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SSM-Tp’s, l=1

SSM-Thom polynomials up to cohomological degree 24

of

contact singularities of relative dimension l=1 up to codimension 12

(the singularities)

codimension 0

Local algebra C
Thom-Boardman class \Sigma^0
Codimension 0
SSM-Thom polynomial in Chern classes 1 -T^2c_{2} +T^3(c_{1}c_{2} +c_{3}) +T^4( -c_{1}^2c_{2} -2c_{1}c_{3} +c_{2}^2 -c_{4}) +T^5(c_{1}^3c_{2} +3c_{1}^2c_{3} -2c_{1}c_{2}^2 +3c_{1}c_{4} -2c_{2}c_{3} +c_{5}) +T^6( -c_{1}^4c_{2} -4c_{1}^3c_{3} +3c_{1}^2c_{2}^2 -6c_{1}^2c_{4} +6c_{1}c_{2}c_{3} -c_{2}^3 -4c_{1}c_{5} +6c_{2}c_{4} -3c_{3}^2 -c_{6}) +T^7(c_{1}^5c_{2} +5c_{1}^4c_{3} -4c_{1}^3c_{2}^2 +10c_{1}^3c_{4} -12c_{1}^2c_{2}c_{3} +3c_{1}c_{2}^3 +10c_{1}^2c_{5} -20c_{1}c_{2}c_{4} +8c_{1}c_{3}^2 +3c_{2}^2c_{3} +5c_{1}c_{6} -8c_{2}c_{5} +4c_{3}c_{4} +c_{7}) +T^8( -c_{1}^6c_{2} -6c_{1}^5c_{3} +5c_{1}^4c_{2}^2 -15c_{1}^4c_{4} +20c_{1}^3c_{2}c_{3} -6c_{1}^2c_{2}^3 -20c_{1}^3c_{5} +45c_{1}^2c_{2}c_{4} -15c_{1}^2c_{3}^2 -12c_{1}c_{2}^2c_{3} +c_{2}^4 -15c_{1}^2c_{6} +35c_{1}c_{2}c_{5} -15c_{1}c_{3}c_{4} -15c_{2}^2c_{4} +9c_{2}c_{3}^2 -6c_{1}c_{7} +14c_{2}c_{6} -21c_{3}c_{5} +12c_{4}^2 -c_{8}) +T^9(c_{1}^7c_{2} +7c_{1}^6c_{3} -6c_{1}^5c_{2}^2 +21c_{1}^5c_{4} -30c_{1}^4c_{2}c_{3} +10c_{1}^3c_{2}^3 +35c_{1}^4c_{5} -84c_{1}^3c_{2}c_{4} +24c_{1}^3c_{3}^2 +30c_{1}^2c_{2}^2c_{3} -4c_{1}c_{2}^4 +35c_{1}^3c_{6} -96c_{1}^2c_{2}c_{5} +36c_{1}^2c_{3}c_{4} +63c_{1}c_{2}^2c_{4} -33c_{1}c_{2}c_{3}^2 -4c_{2}^3c_{3} +21c_{1}^2c_{7} -66c_{1}c_{2}c_{6} +72c_{1}c_{3}c_{5} -36c_{1}c_{4}^2 +29c_{2}^2c_{5} -24c_{2}c_{3}c_{4} +5c_{3}^3 +7c_{1}c_{8} -18c_{2}c_{7} +24c_{3}c_{6} -12c_{4}c_{5} +c_{9}) +T^10( -c_{1}^8c_{2} -8c_{1}^7c_{3} +7c_{1}^6c_{2}^2 -28c_{1}^6c_{4} +42c_{1}^5c_{2}c_{3} -15c_{1}^4c_{2}^3 -56c_{1}^5c_{5} +140c_{1}^4c_{2}c_{4} -35c_{1}^4c_{3}^2 -60c_{1}^3c_{2}^2c_{3} +10c_{1}^2c_{2}^4 -70c_{1}^4c_{6} +210c_{1}^3c_{2}c_{5} -70c_{1}^3c_{3}c_{4} -168c_{1}^2c_{2}^2c_{4} +78c_{1}^2c_{2}c_{3}^2 +20c_{1}c_{2}^3c_{3} -c_{2}^5 -56c_{1}^3c_{7} +200c_{1}^2c_{2}c_{6} -170c_{1}^2c_{3}c_{5} +75c_{1}^2c_{4}^2 -147c_{1}c_{2}^2c_{5} +105c_{1}c_{2}c_{3}c_{4} -18c_{1}c_{3}^3 +28c_{2}^3c_{4} -18c_{2}^2c_{3}^2 -28c_{1}^2c_{8} +102c_{1}c_{2}c_{7} -110c_{1}c_{3}c_{6} +50c_{1}c_{4}c_{5} -63c_{2}^2c_{6} +105c_{2}c_{3}c_{5} -48c_{2}c_{4}^2 -9c_{3}^2c_{4} -8c_{1}c_{9} +26c_{2}c_{8} -54c_{3}c_{7} +80c_{4}c_{6} -45c_{5}^2 -c_{10}) +T^11(c_{1}^9c_{2} +9c_{1}^8c_{3} -8c_{1}^7c_{2}^2 +36c_{1}^7c_{4} -56c_{1}^6c_{2}c_{3} +21c_{1}^5c_{2}^3 +84c_{1}^6c_{5} -216c_{1}^5c_{2}c_{4} +48c_{1}^5c_{3}^2 +105c_{1}^4c_{2}^2c_{3} -20c_{1}^3c_{2}^4 +126c_{1}^5c_{6} -400c_{1}^4c_{2}c_{5} +120c_{1}^4c_{3}c_{4} +360c_{1}^3c_{2}^2c_{4} -150c_{1}^3c_{2}c_{3}^2 -60c_{1}^2c_{2}^3c_{3} +5c_{1}c_{2}^5 +126c_{1}^4c_{7} -484c_{1}^3c_{2}c_{6} +336c_{1}^3c_{3}c_{5} -132c_{1}^3c_{4}^2 +456c_{1}^2c_{2}^2c_{5} -288c_{1}^2c_{2}c_{3}c_{4} +42c_{1}^2c_{3}^3 -144c_{1}c_{2}^3c_{4} +84c_{1}c_{2}^2c_{3}^2 +5c_{2}^4c_{3} +84c_{1}^3c_{8} -354c_{1}^2c_{2}c_{7} +318c_{1}^2c_{3}c_{6} -132c_{1}^2c_{4}c_{5} +347c_{1}c_{2}^2c_{6} -476c_{1}c_{2}c_{3}c_{5} +192c_{1}c_{2}c_{4}^2 +42c_{1}c_{3}^2c_{4} -72c_{2}^3c_{5} +72c_{2}^2c_{3}c_{4} -20c_{2}c_{3}^3 +36c_{1}^2c_{9} -158c_{1}c_{2}c_{8} +240c_{1}c_{3}c_{7} -282c_{1}c_{4}c_{6} +144c_{1}c_{5}^2 +109c_{2}^2c_{7} -198c_{2}c_{3}c_{6} +80c_{2}c_{4}c_{5} +78c_{3}^2c_{5} -48c_{3}c_{4}^2 +9c_{1}c_{10} -32c_{2}c_{9} +66c_{3}c_{8} -78c_{4}c_{7} +36c_{5}c_{6} +c_{11}) +T^12( -c_{1}^10c_{2} -10c_{1}^9c_{3} +9c_{1}^8c_{2}^2 -45c_{1}^8c_{4} +72c_{1}^7c_{2}c_{3} -28c_{1}^6c_{2}^3 -120c_{1}^7c_{5} +315c_{1}^6c_{2}c_{4} -63c_{1}^6c_{3}^2 -168c_{1}^5c_{2}^2c_{3} +35c_{1}^4c_{2}^4 -210c_{1}^6c_{6} +693c_{1}^5c_{2}c_{5} -189c_{1}^5c_{3}c_{4} -675c_{1}^4c_{2}^2c_{4} +255c_{1}^4c_{2}c_{3}^2 +140c_{1}^3c_{2}^3c_{3} -15c_{1}^2c_{2}^5 -252c_{1}^5c_{7} +1015c_{1}^4c_{2}c_{6} -595c_{1}^4c_{3}c_{5} +210c_{1}^4c_{4}^2 -1110c_{1}^3c_{2}^2c_{5} +630c_{1}^3c_{2}c_{3}c_{4} -80c_{1}^3c_{3}^3 +450c_{1}^2c_{2}^3c_{4} -240c_{1}^2c_{2}^2c_{3}^2 -30c_{1}c_{2}^4c_{3} +c_{2}^6 -210c_{1}^4c_{8} +959c_{1}^3c_{2}c_{7} -735c_{1}^3c_{3}c_{6} +280c_{1}^3c_{4}c_{5} -1174c_{1}^2c_{2}^2c_{6} +1366c_{1}^2c_{2}c_{3}c_{5} -492c_{1}^2c_{2}c_{4}^2 -120c_{1}^2c_{3}^2c_{4} +426c_{1}c_{2}^3c_{5} -378c_{1}c_{2}^2c_{3}c_{4} +92c_{1}c_{2}c_{3}^3 -45c_{2}^4c_{4} +30c_{2}^3c_{3}^2 -120c_{1}^3c_{9} +599c_{1}^2c_{2}c_{8} -717c_{1}^2c_{3}c_{7} +690c_{1}^2c_{4}c_{6} -320c_{1}^2c_{5}^2 -679c_{1}c_{2}^2c_{7} +1047c_{1}c_{2}c_{3}c_{6} -392c_{1}c_{2}c_{4}c_{5} -336c_{1}c_{3}^2c_{5} +192c_{1}c_{3}c_{4}^2 +188c_{2}^3c_{6} -326c_{2}^2c_{3}c_{5} +120c_{2}^2c_{4}^2 +60c_{2}c_{3}^2c_{4} -7c_{3}^4 -45c_{1}^2c_{10} +223c_{1}c_{2}c_{9} -363c_{1}c_{3}c_{8} +372c_{1}c_{4}c_{7} -160c_{1}c_{5}c_{6} -187c_{2}^2c_{8} +443c_{2}c_{3}c_{7} -434c_{2}c_{4}c_{6} +202c_{2}c_{5}^2 -150c_{3}^2c_{6} +132c_{3}c_{4}c_{5} -34c_{4}^3 -10c_{1}c_{11} +42c_{2}c_{10} -113c_{3}c_{9} +214c_{4}c_{8} -304c_{5}c_{7} +170c_{6}^2 -c_{12})
SSM-Thom polynomial in Schur functions -T^2s_{2} +s_{0} +T^3(2s_{3} +s_{2,1}) +T^4( -3s_{4} -3s_{3,1} -s_{2,1,1}) +T^5(4s_{5} +6s_{4,1} +4s_{3,1,1} +s_{2,1,1,1}) +T^6( -5s_{6} +s_{3,3} -10s_{5,1} -10s_{4,1,1} -5s_{3,1,1,1} -s_{2,1,1,1,1}) +T^7(6s_{7} -3s_{4,3} +15s_{6,1} -2s_{3,3,1} +20s_{5,1,1} +15s_{4,1,1,1} +6s_{3,1,1,1,1} +s_{2,1,1,1,1,1}) +T^8( -s_{2,1,1,1,1,1,1} -7s_{3,1,1,1,1,1} +3s_{3,3,1,1} +s_{3,3,2} -21s_{4,1,1,1,1} +7s_{4,3,1} +3s_{4,4} -35s_{5,1,1,1} +6s_{5,3} -35s_{6,1,1} -21s_{7,1} -7s_{8}) +T^9(s_{2,1,1,1,1,1,1,1} +8s_{3,1,1,1,1,1,1} -4s_{3,3,1,1,1} -2s_{3,3,2,1} +28s_{4,1,1,1,1,1} -12s_{4,3,1,1} -4s_{4,3,2} -8s_{4,4,1} +56s_{5,1,1,1,1} -16s_{5,3,1} -8s_{5,4} +70s_{6,1,1,1} -10s_{6,3} +56s_{7,1,1} +28s_{8,1} +8s_{9}) +T^10( -s_{2,1,1,1,1,1,1,1,1} -9s_{3,1,1,1,1,1,1,1} +5s_{3,3,1,1,1,1} +3s_{3,3,2,1,1} +s_{3,3,2,2} -36s_{4,1,1,1,1,1,1} +18s_{4,3,1,1,1} +9s_{4,3,2,1} +15s_{4,4,1,1} +6s_{4,4,2} -84s_{5,1,1,1,1,1} +31s_{5,3,1,1} +10s_{5,3,2} +24s_{5,4,1} +6s_{5,5} -126s_{6,1,1,1,1} +30s_{6,3,1} +15s_{6,4} -126s_{7,1,1,1} +15s_{7,3} -84s_{8,1,1} -36s_{9,1} -9s_{10}) +T^11(210s_{8,1,1,1} -21s_{8,3} +120s_{9,1,1} +45s_{10,1} +10s_{11} -65s_{6,3,1,1} -20s_{6,3,2} -50s_{6,4,1} -15s_{6,5} +252s_{7,1,1,1,1} -50s_{7,3,1} -24s_{7,4} +120s_{5,1,1,1,1,1,1} -52s_{5,3,1,1,1} -25s_{5,3,2,1} -50s_{5,4,1,1} -20s_{5,4,2} -20s_{5,5,1} +210s_{6,1,1,1,1,1} -25s_{4,3,1,1,1,1} -15s_{4,3,2,1,1} -5s_{4,3,2,2} -24s_{4,4,1,1,1} -15s_{4,4,2,1} -6s_{3,3,1,1,1,1,1} -4s_{3,3,2,1,1,1} -2s_{3,3,2,2,1} +45s_{4,1,1,1,1,1,1,1} +s_{2,1,1,1,1,1,1,1,1,1} +10s_{3,1,1,1,1,1,1,1,1}) +T^12(77s_{8,3,1} +35s_{8,4} -330s_{9,1,1,1} +28s_{9,3} -165s_{10,1,1} -55s_{11,1} -11s_{12} +10s_{6,6} -462s_{7,1,1,1,1,1} +120s_{7,3,1,1} +35s_{7,3,2} +88s_{7,4,1} +27s_{7,5} -462s_{8,1,1,1,1} +20s_{5,5,2} -330s_{6,1,1,1,1,1,1} +121s_{6,3,1,1,1} +55s_{6,3,2,1} +115s_{6,4,1,1} +45s_{6,4,2} +55s_{6,5,1} +80s_{5,3,1,1,1,1} +46s_{5,3,2,1,1} +15s_{5,3,2,2} +88s_{5,4,1,1,1} +55s_{5,4,2,1} +45s_{5,5,1,1} +11s_{4,3,2,2,1} +35s_{4,4,1,1,1,1} +27s_{4,4,2,1,1} +10s_{4,4,2,2} -s_{4,4,4}
-165s_{5,1,1,1,1,1,1,1} -55s_{4,1,1,1,1,1,1,1,1} +33s_{4,3,1,1,1,1,1} +22s_{4,3,2,1,1,1} +7s_{3,3,1,1,1,1,1,1} +5s_{3,3,2,1,1,1,1} +3s_{3,3,2,2,1,1} +s_{3,3,2,2,2} -11s_{3,1,1,1,1,1,1,1,1,1} -s_{2,1,1,1,1,1,1,1,1,1,1})
SSM-Thom polynomial in Schur-tilde functions T^12S_{1,1,1,1,1,1,1,1,1,1,1,1} +T^11S_{1,1,1,1,1,1,1,1,1,1,1} +T^10S_{1,1,1,1,1,1,1,1,1,1} +T^9S_{1,1,1,1,1,1,1,1,1} +T^8S_{1,1,1,1,1,1,1,1} +T^7S_{1,1,1,1,1,1,1} +T^6S_{1,1,1,1,1,1} +T^5S_{1,1,1,1,1} +T^4S_{1,1,1,1} +T^3S_{1,1,1} +T^2S_{1,1} +TS_{1} +S_{}

codimension 2

Local algebra C[x]/(x^2)
Thom-Boardman class \Sigma^{1,0}
Codimension 2
SSM-Thom polynomial in Chern classes T^2c_{2} +T^3( -c_{1}c_{2} -c_{3}) +T^4(c_{1}^2c_{2} +c_{1}c_{3} -2c_{2}^2 -c_{4}) +T^5( -c_{1}^3c_{2} -c_{1}^2c_{3} +4c_{1}c_{2}^2 +5c_{1}c_{4} +6c_{2}c_{3} +7c_{5}) +T^6(c_{1}^4c_{2} +c_{1}^3c_{3} -6c_{1}^2c_{2}^2 -11c_{1}^2c_{4} -15c_{1}c_{2}c_{3} +3c_{2}^3 -29c_{1}c_{5} -10c_{2}c_{4} -21c_{6}) +T^7( -c_{1}^5c_{2} -c_{1}^4c_{3} +8c_{1}^3c_{2}^2 +19c_{1}^3c_{4} +27c_{1}^2c_{2}c_{3} -9c_{1}c_{2}^3 +71c_{1}^2c_{5} +22c_{1}c_{2}c_{4} +5c_{1}c_{3}^2 -15c_{2}^2c_{3} +99c_{1}c_{6} -4c_{2}c_{5} +10c_{3}c_{4} +51c_{7}) +T^8(c_{1}^6c_{2} +c_{1}^5c_{3} -10c_{1}^4c_{2}^2 -29c_{1}^4c_{4} -42c_{1}^3c_{2}c_{3} +18c_{1}^2c_{2}^3 -139c_{1}^3c_{5} -35c_{1}^2c_{2}c_{4} -17c_{1}^2c_{3}^2 +54c_{1}c_{2}^2c_{3} -4c_{2}^4 -281c_{1}^2c_{6} +57c_{1}c_{2}c_{5} -55c_{1}c_{3}c_{4} +53c_{2}^2c_{4} -7c_{2}c_{3}^2 -279c_{1}c_{7} +72c_{2}c_{6} -24c_{3}c_{5} -18c_{4}^2 -113c_{8}) +T^9( -c_{1}^7c_{2} -c_{1}^6c_{3} +12c_{1}^5c_{2}^2 +41c_{1}^5c_{4} +60c_{1}^4c_{2}c_{3} -30c_{1}^3c_{2}^3 +239c_{1}^4c_{5} +48c_{1}^3c_{2}c_{4} +38c_{1}^3c_{3}^2 -126c_{1}^2c_{2}^2c_{3} +16c_{1}c_{2}^4 +629c_{1}^3c_{6} -210c_{1}^2c_{2}c_{5} +162c_{1}^2c_{3}c_{4} -197c_{1}c_{2}^2c_{4} +7c_{1}c_{2}c_{3}^2 +28c_{2}^3c_{3} +911c_{1}^2c_{7} -484c_{1}c_{2}c_{6} +202c_{1}c_{3}c_{5} +52c_{1}c_{4}^2 -91c_{2}^2c_{5} -30c_{2}c_{3}c_{4} +15c_{3}^3 +713c_{1}c_{8} -326c_{2}c_{7} +158c_{3}c_{6} +6c_{4}c_{5} +239c_{9}) +T^10(c_{1}^8c_{2} +c_{1}^7c_{3} -14c_{1}^6c_{2}^2 -55c_{1}^6c_{4} -81c_{1}^5c_{2}c_{3} +45c_{1}^4c_{2}^3 -377c_{1}^5c_{5} -60c_{1}^4c_{2}c_{4} -70c_{1}^4c_{3}^2 +240c_{1}^3c_{2}^2c_{3} -40c_{1}^2c_{2}^4 -1219c_{1}^4c_{6} +529c_{1}^3c_{2}c_{5} -364c_{1}^3c_{3}c_{4} +478c_{1}^2c_{2}^2c_{4} +22c_{1}^2c_{2}c_{3}^2 -130c_{1}c_{2}^3c_{3} +5c_{2}^5 -2309c_{1}^3c_{7} +1688c_{1}^2c_{2}c_{6} -699c_{1}^2c_{3}c_{5} -127c_{1}^2c_{4}^2 +311c_{1}c_{2}^2c_{5} +239c_{1}c_{2}c_{3}c_{4} -70c_{1}c_{3}^3 -148c_{2}^3c_{4} +28c_{2}^2c_{3}^2 -2647c_{1}^2c_{8} +2183c_{1}c_{2}c_{7} -1029c_{1}c_{3}c_{6} -3c_{1}c_{4}c_{5} +69c_{2}^2c_{6} +c_{2}c_{3}c_{5} +200c_{2}c_{4}^2 -89c_{3}^2c_{4} -1721c_{1}c_{9} +1102c_{2}c_{8} -630c_{3}c_{7} +84c_{4}c_{6} -6c_{5}^2 -493c_{10}) +T^11( -c_{1}^9c_{2} -c_{1}^8c_{3} +16c_{1}^7c_{2}^2 +71c_{1}^7c_{4} +105c_{1}^6c_{2}c_{3} -63c_{1}^5c_{2}^3 +559c_{1}^6c_{5} +70c_{1}^5c_{2}c_{4} +115c_{1}^5c_{3}^2 -405c_{1}^4c_{2}^2c_{3} +80c_{1}^3c_{2}^4 +2141c_{1}^5c_{6} -1095c_{1}^4c_{2}c_{5} +700c_{1}^4c_{3}c_{4} -950c_{1}^3c_{2}^2c_{4} -110c_{1}^3c_{2}c_{3}^2 +370c_{1}^2c_{2}^3c_{3} -25c_{1}c_{2}^5 +4999c_{1}^4c_{7} -4390c_{1}^3c_{2}c_{6} +1749c_{1}^3c_{3}c_{5} +286c_{1}^3c_{4}^2 -668c_{1}^2c_{2}^2c_{5} -900c_{1}^2c_{2}c_{3}c_{4} +198c_{1}^2c_{3}^3 +716c_{1}c_{2}^3c_{4} -86c_{1}c_{2}^2c_{3}^2 -45c_{2}^4c_{3} +7517c_{1}^3c_{8} -8131c_{1}^2c_{2}c_{7} +3557c_{1}^2c_{3}c_{6} +63c_{1}^2c_{4}c_{5} +255c_{1}c_{2}^2c_{6} -670c_{1}c_{2}c_{3}c_{5} -864c_{1}c_{2}c_{4}^2 +464c_{1}c_{3}^2c_{4} +432c_{2}^3c_{5} +28c_{2}^2c_{3}c_{4} -60c_{2}c_{3}^3 +7183c_{1}^2c_{9} -7896c_{1}c_{2}c_{8} +4272c_{1}c_{3}c_{7} -782c_{1}c_{4}c_{6} +235c_{1}c_{5}^2 +499c_{2}^2c_{7} -508c_{2}c_{3}c_{6} -506c_{2}c_{4}c_{5} +372c_{3}^2c_{5} -2c_{3}c_{4}^2 +4007c_{1}c_{10} -3308c_{2}c_{9} +2320c_{3}c_{8} -824c_{4}c_{7} +234c_{5}c_{6} +1003c_{11}) +T^12(c_{1}^10c_{2} +c_{1}^9c_{3} -18c_{1}^8c_{2}^2 -89c_{1}^8c_{4} -132c_{1}^7c_{2}c_{3} +84c_{1}^6c_{2}^3 -791c_{1}^7c_{5} -77c_{1}^6c_{2}c_{4} -175c_{1}^6c_{3}^2 +630c_{1}^5c_{2}^2c_{3} -140c_{1}^4c_{2}^4 -3499c_{1}^6c_{6} +2004c_{1}^5c_{2}c_{5} -1215c_{1}^5c_{3}c_{4} +1675c_{1}^4c_{2}^2c_{4} +295c_{1}^4c_{2}c_{3}^2 -830c_{1}^3c_{2}^3c_{3} +75c_{1}^2c_{2}^5 -9701c_{1}^5c_{7} +9603c_{1}^4c_{2}c_{6} -3665c_{1}^4c_{3}c_{5} -594c_{1}^4c_{4}^2 +1125c_{1}^3c_{2}^2c_{5} +2440c_{1}^3c_{2}c_{3}c_{4} -440c_{1}^3c_{3}^3 -2130c_{1}^2c_{2}^3c_{4} +130c_{1}^2c_{2}^2c_{3}^2 +255c_{1}c_{2}^4c_{3} -6c_{2}^6 -18019c_{1}^4c_{8} +22842c_{1}^3c_{2}c_{7} -9264c_{1}^3c_{3}c_{6} -381c_{1}^3c_{4}c_{5} -2282c_{1}^2c_{2}^2c_{6} +3516c_{1}^2c_{2}c_{3}c_{5} +2492c_{1}^2c_{2}c_{4}^2 -1458c_{1}^2c_{3}^2c_{4} -2194c_{1}c_{2}^3c_{5} -490c_{1}c_{2}^2c_{3}c_{4} +354c_{1}c_{2}c_{3}^3 +315c_{2}^4c_{4} -70c_{2}^3c_{3}^2 -22637c_{1}^3c_{9} +31923c_{1}^2c_{2}c_{8} -15722c_{1}^2c_{3}c_{7} +2563c_{1}^2c_{4}c_{6} -980c_{1}^2c_{5}^2 -5478c_{1}c_{2}^2c_{7} +5266c_{1}c_{2}c_{3}c_{6} +2535c_{1}c_{2}c_{4}c_{5} -2195c_{1}c_{3}^2c_{5} +2c_{1}c_{3}c_{4}^2 -1120c_{2}^3c_{6} +404c_{2}^2c_{3}c_{5} -884c_{2}^2c_{4}^2 +540c_{2}c_{3}^2c_{4} -56c_{3}^4 -18613c_{1}^2c_{10} +25539c_{1}c_{2}c_{9} -16205c_{1}c_{3}c_{8} +5387c_{1}c_{4}c_{7} -1657c_{1}c_{5}c_{6} -3389c_{2}^2c_{8} +3052c_{2}c_{3}c_{7} +1420c_{2}c_{4}c_{6} -193c_{2}c_{5}^2 -1331c_{3}^2c_{6} -353c_{3}c_{4}c_{5} +282c_{4}^3 -9107c_{1}c_{11} +9232c_{2}c_{10} -7630c_{3}c_{9} +3638c_{4}c_{8} -1214c_{5}c_{7} +116c_{6}^2 -2025c_{12})
SSM-Thom polynomial in Schur functions T^2s_{2} +T^3( -2s_{3} -s_{2,1}) +T^4( -s_{4} -s_{2,2} +s_{3,1} +s_{2,1,1}) +T^5(20s_{5} +10s_{3,2} +14s_{4,1} +2s_{2,2,1} -s_{2,1,1,1}) +T^6( -87s_{6} -20s_{3,3} -57s_{4,2} -96s_{5,1} -s_{2,2,2} -23s_{3,2,1} -32s_{4,1,1} -3s_{2,2,1,1} -s_{3,1,1,1} +s_{2,1,1,1,1}) +T^7(282s_{7} +111s_{4,3} +246s_{5,2} +405s_{6,1} +13s_{3,2,2} +51s_{3,3,1} +149s_{4,2,1} +226s_{5,1,1} +2s_{2,2,2,1} +39s_{3,2,1,1} +55s_{4,1,1,1} +4s_{2,2,1,1,1} +2s_{3,1,1,1,1} -s_{2,1,1,1,1,1}) +T^8(s_{2,1,1,1,1,1,1} -5s_{2,2,1,1,1,1} -3s_{2,2,2,1,1} -s_{2,2,2,2} -3s_{3,1,1,1,1,1} -58s_{3,2,1,1,1} -29s_{3,2,2,1} -95s_{3,3,1,1} -30s_{3,3,2} -83s_{4,1,1,1,1} -283s_{4,2,1,1} -94s_{4,2,2} -318s_{4,3,1} -130s_{4,4} -423s_{5,1,1,1} -722s_{5,2,1} -425s_{5,3} -1049s_{6,1,1} -897s_{6,2} -1389s_{7,1} -797s_{8}) +T^9(2080s_{9} +404s_{4,4,1} +700s_{5,1,1,1,1} +1522s_{5,2,1,1} +502s_{5,2,2} +1348s_{5,3,1} +566s_{5,4} +2174s_{6,1,1,1} +2924s_{6,2,1} +1378s_{6,3} +3976s_{7,1,1} +2922s_{7,2} +4232s_{8,1} +80s_{3,2,1,1,1,1} +48s_{3,2,2,1,1} +16s_{3,2,2,2} +154s_{3,3,1,1,1} +72s_{3,3,2,1} -10s_{3,3,3} +116s_{4,1,1,1,1,1} +466s_{4,2,1,1,1} +232s_{4,2,2,1} +660s_{4,3,1,1} +196s_{4,3,2} -s_{2,1,1,1,1,1,1,1} +6s_{2,2,1,1,1,1,1} +4s_{2,2,2,1,1,1} +2s_{2,2,2,2,1} +4s_{3,1,1,1,1,1,1}) +T^10( -6785s_{6,2,1,1} -2215s_{6,2,2} -4788s_{6,3,1} -1756s_{6,4} -9092s_{7,1,1,1} -10481s_{7,2,1} -4058s_{7,3} -13330s_{8,1,1} -8785s_{8,2} -11942s_{9,1} -5155s_{10} -513s_{4,3,2,1} +96s_{4,3,3} -913s_{4,4,1,1} -222s_{4,4,2} -1070s_{5,1,1,1,1,1} -2755s_{5,2,1,1,1} -1360s_{5,2,2,1} -3086s_{5,3,1,1} -855s_{5,3,2} -1899s_{5,4,1} -515s_{5,5} -3964s_{6,1,1,1,1} -230s_{3,3,1,1,1,1} -128s_{3,3,2,1,1} -41s_{3,3,2,2} +32s_{3,3,3,1} -154s_{4,1,1,1,1,1,1} -705s_{4,2,1,1,1,1} -421s_{4,2,2,1,1} -140s_{4,2,2,2} -1182s_{4,3,1,1,1} +s_{2,1,1,1,1,1,1,1,1} -7s_{2,2,1,1,1,1,1,1} -5s_{2,2,2,1,1,1,1} -3s_{2,2,2,2,1,1} -s_{2,2,2,2,2} -5s_{3,1,1,1,1,1,1,1} -105s_{3,2,1,1,1,1,1} -70s_{3,2,2,1,1,1} -35s_{3,2,2,2,1}) +T^11(33428s_{8,1,1,1} +34399s_{8,2,1} +11217s_{8,3} +41146s_{9,1,1} +24886s_{9,2} +31943s_{10,1} +12326s_{11} +13413s_{6,2,1,1,1} +6540s_{6,2,2,1} +11991s_{6,3,1,1} +3096s_{6,3,2} +6279s_{6,4,1} +1831s_{6,5} +18178s_{7,1,1,1,1} +26579s_{7,2,1,1} +8563s_{7,2,2} +15325s_{7,3,1} +4676s_{7,4} +1546s_{5,1,1,1,1,1,1} +4545s_{5,2,1,1,1,1} +2689s_{5,2,2,1,1} +890s_{5,2,2,2} +6061s_{5,3,1,1,1} +2419s_{5,3,2,1} -554s_{5,3,3} +4683s_{5,4,1,1} +875s_{5,4,2} +1799s_{5,5,1} +6632s_{6,1,1,1,1,1} +1007s_{4,2,1,1,1,1,1} +668s_{4,2,2,1,1,1} +333s_{4,2,2,2,1} +1935s_{4,3,1,1,1,1} +993s_{4,3,2,1,1} +303s_{4,3,2,2} -330s_{4,3,3,1} +1778s_{4,4,1,1,1} +603s_{4,4,2,1} -320s_{4,4,3} +95s_{3,2,2,1,1,1,1} +57s_{3,2,2,2,1,1} +19s_{3,2,2,2,2} +325s_{3,3,1,1,1,1,1} +200s_{3,3,2,1,1,1} +95s_{3,3,2,2,1} -68s_{3,3,3,1,1} -34s_{3,3,3,2} +197s_{4,1,1,1,1,1,1,1} -s_{2,1,1,1,1,1,1,1,1,1} +8s_{2,2,1,1,1,1,1,1,1} +6s_{2,2,2,1,1,1,1,1} +4s_{2,2,2,2,1,1,1} +2s_{2,2,2,2,2,1} +6s_{3,1,1,1,1,1,1,1,1} +133s_{3,2,1,1,1,1,1,1}) +T^12( -45758s_{8,3,1} -11374s_{8,4} -112460s_{9,1,1,1} -105652s_{9,2,1} -29639s_{9,3} -119683s_{10,1,1} -67353s_{10,2} -82155s_{11,1} -28713s_{12} -1299s_{6,6} -33128s_{7,1,1,1,1,1} -57051s_{7,2,1,1,1} -27381s_{7,2,2,1} -41704s_{7,3,1,1} -10056s_{7,3,2} -17610s_{7,4,1} -4524s_{7,5} -72856s_{8,1,1,1,1} -94737s_{8,2,1,1} -30044s_{8,2,2} -318s_{5,5,2} -10420s_{6,1,1,1,1,1,1} -24001s_{6,2,1,1,1,1} -14010s_{6,2,2,1,1} -4605s_{6,2,2,2} -25654s_{6,3,1,1,1} -9403s_{6,3,2,1} +2504s_{6,3,3} -16803s_{6,4,1,1} -1942s_{6,4,2} -6546s_{6,5,1} -4619s_{5,2,2,1,1,1} -2289s_{5,2,2,2,1} -10814s_{5,3,1,1,1,1} -5069s_{5,3,2,1,1} -1456s_{5,3,2,2} +2042s_{5,3,3,1} -9965s_{5,4,1,1,1} -2418s_{5,4,2,1} +2304s_{5,4,3} -4754s_{5,5,1,1} -752s_{4,3,2,2,1} +750s_{4,3,3,1,1} +374s_{4,3,3,2} -3154s_{4,4,1,1,1,1} -1238s_{4,4,2,1,1} -300s_{4,4,2,2} +1162s_{4,4,3,1} +397s_{4,4,4} -2141s_{5,1,1,1,1,1,1,1} -7031s_{5,2,1,1,1,1,1} +96s_{3,3,3,2,1} +12s_{3,3,3,3} -245s_{4,1,1,1,1,1,1,1,1} -1379s_{4,2,1,1,1,1,1,1} -980s_{4,2,2,1,1,1,1} -586s_{4,2,2,2,1,1} -195s_{4,2,2,2,2} -2976s_{4,3,1,1,1,1,1} -1684s_{4,3,2,1,1,1} -123s_{3,2,2,1,1,1,1,1} -82s_{3,2,2,2,1,1,1} -41s_{3,2,2,2,2,1} -441s_{3,3,1,1,1,1,1,1} -290s_{3,3,2,1,1,1,1} -164s_{3,3,2,2,1,1} -53s_{3,3,2,2,2} +120s_{3,3,3,1,1,1} -9s_{2,2,1,1,1,1,1,1,1,1} -7s_{2,2,2,1,1,1,1,1,1} -5s_{2,2,2,2,1,1,1,1} -3s_{2,2,2,2,2,1,1} -s_{2,2,2,2,2,2} -7s_{3,1,1,1,1,1,1,1,1,1} -164s_{3,2,1,1,1,1,1,1,1} +s_{2,1,1,1,1,1,1,1,1,1,1})
SSM-Thom polynomial in Schur-tilde functions (8S_{5,2,2,2,1} +S_{6,1,1,1,1,1,1} -8S_{6,2,1,1,1,1} +24S_{6,2,2,1,1} -16S_{6,2,2,2} +96S_{10,2} -145S_{11,1} -19S_{12} +S_{4,1,1,1,1,1,1,1,1} -4S_{4,2,1,1,1,1,1,1} +4S_{4,2,2,1,1,1,1} -S_{5,1,1,1,1,1,1,1} +6S_{5,2,1,1,1,1,1} -12S_{5,2,2,1,1,1} +S_{2,1,1,1,1,1,1,1,1,1,1} -S_{3,1,1,1,1,1,1,1,1,1} +2S_{3,2,1,1,1,1,1,1,1} -S_{7,1,1,1,1,1} +42S_{7,2,1,1,1} -120S_{7,2,2,1} -191S_{8,1,1,1,1} +228S_{8,2,1,1} -100S_{8,2,2} -561S_{9,1,1,1} +294S_{9,2,1} -447S_{10,1,1})T^12 +(S_{6,1,1,1,1,1} +S_{2,1,1,1,1,1,1,1,1,1} +S_{4,1,1,1,1,1,1,1} -S_{3,1,1,1,1,1,1,1,1} +2S_{3,2,1,1,1,1,1,1} -4S_{4,2,1,1,1,1,1} +4S_{4,2,2,1,1,1} -S_{5,1,1,1,1,1,1} +6S_{5,2,1,1,1,1} -12S_{5,2,2,1,1} +8S_{5,2,2,2} -8S_{6,2,1,1,1} +40S_{6,2,2,1} +31S_{7,1,1,1,1} -70S_{7,2,1,1} +40S_{7,2,2} +241S_{8,1,1,1} -172S_{8,2,1} +279S_{9,1,1} -70S_{9,2} +113S_{10,1} +17S_{11})T^11 +(S_{2,1,1,1,1,1,1,1,1} +S_{4,1,1,1,1,1,1} +S_{6,1,1,1,1} -S_{3,1,1,1,1,1,1,1} +2S_{3,2,1,1,1,1,1} -4S_{4,2,1,1,1,1} +4S_{4,2,2,1,1} -S_{5,1,1,1,1,1} +6S_{5,2,1,1,1} -12S_{5,2,2,1} +8S_{6,2,1,1} -8S_{6,2,2} -81S_{7,1,1,1} +90S_{7,2,1} -159S_{8,1,1} +48S_{8,2} -85S_{9,1} -15S_{10})T^10 +(S_{4,1,1,1,1,1} +S_{2,1,1,1,1,1,1,1} -30S_{7,2} +61S_{8,1} +13S_{9} -S_{3,1,1,1,1,1,1} +2S_{3,2,1,1,1,1} -4S_{4,2,1,1,1} +4S_{4,2,2,1} -S_{5,1,1,1,1} +6S_{5,2,1,1} -4S_{5,2,2} +17S_{6,1,1,1} -40S_{6,2,1} +79S_{7,1,1})T^9 +(S_{2,1,1,1,1,1,1} +S_{4,1,1,1,1} -S_{3,1,1,1,1,1} +2S_{3,2,1,1,1} -4S_{4,2,1,1} +4S_{4,2,2} -S_{5,1,1,1} +14S_{5,2,1} -31S_{6,1,1} +16S_{6,2} -41S_{7,1} -11S_{8})T^8 +(S_{2,1,1,1,1,1} +S_{4,1,1,1} -S_{3,1,1,1,1} +2S_{3,2,1,1} -4S_{4,2,1} +7S_{5,1,1} -6S_{5,2} +25S_{6,1} +9S_{7})T^7 +(S_{2,1,1,1,1} +S_{4,1,1} -13S_{5,1} -7S_{6} -S_{3,1,1,1} +2S_{3,2,1})T^6 +(S_{2,1,1,1} -S_{3,1,1} +2S_{3,2} +5S_{4,1} +5S_{5})T^5 +(S_{2,1,1} -S_{3,1} -3S_{4})T^4 +(S_{2,1} +S_{3})T^3 +T^2S_{2}

codimension 4

Local algebra C[x]/(x^3)
Thom-Boardman class \Sigma^{1,1,0}
Codimension 4
SSM-Thom polynomial in Chern classes T^4(c_{1}c_{3} +c_{2}^2 +2c_{4}) +T^5( -2c_{1}^2c_{3} -2c_{1}c_{2}^2 -8c_{1}c_{4} -4c_{2}c_{3} -8c_{5}) +T^6(3c_{1}^3c_{3} +3c_{1}^2c_{2}^2 +15c_{1}^2c_{4} +6c_{1}c_{2}c_{3} -3c_{2}^3 +23c_{1}c_{5} -2c_{2}c_{4} +c_{3}^2 +10c_{6}) +T^7( -4c_{1}^4c_{3} -4c_{1}^3c_{2}^2 -23c_{1}^3c_{4} -6c_{1}^2c_{2}c_{3} +9c_{1}c_{2}^3 -33c_{1}^2c_{5} +38c_{1}c_{2}c_{4} -2c_{1}c_{3}^2 +21c_{2}^2c_{3} +22c_{1}c_{6} +62c_{2}c_{5} +8c_{3}c_{4} +56c_{7}) +T^8(5c_{1}^5c_{3} +5c_{1}^4c_{2}^2 +32c_{1}^4c_{4} +4c_{1}^3c_{2}c_{3} -18c_{1}^2c_{2}^3 +33c_{1}^3c_{5} -120c_{1}^2c_{2}c_{4} +c_{1}^2c_{3}^2 -66c_{1}c_{2}^2c_{3} +6c_{2}^4 -206c_{1}^2c_{6} -350c_{1}c_{2}c_{5} -56c_{1}c_{3}c_{4} -51c_{2}^2c_{4} -15c_{2}c_{3}^2 -611c_{1}c_{7} -306c_{2}c_{6} -64c_{3}c_{5} -29c_{4}^2 -486c_{8}) +T^9( -6c_{1}^6c_{3} -6c_{1}^5c_{2}^2 -42c_{1}^5c_{4} +30c_{1}^3c_{2}^3 -18c_{1}^4c_{5} +260c_{1}^3c_{2}c_{4} +4c_{1}^3c_{3}^2 +138c_{1}^2c_{2}^2c_{3} -24c_{1}c_{2}^4 +672c_{1}^3c_{6} +994c_{1}^2c_{2}c_{5} +200c_{1}^2c_{3}c_{4} +101c_{1}c_{2}^2c_{4} +73c_{1}c_{2}c_{3}^2 -60c_{2}^3c_{3} +2628c_{1}^2c_{7} +1558c_{1}c_{2}c_{6} +404c_{1}c_{3}c_{5} +204c_{1}c_{4}^2 -45c_{2}^2c_{5} +82c_{2}c_{3}c_{4} -7c_{3}^3 +4116c_{1}c_{8} +956c_{2}c_{7} +296c_{3}c_{6} +260c_{4}c_{5} +2424c_{9}) +T^10(7c_{1}^7c_{3} +7c_{1}^6c_{2}^2 +53c_{1}^6c_{4} -6c_{1}^5c_{2}c_{3} -45c_{1}^4c_{2}^3 -17c_{1}^5c_{5} -470c_{1}^4c_{2}c_{4} -15c_{1}^4c_{3}^2 -240c_{1}^3c_{2}^2c_{3} +60c_{1}^2c_{2}^4 -1585c_{1}^4c_{6} -2146c_{1}^3c_{2}c_{5} -514c_{1}^3c_{3}c_{4} -71c_{1}^2c_{2}^2c_{4} -204c_{1}^2c_{2}c_{3}^2 +260c_{1}c_{2}^3c_{3} -10c_{2}^5 -7661c_{1}^3c_{7} -4336c_{1}^2c_{2}c_{6} -1540c_{1}^2c_{3}c_{5} -695c_{1}^2c_{4}^2 +848c_{1}c_{2}^2c_{5} -332c_{1}c_{2}c_{3}c_{4} -6c_{1}c_{3}^3 +268c_{2}^3c_{4} +52c_{2}^2c_{3}^2 -17503c_{1}^2c_{8} -4208c_{1}c_{2}c_{7} -2326c_{1}c_{3}c_{6} -1688c_{1}c_{4}c_{5} +1059c_{2}^2c_{6} +20c_{2}c_{3}c_{5} -57c_{2}c_{4}^2 -63c_{3}^2c_{4} -20477c_{1}c_{9} -1638c_{2}c_{8} -1464c_{3}c_{7} -1034c_{4}c_{6} -261c_{5}^2 -9910c_{10}) +T^11( -8c_{1}^8c_{3} -8c_{1}^7c_{2}^2 -65c_{1}^7c_{4} +14c_{1}^6c_{2}c_{3} +63c_{1}^5c_{2}^3 +77c_{1}^6c_{5} +762c_{1}^5c_{2}c_{4} +34c_{1}^5c_{3}^2 +375c_{1}^4c_{2}^2c_{3} -120c_{1}^3c_{2}^4 +3145c_{1}^5c_{6} +3980c_{1}^4c_{2}c_{5} +1090c_{1}^4c_{3}c_{4} -145c_{1}^3c_{2}^2c_{4} +440c_{1}^3c_{2}c_{3}^2 -700c_{1}^2c_{2}^3c_{3} +50c_{1}c_{2}^5 +18035c_{1}^4c_{7} +9290c_{1}^3c_{2}c_{6} +4312c_{1}^3c_{3}c_{5} +1768c_{1}^3c_{4}^2 -3663c_{1}^2c_{2}^2c_{5} +754c_{1}^2c_{2}c_{3}c_{4} +94c_{1}^2c_{3}^3 -1104c_{1}c_{2}^3c_{4} -336c_{1}c_{2}^2c_{3}^2 +130c_{2}^4c_{3} +53419c_{1}^3c_{8} +9474c_{1}^2c_{2}c_{7} +10058c_{1}^2c_{3}c_{6} +6072c_{1}^2c_{4}c_{5} -8383c_{1}c_{2}^2c_{6} -222c_{1}c_{2}c_{3}c_{5} -385c_{1}c_{2}c_{4}^2 +655c_{1}c_{3}^2c_{4} -638c_{2}^3c_{5} -578c_{2}^2c_{3}c_{4} +116c_{2}c_{3}^3 +91877c_{1}^2c_{9} +964c_{1}c_{2}c_{8} +13334c_{1}c_{3}c_{7} +6918c_{1}c_{4}c_{6} +1860c_{1}c_{5}^2 -6607c_{2}^2c_{7} -274c_{2}c_{3}c_{6} -1156c_{2}c_{4}c_{5} +481c_{3}^2c_{5} +363c_{3}c_{4}^2 +87874c_{1}c_{10} -3386c_{2}c_{9} +7702c_{3}c_{8} +3504c_{4}c_{7} +1470c_{5}c_{6} +36472c_{11}) +T^12(9c_{1}^9c_{3} +9c_{1}^8c_{2}^2 +78c_{1}^8c_{4} -24c_{1}^7c_{2}c_{3} -84c_{1}^6c_{2}^3 -167c_{1}^7c_{5} -1148c_{1}^6c_{2}c_{4} -63c_{1}^6c_{3}^2 -546c_{1}^5c_{2}^2c_{3} +210c_{1}^4c_{2}^4 -5587c_{1}^6c_{6} -6692c_{1}^5c_{2}c_{5} -2038c_{1}^5c_{3}c_{4} +680c_{1}^4c_{2}^2c_{4} -815c_{1}^4c_{2}c_{3}^2 +1500c_{1}^3c_{2}^3c_{3} -150c_{1}^2c_{2}^5 -36995c_{1}^5c_{7} -17118c_{1}^4c_{2}c_{6} -9945c_{1}^4c_{3}c_{5} -3806c_{1}^4c_{4}^2 +10403c_{1}^3c_{2}^2c_{5} -1223c_{1}^3c_{2}c_{3}c_{4} -345c_{1}^3c_{3}^3 +2815c_{1}^2c_{2}^3c_{4} +1190c_{1}^2c_{2}^2c_{3}^2 -705c_{1}c_{2}^4c_{3} +15c_{2}^6 -133759c_{1}^4c_{8} -13848c_{1}^3c_{2}c_{7} -30996c_{1}^3c_{3}c_{6} -16694c_{1}^3c_{4}c_{5} +32196c_{1}^2c_{2}^2c_{6} +2269c_{1}^2c_{2}c_{3}c_{5} +2620c_{1}^2c_{2}c_{4}^2 -2812c_{1}^2c_{3}^2c_{4} +1589c_{1}c_{2}^3c_{5} +3397c_{1}c_{2}^2c_{3}c_{4} -436c_{1}c_{2}c_{3}^3 -820c_{2}^4c_{4} -120c_{2}^3c_{3}^2 -300467c_{1}^3c_{9} +28888c_{1}^2c_{2}c_{8} -62999c_{1}^2c_{3}c_{7} -26032c_{1}^2c_{4}c_{6} -7994c_{1}^2c_{5}^2 +47507c_{1}c_{2}^2c_{7} +4240c_{1}c_{2}c_{3}c_{6} +11098c_{1}c_{2}c_{4}c_{5} -4690c_{1}c_{3}^2c_{5} -2331c_{1}c_{3}c_{4}^2 -186c_{2}^3c_{6} +896c_{2}^2c_{3}c_{5} +1491c_{2}^2c_{4}^2 -346c_{2}c_{3}^2c_{4} -53c_{3}^4 -422740c_{1}^2c_{10} +74912c_{1}c_{2}c_{9} -76116c_{1}c_{3}c_{8} -23032c_{1}c_{4}c_{7} -12246c_{1}c_{5}c_{6} +29283c_{2}^2c_{8} +2092c_{2}c_{3}c_{7} +8370c_{2}c_{4}c_{6} +2357c_{2}c_{5}^2 -3981c_{3}^2c_{6} -2296c_{3}c_{4}c_{5} -57c_{4}^3 -345127c_{1}c_{11} +49706c_{2}c_{10} -40810c_{3}c_{9} -8972c_{4}c_{8} -4060c_{5}c_{7} -2243c_{6}^2 -125894c_{12})
SSM-Thom polynomial in Schur functions T^4(4s_{4} +s_{2,2} +2s_{3,1}) +T^5( -24s_{5} -10s_{3,2} -20s_{4,1} -2s_{2,2,1} -4s_{3,1,1}) +T^6(56s_{6} +13s_{3,3} +38s_{4,2} +76s_{5,1} +18s_{3,2,1} +36s_{4,1,1} +3s_{2,2,1,1} +6s_{3,1,1,1}) +T^7(144s_{7} +39s_{4,3} +72s_{5,2} +48s_{6,1} +14s_{3,2,2} -2s_{3,3,1} -14s_{4,2,1} -84s_{5,1,1} +s_{2,2,2,1} -24s_{3,2,1,1} -52s_{4,1,1,1} -4s_{2,2,1,1,1} -8s_{3,1,1,1,1}) +T^8(5s_{2,2,1,1,1,1} -3s_{2,2,2,1,1} -2s_{2,2,2,2} +10s_{3,1,1,1,1,1} +28s_{3,2,1,1,1} -58s_{3,2,2,1} -41s_{3,3,1,1} -144s_{3,3,2} +68s_{4,1,1,1,1} -95s_{4,2,1,1} -295s_{4,2,2} -573s_{4,3,1} -361s_{4,4} +26s_{5,1,1,1} -1028s_{5,2,1} -1210s_{5,3} -908s_{6,1,1} -2105s_{6,2} -2682s_{7,1} -2292s_{8}) +T^9(15192s_{9} +2444s_{4,4,1} +120s_{5,1,1,1,1} +3426s_{5,2,1,1} +3426s_{5,2,2} +7828s_{5,3,1} +4844s_{5,4} +3060s_{6,1,1,1} +12684s_{6,2,1} +11133s_{6,3} +12624s_{7,1,1} +18246s_{7,2} +22524s_{8,1} -30s_{3,2,1,1,1,1} +138s_{3,2,2,1,1} +72s_{3,2,2,2} +124s_{3,3,1,1,1} +519s_{3,3,2,1} +298s_{3,3,3} -84s_{4,1,1,1,1,1} +312s_{4,2,1,1,1} +1092s_{4,2,2,1} +1893s_{4,3,1,1} +2352s_{4,3,2} -6s_{2,2,1,1,1,1,1} +6s_{2,2,2,1,1,1} +6s_{2,2,2,2,1} -12s_{3,1,1,1,1,1,1}) +T^10( -39046s_{6,2,1,1} -29117s_{6,2,2} -65315s_{6,3,1} -37024s_{6,4} -36772s_{7,1,1,1} -100018s_{7,2,1} -73454s_{7,3} -97088s_{8,1,1} -115724s_{8,2} -134992s_{9,1} -77888s_{10} -8664s_{4,3,2,1} -3913s_{4,3,3} -7646s_{4,4,1,1} -7645s_{4,4,2} -376s_{5,1,1,1,1,1} -7934s_{5,2,1,1,1} -12740s_{5,2,2,1} -24302s_{5,3,1,1} -22578s_{5,3,2} -29372s_{5,4,1} -10868s_{5,5} -7160s_{6,1,1,1,1} -255s_{3,3,1,1,1,1} -1209s_{3,3,2,1,1} -578s_{3,3,2,2} -1082s_{3,3,3,1} +100s_{4,1,1,1,1,1,1} -660s_{4,2,1,1,1,1} -2585s_{4,2,2,1,1} -1225s_{4,2,2,2} -4343s_{4,3,1,1,1} +7s_{2,2,1,1,1,1,1,1} -10s_{2,2,2,1,1,1,1} -12s_{2,2,2,2,1,1} -5s_{2,2,2,2,2} +14s_{3,1,1,1,1,1,1,1} +30s_{3,2,1,1,1,1,1} -260s_{3,2,2,1,1,1} -214s_{3,2,2,2,1}) +T^11(287392s_{8,1,1,1} +634316s_{8,2,1} +406722s_{8,3} +587528s_{9,1,1} +622160s_{9,2} +684592s_{10,1} +349248s_{11} +91296s_{6,2,1,1,1} +112155s_{6,2,2,1} +207687s_{6,3,1,1} +166224s_{6,3,2} +222240s_{6,4,1} +91936s_{6,5} +84800s_{7,1,1,1,1} +314206s_{7,2,1,1} +202796s_{7,2,2} +429172s_{7,3,1} +220036s_{7,4} +764s_{5,1,1,1,1,1,1} +15330s_{5,2,1,1,1,1} +31256s_{5,2,2,1,1} +14050s_{5,2,2,2} +56696s_{5,3,1,1,1} +86822s_{5,3,2,1} +32336s_{5,3,3} +93936s_{5,4,1,1} +80884s_{5,4,2} +66168s_{5,5,1} +13984s_{6,1,1,1,1,1} +1162s_{4,2,1,1,1,1,1} +4993s_{4,2,2,1,1,1} +3756s_{4,2,2,2,1} +8320s_{4,3,1,1,1,1} +21065s_{4,3,2,1,1} +9637s_{4,3,2,2} +15111s_{4,3,3,1} +17860s_{4,4,1,1,1} +29393s_{4,4,2,1} +13716s_{4,4,3} +430s_{3,2,2,1,1,1,1} +438s_{3,2,2,2,1,1} +176s_{3,2,2,2,2} +442s_{3,3,1,1,1,1,1} +2308s_{3,3,2,1,1,1} +1754s_{3,3,2,2,1} +2590s_{3,3,3,1,1} +1268s_{3,3,3,2} -116s_{4,1,1,1,1,1,1,1} -8s_{2,2,1,1,1,1,1,1,1} +15s_{2,2,2,1,1,1,1,1} +20s_{2,2,2,2,1,1,1} +13s_{2,2,2,2,2,1} -16s_{3,1,1,1,1,1,1,1,1} -28s_{3,2,1,1,1,1,1,1}) +T^12( -2435450s_{8,3,1} -1130416s_{8,4} -1819972s_{9,1,1,1} -3508888s_{9,2,1} -2013847s_{9,3} -3090728s_{10,1,1} -3007123s_{10,2} -3130262s_{11,1} -1439788s_{12} -156789s_{6,6} -169732s_{7,1,1,1,1,1} -768422s_{7,2,1,1,1} -817766s_{7,2,2,1} -1425792s_{7,3,1,1} -1037998s_{7,3,2} -1347524s_{7,4,1} -540700s_{7,5} -692336s_{8,1,1,1,1} -2080846s_{8,2,1,1} -1228994s_{8,2,2} -177776s_{5,5,2} -24428s_{6,1,1,1,1,1,1} -182754s_{6,2,1,1,1,1} -288731s_{6,2,2,1,1} -125368s_{6,2,2,2} -507803s_{6,3,1,1,1} -671451s_{6,3,2,1} -214059s_{6,3,3} -741321s_{6,4,1,1} -578338s_{6,4,2} -570164s_{6,5,1} -63158s_{5,2,2,1,1,1} -45034s_{5,2,2,2,1} -112919s_{5,3,1,1,1,1} -222281s_{5,3,2,1,1} -98627s_{5,3,2,2} -132249s_{5,3,3,1} -229690s_{5,4,1,1,1} -326433s_{5,4,2,1} -132184s_{5,4,3} -221399s_{5,5,1,1} -30651s_{4,3,2,2,1} -38402s_{4,3,3,1,1} -18514s_{4,3,3,2} -35544s_{4,4,1,1,1,1} -75119s_{4,4,2,1,1} -33522s_{4,4,2,2} -55814s_{4,4,3,1} -13388s_{4,4,4} -1306s_{5,1,1,1,1,1,1,1} -26502s_{5,2,1,1,1,1,1} -3978s_{3,3,3,2,1} -392s_{3,3,3,3} +132s_{4,1,1,1,1,1,1,1,1} -1841s_{4,2,1,1,1,1,1,1} -8560s_{4,2,2,1,1,1,1} -8019s_{4,2,2,2,1,1} -3152s_{4,2,2,2,2} -14274s_{4,3,1,1,1,1,1} -42219s_{4,3,2,1,1,1} -654s_{3,2,2,1,1,1,1,1} -756s_{3,2,2,2,1,1,1} -474s_{3,2,2,2,2,1} -693s_{3,3,1,1,1,1,1,1} -3920s_{3,3,2,1,1,1,1} -3712s_{3,3,2,2,1,1} -1463s_{3,3,2,2,2} -5115s_{3,3,3,1,1,1} +9s_{2,2,1,1,1,1,1,1,1,1} -21s_{2,2,2,1,1,1,1,1,1} -30s_{2,2,2,2,1,1,1,1} -24s_{2,2,2,2,2,1,1} -9s_{2,2,2,2,2,2} +18s_{3,1,1,1,1,1,1,1,1,1} +24s_{3,2,1,1,1,1,1,1,1})
SSM-Thom polynomial in Schur-tilde functions ( -10218S_{7,3,1,1} +9040S_{7,3,2} -7952S_{7,4,1} -1442S_{7,5} -25984S_{8,3,1} -5224S_{8,4} -18640S_{9,3} -176S_{5,2,2,2,1} -30S_{6,1,1,1,1,1,1} +222S_{6,2,1,1,1,1} -445S_{6,2,2,1,1} +254S_{6,2,2,2} -77508S_{10,2} -109648S_{11,1} -32956S_{12} -6S_{4,1,1,1,1,1,1,1,1} +26S_{4,2,1,1,1,1,1,1} -38S_{4,2,2,1,1,1,1} +14S_{5,1,1,1,1,1,1,1} -82S_{5,2,1,1,1,1,1} +180S_{5,2,2,1,1,1} +2S_{3,1,1,1,1,1,1,1,1,1} -6S_{3,2,1,1,1,1,1,1,1} +62S_{7,1,1,1,1,1} -3636S_{7,2,1,1,1} +6420S_{7,2,2,1} -5292S_{8,1,1,1,1} -32304S_{8,2,1,1} +6508S_{8,2,2} -48800S_{9,1,1,1} -98632S_{9,2,1} -121364S_{10,1,1} +19S_{4,2,2,2,1,1} -34S_{4,3,1,1,1,1,1} +102S_{4,3,2,1,1,1} -84S_{4,3,2,2,1} -20S_{4,3,3,1,1} +12S_{4,3,3,2} +19S_{4,4,1,1,1,1} -52S_{4,4,2,1,1} +31S_{4,4,2,2} +30S_{4,4,3,1} +132S_{5,3,1,1,1,1} -411S_{5,3,2,1,1} +S_{2,2,1,1,1,1,1,1,1,1} +259S_{5,3,2,2} +166S_{5,3,3,1} -552S_{5,4,1,1,1} +1481S_{5,4,2,1} +144S_{5,4,3} -635S_{5,5,1,1} +468S_{5,5,2} -1750S_{6,3,1,1,1} +5118S_{6,3,2,1} +464S_{6,3,3} -3564S_{6,4,1,1} +3050S_{6,4,2} -2116S_{6,5,1} -227S_{6,6} +5S_{3,2,2,1,1,1,1,1} +5S_{3,3,1,1,1,1,1,1} -12S_{3,3,2,1,1,1,1} +5S_{3,3,2,2,1,1} +2S_{3,3,3,1,1,1})T^12 +( -60S_{4,3,2,2} -20S_{4,3,3,1} +43S_{4,4,1,1,1} -160S_{4,4,2,1} -10S_{4,4,3} +221S_{5,3,1,1,1} -882S_{5,3,2,1} -30S_{5,3,3} +622S_{5,4,1,1} -511S_{5,4,2} +399S_{5,5,1} +13484S_{11} +S_{2,2,1,1,1,1,1,1,1} +5S_{3,2,2,1,1,1,1} +5S_{3,3,1,1,1,1,1} -12S_{3,3,2,1,1,1} +5S_{3,3,2,2,1} +2S_{3,3,3,1,1} +19S_{4,2,2,2,1} -34S_{4,3,1,1,1,1} +102S_{4,3,2,1,1} +1906S_{6,3,1,1} -1620S_{6,3,2} +2686S_{6,4,1} +544S_{6,5} +8880S_{7,3,1} +2260S_{7,4} +7824S_{8,3} -38S_{4,2,2,1,1,1} +14S_{5,1,1,1,1,1,1} -82S_{5,2,1,1,1,1} +180S_{5,2,2,1,1} -111S_{5,2,2,2} -30S_{6,1,1,1,1,1} +433S_{6,2,1,1,1} -1370S_{6,2,2,1} +420S_{7,1,1,1,1} +5516S_{7,2,1,1} -1660S_{7,2,2} +9072S_{8,1,1,1} +27176S_{8,2,1} +34516S_{9,1,1} +26084S_{9,2} +39200S_{10,1} +2S_{3,1,1,1,1,1,1,1,1} -6S_{3,2,1,1,1,1,1,1} -6S_{4,1,1,1,1,1,1,1} +26S_{4,2,1,1,1,1,1})T^11 +(2S_{3,1,1,1,1,1,1,1} -6S_{3,2,1,1,1,1,1} -6S_{4,1,1,1,1,1,1} +26S_{4,2,1,1,1,1} -38S_{4,2,2,1,1} +5S_{3,2,2,1,1,1} +5S_{3,3,1,1,1,1} -12S_{3,3,2,1,1} +5S_{3,3,2,2} +2S_{3,3,3,1} +19S_{4,2,2,2} -34S_{4,3,1,1,1} +126S_{4,3,2,1} -8S_{4,3,3} -53S_{4,4,1,1} +43S_{4,4,2} -200S_{5,3,1,1} +157S_{5,3,2} -702S_{5,4,1} -113S_{5,5} -2588S_{6,3,1} -840S_{6,4} -2936S_{7,3} -5276S_{10} +S_{2,2,1,1,1,1,1,1} +14S_{5,1,1,1,1,1} -82S_{5,2,1,1,1} +245S_{5,2,2,1} -30S_{6,1,1,1,1} -606S_{6,2,1,1} +276S_{6,2,2} -1208S_{7,1,1,1} -6824S_{7,2,1} -8660S_{8,1,1} -8276S_{8,2} -13072S_{9,1})T^10 +(S_{2,2,1,1,1,1,1} +5S_{3,2,2,1,1} +5S_{3,3,1,1,1} -12S_{3,3,2,1} +2S_{3,3,3} -10S_{4,3,1,1} +18S_{4,3,2} +102S_{4,4,1} +611S_{5,3,1} +247S_{5,4} +952S_{6,3} +2S_{3,1,1,1,1,1,1} -6S_{3,2,1,1,1,1} -6S_{4,1,1,1,1,1} +26S_{4,2,1,1,1} -38S_{4,2,2,1} +14S_{5,1,1,1,1} -17S_{5,2,1,1} +4S_{5,2,2} +68S_{6,1,1,1} +1520S_{6,2,1} +1812S_{7,1,1} +2436S_{7,2} +3936S_{8,1} +1932S_{9})T^9 +(S_{2,2,1,1,1,1} +2S_{3,1,1,1,1,1} -6S_{3,2,1,1,1} +5S_{3,2,2,1} +5S_{3,3,1,1} -7S_{3,3,2} -6S_{4,1,1,1,1} +26S_{4,2,1,1} -19S_{4,2,2} -106S_{4,3,1} -39S_{4,4} +14S_{5,1,1,1} -288S_{5,2,1} -252S_{5,3} -292S_{6,1,1} -644S_{6,2} -1008S_{7,1} -636S_{8})T^8 +(S_{2,2,1,1,1} -6S_{3,2,1,1} +5S_{3,2,2} +10S_{3,3,1} -6S_{4,1,1,1} +45S_{4,2,1} +48S_{4,3} +36S_{5,1,1} +140S_{5,2} +192S_{6,1} +172S_{7} +2S_{3,1,1,1,1})T^7 +(S_{2,2,1,1} +2S_{3,1,1,1} -6S_{3,2,1} -5S_{3,3} -6S_{4,1,1} -18S_{4,2} -16S_{5,1} -28S_{6})T^6 +(S_{2,2,1} +2S_{3,1,1} -S_{3,2} -4S_{4,1} -4S_{5})T^5 +(S_{2,2} +2S_{3,1} +4S_{4})T^4

codimension 6

Local algebra C[x]/(x^4)
Thom-Boardman class \Sigma^{1,1,1,0}
Codimension 6
SSM-Thom polynomial in Chern classes

T^6(2c_{1}^2c_{4} +3c_{1}c_{2}c_{3} +c_{2}^3 +10c_{1}c_{5} +7c_{2}c_{4} +c_{3}^2 +12c_{6}) +T^7( -6c_{1}^3c_{4} -9c_{1}^2c_{2}c_{3} -3c_{1}c_{2}^3 -48c_{1}^2c_{5} -42c_{1}c_{2}c_{4} -9c_{1}c_{3}^2 -9c_{2}^2c_{3} -126c_{1}c_{6} -51c_{2}c_{5} -21c_{3}c_{4} -108c_{7}) +T^8(12c_{1}^4c_{4} +18c_{1}^3c_{2}c_{3} +6c_{1}^2c_{2}^3 +120c_{1}^3c_{5} +104c_{1}^2c_{2}c_{4} +26c_{1}^2c_{3}^2 +18c_{1}c_{2}^2c_{3} -4c_{2}^4 +448c_{1}^2c_{6} +208c_{1}c_{2}c_{5} +106c_{1}c_{3}c_{4} -5c_{2}^2c_{4} +11c_{2}c_{3}^2 +740c_{1}c_{7} +146c_{2}c_{6} +83c_{3}c_{5} +27c_{4}^2 +456c_{8}) +T^9( -20c_{1}^5c_{4} -30c_{1}^4c_{2}c_{3} -10c_{1}^3c_{2}^3 -232c_{1}^4c_{5} -192c_{1}^3c_{2}c_{4} -54c_{1}^3c_{3}^2 -18c_{1}^2c_{2}^2c_{3} +16c_{1}c_{2}^4 -1024c_{1}^3c_{6} -352c_{1}^2c_{2}c_{5} -278c_{1}^2c_{3}c_{4} +169c_{1}c_{2}^2c_{4} -7c_{1}c_{2}c_{3}^2 +52c_{2}^3c_{3} -2072c_{1}^2c_{7} +68c_{1}c_{2}c_{6} -327c_{1}c_{3}c_{5} -95c_{1}c_{4}^2 +300c_{2}^2c_{5} +90c_{2}c_{3}c_{4} -4c_{3}^3 -1764c_{1}c_{8} +518c_{2}c_{7} -100c_{3}c_{6} -34c_{4}c_{5} -360c_{9}) +T^10(30c_{1}^6c_{4} +45c_{1}^5c_{2}c_{3} +15c_{1}^4c_{2}^3 +390c_{1}^5c_{5} +305c_{1}^4c_{2}c_{4} +95c_{1}^4c_{3}^2 -40c_{1}^2c_{2}^4 +1890c_{1}^4c_{6} +311c_{1}^3c_{2}c_{5} +554c_{1}^3c_{3}c_{4} -679c_{1}^2c_{2}^2c_{4} -56c_{1}^2c_{2}c_{3}^2 -200c_{1}c_{2}^3c_{3} +10c_{2}^5 +3570c_{1}^3c_{7} -2821c_{1}^2c_{2}c_{6} +611c_{1}^2c_{3}c_{5} +120c_{1}^2c_{4}^2 -2196c_{1}c_{2}^2c_{5} -862c_{1}c_{2}c_{3}c_{4} +28c_{1}c_{3}^3 -168c_{2}^3c_{4} -112c_{2}^2c_{3}^2 -906c_{1}^2c_{8} -9603c_{1}c_{2}c_{7} -622c_{1}c_{3}c_{6} -614c_{1}c_{4}c_{5} -2288c_{2}^2c_{6} -1023c_{2}c_{3}c_{5} -384c_{2}c_{4}^2 +2c_{3}^2c_{4} -11850c_{1}c_{9} -9087c_{2}c_{8} -1462c_{3}c_{7} -879c_{4}c_{6} -356c_{5}^2 -11196c_{10}) +T^11( -42c_{1}^7c_{4} -63c_{1}^6c_{2}c_{3} -21c_{1}^5c_{2}^3 -600c_{1}^6c_{5} -442c_{1}^5c_{2}c_{4} -151c_{1}^5c_{3}^2 +45c_{1}^4c_{2}^2c_{3} +80c_{1}^3c_{2}^4 -3072c_{1}^5c_{6} +140c_{1}^4c_{2}c_{5} -945c_{1}^4c_{3}c_{4} +1755c_{1}^3c_{2}^2c_{4} +240c_{1}^3c_{2}c_{3}^2 +480c_{1}^2c_{2}^3c_{3} -50c_{1}c_{2}^5 -3960c_{1}^4c_{7} +11686c_{1}^3c_{2}c_{6} -512c_{1}^3c_{3}c_{5} +81c_{1}^3c_{4}^2 +7296c_{1}^2c_{2}^2c_{5} +3408c_{1}^2c_{2}c_{3}c_{4} -69c_{1}^2c_{3}^3 +306c_{1}c_{2}^3c_{4} +474c_{1}c_{2}^2c_{3}^2 -170c_{2}^4c_{3} +23760c_{1}^3c_{8} +50444c_{1}^2c_{2}c_{7} +6303c_{1}^2c_{3}c_{6} +4748c_{1}^2c_{4}c_{5} +13426c_{1}c_{2}^2c_{6} +7212c_{1}c_{2}c_{3}c_{5} +2803c_{1}c_{2}c_{4}^2 +124c_{1}c_{3}^2c_{4} -245c_{2}^3c_{5} +432c_{2}^2c_{3}c_{4} +13c_{2}c_{3}^3 +112704c_{1}^2c_{9} +92774c_{1}c_{2}c_{8} +18623c_{1}c_{3}c_{7} +11275c_{1}c_{4}c_{6} +4039c_{1}c_{5}^2 +10046c_{2}^2c_{7} +5913c_{2}c_{3}c_{6} +3815c_{2}c_{4}c_{5} +158c_{3}^2c_{5} +345c_{3}c_{4}^2 +190350c_{1}c_{10} +65907c_{2}c_{9} +16679c_{3}c_{8} +9471c_{4}c_{7} +5359c_{5}c_{6} +118044c_{11}) +T^12(56c_{1}^8c_{4} +84c_{1}^7c_{2}c_{3} +28c_{1}^6c_{2}^3 +868c_{1}^7c_{5} +602c_{1}^6c_{2}c_{4} +224c_{1}^6c_{3}^2 -126c_{1}^5c_{2}^2c_{3} -140c_{1}^4c_{2}^4 +4586c_{1}^6c_{6} -1279c_{1}^5c_{2}c_{5} +1456c_{1}^5c_{3}c_{4} -3650c_{1}^4c_{2}^2c_{4} -625c_{1}^4c_{2}c_{3}^2 -920c_{1}^3c_{2}^3c_{3} +150c_{1}^2c_{2}^5 +1018c_{1}^5c_{7} -31895c_{1}^4c_{2}c_{6} -795c_{1}^4c_{3}c_{5} -820c_{1}^4c_{4}^2 -17483c_{1}^3c_{2}^2c_{5} -9412c_{1}^3c_{2}c_{3}c_{4} +95c_{1}^3c_{3}^3 +270c_{1}^2c_{2}^3c_{4} -1210c_{1}^2c_{2}^2c_{3}^2 +870c_{1}c_{2}^4c_{3} -20c_{2}^6 -100582c_{1}^4c_{8} -164447c_{1}^3c_{2}c_{7} -27357c_{1}^3c_{3}c_{6} -18389c_{1}^3c_{4}c_{5} -38658c_{1}^2c_{2}^2c_{6} -27288c_{1}^2c_{2}c_{3}c_{5} -10090c_{1}^2c_{2}c_{4}^2 -1225c_{1}^2c_{3}^2c_{4} +5832c_{1}c_{2}^3c_{5} -444c_{1}c_{2}^2c_{3}c_{4} -328c_{1}c_{2}c_{3}^3 +960c_{2}^4c_{4} +470c_{2}^3c_{3}^2 -522158c_{1}^3c_{9} -426695c_{1}^2c_{2}c_{8} -105746c_{1}^2c_{3}c_{7} -60574c_{1}^2c_{4}c_{6} -20881c_{1}^2c_{5}^2 -40625c_{1}c_{2}^2c_{7} -41055c_{1}c_{2}c_{3}c_{6} -24413c_{1}c_{2}c_{4}c_{5} -2565c_{1}c_{3}^2c_{5} -3450c_{1}c_{3}c_{4}^2 +7972c_{2}^3c_{6} +2088c_{2}^2c_{3}c_{5} +524c_{2}^2c_{4}^2 -664c_{2}c_{3}^2c_{4} +52c_{3}^4 -1277020c_{1}^2c_{10} -586054c_{1}c_{2}c_{9} -183089c_{1}c_{3}c_{8} -100286c_{1}c_{4}c_{7} -53995c_{1}c_{5}c_{6} -16722c_{2}^2c_{8} -26190c_{2}c_{3}c_{7} -15531c_{2}c_{4}c_{6} -3880c_{2}c_{5}^2 -2425c_{3}^2c_{6} -4271c_{3}c_{4}c_{5} -829c_{4}^3 -1601168c_{1}c_{11} -343244c_{2}c_{10} -125633c_{3}c_{9} -68112c_{4}c_{8} -31749c_{5}c_{7} -12270c_{6}^2 -826368c_{12})

SSM-Thom polynomial in Schur functions T^6(36s_{6} +5s_{3,3} +19s_{4,2} +30s_{5,1} +s_{2,2,2} +5s_{3,2,1} +6s_{4,1,1}) +T^7( -432s_{7} -144s_{4,3} -318s_{5,2} -468s_{6,1} -27s_{3,2,2} -45s_{3,3,1} -135s_{4,2,1} -162s_{5,1,1} -3s_{2,2,2,1} -15s_{3,2,1,1} -18s_{4,1,1,1}) +T^8(6s_{2,2,2,1,1} +2s_{2,2,2,2} +30s_{3,2,1,1,1} +78s_{3,2,2,1} +120s_{3,3,1,1} +151s_{3,3,2} +36s_{4,1,1,1,1} +352s_{4,2,1,1} +334s_{4,2,2} +773s_{4,3,1} +409s_{4,4} +408s_{5,1,1,1} +1540s_{5,2,1} +1383s_{5,3} +1776s_{6,1,1} +2542s_{6,2} +3468s_{7,1} +2520s_{8}) +T^9( -5760s_{9} -1516s_{4,4,1} -780s_{5,1,1,1,1} -3492s_{5,2,1,1} -1988s_{5,2,2} -5000s_{5,3,1} -2362s_{5,4} -3960s_{6,1,1,1} -8704s_{6,2,1} -5563s_{6,3} -9840s_{7,1,1} -9472s_{7,2} -12000s_{8,1} -50s_{3,2,1,1,1,1} -150s_{3,2,2,1,1} -32s_{3,2,2,2} -230s_{3,3,1,1,1} -365s_{3,3,2,1} -151s_{3,3,3} -60s_{4,1,1,1,1,1} -674s_{4,2,1,1,1} -820s_{4,2,2,1} -1749s_{4,3,1,1} -1288s_{4,3,2} -10s_{2,2,2,1,1,1} -4s_{2,2,2,2,1}) +T^10(10735s_{6,2,1,1} -5138s_{6,2,2} -9347s_{6,3,1} -15050s_{6,4} +14790s_{7,1,1,1} -8625s_{7,2,1} -28330s_{7,3} -1098s_{8,1,1} -40907s_{8,2} -48390s_{9,1} -49428s_{10} +274s_{4,3,2,1} -1284s_{4,3,3} +1339s_{4,4,1,1} -1960s_{4,4,2} +1290s_{5,1,1,1,1,1} +5865s_{5,2,1,1,1} +1140s_{5,2,2,1} +5072s_{5,3,1,1} -5392s_{5,3,2} -5117s_{5,4,1} -4673s_{5,5} +6930s_{6,1,1,1,1} +375s_{3,3,1,1,1,1} +529s_{3,3,2,1,1} -188s_{3,3,2,2} -61s_{3,3,3,1} +90s_{4,1,1,1,1,1,1} +1105s_{4,2,1,1,1,1} +1230s_{4,2,2,1,1} -265s_{4,2,2,2} +2853s_{4,3,1,1,1} +15s_{2,2,2,1,1,1,1} +5s_{2,2,2,2,1,1} +75s_{3,2,1,1,1,1,1} +240s_{3,2,2,1,1,1} +15s_{3,2,2,2,1}) +T^11(142890s_{8,1,1,1} +789805s_{8,2,1} +747315s_{8,3} +664806s_{9,1,1} +1076954s_{9,2} +1193820s_{10,1} +790416s_{11} +5131s_{6,2,1,1,1} +100295s_{6,2,2,1} +162730s_{6,3,1,1} +258133s_{6,3,2} +326467s_{6,4,1} +180139s_{6,5} -9150s_{7,1,1,1,1} +206675s_{7,2,1,1} +275621s_{7,2,2} +595101s_{7,3,1} +420404s_{7,4} -1950s_{5,1,1,1,1,1,1} -8215s_{5,2,1,1,1,1} +9915s_{5,2,2,1,1} +16840s_{5,2,2,2} +8303s_{5,3,1,1,1} +91696s_{5,3,2,1} +60868s_{5,3,3} +80185s_{5,4,1,1} +132479s_{5,4,2} +100301s_{5,5,1} -10506s_{6,1,1,1,1,1} -1649s_{4,2,1,1,1,1,1} -1271s_{4,2,2,1,1,1} +2801s_{4,2,2,2,1} -3785s_{4,3,1,1,1,1} +8538s_{4,3,2,1,1} +14099s_{4,3,2,2} +20478s_{4,3,3,1} +3474s_{4,4,1,1,1} +32891s_{4,4,2,1} +26246s_{4,4,3} -345s_{3,2,2,1,1,1,1} +115s_{3,2,2,2,1,1} +135s_{3,2,2,2,2} -555s_{3,3,1,1,1,1,1} -500s_{3,3,2,1,1,1} +1579s_{3,3,2,2,1} +1425s_{3,3,3,1,1} +2702s_{3,3,3,2} -126s_{4,1,1,1,1,1,1,1} -21s_{2,2,2,1,1,1,1,1} -4s_{2,2,2,2,1,1,1} +5s_{2,2,2,2,2,1} -105s_{3,2,1,1,1,1,1,1}) +T^12( -8243540s_{8,3,1} -4971076s_{8,4} -3304446s_{9,1,1,1} -10716810s_{9,2,1} -8408622s_{9,3} -8837496s_{10,1,1} -11730424s_{10,2} -12250776s_{11,1} -6956640s_{12} -718276s_{6,6} -21678s_{7,1,1,1,1,1} -874077s_{7,2,1,1,1} -1973216s_{7,2,2,1} -3364610s_{7,3,1,1} -3821300s_{7,3,2} -4860926s_{7,4,1} -2443378s_{7,5} -620946s_{8,1,1,1,1} -4321859s_{8,2,1,1} -3937707s_{8,2,2} -720389s_{5,5,2} +14418s_{6,1,1,1,1,1,1} -59915s_{6,2,1,1,1,1} -435404s_{6,2,2,1,1} -338439s_{6,2,2,2} -674193s_{6,3,1,1,1} -1892704s_{6,3,2,1} -969893s_{6,3,3} -1875696s_{6,4,1,1} -2284012s_{6,4,2} -2122410s_{6,5,1} -41908s_{5,2,2,1,1,1} -88677s_{5,2,2,2,1} -49947s_{5,3,1,1,1,1} -391175s_{5,3,2,1,1} -324166s_{5,3,2,2} -477727s_{5,3,3,1} -329383s_{5,4,1,1,1} -985670s_{5,4,2,1} -630932s_{5,4,3} -578751s_{5,5,1,1} -72234s_{4,3,2,2,1} -86320s_{4,3,3,1,1} -88680s_{4,3,3,2} -17902s_{4,4,1,1,1,1} -139929s_{4,4,2,1,1} -118945s_{4,4,2,2} -210203s_{4,4,3,1} -69999s_{4,4,4} +2772s_{5,1,1,1,1,1,1,1} +9963s_{5,2,1,1,1,1,1} -13338s_{3,3,3,2,1} -5772s_{3,3,3,3} +168s_{4,1,1,1,1,1,1,1,1} +2310s_{4,2,1,1,1,1,1,1} +585s_{4,2,2,1,1,1,1} -9885s_{4,2,2,2,1,1} -5978s_{4,2,2,2,2} +4164s_{4,3,1,1,1,1,1} -33026s_{4,3,2,1,1,1} +462s_{3,2,2,1,1,1,1,1} -432s_{3,2,2,2,1,1,1} -620s_{3,2,2,2,2,1} +770s_{3,3,1,1,1,1,1,1} +105s_{3,3,2,1,1,1,1} -5335s_{3,3,2,2,1,1} -3200s_{3,3,2,2,2} -5045s_{3,3,3,1,1,1} +28s_{2,2,2,1,1,1,1,1,1} -18s_{2,2,2,2,2,1,1} -10s_{2,2,2,2,2,2} +140s_{3,2,1,1,1,1,1,1,1})
SSM-Thom polynomial in Schur-tilde functions ( -331534S_{7,3,1,1} -402616S_{7,3,2} -594040S_{7,4,1} -215350S_{7,5} -1275028S_{8,3,1} -565352S_{8,4} -1233968S_{9,3} +1581S_{5,2,2,2,1} +150S_{6,1,1,1,1,1,1} -1319S_{6,2,1,1,1,1} -2109S_{6,2,2,1,1} +254S_{6,2,2,2} -2096639S_{10,2} -2340654S_{11,1} -1062576S_{12} +6S_{4,1,1,1,1,1,1,1,1} -47S_{4,2,1,1,1,1,1,1} +124S_{4,2,2,1,1,1,1} -36S_{5,1,1,1,1,1,1,1} +281S_{5,2,1,1,1,1,1} -860S_{5,2,2,1,1,1} +5S_{3,2,1,1,1,1,1,1,1} -540S_{7,1,1,1,1,1} -20827S_{7,2,1,1,1} -159886S_{7,2,2,1} -22356S_{8,1,1,1,1} -505463S_{8,2,1,1} -428140S_{8,2,2} -407958S_{9,1,1,1} -1986631S_{9,2,1} -1655604S_{10,1,1} -137S_{4,2,2,2,1,1} +55S_{4,2,2,2,2} +150S_{4,3,1,1,1,1,1} -638S_{4,3,2,1,1,1} +1118S_{4,3,2,2,1} +9S_{4,3,3,1,1} -74S_{4,3,3,2} -201S_{4,4,1,1,1,1} -309S_{4,4,2,1,1} +32S_{4,4,2,2} -5740S_{4,4,3,1} -860S_{4,4,4} -924S_{5,3,1,1,1,1} -257S_{5,3,2,1,1} -332S_{5,3,2,2} -14744S_{5,3,3,1} -4902S_{5,4,1,1,1} -57763S_{5,4,2,1} -27108S_{5,4,3} -34421S_{5,5,1,1} -40679S_{5,5,2} -11334S_{6,3,1,1,1} -139756S_{6,3,2,1} -42447S_{6,3,3} -150708S_{6,4,1,1} -190396S_{6,4,2} -203156S_{6,5,1} -41561S_{6,6} +S_{2,2,2,1,1,1,1,1,1} -13S_{3,2,2,1,1,1,1,1} +9S_{3,2,2,2,1,1,1} -15S_{3,3,1,1,1,1,1,1} +53S_{3,3,2,1,1,1,1} -59S_{3,3,2,2,1,1} +21S_{3,3,2,2,2} -36S_{3,3,3,1,1,1} +105S_{3,3,3,2,1} -10S_{3,3,3,3})T^12 +(322S_{4,3,2,2} +1482S_{4,3,3,1} -25S_{4,4,1,1,1} +4118S_{4,4,2,1} +2338S_{4,4,3} -347S_{5,3,1,1,1} +15529S_{5,3,2,1} +5974S_{5,3,3} +14300S_{5,4,1,1} +23778S_{5,4,2} +18377S_{5,5,1} +219780S_{11} +S_{2,2,2,1,1,1,1,1} -13S_{3,2,2,1,1,1,1} +9S_{3,2,2,2,1,1} -15S_{3,3,1,1,1,1,1} +53S_{3,3,2,1,1,1} -59S_{3,3,2,2,1} -22S_{3,3,3,1,1} +32S_{3,3,3,2} -137S_{4,2,2,2,1} +150S_{4,3,1,1,1,1} -478S_{4,3,2,1,1} +35502S_{6,3,1,1} +57662S_{6,3,2} +82466S_{6,4,1} +32976S_{6,5} +182680S_{7,3,1} +96588S_{7,4} +211104S_{8,3} +124S_{4,2,2,1,1,1} -36S_{5,1,1,1,1,1,1} +281S_{5,2,1,1,1,1} -575S_{5,2,2,1,1} +331S_{5,2,2,2} +150S_{6,1,1,1,1,1} -316S_{6,2,1,1,1} +19354S_{6,2,2,1} +390S_{7,1,1,1,1} +54185S_{7,2,1,1} +64182S_{7,2,2} +41832S_{8,1,1,1} +281377S_{8,2,1} +237702S_{9,1,1} +355211S_{9,2} +415152S_{10,1} +5S_{3,2,1,1,1,1,1,1} +6S_{4,1,1,1,1,1,1,1} -47S_{4,2,1,1,1,1,1})T^11 +(5S_{3,2,1,1,1,1,1} +6S_{4,1,1,1,1,1,1} -47S_{4,2,1,1,1,1} +124S_{4,2,2,1,1} -13S_{3,2,2,1,1,1} +9S_{3,2,2,2,1} -15S_{3,3,1,1,1,1} +53S_{3,3,2,1,1} -38S_{3,3,2,2} -82S_{3,3,3,1} -82S_{4,2,2,2} +150S_{4,3,1,1,1} -1354S_{4,3,2,1} -592S_{4,3,3} -821S_{4,4,1,1} -1796S_{4,4,2} -3082S_{5,3,1,1} -6667S_{5,3,2} -8472S_{5,4,1} -3023S_{5,5} -20580S_{6,3,1} -13288S_{6,4} -29424S_{7,3} -37908S_{10} +S_{2,2,2,1,1,1,1} -36S_{5,1,1,1,1,1} +281S_{5,2,1,1,1} -2035S_{5,2,2,1} +150S_{6,1,1,1,1} -4877S_{6,2,1,1} -8328S_{6,2,2} -3318S_{7,1,1,1} -31447S_{7,2,1} -26028S_{8,1,1} -48803S_{8,2} -58362S_{9,1})T^10 +(S_{2,2,2,1,1,1} -13S_{3,2,2,1,1} +9S_{3,2,2,2} -15S_{3,3,1,1,1} +74S_{3,3,2,1} +30S_{3,3,3} +230S_{4,3,1,1} +514S_{4,3,2} +466S_{4,4,1} +1453S_{5,3,1} +1205S_{5,4} +2696S_{6,3} +5S_{3,2,1,1,1,1} +6S_{4,1,1,1,1,1} -47S_{4,2,1,1,1} +179S_{4,2,2,1} -36S_{5,1,1,1,1} +426S_{5,2,1,1} +826S_{5,2,2} +252S_{6,1,1,1} +2137S_{6,2,1} +1542S_{7,1,1} +4199S_{7,2} +4644S_{8,1} +4392S_{9})T^9 +(S_{2,2,2,1,1} +5S_{3,2,1,1,1} -13S_{3,2,2,1} -15S_{3,3,1,1} -14S_{3,3,2} +6S_{4,1,1,1,1} -47S_{4,2,1,1} -39S_{4,2,2} +2S_{4,3,1} -37S_{4,4} -36S_{5,1,1,1} +65S_{5,2,1} +12S_{5,3} +108S_{6,1,1} +169S_{6,2} +426S_{7,1} +72S_{8})T^8 +(S_{2,2,2,1} +5S_{3,2,1,1} -4S_{3,2,2} -10S_{3,3,1} +6S_{4,1,1,1} -40S_{4,2,1} -48S_{4,3} -42S_{5,1,1} -133S_{5,2} -216S_{6,1} -180S_{7})T^7 +(S_{2,2,2} +5S_{3,2,1} +5S_{3,3} +6S_{4,1,1} +19S_{4,2} +30S_{5,1} +36S_{6})T^6
Local algebra C[x,y]/(x^2,xy,y^2)
Thom-Boardman class \Sigma^{2,0}
Codimension 6
SSM-Thom polynomial in Chern classes T^6( -c_{2}c_{4} +c_{3}^2) +T^7(3c_{1}c_{2}c_{4} -3c_{1}c_{3}^2 +3c_{2}c_{5} -3c_{3}c_{4}) +T^8( -6c_{1}^2c_{2}c_{4} +6c_{1}^2c_{3}^2 -12c_{1}c_{2}c_{5} +12c_{1}c_{3}c_{4} +2c_{2}^2c_{4} -2c_{2}c_{3}^2 -8c_{2}c_{6} +5c_{3}c_{5} +3c_{4}^2) +T^9(10c_{1}^3c_{2}c_{4} -10c_{1}^3c_{3}^2 +30c_{1}^2c_{2}c_{5} -30c_{1}^2c_{3}c_{4} -8c_{1}c_{2}^2c_{4} +8c_{1}c_{2}c_{3}^2 +38c_{1}c_{2}c_{6} -17c_{1}c_{3}c_{5} -21c_{1}c_{4}^2 -8c_{2}^2c_{5} +10c_{2}c_{3}c_{4} -2c_{3}^3 +18c_{2}c_{7} +2c_{3}c_{6} -20c_{4}c_{5}) +T^10( -15c_{1}^4c_{2}c_{4} +15c_{1}^4c_{3}^2 -60c_{1}^3c_{2}c_{5} +60c_{1}^3c_{3}c_{4} +20c_{1}^2c_{2}^2c_{4} -20c_{1}^2c_{2}c_{3}^2 -111c_{1}^2c_{2}c_{6} +42c_{1}^2c_{3}c_{5} +69c_{1}^2c_{4}^2 +41c_{1}c_{2}^2c_{5} -50c_{1}c_{2}c_{3}c_{4} +9c_{1}c_{3}^3 -2c_{2}^3c_{4} +2c_{2}^2c_{3}^2 -102c_{1}c_{2}c_{7} -23c_{1}c_{3}c_{6} +125c_{1}c_{4}c_{5} +29c_{2}^2c_{6} -33c_{2}c_{3}c_{5} -5c_{2}c_{4}^2 +9c_{3}^2c_{4} -39c_{2}c_{8} -28c_{3}c_{7} +27c_{4}c_{6} +40c_{5}^2) +T^11(21c_{1}^5c_{2}c_{4} -21c_{1}^5c_{3}^2 +105c_{1}^4c_{2}c_{5} -105c_{1}^4c_{3}c_{4} -40c_{1}^3c_{2}^2c_{4} +40c_{1}^3c_{2}c_{3}^2 +255c_{1}^3c_{2}c_{6} -90c_{1}^3c_{3}c_{5} -165c_{1}^3c_{4}^2 -125c_{1}^2c_{2}^2c_{5} +150c_{1}^2c_{2}c_{3}c_{4} -25c_{1}^2c_{3}^3 +10c_{1}c_{2}^3c_{4} -10c_{1}c_{2}^2c_{3}^2 +345c_{1}^2c_{2}c_{7} +85c_{1}^2c_{3}c_{6} -430c_{1}^2c_{4}c_{5} -174c_{1}c_{2}^2c_{6} +164c_{1}c_{2}c_{3}c_{5} +62c_{1}c_{2}c_{4}^2 -52c_{1}c_{3}^2c_{4} +8c_{2}^3c_{5} -14c_{2}^2c_{3}c_{4} +6c_{2}c_{3}^3 +255c_{1}c_{2}c_{8} +205c_{1}c_{3}c_{7} -225c_{1}c_{4}c_{6} -235c_{1}c_{5}^2 -93c_{2}^2c_{7} +66c_{2}c_{3}c_{6} +64c_{2}c_{4}c_{5} -24c_{3}^2c_{5} -13c_{3}c_{4}^2 +81c_{2}c_{9} +115c_{3}c_{8} -41c_{4}c_{7} -155c_{5}c_{6}) +T^12( -28c_{1}^6c_{2}c_{4} +28c_{1}^6c_{3}^2 -168c_{1}^5c_{2}c_{5} +168c_{1}^5c_{3}c_{4} +70c_{1}^4c_{2}^2c_{4} -70c_{1}^4c_{2}c_{3}^2 -505c_{1}^4c_{2}c_{6} +175c_{1}^4c_{3}c_{5} +330c_{1}^4c_{4}^2 +295c_{1}^3c_{2}^2c_{5} -350c_{1}^3c_{2}c_{3}c_{4} +55c_{1}^3c_{3}^3 -30c_{1}^2c_{2}^3c_{4} +30c_{1}^2c_{2}^2c_{3}^2 -900c_{1}^3c_{2}c_{7} -210c_{1}^3c_{3}c_{6} +1110c_{1}^3c_{4}c_{5} +608c_{1}^2c_{2}^2c_{6} -509c_{1}^2c_{2}c_{3}c_{5} -273c_{1}^2c_{2}c_{4}^2 +174c_{1}^2c_{3}^2c_{4} -55c_{1}c_{2}^3c_{5} +90c_{1}c_{2}^2c_{3}c_{4} -35c_{1}c_{2}c_{3}^3 -979c_{1}^2c_{2}c_{8} -759c_{1}^2c_{3}c_{7} +891c_{1}^2c_{4}c_{6} +847c_{1}^2c_{5}^2 +640c_{1}c_{2}^2c_{7} -333c_{1}c_{2}c_{3}c_{6} -547c_{1}c_{2}c_{4}c_{5} +126c_{1}c_{3}^2c_{5} +114c_{1}c_{3}c_{4}^2 -39c_{2}^3c_{6} +89c_{2}^2c_{3}c_{5} -13c_{2}^2c_{4}^2 -43c_{2}c_{3}^2c_{4} +6c_{3}^4 -606c_{1}c_{2}c_{9} -827c_{1}c_{3}c_{8} +333c_{1}c_{4}c_{7} +1100c_{1}c_{5}c_{6} +283c_{2}^2c_{8} -93c_{2}c_{3}c_{7} -111c_{2}c_{4}c_{6} -204c_{2}c_{5}^2 +3c_{3}^2c_{6} +126c_{3}c_{4}c_{5} -4c_{4}^3 -166c_{2}c_{10} -341c_{3}c_{9} +26c_{4}c_{8} +291c_{5}c_{7} +190c_{6}^2)
SSM-Thom polynomial in Schur functions T^6s_{3,3} +T^7( -6s_{4,3} -3s_{3,3,1}) +T^8(6s_{3,3,1,1} +4s_{3,3,2} +22s_{4,3,1} +21s_{4,4} +24s_{5,3}) +T^9( -10s_{3,3,1,1,1} -12s_{3,3,2,1} -4s_{3,3,3} -52s_{4,3,1,1} -38s_{4,3,2} -95s_{4,4,1} -106s_{5,3,1} -143s_{5,4} -82s_{6,3}) +T^10(15s_{3,3,1,1,1,1} +25s_{3,3,2,1,1} +12s_{3,3,2,2} +16s_{3,3,3,1} +100s_{4,3,1,1,1} +132s_{4,3,2,1} +50s_{4,3,3} +260s_{4,4,1,1} +212s_{4,4,2} +291s_{5,3,1,1} +223s_{5,3,2} +750s_{5,4,1} +407s_{5,5} +424s_{6,3,1} +674s_{6,4} +257s_{7,3}) +T^11( -756s_{8,3} -1320s_{6,3,1,1} -1026s_{6,3,2} -3948s_{6,4,1} -2862s_{6,5} -1509s_{7,3,1} -2637s_{7,4} -635s_{5,3,1,1,1} -872s_{5,3,2,1} -345s_{5,3,3} -2301s_{5,4,1,1} -1905s_{5,4,2} -2385s_{5,5,1} -170s_{4,3,1,1,1,1} -310s_{4,3,2,1,1} -152s_{4,3,2,2} -218s_{4,3,3,1} -560s_{4,4,1,1,1} -820s_{4,4,2,1} -350s_{4,4,3} -21s_{3,3,1,1,1,1,1} -44s_{3,3,2,1,1,1} -35s_{3,3,2,2,1} -41s_{3,3,3,1,1} -24s_{3,3,3,2}) +T^12(4918s_{8,3,1} +9106s_{8,4} +2108s_{9,3} +6788s_{6,6} +5215s_{7,3,1,1} +4029s_{7,3,2} +16830s_{7,4,1} +13620s_{7,5} +6691s_{5,5,2} +3206s_{6,3,1,1,1} +4420s_{6,3,2,1} +1748s_{6,3,3} +13278s_{6,4,1,1} +10904s_{6,4,2} +18174s_{6,5,1} +1205s_{5,3,1,1,1,1} +2261s_{5,3,2,1,1} +1114s_{5,3,2,2} +1623s_{5,3,3,1} +5458s_{5,4,1,1,1} +8040s_{5,4,2,1} +3440s_{5,4,3} +7943s_{5,5,1,1} +490s_{4,3,2,2,1} +600s_{4,3,3,1,1} +354s_{4,3,3,2} +1045s_{4,4,1,1,1,1} +2091s_{4,4,2,1,1} +1052s_{4,4,2,2} +1608s_{4,4,3,1} +442s_{4,4,4} +83s_{3,3,3,2,1} +16s_{3,3,3,3} +266s_{4,3,1,1,1,1,1} +604s_{4,3,2,1,1,1} +28s_{3,3,1,1,1,1,1,1} +70s_{3,3,2,1,1,1,1} +72s_{3,3,2,2,1,1} +30s_{3,3,2,2,2} +85s_{3,3,3,1,1,1})
SSM-Thom polynomial in Schur-tilde functions (20S_{9,3} +10S_{5,4,1,1,1} +20S_{5,4,2,1} +4S_{5,4,3} +122S_{5,5,1,1} +76S_{5,5,2} +15S_{6,3,1,1,1} +6S_{6,3,2,1} +288S_{6,4,1,1} +114S_{6,4,2} +684S_{6,5,1} +152S_{6,6} +106S_{7,3,1,1} +14S_{7,3,2} +610S_{7,4,1} +412S_{7,5} +94S_{8,3,1} +224S_{8,4})T^12 +( -50S_{5,4,1,1} -36S_{5,4,2} -118S_{5,5,1} -36S_{6,3,1,1} -6S_{6,3,2} -262S_{6,4,1} -164S_{6,5} -58S_{7,3,1} -140S_{7,4} -16S_{8,3})T^11 +(3S_{4,4,1,1} +6S_{4,4,2} +7S_{5,3,1,1} +2S_{5,3,2} +79S_{5,4,1} +33S_{5,5} +30S_{6,3,1} +72S_{6,4} +12S_{7,3})T^10 +( -12S_{4,4,1} -12S_{5,3,1} -26S_{5,4} -8S_{6,3})T^9 +(3S_{4,3,1} +4S_{4,4} +4S_{5,3})T^8 -2T^7S_{4,3} +T^6S_{3,3}

codimension 7

Local algebra C[x,y]/(xy,x^2+y^2)
Thom-Boardman class \Sigma^{2,0}
Codimension 7
SSM-Thom polynomial in Chern classes T^7( -c_{1}c_{2}c_{4} +c_{1}c_{3}^2 -2c_{2}c_{5} +2c_{3}c_{4}) +T^8(3c_{1}^2c_{2}c_{4} -3c_{1}^2c_{3}^2 +11c_{1}c_{2}c_{5} -11c_{1}c_{3}c_{4} +2c_{2}^2c_{4} -2c_{2}c_{3}^2 +10c_{2}c_{6} -6c_{3}c_{5} -4c_{4}^2) +T^9( -6c_{1}^3c_{2}c_{4} +6c_{1}^3c_{3}^2 -30c_{1}^2c_{2}c_{5} +30c_{1}^2c_{3}c_{4} -4c_{1}c_{2}^2c_{4} +4c_{1}c_{2}c_{3}^2 -54c_{1}c_{2}c_{6} +35c_{1}c_{3}c_{5} +19c_{1}c_{4}^2 -2c_{2}^2c_{5} -2c_{2}c_{3}c_{4} +4c_{3}^3 -36c_{2}c_{7} +20c_{3}c_{6} +16c_{4}c_{5}) +T^10(10c_{1}^4c_{2}c_{4} -10c_{1}^4c_{3}^2 +62c_{1}^3c_{2}c_{5} -62c_{1}^3c_{3}c_{4} +4c_{1}^2c_{2}^2c_{4} -4c_{1}^2c_{2}c_{3}^2 +158c_{1}^2c_{2}c_{6} -101c_{1}^2c_{3}c_{5} -57c_{1}^2c_{4}^2 -12c_{1}c_{2}^2c_{5} +30c_{1}c_{2}c_{3}c_{4} -18c_{1}c_{3}^3 -8c_{2}^3c_{4} +8c_{2}^2c_{3}^2 +202c_{1}c_{2}c_{7} -110c_{1}c_{3}c_{6} -92c_{1}c_{4}c_{5} -16c_{2}^2c_{6} +18c_{2}c_{3}c_{5} +22c_{2}c_{4}^2 -24c_{3}^2c_{4} +108c_{2}c_{8} -64c_{3}c_{7} -18c_{4}c_{6} -26c_{5}^2) +T^11( -15c_{1}^5c_{2}c_{4} +15c_{1}^5c_{3}^2 -110c_{1}^4c_{2}c_{5} +110c_{1}^4c_{3}c_{4} -355c_{1}^3c_{2}c_{6} +222c_{1}^3c_{3}c_{5} +133c_{1}^3c_{4}^2 +69c_{1}^2c_{2}^2c_{5} -118c_{1}^2c_{2}c_{3}c_{4} +49c_{1}^2c_{3}^3 +30c_{1}c_{2}^3c_{4} -30c_{1}c_{2}^2c_{3}^2 -640c_{1}^2c_{2}c_{7} +325c_{1}^2c_{3}c_{6} +315c_{1}^2c_{4}c_{5} +171c_{1}c_{2}^2c_{6} -177c_{1}c_{2}c_{3}c_{5} -117c_{1}c_{2}c_{4}^2 +123c_{1}c_{3}^2c_{4} +32c_{2}^3c_{5} -20c_{2}^2c_{3}c_{4} -12c_{2}c_{3}^3 -647c_{1}c_{2}c_{8} +362c_{1}c_{3}c_{7} +113c_{1}c_{4}c_{6} +172c_{1}c_{5}^2 +126c_{2}^2c_{7} -108c_{2}c_{3}c_{6} -116c_{2}c_{4}c_{5} +72c_{3}^2c_{5} +26c_{3}c_{4}^2 -294c_{2}c_{9} +214c_{3}c_{8} -38c_{4}c_{7} +118c_{5}c_{6}) +T^12(21c_{1}^6c_{2}c_{4} -21c_{1}^6c_{3}^2 +177c_{1}^5c_{2}c_{5} -177c_{1}^5c_{3}c_{4} -10c_{1}^4c_{2}^2c_{4} +10c_{1}^4c_{2}c_{3}^2 +685c_{1}^4c_{2}c_{6} -420c_{1}^4c_{3}c_{5} -265c_{1}^4c_{4}^2 -205c_{1}^3c_{2}^2c_{5} +310c_{1}^3c_{2}c_{3}c_{4} -105c_{1}^3c_{3}^3 -70c_{1}^2c_{2}^3c_{4} +70c_{1}^2c_{2}^2c_{3}^2 +1565c_{1}^3c_{2}c_{7} -743c_{1}^3c_{3}c_{6} -822c_{1}^3c_{4}c_{5} -692c_{1}^2c_{2}^2c_{6} +680c_{1}^2c_{2}c_{3}c_{5} +388c_{1}^2c_{2}c_{4}^2 -376c_{1}^2c_{3}^2c_{4} -110c_{1}c_{2}^3c_{5} +38c_{1}c_{2}^2c_{3}c_{4} +72c_{1}c_{2}c_{3}^3 +20c_{2}^4c_{4} -20c_{2}^3c_{3}^2 +2225c_{1}^2c_{2}c_{8} -1111c_{1}^2c_{3}c_{7} -503c_{1}^2c_{4}c_{6} -611c_{1}^2c_{5}^2 -1019c_{1}c_{2}^2c_{7} +858c_{1}c_{2}c_{3}c_{6} +728c_{1}c_{2}c_{4}c_{5} -402c_{1}c_{3}^2c_{5} -165c_{1}c_{3}c_{4}^2 -74c_{2}^3c_{6} +22c_{2}^2c_{3}c_{5} -54c_{2}^2c_{4}^2 +126c_{2}c_{3}^2c_{4} -20c_{3}^4 +1885c_{1}c_{2}c_{9} -1235c_{1}c_{3}c_{8} +143c_{1}c_{4}c_{7} -793c_{1}c_{5}c_{6} -576c_{2}^2c_{8} +468c_{2}c_{3}c_{7} +300c_{2}c_{4}c_{6} +158c_{2}c_{5}^2 -204c_{3}^2c_{6} -182c_{3}c_{4}c_{5} +36c_{4}^3 +750c_{2}c_{10} -682c_{3}c_{9} +304c_{4}c_{8} -290c_{5}c_{7} -82c_{6}^2)
SSM-Thom polynomial in Schur functions T^7(3s_{4,3} +s_{3,3,1}) +T^8( -3s_{3,3,1,1} -5s_{3,3,2} -19s_{4,3,1} -18s_{4,4} -26s_{5,3}) +T^9(6s_{3,3,1,1,1} +16s_{3,3,2,1} +14s_{3,3,3} +52s_{4,3,1,1} +62s_{4,3,2} +103s_{4,4,1} +146s_{5,3,1} +167s_{5,4} +136s_{6,3}) +T^10( -10s_{3,3,1,1,1,1} -34s_{3,3,2,1,1} -16s_{3,3,2,2} -48s_{3,3,3,1} -106s_{4,3,1,1,1} -210s_{4,3,2,1} -146s_{4,3,3} -291s_{4,4,1,1} -303s_{4,4,2} -414s_{5,3,1,1} -416s_{5,3,2} -942s_{5,4,1} -445s_{5,5} -760s_{6,3,1} -907s_{6,4} -550s_{7,3}) +T^11(1891s_{8,3} +2273s_{6,3,1,1} +2029s_{6,3,2} +5184s_{6,4,1} +3027s_{6,5} +3145s_{7,3,1} +3729s_{7,4} +895s_{5,3,1,1,1} +1494s_{5,3,2,1} +857s_{5,3,3} +2791s_{5,4,1,1} +2581s_{5,4,2} +2549s_{5,5,1} +185s_{4,3,1,1,1,1} +475s_{4,3,2,1,1} +216s_{4,3,2,2} +530s_{4,3,3,1} +624s_{4,4,1,1,1} +1078s_{4,4,2,1} +652s_{4,4,3} +15s_{3,3,1,1,1,1,1} +60s_{3,3,2,1,1,1} +45s_{3,3,2,2,1} +109s_{3,3,3,1,1} +52s_{3,3,3,2}) +T^12( -11167s_{8,3,1} -12827s_{8,4} -5812s_{9,3} -5642s_{6,6} -9949s_{7,3,1,1} -8081s_{7,3,2} -21804s_{7,4,1} -13281s_{7,5} -6714s_{5,5,2} -5237s_{6,3,1,1,1} -7702s_{6,3,2,1} -3725s_{6,3,3} -16147s_{6,4,1,1} -13533s_{6,4,2} -17649s_{6,5,1} -1665s_{5,3,1,1,1,1} -3595s_{5,3,2,1,1} -1578s_{5,3,2,2} -3267s_{5,3,3,1} -6346s_{5,4,1,1,1} -9654s_{5,4,2,1} -4934s_{5,4,3} -7896s_{5,5,1,1} -643s_{4,3,2,2,1} -1275s_{4,3,3,1,1} -582s_{4,3,3,2} -1150s_{4,4,1,1,1,1} -2566s_{4,4,2,1,1} -1132s_{4,4,2,2} -2452s_{4,4,3,1} -782s_{4,4,4} -154s_{3,3,3,2,1} -8s_{3,3,3,3} -293s_{4,3,1,1,1,1,1} -892s_{4,3,2,1,1,1} -21s_{3,3,1,1,1,1,1,1} -95s_{3,3,2,1,1,1,1} -89s_{3,3,2,2,1,1} -35s_{3,3,2,2,2} -205s_{3,3,3,1,1,1})
SSM-Thom polynomial in Schur-tilde functions ( -133S_{7,3,1,1} +126S_{7,3,2} -71S_{7,4,1} +37S_{7,5} -187S_{8,3,1} +5S_{8,4} -67S_{9,3} -3S_{4,3,1,1,1,1,1} +8S_{4,3,2,1,1,1} -3S_{4,3,2,2,1} -4S_{4,3,3,1,1} +3S_{4,3,3,2} +3S_{4,4,1,1,1,1} -12S_{4,4,2,1,1} +9S_{4,4,2,2} +13S_{4,4,3,1} +7S_{5,3,1,1,1,1} -24S_{5,3,2,1,1} +17S_{5,3,2,2} +17S_{5,3,3,1} -25S_{5,4,1,1,1} +114S_{5,4,2,1} +39S_{5,4,3} -13S_{5,5,1,1} +69S_{5,5,2} -26S_{6,3,1,1,1} +110S_{6,3,2,1} +28S_{6,3,3} -79S_{6,4,1,1} +198S_{6,4,2} -21S_{6,5,1} +5S_{6,6} +S_{3,3,1,1,1,1,1,1} -S_{3,3,2,1,1,1,1} +S_{3,3,3,1,1,1})T^12 +( -S_{3,3,2,1,1,1} -3S_{4,3,1,1,1,1} +8S_{4,3,2,1,1} -3S_{4,3,2,2} -4S_{4,3,3,1} +3S_{4,4,1,1,1} -15S_{4,4,2,1} -2S_{4,4,3} +7S_{5,3,1,1,1} -31S_{5,3,2,1} -6S_{5,3,3} +15S_{5,4,1,1} -31S_{5,4,2} +23S_{5,5,1} +35S_{6,3,1,1} -36S_{6,3,2} +95S_{6,4,1} +25S_{6,5} +119S_{7,3,1} +37S_{7,4} +53S_{8,3} +S_{3,3,3,1,1} +S_{3,3,1,1,1,1,1})T^11 +( -46S_{5,4,1} -12S_{5,5} -63S_{6,3,1} -39S_{6,4} -39S_{7,3} -S_{3,3,2,1,1} -3S_{4,3,1,1,1} +8S_{4,3,2,1} -S_{4,3,3} +S_{3,3,1,1,1,1} +S_{3,3,3,1})T^10 +(S_{3,3,3} -S_{3,3,2,1} -3S_{4,3,1,1} +5S_{4,3,2} +9S_{4,4,1} +25S_{5,3,1} +19S_{5,4} +25S_{6,3} +S_{3,3,1,1,1})T^9 +( -S_{3,3,2} -6S_{4,3,1} -3S_{4,4} -11S_{5,3} +S_{3,3,1,1})T^8 +(S_{3,3,1} +3S_{4,3})T^7

codimension 8

Local algebra C[x]/(x^5)
Thom-Boardman class \Sigma^{1,1,1,1,0}
Codimension 8
SSM-Thom polynomial in Chern classes T^8(6c_{1}^3c_{5} +9c_{1}^2c_{2}c_{4} +2c_{1}^2c_{3}^2 +6c_{1}c_{2}^2c_{3} +c_{2}^4 +54c_{1}^2c_{6} +53c_{1}c_{2}c_{5} +17c_{1}c_{3}c_{4} +16c_{2}^2c_{4} +4c_{2}c_{3}^2 +156c_{1}c_{7} +76c_{2}c_{6} +21c_{3}c_{5} +11c_{4}^2 +144c_{8}) +T^9( -24c_{1}^4c_{5} -36c_{1}^3c_{2}c_{4} -8c_{1}^3c_{3}^2 -24c_{1}^2c_{2}^2c_{3} -4c_{1}c_{2}^4 -312c_{1}^3c_{6} -342c_{1}^2c_{2}c_{5} -114c_{1}^2c_{3}c_{4} -130c_{1}c_{2}^2c_{4} -46c_{1}c_{2}c_{3}^2 -16c_{2}^3c_{3} -1488c_{1}^2c_{7} -1082c_{1}c_{2}c_{6} -339c_{1}c_{3}c_{5} -131c_{1}c_{4}^2 -189c_{2}^2c_{5} -124c_{2}c_{3}c_{4} -7c_{3}^3 -3072c_{1}c_{8} -1132c_{2}c_{7} -374c_{3}c_{6} -222c_{4}c_{5} -2304c_{9}) +T^10(60c_{1}^5c_{5} +90c_{1}^4c_{2}c_{4} +20c_{1}^4c_{3}^2 +60c_{1}^3c_{2}^2c_{3} +10c_{1}^2c_{2}^4 +960c_{1}^4c_{6} +1068c_{1}^3c_{2}c_{5} +372c_{1}^3c_{3}c_{4} +403c_{1}^2c_{2}^2c_{4} +162c_{1}^2c_{2}c_{3}^2 +40c_{1}c_{2}^3c_{3} -5c_{2}^5 +6120c_{1}^3c_{7} +4882c_{1}^2c_{2}c_{6} +1661c_{1}^2c_{3}c_{5} +597c_{1}^2c_{4}^2 +999c_{1}c_{2}^2c_{5} +776c_{1}c_{2}c_{3}c_{4} +55c_{1}c_{3}^3 -7c_{2}^3c_{4} +37c_{2}^2c_{3}^2 +19380c_{1}^2c_{8} +10168c_{1}c_{2}c_{7} +3684c_{1}c_{3}c_{6} +2028c_{1}c_{4}c_{5} +929c_{2}^2c_{6} +782c_{2}c_{3}c_{5} +212c_{2}c_{4}^2 +137c_{3}^2c_{4} +30360c_{1}c_{9} +8092c_{2}c_{8} +3150c_{3}c_{7} +1499c_{4}c_{6} +579c_{5}^2 +18720c_{10}) +T^11( -120c_{1}^6c_{5} -180c_{1}^5c_{2}c_{4} -40c_{1}^5c_{3}^2 -120c_{1}^4c_{2}^2c_{3} -20c_{1}^3c_{2}^4 -2220c_{1}^5c_{6} -2450c_{1}^4c_{2}c_{5} -890c_{1}^4c_{3}c_{4} -875c_{1}^3c_{2}^2c_{4} -390c_{1}^3c_{2}c_{3}^2 -40c_{1}^2c_{2}^3c_{3} +25c_{1}c_{2}^5 -16920c_{1}^4c_{7} -13224c_{1}^3c_{2}c_{6} -5008c_{1}^3c_{3}c_{5} -1738c_{1}^3c_{4}^2 -2004c_{1}^2c_{2}^2c_{5} -2225c_{1}^2c_{2}c_{3}c_{4} -206c_{1}^2c_{3}^3 +521c_{1}c_{2}^3c_{4} +19c_{1}c_{2}^2c_{3}^2 +105c_{2}^4c_{3} -67860c_{1}^3c_{8} -35056c_{1}^2c_{2}c_{7} -15431c_{1}^2c_{3}c_{6} -8143c_{1}^2c_{4}c_{5} -467c_{1}c_{2}^2c_{6} -3170c_{1}c_{2}c_{3}c_{5} -700c_{1}c_{2}c_{4}^2 -893c_{1}c_{3}^2c_{4} +1035c_{2}^3c_{5} +497c_{2}^2c_{3}c_{4} -12c_{2}c_{3}^3 -150720c_{1}^2c_{9} -45254c_{1}c_{2}c_{8} -24070c_{1}c_{3}c_{7} -10901c_{1}c_{4}c_{6} -4115c_{1}c_{5}^2 +2353c_{2}^2c_{7} -1404c_{2}c_{3}c_{6} -226c_{2}c_{4}c_{5} -631c_{3}^2c_{5} -352c_{3}c_{4}^2 -175440c_{1}c_{10} -22636c_{2}c_{9} -14800c_{3}c_{8} -6283c_{4}c_{7} -3801c_{5}c_{6} -83520c_{11}) +T^12(210c_{1}^7c_{5} +315c_{1}^6c_{2}c_{4} +70c_{1}^6c_{3}^2 +210c_{1}^5c_{2}^2c_{3} +35c_{1}^4c_{2}^4 +4350c_{1}^6c_{6} +4725c_{1}^5c_{2}c_{5} +1785c_{1}^5c_{3}c_{4} +1565c_{1}^4c_{2}^2c_{4} +770c_{1}^4c_{2}c_{3}^2 -40c_{1}^3c_{2}^3c_{3} -75c_{1}^2c_{2}^5 +37530c_{1}^5c_{7} +27511c_{1}^4c_{2}c_{6} +11725c_{1}^4c_{3}c_{5} +3979c_{1}^4c_{4}^2 +1671c_{1}^3c_{2}^2c_{5} +4479c_{1}^3c_{2}c_{3}c_{4} +550c_{1}^3c_{3}^3 -2575c_{1}^2c_{2}^3c_{4} -525c_{1}^2c_{2}^2c_{3}^2 -480c_{1}c_{2}^4c_{3} +15c_{2}^6 +171450c_{1}^4c_{8} +69851c_{1}^3c_{2}c_{7} +42937c_{1}^3c_{3}c_{6} +21792c_{1}^3c_{4}c_{5} -20020c_{1}^2c_{2}^2c_{6} +3343c_{1}^2c_{2}c_{3}c_{5} -390c_{1}^2c_{2}c_{4}^2 +3132c_{1}^2c_{3}^2c_{4} -9419c_{1}c_{2}^3c_{5} -5715c_{1}c_{2}^2c_{3}c_{4} -86c_{1}c_{2}c_{3}^3 -457c_{2}^4c_{4} -418c_{2}^3c_{3}^2 +432102c_{1}^3c_{9} +35307c_{1}^2c_{2}c_{8} +81246c_{1}^2c_{3}c_{7} +33647c_{1}^2c_{4}c_{6} +12767c_{1}^2c_{5}^2 -78174c_{1}c_{2}^2c_{7} -15303c_{1}c_{2}c_{3}c_{6} -12553c_{1}c_{2}c_{4}c_{5} +3676c_{1}c_{3}^2c_{5} +1646c_{1}c_{3}c_{4}^2 -11523c_{2}^3c_{6} -7567c_{2}^2c_{3}c_{5} -2460c_{2}^2c_{4}^2 -830c_{2}c_{3}^2c_{4} +27c_{3}^4 +552858c_{1}^2c_{10} -156223c_{1}c_{2}c_{9} +61463c_{1}c_{3}c_{8} +19683c_{1}c_{4}c_{7} +12027c_{1}c_{5}c_{6} -86137c_{2}^2c_{8} -27803c_{2}c_{3}c_{7} -15620c_{2}c_{4}c_{6} -6331c_{2}c_{5}^2 +1318c_{3}^2c_{6} +447c_{3}c_{4}c_{5} -74c_{4}^3 +240132c_{1}c_{11} -209600c_{2}c_{10} -801c_{3}c_{9} -5453c_{4}c_{8} -3579c_{5}c_{7} -851c_{6}^2 -68112c_{12})
SSM-Thom polynomial in Schur functions T^8(s_{2,2,2,2} +9s_{3,2,2,1} +10s_{3,3,1,1} +21s_{3,3,2} +26s_{4,2,1,1} +55s_{4,2,2} +104s_{4,3,1} +76s_{4,4} +24s_{5,1,1,1} +210s_{5,2,1} +240s_{5,3} +216s_{6,1,1} +460s_{6,2} +624s_{7,1} +576s_{8}) +T^9( -4s_{2,2,2,2,1} -36s_{3,2,2,1,1} -56s_{3,2,2,2} -40s_{3,3,1,1,1} -222s_{3,3,2,1} -137s_{3,3,3} -104s_{4,2,1,1,1} -504s_{4,2,2,1} -780s_{4,3,1,1} -1252s_{4,3,2} -1316s_{4,4,1} -96s_{5,1,1,1,1} -1456s_{5,2,1,1} -1940s_{5,2,2} -4144s_{5,3,1} -3032s_{5,4} -1344s_{6,1,1,1} -6904s_{6,2,1} -6928s_{6,3} -6816s_{7,1,1} -11696s_{7,2} -14784s_{8,1} -11520s_{9}) +T^10(33060s_{6,2,1,1} +33585s_{6,2,2} +73244s_{6,3,1} +48920s_{6,4} +29520s_{7,1,1,1} +109870s_{7,2,1} +96288s_{7,3} +103080s_{8,1,1} +150220s_{8,2} +176880s_{9,1} +118080s_{10} +8312s_{4,3,2,1} +4720s_{4,3,3} +6760s_{4,4,1,1} +9032s_{4,4,2} +240s_{5,1,1,1,1,1} +4670s_{5,2,1,1,1} +12120s_{5,2,2,1} +20928s_{5,3,1,1} +26573s_{5,3,2} +33490s_{5,4,1} +14612s_{5,5} +4200s_{6,1,1,1,1} +100s_{3,3,1,1,1,1} +767s_{3,3,2,1,1} +749s_{3,3,2,2} +1041s_{3,3,3,1} +260s_{4,2,1,1,1,1} +1705s_{4,2,2,1,1} +1505s_{4,2,2,2} +2544s_{4,3,1,1,1} +10s_{2,2,2,2,1,1} +5s_{2,2,2,2,2} +90s_{3,2,2,1,1,1} +220s_{3,2,2,2,1}) +T^11( -370920s_{8,1,1,1} -1062320s_{8,2,1} -798412s_{8,3} -945600s_{9,1,1} -1175720s_{9,2} -1284000s_{10,1} -720000s_{11} -94440s_{6,2,1,1,1} -169185s_{6,2,2,1} -299344s_{6,3,1,1} -310419s_{6,3,2} -401282s_{6,4,1} -187060s_{6,5} -82080s_{7,1,1,1,1} -431710s_{7,2,1,1} -354160s_{7,2,2} -755318s_{7,3,1} -441268s_{7,4} -480s_{5,1,1,1,1,1,1} -10890s_{5,2,1,1,1,1} -36760s_{5,2,2,1,1} -23830s_{5,2,2,2} -60514s_{5,3,1,1,1} -139151s_{5,3,2,1} -67306s_{5,3,3} -139194s_{5,4,1,1} -154722s_{5,4,2} -121436s_{5,5,1} -9720s_{6,1,1,1,1,1} -520s_{4,2,1,1,1,1,1} -4035s_{4,2,2,1,1,1} -5490s_{4,2,2,2,1} -5960s_{4,3,1,1,1,1} -25459s_{4,3,2,1,1} -18042s_{4,3,2,2} -26998s_{4,3,3,1} -19610s_{4,4,1,1,1} -48106s_{4,4,2,1} -28542s_{4,4,3} -180s_{3,2,2,1,1,1,1} -540s_{3,2,2,2,1,1} -230s_{3,2,2,2,2} -200s_{3,3,1,1,1,1,1} -1825s_{3,3,2,1,1,1} -2731s_{3,3,2,2,1} -3257s_{3,3,3,1,1} -2980s_{3,3,3,2} -20s_{2,2,2,2,1,1,1} -15s_{2,2,2,2,2,1}) +T^12(3859102s_{8,3,1} +1614440s_{8,4} +2705808s_{9,1,1,1} +5282940s_{9,2,1} +2803140s_{9,3} +4480272s_{10,1,1} +3937720s_{10,2} +3754848s_{11,1} +1153152s_{12} +224564s_{6,6} +180000s_{7,1,1,1,1,1} +1085230s_{7,2,1,1,1} +1325648s_{7,2,2,1} +2323926s_{7,3,1,1} +1753901s_{7,3,2} +2181276s_{7,4,1} +772160s_{7,5} +921000s_{8,1,1,1,1} +3224212s_{8,2,1,1} +1933150s_{8,2,2} +307128s_{5,5,2} +18960s_{6,1,1,1,1,1,1} +207720s_{6,2,1,1,1,1} +442305s_{6,2,2,1,1} +207297s_{6,2,2,2} +751798s_{6,3,1,1,1} +1170061s_{6,3,2,1} +409561s_{6,3,3} +1235394s_{6,4,1,1} +1000307s_{6,4,2} +926710s_{6,5,1} +81520s_{5,2,2,1,1,1} +73280s_{5,2,2,2,1} +132998s_{5,3,1,1,1,1} +361420s_{5,3,2,1,1} +180750s_{5,3,2,2} +263369s_{5,3,3,1} +348450s_{5,4,1,1,1} +582174s_{5,4,2,1} +254426s_{5,4,3} +373024s_{5,5,1,1} +54437s_{4,3,2,2,1} +69722s_{4,3,3,1,1} +43216s_{4,3,3,2} +43038s_{4,4,1,1,1,1} +124311s_{4,4,2,1,1} +63745s_{4,4,2,2} +111601s_{4,4,3,1} +26603s_{4,4,4} +840s_{5,1,1,1,1,1,1,1} +21260s_{5,2,1,1,1,1,1} +8738s_{3,3,3,2,1} +2368s_{3,3,3,3} +910s_{4,2,1,1,1,1,1,1} +7890s_{4,2,2,1,1,1,1} +12530s_{4,2,2,2,1,1} +4195s_{4,2,2,2,2} +11640s_{4,3,1,1,1,1,1} +56309s_{4,3,2,1,1,1} +315s_{3,2,2,1,1,1,1,1} +1060s_{3,2,2,2,1,1,1} +620s_{3,2,2,2,2,1} +350s_{3,3,1,1,1,1,1,1} +3570s_{3,3,2,1,1,1,1} +6195s_{3,3,2,2,1,1} +2017s_{3,3,2,2,2} +7185s_{3,3,3,1,1,1} +35s_{2,2,2,2,1,1,1,1} +30s_{2,2,2,2,2,1,1} +10s_{2,2,2,2,2,2})
SSM-Thom polynomial in Schur-tilde functions ( -442404S_{7,3,1,1} -740560S_{7,3,2} -936632S_{7,4,1} -551620S_{7,5} -1510650S_{8,3,1} -1138612S_{8,4} -1906068S_{9,3} -8580S_{5,2,2,2,1} -240S_{6,1,1,1,1,1,1} +3006S_{6,2,1,1,1,1} -37425S_{6,2,2,1,1} -51017S_{6,2,2,2} -2608468S_{10,2} -2822352S_{11,1} -1942848S_{12} +26S_{4,2,1,1,1,1,1,1} -160S_{4,2,2,1,1,1,1} +24S_{5,1,1,1,1,1,1,1} -358S_{5,2,1,1,1,1,1} +1782S_{5,2,2,1,1,1} +1560S_{7,1,1,1,1,1} -58266S_{7,2,1,1,1} -297290S_{7,2,2,1} -30840S_{8,1,1,1,1} -513308S_{8,2,1,1} -743364S_{8,2,2} -314640S_{9,1,1,1} -1806400S_{9,2,1} -1393704S_{10,1,1} +358S_{4,2,2,2,1,1} -223S_{4,2,2,2,2} -208S_{4,3,1,1,1,1,1} +1413S_{4,3,2,1,1,1} -6797S_{4,3,2,2,1} -6152S_{4,3,3,1,1} -11077S_{4,3,3,2} +596S_{4,4,1,1,1,1} -11190S_{4,4,2,1,1} -16139S_{4,4,2,2} -30022S_{4,4,3,1} -9099S_{4,4,4} +2202S_{5,3,1,1,1,1} -34945S_{5,3,2,1,1} -49230S_{5,3,2,2} -68717S_{5,3,3,1} -22474S_{5,4,1,1,1} -153967S_{5,4,2,1} -115526S_{5,4,3} -76034S_{5,5,1,1} -134675S_{5,5,2} -47964S_{6,3,1,1,1} -295155S_{6,3,2,1} -171685S_{6,3,3} -256682S_{6,4,1,1} -449879S_{6,4,2} -409594S_{6,5,1} -146872S_{6,6} +S_{2,2,2,2,1,1,1,1} +9S_{3,2,2,1,1,1,1,1} -22S_{3,2,2,2,1,1,1} +14S_{3,2,2,2,2,1} +10S_{3,3,1,1,1,1,1,1} -76S_{3,3,2,1,1,1,1} +180S_{3,3,2,2,1,1} -114S_{3,3,2,2,2} +129S_{3,3,3,1,1,1} -924S_{3,3,3,2,1} -250S_{3,3,3,3})T^12 +(2136S_{4,3,2,2} +2130S_{4,3,3,1} +826S_{4,4,1,1,1} +3076S_{4,4,2,1} +2952S_{4,4,3} +2862S_{5,3,1,1,1} +6632S_{5,3,2,1} +6335S_{5,3,3} +4408S_{5,4,1,1} +9734S_{5,4,2} +6620S_{5,5,1} +40320S_{11} +S_{2,2,2,2,1,1,1} +9S_{3,2,2,1,1,1,1} -22S_{3,2,2,2,1,1} +14S_{3,2,2,2,2} +10S_{3,3,1,1,1,1,1} -76S_{3,3,2,1,1,1} +236S_{3,3,2,2,1} +185S_{3,3,3,1,1} +294S_{3,3,3,2} +483S_{4,2,2,2,1} -208S_{4,3,1,1,1,1} +1826S_{4,3,2,1,1} +4842S_{6,3,1,1} +11436S_{6,3,2} +5982S_{6,4,1} +15424S_{6,5} -15990S_{7,3,1} +23172S_{7,4} +10896S_{8,3} -160S_{4,2,2,1,1,1} +24S_{5,1,1,1,1,1,1} -358S_{5,2,1,1,1,1} +2337S_{5,2,2,1,1} +2898S_{5,2,2,2} -240S_{6,1,1,1,1,1} +3828S_{6,2,1,1,1} +7058S_{6,2,2,1} +1920S_{7,1,1,1,1} -188S_{7,2,1,1} +13048S_{7,2,2} -5664S_{8,1,1,1} -57360S_{8,2,1} -56616S_{9,1,1} -25148S_{9,2} -41664S_{10,1} +26S_{4,2,1,1,1,1,1})T^11 +(26S_{4,2,1,1,1,1} -160S_{4,2,2,1,1} +9S_{3,2,2,1,1,1} -22S_{3,2,2,2,1} +10S_{3,3,1,1,1,1} -76S_{3,3,2,1,1} -23S_{3,3,2,2} +10S_{3,3,3,1} -61S_{4,2,2,2} -208S_{4,3,1,1,1} +655S_{4,3,2,1} +219S_{4,3,3} +444S_{4,4,1,1} +970S_{4,4,2} +1956S_{5,3,1,1} +4278S_{5,3,2} +6324S_{5,4,1} +1704S_{5,5} +17022S_{6,3,1} +9248S_{6,4} +22836S_{7,3} +28800S_{10} +S_{2,2,2,2,1,1} +24S_{5,1,1,1,1,1} -358S_{5,2,1,1,1} +963S_{5,2,2,1} -240S_{6,1,1,1,1} +3440S_{6,2,1,1} +5176S_{6,2,2} +2928S_{7,1,1,1} +28928S_{7,2,1} +26328S_{8,1,1} +41836S_{8,2} +53040S_{9,1})T^10 +( -8S_{3,2,2,2} +9S_{3,2,2,1,1} +10S_{3,3,1,1,1} -62S_{3,3,2,1} -32S_{3,3,3} +26S_{4,2,1,1,1} -144S_{4,2,2,1} -220S_{4,3,1,1} -532S_{4,3,2} -568S_{4,4,1} +24S_{5,1,1,1,1} -414S_{5,2,1,1} -825S_{5,2,2} -2064S_{5,3,1} -1452S_{5,4} -336S_{6,1,1,1} -3616S_{6,2,1} -3648S_{6,3} -3432S_{7,1,1} -6604S_{7,2} -8640S_{8,1} -6336S_{9} +S_{2,2,2,2,1})T^9 +(9S_{3,2,2,1} +10S_{3,3,1,1} +21S_{3,3,2} +26S_{4,2,1,1} +55S_{4,2,2} +104S_{4,3,1} +76S_{4,4} +24S_{5,1,1,1} +210S_{5,2,1} +240S_{5,3} +216S_{6,1,1} +460S_{6,2} +624S_{7,1} +576S_{8} +S_{2,2,2,2})T^8
Local algebra C[x,y]/(x^2,xy,y^3)
Thom-Boardman class \Sigma^{2,0}
Codimension 8
SSM-Thom polynomial in Chern classes T^8( -2c_{1}c_{2}c_{5} +2c_{1}c_{3}c_{4} -2c_{2}^2c_{4} +2c_{2}c_{3}^2 -4c_{2}c_{6} +6c_{3}c_{5} -2c_{4}^2) +T^9(8c_{1}^2c_{2}c_{5} -8c_{1}^2c_{3}c_{4} +8c_{1}c_{2}^2c_{4} -8c_{1}c_{2}c_{3}^2 +32c_{1}c_{2}c_{6} -39c_{1}c_{3}c_{5} +7c_{1}c_{4}^2 +11c_{2}^2c_{5} -6c_{2}c_{3}c_{4} -5c_{3}^3 +32c_{2}c_{7} -36c_{3}c_{6} +4c_{4}c_{5}) +T^10( -20c_{1}^3c_{2}c_{5} +20c_{1}^3c_{3}c_{4} -20c_{1}^2c_{2}^2c_{4} +20c_{1}^2c_{2}c_{3}^2 -116c_{1}^2c_{2}c_{6} +129c_{1}^2c_{3}c_{5} -13c_{1}^2c_{4}^2 -47c_{1}c_{2}^2c_{5} +24c_{1}c_{2}c_{3}c_{4} +23c_{1}c_{3}^3 +6c_{2}^3c_{4} -6c_{2}^2c_{3}^2 -236c_{1}c_{2}c_{7} +232c_{1}c_{3}c_{6} +4c_{1}c_{4}c_{5} -38c_{2}^2c_{6} -6c_{2}c_{3}c_{5} +10c_{2}c_{4}^2 +34c_{3}^2c_{4} -168c_{2}c_{8} +144c_{3}c_{7} +30c_{4}c_{6} -6c_{5}^2) +T^11(40c_{1}^4c_{2}c_{5} -40c_{1}^4c_{3}c_{4} +40c_{1}^3c_{2}^2c_{4} -40c_{1}^3c_{2}c_{3}^2 +300c_{1}^3c_{2}c_{6} -315c_{1}^3c_{3}c_{5} +15c_{1}^3c_{4}^2 +125c_{1}^2c_{2}^2c_{5} -60c_{1}^2c_{2}c_{3}c_{4} -65c_{1}^2c_{3}^3 -30c_{1}c_{2}^3c_{4} +30c_{1}c_{2}^2c_{3}^2 +900c_{1}^2c_{2}c_{7} -800c_{1}^2c_{3}c_{6} -100c_{1}^2c_{4}c_{5} +156c_{1}c_{2}^2c_{6} +109c_{1}c_{2}c_{3}c_{5} -75c_{1}c_{2}c_{4}^2 -190c_{1}c_{3}^2c_{4} -41c_{2}^3c_{5} +28c_{2}^2c_{3}c_{4} +13c_{2}c_{3}^3 +1280c_{1}c_{2}c_{8} -924c_{1}c_{3}c_{7} -347c_{1}c_{4}c_{6} -9c_{1}c_{5}^2 +78c_{2}^2c_{7} +165c_{2}c_{3}c_{6} -69c_{2}c_{4}c_{5} -101c_{3}^2c_{5} -73c_{3}c_{4}^2 +720c_{2}c_{9} -420c_{3}c_{8} -250c_{4}c_{7} -50c_{5}c_{6}) +T^12( -70c_{1}^5c_{2}c_{5} +70c_{1}^5c_{3}c_{4} -70c_{1}^4c_{2}^2c_{4} +70c_{1}^4c_{2}c_{3}^2 -640c_{1}^4c_{2}c_{6} +645c_{1}^4c_{3}c_{5} -5c_{1}^4c_{4}^2 -265c_{1}^3c_{2}^2c_{5} +120c_{1}^3c_{2}c_{3}c_{4} +145c_{1}^3c_{3}^3 +90c_{1}^2c_{2}^3c_{4} -90c_{1}^2c_{2}^2c_{3}^2 -2510c_{1}^3c_{2}c_{7} +2070c_{1}^3c_{3}c_{6} +440c_{1}^3c_{4}c_{5} -384c_{1}^2c_{2}^2c_{6} -515c_{1}^2c_{2}c_{3}c_{5} +269c_{1}^2c_{2}c_{4}^2 +630c_{1}^2c_{3}^2c_{4} +231c_{1}c_{2}^3c_{5} -156c_{1}c_{2}^2c_{3}c_{4} -75c_{1}c_{2}c_{3}^3 -10c_{2}^4c_{4} +10c_{2}^3c_{3}^2 -5260c_{1}^2c_{2}c_{8} +3288c_{1}^2c_{3}c_{7} +1789c_{1}^2c_{4}c_{6} +183c_{1}^2c_{5}^2 -148c_{1}c_{2}^2c_{7} -1452c_{1}c_{2}c_{3}c_{6} +470c_{1}c_{2}c_{4}c_{5} +613c_{1}c_{3}^2c_{5} +517c_{1}c_{3}c_{4}^2 +215c_{2}^3c_{6} -95c_{2}^2c_{3}c_{5} -3c_{2}^2c_{4}^2 -139c_{2}c_{3}^2c_{4} +22c_{3}^4 -5854c_{1}c_{2}c_{9} +2600c_{1}c_{3}c_{8} +2459c_{1}c_{4}c_{7} +795c_{1}c_{5}c_{6} +66c_{2}^2c_{8} -1111c_{2}c_{3}c_{7} +54c_{2}c_{4}c_{6} +211c_{2}c_{5}^2 +277c_{3}^2c_{6} +429c_{3}c_{4}c_{5} +74c_{4}^3 -2748c_{2}c_{10} +822c_{3}c_{9} +1134c_{4}c_{8} +774c_{5}c_{7} +18c_{6}^2)
SSM-Thom polynomial in Schur functions T^8(2s_{3,3,2} +4s_{4,3,1} +8s_{5,3}) +T^9( -8s_{3,3,2,1} -13s_{3,3,3} -16s_{4,3,1,1} -40s_{4,3,2} -28s_{4,4,1} -80s_{5,3,1} -56s_{5,4} -96s_{6,3}) +T^10(20s_{3,3,2,1,1} +14s_{3,3,2,2} +57s_{3,3,3,1} +40s_{4,3,1,1,1} +178s_{4,3,2,1} +195s_{4,3,3} +128s_{4,4,1,1} +262s_{4,4,2} +300s_{5,3,1,1} +450s_{5,3,2} +644s_{5,4,1} +240s_{5,5} +788s_{6,3,1} +776s_{6,4} +696s_{7,3}) +T^11( -3984s_{8,3} -3052s_{6,3,1,1} -3712s_{6,3,2} -7328s_{6,4,1} -3888s_{6,5} -5616s_{7,3,1} -6512s_{7,4} -780s_{5,3,1,1,1} -2178s_{5,3,2,1} -1814s_{5,3,3} -2756s_{5,4,1,1} -3988s_{5,4,2} -2784s_{5,5,1} -80s_{4,3,1,1,1,1} -490s_{4,3,2,1,1} -326s_{4,3,2,2} -963s_{4,3,3,1} -360s_{4,4,1,1,1} -1330s_{4,4,2,1} -1298s_{4,4,3} -40s_{3,3,2,1,1,1} -50s_{3,3,2,2,1} -155s_{3,3,3,1,1} -112s_{3,3,3,2}) +T^12(33248s_{8,3,1} +42848s_{8,4} +19872s_{9,3} +13208s_{6,6} +23072s_{7,3,1,1} +25176s_{7,3,2} +59944s_{7,4,1} +37384s_{7,5} +17546s_{5,5,2} +8468s_{6,3,1,1,1} +19428s_{6,3,2,1} +13497s_{6,3,3} +32092s_{6,4,1,1} +39254s_{6,4,2} +40560s_{6,5,1} +1660s_{5,3,1,1,1,1} +6522s_{5,3,2,1,1} +4186s_{5,3,2,2} +9990s_{5,3,3,1} +8016s_{5,4,1,1,1} +21906s_{5,4,2,1} +17472s_{5,4,3} +13076s_{5,5,1,1} +1264s_{4,3,2,2,1} +2904s_{4,3,3,1,1} +2160s_{4,3,3,2} +800s_{4,4,1,1,1,1} +4082s_{4,4,2,1,1} +2788s_{4,4,2,2} +7290s_{4,4,3,1} +3128s_{4,4,4} +435s_{3,3,3,2,1} +132s_{3,3,3,3} +140s_{4,3,1,1,1,1,1} +1070s_{4,3,2,1,1,1} +70s_{3,3,2,1,1,1,1} +120s_{3,3,2,2,1,1} +60s_{3,3,2,2,2} +335s_{3,3,3,1,1,1})
SSM-Thom polynomial in Schur-tilde functions (1816S_{7,3,1,1} +2168S_{7,3,2} +8496S_{7,4,1} +4648S_{7,5} +4024S_{8,3,1} +5872S_{8,4} +2016S_{9,3} +18S_{4,3,3,1,1} +9S_{4,3,3,2} +24S_{4,4,2,1,1} +30S_{4,4,2,2} +387S_{4,4,3,1} +148S_{4,4,4} +50S_{5,3,2,1,1} +22S_{5,3,2,2} +468S_{5,3,3,1} +76S_{5,4,1,1,1} +1628S_{5,4,2,1} +1534S_{5,4,3} +900S_{5,5,1,1} +1674S_{5,5,2} +100S_{6,3,1,1,1} +1200S_{6,3,2,1} +824S_{6,3,3} +2644S_{6,4,1,1} +4456S_{6,4,2} +4908S_{6,5,1} +1104S_{6,6})T^12 +( -252S_{5,4,1,1} -616S_{5,4,2} -368S_{5,5,1} -272S_{6,3,1,1} -464S_{6,3,2} -1344S_{6,4,1} -576S_{6,5} -1016S_{7,3,1} -1248S_{7,4} -656S_{8,3} -54S_{4,3,3,1} -108S_{4,4,2,1} -144S_{4,4,3} -156S_{5,3,2,1} -171S_{5,3,3})T^11 +(12S_{4,4,1,1} +52S_{4,4,2} +24S_{5,3,1,1} +90S_{5,3,2} +144S_{5,4,1} +32S_{5,5} +216S_{6,3,1} +192S_{6,4} +192S_{7,3} +3S_{3,3,3,1} +12S_{4,3,2,1} +29S_{4,3,3})T^10 +( -8S_{4,4,1} -36S_{5,3,1} -16S_{5,4} -48S_{6,3} -3S_{3,3,3} -16S_{4,3,2})T^9 +(4S_{4,3,1} +8S_{5,3} +2S_{3,3,2})T^8

codimension 9

Local algebra C[x,y]/(xy,x^2,y^3)
Thom-Boardman class \Sigma^{2,0}
Codimension 9
SSM-Thom polynomial in Chern classes T^9( -2c_{1}^2c_{2}c_{5} +2c_{1}^2c_{3}c_{4} -2c_{1}c_{2}^2c_{4} +2c_{1}c_{2}c_{3}^2 -10c_{1}c_{2}c_{6} +9c_{1}c_{3}c_{5} +c_{1}c_{4}^2 -5c_{2}^2c_{5} +4c_{2}c_{3}c_{4} +c_{3}^3 -12c_{2}c_{7} +10c_{3}c_{6} +2c_{4}c_{5}) +T^10(8c_{1}^3c_{2}c_{5} -8c_{1}^3c_{3}c_{4} +8c_{1}^2c_{2}^2c_{4} -8c_{1}^2c_{2}c_{3}^2 +62c_{1}^2c_{2}c_{6} -54c_{1}^2c_{3}c_{5} -8c_{1}^2c_{4}^2 +40c_{1}c_{2}^2c_{5} -30c_{1}c_{2}c_{3}c_{4} -10c_{1}c_{3}^3 +4c_{2}^3c_{4} -4c_{2}^2c_{3}^2 +158c_{1}c_{2}c_{7} -121c_{1}c_{3}c_{6} -37c_{1}c_{4}c_{5} +51c_{2}^2c_{6} -21c_{2}c_{3}c_{5} -7c_{2}c_{4}^2 -23c_{3}^2c_{4} +132c_{2}c_{8} -90c_{3}c_{7} -36c_{4}c_{6} -6c_{5}^2) +T^11( -20c_{1}^4c_{2}c_{5} +20c_{1}^4c_{3}c_{4} -20c_{1}^3c_{2}^2c_{4} +20c_{1}^3c_{2}c_{3}^2 -200c_{1}^3c_{2}c_{6} +171c_{1}^3c_{3}c_{5} +29c_{1}^3c_{4}^2 -133c_{1}^2c_{2}^2c_{5} +96c_{1}^2c_{2}c_{3}c_{4} +37c_{1}^2c_{3}^3 -10c_{1}c_{2}^3c_{4} +10c_{1}c_{2}^2c_{3}^2 -770c_{1}^2c_{2}c_{7} +575c_{1}^2c_{3}c_{6} +195c_{1}^2c_{4}c_{5} -323c_{1}c_{2}^2c_{6} +118c_{1}c_{2}c_{3}c_{5} +38c_{1}c_{2}c_{4}^2 +167c_{1}c_{3}^2c_{4} -7c_{2}^3c_{5} -6c_{2}^2c_{3}c_{4} +13c_{2}c_{3}^3 -1350c_{1}c_{2}c_{8} +915c_{1}c_{3}c_{7} +339c_{1}c_{4}c_{6} +96c_{1}c_{5}^2 -289c_{2}^2c_{7} +63c_{2}c_{3}c_{6} +25c_{2}c_{4}c_{5} +121c_{3}^2c_{5} +80c_{3}c_{4}^2 -900c_{2}c_{9} +578c_{3}c_{8} +208c_{4}c_{7} +114c_{5}c_{6}) +T^12(40c_{1}^5c_{2}c_{5} -40c_{1}^5c_{3}c_{4} +40c_{1}^4c_{2}^2c_{4} -40c_{1}^4c_{2}c_{3}^2 +480c_{1}^4c_{2}c_{6} -405c_{1}^4c_{3}c_{5} -75c_{1}^4c_{4}^2 +315c_{1}^3c_{2}^2c_{5} -220c_{1}^3c_{2}c_{3}c_{4} -95c_{1}^3c_{3}^3 +10c_{1}^2c_{2}^3c_{4} -10c_{1}^2c_{2}^2c_{3}^2 +2400c_{1}^3c_{2}c_{7} -1754c_{1}^3c_{3}c_{6} -646c_{1}^3c_{4}c_{5} +1002c_{1}^2c_{2}^2c_{6} -269c_{1}^2c_{2}c_{3}c_{5} -117c_{1}^2c_{2}c_{4}^2 -616c_{1}^2c_{3}^2c_{4} -65c_{1}c_{2}^3c_{5} +108c_{1}c_{2}^2c_{3}c_{4} -43c_{1}c_{2}c_{3}^3 -20c_{2}^4c_{4} +20c_{2}^3c_{3}^2 +6290c_{1}^2c_{2}c_{8} -4201c_{1}^2c_{3}c_{7} -1568c_{1}^2c_{4}c_{6} -521c_{1}^2c_{5}^2 +1601c_{1}c_{2}^2c_{7} -89c_{1}c_{2}c_{3}c_{6} -43c_{1}c_{2}c_{4}c_{5} -908c_{1}c_{3}^2c_{5} -561c_{1}c_{3}c_{4}^2 -117c_{2}^3c_{6} +101c_{2}^2c_{3}c_{5} +57c_{2}^2c_{4}^2 -21c_{2}c_{3}^2c_{4} -20c_{3}^4 +8610c_{1}c_{2}c_{9} -5577c_{1}c_{3}c_{8} -1799c_{1}c_{4}c_{7} -1234c_{1}c_{5}c_{6} +1119c_{2}^2c_{8} -3c_{2}c_{3}c_{7} +219c_{2}c_{4}c_{6} -56c_{2}c_{5}^2 -643c_{3}^2c_{6} -578c_{3}c_{4}c_{5} -58c_{4}^3 +4860c_{2}c_{10} -3182c_{3}c_{9} -784c_{4}c_{8} -658c_{5}c_{7} -236c_{6}^2)
SSM-Thom polynomial in Schur functions T^9(2s_{3,3,2,1} +3s_{3,3,3} +4s_{4,3,1,1} +12s_{4,3,2} +12s_{4,4,1} +24s_{5,3,1} +24s_{5,4} +32s_{6,3}) +T^10( -8s_{3,3,2,1,1} -12s_{3,3,2,2} -30s_{3,3,3,1} -16s_{4,3,1,1,1} -106s_{4,3,2,1} -123s_{4,3,3} -92s_{4,4,1,1} -180s_{4,4,2} -164s_{5,3,1,1} -304s_{5,3,2} -476s_{5,4,1} -232s_{5,5} -512s_{6,3,1} -584s_{6,4} -496s_{7,3}) +T^11(4440s_{8,3} +2660s_{6,3,1,1} +3890s_{6,3,2} +7396s_{6,4,1} +4472s_{6,5} +5700s_{7,3,1} +6744s_{7,4} +540s_{5,3,1,1,1} +2050s_{5,3,2,1} +1928s_{5,3,3} +2636s_{5,4,1,1} +4064s_{5,4,2} +3136s_{5,5,1} +40s_{4,3,1,1,1,1} +370s_{4,3,2,1,1} +360s_{4,3,2,2} +904s_{4,3,3,1} +312s_{4,4,1,1,1} +1276s_{4,4,2,1} +1248s_{4,4,3} +20s_{3,3,2,1,1,1} +50s_{3,3,2,2,1} +107s_{3,3,3,1,1} +130s_{3,3,3,2}) +T^12( -45544s_{8,3,1} -54072s_{8,4} -30128s_{9,3} -17488s_{6,6} -27432s_{7,3,1,1} -34772s_{7,3,2} -72900s_{7,4,1} -46472s_{7,5} -21672s_{5,5,2} -8376s_{6,3,1,1,1} -24188s_{6,3,2,1} -19395s_{6,3,3} -36820s_{6,4,1,1} -48756s_{6,4,2} -50432s_{6,5,1} -1300s_{5,3,1,1,1,1} -6944s_{5,3,2,1,1} -5516s_{5,3,2,2} -13013s_{5,3,3,1} -8464s_{5,4,1,1,1} -26040s_{5,4,2,1} -21806s_{5,4,3} -15976s_{5,5,1,1} -1518s_{4,3,2,2,1} -3132s_{4,3,3,1,1} -3114s_{4,3,3,2} -760s_{4,4,1,1,1,1} -4376s_{4,4,2,1,1} -3608s_{4,4,2,2} -8626s_{4,4,3,1} -3580s_{4,4,4} -553s_{3,3,3,2,1} -278s_{3,3,3,3} -80s_{4,3,1,1,1,1,1} -910s_{4,3,2,1,1,1} -40s_{3,3,2,1,1,1,1} -130s_{3,3,2,2,1,1} -70s_{3,3,2,2,2} -265s_{3,3,3,1,1,1})
SSM-Thom polynomial in Schur-tilde functions ( -2996S_{7,3,1,1} -4994S_{7,3,2} -11380S_{7,4,1} -5216S_{7,5} -8560S_{8,3,1} -8016S_{8,4} -5336S_{9,3} +4S_{4,3,1,1,1,1,1} -22S_{4,3,2,1,1,1} +32S_{4,3,2,2,1} +34S_{4,3,3,1,1} -53S_{4,3,3,2} -12S_{4,4,1,1,1,1} +48S_{4,4,2,1,1} -42S_{4,4,2,2} -497S_{4,4,3,1} -112S_{4,4,4} -24S_{5,3,1,1,1,1} +84S_{5,3,2,1,1} -66S_{5,3,2,2} -952S_{5,3,3,1} +24S_{5,4,1,1,1} -2086S_{5,4,2,1} -2034S_{5,4,3} -1040S_{5,5,1,1} -1800S_{5,5,2} -8S_{6,3,1,1,1} -2290S_{6,3,2,1} -2058S_{6,3,3} -3320S_{6,4,1,1} -6030S_{6,4,2} -6024S_{6,5,1} -1224S_{6,6} +2S_{3,3,2,1,1,1,1} -2S_{3,3,2,2,1,1} -5S_{3,3,3,1,1,1} +10S_{3,3,3,2,1} -2S_{3,3,3,3})T^12 +( -2S_{3,3,2,2,1} +7S_{3,3,3,2} +2S_{3,3,2,1,1,1} +4S_{4,3,1,1,1,1} -22S_{4,3,2,1,1} +20S_{4,3,2,2} +121S_{4,3,3,1} -12S_{4,4,1,1,1} +168S_{4,4,2,1} +204S_{4,4,3} -24S_{5,3,1,1,1} +332S_{5,3,2,1} +399S_{5,3,3} +376S_{5,4,1,1} +904S_{5,4,2} +604S_{5,5,1} +432S_{6,3,1,1} +1006S_{6,3,2} +1960S_{6,4,1} +928S_{6,5} +1772S_{7,3,1} +1768S_{7,4} +1368S_{8,3} -5S_{3,3,3,1,1})T^11 +( -48S_{5,3,1,1} -148S_{5,3,2} -2S_{3,3,2,2} -24S_{4,4,1,1} -72S_{4,4,2} -224S_{5,4,1} -88S_{5,5} -272S_{6,3,1} -280S_{6,4} -272S_{7,3} +2S_{3,3,2,1,1} +4S_{4,3,1,1,1} -34S_{4,3,2,1} -51S_{4,3,3} -8S_{3,3,3,1})T^10 +(3S_{3,3,3} +2S_{3,3,2,1} +4S_{4,3,1,1} +12S_{4,3,2} +12S_{4,4,1} +24S_{5,3,1} +24S_{5,4} +32S_{6,3})T^9

codimension 10

Local algebra C[x]/(x^6)
Thom-Boardman class \Sigma^{1,1,1,1,1,0}
Codimension 10
SSM-Thom polynomial in Chern classes T^10(24c_{1}^4c_{6} +38c_{1}^3c_{2}c_{5} +12c_{1}^3c_{3}c_{4} +25c_{1}^2c_{2}^2c_{4} +10c_{1}^2c_{2}c_{3}^2 +10c_{1}c_{2}^3c_{3} +c_{2}^5 +336c_{1}^3c_{7} +400c_{1}^2c_{2}c_{6} +115c_{1}^2c_{3}c_{5} +39c_{1}^2c_{4}^2 +170c_{1}c_{2}^2c_{5} +95c_{1}c_{2}c_{3}c_{4} +5c_{1}c_{3}^3 +30c_{2}^3c_{4} +10c_{2}^2c_{3}^2 +1704c_{1}^2c_{8} +1366c_{1}c_{2}c_{7} +389c_{1}c_{3}c_{6} +233c_{1}c_{4}c_{5} +285c_{2}^2c_{6} +136c_{2}c_{3}c_{5} +68c_{2}c_{4}^2 +19c_{3}^2c_{4} +3696c_{1}c_{9} +1508c_{2}c_{8} +450c_{3}c_{7} +268c_{4}c_{6} +78c_{5}^2 +2880c_{10}) +T^11( -120c_{1}^5c_{6} -190c_{1}^4c_{2}c_{5} -60c_{1}^4c_{3}c_{4} -125c_{1}^3c_{2}^2c_{4} -50c_{1}^3c_{2}c_{3}^2 -50c_{1}^2c_{2}^3c_{3} -5c_{1}c_{2}^5 -2280c_{1}^4c_{7} -2902c_{1}^3c_{2}c_{6} -841c_{1}^3c_{3}c_{5} -277c_{1}^3c_{4}^2 -1381c_{1}^2c_{2}^2c_{5} -797c_{1}^2c_{2}c_{3}c_{4} -47c_{1}^2c_{3}^3 -307c_{1}c_{2}^3c_{4} -143c_{1}c_{2}^2c_{3}^2 -25c_{2}^4c_{3} -16920c_{1}^3c_{8} -16398c_{1}^2c_{2}c_{7} -4772c_{1}^2c_{3}c_{6} -2620c_{1}^2c_{4}c_{5} -5141c_{1}c_{2}^2c_{6} -2750c_{1}c_{2}c_{3}c_{5} -1019c_{1}c_{2}c_{4}^2 -380c_{1}c_{3}^2c_{4} -521c_{2}^3c_{5} -436c_{2}^2c_{3}c_{4} -43c_{2}c_{3}^3 -61080c_{1}^2c_{9} -40442c_{1}c_{2}c_{8} -12369c_{1}c_{3}c_{7} -6270c_{1}c_{4}c_{6} -2139c_{1}c_{5}^2 -6385c_{2}^2c_{7} -3567c_{2}c_{3}c_{6} -1993c_{2}c_{4}c_{5} -434c_{3}^2c_{5} -321c_{3}c_{4}^2 -106800c_{1}c_{10} -36548c_{2}c_{9} -11958c_{3}c_{8} -5802c_{4}c_{7} -3292c_{5}c_{6} -72000c_{11}) +T^12(360c_{1}^6c_{6} +570c_{1}^5c_{2}c_{5} +180c_{1}^5c_{3}c_{4} +375c_{1}^4c_{2}^2c_{4} +150c_{1}^4c_{2}c_{3}^2 +150c_{1}^3c_{2}^3c_{3} +15c_{1}^2c_{2}^5 +8280c_{1}^5c_{7} +10722c_{1}^4c_{2}c_{6} +3165c_{1}^4c_{3}c_{5} +1029c_{1}^4c_{4}^2 +5183c_{1}^3c_{2}^2c_{5} +3097c_{1}^3c_{2}c_{3}c_{4} +195c_{1}^3c_{3}^3 +1145c_{1}^2c_{2}^3c_{4} +595c_{1}^2c_{2}^2c_{3}^2 +75c_{1}c_{2}^4c_{3} -6c_{2}^6 +78720c_{1}^4c_{8} +81416c_{1}^3c_{2}c_{7} +24466c_{1}^3c_{3}c_{6} +12962c_{1}^3c_{4}c_{5} +28136c_{1}^2c_{2}^2c_{6} +16115c_{1}^2c_{2}c_{3}c_{5} +5526c_{1}^2c_{2}c_{4}^2 +2344c_{1}^2c_{3}^2c_{4} +3383c_{1}c_{2}^3c_{5} +3249c_{1}c_{2}^2c_{3}c_{4} +398c_{1}c_{2}c_{3}^3 -7c_{2}^4c_{4} +92c_{2}^3c_{3}^2 +394680c_{1}^3c_{9} +310654c_{1}^2c_{2}c_{8} +98476c_{1}^2c_{3}c_{7} +47187c_{1}^2c_{4}c_{6} +16449c_{1}^2c_{5}^2 +70641c_{1}c_{2}^2c_{7} +42610c_{1}c_{2}c_{3}c_{6} +21783c_{1}c_{2}c_{4}c_{5} +5648c_{1}c_{3}^2c_{5} +3720c_{1}c_{3}c_{4}^2 +3876c_{2}^3c_{6} +3933c_{2}^2c_{3}c_{5} +980c_{2}^2c_{4}^2 +1132c_{2}c_{3}^2c_{4} +31c_{3}^4 +1095960c_{1}^2c_{10} +592186c_{1}c_{2}c_{9} +199729c_{1}c_{3}c_{8} +90906c_{1}c_{4}c_{7} +52143c_{1}c_{5}c_{6} +68441c_{2}^2c_{8} +43979c_{2}c_{3}c_{7} +19220c_{2}c_{4}c_{6} +7177c_{2}c_{5}^2 +6010c_{3}^2c_{6} +5833c_{3}c_{4}c_{5} +616c_{4}^3 +1590000c_{1}c_{11} +448052c_{2}c_{10} +160542c_{3}c_{9} +71662c_{4}c_{8} +37554c_{5}c_{7} +13710c_{6}^2 +936000c_{12})
SSM-Thom polynomial in Schur functions T^10(2036s_{6,2,1,1} +2885s_{6,2,2} +6146s_{6,3,1} +4880s_{6,4} +1680s_{7,1,1,1} +9254s_{7,2,1} +9524s_{7,3} +8520s_{8,1,1} +15196s_{8,2} +18480s_{9,1} +14400s_{10} +573s_{4,3,2,1} +381s_{4,3,3} +430s_{4,4,1,1} +783s_{4,4,2} +154s_{5,2,1,1,1} +840s_{5,2,2,1} +1326s_{5,3,1,1} +2232s_{5,3,2} +2850s_{5,4,1} +1432s_{5,5} +120s_{6,1,1,1,1} +35s_{3,3,2,1,1} +56s_{3,3,2,2} +70s_{3,3,3,1} +71s_{4,2,2,1,1} +125s_{4,2,2,2} +92s_{4,3,1,1,1} +s_{2,2,2,2,2} +14s_{3,2,2,2,1}) +T^11( -93000s_{8,1,1,1} -396200s_{8,2,1} -366800s_{8,3} -348000s_{9,1,1} -548280s_{9,2} -626400s_{10,1} -432000s_{11} -15400s_{6,2,1,1,1} -49805s_{6,2,2,1} -82934s_{6,3,1,1} -116994s_{6,3,2} -153604s_{6,4,1} -86816s_{6,5} -12000s_{7,1,1,1,1} -115750s_{7,2,1,1} -132820s_{7,2,2} -284180s_{7,3,1} -203800s_{7,4} -770s_{5,2,1,1,1,1} -7100s_{5,2,2,1,1} -7950s_{5,2,2,2} -10442s_{5,3,1,1,1} -41736s_{5,3,2,1} -25344s_{5,3,3} -39510s_{5,4,1,1} -59476s_{5,4,2} -46792s_{5,5,1} -600s_{6,1,1,1,1,1} -355s_{4,2,2,1,1,1} -1400s_{4,2,2,2,1} -460s_{4,3,1,1,1,1} -5107s_{4,3,2,1,1} -5987s_{4,3,2,2} -8261s_{4,3,3,1} -3454s_{4,4,1,1,1} -14751s_{4,4,2,1} -11100s_{4,4,3} -70s_{3,2,2,2,1,1} -100s_{3,2,2,2,2} -175s_{3,3,2,1,1,1} -693s_{3,3,2,2,1} -690s_{3,3,3,1,1} -956s_{3,3,3,2} -5s_{2,2,2,2,2,1}) +T^12(6493904s_{8,3,1} +4226672s_{8,4} +2419800s_{9,1,1,1} +8554490s_{9,2,1} +7185232s_{9,3} +7150200s_{10,1,1} +10194844s_{10,2} +10956720s_{11,1} +6753600s_{12} +612152s_{6,6} +44280s_{7,1,1,1,1,1} +594160s_{7,2,1,1,1} +1423695s_{7,2,2,1} +2394050s_{7,3,1,1} +2950449s_{7,3,2} +3824990s_{7,4,1} +2082772s_{7,5} +451200s_{8,1,1,1,1} +3125810s_{8,2,1,1} +3089015s_{8,2,2} +559800s_{5,5,2} +1800s_{6,1,1,1,1,1,1} +57906s_{6,2,1,1,1,1} +285284s_{6,2,2,1,1} +248690s_{6,2,2,2} +440162s_{6,3,1,1,1} +1338462s_{6,3,2,1} +731714s_{6,3,3} +1334096s_{6,4,1,1} +1764502s_{6,4,2} +1675764s_{6,5,1} +27585s_{5,2,2,1,1,1} +60200s_{5,2,2,2,1} +39752s_{5,3,1,1,1,1} +247639s_{5,3,2,1,1} +232024s_{5,3,2,2} +328668s_{5,3,3,1} +212824s_{5,4,1,1,1} +698008s_{5,4,2,1} +479646s_{5,4,3} +411812s_{5,5,1,1} +47205s_{4,3,2,2,1} +52220s_{4,3,3,1,1} +60678s_{4,3,3,2} +13226s_{4,4,1,1,1,1} +88547s_{4,4,2,1,1} +84745s_{4,4,2,2} +146079s_{4,4,3,1} +53331s_{4,4,4} +2310s_{5,2,1,1,1,1,1} +8146s_{3,3,3,2,1} +3616s_{3,3,3,3} +1065s_{4,2,2,1,1,1,1} +5805s_{4,2,2,2,1,1} +4885s_{4,2,2,2,2} +1380s_{4,3,1,1,1,1,1} +20121s_{4,3,2,1,1,1} +210s_{3,2,2,2,1,1,1} +495s_{3,2,2,2,2,1} +525s_{3,3,2,1,1,1,1} +2926s_{3,3,2,2,1,1} +2577s_{3,3,2,2,2} +2785s_{3,3,3,1,1,1} +15s_{2,2,2,2,2,1,1} +9s_{2,2,2,2,2,2})
SSM-Thom polynomial in Schur-tilde functions (670266S_{7,3,1,1} +969202S_{7,3,2} +1319006S_{7,4,1} +634796S_{7,5} +2440074S_{8,3,1} +1437504S_{8,4} +2694996S_{9,3} +4648S_{5,2,2,2,1} +120S_{6,1,1,1,1,1,1} -2944S_{6,2,1,1,1,1} +29400S_{6,2,2,1,1} +38101S_{6,2,2,2} +4110184S_{10,2} +4521120S_{11,1} +2520000S_{12} +71S_{4,2,2,1,1,1,1} +154S_{5,2,1,1,1,1,1} -1669S_{5,2,2,1,1,1} -1800S_{7,1,1,1,1,1} +62528S_{7,2,1,1,1} +381857S_{7,2,2,1} +44280S_{8,1,1,1,1} +903428S_{8,2,1,1} +990517S_{8,2,2} +660360S_{9,1,1,1} +3397450S_{9,2,1} +2753520S_{10,1,1} -394S_{4,2,2,2,1,1} -76S_{4,2,2,2,2} +92S_{4,3,1,1,1,1,1} -1332S_{4,3,2,1,1,1} +3790S_{4,3,2,2,1} +4133S_{4,3,3,1,1} +8213S_{4,3,3,2} -680S_{4,4,1,1,1,1} +8177S_{4,4,2,1,1} +11819S_{4,4,2,2} +28557S_{4,4,3,1} +6900S_{4,4,4} -2180S_{5,3,1,1,1,1} +26239S_{5,3,2,1,1} +37858S_{5,3,2,2} +67398S_{5,3,3,1} +20340S_{5,4,1,1,1} +176020S_{5,4,2,1} +115750S_{5,4,3} +91112S_{5,5,1,1} +143371S_{5,5,2} +45600S_{6,3,1,1,1} +364868S_{6,3,2,1} +173495S_{6,3,3} +346854S_{6,4,1,1} +537832S_{6,4,2} +518330S_{6,5,1} +149032S_{6,6} +S_{2,2,2,2,2,1,1} +14S_{3,2,2,2,1,1,1} -33S_{3,2,2,2,2,1} +35S_{3,3,2,1,1,1,1} -210S_{3,3,2,2,1,1} -27S_{3,3,2,2,2} -165S_{3,3,3,1,1,1} +483S_{3,3,3,2,1} +92S_{3,3,3,3})T^12 +( -2398S_{4,3,2,2} -3592S_{4,3,3,1} -844S_{4,4,1,1,1} -7034S_{4,4,2,1} -5280S_{4,4,3} -2736S_{5,3,1,1,1} -21279S_{5,3,2,1} -12279S_{5,3,3} -19330S_{5,4,1,1} -33001S_{5,4,2} -25396S_{5,5,1} -273600S_{11} +S_{2,2,2,2,2,1} +14S_{3,2,2,2,1,1} -13S_{3,2,2,2,2} +35S_{3,3,2,1,1,1} -182S_{3,3,2,2,1} -165S_{3,3,3,1,1} -326S_{3,3,3,2} -364S_{4,2,2,2,1} +92S_{4,3,1,1,1,1} -1450S_{4,3,2,1,1} -42250S_{6,3,1,1} -67478S_{6,3,2} -91134S_{6,4,1} -48944S_{6,5} -175570S_{7,3,1} -122020S_{7,4} -229824S_{8,3} +71S_{4,2,2,1,1,1} +154S_{5,2,1,1,1,1} -1929S_{5,2,2,1,1} -3125S_{5,2,2,2} +120S_{6,1,1,1,1,1} -3936S_{6,2,1,1,1} -25081S_{6,2,2,1} -2760S_{7,1,1,1,1} -59442S_{7,2,1,1} -75609S_{7,2,2} -45480S_{8,1,1,1} -251020S_{8,2,1} -215880S_{9,1,1} -356076S_{9,2} -412800S_{10,1})T^11 +(71S_{4,2,2,1,1} +14S_{3,2,2,2,1} +35S_{3,3,2,1,1} +56S_{3,3,2,2} +70S_{3,3,3,1} +125S_{4,2,2,2} +92S_{4,3,1,1,1} +573S_{4,3,2,1} +381S_{4,3,3} +430S_{4,4,1,1} +783S_{4,4,2} +1326S_{5,3,1,1} +2232S_{5,3,2} +2850S_{5,4,1} +1432S_{5,5} +6146S_{6,3,1} +4880S_{6,4} +9524S_{7,3} +14400S_{10} +S_{2,2,2,2,2} +154S_{5,2,1,1,1} +840S_{5,2,2,1} +120S_{6,1,1,1,1} +2036S_{6,2,1,1} +2885S_{6,2,2} +1680S_{7,1,1,1} +9254S_{7,2,1} +8520S_{8,1,1} +15196S_{8,2} +18480S_{9,1})T^10
Local algebra C[x,y]/(x^2,xy,y^4)
Thom-Boardman class \Sigma^{2,0}
Codimension 10
SSM-Thom polynomial in Chern classes T^10( -6c_{1}^2c_{2}c_{6} +9c_{1}^2c_{3}c_{5} -3c_{1}^2c_{4}^2 -5c_{1}c_{2}^2c_{5} +2c_{1}c_{2}c_{3}c_{4} +3c_{1}c_{3}^3 -2c_{2}^3c_{4} +2c_{2}^2c_{3}^2 -30c_{1}c_{2}c_{7} +43c_{1}c_{3}c_{6} -13c_{1}c_{4}c_{5} -13c_{2}^2c_{6} +13c_{2}c_{3}c_{5} -9c_{2}c_{4}^2 +9c_{3}^2c_{4} -36c_{2}c_{8} +50c_{3}c_{7} -12c_{4}c_{6} -2c_{5}^2) +T^11(30c_{1}^3c_{2}c_{6} -45c_{1}^3c_{3}c_{5} +15c_{1}^3c_{4}^2 +25c_{1}^2c_{2}^2c_{5} -10c_{1}^2c_{2}c_{3}c_{4} -15c_{1}^2c_{3}^3 +10c_{1}c_{2}^3c_{4} -10c_{1}c_{2}^2c_{3}^2 +240c_{1}^2c_{2}c_{7} -328c_{1}^2c_{3}c_{6} +88c_{1}^2c_{4}c_{5} +140c_{1}c_{2}^2c_{6} -120c_{1}c_{2}c_{3}c_{5} +74c_{1}c_{2}c_{4}^2 -94c_{1}c_{3}^2c_{4} +18c_{2}^3c_{5} -2c_{2}^2c_{3}c_{4} -16c_{2}c_{3}^3 +630c_{1}c_{2}c_{8} -793c_{1}c_{3}c_{7} +102c_{1}c_{4}c_{6} +61c_{1}c_{5}^2 +195c_{2}^2c_{7} -156c_{2}c_{3}c_{6} +104c_{2}c_{4}c_{5} -108c_{3}^2c_{5} -35c_{3}c_{4}^2 +540c_{2}c_{9} -634c_{3}c_{8} +26c_{4}c_{7} +68c_{5}c_{6}) +T^12( -90c_{1}^4c_{2}c_{6} +135c_{1}^4c_{3}c_{5} -45c_{1}^4c_{4}^2 -75c_{1}^3c_{2}^2c_{5} +30c_{1}^3c_{2}c_{3}c_{4} +45c_{1}^3c_{3}^3 -30c_{1}^2c_{2}^3c_{4} +30c_{1}^2c_{2}^2c_{3}^2 -960c_{1}^3c_{2}c_{7} +1280c_{1}^3c_{3}c_{6} -320c_{1}^3c_{4}c_{5} -596c_{1}^2c_{2}^2c_{6} +463c_{1}^2c_{2}c_{3}c_{5} -279c_{1}^2c_{2}c_{4}^2 +412c_{1}^2c_{3}^2c_{4} -83c_{1}c_{2}^3c_{5} +6c_{1}c_{2}^2c_{3}c_{4} +77c_{1}c_{2}c_{3}^3 +8c_{2}^4c_{4} -8c_{2}^3c_{3}^2 -3900c_{1}^2c_{2}c_{8} +4660c_{1}^2c_{3}c_{7} -351c_{1}^2c_{4}c_{6} -409c_{1}^2c_{5}^2 -1660c_{1}c_{2}^2c_{7} +1134c_{1}c_{2}c_{3}c_{6} -748c_{1}c_{2}c_{4}c_{5} +926c_{1}c_{3}^2c_{5} +348c_{1}c_{3}c_{4}^2 -91c_{2}^3c_{6} -30c_{2}^2c_{3}c_{5} -9c_{2}^2c_{4}^2 +109c_{2}c_{3}^2c_{4} +21c_{3}^4 -7110c_{1}c_{2}c_{9} +7713c_{1}c_{3}c_{8} +288c_{1}c_{4}c_{7} -891c_{1}c_{5}c_{6} -1611c_{2}^2c_{8} +886c_{2}c_{3}c_{7} -303c_{2}c_{4}c_{6} -307c_{2}c_{5}^2 +808c_{3}^2c_{6} +489c_{3}c_{4}c_{5} +38c_{4}^3 -4860c_{2}c_{10} +4866c_{3}c_{9} +566c_{4}c_{8} -354c_{5}c_{7} -218c_{6}^2)
SSM-Thom polynomial in Schur functions T^10(2s_{3,3,2,2} +5s_{3,3,3,1} +12s_{4,3,2,1} +24s_{4,3,3} +4s_{4,4,1,1} +12s_{4,4,2} +16s_{5,3,1,1} +50s_{5,3,2} +28s_{5,4,1} +8s_{5,5} +84s_{6,3,1} +40s_{6,4} +104s_{7,3}) +T^11( -10s_{3,3,2,2,1} -25s_{3,3,3,1,1} -51s_{3,3,3,2} -60s_{4,3,2,1,1} -104s_{4,3,2,2} -304s_{4,3,3,1} -20s_{4,4,1,1,1} -212s_{4,4,2,1} -336s_{4,4,3} -80s_{5,3,1,1,1} -582s_{5,3,2,1} -770s_{5,3,3} -364s_{5,4,1,1} -844s_{5,4,2} -344s_{5,5,1} -748s_{6,3,1,1} -1448s_{6,3,2} -1488s_{6,4,1} -528s_{6,5} -2224s_{7,3,1} -1680s_{7,4} -2096s_{8,3}) +T^12(31528s_{8,3,1} +28896s_{8,4} +24352s_{9,3} +3256s_{6,6} +14876s_{7,3,1,1} +22724s_{7,3,2} +32088s_{7,4,1} +14280s_{7,5} +6262s_{5,5,2} +3080s_{6,3,1,1,1} +12726s_{6,3,2,1} +12961s_{6,3,3} +11892s_{6,4,1,1} +20754s_{6,4,2} +13080s_{6,5,1} +240s_{5,3,1,1,1,1} +2564s_{5,3,2,1,1} +2732s_{5,3,2,2} +7375s_{5,3,3,1} +1656s_{5,4,1,1,1} +8782s_{5,4,2,1} +10434s_{5,4,3} +3196s_{5,5,1,1} +556s_{4,3,2,2,1} +1360s_{4,3,3,1,1} +1805s_{4,3,3,2} +60s_{4,4,1,1,1,1} +1012s_{4,4,2,1,1} +1284s_{4,4,2,2} +3690s_{4,4,3,1} +1692s_{4,4,4} +271s_{3,3,3,2,1} +195s_{3,3,3,3} +180s_{4,3,2,1,1,1} +30s_{3,3,2,2,1,1} +22s_{3,3,2,2,2} +75s_{3,3,3,1,1,1})
SSM-Thom polynomial in Schur-tilde functions (3972S_{7,3,1,1} +7842S_{7,3,2} +11212S_{7,4,1} +3976S_{7,5} +12192S_{8,3,1} +10152S_{8,4} +9232S_{9,3} +22S_{4,3,2,2,1} +63S_{4,3,3,1,1} +294S_{4,3,3,2} +56S_{4,4,2,1,1} +218S_{4,4,2,2} +851S_{4,4,3,1} +312S_{4,4,4} +126S_{5,3,2,1,1} +436S_{5,3,2,2} +1801S_{5,3,3,1} +96S_{5,4,1,1,1} +2246S_{5,4,2,1} +3084S_{5,4,3} +660S_{5,5,1,1} +1558S_{5,5,2} +164S_{6,3,1,1,1} +3408S_{6,3,2,1} +3919S_{6,3,3} +3020S_{6,4,1,1} +6688S_{6,4,2} +3644S_{6,5,1} +648S_{6,6} +9S_{3,3,3,2,1} +13S_{3,3,3,3})T^12 +( -152S_{5,4,1,1} -422S_{5,4,2} -152S_{5,5,1} -316S_{6,3,1,1} -812S_{6,3,2} -780S_{6,4,1} -240S_{6,5} -1324S_{7,3,1} -880S_{7,4} -1264S_{8,3} -16S_{3,3,3,2} -36S_{4,3,2,2} -128S_{4,3,3,1} -88S_{4,4,2,1} -156S_{4,4,3} -258S_{5,3,2,1} -400S_{5,3,3})T^11 +(4S_{4,4,1,1} +12S_{4,4,2} +16S_{5,3,1,1} +50S_{5,3,2} +28S_{5,4,1} +8S_{5,5} +84S_{6,3,1} +40S_{6,4} +104S_{7,3} +5S_{3,3,3,1} +12S_{4,3,2,1} +24S_{4,3,3} +2S_{3,3,2,2})T^10
Local algebra C[x,y]/(x^3,xy,y^3)
Thom-Boardman class \Sigma^{2,0}
Codimension 10
SSM-Thom polynomial in Chern classes T^10( -3c_{1}^2c_{3}c_{5} +3c_{1}^2c_{4}^2 -2c_{1}c_{2}^2c_{5} +3c_{1}c_{2}c_{3}c_{4} -c_{1}c_{3}^3 -c_{2}^3c_{4} +c_{2}^2c_{3}^2 -7c_{1}c_{3}c_{6} +7c_{1}c_{4}c_{5} -4c_{2}^2c_{6} +8c_{2}c_{3}c_{5} -2c_{2}c_{4}^2 -2c_{3}^2c_{4} -2c_{3}c_{7} -9c_{4}c_{6} +11c_{5}^2) +T^11(15c_{1}^3c_{3}c_{5} -15c_{1}^3c_{4}^2 +10c_{1}^2c_{2}^2c_{5} -15c_{1}^2c_{2}c_{3}c_{4} +5c_{1}^2c_{3}^3 +5c_{1}c_{2}^3c_{4} -5c_{1}c_{2}^2c_{3}^2 +62c_{1}^2c_{3}c_{6} -62c_{1}^2c_{4}c_{5} +36c_{1}c_{2}^2c_{6} -42c_{1}c_{2}c_{3}c_{5} -9c_{1}c_{2}c_{4}^2 +15c_{1}c_{3}^2c_{4} +8c_{2}^3c_{5} -5c_{2}^2c_{3}c_{4} -3c_{2}c_{3}^3 +75c_{1}c_{3}c_{7} +36c_{1}c_{4}c_{6} -111c_{1}c_{5}^2 +32c_{2}^2c_{7} -23c_{2}c_{3}c_{6} -19c_{2}c_{4}c_{5} -9c_{3}^2c_{5} +19c_{3}c_{4}^2 +22c_{3}c_{8} +85c_{4}c_{7} -107c_{5}c_{6}) +T^12( -45c_{1}^4c_{3}c_{5} +45c_{1}^4c_{4}^2 -30c_{1}^3c_{2}^2c_{5} +45c_{1}^3c_{2}c_{3}c_{4} -15c_{1}^3c_{3}^3 -15c_{1}^2c_{2}^3c_{4} +15c_{1}^2c_{2}^2c_{3}^2 -260c_{1}^3c_{3}c_{6} +260c_{1}^3c_{4}c_{5} -152c_{1}^2c_{2}^2c_{6} +144c_{1}^2c_{2}c_{3}c_{5} +67c_{1}^2c_{2}c_{4}^2 -59c_{1}^2c_{3}^2c_{4} -38c_{1}c_{2}^3c_{5} +17c_{1}c_{2}^2c_{3}c_{4} +21c_{1}c_{2}c_{3}^3 +4c_{2}^4c_{4} -4c_{2}^3c_{3}^2 -562c_{1}^2c_{3}c_{7} -27c_{1}^2c_{4}c_{6} +589c_{1}^2c_{5}^2 -268c_{1}c_{2}^2c_{7} +87c_{1}c_{2}c_{3}c_{6} +248c_{1}c_{2}c_{4}c_{5} +44c_{1}c_{3}^2c_{5} -111c_{1}c_{3}c_{4}^2 -26c_{2}^3c_{6} -46c_{2}^2c_{3}c_{5} +35c_{2}^2c_{4}^2 +33c_{2}c_{3}^2c_{4} +4c_{3}^4 -519c_{1}c_{3}c_{8} -650c_{1}c_{4}c_{7} +1169c_{1}c_{5}c_{6} -168c_{2}^2c_{8} -27c_{2}c_{3}c_{7} +147c_{2}c_{4}c_{6} +66c_{2}c_{5}^2 +66c_{3}^2c_{6} -51c_{3}c_{4}c_{5} -33c_{4}^3 -150c_{3}c_{9} -533c_{4}c_{8} +285c_{5}c_{7} +398c_{6}^2)
SSM-Thom polynomial in Schur functions T^10(s_{3,3,2,2} +3s_{4,3,2,1} +6s_{4,4,1,1} +3s_{4,4,2} +2s_{5,3,1,1} +7s_{5,3,2} +20s_{5,4,1} +28s_{5,5} +6s_{6,3,1} +16s_{6,4} +4s_{7,3}) +T^11( -5s_{3,3,2,2,1} -8s_{3,3,3,2} -15s_{4,3,2,1,1} -31s_{4,3,2,2} -24s_{4,3,3,1} -30s_{4,4,1,1,1} -93s_{4,4,2,1} -24s_{4,4,3} -10s_{5,3,1,1,1} -93s_{5,3,2,1} -56s_{5,3,3} -216s_{5,4,1,1} -260s_{5,4,2} -424s_{5,5,1} -62s_{6,3,1,1} -142s_{6,3,2} -460s_{6,4,1} -608s_{6,5} -116s_{7,3,1} -296s_{7,4} -64s_{8,3}) +T^12(1250s_{8,3,1} +3100s_{8,4} +596s_{9,3} +4584s_{6,6} +892s_{7,3,1,1} +1621s_{7,3,2} +5698s_{7,4,1} +7264s_{7,5} +3293s_{5,5,2} +268s_{6,3,1,1,1} +1404s_{6,3,2,1} +1043s_{6,3,3} +3602s_{6,4,1,1} +4694s_{6,4,2} +8710s_{6,5,1} +30s_{5,3,1,1,1,1} +424s_{5,3,2,1,1} +523s_{5,3,2,2} +744s_{5,3,3,1} +944s_{5,4,1,1,1} +2899s_{5,4,2,1} +1570s_{5,4,3} +2906s_{5,5,1,1} +167s_{4,3,2,2,1} +129s_{4,3,3,1,1} +272s_{4,3,3,2} +90s_{4,4,1,1,1,1} +468s_{4,4,2,1,1} +528s_{4,4,2,2} +600s_{4,4,3,1} +105s_{4,4,4} +43s_{3,3,3,2,1} +36s_{3,3,3,3} +45s_{4,3,2,1,1,1} +15s_{3,3,2,2,1,1} +11s_{3,3,2,2,2})
SSM-Thom polynomial in Schur-tilde functions (222S_{7,3,1,1} +504S_{7,3,2} +2010S_{7,4,1} +2540S_{7,5} +390S_{8,3,1} +1016S_{8,4} +164S_{9,3} +8S_{4,3,2,2,1} +6S_{4,3,3,1,1} +56S_{4,3,3,2} +24S_{4,4,2,1,1} +98S_{4,4,2,2} +120S_{4,4,3,1} +12S_{4,4,4} +24S_{5,3,2,1,1} +98S_{5,3,2,2} +164S_{5,3,3,1} +56S_{5,4,1,1,1} +779S_{5,4,2,1} +350S_{5,4,3} +688S_{5,5,1,1} +890S_{5,5,2} +16S_{6,3,1,1,1} +372S_{6,3,2,1} +272S_{6,3,3} +974S_{6,4,1,1} +1534S_{6,4,2} +3126S_{6,5,1} +1408S_{6,6} +2S_{3,3,3,2,1} +5S_{3,3,3,3})T^12 +( -96S_{5,4,1,1} -130S_{5,4,2} -220S_{5,5,1} -26S_{6,3,1,1} -76S_{6,3,2} -262S_{6,4,1} -344S_{6,5} -62S_{7,3,1} -164S_{7,4} -32S_{8,3} -3S_{3,3,3,2} -12S_{4,3,2,2} -9S_{4,3,3,1} -42S_{4,4,2,1} -9S_{4,4,3} -42S_{5,3,2,1} -21S_{5,3,3})T^11 +(6S_{4,4,1,1} +3S_{4,4,2} +2S_{5,3,1,1} +7S_{5,3,2} +20S_{5,4,1} +28S_{5,5} +6S_{6,3,1} +16S_{6,4} +4S_{7,3} +3S_{4,3,2,1} +S_{3,3,2,2})T^10

codimension 11

Local algebra C[x,y]/(xy,x^2+y^4)
Thom-Boardman class \Sigma^{2,0}
Codimension 11
SSM-Thom polynomial in Chern classes T^11( -6c_{1}^3c_{2}c_{6} +9c_{1}^3c_{3}c_{5} -3c_{1}^3c_{4}^2 -5c_{1}^2c_{2}^2c_{5} +2c_{1}^2c_{2}c_{3}c_{4} +3c_{1}^2c_{3}^3 -2c_{1}c_{2}^3c_{4} +2c_{1}c_{2}^2c_{3}^2 -54c_{1}^2c_{2}c_{7} +67c_{1}^2c_{3}c_{6} -13c_{1}^2c_{4}c_{5} -33c_{1}c_{2}^2c_{6} +19c_{1}c_{2}c_{3}c_{5} -7c_{1}c_{2}c_{4}^2 +21c_{1}c_{3}^2c_{4} -6c_{2}^3c_{5} +4c_{2}^2c_{3}c_{4} +2c_{2}c_{3}^3 -156c_{1}c_{2}c_{8} +162c_{1}c_{3}c_{7} +24c_{1}c_{4}c_{6} -30c_{1}c_{5}^2 -52c_{2}^2c_{7} +28c_{2}c_{3}c_{6} -12c_{2}c_{4}c_{5} +16c_{3}^2c_{5} +20c_{3}c_{4}^2 -144c_{2}c_{9} +128c_{3}c_{8} +52c_{4}c_{7} -36c_{5}c_{6}) +T^12(30c_{1}^4c_{2}c_{6} -45c_{1}^4c_{3}c_{5} +15c_{1}^4c_{4}^2 +25c_{1}^3c_{2}^2c_{5} -10c_{1}^3c_{2}c_{3}c_{4} -15c_{1}^3c_{3}^3 +10c_{1}^2c_{2}^3c_{4} -10c_{1}^2c_{2}^2c_{3}^2 +384c_{1}^3c_{2}c_{7} -472c_{1}^3c_{3}c_{6} +88c_{1}^3c_{4}c_{5} +272c_{1}^2c_{2}^2c_{6} -174c_{1}^2c_{2}c_{3}c_{5} +68c_{1}^2c_{2}c_{4}^2 -166c_{1}^2c_{3}^2c_{4} +64c_{1}c_{2}^3c_{5} -30c_{1}c_{2}^2c_{3}c_{4} -34c_{1}c_{2}c_{3}^3 +4c_{2}^4c_{4} -4c_{2}^3c_{3}^2 +1806c_{1}^2c_{2}c_{8} -1865c_{1}^2c_{3}c_{7} -210c_{1}^2c_{4}c_{6} +269c_{1}^2c_{5}^2 +947c_{1}c_{2}^2c_{7} -572c_{1}c_{2}c_{3}c_{6} +232c_{1}c_{2}c_{4}c_{5} -342c_{1}c_{3}^2c_{5} -265c_{1}c_{3}c_{4}^2 +112c_{2}^3c_{6} -30c_{2}^2c_{3}c_{5} +16c_{2}^2c_{4}^2 -92c_{2}c_{3}^2c_{4} -6c_{3}^4 +3684c_{1}c_{2}c_{9} -3290c_{1}c_{3}c_{8} -998c_{1}c_{4}c_{7} +604c_{1}c_{5}c_{6} +1060c_{2}^2c_{8} -528c_{2}c_{3}c_{7} +20c_{2}c_{4}c_{6} +172c_{2}c_{5}^2 -320c_{3}^2c_{6} -344c_{3}c_{4}c_{5} -60c_{4}^3 +2736c_{2}c_{10} -2176c_{3}c_{9} -932c_{4}c_{8} +160c_{5}c_{7} +212c_{6}^2)
SSM-Thom polynomial in Schur functions T^11(2s_{3,3,2,2,1} +5s_{3,3,3,1,1} +9s_{3,3,3,2} +12s_{4,3,2,1,1} +22s_{4,3,2,2} +63s_{4,3,3,1} +4s_{4,4,1,1,1} +56s_{4,4,2,1} +96s_{4,4,3} +16s_{5,3,1,1,1} +126s_{5,3,2,1} +172s_{5,3,3} +96s_{5,4,1,1} +242s_{5,4,2} +100s_{5,5,1} +164s_{6,3,1,1} +334s_{6,3,2} +432s_{6,4,1} +160s_{6,5} +524s_{7,3,1} +512s_{7,4} +520s_{8,3}) +T^12( -15712s_{8,3,1} -16656s_{8,4} -12784s_{9,3} -2096s_{6,6} -6828s_{7,3,1,1} -11304s_{7,3,2} -17960s_{7,4,1} -9136s_{7,5} -3824s_{5,5,2} -1244s_{6,3,1,1,1} -5946s_{6,3,2,1} -6358s_{6,3,3} -6320s_{6,4,1,1} -11512s_{6,4,2} -8048s_{6,5,1} -80s_{5,3,1,1,1,1} -1066s_{5,3,2,1,1} -1322s_{5,3,2,2} -3390s_{5,3,3,1} -792s_{5,4,1,1,1} -4658s_{5,4,2,1} -5696s_{5,4,3} -1820s_{5,5,1,1} -250s_{4,3,2,2,1} -555s_{4,3,3,1,1} -829s_{4,3,3,2} -20s_{4,4,1,1,1,1} -492s_{4,4,2,1,1} -668s_{4,4,2,2} -1894s_{4,4,3,1} -972s_{4,4,4} -112s_{3,3,3,2,1} -79s_{3,3,3,3} -60s_{4,3,2,1,1,1} -10s_{3,3,2,2,1,1} -14s_{3,3,2,2,2} -25s_{3,3,3,1,1,1})
SSM-Thom polynomial in Schur-tilde functions ( -3584S_{7,3,1,1} -6870S_{7,3,2} -10780S_{7,4,1} -4944S_{7,5} -9960S_{8,3,1} -9960S_{8,4} -8104S_{9,3} +12S_{4,3,2,1,1,1} -72S_{4,3,2,2,1} -160S_{4,3,3,1,1} -368S_{4,3,3,2} +4S_{4,4,1,1,1,1} -136S_{4,4,2,1,1} -278S_{4,4,2,2} -915S_{4,4,3,1} -396S_{4,4,4} +16S_{5,3,1,1,1,1} -312S_{5,3,2,1,1} -582S_{5,3,2,2} -1757S_{5,3,3,1} -212S_{5,4,1,1,1} -2396S_{5,4,2,1} -3146S_{5,4,3} -844S_{5,5,1,1} -1972S_{5,5,2} -328S_{6,3,1,1,1} -3198S_{6,3,2,1} -3656S_{6,3,3} -3196S_{6,4,1,1} -6662S_{6,4,2} -4376S_{6,5,1} -976S_{6,6} +2S_{3,3,2,2,1,1} -2S_{3,3,2,2,2} +5S_{3,3,3,1,1,1} -32S_{3,3,3,2,1} -25S_{3,3,3,3})T^12 +(2S_{3,3,2,2,1} +9S_{3,3,3,2} +12S_{4,3,2,1,1} +22S_{4,3,2,2} +63S_{4,3,3,1} +4S_{4,4,1,1,1} +56S_{4,4,2,1} +96S_{4,4,3} +16S_{5,3,1,1,1} +126S_{5,3,2,1} +172S_{5,3,3} +96S_{5,4,1,1} +242S_{5,4,2} +100S_{5,5,1} +164S_{6,3,1,1} +334S_{6,3,2} +432S_{6,4,1} +160S_{6,5} +524S_{7,3,1} +512S_{7,4} +520S_{8,3} +5S_{3,3,3,1,1})T^11
Local algebra C[x,y]/(xy,x^3+y^3)
Thom-Boardman class \Sigma^{2,0}
Codimension 11
SSM-Thom polynomial in Chern classes T^11( -3c_{1}^3c_{3}c_{5} +3c_{1}^3c_{4}^2 -2c_{1}^2c_{2}^2c_{5} +3c_{1}^2c_{2}c_{3}c_{4} -c_{1}^2c_{3}^3 -c_{1}c_{2}^3c_{4} +c_{1}c_{2}^2c_{3}^2 -17c_{1}^2c_{3}c_{6} +17c_{1}^2c_{4}c_{5} -10c_{1}c_{2}^2c_{6} +9c_{1}c_{2}c_{3}c_{5} +5c_{1}c_{2}c_{4}^2 -4c_{1}c_{3}^2c_{4} -3c_{2}^3c_{5} +2c_{2}^2c_{3}c_{4} +c_{2}c_{3}^3 -26c_{1}c_{3}c_{7} -6c_{1}c_{4}c_{6} +32c_{1}c_{5}^2 -12c_{2}^2c_{7} +9c_{2}c_{3}c_{6} +7c_{2}c_{4}c_{5} +3c_{3}^2c_{5} -7c_{3}c_{4}^2 -8c_{3}c_{8} -32c_{4}c_{7} +40c_{5}c_{6}) +T^12(15c_{1}^4c_{3}c_{5} -15c_{1}^4c_{4}^2 +10c_{1}^3c_{2}^2c_{5} -15c_{1}^3c_{2}c_{3}c_{4} +5c_{1}^3c_{3}^3 +5c_{1}^2c_{2}^3c_{4} -5c_{1}^2c_{2}^2c_{3}^2 +122c_{1}^3c_{3}c_{6} -122c_{1}^3c_{4}c_{5} +72c_{1}^2c_{2}^2c_{6} -42c_{1}^2c_{2}c_{3}c_{5} -57c_{1}^2c_{2}c_{4}^2 +27c_{1}^2c_{3}^2c_{4} +30c_{1}c_{2}^3c_{5} -23c_{1}c_{2}^2c_{3}c_{4} -7c_{1}c_{2}c_{3}^3 +2c_{2}^4c_{4} -2c_{2}^3c_{3}^2 +341c_{1}^2c_{3}c_{7} -36c_{1}^2c_{4}c_{6} -305c_{1}^2c_{5}^2 +170c_{1}c_{2}^2c_{7} -18c_{1}c_{2}c_{3}c_{6} -196c_{1}c_{2}c_{4}c_{5} -15c_{1}c_{3}^2c_{5} +59c_{1}c_{3}c_{4}^2 +41c_{2}^3c_{6} -11c_{2}^2c_{3}c_{5} -13c_{2}^2c_{4}^2 -15c_{2}c_{3}^2c_{4} -2c_{3}^4 +370c_{1}c_{3}c_{8} +382c_{1}c_{4}c_{7} -752c_{1}c_{5}c_{6} +132c_{2}^2c_{8} +7c_{2}c_{3}c_{7} -46c_{2}c_{4}c_{6} -113c_{2}c_{5}^2 -35c_{3}^2c_{6} +27c_{3}c_{4}c_{5} +28c_{4}^3 +112c_{3}c_{9} +412c_{4}c_{8} -256c_{5}c_{7} -268c_{6}^2)
SSM-Thom polynomial in Schur functions T^11(s_{3,3,2,2,1} +2s_{3,3,3,2} +3s_{4,3,2,1,1} +8s_{4,3,2,2} +6s_{4,3,3,1} +6s_{4,4,1,1,1} +24s_{4,4,2,1} +6s_{4,4,3} +2s_{5,3,1,1,1} +24s_{5,3,2,1} +14s_{5,3,3} +56s_{5,4,1,1} +70s_{5,4,2} +116s_{5,5,1} +16s_{6,3,1,1} +41s_{6,3,2} +134s_{6,4,1} +188s_{6,5} +34s_{7,3,1} +92s_{7,4} +20s_{8,3}) +T^12( -776s_{8,3,1} -2008s_{8,4} -392s_{9,3} -2752s_{6,6} -498s_{7,3,1,1} -996s_{7,3,2} -3488s_{7,4,1} -4656s_{7,5} -1930s_{5,5,2} -124s_{6,3,1,1,1} -789s_{6,3,2,1} -597s_{6,3,3} -2002s_{6,4,1,1} -2742s_{6,4,2} -5112s_{6,5,1} -10s_{5,3,1,1,1,1} -200s_{5,3,2,1,1} -298s_{5,3,2,2} -400s_{5,3,3,1} -440s_{5,4,1,1,1} -1576s_{5,4,2,1} -910s_{5,4,3} -1512s_{5,5,1,1} -83s_{4,3,2,2,1} -63s_{4,3,3,1,1} -144s_{4,3,3,2} -30s_{4,4,1,1,1,1} -228s_{4,4,2,1,1} -272s_{4,4,2,2} -336s_{4,4,3,1} -60s_{4,4,4} -21s_{3,3,3,2,1} -16s_{3,3,3,3} -15s_{4,3,2,1,1,1} -5s_{3,3,2,2,1,1} -7s_{3,3,2,2,2})
SSM-Thom polynomial in Schur-tilde functions ( -250S_{7,3,1,1} -573S_{7,3,2} -2104S_{7,4,1} -2788S_{7,5} -444S_{8,3,1} -1172S_{8,4} -212S_{9,3} +3S_{4,3,2,1,1,1} -24S_{4,3,2,2,1} -18S_{4,3,3,1,1} -66S_{4,3,3,2} +6S_{4,4,1,1,1,1} -69S_{4,4,2,1,1} -112S_{4,4,2,2} -162S_{4,4,3,1} -24S_{4,4,4} +2S_{5,3,1,1,1,1} -57S_{5,3,2,1,1} -138S_{5,3,2,2} -194S_{5,3,3,1} -120S_{5,4,1,1,1} -832S_{5,4,2,1} -460S_{5,4,3} -712S_{5,5,1,1} -1046S_{5,5,2} -32S_{6,3,1,1,1} -417S_{6,3,2,1} -308S_{6,3,3} -1050S_{6,4,1,1} -1581S_{6,4,2} -3048S_{6,5,1} -1436S_{6,6} +S_{3,3,2,2,1,1} -S_{3,3,2,2,2} -6S_{3,3,3,2,1} -4S_{3,3,3,3})T^12 +(S_{3,3,2,2,1} +2S_{3,3,3,2} +3S_{4,3,2,1,1} +8S_{4,3,2,2} +6S_{4,3,3,1} +6S_{4,4,1,1,1} +24S_{4,4,2,1} +6S_{4,4,3} +2S_{5,3,1,1,1} +24S_{5,3,2,1} +14S_{5,3,3} +56S_{5,4,1,1} +70S_{5,4,2} +116S_{5,5,1} +16S_{6,3,1,1} +41S_{6,3,2} +134S_{6,4,1} +188S_{6,5} +34S_{7,3,1} +92S_{7,4} +20S_{8,3})T^11
Local algebra C[x,y]/(x^2,xy^2,y^3)
Thom-Boardman class \Sigma^{2,1,0}
Codimension 11
SSM-Thom polynomial in Chern classes T^11( -2c_{1}^2c_{3}c_{6} +2c_{1}^2c_{4}c_{5} -4c_{1}c_{2}c_{3}c_{5} +2c_{1}c_{2}c_{4}^2 +2c_{1}c_{3}^2c_{4} -2c_{2}^2c_{3}c_{4} +2c_{2}c_{3}^3 -6c_{1}c_{3}c_{7} +6c_{1}c_{4}c_{6} -6c_{2}c_{3}c_{6} +2c_{2}c_{4}c_{5} +6c_{3}^2c_{5} -2c_{3}c_{4}^2 -4c_{3}c_{8} +2c_{4}c_{7} +2c_{5}c_{6}) +T^12(10c_{1}^3c_{3}c_{6} -10c_{1}^3c_{4}c_{5} +20c_{1}^2c_{2}c_{3}c_{5} -10c_{1}^2c_{2}c_{4}^2 -10c_{1}^2c_{3}^2c_{4} +10c_{1}c_{2}^2c_{3}c_{4} -10c_{1}c_{2}c_{3}^3 +52c_{1}^2c_{3}c_{7} -48c_{1}^2c_{4}c_{6} -4c_{1}^2c_{5}^2 +68c_{1}c_{2}c_{3}c_{6} -26c_{1}c_{2}c_{4}c_{5} -42c_{1}c_{3}^2c_{5} +16c_{2}^2c_{3}c_{5} -10c_{2}c_{3}^2c_{4} -6c_{3}^4 +86c_{1}c_{3}c_{8} -52c_{1}c_{4}c_{7} -34c_{1}c_{5}c_{6} +60c_{2}c_{3}c_{7} -8c_{2}c_{4}c_{6} -8c_{2}c_{5}^2 -32c_{3}^2c_{6} -20c_{3}c_{4}c_{5} +8c_{4}^3 +44c_{3}c_{9} -2c_{4}c_{8} -44c_{5}c_{7} +2c_{6}^2)
SSM-Thom polynomial in Schur functions T^11(2s_{3,3,3,2} +2s_{4,3,2,2} +6s_{4,3,3,1} +6s_{4,4,2,1} +6s_{4,4,3} +6s_{5,3,2,1} +14s_{5,3,3} +8s_{5,4,1,1} +20s_{5,4,2} +16s_{5,5,1} +4s_{6,3,1,1} +14s_{6,3,2} +28s_{6,4,1} +24s_{6,5} +12s_{7,3,1} +24s_{7,4} +8s_{8,3}) +T^12( -232s_{8,3,1} -464s_{8,4} -128s_{9,3} -288s_{6,6} -124s_{7,3,1,1} -284s_{7,3,2} -688s_{7,4,1} -624s_{7,5} -328s_{5,5,2} -20s_{6,3,1,1,1} -186s_{6,3,2,1} -300s_{6,3,3} -308s_{6,4,1,1} -612s_{6,4,2} -680s_{6,5,1} -30s_{5,3,2,1,1} -62s_{5,3,2,2} -202s_{5,3,3,1} -40s_{5,4,1,1,1} -308s_{5,4,2,1} -360s_{5,4,3} -184s_{5,5,1,1} -10s_{4,3,2,2,1} -30s_{4,3,3,1,1} -78s_{4,3,3,2} -30s_{4,4,2,1,1} -62s_{4,4,2,2} -138s_{4,4,3,1} -48s_{4,4,4} -10s_{3,3,3,2,1} -16s_{3,3,3,3})
SSM-Thom polynomial in Schur-tilde functions ( -56S_{9,3} -136S_{5,4,2,1} -160S_{5,4,3} -72S_{5,5,1,1} -144S_{5,5,2} -78S_{6,3,2,1} -128S_{6,4,1,1} -310S_{6,4,2} -344S_{6,5,1} -120S_{6,6} -48S_{7,3,1,1} -138S_{7,3,2} -360S_{7,4,1} -312S_{7,5} -112S_{8,3,1} -232S_{8,4} -30S_{4,3,3,2} -22S_{4,4,2,2} -54S_{4,4,3,1} -12S_{4,4,4} -22S_{5,3,2,2} -86S_{5,3,3,1} -146S_{6,3,3} -4S_{3,3,3,3})T^12 +(8S_{5,4,1,1} +20S_{5,4,2} +16S_{5,5,1} +4S_{6,3,1,1} +14S_{6,3,2} +28S_{6,4,1} +24S_{6,5} +12S_{7,3,1} +24S_{7,4} +8S_{8,3} +2S_{3,3,3,2} +2S_{4,3,2,2} +6S_{4,3,3,1} +6S_{4,4,2,1} +6S_{4,4,3} +6S_{5,3,2,1} +14S_{5,3,3})T^11

codimension 12

Local algebra C[x]/(x^7)
Thom-Boardman class \Sigma^{1,1,1,1,1,1,0}
Codimension 12
SSM-Thom polynomial in Chern classes T^12(120c_{1}^5c_{7} +202c_{1}^4c_{2}c_{6} +55c_{1}^4c_{3}c_{5} +17c_{1}^4c_{4}^2 +141c_{1}^3c_{2}^2c_{5} +79c_{1}^3c_{2}c_{3}c_{4} +5c_{1}^3c_{3}^3 +55c_{1}^2c_{2}^3c_{4} +30c_{1}^2c_{2}^2c_{3}^2 +15c_{1}c_{2}^4c_{3} +c_{2}^6 +2400c_{1}^4c_{8} +3272c_{1}^3c_{2}c_{7} +884c_{1}^3c_{3}c_{6} +450c_{1}^3c_{4}c_{5} +1704c_{1}^2c_{2}^2c_{6} +861c_{1}^2c_{2}c_{3}c_{5} +280c_{1}^2c_{2}c_{4}^2 +109c_{1}^2c_{3}^2c_{4} +425c_{1}c_{2}^3c_{5} +315c_{1}c_{2}^2c_{3}c_{4} +30c_{1}c_{2}c_{3}^3 +50c_{2}^4c_{4} +20c_{2}^3c_{3}^2 +18600c_{1}^3c_{9} +19358c_{1}^2c_{2}c_{8} +5393c_{1}^2c_{3}c_{7} +2594c_{1}^2c_{4}c_{6} +919c_{1}^2c_{5}^2 +6737c_{1}c_{2}^2c_{7} +3354c_{1}c_{2}c_{3}c_{6} +1890c_{1}c_{2}c_{4}c_{5} +378c_{1}c_{3}^2c_{5} +269c_{1}c_{3}c_{4}^2 +818c_{2}^3c_{6} +514c_{2}^2c_{3}c_{5} +247c_{2}^2c_{4}^2 +126c_{2}c_{3}^2c_{4} +3c_{3}^4 +69600c_{1}^2c_{10} +49432c_{1}c_{2}c_{9} +14544c_{1}c_{3}c_{8} +7012c_{1}c_{4}c_{7} +3868c_{1}c_{5}c_{6} +8686c_{2}^2c_{8} +4506c_{2}c_{3}c_{7} +2496c_{2}c_{4}c_{6} +706c_{2}c_{5}^2 +520c_{3}^2c_{6} +544c_{3}c_{4}c_{5} +86c_{4}^3 +125280c_{1}c_{11} +45816c_{2}c_{10} +14428c_{3}c_{9} +7064c_{4}c_{8} +3284c_{5}c_{7} +1408c_{6}^2 +86400c_{12})

SSM-Thom polynomial in Schur functions T^12(371588s_{8,3,1} +271684s_{8,4} +111600s_{9,1,1,1} +493920s_{9,2,1} +463680s_{9,3} +417600s_{10,1,1} +672336s_{10,2} +751680s_{11,1} +518400s_{12} +39628s_{6,6} +720s_{7,1,1,1,1,1} +20160s_{7,2,1,1,1} +69020s_{7,2,2,1} +113890s_{7,3,1,1} +164934s_{7,3,2} +219618s_{7,4,1} +133616s_{7,5} +14400s_{8,1,1,1,1} +147420s_{8,2,1,1} +174580s_{8,2,2} +31515s_{5,5,2} +1044s_{6,2,1,1,1,1} +10556s_{6,2,2,1,1} +12425s_{6,2,2,2} +15448s_{6,3,1,1,1} +64925s_{6,3,2,1} +40173s_{6,3,3} +64100s_{6,4,1,1} +99393s_{6,4,2} +96536s_{6,5,1} +580s_{5,2,2,1,1,1} +2520s_{5,2,2,2,1} +770s_{5,3,1,1,1,1} +9374s_{5,3,2,1,1} +11445s_{5,3,2,2} +15897s_{5,3,3,1} +7588s_{5,4,1,1,1} +34229s_{5,4,2,1} +26740s_{5,4,3} +19978s_{5,5,1,1} +1973s_{4,3,2,2,1} +2030s_{4,3,3,1,1} +2926s_{4,3,3,2} +266s_{4,4,1,1,1,1} +3374s_{4,4,2,1,1} +4257s_{4,4,2,2} +7175s_{4,4,3,1} +3059s_{4,4,4} +336s_{3,3,3,2,1} +168s_{3,3,3,3} +155s_{4,2,2,2,1,1} +245s_{4,2,2,2,2} +455s_{4,3,2,1,1,1} +20s_{3,2,2,2,2,1} +84s_{3,3,2,2,1,1} +120s_{3,3,2,2,2} +70s_{3,3,3,1,1,1} +s_{2,2,2,2,2,2})
SSM-Thom polynomial in Schur-tilde functions (S_{2,2,2,2,2,2} +113890S_{7,3,1,1} +164934S_{7,3,2} +219618S_{7,4,1} +133616S_{7,5} +371588S_{8,3,1} +271684S_{8,4} +463680S_{9,3} +2520S_{5,2,2,2,1} +1044S_{6,2,1,1,1,1} +10556S_{6,2,2,1,1} +12425S_{6,2,2,2} +672336S_{10,2} +751680S_{11,1} +518400S_{12} +580S_{5,2,2,1,1,1} +720S_{7,1,1,1,1,1} +20160S_{7,2,1,1,1} +69020S_{7,2,2,1} +14400S_{8,1,1,1,1} +147420S_{8,2,1,1} +174580S_{8,2,2} +111600S_{9,1,1,1} +493920S_{9,2,1} +417600S_{10,1,1} +155S_{4,2,2,2,1,1} +245S_{4,2,2,2,2} +455S_{4,3,2,1,1,1} +1973S_{4,3,2,2,1} +2030S_{4,3,3,1,1} +2926S_{4,3,3,2} +266S_{4,4,1,1,1,1} +3374S_{4,4,2,1,1} +4257S_{4,4,2,2} +7175S_{4,4,3,1} +3059S_{4,4,4} +770S_{5,3,1,1,1,1} +9374S_{5,3,2,1,1} +11445S_{5,3,2,2} +15897S_{5,3,3,1} +7588S_{5,4,1,1,1} +34229S_{5,4,2,1} +26740S_{5,4,3} +19978S_{5,5,1,1} +31515S_{5,5,2} +15448S_{6,3,1,1,1} +64925S_{6,3,2,1} +40173S_{6,3,3} +64100S_{6,4,1,1} +99393S_{6,4,2} +96536S_{6,5,1} +39628S_{6,6} +20S_{3,2,2,2,2,1} +84S_{3,3,2,2,1,1} +120S_{3,3,2,2,2} +70S_{3,3,3,1,1,1} +336S_{3,3,3,2,1} +168S_{3,3,3,3})T^12
Local algebra C[x,y]/(x^2,xy,y^5)
Thom-Boardman class \Sigma^{2,0}
Codimension 12
SSM-Thom polynomial in Chern classes T^12( -24c_{1}^3c_{2}c_{7} +34c_{1}^3c_{3}c_{6} -10c_{1}^3c_{4}c_{5} -26c_{1}^2c_{2}^2c_{6} +29c_{1}^2c_{2}c_{3}c_{5} -17c_{1}^2c_{2}c_{4}^2 +14c_{1}^2c_{3}^2c_{4} -9c_{1}c_{2}^3c_{5} +9c_{1}c_{2}c_{3}^3 -2c_{2}^4c_{4} +2c_{2}^3c_{3}^2 -216c_{1}^2c_{2}c_{8} +294c_{1}^2c_{3}c_{7} -72c_{1}^2c_{4}c_{6} -6c_{1}^2c_{5}^2 -162c_{1}c_{2}^2c_{7} +167c_{1}c_{2}c_{3}c_{6} -103c_{1}c_{2}c_{4}c_{5} +89c_{1}c_{3}^2c_{5} +9c_{1}c_{3}c_{4}^2 -29c_{2}^3c_{6} +20c_{2}^2c_{3}c_{5} -23c_{2}^2c_{4}^2 +29c_{2}c_{3}^2c_{4} +3c_{3}^4 -624c_{1}c_{2}c_{9} +824c_{1}c_{3}c_{8} -174c_{1}c_{4}c_{7} -26c_{1}c_{5}c_{6} -244c_{2}^2c_{8} +234c_{2}c_{3}c_{7} -124c_{2}c_{4}c_{6} -30c_{2}c_{5}^2 +128c_{3}^2c_{6} +46c_{3}c_{4}c_{5} -10c_{4}^3 -576c_{2}c_{10} +744c_{3}c_{9} -140c_{4}c_{8} -24c_{5}c_{7} -4c_{6}^2)

SSM-Thom polynomial in Schur functions T^12(2364s_{8,3,1} +1632s_{8,4} +2232s_{9,3} +176s_{6,6} +792s_{7,3,1,1} +1670s_{7,3,2} +1624s_{7,4,1} +728s_{7,5} +302s_{5,5,2} +84s_{6,3,1,1,1} +720s_{6,3,2,1} +959s_{6,3,3} +492s_{6,4,1,1} +1052s_{6,4,2} +628s_{6,5,1} +82s_{5,3,2,1,1} +170s_{5,3,2,2} +434s_{5,3,3,1} +44s_{5,4,1,1,1} +382s_{5,4,2,1} +540s_{5,4,3} +132s_{5,5,1,1} +24s_{4,3,2,2,1} +47s_{4,3,3,1,1} +118s_{4,3,3,2} +30s_{4,4,2,1,1} +60s_{4,4,2,2} +168s_{4,4,3,1} +48s_{4,4,4} +13s_{3,3,3,2,1} +14s_{3,3,3,3} +2s_{3,3,2,2,2})

SSM-Thom polynomial in Schur-tilde functions (792S_{7,3,1,1} +1670S_{7,3,2} +1624S_{7,4,1} +728S_{7,5} +2364S_{8,3,1} +1632S_{8,4} +2232S_{9,3} +24S_{4,3,2,2,1} +47S_{4,3,3,1,1} +118S_{4,3,3,2} +30S_{4,4,2,1,1} +60S_{4,4,2,2} +168S_{4,4,3,1} +48S_{4,4,4} +82S_{5,3,2,1,1} +170S_{5,3,2,2} +434S_{5,3,3,1} +44S_{5,4,1,1,1} +382S_{5,4,2,1} +540S_{5,4,3} +132S_{5,5,1,1} +302S_{5,5,2} +84S_{6,3,1,1,1} +720S_{6,3,2,1} +959S_{6,3,3} +492S_{6,4,1,1} +1052S_{6,4,2} +628S_{6,5,1} +176S_{6,6} +2S_{3,3,2,2,2} +13S_{3,3,3,2,1} +14S_{3,3,3,3})T^12
Local algebra C[x,y]/(x^3,xy,y^4)
Thom-Boardman class \Sigma^{2,0}
Codimension 12
SSM-Thom polynomial in Chern classes T^12( -10c_{1}^3c_{3}c_{6} +10c_{1}^3c_{4}c_{5} -6c_{1}^2c_{2}^2c_{6} -5c_{1}^2c_{2}c_{3}c_{5} +13c_{1}^2c_{2}c_{4}^2 -2c_{1}^2c_{3}^2c_{4} -7c_{1}c_{2}^3c_{5} +8c_{1}c_{2}^2c_{3}c_{4} -c_{1}c_{2}c_{3}^3 -2c_{2}^4c_{4} +2c_{2}^3c_{3}^2 -54c_{1}^2c_{3}c_{7} +48c_{1}^2c_{4}c_{6} +6c_{1}^2c_{5}^2 -30c_{1}c_{2}^2c_{7} +11c_{1}c_{2}c_{3}c_{6} +29c_{1}c_{2}c_{4}c_{5} -15c_{1}c_{3}^2c_{5} +5c_{1}c_{3}c_{4}^2 -17c_{2}^3c_{6} +28c_{2}^2c_{3}c_{5} -11c_{2}^2c_{4}^2 +c_{2}c_{3}^2c_{4} -c_{3}^4 -80c_{1}c_{3}c_{8} +10c_{1}c_{4}c_{7} +70c_{1}c_{5}c_{6} -36c_{2}^2c_{8} +50c_{2}c_{3}c_{7} -72c_{2}c_{4}c_{6} +70c_{2}c_{5}^2 -20c_{3}^2c_{6} +14c_{3}c_{4}c_{5} -6c_{4}^3 -24c_{3}c_{9} -92c_{4}c_{8} +168c_{5}c_{7} -52c_{6}^2)
SSM-Thom polynomial in Schur functions T^12(132s_{8,3,1} +336s_{8,4} +72s_{9,3} +176s_{6,6} +72s_{7,3,1,1} +170s_{7,3,2} +544s_{7,4,1} +728s_{7,5} +302s_{5,5,2} +12s_{6,3,1,1,1} +120s_{6,3,2,1} +81s_{6,3,3} +276s_{6,4,1,1} +368s_{6,4,2} +628s_{6,5,1} +22s_{5,3,2,1,1} +50s_{5,3,2,2} +54s_{5,3,3,1} +44s_{5,4,1,1,1} +202s_{5,4,2,1} +150s_{5,4,3} +132s_{5,5,1,1} +12s_{4,3,2,2,1} +9s_{4,3,3,1,1} +18s_{4,3,3,2} +30s_{4,4,2,1,1} +24s_{4,4,2,2} +54s_{4,4,3,1} +12s_{4,4,4} +3s_{3,3,3,2,1} +2s_{3,3,2,2,2})
SSM-Thom polynomial in Schur-tilde functions (72S_{7,3,1,1} +170S_{7,3,2} +544S_{7,4,1} +728S_{7,5} +132S_{8,3,1} +336S_{8,4} +72S_{9,3} +12S_{4,3,2,2,1} +9S_{4,3,3,1,1} +18S_{4,3,3,2} +30S_{4,4,2,1,1} +24S_{4,4,2,2} +54S_{4,4,3,1} +12S_{4,4,4} +22S_{5,3,2,1,1} +50S_{5,3,2,2} +54S_{5,3,3,1} +44S_{5,4,1,1,1} +202S_{5,4,2,1} +150S_{5,4,3} +132S_{5,5,1,1} +302S_{5,5,2} +12S_{6,3,1,1,1} +120S_{6,3,2,1} +81S_{6,3,3} +276S_{6,4,1,1} +368S_{6,4,2} +628S_{6,5,1} +176S_{6,6} +2S_{3,3,2,2,2} +3S_{3,3,3,2,1})T^12
Local algebra C[x,y]/(x^2,y^3)
Thom-Boardman class \Sigma^{2,1,0}
Codimension 12
SSM-Thom polynomial in Chern classes T^12( -2c_{1}^3c_{3}c_{6} +2c_{1}^3c_{4}c_{5} -4c_{1}^2c_{2}c_{3}c_{5} +2c_{1}^2c_{2}c_{4}^2 +2c_{1}^2c_{3}^2c_{4} -2c_{1}c_{2}^2c_{3}c_{4} +2c_{1}c_{2}c_{3}^3 -14c_{1}^2c_{3}c_{7} +12c_{1}^2c_{4}c_{6} +2c_{1}^2c_{5}^2 -20c_{1}c_{2}c_{3}c_{6} +8c_{1}c_{2}c_{4}c_{5} +10c_{1}c_{3}^2c_{5} +2c_{1}c_{3}c_{4}^2 -6c_{2}^2c_{3}c_{5} +4c_{2}c_{3}^2c_{4} +2c_{3}^4 -28c_{1}c_{3}c_{8} +16c_{1}c_{4}c_{7} +12c_{1}c_{5}c_{6} -22c_{2}c_{3}c_{7} +4c_{2}c_{4}c_{6} +2c_{2}c_{5}^2 +10c_{3}^2c_{6} +10c_{3}c_{4}c_{5} -4c_{4}^3 -16c_{3}c_{9} +16c_{5}c_{7})
SSM-Thom polynomial in Schur functions T^12(68s_{8,3,1} +144s_{8,4} +40s_{9,3} +88s_{6,6} +32s_{7,3,1,1} +82s_{7,3,2} +200s_{7,4,1} +192s_{7,5} +92s_{5,5,2} +4s_{6,3,1,1,1} +48s_{6,3,2,1} +86s_{6,3,3} +80s_{6,4,1,1} +174s_{6,4,2} +196s_{6,5,1} +6s_{5,3,2,1,1} +16s_{5,3,2,2} +52s_{5,3,3,1} +8s_{5,4,1,1,1} +80s_{5,4,2,1} +100s_{5,4,3} +48s_{5,5,1,1} +2s_{4,3,2,2,1} +6s_{4,3,3,1,1} +20s_{4,3,3,2} +6s_{4,4,2,1,1} +16s_{4,4,2,2} +36s_{4,4,3,1} +12s_{4,4,4} +2s_{3,3,3,2,1} +4s_{3,3,3,3})
SSM-Thom polynomial in Schur-tilde functions (32S_{7,3,1,1} +82S_{7,3,2} +200S_{7,4,1} +192S_{7,5} +68S_{8,3,1} +144S_{8,4} +40S_{9,3} +2S_{4,3,2,2,1} +6S_{4,3,3,1,1} +20S_{4,3,3,2} +6S_{4,4,2,1,1} +16S_{4,4,2,2} +36S_{4,4,3,1} +12S_{4,4,4} +6S_{5,3,2,1,1} +16S_{5,3,2,2} +52S_{5,3,3,1} +8S_{5,4,1,1,1} +80S_{5,4,2,1} +100S_{5,4,3} +48S_{5,5,1,1} +92S_{5,5,2} +4S_{6,3,1,1,1} +48S_{6,3,2,1} +86S_{6,3,3} +80S_{6,4,1,1} +174S_{6,4,2} +196S_{6,5,1} +88S_{6,6} +2S_{3,3,3,2,1} +4S_{3,3,3,3})T^12
Local algebra C[x,y,z]/(x^2+y^2+z^2,xy,yz,zx)
Thom-Boardman class \Sigma^{3,0}
Codimension 12
SSM-Thom polynomial in Chern classes T^12( -c_{2}c_{4}c_{6} +c_{2}c_{5}^2 +c_{3}^2c_{6} -2c_{3}c_{4}c_{5} +c_{4}^3)
SSM-Thom polynomial in Schur functions T^12s_{4,4,4}
SSM-Thom polynomial in Schur-tilde functions T^12S_{4,4,4}