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SSM-Tp’s, l=2

SSM-Thom polynomials up to cohomological degree 24

of

contact singularities of relative dimension l=2 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^3c_{3} +T^4(c_{1}c_{3} +2c_{4}) +T^5( -c_{1}^2c_{3} -3c_{1}c_{4} +c_{2}c_{3} -3c_{5}) +T^6(c_{1}^3c_{3} +4c_{1}^2c_{4} -2c_{1}c_{2}c_{3} +6c_{1}c_{5} -4c_{2}c_{4} +c_{3}^2 +4c_{6}) +T^7( -c_{1}^4c_{3} -5c_{1}^3c_{4} +3c_{1}^2c_{2}c_{3} -10c_{1}^2c_{5} +10c_{1}c_{2}c_{4} -2c_{1}c_{3}^2 -c_{2}^2c_{3} -10c_{1}c_{6} +10c_{2}c_{5} -4c_{3}c_{4} -5c_{7}) +T^8(c_{1}^5c_{3} +6c_{1}^4c_{4} -4c_{1}^3c_{2}c_{3} +15c_{1}^3c_{5} -18c_{1}^2c_{2}c_{4} +3c_{1}^2c_{3}^2 +3c_{1}c_{2}^2c_{3} +20c_{1}^2c_{6} -30c_{1}c_{2}c_{5} +10c_{1}c_{3}c_{4} +6c_{2}^2c_{4} -2c_{2}c_{3}^2 +15c_{1}c_{7} -20c_{2}c_{6} +15c_{3}c_{5} -5c_{4}^2 +6c_{8}) +T^9( -c_{1}^6c_{3} -7c_{1}^5c_{4} +5c_{1}^4c_{2}c_{3} -21c_{1}^4c_{5} +28c_{1}^3c_{2}c_{4} -4c_{1}^3c_{3}^2 -6c_{1}^2c_{2}^2c_{3} -35c_{1}^3c_{6} +63c_{1}^2c_{2}c_{5} -18c_{1}^2c_{3}c_{4} -21c_{1}c_{2}^2c_{4} +6c_{1}c_{2}c_{3}^2 +c_{2}^3c_{3} -35c_{1}^2c_{7} +70c_{1}c_{2}c_{6} -42c_{1}c_{3}c_{5} +12c_{1}c_{4}^2 -21c_{2}^2c_{5} +12c_{2}c_{3}c_{4} -c_{3}^3 -21c_{1}c_{8} +35c_{2}c_{7} -32c_{3}c_{6} +12c_{4}c_{5} -7c_{9}) +T^10(c_{1}^7c_{3} +8c_{1}^6c_{4} -6c_{1}^5c_{2}c_{3} +28c_{1}^5c_{5} -40c_{1}^4c_{2}c_{4} +5c_{1}^4c_{3}^2 +10c_{1}^3c_{2}^2c_{3} +56c_{1}^4c_{6} -112c_{1}^3c_{2}c_{5} +28c_{1}^3c_{3}c_{4} +48c_{1}^2c_{2}^2c_{4} -12c_{1}^2c_{2}c_{3}^2 -4c_{1}c_{2}^3c_{3} +70c_{1}^3c_{7} -168c_{1}^2c_{2}c_{6} +84c_{1}^2c_{3}c_{5} -21c_{1}^2c_{4}^2 +84c_{1}c_{2}^2c_{5} -42c_{1}c_{2}c_{3}c_{4} +3c_{1}c_{3}^3 -8c_{2}^3c_{4} +3c_{2}^2c_{3}^2 +56c_{1}^2c_{8} -140c_{1}c_{2}c_{7} +105c_{1}c_{3}c_{6} -35c_{1}c_{4}c_{5} +56c_{2}^2c_{6} -56c_{2}c_{3}c_{5} +14c_{2}c_{4}^2 +6c_{3}^2c_{4} +28c_{1}c_{9} -56c_{2}c_{8} +67c_{3}c_{7} -58c_{4}c_{6} +26c_{5}^2 +8c_{10}) +T^11( -c_{1}^8c_{3} -9c_{1}^7c_{4} +7c_{1}^6c_{2}c_{3} -36c_{1}^6c_{5} +54c_{1}^5c_{2}c_{4} -6c_{1}^5c_{3}^2 -15c_{1}^4c_{2}^2c_{3} -84c_{1}^5c_{6} +180c_{1}^4c_{2}c_{5} -40c_{1}^4c_{3}c_{4} -90c_{1}^3c_{2}^2c_{4} +20c_{1}^3c_{2}c_{3}^2 +10c_{1}^2c_{2}^3c_{3} -126c_{1}^4c_{7} +336c_{1}^3c_{2}c_{6} -144c_{1}^3c_{3}c_{5} +32c_{1}^3c_{4}^2 -216c_{1}^2c_{2}^2c_{5} +96c_{1}^2c_{2}c_{3}c_{4} -6c_{1}^2c_{3}^3 +36c_{1}c_{2}^3c_{4} -12c_{1}c_{2}^2c_{3}^2 -c_{2}^4c_{3} -126c_{1}^3c_{8} +378c_{1}^2c_{2}c_{7} -240c_{1}^2c_{3}c_{6} +72c_{1}^2c_{4}c_{5} -252c_{1}c_{2}^2c_{6} +216c_{1}c_{2}c_{3}c_{5} -48c_{1}c_{2}c_{4}^2 -21c_{1}c_{3}^2c_{4} +36c_{2}^3c_{5} -24c_{2}^2c_{3}c_{4} +3c_{2}c_{3}^3 -84c_{1}^2c_{9} +252c_{1}c_{2}c_{8} -243c_{1}c_{3}c_{7} +172c_{1}c_{4}c_{6} -69c_{1}c_{5}^2 -126c_{2}^2c_{7} +160c_{2}c_{3}c_{6} -48c_{2}c_{4}c_{5} -36c_{3}^2c_{5} +15c_{3}c_{4}^2 -36c_{1}c_{10} +84c_{2}c_{9} -119c_{3}c_{8} +109c_{4}c_{7} -46c_{5}c_{6} -9c_{11}) +T^12(c_{1}^9c_{3} +10c_{1}^8c_{4} -8c_{1}^7c_{2}c_{3} +45c_{1}^7c_{5} -70c_{1}^6c_{2}c_{4} +7c_{1}^6c_{3}^2 +21c_{1}^5c_{2}^2c_{3} +120c_{1}^6c_{6} -270c_{1}^5c_{2}c_{5} +54c_{1}^5c_{3}c_{4} +150c_{1}^4c_{2}^2c_{4} -30c_{1}^4c_{2}c_{3}^2 -20c_{1}^3c_{2}^3c_{3} +210c_{1}^5c_{7} -600c_{1}^4c_{2}c_{6} +225c_{1}^4c_{3}c_{5} -45c_{1}^4c_{4}^2 +450c_{1}^3c_{2}^2c_{5} -180c_{1}^3c_{2}c_{3}c_{4} +10c_{1}^3c_{3}^3 -100c_{1}^2c_{2}^3c_{4} +30c_{1}^2c_{2}^2c_{3}^2 +5c_{1}c_{2}^4c_{3} +252c_{1}^4c_{8} -840c_{1}^3c_{2}c_{7} +462c_{1}^3c_{3}c_{6} -126c_{1}^3c_{4}c_{5} +720c_{1}^2c_{2}^2c_{6} -540c_{1}^2c_{2}c_{3}c_{5} +108c_{1}^2c_{2}c_{4}^2 +48c_{1}^2c_{3}^2c_{4} -180c_{1}c_{2}^3c_{5} +108c_{1}c_{2}^2c_{3}c_{4} -12c_{1}c_{2}c_{3}^3 +10c_{2}^4c_{4} -4c_{2}^3c_{3}^2 +210c_{1}^3c_{9} -756c_{1}^2c_{2}c_{8} +611c_{1}^2c_{3}c_{7} -365c_{1}^2c_{4}c_{6} +132c_{1}^2c_{5}^2 +630c_{1}c_{2}^2c_{7} -693c_{1}c_{2}c_{3}c_{6} +189c_{1}c_{2}c_{4}c_{5} +135c_{1}c_{3}^2c_{5} -51c_{1}c_{3}c_{4}^2 -120c_{2}^3c_{6} +135c_{2}^2c_{3}c_{5} -27c_{2}^2c_{4}^2 -24c_{2}c_{3}^2c_{4} +c_{3}^4 +120c_{1}^2c_{10} -420c_{1}c_{2}c_{9} +483c_{1}c_{3}c_{8} -378c_{1}c_{4}c_{7} +147c_{1}c_{5}c_{6} +252c_{2}^2c_{8} -407c_{2}c_{3}c_{7} +242c_{2}c_{4}c_{6} -87c_{2}c_{5}^2 +111c_{3}^2c_{6} -63c_{3}c_{4}c_{5} +8c_{4}^3 +45c_{1}c_{11} -120c_{2}c_{10} +202c_{3}c_{9} -246c_{4}c_{8} +237c_{5}c_{7} -109c_{6}^2 +10c_{12})
SSM-Thom polynomial in Schur functions -T^3s_{3} +s_{0} +T^4(3s_{4} +s_{3,1}) +T^5( -6s_{5} -4s_{4,1} -s_{3,1,1}) +T^6(10s_{6} +10s_{5,1} +5s_{4,1,1} +s_{3,1,1,1}) +T^7( -15s_{7} -20s_{6,1} -15s_{5,1,1} -6s_{4,1,1,1} -s_{3,1,1,1,1}) +T^8(s_{3,1,1,1,1,1} +7s_{4,1,1,1,1} +s_{4,4} +21s_{5,1,1,1} +35s_{6,1,1} +35s_{7,1} +21s_{8}) +T^9( -s_{3,1,1,1,1,1,1} -8s_{4,1,1,1,1,1} -2s_{4,4,1} -28s_{5,1,1,1,1} -4s_{5,4} -56s_{6,1,1,1} -70s_{7,1,1} -56s_{8,1} -28s_{9}) +T^10(s_{3,1,1,1,1,1,1,1} +9s_{4,1,1,1,1,1,1} +3s_{4,4,1,1} +s_{4,4,2} +36s_{5,1,1,1,1,1} +9s_{5,4,1} +6s_{5,5} +84s_{6,1,1,1,1} +10s_{6,4} +126s_{7,1,1,1} +126s_{8,1,1} +84s_{9,1} +36s_{10}) +T^11( -s_{3,1,1,1,1,1,1,1,1} -10s_{4,1,1,1,1,1,1,1} -4s_{4,4,1,1,1} -2s_{4,4,2,1} -45s_{5,1,1,1,1,1,1} -15s_{5,4,1,1} -5s_{5,4,2} -15s_{5,5,1} -120s_{6,1,1,1,1,1} -25s_{6,4,1} -20s_{6,5} -210s_{7,1,1,1,1} -20s_{7,4} -252s_{8,1,1,1} -210s_{9,1,1} -120s_{10,1} -45s_{11}) +T^12(35s_{8,4} +462s_{9,1,1,1} +330s_{10,1,1} +165s_{11,1} +55s_{12} +20s_{6,6} +330s_{7,1,1,1,1,1} +55s_{7,4,1} +45s_{7,5} +462s_{8,1,1,1,1} +10s_{5,5,2} +165s_{6,1,1,1,1,1,1} +46s_{6,4,1,1} +15s_{6,4,2} +55s_{6,5,1} +22s_{5,4,1,1,1} +11s_{5,4,2,1} +27s_{5,5,1,1} +5s_{4,4,1,1,1,1} +3s_{4,4,2,1,1} +s_{4,4,2,2} +55s_{5,1,1,1,1,1,1,1} +11s_{4,1,1,1,1,1,1,1,1} +s_{3,1,1,1,1,1,1,1,1,1})
SSM-Thom polynomial in Schur-tilde functions (S_{1,1,1,1,1,1,1,1,1,1,1,1} +S_{2,1,1,1,1,1,1,1,1,1,1} +S_{2,2,1,1,1,1,1,1,1,1} +S_{2,2,2,1,1,1,1,1,1} +S_{2,2,2,2,1,1,1,1} +S_{2,2,2,2,2,1,1} +S_{2,2,2,2,2,2})T^12 +(S_{1,1,1,1,1,1,1,1,1,1,1} +S_{2,2,2,2,1,1,1} +S_{2,2,2,2,2,1} +S_{2,1,1,1,1,1,1,1,1,1} +S_{2,2,1,1,1,1,1,1,1} +S_{2,2,2,1,1,1,1,1})T^11 +(S_{1,1,1,1,1,1,1,1,1,1} +S_{2,1,1,1,1,1,1,1,1} +S_{2,2,1,1,1,1,1,1} +S_{2,2,2,1,1,1,1} +S_{2,2,2,2,1,1} +S_{2,2,2,2,2})T^10 +(S_{1,1,1,1,1,1,1,1,1} +S_{2,1,1,1,1,1,1,1} +S_{2,2,1,1,1,1,1} +S_{2,2,2,1,1,1} +S_{2,2,2,2,1})T^9 +(S_{1,1,1,1,1,1,1,1} +S_{2,1,1,1,1,1,1} +S_{2,2,1,1,1,1} +S_{2,2,2,1,1} +S_{2,2,2,2})T^8 +(S_{1,1,1,1,1,1,1} +S_{2,2,1,1,1} +S_{2,2,2,1} +S_{2,1,1,1,1,1})T^7 +(S_{1,1,1,1,1,1} +S_{2,1,1,1,1} +S_{2,2,1,1} +S_{2,2,2})T^6 +(S_{1,1,1,1,1} +S_{2,1,1,1} +S_{2,2,1})T^5 +(S_{1,1,1,1} +S_{2,2} +S_{2,1,1})T^4 +(S_{1,1,1} +S_{2,1})T^3 +(S_{2} +S_{1,1})T^2 +TS_{1} +S_{}

codimension 3

Local algebra C[x]/(x^2)
Thom-Boardman class \Sigma^{1,0}
Codimension 3
SSM-Thom polynomial in Chern classes T^3c_{3} +T^4( -c_{1}c_{3} -2c_{4}) +T^5(c_{1}^2c_{3} +3c_{1}c_{4} -c_{2}c_{3} +3c_{5}) +T^6( -c_{1}^3c_{3} -4c_{1}^2c_{4} +2c_{1}c_{2}c_{3} -8c_{1}c_{5} +3c_{2}c_{4} -2c_{3}^2 -8c_{6}) +T^7(c_{1}^4c_{3} +5c_{1}^3c_{4} -3c_{1}^2c_{2}c_{3} +14c_{1}^2c_{5} -8c_{1}c_{2}c_{4} +4c_{1}c_{3}^2 +c_{2}^2c_{3} +32c_{1}c_{6} -3c_{2}c_{5} +11c_{3}c_{4} +33c_{7}) +T^8( -c_{1}^5c_{3} -6c_{1}^4c_{4} +4c_{1}^3c_{2}c_{3} -21c_{1}^3c_{5} +15c_{1}^2c_{2}c_{4} -6c_{1}^2c_{3}^2 -3c_{1}c_{2}^2c_{3} -66c_{1}^2c_{6} +17c_{1}c_{2}c_{5} -27c_{1}c_{3}c_{4} -4c_{2}^2c_{4} +4c_{2}c_{3}^2 -143c_{1}c_{7} -2c_{2}c_{6} -36c_{3}c_{5} -4c_{4}^2 -126c_{8}) +T^9(c_{1}^6c_{3} +7c_{1}^5c_{4} -5c_{1}^4c_{2}c_{3} +29c_{1}^4c_{5} -24c_{1}^3c_{2}c_{4} +8c_{1}^3c_{3}^2 +6c_{1}^2c_{2}^2c_{3} +111c_{1}^3c_{6} -45c_{1}^2c_{2}c_{5} +48c_{1}^2c_{3}c_{4} +15c_{1}c_{2}^2c_{4} -12c_{1}c_{2}c_{3}^2 -c_{2}^3c_{3} +327c_{1}^2c_{7} -48c_{1}c_{2}c_{6} +106c_{1}c_{3}c_{5} +14c_{1}c_{4}^2 +c_{2}^2c_{5} -30c_{2}c_{3}c_{4} +3c_{3}^3 +569c_{1}c_{8} -13c_{2}c_{7} +100c_{3}c_{6} +30c_{4}c_{5} +415c_{9}) +T^10( -c_{1}^7c_{3} -8c_{1}^6c_{4} +6c_{1}^5c_{2}c_{3} -38c_{1}^5c_{5} +35c_{1}^4c_{2}c_{4} -10c_{1}^4c_{3}^2 -10c_{1}^3c_{2}^2c_{3} -168c_{1}^4c_{6} +90c_{1}^3c_{2}c_{5} -74c_{1}^3c_{3}c_{4} -36c_{1}^2c_{2}^2c_{4} +24c_{1}^2c_{2}c_{3}^2 +4c_{1}c_{2}^3c_{3} -604c_{1}^3c_{7} +179c_{1}^2c_{2}c_{6} -218c_{1}^2c_{3}c_{5} -32c_{1}^2c_{4}^2 -21c_{1}c_{2}^2c_{5} +105c_{1}c_{2}c_{3}c_{4} -9c_{1}c_{3}^3 +5c_{2}^3c_{4} -6c_{2}^2c_{3}^2 -1432c_{1}^2c_{8} +312c_{1}c_{2}c_{7} -373c_{1}c_{3}c_{6} -101c_{1}c_{4}c_{5} +49c_{2}^2c_{6} +115c_{2}c_{3}c_{5} +23c_{2}c_{4}^2 -27c_{3}^2c_{4} -1986c_{1}c_{9} +221c_{2}c_{8} -323c_{3}c_{7} -32c_{4}c_{6} -67c_{5}^2 -1220c_{10}) +T^11(c_{1}^8c_{3} +9c_{1}^7c_{4} -7c_{1}^6c_{2}c_{3} +48c_{1}^6c_{5} -48c_{1}^5c_{2}c_{4} +12c_{1}^5c_{3}^2 +15c_{1}^4c_{2}^2c_{3} +238c_{1}^5c_{6} -155c_{1}^4c_{2}c_{5} +105c_{1}^4c_{3}c_{4} +70c_{1}^3c_{2}^2c_{4} -40c_{1}^3c_{2}c_{3}^2 -10c_{1}^2c_{2}^3c_{3} +994c_{1}^4c_{7} -424c_{1}^3c_{2}c_{6} +380c_{1}^3c_{3}c_{5} +60c_{1}^3c_{4}^2 +84c_{1}^2c_{2}^2c_{5} -240c_{1}^2c_{2}c_{3}c_{4} +18c_{1}^2c_{3}^3 -24c_{1}c_{2}^3c_{4} +24c_{1}c_{2}^2c_{3}^2 +c_{2}^4c_{3} +2904c_{1}^3c_{8} -1135c_{1}^2c_{2}c_{7} +901c_{1}^2c_{3}c_{6} +240c_{1}^2c_{4}c_{5} -79c_{1}c_{2}^2c_{6} -470c_{1}c_{2}c_{3}c_{5} -95c_{1}c_{2}c_{4}^2 +93c_{1}c_{3}^2c_{4} +3c_{2}^3c_{5} +57c_{2}^2c_{3}c_{4} -9c_{2}c_{3}^3 +5492c_{1}^2c_{9} -1988c_{1}c_{2}c_{8} +1473c_{1}c_{3}c_{7} +130c_{1}c_{4}c_{6} +225c_{1}c_{5}^2 -243c_{2}^2c_{7} -342c_{2}c_{3}c_{6} -190c_{2}c_{4}c_{5} +144c_{3}^2c_{5} +6c_{3}c_{4}^2 +6254c_{1}c_{10} -1359c_{2}c_{9} +1152c_{3}c_{8} +33c_{4}c_{7} +212c_{5}c_{6} +3309c_{11}) +T^12( -c_{1}^9c_{3} -10c_{1}^8c_{4} +8c_{1}^7c_{2}c_{3} -59c_{1}^7c_{5} +63c_{1}^6c_{2}c_{4} -14c_{1}^6c_{3}^2 -21c_{1}^5c_{2}^2c_{3} -322c_{1}^6c_{6} +243c_{1}^5c_{2}c_{5} -141c_{1}^5c_{3}c_{4} -120c_{1}^4c_{2}^2c_{4} +60c_{1}^4c_{2}c_{3}^2 +20c_{1}^3c_{2}^3c_{3} -1518c_{1}^5c_{7} +820c_{1}^4c_{2}c_{6} -600c_{1}^4c_{3}c_{5} -100c_{1}^4c_{4}^2 -220c_{1}^3c_{2}^2c_{5} +450c_{1}^3c_{2}c_{3}c_{4} -30c_{1}^3c_{3}^3 +70c_{1}^2c_{2}^3c_{4} -60c_{1}^2c_{2}^2c_{3}^2 -5c_{1}c_{2}^4c_{3} -5210c_{1}^4c_{8} +2789c_{1}^3c_{2}c_{7} -1779c_{1}^3c_{3}c_{6} -480c_{1}^3c_{4}c_{5} -34c_{1}^2c_{2}^2c_{6} +1222c_{1}^2c_{2}c_{3}c_{5} +250c_{1}^2c_{2}c_{4}^2 -210c_{1}^2c_{3}^2c_{4} +14c_{1}c_{2}^3c_{5} -258c_{1}c_{2}^2c_{3}c_{4} +36c_{1}c_{2}c_{3}^3 -6c_{2}^4c_{4} +8c_{2}^3c_{3}^2 -12206c_{1}^3c_{9} +6998c_{1}^2c_{2}c_{8} -4048c_{1}^2c_{3}c_{7} -398c_{1}^2c_{4}c_{6} -536c_{1}^2c_{5}^2 +389c_{1}c_{2}^2c_{7} +1738c_{1}c_{2}c_{3}c_{6} +819c_{1}c_{2}c_{4}c_{5} -549c_{1}c_{3}^2c_{5} -39c_{1}c_{3}c_{4}^2 -153c_{2}^3c_{6} -251c_{2}^2c_{3}c_{5} -65c_{2}^2c_{4}^2 +102c_{2}c_{3}^2c_{4} -4c_{3}^4 -18942c_{1}^2c_{10} +10111c_{1}c_{2}c_{9} -6102c_{1}c_{3}c_{8} +42c_{1}c_{4}c_{7} -889c_{1}c_{5}c_{6} +597c_{2}^2c_{8} +1082c_{2}c_{3}c_{7} +565c_{2}c_{4}c_{6} +327c_{2}c_{5}^2 -570c_{3}^2c_{6} -147c_{3}c_{4}c_{5} +42c_{4}^3 -18241c_{1}c_{11} +6024c_{2}c_{10} -4313c_{3}c_{9} +381c_{4}c_{8} -687c_{5}c_{7} -9c_{6}^2 -8474c_{12})
SSM-Thom polynomial in Schur functions T^3s_{3} +T^4( -3s_{4} -s_{3,1}) +T^5(6s_{5} +4s_{4,1} +s_{3,1,1}) +T^6( -18s_{6} -s_{3,3} -2s_{4,2} -14s_{5,1} -5s_{4,1,1} -s_{3,1,1,1}) +T^7(87s_{7} +13s_{4,3} +26s_{5,2} +72s_{6,1} +2s_{3,3,1} +4s_{4,2,1} +23s_{5,1,1} +6s_{4,1,1,1} +s_{3,1,1,1,1}) +T^8( -s_{3,1,1,1,1,1} -3s_{3,3,1,1} -s_{3,3,2} -7s_{4,1,1,1,1} -6s_{4,2,1,1} -2s_{4,2,2} -29s_{4,3,1} -32s_{4,4} -33s_{5,1,1,1} -58s_{5,2,1} -94s_{5,3} -143s_{6,1,1} -188s_{6,2} -395s_{7,1} -405s_{8}) +T^9(s_{3,1,1,1,1,1,1} +4s_{3,3,1,1,1} +2s_{3,3,2,1} +8s_{4,1,1,1,1,1} +8s_{4,2,1,1,1} +4s_{4,2,2,1} +48s_{4,3,1,1} +16s_{4,3,2} +78s_{4,4,1} +44s_{5,1,1,1,1} +96s_{5,2,1,1} +32s_{5,2,2} +232s_{5,3,1} +224s_{5,4} +232s_{6,1,1,1} +464s_{6,2,1} +502s_{6,3} +870s_{7,1,1} +1004s_{7,2} +1872s_{8,1} +1612s_{9}) +T^10( -842s_{6,2,1,1} -280s_{6,2,2} -1360s_{6,3,1} -1065s_{6,4} -1546s_{7,1,1,1} -2720s_{7,2,1} -2215s_{7,3} -4478s_{8,1,1} -4430s_{8,2} -7632s_{9,1} -5628s_{10} -35s_{4,3,2,1} -140s_{4,4,1,1} -47s_{4,4,2} -56s_{5,1,1,1,1,1} -140s_{5,2,1,1,1} -70s_{5,2,2,1} -421s_{5,3,1,1} -140s_{5,3,2} -603s_{5,4,1} -322s_{5,5} -340s_{6,1,1,1,1} -5s_{3,3,1,1,1,1} -3s_{3,3,2,1,1} -s_{3,3,2,2} -9s_{4,1,1,1,1,1,1} -10s_{4,2,1,1,1,1} -6s_{4,2,2,1,1} -2s_{4,2,2,2} -70s_{4,3,1,1,1} -s_{3,1,1,1,1,1,1,1}) +T^11(8648s_{8,1,1,1} +13080s_{8,2,1} +8563s_{8,3} +19730s_{9,1,1} +17126s_{9,2} +27652s_{10,1} +17829s_{11} +1336s_{6,2,1,1,1} +666s_{6,2,2,1} +2689s_{6,3,1,1} +890s_{6,3,2} +3143s_{6,4,1} +1761s_{6,5} +2458s_{7,1,1,1,1} +5378s_{7,2,1,1} +1780s_{7,2,2} +6540s_{7,3,1} +4236s_{7,4} +69s_{5,1,1,1,1,1,1} +190s_{5,2,1,1,1,1} +114s_{5,2,2,1,1} +38s_{5,2,2,2} +668s_{5,3,1,1,1} +333s_{5,3,2,1} +1185s_{5,4,1,1} +399s_{5,4,2} +945s_{5,5,1} +468s_{6,1,1,1,1,1} +12s_{4,2,1,1,1,1,1} +8s_{4,2,2,1,1,1} +4s_{4,2,2,2,1} +95s_{4,3,1,1,1,1} +57s_{4,3,2,1,1} +19s_{4,3,2,2} +220s_{4,4,1,1,1} +111s_{4,4,2,1} +2s_{4,4,3} +6s_{3,3,1,1,1,1,1} +4s_{3,3,2,1,1,1} +2s_{3,3,2,2,1} +10s_{4,1,1,1,1,1,1,1} +s_{3,1,1,1,1,1,1,1,1}) +T^12( -27381s_{8,3,1} -15114s_{8,4} -41246s_{9,1,1,1} -54762s_{9,2,1} -30044s_{9,3} -77014s_{10,1,1} -60088s_{10,2} -91621s_{11,1} -52551s_{12} -2026s_{6,6} -3642s_{7,1,1,1,1,1} -9238s_{7,2,1,1,1} -4578s_{7,2,2,1} -14010s_{7,3,1,1} -4605s_{7,3,2} -13611s_{7,4,1} -7016s_{7,5} -14874s_{8,1,1,1,1} -28020s_{8,2,1,1} -9210s_{8,2,2} -690s_{5,5,2} -617s_{6,1,1,1,1,1,1} -1960s_{6,2,1,1,1,1} -1172s_{6,2,2,1,1} -390s_{6,2,2,2} -4619s_{6,3,1,1,1} -2289s_{6,3,2,1} -6719s_{6,4,1,1} -2278s_{6,4,2} -5652s_{6,5,1} -164s_{5,2,2,1,1,1} -82s_{5,2,2,2,1} -980s_{5,3,1,1,1,1} -586s_{5,3,2,1,1} -195s_{5,3,2,2} -2024s_{5,4,1,1,1} -1024s_{5,4,2,1} -34s_{5,4,3} -2010s_{5,5,1,1} -41s_{4,3,2,2,1} -320s_{4,4,1,1,1,1} -194s_{4,4,2,1,1} -65s_{4,4,2,2} -6s_{4,4,3,1} -12s_{4,4,4} -83s_{5,1,1,1,1,1,1,1} -246s_{5,2,1,1,1,1,1} -11s_{4,1,1,1,1,1,1,1,1} -14s_{4,2,1,1,1,1,1,1} -10s_{4,2,2,1,1,1,1} -6s_{4,2,2,2,1,1} -2s_{4,2,2,2,2} -123s_{4,3,1,1,1,1,1} -82s_{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} -s_{3,1,1,1,1,1,1,1,1,1})
SSM-Thom polynomial in Schur-tilde functions (16S_{7,3,1,1} -24S_{7,3,2} -110S_{8,3,1} -112S_{9,3} +S_{5,2,2,2,1} +5S_{6,1,1,1,1,1,1} -13S_{6,2,1,1,1,1} +7S_{6,2,2,1,1} -S_{6,2,2,2} +195S_{10,2} -463S_{11,1} -127S_{12} +S_{4,1,1,1,1,1,1,1,1} -S_{4,2,1,1,1,1,1,1} -S_{4,2,2,1,1,1,1} -3S_{5,1,1,1,1,1,1,1} +5S_{5,2,1,1,1,1,1} +S_{5,2,2,1,1,1} +S_{3,1,1,1,1,1,1,1,1,1} +S_{3,2,1,1,1,1,1,1,1} -7S_{7,1,1,1,1,1} +25S_{7,2,1,1,1} -31S_{7,2,2,1} +9S_{8,1,1,1,1} -9S_{8,2,1,1} -S_{8,2,2} -203S_{9,1,1,1} +301S_{9,2,1} -547S_{10,1,1} -S_{4,2,2,2,1,1} -S_{4,2,2,2,2} +2S_{4,3,1,1,1,1,1} +2S_{4,3,2,1,1,1} +2S_{4,3,2,2,1} -4S_{5,3,2,1,1} -4S_{5,3,2,2} +4S_{5,3,3,1} -6S_{6,3,1,1,1} +14S_{6,3,2,1} -4S_{6,3,3} +S_{3,2,2,1,1,1,1,1} +S_{3,2,2,2,1,1,1} +S_{3,2,2,2,2,1})T^12 +(2S_{4,3,2,2} -4S_{5,3,2,1} +4S_{5,3,3} +97S_{11} +S_{3,2,2,1,1,1,1} +S_{3,2,2,2,1,1} +S_{3,2,2,2,2} -S_{4,2,2,2,1} +2S_{4,3,1,1,1,1} +2S_{4,3,2,1,1} -6S_{6,3,1,1} +14S_{6,3,2} +32S_{7,3,1} +50S_{8,3} -S_{4,2,2,1,1,1} -3S_{5,1,1,1,1,1,1} +5S_{5,2,1,1,1,1} +S_{5,2,2,1,1} +S_{5,2,2,2} +5S_{6,1,1,1,1,1} -13S_{6,2,1,1,1} +7S_{6,2,2,1} -7S_{7,1,1,1,1} +25S_{7,2,1,1} -15S_{7,2,2} +41S_{8,1,1,1} -121S_{8,2,1} +229S_{9,1,1} -99S_{9,2} +293S_{10,1} +S_{3,1,1,1,1,1,1,1,1} +S_{3,2,1,1,1,1,1,1} +S_{4,1,1,1,1,1,1,1} -S_{4,2,1,1,1,1,1})T^11 +(S_{3,1,1,1,1,1,1,1} +S_{3,2,1,1,1,1,1} +S_{4,1,1,1,1,1,1} -S_{4,2,1,1,1,1} -S_{4,2,2,1,1} +S_{3,2,2,1,1,1} +S_{3,2,2,2,1} -S_{4,2,2,2} +2S_{4,3,1,1,1} +2S_{4,3,2,1} -4S_{5,3,2} -6S_{6,3,1} -16S_{7,3} -71S_{10} -3S_{5,1,1,1,1,1} +5S_{5,2,1,1,1} +S_{5,2,2,1} +5S_{6,1,1,1,1} -13S_{6,2,1,1} +7S_{6,2,2} -7S_{7,1,1,1} +41S_{7,2,1} -71S_{8,1,1} +39S_{8,2} -171S_{9,1})T^10 +( -S_{4,2,1,1,1} -S_{4,2,2,1} +2S_{4,3,1,1} +2S_{4,3,2} -3S_{5,1,1,1,1} +5S_{5,2,1,1} +5S_{6,1,1,1} -13S_{6,2,1} +2S_{6,3} +9S_{7,1,1} -7S_{7,2} +89S_{8,1} +49S_{9} +S_{3,1,1,1,1,1,1} +S_{3,2,1,1,1,1} +S_{3,2,2,1,1} +S_{3,2,2,2} +S_{4,1,1,1,1,1} +S_{5,2,2})T^9 +(S_{3,1,1,1,1,1} +S_{3,2,1,1,1} +S_{3,2,2,1} +S_{4,1,1,1,1} -S_{4,2,1,1} -S_{4,2,2} +2S_{4,3,1} -3S_{5,1,1,1} +5S_{5,2,1} +5S_{6,1,1} -5S_{6,2} -39S_{7,1} -31S_{8})T^8 +(2S_{4,3} +S_{3,1,1,1,1} +S_{3,2,1,1} +S_{3,2,2} +S_{4,1,1,1} -S_{4,2,1} -3S_{5,1,1} +5S_{5,2} +13S_{6,1} +17S_{7})T^7 +( -S_{4,2} -3S_{5,1} -7S_{6} +S_{3,1,1,1} +S_{3,2,1} +S_{4,1,1})T^6 +(S_{3,1,1} +S_{3,2} +S_{4,1} +S_{5})T^5 +(S_{3,1} +S_{4})T^4 +T^3S_{3}

codimension 6

Local algebra C[x]/(x^3)
Thom-Boardman class \Sigma^{1,1,0}
Codimension 6
SSM-Thom polynomial in Chern classes T^6(2c_{1}c_{5} +c_{2}c_{4} +c_{3}^2 +4c_{6}) +T^7( -4c_{1}^2c_{5} -2c_{1}c_{2}c_{4} -2c_{1}c_{3}^2 -22c_{1}c_{6} -7c_{2}c_{5} -7c_{3}c_{4} -28c_{7}) +T^8(6c_{1}^3c_{5} +3c_{1}^2c_{2}c_{4} +3c_{1}^2c_{3}^2 +46c_{1}^2c_{6} +13c_{1}c_{2}c_{5} +17c_{1}c_{3}c_{4} -2c_{2}^2c_{4} -2c_{2}c_{3}^2 +128c_{1}c_{7} +22c_{2}c_{6} +22c_{3}c_{5} +8c_{4}^2 +120c_{8}) +T^9( -8c_{1}^4c_{5} -4c_{1}^3c_{2}c_{4} -4c_{1}^3c_{3}^2 -76c_{1}^3c_{6} -18c_{1}^2c_{2}c_{5} -30c_{1}^2c_{3}c_{4} +6c_{1}c_{2}^2c_{4} +6c_{1}c_{2}c_{3}^2 -304c_{1}^2c_{7} -32c_{1}c_{2}c_{6} -73c_{1}c_{3}c_{5} -25c_{1}c_{4}^2 +18c_{2}^2c_{5} +15c_{2}c_{3}c_{4} -3c_{3}^3 -608c_{1}c_{8} -48c_{2}c_{7} -87c_{3}c_{6} -45c_{4}c_{5} -480c_{9}) +T^10(10c_{1}^5c_{5} +5c_{1}^4c_{2}c_{4} +5c_{1}^4c_{3}^2 +112c_{1}^4c_{6} +22c_{1}^3c_{2}c_{5} +46c_{1}^3c_{3}c_{4} -12c_{1}^2c_{2}^2c_{4} -12c_{1}^2c_{2}c_{3}^2 +570c_{1}^3c_{7} +19c_{1}^2c_{2}c_{6} +158c_{1}^2c_{3}c_{5} +53c_{1}^2c_{4}^2 -57c_{1}c_{2}^2c_{5} -54c_{1}c_{2}c_{3}c_{4} +9c_{1}c_{3}^3 +3c_{2}^3c_{4} +3c_{2}^2c_{3}^2 +1736c_{1}^2c_{8} +56c_{1}c_{2}c_{7} +409c_{1}c_{3}c_{6} +181c_{1}c_{4}c_{5} -75c_{2}^2c_{6} -26c_{2}c_{3}c_{5} -25c_{2}c_{4}^2 +36c_{3}^2c_{4} +3074c_{1}c_{9} +225c_{2}c_{8} +475c_{3}c_{7} +174c_{4}c_{6} +68c_{5}^2 +2292c_{10}) +T^11( -12c_{1}^6c_{5} -6c_{1}^5c_{2}c_{4} -6c_{1}^5c_{3}^2 -154c_{1}^5c_{6} -25c_{1}^4c_{2}c_{5} -65c_{1}^4c_{3}c_{4} +20c_{1}^3c_{2}^2c_{4} +20c_{1}^3c_{2}c_{3}^2 -940c_{1}^4c_{7} +28c_{1}^3c_{2}c_{6} -282c_{1}^3c_{3}c_{5} -94c_{1}^3c_{4}^2 +120c_{1}^2c_{2}^2c_{5} +126c_{1}^2c_{2}c_{3}c_{4} -18c_{1}^2c_{3}^3 -12c_{1}c_{2}^3c_{4} -12c_{1}c_{2}^2c_{3}^2 -3750c_{1}^3c_{8} +127c_{1}^2c_{2}c_{7} -1061c_{1}^2c_{3}c_{6} -452c_{1}^2c_{4}c_{5} +259c_{1}c_{2}^2c_{6} +162c_{1}c_{2}c_{3}c_{5} +106c_{1}c_{2}c_{4}^2 -123c_{1}c_{3}^2c_{4} -33c_{2}^3c_{5} -24c_{2}^2c_{3}c_{4} +9c_{2}c_{3}^3 -10448c_{1}^2c_{9} -700c_{1}c_{2}c_{8} -2627c_{1}c_{3}c_{7} -879c_{1}c_{4}c_{6} -336c_{1}c_{5}^2 +189c_{2}^2c_{7} -24c_{2}c_{3}c_{6} +123c_{2}c_{4}c_{5} -187c_{3}^2c_{5} -71c_{3}c_{4}^2 -17630c_{1}c_{10} -1863c_{2}c_{9} -2736c_{3}c_{8} -890c_{4}c_{7} -553c_{5}c_{6} -12588c_{11}) +T^12(14c_{1}^7c_{5} +7c_{1}^6c_{2}c_{4} +7c_{1}^6c_{3}^2 +202c_{1}^6c_{6} +27c_{1}^5c_{2}c_{5} +87c_{1}^5c_{3}c_{4} -30c_{1}^4c_{2}^2c_{4} -30c_{1}^4c_{2}c_{3}^2 +1428c_{1}^5c_{7} -120c_{1}^4c_{2}c_{6} +450c_{1}^4c_{3}c_{5} +150c_{1}^4c_{4}^2 -210c_{1}^3c_{2}^2c_{5} -240c_{1}^3c_{2}c_{3}c_{4} +30c_{1}^3c_{3}^3 +30c_{1}^2c_{2}^3c_{4} +30c_{1}^2c_{2}^2c_{3}^2 +6926c_{1}^4c_{8} -693c_{1}^3c_{2}c_{7} +2147c_{1}^3c_{3}c_{6} +908c_{1}^3c_{4}c_{5} -578c_{1}^2c_{2}^2c_{6} -512c_{1}^2c_{2}c_{3}c_{5} -282c_{1}^2c_{2}c_{4}^2 +276c_{1}^2c_{3}^2c_{4} +142c_{1}c_{2}^3c_{5} +114c_{1}c_{2}^2c_{3}c_{4} -36c_{1}c_{2}c_{3}^3 -4c_{2}^4c_{4} -4c_{2}^3c_{3}^2 +25448c_{1}^3c_{9} +228c_{1}^2c_{2}c_{8} +7618c_{1}^2c_{3}c_{7} +2513c_{1}^2c_{4}c_{6} +945c_{1}^2c_{5}^2 -919c_{1}c_{2}^2c_{7} -564c_{1}c_{2}c_{3}c_{6} -706c_{1}c_{2}c_{4}c_{5} +732c_{1}c_{3}^2c_{5} +287c_{1}c_{3}c_{4}^2 +159c_{2}^3c_{6} -8c_{2}^2c_{3}c_{5} +51c_{2}^2c_{4}^2 -126c_{2}c_{3}^2c_{4} +6c_{3}^4 +66534c_{1}^2c_{10} +7161c_{1}c_{2}c_{9} +16264c_{1}c_{3}c_{8} +4965c_{1}c_{4}c_{7} +3146c_{1}c_{5}c_{6} -657c_{2}^2c_{8} +150c_{2}c_{3}c_{7} -435c_{2}c_{4}c_{6} -102c_{2}c_{5}^2 +904c_{3}^2c_{6} +620c_{3}c_{4}c_{5} -2c_{4}^3 +103768c_{1}c_{11} +11754c_{2}c_{10} +14837c_{3}c_{9} +4609c_{4}c_{8} +2807c_{5}c_{7} +921c_{6}^2 +68728c_{12})
SSM-Thom polynomial in Schur functions T^6(8s_{6} +s_{3,3} +2s_{4,2} +4s_{5,1}) +T^7( -72s_{7} -13s_{4,3} -26s_{5,2} -52s_{6,1} -2s_{3,3,1} -4s_{4,2,1} -8s_{5,1,1}) +T^8(3s_{3,3,1,1} +s_{3,3,2} +6s_{4,2,1,1} +2s_{4,2,2} +29s_{4,3,1} +30s_{4,4} +12s_{5,1,1,1} +58s_{5,2,1} +94s_{5,3} +108s_{6,1,1} +188s_{6,2} +360s_{7,1} +384s_{8}) +T^9( -4s_{3,3,1,1,1} -2s_{3,3,2,1} -s_{3,3,3} -8s_{4,2,1,1,1} -4s_{4,2,2,1} -48s_{4,3,1,1} -21s_{4,3,2} -79s_{4,4,1} -16s_{5,1,1,1,1} -96s_{5,2,1,1} -38s_{5,2,2} -251s_{5,3,1} -240s_{5,4} -176s_{6,1,1,1} -494s_{6,2,1} -567s_{6,3} -836s_{7,1,1} -1118s_{7,2} -1996s_{8,1} -1800s_{9}) +T^10(932s_{6,2,1,1} +478s_{6,2,2} +1987s_{6,3,1} +1757s_{6,4} +1528s_{7,1,1,1} +3710s_{7,2,1} +3727s_{7,3} +5540s_{8,1,1} +7022s_{8,2} +11436s_{9,1} +9480s_{10} +50s_{4,3,2,1} +33s_{4,3,3} +149s_{4,4,1,1} +100s_{4,4,2} +20s_{5,1,1,1,1,1} +140s_{5,2,1,1,1} +88s_{5,2,2,1} +478s_{5,3,1,1} +305s_{5,3,2} +849s_{5,4,1} +502s_{5,5} +256s_{6,1,1,1,1} +5s_{3,3,1,1,1,1} +3s_{3,3,2,1,1} +s_{3,3,2,2} +3s_{3,3,3,1} +10s_{4,2,1,1,1,1} +6s_{4,2,2,1,1} +2s_{4,2,2,2} +70s_{4,3,1,1,1}) +T^11( -11636s_{8,1,1,1} -29190s_{8,2,1} -27838s_{8,3} -38204s_{9,1,1} -49436s_{9,2} -73432s_{10,1} -57312s_{11} -1516s_{6,2,1,1,1} -1296s_{6,2,2,1} -4489s_{6,3,1,1} -3770s_{6,3,2} -8258s_{6,4,1} -5676s_{6,5} -2464s_{7,1,1,1,1} -8186s_{7,2,1,1} -5236s_{7,2,2} -16851s_{7,3,1} -14168s_{7,4} -24s_{5,1,1,1,1,1,1} -190s_{5,2,1,1,1,1} -150s_{5,2,2,1,1} -56s_{5,2,2,2} -782s_{5,3,1,1,1} -858s_{5,3,2,1} -576s_{5,3,3} -1923s_{5,4,1,1} -1793s_{5,4,2} -2379s_{5,5,1} -348s_{6,1,1,1,1,1} -12s_{4,2,1,1,1,1,1} -8s_{4,2,2,1,1,1} -4s_{4,2,2,2,1} -95s_{4,3,1,1,1,1} -87s_{4,3,2,1,1} -34s_{4,3,2,2} -105s_{4,3,3,1} -242s_{4,4,1,1,1} -282s_{4,4,2,1} -256s_{4,4,3} -6s_{3,3,1,1,1,1,1} -4s_{3,3,2,1,1,1} -2s_{3,3,2,2,1} -6s_{3,3,3,1,1} -3s_{3,3,3,2}) +T^12(144028s_{8,3,1} +111816s_{8,4} +90860s_{9,1,1,1} +234360s_{9,2,1} +208724s_{9,3} +275872s_{10,1,1} +353128s_{10,2} +485872s_{11,1} +351872s_{12} +14546s_{6,6} +3672s_{7,1,1,1,1,1} +14986s_{7,2,1,1,1} +16104s_{7,2,2,1} +43655s_{7,3,1,1} +39854s_{7,3,2} +76587s_{7,4,1} +51642s_{7,5} +20964s_{8,1,1,1,1} +73566s_{8,2,1,1} +51372s_{8,2,2} +6656s_{5,5,2} +452s_{6,1,1,1,1,1,1} +2260s_{6,2,1,1,1,1} +2504s_{6,2,2,1,1} +1026s_{6,2,2,2} +8317s_{6,3,1,1,1} +11924s_{6,3,2,1} +7092s_{6,3,3} +21624s_{6,4,1,1} +22029s_{6,4,2} +31361s_{6,5,1} +224s_{5,2,2,1,1,1} +130s_{5,2,2,2,1} +1170s_{5,3,1,1,1,1} +1696s_{5,3,2,1,1} +731s_{5,3,2,2} +1940s_{5,3,3,1} +3564s_{5,4,1,1,1} +5704s_{5,4,2,1} +4584s_{5,4,3} +6242s_{5,5,1,1} +81s_{4,3,2,2,1} +222s_{4,3,3,1,1} +111s_{4,3,3,2} +360s_{4,4,1,1,1,1} +558s_{4,4,2,1,1} +243s_{4,4,2,2} +860s_{4,4,3,1} +522s_{4,4,4} +28s_{5,1,1,1,1,1,1,1} +246s_{5,2,1,1,1,1,1} +8s_{3,3,3,2,1} +s_{3,3,3,3} +14s_{4,2,1,1,1,1,1,1} +10s_{4,2,2,1,1,1,1} +6s_{4,2,2,2,1,1} +2s_{4,2,2,2,2} +123s_{4,3,1,1,1,1,1} +132s_{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} +10s_{3,3,3,1,1,1})
SSM-Thom polynomial in Schur-tilde functions ( -433S_{7,3,1,1} +692S_{7,3,2} +3370S_{7,4,1} +1946S_{7,5} +8326S_{8,3,1} +6000S_{8,4} +15314S_{9,3} -6S_{5,2,2,2,1} -4S_{6,1,1,1,1,1,1} -16S_{6,2,1,1,1,1} +36S_{6,2,2,1,1} +14S_{6,2,2,2} +32854S_{10,2} +55112S_{11,1} +34256S_{12} +2S_{4,2,1,1,1,1,1,1} +2S_{4,2,2,1,1,1,1} +4S_{5,1,1,1,1,1,1,1} -4S_{5,2,1,1,1,1,1} -6S_{5,2,2,1,1,1} -28S_{7,1,1,1,1,1} +192S_{7,2,1,1,1} -292S_{7,2,2,1} +172S_{8,1,1,1,1} -650S_{8,2,1,1} +542S_{8,2,2} +240S_{9,1,1,1} +15654S_{9,2,1} +20024S_{10,1,1} +2S_{4,2,2,2,1,1} +2S_{4,2,2,2,2} -S_{4,3,1,1,1,1,1} -6S_{4,3,2,1,1,1} -6S_{4,3,2,2,1} +5S_{4,3,3,1,1} +5S_{4,3,3,2} -5S_{4,4,1,1,1,1} +10S_{4,4,2,1,1} +5S_{4,4,2,2} -7S_{4,4,3,1} +2S_{4,4,4} -18S_{5,3,1,1,1,1} +45S_{5,3,2,1,1} +26S_{5,3,2,2} -19S_{5,3,3,1} +48S_{5,4,1,1,1} -106S_{5,4,2,1} +42S_{5,4,3} -15S_{5,5,1,1} +30S_{5,5,2} +140S_{6,3,1,1,1} -288S_{6,3,2,1} +69S_{6,3,3} -163S_{6,4,1,1} +279S_{6,4,2} +997S_{6,5,1} +305S_{6,6} +S_{3,3,1,1,1,1,1,1} +S_{3,3,2,1,1,1,1} +S_{3,3,2,2,1,1} +S_{3,3,2,2,2})T^12 +( -6S_{4,3,2,2} +5S_{4,3,3,1} -5S_{4,4,1,1,1} +10S_{4,4,2,1} -7S_{4,4,3} -18S_{5,3,1,1,1} +45S_{5,3,2,1} -19S_{5,3,3} +48S_{5,4,1,1} -82S_{5,4,2} -111S_{5,5,1} -8736S_{11} +S_{3,3,1,1,1,1,1} +S_{3,3,2,1,1,1} +S_{3,3,2,2,1} +2S_{4,2,2,2,1} -S_{4,3,1,1,1,1} -6S_{4,3,2,1,1} +140S_{6,3,1,1} -223S_{6,3,2} -584S_{6,4,1} -411S_{6,5} -1472S_{7,3,1} -1396S_{7,4} -3474S_{8,3} +2S_{4,2,2,1,1,1} +4S_{5,1,1,1,1,1,1} -4S_{5,2,1,1,1,1} -6S_{5,2,2,1,1} -6S_{5,2,2,2} -4S_{6,1,1,1,1,1} -16S_{6,2,1,1,1} +36S_{6,2,2,1} -28S_{7,1,1,1,1} +192S_{7,2,1,1} -194S_{7,2,2} +140S_{8,1,1,1} -2458S_{8,2,1} -3180S_{9,1,1} -6866S_{9,2} -11740S_{10,1} +2S_{4,2,1,1,1,1,1})T^11 +(2S_{4,2,1,1,1,1} +2S_{4,2,2,1,1} +S_{3,3,1,1,1,1} +S_{3,3,2,1,1} +S_{3,3,2,2} +2S_{4,2,2,2} -S_{4,3,1,1,1} -6S_{4,3,2,1} +5S_{4,3,3} -5S_{4,4,1,1} +10S_{4,4,2} -18S_{5,3,1,1} +45S_{5,3,2} +72S_{5,4,1} +48S_{5,5} +205S_{6,3,1} +243S_{6,4} +618S_{7,3} +1800S_{10} +4S_{5,1,1,1,1,1} -4S_{5,2,1,1,1} -6S_{5,2,2,1} -4S_{6,1,1,1,1} -16S_{6,2,1,1} +36S_{6,2,2} -28S_{7,1,1,1} +290S_{7,2,1} +432S_{8,1,1} +1102S_{8,2} +2008S_{9,1})T^10 +(S_{3,3,1,1,1} +S_{3,3,2,1} -S_{4,3,1,1} -6S_{4,3,2} -5S_{4,4,1} +4S_{5,1,1,1,1} -4S_{5,2,1,1} -6S_{5,2,2} -18S_{5,3,1} -24S_{5,4} -4S_{6,1,1,1} -16S_{6,2,1} -66S_{6,3} -44S_{7,1,1} -106S_{7,2} -268S_{8,1} -264S_{9} +2S_{4,2,1,1,1} +2S_{4,2,2,1})T^9 +(S_{3,3,1,1} +S_{3,3,2} +S_{5,3} +2S_{4,2,1,1} +2S_{4,2,2} -S_{4,3,1} +4S_{5,1,1,1} -4S_{5,2,1} -4S_{6,1,1} +6S_{6,2} +40S_{7,1} +32S_{8})T^8 +(S_{3,3,1} -S_{4,3} +2S_{4,2,1} +4S_{5,1,1} -4S_{5,2} -12S_{6,1} -16S_{7})T^7 +(S_{3,3} +2S_{4,2} +4S_{5,1} +8S_{6})T^6

codimension 8

Local algebra C[x,y]/(x^2,xy,y^2)
Thom-Boardman class \Sigma^{2,0}
Codimension 8
SSM-Thom polynomial in Chern classes T^8( -c_{3}c_{5} +c_{4}^2) +T^9(2c_{1}c_{3}c_{5} -2c_{1}c_{4}^2 +2c_{3}c_{6} -2c_{4}c_{5}) +T^10( -3c_{1}^2c_{3}c_{5} +3c_{1}^2c_{4}^2 -3c_{1}c_{3}c_{6} +3c_{1}c_{4}c_{5} +3c_{2}c_{3}c_{5} -3c_{2}c_{4}^2 +3c_{4}c_{6} -3c_{5}^2) +T^11(4c_{1}^3c_{3}c_{5} -4c_{1}^3c_{4}^2 +3c_{1}^2c_{3}c_{6} -3c_{1}^2c_{4}c_{5} -9c_{1}c_{2}c_{3}c_{5} +9c_{1}c_{2}c_{4}^2 -13c_{1}c_{3}c_{7} -2c_{1}c_{4}c_{6} +15c_{1}c_{5}^2 -12c_{2}c_{3}c_{6} +12c_{2}c_{4}c_{5} +c_{3}^2c_{5} -c_{3}c_{4}^2 -18c_{3}c_{8} -7c_{4}c_{7} +25c_{5}c_{6}) +T^12( -5c_{1}^4c_{3}c_{5} +5c_{1}^4c_{4}^2 -2c_{1}^3c_{3}c_{6} +2c_{1}^3c_{4}c_{5} +18c_{1}^2c_{2}c_{3}c_{5} -18c_{1}^2c_{2}c_{4}^2 +44c_{1}^2c_{3}c_{7} -5c_{1}^2c_{4}c_{6} -39c_{1}^2c_{5}^2 +36c_{1}c_{2}c_{3}c_{6} -36c_{1}c_{2}c_{4}c_{5} -2c_{1}c_{3}^2c_{5} +2c_{1}c_{3}c_{4}^2 -6c_{2}^2c_{3}c_{5} +6c_{2}^2c_{4}^2 +113c_{1}c_{3}c_{8} +26c_{1}c_{4}c_{7} -139c_{1}c_{5}c_{6} +27c_{2}c_{3}c_{7} -15c_{2}c_{4}c_{6} -12c_{2}c_{5}^2 +c_{3}^2c_{6} +2c_{3}c_{4}c_{5} -3c_{4}^3 +87c_{3}c_{9} +53c_{4}c_{8} -93c_{5}c_{7} -47c_{6}^2)
SSM-Thom polynomial in Schur functions T^8s_{4,4} +T^9( -2s_{4,4,1} -4s_{5,4}) +T^10(3s_{4,4,1,1} +6s_{5,4,1} +3s_{5,5} +3s_{6,4}) +T^11( -4s_{4,4,1,1,1} +s_{4,4,2,1} +4s_{4,4,3} -6s_{5,4,1,1} +14s_{5,4,2} +18s_{5,5,1} +24s_{6,4,1} +60s_{6,5} +44s_{7,4}) +T^12(5s_{4,4,1,1,1,1} -3s_{4,4,2,1,1} -2s_{4,4,2,2} -13s_{4,4,3,1} -8s_{4,4,4} +4s_{5,4,1,1,1} -50s_{5,4,2,1} -56s_{5,4,3} -69s_{5,5,1,1} -134s_{5,5,2} -90s_{6,4,1,1} -161s_{6,4,2} -459s_{6,5,1} -330s_{6,6} -316s_{7,4,1} -638s_{7,5} -314s_{8,4})
SSM-Thom polynomial in Schur-tilde functions (S_{4,4,1,1,1,1} +3S_{5,4,2,1} +4S_{5,5,1,1} -9S_{5,5,2} +4S_{6,4,1,1} -5S_{6,4,2} -56S_{6,5,1} -21S_{6,6} -38S_{7,4,1} -88S_{7,5} -32S_{8,4} -2S_{5,4,1,1,1})T^12 +(S_{4,4,1,1,1} +11S_{6,4,1} +21S_{6,5} +16S_{7,4} -2S_{5,4,1,1} +3S_{5,4,2} +7S_{5,5,1})T^11 +(S_{4,4,1,1} -2S_{5,4,1} -2S_{5,5} -6S_{6,4})T^10 +(S_{4,4,1} +S_{5,4})T^9 +T^8S_{4,4}

codimension 9

Local algebra C[x]/(x^4)
Thom-Boardman class \Sigma^{1,1,1,1,0}
Codimension 9
SSM-Thom polynomial in Chern classes T^9(12c_{1}^2c_{7} +10c_{1}c_{2}c_{6} +7c_{1}c_{3}c_{5} +c_{1}c_{4}^2 +2c_{2}^2c_{5} +3c_{2}c_{3}c_{4} +c_{3}^3 +60c_{1}c_{8} +26c_{2}c_{7} +17c_{3}c_{6} +5c_{4}c_{5} +72c_{9}) +T^10( -36c_{1}^3c_{7} -30c_{1}^2c_{2}c_{6} -21c_{1}^2c_{3}c_{5} -3c_{1}^2c_{4}^2 -6c_{1}c_{2}^2c_{5} -9c_{1}c_{2}c_{3}c_{4} -3c_{1}c_{3}^3 -360c_{1}^2c_{8} -228c_{1}c_{2}c_{7} -136c_{1}c_{3}c_{6} -50c_{1}c_{4}c_{5} -30c_{2}^2c_{6} -35c_{2}c_{3}c_{5} -10c_{2}c_{4}^2 -15c_{3}^2c_{4} -1116c_{1}c_{9} -390c_{2}c_{8} -215c_{3}c_{7} -90c_{4}c_{6} -25c_{5}^2 -1080c_{10}) +T^11(72c_{1}^4c_{7} +60c_{1}^3c_{2}c_{6} +42c_{1}^3c_{3}c_{5} +6c_{1}^3c_{4}^2 +12c_{1}^2c_{2}^2c_{5} +18c_{1}^2c_{2}c_{3}c_{4} +6c_{1}^2c_{3}^3 +972c_{1}^3c_{8} +630c_{1}^2c_{2}c_{7} +391c_{1}^2c_{3}c_{6} +149c_{1}^2c_{4}c_{5} +72c_{1}c_{2}^2c_{6} +98c_{1}c_{2}c_{3}c_{5} +31c_{1}c_{2}c_{4}^2 +51c_{1}c_{3}^2c_{4} -6c_{2}^3c_{5} -9c_{2}^2c_{3}c_{4} -3c_{2}c_{3}^3 +5040c_{1}^2c_{9} +2436c_{1}c_{2}c_{8} +1386c_{1}c_{3}c_{7} +591c_{1}c_{4}c_{6} +177c_{1}c_{5}^2 +180c_{2}^2c_{7} +212c_{2}c_{3}c_{6} +109c_{2}c_{4}c_{5} +77c_{3}^2c_{5} +52c_{3}c_{4}^2 +11412c_{1}c_{10} +3138c_{2}c_{9} +1697c_{3}c_{8} +756c_{4}c_{7} +385c_{5}c_{6} +9288c_{11}) +T^12( -120c_{1}^5c_{7} -100c_{1}^4c_{2}c_{6} -70c_{1}^4c_{3}c_{5} -10c_{1}^4c_{4}^2 -20c_{1}^3c_{2}^2c_{5} -30c_{1}^3c_{2}c_{3}c_{4} -10c_{1}^3c_{3}^3 -1968c_{1}^4c_{8} -1256c_{1}^3c_{2}c_{7} -816c_{1}^3c_{3}c_{6} -316c_{1}^3c_{4}c_{5} -108c_{1}^2c_{2}^2c_{6} -182c_{1}^2c_{2}c_{3}c_{5} -64c_{1}^2c_{2}c_{4}^2 -114c_{1}^2c_{3}^2c_{4} +24c_{1}c_{2}^3c_{5} +36c_{1}c_{2}^2c_{3}c_{4} +12c_{1}c_{2}c_{3}^3 -13596c_{1}^3c_{9} -6626c_{1}^2c_{2}c_{8} -4235c_{1}^2c_{3}c_{7} -1796c_{1}^2c_{4}c_{6} -549c_{1}^2c_{5}^2 -154c_{1}c_{2}^2c_{7} -555c_{1}c_{2}c_{3}c_{6} -298c_{1}c_{2}c_{4}c_{5} -328c_{1}c_{3}^2c_{5} -207c_{1}c_{3}c_{4}^2 +108c_{2}^3c_{6} +118c_{2}^2c_{3}c_{5} +36c_{2}^2c_{4}^2 +42c_{2}c_{3}^2c_{4} -4c_{3}^4 -49008c_{1}^2c_{10} -17824c_{1}c_{2}c_{9} -11094c_{1}c_{3}c_{8} -4794c_{1}c_{4}c_{7} -2498c_{1}c_{5}c_{6} -366c_{2}^2c_{8} -1007c_{2}c_{3}c_{7} -407c_{2}c_{4}c_{6} -157c_{2}c_{5}^2 -484c_{3}^2c_{6} -442c_{3}c_{4}c_{5} -47c_{4}^3 -89316c_{1}c_{11} -19122c_{2}c_{10} -11421c_{3}c_{9} -4998c_{4}c_{8} -2463c_{5}c_{7} -876c_{6}^2 -63720c_{12})
SSM-Thom polynomial in Schur functions T^9(s_{3,3,3} +5s_{4,3,2} +5s_{4,4,1} +6s_{5,2,2} +19s_{5,3,1} +24s_{5,4} +30s_{6,2,1} +65s_{6,3} +36s_{7,1,1} +114s_{7,2} +180s_{8,1} +216s_{9}) +T^10( -15s_{4,4,1,1} -55s_{4,4,2} -18s_{5,2,2,1} -57s_{5,3,1,1} -165s_{5,3,2} -264s_{5,4,1} -192s_{5,5} -90s_{6,2,1,1} -198s_{6,2,2} -627s_{6,3,1} -712s_{6,4} -108s_{7,1,1,1} -990s_{7,2,1} -1512s_{7,3} -1188s_{8,1,1} -2592s_{8,2} -3888s_{9,1} -3888s_{10} -3s_{3,3,3,1} -15s_{4,3,2,1} -33s_{4,3,3}) +T^11(3240s_{8,1,1,1} +16110s_{8,2,1} +19275s_{8,3} +18684s_{9,1,1} +32310s_{9,2} +45900s_{10,1} +39528s_{11} +180s_{6,2,1,1,1} +630s_{6,2,2,1} +1800s_{6,3,1,1} +2880s_{6,3,2} +5165s_{6,4,1} +3955s_{6,5} +216s_{7,1,1,1,1} +2808s_{7,2,1,1} +3456s_{7,2,2} +10311s_{7,3,1} +9972s_{7,4} +36s_{5,2,2,1,1} +18s_{5,2,2,2} +114s_{5,3,1,1,1} +525s_{5,3,2,1} +576s_{5,3,3} +768s_{5,4,1,1} +1404s_{5,4,2} +1464s_{5,5,1} +30s_{4,3,2,1,1} +15s_{4,3,2,2} +105s_{4,3,3,1} +30s_{4,4,1,1,1} +175s_{4,4,2,1} +254s_{4,4,3} +6s_{3,3,3,1,1} +3s_{3,3,3,2}) +T^12( -120163s_{8,3,1} -100476s_{8,4} -50652s_{9,1,1,1} -184638s_{9,2,1} -185600s_{9,3} -204372s_{10,1,1} -304080s_{10,2} -409392s_{11,1} -313200s_{12} -13080s_{6,6} -360s_{7,1,1,1,1,1} -5748s_{7,2,1,1,1} -11742s_{7,2,2,1} -30105s_{7,3,1,1} -36463s_{7,3,2} -64986s_{7,4,1} -46452s_{7,5} -6552s_{8,1,1,1,1} -46170s_{8,2,1,1} -43482s_{8,2,2} -6186s_{5,5,2} -300s_{6,2,1,1,1,1} -1332s_{6,2,2,1,1} -660s_{6,2,2,2} -3698s_{6,3,1,1,1} -9845s_{6,3,2,1} -7377s_{6,3,3} -15237s_{6,4,1,1} -20447s_{6,4,2} -26623s_{6,5,1} -60s_{5,2,2,1,1,1} -48s_{5,2,2,2,1} -190s_{5,3,1,1,1,1} -1110s_{5,3,2,1,1} -562s_{5,3,2,2} -1995s_{5,3,3,1} -1584s_{5,4,1,1,1} -4806s_{5,4,2,1} -4710s_{5,4,3} -4362s_{5,5,1,1} -40s_{4,3,2,2,1} -222s_{4,3,3,1,1} -120s_{4,3,3,2} -50s_{4,4,1,1,1,1} -370s_{4,4,2,1,1} -190s_{4,4,2,2} -875s_{4,4,3,1} -524s_{4,4,4} -8s_{3,3,3,2,1} -2s_{3,3,3,3} -50s_{4,3,2,1,1,1} -10s_{3,3,3,1,1,1})
SSM-Thom polynomial in Schur-tilde functions ( -42S_{7,3,1,1} -1881S_{7,3,2} -5270S_{7,4,1} -3682S_{7,5} -11731S_{8,3,1} -9704S_{8,4} -22121S_{9,3} +6S_{5,2,2,2,1} +30S_{6,2,1,1,1,1} -42S_{6,2,2,1,1} -36S_{6,2,2,2} -44088S_{10,2} -69624S_{11,1} -47952S_{12} +6S_{5,2,2,1,1,1} +36S_{7,1,1,1,1,1} -216S_{7,2,1,1,1} +108S_{7,2,2,1} -180S_{8,1,1,1,1} +36S_{8,2,1,1} -1860S_{8,2,2} -612S_{9,1,1,1} -20994S_{9,2,1} -24660S_{10,1,1} +5S_{4,3,2,1,1,1} +5S_{4,3,2,2,1} -4S_{4,3,3,1,1} -13S_{4,3,3,2} +5S_{4,4,1,1,1,1} -10S_{4,4,2,1,1} -15S_{4,4,2,2} -14S_{4,4,3,1} -16S_{4,4,4} +19S_{5,3,1,1,1,1} -40S_{5,3,2,1,1} -47S_{5,3,2,2} -39S_{5,3,3,1} -48S_{5,4,1,1,1} +2S_{5,4,2,1} -202S_{5,4,3} -61S_{5,5,1,1} -230S_{5,5,2} -133S_{6,3,1,1,1} +65S_{6,3,2,1} -349S_{6,3,3} -77S_{6,4,1,1} -945S_{6,4,2} -1801S_{6,5,1} -825S_{6,6} +S_{3,3,3,1,1,1} +S_{3,3,3,2,1})T^12 +(5S_{4,3,2,2} -4S_{4,3,3,1} +5S_{4,4,1,1,1} -10S_{4,4,2,1} +7S_{4,4,3} +19S_{5,3,1,1,1} -40S_{5,3,2,1} +16S_{5,3,3} -48S_{5,4,1,1} +82S_{5,4,2} +111S_{5,5,1} +8640S_{11} +S_{3,3,3,1,1} +S_{3,3,3,2} +5S_{4,3,2,1,1} -133S_{6,3,1,1} +210S_{6,3,2} +584S_{6,4,1} +411S_{6,5} +1441S_{7,3,1} +1396S_{7,4} +3425S_{8,3} +6S_{5,2,2,1,1} +6S_{5,2,2,2} +30S_{6,2,1,1,1} -42S_{6,2,2,1} +36S_{7,1,1,1,1} -216S_{7,2,1,1} +210S_{7,2,2} -180S_{8,1,1,1} +2580S_{8,2,1} +2952S_{9,1,1} +6966S_{9,2} +11448S_{10,1})T^11 +(S_{3,3,3,1} +5S_{4,3,2,1} -4S_{4,3,3} +5S_{4,4,1,1} -10S_{4,4,2} +6S_{5,2,2,1} +19S_{5,3,1,1} -40S_{5,3,2} -72S_{5,4,1} -48S_{5,5} +30S_{6,2,1,1} -42S_{6,2,2} -198S_{6,3,1} -243S_{6,4} +36S_{7,1,1,1} -330S_{7,2,1} -601S_{7,3} -360S_{8,1,1} -1140S_{8,2} -1836S_{9,1} -1728S_{10})T^10 +(S_{3,3,3} +5S_{4,3,2} +5S_{4,4,1} +6S_{5,2,2} +19S_{5,3,1} +24S_{5,4} +30S_{6,2,1} +65S_{6,3} +36S_{7,1,1} +114S_{7,2} +180S_{8,1} +216S_{9})T^9

codimension 10

Local algebra C[x,y]/(xy,x^2+y^2)
Thom-Boardman class \Sigma^{2,0}
Codimension 10
SSM-Thom polynomial in Chern classes T^10( -2c_{1}c_{3}c_{6} +2c_{1}c_{4}c_{5} -c_{2}c_{3}c_{5} +c_{2}c_{4}^2 -4c_{3}c_{7} +3c_{4}c_{6} +c_{5}^2) +T^11(6c_{1}^2c_{3}c_{6} -6c_{1}^2c_{4}c_{5} +3c_{1}c_{2}c_{3}c_{5} -3c_{1}c_{2}c_{4}^2 +28c_{1}c_{3}c_{7} -18c_{1}c_{4}c_{6} -10c_{1}c_{5}^2 +8c_{2}c_{3}c_{6} -8c_{2}c_{4}c_{5} +3c_{3}^2c_{5} -3c_{3}c_{4}^2 +32c_{3}c_{8} -13c_{4}c_{7} -19c_{5}c_{6}) +T^12( -12c_{1}^3c_{3}c_{6} +12c_{1}^3c_{4}c_{5} -6c_{1}^2c_{2}c_{3}c_{5} +6c_{1}^2c_{2}c_{4}^2 -78c_{1}^2c_{3}c_{7} +48c_{1}^2c_{4}c_{6} +30c_{1}^2c_{5}^2 -21c_{1}c_{2}c_{3}c_{6} +21c_{1}c_{2}c_{4}c_{5} -10c_{1}c_{3}^2c_{5} +10c_{1}c_{3}c_{4}^2 +3c_{2}^2c_{3}c_{5} -3c_{2}^2c_{4}^2 -188c_{1}c_{3}c_{8} +72c_{1}c_{4}c_{7} +116c_{1}c_{5}c_{6} -28c_{2}c_{3}c_{7} +15c_{2}c_{4}c_{6} +13c_{2}c_{5}^2 -18c_{3}^2c_{6} +11c_{3}c_{4}c_{5} +7c_{4}^3 -160c_{3}c_{9} +43c_{4}c_{8} +67c_{5}c_{7} +50c_{6}^2)

SSM-Thom polynomial in Schur functions T^10(s_{4,4,2} +3s_{5,4,1} +3s_{5,5} +7s_{6,4}) +T^11( -3s_{4,4,2,1} -6s_{4,4,3} -9s_{5,4,1,1} -23s_{5,4,2} -33s_{5,5,1} -57s_{6,4,1} -80s_{6,5} -80s_{7,4}) +T^12(6s_{4,4,2,1,1} +3s_{4,4,2,2} +19s_{4,4,3,1} +20s_{4,4,4} +18s_{5,4,1,1,1} +73s_{5,4,2,1} +90s_{5,4,3} +96s_{5,5,1,1} +164s_{5,5,2} +160s_{6,4,1,1} +244s_{6,4,2} +554s_{6,5,1} +350s_{6,6} +507s_{7,4,1} +763s_{7,5} +525s_{8,4})
SSM-Thom polynomial in Schur-tilde functions (S_{4,4,4} +S_{4,4,2,1,1} +S_{4,4,2,2} -S_{4,4,3,1} +3S_{5,4,1,1,1} -6S_{5,4,2,1} +5S_{5,4,3} -3S_{5,5,1,1} +6S_{5,5,2} -11S_{6,4,1,1} +18S_{6,4,2} +49S_{6,5,1} +22S_{6,6} +71S_{7,4,1} +73S_{7,5} +81S_{8,4})T^12 +(S_{4,4,2,1} -S_{4,4,3} +3S_{5,4,1,1} -6S_{5,4,2} -6S_{5,5,1} -18S_{6,4,1} -20S_{6,5} -31S_{7,4})T^11 +(S_{4,4,2} +3S_{5,4,1} +3S_{5,5} +7S_{6,4})T^10

codimension 11

Local algebra C[x,y]/(x^2,xy,y^3)
Thom-Boardman class \Sigma^{2,0}
Codimension 11
SSM-Thom polynomial in Chern classes T^11( -4c_{1}c_{3}c_{7} +6c_{1}c_{4}c_{6} -2c_{1}c_{5}^2 -2c_{2}c_{3}c_{6} +2c_{2}c_{4}c_{5} -2c_{3}^2c_{5} +2c_{3}c_{4}^2 -8c_{3}c_{8} +12c_{4}c_{7} -4c_{5}c_{6}) +T^12(12c_{1}^2c_{3}c_{7} -18c_{1}^2c_{4}c_{6} +6c_{1}^2c_{5}^2 +6c_{1}c_{2}c_{3}c_{6} -6c_{1}c_{2}c_{4}c_{5} +6c_{1}c_{3}^2c_{5} -6c_{1}c_{3}c_{4}^2 +56c_{1}c_{3}c_{8} -76c_{1}c_{4}c_{7} +20c_{1}c_{5}c_{6} +16c_{2}c_{3}c_{7} -18c_{2}c_{4}c_{6} +2c_{2}c_{5}^2 +10c_{3}^2c_{6} -4c_{3}c_{4}c_{5} -6c_{4}^3 +64c_{3}c_{9} -80c_{4}c_{8} +8c_{5}c_{7} +8c_{6}^2)
SSM-Thom polynomial in Schur functions T^11(2s_{4,4,3} +4s_{5,4,2} +8s_{6,4,1} +16s_{7,4}) +T^12( -6s_{4,4,3,1} -12s_{4,4,4} -12s_{5,4,2,1} -34s_{5,4,3} -20s_{5,5,2} -24s_{6,4,1,1} -68s_{6,4,2} -40s_{6,5,1} -136s_{7,4,1} -80s_{7,5} -176s_{8,4})
SSM-Thom polynomial in Schur-tilde functions (16S_{7,5} -48S_{8,4} -4S_{5,4,3} +4S_{5,5,2} -12S_{6,4,2} +8S_{6,5,1} -32S_{7,4,1} +2S_{4,4,3,1} +4S_{5,4,2,1} +8S_{6,4,1,1})T^12 +(16S_{7,4} +2S_{4,4,3} +4S_{5,4,2} +8S_{6,4,1})T^11

codimension 12

Local algebra C[x]/(x^5)
Thom-Boardman class \Sigma^{1,1,1,1,0}
Codimension 12
SSM-Thom polynomial in Chern classes T^12(144c_{1}^3c_{9} +156c_{1}^2c_{2}c_{8} +76c_{1}^2c_{3}c_{7} +21c_{1}^2c_{4}c_{6} +11c_{1}^2c_{5}^2 +54c_{1}c_{2}^2c_{7} +53c_{1}c_{2}c_{3}c_{6} +17c_{1}c_{2}c_{4}c_{5} +16c_{1}c_{3}^2c_{5} +4c_{1}c_{3}c_{4}^2 +6c_{2}^3c_{6} +9c_{2}^2c_{3}c_{5} +2c_{2}^2c_{4}^2 +6c_{2}c_{3}^2c_{4} +c_{3}^4 +1296c_{1}^2c_{10} +972c_{1}c_{2}c_{9} +468c_{1}c_{3}c_{8} +143c_{1}c_{4}c_{7} +97c_{1}c_{5}c_{6} +174c_{2}^2c_{8} +167c_{2}c_{3}c_{7} +53c_{2}c_{4}c_{6} +16c_{2}c_{5}^2 +46c_{3}^2c_{6} +23c_{3}c_{4}c_{5} +c_{4}^3 +3744c_{1}c_{11} +1464c_{2}c_{10} +704c_{3}c_{9} +238c_{4}c_{8} +124c_{5}c_{7} +62c_{6}^2 +3456c_{12})
SSM-Thom polynomial in Schur functions T^12(3516s_{8,3,1} +3704s_{8,4} +576s_{9,1,1,1} +5040s_{9,2,1} +6920s_{9,3} +5184s_{10,1,1} +11040s_{10,2} +14976s_{11,1} +13824s_{12} +520s_{6,6} +216s_{7,2,2,1} +460s_{7,3,1,1} +1214s_{7,3,2} +1900s_{7,4,1} +1736s_{7,5} +624s_{8,2,1,1} +1320s_{8,2,2} +200s_{5,5,2} +24s_{6,2,2,2} +210s_{6,3,2,1} +285s_{6,3,3} +240s_{6,4,1,1} +666s_{6,4,2} +804s_{6,5,1} +26s_{5,3,2,2} +55s_{5,3,3,1} +104s_{5,4,2,1} +160s_{5,4,3} +76s_{5,5,1,1} +9s_{4,3,3,2} +10s_{4,4,2,2} +21s_{4,4,3,1} +14s_{4,4,4} +s_{3,3,3,3})
SSM-Thom polynomial in Schur-tilde functions (460S_{7,3,1,1} +1214S_{7,3,2} +1900S_{7,4,1} +1736S_{7,5} +3516S_{8,3,1} +3704S_{8,4} +6920S_{9,3} +24S_{6,2,2,2} +11040S_{10,2} +14976S_{11,1} +13824S_{12} +216S_{7,2,2,1} +624S_{8,2,1,1} +1320S_{8,2,2} +576S_{9,1,1,1} +5040S_{9,2,1} +5184S_{10,1,1} +9S_{4,3,3,2} +10S_{4,4,2,2} +21S_{4,4,3,1} +14S_{4,4,4} +26S_{5,3,2,2} +55S_{5,3,3,1} +104S_{5,4,2,1} +160S_{5,4,3} +76S_{5,5,1,1} +200S_{5,5,2} +210S_{6,3,2,1} +285S_{6,3,3} +240S_{6,4,1,1} +666S_{6,4,2} +804S_{6,5,1} +520S_{6,6} +S_{3,3,3,3})T^12

codimension 13

Local algebra C[x,y]/(x^2+y^3,xy)
Thom-Boardman class \Sigma^{2,0}
Codimension 13
SSM-Thom polynomial in Chern classes t^(13)*(-12*c[1]^2*c[3]*c[8] + 10*c[1]^2*c[4]*c[7] + 2*c[1]^2*c[5]*c[6] – 10*c[1]*c[2]*c[3]*c[7] + 9*c[1]*c[2]*c[4]*c[6] + c[1]*c[2]*c[5]^2 – 5*c[1]*c[3]^2*c[6] + 4*c[1]*c[3]*c[4]*c[5] + c[1]*c[4]^3 – 2*c[2]^2*c[3]*c[6] + 2*c[2]^2*c[4]*c[5] – 2*c[2]*c[3]^2*c[5] + 2*c[2]*c[3]*c[4]^2 – 60*c[1]*c[3]*c[9] + 46*c[1]*c[4]*c[8] + 12*c[1]*c[5]*c[7] + 2*c[1]*c[6]^2 – 26*c[2]*c[3]*c[8] + 21*c[2]*c[4]*c[7] + 5*c[2]*c[5]*c[6] – 13*c[3]^2*c[7] + 7*c[3]*c[4]*c[6] + c[3]*c[5]^2 + 5*c[4]^2*c[5] – 72*c[3]*c[10] + 52*c[4]*c[9] + 16*c[5]*c[8] + 4*c[6]*c[7])+hot
SSM-Thom polynomial in Schur functions T^(13)*(208*s[[9, 4]] + 2*s[[4, 4, 3, 2]] + 3*s[[4, 4, 4, 1]] + 4*s[[5, 4, 2, 2]] + 12*s[[5, 4, 3, 1]] + 18*s[[5, 4, 4]] + 12*s[[5, 5, 2, 1]] + 24*s[[5, 5, 3]] + 24*s[[6, 4, 2, 1]] + 50*s[[6, 4, 3]] + 24*s[[6, 5, 1, 1]] + 76*s[[6, 5, 2]] + 56*s[[6, 6, 1]] + 32*s[[7, 4, 1, 1]] + 100*s[[7, 4, 2]] + 152*s[[7, 5, 1]] + 112*s[[7, 6]] + 168*s[[8, 4, 1]] + 208*s[[8, 5]])+hot

codimension 14

Local algebra C[x,y]/(x^2,xy,y^4)
Thom-Boardman class \Sigma^{2,0}
Codimension 14
SSM-Thom polynomial in Chern classes T^(14)*(-36*c[1]^2*c[3]*c[9] + 50*c[1]^2*c[4]*c[8] – 12*c[1]^2*c[5]*c[7] – 2*c[1]^2*c[6]^2 – 30*c[1]*c[2]*c[3]*c[8] + 43*c[1]*c[2]*c[4]*c[7] – 13*c[1]*c[2]*c[5]*c[6] – 13*c[1]*c[3]^2*c[7] + 13*c[1]*c[3]*c[4]*c[6] – 9*c[1]*c[3]*c[5]^2 + 9*c[1]*c[4]^2*c[5] – 6*c[2]^2*c[3]*c[7] + 9*c[2]^2*c[4]*c[6] – 3*c[2]^2*c[5]^2 – 5*c[2]*c[3]^2*c[6] + 2*c[2]*c[3]*c[4]*c[5] + 3*c[2]*c[4]^3 – 2*c[3]^3*c[5] + 2*c[3]^2*c[4]^2 – 180*c[1]*c[3]*c[10] + 246*c[1]*c[4]*c[9] – 58*c[1]*c[5]*c[8] – 8*c[1]*c[6]*c[7] – 78*c[2]*c[3]*c[9] + 109*c[2]*c[4]*c[8] – 30*c[2]*c[5]*c[7] – c[2]*c[6]^2 – 35*c[3]^2*c[8] + 34*c[3]*c[4]*c[7] – 26*c[3]*c[5]*c[6] + 24*c[4]^2*c[6] + 3*c[4]*c[5]^2 – 216*c[3]*c[11] + 292*c[4]*c[10] – 68*c[5]*c[9] – 4*c[6]*c[8] – 4*c[7]^2)+hot
SSM-Thom polynomial in Schur functions T^(14)+(84*s[[7, 4, 2, 1]] + 16*s[[6, 4, 2, 2]] + 50*s[[6, 4, 3, 1]] + 89*s[[6, 4, 4]] + 28*s[[6, 5, 2, 1]] + 62*s[[6, 5, 3]] + 8*s[[6, 6, 1, 1]] + 28*s[[6, 6, 2]] + 12*s[[5, 4, 3, 2]] + 24*s[[5, 4, 4, 1]] + 4*s[[5, 5, 2, 2]] + 12*s[[5, 5, 3, 1]] + 24*s[[5, 5, 4]] + 2*s[[4, 4, 3, 3]] + 5*s[[4, 4, 4, 2]] + 180*s[[7, 4, 3]] + 40*s[[7, 5, 1, 1]] + 128*s[[7, 5, 2]] + 64*s[[7, 6, 1]] + 16*s[[7, 7]] + 104*s[[8, 4, 1, 1]] + 328*s[[8, 4, 2]] + 224*s[[8, 5, 1]] + 96*s[[8, 6]] + 528*s[[9, 4, 1]] + 288*s[[9, 5]] + 640*s[[10, 4]])+hot
Local algebra C[x,y]/(x^3,xy,y^3)
Thom-Boardman class \Sigma^{2,0}
Codimension 14
SSM-Thom polynomial in Chern classes T^(14)*(-2*c[1]^2*c[4]*c[8] – 9*c[1]^2*c[5]*c[7] + 11*c[1]^2*c[6]^2 – 7*c[1]*c[2]*c[4]*c[7] + 7*c[1]*c[2]*c[5]*c[6] – 4*c[1]*c[3]^2*c[7] + 8*c[1]*c[3]*c[4]*c[6] – 2*c[1]*c[3]*c[5]^2 – 2*c[1]*c[4]^2*c[5] – 3*c[2]^2*c[4]*c[6] + 3*c[2]^2*c[5]^2 – 2*c[2]*c[3]^2*c[6] + 3*c[2]*c[3]*c[4]*c[5] – c[2]*c[4]^3 – c[3]^3*c[5] + c[3]^2*c[4]^2 – 6*c[1]*c[4]*c[9] – 21*c[1]*c[5]*c[8] + 27*c[1]*c[6]*c[7] – 13*c[2]*c[4]*c[8] + 21*c[2]*c[5]*c[7] – 8*c[2]*c[6]^2 – 8*c[3]^2*c[8] + 16*c[3]*c[4]*c[7] – 4*c[3]*c[5]*c[6] – 3*c[4]^2*c[6] – c[4]*c[5]^2 – 4*c[4]*c[10] – 6*c[5]*c[9] – 32*c[6]*c[8] + 42*c[7]^2)+hot
SSM-Thom polynomial in Schur functions T^(14)+(s[[4, 4, 3, 3]] + 3*s[[5, 4, 3, 2]] + 6*s[[5, 5, 2, 2]] + 3*s[[5, 5, 3, 1]] + 2*s[[6, 4, 2, 2]] + 7*s[[6, 4, 3, 1]] + 20*s[[6, 5, 2, 1]] + 10*s[[6, 5, 3]] + 28*s[[6, 6, 1, 1]] + 20*s[[6, 6, 2]] + 6*s[[7, 4, 2, 1]] + 15*s[[7, 4, 3]] + 16*s[[7, 5, 1, 1]] + 50*s[[7, 5, 2]] + 100*s[[7, 6, 1]] + 120*s[[7, 7]] + 4*s[[8, 4, 1, 1]] + 14*s[[8, 4, 2]] + 52*s[[8, 5, 1]] + 88*s[[8, 6]] + 12*s[[9, 4, 1]] + 40*s[[9, 5]] + 8*s[[10, 4]])+hot

codimension 15

Local algebra C[x]/(x^6)
Thom-Boardman class \Sigma^{1,1,1,1,1,0}
Codimension 15
SSM-Thom polynomial in Chern classes T^(15)*(2880*c[1]^4*c[11] + 3696*c[1]^3*c[2]*c[10] + 1508*c[1]^3*c[3]*c[9] + 450*c[1]^3*c[4]*c[8] + 268*c[1]^3*c[5]*c[7] + 78*c[1]^3*c[6]^2 + 1704*c[1]^2*c[2]^2*c[9] + 1366*c[1]^2*c[2]*c[3]*c[8] + 389*c[1]^2*c[2]*c[4]*c[7] + 233*c[1]^2*c[2]*c[5]*c[6] + 285*c[1]^2*c[3]^2*c[7] + 136*c[1]^2*c[3]*c[4]*c[6] + 68*c[1]^2*c[3]*c[5]^2 + 19*c[1]^2*c[4]^2*c[5] + 336*c[1]*c[2]^3*c[8] + 400*c[1]*c[2]^2*c[3]*c[7] + 115*c[1]*c[2]^2*c[4]*c[6] + 39*c[1]*c[2]^2*c[5]^2 + 170*c[1]*c[2]*c[3]^2*c[6] + 95*c[1]*c[2]*c[3]*c[4]*c[5] + 5*c[1]*c[2]*c[4]^3 + 30*c[1]*c[3]^3*c[5] + 10*c[1]*c[3]^2*c[4]^2 + 24*c[2]^4*c[7] + 38*c[2]^3*c[3]*c[6] + 12*c[2]^3*c[4]*c[5] + 25*c[2]^2*c[3]^2*c[5] + 10*c[2]^2*c[3]*c[4]^2 + 10*c[2]*c[3]^3*c[4] + c[3]^5 + 40320*c[1]^3*c[12] + 40224*c[1]^2*c[2]*c[11] + 16552*c[1]^2*c[3]*c[10] + 5356*c[1]^2*c[4]*c[9] + 2768*c[1]^2*c[5]*c[8] + 1580*c[1]^2*c[6]*c[7] + 12768*c[1]*c[2]^2*c[10] + 10256*c[1]*c[2]*c[3]*c[9] + 3114*c[1]*c[2]*c[4]*c[8] + 1550*c[1]*c[2]*c[5]*c[7] + 604*c[1]*c[2]*c[6]^2 + 2096*c[1]*c[3]^2*c[8] + 1095*c[1]*c[3]*c[4]*c[7] + 689*c[1]*c[3]*c[5]*c[6] + 130*c[1]*c[4]^2*c[6] + 98*c[1]*c[4]*c[5]^2 + 1296*c[2]^3*c[9] + 1536*c[2]^2*c[3]*c[8] + 453*c[2]^2*c[4]*c[7] + 229*c[2]^2*c[5]*c[6] + 632*c[2]*c[3]^2*c[7] + 344*c[2]*c[3]*c[4]*c[6] + 99*c[2]*c[3]*c[5]^2 + 41*c[2]*c[4]^2*c[5] + 100*c[3]^3*c[6] + 65*c[3]^2*c[4]*c[5] + 5*c[3]*c[4]^3 + 204480*c[1]^2*c[13] + 141456*c[1]*c[2]*c[12] + 59068*c[1]*c[3]*c[11] + 20606*c[1]*c[4]*c[10] + 9916*c[1]*c[5]*c[9] + 5602*c[1]*c[6]*c[8] + 1912*c[1]*c[7]^2 + 23256*c[2]^2*c[11] + 18834*c[2]*c[3]*c[10] + 6117*c[2]*c[4]*c[9] + 2775*c[2]*c[5]*c[8] + 1850*c[2]*c[6]*c[7] + 3811*c[3]^2*c[9] + 2181*c[3]*c[4]*c[8] + 1044*c[3]*c[5]*c[7] + 499*c[3]*c[6]^2 + 262*c[4]^2*c[7] + 302*c[4]*c[5]*c[6] + 29*c[5]^3 + 443520*c[1]*c[14] + 160224*c[2]*c[13] + 68312*c[3]*c[12] + 25548*c[4]*c[11] + 11984*c[5]*c[10] + 6672*c[6]*c[9] + 3740*c[7]*c[8] + 345600*c[15])
SSM-Thom polynomial in Schur functions T^(15)*(s[[3, 3, 3, 3, 3]] + 346200*s[[11, 2, 2]] + 834596*s[[11, 3, 1]] + 726752*s[[11, 4]] + 201600*s[[12, 1, 1, 1]] + 1110480*s[[12, 2, 1]] + 1229704*s[[12, 3]] + 1022400*s[[13, 1, 1]] + 1823520*s[[13, 2]] + 2217600*s[[14, 1]] + 1728000*s[[15]] + 230808*s[[9, 4, 2]] + 281284*s[[9, 5, 1]] + 196496*s[[9, 6]] + 18480*s[[10, 2, 1, 1, 1]] + 100800*s[[10, 2, 2, 1]] + 194264*s[[10, 3, 1, 1]] + 343490*s[[10, 3, 2]] + 515000*s[[10, 4, 1]] + 393832*s[[10, 5]] + 14400*s[[11, 1, 1, 1, 1]] + 244320*s[[11, 2, 1, 1]] + 127244*s[[8, 5, 2]] + 133764*s[[8, 6, 1]] + 79168*s[[8, 7]] + 8520*s[[9, 2, 2, 1, 1]] + 15000*s[[9, 2, 2, 2]] + 15196*s[[9, 3, 1, 1, 1]] + 105840*s[[9, 3, 2, 1]] + 90475*s[[9, 3, 3]] + 121860*s[[9, 4, 1, 1]] + 1680*s[[8, 2, 2, 2, 1]] + 9254*s[[8, 3, 2, 1, 1]] + 17570*s[[8, 3, 2, 2]] + 31136*s[[8, 3, 3, 1]] + 9524*s[[8, 4, 1, 1, 1]] + 71502*s[[8, 4, 2, 1]] + 76169*s[[8, 4, 3]] + 65444*s[[8, 5, 1, 1]] + 11954*s[[7, 4, 2, 2]] + 25619*s[[7, 4, 3, 1]] + 15442*s[[7, 4, 4]] + 4880*s[[7, 5, 1, 1, 1]] + 37418*s[[7, 5, 2, 1]] + 42889*s[[7, 5, 3]] + 27372*s[[7, 6, 1, 1]] + 54352*s[[7, 6, 2]] + 38564*s[[7, 7, 1]] + 120*s[[7, 2, 2, 2, 2]] + 2036*s[[7, 3, 2, 2, 1]] + 2885*s[[7, 3, 3, 1, 1]] + 6839*s[[7, 3, 3, 2]] + 6146*s[[7, 4, 2, 1, 1]] + 2850*s[[6, 5, 2, 1, 1]] + 5498*s[[6, 5, 2, 2]] + 12642*s[[6, 5, 3, 1]] + 9666*s[[6, 5, 4]] + 1432*s[[6, 6, 1, 1, 1]] + 11276*s[[6, 6, 2, 1]] + 13459*s[[6, 6, 3]] + 840*s[[6, 3, 3, 2, 1]] + 910*s[[6, 3, 3, 3]] + 1326*s[[6, 4, 2, 2, 1]] + 2232*s[[6, 4, 3, 1, 1]] + 5352*s[[6, 4, 3, 2]] + 4986*s[[6, 4, 4, 1]] + 154*s[[6, 3, 2, 2, 2]] + 381*s[[5, 4, 4, 1, 1]] + 947*s[[5, 4, 4, 2]] + 430*s[[5, 5, 2, 2, 1]] + 783*s[[5, 5, 3, 1, 1]] + 1817*s[[5, 5, 3, 2]] + 2130*s[[5, 5, 4, 1]] + 972*s[[5, 5, 5]] + 71*s[[5, 3, 3, 2, 2]] + 125*s[[5, 3, 3, 3, 1]] + 92*s[[5, 4, 2, 2, 2]] + 573*s[[5, 4, 3, 2, 1]] + 617*s[[5, 4, 3, 3]] + 56*s[[4, 4, 3, 3, 1]] + 70*s[[4, 4, 4, 2, 1]] + 84*s[[4, 4, 4, 3]] + 14*s[[4, 3, 3, 3, 2]] + 35*s[[4, 4, 3, 2, 2]])
Local algebra C[x,y]/(x^2,xy^2,y^3)
Thom-Boardman class \Sigma^{2,1}
Codimension 15
SSM-Thom polynomial in Chern classes T^15*(-4*c[1]^2*c[4]*c[9] + 2*c[1]^2*c[5]*c[8] + 2*c[1]^2*c[6]*c[7] – 6*c[1]*c[2]*c[4]*c[8] + 6*c[1]*c[2]*c[5]*c[7] – 6*c[1]*c[3]*c[4]*c[7] + 2*c[1]*c[3]*c[5]*c[6] + 6*c[1]*c[4]^2*c[6] – 2*c[1]*c[4]*c[5]^2 – 2*c[2]^2*c[4]*c[7] + 2*c[2]^2*c[5]*c[6] – 4*c[2]*c[3]*c[4]*c[6] + 2*c[2]*c[3]*c[5]^2 + 2*c[2]*c[4]^2*c[5] – 2*c[3]^2*c[4]*c[5] + 2*c[3]*c[4]^3 – 12*c[1]*c[4]*c[10] + 2*c[1]*c[5]*c[9] + 12*c[1]*c[6]*c[8] – 2*c[1]*c[7]^2 – 10*c[2]*c[4]*c[9] + 10*c[2]*c[5]*c[8] – 10*c[3]*c[4]*c[8] + 2*c[3]*c[5]*c[7] + 10*c[4]^2*c[7] – 2*c[5]^3 – 8*c[4]*c[11] – 4*c[5]*c[10] + 12*c[6]*c[9])
SSM-Thom polynomial in Schur functions T^(15)*(16*s[[11, 4]] + 28*s[[9, 4, 2]] + 80*s[[9, 5, 1]] + 96*s[[9, 6]] + 24*s[[10, 4, 1]] + 64*s[[10, 5]] + 72*s[[8, 5, 2]] + 96*s[[8, 6, 1]] + 64*s[[8, 7]] + 8*s[[9, 4, 1, 1]] + 12*s[[8, 4, 2, 1]] + 30*s[[8, 4, 3]] + 24*s[[8, 5, 1, 1]] + 4*s[[7, 4, 2, 2]] + 14*s[[7, 4, 3, 1]] + 30*s[[7, 4, 4]] + 28*s[[7, 5, 2, 1]] + 50*s[[7, 5, 3]] + 24*s[[7, 6, 1, 1]] + 60*s[[7, 6, 2]] + 40*s[[7, 7, 1]] + 8*s[[6, 5, 2, 2]] + 20*s[[6, 5, 3, 1]] + 20*s[[6, 5, 4]] + 16*s[[6, 6, 2, 1]] + 20*s[[6, 6, 3]] + 6*s[[6, 4, 3, 2]] + 14*s[[6, 4, 4, 1]] + 6*s[[5, 4, 4, 2]] + 6*s[[5, 5, 3, 2]] + 6*s[[5, 5, 4, 1]] + 2*s[[5, 4, 3, 3]] + 2*s[[4, 4, 4, 3]])
Local algebra C[x,y,z]/(xy,xz,yz,x^2-z^2,y^2-z^2)
Thom-Boardman class \Sigma^{3}
Codimension 15
SSM-Thom polynomial in Chern classes T^15*(-c[3]*c[5]*c[7] + c[3]*c[6]^2 + c[4]^2*c[7] – 2*c[4]*c[5]*c[6] + c[5]^3)
SSM-Thom polynomial in Schur functions T^(15)*s[[5, 5, 5]]

codimension 16

Local algebra C[x,y]/(x^2+y^4,xy)
Thom-Boardman class \Sigma^{2,0}
Codimension 16
SSM-Thom polynomial in Chern classes T^(16)*( -144*c[1]^3*c[3]*c[10] + 128*c[1]^3*c[4]*c[9] + 52*c[1]^3*c[5]*c[8] – 36*c[1]^3*c[6]*c[7] – 156*c[1]^2*c[2]*c[3]*c[9] + 162*c[1]^2*c[2]*c[4]*c[8] + 24*c[1]^2*c[2]*c[5]*c[7] – 30*c[1]^2*c[2]*c[6]^2 – 52*c[1]^2*c[3]^2*c[8] + 28*c[1]^2*c[3]*c[4]*c[7] – 12*c[1]^2*c[3]*c[5]*c[6] + 16*c[1]^2*c[4]^2*c[6] + 20*c[1]^2*c[4]*c[5]^2 – 54*c[1]*c[2]^2*c[3]*c[8] + 67*c[1]*c[2]^2*c[4]*c[7] – 13*c[1]*c[2]^2*c[5]*c[6] – 33*c[1]*c[2]*c[3]^2*c[7] + 19*c[1]*c[2]*c[3]*c[4]*c[6] – 7*c[1]*c[2]*c[3]*c[5]^2 + 21*c[1]*c[2]*c[4]^2*c[5] – 6*c[1]*c[3]^3*c[6] + 4*c[1]*c[3]^2*c[4]*c[5] + 2*c[1]*c[3]*c[4]^3 – 6*c[2]^3*c[3]*c[7] + 9*c[2]^3*c[4]*c[6] – 3*c[2]^3*c[5]^2 – 5*c[2]^2*c[3]^2*c[6] + 2*c[2]^2*c[3]*c[4]*c[5] + 3*c[2]^2*c[4]^3 – 2*c[2]*c[3]^3*c[5] + 2*c[2]*c[3]^2*c[4]^2 – 1296*c[1]^2*c[3]*c[11] + 1096*c[1]^2*c[4]*c[10] + 376*c[1]^2*c[5]*c[9] – 88*c[1]^2*c[6]*c[8] – 88*c[1]^2*c[7]^2 – 972*c[1]*c[2]*c[3]*c[10] + 938*c[1]*c[2]*c[4]*c[9] + 120*c[1]*c[2]*c[5]*c[8] – 86*c[1]*c[2]*c[6]*c[7] – 348*c[1]*c[3]^2*c[9] + 166*c[1]*c[3]*c[4]*c[8] – 32*c[1]*c[3]*c[5]*c[7] – 42*c[1]*c[3]*c[6]^2 + 114*c[1]*c[4]^2*c[7] + 124*c[1]*c[4]*c[5]*c[6] + 18*c[1]*c[5]^3 – 174*c[2]^2*c[3]*c[9] + 197*c[2]^2*c[4]*c[8] – 30*c[2]^2*c[5]*c[7] + 7*c[2]^2*c[6]^2 – 115*c[2]*c[3]^2*c[8] + 66*c[2]*c[3]*c[4]*c[7] – 28*c[2]*c[3]*c[5]*c[6] + 59*c[2]*c[4]^2*c[6] + 18*c[2]*c[4]*c[5]^2 – 20*c[3]^3*c[7] + 9*c[3]^2*c[4]*c[6] – 2*c[3]^2*c[5]^2 + 12*c[3]*c[4]^2*c[5] + c[4]^4 – 3744*c[1]*c[3]*c[12] + 3040*c[1]*c[4]*c[11] + 880*c[1]*c[5]*c[10] + 220*c[1]*c[6]*c[9] – 396*c[1]*c[7]*c[8] – 1464*c[2]*c[3]*c[11] + 1324*c[2]*c[4]*c[10] + 144*c[2]*c[5]*c[9] + 140*c[2]*c[6]*c[8] – 144*c[2]*c[7]^2 – 560*c[3]^2*c[10] + 232*c[3]*c[4]*c[9] – 33*c[3]*c[5]*c[8] – 79*c[3]*c[6]*c[7] + 189*c[4]^2*c[8] + 115*c[4]*c[5]*c[7] + 87*c[4]*c[6]^2 + 49*c[5]^2*c[6] – 3456*c[3]*c[13] + 2720*c[4]*c[12] + 672*c[5]*c[11] + 504*c[6]*c[10] – 384*c[7]*c[9] – 56*c[8]^2 )
SSM-Thom polynomial in Schur functions T^(16)*(520*s[[9, 4, 1, 1, 1]] + 4464*s[[9, 4, 2, 1]] + 5978*s[[9, 4, 3]] + 5232*s[[9, 5, 1, 1]] + 11000*s[[9, 5, 2]] + 10064*s[[9, 6, 1]] + 3952*s[[9, 7]] + 4832*s[[10, 4, 1, 1]] + 10196*s[[10, 4, 2]] + 16592*s[[10, 5, 1]] + 524*s[[8, 4, 2, 1, 1]] + 1088*s[[8, 4, 2, 2]] + 2816*s[[8, 4, 3, 1]] + 3142*s[[8, 4, 4]] + 512*s[[8, 5, 1, 1, 1]] + 4320*s[[8, 5, 2, 1]] + 6110*s[[8, 5, 3]] + 2552*s[[8, 6, 1, 1]] + 6140*s[[8, 6, 2]] + 3120*s[[8, 7, 1]] + 832*s[[8, 8]] + 13456*s[[12, 4]] + 3047*s[[7, 5, 4]] + 160*s[[7, 6, 1, 1, 1]] + 1868*s[[7, 6, 2, 1]] + 3102*s[[7, 6, 3]] + 568*s[[7, 7, 1, 1]] + 1448*s[[7, 7, 2]] + 2*s[[4, 4, 3, 3, 2]] + 5*s[[4, 4, 4, 2, 2]] + 9*s[[4, 4, 4, 3, 1]] + 8*s[[4, 4, 4, 4]] + 12*s[[5, 4, 3, 2, 2]] + 22*s[[5, 4, 3, 3, 1]] + 63*s[[5, 4, 4, 2, 1]] + 90*s[[5, 4, 4, 3]] + 4*s[[5, 5, 2, 2, 2]] + 56*s[[5, 5, 3, 2, 1]] + 72*s[[5, 5, 3, 3]] + 96*s[[5, 5, 4, 1, 1]] + 226*s[[5, 5, 4, 2]] + 180*s[[5, 5, 5, 1]] + 16*s[[6, 4, 2, 2, 2]] + 126*s[[6, 4, 3, 2, 1]] + 154*s[[6, 4, 3, 3]] + 172*s[[6, 4, 4, 1, 1]] + 463*s[[6, 4, 4, 2]] + 96*s[[6, 5, 2, 2, 1]] + 242*s[[6, 5, 3, 1, 1]] + 600*s[[6, 5, 3, 2]] + 1197*s[[6, 5, 4, 1]] + 693*s[[6, 5, 5]] + 100*s[[6, 6, 2, 1, 1]] + 272*s[[6, 6, 2, 2]] + 836*s[[6, 6, 3, 1]] + 1189*s[[6, 6, 4]] + 164*s[[7, 4, 2, 2, 1]] + 334*s[[7, 4, 3, 1, 1]] + 852*s[[7, 4, 3, 2]] + 1494*s[[7, 4, 4, 1]] + 432*s[[7, 5, 2, 1, 1]] + 868*s[[7, 5, 2, 2]] + 2516*s[[7, 5, 3, 1]] + 11200*s[[10, 6]] + 14312*s[[11, 4, 1]] + 16352*s[[11, 5]] )
Local algebra C[x,y]/(x^3+y^3,xy)
Thom-Boardman class \Sigma^{2,0}
Codimension 15
SSM-Thom polynomial in Chern classes T^16*( -8*c[1]^3*c[4]*c[9] – 32*c[1]^3*c[5]*c[8] + 40*c[1]^3*c[6]*c[7] – 26*c[1]^2*c[2]*c[4]*c[8] – 6*c[1]^2*c[2]*c[5]*c[7] + 32*c[1]^2*c[2]*c[6]^2 – 12*c[1]^2*c[3]^2*c[8] + 9*c[1]^2*c[3]*c[4]*c[7] + 7*c[1]^2*c[3]*c[5]*c[6] + 3*c[1]^2*c[4]^2*c[6] – 7*c[1]^2*c[4]*c[5]^2 – 17*c[1]*c[2]^2*c[4]*c[7] + 17*c[1]*c[2]^2*c[5]*c[6] – 10*c[1]*c[2]*c[3]^2*c[7] + 9*c[1]*c[2]*c[3]*c[4]*c[6] + 5*c[1]*c[2]*c[3]*c[5]^2 – 4*c[1]*c[2]*c[4]^2*c[5] – 3*c[1]*c[3]^3*c[6] + 2*c[1]*c[3]^2*c[4]*c[5] + c[1]*c[3]*c[4]^3 – 3*c[2]^3*c[4]*c[6] + 3*c[2]^3*c[5]^2 – 2*c[2]^2*c[3]^2*c[6] + 3*c[2]^2*c[3]*c[4]*c[5] – c[2]^2*c[4]^3 – c[2]*c[3]^3*c[5] + c[2]*c[3]^2*c[4]^2 – 52*c[1]^2*c[4]*c[10] – 186*c[1]^2*c[5]*c[9] + 124*c[1]^2*c[6]*c[8] + 114*c[1]^2*c[7]^2 – 128*c[1]*c[2]*c[4]*c[9] + c[1]*c[2]*c[5]*c[8] + 127*c[1]*c[2]*c[6]*c[7] – 60*c[1]*c[3]^2*c[9] + 36*c[1]*c[3]*c[4]*c[8] + 20*c[1]*c[3]*c[5]*c[7] + 20*c[1]*c[3]*c[6]^2 + 8*c[1]*c[4]^2*c[7] – 16*c[1]*c[4]*c[5]*c[6] – 8*c[1]*c[5]^3 – 45*c[2]^2*c[4]*c[8] + 45*c[2]^2*c[5]*c[7] – 26*c[2]*c[3]^2*c[8] + 13*c[2]*c[3]*c[4]*c[7] + 21*c[2]*c[3]*c[5]*c[6] – 11*c[2]*c[4]^2*c[6] + 3*c[2]*c[4]*c[5]^2 – 9*c[3]^3*c[7] + 3*c[3]^2*c[4]*c[6] + c[3]^2*c[5]^2 + 5*c[3]*c[4]^2*c[5] – 100*c[1]*c[4]*c[11] – 306*c[1]*c[5]*c[10] – 94*c[1]*c[6]*c[9] + 500*c[1]*c[7]*c[8] – 146*c[2]*c[4]*c[10] + 53*c[2]*c[5]*c[9] – 58*c[2]*c[6]*c[8] + 151*c[2]*c[7]^2 – 72*c[3]^2*c[10] + 39*c[3]*c[4]*c[9] + 25*c[3]*c[5]*c[8] + 24*c[3]*c[6]*c[7] + 5*c[4]^2*c[8] + 26*c[4]*c[5]*c[7] – 29*c[4]*c[6]^2 – 18*c[5]^2*c[6] – 56*c[4]*c[12] – 124*c[5]*c[11] – 364*c[6]*c[10] + 412*c[7]*c[9] + 132*c[8]^2 )
SSM-Thom polynomial in Schur functions T^(16)*( 20*s[[9, 4, 1, 1, 1]] + 216*s[[9, 4, 2, 1]] + 367*s[[9, 4, 3]] + 668*s[[9, 5, 1, 1]] + 1524*s[[9, 5, 2]] + 3428*s[[9, 6, 1]] + 4056*s[[9, 7]] + 136*s[[10, 4, 1, 1]] + 334*s[[10, 4, 2]] + 1416*s[[10, 5, 1]] + 34*s[[8, 4, 2, 1, 1]] + 82*s[[8, 4, 2, 2]] + 256*s[[8, 4, 3, 1]] + 179*s[[8, 4, 4]] + 92*s[[8, 5, 1, 1, 1]] + 918*s[[8, 5, 2, 1]] + 969*s[[8, 5, 3]] + 1488*s[[8, 6, 1, 1]] + 2432*s[[8, 6, 2]] + 3648*s[[8, 7, 1]] + 1816*s[[8, 8]] + 152*s[[12, 4]] + 325*s[[7, 5, 4]] + 188*s[[7, 6, 1, 1, 1]] + 1148*s[[7, 6, 2, 1]] + 985*s[[7, 6, 3]] + 812*s[[7, 7, 1, 1]] + 1450*s[[7, 7, 2]] + s[[4, 4, 3, 3, 2]] + 2*s[[4, 4, 4, 3, 1]] + s[[4, 4, 4, 4]] + 3*s[[5, 4, 3, 2, 2]] + 8*s[[5, 4, 3, 3, 1]] + 6*s[[5, 4, 4, 2, 1]] + 17*s[[5, 4, 4, 3]] + 6*s[[5, 5, 2, 2, 2]] + 24*s[[5, 5, 3, 2, 1]] + 28*s[[5, 5, 3, 3]] + 6*s[[5, 5, 4, 1, 1]] + 45*s[[5, 5, 4, 2]] + 9*s[[5, 5, 5, 1]] + 2*s[[6, 4, 2, 2, 2]] + 24*s[[6, 4, 3, 2, 1]] + 41*s[[6, 4, 3, 3]] + 14*s[[6, 4, 4, 1, 1]] + 49*s[[6, 4, 4, 2]] + 56*s[[6, 5, 2, 2, 1]] + 70*s[[6, 5, 3, 1, 1]] + 203*s[[6, 5, 3, 2]] + 150*s[[6, 5, 4, 1]] + 30*s[[6, 5, 5]] + 116*s[[6, 6, 2, 1, 1]] + 182*s[[6, 6, 2, 2]] + 349*s[[6, 6, 3, 1]] + 130*s[[6, 6, 4]] + 16*s[[7, 4, 2, 2, 1]] + 41*s[[7, 4, 3, 1, 1]] + 123*s[[7, 4, 3, 2]] + 113*s[[7, 4, 4, 1]] + 134*s[[7, 5, 2, 1, 1]] + 316*s[[7, 5, 2, 2]] + 569*s[[7, 5, 3, 1]] + 2408*s[[10, 6]] + 268*s[[11, 4, 1]] + 896*s[[11, 5]] )
Local algebra C[x,y]/(x^2,y^2,z^2,xz,yz)
Thom-Boardman class \Sigma^{3}
Codimension 15
SSM-Thom polynomial in Chern classes T^16*( -3*c[1]*c[3]*c[5]*c[7] + 3*c[1]*c[3]*c[6]^2 + 3*c[1]*c[4]^2*c[7] – 6*c[1]*c[4]*c[5]*c[6] + 3*c[1]*c[5]^3 – 7*c[3]*c[5]*c[8] + 7*c[3]*c[6]*c[7] + 7*c[4]^2*c[8] – 7*c[4]*c[5]*c[7] – 7*c[4]*c[6]^2 + 7*c[5]^2*c[6] )
SSM-Thom polynomial in Schur functions T^(16)*( 10*s[[6, 5, 5]] + 3*s[[5, 5, 5, 1]] )

codimension 17

Local algebra C[x,y]/(x^2,y^5,xy)
Thom-Boardman class \Sigma^{2,0}
Codimension 17
SSM-Thom polynomial in Chern classes T^(17)*( -576*c[1]^3*c[3]*c[11] + 744*c[1]^3*c[4]*c[10] – 140*c[1]^3*c[5]*c[9] – 24*c[1]^3*c[6]*c[8] – 4*c[1]^3*c[7]^2 – 624*c[1]^2*c[2]*c[3]*c[10] + 824*c[1]^2*c[2]*c[4]*c[9] – 174*c[1]^2*c[2]*c[5]*c[8] – 26*c[1]^2*c[2]*c[6]*c[7] – 244*c[1]^2*c[3]^2*c[9] + 234*c[1]^2*c[3]*c[4]*c[8] – 124*c[1]^2*c[3]*c[5]*c[7] – 30*c[1]^2*c[3]*c[6]^2 + 128*c[1]^2*c[4]^2*c[7] + 46*c[1]^2*c[4]*c[5]*c[6] – 10*c[1]^2*c[5]^3 – 216*c[1]*c[2]^2*c[3]*c[9] + 294*c[1]*c[2]^2*c[4]*c[8] – 72*c[1]*c[2]^2*c[5]*c[7] – 6*c[1]*c[2]^2*c[6]^2 – 162*c[1]*c[2]*c[3]^2*c[8] + 167*c[1]*c[2]*c[3]*c[4]*c[7] – 103*c[1]*c[2]*c[3]*c[5]*c[6] + 89*c[1]*c[2]*c[4]^2*c[6] + 9*c[1]*c[2]*c[4]*c[5]^2 – 29*c[1]*c[3]^3*c[7] + 20*c[1]*c[3]^2*c[4]*c[6] – 23*c[1]*c[3]^2*c[5]^2 + 29*c[1]*c[3]*c[4]^2*c[5] + 3*c[1]*c[4]^4 – 24*c[2]^3*c[3]*c[8] + 34*c[2]^3*c[4]*c[7] – 10*c[2]^3*c[5]*c[6] – 26*c[2]^2*c[3]^2*c[7] + 29*c[2]^2*c[3]*c[4]*c[6] – 17*c[2]^2*c[3]*c[5]^2 + 14*c[2]^2*c[4]^2*c[5] – 9*c[2]*c[3]^3*c[6] + 9*c[2]*c[3]*c[4]^3 – 2*c[3]^4*c[5] + 2*c[3]^3*c[4]^2 – 5184*c[1]^2*c[3]*c[12] + 6624*c[1]^2*c[4]*c[11] – 1248*c[1]^2*c[5]*c[10] – 132*c[1]^2*c[6]*c[9] – 60*c[1]^2*c[7]*c[8] – 3888*c[1]*c[2]*c[3]*c[11] + 5052*c[1]*c[2]*c[4]*c[10] – 1044*c[1]*c[2]*c[5]*c[9] – 84*c[1]*c[2]*c[6]*c[8] – 36*c[1]*c[2]*c[7]^2 – 1572*c[1]*c[3]^2*c[10] + 1436*c[1]*c[3]*c[4]*c[9] – 761*c[1]*c[3]*c[5]*c[8] – 243*c[1]*c[3]*c[6]*c[7] + 827*c[1]*c[4]^2*c[8] + 265*c[1]*c[4]*c[5]*c[7] + 145*c[1]*c[4]*c[6]^2 – 97*c[1]*c[5]^2*c[6] – 696*c[2]^2*c[3]*c[10] + 926*c[2]^2*c[4]*c[9] – 216*c[2]^2*c[5]*c[8] – 14*c[2]^2*c[6]*c[7] – 538*c[2]*c[3]^2*c[9] + 525*c[2]*c[3]*c[4]*c[8] – 298*c[2]*c[3]*c[5]*c[7] – 43*c[2]*c[3]*c[6]^2 + 285*c[2]*c[4]^2*c[7] + 89*c[2]*c[4]*c[5]*c[6] – 20*c[2]*c[5]^3 – 99*c[3]^3*c[8] + 65*c[3]^2*c[4]*c[7] – 84*c[3]^2*c[5]*c[6] + 97*c[3]*c[4]^2*c[6] + 2*c[3]*c[4]*c[5]^2 + 19*c[4]^3*c[5] – 14976*c[1]*c[3]*c[13] + 18984*c[1]*c[4]*c[12] – 3580*c[1]*c[5]*c[11] – 220*c[1]*c[6]*c[10] – 164*c[1]*c[7]*c[9] – 44*c[1]*c[8]^2 – 5856*c[2]*c[3]*c[12] + 7516*c[2]*c[4]*c[11] – 1526*c[2]*c[5]*c[10] – 54*c[2]*c[6]*c[9] – 80*c[2]*c[7]*c[8] – 2456*c[3]^2*c[11] + 2146*c[3]*c[4]*c[10] – 1165*c[3]*c[5]*c[9] – 298*c[3]*c[6]*c[8] – 139*c[3]*c[7]^2 + 1319*c[4]^2*c[9] + 398*c[4]*c[5]*c[8] + 382*c[4]*c[6]*c[7] – 128*c[5]^2*c[7] – 59*c[5]*c[6]^2 – 13824*c[3]*c[14] + 17424*c[4]*c[13] – 3288*c[5]*c[12] – 104*c[6]*c[11] – 152*c[7]*c[10] – 56*c[8]*c[9] )
SSM-Thom polynomial in Schur functions T^(17)*( 24*s[[5, 4, 3, 3, 2]] + 47*s[[5, 4, 4, 2, 2]] + 118*s[[5, 4, 4, 3, 1]] + 116*s[[5, 4, 4, 4]] + 30*s[[5, 5, 3, 2, 2]] + 60*s[[5, 5, 3, 3, 1]] + 168*s[[5, 5, 4, 2, 1]] + 276*s[[5, 5, 4, 3]] + 48*s[[5, 5, 5, 1, 1]] + 136*s[[5, 5, 5, 2]] + 2*s[[4, 4, 3, 3, 3]] + 13*s[[4, 4, 4, 3, 2]] + 14*s[[4, 4, 4, 4, 1]] + 82*s[[6, 4, 3, 2, 2]] + 170*s[[6, 4, 3, 3, 1]] + 434*s[[6, 4, 4, 2, 1]] + 725*s[[6, 4, 4, 3]] + 44*s[[6, 5, 2, 2, 2]] + 382*s[[6, 5, 3, 2, 1]] + 506*s[[6, 5, 3, 3]] + 540*s[[6, 5, 4, 1, 1]] + 1511*s[[6, 5, 4, 2]] + 653*s[[6, 5, 5, 1]] + 132*s[[6, 6, 2, 2, 1]] + 302*s[[6, 6, 3, 1, 1]] + 802*s[[6, 6, 3, 2]] + 1513*s[[6, 6, 4, 1]] + 606*s[[6, 6, 5]] + 792*s[[8, 4, 2, 2, 1]] + 1670*s[[8, 4, 3, 1, 1]] + 4378*s[[8, 4, 3, 2]] + 7552*s[[8, 4, 4, 1]] + 1624*s[[8, 5, 2, 1, 1]] + 3416*s[[8, 5, 2, 2]] + 9134*s[[8, 5, 3, 1]] + 10499*s[[8, 5, 4]] + 728*s[[8, 6, 1, 1, 1]] + 6568*s[[8, 6, 2, 1]] + 9410*s[[8, 6, 3]] + 2712*s[[8, 7, 1, 1]] + 6100*s[[8, 7, 2]] + 2512*s[[8, 8, 1]] + 2364*s[[9, 4, 2, 1, 1]] + 4980*s[[9, 4, 2, 2]] + 13176*s[[9, 4, 3, 1]] + 14697*s[[9, 4, 4]] + 1632*s[[9, 5, 1, 1, 1]] + 14220*s[[9, 5, 2, 1]] + 19550*s[[9, 5, 3]] + 7728*s[[9, 6, 1, 1]] + 16756*s[[9, 6, 2]] + 10088*s[[9, 7, 1]] + 3616*s[[9, 8]] + 2232*s[[10, 4, 1, 1, 1]] + 19440*s[[10, 4, 2, 1]] + 26530*s[[10, 4, 3]] + 15480*s[[10, 5, 1, 1]] + 32924*s[[10, 5, 2]] + 24808*s[[10, 6, 1]] + 10736*s[[10, 7]] + 20304*s[[11, 4, 1, 1]] + 43140*s[[11, 4, 2]] + 46392*s[[11, 5, 1]] + 24528*s[[11, 6]] + 59112*s[[12, 4, 1]] + 43920*s[[12, 5]] + 54864*s[[13, 4]] + 84*s[[7, 4, 2, 2, 2]] + 720*s[[7, 4, 3, 2, 1]] + 960*s[[7, 4, 3, 3]] + 959*s[[7, 4, 4, 1, 1]] + 2695*s[[7, 4, 4, 2]] + 492*s[[7, 5, 2, 2, 1]] + 1052*s[[7, 5, 3, 1, 1]] + 2752*s[[7, 5, 3, 2]] + 4957*s[[7, 5, 4, 1]] + 1630*s[[7, 5, 5]] + 628*s[[7, 6, 2, 1, 1]] + 1352*s[[7, 6, 2, 2]] + 3776*s[[7, 6, 3, 1]] + 4559*s[[7, 6, 4]] + 176*s[[7, 7, 1, 1, 1]] + 1708*s[[7, 7, 2, 1]] + 2550*s[[7, 7, 3]] )
Local algebra C[x,y]/(x^3,y^4,xy)
Thom-Boardman class \Sigma^{2,0}
Codimension 15
SSM-Thom polynomial in Chern classes T^17*( -24*c[1]^3*c[4]*c[10] – 92*c[1]^3*c[5]*c[9] + 168*c[1]^3*c[6]*c[8] – 52*c[1]^3*c[7]^2 – 80*c[1]^2*c[2]*c[4]*c[9] + 10*c[1]^2*c[2]*c[5]*c[8] + 70*c[1]^2*c[2]*c[6]*c[7] – 36*c[1]^2*c[3]^2*c[9] + 50*c[1]^2*c[3]*c[4]*c[8] – 72*c[1]^2*c[3]*c[5]*c[7] + 70*c[1]^2*c[3]*c[6]^2 – 20*c[1]^2*c[4]^2*c[7] + 14*c[1]^2*c[4]*c[5]*c[6] – 6*c[1]^2*c[5]^3 – 54*c[1]*c[2]^2*c[4]*c[8] + 48*c[1]*c[2]^2*c[5]*c[7] + 6*c[1]*c[2]^2*c[6]^2 – 30*c[1]*c[2]*c[3]^2*c[8] + 11*c[1]*c[2]*c[3]*c[4]*c[7] + 29*c[1]*c[2]*c[3]*c[5]*c[6] – 15*c[1]*c[2]*c[4]^2*c[6] + 5*c[1]*c[2]*c[4]*c[5]^2 – 17*c[1]*c[3]^3*c[7] + 28*c[1]*c[3]^2*c[4]*c[6] – 11*c[1]*c[3]^2*c[5]^2 + c[1]*c[3]*c[4]^2*c[5] – c[1]*c[4]^4 – 10*c[2]^3*c[4]*c[7] + 10*c[2]^3*c[5]*c[6] – 6*c[2]^2*c[3]^2*c[7] – 5*c[2]^2*c[3]*c[4]*c[6] + 13*c[2]^2*c[3]*c[5]^2 – 2*c[2]^2*c[4]^2*c[5] – 7*c[2]*c[3]^3*c[6] + 8*c[2]*c[3]^2*c[4]*c[5] – c[2]*c[3]*c[4]^3 – 2*c[3]^4*c[5] + 2*c[3]^3*c[4]^2 – 144*c[1]^2*c[4]*c[11] – 504*c[1]^2*c[5]*c[10] + 684*c[1]^2*c[6]*c[9] – 36*c[1]^2*c[7]*c[8] – 372*c[1]*c[2]*c[4]*c[10] + 200*c[1]*c[2]*c[5]*c[9] + 12*c[1]*c[2]*c[6]*c[8] + 160*c[1]*c[2]*c[7]^2 – 180*c[1]*c[3]^2*c[10] + 264*c[1]*c[3]*c[4]*c[9] – 219*c[1]*c[3]*c[5]*c[8] + 195*c[1]*c[3]*c[6]*c[7] – 75*c[1]*c[4]^2*c[8] – 25*c[1]*c[4]*c[5]*c[7] + 51*c[1]*c[4]*c[6]^2 – 11*c[1]*c[5]^2*c[6] – 134*c[2]^2*c[4]*c[9] + 164*c[2]^2*c[5]*c[8] – 30*c[2]^2*c[6]*c[7] – 78*c[2]*c[3]^2*c[9] + 41*c[2]*c[3]*c[4]*c[8] + 118*c[2]*c[3]*c[5]*c[7] – 55*c[2]*c[3]*c[6]^2 – 33*c[2]*c[4]^2*c[7] – 7*c[2]*c[4]*c[5]*c[6] + 14*c[2]*c[5]^3 – 43*c[3]^3*c[8] + 67*c[3]^2*c[4]*c[7] – 30*c[3]^2*c[5]*c[6] + 11*c[3]*c[4]^2*c[6] – 5*c[4]^3*c[5] – 264*c[1]*c[4]*c[12] – 772*c[1]*c[5]*c[11] + 212*c[1]*c[6]*c[10] + 1348*c[1]*c[7]*c[9] – 524*c[1]*c[8]^2 – 412*c[2]*c[4]*c[11] + 430*c[2]*c[5]*c[10] – 510*c[2]*c[6]*c[9] + 492*c[2]*c[7]*c[8] – 216*c[3]^2*c[11] + 334*c[3]*c[4]*c[10] – 115*c[3]*c[5]*c[9] – 286*c[3]*c[6]*c[8] + 355*c[3]*c[7]^2 – 67*c[4]^2*c[9] – 90*c[4]*c[5]*c[8] + 86*c[4]*c[6]*c[7] + 48*c[5]^2*c[7] – 49*c[5]*c[6]^2 – 144*c[4]*c[13] – 264*c[5]*c[12] – 968*c[6]*c[11] + 2008*c[7]*c[10] – 632*c[8]*c[9] )
SSM-Thom polynomial in Schur functions T^(17)*( 2966*s[[9, 5, 3]] + 4704*s[[9, 6, 1, 1]] + 333*s[[6, 5, 4, 2]] + 478*s[[8, 4, 3, 2]] + 432*s[[8, 4, 4, 1]] + 2066*s[[8, 5, 3, 1]] + 1407*s[[8, 5, 4]] + 300*s[[9, 4, 2, 2]] + 888*s[[9, 4, 3, 1]] + 1150*s[[10, 4, 3]] + 2088*s[[10, 5, 1, 1]] + 54*s[[6, 4, 4, 2, 1]] + 75*s[[6, 4, 4, 3]] + 432*s[[13, 4]] + 72*s[[8, 4, 2, 2, 1]] + 170*s[[8, 4, 3, 1, 1]] + 4048*s[[8, 6, 2, 1]] + 3950*s[[8, 6, 3]] + 2712*s[[8, 7, 1, 1]] + 6100*s[[8, 7, 2]] + 210*s[[6, 6, 5]] + 450*s[[7, 5, 5]] + 4556*s[[10, 5, 2]] + 9688*s[[10, 6, 1]] + 567*s[[9, 4, 4]] + 336*s[[9, 5, 1, 1, 1]] + 12*s[[5, 5, 5, 1, 1]] + 134*s[[6, 5, 3, 3]] + 150*s[[6, 5, 4, 1, 1]] + 2512*s[[8, 8, 1]] + 132*s[[9, 4, 2, 1, 1]] + 132*s[[6, 6, 2, 2, 1]] + 302*s[[6, 6, 3, 1, 1]] + 382*s[[6, 6, 3, 2]] + 603*s[[6, 6, 4, 1]] + 1020*s[[11, 4, 2]] + 4056*s[[11, 5, 1]] + 10736*s[[10, 7]] + 432*s[[11, 4, 1, 1]] + 44*s[[6, 5, 2, 2, 2]] + 202*s[[6, 5, 3, 2, 1]] + 54*s[[5, 5, 4, 2, 1]] + 36*s[[5, 5, 4, 3]] + 276*s[[7, 5, 2, 2, 1]] + 368*s[[7, 5, 3, 1, 1]] + 544*s[[8, 5, 2, 1, 1]] + 1184*s[[8, 5, 2, 2]] + 215*s[[6, 5, 5, 1]] + 728*s[[8, 6, 1, 1, 1]] + 892*s[[7, 5, 3, 2]] + 927*s[[7, 5, 4, 1]] + 3060*s[[9, 5, 2, 1]] + 2*s[[4, 4, 3, 3, 3]] + 3*s[[4, 4, 4, 3, 2]] + 120*s[[7, 4, 3, 2, 1]] + 180*s[[7, 4, 3, 3]] + 12*s[[7, 4, 2, 2, 2]] + 9*s[[5, 4, 4, 2, 2]] + 18*s[[5, 4, 4, 3, 1]] + 60*s[[5, 5, 5, 2]] + 72*s[[10, 4, 1, 1, 1]] + 720*s[[10, 4, 2, 1]] + 3616*s[[9, 8]] + 7180*s[[9, 6, 2]] + 10088*s[[9, 7, 1]] + 81*s[[7, 4, 4, 1, 1]] + 225*s[[7, 4, 4, 2]] + 30*s[[5, 5, 3, 2, 2]] + 24*s[[5, 5, 3, 3, 1]] + 12*s[[5, 4, 3, 3, 2]] + 6384*s[[11, 6]] + 792*s[[12, 4, 1]] + 2448*s[[12, 5]] + 628*s[[7, 6, 2, 1, 1]] + 848*s[[7, 6, 2, 2]] + 2180*s[[7, 6, 3, 1]] + 1605*s[[7, 6, 4]] + 176*s[[7, 7, 1, 1, 1]] + 1708*s[[7, 7, 2, 1]] + 2550*s[[7, 7, 3]] + 22*s[[6, 4, 3, 2, 2]] + 50*s[[6, 4, 3, 3, 1]] )
Local algebra C[x,y]/(x^2,y^3)
Thom-Boardman class \Sigma^{2,1}
Codimension 17
SSM-Thom polynomial in Chern classes T^17*( -16*c[1]^3*c[4]*c[10] + 16*c[1]^3*c[6]*c[8] – 28*c[1]^2*c[2]*c[4]*c[9] + 16*c[1]^2*c[2]*c[5]*c[8] + 12*c[1]^2*c[2]*c[6]*c[7] – 22*c[1]^2*c[3]*c[4]*c[8] + 4*c[1]^2*c[3]*c[5]*c[7] + 2*c[1]^2*c[3]*c[6]^2 + 10*c[1]^2*c[4]^2*c[7] + 10*c[1]^2*c[4]*c[5]*c[6] – 4*c[1]^2*c[5]^3 – 14*c[1]*c[2]^2*c[4]*c[8] + 12*c[1]*c[2]^2*c[5]*c[7] + 2*c[1]*c[2]^2*c[6]^2 – 20*c[1]*c[2]*c[3]*c[4]*c[7] + 8*c[1]*c[2]*c[3]*c[5]*c[6] + 10*c[1]*c[2]*c[4]^2*c[6] + 2*c[1]*c[2]*c[4]*c[5]^2 – 6*c[1]*c[3]^2*c[4]*c[6] + 4*c[1]*c[3]*c[4]^2*c[5] + 2*c[1]*c[4]^4 – 2*c[2]^3*c[4]*c[7] + 2*c[2]^3*c[5]*c[6] – 4*c[2]^2*c[3]*c[4]*c[6] + 2*c[2]^2*c[3]*c[5]^2 + 2*c[2]^2*c[4]^2*c[5] – 2*c[2]*c[3]^2*c[4]*c[5] + 2*c[2]*c[3]*c[4]^3 – 104*c[1]^2*c[4]*c[11] – 28*c[1]^2*c[5]*c[10] + 108*c[1]^2*c[6]*c[9] + 24*c[1]^2*c[7]*c[8] – 136*c[1]*c[2]*c[4]*c[10] + 58*c[1]*c[2]*c[5]*c[9] + 64*c[1]*c[2]*c[6]*c[8] + 14*c[1]*c[2]*c[7]^2 – 112*c[1]*c[3]*c[4]*c[9] + 6*c[1]*c[3]*c[5]*c[8] + 18*c[1]*c[3]*c[6]*c[7] + 50*c[1]*c[4]^2*c[8] + 30*c[1]*c[4]*c[5]*c[7] + 22*c[1]*c[4]*c[6]^2 – 14*c[1]*c[5]^2*c[6] – 38*c[2]^2*c[4]*c[9] + 28*c[2]^2*c[5]*c[8] + 10*c[2]^2*c[6]*c[7] – 56*c[2]*c[3]*c[4]*c[8] + 12*c[2]*c[3]*c[5]*c[7] + 8*c[2]*c[3]*c[6]^2 + 24*c[2]*c[4]^2*c[7] + 8*c[2]*c[4]*c[5]*c[6] + 4*c[2]*c[5]^3 – 18*c[3]^2*c[4]*c[7] + 6*c[3]*c[4]^2*c[6] + 2*c[3]*c[4]*c[5]^2 + 10*c[4]^3*c[5] – 200*c[1]*c[4]*c[12] – 124*c[1]*c[5]*c[11] + 200*c[1]*c[6]*c[10] + 124*c[1]*c[7]*c[9] – 148*c[2]*c[4]*c[11] + 46*c[2]*c[5]*c[10] + 62*c[2]*c[6]*c[9] + 40*c[2]*c[7]*c[8] – 130*c[3]*c[4]*c[10] – 6*c[3]*c[5]*c[9] + 26*c[3]*c[6]*c[8] – 2*c[3]*c[7]^2 + 64*c[4]^2*c[9] + 14*c[4]*c[5]*c[8] + 48*c[4]*c[6]*c[7] + 8*c[5]^2*c[7] – 22*c[5]*c[6]^2 – 112*c[4]*c[13] – 136*c[5]*c[12] + 96*c[6]*c[11] + 144*c[7]*c[10] + 8*c[8]*c[9] )
SSM-Thom polynomial in Schur functions T^(17)*( 2*s[[5, 4, 3, 3, 2]] + 6*s[[5, 4, 4, 2, 2]] + 20*s[[5, 4, 4, 3, 1]] + 30*s[[5, 4, 4, 4]] + 6*s[[5, 5, 3, 2, 2]] + 16*s[[5, 5, 3, 3, 1]] + 36*s[[5, 5, 4, 2, 1]] + 78*s[[5, 5, 4, 3]] + 12*s[[5, 5, 5, 1, 1]] + 54*s[[5, 5, 5, 2]] + 2*s[[4, 4, 4, 3, 2]] + 4*s[[4, 4, 4, 4, 1]] + 6*s[[6, 4, 3, 2, 2]] + 16*s[[6, 4, 3, 3, 1]] + 52*s[[6, 4, 4, 2, 1]] + 112*s[[6, 4, 4, 3]] + 8*s[[6, 5, 2, 2, 2]] + 80*s[[6, 5, 3, 2, 1]] + 130*s[[6, 5, 3, 3]] + 100*s[[6, 5, 4, 1, 1]] + 330*s[[6, 5, 4, 2]] + 198*s[[6, 5, 5, 1]] + 48*s[[6, 6, 2, 2, 1]] + 92*s[[6, 6, 3, 1, 1]] + 270*s[[6, 6, 3, 2]] + 398*s[[6, 6, 4, 1]] + 200*s[[6, 6, 5]] + 32*s[[8, 4, 2, 2, 1]] + 82*s[[8, 4, 3, 1, 1]] + 246*s[[8, 4, 3, 2]] + 542*s[[8, 4, 4, 1]] + 200*s[[8, 5, 2, 1, 1]] + 468*s[[8, 5, 2, 2]] + 1258*s[[8, 5, 3, 1]] + 1378*s[[8, 5, 4]] + 192*s[[8, 6, 1, 1, 1]] + 1724*s[[8, 6, 2, 1]] + 2204*s[[8, 6, 3]] + 1176*s[[8, 7, 1, 1]] + 2380*s[[8, 7, 2]] + 1392*s[[8, 8, 1]] + 68*s[[9, 4, 2, 1, 1]] + 164*s[[9, 4, 2, 2]] + 512*s[[9, 4, 3, 1]] + 760*s[[9, 4, 4]] + 144*s[[9, 5, 1, 1, 1]] + 1404*s[[9, 5, 2, 1]] + 2008*s[[9, 5, 3]] + 1640*s[[9, 6, 1, 1]] + 3424*s[[9, 6, 2]] + 3656*s[[9, 7, 1]] + 1952*s[[9, 8]] + 40*s[[10, 4, 1, 1, 1]] + 432*s[[10, 4, 2, 1]] + 734*s[[10, 4, 3]] + 1064*s[[10, 5, 1, 1]] + 2380*s[[10, 5, 2]] + 4024*s[[10, 6, 1]] + 3296*s[[10, 7]] + 272*s[[11, 4, 1, 1]] + 668*s[[11, 4, 2]] + 2296*s[[11, 5, 1]] + 3024*s[[11, 6]] + 536*s[[12, 4, 1]] + 1488*s[[12, 5]] + 304*s[[13, 4]] + 4*s[[7, 4, 2, 2, 2]] + 48*s[[7, 4, 3, 2, 1]] + 82*s[[7, 4, 3, 3]] + 86*s[[7, 4, 4, 1, 1]] + 276*s[[7, 4, 4, 2]] + 80*s[[7, 5, 2, 2, 1]] + 174*s[[7, 5, 3, 1, 1]] + 516*s[[7, 5, 3, 2]] + 836*s[[7, 5, 4, 1]] + 410*s[[7, 5, 5]] + 196*s[[7, 6, 2, 1, 1]] + 444*s[[7, 6, 2, 2]] + 1084*s[[7, 6, 3, 1]] + 1060*s[[7, 6, 4]] + 88*s[[7, 7, 1, 1, 1]] + 752*s[[7, 7, 2, 1]] + 930*s[[7, 7, 3]] )
Local algebra C[x,y,z]/(x^2+y^2+z^2,xy,xz,yz)
Thom-Boardman class \Sigma^{3}
Codimension 17
SSM-Thom polynomial in Chern classes T^17*( -c[1]^2*c[3]*c[5]*c[7] + c[1]^2*c[3]*c[6]^2 + c[1]^2*c[4]^2*c[7] – 2*c[1]^2*c[4]*c[5]*c[6] + c[1]^2*c[5]^3 – 3*c[1]*c[3]*c[5]*c[8] + 3*c[1]*c[3]*c[6]*c[7] + 3*c[1]*c[4]^2*c[8] – 3*c[1]*c[4]*c[5]*c[7] – 3*c[1]*c[4]*c[6]^2 + 3*c[1]*c[5]^2*c[6] + c[2]*c[3]*c[5]*c[7] – c[2]*c[3]*c[6]^2 – c[2]*c[4]^2*c[7] + 2*c[2]*c[4]*c[5]*c[6] – c[2]*c[5]^3 – 2*c[3]*c[5]*c[9] – 4*c[3]*c[6]*c[8] + 6*c[3]*c[7]^2 + 2*c[4]^2*c[9] + 4*c[4]*c[5]*c[8] – 8*c[4]*c[6]*c[7] – 4*c[5]^2*c[7] + 6*c[5]*c[6]^2 )
SSM-Thom polynomial in Schur functions T^(17)*( 4*s[[6, 5, 5, 1]] + s[[5, 5, 5, 1, 1]] + 10*s[[6, 6, 5]] + 5*s[[7, 5, 5]] )