==TRIANGULATION=BEGINS== % Triangulation DT[mcbbiceaibjklmdfgh] geometric_solution 12.48005937 oriented_manifold CS_unknown 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 6 6 11 10 3012 0132 0213 3012 0 0 2 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 0 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343504068680 0.823624667210 7 10 2 3 1023 2310 2103 3120 2 2 2 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -16 16 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.105800146686 0.585989830547 1 13 8 4 2103 0321 1230 0213 2 2 2 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 0 1 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.235260774156 0.641117934328 1 7 4 13 3120 0321 2310 2031 2 2 2 2 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 -17 -16 0 0 16 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.191849619967 1.466996078213 5 3 5 2 2310 3201 3201 0213 2 2 2 2 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -17 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448224873940 0.824856786671 4 5 4 5 2310 1302 3201 2031 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501014288523 0.125173607606 9 0 7 0 3120 0132 3201 1230 0 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568653317079 1.034246172217 6 1 8 3 2310 1023 2103 0321 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006194880629 1.015029722923 7 12 11 2 2103 0321 0132 3012 0 2 2 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.458997628453 0.331657274893 11 11 10 6 0132 1230 2103 3120 2 2 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343504068680 0.823624667210 9 12 0 1 2103 1230 1230 3201 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798991065404 0.878736184957 9 0 9 8 0132 0213 3012 0132 0 2 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568653317079 1.034246172217 13 13 10 8 0132 1230 3012 0321 0 0 2 2 0 1 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 1 0 0 -1 17 -16 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793802565479 1.244867677223 12 3 12 2 0132 1302 3012 0321 2 0 2 2 0 -1 1 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -16 16 0 1 0 -1 0 -17 17 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635839988269 0.571087884641 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_13' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0101_10']), 'c_0101_13' : negation(d['c_0011_8']), 'c_1001_0' : d['1'], 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_13' : negation(d['c_0011_4']), 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : negation(d['c_1001_10']), 'c_1010_10' : negation(d['c_0011_2']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_0011_11' : d['1'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : negation(d['c_0110_8']), 'c_1100_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_10']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0110_8'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_3']), 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['1'], 'c_1100_13' : d['c_0011_10'], 's_0_11' : negation(d['1']), 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : d['1'], 'c_1010_5' : d['c_0011_4'], 's_0_13' : d['1'], 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['1'], 'c_1010_8' : negation(d['c_0011_8']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['1']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['1']), 'c_0011_6' : negation(d['1']), 'c_0011_1' : negation(d['1']), 'c_0011_0' : d['1'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0011_3'], 'c_0110_13' : negation(d['c_0011_2']), 'c_0110_12' : negation(d['c_0011_8']), 'c_1010_4' : d['c_0110_8'], 'c_0101_12' : negation(d['c_0011_2']), 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['1'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['1'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_12']), 'c_0110_0' : d['1'], 'c_0110_3' : negation(d['c_0011_12']), 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : negation(d['c_0011_3']), 'c_0110_6' : d['1'], 'c_1001_1' : d['c_0011_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Lexicographical Order Variables: t, c_0011_10, c_0011_12, c_0011_2, c_0011_3, c_0011_4, c_0011_8, c_0101_10, c_0101_3, c_0101_4, c_0110_8, c_1001_10 Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 3581796326707/122194812207104*c_1001_10^14 - 14669328426813/122194812207104*c_1001_10^13 - 461743113851543/122194812207104*c_1001_10^12 + 2338521331191921/122194812207104*c_1001_10^11 - 322585262921343/8728200871936*c_1001_10^10 + 7433906264560239/61097406103552*c_1001_10^9 - 10260892058244743/61097406103552*c_1001_10^8 + 17016075461505105/61097406103552*c_1001_10^7 - 13440556679516033/122194812207104*c_1001_10^6 - 12315747764432689/122194812207104*c_1001_10^5 + 78350922519414709/122194812207104*c_1001_10^4 - 103254072561181123/122194812207104*c_1001_10^3 + 6927340601160883/7637175762944*c_1001_10^2 - 951949045924311/1909293940736*c_1001_10 + 50533693414445/238661742592, c_0011_10 + 1, c_0011_12 + 37/512*c_1001_10^14 - 303/256*c_1001_10^13 + 2589/512*c_1001_10^12 - 3001/256*c_1001_10^11 + 8527/256*c_1001_10^10 - 3277/64*c_1001_10^9 + 21215/256*c_1001_10^8 - 217/4*c_1001_10^7 - 2091/512*c_1001_10^6 + 38491/256*c_1001_10^5 - 132747/512*c_1001_10^4 + 80497/256*c_1001_10^3 - 15773/64*c_1001_10^2 + 2121/16*c_1001_10 - 81/2, c_0011_2 - 1/1024*c_1001_10^14 + 1/64*c_1001_10^13 - 65/1024*c_1001_10^12 + 77/512*c_1001_10^11 - 229/512*c_1001_10^10 + 5/8*c_1001_10^9 - 633/512*c_1001_10^8 + 145/256*c_1001_10^7 - 533/1024*c_1001_10^6 - 39/16*c_1001_10^5 + 2547/1024*c_1001_10^4 - 2839/512*c_1001_10^3 + 73/32*c_1001_10^2 - 23/8*c_1001_10, c_0011_3 + c_1001_10, c_0011_4 + 5/1024*c_1001_10^14 - 39/512*c_1001_10^13 + 291/1024*c_1001_10^12 - 305/512*c_1001_10^11 + 941/512*c_1001_10^10 - 519/256*c_1001_10^9 + 2171/512*c_1001_10^8 + 51/256*c_1001_10^7 - 455/1024*c_1001_10^6 + 6373/512*c_1001_10^5 - 9609/1024*c_1001_10^4 + 8219/512*c_1001_10^3 - 261/128*c_1001_10^2 + 3*c_1001_10 + 9/2, c_0011_8 - 11/128*c_1001_10^14 + 351/256*c_1001_10^13 - 695/128*c_1001_10^12 + 371/32*c_1001_10^11 - 1103/32*c_1001_10^10 + 5873/128*c_1001_10^9 - 627/8*c_1001_10^8 + 1885/64*c_1001_10^7 + 2179/128*c_1001_10^6 - 44009/256*c_1001_10^5 + 29215/128*c_1001_10^4 - 17513/64*c_1001_10^3 + 5427/32*c_1001_10^2 - 357/4*c_1001_10 + 12, c_0101_10 + c_1001_10 - 1, c_0101_3 - 81/512*c_1001_10^14 + 331/128*c_1001_10^13 - 5627/512*c_1001_10^12 + 6491/256*c_1001_10^11 - 18435/256*c_1001_10^10 + 13975/128*c_1001_10^9 - 45581/256*c_1001_10^8 + 3479/32*c_1001_10^7 + 6399/512*c_1001_10^6 - 21537/64*c_1001_10^5 + 281397/512*c_1001_10^4 - 171235/256*c_1001_10^3 + 31943/64*c_1001_10^2 - 4287/16*c_1001_10 + 143/2, c_0101_4 - 23/512*c_1001_10^14 + 203/256*c_1001_10^13 - 2081/512*c_1001_10^12 + 1413/128*c_1001_10^11 - 7427/256*c_1001_10^10 + 447/8*c_1001_10^9 - 21723/256*c_1001_10^8 + 11579/128*c_1001_10^7 - 10295/512*c_1001_10^6 - 26331/256*c_1001_10^5 + 147479/512*c_1001_10^4 - 1437/4*c_1001_10^3 + 45765/128*c_1001_10^2 - 3169/16*c_1001_10 + 175/2, c_0110_8 + 1/16*c_1001_10^14 - 293/256*c_1001_10^13 + 803/128*c_1001_10^12 - 2217/128*c_1001_10^11 + 693/16*c_1001_10^10 - 11403/128*c_1001_10^9 + 4015/32*c_1001_10^8 - 2287/16*c_1001_10^7 + 1011/64*c_1001_10^6 + 40947/256*c_1001_10^5 - 58095/128*c_1001_10^4 + 68781/128*c_1001_10^3 - 33859/64*c_1001_10^2 + 4491/16*c_1001_10 - 243/2, c_1001_10^15 - 17*c_1001_10^14 + 81*c_1001_10^13 - 219*c_1001_10^12 + 612*c_1001_10^11 - 1098*c_1001_10^10 + 1906*c_1001_10^9 - 1846*c_1001_10^8 + 1113*c_1001_10^7 + 1963*c_1001_10^6 - 5043*c_1001_10^5 + 8225*c_1001_10^4 - 8014*c_1001_10^3 + 6304*c_1001_10^2 - 2944*c_1001_10 + 1024 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.540 seconds, Total memory usage: 5.98MB