Magma V2.19-8 Wed Aug 21 2013 01:03:39 on localhost [Seed = 374345257] Type ? for help. Type -D to quit. Loading file "L14n20889__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n20889 geometric_solution 11.82554880 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 2 -1 0 0 0 0 -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 1 -1 0 1 0 -1 0 8 1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389799188730 0.770874708704 0 5 7 6 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216651781034 0.526258485324 8 0 3 9 0132 0132 0321 0132 0 1 1 1 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 -1 1 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421450036879 1.384743832099 10 11 2 0 0132 0132 0321 0132 0 1 1 1 0 1 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 -1 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 0.990095083270 0.474051511412 10 5 0 8 3120 1302 0132 0213 0 1 1 1 0 0 1 -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 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631290427423 0.797517498107 8 1 9 4 1023 0132 2031 2031 1 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 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 0.044056521121 2.108554871703 10 7 1 12 2103 1230 0132 0132 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 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 0 0 0 0 0 0 0 0.911241772591 1.204784091215 12 10 6 1 0132 2103 3012 0132 1 1 1 1 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 1 -1 -1 9 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.911241772591 1.204784091215 2 5 11 4 0132 1023 0132 0213 0 1 1 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 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 0.256878089681 0.614830823545 12 11 2 5 3012 0213 0132 1302 0 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 0 0 0 0 0 0 0 0 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 1.201318865395 1.055963800024 3 7 6 4 0132 2103 2103 3120 1 1 1 1 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 -9 0 9 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 0.879590924441 0.590914967819 12 3 9 8 1023 0132 0213 0132 0 1 1 1 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 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 0.530409510001 0.412771806519 7 11 6 9 0132 1023 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.825786767985 0.913788512231 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_12' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0101_5'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_4']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0110_9'], 'c_1100_6' : d['c_0110_9'], 'c_1100_1' : d['c_0110_9'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1010_4'], 'c_1100_10' : negation(d['c_0101_1']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_1010_4'], 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_1010_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_9'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : negation(d['c_0101_2']), 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_8, c_0110_5, c_0110_9, c_1001_0, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 15404267171/313632*c_1010_4^9 + 52238483191/104544*c_1010_4^8 - 26468767891/11616*c_1010_4^7 + 322176953315/52272*c_1010_4^6 - 123892272089/11616*c_1010_4^5 + 1266917127899/104544*c_1010_4^4 - 465641242877/52272*c_1010_4^3 + 439405961633/104544*c_1010_4^2 - 123122554141/104544*c_1010_4 + 50561096329/313632, c_0011_0 - 1, c_0011_10 + 39655/1728*c_1010_4^9 - 6864671/29376*c_1010_4^8 + 31239005/29376*c_1010_4^7 - 20990081/7344*c_1010_4^6 + 143431061/29376*c_1010_4^5 - 158963657/29376*c_1010_4^4 + 27891731/7344*c_1010_4^3 - 48605033/29376*c_1010_4^2 + 12243851/29376*c_1010_4 - 449209/9792, c_0011_4 + 245/3456*c_1010_4^9 - 94763/58752*c_1010_4^8 + 722039/58752*c_1010_4^7 - 1435171/29376*c_1010_4^6 + 6926141/58752*c_1010_4^5 - 10543223/58752*c_1010_4^4 + 5004877/29376*c_1010_4^3 - 5527085/58752*c_1010_4^2 + 1691345/58752*c_1010_4 - 238855/58752, c_0011_9 + 15229/1728*c_1010_4^9 - 2639957/29376*c_1010_4^8 + 12018911/29376*c_1010_4^7 - 8066939/7344*c_1010_4^6 + 54938375/29376*c_1010_4^5 - 60419363/29376*c_1010_4^4 + 10434065/7344*c_1010_4^3 - 17662019/29376*c_1010_4^2 + 4291289/29376*c_1010_4 - 147875/9792, c_0101_0 - 9329/3456*c_1010_4^9 + 2175271/58752*c_1010_4^8 - 12701131/58752*c_1010_4^7 + 21158651/29376*c_1010_4^6 - 89087953/58752*c_1010_4^5 + 120891067/58752*c_1010_4^4 - 51932117/29376*c_1010_4^3 + 52686673/58752*c_1010_4^2 - 15245725/58752*c_1010_4 + 633041/19584, c_0101_1 + 12251/1152*c_1010_4^9 - 6105355/58752*c_1010_4^8 + 26513227/58752*c_1010_4^7 - 33790337/29376*c_1010_4^6 + 107907733/58752*c_1010_4^5 - 109617667/58752*c_1010_4^4 + 34103519/29376*c_1010_4^3 - 26094061/58752*c_1010_4^2 + 5480317/58752*c_1010_4 - 485767/58752, c_0101_2 + 5087/576*c_1010_4^9 - 826589/9792*c_1010_4^8 + 1164311/3264*c_1010_4^7 - 4302419/4896*c_1010_4^6 + 13084019/9792*c_1010_4^5 - 4115455/3264*c_1010_4^4 + 3384557/4896*c_1010_4^3 - 2156075/9792*c_1010_4^2 + 34651/1088*c_1010_4 - 4459/3264, c_0101_5 - 1547/192*c_1010_4^9 + 5099/64*c_1010_4^8 - 202123/576*c_1010_4^7 + 261973/288*c_1010_4^6 - 285167/192*c_1010_4^5 + 895411/576*c_1010_4^4 - 290731/288*c_1010_4^3 + 77671/192*c_1010_4^2 - 53053/576*c_1010_4 + 5663/576, c_0101_8 + 12893/864*c_1010_4^9 - 2290619/14688*c_1010_4^8 + 10716815/14688*c_1010_4^7 - 14827567/7344*c_1010_4^6 + 52405085/14688*c_1010_4^5 - 60384095/14688*c_1010_4^4 + 22190449/7344*c_1010_4^3 - 20168573/14688*c_1010_4^2 + 5328665/14688*c_1010_4 - 615031/14688, c_0110_5 + 425/864*c_1010_4^9 - 3821/864*c_1010_4^8 + 14363/864*c_1010_4^7 - 3511/108*c_1010_4^6 + 22967/864*c_1010_4^5 + 14329/864*c_1010_4^4 - 6497/108*c_1010_4^3 + 47317/864*c_1010_4^2 - 19267/864*c_1010_4 + 367/96, c_0110_9 - 1541/192*c_1010_4^9 + 2283433/29376*c_1010_4^8 - 9805375/29376*c_1010_4^7 + 3081257/3672*c_1010_4^6 - 38620891/29376*c_1010_4^5 + 38195467/29376*c_1010_4^4 - 2850641/3672*c_1010_4^3 + 8267887/29376*c_1010_4^2 - 1586521/29376*c_1010_4 + 117565/29376, c_1001_0 - 1, c_1010_4^10 - 178/17*c_1010_4^9 + 840/17*c_1010_4^8 - 2367/17*c_1010_4^7 + 4323/17*c_1010_4^6 - 5286/17*c_1010_4^5 + 4323/17*c_1010_4^4 - 2367/17*c_1010_4^3 + 840/17*c_1010_4^2 - 178/17*c_1010_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.580 seconds, Total memory usage: 32.09MB