Magma V2.19-8 Tue Aug 20 2013 23:42:33 on localhost [Seed = 543573317] Type ? for help. Type -D to quit. Loading file "L13n4343__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4343 geometric_solution 9.84489667 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 -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 1 0 -1 0 0 -2 2 0 7 0 -7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.339754852340 0.567526618154 0 5 7 6 0132 0132 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.195054183086 1.109720153854 8 0 6 9 0132 0132 2103 0132 1 0 1 1 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 -1 1 0 -1 0 0 1 0 -1 0 1 6 -7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.107670097470 1.108813189829 9 7 10 0 3120 0132 0132 0132 1 0 1 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 0 0 0 0 0 0 0 -2 0 0 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 0.602463950892 0.932973089916 8 6 0 9 3120 0132 0132 3120 1 0 1 1 0 0 0 0 0 0 -1 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 1 -1 1 0 -2 1 0 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.270757061571 1.032666213712 8 1 9 10 1023 0132 3012 0321 1 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.065007213972 1.136493673566 2 4 1 10 2103 0132 0132 3120 1 0 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 0 0 -1 7 0 -6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236379938733 0.520931475683 8 3 10 1 2103 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.062087913320 1.024342934774 2 5 7 4 0132 1023 2103 3120 1 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 0 0 0 0 0 0 0 1 0 0 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154567759113 0.757701322354 4 5 2 3 3120 1230 0132 3120 1 0 1 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 0 0 0 0 0 0 0 -1 0 -1 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187620457022 1.224936768974 6 5 7 3 3120 0321 3120 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.339754852340 0.567526618154 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_1001_0']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_3']), 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_9']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0101_1']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_10'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 95871360/11948167*c_1001_1^7 - 66968872/1706881*c_1001_1^6 - 315173240/11948167*c_1001_1^5 + 518520131/11948167*c_1001_1^4 - 189600464/1706881*c_1001_1^3 - 2542019406/11948167*c_1001_1^2 - 1899904509/11948167*c_1001_1 + 1279775646/11948167, c_0011_0 - 1, c_0011_10 + 25683/310342*c_1001_1^7 + 63659/155171*c_1001_1^6 + 81467/310342*c_1001_1^5 - 87404/155171*c_1001_1^4 + 324889/310342*c_1001_1^3 + 324297/155171*c_1001_1^2 + 513971/310342*c_1001_1 - 619779/310342, c_0011_3 + 61171/310342*c_1001_1^7 + 141773/155171*c_1001_1^6 + 99941/310342*c_1001_1^5 - 225063/155171*c_1001_1^4 + 959801/310342*c_1001_1^3 + 718188/155171*c_1001_1^2 + 559553/310342*c_1001_1 - 1230319/310342, c_0011_9 - 29239/155171*c_1001_1^7 - 129890/155171*c_1001_1^6 - 43476/155171*c_1001_1^5 + 179134/155171*c_1001_1^4 - 440839/155171*c_1001_1^3 - 577643/155171*c_1001_1^2 - 334509/155171*c_1001_1 + 586581/155171, c_0101_0 - 1, c_0101_1 - 16194/155171*c_1001_1^7 - 77342/155171*c_1001_1^6 - 33913/155171*c_1001_1^5 + 124777/155171*c_1001_1^4 - 265519/155171*c_1001_1^3 - 472381/155171*c_1001_1^2 - 129990/155171*c_1001_1 + 337195/155171, c_0101_10 + 1550/155171*c_1001_1^7 + 772/155171*c_1001_1^6 - 24676/155171*c_1001_1^5 - 12882/155171*c_1001_1^4 + 51937/155171*c_1001_1^3 - 78490/155171*c_1001_1^2 + 47972/155171*c_1001_1 + 31925/155171, c_0101_3 - 5132/155171*c_1001_1^7 - 25181/155171*c_1001_1^6 - 17608/155171*c_1001_1^5 + 28236/155171*c_1001_1^4 - 81462/155171*c_1001_1^3 - 223655/155171*c_1001_1^2 - 126398/155171*c_1001_1 + 249689/155171, c_0101_7 - 21805/155171*c_1001_1^7 - 104964/155171*c_1001_1^6 - 56309/155171*c_1001_1^5 + 165203/155171*c_1001_1^4 - 276636/155171*c_1001_1^3 - 622726/155171*c_1001_1^2 - 328476/155171*c_1001_1 + 454383/155171, c_1001_0 + 39047/310342*c_1001_1^7 + 89612/155171*c_1001_1^6 + 67331/310342*c_1001_1^5 - 128522/155171*c_1001_1^4 + 591687/310342*c_1001_1^3 + 469462/155171*c_1001_1^2 + 552369/310342*c_1001_1 - 1055307/310342, c_1001_1^8 + 4*c_1001_1^7 - c_1001_1^6 - 8*c_1001_1^5 + 19*c_1001_1^4 + 14*c_1001_1^3 - 3*c_1001_1^2 - 29*c_1001_1 + 14 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB