Magma V2.19-8 Wed Aug 21 2013 00:11:49 on localhost [Seed = 1916018245] Type ? for help. Type -D to quit. Loading file "K13n3004__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3004 geometric_solution 12.26912165 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813498068513 0.495450009539 0 4 4 2 0132 1302 3201 3120 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 0 0 0 0 0 0 -1 0 1 1 0 10 -11 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574076697557 0.475634158085 1 0 6 5 3120 0132 0132 0132 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 0 1 11 0 -11 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437841868389 0.785310593570 5 7 8 0 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817607081028 0.480249383715 1 8 0 1 2310 0213 0132 2031 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 0 0 0 0 0 1 -1 0 0 -1 1 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574076697557 0.475634158085 3 9 2 10 0132 0132 0132 0132 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 0 -1 1 0 0 0 0 -11 0 0 11 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437665347814 0.755016156150 11 8 10 2 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 -11 11 1 0 0 -1 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437665347814 0.755016156150 12 3 9 10 0132 0132 0132 2103 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 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444783522459 1.220260756783 12 6 4 3 3012 0132 0213 0132 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 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817607081028 0.480249383715 11 5 11 7 1230 0132 0132 0132 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 10 0 -10 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 0.130954621967 0.894821819413 12 6 5 7 2031 3201 0132 2103 0 0 0 0 0 1 0 -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 -10 -1 11 0 0 0 0 0 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825251201734 0.830406115256 6 9 12 9 0132 3012 3012 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 -10 10 10 -10 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.130954621967 0.894821819413 7 11 10 8 0132 1230 1302 1230 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 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308916690242 0.678940430383 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_1001_2'], 'c_1010_12' : d['c_0011_4'], 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : negation(d['c_1001_3']), 's_0_10' : d['1'], 's_0_11' : 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['c_0011_4'], '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' : 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' : 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_0110_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : d['c_0011_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : negation(d['c_0011_0']), '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_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' : d['c_0011_12'], 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0011_4'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0101_10'], '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_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_4']})} 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_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_10, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1599/5243*c_1001_3^5 + 6733/5243*c_1001_3^4 + 498/5243*c_1001_3^3 - 9985/5243*c_1001_3^2 - 458/107*c_1001_3 + 58480/5243, c_0011_0 - 1, c_0011_10 - 20/107*c_1001_3^5 - 9/107*c_1001_3^4 + 52/107*c_1001_3^3 + 42/107*c_1001_3^2 - 236/107*c_1001_3 - 122/107, c_0011_11 + 35/107*c_1001_3^5 - 11/107*c_1001_3^4 - 91/107*c_1001_3^3 - 20/107*c_1001_3^2 + 306/107*c_1001_3 + 53/107, c_0011_12 + 35/107*c_1001_3^5 - 11/107*c_1001_3^4 - 91/107*c_1001_3^3 - 20/107*c_1001_3^2 + 306/107*c_1001_3 + 53/107, c_0011_4 + 15/107*c_1001_3^5 - 20/107*c_1001_3^4 - 39/107*c_1001_3^3 + 22/107*c_1001_3^2 + 177/107*c_1001_3 - 69/107, c_0101_0 - 38/107*c_1001_3^5 + 15/107*c_1001_3^4 + 56/107*c_1001_3^3 + 37/107*c_1001_3^2 - 320/107*c_1001_3 + 25/107, c_0101_1 + 64/107*c_1001_3^5 - 14/107*c_1001_3^4 - 145/107*c_1001_3^3 - 113/107*c_1001_3^2 + 584/107*c_1001_3 + 155/107, c_0101_10 + c_1001_3, c_0101_6 - 15/107*c_1001_3^5 + 20/107*c_1001_3^4 + 39/107*c_1001_3^3 - 22/107*c_1001_3^2 - 70/107*c_1001_3 + 69/107, c_0110_10 + 58/107*c_1001_3^5 - 6/107*c_1001_3^4 - 108/107*c_1001_3^3 - 79/107*c_1001_3^2 + 449/107*c_1001_3 + 97/107, c_1001_0 - 15/107*c_1001_3^5 + 20/107*c_1001_3^4 + 39/107*c_1001_3^3 - 22/107*c_1001_3^2 - 177/107*c_1001_3 + 69/107, c_1001_2 + 38/107*c_1001_3^5 - 15/107*c_1001_3^4 - 56/107*c_1001_3^3 - 37/107*c_1001_3^2 + 320/107*c_1001_3 - 25/107, c_1001_3^6 - 2*c_1001_3^4 - 2*c_1001_3^3 + 9*c_1001_3^2 + 4*c_1001_3 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_10, c_1001_0, c_1001_2, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 849157/74368*c_1001_3^7 - 2572957/74368*c_1001_3^6 - 807031/5312*c_1001_3^5 - 450503/1328*c_1001_3^4 - 42381225/74368*c_1001_3^3 - 34678039/74368*c_1001_3^2 - 13723061/74368*c_1001_3 - 2386477/74368, c_0011_0 - 1, c_0011_10 - 292/581*c_1001_3^7 - 432/581*c_1001_3^6 - 2928/581*c_1001_3^5 - 3617/581*c_1001_3^4 - 5928/581*c_1001_3^3 + 252/83*c_1001_3^2 - 640/581*c_1001_3 - 4/83, c_0011_11 + 131/1162*c_1001_3^7 + 461/1162*c_1001_3^6 + 866/581*c_1001_3^5 + 2179/581*c_1001_3^4 + 907/166*c_1001_3^3 + 5387/1162*c_1001_3^2 + 311/1162*c_1001_3 + 1311/1162, c_0011_12 + 131/1162*c_1001_3^7 + 461/1162*c_1001_3^6 + 866/581*c_1001_3^5 + 2179/581*c_1001_3^4 + 907/166*c_1001_3^3 + 5387/1162*c_1001_3^2 + 311/1162*c_1001_3 + 1311/1162, c_0011_4 + 715/1162*c_1001_3^7 + 1325/1162*c_1001_3^6 + 542/83*c_1001_3^5 + 828/83*c_1001_3^4 + 18205/1162*c_1001_3^3 + 1859/1162*c_1001_3^2 + 429/1162*c_1001_3 + 1367/1162, c_0101_0 - 298/581*c_1001_3^7 - 583/581*c_1001_3^6 - 3186/581*c_1001_3^5 - 5137/581*c_1001_3^4 - 1104/83*c_1001_3^3 - 1140/581*c_1001_3^2 + 286/581*c_1001_3 - 472/581, c_0101_1 + 23/166*c_1001_3^7 + 137/1162*c_1001_3^6 + 681/581*c_1001_3^5 + 418/581*c_1001_3^4 + 907/1162*c_1001_3^3 - 4163/1162*c_1001_3^2 - 285/166*c_1001_3 + 211/1162, c_0101_10 + c_1001_3, c_0101_6 + 715/1162*c_1001_3^7 + 1325/1162*c_1001_3^6 + 542/83*c_1001_3^5 + 828/83*c_1001_3^4 + 18205/1162*c_1001_3^3 + 1859/1162*c_1001_3^2 + 1591/1162*c_1001_3 + 1367/1162, c_0110_10 - 6/581*c_1001_3^7 - 151/581*c_1001_3^6 - 258/581*c_1001_3^5 - 1520/581*c_1001_3^4 - 1800/581*c_1001_3^3 - 2904/581*c_1001_3^2 + 345/581*c_1001_3 - 444/581, c_1001_0 - 715/1162*c_1001_3^7 - 1325/1162*c_1001_3^6 - 542/83*c_1001_3^5 - 828/83*c_1001_3^4 - 18205/1162*c_1001_3^3 - 1859/1162*c_1001_3^2 - 429/1162*c_1001_3 - 1367/1162, c_1001_2 + 298/581*c_1001_3^7 + 583/581*c_1001_3^6 + 3186/581*c_1001_3^5 + 5137/581*c_1001_3^4 + 1104/83*c_1001_3^3 + 1140/581*c_1001_3^2 - 286/581*c_1001_3 + 472/581, c_1001_3^8 + 2*c_1001_3^7 + 11*c_1001_3^6 + 18*c_1001_3^5 + 29*c_1001_3^4 + 8*c_1001_3^3 + 4*c_1001_3^2 + 2*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.750 Total time: 4.960 seconds, Total memory usage: 64.12MB