Magma V2.19-8 Wed Aug 21 2013 00:59:13 on localhost [Seed = 3220808933] Type ? for help. Type -D to quit. Loading file "L13n6687__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6687 geometric_solution 12.12039739 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 1 0 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 1 -2 1 -2 0 0 2 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.024481973757 1.693310733182 0 5 4 6 0132 0132 0213 0132 2 2 0 1 0 0 0 0 -1 0 0 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 2 0 0 -2 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.008536548897 0.590435641163 5 0 7 3 0132 0132 0132 3120 2 2 0 1 0 0 0 0 -1 0 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 -1 0 1 1 0 -1 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 0.008536548897 0.590435641163 2 6 8 0 3120 0132 0132 0132 2 2 0 2 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 -2 2 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487759013122 0.846655366591 7 1 0 9 0132 0213 0132 0132 2 2 2 1 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 0 -1 1 0 0 -2 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 0.487759013122 0.846655366591 2 1 6 7 0132 0132 2103 0321 2 2 1 0 0 0 0 0 1 0 -1 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 0 0 0 -1 0 2 -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 -0.024481973757 1.693310733182 5 3 1 10 2103 0132 0132 0132 2 2 2 0 0 0 0 0 1 0 -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 -2 0 2 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 0.523113301326 0.864625625923 4 5 11 2 0132 0321 0132 0132 2 2 1 2 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 0 0 0 0 0 -1 1 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523113301326 0.864625625923 11 9 9 3 2103 1023 0132 0132 2 2 2 2 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 -2 0 2 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 0.209743053758 0.757959001309 8 10 4 8 1023 0321 0132 0132 2 2 2 2 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 0 0 0 0 0 1 -1 0 2 0 -2 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 0.209743053758 0.757959001309 12 11 6 9 0132 1023 0132 0321 2 2 2 2 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 1 0 -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 -0.031481932982 1.190599131267 10 12 8 7 1023 2310 2103 0132 2 2 2 2 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 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 -0.031481932982 1.190599131267 10 12 12 11 0132 3201 2310 3201 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 0.022193547224 0.839326418095 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_8'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_0011_8'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_0101_11'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_0101_7'], 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : d['1'], 's_2_10' : negation(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' : 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' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : d['c_1001_9'], 'c_1100_1' : d['c_1001_9'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_3']), 'c_1100_10' : d['c_1001_9'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_9'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_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' : 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_8'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_3']), '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_11' : d['c_0101_7'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0101_10'], 'c_0110_0' : d['c_0011_4'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_10'], 's_2_9' : d['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_3, c_0011_4, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_1001_1, c_1001_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 13726513117077/1607195764883456*c_1100_0^6 + 4781060083171/1607195764883456*c_1100_0^5 - 1144946676853/3214391529766912*c_1100_0^4 - 2571892782113/803597882441728*c_1100_0^3 + 2424244651452379/25715132238135296*c_1100_0^2 - 266228329088485/51430264476270592*c_1100_0 + 467201885189571/3214391529766912, c_0011_0 - 1, c_0011_10 + 1090/1135297*c_1100_0^6 + 70946/1135297*c_1100_0^5 + 6537/1135297*c_1100_0^4 + 283832/1135297*c_1100_0^3 + 87649/9082376*c_1100_0^2 + 2622785/18164752*c_1100_0 + 3410115/2270594, c_0011_3 + 7645960/366700931*c_1100_0^6 + 16044904/366700931*c_1100_0^5 + 68852292/366700931*c_1100_0^4 + 96179648/366700931*c_1100_0^3 + 16816971/38600098*c_1100_0^2 + 1001062213/1466803724*c_1100_0 + 316980991/366700931, c_0011_4 - 1, c_0011_8 + 7234/1135297*c_1100_0^6 - 62430/1135297*c_1100_0^5 + 60049/1135297*c_1100_0^4 - 516040/1135297*c_1100_0^3 + 1114977/9082376*c_1100_0^2 - 17256383/18164752*c_1100_0 - 1865517/2270594, c_0101_0 - 1, c_0101_10 - c_1100_0, c_0101_11 - 16797888/366700931*c_1100_0^6 - 7723264/366700931*c_1100_0^5 - 100607776/366700931*c_1100_0^4 + 2563616/366700931*c_1100_0^3 - 5392806/19300049*c_1100_0^2 - 186673322/366700931*c_1100_0 - 60557382/366700931, c_0101_3 - 15291920/366700931*c_1100_0^6 - 32089808/366700931*c_1100_0^5 - 137704584/366700931*c_1100_0^4 - 192359296/366700931*c_1100_0^3 - 16816971/19300049*c_1100_0^2 - 267660351/733401862*c_1100_0 - 633961982/366700931, c_0101_7 + 16797888/366700931*c_1100_0^6 + 7723264/366700931*c_1100_0^5 + 100607776/366700931*c_1100_0^4 - 2563616/366700931*c_1100_0^3 + 5392806/19300049*c_1100_0^2 + 186673322/366700931*c_1100_0 + 60557382/366700931, c_1001_1 - 7645960/366700931*c_1100_0^6 - 16044904/366700931*c_1100_0^5 - 68852292/366700931*c_1100_0^4 - 96179648/366700931*c_1100_0^3 - 16816971/38600098*c_1100_0^2 + 465741511/1466803724*c_1100_0 - 316980991/366700931, c_1001_9 + 15291920/366700931*c_1100_0^6 + 32089808/366700931*c_1100_0^5 + 137704584/366700931*c_1100_0^4 + 192359296/366700931*c_1100_0^3 + 16816971/19300049*c_1100_0^2 + 267660351/733401862*c_1100_0 + 633961982/366700931, c_1100_0^7 + c_1100_0^6 + 17/2*c_1100_0^5 + 6*c_1100_0^4 + 337/16*c_1100_0^3 + 833/32*c_1100_0^2 + 117/4*c_1100_0 + 44 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB