Magma V2.19-8 Wed Aug 21 2013 00:58:13 on localhost [Seed = 1713405172] Type ? for help. Type -D to quit. Loading file "L13n4843__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4843 geometric_solution 11.64975378 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 -1 0 -1 0 0 1 -3 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419986760213 0.738167529786 0 5 7 6 0132 0132 0132 0132 1 1 1 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 -1 1 0 1 0 0 -1 0 0 0 0 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191467171615 1.075311217063 7 0 8 4 0132 0132 0132 2103 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668215523150 0.396721051580 9 10 7 0 0132 0132 3120 0132 1 1 1 1 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 0 1 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.148882046515 1.989877927671 11 10 0 2 0132 3201 0132 2103 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 0 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 0.553932975612 0.945951564436 7 1 8 9 1023 0132 0321 3201 1 1 0 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 0 0 0 1 -1 0 -6 0 6 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 -0.530527533090 0.683498972566 11 12 1 9 1023 0132 0132 2103 1 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 -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 0.159532642149 0.870483483158 2 5 3 1 0132 1023 3120 0132 1 1 0 1 0 -1 1 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 6 -5 -1 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 0.771960513280 1.405244017914 11 10 5 2 3120 3012 0321 0132 1 1 0 1 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 1 -1 0 0 0 0 0 0 0 0 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.221454802368 0.880497276116 3 5 12 6 0132 2310 3120 2103 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 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 0.106760180438 1.088179113521 8 3 4 12 1230 0132 2310 2310 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 1 0 -1 0 0 -1 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513568799683 0.564196402320 4 6 12 8 0132 1023 1230 3120 1 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 1 0 -1 -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 0.183943793022 1.095915931295 10 6 9 11 3201 0132 3120 3012 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 0 0 0 0 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 -0.054652008434 1.214609980793 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_0110_5'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_0110_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0101_11']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : negation(d['c_0101_5']), '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['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_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' : negation(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' : d['c_0011_8'], 'c_1100_8' : negation(d['c_0101_11']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : d['c_0110_5'], 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : negation(d['c_0110_5']), 'c_1010_8' : negation(d['c_0101_10']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_0']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0110_6' : negation(d['c_0011_8']), '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_1'], 'c_0110_10' : d['c_0011_8'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_5, c_0101_7, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 150110108784/287223473509*c_1001_0^6 - 2865913598318/287223473509*c_1001_0^5 + 1843712665853/41031924787*c_1001_0^4 - 8489209509051/287223473509*c_1001_0^3 + 13679760923097/287223473509*c_1001_0^2 - 1084027232299/287223473509*c_1001_0 + 3228898918555/287223473509, c_0011_0 - 1, c_0011_10 - 3939694/189087211*c_1001_0^6 + 71566937/189087211*c_1001_0^5 - 267003891/189087211*c_1001_0^4 - 132340577/189087211*c_1001_0^3 + 66204020/189087211*c_1001_0^2 - 477788993/189087211*c_1001_0 - 131902209/189087211, c_0011_11 - 2549282/189087211*c_1001_0^6 + 39180692/189087211*c_1001_0^5 - 43239448/189087211*c_1001_0^4 - 566173453/189087211*c_1001_0^3 - 245759539/189087211*c_1001_0^2 - 151563442/189087211*c_1001_0 - 588448692/189087211, c_0011_8 + 5916333/189087211*c_1001_0^6 - 114486443/189087211*c_1001_0^5 + 525255483/189087211*c_1001_0^4 - 223805091/189087211*c_1001_0^3 - 475392366/189087211*c_1001_0^2 + 539804157/189087211*c_1001_0 - 709677654/189087211, c_0101_0 - 1, c_0101_1 - 11067310/189087211*c_1001_0^6 + 203191250/189087211*c_1001_0^5 - 789624439/189087211*c_1001_0^4 - 210153203/189087211*c_1001_0^3 + 113250042/189087211*c_1001_0^2 - 1238766866/189087211*c_1001_0 + 298082517/189087211, c_0101_10 + 4087561/189087211*c_1001_0^6 - 71536635/189087211*c_1001_0^5 + 226810387/189087211*c_1001_0^4 + 336562366/189087211*c_1001_0^3 - 32938588/189087211*c_1001_0^2 + 543827888/189087211*c_1001_0 + 390322483/189087211, c_0101_11 - 147867/189087211*c_1001_0^6 - 30302/189087211*c_1001_0^5 + 40193504/189087211*c_1001_0^4 - 204221789/189087211*c_1001_0^3 - 33265432/189087211*c_1001_0^2 - 66038895/189087211*c_1001_0 - 258420274/189087211, c_0101_3 + 3791827/189087211*c_1001_0^6 - 71597239/189087211*c_1001_0^5 + 307197395/189087211*c_1001_0^4 - 71881212/189087211*c_1001_0^3 - 99469452/189087211*c_1001_0^2 + 600837309/189087211*c_1001_0 - 315605276/189087211, c_0101_5 + 1759231/189087211*c_1001_0^6 - 31203253/189087211*c_1001_0^5 + 104292758/189087211*c_1001_0^4 + 132298771/189087211*c_1001_0^3 - 82930275/189087211*c_1001_0^2 + 136059573/189087211*c_1001_0 + 146885991/189087211, c_0101_7 - 107891/189087211*c_1001_0^6 + 1287346/189087211*c_1001_0^5 + 5728810/189087211*c_1001_0^4 - 68369984/189087211*c_1001_0^3 + 89046992/189087211*c_1001_0^2 - 101870341/189087211*c_1001_0 - 47235873/189087211, c_0110_5 - 10646078/189087211*c_1001_0^6 + 194030819/189087211*c_1001_0^5 - 731206064/189087211*c_1001_0^4 - 342410168/189087211*c_1001_0^3 + 212906572/189087211*c_1001_0^2 - 1033097019/189087211*c_1001_0 + 136212744/189087211, c_1001_0^7 - 18*c_1001_0^6 + 65*c_1001_0^5 + 40*c_1001_0^4 + 14*c_1001_0^3 + 117*c_1001_0^2 + 13*c_1001_0 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.380 Total time: 0.590 seconds, Total memory usage: 32.09MB