Magma V2.19-8 Tue Aug 20 2013 16:19:25 on localhost [Seed = 1343343983] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3522 geometric_solution 6.82252901 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 0.721245375769 0.705824845605 0 5 5 6 0132 0132 3201 0132 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 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 0.556725310593 0.857735754749 6 0 6 3 3201 0132 1302 1230 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 -1 1 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 0.336766382664 1.111724087262 2 5 4 0 3012 1302 3201 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 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.623027043854 0.446553952962 3 6 0 5 2310 2103 0132 3012 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 -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 0.671895045766 0.709674594356 1 1 4 3 2310 0132 1230 2031 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301889348419 0.669993283677 2 4 1 2 2031 2103 0132 2310 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 -1 0 1 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 0.509180010620 0.986509040163 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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_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_0_6' : 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_6' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0101_0'], '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' : negation(d['c_0011_6']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_6'], '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_0011_3'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_0011_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3737420937/58079335*c_0101_3^9 + 5639842188/11615867*c_0101_3^8 - 45794628868/58079335*c_0101_3^7 - 27974698562/58079335*c_0101_3^6 + 9232339453/11615867*c_0101_3^5 + 44214565647/58079335*c_0101_3^4 - 42060375461/58079335*c_0101_3^3 - 31077717367/58079335*c_0101_3^2 + 25663247442/58079335*c_0101_3 + 5790277139/58079335, c_0011_0 - 1, c_0011_3 + 50766294/11615867*c_0101_3^9 - 382594105/11615867*c_0101_3^8 + 617089066/11615867*c_0101_3^7 + 396071610/11615867*c_0101_3^6 - 633074069/11615867*c_0101_3^5 - 630059963/11615867*c_0101_3^4 + 568391460/11615867*c_0101_3^3 + 447707411/11615867*c_0101_3^2 - 339843019/11615867*c_0101_3 - 91803847/11615867, c_0011_4 - 68642313/11615867*c_0101_3^9 + 519354764/11615867*c_0101_3^8 - 851453765/11615867*c_0101_3^7 - 499087949/11615867*c_0101_3^6 + 859072412/11615867*c_0101_3^5 + 803456441/11615867*c_0101_3^4 - 776537284/11615867*c_0101_3^3 - 577594864/11615867*c_0101_3^2 + 475263213/11615867*c_0101_3 + 106038431/11615867, c_0011_6 + 141922722/11615867*c_0101_3^9 - 1070604295/11615867*c_0101_3^8 + 1738755009/11615867*c_0101_3^7 + 1054422024/11615867*c_0101_3^6 - 1732908614/11615867*c_0101_3^5 - 1682109468/11615867*c_0101_3^4 + 1586084210/11615867*c_0101_3^3 + 1195161178/11615867*c_0101_3^2 - 948396254/11615867*c_0101_3 - 234656154/11615867, c_0101_0 + 106663113/11615867*c_0101_3^9 - 802104021/11615867*c_0101_3^8 + 1288994359/11615867*c_0101_3^7 + 816482798/11615867*c_0101_3^6 - 1285961826/11615867*c_0101_3^5 - 1259756483/11615867*c_0101_3^4 + 1166348979/11615867*c_0101_3^3 + 897776404/11615867*c_0101_3^2 - 711135746/11615867*c_0101_3 - 171028020/11615867, c_0101_1 + 141922722/11615867*c_0101_3^9 - 1070604295/11615867*c_0101_3^8 + 1738755009/11615867*c_0101_3^7 + 1054422024/11615867*c_0101_3^6 - 1732908614/11615867*c_0101_3^5 - 1682109468/11615867*c_0101_3^4 + 1586084210/11615867*c_0101_3^3 + 1195161178/11615867*c_0101_3^2 - 960012121/11615867*c_0101_3 - 234656154/11615867, c_0101_3^10 - 22/3*c_0101_3^9 + 32/3*c_0101_3^8 + 10*c_0101_3^7 - 32/3*c_0101_3^6 - 43/3*c_0101_3^5 + 26/3*c_0101_3^4 + 32/3*c_0101_3^3 - 5*c_0101_3^2 - 3*c_0101_3 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB