Magma V2.19-8 Tue Aug 20 2013 16:17:58 on localhost [Seed = 206409931] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2204 geometric_solution 5.65624418 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.122561166877 0.744861766620 0 1 1 0 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.662358978622 0.562279512062 3 0 5 4 2310 0132 0132 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 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 0.122561166877 0.744861766620 5 4 2 0 1023 1023 3201 0132 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 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 0.122561166877 0.744861766620 3 4 2 4 1023 2310 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662358978622 0.562279512062 6 3 6 2 0132 1023 1023 0132 0 0 0 0 0 0 0 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 -1 1 1 0 -1 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 1.662358978622 0.562279512062 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 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 1 -1 -1 0 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 0.662358978622 0.562279512062 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0101_2']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_3'], '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_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : 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' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0']})} 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_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 135/2*c_0101_5 + 324*c_0110_4, c_0011_0 - 1, c_0011_3 - c_0101_5*c_0110_4 - 1/3, c_0101_0 + 2*c_0110_4, c_0101_1 - c_0110_4, c_0101_2 + c_0101_5 + c_0110_4, c_0101_5^2 + 5*c_0101_5*c_0110_4 + 1/3, c_0110_4^2 - 1/3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 15/4*c_0110_4^5 + 28*c_0110_4^3 - 33/4*c_0110_4, c_0011_0 - 1, c_0011_3 - 1/2*c_0110_4^2 - 1/2, c_0101_0 + 1/2*c_0110_4^5 - 7/2*c_0110_4^3, c_0101_1 + 3/4*c_0110_4^5 - 11/2*c_0110_4^3 + 3/4*c_0110_4, c_0101_2 - 1/4*c_0110_4^5 + 3/2*c_0110_4^3 + 3/4*c_0110_4, c_0101_5 - c_0110_4, c_0110_4^6 - 7*c_0110_4^4 - c_0110_4^2 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 7434/17*c_0101_5*c_0110_4^4 + 44109/17*c_0101_5*c_0110_4^2 - 34194/17*c_0101_5 - 42651/17*c_0110_4^5 + 252891/17*c_0110_4^3 - 195300/17*c_0110_4, c_0011_0 - 1, c_0011_3 - 15/17*c_0101_5*c_0110_4^5 + 84/17*c_0101_5*c_0110_4^3 - 38/17*c_0101_5*c_0110_4 - 6/17*c_0110_4^4 + 37/17*c_0110_4^2 - 5/17, c_0101_0 + 15/17*c_0110_4^5 - 84/17*c_0110_4^3 + 55/17*c_0110_4, c_0101_1 + 18/17*c_0110_4^5 - 111/17*c_0110_4^3 + 100/17*c_0110_4, c_0101_2 + c_0101_5 + c_0110_4, c_0101_5^2 + 15/17*c_0101_5*c_0110_4^5 - 84/17*c_0101_5*c_0110_4^3 + 106/17*c_0101_5*c_0110_4 + c_0110_4^2, c_0110_4^6 - 6*c_0110_4^4 + 5*c_0110_4^2 - 1/3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 8812676968449872/13435391746429*c_0110_4^13 + 80523101835535903/13435391746429*c_0110_4^11 + 415551819742901018/13435391746429*c_0110_4^9 + 1468943342756141145/26870783492858*c_0110_4^7 + 1096718017649805157/53741566985716*c_0110_4^5 + 110578294858167715/26870783492858*c_0110_4^3 + 11069133703605167/53741566985716*c_0110_4, c_0011_0 - 1, c_0011_3 - 1110912155040/707125881391*c_0110_4^12 + 10357889497262/707125881391*c_0110_4^10 + 50433682065798/707125881391*c_0110_4^8 + 83312187793523/707125881391*c_0110_4^6 + 40250537801055/1414251762782*c_0110_4^4 + 10779825664411/1414251762782*c_0110_4^2 + 252567256166/707125881391, c_0101_0 + 9747173157280/707125881391*c_0110_4^13 - 89955212865454/707125881391*c_0110_4^11 - 451271238469122/707125881391*c_0110_4^9 - 771933691172331/707125881391*c_0110_4^7 - 473899542854243/1414251762782*c_0110_4^5 - 93665751187449/1414251762782*c_0110_4^3 - 50785490685/707125881391*c_0110_4, c_0101_1 + 18745098984400/707125881391*c_0110_4^13 - 172608145664535/707125881391*c_0110_4^11 - 871731365639268/707125881391*c_0110_4^9 - 2999248705190773/1414251762782*c_0110_4^7 - 1893103776422593/2828503525564*c_0110_4^5 - 78586300463424/707125881391*c_0110_4^3 + 567944528787/2828503525564*c_0110_4, c_0101_2 + 3703096718064/707125881391*c_0110_4^13 - 34132381036269/707125881391*c_0110_4^11 - 171846609514552/707125881391*c_0110_4^9 - 590339334060863/1414251762782*c_0110_4^7 - 374152191705059/2828503525564*c_0110_4^5 - 19708395801515/707125881391*c_0110_4^3 - 6815457140987/2828503525564*c_0110_4, c_0101_5 - c_0110_4, c_0110_4^14 - 147/16*c_0110_4^12 - 747/16*c_0110_4^10 - 2593/32*c_0110_4^8 - 1743/64*c_0110_4^6 - 337/64*c_0110_4^4 - 13/64*c_0110_4^2 - 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB