Magma V2.19-8 Tue Aug 20 2013 16:18:33 on localhost [Seed = 425231400] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2744 geometric_solution 5.98392087 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -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 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 0.799517280567 1.414447064624 0 5 2 4 0132 0132 0132 1230 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685331620173 0.417103218038 6 0 5 1 0132 0132 3201 0132 0 0 0 0 0 1 -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 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 0.935249276583 0.648023438687 4 6 4 0 1230 2103 2031 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 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 0.287785561763 1.146958730210 1 3 0 3 3012 3012 0132 1302 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 -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 -1.392222879462 1.324070767976 2 1 6 6 2310 0132 1023 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401668534651 0.541525455551 2 3 5 5 0132 2103 1023 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401668534651 0.541525455551 ==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' : negation(d['1']), 's_2_6' : 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_0_6' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0101_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0011_3'])})} 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_0101_1, c_0101_2, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 4/15*c_0101_1*c_1001_0 + 7/15*c_0101_1 + 1/5*c_1001_0 - 4/15, c_0011_0 - 1, c_0011_3 - c_0101_1 + 1, c_0011_4 - c_0101_1*c_1001_0 + c_0101_1 + c_1001_0, c_0101_1^2 - c_0101_1 + c_1001_0 + 2, c_0101_2 - c_1001_0, c_0101_3 + c_1001_0 - 1, c_1001_0^2 - c_1001_0 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_1, c_0101_2, c_0101_3, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 10775/7696*c_1001_0^8 + 1717/15392*c_1001_0^7 - 122297/30784*c_1001_0^6 - 85365/61568*c_1001_0^5 + 228029/30784*c_1001_0^4 + 55269/15392*c_1001_0^3 - 69499/7696*c_1001_0^2 - 6111/3848*c_1001_0 + 9965/1924, c_0011_0 - 1, c_0011_3 + 157/148*c_1001_0^8 + 151/296*c_1001_0^7 - 2659/592*c_1001_0^6 - 2199/1184*c_1001_0^5 + 5779/592*c_1001_0^4 + 1493/296*c_1001_0^3 - 1971/148*c_1001_0^2 - 275/74*c_1001_0 + 328/37, c_0011_4 + 289/148*c_1001_0^8 + 195/296*c_1001_0^7 - 5151/592*c_1001_0^6 - 4259/1184*c_1001_0^5 + 10815/592*c_1001_0^4 + 2843/296*c_1001_0^3 - 921/37*c_1001_0^2 - 559/74*c_1001_0 + 563/37, c_0101_1 - 157/148*c_1001_0^8 - 151/296*c_1001_0^7 + 2659/592*c_1001_0^6 + 2199/1184*c_1001_0^5 - 5779/592*c_1001_0^4 - 1493/296*c_1001_0^3 + 1971/148*c_1001_0^2 + 275/74*c_1001_0 - 328/37, c_0101_2 + 63/37*c_1001_0^8 + 21/74*c_1001_0^7 - 1149/148*c_1001_0^6 - 593/296*c_1001_0^5 + 1227/74*c_1001_0^4 + 1807/296*c_1001_0^3 - 3425/148*c_1001_0^2 - 263/74*c_1001_0 + 526/37, c_0101_3 - 65/37*c_1001_0^8 - 17/37*c_1001_0^7 + 539/74*c_1001_0^6 + 72/37*c_1001_0^5 - 9259/592*c_1001_0^4 - 431/74*c_1001_0^3 + 1645/74*c_1001_0^2 + 116/37*c_1001_0 - 501/37, c_1001_0^9 + 3/2*c_1001_0^8 - 15/4*c_1001_0^7 - 51/8*c_1001_0^6 + 27/4*c_1001_0^5 + 14*c_1001_0^4 - 7*c_1001_0^3 - 16*c_1001_0^2 + 4*c_1001_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB