Magma V2.19-8 Tue Aug 20 2013 16:18:25 on localhost [Seed = 2412647096] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2615 geometric_solution 5.89467910 oriented_manifold CS_known -0.0000000000000001 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 -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 -1 0 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 0.725102324979 0.918675349436 0 4 3 5 0132 0321 0321 0132 0 0 0 0 0 1 0 -1 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 -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 0.465687673024 0.188476344562 2 0 3 2 3201 0132 3012 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.071543451422 0.552270860315 5 2 1 0 0132 1230 0321 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298953530040 0.999067157094 6 6 0 1 0132 2310 0132 0321 0 0 0 0 0 1 0 -1 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 -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 -0.081073381817 0.721966689619 3 6 1 6 0132 3120 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.153603696480 1.367856499568 4 5 5 4 0132 3120 2031 3201 0 0 0 0 0 0 0 0 -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 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 0.153603696480 1.367856499568 ==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' : negation(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' : negation(d['1']), 's_0_4' : negation(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_4']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_1001_1'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1001_1'], 'c_1100_3' : d['c_1001_1'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), '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' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0011_0'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(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_0, c_0101_1, c_0101_2, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 3379336688/178208055*c_1001_1^18 - 25285778336/178208055*c_1001_1^16 + 87870513106/178208055*c_1001_1^14 - 183457835312/178208055*c_1001_1^12 + 507082354751/356416110*c_1001_1^10 - 479610160529/356416110*c_1001_1^8 + 103093770617/118805370*c_1001_1^6 - 26286626221/71283222*c_1001_1^4 + 45044191169/356416110*c_1001_1^2 - 4295307226/178208055, c_0011_0 - 1, c_0011_3 - 18011600/11880537*c_1001_1^18 + 123551480/11880537*c_1001_1^16 - 389765530/11880537*c_1001_1^14 + 722190035/11880537*c_1001_1^12 - 856520377/11880537*c_1001_1^10 + 651275635/11880537*c_1001_1^8 - 97809251/3960179*c_1001_1^6 + 48937090/11880537*c_1001_1^4 - 6141706/11880537*c_1001_1^2 - 15125795/11880537, c_0011_4 - 51924128/11880537*c_1001_1^19 + 407442560/11880537*c_1001_1^17 - 1480069324/11880537*c_1001_1^15 + 3229366280/11880537*c_1001_1^13 - 4658687989/11880537*c_1001_1^11 + 4595057593/11880537*c_1001_1^9 - 1026242873/3960179*c_1001_1^7 + 1341646087/11880537*c_1001_1^5 - 418896502/11880537*c_1001_1^3 + 95908435/11880537*c_1001_1, c_0101_0 - c_1001_1, c_0101_1 + 305736/47713*c_1001_1^19 - 2226180/47713*c_1001_1^17 + 7507677/47713*c_1001_1^15 - 30256757/95426*c_1001_1^13 + 20027781/47713*c_1001_1^11 - 17956060/47713*c_1001_1^9 + 10852038/47713*c_1001_1^7 - 8660473/95426*c_1001_1^5 + 3227625/95426*c_1001_1^3 - 552471/95426*c_1001_1, c_0101_2 - 50130724/11880537*c_1001_1^18 + 358543210/11880537*c_1001_1^16 - 2374895941/23761074*c_1001_1^14 + 9350642617/47522148*c_1001_1^12 - 2997936371/11880537*c_1001_1^10 + 2557187555/11880537*c_1001_1^8 - 471593777/3960179*c_1001_1^6 + 1890292559/47522148*c_1001_1^4 - 666741491/47522148*c_1001_1^2 + 56866193/47522148, c_1001_1^20 - 15/2*c_1001_1^18 + 209/8*c_1001_1^16 - 875/16*c_1001_1^14 + 1213/16*c_1001_1^12 - 72*c_1001_1^10 + 187/4*c_1001_1^8 - 323/16*c_1001_1^6 + 57/8*c_1001_1^4 - 3/2*c_1001_1^2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB