Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 880126166] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0523 geometric_solution 4.53630709 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 1 0 2 2031 0132 1302 0132 0 0 0 0 0 -2 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 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 -0.416759550318 0.454958870006 2 0 4 3 3201 0132 0132 0132 0 0 0 0 0 2 -1 -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 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 0.657166868926 0.977956320808 3 4 0 1 1023 1230 0132 2310 0 0 0 0 0 1 -1 0 0 0 -1 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 -1 1 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 3.094787811742 1.195133801605 4 2 1 5 0321 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 0.895927487261 0.410465183233 3 5 2 1 0321 3120 3012 0132 0 0 0 0 0 -1 0 1 0 0 -1 1 0 1 0 -1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.861035983986 0.849939247845 6 4 3 6 0132 3120 0132 1023 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.153555911236 0.420173188928 5 6 6 5 0132 1230 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.547284020722 0.254685428846 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_5']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_5']), 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0011_5'])})} 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_2, c_0011_4, c_0011_5, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 1892629166707/139476576064*c_0101_6^17 - 1951287741469/4358643002*c_0101_6^15 + 232528364200481/69738288032*c_0101_6^13 - 830281121337849/139476576064*c_0101_6^11 + 1083299530439629/139476576064*c_0101_6^9 - 1379297705239367/69738288032*c_0101_6^7 + 2553334327307649/139476576064*c_0101_6^5 - 5153518292771/2846460736*c_0101_6^3 - 69477211853677/139476576064*c_0101_6, c_0011_0 - 1, c_0011_2 + 950280887/17434572008*c_0101_6^17 - 15807483583/8717286004*c_0101_6^15 + 30272279120/2179321501*c_0101_6^13 - 481033603879/17434572008*c_0101_6^11 + 655270325013/17434572008*c_0101_6^9 - 382286749699/4358643002*c_0101_6^7 + 1654803209551/17434572008*c_0101_6^5 - 66545378869/2490653144*c_0101_6^3 + 7601610129/17434572008*c_0101_6, c_0011_4 + 196137147/8717286004*c_0101_6^16 - 1611361708/2179321501*c_0101_6^14 + 23683901559/4358643002*c_0101_6^12 - 80189686573/8717286004*c_0101_6^10 + 103322473257/8717286004*c_0101_6^8 - 135196093881/4358643002*c_0101_6^6 + 228423564077/8717286004*c_0101_6^4 - 906938105/1245326572*c_0101_6^2 - 4699062017/8717286004, c_0011_5 + 520856507/17434572008*c_0101_6^16 - 8629111319/8717286004*c_0101_6^14 + 16298982972/2179321501*c_0101_6^12 - 245373621979/17434572008*c_0101_6^10 + 321209129097/17434572008*c_0101_6^8 - 196982963941/4358643002*c_0101_6^6 + 786339664651/17434572008*c_0101_6^4 - 2639551463/355807592*c_0101_6^2 - 14534946243/17434572008, c_0101_2 + 12105158917/17434572008*c_0101_6^17 - 200104058523/8717286004*c_0101_6^15 + 750566006301/4358643002*c_0101_6^13 - 5521338796937/17434572008*c_0101_6^11 + 7331952866383/17434572008*c_0101_6^9 - 2271510548659/2179321501*c_0101_6^7 + 17626591450217/17434572008*c_0101_6^5 - 422774727975/2490653144*c_0101_6^3 - 214121361401/17434572008*c_0101_6, c_0101_3 + 2576023887/17434572008*c_0101_6^16 - 42610884501/8717286004*c_0101_6^14 + 160183676819/4358643002*c_0101_6^12 - 1188535461403/17434572008*c_0101_6^10 + 1582933238253/17434572008*c_0101_6^8 - 486444656373/2179321501*c_0101_6^6 + 3818229559699/17434572008*c_0101_6^4 - 96981834197/2490653144*c_0101_6^2 - 49758247811/17434572008, c_0101_6^18 - 33*c_0101_6^16 + 246*c_0101_6^14 - 441*c_0101_6^12 + 578*c_0101_6^10 - 1465*c_0101_6^8 + 1365*c_0101_6^6 - 156*c_0101_6^4 - 30*c_0101_6^2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB