Magma V2.19-8 Tue Aug 20 2013 16:19:00 on localhost [Seed = 880126300] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3153 geometric_solution 6.30717935 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382240853569 0.189283018368 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.516797390839 0.851098664705 1 4 5 6 0132 0132 0132 0132 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 0 0 0 -1 0 1 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 0.398836857544 1.115414009424 6 5 4 1 3201 1023 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398836857544 1.115414009424 3 2 4 4 2310 0132 1230 3012 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 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 0.420798846740 1.631790695727 3 5 5 2 1023 1230 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705648256411 0.543120498701 6 6 2 3 1302 2031 0132 2310 0 0 0 0 0 0 1 -1 -1 0 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 -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 0.581894243601 1.157480394221 ==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' : d['c_0011_3'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_6']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(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_1, c_0011_3, c_0011_6, c_0101_0, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 198934139317/696787*c_0101_4^19 - 285013541679/99541*c_0101_4^18 - 4970462170298/696787*c_0101_4^17 + 1711729757610/36673*c_0101_4^16 + 70056012789859/696787*c_0101_4^15 + 126875469445670/696787*c_0101_4^14 + 348037662113023/696787*c_0101_4^13 + 13659657735431/53599*c_0101_4^12 + 615120105595238/696787*c_0101_4^11 + 119242895478661/696787*c_0101_4^10 + 552953772649533/696787*c_0101_4^9 + 39010852351295/696787*c_0101_4^8 + 278375826109158/696787*c_0101_4^7 + 370627840643/53599*c_0101_4^6 + 79106898789844/696787*c_0101_4^5 - 255397733706/696787*c_0101_4^4 + 11824488170399/696787*c_0101_4^3 - 76571303071/696787*c_0101_4^2 + 721626829719/696787*c_0101_4 + 102178231/696787, c_0011_0 - 1, c_0011_1 + c_0101_4^18 - 10*c_0101_4^17 - 25*c_0101_4^16 + 160*c_0101_4^15 + 350*c_0101_4^14 + 693*c_0101_4^13 + 1865*c_0101_4^12 + 1119*c_0101_4^11 + 3600*c_0101_4^10 + 935*c_0101_4^9 + 3649*c_0101_4^8 + 442*c_0101_4^7 + 2171*c_0101_4^6 + 119*c_0101_4^5 + 784*c_0101_4^4 + 17*c_0101_4^3 + 169*c_0101_4^2 + c_0101_4 + 17, c_0011_3 - 194037/247*c_0101_4^19 + 1752628/247*c_0101_4^18 + 6793894/247*c_0101_4^17 - 1418813/13*c_0101_4^16 - 100116031/247*c_0101_4^15 - 190748211/247*c_0101_4^14 - 460296912/247*c_0101_4^13 - 39028250/19*c_0101_4^12 - 761321211/247*c_0101_4^11 - 708486238/247*c_0101_4^10 - 637551978/247*c_0101_4^9 - 571494916/247*c_0101_4^8 - 295906449/247*c_0101_4^7 - 21052356/19*c_0101_4^6 - 76442622/247*c_0101_4^5 - 76271162/247*c_0101_4^4 - 10214722/247*c_0101_4^3 - 11371572/247*c_0101_4^2 - 546321/247*c_0101_4 - 699059/247, c_0011_6 + c_0101_4^19 + 5*c_0101_4^18 - 175*c_0101_4^17 - 216*c_0101_4^16 + 2760*c_0101_4^15 + 5968*c_0101_4^14 + 12100*c_0101_4^13 + 28744*c_0101_4^12 + 19692*c_0101_4^11 + 53070*c_0101_4^10 + 16555*c_0101_4^9 + 51577*c_0101_4^8 + 7866*c_0101_4^7 + 29035*c_0101_4^6 + 2127*c_0101_4^5 + 9606*c_0101_4^4 + 305*c_0101_4^3 + 1752*c_0101_4^2 + 18*c_0101_4 + 136, c_0101_0 - 387827/247*c_0101_4^19 + 3502786/247*c_0101_4^18 + 13581613/247*c_0101_4^17 - 2835546/13*c_0101_4^16 - 200145612/247*c_0101_4^15 - 381325251/247*c_0101_4^14 - 920133169/247*c_0101_4^13 - 78035239/19*c_0101_4^12 - 1521753222/247*c_0101_4^11 - 1416741531/247*c_0101_4^10 - 1274202653/247*c_0101_4^9 - 1142880658/247*c_0101_4^8 - 591276661/247*c_0101_4^7 - 42102451/19*c_0101_4^6 - 152691596/247*c_0101_4^5 - 152538125/247*c_0101_4^4 - 20387701/247*c_0101_4^3 - 22742897/247*c_0101_4^2 - 1088196/247*c_0101_4 - 1398118/247, c_0101_3 - 511317/247*c_0101_4^19 + 5241411/247*c_0101_4^18 + 11637844/247*c_0101_4^17 - 4549162/13*c_0101_4^16 - 161472153/247*c_0101_4^15 - 286000399/247*c_0101_4^14 - 822928148/247*c_0101_4^13 - 19970981/19*c_0101_4^12 - 1482459900/247*c_0101_4^11 + 36322811/247*c_0101_4^10 - 1356880436/247*c_0101_4^9 + 202318719/247*c_0101_4^8 - 695681122/247*c_0101_4^7 + 10499985/19*c_0101_4^6 - 201438488/247*c_0101_4^5 + 41787440/247*c_0101_4^4 - 30696473/247*c_0101_4^3 + 6139748/247*c_0101_4^2 - 1910796/247*c_0101_4 + 348085/247, c_0101_4^20 - 10*c_0101_4^19 - 25*c_0101_4^18 + 160*c_0101_4^17 + 350*c_0101_4^16 + 693*c_0101_4^15 + 1865*c_0101_4^14 + 1119*c_0101_4^13 + 3600*c_0101_4^12 + 935*c_0101_4^11 + 3649*c_0101_4^10 + 442*c_0101_4^9 + 2171*c_0101_4^8 + 119*c_0101_4^7 + 784*c_0101_4^6 + 17*c_0101_4^5 + 169*c_0101_4^4 + c_0101_4^3 + 20*c_0101_4^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB