Magma V2.19-8 Tue Aug 20 2013 16:15:53 on localhost [Seed = 4088557512] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0108 geometric_solution 3.63465443 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 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 0 1 -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 -4.021574121869 0.646704951431 0 0 3 3 0132 3201 3201 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 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 0.406108200651 0.092152516565 0 0 2 2 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.144072652076 0.013837303399 1 4 1 4 2310 0132 0132 1023 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 1 -1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666642270729 0.241057157306 5 3 6 3 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945662886555 1.965088134669 4 6 6 6 0132 3201 0213 2310 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 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 0.010042291789 1.002339862246 5 5 5 4 3201 0213 2310 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.010042291789 1.002339862246 ==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' : negation(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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_0_5' : negation(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_6'], 'c_1100_4' : d['c_0011_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_4'], 'c_1001_4' : d['c_0011_6'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} 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_6, c_0101_0, c_0101_1, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 27 Groebner basis: [ t - 44107775277/5*c_0110_2^26 - 113830175307/5*c_0110_2^25 + 1900256152313/5*c_0110_2^24 + 8024839292899/5*c_0110_2^23 - 5224873723037*c_0110_2^22 - 26082565662819*c_0110_2^21 + 109330472793113/5*c_0110_2^20 + 911794910348791/5*c_0110_2^19 + 23884907184446/5*c_0110_2^18 - 3185714664539516/5*c_0110_2^17 - 1605971242276444/5*c_0110_2^16 + 5961991332098837/5*c_0110_2^15 + 5496236166830398/5*c_0110_2^14 - 1096731646530285*c_0110_2^13 - 8700842078051736/5*c_0110_2^12 + 730646894070337/5*c_0110_2^11 + 1371737087773550*c_0110_2^10 + 601256989781160*c_0110_2^9 - 389008066930175*c_0110_2^8 - 2266547568221143/5*c_0110_2^7 - 106596788350150*c_0110_2^6 + 338657904024788/5*c_0110_2^5 + 299835982756228/5*c_0110_2^4 + 106750835239581/5*c_0110_2^3 + 21081204599539/5*c_0110_2^2 + 2273031416436/5*c_0110_2 + 105148854386/5, c_0011_0 - 1, c_0011_3 + 22*c_0110_2^26 + 65*c_0110_2^25 - 927*c_0110_2^24 - 4358*c_0110_2^23 + 11552*c_0110_2^22 + 69994*c_0110_2^21 - 30463*c_0110_2^20 - 476403*c_0110_2^19 - 180887*c_0110_2^18 + 1593143*c_0110_2^17 + 1395249*c_0110_2^16 - 2704427*c_0110_2^15 - 3868285*c_0110_2^14 + 1766755*c_0110_2^13 + 5414359*c_0110_2^12 + 1206027*c_0110_2^11 - 3639659*c_0110_2^10 - 2771488*c_0110_2^9 + 474580*c_0110_2^8 + 1521718*c_0110_2^7 + 670052*c_0110_2^6 - 91031*c_0110_2^5 - 217765*c_0110_2^4 - 105945*c_0110_2^3 - 27575*c_0110_2^2 - 4050*c_0110_2 - 275, c_0011_6 + 252*c_0110_2^26 + 735*c_0110_2^25 - 10646*c_0110_2^24 - 49515*c_0110_2^23 + 134190*c_0110_2^22 + 796624*c_0110_2^21 - 379017*c_0110_2^20 - 5441948*c_0110_2^19 - 1865976*c_0110_2^18 + 18314922*c_0110_2^17 + 15285490*c_0110_2^16 - 31542600*c_0110_2^15 - 43098282*c_0110_2^14 + 21847888*c_0110_2^13 + 61149828*c_0110_2^12 + 11506084*c_0110_2^11 - 42072736*c_0110_2^10 - 30129493*c_0110_2^9 + 6546648*c_0110_2^8 + 17149178*c_0110_2^7 + 7023672*c_0110_2^6 - 1293887*c_0110_2^5 - 2435862*c_0110_2^4 - 1120544*c_0110_2^3 - 275562*c_0110_2^2 - 37422*c_0110_2 - 2252, c_0101_0 - c_0110_2^26 - 3*c_0110_2^25 + 42*c_0110_2^24 + 200*c_0110_2^23 - 516*c_0110_2^22 - 3205*c_0110_2^21 + 1239*c_0110_2^20 + 21711*c_0110_2^19 + 9209*c_0110_2^18 - 71997*c_0110_2^17 - 66693*c_0110_2^16 + 119897*c_0110_2^15 + 181281*c_0110_2^14 - 72067*c_0110_2^13 - 249383*c_0110_2^12 - 66155*c_0110_2^11 + 162432*c_0110_2^10 + 133360*c_0110_2^9 - 15510*c_0110_2^8 - 69874*c_0110_2^7 - 33633*c_0110_2^6 + 2609*c_0110_2^5 + 10017*c_0110_2^4 + 5271*c_0110_2^3 + 1493*c_0110_2^2 + 253*c_0110_2 + 23, c_0101_1 + 325645823*c_0110_2^26 + 839507574*c_0110_2^25 - 14031810275*c_0110_2^24 - 59208310651*c_0110_2^23 + 193037782667*c_0110_2^22 + 962294589847*c_0110_2^21 - 809840889965*c_0110_2^20 - 6729406904337*c_0110_2^19 - 157572759127*c_0110_2^18 + 23519733689548*c_0110_2^17 + 11790085543129*c_0110_2^16 - 44047360609231*c_0110_2^15 - 40449562330785*c_0110_2^14 + 40594011788828*c_0110_2^13 + 64109792207469*c_0110_2^12 - 5572041807489*c_0110_2^11 - 50601876592450*c_0110_2^10 - 22047075993979*c_0110_2^9 + 14407897629331*c_0110_2^8 + 16683026587747*c_0110_2^7 + 3891301621032*c_0110_2^6 - 2505270091532*c_0110_2^5 - 2204993442621*c_0110_2^4 - 782793621456*c_0110_2^3 - 154192886538*c_0110_2^2 - 16582419269*c_0110_2 - 764978527, c_0101_4 - 243978110*c_0110_2^26 - 634620224*c_0110_2^25 + 10500327234*c_0110_2^24 + 44607694360*c_0110_2^23 - 143690331285*c_0110_2^22 - 724657240152*c_0110_2^21 + 591404873952*c_0110_2^20 + 5061451046385*c_0110_2^19 + 227576912165*c_0110_2^18 - 17658829340279*c_0110_2^17 - 9227580569559*c_0110_2^16 + 32941272276680*c_0110_2^15 + 31091548318404*c_0110_2^14 - 30000806694481*c_0110_2^13 - 48888087856031*c_0110_2^12 + 3377061806947*c_0110_2^11 + 38301633797451*c_0110_2^10 + 17252610057530*c_0110_2^9 - 10682231199744*c_0110_2^8 - 12790524994967*c_0110_2^7 - 3097742148069*c_0110_2^6 + 1876541148941*c_0110_2^5 + 1695657489516*c_0110_2^4 + 608685980828*c_0110_2^3 + 120935075664*c_0110_2^2 + 13107361397*c_0110_2 + 609169858, c_0110_2^27 + 3*c_0110_2^26 - 42*c_0110_2^25 - 200*c_0110_2^24 + 516*c_0110_2^23 + 3205*c_0110_2^22 - 1239*c_0110_2^21 - 21711*c_0110_2^20 - 9209*c_0110_2^19 + 71997*c_0110_2^18 + 66693*c_0110_2^17 - 119897*c_0110_2^16 - 181281*c_0110_2^15 + 72067*c_0110_2^14 + 249383*c_0110_2^13 + 66155*c_0110_2^12 - 162432*c_0110_2^11 - 133360*c_0110_2^10 + 15510*c_0110_2^9 + 69874*c_0110_2^8 + 33633*c_0110_2^7 - 2609*c_0110_2^6 - 10017*c_0110_2^5 - 5271*c_0110_2^4 - 1493*c_0110_2^3 - 252*c_0110_2^2 - 24*c_0110_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB