Magma V2.19-8 Tue Aug 20 2013 16:17:40 on localhost [Seed = 2985307472] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1900 geometric_solution 5.51188010 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 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 1 -1 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 0.561499092057 0.400437728137 0 3 2 4 0132 0132 3012 0132 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 -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 0.819466396369 0.841907317242 4 1 3 0 1023 1230 0132 0132 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 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 0.819466396369 0.841907317242 5 1 5 2 0132 0132 2310 0132 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 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 0.507366169584 1.271218658885 6 2 1 6 0132 1023 0132 1023 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.933299974644 0.521668167883 3 3 5 5 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.457652907704 0.153803069686 4 6 6 4 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.229066428240 0.312953739983 ==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' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], '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_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_0011_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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 3964902246/6929781695*c_0101_3*c_0101_6^14 + 386267740/1385956339*c_0101_3*c_0101_6^13 + 19978613862/6929781695*c_0101_3*c_0101_6^12 - 65001389441/6929781695*c_0101_3*c_0101_6^11 + 34535888066/6929781695*c_0101_3*c_0101_6^10 + 40270225486/1385956339*c_0101_3*c_0101_6^9 - 58541870404/1385956339*c_0101_3*c_0101_6^8 - 226513516014/6929781695*c_0101_3*c_0101_6^7 + 190652121559/6929781695*c_0101_3*c_0101_6^6 + 526844147623/6929781695*c_0101_3*c_0101_6^5 - 234324651496/6929781695*c_0101_3*c_0101_6^4 - 461543410214/6929781695*c_0101_3*c_0101_6^3 + 29625046806/6929781695*c_0101_3*c_0101_6^2 + 41405166022/6929781695*c_0101_3*c_0101_6 + 68868489787/6929781695*c_0101_3, c_0011_0 - 1, c_0011_2 + 201517957/6929781695*c_0101_3*c_0101_6^14 - 376600474/1385956339*c_0101_3*c_0101_6^13 + 4776670851/6929781695*c_0101_3*c_0101_6^12 - 3119778678/6929781695*c_0101_3*c_0101_6^11 - 13907423322/6929781695*c_0101_3*c_0101_6^10 + 7473269664/1385956339*c_0101_3*c_0101_6^9 - 3802159953/1385956339*c_0101_3*c_0101_6^8 - 33411127617/6929781695*c_0101_3*c_0101_6^7 - 4983776223/6929781695*c_0101_3*c_0101_6^6 + 71642923524/6929781695*c_0101_3*c_0101_6^5 + 3568700947/6929781695*c_0101_3*c_0101_6^4 - 69904473577/6929781695*c_0101_3*c_0101_6^3 + 1499802233/6929781695*c_0101_3*c_0101_6^2 + 9186432021/6929781695*c_0101_3*c_0101_6 + 2102629331/6929781695*c_0101_3, c_0101_0 - 966348084/6929781695*c_0101_6^14 + 596754534/1385956339*c_0101_6^13 - 3551018607/6929781695*c_0101_6^12 - 5595448274/6929781695*c_0101_6^11 + 23330647539/6929781695*c_0101_6^10 - 3599589975/1385956339*c_0101_6^9 - 3150134542/1385956339*c_0101_6^8 - 5523534756/6929781695*c_0101_6^7 + 42516573851/6929781695*c_0101_6^6 - 9823022073/6929781695*c_0101_6^5 - 25091383144/6929781695*c_0101_6^4 + 1961729654/6929781695*c_0101_6^3 - 172611631/6929781695*c_0101_6^2 - 11571619577/6929781695*c_0101_6 - 1312530847/6929781695, c_0101_1 - 156206193/1385956339*c_0101_3*c_0101_6^14 + 774028193/1385956339*c_0101_3*c_0101_6^13 - 1270550937/1385956339*c_0101_3*c_0101_6^12 - 494780250/1385956339*c_0101_3*c_0101_6^11 + 6219027036/1385956339*c_0101_3*c_0101_6^10 - 8611418265/1385956339*c_0101_3*c_0101_6^9 - 2491304706/1385956339*c_0101_3*c_0101_6^8 + 7714139778/1385956339*c_0101_3*c_0101_6^7 + 13604199383/1385956339*c_0101_3*c_0101_6^6 - 15076957106/1385956339*c_0101_3*c_0101_6^5 - 13043677170/1385956339*c_0101_3*c_0101_6^4 + 11607196214/1385956339*c_0101_3*c_0101_6^3 + 8534699812/1385956339*c_0101_3*c_0101_6^2 - 1236184990/1385956339*c_0101_3*c_0101_6 - 2177398935/1385956339*c_0101_3, c_0101_2 - 1763062467/6929781695*c_0101_6^14 + 1083386193/1385956339*c_0101_6^13 - 6438384401/6929781695*c_0101_6^12 - 10253884102/6929781695*c_0101_6^11 + 42455601412/6929781695*c_0101_6^10 - 6511086977/1385956339*c_0101_6^9 - 5696167433/1385956339*c_0101_6^8 - 9973834768/6929781695*c_0101_6^7 + 77112502528/6929781695*c_0101_6^6 - 18207588829/6929781695*c_0101_6^5 - 45780848382/6929781695*c_0101_6^4 + 3753755227/6929781695*c_0101_6^3 - 7545648693/6929781695*c_0101_6^2 - 5193472986/6929781695*c_0101_6 - 2399829731/6929781695, c_0101_3^2 - 3239878559/6929781695*c_0101_6^14 + 1659777041/1385956339*c_0101_6^13 - 6931109637/6929781695*c_0101_6^12 - 23489253359/6929781695*c_0101_6^11 + 65568354719/6929781695*c_0101_6^10 - 3867298412/1385956339*c_0101_6^9 - 14559775219/1385956339*c_0101_6^8 - 64957716006/6929781695*c_0101_6^7 + 133620118256/6929781695*c_0101_6^6 + 53622026502/6929781695*c_0101_6^5 - 70569696819/6929781695*c_0101_6^4 - 70300359426/6929781695*c_0101_6^3 - 40790029181/6929781695*c_0101_6^2 - 3479392882/6929781695*c_0101_6 - 1730682047/6929781695, c_0101_6^15 - 3*c_0101_6^14 + 3*c_0101_6^13 + 7*c_0101_6^12 - 24*c_0101_6^11 + 13*c_0101_6^10 + 25*c_0101_6^9 + 9*c_0101_6^8 - 56*c_0101_6^7 - 6*c_0101_6^6 + 45*c_0101_6^5 + 16*c_0101_6^4 - 8*c_0101_6^3 - 9*c_0101_6^2 - c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB