Magma V2.19-8 Tue Aug 20 2013 16:18:44 on localhost [Seed = 2901225944] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2902 geometric_solution 6.10872540 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 3 0132 0132 1023 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 1 -1 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 0.868299620150 0.549294680578 0 1 0 1 0132 2310 1023 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 -1 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745146620754 0.230546491820 4 0 3 5 0132 0132 2310 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 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 0.362865924299 0.853615797940 6 2 0 4 0132 3201 0132 1023 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 -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 0.362865924299 0.853615797940 2 6 5 3 0132 2103 1230 1023 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.035767359333 0.574476282542 6 6 2 4 2031 1302 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153104244635 1.538948543115 3 4 5 5 0132 2103 1302 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153104244635 1.538948543115 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['1']), 's_2_6' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : negation(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' : d['c_0101_4'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : 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' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_1'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_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_5, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 30653751371630/2420528795773*c_0101_4^17 + 129227450192554/2420528795773*c_0101_4^16 - 77816987186149/2420528795773*c_0101_4^15 - 154745642380867/2420528795773*c_0101_4^14 - 268312273323698/2420528795773*c_0101_4^13 + 742644982112661/2420528795773*c_0101_4^12 + 352046201545932/2420528795773*c_0101_4^11 - 645314862179998/2420528795773*c_0101_4^10 - 129355299552329/220048072343*c_0101_4^9 + 2319871207904656/2420528795773*c_0101_4^8 - 994862452945357/2420528795773*c_0101_4^7 - 499387603831426/2420528795773*c_0101_4^6 + 1094025264831353/2420528795773*c_0101_4^5 - 744114689853680/2420528795773*c_0101_4^4 + 17273391933779/220048072343*c_0101_4^3 + 61757722993160/2420528795773*c_0101_4^2 - 7747177540139/220048072343*c_0101_4 + 40649299422106/2420528795773, c_0011_0 - 1, c_0011_3 + 2708513698/20004370213*c_0101_4^17 - 10275334438/20004370213*c_0101_4^16 + 1473234393/20004370213*c_0101_4^15 + 17436148225/20004370213*c_0101_4^14 + 32598065581/20004370213*c_0101_4^13 - 56813269465/20004370213*c_0101_4^12 - 68262756331/20004370213*c_0101_4^11 + 37073163462/20004370213*c_0101_4^10 + 165828443268/20004370213*c_0101_4^9 - 133003040763/20004370213*c_0101_4^8 - 12405643757/20004370213*c_0101_4^7 + 67112995825/20004370213*c_0101_4^6 - 63991644074/20004370213*c_0101_4^5 + 16186711654/20004370213*c_0101_4^4 + 30420428298/20004370213*c_0101_4^3 - 11329637688/20004370213*c_0101_4^2 - 29661518316/20004370213*c_0101_4 + 8177637679/20004370213, c_0011_5 + c_0101_4, c_0101_0 - 3740346778/20004370213*c_0101_4^17 + 12278889964/20004370213*c_0101_4^16 + 4788371113/20004370213*c_0101_4^15 - 24391471842/20004370213*c_0101_4^14 - 55646748636/20004370213*c_0101_4^13 + 61685051024/20004370213*c_0101_4^12 + 118298940409/20004370213*c_0101_4^11 - 29445129028/20004370213*c_0101_4^10 - 256222648109/20004370213*c_0101_4^9 + 162746732217/20004370213*c_0101_4^8 + 167711560808/20004370213*c_0101_4^7 - 160393220020/20004370213*c_0101_4^6 - 129019674826/20004370213*c_0101_4^5 + 112570959897/20004370213*c_0101_4^4 - 2968764067/20004370213*c_0101_4^3 + 5396125181/20004370213*c_0101_4^2 + 27242794791/20004370213*c_0101_4 - 9050407302/20004370213, c_0101_1 + 558720354/20004370213*c_0101_4^17 - 2589536154/20004370213*c_0101_4^16 + 1185066037/20004370213*c_0101_4^15 + 5512928601/20004370213*c_0101_4^14 + 5482545589/20004370213*c_0101_4^13 - 18155252918/20004370213*c_0101_4^12 - 17097110498/20004370213*c_0101_4^11 + 18214446727/20004370213*c_0101_4^10 + 44404606456/20004370213*c_0101_4^9 - 38136523888/20004370213*c_0101_4^8 - 4662617172/20004370213*c_0101_4^7 + 18618023715/20004370213*c_0101_4^6 - 20378223269/20004370213*c_0101_4^5 + 27711914600/20004370213*c_0101_4^4 - 1849839745/20004370213*c_0101_4^3 - 55082915925/20004370213*c_0101_4^2 + 9531894528/20004370213*c_0101_4 + 1354256849/20004370213, c_0101_2 - 29810280856/20004370213*c_0101_4^17 + 105786117926/20004370213*c_0101_4^16 - 1641891092/20004370213*c_0101_4^15 - 166245997629/20004370213*c_0101_4^14 - 364743919648/20004370213*c_0101_4^13 + 501881441845/20004370213*c_0101_4^12 + 709798370028/20004370213*c_0101_4^11 - 245793110680/20004370213*c_0101_4^10 - 1611610666503/20004370213*c_0101_4^9 + 1269398400038/20004370213*c_0101_4^8 + 80758639225/20004370213*c_0101_4^7 - 686841728321/20004370213*c_0101_4^6 + 643380991017/20004370213*c_0101_4^5 - 190780703133/20004370213*c_0101_4^4 - 63786410730/20004370213*c_0101_4^3 + 73091559278/20004370213*c_0101_4^2 - 33356408102/20004370213*c_0101_4 + 2929645354/20004370213, c_0101_4^18 - 4*c_0101_4^17 + 3/2*c_0101_4^16 + 6*c_0101_4^15 + 10*c_0101_4^14 - 23*c_0101_4^13 - 37/2*c_0101_4^12 + 20*c_0101_4^11 + 109/2*c_0101_4^10 - 131/2*c_0101_4^9 + 19/2*c_0101_4^8 + 53/2*c_0101_4^7 - 61/2*c_0101_4^6 + 27/2*c_0101_4^5 + c_0101_4^4 - 7/2*c_0101_4^3 + 2*c_0101_4^2 - 1/2*c_0101_4 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB