Magma V2.19-8 Tue Aug 20 2013 16:18:08 on localhost [Seed = 2294879667] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2356 geometric_solution 5.72951758 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 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 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 1.875936660011 1.667813023441 0 3 5 2 0132 1230 0132 0132 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 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 0.197464587169 0.662919519128 4 0 1 5 3012 0132 0132 2310 0 0 0 0 0 0 0 0 -1 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197464587169 0.662919519128 4 4 1 0 1023 2031 3012 0132 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 1 0 -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 0.549278795863 0.535939451375 3 3 0 2 1302 1023 0132 1230 0 0 0 0 0 -1 0 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 -1 1 0 -1 0 1 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 0.549278795863 0.535939451375 2 6 6 1 3201 0132 1023 0132 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 0 0 0 0 -0.003563075242 0.802011564378 6 5 5 6 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.729837288944 0.506912668789 ==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' : 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' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0101_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0101_5']), 'c_1100_3' : negation(d['c_0101_5']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0101_3']})} 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_3, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 38120913416458/279149636111*c_0101_6^10 - 479072631412621/837448908333*c_0101_6^9 + 411051799683274/837448908333*c_0101_6^8 + 2012344491414131/279149636111*c_0101_6^7 + 14084708858020910/837448908333*c_0101_6^6 + 10719003225401029/837448908333*c_0101_6^5 + 1990182336824143/279149636111*c_0101_6^4 + 960967707219268/279149636111*c_0101_6^3 - 680709986372300/837448908333*c_0101_6^2 - 233577372400002/279149636111*c_0101_6 + 25729698121552/837448908333, c_0011_0 - 1, c_0011_3 + 393619744251/279149636111*c_0101_6^10 + 1565184946227/279149636111*c_0101_6^9 - 1712660745827/279149636111*c_0101_6^8 - 20282459869473/279149636111*c_0101_6^7 - 44336836831068/279149636111*c_0101_6^6 - 29204853528296/279149636111*c_0101_6^5 - 17944951319340/279149636111*c_0101_6^4 - 8310395314594/279149636111*c_0101_6^3 + 2205370090117/279149636111*c_0101_6^2 + 1033714361611/279149636111*c_0101_6 - 199011334331/279149636111, c_0011_5 + 83216126055/279149636111*c_0101_6^10 + 325010040139/279149636111*c_0101_6^9 - 405798205359/279149636111*c_0101_6^8 - 4324434083375/279149636111*c_0101_6^7 - 8917662504565/279149636111*c_0101_6^6 - 4587632821869/279149636111*c_0101_6^5 - 1974824578947/279149636111*c_0101_6^4 - 1551283572845/279149636111*c_0101_6^3 + 1184834482628/279149636111*c_0101_6^2 + 344133324665/279149636111*c_0101_6 - 138335308989/279149636111, c_0101_0 - 429725975574/279149636111*c_0101_6^10 - 1665901176820/279149636111*c_0101_6^9 + 2000989179719/279149636111*c_0101_6^8 + 21816563000557/279149636111*c_0101_6^7 + 46427140300437/279149636111*c_0101_6^6 + 28995917474973/279149636111*c_0101_6^5 + 20019425153954/279149636111*c_0101_6^4 + 8327953207006/279149636111*c_0101_6^3 - 2425253339306/279149636111*c_0101_6^2 - 560888045596/279149636111*c_0101_6 + 164307781320/279149636111, c_0101_3 + 429725975574/279149636111*c_0101_6^10 + 1665901176820/279149636111*c_0101_6^9 - 2000989179719/279149636111*c_0101_6^8 - 21816563000557/279149636111*c_0101_6^7 - 46427140300437/279149636111*c_0101_6^6 - 28995917474973/279149636111*c_0101_6^5 - 20019425153954/279149636111*c_0101_6^4 - 8327953207006/279149636111*c_0101_6^3 + 2425253339306/279149636111*c_0101_6^2 + 560888045596/279149636111*c_0101_6 - 164307781320/279149636111, c_0101_5 - 118830707640/279149636111*c_0101_6^10 - 438010706484/279149636111*c_0101_6^9 + 642577105185/279149636111*c_0101_6^8 + 5929608683328/279149636111*c_0101_6^7 + 11662029171520/279149636111*c_0101_6^6 + 5494508708233/279149636111*c_0101_6^5 + 4086297750812/279149636111*c_0101_6^4 + 1806812510811/279149636111*c_0101_6^3 - 649148362093/279149636111*c_0101_6^2 - 203865925787/279149636111*c_0101_6 + 189369016692/279149636111, c_0101_6^11 + 13/3*c_0101_6^10 - 3*c_0101_6^9 - 160/3*c_0101_6^8 - 392/3*c_0101_6^7 - 111*c_0101_6^6 - 196/3*c_0101_6^5 - 34*c_0101_6^4 + 2/3*c_0101_6^3 + 17/3*c_0101_6^2 - 1/3*c_0101_6 - 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB