Magma V2.19-8 Tue Aug 20 2013 16:17:28 on localhost [Seed = 1427425679] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1704 geometric_solution 5.41577735 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 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 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 0.520010629543 0.466803228043 3 2 4 0 0132 3012 0132 0132 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 1 -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 0.935094690799 0.955944374313 1 3 0 4 1230 3201 0132 3201 0 0 0 0 0 -1 0 1 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 1 -1 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935094690799 0.955944374313 1 5 2 5 0132 0132 2310 1023 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 1.547575229517 0.583576177857 6 2 6 1 0132 2310 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.021109954137 1.591954136240 5 3 5 3 2310 0132 3201 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 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 0.694945504371 0.519757626837 4 6 4 6 0132 1302 1023 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415991256492 0.124343949713 ==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' : 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' : 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_4'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(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_1, c_0011_4, c_0101_1, c_0101_2, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 160825348/83994125*c_0101_4*c_0101_5^9 - 247442309/83994125*c_0101_4*c_0101_5^8 + 1076698213/83994125*c_0101_4*c_0101_5^7 - 2653328236/83994125*c_0101_4*c_0101_5^6 - 446663804/83994125*c_0101_4*c_0101_5^5 + 156289848/16798825*c_0101_4*c_0101_5^4 - 8832618671/83994125*c_0101_4*c_0101_5^3 + 209276634/83994125*c_0101_4*c_0101_5^2 + 170319812/3359765*c_0101_4*c_0101_5 - 1289070533/83994125*c_0101_4, c_0011_0 - 1, c_0011_1 + 44366/3359765*c_0101_4*c_0101_5^9 - 327268/3359765*c_0101_4*c_0101_5^8 + 569036/3359765*c_0101_4*c_0101_5^7 - 2332382/3359765*c_0101_4*c_0101_5^6 + 3293322/3359765*c_0101_4*c_0101_5^5 + 569878/671953*c_0101_4*c_0101_5^4 - 3292652/3359765*c_0101_4*c_0101_5^3 + 15656093/3359765*c_0101_4*c_0101_5^2 + 1086941/671953*c_0101_4*c_0101_5 - 3437371/3359765*c_0101_4, c_0011_4 + 821044/3359765*c_0101_5^9 - 1703302/3359765*c_0101_5^8 + 6668369/3359765*c_0101_5^7 - 17731408/3359765*c_0101_5^6 + 9480508/3359765*c_0101_5^5 - 1401961/671953*c_0101_5^4 - 36986588/3359765*c_0101_5^3 + 19764377/3359765*c_0101_5^2 - 730713/671953*c_0101_5 + 3856316/3359765, c_0101_1 - 38803/3359765*c_0101_5^9 + 99789/3359765*c_0101_5^8 - 474058/3359765*c_0101_5^7 + 1099381/3359765*c_0101_5^6 - 1554221/3359765*c_0101_5^5 + 391417/671953*c_0101_5^4 + 3248436/3359765*c_0101_5^3 - 2461189/3359765*c_0101_5^2 + 1245154/671953*c_0101_5 + 882258/3359765, c_0101_2 - 2577524/3359765*c_0101_4*c_0101_5^9 + 5116017/3359765*c_0101_4*c_0101_5^8 - 20683809/3359765*c_0101_4*c_0101_5^7 + 53923038/3359765*c_0101_4*c_0101_5^6 - 25671363/3359765*c_0101_4*c_0101_5^5 + 4365080/671953*c_0101_4*c_0101_5^4 + 124170803/3359765*c_0101_4*c_0101_5^3 - 53251877/3359765*c_0101_4*c_0101_5^2 + 2530300/671953*c_0101_4*c_0101_5 - 5340721/3359765*c_0101_4, c_0101_4^2 - 1182008/3359765*c_0101_5^9 + 2117444/3359765*c_0101_5^8 - 9048033/3359765*c_0101_5^7 + 23121206/3359765*c_0101_5^6 - 7159096/3359765*c_0101_5^5 + 1801463/671953*c_0101_5^4 + 56755901/3359765*c_0101_5^3 - 18263894/3359765*c_0101_5^2 - 435351/671953*c_0101_5 - 5529627/3359765, c_0101_5^10 - 2*c_0101_5^9 + 8*c_0101_5^8 - 21*c_0101_5^7 + 10*c_0101_5^6 - 8*c_0101_5^5 - 47*c_0101_5^4 + 21*c_0101_5^3 - 2*c_0101_5^2 + 4*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB