Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 1275973667] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s830 geometric_solution 5.40283949 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 1 -1 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 -1 0 1 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 0.453436163754 0.280057535780 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 -1 1 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.950163235198 0.705933556650 1 3 4 5 0132 0213 0132 0132 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.469621545530 0.671740541746 5 4 2 1 1023 3201 0213 0132 0 0 0 0 0 -1 0 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 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 0.469621545530 0.671740541746 4 4 3 2 1302 2031 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.725920363263 1.209627816136 5 3 2 5 3201 1023 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.097423745132 1.022592215176 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0011_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0011_4, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 57648560746817/107766752848*c_0101_0*c_0101_1^11 - 23777345063463/107766752848*c_0101_0*c_0101_1^10 - 149340774815707/53883376424*c_0101_0*c_0101_1^9 + 1548492787965507/107766752848*c_0101_0*c_0101_1^8 + 446937799122665/13470844106*c_0101_0*c_0101_1^7 - 19318733750071393/107766752848*c_0101_0*c_0101_1^6 + 11166351697566347/53883376424*c_0101_0*c_0101_1^5 - 118959778818715/1364136112*c_0101_0*c_0101_1^4 + 358059274606081/26941688212*c_0101_0*c_0101_1^3 + 960062277912779/53883376424*c_0101_0*c_0101_1^2 - 593955717827503/107766752848*c_0101_0*c_0101_1 - 122018738142359/107766752848*c_0101_0, c_0011_0 - 1, c_0011_1 - 679968797/85258507*c_0101_1^11 - 299249302/85258507*c_0101_1^10 - 3531382414/85258507*c_0101_1^9 + 18165232027/85258507*c_0101_1^8 + 42673861118/85258507*c_0101_1^7 - 226691396595/85258507*c_0101_1^6 + 257202665801/85258507*c_0101_1^5 - 103682916670/85258507*c_0101_1^4 + 13515197219/85258507*c_0101_1^3 + 23637550105/85258507*c_0101_1^2 - 6558642364/85258507*c_0101_1 - 1597178341/85258507, c_0011_3 - 43353949867/13470844106*c_0101_0*c_0101_1^11 - 18719947671/13470844106*c_0101_0*c_0101_1^10 - 112473963157/6735422053*c_0101_0*c_0101_1^9 + 1159777172189/13470844106*c_0101_0*c_0101_1^8 + 1355524738482/6735422053*c_0101_0*c_0101_1^7 - 14479536807243/13470844106*c_0101_0*c_0101_1^6 + 8260923972474/6735422053*c_0101_0*c_0101_1^5 - 84877948361/170517014*c_0101_0*c_0101_1^4 + 410597293673/6735422053*c_0101_0*c_0101_1^3 + 777034255793/6735422053*c_0101_0*c_0101_1^2 - 443176284147/13470844106*c_0101_0*c_0101_1 - 94511037693/13470844106*c_0101_0, c_0011_4 - 147508072273/13470844106*c_0101_0*c_0101_1^11 - 62499696755/13470844106*c_0101_0*c_0101_1^10 - 382399786439/6735422053*c_0101_0*c_0101_1^9 + 3953471820015/13470844106*c_0101_0*c_0101_1^8 + 4596987243159/6735422053*c_0101_0*c_0101_1^7 - 49333364081663/13470844106*c_0101_0*c_0101_1^6 + 28292174657879/6735422053*c_0101_0*c_0101_1^5 - 295509160427/170517014*c_0101_0*c_0101_1^4 + 1640410697867/6735422053*c_0101_0*c_0101_1^3 + 2514896655702/6735422053*c_0101_0*c_0101_1^2 - 1480287564433/13470844106*c_0101_0*c_0101_1 - 319568566207/13470844106*c_0101_0, c_0101_0^2 + 679968797/85258507*c_0101_1^11 + 299249302/85258507*c_0101_1^10 + 3531382414/85258507*c_0101_1^9 - 18165232027/85258507*c_0101_1^8 - 42673861118/85258507*c_0101_1^7 + 226691396595/85258507*c_0101_1^6 - 257202665801/85258507*c_0101_1^5 + 103682916670/85258507*c_0101_1^4 - 13515197219/85258507*c_0101_1^3 - 23637550105/85258507*c_0101_1^2 + 6558642364/85258507*c_0101_1 + 1511919834/85258507, c_0101_1^12 + 5*c_0101_1^10 - 29*c_0101_1^9 - 51*c_0101_1^8 + 361*c_0101_1^7 - 525*c_0101_1^6 + 319*c_0101_1^5 - 87*c_0101_1^4 - 26*c_0101_1^3 + 25*c_0101_1^2 - 2*c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB