Magma V2.19-8 Tue Aug 20 2013 16:18:05 on localhost [Seed = 2816883567] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2312 geometric_solution 5.70748034 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 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 -1 0 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 0.637444605264 0.556034889152 0 5 3 5 0132 0132 0321 1023 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 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 1.170560559139 1.376484578178 2 0 3 2 3012 0132 3012 1230 0 0 0 0 0 0 0 0 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 1 0 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.109105073790 0.777116407371 4 2 1 0 3012 1230 0321 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 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 0.822827827377 1.261934000790 6 6 0 3 0132 3201 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.275391171208 0.514858870555 5 1 5 1 2310 0132 3201 1023 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 0.545335131746 0.324660674262 4 6 4 6 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.534921804541 1.692377092697 ==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' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0101_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(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_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_0']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_5']), 'c_1010_0' : negation(d['c_0011_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 7795*c_0101_5^25 + 3376*c_0101_5^24 - 97838*c_0101_5^23 - 42597*c_0101_5^22 + 595275*c_0101_5^21 + 198198*c_0101_5^20 - 2316437*c_0101_5^19 - 568156*c_0101_5^18 + 6295929*c_0101_5^17 + 1280856*c_0101_5^16 - 12468907*c_0101_5^15 - 2200485*c_0101_5^14 + 18410578*c_0101_5^13 + 2718329*c_0101_5^12 - 20081867*c_0101_5^11 - 2750047*c_0101_5^10 + 15436705*c_0101_5^9 + 2498533*c_0101_5^8 - 7790999*c_0101_5^7 - 1639635*c_0101_5^6 + 2380040*c_0101_5^5 + 628000*c_0101_5^4 - 390784*c_0101_5^3 - 121415*c_0101_5^2 + 26110*c_0101_5 + 9074, c_0011_0 - 1, c_0011_3 + 11*c_0101_5^25 - 14*c_0101_5^24 - 147*c_0101_5^23 + 182*c_0101_5^22 + 950*c_0101_5^21 - 1235*c_0101_5^20 - 3775*c_0101_5^19 + 5272*c_0101_5^18 + 10246*c_0101_5^17 - 15236*c_0101_5^16 - 20246*c_0101_5^15 + 31810*c_0101_5^14 + 29576*c_0101_5^13 - 49707*c_0101_5^12 - 30947*c_0101_5^11 + 57250*c_0101_5^10 + 22032*c_0101_5^9 - 46255*c_0101_5^8 - 10149*c_0101_5^7 + 24829*c_0101_5^6 + 2849*c_0101_5^5 - 8385*c_0101_5^4 - 438*c_0101_5^3 + 1614*c_0101_5^2 + 28*c_0101_5 - 134, c_0011_4 + 323*c_0101_5^25 + 37*c_0101_5^24 - 4182*c_0101_5^23 - 409*c_0101_5^22 + 26238*c_0101_5^21 - 436*c_0101_5^20 - 104518*c_0101_5^19 + 12392*c_0101_5^18 + 289684*c_0101_5^17 - 51981*c_0101_5^16 - 585409*c_0101_5^15 + 131913*c_0101_5^14 + 882130*c_0101_5^13 - 241767*c_0101_5^12 - 979980*c_0101_5^11 + 307404*c_0101_5^10 + 766873*c_0101_5^9 - 252082*c_0101_5^8 - 395890*c_0101_5^7 + 127491*c_0101_5^6 + 124842*c_0101_5^5 - 37966*c_0101_5^4 - 21397*c_0101_5^3 + 6051*c_0101_5^2 + 1507*c_0101_5 - 395, c_0101_0 + c_0101_5^25 - 13*c_0101_5^23 + 82*c_0101_5^21 - 8*c_0101_5^20 - 328*c_0101_5^19 + 60*c_0101_5^18 + 915*c_0101_5^17 - 208*c_0101_5^16 - 1871*c_0101_5^15 + 478*c_0101_5^14 + 2869*c_0101_5^13 - 814*c_0101_5^12 - 3275*c_0101_5^11 + 978*c_0101_5^10 + 2698*c_0101_5^9 - 764*c_0101_5^8 - 1540*c_0101_5^7 + 369*c_0101_5^6 + 582*c_0101_5^5 - 105*c_0101_5^4 - 137*c_0101_5^3 + 16*c_0101_5^2 + 17*c_0101_5 - 1, c_0101_1 + 16*c_0101_5^25 - c_0101_5^24 - 207*c_0101_5^23 + 13*c_0101_5^22 + 1299*c_0101_5^21 - 210*c_0101_5^20 - 5158*c_0101_5^19 + 1280*c_0101_5^18 + 14252*c_0101_5^17 - 4183*c_0101_5^16 - 28813*c_0101_5^15 + 9311*c_0101_5^14 + 43555*c_0101_5^13 - 15415*c_0101_5^12 - 48717*c_0101_5^11 + 18109*c_0101_5^10 + 38915*c_0101_5^9 - 13944*c_0101_5^8 - 21178*c_0101_5^7 + 6680*c_0101_5^6 + 7403*c_0101_5^5 - 1893*c_0101_5^4 - 1505*c_0101_5^3 + 288*c_0101_5^2 + 136*c_0101_5 - 18, c_0101_2 - 2*c_0101_5^25 + c_0101_5^24 + 25*c_0101_5^23 - 13*c_0101_5^22 - 152*c_0101_5^21 + 98*c_0101_5^20 + 578*c_0101_5^19 - 440*c_0101_5^18 - 1512*c_0101_5^17 + 1279*c_0101_5^16 + 2877*c_0101_5^15 - 2671*c_0101_5^14 - 4046*c_0101_5^13 + 4175*c_0101_5^12 + 4081*c_0101_5^11 - 4739*c_0101_5^10 - 2798*c_0101_5^9 + 3740*c_0101_5^8 + 1238*c_0101_5^7 - 2000*c_0101_5^6 - 333*c_0101_5^5 + 701*c_0101_5^4 + 49*c_0101_5^3 - 155*c_0101_5^2 - 3*c_0101_5 + 17, c_0101_5^26 - 13*c_0101_5^24 + 82*c_0101_5^22 - 8*c_0101_5^21 - 328*c_0101_5^20 + 60*c_0101_5^19 + 915*c_0101_5^18 - 208*c_0101_5^17 - 1871*c_0101_5^16 + 478*c_0101_5^15 + 2869*c_0101_5^14 - 814*c_0101_5^13 - 3275*c_0101_5^12 + 978*c_0101_5^11 + 2698*c_0101_5^10 - 764*c_0101_5^9 - 1540*c_0101_5^8 + 369*c_0101_5^7 + 582*c_0101_5^6 - 105*c_0101_5^5 - 137*c_0101_5^4 + 16*c_0101_5^3 + 18*c_0101_5^2 - c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB