Magma V2.19-8 Tue Aug 20 2013 16:14:08 on localhost [Seed = 1141233762] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s098 geometric_solution 3.94752488 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 1023 3201 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 0 -1 1 0 0 0 -1 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 0.815912819627 0.060121373199 0 2 0 2 0132 0132 1023 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 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 0.741103789232 0.129166543518 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 1 -1 0 0 -1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558800479182 0.623525647064 2 5 4 4 0132 0132 3012 1230 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987955280278 1.695975527278 3 3 5 2 3012 1230 3201 0132 0 0 0 0 0 -1 0 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 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 0.987955280278 1.695975527278 4 3 5 5 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.428141750972 0.878788784546 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(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_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' : negation(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_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], '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_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_4']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} 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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 62369651/27736827*c_0101_4^12 - 973305850/27736827*c_0101_4^11 - 5591609042/27736827*c_0101_4^10 - 5109907246/9245609*c_0101_4^9 - 7356949897/9245609*c_0101_4^8 - 13444018745/27736827*c_0101_4^7 + 2326717642/9245609*c_0101_4^6 + 770994628/1205949*c_0101_4^5 + 10518365707/27736827*c_0101_4^4 + 11405210/486611*c_0101_4^3 - 645480322/9245609*c_0101_4^2 - 808611583/27736827*c_0101_4 - 118609048/27736827, c_0011_0 - 1, c_0011_4 + 2954317/9245609*c_0101_4^12 + 45585483/9245609*c_0101_4^11 + 257882626/9245609*c_0101_4^10 + 695699465/9245609*c_0101_4^9 + 999154219/9245609*c_0101_4^8 + 631807592/9245609*c_0101_4^7 - 263533983/9245609*c_0101_4^6 - 33083638/401983*c_0101_4^5 - 490286729/9245609*c_0101_4^4 - 2582322/486611*c_0101_4^3 + 89187164/9245609*c_0101_4^2 + 26031480/9245609*c_0101_4 - 2725976/9245609, c_0101_0 + 371219/401983*c_0101_4^12 + 5724258/401983*c_0101_4^11 + 32324281/401983*c_0101_4^10 + 86847434/401983*c_0101_4^9 + 124163172/401983*c_0101_4^8 + 80236255/401983*c_0101_4^7 - 24793996/401983*c_0101_4^6 - 82026707/401983*c_0101_4^5 - 54899729/401983*c_0101_4^4 - 722746/21157*c_0101_4^3 + 896939/401983*c_0101_4^2 + 415102/401983*c_0101_4 + 614420/401983, c_0101_1 + 8503213/9245609*c_0101_4^12 + 123252453/9245609*c_0101_4^11 + 620762829/9245609*c_0101_4^10 + 1328620842/9245609*c_0101_4^9 + 1130788674/9245609*c_0101_4^8 - 484318676/9245609*c_0101_4^7 - 1861559893/9245609*c_0101_4^6 - 48954537/401983*c_0101_4^5 + 373946690/9245609*c_0101_4^4 + 31297545/486611*c_0101_4^3 + 130436633/9245609*c_0101_4^2 - 62873405/9245609*c_0101_4 - 2279455/9245609, c_0101_3 + 2725976/9245609*c_0101_4^12 + 40661299/9245609*c_0101_4^11 + 216108213/9245609*c_0101_4^10 + 516294558/9245609*c_0101_4^9 + 574605351/9245609*c_0101_4^8 + 69428373/9245609*c_0101_4^7 - 582740024/9245609*c_0101_4^6 - 25046375/401983*c_0101_4^5 - 45965222/9245609*c_0101_4^4 + 11600795/486611*c_0101_4^3 + 95405710/9245609*c_0101_4^2 - 28148011/9245609*c_0101_4 - 11333919/9245609, c_0101_4^13 + 16*c_0101_4^12 + 96*c_0101_4^11 + 284*c_0101_4^10 + 466*c_0101_4^9 + 392*c_0101_4^8 + 18*c_0101_4^7 - 308*c_0101_4^6 - 296*c_0101_4^5 - 99*c_0101_4^4 + 17*c_0101_4^3 + 19*c_0101_4^2 + 2*c_0101_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB