Magma V2.19-8 Tue Aug 20 2013 16:14:51 on localhost [Seed = 3069651674] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s826 geometric_solution 5.39483211 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -1 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 0.385296117587 0.592439883909 3 0 5 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 1 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598864351862 0.597352113908 5 4 3 0 1023 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598864351862 0.597352113908 1 3 2 3 0132 1302 1023 2031 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.139475297107 0.558095193942 2 4 1 4 1023 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.176353886759 1.245508501687 5 2 5 1 2310 1023 3201 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 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018824423273 0.689813647698 ==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' : 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' : negation(d['1']), 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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_0011_2']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0110_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0110_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : 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_2, c_0101_0, c_0101_1, c_0101_3, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 40281084359675/22085849304064*c_0110_4^11 - 4733791471601/2760731163008*c_0110_4^10 + 484469715584767/22085849304064*c_0110_4^9 - 1282964734023489/22085849304064*c_0110_4^8 + 88383041530449/849455742464*c_0110_4^7 - 969947473745387/5521462326016*c_0110_4^6 + 2219820711361025/11042924652032*c_0110_4^5 - 2977302725863535/22085849304064*c_0110_4^4 + 23867715990575/212363935616*c_0110_4^3 - 1620867438289/172545697688*c_0110_4^2 - 46077805691483/690182790752*c_0110_4 + 522390502878761/22085849304064, c_0011_0 - 1, c_0011_2 - 65461453/237013321*c_0110_4^11 - 52634058/237013321*c_0110_4^10 + 805454472/237013321*c_0110_4^9 - 2167273419/237013321*c_0110_4^8 + 3920444814/237013321*c_0110_4^7 - 6692824552/237013321*c_0110_4^6 + 7946421629/237013321*c_0110_4^5 - 5549683637/237013321*c_0110_4^4 + 4728460901/237013321*c_0110_4^3 - 1209777085/237013321*c_0110_4^2 - 2621720852/237013321*c_0110_4 + 771921200/237013321, c_0101_0 - 16656/332417*c_0110_4^11 - 263/332417*c_0110_4^10 + 221653/332417*c_0110_4^9 - 686264/332417*c_0110_4^8 + 1402580/332417*c_0110_4^7 - 2527163/332417*c_0110_4^6 + 3391721/332417*c_0110_4^5 - 2658351/332417*c_0110_4^4 + 2015450/332417*c_0110_4^3 - 858651/332417*c_0110_4^2 - 1250721/332417*c_0110_4 + 709691/332417, c_0101_1 + 84801941/237013321*c_0110_4^11 + 61619809/237013321*c_0110_4^10 - 1065049375/237013321*c_0110_4^9 + 2875588814/237013321*c_0110_4^8 - 5086580466/237013321*c_0110_4^7 + 8491327238/237013321*c_0110_4^6 - 10153024756/237013321*c_0110_4^5 + 6934047392/237013321*c_0110_4^4 - 5511868142/237013321*c_0110_4^3 + 1583444634/237013321*c_0110_4^2 + 3173331112/237013321*c_0110_4 - 1116351739/237013321, c_0101_3 + 154411400/237013321*c_0110_4^11 + 132141953/237013321*c_0110_4^10 - 1907406989/237013321*c_0110_4^9 + 4993568688/237013321*c_0110_4^8 - 8835111632/237013321*c_0110_4^7 + 14910755510/237013321*c_0110_4^6 - 17279745361/237013321*c_0110_4^5 + 11126889513/237013321*c_0110_4^4 - 9396808529/237013321*c_0110_4^3 + 1619596053/237013321*c_0110_4^2 + 6365029847/237013321*c_0110_4 - 1372961248/237013321, c_0110_4^12 - 13*c_0110_4^10 + 43*c_0110_4^9 - 86*c_0110_4^8 + 148*c_0110_4^7 - 198*c_0110_4^6 + 173*c_0110_4^5 - 128*c_0110_4^4 + 64*c_0110_4^3 + 32*c_0110_4^2 - 43*c_0110_4 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB