Magma V2.19-8 Tue Aug 20 2013 16:19:15 on localhost [Seed = 122067470] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3372 geometric_solution 6.54119374 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 -1 0 1 -1 0 0 1 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 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 0.331106126770 0.616760063307 0 4 2 4 0132 0132 3201 2310 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060280813042 0.904286003078 1 0 6 5 2310 0132 0132 0132 0 0 0 0 0 1 -1 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 0 0 0 0 0.747657165581 0.919374136709 0 6 5 0 3201 1230 2103 0132 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 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 1.057760592263 1.144573761132 1 1 6 5 3201 0132 3012 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.380474225010 1.417513029461 3 6 2 4 2103 1023 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.038979118891 0.698557474037 5 4 3 2 1023 1230 3012 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.708755637032 0.597582352611 ==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' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : negation(d['c_0101_0']), '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_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_5'], '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' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_0']), '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_0101_1']), 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : negation(d['c_0011_5']), 'c_1010_0' : negation(d['c_0101_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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 105554917557566/78177562517*c_0101_6^13 - 203156889506339/156355125034*c_0101_6^12 - 211529149196739/156355125034*c_0101_6^11 - 339793829211619/156355125034*c_0101_6^10 - 49634724146682/78177562517*c_0101_6^9 + 654423323170391/156355125034*c_0101_6^8 + 316533847754469/156355125034*c_0101_6^7 + 119545475439645/156355125034*c_0101_6^6 - 111770066894771/78177562517*c_0101_6^5 - 265017794452025/78177562517*c_0101_6^4 - 60289598778479/156355125034*c_0101_6^3 + 117373871268272/78177562517*c_0101_6^2 + 133758683691613/156355125034*c_0101_6 + 9107204440794/78177562517, c_0011_0 - 1, c_0011_3 - 91325294569/78177562517*c_0101_6^13 - 505964781494/78177562517*c_0101_6^12 + 707052664823/78177562517*c_0101_6^11 + 678033689452/78177562517*c_0101_6^10 + 1010610324221/78177562517*c_0101_6^9 - 143311535045/78177562517*c_0101_6^8 - 1873869507150/78177562517*c_0101_6^7 - 918415168552/78177562517*c_0101_6^6 - 115841542130/78177562517*c_0101_6^5 + 838792894604/78177562517*c_0101_6^4 + 1431373260315/78177562517*c_0101_6^3 - 33295696004/78177562517*c_0101_6^2 - 785315196266/78177562517*c_0101_6 - 276312585846/78177562517, c_0011_5 - 1779175552279/156355125034*c_0101_6^13 - 308354270630/78177562517*c_0101_6^12 + 2262141889154/78177562517*c_0101_6^11 + 2331272420389/78177562517*c_0101_6^10 + 4032695538577/156355125034*c_0101_6^9 - 5017817461749/156355125034*c_0101_6^8 - 10050842136265/156355125034*c_0101_6^7 - 2729218504497/156355125034*c_0101_6^6 + 1053446064641/156355125034*c_0101_6^5 + 7039274555979/156355125034*c_0101_6^4 + 5754334784131/156355125034*c_0101_6^3 - 2578236874123/156355125034*c_0101_6^2 - 1838523534374/78177562517*c_0101_6 - 1009332362651/156355125034, c_0101_0 - 3466715305377/156355125034*c_0101_6^13 + 1621298879991/78177562517*c_0101_6^12 + 1635117508312/78177562517*c_0101_6^11 + 3099280811832/78177562517*c_0101_6^10 + 1745317479481/156355125034*c_0101_6^9 - 10286185690719/156355125034*c_0101_6^8 - 5771421553467/156355125034*c_0101_6^7 - 2876103755703/156355125034*c_0101_6^6 + 3694921085707/156355125034*c_0101_6^5 + 8700666770545/156355125034*c_0101_6^4 + 1500488813957/156355125034*c_0101_6^3 - 3387706763829/156355125034*c_0101_6^2 - 1287652311004/78177562517*c_0101_6 - 571371808323/156355125034, c_0101_1 + 6689395385783/156355125034*c_0101_6^13 - 2983069203751/78177562517*c_0101_6^12 - 3528175569898/78177562517*c_0101_6^11 - 5813969508294/78177562517*c_0101_6^10 - 3682953313617/156355125034*c_0101_6^9 + 20427886901027/156355125034*c_0101_6^8 + 12027007400069/156355125034*c_0101_6^7 + 4987934548265/156355125034*c_0101_6^6 - 7227736376965/156355125034*c_0101_6^5 - 17383344185111/156355125034*c_0101_6^4 - 3577597122577/156355125034*c_0101_6^3 + 7305893520835/156355125034*c_0101_6^2 + 2555171612532/78177562517*c_0101_6 + 976724293023/156355125034, c_0101_2 + 5749756671097/78177562517*c_0101_6^13 - 3763744303272/78177562517*c_0101_6^12 - 8066741990222/78177562517*c_0101_6^11 - 10363475083796/78177562517*c_0101_6^10 - 5137356574771/78177562517*c_0101_6^9 + 17906250748315/78177562517*c_0101_6^8 + 14349211597031/78177562517*c_0101_6^7 + 4282625940208/78177562517*c_0101_6^6 - 5496287963980/78177562517*c_0101_6^5 - 16630513341478/78177562517*c_0101_6^4 - 5592089554829/78177562517*c_0101_6^3 + 7091877283989/78177562517*c_0101_6^2 + 5527834093499/78177562517*c_0101_6 + 1146034847880/78177562517, c_0101_6^14 - 7/19*c_0101_6^13 - 30/19*c_0101_6^12 - 42/19*c_0101_6^11 - 27/19*c_0101_6^10 + 54/19*c_0101_6^9 + 64/19*c_0101_6^8 + 28/19*c_0101_6^7 - 14/19*c_0101_6^6 - 60/19*c_0101_6^5 - 34/19*c_0101_6^4 + 18/19*c_0101_6^3 + 25/19*c_0101_6^2 + 9/19*c_0101_6 + 1/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB