Magma V2.19-8 Wed Aug 21 2013 00:16:30 on localhost [Seed = 2867644295] Type ? for help. Type -D to quit. Loading file "K13n571__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n571 geometric_solution 11.54073751 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 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 0.213641058119 0.954652463892 0 5 5 6 0132 0132 1302 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 4 -4 0 -4 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495314149752 0.560846462216 4 0 8 7 0213 0132 0132 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 -1 1 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 1.254304619094 0.500572523191 9 9 10 0 0132 2103 0132 0132 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 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351963808236 0.886532509040 2 7 0 10 0213 0321 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.464206445688 0.803795315418 1 1 11 12 2031 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -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 -1 1 0 0 4 -4 1 0 0 -1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.115328553879 1.001717497932 11 10 1 12 2103 3012 0132 2103 0 0 0 0 0 0 0 0 -1 0 1 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 -4 0 4 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585323378941 0.289497154858 8 9 2 4 0213 2310 0132 0321 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 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000503879095 0.705330846860 7 12 12 2 0213 3120 3201 0132 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 1 0 -1 0 0 0 0 0 1 0 -1 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.461476195448 0.735940541632 3 3 11 7 0132 2103 2103 3201 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 -3 0 3 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.843021889463 1.171033838328 6 11 4 3 1230 3120 0132 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 -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 -0.085779999199 1.151376649992 9 10 6 5 2103 3120 2103 0132 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 4 -4 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.010230235878 1.219724890811 8 8 5 6 2310 3120 0132 2103 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 1 -1 0 -4 0 4 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388423931597 0.975312762543 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_11']), 'c_1001_2' : negation(d['c_0011_12']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], 'c_0101_10' : negation(d['c_0011_8']), '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_12']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : negation(d['c_0011_12']), 'c_1010_9' : negation(d['c_1001_0']), 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : negation(d['c_0011_12']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0110_6']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_7'], 'c_0110_10' : d['c_0011_6'], 'c_0110_12' : negation(d['c_0011_7']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_8'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_8'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_12, c_0110_6, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 16297/3823617*c_1100_0^3 + 11477/5098156*c_1100_0^2 + 403789/15294468*c_1100_0 + 66271/413364, c_0011_0 - 1, c_0011_10 - 9/74*c_1100_0^3 + 13/74*c_1100_0^2 - 99/74*c_1100_0, c_0011_11 + 1/74*c_1100_0^3 - 11/37*c_1100_0^2 + 24/37*c_1100_0 - 5/2, c_0011_12 + 1/37*c_1100_0^3 - 7/74*c_1100_0^2 + 59/74*c_1100_0 - 1/2, c_0011_4 + 4/37*c_1100_0^3 - 14/37*c_1100_0^2 + 44/37*c_1100_0 - 1, c_0011_6 - 5/74*c_1100_0^3 - 1/74*c_1100_0^2 - 55/74*c_1100_0 - 1, c_0011_7 + 11/74*c_1100_0^3 - 10/37*c_1100_0^2 + 42/37*c_1100_0 - 1/2, c_0011_8 + 5/37*c_1100_0^3 - 35/74*c_1100_0^2 + 73/74*c_1100_0 - 1/2, c_0101_0 - 2/37*c_1100_0^3 + 7/37*c_1100_0^2 - 22/37*c_1100_0, c_0101_12 - 1/74*c_1100_0^3 - 15/74*c_1100_0^2 - 11/74*c_1100_0 - 1, c_0110_6 + 5/37*c_1100_0^3 + 1/37*c_1100_0^2 + 18/37*c_1100_0, c_1001_0 - 3/74*c_1100_0^3 - 4/37*c_1100_0^2 - 35/37*c_1100_0 - 3/2, c_1100_0^4 - 2*c_1100_0^3 + 15*c_1100_0^2 - 2*c_1100_0 + 37 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_12, c_0110_6, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 5/84*c_1100_0^3 - 19/84*c_1100_0^2 - 1/12*c_1100_0 + 2/7, c_0011_0 - 1, c_0011_10 - c_1100_0 - 2, c_0011_11 + c_1100_0^3 + 4*c_1100_0^2 + 3*c_1100_0 - 2, c_0011_12 - c_1100_0^3 - 3*c_1100_0^2 - c_1100_0 + 1, c_0011_4 + c_1100_0^2 + 2*c_1100_0 - 2, c_0011_6 - c_1100_0 - 1, c_0011_7 - c_1100_0^3 - 2*c_1100_0^2 + c_1100_0 + 1, c_0011_8 + c_1100_0, c_0101_0 - c_1100_0^2 - 2*c_1100_0, c_0101_12 + c_1100_0^2 + c_1100_0 - 1, c_0110_6 - 2*c_1100_0^3 - 4*c_1100_0^2 + 2*c_1100_0, c_1001_0 + 1, c_1100_0^4 + 4*c_1100_0^3 + 3*c_1100_0^2 - 2*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_12, c_0110_6, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 52892495/263923832*c_1100_0^7 + 80717575/263923832*c_1100_0^6 + 286671793/131961916*c_1100_0^5 + 654456509/263923832*c_1100_0^4 + 1397220395/131961916*c_1100_0^3 + 3678152797/263923832*c_1100_0^2 + 3674042039/263923832*c_1100_0 + 1014018137/131961916, c_0011_0 - 1, c_0011_10 + 4485/224044*c_1100_0^7 - 9781/224044*c_1100_0^6 + 16441/112022*c_1100_0^5 - 98493/224044*c_1100_0^4 + 70373/112022*c_1100_0^3 - 403283/224044*c_1100_0^2 - 274069/224044*c_1100_0 - 152285/112022, c_0011_11 - 4873/224044*c_1100_0^7 - 1786/56011*c_1100_0^6 - 44581/224044*c_1100_0^5 - 40151/224044*c_1100_0^4 - 175239/224044*c_1100_0^3 - 231513/224044*c_1100_0^2 + 16405/112022*c_1100_0 + 285273/224044, c_0011_12 + 6813/112022*c_1100_0^7 + 15505/224044*c_1100_0^6 + 150141/224044*c_1100_0^5 + 61239/112022*c_1100_0^4 + 751419/224044*c_1100_0^3 + 380899/112022*c_1100_0^2 + 946695/224044*c_1100_0 + 574611/224044, c_0011_4 + 11113/112022*c_1100_0^7 + 15453/112022*c_1100_0^6 + 119553/112022*c_1100_0^5 + 62363/56011*c_1100_0^4 + 590233/112022*c_1100_0^3 + 355140/56011*c_1100_0^2 + 396883/56011*c_1100_0 + 425809/112022, c_0011_6 - 10947/224044*c_1100_0^7 - 22359/224044*c_1100_0^6 - 31885/56011*c_1100_0^5 - 183783/224044*c_1100_0^4 - 158810/56011*c_1100_0^3 - 977437/224044*c_1100_0^2 - 1127375/224044*c_1100_0 - 279079/112022, c_0011_7 + 5201/224044*c_1100_0^7 + 9571/112022*c_1100_0^6 + 70639/224044*c_1100_0^5 + 167749/224044*c_1100_0^4 + 368389/224044*c_1100_0^3 + 773919/224044*c_1100_0^2 + 199847/56011*c_1100_0 + 505955/224044, c_0011_8 + 2473/112022*c_1100_0^7 + 12205/224044*c_1100_0^6 + 61651/224044*c_1100_0^5 + 46399/112022*c_1100_0^4 + 328541/224044*c_1100_0^3 + 232639/112022*c_1100_0^2 + 552337/224044*c_1100_0 + 187955/224044, c_0101_0 - 1970/56011*c_1100_0^7 - 3072/56011*c_1100_0^6 - 23310/56011*c_1100_0^5 - 26611/56011*c_1100_0^4 - 121142/56011*c_1100_0^3 - 139570/56011*c_1100_0^2 - 210688/56011*c_1100_0 - 74591/56011, c_0101_12 + 3067/224044*c_1100_0^7 + 10071/224044*c_1100_0^6 + 8575/56011*c_1100_0^5 + 77339/224044*c_1100_0^4 + 37668/56011*c_1100_0^3 + 419157/224044*c_1100_0^2 + 284623/224044*c_1100_0 + 129897/112022, c_0110_6 + 2790/56011*c_1100_0^7 + 10123/112022*c_1100_0^6 + 32444/56011*c_1100_0^5 + 75091/112022*c_1100_0^4 + 155929/56011*c_1100_0^3 + 358653/112022*c_1100_0^2 + 218776/56011*c_1100_0 + 92276/56011, c_1001_0 - 6001/224044*c_1100_0^7 - 5077/112022*c_1100_0^6 - 65889/224044*c_1100_0^5 - 90985/224044*c_1100_0^4 - 306699/224044*c_1100_0^3 - 512159/224044*c_1100_0^2 - 287519/112022*c_1100_0 - 370203/224044, c_1100_0^8 + 2*c_1100_0^7 + 12*c_1100_0^6 + 18*c_1100_0^5 + 63*c_1100_0^4 + 98*c_1100_0^3 + 122*c_1100_0^2 + 92*c_1100_0 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 10.740 Total time: 10.949 seconds, Total memory usage: 64.12MB