Magma V2.19-8 Wed Aug 21 2013 00:27:36 on localhost [Seed = 1410484187] Type ? for help. Type -D to quit. Loading file "K14n15681__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n15681 geometric_solution 12.03627039 oriented_manifold CS_known 0.0000000000000000 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 1 0 -1 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 0.270394166418 1.671424224541 0 5 2 6 0132 0132 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 -1 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 0.119268475509 0.593622932192 7 0 1 4 0132 0132 1023 1230 0 0 0 0 0 0 0 0 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 -1 0 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 -0.129896848561 0.739635758198 8 4 9 0 0132 0132 0132 0132 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.119268475509 0.593622932192 2 3 0 10 3012 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.129896848561 0.739635758198 7 1 9 11 1023 0132 1302 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 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611046568228 0.979673505265 11 12 1 10 3012 0132 0132 3120 0 0 0 0 0 -1 0 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 2 0 -2 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515831235585 0.801904919295 2 5 8 12 0132 1023 0213 3012 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 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 0.828873673312 0.760634446099 3 7 11 12 0132 0213 3012 1023 0 0 0 0 0 0 0 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 -1 1 0 1 0 0 -1 1 -1 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.515831235585 0.801904919295 5 11 10 3 2031 1023 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 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 0.611046568228 0.979673505265 6 12 4 9 3120 3012 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828873673312 0.760634446099 9 8 5 6 1023 1230 0132 1230 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 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.449690114636 1.263177802141 10 6 7 8 1230 0132 1230 1023 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 -2 1 1 0 0 0 0 2 -2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612449038646 0.598541589480 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_9'], 'c_1001_11' : d['c_0101_2'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : d['c_0101_11'], 's_3_11' : d['1'], 's_0_11' : 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_11'], 'c_0101_10' : d['c_0101_10'], '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_1100_8' : negation(d['c_0101_2']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_10'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_12']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_0011_10'], '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' : d['c_0101_2'], '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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0101_9'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_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_3']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_3, c_0101_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 167924593883/5644460360*c_0101_9^11 + 1886131009247/5644460360*c_0101_9^10 + 2730263693099/1411115090*c_0101_9^9 + 20001784674419/2822230180*c_0101_9^8 + 17200474221/1031140*c_0101_9^7 + 15293594026775/564446036*c_0101_9^\ 6 + 22985842276272/705557545*c_0101_9^5 + 10068091664809/403175740*c_0101_9^4 + 1708815177560/141111509*c_0101_9^3 + 1798542758/539005*c_0101_9^2 + 223967508811/705557545*c_0101_9 - 57186483614/705557545, c_0011_0 - 1, c_0011_10 - 382911/515570*c_0101_9^11 - 8851393/1031140*c_0101_9^10 - 13174961/257785*c_0101_9^9 - 99842961/515570*c_0101_9^8 - 247363003/515570*c_0101_9^7 - 42942338/51557*c_0101_9^6 - 279037916/257785*c_0101_9^5 - 249280236/257785*c_0101_9^4 - 30906659/51557*c_0101_9^3 - 5929361/23435*c_0101_9^2 - 17457268/257785*c_0101_9 - 2588803/257785, c_0011_11 - 1034389/1031140*c_0101_9^11 - 12144101/1031140*c_0101_9^10 - 36626039/515570*c_0101_9^9 - 140744677/515570*c_0101_9^8 - 355269271/515570*c_0101_9^7 - 62857870/51557*c_0101_9^6 - 415548062/257785*c_0101_9^5 - 382753132/257785*c_0101_9^4 - 48608940/51557*c_0101_9^3 - 9632157/23435*c_0101_9^2 - 29865481/257785*c_0101_9 - 4915366/257785, c_0011_12 + 1034389/1031140*c_0101_9^11 + 12144101/1031140*c_0101_9^10 + 36626039/515570*c_0101_9^9 + 140744677/515570*c_0101_9^8 + 355269271/515570*c_0101_9^7 + 62857870/51557*c_0101_9^6 + 415548062/257785*c_0101_9^5 + 382753132/257785*c_0101_9^4 + 48608940/51557*c_0101_9^3 + 9632157/23435*c_0101_9^2 + 29865481/257785*c_0101_9 + 4657581/257785, c_0011_3 - 9017/93740*c_0101_9^11 - 88083/93740*c_0101_9^10 - 449409/93740*c_0101_9^9 - 1408317/93740*c_0101_9^8 - 640804/23435*c_0101_9^7 - 305529/9374*c_0101_9^6 - 1332787/46870*c_0101_9^5 - 70437/46870*c_0101_9^4 - 6303/4687*c_0101_9^3 + 53279/23435*c_0101_9^2 - 6873/23435*c_0101_9 + 7007/23435, c_0101_0 - 66274/257785*c_0101_9^11 - 1295667/515570*c_0101_9^10 - 6499241/515570*c_0101_9^9 - 39075451/1031140*c_0101_9^8 - 15618452/257785*c_0101_9^7 - 2273856/51557*c_0101_9^6 + 3937907/257785*c_0101_9^5 + 65719209/515570*c_0101_9^4 + 6996952/51557*c_0101_9^3 + 1827807/23435*c_0101_9^2 + 6159766/257785*c_0101_9 + 1023291/257785, c_0101_1 - 28768/257785*c_0101_9^11 - 563049/515570*c_0101_9^10 - 2826887/515570*c_0101_9^9 - 4253793/257785*c_0101_9^8 - 6817274/257785*c_0101_9^7 - 998739/51557*c_0101_9^6 + 1632019/257785*c_0101_9^5 + 28236113/515570*c_0101_9^4 + 3010484/51557*c_0101_9^3 + 786709/23435*c_0101_9^2 + 2651702/257785*c_0101_9 + 635147/257785, c_0101_10 - 218829/515570*c_0101_9^11 - 4939897/1031140*c_0101_9^10 - 28877601/1031140*c_0101_9^9 - 107385133/1031140*c_0101_9^8 - 64969786/257785*c_0101_9^7 - 44297395/103114*c_0101_9^6 - 284985473/515570*c_0101_9^5 - 249226633/515570*c_0101_9^4 - 15819646/51557*c_0101_9^3 - 3117304/23435*c_0101_9^2 - 9997737/257785*c_0101_9 - 1454567/257785, c_0101_11 - 573933/1031140*c_0101_9^11 - 6461437/1031140*c_0101_9^10 - 18811153/515570*c_0101_9^9 - 139066043/1031140*c_0101_9^8 - 83236466/257785*c_0101_9^7 - 55745627/103114*c_0101_9^6 - 174900144/257785*c_0101_9^5 - 145985164/257785*c_0101_9^4 - 17068602/51557*c_0101_9^3 - 2932184/23435*c_0101_9^2 - 7992132/257785*c_0101_9 - 830477/257785, c_0101_2 + c_0101_9 + 1, c_0101_3 + 423909/1031140*c_0101_9^11 + 4996201/1031140*c_0101_9^10 + 15138799/515570*c_0101_9^9 + 29251441/257785*c_0101_9^8 + 74435288/257785*c_0101_9^7 + 53195393/103114*c_0101_9^6 + 177206032/257785*c_0101_9^5 + 164726712/257785*c_0101_9^4 + 21055070/51557*c_0101_9^3 + 3973282/23435*c_0101_9^2 + 11500196/257785*c_0101_9 + 1476406/257785, c_0101_9^12 + 12*c_0101_9^11 + 74*c_0101_9^10 + 292*c_0101_9^9 + 766*c_0101_9^8 + 1424*c_0101_9^7 + 1992*c_0101_9^6 + 2008*c_0101_9^5 + 1456*c_0101_9^4 + 752*c_0101_9^3 + 272*c_0101_9^2 + 64*c_0101_9 + 8, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 9.090 Total time: 9.310 seconds, Total memory usage: 120.59MB