Magma V2.19-8 Tue Aug 20 2013 17:58:13 on localhost [Seed = 3515901319] Type ? for help. Type -D to quit. Loading file "10^2_167__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_167 geometric_solution 11.98386338 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 1 1 1 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 0 -1 -1 2 0 0 0 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 -0.094266807212 0.802634968258 0 4 5 4 0132 0132 0132 1230 1 1 0 1 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286915459847 0.736710250844 0 0 6 3 2031 0132 0132 0321 1 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 0 0 0 0 1 -1 0 1 0 0 -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 1.144335462271 1.228944658298 7 2 0 6 0132 0321 0132 1230 1 1 0 1 0 0 -1 1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 1 0 0 -1 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.409519941076 0.851251741686 1 1 8 9 3012 0132 0132 0132 1 1 1 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 -1 0 1 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 0.678332510749 0.700806827257 10 11 12 1 0132 0132 0132 0132 1 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 0 0 0 0 -1 0 1 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 0.144489781432 1.120857076114 3 10 7 2 3012 0132 0213 0132 1 1 1 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 -1 0 1 -2 0 2 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 0.311553450513 0.366809413250 3 6 11 10 0132 0213 1302 0132 1 1 1 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 0 0 0 -1 0 0 1 0 -2 0 2 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722418683059 0.458280018268 12 12 9 4 0321 3120 1230 0132 1 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 0 0 0 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 0.119119400624 0.821876692774 12 11 4 8 2031 0213 0132 3012 1 1 1 1 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.690427187514 0.498311080015 5 6 7 11 0132 0132 0132 1023 1 1 0 1 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 1 0 -1 0 0 -1 1 1 1 0 -2 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748650281072 1.209452700831 7 5 9 10 2031 0132 0213 1023 1 1 0 1 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 -2 0 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.404127569820 0.485235344878 8 8 9 5 0321 3120 1302 0132 1 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 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 0.119119400624 0.821876692774 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : negation(d['c_0011_12']), 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : d['c_0110_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0110_9']), 'c_1010_12' : negation(d['c_0011_8']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : d['c_0110_11'], 's_0_10' : 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_0011_9'], 'c_0101_10' : d['c_0101_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_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_1100_9' : d['c_0110_9'], 'c_1100_8' : d['c_0110_9'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1001_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : d['c_0011_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : negation(d['c_0011_12']), 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_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' : d['c_0101_9'], '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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : negation(d['c_0011_8']), 'c_0101_12' : negation(d['c_0011_9']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} 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_12, c_0011_3, c_0011_8, c_0011_9, c_0101_1, c_0101_2, c_0101_9, c_0110_11, c_0110_9, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 679772126775463/85779005647*c_1001_10^15 - 35964184796568817/171558011294*c_1001_10^14 - 305813285033704035/171558011294*c_1001_10^13 - 949899879900355683/171558011294*c_1001_10^12 - 850292925680204928/85779005647*c_1001_10^11 - 2156112727727520071/171558011294*c_1001_10^10 - 2071597266738361785/171558011294*c_1001_10^9 - 1359474806356070797/171558011294*c_1001_10^8 - 348723833036161261/171558011294*c_1001_10^7 + 152664441611578485/85779005647*c_1001_10^6 + 349134465294742779/171558011294*c_1001_10^5 + 103329952609073227/171558011294*c_1001_10^4 - 46311380681675937/171558011294*c_1001_10^3 - 34005702134191325/171558011294*c_1001_10^2 + 575379235076608/85779005647*c_1001_10 + 3381267342771117/171558011294, c_0011_0 - 1, c_0011_10 - 70797843736/85779005647*c_1001_10^15 - 3582874073951/171558011294*c_1001_10^14 - 27697462693115/171558011294*c_1001_10^13 - 66207142548821/171558011294*c_1001_10^12 - 93758809787829/171558011294*c_1001_10^11 - 48046350226033/85779005647*c_1001_10^10 - 69576548755683/171558011294*c_1001_10^9 - 8747248138949/85779005647*c_1001_10^8 + 12395391936084/85779005647*c_1001_10^7 + 28677812072361/171558011294*c_1001_10^6 + 8538410438543/171558011294*c_1001_10^5 - 3042741875752/85779005647*c_1001_10^4 - 2342897784989/85779005647*c_1001_10^3 + 216156417951/171558011294*c_1001_10^2 + 493418394249/85779005647*c_1001_10 + 32032342565/171558011294, c_0011_12 - 367982588062/85779005647*c_1001_10^15 - 9463672126143/85779005647*c_1001_10^14 - 151673301856923/171558011294*c_1001_10^13 - 403809039413739/171558011294*c_1001_10^12 - 316000478074775/85779005647*c_1001_10^11 - 718949762296739/171558011294*c_1001_10^10 - 304456485729404/85779005647*c_1001_10^9 - 294404434330063/171558011294*c_1001_10^8 + 37285017086591/171558011294*c_1001_10^7 + 82140267106100/85779005647*c_1001_10^6 + 99138913847385/171558011294*c_1001_10^5 + 896760881483/85779005647*c_1001_10^4 - 23719884677625/171558011294*c_1001_10^3 - 5683766872781/171558011294*c_1001_10^2 + 1009654888217/85779005647*c_1001_10 + 410917040003/171558011294, c_0011_3 + 1037447447327/171558011294*c_1001_10^15 + 13017399991748/85779005647*c_1001_10^14 + 98701962517788/85779005647*c_1001_10^13 + 441456727025405/171558011294*c_1001_10^12 + 288900591218511/85779005647*c_1001_10^11 + 278513574920534/85779005647*c_1001_10^10 + 183664832019403/85779005647*c_1001_10^9 + 15099511566272/85779005647*c_1001_10^8 - 195234183963015/171558011294*c_1001_10^7 - 79048989819750/85779005647*c_1001_10^6 - 9236691042700/85779005647*c_1001_10^5 + 25058639323732/85779005647*c_1001_10^4 + 10327843204847/85779005647*c_1001_10^3 - 8649098643753/171558011294*c_1001_10^2 - 1666769525269/85779005647*c_1001_10 + 1179043134799/171558011294, c_0011_8 + 68727824993/85779005647*c_1001_10^15 + 3560827336307/171558011294*c_1001_10^14 + 29035232331181/171558011294*c_1001_10^13 + 81812488270455/171558011294*c_1001_10^12 + 139843058428693/171558011294*c_1001_10^11 + 84835019469982/85779005647*c_1001_10^10 + 152584891608215/171558011294*c_1001_10^9 + 43100940258397/85779005647*c_1001_10^8 + 2631472980561/85779005647*c_1001_10^7 - 39774093338029/171558011294*c_1001_10^6 - 33501821056897/171558011294*c_1001_10^5 - 3506813924460/85779005647*c_1001_10^4 + 3246189442867/85779005647*c_1001_10^3 + 4614791375391/171558011294*c_1001_10^2 + 32582512651/85779005647*c_1001_10 - 611092890883/171558011294, c_0011_9 - 70797843736/85779005647*c_1001_10^15 - 3582874073951/171558011294*c_1001_10^14 - 27697462693115/171558011294*c_1001_10^13 - 66207142548821/171558011294*c_1001_10^12 - 93758809787829/171558011294*c_1001_10^11 - 48046350226033/85779005647*c_1001_10^10 - 69576548755683/171558011294*c_1001_10^9 - 8747248138949/85779005647*c_1001_10^8 + 12395391936084/85779005647*c_1001_10^7 + 28677812072361/171558011294*c_1001_10^6 + 8538410438543/171558011294*c_1001_10^5 - 3042741875752/85779005647*c_1001_10^4 - 2342897784989/85779005647*c_1001_10^3 + 216156417951/171558011294*c_1001_10^2 + 407639388602/85779005647*c_1001_10 + 32032342565/171558011294, c_0101_1 - 1, c_0101_2 + 1037447447327/171558011294*c_1001_10^15 + 13017399991748/85779005647*c_1001_10^14 + 98701962517788/85779005647*c_1001_10^13 + 441456727025405/171558011294*c_1001_10^12 + 288900591218511/85779005647*c_1001_10^11 + 278513574920534/85779005647*c_1001_10^10 + 183664832019403/85779005647*c_1001_10^9 + 15099511566272/85779005647*c_1001_10^8 - 195234183963015/171558011294*c_1001_10^7 - 79048989819750/85779005647*c_1001_10^6 - 9236691042700/85779005647*c_1001_10^5 + 25058639323732/85779005647*c_1001_10^4 + 10327843204847/85779005647*c_1001_10^3 - 8649098643753/171558011294*c_1001_10^2 - 1752548530916/85779005647*c_1001_10 + 1179043134799/171558011294, c_0101_9 - 166526674439/85779005647*c_1001_10^15 - 4246089537494/85779005647*c_1001_10^14 - 33427711283055/85779005647*c_1001_10^13 - 85078550698712/85779005647*c_1001_10^12 - 132438378275949/85779005647*c_1001_10^11 - 152965009349798/85779005647*c_1001_10^10 - 132632949393994/85779005647*c_1001_10^9 - 68732837530400/85779005647*c_1001_10^8 - 1756171584182/85779005647*c_1001_10^7 + 26875253731563/85779005647*c_1001_10^6 + 19123587309643/85779005647*c_1001_10^5 + 2679324714558/85779005647*c_1001_10^4 - 2606833105917/85779005647*c_1001_10^3 - 815838984195/85779005647*c_1001_10^2 + 90659053524/85779005647*c_1001_10 - 19948293227/85779005647, c_0110_11 - 1, c_0110_9 + 404648170602/85779005647*c_1001_10^15 + 10185890192784/85779005647*c_1001_10^14 + 77799321713487/85779005647*c_1001_10^13 + 178640145568458/85779005647*c_1001_10^12 + 242753081308964/85779005647*c_1001_10^11 + 245607554374356/85779005647*c_1001_10^10 + 177916267163916/85779005647*c_1001_10^9 + 44267495157003/85779005647*c_1001_10^8 - 55615228713209/85779005647*c_1001_10^7 - 55915519075858/85779005647*c_1001_10^6 - 9775312675315/85779005647*c_1001_10^5 + 16131761506427/85779005647*c_1001_10^4 + 6987803402928/85779005647*c_1001_10^3 - 3432847560598/85779005647*c_1001_10^2 - 1332276924684/85779005647*c_1001_10 + 481869127453/85779005647, c_1001_1 + 201455913623/85779005647*c_1001_10^15 + 5217582588649/85779005647*c_1001_10^14 + 84817879290813/171558011294*c_1001_10^13 + 233651938016315/171558011294*c_1001_10^12 + 183562099798826/85779005647*c_1001_10^11 + 413019743597143/171558011294*c_1001_10^10 + 171823536335410/85779005647*c_1001_10^9 + 156938759269263/171558011294*c_1001_10^8 - 40797360254955/171558011294*c_1001_10^7 - 55265013374537/85779005647*c_1001_10^6 - 60891739228099/171558011294*c_1001_10^5 + 1782563833075/85779005647*c_1001_10^4 + 18506218465791/171558011294*c_1001_10^3 + 4052088904391/171558011294*c_1001_10^2 - 918995834693/85779005647*c_1001_10 - 450813626457/171558011294, c_1001_10^16 + 26*c_1001_10^15 + 213*c_1001_10^14 + 598*c_1001_10^13 + 944*c_1001_10^12 + 1044*c_1001_10^11 + 843*c_1001_10^10 + 352*c_1001_10^9 - 161*c_1001_10^8 - 324*c_1001_10^7 - 157*c_1001_10^6 + 32*c_1001_10^5 + 64*c_1001_10^4 + 10*c_1001_10^3 - 11*c_1001_10^2 - 2*c_1001_10 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.320 seconds, Total memory usage: 32.09MB