Magma V2.19-8 Tue Aug 20 2013 18:02:15 on localhost [Seed = 1191637519] Type ? for help. Type -D to quit. Loading file "11_449__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_449 geometric_solution 12.26192867 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738954102177 1.052003329287 0 0 5 4 0132 1230 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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222193958635 0.895431746604 6 0 8 7 0132 0132 0132 0132 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 0 0 0 0 0 -6 6 7 -1 0 -6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381286842766 0.341790057650 6 8 0 9 3012 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 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 0.963472616978 0.624164601899 9 9 1 10 3012 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 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550306145771 0.971406800949 7 10 11 1 3201 3012 0132 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 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341483035531 1.067899242461 2 7 12 3 0132 2103 0132 1230 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 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650080470471 0.996668266043 11 6 2 5 1302 2103 0132 2310 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 0 0 0 0 0 -6 6 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313651748369 0.989728949159 9 3 12 2 0321 0132 3120 0132 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 1 0 -7 6 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.285584577918 0.632098242173 8 4 3 4 0321 0132 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558507612029 0.779327491684 5 12 4 11 1230 3120 0132 0132 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 -7 0 7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109150425636 1.067290750934 12 7 10 5 0321 2031 0132 0132 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 0 0 0 0 0 0 0 0 6 0 -6 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314851738869 0.743177480697 11 10 8 6 0321 3120 3120 0132 0 0 0 0 0 0 0 0 -1 0 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 0 0 0 -7 0 7 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.360352974190 0.888318084060 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_10']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : negation(d['c_0101_10']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_1001_10'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : 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_0011_5'], '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_1100_9' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0011_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_1']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_5'], '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_0101_8']), '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_0'], '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_0011_5'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0011_5']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_11']), 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_8']), 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0011_3']})} 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_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_1001_10, c_1001_2, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 201743554556522/8154438469227*c_1100_1^10 + 66181554261371/2718146156409*c_1100_1^9 - 2009000922274099/5436292312818*c_1100_1^8 - 6560354139713437/16308876938454*c_1100_1^7 - 22011746754446699/16308876938454*c_1100_1^6 - 1563403963767424/906048718803*c_1100_1^5 + 17434543181669903/16308876938454*c_1100_1^4 + 11020789427034973/5436292312818*c_1100_1^3 + 1394748322403939/2718146156409*c_1100_1^2 - 3744536106903481/8154438469227*c_1100_1 - 6465447220221871/16308876938454, c_0011_0 - 1, c_0011_10 - 145029179/923597063*c_1100_1^10 - 135805774/923597063*c_1100_1^9 - 1970778430/923597063*c_1100_1^8 - 6611203408/923597063*c_1100_1^7 - 13489857869/923597063*c_1100_1^6 - 29203171672/923597063*c_1100_1^5 - 20724303032/923597063*c_1100_1^4 + 6623770352/923597063*c_1100_1^3 + 13274735049/923597063*c_1100_1^2 + 6340544469/923597063*c_1100_1 + 525190779/923597063, c_0011_11 - 570257543/923597063*c_1100_1^10 + 325444381/923597063*c_1100_1^9 - 8653503725/923597063*c_1100_1^8 - 12552460820/923597063*c_1100_1^7 - 40554761404/923597063*c_1100_1^6 - 60218161983/923597063*c_1100_1^5 - 17526947587/923597063*c_1100_1^4 + 20263162924/923597063*c_1100_1^3 + 21940162382/923597063*c_1100_1^2 + 7966557937/923597063*c_1100_1 - 354617510/923597063, c_0011_12 - 429898782/923597063*c_1100_1^10 + 3153515/923597063*c_1100_1^9 - 6228385423/923597063*c_1100_1^8 - 13325303609/923597063*c_1100_1^7 - 33396337867/923597063*c_1100_1^6 - 60728003508/923597063*c_1100_1^5 - 28663961972/923597063*c_1100_1^4 + 18194554245/923597063*c_1100_1^3 + 24298118561/923597063*c_1100_1^2 + 10305493005/923597063*c_1100_1 - 78490062/923597063, c_0011_3 - 330851421/923597063*c_1100_1^10 + 42165453/923597063*c_1100_1^9 - 4917163321/923597063*c_1100_1^8 - 9510050317/923597063*c_1100_1^7 - 26471896112/923597063*c_1100_1^6 - 44777397383/923597063*c_1100_1^5 - 24229025298/923597063*c_1100_1^4 + 9933378299/923597063*c_1100_1^3 + 18763698365/923597063*c_1100_1^2 + 8657866790/923597063*c_1100_1 + 214624287/923597063, c_0011_5 + 614984402/923597063*c_1100_1^10 - 105947610/923597063*c_1100_1^9 + 9028430714/923597063*c_1100_1^8 + 17460010679/923597063*c_1100_1^7 + 46492541761/923597063*c_1100_1^6 + 80548500166/923597063*c_1100_1^5 + 34251513600/923597063*c_1100_1^4 - 24713581882/923597063*c_1100_1^3 - 30935300954/923597063*c_1100_1^2 - 12981997918/923597063*c_1100_1 + 510319644/923597063, c_0101_0 - 429898782/923597063*c_1100_1^10 + 3153515/923597063*c_1100_1^9 - 6228385423/923597063*c_1100_1^8 - 13325303609/923597063*c_1100_1^7 - 33396337867/923597063*c_1100_1^6 - 60728003508/923597063*c_1100_1^5 - 28663961972/923597063*c_1100_1^4 + 18194554245/923597063*c_1100_1^3 + 24298118561/923597063*c_1100_1^2 + 10305493005/923597063*c_1100_1 - 1002087125/923597063, c_0101_1 - 47716504/54329239*c_1100_1^10 + 21621733/54329239*c_1100_1^9 - 714943643/54329239*c_1100_1^8 - 1141501104/54329239*c_1100_1^7 - 3423988937/54329239*c_1100_1^6 - 5349044018/54329239*c_1100_1^5 - 1676469324/54329239*c_1100_1^4 + 1971382086/54329239*c_1100_1^3 + 2003821845/54329239*c_1100_1^2 + 573066728/54329239*c_1100_1 - 82208639/54329239, c_0101_10 + 240923025/923597063*c_1100_1^10 - 42125080/923597063*c_1100_1^9 + 3500538206/923597063*c_1100_1^8 + 6853057948/923597063*c_1100_1^7 + 17653050525/923597063*c_1100_1^6 + 30715586323/923597063*c_1100_1^5 + 10973030921/923597063*c_1100_1^4 - 13250332538/923597063*c_1100_1^3 - 12124808983/923597063*c_1100_1^2 - 1775576439/923597063*c_1100_1 + 1042929353/923597063, c_0101_8 - 138387588/923597063*c_1100_1^10 + 10960871/923597063*c_1100_1^9 - 2080367008/923597063*c_1100_1^8 - 4058933655/923597063*c_1100_1^7 - 11617405077/923597063*c_1100_1^6 - 19775134902/923597063*c_1100_1^5 - 12306981749/923597063*c_1100_1^4 + 1368798813/923597063*c_1100_1^3 + 9420385970/923597063*c_1100_1^2 + 5228336334/923597063*c_1100_1 + 743412626/923597063, c_1001_10 + 471169809/923597063*c_1100_1^10 - 296716771/923597063*c_1100_1^9 + 7143794541/923597063*c_1100_1^8 + 9952998966/923597063*c_1100_1^7 + 32578297402/923597063*c_1100_1^6 + 47148803411/923597063*c_1100_1^5 + 9987528871/923597063*c_1100_1^4 - 20339119471/923597063*c_1100_1^3 - 18177925887/923597063*c_1100_1^2 - 2876789618/923597063*c_1100_1 + 1408985197/923597063, c_1001_2 - 398406284/923597063*c_1100_1^10 + 253377105/923597063*c_1100_1^9 - 6111900034/923597063*c_1100_1^8 - 8345278974/923597063*c_1100_1^7 - 28523549028/923597063*c_1100_1^6 - 41378297749/923597063*c_1100_1^5 - 12868514028/923597063*c_1100_1^4 + 9554574552/923597063*c_1100_1^3 + 13795083464/923597063*c_1100_1^2 + 6501828221/923597063*c_1100_1 + 762856493/923597063, c_1100_1^11 - c_1100_1^10 + 15*c_1100_1^9 + 16*c_1100_1^8 + 55*c_1100_1^7 + 70*c_1100_1^6 - 41*c_1100_1^5 - 76*c_1100_1^4 - 18*c_1100_1^3 + 17*c_1100_1^2 + 14*c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.730 Total time: 2.950 seconds, Total memory usage: 64.12MB