Magma V2.19-8 Tue Aug 20 2013 23:40:15 on localhost [Seed = 4038497357] Type ? for help. Type -D to quit. Loading file "K12n236__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n236 geometric_solution 11.02380772 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732368677364 0.888682271121 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 -3 3 0 1 0 -3 2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264839751743 0.498014633671 4 0 4 0 0213 0132 0321 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.732368677364 0.888682271121 7 8 9 0 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.285152615093 0.565070325938 2 1 2 5 0213 0132 0321 0321 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 3 -1 -2 -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 0.732368677364 0.888682271121 7 4 1 10 2103 0321 0132 0132 0 0 0 0 0 1 0 -1 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 2 0 -2 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598198618337 1.400951672240 7 9 11 1 1302 3120 0132 0132 0 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 0 0 0 0 0 0 0 3 -3 0 0 -3 3 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681495821284 0.961298646632 3 6 5 8 0132 2031 2103 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.067487744428 1.291413166478 11 3 9 7 0321 0132 0321 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 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 0.537989194650 1.153934459404 10 6 8 3 1230 3120 0321 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 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 1.255497032063 0.773455338429 11 9 5 11 1302 3012 0132 3012 0 0 0 0 0 0 1 -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 0 2 -2 2 0 -2 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.649070601226 0.897975720900 8 10 10 6 0321 2031 1230 0132 0 0 0 0 0 1 0 -1 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 3 0 -3 0 0 -3 3 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523418398165 0.753297939776 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_11']), '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_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_1001_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : d['c_1001_2'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1001_2'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_10'], 'c_1100_10' : d['c_0110_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_3'], 'c_0110_10' : d['c_0110_10'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_5']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_5']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0011_6, c_0011_9, c_0101_0, c_0101_11, c_0110_10, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 29 Groebner basis: [ t - 1249964283185486887/1660927570650*c_1001_2^28 - 133898571958209553/166092757065*c_1001_2^27 + 72380775369137953/166092757065*c_1001_2^26 - 29201504300698082543/1660927570650*c_1001_2^25 - 11722800994975972163/553642523550*c_1001_2^24 - 1631993108616739594/830463785325*c_1001_2^23 - 27771338907870349013/1660927570650*c_1001_2^22 + 2955461559064134883/166092757065*c_1001_2^21 + 24414942106029794381/1660927570650*c_1001_2^20 + 11947392856917800821/1660927570650*c_1001_2^19 + 18989900914544398219/184547507850*c_1001_2^18 + 193757097250768088369/1660927570650*c_1001_2^17 + 183155150285738925484/830463785325*c_1001_2^16 + 65311654525356002602/276821261775*c_1001_2^15 + 110531833252054000007/830463785325*c_1001_2^14 + 1733470662046070819/30757917975*c_1001_2^13 - 32260600368892219261/184547507850*c_1001_2^12 - 46224486550173386189/166092757065*c_1001_2^11 - 102714344486613363508/276821261775*c_1001_2^10 - 642330305427211403749/1660927570650*c_1001_2^9 - 99792860584742834447/332185514130*c_1001_2^8 - 206324130337235677909/830463785325*c_1001_2^7 - 223322850486028021991/1660927570650*c_1001_2^6 - 24821390908204989884/276821261775*c_1001_2^5 - 28345000285322758334/830463785325*c_1001_2^4 - 29332070932818226747/1660927570650*c_1001_2^3 - 7239976426210778471/1660927570650*c_1001_2^2 - 1237055933340435956/830463785325*c_1001_2 - 49492468865357632/276821261775, c_0011_0 - 1, c_0011_10 - 124*c_1001_2^28 + 496*c_1001_2^27 + 364*c_1001_2^26 - 3478*c_1001_2^25 + 11692*c_1001_2^24 + 8310*c_1001_2^23 - 7510*c_1001_2^22 + 22912*c_1001_2^21 - 21068*c_1001_2^20 - 492*c_1001_2^19 + 16402*c_1001_2^18 - 69947*c_1001_2^17 - 10331*c_1001_2^16 - 110084*c_1001_2^15 - 102234*c_1001_2^14 - 34976*c_1001_2^13 - 71436*c_1001_2^12 + 98086*c_1001_2^11 + 83432*c_1001_2^10 + 152898*c_1001_2^9 + 169731*c_1001_2^8 + 107472*c_1001_2^7 + 126928*c_1001_2^6 + 42636*c_1001_2^5 + 51353*c_1001_2^4 + 9306*c_1001_2^3 + 11272*c_1001_2^2 + 878*c_1001_2 + 1068, c_0011_11 - 268*c_1001_2^28 - 228*c_1001_2^27 + 116*c_1001_2^26 - 6376*c_1001_2^25 - 6044*c_1001_2^24 - 1434*c_1001_2^23 - 8040*c_1001_2^22 + 8801*c_1001_2^21 + 2059*c_1001_2^20 + 4060*c_1001_2^19 + 37896*c_1001_2^18 + 33094*c_1001_2^17 + 82804*c_1001_2^16 + 78828*c_1001_2^15 + 51048*c_1001_2^14 + 31015*c_1001_2^13 - 62470*c_1001_2^12 - 86876*c_1001_2^11 - 135972*c_1001_2^10 - 139003*c_1001_2^9 - 109922*c_1001_2^8 - 97021*c_1001_2^7 - 47848*c_1001_2^6 - 37643*c_1001_2^5 - 11101*c_1001_2^4 - 7964*c_1001_2^3 - 1036*c_1001_2^2 - 724*c_1001_2 + 19, c_0011_3 + 1285*c_1001_2^28 + 2119*c_1001_2^27 - 145*c_1001_2^26 + 29713*c_1001_2^25 + 53848*c_1001_2^24 + 19220*c_1001_2^23 + 32804*c_1001_2^22 - 7681*c_1001_2^21 - 52414*c_1001_2^20 - 15902*c_1001_2^19 - 186205*c_1001_2^18 - 305654*c_1001_2^17 - 462130*c_1001_2^16 - 633191*c_1001_2^15 - 439878*c_1001_2^14 - 229139*c_1001_2^13 + 213899*c_1001_2^12 + 655708*c_1001_2^11 + 869148*c_1001_2^10 + 1029767*c_1001_2^9 + 888516*c_1001_2^8 + 714294*c_1001_2^7 + 490328*c_1001_2^6 + 276857*c_1001_2^5 + 158923*c_1001_2^4 + 58711*c_1001_2^3 + 28660*c_1001_2^2 + 5366*c_1001_2 + 2237, c_0011_5 - 2*c_1001_2^28 - c_1001_2^27 + c_1001_2^26 - 48*c_1001_2^25 - 28*c_1001_2^24 - 6*c_1001_2^23 - 60*c_1001_2^22 + 90*c_1001_2^21 - 20*c_1001_2^20 + 49*c_1001_2^19 + 266*c_1001_2^18 + 154*c_1001_2^17 + 592*c_1001_2^16 + 389*c_1001_2^15 + 286*c_1001_2^14 + 147*c_1001_2^13 - 538*c_1001_2^12 - 485*c_1001_2^11 - 931*c_1001_2^10 - 768*c_1001_2^9 - 608*c_1001_2^8 - 536*c_1001_2^7 - 150*c_1001_2^6 - 208*c_1001_2^5 + 38*c_1001_2^4 - 44*c_1001_2^3 + 37*c_1001_2^2 - 4*c_1001_2 + 8, c_0011_6 + 361*c_1001_2^28 + 636*c_1001_2^27 + 12*c_1001_2^26 + 8414*c_1001_2^25 + 16128*c_1001_2^24 + 6658*c_1001_2^23 + 11467*c_1001_2^22 + 325*c_1001_2^21 - 16632*c_1001_2^20 - 4034*c_1001_2^19 - 55135*c_1001_2^18 - 92784*c_1001_2^17 - 136789*c_1001_2^16 - 201781*c_1001_2^15 - 147405*c_1001_2^14 - 90439*c_1001_2^13 + 40757*c_1001_2^12 + 192240*c_1001_2^11 + 263542*c_1001_2^10 + 332941*c_1001_2^9 + 296786*c_1001_2^8 + 244325*c_1001_2^7 + 176321*c_1001_2^6 + 99597*c_1001_2^5 + 61261*c_1001_2^4 + 22218*c_1001_2^3 + 11859*c_1001_2^2 + 2143*c_1001_2 + 998, c_0011_9 - c_1001_2^28 - c_1001_2^27 - 24*c_1001_2^25 - 26*c_1001_2^24 - 16*c_1001_2^23 - 38*c_1001_2^22 + 26*c_1001_2^21 + 3*c_1001_2^20 + 26*c_1001_2^19 + 146*c_1001_2^18 + 150*c_1001_2^17 + 371*c_1001_2^16 + 380*c_1001_2^15 + 333*c_1001_2^14 + 240*c_1001_2^13 - 149*c_1001_2^12 - 317*c_1001_2^11 - 624*c_1001_2^10 - 696*c_1001_2^9 - 652*c_1001_2^8 - 594*c_1001_2^7 - 372*c_1001_2^6 - 290*c_1001_2^5 - 126*c_1001_2^4 - 85*c_1001_2^3 - 24*c_1001_2^2 - 13*c_1001_2 - 2, c_0101_0 - 20*c_1001_2^28 - 12*c_1001_2^27 + 10*c_1001_2^26 - 479*c_1001_2^25 - 329*c_1001_2^24 - 64*c_1001_2^23 - 604*c_1001_2^22 + 830*c_1001_2^21 - 88*c_1001_2^20 + 406*c_1001_2^19 + 2732*c_1001_2^18 + 1783*c_1001_2^17 + 5954*c_1001_2^16 + 4478*c_1001_2^15 + 3028*c_1001_2^14 + 1747*c_1001_2^13 - 5186*c_1001_2^12 - 5295*c_1001_2^11 - 9406*c_1001_2^10 - 8443*c_1001_2^9 - 6541*c_1001_2^8 - 5896*c_1001_2^7 - 2080*c_1001_2^6 - 2288*c_1001_2^5 - 50*c_1001_2^4 - 484*c_1001_2^3 + 162*c_1001_2^2 - 44*c_1001_2 + 36, c_0101_11 - 743*c_1001_2^28 + 494*c_1001_2^27 + 1154*c_1001_2^26 - 18583*c_1001_2^25 + 10007*c_1001_2^24 + 18834*c_1001_2^23 - 26643*c_1001_2^22 + 54662*c_1001_2^21 - 29799*c_1001_2^20 - 2411*c_1001_2^19 + 101991*c_1001_2^18 - 64890*c_1001_2^17 + 104703*c_1001_2^16 - 69918*c_1001_2^15 - 136548*c_1001_2^14 - 34224*c_1001_2^13 - 239011*c_1001_2^12 + 25680*c_1001_2^11 - 39944*c_1001_2^10 + 67124*c_1001_2^9 + 156635*c_1001_2^8 + 58534*c_1001_2^7 + 157931*c_1001_2^6 + 26879*c_1001_2^5 + 71248*c_1001_2^4 + 6524*c_1001_2^3 + 16455*c_1001_2^2 + 663*c_1001_2 + 1592, c_0110_10 - 27*c_1001_2^28 - 45*c_1001_2^27 - 11*c_1001_2^26 - 639*c_1001_2^25 - 1133*c_1001_2^24 - 733*c_1001_2^23 - 1084*c_1001_2^22 + 158*c_1001_2^21 + 821*c_1001_2^20 + 634*c_1001_2^19 + 4299*c_1001_2^18 + 6516*c_1001_2^17 + 11646*c_1001_2^16 + 15622*c_1001_2^15 + 13080*c_1001_2^14 + 9222*c_1001_2^13 - 2423*c_1001_2^12 - 13207*c_1001_2^11 - 21658*c_1001_2^10 - 27267*c_1001_2^9 - 25279*c_1001_2^8 - 21971*c_1001_2^7 - 15404*c_1001_2^6 - 9760*c_1001_2^5 - 5482*c_1001_2^4 - 2383*c_1001_2^3 - 1088*c_1001_2^2 - 254*c_1001_2 - 94, c_1001_0 - c_1001_2^28 - c_1001_2^27 - 24*c_1001_2^25 - 26*c_1001_2^24 - 16*c_1001_2^23 - 38*c_1001_2^22 + 26*c_1001_2^21 + 3*c_1001_2^20 + 26*c_1001_2^19 + 146*c_1001_2^18 + 150*c_1001_2^17 + 371*c_1001_2^16 + 380*c_1001_2^15 + 333*c_1001_2^14 + 240*c_1001_2^13 - 149*c_1001_2^12 - 317*c_1001_2^11 - 624*c_1001_2^10 - 696*c_1001_2^9 - 652*c_1001_2^8 - 594*c_1001_2^7 - 372*c_1001_2^6 - 290*c_1001_2^5 - 126*c_1001_2^4 - 85*c_1001_2^3 - 24*c_1001_2^2 - 13*c_1001_2 - 2, c_1001_2^29 + c_1001_2^28 + 24*c_1001_2^26 + 26*c_1001_2^25 + 16*c_1001_2^24 + 38*c_1001_2^23 - 26*c_1001_2^22 - 3*c_1001_2^21 - 26*c_1001_2^20 - 146*c_1001_2^19 - 150*c_1001_2^18 - 371*c_1001_2^17 - 380*c_1001_2^16 - 333*c_1001_2^15 - 240*c_1001_2^14 + 149*c_1001_2^13 + 317*c_1001_2^12 + 624*c_1001_2^11 + 696*c_1001_2^10 + 652*c_1001_2^9 + 594*c_1001_2^8 + 372*c_1001_2^7 + 290*c_1001_2^6 + 126*c_1001_2^5 + 85*c_1001_2^4 + 24*c_1001_2^3 + 14*c_1001_2^2 + 2*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.590 Total time: 2.799 seconds, Total memory usage: 64.12MB