Magma V2.19-8 Wed Aug 21 2013 00:57:36 on localhost [Seed = 2581562154] Type ? for help. Type -D to quit. Loading file "L13n4363__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4363 geometric_solution 12.46574392 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 -1 1 0 -1 0 0 1 0 -7 0 7 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851727730589 0.740231729374 0 2 6 5 0132 0213 0132 0132 1 1 0 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 1 0 -1 1 0 0 -1 -1 1 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619343060903 0.726805057701 7 0 1 8 0132 0132 0213 0132 1 0 0 1 0 0 0 0 -1 0 0 1 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 1 -1 0 -1 0 -1 2 0 2 0 -2 -1 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463083481900 0.493790155462 9 10 11 0 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512777219164 0.510893904795 11 6 0 10 0132 0132 0132 0132 1 1 0 1 0 0 0 0 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 0 0 0 0 0 -1 1 1 0 0 -1 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.436970774996 0.734946959685 9 7 1 10 2103 0213 0132 1230 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 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 0.371167121462 0.961120295826 9 4 8 1 3120 0132 0213 0132 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 -6 0 0 6 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228902134975 1.081081384174 2 12 5 11 0132 0132 0213 1302 1 0 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 0 0 0 0 0 0 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 0.722986840201 0.970167171706 9 6 2 12 1023 0213 0132 0213 1 0 1 0 0 0 0 0 1 0 -1 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 2 0 -2 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 0.650342827987 0.905421264898 3 8 5 6 0132 1023 2103 3120 0 1 1 0 0 -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 -2 0 2 0 0 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633226581542 0.894143387982 5 3 4 12 3012 0132 0132 3012 1 1 1 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 0 0 0 1 0 -1 0 1 6 0 -7 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905254463751 0.832240932483 4 12 7 3 0132 3012 2031 0132 1 1 1 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 1 -1 0 0 0 0 -7 7 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.194120715087 1.347868626198 11 7 10 8 1230 0132 1230 0213 1 1 0 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 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 0 0 0 0 0 0 0 0.993322529467 0.855023661309 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_0'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_5'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_12']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : negation(d['c_0101_12']), '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_10'], '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' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_5'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : negation(d['c_1001_12']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : d['c_0110_10'], 'c_1100_0' : negation(d['c_1001_12']), 'c_1100_3' : negation(d['c_1001_12']), 'c_1100_2' : d['c_1001_5'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_12']), 'c_1100_10' : negation(d['c_1001_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0110_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_0110_10'], '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_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_11'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_5'], '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_0101_1'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0110_10, c_1001_0, c_1001_1, c_1001_12, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 54480121147458520/1001644796988277*c_1001_5^12 + 285464182164637924/1001644796988277*c_1001_5^11 - 1049094136288519671/1001644796988277*c_1001_5^10 + 3880901573874435595/2003289593976554*c_1001_5^9 - 2154229670958188847/1001644796988277*c_1001_5^8 - 1117725259542347570/1001644796988277*c_1001_5^7 + 11322680141156375945/2003289593976554*c_1001_5^6 - 17860450663682586185/2003289593976554*c_1001_5^5 + 3231289010641244964/1001644796988277*c_1001_5^4 + 5858247825887836465/2003289593976554*c_1001_5^3 - 17203160778107580399/2003289593976554*c_1001_5^2 + 3689156711252585533/2003289593976554*c_1001_5 - 224924238751680599/1001644796988277, c_0011_0 - 1, c_0011_10 - 684604110/4582739533*c_1001_5^12 + 3193819993/4582739533*c_1001_5^11 - 11174864098/4582739533*c_1001_5^10 + 17000419305/4582739533*c_1001_5^9 - 13576203158/4582739533*c_1001_5^8 - 29288927177/4582739533*c_1001_5^7 + 63270757334/4582739533*c_1001_5^6 - 73327083956/4582739533*c_1001_5^5 - 23112258304/4582739533*c_1001_5^4 + 58470743564/4582739533*c_1001_5^3 - 90502923194/4582739533*c_1001_5^2 - 39307347026/4582739533*c_1001_5 + 5678026168/4582739533, c_0011_11 - 1001516421/4582739533*c_1001_5^12 + 4925594154/4582739533*c_1001_5^11 - 17675525179/4582739533*c_1001_5^10 + 29791945499/4582739533*c_1001_5^9 - 29113075435/4582739533*c_1001_5^8 - 32349324166/4582739533*c_1001_5^7 + 97654289083/4582739533*c_1001_5^6 - 135115798709/4582739533*c_1001_5^5 + 11596960533/4582739533*c_1001_5^4 + 67861835397/4582739533*c_1001_5^3 - 143357022978/4582739533*c_1001_5^2 - 16684893667/4582739533*c_1001_5 + 856707202/4582739533, c_0011_5 + 150003722/4582739533*c_1001_5^12 - 411951695/4582739533*c_1001_5^11 + 918322050/4582739533*c_1001_5^10 + 1928802788/4582739533*c_1001_5^9 - 7418732334/4582739533*c_1001_5^8 + 17474754297/4582739533*c_1001_5^7 - 6137677262/4582739533*c_1001_5^6 - 16210672132/4582739533*c_1001_5^5 + 51494215659/4582739533*c_1001_5^4 - 22440012750/4582739533*c_1001_5^3 - 3231284081/4582739533*c_1001_5^2 + 55568642845/4582739533*c_1001_5 - 815929709/4582739533, c_0101_0 - 890294079/4582739533*c_1001_5^12 + 4442989869/4582739533*c_1001_5^11 - 16041086080/4582739533*c_1001_5^10 + 27764002066/4582739533*c_1001_5^9 - 28468950511/4582739533*c_1001_5^8 - 24569535024/4582739533*c_1001_5^7 + 84146250993/4582739533*c_1001_5^6 - 120564332511/4582739533*c_1001_5^5 + 18084846169/4582739533*c_1001_5^4 + 50512705267/4582739533*c_1001_5^3 - 119878552190/4582739533*c_1001_5^2 - 12327792350/4582739533*c_1001_5 - 27035664/4582739533, c_0101_1 - 1, c_0101_10 + 284022847/4582739533*c_1001_5^12 - 1471134561/4582739533*c_1001_5^11 + 5340679108/4582739533*c_1001_5^10 - 9658485451/4582739533*c_1001_5^9 + 10242131013/4582739533*c_1001_5^8 + 6720494123/4582739533*c_1001_5^7 - 28579264552/4582739533*c_1001_5^6 + 41479890372/4582739533*c_1001_5^5 - 9346019897/4582739533*c_1001_5^4 - 19918870929/4582739533*c_1001_5^3 + 38244619162/4582739533*c_1001_5^2 - 2284965516/4582739533*c_1001_5 - 6559015296/4582739533, c_0101_12 + 47279626/4582739533*c_1001_5^12 + 20995609/4582739533*c_1001_5^11 - 602816050/4582739533*c_1001_5^10 + 4067914482/4582739533*c_1001_5^9 - 9999603293/4582739533*c_1001_5^8 + 17091815805/4582739533*c_1001_5^7 - 9478139334/4582739533*c_1001_5^6 - 8962448934/4582739533*c_1001_5^5 + 35377869880/4582739533*c_1001_5^4 - 28901090595/4582739533*c_1001_5^3 + 18335968259/4582739533*c_1001_5^2 + 9159177789/4582739533*c_1001_5 + 4652388902/4582739533, c_0110_10 - 445447055/4582739533*c_1001_5^12 + 2629662069/4582739533*c_1001_5^11 - 10269467831/4582739533*c_1001_5^10 + 22652729723/4582739533*c_1001_5^9 - 33098487791/4582739533*c_1001_5^8 + 16212564172/4582739533*c_1001_5^7 + 27315560393/4582739533*c_1001_5^6 - 78290545306/4582739533*c_1001_5^5 + 73196512753/4582739533*c_1001_5^4 - 34135518437/4582739533*c_1001_5^3 - 21739570984/4582739533*c_1001_5^2 + 10232093541/4582739533*c_1001_5 + 2480592540/4582739533, c_1001_0 - 710210098/4582739533*c_1001_5^12 + 3611457166/4582739533*c_1001_5^11 - 13085421618/4582739533*c_1001_5^10 + 23134286073/4582739533*c_1001_5^9 - 24195258782/4582739533*c_1001_5^8 - 18100680372/4582739533*c_1001_5^7 + 69161933297/4582739533*c_1001_5^6 - 100607841826/4582739533*c_1001_5^5 + 21559401082/4582739533*c_1001_5^4 + 44244874658/4582739533*c_1001_5^3 - 100428624474/4582739533*c_1001_5^2 - 2256404248/4582739533*c_1001_5 + 4806855341/4582739533, c_1001_1 - 331302473/4582739533*c_1001_5^12 + 1450138952/4582739533*c_1001_5^11 - 4737863058/4582739533*c_1001_5^10 + 5590570969/4582739533*c_1001_5^9 - 242527720/4582739533*c_1001_5^8 - 23812309928/4582739533*c_1001_5^7 + 38057403886/4582739533*c_1001_5^6 - 32517441438/4582739533*c_1001_5^5 - 26031849983/4582739533*c_1001_5^4 + 48819961524/4582739533*c_1001_5^3 - 56580587421/4582739533*c_1001_5^2 - 11456951806/4582739533*c_1001_5 + 1906626394/4582739533, c_1001_12 - 264763043/4582739533*c_1001_5^12 + 981795097/4582739533*c_1001_5^11 - 2815953787/4582739533*c_1001_5^10 + 481556350/4582739533*c_1001_5^9 + 8903229009/4582739533*c_1001_5^8 - 34313244544/4582739533*c_1001_5^7 + 41846372904/4582739533*c_1001_5^6 - 22317296520/4582739533*c_1001_5^5 - 51637111671/4582739533*c_1001_5^4 + 78380393095/4582739533*c_1001_5^3 - 78689053490/4582739533*c_1001_5^2 - 7905758256/4582739533*c_1001_5 + 2326262801/4582739533, c_1001_5^13 - 5*c_1001_5^12 + 18*c_1001_5^11 - 31*c_1001_5^10 + 31*c_1001_5^9 + 30*c_1001_5^8 - 99*c_1001_5^7 + 139*c_1001_5^6 - 20*c_1001_5^5 - 68*c_1001_5^4 + 145*c_1001_5^3 + 4*c_1001_5^2 - 4*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.340 seconds, Total memory usage: 32.09MB