Magma V2.19-8 Tue Aug 20 2013 23:52:20 on localhost [Seed = 3398214118] Type ? for help. Type -D to quit. Loading file "K12n258__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n258 geometric_solution 11.55692318 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1023 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 -1 1 0 0 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507891476643 0.891360613690 0 4 6 5 0132 0132 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 3 0 0 -3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891506265767 1.105455842978 7 0 0 8 0132 0132 1023 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 -1 1 0 -4 0 4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507891476643 0.891360613690 6 9 0 10 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 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 1.047304196506 0.691059463620 11 1 7 9 0132 0132 0132 3120 0 0 0 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 -3 0 0 3 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306222672929 0.421100947877 9 11 1 10 3012 0213 0132 2103 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 1 0 0 -1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491056712397 0.875469418910 3 12 7 1 0132 0132 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 -1 1 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 0.581496744975 0.265252379397 2 11 6 4 0132 0132 0321 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 1 -1 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.333989097845 1.229138557329 10 11 2 12 0321 1302 0132 1230 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 1 0 -1 0 0 -1 0 1 1 3 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891506265767 1.105455842978 4 3 12 5 3120 0132 1230 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 0 -1 0 0 0 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 0.622181824245 0.154521947922 8 12 3 5 0321 1230 0132 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 -1 0 0 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 0.761679980318 0.671029869856 4 7 5 8 0132 0132 0213 2031 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 3 0 0 -3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512639139096 0.868880353172 8 6 10 9 3012 0132 3012 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909284328568 1.256232184613 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0101_2'], 'c_1010_12' : negation(d['c_0101_9']), 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_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_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0101_9']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_0110_12']), 'c_1100_3' : negation(d['c_0110_12']), 'c_1100_2' : d['c_0110_12'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0110_12'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0110_12']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : negation(d['c_0101_12']), 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0101_12'], 'c_1100_8' : d['c_0110_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' : negation(d['c_1001_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_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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_2'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_2'], '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_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : negation(d['c_0101_10']), 'c_0110_5' : d['c_0110_12'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_2'], '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_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_2, c_0101_9, c_0110_12, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 162911189738670/150596337989*c_1001_11^11 - 158321423051984/150596337989*c_1001_11^10 + 5824726355969863/451789013967*c_1001_11^9 - 4214752449114035/451789013967*c_1001_11^8 - 4322236196555416/150596337989*c_1001_11^7 + 60617954012125744/451789013967*c_1001_11^6 - 27697103979741768/150596337989*c_1001_11^5 + 72352733076644980/451789013967*c_1001_11^4 - 41186461764101150/451789013967*c_1001_11^3 + 13646906304959258/451789013967*c_1001_11^2 - 776640000806950/150596337989*c_1001_11 + 157666666902710/451789013967, c_0011_0 - 1, c_0011_10 - 2646897226641/8858608117*c_1001_11^11 - 9428099464119/8858608117*c_1001_11^10 + 5490842253449/8858608117*c_1001_11^9 - 9922906881823/8858608117*c_1001_11^8 - 74621059203647/8858608117*c_1001_11^7 + 123516066237927/8858608117*c_1001_11^6 - 174411139061474/8858608117*c_1001_11^5 + 151279749174089/8858608117*c_1001_11^4 - 96602354629155/8858608117*c_1001_11^3 + 46146952770836/8858608117*c_1001_11^2 - 12397188008962/8858608117*c_1001_11 + 1282356195522/8858608117, c_0011_5 + 4398370711110/8858608117*c_1001_11^11 + 15817528001259/8858608117*c_1001_11^10 - 8538636773763/8858608117*c_1001_11^9 + 16366149654313/8858608117*c_1001_11^8 + 124530399978827/8858608117*c_1001_11^7 - 200829722858145/8858608117*c_1001_11^6 + 284207631780350/8858608117*c_1001_11^5 - 243201981574818/8858608117*c_1001_11^4 + 154460212827119/8858608117*c_1001_11^3 - 73050583834176/8858608117*c_1001_11^2 + 19091966329269/8858608117*c_1001_11 - 1892496294343/8858608117, c_0011_8 + 364795661043/8858608117*c_1001_11^11 + 1470403959039/8858608117*c_1001_11^10 - 88327064427/8858608117*c_1001_11^9 + 1244218686300/8858608117*c_1001_11^8 + 10882883815595/8858608117*c_1001_11^7 - 11990538358242/8858608117*c_1001_11^6 + 17800266776458/8858608117*c_1001_11^5 - 11745748246595/8858608117*c_1001_11^4 + 6721437926178/8858608117*c_1001_11^3 - 2427992732121/8858608117*c_1001_11^2 + 106064294501/8858608117*c_1001_11 + 61266675703/8858608117, c_0101_0 + 530444259360/8858608117*c_1001_11^11 + 1845996456987/8858608117*c_1001_11^10 - 1275236157828/8858608117*c_1001_11^9 + 1996876660112/8858608117*c_1001_11^8 + 14793564270477/8858608117*c_1001_11^7 - 26051985806997/8858608117*c_1001_11^6 + 36377313818597/8858608117*c_1001_11^5 - 32523342618784/8858608117*c_1001_11^4 + 20816131419201/8858608117*c_1001_11^3 - 10130735073805/8858608117*c_1001_11^2 + 2812283854167/8858608117*c_1001_11 - 287169691139/8858608117, c_0101_1 - 8531637325470/8858608117*c_1001_11^11 - 30687345912132/8858608117*c_1001_11^10 + 16536239136675/8858608117*c_1001_11^9 - 31754985445650/8858608117*c_1001_11^8 - 241555592326181/8858608117*c_1001_11^7 + 389380458183668/8858608117*c_1001_11^6 - 551202399151152/8858608117*c_1001_11^5 + 471701333683797/8858608117*c_1001_11^4 - 299655734497829/8858608117*c_1001_11^3 + 141761111361361/8858608117*c_1001_11^2 - 37061406256395/8858608117*c_1001_11 + 3691657335378/8858608117, c_0101_10 - 8531637325470/8858608117*c_1001_11^11 - 30687345912132/8858608117*c_1001_11^10 + 16536239136675/8858608117*c_1001_11^9 - 31754985445650/8858608117*c_1001_11^8 - 241555592326181/8858608117*c_1001_11^7 + 389380458183668/8858608117*c_1001_11^6 - 551202399151152/8858608117*c_1001_11^5 + 471701333683797/8858608117*c_1001_11^4 - 299655734497829/8858608117*c_1001_11^3 + 141761111361361/8858608117*c_1001_11^2 - 37061406256395/8858608117*c_1001_11 + 3691657335378/8858608117, c_0101_12 - 5199756255792/8858608117*c_1001_11^11 - 18735251963772/8858608117*c_1001_11^10 + 9963772770578/8858608117*c_1001_11^9 - 19280808815564/8858608117*c_1001_11^8 - 147326503671632/8858608117*c_1001_11^7 + 236409196082888/8858608117*c_1001_11^6 - 334397731755332/8858608117*c_1001_11^5 + 285450793364110/8858608117*c_1001_11^4 - 180849317303294/8858608117*c_1001_11^3 + 85384977577704/8858608117*c_1001_11^2 - 22107349243485/8858608117*c_1001_11 + 2159867111504/8858608117, c_0101_2 - 530444259360/8858608117*c_1001_11^11 - 1845996456987/8858608117*c_1001_11^10 + 1275236157828/8858608117*c_1001_11^9 - 1996876660112/8858608117*c_1001_11^8 - 14793564270477/8858608117*c_1001_11^7 + 26051985806997/8858608117*c_1001_11^6 - 36377313818597/8858608117*c_1001_11^5 + 32523342618784/8858608117*c_1001_11^4 - 20816131419201/8858608117*c_1001_11^3 + 10130735073805/8858608117*c_1001_11^2 - 2812283854167/8858608117*c_1001_11 + 287169691139/8858608117, c_0101_9 - 727466868630/8858608117*c_1001_11^11 - 2472541675089/8858608117*c_1001_11^10 + 1974407293756/8858608117*c_1001_11^9 - 2805019535214/8858608117*c_1001_11^8 - 20088763266002/8858608117*c_1001_11^7 + 37439216192516/8858608117*c_1001_11^6 - 52214081040563/8858608117*c_1001_11^5 + 47885053416535/8858608117*c_1001_11^4 - 31114462827917/8858608117*c_1001_11^3 + 15424211331873/8858608117*c_1001_11^2 - 4524300509024/8858608117*c_1001_11 + 520518521743/8858608117, c_0110_12 - 7821439093170/8858608117*c_1001_11^11 - 28185575665308/8858608117*c_1001_11^10 + 14942618569132/8858608117*c_1001_11^9 - 29121964720466/8858608117*c_1001_11^8 - 221647885722858/8858608117*c_1001_11^7 + 355373167473216/8858608117*c_1001_11^6 - 503732216990764/8858608117*c_1001_11^5 + 429864542660664/8858608117*c_1001_11^4 - 273132018645016/8858608117*c_1001_11^3 + 128986731067806/8858608117*c_1001_11^2 - 33643151445544/8858608117*c_1001_11 + 3362026185605/8858608117, c_1001_10 + 608926199391/8858608117*c_1001_11^11 + 2169845004030/8858608117*c_1001_11^10 - 1275564412522/8858608117*c_1001_11^9 + 2213797557490/8858608117*c_1001_11^8 + 17153612589713/8858608117*c_1001_11^7 - 28449207994144/8858608117*c_1001_11^6 + 39605781620970/8858608117*c_1001_11^5 - 34374880666692/8858608117*c_1001_11^4 + 21509642557535/8858608117*c_1001_11^3 - 10241583171210/8858608117*c_1001_11^2 + 2613403593547/8858608117*c_1001_11 - 224514954479/8858608117, c_1001_11^12 + 10/3*c_1001_11^11 - 26/9*c_1001_11^10 + 38/9*c_1001_11^9 + 82/3*c_1001_11^8 - 478/9*c_1001_11^7 + 689/9*c_1001_11^6 - 650/9*c_1001_11^5 + 446/9*c_1001_11^4 - 232/9*c_1001_11^3 + 26/3*c_1001_11^2 - 14/9*c_1001_11 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.310 Total time: 5.519 seconds, Total memory usage: 123.16MB