Magma V2.19-8 Tue Aug 20 2013 23:56:22 on localhost [Seed = 829905197] Type ? for help. Type -D to quit. Loading file "K12n96__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n96 geometric_solution 12.06971218 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -12 0 0 12 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.189049845022 0.846369105641 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 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 0 0 0 0 -11 0 11 12 0 0 -12 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522252060343 0.928692220348 3 0 8 4 1023 0132 0132 2031 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 12 -11 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 0.302501129038 2.012750107789 5 2 9 0 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361853604492 0.525812494280 8 2 0 10 1302 1302 0132 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 -12 12 0 11 0 -11 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.251369159672 1.125370353162 3 1 11 12 0132 0132 0132 0132 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 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.418508096678 0.720288974760 11 9 1 8 0132 1023 0132 3012 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 -11 11 0 0 12 -12 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.817657372896 1.396571714264 12 11 10 1 3120 0132 1302 0132 0 0 0 0 0 -1 1 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 12 -12 0 -11 0 11 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 0.321823329956 0.945375918981 12 4 6 2 0321 2031 1230 0132 0 0 0 0 0 0 -1 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 0 12 -12 0 0 0 0 0 0 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361853604492 0.525812494280 6 12 10 3 1023 3120 0132 0132 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 11 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341003323605 0.881098078191 7 11 4 9 2031 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 1 0 12 0 -12 0 0 -12 0 12 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.022521448897 1.135937449455 6 7 10 5 0132 0132 2310 0132 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 0 -12 12 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 0.017446841348 0.879984256469 8 9 5 7 0321 3120 0132 3120 0 0 0 0 0 1 -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 0 0 0 -11 11 0 -11 0 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572249738911 1.274027301898 ==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' : negation(d['c_0101_11']), 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : negation(d['c_1001_1']), 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_1001_1']), 's_3_11' : 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_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_0011_4'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_0011_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_9'], 'c_0110_12' : negation(d['c_0011_8']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : negation(d['c_0011_12']), 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_12']), '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_12'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_11']})} 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_4, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 1004077459018566509625599003/17165430659837684233690472*c_1100_0^16 + 5670971938339342809178070127/8582715329918842116845236*c_1100_0^1\ 5 + 65135785536500641005391347035/17165430659837684233690472*c_1100\ _0^14 + 1008470127416736959478263549/157481015227868662694408*c_110\ 0_0^13 - 50365349544934430258259254719/17165430659837684233690472*c\ _1100_0^12 - 318639004877960599859466462767/17165430659837684233690\ 472*c_1100_0^11 - 38271118437721712668707638701/2145678832479710529\ 211309*c_1100_0^10 - 22750252827115291245966971479/1716543065983768\ 4233690472*c_1100_0^9 + 221835469515084201883493018855/171654306598\ 37684233690472*c_1100_0^8 + 440511506318261567906671222249/17165430\ 659837684233690472*c_1100_0^7 + 698082832023992708208516198405/1716\ 5430659837684233690472*c_1100_0^6 + 742965418743470762206716364627/17165430659837684233690472*c_1100_0^\ 5 + 398739243830477066288606292217/17165430659837684233690472*c_110\ 0_0^4 - 2838249038513658693523063517/553723569672183362377112*c_110\ 0_0^3 - 306935887502528223868503712437/17165430659837684233690472*c\ _1100_0^2 - 238884067241400460663108471159/171654306598376842336904\ 72*c_1100_0 - 46941059387219089767887531691/17165430659837684233690\ 472, c_0011_0 - 1, c_0011_10 - 369372203200633983308/1789556991225780257891*c_1100_0^16 - 14448274348358466148455/7158227964903121031564*c_1100_0^15 - 36863640022248548992219/3579113982451560515782*c_1100_0^14 - 24060450832361777414763/3579113982451560515782*c_1100_0^13 + 38858954258644266504868/1789556991225780257891*c_1100_0^12 + 57755910654903094610747/1789556991225780257891*c_1100_0^11 + 19019999562676219073590/1789556991225780257891*c_1100_0^10 - 91638119336630964274567/7158227964903121031564*c_1100_0^9 - 44197390873845250356182/1789556991225780257891*c_1100_0^8 - 368156694912346208951103/7158227964903121031564*c_1100_0^7 - 456332147572844252286859/7158227964903121031564*c_1100_0^6 - 184513534187114995392253/3579113982451560515782*c_1100_0^5 - 7931385969969644746675/7158227964903121031564*c_1100_0^4 + 4683514231201472140911/230910579513003904244*c_1100_0^3 + 52642384136432992326528/1789556991225780257891*c_1100_0^2 + 34022105019832471515375/7158227964903121031564*c_1100_0 + 6659866298433922510559/7158227964903121031564, c_0011_11 - 423631306729337261395/1789556991225780257891*c_1100_0^16 - 4142024633407081238889/1789556991225780257891*c_1100_0^15 - 21107448924737748586541/1789556991225780257891*c_1100_0^14 - 13544392187553651376014/1789556991225780257891*c_1100_0^13 + 45563148389204680965254/1789556991225780257891*c_1100_0^12 + 65397129884012221019889/1789556991225780257891*c_1100_0^11 + 17443103640187651759219/1789556991225780257891*c_1100_0^10 - 27374163298633997429738/1789556991225780257891*c_1100_0^9 - 46583692512099474122401/1789556991225780257891*c_1100_0^8 - 101590307236609147999332/1789556991225780257891*c_1100_0^7 - 127960239337749537550960/1789556991225780257891*c_1100_0^6 - 102144939461107628347362/1789556991225780257891*c_1100_0^5 - 1604846873722908058061/1789556991225780257891*c_1100_0^4 + 1199794679449723776433/57727644878250976061*c_1100_0^3 + 47448399901055815863733/1789556991225780257891*c_1100_0^2 + 1118238649023613091381/1789556991225780257891*c_1100_0 - 1098332073786676352923/1789556991225780257891, c_0011_12 + 91116876466780385445/1789556991225780257891*c_1100_0^16 + 1003857525844868653377/1789556991225780257891*c_1100_0^15 + 22519814130974715341311/7158227964903121031564*c_1100_0^14 + 33623177058335381897239/7158227964903121031564*c_1100_0^13 - 27492381923962555206559/7158227964903121031564*c_1100_0^12 - 106270897586941148133687/7158227964903121031564*c_1100_0^11 - 81097094249221162629575/7158227964903121031564*c_1100_0^10 + 10610055492956156443023/7158227964903121031564*c_1100_0^9 + 38636766991781453045753/3579113982451560515782*c_1100_0^8 + 68709616597649273472203/3579113982451560515782*c_1100_0^7 + 211650453926172414186279/7158227964903121031564*c_1100_0^6 + 53763187329741501041089/1789556991225780257891*c_1100_0^5 + 23320475806203268215124/1789556991225780257891*c_1100_0^4 - 1709128958423453996285/230910579513003904244*c_1100_0^3 - 22518365218789569091043/1789556991225780257891*c_1100_0^2 - 29498228142986142076209/3579113982451560515782*c_1100_0 - 2449902311794076434935/7158227964903121031564, c_0011_4 - 196926988631037590083/3579113982451560515782*c_1100_0^16 - 3958345008212340553807/7158227964903121031564*c_1100_0^15 - 10373802122393733383089/3579113982451560515782*c_1100_0^14 - 9324800773184871214525/3579113982451560515782*c_1100_0^13 + 17710983288019500884979/3579113982451560515782*c_1100_0^12 + 17711573794838875547694/1789556991225780257891*c_1100_0^11 + 10568632178512610727680/1789556991225780257891*c_1100_0^10 - 10113348902123077804257/7158227964903121031564*c_1100_0^9 - 26302107862445432771969/3579113982451560515782*c_1100_0^8 - 115023983640242660630445/7158227964903121031564*c_1100_0^7 - 150519082780826883953781/7158227964903121031564*c_1100_0^6 - 71013963853896786412779/3579113982451560515782*c_1100_0^5 - 46086975858122252689401/7158227964903121031564*c_1100_0^4 + 726009727515958393893/230910579513003904244*c_1100_0^3 + 31136363578036246537543/3579113982451560515782*c_1100_0^2 + 26984793843878587678347/7158227964903121031564*c_1100_0 + 7314678911121942649679/7158227964903121031564, c_0011_8 - c_1100_0, c_0101_0 - 350949809116670443561/7158227964903121031564*c_1100_0^16 - 3300306398724837771205/7158227964903121031564*c_1100_0^15 - 16237193781948645918787/7158227964903121031564*c_1100_0^14 - 4961551041186129086413/7158227964903121031564*c_1100_0^13 + 40743553730072254490777/7158227964903121031564*c_1100_0^12 + 41114710303977103512963/7158227964903121031564*c_1100_0^11 - 557627100783835825885/1789556991225780257891*c_1100_0^10 - 7137083120701480203630/1789556991225780257891*c_1100_0^9 - 30358983303088322316567/7158227964903121031564*c_1100_0^8 - 35825863952369466387343/3579113982451560515782*c_1100_0^7 - 40979154457619168704071/3579113982451560515782*c_1100_0^6 - 48458545636673826621693/7158227964903121031564*c_1100_0^5 + 8397915531499362335767/1789556991225780257891*c_1100_0^4 + 522339084785460498021/115455289756501952122*c_1100_0^3 + 33334053654866610201441/7158227964903121031564*c_1100_0^2 - 2961671433965316353998/1789556991225780257891*c_1100_0 + 14693235697476819193/3579113982451560515782, c_0101_10 + 350949809116670443561/7158227964903121031564*c_1100_0^16 + 3300306398724837771205/7158227964903121031564*c_1100_0^15 + 16237193781948645918787/7158227964903121031564*c_1100_0^14 + 4961551041186129086413/7158227964903121031564*c_1100_0^13 - 40743553730072254490777/7158227964903121031564*c_1100_0^12 - 41114710303977103512963/7158227964903121031564*c_1100_0^11 + 557627100783835825885/1789556991225780257891*c_1100_0^10 + 7137083120701480203630/1789556991225780257891*c_1100_0^9 + 30358983303088322316567/7158227964903121031564*c_1100_0^8 + 35825863952369466387343/3579113982451560515782*c_1100_0^7 + 40979154457619168704071/3579113982451560515782*c_1100_0^6 + 48458545636673826621693/7158227964903121031564*c_1100_0^5 - 8397915531499362335767/1789556991225780257891*c_1100_0^4 - 522339084785460498021/115455289756501952122*c_1100_0^3 - 33334053654866610201441/7158227964903121031564*c_1100_0^2 + 2961671433965316353998/1789556991225780257891*c_1100_0 - 14693235697476819193/3579113982451560515782, c_0101_11 - 1, c_0101_12 - 560931612815461869685/1789556991225780257891*c_1100_0^16 - 5475298860613673298541/1789556991225780257891*c_1100_0^15 - 27830599188217440920752/1789556991225780257891*c_1100_0^14 - 17192316965893232309799/1789556991225780257891*c_1100_0^13 + 62122270895505300153123/1789556991225780257891*c_1100_0^12 + 87024830129341828184391/1789556991225780257891*c_1100_0^11 + 19319157081947768227065/1789556991225780257891*c_1100_0^10 - 40684577284981746015528/1789556991225780257891*c_1100_0^9 - 63158533924115850888128/1789556991225780257891*c_1100_0^8 - 134955840212117413772498/1789556991225780257891*c_1100_0^7 - 167115411920832173394610/1789556991225780257891*c_1100_0^6 - 125201990510464996260334/1789556991225780257891*c_1100_0^5 + 11849344370439266654168/1789556991225780257891*c_1100_0^4 + 1952221186671667472972/57727644878250976061*c_1100_0^3 + 71128268658917423064186/1789556991225780257891*c_1100_0^2 + 6690288715425705586422/1789556991225780257891*c_1100_0 + 1169007167978919799473/1789556991225780257891, c_0101_9 + 425795467683781196845/7158227964903121031564*c_1100_0^16 + 4006186555738029537869/7158227964903121031564*c_1100_0^15 + 9872553127667521729489/3579113982451560515782*c_1100_0^14 + 1601500074500874676269/1789556991225780257891*c_1100_0^13 - 23885169960382734012861/3579113982451560515782*c_1100_0^12 - 23846966671905492345943/3579113982451560515782*c_1100_0^11 - 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PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.050 Total time: 7.259 seconds, Total memory usage: 102.19MB