Magma V2.19-8 Wed Aug 21 2013 00:07:46 on localhost [Seed = 745161523] Type ? for help. Type -D to quit. Loading file "K13n2316__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2316 geometric_solution 11.76969651 oriented_manifold CS_known 0.0000000000000006 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -3 0 0 3 1 0 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714191769716 0.634565059865 0 4 2 5 0132 2310 2103 0132 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 0 0 0 0 0 0 0 3 0 0 -3 3 -3 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.081867754514 0.490323977784 1 0 7 6 2103 0132 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 -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 1.120219208604 1.782857189421 8 9 4 0 0132 0132 0213 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778471267591 1.011467692688 7 3 0 1 0132 0213 0132 3201 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 1 -1 0 0 -3 3 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408424871142 0.457512800026 6 10 1 11 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 4 0 -4 -4 0 3 1 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.803467864224 1.093342438001 5 9 2 8 0132 0213 0132 0132 0 0 0 0 0 0 0 0 1 0 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 4 0 0 -4 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.003550620382 0.510876652184 4 9 10 2 0132 0321 1230 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 1 -1 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602652075570 0.925224453796 3 11 6 12 0132 3012 0132 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 0 0 4 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320625600181 0.681888205811 12 3 6 7 0132 0132 0213 0321 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 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316800551332 0.984049147261 12 5 11 7 3012 0132 2310 3012 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 -4 0 4 4 0 -3 -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 -0.194087948555 1.597524549254 8 10 5 12 1230 3201 0132 0321 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 4 -4 1 0 -1 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459149109634 0.350749860285 9 11 8 10 0132 0321 0132 1230 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 4 0 -4 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437716897055 0.788118627585 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_0'], 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_7']), '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_11'], '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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0110_10'], 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0110_10'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_11']), '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' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0110_10']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0110_10, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 451042221794124203207571/11453884492923747112055*c_1001_2^14 - 135339529918882716801569/11453884492923747112055*c_1001_2^13 - 15686541309401377729294/11453884492923747112055*c_1001_2^12 - 5859819841759559184408322/11453884492923747112055*c_1001_2^11 + 8581262826942950777337443/11453884492923747112055*c_1001_2^10 + 1738005987191671170183426/11453884492923747112055*c_1001_2^9 + 9887917616672547552284906/11453884492923747112055*c_1001_2^8 + 7127345938485112837199621/11453884492923747112055*c_1001_2^7 + 1699436100831086104686063/2290776898584749422411*c_1001_2^6 - 8919246994139574859457742/11453884492923747112055*c_1001_2^5 + 11996945387110967956444831/11453884492923747112055*c_1001_2^4 - 5327114376425647582827156/11453884492923747112055*c_1001_2^3 + 9910773608699067318523649/11453884492923747112055*c_1001_2^2 - 2230136533274164349919211/11453884492923747112055*c_1001_2 + 906001813220417042645414/11453884492923747112055, c_0011_0 - 1, c_0011_10 - 43073951374/7526428340173*c_1001_2^14 - 1342013573695/7526428340173*c_1001_2^13 - 166786180043/7526428340173*c_1001_2^12 + 898090292428/7526428340173*c_1001_2^11 + 17020475587073/7526428340173*c_1001_2^10 - 18519817930045/7526428340173*c_1001_2^9 - 18833096715747/7526428340173*c_1001_2^8 - 33851106602367/7526428340173*c_1001_2^7 - 29549119339794/7526428340173*c_1001_2^6 - 27033005289605/7526428340173*c_1001_2^5 + 22292558174249/7526428340173*c_1001_2^4 - 28755104983439/7526428340173*c_1001_2^3 - 1912698942073/7526428340173*c_1001_2^2 - 24094586678628/7526428340173*c_1001_2 - 6148648922004/7526428340173, c_0011_11 - 536663364826/7526428340173*c_1001_2^14 - 69062435625/7526428340173*c_1001_2^13 + 155002948718/7526428340173*c_1001_2^12 + 6984813387438/7526428340173*c_1001_2^11 - 7227815254681/7526428340173*c_1001_2^10 - 7324834845339/7526428340173*c_1001_2^9 - 11686288934018/7526428340173*c_1001_2^8 - 12813525684411/7526428340173*c_1001_2^7 - 12032381145674/7526428340173*c_1001_2^6 + 7276126138592/7526428340173*c_1001_2^5 - 8591470512458/7526428340173*c_1001_2^4 - 365643825455/7526428340173*c_1001_2^3 - 1141858990520/7526428340173*c_1001_2^2 - 3752565039379/7526428340173*c_1001_2 + 4788103445617/7526428340173, c_0011_12 - 626572345897/7526428340173*c_1001_2^14 - 102094439074/7526428340173*c_1001_2^13 + 32282311325/7526428340173*c_1001_2^12 + 8251787977279/7526428340173*c_1001_2^11 - 7872493675854/7526428340173*c_1001_2^10 - 7130116810192/7526428340173*c_1001_2^9 - 17439658237764/7526428340173*c_1001_2^8 - 18921260221897/7526428340173*c_1001_2^7 - 10372743691752/7526428340173*c_1001_2^6 + 8660647246772/7526428340173*c_1001_2^5 - 6893832801905/7526428340173*c_1001_2^4 + 715875736935/7526428340173*c_1001_2^3 - 6003798925311/7526428340173*c_1001_2^2 - 5522530512061/7526428340173*c_1001_2 + 4034178436891/7526428340173, c_0011_4 + 1074867759242/7526428340173*c_1001_2^14 + 105047948972/7526428340173*c_1001_2^13 - 370070959857/7526428340173*c_1001_2^12 - 13981399685653/7526428340173*c_1001_2^11 + 14990620454200/7526428340173*c_1001_2^10 + 14988608125748/7526428340173*c_1001_2^9 + 22086320084820/7526428340173*c_1001_2^8 + 23504286510391/7526428340173*c_1001_2^7 + 22881464387599/7526428340173*c_1001_2^6 - 15637502272215/7526428340173*c_1001_2^5 + 16055911439981/7526428340173*c_1001_2^4 + 954479025313/7526428340173*c_1001_2^3 + 20374099963375/7526428340173*c_1001_2^2 + 6430805866334/7526428340173*c_1001_2 - 3990074108037/7526428340173, c_0101_0 + 1665121110785/7526428340173*c_1001_2^14 - 1231411737550/7526428340173*c_1001_2^13 - 80160671394/7526428340173*c_1001_2^12 - 21140761972511/7526428340173*c_1001_2^11 + 40965580650561/7526428340173*c_1001_2^10 - 4487436184390/7526428340173*c_1001_2^9 + 23970861881943/7526428340173*c_1001_2^8 + 18253864967246/7526428340173*c_1001_2^7 + 16087720791200/7526428340173*c_1001_2^6 - 44602657464310/7526428340173*c_1001_2^5 + 57554389175163/7526428340173*c_1001_2^4 - 35692700887166/7526428340173*c_1001_2^3 + 31812751318733/7526428340173*c_1001_2^2 - 12693006995008/7526428340173*c_1001_2 - 5893145018736/7526428340173, c_0101_1 - 1, c_0101_10 - 446631437874/7526428340173*c_1001_2^14 - 592653933650/7526428340173*c_1001_2^13 - 43380547094/7526428340173*c_1001_2^12 + 6050670730720/7526428340173*c_1001_2^11 + 778387520637/7526428340173*c_1001_2^10 - 12036103275965/7526428340173*c_1001_2^9 - 19722767398854/7526428340173*c_1001_2^8 - 19596708240739/7526428340173*c_1001_2^7 - 26445807301981/7526428340173*c_1001_2^6 - 8371024830736/7526428340173*c_1001_2^5 - 5809376736312/7526428340173*c_1001_2^4 - 8648831849751/7526428340173*c_1001_2^3 - 9057875481448/7526428340173*c_1001_2^2 - 12193813625034/7526428340173*c_1001_2 - 6174758416248/7526428340173, c_0101_11 - 1871233121351/7526428340173*c_1001_2^14 - 156543978308/7526428340173*c_1001_2^13 + 24887277578/7526428340173*c_1001_2^12 + 24461772085400/7526428340173*c_1001_2^11 - 26061132517132/7526428340173*c_1001_2^10 - 17787649587278/7526428340173*c_1001_2^9 - 49449385795709/7526428340173*c_1001_2^8 - 48068670751334/7526428340173*c_1001_2^7 - 45280494269673/7526428340173*c_1001_2^6 + 20715057708921/7526428340173*c_1001_2^5 - 39419260436180/7526428340173*c_1001_2^4 + 5117690177767/7526428340173*c_1001_2^3 - 37959854298674/7526428340173*c_1001_2^2 - 10000678192313/7526428340173*c_1001_2 + 537660847598/7526428340173, c_0101_7 + 3536354232136/7526428340173*c_1001_2^14 - 1074867759242/7526428340173*c_1001_2^13 - 105047948972/7526428340173*c_1001_2^12 - 45602534057911/7526428340173*c_1001_2^11 + 67026713167693/7526428340173*c_1001_2^10 + 13300213402888/7526428340173*c_1001_2^9 + 73420247677652/7526428340173*c_1001_2^8 + 66322535718580/7526428340173*c_1001_2^7 + 61368215060873/7526428340173*c_1001_2^6 - 65317715173231/7526428340173*c_1001_2^5 + 96973649611343/7526428340173*c_1001_2^4 - 40810391064933/7526428340173*c_1001_2^3 + 69772605617407/7526428340173*c_1001_2^2 - 2692328802695/7526428340173*c_1001_2 - 6430805866334/7526428340173, c_0110_10 + 1074867759242/7526428340173*c_1001_2^14 + 105047948972/7526428340173*c_1001_2^13 - 370070959857/7526428340173*c_1001_2^12 - 13981399685653/7526428340173*c_1001_2^11 + 14990620454200/7526428340173*c_1001_2^10 + 14988608125748/7526428340173*c_1001_2^9 + 22086320084820/7526428340173*c_1001_2^8 + 23504286510391/7526428340173*c_1001_2^7 + 22881464387599/7526428340173*c_1001_2^6 - 15637502272215/7526428340173*c_1001_2^5 + 16055911439981/7526428340173*c_1001_2^4 + 954479025313/7526428340173*c_1001_2^3 + 20374099963375/7526428340173*c_1001_2^2 + 6430805866334/7526428340173*c_1001_2 - 3990074108037/7526428340173, c_1001_0 - 1231411737550/7526428340173*c_1001_2^14 - 80160671394/7526428340173*c_1001_2^13 + 505812467694/7526428340173*c_1001_2^12 + 15988763988786/7526428340173*c_1001_2^11 - 17808405070670/7526428340173*c_1001_2^10 - 17657165887682/7526428340173*c_1001_2^9 - 23374162802379/7526428340173*c_1001_2^8 - 23875185867640/7526428340173*c_1001_2^7 - 24621204134890/7526428340173*c_1001_2^6 + 19256603627108/7526428340173*c_1001_2^5 - 24036853111671/7526428340173*c_1001_2^4 - 1489670896967/7526428340173*c_1001_2^3 - 21018612548933/7526428340173*c_1001_2^2 - 5893145018736/7526428340173*c_1001_2 + 5861307229388/7526428340173, c_1001_2^15 - 13*c_1001_2^12 + 15*c_1001_2^11 + 8*c_1001_2^10 + 25*c_1001_2^9 + 25*c_1001_2^8 + 24*c_1001_2^7 - 12*c_1001_2^6 + 23*c_1001_2^5 - 7*c_1001_2^4 + 20*c_1001_2^3 + 5*c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.080 Total time: 5.290 seconds, Total memory usage: 64.12MB