Magma V2.19-8 Tue Aug 20 2013 23:52:54 on localhost [Seed = 3246893579] Type ? for help. Type -D to quit. Loading file "L13n4430__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4430 geometric_solution 11.21728714 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 2 0132 0132 0321 0213 0 1 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 0 0 0 -1 0 1 0 0 -1 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 0.674447938346 0.528072853162 0 3 5 4 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 -1 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 0 0 0 0.281282909723 0.870211371039 6 0 0 0 0132 0132 0321 0213 0 1 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 0 0 0 1 0 -1 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 0.674447938346 0.528072853162 7 1 8 9 0132 0132 0132 0132 1 1 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 0 0 0 1 -7 6 -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 0.249673292996 1.240578432373 10 7 1 11 0132 1230 0132 0132 1 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 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 0.804714443358 1.532468779038 6 8 9 1 2310 0132 2310 0132 1 1 1 1 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 7 -1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.020382437364 0.631368032347 2 8 5 10 0132 0213 3201 0213 1 1 1 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 0 0 0 0 0 0 0 0 0 7 -7 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 0.900258439753 0.851560017724 3 8 4 10 0132 2031 3012 0321 1 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 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 0.763610818784 0.688559748856 7 5 6 3 1302 0132 0213 0132 1 1 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 0 0 0 0 -7 7 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 0.272137453670 0.800550795524 11 5 3 10 3201 3201 0132 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076611828409 0.608870523152 4 7 9 6 0132 0321 0132 0213 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939175974880 0.907143216925 11 11 4 9 1230 3012 0132 2310 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943116792929 1.328946067433 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0011_5']), 's_0_10' : d['1'], 's_0_11' : 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_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_1100_5' : d['c_0011_9'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_1001_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_1010_6'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : negation(d['c_1001_10']), 'c_1100_8' : d['c_1010_6'], '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'], '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_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_11'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1010_6'], 'c_0110_3' : negation(d['c_0011_11']), 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_0'])})} 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_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_0, c_1001_10, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 906469995808676731/156137577213285668*c_1010_6^12 + 12927160414529082277/78068788606642834*c_1010_6^11 - 47908602557999623317/156137577213285668*c_1010_6^10 + 121741379348175192889/156137577213285668*c_1010_6^9 - 82271568967953416395/156137577213285668*c_1010_6^8 + 42371666197579172189/78068788606642834*c_1010_6^7 - 2068506662236829977/156137577213285668*c_1010_6^6 + 11414785486631106313/39034394303321417*c_1010_6^5 - 11235838381365952020/39034394303321417*c_1010_6^4 + 17882628476084610885/156137577213285668*c_1010_6^3 + 662308759789332041/14194325201207788*c_1010_6^2 - 32059736208037986/5576342043331631*c_1010_6 + 66432426639140383/78068788606642834, c_0011_0 - 1, c_0011_10 + 6435846529043/22040877641627*c_1010_6^12 + 384938970282389/44081755283254*c_1010_6^11 - 163936448965669/44081755283254*c_1010_6^10 + 1023547032432985/44081755283254*c_1010_6^9 + 385768680717584/22040877641627*c_1010_6^8 + 355201162433191/22040877641627*c_1010_6^7 + 829512340305171/44081755283254*c_1010_6^6 + 1394772581645743/44081755283254*c_1010_6^5 + 176924806400285/44081755283254*c_1010_6^4 - 100732834694683/22040877641627*c_1010_6^3 - 18758247322637/44081755283254*c_1010_6^2 + 160665879575477/22040877641627*c_1010_6 + 47358137093407/44081755283254, c_0011_11 - 1083659406345/22040877641627*c_1010_6^12 - 31118487294188/22040877641627*c_1010_6^11 + 52629056289688/22040877641627*c_1010_6^10 - 94572894234784/22040877641627*c_1010_6^9 + 32008922318677/22040877641627*c_1010_6^8 + 40965110345969/22040877641627*c_1010_6^7 + 4108782137257/22040877641627*c_1010_6^6 - 21096155698846/22040877641627*c_1010_6^5 + 140546283702600/22040877641627*c_1010_6^4 + 39970756320842/22040877641627*c_1010_6^3 - 20789541761779/22040877641627*c_1010_6^2 - 14183464950359/22040877641627*c_1010_6 + 23599504805170/22040877641627, c_0011_5 + 1015427269769/22040877641627*c_1010_6^12 + 30491880016111/22040877641627*c_1010_6^11 - 9309327602699/22040877641627*c_1010_6^10 + 75673419663748/22040877641627*c_1010_6^9 + 61668001894805/22040877641627*c_1010_6^8 + 62785882018356/22040877641627*c_1010_6^7 + 28619572323531/22040877641627*c_1010_6^6 + 98699415666044/22040877641627*c_1010_6^5 - 925215563145/22040877641627*c_1010_6^4 - 68688968146204/22040877641627*c_1010_6^3 - 27745286990478/22040877641627*c_1010_6^2 + 24970172759780/22040877641627*c_1010_6 - 7021823438013/22040877641627, c_0011_9 - 2048547479101/22040877641627*c_1010_6^12 - 65648658060766/22040877641627*c_1010_6^11 - 104228728601061/22040877641627*c_1010_6^10 - 82569390402272/22040877641627*c_1010_6^9 - 483762366544848/22040877641627*c_1010_6^8 - 308868641875930/22040877641627*c_1010_6^7 - 314619814637480/22040877641627*c_1010_6^6 - 469832833113172/22040877641627*c_1010_6^5 - 408442870421320/22040877641627*c_1010_6^4 + 78026081147839/22040877641627*c_1010_6^3 + 98413717547077/22040877641627*c_1010_6^2 - 39124243925145/22040877641627*c_1010_6 - 92782995690800/22040877641627, c_0101_0 - 9259539541974/22040877641627*c_1010_6^12 - 274848241779188/22040877641627*c_1010_6^11 + 179383370294673/22040877641627*c_1010_6^10 - 773576816497543/22040877641627*c_1010_6^9 - 410619648690913/22040877641627*c_1010_6^8 - 409012962432003/22040877641627*c_1010_6^7 - 564214516944558/22040877641627*c_1010_6^6 - 934328539865049/22040877641627*c_1010_6^5 + 18771199768094/22040877641627*c_1010_6^4 + 114085084625389/22040877641627*c_1010_6^3 - 106619192352930/22040877641627*c_1010_6^2 - 223039074929188/22040877641627*c_1010_6 + 35958621472136/22040877641627, c_0101_1 - 9259539541974/22040877641627*c_1010_6^12 - 274848241779188/22040877641627*c_1010_6^11 + 179383370294673/22040877641627*c_1010_6^10 - 773576816497543/22040877641627*c_1010_6^9 - 410619648690913/22040877641627*c_1010_6^8 - 409012962432003/22040877641627*c_1010_6^7 - 564214516944558/22040877641627*c_1010_6^6 - 934328539865049/22040877641627*c_1010_6^5 + 18771199768094/22040877641627*c_1010_6^4 + 114085084625389/22040877641627*c_1010_6^3 - 106619192352930/22040877641627*c_1010_6^2 - 223039074929188/22040877641627*c_1010_6 + 57999499113763/22040877641627, c_0101_10 + 109272593633/22040877641627*c_1010_6^12 + 11284606588899/44081755283254*c_1010_6^11 + 139280765693517/44081755283254*c_1010_6^10 - 41142571695995/44081755283254*c_1010_6^9 + 203526865875083/22040877641627*c_1010_6^8 + 144535980044386/22040877641627*c_1010_6^7 + 320746914986687/44081755283254*c_1010_6^6 + 331803448114929/44081755283254*c_1010_6^5 + 521019551485287/44081755283254*c_1010_6^4 + 34720841167628/22040877641627*c_1010_6^3 - 78111593562423/44081755283254*c_1010_6^2 - 8327841041877/22040877641627*c_1010_6 + 103790862611871/44081755283254, c_0101_5 + 4134906948859/22040877641627*c_1010_6^12 + 124249061369840/22040877641627*c_1010_6^11 - 69478026055069/44081755283254*c_1010_6^10 + 328962100550371/22040877641627*c_1010_6^9 + 604017176375439/44081755283254*c_1010_6^8 + 554771976384245/44081755283254*c_1010_6^7 + 682605964079905/44081755283254*c_1010_6^6 + 516186883147426/22040877641627*c_1010_6^5 + 296473764473189/44081755283254*c_1010_6^4 - 1001118747887/22040877641627*c_1010_6^3 + 13062915469109/22040877641627*c_1010_6^2 + 219854514922747/44081755283254*c_1010_6 + 56249224398801/44081755283254, c_1001_0 - 1, c_1001_10 + 6711186734175/22040877641627*c_1010_6^12 + 202822967239735/22040877641627*c_1010_6^11 - 22773267125451/22040877641627*c_1010_6^10 + 486839480381786/22040877641627*c_1010_6^9 + 589486169162213/22040877641627*c_1010_6^8 + 438597187234246/22040877641627*c_1010_6^7 + 534095579449469/22040877641627*c_1010_6^6 + 852140114677236/22040877641627*c_1010_6^5 + 284838749737632/22040877641627*c_1010_6^4 - 111375977927514/22040877641627*c_1010_6^3 - 15403552546167/22040877641627*c_1010_6^2 + 179637499954324/22040877641627*c_1010_6 + 64198180694988/22040877641627, c_1010_6^13 + 30*c_1010_6^12 - 10*c_1010_6^11 + 76*c_1010_6^10 + 70*c_1010_6^9 + 54*c_1010_6^8 + 69*c_1010_6^7 + 113*c_1010_6^6 + 21*c_1010_6^5 - 20*c_1010_6^4 + c_1010_6^3 + 25*c_1010_6^2 + 4*c_1010_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.500 seconds, Total memory usage: 32.09MB