Magma V2.19-8 Tue Aug 20 2013 23:52:25 on localhost [Seed = 1916016978] Type ? for help. Type -D to quit. Loading file "L13n2665__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2665 geometric_solution 9.59502974 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1023 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 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 0.750297588573 0.458416126384 0 4 6 5 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 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.648927246367 0.163111473079 7 0 8 0 0132 0132 0132 1023 1 1 1 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 -1 0 1 4 0 -5 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 0.750297588573 0.458416126384 5 6 6 0 0132 1023 3120 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 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 0.128281735768 0.905868259922 9 1 10 8 0132 0132 0132 1230 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 1 0 -1 0 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.163527652412 0.634053394904 3 10 1 10 0132 2103 0132 3120 1 1 1 1 0 0 -1 1 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 5 -5 -1 0 0 1 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.410752278327 1.466486625365 3 8 3 1 1023 1230 3120 0132 1 1 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 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.865691752418 0.879006776564 2 11 8 10 0132 0132 3012 3012 1 1 1 1 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 -5 0 5 -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 0.002696165931 0.438127759879 4 7 6 2 3012 1230 3012 0132 1 1 1 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 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113539484400 0.609385929692 4 11 11 11 0132 1023 1230 1302 0 1 1 1 0 0 -1 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 -1 0 1 -1 0 1 0 -4 -1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.339723463409 2.223387110400 5 5 7 4 3120 2103 1230 0132 1 1 1 1 0 -1 1 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 4 -4 0 -1 0 0 1 -4 0 0 4 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.177101796868 0.632296958869 9 7 9 9 1023 0132 2031 3012 1 0 1 1 0 -1 1 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 5 -5 0 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 1.339723463409 2.223387110400 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : negation(d['c_0011_8']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_11' : negation(d['c_0011_8']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : 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' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(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' : negation(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' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_7'], 'c_1100_8' : d['c_0101_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' : negation(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_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_11'], 'c_0110_10' : d['c_0101_10'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_10'], '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_0011_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], '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_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_8'], '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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_7, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 465239764643960792/6364043956907*c_0101_8^8 + 996379905355568868/6364043956907*c_0101_8^7 - 3426633747311241632/6364043956907*c_0101_8^6 + 37486179763714221/69934548977*c_0101_8^5 - 3085569605224078944/6364043956907*c_0101_8^4 + 3184566163279057803/25456175827628*c_0101_8^3 - 3668669026700135749/50912351655256*c_0101_8^2 - 9828106873215381385/50912351655256*c_0101_8 + 637903008847100279/50912351655256, c_0011_0 - 1, c_0011_10 - 452601088/692421277*c_0101_8^8 + 372055904/692421277*c_0101_8^7 - 2173415344/692421277*c_0101_8^6 - 882173336/692421277*c_0101_8^5 + 628789924/692421277*c_0101_8^4 - 2414174702/692421277*c_0101_8^3 - 177260799/692421277*c_0101_8^2 - 1522403102/692421277*c_0101_8 - 1385300219/692421277, c_0011_3 + 1044472800/692421277*c_0101_8^8 - 913407952/692421277*c_0101_8^7 + 4980395080/692421277*c_0101_8^6 + 1754193012/692421277*c_0101_8^5 - 1849170474/692421277*c_0101_8^4 + 5703352041/692421277*c_0101_8^3 - 137766999/692421277*c_0101_8^2 + 3492414413/692421277*c_0101_8 + 3375870161/692421277, c_0011_8 - 1556010784/692421277*c_0101_8^8 + 2473081760/692421277*c_0101_8^7 - 9607719992/692421277*c_0101_8^6 + 5035957680/692421277*c_0101_8^5 - 3991810858/692421277*c_0101_8^4 - 2969655188/692421277*c_0101_8^3 - 152670949/692421277*c_0101_8^2 - 4769662303/692421277*c_0101_8 - 1275748827/692421277, c_0101_0 - 2244640608/692421277*c_0101_8^8 + 3628917120/692421277*c_0101_8^7 - 14093517544/692421277*c_0101_8^6 + 7905419328/692421277*c_0101_8^5 - 6699916410/692421277*c_0101_8^4 - 3782728044/692421277*c_0101_8^3 - 542848767/692421277*c_0101_8^2 - 7302631505/692421277*c_0101_8 - 2773611970/692421277, c_0101_1 + 344562080/692421277*c_0101_8^8 - 1138357760/692421277*c_0101_8^7 + 3290494344/692421277*c_0101_8^6 - 5195274128/692421277*c_0101_8^5 + 4447216050/692421277*c_0101_8^4 - 2271189468/692421277*c_0101_8^3 + 487244890/692421277*c_0101_8^2 + 596902927/692421277*c_0101_8 - 1196328180/692421277, c_0101_10 - 1556010784/692421277*c_0101_8^8 + 2473081760/692421277*c_0101_8^7 - 9607719992/692421277*c_0101_8^6 + 5035957680/692421277*c_0101_8^5 - 3991810858/692421277*c_0101_8^4 - 2969655188/692421277*c_0101_8^3 - 152670949/692421277*c_0101_8^2 - 4769662303/692421277*c_0101_8 - 1968170104/692421277, c_0101_11 - 1, c_0101_2 + 2244640608/692421277*c_0101_8^8 - 3628917120/692421277*c_0101_8^7 + 14093517544/692421277*c_0101_8^6 - 7905419328/692421277*c_0101_8^5 + 6699916410/692421277*c_0101_8^4 + 3782728044/692421277*c_0101_8^3 + 542848767/692421277*c_0101_8^2 + 7302631505/692421277*c_0101_8 + 2773611970/692421277, c_0101_6 - 4138989280/692421277*c_0101_8^8 + 6107995520/692421277*c_0101_8^7 - 24745132056/692421277*c_0101_8^6 + 10477791704/692421277*c_0101_8^5 - 8735454942/692421277*c_0101_8^4 - 9530025232/692421277*c_0101_8^3 - 878806811/692421277*c_0101_8^2 - 13305158883/692421277*c_0101_8 - 6496772015/692421277, c_0101_7 - 344562080/692421277*c_0101_8^8 + 1138357760/692421277*c_0101_8^7 - 3290494344/692421277*c_0101_8^6 + 5195274128/692421277*c_0101_8^5 - 4447216050/692421277*c_0101_8^4 + 2271189468/692421277*c_0101_8^3 - 487244890/692421277*c_0101_8^2 - 596902927/692421277*c_0101_8 + 1196328180/692421277, c_0101_8^9 - 3/2*c_0101_8^8 + 6*c_0101_8^7 - 21/8*c_0101_8^6 + 2*c_0101_8^5 + 79/32*c_0101_8^4 - 1/64*c_0101_8^3 + 207/64*c_0101_8^2 + 97/64*c_0101_8 - 7/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.490 Total time: 0.700 seconds, Total memory usage: 32.09MB