Magma V2.19-8 Tue Aug 20 2013 23:52:37 on localhost [Seed = 593840376] Type ? for help. Type -D to quit. Loading file "L13n3046__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3046 geometric_solution 10.52718003 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 0 1 -1 0 0 -1 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378621234905 1.724591423611 0 4 2 5 0132 2031 1302 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 -8 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 0.255564713886 0.794770557288 1 0 6 5 2031 0132 0132 2031 0 1 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 0 0 0 0 0 0 0 -7 0 -1 8 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.017923320434 0.884708735325 5 7 8 0 0132 0132 0132 0132 0 1 1 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 1 0 -1 -1 0 0 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 0.355187506881 0.417665037293 1 9 0 9 1302 0132 0132 1230 0 1 1 1 0 -2 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 1 0 1 0 -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 0.047048767249 0.798987482973 3 2 1 10 0132 1302 0132 0132 1 1 0 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 -8 8 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 1.659585831966 0.747734998860 7 8 10 2 2310 3012 3012 0132 0 1 1 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 -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 0.130591708004 1.138415128047 10 3 6 11 3120 0132 3201 0132 0 1 0 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 -1 1 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 1.700570332439 1.399436688109 6 11 9 3 1230 0132 1230 0132 0 1 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.818413672065 1.389427522536 4 4 11 8 3012 0132 3201 3012 0 0 1 1 0 2 -1 -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 1 -1 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 0.616199838715 0.516643392886 11 6 5 7 3120 1230 0132 3120 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 -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 0.520406682274 0.981656613764 9 8 7 10 2310 0132 0132 3120 0 1 0 0 0 0 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 -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 0.146200097911 0.683291613983 ==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_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0011_3'], '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_0011_6'], '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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_0110_9'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : negation(d['c_1001_10']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0110_9'], 'c_1100_3' : d['c_0110_9'], 'c_1100_2' : negation(d['c_1001_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_6']), 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_1001_10'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : d['c_0110_9'], '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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_11'], 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_2']})} 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_4, c_0011_6, c_0101_0, c_0101_11, c_0101_2, c_0101_8, c_0110_9, c_1001_10, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 5499870383/3852830241*c_1001_11^11 - 207390811/17433621*c_1001_11^10 - 157619332652/3852830241*c_1001_11^9 - 257073541117/3852830241*c_1001_11^8 - 112408129280/3852830241*c_1001_11^7 + 249495184130/3852830241*c_1001_11^6 + 335612280727/3852830241*c_1001_11^5 + 1671707282/1284276747*c_1001_11^4 - 158233006019/3852830241*c_1001_11^3 + 4612569797/3852830241*c_1001_11^2 - 4756615711/3852830241*c_1001_11 - 41671071694/3852830241, c_0011_0 - 1, c_0011_10 - 1225/12886*c_1001_11^11 - 1217/1516*c_1001_11^10 - 72387/25772*c_1001_11^9 - 30757/6443*c_1001_11^8 - 68857/25772*c_1001_11^7 + 91849/25772*c_1001_11^6 + 154167/25772*c_1001_11^5 + 11243/12886*c_1001_11^4 - 19194/6443*c_1001_11^3 - 24853/25772*c_1001_11^2 + 17177/25772*c_1001_11 - 4851/12886, c_0011_3 + 1, c_0011_4 - 6520/19329*c_1001_11^11 - 3446/1137*c_1001_11^10 - 220435/19329*c_1001_11^9 - 411506/19329*c_1001_11^8 - 280336/19329*c_1001_11^7 + 296080/19329*c_1001_11^6 + 643457/19329*c_1001_11^5 + 71894/6443*c_1001_11^4 - 281266/19329*c_1001_11^3 - 166808/19329*c_1001_11^2 - 6437/19329*c_1001_11 - 36128/19329, c_0011_6 - 1520/6443*c_1001_11^11 - 1623/758*c_1001_11^10 - 52457/6443*c_1001_11^9 - 197125/12886*c_1001_11^8 - 131697/12886*c_1001_11^7 + 77207/6443*c_1001_11^6 + 160918/6443*c_1001_11^5 + 93567/12886*c_1001_11^4 - 76718/6443*c_1001_11^3 - 73467/12886*c_1001_11^2 + 2294/6443*c_1001_11 - 26213/12886, c_0101_0 - c_1001_11 - 2, c_0101_11 - 1641/6443*c_1001_11^11 - 1733/758*c_1001_11^10 - 55535/6443*c_1001_11^9 - 209193/12886*c_1001_11^8 - 149391/12886*c_1001_11^7 + 66614/6443*c_1001_11^6 + 156832/6443*c_1001_11^5 + 123443/12886*c_1001_11^4 - 53891/6443*c_1001_11^3 - 65713/12886*c_1001_11^2 - 5060/6443*c_1001_11 - 25625/12886, c_0101_2 + 98/19329*c_1001_11^11 + 79/1137*c_1001_11^10 + 7019/19329*c_1001_11^9 + 18838/19329*c_1001_11^8 + 28784/19329*c_1001_11^7 + 26737/19329*c_1001_11^6 + 18059/19329*c_1001_11^5 - 128/6443*c_1001_11^4 - 43834/19329*c_1001_11^3 - 62405/19329*c_1001_11^2 - 9965/19329*c_1001_11 + 22552/19329, c_0101_8 - 3887/12886*c_1001_11^11 - 1004/379*c_1001_11^10 - 63230/6443*c_1001_11^9 - 116460/6443*c_1001_11^8 - 77484/6443*c_1001_11^7 + 170465/12886*c_1001_11^6 + 178832/6443*c_1001_11^5 + 107931/12886*c_1001_11^4 - 161165/12886*c_1001_11^3 - 36050/6443*c_1001_11^2 + 8770/6443*c_1001_11 - 24155/12886, c_0110_9 + 1520/6443*c_1001_11^11 + 1623/758*c_1001_11^10 + 52457/6443*c_1001_11^9 + 197125/12886*c_1001_11^8 + 131697/12886*c_1001_11^7 - 77207/6443*c_1001_11^6 - 160918/6443*c_1001_11^5 - 93567/12886*c_1001_11^4 + 76718/6443*c_1001_11^3 + 60581/12886*c_1001_11^2 - 15180/6443*c_1001_11 + 26213/12886, c_1001_10 - 539/6443*c_1001_11^11 - 245/379*c_1001_11^10 - 25665/12886*c_1001_11^9 - 33257/12886*c_1001_11^8 + 2763/6443*c_1001_11^7 + 66701/12886*c_1001_11^6 + 59071/12886*c_1001_11^5 - 15105/12886*c_1001_11^4 - 23076/6443*c_1001_11^3 - 7916/6443*c_1001_11^2 - 6359/12886*c_1001_11 + 3205/12886, c_1001_11^12 + 10*c_1001_11^11 + 43*c_1001_11^10 + 98*c_1001_11^9 + 109*c_1001_11^8 + 2*c_1001_11^7 - 140*c_1001_11^6 - 129*c_1001_11^5 + 10*c_1001_11^4 + 62*c_1001_11^3 + 17*c_1001_11^2 + 5*c_1001_11 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB