Magma V2.19-8 Wed Aug 21 2013 00:57:26 on localhost [Seed = 3937202223] Type ? for help. Type -D to quit. Loading file "L13n4354__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4354 geometric_solution 11.43782206 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 0 1 1 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 -1 0 1 1 0 -1 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943535437374 1.240681511174 0 0 5 4 0132 1302 0132 0132 0 0 1 1 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 1 0 0 -1 0 1 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611641851053 0.510663146319 6 0 8 7 0132 0132 0132 0132 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 0 0 0 1 0 -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 0.925306819005 0.864268999285 4 6 7 0 0132 3201 3201 0132 1 0 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 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 0.545056846410 0.282036925406 3 9 1 5 0132 0132 0132 1302 0 0 0 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 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 0.755381404313 0.509805357400 10 11 4 1 0132 0132 2031 0132 0 0 1 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 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 0.201684072565 0.697563737074 2 12 3 10 0132 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.221720865475 0.482019878182 3 9 2 8 2310 1302 0132 2310 1 0 0 1 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 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 0.662458880622 1.074528462637 7 12 11 2 3201 2031 1230 0132 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 0 0 0 0 0 0 0 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 0.123584157606 0.613337461914 12 4 10 7 3201 0132 2031 2031 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 0 0 0 0 0 0 0 0 0 0 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 0.942613268316 1.166428601456 5 6 11 9 0132 2310 1023 1302 1 0 0 1 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 -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 0.201684072565 0.697563737074 12 5 10 8 2310 0132 1023 3012 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 0 0 0 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 1.184939226249 1.399438859566 8 6 11 9 1302 0132 3201 2310 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 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 0.824769294020 0.448633377796 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0110_9'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0110_9'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : negation(d['c_0110_9']), 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : 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_1'], '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_1100_9' : d['c_0101_2'], 'c_1100_8' : d['c_0011_8'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_7']), 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0110_9'], 'c_1010_2' : d['c_0110_9'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0011_0']), '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' : negation(d['c_0011_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_10']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0101_9']), 'c_0101_12' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], '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_0101_9'], 'c_0101_8' : d['c_0101_3'], '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_0110_9'], '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_2']})} 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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_6, c_0101_9, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 15448667/15092*c_0110_9^12 - 12495495/7546*c_0110_9^11 - 1892424/343*c_0110_9^10 - 25650880/3773*c_0110_9^9 - 23231903/2156*c_0110_9^8 - 169475373/15092*c_0110_9^7 - 31137049/3773*c_0110_9^6 - 34777955/3773*c_0110_9^5 - 3748737/1078*c_0110_9^4 - 14315758/3773*c_0110_9^3 - 6635063/3773*c_0110_9^2 - 1108211/539*c_0110_9 - 5123695/7546, c_0011_0 - 1, c_0011_10 + 427/1046*c_0110_9^12 + 1163/1046*c_0110_9^11 + 3021/1046*c_0110_9^10 + 2642/523*c_0110_9^9 + 3609/523*c_0110_9^8 + 9267/1046*c_0110_9^7 + 3813/523*c_0110_9^6 + 3650/523*c_0110_9^5 + 2483/523*c_0110_9^4 + 1614/523*c_0110_9^3 + 1510/523*c_0110_9^2 + 572/523*c_0110_9 + 874/523, c_0011_7 + 59/523*c_0110_9^12 + 85/1046*c_0110_9^11 + 219/523*c_0110_9^10 - 1/1046*c_0110_9^9 + 215/1046*c_0110_9^8 - 375/1046*c_0110_9^7 - 274/523*c_0110_9^6 + 68/523*c_0110_9^5 - 230/523*c_0110_9^4 + 435/523*c_0110_9^3 + 127/523*c_0110_9^2 + 125/523*c_0110_9 - 268/523, c_0011_8 - 241/523*c_0110_9^12 - 311/523*c_0110_9^11 - 1258/523*c_0110_9^10 - 1270/523*c_0110_9^9 - 2571/523*c_0110_9^8 - 2412/523*c_0110_9^7 - 2462/523*c_0110_9^6 - 3008/523*c_0110_9^5 - 1578/523*c_0110_9^4 - 2291/523*c_0110_9^3 - 634/523*c_0110_9^2 - 1007/523*c_0110_9 - 297/523, c_0101_0 - 1, c_0101_1 - 255/1046*c_0110_9^12 - 196/523*c_0110_9^11 - 850/523*c_0110_9^10 - 1056/523*c_0110_9^9 - 4591/1046*c_0110_9^8 - 4885/1046*c_0110_9^7 - 2865/523*c_0110_9^6 - 2824/523*c_0110_9^5 - 1462/523*c_0110_9^4 - 1760/523*c_0110_9^3 - 75/523*c_0110_9^2 - 638/523*c_0110_9 - 130/523, c_0101_11 - c_0110_9^2 - 1, c_0101_2 + 75/523*c_0110_9^12 + 23/523*c_0110_9^11 + 477/1046*c_0110_9^10 - 19/1046*c_0110_9^9 + 212/523*c_0110_9^8 + 197/1046*c_0110_9^7 + 24/523*c_0110_9^6 + 769/523*c_0110_9^5 + 337/523*c_0110_9^4 + 943/523*c_0110_9^3 + 321/523*c_0110_9^2 + 283/523*c_0110_9 + 138/523, c_0101_3 + 29731/273529*c_0110_9^12 - 43573/273529*c_0110_9^11 + 173441/547058*c_0110_9^10 - 457535/547058*c_0110_9^9 + 43148/273529*c_0110_9^8 - 849597/547058*c_0110_9^7 - 258283/273529*c_0110_9^6 - 224734/273529*c_0110_9^5 - 682212/273529*c_0110_9^4 - 29736/273529*c_0110_9^3 - 708589/273529*c_0110_9^2 + 22745/273529*c_0110_9 - 286019/273529, c_0101_5 - 103925/547058*c_0110_9^12 - 138911/547058*c_0110_9^11 - 347637/273529*c_0110_9^10 - 771249/547058*c_0110_9^9 - 872456/273529*c_0110_9^8 - 808507/273529*c_0110_9^7 - 885331/273529*c_0110_9^6 - 855567/273529*c_0110_9^5 - 200100/273529*c_0110_9^4 - 454689/273529*c_0110_9^3 + 182141/273529*c_0110_9^2 - 134445/273529*c_0110_9 + 3236/273529, c_0101_6 + 368/523*c_0110_9^12 + 1195/1046*c_0110_9^11 + 4035/1046*c_0110_9^10 + 2408/523*c_0110_9^9 + 7945/1046*c_0110_9^8 + 3963/523*c_0110_9^7 + 3193/523*c_0110_9^6 + 3571/523*c_0110_9^5 + 1535/523*c_0110_9^4 + 2270/523*c_0110_9^3 + 801/523*c_0110_9^2 + 1019/523*c_0110_9 + 447/523, c_0101_9 - 75/523*c_0110_9^12 - 23/523*c_0110_9^11 - 477/1046*c_0110_9^10 + 19/1046*c_0110_9^9 - 212/523*c_0110_9^8 - 197/1046*c_0110_9^7 - 24/523*c_0110_9^6 - 769/523*c_0110_9^5 - 337/523*c_0110_9^4 - 943/523*c_0110_9^3 - 321/523*c_0110_9^2 - 283/523*c_0110_9 - 138/523, c_0110_9^13 + 2*c_0110_9^12 + 7*c_0110_9^11 + 10*c_0110_9^10 + 18*c_0110_9^9 + 20*c_0110_9^8 + 21*c_0110_9^7 + 20*c_0110_9^6 + 12*c_0110_9^5 + 12*c_0110_9^4 + 4*c_0110_9^3 + 6*c_0110_9^2 + 2*c_0110_9 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.070 Total time: 2.279 seconds, Total memory usage: 32.09MB