Magma V2.19-8 Tue Aug 20 2013 17:55:50 on localhost [Seed = 4306920] Type ? for help. Type -D to quit. Loading file "10_146__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_146 geometric_solution 10.56101675 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -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 0.210319989907 0.930013463962 0 5 2 6 0132 0132 1023 0132 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 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277592866504 0.537435149521 7 0 1 5 0132 0132 1023 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 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 0.803239284583 1.288939647070 8 9 7 0 0132 0132 1023 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 -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 0.055881462600 0.575824637510 6 6 0 8 0132 1302 0132 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 1 -1 0 -1 0 0 1 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.768665475803 1.022937583239 10 1 2 8 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.777660768818 0.820633201629 4 9 1 4 0132 0213 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210319989907 0.930013463962 2 10 3 8 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.334237961011 0.897412177608 3 5 4 7 0132 0321 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.367025046975 1.433190212638 10 3 6 10 2031 0132 0213 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413120128981 1.175989093336 5 7 9 9 0132 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734091667023 0.756935519409 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_3'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : d['c_0101_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_4'], 'c_0011_10' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1001_8'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1001_8']), 'c_1100_1' : negation(d['c_1001_8']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_8'], 'c_1100_10' : negation(d['c_0011_4']), 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_1001_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_5'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], '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' : negation(d['c_0011_4']), 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], '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_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_0'], '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 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 720016222/709478301*c_1100_0^9 + 5029145965/709478301*c_1100_0^8 + 12334437614/709478301*c_1100_0^7 + 2881509069/236492767*c_1100_0^6 - 10253894114/709478301*c_1100_0^5 - 24817257865/709478301*c_1100_0^4 - 12714163178/709478301*c_1100_0^3 + 3601067989/101354043*c_1100_0^2 + 2637928714/101354043*c_1100_0 + 1114229671/236492767, c_0011_0 - 1, c_0011_3 - 89278/166427*c_1100_0^9 - 585267/166427*c_1100_0^8 - 1348163/166427*c_1100_0^7 - 829652/166427*c_1100_0^6 + 1211975/166427*c_1100_0^5 + 2877929/166427*c_1100_0^4 + 1021454/166427*c_1100_0^3 - 2688176/166427*c_1100_0^2 - 2132166/166427*c_1100_0 - 31534/166427, c_0011_4 - 31137/166427*c_1100_0^9 - 226313/166427*c_1100_0^8 - 594733/166427*c_1100_0^7 - 512219/166427*c_1100_0^6 + 382475/166427*c_1100_0^5 + 1217699/166427*c_1100_0^4 + 727465/166427*c_1100_0^3 - 1013426/166427*c_1100_0^2 - 1152781/166427*c_1100_0 + 17859/166427, c_0101_0 + 104456/166427*c_1100_0^9 + 701593/166427*c_1100_0^8 + 1698095/166427*c_1100_0^7 + 1281870/166427*c_1100_0^6 - 1142396/166427*c_1100_0^5 - 3519382/166427*c_1100_0^4 - 1760523/166427*c_1100_0^3 + 2774164/166427*c_1100_0^2 + 2926820/166427*c_1100_0 + 497592/166427, c_0101_1 + 31137/166427*c_1100_0^9 + 226313/166427*c_1100_0^8 + 594733/166427*c_1100_0^7 + 512219/166427*c_1100_0^6 - 382475/166427*c_1100_0^5 - 1217699/166427*c_1100_0^4 - 727465/166427*c_1100_0^3 + 1013426/166427*c_1100_0^2 + 1152781/166427*c_1100_0 + 148568/166427, c_0101_2 + 29599/166427*c_1100_0^9 + 182113/166427*c_1100_0^8 + 389426/166427*c_1100_0^7 + 202292/166427*c_1100_0^6 - 345490/166427*c_1100_0^5 - 850877/166427*c_1100_0^4 - 267220/166427*c_1100_0^3 + 562713/166427*c_1100_0^2 + 546968/166427*c_1100_0 + 270883/166427, c_0101_3 - 22681/166427*c_1100_0^9 - 184137/166427*c_1100_0^8 - 557784/166427*c_1100_0^7 - 647146/166427*c_1100_0^6 + 159219/166427*c_1100_0^5 + 1218361/166427*c_1100_0^4 + 1133835/166427*c_1100_0^3 - 581635/166427*c_1100_0^2 - 1401362/166427*c_1100_0 - 370259/166427, c_0101_5 + 599/3541*c_1100_0^9 + 4197/3541*c_1100_0^8 + 10745/3541*c_1100_0^7 + 9372/3541*c_1100_0^6 - 5423/3541*c_1100_0^5 - 21679/3541*c_1100_0^4 - 15906/3541*c_1100_0^3 + 12585/3541*c_1100_0^2 + 19181/3541*c_1100_0 + 6792/3541, c_1001_0 + 83417/166427*c_1100_0^9 + 592563/166427*c_1100_0^8 + 1541943/166427*c_1100_0^7 + 1361657/166427*c_1100_0^6 - 887184/166427*c_1100_0^5 - 3286937/166427*c_1100_0^4 - 2128520/166427*c_1100_0^3 + 2324201/166427*c_1100_0^2 + 3267538/166427*c_1100_0 + 623283/166427, c_1001_8 + 83417/166427*c_1100_0^9 + 592563/166427*c_1100_0^8 + 1541943/166427*c_1100_0^7 + 1361657/166427*c_1100_0^6 - 887184/166427*c_1100_0^5 - 3286937/166427*c_1100_0^4 - 2128520/166427*c_1100_0^3 + 2324201/166427*c_1100_0^2 + 3101111/166427*c_1100_0 + 623283/166427, c_1100_0^10 + 7*c_1100_0^9 + 18*c_1100_0^8 + 16*c_1100_0^7 - 9*c_1100_0^6 - 37*c_1100_0^5 - 25*c_1100_0^4 + 24*c_1100_0^3 + 35*c_1100_0^2 + 10*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_5, c_1001_0, c_1001_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 29234/389*c_1100_0^9 - 121021/1556*c_1100_0^8 + 561535/6224*c_1100_0^7 + 203765/1556*c_1100_0^6 + 91788/389*c_1100_0^5 + 212285/778*c_1100_0^4 - 218243/1556*c_1100_0^3 - 2761651/6224*c_1100_0^2 - 926085/3112*c_1100_0 - 357431/6224, c_0011_0 - 1, c_0011_3 - 1495/778*c_1100_0^9 + 4151/3112*c_1100_0^8 + 946/389*c_1100_0^7 - 379/389*c_1100_0^6 + 1828/389*c_1100_0^5 - 1259/778*c_1100_0^4 - 22475/3112*c_1100_0^3 - 1739/1556*c_1100_0^2 + 4505/3112*c_1100_0 + 845/778, c_0011_4 - 375/778*c_1100_0^9 + 755/3112*c_1100_0^8 + 825/3112*c_1100_0^7 + 113/778*c_1100_0^6 + 292/389*c_1100_0^5 - 53/778*c_1100_0^4 - 1823/3112*c_1100_0^3 - 4363/3112*c_1100_0^2 + 1627/3112*c_1100_0 + 1203/3112, c_0101_0 - 413/778*c_1100_0^9 - 3795/3112*c_1100_0^8 + 869/778*c_1100_0^7 + 181/389*c_1100_0^6 + 722/389*c_1100_0^5 + 2925/778*c_1100_0^4 - 4377/3112*c_1100_0^3 - 4207/1556*c_1100_0^2 - 10069/3112*c_1100_0 - 230/389, c_0101_1 - 375/778*c_1100_0^9 + 755/3112*c_1100_0^8 + 825/3112*c_1100_0^7 + 113/778*c_1100_0^6 + 292/389*c_1100_0^5 - 53/778*c_1100_0^4 - 1823/3112*c_1100_0^3 - 4363/3112*c_1100_0^2 + 1627/3112*c_1100_0 + 1203/3112, c_0101_2 + 639/778*c_1100_0^9 - 1411/3112*c_1100_0^8 + 617/3112*c_1100_0^7 - 205/778*c_1100_0^6 - 843/389*c_1100_0^5 + 165/778*c_1100_0^4 + 567/3112*c_1100_0^3 + 2001/3112*c_1100_0^2 + 601/3112*c_1100_0 + 2699/3112, c_0101_3 + 838/389*c_1100_0^9 + 281/389*c_1100_0^8 - 9989/3112*c_1100_0^7 - 1421/778*c_1100_0^6 - 2054/389*c_1100_0^5 - 1672/389*c_1100_0^4 + 2687/389*c_1100_0^3 + 26121/3112*c_1100_0^2 + 4361/1556*c_1100_0 + 253/3112, c_0101_5 - 219/778*c_1100_0^9 + 1499/3112*c_1100_0^8 + 245/389*c_1100_0^7 - 342/389*c_1100_0^6 + 267/389*c_1100_0^5 - 977/778*c_1100_0^4 - 4687/3112*c_1100_0^3 + 2213/1556*c_1100_0^2 + 3085/3112*c_1100_0 + 665/778, c_1001_0 - c_1100_0, c_1001_8 - 413/778*c_1100_0^9 - 3795/3112*c_1100_0^8 + 869/778*c_1100_0^7 + 181/389*c_1100_0^6 + 722/389*c_1100_0^5 + 2925/778*c_1100_0^4 - 4377/3112*c_1100_0^3 - 4207/1556*c_1100_0^2 - 6957/3112*c_1100_0 - 230/389, c_1100_0^10 + 3/4*c_1100_0^9 - 5/4*c_1100_0^8 - 5/4*c_1100_0^7 - 3*c_1100_0^6 - 3*c_1100_0^5 + 9/4*c_1100_0^4 + 19/4*c_1100_0^3 + 3*c_1100_0^2 + 3/4*c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.350 seconds, Total memory usage: 32.09MB