Magma V2.19-8 Tue Aug 20 2013 16:18:07 on localhost [Seed = 3515895060] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2344 geometric_solution 5.72428790 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 1 -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 1 -1 0 -1 0 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.336635368379 0.515103816707 0 5 5 2 0132 0132 3201 2310 0 0 0 0 0 -1 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 1 0 -1 1 0 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 0.281363648341 0.791283619393 1 0 4 6 3201 0132 3012 0132 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 0 0 0 0 0 -1 1 0 1 0 -1 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 0.583725623424 0.759625287052 5 5 6 0 3120 0213 2310 0132 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 -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 0.894258710993 2.430940513594 6 2 0 6 3201 1230 0132 2310 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 0 -1 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 -0.121145000168 0.440679608589 1 1 3 3 2310 0132 0213 3120 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 0 0 0 0 0 0 0 0 0 0 0 1.743967476750 1.656288701337 4 3 2 4 3201 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.651665427527 1.208244644216 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['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_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_0_6' : 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_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 3577568580189/222257598584*c_0101_6^11 + 4205595689613/111128799292*c_0101_6^10 + 7433476114923/222257598584*c_0101_6^9 + 214393430493/15875542756*c_0101_6^8 - 2728209395643/111128799292*c_0101_6^7 - 12646698613695/222257598584*c_0101_6^6 - 2190829169955/111128799292*c_0101_6^5 - 9600706592559/222257598584*c_0101_6^4 - 2588073043231/27782199823*c_0101_6^3 - 15893085756061/222257598584*c_0101_6^2 - 2249252254195/111128799292*c_0101_6 - 726418864085/31751085512, c_0011_0 - 1, c_0011_3 - 1680352245/3968885689*c_0101_6^11 - 10049878071/7937771378*c_0101_6^10 - 10867140975/7937771378*c_0101_6^9 - 805028370/3968885689*c_0101_6^8 + 4774730381/3968885689*c_0101_6^7 + 8810865270/3968885689*c_0101_6^6 + 10205148785/7937771378*c_0101_6^5 - 17976317/7937771378*c_0101_6^4 + 8810120287/3968885689*c_0101_6^3 + 12556532550/3968885689*c_0101_6^2 + 68683813/7937771378*c_0101_6 - 621029293/7937771378, c_0011_4 - 8067811365/15875542756*c_0101_6^11 - 4517467875/3968885689*c_0101_6^10 - 13320706281/15875542756*c_0101_6^9 - 1524168735/7937771378*c_0101_6^8 + 5386089337/7937771378*c_0101_6^7 + 25864115039/15875542756*c_0101_6^6 + 992016180/3968885689*c_0101_6^5 + 19881977617/15875542756*c_0101_6^\ 4 + 12773839223/3968885689*c_0101_6^3 + 18331132725/15875542756*c_0101_6^2 + 673325741/3968885689*c_0101_6 + 12465244665/15875542756, c_0011_6 - 3818521656/3968885689*c_0101_6^11 - 17417351151/7937771378*c_0101_6^10 - 15676940655/7937771378*c_0101_6^9 - 4201566684/3968885689*c_0101_6^8 + 4645446687/3968885689*c_0101_6^7 + 13037931326/3968885689*c_0101_6^6 + 12282024265/7937771378*c_0101_6^5 + 25193953643/7937771378*c_0101_6^4 + 20547135539/3968885689*c_0101_6^3 + 13205170580/3968885689*c_0101_6^2 + 15006221529/7937771378*c_0101_6 + 12133853513/7937771378, c_0101_0 - 12814899993/15875542756*c_0101_6^11 - 18369443961/7937771378*c_0101_6^10 - 39348435315/15875542756*c_0101_6^9 - 8999849457/7937771378*c_0101_6^8 + 9436563575/7937771378*c_0101_6^7 + 55929580835/15875542756*c_0101_6^6 + 15562220271/7937771378*c_0101_6^5 + 30853566883/15875542756*c_0101_6^4 + 21041699834/3968885689*c_0101_6^3 + 89328262853/15875542756*c_0101_6^2 + 16849692369/7937771378*c_0101_6 + 18486744047/15875542756, c_0101_3 - 8950462659/7937771378*c_0101_6^11 - 11083994505/3968885689*c_0101_6^10 - 19380426723/7937771378*c_0101_6^9 - 3418243155/3968885689*c_0101_6^8 + 8107504800/3968885689*c_0101_6^7 + 34553499339/7937771378*c_0101_6^6 + 5849568586/3968885689*c_0101_6^5 + 23771926471/7937771378*c_0101_6^4 + 27124397867/3968885689*c_0101_6^3 + 38722003039/7937771378*c_0101_6^2 + 5242778597/3968885689*c_0101_6 + 3177933193/7937771378, c_0101_6^12 + 3*c_0101_6^11 + 11/3*c_0101_6^10 + 7/3*c_0101_6^9 - 8/9*c_0101_6^8 - 41/9*c_0101_6^7 - 11/3*c_0101_6^6 - 11/3*c_0101_6^5 - 67/9*c_0101_6^4 - 73/9*c_0101_6^3 - 13/3*c_0101_6^2 - 7/3*c_0101_6 - 7/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB