Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 1916006031] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0515 geometric_solution 4.52072578 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 1 -1 0 0 1 -1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 1 -1 1 0 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.267214425070 0.263718784448 0 2 2 0 0132 0132 3201 3201 0 0 0 0 0 -1 0 1 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 -2 0 2 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.730306369639 0.910187293029 1 1 3 4 2310 0132 0132 0132 0 0 0 0 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 0 0 0 0 0 0 0 0 2 -1 -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 -0.032960401985 0.320028217067 4 4 5 2 1023 3012 0132 0132 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 0 -1 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 0.666401953731 1.434681901763 3 3 2 5 1230 1023 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.666401953731 1.434681901763 6 6 4 3 0132 3201 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 0 1 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 -0.862051597466 0.894274019286 5 6 5 6 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.350955499465 0.825776146682 ==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' : negation(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' : negation(d['1']), 's_1_1' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_1100_2'], 'c_1100_4' : d['c_1100_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_1100_2'], 'c_1100_2' : d['c_1100_2'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_1']), 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0011_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_5, c_0101_0, c_0101_1, c_0101_2, c_1100_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 22317411370326659/8584202236485825*c_1100_2^11 - 24988940126770333/8584202236485825*c_1100_2^10 + 647439946228441922/8584202236485825*c_1100_2^9 + 2688168755732470834/8584202236485825*c_1100_2^8 + 1682903288356498804/2861400745495275*c_1100_2^7 + 1249843161164998558/8584202236485825*c_1100_2^6 - 4150321121934082336/2861400745495275*c_1100_2^5 - 19573973972002978087/8584202236485825*c_1100_2^4 - 8636977858104375959/8584202236485825*c_1100_2^3 + 2769238615554310432/8584202236485825*c_1100_2^2 + 3978096441076970327/8584202236485825*c_1100_2 + 132977733835706518/953800248498425, c_0011_0 - 1, c_0011_3 + 18229303851835/114456029819811*c_1100_2^11 + 22648271599571/114456029819811*c_1100_2^10 - 525837597273130/114456029819811*c_1100_2^9 - 2261977312045568/114456029819811*c_1100_2^8 - 1469045471689527/38152009939937*c_1100_2^7 - 1532019898611911/114456029819811*c_1100_2^6 + 3359776971884488/38152009939937*c_1100_2^5 + 17389165696336772/114456029819811*c_1100_2^4 + 9041414640534445/114456029819811*c_1100_2^3 - 1809473678067731/114456029819811*c_1100_2^2 - 3744986845782121/114456029819811*c_1100_2 - 402332379105476/38152009939937, c_0011_5 + 7500530424776/114456029819811*c_1100_2^11 + 12152623358101/114456029819811*c_1100_2^10 - 215667515592041/114456029819811*c_1100_2^9 - 1013641988479123/114456029819811*c_1100_2^8 - 694031214498932/38152009939937*c_1100_2^7 - 1032031003340056/114456029819811*c_1100_2^6 + 1450986661505349/38152009939937*c_1100_2^5 + 8562473078611567/114456029819811*c_1100_2^4 + 4938656694475910/114456029819811*c_1100_2^3 - 778476263879392/114456029819811*c_1100_2^2 - 1783351391356373/114456029819811*c_1100_2 - 197030190299280/38152009939937, c_0101_0 + 4981584923121/38152009939937*c_1100_2^11 + 5919094873932/38152009939937*c_1100_2^10 - 144293856452873/38152009939937*c_1100_2^9 - 610126417794112/38152009939937*c_1100_2^8 - 1163219610249824/38152009939937*c_1100_2^7 - 337008512846909/38152009939937*c_1100_2^6 + 2789215670945631/38152009939937*c_1100_2^5 + 4552551190138999/38152009939937*c_1100_2^4 + 2122332652944303/38152009939937*c_1100_2^3 - 585503509832883/38152009939937*c_1100_2^2 - 902305568175045/38152009939937*c_1100_2 - 296407372417117/38152009939937, c_0101_1 - 3444064799/21028114977*c_1100_2^11 - 4132864684/21028114977*c_1100_2^10 + 99891099344/21028114977*c_1100_2^9 + 422948057008/21028114977*c_1100_2^8 + 268023753007/7009371659*c_1100_2^7 + 227881089019/21028114977*c_1100_2^6 - 649511475286/7009371659*c_1100_2^5 - 3157686000745/21028114977*c_1100_2^4 - 1432363886471/21028114977*c_1100_2^3 + 456361612636/21028114977*c_1100_2^2 + 655594302296/21028114977*c_1100_2 + 65969902198/7009371659, c_0101_2 + 3678842052011/114456029819811*c_1100_2^11 + 3190578303451/114456029819811*c_1100_2^10 - 106497196520021/114456029819811*c_1100_2^9 - 417158486010688/114456029819811*c_1100_2^8 - 252129025804771/38152009939937*c_1100_2^7 - 79485171594721/114456029819811*c_1100_2^6 + 668688023633345/38152009939937*c_1100_2^5 + 2885669898778345/114456029819811*c_1100_2^4 + 1037598310801550/114456029819811*c_1100_2^3 - 692484900013423/114456029819811*c_1100_2^2 - 655698583974050/114456029819811*c_1100_2 - 38830272426271/38152009939937, c_1100_2^12 + 2*c_1100_2^11 - 28*c_1100_2^10 - 146*c_1100_2^9 - 333*c_1100_2^8 - 257*c_1100_2^7 + 507*c_1100_2^6 + 1373*c_1100_2^5 + 1171*c_1100_2^4 + 217*c_1100_2^3 - 298*c_1100_2^2 - 213*c_1100_2 - 45 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB