Magma V2.19-8 Tue Aug 20 2013 16:14:45 on localhost [Seed = 122067809] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s735 geometric_solution 5.25084484 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 1 0 0 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.805410986096 0.520462733092 0 2 3 0 0132 0132 0132 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570823309254 0.769152833530 4 1 5 3 0132 0132 0132 3201 0 0 0 0 0 0 0 0 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 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 0.144132902773 0.796587594086 5 2 4 1 1023 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.144132902773 0.796587594086 2 3 4 4 0132 3201 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190204100134 0.864553700695 5 3 5 2 2031 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 -1 1 1 0 -1 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 0.638146410246 1.265284907123 ==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_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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0101_2'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : 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_3'], 'c_0011_4' : negation(d['c_0011_0']), '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_1' : negation(d['c_0101_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_4'], '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_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 23576951880146016/26681719887775*c_0101_4^16 + 98676208977038848/26681719887775*c_0101_4^15 - 148116510515056/54121135675*c_0101_4^14 - 28560797782258296/26681719887775*c_0101_4^13 + 160962851569181336/26681719887775*c_0101_4^12 - 79483788864903028/5336343977555*c_0101_4^11 + 66424045790869978/5336343977555*c_0101_4^10 - 36068729498433154/5336343977555*c_0101_4^9 + 397009265611306/113539233565*c_0101_4^8 + 5470882964160516/1404301046725*c_0101_4^7 - 136092719689073577/26681719887775*c_0101_4^6 + 3098946946541511/1569512934575*c_0101_4^5 - 8498799735249986/26681719887775*c_0101_4^4 - 4799952572364974/26681719887775*c_0101_4^3 + 9017226367986463/26681719887775*c_0101_4^2 - 4477903729187707/26681719887775*c_0101_4 - 1745992424745488/26681719887775, c_0011_0 - 1, c_0011_3 + 22329214838499984/26681719887775*c_0101_4^16 - 93545815360157552/26681719887775*c_0101_4^15 + 140648932143944/54121135675*c_0101_4^14 + 28191438282879404/26681719887775*c_0101_4^13 - 155768850326317064/26681719887775*c_0101_4^12 + 75810414728389442/5336343977555*c_0101_4^11 - 62800223657984017/5336343977555*c_0101_4^10 + 32906913566568646/5336343977555*c_0101_4^9 - 323570196729114/113539233565*c_0101_4^8 - 5751081340168759/1404301046725*c_0101_4^7 + 134968883262165773/26681719887775*c_0101_4^6 - 3108088294950189/1569512934575*c_0101_4^5 + 6196124534962139/26681719887775*c_0101_4^4 + 7843182064626076/26681719887775*c_0101_4^3 - 9072437251558087/26681719887775*c_0101_4^2 + 3868216853681793/26681719887775*c_0101_4 + 1714859095564187/26681719887775, c_0101_0 + 340124962569632/1067268795511*c_0101_4^16 - 1435543100461808/1067268795511*c_0101_4^15 + 2228835100432/2164845427*c_0101_4^14 + 399387319597312/1067268795511*c_0101_4^13 - 2374173077311252/1067268795511*c_0101_4^12 + 5840307584110744/1067268795511*c_0101_4^11 - 4956110229728204/1067268795511*c_0101_4^10 + 2652807799446899/1067268795511*c_0101_4^9 - 27180378396305/22707846713*c_0101_4^8 - 84657927122808/56172041869*c_0101_4^7 + 2084774383852385/1067268795511*c_0101_4^6 - 50126381634908/62780517383*c_0101_4^5 + 131132528791602/1067268795511*c_0101_4^4 + 106848465692203/1067268795511*c_0101_4^3 - 135550723090103/1067268795511*c_0101_4^2 + 61609660871128/1067268795511*c_0101_4 + 24626890982094/1067268795511, c_0101_1 + 641431647970832/1067268795511*c_0101_4^16 - 2685137954803552/1067268795511*c_0101_4^15 + 4018504758808/2164845427*c_0101_4^14 + 824163554952260/1067268795511*c_0101_4^13 - 4475401102559532/1067268795511*c_0101_4^12 + 10869462319387258/1067268795511*c_0101_4^11 - 8970234624709111/1067268795511*c_0101_4^10 + 4667463860324801/1067268795511*c_0101_4^9 - 45796097208114/22707846713*c_0101_4^8 - 165813120169996/56172041869*c_0101_4^7 + 3864679624930708/1067268795511*c_0101_4^6 - 87798050368075/62780517383*c_0101_4^5 + 162731936391130/1067268795511*c_0101_4^4 + 226537813791053/1067268795511*c_0101_4^3 - 257456459187882/1067268795511*c_0101_4^2 + 109009136781254/1067268795511*c_0101_4 + 50361145648339/1067268795511, c_0101_2 + 104973938976/245649575*c_0101_4^16 - 439443769728/245649575*c_0101_4^15 + 658686416/498275*c_0101_4^14 + 132931794856/245649575*c_0101_4^13 - 731243713096/245649575*c_0101_4^12 + 355880910508/49129915*c_0101_4^11 - 294252940638/49129915*c_0101_4^10 + 154248439694/49129915*c_0101_4^9 - 71598151822/49129915*c_0101_4^8 - 26933349776/12928925*c_0101_4^7 + 630563532447/245649575*c_0101_4^6 - 14427705996/14449975*c_0101_4^5 + 28672021146/245649575*c_0101_4^4 + 36480453164/245649575*c_0101_4^3 - 42202017243/245649575*c_0101_4^2 + 17687904227/245649575*c_0101_4 + 8233785843/245649575, c_0101_4^17 - 5*c_0101_4^16 + 13/2*c_0101_4^15 - 5/4*c_0101_4^14 - 8*c_0101_4^13 + 181/8*c_0101_4^12 - 445/16*c_0101_4^11 + 75/4*c_0101_4^10 - 75/8*c_0101_4^9 - 17/8*c_0101_4^8 + 10*c_0101_4^7 - 29/4*c_0101_4^6 + 35/16*c_0101_4^5 + 1/8*c_0101_4^4 - 11/16*c_0101_4^3 + 1/2*c_0101_4^2 - 1/16*c_0101_4 - 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB