Magma V2.19-8 Tue Aug 20 2013 16:14:14 on localhost [Seed = 1747579973] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s203 geometric_solution 4.32585419 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 2310 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 0 0 0 0 0 0 0 0 0 0 1.449001538508 0.289137521875 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 0 1 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 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.043368727905 0.307151353327 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 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 1 0 -1 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 0.737242384463 0.296420600197 2 4 5 4 0132 1302 0132 2031 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 -1 0 1 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 0.626611175284 0.412641240331 5 3 2 3 2310 1302 0132 2031 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 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 0.626611175284 0.412641240331 5 5 4 3 1302 2031 3201 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 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 0.648522993813 0.603054362047 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_1'], 'c_1010_3' : d['c_0011_1'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_5, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 714450602984523033719/286930773234505862*c_0101_3^12 - 2665072266295112083225/104338462994365768*c_0101_3^11 - 5985903654253202546291/40990110462072266*c_0101_3^10 - 137578563020506469769713/1147723092938023448*c_0101_3^9 - 13971031935269272955721/14905494713480824*c_0101_3^8 + 6661010685795845922030135/1147723092938023448*c_0101_3^7 - 7996997084181993582267973/1147723092938023448*c_0101_3^6 + 298443510803964328290885/104338462994365768*c_0101_3^5 + 33345047328333537050345/20495055231036133*c_0101_3^4 - 132100412615854362445745/40990110462072266*c_0101_3^3 + 2123119183867768524347487/1147723092938023448*c_0101_3^2 - 640915899205546711946075/1147723092938023448*c_0101_3 + 77512986890936198017419/1147723092938023448, c_0011_0 - 1, c_0011_1 + 1135892137386568841/40990110462072266*c_0101_3^12 + 11653053292821459271/40990110462072266*c_0101_3^11 + 66627401925529345485/40990110462072266*c_0101_3^10 + 27368349258745815219/20495055231036133*c_0101_3^9 + 213817700618144257396/20495055231036133*c_0101_3^8 - 1323609393255922417539/20495055231036133*c_0101_3^7 + 144387784580930504825/1863186839185103*c_0101_3^6 - 1302647844484667430389/40990110462072266*c_0101_3^5 - 371412316154394163124/20495055231036133*c_0101_3^4 + 1469411408418124838933/40990110462072266*c_0101_3^3 - 421391622546246864202/20495055231036133*c_0101_3^2 + 127135521635159331973/20495055231036133*c_0101_3 - 30722016951931487421/40990110462072266, c_0011_5 + 2696296907355970729/163960441848289064*c_0101_3^12 + 2514764233251519987/14905494713480824*c_0101_3^11 + 158169330140026630687/163960441848289064*c_0101_3^10 + 65008742779927322889/81980220924144532*c_0101_3^9 + 46147071205144465343/7452747356740412*c_0101_3^8 - 3141592294397409333387/81980220924144532*c_0101_3^7 + 3768932572736833865739/81980220924144532*c_0101_3^6 - 281029547517788550343/14905494713480824*c_0101_3^5 - 220356221822238370978/20495055231036133*c_0101_3^4 + 3487353869249334135607/163960441848289064*c_0101_3^3 - 500036284641568301447/40990110462072266*c_0101_3^2 + 150890776507187404833/40990110462072266*c_0101_3 - 72878992330924959897/163960441848289064, c_0101_0 + 1318160462468428223/81980220924144532*c_0101_3^12 + 13517982629489261811/81980220924144532*c_0101_3^11 + 77266895797790880013/81980220924144532*c_0101_3^10 + 31610120468940237985/40990110462072266*c_0101_3^9 + 247982464617277310565/40990110462072266*c_0101_3^8 - 1536944763745559594559/40990110462072266*c_0101_3^7 + 1848731787732740746873/40990110462072266*c_0101_3^6 - 1523248020806649976279/81980220924144532*c_0101_3^5 - 214858714709247491052/20495055231036133*c_0101_3^4 + 1709699045415046515117/81980220924144532*c_0101_3^3 - 245882257489380427737/20495055231036133*c_0101_3^2 + 74325342488799908974/20495055231036133*c_0101_3 - 36016270689036502215/81980220924144532, c_0101_2 - 217098549990966005/40990110462072266*c_0101_3^12 - 2228619293449020959/40990110462072266*c_0101_3^11 - 12749030603276280133/40990110462072266*c_0101_3^10 - 5273706062444644270/20495055231036133*c_0101_3^9 - 40907941444439072623/20495055231036133*c_0101_3^8 + 22972941625889021821/1863186839185103*c_0101_3^7 - 301958706538147626927/20495055231036133*c_0101_3^6 + 245587731506745628659/40990110462072266*c_0101_3^5 + 71432758602248638637/20495055231036133*c_0101_3^4 - 279580233751584218989/40990110462072266*c_0101_3^3 + 7249461979189101574/1863186839185103*c_0101_3^2 - 23957796239044412296/20495055231036133*c_0101_3 + 5747908302008095273/40990110462072266, c_0101_3^13 + 10*c_0101_3^12 + 56*c_0101_3^11 + 33*c_0101_3^10 + 364*c_0101_3^9 - 2428*c_0101_3^8 + 3400*c_0101_3^7 - 1871*c_0101_3^6 - 357*c_0101_3^5 + 1463*c_0101_3^4 - 1077*c_0101_3^3 + 416*c_0101_3^2 - 85*c_0101_3 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB