Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 1713896208] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3040 geometric_solution 6.21225316 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 -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 0.074690515022 0.744959892537 0 3 5 4 0132 0132 0132 0132 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 -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 0.451477409687 0.853673413555 3 0 4 5 2310 0132 3201 3201 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 -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 0.451477409687 0.853673413555 3 1 2 3 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294877266682 1.159848981713 2 6 1 6 2310 0132 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 -1 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 0.866840829251 0.570424687135 5 2 5 1 2031 2310 1302 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833758511907 0.659017373778 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574373426944 0.170820354466 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_0'], '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_0011_5' : d['c_0011_4'], 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t - 1740194100208620485163503/77501001036265451160596480*c_0101_3*c_011\ 0_6^13 - 18838997564547326290924529/38750500518132725580298240*c_01\ 01_3*c_0110_6^12 - 28917775821583920857088965/775010010362654511605\ 9648*c_0101_3*c_0110_6^11 - 996030371159192885688663461/77501001036\ 265451160596480*c_0101_3*c_0110_6^10 - 944485752569895388891118231/38750500518132725580298240*c_0101_3*c_0\ 110_6^9 - 2289039410727188586651922157/77501001036265451160596480*c\ _0101_3*c_0110_6^8 - 158557115482954880390502973/155002002072530902\ 32119296*c_0101_3*c_0110_6^7 + 659122270409549713721098401/15500200\ 207253090232119296*c_0101_3*c_0110_6^6 + 7944252782067040862578126453/77501001036265451160596480*c_0101_3*c_\ 0110_6^5 + 3075556026272934180595263787/19375250259066362790149120*\ c_0101_3*c_0110_6^4 + 2965345922470428675327743637/3875050051813272\ 5580298240*c_0101_3*c_0110_6^3 - 5331395917303746620305417077/77501\ 001036265451160596480*c_0101_3*c_0110_6^2 - 542525295837573479367964127/7750100103626545116059648*c_0101_3*c_01\ 10_6 - 194530048186062942922258219/9687625129533181395074560*c_0101\ _3, c_0011_0 - 1, c_0011_4 + 68791924618030438228/18921142831119494912255*c_0101_3*c_0110\ _6^13 + 1267242520096905470183/18921142831119494912255*c_0101_3*c_0\ 110_6^12 + 1423115406065176365082/3784228566223898982451*c_0101_3*c\ _0110_6^11 + 12006836443606711182416/18921142831119494912255*c_0101\ _3*c_0110_6^10 + 7350968060029045151492/18921142831119494912255*c_0\ 101_3*c_0110_6^9 - 7247299230540983874148/18921142831119494912255*c\ _0101_3*c_0110_6^8 - 11290243560897227087728/3784228566223898982451\ *c_0101_3*c_0110_6^7 - 10791794770880766517875/37842285662238989824\ 51*c_0101_3*c_0110_6^6 - 77156605791855741172608/189211428311194949\ 12255*c_0101_3*c_0110_6^5 + 23153103407520546962917/189211428311194\ 94912255*c_0101_3*c_0110_6^4 + 228796604518208318870661/18921142831\ 119494912255*c_0101_3*c_0110_6^3 + 51370530523568112470252/18921142831119494912255*c_0101_3*c_0110_6^2 - 10657183996491419739011/3784228566223898982451*c_0101_3*c_0110_6 - 29130387485959779800708/18921142831119494912255*c_0101_3, c_0101_0 + 7245010230005345091/18921142831119494912255*c_0110_6^13 + 149607477860499047716/18921142831119494912255*c_0110_6^12 + 218279208205249034157/3784228566223898982451*c_0110_6^11 + 3805469287888309562642/18921142831119494912255*c_0110_6^10 + 9170189124004863025849/18921142831119494912255*c_0110_6^9 + 14927167177418543185259/18921142831119494912255*c_0110_6^8 + 2542343358186447184675/3784228566223898982451*c_0110_6^7 - 38066269211352489183/3784228566223898982451*c_0110_6^6 - 34631571682695018027746/18921142831119494912255*c_0110_6^5 - 60024613307051806467566/18921142831119494912255*c_0110_6^4 - 65888871166935008183098/18921142831119494912255*c_0110_6^3 - 35776680528379165218591/18921142831119494912255*c_0110_6^2 + 7111504752623216267361/3784228566223898982451*c_0110_6 + 2604832691835336091244/18921142831119494912255, c_0101_1 + 425287745961725930099/151369142648955959298040*c_0110_6^13 + 2131112361232154455041/37842285662238989824510*c_0110_6^12 + 5717838435720475634093/15136914264895595929804*c_0110_6^11 + 155064033693005640127373/151369142648955959298040*c_0110_6^10 + 57122640030390335288069/37842285662238989824510*c_0110_6^9 + 197250197706822200387801/151369142648955959298040*c_0110_6^8 - 32144175305564710723625/30273828529791191859608*c_0110_6^7 - 131861874973708133041171/30273828529791191859608*c_0110_6^6 - 1159052097806801289026179/151369142648955959298040*c_0110_6^5 - 623640025306699137552927/75684571324477979649020*c_0110_6^4 + 202772969684521698732029/75684571324477979649020*c_0110_6^3 + 1252607639564060656170661/151369142648955959298040*c_0110_6^2 + 9364132369351461840009/7568457132447797964902*c_0110_6 + 2631094272182344730272/18921142831119494912255, c_0101_2 + 295749114555767017843/75684571324477979649020*c_0101_3*c_011\ 0_6^13 + 1370409384913245191732/18921142831119494912255*c_0101_3*c_\ 0110_6^12 + 3125029268532344978337/7568457132447797964902*c_0101_3*\ c_0110_6^11 + 55955936886169042285541/75684571324477979649020*c_010\ 1_3*c_0110_6^10 + 10937396836610137013673/18921142831119494912255*c\ _0101_3*c_0110_6^9 - 7964281766000599085383/75684571324477979649020\ *c_0101_3*c_0110_6^8 - 42777041249607150639925/15136914264895595929\ 804*c_0101_3*c_0110_6^7 - 45946286578541121121931/15136914264895595\ 929804*c_0101_3*c_0110_6^6 - 365443421284202017740783/7568457132447\ 7979649020*c_0101_3*c_0110_6^5 - 4059875767141203700129/37842285662\ 238989824510*c_0101_3*c_0110_6^4 + 434460783862814628283343/37842285662238989824510*c_0101_3*c_0110_6^\ 3 + 82445296472551658148677/75684571324477979649020*c_0101_3*c_0110\ _6^2 - 12326159373182183260841/3784228566223898982451*c_0101_3*c_01\ 10_6 - 27145027913399515282552/18921142831119494912255*c_0101_3, c_0101_3^2 - 132059125129120421767/75684571324477979649020*c_0110_6^13 - 638486118247816483338/18921142831119494912255*c_0110_6^12 - 1597835251990352574149/7568457132447797964902*c_0110_6^11 - 37307468611950961745849/75684571324477979649020*c_0110_6^10 - 11731337812649945147532/18921142831119494912255*c_0110_6^9 - 31773704531524254193013/75684571324477979649020*c_0110_6^8 + 13797396083694835120245/15136914264895595929804*c_0110_6^7 + 30489379165755585569319/15136914264895595929804*c_0110_6^6 + 259802817153598628351547/75684571324477979649020*c_0110_6^5 + 102305061048495143043181/37842285662238989824510*c_0110_6^4 - 123149416684152396168237/37842285662238989824510*c_0110_6^3 - 207446092745176813577573/75684571324477979649020*c_0110_6^2 + 2401288348255051072485/3784228566223898982451*c_0110_6 - 6211375983488465990647/18921142831119494912255, c_0110_6^14 + 20*c_0110_6^13 + 134*c_0110_6^12 + 367*c_0110_6^11 + 572*c_0110_6^10 + 555*c_0110_6^9 - 239*c_0110_6^8 - 1365*c_0110_6^7 - 2761*c_0110_6^6 - 3130*c_0110_6^5 + 238*c_0110_6^4 + 2127*c_0110_6^3 + 756*c_0110_6^2 + 64*c_0110_6 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB