Magma V2.19-8 Tue Aug 20 2013 23:57:52 on localhost [Seed = 88305063] Type ? for help. Type -D to quit. Loading file "L14n37561__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n37561 geometric_solution 11.32967464 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 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 0 1 0 -1 0 0 1 -1 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413529802129 0.856238636926 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 1 -1 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 1 -1 0 0 -4 4 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746809226872 0.789952560306 8 0 7 6 0132 0132 3012 0321 1 1 1 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 -1 0 1 0 0 0 0 -1 0 0 1 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045550895440 0.887901136154 4 8 9 0 1023 1302 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -3 0 4 -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 0.427108664828 0.574386732648 10 3 0 6 0132 1023 0132 1230 1 1 1 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 3 1 -4 0 0 1 -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 0.987244529306 0.909496449459 8 1 7 9 1023 0132 3120 0321 1 1 0 1 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 -4 0 4 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 -0.031487575100 0.675995984241 4 2 1 11 3012 0321 0132 0132 1 1 1 1 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 -1 1 0 4 0 -4 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 0.724341569282 0.873717817197 10 2 5 1 3120 1230 3120 0132 1 1 0 1 0 0 0 0 0 0 1 -1 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 1 -1 0 0 -4 4 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715026206425 0.456280998828 2 5 11 3 0132 1023 3012 2031 1 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 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564671165945 1.505516402511 10 5 11 3 1023 0321 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327936546258 0.705905667587 4 9 11 7 0132 1023 1230 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375647635099 1.086819397645 9 8 6 10 2031 1230 0132 3012 1 1 1 1 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 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875826564365 0.560457853766 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_5']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_0']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_11'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0011_11'], 'c_1100_0' : d['c_0101_11'], 'c_1100_3' : d['c_0101_11'], 'c_1100_2' : d['c_1001_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0101_2'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_3_0' : negation(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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_7']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_7']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 18064138720486547106108198653/134626049697592975342266500*c_1001_5^\ 9 + 26928398048467030279361271933/134626049697592975342266500*c_100\ 1_5^8 + 304830614500061976972250281513/134626049697592975342266500*\ c_1001_5^7 - 121915755434230042122272019993/33656512424398243835566\ 625*c_1001_5^6 + 29276103302873083598879210973/13462604969759297534\ 226650*c_1001_5^5 - 42515148087811933612018111414/33656512424398243\ 835566625*c_1001_5^4 + 8808185919918673232419009409/134626049697592\ 97534226650*c_1001_5^3 + 7838318899386803280183659533/1346260496975\ 92975342266500*c_1001_5^2 + 88386997349415897098924946799/134626049\ 697592975342266500*c_1001_5 + 78128465939583893810902858119/1346260\ 49697592975342266500, c_0011_0 - 1, c_0011_10 - 3911046331520326640023/43662502604624748759654*c_1001_5^9 - 6390799804609917189629/43662502604624748759654*c_1001_5^8 - 33788590710469610828032/21831251302312374379827*c_1001_5^7 + 31249700168967183629221/14554167534874916253218*c_1001_5^6 - 60685248385428428494271/43662502604624748759654*c_1001_5^5 + 30147174191687193029203/43662502604624748759654*c_1001_5^4 + 42050550114058490808217/43662502604624748759654*c_1001_5^3 - 10533875984929301760896/7277083767437458126609*c_1001_5^2 - 3682653869607995720654/7277083767437458126609*c_1001_5 - 28195798806905220657791/43662502604624748759654, c_0011_11 + 10438582978250360119/428063751025732830977*c_1001_5^9 + 39593269007499490110/428063751025732830977*c_1001_5^8 + 226462464710046809794/428063751025732830977*c_1001_5^7 + 148795940743178063109/428063751025732830977*c_1001_5^6 - 255127147399379441438/428063751025732830977*c_1001_5^5 - 97665617977709406422/428063751025732830977*c_1001_5^4 - 497337593456282938617/428063751025732830977*c_1001_5^3 + 420883044225219747131/428063751025732830977*c_1001_5^2 + 149275944231652352535/428063751025732830977*c_1001_5 + 98911274360607158562/428063751025732830977, c_0011_6 + 2281314609997832382/428063751025732830977*c_1001_5^9 + 38045095889676811110/428063751025732830977*c_1001_5^8 + 60257703596694320255/428063751025732830977*c_1001_5^7 + 465046506174208383714/428063751025732830977*c_1001_5^6 - 1422338822187646165747/428063751025732830977*c_1001_5^5 + 1111079169602786289946/428063751025732830977*c_1001_5^4 - 437589579003429932139/428063751025732830977*c_1001_5^3 + 162583846891668214241/428063751025732830977*c_1001_5^2 - 9096235133048435704/428063751025732830977*c_1001_5 - 71261415693264005307/428063751025732830977, c_0011_7 - 9924177161184181029265/65493753906937123139481*c_1001_5^9 - 10404379114770048280241/65493753906937123139481*c_1001_5^8 - 160380695927916385373339/65493753906937123139481*c_1001_5^7 + 115155998373208407117914/21831251302312374379827*c_1001_5^6 - 264034080264305247566810/65493753906937123139481*c_1001_5^5 + 199072198085814229154311/65493753906937123139481*c_1001_5^4 - 113612868832865896175369/65493753906937123139481*c_1001_5^3 + 7001459624881791001022/21831251302312374379827*c_1001_5^2 - 10871039010617110992856/21831251302312374379827*c_1001_5 - 2532346006598517633818/65493753906937123139481, c_0101_0 - 1, c_0101_1 - 11839907215502789332921/130987507813874246278962*c_1001_5^9 - 13479263115467748130577/130987507813874246278962*c_1001_5^8 - 96525810567486423703564/65493753906937123139481*c_1001_5^7 + 130299798364525999879733/43662502604624748759654*c_1001_5^6 - 293792193295383299400497/130987507813874246278962*c_1001_5^5 + 174818779620002779619641/130987507813874246278962*c_1001_5^4 - 51111368183824455541583/130987507813874246278962*c_1001_5^3 + 13012258427951895618742/21831251302312374379827*c_1001_5^2 - 22148581031877930708365/21831251302312374379827*c_1001_5 - 45273196976137808090555/130987507813874246278962, c_0101_11 - 106228972335060329782/1284191253077198492931*c_1001_5^9 - 67911924057438050414/1284191253077198492931*c_1001_5^8 - 1651489108377845217005/1284191253077198492931*c_1001_5^7 + 1461731370134937606917/428063751025732830977*c_1001_5^6 - 4092338683422367453448/1284191253077198492931*c_1001_5^5 + 2016565738304950384450/1284191253077198492931*c_1001_5^4 - 738238596021580289690/1284191253077198492931*c_1001_5^3 + 377714110347142701586/428063751025732830977*c_1001_5^2 - 33209600215337319557/428063751025732830977*c_1001_5 - 179871864694450335824/1284191253077198492931, c_0101_2 + 3914225876766885391199/43662502604624748759654*c_1001_5^9 + 8983554050398851152839/43662502604624748759654*c_1001_5^8 + 36085849666506516853178/21831251302312374379827*c_1001_5^7 - 16509459719355904861281/14554167534874916253218*c_1001_5^6 + 3246773938606227937987/43662502604624748759654*c_1001_5^5 - 10845343901757062289881/43662502604624748759654*c_1001_5^4 - 21675104202903796811633/43662502604624748759654*c_1001_5^3 + 3535222693416823625181/7277083767437458126609*c_1001_5^2 + 3770287689953926735565/7277083767437458126609*c_1001_5 + 20276777123702934948163/43662502604624748759654, c_0101_7 - 19051584906561225817/428063751025732830977*c_1001_5^9 - 37870543281982981301/428063751025732830977*c_1001_5^8 - 313124972981628917781/428063751025732830977*c_1001_5^7 + 383815941484610709037/428063751025732830977*c_1001_5^6 + 310486884285044839881/428063751025732830977*c_1001_5^5 - 675320940888271519793/428063751025732830977*c_1001_5^4 + 315720958914810531869/428063751025732830977*c_1001_5^3 - 246632920162799437151/428063751025732830977*c_1001_5^2 + 120490672918303251442/428063751025732830977*c_1001_5 - 72498657302729142577/428063751025732830977, c_1001_0 + 75138285351524711319/428063751025732830977*c_1001_5^9 + 154537935944128817512/428063751025732830977*c_1001_5^8 + 1331171392628272541013/428063751025732830977*c_1001_5^7 - 1324878225615699704696/428063751025732830977*c_1001_5^6 + 39676521228995476413/428063751025732830977*c_1001_5^5 - 244079477209847641982/428063751025732830977*c_1001_5^4 + 283225292931562166273/428063751025732830977*c_1001_5^3 + 524408227230144486641/428063751025732830977*c_1001_5^2 + 526130833585915892393/428063751025732830977*c_1001_5 + 301558578450886398160/428063751025732830977, c_1001_5^10 + 80/43*c_1001_5^9 + 755/43*c_1001_5^8 - 885/43*c_1001_5^7 + 362/43*c_1001_5^6 - 316/43*c_1001_5^5 + 176/43*c_1001_5^4 + 33/43*c_1001_5^3 + 246/43*c_1001_5^2 + 245/43*c_1001_5 + 111/43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB