Magma V2.19-8 Tue Aug 20 2013 23:44:06 on localhost [Seed = 813061599] Type ? for help. Type -D to quit. Loading file "K13n1697__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1697 geometric_solution 10.75363711 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 1 0 0 -1 0 0 0 0 -1 7 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.146016899637 0.911731307446 0 5 7 6 0132 0132 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 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 0 0 0 0.859802931611 0.926209418468 8 0 10 9 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 0 7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.308467515977 0.482552158471 7 9 4 0 0132 2031 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363105321322 0.644258457280 3 5 0 9 2103 1023 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.146016899637 0.911731307446 4 1 10 11 1023 0132 3012 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 1 0 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 0.859802931611 0.926209418468 10 11 1 11 0321 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.198084252663 0.884316746830 3 8 10 1 0132 0213 0321 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 0.396158080065 0.473784828602 2 9 7 11 0132 0321 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.568615907581 0.349231168687 3 4 2 8 1302 0321 0132 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 6 1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.653366528281 1.020333403397 6 5 7 2 0321 1230 0321 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301976844665 0.815284928101 8 6 5 6 3012 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.198084252663 0.884316746830 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0110_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_0101_5'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_10']), 'c_1001_1' : d['c_0110_11'], 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_5'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_5'], 's_0_10' : 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' : negation(d['c_0101_0']), 's_2_0' : negation(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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_7'], 'c_1100_8' : d['c_0110_11'], 'c_1100_5' : negation(d['c_1001_10']), 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_1001_10'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_11'], 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_0110_11'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_0101_5'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : 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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_6' : negation(d['c_0011_10']), '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_11'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : negation(d['c_0011_3']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_0']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_11, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 1594323/9100*c_1001_7 + 4074381/18200, c_0011_0 - 1, c_0011_10 + c_1001_7 + 2/3, c_0011_11 - 4/3, c_0011_3 - c_1001_7 + 1, c_0011_9 - 1/3, c_0101_0 + 1/3, c_0101_1 - c_1001_7, c_0101_11 + 1/3, c_0101_5 - c_1001_7 - 1, c_0110_11 + c_1001_7 + 1/3, c_1001_10 - 2/3, c_1001_7^2 + c_1001_7 - 5/9 ], 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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0110_11, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 24060838451149616/809034980355*c_1001_7^14 + 64339708551428452/809034980355*c_1001_7^13 - 22664595253242802/161806996071*c_1001_7^12 + 193383795817770347/809034980355*c_1001_7^11 - 333742676080875206/809034980355*c_1001_7^10 + 20349612821402917/38525475255*c_1001_7^9 - 107168223049741901/161806996071*c_1001_7^8 + 701926300135023757/809034980355*c_1001_7^7 - 864920711007584719/809034980355*c_1001_7^6 + 253003362464665762/269678326785*c_1001_7^5 - 711733425617684639/809034980355*c_1001_7^4 + 750995895229959592/809034980355*c_1001_7^3 - 656200401877730279/809034980355*c_1001_7^2 + 295748549646493493/809034980355*c_1001_7 - 17404910696105111/269678326785, c_0011_0 - 1, c_0011_10 - 1657991044/2568365017*c_1001_7^14 + 48629297561/23115285153*c_1001_7^13 - 88506798118/23115285153*c_1001_7^12 + 156284838494/23115285153*c_1001_7^11 - 265278081083/23115285153*c_1001_7^10 + 365638494383/23115285153*c_1001_7^9 - 152126581316/7705095051*c_1001_7^8 + 599148093268/23115285153*c_1001_7^7 - 734717677837/23115285153*c_1001_7^6 + 728243852899/23115285153*c_1001_7^5 - 72043486135/2568365017*c_1001_7^4 + 690874652234/23115285153*c_1001_7^3 - 600280832650/23115285153*c_1001_7^2 + 386074545218/23115285153*c_1001_7 - 99799310237/23115285153, c_0011_11 - 76678249828/23115285153*c_1001_7^14 + 225318641677/23115285153*c_1001_7^13 - 403571296619/23115285153*c_1001_7^12 + 228279769795/7705095051*c_1001_7^11 - 393875061071/7705095051*c_1001_7^10 + 1567111057796/23115285153*c_1001_7^9 - 1936492476656/23115285153*c_1001_7^8 + 846355423400/7705095051*c_1001_7^7 - 351407926690/2568365017*c_1001_7^6 + 2897506246810/23115285153*c_1001_7^5 - 2610453547573/23115285153*c_1001_7^4 + 2774740565617/23115285153*c_1001_7^3 - 2488784382356/23115285153*c_1001_7^2 + 414260810521/7705095051*c_1001_7 - 222958230116/23115285153, c_0011_3 + 216021236/59729419*c_1001_7^14 - 4999507313/537564771*c_1001_7^13 + 8535722425/537564771*c_1001_7^12 - 14669533025/537564771*c_1001_7^11 + 25367009387/537564771*c_1001_7^10 - 31617027827/537564771*c_1001_7^9 + 13188195152/179188257*c_1001_7^8 - 52448604571/537564771*c_1001_7^7 + 63695121214/537564771*c_1001_7^6 - 53715793252/537564771*c_1001_7^5 + 5692903622/59729419*c_1001_7^4 - 55335046160/537564771*c_1001_7^3 + 46244563717/537564771*c_1001_7^2 - 18221045966/537564771*c_1001_7 + 2530303952/537564771, c_0011_9 + 16057387028/7705095051*c_1001_7^14 - 39117037769/7705095051*c_1001_7^13 + 70254453571/7705095051*c_1001_7^12 - 39781383232/2568365017*c_1001_7^11 + 68198903453/2568365017*c_1001_7^10 - 256239603676/7705095051*c_1001_7^9 + 328929524191/7705095051*c_1001_7^8 - 140164741287/2568365017*c_1001_7^7 + 173617452283/2568365017*c_1001_7^6 - 442884324986/7705095051*c_1001_7^5 + 431418915206/7705095051*c_1001_7^4 - 435547880018/7705095051*c_1001_7^3 + 387726139708/7705095051*c_1001_7^2 - 54396646911/2568365017*c_1001_7 + 18754567801/7705095051, c_0101_0 + 104991859960/23115285153*c_1001_7^14 - 94532439890/7705095051*c_1001_7^13 + 164904519130/7705095051*c_1001_7^12 - 850327237073/23115285153*c_1001_7^11 + 1464235451093/23115285153*c_1001_7^10 - 1876935860341/23115285153*c_1001_7^9 + 2347170018794/23115285153*c_1001_7^8 - 3091189322554/23115285153*c_1001_7^7 + 3788814117289/23115285153*c_1001_7^6 - 3346963685435/23115285153*c_1001_7^5 + 3111181039972/23115285153*c_1001_7^4 - 1108728454393/7705095051*c_1001_7^3 + 951455718866/7705095051*c_1001_7^2 - 1312357015325/23115285153*c_1001_7 + 218283284716/23115285153, c_0101_1 - 1387002940/537564771*c_1001_7^14 + 476009507/59729419*c_1001_7^13 - 875451733/59729419*c_1001_7^12 + 13406121419/537564771*c_1001_7^11 - 23041075910/537564771*c_1001_7^10 + 31213912096/537564771*c_1001_7^9 - 38770490429/537564771*c_1001_7^8 + 50338482709/537564771*c_1001_7^7 - 62894673010/537564771*c_1001_7^6 + 59775632171/537564771*c_1001_7^5 - 53349707926/537564771*c_1001_7^4 + 18503368691/179188257*c_1001_7^3 - 17009891026/179188257*c_1001_7^2 + 28007030741/537564771*c_1001_7 - 5779181701/537564771, c_0101_11 + 104991859960/23115285153*c_1001_7^14 - 94532439890/7705095051*c_1001_7^13 + 164904519130/7705095051*c_1001_7^12 - 850327237073/23115285153*c_1001_7^11 + 1464235451093/23115285153*c_1001_7^10 - 1876935860341/23115285153*c_1001_7^9 + 2347170018794/23115285153*c_1001_7^8 - 3091189322554/23115285153*c_1001_7^7 + 3788814117289/23115285153*c_1001_7^6 - 3346963685435/23115285153*c_1001_7^5 + 3111181039972/23115285153*c_1001_7^4 - 1108728454393/7705095051*c_1001_7^3 + 951455718866/7705095051*c_1001_7^2 - 1312357015325/23115285153*c_1001_7 + 218283284716/23115285153, c_0101_5 + 1387002940/537564771*c_1001_7^14 - 476009507/59729419*c_1001_7^13 + 875451733/59729419*c_1001_7^12 - 13406121419/537564771*c_1001_7^11 + 23041075910/537564771*c_1001_7^10 - 31213912096/537564771*c_1001_7^9 + 38770490429/537564771*c_1001_7^8 - 50338482709/537564771*c_1001_7^7 + 62894673010/537564771*c_1001_7^6 - 59775632171/537564771*c_1001_7^5 + 53349707926/537564771*c_1001_7^4 - 18503368691/179188257*c_1001_7^3 + 17009891026/179188257*c_1001_7^2 - 28007030741/537564771*c_1001_7 + 5779181701/537564771, c_0110_11 + 1657991044/2568365017*c_1001_7^14 - 48629297561/23115285153*c_1001_7^13 + 88506798118/23115285153*c_1001_7^12 - 156284838494/23115285153*c_1001_7^11 + 265278081083/23115285153*c_1001_7^10 - 365638494383/23115285153*c_1001_7^9 + 152126581316/7705095051*c_1001_7^8 - 599148093268/23115285153*c_1001_7^7 + 734717677837/23115285153*c_1001_7^6 - 728243852899/23115285153*c_1001_7^5 + 72043486135/2568365017*c_1001_7^4 - 690874652234/23115285153*c_1001_7^3 + 600280832650/23115285153*c_1001_7^2 - 386074545218/23115285153*c_1001_7 + 99799310237/23115285153, c_1001_10 + 11624026968/2568365017*c_1001_7^14 - 319667876366/23115285153*c_1001_7^13 + 570729389866/23115285153*c_1001_7^12 - 961680840731/23115285153*c_1001_7^11 + 1672804270616/23115285153*c_1001_7^10 - 2232088217117/23115285153*c_1001_7^9 + 909707819600/7705095051*c_1001_7^8 - 3592961472232/23115285153*c_1001_7^7 + 4491161819365/23115285153*c_1001_7^6 - 4117994932684/23115285153*c_1001_7^5 + 406732371014/2568365017*c_1001_7^4 - 3933980147000/23115285153*c_1001_7^3 + 3588710374939/23115285153*c_1001_7^2 - 1728117142451/23115285153*c_1001_7 + 311014953338/23115285153, c_1001_7^15 - 13/4*c_1001_7^14 + 25/4*c_1001_7^13 - 43/4*c_1001_7^12 + 37/2*c_1001_7^11 - 103/4*c_1001_7^10 + 65/2*c_1001_7^9 - 42*c_1001_7^8 + 211/4*c_1001_7^7 - 209/4*c_1001_7^6 + 191/4*c_1001_7^5 - 193/4*c_1001_7^4 + 181/4*c_1001_7^3 - 28*c_1001_7^2 + 37/4*c_1001_7 - 5/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.840 Total time: 1.050 seconds, Total memory usage: 32.09MB