Magma V2.19-8 Wed Aug 21 2013 00:50:57 on localhost [Seed = 256449025] Type ? for help. Type -D to quit. Loading file "L10a88__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a88 geometric_solution 12.60527261 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2031 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 1 0 -1 -1 0 3 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942913159206 0.784589628730 0 4 2 0 0132 0132 2031 1302 1 1 1 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 0 3 0 -3 1 0 -1 0 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373340602201 0.521437694935 3 0 4 1 0213 0132 3201 1302 1 0 1 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 -1 0 1 -2 0 0 2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879195268848 0.653527663795 2 5 0 6 0213 0132 0132 0132 1 1 0 0 0 0 0 0 0 0 1 -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 0 1 -1 0 0 2 -2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437058492558 0.652499659870 2 1 5 6 2310 0132 1230 1230 1 0 0 1 0 -1 1 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 -3 3 0 1 0 0 -1 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758008113641 0.878599338991 7 3 8 4 0132 0132 0132 3012 1 1 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 0 0 0 3 0 0 -3 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551383797691 0.813040831058 4 7 3 8 3012 0132 0132 0132 1 1 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 -1 1 0 0 0 2 -2 1 0 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551383797691 0.813040831058 5 6 10 9 0132 0132 0132 0132 1 1 0 0 0 0 0 0 -1 0 0 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 1 -1 0 -3 0 0 3 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618031490663 0.929904310477 10 9 6 5 0132 0132 0132 0132 1 1 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 -2 0 2 0 -2 0 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618031490663 0.929904310477 11 8 7 12 0132 0132 0132 0132 1 1 0 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 0 0 0 0 -3 3 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536643600638 1.086512978927 8 12 11 7 0132 0132 0132 0132 1 1 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 -1 1 2 0 -2 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536643600638 1.086512978927 9 12 12 10 0132 1023 0132 0132 1 1 0 0 0 0 0 0 0 0 -1 1 -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 -1 0 1 0 0 -2 2 -3 1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026032009288 0.780517964815 11 10 9 11 1023 0132 0132 0132 1 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 0 0 0 0 0 1 0 -3 2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026032009288 0.780517964815 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_12'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_1001_5'], 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : d['c_1001_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : 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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_1001_4']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_5'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_5'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : 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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_10'], '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' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_0101_10'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_7'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_0101_7, c_1001_12, c_1001_4, c_1001_5, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 18056285136682531971651/5050116720981353792*c_1100_10^18 - 58474672781840994347217/2525058360490676896*c_1100_10^17 - 570820046493369608746279/5050116720981353792*c_1100_10^16 - 30603195130731246945061/78908073765333653*c_1100_10^15 - 3189654042449005159755879/2525058360490676896*c_1100_10^14 - 2151712394688384017109489/631264590122669224*c_1100_10^13 - 2371900842388523936492539/315632295061334612*c_1100_10^12 - 33149751218364384828526523/2525058360490676896*c_1100_10^11 - 93803091125699099784194085/5050116720981353792*c_1100_10^10 - 53954894587439865499326863/2525058360490676896*c_1100_10^9 - 100675410772071496196617415/5050116720981353792*c_1100_10^8 - 37000538123669717911456979/2525058360490676896*c_1100_10^7 - 41904656953959291357676181/5050116720981353792*c_1100_10^6 - 4382673478643679863372025/1262529180245338448*c_1100_10^5 - 1262986625124293316271043/1262529180245338448*c_1100_10^4 - 374423085244444605339393/2525058360490676896*c_1100_10^3 - 36551576478678076595459/5050116720981353792*c_1100_10^2 - 19268891635413344758859/2525058360490676896*c_1100_10 - 34453059943269019044563/5050116720981353792, c_0011_0 - 1, c_0011_10 + 145358808352559097/157816147530667306*c_1100_10^18 + 926187993648173911/157816147530667306*c_1100_10^17 + 2241683702391729378/78908073765333653*c_1100_10^16 + 7610320753152505534/78908073765333653*c_1100_10^15 + 24701594602839359458/78908073765333653*c_1100_10^14 + 132313637239965834259/157816147530667306*c_1100_10^13 + 288098675583016185173/157816147530667306*c_1100_10^12 + 494892178800681591139/157816147530667306*c_1100_10^11 + 686142881233479236991/157816147530667306*c_1100_10^10 + 771383815220567159817/157816147530667306*c_1100_10^9 + 349458907194341029846/78908073765333653*c_1100_10^8 + 246797137535369722099/78908073765333653*c_1100_10^7 + 264373664590975606303/157816147530667306*c_1100_10^6 + 51428209587760678676/78908073765333653*c_1100_10^5 + 12989894425375759392/78908073765333653*c_1100_10^4 + 1378999252882340507/78908073765333653*c_1100_10^3 + 85479697754844371/157816147530667306*c_1100_10^2 + 346997991084871131/78908073765333653*c_1100_10 + 154282570950681981/157816147530667306, c_0011_3 + 115655655044662338/78908073765333653*c_1100_10^18 + 689418366641836100/78908073765333653*c_1100_10^17 + 3283369205924079161/78908073765333653*c_1100_10^16 + 10761560948810799217/78908073765333653*c_1100_10^15 + 34890442413267896427/78908073765333653*c_1100_10^14 + 90985962461697297794/78908073765333653*c_1100_10^13 + 191987384637112682291/78908073765333653*c_1100_10^12 + 315470669970794390897/78908073765333653*c_1100_10^11 + 418057297588718110183/78908073765333653*c_1100_10^10 + 446106882618161792183/78908073765333653*c_1100_10^9 + 380107640654943798371/78908073765333653*c_1100_10^8 + 247001391162020658665/78908073765333653*c_1100_10^7 + 120828178137801265699/78908073765333653*c_1100_10^6 + 43085623913455008436/78908073765333653*c_1100_10^5 + 10547741719299938704/78908073765333653*c_1100_10^4 + 1801203136818803164/78908073765333653*c_1100_10^3 + 716056498494155665/78908073765333653*c_1100_10^2 + 273508190995663572/78908073765333653*c_1100_10 + 53372396701050349/78908073765333653, c_0101_0 - 1, c_0101_10 + 149581911931756569/157816147530667306*c_1100_10^18 + 900831857965816199/157816147530667306*c_1100_10^17 + 2147289500938108449/78908073765333653*c_1100_10^16 + 7070631716768119896/78908073765333653*c_1100_10^15 + 22899367716951152519/78908073765333653*c_1100_10^14 + 59932262980014446792/78908073765333653*c_1100_10^13 + 253619357845780498441/157816147530667306*c_1100_10^12 + 418355627341869816457/157816147530667306*c_1100_10^11 + 277691948821450033176/78908073765333653*c_1100_10^10 + 593205842793213358293/157816147530667306*c_1100_10^9 + 504091335206708684187/157816147530667306*c_1100_10^8 + 324436698836944503377/157816147530667306*c_1100_10^7 + 152971589160257038401/157816147530667306*c_1100_10^6 + 48770136533500021657/157816147530667306*c_1100_10^5 + 7268420187103156379/157816147530667306*c_1100_10^4 - 1503858920477680567/157816147530667306*c_1100_10^3 - 294677165234660736/78908073765333653*c_1100_10^2 + 183617150060940305/157816147530667306*c_1100_10 + 42173977869122449/78908073765333653, c_0101_11 + 2696285733/2146178119*c_1100_10^18 + 36760934433/4292356238*c_1100_10^17 + 180365665165/4292356238*c_1100_10^16 + 315592540029/2146178119*c_1100_10^15 + 1024189619239/2146178119*c_1100_10^14 + 2803604966568/2146178119*c_1100_10^13 + 12493540028727/4292356238*c_1100_10^12 + 11063578714104/2146178119*c_1100_10^11 + 15771131555367/2146178119*c_1100_10^10 + 36532248848145/4292356238*c_1100_10^9 + 17087494074801/2146178119*c_1100_10^8 + 12556312607586/2146178119*c_1100_10^7 + 14002070822557/4292356238*c_1100_10^6 + 2850338182738/2146178119*c_1100_10^5 + 1540204561295/4292356238*c_1100_10^4 + 91654158018/2146178119*c_1100_10^3 - 5786855742/2146178119*c_1100_10^2 + 14305873503/4292356238*c_1100_10 + 10920643469/4292356238, c_0101_4 + 154282570950681981/157816147530667306*c_1100_10^18 + 467309594151107385/78908073765333653*c_1100_10^17 + 2236850994812847712/78908073765333653*c_1100_10^16 + 14801953964051788869/157816147530667306*c_1100_10^15 + 24017606291737300571/78908073765333653*c_1100_10^14 + 63085188268098687731/78908073765333653*c_1100_10^13 + 268821047231807316341/157816147530667306*c_1100_10^12 + 447829187851736864197/157816147530667306*c_1100_10^11 + 301259874185759669857/78908073765333653*c_1100_10^10 + 327209188878498247959/78908073765333653*c_1100_10^9 + 285051569597806332489/78908073765333653*c_1100_10^8 + 382140160262746581175/157816147530667306*c_1100_10^7 + 194043143656450145119/157816147530667306*c_1100_10^6 + 35904028755280215148/78908073765333653*c_1100_10^5 + 9050558224906657876/78908073765333653*c_1100_10^4 + 1358384673037664841/78908073765333653*c_1100_10^3 + 790500626101004549/157816147530667306*c_1100_10^2 + 188684007548600786/78908073765333653*c_1100_10 - 73332121787029013/157816147530667306, c_0101_6 - 154282570950681981/157816147530667306*c_1100_10^18 - 467309594151107385/78908073765333653*c_1100_10^17 - 2236850994812847712/78908073765333653*c_1100_10^16 - 14801953964051788869/157816147530667306*c_1100_10^15 - 24017606291737300571/78908073765333653*c_1100_10^14 - 63085188268098687731/78908073765333653*c_1100_10^13 - 268821047231807316341/157816147530667306*c_1100_10^12 - 447829187851736864197/157816147530667306*c_1100_10^11 - 301259874185759669857/78908073765333653*c_1100_10^10 - 327209188878498247959/78908073765333653*c_1100_10^9 - 285051569597806332489/78908073765333653*c_1100_10^8 - 382140160262746581175/157816147530667306*c_1100_10^7 - 194043143656450145119/157816147530667306*c_1100_10^6 - 35904028755280215148/78908073765333653*c_1100_10^5 - 9050558224906657876/78908073765333653*c_1100_10^4 - 1358384673037664841/78908073765333653*c_1100_10^3 - 790500626101004549/157816147530667306*c_1100_10^2 - 188684007548600786/78908073765333653*c_1100_10 + 73332121787029013/157816147530667306, c_0101_7 - 25444676122395317/157816147530667306*c_1100_10^18 - 51913285473132440/78908073765333653*c_1100_10^17 - 423017915350725675/157816147530667306*c_1100_10^16 - 472974519661809233/78908073765333653*c_1100_10^15 - 1466682274508396709/78908073765333653*c_1100_10^14 - 2393421388200974168/78908073765333653*c_1100_10^13 - 1929948118708732827/157816147530667306*c_1100_10^12 + 15904100422864328797/157816147530667306*c_1100_10^11 + 49057503710551354713/157816147530667306*c_1100_10^10 + 43659827351700067887/78908073765333653*c_1100_10^9 + 56134426274886327410/78908073765333653*c_1100_10^8 + 107898308224766862315/157816147530667306*c_1100_10^7 + 36566283531320911292/78908073765333653*c_1100_10^6 + 16259901187888504591/78908073765333653*c_1100_10^5 + 8513050483037316141/157816147530667306*c_1100_10^4 - 278070922912241831/157816147530667306*c_1100_10^3 - 963664448241258011/157816147530667306*c_1100_10^2 - 22058955945385050/78908073765333653*c_1100_10 + 156445357124850447/157816147530667306, c_1001_12 + 149581911931756569/157816147530667306*c_1100_10^18 + 900831857965816199/157816147530667306*c_1100_10^17 + 2147289500938108449/78908073765333653*c_1100_10^16 + 7070631716768119896/78908073765333653*c_1100_10^15 + 22899367716951152519/78908073765333653*c_1100_10^14 + 59932262980014446792/78908073765333653*c_1100_10^13 + 253619357845780498441/157816147530667306*c_1100_10^12 + 418355627341869816457/157816147530667306*c_1100_10^11 + 277691948821450033176/78908073765333653*c_1100_10^10 + 593205842793213358293/157816147530667306*c_1100_10^9 + 504091335206708684187/157816147530667306*c_1100_10^8 + 324436698836944503377/157816147530667306*c_1100_10^7 + 152971589160257038401/157816147530667306*c_1100_10^6 + 48770136533500021657/157816147530667306*c_1100_10^5 + 7268420187103156379/157816147530667306*c_1100_10^4 - 1503858920477680567/157816147530667306*c_1100_10^3 - 294677165234660736/78908073765333653*c_1100_10^2 + 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