Magma V2.19-8 Tue Aug 20 2013 17:58:18 on localhost [Seed = 3153727457] Type ? for help. Type -D to quit. Loading file "10^2_79__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_79 geometric_solution 11.67700727 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 -1 -1 0 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 0.741677464124 1.606084246278 0 5 4 6 0132 0132 0213 0132 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 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 0 0 0 -0.056296840511 0.828186532871 7 0 8 4 0132 0132 0132 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.194783750111 1.049430684536 9 10 10 0 0132 0132 0321 0132 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 2 -1 -1 0 0 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.138104630625 0.756079382618 7 1 0 2 3120 0213 0132 0213 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 1 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.753565743975 0.622707518922 7 1 11 8 1023 0132 0132 0321 1 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 1 -1 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445530129840 0.958994534837 11 12 1 8 0213 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577173726421 0.518382778381 2 5 8 4 0132 1023 3201 3120 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 -8 7 1 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 0.492398798055 0.348664675149 7 5 6 2 2310 0321 0132 0132 1 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 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555226657292 0.800624925493 3 10 11 12 0132 0321 0213 0213 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 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 0.375823427567 0.874925582057 12 3 3 9 0132 0132 0321 0321 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 -2 1 1 0 0 1 -1 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.138104630625 0.756079382618 6 9 12 5 0213 0213 0321 0132 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 0 0 0 0 0 0 0 -1 0 1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.228141797012 1.265431755337 10 6 11 9 0132 0132 0321 0213 1 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 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747714868899 0.351095763195 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_10'], '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' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_1001_5'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1001_12'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : d['c_1010_4'], 'c_1100_1' : d['c_1010_4'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_1010_4'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1001_12'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1010_4'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_1001_1'], 'c_1100_8' : d['c_1010_4'], '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0011_4'], 'c_0101_7' : negation(d['c_0101_2']), 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_5'])})} 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_11, c_0011_4, c_0101_10, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_11, c_1001_12, c_1001_5, c_1010_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 292841651576785/2423413504256*c_1010_4^14 + 3303120546287313/2423413504256*c_1010_4^13 - 6499554456106789/1211706752128*c_1010_4^12 + 29113545166507179/2423413504256*c_1010_4^11 - 20535246559775553/1211706752128*c_1010_4^10 + 20514332657065865/1211706752128*c_1010_4^9 - 15125301843609517/1211706752128*c_1010_4^8 + 32406061857763143/2423413504256*c_1010_4^7 - 31607032524569211/2423413504256*c_1010_4^6 + 2613777505077801/1211706752128*c_1010_4^5 + 3283495665019151/605853376064*c_1010_4^4 - 6611072164982741/2423413504256*c_1010_4^3 - 61318062901883/75731672008*c_1010_4^2 + 593783521539325/1211706752128*c_1010_4 + 291479338446829/2423413504256, c_0011_0 - 1, c_0011_10 + 69240911540/9466459001*c_1010_4^14 - 783825238600/9466459001*c_1010_4^13 + 3140282570473/9466459001*c_1010_4^12 - 7389964049967/9466459001*c_1010_4^11 + 11410956861196/9466459001*c_1010_4^10 - 13145348090701/9466459001*c_1010_4^9 + 11683232168039/9466459001*c_1010_4^8 - 12080414322866/9466459001*c_1010_4^7 + 10879878046504/9466459001*c_1010_4^6 - 5253100546753/9466459001*c_1010_4^5 + 80735572472/9466459001*c_1010_4^4 + 1320389243863/9466459001*c_1010_4^3 - 575704029935/9466459001*c_1010_4^2 + 82349278829/9466459001*c_1010_4 + 71586045242/9466459001, c_0011_11 + 31476454850/9466459001*c_1010_4^14 - 353450111746/9466459001*c_1010_4^13 + 1391748311650/9466459001*c_1010_4^12 - 3191411165243/9466459001*c_1010_4^11 + 4725327276819/9466459001*c_1010_4^10 - 5121648095829/9466459001*c_1010_4^9 + 4144017224274/9466459001*c_1010_4^8 - 4240114753191/9466459001*c_1010_4^7 + 3705541167340/9466459001*c_1010_4^6 - 1171891807204/9466459001*c_1010_4^5 - 881749965268/9466459001*c_1010_4^4 + 1047111869658/9466459001*c_1010_4^3 - 335899634987/9466459001*c_1010_4^2 + 8526770920/9466459001*c_1010_4 + 59122245345/9466459001, c_0011_4 + 5144016669/9466459001*c_1010_4^14 - 52214797838/9466459001*c_1010_4^13 + 164021651443/9466459001*c_1010_4^12 - 261452044720/9466459001*c_1010_4^11 + 136191198568/9466459001*c_1010_4^10 + 202893985691/9466459001*c_1010_4^9 - 613420263498/9466459001*c_1010_4^8 + 565509835851/9466459001*c_1010_4^7 - 709051540737/9466459001*c_1010_4^6 + 1011130817862/9466459001*c_1010_4^5 - 915158669189/9466459001*c_1010_4^4 + 429535038921/9466459001*c_1010_4^3 - 73172955209/9466459001*c_1010_4^2 - 29394402500/9466459001*c_1010_4 + 23445772117/9466459001, c_0101_10 + 281295204111/9466459001*c_1010_4^14 - 3178186868463/9466459001*c_1010_4^13 + 12703168881099/9466459001*c_1010_4^12 - 29905473278019/9466459001*c_1010_4^11 + 46287581715156/9466459001*c_1010_4^10 - 53654551571770/9466459001*c_1010_4^9 + 48072990404886/9466459001*c_1010_4^8 - 50000179436081/9466459001*c_1010_4^7 + 44799412476339/9466459001*c_1010_4^6 - 22420210296096/9466459001*c_1010_4^5 + 1399107832845/9466459001*c_1010_4^4 + 4725190439237/9466459001*c_1010_4^3 - 2169671525387/9466459001*c_1010_4^2 + 308217085718/9466459001*c_1010_4 + 277785815665/9466459001, c_0101_2 - 4369385521/9466459001*c_1010_4^14 + 56396434176/9466459001*c_1010_4^13 - 279256587490/9466459001*c_1010_4^12 + 811200673927/9466459001*c_1010_4^11 - 1589331721147/9466459001*c_1010_4^10 + 2297791049861/9466459001*c_1010_4^9 - 2603822716662/9466459001*c_1010_4^8 + 2632581777204/9466459001*c_1010_4^7 - 2599809208998/9466459001*c_1010_4^6 + 2142338187149/9466459001*c_1010_4^5 - 1216093291385/9466459001*c_1010_4^4 + 384395610743/9466459001*c_1010_4^3 - 12914452695/9466459001*c_1010_4^2 - 38229698947/9466459001*c_1010_4 + 18301755448/9466459001, c_0101_5 - 19076386596/9466459001*c_1010_4^14 + 219808814559/9466459001*c_1010_4^13 - 911154536873/9466459001*c_1010_4^12 + 2236848454659/9466459001*c_1010_4^11 - 3658972681628/9466459001*c_1010_4^10 + 4505966298203/9466459001*c_1010_4^9 - 4351453638725/9466459001*c_1010_4^8 + 4475317362703/9466459001*c_1010_4^7 - 4155384465741/9466459001*c_1010_4^6 + 2575940385595/9466459001*c_1010_4^5 - 779759955391/9466459001*c_1010_4^4 - 55381244479/9466459001*c_1010_4^3 + 122632172465/9466459001*c_1010_4^2 - 29271978546/9466459001*c_1010_4 - 12353125065/9466459001, c_1001_0 - 1, c_1001_1 + 5599176482/9466459001*c_1010_4^14 - 63518427668/9466459001*c_1010_4^13 + 255281440390/9466459001*c_1010_4^12 - 601669612300/9466459001*c_1010_4^11 + 928996826268/9466459001*c_1010_4^10 - 1065629547419/9466459001*c_1010_4^9 + 938789197674/9466459001*c_1010_4^8 - 961953989896/9466459001*c_1010_4^7 + 869453534422/9466459001*c_1010_4^6 - 412153916805/9466459001*c_1010_4^5 - 14804915573/9466459001*c_1010_4^4 + 123652135979/9466459001*c_1010_4^3 - 50360284130/9466459001*c_1010_4^2 - 11700917871/9466459001*c_1010_4 + 11578493917/9466459001, c_1001_11 - 34641722001/9466459001*c_1010_4^14 + 382531268564/9466459001*c_1010_4^13 - 1464219882171/9466459001*c_1010_4^12 + 3280300117675/9466459001*c_1010_4^11 - 4735146950278/9466459001*c_1010_4^10 + 5063267269333/9466459001*c_1010_4^9 - 4036881052122/9466459001*c_1010_4^8 + 4356437783039/9466459001*c_1010_4^7 - 3614737932548/9466459001*c_1010_4^6 + 1054639727269/9466459001*c_1010_4^5 + 860788548906/9466459001*c_1010_4^4 - 904085894237/9466459001*c_1010_4^3 + 243787975751/9466459001*c_1010_4^2 + 17527124300/9466459001*c_1010_4 - 61954776637/9466459001, c_1001_12 - 1, c_1001_5 + 7232000131/9466459001*c_1010_4^14 - 80804684137/9466459001*c_1010_4^13 + 313471684089/9466459001*c_1010_4^12 - 695923708404/9466459001*c_1010_4^11 + 970217416846/9466459001*c_1010_4^10 - 950392406849/9466459001*c_1010_4^9 + 650208211983/9466459001*c_1010_4^8 - 673076533284/9466459001*c_1010_4^7 + 602748407145/9466459001*c_1010_4^6 - 11357152631/9466459001*c_1010_4^5 - 394571003078/9466459001*c_1010_4^4 + 269747746557/9466459001*c_1010_4^3 - 15330706640/9466459001*c_1010_4^2 - 39434480195/9466459001*c_1010_4 + 19110679372/9466459001, c_1010_4^15 - 12*c_1010_4^14 + 53*c_1010_4^13 - 137*c_1010_4^12 + 235*c_1010_4^11 - 296*c_1010_4^10 + 288*c_1010_4^9 - 277*c_1010_4^8 + 264*c_1010_4^7 - 171*c_1010_4^6 + 42*c_1010_4^5 + 25*c_1010_4^4 - 23*c_1010_4^3 + 6*c_1010_4^2 + c_1010_4 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB