Magma V2.19-8 Tue Aug 20 2013 23:43:45 on localhost [Seed = 2017336686] Type ? for help. Type -D to quit. Loading file "K13n1529__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1529 geometric_solution 10.49153604 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.144528984896 1.111001803639 0 4 6 5 0132 0132 0132 0132 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 1 0 -1 1 0 -5 4 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153358158789 0.493785607753 6 0 0 7 0213 0132 1230 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 1 -1 0 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 1.324894766711 1.234923719190 8 9 6 0 0132 0132 2310 0132 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 0 0 0 0.720667535622 1.032035055982 6 1 10 9 2031 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756169871006 0.732265315074 7 8 1 9 1302 2310 0132 1302 0 0 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 1 -1 0 0 -4 4 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463637481119 0.961929197731 2 3 4 1 0213 3201 1302 0132 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 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.511639432791 0.978736108651 11 5 2 11 0132 2031 0132 2103 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 1 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854323281832 0.971318947973 3 10 11 5 0132 0132 0213 3201 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 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.613722358761 0.662932475132 10 3 5 4 0132 0132 2031 2103 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 -1 0 1 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 -0.364622196995 1.306121622620 9 8 11 4 0132 0132 3120 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 1 -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 0.258207484899 0.594861741933 7 8 10 7 0132 0213 3120 2103 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 -1 0 1 0 0 0 0 0 5 -4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854323281832 0.971318947973 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : negation(d['c_1001_10']), 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0110_5']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0110_5']), 'c_1001_8' : negation(d['c_1001_10']), 'c_1010_11' : negation(d['c_0011_5']), 'c_1010_10' : negation(d['c_1001_10']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : 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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_3'], 'c_1100_8' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_0101_4'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0101_1'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_3']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_0110_5']), 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_1001_10'], 's_3_1' : 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'], '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_1']), 'c_0110_10' : d['c_0101_4'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0011_11'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_6'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_3'], '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_1']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_10'], '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_5, c_0011_6, c_0101_1, c_0101_10, c_0101_3, c_0101_4, c_0110_5, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 1192560440719809/316864834909837*c_1001_10^15 - 3935816558922236/316864834909837*c_1001_10^14 - 152986362537094/7728410607557*c_1001_10^13 - 30930064768449790/316864834909837*c_1001_10^12 + 8862192581514167/316864834909837*c_1001_10^11 - 77387590684018355/316864834909837*c_1001_10^10 + 15746117937252981/316864834909837*c_1001_10^9 - 164265165505697518/316864834909837*c_1001_10^8 + 85467823145247009/316864834909837*c_1001_10^7 - 115742929575919392/316864834909837*c_1001_10^6 - 35353164409518232/316864834909837*c_1001_10^5 + 51611554889860642/316864834909837*c_1001_10^4 - 121359888980981355/316864834909837*c_1001_10^3 + 57131457064103730/316864834909837*c_1001_10^2 - 40856299683482781/316864834909837*c_1001_10 + 8231072008488815/316864834909837, c_0011_0 - 1, c_0011_10 + 1470968519049/7728410607557*c_1001_10^15 + 3934625540520/7728410607557*c_1001_10^14 + 6709893534411/7728410607557*c_1001_10^13 + 6132447311215/7728410607557*c_1001_10^12 + 14341426649298/7728410607557*c_1001_10^11 + 37424671325162/7728410607557*c_1001_10^10 + 904802176095/7728410607557*c_1001_10^9 + 64557766587115/7728410607557*c_1001_10^8 - 54676248447950/7728410607557*c_1001_10^7 + 182479558040987/7728410607557*c_1001_10^6 - 152053548422898/7728410607557*c_1001_10^5 + 132594235218215/7728410607557*c_1001_10^4 - 31983304199003/7728410607557*c_1001_10^3 + 14382267930523/7728410607557*c_1001_10^2 - 2019475941682/7728410607557*c_1001_10 + 3309264057440/7728410607557, c_0011_11 - 19211983480536/7728410607557*c_1001_10^15 - 7618024284905/7728410607557*c_1001_10^14 - 64552737976488/7728410607557*c_1001_10^13 + 96328649012423/7728410607557*c_1001_10^12 - 335784945924464/7728410607557*c_1001_10^11 + 371780125946883/7728410607557*c_1001_10^10 - 764550211847183/7728410607557*c_1001_10^9 + 1086726272192427/7728410607557*c_1001_10^8 - 1493273962913823/7728410607557*c_1001_10^7 + 1284643075412370/7728410607557*c_1001_10^6 - 895046128634728/7728410607557*c_1001_10^5 + 363669859335815/7728410607557*c_1001_10^4 - 107945408329786/7728410607557*c_1001_10^3 - 4451522597284/7728410607557*c_1001_10^2 - 4399940819624/7728410607557*c_1001_10 + 6223124390372/7728410607557, c_0011_5 - 17082508315515/7728410607557*c_1001_10^15 - 14267081688011/7728410607557*c_1001_10^14 - 62296909445280/7728410607557*c_1001_10^13 + 58574274169398/7728410607557*c_1001_10^12 - 268842683448114/7728410607557*c_1001_10^11 + 203791751668730/7728410607557*c_1001_10^10 - 567838414576823/7728410607557*c_1001_10^9 + 684398172745603/7728410607557*c_1001_10^8 - 973184033259247/7728410607557*c_1001_10^7 + 624074689291274/7728410607557*c_1001_10^6 - 411555279026550/7728410607557*c_1001_10^5 + 31065318470989/7728410607557*c_1001_10^4 - 4372548997665/7728410607557*c_1001_10^3 - 41796462231096/7728410607557*c_1001_10^2 - 16010032161697/7728410607557*c_1001_10 + 2792283309768/7728410607557, c_0011_6 - 2983124492079/7728410607557*c_1001_10^15 + 8962974345190/7728410607557*c_1001_10^14 - 144890322392/7728410607557*c_1001_10^13 + 53514369522962/7728410607557*c_1001_10^12 - 85997370325114/7728410607557*c_1001_10^11 + 206664486022752/7728410607557*c_1001_10^10 - 239865367378248/7728410607557*c_1001_10^9 + 497052029739219/7728410607557*c_1001_10^8 - 659212409772684/7728410607557*c_1001_10^7 + 739877542123434/7728410607557*c_1001_10^6 - 573852359147492/7728410607557*c_1001_10^5 + 358776257440907/7728410607557*c_1001_10^4 - 169806779579145/7728410607557*c_1001_10^3 + 45566644463939/7728410607557*c_1001_10^2 - 25891377062600/7728410607557*c_1001_10 - 2582833566089/7728410607557, c_0101_1 - 2430151294080/7728410607557*c_1001_10^15 - 6792956014594/7728410607557*c_1001_10^14 - 12985243442387/7728410607557*c_1001_10^13 - 9489902639942/7728410607557*c_1001_10^12 - 20935167958885/7728410607557*c_1001_10^11 - 43509934429230/7728410607557*c_1001_10^10 - 16269796110149/7728410607557*c_1001_10^9 - 63830788385291/7728410607557*c_1001_10^8 + 76444819667184/7728410607557*c_1001_10^7 - 186693201294503/7728410607557*c_1001_10^6 + 173190371206210/7728410607557*c_1001_10^5 - 151969377229297/7728410607557*c_1001_10^4 + 74453921823187/7728410607557*c_1001_10^3 - 26002504749985/7728410607557*c_1001_10^2 + 9698590788007/7728410607557*c_1001_10 - 4833046729958/7728410607557, c_0101_10 - 2654794019370/7728410607557*c_1001_10^15 + 4734410389628/7728410607557*c_1001_10^14 - 5701350068259/7728410607557*c_1001_10^13 + 34687970579054/7728410607557*c_1001_10^12 - 69901151850112/7728410607557*c_1001_10^11 + 154700935644190/7728410607557*c_1001_10^10 - 202709631600564/7728410607557*c_1001_10^9 + 384206077346192/7728410607557*c_1001_10^8 - 498906521386660/7728410607557*c_1001_10^7 + 616753464399820/7728410607557*c_1001_10^6 - 469404040369228/7728410607557*c_1001_10^5 + 309121174803814/7728410607557*c_1001_10^4 - 84245005314562/7728410607557*c_1001_10^3 + 21412727967833/7728410607557*c_1001_10^2 + 13361628228715/7728410607557*c_1001_10 + 2600407536223/7728410607557, c_0101_3 + 848829999279/7728410607557*c_1001_10^15 - 3352671548570/7728410607557*c_1001_10^14 + 1940175965430/7728410607557*c_1001_10^13 - 18580854426569/7728410607557*c_1001_10^12 + 29905389269428/7728410607557*c_1001_10^11 - 96936377823876/7728410607557*c_1001_10^10 + 107286822897412/7728410607557*c_1001_10^9 - 234511162369818/7728410607557*c_1001_10^8 + 279683350947854/7728410607557*c_1001_10^7 - 433333010073683/7728410607557*c_1001_10^6 + 331074404109789/7728410607557*c_1001_10^5 - 260466649416455/7728410607557*c_1001_10^4 + 85765282648202/7728410607557*c_1001_10^3 - 37413946544236/7728410607557*c_1001_10^2 - 10090598591613/7728410607557*c_1001_10 + 1083037802261/7728410607557, c_0101_4 + 4735340532546/7728410607557*c_1001_10^15 + 3498933656822/7728410607557*c_1001_10^14 + 14102842152219/7728410607557*c_1001_10^13 - 18723519304196/7728410607557*c_1001_10^12 + 70013637241229/7728410607557*c_1001_10^11 - 44771812894687/7728410607557*c_1001_10^10 + 125044982246290/7728410607557*c_1001_10^9 - 153925699053537/7728410607557*c_1001_10^8 + 213235890850386/7728410607557*c_1001_10^7 - 51852068805919/7728410607557*c_1001_10^6 - 17201258273820/7728410607557*c_1001_10^5 + 92076021438334/7728410607557*c_1001_10^4 - 32584898118275/7728410607557*c_1001_10^3 + 18926280491443/7728410607557*c_1001_10^2 + 9076863267293/7728410607557*c_1001_10 - 602626818728/7728410607557, c_0110_5 + 7569770438835/7728410607557*c_1001_10^15 + 15242714880324/7728410607557*c_1001_10^14 + 35416142244059/7728410607557*c_1001_10^13 + 4542439661671/7728410607557*c_1001_10^12 + 85709970258297/7728410607557*c_1001_10^11 + 37936347938763/7728410607557*c_1001_10^10 + 150169294903425/7728410607557*c_1001_10^9 - 42927314416250/7728410607557*c_1001_10^8 + 79060786869229/7728410607557*c_1001_10^7 + 155778069856059/7728410607557*c_1001_10^6 - 98482312658927/7728410607557*c_1001_10^5 + 126611320773610/7728410607557*c_1001_10^4 - 27643482339455/7728410607557*c_1001_10^3 + 22209346278918/7728410607557*c_1001_10^2 + 4100685083569/7728410607557*c_1001_10 + 11100011871219/7728410607557, c_1001_1 + 848829999279/7728410607557*c_1001_10^15 - 3352671548570/7728410607557*c_1001_10^14 + 1940175965430/7728410607557*c_1001_10^13 - 18580854426569/7728410607557*c_1001_10^12 + 29905389269428/7728410607557*c_1001_10^11 - 96936377823876/7728410607557*c_1001_10^10 + 107286822897412/7728410607557*c_1001_10^9 - 234511162369818/7728410607557*c_1001_10^8 + 279683350947854/7728410607557*c_1001_10^7 - 433333010073683/7728410607557*c_1001_10^6 + 331074404109789/7728410607557*c_1001_10^5 - 260466649416455/7728410607557*c_1001_10^4 + 85765282648202/7728410607557*c_1001_10^3 - 37413946544236/7728410607557*c_1001_10^2 - 10090598591613/7728410607557*c_1001_10 + 1083037802261/7728410607557, c_1001_10^16 + 1/3*c_1001_10^15 + 11/3*c_1001_10^14 - 5*c_1001_10^13 + 19*c_1001_10^12 - 65/3*c_1001_10^11 + 140/3*c_1001_10^10 - 191/3*c_1001_10^9 + 280/3*c_1001_10^8 - 259/3*c_1001_10^7 + 218/3*c_1001_10^6 - 110/3*c_1001_10^5 + 50/3*c_1001_10^4 - 4/3*c_1001_10^3 + 2/3*c_1001_10^2 + 2/3*c_1001_10 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.170 Total time: 1.379 seconds, Total memory usage: 64.12MB