Magma V2.19-8 Tue Aug 20 2013 23:59:38 on localhost [Seed = 1478373657] Type ? for help. Type -D to quit. Loading file "K13n1437__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1437 geometric_solution 11.62427437 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 13 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 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657642077778 0.609919820856 0 5 7 6 0132 0132 0132 0132 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 -11 -1 12 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 0.446524507876 0.402365149219 7 0 5 7 0213 0132 3201 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331066232609 0.733679651774 6 8 9 0 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 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 0.574175995329 0.282158872025 7 10 0 5 1023 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 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 0 0 0 0.504919379572 0.307184148922 2 1 10 4 2310 0132 1230 1023 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 11 -11 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 0.458710285197 1.720932425020 3 11 1 8 0132 0132 0132 3012 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 12 -12 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 0.708626532565 1.266526645008 2 4 2 1 0213 1023 2031 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773343383962 0.579331933560 9 3 6 11 0321 0132 1230 2310 0 0 0 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 0 0 0 -12 0 1 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.727742698304 0.772048425228 8 11 12 3 0321 2310 0132 0132 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 1 0 -1 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689921501415 0.632424254127 12 4 12 5 2103 0132 0213 3012 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 -11 11 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298157695505 0.660376765480 8 6 12 9 3201 0132 1302 3201 0 0 0 0 0 1 0 -1 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 -12 0 12 0 0 1 -1 0 0 0 0 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625836080002 0.366471859850 11 10 10 9 2031 0213 2103 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 -11 11 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432075694515 1.257871326306 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_11']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_1001_5']), 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_0101_5']), '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'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_12']), 'c_0101_10' : d['c_0011_12'], '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_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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_10'], 'c_1100_4' : negation(d['c_0110_10']), 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : negation(d['c_0110_10']), 'c_1100_3' : negation(d['c_0110_10']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_10']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : negation(d['c_1001_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_4'], 'c_1010_6' : negation(d['c_0101_8']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0011_10'], '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_0101_5']), 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : negation(d['c_0110_11']), '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'], 'c_1100_12' : negation(d['c_0110_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' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0101_8']), 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : negation(d['c_0011_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_0011_11'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_11'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_11']})} 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_12, c_0101_0, c_0101_1, c_0101_5, c_0101_8, c_0110_10, c_0110_11, c_0110_4, c_1001_0, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 1832839107533856/2873415221815985*c_1001_5^14 + 305442659849837/410487888830855*c_1001_5^13 + 2776168850740513/574683044363197*c_1001_5^12 + 16365048525501829/2873415221815985*c_1001_5^11 + 28458945484739774/2873415221815985*c_1001_5^10 + 8139724498091496/169024424812705*c_1001_5^9 + 8810062128729035/574683044363197*c_1001_5^8 + 601653212617802558/2873415221815985*c_1001_5^7 + 1297218061687673/11357372418245*c_1001_5^6 + 709060870528054617/2873415221815985*c_1001_5^5 + 405244216606231174/2873415221815985*c_1001_5^4 + 332227212963253506/2873415221815985*c_1001_5^3 + 140594154166304134/2873415221815985*c_1001_5^2 + 53332879994810242/2873415221815985*c_1001_5 + 3907628433404383/2873415221815985, c_0011_0 - 1, c_0011_10 - 3835952552/10859262757*c_1001_5^14 + 80244490/10859262757*c_1001_5^13 - 5160712659/1551323251*c_1001_5^12 + 16124691624/10859262757*c_1001_5^11 - 147654661607/10859262757*c_1001_5^10 - 17572471333/10859262757*c_1001_5^9 - 17264562220/472141859*c_1001_5^8 - 540571745100/10859262757*c_1001_5^7 - 824049175899/10859262757*c_1001_5^6 - 814152512877/10859262757*c_1001_5^5 - 610068435414/10859262757*c_1001_5^4 - 18096655674/472141859*c_1001_5^3 - 147367828525/10859262757*c_1001_5^2 - 49674166767/10859262757*c_1001_5 - 1624341868/1551323251, c_0011_11 - 18077154717/119451890327*c_1001_5^14 - 24042769448/119451890327*c_1001_5^13 - 23803993951/17064555761*c_1001_5^12 - 150842035040/119451890327*c_1001_5^11 - 565650838276/119451890327*c_1001_5^10 - 1007582765828/119451890327*c_1001_5^9 - 1890488466709/119451890327*c_1001_5^8 - 4949659147196/119451890327*c_1001_5^7 - 7026916227813/119451890327*c_1001_5^6 - 763419069893/10859262757*c_1001_5^5 - 7069302788599/119451890327*c_1001_5^4 - 4863961099262/119451890327*c_1001_5^3 - 2717902746423/119451890327*c_1001_5^2 - 674769396123/119451890327*c_1001_5 - 28224108004/17064555761, c_0011_12 - 12332655345/119451890327*c_1001_5^14 - 14768788684/119451890327*c_1001_5^13 - 17444637428/17064555761*c_1001_5^12 - 80979129520/119451890327*c_1001_5^11 - 471354679925/119451890327*c_1001_5^10 - 530301798013/119451890327*c_1001_5^9 - 1629000254670/119451890327*c_1001_5^8 - 3009651056171/119451890327*c_1001_5^7 - 5399298647802/119451890327*c_1001_5^6 - 536236513059/10859262757*c_1001_5^5 - 5432406888301/119451890327*c_1001_5^4 - 3404254013730/119451890327*c_1001_5^3 - 1868654895907/119451890327*c_1001_5^2 - 455797509512/119451890327*c_1001_5 + 4382971799/17064555761, c_0101_0 + 50792628364/119451890327*c_1001_5^14 + 7349781471/119451890327*c_1001_5^13 + 71909059139/17064555761*c_1001_5^12 - 147704427578/119451890327*c_1001_5^11 + 2161877962995/119451890327*c_1001_5^10 + 326942358627/119451890327*c_1001_5^9 + 6365176654082/119451890327*c_1001_5^8 + 7604224340830/119451890327*c_1001_5^7 + 645650582207/5193560449*c_1001_5^6 + 14702400836273/119451890327*c_1001_5^5 + 14036675149444/119451890327*c_1001_5^4 + 9697985807498/119451890327*c_1001_5^3 + 5041714743176/119451890327*c_1001_5^2 + 2031440903785/119451890327*c_1001_5 + 43850992414/17064555761, c_0101_1 + 1480695407/17064555761*c_1001_5^14 + 3289251773/17064555761*c_1001_5^13 + 15509713419/17064555761*c_1001_5^12 + 23816739352/17064555761*c_1001_5^11 + 58437797227/17064555761*c_1001_5^10 + 116811743482/17064555761*c_1001_5^9 + 236157102138/17064555761*c_1001_5^8 + 517231455720/17064555761*c_1001_5^7 + 946546164668/17064555761*c_1001_5^6 + 1147654380017/17064555761*c_1001_5^5 + 1117704621057/17064555761*c_1001_5^4 + 811389654754/17064555761*c_1001_5^3 + 456458950604/17064555761*c_1001_5^2 + 185276849305/17064555761*c_1001_5 + 23962157370/17064555761, c_0101_5 + 6765650989/10859262757*c_1001_5^14 - 321065299/10859262757*c_1001_5^13 + 9205626360/1551323251*c_1001_5^12 - 31103612697/10859262757*c_1001_5^11 + 268773944746/10859262757*c_1001_5^10 + 11819910097/10859262757*c_1001_5^9 + 32110833445/472141859*c_1001_5^8 + 896022664601/10859262757*c_1001_5^7 + 1528009013656/10859262757*c_1001_5^6 + 1396255483457/10859262757*c_1001_5^5 + 1134256854383/10859262757*c_1001_5^4 + 32147648536/472141859*c_1001_5^3 + 283556518935/10859262757*c_1001_5^2 + 94478310273/10859262757*c_1001_5 + 39586917/1551323251, c_0101_8 + 880600173/5193560449*c_1001_5^14 - 15360208207/119451890327*c_1001_5^13 + 28588447203/17064555761*c_1001_5^12 - 230732233639/119451890327*c_1001_5^11 + 930246675543/119451890327*c_1001_5^10 - 564352621440/119451890327*c_1001_5^9 + 2417632565332/119451890327*c_1001_5^8 + 1162163630359/119451890327*c_1001_5^7 + 3237609796165/119451890327*c_1001_5^6 + 1916665331813/119451890327*c_1001_5^5 + 1535559927749/119451890327*c_1001_5^4 + 1084981686617/119451890327*c_1001_5^3 + 62572023705/119451890327*c_1001_5^2 + 272796794951/119451890327*c_1001_5 + 1499062289/17064555761, c_0110_10 + 13066439772/119451890327*c_1001_5^14 - 1557599543/10859262757*c_1001_5^13 + 19129927826/17064555761*c_1001_5^12 - 215259936301/119451890327*c_1001_5^11 + 61275297960/10859262757*c_1001_5^10 - 649972631464/119451890327*c_1001_5^9 + 1698205477609/119451890327*c_1001_5^8 + 2254825289/5193560449*c_1001_5^7 + 1588358217272/119451890327*c_1001_5^6 + 361157828239/119451890327*c_1001_5^5 + 710897985894/119451890327*c_1001_5^4 + 523200081153/119451890327*c_1001_5^3 - 118736711209/119451890327*c_1001_5^2 + 9553581603/10859262757*c_1001_5 - 1858290596/17064555761, c_0110_11 + 12845593781/119451890327*c_1001_5^14 + 619473074/10859262757*c_1001_5^13 + 17494585035/17064555761*c_1001_5^12 + 12123874956/119451890327*c_1001_5^11 + 43379703267/10859262757*c_1001_5^10 + 321785535416/119451890327*c_1001_5^9 + 1399930933131/119451890327*c_1001_5^8 + 2562796345369/119451890327*c_1001_5^7 + 3801601940737/119451890327*c_1001_5^6 + 4497593959091/119451890327*c_1001_5^5 + 3525502748609/119451890327*c_1001_5^4 + 2590131327230/119451890327*c_1001_5^3 + 1052398832321/119451890327*c_1001_5^2 + 39644732226/10859262757*c_1001_5 + 12517159726/17064555761, c_0110_4 + 11247557239/119451890327*c_1001_5^14 + 47604668388/119451890327*c_1001_5^13 + 16736812787/17064555761*c_1001_5^12 + 399116932955/119451890327*c_1001_5^11 + 342353830142/119451890327*c_1001_5^10 + 1808573677858/119451890327*c_1001_5^9 + 1825154839306/119451890327*c_1001_5^8 + 6497399549527/119451890327*c_1001_5^7 + 10202202498413/119451890327*c_1001_5^6 + 14108057726381/119451890327*c_1001_5^5 + 13498979633373/119451890327*c_1001_5^4 + 10303612224159/119451890327*c_1001_5^3 + 6066630543623/119451890327*c_1001_5^2 + 2395532485387/119451890327*c_1001_5 + 66157635442/17064555761, c_1001_0 - 38459973019/119451890327*c_1001_5^14 + 322565531/5193560449*c_1001_5^13 - 54464421711/17064555761*c_1001_5^12 + 228683557098/119451890327*c_1001_5^11 - 1690523283070/119451890327*c_1001_5^10 + 203359439386/119451890327*c_1001_5^9 - 4736176399412/119451890327*c_1001_5^8 - 4594573284659/119451890327*c_1001_5^7 - 859151340269/10859262757*c_1001_5^6 - 8803799192624/119451890327*c_1001_5^5 - 8604268261143/119451890327*c_1001_5^4 - 6293731793768/119451890327*c_1001_5^3 - 3173059847269/119451890327*c_1001_5^2 - 1456191503946/119451890327*c_1001_5 - 48233964213/17064555761, c_1001_5^15 + 10*c_1001_5^13 - 4*c_1001_5^12 + 44*c_1001_5^11 + 3*c_1001_5^10 + 127*c_1001_5^9 + 145*c_1001_5^8 + 283*c_1001_5^7 + 297*c_1001_5^6 + 303*c_1001_5^5 + 243*c_1001_5^4 + 148*c_1001_5^3 + 81*c_1001_5^2 + 29*c_1001_5 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.520 Total time: 4.730 seconds, Total memory usage: 64.12MB