Magma V2.19-8 Tue Aug 20 2013 23:46:28 on localhost [Seed = 1831536505] Type ? for help. Type -D to quit. Loading file "K14n18935__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18935 geometric_solution 10.15337293 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 11 0 -12 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 1.033959761260 0.577563738789 0 2 6 5 0132 3201 0132 0132 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 -11 0 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 -0.419075956928 0.941907540681 6 0 1 5 2103 0132 2310 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.507803067920 0.404976355667 7 8 7 0 0132 0132 3012 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 1 0 -1 0 0 -12 12 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.112883303303 0.533081692898 8 5 0 9 2103 3120 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 1 -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 0.936730991118 0.760864775277 10 4 1 2 0132 3120 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220696894430 0.564772086419 11 10 2 1 0132 3201 2103 0132 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 11 0 0 -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 0.411494530118 1.577347699320 3 3 10 9 0132 1230 0132 2310 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 -11 -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 -0.380182492175 1.795379127018 11 3 4 9 2103 0132 2103 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772495637087 0.454385325578 7 11 4 8 3201 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038246143225 0.565707841386 5 11 6 7 0132 1302 2310 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 0 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 0 0 0 0.262854026127 0.411765332323 6 9 8 10 0132 0132 2103 2031 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 -11 0 0 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 0.936730991118 0.760864775277 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_3']), 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0110_8'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0110_8'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_0'], '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' : negation(d['c_0110_8']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_2']), 'c_1100_4' : negation(d['c_0110_8']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0110_2']), 'c_1100_1' : negation(d['c_0110_2']), 'c_1100_0' : negation(d['c_0110_8']), 'c_1100_3' : negation(d['c_0110_8']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_8']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_3']), 'c_1010_8' : d['c_0011_3'], 'c_1100_8' : d['c_0101_3'], '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_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0101_1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_3']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1']})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_2, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 7001614306902678028043447/3961477378801367420160*c_1001_2^7 + 5893183438453994091319/5040047555726930560*c_1001_2^6 + 570294993025875356416411/792295475760273484032*c_1001_2^5 - 12157329367193470337045/198073868940068371008*c_1001_2^4 - 11196075169997684940427009/3961477378801367420160*c_1001_2^3 + 1604994878534166076288787/1980738689400683710080*c_1001_2^2 + 1188535602153120748496413/792295475760273484032*c_1001_2 - 10132212344716979128783/10316347340628560990, c_0011_0 - 1, c_0011_10 - 4515257451443/4505622526464*c_1001_2^7 - 485889053033/1501874175488*c_1001_2^6 + 4308377113805/4505622526464*c_1001_2^5 + 3978418772453/4505622526464*c_1001_2^4 - 9458244253873/4505622526464*c_1001_2^3 - 5989598431433/4505622526464*c_1001_2^2 - 452289444457/4505622526464*c_1001_2 + 1622715153845/1501874175488, c_0011_11 + 6428516232235/9011245052928*c_1001_2^7 - 2208483573861/3003748350976*c_1001_2^6 - 1251113073721/9011245052928*c_1001_2^5 + 677752535309/9011245052928*c_1001_2^4 + 10040410291985/9011245052928*c_1001_2^3 - 1539387110285/9011245052928*c_1001_2^2 - 2483892619075/9011245052928*c_1001_2 - 543016591067/3003748350976, c_0011_3 + 2664694137581/4505622526464*c_1001_2^7 + 914689851083/4505622526464*c_1001_2^6 - 3343079406863/4505622526464*c_1001_2^5 - 2704246292689/4505622526464*c_1001_2^4 + 6410543089655/4505622526464*c_1001_2^3 + 1518526362731/1501874175488*c_1001_2^2 - 951507781767/1501874175488*c_1001_2 - 3698863201019/4505622526464, c_0011_4 + 3219322756471/4505622526464*c_1001_2^7 - 752962296337/4505622526464*c_1001_2^6 - 4312395996265/4505622526464*c_1001_2^5 - 839901145755/1501874175488*c_1001_2^4 + 2667705096735/1501874175488*c_1001_2^3 + 5592418816325/4505622526464*c_1001_2^2 - 3203072918891/4505622526464*c_1001_2 - 5377907796323/4505622526464, c_0101_0 + 3226652047589/9011245052928*c_1001_2^7 - 5783797462349/9011245052928*c_1001_2^6 - 6383912656367/9011245052928*c_1001_2^5 + 1455700659989/3003748350976*c_1001_2^4 + 2286140978277/3003748350976*c_1001_2^3 - 5114732394551/9011245052928*c_1001_2^2 - 10524660971365/9011245052928*c_1001_2 - 2334839839483/9011245052928, c_0101_1 - 10594504754221/9011245052928*c_1001_2^7 - 4298660596031/9011245052928*c_1001_2^6 + 10348534939423/9011245052928*c_1001_2^5 + 3377653650575/3003748350976*c_1001_2^4 - 6903829274653/3003748350976*c_1001_2^3 - 17158900768733/9011245052928*c_1001_2^2 - 510461483995/9011245052928*c_1001_2 + 5430141639215/9011245052928, c_0101_2 - 361393884959/2252811263232*c_1001_2^7 - 648554565845/750937087744*c_1001_2^6 + 764473563641/2252811263232*c_1001_2^5 + 1631308594649/2252811263232*c_1001_2^4 + 525137366171/2252811263232*c_1001_2^3 - 3944274370181/2252811263232*c_1001_2^2 - 2632373513461/2252811263232*c_1001_2 + 342707025977/750937087744, c_0101_3 + 3765398423827/9011245052928*c_1001_2^7 + 446053424333/9011245052928*c_1001_2^6 - 4954378101913/9011245052928*c_1001_2^5 - 1077456392853/3003748350976*c_1001_2^4 + 3675362287699/3003748350976*c_1001_2^3 + 3931454270519/9011245052928*c_1001_2^2 - 5314929285683/9011245052928*c_1001_2 - 2692630632965/9011245052928, c_0110_2 - 18392360601/48447554048*c_1001_2^7 - 4775800499/145342662144*c_1001_2^6 + 139904087/48447554048*c_1001_2^5 - 59501224387/145342662144*c_1001_2^4 - 140022177049/145342662144*c_1001_2^3 + 16635946415/145342662144*c_1001_2^2 + 12783848671/145342662144*c_1001_2 - 133511825977/145342662144, c_0110_8 - 1583731817915/9011245052928*c_1001_2^7 - 3534447783541/9011245052928*c_1001_2^6 - 2514684063679/9011245052928*c_1001_2^5 + 2182120409549/3003748350976*c_1001_2^4 - 807374598235/3003748350976*c_1001_2^3 - 10056450537295/9011245052928*c_1001_2^2 - 7429942350773/9011245052928*c_1001_2 + 3361813872157/9011245052928, c_1001_2^8 - 8/41*c_1001_2^7 - 1820/1681*c_1001_2^6 - 528/1681*c_1001_2^5 + 4294/1681*c_1001_2^4 + 1368/1681*c_1001_2^3 - 2140/1681*c_1001_2^2 - 1152/1681*c_1001_2 + 1441/1681 ], 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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0110_2, c_0110_8, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 97009702716182677/387796323849523*c_1001_2^9 - 1327917098611926934/1163388971548569*c_1001_2^8 - 737530177023364280/387796323849523*c_1001_2^7 - 730362726681644046/387796323849523*c_1001_2^6 - 435644533738760030/387796323849523*c_1001_2^5 - 416220722436661391/1163388971548569*c_1001_2^4 - 148889619839375881/387796323849523*c_1001_2^3 - 108053237258543316/387796323849523*c_1001_2^2 - 88792463930989051/1163388971548569*c_1001_2 - 8107060118285197/1163388971548569, c_0011_0 - 1, c_0011_10 + 24348637512/298669471*c_1001_2^9 + 47963188021/298669471*c_1001_2^8 + 56333577106/298669471*c_1001_2^7 + 47890954105/298669471*c_1001_2^6 + 26366965797/298669471*c_1001_2^5 + 26901077233/298669471*c_1001_2^4 + 16229848560/298669471*c_1001_2^3 + 625033537/298669471*c_1001_2^2 + 2846766522/298669471*c_1001_2 + 1869671545/298669471, c_0011_11 - 2998673685/298669471*c_1001_2^9 - 8024792454/298669471*c_1001_2^8 - 10569342530/298669471*c_1001_2^7 - 10517642635/298669471*c_1001_2^6 - 7236304657/298669471*c_1001_2^5 - 5807918772/298669471*c_1001_2^4 - 4749086665/298669471*c_1001_2^3 - 1366223200/298669471*c_1001_2^2 - 681724600/298669471*c_1001_2 - 591865810/298669471, c_0011_3 - 117030940000/298669471*c_1001_2^9 - 211860460023/298669471*c_1001_2^8 - 245170754067/298669471*c_1001_2^7 - 204145781038/298669471*c_1001_2^6 - 109757296106/298669471*c_1001_2^5 - 123755373162/298669471*c_1001_2^4 - 64682544325/298669471*c_1001_2^3 + 416695460/298669471*c_1001_2^2 - 16954237252/298669471*c_1001_2 - 6456219103/298669471, c_0011_4 - 2998673685/298669471*c_1001_2^9 - 8024792454/298669471*c_1001_2^8 - 10569342530/298669471*c_1001_2^7 - 10517642635/298669471*c_1001_2^6 - 7236304657/298669471*c_1001_2^5 - 5807918772/298669471*c_1001_2^4 - 4749086665/298669471*c_1001_2^3 - 1366223200/298669471*c_1001_2^2 - 681724600/298669471*c_1001_2 - 591865810/298669471, c_0101_0 - 48860574464/298669471*c_1001_2^9 - 90435977981/298669471*c_1001_2^8 - 105485685620/298669471*c_1001_2^7 - 87713019369/298669471*c_1001_2^6 - 47955713438/298669471*c_1001_2^5 - 52166027817/298669471*c_1001_2^4 - 28695177438/298669471*c_1001_2^3 - 296081325/298669471*c_1001_2^2 - 6334121112/298669471*c_1001_2 - 3324933912/298669471, c_0101_1 - 24348637512/298669471*c_1001_2^9 - 47963188021/298669471*c_1001_2^8 - 56333577106/298669471*c_1001_2^7 - 47890954105/298669471*c_1001_2^6 - 26366965797/298669471*c_1001_2^5 - 26901077233/298669471*c_1001_2^4 - 16229848560/298669471*c_1001_2^3 - 625033537/298669471*c_1001_2^2 - 2846766522/298669471*c_1001_2 - 1869671545/298669471, c_0101_2 + c_1001_2, c_0101_3 + 117030940000/298669471*c_1001_2^9 + 211860460023/298669471*c_1001_2^8 + 245170754067/298669471*c_1001_2^7 + 204145781038/298669471*c_1001_2^6 + 109757296106/298669471*c_1001_2^5 + 123755373162/298669471*c_1001_2^4 + 64682544325/298669471*c_1001_2^3 - 416695460/298669471*c_1001_2^2 + 16954237252/298669471*c_1001_2 + 6456219103/298669471, c_0110_2 - 15220164046/298669471*c_1001_2^9 - 30204899834/298669471*c_1001_2^8 - 37217772830/298669471*c_1001_2^7 - 32490761189/298669471*c_1001_2^6 - 19345278262/298669471*c_1001_2^5 - 18682977850/298669471*c_1001_2^4 - 11080395298/298669471*c_1001_2^3 - 1620471510/298669471*c_1001_2^2 - 2006300639/298669471*c_1001_2 - 1200151016/298669471, c_0110_8 - 51859248149/298669471*c_1001_2^9 - 98460770435/298669471*c_1001_2^8 - 116055028150/298669471*c_1001_2^7 - 98230662004/298669471*c_1001_2^6 - 55192018095/298669471*c_1001_2^5 - 57973946589/298669471*c_1001_2^4 - 33444264103/298669471*c_1001_2^3 - 1662304525/298669471*c_1001_2^2 - 7015845712/298669471*c_1001_2 - 3916799722/298669471, c_1001_2^10 + 128/61*c_1001_2^9 + 160/61*c_1001_2^8 + 144/61*c_1001_2^7 + 89/61*c_1001_2^6 + 82/61*c_1001_2^5 + 53/61*c_1001_2^4 + 10/61*c_1001_2^3 + 9/61*c_1001_2^2 + 6/61*c_1001_2 + 1/61 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.580 Total time: 3.790 seconds, Total memory usage: 64.12MB