Magma V2.19-8 Wed Aug 21 2013 01:06:42 on localhost [Seed = 2664990305] Type ? for help. Type -D to quit. Loading file "L14n32824__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32824 geometric_solution 12.13100951 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 0 0 0 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 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 0.031151091229 0.826308992419 0 5 6 2 0132 0132 0132 1023 0 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 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 0.393304238636 1.212476586837 7 0 8 1 0132 0132 0132 1023 0 0 1 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 -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 0.063654420326 0.881954350363 9 9 10 0 0132 1230 0132 0132 0 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 0 0 0 0 0 0 0 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 0.657574918223 0.555298426610 10 4 0 4 2310 1302 0132 2031 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 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 0.713716203358 1.019383677112 7 1 11 9 1023 0132 0132 1023 0 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 0 0 0 0 0 0 0 0 0 0 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 0.218901908563 0.717203382801 7 10 12 1 3012 1023 0132 0132 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 -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 0.913231885428 1.943323471872 2 5 11 6 0132 1023 3012 1230 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.076060192320 0.943088115882 11 12 12 2 0132 2103 1023 0132 0 0 0 1 0 0 0 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 0 0 -1 1 1 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 0.234174598877 0.598628184081 3 12 3 5 0132 1023 3012 1023 0 0 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 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 0.112298277662 0.749632256422 6 11 4 3 1023 0213 3201 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 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 0.647080751825 0.710164052946 8 7 10 5 0132 1230 0213 0132 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 0 0 0 0 0 0 0 0 0 -1 0 0 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 0.908105747550 1.601022247592 9 8 8 6 1023 2103 1023 0132 0 0 0 1 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 1 -1 -1 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 0.234174598877 0.598628184081 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_1']), 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0101_10']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : 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' : d['c_0011_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_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_1001_3'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_1100_1']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1001_3']), 'c_1100_11' : d['c_1001_3'], 'c_1100_10' : negation(d['c_0011_4']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_6'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : negation(d['c_0101_10']), 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : negation(d['c_0101_10']), 'c_1100_8' : negation(d['c_1100_1']), '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' : negation(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_1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_12'], 'c_0011_8' : negation(d['c_0011_11']), '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_12']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0011_12'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_10'], '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_0101_7'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_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_11, c_0011_12, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_7, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 4411573702/72429683183*c_1001_3*c_1100_1^2 + 29434354075/217289049549*c_1001_3*c_1100_1 + 128860714483/217289049549*c_1001_3 - 631745354/5571514091*c_1100_1^2 + 16343163140/16714542273*c_1100_1 - 11737275567/5571514091, c_0011_0 - 1, c_0011_10 - 84/611*c_1001_3*c_1100_1^2 + 370/611*c_1001_3*c_1100_1 - 251/611*c_1001_3 + 3/47*c_1100_1^2 + 17/47*c_1100_1 + 14/47, c_0011_11 + 42/611*c_1001_3*c_1100_1^2 - 185/611*c_1001_3*c_1100_1 + 431/611*c_1001_3 + 3/47*c_1100_1^2 + 17/47*c_1100_1 + 14/47, c_0011_12 + 42/611*c_1001_3*c_1100_1^2 - 185/611*c_1001_3*c_1100_1 + 431/611*c_1001_3 + 3/47*c_1100_1^2 + 17/47*c_1100_1 - 33/47, c_0011_4 - 3/47*c_1100_1^2 + 30/47*c_1100_1 - 61/47, c_0101_0 - 12/47*c_1100_1^2 + 73/47*c_1100_1 - 56/47, c_0101_1 - 1, c_0101_10 + 9/47*c_1100_1^2 - 43/47*c_1100_1 + 42/47, c_0101_3 - 42/611*c_1001_3*c_1100_1^2 + 185/611*c_1001_3*c_1100_1 - 431/611*c_1001_3 + 6/47*c_1100_1^2 - 13/47*c_1100_1 - 19/47, c_0101_6 - 84/611*c_1001_3*c_1100_1^2 + 370/611*c_1001_3*c_1100_1 - 251/611*c_1001_3 - 6/47*c_1100_1^2 - 34/47*c_1100_1 - 28/47, c_0101_7 - 99/611*c_1001_3*c_1100_1^2 + 567/611*c_1001_3*c_1100_1 - 274/611*c_1001_3 - 9/47*c_1100_1^2 + 90/47*c_1100_1 - 42/47, c_1001_3^2 + 9/47*c_1001_3*c_1100_1^2 + 51/47*c_1001_3*c_1100_1 - 52/47*c_1001_3 + 65/47*c_1100_1^2 + 55/47*c_1100_1 - 104/47, c_1100_1^3 - 16/3*c_1100_1^2 + 5*c_1100_1 - 13/3 ], 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_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_7, c_1001_3, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 698754395165874275356688141011/54531368004746122109325749396*c_1100\ _1^10 - 6030346498162532833363169379139/545313680047461221093257493\ 96*c_1100_1^9 - 5673434693185581085353114417709/1363284200118653052\ 7331437349*c_1100_1^8 - 47007556233383356326287762875039/5453136800\ 4746122109325749396*c_1100_1^7 - 25111036391499666040750864879939/2\ 7265684002373061054662874698*c_1100_1^6 - 2389079648087485446380453784189/13632842001186530527331437349*c_110\ 0_1^5 + 17770333951505571562627613267107/27265684002373061054662874\ 698*c_1100_1^4 + 17720887083675047683380352205797/54531368004746122\ 109325749396*c_1100_1^3 - 39742936977935199491948352569189/54531368\ 004746122109325749396*c_1100_1^2 - 23505621698884158688450293805379/27265684002373061054662874698*c_11\ 00_1 - 7008163926097030188676553150433/2726568400237306105466287469\ 8, c_0011_0 - 1, c_0011_10 - 623494796976849890137/7137353903188617234782*c_1100_1^10 - 1817177158069598676303/3568676951594308617391*c_1100_1^9 - 9681327912538117186515/7137353903188617234782*c_1100_1^8 - 12265609176027793637373/7137353903188617234782*c_1100_1^7 - 2204634557362502996601/7137353903188617234782*c_1100_1^6 + 6569176051637830987305/3568676951594308617391*c_1100_1^5 + 5481135672265417561658/3568676951594308617391*c_1100_1^4 - 9678888260106016183273/7137353903188617234782*c_1100_1^3 - 8149835996322686645595/3568676951594308617391*c_1100_1^2 - 6272331439851092515127/7137353903188617234782*c_1100_1 + 838930763887524242522/3568676951594308617391, c_0011_11 + 10384682814250369925519/7137353903188617234782*c_1100_1^10 + 44224074149179891879431/7137353903188617234782*c_1100_1^9 + 41610717718989439283403/3568676951594308617391*c_1100_1^8 + 31634943119235395679797/7137353903188617234782*c_1100_1^7 - 49030555111197831111763/3568676951594308617391*c_1100_1^6 - 55239830830200730439312/3568676951594308617391*c_1100_1^5 + 47620864762346648281833/3568676951594308617391*c_1100_1^4 + 173580640087249971336849/7137353903188617234782*c_1100_1^3 - 47163660205699983011205/7137353903188617234782*c_1100_1^2 - 38078701688439342330938/3568676951594308617391*c_1100_1 + 16858546409650386450393/3568676951594308617391, c_0011_12 - 10384682814250369925519/7137353903188617234782*c_1100_1^10 - 44224074149179891879431/7137353903188617234782*c_1100_1^9 - 41610717718989439283403/3568676951594308617391*c_1100_1^8 - 31634943119235395679797/7137353903188617234782*c_1100_1^7 + 49030555111197831111763/3568676951594308617391*c_1100_1^6 + 55239830830200730439312/3568676951594308617391*c_1100_1^5 - 47620864762346648281833/3568676951594308617391*c_1100_1^4 - 173580640087249971336849/7137353903188617234782*c_1100_1^3 + 47163660205699983011205/7137353903188617234782*c_1100_1^2 + 38078701688439342330938/3568676951594308617391*c_1100_1 - 16858546409650386450393/3568676951594308617391, c_0011_4 - 2448657438001700100275/14274707806377234469564*c_1100_1^10 - 8355590596013373828925/14274707806377234469564*c_1100_1^9 - 2409740575418452790625/3568676951594308617391*c_1100_1^8 + 13702999693216797726239/14274707806377234469564*c_1100_1^7 + 9056646399299095602804/3568676951594308617391*c_1100_1^6 + 4227801297757453699625/7137353903188617234782*c_1100_1^5 - 26073341554182893934377/7137353903188617234782*c_1100_1^4 - 30556520475887093920783/14274707806377234469564*c_1100_1^3 + 46538490039976743474241/14274707806377234469564*c_1100_1^2 + 8719224891039433088201/7137353903188617234782*c_1100_1 - 4199334946934098058105/3568676951594308617391, c_0101_0 - 29101978740699202389465/14274707806377234469564*c_1100_1^10 - 115959395811047982677465/14274707806377234469564*c_1100_1^9 - 100122586969387889332667/7137353903188617234782*c_1100_1^8 - 24706658216071162652367/14274707806377234469564*c_1100_1^7 + 151727404696172795966829/7137353903188617234782*c_1100_1^6 + 125113357372609030648351/7137353903188617234782*c_1100_1^5 - 171344505437485504926873/7137353903188617234782*c_1100_1^4 - 423172429157045950882633/14274707806377234469564*c_1100_1^3 + 239595418154688990148021/14274707806377234469564*c_1100_1^2 + 47086337982025179275355/3568676951594308617391*c_1100_1 - 29340374728843708332634/3568676951594308617391, c_0101_1 - 1, c_0101_10 + 623494796976849890137/7137353903188617234782*c_1100_1^10 + 1817177158069598676303/3568676951594308617391*c_1100_1^9 + 9681327912538117186515/7137353903188617234782*c_1100_1^8 + 12265609176027793637373/7137353903188617234782*c_1100_1^7 + 2204634557362502996601/7137353903188617234782*c_1100_1^6 - 6569176051637830987305/3568676951594308617391*c_1100_1^5 - 5481135672265417561658/3568676951594308617391*c_1100_1^4 + 9678888260106016183273/7137353903188617234782*c_1100_1^3 + 8149835996322686645595/3568676951594308617391*c_1100_1^2 - 865022463337524719655/7137353903188617234782*c_1100_1 - 838930763887524242522/3568676951594308617391, c_0101_3 + 468866768894264141383/3568676951594308617391*c_1100_1^10 + 1953093212700488244871/3568676951594308617391*c_1100_1^9 + 3177449926542554377908/3568676951594308617391*c_1100_1^8 - 138849688629417888174/3568676951594308617391*c_1100_1^7 - 6879258242849119628072/3568676951594308617391*c_1100_1^6 - 5674628949245272137509/3568676951594308617391*c_1100_1^5 + 6336388748298775143340/3568676951594308617391*c_1100_1^4 + 11178189823434081300420/3568676951594308617391*c_1100_1^3 - 2245016231329240535203/3568676951594308617391*c_1100_1^2 - 6625538116823507549069/3568676951594308617391*c_1100_1 + 3049598967542371425547/3568676951594308617391, c_0101_6 + 623494796976849890137/7137353903188617234782*c_1100_1^10 + 1817177158069598676303/3568676951594308617391*c_1100_1^9 + 9681327912538117186515/7137353903188617234782*c_1100_1^8 + 12265609176027793637373/7137353903188617234782*c_1100_1^7 + 2204634557362502996601/7137353903188617234782*c_1100_1^6 - 6569176051637830987305/3568676951594308617391*c_1100_1^5 - 5481135672265417561658/3568676951594308617391*c_1100_1^4 + 9678888260106016183273/7137353903188617234782*c_1100_1^3 + 8149835996322686645595/3568676951594308617391*c_1100_1^2 + 6272331439851092515127/7137353903188617234782*c_1100_1 - 838930763887524242522/3568676951594308617391, c_0101_7 + 15484622916951301309289/14274707806377234469564*c_1100_1^10 + 61726736589010439243341/14274707806377234469564*c_1100_1^9 + 53591731198500707674795/7137353903188617234782*c_1100_1^8 + 16464592791210415947791/14274707806377234469564*c_1100_1^7 - 77249228872256271295885/7137353903188617234782*c_1100_1^6 - 64130403567074777655249/7137353903188617234782*c_1100_1^5 + 88189411961761641570257/7137353903188617234782*c_1100_1^4 + 216681010355185897459973/14274707806377234469564*c_1100_1^3 - 118414996605405396789481/14274707806377234469564*c_1100_1^2 - 18987186598372718847117/3568676951594308617391*c_1100_1 + 13628338091965942567920/3568676951594308617391, c_1001_3 + 1476255052699784747647/3568676951594308617391*c_1100_1^10 + 13473390222021922809763/7137353903188617234782*c_1100_1^9 + 27009251754553579722419/7137353903188617234782*c_1100_1^8 + 7624150615388614345068/3568676951594308617391*c_1100_1^7 - 25787568955841640549183/7137353903188617234782*c_1100_1^6 - 18179177875795772955456/3568676951594308617391*c_1100_1^5 + 11524453696750134165183/3568676951594308617391*c_1100_1^4 + 30328021213106964221123/3568676951594308617391*c_1100_1^3 - 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