Magma V2.19-8 Wed Aug 21 2013 01:01:43 on localhost [Seed = 2328662354] Type ? for help. Type -D to quit. Loading file "L14n13205__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13205 geometric_solution 12.47186752 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 1 -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 0 0 0 0 0 -1 1 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 0.585053501784 0.550644949052 0 5 2 6 0132 0132 2103 0132 1 0 1 1 0 0 -1 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 0 0 0 0 0 2 -2 -1 0 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 0.796617712844 1.099164340155 1 0 8 7 2103 0132 0132 0132 0 0 1 1 0 -1 1 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 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897928488660 0.658443765671 9 5 6 0 0132 1230 1230 0132 0 0 1 1 0 0 -1 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 0 -1 1 0 0 0 0 -1 1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295739397920 0.802769002978 8 10 0 11 0132 0132 0132 0132 0 0 1 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 -1 0 -1 0 1 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 0.067058064645 0.973597638909 7 1 3 7 1023 0132 3012 3120 1 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 0 0 0 0 0 3 -3 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681997214752 1.051160089701 11 9 1 3 3012 2103 0132 3012 1 0 0 1 0 1 -1 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 -2 2 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 0.236919665864 0.581732792054 5 5 2 9 3120 1023 0132 1023 0 0 1 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 1 0 0 -1 3 -1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565622843351 0.669504099241 4 12 10 2 0132 0132 1023 0132 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 0 0 0 0 0 0 0 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 0.380282362350 0.709350492984 3 6 12 7 0132 2103 0132 1023 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 -3 2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.067058064645 0.973597638909 11 4 8 12 0132 0132 1023 0132 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 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 0 0 0 0 0.703628583397 1.460185489027 10 12 4 6 0132 1023 0132 1230 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 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 0.067058064645 0.973597638909 11 8 10 9 1023 0132 0132 0132 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 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 0.380282362350 0.709350492984 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : d['c_0101_0'], 'c_1010_10' : d['c_1001_12'], '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' : d['c_0101_11'], 'c_0101_10' : d['c_0011_6'], '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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0110_6'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0110_6'], 'c_1100_3' : d['c_0110_6'], 'c_1100_2' : negation(d['c_1100_10']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_6'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_12'], 'c_1010_9' : d['c_0101_3'], 'c_1010_8' : d['c_1001_12'], 'c_1100_8' : negation(d['c_1100_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'], 'c_1100_12' : d['c_1100_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_3']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], '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_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_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_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_7, c_0110_6, c_1001_12, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 29*c_1100_10^3 - 2/3*c_1100_10^2 - 22/9*c_1100_10 + 25/9, c_0011_0 - 1, c_0011_10 + 9*c_1100_10^3 + 6*c_1100_10^2 + c_1100_10, c_0011_3 + 9*c_1100_10^3 + 6*c_1100_10^2 + c_1100_10 + 1, c_0011_6 + 9*c_1100_10^3 + 9*c_1100_10^2 + 5*c_1100_10 + 1, c_0101_0 - 1, c_0101_1 - 9*c_1100_10^3 - 9*c_1100_10^2 - 5*c_1100_10 - 1, c_0101_11 + 9*c_1100_10^3 + 9*c_1100_10^2 + 5*c_1100_10 + 2, c_0101_3 + 3*c_1100_10^2 + c_1100_10, c_0101_5 - 3*c_1100_10^2 - 4*c_1100_10 - 2, c_0101_7 + 9*c_1100_10^3 + 9*c_1100_10^2 + 2*c_1100_10, c_0110_6 + 9*c_1100_10^3 + 9*c_1100_10^2 + 3*c_1100_10 + 1, c_1001_12 + 1, c_1100_10^4 + 5/3*c_1100_10^3 + 10/9*c_1100_10^2 + 4/9*c_1100_10 + 1/9 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_5, c_0101_7, c_0110_6, c_1001_12, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 15153346188832364194019614059865/1638182920085741992547237453632*c_\ 1100_10^14 + 131217800690001879287241572281937/16381829200857419925\ 47237453632*c_1100_10^13 + 8531554037551684479353656299575/10238643\ 2505358874534202340852*c_1100_10^12 + 4236572231622526912468184622056259/1638182920085741992547237453632*\ c_1100_10^11 - 4193925493977426333487145990614203/81909146004287099\ 6273618726816*c_1100_10^10 + 873160002421335731495862152546137/2047\ 72865010717749068404681704*c_1100_10^9 + 1357220961129670852013500464871373/102386432505358874534202340852*c\ _1100_10^8 + 49538361321700978741472079129412335/163818292008574199\ 2547237453632*c_1100_10^7 + 54671612209581695995672482551275735/163\ 8182920085741992547237453632*c_1100_10^6 + 56218694439405329070558918625302555/1638182920085741992547237453632\ *c_1100_10^5 + 2466153210910409510232158904215307/10238643250535887\ 4534202340852*c_1100_10^4 + 2193359368991029889945822241693287/1260\ 14070775826307119018265664*c_1100_10^3 + 239400704768584112724597839549313/25596608126339718633550585213*c_1\ 100_10^2 + 2372899266107604914411158382063203/819091460042870996273\ 618726816*c_1100_10 + 293471041653244155938271375371903/40954573002\ 1435498136809363408, c_0011_0 - 1, c_0011_10 - 503780055137185703612554607/31503517693956576779754566416*c\ _1100_10^14 - 3979639169631543293004135859/315035176939565767797545\ 66416*c_1100_10^13 - 162459488950553876351764803/393793971174457209\ 7469320802*c_1100_10^12 - 137990986779568955094155686413/3150351769\ 3956576779754566416*c_1100_10^11 + 192838501819953146367161900753/15751758846978288389877283208*c_1100\ _10^10 - 116336770701493420032025949369/787587942348914419493864160\ 4*c_1100_10^9 - 121391832480022581112178556801/78758794234891441949\ 38641604*c_1100_10^8 - 1190348341189965349474351721897/315035176939\ 56576779754566416*c_1100_10^7 - 593434645319065098583290422765/3150\ 3517693956576779754566416*c_1100_10^6 - 704220851308137143340668087925/31503517693956576779754566416*c_1100\ _10^5 - 5834005153759277267214459791/7875879423489144194938641604*c\ _1100_10^4 - 207219487244964470164153433453/31503517693956576779754\ 566416*c_1100_10^3 + 9228023272587529050036222801/39379397117445720\ 97469320802*c_1100_10^2 + 36764762041496809415625870561/15751758846\ 978288389877283208*c_1100_10 + 2556146434161370302118916347/3937939\ 711744572097469320802, c_0011_3 + 4407704424959580876457937445/63007035387913153559509132832*c\ _1100_10^14 + 37979888046137181373837495793/63007035387913153559509\ 132832*c_1100_10^13 + 2407792447038712935590984121/3937939711744572\ 097469320802*c_1100_10^12 + 1234079923461667695064122994023/6300703\ 5387913153559509132832*c_1100_10^11 - 1245754642059455226305506115827/31503517693956576779754566416*c_110\ 0_10^10 + 564703783067531446648235520877/15751758846978288389877283\ 208*c_1100_10^9 + 1468606492715709470919070235479/15751758846978288\ 389877283208*c_1100_10^8 + 14625184004419913599805550511379/6300703\ 5387913153559509132832*c_1100_10^7 + 15616999820023981168666041667871/63007035387913153559509132832*c_11\ 00_10^6 + 16669782062268931433554989326799/630070353879131535595091\ 32832*c_1100_10^5 + 2855850166316679523953487717871/157517588469782\ 88389877283208*c_1100_10^4 + 8714122020460386503442448718983/630070\ 35387913153559509132832*c_1100_10^3 + 556515133953236718458142510095/7875879423489144194938641604*c_1100_\ 10^2 + 818487288018032431981864967705/31503517693956576779754566416\ *c_1100_10 + 40816297501625103054656214287/787587942348914419493864\ 1604, c_0011_6 + 437590228383567964953527035/15751758846978288389877283208*c_\ 1100_10^14 + 3693775448367167724263174183/1575175884697828838987728\ 3208*c_1100_10^13 + 397864703719518964509153953/1968969855872286048\ 734660401*c_1100_10^12 + 122043432094144038279086314761/15751758846\ 978288389877283208*c_1100_10^11 - 134249928879249054598371241293/78\ 75879423489144194938641604*c_1100_10^10 + 68323217658561964266802884285/3937939711744572097469320802*c_1100_1\ 0^9 + 134729444002255139399727116077/3937939711744572097469320802*c\ _1100_10^8 + 1339758284826653275828979014917/1575175884697828838987\ 7283208*c_1100_10^7 + 1345133459428473389347761128385/1575175884697\ 8288389877283208*c_1100_10^6 + 1479391876961200210440052162137/1575\ 1758846978288389877283208*c_1100_10^5 + 237895949854198172477829650525/3937939711744572097469320802*c_1100_\ 10^4 + 733610108261410632696520736289/15751758846978288389877283208\ *c_1100_10^3 + 43469111381420429613296562217/1968969855872286048734\ 660401*c_1100_10^2 + 53022410450293615862950591831/7875879423489144\ 194938641604*c_1100_10 + 2743678883984862592479253158/1968969855872\ 286048734660401, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 514786132295936105698859309/7875879423489144194938641604*c_\ 1100_10^14 + 4346480744126374378488503543/7875879423489144194938641\ 604*c_1100_10^13 + 1858901021598080003243145993/3937939711744572097\ 469320802*c_1100_10^12 + 143291129527899574362861317587/78758794234\ 89144194938641604*c_1100_10^11 - 78930170745595805893416463441/1968\ 969855872286048734660401*c_1100_10^10 + 77752241010412578095706488939/1968969855872286048734660401*c_1100_1\ 0^9 + 164992165389310553311642237761/1968969855872286048734660401*c\ _1100_10^8 + 1549435318918267696383784516031/7875879423489144194938\ 641604*c_1100_10^7 + 1547865600254676543083590330921/78758794234891\ 44194938641604*c_1100_10^6 + 1647766495320214757425102213241/787587\ 9423489144194938641604*c_1100_10^5 + 526937405393061214156049223845/3937939711744572097469320802*c_1100_\ 10^4 + 822015470407697474084727088443/7875879423489144194938641604*\ c_1100_10^3 + 197633663096089806088828429915/3937939711744572097469\ 320802*c_1100_10^2 + 61259648723031560182421986581/3937939711744572\ 097469320802*c_1100_10 + 7263835493329972207527116229/1968969855872\ 286048734660401, c_0101_3 + 1422601445765299349570825979/31503517693956576779754566416*c\ _1100_10^14 + 12128089509277741411975164295/31503517693956576779754\ 566416*c_1100_10^13 + 1422734757540166442264066351/3937939711744572\ 097469320802*c_1100_10^12 + 397792521696492736756496794761/31503517\ 693956576779754566416*c_1100_10^11 - 419854650097379679899516359225/15751758846978288389877283208*c_1100\ _10^10 + 205377756569508190439005941591/787587942348914419493864160\ 4*c_1100_10^9 + 450019951022739905009687607633/78758794234891441949\ 38641604*c_1100_10^8 + 4545367553136241308348261433149/315035176939\ 56576779754566416*c_1100_10^7 + 4751976981101676405101683649289/315\ 03517693956576779754566416*c_1100_10^6 + 5177599206026286844293280976841/31503517693956576779754566416*c_110\ 0_10^5 + 861644971815959677504705395199/787587942348914419493864160\ 4*c_1100_10^4 + 2667257347400573882972955841433/3150351769395657677\ 9754566416*c_1100_10^3 + 83959788351678456531505437161/196896985587\ 2286048734660401*c_1100_10^2 + 249477408642761860238671586271/15751\ 758846978288389877283208*c_1100_10 + 14596447860347384683159980689/3937939711744572097469320802, c_0101_5 - 1074118933399490638351209727/63007035387913153559509132832*c\ _1100_10^14 - 9507313390768242942127988131/630070353879131535595091\ 32832*c_1100_10^13 - 713637774990062833468234391/393793971174457209\ 7469320802*c_1100_10^12 - 301716376461663953565755387557/6300703538\ 7913153559509132832*c_1100_10^11 + 268904160733436772845401412457/31503517693956576779754566416*c_1100\ _10^10 - 92331788497989617908660633975/1575175884697828838987728320\ 8*c_1100_10^9 - 409770021514517010469654486357/15751758846978288389\ 877283208*c_1100_10^8 - 3857187927367318694818998200489/63007035387\ 913153559509132832*c_1100_10^7 - 4388336266440639526096941926157/63\ 007035387913153559509132832*c_1100_10^6 - 4534717021838254831901434676477/63007035387913153559509132832*c_110\ 0_10^5 - 836955431881443479548584991845/157517588469782883898772832\ 08*c_1100_10^4 - 2482431753980682030716327447077/630070353879131535\ 59509132832*c_1100_10^3 - 170997195215835203294101892261/7875879423\ 489144194938641604*c_1100_10^2 - 268112874617440494428486333099/315\ 03517693956576779754566416*c_1100_10 - 12703318302838137245214964217/7875879423489144194938641604, c_0101_7 - 4407704424959580876457937445/63007035387913153559509132832*c\ _1100_10^14 - 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