Magma V2.19-8 Wed Aug 21 2013 00:50:57 on localhost [Seed = 492505107] Type ? for help. Type -D to quit. Loading file "L10a88__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a88 geometric_solution 12.60527261 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2031 0132 1 1 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 -1 0 3 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.942913159206 0.784589628730 0 4 2 0 0132 0132 2031 1302 1 1 1 0 0 1 0 -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 3 0 -3 1 0 -1 0 0 0 0 0 -1 3 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.373340602201 0.521437694935 3 0 4 1 0213 0132 3201 1302 1 0 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 -1 0 1 -2 0 0 2 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879195268848 0.653527663795 2 5 0 6 0213 0132 0132 0132 1 1 0 0 0 0 0 0 0 0 1 -1 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 2 -2 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.437058492558 0.652499659870 2 1 5 6 2310 0132 1230 1230 1 0 0 1 0 -1 1 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 -3 3 0 1 0 0 -1 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758008113641 0.878599338991 7 3 8 4 0132 0132 0132 3012 1 1 0 0 0 0 0 0 1 0 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 0 0 3 0 0 -3 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551383797691 0.813040831058 4 7 3 8 3012 0132 0132 0132 1 1 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 -1 1 0 0 0 2 -2 1 0 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551383797691 0.813040831058 5 6 10 9 0132 0132 0132 0132 1 1 0 0 0 0 0 0 -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 1 -1 0 -3 0 0 3 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618031490663 0.929904310477 10 9 6 5 0132 0132 0132 0132 1 1 0 0 0 0 0 0 -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 0 0 0 -2 0 2 0 -2 0 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.618031490663 0.929904310477 11 8 7 12 0132 0132 0132 0132 1 1 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 0 0 0 0 -3 3 -1 1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536643600638 1.086512978927 8 12 11 7 0132 0132 0132 0132 1 1 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 -1 1 2 0 -2 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536643600638 1.086512978927 9 12 12 10 0132 1023 0132 0132 1 1 0 0 0 0 0 0 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 -1 0 1 0 0 -2 2 -3 1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026032009288 0.780517964815 11 10 9 11 1023 0132 0132 0132 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 1 0 -3 2 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.026032009288 0.780517964815 ==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' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_12'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_6'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_4']), 'c_1001_9' : d['c_1001_5'], 'c_1001_8' : d['c_1001_12'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_0101_11'], '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'], 'c_0101_12' : d['c_0101_11'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_1001_4']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : d['c_1100_10'], 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_5'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_1001_5'], 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_4']), 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_5'], '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), '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_10'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : d['c_0101_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_6']), 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_7'], 's_2_9' : d['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_3, c_0101_0, c_0101_10, c_0101_11, c_0101_4, c_0101_6, c_0101_7, c_1001_12, c_1001_4, c_1001_5, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 3090970202302612432739081/815651550194235038220650*c_1100_10^17 - 3852760632399503044325489/163130310038847007644130*c_1100_10^16 - 68572204036372020892697031/815651550194235038220650*c_1100_10^15 - 36896456156718647885486919/163130310038847007644130*c_1100_10^14 - 227121245673292581835740554/407825775097117519110325*c_1100_10^13 - 64746432508171136285944684/81565155019423503822065*c_1100_10^12 - 249877856935567749322090562/407825775097117519110325*c_1100_10^11 - 467071812716906873470091611/815651550194235038220650*c_1100_10^10 - 586939869730954534420395428/407825775097117519110325*c_1100_10^9 + 1236458681011338163714996189/815651550194235038220650*c_1100_10^8 - 8149553768171991979813581/11652165002774786260295*c_1100_10^7 - 205305307958842898545727001/815651550194235038220650*c_1100_10^6 + 19205716199097059267917354/58260825013873931301475*c_1100_10^5 - 37263587421805529708271289/407825775097117519110325*c_1100_10^4 - 1258519037708671128779787/163130310038847007644130*c_1100_10^3 - 1025355073350547700687435/16313031003884700764413*c_1100_10^2 - 15069830695749039193626831/815651550194235038220650*c_1100_10 - 372018899294080116720421/815651550194235038220650, c_0011_0 - 1, c_0011_10 + 50726159064524828679/665838000158559214874*c_1100_10^17 + 294046981595525612699/665838000158559214874*c_1100_10^16 + 499319164648267174667/332919000079279607437*c_1100_10^15 + 1295731639458177990162/332919000079279607437*c_1100_10^14 + 6301932393368385201179/665838000158559214874*c_1100_10^13 + 7786163826449505869691/665838000158559214874*c_1100_10^12 + 4575563289655681637545/665838000158559214874*c_1100_10^11 + 2465757892267896320441/332919000079279607437*c_1100_10^10 + 16292749332587024397487/665838000158559214874*c_1100_10^9 - 27233348879195102492219/665838000158559214874*c_1100_10^8 + 10852856250012530747242/332919000079279607437*c_1100_10^7 - 4510648451519554127554/332919000079279607437*c_1100_10^6 + 3013109358949086257054/332919000079279607437*c_1100_10^5 - 2383755851059184141678/332919000079279607437*c_1100_10^4 + 1392060894184194894063/332919000079279607437*c_1100_10^3 + 138088216876778521752/332919000079279607437*c_1100_10^2 + 594433716674112640540/332919000079279607437*c_1100_10 + 4099756025098571186/332919000079279607437, c_0011_3 + 19229785017999307888/332919000079279607437*c_1100_10^17 + 67142882528103599885/332919000079279607437*c_1100_10^16 + 130610872213720610321/332919000079279607437*c_1100_10^15 + 164986096537601341365/332919000079279607437*c_1100_10^14 + 317578105270684534244/332919000079279607437*c_1100_10^13 - 2045937587668115816601/332919000079279607437*c_1100_10^12 - 3832131258941730429189/332919000079279607437*c_1100_10^11 - 464481385701098319991/332919000079279607437*c_1100_10^10 + 2898715882637558450149/332919000079279607437*c_1100_10^9 - 23743862824090644422711/332919000079279607437*c_1100_10^8 + 34939259571877998107555/332919000079279607437*c_1100_10^7 - 26596277883295699168207/332919000079279607437*c_1100_10^6 + 11409790603071020491688/332919000079279607437*c_1100_10^5 - 6535998045692902266672/332919000079279607437*c_1100_10^4 + 4400711450542853302704/332919000079279607437*c_1100_10^3 - 2211975299281042251991/332919000079279607437*c_1100_10^2 - 207156385258601447890/332919000079279607437*c_1100_10 + 311823118784996454423/332919000079279607437, c_0101_0 - 1, c_0101_10 - 51418379775154880819/665838000158559214874*c_1100_10^17 - 269586418572277767473/665838000158559214874*c_1100_10^16 - 439237133026550905158/332919000079279607437*c_1100_10^15 - 1124910586720072472401/332919000079279607437*c_1100_10^14 - 2778022907396102006925/332919000079279607437*c_1100_10^13 - 5967626156226673577485/665838000158559214874*c_1100_10^12 - 4182859528223424367933/665838000158559214874*c_1100_10^11 - 7325922116386362663551/665838000158559214874*c_1100_10^10 - 16490070658642573448521/665838000158559214874*c_1100_10^9 + 16812643484113162423975/332919000079279607437*c_1100_10^8 - 48172546936096294587853/665838000158559214874*c_1100_10^7 + 18513237878301495498408/332919000079279607437*c_1100_10^6 - 22088032381413409328565/665838000158559214874*c_1100_10^5 + 7561787121958157643363/665838000158559214874*c_1100_10^4 - 3733961882486221558711/665838000158559214874*c_1100_10^3 + 1448020209156348015319/665838000158559214874*c_1100_10^2 - 402082887253409589605/665838000158559214874*c_1100_10 - 449487503457802376329/665838000158559214874, c_0101_11 - 146137784879/2009319603086*c_1100_10^17 - 863924107223/2009319603086*c_1100_10^16 - 1535571414303/1004659801543*c_1100_10^15 - 4191684105246/1004659801543*c_1100_10^14 - 10540289695189/1004659801543*c_1100_10^13 - 30053837503653/2009319603086*c_1100_10^12 - 14705015206771/1004659801543*c_1100_10^11 - 17309150313438/1004659801543*c_1100_10^10 - 63250752868063/2009319603086*c_1100_10^9 + 29179803941701/1004659801543*c_1100_10^8 - 44430919969411/1004659801543*c_1100_10^7 + 62559304560453/2009319603086*c_1100_10^6 - 21943991357900/1004659801543*c_1100_10^5 + 23022886597165/2009319603086*c_1100_10^4 - 3246096993572/1004659801543*c_1100_10^3 + 899855754267/1004659801543*c_1100_10^2 - 1821684972077/2009319603086*c_1100_10 - 754721031123/2009319603086, c_0101_4 - 4099756025098571186/332919000079279607437*c_1100_10^17 + 1529086763341974447/665838000158559214874*c_1100_10^16 + 121857228541385622887/665838000158559214874*c_1100_10^15 + 269732827242747188251/332919000079279607437*c_1100_10^14 + 729965307994575166494/332919000079279607437*c_1100_10^13 + 4760424127931322435243/665838000158559214874*c_1100_10^12 + 6605434091221117368123/665838000158559214874*c_1100_10^11 + 3345636482126110281745/665838000158559214874*c_1100_10^10 + 961147431056720695179/332919000079279607437*c_1100_10^9 + 20048125851577315603863/665838000158559214874*c_1100_10^8 - 30193372729316270888511/665838000158559214874*c_1100_10^7 + 11402223557375739286166/332919000079279607437*c_1100_10^6 - 4736135032899975542784/332919000079279607437*c_1100_10^5 + 3209897648153817673982/332919000079279607437*c_1100_10^4 - 2498549019761944134886/332919000079279607437*c_1100_10^3 + 1351063333933209182203/332919000079279607437*c_1100_10^2 + 133988460851679950566/332919000079279607437*c_1100_10 + 253315204544635890731/332919000079279607437, c_0101_6 + 4099756025098571186/332919000079279607437*c_1100_10^17 - 1529086763341974447/665838000158559214874*c_1100_10^16 - 121857228541385622887/665838000158559214874*c_1100_10^15 - 269732827242747188251/332919000079279607437*c_1100_10^14 - 729965307994575166494/332919000079279607437*c_1100_10^13 - 4760424127931322435243/665838000158559214874*c_1100_10^12 - 6605434091221117368123/665838000158559214874*c_1100_10^11 - 3345636482126110281745/665838000158559214874*c_1100_10^10 - 961147431056720695179/332919000079279607437*c_1100_10^9 - 20048125851577315603863/665838000158559214874*c_1100_10^8 + 30193372729316270888511/665838000158559214874*c_1100_10^7 - 11402223557375739286166/332919000079279607437*c_1100_10^6 + 4736135032899975542784/332919000079279607437*c_1100_10^5 - 3209897648153817673982/332919000079279607437*c_1100_10^4 + 2498549019761944134886/332919000079279607437*c_1100_10^3 - 1351063333933209182203/332919000079279607437*c_1100_10^2 - 133988460851679950566/332919000079279607437*c_1100_10 - 253315204544635890731/332919000079279607437, c_0101_7 - 39904930975268353248/332919000079279607437*c_1100_10^17 - 212254597234816554312/332919000079279607437*c_1100_10^16 - 692805182833297509771/332919000079279607437*c_1100_10^15 - 1774146220658178545079/332919000079279607437*c_1100_10^14 - 4375866417035434997425/332919000079279607437*c_1100_10^13 - 9600023348865499464991/665838000158559214874*c_1100_10^12 - 6422927365383920163115/665838000158559214874*c_1100_10^11 - 5674960976973062091515/332919000079279607437*c_1100_10^10 - 13264930314291113300832/332919000079279607437*c_1100_10^9 + 51786679925669797566817/665838000158559214874*c_1100_10^8 - 65915225342684908141435/665838000158559214874*c_1100_10^7 + 46425999387219024907571/665838000158559214874*c_1100_10^6 - 9419976463523392008840/332919000079279607437*c_1100_10^5 + 9110931748892368637229/665838000158559214874*c_1100_10^4 - 4508571477917100207811/665838000158559214874*c_1100_10^3 + 647730934087450772403/332919000079279607437*c_1100_10^2 + 69212828375792752750/332919000079279607437*c_1100_10 - 221358348727129044287/332919000079279607437, c_1001_12 - 51418379775154880819/665838000158559214874*c_1100_10^17 - 269586418572277767473/665838000158559214874*c_1100_10^16 - 439237133026550905158/332919000079279607437*c_1100_10^15 - 1124910586720072472401/332919000079279607437*c_1100_10^14 - 2778022907396102006925/332919000079279607437*c_1100_10^13 - 5967626156226673577485/665838000158559214874*c_1100_10^12 - 4182859528223424367933/665838000158559214874*c_1100_10^11 - 7325922116386362663551/665838000158559214874*c_1100_10^10 - 16490070658642573448521/665838000158559214874*c_1100_10^9 + 16812643484113162423975/332919000079279607437*c_1100_10^8 - 48172546936096294587853/665838000158559214874*c_1100_10^7 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