Magma V2.19-8 Wed Aug 21 2013 00:48:26 on localhost [Seed = 3002377744] Type ? for help. Type -D to quit. Loading file "K14n9016__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n9016 geometric_solution 11.54351291 oriented_manifold CS_known 0.0000000000000001 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 1 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 -0.041218220414 0.815246154958 0 5 6 2 0132 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 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 0.928938132241 0.906970706328 6 0 5 1 2310 0132 3201 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 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 0.369409941196 0.582479181202 7 7 8 0 0132 1230 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 1 0 -1 0 0 0 0 -1 0 0 1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.908464703803 0.908171780514 8 4 0 4 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.766322247708 0.894823755158 2 1 8 9 2310 0132 2103 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.033501839147 0.780033849994 8 9 2 1 1302 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.058660338954 0.520903777745 3 10 3 11 0132 0132 3012 0132 0 0 0 0 0 0 1 -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 0 3 -3 0 0 -1 1 -3 0 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449443393058 0.550379086724 5 6 4 3 2103 2031 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426001470646 0.471524803404 12 6 5 11 0132 0132 0132 3120 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669651850570 0.257944903324 12 7 11 12 2103 0132 0132 3201 0 0 0 0 0 0 1 -1 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 4 -4 0 0 -4 4 0 1 0 -1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.073977700782 0.943383047796 9 12 7 10 3120 0321 0132 0132 0 0 0 0 0 0 1 -1 -1 0 0 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 -4 -3 0 -1 4 0 -4 0 4 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.011711749890 0.850265321481 9 10 10 11 0132 2310 2103 0321 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 3 0 0 -3 0 -4 0 4 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.073977700782 0.943383047796 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : negation(d['c_0110_10']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : negation(d['c_0011_10']), '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_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' : negation(d['c_0101_11']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_4']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], '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_0011_8'], 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : negation(d['c_0011_4']), '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_12'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_11'], '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_0011_8'], 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_11'], '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_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 358323/13627744*c_1001_1^3 + 121783/3406936*c_1001_1^2 + 2954369/13627744*c_1001_1 + 409813/13627744, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 3/47*c_1001_1^3 - 5/47*c_1001_1^2 - 7/47*c_1001_1 - 12/47, c_0011_12 + 2, c_0011_4 - 3/47*c_1001_1^3 + 5/47*c_1001_1^2 + 7/47*c_1001_1 + 12/47, c_0011_8 + 6/47*c_1001_1^3 - 10/47*c_1001_1^2 + 33/47*c_1001_1 - 71/47, c_0101_0 - 4/47*c_1001_1^3 - 9/47*c_1001_1^2 - 22/47*c_1001_1 + 16/47, c_0101_1 - 3/47*c_1001_1^3 + 5/47*c_1001_1^2 - 40/47*c_1001_1 + 106/47, c_0101_10 - 3/47*c_1001_1^3 + 5/47*c_1001_1^2 - 40/47*c_1001_1 + 153/47, c_0101_11 + 3/47*c_1001_1^3 - 5/47*c_1001_1^2 + 40/47*c_1001_1 + 35/47, c_0101_5 - 1, c_0110_10 + 4/47*c_1001_1^3 + 9/47*c_1001_1^2 + 22/47*c_1001_1 - 16/47, c_1001_1^4 - c_1001_1^3 + 7*c_1001_1^2 - 16*c_1001_1 + 13 ], 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_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_10, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 38764261189074464548267/9252746789192094356644352*c_1001_1^11 - 40687584671071916207/9170214855492660412928*c_1001_1^10 - 146180781306011201819055/1156593348649011794580544*c_1001_1^9 - 3094088345502806996861437/9252746789192094356644352*c_1001_1^8 - 14658522231561184168617407/9252746789192094356644352*c_1001_1^7 - 51384883134028876531911117/9252746789192094356644352*c_1001_1^6 - 122031135082228204788022795/9252746789192094356644352*c_1001_1^5 - 141344352920894878834353329/4626373394596047178322176*c_1001_1^4 - 27402521761190450142303779/486986673115373387191808*c_1001_1^3 - 297418674000376898001641689/4626373394596047178322176*c_1001_1^2 - 104950625860138638654585569/2313186697298023589161088*c_1001_1 - 184952609598539894882746729/9252746789192094356644352, c_0011_0 - 1, c_0011_10 + 9787816303096669/16144744463895528896*c_1001_1^11 + 2369856354792777/16144744463895528896*c_1001_1^10 + 37859924774038611/2018093057986941112*c_1001_1^9 + 529324872329893739/16144744463895528896*c_1001_1^8 + 3561596481606281577/16144744463895528896*c_1001_1^7 + 10398695154771633867/16144744463895528896*c_1001_1^6 + 25426417944699298093/16144744463895528896*c_1001_1^5 + 29451335839036806111/8072372231947764448*c_1001_1^4 + 5349926958161056629/849723392836606784*c_1001_1^3 + 56136223163294443079/8072372231947764448*c_1001_1^2 + 21746966083941693475/4036186115973882224*c_1001_1 + 37508122576055494175/16144744463895528896, c_0011_11 + 363564899261327/2018093057986941112*c_1001_1^11 + 216449948217779/1009046528993470556*c_1001_1^10 + 2863407718103987/504523264496735278*c_1001_1^9 + 29950310829862021/2018093057986941112*c_1001_1^8 + 38169260176275935/504523264496735278*c_1001_1^7 + 508531920217762385/2018093057986941112*c_1001_1^6 + 643845799317385487/1009046528993470556*c_1001_1^5 + 762518823076675905/504523264496735278*c_1001_1^4 + 293376953976453237/106215424104575848*c_1001_1^3 + 6816758756810831849/2018093057986941112*c_1001_1^2 + 5200753740445729955/2018093057986941112*c_1001_1 + 624260832594129339/504523264496735278, c_0011_12 - 585507394698/2314326901361171*c_1001_1^11 - 17142521967831/18514615210889368*c_1001_1^10 - 68818643700931/9257307605444684*c_1001_1^9 - 91860682653512/2314326901361171*c_1001_1^8 - 2255987826003859/18514615210889368*c_1001_1^7 - 4916599315364899/9257307605444684*c_1001_1^6 - 25542744436223435/18514615210889368*c_1001_1^5 - 6840047671562249/2314326901361171*c_1001_1^4 - 1498128770302397/243613358038018*c_1001_1^3 - 149822265422567663/18514615210889368*c_1001_1^2 - 84732516583391951/18514615210889368*c_1001_1 - 49660058559504505/18514615210889368, c_0011_4 + 117252599464729/252261632248367639*c_1001_1^11 + 335820821916830/252261632248367639*c_1001_1^10 + 12858060672529337/1009046528993470556*c_1001_1^9 + 64376377282386753/1009046528993470556*c_1001_1^8 + 88946433762393503/504523264496735278*c_1001_1^7 + 441957050837683895/504523264496735278*c_1001_1^6 + 1903215525337219103/1009046528993470556*c_1001_1^5 + 4489276114080880503/1009046528993470556*c_1001_1^4 + 457684780181729371/53107712052287924*c_1001_1^3 + 10304257169900863725/1009046528993470556*c_1001_1^2 + 5823430402888472401/1009046528993470556*c_1001_1 + 2271214340692562653/1009046528993470556, c_0011_8 - 79767508031957/106215424104575848*c_1001_1^11 + 4863633613051/26553856026143962*c_1001_1^10 - 1218267181765923/53107712052287924*c_1001_1^9 - 3176217117435907/106215424104575848*c_1001_1^8 - 6573946435575437/26553856026143962*c_1001_1^7 - 71204703934128649/106215424104575848*c_1001_1^6 - 40692937786463089/26553856026143962*c_1001_1^5 - 187013010845214353/53107712052287924*c_1001_1^4 - 614627650527695531/106215424104575848*c_1001_1^3 - 517636808417192541/106215424104575848*c_1001_1^2 - 331296639889693395/106215424104575848*c_1001_1 - 45175108953733607/26553856026143962, c_0101_0 - 35231573396195/504523264496735278*c_1001_1^11 - 294906392693995/504523264496735278*c_1001_1^10 - 2059102442773795/1009046528993470556*c_1001_1^9 - 21603092677326447/1009046528993470556*c_1001_1^8 - 12295652712719224/252261632248367639*c_1001_1^7 - 67779922848696922/252261632248367639*c_1001_1^6 - 719124551038120119/1009046528993470556*c_1001_1^5 - 1645697396045540195/1009046528993470556*c_1001_1^4 - 195227710596201151/53107712052287924*c_1001_1^3 - 5288190500368472461/1009046528993470556*c_1001_1^2 - 4652705823326155535/1009046528993470556*c_1001_1 - 1941861743252671699/1009046528993470556, c_0101_1 - 1794107878193311/1009046528993470556*c_1001_1^11 + 426927686664397/1009046528993470556*c_1001_1^10 - 13671870540217450/252261632248367639*c_1001_1^9 - 35825924554356547/504523264496735278*c_1001_1^8 - 586257660314606345/1009046528993470556*c_1001_1^7 - 1602710112223107217/1009046528993470556*c_1001_1^6 - 3558993024314154331/1009046528993470556*c_1001_1^5 - 8369172777515135905/1009046528993470556*c_1001_1^4 - 683643570803578345/53107712052287924*c_1001_1^3 - 10464571993195389867/1009046528993470556*c_1001_1^2 - 2882320917081030783/504523264496735278*c_1001_1 + 24867616101820533/504523264496735278, c_0101_10 - 15765920253277561/16144744463895528896*c_1001_1^11 - 5699814482533965/16144744463895528896*c_1001_1^10 - 60636597596626443/2018093057986941112*c_1001_1^9 - 910328516700278111/16144744463895528896*c_1001_1^8 - 5773349825339997917/16144744463895528896*c_1001_1^7 - 17152094358366637039/16144744463895528896*c_1001_1^6 - 42668792173832962913/16144744463895528896*c_1001_1^5 - 47618610423632679315/8072372231947764448*c_1001_1^4 - 8993555941515401921/849723392836606784*c_1001_1^3 - 92753243983926651311/8072372231947764448*c_1001_1^2 - 29860791362200447981/4036186115973882224*c_1001_1 - 53247134459625263131/16144744463895528896, c_0101_11 - 63112817513817/148116921687114944*c_1001_1^11 + 10030668043043/148116921687114944*c_1001_1^10 - 242259577079107/18514615210889368*c_1001_1^9 - 2658003538449519/148116921687114944*c_1001_1^8 - 21469542715279373/148116921687114944*c_1001_1^7 - 58077429293848943/148116921687114944*c_1001_1^6 - 138760414271753489/148116921687114944*c_1001_1^5 - 158266373117522859/74058460843557472*c_1001_1^4 - 27549645195866337/7795627457216576*c_1001_1^3 - 264854937027991887/74058460843557472*c_1001_1^2 - 67057545752994049/37029230421778736*c_1001_1 - 160841981037095003/148116921687114944, c_0101_5 - 1, c_0110_10 + 7739030172073631/16144744463895528896*c_1001_1^11 - 13101105521169429/16144744463895528896*c_1001_1^10 + 30689283719989083/2018093057986941112*c_1001_1^9 - 47053849089829959/16144744463895528896*c_1001_1^8 + 2293213691545676971/16144744463895528896*c_1001_1^7 + 3192850716968081577/16144744463895528896*c_1001_1^6 + 7301380985716590167/16144744463895528896*c_1001_1^5 + 8243927161387995493/8072372231947764448*c_1001_1^4 + 623885596976534919/849723392836606784*c_1001_1^3 - 11109728697626488815/8072372231947764448*c_1001_1^2 - 3414941209513483773/4036186115973882224*c_1001_1 - 19840570849150457043/16144744463895528896, c_1001_1^12 + 31*c_1001_1^10 + 47*c_1001_1^9 + 354*c_1001_1^8 + 990*c_1001_1^7 + 2390*c_1001_1^6 + 5577*c_1001_1^5 + 9469*c_1001_1^4 + 9783*c_1001_1^3 + 7950*c_1001_1^2 + 3551*c_1001_1 + 1009 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 12.580 Total time: 12.789 seconds, Total memory usage: 80.94MB