Magma V2.19-8 Wed Aug 21 2013 01:06:01 on localhost [Seed = 863316886] Type ? for help. Type -D to quit. Loading file "L14n3025__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n3025 geometric_solution 12.23951818 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 0 1 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 -1 0 1 0 0 -1 1 0 1 0 -1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602689309223 1.090146746391 0 0 5 4 0132 1302 0132 0132 0 0 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 0 0 0 0 -1 0 1 0 0 0 0 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611582749619 0.702570620161 6 0 6 7 0132 0132 3012 0132 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 1 0 -1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301549154678 0.723132238604 8 9 7 0 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 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 0.187983362721 0.487607987654 8 10 1 8 2103 0132 0132 3201 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 -1 1 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 0.602689309223 1.090146746391 10 10 9 1 0132 1230 3201 0132 0 0 1 0 0 -1 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 0 0 0 0 0 1 -1 0 -1 0 1 0 -10 9 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.684349614539 1.006452291647 2 2 9 8 0132 1230 0321 2103 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.691019744863 0.715438542839 10 3 2 11 3120 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473308156523 0.979453449745 3 4 4 6 0132 2310 2103 2103 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 -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 0.602689309223 1.090146746391 5 3 6 11 2310 0132 0321 2310 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 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 0.473308156523 0.979453449745 5 4 5 7 0132 0132 3012 3120 0 0 0 1 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 1 0 -1 0 0 0 0 0 10 -1 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538001368688 0.679447421820 9 12 7 12 3201 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.270014425202 0.899714334373 11 11 12 12 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509792400478 0.251137486481 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0110_12']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0101_12'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0110_12']), 'c_1010_10' : negation(d['c_0011_7']), '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'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_12']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_7']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : negation(d['c_0101_2']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(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_0101_12'], 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0110_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], '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_6']), 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0101_2']), '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_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_6, c_0110_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 389497130851179841841/32863363829152*c_0110_12^8 + 702465982954743611781/16431681914576*c_0110_12^7 - 968682837860967612649/32863363829152*c_0110_12^6 + 7608778843910106220/1026980119661*c_0110_12^5 - 208572802368557224051/16431681914576*c_0110_12^4 + 309766136389561150701/32863363829152*c_0110_12^3 - 39586021393225233725/16431681914576*c_0110_12^2 + 39645046382401894141/32863363829152*c_0110_12 - 7610693876280871957/16431681914576, c_0011_0 - 1, c_0011_10 + 858028325089/7896050896*c_0110_12^8 - 2595450107419/7896050896*c_0110_12^7 + 534718563597/7896050896*c_0110_12^6 + 73171158295/7896050896*c_0110_12^5 + 202014949361/1974012724*c_0110_12^4 - 196586244247/7896050896*c_0110_12^3 + 7881358123/7896050896*c_0110_12^2 - 51702979633/7896050896*c_0110_12 - 2183315537/7896050896, c_0011_11 - 242271630029/1974012724*c_0110_12^8 + 340037937157/987006362*c_0110_12^7 - 18784738327/1974012724*c_0110_12^6 + 10493405455/987006362*c_0110_12^5 - 116687476699/987006362*c_0110_12^4 + 16691882453/1974012724*c_0110_12^3 + 256138263/987006362*c_0110_12^2 + 14412926279/1974012724*c_0110_12 + 585315901/493503181, c_0011_3 + 479795651387/7896050896*c_0110_12^8 - 1399824353089/7896050896*c_0110_12^7 + 165109049043/7896050896*c_0110_12^6 + 21811726001/7896050896*c_0110_12^5 + 107585729957/1974012724*c_0110_12^4 - 62916427837/7896050896*c_0110_12^3 + 4656510489/7896050896*c_0110_12^2 - 24149378791/7896050896*c_0110_12 - 517597463/7896050896, c_0011_7 + 479795651387/7896050896*c_0110_12^8 - 1399824353089/7896050896*c_0110_12^7 + 165109049043/7896050896*c_0110_12^6 + 21811726001/7896050896*c_0110_12^5 + 107585729957/1974012724*c_0110_12^4 - 62916427837/7896050896*c_0110_12^3 + 4656510489/7896050896*c_0110_12^2 - 24149378791/7896050896*c_0110_12 - 517597463/7896050896, c_0101_0 - 1, c_0101_1 - 858028325089/7896050896*c_0110_12^8 + 2595450107419/7896050896*c_0110_12^7 - 534718563597/7896050896*c_0110_12^6 - 73171158295/7896050896*c_0110_12^5 - 202014949361/1974012724*c_0110_12^4 + 196586244247/7896050896*c_0110_12^3 - 7881358123/7896050896*c_0110_12^2 + 51702979633/7896050896*c_0110_12 + 2183315537/7896050896, c_0101_11 - 98779929963/7896050896*c_0110_12^8 + 287033382233/7896050896*c_0110_12^7 - 72870582227/7896050896*c_0110_12^6 + 160508686359/7896050896*c_0110_12^5 - 57430079465/1974012724*c_0110_12^4 + 24294853821/7896050896*c_0110_12^3 - 7725495633/7896050896*c_0110_12^2 + 30275492359/7896050896*c_0110_12 + 3838470927/7896050896, c_0101_12 - 679798729441/7896050896*c_0110_12^8 + 1876874629595/7896050896*c_0110_12^7 + 43850862327/7896050896*c_0110_12^6 + 14598763461/7896050896*c_0110_12^5 - 150867048687/1974012724*c_0110_12^4 + 23161888983/7896050896*c_0110_12^3 + 8240109165/7896050896*c_0110_12^2 + 38335320437/7896050896*c_0110_12 + 7187020221/7896050896, c_0101_2 + 1, c_0101_3 + 195255469383/3948025448*c_0110_12^8 - 516722880967/3948025448*c_0110_12^7 - 81420338981/3948025448*c_0110_12^6 + 27374858359/3948025448*c_0110_12^5 + 17089785994/493503181*c_0110_12^4 + 10221875923/3948025448*c_0110_12^3 - 7215556113/3948025448*c_0110_12^2 - 1613416983/3948025448*c_0110_12 - 2504493013/3948025448, c_0101_6 - 289287790675/3948025448*c_0110_12^8 + 843428867661/3948025448*c_0110_12^7 - 118989815635/3948025448*c_0110_12^6 + 69348480179/3948025448*c_0110_12^5 - 82507904711/987006362*c_0110_12^4 + 43605640829/3948025448*c_0110_12^3 - 6191003061/3948025448*c_0110_12^2 + 27212435575/3948025448*c_0110_12 + 2178034195/3948025448, c_0110_12^9 - 584/169*c_0110_12^8 + 328/169*c_0110_12^7 - 42/169*c_0110_12^6 + 165/169*c_0110_12^5 - 107/169*c_0110_12^4 + 14/169*c_0110_12^3 - 12/169*c_0110_12^2 + 4/169*c_0110_12 + 1/169 ], 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_2, c_0101_3, c_0101_6, c_0110_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 20900616383257673270789188957180402507/8707626914841272240072889526\ 75781376*c_0110_12^10 + 1220957787950063481941666795811899545/43538\ 1345742063612003644476337890688*c_0110_12^9 - 7986189352241183983024203042996871801/18140889405919317166818519847\ 412112*c_0110_12^8 + 126770652119623047992084485181688260947/435381\ 345742063612003644476337890688*c_0110_12^7 + 139442311122477886260835124901472498795/870762691484127224007288952\ 675781376*c_0110_12^6 + 528462012007570753654234546445767985765/870\ 762691484127224007288952675781376*c_0110_12^5 - 74077367814206082390279413410725680641/2176906728710318060018222381\ 68945344*c_0110_12^4 - 3076799649586157710151868346964847575/604696\ 3135306439055606173282470704*c_0110_12^3 + 1929382424135697012863024041468426103/68028335272197439375569449427\ 79542*c_0110_12^2 - 37481324699906235648806017535661119543/29025423\ 0494709074669096317558593792*c_0110_12 - 93106573644836872667006901439901230901/4353813457420636120036444763\ 37890688, c_0011_0 - 1, c_0011_10 + 2972633254763873133136466861/423367859364730032598625868688\ *c_0110_12^10 + 39173674183044814382894477559/423367859364730032598\ 625868688*c_0110_12^9 - 88128923630813725683432162165/4233678593647\ 30032598625868688*c_0110_12^8 - 654208070306598929684088686475/4233\ 67859364730032598625868688*c_0110_12^7 + 598903706949188383107113156871/211683929682365016299312934344*c_011\ 0_12^6 - 587203882172648663224634389131/423367859364730032598625868\ 688*c_0110_12^5 + 933652812899208862485933094557/423367859364730032\ 598625868688*c_0110_12^4 - 1746320857647509392131704214527/42336785\ 9364730032598625868688*c_0110_12^3 + 634054579259253416399567417537/423367859364730032598625868688*c_011\ 0_12^2 + 348767654644476309358509633933/211683929682365016299312934\ 344*c_0110_12 - 40007620078228816252779182194/264604912102956270374\ 14116793, c_0011_11 - 2976329766393512459614388241/26460491210295627037414116793*\ c_0110_12^10 + 5779987814001812680338819667/10584196484118250814965\ 6467172*c_0110_12^9 + 107952424877517567859740839761/52920982420591\ 254074828233586*c_0110_12^8 - 270491540729506704957889402967/105841\ 964841182508149656467172*c_0110_12^7 + 31551660899777320502689802701/52920982420591254074828233586*c_0110_\ 12^6 - 201148976584075426895131983519/52920982420591254074828233586\ *c_0110_12^5 + 492041142446167735278481971877/105841964841182508149\ 656467172*c_0110_12^4 + 29915031799460120744301511587/5292098242059\ 1254074828233586*c_0110_12^3 - 68744297638508853379780315325/105841\ 964841182508149656467172*c_0110_12^2 + 5129380420437684933338194418/26460491210295627037414116793*c_0110_1\ 2 - 214059380476138995596633412/26460491210295627037414116793, c_0011_3 + 10923644968291680425118073757/423367859364730032598625868688\ *c_0110_12^10 - 14221041768933788803385740381/423367859364730032598\ 625868688*c_0110_12^9 - 189385127464654747706850565601/423367859364\ 730032598625868688*c_0110_12^8 + 406177534117923559240646294389/423\ 367859364730032598625868688*c_0110_12^7 - 177441650359706340785915751245/211683929682365016299312934344*c_011\ 0_12^6 + 536554021167024923992538991221/423367859364730032598625868\ 688*c_0110_12^5 - 536182219376587017254778490887/423367859364730032\ 598625868688*c_0110_12^4 + 389101937413350367162456617909/423367859\ 364730032598625868688*c_0110_12^3 - 196130361533090597552080880791/423367859364730032598625868688*c_011\ 0_12^2 - 157965793005111092069448506991/211683929682365016299312934\ 344*c_0110_12 + 45025894089887691225660750889/529209824205912540748\ 28233586, c_0011_7 + 10923644968291680425118073757/423367859364730032598625868688\ *c_0110_12^10 - 14221041768933788803385740381/423367859364730032598\ 625868688*c_0110_12^9 - 189385127464654747706850565601/423367859364\ 730032598625868688*c_0110_12^8 + 406177534117923559240646294389/423\ 367859364730032598625868688*c_0110_12^7 - 177441650359706340785915751245/211683929682365016299312934344*c_011\ 0_12^6 + 536554021167024923992538991221/423367859364730032598625868\ 688*c_0110_12^5 - 536182219376587017254778490887/423367859364730032\ 598625868688*c_0110_12^4 + 389101937413350367162456617909/423367859\ 364730032598625868688*c_0110_12^3 - 196130361533090597552080880791/423367859364730032598625868688*c_011\ 0_12^2 - 157965793005111092069448506991/211683929682365016299312934\ 344*c_0110_12 + 45025894089887691225660750889/529209824205912540748\ 28233586, c_0101_0 - 1, c_0101_1 + 2972633254763873133136466861/423367859364730032598625868688*\ c_0110_12^10 + 39173674183044814382894477559/4233678593647300325986\ 25868688*c_0110_12^9 - 88128923630813725683432162165/42336785936473\ 0032598625868688*c_0110_12^8 - 654208070306598929684088686475/42336\ 7859364730032598625868688*c_0110_12^7 + 598903706949188383107113156871/211683929682365016299312934344*c_011\ 0_12^6 - 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