Magma V2.19-8 Tue Aug 20 2013 23:50:55 on localhost [Seed = 2934490527] Type ? for help. Type -D to quit. Loading file "L13a3621__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a3621 geometric_solution 10.00813915 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 3201 0132 0132 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 0 -1 0 0 0 0 -1 1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747853511269 0.504683236187 0 4 0 5 0132 0132 2310 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 0 -4 4 0 -3 0 3 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125852985632 0.568772713475 5 6 7 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 4 0 -4 0 0 4 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.678904818037 0.282499454818 6 4 0 8 2310 2310 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 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 0.678904818037 0.282499454818 9 1 5 3 0132 0132 3012 3201 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 1 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.663070849291 1.722421090240 2 4 1 9 0132 1230 0132 3201 0 0 0 0 0 0 0 0 -1 0 1 0 1 -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 4 0 -4 0 -3 3 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.663070849291 1.722421090240 10 2 3 11 0132 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 0.861093351374 0.454156839484 8 11 11 2 1302 0132 1302 0132 0 0 0 1 0 0 0 0 -1 0 0 1 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 0 0 0 4 0 0 -4 -3 0 0 3 1 12 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.912602730942 1.103175337561 10 7 3 10 3201 2031 0132 1302 0 0 1 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 3 1 -4 0 0 0 0 0 -1 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.912602730942 1.103175337561 4 5 9 9 0132 2310 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 0.109383501691 0.559181210176 6 11 8 8 0132 2310 2031 2310 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 0 0 0 0 0 0 1 -1 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554793094869 0.538176427925 7 7 6 10 2031 0132 0132 3201 0 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 0 0 0 0 0 0 0 0 0 0 0 0 13 -12 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554793094869 0.538176427925 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0110_11']), 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0110_11'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_0101_4']), 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_11' : d['c_0110_11'], 'c_1010_10' : negation(d['c_0110_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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_1100_9' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0101_10'], 'c_1100_3' : d['c_0101_10'], 'c_1100_2' : d['c_0101_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0011_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0101_2']), 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0011_10'], 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0110_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_6, c_0110_11, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2832409876662938/5744601849*c_1001_11^5 - 6505860962590847/820657407*c_1001_11^4 + 129728441163965995/5744601849*c_1001_11^3 - 27073979858263399/1914867283*c_1001_11^2 - 10500063603845219/1641314814*c_1001_11 - 927783450124507/1914867283, c_0011_0 - 1, c_0011_10 - 132964/33523*c_1001_11^5 + 304135/4789*c_1001_11^4 - 5975260/33523*c_1001_11^3 + 3815081/33523*c_1001_11^2 + 197512/4789*c_1001_11 + 70125/33523, c_0011_11 + 1, c_0101_0 + 210860/33523*c_1001_11^5 - 3386812/33523*c_1001_11^4 + 9634935/33523*c_1001_11^3 - 6367352/33523*c_1001_11^2 - 2124054/33523*c_1001_11 - 94368/33523, c_0101_1 + 458536/33523*c_1001_11^5 - 7379268/33523*c_1001_11^4 + 21108264/33523*c_1001_11^3 - 1920907/4789*c_1001_11^2 - 5729060/33523*c_1001_11 - 384855/33523, c_0101_10 + 110136/33523*c_1001_11^5 - 1742156/33523*c_1001_11^4 + 4631170/33523*c_1001_11^3 - 2525620/33523*c_1001_11^2 - 1349274/33523*c_1001_11 - 91764/33523, c_0101_2 + 105170/33523*c_1001_11^5 - 1651845/33523*c_1001_11^4 + 611134/4789*c_1001_11^3 - 2513933/33523*c_1001_11^2 - 639092/33523*c_1001_11 - 28449/33523, c_0101_4 + 27274/33523*c_1001_11^5 - 393978/33523*c_1001_11^4 + 618263/33523*c_1001_11^3 + 38338/33523*c_1001_11^2 + 102378/33523*c_1001_11 - 4206/33523, c_0101_6 - c_1001_11, c_0110_11 + 848107/33523*c_1001_11^5 - 1949844/4789*c_1001_11^4 + 39052282/33523*c_1001_11^3 - 24979314/33523*c_1001_11^2 - 1496969/4789*c_1001_11 - 702990/33523, c_1001_1 + 210860/33523*c_1001_11^5 - 3386812/33523*c_1001_11^4 + 9634935/33523*c_1001_11^3 - 6367352/33523*c_1001_11^2 - 2124054/33523*c_1001_11 - 94368/33523, c_1001_11^6 - 16*c_1001_11^5 + 579/13*c_1001_11^4 - 326/13*c_1001_11^3 - 198/13*c_1001_11^2 - 2*c_1001_11 - 1/13 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_6, c_0110_11, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 90843161311819013739790000567/573191818553982302029681298144*c_1001\ _11^11 - 662972472312355539139224092481/573191818553982302029681298\ 144*c_1001_11^10 + 207679514036296839273594267831/35824488659623893\ 876855081134*c_1001_11^9 - 21487585167704677307044486367/1477298501\ 427789438220828088*c_1001_11^8 + 14536871327058689155697485644253/5\ 73191818553982302029681298144*c_1001_11^7 - 20731649374623886534694635856103/573191818553982302029681298144*c_1\ 001_11^6 + 21630168112735692991707749938035/57319181855398230202968\ 1298144*c_1001_11^5 - 14737966884966278924450623797393/573191818553\ 982302029681298144*c_1001_11^4 + 17980138170786164983190255627977/5\ 73191818553982302029681298144*c_1001_11^3 - 3058495463901080885942843381075/573191818553982302029681298144*c_10\ 01_11^2 + 6516802444711126340985150060631/2865959092769911510148406\ 49072*c_1001_11 - 2037883922470511370298405765789/28659590927699115\ 1014840649072, c_0011_0 - 1, c_0011_10 - 1182891134423315050929/202123033946005122273374*c_1001_11^1\ 1 + 4980034152696609713091/202123033946005122273374*c_1001_11^10 - 9524969816035644221643/101061516973002561136687*c_1001_11^9 - 29008304168212402976/1041871309000026403471*c_1001_11^8 + 48063716606854294037297/202123033946005122273374*c_1001_11^7 - 58210368961537069134187/202123033946005122273374*c_1001_11^6 + 146588652948523646488945/202123033946005122273374*c_1001_11^5 - 216380918827542116682399/202123033946005122273374*c_1001_11^4 - 81798421054717481503489/202123033946005122273374*c_1001_11^3 - 412779264108917117254305/202123033946005122273374*c_1001_11^2 - 145966323374744078092472/101061516973002561136687*c_1001_11 - 109313660814707845189586/101061516973002561136687, c_0011_11 + 1, c_0101_0 - 4785334588193266532451/808492135784020489093496*c_1001_11^11 + 44276506799074714849589/808492135784020489093496*c_1001_11^10 - 121994642912761181033373/404246067892010244546748*c_1001_11^9 + 991635065210157854228/1041871309000026403471*c_1001_11^8 - 1523761787718503637520173/808492135784020489093496*c_1001_11^7 + 2046148175860003959420435/808492135784020489093496*c_1001_11^6 - 1949570855929557685026461/808492135784020489093496*c_1001_11^5 + 1196689414310017257082609/808492135784020489093496*c_1001_11^4 - 470207152375292591790027/808492135784020489093496*c_1001_11^3 + 967801900818421269395/808492135784020489093496*c_1001_11^2 - 49020688134753486688113/101061516973002561136687*c_1001_11 + 8574077851072984224091/23779180464235896738044, c_0101_1 - 4410559594512548954529/808492135784020489093496*c_1001_11^11 + 22792132641821295011801/808492135784020489093496*c_1001_11^10 - 48703367783767744717541/404246067892010244546748*c_1001_11^9 + 124328679786707205319/1041871309000026403471*c_1001_11^8 - 30289527299724899092799/808492135784020489093496*c_1001_11^7 + 24627230966725844293559/808492135784020489093496*c_1001_11^6 + 29183263583618277957293/808492135784020489093496*c_1001_11^5 + 122482525680192349920581/808492135784020489093496*c_1001_11^4 - 1028711495844113699912077/808492135784020489093496*c_1001_11^3 - 630669720441361629332553/808492135784020489093496*c_1001_11^2 - 189391985954620126146141/202123033946005122273374*c_1001_11 - 461005554777469475281089/404246067892010244546748, c_0101_10 + 448943103085165182663/404246067892010244546748*c_1001_11^11 - 4884200462737014368679/404246067892010244546748*c_1001_11^10 + 12816184170528920398615/202123033946005122273374*c_1001_11^9 - 210573763242631450463/1041871309000026403471*c_1001_11^8 + 129132158042225984849305/404246067892010244546748*c_1001_11^7 - 140184358598473604564665/404246067892010244546748*c_1001_11^6 + 114317066378670799560989/404246067892010244546748*c_1001_11^5 + 38127313825000422029577/404246067892010244546748*c_1001_11^4 - 147823733295446231720029/404246067892010244546748*c_1001_11^3 - 188323620417178878434301/404246067892010244546748*c_1001_11^2 - 126431911278978694066119/101061516973002561136687*c_1001_11 - 124196676062728092798623/202123033946005122273374, c_0101_2 - 1182891134423315050929/202123033946005122273374*c_1001_11^11 + 4980034152696609713091/202123033946005122273374*c_1001_11^10 - 9524969816035644221643/101061516973002561136687*c_1001_11^9 - 29008304168212402976/1041871309000026403471*c_1001_11^8 + 48063716606854294037297/202123033946005122273374*c_1001_11^7 - 58210368961537069134187/202123033946005122273374*c_1001_11^6 + 146588652948523646488945/202123033946005122273374*c_1001_11^5 - 216380918827542116682399/202123033946005122273374*c_1001_11^4 - 81798421054717481503489/202123033946005122273374*c_1001_11^3 - 412779264108917117254305/202123033946005122273374*c_1001_11^2 - 145966323374744078092472/101061516973002561136687*c_1001_11 - 109313660814707845189586/101061516973002561136687, c_0101_4 - 4373882514786045728571/404246067892010244546748*c_1001_11^11 + 30634097197365946979365/404246067892010244546748*c_1001_11^10 - 75172915095381293713009/202123033946005122273374*c_1001_11^9 + 905876470025704413124/1041871309000026403471*c_1001_11^8 - 562854237849158596132281/404246067892010244546748*c_1001_11^7 + 42442732944285409493699/23779180464235896738044*c_1001_11^6 - 579129340924635048736265/404246067892010244546748*c_1001_11^5 + 212361308978016218198497/404246067892010244546748*c_1001_11^4 - 575090279429484204325943/404246067892010244546748*c_1001_11^3 - 155445902806279808015373/404246067892010244546748*c_1001_11^2 - 134814323606611161891307/101061516973002561136687*c_1001_11 - 14286343686206207391325/202123033946005122273374, c_0101_6 - c_1001_11, c_0110_11 - 848147951521/51834027843596*c_1001_11^11 + 5722377582237/51834027843596*c_1001_11^10 - 13375231715955/25917013921798*c_1001_11^9 + 139679213971/133592855267*c_1001_11^8 - 61182897662355/51834027843596*c_1001_11^7 + 42776849784787/51834027843596*c_1001_11^6 + 6559717591073/51834027843596*c_1001_11^5 - 78660463805611/51834027843596*c_1001_11^4 - 2952119807289/51834027843596*c_1001_11^3 - 85378109122753/51834027843596*c_1001_11^2 - 16033724930726/12958506960899*c_1001_11 - 18267920092635/25917013921798, c_1001_1 - 4785334588193266532451/808492135784020489093496*c_1001_11^11 + 44276506799074714849589/808492135784020489093496*c_1001_11^10 - 121994642912761181033373/404246067892010244546748*c_1001_11^9 + 991635065210157854228/1041871309000026403471*c_1001_11^8 - 1523761787718503637520173/808492135784020489093496*c_1001_11^7 + 2046148175860003959420435/808492135784020489093496*c_1001_11^6 - 1949570855929557685026461/808492135784020489093496*c_1001_11^5 + 1196689414310017257082609/808492135784020489093496*c_1001_11^4 - 470207152375292591790027/808492135784020489093496*c_1001_11^3 + 967801900818421269395/808492135784020489093496*c_1001_11^2 - 49020688134753486688113/101061516973002561136687*c_1001_11 + 8574077851072984224091/23779180464235896738044, c_1001_11^12 - 82/13*c_1001_11^11 + 389/13*c_1001_11^10 - 774/13*c_1001_11^9 + 1155/13*c_1001_11^8 - 1510/13*c_1001_11^7 + 1164/13*c_1001_11^6 - 372/13*c_1001_11^5 + 1632/13*c_1001_11^4 + 1528/13*c_1001_11^3 + 2473/13*c_1001_11^2 + 1322/13*c_1001_11 + 842/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB