Magma V2.19-8 Tue Aug 20 2013 23:47:17 on localhost [Seed = 374373460] Type ? for help. Type -D to quit. Loading file "K9a7__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K9a7 geometric_solution 10.83372911 oriented_manifold CS_known 0.0000000000000007 1 0 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 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 0 -1 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 0.495270481454 0.617048882614 0 3 5 4 0132 2103 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 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 0.857772641947 0.965008123490 6 0 6 0 0132 0132 3012 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 -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 0.794222749327 0.970964134277 7 1 0 6 0132 2103 0132 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 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 1.273354781141 1.527653054046 8 6 1 9 0132 0321 0132 0132 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 0 0 0 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 0.334101803588 0.390178805564 7 10 10 1 3120 0132 1302 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 1 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.218716690173 1.236102784574 2 2 3 4 0132 1230 2031 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.208886393682 0.985634688677 3 11 8 5 0132 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.429712664082 0.770664339537 4 9 11 7 0132 2103 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.102826770098 0.898725014303 11 8 4 10 0321 2103 0132 1302 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 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447181506239 0.845923979009 5 5 9 11 2031 0132 2031 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.138798377212 0.784435154128 9 7 8 10 0321 0132 0321 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.464974466562 1.576489259119 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_4']), 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_0011_9'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : 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' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_1001_4'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_1001_7'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_1001_7']), 'c_1010_8' : d['c_1001_7'], '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'], 's_1_7' : d['1'], 's_1_6' : negation(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_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_11']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_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_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_1001_4, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 36/7*c_1001_7^5 + 201/28*c_1001_7^4 + 3/4*c_1001_7^3 - 50/7*c_1001_7^2 + 81/14*c_1001_7 - 97/28, c_0011_0 - 1, c_0011_10 + c_1001_7^5 - 2*c_1001_7^3 + c_1001_7, c_0011_11 - c_1001_7^4 - c_1001_7^3 + c_1001_7^2 + c_1001_7, c_0011_4 - c_1001_7^2 + 1, c_0011_9 - 1, c_0101_0 + c_1001_7^3 - 2*c_1001_7, c_0101_1 - c_1001_7^2 + 1, c_0101_10 - c_1001_7^4 - 2*c_1001_7^3 + c_1001_7^2 + 2*c_1001_7 - 1, c_0101_11 - c_1001_7^4 - c_1001_7^3 + c_1001_7^2 + c_1001_7, c_0101_6 + c_1001_7, c_1001_4 + c_1001_7^5 - 2*c_1001_7^3 + c_1001_7, c_1001_7^6 - 2*c_1001_7^4 + c_1001_7^3 + c_1001_7^2 - c_1001_7 + 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_1001_4, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 213850793731381159/2162140090475024*c_1001_7^16 - 2986432508170043979/8648560361900096*c_1001_7^15 - 5382588714284985427/8648560361900096*c_1001_7^14 - 4680170038789104707/2162140090475024*c_1001_7^13 - 30675952619073601091/8648560361900096*c_1001_7^12 - 7432204448478589573/786232760172736*c_1001_7^11 - 6293060197442294193/786232760172736*c_1001_7^10 - 150345502544952700137/8648560361900096*c_1001_7^9 - 80259318677320592499/8648560361900096*c_1001_7^8 - 15071050229244675753/786232760172736*c_1001_7^7 - 63994073261925478767/8648560361900096*c_1001_7^6 - 372205578094584061/35444919515984*c_1001_7^5 - 1625799988364055441/393116380086368*c_1001_7^4 - 1168952331305698911/540535022618756*c_1001_7^3 - 8769312346958885897/4324280180950048*c_1001_7^2 - 525569310645424189/4324280180950048*c_1001_7 - 5031936577226928793/8648560361900096, c_0011_0 - 1, c_0011_10 - 740462449669/1611132705272*c_1001_7^16 - 1055205785799/805566352636*c_1001_7^15 - 2623913433271/1611132705272*c_1001_7^14 - 12167509019725/1611132705272*c_1001_7^13 - 7479265346287/805566352636*c_1001_7^12 - 11948838491093/402783176318*c_1001_7^11 - 1905376047301/402783176318*c_1001_7^10 - 34492733408925/805566352636*c_1001_7^9 + 7315233661937/805566352636*c_1001_7^8 - 17179077041673/402783176318*c_1001_7^7 + 24396168633963/1611132705272*c_1001_7^6 - 2104539705492/201391588159*c_1001_7^5 + 424847238364/201391588159*c_1001_7^4 + 528231969137/402783176318*c_1001_7^3 - 2656078229749/805566352636*c_1001_7^2 + 207958523785/1611132705272*c_1001_7 + 504243486739/1611132705272, c_0011_11 - 1062592938639/1611132705272*c_1001_7^16 - 342615488483/201391588159*c_1001_7^15 - 3408476118499/1611132705272*c_1001_7^14 - 17569849886907/1611132705272*c_1001_7^13 - 4458663900119/402783176318*c_1001_7^12 - 34832076105023/805566352636*c_1001_7^11 + 737412097687/805566352636*c_1001_7^10 - 15245897098298/201391588159*c_1001_7^9 + 14008336197469/402783176318*c_1001_7^8 - 72609681837687/805566352636*c_1001_7^7 + 91028329074491/1611132705272*c_1001_7^6 - 10179457459868/201391588159*c_1001_7^5 + 6366357708065/201391588159*c_1001_7^4 - 5027052367629/402783176318*c_1001_7^3 + 2839731834813/805566352636*c_1001_7^2 - 1987179400497/1611132705272*c_1001_7 + 1043434904595/1611132705272, c_0011_4 - 750645625383/1611132705272*c_1001_7^16 - 588718693297/805566352636*c_1001_7^15 - 509222610021/1611132705272*c_1001_7^14 - 10133219627367/1611132705272*c_1001_7^13 - 76017735025/805566352636*c_1001_7^12 - 9268129113057/402783176318*c_1001_7^11 + 12605693784917/402783176318*c_1001_7^10 - 44544834540791/805566352636*c_1001_7^9 + 65140422282299/805566352636*c_1001_7^8 - 35101438110969/402783176318*c_1001_7^7 + 178855476711457/1611132705272*c_1001_7^6 - 14837535501696/201391588159*c_1001_7^5 + 13209334323520/201391588159*c_1001_7^4 - 10917339679399/402783176318*c_1001_7^3 + 12772967107929/805566352636*c_1001_7^2 - 3331091229197/1611132705272*c_1001_7 + 1285554626241/1611132705272, c_0011_9 + 593652282975/1611132705272*c_1001_7^16 + 130110605094/201391588159*c_1001_7^15 + 741693989287/1611132705272*c_1001_7^14 + 8505638213795/1611132705272*c_1001_7^13 + 540497824563/402783176318*c_1001_7^12 + 16137448159089/805566352636*c_1001_7^11 - 15758803502391/805566352636*c_1001_7^10 + 18743735642865/402783176318*c_1001_7^9 - 22290364830285/402783176318*c_1001_7^8 + 58057960317197/805566352636*c_1001_7^7 - 127567212133731/1611132705272*c_1001_7^6 + 24428569399279/402783176318*c_1001_7^5 - 20065894671303/402783176318*c_1001_7^4 + 4833078886254/201391588159*c_1001_7^3 - 10207821797647/805566352636*c_1001_7^2 + 3624258158133/1611132705272*c_1001_7 - 1198881465999/1611132705272, c_0101_0 + 780426223611/1611132705272*c_1001_7^16 + 208314726456/201391588159*c_1001_7^15 + 1418653900163/1611132705272*c_1001_7^14 + 11248200833159/1611132705272*c_1001_7^13 + 1652728896507/402783176318*c_1001_7^12 + 20951673299041/805566352636*c_1001_7^11 - 14080365445435/805566352636*c_1001_7^10 + 19064443797869/402783176318*c_1001_7^9 - 21419549200249/402783176318*c_1001_7^8 + 50435392861077/805566352636*c_1001_7^7 - 115292423876343/1611132705272*c_1001_7^6 + 16396305651223/402783176318*c_1001_7^5 - 15120662349563/402783176318*c_1001_7^4 + 2778007003794/201391588159*c_1001_7^3 - 5062302552891/805566352636*c_1001_7^2 + 3034630819769/1611132705272*c_1001_7 - 1659195241515/1611132705272, c_0101_1 - 750645625383/1611132705272*c_1001_7^16 - 588718693297/805566352636*c_1001_7^15 - 509222610021/1611132705272*c_1001_7^14 - 10133219627367/1611132705272*c_1001_7^13 - 76017735025/805566352636*c_1001_7^12 - 9268129113057/402783176318*c_1001_7^11 + 12605693784917/402783176318*c_1001_7^10 - 44544834540791/805566352636*c_1001_7^9 + 65140422282299/805566352636*c_1001_7^8 - 35101438110969/402783176318*c_1001_7^7 + 178855476711457/1611132705272*c_1001_7^6 - 14837535501696/201391588159*c_1001_7^5 + 13209334323520/201391588159*c_1001_7^4 - 10917339679399/402783176318*c_1001_7^3 + 12772967107929/805566352636*c_1001_7^2 - 3331091229197/1611132705272*c_1001_7 + 1285554626241/1611132705272, c_0101_10 - 1152445709415/805566352636*c_1001_7^16 - 1607119685601/402783176318*c_1001_7^15 - 4464323545197/805566352636*c_1001_7^14 - 20250250798367/805566352636*c_1001_7^13 - 11993724842367/402783176318*c_1001_7^12 - 20589033975619/201391588159*c_1001_7^11 - 4427803307661/201391588159*c_1001_7^10 - 71670467515939/402783176318*c_1001_7^9 + 14245426308773/402783176318*c_1001_7^8 - 41459755566909/201391588159*c_1001_7^7 + 66016508372213/805566352636*c_1001_7^6 - 22826285500943/201391588159*c_1001_7^5 + 10227228251083/201391588159*c_1001_7^4 - 5905894975177/201391588159*c_1001_7^3 + 2102275762445/402783176318*c_1001_7^2 - 3108841374733/805566352636*c_1001_7 + 409116027697/805566352636, c_0101_11 - 1062592938639/1611132705272*c_1001_7^16 - 342615488483/201391588159*c_1001_7^15 - 3408476118499/1611132705272*c_1001_7^14 - 17569849886907/1611132705272*c_1001_7^13 - 4458663900119/402783176318*c_1001_7^12 - 34832076105023/805566352636*c_1001_7^11 + 737412097687/805566352636*c_1001_7^10 - 15245897098298/201391588159*c_1001_7^9 + 14008336197469/402783176318*c_1001_7^8 - 72609681837687/805566352636*c_1001_7^7 + 91028329074491/1611132705272*c_1001_7^6 - 10179457459868/201391588159*c_1001_7^5 + 6366357708065/201391588159*c_1001_7^4 - 5027052367629/402783176318*c_1001_7^3 + 2839731834813/805566352636*c_1001_7^2 - 1987179400497/1611132705272*c_1001_7 + 1043434904595/1611132705272, c_0101_6 - 42721142685/1611132705272*c_1001_7^16 + 249285945533/402783176318*c_1001_7^15 + 3412437165523/1611132705272*c_1001_7^14 + 4935444297215/1611132705272*c_1001_7^13 + 2603919602350/201391588159*c_1001_7^12 + 14570017931741/805566352636*c_1001_7^11 + 45484833991859/805566352636*c_1001_7^10 + 12303696808531/402783176318*c_1001_7^9 + 19693464229259/201391588159*c_1001_7^8 + 18677872604777/805566352636*c_1001_7^7 + 174313033901821/1611132705272*c_1001_7^6 + 1689628085313/201391588159*c_1001_7^5 + 11046327155646/201391588159*c_1001_7^4 + 501484765531/402783176318*c_1001_7^3 + 11607294853915/805566352636*c_1001_7^2 + 2211742201205/1611132705272*c_1001_7 + 3828315006021/1611132705272, c_1001_4 + 54083215395/1611132705272*c_1001_7^16 + 575233208497/805566352636*c_1001_7^15 + 2981252916745/1611132705272*c_1001_7^14 + 4647944828707/1611132705272*c_1001_7^13 + 9187770041517/805566352636*c_1001_7^12 + 6086434447369/402783176318*c_1001_7^11 + 17635988672495/402783176318*c_1001_7^10 + 10389276660447/805566352636*c_1001_7^9 + 59248557055557/805566352636*c_1001_7^8 - 2399526369619/402783176318*c_1001_7^7 + 137721140866619/1611132705272*c_1001_7^6 - 4422976353809/201391588159*c_1001_7^5 + 9190029344736/201391588159*c_1001_7^4 - 3487844338751/402783176318*c_1001_7^3 + 10558651727207/805566352636*c_1001_7^2 + 2600189909457/1611132705272*c_1001_7 + 2271121468603/1611132705272, c_1001_7^17 + 3*c_1001_7^16 + 5*c_1001_7^15 + 20*c_1001_7^14 + 27*c_1001_7^13 + 86*c_1001_7^12 + 44*c_1001_7^11 + 170*c_1001_7^10 + 20*c_1001_7^9 + 214*c_1001_7^8 - 23*c_1001_7^7 + 153*c_1001_7^6 - 32*c_1001_7^5 + 60*c_1001_7^4 - 10*c_1001_7^3 + 13*c_1001_7^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB