# Classes of the cycles \Hyp_g_n_2m (natural order of markings : 1,...,n are fixed points, (n+1,n+2), ..., (n+2m-1,n+2m) are pairs of conjugate points

v=(-2/3, -2/3, 2/3, 2/3, 1, 1, 0, 0, -1/2, -1/2, 0, -1/2, -1/2, 0, -1, 0)
Hyp_0_2_4=Tautvb_to_tautclass(v,0,6,2)

v=(-1/2, 3/2, 3/2, -7/2, -1/2, 1/2)
Hyp_2_0_2=Tautvb_to_tautclass(v,2,2,1)

v=(-8, -1, 3, 2, 5, 4, -2, -2, -4, -3, 1, -3, -2, -8, -6, -5, -13/2, 7/2, 5/2, 29/2, -4, 3, 5, 5, -5, 4, 5, 8, -25/2, -13/2, 9/2, 25/2, -5, 3, 6, 8, -6, 4, 6, 11, -31/2, -15/2, 9/2, 31/2, -5/2, 3/2, 1/2, 5/2, -13/2, -9/2, 9/2, 13/2, -19/2, -11/2, 9/2, 19/2, -45, -13/2, 15, 15, 15, 15, 23/2, 2, -6, -6, -1, -3/2, 2, 2, 2, 9/2, 7/2, 0, -3, -1, 5/2, 1, 5/2, 5/2, 1, -2, -2, 3/2, 1, 3/2, 3/2, 2, 1/2, 1/2, -7/2, -3/2, 2, -1/2, 11/2, -2, -5, -1/2, 7/2, 7/2, 9/2, 9/2, -1, -1, -2, -9/2, 0, 5/2, 9/2, 7/2, 0, 0, -2, -7/2, -1, 5/2, 7/2, 5/2, 1, -1/2, -1, -1, -7/2, 3, -5/2, 0, -9/2, -3, 1/2, -5/2, -3, 1/2, -5/2, -7/2, 1/2, 1/2, 1, 1/2, 1/2, 1, 1, 0, -1, 1/2)
Hyp_2_0_4=Tautvb_to_tautclass(v,2,4,2)

v=(5546/3, -472, 118/3, -169, -113, 429, -19, 429, -19, 570, 22, 22, 194, -166, 194, -422, -416, -416, 464, 203, 464, -1934, -40, -40, -1934, -407, -73, 166, 194, 294, -880, 1512, 191, 21, 166, -182, -586, 191, 21, 166, -182, -586, -192, 448, -167, 49, -54, -54, -54, 34, 128, 4, 4, 10, 128, 4, 10, 128, 10, -166, 0, 0, 0, 0, 0, 0, 0)
Hyp_2_3_0=Tautvb_to_tautclass(v,2,3,3)

v=(3/4, -9/4, -1/8)
Hyp_3_0_0=Tautvb_to_tautclass(v,3,0,1)

v=(-35/4, 41/48, -1/24, -1/24, 31/16, -5/8, 31/16, -37/24, 31/48, -37/48, -25/16, -25/16, 35/8, 35/48, -37/48, -23/16, -9/16, 19/8, 35/48, -37/48, -23/16, -9/16, 19/8, 35/48, 11/48, 15/16, 15/16, -43/8, -13/8, 239/48, 23/48, 1/8, 5/4, 1/4, 1/4, 5/4, -175/48, -7/96, 1/2, -3/32, -3/32, 29/96)
Hyp_3_0_2=Tautvb_to_tautclass(v,3,2,2)

v=(577/2, -36, 49/2, -81, 77/2, -8, -108, -65/2, 25, 31, -83/2, -7/2, -41/2, 151/2, 13/4, -14)
Hyp_3_1_0=Tautvb_to_tautclass(v,3,1,2)

v=(-288663/70, 30008/35, -1243/21, -3413/20, 4265/84, -3413/20, 4265/84, -24814/105, -2105/42, -24814/105, 170497/210, 3744/35, 3744/35, 170497/210, 479/7, -289/14, 3268/35, -32651/105, -377/14, 208/35, 23819/105, -4784/35, -1497/70, -21771/35, -703/14, -56969/210, 3280/7, 19373/210, 20861/210, -24251/210, -7481/105, 12802/35, -10893/28, 53191/420, 1001/5, -9073/42, -13134/35, 5356/35, -150929/210, 44434/105, 11272/35, 38747/42, 52091/210, -7481/105, -25369/35, 48743/140, -50017/420, -7903/15, 19281/70, 12668/35, 5356/35, 307123/210, -58774/105, -2906/7, -55831/70, -3019/8, 154081/840, 3042/35, -33617/420, -33617/420, -32983/420, -13819/70, 2629/70, -1633/105, 25807/105, -51599/105, 379/35, 2847/70, -60187/105, 120427/105, -3394/105, -6149/70, -535/14, 2269/35, 5209/70, 6267/35, -2089/5, -382/15, 1183/30, -292/15, 259/5, -317/15, 187/15, -5/6, -332/15, -40/3, 166, -569/10, -1919/15, 188/5, 213/10, 2, -1196/15, 3153/70, 1774/105, 1774/105, -15853/105, -479/40, 151/40, -22, -19/60, -19/60, 1619/30, 1021/60)
Hyp_3_2_0=Tautvb_to_tautclass(v,3,2,3)

v=(17/2, -17/24, 7/12, -163/24, 11/12, -49/8, 31/24, 11/12, 163/24, 1/12, -5/8, 1/12, -3/8)
Hyp_4_0_0=Tautvb_to_tautclass(v,4,0,2)

v=(3587/4, -7739/48, 115/12, 2741/12, -3737/96, 4229/16, -48545/32, 2071/48, -471/64, 935/48, 403/24, -9223/192, -503/12, -14635/192, 467/32, -3031/64, -21631/24, 1289/12, -679/12, -919/24, 4351/24, 6553/48, -2167/64, 1967/192, -59/8, -3485/192, 1051/96, 107/16, -2575/112, 2225/336, 21/16, -73669/672, 1849/21, 8173/192, -45/2, -413/24, 30553/96, 29/84, -82541/336, 67/64, 209/64, -1897/192, 8/3, 219/64, -47/64, -207/32, -3, -23779/192, 547/64, 67829/192, 457/32, -1285/1344, 287/64, 17357/1344, -1275/448, -713/96, -209/32, 6525/64, -3751/48, -4537/42, 2017/16, 25/42, -19/96, -95/16, 83/8, 1017/16, -199/48, 897/32, 561/16, -8311/96, 1355/192, -5953/24, 295/96, -25/32, 75/16, 457/192, -331/24, -197/48, -127/16, -1067/192, -63/8, 141/4, -5/12, -3/128, -17/16, 51/128, 155/384, -13/128, -1009/96, 727/16, -9/32, -17/16, 1/2)
Hyp_4_1_0=Tautvb_to_tautclass(v,4,1,3)

v=(13307/360, -1583/288, 37/144, -1943/288, 5/72, 407/96, -28807/1440, 11/4, -11/12, -23/144, 89/144, 307/144, -274397/288, 34355/288, 135/32, -8219/96, 21923/1440, -31163/1440, 208729/720, -79/144, 1975/288, -11/12, 1/16, 11/12, -23/18, -4057/32, 199/32, 34147/96, 509/24, -23717/288, 10315/96, 13163/96, -1909/16, -13/36, -53/36, 425/36, 273/4, -1141/288, 26357/1440, -2063/288, -35713/144, -35/576, -1/36, 97/288, -469/480, -61/160, -71/576, -5/96, 181/288, 19/192, -1/8, 5/16, 259/288, -305/288, -13/288, -2063/192, 13285/288, 11/192, 1/12, -365/288, -7/288, -1/16, 17/48, -19/48, 7/576)
Hyp_5_0_0=Tautvb_to_tautclass(v,5,0,3)


## Hyp51 obtained in a different way from the remaining vectors - as a pullback of Hyp6
v=vector([-1308068471/768, 14991414047/69120, 76341715/1536, -88982749/4608, 8060489/13824, -23832879101/69120, 4192343/72, -23148511/6912, -864948541/4608, 156639977/4608, -3104667913/7680, 12775696907/3840, -185793983/13824, 8522423/2304, -4492783/13824, -2131267/288, 7884505/4608, -46688453/4608, 12132121/4608, -41948345/4608, -21550807/2304, -245177203/11520, 45790597/1152, 6412233/256, 117934291/2880, 132749117/1152, -25285091/768, 4104013/768, -58656013/1536, 2732774047/11520, -604900925/13824, 11043163/1152, -9625231/13824, 248802605/4608, -46830661/4608, -100954931/4608, 22680853/4608, 1840681541/23040, -121937317/2880, -29421923/60, 296140205/1152, -32849813/4608, 10947967/4608, 71421803/4608, -23804233/4608, 27102775/1152, -9031855/1152, 56952817/2304, -4185985/1152, -10892269/1536, 733301/72, 8070161/1536, 25739509/1536, 178435877/7680, -31641961/768, -4923079/512, -22065137/1280, -3214179430999/6289920, 29856603661/279552, -92511390499/12579840, -24594853/512, 15914755/2304, -21066074581/898560, 39775352447/6289920, -19021273871/898560, 4708281779/786240, 53072069/3840, -10989107/576, -13352909/1440, -7860537983/262080, -7053471067/2096640, -4001416633/139776, -21324557/640, -211463603/4608, 363757391/4608, 188857831/11520, 142790453/4608, 116044755311/1048320, 514864387/104832, 1739328001/262080, 36311791547/349440, -479985103/6144, 10212449/512, -10212449/6144, -265964627/32256, 88635761/32256, -5565755077/92160, 9903387589/276480, -57324553/5760, -3880895869/276480, 37404655/1152, -12464485/1152, 495590371/2304, -31518145/1152, -26150909/2688, -179756977/32256, 36256097/1536, -9903387589/69120, -491911493/18432, 177198179/4608, 3308373421/69120, 84083071/3840, -334062001/3840, 2576769437/898560, -86874299/99840, 2230901/28080, -118876447/576, 60650069/2304, -665590511/1536, 84205805/1536, 7188661/37440, -1183867/16640, 54585167/2304, 102306845/10752, -36102349/1536, 406165429/80640, -171497329/3840, -7562173/29952, 5412042605/18432, 8799889237/92160, -431866577/4608, -292021501/7680, 55650813/640, -10639573/576, 125284355/768, 21916471/7488, 386845/2304, -541763/9216, 514499/4608, 98821/288, -221455/1024, -359335/1152, -414873/512, -998035/4608, 4264709/4608, -12401057/4608, -9517963/3072, -1618103/2304, 616249/3072, -1522625/1536, -4243343/4608, 24654791/9216, 12393215/4608, 3150903/1024, -12293245/4608, 1910239/288, 32812541/4608, -215947/2304, 97051/4608, 3599639/1536, -12305/72, 122375/2304, -14314123/2304, -3687829/576, 810349/1536, 123661/1152, -292949/1536, -22170817/4096, 42595715/12288, 2936555/10752, -2938583/3072, -1172885/576, 367087/768, -56111155/16128, -974003/3584, 13584761/2304, -6170791/2304, 21749135/1536, 972803/1024, -19291715/768, 4559593/384, 868249/768, -289051/768, 13845989/4608, 36041/36, -20605265/4608, -16503953/2304, -108939/128, -7858309841/4193280, -424867321/465920, -28046161/4608, -38046345157/2096640, 9842095349/1048320, 1448419075/46592, -2525879/1152, 41629189/4608, 11123813/768, 8263411/4608, 748405073/11520, 7070914217/1048320, -9769086689/2096640, -43671002533/2096640, -15099388363/349440, -2870889949/34944, 129613327/199680, -9066973/39936, 128481665/4608, 24807343/49920, 313442153/599040, -123133517/4608, -43425655/768, 1612571/512, -4834457/4608, -180321197/2304, -197689/48, 1747673/768, 9807119/4608, -279237827/299520, -31446123/66560, 172831283/2304, 10151433/64, -658967981/599040, 200467/48, 1585279/192, -1363721/288, -10590643/4608, -19439323/4608, 576385/768, -4044733/1536, -5937605/2304, 40365/64, 43990627/16128, -1843507/576, -17688907/1536, 3376391/256, -2581331/576, -7916026667/786240, 38618633/4608, 76559008993/2096640, -17201698693/1048320, 100459/48, -133573/192, 16902413/4608, 36941239/2304, 1450705/1152, -23429531/2304, -186399/128, -32261894863/698880, 17425507327/1257984, 906827677/56160, -33477985/4608, -242898782131/6289920, -36366926347/1572480, -145814627/4608, -1003630249/14560, 6558831569/209664, -1446661/576, 15642113/768, 13608469/4608, 589073990879/6289920, 215913063007/6289920, 144342530701/3144960, -600703/5376, 600979/1536, 19493690677/1397760, -14890533937/4193280, 17576698873/1048320, -132423642017/2096640, 31468271/74880, -22663331/149760, -1905341843/599040, 5263825/256, 99477737/299520, 21820873/6656, -5463657/256, -320557/8, 4692983807/314496, 4145359103/599040, 2174822681/232960, -130936469633/2096640, 7463535397/174720, -49615982959/3144960, -161633791/4608, -316292314993/6289920, 114932667389/3144960, 309522496453/6289920, -11574389/19968, -369164803/49920, 171222115/4608, 17366707/256, -699456559/209664, 42239604457/262080, -1458872035/19656, -334531559077/6289920, -695446597367/6289920, -47648727283/4193280, 1887447985/838656, 25661874839/6289920, 4225153/1536, -12987636953/2096640, -134025571237/3144960, -20322994219/1572480, 21015032315/419328, -52099111/4608, -71145721817/1198080, 235741348261/8386560, -7604927459/786240, -21848759293/2096640, -10056149647/465920, 5160988171/349440, 628932329989/6289920, 93777570181/3144960, -242311476809/2096640, 8992067/768, -97321/9216, 85129/9216, 139199/2304, -381071/3072, -244165/9216, 246325/9216, 1703/36, 373585/3072, 288553/23040, -25417945/9216, -41359/1536, -708499/11520, 25678633/9216, 2851485/512, 438353/9216, -31429/3072, -972781/9216, 67573/2304, 67523/2304, -601879/9216, -46037/4608, 52411/576, 595525/9216, -117613/768, -25583/4608, 97745/768, -192786679/46080, -5513545/9216, -6014663/5760, 202876807/23040, 174530933/46080, 2027701/1536, -138424775/9216, 134542439/9216, 46662673/1536, 129377/3072, 6762475/9216, -105625/9216, -2424521/3072, -116047/3072, 8299/288, -91551599/46080, 29520302167/4193280, -13530119/9216, -22713611/11520, -31372330163/4193280, -27227952653/4193280, 4777717/1536, -127583/1536, 61579/4608, -28873/2304, -195821/4608, 16597/768, 7378980563/262080, -3956163259/279552, -2742679/4608, -48233919/1820, 236423759/46080, 4962138271/524160, 1306858219/174720, 1000987/768, -181/48, -228335491/23040, -4706513/2304, 1638001/384, 97133/4608, -6930192449/2096640, 14312103803/1048320, -1487750657/196560, 15877456133/898560, -833645/576, 282187/96, 17449/1536, 122401/1536, 60059/768, 8149/384, 19505/256, 2759/64, 52055/768, 5665/768, -1039/256, -37761061/4608, 3075461/4608, -3065237/2304, -12852649/23040, 9920411/768, -57268073/23040, 63575027/11520, -81104351/23040, 45944293/2880, -7059264671/34560, 1505351753/23040, -486960143/69120, -669269/512, -7121273/4608, 13714997/4608, 8117335/2304, 2283743/768, -323393/192, -10734359/4608, -4348249/768, 13837951/2304, 2328107/384, -18049873/2304, 2731679/768, 2542361209/2096640, -33493501/4608, 2873596591/1572480, -752249987/161280, 484807163/483840, 7199471/59904, 41000065/768, -12918655/256, -6989015/64, -17515/1024, 907763/9216, -22193/1536, 1665701/2304, 1600745/2304, -65913791/27648, 654943/1152, -1238173/27648, -2958715/1536, 719005/1536, -4291285/4608, 1907359/9216, -11494721/3840, -6893219/7680, -1165261/768, -3496987/3072, 10643323/768, 4558495/768, 9928019/1920, 1985007/1280, 794425/192, 248297/48, 5187895/1536, -1165073/1536, 1588769/192, -14294465/384, -2858489/256, -506491/3072, 66603/128, 952327/3072, 1797497/4608, 63047/2304, -8809/1152, 17741/384, 16763/1152, 68077/4608, -22793/192, -4617/128, -16469/384, -5701/128, -76141/2304, -65527/4608, -152635/4608, -3807599/4608, -2728519/9216, 67819/64, 915589/1152, -160625/4608, 707/72, -5689/96, 2594213/9216, -97133/4608, 116345/768, 68927/1536, -130021/128, 2057/32, -1171769/1536, 13997/288, -879827/384, -45733/96, 810425/384, 101689/96, 53/48, -23/64, 55047/128, 15/64, 3/8, -741359/384, -129999/128, 307/48, -11/8, 11/64, 49/192, 66677/6, -713785/128, -407113/384, 698309/256, 2157511/768, 2155409/384, 73/96, -17/64, 35969/32, 182993/192, -25/64, -2093039/384, -3471/8, -1989923/384, 367/48, 11/64, 688655/9216, -229277/9216, 773471/3072, -373583/384, 45195/1024, -1222459/3072, -26371/768, -8718967/5120, 7032829/15360, -464177/192, -4557499/9216, -1823/45, -1564811/23040, 7810431/1280, 13702867/7680, 370825/192, -767287/9216, 7255567/9216, 588409/9216, 702023/2304, -903683/9216, 2436209/1024, -3918065/384, 1712311/9216, 195503/1024, -180769/23040, 10559/5760, -6937471/3072, -7420877/1536, 3735389/384, 3974093/192, -1714241/4608, -361/2, -1785233/4608, 239413/1536, -79615/1536, 11/16, 79729/384, -115/192, 1/8, 1585081/1536, -528019/1536, -55/192, 528049/384, 529579/768, -26937/64, -79795/768, 179/24, -43/24, 31/32, -176425/64, -529975/384, -527263/768, -530351/384, -423283/384, -1403/32, 16883/96, 5503/128, -87347/96, 1923835/384, 598123/384, -297809/96, -528967/384, 529495/192, 528643/384, -10387/2304, 15413/18432, 1/2, -17813/18432, -14345/9216, 4247/6144, 18343/18432, -21/32, -16135/18432, -4537/6144, 23017/4608, -5777/1024, -1885/9216, 241/128, 33169/4608, -4127/9216, -3377/9216, -31921/3072, 4159/6144, 2749/1152, -927/128, -433/1024, -3161/6144, -23/64, -781/384, 11/128, 151/192, -1/6, 109/128, 7/16, -85/128, -9/128, 3/8, 61/128, -7/24, 7/12, -9/4, -4601/4608, 193/128, -11/12, -1/32, 5/8, -5/8, -1, -1/4, -3/4, 1/2, -1/4, -11/384, 11/96, 3/64, 1/48])
Hyp_5_1_0=Tautvb_to_tautclass(v,5,1,4)

v=vector([-87782391/20, 1049279533/2400, 3901671/40, -14576899/480, 347441/480, -45866603/480, 10728689/600, -323207/300, -24713927/480, 4789289/480, -262880467/2400, 1910544547/2400, -536737/48, 1035703/240, 88881469/2400, -38654683/2400, 3189407/480, -936739/960, -4513201/240, 1330259/240, 24833677/300, -150055079/4800, 2197054361/23520, -16524853/1008, 6738581/7056, -333827/20, 2952071/960, 222729251/14112, -51009523/17640, 116221873/2400, -14725231/800, 2023881737/117600, -458679581/2400, 73517791/960, -1249515973/17640, 3983908399/5880, -2700064699/23520, 13626485/2352, -62050563/400, 3850049/200, -93345551/1470, 423565619/23520, 17277531/32, -268289/4, -1408309/120, -2328616687/29400, 99759677/2400, 96786653/2400, 1252713205/4704, -4572047/32, -96317/96, 979193/2400, -234253/60, 6576471/800, 307711/60, 75609/20, -7950377/600, -1405051/480, 46003/64, -186029/40, 89189101/4800, -734669/240, 295123/1200, 483121/800, 60257/60, -346699/192, -92041/240, -57657151/7056, 29176999/47040, -205601/96, 3429221/14112, 18304109/14112, -1896329/800, 2178131/320, 4657337/2400, 575419931/141120, -23091923/3920, 28163767/33600, -337477877/15680, 110146277/15680, -8224259/400, -21224793/1568, -224527379/15680, 2307587/32, 17151251/1200, -2107441/1200, 3521017/60, 56797/30, 20429/24, 112157433/3920, 296085019/15680, -49506077/240, 6554215169/235200, -12394229/1200, 623591/800, -207346063/1568, 129151349/2940, -1241555837/47040, -3035527/240, -256794331/2940, 416299663/9408, 42357413/960, 130231887/7840, 1869258577/47040, -388264729/6720, 966955/882, -2326427/8820, 161477/8, -214802929/11760, 2277571/1960, 518113763/2940, -3750237769/47040, -22577267/320, 25253631/392, -7209169/1568, 169256249/9408, -767981317/141120, 7415/64, -17800085/28224, 290672041/20160, -685553/960, 17021087/15680, 6048827/8820, -50652173/32928, 11460607/32928, 47070893/47040, -512918489/493920, -1012755041/28224, 207847/160, -3204211/3136, -8191769/3360, 17823763/12348, 141257371/123480, -121973/1200, 46699/120, 74611/150, -1078217/2400, 143511/320, 22075/48, 443027/960, 27796/15, -812423/960, -873187/960, -1547129/240, 75977/960, -34397465/28224, 54863/320, 682182079/141120, -10096201/141120, 177988/75, -199789/30, -508/3, 261805/24, -7302757/192, -15274571/3360, 45839/480, -75493367/70560, 133389/320, 5116285/1344, -42108559/141120, 283013/240, -20254687/35280, -136423393/141120, -164309/80, 76880309/141120, 41520545/28224, 28898119/23520, -65370617/70560, 231269405/197568, 60780227/47040, -226874105/197568, -137765233/109760, 643/192, 197969/576, 256317/15680, -97863239/246960, -860053/24696, 1/15, 88049/960, -2821/15, 997427/7840, -275843/240, 16433/960, 42835361/47040, 3042727/3920, 36118183/47040, 88297489/2400, -18372691/2400, 69269419/800, -1498580687/2400, -843141233/1200, 1374006803/4800, -58863489/1600, 201013/48, 367793/150, -1651411/800, -1053757/120, 6174811/4800, -3487447/2520, -9094457/960, 20775913/14112, 4568431/480, 364272253/5880, -50775461/1200, -156775013/735, 72967939/480, -1144943/1200, -921769/4800, -238629971/141120, 1863061/300, -25886597/17640, -53545979/4800, 2303497/1200, -132017/1200, -1199721/160, 129967/96, -27818087/2400, -4986811/1600, 7053481/96, 1302979/48, 8831/60, -161281/240, -57619/320, -571843/2400, 176447/2400, -1053/2, -15755/48, 3286633/2400, 639089/1600, 287711/240, 917581/960, 528321/160, -1353409/1200, 278907/40, -153631/160, 578549/2400, 68847/20, -90353/40, -8925521/480, 3691513/480, 178369/80, -21065/96, 39289/2400, 743563/9600, -66661/240, 1319/8, -276889/1920, 484153/1764, -48931/720, 2798567/5880, -42301/384, 14561569/141120, -2254641/1568, -3905317/9408, 18887/40, -5308781/11760, -54539/960, 34417/384, -35761/441, 479667/400, -21079/75, 4104/25, 710419/480, -27573/40, -91699/800, 52447/2400, -21137/60, -6941/30, -13333/6, -139889/160, 28273/160, 55769/120, 127565/96, 31437/80, -10261/80, 10261/320, -4218823/2400, 5868299/960, -22613/160, 16583/480, 302749/40, -36113/240, -421363/16, 33587/64, -2797/40, -21689/2400, -1091/240, 1357/60, 58967/1200, -341137/9600, 16837/240, 51859/1920, -631969/1200, 8653/75, -93337/1200, -12791/120, -3109/120, 4959/20, -100011/80, -102861/800, -773/5, -13751/60, 2601/5, 5887/24, 860053/35280, 4029/640, -31072651/282240, 2981059/5880, 1585/128, 30444751/282240, -6589987/282240, 19121/120, 2543/240, 36291/200, -90109/120, -3797/60, 206/15, 4174/5, 14551/240, 8603/100, 1553/40, -367/120, -6951/20, -244791/800, -12719/75, -62005/96, 32731/40, 1380241/3920, -17107/480, -601/560, -2051/2, 3193/32, 481/6, -53691/560, 85733/600, -6767/150, -23779/120, 13777/120, 995/24, 324427/11760, -188179/2940, -11251/1920, -940019/94080, 11799/640, 1/240, 15971/1920, -131/240, -3/20, 993/40, 445/384, 3929/160, 1009/40, 993/20, 983/20, -53091/3200, 7703/1920, -13643/240, 33905/192, 19559/384, 1593/16, 14069/100, -15959/16, -251/120, 26453/1200, 2633/2400, -1/16, -13/60, -489/40, 31393/600, 1211/600, -4051/80, -3907/80, -211/2400, -1/16, -121/30, 1/16])
Hyp_6_0_0=Tautvb_to_tautclass(v,6,0,4)



# Classes of the cycles \Biell_g_n_2m (natural order of markings : 1,...,n are fixed points, (n+1,n+2), ..., (n+2m-1,n+2m) are pairs of conjugate points
v=(132, -45, 81, 147, -135, -138, -333, -138, 291, -33, 0, 33, 24, -33)
Biell_2_0_2=Tautvb_to_tautclass(v,2,2,2)


v=(517/4, -33, 11/4, 243/4, -125/4, 15/2, 41/4, 125, 99/4, -41, -1137/4, -285/4, -57/8, -3/8)
Biell_2_2_0=Tautvb_to_tautclass(v,2,2,3)

v=(-99/4, 129/16, 3/16, -195/8, -69/8, 465/16, -15/32)
Biell_3_0_0=Tautvb_to_tautclass(v,3,0,2)

v=(2017/4, -1233/8, 113/8, 883/8, -219/8, 555/4, -510, 57/8, 33/8, -14, -43/2, 40, -29/2, 89/2, 4, 23/2, 423/8, -17/8, -7/4, -33, -91/2, 51/2, 13/2, -47/2, -1/2, 29/2, 97/4, 69/16, -11/16)
Biell_3_1_0=Tautvb_to_tautclass(v,3,1,3)



# Other cycles
v=(287, -49, 49/16, 79/8, -193/16, 81, -166, -121/8, -69/8, 5/32)
# H_{3, Z/2Z, ()}
H_gen3_2to1_gen2=Tautvb_to_tautclass(v,3,0,3)

v=(31488, -34552/3, -1824, 2352, -488/3, -776, -336)
# \pi_* [\H_{3,\mathbb{Z}/3\mathbb{Z},(1,2)}]
H_gen3_3to1_gen1=Tautvb_to_tautclass(v,3,0,4)