i05nagai/mafipy

// p_{j}: j-th irreducible poly, a_{j, k}: j-dim, k-th coeff
// 3 -> p_{1} = a_{1, 1}x + a_{1, 0} = 1x + 1
// 7 -> p_{2} = a_{2, 2}x^{2} + a_{2, 1} x + a_{2, 2} = 1x^{2} + 1x + 1
// up to 21201 dim

static int joe_kuo_d6_irreducibles[] = {
    3,
    7,
    11,
    13,
    19,
    25,
    37,
    41,
    47,
    55,
    59,
    61,
    67,
    91,
    97,
    103,
    109,
    115,
    131,
    137,
    143,
    145,
    157,
    167,
    171,
    185,
    191,
    193,
    203,
    211,
    213,
    229,
    239,
    241,
    247,
    253,
    285,
    299,
    301,
    333,
    351,
    355,
    357,
    361,
    369,
    391,
    397,
    425,
    451,
    463,
    487,
    501,
    529,
    539,
    545,
    557,
    563,
    601,
    607,
    617,
    623,
    631,
    637,
    647,
    661,
    675,
    677,
    687,
    695,
    701,
    719,
    721,
    731,
    757,
    761,
    787,
    789,
    799,
    803,
    817,
    827,
    847,
    859,
    865,
    875,
    877,
    883,
    895,
    901,
    911,
    949,
    953,
    967,
    971,
    973,
    981,
    985,
    995,
    1001,
    1019,
    1033,
    1051,
    1063,
    1069,
    1125,
    1135,
    1153,
    1163,
    1221,
    1239,
    1255,
    1267,
    1279,
    1293,
    1305,
    1315,
    1329,
    1341,
    1347,
    1367,
    1387,
    1413,
    1423,
    1431,
    1441,
    1479,
    1509,
    1527,
    1531,
    1555,
    1557,
    1573,
    1591,
    1603,
    1615,
    1627,
    1657,
    1663,
    1673,
    1717,
    1729,
    1747,
    1759,
    1789,
    1815,
    1821,
    1825,
    1849,
    1863,
    1869,
    1877,
    1881,
    1891,
    1917,
    1933,
    1939,
    1969,
    2011,
    2035,
    2041,
    2053,
    2071,
    2091,
    2093,
    2119,
    2147,
    2149,
    2161,
    2171,
    2189,
    2197,
    2207,
    2217,
    2225,
    2255,
    2257,
    2273,
    2279,
    2283,
    2293,
    2317,
    2323,
    2341,
    2345,
    2363,
    2365,
    2373,
    2377,
    2385,
    2395,
    2419,
    2421,
    2431,
    2435,
    2447,
    2475,
    2477,
    2489,
    2503,
    2521,
    2533,
    2551,
    2561,
    2567,
    2579,
    2581,
    2601,
    2633,
    2657,
    2669,
    2681,
    2687,
    2693,
    2705,
    2717,
    2727,
    2731,
    2739,
    2741,
    2773,
    2783,
    2793,
    2799,
    2801,
    2811,
    2819,
    2825,
    2833,
    2867,
    2879,
    2881,
    2891,
    2905,
    2911,
    2917,
    2927,
    2941,
    2951,
    2955,
    2963,
    2965,
    2991,
    2999,
    3005,
    3017,
    3035,
    3037,
    3047,
    3053,
    3083,
    3085,
    3097,
    3103,
    3159,
    3169,
    3179,
    3187,
    3205,
    3209,
    3223,
    3227,
    3229,
    3251,
    3263,
    3271,
    3277,
    3283,
    3285,
    3299,
    3305,
    3319,
    3331,
    3343,
    3357,
    3367,
    3373,
    3393,
    3399,
    3413,
    3417,
    3427,
    3439,
    3441,
    3475,
    3487,
    3497,
    3515,
    3517,
    3529,
    3543,
    3547,
    3553,
    3559,
    3573,
    3589,
    3613,
    3617,
    3623,
    3627,
    3635,
    3641,
    3655,
    3659,
    3669,
    3679,
    3697,
    3707,
    3709,
    3713,
    3731,
    3743,
    3747,
    3771,
    3791,
    3805,
    3827,
    3833,
    3851,
    3865,
    3889,
    3895,
    3933,
    3947,
    3949,
    3957,
    3971,
    3985,
    3991,
    3995,
    4007,
    4013,
    4021,
    4045,
    4051,
    4069,
    4073,
    4179,
    4201,
    4219,
    4221,
    4249,
    4305,
    4331,
    4359,
    4383,
    4387,
    4411,
    4431,
    4439,
    4449,
    4459,
    4485,
    4531,
    4569,
    4575,
    4621,
    4663,
    4669,
    4711,
    4723,
    4735,
    4793,
    4801,
    4811,
    4879,
    4893,
    4897,
    4921,
    4927,
    4941,
    4977,
    5017,
    5027,
    5033,
    5127,
    5169,
    5175,
    5199,
    5213,
    5223,
    5237,
    5287,
    5293,
    5331,
    5391,
    5405,
    5453,
    5523,
    5573,
    5591,
    5597,
    5611,
    5641,
    5703,
    5717,
    5721,
    5797,
    5821,
    5909,
    5913,
    5955,
    5957,
    6005,
    6025,
    6061,
    6067,
    6079,
    6081,
    6231,
    6237,
    6289,
    6295,
    6329,
    6383,
    6427,
    6453,
    6465,
    6501,
    6523,
    6539,
    6577,
    6589,
    6601,
    6607,
    6631,
    6683,
    6699,
    6707,
    6761,
    6795,
    6865,
    6881,
    6901,
    6923,
    6931,
    6943,
    6999,
    7057,
    7079,
    7103,
    7105,
    7123,
    7173,
    7185,
    7191,
    7207,
    7245,
    7303,
    7327,
    7333,
    7355,
    7365,
    7369,
    7375,
    7411,
    7431,
    7459,
    7491,
    7505,
    7515,
    7541,
    7557,
    7561,
    7701,
    7705,
    7727,
    7749,
    7761,
    7783,
    7795,
    7823,
    7907,
    7953,
    7963,
    7975,
    8049,
    8089,
    8123,
    8125,
    8137,
    8219,
    8231,
    8245,
    8275,
    8293,
    8303,
    8331,
    8333,
    8351,
    8357,
    8367,
    8379,
    8381,
    8387,
    8393,
    8417,
    8435,
    8461,
    8469,
    8489,
    8495,
    8507,
    8515,
    8551,
    8555,
    8569,
    8585,
    8599,
    8605,
    8639,
    8641,
    8647,
    8653,
    8671,
    8675,
    8689,
    8699,
    8729,
    8741,
    8759,
    8765,
    8771,
    8795,
    8797,
    8825,
    8831,
    8841,
    8855,
    8859,
    8883,
    8895,
    8909,
    8943,
    8951,
    8955,
    8965,
    8999,
    9003,
    9031,
    9045,
    9049,
    9071,
    9073,
    9085,
    9095,
    9101,
    9109,
    9123,
    9129,
    9137,
    9143,
    9147,
    9185,
    9197,
    9209,
    9227,
    9235,
    9247,
    9253,
    9257,
    9277,
    9297,
    9303,
    9313,
    9325,
    9343,
    9347,
    9371,
    9373,
    9397,
    9407,
    9409,
    9415,
    9419,
    9443,
    9481,
    9495,
    9501,
    9505,
    9517,
    9529,
    9555,
    9557,
    9571,
    9585,
    9591,
    9607,
    9611,
    9621,
    9625,
    9631,
    9647,
    9661,
    9669,
    9679,
    9687,
    9707,
    9731,
    9733,
    9745,
    9773,
    9791,
    9803,
    9811,
    9817,
    9833,
    9847,
    9851,
    9863,
    9875,
    9881,
    9905,
    9911,
    9917,
    9923,
    9963,
    9973,
    10003,
    10025,
    10043,
    10063,
    10071,
    10077,
    10091,
    10099,
    10105,
    10115,
    10129,
    10145,
    10169,
    10183,
    10187,
    10207,
    10223,
    10225,
    10247,
    10265,
    10271,
    10275,
    10289,
    10299,
    10301,
    10309,
    10343,
    10357,
    10373,
    10411,
    10413,
    10431,
    10445,
    10453,
    10463,
    10467,
    10473,
    10491,
    10505,
    10511,
    10513,
    10523,
    10539,
    10549,
    10559,
    10561,
    10571,
    10581,
    10615,
    10621,
    10625,
    10643,
    10655,
    10671,
    10679,
    10685,
    10691,
    10711,
    10739,
    10741,
    10755,
    10767,
    10781,
    10785,
    10803,
    10805,
    10829,
    10857,
    10863,
    10865,
    10875,
    10877,
    10917,
    10921,
    10929,
    10949,
    10967,
    10971,
    10987,
    10995,
    11009,
    11029,
    11043,
    11045,
    11055,
    11063,
    11075,
    11081,
    11117,
    11135,
    11141,
    11159,
    11163,
    11181,
    11187,
    11225,
    11237,
    11261,
    11279,
    11297,
    11307,
    11309,
    11327,
    11329,
    11341,
    11377,
    11403,
    11405,
    11413,
    11427,
    11439,
    11453,
    11461,
    11473,
    11479,
    11489,
    11495,
    11499,
    11533,
    11545,
    11561,
    11567,
    11575,
    11579,
    11589,
    11611,
    11623,
    11637,
    11657,
    11663,
    11687,
    11691,
    11701,
    11747,
    11761,
    11773,
    11783,
    11795,
    11797,
    11817,
    11849,
    11855,
    11867,
    11869,
    11873,
    11883,
    11919,
    11921,
    11927,
    11933,
    11947,
    11955,
    11961,
    11999,
    12027,
    12029,
    12037,
    12041,
    12049,
    12055,
    12095,
    12097,
    12107,
    12109,
    12121,
    12127,
    12133,
    12137,
    12181,
    12197,
    12207,
    12209,
    12239,
    12253,
    12263,
    12269,
    12277,
    12287,
    12295,
    12309,
    12313,
    12335,
    12361,
    12367,
    12391,
    12409,
    12415,
    12433,
    12449,
    12469,
    12479,
    12481,
    12499,
    12505,
    12517,
    12527,
    12549,
    12559,
    12597,
    12615,
    12621,
    12639,
    12643,
    12657,
    12667,
    12707,
    12713,
    12727,
    12741,
    12745,
    12763,
    12769,
    12779,
    12781,
    12787,
    12799,
    12809,
    12815,
    12829,
    12839,
    12857,
    12875,
    12883,
    12889,
    12901,
    12929,
    12947,
    12953,
    12959,
    12969,
    12983,
    12987,
    12995,
    13015,
    13019,
    13031,
    13063,
    13077,
    13103,
    13137,
    13149,
    13173,
    13207,
    13211,
    13227,
    13241,
    13249,
    13255,
    13269,
    13283,
    13285,
    13303,
    13307,
    13321,
    13339,
    13351,
    13377,
    13389,
    13407,
    13417,
    13431,
    13435,
    13447,
    13459,
    13465,
    13477,
    13501,
    13513,
    13531,
    13543,
    13561,
    13581,
    13599,
    13605,
    13617,
    13623,
    13637,
    13647,
    13661,
    13677,
    13683,
    13695,
    13725,
    13729,
    13753,
    13773,
    13781,
    13785,
    13795,
    13801,
    13807,
    13825,
    13835,
    13855,
    13861,
    13871,
    13883,
    13897,
    13905,
    13915,
    13939,
    13941,
    13969,
    13979,
    13981,
    13997,
    14027,
    14035,
    14037,
    14051,
    14063,
    14085,
    14095,
    14107,
    14113,
    14125,
    14137,
    14145,
    14151,
    14163,
    14193,
    14199,
    14219,
    14229,
    14233,
    14243,
    14277,
    14287,
    14289,
    14295,
    14301,
    14305,
    14323,
    14339,
    14341,
    14359,
    14365,
    14375,
    14387,
    14411,
    14425,
    14441,
    14449,
    14499,
    14513,
    14523,
    14537,
    14543,
    14561,
    14579,
    14585,
    14593,
    14599,
    14603,
    14611,
    14641,
    14671,
    14695,
    14701,
    14723,
    14725,
    14743,
    14753,
    14759,
    14765,
    14795,
    14797,
    14803,
    14831,
    14839,
    14845,
    14855,
    14889,
    14895,
    14909,
    14929,
    14941,
    14945,
    14951,
    14963,
    14965,
    14985,
    15033,
    15039,
    15053,
    15059,
    15061,
    15071,
    15077,
    15081,
    15099,
    15121,
    15147,
    15149,
    15157,
    15167,
    15187,
    15193,
    15203,
    15205,
    15215,
    15217,
    15223,
    15243,
    15257,
    15269,
    15273,
    15287,
    15291,
    15313,
    15335,
    15347,
    15359,
    15373,
    15379,
    15381,
    15391,
    15395,
    15397,
    15419,
    15439,
    15453,
    15469,
    15491,
    15503,
    15517,
    15527,
    15531,
    15545,
    15559,
    15593,
    15611,
    15613,
    15619,
    15639,
    15643,
    15649,
    15661,
    15667,
    15669,
    15681,
    15693,
    15717,
    15721,
    15741,
    15745,
    15765,
    15793,
    15799,
    15811,
    15825,
    15835,
    15847,
    15851,
    15865,
    15877,
    15881,
    15887,
    15899,
    15915,
    15935,
    15937,
    15955,
    15973,
    15977,
    16011,
    16035,
    16061,
    16069,
    16087,
    16093,
    16097,
    16121,
    16141,
    16153,
    16159,
    16165,
    16183,
    16189,
    16195,
    16197,
    16201,
    16209,
    16215,
    16225,
    16259,
    16265,
    16273,
    16299,
    16309,
    16355,
    16375,
    16381,
    16427,
    16441,
    16467,
    16479,
    16507,
    16553,
    16559,
    16571,
    16573,
    16591,
    16619,
    16627,
    16653,
    16659,
    16699,
    16707,
    16795,
    16797,
    16807,
    16813,
    16821,
    16853,
    16857,
    16881,
    16909,
    16983,
    16993,
    17023,
    17029,
    17053,
    17095,
    17099,
    17101,
    17123,
    17129,
    17135,
    17161,
    17185,
    17215,
    17277,
    17287,
    17301,
    17327,
    17353,
    17387,
    17389,
    17419,
    17475,
    17523,
    17619,
    17621,
    17631,
    17635,
    17659,
    17707,
    17721,
    17753,
    17775,
    17817,
    17823,
    17829,
    17847,
    17861,
    17879,
    17895,
    17907,
    17919,
    17935,
    17949,
    17959,
    17973,
    17991,
    18009,
    18019,
    18033,
    18043,
    18085,
    18117,
    18127,
    18139,
    18225,
    18255,
    18303,
    18343,
    18369,
    18405,
    18409,
    18415,
    18451,
    18457,
    18491,
    18499,
    18523,
    18529,
    18535,
    18559,
    18563,
    18659,
    18717,
    18733,
    18745,
    18793,
    18807,
    18823,
    18857,
    18895,
    18913,
    18997,
    19045,
    19067,
    19073,
    19079,
    19083,
    19107,
    19145,
    19165,
    19193,
    19255,
    19273,
    19291,
    19307,
    19309,
    19315,
    19321,
    19333,
    19351,
    19361,
    19371,
    19385,
    19403,
    19405,
    19413,
    19423,
    19441,
    19451,
    19465,
    19485,
    19519,
    19527,
    19531,
    19541,
    19581,
    19597,
    19621,
    19645,
    19653,
    19665,
    19671,
    19693,
    19743,
    19761,
    19781,
    19791,
    19793,
    19829,
    19855,
    19885,
    19891,
    19905,
    19963,
    19969,
    19989,
    20023,
    20035,
    20041,
    20049,
    20075,
    20077,
    20099,
    20123,
    20179,
    20197,
    20201,
    20207,
    20253,
    20309,
    20319,
    20329,
    20335,
    20383,
    20393,
    20407,
    20411,
    20459,
    20487,
    20511,
    20517,
    20573,
    20641,
    20693,
    20713,
    20781,
    20819,
    20825,
    20831,
    20861,
    20875,
    20889,
    20901,
    20913,
    20945,
    20955,
    20971,
    20973,
    20981,
    20991,
    20997,
    21007,
    21037,
    21093,
    21131,
    21145,
    21155,
    21169,
    21187,
    21189,
    21201,
    21223,
    21285,
    21289,
    21339,
    21403,
    21405,
    21415,
    21433,
    21439,
    21447,
    21489,
    21507,
    21519,
    21527,
    21557,
    21561,
    21575,
    21599,
    21627,
    21645,
    21663,
    21691,
    21725,
    21729,
    21785,
    21807,
    21815,
    21881,
    21887,
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