/*
Generated by Allan Steel in Magma, 2010.

Field defining polynomial: x^4 - x^2 + 1 [Q(zeta_12)].

Traces:    [ 0, 3 ]
Density:   [ 0.0087234225, 0.94065072 ]
Numer max: [ 2, 11 ]
Numer av:  [ 0.0028881601, 1.6648770 ]
Denom max: [ 1, 54 ], [ [], [ <2, 1>, <3, 3> ] ]
Denom LCM: [ 1, 54 ], [ [], [ <2, 1>, <3, 3> ] ]

[Constructed by BB tensor R40*R72.]

Character:
( 216, -216, 0, 216*zeta(12)_3, -216*zeta(12)_3 - 216, 27*zeta(12)_3 + 27, 
    -27*zeta(12)_3, -27, 0, 0, 0, 216*zeta(12)_4, -216*zeta(12)_4, 0, 
    4*zeta(12)_4, -4*zeta(12)_4, -4, 4, 1, 216*zeta(12)_3 + 216, 
    -216*zeta(12)_3, 27, 27*zeta(12)_3, -27*zeta(12)_3 - 27, 0, 0, 0, 0, 
    -3*zeta(12)_3 - 3, -3, -3*zeta(12)_3, 3*zeta(12)_3 + 3, 3, 3*zeta(12)_3, 0, 
    0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 
    -216*zeta(12)_4*zeta(12)_3 - 216*zeta(12)_4, -216*zeta(12)_4*zeta(12)_3, 
    216*zeta(12)_4*zeta(12)_3, 216*zeta(12)_4*zeta(12)_3 + 216*zeta(12)_4, 
    27*zeta(12)_4, 27*zeta(12)_4*zeta(12)_3, -27*zeta(12)_4*zeta(12)_3 - 
    27*zeta(12)_4, -27*zeta(12)_4, -27*zeta(12)_4*zeta(12)_3, 
    27*zeta(12)_4*zeta(12)_3 + 27*zeta(12)_4, 0, 0, 0, 0, 0, 0, 
    -4*zeta(12)_4*zeta(12)_3, 4*zeta(12)_3 + 4, 4*zeta(12)_4*zeta(12)_3, 
    -4*zeta(12)_3, -4*zeta(12)_3 - 4, 4*zeta(12)_4*zeta(12)_3 + 4*zeta(12)_4, 
    4*zeta(12)_3, -4*zeta(12)_4*zeta(12)_3 - 4*zeta(12)_4, 
    -3*zeta(12)_4*zeta(12)_3 - 3*zeta(12)_4, 3*zeta(12)_4, 
    3*zeta(12)_4*zeta(12)_3, 3*zeta(12)_4*zeta(12)_3 + 3*zeta(12)_4, 
    -3*zeta(12)_4, -3*zeta(12)_4*zeta(12)_3, 0, 0, 0, 0, 0, 0, 0, 0, -zeta(12)_3
    - 1, zeta(12)_4*zeta(12)_3, -zeta(12)_4*zeta(12)_3 - zeta(12)_4, 
    -zeta(12)_4, -zeta(12)_4*zeta(12)_3, zeta(12)_4*zeta(12)_3 + zeta(12)_4, -1,
    -zeta(12)_3, zeta(12)_3 + 1, 1, zeta(12)_3, zeta(12)_4, 1, 1, -zeta(12)_3 -
    1, zeta(12)_3, 0, 0, 0, 0, zeta(12)_4, -zeta(12)_4, -zeta(12)_3, zeta(12)_3
    + 1, zeta(12)_3 + 1, -zeta(12)_3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, zeta(12)_4, 
    -zeta(12)_4, -zeta(12)_4, zeta(12)_4, zeta(12)_3 + 1, -zeta(12)_3, 0, 0, 0, 
    0, 0, 0, 0, 0, -zeta(12)_3 - 1, zeta(12)_3, -zeta(12)_3 - 1, zeta(12)_3, 
    zeta(12)_4*zeta(12)_3 + zeta(12)_4, zeta(12)_4*zeta(12)_3, 
    -zeta(12)_4*zeta(12)_3, -zeta(12)_4*zeta(12)_3 - zeta(12)_4, 
    -zeta(12)_4*zeta(12)_3 - zeta(12)_4, zeta(12)_4*zeta(12)_3 + zeta(12)_4, 
    zeta(12)_4*zeta(12)_3, -zeta(12)_4*zeta(12)_3 - zeta(12)_4, 
    -zeta(12)_4*zeta(12)_3, zeta(12)_4*zeta(12)_3, -zeta(12)_4*zeta(12)_3, 
    zeta(12)_4*zeta(12)_3 + zeta(12)_4 )
*/

G := c9Group("12bu43p");
M :=
GModule(G, [
    Matrix(SparseMatrix(K, 216, 216, [
    <1, 15, -w^2>, 
    <2, 17, w>, 
    <3, 36, -w^3 + w>, 
    <4, 16, -w^3>, 
    <5, 18, -w^2>, 
    <6, 10, -w^3>, 
    <7, 23, -w^3>, 
    <8, 35, -1>, 
    <9, 11, 1>, 
    <10, 6, w^3>, 
    <11, 9, 1>, 
    <12, 14, 1>, 
    <13, 13, -1>, 
    <14, 12, 1>, 
    <15, 1, w^2 - 1>, 
    <16, 4, w^3>, 
    <17, 2, -w^3 + w>, 
    <18, 5, w^2 - 1>, 
    <19, 34, w^2>, 
    <20, 30, w^2>, 
    <21, 31, -w^3 + w>, 
    <22, 26, w^2>, 
    <23, 7, w^3>, 
    <24, 24, -1>, 
    <25, 32, w^3>, 
    <26, 22, -w^2 + 1>, 
    <27, 28, w^2>, 
    <28, 27, -w^2 + 1>, 
    <29, 29, 1>, 
    <30, 20, -w^2 + 1>, 
    <31, 21, w>, 
    <32, 25, -w^3>, 
    <33, 33, 1>, 
    <34, 19, -w^2 + 1>, 
    <35, 8, -1>, 
    <36, 3, w>, 
    <37, 51, w>, 
    <38, 101, -w^2 + 1>, <38, 125, -w>, 
    <39, 139, w>, <39, 140, w^2 - 1>, <39, 142, -w^2 + 1>, 
    <40, 78, w^3 - w>, <40, 96, -w^3>, <40, 169, -w^2 + 1>, 
    <41, 105, -w^3>, <41, 110, -w^3>, 
    <42, 138, -w^3>, <42, 144, w^3>, <42, 146, w^2>, 
    <43, 148, 2*w^3 - 2*w>, <43, 168, -w^2>, <43, 173, -w^3 + w>, <43, 192, -w^2
    + 1>, 
    <44, 46, -w^3>, <44, 107, -1>, 
    <45, 61, -w^3>, <45, 126, 1>, <45, 127, w^3>, <45, 131, -w^3 + w>, 
    <46, 106, -w^3 + w>, <46, 115, w^3>, 
    <47, 47, 1>, 
    <48, 53, -1>, <48, 123, w^2 - 1>, 
    <49, 108, -w^3 + w>, <49, 190, w^2>, 
    <50, 41, -1>, <50, 99, -w^3>, <50, 145, w^2 - 1>, 
    <51, 37, -w^3 + w>, 
    <52, 147, -1>, <52, 158, -w^3>, <52, 181, w^2>, 
    <53, 188, -w^2 + 1>, 
    <54, 38, -w^2>, <54, 98, w^3 - w>, <54, 117, w^2>, 
    <55, 122, w^2 - 1>, 
    <56, 118, -w^3>, <56, 129, 1>, <56, 130, -1>, 
    <57, 73, w^3>, <57, 208, -w^3>, 
    <58, 141, -1>, 
    <59, 112, w>, <59, 137, -w^3>, 
    <60, 39, w^2>, <60, 84, 1>, <60, 214, -w^3 + w>, 
    <61, 45, w^3>, <61, 187, w>, 
    <62, 42, -w>, <62, 70, w>, <62, 216, -w>, 
    <63, 56, w^3 - w>, <63, 201, w^3>, 
    <64, 133, w^2>, 
    <65, 206, 1>, 
    <66, 66, -w^3>, <66, 91, 2*w^2 - 2>, <66, 186, -w^2 + 1>, <66, 207, -1>, 
    <67, 184, w^2 - 1>, 
    <68, 93, w>, 
    <69, 83, w>, <69, 94, w^3 - w>, 
    <70, 138, w^3>, 
    <71, 47, -w^3>, <71, 199, w^2 - 1>, <71, 209, -1>, 
    <72, 53, -1>, <72, 120, -1>, <72, 123, w^2 - 1>, <72, 143, -w>, 
    <73, 57, -w^3>, <73, 122, -w^2 + 1>, <73, 124, w^2 - 1>, 
    <74, 127, w^3>, <74, 131, -w^3 + w>, 
    <75, 51, w^3>, <75, 202, w^3 - w>, <75, 212, -w>, 
    <76, 194, -w^2>, <76, 195, w^3 - w>, 
    <77, 92, w^3 - w>, 
    <78, 40, -w>, <78, 111, -w^2 + 1>, <78, 132, w^2 - 1>, 
    <79, 63, w>, <79, 118, -w^3>, <79, 130, -1>, 
    <80, 37, -1>, <80, 196, w>, <80, 213, w^3>, 
    <81, 189, -1>, <81, 200, w^3>, 
    <82, 68, -w^3>, <82, 86, w>, 
    <83, 89, -w^3>, 
    <84, 140, -1>, 
    <85, 77, w^3 - w>, <85, 90, -w^3>, 
    <86, 82, -w^3 + w>, <86, 93, w^3>, 
    <87, 67, -w^2>, <87, 87, w^3>, <87, 205, w^3 - w>, 
    <88, 88, -w^3>, <88, 185, w^3>, <88, 206, -w^3 + w>, 
    <89, 83, w^3>, 
    <90, 85, w^3>, <90, 92, -w>, 
    <91, 66, -w^2>, <91, 91, w^3>, <91, 186, -w^3>, 
    <92, 77, -w>, 
    <93, 68, -w^3 + w>, 
    <94, 69, -w>, <94, 89, -w^3 + w>, 
    <95, 174, -w^2>, <95, 189, -w^2>, <95, 200, w^3 - w>, <95, 204, -w^3 + w>, 
    <96, 40, -w^3>, <96, 111, 2>, <96, 116, w^3 - w>, <96, 132, -1>, 
    <97, 183, -w^3 + w>, <97, 194, -w^2 + 1>, <97, 195, -w>, <97, 203, w>, 
    <98, 101, -w>, <98, 151, w>, 
    <99, 105, 1>, <99, 160, -1>, 
    <100, 173, -w^3>, 
    <101, 155, w^3 - w>, 
    <102, 106, w^2>, <102, 149, w^3>, 
    <103, 147, w^2>, 
    <104, 108, w^2>, <104, 170, 1>, 
    <105, 154, -w>, 
    <106, 156, w^2 - 1>, 
    <107, 44, -1>, <107, 106, -w^2>, <107, 115, 1>, 
    <108, 104, -w^2 + 1>, <108, 157, w^2 - 1>, 
    <109, 147, w^3 - w>, <109, 158, -w^2>, <109, 181, w>, <109, 197, -w^2 + 1>, 
    <110, 41, w^3>, <110, 154, w>, 
    <111, 78, -w^2>, <111, 96, 1>, <111, 169, w>, <111, 178, -w>, 
    <112, 59, -w^3 + w>, <112, 112, 1>, <112, 113, w^3 - w>, 
    <113, 59, 1>, <113, 112, w>, <113, 113, -1>, <113, 137, -w^3>, 
    <114, 150, 1>, 
    <115, 46, -w^3>, <115, 156, -1>, 
    <116, 169, w^2>, <116, 178, -w^2>, 
    <117, 54, -w^2 + 1>, <117, 125, -w>, <117, 151, -w^2 + 1>, 
    <118, 79, w^3>, <118, 210, -w^3>, 
    <119, 148, w^3 - w>, <119, 173, -w^3 + w>, <119, 192, -w^2 + 1>, 
    <120, 48, 1>, <120, 72, -1>, <120, 215, 1>, 
    <121, 58, w^3>, <121, 133, -w^2 + 1>, <121, 134, 2*w>, <121, 135, -w>, 
    <122, 55, -w^2>, 
    <123, 48, -w^2>, <123, 188, -1>, 
    <124, 55, -w^2>, <124, 208, -w^2>, 
    <125, 38, w^3 - w>, <125, 155, w^2>, 
    <126, 74, -1>, <126, 187, w^2 - 1>, 
    <127, 74, -w^3>, <127, 211, w^3>, 
    <128, 55, w^3 - w>, <128, 198, w^3>, 
    <129, 79, -1>, <129, 201, w^2 - 1>, 
    <130, 56, -1>, <130, 201, w^2 - 1>, <130, 210, -1>, 
    <131, 211, w>, 
    <132, 78, -w^2>, <132, 178, -w>, 
    <133, 64, -w^2 + 1>, 
    <134, 64, w>, <134, 121, -w^3 + w>, <134, 136, -w^2>, <134, 141, w^2>, 
    <135, 64, w>, <135, 121, -w^3 + w>, <135, 136, -2*w^2>, <135, 141, w^2>, 
    <136, 134, -w^2 + 1>, <136, 135, w^2 - 1>, 
    <137, 112, -w^2 + 1>, <137, 113, w^3>, 
    <138, 70, -w^3>, 
    <139, 193, 1>, 
    <140, 84, -1>, 
    <141, 58, -1>, 
    <142, 39, w^2>, <142, 84, -1>, <142, 193, -w^3>, 
    <143, 215, w^3 - w>, 
    <144, 42, -w^3>, <144, 70, -w^3>, <144, 191, -w>, 
    <145, 50, -w^2>, <145, 110, w^3 - w>, <145, 160, w^3 - w>, 
    <146, 191, w^2>, 
    <147, 103, -w^2 + 1>, 
    <148, 164, -w^2 + 1>, 
    <149, 102, -w^3>, <149, 156, -w^3>, 
    <150, 114, 1>, 
    <151, 98, -w^3 + w>, <151, 155, w^3 - w>, 
    <152, 147, w^2>, <152, 181, -w^2 + 1>, 
    <153, 194, w^3>, <153, 203, -1>, 
    <154, 105, w^3 - w>, 
    <155, 101, -w>, 
    <156, 106, -w^2>, 
    <157, 170, 1>, 
    <158, 52, w^3>, <158, 152, w>, 
    <159, 176, -w^2>, 
    <160, 99, -1>, <160, 154, -w>, 
    <161, 166, -w>, <161, 180, -w^2>, 
    <162, 159, -w^3 + w>, <162, 182, w^3 - w>, 
    <163, 167, w^3>, <163, 175, -w^3>, 
    <164, 148, w^2>, 
    <165, 189, w>, <165, 204, w^2 - 1>, 
    <166, 172, w^3 - w>, 
    <167, 179, w^2 - 1>, 
    <168, 43, w^2 - 1>, <168, 119, -w^2 + 1>, <168, 164, w>, 
    <169, 40, w^2>, <169, 111, w^3 - w>, <169, 116, -w^2 + 1>, 
    <170, 157, 1>, 
    <171, 194, -w^2>, 
    <172, 166, -w>, 
    <173, 100, w^3>, 
    <174, 81, 1>, <174, 95, w^2 - 1>, <174, 165, w^3 - w>, <174, 177, -1>, 
    <175, 163, w^3>, <175, 179, w^2 - 1>, 
    <176, 159, w^2 - 1>, 
    <177, 189, -1>, 
    <178, 40, w^2>, <178, 111, w^3 - w>, 
    <179, 167, -w^2>, 
    <180, 161, w^2 - 1>, <180, 172, -w^2 + 1>, 
    <181, 103, -w^2>, <181, 152, w^2>, 
    <182, 162, -w>, <182, 176, -w^2>, 
    <183, 76, -w^3>, <183, 97, w>, <183, 153, w^2>, <183, 171, w^3>, 
    <184, 67, -w^2>, 
    <185, 65, w^2>, <185, 88, -2*w^3>, <185, 185, w^3>, <185, 206, -w^3 + w>, 
    <186, 207, -w^3 + w>, 
    <187, 126, -w^2>, <187, 127, -w^3 + w>, <187, 131, -w>, 
    <188, 53, w^2>, 
    <189, 177, -1>, 
    <190, 49, -w^2 + 1>, <190, 104, w>, <190, 157, -w>, 
    <191, 146, -w^2 + 1>, 
    <192, 100, -w^2 + 1>, <192, 119, w^2>, <192, 164, -w^3 + w>, 
    <193, 139, 1>, 
    <194, 171, w^2 - 1>, 
    <195, 76, -w>, <195, 171, w>, 
    <196, 80, -w^3 + w>, <196, 212, -w^2 + 1>, 
    <197, 52, -w>, <197, 109, w^2>, 
    <198, 122, 1>, <198, 128, -w^3>, 
    <199, 71, -w^2>, <199, 209, w^2>, 
    <200, 81, -w^3>, <200, 177, w^3>, 
    <201, 63, -w^3>, <201, 118, w^3 - w>, <201, 129, -w^2>, <201, 130, w^2>, 
    <202, 75, -w>, <202, 213, -1>, 
    <203, 153, -1>, <203, 171, -w>, 
    <204, 165, -w^2>, <204, 177, -w^3>, 
    <205, 67, 1>, <205, 87, -2*w>, <205, 184, w>, <205, 205, -w^3>, 
    <206, 65, 1>, 
    <207, 186, w>, 
    <208, 122, -w^2 + 1>, <208, 124, w^2 - 1>, 
    <209, 47, -w^3>, <209, 209, -1>, 
    <210, 63, w>, <210, 130, -1>, 
    <211, 131, -w^3 + w>, 
    <212, 37, w>, <212, 213, -w^2 + 1>, 
    <213, 51, -w^2 + 1>, <213, 212, w^2>, 
    <214, 60, w>, <214, 139, -w^2 + 1>, <214, 140, 2*w>, <214, 142, -w>, 
    <215, 143, -w>, 
    <216, 62, w^3 - w>, <216, 138, 2*w^3>, <216, 144, -w^3>, <216, 146, -w^2>
    ])),
Matrix(K, 216, 216,
    [ [ 2/27, 0, -1/27, 0 ], [ -2/27, 0, 1/27, 0 ], [ -1/27, 0, -1/27, 0 ], [ 0,
    0, 0, 0 ], [ 0, 0, 0, 0 ], [ -2/27, 0, 1/27, 0 ], [ 0, 0, 0, 0 ], [ 0, 0, 0,
    0 ], [ 0, 1/27, 0, -2/27 ], [ -1/27, 0, 2/27, 0 ], [ -2/27, 0, 1/27, 0 ], [ 
    0, 1/27, 0, 1/27 ], [ 0, 0, 0, 0 ], [ 0, -1/27, 0, -1/27 ], [ 0, -1/27, 0, 
    2/27 ], [ -1/27, 0, -1/27, 0 ], [ 0, 0, 0, 0 ], [ 0, 0, 0, 0 ], [ 0, 2/27, 
    0, -1/27 ], [ 0, 1/27, 0, 1/27 ], [ 0, -1/27, 0, 2/27 ], [ 0, 1/27, 0, -2/27
    ], [ 1/27, 0, -2/27, 0 ], [ 2/27, 0, -1/27, 0 ], [ 1/27, 0, 1/27, 0 ], [ 0, 
    0, 0, 0 ], [ 0, 0, 0, 0 ], [ 0, 2/27, 0, -1/27 ], [ 0, 0, 0, 0 ], [ 0, 
    -1/27, 0, -1/27 ], [ 0, 2/27, 0, -1/27 ], [ 1/27, 0, -2/27, 0 ], [ 1/27, 0, 
    1/27, 0 ], [ -1/27, 0, -1/27, 0 ], [ -2/27, 4/27, 4/27, -2/27 ], [ 2/27, 0, 
    -1/27, 0 ], [ -1/54, -1/27, -1/27, 1/54 ], [ -1/27, -1/54, 1/54, 1/54 ], [ 
    1/54, 0, 0, 1/54 ], [ -1/54, 0, 1/27, -1/54 ], [ 1/54, 0, 0, -1/54 ], [ 
    -1/54, -1/27, 0, 1/54 ], [ 1/54, -1/54, 1/54, 0 ], [ 0, -1/54, -1/54, -1/54 
    ], [ -1/54, 0, 0, -1/54 ], [ 0, 1/18, 1/54, -1/18 ], [ 0, 1/54, -1/54, -1/54
    ], [ -1/54, -1/27, 0, 1/54 ], [ -1/27, 0, 1/27, 0 ], [ -1/27, 0, 2/27, 2/27 
    ], [ -1/27, 0, 1/27, 1/27 ], [ 1/54, 1/27, 1/27, 1/54 ], [ 0, -1/54, -1/54, 
    1/54 ], [ 0, 1/54, 1/54, -1/54 ], [ 1/54, 0, -1/27, 1/54 ], [ 1/18, 1/27, 
    -1/27, -1/18 ], [ 1/54, 1/54, -1/54, 0 ], [ 0, -1/54, -1/54, -1/54 ], [ 
    -1/54, -1/54, -1/54, 0 ], [ -1/54, 0, 0, 1/54 ], [ -1/54, 1/54, 1/54, 0 ], [
    1/18, 1/18, 1/18, 0 ], [ -2/27, -2/27, 0, 1/27 ], [ 1/54, 0, 0, -1/18 ], [ 
    -1/54, -5/54, -1/54, 0 ], [ 0, -1/54, -1/54, 1/54 ], [ 0, -1/54, 1/54, 1/54 
    ], [ 0, 1/54, 1/54, -1/54 ], [ -1/27, -1/54, -1/54, -1/54 ], [ 1/54, 0, 
    -1/27, -1/54 ], [ 0, 1/54, -1/54, -1/54 ], [ 1/54, 0, -1/27, -1/54 ], [ 
    1/54, 1/27, 1/27, 1/54 ], [ 1/54, 0, 0, 1/54 ], [ 1/54, 1/54, 1/54, 1/27 ], 
    [ -1/54, -1/54, -1/54, 0 ], [ 5/54, 1/54, -5/54, -1/27 ], [ 1/18, 1/54, 
    -1/18, -2/27 ], [ -1/54, 1/27, 0, -1/54 ], [ -1/27, -1/27, 0, 1/27 ], [ 
    -1/54, 0, 1/27, 1/54 ], [ 0, -1/27, -1/27, -1/27 ], [ 1/54, 1/54, 1/54, 0 ],
    [ -1/54, -1/54, 1/54, 0 ], [ -1/54, -1/54, 1/18, 1/27 ], [ -1/54, -1/54, 
    -1/54, 0 ], [ 1/27, 0, -1/27, -1/27 ], [ 0, 1/27, 2/27, 1/27 ], [ 0, 1/54, 
    1/54, -1/54 ], [ 0, 1/27, 2/27, 1/27 ], [ 1/27, 1/27, 0, 0 ], [ -1/18, 0, 0,
    -1/54 ], [ 1/54, 1/27, 0, -1/54 ], [ -1/54, 1/54, 1/54, 0 ], [ -1/54, -1/27,
    -1/27, -1/54 ], [ -1/54, 1/27, 0, -1/54 ], [ 0, 0, 0, 1/27 ], [ 0, 1/54, 
    1/54, 1/54 ], [ 1/18, 2/27, 0, -1/18 ], [ -1/18, -1/27, 1/27, 1/54 ], [ 0, 
    -1/54, 1/54, 1/54 ], [ 1/54, 0, -2/27, -1/18 ], [ -1/54, -1/18, -1/54, 1/27 
    ], [ 1/27, 0, -2/27, -1/27 ], [ 0, 0, 0, 0 ], [ -1/54, 1/54, 1/54, 0 ], [ 
    1/54, 1/54, -1/18, -1/27 ], [ 0, 1/27, 1/27, -1/27 ], [ 0, -1/54, -1/54, 
    -1/54 ], [ 5/54, 1/27, 0, -1/54 ], [ 1/27, -1/27, -1/27, 1/27 ], [ 0, 0, 
    -1/27, -1/27 ], [ 1/54, 2/27, 1/27, -1/54 ], [ -1/54, -1/27, 0, 1/54 ], [ 
    1/54, 1/54, -1/54, 0 ], [ 1/54, -1/54, -1/18, 0 ], [ 2/27, 1/27, -1/27, 
    -1/27 ], [ 0, 1/18, 1/18, 1/18 ], [ 1/54, 0, -2/27, -1/18 ], [ -1/54, -1/54,
    -1/54, 0 ], [ 1/54, -1/27, -1/27, -1/54 ], [ 1/27, 1/27, 0, -1/27 ], [ 
    -1/27, 0, 1/27, 1/27 ], [ -1/54, -1/27, 0, 1/54 ], [ 1/54, 1/27, 0, -1/54 ],
    [ 0, -1/54, -1/54, -1/54 ], [ 1/54, 0, 0, 1/54 ], [ 1/54, 1/54, -1/54, -1/27
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]: Check := false) where w := K.1 where K := CyclotomicField(12);
K<w> := BaseRing(M);
M;
K;
