/*
Generated by Allan Steel in Magma, 2010.

Field defining polynomial: x^2 + x - 1 [Q(sqrt5)].

Traces:    [ 29, 1 ]
Density:   [ 0.083270203, 0.83671506 ]
Numer max: [ 3, 47 ]
Numer av:  [ 0.043877070, 2.1613398 ]
Denom max: [ 1, 16 ], [ [], [ <2, 4> ] ]
Denom LCM: [ 1, 16 ], [ [], [ <2, 4> ] ]

Character:
( 221, 29, 13, 17, 2, -3, 1, 13*zeta(5)_5^3 + 13*zeta(5)_5^2, -13*zeta(5)_5^3 - 
    13*zeta(5)_5^2 - 13, 13*zeta(5)_5^3 + 13*zeta(5)_5^2, -13*zeta(5)_5^3 - 
    13*zeta(5)_5^2 - 13, -zeta(5)_5^3 - zeta(5)_5^2 + 8, zeta(5)_5^3 + 
    zeta(5)_5^2 + 9, 4*zeta(5)_5^3 + 4*zeta(5)_5^2 + 3, -4*zeta(5)_5^3 - 
    4*zeta(5)_5^2 - 1, 4*zeta(5)_5^3 + 4*zeta(5)_5^2 + 3, -4*zeta(5)_5^3 - 
    4*zeta(5)_5^2 - 1, 3*zeta(5)_5^3 + 3*zeta(5)_5^2 + 5, -3*zeta(5)_5^3 - 
    3*zeta(5)_5^2 + 2, 1, 2, 1, 3*zeta(5)_5^3 + 3*zeta(5)_5^2 + 3, 
    -3*zeta(5)_5^3 - 3*zeta(5)_5^2, -3*zeta(5)_5^3 - 3*zeta(5)_5^2, 
    3*zeta(5)_5^3 + 3*zeta(5)_5^2 + 3, zeta(5)_5^3 + zeta(5)_5^2 - 3, 
    -zeta(5)_5^3 - zeta(5)_5^2 - 4, -zeta(5)_5^3 - zeta(5)_5^2 - 4, zeta(5)_5^3 
    + zeta(5)_5^2 - 3, -1, -1, -1, -1, zeta(5)_5^3 + zeta(5)_5^2 + 2, 
    -zeta(5)_5^3 - zeta(5)_5^2 + 1, zeta(5)_5^3 + zeta(5)_5^2 + 1, -zeta(5)_5^3 
    - zeta(5)_5^2, 0, 0, 0, 0, zeta(5)_5^3 + zeta(5)_5^2, -zeta(5)_5^3 - 
    zeta(5)_5^2 - 1, zeta(5)_5^3 + zeta(5)_5^2, -zeta(5)_5^3 - zeta(5)_5^2 - 1, 
    2, 2, zeta(5)_5^3 + zeta(5)_5^2, -zeta(5)_5^3 - zeta(5)_5^2 -
    1, zeta(5)_5^3 + zeta(5)_5^2, -zeta(5)_5^3 - zeta(5)_5^2 -
    1, zeta(5)_5^3 + zeta(5)_5^2, -zeta(5)_5^3 - zeta(5)_5^2 -
    1, zeta(5)_5^3 + zeta(5)_5^2, -zeta(5)_5^3 - zeta(5)_5^2 - 1,
    zeta(5)_5^3 + zeta(5)_5^2, -zeta(5)_5^3 - zeta(5)_5^2 - 1, 0, 0,
    0, 0, zeta(5)_5^3 + zeta(5)_5^2, -zeta(5)_5^3 - zeta(5)_5^2 - 1,
    -zeta(5)_5^3 - zeta(5)_5^2 - 1, zeta(5)_5^3 + zeta(5)_5^2, zeta(5)_5^3
    + zeta(5)_5^2, -zeta(5)_5^3 - zeta(5)_5^2 - 1, -zeta(5)_5^3 -
    zeta(5)_5^2 - 1, zeta(5)_5^3 + zeta(5)_5^2, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 )
*/

// G := c9Group("u44p");
G := PermutationGroup(ATLASGroup("U44"));
M :=
GModule(G, [
    Matrix(SparseMatrix(K, 221, 221, [
    <1, 1, 1>, 
    <2, 2, 1>, 
    <3, 3, 1>, 
    <4, 4, 1>, 
    <5, 5, 1>, 
    <6, 6, 1>, 
    <7, 7, 1>, 
    <8, 8, 1>, 
    <9, 9, 1>, 
    <10, 10, 1>, 
    <11, 11, 1>, 
    <12, 12, 1>, 
    <13, 13, 1>, 
    <14, 14, 1>, 
    <15, 15, 1>, 
    <16, 16, 1>, 
    <17, 17, 1>, 
    <18, 18, 1>, 
    <19, 29, -1>, <19, 32, -1>, <19, 58, 1>, <19, 107, 1>, <19, 177, 1>, <19, 
    183, 1>, <19, 196, -1>, 
    <20, 19, -1>, <20, 22, -1>, <20, 27, 1>, <20, 30, -1>, <20, 48, 1>, <20, 
    120, 1>, <20, 143, -1>, <20, 150, -1>, <20, 152, -1>, <20, 153, -1>, 
    <21, 20, 1>, <21, 26, -1>, <21, 34, 1>, <21, 48, -1>, <21, 50, 1>, <21, 72, 
    1>, <21, 93, 1>, <21, 99, 1>, <21, 120, -1>, 
    <22, 20, 1>, <22, 25, 1>, <22, 29, -1>, <22, 124, -1>, <22, 148, 1>, <22, 
    150, -1>, <22, 155, 1>, <22, 176, -1>, 
    <23, 20, 1>, <23, 22, -1>, <23, 23, 1>, <23, 25, 1>, <23, 26, -1>, <23, 27, 
    1>, <23, 29, -1>, <23, 35, 1>, <23, 50, 1>, <23, 74, -1>, <23, 119, -1>, 
    <23, 122, 1>, <23, 138, -1>, <23, 148, 1>, <23, 151, 1>, <23, 165, 1>, 
    <24, 20, -1>, <24, 23, -1>, <24, 25, -1>, <24, 26, 1>, <24, 29, -1>, <24, 
    30, 1>, <24, 35, -1>, <24, 36, -1>, <24, 37, 1>, <24, 51, 1>, <24, 76, 1>, 
    <24, 99, -1>, <24, 100, -1>, <24, 101, -1>, <24, 140, 1>, <24, 158, 1>, <24,
    196, -1>, <24, 214, 1>, 
    <25, 22, -1>, <25, 26, -1>, <25, 30, -1>, <25, 31, 1>, <25, 32, -1>, <25, 
    37, -1>, <25, 48, -1>, <25, 51, -1>, <25, 77, 1>, <25, 93, 1>, <25, 99, 1>, 
    <25, 140, -1>, <25, 165, 1>, <25, 173, 1>, 
    <26, 18, -1>, <26, 23, -1>, <26, 27, 1>, <26, 30, 1>, <26, 31, -1>, <26, 36,
    -1>, <26, 37, 1>, <26, 47, -1>, <26, 48, 1>, <26, 51, 1>, <26, 99, -1>, <26,
    100, -1>, <26, 101, -1>, <26, 107, -1>, <26, 119, -1>, <26, 140, 1>, <26, 
    214, 1>, 
    <27, 20, 1>, <27, 22, 1>, <27, 23, -1>, <27, 27, -1>, <27, 30, 1>, <27, 31, 
    -1>, <27, 32, -1>, <27, 58, 1>, <27, 75, -1>, <27, 98, 1>, <27, 99, -1>, 
    <27, 152, 1>, <27, 153, 1>, <27, 155, 1>, <27, 158, -1>, <27, 165, -1>, <27,
    173, -1>, <27, 176, -1>, <27, 214, -1>, 
    <28, 19, 1>, <28, 20, 1>, <28, 22, 1>, <28, 23, -2>, <28, 25, -1>, <28, 27, 
    -1>, <28, 29, 1>, <28, 30, 1>, <28, 32, -1>, <28, 43, -1>, <28, 51, 1>, <28,
    58, 1>, <28, 91, -1>, <28, 98, 1>, <28, 138, 1>, <28, 150, 1>, <28, 152, 1>,
    <28, 158, -1>, <28, 173, -1>, <28, 177, 1>, <28, 207, -1>, 
    <29, 19, 1>, <29, 20, 1>, <29, 25, 1>, <29, 31, 1>, <29, 37, -1>, <29, 47, 
    1>, <29, 75, 1>, <29, 91, -1>, <29, 99, 1>, <29, 101, 1>, <29, 122, 1>, <29,
    143, -1>, <29, 144, -1>, <29, 148, 1>, <29, 165, 1>, 
    <30, 19, -1>, <30, 20, 1>, <30, 22, -2>, <30, 23, 1>, <30, 26, -1>, <30, 30,
    -1>, <30, 35, 1>, <30, 36, 1>, <30, 48, -1>, <30, 50, 1>, <30, 51, -1>, <30,
    72, 1>, <30, 74, -1>, <30, 75, -1>, <30, 138, -1>, <30, 140, -1>, <30, 151, 
    1>, <30, 177, -1>, <30, 214, -1>, 
    <31, 19, 1>, <31, 23, -1>, <31, 27, -1>, <31, 29, 1>, <31, 31, 1>, <31, 32, 
    -1>, <31, 37, -1>, <31, 51, -1>, <31, 77, 1>, <31, 120, 1>, <31, 143, -1>, 
    <31, 144, -1>, <31, 155, 1>, <31, 176, -1>, <31, 189, 1>, 
    <32, 23, 2>, <32, 26, 1>, <32, 29, 1>, <32, 30, -1>, <32, 32, 1>, <32, 47, 
    1>, <32, 50, -1>, <32, 74, 1>, <32, 119, 1>, <32, 146, -1>, <32, 150, -1>, 
    <32, 151, -1>, <32, 155, 1>, <32, 196, 1>, <32, 207, 1>, 
    <33, 20, 1>, <33, 23, -1>, <33, 25, 1>, <33, 27, 1>, <33, 29, -1>, <33, 35, 
    -1>, <33, 48, 1>, <33, 55, 1>, <33, 77, -1>, <33, 140, 1>, <33, 146, 1>, 
    <33, 148, 1>, <33, 196, -1>, 
    <34, 19, 1>, <34, 20, -1>, <34, 21, 1>, <34, 22, 1>, <34, 25, -1>, <34, 48, 
    1>, <34, 50, -1>, <34, 51, 1>, <34, 72, -1>, <34, 124, 1>, <34, 130, 1>, 
    <34, 140, 1>, <34, 151, -1>, <34, 176, 1>, <34, 215, -1>, 
    <35, 20, 1>, <35, 23, -2>, <35, 26, 1>, <35, 27, -1>, <35, 30, 1>, <35, 48, 
    -1>, <35, 91, -1>, <35, 98, 1>, <35, 124, -1>, <35, 130, -1>, <35, 138, 1>, 
    <35, 140, -1>, <35, 143, 1>, <35, 150, 1>, <35, 151, 1>, <35, 152, 1>, <35, 
    153, 1>, <35, 155, -1>, <35, 158, -1>, <35, 176, -1>, <35, 183, -1>, <35, 
    189, -1>, <35, 207, -1>, <35, 215, 1>, 
    <36, 26, -1>, <36, 27, -1>, <36, 29, -1>, <36, 32, -1>, <36, 36, 1>, <36, 
    47, -1>, <36, 51, -1>, <36, 75, -1>, <36, 91, 1>, <36, 122, -1>, <36, 130, 
    1>, <36, 146, 1>, <36, 155, 1>, <36, 165, -1>, <36, 183, 1>, <36, 189, 1>, 
    <36, 196, -1>, <36, 214, -1>, 
    <37, 23, -1>, <37, 27, -1>, <37, 32, -1>, <37, 51, -1>, <37, 130, 1>, <37, 
    143, -1>, <37, 144, -1>, <37, 155, 1>, <37, 196, -1>, <37, 214, -1>, 
    <38, 18, -1>, <38, 19, -1>, <38, 20, 1>, <38, 22, 1>, <38, 23, -1>, <38, 25,
    1>, <38, 26, 1>, <38, 28, 1>, <38, 32, -1>, <38, 51, -1>, <38, 130, -1>, 
    <38, 138, 1>, <38, 150, 1>, <38, 158, -1>, <38, 163, -1>, <38, 177, 1>, 
    <39, 18, 1>, <39, 19, 1>, <39, 20, -1>, <39, 23, 1>, <39, 26, 1>, <39, 27, 
    -1>, <39, 31, 1>, <39, 32, 1>, <39, 45, -1>, <39, 47, 1>, <39, 75, 1>, <39, 
    93, -1>, <39, 98, -1>, <39, 107, 1>, <39, 138, -1>, <39, 158, 1>, 
    <40, 19, 2>, <40, 20, -1>, <40, 22, 1>, <40, 23, -1>, <40, 25, -1>, <40, 27,
    -1>, <40, 30, 2>, <40, 32, 1>, <40, 36, -1>, <40, 37, 1>, <40, 42, -1>, <40,
    47, -1>, <40, 51, 2>, <40, 75, 1>, <40, 100, -1>, <40, 101, -1>, <40, 119, 
    -1>, <40, 120, -1>, <40, 130, 1>, <40, 140, 1>, <40, 158, 1>, <40, 207, -1>,
    <40, 214, 1>, 
    <41, 18, -1>, <41, 19, -1>, <41, 26, -1>, <41, 27, 1>, <41, 30, -1>, <41, 
    32, -1>, <41, 50, -1>, <41, 51, -1>, <41, 75, -1>, <41, 107, -1>, <41, 165, 
    1>, <41, 173, 1>, <41, 185, -1>, <41, 207, 1>, 
    <42, 20, -1>, <42, 26, 1>, <42, 29, -1>, <42, 30, -1>, <42, 31, 1>, <42, 40,
    -1>, <42, 50, 1>, <42, 51, 1>, <42, 75, 1>, <42, 98, -1>, <42, 100, -1>, 
    <42, 107, 1>, <42, 143, -1>, <42, 152, -1>, <42, 153, -1>, <42, 158, 1>, 
    <42, 207, -1>, <42, 215, -1>, 
    <43, 20, -1>, <43, 23, 1>, <43, 26, 2>, <43, 27, 1>, <43, 28, -1>, <43, 30, 
    -1>, <43, 31, 1>, <43, 32, 1>, <43, 47, 1>, <43, 51, 1>, <43, 75, 1>, <43, 
    77, -1>, <43, 93, -1>, <43, 98, -1>, <43, 107, 1>, <43, 119, 1>, <43, 151, 
    -1>, <43, 152, -1>, <43, 153, -1>, <43, 158, 1>, <43, 176, 1>, <43, 215, 
    -1>, 
    <44, 18, 1>, <44, 19, 1>, <44, 20, -1>, <44, 22, 2>, <44, 23, -1>, <44, 26, 
    1>, <44, 27, -1>, <44, 31, 1>, <44, 37, -1>, <44, 47, 1>, <44, 51, 1>, <44, 
    72, -1>, <44, 75, 1>, <44, 81, 1>, <44, 107, 1>, <44, 144, 1>, <44, 151, 
    -1>, <44, 183, -1>, <44, 196, 1>, <44, 207, -1>, <44, 215, -1>, 
    <45, 19, 1>, <45, 20, -1>, <45, 22, 1>, <45, 23, -1>, <45, 25, -1>, <45, 26,
    -1>, <45, 29, 1>, <45, 30, 1>, <45, 31, -1>, <45, 39, -1>, <45, 47, -1>, 
    <45, 48, 1>, <45, 51, 1>, <45, 107, -1>, <45, 119, -1>, <45, 124, 1>, <45, 
    130, 1>, <45, 140, 1>, <45, 143, -1>, <45, 144, -1>, 
    <46, 18, 1>, <46, 19, 1>, <46, 20, -1>, <46, 23, -1>, <46, 26, 1>, <46, 27, 
    -1>, <46, 31, 1>, <46, 32, 1>, <46, 58, -1>, <46, 72, -1>, <46, 75, 1>, <46,
    95, 1>, <46, 143, 1>, <46, 144, 1>, <46, 146, 1>, <46, 150, 1>, <46, 155, 
    -1>, <46, 176, 1>, <46, 183, -1>, <46, 207, -1>, 
    <47, 20, 1>, <47, 22, 1>, <47, 23, -1>, <47, 27, -1>, <47, 29, 1>, <47, 30, 
    1>, <47, 31, -1>, <47, 32, -1>, <47, 36, 1>, <47, 37, -1>, <47, 48, -1>, 
    <47, 51, -1>, <47, 75, -1>, <47, 98, 1>, <47, 100, 1>, <47, 101, 1>, <47, 
    107, -1>, <47, 138, 1>, <47, 140, -1>, <47, 144, -1>, <47, 150, 1>, <47, 
    151, 1>, <47, 152, 1>, <47, 153, 1>, <47, 158, -1>, <47, 176, -1>, <47, 214,
    -1>, <47, 215, 1>, 
    <48, 19, 1>, <48, 26, 1>, <48, 29, 1>, <48, 37, -1>, <48, 75, 1>, <48, 124, 
    1>, <48, 144, -1>, <48, 150, 1>, 
    <49, 18, -1>, <49, 19, -2>, <49, 22, -1>, <49, 23, 1>, <49, 26, -1>, <49, 
    27, 2>, <49, 29, -1>, <49, 30, -1>, <49, 31, -1>, <49, 75, -1>, <49, 93, 1>,
    <49, 96, 1>, <49, 107, -1>, <49, 146, -1>, <49, 150, -1>, <49, 165, 1>, <49,
    173, 1>, <49, 189, -1>, <49, 207, 1>, 
    <50, 19, 1>, <50, 20, 1>, <50, 22, -1>, <50, 29, 1>, <50, 32, 1>, <50, 72, 
    1>, <50, 75, 1>, <50, 91, -1>, <50, 99, 1>, <50, 144, -1>, <50, 214, 1>, 
    <50, 215, 1>, 
    <51, 20, -1>, <51, 22, 1>, <51, 23, -2>, <51, 26, 1>, <51, 29, 1>, <51, 30, 
    1>, <51, 31, 1>, <51, 32, -1>, <51, 37, -1>, <51, 51, 1>, <51, 72, -1>, <51,
    75, 1>, <51, 119, -1>, <51, 138, 1>, <51, 143, -1>, <51, 150, 1>, <51, 153, 
    -1>, <51, 155, -1>, <51, 165, 1>, <51, 177, 1>, <51, 207, -1>, 
    <52, 19, -1>, <52, 20, 1>, <52, 22, -1>, <52, 23, 1>, <52, 25, 1>, <52, 29, 
    1>, <52, 30, -1>, <52, 35, 1>, <52, 36, 1>, <52, 37, -1>, <52, 51, -1>, <52,
    140, -1>, <52, 155, 1>, <52, 156, 1>, <52, 158, -1>, <52, 196, 1>, <52, 214,
    -1>, 
    <53, 20, 1>, <53, 23, 1>, <53, 25, 1>, <53, 27, 1>, <53, 29, -1>, <53, 31, 
    -1>, <53, 32, 1>, <53, 37, 1>, <53, 51, 1>, <53, 71, 1>, <53, 77, -1>, <53, 
    140, 1>, <53, 143, 1>, <53, 148, 1>, <53, 214, 1>, 
    <54, 29, -1>, <54, 37, 1>, <54, 48, 1>, <54, 70, 1>, <54, 140, 1>, <54, 176,
    1>, <54, 177, 1>, <54, 196, -1>, 
    <55, 19, -1>, <55, 22, -1>, <55, 26, -1>, <55, 29, -2>, <55, 30, 1>, <55, 
    32, 1>, <55, 33, 1>, <55, 35, 1>, <55, 37, 1>, <55, 47, -1>, <55, 48, -1>, 
    <55, 50, 1>, <55, 51, 1>, <55, 74, -1>, <55, 119, -1>, <55, 120, -1>, <55, 
    124, -1>, <55, 140, -1>, <55, 143, 1>, <55, 144, 1>, <55, 151, 1>, <55, 155,
    -1>, <55, 189, -1>, <55, 207, -1>, 
    <56, 19, -1>, <56, 20, 1>, <56, 22, 1>, <56, 23, -2>, <56, 25, 1>, <56, 32, 
    -1>, <56, 48, 1>, <56, 50, 1>, <56, 99, -1>, <56, 130, -1>, <56, 144, 1>, 
    <56, 146, 1>, <56, 150, 1>, <56, 158, -1>, <56, 165, -1>, <56, 173, -1>, 
    <56, 183, -1>, <56, 203, 1>, <56, 207, -1>, <56, 214, -1>, <56, 215, -1>, 
    <57, 18, -1>, <57, 20, 1>, <57, 22, -1>, <57, 26, -1>, <57, 27, 1>, <57, 29,
    1>, <57, 31, -1>, <57, 32, -1>, <57, 47, -1>, <57, 72, 1>, <57, 75, -1>, 
    <57, 100, -1>, <57, 107, -1>, <57, 124, 1>, <57, 130, 1>, <57, 139, 1>, <57,
    140, 1>, <57, 143, -1>, <57, 144, -2>, <57, 155, 1>, <57, 177, -1>, <57, 
    183, 1>, <57, 189, 1>, <57, 207, 1>, 
    <58, 19, 2>, <58, 22, 1>, <58, 29, 1>, <58, 99, 1>, <58, 124, 1>, <58, 130, 
    1>, <58, 140, 1>, <58, 144, -1>, <58, 150, 1>, <58, 176, 1>, <58, 189, 1>, 
    <59, 19, -1>, <59, 22, 1>, <59, 23, -2>, <59, 25, 1>, <59, 29, -1>, <59, 30,
    1>, <59, 32, -1>, <59, 37, -1>, <59, 66, 1>, <59, 72, -1>, <59, 75, 1>, <59,
    100, 1>, <59, 101, 1>, <59, 119, -1>, <59, 124, -1>, <59, 130, -1>, <59, 
    138, 1>, <59, 140, -1>, <59, 144, 1>, <59, 155, -1>, <59, 158, -1>, <59, 
    176, -1>, <59, 177, 1>, <59, 189, -1>, <59, 207, -1>, 
    <60, 18, 1>, <60, 20, -1>, <60, 25, -1>, <60, 27, -1>, <60, 32, 1>, <60, 75,
    1>, <60, 100, 1>, <60, 107, 1>, <60, 130, -1>, <60, 140, -1>, <60, 143, 1>, 
    <60, 144, 1>, <60, 148, -1>, <60, 155, -1>, <60, 165, -1>, <60, 183, -1>, 
    <60, 189, -1>, <60, 190, 1>, <60, 207, -1>, 
    <61, 18, -1>, <61, 22, 1>, <61, 23, -2>, <61, 26, 1>, <61, 30, 1>, <61, 32, 
    -1>, <61, 35, -1>, <61, 77, -1>, <61, 138, 1>, <61, 140, 1>, <61, 144, -1>, 
    <61, 150, 1>, <61, 155, -1>, <61, 196, -1>, <61, 202, 1>, 
    <62, 18, -1>, <62, 19, -1>, <62, 20, 1>, <62, 22, -1>, <62, 23, 1>, <62, 25,
    1>, <62, 26, -1>, <62, 27, 1>, <62, 29, -1>, <62, 31, -1>, <62, 32, 1>, <62,
    37, 1>, <62, 48, -1>, <62, 50, 1>, <62, 72, 1>, <62, 74, -1>, <62, 75, -1>, 
    <62, 77, -1>, <62, 105, 1>, <62, 120, -1>, <62, 138, -1>, <62, 143, 1>, <62,
    153, 1>, <62, 177, -1>, <62, 207, 1>, 
    <63, 23, 1>, <63, 26, -1>, <63, 27, 1>, <63, 29, -1>, <63, 30, 1>, <63, 31, 
    -1>, <63, 32, 2>, <63, 35, 1>, <63, 37, 1>, <63, 50, 1>, <63, 51, 1>, <63, 
    74, -1>, <63, 77, -1>, <63, 100, 1>, <63, 119, -1>, <63, 120, -1>, <63, 138,
    -1>, <63, 143, 1>, <63, 144, 1>, <63, 155, -1>, <63, 176, 1>, <63, 181, 1>, 
    <63, 189, -1>, 
    <64, 18, -1>, <64, 19, -1>, <64, 23, 1>, <64, 25, 1>, <64, 27, 1>, <64, 29, 
    -1>, <64, 30, -1>, <64, 36, -1>, <64, 48, 1>, <64, 51, -1>, <64, 91, 1>, 
    <64, 98, -1>, <64, 138, -1>, <64, 150, -1>, <64, 151, -1>, <64, 152, -1>, 
    <64, 155, 1>, <64, 173, 1>, <64, 186, 1>, <64, 207, 1>, <64, 215, -1>, 
    <65, 19, 2>, <65, 20, 1>, <65, 22, 1>, <65, 23, -1>, <65, 26, -1>, <65, 27, 
    -1>, <65, 29, 1>, <65, 30, 2>, <65, 32, -1>, <65, 37, -1>, <65, 51, 1>, <65,
    58, 1>, <65, 98, 1>, <65, 119, -1>, <65, 121, -1>, <65, 130, 1>, <65, 140, 
    1>, <65, 143, -1>, <65, 144, -1>, <65, 148, 1>, <65, 152, 1>, <65, 155, 1>, 
    <65, 173, -1>, <65, 176, -1>, <65, 183, 1>, <65, 189, 1>, 
    <66, 19, 1>, <66, 22, -1>, <66, 26, 1>, <66, 29, 1>, <66, 31, 1>, <66, 59, 
    1>, <66, 100, -1>, <66, 101, -1>, <66, 130, 1>, <66, 140, 1>, <66, 143, -1>,
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]: Check := false) where w := K.1 where K := ext<K|Polynomial(K, [-1, 1, 1])> where K is 
RationalField();
K<w> := BaseRing(M);
K;
M;
