/*
Generated by Allan Steel in Magma, 2010.

Field defining polynomial: x^2 + x + 5 [optimized Q(sqrt(-19)]].

Density:   [ 0.24083045, 0.99792387 ]
Traces:    [ 5, -5 ]
Numer max: [ 3, 289 ]
Numer av:  [ 0.13474048, 18.246574 ]
Denom max: [ 1, 120 ], [ [], [ <2, 3>, <3, 1>, <5, 1> ] ]
Denom LCM: [ 1, 120 ], [ [], [ <2, 3>, <3, 1>, <5, 1> ] ]

Character:
( 85, 5, -5, 4, 1, 0, 0, -1, -1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, zeta(19)_19^17 + 
    zeta(19)_19^16 + zeta(19)_19^11 + zeta(19)_19^9 + zeta(19)_19^7 + 
    zeta(19)_19^6 + zeta(19)_19^5 + zeta(19)_19^4 + zeta(19)_19, -zeta(19)_19^17
    - zeta(19)_19^16 - zeta(19)_19^11 - zeta(19)_19^9 - zeta(19)_19^7 - 
    zeta(19)_19^6 - zeta(19)_19^5 - zeta(19)_19^4 - zeta(19)_19 - 1 )
*/

G := PermutationGroup(ATLASGroup("J3"));
M :=
GModule(G, [
    Matrix(SparseMatrix(K, 85, 85, [
    <1, 2, -1>, <1, 3, -1>, <1, 6, -1>, <1, 10, 1>, <1, 11, -1>, <1, 16, 1>, 
    <1, 17, 1>,  <2, 2, 1>, <2, 3, 1>, <2, 6, 1>, <2, 8, 1>, <2, 10, -1>, <2, 
    11, 1>, <2, 16, -1>, <2, 17, -1>,  <3, 1, -1>, <3, 2, -1>, <3, 3, -1>, <3, 
    5, -1>, <3, 6, -1>, <3, 16, 1>, <3, 17, 1>,  <4, 8, -1>, <4, 15, -1>,  <5, 
    3, -1>, <5, 6, -1>, <5, 8, -1>, <5, 15, -1>,  <6, 1, 1>, <6, 2, 1>, <6, 3, 
    1>, <6, 4, 1>, <6, 6, 1>, <6, 16, -1>, <6, 17, -1>,  <7, 4, -1>, <7, 6, 1>,
    <7, 10, -1>, <7, 11, 1>, <7, 14, 1>, <7, 16, -1>,  <8, 1, 1>, <8, 2, 1>,  
    <9, 9, 1>,  <10, 6, 1>, <10, 8, 1>, <10, 11, 1>, <10, 15, 1>,  <11, 1, -1>,
    <11, 2, -1>, <11, 3, -1>, <11, 6, -1>, <11, 10, 1>, <11, 16, 1>, <11, 17, 
    1>,  <12, 1, -1>, <12, 4, -1>, <12, 7, 1>, <12, 8, -1>, <12, 9, -1>, <12, 
    10, -2>, <12, 11, 1>, <12, 12, -1>, <12, 14, 1>, <12, 15, -1>, <12, 16, 
    -1>,  <13, 1, -1>, <13, 2, -1>, <13, 5, -1>, <13, 6, -1>, <13, 8, 1>, <13, 
    9, 1>, <13, 10, 1>, <13, 13, -1>, <13, 14, -1>, <13, 15, 1>, <13, 16, 1>, 
    <13, 17, 1>,  <14, 4, -1>, <14, 6, 1>, <14, 10, -1>, <14, 11, 1>, <14, 14, 
    1>,  <15, 1, -1>, <15, 2, -1>, <15, 4, -1>,  <16, 7, -1>, <16, 14, 1>,  
    <17, 4, 1>, <17, 5, -1>, <17, 6, -1>, <17, 7, 1>, <17, 14, -1>, <17, 15, 
    -1>,  <18, 18, 2>, <18, 19, 1>, <18, 20, 2>, <18, 29, 1>, <18, 30, -1>, 
    <18, 31, -1>, <18, 35, -1>, <18, 36, -1>, <18, 42, 1>, <18, 45, 1>, <18, 
    48, 2>, <18, 51, -1>, <18, 52, -1>, <18, 53, -1>, <18, 54, 1>, <18, 55, 1>,
    <18, 56, -1>, <18, 65, 1>, <18, 76, 1>, <18, 79, 2>, <18, 83, 1>,  <19, 18,
    -1>, <19, 19, 1>, <19, 20, -1>, <19, 28, -1>, <19, 29, 1>, <19, 30, -1>, 
    <19, 42, 1>, <19, 46, -1>, <19, 48, -1>, <19, 51, 1>, <19, 58, 1>, <19, 60,
    1>, <19, 61, 1>, <19, 65, -1>, <19, 69, 1>, <19, 78, 2>, <19, 79, 1>, <19, 
    82, -1>, <19, 83, -1>, <19, 85, -1>,  <20, 20, -1>, <20, 27, -1>, <20, 30, 
    1>, <20, 31, 1>, <20, 36, 1>, <20, 37, -1>, <20, 40, -2>, <20, 42, -1>, 
    <20, 45, 2>, <20, 46, 1>, <20, 52, -1>, <20, 53, 1>, <20, 54, -1>, <20, 57,
    1>, <20, 61, -1>, <20, 65, -1>, <20, 69, -1>, <20, 80, 1>, <20, 83, -1>,  
    <21, 18, 1>, <21, 19, 1>, <21, 20, 1>, <21, 22, 1>, <21, 27, 1>, <21, 28, 
    -1>, <21, 30, -1>, <21, 35, -1>, <21, 36, -1>, <21, 40, 1>, <21, 42, 1>, 
    <21, 45, -1>, <21, 48, 1>, <21, 49, 1>, <21, 51, -1>, <21, 53, -1>, <21, 
    54, 1>, <21, 55, 1>, <21, 57, -1>, <21, 67, 1>, <21, 83, 1>,  <22, 19, 1>, 
    <22, 21, -1>, <22, 28, -1>, <22, 29, 2>, <22, 30, -1>, <22, 33, -1>, <22, 
    35, -1>, <22, 36, -2>, <22, 37, 1>, <22, 40, 2>, <22, 45, -1>, <22, 46, 
    -2>, <22, 50, 1>, <22, 54, 1>, <22, 57, -1>, <22, 58, -1>, <22, 74, -2>,  
    <23, 19, 1>, <23, 20, 1>, <23, 28, -1>, <23, 29, 1>, <23, 31, -1>, <23, 34,
    1>, <23, 35, -1>, <23, 36, -1>, <23, 37, 1>, <23, 40, 1>, <23, 45, 1>, <23,
    46, -1>, <23, 48, 1>, <23, 49, 1>, <23, 50, -1>, <23, 56, -1>, <23, 57, 
    -1>, <23, 61, -1>, <23, 65, 1>, <23, 67, 1>, <23, 71, 1>, <23, 79, 1>, <23,
    82, -1>, <23, 83, -1>, <23, 85, -1>,  <24, 19, 1>, <24, 20, 2>, <24, 21, 
    1>, <24, 23, 1>, <24, 27, -1>, <24, 29, 1>, <24, 31, -1>, <24, 32, -1>, 
    <24, 33, 1>, <24, 35, -1>, <24, 38, -1>, <24, 45, 2>, <24, 48, 2>, <24, 49,
    1>, <24, 50, -1>, <24, 51, -2>, <24, 52, -1>, <24, 55, 1>, <24, 56, -1>, 
    <24, 57, -1>, <24, 58, 1>, <24, 59, 1>, <24, 61, -1>, <24, 65, 1>, <24, 67,
    3>, <24, 71, 2>, <24, 74, 1>, <24, 78, 1>, <24, 79, 2>, <24, 80, 1>, <24, 
    81, 1>, <24, 82, -1>, <24, 83, -1>, <24, 85, -1>,  <25, 18, 1>, <25, 19, 
    1>, <25, 20, 2>, <25, 29, 2>, <25, 30, -1>, <25, 31, -1>, <25, 35, -1>, 
    <25, 36, -2>, <25, 37, 1>, <25, 39, 1>, <25, 40, 1>, <25, 46, -1>, <25, 48,
    1>, <25, 51, -1>, <25, 55, 1>, <25, 56, -1>, <25, 57, -1>, <25, 59, 1>, 
    <25, 65, 1>, <25, 74, -1>, <25, 79, 1>, <25, 81, 1>,  <26, 18, 1>, <26, 20,
    1>, <26, 22, -1>, <26, 24, 1>, <26, 27, 1>, <26, 29, -1>, <26, 35, 1>, <26,
    38, 1>, <26, 42, -1>, <26, 46, 2>, <26, 49, -1>, <26, 60, -1>, <26, 65, 1>,
    <26, 71, -2>, <26, 74, 1>, <26, 78, 1>, <26, 79, -1>, <26, 82, 1>, <26, 83,
    2>, <26, 85, 1>,  <27, 18, -1>, <27, 21, 1>, <27, 24, -1>, <27, 27, -1>, 
    <27, 29, -2>, <27, 30, 1>, <27, 34, 1>, <27, 36, -1>, <27, 42, -1>, <27, 
    45, 1>, <27, 46, 1>, <27, 48, -1>, <27, 49, 1>, <27, 50, -1>, <27, 51, 2>, 
    <27, 54, -1>, <27, 58, -1>, <27, 61, -2>, <27, 65, 1>, <27, 67, -1>, <27, 
    74, -1>, <27, 78, -2>, <27, 81, -1>, <27, 82, -1>,  <28, 20, 1>, <28, 27, 
    -1>, <28, 29, 1>, <28, 30, -1>, <28, 31, -1>, <28, 35, -1>, <28, 36, -1>, 
    <28, 38, -1>, <28, 45, 1>, <28, 46, -1>, <28, 59, 1>, <28, 65, 1>, <28, 67,
    1>, <28, 71, 1>, <28, 74, -2>, <28, 79, 1>, <28, 80, 1>, <28, 81, 1>, <28, 
    82, -1>,  <29, 18, -1>, <29, 19, -1>, <29, 20, -1>, <29, 28, -1>, <29, 30, 
    -1>, <29, 36, -1>, <29, 40, 1>, <29, 45, -1>, <29, 46, -1>, <29, 48, -2>, 
    <29, 51, 1>, <29, 52, 1>, <29, 56, 1>, <29, 61, 1>, <29, 69, 1>, <29, 74, 
    -1>, <29, 82, -1>,  <30, 19, 1>, <30, 22, 1>, <30, 23, -1>, <30, 24, 1>, 
    <30, 26, -1>, <30, 28, -1>, <30, 33, -1>, <30, 35, -1>, <30, 36, -1>, <30, 
    37, -1>, <30, 45, 1>, <30, 46, 1>, <30, 49, 1>, <30, 52, -1>, <30, 55, 1>, 
    <30, 56, -1>, <30, 57, -1>, <30, 59, 1>, <30, 61, -1>, <30, 69, -1>, <30, 
    80, 1>, <30, 82, -1>, <30, 83, 1>,  <31, 18, -1>, <31, 20, -1>, <31, 22, 
    1>, <31, 24, 1>, <31, 26, -1>, <31, 29, -3>, <31, 32, -1>, <31, 36, 1>, 
    <31, 37, -2>, <31, 40, -1>, <31, 45, 2>, <31, 46, 2>, <31, 49, 1>, <31, 50,
    -1>, <31, 51, -1>, <31, 52, -1>, <31, 58, 1>, <31, 61, -1>, <31, 67, 2>, 
    <31, 74, 2>, <31, 78, 1>, <31, 80, 1>, <31, 82, -1>, <31, 83, 1>,  <32, 19,
    -1>, <32, 22, 1>, <32, 24, 1>, <32, 27, 1>, <32, 29, 1>, <32, 30, -1>, <32,
    36, -1>, <32, 38, -1>, <32, 40, 1>, <32, 45, -1>, <32, 46, -1>, <32, 48, 
    -1>, <32, 52, 1>, <32, 57, -1>, <32, 61, 1>, <32, 65, 1>, <32, 67, 1>, <32,
    71, 1>, <32, 76, -1>, <32, 80, 1>, <32, 81, 1>,  <33, 19, 1>, <33, 20, -1>,
    <33, 22, -2>, <33, 23, 1>, <33, 24, -1>, <33, 28, 1>, <33, 35, 1>, <33, 36,
    2>, <33, 41, -1>, <33, 42, 1>, <33, 45, -1>, <33, 48, -1>, <33, 49, -1>, 
    <33, 50, 1>, <33, 55, -1>, <33, 65, -1>, <33, 67, -1>, <33, 71, 1>, <33, 
    78, 1>, <33, 80, -1>, <33, 82, -1>, <33, 83, -1>,  <34, 18, 1>, <34, 20, 
    -1>, <34, 22, -1>, <34, 23, 1>, <34, 28, 1>, <34, 31, 1>, <34, 32, 1>, <34,
    34, -1>, <34, 36, 3>, <34, 37, -1>, <34, 40, -2>, <34, 41, -1>, <34, 42, 
    1>, <34, 46, 1>, <34, 49, -1>, <34, 50, 1>, <34, 51, -1>, <34, 52, -1>, 
    <34, 55, -1>, <34, 57, 1>, <34, 65, -2>, <34, 69, -1>, <34, 79, -2>, <34, 
    81, 1>, <34, 82, 1>, <34, 85, 1>,  <35, 19, -1>, <35, 20, 1>, <35, 21, -1>,
    <35, 22, 2>, <35, 23, 1>, <35, 28, 1>, <35, 30, -2>, <35, 31, -1>, <35, 32,
    -1>, <35, 33, 1>, <35, 36, -2>, <35, 38, -1>, <35, 40, 1>, <35, 45, -1>, 
    <35, 46, -2>, <35, 48, 2>, <35, 51, -2>, <35, 53, -1>, <35, 55, 1>, <35, 
    56, 1>, <35, 61, 2>, <35, 65, 1>, <35, 67, 1>, <35, 69, 2>, <35, 74, 1>, 
    <35, 76, 1>, <35, 78, 1>, <35, 79, 3>, <35, 81, 1>, <35, 85, -1>,  <36, 18,
    -1>, <36, 19, -1>, <36, 20, -1>, <36, 21, -1>, <36, 27, -1>, <36, 29, 1>, 
    <36, 30, 1>, <36, 33, -1>, <36, 36, -1>, <36, 37, 1>, <36, 42, -1>, <36, 
    46, -1>, <36, 48, -1>, <36, 49, -1>, <36, 51, 1>, <36, 55, -1>, <36, 58, 
    -1>, <36, 61, -1>, <36, 67, -1>, <36, 74, -1>, <36, 78, -1>, <36, 79, -1>, 
    <36, 81, -1>,  <37, 30, -1>, <37, 33, -1>, <37, 35, -2>, <37, 36, -2>, <37,
    40, 1>, <37, 42, -1>, <37, 46, -1>, <37, 48, -1>, <37, 51, 1>, <37, 54, 1>,
    <37, 56, 1>, <37, 58, -2>, <37, 61, -1>, <37, 65, 1>, <37, 71, -1>, <37, 
    74, -3>, <37, 78, -2>, <37, 79, -2>, <37, 83, 1>, <37, 85, 1>,  <38, 18, 
    -1>, <38, 20, 1>, <38, 21, -1>, <38, 23, 1>, <38, 24, 1>, <38, 26, 1>, <38,
    27, -1>, <38, 29, 1>, <38, 31, -1>, <38, 37, 1>, <38, 38, -1>, <38, 41, 1>,
    <38, 42, -1>, <38, 45, 1>, <38, 46, -1>, <38, 48, 1>, <38, 50, -1>, <38, 
    53, 1>, <38, 54, -1>, <38, 55, -1>, <38, 65, 1>, <38, 67, 2>, <38, 76, -1>,
    <38, 78, 1>, <38, 80, 1>, <38, 81, 1>, <38, 82, 1>, <38, 83, -1>,  <39, 18,
    1>, <39, 19, -2>, <39, 20, -1>, <39, 21, 1>, <39, 23, -1>, <39, 25, 1>, 
    <39, 31, 1>, <39, 34, -1>, <39, 37, -1>, <39, 40, -1>, <39, 46, 1>, <39, 
    48, -1>, <39, 51, -1>, <39, 55, 1>, <39, 71, 1>, <39, 76, 1>, <39, 78, -2>,
    <39, 82, 1>, <39, 83, 1>, <39, 85, 1>,  <40, 18, 2>, <40, 19, 1>, <40, 20, 
    1>, <40, 22, -1>, <40, 29, 1>, <40, 30, -1>, <40, 41, -1>, <40, 42, 1>, 
    <40, 46, 1>, <40, 49, -1>, <40, 50, 1>, <40, 52, -1>, <40, 53, -1>, <40, 
    54, 1>, <40, 56, -1>, <40, 67, -1>, <40, 74, -1>, <40, 79, 1>, <40, 83, 1>,
    <40, 85, 1>,  <41, 18, 1>, <41, 20, 1>, <41, 21, 1>, <41, 22, -1>, <41, 23,
    1>, <41, 26, 1>, <41, 27, -1>, <41, 28, 1>, <41, 31, 1>, <41, 33, 1>, <41, 
    35, -1>, <41, 36, 1>, <41, 40, -1>, <41, 42, -1>, <41, 45, 2>, <41, 46, 1>,
    <41, 50, -1>, <41, 52, -1>, <41, 54, -1>, <41, 57, 1>, <41, 59, -1>, <41, 
    61, -1>, <41, 65, 1>, <41, 71, -1>, <41, 78, -1>, <41, 82, 1>, <41, 83, 
    -1>, <41, 85, 1>,  <42, 18, 1>, <42, 19, 1>, <42, 20, 1>, <42, 27, -1>, 
    <42, 28, 1>, <42, 35, -1>, <42, 36, 1>, <42, 37, -1>, <42, 40, -1>, <42, 
    45, 1>, <42, 46, 1>, <42, 48, 1>, <42, 50, 1>, <42, 51, -1>, <42, 52, -1>, 
    <42, 59, 1>, <42, 61, -1>, <42, 69, -1>, <42, 71, -1>, <42, 74, -1>, <42, 
    79, -1>, <42, 83, 1>, <42, 85, 1>,  <43, 18, 1>, <43, 19, 1>, <43, 20, -1>,
    <43, 21, 1>, <43, 22, 1>, <43, 23, -1>, <43, 26, -1>, <43, 29, -2>, <43, 
    30, -1>, <43, 31, 1>, <43, 34, 1>, <43, 36, -1>, <43, 37, -2>, <43, 40, 
    -1>, <43, 42, -1>, <43, 45, 1>, <43, 46, 2>, <43, 48, -2>, <43, 51, 2>, 
    <43, 52, -1>, <43, 53, 1>, <43, 55, 1>, <43, 58, -1>, <43, 59, 1>, <43, 61,
    -2>, <43, 65, 1>, <43, 67, -1>, <43, 71, -1>, <43, 74, -1>, <43, 75, 1>, 
    <43, 78, -1>, <43, 80, 1>, <43, 82, -2>, <43, 83, 1>, <43, 85, 1>,  <44, 
    18, 1>, <44, 21, -1>, <44, 23, 1>, <44, 24, 1>, <44, 27, 1>, <44, 28, 1>, 
    <44, 29, -2>, <44, 30, -2>, <44, 32, -1>, <44, 33, 1>, <44, 36, -1>, <44, 
    40, 2>, <44, 42, -1>, <44, 45, -2>, <44, 48, 1>, <44, 50, 1>, <44, 51, -2>,
    <44, 54, 1>, <44, 56, 1>, <44, 57, -1>, <44, 58, -1>, <44, 59, -1>, <44, 
    60, -1>, <44, 61, 1>, <44, 64, 1>, <44, 65, 1>, <44, 67, 2>, <44, 69, 1>, 
    <44, 71, -1>, <44, 78, 1>, <44, 81, 1>, <44, 82, 1>, <44, 83, 1>, <44, 85, 
    1>,  <45, 18, 1>, <45, 19, 1>, <45, 20, 1>, <45, 26, 1>, <45, 30, -1>, <45,
    34, 1>, <45, 35, -1>, <45, 36, -2>, <45, 37, 1>, <45, 40, 1>, <45, 42, -1>,
    <45, 51, 1>, <45, 57, -1>, <45, 58, -1>, <45, 61, -1>, <45, 65, 2>, <45, 
    71, -1>, <45, 74, -2>, <45, 78, -1>, <45, 85, 1>,  <46, 19, -1>, <46, 20, 
    1>, <46, 22, -1>, <46, 24, 1>, <46, 26, 1>, <46, 28, -1>, <46, 29, 2>, <46,
    30, -1>, <46, 31, 1>, <46, 35, -1>, <46, 36, -1>, <46, 37, 1>, <46, 40, 2>,
    <46, 42, -1>, <46, 46, -1>, <46, 48, -2>, <46, 51, 1>, <46, 52, 1>, <46, 
    56, 1>, <46, 59, -1>, <46, 61, 1>, <46, 65, 1>, <46, 71, -1>, <46, 74, -2>,
    <46, 76, -1>, <46, 78, -1>, <46, 79, -1>, <46, 82, 1>, <46, 85, 1>,  <47, 
    20, 1>, <47, 21, 1>, <47, 22, -1>, <47, 24, -1>, <47, 27, -1>, <47, 28, 2>,
    <47, 30, 1>, <47, 31, -1>, <47, 36, 1>, <47, 38, -1>, <47, 40, -1>, <47, 
    41, -1>, <47, 42, 1>, <47, 45, 2>, <47, 51, -1>, <47, 55, -1>, <47, 56, 
    -1>, <47, 59, 1>, <47, 61, -2>, <47, 65, 1>, <47, 69, -1>, <47, 71, 3>, 
    <47, 72, 1>, <47, 74, -1>, <47, 78, -2>, <47, 82, -1>,  <48, 18, -1>, <48, 
    19, -1>, <48, 21, 1>, <48, 29, -2>, <48, 31, -1>, <48, 32, -1>, <48, 33, 
    1>, <48, 40, 1>, <48, 49, 1>, <48, 50, -1>, <48, 51, -1>, <48, 52, 1>, <48,
    57, -1>, <48, 58, 1>, <48, 65, 1>, <48, 67, 2>, <48, 69, 1>, <48, 71, 1>, 
    <48, 74, 1>, <48, 82, -1>,  <49, 19, -2>, <49, 22, 1>, <49, 27, 1>, <49, 
    29, -1>, <49, 30, -1>, <49, 31, -1>, <49, 36, -3>, <49, 40, 1>, <49, 41, 
    1>, <49, 42, -1>, <49, 45, -1>, <49, 46, -1>, <49, 50, -1>, <49, 52, 1>, 
    <49, 55, 1>, <49, 56, 1>, <49, 58, -1>, <49, 60, -1>, <49, 61, 1>, <49, 65,
    2>, <49, 67, 1>, <49, 69, 1>, <49, 76, 1>, <49, 78, -1>, <49, 79, 1>, <49, 
    81, 1>, <49, 83, 1>,  <50, 19, -1>, <50, 21, 2>, <50, 23, -1>, <50, 26, 1>,
    <50, 30, 1>, <50, 31, 1>, <50, 32, 1>, <50, 36, -1>, <50, 40, -1>, <50, 41,
    1>, <50, 42, -2>, <50, 45, 1>, <50, 46, 1>, <50, 48, -1>, <50, 50, -1>, 
    <50, 51, 2>, <50, 53, 2>, <50, 54, -1>, <50, 55, 1>, <50, 57, 1>, <50, 58, 
    -1>, <50, 61, -1>, <50, 65, 1>, <50, 67, -1>, <50, 71, -1>, <50, 74, -1>, 
    <50, 78, -3>, <50, 79, -1>, <50, 82, 2>, <50, 83, -1>, <50, 85, 1>,  <51, 
    20, -1>, <51, 21, 1>, <51, 22, -1>, <51, 23, -1>, <51, 24, -1>, <51, 27, 
    -1>, <51, 30, 1>, <51, 31, -1>, <51, 40, -1>, <51, 45, 1>, <51, 53, 1>, 
    <51, 56, -1>, <51, 59, 1>, <51, 61, -1>, <51, 71, 2>, <51, 74, -1>, <51, 
    76, 1>, <51, 78, -1>, <51, 79, 1>, <51, 82, -1>, <51, 83, -1>,  <52, 18, 
    -1>, <52, 19, 1>, <52, 21, 1>, <52, 23, -1>, <52, 28, -2>, <52, 29, 1>, 
    <52, 34, 1>, <52, 36, -1>, <52, 37, 1>, <52, 42, -1>, <52, 45, 1>, <52, 48,
    -1>, <52, 50, -1>, <52, 51, 2>, <52, 53, 1>, <52, 56, -1>, <52, 57, -1>, 
    <52, 58, 1>, <52, 59, 1>, <52, 61, -1>, <52, 67, 1>, <52, 71, 1>, <52, 76, 
    -1>, <52, 78, 1>, <52, 79, 1>, <52, 80, 1>, <52, 82, -2>, <52, 83, -2>, 
    <52, 85, -1>,  <53, 19, 1>, <53, 20, -1>, <53, 21, -1>, <53, 22, -1>, <53, 
    26, -1>, <53, 28, -1>, <53, 33, -1>, <53, 35, -1>, <53, 36, 1>, <53, 37, 
    -1>, <53, 38, 1>, <53, 41, -1>, <53, 42, 1>, <53, 45, 1>, <53, 48, -1>, 
    <53, 50, 1>, <53, 54, 1>, <53, 55, -1>, <53, 61, -1>, <53, 65, -1>, <53, 
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]: Check := false) where w := K.1 where K := ext<K|Polynomial(K, [5, 1, 1])> where K is 
RationalField();
K<w> := BaseRing(M);
K;
M;
