/*
Generated by Allan Steel in Magma, 2010.

Field defining polynomial: x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + 
    x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1 [Q(zeta_17)].

Traces:    [ -15, 1 ]
Density:   [ 0.0041493776, 0.99969009 ]
Denom max: [ 1, 272 ], [ [], [ <2, 4>, <17, 1> ] ]
Numer max: [ 1, 46 ]
Numer av:  [ 0.00025933610, 2.9771978 ]
Denom LCM: [ 1, 272 ], [ [], [ <2, 4>, <17, 1> ] ]

Character:
( 241, -15, 1, 1, 1, 1, 1, 1, 1, 1, zeta(17)_17^15 - 15*zeta(17)_17, 
    zeta(17)_17^11 - 15*zeta(17)_17^3, -zeta(17)_17^15 - zeta(17)_17^14 - 
    zeta(17)_17^13 - zeta(17)_17^12 - zeta(17)_17^11 - zeta(17)_17^10 - 
    16*zeta(17)_17^9 - zeta(17)_17^8 - zeta(17)_17^7 - zeta(17)_17^6 - 
    zeta(17)_17^5 - zeta(17)_17^4 - zeta(17)_17^3 - zeta(17)_17^2 - zeta(17)_17 
    - 1, zeta(17)_17^14 - 15*zeta(17)_17^10, -15*zeta(17)_17^13 + zeta(17)_17^8,
    zeta(17)_17^7 - 15*zeta(17)_17^5, -15*zeta(17)_17^15 + zeta(17)_17^4, 
    zeta(17)_17^12 - 15*zeta(17)_17^11, 15*zeta(17)_17^15 + 15*zeta(17)_17^14 + 
    15*zeta(17)_17^13 + 15*zeta(17)_17^12 + 15*zeta(17)_17^11 + 
    15*zeta(17)_17^10 + 15*zeta(17)_17^9 + 15*zeta(17)_17^8 + 15*zeta(17)_17^7 +
    15*zeta(17)_17^6 + 15*zeta(17)_17^5 + 15*zeta(17)_17^4 + 15*zeta(17)_17^3 + 
    16*zeta(17)_17^2 + 15*zeta(17)_17 + 15, -15*zeta(17)_17^14 + zeta(17)_17^6, 
    -15*zeta(17)_17^8 + zeta(17)_17, -15*zeta(17)_17^7 + zeta(17)_17^3, 
    zeta(17)_17^9 - 15*zeta(17)_17^4, -15*zeta(17)_17^12 + zeta(17)_17^10, 
    zeta(17)_17^13 - 15*zeta(17)_17^2, -15*zeta(17)_17^6 + zeta(17)_17^5, 
    zeta(17)_17^9 + zeta(17)_17^5 + zeta(17)_17^3, zeta(17)_17^15 + 
    zeta(17)_17^10 + zeta(17)_17^9, zeta(17)_17^13 + zeta(17)_17^11 + 
    zeta(17)_17^10, -zeta(17)_17^15 - zeta(17)_17^14 - zeta(17)_17^12 - 
    zeta(17)_17^11 - zeta(17)_17^10 - zeta(17)_17^9 - zeta(17)_17^8 - 
    zeta(17)_17^7 - zeta(17)_17^6 - zeta(17)_17^4 - zeta(17)_17^3 - 
    zeta(17)_17^2 - zeta(17)_17 - 1, zeta(17)_17^15 + zeta(17)_17^14 + 
    zeta(17)_17^5, zeta(17)_17^15 + zeta(17)_17^11 + zeta(17)_17^8, 
    -zeta(17)_17^15 - zeta(17)_17^14 - zeta(17)_17^13 - zeta(17)_17^12 - 
    zeta(17)_17^10 - zeta(17)_17^9 - zeta(17)_17^8 - zeta(17)_17^6 - 
    zeta(17)_17^5 - zeta(17)_17^4 - zeta(17)_17^3 - zeta(17)_17^2 - zeta(17)_17 
    - 1, -zeta(17)_17^15 - zeta(17)_17^13 - zeta(17)_17^12 - zeta(17)_17^11 - 
    zeta(17)_17^10 - zeta(17)_17^9 - zeta(17)_17^8 - zeta(17)_17^7 - 
    zeta(17)_17^6 - zeta(17)_17^5 - zeta(17)_17^3 - zeta(17)_17^2 - zeta(17)_17 
    - 1, zeta(17)_17^14 + zeta(17)_17^12 + zeta(17)_17^8, zeta(17)_17^8 + 
    zeta(17)_17^7 + zeta(17)_17^2, zeta(17)_17^7 + zeta(17)_17^6 + 
    zeta(17)_17^4, zeta(17)_17^12 + zeta(17)_17^4 + zeta(17)_17, zeta(17)_17^12 
    + zeta(17)_17^3 + zeta(17)_17^2, zeta(17)_17^9 + zeta(17)_17^6 + 
    zeta(17)_17^2, zeta(17)_17^10 + zeta(17)_17^6 + zeta(17)_17, zeta(17)_17^13 
    + zeta(17)_17^3 + zeta(17)_17, zeta(17)_17^14 + zeta(17)_17^11 + 
    zeta(17)_17^9, -zeta(17)_17^15 - zeta(17)_17^14 - zeta(17)_17^13 - 
    zeta(17)_17^12 - zeta(17)_17^11 - zeta(17)_17^9 - zeta(17)_17^7 - 
    zeta(17)_17^6 - zeta(17)_17^5 - zeta(17)_17^4 - zeta(17)_17^3 - 
    zeta(17)_17^2 - zeta(17)_17 - 1, zeta(17)_17^14 + zeta(17)_17^13 + 
    zeta(17)_17^7, zeta(17)_17^8 + zeta(17)_17^5 + zeta(17)_17^4, zeta(17)_17^15
    + zeta(17)_17^12 + zeta(17)_17^7, zeta(17)_17^11 + zeta(17)_17^4 + 
    zeta(17)_17^2, -zeta(17)_17^15 - zeta(17)_17^14 - zeta(17)_17^13 - 
    zeta(17)_17^11 - zeta(17)_17^10 - zeta(17)_17^9 - zeta(17)_17^8 - 
    zeta(17)_17^7 - zeta(17)_17^5 - zeta(17)_17^4 - zeta(17)_17^3 - 
    zeta(17)_17^2 - zeta(17)_17 - 1, zeta(17)_17^14 + zeta(17)_17^2 + 
    zeta(17)_17, zeta(17)_17^8 + zeta(17)_17^6 + zeta(17)_17^3, zeta(17)_17^9 + 
    zeta(17)_17^7 + zeta(17)_17, zeta(17)_17^10 + zeta(17)_17^4 + zeta(17)_17^3,
    zeta(17)_17^13 + zeta(17)_17^12 + zeta(17)_17^9, zeta(17)_17^10 +
    zeta(17)_17^5 + zeta(17)_17^2, zeta(17)_17^15 + zeta(17)_17^13
    + zeta(17)_17^6, zeta(17)_17^11 + zeta(17)_17^5 + zeta(17)_17,
    -zeta(17)_17^14 - zeta(17)_17^13 - zeta(17)_17^12 - zeta(17)_17^11 -
    zeta(17)_17^10 - zeta(17)_17^9 - zeta(17)_17^8 - zeta(17)_17^7 -
    zeta(17)_17^6 - zeta(17)_17^5 - zeta(17)_17^4 - zeta(17)_17^2 -
    zeta(17)_17 - 1, zeta(17)_17^15 + zeta(17)_17^2 + 1, zeta(17)_17^13 +
    zeta(17)_17^4 + 1, zeta(17)_17^11 + zeta(17)_17^6 + 1, zeta(17)_17^9
    + zeta(17)_17^8 + 1, zeta(17)_17^10 + zeta(17)_17^7 + 1,
    zeta(17)_17^12 + zeta(17)_17^5 + 1, zeta(17)_17^14 + zeta(17)_17^3 +
    1, -zeta(17)_17^15 - zeta(17)_17^14 - zeta(17)_17^13 - zeta(17)_17^12
    - zeta(17)_17^11 - zeta(17)_17^10 - zeta(17)_17^9 - zeta(17)_17^8
    - zeta(17)_17^7 - zeta(17)_17^6 - zeta(17)_17^5 - zeta(17)_17^4 -
    zeta(17)_17^3 - zeta(17)_17^2, -zeta(17)_17^15 - zeta(17)_17^14 -
    zeta(17)_17^13 - zeta(17)_17^12 - zeta(17)_17^11 - zeta(17)_17^10
    - zeta(17)_17^8 - zeta(17)_17^7 - zeta(17)_17^6 - zeta(17)_17^5 -
    zeta(17)_17^4 - zeta(17)_17^3 - zeta(17)_17^2 - zeta(17)_17 - 1,
    zeta(17)_17^14 + zeta(17)_17^10, zeta(17)_17^12 + zeta(17)_17^11,
    zeta(17)_17^12 + zeta(17)_17^10, zeta(17)_17^13 + zeta(17)_17^8,
    zeta(17)_17^14 + zeta(17)_17^6, zeta(17)_17^15 + zeta(17)_17^4,
    -zeta(17)_17^15 - zeta(17)_17^14 - zeta(17)_17^13 - zeta(17)_17^12 -
    zeta(17)_17^11 - zeta(17)_17^10 - zeta(17)_17^9 - zeta(17)_17^8 -
    zeta(17)_17^7 - zeta(17)_17^6 - zeta(17)_17^5 - zeta(17)_17^4 -
    zeta(17)_17^3 - zeta(17)_17 - 1, zeta(17)_17^15 + zeta(17)_17,
    zeta(17)_17^13 + zeta(17)_17^2, zeta(17)_17^11 + zeta(17)_17^3,
    zeta(17)_17^9 + zeta(17)_17^4, zeta(17)_17^7 + zeta(17)_17^5,
    zeta(17)_17^6 + zeta(17)_17^5, zeta(17)_17^7 + zeta(17)_17^3,
    zeta(17)_17^8 + zeta(17)_17, zeta(17)_17^7, zeta(17)_17^14,
    zeta(17)_17^11, zeta(17)_17, zeta(17)_17^15, zeta(17)_17^5,
    zeta(17)_17^2, zeta(17)_17^9, zeta(17)_17^6, zeta(17)_17^13,
    zeta(17)_17^10, zeta(17)_17^4, zeta(17)_17^8, zeta(17)_17^12,
    -zeta(17)_17^15 - zeta(17)_17^14 - zeta(17)_17^13 - zeta(17)_17^12 -
    zeta(17)_17^11 - zeta(17)_17^10 - zeta(17)_17^9 - zeta(17)_17^8 -
    zeta(17)_17^7 - zeta(17)_17^6 - zeta(17)_17^5 - zeta(17)_17^4 -
    zeta(17)_17^3 - zeta(17)_17^2 - zeta(17)_17 - 1, zeta(17)_17^3,
    zeta(17)_17^8, -zeta(17)_17^15 - zeta(17)_17^14 - zeta(17)_17^13 -
    zeta(17)_17^12 - zeta(17)_17^11 - zeta(17)_17^10 - zeta(17)_17^9 -
    zeta(17)_17^8 - zeta(17)_17^7 - zeta(17)_17^6 - zeta(17)_17^5 -
    zeta(17)_17^4 - zeta(17)_17^3 - zeta(17)_17^2 - zeta(17)_17 - 1,
    zeta(17)_17^7, zeta(17)_17^15, zeta(17)_17^14, zeta(17)_17^5,
    zeta(17)_17^13, zeta(17)_17^4, zeta(17)_17^3, zeta(17)_17^11,
    zeta(17)_17^2, zeta(17)_17^10, zeta(17)_17^9, zeta(17)_17^8,
    -zeta(17)_17^15 - zeta(17)_17^14 - zeta(17)_17^13 - zeta(17)_17^12 -
    zeta(17)_17^11 - zeta(17)_17^10 - zeta(17)_17^9 - zeta(17)_17^8 -
    zeta(17)_17^7 - zeta(17)_17^6 - zeta(17)_17^5 - zeta(17)_17^4 -
    zeta(17)_17^3 - zeta(17)_17^2 - zeta(17)_17 - 1, zeta(17)_17^6,
    zeta(17)_17^14, zeta(17)_17^5, zeta(17)_17^12, zeta(17)_17^3,
    zeta(17)_17^11, zeta(17)_17, zeta(17)_17^9, zeta(17)_17^15,
    zeta(17)_17^6, zeta(17)_17^4, zeta(17)_17^12, zeta(17)_17^10,
    zeta(17)_17, zeta(17)_17^7, zeta(17)_17^13, zeta(17)_17^2, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, zeta(17)_17^2, zeta(17)_17^4,
    zeta(17)_17^8, zeta(17)_17^14, -zeta(17)_17^15 - zeta(17)_17^14 -
    zeta(17)_17^13 - zeta(17)_17^12 - zeta(17)_17^11 - zeta(17)_17^10 -
    zeta(17)_17^9 - zeta(17)_17^8 - zeta(17)_17^7 - zeta(17)_17^6 -
    zeta(17)_17^5 - zeta(17)_17^4 - zeta(17)_17^3 - zeta(17)_17^2 -
    zeta(17)_17 - 1, zeta(17)_17^5, zeta(17)_17^9, zeta(17)_17^11,
    zeta(17)_17^15, zeta(17)_17^4, zeta(17)_17^10, zeta(17)_17^12,
    zeta(17)_17, zeta(17)_17^5, zeta(17)_17^7, zeta(17)_17^13,
    zeta(17)_17^6, zeta(17)_17^8, zeta(17)_17^14, zeta(17)_17,
    zeta(17)_17^3, zeta(17)_17^13, zeta(17)_17^2, zeta(17)_17^4,
    zeta(17)_17^10, zeta(17)_17^14, -zeta(17)_17^15 - zeta(17)_17^14 -
    zeta(17)_17^13 - zeta(17)_17^12 - zeta(17)_17^11 - zeta(17)_17^10 -
    zeta(17)_17^9 - zeta(17)_17^8 - zeta(17)_17^7 - zeta(17)_17^6 -
    zeta(17)_17^5 - zeta(17)_17^4 - zeta(17)_17^3 - zeta(17)_17^2 -
    zeta(17)_17 - 1, zeta(17)_17^9, zeta(17)_17^15, zeta(17)_17^6,
    zeta(17)_17^10, zeta(17)_17^12, zeta(17)_17^11, zeta(17)_17^13,
    zeta(17)_17^2, zeta(17)_17^6, zeta(17)_17^8, zeta(17)_17^7,
    zeta(17)_17^9, zeta(17)_17^15, zeta(17)_17^2, zeta(17)_17^4,
    zeta(17)_17^3, zeta(17)_17^5, zeta(17)_17^11, zeta(17)_17^15,
    zeta(17)_17, zeta(17)_17^7, zeta(17)_17^11, zeta(17)_17^13,
    zeta(17)_17^3, zeta(17)_17^7, zeta(17)_17^9, -zeta(17)_17^15 -
    zeta(17)_17^14 - zeta(17)_17^13 - zeta(17)_17^12 - zeta(17)_17^11 -
    zeta(17)_17^10 - zeta(17)_17^9 - zeta(17)_17^8 - zeta(17)_17^7 -
    zeta(17)_17^6 - zeta(17)_17^5 - zeta(17)_17^4 - zeta(17)_17^3 -
    zeta(17)_17^2 - zeta(17)_17 - 1, zeta(17)_17^3, zeta(17)_17^5,
    zeta(17)_17^12, -zeta(17)_17^15 - zeta(17)_17^14 - zeta(17)_17^13 -
    zeta(17)_17^12 - zeta(17)_17^11 - zeta(17)_17^10 - zeta(17)_17^9 -
    zeta(17)_17^8 - zeta(17)_17^7 - zeta(17)_17^6 - zeta(17)_17^5 -
    zeta(17)_17^4 - zeta(17)_17^3 - zeta(17)_17^2 - zeta(17)_17 -
    1, zeta(17)_17, zeta(17)_17^12, zeta(17)_17^14, zeta(17)_17^8,
    zeta(17)_17^10, zeta(17)_17^6 )
*/

G := PermutationGroup(ATLASGroup("U316"));
M :=
GModule(G, [
    Matrix(SparseMatrix(K, 241, 241, [
    <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, 19, -1>,  <20, 20, -1>,  <21, 21, -1>,  <22, 
    22, -1>,  <23, 23, -1>,  <24, 24, -1>,  <25, 25, -1>,  <26, 26, -1>,  <27, 
    27, -1>,  <28, 28, -1>,  <29, 29, -1>,  <30, 30, -1>,  <31, 31, -1>,  <32, 
    32, -1>,  <33, 33, -1>,  <34, 34, 1>,  <35, 35, 1>,  <36, 36, 1>,  <37, 37, 
    1>,  <38, 38, 1>,  <39, 39, 1>,  <40, 40, 1>,  <41, 41, 1>,  <42, 42, 1>,  
    <43, 43, 1>,  <44, 44, 1>,  <45, 45, 1>,  <46, 46, 1>,  <47, 47, 1>,  <48, 
    48, 1>,  <49, 49, 1>,  <50, 50, 1>,  <51, 51, 1>,  <52, 52, 1>,  <53, 53, 
    1>,  <54, 54, 1>,  <55, 55, 1>,  <56, 56, 1>,  <57, 57, 1>,  <58, 58, 1>,  
    <59, 59, 1>,  <60, 60, 1>,  <61, 61, 1>,  <62, 62, 1>,  <63, 63, 1>,  <64, 
    64, 1>,  <65, 65, 1>,  <66, 66, 1>,  <67, 67, 1>,  <68, 68, 1>,  <69, 69, 
    1>,  <70, 70, 1>,  <71, 71, 1>,  <72, 72, 1>,  <73, 73, 1>,  <74, 74, 1>,  
    <75, 75, 1>,  <76, 76, 1>,  <77, 77, 1>,  <78, 78, 1>,  <79, 79, 1>,  <80, 
    80, 1>,  <81, 81, 1>,  <82, 82, -1>,  <83, 83, -1>,  <84, 84, -1>,  <85, 85,
    -1>,  <86, 86, -1>,  <87, 87, -1>,  <88, 88, -1>,  <89, 89, -1>,  <90, 90, 
    -1>,  <91, 91, -1>,  <92, 92, -1>,  <93, 93, -1>,  <94, 94, -1>,  <95, 95, 
    -1>,  <96, 96, -1>,  <97, 97, -1>,  <98, 98, 1>,  <99, 99, 1>,  <100, 100, 
    1>,  <101, 101, 1>,  <102, 102, 1>,  <103, 103, 1>,  <104, 104, 1>,  <105, 
    105, 1>,  <106, 106, 1>,  <107, 107, 1>,  <108, 108, 1>,  <109, 109, 1>,  
    <110, 110, 1>,  <111, 111, 1>,  <112, 112, 1>,  <113, 113, 1>,  <114, 114, 
    -1>,  <115, 115, -1>,  <116, 116, -1>,  <117, 117, -1>,  <118, 118, -1>,  
    <119, 119, -1>,  <120, 120, -1>,  <121, 121, -1>,  <122, 122, -1>,  <123, 
    123, -1>,  <124, 124, -1>,  <125, 125, -1>,  <126, 126, -1>,  <127, 127, 
    -1>,  <128, 128, -1>,  <129, 129, -1>,  <130, 130, 1>,  <131, 131, 1>,  
    <132, 132, 1>,  <133, 133, 1>,  <134, 134, 1>,  <135, 135, 1>,  <136, 136, 
    1>,  <137, 137, 1>,  <138, 138, 1>,  <139, 139, 1>,  <140, 140, 1>,  <141, 
    141, 1>,  <142, 142, 1>,  <143, 143, 1>,  <144, 144, 1>,  <145, 145, 1>,  
    <146, 146, 1>,  <147, 147, 1>,  <148, 148, 1>,  <149, 149, 1>,  <150, 150, 
    1>,  <151, 151, 1>,  <152, 152, 1>,  <153, 153, 1>,  <154, 154, 1>,  <155, 
    155, 1>,  <156, 156, 1>,  <157, 157, 1>,  <158, 158, 1>,  <159, 159, 1>,  
    <160, 160, 1>,  <161, 161, 1>,  <162, 162, -1>,  <163, 163, -1>,  <164, 164,
    -1>,  <165, 165, -1>,  <166, 166, -1>,  <167, 167, -1>,  <168, 168, -1>,  
    <169, 169, -1>,  <170, 170, -1>,  <171, 171, -1>,  <172, 172, -1>,  <173, 
    173, -1>,  <174, 174, -1>,  <175, 175, -1>,  <176, 176, -1>,  <177, 177, 
    -1>,  <178, 178, -1>,  <179, 179, -1>,  <180, 180, -1>,  <181, 181, -1>,  
    <182, 182, -1>,  <183, 183, -1>,  <184, 184, -1>,  <185, 185, -1>,  <186, 
    186, -1>,  <187, 187, -1>,  <188, 188, -1>,  <189, 189, -1>,  <190, 190, 
    -1>,  <191, 191, -1>,  <192, 192, -1>,  <193, 193, -1>,  <194, 194, -1>,  
    <195, 195, -1>,  <196, 196, -1>,  <197, 197, -1>,  <198, 198, -1>,  <199, 
    199, -1>,  <200, 200, -1>,  <201, 201, -1>,  <202, 202, -1>,  <203, 203, 
    -1>,  <204, 204, -1>,  <205, 205, -1>,  <206, 206, -1>,  <207, 207, -1>,  
    <208, 208, -1>,  <209, 209, -1>,  <210, 210, -1>,  <211, 211, -1>,  <212, 
    212, -1>,  <213, 213, -1>,  <214, 214, -1>,  <215, 215, -1>,  <216, 216, 
    -1>,  <217, 217, -1>,  <218, 218, -1>,  <219, 219, -1>,  <220, 220, -1>,  
    <221, 221, -1>,  <222, 222, -1>,  <223, 223, -1>,  <224, 224, -1>,  <225, 
    225, -1>,  <226, 226, 1>,  <227, 227, 1>,  <228, 228, 1>,  <229, 229, 1>,  
    <230, 230, 1>,  <231, 231, 1>,  <232, 232, 1>,  <233, 233, 1>,  <234, 234, 
    1>,  <235, 235, 1>,  <236, 236, 1>,  <237, 237, 1>,  <238, 238, 1>,  <239, 
    239, 1>,  <240, 240, 1>,  <241, 241, 1> ])),
    Matrix(K, 241, 241,
        [ [ 0, 0, 0, 0, 0, 0, 0, 0, -1/16, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 1/136, 
        -1/136, 0, -1/68, 0, 1/68, 0, 1/136, -1/136, 0, 0, 0, 1/68, -1/68, 0 ], 
        [ -1/136, 0, -1/136, -1/272, -1/272, 0, -1/136, 0, -1/136, -1/136, 
        -1/272, 0, -1/272, -1/136, -1/272, 0 ], [ -3/68, 0, -1/34, -1/136, 
        -5/136, -1/136, -3/136, -1/68, -3/136, -1/34, -3/136, -5/136, -1/136, 
        -5/136, -1/68, -3/68 ], [ -1/68, -1/68, -3/136, 0, 1/136, -1/136, -1/68,
        -1/68, -1/136, 0, 0, -1/136, -3/136, -1/68, 1/136, 0 ], [ -1/68, -1/136,
        0, -1/68, 0, -1/68, -1/136, 0, -1/68, 0, -3/136, -1/68, -1/136, 0, 
        1/136, -1/68 ], [ -1/136, 0, 1/136, 1/136, 0, -1/136, 0, 0, 0, 1/136, 0,
        -1/136, -1/136, 0, 1/136, 0 ], [ -5/136, 0, -1/34, 1/136, -1/34, 0, 
        -3/136, -1/136, -3/136, -1/68, -1/68, -1/68, -1/136, -3/136, -1/136, 
        -1/34 ], [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 0, 
        -1/136, -1/68, -1/68, -1/136, -1/136, -1/136, -1/136, -1/272, 0, -1/68, 
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        3/136, 3/68, 5/136 ], [ -1/34, -1/34, -1/34, -1/34, -1/34, -1/34, -1/34,
        -1/68, -1/68, -3/68, -1/34, 0, -1/34, -3/68, -3/68, -5/68 ], [ 0, -1/68,
        1/68, -1/68, -1/34, -1/68, -3/68, -1/34, 1/34, 1/34, -1/68, -1/34, 
        -1/34, -1/34, -3/68, -1/34 ], [ 0, 1/136, -5/136, -5/136, -1/34, -1/34, 
        -3/68, -9/136, -7/136, -3/136, 0, 1/68, 3/68, 0, -1/68, 1/68 ], [ 0, 
        1/68, -1/34, 3/68, 0, -1/17, 0, -1/34, -3/34, 1/34, -1/34, -5/68, 0, 
        -3/68, -3/68, 1/17 ], [ -1/17, -1/17, 1/68, -1/68, -1/17, -3/68, -1/68, 
        -1/68, -3/68, -1/68, -1/68, -5/68, -3/68, 0, -1/34, -1/34 ], [ -3/136, 
        -1/34, -1/68, 0, 1/34, 1/136, -1/34, -3/136, -3/136, 0, 0, -3/136, 
        -1/34, -1/68, 3/136, 3/136 ], [ -1/34, 1/68, 0, -1/68, -3/68, -3/68, 
        -1/34, -1/17, -3/68, -1/34, -1/68, 0, 1/68, 1/34, -1/68, 1/68 ], [ 
        1/136, 7/136, 9/136, 13/136, 1/34, -1/34, 0, 1/17, 3/34, 7/68, 5/136, 
        3/136, 9/136, 9/136, 2/17, 13/136 ], [ -5/136, 5/136, 1/34, -1/68, 
        1/136, -1/68, -3/136, 5/136, 1/136, -1/136, 1/68, -3/136, 0, 1/68, 
        -5/136, 1/136 ], [ -1/136, 1/136, 1/68, -3/136, 0, 3/136, -3/136, 1/136,
        -1/136, 3/136, -1/136, -1/68, 3/136, 0, -1/136, -1/136 ] ])
]: Check := false) where w := K.1 where K := CyclotomicField(17);
K<w> := BaseRing(M);
K;
M;
