SAGE: Software for Algebra and Geometry Experimentation

SAGE Version 1.3.2, Build Date: 2006-05-22-1905

(enter input and press shift-enter)
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H + 
Modular Symbols subspace of dimension 3 of Modular Symbols space of dimension 4 for
Gamma_0(43) of weight 2 with sign 1 over Rational Field
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H + 
[
Modular Symbols subspace of dimension 1 of Modular Symbols space of dimension 4 for
Gamma_0(43) of weight 2 with sign 1 over Rational Field,
Modular Symbols subspace of dimension 2 of Modular Symbols space of dimension 4 for
Gamma_0(43) of weight 2 with sign 1 over Rational Field
]
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H + 
q - 2*q^2 - 2*q^3 + 2*q^4 - 4*q^5 + 4*q^6 + q^9 + O(q^10)
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H + 
q + alpha*q^2 + -alpha*q^3 + (-alpha + 2)*q^5 + -2*q^6 + (alpha - 2)*q^7 + -2*alpha*q^8 +
-q^9 + O(q^10)
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H + 
Modular Symbols subspace of dimension 32 of Modular Symbols space of dimension 33 for
Gamma_0(389) of weight 2 with sign 1 over Rational Field
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H + 
[
Modular Symbols subspace of dimension 1 of Modular Symbols space of dimension 33 for
Gamma_0(389) of weight 2 with sign 1 over Rational Field,
Modular Symbols subspace of dimension 2 of Modular Symbols space of dimension 33 for
Gamma_0(389) of weight 2 with sign 1 over Rational Field,
Modular Symbols subspace of dimension 3 of Modular Symbols space of dimension 33 for
Gamma_0(389) of weight 2 with sign 1 over Rational Field,
Modular Symbols subspace of dimension 6 of Modular Symbols space of dimension 33 for
Gamma_0(389) of weight 2 with sign 1 over Rational Field,
Modular Symbols subspace of dimension 20 of Modular Symbols space of dimension 33 for
Gamma_0(389) of weight 2 with sign 1 over Rational Field
]
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H + 
q - 2*q^2 - 2*q^3 + 2*q^4 - 3*q^5 + 4*q^6 - 5*q^7 + q^9 + 6*q^10 - 4*q^11 - 4*q^12 -
3*q^13 + 10*q^14 + 6*q^15 - 4*q^16 - 6*q^17 - 2*q^18 + 5*q^19 + O(q^20)
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S +
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H + 
(4, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, -2)
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H + 
(6, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 4, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
0, 0, 0, -4)
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H + 
(20, 4, -4, -4, 4, -8, 10, 0, 0, 2, -2, 0, 4, 10, -10, 2, 2, 2, 0, 2, 0, 2, -4, 2, 4, -2,
2, 2, 2, 0, 2, -4, -14)
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S +
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H +