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Introduction) endobj 32 0 obj << /S /GoTo /D (section.2) >> endobj 35 0 obj (2. Preliminaries) endobj 36 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 39 0 obj (2.1. Notation) endobj 40 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 43 0 obj (2.2. Fourier coefficients) endobj 44 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 47 0 obj (2.3. Density and moment sums) endobj 48 0 obj << /S /GoTo /D (section.3) >> endobj 51 0 obj (3. Extending support for the moments of the 1-level density) endobj 52 0 obj << /S /GoTo /D (subsection.3.1) >> endobj 55 0 obj (3.1. Eliminating subterms of S2\(n\).) endobj 56 0 obj << /S /GoTo /D (subsection.3.2) >> endobj 59 0 obj (3.2. Simplifying the subterms) endobj 60 0 obj << /S /GoTo /D (subsection.3.3) >> endobj 63 0 obj (3.3. Evaluating S2\(n\)) endobj 64 0 obj << /S /GoTo /D (section.4) >> endobj 67 0 obj (4. Explicit calculations of E\(, \)) endobj 68 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 71 0 obj (4.1. Converting from sums to integrals) endobj 72 0 obj << /S /GoTo /D (subsection.4.2) >> endobj 75 0 obj (4.2. Vanishing off the diagonal) endobj 76 0 obj << /S /GoTo /D (subsection.4.3) >> endobj 79 0 obj (4.3. Converting to closed form integrals) endobj 80 0 obj << /S /GoTo /D (subsection.4.4) >> endobj 83 0 obj (4.4. Simplifying the main term) endobj 84 0 obj << /S /GoTo /D (section.5) >> endobj 87 0 obj (5. Extending support for random matrix theory) endobj 88 0 obj << /S /GoTo /D (subsection.5.1) >> endobj 91 0 obj (5.1. Introduction) endobj 92 0 obj << /S /GoTo /D (subsection.5.2) >> endobj 95 0 obj (5.2. Preliminaries) endobj 96 0 obj << /S /GoTo /D (subsection.5.3) >> endobj 99 0 obj (5.3. Computing the combinatorial piece) endobj 100 0 obj << /S /GoTo /D (subsection.5.4) >> endobj 103 0 obj (5.4. Computing the integral piece) endobj 104 0 obj << /S /GoTo /D (appendix.A) >> endobj 107 0 obj (Appendix A. 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