Properties

Label 605.2.j.e.444.2
Level $605$
Weight $2$
Character 605.444
Analytic conductor $4.831$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.j (of order \(10\), degree \(4\), not minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{10})\)
Coefficient field: 16.0.6879707136000000000000.7
Defining polynomial: \( x^{16} - 4x^{14} + 15x^{12} - 56x^{10} + 209x^{8} - 56x^{6} + 15x^{4} - 4x^{2} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 444.2
Root \(0.492303 + 0.159959i\) of defining polynomial
Character \(\chi\) \(=\) 605.444
Dual form 605.2.j.e.124.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.304260 + 0.418778i) q^{2} +(1.83730 + 0.596975i) q^{3} +(0.535233 + 1.64728i) q^{4} +(-0.570005 + 2.16220i) q^{5} +(-0.809017 + 0.587785i) q^{6} +(-3.18230 + 1.03399i) q^{7} +(-1.83730 - 0.596975i) q^{8} +(0.592242 + 0.430289i) q^{9} +O(q^{10})\) \(q+(-0.304260 + 0.418778i) q^{2} +(1.83730 + 0.596975i) q^{3} +(0.535233 + 1.64728i) q^{4} +(-0.570005 + 2.16220i) q^{5} +(-0.809017 + 0.587785i) q^{6} +(-3.18230 + 1.03399i) q^{7} +(-1.83730 - 0.596975i) q^{8} +(0.592242 + 0.430289i) q^{9} +(-0.732051 - 0.896575i) q^{10} +3.34607i q^{12} +(2.49376 - 3.43237i) q^{13} +(0.535233 - 1.64728i) q^{14} +(-2.33805 + 3.63233i) q^{15} +(-1.99350 + 1.44836i) q^{16} +(2.27103 + 3.12580i) q^{17} +(-0.360391 + 0.117098i) q^{18} +(-1.29668 + 3.99078i) q^{19} +(-3.86682 + 0.218323i) q^{20} -6.46410 q^{21} -3.48477i q^{23} +(-3.01929 - 2.19364i) q^{24} +(-4.35019 - 2.46492i) q^{25} +(0.678648 + 2.08867i) q^{26} +(-2.57529 - 3.54458i) q^{27} +(-3.40654 - 4.68870i) q^{28} +(2.14093 + 6.58911i) q^{29} +(-0.809764 - 2.08429i) q^{30} +(7.06438 + 5.13257i) q^{31} -5.13922i q^{32} -2.00000 q^{34} +(-0.421768 - 7.47013i) q^{35} +(-0.391818 + 1.20589i) q^{36} +(-1.70539 + 0.554114i) q^{37} +(-1.27672 - 1.75726i) q^{38} +(6.63083 - 4.81758i) q^{39} +(2.33805 - 3.63233i) q^{40} +(-0.535233 + 1.64728i) q^{41} +(1.96677 - 2.70702i) q^{42} -6.45189i q^{43} +(-1.26795 + 1.03528i) q^{45} +(1.45934 + 1.06028i) q^{46} +(10.8919 + 3.53899i) q^{47} +(-4.52729 + 1.47101i) q^{48} +(3.39476 - 2.46644i) q^{49} +(2.35584 - 1.07179i) q^{50} +(2.30653 + 7.09878i) q^{51} +(6.98881 + 2.27080i) q^{52} +(-1.27672 + 1.75726i) q^{53} +2.26795 q^{54} +6.46410 q^{56} +(-4.76479 + 6.55817i) q^{57} +(-3.41078 - 1.10823i) q^{58} +(0.391818 + 1.20589i) q^{59} +(-7.23485 - 1.90727i) q^{60} +(-9.49143 + 6.89593i) q^{61} +(-4.29882 + 1.39677i) q^{62} +(-2.32960 - 0.756934i) q^{63} +(-1.83481 - 1.33307i) q^{64} +(6.00000 + 7.34847i) q^{65} +2.20925i q^{67} +(-3.93354 + 5.41405i) q^{68} +(2.08032 - 6.40256i) q^{69} +(3.25665 + 2.09624i) q^{70} +(6.63083 - 4.81758i) q^{71} +(-0.831254 - 1.14412i) q^{72} +(4.65921 - 1.51387i) q^{73} +(0.286831 - 0.882774i) q^{74} +(-6.52111 - 7.12576i) q^{75} -7.26795 q^{76} +4.24264i q^{78} +(-1.18448 - 0.860577i) q^{79} +(-1.99534 - 5.13591i) q^{80} +(-3.29420 - 10.1385i) q^{81} +(-0.526994 - 0.725345i) q^{82} +(5.81878 + 8.00886i) q^{83} +(-3.45980 - 10.6482i) q^{84} +(-8.05309 + 3.12869i) q^{85} +(2.70191 + 1.96305i) q^{86} +13.3843i q^{87} -0.464102 q^{89} +(-0.0477646 - 0.845982i) q^{90} +(-4.38685 + 13.5013i) q^{91} +(5.74038 - 1.86516i) q^{92} +(9.91537 + 13.6473i) q^{93} +(-4.79602 + 3.48451i) q^{94} +(-7.88973 - 5.07844i) q^{95} +(3.06798 - 9.44228i) q^{96} +(-5.37331 + 7.39573i) q^{97} +2.17209i q^{98} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 4 q^{6} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 4 q^{6} - 4 q^{9} + 16 q^{10} - 4 q^{15} + 4 q^{16} - 4 q^{19} - 12 q^{20} - 48 q^{21} - 8 q^{24} - 4 q^{25} + 12 q^{26} + 28 q^{31} - 32 q^{34} - 12 q^{35} + 12 q^{36} + 12 q^{39} + 4 q^{40} - 48 q^{45} + 28 q^{46} - 4 q^{49} + 24 q^{50} - 16 q^{51} + 64 q^{54} + 48 q^{56} - 12 q^{59} - 12 q^{60} - 40 q^{61} - 16 q^{64} + 96 q^{65} - 20 q^{69} - 12 q^{70} + 12 q^{71} + 24 q^{74} - 24 q^{75} - 144 q^{76} + 8 q^{79} - 24 q^{80} + 8 q^{81} + 24 q^{84} + 8 q^{85} + 48 q^{86} + 48 q^{89} - 16 q^{90} + 36 q^{91} + 4 q^{94} + 36 q^{95} - 12 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.304260 + 0.418778i −0.215144 + 0.296121i −0.902925 0.429797i \(-0.858585\pi\)
0.687781 + 0.725918i \(0.258585\pi\)
\(3\) 1.83730 + 0.596975i 1.06077 + 0.344664i 0.786885 0.617100i \(-0.211693\pi\)
0.273881 + 0.961764i \(0.411693\pi\)
\(4\) 0.535233 + 1.64728i 0.267617 + 0.823639i
\(5\) −0.570005 + 2.16220i −0.254914 + 0.966964i
\(6\) −0.809017 + 0.587785i −0.330280 + 0.239962i
\(7\) −3.18230 + 1.03399i −1.20280 + 0.390812i −0.840789 0.541364i \(-0.817908\pi\)
−0.362007 + 0.932175i \(0.617908\pi\)
\(8\) −1.83730 0.596975i −0.649584 0.211063i
\(9\) 0.592242 + 0.430289i 0.197414 + 0.143430i
\(10\) −0.732051 0.896575i −0.231495 0.283522i
\(11\) 0 0
\(12\) 3.34607i 0.965926i
\(13\) 2.49376 3.43237i 0.691645 0.951968i −0.308355 0.951271i \(-0.599778\pi\)
1.00000 0.000696272i \(-0.000221630\pi\)
\(14\) 0.535233 1.64728i 0.143047 0.440254i
\(15\) −2.33805 + 3.63233i −0.603681 + 0.937862i
\(16\) −1.99350 + 1.44836i −0.498375 + 0.362091i
\(17\) 2.27103 + 3.12580i 0.550805 + 0.758118i 0.990121 0.140214i \(-0.0447792\pi\)
−0.439316 + 0.898333i \(0.644779\pi\)
\(18\) −0.360391 + 0.117098i −0.0849449 + 0.0276003i
\(19\) −1.29668 + 3.99078i −0.297479 + 0.915547i 0.684898 + 0.728639i \(0.259847\pi\)
−0.982377 + 0.186908i \(0.940153\pi\)
\(20\) −3.86682 + 0.218323i −0.864648 + 0.0488185i
\(21\) −6.46410 −1.41058
\(22\) 0 0
\(23\) 3.48477i 0.726624i −0.931668 0.363312i \(-0.881646\pi\)
0.931668 0.363312i \(-0.118354\pi\)
\(24\) −3.01929 2.19364i −0.616311 0.447776i
\(25\) −4.35019 2.46492i −0.870038 0.492985i
\(26\) 0.678648 + 2.08867i 0.133094 + 0.409621i
\(27\) −2.57529 3.54458i −0.495614 0.682155i
\(28\) −3.40654 4.68870i −0.643776 0.886081i
\(29\) 2.14093 + 6.58911i 0.397561 + 1.22357i 0.926949 + 0.375188i \(0.122422\pi\)
−0.529388 + 0.848380i \(0.677578\pi\)
\(30\) −0.809764 2.08429i −0.147842 0.380538i
\(31\) 7.06438 + 5.13257i 1.26880 + 0.921837i 0.999154 0.0411227i \(-0.0130935\pi\)
0.269646 + 0.962960i \(0.413093\pi\)
\(32\) 5.13922i 0.908494i
\(33\) 0 0
\(34\) −2.00000 −0.342997
\(35\) −0.421768 7.47013i −0.0712918 1.26268i
\(36\) −0.391818 + 1.20589i −0.0653030 + 0.200982i
\(37\) −1.70539 + 0.554114i −0.280364 + 0.0910958i −0.445824 0.895121i \(-0.647089\pi\)
0.165460 + 0.986217i \(0.447089\pi\)
\(38\) −1.27672 1.75726i −0.207112 0.285065i
\(39\) 6.63083 4.81758i 1.06178 0.771430i
\(40\) 2.33805 3.63233i 0.369678 0.574321i
\(41\) −0.535233 + 1.64728i −0.0835894 + 0.257262i −0.984112 0.177547i \(-0.943184\pi\)
0.900523 + 0.434808i \(0.143184\pi\)
\(42\) 1.96677 2.70702i 0.303479 0.417703i
\(43\) 6.45189i 0.983905i −0.870622 0.491952i \(-0.836283\pi\)
0.870622 0.491952i \(-0.163717\pi\)
\(44\) 0 0
\(45\) −1.26795 + 1.03528i −0.189015 + 0.154330i
\(46\) 1.45934 + 1.06028i 0.215168 + 0.156329i
\(47\) 10.8919 + 3.53899i 1.58875 + 0.516215i 0.964291 0.264846i \(-0.0853213\pi\)
0.624455 + 0.781061i \(0.285321\pi\)
\(48\) −4.52729 + 1.47101i −0.653459 + 0.212322i
\(49\) 3.39476 2.46644i 0.484966 0.352348i
\(50\) 2.35584 1.07179i 0.333167 0.151573i
\(51\) 2.30653 + 7.09878i 0.322979 + 0.994028i
\(52\) 6.98881 + 2.27080i 0.969174 + 0.314904i
\(53\) −1.27672 + 1.75726i −0.175371 + 0.241378i −0.887650 0.460519i \(-0.847663\pi\)
0.712279 + 0.701897i \(0.247663\pi\)
\(54\) 2.26795 0.308629
\(55\) 0 0
\(56\) 6.46410 0.863802
\(57\) −4.76479 + 6.55817i −0.631112 + 0.868651i
\(58\) −3.41078 1.10823i −0.447857 0.145517i
\(59\) 0.391818 + 1.20589i 0.0510103 + 0.156994i 0.973317 0.229466i \(-0.0736979\pi\)
−0.922306 + 0.386459i \(0.873698\pi\)
\(60\) −7.23485 1.90727i −0.934015 0.246228i
\(61\) −9.49143 + 6.89593i −1.21525 + 0.882933i −0.995697 0.0926671i \(-0.970461\pi\)
−0.219556 + 0.975600i \(0.570461\pi\)
\(62\) −4.29882 + 1.39677i −0.545950 + 0.177390i
\(63\) −2.32960 0.756934i −0.293502 0.0953647i
\(64\) −1.83481 1.33307i −0.229351 0.166633i
\(65\) 6.00000 + 7.34847i 0.744208 + 0.911465i
\(66\) 0 0
\(67\) 2.20925i 0.269903i 0.990852 + 0.134952i \(0.0430879\pi\)
−0.990852 + 0.134952i \(0.956912\pi\)
\(68\) −3.93354 + 5.41405i −0.477011 + 0.656550i
\(69\) 2.08032 6.40256i 0.250441 0.770778i
\(70\) 3.25665 + 2.09624i 0.389245 + 0.250548i
\(71\) 6.63083 4.81758i 0.786934 0.571741i −0.120118 0.992760i \(-0.538327\pi\)
0.907052 + 0.421018i \(0.138327\pi\)
\(72\) −0.831254 1.14412i −0.0979642 0.134836i
\(73\) 4.65921 1.51387i 0.545319 0.177185i −0.0233860 0.999727i \(-0.507445\pi\)
0.568705 + 0.822542i \(0.307445\pi\)
\(74\) 0.286831 0.882774i 0.0333434 0.102620i
\(75\) −6.52111 7.12576i −0.752992 0.822812i
\(76\) −7.26795 −0.833691
\(77\) 0 0
\(78\) 4.24264i 0.480384i
\(79\) −1.18448 0.860577i −0.133265 0.0968225i 0.519156 0.854680i \(-0.326246\pi\)
−0.652421 + 0.757857i \(0.726246\pi\)
\(80\) −1.99534 5.13591i −0.223086 0.574213i
\(81\) −3.29420 10.1385i −0.366022 1.12650i
\(82\) −0.526994 0.725345i −0.0581967 0.0801009i
\(83\) 5.81878 + 8.00886i 0.638694 + 0.879087i 0.998545 0.0539231i \(-0.0171726\pi\)
−0.359851 + 0.933010i \(0.617173\pi\)
\(84\) −3.45980 10.6482i −0.377495 1.16181i
\(85\) −8.05309 + 3.12869i −0.873481 + 0.339354i
\(86\) 2.70191 + 1.96305i 0.291355 + 0.211681i
\(87\) 13.3843i 1.43494i
\(88\) 0 0
\(89\) −0.464102 −0.0491947 −0.0245973 0.999697i \(-0.507830\pi\)
−0.0245973 + 0.999697i \(0.507830\pi\)
\(90\) −0.0477646 0.845982i −0.00503483 0.0891744i
\(91\) −4.38685 + 13.5013i −0.459867 + 1.41533i
\(92\) 5.74038 1.86516i 0.598476 0.194457i
\(93\) 9.91537 + 13.6473i 1.02818 + 1.41516i
\(94\) −4.79602 + 3.48451i −0.494671 + 0.359400i
\(95\) −7.88973 5.07844i −0.809469 0.521037i
\(96\) 3.06798 9.44228i 0.313125 0.963699i
\(97\) −5.37331 + 7.39573i −0.545577 + 0.750922i −0.989404 0.145190i \(-0.953621\pi\)
0.443827 + 0.896113i \(0.353621\pi\)
\(98\) 2.17209i 0.219414i
\(99\) 0 0
\(100\) 1.73205 8.48528i 0.173205 0.848528i
\(101\) 15.6887 + 11.3985i 1.56108 + 1.13419i 0.935114 + 0.354348i \(0.115297\pi\)
0.625971 + 0.779847i \(0.284703\pi\)
\(102\) −3.67460 1.19395i −0.363840 0.118219i
\(103\) 4.03499 1.31105i 0.397579 0.129181i −0.103401 0.994640i \(-0.532973\pi\)
0.500981 + 0.865458i \(0.332973\pi\)
\(104\) −6.63083 + 4.81758i −0.650206 + 0.472402i
\(105\) 3.68457 13.9767i 0.359577 1.36398i
\(106\) −0.347445 1.06933i −0.0337468 0.103862i
\(107\) −2.82191 0.916893i −0.272804 0.0886394i 0.169420 0.985544i \(-0.445810\pi\)
−0.442224 + 0.896905i \(0.645810\pi\)
\(108\) 4.46053 6.13939i 0.429215 0.590763i
\(109\) 9.19615 0.880832 0.440416 0.897794i \(-0.354831\pi\)
0.440416 + 0.897794i \(0.354831\pi\)
\(110\) 0 0
\(111\) −3.46410 −0.328798
\(112\) 4.84632 6.67038i 0.457934 0.630292i
\(113\) −2.68999 0.874032i −0.253053 0.0822220i 0.179743 0.983714i \(-0.442473\pi\)
−0.432797 + 0.901492i \(0.642473\pi\)
\(114\) −1.29668 3.99078i −0.121445 0.373771i
\(115\) 7.53475 + 1.98633i 0.702619 + 0.185226i
\(116\) −9.70820 + 7.05342i −0.901384 + 0.654894i
\(117\) 2.95382 0.959754i 0.273081 0.0887293i
\(118\) −0.624215 0.202820i −0.0574637 0.0186711i
\(119\) −10.4591 7.59901i −0.958787 0.696600i
\(120\) 6.46410 5.27792i 0.590089 0.481806i
\(121\) 0 0
\(122\) 6.07296i 0.549820i
\(123\) −1.96677 + 2.70702i −0.177337 + 0.244084i
\(124\) −4.67368 + 14.3841i −0.419709 + 1.29173i
\(125\) 7.80928 8.00095i 0.698483 0.715626i
\(126\) 1.02579 0.745282i 0.0913849 0.0663950i
\(127\) −0.526994 0.725345i −0.0467631 0.0643639i 0.784995 0.619502i \(-0.212665\pi\)
−0.831758 + 0.555138i \(0.812665\pi\)
\(128\) 10.8919 3.53899i 0.962716 0.312805i
\(129\) 3.85162 11.8541i 0.339116 1.04369i
\(130\) −4.90294 + 0.276823i −0.430016 + 0.0242789i
\(131\) 3.12436 0.272976 0.136488 0.990642i \(-0.456418\pi\)
0.136488 + 0.990642i \(0.456418\pi\)
\(132\) 0 0
\(133\) 14.0406i 1.21747i
\(134\) −0.925187 0.672187i −0.0799239 0.0580681i
\(135\) 9.13200 3.54785i 0.785958 0.305350i
\(136\) −2.30653 7.09878i −0.197784 0.608716i
\(137\) 5.21026 + 7.17130i 0.445142 + 0.612686i 0.971345 0.237673i \(-0.0763847\pi\)
−0.526203 + 0.850359i \(0.676385\pi\)
\(138\) 2.04829 + 2.81923i 0.174362 + 0.239989i
\(139\) −4.50808 13.8744i −0.382370 1.17682i −0.938370 0.345633i \(-0.887664\pi\)
0.555999 0.831183i \(-0.312336\pi\)
\(140\) 12.0796 4.69303i 1.02092 0.396634i
\(141\) 17.8990 + 13.0044i 1.50737 + 1.09517i
\(142\) 4.24264i 0.356034i
\(143\) 0 0
\(144\) −1.80385 −0.150321
\(145\) −15.4673 + 0.873292i −1.28449 + 0.0725230i
\(146\) −0.783636 + 2.41178i −0.0648542 + 0.199601i
\(147\) 7.70959 2.50500i 0.635876 0.206609i
\(148\) −1.82556 2.51267i −0.150060 0.206540i
\(149\) 8.30695 6.03535i 0.680531 0.494435i −0.193002 0.981198i \(-0.561823\pi\)
0.873534 + 0.486763i \(0.161823\pi\)
\(150\) 4.96822 0.562811i 0.405654 0.0459534i
\(151\) −1.29668 + 3.99078i −0.105523 + 0.324765i −0.989853 0.142097i \(-0.954616\pi\)
0.884330 + 0.466862i \(0.154616\pi\)
\(152\) 4.76479 6.55817i 0.386475 0.531938i
\(153\) 2.82843i 0.228665i
\(154\) 0 0
\(155\) −15.1244 + 12.3490i −1.21482 + 0.991894i
\(156\) 11.4849 + 8.34429i 0.919530 + 0.668078i
\(157\) −20.7992 6.75806i −1.65995 0.539352i −0.679092 0.734053i \(-0.737626\pi\)
−0.980863 + 0.194701i \(0.937626\pi\)
\(158\) 0.720782 0.234196i 0.0573423 0.0186316i
\(159\) −3.39476 + 2.46644i −0.269222 + 0.195601i
\(160\) 11.1120 + 2.92938i 0.878480 + 0.231588i
\(161\) 3.60322 + 11.0896i 0.283973 + 0.873980i
\(162\) 5.24808 + 1.70520i 0.412328 + 0.133973i
\(163\) 3.02076 4.15771i 0.236604 0.325657i −0.674160 0.738586i \(-0.735494\pi\)
0.910763 + 0.412928i \(0.135494\pi\)
\(164\) −3.00000 −0.234261
\(165\) 0 0
\(166\) −5.12436 −0.397727
\(167\) −0.304260 + 0.418778i −0.0235443 + 0.0324060i −0.820627 0.571464i \(-0.806376\pi\)
0.797083 + 0.603870i \(0.206376\pi\)
\(168\) 11.8765 + 3.85891i 0.916291 + 0.297721i
\(169\) −1.54508 4.75528i −0.118853 0.365791i
\(170\) 1.14001 4.32439i 0.0874347 0.331666i
\(171\) −2.48514 + 1.80556i −0.190043 + 0.138074i
\(172\) 10.6281 3.45327i 0.810382 0.263309i
\(173\) 20.7026 + 6.72668i 1.57399 + 0.511420i 0.960499 0.278282i \(-0.0897649\pi\)
0.613490 + 0.789702i \(0.289765\pi\)
\(174\) −5.60503 4.07230i −0.424917 0.308720i
\(175\) 16.3923 + 3.34607i 1.23914 + 0.252939i
\(176\) 0 0
\(177\) 2.44949i 0.184115i
\(178\) 0.141208 0.194356i 0.0105840 0.0145676i
\(179\) 4.77867 14.7072i 0.357175 1.09927i −0.597563 0.801822i \(-0.703864\pi\)
0.954738 0.297449i \(-0.0961357\pi\)
\(180\) −2.38404 1.53455i −0.177696 0.114379i
\(181\) 14.0707 10.2229i 1.04586 0.759865i 0.0744429 0.997225i \(-0.476282\pi\)
0.971422 + 0.237360i \(0.0762821\pi\)
\(182\) −4.31932 5.94504i −0.320169 0.440675i
\(183\) −21.5553 + 7.00374i −1.59341 + 0.517731i
\(184\) −2.08032 + 6.40256i −0.153363 + 0.472003i
\(185\) −0.226025 4.00323i −0.0166177 0.294323i
\(186\) −8.73205 −0.640265
\(187\) 0 0
\(188\) 19.8362i 1.44670i
\(189\) 11.8604 + 8.61708i 0.862717 + 0.626800i
\(190\) 4.52727 1.75888i 0.328443 0.127602i
\(191\) −2.24592 6.91223i −0.162509 0.500151i 0.836335 0.548219i \(-0.184694\pi\)
−0.998844 + 0.0480672i \(0.984694\pi\)
\(192\) −2.57529 3.54458i −0.185855 0.255808i
\(193\) −8.92106 12.2788i −0.642152 0.883846i 0.356576 0.934266i \(-0.383944\pi\)
−0.998728 + 0.0504200i \(0.983944\pi\)
\(194\) −1.46228 4.50045i −0.104986 0.323113i
\(195\) 6.63695 + 17.0832i 0.475282 + 1.22335i
\(196\) 5.87989 + 4.27199i 0.419992 + 0.305142i
\(197\) 17.2480i 1.22887i −0.788969 0.614433i \(-0.789385\pi\)
0.788969 0.614433i \(-0.210615\pi\)
\(198\) 0 0
\(199\) 2.00000 0.141776 0.0708881 0.997484i \(-0.477417\pi\)
0.0708881 + 0.997484i \(0.477417\pi\)
\(200\) 6.52111 + 7.12576i 0.461112 + 0.503867i
\(201\) −1.31887 + 4.05906i −0.0930258 + 0.286304i
\(202\) −9.54689 + 3.10197i −0.671717 + 0.218254i
\(203\) −13.6262 18.7548i −0.956369 1.31633i
\(204\) −10.4591 + 7.59901i −0.732286 + 0.532037i
\(205\) −3.25665 2.09624i −0.227455 0.146407i
\(206\) −0.678648 + 2.08867i −0.0472837 + 0.145524i
\(207\) 1.49946 2.06382i 0.104219 0.143446i
\(208\) 10.4543i 0.724875i
\(209\) 0 0
\(210\) 4.73205 + 5.79555i 0.326543 + 0.399931i
\(211\) −10.6178 7.71430i −0.730961 0.531074i 0.158906 0.987294i \(-0.449203\pi\)
−0.889867 + 0.456219i \(0.849203\pi\)
\(212\) −3.57803 1.16257i −0.245740 0.0798459i
\(213\) 15.0588 4.89290i 1.03181 0.335256i
\(214\) 1.24257 0.902778i 0.0849402 0.0617127i
\(215\) 13.9503 + 3.67761i 0.951400 + 0.250811i
\(216\) 2.61555 + 8.04984i 0.177966 + 0.547722i
\(217\) −27.7880 9.02886i −1.88637 0.612919i
\(218\) −2.79802 + 3.85115i −0.189506 + 0.260833i
\(219\) 9.46410 0.639525
\(220\) 0 0
\(221\) 16.3923 1.10267
\(222\) 1.05399 1.45069i 0.0707390 0.0973639i
\(223\) −1.47691 0.479877i −0.0989012 0.0321349i 0.259148 0.965838i \(-0.416558\pi\)
−0.358050 + 0.933703i \(0.616558\pi\)
\(224\) 5.31390 + 16.3545i 0.355050 + 1.09273i
\(225\) −1.51573 3.33167i −0.101049 0.222111i
\(226\) 1.18448 0.860577i 0.0787906 0.0572448i
\(227\) 19.1291 6.21543i 1.26964 0.412533i 0.404723 0.914439i \(-0.367368\pi\)
0.864922 + 0.501907i \(0.167368\pi\)
\(228\) −13.3534 4.33878i −0.884351 0.287343i
\(229\) −3.29415 2.39334i −0.217684 0.158156i 0.473600 0.880740i \(-0.342954\pi\)
−0.691283 + 0.722584i \(0.742954\pi\)
\(230\) −3.12436 + 2.55103i −0.206014 + 0.168210i
\(231\) 0 0
\(232\) 13.3843i 0.878720i
\(233\) 0.994306 1.36855i 0.0651392 0.0896564i −0.775204 0.631710i \(-0.782353\pi\)
0.840344 + 0.542054i \(0.182353\pi\)
\(234\) −0.496805 + 1.52901i −0.0324772 + 0.0999544i
\(235\) −13.8604 + 21.5332i −0.904154 + 1.40467i
\(236\) −1.77672 + 1.29087i −0.115655 + 0.0840282i
\(237\) −1.66251 2.28825i −0.107991 0.148638i
\(238\) 6.36459 2.06798i 0.412555 0.134047i
\(239\) 1.74911 5.38322i 0.113141 0.348212i −0.878414 0.477901i \(-0.841398\pi\)
0.991555 + 0.129689i \(0.0413979\pi\)
\(240\) −0.600028 10.6274i −0.0387316 0.685995i
\(241\) −14.1244 −0.909830 −0.454915 0.890535i \(-0.650330\pi\)
−0.454915 + 0.890535i \(0.650330\pi\)
\(242\) 0 0
\(243\) 7.45001i 0.477918i
\(244\) −16.4396 11.9441i −1.05244 0.764642i
\(245\) 3.39789 + 8.74602i 0.217083 + 0.558762i
\(246\) −0.535233 1.64728i −0.0341252 0.105027i
\(247\) 10.4642 + 14.4027i 0.665821 + 0.916424i
\(248\) −9.91537 13.6473i −0.629626 0.866606i
\(249\) 5.90975 + 18.1883i 0.374515 + 1.15264i
\(250\) 0.974569 + 5.70472i 0.0616371 + 0.360798i
\(251\) 3.07738 + 2.23585i 0.194242 + 0.141125i 0.680656 0.732604i \(-0.261695\pi\)
−0.486413 + 0.873729i \(0.661695\pi\)
\(252\) 4.24264i 0.267261i
\(253\) 0 0
\(254\) 0.464102 0.0291203
\(255\) −16.6637 + 0.940842i −1.04352 + 0.0589178i
\(256\) −0.430246 + 1.32416i −0.0268904 + 0.0827600i
\(257\) −14.0742 + 4.57298i −0.877924 + 0.285255i −0.713095 0.701068i \(-0.752707\pi\)
−0.164829 + 0.986322i \(0.552707\pi\)
\(258\) 3.79233 + 5.21969i 0.236100 + 0.324964i
\(259\) 4.85410 3.52671i 0.301619 0.219139i
\(260\) −8.89357 + 13.8168i −0.551556 + 0.856882i
\(261\) −1.56727 + 4.82357i −0.0970117 + 0.298571i
\(262\) −0.950617 + 1.30841i −0.0587293 + 0.0808339i
\(263\) 6.79367i 0.418915i −0.977818 0.209458i \(-0.932830\pi\)
0.977818 0.209458i \(-0.0671699\pi\)
\(264\) 0 0
\(265\) −3.07180 3.76217i −0.188699 0.231108i
\(266\) 5.87989 + 4.27199i 0.360519 + 0.261933i
\(267\) −0.852694 0.277057i −0.0521840 0.0169556i
\(268\) −3.63925 + 1.18247i −0.222303 + 0.0722306i
\(269\) −13.1610 + 9.56206i −0.802443 + 0.583009i −0.911630 0.411012i \(-0.865175\pi\)
0.109187 + 0.994021i \(0.465175\pi\)
\(270\) −1.29274 + 4.90375i −0.0786737 + 0.298433i
\(271\) −3.54260 10.9030i −0.215198 0.662311i −0.999139 0.0414762i \(-0.986794\pi\)
0.783942 0.620834i \(-0.213206\pi\)
\(272\) −9.05459 2.94201i −0.549015 0.178386i
\(273\) −16.1199 + 22.1872i −0.975622 + 1.34283i
\(274\) −4.58846 −0.277199
\(275\) 0 0
\(276\) 11.6603 0.701865
\(277\) 18.3313 25.2308i 1.10142 1.51597i 0.267930 0.963438i \(-0.413660\pi\)
0.833489 0.552536i \(-0.186340\pi\)
\(278\) 7.18194 + 2.33355i 0.430744 + 0.139957i
\(279\) 1.97533 + 6.07944i 0.118260 + 0.363967i
\(280\) −3.68457 + 13.9767i −0.220195 + 0.835265i
\(281\) −14.0126 + 10.1807i −0.835921 + 0.607332i −0.921228 0.389023i \(-0.872813\pi\)
0.0853074 + 0.996355i \(0.472813\pi\)
\(282\) −10.8919 + 3.53899i −0.648603 + 0.210744i
\(283\) −7.67425 2.49351i −0.456187 0.148224i 0.0719049 0.997411i \(-0.477092\pi\)
−0.528091 + 0.849187i \(0.677092\pi\)
\(284\) 11.4849 + 8.34429i 0.681505 + 0.495142i
\(285\) −11.4641 14.0406i −0.679075 0.831693i
\(286\) 0 0
\(287\) 5.79555i 0.342101i
\(288\) 2.21135 3.04366i 0.130305 0.179349i
\(289\) 0.640220 1.97040i 0.0376600 0.115906i
\(290\) 4.34037 6.74307i 0.254875 0.395967i
\(291\) −14.2874 + 10.3804i −0.837545 + 0.608512i
\(292\) 4.98752 + 6.86474i 0.291873 + 0.401728i
\(293\) −14.3380 + 4.65870i −0.837635 + 0.272164i −0.696258 0.717792i \(-0.745153\pi\)
−0.141377 + 0.989956i \(0.545153\pi\)
\(294\) −1.29668 + 3.99078i −0.0756241 + 0.232747i
\(295\) −2.83071 + 0.159824i −0.164810 + 0.00930529i
\(296\) 3.46410 0.201347
\(297\) 0 0
\(298\) 5.31508i 0.307894i
\(299\) −11.9610 8.69018i −0.691723 0.502566i
\(300\) 8.24780 14.5560i 0.476187 0.840392i
\(301\) 6.67120 + 20.5318i 0.384522 + 1.18344i
\(302\) −1.27672 1.75726i −0.0734671 0.101119i
\(303\) 22.0202 + 30.3082i 1.26503 + 1.74116i
\(304\) −3.19516 9.83368i −0.183255 0.564000i
\(305\) −9.50019 24.4530i −0.543979 1.40018i
\(306\) −1.18448 0.860577i −0.0677124 0.0491959i
\(307\) 7.82894i 0.446821i 0.974724 + 0.223411i \(0.0717191\pi\)
−0.974724 + 0.223411i \(0.928281\pi\)
\(308\) 0 0
\(309\) 8.19615 0.466263
\(310\) −0.569746 10.0911i −0.0323594 0.573133i
\(311\) 3.10641 9.56055i 0.176148 0.542129i −0.823536 0.567265i \(-0.808002\pi\)
0.999684 + 0.0251354i \(0.00800169\pi\)
\(312\) −15.0588 + 4.89290i −0.852536 + 0.277006i
\(313\) −10.0784 13.8718i −0.569666 0.784078i 0.422849 0.906200i \(-0.361030\pi\)
−0.992515 + 0.122122i \(0.961030\pi\)
\(314\) 9.15848 6.65403i 0.516843 0.375509i
\(315\) 2.96452 4.60560i 0.167032 0.259496i
\(316\) 0.783636 2.41178i 0.0440830 0.135673i
\(317\) −7.42160 + 10.2150i −0.416839 + 0.573729i −0.964870 0.262729i \(-0.915378\pi\)
0.548031 + 0.836458i \(0.315378\pi\)
\(318\) 2.17209i 0.121805i
\(319\) 0 0
\(320\) 3.92820 3.20736i 0.219593 0.179297i
\(321\) −4.63733 3.36921i −0.258830 0.188051i
\(322\) −5.74038 1.86516i −0.319899 0.103941i
\(323\) −15.4192 + 5.01000i −0.857946 + 0.278764i
\(324\) 14.9378 10.8529i 0.829876 0.602940i
\(325\) −19.3089 + 8.78452i −1.07106 + 0.487277i
\(326\) 0.822064 + 2.53005i 0.0455299 + 0.140127i
\(327\) 16.8961 + 5.48987i 0.934356 + 0.303591i
\(328\) 1.96677 2.70702i 0.108597 0.149470i
\(329\) −38.3205 −2.11268
\(330\) 0 0
\(331\) −18.1962 −1.00015 −0.500075 0.865982i \(-0.666694\pi\)
−0.500075 + 0.865982i \(0.666694\pi\)
\(332\) −10.0784 + 13.8718i −0.553125 + 0.761311i
\(333\) −1.24843 0.405640i −0.0684136 0.0222289i
\(334\) −0.0828009 0.254835i −0.00453066 0.0139439i
\(335\) −4.77684 1.25928i −0.260987 0.0688021i
\(336\) 12.8862 9.36236i 0.702999 0.510759i
\(337\) −16.7642 + 5.44701i −0.913203 + 0.296718i −0.727676 0.685921i \(-0.759399\pi\)
−0.185527 + 0.982639i \(0.559399\pi\)
\(338\) 2.46152 + 0.799795i 0.133889 + 0.0435031i
\(339\) −4.42055 3.21172i −0.240091 0.174437i
\(340\) −9.46410 11.5911i −0.513263 0.628616i
\(341\) 0 0
\(342\) 1.59008i 0.0859816i
\(343\) 5.51452 7.59008i 0.297756 0.409826i
\(344\) −3.85162 + 11.8541i −0.207665 + 0.639128i
\(345\) 12.6578 + 8.14755i 0.681473 + 0.438649i
\(346\) −9.11596 + 6.62313i −0.490077 + 0.356062i
\(347\) −2.57529 3.54458i −0.138249 0.190283i 0.734279 0.678848i \(-0.237521\pi\)
−0.872527 + 0.488565i \(0.837521\pi\)
\(348\) −22.0476 + 7.16370i −1.18188 + 0.384015i
\(349\) −2.26216 + 6.96222i −0.121091 + 0.372679i −0.993169 0.116688i \(-0.962772\pi\)
0.872078 + 0.489367i \(0.162772\pi\)
\(350\) −6.38878 + 5.84666i −0.341495 + 0.312517i
\(351\) −18.5885 −0.992178
\(352\) 0 0
\(353\) 13.0053i 0.692204i 0.938197 + 0.346102i \(0.112495\pi\)
−0.938197 + 0.346102i \(0.887505\pi\)
\(354\) −1.02579 0.745282i −0.0545203 0.0396113i
\(355\) 6.63695 + 17.0832i 0.352253 + 0.906682i
\(356\) −0.248403 0.764504i −0.0131653 0.0405187i
\(357\) −14.6802 20.2055i −0.776956 1.06939i
\(358\) 4.70511 + 6.47603i 0.248673 + 0.342269i
\(359\) 11.0196 + 33.9149i 0.581594 + 1.78996i 0.612540 + 0.790440i \(0.290148\pi\)
−0.0309462 + 0.999521i \(0.509852\pi\)
\(360\) 2.94764 1.14518i 0.155354 0.0603562i
\(361\) 1.12640 + 0.818376i 0.0592841 + 0.0430724i
\(362\) 9.00292i 0.473183i
\(363\) 0 0
\(364\) −24.5885 −1.28879
\(365\) 0.617511 + 10.9370i 0.0323220 + 0.572470i
\(366\) 3.62540 11.1578i 0.189503 0.583230i
\(367\) 16.0787 5.22430i 0.839304 0.272706i 0.142345 0.989817i \(-0.454536\pi\)
0.696959 + 0.717111i \(0.254536\pi\)
\(368\) 5.04720 + 6.94688i 0.263104 + 0.362131i
\(369\) −1.02579 + 0.745282i −0.0534006 + 0.0387978i
\(370\) 1.74524 + 1.12337i 0.0907305 + 0.0584012i
\(371\) 2.24592 6.91223i 0.116602 0.358865i
\(372\) −17.1739 + 23.6379i −0.890426 + 1.22557i
\(373\) 0.175865i 0.00910597i 0.999990 + 0.00455298i \(0.00144926\pi\)
−0.999990 + 0.00455298i \(0.998551\pi\)
\(374\) 0 0
\(375\) 19.1244 10.0382i 0.987577 0.518370i
\(376\) −17.8990 13.0044i −0.923069 0.670649i
\(377\) 27.9552 + 9.08321i 1.43977 + 0.467809i
\(378\) −7.21729 + 2.34504i −0.371217 + 0.120616i
\(379\) 1.18448 0.860577i 0.0608428 0.0442049i −0.556948 0.830547i \(-0.688028\pi\)
0.617791 + 0.786342i \(0.288028\pi\)
\(380\) 4.14276 15.7147i 0.212519 0.806149i
\(381\) −0.535233 1.64728i −0.0274208 0.0843926i
\(382\) 3.57803 + 1.16257i 0.183068 + 0.0594824i
\(383\) 22.6069 31.1157i 1.15516 1.58994i 0.427475 0.904027i \(-0.359403\pi\)
0.727684 0.685913i \(-0.240597\pi\)
\(384\) 22.1244 1.12903
\(385\) 0 0
\(386\) 7.85641 0.399881
\(387\) 2.77618 3.82108i 0.141121 0.194236i
\(388\) −15.0588 4.89290i −0.764494 0.248399i
\(389\) −1.89253 5.82461i −0.0959551 0.295319i 0.891546 0.452929i \(-0.149621\pi\)
−0.987501 + 0.157610i \(0.949621\pi\)
\(390\) −9.17342 2.41832i −0.464514 0.122457i
\(391\) 10.8927 7.91400i 0.550867 0.400228i
\(392\) −7.70959 + 2.50500i −0.389393 + 0.126522i
\(393\) 5.74038 + 1.86516i 0.289564 + 0.0940850i
\(394\) 7.22307 + 5.24787i 0.363893 + 0.264384i
\(395\) 2.53590 2.07055i 0.127595 0.104181i
\(396\) 0 0
\(397\) 32.9802i 1.65523i 0.561298 + 0.827614i \(0.310302\pi\)
−0.561298 + 0.827614i \(0.689698\pi\)
\(398\) −0.608520 + 0.837556i −0.0305024 + 0.0419829i
\(399\) 8.38189 25.7968i 0.419619 1.29146i
\(400\) 12.2422 1.38682i 0.612110 0.0693412i
\(401\) −1.87733 + 1.36396i −0.0937494 + 0.0681129i −0.633673 0.773601i \(-0.718453\pi\)
0.539923 + 0.841714i \(0.318453\pi\)
\(402\) −1.29857 1.78732i −0.0647666 0.0891436i
\(403\) 35.2337 11.4481i 1.75512 0.570272i
\(404\) −10.3794 + 31.9445i −0.516395 + 1.58930i
\(405\) 23.7991 1.34371i 1.18259 0.0667696i
\(406\) 12.0000 0.595550
\(407\) 0 0
\(408\) 14.4195i 0.713873i
\(409\) 21.1350 + 15.3555i 1.04506 + 0.759281i 0.971267 0.237992i \(-0.0764893\pi\)
0.0737938 + 0.997274i \(0.476489\pi\)
\(410\) 1.86873 0.726014i 0.0922899 0.0358553i
\(411\) 5.29172 + 16.2862i 0.261021 + 0.803340i
\(412\) 4.31932 + 5.94504i 0.212798 + 0.292891i
\(413\) −2.49376 3.43237i −0.122710 0.168896i
\(414\) 0.408059 + 1.25588i 0.0200550 + 0.0617230i
\(415\) −20.6335 + 8.01625i −1.01286 + 0.393502i
\(416\) −17.6397 12.8160i −0.864857 0.628355i
\(417\) 28.1827i 1.38011i
\(418\) 0 0
\(419\) 12.3397 0.602836 0.301418 0.953492i \(-0.402540\pi\)
0.301418 + 0.953492i \(0.402540\pi\)
\(420\) 24.9955 1.41126i 1.21966 0.0688626i
\(421\) −5.26953 + 16.2179i −0.256821 + 0.790414i 0.736644 + 0.676281i \(0.236409\pi\)
−0.993465 + 0.114134i \(0.963591\pi\)
\(422\) 6.46116 2.09936i 0.314524 0.102195i
\(423\) 4.92784 + 6.78259i 0.239600 + 0.329781i
\(424\) 3.39476 2.46644i 0.164864 0.119781i
\(425\) −2.17454 19.1957i −0.105481 0.931130i
\(426\) −2.53275 + 7.79500i −0.122712 + 0.377669i
\(427\) 23.0742 31.7589i 1.11664 1.53692i
\(428\) 5.13922i 0.248413i
\(429\) 0 0
\(430\) −5.78461 + 4.72311i −0.278959 + 0.227769i
\(431\) −4.10317 2.98113i −0.197643 0.143596i 0.484562 0.874757i \(-0.338979\pi\)
−0.682205 + 0.731161i \(0.738979\pi\)
\(432\) 10.2677 + 3.33617i 0.494004 + 0.160512i
\(433\) −27.3310 + 8.88039i −1.31345 + 0.426764i −0.880239 0.474531i \(-0.842618\pi\)
−0.433206 + 0.901295i \(0.642618\pi\)
\(434\) 12.2359 8.88987i 0.587340 0.426728i
\(435\) −28.9394 7.62909i −1.38754 0.365787i
\(436\) 4.92209 + 15.1486i 0.235725 + 0.725487i
\(437\) 13.9069 + 4.51863i 0.665259 + 0.216156i
\(438\) −2.87955 + 3.96336i −0.137590 + 0.189377i
\(439\) 28.2487 1.34824 0.674119 0.738623i \(-0.264524\pi\)
0.674119 + 0.738623i \(0.264524\pi\)
\(440\) 0 0
\(441\) 3.07180 0.146276
\(442\) −4.98752 + 6.86474i −0.237232 + 0.326522i
\(443\) −26.2145 8.51761i −1.24549 0.404684i −0.389187 0.921159i \(-0.627244\pi\)
−0.856302 + 0.516475i \(0.827244\pi\)
\(444\) −1.85410 5.70634i −0.0879918 0.270811i
\(445\) 0.264540 1.00348i 0.0125404 0.0475695i
\(446\) 0.650326 0.472490i 0.0307938 0.0223730i
\(447\) 18.8653 6.12971i 0.892298 0.289925i
\(448\) 7.21729 + 2.34504i 0.340985 + 0.110793i
\(449\) 27.9246 + 20.2884i 1.31784 + 0.957468i 0.999956 + 0.00933886i \(0.00297270\pi\)
0.317885 + 0.948129i \(0.397027\pi\)
\(450\) 1.85641 + 0.378937i 0.0875118 + 0.0178633i
\(451\) 0 0
\(452\) 4.89898i 0.230429i
\(453\) −4.76479 + 6.55817i −0.223869 + 0.308130i
\(454\) −3.21734 + 9.90197i −0.150997 + 0.464722i
\(455\) −26.6920 17.1811i −1.25134 0.805461i
\(456\) 12.6694 9.20487i 0.593300 0.431057i
\(457\) −12.4688 17.1618i −0.583266 0.802797i 0.410782 0.911733i \(-0.365256\pi\)
−0.994049 + 0.108936i \(0.965256\pi\)
\(458\) 2.00456 0.651320i 0.0936668 0.0304342i
\(459\) 5.23110 16.0997i 0.244167 0.751469i
\(460\) 0.760805 + 13.4750i 0.0354727 + 0.628274i
\(461\) 33.0000 1.53696 0.768482 0.639872i \(-0.221013\pi\)
0.768482 + 0.639872i \(0.221013\pi\)
\(462\) 0 0
\(463\) 20.3166i 0.944194i 0.881547 + 0.472097i \(0.156503\pi\)
−0.881547 + 0.472097i \(0.843497\pi\)
\(464\) −13.8114 10.0346i −0.641177 0.465842i
\(465\) −35.1600 + 13.6599i −1.63051 + 0.633464i
\(466\) 0.270589 + 0.832787i 0.0125348 + 0.0385781i
\(467\) 0.363941 + 0.500922i 0.0168412 + 0.0231799i 0.817355 0.576135i \(-0.195440\pi\)
−0.800513 + 0.599315i \(0.795440\pi\)
\(468\) 3.16196 + 4.35207i 0.146162 + 0.201174i
\(469\) −2.28435 7.03050i −0.105481 0.324638i
\(470\) −4.80044 12.3561i −0.221428 0.569945i
\(471\) −34.1799 24.8332i −1.57493 1.14425i
\(472\) 2.44949i 0.112747i
\(473\) 0 0
\(474\) 1.46410 0.0672484
\(475\) 15.4778 14.1644i 0.710169 0.649908i
\(476\) 6.91960 21.2963i 0.317159 0.976116i
\(477\) −1.51226 + 0.491361i −0.0692414 + 0.0224979i
\(478\) 1.72219 + 2.37039i 0.0787711 + 0.108419i
\(479\) −2.05158 + 1.49056i −0.0937393 + 0.0681056i −0.633668 0.773605i \(-0.718451\pi\)
0.539928 + 0.841711i \(0.318451\pi\)
\(480\) 18.6673 + 12.0157i 0.852042 + 0.548440i
\(481\) −2.35091 + 7.23535i −0.107192 + 0.329903i
\(482\) 4.29748 5.91497i 0.195745 0.269419i
\(483\) 22.5259i 1.02496i
\(484\) 0 0
\(485\) −12.9282 15.8338i −0.587039 0.718974i
\(486\) 3.11990 + 2.26674i 0.141521 + 0.102821i
\(487\) 12.1050 + 3.93314i 0.548529 + 0.178228i 0.570153 0.821538i \(-0.306884\pi\)
−0.0216245 + 0.999766i \(0.506884\pi\)
\(488\) 21.5553 7.00374i 0.975762 0.317044i
\(489\) 8.03209 5.83565i 0.363223 0.263897i
\(490\) −4.69648 1.23810i −0.212165 0.0559317i
\(491\) −12.2719 37.7691i −0.553825 1.70450i −0.699027 0.715095i \(-0.746383\pi\)
0.145203 0.989402i \(-0.453617\pi\)
\(492\) −5.51190 1.79092i −0.248496 0.0807411i
\(493\) −15.7341 + 21.6562i −0.708630 + 0.975346i
\(494\) −9.21539 −0.414620
\(495\) 0 0
\(496\) −21.5167 −0.966127
\(497\) −16.1199 + 22.1872i −0.723078 + 0.995231i
\(498\) −9.41498 3.05911i −0.421895 0.137082i
\(499\) −5.44108 16.7459i −0.243576 0.749650i −0.995867 0.0908194i \(-0.971051\pi\)
0.752291 0.658831i \(-0.228949\pi\)
\(500\) 17.3596 + 8.58168i 0.776344 + 0.383785i
\(501\) −0.809017 + 0.587785i −0.0361442 + 0.0262603i
\(502\) −1.87265 + 0.608460i −0.0835803 + 0.0271569i
\(503\) −7.02416 2.28229i −0.313192 0.101762i 0.148204 0.988957i \(-0.452651\pi\)
−0.461395 + 0.887195i \(0.652651\pi\)
\(504\) 3.82831 + 2.78143i 0.170526 + 0.123895i
\(505\) −33.5885 + 27.4249i −1.49467 + 1.22039i
\(506\) 0 0
\(507\) 9.65926i 0.428983i
\(508\) 0.912780 1.25633i 0.0404981 0.0557408i
\(509\) 2.49432 7.67673i 0.110559 0.340265i −0.880436 0.474165i \(-0.842750\pi\)
0.990995 + 0.133900i \(0.0427500\pi\)
\(510\) 4.67609 7.26465i 0.207061 0.321684i
\(511\) −13.2617 + 9.63516i −0.586661 + 0.426234i
\(512\) 13.0395 + 17.9473i 0.576270 + 0.793167i
\(513\) 17.4850 5.68121i 0.771980 0.250831i
\(514\) 2.36715 7.28533i 0.104410 0.321342i
\(515\) 0.534780 + 9.47175i 0.0235652 + 0.417375i
\(516\) 21.5885 0.950379
\(517\) 0 0
\(518\) 3.10583i 0.136462i
\(519\) 34.0212 + 24.7179i 1.49337 + 1.08499i
\(520\) −6.63695 17.0832i −0.291049 0.749148i
\(521\) −2.85801 8.79605i −0.125212 0.385362i 0.868728 0.495290i \(-0.164938\pi\)
−0.993940 + 0.109928i \(0.964938\pi\)
\(522\) −1.54315 2.12396i −0.0675416 0.0929631i
\(523\) −15.0659 20.7365i −0.658788 0.906743i 0.340653 0.940189i \(-0.389352\pi\)
−0.999441 + 0.0334458i \(0.989352\pi\)
\(524\) 1.67226 + 5.14668i 0.0730530 + 0.224834i
\(525\) 28.1201 + 15.9335i 1.22726 + 0.695396i
\(526\) 2.84504 + 2.06704i 0.124050 + 0.0901273i
\(527\) 33.7381i 1.46965i
\(528\) 0 0
\(529\) 10.8564 0.472018
\(530\) 2.51014 0.141724i 0.109033 0.00615609i
\(531\) −0.286831 + 0.882774i −0.0124474 + 0.0383091i
\(532\) 23.1288 7.51499i 1.00276 0.325816i
\(533\) 4.31932 + 5.94504i 0.187091 + 0.257508i
\(534\) 0.375466 0.272792i 0.0162480 0.0118049i
\(535\) 3.59100 5.57888i 0.155253 0.241196i
\(536\) 1.31887 4.05906i 0.0569665 0.175325i
\(537\) 17.5597 24.1689i 0.757757 1.04296i
\(538\) 8.42091i 0.363051i
\(539\) 0 0
\(540\) 10.7321 + 13.1440i 0.461834 + 0.565629i
\(541\) −2.10967 1.53276i −0.0907018 0.0658987i 0.541510 0.840694i \(-0.317853\pi\)
−0.632212 + 0.774796i \(0.717853\pi\)
\(542\) 5.64381 + 1.83379i 0.242423 + 0.0787678i
\(543\) 31.9549 10.3828i 1.37132 0.445567i
\(544\) 16.0642 11.6713i 0.688746 0.500403i
\(545\) −5.24185 + 19.8839i −0.224536 + 0.851732i
\(546\) −4.38685 13.5013i −0.187740 0.577804i
\(547\) 27.3310 + 8.88039i 1.16859 + 0.379698i 0.828116 0.560556i \(-0.189413\pi\)
0.340474 + 0.940254i \(0.389413\pi\)
\(548\) −9.02443 + 12.4211i −0.385505 + 0.530601i
\(549\) −8.58846 −0.366546
\(550\) 0 0
\(551\) −29.0718 −1.23850
\(552\) −7.64434 + 10.5215i −0.325365 + 0.447826i
\(553\) 4.65921 + 1.51387i 0.198130 + 0.0643762i
\(554\) 4.98864 + 15.3535i 0.211947 + 0.652306i
\(555\) 1.97455 7.49007i 0.0838152 0.317936i
\(556\) 20.4422 14.8521i 0.866942 0.629871i
\(557\) −35.7614 + 11.6196i −1.51526 + 0.492337i −0.944425 0.328728i \(-0.893380\pi\)
−0.570834 + 0.821065i \(0.693380\pi\)
\(558\) −3.14695 1.02251i −0.133221 0.0432862i
\(559\) −22.1453 16.0895i −0.936645 0.680513i
\(560\) 11.6603 + 14.2808i 0.492736 + 0.603475i
\(561\) 0 0
\(562\) 8.96575i 0.378198i
\(563\) 9.38837 12.9220i 0.395673 0.544597i −0.563979 0.825789i \(-0.690730\pi\)
0.959651 + 0.281193i \(0.0907300\pi\)
\(564\) −11.8417 + 36.4450i −0.498625 + 1.53461i
\(565\) 3.42314 5.31809i 0.144013 0.223734i
\(566\) 3.37919 2.45513i 0.142038 0.103197i
\(567\) 20.9662 + 28.8576i 0.880499 + 1.21190i
\(568\) −15.0588 + 4.89290i −0.631853 + 0.205301i
\(569\) 9.30894 28.6500i 0.390251 1.20107i −0.542348 0.840154i \(-0.682464\pi\)
0.932599 0.360915i \(-0.117536\pi\)
\(570\) 9.36796 0.528920i 0.392381 0.0221540i
\(571\) 19.7128 0.824956 0.412478 0.910968i \(-0.364663\pi\)
0.412478 + 0.910968i \(0.364663\pi\)
\(572\) 0 0
\(573\) 14.0406i 0.586554i
\(574\) 2.42705 + 1.76336i 0.101303 + 0.0736010i
\(575\) −8.58968 + 15.1594i −0.358215 + 0.632190i
\(576\) −0.513047 1.57900i −0.0213769 0.0657915i
\(577\) 2.21135 + 3.04366i 0.0920596 + 0.126709i 0.852562 0.522626i \(-0.175047\pi\)
−0.760503 + 0.649335i \(0.775047\pi\)
\(578\) 0.630365 + 0.867623i 0.0262197 + 0.0360884i
\(579\) −9.06054 27.8855i −0.376543 1.15888i
\(580\) −9.71717 25.0115i −0.403483 1.03855i
\(581\) −26.7982 19.4700i −1.11178 0.807752i
\(582\) 9.14162i 0.378932i
\(583\) 0 0
\(584\) −9.46410 −0.391627
\(585\) 0.391486 + 6.93380i 0.0161860 + 0.286677i
\(586\) 2.41152 7.42190i 0.0996190 0.306596i
\(587\) 19.3930 6.30115i 0.800433 0.260076i 0.119892 0.992787i \(-0.461745\pi\)
0.680540 + 0.732711i \(0.261745\pi\)
\(588\) 8.25286 + 11.3591i 0.340342 + 0.468441i
\(589\) −29.6432 + 21.5370i −1.22143 + 0.887419i
\(590\) 0.794342 1.23407i 0.0327025 0.0508058i
\(591\) 10.2966 31.6897i 0.423546 1.30354i
\(592\) 2.59713 3.57465i 0.106741 0.146917i
\(593\) 0.859411i 0.0352918i 0.999844 + 0.0176459i \(0.00561715\pi\)
−0.999844 + 0.0176459i \(0.994383\pi\)
\(594\) 0 0
\(595\) 22.3923 18.2832i 0.917995 0.749540i
\(596\) 14.3881 + 10.4535i 0.589358 + 0.428193i
\(597\) 3.67460 + 1.19395i 0.150391 + 0.0488651i
\(598\) 7.27851 2.36493i 0.297640 0.0967092i
\(599\) −31.1025 + 22.5973i −1.27082 + 0.923302i −0.999235 0.0391140i \(-0.987546\pi\)
−0.271581 + 0.962416i \(0.587546\pi\)
\(600\) 7.72733 + 16.9851i 0.315467 + 0.693414i
\(601\) −6.18034 19.0211i −0.252101 0.775888i −0.994387 0.105804i \(-0.966258\pi\)
0.742286 0.670084i \(-0.233742\pi\)
\(602\) −10.6281 3.45327i −0.433168 0.140745i
\(603\) −0.950617 + 1.30841i −0.0387121 + 0.0532826i
\(604\) −7.26795 −0.295729
\(605\) 0 0
\(606\) −19.3923 −0.787759
\(607\) −21.3899 + 29.4406i −0.868188 + 1.19496i 0.111367 + 0.993779i \(0.464477\pi\)
−0.979555 + 0.201179i \(0.935523\pi\)
\(608\) 20.5095 + 6.66393i 0.831769 + 0.270258i
\(609\) −13.8392 42.5927i −0.560793 1.72594i
\(610\) 13.1309 + 3.46161i 0.531656 + 0.140157i
\(611\) 39.3089 28.5596i 1.59027 1.15540i
\(612\) −4.65921 + 1.51387i −0.188337 + 0.0611945i
\(613\) 1.70539 + 0.554114i 0.0688800 + 0.0223805i 0.343254 0.939243i \(-0.388471\pi\)
−0.274374 + 0.961623i \(0.588471\pi\)
\(614\) −3.27859 2.38203i −0.132313 0.0961311i
\(615\) −4.73205 5.79555i −0.190815 0.233699i
\(616\) 0 0
\(617\) 13.0053i 0.523575i 0.965126 + 0.261787i \(0.0843119\pi\)
−0.965126 + 0.261787i \(0.915688\pi\)
\(618\) −2.49376 + 3.43237i −0.100314 + 0.138070i
\(619\) −3.95066 + 12.1589i −0.158790 + 0.488707i −0.998525 0.0542900i \(-0.982710\pi\)
0.839735 + 0.542997i \(0.182710\pi\)
\(620\) −28.4373 18.3044i −1.14207 0.735124i
\(621\) −12.3520 + 8.97428i −0.495670 + 0.360125i
\(622\) 3.05859 + 4.20979i 0.122638 + 0.168797i
\(623\) 1.47691 0.479877i 0.0591711 0.0192259i
\(624\) −6.24095 + 19.2077i −0.249838 + 0.768923i
\(625\) 12.8483 + 21.4458i 0.513932 + 0.857831i
\(626\) 8.87564 0.354742
\(627\) 0 0
\(628\) 37.8792i 1.51154i
\(629\) −5.60503 4.07230i −0.223487 0.162373i
\(630\) 1.02674 + 2.64278i 0.0409063 + 0.105291i
\(631\) −4.73430 14.5707i −0.188469 0.580049i 0.811521 0.584323i \(-0.198640\pi\)
−0.999991 + 0.00427343i \(0.998640\pi\)
\(632\) 1.66251 + 2.28825i 0.0661310 + 0.0910215i
\(633\) −14.9029 20.5121i −0.592337 0.815281i
\(634\) −2.01970 6.21601i −0.0802127 0.246869i
\(635\) 1.86873 0.726014i 0.0741582 0.0288110i
\(636\) −5.87989 4.27199i −0.233153 0.169396i
\(637\) 17.8028i 0.705371i
\(638\) 0 0
\(639\) 6.00000 0.237356
\(640\) 1.44356 + 25.5676i 0.0570619 + 1.01065i
\(641\) −2.42776 + 7.47189i −0.0958909 + 0.295122i −0.987485 0.157714i \(-0.949588\pi\)
0.891594 + 0.452836i \(0.149588\pi\)
\(642\) 2.82191 0.916893i 0.111372 0.0361869i
\(643\) −6.18272 8.50978i −0.243823 0.335593i 0.669513 0.742800i \(-0.266503\pi\)
−0.913336 + 0.407207i \(0.866503\pi\)
\(644\) −16.3390 + 11.8710i −0.643848 + 0.467783i
\(645\) 23.4354 + 15.0848i 0.922767 + 0.593965i
\(646\) 2.59336 7.98156i 0.102035 0.314030i
\(647\) −21.9606 + 30.2261i −0.863358 + 1.18831i 0.117400 + 0.993085i \(0.462544\pi\)
−0.980758 + 0.195226i \(0.937456\pi\)
\(648\) 20.5940i 0.809010i
\(649\) 0 0
\(650\) 2.19615 10.7589i 0.0861402 0.421999i
\(651\) −45.6649 33.1775i −1.78975 1.30033i
\(652\) 8.46572 + 2.75068i 0.331543 + 0.107725i
\(653\) 11.5514 3.75329i 0.452043 0.146878i −0.0741421 0.997248i \(-0.523622\pi\)
0.526185 + 0.850370i \(0.323622\pi\)
\(654\) −7.43984 + 5.40536i −0.290921 + 0.211366i
\(655\) −1.78090 + 6.75547i −0.0695854 + 0.263958i
\(656\) −1.31887 4.05906i −0.0514932 0.158480i
\(657\) 3.41078 + 1.10823i 0.133067 + 0.0432361i
\(658\) 11.6594 16.0478i 0.454531 0.625608i
\(659\) −23.3205 −0.908438 −0.454219 0.890890i \(-0.650082\pi\)
−0.454219 + 0.890890i \(0.650082\pi\)
\(660\) 0 0
\(661\) 29.5885 1.15086 0.575429 0.817852i \(-0.304835\pi\)
0.575429 + 0.817852i \(0.304835\pi\)
\(662\) 5.53636 7.62015i 0.215177 0.296165i
\(663\) 30.1176 + 9.78580i 1.16967 + 0.380049i
\(664\) −5.90975 18.1883i −0.229343 0.705845i
\(665\) 30.3585 + 8.00321i 1.17725 + 0.310351i
\(666\) 0.549721 0.399395i 0.0213012 0.0154763i
\(667\) 22.9615 7.46065i 0.889073 0.288877i
\(668\) −0.852694 0.277057i −0.0329917 0.0107197i
\(669\) −2.42705 1.76336i −0.0938352 0.0681753i
\(670\) 1.98076 1.61729i 0.0765235 0.0624812i
\(671\) 0 0
\(672\) 33.2204i 1.28151i
\(673\) −23.9870 + 33.0153i −0.924631 + 1.27265i 0.0372864 + 0.999305i \(0.488129\pi\)
−0.961917 + 0.273341i \(0.911871\pi\)
\(674\) 2.81958 8.67778i 0.108606 0.334256i
\(675\) 2.46587 + 21.7675i 0.0949113 + 0.837831i
\(676\) 7.00629 5.09037i 0.269473 0.195783i
\(677\) 11.9637 + 16.4666i 0.459801 + 0.632861i 0.974467 0.224529i \(-0.0720843\pi\)
−0.514667 + 0.857390i \(0.672084\pi\)
\(678\) 2.68999 0.874032i 0.103309 0.0335670i
\(679\) 9.45235 29.0914i 0.362748 1.11642i
\(680\) 16.6637 0.940842i 0.639024 0.0360796i
\(681\) 38.8564 1.48898
\(682\) 0 0
\(683\) 29.8372i 1.14169i −0.821058 0.570844i \(-0.806616\pi\)
0.821058 0.570844i \(-0.193384\pi\)
\(684\) −4.30438 3.12732i −0.164582 0.119576i
\(685\) −18.4756 + 7.17792i −0.705918 + 0.274254i
\(686\) 1.50071 + 4.61872i 0.0572975 + 0.176343i
\(687\) −4.62358 6.36381i −0.176401 0.242795i
\(688\) 9.34468 + 12.8619i 0.356263 + 0.490353i
\(689\) 2.84771 + 8.76436i 0.108489 + 0.333895i
\(690\) −7.26328 + 2.82184i −0.276508 + 0.107426i
\(691\) −30.6690 22.2823i −1.16670 0.847660i −0.176093 0.984374i \(-0.556346\pi\)
−0.990611 + 0.136714i \(0.956346\pi\)
\(692\) 37.7033i 1.43326i
\(693\) 0 0
\(694\) 2.26795 0.0860902
\(695\) 32.5689 1.83886i 1.23541 0.0697519i
\(696\) 7.99007 24.5909i 0.302863 0.932116i
\(697\) −6.36459 + 2.06798i −0.241076 + 0.0783304i
\(698\) −2.22734 3.06567i −0.0843060 0.116037i
\(699\) 2.64383 1.92085i 0.0999987 0.0726533i
\(700\) 3.26180 + 28.7936i 0.123285 + 1.08830i
\(701\) −11.6983 + 36.0036i −0.441838 + 1.35984i 0.444077 + 0.895989i \(0.353532\pi\)
−0.885915 + 0.463848i \(0.846468\pi\)
\(702\) 5.65572 7.78444i 0.213462 0.293805i
\(703\) 7.52433i 0.283786i
\(704\) 0 0
\(705\) −38.3205 + 31.2886i −1.44323 + 1.17840i
\(706\) −5.44634 3.95700i −0.204976 0.148924i
\(707\) −61.7121 20.0515i −2.32092 0.754113i
\(708\) −4.03499 + 1.31105i −0.151644 + 0.0492722i
\(709\) 2.10967 1.53276i 0.0792303 0.0575642i −0.547465 0.836829i \(-0.684407\pi\)
0.626695 + 0.779264i \(0.284407\pi\)
\(710\) −9.17342 2.41832i −0.344272 0.0907581i
\(711\) −0.331203 1.01934i −0.0124211 0.0382282i
\(712\) 0.852694 + 0.277057i 0.0319561 + 0.0103832i
\(713\) 17.8858 24.6177i 0.669829 0.921940i
\(714\) 12.9282 0.483826
\(715\) 0 0
\(716\) 26.7846 1.00099
\(717\) 6.42730 8.84642i 0.240032 0.330375i
\(718\) −17.5557 5.70418i −0.655171 0.212878i
\(719\) 15.5115 + 47.7394i 0.578480 + 1.78038i 0.624011 + 0.781415i \(0.285502\pi\)
−0.0455311 + 0.998963i \(0.514498\pi\)
\(720\) 1.02820 3.90027i 0.0383188 0.145355i
\(721\) −11.4849 + 8.34429i −0.427721 + 0.310758i
\(722\) −0.685436 + 0.222712i −0.0255093 + 0.00828847i
\(723\) −25.9507 8.43189i −0.965116 0.313585i
\(724\) 24.3711 + 17.7067i 0.905745 + 0.658063i
\(725\) 6.92820 33.9411i 0.257307 1.26054i
\(726\) 0 0
\(727\) 8.24504i 0.305792i −0.988242 0.152896i \(-0.951140\pi\)
0.988242 0.152896i \(-0.0488599\pi\)
\(728\) 16.1199 22.1872i 0.597444 0.822312i
\(729\) −5.43513 + 16.7276i −0.201301 + 0.619541i
\(730\) −4.76807 3.06910i −0.176474 0.113593i
\(731\) 20.1673 14.6524i 0.745916 0.541940i
\(732\) −23.0742 31.7589i −0.852848 1.17384i
\(733\) 8.86146 2.87926i 0.327305 0.106348i −0.140755 0.990044i \(-0.544953\pi\)
0.468060 + 0.883697i \(0.344953\pi\)
\(734\) −2.70430 + 8.32297i −0.0998174 + 0.307206i
\(735\) 1.02180 + 18.0975i 0.0376895 + 0.667537i
\(736\) −17.9090 −0.660133
\(737\) 0 0
\(738\) 0.656339i 0.0241602i
\(739\) 31.4936 + 22.8814i 1.15851 + 0.841707i 0.989589 0.143923i \(-0.0459717\pi\)
0.168921 + 0.985630i \(0.445972\pi\)
\(740\) 6.47346 2.51499i 0.237969 0.0924528i
\(741\) 10.6278 + 32.7090i 0.390422 + 1.20160i
\(742\) 2.21135 + 3.04366i 0.0811811 + 0.111736i
\(743\) −25.5083 35.1092i −0.935809 1.28803i −0.957550 0.288267i \(-0.906921\pi\)
0.0217414 0.999764i \(-0.493079\pi\)
\(744\) −10.0704 30.9935i −0.369198 1.13628i
\(745\) 8.31461 + 21.4014i 0.304624 + 0.784088i
\(746\) −0.0736486 0.0535088i −0.00269647 0.00195910i
\(747\) 7.24693i 0.265151i
\(748\) 0 0
\(749\) 9.92820 0.362769
\(750\) −1.61500 + 11.0631i −0.0589715 + 0.403967i
\(751\) 15.0309 46.2604i 0.548485 1.68806i −0.164070 0.986449i \(-0.552462\pi\)
0.712556 0.701616i \(-0.247538\pi\)
\(752\) −26.8387 + 8.72043i −0.978707 + 0.318001i
\(753\) 4.31932 + 5.94504i 0.157405 + 0.216649i
\(754\) −12.3095 + 8.94338i −0.448286 + 0.325699i
\(755\) −7.88973 5.07844i −0.287137 0.184824i
\(756\) −7.84665 + 24.1495i −0.285380 + 0.878309i
\(757\) −29.2569 + 40.2687i −1.06336 + 1.46359i −0.186741 + 0.982409i \(0.559793\pi\)
−0.876621 + 0.481182i \(0.840207\pi\)
\(758\) 0.757875i 0.0275273i
\(759\) 0 0
\(760\) 11.4641 + 14.0406i 0.415847 + 0.509306i
\(761\) −16.0642 11.6713i −0.582326 0.423084i 0.257236 0.966349i \(-0.417188\pi\)
−0.839562 + 0.543264i \(0.817188\pi\)
\(762\) 0.852694 + 0.277057i 0.0308898 + 0.0100367i
\(763\) −29.2649 + 9.50874i −1.05946 + 0.344239i
\(764\) 10.1843 7.39931i 0.368454 0.267698i
\(765\) −6.11562 1.61222i −0.221111 0.0582898i
\(766\) 6.15221 + 18.9346i 0.222288 + 0.684133i
\(767\) 5.11616 + 1.66234i 0.184734 + 0.0600237i
\(768\) −1.58098 + 2.17603i −0.0570488 + 0.0785209i
\(769\) −9.85641 −0.355431 −0.177716 0.984082i \(-0.556871\pi\)
−0.177716 + 0.984082i \(0.556871\pi\)
\(770\) 0 0
\(771\) −28.5885 −1.02959
\(772\) 15.4517 21.2675i 0.556120 0.765433i
\(773\) 11.4549 + 3.72192i 0.412004 + 0.133868i 0.507683 0.861544i \(-0.330502\pi\)
−0.0956791 + 0.995412i \(0.530502\pi\)
\(774\) 0.755504 + 2.32520i 0.0271560 + 0.0835777i
\(775\) −18.0800