Properties

Label 585.2.bt.b.571.11
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.11
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.64129 + 0.947602i) q^{2} +(-1.39724 + 1.02358i) q^{3} +(0.795899 - 1.37854i) q^{4} +(0.866025 + 0.500000i) q^{5} +(1.32334 - 3.00402i) q^{6} +(2.82539 - 1.63124i) q^{7} -0.773626i q^{8} +(0.904573 - 2.86038i) q^{9} +O(q^{10})\) \(q+(-1.64129 + 0.947602i) q^{2} +(-1.39724 + 1.02358i) q^{3} +(0.795899 - 1.37854i) q^{4} +(0.866025 + 0.500000i) q^{5} +(1.32334 - 3.00402i) q^{6} +(2.82539 - 1.63124i) q^{7} -0.773626i q^{8} +(0.904573 - 2.86038i) q^{9} -1.89520 q^{10} +(-0.866548 + 0.500301i) q^{11} +(0.298978 + 2.74082i) q^{12} +(-2.87709 + 2.17310i) q^{13} +(-3.09153 + 5.35469i) q^{14} +(-1.72184 + 0.187824i) q^{15} +(2.32489 + 4.02682i) q^{16} -7.42651 q^{17} +(1.22583 + 5.55189i) q^{18} -2.59185i q^{19} +(1.37854 - 0.795899i) q^{20} +(-2.27805 + 5.17125i) q^{21} +(0.948173 - 1.64228i) q^{22} +(-4.12263 + 7.14060i) q^{23} +(0.791867 + 1.08094i) q^{24} +(0.500000 + 0.866025i) q^{25} +(2.66292 - 6.29303i) q^{26} +(1.66391 + 4.92254i) q^{27} -5.19321i q^{28} +(-2.59582 - 4.49610i) q^{29} +(2.64806 - 1.93989i) q^{30} +(-4.82840 - 2.78768i) q^{31} +(-6.29169 - 3.63251i) q^{32} +(0.698679 - 1.58602i) q^{33} +(12.1891 - 7.03738i) q^{34} +3.26248 q^{35} +(-3.22319 - 3.52356i) q^{36} +3.25387i q^{37} +(2.45604 + 4.25399i) q^{38} +(1.79565 - 5.98127i) q^{39} +(0.386813 - 0.669980i) q^{40} +(3.27005 + 1.88797i) q^{41} +(-1.16133 - 10.6462i) q^{42} +(-4.95061 - 8.57471i) q^{43} +1.59276i q^{44} +(2.21357 - 2.02487i) q^{45} -15.6264i q^{46} +(-9.84967 + 5.68671i) q^{47} +(-7.37020 - 3.24674i) q^{48} +(1.82189 - 3.15560i) q^{49} +(-1.64129 - 0.947602i) q^{50} +(10.3766 - 7.60162i) q^{51} +(0.705827 + 5.69574i) q^{52} +2.76962 q^{53} +(-7.39558 - 6.50261i) q^{54} -1.00060 q^{55} +(-1.26197 - 2.18580i) q^{56} +(2.65296 + 3.62145i) q^{57} +(8.52102 + 4.91961i) q^{58} +(-5.16225 - 2.98043i) q^{59} +(-1.11149 + 2.52311i) q^{60} +(3.45357 + 5.98176i) q^{61} +10.5664 q^{62} +(-2.11019 - 9.55725i) q^{63} +4.46914 q^{64} +(-3.57818 + 0.443415i) q^{65} +(0.356179 + 3.26520i) q^{66} +(-3.37201 - 1.94683i) q^{67} +(-5.91075 + 10.2377i) q^{68} +(-1.54866 - 14.1970i) q^{69} +(-5.35469 + 3.09153i) q^{70} +12.8725i q^{71} +(-2.21286 - 0.699802i) q^{72} -4.10295i q^{73} +(-3.08337 - 5.34055i) q^{74} +(-1.58507 - 0.698258i) q^{75} +(-3.57297 - 2.06285i) q^{76} +(-1.63222 + 2.82709i) q^{77} +(2.72067 + 11.5186i) q^{78} +(1.42966 + 2.47624i) q^{79} +4.64978i q^{80} +(-7.36349 - 5.17484i) q^{81} -7.15616 q^{82} +(2.63423 - 1.52087i) q^{83} +(5.31566 + 7.25617i) q^{84} +(-6.43155 - 3.71326i) q^{85} +(16.2508 + 9.38242i) q^{86} +(8.22911 + 3.62511i) q^{87} +(0.387046 + 0.670384i) q^{88} -17.3066i q^{89} +(-1.71435 + 5.42099i) q^{90} +(-4.58405 + 10.8331i) q^{91} +(6.56239 + 11.3664i) q^{92} +(9.59986 - 1.04719i) q^{93} +(10.7775 - 18.6671i) q^{94} +(1.29593 - 2.24461i) q^{95} +(12.5092 - 1.36454i) q^{96} +(4.09056 - 2.36168i) q^{97} +6.90569i q^{98} +(0.647194 + 2.93121i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.64129 + 0.947602i −1.16057 + 0.670056i −0.951441 0.307832i \(-0.900396\pi\)
−0.209130 + 0.977888i \(0.567063\pi\)
\(3\) −1.39724 + 1.02358i −0.806698 + 0.590963i
\(4\) 0.795899 1.37854i 0.397949 0.689269i
\(5\) 0.866025 + 0.500000i 0.387298 + 0.223607i
\(6\) 1.32334 3.00402i 0.540252 1.22639i
\(7\) 2.82539 1.63124i 1.06790 0.616551i 0.140291 0.990110i \(-0.455196\pi\)
0.927606 + 0.373560i \(0.121863\pi\)
\(8\) 0.773626i 0.273518i
\(9\) 0.904573 2.86038i 0.301524 0.953458i
\(10\) −1.89520 −0.599316
\(11\) −0.866548 + 0.500301i −0.261274 + 0.150847i −0.624916 0.780692i \(-0.714867\pi\)
0.363642 + 0.931539i \(0.381533\pi\)
\(12\) 0.298978 + 2.74082i 0.0863074 + 0.791206i
\(13\) −2.87709 + 2.17310i −0.797961 + 0.602709i
\(14\) −3.09153 + 5.35469i −0.826247 + 1.43110i
\(15\) −1.72184 + 0.187824i −0.444576 + 0.0484959i
\(16\) 2.32489 + 4.02682i 0.581222 + 1.00671i
\(17\) −7.42651 −1.80119 −0.900597 0.434655i \(-0.856870\pi\)
−0.900597 + 0.434655i \(0.856870\pi\)
\(18\) 1.22583 + 5.55189i 0.288930 + 1.30859i
\(19\) 2.59185i 0.594612i −0.954782 0.297306i \(-0.903912\pi\)
0.954782 0.297306i \(-0.0960881\pi\)
\(20\) 1.37854 0.795899i 0.308250 0.177968i
\(21\) −2.27805 + 5.17125i −0.497112 + 1.12846i
\(22\) 0.948173 1.64228i 0.202151 0.350136i
\(23\) −4.12263 + 7.14060i −0.859628 + 1.48892i 0.0126568 + 0.999920i \(0.495971\pi\)
−0.872284 + 0.488999i \(0.837362\pi\)
\(24\) 0.791867 + 1.08094i 0.161639 + 0.220647i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 2.66292 6.29303i 0.522241 1.23417i
\(27\) 1.66391 + 4.92254i 0.320220 + 0.947343i
\(28\) 5.19321i 0.981424i
\(29\) −2.59582 4.49610i −0.482032 0.834904i 0.517755 0.855529i \(-0.326768\pi\)
−0.999787 + 0.0206245i \(0.993435\pi\)
\(30\) 2.64806 1.93989i 0.483467 0.354174i
\(31\) −4.82840 2.78768i −0.867207 0.500682i −0.000787699 1.00000i \(-0.500251\pi\)
−0.866419 + 0.499318i \(0.833584\pi\)
\(32\) −6.29169 3.63251i −1.11222 0.642143i
\(33\) 0.698679 1.58602i 0.121624 0.276091i
\(34\) 12.1891 7.03738i 2.09041 1.20690i
\(35\) 3.26248 0.551460
\(36\) −3.22319 3.52356i −0.537198 0.587260i
\(37\) 3.25387i 0.534932i 0.963567 + 0.267466i \(0.0861864\pi\)
−0.963567 + 0.267466i \(0.913814\pi\)
\(38\) 2.45604 + 4.25399i 0.398423 + 0.690089i
\(39\) 1.79565 5.98127i 0.287534 0.957770i
\(40\) 0.386813 0.669980i 0.0611605 0.105933i
\(41\) 3.27005 + 1.88797i 0.510696 + 0.294851i 0.733120 0.680099i \(-0.238063\pi\)
−0.222423 + 0.974950i \(0.571397\pi\)
\(42\) −1.16133 10.6462i −0.179197 1.64275i
\(43\) −4.95061 8.57471i −0.754961 1.30763i −0.945394 0.325931i \(-0.894322\pi\)
0.190432 0.981700i \(-0.439011\pi\)
\(44\) 1.59276i 0.240117i
\(45\) 2.21357 2.02487i 0.329980 0.301850i
\(46\) 15.6264i 2.30399i
\(47\) −9.84967 + 5.68671i −1.43672 + 0.829492i −0.997620 0.0689461i \(-0.978036\pi\)
−0.439101 + 0.898438i \(0.644703\pi\)
\(48\) −7.37020 3.24674i −1.06380 0.468627i
\(49\) 1.82189 3.15560i 0.260269 0.450800i
\(50\) −1.64129 0.947602i −0.232114 0.134011i
\(51\) 10.3766 7.60162i 1.45302 1.06444i
\(52\) 0.705827 + 5.69574i 0.0978806 + 0.789857i
\(53\) 2.76962 0.380436 0.190218 0.981742i \(-0.439080\pi\)
0.190218 + 0.981742i \(0.439080\pi\)
\(54\) −7.39558 6.50261i −1.00641 0.884894i
\(55\) −1.00060 −0.134921
\(56\) −1.26197 2.18580i −0.168638 0.292089i
\(57\) 2.65296 + 3.62145i 0.351394 + 0.479672i
\(58\) 8.52102 + 4.91961i 1.11887 + 0.645977i
\(59\) −5.16225 2.98043i −0.672068 0.388019i 0.124792 0.992183i \(-0.460174\pi\)
−0.796860 + 0.604164i \(0.793507\pi\)
\(60\) −1.11149 + 2.52311i −0.143492 + 0.325732i
\(61\) 3.45357 + 5.98176i 0.442185 + 0.765886i 0.997851 0.0655188i \(-0.0208702\pi\)
−0.555667 + 0.831405i \(0.687537\pi\)
\(62\) 10.5664 1.34194
\(63\) −2.11019 9.55725i −0.265858 1.20410i
\(64\) 4.46914 0.558643
\(65\) −3.57818 + 0.443415i −0.443819 + 0.0549989i
\(66\) 0.356179 + 3.26520i 0.0438426 + 0.401918i
\(67\) −3.37201 1.94683i −0.411956 0.237843i 0.279674 0.960095i \(-0.409774\pi\)
−0.691630 + 0.722252i \(0.743107\pi\)
\(68\) −5.91075 + 10.2377i −0.716784 + 1.24151i
\(69\) −1.54866 14.1970i −0.186436 1.70912i
\(70\) −5.35469 + 3.09153i −0.640008 + 0.369509i
\(71\) 12.8725i 1.52768i 0.645403 + 0.763842i \(0.276690\pi\)
−0.645403 + 0.763842i \(0.723310\pi\)
\(72\) −2.21286 0.699802i −0.260788 0.0824724i
\(73\) 4.10295i 0.480214i −0.970746 0.240107i \(-0.922817\pi\)
0.970746 0.240107i \(-0.0771825\pi\)
\(74\) −3.08337 5.34055i −0.358435 0.620827i
\(75\) −1.58507 0.698258i −0.183028 0.0806279i
\(76\) −3.57297 2.06285i −0.409847 0.236625i
\(77\) −1.63222 + 2.82709i −0.186009 + 0.322177i
\(78\) 2.72067 + 11.5186i 0.308055 + 1.30422i
\(79\) 1.42966 + 2.47624i 0.160849 + 0.278599i 0.935173 0.354190i \(-0.115243\pi\)
−0.774324 + 0.632789i \(0.781910\pi\)
\(80\) 4.64978i 0.519861i
\(81\) −7.36349 5.17484i −0.818166 0.574982i
\(82\) −7.15616 −0.790266
\(83\) 2.63423 1.52087i 0.289144 0.166937i −0.348412 0.937342i \(-0.613279\pi\)
0.637556 + 0.770404i \(0.279946\pi\)
\(84\) 5.31566 + 7.25617i 0.579986 + 0.791713i
\(85\) −6.43155 3.71326i −0.697599 0.402759i
\(86\) 16.2508 + 9.38242i 1.75237 + 1.01173i
\(87\) 8.22911 + 3.62511i 0.882253 + 0.388653i
\(88\) 0.387046 + 0.670384i 0.0412593 + 0.0714632i
\(89\) 17.3066i 1.83449i −0.398321 0.917246i \(-0.630407\pi\)
0.398321 0.917246i \(-0.369593\pi\)
\(90\) −1.71435 + 5.42099i −0.180708 + 0.571423i
\(91\) −4.58405 + 10.8331i −0.480539 + 1.13561i
\(92\) 6.56239 + 11.3664i 0.684177 + 1.18503i
\(93\) 9.59986 1.04719i 0.995459 0.108588i
\(94\) 10.7775 18.6671i 1.11161 1.92537i
\(95\) 1.29593 2.24461i 0.132959 0.230292i
\(96\) 12.5092 1.36454i 1.27671 0.139268i
\(97\) 4.09056 2.36168i 0.415333 0.239793i −0.277745 0.960655i \(-0.589587\pi\)
0.693079 + 0.720862i \(0.256254\pi\)
\(98\) 6.90569i 0.697580i
\(99\) 0.647194 + 2.93121i 0.0650455 + 0.294598i
\(100\) 1.59180 0.159180
\(101\) −4.91011 8.50455i −0.488574 0.846235i 0.511340 0.859379i \(-0.329149\pi\)
−0.999914 + 0.0131440i \(0.995816\pi\)
\(102\) −9.82781 + 22.3094i −0.973099 + 2.20896i
\(103\) −6.08635 + 10.5419i −0.599706 + 1.03872i 0.393158 + 0.919471i \(0.371383\pi\)
−0.992864 + 0.119251i \(0.961951\pi\)
\(104\) 1.68117 + 2.22579i 0.164852 + 0.218257i
\(105\) −4.55848 + 3.33940i −0.444862 + 0.325893i
\(106\) −4.54576 + 2.62449i −0.441523 + 0.254913i
\(107\) 9.28235 0.897359 0.448679 0.893693i \(-0.351895\pi\)
0.448679 + 0.893693i \(0.351895\pi\)
\(108\) 8.11021 + 1.62408i 0.780405 + 0.156277i
\(109\) 7.58819i 0.726817i −0.931630 0.363409i \(-0.881613\pi\)
0.931630 0.363409i \(-0.118387\pi\)
\(110\) 1.64228 0.948173i 0.156586 0.0904048i
\(111\) −3.33059 4.54644i −0.316126 0.431529i
\(112\) 13.1374 + 7.58490i 1.24137 + 0.716706i
\(113\) 4.79093 8.29813i 0.450693 0.780623i −0.547736 0.836651i \(-0.684510\pi\)
0.998429 + 0.0560282i \(0.0178437\pi\)
\(114\) −7.78599 3.42991i −0.729225 0.321240i
\(115\) −7.14060 + 4.12263i −0.665865 + 0.384437i
\(116\) −8.26405 −0.767298
\(117\) 3.61334 + 10.1953i 0.334054 + 0.942554i
\(118\) 11.2970 1.03998
\(119\) −20.9828 + 12.1144i −1.92349 + 1.11053i
\(120\) 0.145305 + 1.33206i 0.0132645 + 0.121600i
\(121\) −4.99940 + 8.65921i −0.454491 + 0.787201i
\(122\) −11.3367 6.54522i −1.02637 0.592577i
\(123\) −6.50154 + 0.709210i −0.586224 + 0.0639473i
\(124\) −7.68584 + 4.43742i −0.690209 + 0.398492i
\(125\) 1.00000i 0.0894427i
\(126\) 12.5199 + 13.6867i 1.11536 + 1.21930i
\(127\) 1.74824 0.155131 0.0775655 0.996987i \(-0.475285\pi\)
0.0775655 + 0.996987i \(0.475285\pi\)
\(128\) 5.24820 3.03005i 0.463880 0.267821i
\(129\) 15.6941 + 6.91361i 1.38179 + 0.608710i
\(130\) 5.45267 4.11847i 0.478231 0.361213i
\(131\) −5.40681 + 9.36487i −0.472395 + 0.818212i −0.999501 0.0315873i \(-0.989944\pi\)
0.527106 + 0.849800i \(0.323277\pi\)
\(132\) −1.63031 2.22547i −0.141901 0.193702i
\(133\) −4.22793 7.32299i −0.366608 0.634984i
\(134\) 7.37928 0.637473
\(135\) −1.02028 + 5.09500i −0.0878118 + 0.438508i
\(136\) 5.74534i 0.492659i
\(137\) −14.1845 + 8.18941i −1.21186 + 0.699669i −0.963165 0.268913i \(-0.913336\pi\)
−0.248697 + 0.968581i \(0.580002\pi\)
\(138\) 15.9949 + 21.8339i 1.36158 + 1.85863i
\(139\) −8.00021 + 13.8568i −0.678569 + 1.17532i 0.296843 + 0.954926i \(0.404066\pi\)
−0.975412 + 0.220390i \(0.929267\pi\)
\(140\) 2.59660 4.49745i 0.219453 0.380104i
\(141\) 7.94158 18.0276i 0.668802 1.51820i
\(142\) −12.1980 21.1276i −1.02363 1.77299i
\(143\) 1.40593 3.32251i 0.117570 0.277842i
\(144\) 13.6213 3.00749i 1.13510 0.250624i
\(145\) 5.19165i 0.431143i
\(146\) 3.88796 + 6.73415i 0.321770 + 0.557322i
\(147\) 0.684387 + 6.27398i 0.0564473 + 0.517469i
\(148\) 4.48558 + 2.58975i 0.368712 + 0.212876i
\(149\) 11.8586 + 6.84657i 0.971494 + 0.560893i 0.899692 0.436526i \(-0.143791\pi\)
0.0718029 + 0.997419i \(0.477125\pi\)
\(150\) 3.26323 0.355965i 0.266442 0.0290644i
\(151\) −8.03167 + 4.63708i −0.653608 + 0.377361i −0.789837 0.613317i \(-0.789835\pi\)
0.136229 + 0.990677i \(0.456502\pi\)
\(152\) −2.00512 −0.162637
\(153\) −6.71783 + 21.2426i −0.543104 + 1.71736i
\(154\) 6.18679i 0.498546i
\(155\) −2.78768 4.82840i −0.223912 0.387827i
\(156\) −6.81625 7.23586i −0.545737 0.579333i
\(157\) −1.19067 + 2.06230i −0.0950256 + 0.164589i −0.909619 0.415443i \(-0.863627\pi\)
0.814594 + 0.580032i \(0.196960\pi\)
\(158\) −4.69298 2.70949i −0.373354 0.215556i
\(159\) −3.86983 + 2.83492i −0.306897 + 0.224824i
\(160\) −3.63251 6.29169i −0.287175 0.497402i
\(161\) 26.9000i 2.12002i
\(162\) 16.9894 + 1.51577i 1.33481 + 0.119090i
\(163\) 15.3867i 1.20518i −0.798051 0.602590i \(-0.794136\pi\)
0.798051 0.602590i \(-0.205864\pi\)
\(164\) 5.20526 3.00526i 0.406463 0.234671i
\(165\) 1.39809 1.02420i 0.108841 0.0797335i
\(166\) −2.88236 + 4.99240i −0.223715 + 0.387485i
\(167\) −4.63227 2.67444i −0.358456 0.206955i 0.309947 0.950754i \(-0.399689\pi\)
−0.668403 + 0.743799i \(0.733022\pi\)
\(168\) 4.00061 + 1.76236i 0.308654 + 0.135969i
\(169\) 3.55528 12.5044i 0.273483 0.961877i
\(170\) 14.0748 1.07948
\(171\) −7.41367 2.34452i −0.566938 0.179290i
\(172\) −15.7607 −1.20175
\(173\) −8.37328 14.5030i −0.636609 1.10264i −0.986172 0.165726i \(-0.947003\pi\)
0.349563 0.936913i \(-0.386330\pi\)
\(174\) −16.9415 + 1.84804i −1.28434 + 0.140100i
\(175\) 2.82539 + 1.63124i 0.213579 + 0.123310i
\(176\) −4.02925 2.32629i −0.303716 0.175351i
\(177\) 10.2636 1.11959i 0.771461 0.0841536i
\(178\) 16.3997 + 28.4052i 1.22921 + 2.12906i
\(179\) 15.9753 1.19405 0.597025 0.802223i \(-0.296349\pi\)
0.597025 + 0.802223i \(0.296349\pi\)
\(180\) −1.02958 4.66308i −0.0767405 0.347566i
\(181\) 1.76031 0.130843 0.0654214 0.997858i \(-0.479161\pi\)
0.0654214 + 0.997858i \(0.479161\pi\)
\(182\) −2.74166 22.1241i −0.203226 1.63995i
\(183\) −10.9483 4.82297i −0.809320 0.356524i
\(184\) 5.52416 + 3.18937i 0.407246 + 0.235124i
\(185\) −1.62693 + 2.81793i −0.119615 + 0.207178i
\(186\) −14.7639 + 10.8156i −1.08254 + 0.793037i
\(187\) 6.43543 3.71550i 0.470605 0.271704i
\(188\) 18.1042i 1.32038i
\(189\) 12.7310 + 11.1939i 0.926047 + 0.814233i
\(190\) 4.91209i 0.356360i
\(191\) 6.38591 + 11.0607i 0.462068 + 0.800325i 0.999064 0.0432595i \(-0.0137742\pi\)
−0.536996 + 0.843585i \(0.680441\pi\)
\(192\) −6.24448 + 4.57452i −0.450656 + 0.330138i
\(193\) 17.7511 + 10.2486i 1.27776 + 0.737712i 0.976435 0.215811i \(-0.0692395\pi\)
0.301320 + 0.953523i \(0.402573\pi\)
\(194\) −4.47587 + 7.75244i −0.321349 + 0.556593i
\(195\) 4.54572 4.28211i 0.325526 0.306648i
\(196\) −2.90007 5.02308i −0.207148 0.358791i
\(197\) 25.9810i 1.85107i −0.378667 0.925533i \(-0.623617\pi\)
0.378667 0.925533i \(-0.376383\pi\)
\(198\) −3.83986 4.19770i −0.272887 0.298317i
\(199\) −16.0787 −1.13979 −0.569894 0.821718i \(-0.693016\pi\)
−0.569894 + 0.821718i \(0.693016\pi\)
\(200\) 0.669980 0.386813i 0.0473747 0.0273518i
\(201\) 6.70425 0.731322i 0.472881 0.0515835i
\(202\) 16.1179 + 9.30565i 1.13405 + 0.654743i
\(203\) −14.6684 8.46882i −1.02952 0.594395i
\(204\) −2.22036 20.3547i −0.155456 1.42511i
\(205\) 1.88797 + 3.27005i 0.131861 + 0.228390i
\(206\) 23.0698i 1.60735i
\(207\) 16.6956 + 18.2515i 1.16042 + 1.26856i
\(208\) −15.4396 6.53332i −1.07054 0.453004i
\(209\) 1.29671 + 2.24596i 0.0896951 + 0.155357i
\(210\) 4.31738 9.80057i 0.297927 0.676303i
\(211\) −3.26160 + 5.64926i −0.224538 + 0.388911i −0.956181 0.292777i \(-0.905421\pi\)
0.731643 + 0.681688i \(0.238754\pi\)
\(212\) 2.20434 3.81802i 0.151394 0.262223i
\(213\) −13.1760 17.9860i −0.902806 1.23238i
\(214\) −15.2351 + 8.79597i −1.04145 + 0.601280i
\(215\) 9.90122i 0.675258i
\(216\) 3.80821 1.28724i 0.259116 0.0875859i
\(217\) −18.1895 −1.23478
\(218\) 7.19059 + 12.4545i 0.487008 + 0.843523i
\(219\) 4.19969 + 5.73282i 0.283789 + 0.387388i
\(220\) −0.796379 + 1.37937i −0.0536919 + 0.0929970i
\(221\) 21.3667 16.1386i 1.43728 1.08560i
\(222\) 9.77469 + 4.30598i 0.656035 + 0.288998i
\(223\) −21.7284 + 12.5449i −1.45504 + 0.840068i −0.998761 0.0497685i \(-0.984152\pi\)
−0.456280 + 0.889836i \(0.650818\pi\)
\(224\) −23.7020 −1.58366
\(225\) 2.92944 0.646804i 0.195296 0.0431203i
\(226\) 18.1596i 1.20796i
\(227\) 20.3625 11.7563i 1.35151 0.780292i 0.363045 0.931772i \(-0.381737\pi\)
0.988460 + 0.151480i \(0.0484039\pi\)
\(228\) 7.10379 0.774906i 0.470460 0.0513194i
\(229\) −7.07705 4.08594i −0.467665 0.270006i 0.247597 0.968863i \(-0.420359\pi\)
−0.715262 + 0.698857i \(0.753692\pi\)
\(230\) 7.81322 13.5329i 0.515189 0.892333i
\(231\) −0.613141 5.62084i −0.0403417 0.369824i
\(232\) −3.47830 + 2.00820i −0.228362 + 0.131845i
\(233\) 5.64894 0.370074 0.185037 0.982732i \(-0.440759\pi\)
0.185037 + 0.982732i \(0.440759\pi\)
\(234\) −15.5916 13.3095i −1.01926 0.870066i
\(235\) −11.3734 −0.741920
\(236\) −8.21726 + 4.74424i −0.534898 + 0.308824i
\(237\) −4.53221 1.99654i −0.294398 0.129689i
\(238\) 22.9593 39.7667i 1.48823 2.57769i
\(239\) −18.5870 10.7312i −1.20230 0.694146i −0.241231 0.970468i \(-0.577551\pi\)
−0.961065 + 0.276322i \(0.910884\pi\)
\(240\) −4.75941 6.49686i −0.307219 0.419371i
\(241\) 5.80729 3.35284i 0.374081 0.215976i −0.301159 0.953574i \(-0.597374\pi\)
0.675240 + 0.737598i \(0.264040\pi\)
\(242\) 18.9498i 1.21814i
\(243\) 15.5854 0.306611i 0.999807 0.0196691i
\(244\) 10.9948 0.703869
\(245\) 3.15560 1.82189i 0.201604 0.116396i
\(246\) 9.99889 7.32489i 0.637506 0.467018i
\(247\) 5.63235 + 7.45699i 0.358378 + 0.474477i
\(248\) −2.15662 + 3.73538i −0.136946 + 0.237197i
\(249\) −2.12392 + 4.82137i −0.134598 + 0.305542i
\(250\) −0.947602 1.64129i −0.0599316 0.103805i
\(251\) −6.55456 −0.413720 −0.206860 0.978371i \(-0.566325\pi\)
−0.206860 + 0.978371i \(0.566325\pi\)
\(252\) −14.8545 4.69764i −0.935747 0.295923i
\(253\) 8.25023i 0.518688i
\(254\) −2.86937 + 1.65663i −0.180040 + 0.103946i
\(255\) 12.7872 1.39488i 0.800768 0.0873505i
\(256\) −10.2117 + 17.6872i −0.638232 + 1.10545i
\(257\) 2.70420 4.68381i 0.168683 0.292168i −0.769274 0.638919i \(-0.779382\pi\)
0.937957 + 0.346751i \(0.112715\pi\)
\(258\) −32.3100 + 3.52449i −2.01153 + 0.219425i
\(259\) 5.30784 + 9.19344i 0.329813 + 0.571253i
\(260\) −2.23661 + 5.28557i −0.138708 + 0.327797i
\(261\) −15.2086 + 3.35798i −0.941391 + 0.207854i
\(262\) 20.4940i 1.26612i
\(263\) 5.90237 + 10.2232i 0.363956 + 0.630390i 0.988608 0.150513i \(-0.0480925\pi\)
−0.624652 + 0.780903i \(0.714759\pi\)
\(264\) −1.22699 0.540517i −0.0755159 0.0332665i
\(265\) 2.39856 + 1.38481i 0.147342 + 0.0850681i
\(266\) 13.8786 + 8.01279i 0.850950 + 0.491296i
\(267\) 17.7146 + 24.1815i 1.08412 + 1.47988i
\(268\) −5.36756 + 3.09896i −0.327876 + 0.189299i
\(269\) 9.63399 0.587395 0.293697 0.955898i \(-0.405114\pi\)
0.293697 + 0.955898i \(0.405114\pi\)
\(270\) −3.15345 9.32922i −0.191913 0.567758i
\(271\) 9.51808i 0.578182i 0.957302 + 0.289091i \(0.0933531\pi\)
−0.957302 + 0.289091i \(0.906647\pi\)
\(272\) −17.2658 29.9053i −1.04689 1.81327i
\(273\) −4.68347 19.8286i −0.283457 1.20008i
\(274\) 15.5206 26.8825i 0.937634 1.62403i
\(275\) −0.866548 0.500301i −0.0522548 0.0301693i
\(276\) −20.8037 9.16449i −1.25223 0.551637i
\(277\) 2.99760 + 5.19199i 0.180108 + 0.311956i 0.941917 0.335845i \(-0.109022\pi\)
−0.761809 + 0.647802i \(0.775689\pi\)
\(278\) 30.3241i 1.81872i
\(279\) −12.3415 + 11.2894i −0.738864 + 0.675878i
\(280\) 2.52394i 0.150834i
\(281\) −6.01530 + 3.47293i −0.358842 + 0.207178i −0.668573 0.743647i \(-0.733095\pi\)
0.309730 + 0.950824i \(0.399761\pi\)
\(282\) 4.04853 + 37.1141i 0.241087 + 2.21011i
\(283\) 0.903153 1.56431i 0.0536869 0.0929884i −0.837933 0.545773i \(-0.816236\pi\)
0.891620 + 0.452785i \(0.149569\pi\)
\(284\) 17.7452 + 10.2452i 1.05299 + 0.607941i
\(285\) 0.486812 + 4.46275i 0.0288362 + 0.264350i
\(286\) 0.840869 + 6.78547i 0.0497216 + 0.401233i
\(287\) 12.3189 0.727162
\(288\) −16.0816 + 14.7107i −0.947620 + 0.866838i
\(289\) 38.1531 2.24430
\(290\) 4.91961 + 8.52102i 0.288890 + 0.500372i
\(291\) −3.29813 + 7.48685i −0.193340 + 0.438887i
\(292\) −5.65607 3.26553i −0.330996 0.191101i
\(293\) 2.08194 + 1.20201i 0.121628 + 0.0702220i 0.559580 0.828777i \(-0.310963\pi\)
−0.437952 + 0.898999i \(0.644296\pi\)
\(294\) −7.06852 9.64893i −0.412244 0.562737i
\(295\) −2.98043 5.16225i −0.173527 0.300558i
\(296\) 2.51728 0.146314
\(297\) −3.90461 3.43316i −0.226569 0.199212i
\(298\) −25.9513 −1.50332
\(299\) −3.65607 29.5030i −0.211436 1.70620i
\(300\) −2.22413 + 1.62933i −0.128410 + 0.0940694i
\(301\) −27.9748 16.1513i −1.61244 0.930944i
\(302\) 8.78822 15.2216i 0.505705 0.875907i
\(303\) 15.5657 + 6.85704i 0.894225 + 0.393927i
\(304\) 10.4369 6.02577i 0.598599 0.345601i
\(305\) 6.90715i 0.395502i
\(306\) −9.10361 41.2312i −0.520419 2.35703i
\(307\) 13.4202i 0.765932i −0.923762 0.382966i \(-0.874903\pi\)
0.923762 0.382966i \(-0.125097\pi\)
\(308\) 2.59817 + 4.50016i 0.148044 + 0.256421i
\(309\) −2.28632 20.9594i −0.130064 1.19234i
\(310\) 9.15081 + 5.28322i 0.519731 + 0.300067i
\(311\) 10.4161 18.0412i 0.590643 1.02302i −0.403503 0.914978i \(-0.632208\pi\)
0.994146 0.108045i \(-0.0344592\pi\)
\(312\) −4.62727 1.38916i −0.261968 0.0786459i
\(313\) 14.4104 + 24.9595i 0.814523 + 1.41080i 0.909670 + 0.415332i \(0.136335\pi\)
−0.0951470 + 0.995463i \(0.530332\pi\)
\(314\) 4.51311i 0.254690i
\(315\) 2.95115 9.33192i 0.166279 0.525794i
\(316\) 4.55145 0.256039
\(317\) 1.54399 0.891421i 0.0867190 0.0500672i −0.456013 0.889973i \(-0.650723\pi\)
0.542732 + 0.839906i \(0.317390\pi\)
\(318\) 3.66515 8.32000i 0.205531 0.466562i
\(319\) 4.49881 + 2.59739i 0.251885 + 0.145426i
\(320\) 3.87039 + 2.23457i 0.216362 + 0.124916i
\(321\) −12.9697 + 9.50122i −0.723898 + 0.530306i
\(322\) −25.4905 44.1508i −1.42053 2.46043i
\(323\) 19.2484i 1.07101i
\(324\) −12.9943 + 6.03220i −0.721906 + 0.335122i
\(325\) −3.32050 1.40508i −0.184188 0.0779399i
\(326\) 14.5805 + 25.2541i 0.807537 + 1.39870i
\(327\) 7.76711 + 10.6025i 0.429522 + 0.586322i
\(328\) 1.46058 2.52980i 0.0806470 0.139685i
\(329\) −18.5528 + 32.1343i −1.02285 + 1.77162i
\(330\) −1.32414 + 3.00584i −0.0728915 + 0.165466i
\(331\) −24.7844 + 14.3093i −1.36227 + 0.786510i −0.989926 0.141583i \(-0.954781\pi\)
−0.372348 + 0.928093i \(0.621447\pi\)
\(332\) 4.84184i 0.265731i
\(333\) 9.30728 + 2.94336i 0.510036 + 0.161295i
\(334\) 10.1372 0.554684
\(335\) −1.94683 3.37201i −0.106367 0.184233i
\(336\) −26.1199 + 2.84925i −1.42496 + 0.155439i
\(337\) −4.59158 + 7.95285i −0.250119 + 0.433219i −0.963558 0.267498i \(-0.913803\pi\)
0.713439 + 0.700717i \(0.247137\pi\)
\(338\) 6.01394 + 23.8924i 0.327115 + 1.29957i
\(339\) 1.79970 + 16.4984i 0.0977464 + 0.896070i
\(340\) −10.2377 + 5.91075i −0.555219 + 0.320556i
\(341\) 5.57872 0.302105
\(342\) 14.3897 3.17716i 0.778105 0.171801i
\(343\) 10.9496i 0.591224i
\(344\) −6.63362 + 3.82992i −0.357661 + 0.206496i
\(345\) 5.75732 13.0693i 0.309964 0.703627i
\(346\) 27.4861 + 15.8691i 1.47766 + 0.853127i
\(347\) −2.13858 + 3.70413i −0.114805 + 0.198848i −0.917702 0.397270i \(-0.869958\pi\)
0.802897 + 0.596118i \(0.203291\pi\)
\(348\) 11.5469 8.45891i 0.618978 0.453445i
\(349\) −8.55416 + 4.93875i −0.457894 + 0.264365i −0.711158 0.703032i \(-0.751829\pi\)
0.253264 + 0.967397i \(0.418496\pi\)
\(350\) −6.18306 −0.330499
\(351\) −15.4844 10.5467i −0.826496 0.562943i
\(352\) 7.26940 0.387460
\(353\) 3.85654 2.22658i 0.205263 0.118509i −0.393845 0.919177i \(-0.628855\pi\)
0.599108 + 0.800668i \(0.295522\pi\)
\(354\) −15.7847 + 11.5634i −0.838947 + 0.614588i
\(355\) −6.43625 + 11.1479i −0.341601 + 0.591670i
\(356\) −23.8577 13.7743i −1.26446 0.730035i
\(357\) 16.9180 38.4043i 0.895395 2.03257i
\(358\) −26.2202 + 15.1382i −1.38578 + 0.800080i
\(359\) 13.1002i 0.691404i 0.938344 + 0.345702i \(0.112359\pi\)
−0.938344 + 0.345702i \(0.887641\pi\)
\(360\) −1.56649 1.71248i −0.0825614 0.0902554i
\(361\) 12.2823 0.646437
\(362\) −2.88919 + 1.66807i −0.151852 + 0.0876719i
\(363\) −1.87801 17.2163i −0.0985701 0.903621i
\(364\) 11.2854 + 14.9413i 0.591513 + 0.783138i
\(365\) 2.05147 3.55326i 0.107379 0.185986i
\(366\) 22.5396 2.45870i 1.17816 0.128518i
\(367\) −2.26826 3.92875i −0.118402 0.205079i 0.800732 0.599022i \(-0.204444\pi\)
−0.919135 + 0.393943i \(0.871111\pi\)
\(368\) −38.3386 −1.99854
\(369\) 8.35829 7.64577i 0.435115 0.398023i
\(370\) 6.16674i 0.320594i
\(371\) 7.82525 4.51791i 0.406267 0.234558i
\(372\) 6.19693 14.0672i 0.321296 0.729351i
\(373\) 1.03048 1.78484i 0.0533560 0.0924153i −0.838114 0.545495i \(-0.816342\pi\)
0.891470 + 0.453080i \(0.149675\pi\)
\(374\) −7.04162 + 12.1964i −0.364114 + 0.630663i
\(375\) −1.02358 1.39724i −0.0528574 0.0721533i
\(376\) 4.39939 + 7.61996i 0.226881 + 0.392969i
\(377\) 17.2389 + 7.29469i 0.887848 + 0.375696i
\(378\) −31.5027 6.30846i −1.62032 0.324472i
\(379\) 15.9055i 0.817010i −0.912756 0.408505i \(-0.866050\pi\)
0.912756 0.408505i \(-0.133950\pi\)
\(380\) −2.06285 3.57297i −0.105822 0.183289i
\(381\) −2.44271 + 1.78946i −0.125144 + 0.0916767i
\(382\) −20.9623 12.1026i −1.07253 0.619223i
\(383\) 11.7910 + 6.80753i 0.602491 + 0.347848i 0.770021 0.638019i \(-0.220246\pi\)
−0.167530 + 0.985867i \(0.553579\pi\)
\(384\) −4.23151 + 9.60566i −0.215939 + 0.490187i
\(385\) −2.82709 + 1.63222i −0.144082 + 0.0831858i
\(386\) −38.8465 −1.97723
\(387\) −29.0051 + 6.40415i −1.47441 + 0.325541i
\(388\) 7.51865i 0.381702i
\(389\) 1.18440 + 2.05144i 0.0600515 + 0.104012i 0.894488 0.447091i \(-0.147540\pi\)
−0.834437 + 0.551104i \(0.814207\pi\)
\(390\) −3.40313 + 11.3357i −0.172324 + 0.574007i
\(391\) 30.6168 53.0298i 1.54836 2.68183i
\(392\) −2.44125 1.40946i −0.123302 0.0711884i
\(393\) −2.03106 18.6193i −0.102453 0.939219i
\(394\) 24.6196 + 42.6424i 1.24032 + 2.14829i
\(395\) 2.85932i 0.143868i
\(396\) 4.55589 + 1.44077i 0.228942 + 0.0724012i
\(397\) 20.9582i 1.05186i 0.850527 + 0.525931i \(0.176283\pi\)
−0.850527 + 0.525931i \(0.823717\pi\)
\(398\) 26.3899 15.2362i 1.32281 0.763722i
\(399\) 13.4031 + 5.90438i 0.670995 + 0.295589i
\(400\) −2.32489 + 4.02682i −0.116244 + 0.201341i
\(401\) 10.9949 + 6.34789i 0.549057 + 0.316998i 0.748742 0.662862i \(-0.230658\pi\)
−0.199684 + 0.979860i \(0.563992\pi\)
\(402\) −10.3106 + 7.55327i −0.514248 + 0.376723i
\(403\) 19.9496 2.47220i 0.993763 0.123149i
\(404\) −15.6318 −0.777711
\(405\) −3.78955 8.16329i −0.188304 0.405637i
\(406\) 32.1003 1.59311
\(407\) −1.62791 2.81963i −0.0806927 0.139764i
\(408\) −5.88081 8.02764i −0.291144 0.397427i
\(409\) −15.2644 8.81290i −0.754776 0.435770i 0.0726412 0.997358i \(-0.476857\pi\)
−0.827417 + 0.561588i \(0.810191\pi\)
\(410\) −6.19742 3.57808i −0.306069 0.176709i
\(411\) 11.4366 25.9615i 0.564128 1.28059i
\(412\) 9.68824 + 16.7805i 0.477305 + 0.826717i
\(413\) −19.4472 −0.956933
\(414\) −44.6975 14.1353i −2.19676 0.694710i
\(415\) 3.04174 0.149313
\(416\) 25.9956 3.22142i 1.27454 0.157943i
\(417\) −3.00526 27.5501i −0.147168 1.34914i
\(418\) −4.25656 2.45753i −0.208195 0.120201i
\(419\) −18.0022 + 31.1808i −0.879467 + 1.52328i −0.0275401 + 0.999621i \(0.508767\pi\)
−0.851927 + 0.523661i \(0.824566\pi\)
\(420\) 0.975408 + 8.94186i 0.0475951 + 0.436318i
\(421\) 23.5453 13.5939i 1.14753 0.662527i 0.199246 0.979950i \(-0.436151\pi\)
0.948284 + 0.317423i \(0.102818\pi\)
\(422\) 12.3628i 0.601812i
\(423\) 7.35637 + 33.3178i 0.357679 + 1.61997i
\(424\) 2.14265i 0.104056i
\(425\) −3.71326 6.43155i −0.180119 0.311976i
\(426\) 38.6693 + 17.0347i 1.87353 + 0.825335i
\(427\) 19.5154 + 11.2672i 0.944416 + 0.545259i
\(428\) 7.38781 12.7961i 0.357103 0.618521i
\(429\) 1.43642 + 6.08143i 0.0693511 + 0.293614i
\(430\) 9.38242 + 16.2508i 0.452460 + 0.783685i
\(431\) 10.2093i 0.491762i 0.969300 + 0.245881i \(0.0790773\pi\)
−0.969300 + 0.245881i \(0.920923\pi\)
\(432\) −15.9538 + 18.1446i −0.767577 + 0.872984i
\(433\) −21.1855 −1.01811 −0.509056 0.860733i \(-0.670005\pi\)
−0.509056 + 0.860733i \(0.670005\pi\)
\(434\) 29.8543 17.2364i 1.43305 0.827374i
\(435\) 5.31406 + 7.25399i 0.254790 + 0.347802i
\(436\) −10.4606 6.03944i −0.500972 0.289237i
\(437\) 18.5074 + 10.6852i 0.885329 + 0.511145i
\(438\) −12.3254 5.42960i −0.588928 0.259436i
\(439\) 3.06941 + 5.31638i 0.146495 + 0.253737i 0.929930 0.367737i \(-0.119867\pi\)
−0.783435 + 0.621474i \(0.786534\pi\)
\(440\) 0.774093i 0.0369034i
\(441\) −7.37817 8.06575i −0.351341 0.384083i
\(442\) −19.7762 + 46.7353i −0.940657 + 2.22297i
\(443\) 2.15458 + 3.73184i 0.102367 + 0.177305i 0.912659 0.408721i \(-0.134025\pi\)
−0.810292 + 0.586026i \(0.800692\pi\)
\(444\) −8.91825 + 0.972834i −0.423242 + 0.0461686i
\(445\) 8.65328 14.9879i 0.410205 0.710496i
\(446\) 23.7751 41.1797i 1.12578 1.94992i
\(447\) −23.5773 + 2.57190i −1.11517 + 0.121647i
\(448\) 12.6271 7.29025i 0.596573 0.344432i
\(449\) 39.6303i 1.87027i 0.354293 + 0.935134i \(0.384722\pi\)
−0.354293 + 0.935134i \(0.615278\pi\)
\(450\) −4.19517 + 3.83754i −0.197762 + 0.180904i
\(451\) −3.77821 −0.177909
\(452\) −7.62619 13.2090i −0.358706 0.621297i
\(453\) 6.47576 14.7002i 0.304258 0.690674i
\(454\) −22.2806 + 38.5910i −1.04568 + 1.81117i
\(455\) −9.38644 + 7.08969i −0.440043 + 0.332370i
\(456\) 2.80165 2.05240i 0.131199 0.0961126i
\(457\) −8.39654 + 4.84775i −0.392774 + 0.226768i −0.683361 0.730080i \(-0.739483\pi\)
0.290588 + 0.956848i \(0.406149\pi\)
\(458\) 15.4874 0.723677
\(459\) −12.3571 36.5573i −0.576778 1.70635i
\(460\) 13.1248i 0.611946i
\(461\) 32.2639 18.6276i 1.50268 0.867573i 0.502685 0.864470i \(-0.332346\pi\)
0.999995 0.00310271i \(-0.000987624\pi\)
\(462\) 6.33267 + 8.64445i 0.294622 + 0.402176i
\(463\) 10.9320 + 6.31158i 0.508052 + 0.293324i 0.732033 0.681270i \(-0.238572\pi\)
−0.223981 + 0.974594i \(0.571905\pi\)
\(464\) 12.0700 20.9058i 0.560335 0.970530i
\(465\) 8.83731 + 3.89304i 0.409821 + 0.180535i
\(466\) −9.27157 + 5.35294i −0.429497 + 0.247970i
\(467\) 8.83032 0.408619 0.204309 0.978906i \(-0.434505\pi\)
0.204309 + 0.978906i \(0.434505\pi\)
\(468\) 16.9304 + 3.13329i 0.782610 + 0.144836i
\(469\) −12.7030 −0.586570
\(470\) 18.6671 10.7775i 0.861050 0.497128i
\(471\) −0.447271 4.10027i −0.0206092 0.188930i
\(472\) −2.30574 + 3.99365i −0.106130 + 0.183823i
\(473\) 8.57988 + 4.95360i 0.394503 + 0.227767i
\(474\) 9.33061 1.01782i 0.428569 0.0467498i
\(475\) 2.24461 1.29593i 0.102990 0.0594612i
\(476\) 38.5674i 1.76774i
\(477\) 2.50532 7.92215i 0.114711 0.362730i
\(478\) 40.6758 1.86047
\(479\) −9.04739 + 5.22351i −0.413386 + 0.238668i −0.692243 0.721664i \(-0.743378\pi\)
0.278858 + 0.960332i \(0.410044\pi\)
\(480\) 11.5155 + 5.07286i 0.525610 + 0.231543i
\(481\) −7.07098 9.36166i −0.322409 0.426855i
\(482\) −6.35432 + 11.0060i −0.289431 + 0.501310i
\(483\) −27.5343 37.5858i −1.25285 1.71021i
\(484\) 7.95803 + 13.7837i 0.361729 + 0.626532i
\(485\) 4.72337 0.214477
\(486\) −25.2898 + 15.2720i −1.14717 + 0.692754i
\(487\) 12.7680i 0.578574i −0.957242 0.289287i \(-0.906582\pi\)
0.957242 0.289287i \(-0.0934181\pi\)
\(488\) 4.62765 2.67177i 0.209484 0.120946i
\(489\) 15.7495 + 21.4989i 0.712217 + 0.972216i
\(490\) −3.45285 + 5.98050i −0.155984 + 0.270172i
\(491\) −8.76862 + 15.1877i −0.395722 + 0.685411i −0.993193 0.116479i \(-0.962839\pi\)
0.597471 + 0.801891i \(0.296172\pi\)
\(492\) −4.19690 + 9.52707i −0.189211 + 0.429514i
\(493\) 19.2779 + 33.3903i 0.868234 + 1.50382i
\(494\) −16.3106 6.90189i −0.733849 0.310531i
\(495\) −0.905119 + 2.86210i −0.0406821 + 0.128642i
\(496\) 25.9242i 1.16403i
\(497\) 20.9981 + 36.3698i 0.941895 + 1.63141i
\(498\) −1.08275 9.92592i −0.0485193 0.444791i
\(499\) −14.3518 8.28603i −0.642476 0.370933i 0.143092 0.989709i \(-0.454296\pi\)
−0.785568 + 0.618776i \(0.787629\pi\)
\(500\) 1.37854 + 0.795899i 0.0616501 + 0.0355937i
\(501\) 9.20991 1.00465i 0.411468 0.0448844i
\(502\) 10.7580 6.21112i 0.480152 0.277216i
\(503\) −31.9034 −1.42250 −0.711251 0.702938i \(-0.751871\pi\)
−0.711251 + 0.702938i \(0.751871\pi\)
\(504\) −7.39374 + 1.63249i −0.329343 + 0.0727171i
\(505\) 9.82021i 0.436994i
\(506\) 7.81793 + 13.5411i 0.347550 + 0.601974i
\(507\) 7.83165 + 21.1108i 0.347816 + 0.937563i
\(508\) 1.39142 2.41001i 0.0617343 0.106927i
\(509\) 10.3173 + 5.95672i 0.457308 + 0.264027i 0.710912 0.703281i \(-0.248283\pi\)
−0.253604 + 0.967308i \(0.581616\pi\)
\(510\) −19.6658 + 14.4066i −0.870818 + 0.637936i
\(511\) −6.69289 11.5924i −0.296076 0.512819i
\(512\) 26.5863i 1.17496i
\(513\) 12.7585 4.31261i 0.563301 0.190406i
\(514\) 10.2500i 0.452109i
\(515\) −10.5419 + 6.08635i −0.464530 + 0.268197i
\(516\) 22.0216 16.1324i 0.969446 0.710188i
\(517\) 5.69014 9.85561i 0.250252 0.433449i
\(518\) −17.4235 10.0594i −0.765542 0.441986i
\(519\) 26.5444 + 11.6934i 1.16517 + 0.513284i
\(520\) 0.343038 + 2.76817i 0.0150432 + 0.121392i
\(521\) −3.54378 −0.155256 −0.0776279 0.996982i \(-0.524735\pi\)
−0.0776279 + 0.996982i \(0.524735\pi\)
\(522\) 21.7798 19.9232i 0.953277 0.872014i
\(523\) 19.0310 0.832167 0.416083 0.909326i \(-0.363402\pi\)
0.416083 + 0.909326i \(0.363402\pi\)
\(524\) 8.60655 + 14.9070i 0.375979 + 0.651214i
\(525\) −5.61746 + 0.612772i −0.245166 + 0.0267435i
\(526\) −19.3751 11.1862i −0.844793 0.487742i
\(527\) 35.8582 + 20.7027i 1.56201 + 0.901825i
\(528\) 8.01098 0.873865i 0.348633 0.0380301i
\(529\) −22.4921 38.9575i −0.977919 1.69381i
\(530\) −5.24899 −0.228002
\(531\) −13.1948 + 12.0700i −0.572605 + 0.523792i
\(532\) −13.4600 −0.583566
\(533\) −13.5110 + 1.67431i −0.585225 + 0.0725222i
\(534\) −51.9893 22.9025i −2.24980 0.991088i
\(535\) 8.03875 + 4.64118i 0.347546 + 0.200655i
\(536\) −1.50612 + 2.60867i −0.0650544 + 0.112678i
\(537\) −22.3214 + 16.3520i −0.963238 + 0.705640i
\(538\) −15.8122 + 9.12919i −0.681713 + 0.393587i
\(539\) 3.64597i 0.157043i
\(540\) 6.21161 + 5.46160i 0.267305 + 0.235030i
\(541\) 37.3200i 1.60451i 0.596981 + 0.802255i \(0.296367\pi\)
−0.596981 + 0.802255i \(0.703633\pi\)
\(542\) −9.01935 15.6220i −0.387414 0.671021i
\(543\) −2.45958 + 1.80181i −0.105551 + 0.0773233i
\(544\) 46.7253 + 26.9769i 2.00333 + 1.15662i
\(545\) 3.79410 6.57157i 0.162521 0.281495i
\(546\) 26.4766 + 28.1065i 1.13309 + 1.20285i
\(547\) −2.03031 3.51660i −0.0868098 0.150359i 0.819351 0.573292i \(-0.194334\pi\)
−0.906161 + 0.422933i \(0.861001\pi\)
\(548\) 26.0718i 1.11373i
\(549\) 20.2341 4.46757i 0.863570 0.190671i
\(550\) 1.89635 0.0808605
\(551\) −11.6532 + 6.72799i −0.496444 + 0.286622i
\(552\) −10.9832 + 1.19808i −0.467474 + 0.0509937i
\(553\) 8.07869 + 4.66423i 0.343541 + 0.198343i
\(554\) −9.83988 5.68106i −0.418056 0.241365i
\(555\) −0.611154 5.60263i −0.0259420 0.237818i
\(556\) 12.7347 + 22.0572i 0.540073 + 0.935433i
\(557\) 0.758048i 0.0321195i 0.999871 + 0.0160598i \(0.00511220\pi\)
−0.999871 + 0.0160598i \(0.994888\pi\)
\(558\) 9.55812 30.2240i 0.404628 1.27948i
\(559\) 32.8771 + 13.9120i 1.39055 + 0.588416i
\(560\) 7.58490 + 13.1374i 0.320520 + 0.555158i
\(561\) −5.18875 + 11.7786i −0.219069 + 0.497293i
\(562\) 6.58192 11.4002i 0.277641 0.480889i
\(563\) 14.6638 25.3984i 0.618005 1.07042i −0.371844 0.928295i \(-0.621274\pi\)
0.989849 0.142121i \(-0.0453922\pi\)
\(564\) −18.5311 25.2959i −0.780298 1.06515i
\(565\) 8.29813 4.79093i 0.349105 0.201556i
\(566\) 3.42332i 0.143893i
\(567\) −29.2461 2.60931i −1.22822 0.109581i
\(568\) 9.95850 0.417849
\(569\) 13.4725 + 23.3351i 0.564798 + 0.978258i 0.997068 + 0.0765144i \(0.0243791\pi\)
−0.432271 + 0.901744i \(0.642288\pi\)
\(570\) −5.02791 6.86338i −0.210596 0.287475i
\(571\) −9.83988 + 17.0432i −0.411786 + 0.713235i −0.995085 0.0990228i \(-0.968428\pi\)
0.583299 + 0.812258i \(0.301762\pi\)
\(572\) −3.46122 4.58251i −0.144721 0.191604i
\(573\) −20.2442 8.91803i −0.845713 0.372556i
\(574\) −20.2189 + 11.6734i −0.843923 + 0.487239i
\(575\) −8.24526 −0.343851
\(576\) 4.04267 12.7834i 0.168445 0.532643i
\(577\) 3.25178i 0.135373i 0.997707 + 0.0676867i \(0.0215618\pi\)
−0.997707 + 0.0676867i \(0.978438\pi\)
\(578\) −62.6205 + 36.1539i −2.60467 + 1.50381i
\(579\) −35.2929 + 3.84987i −1.46672 + 0.159995i
\(580\) −7.15688 4.13203i −0.297173 0.171573i
\(581\) 4.96181 8.59411i 0.205851 0.356544i
\(582\) −1.68135 15.4134i −0.0696943 0.638908i
\(583\) −2.40001 + 1.38564i −0.0993981 + 0.0573875i
\(584\) −3.17415 −0.131347
\(585\) −1.96839 + 10.6360i −0.0813831 + 0.439746i
\(586\) −4.55610 −0.188211
\(587\) −34.6602 + 20.0111i −1.43058 + 0.825945i −0.997165 0.0752491i \(-0.976025\pi\)
−0.433415 + 0.901195i \(0.642691\pi\)
\(588\) 9.19362 + 4.05000i 0.379139 + 0.167019i
\(589\) −7.22525 + 12.5145i −0.297711 + 0.515651i
\(590\) 9.78352 + 5.64852i 0.402781 + 0.232546i
\(591\) 26.5935 + 36.3017i 1.09391 + 1.49325i
\(592\) −13.1027 + 7.56488i −0.538520 + 0.310914i
\(593\) 15.3656i 0.630988i 0.948928 + 0.315494i \(0.102170\pi\)
−0.948928 + 0.315494i \(0.897830\pi\)
\(594\) 9.66189 + 1.93481i 0.396432 + 0.0793861i
\(595\) −24.2288 −0.993286
\(596\) 18.8765 10.8984i 0.773211 0.446414i
\(597\) 22.4658 16.4578i 0.919466 0.673573i
\(598\) 33.9578 + 44.9587i 1.38864 + 1.83850i
\(599\) −5.54111 + 9.59748i −0.226403 + 0.392142i −0.956740 0.290946i \(-0.906030\pi\)
0.730336 + 0.683088i \(0.239363\pi\)
\(600\) −0.540191 + 1.22625i −0.0220532 + 0.0500614i
\(601\) −20.1265 34.8602i −0.820979 1.42198i −0.904954 0.425509i \(-0.860095\pi\)
0.0839755 0.996468i \(-0.473238\pi\)
\(602\) 61.2199 2.49514
\(603\) −8.61890 + 7.88416i −0.350989 + 0.321068i
\(604\) 14.7626i 0.600682i
\(605\) −8.65921 + 4.99940i −0.352047 + 0.203254i
\(606\) −32.0456 + 3.49565i −1.30176 + 0.142001i
\(607\) 7.41688 12.8464i 0.301042 0.521420i −0.675330 0.737515i \(-0.735999\pi\)
0.976372 + 0.216096i \(0.0693323\pi\)
\(608\) −9.41493 + 16.3071i −0.381826 + 0.661342i
\(609\) 29.1639 3.18129i 1.18178 0.128913i
\(610\) −6.54522 11.3367i −0.265008 0.459008i
\(611\) 15.9806 37.7655i 0.646505 1.52783i
\(612\) 23.9370 + 26.1677i 0.967597 + 1.05777i
\(613\) 13.2745i 0.536153i 0.963398 + 0.268077i \(0.0863881\pi\)
−0.963398 + 0.268077i \(0.913612\pi\)
\(614\) 12.7170 + 22.0265i 0.513217 + 0.888918i
\(615\) −5.98510 2.63658i −0.241343 0.106317i
\(616\) 2.18711 + 1.26273i 0.0881213 + 0.0508769i
\(617\) −9.94291 5.74054i −0.400287 0.231106i 0.286321 0.958134i \(-0.407568\pi\)
−0.686608 + 0.727028i \(0.740901\pi\)
\(618\) 23.6137 + 32.2340i 0.949883 + 1.29664i
\(619\) 12.4593 7.19336i 0.500780 0.289125i −0.228256 0.973601i \(-0.573302\pi\)
0.729036 + 0.684476i \(0.239969\pi\)
\(620\) −8.87484 −0.356422
\(621\) −42.0096 8.41248i −1.68579 0.337581i
\(622\) 39.4813i 1.58305i
\(623\) −28.2312 48.8978i −1.13106 1.95905i
\(624\) 28.2602 6.67501i 1.13131 0.267214i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −47.3034 27.3106i −1.89062 1.09155i
\(627\) −4.11074 1.81087i −0.164167 0.0723193i
\(628\) 1.89530 + 3.28276i 0.0756307 + 0.130996i
\(629\) 24.1649i 0.963517i
\(630\) 3.99923 + 18.1129i 0.159333 + 0.721637i
\(631\) 19.2657i 0.766957i −0.923550 0.383479i \(-0.874726\pi\)
0.923550 0.383479i \(-0.125274\pi\)
\(632\) 1.91568 1.10602i 0.0762018 0.0439952i
\(633\) −1.22521 11.2319i −0.0486979 0.446428i
\(634\) −1.68943 + 2.92617i −0.0670957 + 0.116213i
\(635\) 1.51402 + 0.874119i 0.0600820 + 0.0346883i
\(636\) 0.828054 + 7.59101i 0.0328345 + 0.301003i
\(637\) 1.61570 + 13.0381i 0.0640165 + 0.516588i
\(638\) −9.84516 −0.389774
\(639\) 36.8202 + 11.6441i 1.45658 + 0.460634i
\(640\) 6.06010 0.239547
\(641\) −6.58973 11.4137i −0.260279 0.450816i 0.706037 0.708175i \(-0.250481\pi\)
−0.966316 + 0.257359i \(0.917148\pi\)
\(642\) 12.2837 27.8844i 0.484800 1.10051i
\(643\) −13.6088 7.85706i −0.536680 0.309852i 0.207053 0.978330i \(-0.433613\pi\)
−0.743732 + 0.668478i \(0.766946\pi\)
\(644\) 37.0826 + 21.4097i 1.46126 + 0.843659i
\(645\) 10.1347 + 13.8344i 0.399053 + 0.544729i
\(646\) −18.2398 31.5923i −0.717637 1.24298i
\(647\) 21.2633 0.835948 0.417974 0.908459i \(-0.362740\pi\)
0.417974 + 0.908459i \(0.362740\pi\)
\(648\) −4.00339 + 5.69659i −0.157268 + 0.223783i
\(649\) 5.96445 0.234125
\(650\) 6.78138 0.840362i 0.265988 0.0329617i
\(651\) 25.4151 18.6184i 0.996098 0.729712i
\(652\) −21.2111 12.2463i −0.830692 0.479600i
\(653\) 9.65619 16.7250i 0.377876 0.654500i −0.612877 0.790178i \(-0.709988\pi\)
0.990753 + 0.135678i \(0.0433212\pi\)
\(654\) −22.7951 10.0418i −0.891360 0.392664i
\(655\) −9.36487 + 5.40681i −0.365916 + 0.211261i
\(656\) 17.5572i 0.685495i
\(657\) −11.7360 3.71142i −0.457864 0.144796i
\(658\) 70.3226i 2.74146i
\(659\) 4.11952 + 7.13522i 0.160474 + 0.277949i 0.935039 0.354546i \(-0.115364\pi\)
−0.774565 + 0.632494i \(0.782031\pi\)
\(660\) −0.299158 2.74247i −0.0116447 0.106750i
\(661\) −16.4579 9.50199i −0.640139 0.369585i 0.144529 0.989501i \(-0.453833\pi\)
−0.784668 + 0.619916i \(0.787167\pi\)
\(662\) 27.1190 46.9715i 1.05401 1.82560i
\(663\) −13.3354 + 44.4200i −0.517905 + 1.72513i
\(664\) −1.17659 2.03791i −0.0456604 0.0790861i
\(665\) 8.45587i 0.327904i
\(666\) −18.0651 + 3.98867i −0.700009 + 0.154558i
\(667\) 42.8065 1.65747
\(668\) −7.37364 + 4.25717i −0.285295 + 0.164715i
\(669\) 17.5191 39.7690i 0.677329 1.53756i
\(670\) 6.39064 + 3.68964i 0.246892 + 0.142543i
\(671\) −5.98537 3.45566i −0.231063 0.133404i
\(672\) 33.1174 24.2608i 1.27753 0.935882i
\(673\) −4.04033 6.99805i −0.155743 0.269755i 0.777586 0.628776i \(-0.216444\pi\)
−0.933329 + 0.359021i \(0.883111\pi\)
\(674\) 17.4040i 0.670376i
\(675\) −3.43109 + 3.90226i −0.132063 + 0.150198i
\(676\) −14.4081 14.8533i −0.554159 0.571282i
\(677\) −2.86472 4.96183i −0.110100 0.190699i 0.805710 0.592310i \(-0.201784\pi\)
−0.915810 + 0.401611i \(0.868450\pi\)
\(678\) −18.5878 25.3733i −0.713858 0.974457i
\(679\) 7.70495 13.3454i 0.295689 0.512148i
\(680\) −2.87267 + 4.97561i −0.110162 + 0.190806i
\(681\) −16.4178 + 37.2690i −0.629133 + 1.42815i
\(682\) −9.15633 + 5.28641i −0.350614 + 0.202427i
\(683\) 28.8081i 1.10231i −0.834403 0.551155i \(-0.814187\pi\)
0.834403 0.551155i \(-0.185813\pi\)
\(684\) −9.13254 + 8.35402i −0.349191 + 0.319424i
\(685\) −16.3788 −0.625803
\(686\) −10.3759 17.9716i −0.396153 0.686157i
\(687\) 14.0706 1.53487i 0.536828 0.0585590i
\(688\) 23.0192 39.8705i 0.877600 1.52005i
\(689\) −7.96843 + 6.01865i −0.303573 + 0.229292i
\(690\) 2.93502 + 26.9062i 0.111734 + 1.02430i
\(691\) 36.1886 20.8935i 1.37668 0.794827i 0.384922 0.922949i \(-0.374228\pi\)
0.991758 + 0.128122i \(0.0408949\pi\)
\(692\) −26.6572 −1.01335
\(693\) 6.61008 + 7.22609i 0.251096 + 0.274496i
\(694\) 8.10610i 0.307703i
\(695\) −13.8568 + 8.00021i −0.525617 + 0.303465i
\(696\) 2.80448 6.36625i 0.106304 0.241312i
\(697\) −24.2851 14.0210i −0.919863 0.531083i
\(698\) 9.35994 16.2119i 0.354279 0.613629i
\(699\) −7.89294 + 5.78213i −0.298538 + 0.218700i
\(700\) 4.49745 2.59660i 0.169988 0.0981424i
\(701\) −50.0124 −1.88894 −0.944472 0.328593i \(-0.893426\pi\)
−0.944472 + 0.328593i \(0.893426\pi\)
\(702\) 35.4086 + 2.63727i 1.33641 + 0.0995374i
\(703\) 8.43354 0.318077
\(704\) −3.87273 + 2.23592i −0.145959 + 0.0842694i
\(705\) 15.8914 11.6416i 0.598505 0.438447i
\(706\) −4.21981 + 7.30893i −0.158815 + 0.275075i
\(707\) −27.7459 16.0191i −1.04349 0.602461i
\(708\) 6.62541 15.0399i 0.248998 0.565233i
\(709\) 28.1835 16.2718i 1.05846 0.611099i 0.133451 0.991055i \(-0.457394\pi\)
0.925005 + 0.379956i \(0.124061\pi\)
\(710\) 24.3960i 0.915566i
\(711\) 8.37621 1.84942i 0.314132 0.0693586i
\(712\) −13.3888 −0.501767
\(713\) 39.8114 22.9851i 1.49095 0.860800i
\(714\) 8.62461 + 79.0643i 0.322768 + 2.95891i
\(715\) 2.87882 2.17441i 0.107662 0.0813183i
\(716\) 12.7147 22.0226i 0.475172 0.823022i
\(717\) 36.9549 4.03116i 1.38011 0.150547i
\(718\) −12.4138 21.5013i −0.463279 0.802423i
\(719\) −24.3361 −0.907584 −0.453792 0.891108i \(-0.649929\pi\)
−0.453792 + 0.891108i \(0.649929\pi\)
\(720\) 13.3001 + 4.20606i 0.495666 + 0.156751i
\(721\) 39.7132i 1.47900i
\(722\) −20.1589 + 11.6387i −0.750236 + 0.433149i
\(723\) −4.68230 + 10.6290i −0.174137 + 0.395295i
\(724\) 1.40103 2.42665i 0.0520688 0.0901858i
\(725\) 2.59582 4.49610i 0.0964065 0.166981i
\(726\) 19.3966 + 26.4774i 0.719874 + 0.982669i
\(727\) −8.54013 14.7919i −0.316736 0.548603i 0.663069 0.748558i \(-0.269254\pi\)
−0.979805 + 0.199955i \(0.935920\pi\)
\(728\) 8.38075 + 3.54634i 0.310611 + 0.131436i
\(729\) −21.4628 + 16.3813i −0.794919 + 0.606716i
\(730\) 7.77593i 0.287800i
\(731\) 36.7658 + 63.6802i 1.35983 + 2.35530i
\(732\) −15.3624 + 11.2540i −0.567810 + 0.415961i
\(733\) −19.4870 11.2508i −0.719768 0.415558i 0.0948995 0.995487i \(-0.469747\pi\)
−0.814667 + 0.579929i \(0.803080\pi\)
\(734\) 7.44577 + 4.29882i 0.274829 + 0.158672i
\(735\) −2.54429 + 5.77562i −0.0938477 + 0.213037i
\(736\) 51.8766 29.9510i 1.91220 1.10401i
\(737\) 3.89601 0.143511
\(738\) −6.47327 + 20.4693i −0.238284 + 0.753486i
\(739\) 27.5036i 1.01174i −0.862611 0.505869i \(-0.831172\pi\)
0.862611 0.505869i \(-0.168828\pi\)
\(740\) 2.58975 + 4.48558i 0.0952011 + 0.164893i
\(741\) −15.5026 4.65407i −0.569501 0.170971i
\(742\) −8.56236 + 14.8304i −0.314334 + 0.544443i
\(743\) 38.1227 + 22.0101i 1.39859 + 0.807474i 0.994244 0.107135i \(-0.0341677\pi\)
0.404341 + 0.914608i \(0.367501\pi\)
\(744\) −0.810130 7.42670i −0.0297008 0.272276i
\(745\) 6.84657 + 11.8586i 0.250839 + 0.434466i
\(746\) 3.90592i 0.143006i
\(747\) −1.96741 8.91062i −0.0719839 0.326023i
\(748\) 11.8286i 0.432498i
\(749\) 26.2263 15.1417i 0.958287 0.553267i
\(750\) 3.00402 + 1.32334i 0.109691 + 0.0483216i
\(751\) 3.71033 6.42648i 0.135392 0.234506i −0.790355 0.612649i \(-0.790104\pi\)
0.925747 + 0.378143i \(0.123437\pi\)
\(752\) −45.7987 26.4419i −1.67011 0.964237i
\(753\) 9.15831 6.70911i 0.333748 0.244494i
\(754\) −35.2065 + 4.36286i −1.28215 + 0.158886i
\(755\) −9.27417 −0.337522
\(756\) 25.5638 8.64104i 0.929746 0.314271i
\(757\) −21.1578 −0.768992 −0.384496 0.923127i \(-0.625625\pi\)
−0.384496 + 0.923127i \(0.625625\pi\)
\(758\) 15.0721 + 26.1056i 0.547442 + 0.948198i
\(759\) 8.44476 + 11.5276i 0.306525 + 0.418424i
\(760\) −1.73649 1.00256i −0.0629891 0.0363668i
\(761\) −21.2853 12.2891i −0.771591 0.445478i 0.0618512 0.998085i \(-0.480300\pi\)
−0.833442 + 0.552607i \(0.813633\pi\)
\(762\) 2.31351 5.25175i 0.0838098 0.190251i
\(763\) −12.3782 21.4396i −0.448120 0.776166i
\(764\) 20.3302 0.735519
\(765\) −16.4391 + 15.0377i −0.594357 + 0.543690i
\(766\) −25.8033 −0.932312
\(767\) 21.3290 2.64313i 0.770146 0.0954380i
\(768\) −3.83600 35.1658i −0.138420 1.26894i
\(769\) −34.3401 19.8263i −1.23834 0.714954i −0.269583 0.962977i \(-0.586886\pi\)
−0.968754 + 0.248023i \(0.920219\pi\)
\(770\) 3.09340 5.35792i 0.111478 0.193086i
\(771\) 1.01583 + 9.31239i 0.0365841 + 0.335377i
\(772\) 28.2562 16.3137i 1.01696 0.587144i
\(773\) 13.6116i 0.489574i 0.969577 + 0.244787i \(0.0787180\pi\)
−0.969577 + 0.244787i \(0.921282\pi\)
\(774\) 41.5373 37.9964i 1.49303 1.36575i
\(775\)