Properties

Label 64.2.i.a.21.5
Level $64$
Weight $2$
Character 64.21
Analytic conductor $0.511$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 64 = 2^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 64.i (of order \(16\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.511042572936\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(7\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 21.5
Character \(\chi\) \(=\) 64.21
Dual form 64.2.i.a.61.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.297937 + 1.38247i) q^{2} +(0.123576 + 0.621259i) q^{3} +(-1.82247 + 0.823780i) q^{4} +(0.660623 - 0.441414i) q^{5} +(-0.822057 + 0.355937i) q^{6} +(-0.860072 - 0.356253i) q^{7} +(-1.68183 - 2.27408i) q^{8} +(2.40095 - 0.994505i) q^{9} +O(q^{10})\) \(q+(0.297937 + 1.38247i) q^{2} +(0.123576 + 0.621259i) q^{3} +(-1.82247 + 0.823780i) q^{4} +(0.660623 - 0.441414i) q^{5} +(-0.822057 + 0.355937i) q^{6} +(-0.860072 - 0.356253i) q^{7} +(-1.68183 - 2.27408i) q^{8} +(2.40095 - 0.994505i) q^{9} +(0.807067 + 0.781780i) q^{10} +(-0.0768198 - 0.0152804i) q^{11} +(-0.736995 - 1.03043i) q^{12} +(-1.83807 - 1.22816i) q^{13} +(0.236264 - 1.29517i) q^{14} +(0.355870 + 0.355870i) q^{15} +(2.64277 - 3.00262i) q^{16} +(3.15660 - 3.15660i) q^{17} +(2.09021 + 3.02295i) q^{18} +(-3.67418 + 5.49880i) q^{19} +(-0.840335 + 1.34867i) q^{20} +(0.115041 - 0.578352i) q^{21} +(-0.00176270 - 0.110754i) q^{22} +(-2.85915 - 6.90260i) q^{23} +(1.20496 - 1.32588i) q^{24} +(-1.67184 + 4.03618i) q^{25} +(1.15027 - 2.90699i) q^{26} +(1.97029 + 2.94875i) q^{27} +(1.86093 - 0.0592500i) q^{28} +(-8.72686 + 1.73588i) q^{29} +(-0.385954 + 0.598007i) q^{30} +4.18821i q^{31} +(4.93843 + 2.75897i) q^{32} -0.0496134i q^{33} +(5.30439 + 3.42345i) q^{34} +(-0.725438 + 0.144299i) q^{35} +(-3.55639 + 3.79030i) q^{36} +(2.71234 + 4.05931i) q^{37} +(-8.69661 - 3.44116i) q^{38} +(0.535863 - 1.29369i) q^{39} +(-2.11487 - 0.759922i) q^{40} +(2.38360 + 5.75451i) q^{41} +(0.833832 - 0.0132708i) q^{42} +(0.476196 - 2.39400i) q^{43} +(0.152589 - 0.0354346i) q^{44} +(1.14713 - 1.71680i) q^{45} +(8.69082 - 6.00924i) q^{46} +(5.93827 - 5.93827i) q^{47} +(2.19199 + 1.27079i) q^{48} +(-4.33694 - 4.33694i) q^{49} +(-6.07802 - 1.10875i) q^{50} +(2.35115 + 1.57099i) q^{51} +(4.36155 + 0.724112i) q^{52} +(-1.38768 - 0.276027i) q^{53} +(-3.48954 + 3.60242i) q^{54} +(-0.0574939 + 0.0238148i) q^{55} +(0.636351 + 2.55503i) q^{56} +(-3.87022 - 1.60310i) q^{57} +(-4.99987 - 11.5475i) q^{58} +(10.1842 - 6.80486i) q^{59} +(-0.941720 - 0.355403i) q^{60} +(0.575578 + 2.89363i) q^{61} +(-5.79009 + 1.24782i) q^{62} -2.41928 q^{63} +(-2.34286 + 7.64925i) q^{64} -1.75639 q^{65} +(0.0685892 - 0.0147817i) q^{66} +(-1.81110 - 9.10504i) q^{67} +(-3.15246 + 8.35315i) q^{68} +(3.93498 - 2.62927i) q^{69} +(-0.415624 - 0.959907i) q^{70} +(3.80374 + 1.57556i) q^{71} +(-6.29958 - 3.78735i) q^{72} +(0.958083 - 0.396851i) q^{73} +(-4.80378 + 4.95916i) q^{74} +(-2.71412 - 0.539871i) q^{75} +(2.16627 - 13.0481i) q^{76} +(0.0606269 + 0.0405096i) q^{77} +(1.94814 + 0.355379i) q^{78} +(7.08438 + 7.08438i) q^{79} +(0.420475 - 3.15016i) q^{80} +(3.92436 - 3.92436i) q^{81} +(-7.24529 + 5.00974i) q^{82} +(-3.50145 + 5.24029i) q^{83} +(0.266776 + 1.14880i) q^{84} +(0.691955 - 3.47869i) q^{85} +(3.45152 - 0.0549324i) q^{86} +(-2.15687 - 5.20713i) q^{87} +(0.0944494 + 0.200393i) q^{88} +(-2.98468 + 7.20566i) q^{89} +(2.71521 + 1.07438i) q^{90} +(1.14333 + 1.71112i) q^{91} +(10.8969 + 10.2245i) q^{92} +(-2.60196 + 0.517563i) q^{93} +(9.97873 + 6.44027i) q^{94} +5.25446i q^{95} +(-1.10376 + 3.40899i) q^{96} +7.39898i q^{97} +(4.70357 - 7.28784i) q^{98} +(-0.199637 + 0.0397102i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 56q - 8q^{2} - 8q^{3} - 8q^{4} - 8q^{5} - 8q^{6} - 8q^{7} - 8q^{8} - 8q^{9} - 8q^{10} - 8q^{11} - 8q^{12} - 8q^{13} - 8q^{14} - 8q^{15} - 8q^{16} - 8q^{17} - 8q^{18} - 8q^{19} - 8q^{20} - 8q^{21} - 8q^{23} + 32q^{24} - 8q^{25} + 32q^{26} - 8q^{27} + 32q^{28} - 8q^{29} + 72q^{30} + 32q^{32} + 32q^{34} - 8q^{35} + 72q^{36} - 8q^{37} + 32q^{38} - 8q^{39} + 32q^{40} - 8q^{41} + 32q^{42} - 8q^{43} - 8q^{45} - 8q^{46} - 8q^{47} - 8q^{48} - 8q^{49} - 32q^{50} + 24q^{51} - 56q^{52} - 8q^{53} - 72q^{54} + 56q^{55} - 64q^{56} - 8q^{57} - 80q^{58} + 56q^{59} - 104q^{60} - 8q^{61} - 40q^{62} + 64q^{63} - 104q^{64} - 16q^{65} - 88q^{66} + 72q^{67} - 56q^{68} - 8q^{69} - 104q^{70} + 56q^{71} - 80q^{72} - 8q^{73} - 64q^{74} + 56q^{75} - 72q^{76} - 8q^{77} - 32q^{78} + 24q^{79} + 32q^{80} - 8q^{81} + 72q^{82} - 8q^{83} + 104q^{84} - 8q^{85} + 96q^{86} - 8q^{87} + 72q^{88} - 8q^{89} + 136q^{90} - 8q^{91} + 144q^{92} + 16q^{93} + 88q^{94} + 128q^{96} + 128q^{98} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(63\)
\(\chi(n)\) \(e\left(\frac{13}{16}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.297937 + 1.38247i 0.210673 + 0.977557i
\(3\) 0.123576 + 0.621259i 0.0713467 + 0.358684i 0.999922 0.0124589i \(-0.00396589\pi\)
−0.928576 + 0.371143i \(0.878966\pi\)
\(4\) −1.82247 + 0.823780i −0.911234 + 0.411890i
\(5\) 0.660623 0.441414i 0.295439 0.197406i −0.399012 0.916946i \(-0.630647\pi\)
0.694452 + 0.719539i \(0.255647\pi\)
\(6\) −0.822057 + 0.355937i −0.335603 + 0.145311i
\(7\) −0.860072 0.356253i −0.325077 0.134651i 0.214176 0.976795i \(-0.431293\pi\)
−0.539253 + 0.842144i \(0.681293\pi\)
\(8\) −1.68183 2.27408i −0.594618 0.804008i
\(9\) 2.40095 0.994505i 0.800315 0.331502i
\(10\) 0.807067 + 0.781780i 0.255217 + 0.247221i
\(11\) −0.0768198 0.0152804i −0.0231621 0.00460722i 0.183496 0.983021i \(-0.441259\pi\)
−0.206658 + 0.978413i \(0.566259\pi\)
\(12\) −0.736995 1.03043i −0.212752 0.297458i
\(13\) −1.83807 1.22816i −0.509788 0.340629i 0.273927 0.961751i \(-0.411677\pi\)
−0.783714 + 0.621121i \(0.786677\pi\)
\(14\) 0.236264 1.29517i 0.0631442 0.346148i
\(15\) 0.355870 + 0.355870i 0.0918852 + 0.0918852i
\(16\) 2.64277 3.00262i 0.660693 0.750656i
\(17\) 3.15660 3.15660i 0.765589 0.765589i −0.211738 0.977326i \(-0.567912\pi\)
0.977326 + 0.211738i \(0.0679123\pi\)
\(18\) 2.09021 + 3.02295i 0.492667 + 0.712515i
\(19\) −3.67418 + 5.49880i −0.842914 + 1.26151i 0.120290 + 0.992739i \(0.461618\pi\)
−0.963204 + 0.268771i \(0.913382\pi\)
\(20\) −0.840335 + 1.34867i −0.187905 + 0.301572i
\(21\) 0.115041 0.578352i 0.0251041 0.126207i
\(22\) −0.00176270 0.110754i −0.000375809 0.0236128i
\(23\) −2.85915 6.90260i −0.596174 1.43929i −0.877452 0.479665i \(-0.840758\pi\)
0.281277 0.959627i \(-0.409242\pi\)
\(24\) 1.20496 1.32588i 0.245961 0.270644i
\(25\) −1.67184 + 4.03618i −0.334368 + 0.807236i
\(26\) 1.15027 2.90699i 0.225586 0.570108i
\(27\) 1.97029 + 2.94875i 0.379183 + 0.567487i
\(28\) 1.86093 0.0592500i 0.351682 0.0111972i
\(29\) −8.72686 + 1.73588i −1.62054 + 0.322345i −0.920195 0.391461i \(-0.871970\pi\)
−0.700343 + 0.713806i \(0.746970\pi\)
\(30\) −0.385954 + 0.598007i −0.0704652 + 0.109181i
\(31\) 4.18821i 0.752225i 0.926574 + 0.376112i \(0.122739\pi\)
−0.926574 + 0.376112i \(0.877261\pi\)
\(32\) 4.93843 + 2.75897i 0.872999 + 0.487722i
\(33\) 0.0496134i 0.00863658i
\(34\) 5.30439 + 3.42345i 0.909695 + 0.587117i
\(35\) −0.725438 + 0.144299i −0.122621 + 0.0243909i
\(36\) −3.55639 + 3.79030i −0.592732 + 0.631717i
\(37\) 2.71234 + 4.05931i 0.445907 + 0.667346i 0.984533 0.175198i \(-0.0560566\pi\)
−0.538627 + 0.842545i \(0.681057\pi\)
\(38\) −8.69661 3.44116i −1.41078 0.558230i
\(39\) 0.535863 1.29369i 0.0858067 0.207156i
\(40\) −2.11487 0.759922i −0.334390 0.120154i
\(41\) 2.38360 + 5.75451i 0.372255 + 0.898703i 0.993368 + 0.114982i \(0.0366810\pi\)
−0.621113 + 0.783721i \(0.713319\pi\)
\(42\) 0.833832 0.0132708i 0.128663 0.00204773i
\(43\) 0.476196 2.39400i 0.0726192 0.365081i −0.927339 0.374222i \(-0.877910\pi\)
0.999958 + 0.00914095i \(0.00290970\pi\)
\(44\) 0.152589 0.0354346i 0.0230037 0.00534197i
\(45\) 1.14713 1.71680i 0.171004 0.255926i
\(46\) 8.69082 6.00924i 1.28139 0.886014i
\(47\) 5.93827 5.93827i 0.866186 0.866186i −0.125862 0.992048i \(-0.540170\pi\)
0.992048 + 0.125862i \(0.0401697\pi\)
\(48\) 2.19199 + 1.27079i 0.316387 + 0.183423i
\(49\) −4.33694 4.33694i −0.619563 0.619563i
\(50\) −6.07802 1.10875i −0.859562 0.156801i
\(51\) 2.35115 + 1.57099i 0.329227 + 0.219982i
\(52\) 4.36155 + 0.724112i 0.604838 + 0.100416i
\(53\) −1.38768 0.276027i −0.190613 0.0379152i 0.0988607 0.995101i \(-0.468480\pi\)
−0.289473 + 0.957186i \(0.593480\pi\)
\(54\) −3.48954 + 3.60242i −0.474867 + 0.490227i
\(55\) −0.0574939 + 0.0238148i −0.00775248 + 0.00321118i
\(56\) 0.636351 + 2.55503i 0.0850359 + 0.341430i
\(57\) −3.87022 1.60310i −0.512623 0.212335i
\(58\) −4.99987 11.5475i −0.656515 1.51626i
\(59\) 10.1842 6.80486i 1.32587 0.885918i 0.327606 0.944815i \(-0.393758\pi\)
0.998264 + 0.0588967i \(0.0187583\pi\)
\(60\) −0.941720 0.355403i −0.121575 0.0458823i
\(61\) 0.575578 + 2.89363i 0.0736952 + 0.370491i 0.999980 0.00633357i \(-0.00201605\pi\)
−0.926285 + 0.376824i \(0.877016\pi\)
\(62\) −5.79009 + 1.24782i −0.735342 + 0.158474i
\(63\) −2.41928 −0.304801
\(64\) −2.34286 + 7.64925i −0.292858 + 0.956156i
\(65\) −1.75639 −0.217854
\(66\) 0.0685892 0.0147817i 0.00844274 0.00181950i
\(67\) −1.81110 9.10504i −0.221262 1.11236i −0.918471 0.395489i \(-0.870575\pi\)
0.697209 0.716868i \(-0.254425\pi\)
\(68\) −3.15246 + 8.35315i −0.382292 + 1.01297i
\(69\) 3.93498 2.62927i 0.473716 0.316527i
\(70\) −0.415624 0.959907i −0.0496766 0.114731i
\(71\) 3.80374 + 1.57556i 0.451421 + 0.186985i 0.596798 0.802392i \(-0.296440\pi\)
−0.145377 + 0.989376i \(0.546440\pi\)
\(72\) −6.29958 3.78735i −0.742412 0.446343i
\(73\) 0.958083 0.396851i 0.112135 0.0464479i −0.325910 0.945401i \(-0.605671\pi\)
0.438046 + 0.898953i \(0.355671\pi\)
\(74\) −4.80378 + 4.95916i −0.558428 + 0.576491i
\(75\) −2.71412 0.539871i −0.313399 0.0623390i
\(76\) 2.16627 13.0481i 0.248488 1.49672i
\(77\) 0.0606269 + 0.0405096i 0.00690908 + 0.00461650i
\(78\) 1.94814 + 0.355379i 0.220584 + 0.0402387i
\(79\) 7.08438 + 7.08438i 0.797055 + 0.797055i 0.982630 0.185575i \(-0.0594147\pi\)
−0.185575 + 0.982630i \(0.559415\pi\)
\(80\) 0.420475 3.15016i 0.0470105 0.352198i
\(81\) 3.92436 3.92436i 0.436040 0.436040i
\(82\) −7.24529 + 5.00974i −0.800109 + 0.553233i
\(83\) −3.50145 + 5.24029i −0.384334 + 0.575196i −0.972314 0.233679i \(-0.924923\pi\)
0.587980 + 0.808875i \(0.299923\pi\)
\(84\) 0.266776 + 1.14880i 0.0291076 + 0.125344i
\(85\) 0.691955 3.47869i 0.0750530 0.377317i
\(86\) 3.45152 0.0549324i 0.372187 0.00592352i
\(87\) −2.15687 5.20713i −0.231240 0.558263i
\(88\) 0.0944494 + 0.200393i 0.0100683 + 0.0213620i
\(89\) −2.98468 + 7.20566i −0.316375 + 0.763798i 0.683065 + 0.730357i \(0.260646\pi\)
−0.999441 + 0.0334406i \(0.989354\pi\)
\(90\) 2.71521 + 1.07438i 0.286208 + 0.113250i
\(91\) 1.14333 + 1.71112i 0.119854 + 0.179374i
\(92\) 10.8969 + 10.2245i 1.13608 + 1.06597i
\(93\) −2.60196 + 0.517563i −0.269811 + 0.0536688i
\(94\) 9.97873 + 6.44027i 1.02923 + 0.664263i
\(95\) 5.25446i 0.539096i
\(96\) −1.10376 + 3.40899i −0.112652 + 0.347928i
\(97\) 7.39898i 0.751252i 0.926771 + 0.375626i \(0.122572\pi\)
−0.926771 + 0.375626i \(0.877428\pi\)
\(98\) 4.70357 7.28784i 0.475132 0.736183i
\(99\) −0.199637 + 0.0397102i −0.0200643 + 0.00399103i
\(100\) −0.278051 8.73304i −0.0278051 0.873304i
\(101\) 7.00497 + 10.4837i 0.697020 + 1.04316i 0.996039 + 0.0889173i \(0.0283407\pi\)
−0.299019 + 0.954247i \(0.596659\pi\)
\(102\) −1.47136 + 3.71846i −0.145686 + 0.368182i
\(103\) −6.29127 + 15.1885i −0.619897 + 1.49656i 0.231925 + 0.972734i \(0.425498\pi\)
−0.851822 + 0.523831i \(0.824502\pi\)
\(104\) 0.298400 + 6.24546i 0.0292605 + 0.612418i
\(105\) −0.179294 0.432854i −0.0174973 0.0422422i
\(106\) −0.0318416 2.00067i −0.00309273 0.194322i
\(107\) 1.51228 7.60273i 0.146197 0.734983i −0.836236 0.548370i \(-0.815249\pi\)
0.982433 0.186614i \(-0.0597513\pi\)
\(108\) −6.01991 3.75091i −0.579266 0.360932i
\(109\) 9.12348 13.6543i 0.873871 1.30784i −0.0766107 0.997061i \(-0.524410\pi\)
0.950482 0.310780i \(-0.100590\pi\)
\(110\) −0.0500528 0.0723885i −0.00477235 0.00690198i
\(111\) −2.18670 + 2.18670i −0.207553 + 0.207553i
\(112\) −3.34267 + 1.64098i −0.315853 + 0.155058i
\(113\) −7.16639 7.16639i −0.674158 0.674158i 0.284514 0.958672i \(-0.408168\pi\)
−0.958672 + 0.284514i \(0.908168\pi\)
\(114\) 1.06316 5.82810i 0.0995739 0.545851i
\(115\) −4.93572 3.29795i −0.460259 0.307535i
\(116\) 14.4744 10.3526i 1.34392 0.961215i
\(117\) −5.63451 1.12077i −0.520910 0.103615i
\(118\) 12.4418 + 12.0520i 1.14536 + 1.10947i
\(119\) −3.83946 + 1.59035i −0.351962 + 0.145788i
\(120\) 0.210762 1.40779i 0.0192398 0.128513i
\(121\) −10.1570 4.20717i −0.923364 0.382470i
\(122\) −3.82887 + 1.65784i −0.346650 + 0.150094i
\(123\) −3.28049 + 2.19195i −0.295792 + 0.197642i
\(124\) −3.45016 7.63287i −0.309834 0.685452i
\(125\) 1.45219 + 7.30065i 0.129888 + 0.652990i
\(126\) −0.720794 3.34459i −0.0642134 0.297960i
\(127\) −12.6480 −1.12233 −0.561166 0.827704i \(-0.689647\pi\)
−0.561166 + 0.827704i \(0.689647\pi\)
\(128\) −11.2729 0.959953i −0.996394 0.0848486i
\(129\) 1.54614 0.136130
\(130\) −0.523295 2.42817i −0.0458960 0.212964i
\(131\) −0.303754 1.52707i −0.0265391 0.133421i 0.965244 0.261349i \(-0.0841674\pi\)
−0.991783 + 0.127928i \(0.959167\pi\)
\(132\) 0.0408705 + 0.0904187i 0.00355732 + 0.00786994i
\(133\) 5.11902 3.42042i 0.443876 0.296588i
\(134\) 12.0479 5.21653i 1.04078 0.450640i
\(135\) 2.60324 + 1.07830i 0.224051 + 0.0928050i
\(136\) −12.4872 1.86948i −1.07077 0.160306i
\(137\) 5.30492 2.19737i 0.453230 0.187734i −0.144378 0.989523i \(-0.546118\pi\)
0.597608 + 0.801789i \(0.296118\pi\)
\(138\) 4.80728 + 4.65665i 0.409223 + 0.396401i
\(139\) −18.9696 3.77329i −1.60898 0.320046i −0.692899 0.721035i \(-0.743667\pi\)
−0.916083 + 0.400988i \(0.868667\pi\)
\(140\) 1.20322 0.860581i 0.101690 0.0727324i
\(141\) 4.42303 + 2.95538i 0.372487 + 0.248888i
\(142\) −1.04490 + 5.72799i −0.0876857 + 0.480682i
\(143\) 0.122433 + 0.122433i 0.0102384 + 0.0102384i
\(144\) 3.35903 9.83739i 0.279919 0.819782i
\(145\) −4.99892 + 4.99892i −0.415138 + 0.415138i
\(146\) 0.834085 + 1.20629i 0.0690294 + 0.0998331i
\(147\) 2.15842 3.23031i 0.178024 0.266431i
\(148\) −8.28714 5.16358i −0.681198 0.424444i
\(149\) 1.63597 8.22459i 0.134024 0.673785i −0.854098 0.520113i \(-0.825890\pi\)
0.988122 0.153672i \(-0.0491100\pi\)
\(150\) −0.0622778 3.91304i −0.00508496 0.319498i
\(151\) 2.47779 + 5.98190i 0.201639 + 0.486800i 0.992060 0.125764i \(-0.0401381\pi\)
−0.790421 + 0.612564i \(0.790138\pi\)
\(152\) 18.6841 0.892698i 1.51548 0.0724074i
\(153\) 4.43958 10.7181i 0.358919 0.866506i
\(154\) −0.0379405 + 0.0958844i −0.00305733 + 0.00772658i
\(155\) 1.84873 + 2.76683i 0.148494 + 0.222237i
\(156\) 0.0891216 + 2.79913i 0.00713544 + 0.224110i
\(157\) 15.1994 3.02335i 1.21304 0.241289i 0.453208 0.891405i \(-0.350279\pi\)
0.759836 + 0.650115i \(0.225279\pi\)
\(158\) −7.68327 + 11.9047i −0.611248 + 0.947085i
\(159\) 0.896221i 0.0710749i
\(160\) 4.48029 0.357253i 0.354198 0.0282433i
\(161\) 6.95532i 0.548156i
\(162\) 6.59453 + 4.25611i 0.518115 + 0.334392i
\(163\) 13.1823 2.62213i 1.03252 0.205381i 0.350384 0.936606i \(-0.386051\pi\)
0.682136 + 0.731225i \(0.261051\pi\)
\(164\) −9.08447 8.52384i −0.709378 0.665600i
\(165\) −0.0219000 0.0327757i −0.00170491 0.00255159i
\(166\) −8.28777 3.27938i −0.643256 0.254530i
\(167\) 3.50753 8.46791i 0.271420 0.655267i −0.728124 0.685445i \(-0.759608\pi\)
0.999545 + 0.0301784i \(0.00960755\pi\)
\(168\) −1.50870 + 0.711080i −0.116399 + 0.0548610i
\(169\) −3.10477 7.49557i −0.238828 0.576582i
\(170\) 5.01536 0.0798217i 0.384660 0.00612205i
\(171\) −3.35293 + 16.8563i −0.256405 + 1.28903i
\(172\) 1.10428 + 4.75526i 0.0842003 + 0.362585i
\(173\) −4.17887 + 6.25411i −0.317713 + 0.475491i −0.955612 0.294629i \(-0.904804\pi\)
0.637898 + 0.770120i \(0.279804\pi\)
\(174\) 6.55611 4.53321i 0.497018 0.343662i
\(175\) 2.87581 2.87581i 0.217391 0.217391i
\(176\) −0.248899 + 0.190278i −0.0187614 + 0.0143428i
\(177\) 5.48611 + 5.48611i 0.412361 + 0.412361i
\(178\) −10.8509 1.97941i −0.813307 0.148363i
\(179\) 4.20486 + 2.80960i 0.314286 + 0.209999i 0.702701 0.711485i \(-0.251977\pi\)
−0.388415 + 0.921485i \(0.626977\pi\)
\(180\) −0.676341 + 4.07380i −0.0504114 + 0.303643i
\(181\) −5.52166 1.09833i −0.410422 0.0816379i −0.0144385 0.999896i \(-0.504596\pi\)
−0.395983 + 0.918258i \(0.629596\pi\)
\(182\) −2.02494 + 2.09044i −0.150098 + 0.154953i
\(183\) −1.72656 + 0.715166i −0.127631 + 0.0528666i
\(184\) −10.8884 + 18.1110i −0.802706 + 1.33516i
\(185\) 3.58367 + 1.48441i 0.263477 + 0.109136i
\(186\) −1.49074 3.44295i −0.109306 0.252449i
\(187\) −0.290724 + 0.194256i −0.0212598 + 0.0142054i
\(188\) −5.93047 + 15.7141i −0.432524 + 1.14607i
\(189\) −0.644090 3.23806i −0.0468507 0.235534i
\(190\) −7.26416 + 1.56550i −0.526997 + 0.113573i
\(191\) 1.29893 0.0939871 0.0469936 0.998895i \(-0.485036\pi\)
0.0469936 + 0.998895i \(0.485036\pi\)
\(192\) −5.04169 0.510261i −0.363853 0.0368249i
\(193\) −0.155182 −0.0111702 −0.00558511 0.999984i \(-0.501778\pi\)
−0.00558511 + 0.999984i \(0.501778\pi\)
\(194\) −10.2289 + 2.20443i −0.734391 + 0.158269i
\(195\) −0.217048 1.09118i −0.0155432 0.0781407i
\(196\) 11.4766 + 4.33125i 0.819758 + 0.309375i
\(197\) −10.0765 + 6.73293i −0.717923 + 0.479701i −0.860090 0.510142i \(-0.829593\pi\)
0.142167 + 0.989843i \(0.454593\pi\)
\(198\) −0.114378 0.264161i −0.00812846 0.0187731i
\(199\) 22.3945 + 9.27612i 1.58751 + 0.657566i 0.989580 0.143985i \(-0.0459917\pi\)
0.597926 + 0.801551i \(0.295992\pi\)
\(200\) 11.9904 2.98629i 0.847846 0.211163i
\(201\) 5.43278 2.25033i 0.383199 0.158726i
\(202\) −12.4064 + 12.8077i −0.872909 + 0.901144i
\(203\) 8.12414 + 1.61599i 0.570203 + 0.113420i
\(204\) −5.57904 0.926244i −0.390611 0.0648500i
\(205\) 4.11478 + 2.74941i 0.287388 + 0.192027i
\(206\) −22.8721 4.17231i −1.59357 0.290699i
\(207\) −13.7293 13.7293i −0.954255 0.954255i
\(208\) −8.54528 + 2.27328i −0.592509 + 0.157624i
\(209\) 0.366274 0.366274i 0.0253357 0.0253357i
\(210\) 0.544990 0.376832i 0.0376079 0.0260039i
\(211\) 5.00786 7.49478i 0.344755 0.515962i −0.618057 0.786133i \(-0.712080\pi\)
0.962812 + 0.270171i \(0.0870801\pi\)
\(212\) 2.75639 0.640095i 0.189310 0.0439619i
\(213\) −0.508780 + 2.55781i −0.0348610 + 0.175258i
\(214\) 10.9611 0.174451i 0.749288 0.0119253i
\(215\) −0.742159 1.79173i −0.0506148 0.122195i
\(216\) 3.39198 9.43990i 0.230795 0.642304i
\(217\) 1.49206 3.60216i 0.101288 0.244531i
\(218\) 21.5949 + 8.54487i 1.46259 + 0.578731i
\(219\) 0.364944 + 0.546177i 0.0246606 + 0.0369072i
\(220\) 0.0851626 0.0907640i 0.00574166 0.00611931i
\(221\) −9.67885 + 1.92524i −0.651070 + 0.129506i
\(222\) −3.67456 2.37156i −0.246620 0.159169i
\(223\) 14.3604i 0.961644i −0.876818 0.480822i \(-0.840338\pi\)
0.876818 0.480822i \(-0.159662\pi\)
\(224\) −3.26451 4.13225i −0.218119 0.276097i
\(225\) 11.3533i 0.756887i
\(226\) 7.77222 12.0425i 0.517000 0.801054i
\(227\) 1.51532 0.301416i 0.100575 0.0200057i −0.144546 0.989498i \(-0.546172\pi\)
0.245121 + 0.969492i \(0.421172\pi\)
\(228\) 8.37395 0.266618i 0.554578 0.0176572i
\(229\) −10.8318 16.2109i −0.715784 1.07125i −0.993855 0.110686i \(-0.964695\pi\)
0.278071 0.960560i \(-0.410305\pi\)
\(230\) 3.08879 7.80609i 0.203669 0.514718i
\(231\) −0.0176749 + 0.0426711i −0.00116292 + 0.00280755i
\(232\) 18.6247 + 16.9261i 1.22277 + 1.11125i
\(233\) 0.955848 + 2.30762i 0.0626197 + 0.151177i 0.952092 0.305812i \(-0.0989278\pi\)
−0.889472 + 0.456989i \(0.848928\pi\)
\(234\) −0.129289 8.12348i −0.00845187 0.531048i
\(235\) 1.30172 6.54419i 0.0849149 0.426896i
\(236\) −12.9547 + 20.7912i −0.843276 + 1.35339i
\(237\) −3.52578 + 5.27670i −0.229024 + 0.342759i
\(238\) −3.34254 4.83412i −0.216665 0.313350i
\(239\) 5.93760 5.93760i 0.384072 0.384072i −0.488495 0.872567i \(-0.662454\pi\)
0.872567 + 0.488495i \(0.162454\pi\)
\(240\) 2.00903 0.128060i 0.129682 0.00826627i
\(241\) 7.45454 + 7.45454i 0.480189 + 0.480189i 0.905192 0.425003i \(-0.139727\pi\)
−0.425003 + 0.905192i \(0.639727\pi\)
\(242\) 2.79015 15.2953i 0.179358 0.983217i
\(243\) 11.7692 + 7.86396i 0.754998 + 0.504473i
\(244\) −3.43268 4.79939i −0.219755 0.307249i
\(245\) −4.77947 0.950695i −0.305349 0.0607377i
\(246\) −4.00769 3.88212i −0.255521 0.247515i
\(247\) 13.5068 5.59468i 0.859415 0.355981i
\(248\) 9.52431 7.04388i 0.604795 0.447287i
\(249\) −3.68827 1.52773i −0.233735 0.0968161i
\(250\) −9.66030 + 4.18275i −0.610971 + 0.264540i
\(251\) −13.2843 + 8.87629i −0.838498 + 0.560267i −0.899024 0.437900i \(-0.855722\pi\)
0.0605253 + 0.998167i \(0.480722\pi\)
\(252\) 4.40906 1.99296i 0.277745 0.125544i
\(253\) 0.114165 + 0.573946i 0.00717749 + 0.0360837i
\(254\) −3.76832 17.4856i −0.236445 1.09714i
\(255\) 2.24668 0.140693
\(256\) −2.03151 15.8705i −0.126969 0.991907i
\(257\) 0.502791 0.0313633 0.0156816 0.999877i \(-0.495008\pi\)
0.0156816 + 0.999877i \(0.495008\pi\)
\(258\) 0.460653 + 2.13750i 0.0286790 + 0.133075i
\(259\) −0.886668 4.45758i −0.0550949 0.276981i
\(260\) 3.20097 1.44688i 0.198516 0.0897318i
\(261\) −19.2264 + 12.8467i −1.19008 + 0.795188i
\(262\) 2.02064 0.874904i 0.124836 0.0540517i
\(263\) −26.2018 10.8532i −1.61567 0.669234i −0.622155 0.782894i \(-0.713743\pi\)
−0.993520 + 0.113660i \(0.963743\pi\)
\(264\) −0.112825 + 0.0834415i −0.00694388 + 0.00513547i
\(265\) −1.03858 + 0.430192i −0.0637992 + 0.0264265i
\(266\) 6.25379 + 6.05784i 0.383444 + 0.371430i
\(267\) −4.84542 0.963813i −0.296535 0.0589844i
\(268\) 10.8012 + 15.1017i 0.659790 + 0.922482i
\(269\) −5.76407 3.85143i −0.351442 0.234826i 0.367301 0.930102i \(-0.380282\pi\)
−0.718742 + 0.695276i \(0.755282\pi\)
\(270\) −0.715115 + 3.92017i −0.0435205 + 0.238574i
\(271\) −1.72051 1.72051i −0.104513 0.104513i 0.652917 0.757430i \(-0.273545\pi\)
−0.757430 + 0.652917i \(0.773545\pi\)
\(272\) −1.13591 17.8203i −0.0688747 1.08051i
\(273\) −0.921761 + 0.921761i −0.0557875 + 0.0557875i
\(274\) 4.61834 + 6.67923i 0.279004 + 0.403507i
\(275\) 0.190105 0.284512i 0.0114638 0.0171567i
\(276\) −5.00544 + 8.03332i −0.301292 + 0.483549i
\(277\) −3.73240 + 18.7640i −0.224258 + 1.12742i 0.690473 + 0.723358i \(0.257402\pi\)
−0.914731 + 0.404063i \(0.867598\pi\)
\(278\) −0.435275 27.3492i −0.0261061 1.64030i
\(279\) 4.16519 + 10.0557i 0.249364 + 0.602017i
\(280\) 1.54821 + 1.40702i 0.0925235 + 0.0840853i
\(281\) 2.79945 6.75847i 0.167001 0.403177i −0.818118 0.575051i \(-0.804982\pi\)
0.985119 + 0.171874i \(0.0549823\pi\)
\(282\) −2.76795 + 6.99525i −0.164829 + 0.416561i
\(283\) 5.39086 + 8.06799i 0.320453 + 0.479592i 0.956367 0.292168i \(-0.0943766\pi\)
−0.635914 + 0.771760i \(0.719377\pi\)
\(284\) −8.23010 + 0.262038i −0.488367 + 0.0155491i
\(285\) −3.26438 + 0.649326i −0.193365 + 0.0384628i
\(286\) −0.132783 + 0.205738i −0.00785164 + 0.0121655i
\(287\) 5.79845i 0.342272i
\(288\) 14.6007 + 1.71285i 0.860355 + 0.100931i
\(289\) 2.92828i 0.172252i
\(290\) −8.40024 5.42151i −0.493279 0.318362i
\(291\) −4.59668 + 0.914337i −0.269462 + 0.0535994i
\(292\) −1.41916 + 1.51250i −0.0830499 + 0.0885123i
\(293\) −5.00829 7.49544i −0.292587 0.437888i 0.655832 0.754907i \(-0.272318\pi\)
−0.948419 + 0.317019i \(0.897318\pi\)
\(294\) 5.10889 + 2.02153i 0.297956 + 0.117898i
\(295\) 3.72415 8.99089i 0.216828 0.523470i
\(296\) 4.66947 12.9952i 0.271408 0.755329i
\(297\) −0.106299 0.256629i −0.00616811 0.0148911i
\(298\) 11.8577 0.188721i 0.686898 0.0109323i
\(299\) −3.22217 + 16.1989i −0.186343 + 0.936808i
\(300\) 5.39112 1.25194i 0.311257 0.0722806i
\(301\) −1.26243 + 1.88936i −0.0727654 + 0.108901i
\(302\) −7.53160 + 5.20770i −0.433395 + 0.299670i
\(303\) −5.64743 + 5.64743i −0.324437 + 0.324437i
\(304\) 6.80080 + 25.5642i 0.390053 + 1.46621i
\(305\) 1.65753 + 1.65753i 0.0949097 + 0.0949097i
\(306\) 16.1402 + 2.94428i 0.922673 + 0.168314i
\(307\) −12.5667 8.39679i −0.717218 0.479230i 0.142632 0.989776i \(-0.454443\pi\)
−0.859851 + 0.510546i \(0.829443\pi\)
\(308\) −0.143862 0.0238842i −0.00819727 0.00136093i
\(309\) −10.2134 2.03158i −0.581022 0.115572i
\(310\) −3.27426 + 3.38017i −0.185965 + 0.191981i
\(311\) −4.26292 + 1.76576i −0.241728 + 0.100127i −0.500259 0.865876i \(-0.666762\pi\)
0.258531 + 0.966003i \(0.416762\pi\)
\(312\) −3.84318 + 0.957174i −0.217577 + 0.0541893i
\(313\) 19.1426 + 7.92911i 1.08200 + 0.448180i 0.851211 0.524824i \(-0.175869\pi\)
0.230790 + 0.973004i \(0.425869\pi\)
\(314\) 8.70816 + 20.1120i 0.491430 + 1.13499i
\(315\) −1.59823 + 1.06790i −0.0900502 + 0.0601696i
\(316\) −18.7470 7.07508i −1.05460 0.398004i
\(317\) −1.16146 5.83907i −0.0652342 0.327955i 0.934363 0.356322i \(-0.115969\pi\)
−0.999598 + 0.0283671i \(0.990969\pi\)
\(318\) 1.23900 0.267017i 0.0694798 0.0149736i
\(319\) 0.696921 0.0390201
\(320\) 1.82874 + 6.08744i 0.102229 + 0.340298i
\(321\) 4.91015 0.274058
\(322\) −9.61554 + 2.07225i −0.535853 + 0.115482i
\(323\) 5.75959 + 28.9554i 0.320472 + 1.61112i
\(324\) −3.91920 + 10.3848i −0.217734 + 0.576934i
\(325\) 8.03002 5.36549i 0.445425 0.297624i
\(326\) 7.55253 + 17.4430i 0.418296 + 0.966078i
\(327\) 9.61028 + 3.98071i 0.531450 + 0.220134i
\(328\) 9.07739 15.0986i 0.501215 0.833681i
\(329\) −7.22287 + 2.99181i −0.398210 + 0.164944i
\(330\) 0.0387867 0.0400413i 0.00213514 0.00220420i
\(331\) 25.5621 + 5.08462i 1.40502 + 0.279476i 0.838648 0.544674i \(-0.183346\pi\)
0.566372 + 0.824149i \(0.308346\pi\)
\(332\) 2.06443 12.4347i 0.113300 0.682441i
\(333\) 10.5492 + 7.04875i 0.578092 + 0.386269i
\(334\) 12.7517 + 2.32616i 0.697741 + 0.127282i
\(335\) −5.21555 5.21555i −0.284956 0.284956i
\(336\) −1.43255 1.87388i −0.0781518 0.102229i
\(337\) −14.8554 + 14.8554i −0.809225 + 0.809225i −0.984517 0.175292i \(-0.943913\pi\)
0.175292 + 0.984517i \(0.443913\pi\)
\(338\) 9.43740 6.52546i 0.513327 0.354938i
\(339\) 3.56659 5.33779i 0.193711 0.289909i
\(340\) 1.60461 + 6.90982i 0.0870223 + 0.374738i
\(341\) 0.0639976 0.321738i 0.00346566 0.0174231i
\(342\) −24.3024 + 0.386783i −1.31412 + 0.0209148i
\(343\) 4.67880 + 11.2956i 0.252632 + 0.609907i
\(344\) −6.24502 + 2.94340i −0.336709 + 0.158698i
\(345\) 1.43894 3.47391i 0.0774700 0.187029i
\(346\) −9.89119 3.91384i −0.531753 0.210409i
\(347\) −16.4814 24.6662i −0.884769 1.32415i −0.945374 0.325989i \(-0.894303\pi\)
0.0606043 0.998162i \(-0.480697\pi\)
\(348\) 8.22035 + 7.71305i 0.440657 + 0.413463i
\(349\) 31.9917 6.36355i 1.71248 0.340633i 0.761094 0.648642i \(-0.224663\pi\)
0.951384 + 0.308009i \(0.0996626\pi\)
\(350\) 4.83254 + 3.11892i 0.258310 + 0.166713i
\(351\) 7.83982i 0.418459i
\(352\) −0.337211 0.287405i −0.0179734 0.0153187i
\(353\) 33.6731i 1.79224i −0.443814 0.896119i \(-0.646375\pi\)
0.443814 0.896119i \(-0.353625\pi\)
\(354\) −5.94989 + 9.21892i −0.316233 + 0.489980i
\(355\) 3.20831 0.638172i 0.170279 0.0338707i
\(356\) −0.496395 15.5908i −0.0263089 0.826310i
\(357\) −1.46249 2.18877i −0.0774031 0.115842i
\(358\) −2.63141 + 6.65019i −0.139074 + 0.351473i
\(359\) −4.87560 + 11.7707i −0.257324 + 0.621235i −0.998760 0.0497885i \(-0.984145\pi\)
0.741436 + 0.671024i \(0.234145\pi\)
\(360\) −5.83343 + 0.278713i −0.307449 + 0.0146895i
\(361\) −9.46619 22.8534i −0.498220 1.20281i
\(362\) −0.126699 7.96078i −0.00665917 0.418409i
\(363\) 1.35858 6.83004i 0.0713070 0.358484i
\(364\) −3.49328 2.17660i −0.183097 0.114085i
\(365\) 0.457756 0.685080i 0.0239600 0.0358587i
\(366\) −1.50311 2.17386i −0.0785686 0.113629i
\(367\) −7.60045 + 7.60045i −0.396740 + 0.396740i −0.877082 0.480341i \(-0.840513\pi\)
0.480341 + 0.877082i \(0.340513\pi\)
\(368\) −28.2820 9.65705i −1.47430 0.503408i
\(369\) 11.4458 + 11.4458i 0.595843 + 0.595843i
\(370\) −0.984443 + 5.39659i −0.0511788 + 0.280555i
\(371\) 1.09517 + 0.731770i 0.0568584 + 0.0379916i
\(372\) 4.31564 3.08669i 0.223755 0.160037i
\(373\) 19.4325 + 3.86536i 1.00618 + 0.200141i 0.670558 0.741857i \(-0.266055\pi\)
0.335618 + 0.941998i \(0.391055\pi\)
\(374\) −0.355171 0.344042i −0.0183654 0.0177900i
\(375\) −4.35614 + 1.80437i −0.224950 + 0.0931775i
\(376\) −23.4913 3.51690i −1.21147 0.181370i
\(377\) 18.1725 + 7.52729i 0.935931 + 0.387675i
\(378\) 4.28463 1.85518i 0.220378 0.0954199i
\(379\) −23.2828 + 15.5571i −1.19596 + 0.799115i −0.984001 0.178164i \(-0.942984\pi\)
−0.211959 + 0.977279i \(0.567984\pi\)
\(380\) −4.32852 9.57608i −0.222048 0.491243i
\(381\) −1.56300 7.85771i −0.0800747 0.402563i
\(382\) 0.386999 + 1.79573i 0.0198006 + 0.0918777i
\(383\) 26.0613 1.33167 0.665835 0.746099i \(-0.268076\pi\)
0.665835 + 0.746099i \(0.268076\pi\)
\(384\) −0.796684 7.12203i −0.0406556 0.363445i
\(385\) 0.0579330 0.00295254
\(386\) −0.0462344 0.214535i −0.00235327 0.0109195i
\(387\) −1.23752 6.22144i −0.0629068 0.316254i
\(388\) −6.09513 13.4844i −0.309433 0.684566i
\(389\) 17.0947 11.4223i 0.866737 0.579135i −0.0407720 0.999168i \(-0.512982\pi\)
0.907509 + 0.420034i \(0.137982\pi\)
\(390\) 1.44386 0.625166i 0.0731125 0.0316565i
\(391\) −30.8140 12.7636i −1.55833 0.645481i
\(392\) −2.56852 + 17.1566i −0.129730 + 0.866537i
\(393\) 0.911172 0.377420i 0.0459626 0.0190383i
\(394\) −12.3103 11.9246i −0.620182 0.600751i
\(395\) 7.80725 + 1.55296i 0.392825 + 0.0781378i
\(396\) 0.331119 0.236827i 0.0166394 0.0119010i
\(397\) −13.8749 9.27088i −0.696359 0.465292i 0.156334 0.987704i \(-0.450032\pi\)
−0.852693 + 0.522412i \(0.825032\pi\)
\(398\) −6.15183 + 33.7235i −0.308363 + 1.69041i
\(399\) 2.75756 + 2.75756i 0.138051 + 0.138051i
\(400\) 7.70084 + 15.6866i 0.385042 + 0.784331i
\(401\) 13.1510 13.1510i 0.656731 0.656731i −0.297874 0.954605i \(-0.596277\pi\)
0.954605 + 0.297874i \(0.0962775\pi\)
\(402\) 4.72965 + 6.84022i 0.235893 + 0.341159i
\(403\) 5.14378 7.69820i 0.256230 0.383475i
\(404\) −21.4026 13.3356i −1.06482 0.663471i
\(405\) 0.860253 4.32479i 0.0427463 0.214900i
\(406\) 0.186416 + 11.7129i 0.00925166 + 0.581300i
\(407\) −0.146334 0.353281i −0.00725350 0.0175115i
\(408\) −0.381696 7.98884i −0.0188968 0.395507i
\(409\) −4.38868 + 10.5952i −0.217006 + 0.523899i −0.994469 0.105030i \(-0.966506\pi\)
0.777463 + 0.628929i \(0.216506\pi\)
\(410\) −2.57504 + 6.50772i −0.127172 + 0.321393i
\(411\) 2.02070 + 3.02419i 0.0996737 + 0.149172i
\(412\) −1.04633 32.8631i −0.0515489 1.61905i
\(413\) −11.1834 + 2.22452i −0.550299 + 0.109461i
\(414\) 14.8900 23.0709i 0.731802 1.13387i
\(415\) 5.00744i 0.245806i
\(416\) −5.68871 11.1363i −0.278912 0.546004i
\(417\) 12.2513i 0.599951i
\(418\) 0.615490 + 0.397237i 0.0301046 + 0.0194295i
\(419\) −34.0450 + 6.77197i −1.66321 + 0.330832i −0.935033 0.354560i \(-0.884631\pi\)
−0.728174 + 0.685392i \(0.759631\pi\)
\(420\) 0.683333 + 0.641163i 0.0333432 + 0.0312855i
\(421\) −4.93933 7.39223i −0.240728 0.360275i 0.691358 0.722513i \(-0.257013\pi\)
−0.932086 + 0.362238i \(0.882013\pi\)
\(422\) 11.8534 + 4.69025i 0.577013 + 0.228318i
\(423\) 8.35183 20.1631i 0.406080 0.980364i
\(424\) 1.70614 + 3.61993i 0.0828577 + 0.175799i
\(425\) 7.46328 + 18.0180i 0.362022 + 0.873999i
\(426\) −3.68769 + 0.0586912i −0.178669 + 0.00284360i
\(427\) 0.535826 2.69378i 0.0259304 0.130361i
\(428\) 3.50690 + 15.1015i 0.169513 + 0.729959i
\(429\) −0.0609330 + 0.0911926i −0.00294187 + 0.00440282i
\(430\) 2.25590 1.55984i 0.108789 0.0752220i
\(431\) −23.1336 + 23.1336i −1.11431 + 1.11431i −0.121745 + 0.992561i \(0.538849\pi\)
−0.992561 + 0.121745i \(0.961151\pi\)
\(432\) 14.0610 + 1.87683i 0.676511 + 0.0902989i
\(433\) −0.961924 0.961924i −0.0462271 0.0462271i 0.683615 0.729842i \(-0.260407\pi\)
−0.729842 + 0.683615i \(0.760407\pi\)
\(434\) 5.42443 + 0.989522i 0.260381 + 0.0474986i
\(435\) −3.72338 2.48788i −0.178522 0.119285i
\(436\) −5.37914 + 32.4002i −0.257614 + 1.55169i
\(437\) 48.4610 + 9.63950i 2.31820 + 0.461120i
\(438\) −0.646345 + 0.667252i −0.0308836 + 0.0318825i
\(439\) 20.8397 8.63209i 0.994625 0.411987i 0.174802 0.984604i \(-0.444072\pi\)
0.819823 + 0.572616i \(0.194072\pi\)
\(440\) 0.150852 + 0.0906932i 0.00719158 + 0.00432363i
\(441\) −14.7259 6.09965i −0.701232 0.290460i
\(442\) −5.54528 12.8072i −0.263762 0.609174i
\(443\) 30.4748 20.3626i 1.44790 0.967458i 0.450703 0.892674i \(-0.351173\pi\)
0.997200 0.0747837i \(-0.0238266\pi\)
\(444\) 2.18383 5.78656i 0.103640 0.274618i
\(445\) 1.20893 + 6.07770i 0.0573088 + 0.288111i
\(446\) 19.8529 4.27850i 0.940062 0.202593i
\(447\) 5.31177 0.251238
\(448\) 4.74010 5.74425i 0.223949 0.271390i
\(449\) −15.6259 −0.737431 −0.368715 0.929542i \(-0.620202\pi\)
−0.368715 + 0.929542i \(0.620202\pi\)
\(450\) −15.6957 + 3.38257i −0.739900 + 0.159456i
\(451\) −0.0951761 0.478483i −0.00448167 0.0225309i
\(452\) 18.9640 + 7.15698i 0.891994 + 0.336636i
\(453\) −3.41012 + 2.27857i −0.160221 + 0.107057i
\(454\) 0.868171 + 2.00509i 0.0407453 + 0.0941035i
\(455\) 1.51062 + 0.625721i 0.0708192 + 0.0293343i
\(456\) 2.86350 + 11.4973i 0.134096 + 0.538412i
\(457\) −34.6599 + 14.3566i −1.62132 + 0.671574i −0.994220 0.107362i \(-0.965760\pi\)
−0.627103 + 0.778936i \(0.715760\pi\)
\(458\) 19.1840 19.8045i 0.896408 0.925403i
\(459\) 15.5275 + 3.08860i 0.724759 + 0.144164i
\(460\) 11.7120 + 1.94445i 0.546074 + 0.0906602i
\(461\) 2.18684 + 1.46120i 0.101851 + 0.0680548i 0.605453 0.795881i \(-0.292992\pi\)
−0.503602 + 0.863936i \(0.667992\pi\)
\(462\) −0.0642576 0.0117218i −0.00298954 0.000545349i
\(463\) 10.3078 + 10.3078i 0.479045 + 0.479045i 0.904826 0.425781i \(-0.140001\pi\)
−0.425781 + 0.904826i \(0.640001\pi\)
\(464\) −17.8509 + 30.7910i −0.828708 + 1.42944i
\(465\) −1.49046 + 1.49046i −0.0691183 + 0.0691183i
\(466\) −2.90544 + 2.00896i −0.134592 + 0.0930633i
\(467\) −6.02523 + 9.01739i −0.278814 + 0.417275i −0.944275 0.329158i \(-0.893235\pi\)
0.665461 + 0.746433i \(0.268235\pi\)
\(468\) 11.1920 2.59902i 0.517349 0.120140i
\(469\) −1.68602 + 8.47620i −0.0778532 + 0.391394i
\(470\) 9.43500 0.150162i 0.435204 0.00692647i
\(471\) 3.75657 + 9.06916i 0.173094 + 0.417885i
\(472\) −32.6029 11.7150i −1.50067 0.539227i
\(473\) −0.0731626 + 0.176630i −0.00336402 + 0.00812146i
\(474\) −8.34536 3.30217i −0.383315 0.151674i
\(475\) −16.0515 24.0228i −0.736493 1.10224i
\(476\) 5.68718 6.06124i 0.260671 0.277816i
\(477\) −3.60626 + 0.717330i −0.165119 + 0.0328443i
\(478\) 9.97761 + 6.43955i 0.456365 + 0.294538i
\(479\) 31.1948i 1.42533i 0.701506 + 0.712663i \(0.252511\pi\)
−0.701506 + 0.712663i \(0.747489\pi\)
\(480\) 0.775604 + 2.73927i 0.0354013 + 0.125030i
\(481\) 10.7925i 0.492094i
\(482\) −8.08472 + 12.5267i −0.368249 + 0.570575i
\(483\) −4.32106 + 0.859511i −0.196615 + 0.0391091i
\(484\) 21.9766 0.699712i 0.998936 0.0318051i
\(485\) 3.26601 + 4.88793i 0.148302 + 0.221950i
\(486\) −7.36522 + 18.6136i −0.334093 + 0.844332i
\(487\) −10.8455 + 26.1834i −0.491458 + 1.18648i 0.462520 + 0.886609i \(0.346945\pi\)
−0.953978 + 0.299876i \(0.903055\pi\)
\(488\) 5.61230 6.17551i 0.254057 0.279552i
\(489\) 3.25804 + 7.86562i 0.147334 + 0.355695i
\(490\) −0.109669 6.89073i −0.00495435 0.311292i
\(491\) 3.12805 15.7257i 0.141167 0.709693i −0.843760 0.536721i \(-0.819663\pi\)
0.984927 0.172972i \(-0.0553371\pi\)
\(492\) 4.17289 6.69716i 0.188129 0.301931i
\(493\) −22.0678 + 33.0267i −0.993882 + 1.48745i
\(494\) 11.7587 + 17.0059i 0.529048 + 0.765131i
\(495\) −0.114356 + 0.114356i −0.00513992 + 0.00513992i
\(496\) 12.5756 + 11.0685i 0.564662 + 0.496990i
\(497\) −2.71019 2.71019i −0.121569 0.121569i
\(498\) 1.01318 5.55411i 0.0454016 0.248886i
\(499\) −15.3516 10.2576i −0.687232 0.459194i 0.162293 0.986743i \(-0.448111\pi\)
−0.849525 + 0.527549i \(0.823111\pi\)
\(500\) −8.66070 12.1089i −0.387318 0.541527i
\(501\) 5.69422 + 1.13265i 0.254399 + 0.0506031i
\(502\) −16.2291 15.7206i −0.724342 0.701646i
\(503\) −29.9129 + 12.3903i −1.33375 + 0.552457i −0.931723 0.363171i \(-0.881694\pi\)
−0.402027 + 0.915628i \(0.631694\pi\)
\(504\) 4.06883 + 5.50164i 0.181240 + 0.245062i
\(505\) 9.25528 + 3.83366i 0.411855 + 0.170596i
\(506\) −0.759451 + 0.328830i −0.0337617 + 0.0146183i
\(507\) 4.27302 2.85514i 0.189771 0.126801i
\(508\) 23.0506 10.4192i 1.02271 0.462277i
\(509\) −6.36934 32.0209i −0.282316 1.41930i −0.818164 0.574985i \(-0.805008\pi\)
0.535848 0.844315i \(-0.319992\pi\)
\(510\) 0.669369 + 3.10598i 0.0296402 + 0.137535i
\(511\) −0.965400 −0.0427068
\(512\) 21.3353 7.53692i 0.942896 0.333088i
\(513\) −23.4538 −1.03551
\(514\) 0.149800 + 0.695096i 0.00660740 + 0.0306594i
\(515\) 2.54825 + 12.8109i 0.112289 + 0.564516i
\(516\) −2.81779 + 1.27368i −0.124046 + 0.0560706i
\(517\) −0.546916 + 0.365438i −0.0240533 + 0.0160719i
\(518\) 5.89832 2.55387i 0.259157 0.112211i
\(519\) −4.40184 1.82330i −0.193219 0.0800340i
\(520\) 2.95396 + 3.99418i 0.129540 + 0.175156i
\(521\) −18.6410 + 7.72136i −0.816677 + 0.338279i −0.751615 0.659602i \(-0.770725\pi\)
−0.0650626 + 0.997881i \(0.520725\pi\)
\(522\) −23.4884 22.7525i −1.02806 0.995849i
\(523\) −8.92581 1.77545i −0.390298 0.0776352i −0.00395965 0.999992i \(-0.501260\pi\)
−0.386339 + 0.922357i \(0.626260\pi\)
\(524\) 1.81155 + 2.53282i 0.0791381 + 0.110647i
\(525\) 2.14200 + 1.43124i 0.0934847 + 0.0624645i
\(526\) 7.19771 39.4569i 0.313835 1.72040i
\(527\) 13.2205 + 13.2205i 0.575895 + 0.575895i
\(528\) −0.148970 0.131117i −0.00648310 0.00570613i
\(529\) −23.2077 + 23.2077i −1.00903 + 1.00903i
\(530\) −0.904160 1.30763i −0.0392742 0.0568000i
\(531\) 17.6842 26.4663i 0.767431 1.14854i
\(532\) −6.51157 + 10.4506i −0.282313 + 0.453089i
\(533\) 2.68623 13.5046i 0.116354 0.584949i
\(534\) −0.111182 6.98582i −0.00481133 0.302306i
\(535\) −2.35691 5.69007i −0.101898 0.246003i
\(536\) −17.6596 + 19.4318i −0.762778 + 0.839324i
\(537\) −1.22587 + 2.95951i −0.0529001 + 0.127712i
\(538\) 3.60717 9.11616i 0.155516 0.393025i
\(539\) 0.266893 + 0.399433i 0.0114959 + 0.0172048i
\(540\) −5.63259 + 0.179336i −0.242388 + 0.00771739i
\(541\) 11.9947 2.38590i 0.515694 0.102578i 0.0696193 0.997574i \(-0.477822\pi\)
0.446075 + 0.894996i \(0.352822\pi\)
\(542\) 1.86595 2.89116i 0.0801495 0.124186i
\(543\) 3.56611i 0.153036i
\(544\) 24.2976 6.87969i 1.04175 0.294964i
\(545\) 13.0475i 0.558895i
\(546\) −1.54894 0.999684i −0.0662884 0.0427825i
\(547\) 18.4104 3.66207i 0.787174 0.156579i 0.214894 0.976637i \(-0.431059\pi\)
0.572279 + 0.820059i \(0.306059\pi\)
\(548\) −7.85789 + 8.37472i −0.335672 + 0.357750i
\(549\) 4.25965 + 6.37502i 0.181798 + 0.272079i
\(550\) 0.449970 + 0.178049i 0.0191868 + 0.00759202i
\(551\) 22.5188 54.3652i 0.959333 2.31603i
\(552\) −12.5972 4.52646i −0.536171 0.192659i
\(553\) −3.56924 8.61691i −0.151780 0.366428i
\(554\) −27.0528 + 0.430558i −1.14936 + 0.0182926i
\(555\) −0.479344 + 2.40983i −0.0203470 + 0.102291i
\(556\) 37.6799 8.75010i 1.59798 0.371087i
\(557\) −13.1089 + 19.6188i −0.555442 + 0.831277i −0.997850 0.0655364i \(-0.979124\pi\)
0.442409 + 0.896814i \(0.354124\pi\)
\(558\) −12.6607 + 8.75422i −0.535971 + 0.370596i
\(559\) −3.81548 + 3.81548i −0.161378 + 0.161378i
\(560\) −1.48389 + 2.55957i −0.0627060 + 0.108161i
\(561\) −0.156610 0.156610i −0.00661206 0.00661206i
\(562\) 10.1775 + 1.85657i 0.429311 + 0.0783146i
\(563\) 7.15885 + 4.78339i 0.301710 + 0.201596i 0.697205 0.716872i \(-0.254427\pi\)
−0.395495 + 0.918468i \(0.629427\pi\)
\(564\) −10.4954 1.74247i −0.441937 0.0733712i
\(565\) −7.89763 1.57094i −0.332256 0.0660898i
\(566\) −9.54765 + 9.85647i −0.401318 + 0.414298i
\(567\) −4.77330 + 1.97716i −0.200460 + 0.0830331i
\(568\) −2.81431 11.2998i −0.118086 0.474130i
\(569\) −1.38195 0.572423i −0.0579344 0.0239972i 0.353528 0.935424i \(-0.384982\pi\)
−0.411462 + 0.911427i \(0.634982\pi\)
\(570\) −1.87026 4.31947i −0.0783365 0.180923i
\(571\) 4.83659 3.23171i 0.202405 0.135243i −0.450237 0.892909i \(-0.648661\pi\)
0.652642 + 0.757666i \(0.273661\pi\)
\(572\) −0.323989 0.122272i −0.0135466 0.00511247i
\(573\) 0.160517 + 0.806971i 0.00670567 + 0.0337117i
\(574\) 8.01621 1.72757i 0.334590 0.0721076i
\(575\) 32.6402 1.36119
\(576\) 1.98212 + 20.6954i 0.0825884 + 0.862309i
\(577\) 29.0642 1.20996 0.604980 0.796241i \(-0.293181\pi\)
0.604980 + 0.796241i \(0.293181\pi\)
\(578\) 4.04827 0.872444i 0.168386 0.0362889i
\(579\) −0.0191768 0.0964081i −0.000796959 0.00400658i
\(580\) 4.99236 13.2284i 0.207296 0.549279i
\(581\) 4.87837 3.25962i 0.202389 0.135232i
\(582\) −2.63357 6.08238i −0.109165 0.252123i
\(583\) 0.102384 + 0.0424087i 0.00424030 + 0.00175639i
\(584\) −2.51381 1.51132i −0.104022 0.0625388i
\(585\) −4.21701 + 1.74674i −0.174352 + 0.0722189i
\(586\) 8.87009 9.15700i 0.366420 0.378272i
\(587\) 23.8821 + 4.75045i 0.985720 + 0.196072i 0.661529 0.749920i \(-0.269908\pi\)
0.324191 + 0.945992i \(0.394908\pi\)
\(588\) −1.27259 + 7.66520i −0.0524808 + 0.316107i
\(589\) −23.0301 15.3882i −0.948939 0.634061i
\(590\) 13.5392 + 2.46982i 0.557402 + 0.101681i
\(591\) −5.42811 5.42811i −0.223283 0.223283i
\(592\) 19.3567 + 2.58368i 0.795555 + 0.106189i
\(593\) 14.2745 14.2745i 0.586184 0.586184i −0.350412 0.936596i \(-0.613958\pi\)
0.936596 + 0.350412i \(0.113958\pi\)
\(594\) 0.323113 0.223415i 0.0132575 0.00916684i
\(595\) −1.83443 + 2.74541i −0.0752042 + 0.112551i
\(596\) 3.79375 + 16.3367i 0.155398 + 0.669178i
\(597\) −2.99544 + 15.0591i −0.122595 + 0.616329i
\(598\) −23.3546 + 0.371699i −0.955040 + 0.0151999i
\(599\) 4.20762 + 10.1581i 0.171919 + 0.415048i 0.986230 0.165380i \(-0.0528851\pi\)
−0.814311 + 0.580428i \(0.802885\pi\)
\(600\) 3.33699 + 7.08009i 0.136232 + 0.289043i
\(601\) −3.87269 + 9.34950i −0.157970 + 0.381374i −0.982972 0.183756i \(-0.941174\pi\)
0.825001 + 0.565131i \(0.191174\pi\)
\(602\) −2.98812 1.18237i −0.121787 0.0481898i
\(603\) −13.4034 20.0595i −0.545827 0.816888i
\(604\) −9.44346 8.86067i −0.384249 0.360536i
\(605\) −8.56705 + 1.70409i −0.348300 + 0.0692812i
\(606\) −9.49001 6.12485i −0.385505 0.248805i
\(607\) 11.7468i 0.476790i −0.971168 0.238395i \(-0.923379\pi\)
0.971168 0.238395i \(-0.0766212\pi\)
\(608\) −33.3157 + 17.0185i −1.35113 + 0.690190i
\(609\) 5.24690i 0.212615i
\(610\) −1.79765 + 2.78532i −0.0727846 + 0.112775i
\(611\) −18.2081 + 3.62181i −0.736619 + 0.146523i
\(612\) 0.738365 + 23.1906i 0.0298466 + 0.937425i
\(613\) −4.23332 6.33562i −0.170982 0.255893i 0.736075 0.676900i \(-0.236677\pi\)
−0.907058 + 0.421007i \(0.861677\pi\)
\(614\) 7.86426 19.8748i 0.317376 0.802082i
\(615\) −1.19961 + 2.89611i −0.0483728 + 0.116782i
\(616\) −0.00984243 0.206001i −0.000396563 0.00830001i
\(617\) 5.69105 + 13.7394i 0.229113 + 0.553128i 0.996070 0.0885706i \(-0.0282299\pi\)
−0.766957 + 0.641699i \(0.778230\pi\)
\(618\) −0.234356 14.7251i −0.00942720 0.592330i
\(619\) 6.79342 34.1528i 0.273051 1.37272i −0.564083 0.825718i \(-0.690770\pi\)
0.837133 0.546999i \(-0.184230\pi\)
\(620\) −5.64851 3.51950i −0.226850 0.141346i
\(621\) 14.7207 22.0310i 0.590720 0.884076i
\(622\) −3.71120 5.36729i −0.148805 0.215209i
\(623\) 5.13408 5.13408i 0.205693 0.205693i
\(624\) −2.46829 5.02791i −0.0988108 0.201278i
\(625\) −11.2638 11.2638i −0.450553 0.450553i
\(626\) −5.25850 + 28.8265i −0.210172 + 1.15214i
\(627\) 0.272814 + 0.182288i 0.0108951 + 0.00727989i
\(628\) −25.2098 + 18.0309i −1.00598 + 0.719512i
\(629\) 21.3754 + 4.25184i 0.852294 + 0.169532i
\(630\) −1.95252 1.89135i −0.0777904 0.0753530i
\(631\) 22.6667 9.38886i 0.902348 0.373765i 0.117225 0.993105i \(-0.462600\pi\)
0.785122 + 0.619341i \(0.212600\pi\)
\(632\) 4.19568 28.0252i 0.166895 1.11478i
\(633\) 5.27506 + 2.18500i 0.209665 + 0.0868460i
\(634\) 7.72631 3.34537i 0.306851 0.132861i
\(635\) −8.35558 + 5.58302i −0.331581 + 0.221555i
\(636\) 0.738289 + 1.63333i 0.0292751 + 0.0647659i
\(637\) 2.64514 + 13.2980i 0.104804 + 0.526887i
\(638\) 0.207639 + 0.963475i 0.00822049 + 0.0381444i
\(639\) 10.6995 0.423265
\(640\) −7.87088 + 4.34185i −0.311124 + 0.171627i
\(641\) 8.35272 0.329913 0.164956 0.986301i \(-0.447252\pi\)
0.164956 + 0.986301i \(0.447252\pi\)
\(642\) 1.46291 + 6.78815i 0.0577366 + 0.267907i
\(643\) 6.43579 + 32.3549i 0.253803 + 1.27595i 0.871835 + 0.489800i \(0.162930\pi\)
−0.618032 + 0.786153i \(0.712070\pi\)
\(644\) −5.72965 12.6758i −0.225780 0.499498i
\(645\) 1.02142 0.682488i 0.0402182 0.0268729i
\(646\) −38.3141 + 16.5894i −1.50745 + 0.652701i
\(647\) −28.0926 11.6363i −1.10443 0.457471i −0.245416 0.969418i \(-0.578924\pi\)
−0.859017 + 0.511947i \(0.828924\pi\)
\(648\) −15.5244 2.32417i −0.609857 0.0913022i
\(649\) −0.886330 + 0.367130i −0.0347915 + 0.0144111i
\(650\) 9.81008 + 9.50271i 0.384783 + 0.372727i
\(651\) 2.42226 + 0.481818i 0.0949359 + 0.0188839i
\(652\) −21.8643 + 15.6381i −0.856272 + 0.612435i
\(653\) 0.322282 + 0.215342i 0.0126119 + 0.00842699i 0.561860 0.827232i \(-0.310086\pi\)
−0.549248 + 0.835659i \(0.685086\pi\)
\(654\) −2.63997 + 14.4720i −0.103231 + 0.565899i
\(655\) −0.874738 0.874738i −0.0341789 0.0341789i
\(656\) 23.5779 + 8.05081i 0.920563 + 0.314331i
\(657\) 1.90564 1.90564i 0.0743460 0.0743460i
\(658\) −6.28806 9.09405i −0.245134 0.354523i
\(659\) −9.34933 + 13.9923i −0.364198 + 0.545061i −0.967636 0.252349i \(-0.918797\pi\)
0.603438 + 0.797410i \(0.293797\pi\)
\(660\) 0.0669121 + 0.0416918i 0.00260455 + 0.00162285i
\(661\) −4.92746 + 24.7720i −0.191656 + 0.963520i 0.758483 + 0.651693i \(0.225941\pi\)
−0.950139 + 0.311827i \(0.899059\pi\)
\(662\) 0.586546 + 36.8538i 0.0227967 + 1.43237i
\(663\) −2.39215 5.77516i −0.0929034 0.224289i
\(664\) 17.8057 0.850731i 0.690994 0.0330148i
\(665\) 1.87192 4.51922i 0.0725900 0.175248i
\(666\) −6.60171 + 16.6841i −0.255811 + 0.646494i
\(667\) 36.9335 + 55.2749i 1.43007 + 2.14025i
\(668\) 0.583351 + 18.3219i 0.0225705 + 0.708897i
\(669\) 8.92154 1.77461i 0.344927 0.0686102i
\(670\) 5.65645 8.76426i 0.218528 0.338593i
\(671\) 0.231083i 0.00892086i
\(672\) 2.16378 2.53876i 0.0834697 0.0979346i
\(673\) 0.530719i 0.0204577i −0.999948 0.0102289i \(-0.996744\pi\)
0.999948 0.0102289i \(-0.00325600\pi\)
\(674\) −24.9632 16.1112i −0.961545 0.620581i
\(675\) −15.1957 + 3.02261i −0.584883 + 0.116340i
\(676\) 11.8330 + 11.1028i 0.455117 + 0.427030i
\(677\) −3.06951 4.59384i −0.117971 0.176556i 0.767785 0.640708i \(-0.221359\pi\)
−0.885755 + 0.464152i \(0.846359\pi\)
\(678\) 8.44197 + 3.34040i 0.324212 + 0.128287i
\(679\) 2.63591 6.36365i 0.101157 0.244215i
\(680\) −9.07457 + 4.27703i −0.347994 + 0.164016i
\(681\) 0.374516 + 0.904160i 0.0143515 + 0.0346475i
\(682\) 0.463861 0.00738256i 0.0177622 0.000282693i
\(683\) −2.76547 + 13.9029i −0.105818 + 0.531981i 0.891119 + 0.453769i \(0.149921\pi\)
−0.996937 + 0.0782118i \(0.975079\pi\)
\(684\) −7.77529 33.4821i −0.297296 1.28022i
\(685\) 2.53460 3.79330i 0.0968421 0.144934i
\(686\) −14.2219 + 9.83371i −0.542996 + 0.375453i
\(687\) 8.73263 8.73263i 0.333171 0.333171i
\(688\) −5.92980 7.75663i −0.226072 0.295719i
\(689\) 2.21165 + 2.21165i 0.0842570 + 0.0842570i
\(690\) 5.23131 + 0.954292i 0.199152 + 0.0363293i
\(691\) −11.1224 7.43176i −0.423117 0.282717i 0.325727 0.945464i \(-0.394391\pi\)
−0.748844 + 0.662746i \(0.769391\pi\)
\(692\) 2.46383 14.8404i 0.0936607 0.564147i
\(693\) 0.185849 + 0.0369676i 0.00705982 + 0.00140428i
\(694\) 29.1899 30.1341i 1.10803 1.14388i
\(695\) −14.1973 + 5.88073i −0.538536 + 0.223069i
\(696\) −8.21394 + 13.6624i −0.311348 + 0.517873i
\(697\) 25.6888 + 10.6406i 0.973031 + 0.403043i
\(698\) 18.3290 + 42.3318i 0.693761 + 1.60228i
\(699\) −1.31551 + 0.878997i −0.0497572 + 0.0332467i
\(700\) −2.87203 + 7.61010i −0.108553 + 0.287635i
\(701\) 0.624967 + 3.14192i 0.0236047 + 0.118669i 0.990791 0.135399i \(-0.0432315\pi\)
−0.967187 + 0.254067i \(0.918232\pi\)
\(702\) 10.8383 2.33577i 0.409067 0.0881581i
\(703\) −32.2869 −1.21773
\(704\) 0.296862 0.551814i 0.0111884 0.0207973i
\(705\) 4.22650 0.159179
\(706\) 46.5522 10.0325i 1.75201 0.377577i
\(707\) −2.28993 11.5123i −0.0861217 0.432963i
\(708\) −14.5176 5.47891i −0.545605 0.205910i
\(709\) −2.84972 + 1.90412i −0.107023 + 0.0715107i −0.607930 0.793991i \(-0.708000\pi\)
0.500907 + 0.865501i \(0.333000\pi\)
\(710\) 1.83813 + 4.24527i 0.0689838 + 0.159322i
\(711\) 24.0547 + 9.96377i 0.902121 + 0.373671i
\(712\) 21.4060 5.33133i 0.802222 0.199800i
\(713\) 28.9095 11.9747i 1.08267 0.448457i
\(714\) 2.59019 2.67397i 0.0969353 0.100071i
\(715\) 0.134926 + 0.0268384i 0.00504594 + 0.00100370i
\(716\) −9.97771 1.65652i −0.372884 0.0619070i
\(717\) 4.42254 + 2.95505i 0.165163 + 0.110358i
\(718\) −17.7253 3.23345i −0.661504 0.120671i
\(719\) 9.77983 + 9.77983i 0.364726 + 0.364726i 0.865549 0.500823i \(-0.166969\pi\)
−0.500823 + 0.865549i \(0.666969\pi\)
\(720\) −2.12331 7.98153i −0.0791311 0.297454i
\(721\) 10.8219 10.8219i 0.403028 0.403028i
\(722\) 28.7739 19.8956i 1.07085 0.740438i
\(723\) −3.71000 + 5.55240i −0.137976 + 0.206496i
\(724\) 10.9678 2.54697i 0.407616 0.0946574i
\(725\) 7.58360 38.1253i 0.281648 1.41594i
\(726\) 9.84713 0.156721i 0.365461 0.00581648i
\(727\) −10.3584 25.0074i −0.384172 0.927474i −0.991149 0.132754i \(-0.957618\pi\)
0.606977 0.794720i \(-0.292382\pi\)
\(728\) 1.96832 5.47785i 0.0729509 0.203023i
\(729\) 2.94038 7.09871i 0.108903 0.262915i
\(730\) 1.08349 + 0.428725i 0.0401017 + 0.0158678i
\(731\) −6.05374 9.06006i −0.223906 0.335099i
\(732\) 2.55747 2.72568i 0.0945267 0.100744i
\(733\) −28.0369 + 5.57688i −1.03557 + 0.205987i −0.683471 0.729978i \(-0.739530\pi\)
−0.352094 + 0.935964i \(0.614530\pi\)
\(734\) −12.7719 8.24297i −0.471419 0.304253i
\(735\) 3.08677i 0.113857i
\(736\) 4.92436 41.9763i 0.181514 1.54727i
\(737\) 0.727122i 0.0267839i
\(738\) −12.4134 + 19.2336i −0.456942 + 0.707998i
\(739\) 17.0617 3.39378i 0.627624 0.124842i 0.128977 0.991648i \(-0.458831\pi\)
0.498647 + 0.866805i \(0.333831\pi\)
\(740\) −7.75395 + 0.246878i −0.285041 + 0.00907540i
\(741\) 5.14487 + 7.69984i 0.189001 + 0.282861i
\(742\) −0.685360 + 1.73207i −0.0251604 + 0.0635861i
\(743\) −11.8271 + 28.5530i −0.433893 + 1.04751i 0.544128 + 0.839002i \(0.316861\pi\)
−0.978021 + 0.208507i \(0.933139\pi\)
\(744\) 5.55305 + 5.04662i 0.203585 + 0.185018i
\(745\) −2.54969 6.15549i −0.0934134 0.225520i
\(746\) 0.445896 + 28.0165i 0.0163254 + 1.02576i
\(747\) −3.19530 + 16.0638i −0.116910 + 0.587746i
\(748\) 0.369811 0.593517i 0.0135216 0.0217011i
\(749\) −4.00916 + 6.00014i −0.146492 + 0.219240i
\(750\) −3.79236 5.48467i −0.138477 0.200272i
\(751\) −4.92726 + 4.92726i −0.179798 + 0.179798i −0.791268 0.611470i \(-0.790579\pi\)
0.611470 + 0.791268i \(0.290579\pi\)
\(752\) −2.13690 33.5239i −0.0779247 1.22249i
\(753\) −7.15611 7.15611i −0.260783 0.260783i
\(754\) −4.99202 + 27.3656i −0.181799 + 0.996598i
\(755\) 4.27738 + 2.85805i 0.155670 + 0.104015i
\(756\) 3.84128 + 5.37067i 0.139706 + 0.195329i
\(757\) −41.6002 8.27479i −1.51198 0.300752i −0.631705 0.775209i \(-0.717645\pi\)
−0.880279 + 0.474456i \(0.842645\pi\)
\(758\) −28.4441 27.5529i −1.03314 1.00077i
\(759\) −0.342461 + 0.141852i −0.0124306 + 0.00514890i
\(760\) 11.9491 8.83714i 0.433438 0.320557i
\(761\) −29.3553 12.1594i −1.06413 0.440777i −0.219214 0.975677i \(-0.570349\pi\)
−0.844915 + 0.534900i \(0.820349\pi\)
\(762\) 10.3974 4.50190i 0.376658 0.163087i
\(763\) −12.7112 + 8.49337i −0.460177 + 0.307481i
\(764\) −2.36725 + 1.07003i −0.0856442 + 0.0387124i
\(765\) −1.79823 9.04030i −0.0650151 0.326853i
\(766\) 7.76462 + 36.0291i 0.280547 + 1.30178i
\(767\) −27.0767 −0.977682
\(768\) 9.60866 3.22331i 0.346723 0.116311i
\(769\) 27.7099 0.999245 0.499623 0.866243i \(-0.333472\pi\)
0.499623 + 0.866243i \(0.333472\pi\)
\(770\) 0.0172604 + 0.0800908i 0.000622021 + 0.00288627i
\(771\) 0.0621330 + 0.312364i 0.00223767 + 0.0112495i
\(772\) 0.282814 0.127836i 0.0101787 0.00460090i