Properties

Label 804.2.bd.a.23.12
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.12
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.33789 + 0.458299i) q^{2} +(0.594255 - 1.62692i) q^{3} +(1.57992 - 1.22631i) q^{4} +(-1.29680 + 0.592230i) q^{5} +(-0.0494359 + 2.44899i) q^{6} +(-3.42631 - 3.59341i) q^{7} +(-1.55175 + 2.36475i) q^{8} +(-2.29372 - 1.93361i) q^{9} +O(q^{10})\) \(q+(-1.33789 + 0.458299i) q^{2} +(0.594255 - 1.62692i) q^{3} +(1.57992 - 1.22631i) q^{4} +(-1.29680 + 0.592230i) q^{5} +(-0.0494359 + 2.44899i) q^{6} +(-3.42631 - 3.59341i) q^{7} +(-1.55175 + 2.36475i) q^{8} +(-2.29372 - 1.93361i) q^{9} +(1.46357 - 1.38666i) q^{10} +(-3.18208 - 0.303852i) q^{11} +(-1.05623 - 3.29915i) q^{12} +(6.15441 + 1.18617i) q^{13} +(6.23090 + 3.23733i) q^{14} +(0.192878 + 2.46173i) q^{15} +(0.992319 - 3.87496i) q^{16} +(0.341061 - 0.661567i) q^{17} +(3.95493 + 1.53575i) q^{18} +(-0.192852 + 0.202257i) q^{19} +(-1.32259 + 2.52596i) q^{20} +(-7.88228 + 3.43892i) q^{21} +(4.39655 - 1.05182i) q^{22} +(-6.89104 + 2.75876i) q^{23} +(2.92512 + 3.92984i) q^{24} +(-1.94334 + 2.24274i) q^{25} +(-8.77757 + 1.23360i) q^{26} +(-4.50888 + 2.58264i) q^{27} +(-9.81995 - 1.47559i) q^{28} +(5.39619 + 3.11549i) q^{29} +(-1.38626 - 3.20513i) q^{30} +(0.554866 + 2.87892i) q^{31} +(0.448272 + 5.63906i) q^{32} +(-2.38531 + 4.99642i) q^{33} +(-0.153109 + 1.04141i) q^{34} +(6.57137 + 2.63078i) q^{35} +(-5.99511 - 0.242136i) q^{36} +(-2.95598 - 5.11991i) q^{37} +(0.165321 - 0.358983i) q^{38} +(5.58709 - 9.30784i) q^{39} +(0.611841 - 3.98561i) q^{40} +(2.97048 - 0.141502i) q^{41} +(8.96961 - 8.21335i) q^{42} +(4.43005 + 6.89330i) q^{43} +(-5.40007 + 3.42216i) q^{44} +(4.11964 + 1.14910i) q^{45} +(7.95515 - 6.84909i) q^{46} +(-6.45258 - 5.07437i) q^{47} +(-5.71455 - 3.91714i) q^{48} +(-0.839925 + 17.6322i) q^{49} +(1.57214 - 3.89118i) q^{50} +(-0.873637 - 0.948018i) q^{51} +(11.1781 - 5.67318i) q^{52} +(0.671456 - 1.04481i) q^{53} +(4.84878 - 5.52171i) q^{54} +(4.30648 - 1.49049i) q^{55} +(13.8143 - 2.52629i) q^{56} +(0.214453 + 0.433947i) q^{57} +(-8.64736 - 1.69513i) q^{58} +(1.33605 + 1.54189i) q^{59} +(3.32358 + 3.65281i) q^{60} +(-5.19752 + 0.496303i) q^{61} +(-2.06176 - 3.59739i) q^{62} +(0.910752 + 14.8674i) q^{63} +(-3.18412 - 7.33903i) q^{64} +(-8.68354 + 2.10660i) q^{65} +(0.901440 - 7.77787i) q^{66} +(-7.16049 + 3.96578i) q^{67} +(-0.272436 - 1.46347i) q^{68} +(0.393233 + 12.8506i) q^{69} +(-9.99748 - 0.508053i) q^{70} +(10.0208 - 5.16610i) q^{71} +(8.13180 - 2.42360i) q^{72} +(-16.2714 + 1.55373i) q^{73} +(6.30124 + 5.49518i) q^{74} +(2.49391 + 4.49442i) q^{75} +(-0.0566609 + 0.556048i) q^{76} +(9.81093 + 12.4756i) q^{77} +(-3.20916 + 15.0135i) q^{78} +(2.03399 - 0.703971i) q^{79} +(1.00802 + 5.61274i) q^{80} +(1.52232 + 8.87032i) q^{81} +(-3.90934 + 1.55068i) q^{82} +(3.86820 - 5.43213i) q^{83} +(-8.23622 + 15.0994i) q^{84} +(-0.0504897 + 1.05991i) q^{85} +(-9.08614 - 7.19221i) q^{86} +(8.27537 - 6.92776i) q^{87} +(5.65634 - 7.05334i) q^{88} +(-15.2669 + 2.19505i) q^{89} +(-6.03828 + 0.350658i) q^{90} +(-16.8245 - 26.1795i) q^{91} +(-7.50423 + 12.8092i) q^{92} +(5.01349 + 0.808090i) q^{93} +(10.9585 + 3.83175i) q^{94} +(0.130308 - 0.376500i) q^{95} +(9.44068 + 2.62174i) q^{96} +(2.13540 + 3.69862i) q^{97} +(-6.95708 - 23.9749i) q^{98} +(6.71128 + 6.84985i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.33789 + 0.458299i −0.946034 + 0.324066i
\(3\) 0.594255 1.62692i 0.343093 0.939301i
\(4\) 1.57992 1.22631i 0.789962 0.613156i
\(5\) −1.29680 + 0.592230i −0.579948 + 0.264853i −0.683716 0.729748i \(-0.739637\pi\)
0.103768 + 0.994602i \(0.466910\pi\)
\(6\) −0.0494359 + 2.44899i −0.0201821 + 0.999796i
\(7\) −3.42631 3.59341i −1.29502 1.35818i −0.897765 0.440474i \(-0.854810\pi\)
−0.397257 0.917707i \(1.36996\pi\)
\(8\) −1.55175 + 2.36475i −0.548628 + 0.836067i
\(9\) −2.29372 1.93361i −0.764574 0.644536i
\(10\) 1.46357 1.38666i 0.462820 0.438502i
\(11\) −3.18208 0.303852i −0.959434 0.0916148i −0.396426 0.918067i \(-0.629750\pi\)
−0.563008 + 0.826452i \(0.690356\pi\)
\(12\) −1.05623 3.29915i −0.304907 0.952382i
\(13\) 6.15441 + 1.18617i 1.70693 + 0.328983i 0.947051 0.321084i \(-0.104047\pi\)
0.759876 + 0.650068i \(0.225259\pi\)
\(14\) 6.23090 + 3.23733i 1.66528 + 0.865212i
\(15\) 0.192878 + 2.46173i 0.0498008 + 0.635615i
\(16\) 0.992319 3.87496i 0.248080 0.968740i
\(17\) 0.341061 0.661567i 0.0827195 0.160454i −0.843848 0.536583i \(-0.819715\pi\)
0.926567 + 0.376129i \(0.122745\pi\)
\(18\) 3.95493 + 1.53575i 0.932186 + 0.361981i
\(19\) −0.192852 + 0.202257i −0.0442433 + 0.0464010i −0.745484 0.666524i \(-0.767781\pi\)
0.701240 + 0.712925i \(0.252630\pi\)
\(20\) −1.32259 + 2.52596i −0.295740 + 0.564822i
\(21\) −7.88228 + 3.43892i −1.72005 + 0.750434i
\(22\) 4.39655 1.05182i 0.937347 0.224250i
\(23\) −6.89104 + 2.75876i −1.43688 + 0.575241i −0.953829 0.300350i \(-0.902896\pi\)
−0.483053 + 0.875591i \(0.660472\pi\)
\(24\) 2.92512 + 3.92984i 0.597088 + 0.802176i
\(25\) −1.94334 + 2.24274i −0.388669 + 0.448548i
\(26\) −8.77757 + 1.23360i −1.72142 + 0.241928i
\(27\) −4.50888 + 2.58264i −0.867734 + 0.497029i
\(28\) −9.81995 1.47559i −1.85580 0.278860i
\(29\) 5.39619 + 3.11549i 1.00205 + 0.578533i 0.908854 0.417115i \(-0.136959\pi\)
0.0931942 + 0.995648i \(0.470292\pi\)
\(30\) −1.38626 3.20513i −0.253095 0.585175i
\(31\) 0.554866 + 2.87892i 0.0996568 + 0.517069i 0.997111 + 0.0759605i \(0.0242023\pi\)
−0.897454 + 0.441108i \(0.854586\pi\)
\(32\) 0.448272 + 5.63906i 0.0792440 + 0.996855i
\(33\) −2.38531 + 4.99642i −0.415229 + 0.869765i
\(34\) −0.153109 + 1.04141i −0.0262579 + 0.178601i
\(35\) 6.57137 + 2.63078i 1.11076 + 0.444683i
\(36\) −5.99511 0.242136i −0.999185 0.0403561i
\(37\) −2.95598 5.11991i −0.485960 0.841708i 0.513910 0.857844i \(-0.328197\pi\)
−0.999870 + 0.0161365i \(0.994863\pi\)
\(38\) 0.165321 0.358983i 0.0268186 0.0582347i
\(39\) 5.58709 9.30784i 0.894650 1.49045i
\(40\) 0.611841 3.98561i 0.0967405 0.630181i
\(41\) 2.97048 0.141502i 0.463912 0.0220988i 0.185675 0.982611i \(-0.440553\pi\)
0.278237 + 0.960512i \(0.410250\pi\)
\(42\) 8.96961 8.21335i 1.38404 1.26735i
\(43\) 4.43005 + 6.89330i 0.675577 + 1.05122i 0.994631 + 0.103482i \(0.0329983\pi\)
−0.319055 + 0.947736i \(0.603365\pi\)
\(44\) −5.40007 + 3.42216i −0.814091 + 0.515910i
\(45\) 4.11964 + 1.14910i 0.614120 + 0.171297i
\(46\) 7.95515 6.84909i 1.17292 1.00984i
\(47\) −6.45258 5.07437i −0.941206 0.740172i 0.0245303 0.999699i \(-0.492191\pi\)
−0.965736 + 0.259527i \(0.916433\pi\)
\(48\) −5.71455 3.91714i −0.824824 0.565390i
\(49\) −0.839925 + 17.6322i −0.119989 + 2.51888i
\(50\) 1.57214 3.89118i 0.222335 0.550296i
\(51\) −0.873637 0.948018i −0.122334 0.132749i
\(52\) 11.1781 5.67318i 1.55013 0.786728i
\(53\) 0.671456 1.04481i 0.0922315 0.143515i −0.792072 0.610428i \(-0.790997\pi\)
0.884303 + 0.466913i \(0.154634\pi\)
\(54\) 4.84878 5.52171i 0.659836 0.751410i
\(55\) 4.30648 1.49049i 0.580686 0.200977i
\(56\) 13.8143 2.52629i 1.84602 0.337590i
\(57\) 0.214453 + 0.433947i 0.0284050 + 0.0574776i
\(58\) −8.64736 1.69513i −1.13545 0.222582i
\(59\) 1.33605 + 1.54189i 0.173939 + 0.200736i 0.836025 0.548692i \(-0.184874\pi\)
−0.662086 + 0.749428i \(0.730329\pi\)
\(60\) 3.32358 + 3.65281i 0.429072 + 0.471576i
\(61\) −5.19752 + 0.496303i −0.665474 + 0.0635451i −0.422326 0.906444i \(-0.638786\pi\)
−0.243148 + 0.969989i \(0.578180\pi\)
\(62\) −2.06176 3.59739i −0.261843 0.456869i
\(63\) 0.910752 + 14.8674i 0.114744 + 1.87312i
\(64\) −3.18412 7.33903i −0.398015 0.917379i
\(65\) −8.68354 + 2.10660i −1.07706 + 0.261292i
\(66\) 0.901440 7.77787i 0.110960 0.957390i
\(67\) −7.16049 + 3.96578i −0.874793 + 0.484497i
\(68\) −0.272436 1.46347i −0.0330377 0.177472i
\(69\) 0.393233 + 12.8506i 0.0473397 + 1.54703i
\(70\) −9.99748 0.508053i −1.19493 0.0607239i
\(71\) 10.0208 5.16610i 1.18926 0.613104i 0.254044 0.967193i \(-0.418239\pi\)
0.935212 + 0.354089i \(0.115209\pi\)
\(72\) 8.13180 2.42360i 0.958342 0.285624i
\(73\) −16.2714 + 1.55373i −1.90442 + 0.181850i −0.979929 0.199348i \(-0.936118\pi\)
−0.924493 + 0.381198i \(0.875512\pi\)
\(74\) 6.30124 + 5.49518i 0.732504 + 0.638801i
\(75\) 2.49391 + 4.49442i 0.287972 + 0.518971i
\(76\) −0.0566609 + 0.556048i −0.00649945 + 0.0637831i
\(77\) 9.81093 + 12.4756i 1.11806 + 1.42173i
\(78\) −3.20916 + 15.0135i −0.363366 + 1.69994i
\(79\) 2.03399 0.703971i 0.228842 0.0792029i −0.210241 0.977650i \(-0.567425\pi\)
0.439082 + 0.898447i \(0.355304\pi\)
\(80\) 1.00802 + 5.61274i 0.112701 + 0.627523i
\(81\) 1.52232 + 8.87032i 0.169146 + 0.985591i
\(82\) −3.90934 + 1.55068i −0.431715 + 0.171244i
\(83\) 3.86820 5.43213i 0.424590 0.596253i −0.545765 0.837939i \(-0.683761\pi\)
0.970355 + 0.241685i \(0.0777001\pi\)
\(84\) −8.23622 + 15.0994i −0.898645 + 1.64748i
\(85\) −0.0504897 + 1.05991i −0.00547637 + 0.114963i
\(86\) −9.08614 7.19221i −0.979783 0.775556i
\(87\) 8.27537 6.92776i 0.887212 0.742734i
\(88\) 5.65634 7.05334i 0.602968 0.751888i
\(89\) −15.2669 + 2.19505i −1.61829 + 0.232675i −0.891116 0.453776i \(-0.850077\pi\)
−0.727176 + 0.686451i \(0.759168\pi\)
\(90\) −6.03828 + 0.350658i −0.636491 + 0.0369626i
\(91\) −16.8245 26.1795i −1.76369 2.74436i
\(92\) −7.50423 + 12.8092i −0.782370 + 1.33545i
\(93\) 5.01349 + 0.808090i 0.519875 + 0.0837950i
\(94\) 10.9585 + 3.83175i 1.13028 + 0.395215i
\(95\) 0.130308 0.376500i 0.0133693 0.0386281i
\(96\) 9.44068 + 2.62174i 0.963536 + 0.267580i
\(97\) 2.13540 + 3.69862i 0.216817 + 0.375538i 0.953833 0.300337i \(-0.0970992\pi\)
−0.737016 + 0.675875i \(0.763766\pi\)
\(98\) −6.95708 23.9749i −0.702772 2.42183i
\(99\) 6.71128 + 6.84985i 0.674509 + 0.688436i
\(100\) −0.320039 + 5.92650i −0.0320039 + 0.592650i
\(101\) −10.5810 2.56693i −1.05285 0.255419i −0.328254 0.944590i \(-0.606460\pi\)
−0.724600 + 0.689170i \(0.757975\pi\)
\(102\) 1.60331 + 0.867961i 0.158751 + 0.0859410i
\(103\) 0.0926553 + 0.480741i 0.00912960 + 0.0473688i 0.986208 0.165512i \(-0.0529276\pi\)
−0.977078 + 0.212881i \(0.931715\pi\)
\(104\) −12.3551 + 12.7130i −1.21152 + 1.24662i
\(105\) 8.18513 9.12772i 0.798787 0.890774i
\(106\) −0.419503 + 1.70557i −0.0407458 + 0.165659i
\(107\) −2.89170 + 6.33194i −0.279551 + 0.612131i −0.996370 0.0851279i \(-0.972870\pi\)
0.716819 + 0.697259i \(0.245597\pi\)
\(108\) −3.95656 + 9.60966i −0.380720 + 0.924690i
\(109\) 1.11902 1.29142i 0.107183 0.123696i −0.699623 0.714512i \(-0.746649\pi\)
0.806806 + 0.590816i \(0.201194\pi\)
\(110\) −5.07853 + 3.96777i −0.484219 + 0.378312i
\(111\) −10.0863 + 1.76660i −0.957347 + 0.167679i
\(112\) −17.3243 + 9.71100i −1.63699 + 0.917603i
\(113\) 9.43433 6.71815i 0.887507 0.631991i −0.0426753 0.999089i \(-0.513588\pi\)
0.930182 + 0.367098i \(0.119649\pi\)
\(114\) −0.485792 0.482291i −0.0454986 0.0451707i
\(115\) 7.30250 7.65865i 0.680962 0.714172i
\(116\) 12.3461 1.69517i 1.14631 0.157393i
\(117\) −11.8229 14.6210i −1.09303 1.35171i
\(118\) −2.49414 1.45057i −0.229604 0.133536i
\(119\) −3.54586 + 1.04116i −0.325049 + 0.0954429i
\(120\) −6.12067 3.36389i −0.558739 0.307079i
\(121\) −0.767892 0.147999i −0.0698083 0.0134545i
\(122\) 6.72628 3.04602i 0.608969 0.275774i
\(123\) 1.53501 4.91682i 0.138408 0.443335i
\(124\) 4.40709 + 3.86803i 0.395769 + 0.347359i
\(125\) 3.20015 10.8987i 0.286230 0.974811i
\(126\) −8.03221 19.4736i −0.715567 1.73485i
\(127\) −11.7284 12.3004i −1.04073 1.09148i −0.995713 0.0924960i \(-0.970515\pi\)
−0.0450133 0.998986i \(1.48567\pi\)
\(128\) 7.62349 + 8.35957i 0.673827 + 0.738889i
\(129\) 13.8474 3.11095i 1.21920 0.273904i
\(130\) 10.6522 6.79807i 0.934260 0.596230i
\(131\) −1.98674 + 13.8181i −0.173582 + 1.20729i 0.697657 + 0.716432i \(0.254226\pi\)
−0.871239 + 0.490859i \(0.836683\pi\)
\(132\) 2.35856 + 10.8191i 0.205286 + 0.941682i
\(133\) 1.38756 0.120317
\(134\) 7.76247 8.58744i 0.670575 0.741842i
\(135\) 4.31761 6.01946i 0.371600 0.518073i
\(136\) 1.03520 + 1.83312i 0.0887676 + 0.157188i
\(137\) −3.75621 0.540062i −0.320915 0.0461406i −0.0200249 0.999799i \(-0.506375\pi\)
−0.300890 + 0.953659i \(0.597284\pi\)
\(138\) −6.41551 17.0125i −0.546124 1.44820i
\(139\) −3.90056 + 1.78133i −0.330841 + 0.151090i −0.573909 0.818919i \(-0.694574\pi\)
0.243067 + 0.970009i \(0.421846\pi\)
\(140\) 13.6084 3.90212i 1.15012 0.329789i
\(141\) −12.0901 + 7.48235i −1.01817 + 0.630127i
\(142\) −11.0392 + 11.5042i −0.926390 + 0.965415i
\(143\) −19.2234 5.64451i −1.60754 0.472018i
\(144\) −9.76876 + 6.96932i −0.814063 + 0.580777i
\(145\) −8.84288 0.844393i −0.734361 0.0701230i
\(146\) 21.0573 9.53589i 1.74272 0.789196i
\(147\) 28.1870 + 11.8445i 2.32482 + 0.976918i
\(148\) −10.9488 4.46411i −0.899988 0.366948i
\(149\) −2.51684 8.57156i −0.206187 0.702209i −0.996039 0.0889121i \(-0.971661\pi\)
0.789852 0.613297i \(-0.210157\pi\)
\(150\) −5.39637 4.87010i −0.440612 0.397642i
\(151\) −7.01835 + 13.6137i −0.571145 + 1.10787i 0.409543 + 0.912291i \(0.365688\pi\)
−0.980688 + 0.195576i \(0.937342\pi\)
\(152\) −0.179030 0.769901i −0.0145212 0.0624472i
\(153\) −2.06151 + 0.857971i −0.166663 + 0.0693628i
\(154\) −18.8436 12.1947i −1.51846 0.982678i
\(155\) −2.42453 3.40478i −0.194743 0.273478i
\(156\) −2.58714 21.5572i −0.207137 1.72596i
\(157\) 4.45319 1.78279i 0.355403 0.142282i −0.187089 0.982343i \(-0.559905\pi\)
0.542492 + 0.840061i \(0.317481\pi\)
\(158\) −2.39863 + 1.87401i −0.190825 + 0.149089i
\(159\) −1.30080 1.71328i −0.103160 0.135872i
\(160\) −3.92094 7.04727i −0.309978 0.557136i
\(161\) 33.5242 + 15.3100i 2.64208 + 1.20660i
\(162\) −6.10196 11.1699i −0.479415 0.877588i
\(163\) 9.67793 + 5.58756i 0.758034 + 0.437651i 0.828590 0.559857i \(-0.189144\pi\)
−0.0705552 + 0.997508i \(0.522477\pi\)
\(164\) 4.51961 3.86630i 0.352923 0.301907i
\(165\) 0.134248 7.89202i 0.0104512 0.614393i
\(166\) −2.68571 + 9.04041i −0.208451 + 0.701672i
\(167\) 1.72199 7.09813i 0.133252 0.549270i −0.865572 0.500784i \(-0.833045\pi\)
0.998824 0.0484863i \(-0.0154397\pi\)
\(168\) 4.09917 23.9760i 0.316257 1.84979i
\(169\) 24.4010 + 9.76870i 1.87700 + 0.751438i
\(170\) −0.418205 1.44118i −0.0320749 0.110534i
\(171\) 0.833435 0.0910218i 0.0637344 0.00696061i
\(172\) 15.4525 + 5.45826i 1.17824 + 0.416188i
\(173\) −12.8184 4.43650i −0.974566 0.337301i −0.207050 0.978330i \(-0.566386\pi\)
−0.767516 + 0.641030i \(0.778508\pi\)
\(174\) −7.89658 + 13.0612i −0.598638 + 0.990168i
\(175\) 14.7176 0.701084i 1.11254 0.0529970i
\(176\) −4.33505 + 12.0289i −0.326767 + 0.906714i
\(177\) 3.30248 1.25737i 0.248229 0.0945098i
\(178\) 19.4196 9.93357i 1.45556 0.744553i
\(179\) 0.839590 + 5.83948i 0.0627539 + 0.436463i 0.996841 + 0.0794187i \(0.0253064\pi\)
−0.934087 + 0.357044i \(0.883784\pi\)
\(180\) 7.91788 3.23648i 0.590164 0.241233i
\(181\) 0.892237 + 0.701663i 0.0663195 + 0.0521542i 0.650768 0.759276i \(-0.274447\pi\)
−0.584449 + 0.811430i \(0.698689\pi\)
\(182\) 34.5075 + 27.3147i 2.55787 + 2.02470i
\(183\) −2.28121 + 8.75087i −0.168632 + 0.646883i
\(184\) 4.16942 20.5765i 0.307374 1.51692i
\(185\) 6.86549 + 4.88889i 0.504761 + 0.359438i
\(186\) −7.07787 + 1.21654i −0.518974 + 0.0892009i
\(187\) −1.28630 + 2.00153i −0.0940639 + 0.146366i
\(188\) −16.4173 0.104236i −1.19736 0.00760217i
\(189\) 24.7293 + 7.35332i 1.79879 + 0.534876i
\(190\) −0.00178865 + 0.563438i −0.000129762 + 0.0408761i
\(191\) 8.87627 6.98038i 0.642265 0.505082i −0.243087 0.970004i \(-0.578160\pi\)
0.885352 + 0.464922i \(0.153918\pi\)
\(192\) −13.8322 + 0.819041i −0.998252 + 0.0591092i
\(193\) −12.3347 14.2350i −0.887872 1.02466i −0.999522 0.0309109i \(-0.990159\pi\)
0.111651 0.993748i \(-0.464386\pi\)
\(194\) −4.55202 3.96971i −0.326816 0.285009i
\(195\) −1.73297 + 15.3793i −0.124100 + 1.10133i
\(196\) 20.2955 + 28.8875i 1.44968 + 2.06339i
\(197\) −9.64062 18.7002i −0.686866 1.33233i −0.931863 0.362810i \(-0.881818\pi\)
0.244998 0.969524i \(-0.421213\pi\)
\(198\) −12.1183 6.08861i −0.861208 0.432699i
\(199\) −6.04987 + 1.46768i −0.428864 + 0.104041i −0.444380 0.895838i \(-0.646576\pi\)
0.0155162 + 0.999880i \(0.495061\pi\)
\(200\) −2.28793 8.07571i −0.161781 0.571039i
\(201\) 2.19684 + 14.0062i 0.154953 + 0.987922i
\(202\) 15.3327 1.41500i 1.07881 0.0995588i
\(203\) −7.29378 30.0654i −0.511923 2.11018i
\(204\) −2.54285 0.426445i −0.178035 0.0298571i
\(205\) −3.76833 + 1.94271i −0.263192 + 0.135685i
\(206\) −0.344286 0.600717i −0.0239876 0.0418540i
\(207\) 21.1405 + 6.99676i 1.46937 + 0.486308i
\(208\) 10.7035 22.6710i 0.742153 1.57195i
\(209\) 0.675127 0.585001i 0.0466995 0.0404654i
\(210\) −6.76762 + 15.9632i −0.467010 + 1.10156i
\(211\) −5.13580 6.53070i −0.353563 0.449592i 0.576443 0.817138i \(-0.304440\pi\)
−0.930005 + 0.367546i \(0.880198\pi\)
\(212\) −0.220408 2.47413i −0.0151377 0.169924i
\(213\) −2.44989 19.3731i −0.167864 1.32742i
\(214\) 0.966867 9.79673i 0.0660937 0.669690i
\(215\) −9.82732 6.31563i −0.670218 0.430723i
\(216\) 0.889364 14.6700i 0.0605135 0.998167i
\(217\) 8.44398 11.8579i 0.573215 0.804968i
\(218\) −0.905278 + 2.24063i −0.0613132 + 0.151755i
\(219\) −7.14157 + 27.3955i −0.482582 + 1.85122i
\(220\) 4.97611 7.63595i 0.335489 0.514816i
\(221\) 2.88376 3.66700i 0.193983 0.246669i
\(222\) 12.6847 6.98606i 0.851344 0.468874i
\(223\) 2.26456 0.325595i 0.151646 0.0218035i −0.0660735 0.997815i \(-0.521047\pi\)
0.217720 + 0.976011i \(0.430138\pi\)
\(224\) 18.7275 20.9320i 1.25129 1.39858i
\(225\) 8.79406 1.38655i 0.586271 0.0924367i
\(226\) −9.54321 + 13.3119i −0.634805 + 0.885496i
\(227\) −0.422346 8.86613i −0.0280321 0.588466i −0.968565 0.248762i \(-0.919976\pi\)
0.940532 0.339704i \(1.88967\pi\)
\(228\) 0.870973 + 0.422617i 0.0576816 + 0.0279885i
\(229\) 2.40322 6.94366i 0.158810 0.458850i −0.837324 0.546708i \(-0.815881\pi\)
0.996133 + 0.0878578i \(0.0280021\pi\)
\(230\) −6.26003 + 13.5932i −0.412774 + 0.896309i
\(231\) 26.1270 8.54788i 1.71903 0.562409i
\(232\) −15.7409 + 7.92619i −1.03344 + 0.520380i
\(233\) 5.78568 14.4519i 0.379033 0.946778i −0.609089 0.793102i \(-0.708465\pi\)
0.988121 0.153676i \(-0.0491111\pi\)
\(234\) 22.5186 + 14.1429i 1.47209 + 0.924548i
\(235\) 11.3729 + 2.75904i 0.741887 + 0.179980i
\(236\) 4.00169 + 0.797646i 0.260488 + 0.0519223i
\(237\) 0.0634066 3.72747i 0.00411870 0.242125i
\(238\) 4.26683 3.01803i 0.276577 0.195630i
\(239\) −9.34980 + 16.1943i −0.604788 + 1.04752i 0.387297 + 0.921955i \(0.373409\pi\)
−0.992085 + 0.125569i \(0.959924\pi\)
\(240\) 9.73048 + 1.69543i 0.628100 + 0.109439i
\(241\) 4.96441 10.8706i 0.319786 0.700234i −0.679660 0.733528i \(-0.737872\pi\)
0.999446 + 0.0332939i \(0.0105997\pi\)
\(242\) 1.09519 0.153917i 0.0704012 0.00989416i
\(243\) 15.3359 + 2.79455i 0.983800 + 0.179270i
\(244\) −7.60306 + 7.15790i −0.486736 + 0.458238i
\(245\) −9.35309 23.3629i −0.597547 1.49260i
\(246\) 0.199687 + 7.28168i 0.0127316 + 0.464263i
\(247\) −1.42680 + 1.01602i −0.0907852 + 0.0646478i
\(248\) −7.66894 3.15525i −0.486978 0.200358i
\(249\) −6.53893 9.52131i −0.414388 0.603389i
\(250\) 0.713406 + 16.0480i 0.0451198 + 1.01496i
\(251\) −11.8096 6.08825i −0.745413 0.384287i 0.0432891 0.999063i \(-0.486216\pi\)
−0.788702 + 0.614775i \(0.789247\pi\)
\(252\) 19.6710 + 22.3725i 1.23916 + 1.40934i
\(253\) 22.7661 6.68474i 1.43129 0.420266i
\(254\) 21.3286 + 11.0815i 1.33828 + 0.695315i
\(255\) 1.69438 + 0.711999i 0.106106 + 0.0445871i
\(256\) −14.0306 7.69039i −0.876913 0.480649i
\(257\) 0.236303 2.47468i 0.0147402 0.154366i −0.985105 0.171953i \(-0.944992\pi\)
0.999845 + 0.0175868i \(0.00559834\pi\)
\(258\) −17.1006 + 10.5084i −1.06464 + 0.654223i
\(259\) −8.26983 + 28.1644i −0.513862 + 1.75005i
\(260\) −11.1360 + 13.9770i −0.690624 + 0.866817i
\(261\) −6.35322 17.5802i −0.393254 1.08819i
\(262\) −3.67476 19.3977i −0.227028 1.19839i
\(263\) 1.29807 + 2.84238i 0.0800426 + 0.175269i 0.945422 0.325848i \(-0.105650\pi\)
−0.865379 + 0.501117i \(0.832923\pi\)
\(264\) −8.11389 13.3939i −0.499375 0.824337i
\(265\) −0.251980 + 1.75256i −0.0154790 + 0.107659i
\(266\) −1.85641 + 0.635919i −0.113824 + 0.0389907i
\(267\) −5.50128 + 26.1425i −0.336673 + 1.59989i
\(268\) −6.44974 + 15.0466i −0.393981 + 0.919119i
\(269\) 24.2806i 1.48041i 0.672380 + 0.740206i \(0.265272\pi\)
−0.672380 + 0.740206i \(0.734728\pi\)
\(270\) −3.01779 + 10.0322i −0.183657 + 0.610538i
\(271\) 19.2962 + 2.77437i 1.17216 + 0.168531i 0.700765 0.713392i \(-0.252842\pi\)
0.471394 + 0.881923i \(0.343751\pi\)
\(272\) −2.22510 1.97808i −0.134917 0.119939i
\(273\) −52.5899 + 11.8148i −3.18289 + 0.715066i
\(274\) 5.27292 0.998923i 0.318549 0.0603471i
\(275\) 6.86534 6.54609i 0.413996 0.394744i
\(276\) 16.3801 + 19.8207i 0.985965 + 1.19307i
\(277\) −3.57024 1.04832i −0.214515 0.0629872i 0.172709 0.984973i \(-0.444748\pi\)
−0.387224 + 0.921986i \(0.626566\pi\)
\(278\) 4.40216 4.17085i 0.264024 0.250151i
\(279\) 4.29399 7.67632i 0.257074 0.459569i
\(280\) −16.4183 + 11.4573i −0.981181 + 0.684707i
\(281\) −4.80575 + 24.9346i −0.286687 + 1.48747i 0.497780 + 0.867303i \(0.334149\pi\)
−0.784467 + 0.620171i \(0.787063\pi\)
\(282\) 12.7461 15.5515i 0.759017 0.926076i
\(283\) −0.327832 1.11649i −0.0194876 0.0663685i 0.949175 0.314748i \(-0.101920\pi\)
−0.968663 + 0.248380i \(0.920102\pi\)
\(284\) 9.49692 20.4507i 0.563538 1.21353i
\(285\) −0.535099 0.435738i −0.0316965 0.0258109i
\(286\) 28.3058 1.25832i 1.67376 0.0744062i
\(287\) −10.6863 10.1893i −0.630790 0.601457i
\(288\) 9.87553 13.8012i 0.581921 0.813245i
\(289\) 9.53962 + 13.3965i 0.561154 + 0.788031i
\(290\) 12.2178 2.92298i 0.717456 0.171643i
\(291\) 7.28632 1.27619i 0.427132 0.0748119i
\(292\) −23.8022 + 22.4086i −1.39292 + 1.31136i
\(293\) −15.0107 13.0069i −0.876935 0.759869i 0.0949106 0.995486i \(-0.469743\pi\)
−0.971846 + 0.235617i \(0.924289\pi\)
\(294\) −43.1395 2.92863i −2.51595 0.170801i
\(295\) −2.64574 1.20827i −0.154041 0.0703483i
\(296\) 16.6943 + 0.954673i 0.970335 + 0.0554893i
\(297\) 15.1324 6.84814i 0.878069 0.397369i
\(298\) 7.29560 + 10.3144i 0.422623 + 0.597496i
\(299\) −45.6827 + 8.80461i −2.64190 + 0.509184i
\(300\) 9.45174 + 4.04253i 0.545697 + 0.233396i
\(301\) 9.59171 39.5376i 0.552857 2.27891i
\(302\) 3.15067 21.4302i 0.181300 1.23317i
\(303\) −10.4640 + 15.6891i −0.601143 + 0.901314i
\(304\) 0.592368 + 0.947997i 0.0339746 + 0.0543714i
\(305\) 6.44623 3.72173i 0.369110 0.213106i
\(306\) 2.36488 2.09266i 0.135191 0.119630i
\(307\) −31.3624 10.8546i −1.78995 0.619507i −0.999980 0.00635696i \(-0.997977\pi\)
−0.789967 0.613150i \(1.21010\pi\)
\(308\) 30.7995 + 7.67926i 1.75497 + 0.437567i
\(309\) 0.837187 + 0.134940i 0.0476259 + 0.00767649i
\(310\) 4.80417 + 3.44407i 0.272859 + 0.195610i
\(311\) 9.48122 6.09321i 0.537630 0.345514i −0.243481 0.969906i \(-0.578289\pi\)
0.781112 + 0.624392i \(0.214653\pi\)
\(312\) 13.3410 + 27.6556i 0.755283 + 1.56569i
\(313\) −2.42856 16.8910i −0.137270 0.954736i −0.935737 0.352698i \(-0.885264\pi\)
0.798467 0.602039i \(-0.205645\pi\)
\(314\) −5.14085 + 4.42607i −0.290115 + 0.249778i
\(315\) −9.98599 18.7407i −0.562647 1.05592i
\(316\) 2.35026 3.60653i 0.132213 0.202883i
\(317\) −14.1686 0.674935i −0.795789 0.0379081i −0.354251 0.935150i \(-0.615264\pi\)
−0.441538 + 0.897242i \(0.645567\pi\)
\(318\) 2.52552 + 1.69604i 0.141624 + 0.0951092i
\(319\) −16.2245 11.5534i −0.908397 0.646866i
\(320\) 8.47557 + 7.63154i 0.473799 + 0.426616i
\(321\) 8.58313 + 8.46734i 0.479064 + 0.472601i
\(322\) −51.8684 5.11904i −2.89051 0.285273i
\(323\) 0.0680324 + 0.196567i 0.00378542 + 0.0109373i
\(324\) 13.2829 + 12.1476i 0.737940 + 0.674866i
\(325\) −14.6204 + 11.4976i −0.810994 + 0.637772i
\(326\) −15.5088 3.04018i −0.858955 0.168380i
\(327\) −1.43605 2.58799i −0.0794138 0.143116i
\(328\) −4.27484 + 7.24404i −0.236039 + 0.399985i
\(329\) 3.87426 + 40.5731i 0.213595 + 2.23687i
\(330\) 3.43730 + 10.6202i 0.189217 + 0.584624i
\(331\) −1.07170 2.07882i −0.0589062 0.114262i 0.857544 0.514410i \(-0.171989\pi\)
−0.916451 + 0.400148i \(0.868959\pi\)
\(332\) −0.550020 13.3260i −0.0301862 0.731357i
\(333\) −3.11970 + 17.4594i −0.170959 + 0.956767i
\(334\) 0.949229 + 10.2857i 0.0519395 + 0.562811i
\(335\) 6.93709 9.38349i 0.379013 0.512675i
\(336\) 5.50393 + 33.9560i 0.300264 + 1.85245i
\(337\) 7.26668 + 29.9537i 0.395841 + 1.63168i 0.725958 + 0.687739i \(0.241397\pi\)
−0.330116 + 0.943940i \(0.607088\pi\)
\(338\) −37.1230 1.88652i −2.01922 0.102613i
\(339\) −5.32348 19.3412i −0.289132 1.05047i
\(340\) 1.22001 + 1.73649i 0.0661642 + 0.0941744i
\(341\) −0.890863 9.32954i −0.0482430 0.505223i
\(342\) −1.07333 + 0.503740i −0.0580392 + 0.0272391i
\(343\) 39.9709 34.6350i 2.15823 1.87011i
\(344\) −23.1753 0.220718i −1.24953 0.0119003i
\(345\) −8.12043 16.4318i −0.437190 0.884656i
\(346\) 19.1829 + 0.0608968i 1.03128 + 0.00327383i
\(347\) −2.04598 5.91147i −0.109834 0.317345i 0.876667 0.481097i \(-0.159761\pi\)
−0.986501 + 0.163752i \(0.947640\pi\)
\(348\) 4.57885 21.0935i 0.245452 1.13073i
\(349\) −15.8868 10.2098i −0.850401 0.546520i 0.0412985 0.999147i \(-0.486851\pi\)
−0.891700 + 0.452627i \(0.850487\pi\)
\(350\) −19.3692 + 7.68302i −1.03533 + 0.410675i
\(351\) −30.8129 + 10.5464i −1.64467 + 0.562923i
\(352\) 0.287003 18.0802i 0.0152973 0.963677i
\(353\) 12.7927 + 0.609389i 0.680884 + 0.0324345i 0.385175 0.922843i \(-0.374141\pi\)
0.295709 + 0.955278i \(0.404444\pi\)
\(354\) −3.84211 + 3.19575i −0.204206 + 0.169852i
\(355\) −9.93553 + 12.6341i −0.527323 + 0.670546i
\(356\) −21.4288 + 22.1900i −1.13572 + 1.17607i
\(357\) −0.413267 + 6.38754i −0.0218724 + 0.338064i
\(358\) −3.79951 7.42782i −0.200810 0.392573i
\(359\) 11.2549 7.23307i 0.594010 0.381747i −0.208821 0.977954i \(-0.566963\pi\)
0.802831 + 0.596207i \(0.203326\pi\)
\(360\) −9.11001 + 7.95883i −0.480140 + 0.419467i
\(361\) 0.900340 + 18.9005i 0.0473863 + 0.994761i
\(362\) −1.51529 0.529840i −0.0796419 0.0278478i
\(363\) −0.697106 + 1.16135i −0.0365886 + 0.0609549i
\(364\) −58.6857 20.7295i −3.07597 1.08652i
\(365\) 20.1806 11.6513i 1.05630 0.609856i
\(366\) −0.958497 12.7532i −0.0501015 0.666621i
\(367\) 7.88698 19.7007i 0.411697 1.02837i −0.567120 0.823635i \(-0.691943\pi\)
0.978817 0.204735i \(-0.0656332\pi\)
\(368\) 3.85196 + 29.4401i 0.200797 + 1.53467i
\(369\) −7.08707 5.41919i −0.368938 0.282112i
\(370\) −11.4259 3.39437i −0.594003 0.176465i
\(371\) −6.05503 + 1.16701i −0.314361 + 0.0605882i
\(372\) 8.91190 4.87138i 0.462061 0.252569i
\(373\) −6.80062 + 11.7790i −0.352123 + 0.609895i −0.986621 0.163030i \(-0.947873\pi\)
0.634498 + 0.772924i \(0.281207\pi\)
\(374\) 0.803641 3.26735i 0.0415553 0.168950i
\(375\) −15.8296 11.6830i −0.817438 0.603308i
\(376\) 22.0124 7.38460i 1.13521 0.380831i
\(377\) 29.5149 + 25.5748i 1.52009 + 1.31717i
\(378\) −36.4552 + 1.49544i −1.87505 + 0.0769170i
\(379\) −2.70449 6.75550i −0.138920 0.347007i 0.842551 0.538617i \(-0.181053\pi\)
−0.981471 + 0.191611i \(0.938629\pi\)
\(380\) −0.255830 0.754640i −0.0131238 0.0387122i
\(381\) −26.9814 + 11.7716i −1.38230 + 0.603075i
\(382\) −8.67642 + 13.4070i −0.443924 + 0.685962i
\(383\) 4.51175 + 4.30194i 0.230540 + 0.219819i 0.796540 0.604586i \(-0.206661\pi\)
−0.566000 + 0.824405i \(0.691510\pi\)
\(384\) 18.1306 7.43507i 0.925225 0.379419i
\(385\) −20.1113 10.3681i −1.02497 0.528406i
\(386\) 23.0264 + 13.3920i 1.17201 + 0.681633i
\(387\) 3.16763 24.3773i 0.161020 1.23917i
\(388\) 7.90943 + 3.22487i 0.401541 + 0.163718i
\(389\) 1.17189 6.08037i 0.0594174 0.308287i −0.940046 0.341048i \(-0.889218\pi\)
0.999463 + 0.0327614i \(0.0104301\pi\)
\(390\) −4.72977 21.3701i −0.239501 1.08211i
\(391\) −0.525166 + 5.49979i −0.0265588 + 0.278136i
\(392\) −40.3924 29.3470i −2.04013 1.48225i
\(393\) 21.3002 + 11.4437i 1.07446 + 0.577260i
\(394\) 21.4684 + 20.6006i 1.08156 + 1.03784i
\(395\) −2.22077 + 2.11750i −0.111739 + 0.106543i
\(396\) 19.0034 + 2.59213i 0.954955 + 0.130259i
\(397\) −6.70871 14.6900i −0.336701 0.737272i 0.663237 0.748409i \(-0.269182\pi\)
−0.999938 + 0.0111376i \(0.996455\pi\)
\(398\) 7.42145 4.73625i 0.372004 0.237407i
\(399\) 0.824567 2.25745i 0.0412800 0.113014i
\(400\) 6.76210 + 9.75589i 0.338105 + 0.487794i
\(401\) 12.9954i 0.648960i −0.945892 0.324480i \(-0.894811\pi\)
0.945892 0.324480i \(-0.105189\pi\)
\(402\) −9.35817 17.7320i −0.466743 0.884393i
\(403\) 18.3762i 0.915384i
\(404\) −19.8651 + 8.92010i −0.988326 + 0.443792i
\(405\) −7.22741 10.6015i −0.359133 0.526792i
\(406\) 23.5372 + 36.8816i 1.16813 + 1.83040i
\(407\) 7.85048 + 17.1902i 0.389134 + 0.852084i
\(408\) 3.59750 0.594845i 0.178103 0.0294492i
\(409\) −15.8447 + 15.1079i −0.783470 + 0.747038i −0.971988 0.235032i \(-0.924480\pi\)
0.188517 + 0.982070i \(0.439632\pi\)
\(410\) 4.15129 4.32616i 0.205017 0.213654i
\(411\) −3.11078 + 5.79011i −0.153444 + 0.285605i
\(412\) 0.735927 + 0.645910i 0.0362565 + 0.0318217i
\(413\) 0.962901 10.0840i 0.0473812 0.496199i
\(414\) −31.4904 + 0.327744i −1.54767 + 0.0161077i
\(415\) −1.79922 + 9.33526i −0.0883204 + 0.458250i
\(416\) −3.93002 + 35.2369i −0.192685 + 1.72763i
\(417\) 0.580143 + 7.40446i 0.0284097 + 0.362598i
\(418\) −0.635144 + 1.09208i −0.0310659 + 0.0534154i
\(419\) −4.46176 2.30020i −0.217971 0.112372i 0.345783 0.938314i \(-0.387613\pi\)
−0.563754 + 0.825942i \(0.690644\pi\)
\(420\) 1.73845 24.4586i 0.0848278 1.19346i
\(421\) −13.3284 12.7086i −0.649587 0.619380i 0.291892 0.956451i \(-0.405715\pi\)
−0.941479 + 0.337072i \(0.890564\pi\)
\(422\) 9.86417 + 6.38365i 0.480180 + 0.310751i
\(423\) 4.98859 + 24.1159i 0.242553 + 1.17256i
\(424\) 1.42877 + 3.20911i 0.0693874 + 0.155848i
\(425\) 0.820922 + 2.05056i 0.0398205 + 0.0994669i
\(426\) 12.1564 + 24.7963i 0.588977 + 1.20139i
\(427\) 19.5917 + 16.9763i 0.948110 + 0.821542i
\(428\) 3.19626 + 13.5501i 0.154497 + 0.654969i
\(429\) −20.6068 + 27.9207i −0.994904 + 1.34802i
\(430\) 16.0424 + 3.94580i 0.773632 + 0.190283i
\(431\) 2.21554 3.83744i 0.106719 0.184843i −0.807720 0.589566i \(-0.799299\pi\)
0.914439 + 0.404723i \(0.132632\pi\)
\(432\) 5.53337 + 20.0345i 0.266225 + 0.963911i
\(433\) 17.7424 3.41957i 0.852646 0.164334i 0.255840 0.966719i \(-0.417648\pi\)
0.596806 + 0.802385i \(0.296436\pi\)
\(434\) −5.86269 + 19.7345i −0.281418 + 0.947287i
\(435\) −6.62869 + 13.8849i −0.317821 + 0.665728i
\(436\) 0.184286 3.41262i 0.00882570 0.163435i
\(437\) 0.770972 1.92580i 0.0368806 0.0921233i
\(438\) −3.00068 39.9253i −0.143378 1.90770i
\(439\) 13.9657 8.06308i 0.666545 0.384830i −0.128221 0.991746i \(-0.540927\pi\)
0.794766 + 0.606916i \(0.207593\pi\)
\(440\) −3.15796 + 12.4966i −0.150550 + 0.595754i
\(441\) 36.0203 38.8192i 1.71525 1.84854i
\(442\) −2.17759 + 6.22768i −0.103577 + 0.296221i
\(443\) 0.330907 + 6.94658i 0.0157218 + 0.330042i 0.993003 + 0.118093i \(0.0376781\pi\)
−0.977281 + 0.211949i \(0.932019\pi\)
\(444\) −13.7691 + 15.1600i −0.653455 + 0.719463i
\(445\) 18.4982 11.8881i 0.876900 0.563549i
\(446\) −2.88053 + 1.47346i −0.136397 + 0.0697703i
\(447\) −15.4409 0.999007i −0.730328 0.0472514i
\(448\) −15.4624 + 36.5876i −0.730528 + 1.72860i
\(449\) −20.7888 + 26.4351i −0.981082 + 1.24755i −0.0122258 + 0.999925i \(0.503892\pi\)
−0.968857 + 0.247622i \(0.920351\pi\)
\(450\) −11.1301 + 5.88537i −0.524677 + 0.277439i
\(451\) −9.49532 0.452318i −0.447117 0.0212988i
\(452\) 6.66697 22.1836i 0.313588 1.04343i
\(453\) 17.9777 + 19.5083i 0.844665 + 0.916579i
\(454\) 4.62840 + 11.6684i 0.217221 + 0.547625i
\(455\) 37.3224 + 23.9856i 1.74970 + 1.12446i
\(456\) −1.35895 0.166251i −0.0636389 0.00778541i
\(457\) −4.29406 12.4069i −0.200868 0.580369i 0.798910 0.601451i \(-0.205410\pi\)
−0.999778 + 0.0210813i \(0.993289\pi\)
\(458\) −0.0329874 + 10.3913i −0.00154140 + 0.485553i
\(459\) 0.170784 + 3.86376i 0.00797153 + 0.180345i
\(460\) 2.14551 21.0552i 0.100035 0.981705i
\(461\) −13.4940 + 11.6926i −0.628479 + 0.544580i −0.909807 0.415032i \(-0.863771\pi\)
0.281328 + 0.959612i \(0.409225\pi\)
\(462\) −31.0377 + 23.4101i −1.44400 + 1.08914i
\(463\) 1.92335 + 20.1422i 0.0893857 + 0.936090i 0.923270 + 0.384151i \(0.125506\pi\)
−0.833885 + 0.551939i \(0.813888\pi\)
\(464\) 17.4272 17.8185i 0.809035 0.827201i
\(465\) −6.98008 + 1.92121i −0.323694 + 0.0890938i
\(466\) −1.11732 + 21.9867i −0.0517590 + 1.01852i
\(467\) −4.12747 17.0136i −0.190996 0.787298i −0.984013 0.178097i \(-0.943006\pi\)
0.793017 0.609200i \(1.79149\pi\)
\(468\) −36.6092 8.60140i −1.69226 0.397600i
\(469\) 38.7847 + 12.1426i 1.79091 + 0.560692i
\(470\) −16.4802 + 1.52089i −0.760176 + 0.0701535i
\(471\) −0.254118 8.30440i −0.0117092 0.382647i
\(472\) −5.71940 + 0.766805i −0.263257 + 0.0352951i
\(473\) −12.0023 23.2811i −0.551864 1.07047i
\(474\) 1.62347 + 5.01602i 0.0745682 + 0.230394i
\(475\) −0.0788325 0.825572i −0.00361709 0.0378798i
\(476\) −4.32541 + 5.99328i −0.198255 + 0.274702i
\(477\) −3.56038 + 1.09816i −0.163018 + 0.0502813i
\(478\) 5.08720 25.9513i 0.232683 1.18699i
\(479\) −14.0298 + 11.0332i −0.641038 + 0.504118i −0.884954 0.465679i \(-0.845810\pi\)
0.243916 + 0.969796i \(0.421568\pi\)
\(480\) −13.7954 + 2.19117i −0.629670 + 0.100013i
\(481\) −12.1193 35.0163i −0.552591 1.59661i
\(482\) −1.65990 + 16.8188i −0.0756064 + 0.766077i
\(483\) 44.8300 45.4431i 2.03984 2.06773i
\(484\) −1.39470 + 0.707847i −0.0633956 + 0.0321749i
\(485\) −4.95963 3.53173i −0.225205 0.160368i
\(486\) −21.7986 + 3.28963i −0.988804 + 0.149221i
\(487\) −20.4160 0.972535i −0.925138 0.0440697i −0.420397 0.907340i \(-0.638109\pi\)
−0.504741 + 0.863271i \(0.668412\pi\)
\(488\) 6.89164 13.0610i 0.311970 0.591244i
\(489\) 14.8417 12.4248i 0.671163 0.561867i
\(490\) 23.2206 + 26.9706i 1.04900 + 1.21841i
\(491\) 4.88031 + 33.9433i 0.220245 + 1.53184i 0.737110 + 0.675773i \(0.236190\pi\)
−0.516865 + 0.856067i \(0.672901\pi\)
\(492\) −3.60435 9.65061i −0.162497 0.435083i
\(493\) 3.90154 2.50737i 0.175717 0.112926i
\(494\) 1.44327 2.01323i 0.0649357 0.0905795i
\(495\) −12.7599 4.90829i −0.573515 0.220611i
\(496\) 11.7063 + 0.706722i 0.525628 + 0.0317327i
\(497\) −52.8984 18.3083i −2.37282 0.821241i
\(498\) 13.1120 + 9.74173i 0.587563 + 0.436537i
\(499\) −2.58319 + 1.49141i −0.115640 + 0.0667645i −0.556704 0.830711i \(-0.687934\pi\)
0.441065 + 0.897475i \(0.354601\pi\)
\(500\) −8.30923 21.1435i −0.371600 0.945568i
\(501\) −10.5248 7.01964i −0.470212 0.313614i
\(502\) 18.5902 + 2.73313i 0.829721 + 0.121986i
\(503\) 5.43162 22.3895i 0.242184 0.998296i −0.712736 0.701433i \(-0.752544\pi\)
0.954920 0.296864i \(-0.0959407\pi\)
\(504\) −36.5710 20.9169i −1.62900 0.931712i
\(505\) 15.2417 2.93761i 0.678249 0.130722i
\(506\) −27.3951 + 19.3772i −1.21786 + 0.861420i
\(507\) 30.3933 33.8934i 1.34981 1.50526i
\(508\) −33.6141 5.05100i −1.49138 0.224102i
\(509\) 12.5793 + 5.74475i 0.557566 + 0.254632i 0.674207 0.738542i \(-0.264486\pi\)
−0.116641 + 0.993174i \(0.537213\pi\)
\(510\) −2.59321 0.176046i −0.114829 0.00779546i
\(511\) 61.3340 + 53.1462i 2.71326 + 2.35105i
\(512\) 22.2960 + 3.85872i 0.985352 + 0.170533i
\(513\) 0.347188 1.41002i 0.0153287 0.0622539i
\(514\) 0.817994 + 3.41916i 0.0360802 + 0.150813i
\(515\) −0.404865 0.568553i −0.0178405 0.0250534i
\(516\) 18.0629 21.8963i 0.795173 0.963931i
\(517\) 18.9908 + 18.1077i 0.835214 + 0.796375i
\(518\) −1.84358 41.4711i −0.0810023 1.82214i
\(519\) −14.8352 + 18.2181i −0.651194 + 0.799686i
\(520\) 8.49312 23.8034i 0.372448 1.04385i
\(521\) 4.55114 + 15.4998i 0.199389 + 0.679057i 0.997106 + 0.0760249i \(0.0242228\pi\)
−0.797717 + 0.603032i \(0.793959\pi\)
\(522\) 16.5569 + 20.6088i 0.724677 + 0.902022i
\(523\) −0.889745 + 4.61643i −0.0389058 + 0.201863i −0.996181 0.0873175i \(-0.972171\pi\)
0.957275 + 0.289180i \(0.0933826\pi\)
\(524\) 13.8064 + 24.2679i 0.603134 + 1.06015i
\(525\) 7.60538 24.3609i 0.331926 1.06320i
\(526\) −3.03935 3.20790i −0.132522 0.139871i
\(527\) 2.09384 + 0.614806i 0.0912090 + 0.0267814i
\(528\) 16.9939 + 14.2010i 0.739566 + 0.618020i
\(529\) 23.2299 22.1496i 1.00999 0.963027i
\(530\) −0.466074 2.46023i −0.0202450 0.106865i
\(531\) −0.0831271 6.12005i −0.00360741 0.265588i
\(532\) 2.19224 1.70159i 0.0950459 0.0737731i
\(533\) 18.4494 + 2.65263i 0.799133 + 0.114898i
\(534\) −4.62093 37.4971i −0.199967 1.62266i
\(535\) 9.92382i 0.429044i
\(536\) 1.73323 23.0867i 0.0748639 0.997194i
\(537\) 9.99928 + 2.10420i 0.431501 + 0.0908028i
\(538\) −11.1278 32.4848i −0.479752 1.40052i
\(539\) 8.03029 55.8519i 0.345889 2.40571i
\(540\) −0.560249 14.8050i −0.0241093 0.637107i
\(541\) −11.7539 25.7374i −0.505339 1.10654i −0.974697 0.223529i \(-0.928242\pi\)
0.469359 0.883008i \(-0.344485\pi\)
\(542\) −27.0877 + 5.13160i −1.16352 + 0.220421i
\(543\) 1.67176 1.03463i 0.0717423 0.0444002i
\(544\) 3.88351 + 1.62671i 0.166504 + 0.0697444i
\(545\) −0.686334 + 2.33744i −0.0293993 + 0.100125i
\(546\) 64.9451 39.9089i 2.77939 1.70794i
\(547\) −2.88892 + 30.2541i −0.123521 + 1.29357i 0.694964 + 0.719044i \(0.255420\pi\)
−0.818485 + 0.574527i \(0.805186\pi\)
\(548\) −6.59681 + 3.75303i −0.281802 + 0.160321i
\(549\) 12.8813 + 8.91159i 0.549761 + 0.380337i
\(550\) −6.18503 + 11.9044i −0.263731 + 0.507603i
\(551\) −1.67080 + 0.490590i −0.0711784 + 0.0208999i
\(552\) −30.9986 19.0110i −1.31939 0.809163i
\(553\) −9.49873 4.89694i −0.403927 0.208239i
\(554\) 5.25705 0.233700i 0.223350 0.00992896i
\(555\) 12.0337 8.26433i 0.510801 0.350801i
\(556\) −3.97813 + 7.59767i −0.168710 + 0.322213i
\(557\) 19.1637 13.6464i 0.811993 0.578218i −0.0968773 0.995296i \(-0.530885\pi\)
0.908870 + 0.417079i \(0.136946\pi\)
\(558\) −2.22685 + 12.2380i −0.0942702 + 0.518078i
\(559\) 19.0878 + 47.6790i 0.807327 + 2.01661i
\(560\) 16.7151 22.8532i 0.706340 0.965724i
\(561\) 2.49193 + 3.28213i 0.105209 + 0.138572i
\(562\) −4.99792 35.5623i −0.210824 1.50011i
\(563\) −14.3922 + 31.5146i −0.606561 + 1.32818i 0.318341 + 0.947976i \(0.396874\pi\)
−0.924901 + 0.380207i \(0.875853\pi\)
\(564\) −9.92567 + 26.6477i −0.417946 + 1.12207i
\(565\) −8.25577 + 14.2994i −0.347323 + 0.601581i
\(566\) 0.950291 + 1.34350i 0.0399437 + 0.0564717i
\(567\) 26.6588 35.8628i 1.11956 1.50609i
\(568\) −3.33332 + 31.7134i −0.139863 + 1.33066i
\(569\) −18.0303 4.37411i −0.755870 0.183372i −0.160735 0.986998i \(-0.551386\pi\)
−0.595135 + 0.803625i \(0.702902\pi\)
\(570\) 0.915604 + 0.337736i 0.0383504 + 0.0141462i
\(571\) 6.93140 17.3138i 0.290070 0.724560i −0.709728 0.704476i \(-0.751182\pi\)
0.999798 0.0200845i \(-0.00639352\pi\)
\(572\) −37.2935 + 14.6560i −1.55932 + 0.612799i
\(573\) −6.08173 18.5891i −0.254068 0.776570i
\(574\) 18.9669 + 8.73475i 0.791662 + 0.364581i
\(575\) 7.20449 20.8160i 0.300448 0.868088i
\(576\) −6.88733 + 22.9905i −0.286972 + 0.957939i
\(577\) 1.35549 + 28.4553i 0.0564300 + 1.18461i 0.832522 + 0.553991i \(0.186896\pi\)
−0.776092 + 0.630619i \(0.782801\pi\)
\(578\) −18.9026 13.5511i −0.786245 0.563653i
\(579\) −30.4892 + 11.6083i −1.26709 + 0.482425i
\(580\) −15.0066 + 9.51006i −0.623114 + 0.394884i
\(581\) −32.7735 + 4.71212i −1.35967 + 0.195492i
\(582\) −9.16346 + 5.04673i −0.379837 + 0.209194i
\(583\) −2.45409 + 3.12063i −0.101638 + 0.129243i
\(584\) 21.5750 40.8888i 0.892780 1.69199i
\(585\) 23.9910 + 11.9586i 0.991905 + 0.494427i
\(586\) 26.0438 + 10.5224i 1.07586 + 0.434677i
\(587\) −11.6165 + 16.3131i −0.479466 + 0.673316i −0.981485 0.191541i \(-0.938651\pi\)
0.502019 + 0.864857i \(0.332591\pi\)
\(588\) 59.0583 15.8526i 2.43553 0.653751i
\(589\) −0.689289 0.442979i −0.0284016 0.0182526i
\(590\) 4.09348 + 0.403997i 0.168526 + 0.0166323i
\(591\) −36.1527 + 4.57181i −1.48712 + 0.188059i
\(592\) −22.7727 + 6.37372i −0.935953 + 0.261958i
\(593\) 14.4885 + 18.4237i 0.594972 + 0.756569i 0.986529 0.163585i \(-0.0523059\pi\)
−0.391557 + 0.920154i \(0.628063\pi\)
\(594\) −17.1070 + 16.0972i −0.701909 + 0.660478i
\(595\) 3.98168 3.45014i 0.163233 0.141442i
\(596\) −14.4878 10.4560i −0.593444 0.428294i
\(597\) −1.20737 + 10.7148i −0.0494143 + 0.438528i
\(598\) 57.0835 32.7160i 2.33432 1.33786i
\(599\) 1.66823 0.860032i 0.0681620 0.0351400i −0.423809 0.905752i \(-0.639307\pi\)
0.491971 + 0.870612i \(0.336277\pi\)
\(600\) −14.4981 1.07675i −0.591883 0.0439583i
\(601\) 2.15446 + 8.88080i 0.0878822 + 0.362255i 0.998724 0.0505001i \(-0.0160815\pi\)
−0.910842 + 0.412756i \(0.864566\pi\)
\(602\) 5.28733 + 57.2929i 0.215496 + 2.33509i
\(603\) 24.0924 + 4.74919i 0.981120 + 0.193402i
\(604\) 5.60618 + 30.1153i 0.228112 + 1.22537i
\(605\) 1.08345 0.262843i 0.0440486 0.0106861i
\(606\) 6.80948 25.7860i 0.276616 1.04748i
\(607\) −12.6178 24.4750i −0.512139 0.993411i −0.993167 0.116706i \(-0.962767\pi\)
0.481027 0.876706i \(1.65974\pi\)
\(608\) −1.22699 0.996838i −0.0497611 0.0404271i
\(609\) −53.2482 6.00012i −2.15773 0.243137i
\(610\) −6.91871 + 7.93359i −0.280130 + 0.321222i
\(611\) −33.6928 38.8836i −1.36306 1.57306i
\(612\) −2.20489 + 3.88358i −0.0891274 + 0.156985i
\(613\) −23.2256 + 18.2648i −0.938074 + 0.737709i −0.965088 0.261926i \(-0.915642\pi\)
0.0270145 + 0.999635i \(0.491400\pi\)
\(614\) 46.9343 + 0.148994i 1.89411 + 0.00601291i
\(615\) 0.921278 + 7.28523i 0.0371495 + 0.293769i
\(616\) −44.7259 + 3.84135i −1.80206 + 0.154772i
\(617\) −10.5756 + 16.4560i −0.425759 + 0.662494i −0.986173 0.165718i \(-0.947006\pi\)
0.560414 + 0.828213i \(0.310642\pi\)
\(618\) −1.18191 + 0.203146i −0.0475434 + 0.00817173i
\(619\) 13.5959 + 9.68163i 0.546467 + 0.389137i 0.819685 0.572815i \(-0.194149\pi\)
−0.273218 + 0.961952i \(0.588088\pi\)
\(620\) −8.00589 2.40606i −0.321524 0.0966296i
\(621\) 23.9460 30.2360i 0.960920 1.21333i
\(622\) −9.89236 + 12.4973i −0.396647 + 0.501096i
\(623\) 60.1970 + 47.3394i 2.41174 + 1.89661i
\(624\) −30.5233 30.8861i −1.22191 1.23643i
\(625\) 0.192937 + 1.34191i 0.00771750 + 0.0536764i
\(626\) 10.9903 + 21.4854i 0.439260 + 0.858729i
\(627\) −0.550551 1.44602i −0.0219869 0.0577483i
\(628\) 4.84945 8.27767i 0.193514 0.330315i
\(629\) −4.39533 + 0.209376i −0.175253 + 0.00834835i
\(630\) 21.9491 + 20.4966i 0.874472 + 0.816602i
\(631\) 23.4647 + 8.12120i 0.934114 + 0.323300i 0.751386 0.659863i \(-0.229386\pi\)
0.182728 + 0.983163i \(0.441507\pi\)
\(632\) −1.49153 + 5.90227i −0.0593301 + 0.234780i
\(633\) −13.6769 + 4.47462i −0.543607 + 0.177850i
\(634\) 19.2654 5.59047i 0.765129 0.222026i
\(635\) 22.4941 + 9.00526i 0.892649 + 0.357363i
\(636\) −4.15618 1.11168i −0.164803 0.0440808i
\(637\) −26.0839 + 107.519i −1.03348 + 4.26008i
\(638\) 27.0016 + 8.02157i 1.06900 + 0.317577i
\(639\) −32.9742 7.52678i −1.30444 0.297755i
\(640\) −14.8369 6.32586i −0.586482 0.250051i
\(641\) −21.6475 12.4982i −0.855023 0.493648i 0.00731916 0.999973i \(-0.497670\pi\)
−0.862343 + 0.506325i \(0.831004\pi\)
\(642\) −15.3639 7.39477i −0.606365 0.291848i
\(643\) −22.0114 10.0523i −0.868045 0.396423i −0.0689446 0.997620i \(-0.521963\pi\)
−0.799100 + 0.601198i \(0.794690\pi\)
\(644\) 71.7405 16.9225i 2.82697 0.666840i
\(645\) −16.1150 + 12.2351i −0.634526 + 0.481758i
\(646\) −0.181106 0.231806i −0.00712554 0.00912030i
\(647\) −34.6642 + 13.8775i −1.36279 + 0.545580i −0.933822 0.357739i \(-0.883548\pi\)
−0.428970 + 0.903319i \(0.641124\pi\)
\(648\) −23.3384 10.1646i −0.916818 0.399305i
\(649\) −3.78292 5.31237i −0.148493 0.208529i
\(650\) 14.2912 22.0831i 0.560547 0.866170i
\(651\) −14.2740 20.7843i −0.559441 0.814600i
\(652\) 22.1425 3.04025i 0.867167 0.119065i
\(653\) 7.26711 14.0962i 0.284384 0.551628i −0.702767 0.711421i \(-0.748052\pi\)
0.987151 + 0.159792i \(0.0510825\pi\)
\(654\) 3.10736 + 2.80432i 0.121507 + 0.109658i
\(655\) −5.60707 19.0959i −0.219086 0.746139i
\(656\) 2.39935 11.6509i 0.0936791 0.454892i
\(657\) 40.3263 + 27.8987i 1.57328 + 1.08843i
\(658\) −23.7780 52.5070i −0.926962 2.04693i
\(659\) 14.3009 + 1.36557i 0.557083 + 0.0531950i 0.369801 0.929111i \(-0.379426\pi\)
0.187283 + 0.982306i \(0.440032\pi\)
\(660\) −9.46598 12.6334i −0.368463 0.491755i
\(661\) 23.2151 + 6.81658i 0.902964 + 0.265134i 0.700077 0.714068i \(-0.253149\pi\)
0.202888 + 0.979202i \(0.434967\pi\)
\(662\) 2.38655 + 2.29008i 0.0927558 + 0.0890063i
\(663\) −4.25222 6.87077i −0.165142 0.266839i
\(664\) 6.84315 + 17.5767i 0.265566 + 0.682107i
\(665\) −1.79940 + 0.821757i −0.0697776 + 0.0318664i
\(666\) −3.82777 24.7885i −0.148323 0.960536i
\(667\) −45.7803 6.58221i −1.77262 0.254864i
\(668\) −5.98391 13.3262i −0.231525 0.515606i
\(669\) 0.816012 3.87775i 0.0315489 0.149922i
\(670\) −4.98065 + 15.7334i −0.192419 + 0.607833i
\(671\) 16.6897 0.644300
\(672\) −22.9257 42.9071i −0.884378 1.65518i
\(673\) 5.07200 35.2765i 0.195511 1.35981i −0.621602 0.783333i \(-0.713518\pi\)
0.817113 0.576477i \(-0.195573\pi\)
\(674\) −23.4498 36.7445i −0.903252 1.41535i
\(675\) 2.97011 15.1312i 0.114320 0.582400i
\(676\) 50.5312 14.4895i 1.94351 0.557287i
\(677\) 30.3802 + 31.8618i 1.16761 + 1.22455i 0.969692 + 0.244331i \(0.0785682\pi\)
0.197914 + 0.980219i \(0.436583\pi\)
\(678\) 15.9863 + 23.4367i 0.613950 + 0.900081i
\(679\) 5.97412 20.3460i 0.229266 0.780807i
\(680\) −2.42807 1.76411i −0.0931124 0.0676506i
\(681\) −14.6754 4.58162i −0.562364 0.175568i
\(682\) 5.46760 + 12.0737i 0.209365 + 0.462325i
\(683\) 0.310505 + 0.0598449i 0.0118811 + 0.00228990i 0.195188 0.980766i \(-0.437468\pi\)
−0.183307 + 0.983056i \(0.558680\pi\)
\(684\) 1.20514 1.16586i 0.0460798 0.0445777i
\(685\) 5.19090 1.52419i 0.198334 0.0582362i
\(686\) −37.6037 + 64.6566i −1.43572 + 2.46860i
\(687\) −9.86863 8.03615i −0.376512 0.306598i
\(688\) 31.1073 10.3259i 1.18595 0.393672i
\(689\) 5.37173 5.63371i 0.204646 0.214627i
\(690\) 18.3949 + 18.2624i 0.700284 + 0.695237i
\(691\) 6.66297 4.74468i 0.253471 0.180496i −0.446258 0.894905i \(-0.647243\pi\)
0.699729 + 0.714408i \(0.253304\pi\)
\(692\) −25.6927 + 8.71005i −0.976688 + 0.331106i
\(693\) 1.61941 47.5861i 0.0615162 1.80765i
\(694\) 5.44653 + 6.97126i 0.206747 + 0.264625i
\(695\) 4.00330 4.62006i 0.151854 0.175249i
\(696\) 3.54112 + 30.3194i 0.134226 + 1.14925i
\(697\) 0.919505 2.01343i 0.0348287 0.0762643i
\(698\) 25.9340 + 6.37877i 0.981618 + 0.241440i
\(699\) −20.0739 18.0010i −0.759266 0.680859i
\(700\) 22.3929 19.1560i 0.846372 0.724028i
\(701\) −3.84616 19.9558i −0.145267 0.753719i −0.979365 0.202102i \(-0.935223\pi\)
0.834097 0.551618i \(-0.185989\pi\)
\(702\) 36.3911 28.2314i 1.37349 1.06553i
\(703\) 1.60561 + 0.389516i 0.0605566 + 0.0146909i
\(704\) 7.90215 + 24.3209i 0.297823 + 0.916629i
\(705\) 11.2471 16.8632i 0.423592 0.635106i
\(706\) −17.3945 + 5.04756i −0.654651 + 0.189968i
\(707\) 27.0299 + 46.8171i 1.01656 + 1.76074i
\(708\) 3.67573 6.03642i 0.138142 0.226862i
\(709\) 4.14651 11.9805i 0.155725 0.449939i −0.839969 0.542634i \(-0.817427\pi\)
0.995695 + 0.0926953i \(0.0295482\pi\)
\(710\) 7.50252 21.4565i 0.281565 0.805248i
\(711\) −6.02661 2.31823i −0.226015 0.0869403i
\(712\) 18.4998 39.5087i 0.693308 1.48065i
\(713\) −11.7658 18.3080i −0.440634 0.685640i
\(714\) −2.37450 8.73525i −0.0888633 0.326909i
\(715\) 28.2718 4.06488i 1.05731 0.152018i
\(716\) 8.48751 + 8.19633i 0.317193 + 0.306311i
\(717\) 20.7907 + 24.8349i 0.776442 + 0.927477i
\(718\) −11.7429 + 14.8352i −0.438242 + 0.553644i
\(719\) −1.59587 + 33.5015i −0.0595160 + 1.24939i 0.749658 + 0.661825i \(0.230218\pi\)
−0.809174 + 0.587569i \(0.800085\pi\)
\(720\) 8.54071 14.8232i 0.318293 0.552427i
\(721\) 1.41003 1.98012i 0.0525124 0.0737434i
\(722\) −9.86663 24.8742i −0.367198 0.925722i
\(723\) −14.7354 14.5366i −0.548014 0.540621i
\(724\) 2.27012 + 0.0144133i 0.0843685 + 0.000535666i
\(725\) −17.4739 + 6.04777i −0.648964 + 0.224609i
\(726\) 0.400410 1.87324i 0.0148606 0.0695226i
\(727\) 13.0952 + 16.6518i 0.485672 + 0.617583i 0.965697 0.259672i \(-0.0836146\pi\)
−0.480024 + 0.877255i \(0.659372\pi\)
\(728\) 88.0156 + 0.838247i 3.26207 + 0.0310675i
\(729\) 13.6600 23.2896i 0.505924 0.862578i
\(730\) −21.6598 + 24.8369i −0.801664 + 0.919257i
\(731\) 6.07130 0.579739i 0.224555 0.0214424i
\(732\) 7.12716 + 16.6232i 0.263427 + 0.614410i
\(733\) −11.5543 + 5.95664i −0.426767 + 0.220014i −0.658209 0.752835i \(-0.728686\pi\)
0.231442 + 0.972849i \(0.425655\pi\)
\(734\) −1.52312 + 29.9721i −0.0562196 + 1.10629i
\(735\) −43.5676 + 1.33319i −1.60702 + 0.0491754i
\(736\) −18.6459 37.6224i −0.687296 1.38678i
\(737\) 23.9903 10.4437i 0.883693 0.384699i
\(738\) 11.9654 + 4.00230i 0.440451 + 0.147327i
\(739\) −5.68305 + 1.37869i −0.209054 + 0.0507161i −0.338918 0.940816i \(-0.610061\pi\)
0.129864 + 0.991532i \(0.458546\pi\)
\(740\) 16.8423 0.695152i 0.619133 0.0255543i
\(741\) 0.805098 + 2.92506i 0.0295760 + 0.107455i
\(742\) 7.56615 4.33635i 0.277762 0.159192i
\(743\) −21.9211 + 2.09321i −0.804208 + 0.0767925i −0.489060 0.872250i \(-0.662660\pi\)
−0.315148 + 0.949043i \(0.602054\pi\)
\(744\) −9.69064 + 10.6017i −0.355276 + 0.388678i
\(745\) 8.34017 + 9.62507i 0.305560 + 0.352635i
\(746\) 3.70020 18.8758i 0.135474 0.691093i
\(747\) −19.3762 + 4.98020i −0.708937 + 0.182216i
\(748\) 0.422235 + 4.73967i 0.0154384 + 0.173300i
\(749\) 32.6611 11.3041i 1.19341 0.413043i