Properties

Label 690.2.w.a.7.10
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.10
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.a.493.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.997452 - 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-0.244725 + 2.22264i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-1.14160 + 2.09069i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(0.997452 - 0.0713392i) q^{2} +(-0.212565 + 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(-0.244725 + 2.22264i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(-1.14160 + 2.09069i) q^{7} +(0.977147 - 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(-0.0855405 + 2.23443i) q^{10} +(-2.30969 + 2.00135i) q^{11} +(-0.0713392 + 0.997452i) q^{12} +(-2.62824 + 1.43513i) q^{13} +(-0.989548 + 2.16681i) q^{14} +(-2.11982 - 0.711587i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-3.50746 - 4.68542i) q^{17} +(-0.936950 - 0.349464i) q^{18} +(-0.140830 - 0.979493i) q^{19} +(0.0740800 + 2.23484i) q^{20} +(-1.80025 - 1.55992i) q^{21} +(-2.16103 + 2.16103i) q^{22} +(4.59431 - 1.37563i) q^{23} +1.00000i q^{24} +(-4.88022 - 1.08787i) q^{25} +(-2.51916 + 1.61897i) q^{26} +(0.599278 - 0.800541i) q^{27} +(-0.832448 + 2.23188i) q^{28} +(0.861813 + 0.123910i) q^{29} +(-2.16518 - 0.558548i) q^{30} +(8.81840 + 5.66724i) q^{31} +(0.936950 - 0.349464i) q^{32} +(-1.46466 - 2.68232i) q^{33} +(-3.83278 - 4.42326i) q^{34} +(-4.36747 - 3.04902i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(2.56804 + 6.88519i) q^{37} +(-0.210347 - 0.966951i) q^{38} +(-0.843658 - 2.87323i) q^{39} +(0.233323 + 2.22386i) q^{40} +(4.85958 + 10.6410i) q^{41} +(-1.90695 - 1.42752i) q^{42} +(-4.13340 - 0.899167i) q^{43} +(-2.00135 + 2.30969i) q^{44} +(1.14593 - 1.92012i) q^{45} +(4.48446 - 1.69988i) q^{46} +(-0.0353404 - 0.0353404i) q^{47} +(0.0713392 + 0.997452i) q^{48} +(0.716751 + 1.11529i) q^{49} +(-4.94539 - 0.736947i) q^{50} +(5.32390 - 2.43135i) q^{51} +(-2.39725 + 1.79456i) q^{52} +(-3.11123 - 1.69886i) q^{53} +(0.540641 - 0.841254i) q^{54} +(-3.88304 - 5.62337i) q^{55} +(-0.671107 + 2.28558i) q^{56} +(0.987044 + 0.0705948i) q^{57} +(0.868457 + 0.0621132i) q^{58} +(2.30687 - 7.85647i) q^{59} +(-2.19951 - 0.402663i) q^{60} +(-5.80221 + 9.02841i) q^{61} +(9.20023 + 5.02371i) q^{62} +(1.90695 - 1.42752i) q^{63} +(0.909632 - 0.415415i) q^{64} +(-2.54657 - 6.19283i) q^{65} +(-1.65228 - 2.57100i) q^{66} +(-0.112095 - 1.56730i) q^{67} +(-4.13856 - 4.13856i) q^{68} +(0.367603 + 4.78172i) q^{69} +(-4.57386 - 2.72968i) q^{70} +(1.17691 - 1.35823i) q^{71} +(-0.977147 - 0.212565i) q^{72} +(12.2403 + 9.16298i) q^{73} +(3.05268 + 6.68444i) q^{74} +(2.10037 - 4.53745i) q^{75} +(-0.278793 - 0.949481i) q^{76} +(-1.54747 - 7.11360i) q^{77} +(-1.04648 - 2.80573i) q^{78} +(16.0559 + 4.71444i) q^{79} +(0.391377 + 2.20155i) q^{80} +(0.654861 + 0.755750i) q^{81} +(5.60631 + 10.2672i) q^{82} +(-5.29729 + 1.97579i) q^{83} +(-2.00392 - 1.28784i) q^{84} +(11.2723 - 6.64916i) q^{85} +(-4.18702 - 0.602002i) q^{86} +(-0.304270 + 0.815779i) q^{87} +(-1.83148 + 2.44658i) q^{88} +(5.50859 - 3.54016i) q^{89} +(1.00603 - 1.99698i) q^{90} -7.13319i q^{91} +(4.35177 - 2.01547i) q^{92} +(-7.41221 + 7.41221i) q^{93} +(-0.0377715 - 0.0327292i) q^{94} +(2.21152 - 0.0733070i) q^{95} +(0.142315 + 0.989821i) q^{96} +(-2.34286 - 0.873842i) q^{97} +(0.794489 + 1.06131i) q^{98} +(2.93236 - 0.861018i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 24 q^{6} + O(q^{10}) \) \( 240 q - 24 q^{6} + 44 q^{10} - 16 q^{13} + 24 q^{16} + 44 q^{21} + 72 q^{23} + 16 q^{25} + 44 q^{28} - 16 q^{31} - 44 q^{33} - 24 q^{36} + 44 q^{37} + 88 q^{43} - 8 q^{46} + 48 q^{47} + 8 q^{50} - 16 q^{52} + 56 q^{55} + 44 q^{57} + 16 q^{58} + 88 q^{61} + 8 q^{62} + 88 q^{65} - 132 q^{67} + 56 q^{70} - 64 q^{71} + 16 q^{73} - 32 q^{75} - 16 q^{77} - 16 q^{78} + 24 q^{81} - 24 q^{82} + 92 q^{85} - 16 q^{87} - 44 q^{88} + 116 q^{92} - 80 q^{93} + 20 q^{95} + 24 q^{96} - 88 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.997452 0.0713392i 0.705305 0.0504444i
\(3\) −0.212565 + 0.977147i −0.122725 + 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) −0.244725 + 2.22264i −0.109444 + 0.993993i
\(6\) −0.142315 + 0.989821i −0.0580998 + 0.404093i
\(7\) −1.14160 + 2.09069i −0.431486 + 0.790208i −0.999461 0.0328385i \(-0.989545\pi\)
0.567975 + 0.823046i \(0.307727\pi\)
\(8\) 0.977147 0.212565i 0.345474 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) −0.0855405 + 2.23443i −0.0270503 + 0.706589i
\(11\) −2.30969 + 2.00135i −0.696397 + 0.603431i −0.929413 0.369042i \(-0.879686\pi\)
0.233016 + 0.972473i \(0.425141\pi\)
\(12\) −0.0713392 + 0.997452i −0.0205938 + 0.287940i
\(13\) −2.62824 + 1.43513i −0.728942 + 0.398033i −0.800444 0.599408i \(-0.795403\pi\)
0.0715014 + 0.997440i \(0.477221\pi\)
\(14\) −0.989548 + 2.16681i −0.264468 + 0.579103i
\(15\) −2.11982 0.711587i −0.547336 0.183731i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) −3.50746 4.68542i −0.850684 1.13638i −0.989280 0.146031i \(-0.953350\pi\)
0.138596 0.990349i \(-0.455741\pi\)
\(18\) −0.936950 0.349464i −0.220841 0.0823695i
\(19\) −0.140830 0.979493i −0.0323086 0.224711i 0.967270 0.253751i \(-0.0816643\pi\)
−0.999578 + 0.0290394i \(0.990755\pi\)
\(20\) 0.0740800 + 2.23484i 0.0165648 + 0.499726i
\(21\) −1.80025 1.55992i −0.392846 0.340403i
\(22\) −2.16103 + 2.16103i −0.460732 + 0.460732i
\(23\) 4.59431 1.37563i 0.957979 0.286839i
\(24\) 1.00000i 0.204124i
\(25\) −4.88022 1.08787i −0.976044 0.217574i
\(26\) −2.51916 + 1.61897i −0.494048 + 0.317506i
\(27\) 0.599278 0.800541i 0.115331 0.154064i
\(28\) −0.832448 + 2.23188i −0.157318 + 0.421786i
\(29\) 0.861813 + 0.123910i 0.160035 + 0.0230095i 0.221866 0.975077i \(-0.428785\pi\)
−0.0618317 + 0.998087i \(0.519694\pi\)
\(30\) −2.16518 0.558548i −0.395307 0.101976i
\(31\) 8.81840 + 5.66724i 1.58383 + 1.01787i 0.974342 + 0.225073i \(0.0722620\pi\)
0.609490 + 0.792794i \(0.291374\pi\)
\(32\) 0.936950 0.349464i 0.165631 0.0617771i
\(33\) −1.46466 2.68232i −0.254964 0.466932i
\(34\) −3.83278 4.42326i −0.657316 0.758583i
\(35\) −4.36747 3.04902i −0.738237 0.515378i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) 2.56804 + 6.88519i 0.422183 + 1.13192i 0.957795 + 0.287453i \(0.0928085\pi\)
−0.535611 + 0.844465i \(0.679919\pi\)
\(38\) −0.210347 0.966951i −0.0341228 0.156860i
\(39\) −0.843658 2.87323i −0.135093 0.460086i
\(40\) 0.233323 + 2.22386i 0.0368916 + 0.351623i
\(41\) 4.85958 + 10.6410i 0.758938 + 1.66184i 0.749604 + 0.661887i \(0.230244\pi\)
0.00933471 + 0.999956i \(0.497029\pi\)
\(42\) −1.90695 1.42752i −0.294248 0.220271i
\(43\) −4.13340 0.899167i −0.630338 0.137122i −0.113964 0.993485i \(-0.536355\pi\)
−0.516374 + 0.856363i \(0.672719\pi\)
\(44\) −2.00135 + 2.30969i −0.301716 + 0.348198i
\(45\) 1.14593 1.92012i 0.170825 0.286234i
\(46\) 4.48446 1.69988i 0.661198 0.250633i
\(47\) −0.0353404 0.0353404i −0.00515493 0.00515493i 0.704525 0.709680i \(-0.251160\pi\)
−0.709680 + 0.704525i \(0.751160\pi\)
\(48\) 0.0713392 + 0.997452i 0.0102969 + 0.143970i
\(49\) 0.716751 + 1.11529i 0.102393 + 0.159327i
\(50\) −4.94539 0.736947i −0.699384 0.104220i
\(51\) 5.32390 2.43135i 0.745496 0.340456i
\(52\) −2.39725 + 1.79456i −0.332438 + 0.248860i
\(53\) −3.11123 1.69886i −0.427360 0.233356i 0.251149 0.967949i \(-0.419192\pi\)
−0.678509 + 0.734592i \(0.737374\pi\)
\(54\) 0.540641 0.841254i 0.0735719 0.114480i
\(55\) −3.88304 5.62337i −0.523590 0.758256i
\(56\) −0.671107 + 2.28558i −0.0896804 + 0.305423i
\(57\) 0.987044 + 0.0705948i 0.130737 + 0.00935051i
\(58\) 0.868457 + 0.0621132i 0.114034 + 0.00815587i
\(59\) 2.30687 7.85647i 0.300329 1.02283i −0.661675 0.749790i \(-0.730154\pi\)
0.962004 0.273035i \(-0.0880275\pi\)
\(60\) −2.19951 0.402663i −0.283956 0.0519835i
\(61\) −5.80221 + 9.02841i −0.742896 + 1.15597i 0.239814 + 0.970819i \(0.422914\pi\)
−0.982710 + 0.185151i \(0.940723\pi\)
\(62\) 9.20023 + 5.02371i 1.16843 + 0.638011i
\(63\) 1.90695 1.42752i 0.240252 0.179851i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) −2.54657 6.19283i −0.315863 0.768126i
\(66\) −1.65228 2.57100i −0.203382 0.316468i
\(67\) −0.112095 1.56730i −0.0136946 0.191476i −0.999694 0.0247280i \(-0.992128\pi\)
0.986000 0.166748i \(-0.0533265\pi\)
\(68\) −4.13856 4.13856i −0.501874 0.501874i
\(69\) 0.367603 + 4.78172i 0.0442542 + 0.575652i
\(70\) −4.57386 2.72968i −0.546680 0.326259i
\(71\) 1.17691 1.35823i 0.139674 0.161192i −0.681603 0.731722i \(-0.738717\pi\)
0.821277 + 0.570530i \(0.193262\pi\)
\(72\) −0.977147 0.212565i −0.115158 0.0250511i
\(73\) 12.2403 + 9.16298i 1.43262 + 1.07245i 0.983889 + 0.178778i \(0.0572145\pi\)
0.448730 + 0.893667i \(0.351876\pi\)
\(74\) 3.05268 + 6.68444i 0.354867 + 0.777050i
\(75\) 2.10037 4.53745i 0.242530 0.523939i
\(76\) −0.278793 0.949481i −0.0319797 0.108913i
\(77\) −1.54747 7.11360i −0.176350 0.810670i
\(78\) −1.04648 2.80573i −0.118491 0.317686i
\(79\) 16.0559 + 4.71444i 1.80643 + 0.530416i 0.998284 0.0585643i \(-0.0186523\pi\)
0.808147 + 0.588980i \(0.200470\pi\)
\(80\) 0.391377 + 2.20155i 0.0437573 + 0.246141i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) 5.60631 + 10.2672i 0.619114 + 1.13382i
\(83\) −5.29729 + 1.97579i −0.581453 + 0.216871i −0.622942 0.782268i \(-0.714063\pi\)
0.0414887 + 0.999139i \(0.486790\pi\)
\(84\) −2.00392 1.28784i −0.218646 0.140515i
\(85\) 11.2723 6.64916i 1.22266 0.721203i
\(86\) −4.18702 0.602002i −0.451498 0.0649156i
\(87\) −0.304270 + 0.815779i −0.0326211 + 0.0874607i
\(88\) −1.83148 + 2.44658i −0.195237 + 0.260806i
\(89\) 5.50859 3.54016i 0.583910 0.375256i −0.215084 0.976596i \(-0.569002\pi\)
0.798994 + 0.601340i \(0.205366\pi\)
\(90\) 1.00603 1.99698i 0.106045 0.210500i
\(91\) 7.13319i 0.747761i
\(92\) 4.35177 2.01547i 0.453703 0.210127i
\(93\) −7.41221 + 7.41221i −0.768611 + 0.768611i
\(94\) −0.0377715 0.0327292i −0.00389583 0.00337576i
\(95\) 2.21152 0.0733070i 0.226897 0.00752114i
\(96\) 0.142315 + 0.989821i 0.0145249 + 0.101023i
\(97\) −2.34286 0.873842i −0.237881 0.0887252i 0.227696 0.973732i \(-0.426881\pi\)
−0.465578 + 0.885007i \(0.654153\pi\)
\(98\) 0.794489 + 1.06131i 0.0802555 + 0.107209i
\(99\) 2.93236 0.861018i 0.294713 0.0865356i
\(100\) −4.98537 0.382269i −0.498537 0.0382269i
\(101\) −2.18984 + 4.79507i −0.217897 + 0.477127i −0.986740 0.162310i \(-0.948105\pi\)
0.768843 + 0.639438i \(0.220833\pi\)
\(102\) 5.13689 2.80495i 0.508628 0.277732i
\(103\) 0.564630 7.89456i 0.0556346 0.777874i −0.890681 0.454629i \(-0.849772\pi\)
0.946315 0.323245i \(-0.104774\pi\)
\(104\) −2.26312 + 1.96100i −0.221917 + 0.192292i
\(105\) 3.90771 3.61954i 0.381353 0.353231i
\(106\) −3.22450 1.47258i −0.313191 0.143029i
\(107\) 0.311046 0.0676639i 0.0300700 0.00654132i −0.197505 0.980302i \(-0.563284\pi\)
0.227575 + 0.973761i \(0.426920\pi\)
\(108\) 0.479249 0.877679i 0.0461158 0.0844547i
\(109\) 1.84890 12.8594i 0.177093 1.23171i −0.686354 0.727268i \(-0.740790\pi\)
0.863447 0.504440i \(-0.168301\pi\)
\(110\) −4.27432 5.33203i −0.407540 0.508389i
\(111\) −7.27371 + 1.04580i −0.690390 + 0.0992632i
\(112\) −0.506345 + 2.32763i −0.0478451 + 0.219941i
\(113\) −16.0340 + 1.14678i −1.50835 + 0.107880i −0.800865 0.598845i \(-0.795626\pi\)
−0.707488 + 0.706725i \(0.750172\pi\)
\(114\) 0.989566 0.0926813
\(115\) 1.93318 + 10.5481i 0.180270 + 0.983617i
\(116\) 0.870675 0.0808401
\(117\) 2.98690 0.213628i 0.276139 0.0197499i
\(118\) 1.74052 8.00102i 0.160228 0.736554i
\(119\) 13.7999 1.98413i 1.26503 0.181884i
\(120\) −2.22264 0.244725i −0.202898 0.0223402i
\(121\) −0.236232 + 1.64303i −0.0214756 + 0.149366i
\(122\) −5.14334 + 9.41933i −0.465656 + 0.852786i
\(123\) −11.4308 + 2.48662i −1.03068 + 0.224211i
\(124\) 9.53518 + 4.35457i 0.856284 + 0.391052i
\(125\) 3.61225 10.5807i 0.323089 0.946368i
\(126\) 1.80025 1.55992i 0.160379 0.138969i
\(127\) −0.164150 + 2.29512i −0.0145660 + 0.203659i 0.984958 + 0.172796i \(0.0552801\pi\)
−0.999524 + 0.0308630i \(0.990174\pi\)
\(128\) 0.877679 0.479249i 0.0775766 0.0423600i
\(129\) 1.75724 3.84781i 0.154716 0.338781i
\(130\) −2.98187 5.99538i −0.261527 0.525830i
\(131\) 1.85547 0.544815i 0.162113 0.0476007i −0.199669 0.979863i \(-0.563987\pi\)
0.361782 + 0.932263i \(0.382168\pi\)
\(132\) −1.83148 2.44658i −0.159410 0.212947i
\(133\) 2.20859 + 0.823762i 0.191509 + 0.0714292i
\(134\) −0.223619 1.55531i −0.0193178 0.134358i
\(135\) 1.63265 + 1.52789i 0.140516 + 0.131500i
\(136\) −4.42326 3.83278i −0.379291 0.328658i
\(137\) 9.28084 9.28084i 0.792915 0.792915i −0.189052 0.981967i \(-0.560541\pi\)
0.981967 + 0.189052i \(0.0605414\pi\)
\(138\) 0.707790 + 4.74331i 0.0602511 + 0.403778i
\(139\) 15.4238i 1.30823i −0.756396 0.654114i \(-0.773041\pi\)
0.756396 0.654114i \(-0.226959\pi\)
\(140\) −4.75693 2.39643i −0.402034 0.202535i
\(141\) 0.0420449 0.0270206i 0.00354082 0.00227555i
\(142\) 1.07702 1.43873i 0.0903815 0.120736i
\(143\) 3.19821 8.57473i 0.267448 0.717055i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −0.486314 + 1.88517i −0.0403862 + 0.156555i
\(146\) 12.8628 + 8.26642i 1.06453 + 0.684134i
\(147\) −1.24216 + 0.463300i −0.102451 + 0.0382123i
\(148\) 3.52177 + 6.44963i 0.289487 + 0.530157i
\(149\) −10.9813 12.6731i −0.899622 1.03822i −0.999067 0.0431766i \(-0.986252\pi\)
0.0994450 0.995043i \(-0.468293\pi\)
\(150\) 1.77132 4.67573i 0.144628 0.381771i
\(151\) 4.85383 + 1.42521i 0.394999 + 0.115982i 0.473199 0.880955i \(-0.343099\pi\)
−0.0781999 + 0.996938i \(0.524917\pi\)
\(152\) −0.345818 0.927173i −0.0280495 0.0752037i
\(153\) 1.24410 + 5.71906i 0.100580 + 0.462358i
\(154\) −2.05100 6.98508i −0.165275 0.562874i
\(155\) −14.7543 + 18.2132i −1.18509 + 1.46292i
\(156\) −1.24397 2.72392i −0.0995976 0.218088i
\(157\) 5.34125 + 3.99841i 0.426278 + 0.319108i 0.790786 0.612092i \(-0.209672\pi\)
−0.364508 + 0.931200i \(0.618763\pi\)
\(158\) 16.3513 + 3.55701i 1.30084 + 0.282981i
\(159\) 2.32137 2.67901i 0.184097 0.212459i
\(160\) 0.547437 + 2.16802i 0.0432787 + 0.171397i
\(161\) −2.36886 + 11.1757i −0.186692 + 0.880769i
\(162\) 0.707107 + 0.707107i 0.0555556 + 0.0555556i
\(163\) 0.106964 + 1.49555i 0.00837804 + 0.117140i 0.999920 0.0126460i \(-0.00402544\pi\)
−0.991542 + 0.129786i \(0.958571\pi\)
\(164\) 6.32448 + 9.84109i 0.493859 + 0.768460i
\(165\) 6.32026 2.59897i 0.492032 0.202330i
\(166\) −5.14284 + 2.34866i −0.399162 + 0.182291i
\(167\) 7.14593 5.34938i 0.552969 0.413947i −0.285917 0.958254i \(-0.592298\pi\)
0.838886 + 0.544307i \(0.183207\pi\)
\(168\) −2.09069 1.14160i −0.161300 0.0880767i
\(169\) −2.18028 + 3.39258i −0.167714 + 0.260968i
\(170\) 10.7693 7.43638i 0.825965 0.570344i
\(171\) −0.278793 + 0.949481i −0.0213198 + 0.0726086i
\(172\) −4.21930 0.301770i −0.321718 0.0230098i
\(173\) −6.76174 0.483609i −0.514086 0.0367681i −0.188113 0.982147i \(-0.560237\pi\)
−0.325973 + 0.945379i \(0.605692\pi\)
\(174\) −0.245298 + 0.835407i −0.0185960 + 0.0633320i
\(175\) 7.84568 8.96112i 0.593078 0.677397i
\(176\) −1.65228 + 2.57100i −0.124545 + 0.193796i
\(177\) 7.18657 + 3.92416i 0.540175 + 0.294958i
\(178\) 5.24201 3.92412i 0.392905 0.294125i
\(179\) 2.12122 0.968731i 0.158548 0.0724063i −0.334561 0.942374i \(-0.608588\pi\)
0.493108 + 0.869968i \(0.335861\pi\)
\(180\) 0.861001 2.06366i 0.0641752 0.153816i
\(181\) 10.8796 + 16.9290i 0.808677 + 1.25833i 0.962784 + 0.270271i \(0.0871134\pi\)
−0.154108 + 0.988054i \(0.549250\pi\)
\(182\) −0.508876 7.11501i −0.0377204 0.527400i
\(183\) −7.58873 7.58873i −0.560975 0.560975i
\(184\) 4.19690 2.32078i 0.309400 0.171090i
\(185\) −15.9317 + 4.02284i −1.17132 + 0.295765i
\(186\) −6.86455 + 7.92211i −0.503333 + 0.580877i
\(187\) 17.4783 + 3.80217i 1.27814 + 0.278042i
\(188\) −0.0400101 0.0299512i −0.00291804 0.00218442i
\(189\) 0.989548 + 2.16681i 0.0719790 + 0.157612i
\(190\) 2.20066 0.230888i 0.159652 0.0167504i
\(191\) −6.89390 23.4785i −0.498825 1.69884i −0.695631 0.718400i \(-0.744875\pi\)
0.196806 0.980443i \(-0.436943\pi\)
\(192\) 0.212565 + 0.977147i 0.0153406 + 0.0705195i
\(193\) 5.48408 + 14.7034i 0.394752 + 1.05837i 0.970575 + 0.240798i \(0.0774091\pi\)
−0.575823 + 0.817575i \(0.695318\pi\)
\(194\) −2.39923 0.704478i −0.172255 0.0505786i
\(195\) 6.59262 1.17199i 0.472107 0.0839280i
\(196\) 0.868178 + 1.00193i 0.0620127 + 0.0715665i
\(197\) −13.0299 23.8625i −0.928343 1.70013i −0.682591 0.730800i \(-0.739147\pi\)
−0.245752 0.969333i \(-0.579035\pi\)
\(198\) 2.86346 1.06802i 0.203497 0.0759006i
\(199\) 10.9459 + 7.03451i 0.775935 + 0.498663i 0.867682 0.497119i \(-0.165609\pi\)
−0.0917475 + 0.995782i \(0.529245\pi\)
\(200\) −4.99993 0.0256427i −0.353549 0.00181321i
\(201\) 1.55531 + 0.223619i 0.109703 + 0.0157729i
\(202\) −1.84218 + 4.93907i −0.129615 + 0.347512i
\(203\) −1.24291 + 1.66033i −0.0872350 + 0.116532i
\(204\) 4.92370 3.16427i 0.344728 0.221543i
\(205\) −24.8403 + 8.19695i −1.73492 + 0.572500i
\(206\) 7.91472i 0.551445i
\(207\) −4.75058 0.657226i −0.330188 0.0456804i
\(208\) −2.11745 + 2.11745i −0.146819 + 0.146819i
\(209\) 2.28559 + 1.98047i 0.158097 + 0.136992i
\(210\) 3.63954 3.88909i 0.251152 0.268373i
\(211\) −3.64083 25.3225i −0.250645 1.74328i −0.594358 0.804201i \(-0.702594\pi\)
0.343712 0.939075i \(-0.388315\pi\)
\(212\) −3.32133 1.23879i −0.228110 0.0850807i
\(213\) 1.07702 + 1.43873i 0.0737962 + 0.0985802i
\(214\) 0.305427 0.0896813i 0.0208785 0.00613049i
\(215\) 3.01007 8.96700i 0.205285 0.611545i
\(216\) 0.415415 0.909632i 0.0282654 0.0618926i
\(217\) −21.9156 + 11.9668i −1.48773 + 0.812360i
\(218\) 0.926813 12.9585i 0.0627717 0.877663i
\(219\) −11.5554 + 10.0128i −0.780844 + 0.676605i
\(220\) −4.64381 5.01352i −0.313086 0.338012i
\(221\) 15.9426 + 7.28074i 1.07242 + 0.489756i
\(222\) −7.18057 + 1.56204i −0.481929 + 0.104837i
\(223\) 1.30657 2.39280i 0.0874942 0.160234i −0.830268 0.557365i \(-0.811812\pi\)
0.917762 + 0.397131i \(0.129994\pi\)
\(224\) −0.339004 + 2.35782i −0.0226506 + 0.157539i
\(225\) 3.98729 + 3.01688i 0.265819 + 0.201125i
\(226\) −15.9113 + 2.28771i −1.05841 + 0.152176i
\(227\) −3.71685 + 17.0861i −0.246696 + 1.13404i 0.672456 + 0.740138i \(0.265240\pi\)
−0.919151 + 0.393905i \(0.871124\pi\)
\(228\) 0.987044 0.0705948i 0.0653686 0.00467526i
\(229\) 7.47461 0.493936 0.246968 0.969024i \(-0.420566\pi\)
0.246968 + 0.969024i \(0.420566\pi\)
\(230\) 2.68075 + 10.3833i 0.176764 + 0.684657i
\(231\) 7.27997 0.478987
\(232\) 0.868457 0.0621132i 0.0570170 0.00407793i
\(233\) 2.62421 12.0633i 0.171917 0.790292i −0.807728 0.589555i \(-0.799303\pi\)
0.979645 0.200736i \(-0.0643334\pi\)
\(234\) 2.96405 0.426167i 0.193766 0.0278594i
\(235\) 0.0871975 0.0699002i 0.00568814 0.00455978i
\(236\) 1.16530 8.10481i 0.0758542 0.527578i
\(237\) −8.01963 + 14.6869i −0.520931 + 0.954014i
\(238\) 13.6232 2.96354i 0.883060 0.192098i
\(239\) −8.48816 3.87641i −0.549053 0.250744i 0.121518 0.992589i \(-0.461224\pi\)
−0.670571 + 0.741845i \(0.733951\pi\)
\(240\) −2.23443 0.0855405i −0.144232 0.00552161i
\(241\) −19.3040 + 16.7270i −1.24348 + 1.07748i −0.249451 + 0.968387i \(0.580250\pi\)
−0.994031 + 0.109096i \(0.965204\pi\)
\(242\) −0.118418 + 1.65570i −0.00761218 + 0.106432i
\(243\) −0.877679 + 0.479249i −0.0563031 + 0.0307438i
\(244\) −4.45827 + 9.76225i −0.285412 + 0.624964i
\(245\) −2.65428 + 1.32014i −0.169576 + 0.0843405i
\(246\) −11.2243 + 3.29574i −0.715633 + 0.210129i
\(247\) 1.77583 + 2.37223i 0.112993 + 0.150942i
\(248\) 9.82153 + 3.66324i 0.623668 + 0.232616i
\(249\) −0.804614 5.59621i −0.0509904 0.354646i
\(250\) 2.84822 10.8115i 0.180138 0.683777i
\(251\) 10.2649 + 8.89460i 0.647916 + 0.561422i 0.915603 0.402083i \(-0.131714\pi\)
−0.267687 + 0.963506i \(0.586259\pi\)
\(252\) 1.68438 1.68438i 0.106106 0.106106i
\(253\) −7.85828 + 12.3721i −0.494046 + 0.777828i
\(254\) 2.30098i 0.144376i
\(255\) 4.10110 + 12.4281i 0.256821 + 0.778278i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) −2.59639 + 3.46838i −0.161959 + 0.216351i −0.874178 0.485605i \(-0.838599\pi\)
0.712219 + 0.701957i \(0.247690\pi\)
\(258\) 1.47826 3.96337i 0.0920324 0.246749i
\(259\) −17.3265 2.49117i −1.07662 0.154794i
\(260\) −3.40198 5.76738i −0.210982 0.357678i
\(261\) −0.732458 0.470722i −0.0453380 0.0291370i
\(262\) 1.81188 0.675795i 0.111938 0.0417507i
\(263\) 0.538290 + 0.985805i 0.0331924 + 0.0607873i 0.893749 0.448568i \(-0.148066\pi\)
−0.860556 + 0.509355i \(0.829884\pi\)
\(264\) −2.00135 2.30969i −0.123175 0.142151i
\(265\) 4.53734 6.49938i 0.278727 0.399253i
\(266\) 2.26173 + 0.664104i 0.138676 + 0.0407188i
\(267\) 2.28832 + 6.13522i 0.140043 + 0.375469i
\(268\) −0.334004 1.53539i −0.0204025 0.0937889i
\(269\) −1.00766 3.43177i −0.0614381 0.209239i 0.923053 0.384672i \(-0.125686\pi\)
−0.984491 + 0.175433i \(0.943867\pi\)
\(270\) 1.73749 + 1.40752i 0.105740 + 0.0856591i
\(271\) −1.58384 3.46812i −0.0962113 0.210673i 0.855407 0.517957i \(-0.173307\pi\)
−0.951618 + 0.307284i \(0.900580\pi\)
\(272\) −4.68542 3.50746i −0.284095 0.212671i
\(273\) 6.97017 + 1.51627i 0.421854 + 0.0917687i
\(274\) 8.59510 9.91928i 0.519249 0.599246i
\(275\) 13.4490 7.25441i 0.811005 0.437458i
\(276\) 1.04437 + 4.68074i 0.0628638 + 0.281747i
\(277\) −14.2261 14.2261i −0.854763 0.854763i 0.135952 0.990715i \(-0.456591\pi\)
−0.990715 + 0.135952i \(0.956591\pi\)
\(278\) −1.10032 15.3845i −0.0659929 0.922701i
\(279\) −5.66724 8.81840i −0.339289 0.527944i
\(280\) −4.91577 2.05096i −0.293774 0.122569i
\(281\) 22.0443 10.0673i 1.31505 0.600564i 0.370472 0.928844i \(-0.379196\pi\)
0.944581 + 0.328280i \(0.106469\pi\)
\(282\) 0.0400101 0.0299512i 0.00238257 0.00178357i
\(283\) −6.66835 3.64119i −0.396392 0.216446i 0.268674 0.963231i \(-0.413415\pi\)
−0.665066 + 0.746785i \(0.731596\pi\)
\(284\) 0.971638 1.51190i 0.0576561 0.0897147i
\(285\) −0.398461 + 2.17656i −0.0236028 + 0.128929i
\(286\) 2.57835 8.78104i 0.152461 0.519234i
\(287\) −27.7948 1.98792i −1.64067 0.117343i
\(288\) −0.997452 0.0713392i −0.0587754 0.00420370i
\(289\) −4.86141 + 16.5564i −0.285965 + 0.973907i
\(290\) −0.350588 + 1.91506i −0.0205872 + 0.112456i
\(291\) 1.35188 2.10357i 0.0792488 0.123314i
\(292\) 13.4197 + 7.32774i 0.785331 + 0.428823i
\(293\) −13.1016 + 9.80777i −0.765406 + 0.572976i −0.909066 0.416651i \(-0.863204\pi\)
0.143660 + 0.989627i \(0.454113\pi\)
\(294\) −1.20594 + 0.550734i −0.0703318 + 0.0321195i
\(295\) 16.8975 + 7.05000i 0.983812 + 0.410467i
\(296\) 3.97291 + 6.18196i 0.230920 + 0.359319i
\(297\) 0.218023 + 3.04837i 0.0126510 + 0.176884i
\(298\) −11.8574 11.8574i −0.686881 0.686881i
\(299\) −10.1007 + 10.2089i −0.584140 + 0.590396i
\(300\) 1.43325 4.79018i 0.0827486 0.276561i
\(301\) 6.59860 7.61519i 0.380337 0.438932i
\(302\) 4.94314 + 1.07531i 0.284446 + 0.0618774i
\(303\) −4.22001 3.15906i −0.242433 0.181483i
\(304\) −0.411080 0.900141i −0.0235771 0.0516266i
\(305\) −18.6469 15.1057i −1.06772 0.864948i
\(306\) 1.64893 + 5.61573i 0.0942629 + 0.321030i
\(307\) 4.71162 + 21.6590i 0.268906 + 1.23614i 0.891291 + 0.453431i \(0.149800\pi\)
−0.622385 + 0.782711i \(0.713836\pi\)
\(308\) −2.54409 6.82097i −0.144963 0.388661i
\(309\) 7.59412 + 2.22983i 0.432014 + 0.126851i
\(310\) −13.4174 + 19.2193i −0.762057 + 1.09158i
\(311\) 14.4431 + 16.6682i 0.818991 + 0.945166i 0.999260 0.0384513i \(-0.0122424\pi\)
−0.180269 + 0.983617i \(0.557697\pi\)
\(312\) −1.43513 2.62824i −0.0812481 0.148795i
\(313\) −11.2323 + 4.18943i −0.634887 + 0.236800i −0.646239 0.763135i \(-0.723659\pi\)
0.0113524 + 0.999936i \(0.496386\pi\)
\(314\) 5.61288 + 3.60718i 0.316753 + 0.203565i
\(315\) 2.70618 + 4.58779i 0.152476 + 0.258493i
\(316\) 16.5634 + 2.38146i 0.931765 + 0.133968i
\(317\) −5.00887 + 13.4293i −0.281326 + 0.754265i 0.717035 + 0.697037i \(0.245499\pi\)
−0.998361 + 0.0572276i \(0.981774\pi\)
\(318\) 2.12434 2.83779i 0.119127 0.159135i
\(319\) −2.23851 + 1.43860i −0.125332 + 0.0805461i
\(320\) 0.700707 + 2.12344i 0.0391707 + 0.118704i
\(321\) 0.318321i 0.0177669i
\(322\) −1.56556 + 11.3162i −0.0872452 + 0.630628i
\(323\) −4.09538 + 4.09538i −0.227873 + 0.227873i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) 14.3876 4.14455i 0.798081 0.229899i
\(326\) 0.213382 + 1.48411i 0.0118181 + 0.0821970i
\(327\) 12.1725 + 4.54011i 0.673141 + 0.251069i
\(328\) 7.01043 + 9.36483i 0.387086 + 0.517086i
\(329\) 0.114231 0.0335412i 0.00629774 0.00184918i
\(330\) 6.11875 3.04323i 0.336826 0.167524i
\(331\) 9.97279 21.8374i 0.548154 1.20029i −0.409484 0.912317i \(-0.634291\pi\)
0.957639 0.287973i \(-0.0929813\pi\)
\(332\) −4.96219 + 2.70956i −0.272335 + 0.148706i
\(333\) 0.524237 7.32979i 0.0287280 0.401670i
\(334\) 6.74610 5.84553i 0.369130 0.319853i
\(335\) 3.51096 + 0.134410i 0.191824 + 0.00734359i
\(336\) −2.16681 0.989548i −0.118209 0.0539842i
\(337\) −26.3865 + 5.74003i −1.43736 + 0.312679i −0.862702 0.505712i \(-0.831230\pi\)
−0.574661 + 0.818391i \(0.694866\pi\)
\(338\) −1.93270 + 3.53948i −0.105125 + 0.192522i
\(339\) 2.28771 15.9113i 0.124251 0.864186i
\(340\) 10.2113 8.18571i 0.553787 0.443932i
\(341\) −31.7099 + 4.55920i −1.71719 + 0.246894i
\(342\) −0.210347 + 0.966951i −0.0113743 + 0.0522867i
\(343\) −19.7820 + 1.41483i −1.06813 + 0.0763939i
\(344\) −4.23008 −0.228070
\(345\) −10.7180 0.353160i −0.577037 0.0190135i
\(346\) −6.77901 −0.364442
\(347\) 9.56095 0.683812i 0.513259 0.0367090i 0.187692 0.982228i \(-0.439899\pi\)
0.325567 + 0.945519i \(0.394445\pi\)
\(348\) −0.185075 + 0.850777i −0.00992108 + 0.0456065i
\(349\) 33.0329 4.74942i 1.76821 0.254230i 0.820112 0.572204i \(-0.193911\pi\)
0.948100 + 0.317973i \(0.103002\pi\)
\(350\) 7.18641 9.49799i 0.384130 0.507689i
\(351\) −0.426167 + 2.96405i −0.0227471 + 0.158209i
\(352\) −1.46466 + 2.68232i −0.0780666 + 0.142968i
\(353\) 20.5420 4.46864i 1.09334 0.237842i 0.370483 0.928839i \(-0.379192\pi\)
0.722857 + 0.690998i \(0.242829\pi\)
\(354\) 7.44820 + 3.40148i 0.395867 + 0.180787i
\(355\) 2.73083 + 2.94824i 0.144938 + 0.156477i
\(356\) 4.94871 4.28808i 0.262281 0.227268i
\(357\) −0.994597 + 13.9063i −0.0526396 + 0.735998i
\(358\) 2.04671 1.11759i 0.108172 0.0590664i
\(359\) 5.64290 12.3562i 0.297821 0.652136i −0.700272 0.713877i \(-0.746938\pi\)
0.998092 + 0.0617401i \(0.0196650\pi\)
\(360\) 0.711587 2.11982i 0.0375040 0.111724i
\(361\) 17.2908 5.07703i 0.910042 0.267212i
\(362\) 12.0596 + 16.1098i 0.633839 + 0.846710i
\(363\) −1.55527 0.580085i −0.0816303 0.0304465i
\(364\) −1.01516 7.06058i −0.0532088 0.370075i
\(365\) −23.3615 + 24.9633i −1.22280 + 1.30664i
\(366\) −8.11077 7.02803i −0.423957 0.367361i
\(367\) 1.65343 1.65343i 0.0863081 0.0863081i −0.662635 0.748943i \(-0.730562\pi\)
0.748943 + 0.662635i \(0.230562\pi\)
\(368\) 4.02064 2.61427i 0.209591 0.136278i
\(369\) 11.6981i 0.608980i
\(370\) −15.6041 + 5.14915i −0.811221 + 0.267692i
\(371\) 7.10359 4.56520i 0.368800 0.237013i
\(372\) −6.28190 + 8.39164i −0.325701 + 0.435086i
\(373\) −0.802939 + 2.15276i −0.0415746 + 0.111466i −0.956078 0.293112i \(-0.905309\pi\)
0.914503 + 0.404578i \(0.132582\pi\)
\(374\) 17.7050 + 2.54560i 0.915505 + 0.131630i
\(375\) 9.57108 + 5.77879i 0.494248 + 0.298416i
\(376\) −0.0420449 0.0270206i −0.00216830 0.00139348i
\(377\) −2.44288 + 0.911146i −0.125815 + 0.0469264i
\(378\) 1.14160 + 2.09069i 0.0587178 + 0.107534i
\(379\) 13.1910 + 15.2232i 0.677575 + 0.781964i 0.985542 0.169434i \(-0.0541938\pi\)
−0.307966 + 0.951397i \(0.599648\pi\)
\(380\) 2.17858 0.387293i 0.111759 0.0198677i
\(381\) −2.20778 0.648262i −0.113108 0.0332114i
\(382\) −8.55127 22.9268i −0.437521 1.17304i
\(383\) 1.34612 + 6.18803i 0.0687837 + 0.316194i 0.998664 0.0516678i \(-0.0164537\pi\)
−0.929881 + 0.367861i \(0.880090\pi\)
\(384\) 0.281733 + 0.959493i 0.0143771 + 0.0489639i
\(385\) 16.1896 1.69858i 0.825101 0.0865679i
\(386\) 6.51903 + 14.2747i 0.331810 + 0.726562i
\(387\) 3.38635 + 2.53499i 0.172138 + 0.128861i
\(388\) −2.44337 0.531524i −0.124044 0.0269840i
\(389\) −19.4911 + 22.4940i −0.988240 + 1.14049i 0.00184194 + 0.999998i \(0.499414\pi\)
−0.990082 + 0.140491i \(0.955132\pi\)
\(390\) 6.49221 1.63932i 0.328746 0.0830100i
\(391\) −22.5597 16.7013i −1.14089 0.844619i
\(392\) 0.937442 + 0.937442i 0.0473480 + 0.0473480i
\(393\) 0.137956 + 1.92888i 0.00695895 + 0.0972989i
\(394\) −14.6990 22.8722i −0.740527 1.15228i
\(395\) −14.4078 + 34.5327i −0.724933 + 1.73753i
\(396\) 2.77998 1.26957i 0.139699 0.0637984i
\(397\) 3.18902 2.38727i 0.160052 0.119814i −0.516250 0.856438i \(-0.672672\pi\)
0.676302 + 0.736625i \(0.263581\pi\)
\(398\) 11.4199 + 6.23571i 0.572425 + 0.312568i
\(399\) −1.27441 + 1.98301i −0.0638001 + 0.0992749i
\(400\) −4.98902 + 0.331114i −0.249451 + 0.0165557i
\(401\) 0.475169 1.61828i 0.0237288 0.0808128i −0.946777 0.321889i \(-0.895682\pi\)
0.970506 + 0.241076i \(0.0775004\pi\)
\(402\) 1.56730 + 0.112095i 0.0781696 + 0.00559080i
\(403\) −31.3101 2.23934i −1.55967 0.111550i
\(404\) −1.48514 + 5.05791i −0.0738883 + 0.251640i
\(405\) −1.84002 + 1.27057i −0.0914312 + 0.0631349i
\(406\) −1.12129 + 1.74477i −0.0556489 + 0.0865913i
\(407\) −19.7111 10.7631i −0.977042 0.533505i
\(408\) 4.68542 3.50746i 0.231963 0.173645i
\(409\) −15.8686 + 7.24695i −0.784652 + 0.358338i −0.767116 0.641508i \(-0.778309\pi\)
−0.0175352 + 0.999846i \(0.505582\pi\)
\(410\) −24.1922 + 9.94816i −1.19477 + 0.491304i
\(411\) 7.09596 + 11.0415i 0.350018 + 0.544638i
\(412\) −0.564630 7.89456i −0.0278173 0.388937i
\(413\) 13.7919 + 13.7919i 0.678657 + 0.678657i
\(414\) −4.78537 0.316649i −0.235188 0.0155624i
\(415\) −3.09508 12.2575i −0.151931 0.601696i
\(416\) −1.96100 + 2.26312i −0.0961460 + 0.110958i
\(417\) 15.0713 + 3.27856i 0.738045 + 0.160552i
\(418\) 2.42105 + 1.81237i 0.118417 + 0.0886461i
\(419\) −6.73249 14.7421i −0.328903 0.720198i 0.670868 0.741577i \(-0.265922\pi\)
−0.999771 + 0.0213786i \(0.993194\pi\)
\(420\) 3.35282 4.13883i 0.163601 0.201954i
\(421\) 5.16776 + 17.5998i 0.251861 + 0.857761i 0.984236 + 0.176859i \(0.0565937\pi\)
−0.732375 + 0.680902i \(0.761588\pi\)
\(422\) −5.43805 24.9983i −0.264720 1.21690i
\(423\) 0.0174658 + 0.0468277i 0.000849218 + 0.00227684i
\(424\) −3.40125 0.998696i −0.165179 0.0485010i
\(425\) 12.0200 + 26.6815i 0.583058 + 1.29424i
\(426\) 1.17691 + 1.35823i 0.0570217 + 0.0658065i
\(427\) −12.2518 22.4375i −0.592906 1.08583i
\(428\) 0.298251 0.111242i 0.0144165 0.00537707i
\(429\) 7.69894 + 4.94781i 0.371709 + 0.238883i
\(430\) 2.36270 9.15889i 0.113940 0.441681i
\(431\) 26.0053 + 3.73900i 1.25263 + 0.180101i 0.736517 0.676419i \(-0.236469\pi\)
0.516113 + 0.856520i \(0.327378\pi\)
\(432\) 0.349464 0.936950i 0.0168136 0.0450790i
\(433\) −0.274142 + 0.366211i −0.0131744 + 0.0175990i −0.807080 0.590442i \(-0.798953\pi\)
0.793906 + 0.608041i \(0.208044\pi\)
\(434\) −21.0060 + 13.4998i −1.00832 + 0.648010i
\(435\) −1.73872 0.875922i −0.0833651 0.0419973i
\(436\) 12.9916i 0.622187i
\(437\) −1.99444 4.30636i −0.0954068 0.206001i
\(438\) −10.8117 + 10.8117i −0.516603 + 0.516603i
\(439\) −15.1838 13.1569i −0.724686 0.627944i 0.212344 0.977195i \(-0.431890\pi\)
−0.937029 + 0.349252i \(0.886436\pi\)
\(440\) −4.98964 4.66946i −0.237872 0.222608i
\(441\) −0.188673 1.31225i −0.00898443 0.0624881i
\(442\) 16.4214 + 6.12486i 0.781086 + 0.291330i
\(443\) 15.6011 + 20.8407i 0.741232 + 0.990169i 0.999708 + 0.0241520i \(0.00768856\pi\)
−0.258477 + 0.966017i \(0.583221\pi\)
\(444\) −7.05084 + 2.07031i −0.334618 + 0.0982528i
\(445\) 6.52039 + 13.1100i 0.309096 + 0.621472i
\(446\) 1.13254 2.47991i 0.0536272 0.117427i
\(447\) 14.7177 8.03648i 0.696124 0.380112i
\(448\) −0.169935 + 2.37600i −0.00802867 + 0.112255i
\(449\) −9.10205 + 7.88697i −0.429552 + 0.372209i −0.842636 0.538484i \(-0.818997\pi\)
0.413084 + 0.910693i \(0.364452\pi\)
\(450\) 4.19235 + 2.72474i 0.197629 + 0.128446i
\(451\) −32.5205 14.8516i −1.53133 0.699335i
\(452\) −15.7076 + 3.41698i −0.738824 + 0.160721i
\(453\) −2.42440 + 4.43996i −0.113908 + 0.208607i
\(454\) −2.48847 + 17.3077i −0.116790 + 0.812290i
\(455\) 15.8545 + 1.74567i 0.743269 + 0.0818382i
\(456\) 0.979493 0.140830i 0.0458690 0.00659496i
\(457\) 3.82228 17.5707i 0.178799 0.821925i −0.797125 0.603814i \(-0.793647\pi\)
0.975924 0.218111i \(-0.0699894\pi\)
\(458\) 7.45556 0.533232i 0.348376 0.0249163i
\(459\) −5.85281 −0.273186
\(460\) 3.41466 + 10.1656i 0.159209 + 0.473975i
\(461\) −7.90378 −0.368116 −0.184058 0.982915i \(-0.558923\pi\)
−0.184058 + 0.982915i \(0.558923\pi\)
\(462\) 7.26142 0.519347i 0.337832 0.0241622i
\(463\) 8.87457 40.7957i 0.412436 1.89594i −0.0307845 0.999526i \(-0.509801\pi\)
0.443221 0.896413i \(-0.353836\pi\)
\(464\) 0.861813 0.123910i 0.0400087 0.00575238i
\(465\) −14.6607 18.2886i −0.679874 0.848114i
\(466\) 1.75694 12.2198i 0.0813885 0.566069i
\(467\) 2.80422 5.13554i 0.129764 0.237645i −0.804717 0.593659i \(-0.797683\pi\)
0.934480 + 0.356014i \(0.115865\pi\)
\(468\) 2.92610 0.636534i 0.135259 0.0294238i
\(469\) 3.40470 + 1.55488i 0.157215 + 0.0717975i
\(470\) 0.0819887 0.0759427i 0.00378186 0.00350297i
\(471\) −5.04240 + 4.36926i −0.232341 + 0.201325i
\(472\) 0.584136 8.16729i 0.0268870 0.375930i
\(473\) 11.3464 6.19562i 0.521709 0.284875i
\(474\) −6.95145 + 15.2215i −0.319291 + 0.699149i
\(475\) −0.378280 + 4.93335i −0.0173567 + 0.226357i
\(476\) 13.3771 3.92786i 0.613137 0.180033i
\(477\) 2.12434 + 2.83779i 0.0972669 + 0.129933i
\(478\) −8.74307 3.26100i −0.399899 0.149154i
\(479\) 5.57649 + 38.7854i 0.254797 + 1.77215i 0.568554 + 0.822646i \(0.307503\pi\)
−0.313758 + 0.949503i \(0.601588\pi\)
\(480\) −2.23484 + 0.0740800i −0.102006 + 0.00338127i
\(481\) −16.6305 14.4104i −0.758287 0.657060i
\(482\) −18.0616 + 18.0616i −0.822682 + 0.822682i
\(483\) −10.4168 4.69029i −0.473979 0.213416i
\(484\) 1.65993i 0.0754512i
\(485\) 2.51559 4.99348i 0.114227 0.226742i
\(486\) −0.841254 + 0.540641i −0.0381600 + 0.0245240i
\(487\) −21.1283 + 28.2241i −0.957416 + 1.27896i 0.00288615 + 0.999996i \(0.499081\pi\)
−0.960302 + 0.278962i \(0.910010\pi\)
\(488\) −3.75048 + 10.0554i −0.169776 + 0.455188i
\(489\) −1.48411 0.213382i −0.0671136 0.00964948i
\(490\) −2.55334 + 1.50613i −0.115348 + 0.0680400i
\(491\) 27.9911 + 17.9888i 1.26322 + 0.811824i 0.988722 0.149763i \(-0.0478510\pi\)
0.274501 + 0.961587i \(0.411487\pi\)
\(492\) −10.9606 + 4.08808i −0.494140 + 0.184305i
\(493\) −2.44220 4.47256i −0.109991 0.201434i
\(494\) 1.94054 + 2.23950i 0.0873090 + 0.100760i
\(495\) 1.19611 + 6.72828i 0.0537611 + 0.302414i
\(496\) 10.0578 + 2.95325i 0.451610 + 0.132605i
\(497\) 1.49607 + 4.01113i 0.0671081 + 0.179924i
\(498\) −1.20179 5.52456i −0.0538537 0.247561i
\(499\) −3.04235 10.3613i −0.136194 0.463834i 0.862946 0.505296i \(-0.168617\pi\)
−0.999140 + 0.0414617i \(0.986799\pi\)
\(500\) 2.06969 10.9871i 0.0925592 0.491358i
\(501\) 3.70815 + 8.11971i 0.165668 + 0.362762i
\(502\) 10.8733 + 8.13965i 0.485299 + 0.363290i
\(503\) 40.1978 + 8.74451i 1.79233 + 0.389898i 0.980895 0.194539i \(-0.0623211\pi\)
0.811439 + 0.584437i \(0.198685\pi\)
\(504\) 1.55992 1.80025i 0.0694845 0.0801894i
\(505\) −10.1218 6.04068i −0.450414 0.268807i
\(506\) −6.95564 + 12.9012i −0.309216 + 0.573528i
\(507\) −2.85160 2.85160i −0.126644 0.126644i
\(508\) 0.164150 + 2.29512i 0.00728299 + 0.101829i
\(509\) 2.23246 + 3.47378i 0.0989522 + 0.153973i 0.887200 0.461386i \(-0.152648\pi\)
−0.788247 + 0.615358i \(0.789011\pi\)
\(510\) 4.97726 + 12.1039i 0.220397 + 0.535969i
\(511\) −33.1306 + 15.1302i −1.46561 + 0.669322i
\(512\) 0.800541 0.599278i 0.0353793 0.0264846i
\(513\) −0.868521 0.474248i −0.0383461 0.0209386i
\(514\) −2.34235 + 3.64476i −0.103317 + 0.160764i
\(515\) 17.4085 + 3.18696i 0.767112 + 0.140434i
\(516\) 1.19175 4.05873i 0.0524639 0.178676i
\(517\) 0.152354 + 0.0108966i 0.00670052 + 0.000479231i
\(518\) −17.4601 1.24877i −0.767151 0.0548677i
\(519\) 1.90987 6.50441i 0.0838339 0.285512i
\(520\) −3.80475 5.50999i −0.166849 0.241629i
\(521\) 1.95337 3.03951i 0.0855789 0.133163i −0.795825 0.605527i \(-0.792963\pi\)
0.881404 + 0.472363i \(0.156599\pi\)
\(522\) −0.764173 0.417270i −0.0334470 0.0182634i
\(523\) 3.29580 2.46720i 0.144115 0.107883i −0.524787 0.851233i \(-0.675855\pi\)
0.668903 + 0.743350i \(0.266764\pi\)
\(524\) 1.75905 0.803331i 0.0768444 0.0350937i
\(525\) 7.08861 + 9.57121i 0.309372 + 0.417722i
\(526\) 0.607245 + 0.944892i 0.0264771 + 0.0411992i
\(527\) −4.37679 61.1955i −0.190656 2.66572i
\(528\) −2.16103 2.16103i −0.0940466 0.0940466i
\(529\) 19.2153 12.6401i 0.835447 0.549571i
\(530\) 4.06212 6.80651i 0.176447 0.295656i
\(531\) −5.36210 + 6.18819i −0.232695 + 0.268545i
\(532\) 2.30334 + 0.501062i 0.0998627 + 0.0217238i
\(533\) −28.0433 20.9930i −1.21469 0.909306i
\(534\) 2.72017 + 5.95634i 0.117713 + 0.257756i
\(535\) 0.0742715 + 0.707901i 0.00321104 + 0.0306052i
\(536\) −0.442686 1.50765i −0.0191211 0.0651206i
\(537\) 0.495693 + 2.27867i 0.0213908 + 0.0983317i
\(538\) −1.24991 3.35115i −0.0538876 0.144478i
\(539\) −3.88756 1.14149i −0.167449 0.0491674i
\(540\) 1.83348 + 1.27999i 0.0789003 + 0.0550818i
\(541\) −22.2650 25.6951i −0.957246 1.10472i −0.994429 0.105412i \(-0.966384\pi\)
0.0371827 0.999308i \(-0.488162\pi\)
\(542\) −1.82722 3.34630i −0.0784856 0.143736i
\(543\) −18.8548 + 7.03247i −0.809136 + 0.301792i
\(544\) −4.92370 3.16427i −0.211102 0.135667i
\(545\) 28.1293 + 7.25645i 1.20493 + 0.310832i
\(546\) 7.06058 + 1.01516i 0.302165 + 0.0434448i
\(547\) −9.77465 + 26.2069i −0.417934 + 1.12052i 0.542020 + 0.840366i \(0.317660\pi\)
−0.959954 + 0.280159i \(0.909613\pi\)
\(548\) 7.86557 10.5072i 0.336001 0.448844i
\(549\) 9.02841 5.80221i 0.385323 0.247632i
\(550\) 12.8972 8.19537i 0.549938 0.349452i
\(551\) 0.861590i 0.0367050i
\(552\) 1.37563 + 4.59431i 0.0585507 + 0.195547i
\(553\) −28.1859 + 28.1859i −1.19859 + 1.19859i
\(554\) −15.2047 13.1750i −0.645987 0.559751i
\(555\) −0.544378 16.4228i −0.0231075 0.697107i
\(556\) −2.19503 15.2668i −0.0930902 0.647457i
\(557\) −8.27004 3.08456i −0.350413 0.130697i 0.168093 0.985771i \(-0.446239\pi\)
−0.518506 + 0.855074i \(0.673512\pi\)
\(558\) −6.28190 8.39164i −0.265934 0.355246i
\(559\) 12.1540 3.56873i 0.514059 0.150941i
\(560\) −5.04956 1.69505i −0.213383 0.0716290i
\(561\) −7.43056 + 16.2707i −0.313719 + 0.686948i
\(562\) 21.2699 11.6143i 0.897218 0.489918i
\(563\) −0.797301 + 11.1477i −0.0336022 + 0.469820i 0.952595 + 0.304243i \(0.0984034\pi\)
−0.986197 + 0.165578i \(0.947051\pi\)
\(564\) 0.0377715 0.0327292i 0.00159047 0.00137815i
\(565\) 1.37506 35.9184i 0.0578492 1.51110i
\(566\) −6.91112 3.15620i −0.290496 0.132665i
\(567\) −2.32763 + 0.506345i −0.0977514 + 0.0212645i
\(568\) 0.861305 1.57736i 0.0361396 0.0661847i
\(569\) −3.39980 + 23.6461i −0.142527 + 0.991296i 0.785521 + 0.618835i \(0.212395\pi\)
−0.928048 + 0.372461i \(0.878514\pi\)
\(570\) −0.242171 + 2.19944i −0.0101434 + 0.0921246i
\(571\) −13.3304 + 1.91663i −0.557861 + 0.0802083i −0.415478 0.909603i \(-0.636386\pi\)
−0.142383 + 0.989812i \(0.545477\pi\)
\(572\) 1.94535 8.94261i 0.0813390 0.373909i
\(573\) 24.4073 1.74565i 1.01963 0.0729254i
\(574\) −27.8658 −1.16309
\(575\) −23.9177 + 1.71537i −0.997438 + 0.0715360i
\(576\) −1.00000 −0.0416667
\(577\) 40.7905 2.91740i 1.69813 0.121453i 0.811628 0.584174i \(-0.198581\pi\)
0.886504 + 0.462721i \(0.153127\pi\)
\(578\) −3.66790 + 16.8611i −0.152564 + 0.701327i
\(579\) −15.5331 + 2.23332i −0.645533 + 0.0928136i
\(580\) −0.213076 + 1.93519i −0.00884750 + 0.0803545i
\(581\) 1.91665 13.3306i 0.0795159 0.553045i
\(582\) 1.19837 2.19465i 0.0496741 0.0909713i
\(583\) 10.5860 2.30284i 0.438427 0.0953739i
\(584\) 13.9083 + 6.35171i 0.575530 + 0.262836i
\(585\) −0.256154 + 6.69108i −0.0105907 + 0.276642i
\(586\) −12.3686 + 10.7174i −0.510941 + 0.442733i
\(587\) 2.20793 30.8709i 0.0911309 1.27418i −0.721917 0.691980i \(-0.756739\pi\)
0.813048 0.582197i \(-0.197807\pi\)
\(588\) −1.16358 + 0.635361i −0.0479851 + 0.0262019i
\(589\) 4.30913 9.43568i 0.177555 0.388791i
\(590\) 17.3574 + 5.82658i 0.714593 + 0.239877i
\(591\) 26.0869 7.65980i 1.07307 0.315082i
\(592\) 4.40380 + 5.88279i 0.180995 + 0.241781i
\(593\) −14.4883 5.40387i −0.594965 0.221910i 0.0338998 0.999425i \(-0.489207\pi\)
−0.628865 + 0.777515i \(0.716480\pi\)
\(594\) 0.434936 + 3.02505i 0.0178456 + 0.124119i
\(595\) 1.03281 + 31.1577i 0.0423410 + 1.27734i
\(596\) −12.6731 10.9813i −0.519110 0.449811i
\(597\) −9.20047 + 9.20047i −0.376550 + 0.376550i
\(598\) −9.34670 + 10.9035i −0.382215 + 0.445876i
\(599\) 38.4324i 1.57031i −0.619302 0.785153i \(-0.712584\pi\)
0.619302 0.785153i \(-0.287416\pi\)
\(600\) 1.08787 4.88022i 0.0444121 0.199234i
\(601\) 11.2250 7.21388i 0.457878 0.294260i −0.291297 0.956633i \(-0.594087\pi\)
0.749175 + 0.662372i \(0.230450\pi\)
\(602\) 6.03852 8.06652i 0.246112 0.328767i
\(603\) −0.549113 + 1.47223i −0.0223616 + 0.0599538i
\(604\) 5.00726 + 0.719935i 0.203742 + 0.0292937i
\(605\) −3.59405 0.927148i −0.146119 0.0376939i
\(606\) −4.43462 2.84996i −0.180144 0.115772i
\(607\) −2.65244 + 0.989308i −0.107659 + 0.0401548i −0.402717 0.915325i \(-0.631934\pi\)
0.295057 + 0.955480i \(0.404661\pi\)
\(608\) −0.474248 0.868521i −0.0192333 0.0352232i
\(609\) −1.35819 1.56743i −0.0550365 0.0635155i
\(610\) −19.6770 13.7369i −0.796700 0.556192i
\(611\) 0.143601 + 0.0421651i 0.00580947 + 0.00170582i
\(612\) 2.04535 + 5.48379i 0.0826783 + 0.221669i
\(613\) −6.56048 30.1580i −0.264975 1.21807i −0.896615 0.442810i \(-0.853982\pi\)
0.631640 0.775262i \(-0.282382\pi\)
\(614\) 6.24475 + 21.2677i 0.252018 + 0.858293i
\(615\) −2.72944 26.0150i −0.110062 1.04903i
\(616\) −3.02421 6.62209i −0.121849 0.266812i
\(617\) 3.71589 + 2.78168i 0.149596 + 0.111986i 0.671454 0.741046i \(-0.265670\pi\)
−0.521858 + 0.853032i \(0.674761\pi\)
\(618\) 7.73385 + 1.68240i 0.311101 + 0.0676759i
\(619\) 1.35712 1.56620i 0.0545471 0.0629507i −0.727820 0.685768i \(-0.759467\pi\)
0.782367 + 0.622817i \(0.214012\pi\)
\(620\) −12.0121 + 20.1275i −0.482418 + 0.808342i
\(621\) 1.65202 4.50232i 0.0662931 0.180672i
\(622\) 15.5954 + 15.5954i 0.625317 + 0.625317i
\(623\) 1.11275 + 15.5582i 0.0445813 + 0.623328i
\(624\) −1.61897 2.51916i −0.0648105 0.100847i
\(625\) 22.6331 + 10.6181i 0.905323 + 0.424723i
\(626\) −10.9048 + 4.98006i −0.435844 + 0.199043i
\(627\) −2.42105 + 1.81237i −0.0966874 + 0.0723793i
\(628\) 5.85592 + 3.19757i 0.233677 + 0.127597i
\(629\) 23.2527 36.1818i 0.927144 1.44266i
\(630\) 3.02658 + 4.38305i 0.120582 + 0.174625i
\(631\) 7.47503 25.4576i 0.297576 1.01345i −0.665985 0.745965i \(-0.731989\pi\)
0.963561 0.267487i \(-0.0861933\pi\)
\(632\) 16.6911 + 1.19377i 0.663937 + 0.0474857i
\(633\) 25.5178 + 1.82507i 1.01424 + 0.0725399i
\(634\) −4.03807 + 13.7524i −0.160372 + 0.546178i
\(635\) −5.06104 0.926519i −0.200841 0.0367678i
\(636\) 1.91648 2.98211i 0.0759935 0.118248i
\(637\) −3.48437 1.90261i −0.138056 0.0753842i
\(638\) −2.13017 + 1.59463i −0.0843344 + 0.0631319i
\(639\) −1.63479 + 0.746583i −0.0646712 + 0.0295344i
\(640\) 0.850406 + 2.06804i 0.0336152 + 0.0817467i
\(641\) 14.1565 + 22.0280i 0.559150 + 0.870054i 0.999616 0.0277154i \(-0.00882322\pi\)
−0.440466 + 0.897769i \(0.645187\pi\)
\(642\) 0.0227087 + 0.317510i 0.000896243 + 0.0125311i
\(643\) −9.15728 9.15728i −0.361128 0.361128i 0.503100 0.864228i \(-0.332193\pi\)
−0.864228 + 0.503100i \(0.832193\pi\)
\(644\) −0.754280 + 11.3991i −0.0297228 + 0.449187i
\(645\) 8.12224 + 4.84735i 0.319813 + 0.190864i
\(646\) −3.79278 + 4.37711i −0.149225 + 0.172215i
\(647\) 16.5974 + 3.61054i 0.652511 + 0.141945i 0.526622 0.850099i \(-0.323458\pi\)
0.125889 + 0.992044i \(0.459822\pi\)
\(648\) 0.800541 + 0.599278i 0.0314482 + 0.0235419i
\(649\) 10.3954 + 22.7628i 0.408057 + 0.893520i
\(650\) 14.0553 5.16040i 0.551294 0.202407i
\(651\) −7.03484 23.9585i −0.275717 0.939007i
\(652\) 0.318713 + 1.46510i 0.0124818 + 0.0573778i
\(653\) −3.11045 8.33944i −0.121721 0.326347i 0.861771 0.507298i \(-0.169355\pi\)
−0.983492 + 0.180950i \(0.942083\pi\)
\(654\) 12.4654 + 3.66017i 0.487435 + 0.143124i
\(655\) 0.756846 + 4.25736i 0.0295724 + 0.166349i
\(656\) 7.66064 + 8.84085i 0.299098 + 0.345177i
\(657\) −7.32774 13.4197i −0.285882 0.523554i
\(658\) 0.111547 0.0416048i 0.00434855 0.00162192i
\(659\) 31.7122 + 20.3802i 1.23533 + 0.793898i 0.984712 0.174188i \(-0.0557300\pi\)
0.250618 + 0.968086i \(0.419366\pi\)
\(660\) 5.88606 3.47198i 0.229115 0.135147i
\(661\) 2.00630 + 0.288462i 0.0780359 + 0.0112199i 0.181222 0.983442i \(-0.441995\pi\)
−0.103186 + 0.994662i \(0.532904\pi\)
\(662\) 8.38952 22.4932i 0.326068 0.874222i
\(663\) −10.5032 + 14.0306i −0.407911 + 0.544905i
\(664\) −4.75625 + 3.05665i −0.184578 + 0.118621i
\(665\) −2.37142 + 4.70730i −0.0919597 + 0.182541i
\(666\) 7.34851i 0.284749i
\(667\) 4.12989 0.616255i 0.159910 0.0238615i
\(668\) 6.31190 6.31190i 0.244215 0.244215i
\(669\) 2.06039 + 1.78533i 0.0796591 + 0.0690250i
\(670\) 3.51160 0.116402i 0.135665 0.00449700i
\(671\) −4.66777 32.4651i −0.180197 1.25330i
\(672\) −2.23188 0.832448i −0.0860966 0.0321124i
\(673\) 9.21603 + 12.3112i 0.355252 + 0.474561i 0.942194 0.335068i \(-0.108759\pi\)
−0.586942 + 0.809629i \(0.699668\pi\)
\(674\) −25.9098 + 7.60779i −0.998007 + 0.293041i
\(675\) −3.79549 + 3.25488i −0.146088 + 0.125280i
\(676\) −1.67527 + 3.66834i −0.0644336 + 0.141090i
\(677\) 41.6026 22.7167i 1.59892 0.873074i 0.601684 0.798735i \(-0.294497\pi\)
0.997233 0.0743399i \(-0.0236850\pi\)
\(678\) 1.14678 16.0340i 0.0440416 0.615782i
\(679\) 4.50156 3.90062i 0.172754 0.149692i
\(680\) 9.60135 8.89332i 0.368195 0.341043i
\(681\) −15.9055 7.26381i −0.609501 0.278350i
\(682\) −31.3039 + 6.80974i −1.19869 + 0.260758i
\(683\) 12.5219 22.9321i 0.479137 0.877474i −0.520583 0.853811i \(-0.674285\pi\)
0.999720 0.0236627i \(-0.00753278\pi\)
\(684\) −0.140830 + 0.979493i −0.00538476 + 0.0374519i
\(685\) 18.3567 + 22.8992i 0.701372 + 0.874932i
\(686\) −19.6306 + 2.82246i −0.749501 + 0.107762i
\(687\) −1.58884 + 7.30379i −0.0606181 + 0.278657i
\(688\) −4.21930 + 0.301770i −0.160859 + 0.0115049i
\(689\) 10.6151 0.404404
\(690\) −10.7159 + 0.412352i −0.407946 + 0.0156980i
\(691\) −12.7217 −0.483956 −0.241978 0.970282i \(-0.577796\pi\)
−0.241978 + 0.970282i \(0.577796\pi\)
\(692\) −6.76174 + 0.483609i −0.257043 + 0.0183841i
\(693\) −1.54747 + 7.11360i −0.0587835 + 0.270223i
\(694\) 9.48780 1.36414i 0.360152 0.0517821i
\(695\) 34.2815 + 3.77459i 1.30037 + 0.143178i
\(696\) −0.123910 + 0.861813i −0.00469680 + 0.0326669i
\(697\) 32.8127 60.0920i 1.24287 2.27615i
\(698\) 32.6099 7.09386i 1.23430 0.268506i
\(699\) 11.2298 + 5.12847i 0.424749 + 0.193977i
\(700\) 6.49052 9.98647i 0.245319 0.377453i
\(701\) −21.9835 + 19.0488i −0.830304 + 0.719462i −0.962359 0.271780i \(-0.912388\pi\)
0.132056 + 0.991242i \(0.457842\pi\)
\(702\) −0.213628 + 2.98690i −0.00806285 + 0.112733i
\(703\) 6.38234 3.48502i 0.240714 0.131440i
\(704\) −1.26957 + 2.77998i −0.0478488 + 0.104774i
\(705\) 0.0497676 + 0.100063i 0.00187435 + 0.00376860i
\(706\) 20.1709 5.92270i 0.759140 0.222904i
\(707\) −7.52509 10.0523i −0.283010 0.378057i
\(708\) 7.67188 + 2.86146i 0.288327 + 0.107540i
\(709\) 2.11887 + 14.7370i 0.0795757 + 0.553461i 0.990139 + 0.140091i \(0.0447394\pi\)
−0.910563 + 0.413370i \(0.864351\pi\)
\(710\) 2.93420 + 2.74592i 0.110119 + 0.103052i
\(711\) −12.6465 10.9583i −0.474282 0.410967i
\(712\) 4.63019 4.63019i 0.173524 0.173524i
\(713\) 48.3105 + 13.9062i 1.80924 + 0.520791i
\(714\) 13.9418i 0.521759i
\(715\) 18.2758 + 9.20691i 0.683477 + 0.344319i
\(716\) 1.96177 1.26075i 0.0733147 0.0471165i
\(717\) 5.59211 7.47018i 0.208841 0.278979i
\(718\) 4.74704 12.7273i 0.177158 0.474979i
\(719\) −27.9988 4.02562i −1.04418 0.150130i −0.401182 0.915999i \(-0.631400\pi\)
−0.642997 + 0.765868i \(0.722309\pi\)
\(720\) 0.558548 2.16518i 0.0208159 0.0806917i
\(721\) 15.8605 + 10.1929i 0.590676 + 0.379604i
\(722\) 16.8845 6.29761i 0.628378 0.234373i
\(723\) −12.2414 22.4185i −0.455263 0.833752i
\(724\) 13.1781 + 15.2084i 0.489762 + 0.565215i
\(725\) −4.07104 1.54225i −0.151195 0.0572776i
\(726\) −1.59269 0.467655i −0.0591102 0.0173563i
\(727\) −6.33943 16.9967i −0.235116 0.630372i 0.764787 0.644284i \(-0.222844\pi\)
−0.999903 + 0.0139118i \(0.995572\pi\)
\(728\) −1.51627 6.97017i −0.0561966 0.258332i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) −21.5211 + 26.5663i −0.796531 + 0.983264i
\(731\) 10.2848 + 22.5205i 0.380396 + 0.832951i
\(732\) −8.59148 6.43150i −0.317550 0.237715i
\(733\) 15.0758 + 3.27953i 0.556836 + 0.121132i 0.482172 0.876076i \(-0.339848\pi\)
0.0746640 + 0.997209i \(0.476212\pi\)
\(734\) 1.53126 1.76717i 0.0565198 0.0652273i
\(735\) −0.725761 2.87424i −0.0267701 0.106018i
\(736\) 3.82390 2.89444i 0.140951 0.106691i
\(737\) 3.39562 + 3.39562i 0.125079 + 0.125079i
\(738\) −0.834535 11.6683i −0.0307196 0.429517i
\(739\) 11.6563 + 18.1376i 0.428785 + 0.667203i 0.986673 0.162713i \(-0.0520245\pi\)
−0.557888 + 0.829916i \(0.688388\pi\)
\(740\) −15.1971 + 6.24922i −0.558655 + 0.229726i
\(741\) −2.69550 + 1.23099i −0.0990217 + 0.0452217i
\(742\) 6.75981 5.06033i 0.248160 0.185771i
\(743\) −1.80691 0.986645i −0.0662890 0.0361965i 0.445763 0.895151i \(-0.352933\pi\)
−0.512052 + 0.858955i \(0.671114\pi\)
\(744\) −5.66724 + 8.81840i −0.207771 + 0.323298i
\(745\) 30.8550 21.3060i 1.13044 0.780591i
\(746\) −0.647317 + 2.20456i −0.0236999 + 0.0807146i
\(747\) 5.63936 + 0.403335i 0.206333 + 0.0147572i
\(748\) 17.8415 + 1.27605i 0.652350 + 0.0466570i
\(749\) −0.213627 + 0.727547i −0.00780577 + 0.0265840i
\(750\) 9.95895 + 5.08127i 0.363649 + 0.185542i
\(751\) 15.7964 24.5796i 0.576417 0.896922i −0.423543 0.905876i \(-0.639214\pi\)
0.999960 + 0.00895363i \(0.00285007\pi\)
\(752\) −0.0438654 0.0239523i −0.00159961 0.000873451i
\(753\) −10.8733 + 8.13965i −0.396245 + 0.296625i
\(754\) −2.37165 + 1.08310i −0.0863705 + 0.0394441i
\(755\) −4.35559 + 10.4395i −0.158516 + 0.379933i
\(756\) 1.28784 + 2.00392i 0.0468384 + 0.0728820i
\(757\) −2.97478 41.5928i −0.108120 1.51172i −0.704897 0.709310i \(-0.749007\pi\)
0.596777 0.802407i \(-0.296448\pi\)
\(758\) 14.2434 + 14.2434i 0.517343 + 0.517343i
\(759\) −10.4190 10.3086i −0.378185 0.374178i
\(760\) 2.14540 0.541724i 0.0778218 0.0196504i
\(761\) 20.3856 23.5262i 0.738977 0.852825i −0.254474 0.967080i \(-0.581902\pi\)
0.993452 + 0.114254i \(0.0364479\pi\)
\(762\) −2.24840 0.489109i −0.0814509 0.0177185i
\(763\) 24.7743 + 18.5458i 0.896891 + 0.671404i
\(764\) −10.1651 22.2584i −0.367759 0.805280i
\(765\) −13.0158 + 1.36559i −0.470589 + 0.0493732i
\(766\) 1.78414 + 6.07623i 0.0644637 + 0.219543i
\(767\) 5.21203 + 23.9593i 0.188196 + 0.865121i
\(768\) 0.349464 + 0.936950i 0.0126102 + 0.0338093i
\(769\) −44.0075 12.9218i −1.58695 0.465971i −0.635074 0.772452i \(-0.719030\pi\)
−0.951877 + 0.306481i \(0.900848\pi\)
\(770\) 16.0272 2.84921i 0.577581 0.102678i
\(771\) −2.83721 3.27432i −0.102180 0.117922i
\(772\) 7.52077 + 13.7733i 0.270678 + 0.495710i
\(773\) 34.3851