Properties

Label 177.3.g.a.10.9
Level $177$
Weight $3$
Character 177.10
Analytic conductor $4.823$
Analytic rank $0$
Dimension $560$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.g (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(20\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 10.9
Character \(\chi\) \(=\) 177.10
Dual form 177.3.g.a.124.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.911464 - 0.363160i) q^{2} +(-1.72190 - 0.187268i) q^{3} +(-2.20510 - 2.08878i) q^{4} +(0.969991 - 1.14196i) q^{5} +(1.50144 + 0.796012i) q^{6} +(-4.53786 - 2.73034i) q^{7} +(2.89920 + 6.26652i) q^{8} +(2.92986 + 0.644911i) q^{9} +O(q^{10})\) \(q+(-0.911464 - 0.363160i) q^{2} +(-1.72190 - 0.187268i) q^{3} +(-2.20510 - 2.08878i) q^{4} +(0.969991 - 1.14196i) q^{5} +(1.50144 + 0.796012i) q^{6} +(-4.53786 - 2.73034i) q^{7} +(2.89920 + 6.26652i) q^{8} +(2.92986 + 0.644911i) q^{9} +(-1.29883 + 0.688594i) q^{10} +(-5.02274 - 0.272325i) q^{11} +(3.40580 + 4.00961i) q^{12} +(2.47994 + 11.2665i) q^{13} +(3.14454 + 4.13657i) q^{14} +(-1.88408 + 1.78469i) q^{15} +(0.290990 + 5.36700i) q^{16} +(3.36350 - 2.02375i) q^{17} +(-2.43626 - 1.65182i) q^{18} +(-7.84823 + 28.2668i) q^{19} +(-4.52424 + 0.492041i) q^{20} +(7.30242 + 5.55116i) q^{21} +(4.47914 + 2.07227i) q^{22} +(-13.7897 + 9.34968i) q^{23} +(-3.81861 - 11.3332i) q^{24} +(3.68136 + 22.4553i) q^{25} +(1.83116 - 11.1696i) q^{26} +(-4.92415 - 1.65914i) q^{27} +(4.30335 + 15.4993i) q^{28} +(-3.47220 - 8.71456i) q^{29} +(2.36540 - 0.942461i) q^{30} +(-14.0161 + 3.89155i) q^{31} +(10.5026 - 31.1705i) q^{32} +(8.59764 + 1.40951i) q^{33} +(-3.80066 + 0.623086i) q^{34} +(-7.51962 + 2.53366i) q^{35} +(-5.11356 - 7.54194i) q^{36} +(-12.8285 + 27.7284i) q^{37} +(17.4187 - 22.9140i) q^{38} +(-2.16036 - 19.8641i) q^{39} +(9.96832 + 2.76769i) q^{40} +(20.7356 - 30.5827i) q^{41} +(-4.63993 - 7.71162i) q^{42} +(-7.43227 + 0.402966i) q^{43} +(10.5068 + 11.0919i) q^{44} +(3.57840 - 2.72023i) q^{45} +(15.9643 - 3.51400i) q^{46} +(8.89224 - 7.55314i) q^{47} +(0.504010 - 9.29592i) q^{48} +(-9.81462 - 18.5123i) q^{49} +(4.79944 - 21.8041i) q^{50} +(-6.17059 + 2.85482i) q^{51} +(18.0647 - 30.0238i) q^{52} +(-2.06176 + 3.88889i) q^{53} +(3.88565 + 3.30050i) q^{54} +(-5.18300 + 5.47162i) q^{55} +(3.95356 - 36.3524i) q^{56} +(18.8073 - 47.2027i) q^{57} +9.20397i q^{58} +(-54.8533 + 21.7283i) q^{59} +7.88242 q^{60} +(-43.9651 - 17.5173i) q^{61} +(14.1884 + 1.54308i) q^{62} +(-11.5345 - 10.9260i) q^{63} +(-6.97407 + 8.21050i) q^{64} +(15.2714 + 8.09639i) q^{65} +(-7.32456 - 4.40704i) q^{66} +(6.01377 + 12.9985i) q^{67} +(-11.6440 - 2.56305i) q^{68} +(25.4954 - 13.5168i) q^{69} +(7.77398 + 0.421493i) q^{70} +(-12.3398 - 14.5276i) q^{71} +(4.45291 + 20.2298i) q^{72} +(39.0998 + 51.4349i) q^{73} +(21.7626 - 20.6146i) q^{74} +(-2.13377 - 39.3551i) q^{75} +(76.3493 - 45.9378i) q^{76} +(22.0489 + 14.9495i) q^{77} +(-5.24478 + 18.8900i) q^{78} +(-101.382 + 11.0260i) q^{79} +(6.41117 + 4.87364i) q^{80} +(8.16818 + 3.77900i) q^{81} +(-30.0062 + 20.3447i) q^{82} +(-35.3254 - 104.842i) q^{83} +(-4.50742 - 27.4940i) q^{84} +(0.951520 - 5.80402i) q^{85} +(6.92059 + 2.33182i) q^{86} +(4.34681 + 15.6558i) q^{87} +(-12.8554 - 32.2646i) q^{88} +(-88.4760 + 35.2521i) q^{89} +(-4.24947 + 1.17986i) q^{90} +(19.5077 - 57.8968i) q^{91} +(49.9372 + 8.18679i) q^{92} +(24.8630 - 4.07608i) q^{93} +(-10.8480 + 3.65510i) q^{94} +(24.6669 + 36.3809i) q^{95} +(-23.9215 + 51.7056i) q^{96} +(-30.5163 + 40.1435i) q^{97} +(2.22272 + 20.4376i) q^{98} +(-14.5403 - 4.03709i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + O(q^{10}) \) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + 24q^{12} - 24q^{15} + 8q^{16} - 16q^{17} + 60q^{19} + 164q^{20} - 40q^{22} - 100q^{25} + 156q^{26} - 200q^{28} + 60q^{29} + 32q^{35} + 120q^{36} - 28q^{41} - 1572q^{46} - 638q^{47} + 96q^{48} - 1328q^{49} - 1856q^{50} + 24q^{51} - 1392q^{52} - 572q^{53} - 522q^{55} - 928q^{56} - 24q^{57} + 268q^{59} + 72q^{60} + 348q^{61} + 472q^{62} + 24q^{63} + 2580q^{64} + 1218q^{65} + 120q^{66} + 1044q^{67} + 1936q^{68} + 2784q^{70} + 1416q^{71} + 870q^{73} + 1752q^{74} - 240q^{75} - 120q^{76} + 468q^{78} + 420q^{79} - 376q^{80} - 180q^{81} - 168q^{84} + 348q^{85} - 232q^{86} - 144q^{87} + 212q^{88} - 152q^{94} - 788q^{95} - 3306q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{7}{58}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.911464 0.363160i −0.455732 0.181580i 0.130965 0.991387i \(-0.458193\pi\)
−0.586697 + 0.809807i \(0.699572\pi\)
\(3\) −1.72190 0.187268i −0.573966 0.0624225i
\(4\) −2.20510 2.08878i −0.551275 0.522196i
\(5\) 0.969991 1.14196i 0.193998 0.228392i −0.656559 0.754274i \(-0.727989\pi\)
0.850557 + 0.525882i \(0.176265\pi\)
\(6\) 1.50144 + 0.796012i 0.250240 + 0.132669i
\(7\) −4.53786 2.73034i −0.648265 0.390048i 0.153111 0.988209i \(-0.451071\pi\)
−0.801376 + 0.598161i \(0.795898\pi\)
\(8\) 2.89920 + 6.26652i 0.362400 + 0.783315i
\(9\) 2.92986 + 0.644911i 0.325540 + 0.0716568i
\(10\) −1.29883 + 0.688594i −0.129883 + 0.0688594i
\(11\) −5.02274 0.272325i −0.456613 0.0247568i −0.175601 0.984461i \(-0.556187\pi\)
−0.281011 + 0.959705i \(0.590670\pi\)
\(12\) 3.40580 + 4.00961i 0.283816 + 0.334135i
\(13\) 2.47994 + 11.2665i 0.190765 + 0.866652i 0.970606 + 0.240675i \(0.0773688\pi\)
−0.779841 + 0.625977i \(0.784700\pi\)
\(14\) 3.14454 + 4.13657i 0.224610 + 0.295469i
\(15\) −1.88408 + 1.78469i −0.125605 + 0.118980i
\(16\) 0.290990 + 5.36700i 0.0181869 + 0.335438i
\(17\) 3.36350 2.02375i 0.197853 0.119044i −0.413180 0.910649i \(-0.635582\pi\)
0.611033 + 0.791605i \(0.290754\pi\)
\(18\) −2.43626 1.65182i −0.135348 0.0917679i
\(19\) −7.84823 + 28.2668i −0.413065 + 1.48772i 0.405920 + 0.913909i \(0.366951\pi\)
−0.818985 + 0.573816i \(0.805463\pi\)
\(20\) −4.52424 + 0.492041i −0.226212 + 0.0246020i
\(21\) 7.30242 + 5.55116i 0.347734 + 0.264341i
\(22\) 4.47914 + 2.07227i 0.203597 + 0.0941942i
\(23\) −13.7897 + 9.34968i −0.599554 + 0.406508i −0.822863 0.568240i \(-0.807624\pi\)
0.223309 + 0.974748i \(0.428314\pi\)
\(24\) −3.81861 11.3332i −0.159109 0.472218i
\(25\) 3.68136 + 22.4553i 0.147254 + 0.898211i
\(26\) 1.83116 11.1696i 0.0704294 0.429600i
\(27\) −4.92415 1.65914i −0.182376 0.0614496i
\(28\) 4.30335 + 15.4993i 0.153691 + 0.553545i
\(29\) −3.47220 8.71456i −0.119731 0.300502i 0.856880 0.515516i \(-0.172400\pi\)
−0.976611 + 0.215014i \(0.931020\pi\)
\(30\) 2.36540 0.942461i 0.0788466 0.0314154i
\(31\) −14.0161 + 3.89155i −0.452132 + 0.125534i −0.486127 0.873888i \(-0.661591\pi\)
0.0339952 + 0.999422i \(0.489177\pi\)
\(32\) 10.5026 31.1705i 0.328205 0.974077i
\(33\) 8.59764 + 1.40951i 0.260535 + 0.0427125i
\(34\) −3.80066 + 0.623086i −0.111784 + 0.0183261i
\(35\) −7.51962 + 2.53366i −0.214846 + 0.0723902i
\(36\) −5.11356 7.54194i −0.142043 0.209498i
\(37\) −12.8285 + 27.7284i −0.346717 + 0.749417i −0.999970 0.00772289i \(-0.997542\pi\)
0.653253 + 0.757140i \(0.273404\pi\)
\(38\) 17.4187 22.9140i 0.458388 0.602999i
\(39\) −2.16036 19.8641i −0.0553937 0.509337i
\(40\) 9.96832 + 2.76769i 0.249208 + 0.0691923i
\(41\) 20.7356 30.5827i 0.505746 0.745920i −0.486024 0.873945i \(-0.661553\pi\)
0.991771 + 0.128025i \(0.0408638\pi\)
\(42\) −4.63993 7.71162i −0.110475 0.183610i
\(43\) −7.43227 + 0.402966i −0.172844 + 0.00937131i −0.140358 0.990101i \(-0.544825\pi\)
−0.0324860 + 0.999472i \(0.510342\pi\)
\(44\) 10.5068 + 11.0919i 0.238791 + 0.252089i
\(45\) 3.57840 2.72023i 0.0795201 0.0604496i
\(46\) 15.9643 3.51400i 0.347049 0.0763914i
\(47\) 8.89224 7.55314i 0.189197 0.160705i −0.547782 0.836621i \(-0.684528\pi\)
0.736979 + 0.675916i \(0.236252\pi\)
\(48\) 0.504010 9.29592i 0.0105002 0.193665i
\(49\) −9.81462 18.5123i −0.200298 0.377803i
\(50\) 4.79944 21.8041i 0.0959889 0.436082i
\(51\) −6.17059 + 2.85482i −0.120992 + 0.0559769i
\(52\) 18.0647 30.0238i 0.347398 0.577381i
\(53\) −2.06176 + 3.88889i −0.0389011 + 0.0733752i −0.902201 0.431317i \(-0.858049\pi\)
0.863299 + 0.504692i \(0.168394\pi\)
\(54\) 3.88565 + 3.30050i 0.0719565 + 0.0611204i
\(55\) −5.18300 + 5.47162i −0.0942363 + 0.0994840i
\(56\) 3.95356 36.3524i 0.0705992 0.649149i
\(57\) 18.8073 47.2027i 0.329952 0.828118i
\(58\) 9.20397i 0.158689i
\(59\) −54.8533 + 21.7283i −0.929716 + 0.368276i
\(60\) 7.88242 0.131374
\(61\) −43.9651 17.5173i −0.720740 0.287169i −0.0192162 0.999815i \(-0.506117\pi\)
−0.701523 + 0.712646i \(0.747496\pi\)
\(62\) 14.1884 + 1.54308i 0.228845 + 0.0248884i
\(63\) −11.5345 10.9260i −0.183087 0.173429i
\(64\) −6.97407 + 8.21050i −0.108970 + 0.128289i
\(65\) 15.2714 + 8.09639i 0.234945 + 0.124560i
\(66\) −7.32456 4.40704i −0.110978 0.0667733i
\(67\) 6.01377 + 12.9985i 0.0897577 + 0.194008i 0.947255 0.320480i \(-0.103844\pi\)
−0.857498 + 0.514488i \(0.827982\pi\)
\(68\) −11.6440 2.56305i −0.171236 0.0376919i
\(69\) 25.4954 13.5168i 0.369499 0.195896i
\(70\) 7.77398 + 0.421493i 0.111057 + 0.00602133i
\(71\) −12.3398 14.5276i −0.173800 0.204614i 0.668364 0.743834i \(-0.266995\pi\)
−0.842165 + 0.539221i \(0.818719\pi\)
\(72\) 4.45291 + 20.2298i 0.0618459 + 0.280969i
\(73\) 39.0998 + 51.4349i 0.535614 + 0.704588i 0.981707 0.190399i \(-0.0609781\pi\)
−0.446093 + 0.894986i \(0.647185\pi\)
\(74\) 21.7626 20.6146i 0.294089 0.278576i
\(75\) −2.13377 39.3551i −0.0284503 0.524734i
\(76\) 76.3493 45.9378i 1.00460 0.604445i
\(77\) 22.0489 + 14.9495i 0.286350 + 0.194150i
\(78\) −5.24478 + 18.8900i −0.0672408 + 0.242179i
\(79\) −101.382 + 11.0260i −1.28332 + 0.139569i −0.724242 0.689546i \(-0.757810\pi\)
−0.559078 + 0.829115i \(0.688845\pi\)
\(80\) 6.41117 + 4.87364i 0.0801396 + 0.0609206i
\(81\) 8.16818 + 3.77900i 0.100842 + 0.0466543i
\(82\) −30.0062 + 20.3447i −0.365929 + 0.248106i
\(83\) −35.3254 104.842i −0.425607 1.26316i −0.919313 0.393528i \(-0.871255\pi\)
0.493706 0.869629i \(-0.335642\pi\)
\(84\) −4.50742 27.4940i −0.0536597 0.327310i
\(85\) 0.951520 5.80402i 0.0111944 0.0682825i
\(86\) 6.92059 + 2.33182i 0.0804720 + 0.0271142i
\(87\) 4.34681 + 15.6558i 0.0499634 + 0.179952i
\(88\) −12.8554 32.2646i −0.146084 0.366643i
\(89\) −88.4760 + 35.2521i −0.994113 + 0.396091i −0.809755 0.586768i \(-0.800400\pi\)
−0.184358 + 0.982859i \(0.559021\pi\)
\(90\) −4.24947 + 1.17986i −0.0472163 + 0.0131095i
\(91\) 19.5077 57.8968i 0.214370 0.636228i
\(92\) 49.9372 + 8.18679i 0.542796 + 0.0889869i
\(93\) 24.8630 4.07608i 0.267344 0.0438289i
\(94\) −10.8480 + 3.65510i −0.115404 + 0.0388841i
\(95\) 24.6669 + 36.3809i 0.259651 + 0.382957i
\(96\) −23.9215 + 51.7056i −0.249183 + 0.538600i
\(97\) −30.5163 + 40.1435i −0.314601 + 0.413850i −0.926031 0.377448i \(-0.876802\pi\)
0.611430 + 0.791299i \(0.290595\pi\)
\(98\) 2.22272 + 20.4376i 0.0226808 + 0.208547i
\(99\) −14.5403 4.03709i −0.146872 0.0407787i
\(100\) 38.7864 57.2057i 0.387864 0.572057i
\(101\) 17.0143 + 28.2780i 0.168458 + 0.279980i 0.929573 0.368637i \(-0.120175\pi\)
−0.761115 + 0.648617i \(0.775348\pi\)
\(102\) 6.66103 0.361150i 0.0653042 0.00354069i
\(103\) 46.2149 + 48.7885i 0.448688 + 0.473674i 0.910622 0.413240i \(-0.135603\pi\)
−0.461934 + 0.886914i \(0.652844\pi\)
\(104\) −63.4118 + 48.2044i −0.609729 + 0.463504i
\(105\) 13.4225 2.95451i 0.127833 0.0281382i
\(106\) 3.29151 2.79583i 0.0310519 0.0263758i
\(107\) −6.97563 + 128.658i −0.0651928 + 1.20241i 0.764662 + 0.644431i \(0.222906\pi\)
−0.829855 + 0.557979i \(0.811577\pi\)
\(108\) 7.39267 + 13.9441i 0.0684506 + 0.129112i
\(109\) −27.0204 + 122.755i −0.247894 + 1.12619i 0.673994 + 0.738736i \(0.264577\pi\)
−0.921888 + 0.387456i \(0.873354\pi\)
\(110\) 6.71119 3.10493i 0.0610108 0.0282266i
\(111\) 27.2821 45.3431i 0.245784 0.408497i
\(112\) 13.3333 25.1492i 0.119047 0.224546i
\(113\) 141.321 + 120.039i 1.25063 + 1.06229i 0.995439 + 0.0953993i \(0.0304128\pi\)
0.255187 + 0.966892i \(0.417863\pi\)
\(114\) −34.2843 + 36.1935i −0.300740 + 0.317487i
\(115\) −2.69895 + 24.8165i −0.0234692 + 0.215795i
\(116\) −10.5463 + 26.4692i −0.0909162 + 0.228182i
\(117\) 34.6086i 0.295800i
\(118\) 57.8876 + 0.115987i 0.490573 + 0.000982944i
\(119\) −20.7886 −0.174694
\(120\) −16.6461 6.63242i −0.138718 0.0552702i
\(121\) −95.1370 10.3468i −0.786256 0.0855105i
\(122\) 33.7110 + 31.9328i 0.276320 + 0.261744i
\(123\) −41.4317 + 48.7772i −0.336843 + 0.396563i
\(124\) 39.0355 + 20.6953i 0.314802 + 0.166898i
\(125\) 61.3101 + 36.8891i 0.490481 + 0.295112i
\(126\) 6.54535 + 14.1475i 0.0519472 + 0.112282i
\(127\) −180.014 39.6241i −1.41744 0.312001i −0.560812 0.827943i \(-0.689511\pi\)
−0.856623 + 0.515942i \(0.827442\pi\)
\(128\) −106.905 + 56.6772i −0.835192 + 0.442791i
\(129\) 12.8731 + 0.697958i 0.0997913 + 0.00541053i
\(130\) −10.9790 12.9255i −0.0844542 0.0994272i
\(131\) 23.6486 + 107.437i 0.180524 + 0.820127i 0.976623 + 0.214961i \(0.0689624\pi\)
−0.796099 + 0.605166i \(0.793107\pi\)
\(132\) −16.0145 21.0667i −0.121322 0.159596i
\(133\) 112.792 106.842i 0.848060 0.803325i
\(134\) −0.760775 14.0317i −0.00567742 0.104714i
\(135\) −6.67106 + 4.01384i −0.0494152 + 0.0297322i
\(136\) 22.4334 + 15.2102i 0.164951 + 0.111840i
\(137\) 57.7806 208.107i 0.421757 1.51903i −0.382052 0.924141i \(-0.624782\pi\)
0.803808 0.594889i \(-0.202804\pi\)
\(138\) −28.1469 + 3.06116i −0.203963 + 0.0221823i
\(139\) −63.4221 48.2122i −0.456274 0.346850i 0.351656 0.936129i \(-0.385619\pi\)
−0.807930 + 0.589279i \(0.799412\pi\)
\(140\) 21.8738 + 10.1199i 0.156241 + 0.0722849i
\(141\) −16.7260 + 11.3405i −0.118624 + 0.0804291i
\(142\) 5.97147 + 17.7227i 0.0420526 + 0.124808i
\(143\) −9.38795 57.2639i −0.0656500 0.400447i
\(144\) −2.60868 + 15.9122i −0.0181158 + 0.110502i
\(145\) −13.3197 4.48793i −0.0918600 0.0309512i
\(146\) −16.9589 61.0805i −0.116157 0.418360i
\(147\) 13.4330 + 33.7143i 0.0913810 + 0.229349i
\(148\) 86.2069 34.3480i 0.582479 0.232081i
\(149\) −211.770 + 58.7978i −1.42128 + 0.394616i −0.891307 0.453400i \(-0.850211\pi\)
−0.529971 + 0.848016i \(0.677797\pi\)
\(150\) −12.3473 + 36.6456i −0.0823157 + 0.244304i
\(151\) 107.188 + 17.5725i 0.709852 + 0.116374i 0.505882 0.862603i \(-0.331167\pi\)
0.203970 + 0.978977i \(0.434615\pi\)
\(152\) −199.888 + 32.7699i −1.31505 + 0.215592i
\(153\) 11.1597 3.76015i 0.0729395 0.0245762i
\(154\) −14.6677 21.6333i −0.0952449 0.140476i
\(155\) −9.15148 + 19.7806i −0.0590418 + 0.127617i
\(156\) −36.7281 + 48.3150i −0.235436 + 0.309711i
\(157\) 6.50640 + 59.8254i 0.0414421 + 0.381053i 0.996431 + 0.0844118i \(0.0269011\pi\)
−0.954989 + 0.296642i \(0.904133\pi\)
\(158\) 96.4105 + 26.7682i 0.610193 + 0.169419i
\(159\) 4.27840 6.31016i 0.0269082 0.0396866i
\(160\) −25.4081 42.2286i −0.158801 0.263929i
\(161\) 88.1036 4.77684i 0.547228 0.0296698i
\(162\) −6.07261 6.41078i −0.0374853 0.0395727i
\(163\) 112.514 85.5309i 0.690270 0.524729i −0.200210 0.979753i \(-0.564162\pi\)
0.890479 + 0.455024i \(0.150369\pi\)
\(164\) −109.605 + 24.1258i −0.668322 + 0.147109i
\(165\) 9.94925 8.45097i 0.0602985 0.0512180i
\(166\) −5.87665 + 108.388i −0.0354015 + 0.652942i
\(167\) −41.2336 77.7748i −0.246908 0.465717i 0.728820 0.684706i \(-0.240069\pi\)
−0.975728 + 0.218988i \(0.929724\pi\)
\(168\) −13.6152 + 61.8546i −0.0810431 + 0.368182i
\(169\) 32.5967 15.0809i 0.192880 0.0892358i
\(170\) −2.97506 + 4.94459i −0.0175004 + 0.0290858i
\(171\) −41.2238 + 77.7563i −0.241075 + 0.454715i
\(172\) 17.2306 + 14.6358i 0.100178 + 0.0850920i
\(173\) 224.340 236.833i 1.29676 1.36898i 0.406419 0.913687i \(-0.366777\pi\)
0.890344 0.455289i \(-0.150464\pi\)
\(174\) 1.72361 15.8483i 0.00990578 0.0910821i
\(175\) 44.6050 111.950i 0.254886 0.639715i
\(176\) 27.0363i 0.153615i
\(177\) 98.5207 27.1416i 0.556614 0.153343i
\(178\) 93.4448 0.524971
\(179\) −112.838 44.9588i −0.630380 0.251166i 0.0329925 0.999456i \(-0.489496\pi\)
−0.663373 + 0.748289i \(0.730876\pi\)
\(180\) −13.5727 1.47612i −0.0754040 0.00820068i
\(181\) 13.8627 + 13.1314i 0.0765894 + 0.0725494i 0.725037 0.688710i \(-0.241823\pi\)
−0.648447 + 0.761259i \(0.724581\pi\)
\(182\) −38.8063 + 45.6864i −0.213222 + 0.251024i
\(183\) 72.4230 + 38.3962i 0.395754 + 0.209816i
\(184\) −98.5691 59.3071i −0.535702 0.322321i
\(185\) 19.2212 + 41.5460i 0.103899 + 0.224573i
\(186\) −24.1420 5.31406i −0.129796 0.0285702i
\(187\) −17.4451 + 9.24881i −0.0932894 + 0.0494589i
\(188\) −35.3852 1.91853i −0.188219 0.0102049i
\(189\) 17.8151 + 20.9735i 0.0942597 + 0.110971i
\(190\) −9.27084 42.1179i −0.0487939 0.221673i
\(191\) −44.2857 58.2569i −0.231863 0.305010i 0.665418 0.746471i \(-0.268253\pi\)
−0.897280 + 0.441461i \(0.854460\pi\)
\(192\) 13.5462 12.8316i 0.0705531 0.0668314i
\(193\) −17.9562 331.182i −0.0930372 1.71597i −0.557333 0.830289i \(-0.688175\pi\)
0.464296 0.885680i \(-0.346307\pi\)
\(194\) 42.3930 25.5070i 0.218520 0.131479i
\(195\) −24.7796 16.8010i −0.127075 0.0861590i
\(196\) −17.0260 + 61.3222i −0.0868674 + 0.312868i
\(197\) 215.952 23.4862i 1.09620 0.119219i 0.457899 0.889004i \(-0.348602\pi\)
0.638303 + 0.769785i \(0.279637\pi\)
\(198\) 11.7868 + 8.96012i 0.0595295 + 0.0452532i
\(199\) −44.0318 20.3713i −0.221265 0.102368i 0.306125 0.951991i \(-0.400967\pi\)
−0.527390 + 0.849623i \(0.676829\pi\)
\(200\) −130.043 + 88.1716i −0.650217 + 0.440858i
\(201\) −7.92088 23.5083i −0.0394074 0.116957i
\(202\) −5.23847 31.9532i −0.0259330 0.158184i
\(203\) −8.03735 + 49.0257i −0.0395929 + 0.241506i
\(204\) 19.5699 + 6.59386i 0.0959308 + 0.0323228i
\(205\) −14.8110 53.3443i −0.0722486 0.260216i
\(206\) −24.4051 61.2523i −0.118472 0.297341i
\(207\) −46.4317 + 18.5001i −0.224308 + 0.0893724i
\(208\) −59.7456 + 16.5883i −0.287238 + 0.0797513i
\(209\) 47.1173 139.839i 0.225442 0.669087i
\(210\) −13.3071 2.18158i −0.0633670 0.0103885i
\(211\) 185.108 30.3469i 0.877290 0.143824i 0.293724 0.955890i \(-0.405105\pi\)
0.583566 + 0.812066i \(0.301657\pi\)
\(212\) 12.6694 4.26883i 0.0597614 0.0201360i
\(213\) 18.5274 + 27.3258i 0.0869830 + 0.128290i
\(214\) 53.0815 114.734i 0.248044 0.536139i
\(215\) −6.74907 + 8.87825i −0.0313910 + 0.0412942i
\(216\) −3.87907 35.6675i −0.0179587 0.165127i
\(217\) 74.2282 + 20.6094i 0.342065 + 0.0949740i
\(218\) 69.2079 102.074i 0.317467 0.468229i
\(219\) −57.6937 95.8877i −0.263442 0.437844i
\(220\) 22.8581 1.23933i 0.103900 0.00563331i
\(221\) 31.1419 + 32.8761i 0.140913 + 0.148760i
\(222\) −41.3334 + 31.4208i −0.186187 + 0.141535i
\(223\) −24.3694 + 5.36412i −0.109280 + 0.0240543i −0.269274 0.963064i \(-0.586784\pi\)
0.159994 + 0.987118i \(0.448853\pi\)
\(224\) −132.765 + 112.772i −0.592701 + 0.503445i
\(225\) −3.69580 + 68.1650i −0.0164258 + 0.302956i
\(226\) −85.2153 160.733i −0.377059 0.711209i
\(227\) 9.48997 43.1134i 0.0418060 0.189927i −0.951090 0.308915i \(-0.900034\pi\)
0.992896 + 0.118988i \(0.0379651\pi\)
\(228\) −140.068 + 64.8025i −0.614335 + 0.284221i
\(229\) 127.441 211.808i 0.556510 0.924927i −0.443085 0.896479i \(-0.646116\pi\)
0.999595 0.0284472i \(-0.00905624\pi\)
\(230\) 11.4723 21.6391i 0.0498798 0.0940832i
\(231\) −35.1664 29.8706i −0.152236 0.129310i
\(232\) 44.5433 47.0238i 0.191997 0.202689i
\(233\) −28.6557 + 263.485i −0.122986 + 1.13084i 0.756194 + 0.654347i \(0.227056\pi\)
−0.879180 + 0.476489i \(0.841909\pi\)
\(234\) 12.5685 31.5445i 0.0537114 0.134805i
\(235\) 17.4811i 0.0743876i
\(236\) 166.343 + 66.6635i 0.704842 + 0.282473i
\(237\) 176.635 0.745294
\(238\) 18.9481 + 7.54960i 0.0796137 + 0.0317210i
\(239\) −109.139 11.8696i −0.456648 0.0496634i −0.123095 0.992395i \(-0.539282\pi\)
−0.333553 + 0.942731i \(0.608248\pi\)
\(240\) −10.1267 9.59252i −0.0421946 0.0399688i
\(241\) −159.800 + 188.131i −0.663069 + 0.780626i −0.986170 0.165739i \(-0.946999\pi\)
0.323100 + 0.946365i \(0.395275\pi\)
\(242\) 82.9563 + 43.9807i 0.342795 + 0.181738i
\(243\) −13.3571 8.03669i −0.0549674 0.0330728i
\(244\) 60.3577 + 130.461i 0.247368 + 0.534676i
\(245\) −30.6605 6.74888i −0.125145 0.0275464i
\(246\) 55.4775 29.4123i 0.225518 0.119562i
\(247\) −337.930 18.3220i −1.36814 0.0741783i
\(248\) −65.0219 76.5496i −0.262185 0.308668i
\(249\) 41.1932 + 187.142i 0.165434 + 0.751576i
\(250\) −42.4853 55.8884i −0.169941 0.223554i
\(251\) 34.4008 32.5862i 0.137055 0.129825i −0.616102 0.787667i \(-0.711289\pi\)
0.753156 + 0.657841i \(0.228530\pi\)
\(252\) 2.61257 + 48.1860i 0.0103673 + 0.191214i
\(253\) 71.8084 43.2057i 0.283828 0.170773i
\(254\) 149.687 + 101.490i 0.589317 + 0.399567i
\(255\) −2.72532 + 9.81573i −0.0106875 + 0.0384931i
\(256\) 160.861 17.4946i 0.628361 0.0683384i
\(257\) −2.55756 1.94421i −0.00995160 0.00756501i 0.600187 0.799860i \(-0.295093\pi\)
−0.610138 + 0.792295i \(0.708886\pi\)
\(258\) −11.4799 5.31115i −0.0444956 0.0205859i
\(259\) 133.922 90.8014i 0.517073 0.350584i
\(260\) −16.7634 49.7520i −0.0644747 0.191354i
\(261\) −4.55294 27.7717i −0.0174442 0.106405i
\(262\) 17.4619 106.513i 0.0666484 0.406537i
\(263\) 209.037 + 70.4329i 0.794819 + 0.267806i 0.687278 0.726395i \(-0.258806\pi\)
0.107541 + 0.994201i \(0.465702\pi\)
\(264\) 16.0936 + 57.9637i 0.0609604 + 0.219560i
\(265\) 2.44107 + 6.12664i 0.00921160 + 0.0231194i
\(266\) −141.607 + 56.4212i −0.532355 + 0.212110i
\(267\) 158.948 44.1318i 0.595312 0.165287i
\(268\) 13.8902 41.2246i 0.0518290 0.153823i
\(269\) −75.9700 12.4546i −0.282416 0.0462998i 0.0189090 0.999821i \(-0.493981\pi\)
−0.301325 + 0.953521i \(0.597429\pi\)
\(270\) 7.53809 1.23581i 0.0279189 0.00457706i
\(271\) −368.573 + 124.187i −1.36005 + 0.458254i −0.902408 0.430883i \(-0.858202\pi\)
−0.457642 + 0.889137i \(0.651306\pi\)
\(272\) 11.8402 + 17.4630i 0.0435303 + 0.0642023i
\(273\) −44.4324 + 96.0391i −0.162756 + 0.351792i
\(274\) −128.241 + 168.698i −0.468033 + 0.615687i
\(275\) −12.3754 113.789i −0.0450013 0.413780i
\(276\) −84.4537 23.4484i −0.305992 0.0849581i
\(277\) −40.1182 + 59.1699i −0.144831 + 0.213610i −0.893184 0.449690i \(-0.851534\pi\)
0.748354 + 0.663300i \(0.230845\pi\)
\(278\) 40.2981 + 66.9760i 0.144957 + 0.240921i
\(279\) −43.5749 + 2.36256i −0.156182 + 0.00846796i
\(280\) −37.6781 39.7763i −0.134565 0.142058i
\(281\) 331.493 251.994i 1.17969 0.896777i 0.183418 0.983035i \(-0.441284\pi\)
0.996273 + 0.0862577i \(0.0274909\pi\)
\(282\) 19.3635 4.26224i 0.0686650 0.0151143i
\(283\) −165.030 + 140.178i −0.583146 + 0.495329i −0.889713 0.456520i \(-0.849096\pi\)
0.306567 + 0.951849i \(0.400820\pi\)
\(284\) −3.13437 + 57.8100i −0.0110365 + 0.203556i
\(285\) −35.6608 67.2635i −0.125126 0.236012i
\(286\) −12.2392 + 55.6033i −0.0427945 + 0.194417i
\(287\) −177.596 + 82.1648i −0.618803 + 0.286289i
\(288\) 50.8732 84.5519i 0.176643 0.293583i
\(289\) −128.152 + 241.721i −0.443434 + 0.836405i
\(290\) 10.5106 + 8.92777i 0.0362434 + 0.0307854i
\(291\) 60.0634 63.4082i 0.206404 0.217898i
\(292\) 21.2173 195.090i 0.0726621 0.668117i
\(293\) −162.978 + 409.044i −0.556239 + 1.39605i 0.334870 + 0.942264i \(0.391308\pi\)
−0.891109 + 0.453790i \(0.850072\pi\)
\(294\) 35.6077i 0.121115i
\(295\) −28.3943 + 83.7166i −0.0962519 + 0.283785i
\(296\) −210.953 −0.712679
\(297\) 24.2809 + 9.67439i 0.0817538 + 0.0325737i
\(298\) 214.374 + 23.3146i 0.719376 + 0.0782368i
\(299\) −139.536 132.175i −0.466675 0.442058i
\(300\) −77.4991 + 91.2389i −0.258330 + 0.304130i
\(301\) 34.8268 + 18.4640i 0.115704 + 0.0613422i
\(302\) −91.3160 54.9430i −0.302371 0.181931i
\(303\) −24.0013 51.8780i −0.0792122 0.171214i
\(304\) −153.991 33.8961i −0.506551 0.111500i
\(305\) −62.6499 + 33.2149i −0.205409 + 0.108901i
\(306\) −11.5372 0.625531i −0.0377034 0.00204422i
\(307\) 240.557 + 283.206i 0.783575 + 0.922495i 0.998534 0.0541276i \(-0.0172378\pi\)
−0.214959 + 0.976623i \(0.568962\pi\)
\(308\) −17.3938 79.0207i −0.0564733 0.256561i
\(309\) −70.4408 92.6633i −0.227964 0.299881i
\(310\) 15.5248 14.7058i 0.0500799 0.0474382i
\(311\) −12.7207 234.619i −0.0409025 0.754403i −0.944999 0.327074i \(-0.893937\pi\)
0.904096 0.427329i \(-0.140545\pi\)
\(312\) 118.216 71.1280i 0.378896 0.227974i
\(313\) 289.414 + 196.227i 0.924644 + 0.626924i 0.927803 0.373071i \(-0.121695\pi\)
−0.00315862 + 0.999995i \(0.501005\pi\)
\(314\) 15.7959 56.8915i 0.0503053 0.181183i
\(315\) −23.6654 + 2.57377i −0.0751284 + 0.00817070i
\(316\) 246.589 + 187.452i 0.780346 + 0.593203i
\(317\) 493.430 + 228.285i 1.55656 + 0.720142i 0.994280 0.106803i \(-0.0340615\pi\)
0.562282 + 0.826946i \(0.309924\pi\)
\(318\) −6.19120 + 4.19774i −0.0194692 + 0.0132004i
\(319\) 15.0667 + 44.7165i 0.0472312 + 0.140177i
\(320\) 2.61130 + 15.9282i 0.00816032 + 0.0497757i
\(321\) 36.1048 220.229i 0.112476 0.686073i
\(322\) −82.0380 27.6418i −0.254776 0.0858442i
\(323\) 30.8074 + 110.958i 0.0953789 + 0.343524i
\(324\) −10.1181 25.3946i −0.0312289 0.0783785i
\(325\) −243.862 + 97.1637i −0.750346 + 0.298965i
\(326\) −133.614 + 37.0977i −0.409858 + 0.113797i
\(327\) 69.5144 206.311i 0.212582 0.630922i
\(328\) 251.764 + 41.2746i 0.767573 + 0.125837i
\(329\) −60.9743 + 9.99623i −0.185332 + 0.0303837i
\(330\) −12.1374 + 4.08958i −0.0367801 + 0.0123927i
\(331\) 219.354 + 323.523i 0.662700 + 0.977410i 0.999360 + 0.0357833i \(0.0113926\pi\)
−0.336659 + 0.941627i \(0.609297\pi\)
\(332\) −141.096 + 304.974i −0.424988 + 0.918597i
\(333\) −55.4682 + 72.9672i −0.166571 + 0.219121i
\(334\) 9.33820 + 85.8633i 0.0279587 + 0.257076i
\(335\) 20.6771 + 5.74098i 0.0617228 + 0.0171373i
\(336\) −27.6681 + 40.8074i −0.0823456 + 0.121451i
\(337\) 66.0180 + 109.723i 0.195899 + 0.325587i 0.939200 0.343370i \(-0.111569\pi\)
−0.743301 + 0.668957i \(0.766741\pi\)
\(338\) −35.1875 + 1.90781i −0.104105 + 0.00564441i
\(339\) −220.860 233.159i −0.651506 0.687786i
\(340\) −14.2215 + 10.8109i −0.0418280 + 0.0317968i
\(341\) 71.4589 15.7293i 0.209557 0.0461269i
\(342\) 65.8120 55.9012i 0.192433 0.163454i
\(343\) −20.0567 + 369.924i −0.0584743 + 1.07849i
\(344\) −24.0728 45.4062i −0.0699792 0.131995i
\(345\) 9.29464 42.2260i 0.0269410 0.122394i
\(346\) −290.486 + 134.393i −0.839555 + 0.388419i
\(347\) 182.273 302.940i 0.525283 0.873027i −0.474692 0.880152i \(-0.657440\pi\)
0.999975 + 0.00712528i \(0.00226807\pi\)
\(348\) 23.1164 43.6022i 0.0664265 0.125294i
\(349\) −315.800 268.243i −0.904872 0.768606i 0.0685440 0.997648i \(-0.478165\pi\)
−0.973416 + 0.229043i \(0.926441\pi\)
\(350\) −81.3117 + 85.8397i −0.232319 + 0.245256i
\(351\) 6.48107 59.5924i 0.0184646 0.169779i
\(352\) −61.2401 + 153.701i −0.173977 + 0.436651i
\(353\) 512.108i 1.45073i −0.688364 0.725366i \(-0.741671\pi\)
0.688364 0.725366i \(-0.258329\pi\)
\(354\) −99.6548 11.0402i −0.281511 0.0311870i
\(355\) −28.5595 −0.0804492
\(356\) 268.733 + 107.073i 0.754867 + 0.300766i
\(357\) 35.7959 + 3.89304i 0.100269 + 0.0109049i
\(358\) 86.5205 + 81.9566i 0.241677 + 0.228929i
\(359\) −199.073 + 234.367i −0.554520 + 0.652832i −0.965986 0.258593i \(-0.916741\pi\)
0.411466 + 0.911425i \(0.365017\pi\)
\(360\) 27.4209 + 14.5376i 0.0761691 + 0.0403823i
\(361\) −428.090 257.573i −1.18584 0.713498i
\(362\) −7.86652 17.0032i −0.0217307 0.0469702i
\(363\) 161.878 + 35.6321i 0.445946 + 0.0981602i
\(364\) −163.950 + 86.9209i −0.450413 + 0.238794i
\(365\) 96.6631 + 5.24092i 0.264831 + 0.0143587i
\(366\) −52.0669 61.2979i −0.142259 0.167481i
\(367\) −7.62496 34.6405i −0.0207765 0.0943884i 0.965091 0.261913i \(-0.0843535\pi\)
−0.985868 + 0.167525i \(0.946422\pi\)
\(368\) −54.1924 71.2889i −0.147262 0.193720i
\(369\) 80.4756 76.2305i 0.218091 0.206587i
\(370\) −2.43159 44.8481i −0.00657187 0.121211i
\(371\) 19.9739 12.0179i 0.0538381 0.0323933i
\(372\) −63.3395 42.9453i −0.170268 0.115444i
\(373\) −63.2597 + 227.841i −0.169597 + 0.610834i 0.829066 + 0.559150i \(0.188872\pi\)
−0.998664 + 0.0516835i \(0.983541\pi\)
\(374\) 19.2594 2.09458i 0.0514957 0.00560049i
\(375\) −98.6616 75.0006i −0.263098 0.200002i
\(376\) 73.1123 + 33.8253i 0.194447 + 0.0899610i
\(377\) 89.5716 60.7310i 0.237590 0.161090i
\(378\) −8.62104 25.5863i −0.0228070 0.0676887i
\(379\) 34.3997 + 209.829i 0.0907644 + 0.553638i 0.992587 + 0.121533i \(0.0387809\pi\)
−0.901823 + 0.432106i \(0.857771\pi\)
\(380\) 21.5989 131.747i 0.0568391 0.346703i
\(381\) 302.546 + 101.940i 0.794083 + 0.267558i
\(382\) 19.2082 + 69.1819i 0.0502834 + 0.181104i
\(383\) −85.5999 214.840i −0.223498 0.560939i 0.773878 0.633335i \(-0.218315\pi\)
−0.997376 + 0.0723966i \(0.976935\pi\)
\(384\) 194.692 77.5726i 0.507012 0.202012i
\(385\) 38.4591 10.6781i 0.0998937 0.0277353i
\(386\) −103.906 + 308.381i −0.269186 + 0.798915i
\(387\) −22.0354 3.61252i −0.0569391 0.00933468i
\(388\) 151.142 24.7785i 0.389542 0.0638622i
\(389\) −195.468 + 65.8607i −0.502488 + 0.169308i −0.559119 0.829087i \(-0.688861\pi\)
0.0566314 + 0.998395i \(0.481964\pi\)
\(390\) 16.4843 + 24.3125i 0.0422673 + 0.0623397i
\(391\) −27.4604 + 59.3547i −0.0702312 + 0.151802i
\(392\) 87.5533 115.174i 0.223350 0.293812i
\(393\) −20.6010 189.423i −0.0524200 0.481994i
\(394\) −205.362 57.0184i −0.521222 0.144717i
\(395\) −85.7487 + 126.470i −0.217085 + 0.320177i
\(396\) 23.6302 + 39.2737i 0.0596723 + 0.0991761i
\(397\) 472.660 25.6269i 1.19058 0.0645514i 0.551824 0.833960i \(-0.313932\pi\)
0.638756 + 0.769409i \(0.279449\pi\)
\(398\) 32.7354 + 34.5583i 0.0822496 + 0.0868299i
\(399\) −214.224 + 162.849i −0.536903 + 0.408143i
\(400\) −119.446 + 26.2921i −0.298616 + 0.0657303i
\(401\) −138.397 + 117.556i −0.345131 + 0.293157i −0.803139 0.595791i \(-0.796839\pi\)
0.458009 + 0.888948i \(0.348563\pi\)
\(402\) −1.31770 + 24.3036i −0.00327786 + 0.0604566i
\(403\) −78.6031 148.261i −0.195045 0.367894i
\(404\) 21.5483 97.8949i 0.0533374 0.242314i
\(405\) 12.2385 5.66215i 0.0302186 0.0139806i
\(406\) 25.1299 41.7663i 0.0618964 0.102873i
\(407\) 71.9855 135.779i 0.176869 0.333609i
\(408\) −35.7796 30.3914i −0.0876950 0.0744888i
\(409\) −10.0727 + 10.6336i −0.0246275 + 0.0259990i −0.738193 0.674590i \(-0.764321\pi\)
0.713565 + 0.700589i \(0.247079\pi\)
\(410\) −5.87286 + 54.0001i −0.0143241 + 0.131708i
\(411\) −138.464 + 347.519i −0.336896 + 0.845544i
\(412\) 204.116i 0.495428i
\(413\) 308.242 + 51.1681i 0.746348 + 0.123894i
\(414\) 49.0393 0.118453
\(415\) −153.991 61.3556i −0.371062 0.147845i
\(416\) 377.227 + 41.0259i 0.906796 + 0.0986200i
\(417\) 100.178 + 94.8934i 0.240234 + 0.227562i
\(418\) −93.7298 + 110.347i −0.224234 + 0.263989i
\(419\) −192.996 102.320i −0.460612 0.244201i 0.221909 0.975067i \(-0.428771\pi\)
−0.682520 + 0.730867i \(0.739116\pi\)
\(420\) −35.7693 21.5217i −0.0851650 0.0512421i
\(421\) 133.281 + 288.083i 0.316583 + 0.684283i 0.998906 0.0467683i \(-0.0148922\pi\)
−0.682323 + 0.731051i \(0.739030\pi\)
\(422\) −179.740 39.5638i −0.425924 0.0937530i
\(423\) 30.9241 16.3949i 0.0731067 0.0387587i
\(424\) −30.3472 1.64538i −0.0715736 0.00388061i
\(425\) 57.8262 + 68.0782i 0.136062 + 0.160184i
\(426\) −6.96337 31.6349i −0.0163459 0.0742603i
\(427\) 151.679 + 199.531i 0.355221 + 0.467285i
\(428\) 284.121 269.133i 0.663833 0.628816i
\(429\) 5.44140 + 100.361i 0.0126839 + 0.233941i
\(430\) 9.37576 5.64121i 0.0218041 0.0131191i
\(431\) 601.615 + 407.905i 1.39586 + 0.946416i 0.999600 + 0.0282765i \(0.00900190\pi\)
0.396258 + 0.918139i \(0.370308\pi\)
\(432\) 7.47172 26.9107i 0.0172957 0.0622933i
\(433\) −6.49928 + 0.706839i −0.0150099 + 0.00163242i −0.115621 0.993293i \(-0.536886\pi\)
0.100611 + 0.994926i \(0.467920\pi\)
\(434\) −60.1718 45.7414i −0.138645 0.105395i
\(435\) 22.0947 + 10.2221i 0.0507924 + 0.0234991i
\(436\) 315.991 214.247i 0.724751 0.491393i
\(437\) −156.060 463.170i −0.357117 1.05988i
\(438\) 17.7631 + 108.350i 0.0405551 + 0.247375i
\(439\) 39.8497 243.073i 0.0907739 0.553696i −0.901810 0.432133i \(-0.857761\pi\)
0.992584 0.121563i \(-0.0387907\pi\)
\(440\) −49.3146 16.6160i −0.112079 0.0377637i
\(441\) −16.8167 60.5681i −0.0381330 0.137343i
\(442\) −16.4454 41.2748i −0.0372068 0.0933819i
\(443\) −48.5649 + 19.3500i −0.109627 + 0.0436795i −0.424307 0.905518i \(-0.639482\pi\)
0.314680 + 0.949198i \(0.398103\pi\)
\(444\) −154.872 + 42.9999i −0.348810 + 0.0968466i
\(445\) −45.5645 + 135.230i −0.102392 + 0.303889i
\(446\) 24.1599 + 3.96081i 0.0541701 + 0.00888074i
\(447\) 375.658 61.5860i 0.840398 0.137776i
\(448\) 54.0648 18.2165i 0.120680 0.0406619i
\(449\) −32.0031 47.2011i −0.0712764 0.105125i 0.790380 0.612617i \(-0.209883\pi\)
−0.861657 + 0.507492i \(0.830573\pi\)
\(450\) 28.1234 60.7877i 0.0624965 0.135084i
\(451\) −112.478 + 147.962i −0.249397 + 0.328076i
\(452\) −60.8913 559.886i −0.134715 1.23869i
\(453\) −181.275 50.3309i −0.400166 0.111106i
\(454\) −24.3068 + 35.8499i −0.0535392 + 0.0789645i
\(455\) −47.1936 78.4364i −0.103722 0.172388i
\(456\) 350.323 18.9940i 0.768252 0.0416534i
\(457\) −295.687 312.153i −0.647018 0.683048i 0.317140 0.948379i \(-0.397278\pi\)
−0.964158 + 0.265330i \(0.914519\pi\)
\(458\) −193.078 + 146.774i −0.421568 + 0.320467i
\(459\) −19.9201 + 4.38474i −0.0433989 + 0.00955281i
\(460\) 57.7877 49.0853i 0.125625 0.106707i
\(461\) 32.3530 596.716i 0.0701801 1.29439i −0.725308 0.688425i \(-0.758302\pi\)
0.795488 0.605970i \(-0.207215\pi\)
\(462\) 21.2051 + 39.9970i 0.0458985 + 0.0865737i
\(463\) 144.451 656.247i 0.311989 1.41738i −0.515977 0.856602i \(-0.672571\pi\)
0.827966 0.560778i \(-0.189498\pi\)
\(464\) 45.7607 21.1711i 0.0986221 0.0456275i
\(465\) 19.4622 32.3464i 0.0418541 0.0695621i
\(466\) 121.806 229.750i 0.261386 0.493026i
\(467\) −155.560 132.134i −0.333106 0.282943i 0.465187 0.885213i \(-0.345987\pi\)
−0.798292 + 0.602270i \(0.794263\pi\)
\(468\) 72.2898 76.3154i 0.154465 0.163067i
\(469\) 8.20080 75.4052i 0.0174857 0.160779i
\(470\) −6.34843 + 15.9334i −0.0135073 + 0.0339008i
\(471\) 104.232i 0.221299i
\(472\) −295.191 280.744i −0.625405 0.594797i
\(473\) 37.4401 0.0791546
\(474\) −160.996 64.1467i −0.339654 0.135331i
\(475\) −663.630 72.1741i −1.39712 0.151946i
\(476\) 45.8410 + 43.4229i 0.0963047 + 0.0912246i
\(477\) −8.54865 + 10.0643i −0.0179217 + 0.0210991i
\(478\) 95.1655 + 50.4536i 0.199091 + 0.105551i
\(479\) −763.470 459.365i −1.59388 0.959008i −0.986340 0.164722i \(-0.947327\pi\)
−0.607544 0.794286i \(-0.707845\pi\)
\(480\) 35.8421 + 77.4714i 0.0746710 + 0.161399i
\(481\) −344.216 75.7676i −0.715625 0.157521i
\(482\) 213.973 113.441i 0.443928 0.235356i
\(483\) −152.600 8.27373i −0.315942 0.0171299i
\(484\) 188.175 + 221.536i 0.388790 + 0.457719i
\(485\) 16.2418 + 73.7872i 0.0334882 + 0.152139i
\(486\) 9.25589 + 12.1759i 0.0190450 + 0.0250533i
\(487\) 547.896 518.995i 1.12504 1.06570i 0.127777 0.991803i \(-0.459216\pi\)
0.997266 0.0738942i \(-0.0235427\pi\)
\(488\) −17.6912 326.294i −0.0362524 0.668636i
\(489\) −209.755 + 126.205i −0.428946 + 0.258088i
\(490\) 25.4950 + 17.2860i 0.0520306 + 0.0352776i
\(491\) 163.543 589.027i 0.333081 1.19965i −0.587542 0.809194i \(-0.699904\pi\)
0.920622 0.390454i \(-0.127682\pi\)
\(492\) 193.246 21.0168i 0.392777 0.0427171i
\(493\) −29.3149 22.2846i −0.0594622 0.0452020i
\(494\) 301.357 + 139.423i 0.610035 + 0.282232i
\(495\) −18.7142 + 12.6885i −0.0378064 + 0.0256334i
\(496\) −24.9645 74.0919i −0.0503316 0.149379i
\(497\) 16.3312 + 99.6159i 0.0328596 + 0.200434i
\(498\) 30.4166 185.533i 0.0610776 0.372557i
\(499\) 292.878 + 98.6820i 0.586929 + 0.197760i 0.597070 0.802189i \(-0.296331\pi\)
−0.0101407 + 0.999949i \(0.503228\pi\)
\(500\) −58.1417 209.408i −0.116283 0.418815i
\(501\) 56.4353 + 141.642i 0.112645 + 0.282718i
\(502\) −43.1891 + 17.2081i −0.0860340 + 0.0342791i
\(503\) −314.082 + 87.2044i −0.624417 + 0.173369i −0.565304 0.824883i \(-0.691241\pi\)
−0.0591132 + 0.998251i \(0.518827\pi\)
\(504\) 35.0274 103.958i 0.0694988 0.206265i
\(505\) 48.7961 + 7.99971i 0.0966258 + 0.0158410i
\(506\) −81.1413 + 13.3024i −0.160358 + 0.0262894i
\(507\) −58.9524 + 19.8634i −0.116277 + 0.0391782i
\(508\) 314.184 + 463.386i 0.618471 + 0.912177i
\(509\) −243.194 + 525.654i −0.477787 + 1.03272i 0.507475 + 0.861667i \(0.330579\pi\)
−0.985262 + 0.171053i \(0.945283\pi\)
\(510\) 6.04872 7.95695i 0.0118602 0.0156019i
\(511\) −36.9946 340.160i −0.0723965 0.665675i
\(512\) 313.385 + 87.0108i 0.612079 + 0.169943i
\(513\) 85.5443 126.168i 0.166753 0.245942i
\(514\) 1.62506 + 2.70088i 0.00316160 + 0.00525463i
\(515\) 100.543 5.45126i 0.195228 0.0105850i
\(516\) −26.9286 28.4281i −0.0521871 0.0550933i
\(517\) −46.7203 + 35.5158i −0.0903681 + 0.0686960i
\(518\) −155.040 + 34.1270i −0.299306 + 0.0658822i
\(519\) −430.642 + 365.790i −0.829752 + 0.704798i
\(520\) −6.46130 + 119.172i −0.0124256 + 0.229176i
\(521\) 51.7805 + 97.6684i 0.0993868 + 0.187463i 0.928219 0.372033i \(-0.121339\pi\)
−0.828833 + 0.559497i \(0.810994\pi\)
\(522\) −5.93574 + 26.9664i −0.0113712 + 0.0516597i
\(523\) 276.874 128.095i 0.529395 0.244924i −0.136936 0.990580i \(-0.543726\pi\)
0.666332 + 0.745656i \(0.267864\pi\)
\(524\) 172.264 286.305i 0.328749 0.546385i
\(525\) −97.7699 + 184.414i −0.186228 + 0.351264i
\(526\) −164.952 140.111i −0.313596 0.266371i
\(527\) −39.2676 + 41.4543i −0.0745116 + 0.0786609i
\(528\) −5.06302 + 46.5537i −0.00958905 + 0.0881699i
\(529\) −93.0626 + 233.569i −0.175922 + 0.441530i
\(530\) 6.47071i 0.0122089i
\(531\) −174.725 + 28.2854i −0.329050 + 0.0532681i
\(532\) −471.888 −0.887007
\(533\) 395.983 + 157.774i 0.742932 + 0.296011i
\(534\) −160.902 17.4992i −0.301315 0.0327700i
\(535\) 140.156 + 132.763i 0.261974 + 0.248155i
\(536\) −64.0205 + 75.3708i −0.119441 + 0.140617i
\(537\) 185.876 + 98.5453i 0.346138 + 0.183511i
\(538\) 64.7208 + 38.9412i 0.120299 + 0.0723815i
\(539\) 44.2549 + 95.6553i 0.0821055 + 0.177468i
\(540\) 23.0944 + 5.08346i 0.0427674 + 0.00941382i
\(541\) −443.242 + 234.992i −0.819301 + 0.434366i −0.824666 0.565619i \(-0.808637\pi\)
0.00536495 + 0.999986i \(0.498292\pi\)
\(542\) 381.041 + 20.6594i 0.703028 + 0.0381170i
\(543\) −21.4110 25.2070i −0.0394310 0.0464218i
\(544\) −27.7559 126.097i −0.0510220 0.231795i
\(545\) 113.972 + 149.928i 0.209123 + 0.275096i
\(546\) 75.3761 71.4001i 0.138052 0.130769i
\(547\) 14.3666 + 264.976i 0.0262643 + 0.484417i 0.981845 + 0.189687i \(0.0607472\pi\)
−0.955580 + 0.294731i \(0.904770\pi\)
\(548\) −562.103 + 338.206i −1.02573 + 0.617164i
\(549\) −117.515 79.6769i −0.214052 0.145131i
\(550\) −30.0441 + 108.209i −0.0546257 + 0.196744i
\(551\) 273.583 29.7539i 0.496521 0.0539999i
\(552\) 158.620 + 120.579i 0.287354 + 0.218441i
\(553\) 490.163 + 226.774i 0.886371 + 0.410079i
\(554\) 58.0544 39.3618i 0.104791 0.0710503i
\(555\) −25.3168 75.1375i −0.0456158 0.135383i
\(556\) 39.1473 + 238.788i 0.0704087 + 0.429474i
\(557\) −158.357 + 965.936i −0.284304 + 1.73418i 0.329001 + 0.944330i \(0.393288\pi\)
−0.613304 + 0.789847i \(0.710160\pi\)
\(558\) 40.5749 + 13.6713i 0.0727149 + 0.0245005i
\(559\) −22.9716 82.7363i −0.0410941 0.148008i
\(560\) −15.7863 39.6206i −0.0281898 0.0707510i
\(561\) 31.7707 12.6586i 0.0566323 0.0225644i
\(562\) −393.658 + 109.299i −0.700459 + 0.194482i
\(563\) −262.555 + 779.234i −0.466349 + 1.38407i 0.414229 + 0.910173i \(0.364051\pi\)
−0.880578 + 0.473902i \(0.842845\pi\)
\(564\) 60.5703 + 9.93000i 0.107394 + 0.0176064i
\(565\) 274.160 44.9462i 0.485238 0.0795508i
\(566\) 201.326 67.8347i 0.355700 0.119849i
\(567\) −26.7481 39.4505i −0.0471747 0.0695775i
\(568\) 55.2616 119.446i 0.0972916 0.210292i
\(569\) 229.241 301.562i 0.402885 0.529986i −0.549253 0.835656i \(-0.685088\pi\)
0.952137 + 0.305671i \(0.0988806\pi\)
\(570\) 8.07613 + 74.2588i 0.0141686 + 0.130279i
\(571\) 797.749 + 221.494i 1.39711 + 0.387905i 0.882820 0.469711i \(-0.155642\pi\)
0.514289 + 0.857617i \(0.328056\pi\)
\(572\) −98.9106 + 145.882i −0.172921 + 0.255039i
\(573\) 65.3459 + 108.606i 0.114042 + 0.189539i
\(574\) 191.712 10.3943i 0.333992 0.0181085i
\(575\) −260.714 275.233i −0.453417 0.478666i
\(576\) −25.7281 + 19.5580i −0.0446668 + 0.0339548i
\(577\) −563.197 + 123.969i −0.976078 + 0.214851i −0.674243 0.738509i \(-0.735530\pi\)
−0.301835 + 0.953360i \(0.597599\pi\)
\(578\) 204.590 173.780i 0.353962 0.300658i
\(579\) −31.1010 + 573.624i −0.0537150 + 0.990715i
\(580\) 19.9970 + 37.7183i 0.0344775 + 0.0650315i
\(581\) −125.953 + 572.208i −0.216786 + 0.984868i
\(582\) −77.7730 + 35.9816i −0.133631 + 0.0618241i
\(583\) 11.4147 18.9714i 0.0195793 0.0325410i
\(584\) −208.960 + 394.140i −0.357807 + 0.674896i
\(585\) 39.5217 + 33.5700i 0.0675584 + 0.0573846i
\(586\) 297.097 313.641i 0.506991 0.535224i
\(587\) −117.906 + 1084.12i −0.200861 + 1.84689i 0.267756 + 0.963487i \(0.413718\pi\)
−0.468617 + 0.883402i \(0.655248\pi\)
\(588\) 40.8007 102.402i 0.0693890 0.174153i
\(589\) 426.731i 0.724501i
\(590\) 56.2829 65.9929i 0.0953948 0.111852i
\(591\) −376.245 −0.636625
\(592\) −152.551 60.7820i −0.257688 0.102672i
\(593\) −1176.14 127.912i −1.98336 0.215704i −0.999277 0.0380228i \(-0.987894\pi\)
−0.984088 0.177681i \(-0.943140\pi\)
\(594\) −18.6178 17.6357i −0.0313431 0.0296897i
\(595\) −20.1648 + 23.7398i −0.0338904 + 0.0398989i
\(596\) 589.791 + 312.687i 0.989582 + 0.524643i
\(597\) 72.0034 + 43.3230i 0.120609 + 0.0725678i
\(598\) 79.1809 + 171.147i 0.132410 + 0.286199i
\(599\) −900.699 198.259i −1.50367 0.330983i −0.614632 0.788814i \(-0.710696\pi\)
−0.889039 + 0.457831i \(0.848627\pi\)
\(600\) 240.433 127.470i 0.400722 0.212449i
\(601\) −298.907 16.2063i −0.497350 0.0269655i −0.196242 0.980556i \(-0.562874\pi\)
−0.301108 + 0.953590i \(0.597357\pi\)
\(602\) −25.0380 29.4770i −0.0415913 0.0489651i
\(603\) 9.23660 + 41.9623i 0.0153177 + 0.0695892i
\(604\) −199.654 262.641i −0.330554 0.434836i
\(605\) −104.098 + 98.6065i −0.172062 + 0.162986i
\(606\) 3.03630 + 56.0012i 0.00501039 + 0.0924112i
\(607\) 182.361 109.723i 0.300430 0.180763i −0.357355 0.933969i \(-0.616321\pi\)
0.657785 + 0.753206i \(0.271494\pi\)
\(608\) 798.662 + 541.506i 1.31359 + 0.890635i
\(609\) 23.0204 82.9121i 0.0378004 0.136145i
\(610\) 69.1654 7.52219i 0.113386 0.0123315i
\(611\) 107.150 + 81.4529i 0.175367 + 0.133311i
\(612\) −32.4625 15.0188i −0.0530433 0.0245405i
\(613\) 619.825 420.252i 1.01113 0.685565i 0.0612346 0.998123i \(-0.480496\pi\)
0.949899 + 0.312558i \(0.101186\pi\)
\(614\) −116.410 345.493i −0.189593 0.562692i
\(615\) 15.5133 + 94.6269i 0.0252249 + 0.153865i
\(616\) −29.7573 + 181.512i −0.0483074 + 0.294662i
\(617\) 287.352 + 96.8200i 0.465724 + 0.156921i 0.542374 0.840137i \(-0.317526\pi\)
−0.0766497 + 0.997058i \(0.524422\pi\)
\(618\) 30.5526 + 110.040i 0.0494378 + 0.178059i
\(619\) 451.301 + 1132.68i 0.729080 + 1.82985i 0.525496 + 0.850796i \(0.323880\pi\)
0.203585 + 0.979057i \(0.434741\pi\)
\(620\) 61.4973 24.5028i 0.0991892 0.0395206i
\(621\) 83.4152 23.1601i 0.134324 0.0372949i
\(622\) −73.6100 + 218.467i −0.118344 + 0.351232i
\(623\) 497.742 + 81.6006i 0.798943 + 0.130980i
\(624\) 105.982 17.3749i 0.169843 0.0278444i
\(625\) −437.501 + 147.411i −0.700002 + 0.235858i
\(626\) −192.528 283.958i −0.307553 0.453606i
\(627\) −107.319 + 231.965i −0.171162 + 0.369961i
\(628\) 110.615 145.512i 0.176138 0.231706i
\(629\) 12.9667 + 119.226i 0.0206147 + 0.189549i
\(630\) 22.5049 + 6.24845i 0.0357220 + 0.00991817i
\(631\) 516.539 761.838i 0.818604 1.20735i −0.156953 0.987606i \(-0.550167\pi\)
0.975557 0.219745i \(-0.0705225\pi\)
\(632\) −363.022 603.347i −0.574402 0.954664i
\(633\) −324.420 + 17.5896i −0.512512 + 0.0277876i
\(634\) −366.840 387.268i −0.578611 0.610833i
\(635\) −219.862 + 167.134i −0.346239 + 0.263204i
\(636\) −22.6149 + 4.97791i −0.0355580 + 0.00782690i
\(637\) 184.229 156.486i 0.289214 0.245660i
\(638\) 2.50647 46.2291i 0.00392864 0.0724594i
\(639\) −26.7850 50.5219i −0.0419170 0.0790639i
\(640\) −38.9733 + 177.057i −0.0608957 + 0.276652i
\(641\) −172.109 + 79.6261i −0.268501 + 0.124222i −0.549520 0.835480i \(-0.685190\pi\)
0.281019 + 0.959702i \(0.409327\pi\)
\(642\) −112.887 + 187.619i −0.175836 + 0.292242i
\(643\) 41.7958 78.8353i 0.0650013 0.122605i −0.848882 0.528582i \(-0.822724\pi\)
0.913883 + 0.405977i \(0.133069\pi\)
\(644\) −204.255 173.496i −0.317167 0.269404i
\(645\) 13.2838 14.0236i 0.0205951 0.0217419i
\(646\) 12.2158 112.322i 0.0189099 0.173874i
\(647\) −434.060 + 1089.41i −0.670881 + 1.68379i 0.0572608 + 0.998359i \(0.481763\pi\)
−0.728142 + 0.685426i \(0.759616\pi\)
\(648\) 62.1421i 0.0958983i
\(649\) 281.431 94.1976i 0.433638 0.145143i
\(650\) 257.558 0.396243
\(651\) −123.954 49.3877i −0.190405 0.0758644i
\(652\) −426.760 46.4130i −0.654540 0.0711855i
\(653\) −21.9888 20.8289i −0.0336734 0.0318972i 0.670678 0.741749i \(-0.266003\pi\)
−0.704351 + 0.709852i \(0.748762\pi\)
\(654\) −138.284 + 162.800i −0.211443 + 0.248930i
\(655\) 145.627 + 77.2068i 0.222332 + 0.117873i
\(656\) 170.171 + 102.389i 0.259408 + 0.156080i
\(657\) 81.3860 + 175.913i 0.123875 + 0.267752i
\(658\) 59.2061 + 13.0323i 0.0899789 + 0.0198059i
\(659\) −183.637 + 97.3583i −0.278661 + 0.147736i −0.601877 0.798588i \(-0.705580\pi\)
0.323217 + 0.946325i \(0.395236\pi\)
\(660\) −39.5913 2.14658i −0.0599869 0.00325239i
\(661\) −414.629 488.139i −0.627275 0.738485i 0.353109 0.935582i \(-0.385125\pi\)
−0.980384 + 0.197097i \(0.936849\pi\)
\(662\) −82.4424 374.540i −0.124535 0.565770i
\(663\) −47.4665 62.4411i −0.0715935 0.0941796i
\(664\) 554.579 525.325i 0.835209 0.791152i
\(665\) −12.6025 232.440i −0.0189512 0.349534i
\(666\) 77.0560 46.3631i 0.115700 0.0696142i
\(667\) 129.359 + 87.7076i 0.193942 + 0.131496i
\(668\) −71.5305 + 257.629i −0.107082 + 0.385673i
\(669\) 42.9662 4.67285i 0.0642245 0.00698483i
\(670\) −16.7616 12.7418i −0.0250173 0.0190176i
\(671\) 216.055 + 99.9576i 0.321989 + 0.148968i
\(672\) 249.726 169.319i 0.371616 0.251962i
\(673\) −212.783 631.516i −0.316170 0.938360i −0.981442 0.191759i \(-0.938581\pi\)
0.665272 0.746601i \(-0.268316\pi\)
\(674\) −20.3260 123.983i −0.0301573 0.183952i
\(675\) 19.1289 116.681i 0.0283391 0.172861i
\(676\) −103.380 34.8327i −0.152929 0.0515276i
\(677\) 180.742 + 650.972i 0.266974 + 0.961554i 0.968521 + 0.248931i \(0.0800793\pi\)
−0.701547 + 0.712623i \(0.747507\pi\)
\(678\) 116.632 + 292.724i 0.172023 + 0.431746i
\(679\) 248.084 98.8455i 0.365366 0.145575i
\(680\) 39.1296 10.8643i 0.0575435 0.0159769i
\(681\) −24.4145 + 72.4596i −0.0358509 + 0.106402i
\(682\) −70.8444 11.6143i −0.103877 0.0170298i
\(683\) 145.550 23.8617i 0.213103 0.0349365i −0.0542845 0.998526i \(-0.517288\pi\)
0.267388 + 0.963589i \(0.413840\pi\)
\(684\) 253.319 85.3530i 0.370349 0.124785i
\(685\) −181.604 267.845i −0.265115 0.391015i
\(686\) 152.622 329.888i 0.222482 0.480886i
\(687\) −259.105 + 340.846i −0.377154 + 0.496137i
\(688\) −4.32544 39.7718i −0.00628698 0.0578078i
\(689\) −48.9271 13.5845i −0.0710118 0.0197163i
\(690\) −23.8065 + 35.1120i −0.0345022 + 0.0508869i
\(691\) −139.682 232.154i −0.202145 0.335968i 0.739157 0.673533i \(-0.235224\pi\)
−0.941302 + 0.337566i \(0.890397\pi\)
\(692\) −989.385 + 53.6429i −1.42975 + 0.0775186i
\(693\) 54.9592 + 58.0197i 0.0793062 + 0.0837225i
\(694\) −276.151 + 209.925i −0.397912 + 0.302485i
\(695\) −116.575 + 25.6602i −0.167734 + 0.0369211i
\(696\) −85.5051 + 72.6287i −0.122852 + 0.104352i
\(697\) 7.85239 144.829i 0.0112660 0.207789i
\(698\) 190.425 + 359.180i 0.272816 + 0.514585i
\(699\) 98.6844 448.328i 0.141179 0.641384i
\(700\) −332.198 + 153.691i −0.474569 + 0.219559i
\(701\) 578.118 960.840i 0.824705 1.37067i −0.101963 0.994788i \(-0.532512\pi\)
0.926668 0.375882i \(-0.122660\pi\)
\(702\) −27.5489 + 51.9626i −0.0392434 + 0.0740209i
\(703\) −683.111 580.240i −0.971709 0.825377i
\(704\) 37.2648 39.3400i 0.0529330 0.0558807i
\(705\) −3.27364 + 30.1006i −0.00464346 + 0.0426959i
\(706\) −185.977 + 466.768i −0.263424 + 0.661144i
\(707\) 174.776i 0.247208i
\(708\) −273.941 145.938i −0.386923 0.206128i
\(709\) 90.8312 0.128112 0.0640559 0.997946i \(-0.479596\pi\)
0.0640559 + 0.997946i \(0.479596\pi\)
\(710\) 26.0309 + 10.3717i 0.0366632 + 0.0146080i
\(711\) −304.147 33.0780i −0.427773 0.0465232i
\(712\) −477.417 452.234i −0.670530 0.635160i
\(713\) 156.893 184.709i 0.220047 0.259059i
\(714\) −31.2128 16.5480i −0.0437155 0.0231765i
\(715\) −74.4995 44.8248i −0.104195 0.0626921i
\(716\) 154.910 + 334.833i 0.216355 + 0.467644i
\(717\) 185.703 + 40.8763i 0.259000 + 0.0570102i
\(718\) 266.560 141.321i 0.371254 0.196826i
\(719\) 261.342 + 14.1695i 0.363479 + 0.0197073i 0.234974 0.972002i \(-0.424499\pi\)
0.128505 + 0.991709i \(0.458982\pi\)
\(720\) 15.6408 + 18.4137i 0.0217233 + 0.0255746i
\(721\) −76.5075 347.577i −0.106113 0.482077i
\(722\) 296.648 + 390.233i 0.410869 + 0.540490i
\(723\) 310.390 294.017i 0.429308 0.406662i
\(724\) −3.13991 57.9123i −0.00433690 0.0799894i
\(725\) 182.905 110.051i 0.252283 0.151794i
\(726\) −134.606 91.2652i −0.185408 0.125710i
\(727\) 2.95416 10.6399i 0.00406349 0.0146354i −0.961490 0.274838i \(-0.911376\pi\)
0.965554 + 0.260203i \(0.0837895\pi\)
\(728\) 419.368 45.6090i 0.576055 0.0626497i
\(729\) 21.4945 + 16.3397i 0.0294849 + 0.0224139i
\(730\) −86.2016 39.8811i −0.118084 0.0546317i
\(731\) −24.1830 + 16.3965i −0.0330820 + 0.0224302i
\(732\) −79.4986 235.944i −0.108605 0.322327i
\(733\) −116.252 709.108i −0.158598 0.967405i −0.939449 0.342688i \(-0.888663\pi\)
0.780851 0.624717i \(-0.214786\pi\)
\(734\) −5.63020 + 34.3427i −0.00767057 + 0.0467884i
\(735\) 51.5303 + 17.3626i 0.0701093 + 0.0236226i
\(736\) 146.606 + 528.028i 0.199193 + 0.717430i
\(737\) −26.6658 66.9260i −0.0361815 0.0908087i
\(738\) −101.034 + 40.2558i −0.136903 + 0.0545472i
\(739\) 1135.34 315.225i 1.53632 0.426557i 0.606655 0.794965i \(-0.292511\pi\)
0.929664 + 0.368409i \(0.120097\pi\)
\(740\) 44.3959 131.762i 0.0599944 0.178057i
\(741\) 578.450 + 94.8320i 0.780634 + 0.127978i
\(742\) −22.5699 + 3.70015i −0.0304177 + 0.00498673i
\(743\) 194.669 65.5916i 0.262004 0.0882794i −0.185234 0.982694i \(-0.559304\pi\)
0.447238 + 0.894415i \(0.352408\pi\)
\(744\) 97.6257 + 143.987i 0.131217 + 0.193531i
\(745\) −138.271 + 298.867i −0.185598 + 0.401164i
\(746\) 140.402 184.695i 0.188206 0.247581i
\(747\) −35.8847 329.954i −0.0480384 0.441706i
\(748\) 57.7870 + 16.0445i 0.0772554 + 0.0214498i
\(749\) 382.934 564.785i 0.511260 0.754053i
\(750\) 62.6892 + 104.190i 0.0835856 + 0.138920i
\(751\) 635.613 34.4619i 0.846355 0.0458880i 0.374141 0.927372i \(-0.377938\pi\)
0.472214 + 0.881484i \(0.343455\pi\)
\(752\) 43.1253 + 45.5268i 0.0573474 + 0.0605409i
\(753\) −65.3370 + 49.6679i −0.0867689 + 0.0659600i
\(754\) −103.696 + 22.8253i −0.137528 + 0.0302723i
\(755\) 124.038 105.359i 0.164289 0.139548i
\(756\) 4.52510 83.4606i 0.00598558 0.110398i
\(757\) −411.578 776.319i −0.543696 1.02552i −0.991342 0.131309i \(-0.958082\pi\)
0.447645 0.894211i \(-0.352263\pi\)
\(758\) 44.8475 203.744i 0.0591655 0.268792i
\(759\) −131.738 + 60.9484i −0.173567 + 0.0803009i
\(760\) −156.467 + 260.051i −0.205878 + 0.342172i
\(761\) −488.824 + 922.020i −0.642345 + 1.21159i 0.321950 + 0.946757i \(0.395662\pi\)
−0.964294 + 0.264834i \(0.914683\pi\)
\(762\) −238.739 202.787i −0.313306 0.266124i
\(763\) 457.777 483.270i 0.599970 0.633381i
\(764\) −24.0315 + 220.966i −0.0314548 + 0.289222i
\(765\) 6.53090 16.3913i 0.00853712 0.0214266i
\(766\) 226.905i 0.296220i
\(767\) −380.834 564.119i −0.496524 0.735487i
\(768\) −280.261 −0.364924
\(769\) 936.533 + 373.149i 1.21786 + 0.485239i 0.888461 0.458952i \(-0.151775\pi\)
0.329397 + 0.944191i \(0.393154\pi\)
\(770\) −38.9319 4.23410i −0.0505609 0.00549883i
\(771\) 4.03977 + 3.82667i 0.00523965 + 0.00496326i
\(772\) −652.172 + 767.797i −0.844783 + 0.994555i
\(773\) 166.583 + 88.3165i 0.215501 + 0.114252i 0.572663 0.819791i \(-0.305911\p