Properties

Label 384.2.v.a.229.1
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.1
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40608 + 0.151468i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(1.95411 - 0.425952i) q^{4} +(0.410605 + 0.500324i) q^{5} +(1.16865 - 0.796404i) q^{6} +(3.77588 - 2.52296i) q^{7} +(-2.68312 + 0.894907i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(-1.40608 + 0.151468i) q^{2} +(-0.881921 + 0.471397i) q^{3} +(1.95411 - 0.425952i) q^{4} +(0.410605 + 0.500324i) q^{5} +(1.16865 - 0.796404i) q^{6} +(3.77588 - 2.52296i) q^{7} +(-2.68312 + 0.894907i) q^{8} +(0.555570 - 0.831470i) q^{9} +(-0.653126 - 0.641301i) q^{10} +(-0.820483 + 0.248891i) q^{11} +(-1.52258 + 1.29682i) q^{12} +(-4.17659 - 3.42764i) q^{13} +(-4.92703 + 4.11940i) q^{14} +(-0.597972 - 0.247688i) q^{15} +(3.63713 - 1.66472i) q^{16} +(1.11235 - 0.460750i) q^{17} +(-0.655235 + 1.25326i) q^{18} +(0.204056 + 2.07182i) q^{19} +(1.01548 + 0.802792i) q^{20} +(-2.14071 + 4.00499i) q^{21} +(1.11596 - 0.474237i) q^{22} +(5.13036 - 1.02049i) q^{23} +(1.94445 - 2.05405i) q^{24} +(0.893724 - 4.49306i) q^{25} +(6.39179 + 4.18691i) q^{26} +(-0.0980171 + 0.995185i) q^{27} +(6.30384 - 6.53849i) q^{28} +(2.48204 - 8.18218i) q^{29} +(0.878313 + 0.257696i) q^{30} +(2.53778 + 2.53778i) q^{31} +(-4.86194 + 2.89163i) q^{32} +(0.606275 - 0.606275i) q^{33} +(-1.49426 + 0.816335i) q^{34} +(2.81269 + 0.853220i) q^{35} +(0.731482 - 1.86143i) q^{36} +(1.74480 + 0.171848i) q^{37} +(-0.600734 - 2.88223i) q^{38} +(5.29920 + 1.05408i) q^{39} +(-1.54945 - 0.974976i) q^{40} +(1.07035 + 5.38099i) q^{41} +(2.40338 - 5.95558i) q^{42} +(7.39874 + 3.95471i) q^{43} +(-1.49730 + 0.835847i) q^{44} +(0.644124 - 0.0634407i) q^{45} +(-7.05911 + 2.21198i) q^{46} +(-0.0457850 - 0.110535i) q^{47} +(-2.42292 + 3.18268i) q^{48} +(5.21313 - 12.5856i) q^{49} +(-0.576093 + 6.45296i) q^{50} +(-0.763807 + 0.930702i) q^{51} +(-9.62154 - 4.91897i) q^{52} +(-3.07185 - 10.1265i) q^{53} +(-0.0129187 - 1.41415i) q^{54} +(-0.461420 - 0.308311i) q^{55} +(-7.87332 + 10.1485i) q^{56} +(-1.15661 - 1.73099i) q^{57} +(-2.25060 + 11.8807i) q^{58} +(-0.373783 + 0.306755i) q^{59} +(-1.27401 - 0.229304i) q^{60} +(3.11144 + 5.82110i) q^{61} +(-3.95271 - 3.18392i) q^{62} -4.54121i q^{63} +(6.39828 - 4.80229i) q^{64} -3.49705i q^{65} +(-0.760639 + 0.944301i) q^{66} +(-1.96716 - 3.68030i) q^{67} +(1.97740 - 1.37416i) q^{68} +(-4.04351 + 3.31843i) q^{69} +(-4.08410 - 0.773663i) q^{70} +(5.37870 + 8.04979i) q^{71} +(-0.746574 + 2.72812i) q^{72} +(0.580721 + 0.388026i) q^{73} +(-2.47936 + 0.0226497i) q^{74} +(1.32982 + 4.38382i) q^{75} +(1.28124 + 3.96166i) q^{76} +(-2.47010 + 3.00983i) q^{77} +(-7.61075 - 0.679456i) q^{78} +(-4.16297 + 10.0503i) q^{79} +(2.32632 + 1.13620i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(-2.32004 - 7.40397i) q^{82} +(-4.25592 + 0.419172i) q^{83} +(-2.47726 + 8.73805i) q^{84} +(0.687260 + 0.367348i) q^{85} +(-11.0022 - 4.43996i) q^{86} +(1.66809 + 8.38606i) q^{87} +(1.97872 - 1.40206i) q^{88} +(-13.0939 - 2.60454i) q^{89} +(-0.896080 + 0.186767i) q^{90} +(-24.4181 - 2.40497i) q^{91} +(9.59063 - 4.17944i) q^{92} +(-3.43442 - 1.04182i) q^{93} +(0.0811198 + 0.148486i) q^{94} +(-0.952794 + 0.952794i) q^{95} +(2.92474 - 4.84209i) q^{96} +(-0.365433 - 0.365433i) q^{97} +(-5.42376 + 18.4860i) q^{98} +(-0.248891 + 0.820483i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40608 + 0.151468i −0.994248 + 0.107104i
\(3\) −0.881921 + 0.471397i −0.509177 + 0.272161i
\(4\) 1.95411 0.425952i 0.977057 0.212976i
\(5\) 0.410605 + 0.500324i 0.183628 + 0.223752i 0.856686 0.515838i \(-0.172519\pi\)
−0.673058 + 0.739590i \(0.735019\pi\)
\(6\) 1.16865 0.796404i 0.477099 0.325130i
\(7\) 3.77588 2.52296i 1.42715 0.953589i 0.428398 0.903590i \(-0.359078\pi\)
0.998749 0.0499992i \(-0.0159219\pi\)
\(8\) −2.68312 + 0.894907i −0.948627 + 0.316397i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) −0.653126 0.641301i −0.206537 0.202797i
\(11\) −0.820483 + 0.248891i −0.247385 + 0.0750434i −0.411542 0.911391i \(-0.635010\pi\)
0.164157 + 0.986434i \(0.447510\pi\)
\(12\) −1.52258 + 1.29682i −0.439532 + 0.374359i
\(13\) −4.17659 3.42764i −1.15838 0.950655i −0.159048 0.987271i \(-0.550842\pi\)
−0.999329 + 0.0366154i \(0.988342\pi\)
\(14\) −4.92703 + 4.11940i −1.31680 + 1.10096i
\(15\) −0.597972 0.247688i −0.154396 0.0639528i
\(16\) 3.63713 1.66472i 0.909283 0.416179i
\(17\) 1.11235 0.460750i 0.269784 0.111748i −0.243690 0.969853i \(-0.578358\pi\)
0.513474 + 0.858105i \(0.328358\pi\)
\(18\) −0.655235 + 1.25326i −0.154440 + 0.295397i
\(19\) 0.204056 + 2.07182i 0.0468138 + 0.475308i 0.989799 + 0.142473i \(0.0455053\pi\)
−0.942985 + 0.332835i \(0.891995\pi\)
\(20\) 1.01548 + 0.802792i 0.227069 + 0.179510i
\(21\) −2.14071 + 4.00499i −0.467141 + 0.873960i
\(22\) 1.11596 0.474237i 0.237924 0.101108i
\(23\) 5.13036 1.02049i 1.06975 0.212787i 0.371351 0.928493i \(-0.378895\pi\)
0.698402 + 0.715705i \(0.253895\pi\)
\(24\) 1.94445 2.05405i 0.396908 0.419282i
\(25\) 0.893724 4.49306i 0.178745 0.898611i
\(26\) 6.39179 + 4.18691i 1.25353 + 0.821120i
\(27\) −0.0980171 + 0.995185i −0.0188634 + 0.191523i
\(28\) 6.30384 6.53849i 1.19131 1.23566i
\(29\) 2.48204 8.18218i 0.460903 1.51939i −0.351439 0.936211i \(-0.614308\pi\)
0.812342 0.583182i \(-0.198192\pi\)
\(30\) 0.878313 + 0.257696i 0.160357 + 0.0470486i
\(31\) 2.53778 + 2.53778i 0.455798 + 0.455798i 0.897274 0.441475i \(-0.145545\pi\)
−0.441475 + 0.897274i \(0.645545\pi\)
\(32\) −4.86194 + 2.89163i −0.859478 + 0.511173i
\(33\) 0.606275 0.606275i 0.105539 0.105539i
\(34\) −1.49426 + 0.816335i −0.256263 + 0.140000i
\(35\) 2.81269 + 0.853220i 0.475432 + 0.144221i
\(36\) 0.731482 1.86143i 0.121914 0.310239i
\(37\) 1.74480 + 0.171848i 0.286844 + 0.0282516i 0.240416 0.970670i \(-0.422716\pi\)
0.0464279 + 0.998922i \(0.485216\pi\)
\(38\) −0.600734 2.88223i −0.0974519 0.467560i
\(39\) 5.29920 + 1.05408i 0.848551 + 0.168787i
\(40\) −1.54945 0.974976i −0.244989 0.154157i
\(41\) 1.07035 + 5.38099i 0.167160 + 0.840369i 0.969799 + 0.243905i \(0.0784284\pi\)
−0.802639 + 0.596465i \(0.796572\pi\)
\(42\) 2.40338 5.95558i 0.370850 0.918966i
\(43\) 7.39874 + 3.95471i 1.12830 + 0.603087i 0.926483 0.376337i \(-0.122816\pi\)
0.201814 + 0.979424i \(0.435316\pi\)
\(44\) −1.49730 + 0.835847i −0.225727 + 0.126009i
\(45\) 0.644124 0.0634407i 0.0960203 0.00945718i
\(46\) −7.05911 + 2.21198i −1.04081 + 0.326138i
\(47\) −0.0457850 0.110535i −0.00667843 0.0161231i 0.920505 0.390730i \(-0.127778\pi\)
−0.927184 + 0.374607i \(0.877778\pi\)
\(48\) −2.42292 + 3.18268i −0.349718 + 0.459380i
\(49\) 5.21313 12.5856i 0.744733 1.79795i
\(50\) −0.576093 + 6.45296i −0.0814719 + 0.912586i
\(51\) −0.763807 + 0.930702i −0.106954 + 0.130324i
\(52\) −9.62154 4.91897i −1.33427 0.682139i
\(53\) −3.07185 10.1265i −0.421951 1.39099i −0.868261 0.496108i \(-0.834762\pi\)
0.446309 0.894879i \(-0.352738\pi\)
\(54\) −0.0129187 1.41415i −0.00175802 0.192442i
\(55\) −0.461420 0.308311i −0.0622179 0.0415727i
\(56\) −7.87332 + 10.1485i −1.05212 + 1.35615i
\(57\) −1.15661 1.73099i −0.153197 0.229275i
\(58\) −2.25060 + 11.8807i −0.295518 + 1.56002i
\(59\) −0.373783 + 0.306755i −0.0486623 + 0.0399361i −0.658410 0.752659i \(-0.728771\pi\)
0.609748 + 0.792596i \(0.291271\pi\)
\(60\) −1.27401 0.229304i −0.164474 0.0296030i
\(61\) 3.11144 + 5.82110i 0.398379 + 0.745315i 0.998509 0.0545877i \(-0.0173844\pi\)
−0.600130 + 0.799903i \(0.704884\pi\)
\(62\) −3.95271 3.18392i −0.501994 0.404359i
\(63\) 4.54121i 0.572138i
\(64\) 6.39828 4.80229i 0.799785 0.600286i
\(65\) 3.49705i 0.433756i
\(66\) −0.760639 + 0.944301i −0.0936282 + 0.116235i
\(67\) −1.96716 3.68030i −0.240327 0.449620i 0.732624 0.680634i \(-0.238296\pi\)
−0.972950 + 0.231014i \(0.925796\pi\)
\(68\) 1.97740 1.37416i 0.239795 0.166642i
\(69\) −4.04351 + 3.31843i −0.486782 + 0.399492i
\(70\) −4.08410 0.773663i −0.488143 0.0924704i
\(71\) 5.37870 + 8.04979i 0.638334 + 0.955335i 0.999737 + 0.0229250i \(0.00729789\pi\)
−0.361403 + 0.932410i \(0.617702\pi\)
\(72\) −0.746574 + 2.72812i −0.0879846 + 0.321512i
\(73\) 0.580721 + 0.388026i 0.0679683 + 0.0454150i 0.589090 0.808067i \(-0.299486\pi\)
−0.521122 + 0.853482i \(0.674486\pi\)
\(74\) −2.47936 + 0.0226497i −0.288220 + 0.00263297i
\(75\) 1.32982 + 4.38382i 0.153554 + 0.506200i
\(76\) 1.28124 + 3.96166i 0.146969 + 0.454433i
\(77\) −2.47010 + 3.00983i −0.281494 + 0.343002i
\(78\) −7.61075 0.679456i −0.861748 0.0769332i
\(79\) −4.16297 + 10.0503i −0.468370 + 1.13075i 0.496504 + 0.868035i \(0.334617\pi\)
−0.964874 + 0.262712i \(0.915383\pi\)
\(80\) 2.32632 + 1.13620i 0.260091 + 0.127031i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) −2.32004 7.40397i −0.256205 0.817632i
\(83\) −4.25592 + 0.419172i −0.467148 + 0.0460101i −0.328853 0.944381i \(-0.606662\pi\)
−0.138295 + 0.990391i \(0.544162\pi\)
\(84\) −2.47726 + 8.73805i −0.270292 + 0.953399i
\(85\) 0.687260 + 0.367348i 0.0745438 + 0.0398445i
\(86\) −11.0022 4.43996i −1.18640 0.478773i
\(87\) 1.66809 + 8.38606i 0.178838 + 0.899080i
\(88\) 1.97872 1.40206i 0.210932 0.149460i
\(89\) −13.0939 2.60454i −1.38795 0.276081i −0.556117 0.831104i \(-0.687710\pi\)
−0.831835 + 0.555023i \(0.812710\pi\)
\(90\) −0.896080 + 0.186767i −0.0944551 + 0.0196869i
\(91\) −24.4181 2.40497i −2.55971 0.252109i
\(92\) 9.59063 4.17944i 0.999892 0.435737i
\(93\) −3.43442 1.04182i −0.356133 0.108032i
\(94\) 0.0811198 + 0.148486i 0.00836687 + 0.0153151i
\(95\) −0.952794 + 0.952794i −0.0977546 + 0.0977546i
\(96\) 2.92474 4.84209i 0.298505 0.494194i
\(97\) −0.365433 0.365433i −0.0371041 0.0371041i 0.688311 0.725415i \(-0.258352\pi\)
−0.725415 + 0.688311i \(0.758352\pi\)
\(98\) −5.42376 + 18.4860i −0.547882 + 1.86737i
\(99\) −0.248891 + 0.820483i −0.0250145 + 0.0824616i
\(100\) −0.167384 9.16063i −0.0167384 0.916063i
\(101\) −1.26127 + 12.8059i −0.125501 + 1.27423i 0.701761 + 0.712413i \(0.252398\pi\)
−0.827261 + 0.561817i \(0.810102\pi\)
\(102\) 0.933002 1.42433i 0.0923809 0.141030i
\(103\) 3.19636 16.0692i 0.314947 1.58334i −0.421487 0.906834i \(-0.638492\pi\)
0.736434 0.676510i \(-0.236508\pi\)
\(104\) 14.2737 + 5.45911i 1.39965 + 0.535310i
\(105\) −2.88278 + 0.573420i −0.281330 + 0.0559601i
\(106\) 5.85311 + 13.7734i 0.568504 + 1.33779i
\(107\) 4.61675 8.63732i 0.446318 0.835002i −0.553680 0.832730i \(-0.686777\pi\)
0.999997 0.00227193i \(-0.000723180\pi\)
\(108\) 0.232364 + 1.98646i 0.0223592 + 0.191147i
\(109\) 2.00704 + 20.3779i 0.192240 + 1.95184i 0.290974 + 0.956731i \(0.406021\pi\)
−0.0987341 + 0.995114i \(0.531479\pi\)
\(110\) 0.695493 + 0.363619i 0.0663126 + 0.0346698i
\(111\) −1.61979 + 0.670937i −0.153743 + 0.0636826i
\(112\) 9.53334 15.4621i 0.900816 1.46103i
\(113\) −18.9748 7.85960i −1.78499 0.739369i −0.991391 0.130934i \(-0.958202\pi\)
−0.793604 0.608435i \(-0.791798\pi\)
\(114\) 1.88848 + 2.25872i 0.176872 + 0.211548i
\(115\) 2.61713 + 2.14782i 0.244048 + 0.200285i
\(116\) 1.36497 17.0461i 0.126735 1.58269i
\(117\) −5.17036 + 1.56841i −0.478000 + 0.145000i
\(118\) 0.479104 0.487938i 0.0441051 0.0449184i
\(119\) 3.03764 4.54614i 0.278460 0.416744i
\(120\) 1.82609 + 0.129448i 0.166698 + 0.0118169i
\(121\) −8.53492 + 5.70285i −0.775902 + 0.518441i
\(122\) −5.25664 7.71364i −0.475914 0.698360i
\(123\) −3.48054 4.24105i −0.313830 0.382403i
\(124\) 6.04008 + 3.87814i 0.542415 + 0.348267i
\(125\) 5.46903 2.92326i 0.489165 0.261464i
\(126\) 0.687847 + 6.38530i 0.0612783 + 0.568847i
\(127\) 1.12673 0.0999812 0.0499906 0.998750i \(-0.484081\pi\)
0.0499906 + 0.998750i \(0.484081\pi\)
\(128\) −8.26910 + 7.72153i −0.730892 + 0.682493i
\(129\) −8.38934 −0.738640
\(130\) 0.529691 + 4.91713i 0.0464570 + 0.431261i
\(131\) 7.83452 4.18764i 0.684505 0.365875i −0.0921998 0.995741i \(-0.529390\pi\)
0.776705 + 0.629865i \(0.216890\pi\)
\(132\) 0.926487 1.44297i 0.0806404 0.125595i
\(133\) 5.99761 + 7.30811i 0.520059 + 0.633694i
\(134\) 3.32343 + 4.87682i 0.287100 + 0.421293i
\(135\) −0.538161 + 0.359588i −0.0463175 + 0.0309484i
\(136\) −2.57224 + 2.23170i −0.220567 + 0.191366i
\(137\) 4.00919 6.00018i 0.342528 0.512630i −0.619713 0.784829i \(-0.712751\pi\)
0.962241 + 0.272199i \(0.0877509\pi\)
\(138\) 5.18286 5.27843i 0.441195 0.449330i
\(139\) −16.0914 + 4.88127i −1.36485 + 0.414024i −0.885924 0.463830i \(-0.846475\pi\)
−0.478929 + 0.877854i \(0.658975\pi\)
\(140\) 5.85975 + 0.469221i 0.495239 + 0.0396564i
\(141\) 0.0924845 + 0.0759000i 0.00778860 + 0.00639194i
\(142\) −8.78216 10.5039i −0.736983 0.881471i
\(143\) 4.27993 + 1.77280i 0.357905 + 0.148249i
\(144\) 0.636520 3.94903i 0.0530433 0.329086i
\(145\) 5.11287 2.11782i 0.424601 0.175876i
\(146\) −0.875313 0.457634i −0.0724414 0.0378740i
\(147\) 1.33525 + 13.5570i 0.110129 + 1.11816i
\(148\) 3.48274 0.407390i 0.286280 0.0334873i
\(149\) 5.80646 10.8631i 0.475684 0.889942i −0.523595 0.851967i \(-0.675410\pi\)
0.999279 0.0379743i \(-0.0120905\pi\)
\(150\) −2.53384 5.96257i −0.206887 0.486842i
\(151\) −7.37135 + 1.46625i −0.599872 + 0.119322i −0.485680 0.874137i \(-0.661428\pi\)
−0.114192 + 0.993459i \(0.536428\pi\)
\(152\) −2.40159 5.37633i −0.194795 0.436078i
\(153\) 0.234888 1.18086i 0.0189896 0.0954670i
\(154\) 3.01726 4.60619i 0.243138 0.371178i
\(155\) −0.227686 + 2.31174i −0.0182882 + 0.185683i
\(156\) 10.8042 0.197416i 0.865031 0.0158059i
\(157\) −5.72913 + 18.8864i −0.457234 + 1.50730i 0.361083 + 0.932534i \(0.382407\pi\)
−0.818318 + 0.574766i \(0.805093\pi\)
\(158\) 4.33116 14.7621i 0.344569 1.17441i
\(159\) 7.48275 + 7.48275i 0.593421 + 0.593421i
\(160\) −3.44309 1.24523i −0.272200 0.0984437i
\(161\) 16.7969 16.7969i 1.32378 1.32378i
\(162\) 0.678021 + 1.24108i 0.0532704 + 0.0975087i
\(163\) 5.03712 + 1.52799i 0.394537 + 0.119682i 0.481318 0.876546i \(-0.340158\pi\)
−0.0867811 + 0.996227i \(0.527658\pi\)
\(164\) 4.38362 + 10.0592i 0.342303 + 0.785488i
\(165\) 0.552273 + 0.0543942i 0.0429944 + 0.00423458i
\(166\) 5.92067 1.23402i 0.459533 0.0957789i
\(167\) 17.3677 + 3.45465i 1.34395 + 0.267329i 0.814082 0.580750i \(-0.197241\pi\)
0.529870 + 0.848079i \(0.322241\pi\)
\(168\) 2.15969 12.6616i 0.166624 0.976864i
\(169\) 3.15902 + 15.8814i 0.243001 + 1.22165i
\(170\) −1.02198 0.412422i −0.0783825 0.0316313i
\(171\) 1.83602 + 0.981375i 0.140404 + 0.0750476i
\(172\) 16.1425 + 4.57645i 1.23085 + 0.348951i
\(173\) 14.6622 1.44410i 1.11475 0.109793i 0.476173 0.879352i \(-0.342024\pi\)
0.638576 + 0.769559i \(0.279524\pi\)
\(174\) −3.61569 11.5388i −0.274104 0.874754i
\(175\) −7.96121 19.2201i −0.601811 1.45290i
\(176\) −2.56987 + 2.27112i −0.193711 + 0.171192i
\(177\) 0.185043 0.446734i 0.0139087 0.0335786i
\(178\) 18.8056 + 1.67888i 1.40954 + 0.125838i
\(179\) −4.72194 + 5.75370i −0.352934 + 0.430052i −0.918969 0.394330i \(-0.870977\pi\)
0.566035 + 0.824381i \(0.308477\pi\)
\(180\) 1.23167 0.398336i 0.0918032 0.0296902i
\(181\) −5.02243 16.5567i −0.373314 1.23065i −0.919534 0.393010i \(-0.871434\pi\)
0.546220 0.837642i \(-0.316066\pi\)
\(182\) 34.6980 0.316977i 2.57199 0.0234959i
\(183\) −5.48809 3.66702i −0.405691 0.271074i
\(184\) −12.8521 + 7.32930i −0.947471 + 0.540323i
\(185\) 0.630445 + 0.943527i 0.0463512 + 0.0693695i
\(186\) 4.98687 + 0.944677i 0.365655 + 0.0692671i
\(187\) −0.797986 + 0.654890i −0.0583545 + 0.0478903i
\(188\) −0.136552 0.196495i −0.00995905 0.0143309i
\(189\) 2.14071 + 4.00499i 0.155714 + 0.291320i
\(190\) 1.19539 1.48402i 0.0867224 0.107662i
\(191\) 2.61143i 0.188956i 0.995527 + 0.0944781i \(0.0301182\pi\)
−0.995527 + 0.0944781i \(0.969882\pi\)
\(192\) −3.37900 + 7.25137i −0.243858 + 0.523323i
\(193\) 9.51864i 0.685166i −0.939488 0.342583i \(-0.888698\pi\)
0.939488 0.342583i \(-0.111302\pi\)
\(194\) 0.569179 + 0.458476i 0.0408647 + 0.0329167i
\(195\) 1.64850 + 3.08412i 0.118051 + 0.220859i
\(196\) 4.82620 26.8143i 0.344728 1.91531i
\(197\) −20.5506 + 16.8654i −1.46417 + 1.20161i −0.528402 + 0.848995i \(0.677208\pi\)
−0.935767 + 0.352618i \(0.885292\pi\)
\(198\) 0.225683 1.19136i 0.0160386 0.0846664i
\(199\) 11.2177 + 16.7884i 0.795200 + 1.19010i 0.978338 + 0.207014i \(0.0663745\pi\)
−0.183138 + 0.983087i \(0.558625\pi\)
\(200\) 1.62290 + 12.8552i 0.114756 + 0.909001i
\(201\) 3.46976 + 2.31842i 0.244738 + 0.163529i
\(202\) −0.166236 18.1971i −0.0116963 1.28034i
\(203\) −11.2714 37.1570i −0.791100 2.60791i
\(204\) −1.09613 + 2.14404i −0.0767447 + 0.150113i
\(205\) −2.25275 + 2.74498i −0.157339 + 0.191718i
\(206\) −2.06037 + 23.0787i −0.143553 + 1.60797i
\(207\) 2.00177 4.83269i 0.139132 0.335895i
\(208\) −20.8968 5.51393i −1.44894 0.382322i
\(209\) −0.683082 1.64910i −0.0472497 0.114071i
\(210\) 3.96656 1.24292i 0.273718 0.0857698i
\(211\) −11.5998 + 1.14248i −0.798563 + 0.0786516i −0.489064 0.872248i \(-0.662661\pi\)
−0.309499 + 0.950900i \(0.600161\pi\)
\(212\) −10.3162 18.4800i −0.708517 1.26921i
\(213\) −8.53824 4.56378i −0.585030 0.312705i
\(214\) −5.18323 + 12.8440i −0.354318 + 0.878001i
\(215\) 1.05932 + 5.32559i 0.0722454 + 0.363202i
\(216\) −0.627606 2.75792i −0.0427032 0.187653i
\(217\) 15.9851 + 3.17962i 1.08514 + 0.215847i
\(218\) −5.90865 28.3489i −0.400184 1.92003i
\(219\) −0.695064 0.0684579i −0.0469681 0.00462595i
\(220\) −1.03299 0.405933i −0.0696444 0.0273680i
\(221\) −6.22510 1.88836i −0.418746 0.127025i
\(222\) 2.17592 1.18874i 0.146038 0.0797828i
\(223\) −13.8314 + 13.8314i −0.926221 + 0.926221i −0.997459 0.0712387i \(-0.977305\pi\)
0.0712387 + 0.997459i \(0.477305\pi\)
\(224\) −11.0626 + 23.1849i −0.739152 + 1.54911i
\(225\) −3.23931 3.23931i −0.215954 0.215954i
\(226\) 27.8705 + 8.17715i 1.85392 + 0.543936i
\(227\) −5.73619 + 18.9097i −0.380725 + 1.25508i 0.532084 + 0.846692i \(0.321409\pi\)
−0.912808 + 0.408389i \(0.866091\pi\)
\(228\) −2.99747 2.88989i −0.198512 0.191388i
\(229\) 1.56616 15.9015i 0.103495 1.05080i −0.793444 0.608643i \(-0.791714\pi\)
0.896939 0.442155i \(-0.145786\pi\)
\(230\) −4.00521 2.62359i −0.264096 0.172995i
\(231\) 0.759612 3.81883i 0.0499788 0.251260i
\(232\) 0.662684 + 24.1750i 0.0435074 + 1.58716i
\(233\) 0.820569 0.163221i 0.0537572 0.0106930i −0.168138 0.985763i \(-0.553776\pi\)
0.221896 + 0.975070i \(0.428776\pi\)
\(234\) 7.03237 2.98846i 0.459721 0.195361i
\(235\) 0.0365036 0.0682934i 0.00238123 0.00445497i
\(236\) −0.599751 + 0.758649i −0.0390405 + 0.0493838i
\(237\) −1.06627 10.8260i −0.0692614 0.703223i
\(238\) −3.58256 + 6.85234i −0.232223 + 0.444171i
\(239\) 13.1214 5.43505i 0.848750 0.351564i 0.0844527 0.996427i \(-0.473086\pi\)
0.764298 + 0.644864i \(0.223086\pi\)
\(240\) −2.58723 + 0.0945801i −0.167005 + 0.00610512i
\(241\) 12.4315 + 5.14931i 0.800786 + 0.331696i 0.745271 0.666761i \(-0.232320\pi\)
0.0555148 + 0.998458i \(0.482320\pi\)
\(242\) 11.1370 9.31142i 0.715912 0.598561i
\(243\) 0.773010 + 0.634393i 0.0495886 + 0.0406963i
\(244\) 8.55962 + 10.0498i 0.547973 + 0.643370i
\(245\) 8.43742 2.55946i 0.539047 0.163518i
\(246\) 5.53630 + 5.43606i 0.352981 + 0.346591i
\(247\) 6.24919 9.35257i 0.397626 0.595090i
\(248\) −9.08024 4.53809i −0.576596 0.288169i
\(249\) 3.55579 2.37591i 0.225339 0.150567i
\(250\) −7.24710 + 4.93871i −0.458347 + 0.312351i
\(251\) 1.67899 + 2.04585i 0.105977 + 0.129133i 0.823298 0.567610i \(-0.192132\pi\)
−0.717321 + 0.696743i \(0.754632\pi\)
\(252\) −1.93434 8.87404i −0.121852 0.559012i
\(253\) −3.95538 + 2.11419i −0.248673 + 0.132918i
\(254\) −1.58427 + 0.170663i −0.0994060 + 0.0107084i
\(255\) −0.779275 −0.0488001
\(256\) 10.4574 12.1096i 0.653590 0.756849i
\(257\) −29.9558 −1.86859 −0.934295 0.356502i \(-0.883969\pi\)
−0.934295 + 0.356502i \(0.883969\pi\)
\(258\) 11.7961 1.27072i 0.734391 0.0791113i
\(259\) 7.02172 3.75319i 0.436309 0.233212i
\(260\) −1.48957 6.83364i −0.0923795 0.423804i
\(261\) −5.42429 6.60951i −0.335755 0.409119i
\(262\) −10.3817 + 7.07482i −0.641381 + 0.437084i
\(263\) −8.39890 + 5.61196i −0.517898 + 0.346049i −0.786889 0.617094i \(-0.788310\pi\)
0.268991 + 0.963143i \(0.413310\pi\)
\(264\) −1.08415 + 2.16927i −0.0667248 + 0.133509i
\(265\) 3.80523 5.69493i 0.233753 0.349837i
\(266\) −9.54006 9.36733i −0.584938 0.574348i
\(267\) 12.7756 3.87543i 0.781853 0.237172i
\(268\) −5.41168 6.35381i −0.330571 0.388120i
\(269\) 13.7064 + 11.2486i 0.835697 + 0.685839i 0.951572 0.307425i \(-0.0994673\pi\)
−0.115875 + 0.993264i \(0.536967\pi\)
\(270\) 0.702231 0.587123i 0.0427364 0.0357311i
\(271\) −22.2645 9.22225i −1.35247 0.560212i −0.415492 0.909597i \(-0.636391\pi\)
−0.936979 + 0.349385i \(0.886391\pi\)
\(272\) 3.27874 3.52755i 0.198803 0.213889i
\(273\) 22.6685 9.38961i 1.37196 0.568285i
\(274\) −4.72840 + 9.04398i −0.285653 + 0.546367i
\(275\) 0.384994 + 3.90891i 0.0232160 + 0.235716i
\(276\) −6.48800 + 8.20693i −0.390532 + 0.493999i
\(277\) −5.78986 + 10.8321i −0.347879 + 0.650836i −0.993627 0.112714i \(-0.964045\pi\)
0.645748 + 0.763550i \(0.276545\pi\)
\(278\) 21.8864 9.30077i 1.31266 0.557823i
\(279\) 3.52000 0.700171i 0.210737 0.0419182i
\(280\) −8.31034 + 0.227803i −0.496638 + 0.0136138i
\(281\) −2.72960 + 13.7226i −0.162834 + 0.818622i 0.809877 + 0.586600i \(0.199534\pi\)
−0.972711 + 0.232022i \(0.925466\pi\)
\(282\) −0.141537 0.0927130i −0.00842840 0.00552098i
\(283\) −0.661765 + 6.71902i −0.0393379 + 0.399404i 0.955273 + 0.295725i \(0.0955614\pi\)
−0.994611 + 0.103679i \(0.966939\pi\)
\(284\) 13.9394 + 13.4392i 0.827152 + 0.797467i
\(285\) 0.391145 1.28943i 0.0231694 0.0763794i
\(286\) −6.28643 1.84443i −0.371725 0.109063i
\(287\) 17.6175 + 17.6175i 1.03993 + 1.03993i
\(288\) −0.296846 + 5.64906i −0.0174918 + 0.332874i
\(289\) −10.9958 + 10.9958i −0.646811 + 0.646811i
\(290\) −6.86832 + 3.75226i −0.403322 + 0.220340i
\(291\) 0.494547 + 0.150019i 0.0289909 + 0.00879428i
\(292\) 1.30008 + 0.510887i 0.0760812 + 0.0298974i
\(293\) 12.6148 + 1.24245i 0.736964 + 0.0725846i 0.459532 0.888161i \(-0.348017\pi\)
0.277431 + 0.960746i \(0.410517\pi\)
\(294\) −3.93091 18.8599i −0.229255 1.09993i
\(295\) −0.306954 0.0610569i −0.0178716 0.00355487i
\(296\) −4.83530 + 1.10035i −0.281046 + 0.0639564i
\(297\) −0.167271 0.840927i −0.00970604 0.0487956i
\(298\) −6.51892 + 16.1539i −0.377631 + 0.935770i
\(299\) −24.9253 13.3228i −1.44146 0.770479i
\(300\) 4.46591 + 8.00005i 0.257839 + 0.461883i
\(301\) 37.9143 3.73423i 2.18534 0.215237i
\(302\) 10.1426 3.17819i 0.583641 0.182884i
\(303\) −4.92430 11.8883i −0.282894 0.682966i
\(304\) 4.19117 + 7.19578i 0.240380 + 0.412706i
\(305\) −1.63486 + 3.94690i −0.0936117 + 0.225999i
\(306\) −0.151408 + 1.69596i −0.00865544 + 0.0969518i
\(307\) 0.101098 0.123188i 0.00576997 0.00703073i −0.770117 0.637902i \(-0.779802\pi\)
0.775887 + 0.630871i \(0.217302\pi\)
\(308\) −3.54482 + 6.93369i −0.201985 + 0.395084i
\(309\) 4.75602 + 15.6785i 0.270561 + 0.891919i
\(310\) −0.0300092 3.28497i −0.00170441 0.186574i
\(311\) −0.995466 0.665149i −0.0564477 0.0377171i 0.527026 0.849849i \(-0.323307\pi\)
−0.583474 + 0.812132i \(0.698307\pi\)
\(312\) −15.1617 + 1.91408i −0.858362 + 0.108363i
\(313\) −0.116001 0.173608i −0.00655677 0.00981290i 0.828177 0.560467i \(-0.189378\pi\)
−0.834734 + 0.550654i \(0.814378\pi\)
\(314\) 5.19492 27.4236i 0.293167 1.54760i
\(315\) 2.27207 1.86464i 0.128017 0.105061i
\(316\) −3.85398 + 21.4127i −0.216803 + 1.20456i
\(317\) 5.49604 + 10.2824i 0.308689 + 0.577516i 0.987653 0.156655i \(-0.0500711\pi\)
−0.678965 + 0.734171i \(0.737571\pi\)
\(318\) −11.6547 9.38794i −0.653565 0.526449i
\(319\) 7.33109i 0.410462i
\(320\) 5.02987 + 1.22937i 0.281178 + 0.0687238i
\(321\) 9.79376i 0.546634i
\(322\) −21.0736 + 26.1620i −1.17439 + 1.45795i
\(323\) 1.18157 + 2.21057i 0.0657444 + 0.122999i
\(324\) −1.14134 1.64236i −0.0634075 0.0912423i
\(325\) −19.1333 + 15.7023i −1.06132 + 0.871006i
\(326\) −7.31402 1.38552i −0.405086 0.0767366i
\(327\) −11.3761 17.0256i −0.629100 0.941515i
\(328\) −7.68735 13.4800i −0.424463 0.744308i
\(329\) −0.451753 0.301852i −0.0249060 0.0166416i
\(330\) −0.784779 + 0.00716919i −0.0432006 + 0.000394651i
\(331\) −5.84953 19.2833i −0.321519 1.05991i −0.957556 0.288248i \(-0.906927\pi\)
0.636037 0.771659i \(-0.280573\pi\)
\(332\) −8.13802 + 2.63193i −0.446632 + 0.144446i
\(333\) 1.11225 1.35528i 0.0609507 0.0742687i
\(334\) −24.9436 2.22686i −1.36485 0.121848i
\(335\) 1.03361 2.49536i 0.0564723 0.136336i
\(336\) −1.11887 + 18.1303i −0.0610395 + 0.989091i
\(337\) −1.11679 2.69616i −0.0608353 0.146869i 0.890539 0.454907i \(-0.150328\pi\)
−0.951374 + 0.308038i \(0.900328\pi\)
\(338\) −6.84735 21.8521i −0.372447 1.18860i
\(339\) 20.4392 2.01309i 1.11011 0.109336i
\(340\) 1.49946 + 0.425101i 0.0813195 + 0.0230543i
\(341\) −2.71383 1.45057i −0.146962 0.0785530i
\(342\) −2.73024 1.10179i −0.147634 0.0595781i
\(343\) −5.86724 29.4966i −0.316801 1.59267i
\(344\) −23.3908 3.98978i −1.26115 0.215114i
\(345\) −3.32057 0.660503i −0.178774 0.0355603i
\(346\) −20.3975 + 4.25138i −1.09658 + 0.228556i
\(347\) −4.63748 0.456751i −0.248953 0.0245197i −0.0272290 0.999629i \(-0.508668\pi\)
−0.221724 + 0.975110i \(0.571168\pi\)
\(348\) 6.83170 + 15.6768i 0.366217 + 0.840365i
\(349\) 15.4371 + 4.68278i 0.826327 + 0.250664i 0.674998 0.737820i \(-0.264145\pi\)
0.151329 + 0.988483i \(0.451645\pi\)
\(350\) 14.1053 + 25.8190i 0.753960 + 1.38009i
\(351\) 3.82051 3.82051i 0.203924 0.203924i
\(352\) 3.26944 3.58263i 0.174262 0.190955i
\(353\) 8.36360 + 8.36360i 0.445149 + 0.445149i 0.893738 0.448589i \(-0.148073\pi\)
−0.448589 + 0.893738i \(0.648073\pi\)
\(354\) −0.192520 + 0.656171i −0.0102323 + 0.0348751i
\(355\) −1.81898 + 5.99638i −0.0965415 + 0.318255i
\(356\) −26.6964 + 0.487801i −1.41491 + 0.0258534i
\(357\) −0.535918 + 5.44127i −0.0283638 + 0.287983i
\(358\) 5.76792 8.80538i 0.304844 0.465379i
\(359\) 2.88729 14.5154i 0.152385 0.766092i −0.826700 0.562643i \(-0.809785\pi\)
0.979085 0.203449i \(-0.0652153\pi\)
\(360\) −1.67149 + 0.746650i −0.0880952 + 0.0393519i
\(361\) 14.3841 2.86118i 0.757059 0.150588i
\(362\) 9.56974 + 22.5193i 0.502974 + 1.18359i
\(363\) 4.83882 9.05280i 0.253972 0.475149i
\(364\) −48.7401 + 5.70133i −2.55468 + 0.298831i
\(365\) 0.0443087 + 0.449874i 0.00231922 + 0.0235475i
\(366\) 8.27212 + 4.32486i 0.432391 + 0.226064i
\(367\) −33.7900 + 13.9963i −1.76382 + 0.730600i −0.767883 + 0.640590i \(0.778690\pi\)
−0.995941 + 0.0900098i \(0.971310\pi\)
\(368\) 16.9609 12.2523i 0.884151 0.638693i
\(369\) 5.06878 + 2.09956i 0.263870 + 0.109299i
\(370\) −1.02937 1.23118i −0.0535144 0.0640061i
\(371\) −37.1478 30.4864i −1.92862 1.58278i
\(372\) −7.15502 0.572939i −0.370970 0.0297055i
\(373\) 9.10327 2.76145i 0.471349 0.142982i −0.0456689 0.998957i \(-0.514542\pi\)
0.517018 + 0.855974i \(0.327042\pi\)
\(374\) 1.02284 1.04170i 0.0528896 0.0538648i
\(375\) −3.44524 + 5.15616i −0.177911 + 0.266263i
\(376\) 0.221765 + 0.255605i 0.0114367 + 0.0131818i
\(377\) −38.4120 + 25.6661i −1.97832 + 1.32187i
\(378\) −3.61664 5.30708i −0.186020 0.272967i
\(379\) 12.4389 + 15.1568i 0.638941 + 0.778552i 0.987310 0.158805i \(-0.0507643\pi\)
−0.348369 + 0.937358i \(0.613264\pi\)
\(380\) −1.45602 + 2.26771i −0.0746925 + 0.116331i
\(381\) −0.993688 + 0.531137i −0.0509082 + 0.0272110i
\(382\) −0.395547 3.67187i −0.0202380 0.187869i
\(383\) −6.38394 −0.326204 −0.163102 0.986609i \(-0.552150\pi\)
−0.163102 + 0.986609i \(0.552150\pi\)
\(384\) 3.65279 10.7078i 0.186405 0.546431i
\(385\) −2.52012 −0.128437
\(386\) 1.44177 + 13.3840i 0.0733840 + 0.681225i
\(387\) 7.39874 3.95471i 0.376099 0.201029i
\(388\) −0.869755 0.558441i −0.0441551 0.0283506i
\(389\) −7.54846 9.19782i −0.382722 0.466348i 0.545643 0.838018i \(-0.316285\pi\)
−0.928365 + 0.371670i \(0.878785\pi\)
\(390\) −2.78506 4.08683i −0.141027 0.206944i
\(391\) 5.23655 3.49895i 0.264824 0.176950i
\(392\) −2.72451 + 38.4340i −0.137609 + 1.94121i
\(393\) −4.93539 + 7.38633i −0.248957 + 0.372591i
\(394\) 26.3412 26.8269i 1.32705 1.35152i
\(395\) −6.73774 + 2.04387i −0.339012 + 0.102838i
\(396\) −0.136875 + 1.70933i −0.00687823 + 0.0858972i
\(397\) −5.55354 4.55767i −0.278724 0.228743i 0.484636 0.874716i \(-0.338952\pi\)
−0.763361 + 0.645973i \(0.776452\pi\)
\(398\) −18.3158 21.9068i −0.918091 1.09809i
\(399\) −8.73444 3.61792i −0.437269 0.181123i
\(400\) −4.22907 17.8296i −0.211454 0.891481i
\(401\) 22.1768 9.18593i 1.10746 0.458723i 0.247395 0.968915i \(-0.420425\pi\)
0.860061 + 0.510191i \(0.170425\pi\)
\(402\) −5.22992 2.73432i −0.260845 0.136376i
\(403\) −1.90067 19.2978i −0.0946792 0.961294i
\(404\) 2.99001 + 25.5613i 0.148759 + 1.27172i
\(405\) 0.305107 0.570815i 0.0151609 0.0283640i
\(406\) 21.4766 + 50.5384i 1.06587 + 2.50818i
\(407\) −1.47435 + 0.293267i −0.0730809 + 0.0145367i
\(408\) 1.21650 3.18072i 0.0602255 0.157469i
\(409\) 1.69762 8.53451i 0.0839419 0.422004i −0.915848 0.401524i \(-0.868481\pi\)
0.999790 0.0204801i \(-0.00651948\pi\)
\(410\) 2.75176 4.20088i 0.135900 0.207467i
\(411\) −0.707326 + 7.18160i −0.0348898 + 0.354242i
\(412\) −0.598641 32.7625i −0.0294929 1.61409i
\(413\) −0.637425 + 2.10131i −0.0313656 + 0.103399i
\(414\) −2.08264 + 7.09835i −0.102356 + 0.348865i
\(415\) −1.95723 1.95723i −0.0960764 0.0960764i
\(416\) 30.2178 + 4.58782i 1.48155 + 0.224936i
\(417\) 11.8903 11.8903i 0.582271 0.582271i
\(418\) 1.21025 + 2.21531i 0.0591954 + 0.108354i
\(419\) 6.59066 + 1.99926i 0.321975 + 0.0976700i 0.447135 0.894467i \(-0.352444\pi\)
−0.125160 + 0.992137i \(0.539944\pi\)
\(420\) −5.38903 + 2.34845i −0.262958 + 0.114593i
\(421\) 2.83729 + 0.279448i 0.138281 + 0.0136195i 0.166921 0.985970i \(-0.446618\pi\)
−0.0286398 + 0.999590i \(0.509118\pi\)
\(422\) 16.1372 3.36341i 0.785545 0.163728i
\(423\) −0.117343 0.0233410i −0.00570541 0.00113488i
\(424\) 17.3045 + 24.4217i 0.840379 + 1.18602i
\(425\) −1.07604 5.40962i −0.0521957 0.262405i
\(426\) 12.6967 + 5.12377i 0.615157 + 0.248247i
\(427\) 26.4348 + 14.1297i 1.27927 + 0.683784i
\(428\) 5.34257 18.8448i 0.258243 0.910899i
\(429\) −4.61025 + 0.454070i −0.222585 + 0.0219227i
\(430\) −2.29615 7.32774i −0.110730 0.353375i
\(431\) 14.7150 + 35.5252i 0.708798 + 1.71119i 0.702983 + 0.711207i \(0.251851\pi\)
0.00581486 + 0.999983i \(0.498149\pi\)
\(432\) 1.30020 + 3.78279i 0.0625559 + 0.181999i
\(433\) 7.96552 19.2305i 0.382798 0.924157i −0.608624 0.793459i \(-0.708278\pi\)
0.991422 0.130698i \(-0.0417219\pi\)
\(434\) −22.9579 2.04958i −1.10201 0.0983830i
\(435\) −3.51082 + 4.27794i −0.168331 + 0.205112i
\(436\) 12.6020 + 38.9658i 0.603525 + 1.86612i
\(437\) 3.16116 + 10.4209i 0.151219 + 0.498501i
\(438\) 0.987684 0.00902279i 0.0471934 0.000431126i
\(439\) 25.8208 + 17.2529i 1.23236 + 0.823437i 0.989203 0.146549i \(-0.0468167\pi\)
0.243158 + 0.969987i \(0.421817\pi\)
\(440\) 1.51396 + 0.414308i 0.0721751 + 0.0197514i
\(441\) −7.56830 11.3268i −0.360395 0.539369i
\(442\) 9.03901 + 1.71229i 0.429942 + 0.0814451i
\(443\) 4.03268 3.30953i 0.191598 0.157241i −0.533704 0.845672i \(-0.679200\pi\)
0.725302 + 0.688431i \(0.241700\pi\)
\(444\) −2.87946 + 2.00104i −0.136653 + 0.0949651i
\(445\) −4.07331 7.62064i −0.193094 0.361253i
\(446\) 17.3531 21.5431i 0.821691 1.02009i
\(447\) 12.3176i 0.582601i
\(448\) 12.0431 34.2755i 0.568985 1.61936i
\(449\) 21.9796i 1.03728i 0.854992 + 0.518642i \(0.173562\pi\)
−0.854992 + 0.518642i \(0.826438\pi\)
\(450\) 5.04538 + 4.06408i 0.237842 + 0.191582i
\(451\) −2.21748 4.14861i −0.104417 0.195350i
\(452\) −40.4267 7.27624i −1.90151 0.342245i
\(453\) 5.80976 4.76795i 0.272966 0.224018i
\(454\) 5.20133 27.4574i 0.244110 1.28864i
\(455\) −8.82292 13.2044i −0.413625 0.619033i
\(456\) 4.65240 + 3.60940i 0.217869 + 0.169026i
\(457\) 17.4191 + 11.6390i 0.814829 + 0.544451i 0.891720 0.452588i \(-0.149499\pi\)
−0.0768905 + 0.997040i \(0.524499\pi\)
\(458\) 0.206421 + 22.5959i 0.00964541 + 1.05584i
\(459\) 0.349502 + 1.15215i 0.0163133 + 0.0537779i
\(460\) 6.02903 + 3.08232i 0.281105 + 0.143714i
\(461\) 18.3169 22.3192i 0.853101 1.03951i −0.145639 0.989338i \(-0.546524\pi\)
0.998741 0.0501693i \(-0.0159761\pi\)
\(462\) −0.489644 + 5.48463i −0.0227803 + 0.255168i
\(463\) 8.53662 20.6092i 0.396730 0.957792i −0.591706 0.806154i \(-0.701545\pi\)
0.988436 0.151638i \(-0.0484547\pi\)
\(464\) −4.59352 33.8915i −0.213249 1.57338i
\(465\) −0.888943 2.14610i −0.0412238 0.0995230i
\(466\) −1.12906 + 0.353792i −0.0523028 + 0.0163891i
\(467\) 36.5667 3.60151i 1.69211 0.166658i 0.794442 0.607340i \(-0.207763\pi\)
0.897663 + 0.440682i \(0.145263\pi\)
\(468\) −9.43542 + 5.26718i −0.436152 + 0.243476i
\(469\) −16.7130 8.93328i −0.771734 0.412500i
\(470\) −0.0409827 + 0.101555i −0.00189039 + 0.00468439i
\(471\) −3.85035 19.3570i −0.177415 0.891925i
\(472\) 0.728386 1.15756i 0.0335267 0.0532811i
\(473\) −7.05482 1.40329i −0.324381 0.0645234i
\(474\) 3.13904 + 15.0607i 0.144181 + 0.691760i
\(475\) 9.49117 + 0.934799i 0.435485 + 0.0428915i
\(476\) 3.99945 10.1776i 0.183315 0.466488i
\(477\) −10.1265 3.07185i −0.463662 0.140650i
\(478\) −17.6264 + 9.62957i −0.806214 + 0.440446i
\(479\) −18.0484 + 18.0484i −0.824651 + 0.824651i −0.986771 0.162120i \(-0.948167\pi\)
0.162120 + 0.986771i \(0.448167\pi\)
\(480\) 3.62353 0.524870i 0.165391 0.0239569i
\(481\) −6.69829 6.69829i −0.305416 0.305416i
\(482\) −18.2597 5.35736i −0.831706 0.244021i
\(483\) −6.89555 + 22.7316i −0.313759 + 1.03432i
\(484\) −14.2491 + 14.7795i −0.647685 + 0.671795i
\(485\) 0.0327862 0.332883i 0.00148874 0.0151155i
\(486\) −1.18300 0.774921i −0.0536621 0.0351511i
\(487\) 6.56276 32.9932i 0.297387 1.49506i −0.486236 0.873828i \(-0.661630\pi\)
0.783623 0.621237i \(-0.213370\pi\)
\(488\) −13.5577 12.8343i −0.613729 0.580979i
\(489\) −5.16263 + 1.02691i −0.233462 + 0.0464385i
\(490\) −11.4760 + 4.87681i −0.518433 + 0.220312i
\(491\) 15.8871 29.7227i 0.716974 1.34136i −0.214200 0.976790i \(-0.568714\pi\)
0.931174 0.364575i \(-0.118786\pi\)
\(492\) −8.60786 6.80496i −0.388072 0.306791i
\(493\) −1.00905 10.2450i −0.0454452 0.461413i
\(494\) −7.37024 + 14.0970i −0.331603 + 0.634254i
\(495\) −0.512703 + 0.212368i −0.0230443 + 0.00954525i
\(496\) 13.4549 + 5.00555i 0.604143 + 0.224756i
\(497\) 40.6186 + 16.8248i 1.82199 + 0.754695i
\(498\) −4.63985 + 3.87930i −0.207917 + 0.173836i
\(499\) −13.7450 11.2802i −0.615311 0.504973i 0.274329 0.961636i \(-0.411544\pi\)
−0.889640 + 0.456663i \(0.849044\pi\)
\(500\) 9.44194 8.04192i 0.422256 0.359645i
\(501\) −16.9454 + 5.14034i −0.757067 + 0.229654i
\(502\) −2.67067 2.62232i −0.119198 0.117040i
\(503\) −20.0934 + 30.0719i −0.895920 + 1.34084i 0.0438527 + 0.999038i \(0.486037\pi\)
−0.939772 + 0.341801i \(0.888963\pi\)
\(504\) 4.06396 + 12.1846i 0.181023 + 0.542746i
\(505\) −6.92495 + 4.62711i −0.308156 + 0.205904i
\(506\) 5.24134 3.57184i 0.233006 0.158787i
\(507\) −10.2725 12.5170i −0.456216 0.555901i
\(508\) 2.20176 0.479933i 0.0976873 0.0212936i
\(509\) 3.11581 1.66543i 0.138106 0.0738190i −0.400897 0.916123i \(-0.631301\pi\)
0.539002 + 0.842304i \(0.318801\pi\)
\(510\) 1.09572 0.118035i 0.0485194 0.00522669i
\(511\) 3.17170 0.140308
\(512\) −12.8698 + 18.6110i −0.568769 + 0.822498i
\(513\) −2.08184 −0.0919157
\(514\) 42.1202 4.53734i 1.85784 0.200133i
\(515\) 9.35224 4.99887i 0.412109 0.220277i
\(516\) −16.3937 + 3.57345i −0.721694 + 0.157312i
\(517\) 0.0650769 + 0.0792964i 0.00286208 + 0.00348745i
\(518\) −9.30461 + 6.34084i −0.408821 + 0.278601i
\(519\) −12.2502 + 8.18531i −0.537723 + 0.359295i
\(520\) 3.12954 + 9.38301i 0.137239 + 0.411472i
\(521\) −11.0241 + 16.4987i −0.482975 + 0.722823i −0.990302 0.138931i \(-0.955633\pi\)
0.507327 + 0.861753i \(0.330633\pi\)
\(522\) 8.62810 + 8.47189i 0.377642 + 0.370805i
\(523\) 20.0375 6.07830i 0.876177 0.265785i 0.180009 0.983665i \(-0.442387\pi\)
0.696167 + 0.717880i \(0.254887\pi\)
\(524\) 13.5258 11.5202i 0.590878 0.503264i
\(525\) 16.0814 + 13.1977i 0.701851 + 0.575994i
\(526\) 10.9595 9.16303i 0.477856 0.399527i
\(527\) 3.99217 + 1.65361i 0.173902 + 0.0720325i
\(528\) 1.19582 3.21438i 0.0520416 0.139888i
\(529\) 4.02993 1.66925i 0.175214 0.0725761i
\(530\) −4.48785 + 8.58389i −0.194940 + 0.372860i
\(531\) 0.0473953 + 0.481213i 0.00205678 + 0.0208829i
\(532\) 14.8329 + 11.7262i 0.643089 + 0.508395i
\(533\) 13.9737 26.1429i 0.605267 1.13238i
\(534\) −17.3765 + 7.38425i −0.751953 + 0.319548i
\(535\) 6.21712 1.23666i 0.268789 0.0534655i
\(536\) 8.57165 + 8.11426i 0.370239 + 0.350482i
\(537\) 1.45210 7.30022i 0.0626629 0.315028i
\(538\) −20.9761 13.7403i −0.904346 0.592387i
\(539\) −1.14484 + 11.6238i −0.0493119 + 0.500672i
\(540\) −0.898461 + 0.931906i −0.0386636 + 0.0401028i
\(541\) 9.27001 30.5591i 0.398549 1.31384i −0.496564 0.868000i \(-0.665405\pi\)
0.895113 0.445839i \(-0.147095\pi\)
\(542\) 32.7025 + 9.59486i 1.40469 + 0.412134i
\(543\) 12.2342 + 12.2342i 0.525019 + 0.525019i
\(544\) −4.07585 + 5.45664i −0.174751 + 0.233951i
\(545\) −9.37142 + 9.37142i −0.401428 + 0.401428i
\(546\) −30.4515 + 16.6361i −1.30320 + 0.711958i
\(547\) 27.9288 + 8.47210i 1.19415 + 0.362241i 0.823923 0.566701i \(-0.191781\pi\)
0.370225 + 0.928942i \(0.379281\pi\)
\(548\) 5.27863 13.4328i 0.225492 0.573819i
\(549\) 6.56869 + 0.646959i 0.280345 + 0.0276115i
\(550\) −1.13341 5.43793i −0.0483287 0.231874i
\(551\) 17.4585 + 3.47271i 0.743756 + 0.147942i
\(552\) 7.87956 12.5223i 0.335376 0.532985i
\(553\) 9.63764 + 48.4517i 0.409834 + 2.06037i
\(554\) 6.50029 16.1077i 0.276171 0.684351i
\(555\) −1.00078 0.534927i −0.0424807 0.0227064i
\(556\) −29.3652 + 16.3927i −1.24536 + 0.695206i
\(557\) 34.3208 3.38031i 1.45422 0.143228i 0.660187 0.751102i \(-0.270477\pi\)
0.794034 + 0.607873i \(0.207977\pi\)
\(558\) −4.84334 + 1.51766i −0.205035 + 0.0642478i
\(559\) −17.3462 41.8774i −0.733665 1.77122i
\(560\) 11.6505 1.57906i 0.492323 0.0667275i
\(561\) 0.395048 0.953729i 0.0166789 0.0402665i
\(562\) 1.75949 19.7085i 0.0742197 0.831353i
\(563\) −12.1446 + 14.7982i −0.511832 + 0.623669i −0.963238 0.268649i \(-0.913423\pi\)
0.451406 + 0.892319i \(0.350923\pi\)
\(564\) 0.213055 + 0.108924i 0.00897124 + 0.00458651i
\(565\) −3.85879 12.7207i −0.162340 0.535164i
\(566\) −0.0872212 9.54770i −0.00366618 0.401320i
\(567\) −3.77588 2.52296i −0.158572 0.105954i
\(568\) −21.6355 16.7851i −0.907806 0.704289i
\(569\) −20.4848 30.6577i −0.858769 1.28524i −0.957004 0.290075i \(-0.906320\pi\)
0.0982353 0.995163i \(-0.468680\pi\)
\(570\) −0.354673 + 1.87229i −0.0148556 + 0.0784216i
\(571\) −17.2162 + 14.1290i −0.720476 + 0.591279i −0.921533 0.388300i \(-0.873062\pi\)
0.201057 + 0.979580i \(0.435562\pi\)
\(572\) 9.11859 + 1.64122i 0.381268 + 0.0686229i
\(573\) −1.23102 2.30307i −0.0514265 0.0962122i
\(574\) −27.4401 22.1031i −1.14533 0.922566i
\(575\) 23.9630i 0.999327i
\(576\) −0.438263 7.98799i −0.0182609 0.332833i
\(577\) 7.25988i 0.302233i 0.988516 + 0.151116i \(0.0482868\pi\)
−0.988516 + 0.151116i \(0.951713\pi\)
\(578\) 13.7954 17.1265i 0.573814 0.712367i
\(579\) 4.48705 + 8.39469i 0.186476 + 0.348871i
\(580\) 9.08905 6.31630i 0.377402 0.262270i
\(581\) −15.0123 + 12.3203i −0.622815 + 0.511131i
\(582\) −0.718095 0.136031i −0.0297660 0.00563866i
\(583\) 5.04080 + 7.54410i 0.208769 + 0.312445i
\(584\) −1.90539 0.521428i −0.0788457 0.0215768i
\(585\) −2.90769 1.94286i −0.120218 0.0803273i
\(586\) −17.9256 + 0.163756i −0.740499 + 0.00676468i
\(587\) 9.76925 + 32.2049i 0.403220 + 1.32924i 0.890098 + 0.455769i \(0.150636\pi\)
−0.486878 + 0.873470i \(0.661864\pi\)
\(588\) 8.38384 + 25.9231i 0.345744 + 1.06905i
\(589\) −4.73997 + 5.77567i −0.195307 + 0.237982i
\(590\) 0.440850 + 0.0393572i 0.0181495 + 0.00162031i
\(591\) 10.1737 24.5615i 0.418490 1.01032i
\(592\) 6.63215 2.27957i 0.272580 0.0936896i
\(593\) 2.13915 + 5.16436i 0.0878442 + 0.212075i 0.961696 0.274117i \(-0.0883856\pi\)
−0.873852 + 0.486192i \(0.838386\pi\)
\(594\) 0.362570 + 1.15707i 0.0148764 + 0.0474753i
\(595\) 3.52181 0.346868i 0.144380 0.0142202i
\(596\) 6.71932 23.7011i 0.275234 0.970833i
\(597\) −17.8071 9.51811i −0.728797 0.389550i
\(598\) 37.0649 + 14.9576i 1.51569 + 0.611661i
\(599\) −1.10101 5.53513i −0.0449859 0.226159i 0.951752 0.306869i \(-0.0992813\pi\)
−0.996738 + 0.0807097i \(0.974281\pi\)
\(600\) −7.49117 10.5723i −0.305826 0.431611i
\(601\) 44.1780 + 8.78756i 1.80206 + 0.358452i 0.978090 0.208182i \(-0.0667547\pi\)
0.823969 + 0.566634i \(0.191755\pi\)
\(602\) −52.7449 + 10.9934i −2.14972 + 0.448058i
\(603\) −4.15295 0.409030i −0.169121 0.0166570i
\(604\) −13.7799 + 6.00506i −0.560696 + 0.244343i
\(605\) −6.35775 1.92860i −0.258479 0.0784089i
\(606\) 8.72465 + 15.9700i 0.354415 + 0.648738i
\(607\) −12.4161 + 12.4161i −0.503953 + 0.503953i −0.912664 0.408711i \(-0.865978\pi\)
0.408711 + 0.912664i \(0.365978\pi\)
\(608\) −6.98305 9.48301i −0.283200 0.384587i
\(609\) 27.4562 + 27.4562i 1.11258 + 1.11258i
\(610\) 1.70091 5.79728i 0.0688679 0.234725i
\(611\) −0.187648 + 0.618592i −0.00759142 + 0.0250256i
\(612\) −0.0439918 2.40759i −0.00177826 0.0973211i
\(613\) −0.104808 + 1.06413i −0.00423315 + 0.0429799i −0.997069 0.0765043i \(-0.975624\pi\)
0.992836 + 0.119484i \(0.0381241\pi\)
\(614\) −0.123493 + 0.188526i −0.00498376 + 0.00760827i
\(615\) 0.692771 3.48279i 0.0279352 0.140440i
\(616\) 3.93406 10.2862i 0.158508 0.414444i
\(617\) 6.41479 1.27598i 0.258250 0.0513690i −0.0642674 0.997933i \(-0.520471\pi\)
0.322517 + 0.946564i \(0.395471\pi\)
\(618\) −9.06214 21.3248i −0.364533 0.857811i
\(619\) 6.59408 12.3366i 0.265038 0.495852i −0.713837 0.700312i \(-0.753044\pi\)
0.978875 + 0.204461i \(0.0655440\pi\)
\(620\) 0.539763 + 4.61438i 0.0216774 + 0.185318i
\(621\) 0.512715 + 5.20568i 0.0205745 + 0.208897i
\(622\) 1.50045 + 0.784471i 0.0601626 + 0.0314544i
\(623\) −56.0122 + 23.2010i −2.24408 + 0.929529i
\(624\) 21.0286 4.98785i 0.841818 0.199674i
\(625\) −17.4536 7.22954i −0.698146 0.289181i
\(626\) 0.189403 + 0.226536i 0.00757005 + 0.00905420i
\(627\) 1.37981 + 1.13238i 0.0551042 + 0.0452228i
\(628\) −3.15068 + 39.3466i −0.125726 + 1.57010i
\(629\) 2.02001 0.612762i 0.0805429 0.0244324i
\(630\) −2.91228 + 2.96598i −0.116028 + 0.118168i
\(631\) −9.24231 + 13.8321i −0.367930 + 0.550647i −0.968528 0.248905i \(-0.919929\pi\)
0.600598 + 0.799551i \(0.294929\pi\)
\(632\) 2.17567 30.6916i 0.0865434 1.22085i
\(633\) 9.69154 6.47568i 0.385204 0.257385i
\(634\) −9.28532 13.6254i −0.368767 0.541132i
\(635\) 0.462641 + 0.563730i 0.0183594 + 0.0223709i
\(636\) 17.8094 + 11.4349i 0.706190 + 0.453422i
\(637\) −64.9120 + 34.6962i −2.57191 + 1.37471i
\(638\) −1.11043 10.3081i −0.0439622 0.408101i
\(639\) 9.68140 0.382990
\(640\) −7.25860 0.966725i −0.286921 0.0382131i
\(641\) −20.4930 −0.809426 −0.404713 0.914444i \(-0.632629\pi\)
−0.404713 + 0.914444i \(0.632629\pi\)
\(642\) −1.48344 13.7708i −0.0585467 0.543490i
\(643\) −33.5517 + 17.9338i −1.32315 + 0.707239i −0.973294 0.229564i \(-0.926270\pi\)
−0.349858 + 0.936803i \(0.613770\pi\)
\(644\) 25.6685 39.9778i 1.01148 1.57535i
\(645\) −3.44470 4.19738i −0.135635 0.165272i
\(646\) −1.99621 2.92926i −0.0785399 0.115250i
\(647\) 15.4776 10.3418i 0.608486 0.406577i −0.212799 0.977096i \(-0.568258\pi\)
0.821284 + 0.570519i \(0.193258\pi\)
\(648\) 1.85357 + 2.13641i 0.0728152 + 0.0839263i
\(649\) 0.230334 0.344718i 0.00904138 0.0135314i
\(650\) 24.5245 24.9767i 0.961930 0.979667i
\(651\) −15.5964 + 4.73112i −0.611272 + 0.185427i
\(652\) 10.4940 + 0.840305i 0.410975 + 0.0329089i
\(653\) −30.6330 25.1399i −1.19876 0.983800i −0.999993 0.00375339i \(-0.998805\pi\)
−0.198770 0.980046i \(-0.563695\pi\)
\(654\) 18.5745 + 22.2162i 0.726322 + 0.868720i
\(655\) 5.31207 + 2.20033i 0.207560 + 0.0859740i
\(656\) 12.8508 + 17.7895i 0.501740 + 0.694565i
\(657\) 0.645263 0.267277i 0.0251741 0.0104275i
\(658\) 0.680922 + 0.356001i 0.0265451 + 0.0138784i
\(659\) 0.487480 + 4.94947i 0.0189895 + 0.192804i 0.999999 0.00115418i \(-0.000367387\pi\)
−0.981010 + 0.193958i \(0.937867\pi\)
\(660\) 1.10237 0.128949i 0.0429099 0.00501934i
\(661\) 3.38955 6.34140i 0.131838 0.246652i −0.807337 0.590091i \(-0.799092\pi\)
0.939175 + 0.343439i \(0.111592\pi\)
\(662\) 11.1457 + 26.2278i 0.433190 + 1.01937i
\(663\) 6.38022 1.26910i 0.247787 0.0492879i
\(664\) 11.0440 4.93335i 0.428592 0.191451i
\(665\) −1.19377 + 6.00149i −0.0462925 + 0.232728i
\(666\) −1.35863 + 2.07409i −0.0526457 + 0.0803695i
\(667\) 4.38389 44.5104i 0.169745 1.72345i
\(668\) 35.4100 0.647016i 1.37005 0.0250338i
\(669\) 5.67814 18.7183i 0.219530 0.723692i
\(670\) −1.07537 + 3.66524i −0.0415453 + 0.141600i
\(671\) −4.00170 4.00170i −0.154484 0.154484i
\(672\) −1.17294 25.6622i −0.0452472 0.989939i
\(673\) −14.0244 + 14.0244i −0.540600 + 0.540600i −0.923705 0.383105i \(-0.874855\pi\)
0.383105 + 0.923705i \(0.374855\pi\)
\(674\) 1.97867 + 3.62186i 0.0762156 + 0.139509i
\(675\) 4.38382 + 1.32982i 0.168733 + 0.0511847i
\(676\) 12.9378 + 29.6886i 0.497608 + 1.14187i
\(677\) −12.3847 1.21979i −0.475984 0.0468803i −0.142819 0.989749i \(-0.545617\pi\)
−0.333165 + 0.942868i \(0.608117\pi\)
\(678\) −28.4343 + 5.92645i −1.09201 + 0.227604i
\(679\) −2.30180 0.457857i −0.0883351 0.0175709i
\(680\) −2.17274 0.370605i −0.0833209 0.0142121i
\(681\) −3.85510 19.3809i −0.147728 0.742677i
\(682\) 4.03558 + 1.62856i 0.154530 + 0.0623609i
\(683\) −4.03299 2.15568i −0.154318 0.0824847i 0.392430 0.919782i \(-0.371634\pi\)
−0.546748 + 0.837297i \(0.684134\pi\)
\(684\) 4.00582 + 1.13566i 0.153166 + 0.0434231i
\(685\) 4.64822 0.457810i 0.177600 0.0174920i
\(686\) 12.7176 + 40.5859i 0.485560 + 1.54958i
\(687\) 6.11467 + 14.7621i 0.233289 + 0.563210i
\(688\) 33.4936 + 2.06698i 1.27693 + 0.0788030i
\(689\) −21.8802 + 52.8236i −0.833571 + 2.01242i
\(690\) 4.76904 + 0.425759i 0.181554 + 0.0162084i
\(691\) −14.5439 + 17.7217i −0.553274 + 0.674167i −0.972281 0.233816i \(-0.924879\pi\)
0.419006 + 0.907983i \(0.362379\pi\)
\(692\) 28.0366 9.06734i 1.06579 0.344689i
\(693\) 1.13026 + 3.72598i 0.0429352 + 0.141538i
\(694\) 6.58984 0.0602002i 0.250147 0.00228517i
\(695\) −9.04941 6.04663i −0.343264 0.229362i
\(696\) −11.9804 21.0080i −0.454117 0.796307i
\(697\) 3.66988 + 5.49237i 0.139007 + 0.208038i
\(698\) −22.4150 4.24614i −0.848421 0.160719i
\(699\) −0.646735 + 0.530762i −0.0244618 + 0.0200753i
\(700\) −23.7439 34.1671i −0.897436 1.29140i
\(701\) 3.23923 + 6.06016i 0.122344 + 0.228889i 0.935636 0.352966i \(-0.114827\pi\)
−0.813292 + 0.581855i \(0.802327\pi\)
\(702\) −4.79325 + 5.95062i −0.180910 + 0.224592i
\(703\) 3.64998i 0.137662i
\(704\) −4.05443 + 5.53267i −0.152807 + 0.208520i
\(705\) 0.0774371i 0.00291645i
\(706\) −13.0267 10.4931i −0.490266 0.394912i
\(707\) 27.5463 + 51.5354i 1.03598 + 1.93819i
\(708\) 0.171309 0.951789i 0.00643818 0.0357704i
\(709\) 20.7723 17.0474i 0.780119 0.640227i −0.157647 0.987496i \(-0.550391\pi\)
0.937766 + 0.347269i \(0.112891\pi\)
\(710\) 1.64937 8.70690i 0.0618998 0.326764i
\(711\) 6.04369 + 9.04502i 0.226656 + 0.339215i
\(712\) 37.4634 4.72954i 1.40400 0.177247i
\(713\) 15.6095 + 10.4299i 0.584580 + 0.390604i
\(714\) −0.0706344 7.73203i −0.00264343 0.289364i
\(715\) 0.870384 + 2.86927i 0.0325505 + 0.107305i
\(716\) −6.77641 + 13.2547i −0.253246 + 0.495352i
\(717\) −9.00995 + 10.9787i −0.336483 + 0.410005i
\(718\) −1.86114 + 20.8471i −0.0694571 + 0.778006i
\(719\) 10.5552 25.4825i 0.393642 0.950337i −0.595497 0.803357i \(-0.703045\pi\)
0.989140 0.146979i \(-0.0469551\pi\)
\(720\) 2.23715 1.30303i 0.0833737 0.0485609i
\(721\) −28.4729 68.7396i −1.06038 2.55999i
\(722\) −19.7918 + 6.20178i −0.736576 + 0.230806i
\(723\) −13.3910 + 1.31890i −0.498017 + 0.0490504i
\(724\) −16.8668 30.2144i −0.626848 1.12291i
\(725\) −34.5447 18.4645i −1.28296 0.685756i
\(726\) −5.43256 + 13.4619i −0.201621 + 0.499617i
\(727\) 0.625319 + 3.14369i 0.0231918 + 0.116593i 0.990647 0.136449i \(-0.0435689\pi\)
−0.967455 + 0.253042i \(0.918569\pi\)
\(728\) 67.6689 15.3991i 2.50798 0.570728i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) −0.130443 0.625847i −0.00482791 0.0231636i
\(731\) 10.0521 + 0.990045i 0.371790 + 0.0366181i
\(732\) −12.2863 4.82813i −0.454116 0.178453i
\(733\) −10.9504 3.32177i −0.404463 0.122692i 0.0814971 0.996674i \(-0.474030\pi\)
−0.485960 + 0.873981i \(0.661530\pi\)
\(734\) 45.3914 24.7980i 1.67543 0.915310i
\(735\) −6.23462 + 6.23462i −0.229967 + 0.229967i
\(736\) −21.9926 + 19.7967i −0.810658 + 0.729715i
\(737\) 2.53001 + 2.53001i 0.0931942 + 0.0931942i
\(738\) −7.44512 2.18439i −0.274059 0.0804083i
\(739\) 11.3566 37.4375i 0.417758 1.37716i −0.455644 0.890162i \(-0.650591\pi\)
0.873402 0.487000i \(-0.161909\pi\)
\(740\) 1.63386 + 1.57522i 0.0600618 + 0.0579063i
\(741\) −1.10252 + 11.1941i −0.0405021 + 0.411225i
\(742\) 56.8504 + 37.2396i 2.08704 + 1.36711i
\(743\) −1.55821 + 7.83366i −0.0571652 + 0.287389i −0.998784 0.0492907i \(-0.984304\pi\)
0.941619 + 0.336680i \(0.109304\pi\)
\(744\) 10.1473 0.278158i 0.372018 0.0101978i
\(745\) 7.81924 1.55534i 0.286475 0.0569834i
\(746\) −12.3816 + 5.26166i −0.453324 + 0.192643i
\(747\) −2.01594 + 3.77155i −0.0737593 + 0.137994i
\(748\) −1.28040 + 1.61963i −0.0468162 + 0.0592197i
\(749\) −4.35936 44.2613i −0.159288 1.61727i
\(750\) 4.06328 7.77181i 0.148370 0.283786i
\(751\) 26.8692 11.1296i 0.980470 0.406124i 0.165870 0.986148i \(-0.446957\pi\)
0.814600 + 0.580024i \(0.196957\pi\)
\(752\) −0.350535 0.325810i −0.0127827 0.0118811i
\(753\) −2.44514 1.01281i −0.0891060 0.0369089i
\(754\) 50.1227 41.9067i 1.82536 1.52615i
\(755\) −3.76031 3.08601i −0.136852 0.112311i
\(756\) 5.88913 + 6.91437i 0.214185 + 0.251473i
\(757\) 32.6965 9.91837i 1.18837 0.360489i 0.366642 0.930362i \(-0.380508\pi\)
0.821733 + 0.569873i \(0.193008\pi\)
\(758\) −19.7858 19.4276i −0.718652 0.705641i
\(759\) 2.49171 3.72910i 0.0904433 0.135358i
\(760\) 1.70380 3.40912i 0.0618033 0.123662i
\(761\) −20.5636 + 13.7402i −0.745430 + 0.498080i −0.869341 0.494213i \(-0.835456\pi\)
0.123911 + 0.992293i \(0.460456\pi\)
\(762\) 1.31675 0.897332i 0.0477009 0.0325069i
\(763\) 58.9909 + 71.8806i 2.13561 + 2.60225i
\(764\) 1.11234 + 5.10303i 0.0402431 + 0.184621i
\(765\) 0.687260 0.367348i 0.0248479 0.0132815i
\(766\) 8.97632 0.966962i 0.324328 0.0349378i
\(767\) 2.61258 0.0943349
\(768\) −3.51422 + 15.6093i −0.126808 + 0.563252i
\(769\) −35.2385 −1.27073 −0.635367 0.772211i \(-0.719151\pi\)
−0.635367 + 0.772211i \(0.719151\pi\)
\(770\) 3.54349 0.381718i 0.127699 0.0137562i
\(771\) 26.4186 14.1210i 0.951443 0.508557i
\(772\) −4.05448 18.6005i −0.145924 0.669447i
\(773\) 10.1963 + 12.4242i 0.366736 +