Properties

Label 384.2.v.a.37.19
Level $384$
Weight $2$
Character 384.37
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 37.19
Character \(\chi\) \(=\) 384.37
Dual form 384.2.v.a.301.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.249021 + 1.39212i) q^{2} +(-0.471397 - 0.881921i) q^{3} +(-1.87598 + 0.693333i) q^{4} +(0.986309 - 0.809443i) q^{5} +(1.11035 - 0.875856i) q^{6} +(1.86960 - 1.24923i) q^{7} +(-1.43236 - 2.43892i) q^{8} +(-0.555570 + 0.831470i) q^{9} +O(q^{10})\) \(q+(0.249021 + 1.39212i) q^{2} +(-0.471397 - 0.881921i) q^{3} +(-1.87598 + 0.693333i) q^{4} +(0.986309 - 0.809443i) q^{5} +(1.11035 - 0.875856i) q^{6} +(1.86960 - 1.24923i) q^{7} +(-1.43236 - 2.43892i) q^{8} +(-0.555570 + 0.831470i) q^{9} +(1.37245 + 1.17149i) q^{10} +(-0.801248 - 2.64136i) q^{11} +(1.49579 + 1.32763i) q^{12} +(0.812353 - 0.989855i) q^{13} +(2.20464 + 2.29162i) q^{14} +(-1.17881 - 0.488278i) q^{15} +(3.03858 - 2.60135i) q^{16} +(6.22260 - 2.57749i) q^{17} +(-1.29585 - 0.566365i) q^{18} +(-2.45384 + 0.241682i) q^{19} +(-1.28908 + 2.20234i) q^{20} +(-1.98305 - 1.05996i) q^{21} +(3.47755 - 1.77319i) q^{22} +(4.61128 - 0.917241i) q^{23} +(-1.47573 + 2.41293i) q^{24} +(-0.657844 + 3.30721i) q^{25} +(1.58029 + 0.884395i) q^{26} +(0.995185 + 0.0980171i) q^{27} +(-2.64120 + 3.63978i) q^{28} +(3.05321 + 0.926180i) q^{29} +(0.386192 - 1.76263i) q^{30} +(-1.35822 - 1.35822i) q^{31} +(4.37806 + 3.58226i) q^{32} +(-1.95177 + 1.95177i) q^{33} +(5.13772 + 8.02074i) q^{34} +(0.832827 - 2.74546i) q^{35} +(0.465751 - 1.94501i) q^{36} +(-0.392832 + 3.98849i) q^{37} +(-0.947508 - 3.35585i) q^{38} +(-1.25591 - 0.249817i) q^{39} +(-3.38692 - 1.24612i) q^{40} +(0.0227335 + 0.114289i) q^{41} +(0.981768 - 3.02459i) q^{42} +(0.604945 - 1.13177i) q^{43} +(3.33446 + 4.39960i) q^{44} +(0.125063 + 1.26979i) q^{45} +(2.42521 + 6.19103i) q^{46} +(-3.37897 - 8.15756i) q^{47} +(-3.72657 - 1.45352i) q^{48} +(-0.743939 + 1.79603i) q^{49} +(-4.76783 - 0.0922310i) q^{50} +(-5.20645 - 4.27283i) q^{51} +(-0.837656 + 2.42018i) q^{52} +(-7.45329 + 2.26093i) q^{53} +(0.111371 + 1.40982i) q^{54} +(-2.92831 - 1.95663i) q^{55} +(-5.72472 - 2.77048i) q^{56} +(1.36988 + 2.05016i) q^{57} +(-0.529037 + 4.48106i) q^{58} +(-6.40092 - 7.79954i) q^{59} +(2.54995 + 0.0986918i) q^{60} +(-0.976284 + 0.521835i) q^{61} +(1.55257 - 2.22902i) q^{62} +2.24855i q^{63} +(-3.89670 + 6.98683i) q^{64} -1.63386i q^{65} +(-3.20312 - 2.23105i) q^{66} +(0.00283170 - 0.00151358i) q^{67} +(-9.88640 + 9.14964i) q^{68} +(-2.98268 - 3.63440i) q^{69} +(4.02940 + 0.475714i) q^{70} +(-0.720817 - 1.07878i) q^{71} +(2.82367 + 0.164030i) q^{72} +(5.09139 + 3.40196i) q^{73} +(-5.65026 + 0.446351i) q^{74} +(3.22680 - 0.978839i) q^{75} +(4.43578 - 2.15472i) q^{76} +(-4.79768 - 3.93735i) q^{77} +(0.0350248 - 1.81059i) q^{78} +(-5.69280 + 13.7436i) q^{79} +(0.891329 - 5.02529i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(-0.153442 + 0.0601080i) q^{82} +(-0.758662 - 7.70283i) q^{83} +(4.45506 + 0.613549i) q^{84} +(4.05108 - 7.57904i) q^{85} +(1.72620 + 0.560318i) q^{86} +(-0.622454 - 3.12929i) q^{87} +(-5.29440 + 5.73756i) q^{88} +(16.8111 + 3.34393i) q^{89} +(-1.73655 + 0.490307i) q^{90} +(0.282222 - 2.86545i) q^{91} +(-8.01470 + 4.91788i) q^{92} +(-0.557581 + 1.83810i) q^{93} +(10.5148 - 6.73533i) q^{94} +(-2.22462 + 2.22462i) q^{95} +(1.09547 - 5.54977i) q^{96} +(-1.56493 - 1.56493i) q^{97} +(-2.68554 - 0.588401i) q^{98} +(2.64136 + 0.801248i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{25}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.249021 + 1.39212i 0.176085 + 0.984375i
\(3\) −0.471397 0.881921i −0.272161 0.509177i
\(4\) −1.87598 + 0.693333i −0.937988 + 0.346667i
\(5\) 0.986309 0.809443i 0.441091 0.361994i −0.387480 0.921878i \(-0.626654\pi\)
0.828571 + 0.559884i \(0.189154\pi\)
\(6\) 1.11035 0.875856i 0.453298 0.357567i
\(7\) 1.86960 1.24923i 0.706644 0.472164i −0.149593 0.988748i \(-0.547796\pi\)
0.856237 + 0.516583i \(0.172796\pi\)
\(8\) −1.43236 2.43892i −0.506415 0.862290i
\(9\) −0.555570 + 0.831470i −0.185190 + 0.277157i
\(10\) 1.37245 + 1.17149i 0.434007 + 0.370457i
\(11\) −0.801248 2.64136i −0.241585 0.796400i −0.990949 0.134241i \(-0.957140\pi\)
0.749363 0.662159i \(-0.230360\pi\)
\(12\) 1.49579 + 1.32763i 0.431799 + 0.383253i
\(13\) 0.812353 0.989855i 0.225306 0.274536i −0.648072 0.761579i \(-0.724424\pi\)
0.873378 + 0.487043i \(0.161924\pi\)
\(14\) 2.20464 + 2.29162i 0.589216 + 0.612462i
\(15\) −1.17881 0.488278i −0.304367 0.126073i
\(16\) 3.03858 2.60135i 0.759644 0.650339i
\(17\) 6.22260 2.57749i 1.50920 0.625132i 0.533809 0.845605i \(-0.320760\pi\)
0.975393 + 0.220473i \(0.0707600\pi\)
\(18\) −1.29585 0.566365i −0.305435 0.133493i
\(19\) −2.45384 + 0.241682i −0.562949 + 0.0554457i −0.375490 0.926827i \(-0.622525\pi\)
−0.187460 + 0.982272i \(0.560025\pi\)
\(20\) −1.28908 + 2.20234i −0.288247 + 0.492457i
\(21\) −1.98305 1.05996i −0.432736 0.231302i
\(22\) 3.47755 1.77319i 0.741417 0.378044i
\(23\) 4.61128 0.917241i 0.961519 0.191258i 0.310714 0.950503i \(-0.399432\pi\)
0.650804 + 0.759245i \(0.274432\pi\)
\(24\) −1.47573 + 2.41293i −0.301232 + 0.492537i
\(25\) −0.657844 + 3.30721i −0.131569 + 0.661441i
\(26\) 1.58029 + 0.884395i 0.309920 + 0.173444i
\(27\) 0.995185 + 0.0980171i 0.191523 + 0.0188634i
\(28\) −2.64120 + 3.63978i −0.499140 + 0.687855i
\(29\) 3.05321 + 0.926180i 0.566966 + 0.171987i 0.560738 0.827993i \(-0.310517\pi\)
0.00622825 + 0.999981i \(0.498017\pi\)
\(30\) 0.386192 1.76263i 0.0705086 0.321811i
\(31\) −1.35822 1.35822i −0.243943 0.243943i 0.574536 0.818479i \(-0.305182\pi\)
−0.818479 + 0.574536i \(0.805182\pi\)
\(32\) 4.37806 + 3.58226i 0.773939 + 0.633260i
\(33\) −1.95177 + 1.95177i −0.339759 + 0.339759i
\(34\) 5.13772 + 8.02074i 0.881112 + 1.37555i
\(35\) 0.832827 2.74546i 0.140773 0.464068i
\(36\) 0.465751 1.94501i 0.0776252 0.324169i
\(37\) −0.392832 + 3.98849i −0.0645811 + 0.655703i 0.907340 + 0.420397i \(0.138109\pi\)
−0.971921 + 0.235306i \(0.924391\pi\)
\(38\) −0.947508 3.35585i −0.153706 0.544390i
\(39\) −1.25591 0.249817i −0.201107 0.0400027i
\(40\) −3.38692 1.24612i −0.535519 0.197029i
\(41\) 0.0227335 + 0.114289i 0.00355037 + 0.0178489i 0.982520 0.186158i \(-0.0596036\pi\)
−0.978969 + 0.204007i \(0.934604\pi\)
\(42\) 0.981768 3.02459i 0.151490 0.466704i
\(43\) 0.604945 1.13177i 0.0922532 0.172594i −0.831562 0.555431i \(-0.812553\pi\)
0.923816 + 0.382838i \(0.125053\pi\)
\(44\) 3.33446 + 4.39960i 0.502690 + 0.663264i
\(45\) 0.125063 + 1.26979i 0.0186433 + 0.189289i
\(46\) 2.42521 + 6.19103i 0.357578 + 0.912817i
\(47\) −3.37897 8.15756i −0.492874 1.18990i −0.953251 0.302179i \(-0.902286\pi\)
0.460378 0.887723i \(-0.347714\pi\)
\(48\) −3.72657 1.45352i −0.537883 0.209797i
\(49\) −0.743939 + 1.79603i −0.106277 + 0.256575i
\(50\) −4.76783 0.0922310i −0.674273 0.0130434i
\(51\) −5.20645 4.27283i −0.729049 0.598315i
\(52\) −0.837656 + 2.42018i −0.116162 + 0.335618i
\(53\) −7.45329 + 2.26093i −1.02379 + 0.310563i −0.757155 0.653235i \(-0.773411\pi\)
−0.266633 + 0.963798i \(0.585911\pi\)
\(54\) 0.111371 + 1.40982i 0.0151557 + 0.191852i
\(55\) −2.92831 1.95663i −0.394853 0.263832i
\(56\) −5.72472 2.77048i −0.764998 0.370220i
\(57\) 1.36988 + 2.05016i 0.181445 + 0.271551i
\(58\) −0.529037 + 4.48106i −0.0694660 + 0.588392i
\(59\) −6.40092 7.79954i −0.833328 1.01541i −0.999570 0.0293283i \(-0.990663\pi\)
0.166242 0.986085i \(-0.446837\pi\)
\(60\) 2.54995 + 0.0986918i 0.329198 + 0.0127411i
\(61\) −0.976284 + 0.521835i −0.125000 + 0.0668141i −0.532712 0.846297i \(-0.678827\pi\)
0.407711 + 0.913111i \(0.366327\pi\)
\(62\) 1.55257 2.22902i 0.197177 0.283086i
\(63\) 2.24855i 0.283291i
\(64\) −3.89670 + 6.98683i −0.487087 + 0.873353i
\(65\) 1.63386i 0.202655i
\(66\) −3.20312 2.23105i −0.394276 0.274624i
\(67\) 0.00283170 0.00151358i 0.000345947 0.000184913i −0.471224 0.882014i \(-0.656188\pi\)
0.471570 + 0.881829i \(0.343688\pi\)
\(68\) −9.88640 + 9.14964i −1.19890 + 1.10956i
\(69\) −2.98268 3.63440i −0.359072 0.437531i
\(70\) 4.02940 + 0.475714i 0.481605 + 0.0568587i
\(71\) −0.720817 1.07878i −0.0855452 0.128027i 0.786229 0.617935i \(-0.212031\pi\)
−0.871774 + 0.489908i \(0.837031\pi\)
\(72\) 2.82367 + 0.164030i 0.332772 + 0.0193312i
\(73\) 5.09139 + 3.40196i 0.595902 + 0.398169i 0.816626 0.577167i \(-0.195842\pi\)
−0.220724 + 0.975336i \(0.570842\pi\)
\(74\) −5.65026 + 0.446351i −0.656830 + 0.0518872i
\(75\) 3.22680 0.978839i 0.372599 0.113027i
\(76\) 4.43578 2.15472i 0.508819 0.247163i
\(77\) −4.79768 3.93735i −0.546746 0.448703i
\(78\) 0.0350248 1.81059i 0.00396578 0.205009i
\(79\) −5.69280 + 13.7436i −0.640491 + 1.54628i 0.185529 + 0.982639i \(0.440600\pi\)
−0.826019 + 0.563642i \(0.809400\pi\)
\(80\) 0.891329 5.02529i 0.0996536 0.561845i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) −0.153442 + 0.0601080i −0.0169449 + 0.00663781i
\(83\) −0.758662 7.70283i −0.0832740 0.845495i −0.942568 0.334014i \(-0.891597\pi\)
0.859294 0.511482i \(-0.170903\pi\)
\(84\) 4.45506 + 0.613549i 0.486087 + 0.0669437i
\(85\) 4.05108 7.57904i 0.439401 0.822062i
\(86\) 1.72620 + 0.560318i 0.186141 + 0.0604206i
\(87\) −0.622454 3.12929i −0.0667341 0.335495i
\(88\) −5.29440 + 5.73756i −0.564385 + 0.611626i
\(89\) 16.8111 + 3.34393i 1.78197 + 0.354456i 0.972536 0.232754i \(-0.0747738\pi\)
0.809434 + 0.587210i \(0.199774\pi\)
\(90\) −1.73655 + 0.490307i −0.183048 + 0.0516829i
\(91\) 0.282222 2.86545i 0.0295849 0.300381i
\(92\) −8.01470 + 4.91788i −0.835591 + 0.512724i
\(93\) −0.557581 + 1.83810i −0.0578185 + 0.190602i
\(94\) 10.5148 6.73533i 1.08452 0.694696i
\(95\) −2.22462 + 2.22462i −0.228241 + 0.228241i
\(96\) 1.09547 5.54977i 0.111806 0.566421i
\(97\) −1.56493 1.56493i −0.158895 0.158895i 0.623182 0.782077i \(-0.285840\pi\)
−0.782077 + 0.623182i \(0.785840\pi\)
\(98\) −2.68554 0.588401i −0.271280 0.0594374i
\(99\) 2.64136 + 0.801248i 0.265467 + 0.0805284i
\(100\) −1.05890 6.66035i −0.105890 0.666035i
\(101\) −16.1314 1.58881i −1.60514 0.158092i −0.744610 0.667500i \(-0.767365\pi\)
−0.860525 + 0.509408i \(0.829865\pi\)
\(102\) 4.65175 8.31202i 0.460592 0.823012i
\(103\) −3.61968 + 18.1974i −0.356658 + 1.79304i 0.219403 + 0.975634i \(0.429589\pi\)
−0.576061 + 0.817407i \(0.695411\pi\)
\(104\) −3.57776 0.563439i −0.350828 0.0552498i
\(105\) −2.81387 + 0.559714i −0.274606 + 0.0546225i
\(106\) −5.00351 9.81283i −0.485984 0.953106i
\(107\) 14.6281 + 7.81889i 1.41415 + 0.755880i 0.988814 0.149154i \(-0.0476551\pi\)
0.425338 + 0.905034i \(0.360155\pi\)
\(108\) −1.93490 + 0.506117i −0.186186 + 0.0487011i
\(109\) −3.52115 + 0.346803i −0.337265 + 0.0332177i −0.265232 0.964185i \(-0.585449\pi\)
−0.0720328 + 0.997402i \(0.522949\pi\)
\(110\) 1.99465 4.56379i 0.190182 0.435140i
\(111\) 3.70271 1.53371i 0.351446 0.145574i
\(112\) 2.43125 8.65938i 0.229731 0.818235i
\(113\) 8.97247 + 3.71652i 0.844059 + 0.349621i 0.762453 0.647044i \(-0.223995\pi\)
0.0816065 + 0.996665i \(0.473995\pi\)
\(114\) −2.51294 + 2.41756i −0.235358 + 0.226425i
\(115\) 3.80569 4.63725i 0.354883 0.432426i
\(116\) −6.36990 + 0.379397i −0.591430 + 0.0352262i
\(117\) 0.371715 + 1.22538i 0.0343651 + 0.113286i
\(118\) 9.26390 10.8531i 0.852811 0.999106i
\(119\) 8.41393 12.5923i 0.771304 1.15434i
\(120\) 0.497603 + 3.57441i 0.0454247 + 0.326298i
\(121\) 2.81138 1.87851i 0.255580 0.170773i
\(122\) −0.969570 1.22915i −0.0877808 0.111282i
\(123\) 0.0900772 0.0739245i 0.00812199 0.00666555i
\(124\) 3.48968 + 1.60629i 0.313383 + 0.144249i
\(125\) 5.03551 + 9.42077i 0.450389 + 0.842619i
\(126\) −3.13025 + 0.559938i −0.278865 + 0.0498832i
\(127\) −17.1546 −1.52223 −0.761113 0.648619i \(-0.775347\pi\)
−0.761113 + 0.648619i \(0.775347\pi\)
\(128\) −10.6968 3.68479i −0.945476 0.325692i
\(129\) −1.28330 −0.112988
\(130\) 2.27452 0.406865i 0.199488 0.0356844i
\(131\) 1.77392 + 3.31876i 0.154988 + 0.289962i 0.947417 0.320003i \(-0.103684\pi\)
−0.792429 + 0.609964i \(0.791184\pi\)
\(132\) 2.30824 5.01469i 0.200907 0.436473i
\(133\) −4.28579 + 3.51726i −0.371625 + 0.304985i
\(134\) 0.00281223 + 0.00356514i 0.000242939 + 0.000307981i
\(135\) 1.06090 0.708870i 0.0913076 0.0610098i
\(136\) −15.1993 11.4846i −1.30333 0.984793i
\(137\) −7.55474 + 11.3065i −0.645445 + 0.965977i 0.354081 + 0.935215i \(0.384794\pi\)
−0.999527 + 0.0307625i \(0.990206\pi\)
\(138\) 4.31676 5.05728i 0.367467 0.430504i
\(139\) −2.91350 9.60451i −0.247120 0.814644i −0.989483 0.144647i \(-0.953795\pi\)
0.742364 0.669997i \(-0.233705\pi\)
\(140\) 0.341157 + 5.72785i 0.0288330 + 0.484092i
\(141\) −5.60149 + 6.82543i −0.471730 + 0.574805i
\(142\) 1.32229 1.27210i 0.110964 0.106752i
\(143\) −3.26546 1.35260i −0.273071 0.113110i
\(144\) 0.474804 + 3.97172i 0.0395670 + 0.330977i
\(145\) 3.76109 1.55790i 0.312342 0.129376i
\(146\) −3.46806 + 7.93497i −0.287018 + 0.656702i
\(147\) 1.93465 0.190546i 0.159567 0.0157160i
\(148\) −2.02841 7.75467i −0.166734 0.637430i
\(149\) −10.6657 5.70093i −0.873767 0.467038i −0.0273913 0.999625i \(-0.508720\pi\)
−0.846375 + 0.532587i \(0.821220\pi\)
\(150\) 2.16620 + 4.24833i 0.176870 + 0.346875i
\(151\) 5.49436 1.09290i 0.447125 0.0889386i 0.0336078 0.999435i \(-0.489300\pi\)
0.413517 + 0.910497i \(0.364300\pi\)
\(152\) 4.10422 + 5.63855i 0.332896 + 0.457347i
\(153\) −1.31399 + 6.60588i −0.106230 + 0.534054i
\(154\) 4.28653 7.65942i 0.345419 0.617213i
\(155\) −2.43902 0.240222i −0.195907 0.0192951i
\(156\) 2.52927 0.402117i 0.202504 0.0321951i
\(157\) 5.17234 + 1.56901i 0.412798 + 0.125221i 0.489851 0.871806i \(-0.337051\pi\)
−0.0770533 + 0.997027i \(0.524551\pi\)
\(158\) −20.5504 4.50259i −1.63490 0.358207i
\(159\) 5.50742 + 5.50742i 0.436767 + 0.436767i
\(160\) 7.21775 0.0105715i 0.570613 0.000835753i
\(161\) 7.47543 7.47543i 0.589146 0.589146i
\(162\) 1.19085 0.762806i 0.0935621 0.0599317i
\(163\) −2.44245 + 8.05167i −0.191307 + 0.630656i 0.807841 + 0.589400i \(0.200636\pi\)
−0.999149 + 0.0412556i \(0.986864\pi\)
\(164\) −0.121888 0.198641i −0.00951783 0.0155113i
\(165\) −0.345201 + 3.50489i −0.0268739 + 0.272855i
\(166\) 10.5343 2.97431i 0.817621 0.230852i
\(167\) 7.44052 + 1.48001i 0.575765 + 0.114527i 0.474379 0.880321i \(-0.342673\pi\)
0.101385 + 0.994847i \(0.467673\pi\)
\(168\) 0.255272 + 6.35475i 0.0196947 + 0.490279i
\(169\) 2.21628 + 11.1420i 0.170483 + 0.857076i
\(170\) 11.5597 + 3.75223i 0.886589 + 0.287783i
\(171\) 1.16233 2.17456i 0.0888855 0.166293i
\(172\) −0.350167 + 2.54261i −0.0267000 + 0.193872i
\(173\) 2.10014 + 21.3230i 0.159670 + 1.62116i 0.657202 + 0.753715i \(0.271740\pi\)
−0.497531 + 0.867446i \(0.665760\pi\)
\(174\) 4.20133 1.64579i 0.318502 0.124767i
\(175\) 2.90155 + 7.00496i 0.219337 + 0.529525i
\(176\) −9.30577 5.94165i −0.701449 0.447869i
\(177\) −3.86121 + 9.32178i −0.290226 + 0.700668i
\(178\) −0.468826 + 24.2357i −0.0351400 + 1.81654i
\(179\) 13.7812 + 11.3100i 1.03006 + 0.845346i 0.988106 0.153773i \(-0.0491426\pi\)
0.0419514 + 0.999120i \(0.486643\pi\)
\(180\) −1.11500 2.29538i −0.0831073 0.171088i
\(181\) 21.5295 6.53089i 1.60027 0.485438i 0.640911 0.767615i \(-0.278557\pi\)
0.959362 + 0.282178i \(0.0910567\pi\)
\(182\) 4.05932 0.320672i 0.300897 0.0237698i
\(183\) 0.920434 + 0.615014i 0.0680404 + 0.0454632i
\(184\) −8.84209 9.93275i −0.651848 0.732252i
\(185\) 2.84100 + 4.25185i 0.208874 + 0.312603i
\(186\) −2.69770 0.318492i −0.197805 0.0233530i
\(187\) −11.7939 14.3709i −0.862456 1.05091i
\(188\) 11.9948 + 12.9606i 0.874809 + 0.945252i
\(189\) 1.98305 1.05996i 0.144245 0.0771008i
\(190\) −3.65090 2.54295i −0.264864 0.184485i
\(191\) 13.0547i 0.944602i 0.881437 + 0.472301i \(0.156577\pi\)
−0.881437 + 0.472301i \(0.843423\pi\)
\(192\) 7.99872 + 0.143011i 0.577258 + 0.0103210i
\(193\) 21.4497i 1.54398i −0.635635 0.771990i \(-0.719262\pi\)
0.635635 0.771990i \(-0.280738\pi\)
\(194\) 1.78886 2.56827i 0.128433 0.184391i
\(195\) −1.44093 + 0.770194i −0.103187 + 0.0551548i
\(196\) 0.150367 3.88510i 0.0107405 0.277507i
\(197\) −8.25304 10.0564i −0.588005 0.716486i 0.390984 0.920397i \(-0.372135\pi\)
−0.978989 + 0.203911i \(0.934635\pi\)
\(198\) −0.457675 + 3.87661i −0.0325256 + 0.275499i
\(199\) 11.8422 + 17.7231i 0.839470 + 1.25636i 0.964468 + 0.264198i \(0.0851073\pi\)
−0.124999 + 0.992157i \(0.539893\pi\)
\(200\) 9.00829 3.13267i 0.636982 0.221514i
\(201\) −0.00266971 0.00178384i −0.000188307 0.000125823i
\(202\) −1.80526 22.8525i −0.127018 1.60789i
\(203\) 6.86530 2.08257i 0.481850 0.146167i
\(204\) 12.7297 + 4.40592i 0.891256 + 0.308476i
\(205\) 0.114932 + 0.0943226i 0.00802723 + 0.00658778i
\(206\) −26.2342 0.507487i −1.82783 0.0353583i
\(207\) −1.79923 + 4.34373i −0.125055 + 0.301910i
\(208\) −0.106566 5.12097i −0.00738901 0.355075i
\(209\) 2.60450 + 6.28783i 0.180157 + 0.434938i
\(210\) −1.47990 3.77786i −0.102123 0.260697i
\(211\) 0.140811 + 1.42968i 0.00969384 + 0.0984232i 0.998814 0.0486856i \(-0.0155032\pi\)
−0.989120 + 0.147109i \(0.953003\pi\)
\(212\) 12.4146 9.40907i 0.852640 0.646217i
\(213\) −0.611607 + 1.14424i −0.0419066 + 0.0784018i
\(214\) −7.24209 + 22.3111i −0.495059 + 1.52516i
\(215\) −0.319442 1.60594i −0.0217858 0.109524i
\(216\) −1.18641 2.56758i −0.0807247 0.174701i
\(217\) −4.23605 0.842603i −0.287562 0.0571996i
\(218\) −1.35963 4.81549i −0.0920859 0.326146i
\(219\) 0.600194 6.09388i 0.0405574 0.411786i
\(220\) 6.85003 + 1.64030i 0.461829 + 0.110589i
\(221\) 2.50361 8.25330i 0.168411 0.555177i
\(222\) 3.05716 + 4.77268i 0.205183 + 0.320321i
\(223\) −8.41540 + 8.41540i −0.563537 + 0.563537i −0.930310 0.366773i \(-0.880462\pi\)
0.366773 + 0.930310i \(0.380462\pi\)
\(224\) 12.6603 + 1.22821i 0.845902 + 0.0820633i
\(225\) −2.38436 2.38436i −0.158958 0.158958i
\(226\) −2.93949 + 13.4162i −0.195532 + 0.892434i
\(227\) 3.47304 + 1.05354i 0.230514 + 0.0699257i 0.403428 0.915011i \(-0.367818\pi\)
−0.172914 + 0.984937i \(0.555318\pi\)
\(228\) −3.99130 2.89628i −0.264331 0.191811i
\(229\) −2.66759 0.262735i −0.176280 0.0173620i 0.00949219 0.999955i \(-0.496978\pi\)
−0.185772 + 0.982593i \(0.559478\pi\)
\(230\) 7.40329 + 4.14319i 0.488159 + 0.273194i
\(231\) −1.21083 + 6.08723i −0.0796665 + 0.400511i
\(232\) −2.11441 8.77316i −0.138818 0.575986i
\(233\) 10.0626 2.00157i 0.659221 0.131127i 0.145867 0.989304i \(-0.453403\pi\)
0.513354 + 0.858177i \(0.328403\pi\)
\(234\) −1.61331 + 0.822617i −0.105465 + 0.0537761i
\(235\) −9.93578 5.31079i −0.648139 0.346438i
\(236\) 17.4156 + 10.1938i 1.13366 + 0.663559i
\(237\) 14.8044 1.45810i 0.961648 0.0947141i
\(238\) 19.6252 + 8.57741i 1.27212 + 0.555991i
\(239\) −1.32076 + 0.547078i −0.0854331 + 0.0353876i −0.424991 0.905198i \(-0.639723\pi\)
0.339558 + 0.940585i \(0.389723\pi\)
\(240\) −4.85208 + 1.58282i −0.313201 + 0.102171i
\(241\) 19.9851 + 8.27810i 1.28735 + 0.533239i 0.918196 0.396127i \(-0.129646\pi\)
0.369158 + 0.929367i \(0.379646\pi\)
\(242\) 3.31519 + 3.44598i 0.213109 + 0.221516i
\(243\) −0.634393 + 0.773010i −0.0406963 + 0.0495886i
\(244\) 1.46968 1.65584i 0.0940867 0.106004i
\(245\) 0.720028 + 2.37361i 0.0460009 + 0.151645i
\(246\) 0.125343 + 0.106989i 0.00799155 + 0.00682138i
\(247\) −1.75415 + 2.62528i −0.111614 + 0.167042i
\(248\) −1.36713 + 5.25804i −0.0868130 + 0.333886i
\(249\) −6.43566 + 4.30017i −0.407843 + 0.272512i
\(250\) −11.8609 + 9.35598i −0.750147 + 0.591724i
\(251\) 9.60495 7.88258i 0.606259 0.497544i −0.280452 0.959868i \(-0.590484\pi\)
0.886711 + 0.462324i \(0.152984\pi\)
\(252\) −1.55900 4.21823i −0.0982076 0.265724i
\(253\) −6.11754 11.4451i −0.384607 0.719548i
\(254\) −4.27187 23.8812i −0.268041 1.49844i
\(255\) −8.59378 −0.538163
\(256\) 2.46591 15.8088i 0.154119 0.988052i
\(257\) −24.5600 −1.53201 −0.766005 0.642835i \(-0.777758\pi\)
−0.766005 + 0.642835i \(0.777758\pi\)
\(258\) −0.319570 1.78651i −0.0198955 0.111223i
\(259\) 4.24810 + 7.94763i 0.263964 + 0.493842i
\(260\) 1.13281 + 3.06508i 0.0702537 + 0.190088i
\(261\) −2.46636 + 2.02409i −0.152664 + 0.125288i
\(262\) −4.17836 + 3.29594i −0.258140 + 0.203624i
\(263\) −0.816294 + 0.545430i −0.0503349 + 0.0336327i −0.580483 0.814272i \(-0.697136\pi\)
0.530148 + 0.847905i \(0.322136\pi\)
\(264\) 7.55584 + 1.96458i 0.465030 + 0.120911i
\(265\) −5.52115 + 8.26299i −0.339162 + 0.507591i
\(266\) −5.96369 5.09045i −0.365657 0.312115i
\(267\) −4.97560 16.4024i −0.304502 1.00381i
\(268\) −0.00426279 + 0.00480274i −0.000260391 + 0.000293374i
\(269\) −0.558577 + 0.680629i −0.0340571 + 0.0414987i −0.789760 0.613415i \(-0.789795\pi\)
0.755703 + 0.654914i \(0.227295\pi\)
\(270\) 1.25102 + 1.30037i 0.0761344 + 0.0791380i
\(271\) −3.57822 1.48215i −0.217362 0.0900341i 0.271346 0.962482i \(-0.412531\pi\)
−0.488707 + 0.872448i \(0.662531\pi\)
\(272\) 12.2029 24.0191i 0.739910 1.45637i
\(273\) −2.66014 + 1.10187i −0.160999 + 0.0666880i
\(274\) −17.6212 7.70153i −1.06454 0.465266i
\(275\) 9.26262 0.912288i 0.558557 0.0550130i
\(276\) 8.11529 + 4.75007i 0.488483 + 0.285920i
\(277\) −17.5457 9.37836i −1.05422 0.563491i −0.149174 0.988811i \(-0.547662\pi\)
−0.905043 + 0.425320i \(0.860162\pi\)
\(278\) 12.6451 6.44766i 0.758401 0.386705i
\(279\) 1.88390 0.374731i 0.112786 0.0224346i
\(280\) −7.88888 + 1.90129i −0.471451 + 0.113624i
\(281\) 4.17763 21.0024i 0.249217 1.25290i −0.630046 0.776558i \(-0.716964\pi\)
0.879262 0.476338i \(-0.158036\pi\)
\(282\) −10.8967 6.09825i −0.648888 0.363145i
\(283\) −22.4889 2.21496i −1.33683 0.131666i −0.595795 0.803137i \(-0.703163\pi\)
−0.741031 + 0.671471i \(0.765663\pi\)
\(284\) 2.10019 + 1.52400i 0.124623 + 0.0904326i
\(285\) 3.01061 + 0.913259i 0.178333 + 0.0540968i
\(286\) 1.06980 4.88273i 0.0632589 0.288722i
\(287\) 0.185275 + 0.185275i 0.0109365 + 0.0109365i
\(288\) −5.41086 + 1.65002i −0.318838 + 0.0972287i
\(289\) 20.0565 20.0565i 1.17980 1.17980i
\(290\) 3.10537 + 4.84793i 0.182353 + 0.284680i
\(291\) −0.642442 + 2.11785i −0.0376606 + 0.124150i
\(292\) −11.9100 2.85196i −0.696981 0.166899i
\(293\) 1.04529 10.6130i 0.0610663 0.620016i −0.915135 0.403148i \(-0.867916\pi\)
0.976201 0.216868i \(-0.0695841\pi\)
\(294\) 0.747030 + 2.64580i 0.0435677 + 0.154306i
\(295\) −12.6266 2.51158i −0.735147 0.146230i
\(296\) 10.2903 4.75486i 0.598111 0.276371i
\(297\) −0.538491 2.70718i −0.0312464 0.157086i
\(298\) 5.28037 16.2675i 0.305884 0.942352i
\(299\) 2.83805 5.30962i 0.164129 0.307063i
\(300\) −5.37474 + 4.07353i −0.310311 + 0.235185i
\(301\) −0.282836 2.87168i −0.0163024 0.165521i
\(302\) 2.88965 + 7.37663i 0.166281 + 0.424477i
\(303\) 6.20309 + 14.9756i 0.356358 + 0.860325i
\(304\) −6.82748 + 7.11767i −0.391583 + 0.408227i
\(305\) −0.540522 + 1.30494i −0.0309502 + 0.0747204i
\(306\) −9.52336 0.184224i −0.544415 0.0105314i
\(307\) 24.0406 + 19.7296i 1.37207 + 1.12603i 0.978387 + 0.206780i \(0.0662985\pi\)
0.393681 + 0.919247i \(0.371202\pi\)
\(308\) 11.7302 + 4.05999i 0.668392 + 0.231340i
\(309\) 17.7550 5.38591i 1.01004 0.306394i
\(310\) −0.272950 3.45522i −0.0155025 0.196243i
\(311\) −11.7221 7.83245i −0.664699 0.444137i 0.176909 0.984227i \(-0.443390\pi\)
−0.841607 + 0.540090i \(0.818390\pi\)
\(312\) 1.18964 + 3.42091i 0.0673499 + 0.193671i
\(313\) −16.4046 24.5513i −0.927245 1.38772i −0.921771 0.387735i \(-0.873257\pi\)
−0.00547421 0.999985i \(-0.501743\pi\)
\(314\) −0.896225 + 7.59122i −0.0505769 + 0.428397i
\(315\) 1.82008 + 2.21777i 0.102550 + 0.124957i
\(316\) 1.15064 29.7298i 0.0647287 1.67243i
\(317\) −5.68241 + 3.03731i −0.319156 + 0.170592i −0.623194 0.782068i \(-0.714165\pi\)
0.304038 + 0.952660i \(0.401665\pi\)
\(318\) −6.29551 + 9.03843i −0.353034 + 0.506850i
\(319\) 8.80672i 0.493082i
\(320\) 1.81209 + 10.0453i 0.101299 + 0.561550i
\(321\) 16.5866i 0.925776i
\(322\) 12.2682 + 8.54512i 0.683680 + 0.476201i
\(323\) −14.6463 + 7.82863i −0.814944 + 0.435596i
\(324\) 1.35846 + 1.46785i 0.0754701 + 0.0815472i
\(325\) 2.73925 + 3.33779i 0.151946 + 0.185147i
\(326\) −11.8171 1.39513i −0.654488 0.0772693i
\(327\) 1.96571 + 2.94190i 0.108704 + 0.162687i
\(328\) 0.246179 0.219148i 0.0135930 0.0121004i
\(329\) −16.5080 11.0303i −0.910116 0.608120i
\(330\) −4.96517 + 0.392231i −0.273324 + 0.0215916i
\(331\) 9.44077 2.86383i 0.518912 0.157410i −0.0199555 0.999801i \(-0.506352\pi\)
0.538867 + 0.842391i \(0.318852\pi\)
\(332\) 6.76386 + 13.9243i 0.371215 + 0.764196i
\(333\) −3.09806 2.54251i −0.169773 0.139329i
\(334\) −0.207501 + 10.7266i −0.0113539 + 0.586935i
\(335\) 0.00156778 0.00378495i 8.56569e−5 0.000206794i
\(336\) −8.78298 + 1.93784i −0.479151 + 0.105718i
\(337\) −6.83864 16.5099i −0.372525 0.899354i −0.993321 0.115382i \(-0.963191\pi\)
0.620797 0.783972i \(-0.286809\pi\)
\(338\) −14.9590 + 5.85991i −0.813665 + 0.318737i
\(339\) −0.951916 9.66497i −0.0517010 0.524929i
\(340\) −2.34493 + 17.0268i −0.127172 + 0.923410i
\(341\) −2.49927 + 4.67581i −0.135343 + 0.253209i
\(342\) 3.31669 + 1.07658i 0.179346 + 0.0582150i
\(343\) 3.92348 + 19.7246i 0.211848 + 1.06503i
\(344\) −3.62680 + 0.145690i −0.195544 + 0.00785506i
\(345\) −5.88368 1.17034i −0.316767 0.0630088i
\(346\) −29.1612 + 8.23353i −1.56771 + 0.442637i
\(347\) −2.74446 + 27.8650i −0.147330 + 1.49587i 0.582830 + 0.812594i \(0.301946\pi\)
−0.730160 + 0.683276i \(0.760554\pi\)
\(348\) 3.33735 + 5.43890i 0.178901 + 0.291556i
\(349\) 10.2316 33.7292i 0.547686 1.80548i −0.0436390 0.999047i \(-0.513895\pi\)
0.591325 0.806433i \(-0.298605\pi\)
\(350\) −9.02918 + 5.78368i −0.482630 + 0.309151i
\(351\) 0.905464 0.905464i 0.0483301 0.0483301i
\(352\) 5.95413 14.4343i 0.317356 0.769351i
\(353\) 11.2166 + 11.2166i 0.597001 + 0.597001i 0.939513 0.342513i \(-0.111278\pi\)
−0.342513 + 0.939513i \(0.611278\pi\)
\(354\) −13.9385 3.05393i −0.740824 0.162315i
\(355\) −1.58416 0.480549i −0.0840783 0.0255049i
\(356\) −33.8556 + 5.38254i −1.79435 + 0.285274i
\(357\) −15.0717 1.48444i −0.797681 0.0785648i
\(358\) −12.3130 + 22.0015i −0.650761 + 1.16282i
\(359\) 1.69377 8.51518i 0.0893940 0.449414i −0.910000 0.414608i \(-0.863919\pi\)
0.999394 0.0348060i \(-0.0110813\pi\)
\(360\) 2.91778 2.12381i 0.153781 0.111935i
\(361\) −12.6720 + 2.52062i −0.666948 + 0.132664i
\(362\) 14.4531 + 28.3452i 0.759636 + 1.48979i
\(363\) −2.98197 1.59390i −0.156513 0.0836579i
\(364\) 1.45727 + 5.57120i 0.0763817 + 0.292010i
\(365\) 7.77537 0.765807i 0.406981 0.0400842i
\(366\) −0.626964 + 1.43450i −0.0327719 + 0.0749827i
\(367\) 13.7456 5.69362i 0.717515 0.297205i 0.00610480 0.999981i \(-0.498057\pi\)
0.711410 + 0.702777i \(0.248057\pi\)
\(368\) 11.6257 14.7827i 0.606030 0.770601i
\(369\) −0.107658 0.0445933i −0.00560443 0.00232143i
\(370\) −5.21161 + 5.01380i −0.270939 + 0.260655i
\(371\) −11.1103 + 13.5379i −0.576817 + 0.702854i
\(372\) −0.228406 3.83482i −0.0118423 0.198826i
\(373\) 3.11515 + 10.2693i 0.161296 + 0.531722i 0.999916 0.0129956i \(-0.00413674\pi\)
−0.838619 + 0.544718i \(0.816637\pi\)
\(374\) 17.0691 19.9972i 0.882620 1.03403i
\(375\) 5.93466 8.88184i 0.306464 0.458656i
\(376\) −15.0558 + 19.9256i −0.776442 + 1.02758i
\(377\) 3.39707 2.26985i 0.174958 0.116903i
\(378\) 1.96941 + 2.49668i 0.101296 + 0.128415i
\(379\) −14.1953 + 11.6498i −0.729163 + 0.598409i −0.923984 0.382430i \(-0.875087\pi\)
0.194821 + 0.980839i \(0.437587\pi\)
\(380\) 2.63093 5.71573i 0.134964 0.293211i
\(381\) 8.08663 + 15.1290i 0.414291 + 0.775084i
\(382\) −18.1736 + 3.25089i −0.929843 + 0.166330i
\(383\) −18.9651 −0.969069 −0.484535 0.874772i \(-0.661011\pi\)
−0.484535 + 0.874772i \(0.661011\pi\)
\(384\) 1.79276 + 11.1708i 0.0914866 + 0.570056i
\(385\) −7.91906 −0.403593
\(386\) 29.8604 5.34142i 1.51986 0.271871i
\(387\) 0.604945 + 1.13177i 0.0307511 + 0.0575312i
\(388\) 4.02079 + 1.85075i 0.204125 + 0.0939578i
\(389\) −12.1899 + 10.0040i −0.618055 + 0.507225i −0.890522 0.454941i \(-0.849660\pi\)
0.272467 + 0.962165i \(0.412160\pi\)
\(390\) −1.43102 1.81415i −0.0724627 0.0918631i
\(391\) 26.3300 17.5931i 1.33157 0.889723i
\(392\) 5.44596 0.758146i 0.275063 0.0382921i
\(393\) 2.09067 3.12891i 0.105460 0.157832i
\(394\) 11.9444 13.9934i 0.601752 0.704980i
\(395\) 5.50983 + 18.1635i 0.277230 + 0.913904i
\(396\) −5.51066 + 0.328221i −0.276921 + 0.0164937i
\(397\) −12.0542 + 14.6881i −0.604984 + 0.737175i −0.981969 0.189044i \(-0.939461\pi\)
0.376984 + 0.926220i \(0.376961\pi\)
\(398\) −21.7236 + 20.8991i −1.08891 + 1.04758i
\(399\) 5.12225 + 2.12171i 0.256433 + 0.106218i
\(400\) 6.60430 + 11.7605i 0.330215 + 0.588024i
\(401\) 21.4834 8.89872i 1.07283 0.444381i 0.224841 0.974395i \(-0.427814\pi\)
0.847988 + 0.530015i \(0.177814\pi\)
\(402\) 0.00181850 0.00416076i 9.06986e−5 0.000207520i
\(403\) −2.44779 + 0.241086i −0.121933 + 0.0120094i
\(404\) 31.3637 8.20388i 1.56040 0.408158i
\(405\) −1.12527 0.601470i −0.0559152 0.0298873i
\(406\) 4.60878 + 9.03869i 0.228730 + 0.448583i
\(407\) 10.8498 2.15816i 0.537804 0.106976i
\(408\) −2.96359 + 18.8184i −0.146719 + 0.931648i
\(409\) −5.24015 + 26.3440i −0.259109 + 1.30263i 0.603747 + 0.797176i \(0.293674\pi\)
−0.862856 + 0.505451i \(0.831326\pi\)
\(410\) −0.102687 + 0.183488i −0.00507137 + 0.00906181i
\(411\) 13.5327 + 1.33285i 0.667519 + 0.0657449i
\(412\) −5.82641 36.6475i −0.287046 1.80549i
\(413\) −21.7106 6.58584i −1.06831 0.324068i
\(414\) −6.49503 1.42306i −0.319213 0.0699396i
\(415\) −6.98327 6.98327i −0.342795 0.342795i
\(416\) 7.10245 1.42358i 0.348226 0.0697969i
\(417\) −7.09701 + 7.09701i −0.347542 + 0.347542i
\(418\) −8.10481 + 5.19157i −0.396419 + 0.253928i
\(419\) −5.06782 + 16.7064i −0.247579 + 0.816160i 0.741777 + 0.670647i \(0.233983\pi\)
−0.989356 + 0.145513i \(0.953517\pi\)
\(420\) 4.89069 3.00096i 0.238641 0.146432i
\(421\) 1.63549 16.6054i 0.0797089 0.809298i −0.869349 0.494198i \(-0.835462\pi\)
0.949058 0.315100i \(-0.102038\pi\)
\(422\) −1.95522 + 0.552046i −0.0951784 + 0.0268732i
\(423\) 8.66002 + 1.72258i 0.421064 + 0.0837549i
\(424\) 16.1900 + 14.9395i 0.786257 + 0.725528i
\(425\) 4.43077 + 22.2750i 0.214924 + 1.08050i
\(426\) −1.74521 0.566489i −0.0845559 0.0274465i
\(427\) −1.17337 + 2.19523i −0.0567835 + 0.106234i
\(428\) −32.8631 4.52589i −1.58850 0.218767i
\(429\) 0.346442 + 3.51749i 0.0167264 + 0.169826i
\(430\) 2.15611 0.844615i 0.103977 0.0407309i
\(431\) −8.44778 20.3947i −0.406915 0.982380i −0.985944 0.167073i \(-0.946568\pi\)
0.579029 0.815307i \(-0.303432\pi\)
\(432\) 3.27892 2.29100i 0.157757 0.110226i
\(433\) 4.72889 11.4165i 0.227256 0.548644i −0.768586 0.639747i \(-0.779039\pi\)
0.995841 + 0.0911029i \(0.0290392\pi\)
\(434\) 0.118135 6.10690i 0.00567064 0.293141i
\(435\) −3.14691 2.58260i −0.150883 0.123826i
\(436\) 6.36515 3.09193i 0.304835 0.148076i
\(437\) −11.0937 + 3.36523i −0.530682 + 0.160981i
\(438\) 8.63285 0.681964i 0.412493 0.0325855i
\(439\) −13.0272 8.70453i −0.621756 0.415444i 0.204398 0.978888i \(-0.434476\pi\)
−0.826155 + 0.563443i \(0.809476\pi\)
\(440\) −0.577690 + 9.94452i −0.0275403 + 0.474086i
\(441\) −1.08003 1.61638i −0.0514301 0.0769706i
\(442\) 12.1130 + 1.43007i 0.576157 + 0.0680216i
\(443\) −26.4887 32.2765i −1.25851 1.53350i −0.727421 0.686191i \(-0.759281\pi\)
−0.531094 0.847313i \(-0.678219\pi\)
\(444\) −5.88283 + 5.44442i −0.279187 + 0.258381i
\(445\) 19.2876 10.3095i 0.914321 0.488715i
\(446\) −13.8108 9.61961i −0.653962 0.455502i
\(447\) 12.0937i 0.572012i
\(448\) 1.44287 + 17.9305i 0.0681693 + 0.847135i
\(449\) 10.8470i 0.511902i −0.966690 0.255951i \(-0.917611\pi\)
0.966690 0.255951i \(-0.0823886\pi\)
\(450\) 2.72555 3.91307i 0.128484 0.184464i
\(451\) 0.283663 0.151621i 0.0133572 0.00713955i
\(452\) −19.4089 0.751191i −0.912920 0.0353331i
\(453\) −3.55387 4.33040i −0.166975 0.203460i
\(454\) −0.601783 + 5.09723i −0.0282431 + 0.239225i
\(455\) −2.04106 3.05466i −0.0956864 0.143205i
\(456\) 3.03804 6.27760i 0.142269 0.293975i
\(457\) −26.3326 17.5949i −1.23179 0.823053i −0.242658 0.970112i \(-0.578019\pi\)
−0.989128 + 0.147059i \(0.953019\pi\)
\(458\) −0.298530 3.77903i −0.0139494 0.176582i
\(459\) 6.44528 1.95515i 0.300840 0.0912587i
\(460\) −3.92423 + 11.3380i −0.182968 + 0.528636i
\(461\) 1.55470 + 1.27591i 0.0724094 + 0.0594249i 0.669902 0.742450i \(-0.266336\pi\)
−0.597492 + 0.801875i \(0.703836\pi\)
\(462\) −8.77566 0.169760i −0.408281 0.00789796i
\(463\) 10.6673 25.7531i 0.495752 1.19685i −0.456000 0.889980i \(-0.650718\pi\)
0.951751 0.306870i \(-0.0992818\pi\)
\(464\) 11.6867 5.12820i 0.542543 0.238071i
\(465\) 0.937889 + 2.26426i 0.0434935 + 0.105003i
\(466\) 5.29222 + 13.5098i 0.245157 + 0.625831i
\(467\) 0.413784 + 4.20122i 0.0191477 + 0.194409i 1.00000 0.000343720i \(-0.000109410\pi\)
−0.980852 + 0.194753i \(0.937609\pi\)
\(468\) −1.54693 2.04106i −0.0715067 0.0943482i
\(469\) 0.00340335 0.00636723i 0.000157152 0.000294011i
\(470\) 4.91901 15.1543i 0.226897 0.699014i
\(471\) −1.05448 5.30123i −0.0485878 0.244268i
\(472\) −9.85407 + 26.7831i −0.453570 + 1.23279i
\(473\) −3.47413 0.691047i −0.159741 0.0317744i
\(474\) 5.71646 + 20.2463i 0.262566 + 0.929945i
\(475\) 0.814951 8.27434i 0.0373925 0.379653i
\(476\) −7.05365 + 29.4566i −0.323304 + 1.35014i
\(477\) 2.26093 7.45329i 0.103521 0.341263i
\(478\) −1.09050 1.70242i −0.0498781 0.0778670i
\(479\) −3.47279 + 3.47279i −0.158676 + 0.158676i −0.781980 0.623304i \(-0.785790\pi\)
0.623304 + 0.781980i \(0.285790\pi\)
\(480\) −3.41175 6.36051i −0.155724 0.290316i
\(481\) 3.62891 + 3.62891i 0.165464 + 0.165464i
\(482\) −6.54736 + 29.8830i −0.298224 + 1.36113i
\(483\) −10.1166 3.06885i −0.460323 0.139637i
\(484\) −3.97166 + 5.47326i −0.180530 + 0.248784i
\(485\) −2.81023 0.276783i −0.127606 0.0125681i
\(486\) −1.23410 0.690653i −0.0559798 0.0313287i
\(487\) −2.77834 + 13.9677i −0.125899 + 0.632936i 0.865376 + 0.501123i \(0.167080\pi\)
−0.991275 + 0.131813i \(0.957920\pi\)
\(488\) 2.67110 + 1.63363i 0.120915 + 0.0739508i
\(489\) 8.25230 1.64148i 0.373182 0.0742305i
\(490\) −3.12504 + 1.59344i −0.141175 + 0.0719844i
\(491\) 7.33481 + 3.92054i 0.331015 + 0.176931i 0.628529 0.777786i \(-0.283657\pi\)
−0.297514 + 0.954718i \(0.596157\pi\)
\(492\) −0.117728 + 0.201134i −0.00530761 + 0.00906783i
\(493\) 21.3861 2.10635i 0.963182 0.0948651i
\(494\) −4.09151 1.78824i −0.184086 0.0804566i
\(495\) 3.25376 1.34775i 0.146246 0.0605769i
\(496\) −7.66025 0.593844i −0.343955 0.0266644i
\(497\) −2.69528 1.11642i −0.120900 0.0500784i
\(498\) −7.58895 7.88835i −0.340069 0.353485i
\(499\) 9.48985 11.5634i 0.424824 0.517650i −0.515980 0.856601i \(-0.672572\pi\)
0.940804 + 0.338951i \(0.110072\pi\)
\(500\) −15.9782 14.1819i −0.714568 0.634232i
\(501\) −2.20218 7.25963i −0.0983863 0.324336i
\(502\) 13.3653 + 11.4083i 0.596523 + 0.509176i
\(503\) 5.41410 8.10277i 0.241403 0.361285i −0.690908 0.722942i \(-0.742789\pi\)
0.932311 + 0.361658i \(0.117789\pi\)
\(504\) 5.48405 3.22074i 0.244279 0.143463i
\(505\) −17.1966 + 11.4904i −0.765239 + 0.511316i
\(506\) 14.4095 11.3664i 0.640582 0.505299i
\(507\) 8.78161 7.20688i 0.390005 0.320069i
\(508\) 32.1817 11.8939i 1.42783 0.527705i
\(509\) −10.0711 18.8417i −0.446394 0.835144i −0.999997 0.00236340i \(-0.999248\pi\)
0.553604 0.832780i \(-0.313252\pi\)
\(510\) −2.14003 11.9635i −0.0947623 0.529754i
\(511\) 13.7687 0.609092
\(512\) 22.6218 0.503901i 0.999752 0.0222695i
\(513\) −2.46571 −0.108864
\(514\) −6.11596 34.1904i −0.269763 1.50807i
\(515\) 11.1596 + 20.8782i 0.491751 + 0.920002i
\(516\) 2.40745 0.889756i 0.105982 0.0391693i
\(517\) −18.8397 + 15.4613i −0.828567 + 0.679987i
\(518\) −10.0062 + 7.89297i −0.439645 + 0.346797i
\(519\) 17.8152 11.9038i 0.782002 0.522517i
\(520\) −3.98485 + 2.34027i −0.174747 + 0.102628i
\(521\) 9.43394 14.1189i 0.413308 0.618560i −0.565154 0.824986i \(-0.691183\pi\)
0.978462 + 0.206426i \(0.0661832\pi\)
\(522\) −3.43195 2.92942i −0.150212 0.128217i
\(523\) 13.0903 + 43.1528i 0.572397 + 1.88694i 0.446197 + 0.894935i \(0.352778\pi\)
0.126200 + 0.992005i \(0.459722\pi\)
\(524\) −5.62883 4.99601i −0.245897 0.218252i
\(525\) 4.81004 5.86106i 0.209928 0.255797i
\(526\) −0.962577 1.00055i −0.0419704 0.0436262i
\(527\) −11.9524 4.95086i −0.520656 0.215663i
\(528\) −0.853358 + 11.0078i −0.0371376 + 0.479054i
\(529\) −0.826639 + 0.342405i −0.0359408 + 0.0148872i
\(530\) −12.8779 5.62843i −0.559381 0.244483i
\(531\) 10.0412 0.988976i 0.435753 0.0429179i
\(532\) 5.60141 9.56978i 0.242852 0.414902i
\(533\) 0.131597 + 0.0703400i 0.00570010 + 0.00304676i
\(534\) 21.5950 11.0112i 0.934505 0.476499i
\(535\) 20.7568 4.12878i 0.897393 0.178503i
\(536\) −0.00774750 0.00473832i −0.000334641 0.000204664i
\(537\) 3.47807 17.4854i 0.150090 0.754552i
\(538\) −1.08661 0.608114i −0.0468472 0.0262177i
\(539\) 5.34004 + 0.525948i 0.230012 + 0.0226542i
\(540\) −1.49874 + 2.06538i −0.0644954 + 0.0888798i
\(541\) 11.6592 + 3.53678i 0.501268 + 0.152058i 0.530785 0.847506i \(-0.321897\pi\)
−0.0295176 + 0.999564i \(0.509397\pi\)
\(542\) 1.17227 5.35039i 0.0503533 0.229819i
\(543\) −15.9087 15.9087i −0.682706 0.682706i
\(544\) 36.4761 + 11.0066i 1.56390 + 0.471904i
\(545\) −3.19222 + 3.19222i −0.136740 + 0.136740i
\(546\) −2.19636 3.42884i −0.0939955 0.146741i
\(547\) 3.53795 11.6630i 0.151272 0.498676i −0.848250 0.529596i \(-0.822344\pi\)
0.999522 + 0.0309198i \(0.00984365\pi\)
\(548\) 6.33337 26.4486i 0.270548 1.12983i
\(549\) 0.108505 1.10167i 0.00463087 0.0470180i
\(550\) 3.57660 + 12.6675i 0.152507 + 0.540142i
\(551\) −7.71592 1.53479i −0.328709 0.0653843i
\(552\) −4.59177 + 12.4803i −0.195439 + 0.531197i
\(553\) 6.52568 + 32.8068i 0.277500 + 1.39509i
\(554\) 8.68652 26.7610i 0.369055 1.13697i
\(555\) 2.41056 4.50985i 0.102323 0.191432i
\(556\) 12.1248 + 15.9978i 0.514205 + 0.678459i
\(557\) 2.75325 + 27.9543i 0.116659 + 1.18446i 0.858115 + 0.513458i \(0.171636\pi\)
−0.741456 + 0.671002i \(0.765864\pi\)
\(558\) 0.990801 + 2.52929i 0.0419439 + 0.107074i
\(559\) −0.628861 1.51821i −0.0265980 0.0642132i
\(560\) −4.61131 10.5088i −0.194864 0.444077i
\(561\) −7.11441 + 17.1757i −0.300371 + 0.725159i
\(562\) 30.2781 + 0.585712i 1.27720 + 0.0247068i
\(563\) 13.7941 + 11.3205i 0.581352 + 0.477103i 0.878509 0.477725i \(-0.158539\pi\)
−0.297157 + 0.954828i \(0.596039\pi\)
\(564\) 5.77596 16.6881i 0.243212 0.702694i
\(565\) 11.8579 3.59707i 0.498867 0.151330i
\(566\) −2.51673 31.8587i −0.105786 1.33912i
\(567\) −1.86960 1.24923i −0.0785160 0.0524627i
\(568\) −1.59859 + 3.30321i −0.0670753 + 0.138600i
\(569\) 1.15660 + 1.73097i 0.0484870 + 0.0725659i 0.854921 0.518758i \(-0.173605\pi\)
−0.806434 + 0.591324i \(0.798605\pi\)
\(570\) −0.521657 + 4.41854i −0.0218498 + 0.185072i
\(571\) −16.5810 20.2040i −0.693893 0.845511i 0.300218 0.953870i \(-0.402940\pi\)
−0.994112 + 0.108359i \(0.965440\pi\)
\(572\) 7.06373 + 0.273390i 0.295349 + 0.0114310i
\(573\) 11.5132 6.15393i 0.480970 0.257084i
\(574\) −0.211788 + 0.304063i −0.00883984 + 0.0126913i
\(575\) 15.8539i 0.661152i
\(576\) −3.64445 7.12166i −0.151852 0.296736i
\(577\) 20.1418i 0.838515i −0.907867 0.419257i \(-0.862291\pi\)
0.907867 0.419257i \(-0.137709\pi\)
\(578\) 32.9155 + 22.9265i 1.36911 + 0.953617i
\(579\) −18.9169 + 10.1113i −0.786160 + 0.420211i
\(580\) −5.97558 + 5.53027i −0.248123 + 0.229632i
\(581\) −11.0410 13.4535i −0.458058 0.558145i
\(582\) −3.10827 0.366965i −0.128842 0.0152112i
\(583\) 11.9439 + 17.8753i 0.494664 + 0.740317i
\(584\) 1.00442 17.2903i 0.0415631 0.715479i
\(585\) 1.35850 + 0.907722i 0.0561671 + 0.0375297i
\(586\) 15.0348 1.18769i 0.621081 0.0490632i
\(587\) 20.0027 6.06777i 0.825602 0.250443i 0.150914 0.988547i \(-0.451778\pi\)
0.674688 + 0.738103i \(0.264278\pi\)
\(588\) −3.49724 + 1.69881i −0.144224 + 0.0700579i
\(589\) 3.66110 + 3.00459i 0.150853 + 0.123802i
\(590\) 0.352128 18.2031i 0.0144969 0.749409i
\(591\) −4.97846 + 12.0191i −0.204787 + 0.494398i
\(592\) 9.18182 + 13.1412i 0.377370 + 0.540101i
\(593\) −1.47699 3.56577i −0.0606527 0.146429i 0.890648 0.454694i \(-0.150251\pi\)
−0.951300 + 0.308266i \(0.900251\pi\)
\(594\) 3.63461 1.42379i 0.149130 0.0584187i
\(595\) −1.89404 19.2305i −0.0776481 0.788375i
\(596\) 23.9612 + 3.29993i 0.981490 + 0.135170i
\(597\) 10.0480 18.7985i 0.411237 0.769370i
\(598\) 8.09835 + 2.62869i 0.331166 + 0.107495i
\(599\) −6.67398 33.5524i −0.272692 1.37091i −0.837836 0.545921i \(-0.816180\pi\)
0.565145 0.824992i \(-0.308820\pi\)
\(600\) −7.00925 6.46787i −0.286151 0.264050i
\(601\) 40.4430 + 8.04461i 1.64970 + 0.328147i 0.930399 0.366548i \(-0.119460\pi\)
0.719305 + 0.694694i \(0.244460\pi\)
\(602\) 3.92728 1.10885i 0.160064 0.0451933i
\(603\) −0.000314716 0.00319537i −1.28162e−5 0.000130126i
\(604\) −9.54955 + 5.85967i −0.388566 + 0.238427i
\(605\) 1.25235 4.12844i 0.0509152 0.167845i
\(606\) −19.3031 + 12.3647i −0.784134 + 0.502280i
\(607\) −8.39735 + 8.39735i −0.340838 + 0.340838i −0.856682 0.515844i \(-0.827478\pi\)
0.515844 + 0.856682i \(0.327478\pi\)
\(608\) −11.6088 7.73220i −0.470800 0.313582i
\(609\) −5.07294 5.07294i −0.205566 0.205566i
\(610\) −1.95122 0.427513i −0.0790028 0.0173095i
\(611\) −10.8197 3.28213i −0.437719 0.132781i
\(612\) −2.11506 13.3035i −0.0854962 0.537762i
\(613\) 20.3821 + 2.00746i 0.823225 + 0.0810806i 0.500853 0.865533i \(-0.333020\pi\)
0.322372 + 0.946613i \(0.395520\pi\)
\(614\) −21.4793 + 38.3804i −0.866833 + 1.54891i
\(615\) 0.0290063 0.145825i 0.00116965 0.00588022i
\(616\) −2.73091 + 17.3409i −0.110031 + 0.698684i
\(617\) −38.1030 + 7.57916i −1.53397 + 0.305126i −0.888578 0.458726i \(-0.848306\pi\)
−0.645392 + 0.763851i \(0.723306\pi\)
\(618\) 11.9192 + 23.3758i 0.479460 + 0.940311i
\(619\) −9.32165 4.98253i −0.374669 0.200265i 0.273305 0.961928i \(-0.411883\pi\)
−0.647974 + 0.761663i \(0.724383\pi\)
\(620\) 4.74210 1.24040i 0.190447 0.0498157i
\(621\) 4.67898 0.460840i 0.187761 0.0184929i
\(622\) 7.98463 18.2690i 0.320155 0.732518i
\(623\) 35.6074 14.7491i 1.42658 0.590909i
\(624\) −4.46606 + 2.50799i −0.178785 + 0.100400i
\(625\) −2.98446 1.23620i −0.119378 0.0494482i
\(626\) 30.0931 28.9510i 1.20276 1.15711i
\(627\) 4.31761 5.26103i 0.172429 0.210105i
\(628\) −10.7910 + 0.642725i −0.430609 + 0.0256475i
\(629\) 7.83584 + 25.8313i 0.312435 + 1.02996i
\(630\) −2.63415 + 3.08603i −0.104947 + 0.122950i
\(631\) −15.0166 + 22.4740i −0.597803 + 0.894675i −0.999780 0.0209746i \(-0.993323\pi\)
0.401977 + 0.915650i \(0.368323\pi\)
\(632\) 41.6738 5.80152i 1.65770 0.230772i
\(633\) 1.19449 0.798131i 0.0474766 0.0317229i
\(634\) −5.64334 7.15422i −0.224125 0.284131i
\(635\) −16.9198 + 13.8857i −0.671440 + 0.551037i
\(636\) −14.1503 6.51331i −0.561095 0.258270i
\(637\) 1.17347 + 2.19540i 0.0464944 + 0.0869849i
\(638\) 12.2600 2.19306i 0.485377 0.0868241i
\(639\) 1.29744 0.0513258
\(640\) −13.5330 + 5.02414i −0.534939 + 0.198597i
\(641\) −8.54991 −0.337701 −0.168851 0.985642i \(-0.554006\pi\)
−0.168851 + 0.985642i \(0.554006\pi\)
\(642\) 23.0905 4.13043i 0.911310 0.163015i
\(643\) 18.0456 + 33.7609i 0.711648 + 1.33140i 0.934295 + 0.356501i \(0.116030\pi\)
−0.222647 + 0.974899i \(0.571470\pi\)
\(644\) −8.84076 + 19.2067i −0.348375 + 0.756850i
\(645\) −1.26573 + 1.03876i −0.0498382 + 0.0409011i
\(646\) −14.5456 18.4399i −0.572289 0.725508i
\(647\) 0.228947 0.152978i 0.00900085 0.00601417i −0.551062 0.834465i \(-0.685777\pi\)
0.560063 + 0.828450i \(0.310777\pi\)
\(648\) −1.70513 + 2.25666i −0.0669839 + 0.0886501i
\(649\) −15.4727 + 23.1565i −0.607355 + 0.908971i
\(650\) −3.96446 + 4.64454i −0.155499 + 0.182174i
\(651\) 1.25375 + 4.13306i 0.0491384 + 0.161988i
\(652\) −1.00052 16.7982i −0.0391832 0.657867i
\(653\) −16.9375 + 20.6384i −0.662814 + 0.807641i −0.990554 0.137127i \(-0.956213\pi\)
0.327739 + 0.944768i \(0.393713\pi\)
\(654\) −3.60596 + 3.46909i −0.141004 + 0.135652i
\(655\) 4.43597 + 1.83744i 0.173328 + 0.0717948i
\(656\) 0.366383 + 0.288138i 0.0143049 + 0.0112499i
\(657\) −5.65725 + 2.34331i −0.220710 + 0.0914212i
\(658\) 11.2446 25.7278i 0.438361 1.00298i
\(659\) −38.0415 + 3.74676i −1.48189 + 0.145953i −0.806378 0.591400i \(-0.798575\pi\)
−0.675507 + 0.737353i \(0.736075\pi\)
\(660\) −1.78246 6.81442i −0.0693824 0.265251i
\(661\) 39.1116 + 20.9056i 1.52127 + 0.813133i 0.999209 0.0397771i \(-0.0126648\pi\)
0.522057 + 0.852911i \(0.325165\pi\)
\(662\) 6.33773 + 12.4295i 0.246323 + 0.483086i
\(663\) −8.45896 + 1.68259i −0.328519 + 0.0653464i
\(664\) −17.6999 + 12.8835i −0.686890 + 0.499978i
\(665\) −1.38009 + 6.93820i −0.0535178 + 0.269052i
\(666\) 2.76799 4.94600i 0.107257 0.191654i
\(667\) 14.9287 + 1.47035i 0.578043 + 0.0569322i
\(668\) −14.9844 + 2.38229i −0.579763 + 0.0921737i
\(669\) 11.3887 + 3.45473i 0.440313 + 0.133568i
\(670\) 0.00565950 + 0.00124000i 0.000218646 + 4.79052e-5i
\(671\) 2.16060 + 2.16060i 0.0834090 + 0.0834090i
\(672\) −4.88484 11.7444i −0.188437 0.453049i
\(673\) 2.44223 2.44223i 0.0941412 0.0941412i −0.658468 0.752609i \(-0.728795\pi\)
0.752609 + 0.658468i \(0.228795\pi\)
\(674\) 21.2808 13.6315i 0.819706 0.525066i
\(675\) −0.978839 + 3.22680i −0.0376755 + 0.124200i
\(676\) −11.8828 19.3655i −0.457031 0.744826i
\(677\) −0.480261 + 4.87617i −0.0184579 + 0.187407i −0.999992 0.00387839i \(-0.998765\pi\)
0.981535 + 0.191285i \(0.0612655\pi\)
\(678\) 13.2177 3.73196i 0.507623 0.143325i
\(679\) −4.88076 0.970843i −0.187306 0.0372575i
\(680\) −24.2873 + 0.975627i −0.931375 + 0.0374136i
\(681\) −0.708045 3.55958i −0.0271324 0.136404i
\(682\) −7.13164 2.31490i −0.273085 0.0886421i
\(683\) −22.9156 + 42.8721i −0.876842 + 1.64046i −0.114368 + 0.993438i \(0.536484\pi\)
−0.762475 + 0.647018i \(0.776016\pi\)
\(684\) −0.672804 + 4.88531i −0.0257253 + 0.186795i
\(685\) 1.70063 + 17.2668i 0.0649778 + 0.659731i
\(686\) −26.4820 + 10.3738i −1.01109 + 0.396073i
\(687\) 1.02578 + 2.47646i 0.0391361 + 0.0944828i
\(688\) −1.10597 5.01265i −0.0421646 0.191106i
\(689\) −3.81671 + 9.21435i −0.145405 + 0.351039i
\(690\) 0.164084 8.48221i 0.00624655 0.322912i
\(691\) −3.21773 2.64073i −0.122408 0.100458i 0.571198 0.820813i \(-0.306479\pi\)
−0.693606 + 0.720355i \(0.743979\pi\)
\(692\) −18.7238 38.5454i −0.711771 1.46528i
\(693\) 5.93924 1.80165i 0.225613 0.0684390i
\(694\) −39.4747 + 3.11836i −1.49844 + 0.118371i
\(695\) −10.6479 7.11471i −0.403898 0.269876i
\(696\) −6.74051 + 6.00038i −0.255498 + 0.227444i
\(697\) 0.436039 + 0.652578i 0.0165162 + 0.0247182i
\(698\) 49.5028 + 5.84434i 1.87371 + 0.221212i
\(699\) −6.50869 7.93087i −0.246181 0.299973i
\(700\) −10.3000 11.1294i −0.389304 0.420652i
\(701\) 19.3344 10.3344i 0.730249 0.390326i −0.0639750 0.997951i \(-0.520378\pi\)
0.794224 + 0.607625i \(0.207878\pi\)
\(702\) 1.48599 + 1.03503i 0.0560851 + 0.0390648i
\(703\) 9.88205i 0.372708i
\(704\) 21.5769 + 4.69440i 0.813212 + 0.176927i
\(705\) 11.2661i 0.424305i
\(706\) −12.8217 + 18.4080i −0.482550 + 0.692795i
\(707\) −32.1441 + 17.1814i −1.20890 + 0.646173i
\(708\) 0.780436 20.1645i 0.0293306 0.757830i
\(709\) 5.39026 + 6.56806i 0.202436 + 0.246669i 0.864326 0.502932i \(-0.167745\pi\)
−0.661890 + 0.749601i \(0.730245\pi\)
\(710\) 0.274491 2.32500i 0.0103015 0.0872556i
\(711\) −8.26467 12.3690i −0.309949 0.463872i
\(712\) −15.9239 45.7906i −0.596773 1.71608i
\(713\) −7.50893 5.01731i −0.281212 0.187900i
\(714\) −1.68668 21.3513i −0.0631223 0.799052i
\(715\) −4.31560 + 1.30912i −0.161394 + 0.0489584i
\(716\) −33.6948 11.6622i −1.25924 0.435838i
\(717\) 1.10508 + 0.906919i 0.0412701 + 0.0338695i
\(718\) 12.2759 + 0.237471i 0.458133 + 0.00886232i
\(719\) 6.84230 16.5188i 0.255175 0.616046i −0.743432 0.668811i \(-0.766803\pi\)
0.998607 + 0.0527649i \(0.0168034\pi\)
\(720\) 3.68318 + 3.53302i 0.137264 + 0.131668i
\(721\) 15.9653 + 38.5437i 0.594580 + 1.43544i
\(722\) −6.66459 17.0132i −0.248030 0.633166i
\(723\) −2.12028 21.5276i −0.0788540 0.800618i
\(724\) −35.8607 + 27.1789i −1.33275 + 1.01010i
\(725\) −5.07160 + 9.48830i −0.188355 + 0.352387i
\(726\) 1.47632 4.54816i 0.0547912 0.168798i
\(727\) −2.78283 13.9902i −0.103209 0.518869i −0.997455 0.0712930i \(-0.977287\pi\)
0.894246 0.447576i \(-0.147713\pi\)
\(728\) −7.39286 + 3.41604i −0.273998 + 0.126607i
\(729\) 0.980785 + 0.195090i 0.0363254 + 0.00722557i
\(730\) 3.00233 + 10.6335i 0.111121 + 0.393564i
\(731\) 0.847203 8.60180i 0.0313349 0.318149i
\(732\) −2.15312 0.515585i −0.0795817 0.0190566i
\(733\) 5.40287 17.8109i 0.199560 0.657860i −0.798853 0.601527i \(-0.794559\pi\)
0.998412 0.0563327i \(-0.0179407\pi\)
\(734\) 11.3491 + 17.7177i 0.418904 + 0.653971i
\(735\) 1.75392 1.75392i 0.0646944 0.0646944i
\(736\) 23.4743 + 12.5031i 0.865273 + 0.460870i
\(737\) −0.00626679 0.00626679i −0.000230840 0.000230840i
\(738\) 0.0352700 0.160977i 0.00129831 0.00592563i
\(739\) −2.04800 0.621254i −0.0753369 0.0228532i 0.252391 0.967625i \(-0.418783\pi\)
−0.327728 + 0.944772i \(0.606283\pi\)
\(740\) −8.27760 6.00662i −0.304291 0.220808i
\(741\) 3.14219 + 0.309479i 0.115431 + 0.0113690i
\(742\) −21.6131 12.0956i −0.793440 0.444043i
\(743\) −9.68830 + 48.7064i −0.355429 + 1.78686i 0.226908 + 0.973916i \(0.427138\pi\)
−0.582337 + 0.812947i \(0.697862\pi\)
\(744\) 5.28164 1.27292i 0.193634 0.0466675i
\(745\) −15.1342 + 3.01039i −0.554475 + 0.110292i
\(746\) −13.5203 + 6.89391i −0.495012 + 0.252404i
\(747\) 6.82616 + 3.64866i 0.249756 + 0.133497i
\(748\) 32.0890 + 18.7824i 1.17329 + 0.686753i
\(749\) 37.1163 3.65564i 1.35620 0.133574i
\(750\) 13.8424 + 6.04997i 0.505453 + 0.220914i
\(751\) 49.1840 20.3727i 1.79475 0.743409i 0.806367 0.591416i \(-0.201431\pi\)
0.988382 0.151993i \(-0.0485692\pi\)
\(752\) −31.4880 15.9975i −1.14825 0.583368i
\(753\) −11.4796 4.75499i −0.418338 0.173281i
\(754\) 4.00583 + 4.16387i 0.145884 + 0.151639i
\(755\) 4.53450 5.52530i 0.165027 0.201086i
\(756\) −2.98524 + 3.36337i −0.108572 + 0.122325i
\(757\) 12.7599 + 42.0637i 0.463765 + 1.52883i 0.807560 + 0.589785i \(0.200788\pi\)
−0.343795 + 0.939045i \(0.611712\pi\)
\(758\) −19.7528 16.8605i −0.717453 0.612399i
\(759\) −7.20990 + 10.7904i −0.261703 + 0.391666i
\(760\) 8.61211 + 2.23922i 0.312394 + 0.0812250i
\(761\) 43.1027 28.8003i 1.56247 1.04401i 0.591053 0.806633i \(-0.298713\pi\)
0.971418 0.237376i \(-0.0762874\pi\)
\(762\) −19.0476 + 15.0250i −0.690023 + 0.544298i
\(763\) −6.14992 + 5.04711i −0.222642 + 0.182718i
\(764\) −9.05123 24.4902i −0.327462 0.886026i
\(765\) 4.05108 + 7.57904i 0.146467 + 0.274021i
\(766\) −4.72270 26.4016i −0.170638 0.953927i
\(767\) −12.9202 −0.466522
\(768\) −15.1046 + 5.27749i −0.545039 + 0.190435i
\(769\) −29.5679 −1.06625 −0.533124 0.846037i \(-0.678982\pi\)
−0.533124 + 0.846037i \(0.678982\pi\)
\(770\) −1.97201 11.0242i −0.0710664 0.397286i
\(771\) 11.5775 + 21.6600i 0.416953 + 0.780065i
\(772\) 14.8718 + 40.2391i 0.535246 + 1.44824i
\(773\) −6.92877 + 5.68630i −0.249211 + 0.204522i −0.750702