Properties

Label 503.2.c.a.2.14
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.14
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766891 - 0.944209i) q^{2} +(-2.44234 + 2.11387i) q^{3} +(0.106699 - 0.509291i) q^{4} +(-0.375743 - 1.18667i) q^{5} +(3.86894 + 0.684973i) q^{6} +(-1.33365 + 3.87232i) q^{7} +(-2.72550 + 1.40379i) q^{8} +(1.06626 - 7.35660i) q^{9} +O(q^{10})\) \(q+(-0.766891 - 0.944209i) q^{2} +(-2.44234 + 2.11387i) q^{3} +(0.106699 - 0.509291i) q^{4} +(-0.375743 - 1.18667i) q^{5} +(3.86894 + 0.684973i) q^{6} +(-1.33365 + 3.87232i) q^{7} +(-2.72550 + 1.40379i) q^{8} +(1.06626 - 7.35660i) q^{9} +(-0.832307 + 1.26482i) q^{10} +(1.91069 - 0.618177i) q^{11} +(0.815977 + 1.46941i) q^{12} +(-4.28835 + 1.44697i) q^{13} +(4.67904 - 1.71040i) q^{14} +(3.42615 + 2.10397i) q^{15} +(2.46245 + 1.07916i) q^{16} +(-0.395118 - 0.197290i) q^{17} +(-7.76388 + 4.63493i) q^{18} +(1.39795 + 3.13633i) q^{19} +(-0.644449 + 0.0647455i) q^{20} +(-4.92835 - 12.2767i) q^{21} +(-2.04898 - 1.33001i) q^{22} +(1.91271 - 6.61140i) q^{23} +(3.68919 - 9.18988i) q^{24} +(2.82177 - 1.98608i) q^{25} +(4.65494 + 2.93943i) q^{26} +(7.72167 + 12.0604i) q^{27} +(1.82984 + 1.09239i) q^{28} +(0.00817092 - 0.0683939i) q^{29} +(-0.640892 - 4.84852i) q^{30} +(-0.470297 - 5.76797i) q^{31} +(0.760686 + 2.75821i) q^{32} +(-3.35980 + 5.54874i) q^{33} +(0.116729 + 0.524375i) q^{34} +(5.09625 + 0.127599i) q^{35} +(-3.63288 - 1.32798i) q^{36} +(0.0289454 + 0.0365638i) q^{37} +(1.88927 - 3.72518i) q^{38} +(7.41489 - 12.5990i) q^{39} +(2.68991 + 2.70680i) q^{40} +(1.21709 - 6.19468i) q^{41} +(-7.81224 + 14.0683i) q^{42} +(2.16961 - 11.8231i) q^{43} +(-0.110962 - 1.03905i) q^{44} +(-9.13047 + 1.49889i) q^{45} +(-7.70938 + 3.26422i) q^{46} +(10.8232 - 0.406591i) q^{47} +(-8.29536 + 2.56961i) q^{48} +(-7.70075 - 6.01821i) q^{49} +(-4.03927 - 1.14124i) q^{50} +(1.38206 - 0.353378i) q^{51} +(0.279366 + 2.33841i) q^{52} +(2.92314 - 6.55811i) q^{53} +(5.46583 - 16.5399i) q^{54} +(-1.45150 - 2.03507i) q^{55} +(-1.80105 - 12.4262i) q^{56} +(-10.0441 - 4.70490i) q^{57} +(-0.0708444 + 0.0447356i) q^{58} +(-0.603795 + 1.45126i) q^{59} +(1.43710 - 1.52041i) q^{60} +(2.01884 + 3.33412i) q^{61} +(-5.08551 + 4.86747i) q^{62} +(27.0651 + 13.9400i) q^{63} +(5.14330 - 7.21117i) q^{64} +(3.32839 + 4.54515i) q^{65} +(7.81577 - 1.08292i) q^{66} +(-6.25456 + 3.84088i) q^{67} +(-0.142637 + 0.180179i) q^{68} +(9.30412 + 20.1905i) q^{69} +(-3.78779 - 4.90978i) q^{70} +(0.902638 + 5.72220i) q^{71} +(7.42098 + 21.5472i) q^{72} +(-8.18799 - 7.83693i) q^{73} +(0.0123259 - 0.0553709i) q^{74} +(-2.69342 + 10.8155i) q^{75} +(1.74646 - 0.377319i) q^{76} +(-0.154404 + 8.22321i) q^{77} +(-17.5825 + 2.66086i) q^{78} +(0.160064 + 2.83888i) q^{79} +(0.355360 - 3.32759i) q^{80} +(-22.9703 - 6.80150i) q^{81} +(-6.78245 + 3.60146i) q^{82} +(3.69861 + 7.07191i) q^{83} +(-6.77825 + 1.20005i) q^{84} +(-0.0856551 + 0.543004i) q^{85} +(-12.8274 + 7.01849i) q^{86} +(0.124620 + 0.184314i) q^{87} +(-4.33979 + 4.36704i) q^{88} +(3.10256 + 11.8253i) q^{89} +(8.41734 + 7.47159i) q^{90} +(0.116000 - 18.5356i) q^{91} +(-3.16304 - 1.67956i) q^{92} +(13.3414 + 13.0932i) q^{93} +(-8.68413 - 9.90757i) q^{94} +(3.19651 - 2.83736i) q^{95} +(-7.68835 - 5.12849i) q^{96} +(-1.02912 - 4.36475i) q^{97} +(0.223187 + 11.8864i) q^{98} +(-2.51038 - 14.7153i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766891 0.944209i −0.542274 0.667657i 0.429638 0.903001i \(-0.358641\pi\)
−0.971912 + 0.235345i \(0.924378\pi\)
\(3\) −2.44234 + 2.11387i −1.41009 + 1.22044i −0.468591 + 0.883415i \(0.655238\pi\)
−0.941495 + 0.337028i \(0.890578\pi\)
\(4\) 0.106699 0.509291i 0.0533497 0.254645i
\(5\) −0.375743 1.18667i −0.168037 0.530693i 0.831660 0.555285i \(-0.187391\pi\)
−0.999698 + 0.0245914i \(0.992172\pi\)
\(6\) 3.86894 + 0.684973i 1.57949 + 0.279639i
\(7\) −1.33365 + 3.87232i −0.504071 + 1.46360i 0.346657 + 0.937992i \(0.387317\pi\)
−0.850728 + 0.525606i \(0.823839\pi\)
\(8\) −2.72550 + 1.40379i −0.963611 + 0.496313i
\(9\) 1.06626 7.35660i 0.355421 2.45220i
\(10\) −0.832307 + 1.26482i −0.263199 + 0.399972i
\(11\) 1.91069 0.618177i 0.576093 0.186387i −0.00533361 0.999986i \(-0.501698\pi\)
0.581427 + 0.813599i \(0.302495\pi\)
\(12\) 0.815977 + 1.46941i 0.235552 + 0.424182i
\(13\) −4.28835 + 1.44697i −1.18937 + 0.401318i −0.843586 0.536994i \(-0.819560\pi\)
−0.345788 + 0.938313i \(0.612388\pi\)
\(14\) 4.67904 1.71040i 1.25053 0.457125i
\(15\) 3.42615 + 2.10397i 0.884627 + 0.543243i
\(16\) 2.46245 + 1.07916i 0.615613 + 0.269791i
\(17\) −0.395118 0.197290i −0.0958303 0.0478500i 0.398170 0.917311i \(-0.369645\pi\)
−0.494001 + 0.869462i \(0.664466\pi\)
\(18\) −7.76388 + 4.63493i −1.82996 + 1.09246i
\(19\) 1.39795 + 3.13633i 0.320712 + 0.719524i 0.999896 0.0144451i \(-0.00459817\pi\)
−0.679183 + 0.733969i \(0.737666\pi\)
\(20\) −0.644449 + 0.0647455i −0.144103 + 0.0144775i
\(21\) −4.92835 12.2767i −1.07545 2.67899i
\(22\) −2.04898 1.33001i −0.436843 0.283560i
\(23\) 1.91271 6.61140i 0.398829 1.37857i −0.469654 0.882851i \(-0.655621\pi\)
0.868482 0.495721i \(-0.165096\pi\)
\(24\) 3.68919 9.18988i 0.753052 1.87588i
\(25\) 2.82177 1.98608i 0.564355 0.397216i
\(26\) 4.65494 + 2.93943i 0.912909 + 0.576469i
\(27\) 7.72167 + 12.0604i 1.48604 + 2.32102i
\(28\) 1.82984 + 1.09239i 0.345806 + 0.206442i
\(29\) 0.00817092 0.0683939i 0.00151730 0.0127004i −0.992160 0.124973i \(-0.960116\pi\)
0.993677 + 0.112272i \(0.0358129\pi\)
\(30\) −0.640892 4.84852i −0.117010 0.885214i
\(31\) −0.470297 5.76797i −0.0844679 1.03596i −0.893758 0.448550i \(-0.851941\pi\)
0.809290 0.587409i \(-0.199852\pi\)
\(32\) 0.760686 + 2.75821i 0.134472 + 0.487587i
\(33\) −3.35980 + 5.54874i −0.584866 + 0.965911i
\(34\) 0.116729 + 0.524375i 0.0200189 + 0.0899295i
\(35\) 5.09625 + 0.127599i 0.861424 + 0.0215682i
\(36\) −3.63288 1.32798i −0.605480 0.221331i
\(37\) 0.0289454 + 0.0365638i 0.00475859 + 0.00601105i 0.786430 0.617680i \(-0.211927\pi\)
−0.781671 + 0.623691i \(0.785632\pi\)
\(38\) 1.88927 3.72518i 0.306481 0.604304i
\(39\) 7.41489 12.5990i 1.18733 2.01746i
\(40\) 2.68991 + 2.70680i 0.425312 + 0.427982i
\(41\) 1.21709 6.19468i 0.190078 0.967447i −0.758685 0.651458i \(-0.774158\pi\)
0.948763 0.315989i \(-0.102336\pi\)
\(42\) −7.81224 + 14.0683i −1.20545 + 2.17078i
\(43\) 2.16961 11.8231i 0.330863 1.80301i −0.227899 0.973685i \(-0.573186\pi\)
0.558762 0.829328i \(-0.311277\pi\)
\(44\) −0.110962 1.03905i −0.0167282 0.156643i
\(45\) −9.13047 + 1.49889i −1.36109 + 0.223441i
\(46\) −7.70938 + 3.26422i −1.13669 + 0.481283i
\(47\) 10.8232 0.406591i 1.57873 0.0593074i 0.766344 0.642430i \(-0.222074\pi\)
0.812384 + 0.583123i \(0.198169\pi\)
\(48\) −8.29536 + 2.56961i −1.19733 + 0.370892i
\(49\) −7.70075 6.01821i −1.10011 0.859744i
\(50\) −4.03927 1.14124i −0.571239 0.161395i
\(51\) 1.38206 0.353378i 0.193527 0.0494828i
\(52\) 0.279366 + 2.33841i 0.0387411 + 0.324279i
\(53\) 2.92314 6.55811i 0.401524 0.900826i −0.593834 0.804587i \(-0.702386\pi\)
0.995358 0.0962388i \(-0.0306812\pi\)
\(54\) 5.46583 16.5399i 0.743805 2.25079i
\(55\) −1.45150 2.03507i −0.195720 0.274409i
\(56\) −1.80105 12.4262i −0.240675 1.66052i
\(57\) −10.0441 4.70490i −1.33037 0.623179i
\(58\) −0.0708444 + 0.0447356i −0.00930232 + 0.00587408i
\(59\) −0.603795 + 1.45126i −0.0786075 + 0.188939i −0.957738 0.287643i \(-0.907128\pi\)
0.879130 + 0.476582i \(0.158124\pi\)
\(60\) 1.43710 1.52041i 0.185529 0.196284i
\(61\) 2.01884 + 3.33412i 0.258485 + 0.426891i 0.957592 0.288127i \(-0.0930324\pi\)
−0.699107 + 0.715017i \(0.746419\pi\)
\(62\) −5.08551 + 4.86747i −0.645860 + 0.618169i
\(63\) 27.0651 + 13.9400i 3.40988 + 1.75628i
\(64\) 5.14330 7.21117i 0.642912 0.901396i
\(65\) 3.32839 + 4.54515i 0.412836 + 0.563756i
\(66\) 7.81577 1.08292i 0.962055 0.133298i
\(67\) −6.25456 + 3.84088i −0.764116 + 0.469238i −0.849814 0.527083i \(-0.823286\pi\)
0.0856978 + 0.996321i \(0.472688\pi\)
\(68\) −0.142637 + 0.180179i −0.0172973 + 0.0218500i
\(69\) 9.30412 + 20.1905i 1.12008 + 2.43065i
\(70\) −3.78779 4.90978i −0.452728 0.586831i
\(71\) 0.902638 + 5.72220i 0.107123 + 0.679101i 0.981154 + 0.193229i \(0.0618961\pi\)
−0.874030 + 0.485871i \(0.838502\pi\)
\(72\) 7.42098 + 21.5472i 0.874571 + 2.53937i
\(73\) −8.18799 7.83693i −0.958332 0.917243i 0.0382989 0.999266i \(-0.487806\pi\)
−0.996630 + 0.0820231i \(0.973862\pi\)
\(74\) 0.0123259 0.0553709i 0.00143286 0.00643674i
\(75\) −2.69342 + 10.8155i −0.311010 + 1.24887i
\(76\) 1.74646 0.377319i 0.200333 0.0432815i
\(77\) −0.154404 + 8.22321i −0.0175960 + 0.937122i
\(78\) −17.5825 + 2.66086i −1.99083 + 0.301283i
\(79\) 0.160064 + 2.83888i 0.0180087 + 0.319399i 0.994564 + 0.104131i \(0.0332060\pi\)
−0.976555 + 0.215268i \(0.930937\pi\)
\(80\) 0.355360 3.32759i 0.0397304 0.372036i
\(81\) −22.9703 6.80150i −2.55225 0.755722i
\(82\) −6.78245 + 3.60146i −0.748997 + 0.397714i
\(83\) 3.69861 + 7.07191i 0.405975 + 0.776243i 0.999594 0.0285037i \(-0.00907425\pi\)
−0.593619 + 0.804746i \(0.702301\pi\)
\(84\) −6.77825 + 1.20005i −0.739567 + 0.130936i
\(85\) −0.0856551 + 0.543004i −0.00929060 + 0.0588970i
\(86\) −12.8274 + 7.01849i −1.38321 + 0.756824i
\(87\) 0.124620 + 0.184314i 0.0133606 + 0.0197605i
\(88\) −4.33979 + 4.36704i −0.462623 + 0.465528i
\(89\) 3.10256 + 11.8253i 0.328871 + 1.25348i 0.901183 + 0.433439i \(0.142700\pi\)
−0.572312 + 0.820036i \(0.693953\pi\)
\(90\) 8.41734 + 7.47159i 0.887265 + 0.787574i
\(91\) 0.116000 18.5356i 0.0121601 1.94306i
\(92\) −3.16304 1.67956i −0.329769 0.175106i
\(93\) 13.3414 + 13.0932i 1.38344 + 1.35770i
\(94\) −8.68413 9.90757i −0.895700 1.02189i
\(95\) 3.19651 2.83736i 0.327955 0.291106i
\(96\) −7.68835 5.12849i −0.784689 0.523425i
\(97\) −1.02912 4.36475i −0.104492 0.443173i 0.895507 0.445048i \(-0.146813\pi\)
−0.999998 + 0.00187525i \(0.999403\pi\)
\(98\) 0.223187 + 11.8864i 0.0225453 + 1.20071i
\(99\) −2.51038 14.7153i −0.252303 1.47894i
\(100\) −0.710410 1.64902i −0.0710410 0.164902i
\(101\) 6.70771 2.64413i 0.667443 0.263100i −0.00859981 0.999963i \(-0.502737\pi\)
0.676042 + 0.736863i \(0.263694\pi\)
\(102\) −1.39355 1.03395i −0.137982 0.102376i
\(103\) −10.0006 + 2.02994i −0.985391 + 0.200016i −0.664653 0.747152i \(-0.731421\pi\)
−0.320737 + 0.947168i \(0.603931\pi\)
\(104\) 9.65666 9.96365i 0.946914 0.977017i
\(105\) −12.7165 + 10.4612i −1.24101 + 1.02091i
\(106\) −8.43396 + 2.26930i −0.819179 + 0.220414i
\(107\) 3.56017 + 0.133743i 0.344175 + 0.0129295i 0.209067 0.977901i \(-0.432957\pi\)
0.135108 + 0.990831i \(0.456862\pi\)
\(108\) 6.96613 2.64574i 0.670316 0.254587i
\(109\) 12.4326 + 13.1533i 1.19082 + 1.25986i 0.957816 + 0.287381i \(0.0927845\pi\)
0.233006 + 0.972475i \(0.425144\pi\)
\(110\) −0.808394 + 2.93119i −0.0770773 + 0.279478i
\(111\) −0.147985 0.0281146i −0.0140462 0.00266852i
\(112\) −7.46291 + 8.09617i −0.705178 + 0.765016i
\(113\) −6.93076 14.1005i −0.651991 1.32646i −0.930592 0.366058i \(-0.880707\pi\)
0.278601 0.960407i \(-0.410129\pi\)
\(114\) 3.26030 + 13.0918i 0.305355 + 1.22616i
\(115\) −8.56421 + 0.214429i −0.798616 + 0.0199956i
\(116\) −0.0339606 0.0114590i −0.00315316 0.00106394i
\(117\) 6.07230 + 33.0905i 0.561384 + 3.05922i
\(118\) 1.83334 0.542853i 0.168773 0.0499736i
\(119\) 1.29092 1.26691i 0.118338 0.116137i
\(120\) −12.2915 0.924804i −1.12206 0.0844227i
\(121\) −5.64677 + 4.08106i −0.513342 + 0.371005i
\(122\) 1.59988 4.46311i 0.144846 0.404071i
\(123\) 10.1222 + 17.7023i 0.912687 + 1.59616i
\(124\) −2.98776 0.375922i −0.268308 0.0337588i
\(125\) −8.36843 6.37292i −0.748496 0.570012i
\(126\) −7.59366 36.2456i −0.676497 3.22901i
\(127\) 8.37043 4.71696i 0.742756 0.418562i −0.0727209 0.997352i \(-0.523168\pi\)
0.815476 + 0.578790i \(0.196475\pi\)
\(128\) −5.04204 + 0.315951i −0.445658 + 0.0279264i
\(129\) 19.6936 + 33.4624i 1.73393 + 2.94620i
\(130\) 1.73906 6.62833i 0.152525 0.581343i
\(131\) 2.28819 1.52633i 0.199920 0.133356i −0.450939 0.892555i \(-0.648911\pi\)
0.650859 + 0.759199i \(0.274409\pi\)
\(132\) 2.46743 + 2.30316i 0.214762 + 0.200465i
\(133\) −14.0092 + 1.23056i −1.21476 + 0.106703i
\(134\) 8.42316 + 2.96007i 0.727650 + 0.255711i
\(135\) 11.4103 13.6946i 0.982039 1.17865i
\(136\) 1.35385 0.0169461i 0.116092 0.00145311i
\(137\) −3.67114 9.48668i −0.313647 0.810501i −0.996778 0.0802060i \(-0.974442\pi\)
0.683131 0.730295i \(-0.260618\pi\)
\(138\) 11.9288 24.2690i 1.01545 2.06591i
\(139\) −19.7692 4.27110i −1.67680 0.362270i −0.729843 0.683615i \(-0.760407\pi\)
−0.946962 + 0.321345i \(0.895865\pi\)
\(140\) 0.608753 2.58186i 0.0514490 0.218207i
\(141\) −25.5745 + 23.8719i −2.15376 + 2.01038i
\(142\) 4.71073 5.24059i 0.395316 0.439780i
\(143\) −7.29920 + 5.41567i −0.610390 + 0.452881i
\(144\) 10.5646 16.9646i 0.880384 1.41372i
\(145\) −0.0842309 + 0.0160024i −0.00699500 + 0.00132892i
\(146\) −1.12041 + 13.7412i −0.0927254 + 1.13723i
\(147\) 31.5296 1.57985i 2.60051 0.130304i
\(148\) 0.0217101 0.0108403i 0.00178456 0.000891064i
\(149\) 10.4686 16.3508i 0.857624 1.33951i −0.0817636 0.996652i \(-0.526055\pi\)
0.939387 0.342858i \(-0.111395\pi\)
\(150\) 12.2777 5.75119i 1.00247 0.469583i
\(151\) 4.26413 + 6.48002i 0.347010 + 0.527336i 0.966162 0.257934i \(-0.0830418\pi\)
−0.619153 + 0.785271i \(0.712524\pi\)
\(152\) −8.21286 6.58565i −0.666151 0.534167i
\(153\) −1.87269 + 2.69636i −0.151398 + 0.217988i
\(154\) 7.88284 6.16052i 0.635217 0.496429i
\(155\) −6.66795 + 2.72536i −0.535582 + 0.218906i
\(156\) −5.62539 5.12064i −0.450392 0.409980i
\(157\) 5.16904 10.8575i 0.412535 0.866524i −0.585889 0.810391i \(-0.699254\pi\)
0.998423 0.0561327i \(-0.0178770\pi\)
\(158\) 2.55774 2.32824i 0.203483 0.185225i
\(159\) 6.72369 + 22.1963i 0.533223 + 1.76028i
\(160\) 2.98725 1.93906i 0.236163 0.153296i
\(161\) 23.0505 + 16.2239i 1.81664 + 1.27862i
\(162\) 11.1937 + 26.9047i 0.879456 + 2.11384i
\(163\) 18.1978 + 6.91153i 1.42536 + 0.541353i 0.942459 0.334321i \(-0.108507\pi\)
0.482902 + 0.875675i \(0.339583\pi\)
\(164\) −3.02503 1.28082i −0.236215 0.100016i
\(165\) 7.84692 + 1.90207i 0.610882 + 0.148076i
\(166\) 3.84093 8.91564i 0.298114 0.691988i
\(167\) 0.246821 7.88541i 0.0190996 0.610192i −0.942258 0.334888i \(-0.891301\pi\)
0.961357 0.275303i \(-0.0887783\pi\)
\(168\) 30.6660 + 26.5418i 2.36594 + 2.04774i
\(169\) 5.95378 4.53406i 0.457983 0.348774i
\(170\) 0.578397 0.335549i 0.0443610 0.0257354i
\(171\) 24.5633 6.94002i 1.87840 0.530717i
\(172\) −5.78992 2.36649i −0.441477 0.180443i
\(173\) −1.96969 4.13730i −0.149752 0.314553i 0.814220 0.580557i \(-0.197165\pi\)
−0.963972 + 0.266004i \(0.914297\pi\)
\(174\) 0.0784608 0.259015i 0.00594810 0.0196359i
\(175\) 3.92748 + 13.5755i 0.296890 + 1.02621i
\(176\) 5.37209 + 0.539714i 0.404936 + 0.0406825i
\(177\) −1.59311 4.82083i −0.119745 0.362356i
\(178\) 8.78619 11.9982i 0.658553 0.899300i
\(179\) 10.5222 19.5201i 0.786467 1.45900i −0.0993934 0.995048i \(-0.531690\pi\)
0.885861 0.463951i \(-0.153569\pi\)
\(180\) −0.210847 + 4.80999i −0.0157156 + 0.358516i
\(181\) −0.283674 4.11429i −0.0210853 0.305812i −0.996387 0.0849336i \(-0.972932\pi\)
0.975301 0.220879i \(-0.0708925\pi\)
\(182\) −17.5904 + 14.1053i −1.30389 + 1.04555i
\(183\) −11.9786 3.87551i −0.885482 0.286486i
\(184\) 4.06788 + 20.7044i 0.299888 + 1.52635i
\(185\) 0.0325130 0.0480870i 0.00239040 0.00353543i
\(186\) 2.13135 22.6381i 0.156279 1.65991i
\(187\) −0.876907 0.132707i −0.0641258 0.00970450i
\(188\) 0.947758 5.55555i 0.0691224 0.405180i
\(189\) −56.9996 + 13.8165i −4.14611 + 1.00500i
\(190\) −5.13043 0.842228i −0.372200 0.0611016i
\(191\) 0.135975 2.41164i 0.00983883 0.174500i −0.989675 0.143328i \(-0.954220\pi\)
0.999514 0.0311717i \(-0.00992388\pi\)
\(192\) 2.68178 + 28.4844i 0.193541 + 2.05568i
\(193\) −21.8300 11.9443i −1.57136 0.859769i −0.999215 0.0396157i \(-0.987387\pi\)
−0.572144 0.820153i \(-0.693888\pi\)
\(194\) −3.33201 + 4.31899i −0.239224 + 0.310086i
\(195\) −17.7369 4.06502i −1.27017 0.291102i
\(196\) −3.88668 + 3.27978i −0.277620 + 0.234270i
\(197\) 7.08982 0.533433i 0.505129 0.0380055i 0.179983 0.983670i \(-0.442396\pi\)
0.325145 + 0.945664i \(0.394587\pi\)
\(198\) −11.9691 + 13.6553i −0.850608 + 0.970443i
\(199\) −0.0651933 10.4172i −0.00462143 0.738456i −0.931628 0.363412i \(-0.881612\pi\)
0.927007 0.375044i \(-0.122372\pi\)
\(200\) −4.90272 + 9.37423i −0.346675 + 0.662858i
\(201\) 7.15665 22.6021i 0.504791 1.59423i
\(202\) −7.64069 4.30573i −0.537597 0.302950i
\(203\) 0.253946 + 0.122854i 0.0178235 + 0.00862264i
\(204\) −0.0325070 0.741575i −0.00227595 0.0519207i
\(205\) −7.80833 + 0.883323i −0.545358 + 0.0616939i
\(206\) 9.58608 + 7.88593i 0.667894 + 0.549439i
\(207\) −46.5979 21.1206i −3.23878 1.46798i
\(208\) −12.1214 1.06473i −0.840466 0.0738257i
\(209\) 4.60985 + 5.12836i 0.318870 + 0.354736i
\(210\) 19.6297 + 3.98447i 1.35458 + 0.274955i
\(211\) −4.12490 + 2.82673i −0.283970 + 0.194600i −0.698836 0.715282i \(-0.746298\pi\)
0.414867 + 0.909882i \(0.363828\pi\)
\(212\) −3.02809 2.18847i −0.207970 0.150305i
\(213\) −14.3005 12.0675i −0.979857 0.826853i
\(214\) −2.60398 3.46411i −0.178004 0.236802i
\(215\) −14.8453 + 1.86785i −1.01244 + 0.127386i
\(216\) −37.9756 22.0310i −2.58391 1.49902i
\(217\) 22.9626 + 5.87130i 1.55881 + 0.398570i
\(218\) 2.88504 21.8261i 0.195399 1.47825i
\(219\) 36.5641 + 1.83212i 2.47077 + 0.123803i
\(220\) −1.19132 + 0.522092i −0.0803185 + 0.0351994i
\(221\) 1.97988 + 0.274324i 0.133181 + 0.0184530i
\(222\) 0.0869427 + 0.161290i 0.00583521 + 0.0108251i
\(223\) 18.9394 9.16248i 1.26828 0.613565i 0.325043 0.945699i \(-0.394621\pi\)
0.943232 + 0.332134i \(0.107769\pi\)
\(224\) −11.6951 0.732857i −0.781415 0.0489661i
\(225\) −11.6020 22.8764i −0.773469 1.52509i
\(226\) −7.99869 + 17.3576i −0.532065 + 1.15461i
\(227\) −13.6358 + 3.12510i −0.905037 + 0.207420i −0.650378 0.759611i \(-0.725389\pi\)
−0.254659 + 0.967031i \(0.581963\pi\)
\(228\) −3.46786 + 4.61334i −0.229665 + 0.305526i
\(229\) −8.80152 + 15.3926i −0.581621 + 1.01717i 0.412712 + 0.910862i \(0.364582\pi\)
−0.994333 + 0.106313i \(0.966096\pi\)
\(230\) 6.77028 + 7.92196i 0.446419 + 0.522358i
\(231\) −17.0057 20.4103i −1.11889 1.34290i
\(232\) 0.0737406 + 0.197878i 0.00484131 + 0.0129913i
\(233\) 7.99480 + 0.100071i 0.523757 + 0.00655584i 0.273957 0.961742i \(-0.411667\pi\)
0.249799 + 0.968298i \(0.419635\pi\)
\(234\) 26.5876 31.1103i 1.73808 2.03375i
\(235\) −4.54923 12.6908i −0.296759 0.827854i
\(236\) 0.674691 + 0.462356i 0.0439186 + 0.0300968i
\(237\) −6.39195 6.59515i −0.415201 0.428401i
\(238\) −2.18622 0.247318i −0.141712 0.0160312i
\(239\) −1.79589 + 26.0468i −0.116166 + 1.68483i 0.476341 + 0.879261i \(0.341963\pi\)
−0.592507 + 0.805565i \(0.701862\pi\)
\(240\) 6.16619 + 8.87831i 0.398026 + 0.573092i
\(241\) 19.7924 + 6.13100i 1.27494 + 0.394932i 0.857835 0.513925i \(-0.171809\pi\)
0.417106 + 0.908858i \(0.363044\pi\)
\(242\) 8.18382 + 2.20200i 0.526076 + 0.141550i
\(243\) 31.3489 14.2089i 2.01103 0.911503i
\(244\) 1.91345 0.672425i 0.122496 0.0430476i
\(245\) −4.24811 + 11.3995i −0.271402 + 0.728288i
\(246\) 8.95206 23.1332i 0.570762 1.47492i
\(247\) −10.5331 11.4269i −0.670205 0.727075i
\(248\) 9.37880 + 15.0604i 0.595554 + 0.956338i
\(249\) −23.9823 9.45364i −1.51982 0.599100i
\(250\) 0.400305 + 12.7889i 0.0253175 + 0.808840i
\(251\) −15.2958 + 18.8325i −0.965464 + 1.18870i 0.0165454 + 0.999863i \(0.494733\pi\)
−0.982009 + 0.188832i \(0.939530\pi\)
\(252\) 9.98735 12.2966i 0.629144 0.774613i
\(253\) −0.432414 13.8147i −0.0271856 0.868523i
\(254\) −10.8730 4.28605i −0.682233 0.268930i
\(255\) −0.938640 1.50726i −0.0587799 0.0943885i
\(256\) −7.84154 8.50694i −0.490097 0.531683i
\(257\) 8.34801 21.5723i 0.520735 1.34564i −0.385438 0.922734i \(-0.625950\pi\)
0.906173 0.422907i \(-0.138990\pi\)
\(258\) 16.4926 44.2569i 1.02679 2.75532i
\(259\) −0.180189 + 0.0633224i −0.0111964 + 0.00393466i
\(260\) 2.66994 1.21015i 0.165583 0.0750505i
\(261\) −0.494434 0.133036i −0.0306047 0.00823473i
\(262\) −3.19596 0.989998i −0.197447 0.0611623i
\(263\) −16.6094 23.9149i −1.02418 1.47466i −0.873957 0.486003i \(-0.838454\pi\)
−0.150225 0.988652i \(-0.548000\pi\)
\(264\) 1.36791 19.8395i 0.0841890 1.22104i
\(265\) −8.88064 1.00463i −0.545533 0.0617138i
\(266\) 11.9055 + 12.2839i 0.729971 + 0.753177i
\(267\) −32.5746 22.3229i −1.99353 1.36614i
\(268\) 1.28877 + 3.59521i 0.0787239 + 0.219612i
\(269\) 0.604245 0.707031i 0.0368414 0.0431085i −0.741476 0.670979i \(-0.765874\pi\)
0.778318 + 0.627871i \(0.216073\pi\)
\(270\) −21.6810 0.271381i −1.31947 0.0165157i
\(271\) 1.05396 + 2.82824i 0.0640236 + 0.171803i 0.965115 0.261826i \(-0.0843246\pi\)
−0.901092 + 0.433629i \(0.857233\pi\)
\(272\) −0.760051 0.912216i −0.0460849 0.0553112i
\(273\) 38.8985 + 45.5155i 2.35424 + 2.75472i
\(274\) −6.14204 + 10.7416i −0.371054 + 0.648922i
\(275\) 4.16378 5.53913i 0.251085 0.334022i
\(276\) 11.2756 2.58419i 0.678710 0.155550i
\(277\) −8.98985 + 19.5085i −0.540148 + 1.17215i 0.423725 + 0.905791i \(0.360722\pi\)
−0.963873 + 0.266362i \(0.914178\pi\)
\(278\) 11.1280 + 21.9418i 0.667416 + 1.31598i
\(279\) −42.9341 2.69040i −2.57040 0.161070i
\(280\) −14.0690 + 6.80628i −0.840782 + 0.406753i
\(281\) −11.3007 20.9644i −0.674146 1.25063i −0.956616 0.291353i \(-0.905895\pi\)
0.282470 0.959276i \(-0.408846\pi\)
\(282\) 42.1529 + 5.84054i 2.51017 + 0.347799i
\(283\) 13.9344 6.10670i 0.828312 0.363006i 0.0561424 0.998423i \(-0.482120\pi\)
0.772169 + 0.635417i \(0.219172\pi\)
\(284\) 3.01058 + 0.150851i 0.178645 + 0.00895137i
\(285\) −1.80916 + 13.6868i −0.107165 + 0.810735i
\(286\) 10.7112 + 2.73874i 0.633367 + 0.161945i
\(287\) 22.3646 + 12.9745i 1.32014 + 0.765860i
\(288\) 21.1021 2.65509i 1.24345 0.156452i
\(289\) −10.0976 13.4330i −0.593977 0.790175i
\(290\) 0.0797055 + 0.0672595i 0.00468047 + 0.00394961i
\(291\) 11.7400 + 8.48477i 0.688209 + 0.497386i
\(292\) −4.86493 + 3.33387i −0.284698 + 0.195100i
\(293\) 14.6532 + 2.97433i 0.856048 + 0.173762i 0.606973 0.794722i \(-0.292384\pi\)
0.249074 + 0.968484i \(0.419874\pi\)
\(294\) −25.6714 28.5589i −1.49719 1.66559i
\(295\) 1.94904 + 0.171202i 0.113477 + 0.00996774i
\(296\) −0.130218 0.0590216i −0.00756879 0.00343056i
\(297\) 22.2091 + 18.2702i 1.28870 + 1.06015i
\(298\) −23.4669 + 2.65470i −1.35940 + 0.153783i
\(299\) 1.36413 + 31.1196i 0.0788898 + 1.79969i
\(300\) 5.22087 + 2.52575i 0.301427 + 0.145824i
\(301\) 42.8895 + 24.1693i 2.47211 + 1.39310i
\(302\) 2.84837 8.99569i 0.163905 0.517644i
\(303\) −10.7932 + 20.6371i −0.620053 + 1.18557i
\(304\) 0.0577740 + 9.23168i 0.00331357 + 0.529473i
\(305\) 3.19793 3.64845i 0.183113 0.208910i
\(306\) 3.98208 0.299609i 0.227640 0.0171275i
\(307\) −15.9483 + 13.4580i −0.910218 + 0.768088i −0.973208 0.229926i \(-0.926151\pi\)
0.0629903 + 0.998014i \(0.479936\pi\)
\(308\) 4.17153 + 0.956049i 0.237695 + 0.0544759i
\(309\) 20.1339 26.0978i 1.14538 1.48465i
\(310\) 7.68690 + 4.20588i 0.436586 + 0.238878i
\(311\) −0.797630 8.47200i −0.0452294 0.480403i −0.988802 0.149236i \(-0.952319\pi\)
0.943572 0.331167i \(-0.107442\pi\)
\(312\) −2.52300 + 44.7476i −0.142837 + 2.53333i
\(313\) 1.16953 + 0.191995i 0.0661060 + 0.0108522i 0.194957 0.980812i \(-0.437543\pi\)
−0.128851 + 0.991664i \(0.541129\pi\)
\(314\) −14.2159 + 3.44588i −0.802247 + 0.194462i
\(315\) 6.37265 37.3550i 0.359058 2.10472i
\(316\) 1.46289 + 0.221387i 0.0822941 + 0.0124540i
\(317\) −0.840448 + 8.92678i −0.0472043 + 0.501378i 0.939917 + 0.341403i \(0.110902\pi\)
−0.987121 + 0.159975i \(0.948859\pi\)
\(318\) 15.8016 23.3707i 0.886109 1.31056i
\(319\) −0.0266675 0.135730i −0.00149309 0.00759944i
\(320\) −10.4898 3.39383i −0.586398 0.189721i
\(321\) −8.97787 + 7.19909i −0.501096 + 0.401814i
\(322\) −2.35849 34.2065i −0.131434 1.90625i
\(323\) 0.0664113 1.51502i 0.00369522 0.0842982i
\(324\) −5.91485 + 10.9728i −0.328603 + 0.609601i
\(325\) −9.22695 + 12.6000i −0.511819 + 0.698924i
\(326\) −7.42979 22.4829i −0.411498 1.24521i
\(327\) −58.1688 5.84402i −3.21674 0.323175i
\(328\) 5.37882 + 18.5922i 0.296996 + 1.02658i
\(329\) −12.8599 + 42.4532i −0.708989 + 2.34052i
\(330\) −4.22178 8.86781i −0.232401 0.488157i
\(331\) −22.1181 9.04022i −1.21572 0.496896i −0.322524 0.946561i \(-0.604531\pi\)
−0.893197 + 0.449666i \(0.851543\pi\)
\(332\) 3.99630 1.12910i 0.219325 0.0619672i
\(333\) 0.299849 0.173953i 0.0164316 0.00953255i
\(334\) −7.63476 + 5.81420i −0.417756 + 0.318139i
\(335\) 6.90794 + 5.97889i 0.377421 + 0.326662i
\(336\) 1.11273 35.5492i 0.0607041 1.93937i
\(337\) −4.23269 + 9.82499i −0.230569 + 0.535201i −0.993833 0.110885i \(-0.964631\pi\)
0.763264 + 0.646087i \(0.223596\pi\)
\(338\) −8.84700 2.14448i −0.481213 0.116645i
\(339\) 46.7339 + 19.7875i 2.53824 + 1.07471i
\(340\) 0.267407 + 0.101562i 0.0145022 + 0.00550795i
\(341\) −4.46422 10.7301i −0.241751 0.581065i
\(342\) −25.3902 17.8707i −1.37295 0.966335i
\(343\) 9.52757 6.18445i 0.514441 0.333929i
\(344\) 10.6839 + 35.2697i 0.576036 + 1.90161i
\(345\) 20.4634 18.6273i 1.10171 1.00286i
\(346\) −2.39595 + 5.03266i −0.128807 + 0.270557i
\(347\) 19.5267 + 17.7746i 1.04825 + 0.954190i 0.999005 0.0445970i \(-0.0142004\pi\)
0.0492405 + 0.998787i \(0.484320\pi\)
\(348\) 0.107166 0.0438015i 0.00574470 0.00234800i
\(349\) 25.4675 19.9031i 1.36325 1.06539i 0.372738 0.927937i \(-0.378419\pi\)
0.990508 0.137454i \(-0.0438918\pi\)
\(350\) 9.80619 14.1193i 0.524163 0.754709i
\(351\) −50.5643 40.5460i −2.69892 2.16419i
\(352\) 3.15849 + 4.79983i 0.168348 + 0.255832i
\(353\) 20.7587 9.72393i 1.10488 0.517553i 0.216321 0.976322i \(-0.430594\pi\)
0.888555 + 0.458770i \(0.151710\pi\)
\(354\) −3.33013 + 5.20128i −0.176994 + 0.276445i
\(355\) 6.45119 3.22120i 0.342393 0.170964i
\(356\) 6.35354 0.318357i 0.336737 0.0168729i
\(357\) −0.474788 + 5.82306i −0.0251285 + 0.308189i
\(358\) −26.5004 + 5.03460i −1.40059 + 0.266087i
\(359\) 8.69908 13.9690i 0.459120 0.737253i −0.535080 0.844802i \(-0.679718\pi\)
0.994200 + 0.107549i \(0.0343001\pi\)
\(360\) 22.7810 16.9024i 1.20066 0.890837i
\(361\) 4.81940 5.36147i 0.253653 0.282183i
\(362\) −3.66720 + 3.42306i −0.192744 + 0.179912i
\(363\) 5.16451 21.9039i 0.271066 1.14965i
\(364\) −9.42763 2.03682i −0.494142 0.106758i
\(365\) −6.22324 + 12.6611i −0.325739 + 0.662711i
\(366\) 5.52698 + 14.2824i 0.288900 + 0.746552i
\(367\) 22.2092 0.277992i 1.15931 0.0145110i 0.569457 0.822021i \(-0.307154\pi\)
0.589854 + 0.807510i \(0.299185\pi\)
\(368\) 11.8447 14.2161i 0.617450 0.741066i
\(369\) −44.2741 15.5588i −2.30482 0.809961i
\(370\) −0.0703381 + 0.00617843i −0.00365671 + 0.000321201i
\(371\) 21.4967 + 20.0655i 1.11605 + 1.04175i
\(372\) 8.09177 5.39760i 0.419539 0.279852i
\(373\) −0.360856 + 1.37538i −0.0186844 + 0.0712147i −0.975949 0.217999i \(-0.930047\pi\)
0.957265 + 0.289213i \(0.0933937\pi\)
\(374\) 0.547189 + 0.929756i 0.0282945 + 0.0480765i
\(375\) 33.9101 2.12492i 1.75111 0.109730i
\(376\) −28.9279 + 16.3016i −1.49184 + 0.840693i
\(377\) 0.0639245 + 0.305120i 0.00329228 + 0.0157145i
\(378\) 56.7581 + 43.2237i 2.91932 + 2.22319i
\(379\) −2.15930 0.271685i −0.110916 0.0139555i 0.0691835 0.997604i \(-0.477961\pi\)
−0.180099 + 0.983648i \(0.557642\pi\)
\(380\) −1.10397 1.93070i −0.0566326 0.0990426i
\(381\) −10.4724 + 29.2144i −0.536518 + 1.49670i
\(382\) −2.38137 + 1.72107i −0.121841 + 0.0880578i
\(383\) 18.4725 + 1.38986i 0.943900 + 0.0710184i 0.538042 0.842918i \(-0.319164\pi\)
0.405858 + 0.913936i \(0.366973\pi\)
\(384\) 11.6465 11.4299i 0.594333 0.583278i
\(385\) 9.81622 2.90658i 0.500281 0.148133i
\(386\) 5.46334 + 29.7721i 0.278077 + 1.51536i
\(387\) −84.6648 28.5676i −4.30375 1.45217i
\(388\) −2.33273 + 0.0584066i −0.118427 + 0.00296514i
\(389\) −2.49431 10.0160i −0.126467 0.507832i −0.999786 0.0206837i \(-0.993416\pi\)
0.873319 0.487148i \(-0.161963\pi\)
\(390\) 9.76404 + 19.8648i 0.494422 + 1.00589i
\(391\) −2.06011 + 2.23492i −0.104184 + 0.113025i
\(392\) 29.4367 + 5.59244i 1.48678 + 0.282461i
\(393\) −2.36207 + 8.56474i −0.119151 + 0.432034i
\(394\) −5.94079 6.28518i −0.299293 0.316643i
\(395\) 3.30866 1.25663i 0.166477 0.0632279i
\(396\) −7.76222 0.291600i −0.390066 0.0146534i
\(397\) −4.85461 + 1.30622i −0.243646 + 0.0655572i −0.379573 0.925162i \(-0.623929\pi\)
0.135928 + 0.990719i \(0.456599\pi\)
\(398\) −9.78603 + 8.05042i −0.490529 + 0.403531i
\(399\) 31.6141 32.6191i 1.58268 1.63300i
\(400\) 9.09179 1.84547i 0.454589 0.0922733i
\(401\) −16.1892 12.0116i −0.808450 0.599833i 0.110649 0.993860i \(-0.464707\pi\)
−0.919099 + 0.394027i \(0.871082\pi\)
\(402\) −26.8294 + 10.5759i −1.33813 + 0.527480i
\(403\) 10.3629 + 24.0546i 0.516213 + 1.19824i
\(404\) −0.630919 3.69830i −0.0313894 0.183997i
\(405\) 0.559801 + 29.8136i 0.0278167 + 1.48145i
\(406\) −0.0787492 0.333993i −0.00390826 0.0165758i
\(407\) 0.0779084 + 0.0519686i 0.00386177 + 0.00257599i
\(408\) −3.27074 + 2.90325i −0.161926 + 0.143732i
\(409\) −25.0861 28.6202i −1.24043 1.41518i −0.874848 0.484397i \(-0.839039\pi\)
−0.365577 0.930781i \(-0.619128\pi\)
\(410\) 6.82218 + 6.69529i 0.336924 + 0.330657i
\(411\) 29.0198 + 15.4094i 1.43144 + 0.760089i
\(412\) −0.0332301 + 5.30982i −0.00163713 + 0.261596i
\(413\) −4.81451 4.27356i −0.236906 0.210288i
\(414\) 15.7933 + 60.1954i 0.776198 + 2.95844i
\(415\) 7.00227 7.04623i 0.343728 0.345886i
\(416\) −7.25314 10.7275i −0.355615 0.525957i
\(417\) 57.3118 31.3581i 2.80657 1.53561i
\(418\) 1.30699 8.28556i 0.0639269 0.405260i
\(419\) −22.3325 + 3.95384i −1.09102 + 0.193158i −0.690644 0.723195i \(-0.742673\pi\)
−0.400372 + 0.916353i \(0.631119\pi\)
\(420\) 3.97093 + 7.59261i 0.193762 + 0.370481i
\(421\) −1.26301 + 0.670656i −0.0615556 + 0.0326858i −0.499473 0.866329i \(-0.666473\pi\)
0.437918 + 0.899015i \(0.355716\pi\)
\(422\) 5.83237 + 1.72697i 0.283916 + 0.0840674i
\(423\) 8.54928 80.0556i 0.415680 3.89244i
\(424\) 1.23916 + 21.9776i 0.0601791 + 1.06733i
\(425\) −1.50677 + 0.228028i −0.0730891 + 0.0110610i
\(426\) −0.427304 + 22.7572i −0.0207029 + 1.10259i
\(427\) −15.6032 + 3.37103i −0.755091 + 0.163136i
\(428\) 0.447983 1.79889i 0.0216541 0.0869527i
\(429\) 6.37912 28.6565i 0.307987 1.38355i
\(430\) 13.1484 + 12.5847i 0.634072 + 0.606886i
\(431\) −3.64819 10.5927i −0.175727 0.510234i 0.822564 0.568673i \(-0.192543\pi\)
−0.998291 + 0.0584393i \(0.981388\pi\)
\(432\) 5.99913 + 38.0310i 0.288633 + 1.82977i
\(433\) 10.3441 + 13.4081i 0.497105 + 0.644355i 0.971803 0.235795i \(-0.0757692\pi\)
−0.474697 + 0.880149i \(0.657443\pi\)
\(434\) −12.0661 26.1842i −0.579191 1.25688i
\(435\) 0.171894 0.217136i 0.00824167 0.0104109i
\(436\) 8.02539 4.92833i 0.384347 0.236024i
\(437\) 23.4094 3.24351i 1.11982 0.155158i
\(438\) −26.3108 35.9292i −1.25718 1.71676i
\(439\) 9.76208 13.6869i 0.465919 0.653242i −0.512786 0.858517i \(-0.671387\pi\)
0.978704 + 0.205275i \(0.0658088\pi\)
\(440\) 6.81286 + 3.50900i 0.324790 + 0.167285i
\(441\) −52.4846 + 50.2343i −2.49927 + 2.39211i
\(442\) −1.25933 2.07980i −0.0599003 0.0989258i
\(443\) −1.40843 + 1.49007i −0.0669163 + 0.0707956i −0.759333 0.650703i \(-0.774474\pi\)
0.692416 + 0.721498i \(0.256546\pi\)
\(444\) −0.0301085 + 0.0723678i −0.00142888 + 0.00343442i
\(445\) 12.8669 8.12496i 0.609948 0.385160i
\(446\) −23.1757 10.8561i −1.09740 0.514052i
\(447\) 8.99548 + 62.0635i 0.425472 + 2.93550i
\(448\) 21.0646 + 29.5336i 0.995208 + 1.39533i
\(449\) 3.82566 11.5766i 0.180544 0.546335i −0.819082 0.573676i \(-0.805517\pi\)
0.999626 + 0.0273409i \(0.00870397\pi\)
\(450\) −12.7026 + 28.4984i −0.598805 + 1.34343i
\(451\) −1.50393 12.5885i −0.0708171 0.592768i
\(452\) −7.92077 + 2.02526i −0.372562 + 0.0952600i
\(453\) −24.1124 6.81261i −1.13290 0.320084i
\(454\) 13.4079 + 10.4784i 0.629263 + 0.491775i
\(455\) −22.0391 + 6.82696i −1.03321 + 0.320053i
\(456\) 33.9798 1.27650i 1.59125 0.0597778i
\(457\) 7.48616 3.16970i 0.350188 0.148272i −0.207692 0.978194i \(-0.566595\pi\)
0.557880 + 0.829922i \(0.311615\pi\)
\(458\) 21.2837 3.49400i 0.994521 0.163264i
\(459\) −0.671580 6.28869i −0.0313467 0.293531i
\(460\) −0.804589 + 4.38455i −0.0375142 + 0.204431i
\(461\) −2.79400 + 5.03143i −0.130129 + 0.234337i −0.931426 0.363930i \(-0.881435\pi\)
0.801297 + 0.598267i \(0.204144\pi\)
\(462\) −6.23006 + 31.7094i −0.289849 + 1.47525i
\(463\) 4.68141 + 4.71080i 0.217563 + 0.218929i 0.809600 0.586982i \(-0.199684\pi\)
−0.592037 + 0.805911i \(0.701676\pi\)
\(464\) 0.0939288 0.159599i 0.00436053 0.00740920i
\(465\) 10.5244 20.7514i 0.488055 0.962324i
\(466\) −6.03665 7.62550i −0.279642 0.353245i
\(467\) −1.99555 0.729466i −0.0923431 0.0337556i 0.296740 0.954958i \(-0.404101\pi\)
−0.389083 + 0.921203i \(0.627208\pi\)
\(468\) 17.5006 + 0.438177i 0.808966 + 0.0202548i
\(469\) −6.53173 29.3420i −0.301607 1.35489i
\(470\) −8.49397 + 14.0279i −0.391798 + 0.647057i
\(471\) 10.3268 + 37.4444i 0.475834 + 1.72535i
\(472\) −0.391619 4.80302i −0.0180257 0.221077i
\(473\) −3.16334 23.9315i −0.145451 1.10037i
\(474\) −1.32527 + 11.0931i −0.0608719 + 0.509523i
\(475\) 10.1737 + 6.07357i 0.466802 + 0.278675i
\(476\) −0.507484 0.792632i −0.0232605 0.0363302i
\(477\) −45.1286 28.4971i −2.06630 1.30479i
\(478\) 25.9708 18.2793i 1.18788 0.836077i
\(479\) −7.77603 + 19.3703i −0.355296 + 0.885053i 0.638062 + 0.769985i \(0.279737\pi\)
−0.993358 + 0.115068i \(0.963291\pi\)
\(480\) −3.19697 + 11.0505i −0.145921 + 0.504384i
\(481\) −0.177035 0.114915i −0.00807208 0.00523968i
\(482\) −9.38968 23.3900i −0.427688 1.06538i
\(483\) −90.5925 + 9.10150i −4.12210 + 0.414133i
\(484\) 1.47594 + 3.31129i 0.0670881 + 0.150513i
\(485\) −4.79281 + 2.86125i −0.217630 + 0.129922i
\(486\) −37.4574 18.7032i −1.69910 0.848395i
\(487\) 5.57393 + 2.44276i 0.252579 + 0.110692i 0.523849 0.851811i \(-0.324496\pi\)
−0.271270 + 0.962503i \(0.587444\pi\)
\(488\) −10.1827 6.25314i −0.460951 0.283066i
\(489\) −59.0553 + 21.5874i −2.67057 + 0.976217i
\(490\) 14.0214 4.73108i 0.633420 0.213729i
\(491\) −6.65839 11.9904i −0.300489 0.541120i 0.681085 0.732205i \(-0.261509\pi\)
−0.981573 + 0.191085i \(0.938799\pi\)
\(492\) 10.0957 3.26631i 0.455147 0.147257i
\(493\) −0.0167219 + 0.0254117i −0.000753119 + 0.00114448i
\(494\) −2.71162 + 18.7086i −0.122002 + 0.841740i
\(495\) −16.5189 + 8.50814i −0.742468 + 0.382413i
\(496\) 5.06651 14.7109i 0.227493 0.660538i
\(497\) −23.3620 4.13610i −1.04793 0.185529i
\(498\) 9.46563 + 29.8942i 0.424165 + 1.33959i
\(499\) 2.98370 14.2416i 0.133569 0.637541i −0.858601 0.512644i \(-0.828666\pi\)
0.992170 0.124897i \(-0.0398599\pi\)
\(500\) −4.13858 + 3.58198i −0.185083 + 0.160191i
\(501\) 16.0659 + 19.7806i 0.717772 + 0.883733i
\(502\) 29.5120 1.31719
\(503\) −0.409076 + 22.4239i −0.0182398 + 0.999834i
\(504\) −93.3347 −4.15746
\(505\) −5.65807 6.96631i −0.251781 0.309997i
\(506\) −12.7123 + 11.0027i −0.565133 + 0.489128i
\(507\) −4.95675 + 23.6592i −0.220137 + 1.05074i
\(508\) −1.50918 4.76628i −0.0669591 0.211469i
\(509\) −23.8912 4.22979i −1.05896 0.187482i −0.382495 0.923958i \(-0.624935\pi\)
−0.676464 + 0.736475i \(0.736489\pi\)
\(510\) −0.703338 + 2.04218i −0.0311443 + 0.0904292i
\(511\) 41.2670 21.2548i 1.82554 0.940257i
\(512\) −3.46802 + 23.9273i −0.153266 + 1.05745i
\(513\) −27.0308 + 41.0775i −1.19344 + 1.81362i
\(514\) −26.7707 + 8.66131i −1.18081 + 0.382034i
\(515\) 6.16652 + 11.1047i 0.271729 + 0.489330i
\(516\) 19.1434 6.45937i 0.842741 0.284358i
\(517\) 20.4284 7.46753i 0.898441 0.328421i
\(518\) 0.197975 + 0.121575i 0.00869853 + 0.00534171i
\(519\) 13.5564 + 5.94105i 0.595058 + 0.260783i
\(520\) −15.4519 7.71546i −0.677613 0.338345i
\(521\) −14.8959 + 8.89266i −0.652601 + 0.389594i −0.800436 0.599418i \(-0.795399\pi\)
0.147835 + 0.989012i \(0.452769\pi\)
\(522\) 0.253563 + 0.568874i 0.0110982 + 0.0248989i
\(523\) 11.2518 1.13042i 0.492005 0.0494300i 0.149143 0.988816i \(-0.452349\pi\)
0.342862 + 0.939386i \(0.388604\pi\)
\(524\) −0.533197 1.32821i −0.0232928 0.0580231i
\(525\) −38.2891 24.8539i −1.67108 1.08471i
\(526\) −9.84302 + 34.0229i −0.429176 + 1.48347i
\(527\) −0.952143 + 2.37182i −0.0414760 + 0.103318i
\(528\) −14.2613 + 10.0377i −0.620646 + 0.436836i
\(529\) −20.6048 13.0112i −0.895862 0.565704i
\(530\) 5.86190 + 9.15562i 0.254625 + 0.397695i
\(531\) 10.0326 + 5.98931i 0.435376 + 0.259914i
\(532\) −0.868067 + 7.26608i −0.0376355 + 0.315024i
\(533\) 3.74423 + 28.3261i 0.162180 + 1.22694i
\(534\) 3.90365 + 47.8764i 0.168928 + 2.07182i
\(535\) −1.17900 4.27499i −0.0509726 0.184824i
\(536\) 11.6550 19.2484i 0.503421 0.831404i
\(537\) 15.5641 + 69.9173i 0.671639 + 3.01715i
\(538\) −1.13098 0.0283172i −0.0487598 0.00122084i
\(539\) −18.4340 6.73849i −0.794010 0.290247i
\(540\) −5.75708 7.27235i −0.247745 0.312952i
\(541\) 5.84793 11.5307i 0.251422 0.495742i −0.731009 0.682368i \(-0.760950\pi\)
0.982431 + 0.186626i \(0.0597551\pi\)
\(542\) 1.86217 3.16411i 0.0799872 0.135910i
\(543\) 9.38989 + 9.44884i 0.402959 + 0.405488i
\(544\) 0.243607 1.23989i 0.0104446 0.0531601i
\(545\) 10.9371 19.6955i 0.468494 0.843664i
\(546\) 13.1452 71.6337i 0.562562 3.06564i
\(547\) 4.03259 + 37.7612i 0.172421 + 1.61455i 0.666751 + 0.745280i \(0.267684\pi\)
−0.494330 + 0.869274i \(0.664587\pi\)
\(548\) −5.22318 + 0.857455i −0.223123 + 0.0366287i
\(549\) 26.6804 11.2967i 1.13869 0.482132i
\(550\) −8.42326 + 0.316433i −0.359169 + 0.0134927i
\(551\) 0.225929 0.0699848i 0.00962488 0.00298145i
\(552\) −53.7016 41.9683i −2.28569 1.78629i
\(553\) −11.2065 3.16624i −0.476549 0.134642i
\(554\) 25.3144 6.47261i 1.07550 0.274995i
\(555\) 0.0222418 + 0.186173i 0.000944113 + 0.00790261i
\(556\) −4.28460 + 9.61256i −0.181707 + 0.407664i
\(557\) 12.5971 38.1195i 0.533756 1.61517i −0.232471 0.972603i \(-0.574681\pi\)
0.766227 0.642570i \(-0.222132\pi\)
\(558\) 30.3855 + 42.6020i 1.28632 + 1.80349i
\(559\) 7.80373 + 53.8411i 0.330062 + 2.27724i
\(560\) 12.4116 + 5.81390i 0.524485 + 0.245682i
\(561\) 2.42223 1.52955i 0.102267 0.0645777i
\(562\) −11.1283 + 26.7476i −0.469419 + 1.12828i
\(563\) 7.35860 7.78519i 0.310128 0.328107i −0.552914 0.833238i \(-0.686484\pi\)
0.863042 + 0.505132i \(0.168556\pi\)
\(564\) 9.42895 + 15.5720i 0.397030 + 0.655698i
\(565\) −14.1284 + 13.5227i −0.594387 + 0.568903i
\(566\) −16.4521 8.47377i −0.691535 0.356179i
\(567\) 56.9718 79.8773i 2.39259 3.35453i
\(568\) −10.4929 14.3288i −0.440272 0.601222i
\(569\) 22.0000 3.04823i 0.922287 0.127788i 0.339679 0.940541i \(-0.389682\pi\)
0.582608 + 0.812753i \(0.302032\pi\)
\(570\) 14.3106 8.78804i 0.599406 0.368091i
\(571\) −9.04121 + 11.4209i −0.378363 + 0.477948i −0.935931 0.352183i \(-0.885440\pi\)
0.557568 + 0.830131i \(0.311734\pi\)
\(572\) 1.97933 + 4.29526i 0.0827599 + 0.179594i
\(573\) 4.76579 + 6.17747i 0.199094 + 0.258068i
\(574\) −4.90058 31.0669i −0.204546 1.29671i
\(575\) −7.73351 22.4547i −0.322510 0.936425i
\(576\) −47.5656 45.5262i −1.98190 1.89693i
\(577\) −5.33711 + 23.9755i −0.222187 + 0.998114i 0.727791 + 0.685799i \(0.240547\pi\)
−0.949978 + 0.312316i \(0.898895\pi\)
\(578\) −4.93978 + 19.8359i −0.205468 + 0.825064i
\(579\) 78.5650 16.9738i 3.26505 0.705406i
\(580\) −0.000837542 0.0446055i −3.47770e−5 0.00185214i
\(581\) −32.3173 + 4.89075i −1.34075 + 0.202902i
\(582\) −0.991883 17.5919i −0.0411149 0.729207i
\(583\) 1.53113 14.3375i 0.0634129 0.593799i
\(584\) 33.3178 + 9.86539i 1.37870 + 0.408233i
\(585\) 36.9858 19.6393i 1.52917 0.811985i
\(586\) −8.42900 16.1166i −0.348199 0.665772i
\(587\) −31.6471 + 5.60294i −1.30622 + 0.231258i −0.783577 0.621295i \(-0.786607\pi\)
−0.522640 + 0.852553i \(0.675053\pi\)
\(588\) 2.55958 16.2263i 0.105555 0.669161i
\(589\) 17.4328 9.53836i 0.718307 0.393021i
\(590\) −1.33305 1.97159i −0.0548808 0.0811691i
\(591\) −16.1881 + 16.2898i −0.665891 + 0.670072i
\(592\) 0.0318182 + 0.121273i 0.00130772 + 0.00498430i
\(593\) −22.4930 19.9657i −0.923676 0.819894i 0.0603029 0.998180i \(-0.480793\pi\)
−0.983979 + 0.178286i \(0.942945\pi\)
\(594\) 0.218921 34.9813i 0.00898245 1.43530i
\(595\) −1.98845 1.05586i −0.0815185 0.0432860i
\(596\) −7.21031 7.07620i −0.295346 0.289852i
\(597\) 22.1798 + 25.3046i 0.907760 + 1.03565i
\(598\) 28.3373 25.1534i 1.15880 1.02860i
\(599\) 0.428617 + 0.285908i 0.0175128 + 0.0116819i 0.563645 0.826017i \(-0.309398\pi\)
−0.546132 + 0.837699i \(0.683900\pi\)
\(600\) −7.84178 33.2588i −0.320139 1.35778i
\(601\) 0.533526 + 28.4143i 0.0217630 + 1.15904i 0.825622 + 0.564224i \(0.190825\pi\)
−0.803859 + 0.594820i \(0.797223\pi\)
\(602\) −10.0706 59.0319i −0.410449 2.40596i
\(603\) 21.5868 + 50.1077i 0.879082 + 2.04054i
\(604\) 3.75519 1.48027i 0.152797 0.0602311i
\(605\) 6.96458 + 5.16740i 0.283151 + 0.210085i
\(606\) 27.7629 5.63536i 1.12779 0.228921i
\(607\) 21.5058 22.1895i 0.872895 0.900645i −0.122885 0.992421i \(-0.539215\pi\)
0.995780 + 0.0917759i \(0.0292544\pi\)
\(608\) −7.58725 + 6.24161i −0.307704 + 0.253131i
\(609\) −0.879919 + 0.236758i −0.0356561 + 0.00959390i
\(610\) −5.89736 0.221544i −0.238777 0.00897004i
\(611\) −45.8254 + 17.4045i −1.85390 + 0.704111i
\(612\) 1.17342 + 1.24144i 0.0474326 + 0.0501824i
\(613\) −7.77708 + 28.1993i −0.314113 + 1.13896i 0.620767 + 0.783995i \(0.286821\pi\)
−0.934880 + 0.354963i \(0.884494\pi\)
\(614\) 24.9378 + 4.73773i 1.00641 + 0.191199i
\(615\) 17.2034 18.6632i 0.693707 0.752572i
\(616\) −11.1228 22.6291i −0.448150 0.911754i
\(617\) −4.91497 19.7363i −0.197869 0.794552i −0.984246 0.176804i \(-0.943424\pi\)
0.786377 0.617747i \(-0.211955\pi\)
\(618\) −40.0823 + 1.00357i −1.61235 + 0.0403697i
\(619\) −11.8465 3.99725i −0.476152 0.160663i 0.0713780 0.997449i \(-0.477260\pi\)
−0.547530 + 0.836786i \(0.684432\pi\)
\(620\) 0.676533 + 3.68672i 0.0271702 + 0.148062i
\(621\) 94.5052 27.9830i 3.79236 1.12292i
\(622\) −7.38764 + 7.25023i −0.296217 + 0.290708i
\(623\) −49.9289 3.75662i −2.00036 0.150506i
\(624\) 31.8552 23.0226i 1.27523 0.921640i
\(625\) 1.40381 3.91613i 0.0561522 0.156645i
\(626\) −0.715622 1.25152i −0.0286020 0.0500209i
\(627\) −22.0995 2.78058i −0.882570 0.111046i
\(628\) −4.97810 3.79104i −0.198648 0.151279i
\(629\) −0.00422315 0.0201577i −0.000168388 0.000803739i
\(630\) −40.1581 + 22.6301i −1.59994 + 0.901606i
\(631\) −7.64313 + 0.478944i −0.304268 + 0.0190665i −0.213944 0.976846i \(-0.568631\pi\)
−0.0903242 + 0.995912i \(0.528790\pi\)
\(632\) −4.42143 7.51267i −0.175875 0.298838i
\(633\) 4.09905 15.6233i 0.162923 0.620972i
\(634\) 9.07328 6.05231i 0.360346 0.240368i
\(635\) −8.74258 8.16054i −0.346939 0.323841i
\(636\) 12.0218 1.05598i 0.476694 0.0418724i
\(637\) 41.7317 + 14.6654i 1.65347 + 0.581064i
\(638\) −0.107707 + 0.129270i −0.00426415 + 0.00511785i
\(639\) 43.0584 0.538960i 1.70336 0.0213209i
\(640\) 2.26944 + 5.86450i 0.0897074 + 0.231815i
\(641\) −5.07444 + 10.3239i −0.200428 + 0.407768i −0.974197 0.225701i \(-0.927533\pi\)
0.773768 + 0.633469i \(0.218370\pi\)
\(642\) 13.6825 + 2.95607i 0.540005 + 0.116667i
\(643\) 9.04640 38.3679i 0.356755 1.51308i −0.433980 0.900923i \(-0.642891\pi\)
0.790735 0.612159i \(-0.209699\pi\)
\(644\) 10.7222 10.0083i 0.422512 0.394384i
\(645\) 32.3090 35.9430i 1.27217 1.41526i
\(646\) −1.48143 + 1.09915i −0.0582861 + 0.0432456i
\(647\) 20.8593 33.4958i 0.820065 1.31686i −0.125721 0.992066i \(-0.540124\pi\)
0.945786 0.324791i \(-0.105294\pi\)
\(648\) 72.1533 13.7078i 2.83445 0.538495i
\(649\) −0.256525 + 3.14616i −0.0100695 + 0.123498i
\(650\) 18.9731 0.950688i 0.744187 0.0372891i
\(651\) −68.4937 + 34.2003i −2.68448 + 1.34041i
\(652\) 5.46167 8.53051i 0.213896 0.334080i
\(653\) −35.4123 + 16.5880i −1.38579 + 0.649140i −0.966014 0.258488i \(-0.916776\pi\)
−0.419775 + 0.907628i \(0.637891\pi\)
\(654\) 39.0912 + 59.4053i 1.52859 + 2.32293i
\(655\) −2.67101 2.14181i −0.104365 0.0836873i
\(656\) 9.68212 13.9407i 0.378023 0.544292i
\(657\) −66.3837 + 51.8795i −2.58988 + 2.02401i
\(658\) 49.9468 20.4145i 1.94713 0.795841i
\(659\) 10.6275 + 9.67394i 0.413989 + 0.376843i 0.853238 0.521522i \(-0.174636\pi\)
−0.439248 + 0.898366i \(0.644755\pi\)
\(660\) 1.80597 3.79341i 0.0702971 0.147658i
\(661\) 2.55267 2.32363i 0.0992875 0.0903788i −0.621989 0.783026i \(-0.713675\pi\)
0.721277 + 0.692647i \(0.243556\pi\)
\(662\) 8.42631 + 27.8170i 0.327498 + 1.08114i
\(663\) −5.41543 + 3.51521i −0.210318 + 0.136520i
\(664\) −20.0080 14.0824i −0.776461 0.546505i
\(665\) 6.72413 + 16.1619i 0.260751 + 0.626732i
\(666\) −0.394199 0.149717i −0.0152749 0.00580142i
\(667\) −0.436551 0.184839i −0.0169033 0.00715700i
\(668\) −3.98963 0.967073i −0.154364 0.0374172i
\(669\) −26.8882 + 62.4133i −1.03956 + 2.41304i
\(670\) 0.347682 11.1077i 0.0134321 0.429128i
\(671\) 5.91844 + 5.12246i 0.228479 + 0.197750i
\(672\) 30.1127 22.9321i 1.16162 0.884626i
\(673\) −37.2448 + 21.6070i −1.43568 + 0.832888i −0.997810 0.0661502i \(-0.978928\pi\)
−0.437870 + 0.899038i \(0.644267\pi\)
\(674\) 12.5229 3.53816i 0.482362 0.136285i
\(675\) 45.7417 + 18.6958i 1.76060 + 0.719601i
\(676\) −1.67389 3.51599i −0.0643804 0.135230i
\(677\) 7.73664 25.5403i 0.297343 0.981592i −0.672956 0.739683i \(-0.734976\pi\)
0.970299 0.241909i \(-0.0777735\pi\)
\(678\) −17.1563 59.3015i −0.658882 2.27746i
\(679\) 18.2742 + 1.83594i 0.701298 + 0.0704569i
\(680\) −0.528808 1.60020i −0.0202789 0.0613649i
\(681\) 26.6971 36.4567i 1.02304 1.39703i
\(682\) −6.70785 + 12.4439i −0.256857 + 0.476503i
\(683\) −0.487637 + 11.1244i −0.0186589 + 0.425662i 0.966778 + 0.255619i \(0.0822791\pi\)
−0.985437 + 0.170043i \(0.945609\pi\)
\(684\) −0.913594 13.2504i −0.0349322 0.506640i
\(685\) −9.87811 + 7.92097i −0.377423 + 0.302645i
\(686\) −13.1460 4.25322i −0.501918 0.162389i
\(687\) −11.0417 56.1993i −0.421267 2.14414i
\(688\) 18.1017 26.7726i 0.690120 1.02069i
\(689\) −3.04602 + 32.3532i −0.116044 + 1.23256i
\(690\) −33.2813 5.03664i −1.26700 0.191742i
\(691\) −1.87703 + 11.0027i −0.0714056 + 0.418564i 0.927584 + 0.373615i \(0.121882\pi\)
−0.998989 + 0.0449483i \(0.985688\pi\)
\(692\) −2.31726 + 0.561695i −0.0880888 + 0.0213524i
\(693\) 60.3302 + 9.90401i 2.29176 + 0.376222i
\(694\) 1.80811 32.0684i 0.0686350 1.21730i
\(695\) 2.35978 + 25.0643i 0.0895116 + 0.950744i
\(696\) −0.598388 0.327408i −0.0226818 0.0124104i
\(697\) −1.70305 + 2.20751i −0.0645075 + 0.0836155i
\(698\) −38.3235 8.78315i −1.45057 0.332447i
\(699\) −19.7376 + 16.6556i −0.746543 + 0.629971i
\(700\) 7.33295 0.551727i 0.277160 0.0208533i
\(701\) 5.56598 6.35012i 0.210224 0.239841i −0.637276 0.770635i \(-0.719939\pi\)
0.847501 + 0.530794i \(0.178106\pi\)
\(702\) 0.493384 + 78.8376i 0.0186216 + 2.97553i
\(703\) −0.0742119 + 0.141897i −0.00279896 + 0.00535173i
\(704\) 5.36945 16.9577i 0.202369 0.639119i
\(705\) 37.9374 + 21.3787i 1.42880 + 0.805169i
\(706\) −25.1011 12.1434i −0.944693 0.457023i
\(707\) 1.29317 + 29.5007i 0.0486346 + 1.10949i
\(708\) −2.62519 + 0.296976i −0.0986605 + 0.0111610i
\(709\) 26.3203 + 21.6522i 0.988478 + 0.813166i 0.982395 0.186816i \(-0.0598167\pi\)
0.00608306 + 0.999981i \(0.498064\pi\)
\(710\) −7.98885 3.62095i −0.299816 0.135892i
\(711\) 21.0552 + 1.84946i 0.789630 + 0.0693603i
\(712\) −25.0562 27.8744i −0.939020 1.04464i
\(713\) −39.0339 7.92317i −1.46183 0.296725i
\(714\) 5.86229 4.01735i 0.219391 0.150346i
\(715\) 9.16921 + 6.62682i 0.342909 + 0.247829i
\(716\) −8.81868 7.44165i −0.329570 0.278107i
\(717\) −50.6733 67.4114i −1.89243 2.51752i
\(718\) −19.8609 + 2.49891i −0.741201 + 0.0932584i
\(719\) −2.35273 1.36490i −0.0877420 0.0509022i 0.457289 0.889318i \(-0.348821\pi\)
−0.545031 + 0.838416i \(0.683482\pi\)
\(720\) −24.1009 6.16234i −0.898187 0.229657i
\(721\) 5.47672 41.4328i 0.203964 1.54304i
\(722\) −8.75830 0.438853i −0.325950 0.0163324i
\(723\) −61.2999 + 26.8646i −2.27977 + 0.999104i
\(724\) −2.12564 0.294519i −0.0789986 0.0109457i
\(725\) −0.112779 0.209220i −0.00418852 0.00777025i
\(726\) −24.6424 + 11.9215i −0.914566 + 0.442448i
\(727\) 20.3811 + 1.27715i 0.755894 + 0.0473669i 0.435830 0.900029i \(-0.356455\pi\)
0.320064 + 0.947396i \(0.396295\pi\)
\(728\) 25.7038 + 50.6816i 0.952648 + 1.87839i
\(729\) −16.4508 + 35.6992i −0.609289 + 1.32219i
\(730\) 16.7272 3.83362i 0.619103 0.141889i
\(731\) −3.18985 + 4.24350i −0.117981 + 0.156951i
\(732\) −3.25187 + 5.68706i −0.120193 + 0.210200i
\(733\) −20.2544 23.6998i −0.748112 0.875372i 0.247506 0.968886i \(-0.420389\pi\)
−0.995618 + 0.0935147i \(0.970190\pi\)
\(734\) −17.2945 20.7569i −0.638352 0.766152i
\(735\) −13.7218 36.8214i −0.506135 1.35818i
\(736\) 19.6906 + 0.246466i 0.725805 + 0.00908487i
\(737\) −9.57615 + 11.2051i −0.352742 + 0.412746i
\(738\) 19.2626 + 53.7359i 0.709066 + 1.97805i
\(739\) 14.6229 + 10.0209i 0.537912 + 0.368624i 0.803353 0.595504i \(-0.203047\pi\)
−0.265441 + 0.964127i \(0.585518\pi\)
\(740\) −0.0210212 0.0216894i −0.000772753 0.000797320i
\(741\) 49.8803 + 5.64274i 1.83240 + 0.207291i
\(742\) 2.46046 35.6854i 0.0903263 1.31005i
\(743\) −5.81221 8.36863i −0.213229 0.307015i 0.700252 0.713896i \(-0.253071\pi\)
−0.913482 + 0.406880i \(0.866617\pi\)
\(744\) −54.7420 16.9572i −2.00694 0.621680i
\(745\) −23.3364 6.27908i −0.854981 0.230048i
\(746\) 1.57539 0.714046i 0.0576790 0.0261431i
\(747\) 55.9689 19.6686i 2.04779 0.719638i
\(748\) −0.161152 + 0.432441i −0.00589230 + 0.0158116i
\(749\) −5.26591 + 13.6077i −0.192412 + 0.497216i
\(750\) −28.0117 30.3886i −1.02284 1.10964i
\(751\) 1.66500 + 2.67365i 0.0607566 + 0.0975627i 0.877833 0.478966i \(-0.158988\pi\)
−0.817077 + 0.576529i \(0.804407\pi\)
\(752\) 27.0904 + 10.6788i 0.987886 + 0.389416i
\(753\) −2.45176 78.3287i −0.0893473 2.85446i
\(754\) 0.239074 0.294352i 0.00870656 0.0107197i
\(755\) 6.08740 7.49491i 0.221543 0.272768i
\(756\) 0.954791 + 30.5036i 0.0347254 + 1.10940i
\(757\) 43.7354 + 17.2401i 1.58959 + 0.626602i 0.985402 0.170241i \(-0.0544546\pi\)
0.604186 + 0.796843i \(0.293498\pi\)
\(758\) 1.39942 + 2.24718i 0.0508292 + 0.0816213i
\(759\) 30.2586 + 32.8261i 1.09832 + 1.19151i
\(760\) −4.72905 + 12.2204i −0.171541 + 0.443282i
\(761\) 5.57576 14.9622i 0.202121 0.542379i −0.795888 0.605444i \(-0.792996\pi\)
0.998009 + 0.0630645i \(0.0200874\pi\)
\(762\) 35.6157 12.5161i 1.29022 0.453411i
\(763\) −67.5143 + 30.6009i −2.44418 + 1.10783i
\(764\) −1.21372 0.326571i −0.0439107 0.0118149i
\(765\) 3.90333 + 1.20912i 0.141125 + 0.0437157i
\(766\) −12.8541 18.5078i −0.464436 0.668713i
\(767\) 0.489342 7.09720i 0.0176691 0.256265i
\(768\) 37.1343 + 4.20084i 1.33997 + 0.151585i
\(769\) −4.26543 4.40103i −0.153815 0.158705i 0.636777 0.771048i \(-0.280267\pi\)
−0.790592 + 0.612343i \(0.790227\pi\)
\(770\) −10.2724 7.03953i −0.370191 0.253687i
\(771\) 25.2123 + 70.3334i 0.907997 + 2.53300i
\(772\) −8.41237 + 9.84338i −0.302768 + 0.354271i