Properties

Label 503.2.c.a.2.5
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

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 2.5
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.47995 - 1.82214i) q^{2} +(1.66985 - 1.44527i) q^{3} +(-0.719831 + 3.43585i) q^{4} +(0.408432 + 1.28990i) q^{5} +(-5.10478 - 0.903771i) q^{6} +(0.254080 - 0.737735i) q^{7} +(3.15213 - 1.62353i) q^{8} +(0.269269 - 1.85780i) q^{9} +O(q^{10})\) \(q+(-1.47995 - 1.82214i) q^{2} +(1.66985 - 1.44527i) q^{3} +(-0.719831 + 3.43585i) q^{4} +(0.408432 + 1.28990i) q^{5} +(-5.10478 - 0.903771i) q^{6} +(0.254080 - 0.737735i) q^{7} +(3.15213 - 1.62353i) q^{8} +(0.269269 - 1.85780i) q^{9} +(1.74593 - 2.65321i) q^{10} +(4.53328 - 1.46668i) q^{11} +(3.76373 + 6.77771i) q^{12} +(1.71146 - 0.577482i) q^{13} +(-1.72028 + 0.628842i) q^{14} +(2.54628 + 1.56365i) q^{15} +(-1.19282 - 0.522750i) q^{16} +(-4.79680 - 2.39514i) q^{17} +(-3.78367 + 2.25880i) q^{18} +(-2.36419 - 5.30410i) q^{19} +(-4.72592 + 0.474797i) q^{20} +(-0.641952 - 1.59912i) q^{21} +(-9.38152 - 6.08965i) q^{22} +(0.150566 - 0.520438i) q^{23} +(2.91716 - 7.26673i) q^{24} +(2.59173 - 1.82417i) q^{25} +(-3.58514 - 2.26388i) q^{26} +(1.33702 + 2.08827i) q^{27} +(2.35185 + 1.40403i) q^{28} +(0.808959 - 6.77132i) q^{29} +(-0.919176 - 6.95381i) q^{30} +(0.360096 + 4.41640i) q^{31} +(-1.07255 - 3.88900i) q^{32} +(5.45015 - 9.00096i) q^{33} +(2.73475 + 12.2851i) q^{34} +(1.05538 + 0.0264245i) q^{35} +(6.18929 + 2.26247i) q^{36} +(1.88535 + 2.38158i) q^{37} +(-6.16592 + 12.1577i) q^{38} +(2.02327 - 3.43784i) q^{39} +(3.38162 + 3.40285i) q^{40} +(1.08316 - 5.51299i) q^{41} +(-1.96377 + 3.53635i) q^{42} +(-0.402936 + 2.19577i) q^{43} +(1.77610 + 16.6314i) q^{44} +(2.50636 - 0.411453i) q^{45} +(-1.17114 + 0.495871i) q^{46} +(-5.94387 + 0.223291i) q^{47} +(-2.74734 + 0.851031i) q^{48} +(5.03578 + 3.93551i) q^{49} +(-7.15952 - 2.02282i) q^{50} +(-11.4716 + 2.93316i) q^{51} +(0.752177 + 6.29603i) q^{52} +(-0.719928 + 1.61517i) q^{53} +(1.82640 - 5.52677i) q^{54} +(3.74341 + 5.24846i) q^{55} +(-0.396837 - 2.73794i) q^{56} +(-11.6137 - 5.44016i) q^{57} +(-13.5355 + 8.54718i) q^{58} +(-0.332450 + 0.799067i) q^{59} +(-7.20538 + 7.62308i) q^{60} +(1.98088 + 3.27144i) q^{61} +(7.51438 - 7.19220i) q^{62} +(-1.30215 - 0.670678i) q^{63} +(-7.01146 + 9.83042i) q^{64} +(1.44391 + 1.97176i) q^{65} +(-24.4669 + 3.39004i) q^{66} +(-6.84375 + 4.20269i) q^{67} +(11.6822 - 14.7570i) q^{68} +(-0.500752 - 1.08666i) q^{69} +(-1.51376 - 1.96216i) q^{70} +(-0.220285 - 1.39648i) q^{71} +(-2.16741 - 6.29320i) q^{72} +(3.05141 + 2.92058i) q^{73} +(1.54934 - 6.96000i) q^{74} +(1.69139 - 6.79184i) q^{75} +(19.9259 - 4.30494i) q^{76} +(0.0697931 - 3.71701i) q^{77} +(-9.25857 + 1.40115i) q^{78} +(0.805597 + 14.2879i) q^{79} +(0.187113 - 1.75213i) q^{80} +(10.6506 + 3.15365i) q^{81} +(-11.6485 + 6.18529i) q^{82} +(0.0135341 + 0.0258779i) q^{83} +(5.95644 - 1.05455i) q^{84} +(1.13033 - 7.16567i) q^{85} +(4.59733 - 2.51543i) q^{86} +(-8.43555 - 12.4763i) q^{87} +(11.9083 - 11.9831i) q^{88} +(2.18399 + 8.32418i) q^{89} +(-4.45901 - 3.95801i) q^{90} +(0.00881994 - 1.40933i) q^{91} +(1.67977 + 0.891949i) q^{92} +(6.98420 + 6.85430i) q^{93} +(9.20350 + 10.5001i) q^{94} +(5.87617 - 5.21594i) q^{95} +(-7.41166 - 4.94393i) q^{96} +(-3.37861 - 14.3295i) q^{97} +(-0.281655 - 15.0003i) q^{98} +(-1.50413 - 8.81685i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.47995 1.82214i −1.04648 1.28845i −0.956258 0.292526i \(-0.905504\pi\)
−0.0902253 0.995921i \(-0.528759\pi\)
\(3\) 1.66985 1.44527i 0.964089 0.834428i −0.0221500 0.999755i \(-0.507051\pi\)
0.986239 + 0.165327i \(0.0528679\pi\)
\(4\) −0.719831 + 3.43585i −0.359916 + 1.71793i
\(5\) 0.408432 + 1.28990i 0.182656 + 0.576863i 1.00000 0.000712307i \(0.000226734\pi\)
−0.817344 + 0.576151i \(0.804554\pi\)
\(6\) −5.10478 0.903771i −2.08402 0.368963i
\(7\) 0.254080 0.737735i 0.0960332 0.278838i −0.887144 0.461493i \(-0.847314\pi\)
0.983177 + 0.182656i \(0.0584693\pi\)
\(8\) 3.15213 1.62353i 1.11445 0.574003i
\(9\) 0.269269 1.85780i 0.0897564 0.619266i
\(10\) 1.74593 2.65321i 0.552111 0.839020i
\(11\) 4.53328 1.46668i 1.36683 0.442221i 0.469251 0.883065i \(-0.344524\pi\)
0.897584 + 0.440844i \(0.145321\pi\)
\(12\) 3.76373 + 6.77771i 1.08649 + 1.95656i
\(13\) 1.71146 0.577482i 0.474675 0.160165i −0.0721809 0.997392i \(-0.522996\pi\)
0.546856 + 0.837227i \(0.315825\pi\)
\(14\) −1.72028 + 0.628842i −0.459765 + 0.168065i
\(15\) 2.54628 + 1.56365i 0.657447 + 0.403734i
\(16\) −1.19282 0.522750i −0.298204 0.130687i
\(17\) −4.79680 2.39514i −1.16340 0.580906i −0.242284 0.970205i \(-0.577897\pi\)
−0.921111 + 0.389299i \(0.872717\pi\)
\(18\) −3.78367 + 2.25880i −0.891820 + 0.532405i
\(19\) −2.36419 5.30410i −0.542382 1.21684i −0.952424 0.304777i \(-0.901418\pi\)
0.410042 0.912067i \(-0.365514\pi\)
\(20\) −4.72592 + 0.474797i −1.05675 + 0.106168i
\(21\) −0.641952 1.59912i −0.140085 0.348957i
\(22\) −9.38152 6.08965i −2.00015 1.29832i
\(23\) 0.150566 0.520438i 0.0313951 0.108519i −0.943376 0.331725i \(-0.892369\pi\)
0.974771 + 0.223206i \(0.0716523\pi\)
\(24\) 2.91716 7.26673i 0.595463 1.48332i
\(25\) 2.59173 1.82417i 0.518346 0.364833i
\(26\) −3.58514 2.26388i −0.703103 0.443984i
\(27\) 1.33702 + 2.08827i 0.257309 + 0.401887i
\(28\) 2.35185 + 1.40403i 0.444458 + 0.265336i
\(29\) 0.808959 6.77132i 0.150220 1.25740i −0.693436 0.720518i \(-0.743904\pi\)
0.843656 0.536884i \(-0.180399\pi\)
\(30\) −0.919176 6.95381i −0.167818 1.26959i
\(31\) 0.360096 + 4.41640i 0.0646751 + 0.793209i 0.946723 + 0.322049i \(0.104372\pi\)
−0.882048 + 0.471160i \(0.843835\pi\)
\(32\) −1.07255 3.88900i −0.189602 0.687485i
\(33\) 5.45015 9.00096i 0.948749 1.56687i
\(34\) 2.73475 + 12.2851i 0.469006 + 2.10688i
\(35\) 1.05538 + 0.0264245i 0.178392 + 0.00446655i
\(36\) 6.18929 + 2.26247i 1.03155 + 0.377078i
\(37\) 1.88535 + 2.38158i 0.309950 + 0.391529i 0.914199 0.405267i \(-0.132821\pi\)
−0.604248 + 0.796796i \(0.706527\pi\)
\(38\) −6.16592 + 12.1577i −1.00024 + 1.97224i
\(39\) 2.02327 3.43784i 0.323983 0.550495i
\(40\) 3.38162 + 3.40285i 0.534682 + 0.538038i
\(41\) 1.08316 5.51299i 0.169161 0.860985i −0.797184 0.603736i \(-0.793678\pi\)
0.966345 0.257249i \(-0.0828160\pi\)
\(42\) −1.96377 + 3.53635i −0.303016 + 0.545670i
\(43\) −0.402936 + 2.19577i −0.0614472 + 0.334852i −0.999946 0.0104316i \(-0.996679\pi\)
0.938498 + 0.345284i \(0.112217\pi\)
\(44\) 1.77610 + 16.6314i 0.267757 + 2.50728i
\(45\) 2.50636 0.411453i 0.373626 0.0613357i
\(46\) −1.17114 + 0.495871i −0.172675 + 0.0731121i
\(47\) −5.94387 + 0.223291i −0.867002 + 0.0325703i −0.467325 0.884086i \(-0.654782\pi\)
−0.399677 + 0.916656i \(0.630878\pi\)
\(48\) −2.74734 + 0.851031i −0.396545 + 0.122836i
\(49\) 5.03578 + 3.93551i 0.719397 + 0.562216i
\(50\) −7.15952 2.02282i −1.01251 0.286070i
\(51\) −11.4716 + 2.93316i −1.60634 + 0.410724i
\(52\) 0.752177 + 6.29603i 0.104308 + 0.873102i
\(53\) −0.719928 + 1.61517i −0.0988898 + 0.221861i −0.956059 0.293174i \(-0.905289\pi\)
0.857169 + 0.515034i \(0.172221\pi\)
\(54\) 1.82640 5.52677i 0.248541 0.752097i
\(55\) 3.74341 + 5.24846i 0.504762 + 0.707702i
\(56\) −0.396837 2.73794i −0.0530296 0.365873i
\(57\) −11.6137 5.44016i −1.53827 0.720566i
\(58\) −13.5355 + 8.54718i −1.77730 + 1.12230i
\(59\) −0.332450 + 0.799067i −0.0432813 + 0.104030i −0.943454 0.331503i \(-0.892444\pi\)
0.900173 + 0.435533i \(0.143440\pi\)
\(60\) −7.20538 + 7.62308i −0.930210 + 0.984135i
\(61\) 1.98088 + 3.27144i 0.253626 + 0.418865i 0.956186 0.292759i \(-0.0945734\pi\)
−0.702560 + 0.711624i \(0.747960\pi\)
\(62\) 7.51438 7.19220i 0.954327 0.913410i
\(63\) −1.30215 0.670678i −0.164055 0.0844975i
\(64\) −7.01146 + 9.83042i −0.876432 + 1.22880i
\(65\) 1.44391 + 1.97176i 0.179095 + 0.244567i
\(66\) −24.4669 + 3.39004i −3.01167 + 0.417285i
\(67\) −6.84375 + 4.20269i −0.836097 + 0.513441i −0.874049 0.485839i \(-0.838514\pi\)
0.0379519 + 0.999280i \(0.487917\pi\)
\(68\) 11.6822 14.7570i 1.41668 1.78955i
\(69\) −0.500752 1.08666i −0.0602835 0.130819i
\(70\) −1.51376 1.96216i −0.180929 0.234523i
\(71\) −0.220285 1.39648i −0.0261430 0.165732i 0.971233 0.238133i \(-0.0765354\pi\)
−0.997376 + 0.0724012i \(0.976934\pi\)
\(72\) −2.16741 6.29320i −0.255432 0.741660i
\(73\) 3.05141 + 2.92058i 0.357140 + 0.341828i 0.848564 0.529093i \(-0.177468\pi\)
−0.491424 + 0.870921i \(0.663523\pi\)
\(74\) 1.54934 6.96000i 0.180107 0.809083i
\(75\) 1.69139 6.79184i 0.195305 0.784254i
\(76\) 19.9259 4.30494i 2.28566 0.493811i
\(77\) 0.0697931 3.71701i 0.00795366 0.423593i
\(78\) −9.25857 + 1.40115i −1.04833 + 0.158649i
\(79\) 0.805597 + 14.2879i 0.0906368 + 1.60752i 0.637604 + 0.770365i \(0.279926\pi\)
−0.546967 + 0.837154i \(0.684218\pi\)
\(80\) 0.187113 1.75213i 0.0209199 0.195894i
\(81\) 10.6506 + 3.15365i 1.18340 + 0.350406i
\(82\) −11.6485 + 6.18529i −1.28636 + 0.683051i
\(83\) 0.0135341 + 0.0258779i 0.00148556 + 0.00284046i 0.886868 0.462023i \(-0.152876\pi\)
−0.885382 + 0.464864i \(0.846103\pi\)
\(84\) 5.95644 1.05455i 0.649901 0.115061i
\(85\) 1.13033 7.16567i 0.122602 0.777226i
\(86\) 4.59733 2.51543i 0.495743 0.271245i
\(87\) −8.43555 12.4763i −0.904386 1.33760i
\(88\) 11.9083 11.9831i 1.26943 1.27740i
\(89\) 2.18399 + 8.32418i 0.231503 + 0.882362i 0.976540 + 0.215338i \(0.0690853\pi\)
−0.745037 + 0.667024i \(0.767568\pi\)
\(90\) −4.45901 3.95801i −0.470021 0.417211i
\(91\) 0.00881994 1.40933i 0.000924581 0.147738i
\(92\) 1.67977 + 0.891949i 0.175128 + 0.0929921i
\(93\) 6.98420 + 6.85430i 0.724228 + 0.710757i
\(94\) 9.20350 + 10.5001i 0.949268 + 1.08300i
\(95\) 5.87617 5.21594i 0.602882 0.535144i
\(96\) −7.41166 4.94393i −0.756450 0.504588i
\(97\) −3.37861 14.3295i −0.343046 1.45494i −0.818150 0.575006i \(-0.805000\pi\)
0.475104 0.879930i \(-0.342410\pi\)
\(98\) −0.281655 15.0003i −0.0284514 1.51525i
\(99\) −1.50413 8.81685i −0.151170 0.886127i
\(100\) 4.40195 + 10.2179i 0.440195 + 1.02179i
\(101\) −10.8442 + 4.27469i −1.07904 + 0.425348i −0.838281 0.545238i \(-0.816439\pi\)
−0.240756 + 0.970586i \(0.577396\pi\)
\(102\) 22.3220 + 16.5619i 2.21020 + 1.63987i
\(103\) 13.0360 2.64607i 1.28448 0.260725i 0.491983 0.870605i \(-0.336272\pi\)
0.792494 + 0.609880i \(0.208782\pi\)
\(104\) 4.45721 4.59891i 0.437065 0.450960i
\(105\) 1.80052 1.48119i 0.175713 0.144549i
\(106\) 4.00853 1.07856i 0.389343 0.104759i
\(107\) −14.1312 0.530861i −1.36612 0.0513203i −0.655657 0.755059i \(-0.727608\pi\)
−0.710459 + 0.703739i \(0.751513\pi\)
\(108\) −8.13740 + 3.09059i −0.783022 + 0.297392i
\(109\) 8.64824 + 9.14959i 0.828351 + 0.876372i 0.993951 0.109821i \(-0.0350278\pi\)
−0.165600 + 0.986193i \(0.552956\pi\)
\(110\) 4.02336 14.5885i 0.383612 1.39096i
\(111\) 6.59029 + 1.25204i 0.625523 + 0.118838i
\(112\) −0.688722 + 0.747163i −0.0650781 + 0.0706003i
\(113\) −4.71910 9.60093i −0.443936 0.903180i −0.997520 0.0703863i \(-0.977577\pi\)
0.553584 0.832793i \(-0.313260\pi\)
\(114\) 7.27498 + 29.2129i 0.681364 + 2.73604i
\(115\) 0.732811 0.0183480i 0.0683350 0.00171096i
\(116\) 22.6829 + 7.65367i 2.10606 + 0.710626i
\(117\) −0.612001 3.33506i −0.0565795 0.308326i
\(118\) 1.94802 0.576809i 0.179330 0.0530996i
\(119\) −2.98575 + 2.93021i −0.273703 + 0.268612i
\(120\) 10.5649 + 0.794893i 0.964435 + 0.0725634i
\(121\) 9.48411 6.85440i 0.862192 0.623128i
\(122\) 3.02942 8.45102i 0.274270 0.765119i
\(123\) −6.15906 10.7713i −0.555344 0.971219i
\(124\) −15.4333 1.94183i −1.38595 0.174382i
\(125\) 8.79367 + 6.69676i 0.786530 + 0.598976i
\(126\) 0.705043 + 3.36526i 0.0628102 + 0.299802i
\(127\) −9.18635 + 5.17675i −0.815157 + 0.459362i −0.841478 0.540291i \(-0.818314\pi\)
0.0263211 + 0.999654i \(0.491621\pi\)
\(128\) 20.2364 1.26808i 1.78866 0.112084i
\(129\) 2.50064 + 4.24896i 0.220169 + 0.374100i
\(130\) 1.45591 5.54913i 0.127692 0.486691i
\(131\) 15.1423 10.1006i 1.32299 0.882494i 0.324986 0.945719i \(-0.394640\pi\)
0.997999 + 0.0632244i \(0.0201384\pi\)
\(132\) 27.0028 + 25.2051i 2.35029 + 2.19382i
\(133\) −4.51371 + 0.396480i −0.391388 + 0.0343792i
\(134\) 17.7863 + 6.25048i 1.53650 + 0.539959i
\(135\) −2.14759 + 2.57754i −0.184835 + 0.221839i
\(136\) −19.0087 + 0.237932i −1.62999 + 0.0204025i
\(137\) 3.93642 + 10.1722i 0.336311 + 0.869069i 0.993342 + 0.115205i \(0.0367526\pi\)
−0.657030 + 0.753864i \(0.728188\pi\)
\(138\) −1.23896 + 2.52065i −0.105467 + 0.214572i
\(139\) −8.87096 1.91655i −0.752425 0.162560i −0.181306 0.983427i \(-0.558032\pi\)
−0.571119 + 0.820867i \(0.693491\pi\)
\(140\) −0.850488 + 3.60711i −0.0718793 + 0.304857i
\(141\) −9.60266 + 8.96336i −0.808690 + 0.754851i
\(142\) −2.21857 + 2.46811i −0.186178 + 0.207119i
\(143\) 6.91156 5.12806i 0.577974 0.428830i
\(144\) −1.29235 + 2.07525i −0.107696 + 0.172938i
\(145\) 9.06476 1.72214i 0.752788 0.143016i
\(146\) 0.805771 9.88240i 0.0666861 0.817873i
\(147\) 14.0969 0.706354i 1.16269 0.0582591i
\(148\) −9.53989 + 4.76346i −0.784174 + 0.391554i
\(149\) 3.98257 6.22032i 0.326265 0.509589i −0.639575 0.768729i \(-0.720889\pi\)
0.965840 + 0.259141i \(0.0834393\pi\)
\(150\) −14.8788 + 6.96964i −1.21485 + 0.569068i
\(151\) 9.59100 + 14.5750i 0.780504 + 1.18610i 0.978571 + 0.205912i \(0.0660159\pi\)
−0.198066 + 0.980189i \(0.563466\pi\)
\(152\) −16.0636 12.8809i −1.30293 1.04478i
\(153\) −5.74132 + 8.26656i −0.464158 + 0.668311i
\(154\) −6.87620 + 5.37382i −0.554100 + 0.433035i
\(155\) −5.54966 + 2.26829i −0.445760 + 0.182193i
\(156\) 10.3555 + 9.42633i 0.829103 + 0.754710i
\(157\) 4.04352 8.49338i 0.322708 0.677845i −0.675520 0.737341i \(-0.736081\pi\)
0.998229 + 0.0594962i \(0.0189494\pi\)
\(158\) 24.8424 22.6134i 1.97635 1.79902i
\(159\) 1.13219 + 3.73759i 0.0897884 + 0.296410i
\(160\) 4.57838 2.97188i 0.361953 0.234948i
\(161\) −0.345690 0.243310i −0.0272442 0.0191755i
\(162\) −10.0160 24.0742i −0.786931 1.89145i
\(163\) −3.17010 1.20401i −0.248301 0.0943051i 0.227759 0.973717i \(-0.426860\pi\)
−0.476061 + 0.879412i \(0.657936\pi\)
\(164\) 18.1621 + 7.69000i 1.41822 + 0.600488i
\(165\) 13.8364 + 3.35389i 1.07716 + 0.261100i
\(166\) 0.0271233 0.0629590i 0.00210517 0.00488657i
\(167\) 0.240486 7.68301i 0.0186093 0.594529i −0.944978 0.327134i \(-0.893917\pi\)
0.963587 0.267394i \(-0.0861627\pi\)
\(168\) −4.61973 3.99842i −0.356420 0.308485i
\(169\) −7.74679 + 5.89951i −0.595907 + 0.453809i
\(170\) −14.7297 + 8.54521i −1.12972 + 0.655388i
\(171\) −10.4905 + 2.96396i −0.802232 + 0.226659i
\(172\) −7.25430 2.96501i −0.553135 0.226080i
\(173\) 6.38328 + 13.4080i 0.485311 + 1.01939i 0.987933 + 0.154885i \(0.0495006\pi\)
−0.502621 + 0.864507i \(0.667631\pi\)
\(174\) −10.2493 + 33.8350i −0.776996 + 2.56502i
\(175\) −0.687244 2.37549i −0.0519507 0.179570i
\(176\) −6.17408 0.620288i −0.465389 0.0467560i
\(177\) 0.599727 + 1.81480i 0.0450782 + 0.136409i
\(178\) 11.9356 16.2989i 0.894613 1.22166i
\(179\) −2.76031 + 5.12073i −0.206315 + 0.382741i −0.962360 0.271779i \(-0.912388\pi\)
0.756045 + 0.654520i \(0.227129\pi\)
\(180\) −0.390468 + 8.90766i −0.0291038 + 0.663938i
\(181\) −0.0961710 1.39482i −0.00714834 0.103676i 0.992710 0.120531i \(-0.0384596\pi\)
−0.999858 + 0.0168543i \(0.994635\pi\)
\(182\) −2.58106 + 2.06967i −0.191321 + 0.153414i
\(183\) 8.03590 + 2.59991i 0.594031 + 0.192191i
\(184\) −0.370341 1.88494i −0.0273019 0.138959i
\(185\) −2.30197 + 3.40464i −0.169244 + 0.250314i
\(186\) 2.15321 22.8702i 0.157881 1.67693i
\(187\) −25.2581 3.82245i −1.84706 0.279525i
\(188\) 3.51139 20.5830i 0.256094 1.50117i
\(189\) 1.88030 0.455778i 0.136771 0.0331529i
\(190\) −18.2006 2.98787i −1.32041 0.216763i
\(191\) 0.312282 5.53859i 0.0225960 0.400758i −0.966802 0.255527i \(-0.917751\pi\)
0.989398 0.145231i \(-0.0463925\pi\)
\(192\) 2.49954 + 26.5488i 0.180389 + 1.91599i
\(193\) −11.4730 6.27745i −0.825844 0.451861i 0.0105791 0.999944i \(-0.496632\pi\)
−0.836424 + 0.548084i \(0.815358\pi\)
\(194\) −21.1101 + 27.3632i −1.51562 + 1.96456i
\(195\) 5.26086 + 1.20571i 0.376738 + 0.0863424i
\(196\) −17.1467 + 14.4693i −1.22477 + 1.03352i
\(197\) −20.0888 + 1.51147i −1.43127 + 0.107688i −0.767883 0.640591i \(-0.778690\pi\)
−0.663385 + 0.748278i \(0.730881\pi\)
\(198\) −13.8395 + 15.7892i −0.983530 + 1.12209i
\(199\) 0.0482475 + 7.70945i 0.00342018 + 0.546508i 0.963632 + 0.267234i \(0.0861097\pi\)
−0.960211 + 0.279274i \(0.909906\pi\)
\(200\) 5.20790 9.95775i 0.368254 0.704119i
\(201\) −5.35400 + 16.9089i −0.377642 + 1.19266i
\(202\) 23.8380 + 13.4333i 1.67723 + 0.945164i
\(203\) −4.78990 2.31725i −0.336185 0.162639i
\(204\) −1.82030 41.5260i −0.127446 2.90740i
\(205\) 7.55363 0.854510i 0.527569 0.0596815i
\(206\) −24.1142 19.8374i −1.68011 1.38214i
\(207\) −0.926326 0.419859i −0.0643841 0.0291822i
\(208\) −2.34334 0.205837i −0.162482 0.0142722i
\(209\) −18.4969 20.5774i −1.27946 1.42337i
\(210\) −5.36361 1.08872i −0.370124 0.0751285i
\(211\) −19.1091 + 13.0952i −1.31553 + 0.901512i −0.998893 0.0470364i \(-0.985022\pi\)
−0.316633 + 0.948548i \(0.602552\pi\)
\(212\) −5.03126 3.63622i −0.345549 0.249736i
\(213\) −2.38614 2.01354i −0.163495 0.137966i
\(214\) 19.9462 + 26.5347i 1.36349 + 1.81387i
\(215\) −2.99691 + 0.377073i −0.204387 + 0.0257162i
\(216\) 7.60481 + 4.41182i 0.517442 + 0.300186i
\(217\) 3.34963 + 0.856464i 0.227387 + 0.0581405i
\(218\) 3.87286 29.2992i 0.262303 1.98440i
\(219\) 9.31643 + 0.466819i 0.629546 + 0.0315447i
\(220\) −20.7275 + 9.08381i −1.39745 + 0.612430i
\(221\) −9.59271 1.32913i −0.645275 0.0894067i
\(222\) −7.47191 13.8614i −0.501482 0.930315i
\(223\) 1.62051 0.783969i 0.108517 0.0524984i −0.380444 0.924804i \(-0.624229\pi\)
0.488961 + 0.872306i \(0.337376\pi\)
\(224\) −3.14157 0.196861i −0.209905 0.0131533i
\(225\) −2.69106 5.30611i −0.179404 0.353740i
\(226\) −10.5102 + 22.8078i −0.699128 + 1.51715i
\(227\) 4.51167 1.03400i 0.299450 0.0686293i −0.0710161 0.997475i \(-0.522624\pi\)
0.370466 + 0.928846i \(0.379198\pi\)
\(228\) 27.0515 35.9869i 1.79153 2.38329i
\(229\) 11.3167 19.7913i 0.747826 1.30784i −0.197043 0.980395i \(-0.563134\pi\)
0.944869 0.327449i \(-0.106189\pi\)
\(230\) −1.11796 1.30813i −0.0737159 0.0862556i
\(231\) −5.25555 6.30772i −0.345790 0.415018i
\(232\) −8.44346 22.6575i −0.554340 1.48754i
\(233\) 20.2253 + 0.253159i 1.32500 + 0.0165850i 0.671876 0.740664i \(-0.265489\pi\)
0.653126 + 0.757249i \(0.273457\pi\)
\(234\) −5.17121 + 6.05087i −0.338052 + 0.395558i
\(235\) −2.71569 7.57582i −0.177152 0.494192i
\(236\) −2.50617 1.71744i −0.163138 0.111796i
\(237\) 21.9952 + 22.6944i 1.42874 + 1.47416i
\(238\) 9.75801 + 1.10388i 0.632518 + 0.0715540i
\(239\) −0.406465 + 5.89519i −0.0262920 + 0.381328i 0.966096 + 0.258181i \(0.0831232\pi\)
−0.992389 + 0.123147i \(0.960701\pi\)
\(240\) −2.21985 3.19622i −0.143291 0.206315i
\(241\) 25.5179 + 7.90456i 1.64375 + 0.509177i 0.972667 0.232203i \(-0.0745933\pi\)
0.671085 + 0.741380i \(0.265828\pi\)
\(242\) −26.5257 7.13720i −1.70514 0.458797i
\(243\) 15.5675 7.05597i 0.998653 0.452641i
\(244\) −12.6661 + 4.45113i −0.810863 + 0.284954i
\(245\) −3.01966 + 8.10306i −0.192919 + 0.517686i
\(246\) −10.5118 + 27.1637i −0.670206 + 1.73189i
\(247\) −7.10925 7.71250i −0.452351 0.490734i
\(248\) 8.30521 + 13.3365i 0.527381 + 0.846866i
\(249\) 0.0600005 + 0.0236517i 0.00380238 + 0.00149887i
\(250\) −0.811765 25.9342i −0.0513405 1.64022i
\(251\) −19.0194 + 23.4170i −1.20049 + 1.47807i −0.362856 + 0.931845i \(0.618198\pi\)
−0.837639 + 0.546224i \(0.816065\pi\)
\(252\) 3.24168 3.99121i 0.204206 0.251422i
\(253\) −0.0807604 2.58012i −0.00507736 0.162211i
\(254\) 23.0281 + 9.07748i 1.44491 + 0.569572i
\(255\) −8.46885 13.5992i −0.530340 0.851617i
\(256\) −15.8919 17.2404i −0.993244 1.07753i
\(257\) 5.12980 13.2560i 0.319988 0.826888i −0.675958 0.736940i \(-0.736270\pi\)
0.995946 0.0899481i \(-0.0286701\pi\)
\(258\) 4.04138 10.8448i 0.251605 0.675166i
\(259\) 2.23600 0.785779i 0.138939 0.0488259i
\(260\) −7.81406 + 3.54173i −0.484608 + 0.219649i
\(261\) −12.3619 3.32619i −0.765184 0.205886i
\(262\) −40.8145 12.6429i −2.52153 0.781082i
\(263\) 2.66680 + 3.83975i 0.164442 + 0.236769i 0.894984 0.446098i \(-0.147187\pi\)
−0.730542 + 0.682867i \(0.760733\pi\)
\(264\) 2.56631 37.2207i 0.157946 2.29077i
\(265\) −2.37746 0.268952i −0.146046 0.0165216i
\(266\) 7.40251 + 7.63784i 0.453877 + 0.468306i
\(267\) 15.6776 + 10.7437i 0.959456 + 0.657502i
\(268\) −9.51349 26.5393i −0.581129 1.62115i
\(269\) −7.97139 + 9.32739i −0.486024 + 0.568701i −0.948032 0.318175i \(-0.896930\pi\)
0.462008 + 0.886876i \(0.347129\pi\)
\(270\) 7.87496 + 0.0985705i 0.479255 + 0.00599881i
\(271\) 4.37634 + 11.7436i 0.265844 + 0.713374i 0.999429 + 0.0337774i \(0.0107537\pi\)
−0.733586 + 0.679597i \(0.762155\pi\)
\(272\) 4.46965 + 5.36449i 0.271012 + 0.325270i
\(273\) −2.02214 2.36612i −0.122386 0.143204i
\(274\) 12.7094 22.2271i 0.767806 1.34279i
\(275\) 9.07357 12.0707i 0.547157 0.727890i
\(276\) 4.09407 0.938296i 0.246434 0.0564788i
\(277\) −7.23655 + 15.7037i −0.434802 + 0.943547i 0.558661 + 0.829396i \(0.311315\pi\)
−0.993463 + 0.114151i \(0.963585\pi\)
\(278\) 9.63636 + 19.0005i 0.577951 + 1.13958i
\(279\) 8.30175 + 0.520215i 0.497013 + 0.0311445i
\(280\) 3.36961 1.63015i 0.201372 0.0974198i
\(281\) 5.96978 + 11.0747i 0.356127 + 0.660663i 0.993988 0.109489i \(-0.0349214\pi\)
−0.637861 + 0.770152i \(0.720180\pi\)
\(282\) 30.5440 + 4.23205i 1.81887 + 0.252015i
\(283\) 6.03572 2.64514i 0.358787 0.157237i −0.214226 0.976784i \(-0.568723\pi\)
0.573012 + 0.819547i \(0.305775\pi\)
\(284\) 4.95666 + 0.248364i 0.294124 + 0.0147377i
\(285\) 2.27388 17.2025i 0.134693 1.01899i
\(286\) −19.5728 5.00456i −1.15736 0.295926i
\(287\) −3.79192 2.19982i −0.223830 0.129852i
\(288\) −7.51379 + 0.945391i −0.442754 + 0.0557077i
\(289\) 7.05783 + 9.38912i 0.415166 + 0.552301i
\(290\) −16.5534 13.9686i −0.972048 0.820263i
\(291\) −26.3517 19.0450i −1.54476 1.11644i
\(292\) −12.2312 + 8.38186i −0.715775 + 0.490511i
\(293\) −21.1442 4.29188i −1.23526 0.250734i −0.463179 0.886265i \(-0.653291\pi\)
−0.772076 + 0.635530i \(0.780781\pi\)
\(294\) −22.1498 24.6411i −1.29180 1.43710i
\(295\) −1.16650 0.102465i −0.0679165 0.00596572i
\(296\) 9.80944 + 4.44614i 0.570162 + 0.258427i
\(297\) 9.12389 + 7.50572i 0.529422 + 0.435526i
\(298\) −17.2283 + 1.94896i −0.998009 + 0.112900i
\(299\) −0.0428559 0.977660i −0.00247842 0.0565396i
\(300\) 22.1182 + 10.7003i 1.27700 + 0.617784i
\(301\) 1.51752 + 0.855161i 0.0874683 + 0.0492907i
\(302\) 12.3636 39.0465i 0.711443 2.24687i
\(303\) −11.9301 + 22.8109i −0.685366 + 1.31045i
\(304\) 0.0473291 + 7.56270i 0.00271451 + 0.433751i
\(305\) −3.41079 + 3.89131i −0.195301 + 0.222816i
\(306\) 23.5597 1.77261i 1.34682 0.101334i
\(307\) −10.3141 + 8.70352i −0.588654 + 0.496736i −0.889499 0.456937i \(-0.848947\pi\)
0.300845 + 0.953673i \(0.402731\pi\)
\(308\) 12.7209 + 2.91542i 0.724838 + 0.166121i
\(309\) 17.9439 23.2591i 1.02079 1.32317i
\(310\) 12.3464 + 6.75531i 0.701226 + 0.383676i
\(311\) 0.481139 + 5.11040i 0.0272829 + 0.289784i 0.998639 + 0.0521557i \(0.0166092\pi\)
−0.971356 + 0.237629i \(0.923630\pi\)
\(312\) 0.796205 14.1214i 0.0450762 0.799465i
\(313\) −19.0607 3.12906i −1.07737 0.176865i −0.402959 0.915218i \(-0.632018\pi\)
−0.674414 + 0.738353i \(0.735604\pi\)
\(314\) −21.4603 + 5.20191i −1.21108 + 0.293561i
\(315\) 0.333273 1.95357i 0.0187778 0.110071i
\(316\) −49.6711 7.51700i −2.79422 0.422864i
\(317\) −2.59797 + 27.5942i −0.145917 + 1.54985i 0.552107 + 0.833773i \(0.313824\pi\)
−0.698024 + 0.716074i \(0.745937\pi\)
\(318\) 5.13482 7.59445i 0.287947 0.425876i
\(319\) −6.26413 31.8828i −0.350724 1.78509i
\(320\) −15.5440 5.02905i −0.868937 0.281133i
\(321\) −24.3643 + 19.5370i −1.35988 + 1.09045i
\(322\) 0.0682579 + 0.989982i 0.00380386 + 0.0551695i
\(323\) −1.36350 + 31.1053i −0.0758673 + 1.73074i
\(324\) −18.5021 + 34.3239i −1.02790 + 1.90688i
\(325\) 3.38223 4.61867i 0.187613 0.256198i
\(326\) 2.49772 + 7.55824i 0.138336 + 0.418612i
\(327\) 27.6649 + 2.77940i 1.52987 + 0.153701i
\(328\) −5.53622 19.1362i −0.305687 1.05662i
\(329\) −1.34549 + 4.44173i −0.0741791 + 0.244881i
\(330\) −14.3659 30.1754i −0.790817 1.66110i
\(331\) −6.56109 2.68169i −0.360630 0.147399i 0.190780 0.981633i \(-0.438898\pi\)
−0.551411 + 0.834234i \(0.685910\pi\)
\(332\) −0.0986548 + 0.0278735i −0.00541438 + 0.00152976i
\(333\) 4.93216 2.86132i 0.270281 0.156799i
\(334\) −14.3554 + 10.9323i −0.785493 + 0.598187i
\(335\) −8.21628 7.11127i −0.448903 0.388530i
\(336\) −0.0702094 + 2.24304i −0.00383023 + 0.122368i
\(337\) −10.1421 + 23.5419i −0.552473 + 1.28241i 0.381269 + 0.924464i \(0.375487\pi\)
−0.933742 + 0.357947i \(0.883477\pi\)
\(338\) 22.2146 + 5.38474i 1.20831 + 0.292891i
\(339\) −21.7562 9.21174i −1.18163 0.500313i
\(340\) 23.8065 + 9.04173i 1.29109 + 0.490357i
\(341\) 8.10986 + 19.4926i 0.439174 + 1.05559i
\(342\) 20.9262 + 14.7287i 1.13156 + 0.796439i
\(343\) 8.76415 5.68891i 0.473220 0.307172i
\(344\) 2.29478 + 7.57554i 0.123726 + 0.408446i
\(345\) 1.19717 1.08975i 0.0644533 0.0586702i
\(346\) 14.9843 31.4744i 0.805562 1.69207i
\(347\) 13.2908 + 12.0983i 0.713489 + 0.649470i 0.946388 0.323031i \(-0.104702\pi\)
−0.232899 + 0.972501i \(0.574821\pi\)
\(348\) 48.9387 20.0025i 2.62339 1.07225i
\(349\) 13.2353 10.3435i 0.708471 0.553677i −0.195796 0.980645i \(-0.562729\pi\)
0.904267 + 0.426968i \(0.140418\pi\)
\(350\) −3.31139 + 4.76787i −0.177001 + 0.254853i
\(351\) 3.49420 + 2.80189i 0.186506 + 0.149554i
\(352\) −10.5661 16.0568i −0.563174 0.855833i
\(353\) −15.8385 + 7.41915i −0.842997 + 0.394882i −0.796941 0.604057i \(-0.793550\pi\)
−0.0460563 + 0.998939i \(0.514665\pi\)
\(354\) 2.41926 3.77861i 0.128582 0.200831i
\(355\) 1.71135 0.854513i 0.0908293 0.0453529i
\(356\) −30.1728 + 1.51187i −1.59915 + 0.0801289i
\(357\) −0.750802 + 9.20823i −0.0397367 + 0.487351i
\(358\) 13.4158 2.54876i 0.709047 0.134706i
\(359\) −2.22810 + 3.57787i −0.117595 + 0.188833i −0.902388 0.430925i \(-0.858187\pi\)
0.784793 + 0.619758i \(0.212769\pi\)
\(360\) 7.23238 5.36609i 0.381180 0.282818i
\(361\) −9.84236 + 10.9494i −0.518019 + 0.576285i
\(362\) −2.39923 + 2.23950i −0.126101 + 0.117706i
\(363\) 5.93058 25.1530i 0.311275 1.32019i
\(364\) 4.83591 + 1.04479i 0.253471 + 0.0547617i
\(365\) −2.52098 + 5.12888i −0.131954 + 0.268458i
\(366\) −7.15534 18.4903i −0.374016 0.966502i
\(367\) 15.5827 0.195048i 0.813410 0.0101814i 0.395271 0.918564i \(-0.370651\pi\)
0.418139 + 0.908383i \(0.362682\pi\)
\(368\) −0.451656 + 0.542079i −0.0235442 + 0.0282578i
\(369\) −9.95037 3.49677i −0.517996 0.182035i
\(370\) 9.61054 0.844180i 0.499628 0.0438868i
\(371\) 1.00865 + 0.941499i 0.0523665 + 0.0488802i
\(372\) −28.5778 + 19.0627i −1.48169 + 0.988357i
\(373\) −6.01491 + 22.9255i −0.311440 + 1.18704i 0.608042 + 0.793905i \(0.291955\pi\)
−0.919482 + 0.393133i \(0.871391\pi\)
\(374\) 30.4158 + 51.6809i 1.57276 + 2.67236i
\(375\) 24.3628 1.52665i 1.25809 0.0788360i
\(376\) −18.3733 + 10.3539i −0.947533 + 0.533960i
\(377\) −2.52581 12.0560i −0.130086 0.620917i
\(378\) −3.61324 2.75164i −0.185845 0.141529i
\(379\) 1.65490 + 0.208221i 0.0850066 + 0.0106956i 0.167225 0.985919i \(-0.446519\pi\)
−0.0822186 + 0.996614i \(0.526201\pi\)
\(380\) 13.6913 + 23.9442i 0.702351 + 1.22831i
\(381\) −7.85803 + 21.9212i −0.402579 + 1.12306i
\(382\) −10.5542 + 7.62782i −0.540002 + 0.390273i
\(383\) 27.2740 + 2.05208i 1.39364 + 0.104856i 0.750487 0.660885i \(-0.229819\pi\)
0.643148 + 0.765742i \(0.277628\pi\)
\(384\) 31.9591 31.3646i 1.63090 1.60057i
\(385\) 4.82310 1.42812i 0.245808 0.0727837i
\(386\) 5.54108 + 30.1957i 0.282034 + 1.53692i
\(387\) 3.97080 + 1.33983i 0.201847 + 0.0681073i
\(388\) 51.6659 1.29360i 2.62294 0.0656727i
\(389\) 5.99289 + 24.0647i 0.303852 + 1.22013i 0.906529 + 0.422143i \(0.138722\pi\)
−0.602678 + 0.797985i \(0.705899\pi\)
\(390\) −5.58884 11.3704i −0.283002 0.575762i
\(391\) −1.96875 + 2.13581i −0.0995642 + 0.108013i
\(392\) 22.2629 + 4.22954i 1.12444 + 0.213624i
\(393\) 10.6872 38.7512i 0.539098 1.95474i
\(394\) 32.4845 + 34.3677i 1.63655 + 1.73142i
\(395\) −18.1011 + 6.87479i −0.910763 + 0.345908i
\(396\) 31.3761 + 1.17869i 1.57671 + 0.0592315i
\(397\) 30.2178 8.13062i 1.51659 0.408064i 0.597419 0.801930i \(-0.296193\pi\)
0.919168 + 0.393866i \(0.128862\pi\)
\(398\) 13.9763 11.4975i 0.700568 0.576318i
\(399\) −6.96420 + 7.18560i −0.348646 + 0.359730i
\(400\) −4.04504 + 0.821070i −0.202252 + 0.0410535i
\(401\) −15.3229 11.3688i −0.765187 0.567733i 0.141300 0.989967i \(-0.454872\pi\)
−0.906487 + 0.422234i \(0.861246\pi\)
\(402\) 38.7341 15.2687i 1.93188 0.761532i
\(403\) 3.16668 + 7.35057i 0.157744 + 0.366158i
\(404\) −6.88121 40.3361i −0.342353 2.00680i
\(405\) 0.282145 + 15.0263i 0.0140199 + 0.746665i
\(406\) 2.86645 + 12.1573i 0.142260 + 0.603356i
\(407\) 12.0398 + 8.03115i 0.596793 + 0.398090i
\(408\) −31.3979 + 27.8701i −1.55443 + 1.37977i
\(409\) −18.9657 21.6377i −0.937795 1.06991i −0.997427 0.0716930i \(-0.977160\pi\)
0.0596313 0.998220i \(-0.481008\pi\)
\(410\) −12.7360 12.4991i −0.628988 0.617289i
\(411\) 21.2748 + 11.2968i 1.04941 + 0.557232i
\(412\) −0.292225 + 46.6945i −0.0143969 + 2.30047i
\(413\) 0.505031 + 0.448287i 0.0248509 + 0.0220588i
\(414\) 0.605876 + 2.30927i 0.0297772 + 0.113494i
\(415\) −0.0278522 + 0.0280271i −0.00136721 + 0.00137579i
\(416\) −4.08146 6.03651i −0.200110 0.295964i
\(417\) −17.5831 + 9.62060i −0.861049 + 0.471123i
\(418\) −10.1204 + 64.1576i −0.495005 + 3.13805i
\(419\) 11.3833 2.01534i 0.556109 0.0984558i 0.110816 0.993841i \(-0.464653\pi\)
0.445293 + 0.895385i \(0.353100\pi\)
\(420\) 3.79307 + 7.25253i 0.185083 + 0.353887i
\(421\) 1.23213 0.654255i 0.0600503 0.0318864i −0.438684 0.898641i \(-0.644555\pi\)
0.498734 + 0.866755i \(0.333798\pi\)
\(422\) 52.1419 + 15.4392i 2.53823 + 0.751569i
\(423\) −1.18567 + 11.1026i −0.0576493 + 0.539829i
\(424\) 0.352961 + 6.26006i 0.0171413 + 0.304015i
\(425\) −16.8011 + 2.54261i −0.814975 + 0.123335i
\(426\) −0.137592 + 7.32781i −0.00666635 + 0.355034i
\(427\) 2.91676 0.630159i 0.141152 0.0304955i
\(428\) 11.9960 48.1706i 0.579851 2.32841i
\(429\) 4.12984 18.5522i 0.199391 0.895708i
\(430\) 5.12236 + 4.90274i 0.247022 + 0.236431i
\(431\) −10.3207 29.9667i −0.497130 1.44344i −0.859368 0.511358i \(-0.829143\pi\)
0.362238 0.932085i \(-0.382013\pi\)
\(432\) −0.503176 3.18985i −0.0242091 0.153472i
\(433\) 1.78208 + 2.30996i 0.0856413 + 0.111009i 0.832636 0.553821i \(-0.186831\pi\)
−0.746995 + 0.664830i \(0.768504\pi\)
\(434\) −3.39668 7.37101i −0.163046 0.353820i
\(435\) 12.6478 15.9768i 0.606417 0.766027i
\(436\) −37.6619 + 23.1279i −1.80368 + 1.10763i
\(437\) −3.11642 + 0.431798i −0.149079 + 0.0206557i
\(438\) −12.9372 17.6667i −0.618165 0.844147i
\(439\) 10.2551 14.3782i 0.489451 0.686235i −0.493575 0.869703i \(-0.664310\pi\)
0.983026 + 0.183468i \(0.0587324\pi\)
\(440\) 20.3207 + 10.4663i 0.968754 + 0.498962i
\(441\) 8.66737 8.29575i 0.412732 0.395036i
\(442\) 11.7749 + 19.4463i 0.560074 + 0.924966i
\(443\) −11.2556 + 11.9081i −0.534770 + 0.565772i −0.936805 0.349853i \(-0.886232\pi\)
0.402034 + 0.915625i \(0.368303\pi\)
\(444\) −9.04571 + 21.7420i −0.429290 + 1.03183i
\(445\) −9.84539 + 6.21701i −0.466716 + 0.294714i
\(446\) −3.82677 1.79256i −0.181203 0.0848801i
\(447\) −2.33975 16.1429i −0.110666 0.763533i
\(448\) 5.47077 + 7.67031i 0.258470 + 0.362388i
\(449\) −9.37677 + 28.3746i −0.442517 + 1.33908i 0.451989 + 0.892023i \(0.350714\pi\)
−0.894506 + 0.447055i \(0.852473\pi\)
\(450\) −5.68583 + 12.7563i −0.268033 + 0.601336i
\(451\) −3.17554 26.5806i −0.149530 1.25163i
\(452\) 36.3843 9.30309i 1.71138 0.437580i
\(453\) 37.0804 + 10.4766i 1.74219 + 0.492231i
\(454\) −8.56115 6.69062i −0.401795 0.314007i
\(455\) 1.82151 0.564240i 0.0853936 0.0264520i
\(456\) −45.4402 + 1.70703i −2.12793 + 0.0799391i
\(457\) 35.3045 14.9482i 1.65148 0.699249i 0.653158 0.757221i \(-0.273444\pi\)
0.998318 + 0.0579722i \(0.0184635\pi\)
\(458\) −52.8105 + 8.66955i −2.46767 + 0.405102i
\(459\) −1.41172 13.2194i −0.0658934 0.617026i
\(460\) −0.464460 + 2.53104i −0.0216555 + 0.118010i
\(461\) 8.49456 15.2970i 0.395631 0.712452i −0.600566 0.799575i \(-0.705058\pi\)
0.996198 + 0.0871231i \(0.0277674\pi\)
\(462\) −3.71561 + 18.9115i −0.172866 + 0.879841i
\(463\) −18.2398 18.3543i −0.847674 0.852996i 0.142933 0.989732i \(-0.454347\pi\)
−0.990607 + 0.136737i \(0.956339\pi\)
\(464\) −4.50465 + 7.65407i −0.209123 + 0.355331i
\(465\) −5.98882 + 11.8085i −0.277725 + 0.547605i
\(466\) −29.4711 37.2279i −1.36522 1.72455i
\(467\) 1.20458 + 0.440328i 0.0557412 + 0.0203760i 0.371046 0.928614i \(-0.378999\pi\)
−0.315305 + 0.948990i \(0.602107\pi\)
\(468\) 11.8993 + 0.297933i 0.550045 + 0.0137719i
\(469\) 1.36162 + 6.11669i 0.0628736 + 0.282442i
\(470\) −9.78513 + 16.1602i −0.451354 + 0.745415i
\(471\) −5.52315 20.0267i −0.254494 0.922780i
\(472\) 0.249378 + 3.05851i 0.0114786 + 0.140779i
\(473\) 1.39387 + 10.5450i 0.0640904 + 0.484861i
\(474\) 8.80063 73.6649i 0.404226 3.38354i
\(475\) −15.8029 9.43412i −0.725086 0.432867i
\(476\) −7.91853 12.3678i −0.362945 0.566879i
\(477\) 2.80681 + 1.77240i 0.128515 + 0.0811525i
\(478\) 11.3434 7.98395i 0.518835 0.365177i
\(479\) 7.62408 18.9918i 0.348353 0.867759i −0.646165 0.763198i \(-0.723628\pi\)
0.994518 0.104561i \(-0.0333438\pi\)
\(480\) 3.35004 11.5796i 0.152908 0.528534i
\(481\) 4.60204 + 2.98723i 0.209835 + 0.136206i
\(482\) −23.3620 58.1955i −1.06411 2.65073i
\(483\) −0.928899 + 0.0933232i −0.0422664 + 0.00424635i
\(484\) 16.7237 + 37.5200i 0.760170 + 1.70546i
\(485\) 17.1037 10.2107i 0.776639 0.463643i
\(486\) −35.8960 17.9236i −1.62828 0.813031i
\(487\) −39.1545 17.1594i −1.77426 0.777566i −0.986954 0.161005i \(-0.948527\pi\)
−0.787307 0.616562i \(-0.788525\pi\)
\(488\) 11.5553 + 7.09601i 0.523083 + 0.321221i
\(489\) −7.03371 + 2.57115i −0.318075 + 0.116271i
\(490\) 19.2339 6.48989i 0.868897 0.293183i
\(491\) −19.9951 36.0071i −0.902366 1.62498i −0.773938 0.633261i \(-0.781716\pi\)
−0.128428 0.991719i \(-0.540993\pi\)
\(492\) 41.4422 13.4081i 1.86836 0.604482i
\(493\) −20.0987 + 30.5431i −0.905198 + 1.37559i
\(494\) −3.53192 + 24.3682i −0.158908 + 1.09638i
\(495\) 10.7586 5.54126i 0.483562 0.249061i
\(496\) 1.87915 5.45620i 0.0843761 0.244991i
\(497\) −1.08620 0.192306i −0.0487228 0.00862608i
\(498\) −0.0457011 0.144333i −0.00204791 0.00646770i
\(499\) 8.28394 39.5403i 0.370840 1.77007i −0.232511 0.972594i \(-0.574694\pi\)
0.603351 0.797475i \(-0.293832\pi\)
\(500\) −29.3390 + 25.3932i −1.31208 + 1.13562i
\(501\) −10.7025 13.1770i −0.478150 0.588707i
\(502\) 70.8169 3.16071
\(503\) −21.0151 + 7.83358i −0.937018 + 0.349282i
\(504\) −5.19340 −0.231333
\(505\) −9.94306 12.2421i −0.442460 0.544765i
\(506\) −4.58182 + 3.96561i −0.203687 + 0.176293i
\(507\) −4.40958 + 21.0475i −0.195836 + 0.934753i
\(508\) −11.1739 35.2893i −0.495762 1.56571i
\(509\) 26.5203 + 4.69526i 1.17549 + 0.208114i 0.727617 0.685983i \(-0.240628\pi\)
0.447873 + 0.894097i \(0.352182\pi\)
\(510\) −12.2462 + 35.5576i −0.542272 + 1.57452i
\(511\) 2.92991 1.50907i 0.129612 0.0667573i
\(512\) −2.07834 + 14.3394i −0.0918507 + 0.633716i
\(513\) 7.91541 12.0287i 0.349474 0.531081i
\(514\) −31.7462 + 10.2710i −1.40026 + 0.453036i
\(515\) 8.73751 + 15.7345i 0.385021 + 0.693344i
\(516\) −16.3988 + 5.53330i −0.721919 + 0.243590i
\(517\) −26.6177 + 9.73000i −1.17065 + 0.427925i
\(518\) −4.74098 2.91140i −0.208307 0.127920i
\(519\) 30.0373 + 13.1638i 1.31849 + 0.577826i
\(520\) 7.75262 + 3.87104i 0.339975 + 0.169756i
\(521\) −17.8464 + 10.6541i −0.781865 + 0.466763i −0.847314 0.531093i \(-0.821782\pi\)
0.0654488 + 0.997856i \(0.479152\pi\)
\(522\) 12.2342 + 27.4477i 0.535478 + 1.20135i
\(523\) −9.69705 + 0.974228i −0.424022 + 0.0426000i −0.309679 0.950841i \(-0.600222\pi\)
−0.114344 + 0.993441i \(0.536476\pi\)
\(524\) 23.8043 + 59.2973i 1.03990 + 2.59041i
\(525\) −4.58083 2.97347i −0.199924 0.129773i
\(526\) 3.04984 10.5419i 0.132979 0.459649i
\(527\) 8.85059 22.0471i 0.385538 0.960386i
\(528\) −11.2063 + 7.88744i −0.487691 + 0.343257i
\(529\) 19.1991 + 12.1235i 0.834742 + 0.527109i
\(530\) 3.02845 + 4.73010i 0.131548 + 0.205462i
\(531\) 1.39499 + 0.832789i 0.0605373 + 0.0361400i
\(532\) 1.88686 15.7938i 0.0818059 0.684749i
\(533\) −1.32987 10.0608i −0.0576030 0.435782i
\(534\) −3.62566 44.4670i −0.156898 1.92427i
\(535\) −5.08687 18.4447i −0.219925 0.797436i
\(536\) −14.7492 + 24.3585i −0.637069 + 1.05212i
\(537\) 2.79154 + 12.5403i 0.120464 + 0.541152i
\(538\) 28.7931 + 0.720916i 1.24136 + 0.0310809i
\(539\) 28.6007 + 10.4549i 1.23192 + 0.450324i
\(540\) −7.31014 9.23418i −0.314579 0.397376i
\(541\) 9.88096 19.4828i 0.424816 0.837632i −0.574995 0.818157i \(-0.694996\pi\)
0.999810 0.0194745i \(-0.00619931\pi\)
\(542\) 14.9218 25.3543i 0.640944 1.08906i
\(543\) −2.17649 2.19015i −0.0934020 0.0939884i
\(544\) −4.16990 + 21.2237i −0.178783 + 0.909958i
\(545\) −8.26988 + 14.8924i −0.354243 + 0.637920i
\(546\) −1.31874 + 7.18637i −0.0564368 + 0.307548i
\(547\) −4.24919 39.7895i −0.181682 1.70128i −0.605757 0.795650i \(-0.707130\pi\)
0.424075 0.905627i \(-0.360599\pi\)
\(548\) −37.7837 + 6.20270i −1.61404 + 0.264966i
\(549\) 6.61107 2.79918i 0.282154 0.119466i
\(550\) −35.4229 + 1.33072i −1.51044 + 0.0567420i
\(551\) −37.8283 + 11.7179i −1.61154 + 0.499198i
\(552\) −3.34266 2.61232i −0.142273 0.111188i
\(553\) 10.7454 + 3.03596i 0.456941 + 0.129102i
\(554\) 39.3242 10.0548i 1.67072 0.427186i
\(555\) 1.07668 + 9.01222i 0.0457023 + 0.382547i
\(556\) 12.9706 29.0997i 0.550075 1.23410i
\(557\) 1.63451 4.94610i 0.0692563 0.209573i −0.909070 0.416644i \(-0.863206\pi\)
0.978326 + 0.207071i \(0.0663933\pi\)
\(558\) −11.3383 15.8968i −0.479987 0.672967i
\(559\) 0.578408 + 3.99067i 0.0244640 + 0.168788i
\(560\) −1.24506 0.583220i −0.0526136 0.0246456i
\(561\) −47.7018 + 30.1220i −2.01397 + 1.27175i
\(562\) 11.3447 27.2678i 0.478548 1.15022i
\(563\) −3.16166 + 3.34494i −0.133248 + 0.140973i −0.789935 0.613191i \(-0.789886\pi\)
0.656687 + 0.754163i \(0.271957\pi\)
\(564\) −23.8845 39.4454i −1.00572 1.66095i
\(565\) 10.4569 10.0085i 0.439923 0.421062i
\(566\) −13.7524 7.08325i −0.578056 0.297731i
\(567\) 5.03267 7.05606i 0.211352 0.296326i
\(568\) −2.96159 4.04425i −0.124265 0.169693i
\(569\) −36.0920 + 5.00076i −1.51305 + 0.209643i −0.845120 0.534577i \(-0.820471\pi\)
−0.667935 + 0.744220i \(0.732822\pi\)
\(570\) −34.7106 + 21.3155i −1.45387 + 0.892809i
\(571\) −3.68061 + 4.64935i −0.154029 + 0.194569i −0.855012 0.518609i \(-0.826450\pi\)
0.700983 + 0.713178i \(0.252745\pi\)
\(572\) 12.6441 + 27.4384i 0.528676 + 1.14726i
\(573\) −7.48330 9.69995i −0.312619 0.405221i
\(574\) 1.60346 + 10.1650i 0.0669273 + 0.424280i
\(575\) −0.559139 1.62349i −0.0233177 0.0677043i
\(576\) 16.3750 + 15.6729i 0.682291 + 0.653038i
\(577\) 7.11301 31.9532i 0.296118 1.33023i −0.566369 0.824152i \(-0.691652\pi\)
0.862487 0.506079i \(-0.168905\pi\)
\(578\) 6.66306 26.7558i 0.277147 1.11289i
\(579\) −28.2308 + 6.09920i −1.17323 + 0.253474i
\(580\) −0.608079 + 32.3848i −0.0252491 + 1.34471i
\(581\) 0.0225297 0.00340955i 0.000934691 0.000141452i
\(582\) 4.29651 + 76.2022i 0.178096 + 3.15868i
\(583\) −0.894694 + 8.37793i −0.0370544 + 0.346978i
\(584\) 14.3601 + 4.25202i 0.594224 + 0.175950i
\(585\) 4.05194 2.15157i 0.167527 0.0889563i
\(586\) 23.4719 + 44.8794i 0.969616 + 1.85395i
\(587\) −19.9994 + 3.54078i −0.825464 + 0.146144i −0.571012 0.820942i \(-0.693449\pi\)
−0.254452 + 0.967085i \(0.581895\pi\)
\(588\) −7.72045 + 48.9432i −0.318386 + 2.01839i
\(589\) 22.5737 12.3512i 0.930133 0.508922i
\(590\) 1.53966 + 2.27718i 0.0633869 + 0.0937498i
\(591\) −31.3608 + 31.5577i −1.29001 + 1.29811i
\(592\) −1.00391 3.82636i −0.0412605 0.157262i
\(593\) 21.6366 + 19.2055i 0.888507 + 0.788677i 0.978280 0.207286i \(-0.0664629\pi\)
−0.0897735 + 0.995962i \(0.528614\pi\)
\(594\) 0.173560 27.7331i 0.00712126 1.13790i
\(595\) −4.99917 2.65454i −0.204946 0.108825i
\(596\) 18.5053 + 18.1611i 0.758007 + 0.743908i
\(597\) 11.2228 + 12.8039i 0.459319 + 0.524029i
\(598\) −1.71801 + 1.52498i −0.0702546 + 0.0623610i
\(599\) 5.46434 + 3.64498i 0.223267 + 0.148930i 0.661534 0.749915i \(-0.269906\pi\)
−0.438267 + 0.898845i \(0.644408\pi\)
\(600\) −5.69523 24.1548i −0.232507 0.986115i
\(601\) 0.803039 + 42.7679i 0.0327567 + 1.74454i 0.505042 + 0.863095i \(0.331477\pi\)
−0.472285 + 0.881446i \(0.656571\pi\)
\(602\) −0.687629 4.03073i −0.0280257 0.164280i
\(603\) 5.96495 + 13.8460i 0.242912 + 0.563851i
\(604\) −56.9816 + 22.4617i −2.31855 + 0.913952i
\(605\) 12.7151 + 9.43405i 0.516944 + 0.383549i
\(606\) 59.2206 12.0207i 2.40567 0.488307i
\(607\) −17.9358 + 18.5060i −0.727991 + 0.751135i −0.976035 0.217614i \(-0.930173\pi\)
0.248044 + 0.968749i \(0.420212\pi\)
\(608\) −18.0919 + 14.8832i −0.733725 + 0.603595i
\(609\) −11.3475 + 3.05324i −0.459823 + 0.123723i
\(610\) 12.1383 + 0.455995i 0.491466 + 0.0184627i
\(611\) −10.0438 + 3.81463i −0.406328 + 0.154324i
\(612\) −24.2699 25.6768i −0.981052 1.03792i
\(613\) 5.89351 21.3696i 0.238037 0.863108i −0.743001 0.669290i \(-0.766598\pi\)
0.981038 0.193818i \(-0.0620870\pi\)
\(614\) 31.1233 + 5.91287i 1.25604 + 0.238624i
\(615\) 11.3784 12.3440i 0.458823 0.497756i
\(616\) −5.81466 11.8298i −0.234279 0.476637i
\(617\) −9.81347 39.4064i −0.395075 1.58644i −0.756471 0.654028i \(-0.773078\pi\)
0.361395 0.932413i \(-0.382301\pi\)
\(618\) −68.9375 + 1.72605i −2.77307 + 0.0694317i
\(619\) −21.6847 7.31685i −0.871582 0.294089i −0.151903 0.988395i \(-0.548540\pi\)
−0.719680 + 0.694306i \(0.755711\pi\)
\(620\) −3.79868 20.7006i −0.152558 0.831356i
\(621\) 1.28812 0.381413i 0.0516906 0.0153056i
\(622\) 8.59981 8.43985i 0.344821 0.338407i
\(623\) 6.69595 + 0.503799i 0.268267 + 0.0201843i
\(624\) −4.21053 + 3.04305i −0.168556 + 0.121820i
\(625\) 0.300759 0.839014i 0.0120304 0.0335605i
\(626\) 22.5073 + 39.3621i 0.899571 + 1.57322i
\(627\) −60.6271 7.62815i −2.42121 0.304639i
\(628\) 26.2713 + 20.0067i 1.04834 + 0.798356i
\(629\) −3.33945 15.9397i −0.133153 0.635556i
\(630\) −4.05291 + 2.28392i −0.161472 + 0.0909935i
\(631\) 40.4472 2.53455i 1.61018 0.100899i 0.768126 0.640299i \(-0.221189\pi\)
0.842050 + 0.539400i \(0.181349\pi\)
\(632\) 25.7362 + 43.7296i 1.02373 + 1.73947i
\(633\) −12.9832 + 49.4849i −0.516037 + 1.96685i
\(634\) 54.1254 36.1043i 2.14960 1.43388i
\(635\) −10.4295 9.73517i −0.413882 0.386328i
\(636\) −13.6568 + 1.19960i −0.541527 + 0.0475672i
\(637\) 10.8912 + 3.82741i 0.431527 + 0.151648i
\(638\) −48.8242 + 58.5990i −1.93297 + 2.31996i
\(639\) −2.65369 + 0.0332162i −0.104979 + 0.00131401i
\(640\) 9.90090 + 25.5851i 0.391368 + 1.01134i
\(641\) 11.8167 24.0409i 0.466732 0.949558i −0.528211 0.849113i \(-0.677137\pi\)
0.994943 0.100444i \(-0.0320265\pi\)
\(642\) 71.6570 + 15.4813i 2.82808 + 0.610999i
\(643\) −2.51951 + 10.6858i −0.0993598 + 0.421408i −0.999911 0.0133423i \(-0.995753\pi\)
0.900551 + 0.434750i \(0.143163\pi\)
\(644\) 1.08482 1.01260i 0.0427478 0.0399018i
\(645\) −4.45942 + 4.96100i −0.175589 + 0.195339i
\(646\) 58.6960 43.5497i 2.30936 1.71344i
\(647\) 1.21764 1.95527i 0.0478702 0.0768698i −0.824052 0.566514i \(-0.808292\pi\)
0.871922 + 0.489644i \(0.162873\pi\)
\(648\) 38.6922 7.35083i 1.51997 0.288768i
\(649\) −0.335112 + 4.10999i −0.0131543 + 0.161331i
\(650\) −13.4214 + 0.672508i −0.526431 + 0.0263779i
\(651\) 6.83120 3.41095i 0.267736 0.133686i
\(652\) 6.41873 10.0253i 0.251377 0.392622i
\(653\) 15.5645 7.29081i 0.609086 0.285312i −0.0949431 0.995483i \(-0.530267\pi\)
0.704029 + 0.710171i \(0.251382\pi\)
\(654\) −35.8783 54.5227i −1.40295 2.13201i
\(655\) 19.2134 + 15.4067i 0.750730 + 0.601988i
\(656\) −4.17393 + 6.00977i −0.162965 + 0.234642i
\(657\) 6.24750 4.88248i 0.243738 0.190484i
\(658\) 10.0847 4.12188i 0.393143 0.160687i
\(659\) −21.9948 20.0213i −0.856797 0.779919i 0.120295 0.992738i \(-0.461616\pi\)
−0.977092 + 0.212819i \(0.931736\pi\)
\(660\) −21.4833 + 45.1255i −0.836238 + 1.75651i
\(661\) −7.40210 + 6.73794i −0.287908 + 0.262075i −0.804228 0.594320i \(-0.797421\pi\)
0.516320 + 0.856396i \(0.327302\pi\)
\(662\) 4.82369 + 15.9240i 0.187478 + 0.618903i
\(663\) −17.9393 + 11.6446i −0.696706 + 0.452240i
\(664\) 0.0846747 + 0.0595975i 0.00328602 + 0.00231283i
\(665\) −2.35496 5.66032i −0.0913216 0.219498i
\(666\) −12.5131 4.75248i −0.484872 0.184155i
\(667\) −3.40225 1.44054i −0.131736 0.0557780i
\(668\) 26.2246 + 6.35674i 1.01466 + 0.245950i
\(669\) 1.57296 3.65119i 0.0608142 0.141163i
\(670\) −0.798035 + 25.4955i −0.0308308 + 0.984978i
\(671\) 13.7781 + 11.9250i 0.531896 + 0.460361i
\(672\) −5.53046 + 4.21169i −0.213342 + 0.162469i
\(673\) −32.0154 + 18.5732i −1.23410 + 0.715945i −0.968710 0.248196i \(-0.920162\pi\)
−0.265391 + 0.964141i \(0.585501\pi\)
\(674\) 57.9064 16.3606i 2.23047 0.630188i
\(675\) 7.27454 + 2.97329i 0.279997 + 0.114442i
\(676\) −14.6935 30.8635i −0.565133 1.18706i
\(677\) 6.22704 20.5567i 0.239325 0.790060i −0.752062 0.659092i \(-0.770941\pi\)
0.991387 0.130968i \(-0.0418084\pi\)
\(678\) 15.4130 + 53.2757i 0.591931 + 2.04604i
\(679\) −11.4298 1.14831i −0.438634 0.0440680i
\(680\) −8.07068 24.4223i −0.309496 0.936551i
\(681\) 6.03941 8.24723i 0.231431 0.316034i
\(682\) 23.5161 43.6254i 0.900478 1.67050i
\(683\) 0.315808 7.20445i 0.0120841 0.275671i −0.983445 0.181210i \(-0.941999\pi\)
0.995529 0.0944610i \(-0.0301128\pi\)
\(684\) −2.63229 38.1775i −0.100648 1.45975i
\(685\) −11.5134 + 9.23226i −0.439905 + 0.352746i
\(686\) −23.3365 7.55021i −0.890992 0.288268i
\(687\) −9.70661 49.4041i −0.370330 1.88488i
\(688\) 1.62847 2.40852i 0.0620848 0.0918240i
\(689\) −0.299399 + 3.18006i −0.0114062 + 0.121150i
\(690\) −3.75743 0.568631i −0.143043 0.0216474i
\(691\) −1.11572 + 6.54009i −0.0424439 + 0.248797i −0.999100 0.0424245i \(-0.986492\pi\)
0.956656 + 0.291221i \(0.0940615\pi\)
\(692\) −50.6628 + 12.2805i −1.92591 + 0.466834i
\(693\) −6.88667 1.13054i −0.261603 0.0429456i
\(694\) 2.37500 42.1226i 0.0901537 1.59895i
\(695\) −1.15102 12.2255i −0.0436605 0.463739i
\(696\) −46.8455 25.6315i −1.77567 0.971560i
\(697\) −18.4001 + 23.8504i −0.696953 + 0.903399i
\(698\) −38.4350 8.80869i −1.45479 0.333414i
\(699\) 34.1391 28.8083i 1.29126 1.08963i
\(700\) 8.65654 0.651312i 0.327186 0.0246173i
\(701\) 16.8503 19.2242i 0.636428 0.726089i −0.340361 0.940295i \(-0.610549\pi\)
0.976788 + 0.214206i \(0.0687164\pi\)
\(702\) −0.0657964 10.5136i −0.00248333 0.396809i
\(703\) 8.17480 15.6306i 0.308318 0.589519i
\(704\) −17.3668 + 54.8476i −0.654536 + 2.06715i
\(705\) −15.4839 8.72559i −0.583158 0.328625i
\(706\) 36.9589 + 17.8799i 1.39097 + 0.672921i
\(707\) 0.398297 + 9.08625i 0.0149795 + 0.341724i
\(708\) −6.66710 + 0.754220i −0.250565 + 0.0283453i
\(709\) −1.09899 0.904081i −0.0412736 0.0339535i 0.614436 0.788966i \(-0.289384\pi\)
−0.655710 + 0.755013i \(0.727631\pi\)
\(710\) −4.08976 1.85369i −0.153486 0.0695677i
\(711\) 26.7610 + 2.35066i 1.00362 + 0.0881568i
\(712\) 20.3988 + 22.6932i 0.764476 + 0.850463i
\(713\) 2.35268 + 0.477551i 0.0881086 + 0.0178844i
\(714\) 17.8898 12.2597i 0.669510 0.458806i
\(715\) 9.43761 + 6.82080i 0.352947 + 0.255083i
\(716\) −15.6071 13.1701i −0.583265 0.492189i
\(717\) 7.84141 + 10.4315i 0.292843 + 0.389573i
\(718\) 9.81686 1.23517i 0.366362 0.0460960i
\(719\) −8.99965 5.22101i −0.335630 0.194711i 0.324456 0.945901i \(-0.394819\pi\)
−0.660086 + 0.751190i \(0.729480\pi\)
\(720\) −3.20472 0.819412i −0.119433 0.0305377i
\(721\) 1.36009 10.2894i 0.0506524 0.383199i
\(722\) 34.5175 + 1.72957i 1.28461 + 0.0643681i
\(723\) 54.0353 23.6809i 2.00960 0.880701i
\(724\) 4.86163 + 0.673607i 0.180681 + 0.0250344i
\(725\) −10.2554 19.0251i −0.380876 0.706575i
\(726\) −54.6091 + 26.4188i −2.02674 + 0.980493i
\(727\) −49.3559 3.09281i −1.83051 0.114706i −0.890315 0.455346i \(-0.849516\pi\)
−0.940194 + 0.340640i \(0.889356\pi\)
\(728\) −2.26029 4.45673i −0.0837718 0.165177i
\(729\) 1.85122 4.01727i 0.0685638 0.148788i
\(730\) 13.0765 2.99692i 0.483982 0.110921i
\(731\) 7.19198 9.56759i 0.266005 0.353870i
\(732\) −14.7174 + 25.7387i −0.543970 + 0.951328i
\(733\) 0.181085 + 0.211889i 0.00668851 + 0.00782628i 0.763537 0.645764i \(-0.223461\pi\)
−0.756848 + 0.653590i \(0.773262\pi\)
\(734\) −23.4170 28.1052i −0.864338 1.03738i
\(735\) 6.66874 + 17.8951i 0.245980 + 0.660072i
\(736\) −2.18547 0.0273555i −0.0805577 0.00100834i
\(737\) −24.8606 + 29.0896i −0.915752 + 1.07153i
\(738\) 8.35445 + 23.3060i 0.307532 + 0.857906i
\(739\) −40.2111 27.5561i −1.47919 1.01367i −0.989934 0.141528i \(-0.954798\pi\)
−0.489255 0.872141i \(-0.662731\pi\)
\(740\) −10.0408 10.3600i −0.369107 0.380841i
\(741\) −23.0180 2.60393i −0.845589 0.0956578i
\(742\) 0.222792 3.23127i 0.00817894 0.118624i
\(743\) 11.0475 + 15.9066i 0.405295 + 0.583558i 0.970413 0.241452i \(-0.0776236\pi\)
−0.565118 + 0.825010i \(0.691169\pi\)
\(744\) 33.1433 + 10.2666i 1.21509 + 0.376393i
\(745\) 9.65023 + 2.59656i 0.353557 + 0.0951307i
\(746\) 50.6753 22.9686i 1.85535 0.840941i
\(747\) 0.0517202 0.0181756i 0.00189234 0.000665009i
\(748\) 31.3150 84.0317i 1.14499 3.07250i
\(749\) −3.98209 + 10.2902i −0.145502 + 0.375996i
\(750\) −38.8374 42.1330i −1.41814 1.53848i
\(751\) 26.9450 + 43.2682i 0.983237 + 1.57888i 0.803621 + 0.595141i \(0.202904\pi\)
0.179616 + 0.983737i \(0.442515\pi\)
\(752\) 7.20668 + 2.84081i 0.262800 + 0.103594i
\(753\) 2.08437 + 66.5912i 0.0759586 + 2.42672i
\(754\) −18.2297 + 22.4447i −0.663887 + 0.817388i
\(755\) −14.8832 + 18.3244i −0.541653 + 0.666893i
\(756\) 0.212487 + 6.78850i 0.00772807 + 0.246895i
\(757\) −28.6071 11.2767i −1.03974 0.409858i −0.215744 0.976450i \(-0.569218\pi\)
−0.823998 + 0.566592i \(0.808262\pi\)
\(758\) −2.06976 3.32362i −0.0751772 0.120719i
\(759\) −3.86383 4.19170i −0.140248 0.152149i
\(760\) 10.0543 25.9814i 0.364707 0.942446i
\(761\) −3.22449 + 8.65270i −0.116888 + 0.313660i −0.982276 0.187442i \(-0.939980\pi\)
0.865388 + 0.501102i \(0.167072\pi\)
\(762\) 51.5729 18.1238i 1.86829 0.656556i
\(763\) 8.94731 4.05538i 0.323915 0.146815i
\(764\) 18.8050 + 5.05981i 0.680340 + 0.183057i
\(765\) −13.0080 4.02943i −0.470305 0.145684i
\(766\) −36.6250 52.7340i −1.32331 1.90536i
\(767\) −0.107529 + 1.55956i −0.00388266 + 0.0563124i
\(768\) −51.4542 5.82079i −1.85669 0.210040i
\(769\) 32.2497 + 33.2749i 1.16295 + 1.19993i 0.976050 + 0.217547i \(0.0698056\pi\)
0.186904 + 0.982378i \(0.440155\pi\)
\(770\) −9.74017 6.67481i −0.351012 0.240543i
\(771\) −10.5926 29.5495i −0.381481 1.06420i
\(772\) 29.8270 34.9008i 1.07350 1.25611i
\(773\) 13.6966 + 0