Properties

Label 43.5.h.a.3.14
Level 43
Weight 5
Character 43.3
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.14
Character \(\chi\) \(=\) 43.3
Dual form 43.5.h.a.29.14

$q$-expansion

\(f(q)\) \(=\) \(q+(3.43387 - 7.13051i) q^{2} +(-5.05054 - 0.378485i) q^{3} +(-29.0769 - 36.4612i) q^{4} +(-5.90976 + 19.1590i) q^{5} +(-20.0417 + 34.7132i) q^{6} +(59.2015 - 34.1800i) q^{7} +(-236.380 + 53.9522i) q^{8} +(-54.7306 - 8.24932i) q^{9} +O(q^{10})\) \(q+(3.43387 - 7.13051i) q^{2} +(-5.05054 - 0.378485i) q^{3} +(-29.0769 - 36.4612i) q^{4} +(-5.90976 + 19.1590i) q^{5} +(-20.0417 + 34.7132i) q^{6} +(59.2015 - 34.1800i) q^{7} +(-236.380 + 53.9522i) q^{8} +(-54.7306 - 8.24932i) q^{9} +(116.320 + 107.929i) q^{10} +(78.0594 - 97.8834i) q^{11} +(133.054 + 195.154i) q^{12} +(112.719 - 104.588i) q^{13} +(-40.4304 - 539.507i) q^{14} +(37.0989 - 94.5264i) q^{15} +(-260.954 + 1143.31i) q^{16} +(-98.9161 + 30.5116i) q^{17} +(-246.760 + 361.930i) q^{18} +(-55.9817 - 371.415i) q^{19} +(870.398 - 341.606i) q^{20} +(-311.936 + 150.220i) q^{21} +(-429.912 - 892.722i) q^{22} +(37.7513 + 96.1889i) q^{23} +(1214.27 - 183.021i) q^{24} +(184.258 + 125.625i) q^{25} +(-358.703 - 1162.89i) q^{26} +(673.252 + 153.665i) q^{27} +(-2967.64 - 1164.71i) q^{28} +(428.042 - 32.0773i) q^{29} +(-546.629 - 589.126i) q^{30} +(772.247 - 526.509i) q^{31} +(4223.33 + 3367.99i) q^{32} +(-431.289 + 464.819i) q^{33} +(-122.102 + 810.095i) q^{34} +(304.987 + 1336.24i) q^{35} +(1290.62 + 2235.41i) q^{36} +(320.928 + 185.288i) q^{37} +(-2840.61 - 876.212i) q^{38} +(-608.876 + 485.563i) q^{39} +(363.281 - 4847.65i) q^{40} +(-647.171 - 311.661i) q^{41} +2740.10i q^{42} +(89.9360 + 1846.81i) q^{43} -5838.67 q^{44} +(481.494 - 999.832i) q^{45} +(815.509 + 61.1140i) q^{46} +(544.183 + 682.384i) q^{47} +(1750.68 - 5675.58i) q^{48} +(1136.05 - 1967.69i) q^{49} +(1528.49 - 882.473i) q^{50} +(511.128 - 116.662i) q^{51} +(-7090.92 - 1068.78i) q^{52} +(-84.7561 - 78.6421i) q^{53} +(3407.57 - 4272.96i) q^{54} +(1414.03 + 2074.01i) q^{55} +(-12150.0 + 11273.5i) q^{56} +(142.163 + 1897.03i) q^{57} +(1241.11 - 3162.30i) q^{58} +(-1272.65 + 5575.82i) q^{59} +(-4525.27 + 1395.86i) q^{60} +(1143.55 - 1677.28i) q^{61} +(-1102.48 - 7314.48i) q^{62} +(-3522.10 + 1382.32i) q^{63} +(21612.6 - 10408.1i) q^{64} +(1337.66 + 2777.67i) q^{65} +(1833.41 + 4671.44i) q^{66} +(-6265.51 + 944.373i) q^{67} +(3988.66 + 2719.42i) q^{68} +(-154.258 - 500.094i) q^{69} +(10575.3 + 2413.75i) q^{70} +(5250.49 + 2060.67i) q^{71} +(13382.3 - 1002.86i) q^{72} +(-4230.48 - 4559.37i) q^{73} +(2423.23 - 1652.13i) q^{74} +(-883.054 - 704.212i) q^{75} +(-11914.5 + 12840.7i) q^{76} +(1275.58 - 8462.91i) q^{77} +(1371.51 + 6008.96i) q^{78} +(-2394.39 - 4147.21i) q^{79} +(-20362.5 - 11756.3i) q^{80} +(941.955 + 290.555i) q^{81} +(-4444.61 + 3544.46i) q^{82} +(429.224 - 5727.59i) q^{83} +(14547.3 + 7005.63i) q^{84} -2075.45i q^{85} +(13477.5 + 5700.43i) q^{86} -2173.98 q^{87} +(-13170.7 + 27349.2i) q^{88} +(199.529 + 14.9526i) q^{89} +(-5475.92 - 6866.59i) q^{90} +(3098.32 - 10044.5i) q^{91} +(2409.47 - 4173.33i) q^{92} +(-4099.54 + 2366.87i) q^{93} +(6734.41 - 1537.08i) q^{94} +(7446.76 + 1122.42i) q^{95} +(-20055.3 - 18608.6i) q^{96} +(721.879 - 905.207i) q^{97} +(-10129.6 - 14857.4i) q^{98} +(-5079.71 + 4713.28i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.43387 7.13051i 0.858468 1.78263i 0.297688 0.954663i \(-0.403785\pi\)
0.560781 0.827964i \(-0.310501\pi\)
\(3\) −5.05054 0.378485i −0.561171 0.0420539i −0.208874 0.977942i \(-0.566980\pi\)
−0.352296 + 0.935889i \(0.614599\pi\)
\(4\) −29.0769 36.4612i −1.81730 2.27883i
\(5\) −5.90976 + 19.1590i −0.236391 + 0.766359i 0.757186 + 0.653199i \(0.226574\pi\)
−0.993577 + 0.113160i \(0.963903\pi\)
\(6\) −20.0417 + 34.7132i −0.556714 + 0.964256i
\(7\) 59.2015 34.1800i 1.20819 0.697551i 0.245830 0.969313i \(-0.420940\pi\)
0.962365 + 0.271762i \(0.0876063\pi\)
\(8\) −236.380 + 53.9522i −3.69344 + 0.843003i
\(9\) −54.7306 8.24932i −0.675687 0.101843i
\(10\) 116.320 + 107.929i 1.16320 + 1.07929i
\(11\) 78.0594 97.8834i 0.645119 0.808954i −0.346514 0.938045i \(-0.612635\pi\)
0.991633 + 0.129091i \(0.0412060\pi\)
\(12\) 133.054 + 195.154i 0.923984 + 1.35524i
\(13\) 112.719 104.588i 0.666976 0.618863i −0.272224 0.962234i \(-0.587759\pi\)
0.939200 + 0.343371i \(0.111569\pi\)
\(14\) −40.4304 539.507i −0.206278 2.75259i
\(15\) 37.0989 94.5264i 0.164884 0.420117i
\(16\) −260.954 + 1143.31i −1.01935 + 4.46607i
\(17\) −98.9161 + 30.5116i −0.342270 + 0.105576i −0.461125 0.887335i \(-0.652554\pi\)
0.118855 + 0.992912i \(0.462078\pi\)
\(18\) −246.760 + 361.930i −0.761605 + 1.11707i
\(19\) −55.9817 371.415i −0.155074 1.02885i −0.922021 0.387139i \(-0.873463\pi\)
0.766947 0.641710i \(-0.221775\pi\)
\(20\) 870.398 341.606i 2.17599 0.854015i
\(21\) −311.936 + 150.220i −0.707338 + 0.340636i
\(22\) −429.912 892.722i −0.888249 1.84447i
\(23\) 37.7513 + 96.1889i 0.0713636 + 0.181832i 0.962105 0.272679i \(-0.0879096\pi\)
−0.890742 + 0.454510i \(0.849814\pi\)
\(24\) 1214.27 183.021i 2.10810 0.317745i
\(25\) 184.258 + 125.625i 0.294813 + 0.201000i
\(26\) −358.703 1162.89i −0.530625 1.72024i
\(27\) 673.252 + 153.665i 0.923528 + 0.210789i
\(28\) −2967.64 1164.71i −3.78525 1.48560i
\(29\) 428.042 32.0773i 0.508967 0.0381418i 0.182228 0.983256i \(-0.441669\pi\)
0.326739 + 0.945114i \(0.394050\pi\)
\(30\) −546.629 589.126i −0.607365 0.654584i
\(31\) 772.247 526.509i 0.803587 0.547876i −0.0904334 0.995903i \(-0.528825\pi\)
0.894020 + 0.448026i \(0.147873\pi\)
\(32\) 4223.33 + 3367.99i 4.12435 + 3.28906i
\(33\) −431.289 + 464.819i −0.396042 + 0.426831i
\(34\) −122.102 + 810.095i −0.105625 + 0.700775i
\(35\) 304.987 + 1336.24i 0.248969 + 1.09081i
\(36\) 1290.62 + 2235.41i 0.995845 + 1.72485i
\(37\) 320.928 + 185.288i 0.234425 + 0.135346i 0.612612 0.790384i \(-0.290119\pi\)
−0.378186 + 0.925729i \(0.623452\pi\)
\(38\) −2840.61 876.212i −1.96718 0.606795i
\(39\) −608.876 + 485.563i −0.400313 + 0.319239i
\(40\) 363.281 4847.65i 0.227051 3.02978i
\(41\) −647.171 311.661i −0.384992 0.185402i 0.231369 0.972866i \(-0.425679\pi\)
−0.616361 + 0.787464i \(0.711394\pi\)
\(42\) 2740.10i 1.55335i
\(43\) 89.9360 + 1846.81i 0.0486404 + 0.998816i
\(44\) −5838.67 −3.01584
\(45\) 481.494 999.832i 0.237775 0.493744i
\(46\) 815.509 + 61.1140i 0.385401 + 0.0288818i
\(47\) 544.183 + 682.384i 0.246348 + 0.308911i 0.889597 0.456746i \(-0.150985\pi\)
−0.643249 + 0.765657i \(0.722414\pi\)
\(48\) 1750.68 5675.58i 0.759845 2.46336i
\(49\) 1136.05 1967.69i 0.473155 0.819529i
\(50\) 1528.49 882.473i 0.611395 0.352989i
\(51\) 511.128 116.662i 0.196512 0.0448526i
\(52\) −7090.92 1068.78i −2.62238 0.395260i
\(53\) −84.7561 78.6421i −0.0301730 0.0279965i 0.664942 0.746895i \(-0.268456\pi\)
−0.695115 + 0.718898i \(0.744647\pi\)
\(54\) 3407.57 4272.96i 1.16858 1.46535i
\(55\) 1414.03 + 2074.01i 0.467449 + 0.685622i
\(56\) −12150.0 + 11273.5i −3.87435 + 3.59487i
\(57\) 142.163 + 1897.03i 0.0437559 + 0.583882i
\(58\) 1241.11 3162.30i 0.368940 0.940043i
\(59\) −1272.65 + 5575.82i −0.365598 + 1.60179i 0.373127 + 0.927780i \(0.378286\pi\)
−0.738725 + 0.674007i \(0.764572\pi\)
\(60\) −4525.27 + 1395.86i −1.25702 + 0.387739i
\(61\) 1143.55 1677.28i 0.307324 0.450761i −0.641243 0.767338i \(-0.721581\pi\)
0.948567 + 0.316576i \(0.102533\pi\)
\(62\) −1102.48 7314.48i −0.286806 1.90283i
\(63\) −3522.10 + 1382.32i −0.887402 + 0.348280i
\(64\) 21612.6 10408.1i 5.27652 2.54104i
\(65\) 1337.66 + 2777.67i 0.316605 + 0.657437i
\(66\) 1833.41 + 4671.44i 0.420892 + 1.07242i
\(67\) −6265.51 + 944.373i −1.39575 + 0.210375i −0.803463 0.595355i \(-0.797012\pi\)
−0.592284 + 0.805730i \(0.701773\pi\)
\(68\) 3988.66 + 2719.42i 0.862600 + 0.588110i
\(69\) −154.258 500.094i −0.0324004 0.105040i
\(70\) 10575.3 + 2413.75i 2.15823 + 0.492602i
\(71\) 5250.49 + 2060.67i 1.04156 + 0.408781i 0.823597 0.567176i \(-0.191964\pi\)
0.217961 + 0.975957i \(0.430059\pi\)
\(72\) 13382.3 1002.86i 2.58146 0.193454i
\(73\) −4230.48 4559.37i −0.793859 0.855577i 0.198354 0.980131i \(-0.436441\pi\)
−0.992213 + 0.124554i \(0.960250\pi\)
\(74\) 2423.23 1652.13i 0.442518 0.301703i
\(75\) −883.054 704.212i −0.156987 0.125193i
\(76\) −11914.5 + 12840.7i −2.06275 + 2.22312i
\(77\) 1275.58 8462.91i 0.215142 1.42738i
\(78\) 1371.51 + 6008.96i 0.225428 + 0.987666i
\(79\) −2394.39 4147.21i −0.383655 0.664510i 0.607927 0.793993i \(-0.292002\pi\)
−0.991582 + 0.129483i \(0.958668\pi\)
\(80\) −20362.5 11756.3i −3.18165 1.83692i
\(81\) 941.955 + 290.555i 0.143569 + 0.0442851i
\(82\) −4444.61 + 3544.46i −0.661006 + 0.527135i
\(83\) 429.224 5727.59i 0.0623056 0.831411i −0.875271 0.483633i \(-0.839317\pi\)
0.937577 0.347778i \(-0.113064\pi\)
\(84\) 14547.3 + 7005.63i 2.06170 + 0.992862i
\(85\) 2075.45i 0.287259i
\(86\) 13477.5 + 5700.43i 1.82227 + 0.770745i
\(87\) −2173.98 −0.287222
\(88\) −13170.7 + 27349.2i −1.70076 + 3.53166i
\(89\) 199.529 + 14.9526i 0.0251899 + 0.00188772i 0.0873191 0.996180i \(-0.472170\pi\)
−0.0621292 + 0.998068i \(0.519789\pi\)
\(90\) −5475.92 6866.59i −0.676040 0.847727i
\(91\) 3098.32 10044.5i 0.374148 1.21296i
\(92\) 2409.47 4173.33i 0.284673 0.493068i
\(93\) −4099.54 + 2366.87i −0.473990 + 0.273658i
\(94\) 6734.41 1537.08i 0.762156 0.173957i
\(95\) 7446.76 + 1122.42i 0.825126 + 0.124368i
\(96\) −20055.3 18608.6i −2.17614 2.01917i
\(97\) 721.879 905.207i 0.0767221 0.0962065i −0.741989 0.670412i \(-0.766117\pi\)
0.818711 + 0.574205i \(0.194689\pi\)
\(98\) −10129.6 14857.4i −1.05473 1.54700i
\(99\) −5079.71 + 4713.28i −0.518285 + 0.480898i
\(100\) −777.203 10371.0i −0.0777203 1.03710i
\(101\) 2959.00 7539.42i 0.290070 0.739086i −0.709344 0.704862i \(-0.751009\pi\)
0.999414 0.0342241i \(-0.0108960\pi\)
\(102\) 923.291 4045.20i 0.0887438 0.388812i
\(103\) 16550.4 5105.13i 1.56003 0.481207i 0.609751 0.792593i \(-0.291269\pi\)
0.950284 + 0.311386i \(0.100793\pi\)
\(104\) −21001.8 + 30803.9i −1.94173 + 2.84800i
\(105\) −1034.60 6864.14i −0.0938416 0.622598i
\(106\) −851.800 + 334.307i −0.0758099 + 0.0297532i
\(107\) −19121.9 + 9208.60i −1.67018 + 0.804315i −0.672225 + 0.740347i \(0.734661\pi\)
−0.997952 + 0.0639677i \(0.979625\pi\)
\(108\) −13973.2 29015.7i −1.19798 2.48763i
\(109\) −1955.34 4982.13i −0.164577 0.419336i 0.824665 0.565621i \(-0.191363\pi\)
−0.989242 + 0.146285i \(0.953268\pi\)
\(110\) 19644.3 2960.91i 1.62350 0.244703i
\(111\) −1550.73 1057.27i −0.125861 0.0858105i
\(112\) 23629.6 + 76605.2i 1.88374 + 6.10692i
\(113\) 14230.5 + 3248.03i 1.11446 + 0.254368i 0.739822 0.672803i \(-0.234910\pi\)
0.374638 + 0.927171i \(0.377767\pi\)
\(114\) 14015.0 + 5500.47i 1.07841 + 0.423243i
\(115\) −2065.98 + 154.824i −0.156218 + 0.0117069i
\(116\) −13615.7 14674.2i −1.01187 1.09053i
\(117\) −7031.96 + 4794.31i −0.513694 + 0.350231i
\(118\) 35388.4 + 28221.3i 2.54154 + 2.02681i
\(119\) −4813.10 + 5187.29i −0.339884 + 0.366308i
\(120\) −3669.53 + 24345.7i −0.254828 + 1.69067i
\(121\) −229.958 1007.51i −0.0157065 0.0688146i
\(122\) −8033.07 13913.7i −0.539712 0.934809i
\(123\) 3150.60 + 1819.00i 0.208249 + 0.120233i
\(124\) −41651.7 12847.9i −2.70888 0.835578i
\(125\) −13293.0 + 10600.8i −0.850750 + 0.678450i
\(126\) −2237.78 + 29861.1i −0.140954 + 1.88089i
\(127\) −259.644 125.038i −0.0160980 0.00775237i 0.425817 0.904809i \(-0.359987\pi\)
−0.441915 + 0.897057i \(0.645701\pi\)
\(128\) 103420.i 6.31223i
\(129\) 244.766 9361.43i 0.0147086 0.562552i
\(130\) 24399.6 1.44376
\(131\) −4277.18 + 8881.65i −0.249238 + 0.517548i −0.987626 0.156828i \(-0.949873\pi\)
0.738388 + 0.674376i \(0.235587\pi\)
\(132\) 29488.4 + 2209.85i 1.69240 + 0.126828i
\(133\) −16009.2 20074.8i −0.905035 1.13488i
\(134\) −14781.1 + 47919.1i −0.823184 + 2.66870i
\(135\) −6922.83 + 11990.7i −0.379854 + 0.657926i
\(136\) 21735.6 12549.1i 1.17515 0.678475i
\(137\) 15861.1 3620.19i 0.845070 0.192882i 0.221999 0.975047i \(-0.428742\pi\)
0.623071 + 0.782165i \(0.285885\pi\)
\(138\) −4095.63 617.317i −0.215061 0.0324153i
\(139\) 13564.2 + 12585.7i 0.702045 + 0.651402i 0.948144 0.317842i \(-0.102958\pi\)
−0.246099 + 0.969245i \(0.579149\pi\)
\(140\) 39852.8 49973.8i 2.03330 2.54968i
\(141\) −2490.15 3652.37i −0.125253 0.183712i
\(142\) 32723.1 30362.6i 1.62285 1.50578i
\(143\) −1438.64 19197.4i −0.0703528 0.938793i
\(144\) 23713.7 60421.5i 1.14360 2.91385i
\(145\) −1915.06 + 8390.41i −0.0910847 + 0.399068i
\(146\) −47037.5 + 14509.2i −2.20668 + 0.680670i
\(147\) −6482.38 + 9507.91i −0.299985 + 0.439998i
\(148\) −2575.76 17089.0i −0.117593 0.780179i
\(149\) −31099.7 + 12205.7i −1.40082 + 0.549783i −0.941054 0.338256i \(-0.890163\pi\)
−0.459769 + 0.888038i \(0.652068\pi\)
\(150\) −8053.69 + 3878.45i −0.357942 + 0.172376i
\(151\) 5807.15 + 12058.7i 0.254688 + 0.528866i 0.988634 0.150342i \(-0.0480376\pi\)
−0.733946 + 0.679208i \(0.762323\pi\)
\(152\) 33271.6 + 84774.7i 1.44008 + 3.66926i
\(153\) 5665.44 853.928i 0.242020 0.0364786i
\(154\) −55964.7 38156.1i −2.35979 1.60888i
\(155\) 5523.58 + 17907.0i 0.229910 + 0.745349i
\(156\) 35408.4 + 8081.74i 1.45498 + 0.332090i
\(157\) 14480.8 + 5683.31i 0.587482 + 0.230570i 0.640416 0.768028i \(-0.278762\pi\)
−0.0529338 + 0.998598i \(0.516857\pi\)
\(158\) −37793.7 + 2832.25i −1.51393 + 0.113453i
\(159\) 398.299 + 429.264i 0.0157549 + 0.0169797i
\(160\) −89486.2 + 61010.7i −3.49555 + 2.38323i
\(161\) 5522.67 + 4404.18i 0.213058 + 0.169908i
\(162\) 5306.36 5718.89i 0.202193 0.217912i
\(163\) 1695.30 11247.6i 0.0638076 0.423336i −0.934007 0.357255i \(-0.883713\pi\)
0.997814 0.0660803i \(-0.0210493\pi\)
\(164\) 7454.16 + 32658.8i 0.277147 + 1.21426i
\(165\) −6356.65 11010.0i −0.233486 0.404409i
\(166\) −39366.8 22728.4i −1.42861 0.824808i
\(167\) 35708.6 + 11014.6i 1.28038 + 0.394946i 0.859018 0.511946i \(-0.171075\pi\)
0.421364 + 0.906891i \(0.361551\pi\)
\(168\) 65630.7 52338.8i 2.32535 1.85441i
\(169\) −367.433 + 4903.05i −0.0128648 + 0.171669i
\(170\) −14799.0 7126.83i −0.512076 0.246603i
\(171\) 20789.6i 0.710973i
\(172\) 64722.0 56978.7i 2.18774 1.92600i
\(173\) 17248.0 0.576298 0.288149 0.957586i \(-0.406960\pi\)
0.288149 + 0.957586i \(0.406960\pi\)
\(174\) −7465.17 + 15501.6i −0.246571 + 0.512009i
\(175\) 15202.2 + 1139.25i 0.496399 + 0.0371999i
\(176\) 91541.4 + 114789.i 2.95524 + 3.70575i
\(177\) 8537.91 27679.2i 0.272524 0.883502i
\(178\) 791.777 1371.40i 0.0249898 0.0432836i
\(179\) −30502.6 + 17610.7i −0.951985 + 0.549629i −0.893697 0.448671i \(-0.851898\pi\)
−0.0582881 + 0.998300i \(0.518564\pi\)
\(180\) −50455.4 + 11516.1i −1.55727 + 0.355436i
\(181\) −32649.7 4921.15i −0.996602 0.150214i −0.369567 0.929204i \(-0.620494\pi\)
−0.627036 + 0.778991i \(0.715732\pi\)
\(182\) −60983.2 56584.1i −1.84106 1.70825i
\(183\) −6410.38 + 8038.36i −0.191417 + 0.240030i
\(184\) −14113.3 20700.4i −0.416862 0.611424i
\(185\) −5446.54 + 5053.65i −0.159139 + 0.147660i
\(186\) 2799.70 + 37359.3i 0.0809254 + 1.07987i
\(187\) −4734.76 + 12064.0i −0.135399 + 0.344990i
\(188\) 9057.43 39683.2i 0.256265 1.12277i
\(189\) 45109.8 13914.5i 1.26284 0.389534i
\(190\) 33574.7 49245.0i 0.930046 1.36413i
\(191\) 2005.62 + 13306.5i 0.0549772 + 0.364750i 0.999356 + 0.0358897i \(0.0114265\pi\)
−0.944379 + 0.328860i \(0.893335\pi\)
\(192\) −113095. + 44386.3i −3.06789 + 1.20406i
\(193\) 18183.4 8756.64i 0.488157 0.235084i −0.173580 0.984820i \(-0.555534\pi\)
0.661737 + 0.749736i \(0.269819\pi\)
\(194\) −3975.75 8255.73i −0.105637 0.219357i
\(195\) −5704.57 14535.0i −0.150022 0.382249i
\(196\) −104777. + 15792.6i −2.72743 + 0.411094i
\(197\) 39214.6 + 26736.1i 1.01045 + 0.688914i 0.950960 0.309315i \(-0.100100\pi\)
0.0594914 + 0.998229i \(0.481052\pi\)
\(198\) 16165.0 + 52405.7i 0.412331 + 1.33674i
\(199\) 5906.96 + 1348.23i 0.149162 + 0.0340452i 0.296450 0.955048i \(-0.404197\pi\)
−0.147288 + 0.989094i \(0.547054\pi\)
\(200\) −50332.6 19754.1i −1.25832 0.493852i
\(201\) 32001.6 2398.19i 0.792099 0.0593596i
\(202\) −43599.1 46988.6i −1.06850 1.15157i
\(203\) 24244.3 16529.5i 0.588326 0.401114i
\(204\) −19115.6 15244.2i −0.459333 0.366306i
\(205\) 9795.74 10557.3i 0.233093 0.251215i
\(206\) 20429.9 135543.i 0.481427 3.19406i
\(207\) −1272.66 5575.90i −0.0297011 0.130129i
\(208\) 90162.3 + 156166.i 2.08400 + 3.60960i
\(209\) −40725.2 23512.7i −0.932332 0.538282i
\(210\) −52497.6 16193.4i −1.19042 0.367196i
\(211\) 30617.9 24417.0i 0.687719 0.548437i −0.216090 0.976373i \(-0.569331\pi\)
0.903809 + 0.427936i \(0.140759\pi\)
\(212\) −402.949 + 5376.98i −0.00896557 + 0.119637i
\(213\) −25737.9 12394.7i −0.567301 0.273198i
\(214\) 167970.i 3.66778i
\(215\) −35914.5 9191.14i −0.776950 0.198835i
\(216\) −167434. −3.58869
\(217\) 27722.1 57565.6i 0.588717 1.22248i
\(218\) −42239.5 3165.41i −0.888804 0.0666066i
\(219\) 19640.5 + 24628.4i 0.409510 + 0.513510i
\(220\) 34505.2 111863.i 0.712917 2.31122i
\(221\) −7958.58 + 13784.7i −0.162949 + 0.282236i
\(222\) −12863.9 + 7426.98i −0.261016 + 0.150698i
\(223\) −38083.5 + 8692.32i −0.765821 + 0.174794i −0.587550 0.809188i \(-0.699908\pi\)
−0.178271 + 0.983981i \(0.557050\pi\)
\(224\) 365146. + 55036.8i 7.27729 + 1.09688i
\(225\) −9048.23 8395.53i −0.178730 0.165838i
\(226\) 72025.9 90317.7i 1.41017 1.76830i
\(227\) 7581.25 + 11119.7i 0.147126 + 0.215794i 0.892726 0.450599i \(-0.148790\pi\)
−0.745600 + 0.666393i \(0.767837\pi\)
\(228\) 65034.4 60343.2i 1.25105 1.16080i
\(229\) −6037.31 80562.4i −0.115126 1.53625i −0.693489 0.720468i \(-0.743927\pi\)
0.578363 0.815780i \(-0.303692\pi\)
\(230\) −5990.35 + 15263.2i −0.113239 + 0.288528i
\(231\) −9645.45 + 42259.5i −0.180758 + 0.791954i
\(232\) −99449.8 + 30676.2i −1.84769 + 0.569936i
\(233\) −20696.3 + 30355.9i −0.381224 + 0.559153i −0.968113 0.250514i \(-0.919400\pi\)
0.586889 + 0.809668i \(0.300353\pi\)
\(234\) 10039.0 + 66604.5i 0.183341 + 1.21639i
\(235\) −16289.8 + 6393.27i −0.294971 + 0.115768i
\(236\) 240306. 115725.i 4.31460 2.07780i
\(237\) 10523.3 + 21851.9i 0.187351 + 0.389038i
\(238\) 20460.4 + 52132.3i 0.361211 + 0.920350i
\(239\) 54942.7 8281.27i 0.961864 0.144978i 0.350706 0.936486i \(-0.385942\pi\)
0.611159 + 0.791508i \(0.290704\pi\)
\(240\) 98392.1 + 67082.6i 1.70820 + 1.16463i
\(241\) −10703.0 34698.3i −0.184277 0.597413i −0.999825 0.0187224i \(-0.994040\pi\)
0.815547 0.578691i \(-0.196436\pi\)
\(242\) −7973.74 1819.95i −0.136154 0.0310763i
\(243\) −56716.6 22259.6i −0.960500 0.376969i
\(244\) −94406.7 + 7074.81i −1.58571 + 0.118832i
\(245\) 30985.2 + 33394.1i 0.516204 + 0.556336i
\(246\) 23789.2 16219.2i 0.393106 0.268015i
\(247\) −45155.7 36010.5i −0.740148 0.590248i
\(248\) −154137. + 166121.i −2.50614 + 2.70097i
\(249\) −4335.62 + 28765.0i −0.0699282 + 0.463943i
\(250\) 29942.7 + 131187.i 0.479083 + 2.09900i
\(251\) 18962.2 + 32843.6i 0.300983 + 0.521318i 0.976359 0.216156i \(-0.0693519\pi\)
−0.675376 + 0.737474i \(0.736019\pi\)
\(252\) 152813. + 88226.5i 2.40635 + 1.38931i
\(253\) 12362.1 + 3813.21i 0.193131 + 0.0595731i
\(254\) −1783.17 + 1422.03i −0.0276392 + 0.0220415i
\(255\) −785.527 + 10482.1i −0.0120804 + 0.161202i
\(256\) −391632. 188600.i −5.97584 2.87781i
\(257\) 74354.4i 1.12575i −0.826544 0.562873i \(-0.809696\pi\)
0.826544 0.562873i \(-0.190304\pi\)
\(258\) −65911.3 33891.3i −0.990194 0.509153i
\(259\) 25332.6 0.377642
\(260\) 62382.5 129539.i 0.922818 1.91625i
\(261\) −23691.6 1775.44i −0.347787 0.0260630i
\(262\) 48643.4 + 60996.9i 0.708633 + 0.888598i
\(263\) 861.383 2792.53i 0.0124533 0.0403726i −0.949133 0.314876i \(-0.898037\pi\)
0.961586 + 0.274503i \(0.0885134\pi\)
\(264\) 76870.1 133143.i 1.10293 1.91034i
\(265\) 2007.59 1159.08i 0.0285880 0.0165053i
\(266\) −198117. + 45219.0i −2.80001 + 0.639083i
\(267\) −1002.07 151.038i −0.0140564 0.00211867i
\(268\) 216614. + 200989.i 3.01590 + 2.79835i
\(269\) −84574.7 + 106053.i −1.16879 + 1.46561i −0.311899 + 0.950115i \(0.600965\pi\)
−0.856890 + 0.515500i \(0.827606\pi\)
\(270\) 61727.7 + 90537.8i 0.846744 + 1.24195i
\(271\) 7323.51 6795.23i 0.0997197 0.0925264i −0.628738 0.777617i \(-0.716428\pi\)
0.728457 + 0.685091i \(0.240238\pi\)
\(272\) −9071.76 121054.i −0.122618 1.63622i
\(273\) −19449.9 + 49557.4i −0.260970 + 0.664942i
\(274\) 28651.2 125529.i 0.381629 1.67203i
\(275\) 26679.6 8229.58i 0.352789 0.108821i
\(276\) −13748.7 + 20165.6i −0.180486 + 0.264724i
\(277\) −10048.7 66669.0i −0.130964 0.868890i −0.953764 0.300558i \(-0.902827\pi\)
0.822800 0.568332i \(-0.192411\pi\)
\(278\) 136321. 53501.9i 1.76389 0.692276i
\(279\) −46608.9 + 22445.7i −0.598771 + 0.288353i
\(280\) −144186. 299405.i −1.83910 3.81894i
\(281\) 11887.9 + 30289.9i 0.150554 + 0.383606i 0.986176 0.165698i \(-0.0529878\pi\)
−0.835622 + 0.549305i \(0.814893\pi\)
\(282\) −34594.1 + 5214.23i −0.435015 + 0.0655680i
\(283\) 82137.4 + 56000.3i 1.02558 + 0.699226i 0.954490 0.298244i \(-0.0964010\pi\)
0.0710864 + 0.997470i \(0.477353\pi\)
\(284\) −77533.4 251357.i −0.961285 3.11641i
\(285\) −37185.3 8487.31i −0.457807 0.104491i
\(286\) −141827. 55663.1i −1.73391 0.680511i
\(287\) −48966.1 + 3669.50i −0.594472 + 0.0445495i
\(288\) −203362. 219172.i −2.45180 2.64241i
\(289\) −60154.8 + 41012.9i −0.720236 + 0.491049i
\(290\) 53251.9 + 42466.9i 0.633197 + 0.504958i
\(291\) −3988.48 + 4298.56i −0.0471001 + 0.0507618i
\(292\) −43231.2 + 286821.i −0.507028 + 3.36391i
\(293\) 9289.49 + 40699.9i 0.108207 + 0.474087i 0.999775 + 0.0212002i \(0.00674875\pi\)
−0.891568 + 0.452887i \(0.850394\pi\)
\(294\) 45536.6 + 78871.7i 0.526824 + 0.912486i
\(295\) −99306.1 57334.4i −1.14112 0.658827i
\(296\) −85857.8 26483.6i −0.979933 0.302269i
\(297\) 67594.9 53905.1i 0.766304 0.611107i
\(298\) −19759.3 + 263670.i −0.222505 + 2.96912i
\(299\) 14315.5 + 6893.97i 0.160127 + 0.0771129i
\(300\) 52673.5i 0.585261i
\(301\) 68448.4 + 106260.i 0.755493 + 1.17283i
\(302\) 105926. 1.16141
\(303\) −17798.1 + 36958.2i −0.193860 + 0.402555i
\(304\) 439252. + 32917.4i 4.75298 + 0.356187i
\(305\) 25376.9 + 31821.7i 0.272797 + 0.342076i
\(306\) 13365.5 43329.8i 0.142739 0.462747i
\(307\) 26038.1 45099.3i 0.276269 0.478512i −0.694185 0.719796i \(-0.744235\pi\)
0.970455 + 0.241284i \(0.0775685\pi\)
\(308\) −345658. + 199566.i −3.64372 + 2.10370i
\(309\) −85520.7 + 19519.5i −0.895683 + 0.204434i
\(310\) 146653. + 22104.5i 1.52605 + 0.230015i
\(311\) 30439.1 + 28243.4i 0.314710 + 0.292009i 0.821673 0.569960i \(-0.193041\pi\)
−0.506962 + 0.861968i \(0.669232\pi\)
\(312\) 117729. 147628.i 1.20941 1.51655i
\(313\) −100269. 147067.i −1.02348 1.50116i −0.857134 0.515094i \(-0.827757\pi\)
−0.166342 0.986068i \(-0.553195\pi\)
\(314\) 90250.3 83740.1i 0.915355 0.849325i
\(315\) −5669.11 75649.0i −0.0571339 0.762399i
\(316\) −81590.9 + 207890.i −0.817086 + 2.08190i
\(317\) −1977.63 + 8664.54i −0.0196800 + 0.0862238i −0.983814 0.179191i \(-0.942652\pi\)
0.964134 + 0.265415i \(0.0855090\pi\)
\(318\) 4428.58 1366.04i 0.0437935 0.0135085i
\(319\) 30272.8 44402.1i 0.297490 0.436337i
\(320\) 71682.9 + 475585.i 0.700028 + 4.64438i
\(321\) 100061. 39271.0i 0.971079 0.381120i
\(322\) 50368.2 24256.1i 0.485786 0.233942i
\(323\) 16869.9 + 35030.8i 0.161699 + 0.335772i
\(324\) −16795.1 42793.2i −0.159990 0.407648i
\(325\) 33908.2 5110.84i 0.321024 0.0483866i
\(326\) −74379.7 50711.2i −0.699873 0.477165i
\(327\) 7989.86 + 25902.5i 0.0747211 + 0.242240i
\(328\) 169793. + 38754.2i 1.57824 + 0.360223i
\(329\) 55540.4 + 21798.0i 0.513118 + 0.201384i
\(330\) −100335. + 7519.08i −0.921351 + 0.0690457i
\(331\) −15129.4 16305.6i −0.138091 0.148827i 0.660220 0.751073i \(-0.270463\pi\)
−0.798311 + 0.602246i \(0.794273\pi\)
\(332\) −221316. + 150890.i −2.00787 + 1.36894i
\(333\) −16036.1 12788.4i −0.144614 0.115326i
\(334\) 201159. 216798.i 1.80321 1.94340i
\(335\) 18934.4 125622.i 0.168719 1.11937i
\(336\) −90348.1 395841.i −0.800278 3.50624i
\(337\) 40864.2 + 70778.9i 0.359818 + 0.623224i 0.987930 0.154899i \(-0.0495053\pi\)
−0.628112 + 0.778123i \(0.716172\pi\)
\(338\) 33699.6 + 19456.4i 0.294979 + 0.170306i
\(339\) −70642.5 21790.3i −0.614705 0.189611i
\(340\) −75673.4 + 60347.5i −0.654614 + 0.522038i
\(341\) 8744.64 116689.i 0.0752027 1.00351i
\(342\) 148240. + 71388.7i 1.26740 + 0.610348i
\(343\) 8812.14i 0.0749020i
\(344\) −120899. 431697.i −1.02166 3.64806i
\(345\) 10492.9 0.0881573
\(346\) 59227.5 122987.i 0.494733 1.02732i
\(347\) −96594.4 7238.75i −0.802219 0.0601180i −0.332691 0.943036i \(-0.607957\pi\)
−0.469528 + 0.882918i \(0.655576\pi\)
\(348\) 63212.5 + 79266.0i 0.521969 + 0.654528i
\(349\) −59159.0 + 191789.i −0.485702 + 1.57461i 0.298694 + 0.954349i \(0.403449\pi\)
−0.784396 + 0.620260i \(0.787027\pi\)
\(350\) 60325.9 104487.i 0.492456 0.852959i
\(351\) 91959.8 53093.0i 0.746421 0.430946i
\(352\) 659341. 150490.i 5.32139 1.21457i
\(353\) −139481. 21023.4i −1.11935 0.168715i −0.436804 0.899557i \(-0.643890\pi\)
−0.682547 + 0.730842i \(0.739128\pi\)
\(354\) −168049. 155927.i −1.34100 1.24427i
\(355\) −70509.5 + 88416.1i −0.559488 + 0.701576i
\(356\) −5256.49 7709.85i −0.0414759 0.0608339i
\(357\) 26272.0 24376.9i 0.206138 0.191268i
\(358\) 20831.1 + 277972.i 0.162535 + 2.16887i
\(359\) 6980.57 17786.2i 0.0541629 0.138005i −0.901231 0.433338i \(-0.857336\pi\)
0.955394 + 0.295333i \(0.0954308\pi\)
\(360\) −59872.4 + 262318.i −0.461978 + 2.02406i
\(361\) −10283.6 + 3172.08i −0.0789100 + 0.0243405i
\(362\) −147205. + 215910.i −1.12333 + 1.64762i
\(363\) 780.084 + 5175.52i 0.00592009 + 0.0392772i
\(364\) −456324. + 179094.i −3.44406 + 1.35169i
\(365\) 112354. 54106.8i 0.843340 0.406131i
\(366\) 35305.2 + 73312.0i 0.263558 + 0.547284i
\(367\) −65860.7 167810.i −0.488983 1.24591i −0.936195 0.351481i \(-0.885678\pi\)
0.447212 0.894428i \(-0.352417\pi\)
\(368\) −119825. + 18060.8i −0.884816 + 0.133365i
\(369\) 32849.1 + 22396.1i 0.241252 + 0.164483i
\(370\) 17332.4 + 56190.3i 0.126606 + 0.410447i
\(371\) −7705.68 1758.77i −0.0559839 0.0127780i
\(372\) 205501. + 80653.1i 1.48500 + 0.582821i
\(373\) −254924. + 19103.9i −1.83229 + 0.137311i −0.945656 0.325168i \(-0.894579\pi\)
−0.886630 + 0.462479i \(0.846960\pi\)
\(374\) 69763.6 + 75187.3i 0.498754 + 0.537528i
\(375\) 71148.8 48508.5i 0.505947 0.344949i
\(376\) −165450. 131942.i −1.17029 0.933271i
\(377\) 44893.5 48383.7i 0.315865 0.340421i
\(378\) 55683.6 369437.i 0.389712 2.58557i
\(379\) −2072.06 9078.27i −0.0144252 0.0632011i 0.967203 0.254005i \(-0.0817478\pi\)
−0.981628 + 0.190803i \(0.938891\pi\)
\(380\) −175604. 304155.i −1.21609 2.10633i
\(381\) 1264.02 + 729.780i 0.00870768 + 0.00502738i
\(382\) 101769. + 31391.5i 0.697410 + 0.215122i
\(383\) 122781. 97914.9i 0.837019 0.667500i −0.108131 0.994137i \(-0.534487\pi\)
0.945150 + 0.326637i \(0.105915\pi\)
\(384\) −39142.8 + 522324.i −0.265454 + 3.54224i
\(385\) 154602. + 74452.6i 1.04303 + 0.502295i
\(386\) 159726.i 1.07201i
\(387\) 10312.7 101819.i 0.0688572 0.679841i
\(388\) −53994.9 −0.358666
\(389\) −5585.48 + 11598.4i −0.0369115 + 0.0766474i −0.918609 0.395167i \(-0.870687\pi\)
0.881698 + 0.471815i \(0.156401\pi\)
\(390\) −123231. 9234.87i −0.810196 0.0607158i
\(391\) −6669.09 8362.78i −0.0436228 0.0547012i
\(392\) −162377. + 526415.i −1.05670 + 3.42575i
\(393\) 24963.6 43238.2i 0.161630 0.279952i
\(394\) 325300. 187812.i 2.09552 1.20985i
\(395\) 93606.6 21365.1i 0.599946 0.136934i
\(396\) 319554. + 48165.0i 2.03777 + 0.307144i
\(397\) 46530.5 + 43174.0i 0.295228 + 0.273931i 0.813854 0.581070i \(-0.197366\pi\)
−0.518626 + 0.855001i \(0.673556\pi\)
\(398\) 29897.3 37490.0i 0.188741 0.236673i
\(399\) 73256.8 + 107448.i 0.460153 + 0.674920i
\(400\) −191711. + 177882.i −1.19820 + 1.11176i
\(401\) 188.732 + 2518.45i 0.00117370 + 0.0156619i 0.997760 0.0668968i \(-0.0213098\pi\)
−0.996586 + 0.0825587i \(0.973691\pi\)
\(402\) 92789.1 236423.i 0.574176 1.46298i
\(403\) 31980.4 140115.i 0.196913 0.862731i
\(404\) −360935. + 111334.i −2.21140 + 0.682125i
\(405\) −11133.5 + 16329.8i −0.0678766 + 0.0995567i
\(406\) −34611.8 229634.i −0.209977 1.39311i
\(407\) 43188.1 16950.1i 0.260721 0.102325i
\(408\) −114526. + 55152.9i −0.687994 + 0.331320i
\(409\) 124840. + 259232.i 0.746287 + 1.54968i 0.832890 + 0.553439i \(0.186685\pi\)
−0.0866025 + 0.996243i \(0.527601\pi\)
\(410\) −41641.6 106101.i −0.247719 0.631178i
\(411\) −81477.3 + 12280.7i −0.482340 + 0.0727010i
\(412\) −667373. 455007.i −3.93165 2.68055i
\(413\) 115239. + 373596.i 0.675616 + 2.19029i
\(414\) −44129.2 10072.2i −0.257469 0.0587656i
\(415\) 107198. + 42072.2i 0.622431 + 0.244286i
\(416\) 828301. 62072.6i 4.78632 0.358685i
\(417\) −63743.0 68698.6i −0.366573 0.395072i
\(418\) −307503. + 209652.i −1.75994 + 1.19990i
\(419\) −164245. 130981.i −0.935543 0.746070i 0.0318128 0.999494i \(-0.489872\pi\)
−0.967355 + 0.253423i \(0.918443\pi\)
\(420\) −220192. + 237311.i −1.24825 + 1.34530i
\(421\) −34562.8 + 229309.i −0.195005 + 1.29377i 0.650379 + 0.759610i \(0.274610\pi\)
−0.845383 + 0.534160i \(0.820628\pi\)
\(422\) −68967.5 302166.i −0.387275 1.69676i
\(423\) −24154.3 41836.5i −0.134994 0.233816i
\(424\) 24277.6 + 14016.7i 0.135043 + 0.0779673i
\(425\) −22059.1 6804.33i −0.122126 0.0376710i
\(426\) −176761. + 140962.i −0.974020 + 0.776755i
\(427\) 10370.5 138384.i 0.0568778 0.758982i
\(428\) 891761. + 429449.i 4.86811 + 2.34436i
\(429\) 97501.6i 0.529782i
\(430\) −188863. + 224528.i −1.02144 + 1.21432i
\(431\) 87531.6 0.471206 0.235603 0.971849i \(-0.424294\pi\)
0.235603 + 0.971849i \(0.424294\pi\)
\(432\) −351375. + 729638.i −1.88280 + 3.90967i
\(433\) −121715. 9121.30i −0.649186 0.0486498i −0.253933 0.967222i \(-0.581724\pi\)
−0.395253 + 0.918572i \(0.629343\pi\)
\(434\) −315278. 395346.i −1.67384 2.09893i
\(435\) 12847.7 41651.3i 0.0678965 0.220115i
\(436\) −124799. + 216159.i −0.656507 + 1.13710i
\(437\) 33612.6 19406.2i 0.176011 0.101620i
\(438\) 243056. 55476.0i 1.26695 0.289173i
\(439\) 42925.1 + 6469.92i 0.222732 + 0.0335715i 0.259460 0.965754i \(-0.416455\pi\)
−0.0367280 + 0.999325i \(0.511694\pi\)
\(440\) −446146. 413963.i −2.30448 2.13824i
\(441\) −78408.6 + 98321.3i −0.403169 + 0.505557i
\(442\) 70963.0 + 104084.i 0.363235 + 0.532767i
\(443\) 88776.0 82372.1i 0.452364 0.419733i −0.420804 0.907152i \(-0.638252\pi\)
0.873168 + 0.487419i \(0.162062\pi\)
\(444\) 6541.01 + 87283.7i 0.0331802 + 0.442759i
\(445\) −1465.65 + 3734.41i −0.00740132 + 0.0188583i
\(446\) −68793.3 + 301403.i −0.345841 + 1.51523i
\(447\) 161690. 49874.7i 0.809222 0.249612i
\(448\) 923751. 1.35489e6i 4.60255 6.75071i
\(449\) −10983.0 72867.1i −0.0544787 0.361442i −0.999415 0.0341892i \(-0.989115\pi\)
0.944937 0.327253i \(-0.106123\pi\)
\(450\) −90934.9 + 35689.3i −0.449061 + 0.176244i
\(451\) −81024.2 + 39019.2i −0.398347 + 0.191834i
\(452\) −295352. 613305.i −1.44565 3.00193i
\(453\) −24765.2 63100.7i −0.120683 0.307495i
\(454\) 105322. 15874.7i 0.510984 0.0770184i
\(455\) 174132. + 118721.i 0.841116 + 0.573463i
\(456\) −135953. 440750.i −0.653824 2.11964i
\(457\) 112257. + 25622.0i 0.537505 + 0.122682i 0.482652 0.875812i \(-0.339674\pi\)
0.0548534 + 0.998494i \(0.482531\pi\)
\(458\) −595182. 233592.i −2.83739 1.11359i
\(459\) −71284.0 + 5342.00i −0.338351 + 0.0253559i
\(460\) 65717.4 + 70826.5i 0.310574 + 0.334719i
\(461\) 55209.2 37641.0i 0.259783 0.177117i −0.426424 0.904523i \(-0.640227\pi\)
0.686207 + 0.727407i \(0.259275\pi\)
\(462\) 268210. + 213891.i 1.25658 + 1.00209i
\(463\) −159145. + 171517.i −0.742387 + 0.800103i −0.985460 0.169905i \(-0.945654\pi\)
0.243074 + 0.970008i \(0.421844\pi\)
\(464\) −75024.7 + 497756.i −0.348472 + 2.31196i
\(465\) −21119.5 92530.6i −0.0976738 0.427937i
\(466\) 145384. + 251813.i 0.669493 + 1.15960i
\(467\) −17766.6 10257.5i −0.0814649 0.0470338i 0.458714 0.888584i \(-0.348310\pi\)
−0.540179 + 0.841550i \(0.681644\pi\)
\(468\) 379274. + 116990.i 1.73165 + 0.534144i
\(469\) −338649. + 270063.i −1.53959 + 1.22778i
\(470\) −10349.8 + 138108.i −0.0468528 + 0.625207i
\(471\) −70985.0 34184.6i −0.319981 0.154095i
\(472\) 1.38668e6i 6.22430i
\(473\) 187792. + 135358.i 0.839375 + 0.605008i
\(474\) 191951. 0.854344
\(475\) 36343.8 75468.8i 0.161081 0.334488i
\(476\) 329085. + 24661.5i 1.45243 + 0.108844i
\(477\) 3990.01 + 5003.31i 0.0175363 + 0.0219898i
\(478\) 129616. 420206.i 0.567289 1.83911i
\(479\) −107788. + 186695.i −0.469787 + 0.813694i −0.999403 0.0345428i \(-0.989002\pi\)
0.529617 + 0.848237i \(0.322336\pi\)
\(480\) 475045. 274267.i 2.06183 1.19040i
\(481\) 55553.6 12679.8i 0.240117 0.0548051i
\(482\) −284170. 42831.7i −1.22316 0.184362i
\(483\) −26225.5 24333.7i −0.112417 0.104307i
\(484\) −30048.7 + 37679.9i −0.128273 + 0.160849i
\(485\) 13076.7 + 19180.0i 0.0555924 + 0.0815391i
\(486\) −353480. + 327982.i −1.49655 + 1.38860i
\(487\) 19042.5 + 254105.i 0.0802910 + 1.07141i 0.881238 + 0.472673i \(0.156711\pi\)
−0.800947 + 0.598735i \(0.795670\pi\)
\(488\) −179820. + 458173.i −0.755089 + 1.92393i
\(489\) −12819.2 + 56164.8i −0.0536099 + 0.234880i
\(490\) 344516. 106269.i 1.43489 0.442603i
\(491\) −227782. + 334095.i −0.944835 + 1.38582i −0.0223655 + 0.999750i \(0.507120\pi\)
−0.922470 + 0.386069i \(0.873833\pi\)
\(492\) −25286.6 167766.i −0.104463 0.693063i
\(493\) −41361.5 + 16233.2i −0.170178 + 0.0667898i
\(494\) −411832. + 198328.i −1.68759 + 0.812699i
\(495\) −60281.8 125176.i −0.246023 0.510872i
\(496\) 400444. + 1.02031e6i 1.62772 + 4.14735i
\(497\) 381271. 57467.3i 1.54355 0.232653i
\(498\) 190221. + 129690.i 0.767007 + 0.522937i
\(499\) 10538.0 + 34163.2i 0.0423209 + 0.137201i 0.974268 0.225394i \(-0.0723670\pi\)
−0.931947 + 0.362595i \(0.881891\pi\)
\(500\) 773035. + 176440.i 3.09214 + 0.705761i
\(501\) −176179. 69145.0i −0.701904 0.275477i
\(502\) 299305. 22429.8i 1.18770 0.0890058i
\(503\) 12309.0 + 13266.0i 0.0486506 + 0.0524329i 0.756908 0.653521i \(-0.226709\pi\)
−0.708258 + 0.705954i \(0.750518\pi\)
\(504\) 757974. 516778.i 2.98396 2.03443i
\(505\) 126961. + 101248.i 0.497836 + 0.397011i
\(506\) 69640.2 75054.3i 0.271994 0.293140i
\(507\) 3711.47 24624.0i 0.0144388 0.0957949i
\(508\) 2990.59 + 13102.6i 0.0115886 + 0.0507729i
\(509\) 80708.3 + 139791.i 0.311518 + 0.539565i 0.978691 0.205338i \(-0.0658293\pi\)
−0.667173 + 0.744902i \(0.732496\pi\)
\(510\) 72045.5 + 41595.5i 0.276992 + 0.159921i
\(511\) −406290. 125324.i −1.55594 0.479945i
\(512\) −1.39593e6 + 1.11321e6i −5.32503 + 4.24657i
\(513\) 19383.7 258658.i 0.0736551 0.982859i
\(514\) −530185. 255323.i −2.00679 0.966417i
\(515\) 347259.i 1.30930i
\(516\) −348446. + 263277.i −1.30869 + 0.988810i
\(517\) 109273. 0.408819
\(518\) 86988.9 180634.i 0.324194 0.673195i
\(519\) −87111.7 6528.12i −0.323401 0.0242356i
\(520\) −466057. 584416.i −1.72358 2.16130i
\(521\) 82584.3 267732.i 0.304244 0.986335i −0.666356 0.745634i \(-0.732147\pi\)
0.970599 0.240700i \(-0.0773771\pi\)
\(522\) −94013.7 + 162837.i −0.345025 + 0.597601i
\(523\) −171990. + 99298.6i −0.628782 + 0.363028i −0.780280 0.625430i \(-0.784924\pi\)
0.151498 + 0.988458i \(0.451590\pi\)
\(524\) 448203. 102299.i 1.63234 0.372572i
\(525\) −76348.1 11507.6i −0.277000 0.0417510i
\(526\) −16954.3 15731.3i −0.0612786 0.0568582i
\(527\) −60323.1 + 75642.7i −0.217201 + 0.272362i
\(528\) −418887. 614395.i −1.50255 2.20384i
\(529\) 197311. 183078.i 0.705082 0.654220i
\(530\) −1371.04 18295.3i −0.00488089 0.0651310i
\(531\) 115649. 294670.i 0.410161 1.04507i
\(532\) −266458. + 1.16743e6i −0.941467 + 4.12484i
\(533\) −105544. + 32556.2i −0.371519 + 0.114598i
\(534\) −4517.95 + 6626.62i −0.0158438 + 0.0232386i
\(535\) −63421.8 420776.i −0.221580 1.47009i
\(536\) 1.43009e6 561269.i 4.97776 1.95363i
\(537\) 160720. 77398.5i 0.557340 0.268401i
\(538\) 465796. + 967235.i 1.60928 + 3.34170i
\(539\) −103925. 264797.i −0.357720 0.911455i
\(540\) 638490. 96236.8i 2.18961 0.330030i
\(541\) −405695. 276598.i −1.38613 0.945049i −0.999742 0.0227137i \(-0.992769\pi\)
−0.386390 0.922335i \(-0.626278\pi\)
\(542\) −23305.4 75554.3i −0.0793339 0.257194i
\(543\) 163036. + 37211.9i 0.552947 + 0.126206i
\(544\) −520518. 204288.i −1.75889 0.690312i
\(545\) 107008. 8019.15i 0.360266 0.0269982i
\(546\) 286581. + 308861.i 0.961309 + 1.03604i
\(547\) 486420. 331636.i 1.62569 1.10837i 0.711818 0.702364i \(-0.247872\pi\)
0.913869 0.406010i \(-0.133080\pi\)
\(548\) −593188. 473052.i −1.97529 1.57524i
\(549\) −76423.8 + 82365.3i −0.253562 + 0.273275i
\(550\) 32933.4 218499.i 0.108871 0.722310i
\(551\) −35876.5 157185.i −0.118170 0.517736i
\(552\) 63444.8 + 109890.i 0.208218 + 0.360644i
\(553\) −283503. 163681.i −0.927060 0.535238i
\(554\) −509890. 157280.i −1.66134 0.512454i
\(555\) 29420.7 23462.2i 0.0955140 0.0761699i
\(556\) 64487.2 860522.i 0.208605 2.78364i
\(557\) 2748.59 + 1323.65i 0.00885931 + 0.00426642i 0.438308 0.898825i \(-0.355578\pi\)
−0.429449 + 0.903091i \(0.641292\pi\)
\(558\) 409421.i 1.31493i
\(559\) 203292. + 198764.i 0.650573 + 0.636085i
\(560\) −1.60732e6 −5.12540
\(561\) 28479.1 59137.4i 0.0904899 0.187904i
\(562\) 256804. + 19244.8i 0.813074 + 0.0609314i
\(563\) −285781. 358357.i −0.901604 1.13058i −0.990904 0.134571i \(-0.957034\pi\)
0.0892998 0.996005i \(-0.471537\pi\)
\(564\) −60764.4 + 196993.i −0.191025 + 0.619289i
\(565\) −146328. + 253448.i −0.458385 + 0.793946i
\(566\) 681360. 393383.i 2.12688 1.22796i
\(567\) 65696.3 14994.8i 0.204350 0.0466416i
\(568\) −1.35229e6 203825.i −4.19153 0.631772i
\(569\) −60968.0 56570.0i −0.188312 0.174728i 0.580383 0.814344i \(-0.302903\pi\)
−0.768695 + 0.639616i \(0.779093\pi\)
\(570\) −188209. + 236006.i −0.579282 + 0.726396i
\(571\) 325664. + 477661.i 0.998843 + 1.46503i 0.881639 + 0.471925i \(0.156441\pi\)
0.117204 + 0.993108i \(0.462607\pi\)
\(572\) −658129. + 610655.i −2.01150 + 1.86639i
\(573\) −5093.18 67963.8i −0.0155124 0.206999i
\(574\) −141978. + 361754.i −0.430920 + 1.09797i
\(575\) −5127.73 + 22466.1i −0.0155092 + 0.0679503i
\(576\) −1.26873e6 + 391352.i −3.82406 + 1.17957i
\(577\) 58821.8 86275.8i 0.176680 0.259142i −0.727676 0.685921i \(-0.759400\pi\)
0.904356 + 0.426779i \(0.140352\pi\)
\(578\) 85878.7 + 569768.i 0.257057 + 1.70546i
\(579\) −95150.0 + 37343.6i −0.283826 + 0.111393i
\(580\) 361609. 174142.i 1.07494 0.517662i
\(581\) −170358. 353753.i −0.504674 1.04797i
\(582\) 16955.0 + 43200.6i 0.0500555 + 0.127539i
\(583\) −14313.8 + 2157.45i −0.0421131 + 0.00634752i
\(584\) 1.24599e6 + 849500.i 3.65332 + 2.49079i
\(585\) −50296.9 163058.i −0.146970 0.476466i
\(586\) 322110. + 73519.5i 0.938014 + 0.214095i
\(587\) 161915. + 63547.1i 0.469907 + 0.184425i 0.588466 0.808522i \(-0.299732\pi\)
−0.118559 + 0.992947i \(0.537827\pi\)
\(588\) 535158. 40104.5i 1.54784 0.115995i
\(589\) −238785. 257349.i −0.688298 0.741809i
\(590\) −749828. + 511224.i −2.15406 + 1.46861i
\(591\) −187936. 149874.i −0.538064 0.429092i
\(592\) −295590. + 318570.i −0.843424 + 0.908995i
\(593\) 91677.0 608237.i 0.260706 1.72967i −0.349068 0.937097i \(-0.613502\pi\)
0.609775 0.792575i \(-0.291260\pi\)
\(594\) −152259. 667090.i −0.431529 1.89065i
\(595\) −70938.9 122870.i −0.200378 0.347065i
\(596\) 1.34932e6 + 779029.i 3.79858 + 2.19311i
\(597\) −29323.0 9044.96i −0.0822736 0.0253780i
\(598\) 98315.1 78403.7i 0.274927 0.219247i
\(599\) −23073.6 + 307896.i −0.0643075 + 0.858124i 0.868025 + 0.496521i \(0.165389\pi\)
−0.932332 + 0.361603i \(0.882230\pi\)
\(600\) 246730. + 118819.i 0.685361 + 0.330053i
\(601\) 522375.i 1.44622i 0.690734 + 0.723109i \(0.257288\pi\)
−0.690734 + 0.723109i \(0.742712\pi\)
\(602\) 992731. 123189.i 2.73929 0.339920i
\(603\) 350706. 0.964513
\(604\) 270820. 562364.i 0.742348 1.54150i
\(605\) 20661.9 + 1548.40i 0.0564495 + 0.00423031i
\(606\) 202414. + 253819.i 0.551183 + 0.691161i
\(607\) 51182.9 165931.i 0.138914 0.450350i −0.859206 0.511630i \(-0.829042\pi\)
0.998121 + 0.0612799i \(0.0195182\pi\)
\(608\) 1.01449e6 1.75715e6i 2.74436 4.75338i
\(609\) −128703. + 74306.7i −0.347019 + 0.200352i
\(610\) 314046. 71678.9i 0.843982 0.192633i
\(611\) 132709. + 20002.7i 0.355482 + 0.0535803i
\(612\) −195869. 181739.i −0.522952 0.485229i
\(613\) −344447. + 431923.i −0.916646 + 1.14944i 0.0717321 + 0.997424i \(0.477147\pi\)
−0.988378 + 0.152014i \(0.951424\pi\)
\(614\) −232170. 340530.i −0.615841 0.903273i
\(615\) −53469.5 + 49612.5i −0.141370 + 0.131172i
\(616\) 155071. + 2.06928e6i 0.408668 + 5.45329i
\(617\) 113467. 289109.i 0.298057 0.759436i −0.700878 0.713281i \(-0.747208\pi\)
0.998934 0.0461544i \(-0.0146966\pi\)
\(618\) −154483. + 676834.i −0.404486 + 1.77217i
\(619\) 393827. 121480.i 1.02784 0.317046i 0.265421 0.964133i \(-0.414489\pi\)
0.762417 + 0.647087i \(0.224013\pi\)
\(620\) 492304. 722077.i 1.28071 1.87845i
\(621\) 10635.3 + 70560.4i 0.0275782 + 0.182969i
\(622\) 305914. 120062.i 0.790711 0.310331i
\(623\) 12323.5 5934.69i 0.0317510 0.0152905i
\(624\) −396261. 822845.i −1.01768 2.11324i
\(625\) −73620.7 187583.i −0.188469 0.480211i
\(626\) −1.39298e6 + 209957.i −3.55463 + 0.535775i
\(627\) 196785. + 134166.i 0.500561 + 0.341277i
\(628\) −213837. 693243.i −0.542205 1.75779i
\(629\) −37398.4 8535.95i −0.0945262 0.0215750i
\(630\) −558883. 219345.i −1.40812 0.552647i
\(631\) −515303. + 38616.7i −1.29421 + 0.0969875i −0.703963 0.710236i \(-0.748588\pi\)
−0.590245 + 0.807224i \(0.700969\pi\)
\(632\) 789737. + 851134.i 1.97719 + 2.13090i
\(633\) −163878. + 111730.i −0.408991 + 0.278846i
\(634\) 54991.7 + 43854.4i 0.136810 + 0.109103i
\(635\) 3930.03 4235.57i 0.00974650 0.0105042i
\(636\) 4070.21 27004.1i 0.0100624 0.0667599i
\(637\) −77742.6 340613.i −0.191593 0.839425i
\(638\) −212657. 368332.i −0.522441 0.904895i
\(639\) −270364. 156095.i −0.662135 0.382284i
\(640\) 1.98141e6 + 611185.i 4.83743 + 1.49215i
\(641\) −42748.4 + 34090.7i −0.104041 + 0.0829698i −0.674129 0.738614i \(-0.735481\pi\)
0.570088 + 0.821584i \(0.306909\pi\)
\(642\) 63574.1 848337.i 0.154245 2.05825i
\(643\) 285024. + 137260.i 0.689382 + 0.331989i 0.745566 0.666432i \(-0.232179\pi\)
−0.0561843 + 0.998420i \(0.517893\pi\)
\(644\) 329423.i 0.794297i
\(645\) 177909. + 60013.3i 0.427640 + 0.144254i
\(646\) 307717. 0.737371
\(647\) −267553. + 555580.i −0.639148 + 1.32720i 0.289833 + 0.957077i \(0.406400\pi\)
−0.928981 + 0.370128i \(0.879314\pi\)
\(648\) −238335. 17860.8i −0.567595 0.0425354i
\(649\) 446438. + 559816.i 1.05992 + 1.32910i
\(650\) 79993.6 259333.i 0.189334 0.613805i
\(651\) −161799. + 280245.i −0.381781 + 0.661264i
\(652\) −459396. + 265232.i −1.08067 + 0.623923i
\(653\) −458872. + 104735.i −1.07613 + 0.245620i −0.723628 0.690191i \(-0.757527\pi\)
−0.352503 + 0.935811i \(0.614669\pi\)
\(654\) 212134. + 31974.1i 0.495969 + 0.0747554i
\(655\) −144886. 134435.i −0.337711 0.313350i
\(656\) 525208. 658590.i 1.22046 1.53041i
\(657\) 193925. + 284436.i 0.449265 + 0.658951i
\(658\) 346149. 321180.i 0.799488 0.741816i
\(659\) 42769.9 + 570724.i 0.0984844 + 1.31418i 0.799340 + 0.600879i \(0.205183\pi\)
−0.700856 + 0.713303i \(0.747198\pi\)
\(660\) −216608. + 551908.i −0.497264 + 1.26701i
\(661\) −74557.2 + 326656.i −0.170642 + 0.747633i 0.815093 + 0.579330i \(0.196686\pi\)
−0.985735 + 0.168303i \(0.946171\pi\)
\(662\) −168220. + 51888.9i −0.383849 + 0.118402i
\(663\) 45412.4 66607.7i 0.103311 0.151530i
\(664\) 207556. + 1.37705e6i 0.470760 + 3.12329i
\(665\) 479224. 188082.i 1.08367 0.425307i
\(666\) −146254. + 70432.1i −0.329730 + 0.158790i
\(667\) 19244.6 + 39961.9i 0.0432571 + 0.0898244i
\(668\) −636686. 1.62225e6i −1.42683 3.63551i
\(669\) 195632. 29486.8i 0.437107 0.0658833i
\(670\) −830729. 566381.i −1.85059 1.26171i
\(671\) −74913.2 242862.i −0.166385 0.539406i
\(672\) −1.82335e6 416168.i −4.03768 0.921573i
\(673\) 168188. + 66009.0i 0.371335 + 0.145738i 0.543668 0.839301i \(-0.317035\pi\)
−0.172333 + 0.985039i \(0.555130\pi\)
\(674\) 645012. 48337.0i 1.41987 0.106404i
\(675\) 104748. + 112891.i 0.229899 + 0.247772i
\(676\) 189455. 129168.i 0.414584 0.282659i
\(677\) −539376. 430138.i −1.17683 0.938492i −0.177871 0.984054i \(-0.556921\pi\)
−0.998962 + 0.0455615i \(0.985492\pi\)
\(678\) −397954. + 428892.i −0.865711 + 0.933015i
\(679\) 11796.3 78263.5i 0.0255863 0.169754i
\(680\) 111975. + 490595.i 0.242161 + 1.06097i
\(681\) −34080.8 59029.6i −0.0734878 0.127285i
\(682\) −802025. 463050.i −1.72433 0.995540i
\(683\) −50968.9 15721.8i −0.109261 0.0337025i 0.239643 0.970861i \(-0.422970\pi\)
−0.348903 + 0.937159i \(0.613446\pi\)
\(684\) 758013. 604495.i 1.62019 1.29205i
\(685\) −24376.2 + 325277.i −0.0519498 + 0.693222i
\(686\) 62835.1 + 30259.8i 0.133522 + 0.0643009i
\(687\) 409168.i 0.866939i
\(688\) −2.13495e6 379107.i −4.51036 0.800913i
\(689\) −17778.6 −0.0374507
\(690\) 36031.3 74819.9i 0.0756802 0.157152i
\(691\) 245930. + 18429.9i 0.515057 + 0.0385982i 0.329723 0.944078i \(-0.393045\pi\)
0.185333 + 0.982676i \(0.440664\pi\)
\(692\) −501518. 628884.i −1.04731 1.31328i
\(693\) −139627. + 452658.i −0.290738 + 0.942549i
\(694\) −383309. + 663910.i −0.795848 + 1.37845i
\(695\) −321291. + 185498.i −0.665165 + 0.384033i
\(696\) 513886. 117291.i 1.06084 0.242129i
\(697\) 73524.9 + 11082.1i 0.151345 + 0.0228116i
\(698\) 1.16441e6 + 1.08041e6i 2.38998 + 2.21758i
\(699\) 116017. 145480.i 0.237446 0.297748i
\(700\) −400494. 587417.i −0.817335 1.19881i
\(701\) 541548. 502483.i 1.10205 1.02255i 0.102436 0.994740i \(-0.467336\pi\)
0.999613 0.0278128i \(-0.00885422\pi\)
\(702\) −62802.0 838035.i −0.127438 1.70054i
\(703\) 50852.6 129570.i 0.102897 0.262177i
\(704\) 668289. 2.92796e6i 1.34840 5.90773i
\(705\) 84691.9 26124.0i 0.170398 0.0525607i
\(706\) −628869. + 922381.i −1.26168 + 1.85055i
\(707\) −82519.9 547484.i −0.165090 1.09530i
\(708\) −1.25747e6 + 493522.i −2.50861 + 0.984556i
\(709\) 354951. 170935.i 0.706115 0.340047i −0.0461254 0.998936i \(-0.514687\pi\)
0.752241 + 0.658888i \(0.228973\pi\)
\(710\) 388331. + 806378.i 0.770346 + 1.59964i
\(711\) 96834.9 + 246731.i 0.191555 + 0.488073i
\(712\) −47971.4 + 7230.53i −0.0946286 + 0.0142630i
\(713\) 79797.7 + 54405.2i 0.156968 + 0.107019i
\(714\) −83604.8 271040.i −0.163997 0.531664i
\(715\) 376304. + 85889.0i 0.736084 + 0.168006i
\(716\) 1.52903e6 + 600098.i 2.98256 + 1.17057i
\(717\) −280624. + 21029.9i −0.545867 + 0.0409071i
\(718\) −102854. 110851.i −0.199514 0.215025i
\(719\) −127941. + 87228.5i −0.247486 + 0.168733i −0.680710 0.732553i \(-0.738328\pi\)
0.433223 + 0.901287i \(0.357376\pi\)
\(720\) 1.01747e6 + 811408.i 1.96272 + 1.56522i
\(721\) 805316. 867924.i 1.54916 1.66960i
\(722\) −12694.1 + 84220.1i −0.0243517 + 0.161563i
\(723\) 40923.2 + 179296.i 0.0782876 + 0.343000i
\(724\) 769919. + 1.33354e6i 1.46882 + 2.54407i
\(725\) 82899.7 + 47862.2i 0.157717 + 0.0910577i
\(726\) 39582.8 + 12209.7i 0.0750989 + 0.0231649i
\(727\) −663024. + 528744.i −1.25447 + 1.00041i −0.255031 + 0.966933i \(0.582086\pi\)
−0.999440 + 0.0334741i \(0.989343\pi\)
\(728\) −190458. + 2.54148e6i −0.359365 + 4.79539i
\(729\) 206086. + 99245.7i 0.387787 + 0.186748i
\(730\) 986937.i 1.85201i
\(731\) −65245.3 179935.i −0.122100 0.336730i
\(732\) 479482. 0.894851
\(733\) 240927. 500290.i 0.448413 0.931138i −0.547150 0.837035i \(-0.684287\pi\)
0.995562 0.0941037i \(-0.0299985\pi\)
\(734\) −1.42273e6 106619.i −2.64077 0.197898i
\(735\) −143853. 180385.i −0.266283 0.333908i
\(736\) −164527. + 533384.i −0.303726 + 0.984655i
\(737\) −396643. + 687006.i −0.730239 + 1.26481i
\(738\) 272496. 157325.i 0.500319 0.288859i
\(739\) −78774.0 + 17979.6i −0.144243 + 0.0329225i −0.294033 0.955795i \(-0.594997\pi\)
0.149790 + 0.988718i \(0.452140\pi\)
\(740\) 342631. + 51643.3i 0.625696 + 0.0943084i
\(741\) 214431. + 198963.i 0.390527 + 0.362356i
\(742\) −39001.2 + 48906.0i −0.0708387 + 0.0888289i
\(743\) 500319. + 733833.i 0.906294 + 1.32929i 0.943981 + 0.329999i \(0.107048\pi\)
−0.0376875 + 0.999290i \(0.511999\pi\)
\(744\) 841351. 780660.i 1.51996 1.41031i
\(745\) −50057.5 667971.i −0.0901897 1.20350i
\(746\) −739157. + 1.88334e6i −1.32819 + 3.38416i
\(747\) −70740.4 + 309934.i −0.126773 + 0.555428i
\(748\) 577539. 178147.i 1.03223 0.318402i
\(749\) −817293. + 1.19875e6i −1.45685 + 2.13680i
\(750\) −101574. 673899.i −0.180576 1.19804i
\(751\) −249471. + 97910.0i −0.442323 + 0.173599i −0.576042 0.817420i \(-0.695403\pi\)
0.133719 + 0.991019i \(0.457308\pi\)
\(752\) −922186. + 444101.i −1.63073 + 0.785319i
\(753\) −83338.6 173054.i −0.146979 0.305206i
\(754\) −190842. 486257.i −0.335684 0.855310i
\(755\) −265351. + 39995.2i −0.465507 + 0.0701640i
\(756\) −1.81899e6 1.24017e6i −3.18264 2.16989i