Properties

Label 570.2.bi.a.47.23
Level $570$
Weight $2$
Character 570.47
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 47.23
Character \(\chi\) \(=\) 570.47
Dual form 570.2.bi.a.473.23

$q$-expansion

\(f(q)\) \(=\) \(q+(0.819152 + 0.573576i) q^{2} +(-1.59136 + 0.683794i) q^{3} +(0.342020 + 0.939693i) q^{4} +(-1.40521 + 1.73937i) q^{5} +(-1.69577 - 0.352635i) q^{6} +(-3.56705 + 0.955789i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(2.06485 - 2.17632i) q^{9} +O(q^{10})\) \(q+(0.819152 + 0.573576i) q^{2} +(-1.59136 + 0.683794i) q^{3} +(0.342020 + 0.939693i) q^{4} +(-1.40521 + 1.73937i) q^{5} +(-1.69577 - 0.352635i) q^{6} +(-3.56705 + 0.955789i) q^{7} +(-0.258819 + 0.965926i) q^{8} +(2.06485 - 2.17632i) q^{9} +(-2.14874 + 0.618811i) q^{10} +(-0.294826 + 0.170218i) q^{11} +(-1.18683 - 1.26152i) q^{12} +(4.18475 - 0.366118i) q^{13} +(-3.47018 - 1.26304i) q^{14} +(1.04682 - 3.72883i) q^{15} +(-0.766044 + 0.642788i) q^{16} +(-4.59537 - 3.21771i) q^{17} +(2.93972 - 0.598391i) q^{18} +(1.82520 - 3.95837i) q^{19} +(-2.11508 - 0.725565i) q^{20} +(5.02290 - 3.96013i) q^{21} +(-0.339140 - 0.0296709i) q^{22} +(-8.17331 - 3.81128i) q^{23} +(-0.248620 - 1.71411i) q^{24} +(-1.05078 - 4.88834i) q^{25} +(3.63794 + 2.10037i) q^{26} +(-1.79776 + 4.87525i) q^{27} +(-2.11815 - 3.02503i) q^{28} +(-0.583724 + 3.31046i) q^{29} +(2.99628 - 2.45404i) q^{30} +(-2.44632 + 4.23715i) q^{31} +(-0.996195 + 0.0871557i) q^{32} +(0.352780 - 0.472478i) q^{33} +(-1.91870 - 5.27159i) q^{34} +(3.34998 - 7.54749i) q^{35} +(2.75130 + 1.19598i) q^{36} +(1.23491 + 1.23491i) q^{37} +(3.76554 - 2.19561i) q^{38} +(-6.40909 + 3.44413i) q^{39} +(-1.31640 - 1.80751i) q^{40} +(1.92901 + 2.29890i) q^{41} +(6.38596 - 0.362934i) q^{42} +(-6.21962 + 2.90026i) q^{43} +(-0.260789 - 0.218828i) q^{44} +(0.883880 + 6.64972i) q^{45} +(-4.50913 - 7.81003i) q^{46} +(5.28378 + 7.54602i) q^{47} +(0.779518 - 1.54672i) q^{48} +(5.74816 - 3.31870i) q^{49} +(1.94308 - 4.60700i) q^{50} +(9.51313 + 1.97825i) q^{51} +(1.77531 + 3.80716i) q^{52} +(-6.46013 - 3.01241i) q^{53} +(-4.26897 + 2.96242i) q^{54} +(0.118221 - 0.752002i) q^{55} -3.69289i q^{56} +(-0.197836 + 7.54724i) q^{57} +(-2.37696 + 2.37696i) q^{58} +(-0.998240 - 5.66130i) q^{59} +(3.86199 - 0.291643i) q^{60} +(-2.81708 + 1.02533i) q^{61} +(-4.43423 + 2.06772i) q^{62} +(-5.28533 + 9.73663i) q^{63} +(-0.866025 - 0.500000i) q^{64} +(-5.24363 + 7.79328i) q^{65} +(0.559983 - 0.184685i) q^{66} +(-3.62374 + 2.53737i) q^{67} +(1.45195 - 5.41875i) q^{68} +(15.6128 + 0.476251i) q^{69} +(7.07321 - 4.26107i) q^{70} +(-2.31390 + 6.35740i) q^{71} +(1.56775 + 2.55777i) q^{72} +(0.237960 - 2.71990i) q^{73} +(0.303263 + 1.71989i) q^{74} +(5.01479 + 7.06059i) q^{75} +(4.34390 + 0.361282i) q^{76} +(0.888968 - 0.888968i) q^{77} +(-7.22550 - 0.854836i) q^{78} +(-10.8537 - 12.9349i) q^{79} +(-0.0415911 - 2.23568i) q^{80} +(-0.472780 - 8.98757i) q^{81} +(0.261554 + 2.98958i) q^{82} +(-0.963975 + 0.258296i) q^{83} +(5.43924 + 3.36554i) q^{84} +(12.0542 - 3.47147i) q^{85} +(-6.75833 - 1.19168i) q^{86} +(-1.33476 - 5.66728i) q^{87} +(-0.0881113 - 0.328836i) q^{88} +(7.90618 + 6.63407i) q^{89} +(-3.09009 + 5.95410i) q^{90} +(-14.5773 + 5.30570i) q^{91} +(0.785992 - 8.98393i) q^{92} +(0.995635 - 8.41560i) q^{93} +9.21199i q^{94} +(4.32026 + 8.73701i) q^{95} +(1.52571 - 0.819888i) q^{96} +(-5.06549 + 7.23427i) q^{97} +(6.61214 + 0.578488i) q^{98} +(-0.238322 + 0.993112i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.819152 + 0.573576i 0.579228 + 0.405580i
\(3\) −1.59136 + 0.683794i −0.918772 + 0.394789i
\(4\) 0.342020 + 0.939693i 0.171010 + 0.469846i
\(5\) −1.40521 + 1.73937i −0.628428 + 0.777868i
\(6\) −1.69577 0.352635i −0.692297 0.143963i
\(7\) −3.56705 + 0.955789i −1.34822 + 0.361254i −0.859477 0.511174i \(-0.829211\pi\)
−0.488742 + 0.872428i \(0.662544\pi\)
\(8\) −0.258819 + 0.965926i −0.0915064 + 0.341506i
\(9\) 2.06485 2.17632i 0.688284 0.725442i
\(10\) −2.14874 + 0.618811i −0.679490 + 0.195685i
\(11\) −0.294826 + 0.170218i −0.0888934 + 0.0513226i −0.543788 0.839223i \(-0.683010\pi\)
0.454894 + 0.890545i \(0.349677\pi\)
\(12\) −1.18683 1.26152i −0.342609 0.364169i
\(13\) 4.18475 0.366118i 1.16064 0.101543i 0.509480 0.860483i \(-0.329838\pi\)
0.651161 + 0.758940i \(0.274282\pi\)
\(14\) −3.47018 1.26304i −0.927444 0.337562i
\(15\) 1.04682 3.72883i 0.270288 0.962779i
\(16\) −0.766044 + 0.642788i −0.191511 + 0.160697i
\(17\) −4.59537 3.21771i −1.11454 0.780409i −0.136877 0.990588i \(-0.543707\pi\)
−0.977663 + 0.210179i \(0.932595\pi\)
\(18\) 2.93972 0.598391i 0.692898 0.141042i
\(19\) 1.82520 3.95837i 0.418729 0.908111i
\(20\) −2.11508 0.725565i −0.472946 0.162241i
\(21\) 5.02290 3.96013i 1.09609 0.864172i
\(22\) −0.339140 0.0296709i −0.0723050 0.00632586i
\(23\) −8.17331 3.81128i −1.70425 0.794706i −0.996059 0.0886883i \(-0.971733\pi\)
−0.708194 0.706018i \(-0.750490\pi\)
\(24\) −0.248620 1.71411i −0.0507494 0.349892i
\(25\) −1.05078 4.88834i −0.210157 0.977668i
\(26\) 3.63794 + 2.10037i 0.713459 + 0.411916i
\(27\) −1.79776 + 4.87525i −0.345980 + 0.938242i
\(28\) −2.11815 3.02503i −0.400293 0.571678i
\(29\) −0.583724 + 3.31046i −0.108395 + 0.614737i 0.881415 + 0.472342i \(0.156591\pi\)
−0.989810 + 0.142395i \(0.954520\pi\)
\(30\) 2.99628 2.45404i 0.547042 0.448045i
\(31\) −2.44632 + 4.23715i −0.439372 + 0.761014i −0.997641 0.0686457i \(-0.978132\pi\)
0.558269 + 0.829660i \(0.311466\pi\)
\(32\) −0.996195 + 0.0871557i −0.176104 + 0.0154071i
\(33\) 0.352780 0.472478i 0.0614112 0.0822479i
\(34\) −1.91870 5.27159i −0.329055 0.904070i
\(35\) 3.34998 7.54749i 0.566251 1.27576i
\(36\) 2.75130 + 1.19598i 0.458550 + 0.199330i
\(37\) 1.23491 + 1.23491i 0.203017 + 0.203017i 0.801291 0.598274i \(-0.204147\pi\)
−0.598274 + 0.801291i \(0.704147\pi\)
\(38\) 3.76554 2.19561i 0.610851 0.356176i
\(39\) −6.40909 + 3.44413i −1.02628 + 0.551503i
\(40\) −1.31640 1.80751i −0.208142 0.285792i
\(41\) 1.92901 + 2.29890i 0.301260 + 0.359028i 0.895344 0.445375i \(-0.146930\pi\)
−0.594084 + 0.804403i \(0.702485\pi\)
\(42\) 6.38596 0.362934i 0.985375 0.0560019i
\(43\) −6.21962 + 2.90026i −0.948483 + 0.442285i −0.834383 0.551184i \(-0.814176\pi\)
−0.114100 + 0.993469i \(0.536398\pi\)
\(44\) −0.260789 0.218828i −0.0393154 0.0329895i
\(45\) 0.883880 + 6.64972i 0.131761 + 0.991282i
\(46\) −4.50913 7.81003i −0.664834 1.15153i
\(47\) 5.28378 + 7.54602i 0.770718 + 1.10070i 0.992092 + 0.125511i \(0.0400570\pi\)
−0.221374 + 0.975189i \(0.571054\pi\)
\(48\) 0.779518 1.54672i 0.112514 0.223250i
\(49\) 5.74816 3.31870i 0.821165 0.474100i
\(50\) 1.94308 4.60700i 0.274794 0.651528i
\(51\) 9.51313 + 1.97825i 1.33211 + 0.277010i
\(52\) 1.77531 + 3.80716i 0.246191 + 0.527958i
\(53\) −6.46013 3.01241i −0.887368 0.413786i −0.0751714 0.997171i \(-0.523950\pi\)
−0.812196 + 0.583384i \(0.801728\pi\)
\(54\) −4.26897 + 2.96242i −0.580933 + 0.403134i
\(55\) 0.118221 0.752002i 0.0159409 0.101400i
\(56\) 3.69289i 0.493483i
\(57\) −0.197836 + 7.54724i −0.0262040 + 0.999657i
\(58\) −2.37696 + 2.37696i −0.312110 + 0.312110i
\(59\) −0.998240 5.66130i −0.129960 0.737038i −0.978238 0.207487i \(-0.933471\pi\)
0.848278 0.529551i \(-0.177640\pi\)
\(60\) 3.86199 0.291643i 0.498580 0.0376509i
\(61\) −2.81708 + 1.02533i −0.360690 + 0.131280i −0.516007 0.856584i \(-0.672582\pi\)
0.155317 + 0.987865i \(0.450360\pi\)
\(62\) −4.43423 + 2.06772i −0.563148 + 0.262600i
\(63\) −5.28533 + 9.73663i −0.665889 + 1.22670i
\(64\) −0.866025 0.500000i −0.108253 0.0625000i
\(65\) −5.24363 + 7.79328i −0.650392 + 0.966638i
\(66\) 0.559983 0.184685i 0.0689291 0.0227332i
\(67\) −3.62374 + 2.53737i −0.442710 + 0.309989i −0.773593 0.633683i \(-0.781542\pi\)
0.330883 + 0.943672i \(0.392654\pi\)
\(68\) 1.45195 5.41875i 0.176075 0.657120i
\(69\) 15.6128 + 0.476251i 1.87956 + 0.0573339i
\(70\) 7.07321 4.26107i 0.845410 0.509295i
\(71\) −2.31390 + 6.35740i −0.274610 + 0.754484i 0.723341 + 0.690491i \(0.242606\pi\)
−0.997950 + 0.0639927i \(0.979617\pi\)
\(72\) 1.56775 + 2.55777i 0.184761 + 0.301436i
\(73\) 0.237960 2.71990i 0.0278511 0.318340i −0.969471 0.245206i \(-0.921144\pi\)
0.997322 0.0731340i \(-0.0233001\pi\)
\(74\) 0.303263 + 1.71989i 0.0352536 + 0.199933i
\(75\) 5.01479 + 7.06059i 0.579058 + 0.815286i
\(76\) 4.34390 + 0.361282i 0.498280 + 0.0414419i
\(77\) 0.888968 0.888968i 0.101307 0.101307i
\(78\) −7.22550 0.854836i −0.818126 0.0967911i
\(79\) −10.8537 12.9349i −1.22114 1.45529i −0.850055 0.526694i \(-0.823432\pi\)
−0.371081 0.928600i \(-0.621013\pi\)
\(80\) −0.0415911 2.23568i −0.00465002 0.249957i
\(81\) −0.472780 8.98757i −0.0525311 0.998619i
\(82\) 0.261554 + 2.98958i 0.0288839 + 0.330144i
\(83\) −0.963975 + 0.258296i −0.105810 + 0.0283517i −0.311336 0.950300i \(-0.600776\pi\)
0.205526 + 0.978652i \(0.434110\pi\)
\(84\) 5.43924 + 3.36554i 0.593470 + 0.367210i
\(85\) 12.0542 3.47147i 1.30746 0.376534i
\(86\) −6.75833 1.19168i −0.728770 0.128502i
\(87\) −1.33476 5.66728i −0.143101 0.607596i
\(88\) −0.0881113 0.328836i −0.00939269 0.0350540i
\(89\) 7.90618 + 6.63407i 0.838054 + 0.703210i 0.957125 0.289675i \(-0.0935473\pi\)
−0.119071 + 0.992886i \(0.537992\pi\)
\(90\) −3.09009 + 5.95410i −0.325724 + 0.627618i
\(91\) −14.5773 + 5.30570i −1.52812 + 0.556189i
\(92\) 0.785992 8.98393i 0.0819454 0.936640i
\(93\) 0.995635 8.41560i 0.103243 0.872657i
\(94\) 9.21199i 0.950144i
\(95\) 4.32026 + 8.73701i 0.443250 + 0.896398i
\(96\) 1.52571 0.819888i 0.155717 0.0836795i
\(97\) −5.06549 + 7.23427i −0.514322 + 0.734529i −0.989368 0.145433i \(-0.953543\pi\)
0.475046 + 0.879961i \(0.342432\pi\)
\(98\) 6.61214 + 0.578488i 0.667927 + 0.0584361i
\(99\) −0.238322 + 0.993112i −0.0239523 + 0.0998115i
\(100\) 4.23415 2.65932i 0.423415 0.265932i
\(101\) −8.15454 + 9.71820i −0.811407 + 0.966997i −0.999886 0.0150800i \(-0.995200\pi\)
0.188479 + 0.982077i \(0.439644\pi\)
\(102\) 6.65803 + 7.07700i 0.659243 + 0.700727i
\(103\) 5.43426 + 1.45611i 0.535454 + 0.143474i 0.516406 0.856344i \(-0.327270\pi\)
0.0190483 + 0.999819i \(0.493936\pi\)
\(104\) −0.729450 + 4.13692i −0.0715285 + 0.405658i
\(105\) −0.170099 + 14.3015i −0.0166000 + 1.39568i
\(106\) −3.56398 6.17300i −0.346165 0.599575i
\(107\) 0.248359 + 0.926887i 0.0240097 + 0.0896056i 0.976891 0.213738i \(-0.0685638\pi\)
−0.952881 + 0.303343i \(0.901897\pi\)
\(108\) −5.19611 0.0219109i −0.499996 0.00210838i
\(109\) 1.82117 5.00362i 0.174436 0.479260i −0.821407 0.570342i \(-0.806810\pi\)
0.995843 + 0.0910826i \(0.0290327\pi\)
\(110\) 0.528171 0.548195i 0.0503591 0.0522683i
\(111\) −2.80960 1.12076i −0.266676 0.106378i
\(112\) 2.11815 3.02503i 0.200147 0.285839i
\(113\) −0.335624 0.335624i −0.0315728 0.0315728i 0.691144 0.722717i \(-0.257107\pi\)
−0.722717 + 0.691144i \(0.757107\pi\)
\(114\) −4.49098 + 6.06886i −0.420619 + 0.568401i
\(115\) 18.1144 8.86074i 1.68918 0.826268i
\(116\) −3.31046 + 0.583724i −0.307369 + 0.0541974i
\(117\) 7.84409 9.86336i 0.725187 0.911868i
\(118\) 2.42948 5.21003i 0.223652 0.479622i
\(119\) 19.4674 + 7.08554i 1.78457 + 0.649531i
\(120\) 3.33083 + 1.97624i 0.304062 + 0.180406i
\(121\) −5.44205 + 9.42591i −0.494732 + 0.856901i
\(122\) −2.89572 0.775906i −0.262166 0.0702472i
\(123\) −4.64172 2.33933i −0.418530 0.210931i
\(124\) −4.81831 0.849597i −0.432697 0.0762961i
\(125\) 9.97918 + 5.04143i 0.892565 + 0.450920i
\(126\) −9.91419 + 4.94424i −0.883226 + 0.440468i
\(127\) 1.55905 + 17.8200i 0.138343 + 1.58127i 0.675225 + 0.737612i \(0.264047\pi\)
−0.536882 + 0.843658i \(0.680398\pi\)
\(128\) −0.422618 0.906308i −0.0373545 0.0801070i
\(129\) 7.91447 8.86829i 0.696830 0.780809i
\(130\) −8.76537 + 3.37626i −0.768774 + 0.296118i
\(131\) 15.6976 2.76792i 1.37151 0.241834i 0.561124 0.827732i \(-0.310369\pi\)
0.810385 + 0.585898i \(0.199258\pi\)
\(132\) 0.564642 + 0.169908i 0.0491458 + 0.0147886i
\(133\) −2.72721 + 15.8642i −0.236479 + 1.37560i
\(134\) −4.42377 −0.382155
\(135\) −5.95361 9.97770i −0.512405 0.858744i
\(136\) 4.29744 3.60598i 0.368502 0.309210i
\(137\) 5.71910 12.2646i 0.488615 1.04784i −0.495221 0.868767i \(-0.664913\pi\)
0.983836 0.179072i \(-0.0573094\pi\)
\(138\) 12.5161 + 9.34526i 1.06544 + 0.795521i
\(139\) −9.53660 + 11.3653i −0.808884 + 0.963990i −0.999845 0.0176072i \(-0.994395\pi\)
0.190961 + 0.981598i \(0.438840\pi\)
\(140\) 8.23808 + 0.566561i 0.696245 + 0.0478832i
\(141\) −13.5683 8.39541i −1.14266 0.707021i
\(142\) −5.54189 + 3.88047i −0.465065 + 0.325642i
\(143\) −1.17145 + 0.820260i −0.0979618 + 0.0685936i
\(144\) −0.182853 + 2.99442i −0.0152378 + 0.249535i
\(145\) −4.93785 5.66719i −0.410066 0.470635i
\(146\) 1.75500 2.09152i 0.145244 0.173096i
\(147\) −6.87808 + 9.21180i −0.567294 + 0.759777i
\(148\) −0.738070 + 1.58280i −0.0606689 + 0.130105i
\(149\) −3.55744 + 2.98505i −0.291437 + 0.244545i −0.776769 0.629785i \(-0.783143\pi\)
0.485333 + 0.874330i \(0.338699\pi\)
\(150\) 0.0580917 + 8.66006i 0.00474317 + 0.707091i
\(151\) −2.95211 −0.240240 −0.120120 0.992759i \(-0.538328\pi\)
−0.120120 + 0.992759i \(0.538328\pi\)
\(152\) 3.35109 + 2.78750i 0.271809 + 0.226096i
\(153\) −16.4915 + 3.35692i −1.33326 + 0.271391i
\(154\) 1.23809 0.218309i 0.0997682 0.0175918i
\(155\) −3.93236 10.2091i −0.315855 0.820015i
\(156\) −5.42847 4.84461i −0.434625 0.387880i
\(157\) −1.01369 2.17386i −0.0809012 0.173493i 0.861696 0.507425i \(-0.169402\pi\)
−0.942597 + 0.333931i \(0.891625\pi\)
\(158\) −1.47166 16.8211i −0.117079 1.33822i
\(159\) 12.3403 + 0.376426i 0.978647 + 0.0298525i
\(160\) 1.24826 1.85522i 0.0986840 0.146668i
\(161\) 32.7974 + 5.78307i 2.58480 + 0.455770i
\(162\) 4.76778 7.63336i 0.374592 0.599734i
\(163\) −23.7318 6.35892i −1.85882 0.498069i −0.858917 0.512114i \(-0.828862\pi\)
−0.999901 + 0.0140454i \(0.995529\pi\)
\(164\) −1.50050 + 2.59894i −0.117169 + 0.202943i
\(165\) 0.326083 + 1.27754i 0.0253855 + 0.0994566i
\(166\) −0.937795 0.341329i −0.0727870 0.0264923i
\(167\) −3.67317 + 7.87714i −0.284239 + 0.609552i −0.995645 0.0932295i \(-0.970281\pi\)
0.711406 + 0.702781i \(0.248059\pi\)
\(168\) 2.52517 + 5.87671i 0.194821 + 0.453398i
\(169\) 4.57559 0.806800i 0.351969 0.0620615i
\(170\) 11.8654 + 4.07035i 0.910034 + 0.312182i
\(171\) −4.84593 12.1457i −0.370578 0.928801i
\(172\) −4.85258 4.85258i −0.370006 0.370006i
\(173\) −7.18338 + 10.2589i −0.546143 + 0.779973i −0.993433 0.114416i \(-0.963500\pi\)
0.447290 + 0.894389i \(0.352389\pi\)
\(174\) 2.15725 5.40795i 0.163541 0.409976i
\(175\) 8.42042 + 16.4326i 0.636524 + 1.24219i
\(176\) 0.116436 0.319905i 0.00877668 0.0241137i
\(177\) 5.45972 + 8.32657i 0.410378 + 0.625864i
\(178\) 2.67122 + 9.96911i 0.200216 + 0.747217i
\(179\) −9.99794 17.3169i −0.747281 1.29433i −0.949121 0.314911i \(-0.898025\pi\)
0.201840 0.979419i \(-0.435308\pi\)
\(180\) −5.94639 + 3.10491i −0.443218 + 0.231427i
\(181\) 3.44299 19.5261i 0.255915 1.45137i −0.537797 0.843074i \(-0.680743\pi\)
0.793713 0.608293i \(-0.208145\pi\)
\(182\) −14.9842 4.01502i −1.11071 0.297613i
\(183\) 3.78186 3.55797i 0.279563 0.263013i
\(184\) 5.79682 6.90838i 0.427347 0.509293i
\(185\) −3.88325 + 0.412654i −0.285502 + 0.0303389i
\(186\) 5.64257 6.32258i 0.413733 0.463594i
\(187\) 1.90255 + 0.166451i 0.139128 + 0.0121721i
\(188\) −5.28378 + 7.54602i −0.385359 + 0.550350i
\(189\) 1.75301 19.1086i 0.127512 1.38994i
\(190\) −1.47239 + 9.63494i −0.106818 + 0.698992i
\(191\) 21.8472i 1.58081i 0.612585 + 0.790405i \(0.290130\pi\)
−0.612585 + 0.790405i \(0.709870\pi\)
\(192\) 1.72005 + 0.203497i 0.124134 + 0.0146861i
\(193\) 1.07578 12.2962i 0.0774363 0.885101i −0.853780 0.520634i \(-0.825696\pi\)
0.931216 0.364467i \(-0.118749\pi\)
\(194\) −8.29881 + 3.02052i −0.595820 + 0.216861i
\(195\) 3.01550 15.9875i 0.215944 1.14489i
\(196\) 5.08454 + 4.26644i 0.363182 + 0.304746i
\(197\) −0.191342 0.714097i −0.0136325 0.0508773i 0.958775 0.284168i \(-0.0917173\pi\)
−0.972407 + 0.233291i \(0.925051\pi\)
\(198\) −0.764848 + 0.676813i −0.0543554 + 0.0480990i
\(199\) −4.29717 0.757707i −0.304618 0.0537124i 0.0192497 0.999815i \(-0.493872\pi\)
−0.323868 + 0.946102i \(0.604983\pi\)
\(200\) 4.99374 + 0.250216i 0.353110 + 0.0176930i
\(201\) 4.03163 6.51576i 0.284369 0.459586i
\(202\) −12.2539 + 3.28343i −0.862184 + 0.231022i
\(203\) −1.08193 12.3665i −0.0759365 0.867959i
\(204\) 1.39474 + 9.61602i 0.0976511 + 0.673256i
\(205\) −6.70928 + 0.124815i −0.468597 + 0.00871744i
\(206\) 3.61630 + 4.30974i 0.251960 + 0.300274i
\(207\) −25.1712 + 9.91806i −1.74952 + 0.689353i
\(208\) −2.97037 + 2.97037i −0.205958 + 0.205958i
\(209\) 0.135669 + 1.47771i 0.00938445 + 0.102215i
\(210\) −8.34232 + 11.6175i −0.575675 + 0.801685i
\(211\) −4.95569 28.1051i −0.341164 1.93483i −0.354838 0.934928i \(-0.615464\pi\)
0.0136742 0.999907i \(-0.495647\pi\)
\(212\) 0.621243 7.10085i 0.0426672 0.487688i
\(213\) −0.664899 11.6991i −0.0455581 0.801612i
\(214\) −0.328197 + 0.901714i −0.0224351 + 0.0616399i
\(215\) 3.69525 14.8937i 0.252014 1.01574i
\(216\) −4.24383 2.99831i −0.288756 0.204009i
\(217\) 4.67633 17.4523i 0.317450 1.18474i
\(218\) 4.36177 3.05415i 0.295417 0.206853i
\(219\) 1.48117 + 4.49105i 0.100088 + 0.303477i
\(220\) 0.747084 0.146109i 0.0503684 0.00985064i
\(221\) −20.4085 11.7829i −1.37283 0.792601i
\(222\) −1.65865 2.52959i −0.111321 0.169775i
\(223\) 7.54367 3.51767i 0.505161 0.235561i −0.153294 0.988181i \(-0.548988\pi\)
0.658455 + 0.752620i \(0.271210\pi\)
\(224\) 3.47018 1.26304i 0.231861 0.0843905i
\(225\) −12.8083 7.80684i −0.853888 0.520456i
\(226\) −0.0824210 0.467433i −0.00548256 0.0310932i
\(227\) −1.13786 + 1.13786i −0.0755226 + 0.0755226i −0.743859 0.668337i \(-0.767007\pi\)
0.668337 + 0.743859i \(0.267007\pi\)
\(228\) −7.15975 + 2.39540i −0.474166 + 0.158639i
\(229\) 11.2058i 0.740502i 0.928932 + 0.370251i \(0.120728\pi\)
−0.928932 + 0.370251i \(0.879272\pi\)
\(230\) 19.9208 + 3.13170i 1.31354 + 0.206498i
\(231\) −0.806796 + 2.02254i −0.0530833 + 0.133073i
\(232\) −3.04658 1.42064i −0.200018 0.0932699i
\(233\) 1.43200 + 3.07094i 0.0938136 + 0.201184i 0.947615 0.319415i \(-0.103486\pi\)
−0.853801 + 0.520599i \(0.825709\pi\)
\(234\) 12.0829 3.58040i 0.789883 0.234058i
\(235\) −20.5501 1.41330i −1.34054 0.0921935i
\(236\) 4.97846 2.87432i 0.324070 0.187102i
\(237\) 26.1170 + 13.1624i 1.69648 + 0.854992i
\(238\) 11.8826 + 16.9702i 0.770237 + 1.10001i
\(239\) 8.25386 + 14.2961i 0.533898 + 0.924739i 0.999216 + 0.0395948i \(0.0126067\pi\)
−0.465318 + 0.885144i \(0.654060\pi\)
\(240\) 1.59493 + 3.52933i 0.102952 + 0.227817i
\(241\) 11.4025 + 9.56782i 0.734498 + 0.616317i 0.931354 0.364115i \(-0.118629\pi\)
−0.196856 + 0.980433i \(0.563073\pi\)
\(242\) −9.86435 + 4.59982i −0.634104 + 0.295688i
\(243\) 6.89801 + 13.9792i 0.442508 + 0.896765i
\(244\) −1.92699 2.29650i −0.123363 0.147018i
\(245\) −2.30492 + 14.6616i −0.147256 + 0.936696i
\(246\) −2.46049 4.57865i −0.156875 0.291924i
\(247\) 6.18876 17.2330i 0.393781 1.09651i
\(248\) −3.45962 3.45962i −0.219686 0.219686i
\(249\) 1.35741 1.07020i 0.0860223 0.0678214i
\(250\) 5.28281 + 9.85352i 0.334115 + 0.623191i
\(251\) −9.97043 27.3935i −0.629328 1.72906i −0.682912 0.730500i \(-0.739287\pi\)
0.0535845 0.998563i \(-0.482935\pi\)
\(252\) −10.9571 1.63646i −0.690234 0.103087i
\(253\) 3.05845 0.267580i 0.192283 0.0168226i
\(254\) −8.94404 + 15.4915i −0.561199 + 0.972025i
\(255\) −16.8088 + 13.7670i −1.05261 + 0.862121i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 7.83612 + 11.1911i 0.488804 + 0.698084i 0.985468 0.169858i \(-0.0543310\pi\)
−0.496665 + 0.867943i \(0.665442\pi\)
\(258\) 11.5698 2.72492i 0.720304 0.169646i
\(259\) −5.58529 3.22467i −0.347053 0.200371i
\(260\) −9.11672 2.26194i −0.565395 0.140280i
\(261\) 5.99934 + 8.10598i 0.371350 + 0.501748i
\(262\) 14.4464 + 6.73645i 0.892499 + 0.416179i
\(263\) 23.2166 + 2.03119i 1.43160 + 0.125249i 0.776415 0.630222i \(-0.217036\pi\)
0.655183 + 0.755470i \(0.272592\pi\)
\(264\) 0.365073 + 0.463046i 0.0224687 + 0.0284985i
\(265\) 14.3175 7.00347i 0.879518 0.430220i
\(266\) −11.3333 + 11.4309i −0.694891 + 0.700875i
\(267\) −17.1179 5.15100i −1.04760 0.315236i
\(268\) −3.62374 2.53737i −0.221355 0.154994i
\(269\) 7.98246 6.69808i 0.486699 0.408389i −0.366142 0.930559i \(-0.619322\pi\)
0.852842 + 0.522170i \(0.174877\pi\)
\(270\) 0.846064 11.5881i 0.0514898 0.705230i
\(271\) −9.06553 3.29958i −0.550692 0.200435i 0.0516621 0.998665i \(-0.483548\pi\)
−0.602354 + 0.798229i \(0.705770\pi\)
\(272\) 5.58856 0.488936i 0.338856 0.0296461i
\(273\) 19.5697 18.4111i 1.18441 1.11429i
\(274\) 11.7195 6.76627i 0.708002 0.408765i
\(275\) 1.14188 + 1.26235i 0.0688580 + 0.0761224i
\(276\) 4.89237 + 14.8341i 0.294486 + 0.892910i
\(277\) −2.45442 + 9.16004i −0.147472 + 0.550373i 0.852161 + 0.523280i \(0.175292\pi\)
−0.999633 + 0.0270933i \(0.991375\pi\)
\(278\) −14.3308 + 3.83992i −0.859503 + 0.230303i
\(279\) 4.17013 + 14.0731i 0.249659 + 0.842532i
\(280\) 6.42328 + 5.18927i 0.383864 + 0.310118i
\(281\) 8.43656 + 23.1793i 0.503283 + 1.38276i 0.888051 + 0.459746i \(0.152059\pi\)
−0.384768 + 0.923014i \(0.625718\pi\)
\(282\) −6.29910 14.6596i −0.375106 0.872965i
\(283\) 23.0305 + 16.1261i 1.36902 + 0.958599i 0.999569 + 0.0293494i \(0.00934353\pi\)
0.369452 + 0.929250i \(0.379545\pi\)
\(284\) −6.76540 −0.401453
\(285\) −12.8494 10.9496i −0.761133 0.648595i
\(286\) −1.43008 −0.0845624
\(287\) −9.07813 6.35658i −0.535865 0.375217i
\(288\) −1.86731 + 2.34801i −0.110033 + 0.138358i
\(289\) 4.94939 + 13.5983i 0.291141 + 0.799903i
\(290\) −0.794280 7.47453i −0.0466417 0.438919i
\(291\) 3.11426 14.9761i 0.182561 0.877913i
\(292\) 2.63726 0.706650i 0.154334 0.0413536i
\(293\) 3.60152 13.4410i 0.210403 0.785234i −0.777332 0.629091i \(-0.783427\pi\)
0.987734 0.156143i \(-0.0499061\pi\)
\(294\) −10.9179 + 3.60076i −0.636743 + 0.210001i
\(295\) 11.2498 + 6.21900i 0.654989 + 0.362084i
\(296\) −1.51245 + 0.873211i −0.0879091 + 0.0507543i
\(297\) −0.299827 1.74336i −0.0173977 0.101160i
\(298\) −4.62624 + 0.404743i −0.267991 + 0.0234461i
\(299\) −35.5986 12.9568i −2.05872 0.749314i
\(300\) −4.91962 + 7.12723i −0.284034 + 0.411491i
\(301\) 19.4137 16.2900i 1.11899 0.938941i
\(302\) −2.41823 1.69326i −0.139153 0.0974363i
\(303\) 6.33156 21.0412i 0.363738 1.20878i
\(304\) 1.14621 + 4.20550i 0.0657395 + 0.241202i
\(305\) 2.17515 6.34073i 0.124549 0.363069i
\(306\) −15.4345 6.70933i −0.882333 0.383547i
\(307\) 7.14532 + 0.625135i 0.407805 + 0.0356783i 0.289213 0.957265i \(-0.406606\pi\)
0.118592 + 0.992943i \(0.462162\pi\)
\(308\) 1.13940 + 0.531311i 0.0649234 + 0.0302743i
\(309\) −9.64354 + 1.39873i −0.548602 + 0.0795709i
\(310\) 2.63450 10.6183i 0.149630 0.603080i
\(311\) −12.7345 7.35228i −0.722108 0.416910i 0.0934198 0.995627i \(-0.470220\pi\)
−0.815528 + 0.578717i \(0.803553\pi\)
\(312\) −1.66798 7.08212i −0.0944309 0.400946i
\(313\) 7.21166 + 10.2993i 0.407627 + 0.582152i 0.969506 0.245068i \(-0.0788102\pi\)
−0.561879 + 0.827220i \(0.689921\pi\)
\(314\) 0.416511 2.36215i 0.0235051 0.133304i
\(315\) −9.50857 22.8751i −0.535747 1.28887i
\(316\) 8.44268 14.6231i 0.474938 0.822616i
\(317\) 16.4420 1.43849i 0.923473 0.0807934i 0.384508 0.923122i \(-0.374371\pi\)
0.538965 + 0.842328i \(0.318816\pi\)
\(318\) 9.89264 + 7.38644i 0.554752 + 0.414211i
\(319\) −0.391403 1.07537i −0.0219143 0.0602092i
\(320\) 2.08663 0.803731i 0.116646 0.0449299i
\(321\) −1.02903 1.30518i −0.0574347 0.0728483i
\(322\) 23.5490 + 23.5490i 1.31234 + 1.31234i
\(323\) −21.1243 + 12.3172i −1.17539 + 0.685347i
\(324\) 8.28386 3.51820i 0.460214 0.195455i
\(325\) −6.18698 20.0718i −0.343192 1.11338i
\(326\) −15.7926 18.8209i −0.874673 1.04239i
\(327\) 0.523312 + 9.20786i 0.0289392 + 0.509196i
\(328\) −2.71983 + 1.26828i −0.150178 + 0.0700289i
\(329\) −26.0599 21.8669i −1.43673 1.20556i
\(330\) −0.465658 + 1.23354i −0.0256336 + 0.0679039i
\(331\) 13.3897 + 23.1917i 0.735966 + 1.27473i 0.954298 + 0.298856i \(0.0966049\pi\)
−0.218333 + 0.975874i \(0.570062\pi\)
\(332\) −0.572418 0.817498i −0.0314155 0.0448660i
\(333\) 5.23746 0.137660i 0.287011 0.00754370i
\(334\) −7.52703 + 4.34573i −0.411861 + 0.237788i
\(335\) 0.678693 9.86853i 0.0370810 0.539176i
\(336\) −1.30224 + 6.26230i −0.0710430 + 0.341636i
\(337\) −2.04419 4.38378i −0.111354 0.238800i 0.842731 0.538335i \(-0.180946\pi\)
−0.954085 + 0.299535i \(0.903169\pi\)
\(338\) 4.21087 + 1.96356i 0.229041 + 0.106804i
\(339\) 0.763596 + 0.304601i 0.0414728 + 0.0165436i
\(340\) 7.38490 + 10.1399i 0.400502 + 0.549916i
\(341\) 1.66563i 0.0901988i
\(342\) 2.99691 12.7287i 0.162054 0.688287i
\(343\) 0.946843 0.946843i 0.0511247 0.0511247i
\(344\) −1.19168 6.75833i −0.0642509 0.364385i
\(345\) −22.7676 + 26.4871i −1.22577 + 1.42602i
\(346\) −11.7686 + 4.28341i −0.632682 + 0.230277i
\(347\) −7.63678 + 3.56109i −0.409964 + 0.191169i −0.616649 0.787238i \(-0.711510\pi\)
0.206685 + 0.978408i \(0.433732\pi\)
\(348\) 4.86899 3.19259i 0.261005 0.171141i
\(349\) 24.5339 + 14.1646i 1.31327 + 0.758215i 0.982636 0.185545i \(-0.0594050\pi\)
0.330631 + 0.943760i \(0.392738\pi\)
\(350\) −2.52777 + 18.2906i −0.135115 + 0.977673i
\(351\) −5.73827 + 21.0599i −0.306286 + 1.12409i
\(352\) 0.278869 0.195266i 0.0148637 0.0104077i
\(353\) 2.41598 9.01657i 0.128590 0.479903i −0.871352 0.490658i \(-0.836757\pi\)
0.999942 + 0.0107543i \(0.00342325\pi\)
\(354\) −0.303584 + 9.95230i −0.0161353 + 0.528959i
\(355\) −7.80632 12.9582i −0.414316 0.687749i
\(356\) −3.52992 + 9.69837i −0.187085 + 0.514012i
\(357\) −35.8246 + 2.03603i −1.89604 + 0.107758i
\(358\) 1.74276 19.9198i 0.0921075 1.05279i
\(359\) 0.317352 + 1.79979i 0.0167492 + 0.0949894i 0.992036 0.125951i \(-0.0401983\pi\)
−0.975287 + 0.220941i \(0.929087\pi\)
\(360\) −6.65190 0.867312i −0.350586 0.0457113i
\(361\) −12.3373 14.4496i −0.649333 0.760505i
\(362\) 14.0201 14.0201i 0.736878 0.736878i
\(363\) 2.21488 18.7213i 0.116251 0.982611i
\(364\) −9.97146 11.8835i −0.522646 0.622866i
\(365\) 4.39651 + 4.23592i 0.230124 + 0.221718i
\(366\) 5.13869 0.745331i 0.268604 0.0389591i
\(367\) 1.06923 + 12.2213i 0.0558132 + 0.637948i 0.971654 + 0.236407i \(0.0759698\pi\)
−0.915841 + 0.401541i \(0.868475\pi\)
\(368\) 8.71096 2.33410i 0.454090 0.121673i
\(369\) 8.98626 + 0.548742i 0.467806 + 0.0285664i
\(370\) −3.41766 1.88932i −0.177676 0.0982209i
\(371\) 25.9229 + 4.57090i 1.34585 + 0.237309i
\(372\) 8.24861 1.94271i 0.427670 0.100725i
\(373\) −6.84273 25.5374i −0.354303 1.32228i −0.881359 0.472447i \(-0.843371\pi\)
0.527056 0.849830i \(-0.323296\pi\)
\(374\) 1.46300 + 1.22760i 0.0756500 + 0.0634779i
\(375\) −19.3278 1.19903i −0.998081 0.0619178i
\(376\) −8.65644 + 3.15068i −0.446422 + 0.162484i
\(377\) −1.23072 + 14.0672i −0.0633852 + 0.724496i
\(378\) 12.3962 14.6473i 0.637591 0.753377i
\(379\) 3.38122i 0.173682i 0.996222 + 0.0868408i \(0.0276772\pi\)
−0.996222 + 0.0868408i \(0.972323\pi\)
\(380\) −6.73248 + 7.04795i −0.345369 + 0.361552i
\(381\) −14.6662 27.2920i −0.751373 1.39821i
\(382\) −12.5311 + 17.8962i −0.641144 + 0.915649i
\(383\) −30.9545 2.70817i −1.58170 0.138381i −0.737852 0.674963i \(-0.764160\pi\)
−0.843848 + 0.536582i \(0.819715\pi\)
\(384\) 1.29227 + 1.15328i 0.0659457 + 0.0588530i
\(385\) 0.297055 + 2.79542i 0.0151393 + 0.142468i
\(386\) 7.93404 9.45542i 0.403832 0.481268i
\(387\) −6.53069 + 19.5245i −0.331974 + 0.992487i
\(388\) −8.53049 2.28574i −0.433070 0.116041i
\(389\) 4.26737 24.2014i 0.216364 1.22706i −0.662159 0.749363i \(-0.730360\pi\)
0.878524 0.477699i \(-0.158529\pi\)
\(390\) 11.6402 11.3666i 0.589424 0.575568i
\(391\) 25.2958 + 43.8136i 1.27926 + 2.21575i
\(392\) 1.71789 + 6.41124i 0.0867663 + 0.323816i
\(393\) −23.0879 + 15.1387i −1.16463 + 0.763646i
\(394\) 0.252851 0.694703i 0.0127385 0.0349986i
\(395\) 37.7503 0.702280i 1.89942 0.0353355i
\(396\) −1.01473 + 0.115714i −0.0509921 + 0.00581487i
\(397\) −6.48617 + 9.26321i −0.325532 + 0.464907i −0.948244 0.317544i \(-0.897142\pi\)
0.622712 + 0.782451i \(0.286031\pi\)
\(398\) −3.08543 3.08543i −0.154659 0.154659i
\(399\) −6.50788 27.1105i −0.325801 1.35722i
\(400\) 3.94711 + 3.06925i 0.197356 + 0.153463i
\(401\) −22.8263 + 4.02490i −1.13989 + 0.200994i −0.711559 0.702627i \(-0.752010\pi\)
−0.428334 + 0.903621i \(0.640899\pi\)
\(402\) 7.03981 3.02495i 0.351114 0.150871i
\(403\) −8.68593 + 18.6270i −0.432677 + 0.927879i
\(404\) −11.9211 4.33894i −0.593099 0.215870i
\(405\) 16.2970 + 11.8071i 0.809806 + 0.586698i
\(406\) 6.20687 10.7506i 0.308042 0.533544i
\(407\) −0.574286 0.153879i −0.0284663 0.00762752i
\(408\) −4.37302 + 8.67697i −0.216497 + 0.429574i
\(409\) −35.2653 6.21823i −1.74376 0.307471i −0.791138 0.611637i \(-0.790511\pi\)
−0.952619 + 0.304166i \(0.901622\pi\)
\(410\) −5.56751 3.74604i −0.274960 0.185004i
\(411\) −0.714649 + 23.4281i −0.0352510 + 1.15562i
\(412\) 0.490335 + 5.60455i 0.0241571 + 0.276117i
\(413\) 8.97178 + 19.2401i 0.441473 + 0.946741i
\(414\) −26.3078 6.31324i −1.29296 0.310279i
\(415\) 0.905313 2.03967i 0.0444401 0.100123i
\(416\) −4.13692 + 0.729450i −0.202829 + 0.0357642i
\(417\) 7.40465 24.6073i 0.362607 1.20503i
\(418\) −0.736446 + 1.28829i −0.0360207 + 0.0630121i
\(419\) 22.3532 1.09203 0.546014 0.837776i \(-0.316145\pi\)
0.546014 + 0.837776i \(0.316145\pi\)
\(420\) −13.4972 + 4.73155i −0.658594 + 0.230876i
\(421\) 2.14614 1.80083i 0.104597 0.0877669i −0.588990 0.808141i \(-0.700474\pi\)
0.693586 + 0.720374i \(0.256030\pi\)
\(422\) 12.0610 25.8648i 0.587118 1.25908i
\(423\) 27.3328 + 4.08218i 1.32897 + 0.198483i
\(424\) 4.58177 5.46034i 0.222510 0.265178i
\(425\) −10.9005 + 25.8448i −0.528753 + 1.25366i
\(426\) 6.16570 9.96474i 0.298729 0.482793i
\(427\) 9.06866 6.34994i 0.438863 0.307295i
\(428\) −0.786045 + 0.550395i −0.0379949 + 0.0266043i
\(429\) 1.30331 2.10636i 0.0629246 0.101696i
\(430\) 11.5696 10.0807i 0.557937 0.486132i
\(431\) 11.0126 13.1243i 0.530457 0.632174i −0.432563 0.901604i \(-0.642391\pi\)
0.963020 + 0.269430i \(0.0868351\pi\)
\(432\) −1.75658 4.89024i −0.0845137 0.235282i
\(433\) 0.821778 1.76231i 0.0394921 0.0846911i −0.885572 0.464502i \(-0.846233\pi\)
0.925064 + 0.379811i \(0.124011\pi\)
\(434\) 13.8408 11.6138i 0.664382 0.557483i
\(435\) 11.7331 + 5.64207i 0.562558 + 0.270517i
\(436\) 5.32474 0.255009
\(437\) −30.0043 + 25.3966i −1.43530 + 1.21489i
\(438\) −1.36266 + 4.52842i −0.0651103 + 0.216376i
\(439\) 6.70671 1.18257i 0.320094 0.0564411i −0.0112929 0.999936i \(-0.503595\pi\)
0.331386 + 0.943495i \(0.392484\pi\)
\(440\) 0.695780 + 0.308825i 0.0331700 + 0.0147226i
\(441\) 4.64652 19.3625i 0.221263 0.922023i
\(442\) −9.95931 21.3578i −0.473716 1.01589i
\(443\) 0.0902980 + 1.03211i 0.00429019 + 0.0490370i 0.998038 0.0626108i \(-0.0199427\pi\)
−0.993748 + 0.111648i \(0.964387\pi\)
\(444\) 0.0922280 3.02348i 0.00437695 0.143488i
\(445\) −22.6489 + 4.42949i −1.07366 + 0.209978i
\(446\) 8.19706 + 1.44536i 0.388142 + 0.0684399i
\(447\) 3.62001 7.18284i 0.171221 0.339737i
\(448\) 3.56705 + 0.955789i 0.168527 + 0.0451568i
\(449\) −8.18537 + 14.1775i −0.386292 + 0.669077i −0.991947 0.126650i \(-0.959577\pi\)
0.605656 + 0.795727i \(0.292911\pi\)
\(450\) −6.01414 13.7415i −0.283509 0.647783i
\(451\) −0.960035 0.349424i −0.0452063 0.0164537i
\(452\) 0.200593 0.430173i 0.00943510 0.0202336i
\(453\) 4.69787 2.01864i 0.220725 0.0948439i
\(454\) −1.58473 + 0.279431i −0.0743752 + 0.0131144i
\(455\) 11.2556 32.8109i 0.527669 1.53820i
\(456\) −7.23887 2.14446i −0.338991 0.100424i
\(457\) −19.5562 19.5562i −0.914801 0.914801i 0.0818443 0.996645i \(-0.473919\pi\)
−0.996645 + 0.0818443i \(0.973919\pi\)
\(458\) −6.42740 + 9.17927i −0.300332 + 0.428919i
\(459\) 23.9485 16.6189i 1.11782 0.775703i
\(460\) 14.5219 + 13.9914i 0.677085 + 0.652353i
\(461\) −9.63162 + 26.4626i −0.448589 + 1.23249i 0.485117 + 0.874449i \(0.338777\pi\)
−0.933707 + 0.358039i \(0.883445\pi\)
\(462\) −1.82097 + 1.19401i −0.0847192 + 0.0555502i
\(463\) 0.589273 + 2.19920i 0.0273859 + 0.102205i 0.978266 0.207354i \(-0.0664852\pi\)
−0.950880 + 0.309559i \(0.899818\pi\)
\(464\) −1.68077 2.91117i −0.0780276 0.135148i
\(465\) 13.2387 + 13.5574i 0.613931 + 0.628711i
\(466\) −0.588391 + 3.33693i −0.0272567 + 0.154580i
\(467\) 4.98982 + 1.33702i 0.230901 + 0.0618698i 0.372414 0.928067i \(-0.378530\pi\)
−0.141513 + 0.989936i \(0.545197\pi\)
\(468\) 11.9514 + 3.99757i 0.552452 + 0.184788i
\(469\) 10.5009 12.5145i 0.484885 0.577864i
\(470\) −16.0230 12.9448i −0.739086 0.597097i
\(471\) 3.09962 + 2.76624i 0.142823 + 0.127462i
\(472\) 5.72676 + 0.501027i 0.263595 + 0.0230616i
\(473\) 1.34003 1.91376i 0.0616146 0.0879948i
\(474\) 13.8441 + 25.7621i 0.635881 + 1.18329i
\(475\) −21.2677 4.76279i −0.975830 0.218532i
\(476\) 20.7167i 0.949550i
\(477\) −19.8952 + 7.83917i −0.910939 + 0.358931i
\(478\) −1.43874 + 16.4449i −0.0658066 + 0.752173i
\(479\) 4.80640 1.74939i 0.219610 0.0799315i −0.229872 0.973221i \(-0.573831\pi\)
0.449482 + 0.893289i \(0.351609\pi\)
\(480\) −0.717850 + 3.80588i −0.0327652 + 0.173714i
\(481\) 5.61990 + 4.71565i 0.256245 + 0.215015i
\(482\) 3.85249 + 14.3777i 0.175476 + 0.654886i
\(483\) −56.1469 + 13.2237i −2.55477 + 0.601701i
\(484\) −10.7187 1.89000i −0.487216 0.0859093i
\(485\) −5.46497 18.9764i −0.248152 0.861673i
\(486\) −2.36761 + 15.4076i −0.107397 + 0.698903i
\(487\) 35.0165 9.38264i 1.58675 0.425168i 0.645742 0.763555i \(-0.276548\pi\)
0.941007 + 0.338387i \(0.109881\pi\)
\(488\) −0.261281 2.98646i −0.0118277 0.135191i
\(489\) 42.1140 6.10834i 1.90446 0.276229i
\(490\) −10.2976 + 10.6880i −0.465200 + 0.482836i
\(491\) 0.209252 + 0.249377i 0.00944342 + 0.0112542i 0.770745 0.637143i \(-0.219884\pi\)
−0.761302 + 0.648397i \(0.775440\pi\)
\(492\) 0.610694 5.16189i 0.0275322 0.232716i
\(493\) 13.3345 13.3345i 0.600557 0.600557i
\(494\) 14.9540 10.5667i 0.672812 0.475420i
\(495\) −1.39249 1.81006i −0.0625878 0.0813561i
\(496\) −0.849597 4.81831i −0.0381480 0.216348i
\(497\) 2.17749 24.8888i 0.0976736 1.11641i
\(498\) 1.72577 0.0980808i 0.0773335 0.00439511i
\(499\) −6.84179 + 18.7977i −0.306281 + 0.841499i 0.687093 + 0.726569i \(0.258886\pi\)
−0.993374 + 0.114929i \(0.963336\pi\)
\(500\) −1.32432 + 11.1016i −0.0592254 + 0.496480i
\(501\) 0.458994 15.0471i 0.0205063 0.672253i
\(502\) 7.54498 28.1583i 0.336749 1.25676i
\(503\) −0.359113 + 0.251453i −0.0160120 + 0.0112118i −0.581555 0.813507i \(-0.697556\pi\)
0.565543 + 0.824719i \(0.308667\pi\)
\(504\) −8.03692 7.62526i −0.357993 0.339656i
\(505\) −5.44468 27.8398i −0.242285 1.23886i
\(506\) 2.65882 + 1.53507i 0.118199 + 0.0682421i
\(507\) −6.72973 + 4.41267i −0.298878 + 0.195974i
\(508\) −16.2121 + 7.55983i −0.719296 + 0.335413i
\(509\) 0.353795 0.128771i 0.0156817 0.00570767i −0.334167 0.942514i \(-0.608455\pi\)
0.349849 + 0.936806i \(0.386233\pi\)
\(510\) −21.6654 + 1.63609i −0.959360 + 0.0724473i
\(511\) 1.75083 + 9.92946i 0.0774522 + 0.439253i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) 16.0167 + 16.0145i 0.707157 + 0.707057i
\(514\) 13.6619i 0.602599i
\(515\) −10.1690 + 7.40604i −0.448098 + 0.326349i
\(516\) 11.0404 + 4.40404i 0.486025 + 0.193877i
\(517\) −2.84226 1.32537i −0.125003 0.0582896i
\(518\) −2.72561 5.84508i −0.119756 0.256818i
\(519\) 4.41635 21.2376i 0.193856 0.932228i
\(520\) −6.17058 7.08201i −0.270598 0.310567i
\(521\) −25.6690 + 14.8200i −1.12458 + 0.649277i −0.942567 0.334018i \(-0.891595\pi\)
−0.182015 + 0.983296i \(0.558262\pi\)
\(522\) 0.264969 + 10.0811i 0.0115974 + 0.441238i
\(523\) 6.86361 + 9.80226i 0.300125 + 0.428623i 0.940683 0.339287i \(-0.110186\pi\)
−0.640558 + 0.767910i \(0.721297\pi\)
\(524\) 7.96990 + 13.8043i 0.348167 + 0.603042i
\(525\) −24.6365 20.3924i −1.07522 0.889997i
\(526\) 17.8529 + 14.9804i 0.778423 + 0.653175i
\(527\) 24.8756 11.5997i 1.08360 0.505291i
\(528\) 0.0334578 + 0.588702i 0.00145606 + 0.0256200i
\(529\) 37.4931 + 44.6825i 1.63013 + 1.94272i
\(530\) 15.7452 + 2.47528i 0.683930 + 0.107519i
\(531\) −14.3820 9.51725i −0.624128 0.413013i
\(532\) −15.8402 + 2.86314i −0.686761 + 0.124133i
\(533\) 8.91408 + 8.91408i 0.386112 + 0.386112i
\(534\) −11.0677 14.0379i −0.478946 0.607479i
\(535\) −1.96119 0.870482i −0.0847897 0.0376342i
\(536\) −1.51302 4.15698i −0.0653524 0.179554i
\(537\) 27.7516 + 20.7210i 1.19757 + 0.894175i
\(538\) 10.3807 0.908194i 0.447544 0.0391550i
\(539\) −1.12980 + 1.95688i −0.0486641 + 0.0842887i
\(540\) 7.33972 9.00714i 0.315851 0.387605i
\(541\) −2.45885 + 13.9448i −0.105714 + 0.599535i 0.885219 + 0.465175i \(0.154009\pi\)
−0.990933 + 0.134359i \(0.957102\pi\)
\(542\) −5.53348 7.90263i −0.237683 0.339447i
\(543\) 7.87284 + 33.4274i 0.337856 + 1.43451i
\(544\) 4.85832 + 2.80495i 0.208299 + 0.120261i
\(545\) 6.14400 + 10.1988i 0.263180 + 0.436869i
\(546\) 26.5908 3.85680i 1.13798 0.165056i
\(547\) 16.4815 + 7.68543i 0.704696 + 0.328605i 0.741720 0.670709i \(-0.234010\pi\)
−0.0370243 + 0.999314i \(0.511788\pi\)
\(548\) 13.4810 + 1.17944i 0.575881 + 0.0503831i
\(549\) −3.58539 + 8.24803i −0.153021 + 0.352017i
\(550\) 0.211321 + 1.68901i 0.00901078 + 0.0720196i
\(551\) 12.0386 + 8.35283i 0.512862 + 0.355843i
\(552\) −4.50092 + 14.9576i −0.191572 + 0.636636i
\(553\) 51.0788 + 35.7658i 2.17209 + 1.52091i
\(554\) −7.26453 + 6.09566i −0.308640 + 0.258980i
\(555\) 5.89748 3.31203i 0.250334 0.140588i
\(556\) −13.9416 5.07432i −0.591255 0.215199i
\(557\) 31.7581 2.77847i 1.34563 0.117728i 0.608543 0.793521i \(-0.291754\pi\)
0.737091 + 0.675793i \(0.236199\pi\)
\(558\) −4.65601 + 13.9199i −0.197105 + 0.589275i
\(559\) −24.9657 + 14.4140i −1.05594 + 0.609646i
\(560\) 2.28520 + 7.93504i 0.0965672 + 0.335317i
\(561\) −3.14145 + 1.03607i −0.132632 + 0.0437427i
\(562\) −6.38425 + 23.8264i −0.269303 + 1.00505i
\(563\) −13.5243 + 3.62381i −0.569979 + 0.152725i −0.532287 0.846564i \(-0.678667\pi\)
−0.0376922 + 0.999289i \(0.512001\pi\)
\(564\) 3.24847 15.6214i 0.136785 0.657781i
\(565\) 1.05539 0.112151i 0.0444007 0.00471824i
\(566\) 9.61592 + 26.4195i 0.404187 + 1.11049i
\(567\) 10.2767 + 31.6073i 0.431579 + 1.32738i
\(568\) −5.54189 3.88047i −0.232533 0.162821i
\(569\) −26.5717 −1.11394 −0.556972 0.830531i \(-0.688037\pi\)
−0.556972 + 0.830531i \(0.688037\pi\)
\(570\) −4.24522 16.3395i −0.177813 0.684385i
\(571\) 6.05017 0.253192 0.126596 0.991954i \(-0.459595\pi\)
0.126596 + 0.991954i \(0.459595\pi\)
\(572\) −1.17145 0.820260i −0.0489809 0.0342968i
\(573\) −14.9390 34.7668i −0.624086 1.45240i
\(574\) −3.79039 10.4140i −0.158208 0.434672i
\(575\) −10.0424 + 43.9587i −0.418798 + 1.83321i
\(576\) −2.87638 + 0.852327i −0.119849 + 0.0355136i
\(577\) −31.3084 + 8.38906i −1.30339 + 0.349241i −0.842729 0.538338i \(-0.819052\pi\)
−0.460656 + 0.887579i \(0.652386\pi\)
\(578\) −3.74539 + 13.9780i −0.155788 + 0.581407i
\(579\) 6.69613 + 20.3033i 0.278281 + 0.843776i
\(580\) 3.63658 6.57835i 0.151001 0.273151i
\(581\) 3.19167 1.84271i 0.132413 0.0764486i
\(582\) 11.1410 10.4814i 0.461808 0.434468i
\(583\) 2.41738 0.211493i 0.100118 0.00875917i
\(584\) 2.56563 + 0.933813i 0.106167 + 0.0386415i
\(585\) 6.13340 + 27.5038i 0.253585 + 1.13714i
\(586\) 10.6597 8.94451i 0.440346 0.369494i
\(587\) 30.7080 + 21.5020i 1.26745 + 0.887481i 0.997161 0.0752973i \(-0.0239906\pi\)
0.270293 + 0.962778i \(0.412879\pi\)
\(588\) −11.0087 3.31266i −0.453991 0.136612i
\(589\) 12.3072 + 17.4170i 0.507108 + 0.717657i
\(590\) 5.64823 + 11.5469i 0.232534 + 0.475379i
\(591\) 0.792788 + 1.00555i 0.0326110 + 0.0413626i
\(592\) −1.73978 0.152211i −0.0715043 0.00625582i
\(593\) 2.90323 + 1.35380i 0.119221 + 0.0555939i 0.481314 0.876548i \(-0.340160\pi\)
−0.362092 + 0.932142i \(0.617938\pi\)
\(594\) 0.754347 1.60005i 0.0309512 0.0656509i
\(595\) −39.6800 + 23.9042i −1.62672 + 0.979977i
\(596\) −4.02174 2.32195i −0.164737 0.0951109i
\(597\) 7.35646 1.73259i 0.301080 0.0709104i
\(598\) −21.7290 31.0322i −0.888563 1.26900i
\(599\) −6.85874 + 38.8979i −0.280241 + 1.58932i 0.441566 + 0.897229i \(0.354423\pi\)
−0.721807 + 0.692095i \(0.756688\pi\)
\(600\) −8.11793 + 3.01650i −0.331413 + 0.123148i
\(601\) −9.62535 + 16.6716i −0.392626 + 0.680049i −0.992795 0.119825i \(-0.961767\pi\)
0.600169 + 0.799873i \(0.295100\pi\)
\(602\) 25.2463 2.20877i 1.02896 0.0900226i
\(603\) −1.96034 + 13.1257i −0.0798313 + 0.534521i
\(604\) −1.00968 2.77408i −0.0410834 0.112876i
\(605\) −8.74789 22.7111i −0.355652 0.923337i
\(606\) 17.2552 13.6043i 0.700946 0.552637i
\(607\) −18.3043 18.3043i −0.742947 0.742947i 0.230197 0.973144i \(-0.426063\pi\)
−0.973144 + 0.230197i \(0.926063\pi\)
\(608\) −1.47326 + 4.10238i −0.0597484 + 0.166373i
\(609\) 10.1779 + 18.9397i 0.412429 + 0.767477i
\(610\) 5.41867 3.94640i 0.219396 0.159785i
\(611\) 24.8740 + 29.6437i 1.00630 + 1.19926i
\(612\) −8.79491 14.3488i −0.355513 0.580017i
\(613\) −29.7537 + 13.8744i −1.20174 + 0.560382i −0.917256 0.398299i \(-0.869601\pi\)
−0.284486 + 0.958680i \(0.591823\pi\)
\(614\) 5.49454 + 4.61047i 0.221742 + 0.186063i
\(615\) 10.5915 4.78639i 0.427092 0.193006i
\(616\) 0.628595 + 1.08876i 0.0253268 + 0.0438673i
\(617\) −19.2125 27.4383i −0.773465 1.10462i −0.991681 0.128722i \(-0.958912\pi\)
0.218215 0.975901i \(-0.429977\pi\)
\(618\) −8.70181 4.38554i −0.350038 0.176412i
\(619\) 26.8288 15.4896i 1.07834 0.622580i 0.147892 0.989004i \(-0.452751\pi\)
0.930448 + 0.366424i \(0.119418\pi\)
\(620\) 8.24848 7.18693i 0.331267 0.288634i
\(621\) 33.2746 32.9952i 1.33526 1.32405i
\(622\) −6.21442 13.3269i −0.249175 0.534358i
\(623\) −34.5425 16.1075i −1.38392 0.645331i
\(624\) 2.69580 6.75804i 0.107919 0.270538i
\(625\) −22.7917 + 10.2732i −0.911668 + 0.410927i
\(626\) 12.5731i 0.502524i
\(627\) −1.22635 2.25880i −0.0489756 0.0902077i
\(628\) 1.69606 1.69606i 0.0676802 0.0676802i
\(629\) −1.70128 9.64842i −0.0678343 0.384708i
\(630\) 5.33165 24.1921i 0.212418 0.963835i
\(631\) 35.3856 12.8793i 1.40868 0.512717i 0.477937 0.878394i \(-0.341385\pi\)
0.930742 + 0.365677i \(0.119162\pi\)
\(632\) 15.3033 7.13606i 0.608734 0.283857i
\(633\) 27.1044 + 41.3366i 1.07730 + 1.64298i
\(634\) 14.2936 + 8.25239i 0.567669 + 0.327744i
\(635\) −33.1863 22.3291i −1.31696 0.886101i
\(636\) 3.86689 + 11.7248i 0.153332 + 0.464919i
\(637\) 22.8396 15.9924i 0.904937 0.633643i
\(638\) 0.296189 1.10539i 0.0117262 0.0437629i
\(639\) 9.05789 + 18.1629i 0.358325 + 0.718512i
\(640\) 2.17027 + 0.538463i 0.0857873 + 0.0212846i
\(641\) −6.20561 + 17.0498i −0.245107 + 0.673426i 0.754742 + 0.656022i \(0.227762\pi\)
−0.999849 + 0.0174035i \(0.994460\pi\)
\(642\) −0.0943072 1.65937i −0.00372201 0.0654901i
\(643\) 4.04805 46.2694i 0.159639 1.82469i −0.320223 0.947342i \(-0.603758\pi\)
0.479862 0.877344i \(-0.340687\pi\)
\(644\) 5.78307 + 32.7974i 0.227885 + 1.29240i
\(645\) 4.30372 + 26.2279i 0.169459 + 1.03272i
\(646\) −24.3689 2.02676i −0.958781 0.0797418i
\(647\) 26.4427 26.4427i 1.03957 1.03957i 0.0403862 0.999184i \(-0.487141\pi\)
0.999184 0.0403862i \(-0.0128588\pi\)
\(648\) 8.80369 + 1.86948i 0.345842 + 0.0734403i
\(649\) 1.25796 + 1.49918i 0.0493793 + 0.0588480i
\(650\) 6.44462 19.9905i 0.252779 0.784093i
\(651\) 4.49206 + 30.9705i 0.176058 + 1.21383i
\(652\) −2.14133 24.4755i −0.0838608 0.958534i
\(653\) 38.3036 10.2634i 1.49894 0.401639i 0.586193 0.810171i \(-0.300626\pi\)
0.912744 + 0.408532i \(0.133959\pi\)
\(654\) −4.85274 + 7.84280i −0.189757 + 0.306678i
\(655\) −17.2440 + 31.1934i −0.673779 + 1.21883i
\(656\) −2.95541 0.521118i −0.115389 0.0203463i
\(657\) −5.42803 6.13406i −0.211768 0.239313i
\(658\) −8.80471 32.8596i −0.343244 1.28100i
\(659\) −7.83596 6.57515i −0.305246 0.256131i 0.477278 0.878752i \(-0.341623\pi\)
−0.782524 + 0.622621i \(0.786068\pi\)
\(660\) −1.08897 + 0.743363i −0.0423882 + 0.0289354i
\(661\) −21.9995 + 8.00717i −0.855682 + 0.311443i −0.732355 0.680923i \(-0.761579\pi\)
−0.123327 + 0.992366i \(0.539356\pi\)
\(662\) −2.33398 + 26.6775i −0.0907128 + 1.03685i
\(663\) 40.5344 + 4.79555i 1.57422 + 0.186244i
\(664\) 0.997981i 0.0387292i
\(665\) −23.7614 27.0361i −0.921426 1.04842i
\(666\) 4.36923 + 2.89132i 0.169304 + 0.112036i
\(667\) 17.3880 24.8327i 0.673268 0.961526i
\(668\) −8.65839 0.757511i −0.335003 0.0293090i
\(669\) −9.59933 + 10.7562i −0.371131 + 0.415859i
\(670\) 6.21631 7.69455i 0.240157 0.297266i
\(671\) 0.656017 0.781811i 0.0253253 0.0301815i
\(672\) −4.65864 + 4.38284i −0.179711 + 0.169072i
\(673\) 15.7944 + 4.23210i 0.608830 + 0.163135i 0.550045 0.835135i \(-0.314611\pi\)
0.0587852 + 0.998271i \(0.481277\pi\)
\(674\) 0.839931 4.76348i 0.0323529 0.183483i
\(675\) 25.7209 + 3.66524i 0.989999 + 0.141075i
\(676\) 2.32309 + 4.02371i 0.0893495 + 0.154758i
\(677\) 6.02198 + 22.4743i 0.231443 + 0.863758i 0.979720 + 0.200372i \(0.0642149\pi\)
−0.748277 + 0.663387i \(0.769118\pi\)
\(678\) 0.450789 + 0.687495i 0.0173125 + 0.0264031i
\(679\) 11.1544 30.6466i 0.428068 1.17611i
\(680\) 0.233322 + 12.5420i 0.00894749 + 0.480962i
\(681\) 1.03268 2.58881i 0.0395725 0.0992035i
\(682\) 0.955365 1.36440i 0.0365828 0.0522457i
\(683\) −11.3200 11.3200i −0.433148 0.433148i 0.456550 0.889698i \(-0.349085\pi\)
−0.889698 + 0.456550i \(0.849085\pi\)
\(684\) 9.75578 8.70775i 0.373021 0.332949i
\(685\) 13.2962 + 27.1820i 0.508021 + 1.03857i
\(686\) 1.31870 0.232522i 0.0503480 0.00887772i
\(687\) −7.66248 17.8325i −0.292342 0.680352i
\(688\) 2.90026 6.21962i 0.110571 0.237121i
\(689\) −28.1369 10.2410i −1.07193 0.390151i
\(690\) −33.8425 + 8.63803i −1.28836 + 0.328844i
\(691\) 5.80549 10.0554i 0.220851 0.382526i −0.734215 0.678917i \(-0.762450\pi\)
0.955067 + 0.296391i \(0.0957831\pi\)
\(692\) −12.0971 3.24141i −0.459863 0.123220i
\(693\) −0.0990966 3.77027i −0.00376437 0.143221i
\(694\) −8.29825 1.46320i −0.314997 0.0555425i
\(695\) −6.36747 32.5582i −0.241532 1.23500i
\(696\) 5.81963 + 0.177521i 0.220593 + 0.00672893i
\(697\) −1.46730 16.7713i −0.0555778 0.635257i
\(698\) 11.9725 + 25.6750i 0.453164 + 0.971814i
\(699\) −4.37872 3.90777i −0.165618 0.147806i
\(700\) −12.5617 + 13.5329i −0.474787 + 0.511496i
\(701\) −39.4214 + 6.95105i −1.48892 + 0.262537i −0.858138 0.513419i \(-0.828379\pi\)
−0.630786 + 0.775957i \(0.717267\pi\)
\(702\) −16.7800 + 13.9599i −0.633319 + 0.526883i
\(703\) 7.14216 2.63426i 0.269372 0.0993532i
\(704\) 0.340436 0.0128307
\(705\) 33.6690 11.8030i 1.26805 0.444525i
\(706\) 7.15075 6.00019i 0.269122 0.225820i
\(707\) 19.7991 42.4594i 0.744623 1.59685i
\(708\) −5.95708 + 7.97832i −0.223881 + 0.299844i
\(709\) −7.58824 + 9.04331i −0.284982 + 0.339629i −0.889477 0.456981i \(-0.848931\pi\)
0.604494 + 0.796610i \(0.293375\pi\)
\(710\) 1.03795 15.0922i 0.0389534 0.566402i
\(711\) −50.5619 3.08754i −1.89622 0.115792i
\(712\) −8.45429 + 5.91976i −0.316838 + 0.221852i
\(713\) 36.1435 25.3079i 1.35358 0.947789i
\(714\) −30.5136 18.8804i −1.14194 0.706580i
\(715\) 0.219402 3.19022i 0.00820519 0.119308i
\(716\) 12.8531 15.3177i 0.480343 0.572451i
\(717\) −22.9105 17.1063i −0.855607 0.638847i
\(718\) −0.772359 + 1.65633i −0.0288242 + 0.0618136i
\(719\) −13.3769 + 11.2245i −0.498874 + 0.418605i −0.857194 0.514994i \(-0.827794\pi\)
0.358320 + 0.933599i \(0.383350\pi\)
\(720\) −4.95145 4.52583i −0.184530 0.168668i
\(721\) −20.7760 −0.773740
\(722\) −1.81820 18.9128i −0.0676663 0.703862i
\(723\) −24.6879 7.42889i −0.918152 0.276283i
\(724\) 19.5261 3.44299i 0.725684 0.127958i
\(725\) 16.7960 0.625139i 0.623789 0.0232171i
\(726\) 12.5524 14.0652i 0.465863 0.522007i
\(727\) −10.0734 21.6026i −0.373604 0.801195i −0.999769 0.0215050i \(-0.993154\pi\)
0.626165 0.779690i \(-0.284624\pi\)
\(728\) −1.35203 15.4538i −0.0501097 0.572756i
\(729\) −20.5361 17.5291i −0.760596 0.649225i
\(730\) 1.17179 + 5.99160i 0.0433698 + 0.221759i
\(731\) 37.9136 + 6.68519i 1.40229 + 0.247261i
\(732\) 4.63687 + 2.33689i 0.171384 + 0.0863740i
\(733\) −9.65135 2.58607i −0.356481 0.0955188i 0.0761340 0.997098i \(-0.475742\pi\)
−0.432615 + 0.901579i \(0.642409\pi\)
\(734\) −6.13401 + 10.6244i −0.226410 + 0.392154i
\(735\) −6.35756 24.9080i −0.234502 0.918745i
\(736\) 8.47438 + 3.08442i 0.312370 + 0.113693i
\(737\) 0.636467 1.36491i 0.0234446 0.0502770i
\(738\) 7.04637 + 5.60381i 0.259381 + 0.206279i
\(739\) −30.3922 + 5.35897i −1.11800 + 0.197133i −0.701961 0.712215i \(-0.747692\pi\)
−0.416036 + 0.909348i \(0.636581\pi\)
\(740\) −1.71592 3.50793i −0.0630784 0.128954i
\(741\) 1.93529 + 31.6558i 0.0710946 + 1.16290i
\(742\) 18.6130 + 18.6130i 0.683305 + 0.683305i
\(743\) −1.51702 + 2.16652i −0.0556539 + 0.0794820i −0.846014 0.533160i \(-0.821004\pi\)
0.790360 + 0.612642i \(0.209893\pi\)
\(744\) 7.87116 + 3.13983i 0.288571 + 0.115112i
\(745\) −0.193145 10.3823i −0.00707629 0.380378i
\(746\) 9.04242 24.8439i 0.331067 0.909598i
\(747\) −1.42833 + 2.63127i −0.0522598 + 0.0962730i
\(748\) 0.494296 + 1.84474i 0.0180733 + 0.0674503i
\(749\) −1.77182 3.06888i −0.0647408 0.112134i
\(750\) −15.1446 12.0681i −0.553004 0.440666i
\(751\) −7.00962 + 39.7536i −0.255785 + 1.45063i 0.538265 + 0.842775i \(0.319080\pi\)
−0.794050 + 0.607852i \(0.792031\pi\)
\(752\) −8.89810 2.38424i −0.324480 0.0869442i
\(753\) 34.5981 + 36.7752i 1.26082 + 1.34016i
\(754\) −9.07674 + 10.8172i −0.330555 + 0.393940i
\(755\) 4.14833 5.13480i 0.150973 0.186875i
\(756\) 18.5557 4.88822i 0.674865 0.177783i
\(757\) −21.3102 1.86440i −0.774534 0.0677629i −0.306966 0.951720i \(-0.599314\pi\)
−0.467567 + 0.883957i \(0.654869\pi\)
\(758\) −1.93939 + 2.76973i −0.0704418 + 0.100601i
\(759\) −4.68413 + 2.51717i −0.170023 + 0.0913674i
\(760\) −9.55747 + 1.91175i −0.346686 + 0.0693465i
\(761\) 0.522080i 0.0189254i −0.999955 0.00946269i \(-0.996988\pi\)
0.999955 0.00946269i \(-0.00301211\pi\)
\(762\) 3.64016 30.7685i 0.131869 1.11462i
\(763\) −1.71380 + 19.5888i −0.0620438 + 0.709163i
\(764\) −20.5297 + 7.47219i −0.742737 + 0.270334i
\(765\) 17.3351 33.4020i 0.626753 1.20765i
\(766\) −23.8031 19.9732i −0.860041 0.721660i
\(767\) −6.25009 23.3257i −0.225678 0.842240i
\(768\) 0.397069 + 1.68592i 0.0143280 + 0.0608355i
\(769\) −20.7375 3.65658i −0.747813 0.131860i −0.213261 0.976995i \(-0.568409\pi\)
−0.534552 + 0.845136i \(0.679520\pi\)
\(770\) −1.36006 + 2.46026i −0.0490130 + 0.0886616i
\(771\) −20.1225 12.4508i −0.724695 0.448406i
\(772\) 11.9226 3.19465i 0.429104 0.114978i
\(773\) −1.84853 21.1287i −0.0664869 0.759948i −0.954125 0.299407i