Properties

Label 804.2.bd.a.23.11
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.11
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.35898 - 0.391381i) q^{2} +(-0.812487 - 1.52966i) q^{3} +(1.69364 + 1.06376i) q^{4} +(0.160397 - 0.0732507i) q^{5} +(0.505471 + 2.39677i) q^{6} +(0.691946 + 0.725692i) q^{7} +(-1.88529 - 2.10848i) q^{8} +(-1.67973 + 2.48566i) q^{9} +O(q^{10})\) \(q+(-1.35898 - 0.391381i) q^{2} +(-0.812487 - 1.52966i) q^{3} +(1.69364 + 1.06376i) q^{4} +(0.160397 - 0.0732507i) q^{5} +(0.505471 + 2.39677i) q^{6} +(0.691946 + 0.725692i) q^{7} +(-1.88529 - 2.10848i) q^{8} +(-1.67973 + 2.48566i) q^{9} +(-0.246644 + 0.0367698i) q^{10} +(-2.26424 - 0.216209i) q^{11} +(0.251126 - 3.45499i) q^{12} +(5.00663 + 0.964949i) q^{13} +(-0.656317 - 1.25701i) q^{14} +(-0.242369 - 0.185837i) q^{15} +(1.73684 + 3.60325i) q^{16} +(0.321641 - 0.623897i) q^{17} +(3.25556 - 2.72054i) q^{18} +(-2.71243 + 2.84472i) q^{19} +(0.349575 + 0.0465626i) q^{20} +(0.547866 - 1.64806i) q^{21} +(2.99243 + 1.18000i) q^{22} +(1.92334 - 0.769989i) q^{23} +(-1.69349 + 4.59696i) q^{24} +(-3.25394 + 3.75525i) q^{25} +(-6.42624 - 3.27085i) q^{26} +(5.16698 + 0.549850i) q^{27} +(0.399948 + 1.96512i) q^{28} +(8.45402 + 4.88093i) q^{29} +(0.256641 + 0.347407i) q^{30} +(-0.119922 - 0.622212i) q^{31} +(-0.950087 - 5.57650i) q^{32} +(1.50894 + 3.63919i) q^{33} +(-0.681285 + 0.721978i) q^{34} +(0.164143 + 0.0657130i) q^{35} +(-5.48900 + 2.42299i) q^{36} +(4.73750 + 8.20558i) q^{37} +(4.79950 - 2.80431i) q^{38} +(-2.59178 - 8.44246i) q^{39} +(-0.456841 - 0.200095i) q^{40} +(-5.67873 + 0.270511i) q^{41} +(-1.38956 + 2.02525i) q^{42} +(-2.10676 - 3.27818i) q^{43} +(-3.60482 - 2.77478i) q^{44} +(-0.0873465 + 0.521733i) q^{45} +(-2.91514 + 0.293639i) q^{46} +(5.45594 + 4.29060i) q^{47} +(4.10058 - 5.58437i) q^{48} +(0.285234 - 5.98779i) q^{49} +(5.89177 - 3.82977i) q^{50} +(-1.21568 + 0.0149060i) q^{51} +(7.45297 + 6.96012i) q^{52} +(-2.99370 + 4.65829i) q^{53} +(-6.80661 - 2.76949i) q^{54} +(-0.379014 + 0.131178i) q^{55} +(0.225592 - 2.82709i) q^{56} +(6.55527 + 1.83781i) q^{57} +(-9.57852 - 9.94182i) q^{58} +(-1.30299 - 1.50373i) q^{59} +(-0.212800 - 0.572563i) q^{60} +(5.61122 - 0.535806i) q^{61} +(-0.0805515 + 0.892508i) q^{62} +(-2.96611 + 0.500977i) q^{63} +(-0.891390 + 7.95018i) q^{64} +(0.873730 - 0.211965i) q^{65} +(-0.626306 - 5.53615i) q^{66} +(-0.304851 - 8.17967i) q^{67} +(1.20842 - 0.714510i) q^{68} +(-2.74051 - 2.31645i) q^{69} +(-0.197348 - 0.153545i) q^{70} +(13.4473 - 6.93258i) q^{71} +(8.40774 - 1.14450i) q^{72} +(16.0234 - 1.53005i) q^{73} +(-3.22664 - 13.0054i) q^{74} +(8.38805 + 1.92634i) q^{75} +(-7.61998 + 1.93256i) q^{76} +(-1.40983 - 1.79275i) q^{77} +(0.217948 + 12.4875i) q^{78} +(13.5337 - 4.68407i) q^{79} +(0.542524 + 0.450723i) q^{80} +(-3.35702 - 8.35047i) q^{81} +(7.82315 + 1.85493i) q^{82} +(-3.90482 + 5.48356i) q^{83} +(2.68102 - 2.20842i) q^{84} +(0.00588929 - 0.123631i) q^{85} +(1.58002 + 5.27953i) q^{86} +(0.597389 - 16.8975i) q^{87} +(3.81287 + 5.18172i) q^{88} +(7.93037 - 1.14022i) q^{89} +(0.322898 - 0.674837i) q^{90} +(2.76406 + 4.30096i) q^{91} +(4.07653 + 0.741881i) q^{92} +(-0.854339 + 0.688979i) q^{93} +(-5.73524 - 7.96618i) q^{94} +(-0.226687 + 0.654970i) q^{95} +(-7.75822 + 5.98414i) q^{96} +(0.872259 + 1.51080i) q^{97} +(-2.73114 + 8.02564i) q^{98} +(4.34073 - 5.26496i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.35898 0.391381i −0.960942 0.276748i
\(3\) −0.812487 1.52966i −0.469090 0.883151i
\(4\) 1.69364 + 1.06376i 0.846821 + 0.531879i
\(5\) 0.160397 0.0732507i 0.0717315 0.0327587i −0.379226 0.925304i \(-0.623810\pi\)
0.450958 + 0.892545i \(0.351083\pi\)
\(6\) 0.505471 + 2.39677i 0.206358 + 0.978477i
\(7\) 0.691946 + 0.725692i 0.261531 + 0.274286i 0.841387 0.540433i \(-0.181740\pi\)
−0.579856 + 0.814719i \(0.696891\pi\)
\(8\) −1.88529 2.10848i −0.666549 0.745461i
\(9\) −1.67973 + 2.48566i −0.559910 + 0.828554i
\(10\) −0.246644 + 0.0367698i −0.0779958 + 0.0116276i
\(11\) −2.26424 0.216209i −0.682694 0.0651894i −0.252054 0.967713i \(-0.581106\pi\)
−0.430640 + 0.902524i \(0.641712\pi\)
\(12\) 0.251126 3.45499i 0.0724939 0.997369i
\(13\) 5.00663 + 0.964949i 1.38859 + 0.267629i 0.828122 0.560548i \(-0.189409\pi\)
0.560468 + 0.828176i \(0.310621\pi\)
\(14\) −0.656317 1.25701i −0.175408 0.335951i
\(15\) −0.242369 0.185837i −0.0625794 0.0479830i
\(16\) 1.73684 + 3.60325i 0.434211 + 0.900811i
\(17\) 0.321641 0.623897i 0.0780095 0.151317i −0.846605 0.532222i \(-0.821357\pi\)
0.924614 + 0.380905i \(0.124387\pi\)
\(18\) 3.25556 2.72054i 0.767342 0.641238i
\(19\) −2.71243 + 2.84472i −0.622275 + 0.652623i −0.957134 0.289645i \(-0.906463\pi\)
0.334859 + 0.942268i \(0.391311\pi\)
\(20\) 0.349575 + 0.0465626i 0.0781674 + 0.0104117i
\(21\) 0.547866 1.64806i 0.119554 0.359636i
\(22\) 2.99243 + 1.18000i 0.637989 + 0.251578i
\(23\) 1.92334 0.769989i 0.401044 0.160554i −0.162367 0.986730i \(-0.551913\pi\)
0.563411 + 0.826177i \(0.309489\pi\)
\(24\) −1.69349 + 4.59696i −0.345683 + 0.938351i
\(25\) −3.25394 + 3.75525i −0.650788 + 0.751050i
\(26\) −6.42624 3.27085i −1.26029 0.641466i
\(27\) 5.16698 + 0.549850i 0.994385 + 0.105819i
\(28\) 0.399948 + 1.96512i 0.0755831 + 0.371373i
\(29\) 8.45402 + 4.88093i 1.56987 + 0.906366i 0.996183 + 0.0872929i \(0.0278216\pi\)
0.573689 + 0.819073i \(0.305512\pi\)
\(30\) 0.256641 + 0.347407i 0.0468560 + 0.0634276i
\(31\) −0.119922 0.622212i −0.0215386 0.111753i 0.969568 0.244821i \(-0.0787292\pi\)
−0.991107 + 0.133068i \(0.957517\pi\)
\(32\) −0.950087 5.57650i −0.167953 0.985795i
\(33\) 1.50894 + 3.63919i 0.262673 + 0.633501i
\(34\) −0.681285 + 0.721978i −0.116839 + 0.123818i
\(35\) 0.164143 + 0.0657130i 0.0277453 + 0.0111075i
\(36\) −5.48900 + 2.42299i −0.914833 + 0.403832i
\(37\) 4.73750 + 8.20558i 0.778839 + 1.34899i 0.932611 + 0.360883i \(0.117525\pi\)
−0.153772 + 0.988106i \(0.549142\pi\)
\(38\) 4.79950 2.80431i 0.778582 0.454920i
\(39\) −2.59178 8.44246i −0.415017 1.35188i
\(40\) −0.456841 0.200095i −0.0722329 0.0316378i
\(41\) −5.67873 + 0.270511i −0.886869 + 0.0422468i −0.486071 0.873919i \(-0.661570\pi\)
−0.400799 + 0.916166i \(0.631267\pi\)
\(42\) −1.38956 + 2.02525i −0.214413 + 0.312503i
\(43\) −2.10676 3.27818i −0.321278 0.499918i 0.642622 0.766184i \(-0.277847\pi\)
−0.963900 + 0.266265i \(0.914210\pi\)
\(44\) −3.60482 2.77478i −0.543447 0.418314i
\(45\) −0.0873465 + 0.521733i −0.0130208 + 0.0777753i
\(46\) −2.91514 + 0.293639i −0.429813 + 0.0432947i
\(47\) 5.45594 + 4.29060i 0.795831 + 0.625848i 0.931019 0.364972i \(-0.118921\pi\)
−0.135188 + 0.990820i \(0.543164\pi\)
\(48\) 4.10058 5.58437i 0.591868 0.806035i
\(49\) 0.285234 5.98779i 0.0407477 0.855399i
\(50\) 5.89177 3.82977i 0.833222 0.541611i
\(51\) −1.21568 + 0.0149060i −0.170229 + 0.00208726i
\(52\) 7.45297 + 6.96012i 1.03354 + 0.965195i
\(53\) −2.99370 + 4.65829i −0.411217 + 0.639865i −0.983651 0.180085i \(-0.942363\pi\)
0.572434 + 0.819950i \(0.305999\pi\)
\(54\) −6.80661 2.76949i −0.926262 0.376880i
\(55\) −0.379014 + 0.131178i −0.0511062 + 0.0176880i
\(56\) 0.225592 2.82709i 0.0301460 0.377786i
\(57\) 6.55527 + 1.83781i 0.868267 + 0.243424i
\(58\) −9.57852 9.94182i −1.25772 1.30542i
\(59\) −1.30299 1.50373i −0.169634 0.195768i 0.664567 0.747229i \(-0.268616\pi\)
−0.834201 + 0.551461i \(0.814071\pi\)
\(60\) −0.212800 0.572563i −0.0274724 0.0739176i
\(61\) 5.61122 0.535806i 0.718443 0.0686030i 0.270570 0.962700i \(-0.412788\pi\)
0.447873 + 0.894097i \(0.352182\pi\)
\(62\) −0.0805515 + 0.892508i −0.0102300 + 0.113349i
\(63\) −2.96611 + 0.500977i −0.373694 + 0.0631171i
\(64\) −0.891390 + 7.95018i −0.111424 + 0.993773i
\(65\) 0.873730 0.211965i 0.108373 0.0262910i
\(66\) −0.626306 5.53615i −0.0770929 0.681453i
\(67\) −0.304851 8.17967i −0.0372435 0.999306i
\(68\) 1.20842 0.714510i 0.146542 0.0866470i
\(69\) −2.74051 2.31645i −0.329919 0.278868i
\(70\) −0.197348 0.153545i −0.0235876 0.0183521i
\(71\) 13.4473 6.93258i 1.59590 0.822746i 0.596102 0.802909i \(-0.296716\pi\)
0.999803 0.0198371i \(-0.00631477\pi\)
\(72\) 8.40774 1.14450i 0.990862 0.134881i
\(73\) 16.0234 1.53005i 1.87540 0.179079i 0.905789 0.423728i \(-0.139279\pi\)
0.969612 + 0.244649i \(0.0786727\pi\)
\(74\) −3.22664 13.0054i −0.375089 1.51184i
\(75\) 8.38805 + 1.92634i 0.968568 + 0.222434i
\(76\) −7.61998 + 1.93256i −0.874071 + 0.221680i
\(77\) −1.40983 1.79275i −0.160665 0.204302i
\(78\) 0.217948 + 12.4875i 0.0246777 + 1.41393i
\(79\) 13.5337 4.68407i 1.52266 0.526999i 0.567576 0.823321i \(-0.307881\pi\)
0.955088 + 0.296322i \(0.0957603\pi\)
\(80\) 0.542524 + 0.450723i 0.0606560 + 0.0503924i
\(81\) −3.35702 8.35047i −0.373002 0.927830i
\(82\) 7.82315 + 1.85493i 0.863922 + 0.204843i
\(83\) −3.90482 + 5.48356i −0.428610 + 0.601898i −0.971249 0.238068i \(-0.923486\pi\)
0.542639 + 0.839966i \(0.317425\pi\)
\(84\) 2.68102 2.20842i 0.292523 0.240959i
\(85\) 0.00588929 0.123631i 0.000638783 0.0134097i
\(86\) 1.58002 + 5.27953i 0.170378 + 0.569306i
\(87\) 0.597389 16.8975i 0.0640469 1.81160i
\(88\) 3.81287 + 5.18172i 0.406453 + 0.552374i
\(89\) 7.93037 1.14022i 0.840618 0.120863i 0.291462 0.956582i \(-0.405858\pi\)
0.549156 + 0.835720i \(0.314949\pi\)
\(90\) 0.322898 0.674837i 0.0340365 0.0711341i
\(91\) 2.76406 + 4.30096i 0.289752 + 0.450864i
\(92\) 4.07653 + 0.741881i 0.425008 + 0.0773464i
\(93\) −0.854339 + 0.688979i −0.0885909 + 0.0714438i
\(94\) −5.73524 7.96618i −0.591545 0.821649i
\(95\) −0.226687 + 0.654970i −0.0232576 + 0.0671985i
\(96\) −7.75822 + 5.98414i −0.791820 + 0.610754i
\(97\) 0.872259 + 1.51080i 0.0885645 + 0.153398i 0.906905 0.421336i \(-0.138439\pi\)
−0.818340 + 0.574734i \(0.805105\pi\)
\(98\) −2.73114 + 8.02564i −0.275886 + 0.810712i
\(99\) 4.34073 5.26496i 0.436260 0.529149i
\(100\) −9.50568 + 2.89864i −0.950568 + 0.289864i
\(101\) −13.4224 3.25623i −1.33558 0.324007i −0.496507 0.868033i \(-0.665384\pi\)
−0.839069 + 0.544026i \(0.816899\pi\)
\(102\) 1.65792 + 0.455538i 0.164158 + 0.0451050i
\(103\) 2.80151 + 14.5356i 0.276041 + 1.43224i 0.809853 + 0.586633i \(0.199547\pi\)
−0.533812 + 0.845603i \(0.679241\pi\)
\(104\) −7.40436 12.3756i −0.726057 1.21353i
\(105\) −0.0328455 0.304474i −0.00320540 0.0297137i
\(106\) 5.89154 5.15884i 0.572237 0.501070i
\(107\) −3.38328 + 7.40834i −0.327074 + 0.716192i −0.999717 0.0237750i \(-0.992431\pi\)
0.672644 + 0.739967i \(0.265159\pi\)
\(108\) 8.16610 + 6.42766i 0.785784 + 0.618502i
\(109\) 3.10610 3.58463i 0.297510 0.343345i −0.587238 0.809414i \(-0.699785\pi\)
0.884748 + 0.466069i \(0.154330\pi\)
\(110\) 0.566412 0.0299290i 0.0540053 0.00285362i
\(111\) 8.70261 13.9137i 0.826015 1.32063i
\(112\) −1.41305 + 3.75366i −0.133520 + 0.354688i
\(113\) −0.124982 + 0.0889992i −0.0117573 + 0.00837234i −0.585920 0.810369i \(-0.699267\pi\)
0.574163 + 0.818741i \(0.305328\pi\)
\(114\) −8.18918 5.06315i −0.766987 0.474207i
\(115\) 0.252095 0.264390i 0.0235080 0.0246545i
\(116\) 9.12595 + 17.2596i 0.847323 + 1.60251i
\(117\) −10.8083 + 10.8239i −0.999230 + 1.00067i
\(118\) 1.18220 + 2.55349i 0.108830 + 0.235068i
\(119\) 0.675315 0.198291i 0.0619061 0.0181773i
\(120\) 0.0651003 + 0.861387i 0.00594282 + 0.0786335i
\(121\) −5.72118 1.10267i −0.520107 0.100242i
\(122\) −7.83522 1.46798i −0.709368 0.132904i
\(123\) 5.02769 + 8.46676i 0.453332 + 0.763422i
\(124\) 0.458779 1.18137i 0.0411995 0.106090i
\(125\) −0.495238 + 1.68663i −0.0442954 + 0.150856i
\(126\) 4.22694 + 0.480062i 0.376566 + 0.0427673i
\(127\) −10.7197 11.2425i −0.951219 0.997610i 0.0487801 0.998810i \(-0.484467\pi\)
−0.999999 + 0.00119955i \(0.999618\pi\)
\(128\) 4.32293 10.4552i 0.382097 0.924122i
\(129\) −3.30280 + 5.88611i −0.290795 + 0.518244i
\(130\) −1.27034 0.0539064i −0.111416 0.00472790i
\(131\) −0.825912 + 5.74435i −0.0721603 + 0.501886i 0.921403 + 0.388608i \(0.127044\pi\)
−0.993563 + 0.113278i \(0.963865\pi\)
\(132\) −1.31561 + 7.76863i −0.114509 + 0.676172i
\(133\) −3.94124 −0.341749
\(134\) −2.78709 + 11.2353i −0.240768 + 0.970583i
\(135\) 0.869042 0.290291i 0.0747953 0.0249842i
\(136\) −1.92186 + 0.498050i −0.164798 + 0.0427074i
\(137\) 9.07899 + 1.30536i 0.775670 + 0.111525i 0.518770 0.854914i \(-0.326390\pi\)
0.256900 + 0.966438i \(0.417299\pi\)
\(138\) 2.81768 + 4.22059i 0.239857 + 0.359281i
\(139\) −3.64796 + 1.66597i −0.309416 + 0.141306i −0.564071 0.825726i \(-0.690766\pi\)
0.254655 + 0.967032i \(0.418038\pi\)
\(140\) 0.208097 + 0.285903i 0.0175874 + 0.0241632i
\(141\) 2.13028 11.8318i 0.179402 0.996417i
\(142\) −20.9879 + 4.15819i −1.76127 + 0.348948i
\(143\) −11.1276 3.26735i −0.930536 0.273230i
\(144\) −11.8739 1.73528i −0.989489 0.144606i
\(145\) 1.71353 + 0.163622i 0.142301 + 0.0135881i
\(146\) −22.3743 4.19197i −1.85171 0.346930i
\(147\) −9.39105 + 4.42869i −0.774560 + 0.365272i
\(148\) −0.705128 + 18.9369i −0.0579612 + 1.55660i
\(149\) 1.77600 + 6.04850i 0.145496 + 0.495512i 0.999702 0.0244220i \(-0.00777454\pi\)
−0.854206 + 0.519934i \(0.825956\pi\)
\(150\) −10.6452 5.90078i −0.869180 0.481796i
\(151\) 0.429257 0.832643i 0.0349325 0.0677595i −0.870723 0.491773i \(-0.836349\pi\)
0.905656 + 0.424014i \(0.139379\pi\)
\(152\) 11.1117 + 0.356008i 0.901282 + 0.0288760i
\(153\) 1.01053 + 1.84747i 0.0816962 + 0.149359i
\(154\) 1.21428 + 2.98808i 0.0978496 + 0.240787i
\(155\) −0.0648125 0.0910164i −0.00520586 0.00731061i
\(156\) 4.59118 17.0555i 0.367589 1.36553i
\(157\) 7.96009 3.18674i 0.635284 0.254329i −0.0315887 0.999501i \(-0.510057\pi\)
0.666873 + 0.745172i \(0.267632\pi\)
\(158\) −20.2253 + 1.06870i −1.60904 + 0.0850210i
\(159\) 9.55795 + 0.794549i 0.757995 + 0.0630118i
\(160\) −0.560873 0.824857i −0.0443409 0.0652107i
\(161\) 1.88962 + 0.862962i 0.148923 + 0.0680109i
\(162\) 1.29390 + 12.6620i 0.101658 + 0.994819i
\(163\) 2.23085 + 1.28798i 0.174734 + 0.100883i 0.584816 0.811166i \(-0.301167\pi\)
−0.410082 + 0.912049i \(0.634500\pi\)
\(164\) −9.90550 5.58264i −0.773489 0.435931i
\(165\) 0.508602 + 0.473182i 0.0395946 + 0.0368372i
\(166\) 7.45273 5.92376i 0.578444 0.459773i
\(167\) −3.44120 + 14.1848i −0.266288 + 1.09765i 0.668858 + 0.743390i \(0.266783\pi\)
−0.935146 + 0.354263i \(0.884732\pi\)
\(168\) −4.50778 + 1.95190i −0.347783 + 0.150592i
\(169\) 12.0665 + 4.83068i 0.928189 + 0.371591i
\(170\) −0.0563904 + 0.165707i −0.00432495 + 0.0127092i
\(171\) −2.51485 11.5205i −0.192315 0.880998i
\(172\) −0.0809062 7.79315i −0.00616904 0.594222i
\(173\) −4.94576 1.71175i −0.376019 0.130142i 0.132520 0.991180i \(-0.457693\pi\)
−0.508539 + 0.861039i \(0.669814\pi\)
\(174\) −7.42520 + 22.7295i −0.562903 + 1.72312i
\(175\) −4.97671 + 0.237070i −0.376204 + 0.0179208i
\(176\) −3.15357 8.53413i −0.237710 0.643285i
\(177\) −1.24153 + 3.21488i −0.0933193 + 0.241645i
\(178\) −11.2235 1.55427i −0.841234 0.116498i
\(179\) 2.75234 + 19.1430i 0.205720 + 1.43081i 0.786921 + 0.617053i \(0.211674\pi\)
−0.581202 + 0.813760i \(0.697417\pi\)
\(180\) −0.702931 + 0.790713i −0.0523933 + 0.0589362i
\(181\) −13.8132 10.8628i −1.02672 0.807424i −0.0452411 0.998976i \(-0.514406\pi\)
−0.981483 + 0.191552i \(0.938648\pi\)
\(182\) −2.07298 6.92672i −0.153660 0.513442i
\(183\) −5.37864 8.14793i −0.397601 0.602312i
\(184\) −5.24956 2.60368i −0.387002 0.191946i
\(185\) 1.36094 + 0.969123i 0.100058 + 0.0712513i
\(186\) 1.43068 0.601935i 0.104903 0.0441360i
\(187\) −0.863165 + 1.34311i −0.0631209 + 0.0982180i
\(188\) 4.67625 + 13.0705i 0.341051 + 0.953266i
\(189\) 3.17625 + 4.13010i 0.231038 + 0.300421i
\(190\) 0.564406 0.801369i 0.0409463 0.0581374i
\(191\) −10.5771 + 8.31794i −0.765333 + 0.601865i −0.922630 0.385687i \(-0.873965\pi\)
0.157296 + 0.987551i \(0.449722\pi\)
\(192\) 12.8853 5.09590i 0.929919 0.367765i
\(193\) −2.30601 2.66128i −0.165990 0.191563i 0.666660 0.745362i \(-0.267723\pi\)
−0.832651 + 0.553799i \(0.813178\pi\)
\(194\) −0.594083 2.39453i −0.0426527 0.171917i
\(195\) −1.03413 1.16429i −0.0740555 0.0833767i
\(196\) 6.85264 9.83775i 0.489474 0.702697i
\(197\) 11.0594 + 21.4523i 0.787951 + 1.52841i 0.847868 + 0.530208i \(0.177886\pi\)
−0.0599172 + 0.998203i \(0.519084\pi\)
\(198\) −7.95957 + 5.45608i −0.565662 + 0.387747i
\(199\) −10.7457 + 2.60688i −0.761742 + 0.184797i −0.597769 0.801668i \(-0.703946\pi\)
−0.163973 + 0.986465i \(0.552431\pi\)
\(200\) 14.0525 0.218843i 0.993661 0.0154745i
\(201\) −12.2644 + 7.11220i −0.865067 + 0.501656i
\(202\) 16.9663 + 9.67841i 1.19374 + 0.680971i
\(203\) 2.30767 + 9.51235i 0.161967 + 0.667636i
\(204\) −2.07478 1.26794i −0.145264 0.0887738i
\(205\) −0.891034 + 0.459360i −0.0622325 + 0.0320831i
\(206\) 1.88178 20.8500i 0.131110 1.45269i
\(207\) −1.31676 + 6.07415i −0.0915211 + 0.422182i
\(208\) 5.21878 + 19.7161i 0.361857 + 1.36706i
\(209\) 6.75665 5.85467i 0.467367 0.404976i
\(210\) −0.0745292 + 0.426629i −0.00514301 + 0.0294402i
\(211\) 0.141609 + 0.180071i 0.00974878 + 0.0123966i 0.790903 0.611941i \(-0.209611\pi\)
−0.781154 + 0.624338i \(0.785369\pi\)
\(212\) −10.0255 + 4.70490i −0.688557 + 0.323134i
\(213\) −21.5303 14.9372i −1.47523 1.02348i
\(214\) 7.49729 8.74362i 0.512504 0.597702i
\(215\) −0.578046 0.371488i −0.0394224 0.0253353i
\(216\) −8.58189 11.9311i −0.583923 0.811809i
\(217\) 0.368555 0.517563i 0.0250192 0.0351345i
\(218\) −5.62407 + 3.65576i −0.380910 + 0.247599i
\(219\) −15.3593 23.2673i −1.03789 1.57226i
\(220\) −0.781455 0.181010i −0.0526857 0.0122037i
\(221\) 2.21237 2.81326i 0.148820 0.189240i
\(222\) −17.2722 + 15.5024i −1.15924 + 1.04045i
\(223\) −10.9108 + 1.56873i −0.730639 + 0.105050i −0.497587 0.867414i \(-0.665780\pi\)
−0.233052 + 0.972464i \(0.574871\pi\)
\(224\) 3.38941 4.54810i 0.226465 0.303883i
\(225\) −3.86854 14.3960i −0.257902 0.959733i
\(226\) 0.204680 0.0720324i 0.0136151 0.00479152i
\(227\) 1.18414 + 24.8581i 0.0785939 + 1.64989i 0.602504 + 0.798116i \(0.294170\pi\)
−0.523910 + 0.851774i \(0.675527\pi\)
\(228\) 9.14730 + 10.0858i 0.605795 + 0.667949i
\(229\) 2.41055 6.96483i 0.159294 0.460249i −0.836906 0.547347i \(-0.815638\pi\)
0.996200 + 0.0870975i \(0.0277592\pi\)
\(230\) −0.446069 + 0.260634i −0.0294129 + 0.0171857i
\(231\) −1.59682 + 3.61315i −0.105063 + 0.237728i
\(232\) −5.64689 27.0271i −0.370737 1.77442i
\(233\) 4.68679 11.7070i 0.307042 0.766954i −0.691945 0.721950i \(-0.743246\pi\)
0.998987 0.0450034i \(-0.0143299\pi\)
\(234\) 18.9246 10.4793i 1.23714 0.685054i
\(235\) 1.18940 + 0.288546i 0.0775881 + 0.0188227i
\(236\) −0.607192 3.93283i −0.0395248 0.256006i
\(237\) −18.1610 16.8963i −1.17969 1.09753i
\(238\) −0.995346 + 0.00516655i −0.0645187 + 0.000334898i
\(239\) 3.28973 5.69798i 0.212795 0.368572i −0.739793 0.672834i \(-0.765077\pi\)
0.952588 + 0.304263i \(0.0984100\pi\)
\(240\) 0.248661 1.19608i 0.0160510 0.0772069i
\(241\) −6.84114 + 14.9800i −0.440677 + 0.964948i 0.550797 + 0.834639i \(0.314324\pi\)
−0.991474 + 0.130308i \(0.958403\pi\)
\(242\) 7.34339 + 3.73766i 0.472051 + 0.240266i
\(243\) −10.0459 + 11.9198i −0.644442 + 0.764653i
\(244\) 10.0734 + 5.06151i 0.644881 + 0.324030i
\(245\) −0.392859 0.981315i −0.0250989 0.0626939i
\(246\) −3.51879 13.4739i −0.224350 0.859063i
\(247\) −16.3252 + 11.6251i −1.03874 + 0.739687i
\(248\) −1.08584 + 1.42590i −0.0689507 + 0.0905448i
\(249\) 11.5606 + 1.51774i 0.732623 + 0.0961827i
\(250\) 1.33313 2.09826i 0.0843146 0.132706i
\(251\) −19.7290 10.1710i −1.24528 0.641987i −0.295632 0.955302i \(-0.595530\pi\)
−0.949649 + 0.313315i \(0.898560\pi\)
\(252\) −5.55644 2.30674i −0.350023 0.145311i
\(253\) −4.52138 + 1.32760i −0.284257 + 0.0834654i
\(254\) 10.1677 + 19.4738i 0.637980 + 1.22189i
\(255\) −0.193899 + 0.0914403i −0.0121424 + 0.00572621i
\(256\) −9.96676 + 12.5165i −0.622922 + 0.782284i
\(257\) 1.96644 20.5935i 0.122663 1.28459i −0.699211 0.714916i \(-0.746465\pi\)
0.821874 0.569670i \(-0.192929\pi\)
\(258\) 6.79214 6.70645i 0.422860 0.417525i
\(259\) −2.67663 + 9.11578i −0.166318 + 0.566427i
\(260\) 1.70526 + 0.570444i 0.105756 + 0.0353774i
\(261\) −26.3328 + 12.8152i −1.62996 + 0.793240i
\(262\) 3.37063 7.48319i 0.208238 0.462313i
\(263\) −0.141204 0.309195i −0.00870704 0.0190658i 0.905229 0.424925i \(-0.139700\pi\)
−0.913936 + 0.405859i \(0.866972\pi\)
\(264\) 4.82838 10.0425i 0.297166 0.618072i
\(265\) −0.138957 + 0.966465i −0.00853604 + 0.0593694i
\(266\) 5.35606 + 1.54253i 0.328401 + 0.0945785i
\(267\) −8.18747 11.2044i −0.501065 0.685697i
\(268\) 8.18488 14.1777i 0.499971 0.866042i
\(269\) 8.41841i 0.513279i 0.966507 + 0.256640i \(0.0826154\pi\)
−0.966507 + 0.256640i \(0.917385\pi\)
\(270\) −1.29462 + 0.0543715i −0.0787883 + 0.00330894i
\(271\) 11.8695 + 1.70658i 0.721021 + 0.103667i 0.493050 0.870001i \(-0.335882\pi\)
0.227971 + 0.973668i \(0.426791\pi\)
\(272\) 2.80670 + 0.0753420i 0.170181 + 0.00456828i
\(273\) 4.33325 7.72256i 0.262261 0.467390i
\(274\) −11.8272 5.32730i −0.714510 0.321834i
\(275\) 8.17962 7.79926i 0.493250 0.470313i
\(276\) −2.17730 6.83848i −0.131058 0.411628i
\(277\) −12.1676 3.57274i −0.731082 0.214665i −0.105055 0.994466i \(-0.533502\pi\)
−0.626027 + 0.779801i \(0.715320\pi\)
\(278\) 5.60953 0.836271i 0.336437 0.0501562i
\(279\) 1.74804 + 0.747064i 0.104653 + 0.0447255i
\(280\) −0.170902 0.469981i −0.0102134 0.0280867i
\(281\) 3.52655 18.2975i 0.210376 1.09154i −0.711097 0.703094i \(-0.751801\pi\)
0.921473 0.388441i \(-0.126986\pi\)
\(282\) −7.52575 + 15.2454i −0.448152 + 0.907850i
\(283\) 1.63824 + 5.57935i 0.0973835 + 0.331658i 0.993746 0.111664i \(-0.0356181\pi\)
−0.896362 + 0.443322i \(0.853800\pi\)
\(284\) 30.1495 + 2.56339i 1.78905 + 0.152109i
\(285\) 1.18606 0.185400i 0.0702563 0.0109821i
\(286\) 13.8434 + 8.79539i 0.818575 + 0.520082i
\(287\) −4.12568 3.93383i −0.243531 0.232207i
\(288\) 15.4572 + 7.00541i 0.910823 + 0.412798i
\(289\) 9.57517 + 13.4464i 0.563245 + 0.790968i
\(290\) −2.26461 0.893001i −0.132982 0.0524388i
\(291\) 1.60231 2.56176i 0.0939290 0.150173i
\(292\) 28.7656 + 14.4537i 1.68338 + 0.845838i
\(293\) 5.35983 + 4.64432i 0.313125 + 0.271324i 0.797217 0.603693i \(-0.206305\pi\)
−0.484092 + 0.875017i \(0.660850\pi\)
\(294\) 14.4955 2.34302i 0.845396 0.136648i
\(295\) −0.319143 0.145748i −0.0185812 0.00848577i
\(296\) 8.36979 25.4588i 0.486484 1.47976i
\(297\) −11.5804 2.36214i −0.671963 0.137065i
\(298\) −0.0462745 8.91487i −0.00268061 0.516425i
\(299\) 10.3725 1.99913i 0.599855 0.115613i
\(300\) 12.1572 + 12.1854i 0.701896 + 0.703523i
\(301\) 0.921187 3.79719i 0.0530963 0.218866i
\(302\) −0.909232 + 0.963540i −0.0523204 + 0.0554455i
\(303\) 5.92457 + 23.1773i 0.340358 + 1.33150i
\(304\) −14.9613 4.83274i −0.858088 0.277176i
\(305\) 0.860772 0.496967i 0.0492877 0.0284562i
\(306\) −0.650218 2.90617i −0.0371705 0.166135i
\(307\) 16.7430 + 5.79482i 0.955575 + 0.330728i 0.759972 0.649955i \(-0.225212\pi\)
0.195603 + 0.980683i \(0.437334\pi\)
\(308\) −0.480702 4.53598i −0.0273905 0.258462i
\(309\) 19.9584 16.0954i 1.13539 0.915633i
\(310\) 0.0524566 + 0.149056i 0.00297933 + 0.00846579i
\(311\) 4.44214 2.85479i 0.251891 0.161880i −0.408602 0.912713i \(-0.633984\pi\)
0.660493 + 0.750832i \(0.270347\pi\)
\(312\) −12.9145 + 21.3812i −0.731141 + 1.21047i
\(313\) 1.00298 + 6.97590i 0.0566919 + 0.394301i 0.998335 + 0.0576872i \(0.0183726\pi\)
−0.941643 + 0.336614i \(0.890718\pi\)
\(314\) −12.0648 + 1.21528i −0.680857 + 0.0685820i
\(315\) −0.439056 + 0.297624i −0.0247380 + 0.0167692i
\(316\) 27.9040 + 6.46347i 1.56972 + 0.363598i
\(317\) −3.04171 0.144895i −0.170840 0.00813810i −0.0380122 0.999277i \(-0.512103\pi\)
−0.132827 + 0.991139i \(0.542406\pi\)
\(318\) −12.6781 4.82058i −0.710951 0.270325i
\(319\) −18.0866 12.8794i −1.01266 0.721110i
\(320\) 0.439380 + 1.34048i 0.0245621 + 0.0749350i
\(321\) 14.0811 0.843915i 0.785932 0.0471027i
\(322\) −2.23021 1.91231i −0.124285 0.106569i
\(323\) 0.902381 + 2.60726i 0.0502098 + 0.145072i
\(324\) 3.19729 17.7138i 0.177627 0.984098i
\(325\) −19.9149 + 15.6613i −1.10468 + 0.868731i
\(326\) −2.52759 2.62346i −0.139990 0.145300i
\(327\) −8.00693 1.83881i −0.442784 0.101687i
\(328\) 11.2764 + 11.4635i 0.622636 + 0.632967i
\(329\) 0.661562 + 6.92819i 0.0364731 + 0.381964i
\(330\) −0.505984 0.842102i −0.0278535 0.0463562i
\(331\) 11.0951 + 21.5214i 0.609840 + 1.18293i 0.968396 + 0.249417i \(0.0802390\pi\)
−0.358556 + 0.933508i \(0.616731\pi\)
\(332\) −12.4465 + 5.13339i −0.683093 + 0.281732i
\(333\) −28.3540 2.00735i −1.55379 0.110002i
\(334\) 10.2282 17.9300i 0.559661 0.981087i
\(335\) −0.648064 1.28966i −0.0354075 0.0704617i
\(336\) 6.88991 0.888321i 0.375876 0.0484619i
\(337\) −0.594747 2.45158i −0.0323979 0.133546i 0.953316 0.301975i \(-0.0976458\pi\)
−0.985714 + 0.168429i \(0.946131\pi\)
\(338\) −14.5074 11.2874i −0.789099 0.613952i
\(339\) 0.237685 + 0.118869i 0.0129093 + 0.00645609i
\(340\) 0.141488 0.203122i 0.00767327 0.0110159i
\(341\) 0.137004 + 1.43477i 0.00741916 + 0.0776969i
\(342\) −1.09130 + 16.6404i −0.0590107 + 0.899811i
\(343\) 9.84722 8.53266i 0.531700 0.460720i
\(344\) −2.94014 + 10.6224i −0.158522 + 0.572721i
\(345\) −0.609251 0.170807i −0.0328009 0.00919593i
\(346\) 6.05124 + 4.26190i 0.325317 + 0.229121i
\(347\) 0.377733 + 1.09139i 0.0202778 + 0.0585887i 0.954686 0.297616i \(-0.0961916\pi\)
−0.934408 + 0.356205i \(0.884070\pi\)
\(348\) 18.9866 27.9828i 1.01779 1.50004i
\(349\) −14.5044 9.32141i −0.776402 0.498964i 0.0914355 0.995811i \(-0.470854\pi\)
−0.867838 + 0.496847i \(0.834491\pi\)
\(350\) 6.85602 + 1.62562i 0.366470 + 0.0868929i
\(351\) 25.3386 + 7.73877i 1.35247 + 0.413065i
\(352\) 0.945537 + 12.8319i 0.0503973 + 0.683945i
\(353\) −2.49592 0.118895i −0.132844 0.00632815i −0.0189455 0.999821i \(-0.506031\pi\)
−0.113899 + 0.993492i \(0.536334\pi\)
\(354\) 2.94546 3.88304i 0.156549 0.206381i
\(355\) 1.64909 2.09699i 0.0875246 0.111297i
\(356\) 14.6441 + 6.50487i 0.776137 + 0.344758i
\(357\) −0.852003 0.871896i −0.0450928 0.0461456i
\(358\) 3.75183 27.0921i 0.198290 1.43186i
\(359\) 12.8654 8.26812i 0.679012 0.436375i −0.155152 0.987891i \(-0.549587\pi\)
0.834164 + 0.551516i \(0.185950\pi\)
\(360\) 1.26474 0.799447i 0.0666575 0.0421346i
\(361\) 0.168930 + 3.54627i 0.00889104 + 0.186646i
\(362\) 14.5203 + 20.1685i 0.763169 + 1.06003i
\(363\) 2.96168 + 9.64737i 0.155448 + 0.506356i
\(364\) 0.106149 + 10.2246i 0.00556370 + 0.535914i
\(365\) 2.45803 1.41914i 0.128659 0.0742813i
\(366\) 4.12051 + 13.1780i 0.215383 + 0.688823i
\(367\) 11.3216 28.2801i 0.590985 1.47621i −0.267596 0.963531i \(-0.586229\pi\)
0.858581 0.512678i \(-0.171347\pi\)
\(368\) 6.11500 + 5.59292i 0.318766 + 0.291551i
\(369\) 8.86634 14.5698i 0.461563 0.758473i
\(370\) −1.47019 1.84966i −0.0764317 0.0961594i
\(371\) −5.45196 + 1.05078i −0.283052 + 0.0545538i
\(372\) −2.17985 + 0.258074i −0.113020 + 0.0133805i
\(373\) 0.272493 0.471971i 0.0141091 0.0244377i −0.858885 0.512169i \(-0.828842\pi\)
0.872994 + 0.487731i \(0.162175\pi\)
\(374\) 1.69869 1.48743i 0.0878372 0.0769133i
\(375\) 2.98234 0.612815i 0.154007 0.0316456i
\(376\) −1.23936 19.5928i −0.0639151 1.01042i
\(377\) 37.6163 + 32.5947i 1.93734 + 1.67871i
\(378\) −2.70001 6.85584i −0.138873 0.352626i
\(379\) −5.49241 13.7194i −0.282126 0.704718i −0.999964 0.00850682i \(-0.997292\pi\)
0.717837 0.696211i \(1.75487\pi\)
\(380\) −1.08066 + 0.868144i −0.0554365 + 0.0445349i
\(381\) −8.48760 + 25.5319i −0.434833 + 1.30804i
\(382\) 17.6296 7.16421i 0.902006 0.366553i
\(383\) 10.5181 + 10.0290i 0.537449 + 0.512456i 0.909471 0.415768i \(-0.136487\pi\)
−0.372022 + 0.928224i \(0.621335\pi\)
\(384\) −19.5053 + 1.88213i −0.995377 + 0.0960471i
\(385\) −0.357452 0.184279i −0.0182174 0.00939174i
\(386\) 2.09224 + 4.51914i 0.106492 + 0.230018i
\(387\) 11.6872 + 0.269768i 0.594096 + 0.0137131i
\(388\) −0.129827 + 3.48662i −0.00659096 + 0.177006i
\(389\) 3.06746 15.9155i 0.155526 0.806947i −0.817442 0.576010i \(-0.804609\pi\)
0.972969 0.230937i \(-0.0741791\pi\)
\(390\) 0.949675 + 1.98699i 0.0480887 + 0.100615i
\(391\) 0.138232 1.44763i 0.00699067 0.0732097i
\(392\) −13.1629 + 10.6873i −0.664827 + 0.539790i
\(393\) 9.45795 3.40384i 0.477090 0.171701i
\(394\) −6.63348 33.4816i −0.334190 1.68678i
\(395\) 1.82765 1.74266i 0.0919592 0.0876829i
\(396\) 12.9523 4.29947i 0.650877 0.216057i
\(397\) 4.01891 + 8.80019i 0.201703 + 0.441669i 0.983270 0.182153i \(-0.0583065\pi\)
−0.781567 + 0.623822i \(0.785579\pi\)
\(398\) 15.6235 + 0.662976i 0.783133 + 0.0332320i
\(399\) 3.20221 + 6.02877i 0.160311 + 0.301816i
\(400\) −19.1827 5.20248i −0.959134 0.260124i
\(401\) 18.8043i 0.939043i −0.882921 0.469522i \(-0.844426\pi\)
0.882921 0.469522i \(-0.155574\pi\)
\(402\) 19.4507 4.86525i 0.970112 0.242656i
\(403\) 3.23091i 0.160943i
\(404\) −19.2688 19.7930i −0.958661 0.984740i
\(405\) −1.15013 1.09348i −0.0571505 0.0543356i
\(406\) 0.586882 13.8303i 0.0291265 0.686384i
\(407\) −8.95271 19.6037i −0.443769 0.971719i
\(408\) 2.32334 + 2.53514i 0.115022 + 0.125508i
\(409\) −10.1278 + 9.65686i −0.500788 + 0.477501i −0.897856 0.440288i \(-0.854876\pi\)
0.397068 + 0.917789i \(0.370028\pi\)
\(410\) 1.39068 0.275526i 0.0686808 0.0136073i
\(411\) −5.37980 14.9484i −0.265366 0.737349i
\(412\) −10.7176 + 27.5982i −0.528018 + 1.35967i
\(413\) 0.189646 1.98606i 0.00933187 0.0977277i
\(414\) 4.16675 7.73927i 0.204785 0.380365i
\(415\) −0.224646 + 1.16557i −0.0110274 + 0.0572158i
\(416\) 0.624303 28.8363i 0.0306090 1.41381i
\(417\) 5.51229 + 4.22657i 0.269938 + 0.206976i
\(418\) −11.4735 + 5.31194i −0.561190 + 0.259816i
\(419\) −30.4273 15.6864i −1.48647 0.766329i −0.491926 0.870637i \(-0.663707\pi\)
−0.994545 + 0.104308i \(0.966737\pi\)
\(420\) 0.268258 0.550610i 0.0130897 0.0268670i
\(421\) −28.4327 27.1105i −1.38573 1.32129i −0.892260 0.451521i \(-0.850881\pi\)
−0.493465 0.869765i \(-0.664270\pi\)
\(422\) −0.121967 0.300135i −0.00593728 0.0146104i
\(423\) −19.8295 + 6.35457i −0.964142 + 0.308970i
\(424\) 15.4659 2.47005i 0.751091 0.119956i
\(425\) 1.29629 + 3.23797i 0.0628792 + 0.157065i
\(426\) 23.4130 + 28.7259i 1.13437 + 1.39178i
\(427\) 4.27149 + 3.70127i 0.206712 + 0.179117i
\(428\) −13.6107 + 8.94809i −0.657900 + 0.432522i
\(429\) 4.04308 + 19.6761i 0.195202 + 0.949972i
\(430\) 0.640159 + 0.731080i 0.0308712 + 0.0352558i
\(431\) −7.54229 + 13.0636i −0.363299 + 0.629253i −0.988502 0.151210i \(-0.951683\pi\)
0.625202 + 0.780463i \(0.285016\pi\)
\(432\) 6.99298 + 19.5729i 0.336450 + 0.941701i
\(433\) −25.6112 + 4.93616i −1.23080 + 0.237217i −0.762871 0.646551i \(-0.776211\pi\)
−0.467927 + 0.883767i \(0.654999\pi\)
\(434\) −0.703423 + 0.559111i −0.0337654 + 0.0268382i
\(435\) −1.14193 2.75406i −0.0547515 0.132047i
\(436\) 9.07378 2.76694i 0.434555 0.132512i
\(437\) −3.02653 + 7.55990i −0.144779 + 0.361639i
\(438\) 11.7666 + 37.6311i 0.562228 + 1.79808i
\(439\) 15.7093 9.06977i 0.749764 0.432876i −0.0758447 0.997120i \(-0.524165\pi\)
0.825609 + 0.564243i \(0.190832\pi\)
\(440\) 0.991136 + 0.551836i 0.0472505 + 0.0263077i
\(441\) 14.4045 + 10.7669i 0.685929 + 0.512708i
\(442\) −4.10762 + 2.95727i −0.195379 + 0.140663i
\(443\) 0.734514 + 15.4194i 0.0348978 + 0.732596i 0.946729 + 0.322031i \(0.104365\pi\)
−0.911831 + 0.410565i \(0.865332\pi\)
\(444\) 29.5399 14.3073i 1.40190 0.678997i
\(445\) 1.18848 0.763791i 0.0563395 0.0362072i
\(446\) 15.4415 + 2.13840i 0.731174 + 0.101256i
\(447\) 7.80918 7.63101i 0.369362 0.360934i
\(448\) −6.38618 + 4.85422i −0.301719 + 0.229340i
\(449\) −8.67903 + 11.0363i −0.409589 + 0.520835i −0.946456 0.322832i \(-0.895365\pi\)
0.536867 + 0.843667i \(0.319608\pi\)
\(450\) −0.377072 + 21.0779i −0.0177753 + 0.993622i
\(451\) 12.9165 + 0.615289i 0.608215 + 0.0289728i
\(452\) −0.306348 + 0.0177824i −0.0144094 + 0.000836412i
\(453\) −1.62243 + 0.0198934i −0.0762283 + 0.000934671i
\(454\) 8.11978 34.2451i 0.381080 1.60720i
\(455\) 0.758394 + 0.487391i 0.0355541 + 0.0228492i
\(456\) −8.48358 17.2865i −0.397280 0.809513i
\(457\) −13.5873 39.2579i −0.635587 1.83641i −0.541238 0.840870i \(-0.682044\pi\)
−0.0943497 0.995539i \(-0.530077\pi\)
\(458\) −6.00179 + 8.52161i −0.280445 + 0.398189i
\(459\) 2.00496 3.04681i 0.0935837 0.142213i
\(460\) 0.708205 0.179613i 0.0330202 0.00837452i
\(461\) 1.30873 1.13402i 0.0609538 0.0528168i −0.623851 0.781543i \(-0.714433\pi\)
0.684805 + 0.728726i \(0.259887\pi\)
\(462\) 3.58417 4.28522i 0.166751 0.199366i
\(463\) 2.76673 + 28.9745i 0.128581 + 1.34656i 0.797543 + 0.603263i \(0.206133\pi\)
−0.668962 + 0.743297i \(0.733261\pi\)
\(464\) −2.90390 + 38.9393i −0.134810 + 1.80771i
\(465\) −0.0865650 + 0.173091i −0.00401435 + 0.00802689i
\(466\) −10.9512 + 14.0753i −0.507303 + 0.652025i
\(467\) 1.19749 + 4.93611i 0.0554131 + 0.228416i 0.992784 0.119917i \(-0.0382629\pi\)
−0.937371 + 0.348333i \(0.886748\pi\)
\(468\) −29.8195 + 6.83444i −1.37840 + 0.315922i
\(469\) 5.72498 5.88112i 0.264355 0.271565i
\(470\) −1.50344 0.857638i −0.0693486 0.0395599i
\(471\) −11.3421 9.58705i −0.522616 0.441748i
\(472\) −0.714077 + 5.58227i −0.0328680 + 0.256945i
\(473\) 4.06144 + 7.87810i 0.186745 + 0.362235i
\(474\) 18.0675 + 30.0696i 0.829870 + 1.38114i
\(475\) −1.85652 19.4424i −0.0851832 0.892079i
\(476\) 1.35468 + 0.382539i 0.0620914 + 0.0175336i
\(477\) −6.55032 15.2660i −0.299919 0.698982i
\(478\) −6.70075 + 6.45589i −0.306485 + 0.295285i
\(479\) 8.42156 6.62279i 0.384791 0.302603i −0.406961 0.913445i \(-0.633412\pi\)
0.791752 + 0.610842i \(0.209169\pi\)
\(480\) −0.806050 + 1.52813i −0.0367910 + 0.0697493i
\(481\) 15.8009 + 45.6538i 0.720460 + 2.08163i
\(482\) 15.1599 17.6800i 0.690513 0.805303i
\(483\) −0.215255 3.59163i −0.00979443 0.163425i
\(484\) −8.51665 7.95346i −0.387121 0.361521i
\(485\) 0.250574 + 0.178433i 0.0113780 + 0.00810223i
\(486\) 18.3173 12.2669i 0.830889 0.556439i
\(487\) 18.8244 + 0.896716i 0.853015 + 0.0406341i 0.469534 0.882915i \(-0.344422\pi\)
0.383481 + 0.923549i \(0.374725\pi\)
\(488\) −11.7085 10.8210i −0.530018 0.489844i
\(489\) 0.157640 4.45892i 0.00712871 0.201640i
\(490\) 0.149819 + 1.48734i 0.00676812 + 0.0671913i
\(491\) −5.65312 39.3183i −0.255122 1.77441i −0.566439 0.824103i \(-0.691679\pi\)
0.311318 0.950306i \(1.60077\pi\)
\(492\) −0.491466 + 19.6879i −0.0221570 + 0.887599i
\(493\) 5.76436 3.70453i 0.259614 0.166844i
\(494\) 26.7354 9.40888i 1.20288 0.423326i
\(495\) 0.310577 1.16244i 0.0139594 0.0522479i
\(496\) 2.03370 1.51279i 0.0913158 0.0679263i
\(497\) 14.3357 + 4.96165i 0.643046 + 0.222560i
\(498\) −15.1166 6.58718i −0.677391 0.295178i
\(499\) 9.08086 5.24284i 0.406515 0.234702i −0.282776 0.959186i \(-0.591255\pi\)
0.689291 + 0.724484i \(0.257922\pi\)
\(500\) −2.63292 + 2.32973i −0.117748 + 0.104189i
\(501\) 24.4939 6.26111i 1.09431 0.279726i
\(502\) 22.8305 + 21.5437i 1.01897 + 0.961542i
\(503\) −5.77205 + 23.7927i −0.257363 + 1.06086i 0.685603 + 0.727975i \(0.259538\pi\)
−0.942966 + 0.332889i \(0.891977\pi\)
\(504\) 6.64826 + 5.30949i 0.296137 + 0.236504i
\(505\) −2.39142 + 0.460909i −0.106417 + 0.0205102i
\(506\) 6.66406 0.0345912i 0.296253 0.00153777i
\(507\) −2.41453 22.3825i −0.107233 0.994040i
\(508\) −6.19604 30.4439i −0.274905 1.35073i
\(509\) −31.9375 14.5854i −1.41560 0.646485i −0.446873 0.894597i \(-0.647462\pi\)
−0.968731 + 0.248113i \(0.920190\pi\)
\(510\) 0.299293 0.0483768i 0.0132529 0.00214216i
\(511\) 12.1977 + 10.5694i 0.539594 + 0.467561i
\(512\) 18.4433 13.1089i 0.815088 0.579337i
\(513\) −15.5792 + 13.2072i −0.687841 + 0.583110i
\(514\) −10.7322 + 27.2164i −0.473379 + 1.20047i
\(515\) 1.51409 + 2.12625i 0.0667190 + 0.0936937i
\(516\) −11.8551 + 6.45559i −0.521894 + 0.284192i
\(517\) −11.4259 10.8946i −0.502510 0.479143i
\(518\) 7.20523 11.3406i 0.316580 0.498276i
\(519\) 1.39998 + 8.95612i 0.0614522 + 0.393130i
\(520\) −2.09415 1.44263i −0.0918347 0.0632635i
\(521\) −11.7776 40.1109i −0.515987 1.75729i −0.643493 0.765452i \(-0.722516\pi\)
0.127506 0.991838i \(-0.459303\pi\)
\(522\) 40.8013 7.10938i 1.78582 0.311169i
\(523\) −8.29244 + 43.0253i −0.362603 + 1.88136i 0.100304 + 0.994957i \(0.468018\pi\)
−0.462907 + 0.886407i \(0.653194\pi\)
\(524\) −7.50939 + 8.85029i −0.328049 + 0.386627i
\(525\) 4.40615 + 7.42006i 0.192300 + 0.323838i
\(526\) 0.0708807 + 0.475453i 0.00309055 + 0.0207308i
\(527\) −0.426768 0.125310i −0.0185903 0.00545861i
\(528\) −10.4921 + 11.7578i −0.456610 + 0.511692i
\(529\) −13.5395 + 12.9099i −0.588675 + 0.561301i
\(530\) 0.567095 1.25902i 0.0246330 0.0546883i
\(531\) 5.92641 0.712929i 0.257184 0.0309385i
\(532\) −6.67505 4.19253i −0.289400 0.181769i
\(533\) −28.6924 4.12534i −1.24280 0.178688i
\(534\) 6.74141 + 18.4309i 0.291729 + 0.797584i
\(535\) 1.43610i 0.0620880i
\(536\) −16.6720 + 16.0638i −0.720119 + 0.693851i
\(537\) 27.0460 19.7636i 1.16712 0.852861i
\(538\) 3.29481 11.4404i 0.142049 0.493232i
\(539\) −1.94045 + 13.4961i −0.0835811 + 0.581320i
\(540\) 1.78064 + 0.432802i 0.0766268 + 0.0186248i
\(541\) 0.679516 + 1.48793i 0.0292147 + 0.0639712i 0.923677 0.383173i \(-0.125169\pi\)
−0.894462 + 0.447144i \(0.852441\pi\)
\(542\) −15.4625 6.96471i −0.664170 0.299160i
\(543\) −5.39337 + 29.9553i −0.231452 + 1.28551i
\(544\) −3.78475 1.20088i −0.162270 0.0514871i
\(545\) 0.235631 0.802485i 0.0100933 0.0343747i
\(546\) −8.91126 + 8.79883i −0.381367 + 0.376555i
\(547\) −2.18862 + 22.9202i −0.0935785 + 0.979999i 0.819735 + 0.572742i \(0.194120\pi\)
−0.913314 + 0.407256i \(0.866486\pi\)
\(548\) 13.9880 + 11.8686i 0.597536 + 0.507004i
\(549\) −8.09349 + 14.8476i −0.345422 + 0.633680i
\(550\) −14.1684 + 7.39766i −0.604143 + 0.315437i
\(551\) −36.8158 + 10.8101i −1.56841 + 0.460526i
\(552\) 0.282451 + 10.1455i 0.0120219 + 0.431821i
\(553\) 12.7638 + 6.58019i 0.542772 + 0.279818i
\(554\) 15.1372 + 9.61745i 0.643119 + 0.408606i
\(555\) 0.376682 2.86918i 0.0159892 0.121790i
\(556\) −7.95053 1.05899i −0.337178 0.0449113i
\(557\) 14.5090 10.3318i 0.614765 0.437772i −0.229791 0.973240i \(-0.573804\pi\)
0.844556 + 0.535468i \(0.179865\pi\)
\(558\) −2.08317 1.69939i −0.0881875 0.0719411i
\(559\) −7.38450 18.4456i −0.312331 0.780165i
\(560\) 0.0483106 + 0.705581i 0.00204150 + 0.0298162i
\(561\) 2.75582 + 0.229090i 0.116351 + 0.00967219i
\(562\) −11.9538 + 23.4856i −0.504240 + 0.990681i
\(563\) 15.6725 34.3180i 0.660516 1.44633i −0.221524 0.975155i \(-0.571103\pi\)
0.882040 0.471174i \(-0.156170\pi\)
\(564\) 16.1941 17.7727i 0.681894 0.748367i
\(565\) −0.0135274 + 0.0234302i −0.000569103 + 0.000985715i
\(566\) −0.0426852 8.22339i −0.00179419 0.345655i
\(567\) 3.73700 8.21424i 0.156939 0.344966i
\(568\) −39.9693 15.2836i −1.67707 0.641284i
\(569\) −25.4589 6.17625i −1.06729 0.258922i −0.336612 0.941643i \(-0.609281\pi\)
−0.730679 + 0.682721i \(0.760796\pi\)
\(570\) −1.68440 0.212249i −0.0705516 0.00889012i
\(571\) −1.15622 + 2.88810i −0.0483864 + 0.120863i −0.950592 0.310443i \(-0.899523\pi\)
0.902206 + 0.431306i \(0.141947\pi\)
\(572\) −15.3705 17.3708i −0.642672 0.726309i
\(573\) 21.3174 + 9.42119i 0.890547 + 0.393576i
\(574\) 4.06709 + 6.96071i 0.169757 + 0.290534i
\(575\) −3.36694 + 9.72812i −0.140411 + 0.405691i
\(576\) −18.2642 15.5699i −0.761007 0.648744i
\(577\) −1.29309 27.1453i −0.0538321 1.13007i −0.850608 0.525800i \(-0.823766\pi\)
0.796776 0.604275i \(-0.206537\pi\)
\(578\) −7.74976 22.0210i −0.322347 0.915952i
\(579\) −2.19725 + 5.68967i −0.0913145 + 0.236454i
\(580\) 2.72805 + 2.09989i 0.113276 + 0.0871933i
\(581\) −6.68130 + 0.960625i −0.277187 + 0.0398535i
\(582\) −3.18013 + 2.85427i −0.131821 + 0.118313i
\(583\) 7.78562 9.90023i 0.322448 0.410025i
\(584\) −33.4349 30.9005i −1.38354 1.27867i
\(585\) −0.940757 + 2.52784i −0.0388955 + 0.104513i
\(586\) −5.46619 8.40926i −0.225806 0.347383i
\(587\) 12.8239 18.0087i 0.529300 0.743298i −0.460202 0.887814i \(-0.652223\pi\)
0.989502 + 0.144516i \(0.0461625\pi\)
\(588\) −20.6161 2.48917i −0.850194 0.102652i
\(589\) 2.09530 + 1.34657i 0.0863352 + 0.0554843i
\(590\) 0.376666 + 0.322975i 0.0155071 + 0.0132967i
\(591\) 23.8291 34.3469i 0.980197 1.41284i
\(592\) −21.3385 + 31.3222i −0.877005 + 1.28733i
\(593\) 13.1177 + 16.6805i 0.538678 + 0.684985i 0.976855 0.213904i \(-0.0686179\pi\)
−0.438176 + 0.898889i \(0.644375\pi\)
\(594\) 14.8130 + 7.74244i 0.607785 + 0.317676i
\(595\) 0.0937934 0.0812724i 0.00384515 0.00333184i
\(596\) −3.42623 + 12.1332i −0.140344 + 0.496996i
\(597\) 12.7184 + 14.3192i 0.520529 + 0.586047i
\(598\) −14.8784 1.34282i −0.608421 0.0549118i
\(599\) 39.6289 20.4301i 1.61919 0.834753i 0.620472 0.784229i \(-0.286941\pi\)
0.998723 0.0505241i \(-0.0160892\pi\)
\(600\) −11.7522 21.3177i −0.479782 0.870293i
\(601\) −1.38036 5.68993i −0.0563061 0.232097i 0.936705 0.350120i \(-0.113859\pi\)
−0.993011 + 0.118023i \(0.962344\pi\)
\(602\) −2.73802 + 4.79976i −0.111593 + 0.195623i
\(603\) 20.8440 + 12.9819i 0.848832 + 0.528663i
\(604\) 1.61274 0.953573i 0.0656214 0.0388003i
\(605\) −0.998428 + 0.242216i −0.0405919 + 0.00984748i
\(606\) 1.01981 33.8162i 0.0414271 1.37369i
\(607\) −20.4820 39.7295i −0.831338 1.61257i −0.789745 0.613435i \(-0.789787\pi\)
−0.0415927 0.999135i \(1.48676\pi\)
\(608\) 18.4406 + 12.4231i 0.747865 + 0.503825i
\(609\) 12.6757 11.2586i 0.513646 0.456222i
\(610\) −1.36427 + 0.338477i −0.0552378 + 0.0137045i
\(611\) 23.1757 + 26.7462i 0.937587 + 1.08203i
\(612\) −0.253789 + 4.20391i −0.0102588 + 0.169933i
\(613\) 9.14933 7.19512i 0.369538 0.290608i −0.416070 0.909333i \(-0.636593\pi\)
0.785608 + 0.618725i \(0.212350\pi\)
\(614\) −20.4854 14.4279i −0.826724 0.582264i
\(615\) 1.42662 + 0.989757i 0.0575269 + 0.0399109i
\(616\) −1.12204 + 6.35244i −0.0452081 + 0.255947i
\(617\) 16.7998 26.1410i 0.676334 1.05240i −0.318205 0.948022i \(-0.603080\pi\)
0.994538 0.104374i \(-0.0332838\pi\)
\(618\) −33.4224 + 14.0619i −1.34445 + 0.565652i
\(619\) −14.1562 10.0806i −0.568985 0.405173i 0.259037 0.965867i \(-0.416595\pi\)
−0.828023 + 0.560695i \(0.810534\pi\)
\(620\) −0.0129498 0.223094i −0.000520075 0.00895966i
\(621\) 10.3612 2.92097i 0.415782 0.117215i
\(622\) −7.15408 + 2.14103i −0.286853 + 0.0858473i
\(623\) 6.31483 + 4.96604i 0.252998 + 0.198960i
\(624\) 25.9188 24.0020i 1.03758 0.960850i
\(625\) −3.49163 24.2848i −0.139665 0.971394i
\(626\) 1.36720 9.87264i 0.0546445 0.394590i
\(627\) −14.4454 5.57854i −0.576892 0.222786i
\(628\) 16.8714 + 3.07041i 0.673244 + 0.122523i
\(629\) 6.64321 0.316455i 0.264882 0.0126179i
\(630\) 0.713152 0.232626i 0.0284127 0.00926805i
\(631\) −31.1243 10.7722i −1.23904 0.428835i −0.372540 0.928016i \(-0.621513\pi\)
−0.866498 + 0.499181i \(0.833634\pi\)
\(632\) −35.3912 19.7048i −1.40779 0.783815i
\(633\) 0.160392 0.362919i 0.00637500 0.0144248i
\(634\) 4.07691 + 1.38738i 0.161915 + 0.0550998i
\(635\) −2.54292 1.01803i −0.100913 0.0403994i
\(636\) 15.3425 + 11.5130i 0.608371 + 0.456521i
\(637\) 7.20598 29.7034i 0.285511 1.17689i
\(638\) 19.5386 + 24.5816i 0.773539 + 0.973196i
\(639\) −5.35583 + 45.0704i −0.211873 + 1.78296i
\(640\) −0.0724703 1.99364i −0.00286464 0.0788057i
\(641\) −0.0176115 0.0101680i −0.000695611 0.000401611i 0.499652 0.866226i \(-0.333461\pi\)
−0.500348 + 0.865825i \(0.666795\pi\)
\(642\) −19.4662 4.36423i −0.768271 0.172242i
\(643\) 15.8118 + 7.22099i 0.623555 + 0.284768i 0.702029 0.712148i \(-0.252277\pi\)
−0.0784740 + 0.996916i \(0.525005\pi\)
\(644\) 2.28236 + 3.47165i 0.0899376 + 0.136802i
\(645\) −0.0985954 + 1.18604i −0.00388219 + 0.0467005i
\(646\) −0.205883 3.89638i −0.00810037 0.153301i
\(647\) 9.92309 3.97260i 0.390117 0.156179i −0.168308 0.985734i \(-0.553830\pi\)
0.558425 + 0.829555i \(0.311406\pi\)
\(648\) −11.2779 + 22.8213i −0.443037 + 0.896503i
\(649\) 2.62515 + 3.68651i 0.103046 + 0.144708i
\(650\) 33.1935 13.4890i 1.30195 0.529081i
\(651\) −1.09114 0.143251i −0.0427653 0.00561445i
\(652\) 2.40817 + 4.55447i 0.0943110 + 0.178367i
\(653\) 0.0950101 0.184294i 0.00371803 0.00721198i −0.886969 0.461829i \(-0.847193\pi\)
0.890687 + 0.454617i \(0.150224\pi\)
\(654\) 10.1616 + 5.63267i 0.397348 + 0.220255i
\(655\) 0.288304 + 0.981872i 0.0112650 + 0.0383649i
\(656\) −10.8378 19.9920i −0.423144 0.780558i
\(657\) −23.1118 + 42.3989i −0.901679 + 1.65414i
\(658\) 1.81252 9.67418i 0.0706593 0.377139i
\(659\) 30.1829 + 2.88212i 1.17576 + 0.112271i 0.664590 0.747208i \(-0.268606\pi\)
0.511170 + 0.859480i \(0.329212\pi\)
\(660\) 0.358038 + 1.34243i 0.0139366 + 0.0522540i
\(661\) −24.1599 7.09398i −0.939711 0.275924i −0.224214 0.974540i \(-0.571981\pi\)
−0.715497 + 0.698616i \(0.753800\pi\)
\(662\) −6.65487 33.5896i −0.258649 1.30550i
\(663\) −6.10085 1.09844i −0.236937 0.0426599i
\(664\) 18.9237 2.10483i 0.734381 0.0816831i
\(665\) −0.632162 + 0.288699i −0.0245142 + 0.0111953i
\(666\) 37.7468 + 13.8252i 1.46266 + 0.535715i
\(667\) 20.0182 + 2.87819i 0.775109 + 0.111444i
\(668\) −20.9173 + 20.3634i −0.809316 + 0.787883i
\(669\) 11.2645 + 15.4152i 0.435510 + 0.595986i
\(670\) 0.375955 + 2.00626i 0.0145244 + 0.0775086i
\(671\) −12.8210 −0.494949
\(672\) −9.71091 1.48937i −0.374607 0.0574539i
\(673\) 4.03278 28.0486i 0.155452 1.08119i −0.751431 0.659812i \(-0.770636\pi\)
0.906883 0.421382i \(-0.138455\pi\)
\(674\) −0.151255 + 3.56441i −0.00582611 + 0.137296i
\(675\) −18.8779 + 17.6141i −0.726610 + 0.677968i
\(676\) 15.2976 + 21.0172i 0.588368 + 0.808354i
\(677\) −19.0975 20.0289i −0.733977 0.769773i 0.245917 0.969291i \(-0.420911\pi\)
−0.979894 + 0.199518i \(0.936062\pi\)
\(678\) −0.276485 0.254566i −0.0106183 0.00977655i
\(679\) −0.492817 + 1.67838i −0.0189126 + 0.0644103i
\(680\) −0.271778 + 0.220663i −0.0104222 + 0.00846205i
\(681\) 37.0624 22.0082i 1.42023 0.843357i
\(682\) 0.375356 2.00344i 0.0143731 0.0767155i
\(683\) −42.9654 8.28090i −1.64402 0.316860i −0.718494 0.695533i \(-0.755168\pi\)
−0.925530 + 0.378673i \(0.876380\pi\)
\(684\) 7.99580 22.1869i 0.305727 0.848336i
\(685\) 1.55186 0.455666i 0.0592934 0.0174101i
\(686\) −16.7217 + 7.74168i −0.638436 + 0.295579i
\(687\) −12.6124 + 1.97151i −0.481192 + 0.0752177i
\(688\) 8.15299 13.2849i 0.310830 0.506481i
\(689\) −19.4834 + 20.4336i −0.742258 + 0.778457i
\(690\) 0.761107 + 0.470572i 0.0289749 + 0.0179144i
\(691\) 0.533132 0.379642i 0.0202813 0.0144423i −0.569871 0.821734i \(-0.693007\pi\)
0.590153 + 0.807292i \(0.299068\pi\)
\(692\) −6.55547 8.16017i −0.249202 0.310203i
\(693\) 6.82429 0.493034i 0.259233 0.0187288i
\(694\) −0.0861819 1.63101i −0.00327142 0.0619122i
\(695\) −0.463088 + 0.534432i −0.0175659 + 0.0202721i
\(696\) −36.7543 + 30.5970i −1.39317 + 1.15978i
\(697\) −1.65774 + 3.62995i −0.0627916 + 0.137494i
\(698\) 16.0629 + 18.3443i 0.607991 + 0.694343i
\(699\) −21.7158 + 2.34261i −0.821366 + 0.0886058i
\(700\) −8.68094 4.89249i −0.328109 0.184919i
\(701\) 8.29812 + 43.0547i 0.313416 + 1.62616i 0.707243 + 0.706971i \(0.249939\pi\)
−0.393827 + 0.919185i \(0.628849\pi\)
\(702\) −31.4058 20.4339i −1.18533 0.771226i
\(703\) −36.1927 8.78025i −1.36503 0.331154i
\(704\) 3.73722 17.8084i 0.140852 0.671179i
\(705\) −0.524997 2.05382i −0.0197725 0.0773515i
\(706\) 3.34536 + 1.13843i 0.125904 + 0.0428454i
\(707\) −6.92453 11.9936i −0.260424 0.451067i
\(708\) −5.52257 + 4.12417i −0.207551 + 0.154996i
\(709\) −9.21990 + 26.6392i −0.346261 + 1.00045i 0.628617 + 0.777715i \(0.283621\pi\)
−0.974878 + 0.222740i \(0.928500\pi\)
\(710\) −3.06180 + 2.20434i −0.114907 + 0.0827273i
\(711\) −11.0900 + 41.5082i −0.415907 + 1.55668i
\(712\) −17.3551 14.5714i −0.650411 0.546087i
\(713\) −0.709747 1.10439i −0.0265802 0.0413596i
\(714\) 0.816609 + 1.51834i 0.0305608 + 0.0568226i
\(715\) −2.02416 + 0.291031i −0.0756994 + 0.0108839i
\(716\) −15.7020 + 35.3492i −0.586811 + 1.32106i
\(717\) −11.3888 0.402638i −0.425324 0.0150368i
\(718\) −20.7198 + 6.20089i −0.773257 + 0.231415i
\(719\) −1.80042 + 37.7956i −0.0671445 + 1.40954i 0.674268 + 0.738487i \(0.264459\pi\)
−0.741412 + 0.671050i \(0.765844\pi\)
\(720\) −2.03164 + 0.591436i −0.0757147 + 0.0220415i
\(721\) −8.60988 + 12.0909i −0.320649 + 0.450288i
\(722\) 1.15837 4.88542i 0.0431102 0.181817i
\(723\) 28.4727 1.70644i 1.05891 0.0634630i
\(724\) −11.8392 33.0915i −0.439999 1.22984i
\(725\) −45.8380 + 15.8647i −1.70238 + 0.589200i
\(726\) −0.249053 14.2697i −0.00924324 0.529598i
\(727\) −24.7514 31.4739i −0.917978 1.16730i −0.985515 0.169587i \(-0.945757\pi\)
0.0675374 0.997717i \(1.52151\pi\)
\(728\) 3.85746 13.9365i 0.142967 0.516522i
\(729\) 26.3953 + 5.68212i 0.977605 + 0.210449i
\(730\) −3.89583 + 0.966557i −0.144191 + 0.0357739i
\(731\) −2.72287 + 0.260003i −0.100709 + 0.00961655i
\(732\) −0.442079 19.5212i −0.0163397 0.721526i
\(733\) 10.7130 5.52292i 0.395692 0.203994i −0.248884 0.968533i \(-0.580064\pi\)
0.644577 + 0.764540i \(0.277034\pi\)
\(734\) −26.4542 + 34.0010i −0.976441 + 1.25500i
\(735\) −1.18189 + 1.39825i −0.0435945 + 0.0515751i
\(736\) −6.12118 9.99395i −0.225630 0.368382i
\(737\) −1.07826 + 18.5867i −0.0397182 + 0.684648i
\(738\) −17.7515 + 16.3299i −0.653442 + 0.601112i
\(739\) −8.13050 + 1.97244i −0.299085 + 0.0725573i −0.382494 0.923958i \(-0.624935\pi\)
0.0834084 + 0.996515i \(0.473419\pi\)
\(740\) 1.27404 + 3.08906i 0.0468345 + 0.113556i
\(741\) 31.0464 + 15.5267i 1.14052 + 0.570389i
\(742\) 7.82035 + 0.705810i 0.287094 + 0.0259111i
\(743\) −16.0844 + 1.53588i −0.590081 + 0.0563459i −0.385825 0.922572i \(-0.626083\pi\)
−0.204255 + 0.978918i \(0.565477\pi\)
\(744\) 3.06337 + 0.502437i 0.112309 + 0.0184202i
\(745\) 0.727921 + 0.840065i 0.0266690 + 0.0307776i
\(746\) −0.555032 + 0.534750i −0.0203212 + 0.0195786i
\(747\) −7.07122 18.9170i −0.258722 0.692135i
\(748\) −2.89064 + 1.35655i −0.105692 + 0.0496004i
\(749\) −7.71722 + 2.67096i