Properties

Label 570.2.bi.a.347.1
Level $570$
Weight $2$
Character 570.347
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 347.1
Character \(\chi\) \(=\) 570.347
Dual form 570.2.bi.a.23.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.422618 + 0.906308i) q^{2} +(-1.61357 + 0.629597i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(-1.65915 + 1.49907i) q^{5} +(0.111315 - 1.72847i) q^{6} +(0.539376 - 2.01298i) q^{7} +(0.965926 - 0.258819i) q^{8} +(2.20722 - 2.03180i) q^{9} +O(q^{10})\) \(q+(-0.422618 + 0.906308i) q^{2} +(-1.61357 + 0.629597i) q^{3} +(-0.642788 - 0.766044i) q^{4} +(-1.65915 + 1.49907i) q^{5} +(0.111315 - 1.72847i) q^{6} +(0.539376 - 2.01298i) q^{7} +(0.965926 - 0.258819i) q^{8} +(2.20722 - 2.03180i) q^{9} +(-0.657432 - 2.13724i) q^{10} +(-3.78642 - 2.18609i) q^{11} +(1.51948 + 0.831369i) q^{12} +(3.22662 + 2.25930i) q^{13} +(1.59643 + 1.33956i) q^{14} +(1.73335 - 3.46345i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(2.50889 - 5.38034i) q^{17} +(0.908624 + 2.85909i) q^{18} +(-3.26610 + 2.88662i) q^{19} +(2.21484 + 0.307400i) q^{20} +(0.397045 + 3.58767i) q^{21} +(3.58148 - 2.50778i) q^{22} +(5.77215 + 0.504997i) q^{23} +(-1.39564 + 1.02577i) q^{24} +(0.505571 - 4.97437i) q^{25} +(-3.41125 + 1.96949i) q^{26} +(-2.28228 + 4.66810i) q^{27} +(-1.88874 + 0.880732i) q^{28} +(3.16019 + 1.15022i) q^{29} +(2.40641 + 3.03466i) q^{30} +(2.67789 + 4.63824i) q^{31} +(-0.819152 - 0.573576i) q^{32} +(7.48601 + 1.14349i) q^{33} +(3.81594 + 4.54766i) q^{34} +(2.12269 + 4.14840i) q^{35} +(-2.97522 - 0.384811i) q^{36} +(1.42632 + 1.42632i) q^{37} +(-1.23585 - 4.18003i) q^{38} +(-6.62882 - 1.61407i) q^{39} +(-1.21463 + 1.87741i) q^{40} +(-2.40723 - 0.424459i) q^{41} +(-3.41934 - 1.15637i) q^{42} +(2.38153 - 0.208357i) q^{43} +(0.759222 + 4.30576i) q^{44} +(-0.616297 + 6.67983i) q^{45} +(-2.89710 + 5.01792i) q^{46} +(2.85220 - 1.33000i) q^{47} +(-0.339838 - 1.69838i) q^{48} +(2.30101 + 1.32849i) q^{49} +(4.29465 + 2.56046i) q^{50} +(-0.660829 + 10.2611i) q^{51} +(-0.343304 - 3.92398i) q^{52} +(12.3843 + 1.08349i) q^{53} +(-3.26620 - 4.04128i) q^{54} +(9.55936 - 2.04906i) q^{55} -2.08399i q^{56} +(3.45267 - 6.71409i) q^{57} +(-2.37800 + 2.37800i) q^{58} +(-4.57682 + 1.66583i) q^{59} +(-3.76733 + 0.898444i) q^{60} +(6.07641 - 5.09872i) q^{61} +(-5.33540 + 0.466787i) q^{62} +(-2.89945 - 5.53898i) q^{63} +(0.866025 - 0.500000i) q^{64} +(-8.74030 + 1.08840i) q^{65} +(-4.20008 + 6.30137i) q^{66} +(-6.48266 - 13.9021i) q^{67} +(-5.73426 + 1.53649i) q^{68} +(-9.63171 + 2.81928i) q^{69} +(-4.65682 + 0.170622i) q^{70} +(7.74135 - 9.22578i) q^{71} +(1.60614 - 2.53383i) q^{72} +(2.89078 + 4.12846i) q^{73} +(-1.89547 + 0.689894i) q^{74} +(2.31608 + 8.34481i) q^{75} +(4.31069 + 0.646493i) q^{76} +(-6.44287 + 6.44287i) q^{77} +(4.26431 - 5.32562i) q^{78} +(-2.39244 - 0.421851i) q^{79} +(-1.18819 - 1.89426i) q^{80} +(0.743599 - 8.96923i) q^{81} +(1.40203 - 2.00230i) q^{82} +(0.621641 - 2.32000i) q^{83} +(2.49310 - 2.61027i) q^{84} +(3.90287 + 12.6878i) q^{85} +(-0.817641 + 2.24645i) q^{86} +(-5.82336 + 0.133694i) q^{87} +(-4.22321 - 1.13160i) q^{88} +(-1.17246 - 6.64938i) q^{89} +(-5.79353 - 3.38157i) q^{90} +(6.28829 - 5.27650i) q^{91} +(-3.32341 - 4.74633i) q^{92} +(-7.24119 - 5.79814i) q^{93} +3.14705i q^{94} +(1.09171 - 9.68546i) q^{95} +(1.68288 + 0.409770i) q^{96} +(10.3088 + 4.80709i) q^{97} +(-2.17647 + 1.52398i) q^{98} +(-12.7991 + 2.86807i) 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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{8}{9}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.422618 + 0.906308i −0.298836 + 0.640856i
\(3\) −1.61357 + 0.629597i −0.931595 + 0.363498i
\(4\) −0.642788 0.766044i −0.321394 0.383022i
\(5\) −1.65915 + 1.49907i −0.741995 + 0.670405i
\(6\) 0.111315 1.72847i 0.0454444 0.705645i
\(7\) 0.539376 2.01298i 0.203865 0.760835i −0.785927 0.618319i \(-0.787814\pi\)
0.989792 0.142516i \(-0.0455193\pi\)
\(8\) 0.965926 0.258819i 0.341506 0.0915064i
\(9\) 2.20722 2.03180i 0.735738 0.677266i
\(10\) −0.657432 2.13724i −0.207898 0.675854i
\(11\) −3.78642 2.18609i −1.14165 0.659131i −0.194811 0.980841i \(-0.562409\pi\)
−0.946838 + 0.321709i \(0.895743\pi\)
\(12\) 1.51948 + 0.831369i 0.438637 + 0.239996i
\(13\) 3.22662 + 2.25930i 0.894903 + 0.626618i 0.927896 0.372838i \(-0.121615\pi\)
−0.0329939 + 0.999456i \(0.510504\pi\)
\(14\) 1.59643 + 1.33956i 0.426664 + 0.358013i
\(15\) 1.73335 3.46345i 0.447548 0.894260i
\(16\) −0.173648 + 0.984808i −0.0434120 + 0.246202i
\(17\) 2.50889 5.38034i 0.608496 1.30492i −0.324789 0.945786i \(-0.605293\pi\)
0.933285 0.359137i \(-0.116929\pi\)
\(18\) 0.908624 + 2.85909i 0.214165 + 0.673894i
\(19\) −3.26610 + 2.88662i −0.749295 + 0.662237i
\(20\) 2.21484 + 0.307400i 0.495253 + 0.0687367i
\(21\) 0.397045 + 3.58767i 0.0866423 + 0.782895i
\(22\) 3.58148 2.50778i 0.763575 0.534661i
\(23\) 5.77215 + 0.504997i 1.20358 + 0.105299i 0.671244 0.741237i \(-0.265760\pi\)
0.532332 + 0.846536i \(0.321316\pi\)
\(24\) −1.39564 + 1.02577i −0.284883 + 0.209384i
\(25\) 0.505571 4.97437i 0.101114 0.994875i
\(26\) −3.41125 + 1.96949i −0.669001 + 0.386248i
\(27\) −2.28228 + 4.66810i −0.439226 + 0.898377i
\(28\) −1.88874 + 0.880732i −0.356938 + 0.166443i
\(29\) 3.16019 + 1.15022i 0.586833 + 0.213590i 0.618336 0.785914i \(-0.287807\pi\)
−0.0315030 + 0.999504i \(0.510029\pi\)
\(30\) 2.40641 + 3.03466i 0.439348 + 0.554051i
\(31\) 2.67789 + 4.63824i 0.480963 + 0.833053i 0.999761 0.0218437i \(-0.00695362\pi\)
−0.518798 + 0.854897i \(0.673620\pi\)
\(32\) −0.819152 0.573576i −0.144807 0.101395i
\(33\) 7.48601 + 1.14349i 1.30315 + 0.199056i
\(34\) 3.81594 + 4.54766i 0.654428 + 0.779917i
\(35\) 2.12269 + 4.14840i 0.358801 + 0.701208i
\(36\) −2.97522 0.384811i −0.495870 0.0641352i
\(37\) 1.42632 + 1.42632i 0.234485 + 0.234485i 0.814562 0.580077i \(-0.196977\pi\)
−0.580077 + 0.814562i \(0.696977\pi\)
\(38\) −1.23585 4.18003i −0.200482 0.678091i
\(39\) −6.62882 1.61407i −1.06146 0.258458i
\(40\) −1.21463 + 1.87741i −0.192050 + 0.296845i
\(41\) −2.40723 0.424459i −0.375945 0.0662893i −0.0175171 0.999847i \(-0.505576\pi\)
−0.358428 + 0.933557i \(0.616687\pi\)
\(42\) −3.41934 1.15637i −0.527615 0.178432i
\(43\) 2.38153 0.208357i 0.363179 0.0317741i 0.0958941 0.995392i \(-0.469429\pi\)
0.267285 + 0.963617i \(0.413873\pi\)
\(44\) 0.759222 + 4.30576i 0.114457 + 0.649118i
\(45\) −0.616297 + 6.67983i −0.0918722 + 0.995771i
\(46\) −2.89710 + 5.01792i −0.427154 + 0.739852i
\(47\) 2.85220 1.33000i 0.416036 0.194001i −0.203318 0.979113i \(-0.565172\pi\)
0.619354 + 0.785112i \(0.287395\pi\)
\(48\) −0.339838 1.69838i −0.0490515 0.245141i
\(49\) 2.30101 + 1.32849i 0.328716 + 0.189785i
\(50\) 4.29465 + 2.56046i 0.607355 + 0.362104i
\(51\) −0.660829 + 10.2611i −0.0925346 + 1.43685i
\(52\) −0.343304 3.92398i −0.0476077 0.544159i
\(53\) 12.3843 + 1.08349i 1.70112 + 0.148829i 0.895932 0.444190i \(-0.146509\pi\)
0.805188 + 0.593019i \(0.202064\pi\)
\(54\) −3.26620 4.04128i −0.444474 0.549948i
\(55\) 9.55936 2.04906i 1.28898 0.276295i
\(56\) 2.08399i 0.278485i
\(57\) 3.45267 6.71409i 0.457318 0.889303i
\(58\) −2.37800 + 2.37800i −0.312247 + 0.312247i
\(59\) −4.57682 + 1.66583i −0.595851 + 0.216872i −0.622301 0.782778i \(-0.713802\pi\)
0.0264498 + 0.999650i \(0.491580\pi\)
\(60\) −3.76733 + 0.898444i −0.486361 + 0.115989i
\(61\) 6.07641 5.09872i 0.778005 0.652824i −0.164740 0.986337i \(-0.552679\pi\)
0.942745 + 0.333513i \(0.108234\pi\)
\(62\) −5.33540 + 0.466787i −0.677597 + 0.0592820i
\(63\) −2.89945 5.53898i −0.365296 0.697846i
\(64\) 0.866025 0.500000i 0.108253 0.0625000i
\(65\) −8.74030 + 1.08840i −1.08410 + 0.135000i
\(66\) −4.20008 + 6.30137i −0.516994 + 0.775645i
\(67\) −6.48266 13.9021i −0.791983 1.69841i −0.712601 0.701570i \(-0.752483\pi\)
−0.0793824 0.996844i \(-0.525295\pi\)
\(68\) −5.73426 + 1.53649i −0.695381 + 0.186327i
\(69\) −9.63171 + 2.81928i −1.15952 + 0.339401i
\(70\) −4.65682 + 0.170622i −0.556596 + 0.0203932i
\(71\) 7.74135 9.22578i 0.918729 1.09490i −0.0764744 0.997072i \(-0.524366\pi\)
0.995203 0.0978271i \(-0.0311892\pi\)
\(72\) 1.60614 2.53383i 0.189285 0.298615i
\(73\) 2.89078 + 4.12846i 0.338340 + 0.483200i 0.951883 0.306462i \(-0.0991451\pi\)
−0.613543 + 0.789661i \(0.710256\pi\)
\(74\) −1.89547 + 0.689894i −0.220344 + 0.0801985i
\(75\) 2.31608 + 8.34481i 0.267437 + 0.963575i
\(76\) 4.31069 + 0.646493i 0.494470 + 0.0741579i
\(77\) −6.44287 + 6.44287i −0.734233 + 0.734233i
\(78\) 4.26431 5.32562i 0.482838 0.603007i
\(79\) −2.39244 0.421851i −0.269170 0.0474620i 0.0374338 0.999299i \(-0.488082\pi\)
−0.306604 + 0.951837i \(0.599193\pi\)
\(80\) −1.18819 1.89426i −0.132843 0.211784i
\(81\) 0.743599 8.96923i 0.0826221 0.996581i
\(82\) 1.40203 2.00230i 0.154828 0.221117i
\(83\) 0.621641 2.32000i 0.0682340 0.254653i −0.923380 0.383887i \(-0.874585\pi\)
0.991614 + 0.129234i \(0.0412519\pi\)
\(84\) 2.49310 2.61027i 0.272020 0.284803i
\(85\) 3.90287 + 12.6878i 0.423326 + 1.37619i
\(86\) −0.817641 + 2.24645i −0.0881685 + 0.242241i
\(87\) −5.82336 + 0.133694i −0.624330 + 0.0143335i
\(88\) −4.22321 1.13160i −0.450195 0.120629i
\(89\) −1.17246 6.64938i −0.124281 0.704833i −0.981732 0.190267i \(-0.939064\pi\)
0.857451 0.514565i \(-0.172047\pi\)
\(90\) −5.79353 3.38157i −0.610691 0.356449i
\(91\) 6.28829 5.27650i 0.659192 0.553128i
\(92\) −3.32341 4.74633i −0.346490 0.494839i
\(93\) −7.24119 5.79814i −0.750876 0.601239i
\(94\) 3.14705i 0.324594i
\(95\) 1.09171 9.68546i 0.112007 0.993707i
\(96\) 1.68288 + 0.409770i 0.171758 + 0.0418220i
\(97\) 10.3088 + 4.80709i 1.04670 + 0.488086i 0.868387 0.495887i \(-0.165157\pi\)
0.178317 + 0.983973i \(0.442935\pi\)
\(98\) −2.17647 + 1.52398i −0.219857 + 0.153946i
\(99\) −12.7991 + 2.86807i −1.28636 + 0.288252i
\(100\) −4.13557 + 2.81018i −0.413557 + 0.281018i
\(101\) −8.92594 + 1.57388i −0.888164 + 0.156607i −0.599073 0.800694i \(-0.704464\pi\)
−0.289091 + 0.957302i \(0.593353\pi\)
\(102\) −9.02047 4.93546i −0.893160 0.488683i
\(103\) 0.426490 + 1.59168i 0.0420233 + 0.156833i 0.983749 0.179548i \(-0.0574636\pi\)
−0.941726 + 0.336381i \(0.890797\pi\)
\(104\) 3.70142 + 1.34721i 0.362954 + 0.132105i
\(105\) −6.03694 5.35730i −0.589145 0.522819i
\(106\) −6.21583 + 10.7661i −0.603734 + 1.04570i
\(107\) 7.96848 + 2.13515i 0.770342 + 0.206412i 0.622522 0.782602i \(-0.286108\pi\)
0.147819 + 0.989014i \(0.452775\pi\)
\(108\) 5.04300 1.25227i 0.485263 0.120500i
\(109\) 2.21689 2.64199i 0.212340 0.253057i −0.649353 0.760487i \(-0.724960\pi\)
0.861693 + 0.507431i \(0.169405\pi\)
\(110\) −2.18288 + 9.52969i −0.208130 + 0.908620i
\(111\) −3.19946 1.40346i −0.303680 0.133210i
\(112\) 1.88874 + 0.880732i 0.178469 + 0.0832214i
\(113\) −5.09234 5.09234i −0.479047 0.479047i 0.425780 0.904827i \(-0.360000\pi\)
−0.904827 + 0.425780i \(0.860000\pi\)
\(114\) 4.62587 + 5.96668i 0.433253 + 0.558831i
\(115\) −10.3339 + 7.81499i −0.963641 + 0.728752i
\(116\) −1.15022 3.16019i −0.106795 0.293416i
\(117\) 11.7123 1.56907i 1.08280 0.145060i
\(118\) 0.424496 4.85202i 0.0390781 0.446664i
\(119\) −9.47727 7.95238i −0.868780 0.728993i
\(120\) 0.777877 3.79406i 0.0710101 0.346349i
\(121\) 4.05799 + 7.02865i 0.368909 + 0.638968i
\(122\) 2.05300 + 7.66191i 0.185870 + 0.693677i
\(123\) 4.15146 0.830688i 0.374325 0.0749006i
\(124\) 1.83179 5.03279i 0.164499 0.451958i
\(125\) 6.61812 + 9.01113i 0.591943 + 0.805980i
\(126\) 6.24538 0.286916i 0.556383 0.0255605i
\(127\) 10.6842 15.2586i 0.948065 1.35398i 0.0128425 0.999918i \(-0.495912\pi\)
0.935223 0.354060i \(-0.115199\pi\)
\(128\) 0.0871557 + 0.996195i 0.00770355 + 0.0880520i
\(129\) −3.71158 + 1.83560i −0.326786 + 0.161616i
\(130\) 2.70738 8.38138i 0.237453 0.735096i
\(131\) −1.54823 4.25374i −0.135270 0.371651i 0.853501 0.521092i \(-0.174475\pi\)
−0.988771 + 0.149440i \(0.952253\pi\)
\(132\) −3.93595 6.46964i −0.342581 0.563110i
\(133\) 4.04906 + 8.13157i 0.351098 + 0.705097i
\(134\) 15.3393 1.32511
\(135\) −3.21116 11.1664i −0.276373 0.961050i
\(136\) 1.03087 5.84635i 0.0883964 0.501321i
\(137\) −0.593667 + 6.78565i −0.0507204 + 0.579737i 0.927730 + 0.373253i \(0.121758\pi\)
−0.978450 + 0.206484i \(0.933798\pi\)
\(138\) 1.51540 9.92077i 0.129000 0.844512i
\(139\) −3.07399 + 0.542027i −0.260732 + 0.0459741i −0.302486 0.953154i \(-0.597817\pi\)
0.0417539 + 0.999128i \(0.486705\pi\)
\(140\) 1.81342 4.29262i 0.153262 0.362793i
\(141\) −3.76486 + 3.94179i −0.317058 + 0.331958i
\(142\) 5.08976 + 10.9150i 0.427123 + 0.915969i
\(143\) −7.27829 15.6084i −0.608641 1.30524i
\(144\) 1.61765 + 2.52650i 0.134804 + 0.210542i
\(145\) −6.96749 + 2.82897i −0.578619 + 0.234933i
\(146\) −4.96335 + 0.875173i −0.410770 + 0.0724298i
\(147\) −4.54926 0.694902i −0.375217 0.0573146i
\(148\) 0.175803 2.00944i 0.0144509 0.165175i
\(149\) 1.37537 7.80014i 0.112675 0.639012i −0.875200 0.483761i \(-0.839270\pi\)
0.987875 0.155251i \(-0.0496186\pi\)
\(150\) −8.54178 1.42759i −0.697433 0.116562i
\(151\) −10.9477 −0.890911 −0.445455 0.895304i \(-0.646958\pi\)
−0.445455 + 0.895304i \(0.646958\pi\)
\(152\) −2.40770 + 3.63359i −0.195290 + 0.294723i
\(153\) −5.39409 16.9731i −0.436086 1.37220i
\(154\) −3.11635 8.56209i −0.251122 0.689953i
\(155\) −11.3961 3.68120i −0.915356 0.295681i
\(156\) 3.02447 + 6.11548i 0.242152 + 0.489630i
\(157\) −2.14120 24.4740i −0.170886 1.95324i −0.281956 0.959427i \(-0.590983\pi\)
0.111069 0.993813i \(-0.464572\pi\)
\(158\) 1.39341 1.99000i 0.110854 0.158316i
\(159\) −20.6652 + 6.04886i −1.63885 + 0.479706i
\(160\) 2.21893 0.276317i 0.175422 0.0218447i
\(161\) 4.12991 11.3468i 0.325482 0.894256i
\(162\) 7.81462 + 4.46449i 0.613975 + 0.350763i
\(163\) −0.417646 1.55868i −0.0327126 0.122085i 0.947639 0.319344i \(-0.103463\pi\)
−0.980351 + 0.197259i \(0.936796\pi\)
\(164\) 1.22218 + 2.11688i 0.0954363 + 0.165300i
\(165\) −14.1346 + 9.32484i −1.10038 + 0.725938i
\(166\) 1.83991 + 1.54387i 0.142805 + 0.119828i
\(167\) −1.64146 + 18.7620i −0.127020 + 1.45185i 0.618721 + 0.785611i \(0.287651\pi\)
−0.745741 + 0.666236i \(0.767904\pi\)
\(168\) 1.31207 + 3.36266i 0.101229 + 0.259435i
\(169\) 0.860352 + 2.36380i 0.0661809 + 0.181831i
\(170\) −13.1485 1.82489i −1.00844 0.139963i
\(171\) −1.34396 + 13.0075i −0.102775 + 0.994705i
\(172\) −1.69043 1.69043i −0.128894 0.128894i
\(173\) 14.6798 + 6.84532i 1.11609 + 0.520440i 0.891048 0.453910i \(-0.149971\pi\)
0.225039 + 0.974350i \(0.427749\pi\)
\(174\) 2.33989 5.33426i 0.177387 0.404389i
\(175\) −9.74062 3.70077i −0.736322 0.279752i
\(176\) 2.81039 3.34929i 0.211841 0.252462i
\(177\) 6.33622 5.56948i 0.476259 0.418628i
\(178\) 6.52189 + 1.74753i 0.488836 + 0.130983i
\(179\) 9.64388 16.7037i 0.720818 1.24849i −0.239855 0.970809i \(-0.577100\pi\)
0.960672 0.277684i \(-0.0895668\pi\)
\(180\) 5.51320 3.82160i 0.410929 0.284845i
\(181\) 12.9197 + 4.70237i 0.960311 + 0.349524i 0.774155 0.632996i \(-0.218175\pi\)
0.186155 + 0.982520i \(0.440397\pi\)
\(182\) 2.12459 + 7.92907i 0.157485 + 0.587742i
\(183\) −6.59458 + 12.0528i −0.487485 + 0.890971i
\(184\) 5.70617 1.00615i 0.420664 0.0741745i
\(185\) −4.50462 0.228326i −0.331187 0.0167869i
\(186\) 8.31516 4.11235i 0.609697 0.301532i
\(187\) −21.2616 + 14.8876i −1.55480 + 1.08869i
\(188\) −2.85220 1.33000i −0.208018 0.0970004i
\(189\) 8.16579 + 7.11206i 0.593974 + 0.517326i
\(190\) 8.31664 + 5.08267i 0.603352 + 0.368736i
\(191\) 19.3179i 1.39779i 0.715222 + 0.698897i \(0.246325\pi\)
−0.715222 + 0.698897i \(0.753675\pi\)
\(192\) −1.08259 + 1.35203i −0.0781295 + 0.0975745i
\(193\) 13.8374 + 19.7619i 0.996041 + 1.42249i 0.904392 + 0.426702i \(0.140325\pi\)
0.0916482 + 0.995791i \(0.470786\pi\)
\(194\) −8.71340 + 7.31141i −0.625586 + 0.524929i
\(195\) 13.4178 7.25908i 0.960871 0.519834i
\(196\) −0.461380 2.61662i −0.0329557 0.186901i
\(197\) −26.3154 7.05119i −1.87489 0.502376i −0.999831 0.0183667i \(-0.994153\pi\)
−0.875063 0.484010i \(-0.839180\pi\)
\(198\) 2.80980 12.8121i 0.199684 0.910514i
\(199\) 3.20138 8.79572i 0.226940 0.623512i −0.773001 0.634405i \(-0.781245\pi\)
0.999941 + 0.0108930i \(0.00346741\pi\)
\(200\) −0.799118 4.93573i −0.0565062 0.349009i
\(201\) 19.2130 + 18.3506i 1.35518 + 1.29435i
\(202\) 2.34584 8.75480i 0.165053 0.615986i
\(203\) 4.01990 5.74101i 0.282141 0.402940i
\(204\) 8.28526 6.08951i 0.580084 0.426351i
\(205\) 4.63025 2.90436i 0.323390 0.202849i
\(206\) −1.62280 0.286143i −0.113066 0.0199365i
\(207\) 13.7664 10.6132i 0.956832 0.737668i
\(208\) −2.78527 + 2.78527i −0.193124 + 0.193124i
\(209\) 18.6773 3.78997i 1.29193 0.262158i
\(210\) 7.40668 3.20723i 0.511110 0.221320i
\(211\) −6.26865 + 2.28160i −0.431551 + 0.157072i −0.548657 0.836048i \(-0.684861\pi\)
0.117105 + 0.993119i \(0.462638\pi\)
\(212\) −7.13050 10.1834i −0.489725 0.699400i
\(213\) −6.68268 + 19.7604i −0.457890 + 1.35396i
\(214\) −5.30272 + 6.31954i −0.362487 + 0.431995i
\(215\) −3.63897 + 3.91577i −0.248176 + 0.267053i
\(216\) −0.996322 + 5.09974i −0.0677911 + 0.346993i
\(217\) 10.7811 2.88878i 0.731868 0.196103i
\(218\) 1.45756 + 3.12574i 0.0987181 + 0.211702i
\(219\) −7.26374 4.84153i −0.490838 0.327161i
\(220\) −7.71431 6.00578i −0.520098 0.404910i
\(221\) 20.2510 11.6919i 1.36223 0.786485i
\(222\) 2.62412 2.30657i 0.176119 0.154807i
\(223\) −13.1467 + 1.15019i −0.880369 + 0.0770223i −0.518370 0.855156i \(-0.673461\pi\)
−0.361999 + 0.932179i \(0.617906\pi\)
\(224\) −1.59643 + 1.33956i −0.106666 + 0.0895033i
\(225\) −8.99101 12.0067i −0.599401 0.800449i
\(226\) 6.76734 2.46311i 0.450157 0.163844i
\(227\) 8.40098 8.40098i 0.557592 0.557592i −0.371029 0.928621i \(-0.620995\pi\)
0.928621 + 0.371029i \(0.120995\pi\)
\(228\) −7.36263 + 1.67084i −0.487602 + 0.110654i
\(229\) 20.3505i 1.34480i 0.740187 + 0.672401i \(0.234737\pi\)
−0.740187 + 0.672401i \(0.765263\pi\)
\(230\) −2.71549 12.6684i −0.179054 0.835333i
\(231\) 6.33961 14.4524i 0.417115 0.950900i
\(232\) 3.35021 + 0.293105i 0.219952 + 0.0192433i
\(233\) 2.62783 + 30.0362i 0.172155 + 1.96774i 0.242297 + 0.970202i \(0.422099\pi\)
−0.0701418 + 0.997537i \(0.522345\pi\)
\(234\) −3.52777 + 11.2780i −0.230617 + 0.737269i
\(235\) −2.73846 + 6.48232i −0.178638 + 0.422860i
\(236\) 4.21802 + 2.43528i 0.274570 + 0.158523i
\(237\) 4.12596 0.825585i 0.268010 0.0536275i
\(238\) 11.2126 5.22851i 0.726803 0.338914i
\(239\) −2.73489 + 4.73697i −0.176905 + 0.306409i −0.940819 0.338910i \(-0.889942\pi\)
0.763914 + 0.645318i \(0.223275\pi\)
\(240\) 3.10984 + 2.30844i 0.200739 + 0.149009i
\(241\) 0.912029 + 5.17237i 0.0587489 + 0.333182i 0.999990 0.00455478i \(-0.00144984\pi\)
−0.941241 + 0.337737i \(0.890339\pi\)
\(242\) −8.08511 + 0.707355i −0.519730 + 0.0454705i
\(243\) 4.44715 + 14.9406i 0.285285 + 0.958443i
\(244\) −7.81169 1.37741i −0.500092 0.0881797i
\(245\) −5.80924 + 1.24522i −0.371139 + 0.0795539i
\(246\) −1.00163 + 4.11357i −0.0638613 + 0.262272i
\(247\) −17.0602 + 1.93492i −1.08551 + 0.123116i
\(248\) 3.78711 + 3.78711i 0.240482 + 0.240482i
\(249\) 0.457601 + 4.13486i 0.0289993 + 0.262036i
\(250\) −10.9638 + 2.18979i −0.693411 + 0.138494i
\(251\) 16.9309 + 20.1775i 1.06867 + 1.27359i 0.960146 + 0.279499i \(0.0901682\pi\)
0.108525 + 0.994094i \(0.465387\pi\)
\(252\) −2.37938 + 5.78150i −0.149887 + 0.364200i
\(253\) −20.7518 14.5306i −1.30466 0.913529i
\(254\) 9.31363 + 16.1317i 0.584389 + 1.01219i
\(255\) −14.2858 18.0154i −0.894609 1.12817i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 15.4117 7.18658i 0.961354 0.448287i 0.122395 0.992481i \(-0.460943\pi\)
0.838959 + 0.544195i \(0.183165\pi\)
\(258\) −0.0950373 4.13959i −0.00591677 0.257720i
\(259\) 3.64047 2.10182i 0.226208 0.130601i
\(260\) 6.45192 + 5.99585i 0.400131 + 0.371847i
\(261\) 9.31223 3.88210i 0.576413 0.240296i
\(262\) 4.50951 + 0.394531i 0.278598 + 0.0243742i
\(263\) −17.3143 + 12.1236i −1.06764 + 0.747572i −0.968878 0.247539i \(-0.920378\pi\)
−0.0987654 + 0.995111i \(0.531489\pi\)
\(264\) 7.52689 0.832994i 0.463248 0.0512673i
\(265\) −22.1717 + 16.7673i −1.36200 + 1.03001i
\(266\) −9.08091 + 0.233140i −0.556786 + 0.0142947i
\(267\) 6.07828 + 9.99105i 0.371985 + 0.611443i
\(268\) −6.48266 + 13.9021i −0.395992 + 0.849207i
\(269\) −1.52614 + 8.65518i −0.0930505 + 0.527716i 0.902277 + 0.431157i \(0.141895\pi\)
−0.995327 + 0.0965584i \(0.969217\pi\)
\(270\) 11.4773 + 1.80882i 0.698486 + 0.110081i
\(271\) −14.7524 12.3787i −0.896143 0.751953i 0.0732900 0.997311i \(-0.476650\pi\)
−0.969433 + 0.245358i \(0.921095\pi\)
\(272\) 4.86293 + 3.40506i 0.294859 + 0.206462i
\(273\) −6.82453 + 12.4731i −0.413039 + 0.754906i
\(274\) −5.89899 3.40578i −0.356371 0.205751i
\(275\) −12.7887 + 17.7299i −0.771190 + 1.06915i
\(276\) 8.35083 + 5.56612i 0.502661 + 0.335041i
\(277\) 3.73317 1.00030i 0.224305 0.0601023i −0.144916 0.989444i \(-0.546291\pi\)
0.369221 + 0.929342i \(0.379625\pi\)
\(278\) 0.807880 3.01505i 0.0484534 0.180831i
\(279\) 15.3347 + 4.79667i 0.918062 + 0.287169i
\(280\) 3.12405 + 3.45766i 0.186698 + 0.206635i
\(281\) −9.39123 11.1920i −0.560234 0.667660i 0.409362 0.912372i \(-0.365751\pi\)
−0.969596 + 0.244711i \(0.921307\pi\)
\(282\) −1.98137 5.07799i −0.117989 0.302390i
\(283\) 10.9391 23.4589i 0.650259 1.39449i −0.253875 0.967237i \(-0.581705\pi\)
0.904134 0.427248i \(-0.140517\pi\)
\(284\) −12.0434 −0.714644
\(285\) 4.33639 + 16.3155i 0.256866 + 0.966447i
\(286\) 17.2219 1.01835
\(287\) −2.15283 + 4.61675i −0.127077 + 0.272518i
\(288\) −2.97344 + 0.398344i −0.175211 + 0.0234727i
\(289\) −11.7261 13.9746i −0.689770 0.822035i
\(290\) 0.380673 7.51027i 0.0223539 0.441018i
\(291\) −19.6605 1.26616i −1.15252 0.0742237i
\(292\) 1.30443 4.86819i 0.0763358 0.284889i
\(293\) −3.02054 + 0.809352i −0.176462 + 0.0472828i −0.345968 0.938246i \(-0.612449\pi\)
0.169506 + 0.985529i \(0.445783\pi\)
\(294\) 2.55240 3.82935i 0.148859 0.223332i
\(295\) 5.09645 9.62484i 0.296727 0.560380i
\(296\) 1.74687 + 1.00856i 0.101535 + 0.0586212i
\(297\) 18.8466 12.6861i 1.09359 0.736124i
\(298\) 6.48807 + 4.54299i 0.375844 + 0.263169i
\(299\) 17.4836 + 14.6705i 1.01110 + 0.848414i
\(300\) 4.90375 7.13816i 0.283118 0.412122i
\(301\) 0.865122 4.90635i 0.0498648 0.282797i
\(302\) 4.62670 9.92198i 0.266236 0.570946i
\(303\) 13.4117 8.15932i 0.770483 0.468741i
\(304\) −2.27562 3.71774i −0.130515 0.213227i
\(305\) −2.43836 + 17.5685i −0.139620 + 1.00597i
\(306\) 17.6625 + 2.28445i 1.00970 + 0.130593i
\(307\) −6.84030 + 4.78963i −0.390397 + 0.273359i −0.752252 0.658876i \(-0.771032\pi\)
0.361855 + 0.932234i \(0.382143\pi\)
\(308\) 9.07692 + 0.794127i 0.517205 + 0.0452496i
\(309\) −1.69029 2.29977i −0.0961572 0.130829i
\(310\) 8.15250 8.77262i 0.463031 0.498251i
\(311\) 12.1464 7.01276i 0.688762 0.397657i −0.114386 0.993436i \(-0.536490\pi\)
0.803148 + 0.595780i \(0.203157\pi\)
\(312\) −6.82070 + 0.156591i −0.386146 + 0.00886520i
\(313\) −24.9350 + 11.6274i −1.40941 + 0.657218i −0.970453 0.241291i \(-0.922429\pi\)
−0.438955 + 0.898509i \(0.644651\pi\)
\(314\) 23.0859 + 8.40258i 1.30281 + 0.474185i
\(315\) 13.1140 + 4.84354i 0.738888 + 0.272903i
\(316\) 1.21467 + 2.10387i 0.0683307 + 0.118352i
\(317\) −17.3851 12.1732i −0.976447 0.683715i −0.0276549 0.999618i \(-0.508804\pi\)
−0.948792 + 0.315902i \(0.897693\pi\)
\(318\) 3.25135 21.2854i 0.182327 1.19362i
\(319\) −9.45134 11.2637i −0.529174 0.630645i
\(320\) −0.687332 + 2.12781i −0.0384230 + 0.118948i
\(321\) −14.2020 + 1.57172i −0.792677 + 0.0877248i
\(322\) 8.53835 + 8.53835i 0.475824 + 0.475824i
\(323\) 7.33670 + 24.8149i 0.408225 + 1.38074i
\(324\) −7.34880 + 5.19568i −0.408267 + 0.288649i
\(325\) 12.8699 14.9082i 0.713893 0.826956i
\(326\) 1.58915 + 0.280209i 0.0880146 + 0.0155193i
\(327\) −1.91372 + 5.65878i −0.105829 + 0.312931i
\(328\) −2.43506 + 0.213040i −0.134454 + 0.0117632i
\(329\) −1.13886 6.45879i −0.0627873 0.356085i
\(330\) −2.47763 16.7512i −0.136389 0.922121i
\(331\) −11.0257 + 19.0971i −0.606029 + 1.04967i 0.385859 + 0.922558i \(0.373905\pi\)
−0.991888 + 0.127115i \(0.959428\pi\)
\(332\) −2.17680 + 1.01506i −0.119468 + 0.0557087i
\(333\) 6.04617 + 0.250202i 0.331328 + 0.0137110i
\(334\) −16.3104 9.41683i −0.892467 0.515266i
\(335\) 31.5960 + 13.3478i 1.72627 + 0.729266i
\(336\) −3.60212 0.231980i −0.196512 0.0126556i
\(337\) 1.75008 + 20.0035i 0.0953327 + 1.08966i 0.881672 + 0.471863i \(0.156418\pi\)
−0.786339 + 0.617795i \(0.788026\pi\)
\(338\) −2.50593 0.219240i −0.136305 0.0119251i
\(339\) 11.4230 + 5.01072i 0.620410 + 0.272145i
\(340\) 7.21070 11.1453i 0.391055 0.604441i
\(341\) 23.4165i 1.26807i
\(342\) −11.2208 6.71522i −0.606750 0.363118i
\(343\) 14.2306 14.2306i 0.768378 0.768378i
\(344\) 2.24645 0.817641i 0.121121 0.0440843i
\(345\) 11.7542 19.1162i 0.632823 1.02918i
\(346\) −12.4079 + 10.4115i −0.667055 + 0.559725i
\(347\) 24.9898 2.18633i 1.34152 0.117368i 0.606324 0.795218i \(-0.292643\pi\)
0.735201 + 0.677849i \(0.237088\pi\)
\(348\) 3.84560 + 4.37502i 0.206146 + 0.234526i
\(349\) 17.3782 10.0333i 0.930233 0.537070i 0.0433476 0.999060i \(-0.486198\pi\)
0.886885 + 0.461990i \(0.152864\pi\)
\(350\) 7.47060 7.26399i 0.399320 0.388277i
\(351\) −17.9107 + 9.90582i −0.956003 + 0.528733i
\(352\) 1.84776 + 3.96254i 0.0984862 + 0.211204i
\(353\) 27.5514 7.38238i 1.46641 0.392924i 0.564714 0.825287i \(-0.308987\pi\)
0.901700 + 0.432362i \(0.142320\pi\)
\(354\) 2.36986 + 8.09633i 0.125957 + 0.430315i
\(355\) 0.986026 + 26.9118i 0.0523328 + 1.42833i
\(356\) −4.34007 + 5.17230i −0.230023 + 0.274131i
\(357\) 20.2990 + 6.86485i 1.07434 + 0.363326i
\(358\) 11.0630 + 15.7996i 0.584698 + 0.835035i
\(359\) 21.9667 7.99521i 1.15936 0.421971i 0.310489 0.950577i \(-0.399507\pi\)
0.848867 + 0.528606i \(0.177285\pi\)
\(360\) 1.13357 + 6.61173i 0.0597444 + 0.348469i
\(361\) 2.33483 18.8560i 0.122886 0.992421i
\(362\) −9.72188 + 9.72188i −0.510971 + 0.510971i
\(363\) −10.9731 8.78632i −0.575937 0.461162i
\(364\) −8.08407 1.42544i −0.423720 0.0747133i
\(365\) −10.9851 2.51626i −0.574986 0.131707i
\(366\) −8.13658 11.0705i −0.425306 0.578662i
\(367\) −14.2088 + 20.2922i −0.741691 + 1.05924i 0.254063 + 0.967188i \(0.418233\pi\)
−0.995754 + 0.0920567i \(0.970656\pi\)
\(368\) −1.49965 + 5.59676i −0.0781746 + 0.291751i
\(369\) −6.17568 + 3.95412i −0.321493 + 0.205843i
\(370\) 2.11067 3.98608i 0.109729 0.207226i
\(371\) 8.86087 24.3450i 0.460033 1.26393i
\(372\) 0.212915 + 9.27404i 0.0110391 + 0.480837i
\(373\) −4.70106 1.25964i −0.243411 0.0652219i 0.135051 0.990839i \(-0.456880\pi\)
−0.378462 + 0.925617i \(0.623547\pi\)
\(374\) −4.50715 25.5613i −0.233059 1.32175i
\(375\) −16.3522 10.3733i −0.844423 0.535677i
\(376\) 2.41078 2.02289i 0.124327 0.104322i
\(377\) 7.59805 + 10.8511i 0.391319 + 0.558862i
\(378\) −9.89672 + 4.39503i −0.509033 + 0.226056i
\(379\) 7.91114i 0.406368i −0.979141 0.203184i \(-0.934871\pi\)
0.979141 0.203184i \(-0.0651289\pi\)
\(380\) −8.12123 + 5.38940i −0.416610 + 0.276470i
\(381\) −7.63289 + 31.3474i −0.391045 + 1.60598i
\(382\) −17.5080 8.16409i −0.895785 0.417711i
\(383\) −17.9083 + 12.5395i −0.915070 + 0.640739i −0.933301 0.359095i \(-0.883085\pi\)
0.0182314 + 0.999834i \(0.494196\pi\)
\(384\) −0.767833 1.55256i −0.0391833 0.0792286i
\(385\) 1.03138 20.3480i 0.0525640 1.03703i
\(386\) −23.7583 + 4.18923i −1.20927 + 0.213226i
\(387\) 4.83320 5.29867i 0.245686 0.269346i
\(388\) −2.94395 10.9870i −0.149456 0.557778i
\(389\) −23.1846 8.43852i −1.17551 0.427850i −0.320895 0.947115i \(-0.603984\pi\)
−0.854613 + 0.519265i \(0.826206\pi\)
\(390\) 0.908342 + 15.2285i 0.0459957 + 0.771125i
\(391\) 17.1987 29.7891i 0.869778 1.50650i
\(392\) 2.56645 + 0.687678i 0.129625 + 0.0347330i
\(393\) 5.17633 + 5.88894i 0.261111 + 0.297058i
\(394\) 17.5119 20.8699i 0.882237 1.05141i
\(395\) 4.60180 2.88652i 0.231542 0.145237i
\(396\) 10.4242 + 7.96116i 0.523836 + 0.400063i
\(397\) −14.9012 6.94854i −0.747869 0.348737i 0.0110351 0.999939i \(-0.496487\pi\)
−0.758905 + 0.651202i \(0.774265\pi\)
\(398\) 6.61867 + 6.61867i 0.331764 + 0.331764i
\(399\) −11.6530 10.5716i −0.583382 0.529241i
\(400\) 4.81101 + 1.36168i 0.240551 + 0.0680841i
\(401\) −7.19507 19.7683i −0.359305 0.987181i −0.979271 0.202553i \(-0.935076\pi\)
0.619967 0.784628i \(-0.287146\pi\)
\(402\) −24.7510 + 9.65757i −1.23447 + 0.481676i
\(403\) −1.83866 + 21.0160i −0.0915903 + 1.04688i
\(404\) 6.94315 + 5.82600i 0.345435 + 0.289854i
\(405\) 12.2118 + 15.9960i 0.606808 + 0.794849i
\(406\) 3.50424 + 6.06952i 0.173912 + 0.301225i
\(407\) −2.28258 8.51869i −0.113143 0.422256i
\(408\) 2.01747 + 10.0825i 0.0998794 + 0.499160i
\(409\) −4.92365 + 13.5276i −0.243459 + 0.668897i 0.756432 + 0.654073i \(0.226941\pi\)
−0.999890 + 0.0148241i \(0.995281\pi\)
\(410\) 0.675418 + 5.42386i 0.0333565 + 0.267866i
\(411\) −3.31430 11.3229i −0.163482 0.558517i
\(412\) 0.945156 1.34982i 0.0465645 0.0665010i
\(413\) 0.884647 + 10.1116i 0.0435306 + 0.497557i
\(414\) 3.80088 + 16.9619i 0.186803 + 0.833634i
\(415\) 2.44644 + 4.78111i 0.120091 + 0.234696i
\(416\) −1.34721 3.70142i −0.0660523 0.181477i
\(417\) 4.61883 2.80997i 0.226185 0.137605i
\(418\) −4.45847 + 18.5291i −0.218071 + 0.906286i
\(419\) −23.3446 −1.14046 −0.570229 0.821486i \(-0.693146\pi\)
−0.570229 + 0.821486i \(0.693146\pi\)
\(420\) −0.223461 + 8.06817i −0.0109038 + 0.393686i
\(421\) −4.62403 + 26.2242i −0.225361 + 1.27809i 0.636632 + 0.771168i \(0.280327\pi\)
−0.861993 + 0.506920i \(0.830784\pi\)
\(422\) 0.581412 6.64557i 0.0283027 0.323501i
\(423\) 3.59312 8.73069i 0.174704 0.424501i
\(424\) 12.2428 2.15873i 0.594562 0.104837i
\(425\) −25.4954 15.2003i −1.23671 0.737323i
\(426\) −15.0848 14.4077i −0.730859 0.698053i
\(427\) −6.98614 14.9818i −0.338083 0.725022i
\(428\) −3.48642 7.47665i −0.168522 0.361398i
\(429\) 21.5710 + 20.6028i 1.04146 + 0.994711i
\(430\) −2.01100 4.95291i −0.0969790 0.238850i
\(431\) 13.3557 2.35496i 0.643319 0.113435i 0.157535 0.987513i \(-0.449645\pi\)
0.485784 + 0.874079i \(0.338534\pi\)
\(432\) −4.20087 3.05822i −0.202114 0.147139i
\(433\) 2.76808 31.6393i 0.133025 1.52049i −0.577253 0.816566i \(-0.695875\pi\)
0.710278 0.703921i \(-0.248569\pi\)
\(434\) −1.93816 + 10.9918i −0.0930345 + 0.527625i
\(435\) 9.46143 8.95145i 0.453641 0.429189i
\(436\) −3.44887 −0.165171
\(437\) −20.3101 + 15.0126i −0.971566 + 0.718152i
\(438\) 7.45771 4.53706i 0.356343 0.216789i
\(439\) 6.39402 + 17.5674i 0.305170 + 0.838448i 0.993581 + 0.113127i \(0.0360866\pi\)
−0.688411 + 0.725321i \(0.741691\pi\)
\(440\) 8.70330 4.45338i 0.414913 0.212307i
\(441\) 7.77806 1.74293i 0.370384 0.0829966i
\(442\) 2.03804 + 23.2949i 0.0969396 + 1.10803i
\(443\) 15.9453 22.7723i 0.757586 1.08194i −0.236316 0.971676i \(-0.575940\pi\)
0.993902 0.110269i \(-0.0351711\pi\)
\(444\) 0.981466 + 3.35306i 0.0465783 + 0.159129i
\(445\) 11.9132 + 9.27472i 0.564739 + 0.439664i
\(446\) 4.51362 12.4011i 0.213726 0.587207i
\(447\) 2.69168 + 13.4520i 0.127312 + 0.636258i
\(448\) −0.539376 2.01298i −0.0254831 0.0951044i
\(449\) −6.85828 11.8789i −0.323662 0.560600i 0.657578 0.753386i \(-0.271581\pi\)
−0.981241 + 0.192787i \(0.938247\pi\)
\(450\) 14.6816 3.07436i 0.692096 0.144927i
\(451\) 8.18687 + 6.86960i 0.385504 + 0.323477i
\(452\) −0.627665 + 7.17425i −0.0295229 + 0.337448i
\(453\) 17.6649 6.89263i 0.829968 0.323844i
\(454\) 4.06346 + 11.1643i 0.190708 + 0.523965i
\(455\) −2.52338 + 18.1811i −0.118298 + 0.852344i
\(456\) 1.59729 7.37893i 0.0748000 0.345550i
\(457\) −15.3914 15.3914i −0.719978 0.719978i 0.248623 0.968600i \(-0.420022\pi\)
−0.968600 + 0.248623i \(0.920022\pi\)
\(458\) −18.4438 8.60051i −0.861824 0.401875i
\(459\) 19.3900 + 23.9912i 0.905046 + 1.11981i
\(460\) 12.6291 + 2.89284i 0.588836 + 0.134880i
\(461\) 2.69436 3.21101i 0.125489 0.149552i −0.699642 0.714494i \(-0.746657\pi\)
0.825130 + 0.564942i \(0.191102\pi\)
\(462\) 10.4191 + 11.8535i 0.484741 + 0.551474i
\(463\) −9.59628 2.57131i −0.445977 0.119499i 0.0288395 0.999584i \(-0.490819\pi\)
−0.474816 + 0.880085i \(0.657485\pi\)
\(464\) −1.68150 + 2.91245i −0.0780618 + 0.135207i
\(465\) 20.7061 1.23506i 0.960220 0.0572747i
\(466\) −28.3326 10.3122i −1.31248 0.477705i
\(467\) 0.648395 + 2.41984i 0.0300042 + 0.111977i 0.979304 0.202395i \(-0.0648726\pi\)
−0.949300 + 0.314372i \(0.898206\pi\)
\(468\) −8.73048 7.96355i −0.403567 0.368115i
\(469\) −31.4813 + 5.55100i −1.45367 + 0.256321i
\(470\) −4.71766 5.22144i −0.217609 0.240847i
\(471\) 18.8637 + 38.1425i 0.869196 + 1.75751i
\(472\) −3.98972 + 2.79363i −0.183642 + 0.128587i
\(473\) −9.47295 4.41731i −0.435567 0.203108i
\(474\) −0.995473 + 4.08830i −0.0457236 + 0.187782i
\(475\) 12.7079 + 17.7062i 0.583078 + 0.812416i
\(476\) 12.3717i 0.567056i
\(477\) 29.5363 22.7710i 1.35238 1.04261i
\(478\) −3.13734 4.48058i −0.143498 0.204937i
\(479\) −4.78323 + 4.01360i −0.218551 + 0.183386i −0.745490 0.666517i \(-0.767784\pi\)
0.526938 + 0.849903i \(0.323340\pi\)
\(480\) −3.40643 + 1.84289i −0.155482 + 0.0841159i
\(481\) 1.37970 + 7.82465i 0.0629088 + 0.356773i
\(482\) −5.07320 1.35936i −0.231078 0.0619171i
\(483\) 0.480034 + 20.9091i 0.0218423 + 0.951396i
\(484\) 2.77583 7.62654i 0.126174 0.346661i
\(485\) −24.3101 + 7.47798i −1.10386 + 0.339558i
\(486\) −15.4203 2.28370i −0.699478 0.103591i
\(487\) 1.65561 6.17883i 0.0750229 0.279989i −0.918216 0.396081i \(-0.870370\pi\)
0.993239 + 0.116092i \(0.0370366\pi\)
\(488\) 4.54972 6.49767i 0.205956 0.294136i
\(489\) 1.65524 + 2.25208i 0.0748525 + 0.101843i
\(490\) 1.32654 5.79121i 0.0599270 0.261620i
\(491\) −35.6958 6.29414i −1.61093 0.284050i −0.705552 0.708658i \(-0.749301\pi\)
−0.905378 + 0.424607i \(0.860412\pi\)
\(492\) −3.30485 2.64625i −0.148994 0.119302i
\(493\) 14.1171 14.1171i 0.635803 0.635803i
\(494\) 5.45632 16.2795i 0.245492 0.732451i
\(495\) 16.9363 23.9454i 0.761230 1.07627i
\(496\) −5.03279 + 1.83179i −0.225979 + 0.0822496i
\(497\) −14.3958 20.5594i −0.645740 0.922213i
\(498\) −3.94085 1.33274i −0.176594 0.0597215i
\(499\) −3.24339 + 3.86532i −0.145194 + 0.173035i −0.833740 0.552157i \(-0.813805\pi\)
0.688546 + 0.725193i \(0.258249\pi\)
\(500\) 2.64888 10.8620i 0.118462 0.485764i
\(501\) −9.16388 31.3072i −0.409412 1.39870i
\(502\) −25.4423 + 6.81726i −1.13555 + 0.304269i
\(503\) 2.56918 + 5.50963i 0.114554 + 0.245662i 0.955223 0.295888i \(-0.0956154\pi\)
−0.840668 + 0.541550i \(0.817838\pi\)
\(504\) −4.23425 4.59982i −0.188608 0.204892i
\(505\) 12.4501 15.9919i 0.554024 0.711632i
\(506\) 21.9393 12.6666i 0.975319 0.563101i
\(507\) −2.87648 3.27248i −0.127749 0.145336i
\(508\) −18.5564 + 1.62347i −0.823306 + 0.0720299i
\(509\) −14.5783 + 12.2327i −0.646173 + 0.542203i −0.905907 0.423477i \(-0.860809\pi\)
0.259734 + 0.965680i \(0.416365\pi\)
\(510\) 22.3649 5.33365i 0.990336 0.236178i
\(511\) 9.86973 3.59229i 0.436611 0.158913i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −6.02088 21.8346i −0.265829 0.964020i
\(514\) 17.0049i 0.750054i
\(515\) −3.09365 2.00150i −0.136323 0.0881968i
\(516\) 3.79191 + 1.66333i 0.166929 + 0.0732242i
\(517\) −13.7071 1.19922i −0.602839 0.0527416i
\(518\) 0.366372 + 4.18765i 0.0160975 + 0.183995i
\(519\) −27.9967 1.80302i −1.22892 0.0791439i
\(520\) −8.16078 + 3.31347i −0.357874 + 0.145305i
\(521\) −26.5534 15.3306i −1.16333 0.671647i −0.211228 0.977437i \(-0.567746\pi\)
−0.952099 + 0.305789i \(0.901080\pi\)
\(522\) −0.417145 + 10.0804i −0.0182579 + 0.441207i
\(523\) 12.6413 5.89475i 0.552767 0.257759i −0.126104 0.992017i \(-0.540247\pi\)
0.678871 + 0.734258i \(0.262470\pi\)
\(524\) −2.26337 + 3.92027i −0.0988757 + 0.171258i
\(525\) 18.0472 0.161223i 0.787643 0.00703636i
\(526\) −3.67037 20.8157i −0.160036 0.907608i
\(527\) 31.6738 2.77110i 1.37973 0.120711i
\(528\) −2.42605 + 7.17372i −0.105580 + 0.312196i
\(529\) 10.4121 + 1.83593i 0.452699 + 0.0798230i
\(530\) −5.82619 27.1806i −0.253073 1.18065i
\(531\) −6.71741 + 12.9760i −0.291511 + 0.563111i
\(532\) 3.62646 8.32863i 0.157227 0.361092i
\(533\) −6.80821 6.80821i −0.294896 0.294896i
\(534\) −11.6238 + 1.28639i −0.503009 + 0.0556676i
\(535\) −16.4216 + 8.40278i −0.709970 + 0.363284i
\(536\) −9.85990 11.7506i −0.425883 0.507548i
\(537\) −5.04448 + 33.0243i −0.217686 + 1.42511i
\(538\) −7.19928 5.04099i −0.310383 0.217333i
\(539\) −5.80841 10.0605i −0.250186 0.433335i
\(540\) −6.48986 + 9.63752i −0.279279 + 0.414733i
\(541\) −4.90101 1.78382i −0.210711 0.0766925i 0.234508 0.972114i \(-0.424652\pi\)
−0.445219 + 0.895422i \(0.646874\pi\)
\(542\) 17.4535 8.13872i 0.749694 0.349588i
\(543\) −23.8074 + 0.546573i −1.02167 + 0.0234557i
\(544\) −5.14120 + 2.96827i −0.220427 + 0.127264i
\(545\) 0.282368 + 7.70674i 0.0120953 + 0.330120i
\(546\) −8.42029 11.4565i −0.360355 0.490292i
\(547\) −9.53609 0.834300i −0.407734 0.0356721i −0.118556 0.992947i \(-0.537826\pi\)
−0.289178 + 0.957275i \(0.593382\pi\)
\(548\) 5.57971 3.90696i 0.238353 0.166897i
\(549\) 3.05240 23.6000i 0.130273 1.00722i
\(550\) −10.6639 19.0835i −0.454712 0.813723i
\(551\) −13.6417 + 5.36556i −0.581158 + 0.228581i
\(552\) −8.57383 + 5.21608i −0.364926 + 0.222011i
\(553\) −2.13960 + 4.58839i −0.0909852 + 0.195118i
\(554\) −0.671127 + 3.80615i −0.0285135 + 0.161708i
\(555\) 7.41228 2.46768i 0.314634 0.104747i
\(556\) 2.39114 + 2.00640i 0.101407 + 0.0850904i
\(557\) −2.74252 1.92033i −0.116204 0.0813672i 0.514030 0.857772i \(-0.328152\pi\)
−0.630234 + 0.776405i \(0.717041\pi\)
\(558\) −10.8280 + 11.8708i −0.458384 + 0.502529i
\(559\) 8.15501 + 4.70830i 0.344920 + 0.199140i
\(560\) −4.45398 + 1.37008i −0.188215 + 0.0578965i
\(561\) 24.9340 37.4084i 1.05271 1.57938i
\(562\) 14.1123 3.78139i 0.595293 0.159508i
\(563\) 6.41133 23.9274i 0.270205 1.00842i −0.688781 0.724969i \(-0.741854\pi\)
0.958987 0.283451i \(-0.0914794\pi\)
\(564\) 5.43959 + 0.350316i 0.229048 + 0.0147510i
\(565\) 16.0827 + 0.815186i 0.676606 + 0.0342951i
\(566\) 16.6379 + 19.8283i 0.699344 + 0.833445i
\(567\) −17.6538 6.33464i −0.741390 0.266030i
\(568\) 5.08976 10.9150i 0.213562 0.457984i
\(569\) 1.81030 0.0758915 0.0379458 0.999280i \(-0.487919\pi\)
0.0379458 + 0.999280i \(0.487919\pi\)
\(570\) −16.6195 2.96512i −0.696115 0.124195i
\(571\) 5.11268 0.213959 0.106980 0.994261i \(-0.465882\pi\)
0.106980 + 0.994261i \(0.465882\pi\)
\(572\) −7.27829 + 15.6084i −0.304321 + 0.652618i
\(573\) −12.1625 31.1708i −0.508095 1.30218i
\(574\) −3.27438 3.90225i −0.136670 0.162877i
\(575\) 5.43028 28.4575i 0.226458 1.18676i
\(576\) 0.895606 2.86320i 0.0373169 0.119300i
\(577\) −5.54401 + 20.6905i −0.230800 + 0.861358i 0.749197 + 0.662347i \(0.230440\pi\)
−0.979997 + 0.199011i \(0.936227\pi\)
\(578\) 17.6209 4.72152i 0.732935 0.196389i
\(579\) −34.7697 23.1752i −1.44498 0.963129i
\(580\) 6.64574 + 3.51898i 0.275949 + 0.146118i
\(581\) −4.33481 2.50270i −0.179838 0.103830i
\(582\) 9.45644 17.2834i 0.391982 0.716420i
\(583\) −44.5238 31.1759i −1.84399 1.29117i
\(584\) 3.86080 + 3.23960i 0.159761 + 0.134056i
\(585\) −17.0803 + 20.1609i −0.706184 + 0.833549i
\(586\) 0.543014 3.07959i 0.0224317 0.127217i
\(587\) −3.94960 + 8.46995i −0.163017 + 0.349592i −0.970801 0.239888i \(-0.922889\pi\)
0.807783 + 0.589480i \(0.200667\pi\)
\(588\) 2.39188 + 3.93161i 0.0986396 + 0.162137i
\(589\) −22.1351 7.41891i −0.912062 0.305691i
\(590\) 6.56921 + 8.68658i 0.270450 + 0.357621i
\(591\) 46.9011 5.19051i 1.92925 0.213509i
\(592\) −1.65232 + 1.15697i −0.0679101 + 0.0475512i
\(593\) 15.4860 + 1.35485i 0.635935 + 0.0556371i 0.400564 0.916269i \(-0.368814\pi\)
0.235370 + 0.971906i \(0.424370\pi\)
\(594\) 3.53262 + 22.4422i 0.144945 + 0.920815i
\(595\) 27.6454 1.01290i 1.13335 0.0415250i
\(596\) −6.85933 + 3.96023i −0.280969 + 0.162218i
\(597\) 0.372108 + 16.2081i 0.0152294 + 0.663353i
\(598\) −20.6848 + 9.64549i −0.845865 + 0.394433i
\(599\) −12.0540 4.38730i −0.492513 0.179260i 0.0838105 0.996482i \(-0.473291\pi\)
−0.576324 + 0.817222i \(0.695513\pi\)
\(600\) 4.39695 + 7.46102i 0.179505 + 0.304595i
\(601\) −7.99821 13.8533i −0.326254 0.565088i 0.655512 0.755185i \(-0.272453\pi\)
−0.981765 + 0.190097i \(0.939120\pi\)
\(602\) 4.08105 + 2.85758i 0.166331 + 0.116466i
\(603\) −42.5549 17.5135i −1.73297 0.713205i
\(604\) 7.03704 + 8.38642i 0.286333 + 0.341239i
\(605\) −17.2693 5.57838i −0.702096 0.226793i
\(606\) 1.72682 + 15.6034i 0.0701471 + 0.633846i
\(607\) 27.7267 + 27.7267i 1.12539 + 1.12539i 0.990917 + 0.134474i \(0.0429345\pi\)
0.134474 + 0.990917i \(0.457066\pi\)
\(608\) 4.33113 0.491224i 0.175651 0.0199218i
\(609\) −2.87186 + 11.7944i −0.116374 + 0.477934i
\(610\) −14.8920 9.63468i −0.602959 0.390097i
\(611\) 12.2078 + 2.15257i 0.493876 + 0.0870836i
\(612\) −9.53491 + 15.0422i −0.385426 + 0.608046i
\(613\) 19.7818 1.73069i 0.798981 0.0699018i 0.319650 0.947536i \(-0.396435\pi\)
0.479331 + 0.877634i \(0.340879\pi\)
\(614\) −1.45004 8.22360i −0.0585190 0.331878i
\(615\) −5.64265 + 7.60158i −0.227534 + 0.306525i
\(616\) −4.55579 + 7.89087i −0.183558 + 0.317932i
\(617\) 15.6192 7.28337i 0.628807 0.293218i −0.0819700 0.996635i \(-0.526121\pi\)
0.710777 + 0.703417i \(0.248343\pi\)
\(618\) 2.79865 0.559996i 0.112578 0.0225263i
\(619\) 30.8682 + 17.8217i 1.24070 + 0.716316i 0.969236 0.246133i \(-0.0791602\pi\)
0.271460 + 0.962450i \(0.412493\pi\)
\(620\) 4.50530 + 11.0961i 0.180937 + 0.445632i
\(621\) −15.5310 + 25.7924i −0.623240 + 1.03501i
\(622\) 1.22240 + 13.9721i 0.0490139 + 0.560232i
\(623\) −14.0175 1.22637i −0.561598 0.0491334i
\(624\) 2.74063 6.24783i 0.109713 0.250114i
\(625\) −24.4888 5.02980i −0.979552 0.201192i
\(626\) 27.5127i 1.09963i
\(627\) −27.7509 + 17.8745i −1.10826 + 0.713840i
\(628\) −17.3719 + 17.3719i −0.693213 + 0.693213i
\(629\) 11.2525 4.09559i 0.448668 0.163302i
\(630\) −9.93194 + 9.83831i −0.395698 + 0.391968i
\(631\) 33.1656 27.8293i 1.32030 1.10786i 0.334061 0.942551i \(-0.391581\pi\)
0.986241 0.165314i \(-0.0528636\pi\)
\(632\) −2.42010 + 0.211731i −0.0962664 + 0.00842222i
\(633\) 8.67841 7.62824i 0.344936 0.303195i
\(634\) 18.3799 10.6117i 0.729961 0.421443i
\(635\) 5.14702 + 41.3326i 0.204253 + 1.64023i
\(636\) 17.9170 + 11.9423i 0.710456 + 0.473543i
\(637\) 4.42303 + 9.48522i 0.175247 + 0.375818i
\(638\) 14.2027 3.80559i 0.562289 0.150665i
\(639\) −1.65809 36.0921i −0.0655931 1.42778i
\(640\) −1.63797 1.52219i −0.0647465 0.0601697i
\(641\) −6.51298 + 7.76186i −0.257247 + 0.306575i −0.879175 0.476500i \(-0.841905\pi\)
0.621928 + 0.783075i \(0.286350\pi\)
\(642\) 4.57755 13.5356i 0.180662 0.534207i
\(643\) −8.92612 12.7478i −0.352012 0.502725i 0.603627 0.797267i \(-0.293722\pi\)
−0.955638 + 0.294542i \(0.904833\pi\)
\(644\) −11.3468 + 4.12991i −0.447128 + 0.162741i
\(645\) 3.40638 8.60946i 0.134126 0.338997i
\(646\) −25.5906 3.83794i −1.00685 0.151002i
\(647\) 8.96022 8.96022i 0.352263 0.352263i −0.508688 0.860951i \(-0.669869\pi\)
0.860951 + 0.508688i \(0.169869\pi\)
\(648\) −1.60315 8.85607i −0.0629775 0.347899i
\(649\) 20.9714 + 3.69783i 0.823200 + 0.145152i
\(650\) 8.07233 + 17.9645i 0.316623 + 0.704628i
\(651\) −15.5773 + 11.4490i −0.610521 + 0.448721i
\(652\) −0.925557 + 1.32183i −0.0362476 + 0.0517670i
\(653\) −5.38657 + 20.1030i −0.210793 + 0.786690i 0.776812 + 0.629732i \(0.216835\pi\)
−0.987605 + 0.156958i \(0.949831\pi\)
\(654\) −4.31982 4.12592i −0.168918 0.161336i
\(655\) 8.94542 + 4.73669i 0.349526 + 0.185078i
\(656\) 0.836021 2.29695i 0.0326411 0.0896807i
\(657\) 14.7688 + 3.23892i 0.576184 + 0.126362i
\(658\) 6.33496 + 1.69745i 0.246962 + 0.0661733i
\(659\) −2.39202 13.5658i −0.0931801 0.528450i −0.995290 0.0969438i \(-0.969093\pi\)
0.902110 0.431507i \(-0.142018\pi\)
\(660\) 16.2288 + 4.83385i 0.631705 + 0.188157i
\(661\) −8.46126 + 7.09984i −0.329105 + 0.276152i −0.792335 0.610086i \(-0.791135\pi\)
0.463230 + 0.886238i \(0.346690\pi\)
\(662\) −12.6482 18.0635i −0.491586 0.702058i
\(663\) −25.3152 + 31.6157i −0.983163 + 1.22785i
\(664\) 2.40184i 0.0932094i
\(665\) −18.9078 7.42169i −0.733213 0.287801i
\(666\) −2.78198 + 5.37395i −0.107800 + 0.208236i
\(667\) 17.6602 + 8.23510i 0.683807 + 0.318864i
\(668\) 15.4276 10.8025i 0.596913 0.417963i
\(669\) 20.4890 10.1330i 0.792150 0.391766i
\(670\) −25.4502 + 22.9947i −0.983227 + 0.888362i
\(671\) −34.1541 + 6.02229i −1.31851 + 0.232488i
\(672\) 1.73257 3.16659i 0.0668352 0.122154i
\(673\) 5.12645 + 19.1322i 0.197610 + 0.737491i 0.991576 + 0.129528i \(0.0413462\pi\)
−0.793966 + 0.607962i \(0.791987\pi\)
\(674\) −18.8689 6.86772i −0.726803 0.264535i
\(675\) 22.0670 + 13.7130i 0.849361 + 0.527813i
\(676\) 1.25775 2.17849i 0.0483750 0.0837880i
\(677\) 33.4492 + 8.96269i 1.28556 + 0.344464i 0.835971 0.548773i \(-0.184905\pi\)
0.449586 + 0.893237i \(0.351572\pi\)
\(678\) −9.36881 + 8.23510i −0.359807 + 0.316267i
\(679\) 15.2369 18.1586i 0.584739 0.696865i
\(680\) 7.05373 + 11.2453i 0.270498 + 0.431239i
\(681\) −8.26633 + 18.8448i −0.316767 + 0.722134i
\(682\) 21.2225 + 9.89623i 0.812653 + 0.378946i
\(683\) −1.97078 1.97078i −0.0754097 0.0754097i 0.668396 0.743806i \(-0.266981\pi\)
−0.743806 + 0.668396i \(0.766981\pi\)
\(684\) 10.8282 7.33150i 0.414025 0.280327i
\(685\) −9.18719 12.1484i −0.351024 0.464166i
\(686\) 6.88318 + 18.9114i 0.262801 + 0.722040i
\(687\) −12.8126 32.8370i −0.488833 1.25281i
\(688\) −0.208357 + 2.38153i −0.00794352 + 0.0907948i
\(689\) 37.5116 + 31.4760i 1.42908 + 1.19914i
\(690\) 12.3577 + 18.7318i 0.470448 + 0.713106i
\(691\) 1.34383 + 2.32758i 0.0511217 + 0.0885453i 0.890454 0.455074i \(-0.150387\pi\)
−0.839332 + 0.543619i \(0.817054\pi\)
\(692\) −4.19220 15.6455i −0.159363 0.594752i
\(693\) −1.13020 + 27.3114i −0.0429326 + 1.03747i
\(694\) −8.57968 + 23.5725i −0.325680 + 0.894799i
\(695\) 4.28767 5.50743i 0.162641 0.208909i
\(696\) −5.59033 + 1.63634i −0.211901 + 0.0620251i
\(697\) −8.32320 + 11.8868i −0.315264 + 0.450243i
\(698\) 1.74892 + 19.9902i 0.0661976 + 0.756642i
\(699\) −23.1509 46.8111i −0.875648 1.77056i
\(700\) 3.42620 + 9.84056i 0.129498 + 0.371938i
\(701\) −10.7622 29.5688i −0.406481 1.11680i −0.959027 0.283316i \(-0.908566\pi\)
0.552545 0.833483i \(-0.313657\pi\)
\(702\) −1.40833 20.4190i −0.0531539 0.770665i
\(703\) −8.77573 0.541256i −0.330983 0.0204139i
\(704\) −4.37218 −0.164783
\(705\) 0.337451 12.1838i 0.0127091 0.458869i
\(706\) −4.95302 + 28.0900i −0.186409 + 1.05718i
\(707\) −1.64624 + 18.8167i −0.0619134 + 0.707673i
\(708\) −8.33931 1.27383i −0.313411 0.0478736i
\(709\) 2.52012 0.444365i 0.0946450 0.0166885i −0.126125 0.992014i \(-0.540254\pi\)
0.220770 + 0.975326i \(0.429143\pi\)
\(710\) −24.8071 10.4798i −0.930993 0.393299i
\(711\) −6.13774 + 3.92983i −0.230183 + 0.147380i
\(712\) −2.85350 6.11935i −0.106939 0.229332i
\(713\) 13.1149 + 28.1249i 0.491156 + 1.05329i
\(714\) −14.8004 + 15.4960i −0.553891 + 0.579922i
\(715\) 35.4738 + 14.9859i 1.32665 + 0.560443i
\(716\) −18.9947 + 3.34929i −0.709867 + 0.125169i
\(717\) 1.43055 9.36530i 0.0534250 0.349754i
\(718\) −2.03739 + 23.2875i −0.0760347 + 0.869081i
\(719\) −5.89838 + 33.4514i −0.219973 + 1.24753i 0.652094 + 0.758138i \(0.273891\pi\)
−0.872066 + 0.489388i \(0.837220\pi\)
\(720\) −6.47133 1.76688i −0.241172 0.0658476i
\(721\) 3.43406 0.127891
\(722\) 16.1026 + 10.0850i 0.599277 + 0.375323i
\(723\) −4.72813 7.77177i −0.175841 0.289035i
\(724\) −4.70237 12.9197i −0.174762 0.480155i
\(725\) 7.31931 15.1385i 0.271832 0.562228i
\(726\) 12.6005 6.23172i 0.467650 0.231281i
\(727\) 0.532980 + 6.09199i 0.0197671 + 0.225940i 0.999652 + 0.0263762i \(0.00839679\pi\)
−0.979885 + 0.199563i \(0.936048\pi\)
\(728\) 4.70836 6.72424i 0.174504 0.249217i
\(729\) −16.5824 21.3079i −0.614162 0.789180i
\(730\) 6.92301 8.89246i 0.256232 0.329125i
\(731\) 4.85396 13.3362i 0.179530 0.493255i
\(732\) 13.4719 2.69567i 0.497936 0.0996346i
\(733\) −0.525452 1.96101i −0.0194080 0.0724317i 0.955543 0.294853i \(-0.0952707\pi\)
−0.974951 + 0.222421i \(0.928604\pi\)
\(734\) −12.3861 21.4534i −0.457179 0.791858i
\(735\) 8.58963 5.66672i 0.316833 0.209020i
\(736\) −4.43861 3.72444i −0.163609 0.137285i
\(737\) −5.84520 + 66.8110i −0.215311 + 2.46101i
\(738\) −0.973697 7.26815i −0.0358423 0.267544i
\(739\) 11.4749 + 31.5271i 0.422113 + 1.15974i 0.950495 + 0.310739i \(0.100576\pi\)
−0.528383 + 0.849006i \(0.677201\pi\)
\(740\) 2.72061 + 3.59751i 0.100012 + 0.132247i
\(741\) 26.3096 13.8632i 0.966508 0.509277i
\(742\) 18.3193 + 18.3193i 0.672524 + 0.672524i
\(743\) 4.09400 + 1.90906i 0.150194 + 0.0700367i 0.496262 0.868173i \(-0.334706\pi\)
−0.346068 + 0.938209i \(0.612483\pi\)
\(744\) −8.49512 3.72641i −0.311446 0.136617i
\(745\) 9.41101 + 15.0034i 0.344793 + 0.549682i
\(746\) 3.12838 3.72825i 0.114538 0.136501i
\(747\) −3.34167 6.38378i −0.122265 0.233570i
\(748\) 25.0712 + 6.71782i 0.916695 + 0.245628i
\(749\) 8.59602 14.8887i 0.314092 0.544023i
\(750\) 16.3122 10.4361i 0.595636 0.381074i
\(751\) −20.5652 7.48512i −0.750435 0.273136i −0.0616459 0.998098i \(-0.519635\pi\)
−0.688789 + 0.724962i \(0.741857\pi\)
\(752\) 0.814517 + 3.03982i 0.0297024 + 0.110851i
\(753\) −40.0229 21.8981i −1.45852 0.798013i
\(754\) −13.0455 + 2.30028i −0.475091 + 0.0837713i
\(755\) 18.1639 16.4114i 0.661052 0.597271i
\(756\) 0.199282 10.8269i 0.00724781 0.393771i
\(757\) −25.2525 + 17.6820i −0.917816 + 0.642662i −0.934025 0.357207i \(-0.883729\pi\)
0.0162091 + 0.999869i \(0.494840\pi\)
\(758\) 7.16993 + 3.34339i 0.260423 + 0.121437i
\(759\) 42.6329 + 10.3808i 1.54748 + 0.376800i
\(760\) −1.45228 9.63799i −0.0526796 0.349607i
\(761\) 35.2823i 1.27898i 0.768799 + 0.639491i \(0.220855\pi\)
−0.768799 + 0.639491i \(0.779145\pi\)
\(762\) −25.1846 20.1658i −0.912343 0.730528i
\(763\) −4.12253 5.88758i −0.149246 0.213145i
\(764\) 14.7984 12.4173i 0.535386 0.449242i
\(765\) 34.3935 + 20.0749i 1.24350 + 0.725808i
\(766\) −3.79629 21.5298i −0.137165 0.777904i
\(767\) −18.5313 4.96543i −0.669125 0.179291i
\(768\) 1.73159 0.0397542i 0.0624835 0.00143451i
\(769\) 4.93257 13.5521i 0.177873 0.488702i −0.818430 0.574606i \(-0.805155\pi\)
0.996303 + 0.0859036i \(0.0273777\pi\)
\(770\) 18.0057 + 9.53419i 0.648880 + 0.343588i
\(771\) −20.3432 + 21.2992i −0.732641 + 0.767072i
\(772\) 6.24397 23.3028i 0.224725 0.838686i
\(773\) −11.4891 + 16.4082i −0.413235 + 0.590160i −0.970776 0.239989i \(-0.922856\pi\)
0.557541 + 0.830149i