Properties

Label 392.2.z.a.37.10
Level $392$
Weight $2$
Character 392.37
Analytic conductor $3.130$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 392 = 2^{3} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 392.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.13013575923\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 37.10
Character \(\chi\) \(=\) 392.37
Dual form 392.2.z.a.53.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.23135 + 0.695533i) q^{2} +(1.73400 + 1.86880i) q^{3} +(1.03247 - 1.71290i) q^{4} +(0.880547 - 2.85466i) q^{5} +(-3.43498 - 1.09511i) q^{6} +(-1.33854 - 2.28217i) q^{7} +(-0.0799587 + 2.82730i) q^{8} +(-0.261493 + 3.48939i) q^{9} +O(q^{10})\) \(q+(-1.23135 + 0.695533i) q^{2} +(1.73400 + 1.86880i) q^{3} +(1.03247 - 1.71290i) q^{4} +(0.880547 - 2.85466i) q^{5} +(-3.43498 - 1.09511i) q^{6} +(-1.33854 - 2.28217i) q^{7} +(-0.0799587 + 2.82730i) q^{8} +(-0.261493 + 3.48939i) q^{9} +(0.901247 + 4.12755i) q^{10} +(1.69662 - 0.127144i) q^{11} +(4.99136 - 1.04067i) q^{12} +(0.482883 - 1.00272i) q^{13} +(3.23554 + 1.87917i) q^{14} +(6.86167 - 3.30441i) q^{15} +(-1.86802 - 3.53702i) q^{16} +(2.79033 + 0.420575i) q^{17} +(-2.10499 - 4.47855i) q^{18} +(0.392754 + 0.226756i) q^{19} +(-3.98060 - 4.45563i) q^{20} +(1.94391 - 6.45875i) q^{21} +(-2.00071 + 1.33661i) q^{22} +(7.01574 - 1.05745i) q^{23} +(-5.42231 + 4.75310i) q^{24} +(-3.24254 - 2.21073i) q^{25} +(0.102823 + 1.57056i) q^{26} +(-0.994929 + 0.793429i) q^{27} +(-5.29112 - 0.0634917i) q^{28} +(-6.88030 - 5.48685i) q^{29} +(-6.15082 + 8.84141i) q^{30} +(4.94919 + 8.57224i) q^{31} +(4.76031 + 3.05605i) q^{32} +(3.17954 + 2.95018i) q^{33} +(-3.72841 + 1.42289i) q^{34} +(-7.69348 + 1.81152i) q^{35} +(5.70697 + 4.05059i) q^{36} +(-9.08232 + 3.56455i) q^{37} +(-0.641335 - 0.00604443i) q^{38} +(2.71120 - 0.836294i) q^{39} +(8.00057 + 2.71782i) q^{40} +(-0.419516 - 1.83802i) q^{41} +(2.09863 + 9.30506i) q^{42} +(3.27731 + 0.748024i) q^{43} +(1.53392 - 3.03740i) q^{44} +(9.73077 + 3.81904i) q^{45} +(-7.90337 + 6.18178i) q^{46} +(-2.83115 + 1.93025i) q^{47} +(3.37085 - 9.62414i) q^{48} +(-3.41662 + 6.10956i) q^{49} +(5.53035 + 0.466894i) q^{50} +(4.05245 + 5.94385i) q^{51} +(-1.21899 - 1.86240i) q^{52} +(7.46464 + 2.92966i) q^{53} +(0.673254 - 1.66900i) q^{54} +(1.13100 - 4.95523i) q^{55} +(6.55941 - 3.60197i) q^{56} +(0.257270 + 1.12717i) q^{57} +(12.2884 + 1.97079i) q^{58} +(-3.14841 - 10.2069i) q^{59} +(1.42435 - 15.1650i) q^{60} +(-6.55445 + 2.57243i) q^{61} +(-12.0565 - 7.11315i) q^{62} +(8.31340 - 4.07391i) q^{63} +(-7.98721 - 0.452134i) q^{64} +(-2.43722 - 2.26141i) q^{65} +(-5.96708 - 1.42124i) q^{66} +(-7.66481 + 4.42528i) q^{67} +(3.60133 - 4.34531i) q^{68} +(14.1414 + 11.2774i) q^{69} +(8.21343 - 7.58169i) q^{70} +(-0.596399 - 0.747861i) q^{71} +(-9.84462 - 1.01833i) q^{72} +(-7.21886 - 4.92174i) q^{73} +(8.70430 - 10.7063i) q^{74} +(-1.49114 - 9.89306i) q^{75} +(0.793915 - 0.438627i) q^{76} +(-2.56116 - 3.70179i) q^{77} +(-2.75678 + 2.91550i) q^{78} +(-4.98291 + 8.63065i) q^{79} +(-11.7419 + 2.21806i) q^{80} +(7.17230 + 1.08105i) q^{81} +(1.79497 + 1.97146i) q^{82} +(1.02290 + 2.12407i) q^{83} +(-9.05613 - 9.99816i) q^{84} +(3.65761 - 7.59512i) q^{85} +(-4.55580 + 1.35839i) q^{86} +(-1.67656 - 22.3721i) q^{87} +(0.223814 + 4.80701i) q^{88} +(-1.13399 + 15.1321i) q^{89} +(-14.6383 + 2.06547i) q^{90} +(-2.93473 + 0.240154i) q^{91} +(5.43222 - 13.1090i) q^{92} +(-7.43797 + 24.1133i) q^{93} +(2.14360 - 4.34598i) q^{94} +(0.993151 - 0.921509i) q^{95} +(2.54319 + 14.1953i) q^{96} -9.10282 q^{97} +(-0.0423227 - 9.89940i) q^{98} +5.95341i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 13 q^{2} - 13 q^{4} - 6 q^{6} - 24 q^{7} - 16 q^{8} - 76 q^{9} - 6 q^{10} - 47 q^{12} - 33 q^{14} - 8 q^{15} - 17 q^{16} - 26 q^{17} - 8 q^{18} - 22 q^{20} - 18 q^{22} - 26 q^{23} - 74 q^{24} - 72 q^{25} - 12 q^{26} + 2 q^{28} - 11 q^{30} + 60 q^{31} - 13 q^{32} - 14 q^{33} - 18 q^{34} + 8 q^{36} - 46 q^{38} - 32 q^{39} + 32 q^{40} - 20 q^{41} - 36 q^{42} + 38 q^{44} - 22 q^{46} - 58 q^{47} + 28 q^{48} - 16 q^{49} - 132 q^{50} + 18 q^{52} - 37 q^{54} - 32 q^{55} + 96 q^{56} - 66 q^{57} + 100 q^{60} + 28 q^{62} - 72 q^{63} - 28 q^{64} - 36 q^{65} - 4 q^{66} - 11 q^{68} - 36 q^{70} + 60 q^{71} - 130 q^{72} - 18 q^{73} - 12 q^{74} + 11 q^{76} - 132 q^{78} - 12 q^{79} - 64 q^{80} - 58 q^{81} + 152 q^{82} - 224 q^{84} + 55 q^{86} - 8 q^{87} - 169 q^{88} - 18 q^{89} + 144 q^{90} - 54 q^{92} + 154 q^{94} - 64 q^{95} - 142 q^{96} - 96 q^{97} + 151 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(297\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{16}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.23135 + 0.695533i −0.870699 + 0.491816i
\(3\) 1.73400 + 1.86880i 1.00112 + 1.07895i 0.996878 + 0.0789634i \(0.0251610\pi\)
0.00424585 + 0.999991i \(0.498648\pi\)
\(4\) 1.03247 1.71290i 0.516234 0.856448i
\(5\) 0.880547 2.85466i 0.393792 1.27664i −0.514205 0.857667i \(-0.671913\pi\)
0.907997 0.418976i \(-0.137611\pi\)
\(6\) −3.43498 1.09511i −1.40232 0.447076i
\(7\) −1.33854 2.28217i −0.505920 0.862580i
\(8\) −0.0799587 + 2.82730i −0.0282697 + 0.999600i
\(9\) −0.261493 + 3.48939i −0.0871645 + 1.16313i
\(10\) 0.901247 + 4.12755i 0.284999 + 1.30525i
\(11\) 1.69662 0.127144i 0.511550 0.0383353i 0.183545 0.983011i \(-0.441243\pi\)
0.328005 + 0.944676i \(0.393624\pi\)
\(12\) 4.99136 1.04067i 1.44088 0.300417i
\(13\) 0.482883 1.00272i 0.133928 0.278104i −0.823210 0.567737i \(-0.807819\pi\)
0.957138 + 0.289633i \(0.0935333\pi\)
\(14\) 3.23554 + 1.87917i 0.864735 + 0.502228i
\(15\) 6.86167 3.30441i 1.77168 0.853194i
\(16\) −1.86802 3.53702i −0.467005 0.884255i
\(17\) 2.79033 + 0.420575i 0.676754 + 0.102004i 0.478421 0.878130i \(-0.341209\pi\)
0.198333 + 0.980135i \(0.436447\pi\)
\(18\) −2.10499 4.47855i −0.496152 1.05560i
\(19\) 0.392754 + 0.226756i 0.0901038 + 0.0520215i 0.544375 0.838842i \(-0.316767\pi\)
−0.454271 + 0.890864i \(0.650100\pi\)
\(20\) −3.98060 4.45563i −0.890090 0.996309i
\(21\) 1.94391 6.45875i 0.424196 1.40941i
\(22\) −2.00071 + 1.33661i −0.426552 + 0.284967i
\(23\) 7.01574 1.05745i 1.46288 0.220494i 0.631146 0.775664i \(-0.282585\pi\)
0.831737 + 0.555170i \(0.187347\pi\)
\(24\) −5.42231 + 4.75310i −1.10682 + 0.970222i
\(25\) −3.24254 2.21073i −0.648508 0.442145i
\(26\) 0.102823 + 1.57056i 0.0201652 + 0.308012i
\(27\) −0.994929 + 0.793429i −0.191474 + 0.152696i
\(28\) −5.29112 0.0634917i −0.999928 0.0119988i
\(29\) −6.88030 5.48685i −1.27764 1.01888i −0.998276 0.0586973i \(-0.981305\pi\)
−0.279363 0.960186i \(-0.590123\pi\)
\(30\) −6.15082 + 8.84141i −1.12298 + 1.61421i
\(31\) 4.94919 + 8.57224i 0.888900 + 1.53962i 0.841177 + 0.540759i \(0.181863\pi\)
0.0477228 + 0.998861i \(0.484804\pi\)
\(32\) 4.76031 + 3.05605i 0.841512 + 0.540239i
\(33\) 3.17954 + 2.95018i 0.553486 + 0.513560i
\(34\) −3.72841 + 1.42289i −0.639417 + 0.244024i
\(35\) −7.69348 + 1.81152i −1.30044 + 0.306203i
\(36\) 5.70697 + 4.05059i 0.951162 + 0.675098i
\(37\) −9.08232 + 3.56455i −1.49312 + 0.586008i −0.964788 0.263027i \(-0.915279\pi\)
−0.528336 + 0.849035i \(0.677184\pi\)
\(38\) −0.641335 0.00604443i −0.104038 0.000980536i
\(39\) 2.71120 0.836294i 0.434139 0.133914i
\(40\) 8.00057 + 2.71782i 1.26500 + 0.429725i
\(41\) −0.419516 1.83802i −0.0655173 0.287050i 0.931547 0.363621i \(-0.118460\pi\)
−0.997064 + 0.0765714i \(0.975603\pi\)
\(42\) 2.09863 + 9.30506i 0.323826 + 1.43580i
\(43\) 3.27731 + 0.748024i 0.499785 + 0.114073i 0.464979 0.885322i \(-0.346062\pi\)
0.0348052 + 0.999394i \(0.488919\pi\)
\(44\) 1.53392 3.03740i 0.231247 0.457906i
\(45\) 9.73077 + 3.81904i 1.45058 + 0.569309i
\(46\) −7.90337 + 6.18178i −1.16529 + 0.911453i
\(47\) −2.83115 + 1.93025i −0.412966 + 0.281556i −0.751929 0.659244i \(-0.770876\pi\)
0.338963 + 0.940800i \(0.389924\pi\)
\(48\) 3.37085 9.62414i 0.486541 1.38913i
\(49\) −3.41662 + 6.10956i −0.488089 + 0.872794i
\(50\) 5.53035 + 0.466894i 0.782110 + 0.0660288i
\(51\) 4.05245 + 5.94385i 0.567457 + 0.832306i
\(52\) −1.21899 1.86240i −0.169043 0.258269i
\(53\) 7.46464 + 2.92966i 1.02535 + 0.402419i 0.817614 0.575766i \(-0.195296\pi\)
0.207733 + 0.978186i \(0.433391\pi\)
\(54\) 0.673254 1.66900i 0.0916183 0.227122i
\(55\) 1.13100 4.95523i 0.152504 0.668163i
\(56\) 6.55941 3.60197i 0.876538 0.481333i
\(57\) 0.257270 + 1.12717i 0.0340763 + 0.149298i
\(58\) 12.2884 + 1.97079i 1.61354 + 0.258777i
\(59\) −3.14841 10.2069i −0.409889 1.32883i −0.891730 0.452568i \(-0.850508\pi\)
0.481841 0.876258i \(-0.339968\pi\)
\(60\) 1.42435 15.1650i 0.183883 1.95779i
\(61\) −6.55445 + 2.57243i −0.839212 + 0.329366i −0.745725 0.666254i \(-0.767897\pi\)
−0.0934870 + 0.995620i \(0.529801\pi\)
\(62\) −12.0565 7.11315i −1.53117 0.903370i
\(63\) 8.31340 4.07391i 1.04739 0.513264i
\(64\) −7.98721 0.452134i −0.998402 0.0565167i
\(65\) −2.43722 2.26141i −0.302300 0.280493i
\(66\) −5.96708 1.42124i −0.734497 0.174943i
\(67\) −7.66481 + 4.42528i −0.936406 + 0.540634i −0.888832 0.458234i \(-0.848482\pi\)
−0.0475741 + 0.998868i \(0.515149\pi\)
\(68\) 3.60133 4.34531i 0.436725 0.526947i
\(69\) 14.1414 + 11.2774i 1.70243 + 1.35764i
\(70\) 8.21343 7.58169i 0.981692 0.906185i
\(71\) −0.596399 0.747861i −0.0707795 0.0887547i 0.745181 0.666862i \(-0.232363\pi\)
−0.815961 + 0.578107i \(0.803792\pi\)
\(72\) −9.84462 1.01833i −1.16020 0.120011i
\(73\) −7.21886 4.92174i −0.844904 0.576046i 0.0616681 0.998097i \(-0.480358\pi\)
−0.906572 + 0.422051i \(0.861310\pi\)
\(74\) 8.70430 10.7063i 1.01185 1.24458i
\(75\) −1.49114 9.89306i −0.172182 1.14235i
\(76\) 0.793915 0.438627i 0.0910683 0.0503140i
\(77\) −2.56116 3.70179i −0.291871 0.421858i
\(78\) −2.75678 + 2.91550i −0.312144 + 0.330116i
\(79\) −4.98291 + 8.63065i −0.560621 + 0.971024i 0.436821 + 0.899548i \(0.356104\pi\)
−0.997442 + 0.0714759i \(0.977229\pi\)
\(80\) −11.7419 + 2.21806i −1.31278 + 0.247986i
\(81\) 7.17230 + 1.08105i 0.796922 + 0.120117i
\(82\) 1.79497 + 1.97146i 0.198222 + 0.217712i
\(83\) 1.02290 + 2.12407i 0.112278 + 0.233147i 0.949534 0.313663i \(-0.101556\pi\)
−0.837257 + 0.546810i \(0.815842\pi\)
\(84\) −9.05613 9.99816i −0.988105 1.09089i
\(85\) 3.65761 7.59512i 0.396724 0.823806i
\(86\) −4.55580 + 1.35839i −0.491265 + 0.146479i
\(87\) −1.67656 22.3721i −0.179746 2.39854i
\(88\) 0.223814 + 4.80701i 0.0238587 + 0.512429i
\(89\) −1.13399 + 15.1321i −0.120203 + 1.60400i 0.532529 + 0.846412i \(0.321242\pi\)
−0.652732 + 0.757589i \(0.726377\pi\)
\(90\) −14.6383 + 2.06547i −1.54301 + 0.217720i
\(91\) −2.93473 + 0.240154i −0.307643 + 0.0251750i
\(92\) 5.43222 13.1090i 0.566348 1.36671i
\(93\) −7.43797 + 24.1133i −0.771281 + 2.50043i
\(94\) 2.14360 4.34598i 0.221096 0.448254i
\(95\) 0.993151 0.921509i 0.101895 0.0945449i
\(96\) 2.54319 + 14.1953i 0.259564 + 1.44880i
\(97\) −9.10282 −0.924251 −0.462125 0.886815i \(-0.652913\pi\)
−0.462125 + 0.886815i \(0.652913\pi\)
\(98\) −0.0423227 9.89940i −0.00427524 0.999991i
\(99\) 5.95341i 0.598340i
\(100\) −7.13456 + 3.27163i −0.713456 + 0.327163i
\(101\) 1.77420 + 1.91214i 0.176540 + 0.190265i 0.815123 0.579288i \(-0.196669\pi\)
−0.638583 + 0.769553i \(0.720479\pi\)
\(102\) −9.12415 4.50038i −0.903426 0.445604i
\(103\) 6.01711 + 1.85603i 0.592883 + 0.182880i 0.576654 0.816988i \(-0.304358\pi\)
0.0162285 + 0.999868i \(0.494834\pi\)
\(104\) 2.79637 + 1.44543i 0.274206 + 0.141736i
\(105\) −16.7258 11.2364i −1.63227 1.09656i
\(106\) −11.2293 + 1.58446i −1.09069 + 0.153896i
\(107\) 1.36534 + 0.102318i 0.131993 + 0.00989149i 0.140563 0.990072i \(-0.455109\pi\)
−0.00856988 + 0.999963i \(0.502728\pi\)
\(108\) 0.331829 + 2.52340i 0.0319303 + 0.242814i
\(109\) −11.2330 + 0.841795i −1.07592 + 0.0806294i −0.600885 0.799335i \(-0.705185\pi\)
−0.475039 + 0.879965i \(0.657566\pi\)
\(110\) 2.05386 + 6.88829i 0.195828 + 0.656773i
\(111\) −22.4102 10.7922i −2.12708 1.02435i
\(112\) −5.57167 + 8.99758i −0.526473 + 0.850192i
\(113\) 5.23073 2.51899i 0.492066 0.236966i −0.171360 0.985208i \(-0.554816\pi\)
0.663426 + 0.748242i \(0.269102\pi\)
\(114\) −1.10078 1.20901i −0.103097 0.113234i
\(115\) 3.15902 20.9587i 0.294580 1.95441i
\(116\) −16.5021 + 6.12023i −1.53218 + 0.568249i
\(117\) 3.37260 + 1.94717i 0.311797 + 0.180016i
\(118\) 10.9761 + 10.3785i 1.01043 + 0.955418i
\(119\) −2.77514 6.93097i −0.254397 0.635361i
\(120\) 8.79388 + 19.6642i 0.802768 + 1.79509i
\(121\) −8.01479 + 1.20804i −0.728617 + 0.109821i
\(122\) 6.28164 7.72642i 0.568713 0.699517i
\(123\) 2.70746 3.97111i 0.244123 0.358063i
\(124\) 19.7932 + 0.373126i 1.77748 + 0.0335077i
\(125\) 2.51207 2.00331i 0.224686 0.179181i
\(126\) −7.40321 + 10.7987i −0.659530 + 0.962022i
\(127\) 11.3165 14.1904i 1.00418 1.25920i 0.0385518 0.999257i \(-0.487726\pi\)
0.965625 0.259941i \(-0.0837030\pi\)
\(128\) 10.1496 4.99863i 0.897103 0.441821i
\(129\) 4.28493 + 7.42171i 0.377267 + 0.653445i
\(130\) 4.57396 + 1.08943i 0.401163 + 0.0955492i
\(131\) 2.22875 2.40202i 0.194727 0.209866i −0.628139 0.778101i \(-0.716183\pi\)
0.822866 + 0.568235i \(0.192374\pi\)
\(132\) 8.33612 2.40025i 0.725566 0.208915i
\(133\) −0.00821897 1.19985i −0.000712675 0.104041i
\(134\) 6.36017 10.7802i 0.549435 0.931269i
\(135\) 1.38889 + 3.53884i 0.119537 + 0.304575i
\(136\) −1.41220 + 7.85546i −0.121095 + 0.673600i
\(137\) 13.5084 4.16679i 1.15410 0.355993i 0.342108 0.939661i \(-0.388859\pi\)
0.811993 + 0.583668i \(0.198383\pi\)
\(138\) −25.2569 4.05067i −2.15001 0.344816i
\(139\) −2.07057 + 0.472595i −0.175624 + 0.0400850i −0.309428 0.950923i \(-0.600138\pi\)
0.133805 + 0.991008i \(0.457281\pi\)
\(140\) −4.84033 + 15.0485i −0.409082 + 1.27183i
\(141\) −8.51646 1.94383i −0.717216 0.163700i
\(142\) 1.25454 + 0.506066i 0.105279 + 0.0424682i
\(143\) 0.691779 1.76262i 0.0578495 0.147398i
\(144\) 12.8305 5.59334i 1.06921 0.466112i
\(145\) −21.7215 + 14.8095i −1.80387 + 1.22986i
\(146\) 12.3122 + 1.03945i 1.01897 + 0.0860252i
\(147\) −17.3420 + 4.20895i −1.43034 + 0.347148i
\(148\) −3.27151 + 19.2373i −0.268916 + 1.58130i
\(149\) −5.61414 8.23443i −0.459928 0.674591i 0.524292 0.851539i \(-0.324330\pi\)
−0.984220 + 0.176948i \(0.943378\pi\)
\(150\) 8.71707 + 11.1447i 0.711746 + 0.909964i
\(151\) −4.67606 + 11.9144i −0.380533 + 0.969581i 0.604406 + 0.796677i \(0.293411\pi\)
−0.984939 + 0.172905i \(0.944685\pi\)
\(152\) −0.672512 + 1.09230i −0.0545479 + 0.0885972i
\(153\) −2.19720 + 9.62657i −0.177633 + 0.778262i
\(154\) 5.72841 + 2.77685i 0.461608 + 0.223765i
\(155\) 28.8288 6.58000i 2.31559 0.528518i
\(156\) 1.36674 5.50745i 0.109427 0.440949i
\(157\) −1.78814 5.79700i −0.142709 0.462651i 0.855796 0.517313i \(-0.173068\pi\)
−0.998505 + 0.0546627i \(0.982592\pi\)
\(158\) 0.132825 14.0932i 0.0105670 1.12119i
\(159\) 7.46871 + 19.0300i 0.592307 + 1.50917i
\(160\) 12.9157 10.8981i 1.02107 0.861568i
\(161\) −11.8041 14.5957i −0.930296 1.15030i
\(162\) −9.58355 + 3.65741i −0.752955 + 0.287354i
\(163\) 16.4824 17.7639i 1.29101 1.39137i 0.414449 0.910072i \(-0.363974\pi\)
0.876556 0.481300i \(-0.159835\pi\)
\(164\) −3.58147 1.17911i −0.279666 0.0920729i
\(165\) 11.2215 6.47873i 0.873592 0.504369i
\(166\) −2.73692 1.90403i −0.212426 0.147781i
\(167\) −14.4422 + 18.1099i −1.11757 + 1.40139i −0.211956 + 0.977279i \(0.567983\pi\)
−0.905612 + 0.424107i \(0.860588\pi\)
\(168\) 18.1054 + 6.01244i 1.39686 + 0.463870i
\(169\) 7.33310 + 9.19542i 0.564085 + 0.707340i
\(170\) 0.778833 + 11.8963i 0.0597337 + 0.912402i
\(171\) −0.893943 + 1.31117i −0.0683616 + 0.100268i
\(172\) 4.66500 4.84137i 0.355703 0.369151i
\(173\) −1.52319 10.1057i −0.115806 0.768321i −0.969060 0.246826i \(-0.920612\pi\)
0.853254 0.521495i \(-0.174626\pi\)
\(174\) 17.6250 + 26.3819i 1.33615 + 2.00001i
\(175\) −0.704991 + 10.3592i −0.0532923 + 0.783081i
\(176\) −3.61903 5.76346i −0.272795 0.434437i
\(177\) 13.6154 23.5825i 1.02339 1.77257i
\(178\) −9.12853 19.4217i −0.684212 1.45572i
\(179\) −2.79668 + 18.5548i −0.209034 + 1.38685i 0.600430 + 0.799678i \(0.294996\pi\)
−0.809463 + 0.587170i \(0.800242\pi\)
\(180\) 16.5883 12.7247i 1.23642 0.948446i
\(181\) 8.00330 + 16.6190i 0.594881 + 1.23528i 0.953386 + 0.301754i \(0.0975723\pi\)
−0.358505 + 0.933528i \(0.616713\pi\)
\(182\) 3.44666 2.33692i 0.255483 0.173224i
\(183\) −16.1728 7.78840i −1.19553 0.575735i
\(184\) 2.42876 + 19.9201i 0.179051 + 1.46853i
\(185\) 2.17817 + 29.0657i 0.160143 + 2.13695i
\(186\) −7.61282 34.8654i −0.558199 2.55645i
\(187\) 4.78760 + 0.358781i 0.350104 + 0.0262367i
\(188\) 0.383238 + 6.84239i 0.0279505 + 0.499032i
\(189\) 3.14249 + 1.20856i 0.228583 + 0.0879100i
\(190\) −0.581981 + 1.82547i −0.0422213 + 0.132434i
\(191\) 10.4507 + 3.22361i 0.756185 + 0.233252i 0.648794 0.760964i \(-0.275274\pi\)
0.107392 + 0.994217i \(0.465750\pi\)
\(192\) −13.0049 15.7105i −0.938544 1.13381i
\(193\) 4.74268 4.40056i 0.341385 0.316759i −0.490784 0.871282i \(-0.663289\pi\)
0.832169 + 0.554522i \(0.187099\pi\)
\(194\) 11.2088 6.33131i 0.804744 0.454561i
\(195\) 8.47595i 0.606976i
\(196\) 6.93748 + 12.1602i 0.495534 + 0.868589i
\(197\) 16.9909i 1.21055i −0.796016 0.605276i \(-0.793063\pi\)
0.796016 0.605276i \(-0.206937\pi\)
\(198\) −4.14079 7.33075i −0.294273 0.520974i
\(199\) −3.11351 + 2.88891i −0.220711 + 0.204790i −0.782777 0.622303i \(-0.786197\pi\)
0.562066 + 0.827093i \(0.310007\pi\)
\(200\) 6.50965 8.99086i 0.460302 0.635750i
\(201\) −21.5607 6.65061i −1.52078 0.469098i
\(202\) −3.51463 1.12050i −0.247288 0.0788382i
\(203\) −3.31240 + 23.0464i −0.232485 + 1.61754i
\(204\) 14.3652 0.804587i 1.00577 0.0563323i
\(205\) −5.61632 0.420885i −0.392261 0.0293959i
\(206\) −8.70012 + 1.89966i −0.606166 + 0.132356i
\(207\) 1.85529 + 24.7571i 0.128952 + 1.72074i
\(208\) −4.44866 + 0.165130i −0.308459 + 0.0114497i
\(209\) 0.695184 + 0.334783i 0.0480869 + 0.0231574i
\(210\) 28.4107 + 2.20266i 1.96053 + 0.151998i
\(211\) 8.43679 + 17.5192i 0.580812 + 1.20607i 0.959805 + 0.280669i \(0.0905564\pi\)
−0.378992 + 0.925400i \(0.623729\pi\)
\(212\) 12.7252 9.76137i 0.873970 0.670414i
\(213\) 0.363451 2.41134i 0.0249033 0.165222i
\(214\) −1.75239 + 0.823651i −0.119791 + 0.0563036i
\(215\) 5.02118 8.69693i 0.342441 0.593126i
\(216\) −2.16371 2.87640i −0.147222 0.195714i
\(217\) 12.9387 22.7692i 0.878333 1.54567i
\(218\) 13.2463 8.84945i 0.897151 0.599361i
\(219\) −3.31972 22.0249i −0.224326 1.48831i
\(220\) −7.32007 7.05340i −0.493519 0.475540i
\(221\) 1.76912 2.59482i 0.119004 0.174547i
\(222\) 35.1012 2.29803i 2.35584 0.154233i
\(223\) −2.63725 3.30701i −0.176603 0.221453i 0.685649 0.727932i \(-0.259518\pi\)
−0.862253 + 0.506479i \(0.830947\pi\)
\(224\) 0.602581 14.9545i 0.0402616 0.999189i
\(225\) 8.56198 10.7364i 0.570799 0.715759i
\(226\) −4.68884 + 6.73991i −0.311897 + 0.448332i
\(227\) −24.1910 + 13.9667i −1.60561 + 0.927002i −0.615279 + 0.788310i \(0.710956\pi\)
−0.990336 + 0.138692i \(0.955710\pi\)
\(228\) 2.19635 + 0.723094i 0.145457 + 0.0478881i
\(229\) −10.4279 + 11.2386i −0.689097 + 0.742670i −0.976589 0.215113i \(-0.930988\pi\)
0.287492 + 0.957783i \(0.407179\pi\)
\(230\) 10.6876 + 28.0048i 0.704719 + 1.84658i
\(231\) 2.47688 11.2052i 0.162967 0.737247i
\(232\) 16.0631 19.0139i 1.05459 1.24832i
\(233\) 6.14665 + 15.6614i 0.402680 + 1.02601i 0.978096 + 0.208152i \(0.0667449\pi\)
−0.575416 + 0.817861i \(0.695160\pi\)
\(234\) −5.50718 0.0519039i −0.360016 0.00339306i
\(235\) 3.01724 + 9.78166i 0.196823 + 0.638085i
\(236\) −20.7340 5.14540i −1.34967 0.334937i
\(237\) −24.7693 + 5.65344i −1.60894 + 0.367230i
\(238\) 8.23790 + 6.60428i 0.533984 + 0.428092i
\(239\) 3.05782 13.3972i 0.197794 0.866593i −0.774452 0.632633i \(-0.781974\pi\)
0.972246 0.233960i \(-0.0751685\pi\)
\(240\) −24.5055 18.0972i −1.58182 1.16817i
\(241\) 2.24015 5.70780i 0.144301 0.367672i −0.840390 0.541982i \(-0.817674\pi\)
0.984691 + 0.174310i \(0.0557695\pi\)
\(242\) 9.02882 7.06207i 0.580395 0.453967i
\(243\) 12.5671 + 18.4325i 0.806177 + 1.18244i
\(244\) −2.36095 + 13.8830i −0.151145 + 0.888771i
\(245\) 14.4322 + 15.1331i 0.922041 + 0.966816i
\(246\) −0.571801 + 6.77297i −0.0364567 + 0.431829i
\(247\) 0.417027 0.284324i 0.0265348 0.0180911i
\(248\) −24.6320 + 13.3074i −1.56413 + 0.845020i
\(249\) −2.19577 + 5.59474i −0.139151 + 0.354552i
\(250\) −1.69988 + 4.21400i −0.107510 + 0.266517i
\(251\) −10.2618 2.34219i −0.647720 0.147838i −0.113975 0.993484i \(-0.536358\pi\)
−0.533744 + 0.845646i \(0.679216\pi\)
\(252\) 1.60514 18.4462i 0.101114 1.16200i
\(253\) 11.7686 2.68610i 0.739884 0.168874i
\(254\) −4.06470 + 25.3444i −0.255042 + 1.59025i
\(255\) 20.5361 6.33454i 1.28602 0.396684i
\(256\) −9.02100 + 13.2144i −0.563812 + 0.825903i
\(257\) 3.09244 + 7.87940i 0.192901 + 0.491503i 0.994299 0.106628i \(-0.0340054\pi\)
−0.801398 + 0.598131i \(0.795910\pi\)
\(258\) −10.4383 6.15845i −0.649861 0.383408i
\(259\) 20.2920 + 15.9561i 1.26088 + 0.991466i
\(260\) −6.38990 + 1.83987i −0.396285 + 0.114104i
\(261\) 20.9449 22.5732i 1.29646 1.39725i
\(262\) −1.07370 + 4.50791i −0.0663333 + 0.278500i
\(263\) 4.90521 + 8.49608i 0.302468 + 0.523890i 0.976694 0.214635i \(-0.0688560\pi\)
−0.674226 + 0.738525i \(0.735523\pi\)
\(264\) −8.59526 + 8.75360i −0.529002 + 0.538747i
\(265\) 14.9361 18.7293i 0.917520 1.15053i
\(266\) 0.844658 + 1.47173i 0.0517893 + 0.0902375i
\(267\) −30.2453 + 24.1198i −1.85098 + 1.47611i
\(268\) −0.333628 + 17.6980i −0.0203796 + 1.08108i
\(269\) −14.8724 + 21.8139i −0.906789 + 1.33001i 0.0369480 + 0.999317i \(0.488236\pi\)
−0.943737 + 0.330698i \(0.892716\pi\)
\(270\) −4.17160 3.39154i −0.253875 0.206403i
\(271\) 5.07541 0.764994i 0.308309 0.0464701i 0.00693446 0.999976i \(-0.497793\pi\)
0.301374 + 0.953506i \(0.402555\pi\)
\(272\) −3.72481 10.6551i −0.225850 0.646060i
\(273\) −5.53762 5.06801i −0.335152 0.306730i
\(274\) −13.7355 + 14.5263i −0.829792 + 0.877568i
\(275\) −5.78243 3.33849i −0.348694 0.201319i
\(276\) 33.9176 12.5792i 2.04160 0.757181i
\(277\) 0.658585 4.36943i 0.0395706 0.262533i −0.960294 0.278990i \(-0.910000\pi\)
0.999865 + 0.0164565i \(0.00523849\pi\)
\(278\) 2.22090 2.02208i 0.133201 0.121276i
\(279\) −31.2061 + 15.0280i −1.86826 + 0.899705i
\(280\) −4.50654 21.8966i −0.269317 1.30857i
\(281\) 10.3704 + 4.99412i 0.618646 + 0.297924i 0.716834 0.697244i \(-0.245590\pi\)
−0.0981882 + 0.995168i \(0.531305\pi\)
\(282\) 11.8388 3.52994i 0.704989 0.210205i
\(283\) −24.3030 + 1.82126i −1.44466 + 0.108262i −0.773852 0.633367i \(-0.781673\pi\)
−0.670810 + 0.741629i \(0.734053\pi\)
\(284\) −1.89677 + 0.249427i −0.112553 + 0.0148008i
\(285\) 3.44424 + 0.258110i 0.204019 + 0.0152891i
\(286\) 0.374138 + 2.65157i 0.0221232 + 0.156791i
\(287\) −3.63314 + 3.41767i −0.214457 + 0.201738i
\(288\) −11.9085 + 15.8114i −0.701718 + 0.931697i
\(289\) −8.63568 2.66375i −0.507981 0.156691i
\(290\) 16.4464 33.3438i 0.965767 1.95801i
\(291\) −15.7843 17.0114i −0.925289 0.997225i
\(292\) −15.8837 + 7.28362i −0.929521 + 0.426242i
\(293\) 8.72727i 0.509852i −0.966961 0.254926i \(-0.917949\pi\)
0.966961 0.254926i \(-0.0820512\pi\)
\(294\) 18.4267 17.2446i 1.07466 1.00573i
\(295\) −31.9096 −1.85785
\(296\) −9.35183 25.9634i −0.543564 1.50909i
\(297\) −1.58713 + 1.47265i −0.0920949 + 0.0854516i
\(298\) 12.6403 + 6.23469i 0.732234 + 0.361166i
\(299\) 2.32746 7.54543i 0.134600 0.436363i
\(300\) −18.4853 7.66010i −1.06725 0.442256i
\(301\) −2.67968 8.48064i −0.154454 0.488816i
\(302\) −2.52898 17.9232i −0.145526 1.03137i
\(303\) −0.496946 + 6.63128i −0.0285488 + 0.380957i
\(304\) 0.0683697 1.81276i 0.00392127 0.103969i
\(305\) 1.57193 + 20.9759i 0.0900082 + 1.20108i
\(306\) −3.99006 13.3819i −0.228097 0.764995i
\(307\) −1.62702 + 3.37854i −0.0928588 + 0.192823i −0.942225 0.334981i \(-0.891270\pi\)
0.849366 + 0.527804i \(0.176984\pi\)
\(308\) −8.98509 + 0.565013i −0.511973 + 0.0321946i
\(309\) 6.96508 + 14.4631i 0.396230 + 0.822779i
\(310\) −30.9219 + 28.1537i −1.75625 + 1.59902i
\(311\) −23.9073 3.60345i −1.35566 0.204333i −0.569315 0.822119i \(-0.692792\pi\)
−0.786346 + 0.617786i \(0.788030\pi\)
\(312\) 2.14767 + 7.73223i 0.121588 + 0.437752i
\(313\) 9.23228 15.9908i 0.521839 0.903852i −0.477838 0.878448i \(-0.658579\pi\)
0.999677 0.0254041i \(-0.00808725\pi\)
\(314\) 6.23383 + 5.89445i 0.351796 + 0.332643i
\(315\) −4.30930 27.3192i −0.242801 1.53926i
\(316\) 9.63871 + 17.4461i 0.542220 + 0.981418i
\(317\) −2.29639 15.2356i −0.128978 0.855715i −0.955962 0.293489i \(-0.905183\pi\)
0.826984 0.562225i \(-0.190055\pi\)
\(318\) −22.4326 18.2379i −1.25796 1.02273i
\(319\) −12.3709 8.43431i −0.692635 0.472230i
\(320\) −8.32380 + 22.4027i −0.465315 + 1.25235i
\(321\) 2.17629 + 2.72898i 0.121469 + 0.152317i
\(322\) 24.6869 + 9.76230i 1.37574 + 0.544032i
\(323\) 1.00054 + 0.797907i 0.0556718 + 0.0443968i
\(324\) 9.25689 11.1692i 0.514272 0.620514i
\(325\) −3.78250 + 2.18383i −0.209815 + 0.121137i
\(326\) −7.94039 + 33.3377i −0.439778 + 1.84640i
\(327\) −21.0511 19.5326i −1.16413 1.08015i
\(328\) 5.23017 1.03913i 0.288788 0.0573763i
\(329\) 8.19477 + 3.87747i 0.451792 + 0.213772i
\(330\) −9.31147 + 15.7825i −0.512579 + 0.868800i
\(331\) 9.43962 3.70478i 0.518848 0.203633i −0.0914426 0.995810i \(-0.529148\pi\)
0.610291 + 0.792177i \(0.291053\pi\)
\(332\) 4.69443 + 0.440917i 0.257640 + 0.0241985i
\(333\) −10.0631 32.6238i −0.551456 1.78778i
\(334\) 5.18739 32.3447i 0.283841 1.76982i
\(335\) 5.88346 + 25.7771i 0.321448 + 1.40835i
\(336\) −26.4760 + 5.18943i −1.44438 + 0.283106i
\(337\) 1.14520 5.01745i 0.0623830 0.273318i −0.934111 0.356983i \(-0.883805\pi\)
0.996494 + 0.0836650i \(0.0266626\pi\)
\(338\) −15.4254 6.22241i −0.839029 0.338454i
\(339\) 13.7776 + 5.40729i 0.748294 + 0.293684i
\(340\) −9.23327 14.1068i −0.500744 0.765050i
\(341\) 9.48679 + 13.9146i 0.513738 + 0.753516i
\(342\) 0.188796 2.23629i 0.0102089 0.120925i
\(343\) 18.5163 0.380557i 0.999789 0.0205481i
\(344\) −2.37693 + 9.20611i −0.128156 + 0.496360i
\(345\) 44.6454 30.4387i 2.40363 1.63877i
\(346\) 8.90442 + 11.3843i 0.478705 + 0.612021i
\(347\) 22.1765 + 8.70364i 1.19050 + 0.467236i 0.876134 0.482067i \(-0.160114\pi\)
0.314363 + 0.949303i \(0.398209\pi\)
\(348\) −40.0521 20.2267i −2.14702 1.08427i
\(349\) −17.2581 3.93905i −0.923804 0.210852i −0.265941 0.963989i \(-0.585683\pi\)
−0.657864 + 0.753137i \(0.728540\pi\)
\(350\) −6.33706 13.2462i −0.338730 0.708038i
\(351\) 0.315151 + 1.38077i 0.0168215 + 0.0736998i
\(352\) 8.46499 + 4.57971i 0.451185 + 0.244099i
\(353\) −7.59305 + 2.34215i −0.404137 + 0.124660i −0.490158 0.871634i \(-0.663061\pi\)
0.0860210 + 0.996293i \(0.472585\pi\)
\(354\) −0.362932 + 38.5084i −0.0192896 + 2.04670i
\(355\) −2.66005 + 1.04399i −0.141181 + 0.0554093i
\(356\) 24.7489 + 17.5658i 1.31169 + 0.930987i
\(357\) 8.14054 17.2045i 0.430843 0.910558i
\(358\) −9.46174 24.7927i −0.500069 1.31033i
\(359\) 5.26458 + 4.88482i 0.277854 + 0.257811i 0.806773 0.590861i \(-0.201212\pi\)
−0.528919 + 0.848672i \(0.677402\pi\)
\(360\) −11.5756 + 27.2064i −0.610089 + 1.43390i
\(361\) −9.39716 16.2764i −0.494588 0.856651i
\(362\) −21.4140 14.8973i −1.12549 0.782987i
\(363\) −16.1552 12.8833i −0.847928 0.676200i
\(364\) −2.61866 + 5.27484i −0.137255 + 0.276477i
\(365\) −20.4064 + 16.2736i −1.06812 + 0.851799i
\(366\) 25.3315 1.65842i 1.32410 0.0866870i
\(367\) 17.4575 + 11.9023i 0.911274 + 0.621296i 0.925560 0.378602i \(-0.123595\pi\)
−0.0142855 + 0.999898i \(0.504547\pi\)
\(368\) −16.8458 22.8395i −0.878147 1.19059i
\(369\) 6.52326 0.983223i 0.339587 0.0511845i
\(370\) −22.8983 34.2752i −1.19042 1.78188i
\(371\) −3.30574 20.9571i −0.171625 1.08804i
\(372\) 33.6241 + 37.6367i 1.74333 + 1.95137i
\(373\) 12.7062 + 7.33594i 0.657903 + 0.379840i 0.791478 0.611198i \(-0.209312\pi\)
−0.133574 + 0.991039i \(0.542646\pi\)
\(374\) −6.14478 + 2.88815i −0.317739 + 0.149342i
\(375\) 8.09970 + 1.22083i 0.418267 + 0.0630435i
\(376\) −5.23101 8.15885i −0.269769 0.420761i
\(377\) −8.82414 + 4.24948i −0.454466 + 0.218859i
\(378\) −4.71012 + 0.697539i −0.242262 + 0.0358775i
\(379\) 11.3912 23.6542i 0.585129 1.21503i −0.372770 0.927924i \(-0.621592\pi\)
0.957898 0.287108i \(-0.0926939\pi\)
\(380\) −0.553053 2.65259i −0.0283710 0.136075i
\(381\) 46.1419 3.45786i 2.36392 0.177151i
\(382\) −15.1106 + 3.29939i −0.773127 + 0.168812i
\(383\) 0.703275 9.38455i 0.0359357 0.479528i −0.949983 0.312302i \(-0.898900\pi\)
0.985919 0.167226i \(-0.0534811\pi\)
\(384\) 26.9408 + 10.2999i 1.37482 + 0.525616i
\(385\) −12.8226 + 4.05164i −0.653499 + 0.206490i
\(386\) −2.77918 + 8.71734i −0.141457 + 0.443701i
\(387\) −3.46714 + 11.2402i −0.176245 + 0.571371i
\(388\) −9.39836 + 15.5922i −0.477130 + 0.791572i
\(389\) −8.30312 8.94863i −0.420985 0.453714i 0.486574 0.873640i \(-0.338247\pi\)
−0.907558 + 0.419926i \(0.862056\pi\)
\(390\) 5.89531 + 10.4369i 0.298520 + 0.528493i
\(391\) 20.0210 1.01250
\(392\) −17.0003 10.1483i −0.858647 0.512568i
\(393\) 8.35356 0.421381
\(394\) 11.8177 + 20.9218i 0.595369 + 1.05403i
\(395\) 20.2499 + 21.8242i 1.01888 + 1.09810i
\(396\) 10.1976 + 6.14670i 0.512447 + 0.308883i
\(397\) 3.51013 11.3796i 0.176168 0.571124i −0.823823 0.566848i \(-0.808163\pi\)
0.999991 0.00427579i \(-0.00136103\pi\)
\(398\) 1.82450 5.72283i 0.0914539 0.286859i
\(399\) 2.22804 2.09590i 0.111542 0.104926i
\(400\) −1.76225 + 15.5986i −0.0881124 + 0.779930i
\(401\) 0.498112 6.64684i 0.0248745 0.331927i −0.970859 0.239651i \(-0.922967\pi\)
0.995733 0.0922757i \(-0.0294141\pi\)
\(402\) 31.1746 6.80695i 1.55485 0.339500i
\(403\) 10.9854 0.823243i 0.547222 0.0410086i
\(404\) 5.10710 1.06481i 0.254088 0.0529761i
\(405\) 9.40158 19.5226i 0.467168 0.970085i
\(406\) −11.9508 30.6822i −0.593108 1.52273i
\(407\) −14.9560 + 7.20244i −0.741343 + 0.357012i
\(408\) −17.1291 + 10.9822i −0.848015 + 0.543701i
\(409\) 8.46298 + 1.27559i 0.418467 + 0.0630738i 0.354901 0.934904i \(-0.384514\pi\)
0.0635662 + 0.997978i \(0.479753\pi\)
\(410\) 7.20842 3.38808i 0.355999 0.167325i
\(411\) 31.2104 + 18.0194i 1.53950 + 0.888829i
\(412\) 9.39165 8.39038i 0.462694 0.413364i
\(413\) −19.0797 + 20.8476i −0.938848 + 1.02584i
\(414\) −19.5039 29.1944i −0.958566 1.43483i
\(415\) 6.96422 1.04969i 0.341860 0.0515272i
\(416\) 5.36303 3.29753i 0.262944 0.161675i
\(417\) −4.47355 3.05002i −0.219071 0.149360i
\(418\) −1.08887 + 0.0712868i −0.0532584 + 0.00348675i
\(419\) 22.6721 18.0804i 1.10761 0.883286i 0.113700 0.993515i \(-0.463730\pi\)
0.993906 + 0.110229i \(0.0351584\pi\)
\(420\) −36.5157 + 17.0484i −1.78179 + 0.831874i
\(421\) −8.07775 6.44179i −0.393685 0.313954i 0.406563 0.913623i \(-0.366727\pi\)
−0.800248 + 0.599669i \(0.795299\pi\)
\(422\) −22.5738 15.7042i −1.09888 0.764470i
\(423\) −5.99505 10.3837i −0.291489 0.504875i
\(424\) −8.87987 + 20.8705i −0.431245 + 1.01356i
\(425\) −8.11798 7.53239i −0.393780 0.365374i
\(426\) 1.22963 + 3.22201i 0.0595758 + 0.156107i
\(427\) 14.6441 + 11.5151i 0.708679 + 0.557254i
\(428\) 1.58493 2.23305i 0.0766107 0.107939i
\(429\) 4.49354 1.76358i 0.216950 0.0851467i
\(430\) −0.133845 + 14.2014i −0.00645457 + 0.684852i
\(431\) 0.429098 0.132359i 0.0206689 0.00637552i −0.284403 0.958705i \(-0.591796\pi\)
0.305072 + 0.952329i \(0.401319\pi\)
\(432\) 4.66492 + 2.03694i 0.224441 + 0.0980023i
\(433\) −4.20956 18.4433i −0.202299 0.886328i −0.969533 0.244961i \(-0.921225\pi\)
0.767234 0.641367i \(-0.221632\pi\)
\(434\) −0.0953540 + 37.0362i −0.00457714 + 1.77779i
\(435\) −65.3411 14.9137i −3.13287 0.715056i
\(436\) −10.1558 + 20.1100i −0.486374 + 0.963096i
\(437\) 2.99524 + 1.17555i 0.143282 + 0.0562340i
\(438\) 19.4068 + 24.8115i 0.927293 + 1.18554i
\(439\) 1.26880 0.865056i 0.0605567 0.0412869i −0.532663 0.846327i \(-0.678809\pi\)
0.593220 + 0.805040i \(0.297856\pi\)
\(440\) 13.9195 + 3.59388i 0.663585 + 0.171332i
\(441\) −20.4252 13.5195i −0.972628 0.643787i
\(442\) −0.373629 + 4.42563i −0.0177717 + 0.210506i
\(443\) 2.44680 + 3.58880i 0.116251 + 0.170509i 0.879954 0.475059i \(-0.157573\pi\)
−0.763703 + 0.645568i \(0.776621\pi\)
\(444\) −41.6236 + 27.2437i −1.97537 + 1.29293i
\(445\) 42.1985 + 16.5617i 2.00040 + 0.785100i
\(446\) 5.54752 + 2.23780i 0.262683 + 0.105963i
\(447\) 5.65364 24.7702i 0.267408 1.17159i
\(448\) 9.65935 + 18.8334i 0.456362 + 0.889794i
\(449\) −0.698543 3.06052i −0.0329663 0.144435i 0.955766 0.294127i \(-0.0950289\pi\)
−0.988733 + 0.149692i \(0.952172\pi\)
\(450\) −3.07533 + 19.1754i −0.144972 + 0.903939i
\(451\) −0.945451 3.06508i −0.0445195 0.144329i
\(452\) 1.08580 11.5605i 0.0510717 0.543758i
\(453\) −30.3740 + 11.9209i −1.42709 + 0.560093i
\(454\) 20.0734 34.0236i 0.942092 1.59681i
\(455\) −1.89861 + 8.58913i −0.0890082 + 0.402665i
\(456\) −3.20743 + 0.637252i −0.150202 + 0.0298420i
\(457\) −10.7665 9.98988i −0.503637 0.467307i 0.386962 0.922096i \(-0.373524\pi\)
−0.890599 + 0.454789i \(0.849715\pi\)
\(458\) 5.02364 21.0917i 0.234739 0.985551i
\(459\) −3.10988 + 1.79549i −0.145157 + 0.0838062i
\(460\) −32.6385 27.0502i −1.52178 1.26122i
\(461\) −8.84185 7.05114i −0.411806 0.328404i 0.395576 0.918433i \(-0.370545\pi\)
−0.807382 + 0.590029i \(0.799116\pi\)
\(462\) 4.74366 + 15.5203i 0.220695 + 0.722070i
\(463\) 16.6478 + 20.8756i 0.773687 + 0.970173i 0.999992 0.00388357i \(-0.00123618\pi\)
−0.226305 + 0.974056i \(0.572665\pi\)
\(464\) −6.55456 + 34.5853i −0.304288 + 1.60558i
\(465\) 62.2858 + 42.4658i 2.88844 + 1.96930i
\(466\) −18.4617 15.0096i −0.855223 0.695304i
\(467\) −1.68665 11.1902i −0.0780490 0.517821i −0.993358 0.115068i \(-0.963291\pi\)
0.915309 0.402753i \(-0.131947\pi\)
\(468\) 6.81740 3.76652i 0.315134 0.174107i
\(469\) 20.3589 + 11.5690i 0.940087 + 0.534207i
\(470\) −10.5188 9.94610i −0.485194 0.458779i
\(471\) 7.73283 13.3937i 0.356310 0.617147i
\(472\) 29.1097 8.08537i 1.33988 0.372159i
\(473\) 5.65544 + 0.852421i 0.260038 + 0.0391944i
\(474\) 26.5677 24.1893i 1.22029 1.11105i
\(475\) −0.772223 1.60354i −0.0354320 0.0735753i
\(476\) −14.7373 2.40247i −0.675482 0.110117i
\(477\) −12.1747 + 25.2809i −0.557439 + 1.15753i
\(478\) 5.55293 + 18.6235i 0.253985 + 0.851820i
\(479\) 1.11592 + 14.8909i 0.0509876 + 0.680382i 0.962876 + 0.269944i \(0.0870052\pi\)
−0.911888 + 0.410438i \(0.865376\pi\)
\(480\) 42.7621 + 5.23964i 1.95181 + 0.239156i
\(481\) −0.811466 + 10.8283i −0.0369997 + 0.493726i
\(482\) 1.21155 + 8.58642i 0.0551845 + 0.391101i
\(483\) 6.80815 47.3685i 0.309781 2.15534i
\(484\) −6.20578 + 14.9758i −0.282081 + 0.680716i
\(485\) −8.01545 + 25.9855i −0.363963 + 1.17994i
\(486\) −28.2949 13.9561i −1.28348 0.633062i
\(487\) −27.1938 + 25.2322i −1.23227 + 1.14338i −0.247616 + 0.968858i \(0.579647\pi\)
−0.984654 + 0.174520i \(0.944163\pi\)
\(488\) −6.74895 18.7371i −0.305510 0.848187i
\(489\) 61.7777 2.79368
\(490\) −28.2967 8.59607i −1.27832 0.388331i
\(491\) 7.51968i 0.339359i −0.985499 0.169679i \(-0.945727\pi\)
0.985499 0.169679i \(-0.0542732\pi\)
\(492\) −4.00673 8.73763i −0.180637 0.393923i
\(493\) −16.8907 18.2038i −0.760717 0.819858i
\(494\) −0.315751 + 0.640159i −0.0142063 + 0.0288021i
\(495\) 16.9950 + 5.24225i 0.763867 + 0.235622i
\(496\) 21.0750 33.5185i 0.946295 1.50502i
\(497\) −0.908444 + 2.36213i −0.0407493 + 0.105956i
\(498\) −1.18755 8.41634i −0.0532154 0.377145i
\(499\) 14.2907 + 1.07094i 0.639740 + 0.0479419i 0.390651 0.920539i \(-0.372250\pi\)
0.249089 + 0.968481i \(0.419869\pi\)
\(500\) −0.837826 6.37125i −0.0374687 0.284931i
\(501\) −58.8865 + 4.41293i −2.63086 + 0.197155i
\(502\) 14.2650 4.25336i 0.636678 0.189837i
\(503\) −38.5332 18.5566i −1.71811 0.827399i −0.989853 0.142096i \(-0.954616\pi\)
−0.728258 0.685303i \(-0.759670\pi\)
\(504\) 10.8534 + 23.8302i 0.483450 + 1.06148i
\(505\) 7.02077 3.38103i 0.312420 0.150454i
\(506\) −12.6230 + 11.4930i −0.561162 + 0.510925i
\(507\) −4.46886 + 29.6490i −0.198469 + 1.31676i
\(508\) −12.6228 34.0351i −0.560047 1.51006i
\(509\) 11.8759 + 6.85655i 0.526390 + 0.303911i 0.739545 0.673107i \(-0.235041\pi\)
−0.213155 + 0.977018i \(0.568374\pi\)
\(510\) −20.8813 + 22.0836i −0.924640 + 0.977877i
\(511\) −1.56952 + 23.0626i −0.0694315 + 1.02023i
\(512\) 1.91696 22.5461i 0.0847186 0.996405i
\(513\) −0.570677 + 0.0860157i −0.0251960 + 0.00379769i
\(514\) −9.28827 7.55144i −0.409688 0.333080i
\(515\) 10.5967 15.5425i 0.466946 0.684884i
\(516\) 17.1367 + 0.323046i 0.754400 + 0.0142213i
\(517\) −4.55797 + 3.63486i −0.200459 + 0.159861i
\(518\) −36.0846 5.53393i −1.58547 0.243147i
\(519\) 16.2443 20.3698i 0.713048 0.894133i
\(520\) 6.58855 6.70992i 0.288927 0.294249i
\(521\) −16.0337 27.7712i −0.702449 1.21668i −0.967604 0.252471i \(-0.918757\pi\)
0.265156 0.964206i \(-0.414577\pi\)
\(522\) −10.0902 + 42.3635i −0.441635 + 1.85420i
\(523\) −25.1238 + 27.0770i −1.09859 + 1.18400i −0.116971 + 0.993135i \(0.537318\pi\)
−0.981617 + 0.190861i \(0.938872\pi\)
\(524\) −1.81330 6.29763i −0.0792144 0.275113i
\(525\) −20.5817 + 16.6453i −0.898260 + 0.726460i
\(526\) −11.9494 7.04994i −0.521017 0.307392i
\(527\) 10.2046 + 26.0009i 0.444519 + 1.13262i
\(528\) 4.49540 16.7571i 0.195637 0.729258i
\(529\) 26.1242 8.05825i 1.13584 0.350359i
\(530\) −5.36482 + 33.4510i −0.233033 + 1.45302i
\(531\) 36.4391 8.31700i 1.58132 0.360927i
\(532\) −2.06371 1.22473i −0.0894732 0.0530989i
\(533\) −2.04559 0.466892i −0.0886043 0.0202234i
\(534\) 20.4665 50.7366i 0.885674 2.19559i
\(535\) 1.49433 3.80750i 0.0646057 0.164613i
\(536\) −11.8987 22.0245i −0.513946 0.951315i
\(537\) −39.5246 + 26.9474i −1.70561 + 1.16287i
\(538\) 3.14099 37.2049i 0.135417 1.60402i
\(539\) −5.01991 + 10.8000i −0.216223 + 0.465188i
\(540\) 7.49564 + 1.27471i 0.322561 + 0.0548548i
\(541\) 8.35485 + 12.2543i 0.359203 + 0.526854i 0.962721 0.270495i \(-0.0871873\pi\)
−0.603518 + 0.797349i \(0.706235\pi\)
\(542\) −5.71754 + 4.47209i −0.245590 + 0.192093i
\(543\) −17.1800 + 43.7739i −0.737264 + 1.87852i
\(544\) 11.9975 + 10.5295i 0.514390 + 0.451447i
\(545\) −7.48812 + 32.8076i −0.320756 + 1.40532i
\(546\) 10.3437 + 2.38893i 0.442671 + 0.102237i
\(547\) 3.08921 0.705092i 0.132085 0.0301475i −0.155967 0.987762i \(-0.549849\pi\)
0.288052 + 0.957615i \(0.406992\pi\)
\(548\) 6.80972 27.4406i 0.290897 1.17220i
\(549\) −7.26227 23.5437i −0.309946 1.00482i
\(550\) 9.44226 + 0.0889909i 0.402619 + 0.00379459i
\(551\) −1.45808 3.71513i −0.0621164 0.158270i
\(552\) −33.0153 + 39.0803i −1.40523 + 1.66337i
\(553\) 26.3665 0.180610i 1.12122 0.00768030i
\(554\) 2.22813 + 5.83838i 0.0946641 + 0.248049i
\(555\) −50.5412 + 54.4704i −2.14535 + 2.31214i
\(556\) −1.32829 + 4.03461i −0.0563322 + 0.171106i
\(557\) 39.2613 22.6675i 1.66356 0.960454i 0.692558 0.721362i \(-0.256484\pi\)
0.970997 0.239092i \(-0.0768498\pi\)
\(558\) 27.9732 40.2097i 1.18420 1.70221i
\(559\) 2.33261 2.92500i 0.0986590 0.123714i
\(560\) 20.7790 + 23.8280i 0.878071 + 1.00692i
\(561\) 7.63119 + 9.56921i 0.322189 + 0.404012i
\(562\) −16.2432 + 1.06342i −0.685178 + 0.0448577i
\(563\) 17.0286 24.9764i 0.717670 1.05263i −0.278082 0.960557i \(-0.589699\pi\)
0.995752 0.0920717i \(-0.0293489\pi\)
\(564\) −12.1225 + 12.5809i −0.510451 + 0.529750i
\(565\) −2.58495 17.1501i −0.108750 0.721508i
\(566\) 28.6588 19.1461i 1.20462 0.804772i
\(567\) −7.13326 17.8155i −0.299569 0.748179i
\(568\) 2.16211 1.62640i 0.0907202 0.0682422i
\(569\) 4.19555 7.26691i 0.175887 0.304645i −0.764581 0.644528i \(-0.777054\pi\)
0.940468 + 0.339883i \(0.110387\pi\)
\(570\) −4.42060 + 2.07776i −0.185159 + 0.0870277i
\(571\) 3.65829 24.2712i 0.153095 1.01572i −0.771902 0.635742i \(-0.780694\pi\)
0.924996 0.379976i \(-0.124068\pi\)
\(572\) −2.30495 3.00480i −0.0963748 0.125637i
\(573\) 12.0972 + 25.1200i 0.505366 + 1.04940i
\(574\) 2.09658 6.73532i 0.0875095 0.281127i
\(575\) −25.0866 12.0810i −1.04618 0.503815i
\(576\) 3.66627 27.7523i 0.152761 1.15634i
\(577\) −0.375051 5.00470i −0.0156136 0.208349i −0.999554 0.0298531i \(-0.990496\pi\)
0.983941 0.178495i \(-0.0571230\pi\)
\(578\) 12.4863 2.72637i 0.519362 0.113402i
\(579\) 16.4476 + 1.23258i 0.683538 + 0.0512241i
\(580\) 2.94032 + 52.4970i 0.122090 + 2.17982i
\(581\) 3.47831 5.17759i 0.144305 0.214803i
\(582\) 31.2680 + 9.96857i 1.29610 + 0.413210i
\(583\) 13.0371 + 4.02142i 0.539943 + 0.166550i
\(584\) 14.4924 20.0163i 0.599701 0.828282i
\(585\) 8.52824 7.91305i 0.352599 0.327164i
\(586\) 6.07010 + 10.7464i 0.250754 + 0.443928i
\(587\) 28.9817i 1.19620i 0.801420 + 0.598102i \(0.204078\pi\)
−0.801420 + 0.598102i \(0.795922\pi\)
\(588\) −10.6955 + 34.0506i −0.441077 + 1.40422i
\(589\) 4.48904i 0.184968i
\(590\) 39.2920 22.1942i 1.61763 0.913720i
\(591\) 31.7527 29.4622i 1.30613 1.21191i
\(592\) 29.5738 + 25.4657i 1.21548 + 1.04663i
\(593\) 2.49494 + 0.769586i 0.102455 + 0.0316031i 0.345559 0.938397i \(-0.387689\pi\)
−0.243104 + 0.970000i \(0.578166\pi\)
\(594\) 0.930052 2.91725i 0.0381605 0.119696i
\(595\) −22.2292 + 1.81905i −0.911309 + 0.0745739i
\(596\) −19.9011 + 1.11465i −0.815183 + 0.0456578i
\(597\) −10.7976 0.809170i −0.441918 0.0331171i
\(598\) 2.38217 + 10.9099i 0.0974142 + 0.446140i
\(599\) 0.504370 + 6.73036i 0.0206080 + 0.274995i 0.997983 + 0.0634811i \(0.0202203\pi\)
−0.977375 + 0.211514i \(0.932161\pi\)
\(600\) 28.0899 3.42486i 1.14676 0.139819i
\(601\) −25.9707 12.5068i −1.05937 0.510164i −0.178701 0.983903i \(-0.557190\pi\)
−0.880665 + 0.473739i \(0.842904\pi\)
\(602\) 9.19821 + 8.57886i 0.374891 + 0.349648i
\(603\) −13.4372 27.9027i −0.547206 1.13629i
\(604\) 15.5803 + 20.3109i 0.633952 + 0.826437i
\(605\) −3.60886 + 23.9433i −0.146721 + 0.973432i
\(606\) −4.00036 8.51110i −0.162503 0.345740i
\(607\) 3.63926 6.30338i 0.147713 0.255846i −0.782669 0.622438i \(-0.786142\pi\)
0.930382 + 0.366592i \(0.119475\pi\)
\(608\) 1.17665 + 2.27971i 0.0477194 + 0.0924543i
\(609\) −48.8129 + 33.7721i −1.97800 + 1.36852i
\(610\) −16.5250 24.7354i −0.669079 1.00151i
\(611\) 0.568376 + 3.77093i 0.0229940 + 0.152555i
\(612\) 14.2208 + 13.7027i 0.574840 + 0.553899i
\(613\) −26.2621 + 38.5194i −1.06072 + 1.55578i −0.251872 + 0.967761i \(0.581046\pi\)
−0.808844 + 0.588024i \(0.799906\pi\)
\(614\) −0.346448 5.29182i −0.0139815 0.213561i
\(615\) −8.95213 11.2256i −0.360985 0.452661i
\(616\) 10.6708 6.94516i 0.429940 0.279828i
\(617\) −20.2298 + 25.3674i −0.814422 + 1.02125i 0.184837 + 0.982769i \(0.440824\pi\)
−0.999259 + 0.0384840i \(0.987747\pi\)
\(618\) −18.6361 12.9648i −0.749653 0.521521i
\(619\) −10.0066 + 5.77731i −0.402199 + 0.232210i −0.687432 0.726248i \(-0.741262\pi\)
0.285233 + 0.958458i \(0.407929\pi\)
\(620\) 18.4940 56.1744i 0.742737 2.25602i
\(621\) −6.14115 + 6.61858i −0.246436 + 0.265595i
\(622\) 31.9447 12.1912i 1.28087 0.488823i
\(623\) 36.0520 17.6670i 1.44439 0.707811i
\(624\) −8.02256 8.02735i −0.321160 0.321351i
\(625\) −10.6756 27.2010i −0.427024 1.08804i
\(626\) −0.246096 + 26.1117i −0.00983598 + 1.04363i
\(627\) 0.579803 + 1.87967i 0.0231551 + 0.0750669i
\(628\) −11.7758 2.92232i −0.469907 0.116613i
\(629\) −26.8418 + 6.12647i −1.07025 + 0.244279i
\(630\) 24.3077 + 30.6424i 0.968442 + 1.22082i
\(631\) 8.94465 39.1891i 0.356081 1.56009i −0.406778 0.913527i \(-0.633348\pi\)
0.762859 0.646565i \(-0.223795\pi\)
\(632\) −24.0030 14.7783i −0.954788 0.587848i
\(633\) −18.1105 + 46.1449i −0.719829 + 1.83409i
\(634\) 13.4245 + 17.1632i 0.533155 + 0.681636i
\(635\) −30.5442 44.8001i −1.21211 1.77784i
\(636\) 40.3075 + 6.85471i 1.59830 + 0.271807i
\(637\) 4.47633 + 6.37611i 0.177359 + 0.252631i
\(638\) 21.0992 + 1.78128i 0.835327 + 0.0705217i
\(639\) 2.76553 1.88551i 0.109403 0.0745895i
\(640\) −5.33224 33.3751i −0.210775 1.31927i
\(641\) 4.91803 12.5309i 0.194251 0.494942i −0.800251 0.599665i \(-0.795300\pi\)
0.994501 + 0.104723i \(0.0333956\pi\)
\(642\) −4.57788 1.84666i −0.180674 0.0728819i
\(643\) −6.09394 1.39090i −0.240322 0.0548518i 0.100664 0.994921i \(-0.467903\pi\)
−0.340985 + 0.940069i \(0.610761\pi\)
\(644\) −37.1883 + 5.14967i −1.46542 + 0.202925i
\(645\) 24.9596 5.69686i 0.982782 0.224314i
\(646\) −1.78700 0.286595i −0.0703084 0.0112759i
\(647\) 28.9299 8.92369i 1.13735 0.350827i 0.331799 0.943350i \(-0.392345\pi\)
0.805553 + 0.592524i \(0.201868\pi\)
\(648\) −3.62994 + 20.1918i −0.142597 + 0.793208i
\(649\) −6.63940 16.9169i −0.260619 0.664047i
\(650\) 3.13868 5.31992i 0.123109 0.208664i
\(651\) 64.9867 15.3019i 2.54703 0.599728i
\(652\) −13.4100 46.5733i −0.525177 1.82395i
\(653\) 28.0391 30.2190i 1.09726 1.18256i 0.115323 0.993328i \(-0.463210\pi\)
0.981932 0.189232i \(-0.0605999\pi\)
\(654\) 39.5069 + 9.40978i 1.54484 + 0.367951i
\(655\) −4.89445 8.47743i −0.191242 0.331241i
\(656\) −5.71744 + 4.91729i −0.223228 + 0.191988i
\(657\) 19.0615 23.9024i 0.743661 0.932522i
\(658\) −12.7876 + 0.925194i −0.498511 + 0.0360678i
\(659\) 2.67152 2.13046i 0.104067 0.0829910i −0.570074 0.821594i \(-0.693085\pi\)
0.674141 + 0.738603i \(0.264514\pi\)
\(660\) 0.488440 25.9103i 0.0190125 1.00856i
\(661\) 3.70330 5.43175i 0.144042 0.211271i −0.747437 0.664332i \(-0.768716\pi\)
0.891479 + 0.453062i \(0.149668\pi\)
\(662\) −9.04672 + 11.1275i −0.351611 + 0.432481i
\(663\) 7.91687 1.19328i 0.307466 0.0463430i
\(664\) −6.08718 + 2.72220i −0.236228 + 0.105642i
\(665\) −3.43241 1.03306i −0.133103 0.0400605i
\(666\) 35.0822 + 33.1723i 1.35941 + 1.28540i
\(667\) −54.0724 31.2187i −2.09369 1.20879i
\(668\) 16.1093 + 43.4358i 0.623287 + 1.68058i
\(669\) 1.60716 10.6628i 0.0621365 0.412249i
\(670\) −25.1735 27.6486i −0.972536 1.06816i
\(671\) −10.7933 + 5.19780i −0.416672 + 0.200659i
\(672\) 28.9919 24.8049i 1.11839 0.956871i
\(673\) −11.4440 5.51114i −0.441134 0.212439i 0.200114 0.979773i \(-0.435869\pi\)
−0.641248 + 0.767334i \(0.721583\pi\)
\(674\) 2.07965 + 6.97478i 0.0801053 + 0.268659i
\(675\) 4.98015 0.373211i 0.191686 0.0143649i
\(676\) 23.3220 3.06686i 0.896999 0.117956i
\(677\) 42.1104 + 3.15574i 1.61843 + 0.121285i 0.852887 0.522096i \(-0.174850\pi\)
0.765546 + 0.643381i \(0.222469\pi\)
\(678\) −20.7260 + 2.92445i −0.795978 + 0.112313i
\(679\) 12.1845 + 20.7742i 0.467597 + 0.797240i
\(680\) 21.1812 + 10.9485i 0.812261 + 0.419854i
\(681\) −68.0481 20.9901i −2.60761 0.804341i
\(682\) −21.3596 10.5354i −0.817903 0.403421i
\(683\) 6.68451 + 7.20419i 0.255776 + 0.275661i 0.847866 0.530211i \(-0.177887\pi\)
−0.592090 + 0.805872i \(0.701697\pi\)
\(684\) 1.32294 + 2.88498i 0.0505837 + 0.110310i
\(685\) 42.2310i 1.61356i
\(686\) −22.5355 + 13.3473i −0.860409 + 0.509603i
\(687\) −39.0848 −1.49118
\(688\) −3.47630 12.9892i −0.132533 0.495209i
\(689\) 6.54217 6.07024i 0.249237 0.231258i
\(690\) −33.8032 + 68.5332i −1.28687 + 2.60902i
\(691\) −7.87113 + 25.5176i −0.299432 + 0.970734i 0.673411 + 0.739268i \(0.264828\pi\)
−0.972843 + 0.231466i \(0.925648\pi\)
\(692\) −18.8826 7.82474i −0.717810 0.297452i
\(693\) 13.5867 7.96887i 0.516116 0.302712i
\(694\) −33.3608 + 4.70723i −1.26636 + 0.178684i
\(695\) −0.474138 + 6.32693i −0.0179851 + 0.239994i
\(696\) 63.3866 2.95128i 2.40266 0.111868i
\(697\) −0.397563 5.30511i −0.0150588 0.200946i
\(698\) 23.9906 7.15321i 0.908056 0.270753i
\(699\) −18.6098 + 38.6437i −0.703889 + 1.46164i
\(700\) 17.0163 + 11.9031i 0.643156 + 0.449895i
\(701\) 14.4361 + 29.9769i 0.545244 + 1.13221i 0.973528 + 0.228567i \(0.0734039\pi\)
−0.428284 + 0.903644i \(0.640882\pi\)
\(702\) −1.34843 1.48101i −0.0508932 0.0558973i
\(703\) −4.37540 0.659485i −0.165021 0.0248730i
\(704\) −13.6087 + 0.248428i −0.512899 + 0.00936297i
\(705\) −13.0481 + 22.6000i −0.491420 + 0.851165i
\(706\) 7.72069 8.16523i 0.290572 0.307302i
\(707\) 1.98898 6.60851i 0.0748035 0.248539i
\(708\) −26.3369 47.6699i −0.989803 1.79154i
\(709\) −5.79027 38.4159i −0.217458 1.44274i −0.785051 0.619431i \(-0.787364\pi\)
0.567593 0.823309i \(-0.307875\pi\)
\(710\) 2.54933 3.13567i 0.0956747 0.117680i
\(711\) −28.8127 19.6442i −1.08056 0.736714i
\(712\) −42.6923 4.41608i −1.59996 0.165500i
\(713\) 43.7869 + 54.9071i 1.63983 + 2.05629i
\(714\) 1.94240 + 26.8468i 0.0726924 + 1.00472i
\(715\) −4.42255 3.52687i −0.165394 0.131897i
\(716\) 28.8949 + 23.9476i 1.07985 + 0.894964i
\(717\) 30.3390 17.5162i 1.13303 0.654155i
\(718\) −9.88012 2.35325i −0.368723 0.0878226i
\(719\) 27.5368 + 25.5504i 1.02695 + 0.952869i 0.998907 0.0467375i \(-0.0148824\pi\)
0.0280416 + 0.999607i \(0.491073\pi\)
\(720\) −4.66924 41.5519i −0.174012 1.54855i
\(721\) −3.81835 16.2164i −0.142203 0.603932i
\(722\) 22.8920 + 13.5059i 0.851952 + 0.502639i
\(723\) 14.5512 5.71091i 0.541164 0.212391i
\(724\) 36.7298 + 3.44979i 1.36505 + 0.128210i
\(725\) 10.1797 + 33.0018i 0.378065 + 1.22566i
\(726\) 28.8536 + 4.62749i 1.07086 + 0.171742i
\(727\) −3.67808 16.1147i −0.136412 0.597662i −0.996206 0.0870208i \(-0.972265\pi\)
0.859794 0.510641i \(-0.170592\pi\)
\(728\) −0.444329 8.31656i −0.0164679 0.308232i
\(729\) −7.81342 + 34.2328i −0.289386 + 1.26788i
\(730\) 13.8087 34.2319i 0.511085 1.26698i
\(731\) 8.83017 + 3.46559i 0.326596 + 0.128179i
\(732\) −30.0386 + 19.6610i −1.11026 + 0.726691i
\(733\) −17.3068 25.3845i −0.639242 0.937596i −0.999988 0.00493206i \(-0.998430\pi\)
0.360745 0.932664i \(-0.382522\pi\)
\(734\) −29.7748 2.51371i −1.09901 0.0927828i
\(735\) −3.25529 + 53.2117i −0.120073 + 1.96274i
\(736\) 36.6287 + 16.4067i 1.35015 + 0.604758i
\(737\) −12.4416 + 8.48255i −0.458293 + 0.312459i
\(738\) −7.34858 + 5.74784i −0.270505 + 0.211581i
\(739\) −34.6686 13.6064i −1.27531 0.500521i −0.371488 0.928438i \(-0.621152\pi\)
−0.903818 + 0.427917i \(0.859248\pi\)
\(740\) 52.0354 + 26.2784i 1.91286 + 0.966014i
\(741\) 1.25447 + 0.286324i 0.0460840 + 0.0105184i
\(742\) 18.6469 + 23.5063i 0.684548 + 0.862944i
\(743\) −4.48591 19.6541i −0.164572 0.721038i −0.988106 0.153771i \(-0.950858\pi\)
0.823534 0.567266i \(-0.191999\pi\)
\(744\) −67.5807 22.9574i −2.47763 0.841659i
\(745\) −28.4500 + 8.77567i −1.04233 + 0.321516i
\(746\) −20.7482 0.195547i −0.759647 0.00715949i
\(747\) −7.67920 + 3.01386i −0.280967 + 0.110271i
\(748\) 5.55760 7.83023i 0.203206 0.286301i
\(749\) −1.59406 3.25291i −0.0582456 0.118859i
\(750\) −10.8227 + 4.13033i −0.395190 + 0.150818i
\(751\) 21.9514 + 20.3679i 0.801018 + 0.743236i 0.970189 0.242351i \(-0.0779186\pi\)
−0.169171 + 0.985587i \(0.554109\pi\)
\(752\) 12.1160 + 6.40810i 0.441824 + 0.233679i
\(753\) −13.4168 23.2387i −0.488937 0.846864i
\(754\) 7.90999 11.3701i 0.288065 0.414075i
\(755\) 29.8941 + 23.8398i 1.08796 + 0.867618i
\(756\) 5.31467 4.13496i 0.193293 0.150387i
\(757\) 33.0262 26.3375i 1.20036 0.957253i 0.200609 0.979671i \(-0.435708\pi\)
0.999749 + 0.0224180i \(0.00713647\pi\)
\(758\) 2.42559 + 37.0496i 0.0881014 + 1.34570i
\(759\) 25.4265 + 17.3355i 0.922923 + 0.629238i
\(760\) 2.52597 + 2.88161i 0.0916265 + 0.104527i
\(761\) 10.5215 1.58586i 0.381403 0.0574873i 0.0444573 0.999011i \(-0.485844\pi\)
0.336946 + 0.941524i \(0.390606\pi\)
\(762\) −54.4120 + 36.3511i −1.97114 + 1.31686i
\(763\) 16.9569 + 24.5088i 0.613881 + 0.887279i
\(764\) 16.3117 14.5727i 0.590137 0.527220i
\(765\) 25.5459 + 14.7489i 0.923612 + 0.533248i
\(766\) 5.66129 + 12.0449i 0.204551 + 0.435199i
\(767\) −11.7550 1.77177i −0.424447 0.0639751i
\(768\) −40.3376 + 6.05533i −1.45556 + 0.218503i
\(769\) 31.8710 15.3483i 1.14930 0.553473i 0.240475 0.970655i \(-0.422697\pi\)
0.908823 + 0.417183i \(0.136983\pi\)
\(770\) 12.9711 13.9075i 0.467446 0.501192i
\(771\) −9.36278 + 19.4420i −0.337192 + 0.700187i