Properties

Label 300.2.w.a.67.13
Level $300$
Weight $2$
Character 300.67
Analytic conductor $2.396$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.w (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 67.13
Character \(\chi\) \(=\) 300.67
Dual form 300.2.w.a.103.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.344199 - 1.37169i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.76305 + 0.944266i) q^{4} +(1.92573 - 1.13647i) q^{5} +(-0.125382 - 1.40864i) q^{6} +(0.176718 - 0.176718i) q^{7} +(1.90208 + 2.09335i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\) \(q+(-0.344199 - 1.37169i) q^{2} +(0.987688 + 0.156434i) q^{3} +(-1.76305 + 0.944266i) q^{4} +(1.92573 - 1.13647i) q^{5} +(-0.125382 - 1.40864i) q^{6} +(0.176718 - 0.176718i) q^{7} +(1.90208 + 2.09335i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.22172 - 2.25032i) q^{10} +(2.50557 - 0.814109i) q^{11} +(-1.88906 + 0.656838i) q^{12} +(-0.0867616 - 0.170279i) q^{13} +(-0.303228 - 0.181576i) q^{14} +(2.07980 - 0.821232i) q^{15} +(2.21672 - 3.32959i) q^{16} +(-0.150917 - 0.952856i) q^{17} +(0.0965224 - 1.41092i) q^{18} +(-3.11382 - 2.26232i) q^{19} +(-2.32203 + 3.82207i) q^{20} +(0.202187 - 0.146898i) q^{21} +(-1.97912 - 3.15664i) q^{22} +(-1.11018 + 2.17885i) q^{23} +(1.55119 + 2.36512i) q^{24} +(2.41685 - 4.37708i) q^{25} +(-0.203707 + 0.177620i) q^{26} +(0.891007 + 0.453990i) q^{27} +(-0.144695 + 0.478433i) q^{28} +(2.72431 + 3.74969i) q^{29} +(-1.84234 - 2.57017i) q^{30} +(4.34632 - 5.98219i) q^{31} +(-5.33014 - 1.89461i) q^{32} +(2.60208 - 0.412129i) q^{33} +(-1.25507 + 0.534983i) q^{34} +(0.139475 - 0.541147i) q^{35} +(-1.96856 + 0.353237i) q^{36} +(-10.3242 + 5.26047i) q^{37} +(-2.03143 + 5.04988i) q^{38} +(-0.0590559 - 0.181755i) q^{39} +(6.04192 + 1.86955i) q^{40} +(-1.65043 + 5.07949i) q^{41} +(-0.271090 - 0.226776i) q^{42} +(-6.04379 - 6.04379i) q^{43} +(-3.64872 + 3.80124i) q^{44} +(2.18267 - 0.485769i) q^{45} +(3.37082 + 0.772862i) q^{46} +(-0.924721 + 5.83846i) q^{47} +(2.71029 - 2.94182i) q^{48} +6.93754i q^{49} +(-6.83586 - 1.80858i) q^{50} -0.964733i q^{51} +(0.313755 + 0.218286i) q^{52} +(0.172149 - 1.08691i) q^{53} +(0.316050 - 1.37845i) q^{54} +(3.89983 - 4.41527i) q^{55} +(0.706064 + 0.0338001i) q^{56} +(-2.72158 - 2.72158i) q^{57} +(4.20570 - 5.02753i) q^{58} +(0.0901046 - 0.277314i) q^{59} +(-2.89134 + 3.41176i) q^{60} +(3.76061 + 11.5740i) q^{61} +(-9.70169 - 3.90273i) q^{62} +(0.222678 - 0.113460i) q^{63} +(-0.764188 + 7.96342i) q^{64} +(-0.360597 - 0.229309i) q^{65} +(-1.46094 - 3.42738i) q^{66} +(10.2944 - 1.63047i) q^{67} +(1.16583 + 1.53743i) q^{68} +(-1.43736 + 1.97835i) q^{69} +(-0.790291 - 0.00505473i) q^{70} +(5.12235 + 7.05030i) q^{71} +(1.16211 + 2.57866i) q^{72} +(-4.09140 - 2.08467i) q^{73} +(10.7693 + 12.3510i) q^{74} +(3.07182 - 3.94511i) q^{75} +(7.62607 + 1.04832i) q^{76} +(0.298912 - 0.586648i) q^{77} +(-0.228985 + 0.143566i) q^{78} +(-9.57962 + 6.96000i) q^{79} +(0.484816 - 8.93112i) q^{80} +(0.809017 + 0.587785i) q^{81} +(7.53555 + 0.515516i) q^{82} +(1.04899 + 6.62308i) q^{83} +(-0.217757 + 0.449907i) q^{84} +(-1.37352 - 1.66343i) q^{85} +(-6.20993 + 10.3705i) q^{86} +(2.10419 + 4.12970i) q^{87} +(6.47000 + 3.69652i) q^{88} +(13.6637 - 4.43960i) q^{89} +(-1.41759 - 2.82673i) q^{90} +(-0.0454238 - 0.0147591i) q^{91} +(-0.100107 - 4.88974i) q^{92} +(5.22863 - 5.22863i) q^{93} +(8.32683 - 0.741161i) q^{94} +(-8.56744 - 0.817841i) q^{95} +(-4.96814 - 2.70510i) q^{96} +(-4.05542 - 0.642315i) q^{97} +(9.51614 - 2.38789i) q^{98} +2.63451 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 12q^{8} + O(q^{10}) \) \( 240q + 12q^{8} + 8q^{10} + 8q^{12} + 4q^{13} + 20q^{17} - 20q^{20} - 12q^{22} + 20q^{25} + 4q^{28} - 8q^{30} - 20q^{32} - 8q^{33} - 4q^{37} - 76q^{38} - 92q^{40} - 20q^{42} - 140q^{44} - 4q^{45} - 16q^{48} - 164q^{50} - 172q^{52} - 4q^{53} - 120q^{58} + 20q^{60} - 44q^{62} - 60q^{64} - 20q^{65} + 16q^{68} - 44q^{70} + 12q^{72} - 44q^{73} - 48q^{77} + 24q^{78} - 4q^{80} + 60q^{81} + 24q^{82} + 80q^{84} - 64q^{85} + 60q^{88} - 260q^{89} + 48q^{90} + 144q^{92} - 64q^{93} + 40q^{94} - 20q^{96} - 180q^{97} + 256q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.344199 1.37169i −0.243385 0.969930i
\(3\) 0.987688 + 0.156434i 0.570242 + 0.0903175i
\(4\) −1.76305 + 0.944266i −0.881527 + 0.472133i
\(5\) 1.92573 1.13647i 0.861212 0.508247i
\(6\) −0.125382 1.40864i −0.0511869 0.575077i
\(7\) 0.176718 0.176718i 0.0667932 0.0667932i −0.672921 0.739714i \(-0.734961\pi\)
0.739714 + 0.672921i \(0.234961\pi\)
\(8\) 1.90208 + 2.09335i 0.672487 + 0.740109i
\(9\) 0.951057 + 0.309017i 0.317019 + 0.103006i
\(10\) −2.22172 2.25032i −0.702570 0.711615i
\(11\) 2.50557 0.814109i 0.755458 0.245463i 0.0941298 0.995560i \(-0.469993\pi\)
0.661328 + 0.750097i \(0.269993\pi\)
\(12\) −1.88906 + 0.656838i −0.545326 + 0.189613i
\(13\) −0.0867616 0.170279i −0.0240634 0.0472270i 0.878662 0.477445i \(-0.158437\pi\)
−0.902725 + 0.430218i \(0.858437\pi\)
\(14\) −0.303228 0.181576i −0.0810412 0.0485282i
\(15\) 2.07980 0.821232i 0.537003 0.212041i
\(16\) 2.21672 3.32959i 0.554181 0.832396i
\(17\) −0.150917 0.952856i −0.0366029 0.231101i 0.962604 0.270911i \(-0.0873249\pi\)
−0.999207 + 0.0398095i \(0.987325\pi\)
\(18\) 0.0965224 1.41092i 0.0227506 0.332556i
\(19\) −3.11382 2.26232i −0.714359 0.519012i 0.170218 0.985406i \(-0.445553\pi\)
−0.884577 + 0.466394i \(0.845553\pi\)
\(20\) −2.32203 + 3.82207i −0.519221 + 0.854640i
\(21\) 0.202187 0.146898i 0.0441209 0.0320557i
\(22\) −1.97912 3.15664i −0.421949 0.672999i
\(23\) −1.11018 + 2.17885i −0.231488 + 0.454322i −0.977307 0.211827i \(-0.932059\pi\)
0.745819 + 0.666149i \(0.232059\pi\)
\(24\) 1.55119 + 2.36512i 0.316635 + 0.482779i
\(25\) 2.41685 4.37708i 0.483371 0.875416i
\(26\) −0.203707 + 0.177620i −0.0399502 + 0.0348341i
\(27\) 0.891007 + 0.453990i 0.171474 + 0.0873705i
\(28\) −0.144695 + 0.478433i −0.0273447 + 0.0904153i
\(29\) 2.72431 + 3.74969i 0.505891 + 0.696299i 0.983220 0.182426i \(-0.0583949\pi\)
−0.477329 + 0.878725i \(0.658395\pi\)
\(30\) −1.84234 2.57017i −0.336364 0.469247i
\(31\) 4.34632 5.98219i 0.780621 1.07443i −0.214592 0.976704i \(-0.568842\pi\)
0.995213 0.0977292i \(-0.0311579\pi\)
\(32\) −5.33014 1.89461i −0.942245 0.334923i
\(33\) 2.60208 0.412129i 0.452964 0.0717424i
\(34\) −1.25507 + 0.534983i −0.215244 + 0.0917489i
\(35\) 0.139475 0.541147i 0.0235756 0.0914705i
\(36\) −1.96856 + 0.353237i −0.328093 + 0.0588728i
\(37\) −10.3242 + 5.26047i −1.69730 + 0.864815i −0.710333 + 0.703865i \(0.751456\pi\)
−0.986963 + 0.160950i \(0.948544\pi\)
\(38\) −2.03143 + 5.04988i −0.329541 + 0.819198i
\(39\) −0.0590559 0.181755i −0.00945651 0.0291042i
\(40\) 6.04192 + 1.86955i 0.955311 + 0.295602i
\(41\) −1.65043 + 5.07949i −0.257753 + 0.793283i 0.735521 + 0.677502i \(0.236937\pi\)
−0.993275 + 0.115782i \(0.963063\pi\)
\(42\) −0.271090 0.226776i −0.0418301 0.0349923i
\(43\) −6.04379 6.04379i −0.921670 0.921670i 0.0754777 0.997147i \(-0.475952\pi\)
−0.997147 + 0.0754777i \(0.975952\pi\)
\(44\) −3.64872 + 3.80124i −0.550065 + 0.573059i
\(45\) 2.18267 0.485769i 0.325373 0.0724141i
\(46\) 3.37082 + 0.772862i 0.497001 + 0.113952i
\(47\) −0.924721 + 5.83846i −0.134884 + 0.851626i 0.823743 + 0.566963i \(0.191882\pi\)
−0.958628 + 0.284663i \(0.908118\pi\)
\(48\) 2.71029 2.94182i 0.391197 0.424615i
\(49\) 6.93754i 0.991077i
\(50\) −6.83586 1.80858i −0.966737 0.255772i
\(51\) 0.964733i 0.135090i
\(52\) 0.313755 + 0.218286i 0.0435099 + 0.0302708i
\(53\) 0.172149 1.08691i 0.0236465 0.149298i −0.973040 0.230636i \(-0.925919\pi\)
0.996687 + 0.0813380i \(0.0259193\pi\)
\(54\) 0.316050 1.37845i 0.0430089 0.187583i
\(55\) 3.89983 4.41527i 0.525853 0.595355i
\(56\) 0.706064 + 0.0338001i 0.0943518 + 0.00451673i
\(57\) −2.72158 2.72158i −0.360482 0.360482i
\(58\) 4.20570 5.02753i 0.552235 0.660148i
\(59\) 0.0901046 0.277314i 0.0117306 0.0361031i −0.945020 0.327013i \(-0.893958\pi\)
0.956750 + 0.290910i \(0.0939579\pi\)
\(60\) −2.89134 + 3.41176i −0.373271 + 0.440457i
\(61\) 3.76061 + 11.5740i 0.481496 + 1.48189i 0.836992 + 0.547215i \(0.184312\pi\)
−0.355496 + 0.934678i \(0.615688\pi\)
\(62\) −9.70169 3.90273i −1.23212 0.495647i
\(63\) 0.222678 0.113460i 0.0280548 0.0142946i
\(64\) −0.764188 + 7.96342i −0.0955234 + 0.995427i
\(65\) −0.360597 0.229309i −0.0447266 0.0284423i
\(66\) −1.46094 3.42738i −0.179830 0.421882i
\(67\) 10.2944 1.63047i 1.25766 0.199193i 0.508196 0.861242i \(-0.330313\pi\)
0.749461 + 0.662048i \(0.230313\pi\)
\(68\) 1.16583 + 1.53743i 0.141377 + 0.186441i
\(69\) −1.43736 + 1.97835i −0.173038 + 0.238166i
\(70\) −0.790291 0.00505473i −0.0944579 0.000604155i
\(71\) 5.12235 + 7.05030i 0.607911 + 0.836717i 0.996404 0.0847346i \(-0.0270042\pi\)
−0.388493 + 0.921452i \(0.627004\pi\)
\(72\) 1.16211 + 2.57866i 0.136955 + 0.303899i
\(73\) −4.09140 2.08467i −0.478862 0.243993i 0.197861 0.980230i \(-0.436601\pi\)
−0.676723 + 0.736238i \(0.736601\pi\)
\(74\) 10.7693 + 12.3510i 1.25191 + 1.43577i
\(75\) 3.07182 3.94511i 0.354704 0.455542i
\(76\) 7.62607 + 1.04832i 0.874770 + 0.120251i
\(77\) 0.298912 0.586648i 0.0340642 0.0668547i
\(78\) −0.228985 + 0.143566i −0.0259274 + 0.0162557i
\(79\) −9.57962 + 6.96000i −1.07779 + 0.783061i −0.977297 0.211876i \(-0.932043\pi\)
−0.100495 + 0.994938i \(0.532043\pi\)
\(80\) 0.484816 8.93112i 0.0542040 0.998530i
\(81\) 0.809017 + 0.587785i 0.0898908 + 0.0653095i
\(82\) 7.53555 + 0.515516i 0.832162 + 0.0569292i
\(83\) 1.04899 + 6.62308i 0.115142 + 0.726978i 0.975941 + 0.218033i \(0.0699641\pi\)
−0.860799 + 0.508944i \(0.830036\pi\)
\(84\) −0.217757 + 0.449907i −0.0237592 + 0.0490889i
\(85\) −1.37352 1.66343i −0.148979 0.180424i
\(86\) −6.20993 + 10.3705i −0.669634 + 1.11828i
\(87\) 2.10419 + 4.12970i 0.225592 + 0.442750i
\(88\) 6.47000 + 3.69652i 0.689705 + 0.394051i
\(89\) 13.6637 4.43960i 1.44835 0.470596i 0.523858 0.851806i \(-0.324492\pi\)
0.924489 + 0.381209i \(0.124492\pi\)
\(90\) −1.41759 2.82673i −0.149427 0.297964i
\(91\) −0.0454238 0.0147591i −0.00476171 0.00154717i
\(92\) −0.100107 4.88974i −0.0104369 0.509790i
\(93\) 5.22863 5.22863i 0.542183 0.542183i
\(94\) 8.32683 0.741161i 0.858847 0.0764449i
\(95\) −8.56744 0.817841i −0.879001 0.0839087i
\(96\) −4.96814 2.70510i −0.507059 0.276089i
\(97\) −4.05542 0.642315i −0.411765 0.0652172i −0.0528846 0.998601i \(-0.516842\pi\)
−0.358881 + 0.933383i \(0.616842\pi\)
\(98\) 9.51614 2.38789i 0.961275 0.241214i
\(99\) 2.63451 0.264778
\(100\) −0.127915 + 9.99918i −0.0127915 + 0.999918i
\(101\) 6.83240 0.679849 0.339925 0.940453i \(-0.389598\pi\)
0.339925 + 0.940453i \(0.389598\pi\)
\(102\) −1.32331 + 0.332060i −0.131027 + 0.0328788i
\(103\) −8.36102 1.32426i −0.823836 0.130483i −0.269738 0.962934i \(-0.586937\pi\)
−0.554099 + 0.832451i \(0.686937\pi\)
\(104\) 0.191426 0.505507i 0.0187708 0.0495690i
\(105\) 0.222412 0.512665i 0.0217052 0.0500310i
\(106\) −1.55015 + 0.137977i −0.150564 + 0.0134015i
\(107\) −9.24105 + 9.24105i −0.893366 + 0.893366i −0.994838 0.101472i \(-0.967645\pi\)
0.101472 + 0.994838i \(0.467645\pi\)
\(108\) −1.99958 + 0.0409374i −0.192410 + 0.00393920i
\(109\) −16.9198 5.49758i −1.62062 0.526573i −0.648535 0.761185i \(-0.724618\pi\)
−0.972089 + 0.234612i \(0.924618\pi\)
\(110\) −7.39869 3.82962i −0.705437 0.365140i
\(111\) −11.0201 + 3.58063i −1.04598 + 0.339859i
\(112\) −0.196663 0.980133i −0.0185829 0.0926139i
\(113\) −6.56615 12.8868i −0.617691 1.21229i −0.961902 0.273395i \(-0.911853\pi\)
0.344211 0.938892i \(-0.388147\pi\)
\(114\) −2.79639 + 4.66992i −0.261906 + 0.437378i
\(115\) 0.338304 + 5.45756i 0.0315470 + 0.508920i
\(116\) −8.34380 4.03843i −0.774703 0.374959i
\(117\) −0.0298960 0.188756i −0.00276389 0.0174505i
\(118\) −0.411401 0.0281445i −0.0378726 0.00259091i
\(119\) −0.195057 0.141717i −0.0178808 0.0129912i
\(120\) 5.67507 + 2.79170i 0.518061 + 0.254846i
\(121\) −3.28408 + 2.38602i −0.298553 + 0.216911i
\(122\) 14.5815 9.14212i 1.32014 0.827688i
\(123\) −2.42471 + 4.75877i −0.218629 + 0.429084i
\(124\) −2.01401 + 14.6510i −0.180864 + 1.31570i
\(125\) −0.320238 11.1758i −0.0286429 0.999590i
\(126\) −0.232277 0.266392i −0.0206929 0.0237321i
\(127\) −0.529736 0.269914i −0.0470064 0.0239510i 0.430329 0.902672i \(-0.358397\pi\)
−0.477336 + 0.878721i \(0.658397\pi\)
\(128\) 11.1864 1.69277i 0.988743 0.149621i
\(129\) −5.02393 6.91484i −0.442332 0.608818i
\(130\) −0.190423 + 0.573555i −0.0167012 + 0.0503041i
\(131\) 7.32463 10.0815i 0.639956 0.880824i −0.358657 0.933469i \(-0.616765\pi\)
0.998613 + 0.0526455i \(0.0167653\pi\)
\(132\) −4.19844 + 3.18366i −0.365428 + 0.277102i
\(133\) −0.950062 + 0.150475i −0.0823808 + 0.0130478i
\(134\) −5.77980 13.5594i −0.499298 1.17136i
\(135\) 2.23178 0.138344i 0.192081 0.0119067i
\(136\) 1.70760 2.12833i 0.146425 0.182503i
\(137\) −9.74532 + 4.96549i −0.832599 + 0.424230i −0.817690 0.575659i \(-0.804746\pi\)
−0.0149087 + 0.999889i \(0.504746\pi\)
\(138\) 3.20842 + 1.29066i 0.273119 + 0.109868i
\(139\) −4.43695 13.6555i −0.376337 1.15825i −0.942572 0.334003i \(-0.891600\pi\)
0.566235 0.824244i \(-0.308400\pi\)
\(140\) 0.265084 + 1.08577i 0.0224037 + 0.0917646i
\(141\) −1.82667 + 5.62192i −0.153834 + 0.473451i
\(142\) 7.90771 9.45296i 0.663600 0.793275i
\(143\) −0.356013 0.356013i −0.0297713 0.0297713i
\(144\) 3.13713 2.48162i 0.261427 0.206802i
\(145\) 9.50769 + 4.12477i 0.789571 + 0.342543i
\(146\) −1.45127 + 6.32967i −0.120108 + 0.523847i
\(147\) −1.08527 + 6.85213i −0.0895116 + 0.565154i
\(148\) 13.2349 19.0233i 1.08790 1.56371i
\(149\) 10.2756i 0.841808i −0.907105 0.420904i \(-0.861713\pi\)
0.907105 0.420904i \(-0.138287\pi\)
\(150\) −6.46878 2.85568i −0.528174 0.233165i
\(151\) 18.7598i 1.52665i 0.646016 + 0.763324i \(0.276434\pi\)
−0.646016 + 0.763324i \(0.723566\pi\)
\(152\) −1.18691 10.8214i −0.0962712 0.877733i
\(153\) 0.150917 0.952856i 0.0122010 0.0770338i
\(154\) −0.907582 0.208090i −0.0731351 0.0167684i
\(155\) 1.57121 16.4595i 0.126203 1.32206i
\(156\) 0.275744 + 0.264680i 0.0220772 + 0.0211914i
\(157\) −5.56867 5.56867i −0.444428 0.444428i 0.449069 0.893497i \(-0.351756\pi\)
−0.893497 + 0.449069i \(0.851756\pi\)
\(158\) 12.8442 + 10.7446i 1.02183 + 0.854797i
\(159\) 0.340059 1.04659i 0.0269684 0.0830003i
\(160\) −12.4176 + 2.40907i −0.981696 + 0.190453i
\(161\) 0.188853 + 0.581231i 0.0148837 + 0.0458074i
\(162\) 0.527795 1.31203i 0.0414675 0.103083i
\(163\) 0.388509 0.197955i 0.0304304 0.0155050i −0.438709 0.898629i \(-0.644564\pi\)
0.469139 + 0.883124i \(0.344564\pi\)
\(164\) −1.88660 10.5139i −0.147319 0.820995i
\(165\) 4.54252 3.75084i 0.353635 0.292003i
\(166\) 8.72374 3.71855i 0.677093 0.288615i
\(167\) −10.3937 + 1.64620i −0.804291 + 0.127387i −0.545026 0.838419i \(-0.683480\pi\)
−0.259265 + 0.965806i \(0.583480\pi\)
\(168\) 0.692084 + 0.143837i 0.0533954 + 0.0110972i
\(169\) 7.61974 10.4877i 0.586134 0.806744i
\(170\) −1.80894 + 2.45659i −0.138739 + 0.188412i
\(171\) −2.26232 3.11382i −0.173004 0.238120i
\(172\) 16.3625 + 4.94859i 1.24763 + 0.377326i
\(173\) −8.22786 4.19230i −0.625553 0.318735i 0.112323 0.993672i \(-0.464171\pi\)
−0.737876 + 0.674937i \(0.764171\pi\)
\(174\) 4.94040 4.30772i 0.374530 0.326568i
\(175\) −0.346408 1.20061i −0.0261860 0.0907577i
\(176\) 2.84351 10.1472i 0.214337 0.764871i
\(177\) 0.132377 0.259804i 0.00995004 0.0195281i
\(178\) −10.7928 17.2142i −0.808952 1.29026i
\(179\) 16.6746 12.1148i 1.24632 0.905503i 0.248315 0.968679i \(-0.420123\pi\)
0.998002 + 0.0631765i \(0.0201231\pi\)
\(180\) −3.38946 + 2.91745i −0.252636 + 0.217454i
\(181\) −4.10735 2.98416i −0.305297 0.221811i 0.424579 0.905391i \(-0.360422\pi\)
−0.729876 + 0.683580i \(0.760422\pi\)
\(182\) −0.00461005 + 0.0673873i −0.000341719 + 0.00499508i
\(183\) 1.90374 + 12.0197i 0.140729 + 0.888525i
\(184\) −6.67273 + 1.82036i −0.491921 + 0.134198i
\(185\) −13.9033 + 21.8635i −1.02219 + 1.60743i
\(186\) −8.97173 5.37236i −0.657839 0.393920i
\(187\) −1.15386 2.26458i −0.0843788 0.165603i
\(188\) −3.88272 11.1667i −0.283177 0.814415i
\(189\) 0.237685 0.0772287i 0.0172891 0.00561756i
\(190\) 1.82708 + 12.0334i 0.132550 + 0.872991i
\(191\) 9.33935 + 3.03454i 0.675772 + 0.219571i 0.626743 0.779226i \(-0.284388\pi\)
0.0490284 + 0.998797i \(0.484388\pi\)
\(192\) −2.00053 + 7.74583i −0.144376 + 0.559007i
\(193\) 13.1195 13.1195i 0.944361 0.944361i −0.0541709 0.998532i \(-0.517252\pi\)
0.998532 + 0.0541709i \(0.0172516\pi\)
\(194\) 0.514814 + 5.78385i 0.0369615 + 0.415256i
\(195\) −0.320286 0.282896i −0.0229362 0.0202586i
\(196\) −6.55089 12.2313i −0.467920 0.873662i
\(197\) 15.4704 + 2.45027i 1.10222 + 0.174574i 0.680928 0.732351i \(-0.261577\pi\)
0.421292 + 0.906925i \(0.361577\pi\)
\(198\) −0.906796 3.61373i −0.0644432 0.256816i
\(199\) −22.0119 −1.56038 −0.780191 0.625542i \(-0.784878\pi\)
−0.780191 + 0.625542i \(0.784878\pi\)
\(200\) 13.7598 3.26625i 0.972964 0.230958i
\(201\) 10.4227 0.735159
\(202\) −2.35170 9.37192i −0.165465 0.659406i
\(203\) 1.14407 + 0.181203i 0.0802981 + 0.0127180i
\(204\) 0.910965 + 1.70088i 0.0637803 + 0.119085i
\(205\) 2.59444 + 11.6574i 0.181203 + 0.814187i
\(206\) 1.06139 + 11.9245i 0.0739504 + 0.830821i
\(207\) −1.72915 + 1.72915i −0.120184 + 0.120184i
\(208\) −0.759286 0.0885817i −0.0526470 0.00614203i
\(209\) −9.64367 3.13342i −0.667067 0.216743i
\(210\) −0.779771 0.128621i −0.0538093 0.00887571i
\(211\) 15.8836 5.16089i 1.09347 0.355291i 0.293885 0.955841i \(-0.405052\pi\)
0.799587 + 0.600550i \(0.205052\pi\)
\(212\) 0.722820 + 2.07883i 0.0496435 + 0.142775i
\(213\) 3.95637 + 7.76481i 0.271086 + 0.532036i
\(214\) 15.8566 + 9.49508i 1.08393 + 0.649070i
\(215\) −18.5073 4.77008i −1.26219 0.325317i
\(216\) 0.744406 + 2.72871i 0.0506504 + 0.185665i
\(217\) −0.289089 1.82523i −0.0196246 0.123905i
\(218\) −1.71719 + 25.1010i −0.116303 + 1.70005i
\(219\) −3.71492 2.69904i −0.251031 0.182385i
\(220\) −2.70643 + 11.4668i −0.182467 + 0.773094i
\(221\) −0.149158 + 0.108369i −0.0100334 + 0.00728972i
\(222\) 8.70460 + 13.8836i 0.584215 + 0.931808i
\(223\) −9.86230 + 19.3559i −0.660429 + 1.29616i 0.281245 + 0.959636i \(0.409253\pi\)
−0.941673 + 0.336528i \(0.890747\pi\)
\(224\) −1.27675 + 0.607121i −0.0853062 + 0.0405650i
\(225\) 3.65116 3.41600i 0.243410 0.227733i
\(226\) −15.4166 + 13.4423i −1.02550 + 0.894170i
\(227\) 14.8153 + 7.54875i 0.983323 + 0.501028i 0.870277 0.492562i \(-0.163939\pi\)
0.113045 + 0.993590i \(0.463939\pi\)
\(228\) 7.36819 + 2.22840i 0.487970 + 0.147579i
\(229\) 5.47711 + 7.53859i 0.361937 + 0.498164i 0.950687 0.310151i \(-0.100380\pi\)
−0.588750 + 0.808315i \(0.700380\pi\)
\(230\) 7.36963 2.34253i 0.485939 0.154462i
\(231\) 0.387004 0.532665i 0.0254630 0.0350468i
\(232\) −2.66754 + 12.8351i −0.175133 + 0.842667i
\(233\) −13.6715 + 2.16536i −0.895652 + 0.141857i −0.587257 0.809401i \(-0.699792\pi\)
−0.308396 + 0.951258i \(0.599792\pi\)
\(234\) −0.248624 + 0.105978i −0.0162531 + 0.00692797i
\(235\) 4.85450 + 12.2942i 0.316672 + 0.801985i
\(236\) 0.102998 + 0.574002i 0.00670463 + 0.0373643i
\(237\) −10.5505 + 5.37573i −0.685326 + 0.349191i
\(238\) −0.127253 + 0.316336i −0.00824860 + 0.0205050i
\(239\) 0.321628 + 0.989869i 0.0208044 + 0.0640293i 0.960920 0.276827i \(-0.0892830\pi\)
−0.940115 + 0.340857i \(0.889283\pi\)
\(240\) 1.87598 8.74532i 0.121094 0.564508i
\(241\) −0.429404 + 1.32157i −0.0276603 + 0.0851298i −0.963934 0.266142i \(-0.914251\pi\)
0.936273 + 0.351272i \(0.114251\pi\)
\(242\) 4.40325 + 3.68346i 0.283052 + 0.236782i
\(243\) 0.707107 + 0.707107i 0.0453609 + 0.0453609i
\(244\) −17.5590 16.8545i −1.12410 1.07900i
\(245\) 7.88434 + 13.3598i 0.503712 + 0.853527i
\(246\) 7.36213 + 1.68799i 0.469392 + 0.107622i
\(247\) −0.115067 + 0.726502i −0.00732151 + 0.0462262i
\(248\) 20.7898 2.28026i 1.32016 0.144797i
\(249\) 6.70564i 0.424953i
\(250\) −15.2194 + 4.28595i −0.962560 + 0.271067i
\(251\) 12.8188i 0.809114i −0.914513 0.404557i \(-0.867426\pi\)
0.914513 0.404557i \(-0.132574\pi\)
\(252\) −0.285457 + 0.410303i −0.0179821 + 0.0258467i
\(253\) −1.00781 + 6.36307i −0.0633605 + 0.400043i
\(254\) −0.187903 + 0.819536i −0.0117901 + 0.0514223i
\(255\) −1.09639 1.85781i −0.0686589 0.116341i
\(256\) −6.17228 14.7615i −0.385768 0.922596i
\(257\) 10.9996 + 10.9996i 0.686135 + 0.686135i 0.961375 0.275241i \(-0.0887576\pi\)
−0.275241 + 0.961375i \(0.588758\pi\)
\(258\) −7.75577 + 9.27134i −0.482853 + 0.577208i
\(259\) −0.894862 + 2.75410i −0.0556040 + 0.171132i
\(260\) 0.852282 + 0.0637847i 0.0528563 + 0.00395576i
\(261\) 1.43225 + 4.40802i 0.0886542 + 0.272850i
\(262\) −16.3498 6.57707i −1.01009 0.406333i
\(263\) 6.19986 3.15899i 0.382300 0.194792i −0.252270 0.967657i \(-0.581177\pi\)
0.634570 + 0.772865i \(0.281177\pi\)
\(264\) 5.81208 + 4.66314i 0.357709 + 0.286997i
\(265\) −0.903728 2.28873i −0.0555156 0.140595i
\(266\) 0.533415 + 1.25140i 0.0327058 + 0.0767280i
\(267\) 14.1900 2.24747i 0.868411 0.137543i
\(268\) −16.6099 + 12.5952i −1.01461 + 0.769376i
\(269\) 10.5934 14.5805i 0.645889 0.888990i −0.353024 0.935614i \(-0.614846\pi\)
0.998912 + 0.0466246i \(0.0148464\pi\)
\(270\) −0.957942 3.01369i −0.0582985 0.183408i
\(271\) 1.80316 + 2.48183i 0.109534 + 0.150761i 0.860265 0.509848i \(-0.170298\pi\)
−0.750731 + 0.660609i \(0.770298\pi\)
\(272\) −3.50716 1.60972i −0.212653 0.0976038i
\(273\) −0.0425557 0.0216832i −0.00257559 0.00131233i
\(274\) 10.1654 + 11.6584i 0.614116 + 0.704311i
\(275\) 2.49217 12.9347i 0.150284 0.779989i
\(276\) 0.666048 4.84520i 0.0400914 0.291647i
\(277\) 6.03868 11.8516i 0.362829 0.712092i −0.635362 0.772215i \(-0.719149\pi\)
0.998191 + 0.0601222i \(0.0191490\pi\)
\(278\) −17.2039 + 10.7863i −1.03182 + 0.646921i
\(279\) 5.98219 4.34632i 0.358144 0.260207i
\(280\) 1.39810 0.737334i 0.0835524 0.0440641i
\(281\) −17.4485 12.6771i −1.04089 0.756251i −0.0704309 0.997517i \(-0.522437\pi\)
−0.970459 + 0.241266i \(0.922437\pi\)
\(282\) 8.34025 + 0.570567i 0.496655 + 0.0339767i
\(283\) −2.15332 13.5956i −0.128002 0.808172i −0.965246 0.261343i \(-0.915835\pi\)
0.837244 0.546829i \(-0.184165\pi\)
\(284\) −15.6883 7.59321i −0.930932 0.450574i
\(285\) −8.33402 2.14801i −0.493665 0.127237i
\(286\) −0.365800 + 0.610878i −0.0216302 + 0.0361220i
\(287\) 0.605978 + 1.18930i 0.0357697 + 0.0702021i
\(288\) −4.48380 3.44899i −0.264211 0.203234i
\(289\) 15.2828 4.96568i 0.898988 0.292099i
\(290\) 2.38536 14.4613i 0.140073 0.849198i
\(291\) −3.90501 1.26881i −0.228916 0.0743792i
\(292\) 9.18185 0.187980i 0.537327 0.0110007i
\(293\) −6.36868 + 6.36868i −0.372062 + 0.372062i −0.868228 0.496166i \(-0.834741\pi\)
0.496166 + 0.868228i \(0.334741\pi\)
\(294\) 9.77253 0.869841i 0.569946 0.0507302i
\(295\) −0.141643 0.636432i −0.00824676 0.0370545i
\(296\) −30.6495 11.6064i −1.78147 0.674608i
\(297\) 2.60208 + 0.412129i 0.150988 + 0.0239141i
\(298\) −14.0949 + 3.53684i −0.816495 + 0.204884i
\(299\) 0.467334 0.0270266
\(300\) −1.69056 + 9.85606i −0.0976044 + 0.569040i
\(301\) −2.13610 −0.123123
\(302\) 25.7325 6.45709i 1.48074 0.371564i
\(303\) 6.74828 + 1.06882i 0.387679 + 0.0614023i
\(304\) −14.4351 + 5.35279i −0.827908 + 0.307004i
\(305\) 20.3954 + 18.0145i 1.16784 + 1.03150i
\(306\) −1.35897 + 0.120960i −0.0776869 + 0.00691482i
\(307\) 19.8224 19.8224i 1.13132 1.13132i 0.141365 0.989957i \(-0.454851\pi\)
0.989957 0.141365i \(-0.0451492\pi\)
\(308\) 0.0269536 + 1.31654i 0.00153582 + 0.0750171i
\(309\) −8.05093 2.61590i −0.458001 0.148814i
\(310\) −23.1182 + 3.51014i −1.31302 + 0.199362i
\(311\) 5.86739 1.90643i 0.332709 0.108104i −0.137898 0.990446i \(-0.544035\pi\)
0.470608 + 0.882343i \(0.344035\pi\)
\(312\) 0.268148 0.469338i 0.0151809 0.0265710i
\(313\) 11.1734 + 21.9291i 0.631560 + 1.23951i 0.955935 + 0.293578i \(0.0948460\pi\)
−0.324375 + 0.945929i \(0.605154\pi\)
\(314\) −5.72175 + 9.55520i −0.322897 + 0.539231i
\(315\) 0.299872 0.471561i 0.0168959 0.0265694i
\(316\) 10.3173 21.3166i 0.580393 1.19915i
\(317\) 2.63873 + 16.6603i 0.148206 + 0.935735i 0.943947 + 0.330098i \(0.107082\pi\)
−0.795741 + 0.605637i \(0.792918\pi\)
\(318\) −1.55265 0.106218i −0.0870682 0.00595644i
\(319\) 9.87859 + 7.17722i 0.553095 + 0.401847i
\(320\) 7.57860 + 16.2039i 0.423657 + 0.905823i
\(321\) −10.5729 + 7.68166i −0.590122 + 0.428748i
\(322\) 0.732265 0.459107i 0.0408075 0.0255850i
\(323\) −1.68574 + 3.30844i −0.0937969 + 0.184087i
\(324\) −1.98137 0.272370i −0.110076 0.0151317i
\(325\) −0.955016 0.0317775i −0.0529748 0.00176270i
\(326\) −0.405257 0.464777i −0.0224451 0.0257416i
\(327\) −15.8515 8.07674i −0.876589 0.446645i
\(328\) −13.7724 + 6.20668i −0.760452 + 0.342707i
\(329\) 0.868346 + 1.19518i 0.0478735 + 0.0658922i
\(330\) −6.70851 4.93988i −0.369291 0.271932i
\(331\) 0.146758 0.201995i 0.00806656 0.0111027i −0.804965 0.593323i \(-0.797816\pi\)
0.813031 + 0.582220i \(0.197816\pi\)
\(332\) −8.10338 10.6863i −0.444731 0.586488i
\(333\) −11.4445 + 1.81263i −0.627156 + 0.0993317i
\(334\) 5.83559 + 13.6903i 0.319309 + 0.749101i
\(335\) 17.9712 14.8391i 0.981869 0.810747i
\(336\) −0.0409152 0.998831i −0.00223211 0.0544907i
\(337\) −5.73749 + 2.92340i −0.312541 + 0.159248i −0.603224 0.797572i \(-0.706117\pi\)
0.290683 + 0.956819i \(0.406117\pi\)
\(338\) −17.0085 6.84206i −0.925141 0.372159i
\(339\) −4.46937 13.7553i −0.242743 0.747086i
\(340\) 3.99231 + 1.63574i 0.216513 + 0.0887105i
\(341\) 6.01984 18.5272i 0.325993 1.00330i
\(342\) −3.49250 + 4.17497i −0.188853 + 0.225757i
\(343\) 2.46302 + 2.46302i 0.132990 + 0.132990i
\(344\) 1.15597 24.1475i 0.0623257 1.30195i
\(345\) −0.519612 + 5.44329i −0.0279750 + 0.293057i
\(346\) −2.91851 + 12.7290i −0.156900 + 0.684317i
\(347\) 1.70261 10.7499i 0.0914009 0.577083i −0.898901 0.438151i \(-0.855633\pi\)
0.990302 0.138931i \(-0.0443666\pi\)
\(348\) −7.60933 5.29397i −0.407903 0.283787i
\(349\) 9.51909i 0.509545i 0.967001 + 0.254773i \(0.0820006\pi\)
−0.967001 + 0.254773i \(0.917999\pi\)
\(350\) −1.52763 + 0.888412i −0.0816553 + 0.0474876i
\(351\) 0.191109i 0.0102006i
\(352\) −14.8975 0.407764i −0.794038 0.0217339i
\(353\) −4.37237 + 27.6061i −0.232718 + 1.46932i 0.543794 + 0.839219i \(0.316987\pi\)
−0.776511 + 0.630103i \(0.783013\pi\)
\(354\) −0.401934 0.0921553i −0.0213625 0.00489800i
\(355\) 17.8767 + 7.75555i 0.948798 + 0.411622i
\(356\) −19.8976 + 20.7294i −1.05457 + 1.09866i
\(357\) −0.170486 0.170486i −0.00902307 0.00902307i
\(358\) −22.3571 18.7024i −1.18161 0.988454i
\(359\) −11.0850 + 34.1161i −0.585043 + 1.80058i 0.0140544 + 0.999901i \(0.495526\pi\)
−0.599097 + 0.800676i \(0.704474\pi\)
\(360\) 5.16848 + 3.64510i 0.272403 + 0.192114i
\(361\) −1.29355 3.98114i −0.0680816 0.209534i
\(362\) −2.67960 + 6.66114i −0.140836 + 0.350102i
\(363\) −3.61690 + 1.84290i −0.189838 + 0.0967274i
\(364\) 0.0940211 0.0168711i 0.00492805 0.000884285i
\(365\) −10.2481 + 0.635260i −0.536410 + 0.0332510i
\(366\) 15.8321 6.74852i 0.827556 0.352751i
\(367\) 8.15534 1.29168i 0.425705 0.0674251i 0.0600940 0.998193i \(-0.480860\pi\)
0.365611 + 0.930768i \(0.380860\pi\)
\(368\) 4.79371 + 8.52634i 0.249889 + 0.444466i
\(369\) −3.13930 + 4.32087i −0.163425 + 0.224936i
\(370\) 34.7753 + 11.5456i 1.80788 + 0.600228i
\(371\) −0.161654 0.222498i −0.00839266 0.0115515i
\(372\) −4.28114 + 14.1556i −0.221967 + 0.733932i
\(373\) −16.8009 8.56049i −0.869918 0.443245i −0.0387386 0.999249i \(-0.512334\pi\)
−0.831180 + 0.556004i \(0.812334\pi\)
\(374\) −2.70914 + 2.36221i −0.140086 + 0.122147i
\(375\) 1.43198 11.0883i 0.0739470 0.572595i
\(376\) −13.9808 + 9.16945i −0.721005 + 0.472878i
\(377\) 0.402129 0.789222i 0.0207107 0.0406470i
\(378\) −0.187745 0.299448i −0.00965654 0.0154019i
\(379\) 5.75200 4.17907i 0.295460 0.214664i −0.430172 0.902747i \(-0.641547\pi\)
0.725633 + 0.688082i \(0.241547\pi\)
\(380\) 15.8771 6.64805i 0.814479 0.341038i
\(381\) −0.480990 0.349460i −0.0246419 0.0179034i
\(382\) 0.947847 13.8552i 0.0484961 0.708891i
\(383\) −4.72618 29.8399i −0.241497 1.52475i −0.748692 0.662918i \(-0.769318\pi\)
0.507195 0.861831i \(-0.330682\pi\)
\(384\) 11.3134 + 0.0780011i 0.577337 + 0.00398048i
\(385\) −0.0910870 1.46943i −0.00464222 0.0748890i
\(386\) −22.5115 13.4801i −1.14581 0.686120i
\(387\) −3.88035 7.61562i −0.197249 0.387124i
\(388\) 7.75644 2.69696i 0.393774 0.136917i
\(389\) 34.5907 11.2392i 1.75382 0.569851i 0.757290 0.653079i \(-0.226523\pi\)
0.996531 + 0.0832281i \(0.0265230\pi\)
\(390\) −0.277803 + 0.536705i −0.0140671 + 0.0271771i
\(391\) 2.24367 + 0.729014i 0.113468 + 0.0368678i
\(392\) −14.5227 + 13.1958i −0.733506 + 0.666486i
\(393\) 8.81154 8.81154i 0.444484 0.444484i
\(394\) −1.96388 22.0639i −0.0989390 1.11156i
\(395\) −10.5379 + 24.2901i −0.530218 + 1.22217i
\(396\) −4.64479 + 2.48768i −0.233409 + 0.125011i
\(397\) 35.1495 + 5.56713i 1.76410 + 0.279406i 0.952441 0.304724i \(-0.0985641\pi\)
0.811660 + 0.584130i \(0.198564\pi\)
\(398\) 7.57646 + 30.1934i 0.379774 + 1.51346i
\(399\) −0.961905 −0.0481555
\(400\) −9.21637 17.7499i −0.460818 0.887494i
\(401\) −8.79529 −0.439216 −0.219608 0.975588i \(-0.570478\pi\)
−0.219608 + 0.975588i \(0.570478\pi\)
\(402\) −3.58747 14.2967i −0.178927 0.713053i
\(403\) −1.39574 0.221063i −0.0695266 0.0110119i
\(404\) −12.0459 + 6.45161i −0.599306 + 0.320979i
\(405\) 2.22595 + 0.212487i 0.110608 + 0.0105586i
\(406\) −0.145234 1.63168i −0.00720783 0.0809789i
\(407\) −21.5855 + 21.5855i −1.06996 + 1.06996i
\(408\) 2.01952 1.83500i 0.0999811 0.0908460i
\(409\) −9.78051 3.17788i −0.483615 0.157136i 0.0570545 0.998371i \(-0.481829\pi\)
−0.540670 + 0.841235i \(0.681829\pi\)
\(410\) 15.0973 7.57122i 0.745602 0.373916i
\(411\) −10.4021 + 3.37985i −0.513098 + 0.166716i
\(412\) 15.9914 5.56030i 0.787839 0.273936i
\(413\) −0.0330832 0.0649295i −0.00162792 0.00319497i
\(414\) 2.96702 + 1.77668i 0.145821 + 0.0873189i
\(415\) 9.54703 + 11.5621i 0.468645 + 0.567561i
\(416\) 0.139839 + 1.07199i 0.00685616 + 0.0525588i
\(417\) −2.24613 14.1815i −0.109993 0.694471i
\(418\) −0.978733 + 14.3066i −0.0478714 + 0.699760i
\(419\) 13.2984 + 9.66189i 0.649672 + 0.472014i 0.863159 0.504932i \(-0.168482\pi\)
−0.213488 + 0.976946i \(0.568482\pi\)
\(420\) 0.0919678 + 1.11387i 0.00448757 + 0.0543515i
\(421\) 15.0738 10.9517i 0.734650 0.533755i −0.156381 0.987697i \(-0.549983\pi\)
0.891031 + 0.453942i \(0.149983\pi\)
\(422\) −12.5462 20.0110i −0.610742 0.974118i
\(423\) −2.68364 + 5.26695i −0.130483 + 0.256088i
\(424\) 2.60271 1.70701i 0.126399 0.0828999i
\(425\) −4.53547 1.64233i −0.220003 0.0796649i
\(426\) 9.28912 8.09954i 0.450059 0.392424i
\(427\) 2.70990 + 1.38076i 0.131141 + 0.0668197i
\(428\) 7.56647 25.0185i 0.365739 1.20931i
\(429\) −0.295937 0.407323i −0.0142880 0.0196657i
\(430\) −0.172873 + 27.0281i −0.00833666 + 1.30341i
\(431\) −14.7504 + 20.3021i −0.710500 + 0.977920i 0.289286 + 0.957243i \(0.406582\pi\)
−0.999786 + 0.0206770i \(0.993418\pi\)
\(432\) 3.48671 1.96031i 0.167755 0.0943155i
\(433\) 6.23259 0.987146i 0.299519 0.0474392i −0.00486610 0.999988i \(-0.501549\pi\)
0.304385 + 0.952549i \(0.401549\pi\)
\(434\) −2.40415 + 1.02478i −0.115403 + 0.0491911i
\(435\) 8.74538 + 5.56132i 0.419309 + 0.266645i
\(436\) 35.0217 6.28427i 1.67724 0.300962i
\(437\) 8.38616 4.27296i 0.401164 0.204404i
\(438\) −2.42358 + 6.02471i −0.115803 + 0.287872i
\(439\) −2.09652 6.45241i −0.100061 0.307957i 0.888478 0.458919i \(-0.151763\pi\)
−0.988540 + 0.150962i \(0.951763\pi\)
\(440\) 16.6605 0.234498i 0.794257 0.0111792i
\(441\) −2.14382 + 6.59799i −0.102087 + 0.314190i
\(442\) 0.199989 + 0.167297i 0.00951250 + 0.00795752i
\(443\) −26.2759 26.2759i −1.24840 1.24840i −0.956424 0.291981i \(-0.905686\pi\)
−0.291981 0.956424i \(-0.594314\pi\)
\(444\) 16.0479 16.7187i 0.761599 0.793435i
\(445\) 21.2670 24.0779i 1.00815 1.14140i
\(446\) 29.9448 + 6.86574i 1.41793 + 0.325102i
\(447\) 1.60745 10.1491i 0.0760300 0.480035i
\(448\) 1.27223 + 1.54233i 0.0601074 + 0.0728681i
\(449\) 12.3345i 0.582103i 0.956707 + 0.291052i \(0.0940051\pi\)
−0.956707 + 0.291052i \(0.905995\pi\)
\(450\) −5.94241 3.83246i −0.280128 0.180664i
\(451\) 14.0707i 0.662561i
\(452\) 23.7450 + 16.5199i 1.11687 + 0.777032i
\(453\) −2.93467 + 18.5288i −0.137883 + 0.870559i
\(454\) 5.25513 22.9202i 0.246636 1.07570i
\(455\) −0.104247 + 0.0232010i −0.00488718 + 0.00108768i
\(456\) 0.520545 10.8739i 0.0243767 0.509215i
\(457\) −21.1144 21.1144i −0.987689 0.987689i 0.0122358 0.999925i \(-0.496105\pi\)
−0.999925 + 0.0122358i \(0.996105\pi\)
\(458\) 8.45538 10.1077i 0.395094 0.472299i
\(459\) 0.298119 0.917516i 0.0139150 0.0428260i
\(460\) −5.74984 9.30253i −0.268088 0.433733i
\(461\) −12.6107 38.8117i −0.587339 1.80764i −0.589669 0.807645i \(-0.700742\pi\)
0.00233064 0.999997i \(-0.499258\pi\)
\(462\) −0.863856 0.347506i −0.0401902 0.0161674i
\(463\) 35.5965 18.1373i 1.65431 0.842913i 0.658390 0.752677i \(-0.271238\pi\)
0.995920 0.0902367i \(-0.0287623\pi\)
\(464\) 18.5239 0.758798i 0.859952 0.0352263i
\(465\) 4.12671 16.0111i 0.191372 0.742497i
\(466\) 7.67592 + 18.0078i 0.355580 + 0.834194i
\(467\) −20.1169 + 3.18620i −0.930899 + 0.147440i −0.603424 0.797420i \(-0.706198\pi\)
−0.327474 + 0.944860i \(0.606198\pi\)
\(468\) 0.230944 + 0.304557i 0.0106754 + 0.0140782i
\(469\) 1.53107 2.10733i 0.0706981 0.0973076i
\(470\) 15.1929 10.8905i 0.700796 0.502341i
\(471\) −4.62898 6.37124i −0.213292 0.293571i
\(472\) 0.751899 0.338852i 0.0346090 0.0155969i
\(473\) −20.0635 10.2228i −0.922519 0.470047i
\(474\) 11.0053 + 12.6216i 0.505489 + 0.579730i
\(475\) −17.4280 + 8.16174i −0.799652 + 0.374486i
\(476\) 0.477714 + 0.0656693i 0.0218960 + 0.00300995i
\(477\) 0.499596 0.980512i 0.0228749 0.0448945i
\(478\) 1.24709 0.781885i 0.0570404 0.0357626i
\(479\) −5.74735 + 4.17569i −0.262603 + 0.190792i −0.711294 0.702895i \(-0.751890\pi\)
0.448691 + 0.893687i \(0.351890\pi\)
\(480\) −12.6416 + 0.436867i −0.577006 + 0.0199402i
\(481\) 1.79150 + 1.30160i 0.0816853 + 0.0593478i
\(482\) 1.96058 + 0.134126i 0.0893020 + 0.00610926i
\(483\) 0.0956038 + 0.603618i 0.00435012 + 0.0274656i
\(484\) 3.53697 7.30773i 0.160771 0.332170i
\(485\) −8.53961 + 3.37195i −0.387764 + 0.153113i
\(486\) 0.726544 1.21331i 0.0329567 0.0550371i
\(487\) −12.3757 24.2887i −0.560798 1.10063i −0.981147 0.193265i \(-0.938092\pi\)
0.420349 0.907363i \(-0.361908\pi\)
\(488\) −17.0753 + 29.8868i −0.772963 + 1.35291i
\(489\) 0.414693 0.134742i 0.0187531 0.00609324i
\(490\) 15.6117 15.4133i 0.705265 0.696301i
\(491\) −26.7341 8.68645i −1.20650 0.392014i −0.364349 0.931263i \(-0.618708\pi\)
−0.842147 + 0.539249i \(0.818708\pi\)
\(492\) −0.218642 10.6795i −0.00985714 0.481471i
\(493\) 3.16176 3.16176i 0.142399 0.142399i
\(494\) 1.03614 0.0922256i 0.0466181 0.00414942i
\(495\) 5.07335 2.99406i 0.228030 0.134573i
\(496\) −10.2836 27.7323i −0.461749 1.24522i
\(497\) 2.15113 + 0.340705i 0.0964913 + 0.0152827i
\(498\) 9.19804 2.30807i 0.412174 0.103427i
\(499\) 13.3239 0.596461 0.298231 0.954494i \(-0.403604\pi\)
0.298231 + 0.954494i \(0.403604\pi\)
\(500\) 11.1175 + 19.4011i 0.497189 + 0.867642i
\(501\) −10.5233 −0.470146
\(502\) −17.5834 + 4.41221i −0.784784 + 0.196926i
\(503\) 40.2547 + 6.37572i 1.79487 + 0.284279i 0.962765 0.270339i \(-0.0871358\pi\)
0.832105 + 0.554619i \(0.187136\pi\)
\(504\) 0.661062 + 0.250332i 0.0294460 + 0.0111507i
\(505\) 13.1573 7.76485i 0.585494 0.345531i
\(506\) 9.07503 0.807758i 0.403434 0.0359092i
\(507\) 9.16656 9.16656i 0.407101 0.407101i
\(508\) 1.18882 0.0243387i 0.0527455 0.00107986i
\(509\) −24.0302 7.80790i −1.06512 0.346079i −0.276536 0.961004i \(-0.589186\pi\)
−0.788586 + 0.614925i \(0.789186\pi\)
\(510\) −2.17096 + 2.14337i −0.0961318 + 0.0949099i
\(511\) −1.09142 + 0.354625i −0.0482818 + 0.0156877i
\(512\) −18.1237 + 13.5473i −0.800963 + 0.598714i
\(513\) −1.74736 3.42939i −0.0771479 0.151411i
\(514\) 11.3019 18.8740i 0.498507 0.832497i
\(515\) −17.6060 + 6.95193i −0.775815 + 0.306339i
\(516\) 15.3869 + 7.44732i 0.677371 + 0.327850i
\(517\) 2.43619 + 15.3815i 0.107143 + 0.676477i
\(518\) 4.08578 + 0.279513i 0.179519 + 0.0122811i
\(519\) −7.47074 5.42781i −0.327929 0.238254i
\(520\) −0.205861 1.19102i −0.00902762 0.0522296i
\(521\) 4.81010 3.49474i 0.210734 0.153108i −0.477412 0.878680i \(-0.658425\pi\)
0.688146 + 0.725572i \(0.258425\pi\)
\(522\) 5.55345 3.48184i 0.243068 0.152396i
\(523\) −20.2406 + 39.7244i −0.885059 + 1.73703i −0.243587 + 0.969879i \(0.578324\pi\)
−0.641472 + 0.767147i \(0.721676\pi\)
\(524\) −3.39411 + 24.6906i −0.148273 + 1.07861i
\(525\) −0.154326 1.24002i −0.00673533 0.0541189i
\(526\) −6.46713 7.41696i −0.281980 0.323395i
\(527\) −6.35610 3.23859i −0.276876 0.141075i
\(528\) 4.39587 9.57741i 0.191306 0.416803i
\(529\) 10.0042 + 13.7696i 0.434964 + 0.598677i
\(530\) −2.82836 + 2.02741i −0.122856 + 0.0880651i
\(531\) 0.171389 0.235897i 0.00743766 0.0102371i
\(532\) 1.53292 1.16241i 0.0664606 0.0503967i
\(533\) 1.00813 0.159671i 0.0436668 0.00691614i
\(534\) −7.96699 18.6906i −0.344765 0.808822i
\(535\) −7.29353 + 28.2980i −0.315327 + 1.22343i
\(536\) 22.9938 + 18.4484i 0.993182 + 0.796849i
\(537\) 18.3645 9.35717i 0.792486 0.403792i
\(538\) −23.6461 9.51220i −1.01946 0.410100i
\(539\) 5.64792 + 17.3825i 0.243273 + 0.748717i
\(540\) −3.80412 + 2.35131i −0.163703 + 0.101184i
\(541\) −0.192846 + 0.593520i −0.00829111 + 0.0255174i −0.955116 0.296230i \(-0.904270\pi\)
0.946825 + 0.321748i \(0.104270\pi\)
\(542\) 2.78365 3.32761i 0.119568 0.142933i
\(543\) −3.58995 3.58995i −0.154060 0.154060i
\(544\) −1.00088 + 5.36479i −0.0429124 + 0.230013i
\(545\) −38.8308 + 8.64209i −1.66333 + 0.370186i
\(546\) −0.0150950 + 0.0658365i −0.000646006 + 0.00281754i
\(547\) −2.59743 + 16.3996i −0.111058 + 0.701194i 0.867840 + 0.496844i \(0.165508\pi\)
−0.978898 + 0.204350i \(0.934492\pi\)
\(548\) 12.4928 17.9566i 0.533665 0.767068i
\(549\) 12.1696i 0.519385i
\(550\) −18.6001 + 1.03361i −0.793112 + 0.0440732i
\(551\) 17.8391i 0.759972i
\(552\) −6.87535 + 0.754100i −0.292634 + 0.0320966i
\(553\) −0.462934 + 2.92285i −0.0196860 + 0.124292i
\(554\) −18.3352 4.20389i −0.778987 0.178606i
\(555\) −17.1523 + 19.4193i −0.728076 + 0.824305i
\(556\) 20.7170 + 19.8858i 0.878598 + 0.843345i
\(557\) 4.95983 + 4.95983i 0.210155 + 0.210155i 0.804333 0.594178i \(-0.202523\pi\)
−0.594178 + 0.804333i \(0.702523\pi\)
\(558\) −8.02085 6.70970i −0.339550 0.284044i
\(559\) −0.504764 + 1.55350i −0.0213492 + 0.0657062i
\(560\) −1.49262 1.66397i −0.0630745 0.0703154i
\(561\) −0.785398 2.41721i −0.0331595 0.102055i
\(562\) −11.3832 + 28.2973i −0.480173 + 1.19365i
\(563\) 13.2206 6.73624i 0.557183 0.283899i −0.152637 0.988282i \(-0.548777\pi\)
0.709819 + 0.704384i \(0.248777\pi\)
\(564\) −2.08806 11.6366i −0.0879234 0.489990i
\(565\) −27.2901 17.3542i −1.14810 0.730096i
\(566\) −17.9077 + 7.63326i −0.752716 + 0.320850i
\(567\) 0.246840 0.0390957i 0.0103663 0.00164186i
\(568\) −5.01561 + 24.1331i −0.210450 + 1.01260i
\(569\) −15.6861 + 21.5900i −0.657595 + 0.905102i −0.999399 0.0346696i \(-0.988962\pi\)
0.341804 + 0.939771i \(0.388962\pi\)
\(570\) −0.0778462 + 12.1710i −0.00326062 + 0.509788i
\(571\) −27.7669 38.2179i −1.16201 1.59937i −0.703534 0.710661i \(-0.748396\pi\)
−0.458475 0.888707i \(-0.651604\pi\)
\(572\) 0.963842 + 0.291500i 0.0403003 + 0.0121882i
\(573\) 8.74966 + 4.45817i 0.365522 + 0.186243i
\(574\) 1.42277 1.24057i 0.0593853 0.0517803i
\(575\) 6.85386 + 10.1253i 0.285826 + 0.422254i
\(576\) −3.18762 + 7.33751i −0.132817 + 0.305730i
\(577\) 9.35098 18.3523i 0.389286 0.764018i −0.610318 0.792157i \(-0.708958\pi\)
0.999604 + 0.0281393i \(0.00895819\pi\)
\(578\) −12.0717 19.2541i −0.502116 0.800863i
\(579\) 15.0103 10.9056i 0.623807 0.453222i
\(580\) −20.6575 + 1.70560i −0.857754 + 0.0708212i
\(581\) 1.35579 + 0.985042i 0.0562478 + 0.0408664i
\(582\) −0.396318 + 5.79318i −0.0164279 + 0.240135i
\(583\) −0.453529 2.86347i −0.0187832 0.118593i
\(584\) −3.41823 12.5299i −0.141447 0.518492i
\(585\) −0.272088 0.329517i −0.0112495 0.0136238i
\(586\) 10.9279 + 6.54374i 0.451428 + 0.270320i
\(587\) 15.5526 + 30.5238i 0.641926 + 1.25985i 0.951111 + 0.308849i \(0.0999437\pi\)
−0.309185 + 0.951002i \(0.600056\pi\)
\(588\) −4.55684 13.1055i −0.187921 0.540460i
\(589\) −27.0673 + 8.79470i −1.11529 + 0.362379i
\(590\) −0.824233 + 0.413349i −0.0339331 + 0.0170173i
\(591\) 14.8966 + 4.84020i 0.612765 + 0.199099i
\(592\) −5.37082 + 46.0365i −0.220739 + 1.89209i
\(593\) 22.8164 22.8164i 0.936957 0.936957i −0.0611702 0.998127i \(-0.519483\pi\)
0.998127 + 0.0611702i \(0.0194832\pi\)
\(594\) −0.330320 3.71109i −0.0135532 0.152268i
\(595\) −0.536684 0.0512314i −0.0220019 0.00210028i
\(596\) 9.70288 + 18.1164i 0.397446 + 0.742077i
\(597\) −21.7409 3.44342i −0.889795 0.140930i
\(598\) −0.160856 0.641036i −0.00657788 0.0262139i
\(599\) −17.5409 −0.716703 −0.358352 0.933587i \(-0.616661\pi\)
−0.358352 + 0.933587i \(0.616661\pi\)
\(600\) 14.1013 1.07353i 0.575684 0.0438266i
\(601\) −9.13668 −0.372693 −0.186347 0.982484i \(-0.559665\pi\)
−0.186347 + 0.982484i \(0.559665\pi\)
\(602\) 0.735241 + 2.93006i 0.0299662 + 0.119420i
\(603\) 10.2944 + 1.63047i 0.419219 + 0.0663977i
\(604\) −17.7142 33.0745i −0.720781 1.34578i
\(605\) −3.61259 + 8.32710i −0.146873 + 0.338545i
\(606\) −0.856659 9.62442i −0.0347994 0.390966i
\(607\) −5.75589 + 5.75589i −0.233624 + 0.233624i −0.814204 0.580579i \(-0.802826\pi\)
0.580579 + 0.814204i \(0.302826\pi\)
\(608\) 12.3109 + 17.9580i 0.499272 + 0.728293i
\(609\) 1.10164 + 0.357945i 0.0446407 + 0.0145046i
\(610\) 17.6901 34.1767i 0.716253 1.38377i
\(611\) 1.07440 0.349093i 0.0434655 0.0141228i
\(612\) 0.633674 + 1.82244i 0.0256147 + 0.0736679i
\(613\) 5.36315 + 10.5258i 0.216616 + 0.425132i 0.973587 0.228316i \(-0.0733218\pi\)
−0.756971 + 0.653448i \(0.773322\pi\)
\(614\) −34.0129 20.3673i −1.37265 0.821956i
\(615\) 0.738880 + 11.9197i 0.0297945 + 0.480650i
\(616\) 1.79661 0.490125i 0.0723875 0.0197477i
\(617\) 2.22140 + 14.0254i 0.0894303 + 0.564641i 0.991195 + 0.132413i \(0.0422724\pi\)
−0.901764 + 0.432228i \(0.857728\pi\)
\(618\) −0.817086 + 11.9437i −0.0328680 + 0.480448i
\(619\) 21.4280 + 15.5683i 0.861263 + 0.625744i 0.928228 0.372011i \(-0.121332\pi\)
−0.0669654 + 0.997755i \(0.521332\pi\)
\(620\) 12.7721 + 30.5027i 0.512938 + 1.22502i
\(621\) −1.97835 + 1.43736i −0.0793886 + 0.0576792i
\(622\) −4.63457 7.39203i −0.185830 0.296394i
\(623\) 1.63006 3.19918i 0.0653071 0.128172i
\(624\) −0.736081 0.206270i −0.0294668 0.00825739i
\(625\) −13.3176 21.1575i −0.532706 0.846301i
\(626\) 26.2340 22.8744i 1.04852 0.914246i
\(627\) −9.03477 4.60344i −0.360814 0.183844i
\(628\) 15.0762 + 4.55956i 0.601605 + 0.181946i
\(629\) 6.57057 + 9.04362i 0.261986 + 0.360593i
\(630\) −0.750050 0.249021i −0.0298827 0.00992123i
\(631\) −14.7217 + 20.2627i −0.586062 + 0.806645i −0.994344 0.106211i \(-0.966128\pi\)
0.408282 + 0.912856i \(0.366128\pi\)
\(632\) −32.7909 6.81498i −1.30435 0.271085i
\(633\) 16.4954 2.61261i 0.655633 0.103842i
\(634\) 21.9445 9.35397i 0.871526 0.371493i
\(635\) −1.32688 + 0.0822505i −0.0526555 + 0.00326401i
\(636\) 0.388721 + 2.16631i 0.0154138 + 0.0858997i
\(637\) 1.18132 0.601912i 0.0468056 0.0238486i
\(638\) 6.44470 16.0207i 0.255148 0.634267i
\(639\) 2.69298 + 8.28813i 0.106532 + 0.327873i
\(640\) 19.6181 15.9728i 0.775473 0.631381i
\(641\) −0.0363080 + 0.111745i −0.00143408 + 0.00441365i −0.951771 0.306809i \(-0.900739\pi\)
0.950337 + 0.311223i \(0.100739\pi\)
\(642\) 14.1760 + 11.8587i 0.559483 + 0.468025i
\(643\) 1.07400 + 1.07400i 0.0423544 + 0.0423544i 0.727967 0.685612i \(-0.240465\pi\)
−0.685612 + 0.727967i \(0.740465\pi\)
\(644\) −0.881796 0.846414i −0.0347476 0.0333534i
\(645\) −17.5333 7.60654i −0.690371 0.299507i
\(646\) 5.11838 + 1.17354i 0.201380 + 0.0461724i
\(647\) 6.72327 42.4490i 0.264319 1.66884i −0.396299 0.918122i \(-0.629706\pi\)
0.660618 0.750722i \(-0.270294\pi\)
\(648\) 0.308377 + 2.81157i 0.0121142 + 0.110449i
\(649\) 0.768184i 0.0301538i
\(650\) 0.285127 + 1.32092i 0.0111836 + 0.0518108i
\(651\) 1.84799i 0.0724283i
\(652\) −0.498040 + 0.715862i −0.0195048 + 0.0280353i
\(653\) 1.20930 7.63522i 0.0473236 0.298789i −0.952663 0.304029i \(-0.901668\pi\)
0.999986 + 0.00524001i \(0.00166795\pi\)
\(654\) −5.62270 + 24.5233i −0.219865 + 0.958937i
\(655\) 2.64789 27.7385i 0.103462 1.08383i
\(656\) 13.2541 + 16.7551i 0.517484 + 0.654175i
\(657\) −3.24696 3.24696i −0.126676 0.126676i
\(658\) 1.34052 1.60248i 0.0522591 0.0624711i
\(659\) −2.77377 + 8.53679i −0.108051 + 0.332546i −0.990434 0.137985i \(-0.955938\pi\)
0.882384 + 0.470531i \(0.155938\pi\)
\(660\) −4.46692 + 10.9023i −0.173874 + 0.424371i
\(661\) 9.41319 + 28.9708i 0.366130 + 1.12683i 0.949270 + 0.314462i \(0.101824\pi\)
−0.583140 + 0.812372i \(0.698176\pi\)
\(662\) −0.327588 0.131780i −0.0127321 0.00512177i
\(663\) −0.164274 + 0.0837018i −0.00637988 + 0.00325071i
\(664\) −11.8691 + 14.7935i −0.460611 + 0.574100i
\(665\) −1.65855 + 1.36949i −0.0643158 + 0.0531067i
\(666\) 6.42555 + 15.0744i 0.248985 + 0.584121i
\(667\) −11.1945 + 1.77303i −0.433452 + 0.0686520i
\(668\) 16.7703 12.7168i 0.648861 0.492028i
\(669\) −12.7688 + 17.5748i −0.493671 + 0.679479i
\(670\) −26.5403 19.5432i −1.02534 0.755020i
\(671\) 18.8449 + 25.9378i 0.727500 + 1.00132i
\(672\) −1.35600 + 0.399919i −0.0523089 + 0.0154272i
\(673\) 0.846696 + 0.431413i 0.0326377 + 0.0166298i 0.470233 0.882542i \(-0.344170\pi\)
−0.437595 + 0.899172i \(0.644170\pi\)
\(674\) 5.98482 + 6.86381i 0.230527 + 0.264384i
\(675\) 4.14058 2.80278i 0.159371 0.107879i
\(676\) −3.53086 + 25.6854i −0.135802 + 0.987900i
\(677\) 2.75206 5.40123i 0.105770 0.207586i −0.832055 0.554693i \(-0.812836\pi\)
0.937826 + 0.347107i \(0.112836\pi\)
\(678\) −17.3296 + 10.8651i −0.665540 + 0.417273i
\(679\) −0.830175 + 0.603157i −0.0318592 + 0.0231471i
\(680\) 0.869578 6.03922i 0.0333468 0.231594i
\(681\) 13.4520 + 9.77343i 0.515481 + 0.374519i
\(682\) −27.4855 1.88032i −1.05247 0.0720011i
\(683\) −2.07314 13.0893i −0.0793264 0.500847i −0.995077 0.0991009i \(-0.968403\pi\)
0.915751 0.401746i \(-0.131597\pi\)
\(684\) 6.92887 + 3.35360i 0.264932 + 0.128228i
\(685\) −13.1237 + 20.6375i −0.501430 + 0.788518i
\(686\) 2.53072 4.22626i 0.0966234 0.161359i
\(687\) 4.23038 + 8.30258i 0.161399 + 0.316763i
\(688\) −33.5207 + 6.72591i −1.27797 + 0.256423i
\(689\) −0.200013 + 0.0649883i −0.00761991 + 0.00247586i
\(690\) 7.64535 1.16083i 0.291053 0.0441920i
\(691\) −20.1481 6.54650i −0.766468 0.249041i −0.100416 0.994946i \(-0.532017\pi\)
−0.666053 + 0.745905i \(0.732017\pi\)
\(692\) 18.4648 0.378030i 0.701927 0.0143705i
\(693\) 0.465566 0.465566i 0.0176854 0.0176854i
\(694\) −15.3315 + 1.36464i −0.581975 + 0.0518009i
\(695\) −24.0635 21.2543i −0.912781 0.806223i
\(696\) −4.64255 + 12.2598i −0.175975 + 0.464706i
\(697\) 5.08910 + 0.806034i 0.192763 + 0.0305307i
\(698\) 13.0572 3.27646i 0.494223 0.124016i
\(699\) −13.8420 −0.523551
\(700\) 1.74443 + 1.78964i 0.0659333 + 0.0676421i
\(701\) 5.50684 0.207991 0.103995 0.994578i \(-0.466837\pi\)
0.103995 + 0.994578i \(0.466837\pi\)
\(702\) −0.262142 + 0.0657794i −0.00989390 + 0.00248269i
\(703\) 44.0487 + 6.97663i 1.66133 + 0.263129i
\(704\) 4.56837 + 20.5750i 0.172177 + 0.775451i
\(705\) 2.87149 + 12.9022i 0.108147 + 0.485927i
\(706\) 39.3719 3.50444i 1.48178 0.131891i
\(707\) 1.20741 1.20741i 0.0454093 0.0454093i
\(708\) 0.0119367 + 0.583047i 0.000448609 + 0.0219123i
\(709\) −44.2003 14.3615i −1.65998 0.539359i −0.679108 0.734038i \(-0.737633\pi\)
−0.980867 + 0.194679i \(0.937633\pi\)
\(710\) 4.48505 27.1907i 0.168321 1.02045i
\(711\) −11.2615 + 3.65909i −0.422340 + 0.137227i
\(712\) 35.2830 + 20.1583i 1.32229 + 0.755465i
\(713\) 8.20910 + 16.1113i 0.307433 + 0.603372i
\(714\) −0.175172 + 0.292534i −0.00655566 + 0.0109478i
\(715\) −1.09018 0.280985i −0.0407706 0.0105082i
\(716\) −17.9586 + 37.1043i −0.671145 + 1.38665i
\(717\) 0.162819 + 1.02800i 0.00608057 + 0.0383912i
\(718\) 50.6120 + 3.46243i 1.88882 + 0.129217i
\(719\) 34.8703 + 25.3348i 1.30044 + 0.944828i 0.999960 0.00895909i \(-0.00285181\pi\)
0.300484 + 0.953787i \(0.402852\pi\)
\(720\) 3.22096 8.34419i 0.120038 0.310969i
\(721\) −1.71156 + 1.24352i −0.0637420 + 0.0463113i
\(722\) −5.01564 + 3.14465i −0.186663 + 0.117032i
\(723\) −0.630856 + 1.23812i −0.0234618 + 0.0460464i
\(724\) 10.0593 + 1.38281i 0.373852 + 0.0513918i
\(725\) 22.9969 2.86207i 0.854084 0.106294i
\(726\) 3.77282 + 4.32694i 0.140023 + 0.160588i
\(727\) −23.0801 11.7599i −0.855994 0.436151i −0.0298130 0.999555i \(-0.509491\pi\)
−0.826181 + 0.563405i \(0.809491\pi\)
\(728\) −0.0555038 0.123161i −0.00205711 0.00456464i
\(729\) 0.587785 + 0.809017i 0.0217698 + 0.0299636i
\(730\) 4.39876 + 13.8385i 0.162805 + 0.512187i
\(731\) −4.84675 + 6.67098i −0.179263 + 0.246735i
\(732\) −14.7062 19.3938i −0.543558 0.716817i
\(733\) 21.7312 3.44188i 0.802659 0.127129i 0.258391 0.966040i \(-0.416808\pi\)
0.544268 + 0.838912i \(0.316808\pi\)
\(734\) −4.57884 10.7420i −0.169008 0.396494i
\(735\) 5.69733 + 14.4287i 0.210149 + 0.532211i
\(736\) 10.0455 9.51023i 0.370282 0.350552i
\(737\) 24.4659 12.4660i 0.901212 0.459190i
\(738\) 7.00743 + 2.81890i 0.257947 + 0.103765i
\(739\) −12.1629 37.4335i −0.447419 1.37701i −0.879809 0.475327i \(-0.842330\pi\)
0.432390 0.901686i \(-0.357670\pi\)
\(740\) 3.86735 51.6749i 0.142167 1.89961i
\(741\) −0.227300 + 0.699557i −0.00835007 + 0.0256989i
\(742\) −0.249556 + 0.298322i −0.00916150 + 0.0109518i
\(743\) −22.1429 22.1429i −0.812343 0.812343i 0.172642 0.984985i \(-0.444770\pi\)
−0.984985 + 0.172642i \(0.944770\pi\)
\(744\) 20.8906 + 1.00006i 0.765886 + 0.0366639i
\(745\) −11.6779 19.7880i −0.427846 0.724975i
\(746\) −5.95947 + 25.9921i −0.218192 + 0.951639i
\(747\) −1.04899 + 6.62308i −0.0383806 + 0.242326i
\(748\) 4.17269 + 2.90303i 0.152569 + 0.106145i
\(749\) 3.26612i 0.119342i
\(750\) −15.7025 + 1.85234i −0.573375 + 0.0676378i
\(751\) 2.21081i 0.0806736i 0.999186 + 0.0403368i \(0.0128431\pi\)
−0.999186 + 0.0403368i \(0.987157\pi\)
\(752\) 17.3898 + 16.0212i 0.634140 + 0.584232i
\(753\) 2.00530 12.6610i 0.0730771 0.461391i
\(754\) −1.22098 0.279946i −0.0444654 0.0101950i
\(755\) 21.3200 + 36.1262i 0.775914 + 1.31477i
\(756\) −0.346128 + 0.360597i −0.0125885 + 0.0131148i
\(757\) −8.95051 8.95051i −0.325312 0.325312i 0.525489 0.850801i \(-0.323882\pi\)
−0.850801 + 0.525489i \(0.823882\pi\)
\(758\) −7.71221 6.45151i −0.280120 0.234329i
\(759\) −1.99081 + 6.12707i −0.0722617 + 0.222399i
\(760\) −14.5839 19.4902i −0.529015 0.706984i
\(761\) −0.436642 1.34385i −0.0158283 0.0487143i 0.942830 0.333273i \(-0.108153\pi\)
−0.958659 + 0.284558i \(0.908153\pi\)
\(762\) −0.313793 + 0.780052i −0.0113675 + 0.0282583i
\(763\) −3.96156 + 2.01852i −0.143418 + 0.0730752i
\(764\) −19.3312 + 3.46877i −0.699378 + 0.125496i
\(765\) −0.792270 2.00645i −0.0286446 0.0725435i
\(766\) −39.3043 + 16.7537i −1.42012 + 0.605336i
\(767\) −0.0550384 + 0.00871722i −0.00198732 + 0.000314761i
\(768\) −3.78708 15.5454i −0.136654 0.560945i
\(769\) −12.3460 + 16.9928i −0.445207 + 0.612774i −0.971359 0.237616i \(-0.923634\pi\)
0.526153 + 0.850390i \(0.323634\pi\)
\(770\) −1.98425 + 0.630718i −0.0715073 + 0.0227295i
\(771\) 9.14344 + 12.5849i 0.329293 + 0.453233i
\(772\) −10.7421 + 35.5186i −0.386616 + 1.27834i
\(773\) 15.8497 + 8.07581i