Properties

Label 576.2.bl.a.155.74
Level $576$
Weight $2$
Character 576.155
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 155.74
Character \(\chi\) \(=\) 576.155
Dual form 576.2.bl.a.275.74

$q$-expansion

\(f(q)\) \(=\) \(q+(1.14228 + 0.833780i) q^{2} +(-1.72760 - 0.124138i) q^{3} +(0.609622 + 1.90483i) q^{4} +(-0.876607 - 2.58240i) q^{5} +(-1.86990 - 1.58224i) q^{6} +(-0.217749 + 0.167085i) q^{7} +(-0.891845 + 2.68414i) q^{8} +(2.96918 + 0.428920i) q^{9} +O(q^{10})\) \(q+(1.14228 + 0.833780i) q^{2} +(-1.72760 - 0.124138i) q^{3} +(0.609622 + 1.90483i) q^{4} +(-0.876607 - 2.58240i) q^{5} +(-1.86990 - 1.58224i) q^{6} +(-0.217749 + 0.167085i) q^{7} +(-0.891845 + 2.68414i) q^{8} +(2.96918 + 0.428920i) q^{9} +(1.15182 - 3.68073i) q^{10} +(0.277841 + 4.23904i) q^{11} +(-0.816720 - 3.36645i) q^{12} +(-1.17967 + 1.03454i) q^{13} +(-0.388044 + 0.00930328i) q^{14} +(1.19385 + 4.57017i) q^{15} +(-3.25672 + 2.32245i) q^{16} +(4.84638 + 4.84638i) q^{17} +(3.03402 + 2.96559i) q^{18} +(0.997833 + 5.01645i) q^{19} +(4.38463 - 3.24407i) q^{20} +(0.396925 - 0.261624i) q^{21} +(-3.21705 + 5.07384i) q^{22} +(4.20619 + 3.22752i) q^{23} +(1.87395 - 4.52640i) q^{24} +(-1.93359 + 1.48370i) q^{25} +(-2.21009 + 0.198155i) q^{26} +(-5.07630 - 1.10959i) q^{27} +(-0.451012 - 0.312916i) q^{28} +(-1.57743 - 3.19871i) q^{29} +(-2.44680 + 6.21583i) q^{30} +(-3.23290 - 5.59954i) q^{31} +(-5.65651 - 0.0624983i) q^{32} +(0.0462270 - 7.35783i) q^{33} +(1.49512 + 9.57675i) q^{34} +(0.622361 + 0.415848i) q^{35} +(0.993059 + 5.91725i) q^{36} +(-4.32593 - 0.860480i) q^{37} +(-3.04281 + 6.56218i) q^{38} +(2.16641 - 1.64082i) q^{39} +(7.71333 - 0.0498356i) q^{40} +(3.91608 - 5.10353i) q^{41} +(0.671538 + 0.0320985i) q^{42} +(0.623930 + 9.51932i) q^{43} +(-7.90525 + 3.11345i) q^{44} +(-1.49516 - 8.04361i) q^{45} +(2.11362 + 7.19378i) q^{46} +(0.905576 + 3.37966i) q^{47} +(5.91461 - 3.60797i) q^{48} +(-1.79224 + 6.68872i) q^{49} +(-3.44578 + 0.0826121i) q^{50} +(-7.77097 - 8.97421i) q^{51} +(-2.68977 - 1.61638i) q^{52} +(1.38816 + 2.07753i) q^{53} +(-4.87342 - 5.49998i) q^{54} +(10.7033 - 4.43347i) q^{55} +(-0.254281 - 0.733484i) q^{56} +(-1.10112 - 8.79027i) q^{57} +(0.865151 - 4.96907i) q^{58} +(9.88696 - 3.35617i) q^{59} +(-7.97758 + 5.06015i) q^{60} +(-2.50145 - 5.07245i) q^{61} +(0.975902 - 9.09178i) q^{62} +(-0.718203 + 0.402708i) q^{63} +(-6.40923 - 4.78767i) q^{64} +(3.70570 + 2.13949i) q^{65} +(6.18762 - 8.36619i) q^{66} +(0.642494 - 9.80257i) q^{67} +(-6.27705 + 12.1860i) q^{68} +(-6.86594 - 6.09800i) q^{69} +(0.364187 + 0.993929i) q^{70} +(-5.60507 + 13.5318i) q^{71} +(-3.79933 + 7.58717i) q^{72} +(-2.21046 - 5.33653i) q^{73} +(-4.22398 - 4.58978i) q^{74} +(3.52465 - 2.32320i) q^{75} +(-8.94716 + 4.95883i) q^{76} +(-0.768779 - 0.876624i) q^{77} +(3.84274 - 0.0679761i) q^{78} +(-2.50884 - 9.36313i) q^{79} +(8.85236 + 6.37429i) q^{80} +(8.63206 + 2.54708i) q^{81} +(8.72849 - 2.56453i) q^{82} +(-2.60866 + 7.68487i) q^{83} +(0.740323 + 0.596580i) q^{84} +(8.26693 - 16.7637i) q^{85} +(-7.22432 + 11.3940i) q^{86} +(2.32808 + 5.72191i) q^{87} +(-11.6260 - 3.03480i) q^{88} +(5.38431 - 12.9989i) q^{89} +(4.99870 - 10.4347i) q^{90} +(0.0840155 - 0.422375i) q^{91} +(-3.58368 + 9.97963i) q^{92} +(4.89002 + 10.0751i) q^{93} +(-1.78347 + 4.61558i) q^{94} +(12.0798 - 6.97426i) q^{95} +(9.76441 + 0.810158i) q^{96} +(-2.46239 - 1.42166i) q^{97} +(-7.62416 + 6.14608i) q^{98} +(-0.993246 + 12.7056i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} + O(q^{10}) \) \( 1504 q - 24 q^{2} - 16 q^{3} - 8 q^{4} - 24 q^{5} - 16 q^{6} - 8 q^{7} - 16 q^{9} - 32 q^{10} - 24 q^{11} - 16 q^{12} - 8 q^{13} - 24 q^{14} - 16 q^{15} - 8 q^{16} - 16 q^{18} - 32 q^{19} - 24 q^{20} - 16 q^{21} - 8 q^{22} - 24 q^{23} - 96 q^{24} - 8 q^{25} - 16 q^{27} - 32 q^{28} - 24 q^{29} + 64 q^{30} - 16 q^{31} - 24 q^{32} - 8 q^{34} + 64 q^{36} - 32 q^{37} - 24 q^{38} - 16 q^{39} - 8 q^{40} - 24 q^{41} - 96 q^{42} - 8 q^{43} - 16 q^{45} - 32 q^{46} - 24 q^{47} - 16 q^{48} - 8 q^{49} - 24 q^{50} - 16 q^{51} - 8 q^{52} - 16 q^{54} - 32 q^{55} - 24 q^{56} - 16 q^{57} + 64 q^{58} - 24 q^{59} - 16 q^{60} - 8 q^{61} - 32 q^{64} - 48 q^{65} - 8 q^{67} - 24 q^{68} - 16 q^{69} - 8 q^{70} - 16 q^{72} - 32 q^{73} - 24 q^{74} - 16 q^{75} - 56 q^{76} - 24 q^{77} - 40 q^{78} - 8 q^{79} - 16 q^{81} - 32 q^{82} - 24 q^{83} - 128 q^{84} - 8 q^{85} - 24 q^{86} - 16 q^{87} - 8 q^{88} - 160 q^{90} - 32 q^{91} - 480 q^{92} + 8 q^{93} - 8 q^{94} - 48 q^{95} - 152 q^{96} - 16 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{9}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.14228 + 0.833780i 0.807716 + 0.589571i
\(3\) −1.72760 0.124138i −0.997428 0.0716709i
\(4\) 0.609622 + 1.90483i 0.304811 + 0.952413i
\(5\) −0.876607 2.58240i −0.392031 1.15489i −0.946506 0.322685i \(-0.895415\pi\)
0.554476 0.832200i \(-0.312919\pi\)
\(6\) −1.86990 1.58224i −0.763384 0.645945i
\(7\) −0.217749 + 0.167085i −0.0823015 + 0.0631522i −0.649093 0.760709i \(-0.724851\pi\)
0.566791 + 0.823861i \(0.308185\pi\)
\(8\) −0.891845 + 2.68414i −0.315315 + 0.948987i
\(9\) 2.96918 + 0.428920i 0.989727 + 0.142973i
\(10\) 1.15182 3.68073i 0.364238 1.16395i
\(11\) 0.277841 + 4.23904i 0.0837722 + 1.27812i 0.808258 + 0.588828i \(0.200410\pi\)
−0.724486 + 0.689289i \(0.757923\pi\)
\(12\) −0.816720 3.36645i −0.235767 0.971810i
\(13\) −1.17967 + 1.03454i −0.327180 + 0.286929i −0.807139 0.590362i \(-0.798985\pi\)
0.479958 + 0.877291i \(0.340652\pi\)
\(14\) −0.388044 + 0.00930328i −0.103709 + 0.00248641i
\(15\) 1.19385 + 4.57017i 0.308251 + 1.18001i
\(16\) −3.25672 + 2.32245i −0.814181 + 0.580612i
\(17\) 4.84638 + 4.84638i 1.17542 + 1.17542i 0.980898 + 0.194522i \(0.0623154\pi\)
0.194522 + 0.980898i \(0.437685\pi\)
\(18\) 3.03402 + 2.96559i 0.715125 + 0.698996i
\(19\) 0.997833 + 5.01645i 0.228919 + 1.15085i 0.908704 + 0.417441i \(0.137073\pi\)
−0.679785 + 0.733411i \(0.737927\pi\)
\(20\) 4.38463 3.24407i 0.980432 0.725397i
\(21\) 0.396925 0.261624i 0.0866160 0.0570911i
\(22\) −3.21705 + 5.07384i −0.685877 + 1.08175i
\(23\) 4.20619 + 3.22752i 0.877051 + 0.672985i 0.945835 0.324646i \(-0.105245\pi\)
−0.0687842 + 0.997632i \(0.521912\pi\)
\(24\) 1.87395 4.52640i 0.382519 0.923948i
\(25\) −1.93359 + 1.48370i −0.386718 + 0.296739i
\(26\) −2.21009 + 0.198155i −0.433434 + 0.0388614i
\(27\) −5.07630 1.10959i −0.976934 0.213540i
\(28\) −0.451012 0.312916i −0.0852333 0.0591356i
\(29\) −1.57743 3.19871i −0.292922 0.593986i 0.699811 0.714328i \(-0.253268\pi\)
−0.992733 + 0.120342i \(0.961601\pi\)
\(30\) −2.44680 + 6.21583i −0.446722 + 1.13485i
\(31\) −3.23290 5.59954i −0.580645 1.00571i −0.995403 0.0957751i \(-0.969467\pi\)
0.414758 0.909932i \(-0.363866\pi\)
\(32\) −5.65651 0.0624983i −0.999939 0.0110482i
\(33\) 0.0462270 7.35783i 0.00804708 1.28083i
\(34\) 1.49512 + 9.57675i 0.256412 + 1.64240i
\(35\) 0.622361 + 0.415848i 0.105198 + 0.0702912i
\(36\) 0.993059 + 5.91725i 0.165510 + 0.986208i
\(37\) −4.32593 0.860480i −0.711178 0.141462i −0.173772 0.984786i \(-0.555596\pi\)
−0.537406 + 0.843324i \(0.680596\pi\)
\(38\) −3.04281 + 6.56218i −0.493608 + 1.06453i
\(39\) 2.16641 1.64082i 0.346903 0.262742i
\(40\) 7.71333 0.0498356i 1.21958 0.00787970i
\(41\) 3.91608 5.10353i 0.611589 0.797038i −0.380203 0.924903i \(-0.624146\pi\)
0.991792 + 0.127865i \(0.0408125\pi\)
\(42\) 0.671538 + 0.0320985i 0.103620 + 0.00495291i
\(43\) 0.623930 + 9.51932i 0.0951484 + 1.45168i 0.732320 + 0.680961i \(0.238438\pi\)
−0.637171 + 0.770722i \(0.719896\pi\)
\(44\) −7.90525 + 3.11345i −1.19176 + 0.469370i
\(45\) −1.49516 8.04361i −0.222885 1.19907i
\(46\) 2.11362 + 7.19378i 0.311636 + 1.06067i
\(47\) 0.905576 + 3.37966i 0.132092 + 0.492974i 0.999993 0.00376356i \(-0.00119798\pi\)
−0.867901 + 0.496737i \(0.834531\pi\)
\(48\) 5.91461 3.60797i 0.853700 0.520765i
\(49\) −1.79224 + 6.68872i −0.256034 + 0.955531i
\(50\) −3.44578 + 0.0826121i −0.487307 + 0.0116831i
\(51\) −7.77097 8.97421i −1.08815 1.25664i
\(52\) −2.68977 1.61638i −0.373003 0.224152i
\(53\) 1.38816 + 2.07753i 0.190679 + 0.285371i 0.914475 0.404643i \(-0.132604\pi\)
−0.723796 + 0.690014i \(0.757604\pi\)
\(54\) −4.87342 5.49998i −0.663188 0.748453i
\(55\) 10.7033 4.43347i 1.44324 0.597808i
\(56\) −0.254281 0.733484i −0.0339797 0.0980159i
\(57\) −1.10112 8.79027i −0.145847 1.16430i
\(58\) 0.865151 4.96907i 0.113600 0.652470i
\(59\) 9.88696 3.35617i 1.28717 0.436936i 0.407800 0.913071i \(-0.366296\pi\)
0.879372 + 0.476135i \(0.157963\pi\)
\(60\) −7.97758 + 5.06015i −1.02990 + 0.653263i
\(61\) −2.50145 5.07245i −0.320278 0.649460i 0.675882 0.737010i \(-0.263763\pi\)
−0.996160 + 0.0875499i \(0.972096\pi\)
\(62\) 0.975902 9.09178i 0.123940 1.15466i
\(63\) −0.718203 + 0.402708i −0.0904851 + 0.0507365i
\(64\) −6.40923 4.78767i −0.801153 0.598459i
\(65\) 3.70570 + 2.13949i 0.459635 + 0.265371i
\(66\) 6.18762 8.36619i 0.761643 1.02981i
\(67\) 0.642494 9.80257i 0.0784932 1.19757i −0.758987 0.651106i \(-0.774305\pi\)
0.837480 0.546468i \(-0.184028\pi\)
\(68\) −6.27705 + 12.1860i −0.761204 + 1.47777i
\(69\) −6.86594 6.09800i −0.826562 0.734114i
\(70\) 0.364187 + 0.993929i 0.0435286 + 0.118797i
\(71\) −5.60507 + 13.5318i −0.665199 + 1.60593i 0.124345 + 0.992239i \(0.460317\pi\)
−0.789544 + 0.613694i \(0.789683\pi\)
\(72\) −3.79933 + 7.58717i −0.447755 + 0.894156i
\(73\) −2.21046 5.33653i −0.258715 0.624594i 0.740139 0.672454i \(-0.234760\pi\)
−0.998854 + 0.0478603i \(0.984760\pi\)
\(74\) −4.22398 4.58978i −0.491028 0.533552i
\(75\) 3.52465 2.32320i 0.406991 0.268260i
\(76\) −8.94716 + 4.95883i −1.02631 + 0.568817i
\(77\) −0.768779 0.876624i −0.0876105 0.0999006i
\(78\) 3.84274 0.0679761i 0.435105 0.00769678i
\(79\) −2.50884 9.36313i −0.282267 1.05343i −0.950813 0.309764i \(-0.899750\pi\)
0.668547 0.743670i \(-0.266917\pi\)
\(80\) 8.85236 + 6.37429i 0.989723 + 0.712667i
\(81\) 8.63206 + 2.54708i 0.959117 + 0.283009i
\(82\) 8.72849 2.56453i 0.963901 0.283205i
\(83\) −2.60866 + 7.68487i −0.286338 + 0.843524i 0.704648 + 0.709557i \(0.251105\pi\)
−0.990986 + 0.133967i \(0.957228\pi\)
\(84\) 0.740323 + 0.596580i 0.0807759 + 0.0650922i
\(85\) 8.26693 16.7637i 0.896674 1.81828i
\(86\) −7.22432 + 11.3940i −0.779018 + 1.22864i
\(87\) 2.32808 + 5.72191i 0.249597 + 0.613453i
\(88\) −11.6260 3.03480i −1.23933 0.323510i
\(89\) 5.38431 12.9989i 0.570736 1.37788i −0.330194 0.943913i \(-0.607114\pi\)
0.900930 0.433965i \(-0.142886\pi\)
\(90\) 4.99870 10.4347i 0.526909 1.09992i
\(91\) 0.0840155 0.422375i 0.00880722 0.0442769i
\(92\) −3.58368 + 9.97963i −0.373625 + 1.04045i
\(93\) 4.89002 + 10.0751i 0.507072 + 1.04474i
\(94\) −1.78347 + 4.61558i −0.183950 + 0.476060i
\(95\) 12.0798 6.97426i 1.23936 0.715544i
\(96\) 9.76441 + 0.810158i 0.996576 + 0.0826864i
\(97\) −2.46239 1.42166i −0.250018 0.144348i 0.369754 0.929130i \(-0.379442\pi\)
−0.619773 + 0.784781i \(0.712775\pi\)
\(98\) −7.62416 + 6.14608i −0.770156 + 0.620848i
\(99\) −0.993246 + 12.7056i −0.0998250 + 1.27696i
\(100\) −4.00494 2.77866i −0.400494 0.277866i
\(101\) 7.96082 + 6.98145i 0.792131 + 0.694680i 0.956504 0.291718i \(-0.0942268\pi\)
−0.164373 + 0.986398i \(0.552560\pi\)
\(102\) −1.39413 16.7304i −0.138040 1.65655i
\(103\) 13.6657 1.79912i 1.34652 0.177273i 0.577446 0.816429i \(-0.304050\pi\)
0.769077 + 0.639156i \(0.220716\pi\)
\(104\) −1.72477 4.08904i −0.169128 0.400963i
\(105\) −1.02357 0.795677i −0.0998898 0.0776501i
\(106\) −0.146530 + 3.53055i −0.0142322 + 0.342917i
\(107\) −0.501417 0.750423i −0.0484738 0.0725462i 0.806441 0.591314i \(-0.201391\pi\)
−0.854915 + 0.518768i \(0.826391\pi\)
\(108\) −0.981052 10.3459i −0.0944017 0.995534i
\(109\) −13.3026 + 2.64606i −1.27416 + 0.253446i −0.785409 0.618977i \(-0.787547\pi\)
−0.488751 + 0.872423i \(0.662547\pi\)
\(110\) 15.9228 + 3.85995i 1.51818 + 0.368032i
\(111\) 7.36664 + 2.02357i 0.699210 + 0.192069i
\(112\) 0.321103 1.04986i 0.0303414 0.0992025i
\(113\) 9.40122 + 2.51905i 0.884392 + 0.236972i 0.672301 0.740278i \(-0.265306\pi\)
0.212091 + 0.977250i \(0.431973\pi\)
\(114\) 6.07135 10.9591i 0.568634 1.02641i
\(115\) 4.64758 13.6913i 0.433389 1.27672i
\(116\) 5.13136 4.95474i 0.476434 0.460036i
\(117\) −3.94637 + 2.56575i −0.364842 + 0.237204i
\(118\) 14.0920 + 4.40985i 1.29728 + 0.405960i
\(119\) −1.86505 0.245539i −0.170969 0.0225085i
\(120\) −13.3317 0.871419i −1.21701 0.0795493i
\(121\) −6.98633 + 0.919768i −0.635121 + 0.0836153i
\(122\) 1.37194 7.87983i 0.124209 0.713406i
\(123\) −7.39894 + 8.33071i −0.667140 + 0.751155i
\(124\) 8.69530 9.57170i 0.780861 0.859564i
\(125\) −5.81113 3.88287i −0.519763 0.347295i
\(126\) −1.15616 0.138816i −0.102999 0.0123668i
\(127\) 7.69092i 0.682459i 0.939980 + 0.341229i \(0.110843\pi\)
−0.939980 + 0.341229i \(0.889157\pi\)
\(128\) −3.32928 10.8128i −0.294270 0.955722i
\(129\) 0.103809 16.5230i 0.00913986 1.45477i
\(130\) 2.44910 + 5.53364i 0.214800 + 0.485332i
\(131\) −6.45479 0.423069i −0.563958 0.0369637i −0.219241 0.975671i \(-0.570358\pi\)
−0.344716 + 0.938707i \(0.612025\pi\)
\(132\) 14.0436 4.39744i 1.22234 0.382748i
\(133\) −1.05545 0.925605i −0.0915192 0.0802601i
\(134\) 8.90710 10.6616i 0.769456 0.921023i
\(135\) 1.58452 + 14.0817i 0.136374 + 1.21196i
\(136\) −17.3306 + 8.68615i −1.48609 + 0.744831i
\(137\) −0.272510 + 2.06992i −0.0232821 + 0.176845i −0.999135 0.0415834i \(-0.986760\pi\)
0.975853 + 0.218429i \(0.0700931\pi\)
\(138\) −2.75846 12.6903i −0.234815 1.08027i
\(139\) 2.06977 4.19708i 0.175556 0.355992i −0.791255 0.611487i \(-0.790572\pi\)
0.966810 + 0.255495i \(0.0822385\pi\)
\(140\) −0.412714 + 1.43900i −0.0348807 + 0.121618i
\(141\) −1.14493 5.95110i −0.0964203 0.501173i
\(142\) −17.6851 + 10.7838i −1.48410 + 0.904956i
\(143\) −4.71321 4.71321i −0.394138 0.394138i
\(144\) −10.6659 + 5.49889i −0.888828 + 0.458241i
\(145\) −6.87758 + 6.87758i −0.571152 + 0.571152i
\(146\) 1.92452 7.93887i 0.159274 0.657026i
\(147\) 3.92658 11.3329i 0.323859 0.934723i
\(148\) −0.998114 8.76471i −0.0820445 0.720454i
\(149\) −5.31639 2.62175i −0.435535 0.214782i 0.211285 0.977424i \(-0.432235\pi\)
−0.646821 + 0.762642i \(0.723902\pi\)
\(150\) 5.96318 + 0.285031i 0.486892 + 0.0232727i
\(151\) −5.16233 0.679634i −0.420105 0.0553078i −0.0824891 0.996592i \(-0.526287\pi\)
−0.337615 + 0.941284i \(0.609620\pi\)
\(152\) −14.3548 1.79557i −1.16433 0.145640i
\(153\) 12.3111 + 16.4685i 0.995291 + 1.33140i
\(154\) −0.147251 1.64235i −0.0118659 0.132344i
\(155\) −11.6263 + 13.2572i −0.933845 + 1.06485i
\(156\) 4.44618 + 3.12635i 0.355979 + 0.250309i
\(157\) 0.953729 14.5511i 0.0761159 1.16130i −0.773463 0.633842i \(-0.781477\pi\)
0.849579 0.527462i \(-0.176856\pi\)
\(158\) 4.94098 12.7872i 0.393083 1.01729i
\(159\) −2.14028 3.76146i −0.169736 0.298303i
\(160\) 4.79714 + 14.6622i 0.379247 + 1.15915i
\(161\) −1.45517 −0.114683
\(162\) 7.73655 + 10.1067i 0.607841 + 0.794059i
\(163\) −2.16842 + 3.24528i −0.169844 + 0.254190i −0.906621 0.421947i \(-0.861347\pi\)
0.736777 + 0.676136i \(0.236347\pi\)
\(164\) 12.1087 + 4.34822i 0.945528 + 0.339539i
\(165\) −19.0414 + 6.33055i −1.48237 + 0.492833i
\(166\) −9.38732 + 6.60325i −0.728597 + 0.512511i
\(167\) −0.140213 1.06502i −0.0108500 0.0824139i 0.985163 0.171620i \(-0.0549002\pi\)
−0.996013 + 0.0892065i \(0.971567\pi\)
\(168\) 0.348242 + 1.29873i 0.0268674 + 0.100199i
\(169\) −1.37550 + 10.4480i −0.105808 + 0.803690i
\(170\) 23.4204 12.2561i 1.79626 0.939997i
\(171\) 0.811093 + 15.3227i 0.0620258 + 1.17176i
\(172\) −17.7523 + 6.99166i −1.35360 + 0.533109i
\(173\) 21.0525 + 7.14634i 1.60059 + 0.543327i 0.972115 0.234505i \(-0.0753468\pi\)
0.628473 + 0.777831i \(0.283680\pi\)
\(174\) −2.11148 + 8.47715i −0.160071 + 0.642651i
\(175\) 0.173135 0.646148i 0.0130878 0.0488442i
\(176\) −10.7498 13.1601i −0.810295 0.991979i
\(177\) −17.4973 + 4.57076i −1.31518 + 0.343560i
\(178\) 16.9886 10.3591i 1.27335 0.776445i
\(179\) −4.49892 22.6176i −0.336265 1.69052i −0.665602 0.746307i \(-0.731825\pi\)
0.329337 0.944213i \(-0.393175\pi\)
\(180\) 14.4102 7.75158i 1.07407 0.577769i
\(181\) 15.3138 10.2324i 1.13827 0.760565i 0.164110 0.986442i \(-0.447525\pi\)
0.974156 + 0.225877i \(0.0725248\pi\)
\(182\) 0.448137 0.412421i 0.0332181 0.0305707i
\(183\) 3.69182 + 9.07366i 0.272907 + 0.670745i
\(184\) −12.4144 + 8.41156i −0.915201 + 0.620108i
\(185\) 1.57003 + 11.9256i 0.115431 + 0.876786i
\(186\) −2.81460 + 15.5858i −0.206376 + 1.14281i
\(187\) −19.1975 + 21.8905i −1.40386 + 1.60079i
\(188\) −5.88560 + 3.78528i −0.429251 + 0.276070i
\(189\) 1.29076 0.606561i 0.0938887 0.0441208i
\(190\) 19.6135 + 2.10529i 1.42291 + 0.152734i
\(191\) 4.68006 8.10609i 0.338637 0.586536i −0.645540 0.763727i \(-0.723368\pi\)
0.984177 + 0.177190i \(0.0567008\pi\)
\(192\) 10.4782 + 9.06680i 0.756201 + 0.654340i
\(193\) −1.59659 2.76538i −0.114925 0.199057i 0.802825 0.596215i \(-0.203330\pi\)
−0.917750 + 0.397159i \(0.869996\pi\)
\(194\) −1.62740 3.67704i −0.116840 0.263996i
\(195\) −6.13636 4.15618i −0.439434 0.297631i
\(196\) −13.8334 + 0.663690i −0.988102 + 0.0474064i
\(197\) 14.5743 + 2.89901i 1.03838 + 0.206546i 0.684702 0.728823i \(-0.259932\pi\)
0.353674 + 0.935369i \(0.384932\pi\)
\(198\) −11.7283 + 13.6853i −0.833492 + 0.972570i
\(199\) −12.8744 5.33274i −0.912640 0.378028i −0.123573 0.992335i \(-0.539435\pi\)
−0.789067 + 0.614308i \(0.789435\pi\)
\(200\) −2.25799 6.51326i −0.159664 0.460557i
\(201\) −2.32684 + 16.8551i −0.164123 + 1.18887i
\(202\) 3.27252 + 14.6124i 0.230253 + 1.02812i
\(203\) 0.877941 + 0.432953i 0.0616194 + 0.0303873i
\(204\) 12.3569 20.2732i 0.865160 1.41941i
\(205\) −16.6122 5.63909i −1.16025 0.393851i
\(206\) 17.1102 + 9.33909i 1.19212 + 0.650685i
\(207\) 11.1046 + 11.3872i 0.771822 + 0.791466i
\(208\) 1.43918 6.10892i 0.0997893 0.423577i
\(209\) −20.9877 + 5.62363i −1.45175 + 0.388994i
\(210\) −0.505783 1.76232i −0.0349024 0.121611i
\(211\) 12.9850 11.3875i 0.893922 0.783948i −0.0832214 0.996531i \(-0.526521\pi\)
0.977143 + 0.212583i \(0.0681875\pi\)
\(212\) −3.11108 + 3.91071i −0.213670 + 0.268589i
\(213\) 11.3631 22.6817i 0.778587 1.55413i
\(214\) 0.0529279 1.27527i 0.00361808 0.0871755i
\(215\) 24.0358 9.95594i 1.63923 0.678990i
\(216\) 7.50556 12.6359i 0.510689 0.859766i
\(217\) 1.63956 + 0.679128i 0.111301 + 0.0461022i
\(218\) −17.4016 8.06892i −1.17858 0.546496i
\(219\) 3.15632 + 9.49378i 0.213285 + 0.641530i
\(220\) 14.9700 + 17.6852i 1.00927 + 1.19234i
\(221\) −10.7309 0.703339i −0.721837 0.0473117i
\(222\) 6.72757 + 8.45365i 0.451525 + 0.567372i
\(223\) −8.57501 + 14.8523i −0.574225 + 0.994587i 0.421900 + 0.906642i \(0.361363\pi\)
−0.996125 + 0.0879446i \(0.971970\pi\)
\(224\) 1.24214 0.931509i 0.0829942 0.0622390i
\(225\) −6.37756 + 3.57600i −0.425171 + 0.238400i
\(226\) 8.63852 + 10.7160i 0.574626 + 0.712819i
\(227\) −13.4187 + 6.61735i −0.890628 + 0.439209i −0.829232 0.558904i \(-0.811222\pi\)
−0.0613960 + 0.998113i \(0.519555\pi\)
\(228\) 16.0727 7.45619i 1.06444 0.493798i
\(229\) 0.700577 + 2.06383i 0.0462955 + 0.136382i 0.967619 0.252414i \(-0.0812245\pi\)
−0.921324 + 0.388796i \(0.872891\pi\)
\(230\) 16.7244 11.7643i 1.10278 0.775717i
\(231\) 1.21932 + 1.60989i 0.0802252 + 0.105923i
\(232\) 9.99262 1.38129i 0.656048 0.0906862i
\(233\) 6.31957 + 15.2568i 0.414009 + 0.999506i 0.984050 + 0.177890i \(0.0569272\pi\)
−0.570041 + 0.821616i \(0.693073\pi\)
\(234\) −6.64715 0.359594i −0.434538 0.0235074i
\(235\) 7.93380 5.30119i 0.517544 0.345812i
\(236\) 12.4202 + 16.7869i 0.808488 + 1.09274i
\(237\) 3.17195 + 16.4871i 0.206040 + 1.07096i
\(238\) −1.92569 1.83552i −0.124824 0.118979i
\(239\) −17.6257 4.72279i −1.14011 0.305492i −0.361115 0.932521i \(-0.617604\pi\)
−0.778995 + 0.627030i \(0.784270\pi\)
\(240\) −14.5020 12.1111i −0.936101 0.781769i
\(241\) −7.41826 + 1.98772i −0.477852 + 0.128040i −0.489702 0.871890i \(-0.662895\pi\)
0.0118502 + 0.999930i \(0.496228\pi\)
\(242\) −8.74725 4.77443i −0.562295 0.306912i
\(243\) −14.5965 5.47189i −0.936367 0.351022i
\(244\) 8.13718 7.85711i 0.520930 0.503000i
\(245\) 18.8440 1.23510i 1.20390 0.0789079i
\(246\) −15.3977 + 3.34694i −0.981720 + 0.213393i
\(247\) −6.36682 4.88543i −0.405111 0.310853i
\(248\) 17.9132 3.68363i 1.13749 0.233911i
\(249\) 5.46070 12.9525i 0.346058 0.820833i
\(250\) −3.40049 9.28054i −0.215066 0.586953i
\(251\) 4.92261 24.7476i 0.310712 1.56206i −0.437885 0.899031i \(-0.644272\pi\)
0.748597 0.663025i \(-0.230728\pi\)
\(252\) −1.20492 1.12255i −0.0759029 0.0707141i
\(253\) −12.5129 + 18.7269i −0.786681 + 1.17735i
\(254\) −6.41253 + 8.78521i −0.402358 + 0.551233i
\(255\) −16.3629 + 27.9346i −1.02469 + 1.74933i
\(256\) 5.21248 15.1271i 0.325780 0.945446i
\(257\) −0.523411 + 0.302191i −0.0326495 + 0.0188502i −0.516236 0.856446i \(-0.672667\pi\)
0.483586 + 0.875297i \(0.339334\pi\)
\(258\) 13.8951 18.7874i 0.865073 1.16965i
\(259\) 1.08574 0.535428i 0.0674647 0.0332699i
\(260\) −1.81627 + 8.36299i −0.112640 + 0.518650i
\(261\) −3.31168 10.1741i −0.204988 0.629764i
\(262\) −7.02045 5.86514i −0.433725 0.362350i
\(263\) 4.53193 + 5.90613i 0.279451 + 0.364187i 0.911899 0.410416i \(-0.134616\pi\)
−0.632448 + 0.774603i \(0.717950\pi\)
\(264\) 19.7082 + 6.68613i 1.21296 + 0.411503i
\(265\) 4.14815 5.40597i 0.254819 0.332086i
\(266\) −0.433872 1.93732i −0.0266024 0.118785i
\(267\) −10.9156 + 21.7884i −0.668022 + 1.33343i
\(268\) 19.0639 4.75202i 1.16451 0.290276i
\(269\) 4.71396 0.937664i 0.287415 0.0571704i −0.0492773 0.998785i \(-0.515692\pi\)
0.336692 + 0.941615i \(0.390692\pi\)
\(270\) −9.93108 + 17.4064i −0.604386 + 1.05932i
\(271\) 4.71353 4.71353i 0.286326 0.286326i −0.549299 0.835626i \(-0.685105\pi\)
0.835626 + 0.549299i \(0.185105\pi\)
\(272\) −27.0388 4.52786i −1.63947 0.274542i
\(273\) −0.197578 + 0.719263i −0.0119579 + 0.0435318i
\(274\) −2.03714 + 2.13722i −0.123068 + 0.129114i
\(275\) −6.82667 7.78433i −0.411664 0.469412i
\(276\) 7.43001 16.7959i 0.447234 1.01099i
\(277\) 25.4205 1.66615i 1.52737 0.100109i 0.721588 0.692323i \(-0.243413\pi\)
0.805781 + 0.592214i \(0.201746\pi\)
\(278\) 5.86371 3.06852i 0.351682 0.184038i
\(279\) −7.19729 18.0127i −0.430891 1.07839i
\(280\) −1.67125 + 1.29963i −0.0998760 + 0.0776679i
\(281\) 12.3212 + 16.0574i 0.735024 + 0.957902i 0.999980 0.00635858i \(-0.00202401\pi\)
−0.264956 + 0.964261i \(0.585357\pi\)
\(282\) 3.65408 7.75246i 0.217597 0.461652i
\(283\) −2.50851 + 0.851524i −0.149115 + 0.0506178i −0.394999 0.918681i \(-0.629255\pi\)
0.245884 + 0.969299i \(0.420922\pi\)
\(284\) −29.1928 2.42738i −1.73227 0.144038i
\(285\) −21.7347 + 10.5492i −1.28746 + 0.624878i
\(286\) −1.45404 9.31359i −0.0859791 0.550724i
\(287\) 1.76561i 0.104221i
\(288\) −16.7684 2.61176i −0.988087 0.153899i
\(289\) 29.9748i 1.76322i
\(290\) −13.5905 + 2.12175i −0.798063 + 0.124594i
\(291\) 4.07754 + 2.76174i 0.239030 + 0.161896i
\(292\) 8.81762 7.46382i 0.516012 0.436787i
\(293\) −5.77847 + 1.96153i −0.337582 + 0.114594i −0.485083 0.874468i \(-0.661210\pi\)
0.147501 + 0.989062i \(0.452877\pi\)
\(294\) 13.9344 9.67150i 0.812672 0.564053i
\(295\) −17.3340 22.5901i −1.00922 1.31524i
\(296\) 6.16771 10.8440i 0.358491 0.630294i
\(297\) 3.29318 21.8269i 0.191089 1.26653i
\(298\) −3.88686 7.42748i −0.225160 0.430262i
\(299\) −8.30090 + 0.544069i −0.480053 + 0.0314643i
\(300\) 6.57399 + 5.29757i 0.379549 + 0.305855i
\(301\) −1.72640 1.96858i −0.0995078 0.113467i
\(302\) −5.33018 5.08058i −0.306717 0.292355i
\(303\) −12.8864 13.0494i −0.740306 0.749667i
\(304\) −14.9001 14.0198i −0.854579 0.804088i
\(305\) −10.9063 + 10.9063i −0.624493 + 0.624493i
\(306\) 0.331632 + 29.0764i 0.0189581 + 1.66219i
\(307\) −14.8422 + 2.95229i −0.847087 + 0.168496i −0.599505 0.800371i \(-0.704636\pi\)
−0.247582 + 0.968867i \(0.579636\pi\)
\(308\) 1.20115 1.99880i 0.0684420 0.113892i
\(309\) −23.8322 + 1.41173i −1.35576 + 0.0803106i
\(310\) −24.3341 + 5.44975i −1.38208 + 0.309525i
\(311\) 4.80723 6.26491i 0.272593 0.355250i −0.636917 0.770933i \(-0.719791\pi\)
0.909510 + 0.415682i \(0.136457\pi\)
\(312\) 2.47210 + 7.27831i 0.139955 + 0.412053i
\(313\) 5.64706 + 7.35939i 0.319190 + 0.415977i 0.925200 0.379480i \(-0.123897\pi\)
−0.606009 + 0.795458i \(0.707231\pi\)
\(314\) 13.2218 15.8263i 0.746151 0.893128i
\(315\) 1.66954 + 1.50167i 0.0940677 + 0.0846096i
\(316\) 16.3057 10.4869i 0.917266 0.589933i
\(317\) −3.82889 + 1.88820i −0.215052 + 0.106052i −0.546625 0.837378i \(-0.684088\pi\)
0.331573 + 0.943430i \(0.392421\pi\)
\(318\) 0.691419 6.08118i 0.0387729 0.341015i
\(319\) 13.1212 7.57552i 0.734645 0.424148i
\(320\) −6.74533 + 20.7481i −0.377075 + 1.15985i
\(321\) 0.773090 + 1.35867i 0.0431497 + 0.0758338i
\(322\) −1.66221 1.21329i −0.0926314 0.0676139i
\(323\) −19.4757 + 29.1475i −1.08366 + 1.62181i
\(324\) 0.410546 + 17.9953i 0.0228081 + 0.999740i
\(325\) 0.746049 3.75064i 0.0413833 0.208048i
\(326\) −5.18280 + 1.89904i −0.287049 + 0.105178i
\(327\) 23.3100 2.91996i 1.28905 0.161474i
\(328\) 10.2061 + 15.0629i 0.563536 + 0.831708i
\(329\) −0.761878 0.584610i −0.0420037 0.0322306i
\(330\) −27.0290 8.64506i −1.48790 0.475895i
\(331\) 11.4418 0.749937i 0.628899 0.0412202i 0.252379 0.967629i \(-0.418787\pi\)
0.376521 + 0.926408i \(0.377120\pi\)
\(332\) −16.2286 0.284182i −0.890662 0.0155965i
\(333\) −12.4754 4.41040i −0.683647 0.241688i
\(334\) 0.727831 1.33346i 0.0398252 0.0729639i
\(335\) −25.8774 + 6.93382i −1.41383 + 0.378835i
\(336\) −0.685064 + 1.77387i −0.0373733 + 0.0967728i
\(337\) −25.0474 6.71144i −1.36442 0.365595i −0.498983 0.866612i \(-0.666293\pi\)
−0.865438 + 0.501017i \(0.832960\pi\)
\(338\) −10.2825 + 10.7877i −0.559295 + 0.586772i
\(339\) −15.9288 5.51895i −0.865134 0.299748i
\(340\) 36.9716 + 5.52756i 2.00506 + 0.299774i
\(341\) 22.8384 15.2601i 1.23677 0.826383i
\(342\) −11.8493 + 18.1792i −0.640736 + 0.983017i
\(343\) −1.46256 3.53094i −0.0789710 0.190653i
\(344\) −26.1077 6.81505i −1.40763 0.367443i
\(345\) −9.72876 + 23.0762i −0.523779 + 1.24238i
\(346\) 18.0894 + 25.7163i 0.972491 + 1.38251i
\(347\) 2.46410 + 7.25899i 0.132280 + 0.389683i 0.992808 0.119720i \(-0.0381996\pi\)
−0.860528 + 0.509403i \(0.829866\pi\)
\(348\) −9.47998 + 7.92279i −0.508180 + 0.424706i
\(349\) 27.8218 13.7202i 1.48927 0.734425i 0.498109 0.867115i \(-0.334028\pi\)
0.991158 + 0.132690i \(0.0423614\pi\)
\(350\) 0.736514 0.593727i 0.0393683 0.0317361i
\(351\) 7.13625 3.94269i 0.380905 0.210445i
\(352\) −1.30668 23.9955i −0.0696462 1.27896i
\(353\) 13.6793 23.6933i 0.728076 1.26107i −0.229619 0.973281i \(-0.573748\pi\)
0.957695 0.287785i \(-0.0929187\pi\)
\(354\) −23.7979 9.36780i −1.26484 0.497893i
\(355\) 39.8581 + 2.61244i 2.11545 + 0.138654i
\(356\) 28.0430 + 2.33178i 1.48628 + 0.123584i
\(357\) 3.19158 + 0.655716i 0.168916 + 0.0347042i
\(358\) 13.7191 29.5868i 0.725075 1.56371i
\(359\) 33.2723 + 13.7818i 1.75604 + 0.727377i 0.997090 + 0.0762326i \(0.0242891\pi\)
0.758954 + 0.651145i \(0.225711\pi\)
\(360\) 22.9236 + 3.16043i 1.20818 + 0.166569i
\(361\) −6.61536 + 2.74017i −0.348177 + 0.144220i
\(362\) 26.0242 + 1.08009i 1.36780 + 0.0567685i
\(363\) 12.1837 0.721721i 0.639480 0.0378805i
\(364\) 0.855768 0.0974538i 0.0448544 0.00510797i
\(365\) −11.8434 + 10.3863i −0.619910 + 0.543646i
\(366\) −3.34834 + 13.4429i −0.175020 + 0.702670i
\(367\) 0.924087 0.247608i 0.0482369 0.0129250i −0.234620 0.972087i \(-0.575385\pi\)
0.282857 + 0.959162i \(0.408718\pi\)
\(368\) −21.1941 0.742495i −1.10482 0.0387052i
\(369\) 13.8165 13.4736i 0.719261 0.701409i
\(370\) −8.14989 + 14.9315i −0.423693 + 0.776249i
\(371\) −0.649396 0.220440i −0.0337149 0.0114447i
\(372\) −16.2102 + 15.4566i −0.840459 + 0.801389i
\(373\) 1.40878 + 0.694732i 0.0729437 + 0.0359719i 0.478395 0.878145i \(-0.341219\pi\)
−0.405451 + 0.914117i \(0.632886\pi\)
\(374\) −40.1808 + 8.99870i −2.07770 + 0.465312i
\(375\) 9.55728 + 7.42942i 0.493536 + 0.383654i
\(376\) −9.87911 0.583435i −0.509476 0.0300884i
\(377\) 5.17003 + 2.14150i 0.266270 + 0.110293i
\(378\) 1.98015 + 0.383342i 0.101848 + 0.0197170i
\(379\) 11.7511 + 2.33745i 0.603616 + 0.120067i 0.487432 0.873161i \(-0.337934\pi\)
0.116184 + 0.993228i \(0.462934\pi\)
\(380\) 20.6488 + 18.7582i 1.05926 + 0.962275i
\(381\) 0.954733 13.2868i 0.0489125 0.680704i
\(382\) 12.1046 5.35732i 0.619328 0.274104i
\(383\) −12.3378 21.3697i −0.630433 1.09194i −0.987463 0.157849i \(-0.949544\pi\)
0.357030 0.934093i \(-0.383789\pi\)
\(384\) 4.40939 + 19.0934i 0.225016 + 0.974355i
\(385\) −1.58988 + 2.75375i −0.0810277 + 0.140344i
\(386\) 0.481958 4.49006i 0.0245310 0.228538i
\(387\) −2.23047 + 28.5322i −0.113381 + 1.45037i
\(388\) 1.20689 5.55711i 0.0612707 0.282119i
\(389\) 23.6405 26.9569i 1.19862 1.36677i 0.285863 0.958270i \(-0.407720\pi\)
0.912760 0.408497i \(-0.133947\pi\)
\(390\) −3.54412 9.86391i −0.179463 0.499479i
\(391\) 4.74299 + 36.0266i 0.239863 + 1.82194i
\(392\) −16.3551 10.7759i −0.826055 0.544266i
\(393\) 11.0988 + 1.53218i 0.559858 + 0.0772881i
\(394\) 14.2308 + 15.4632i 0.716939 + 0.779027i
\(395\) −21.9801 + 14.6866i −1.10594 + 0.738964i
\(396\) −24.8075 + 5.85367i −1.24662 + 0.294158i
\(397\) 3.13765 + 15.7741i 0.157474 + 0.791677i 0.976095 + 0.217343i \(0.0697390\pi\)
−0.818621 + 0.574334i \(0.805261\pi\)
\(398\) −10.2598 16.8259i −0.514279 0.843406i
\(399\) 1.70849 + 1.73009i 0.0855315 + 0.0866130i
\(400\) 2.85136 9.32265i 0.142568 0.466132i
\(401\) −2.23879 + 8.35529i −0.111800 + 0.417243i −0.999028 0.0440886i \(-0.985962\pi\)
0.887228 + 0.461332i \(0.152628\pi\)
\(402\) −16.7114 + 17.3133i −0.833488 + 0.863507i
\(403\) 9.60668 + 3.26103i 0.478543 + 0.162443i
\(404\) −8.44536 + 19.4200i −0.420172 + 0.966182i
\(405\) −0.989339 24.5242i −0.0491606 1.21862i
\(406\) 0.641870 + 1.22656i 0.0318555 + 0.0608734i
\(407\) 2.44569 18.5768i 0.121228 0.920820i
\(408\) 31.0185 12.8548i 1.53565 0.636406i
\(409\) 1.99695 + 15.1683i 0.0987428 + 0.750026i 0.967156 + 0.254184i \(0.0818070\pi\)
−0.868413 + 0.495842i \(0.834860\pi\)
\(410\) −14.2741 20.2924i −0.704948 1.00217i
\(411\) 0.727743 3.54216i 0.0358969 0.174722i
\(412\) 11.7579 + 24.9340i 0.579272 + 1.22841i
\(413\) −1.59211 + 2.38277i −0.0783428 + 0.117248i
\(414\) 3.19015 + 22.2662i 0.156787 + 1.09432i
\(415\) 22.1322 1.08643
\(416\) 6.73745 5.77815i 0.330330 0.283297i
\(417\) −4.09674 + 6.99392i −0.200618 + 0.342494i
\(418\) −28.6627 11.0753i −1.40194 0.541711i
\(419\) −1.52203 + 23.2217i −0.0743560 + 1.13445i 0.783783 + 0.621035i \(0.213288\pi\)
−0.858139 + 0.513418i \(0.828379\pi\)
\(420\) 0.891637 2.43478i 0.0435074 0.118805i
\(421\) −19.0873 + 21.7649i −0.930259 + 1.06076i 0.0677512 + 0.997702i \(0.478418\pi\)
−0.998010 + 0.0630547i \(0.979916\pi\)
\(422\) 24.3272 2.18116i 1.18423 0.106177i
\(423\) 1.23922 + 10.4232i 0.0602528 + 0.506795i
\(424\) −6.81441 + 1.87319i −0.330937 + 0.0909700i
\(425\) −16.5615 2.18036i −0.803349 0.105763i
\(426\) 31.8915 16.4346i 1.54515 0.796261i
\(427\) 1.39222 + 0.686567i 0.0673742 + 0.0332253i
\(428\) 1.12375 1.41259i 0.0543186 0.0682799i
\(429\) 7.55743 + 8.72761i 0.364876 + 0.421373i
\(430\) 35.7567 + 8.66804i 1.72434 + 0.418010i
\(431\) 11.0534 11.0534i 0.532425 0.532425i −0.388868 0.921293i \(-0.627134\pi\)
0.921293 + 0.388868i \(0.127134\pi\)
\(432\) 19.1091 8.17582i 0.919385 0.393359i
\(433\) −4.47716 4.47716i −0.215159 0.215159i 0.591296 0.806455i \(-0.298617\pi\)
−0.806455 + 0.591296i \(0.798617\pi\)
\(434\) 1.30660 + 2.14279i 0.0627187 + 0.102857i
\(435\) 12.7354 11.0279i 0.610618 0.528748i
\(436\) −13.1498 23.7261i −0.629764 1.13627i
\(437\) −11.9936 + 24.3207i −0.573733 + 1.16342i
\(438\) −4.31030 + 13.4763i −0.205954 + 0.643921i
\(439\) 5.09338 38.6881i 0.243094 1.84648i −0.239826 0.970816i \(-0.577090\pi\)
0.482919 0.875665i \(-0.339576\pi\)
\(440\) 2.35433 + 32.6832i 0.112238 + 1.55811i
\(441\) −8.19039 + 19.0913i −0.390019 + 0.909108i
\(442\) −11.6713 9.75060i −0.555146 0.463789i
\(443\) 21.0933 + 18.4983i 1.00217 + 0.878882i 0.992644 0.121073i \(-0.0386334\pi\)
0.00952903 + 0.999955i \(0.496967\pi\)
\(444\) 0.636308 + 15.2658i 0.0301979 + 0.724482i
\(445\) −38.2882 2.50954i −1.81504 0.118964i
\(446\) −22.1787 + 9.81592i −1.05019 + 0.464797i
\(447\) 8.85912 + 5.18929i 0.419022 + 0.245445i
\(448\) 2.19555 0.0283720i 0.103730 0.00134045i
\(449\) 32.7134i 1.54384i −0.635720 0.771920i \(-0.719297\pi\)
0.635720 0.771920i \(-0.280703\pi\)
\(450\) −10.2666 1.23267i −0.483971 0.0581088i
\(451\) 22.7221 + 15.1824i 1.06994 + 0.714912i
\(452\) 0.932838 + 19.4433i 0.0438770 + 0.914538i
\(453\) 8.83406 + 1.81497i 0.415060 + 0.0852749i
\(454\) −20.8453 3.62932i −0.978320 0.170333i
\(455\) −1.16439 + 0.153295i −0.0545874 + 0.00718657i
\(456\) 24.5763 + 4.88398i 1.15089 + 0.228714i
\(457\) 20.9355 + 2.75621i 0.979322 + 0.128930i 0.603157 0.797623i \(-0.293909\pi\)
0.376165 + 0.926553i \(0.377243\pi\)
\(458\) −0.920526 + 2.94161i −0.0430134 + 0.137452i
\(459\) −19.2242 29.9792i −0.897309 1.39931i
\(460\) 28.9129 + 0.506298i 1.34807 + 0.0236063i
\(461\) −9.34541 + 27.5307i −0.435259 + 1.28223i 0.479254 + 0.877676i \(0.340907\pi\)
−0.914513 + 0.404556i \(0.867426\pi\)
\(462\) 0.0505139 + 2.85559i 0.00235012 + 0.132854i
\(463\) −4.59725 1.23183i −0.213652 0.0572480i 0.150405 0.988624i \(-0.451942\pi\)
−0.364057 + 0.931376i \(0.618609\pi\)
\(464\) 12.5661 + 6.75382i 0.583366 + 0.313538i
\(465\) 21.7312 21.4599i 1.00776 0.995178i
\(466\) −5.50207 + 22.6967i −0.254879 + 1.05141i
\(467\) −13.6966 + 2.72442i −0.633803 + 0.126071i −0.501527 0.865142i \(-0.667228\pi\)
−0.132275 + 0.991213i \(0.542228\pi\)
\(468\) −7.29310 5.95302i −0.337124 0.275178i
\(469\) 1.49796 + 2.24185i 0.0691693 + 0.103519i
\(470\) 13.4827 + 0.559577i 0.621909 + 0.0258113i
\(471\) −3.45400 + 25.0200i −0.159152 + 1.15286i
\(472\) 0.190800 + 29.5312i 0.00878229 + 1.35928i
\(473\) −40.1794 + 5.28972i −1.84745 + 0.243222i
\(474\) −10.1234 + 21.4777i −0.464983 + 0.986503i
\(475\) −9.37228 8.21927i −0.430030 0.377126i
\(476\) −0.669268 3.70229i −0.0306759 0.169694i
\(477\) 3.23061 + 6.76397i 0.147919 + 0.309701i
\(478\) −16.1957 20.0907i −0.740776 0.918927i
\(479\) −16.5241 9.54017i −0.755004 0.435901i 0.0724954 0.997369i \(-0.476904\pi\)
−0.827499 + 0.561467i \(0.810237\pi\)
\(480\) −6.46740 25.9258i −0.295195 1.18335i
\(481\) 5.99335 3.46026i 0.273273 0.157774i
\(482\) −10.1311 3.91466i −0.461458 0.178308i
\(483\) 2.51394 + 0.180641i 0.114388 + 0.00821945i
\(484\) −6.01102 12.7470i −0.273228 0.579411i
\(485\) −1.51275 + 7.60513i −0.0686906 + 0.345331i
\(486\) −12.1110 18.4207i −0.549366 0.835582i
\(487\) 10.8910 26.2931i 0.493517 1.19145i −0.459402 0.888229i \(-0.651936\pi\)
0.952919 0.303226i \(-0.0980638\pi\)
\(488\) 15.8461 2.19042i 0.717318 0.0991556i
\(489\) 4.14902 5.33735i 0.187625 0.241363i
\(490\) 22.5550 + 14.3009i 1.01893 + 0.646051i
\(491\) 6.88254 13.9564i 0.310604 0.629844i −0.684463 0.729048i \(-0.739963\pi\)
0.995067 + 0.0992044i \(0.0316298\pi\)
\(492\) −20.3791 9.01512i −0.918761 0.406433i
\(493\) 7.85735 23.1470i 0.353877 1.04249i
\(494\) −3.19933 10.8891i −0.143945 0.489923i
\(495\) 33.6817 8.57288i 1.51388 0.385323i
\(496\) 23.5333 + 10.7279i 1.05668 + 0.481698i
\(497\) −1.04047 3.88307i −0.0466713 0.174180i
\(498\) 17.0372 10.2424i 0.763456 0.458974i
\(499\) −12.9085 14.7193i −0.577865 0.658928i 0.386876 0.922132i \(-0.373554\pi\)
−0.964740 + 0.263203i \(0.915221\pi\)
\(500\) 3.85361 13.4363i 0.172338 0.600888i
\(501\) 0.110022 + 1.85733i 0.00491541 + 0.0829796i
\(502\) 26.2571 24.1644i 1.17191 1.07851i
\(503\) −9.15802 22.1094i −0.408336 0.985811i −0.985576 0.169236i \(-0.945870\pi\)
0.577239 0.816575i \(-0.304130\pi\)
\(504\) −0.440400 2.28691i −0.0196170 0.101867i
\(505\) 11.0504 26.6780i 0.491736 1.18716i
\(506\) −29.9074 + 10.9584i −1.32955 + 0.487161i
\(507\) 3.67330 17.8791i 0.163137 0.794039i
\(508\) −14.6499 + 4.68855i −0.649982 + 0.208021i
\(509\) 0.209259 3.19268i 0.00927525 0.141513i −0.990710 0.135995i \(-0.956577\pi\)
0.999985 0.00551800i \(-0.00175644\pi\)
\(510\) −41.9824 + 18.2662i −1.85901 + 0.808840i
\(511\) 1.37298 + 0.792691i 0.0607371 + 0.0350666i
\(512\) 18.5668 12.9334i 0.820546 0.571581i
\(513\) 0.500887 26.5722i 0.0221147 1.17319i
\(514\) −0.849844 0.0912213i −0.0374850 0.00402360i
\(515\) −16.6255 33.7132i −0.732608 1.48558i
\(516\) 31.5367 9.87505i 1.38833 0.434725i
\(517\) −14.0749 + 4.77778i −0.619012 + 0.210126i
\(518\) 1.68665 + 0.293659i 0.0741073 + 0.0129026i
\(519\) −35.4830 14.9594i −1.55753 0.656645i
\(520\) −9.04759 + 8.03853i −0.396763 + 0.352513i
\(521\) −3.04213 + 1.26009i −0.133278 + 0.0552056i −0.448326 0.893870i \(-0.647980\pi\)
0.315048 + 0.949076i \(0.397980\pi\)
\(522\) 4.70012 14.3830i 0.205719 0.629526i
\(523\) 23.0840 + 34.5476i 1.00939 + 1.51066i 0.852283 + 0.523081i \(0.175217\pi\)
0.157109 + 0.987581i \(0.449783\pi\)
\(524\) −3.12911 12.5532i −0.136696 0.548387i
\(525\) −0.379318 + 1.09479i −0.0165548 + 0.0477806i
\(526\) 0.252338 + 10.5251i 0.0110024 + 0.458916i
\(527\) 11.4697 42.8053i 0.499626 1.86463i
\(528\) 16.9376 + 24.0698i 0.737116 + 1.04750i
\(529\) 1.32229 + 4.93486i 0.0574909 + 0.214559i
\(530\) 9.24575 2.71651i 0.401610 0.117998i
\(531\) 30.7957 5.72436i 1.33642 0.248416i
\(532\) 1.11969 2.57472i 0.0485448 0.111628i
\(533\) 0.660140 + 10.0718i 0.0285939 + 0.436258i
\(534\) −30.6354 + 15.7874i −1.32572 + 0.683186i
\(535\) −1.49835 + 1.95269i −0.0647793 + 0.0844220i
\(536\) 25.7385 + 10.4669i 1.11173 + 0.452102i
\(537\) 4.96462 + 39.6326i 0.214239 + 1.71027i
\(538\) 6.16648 + 2.85932i 0.265856 + 0.123274i
\(539\) −28.8517 5.73895i −1.24273 0.247194i
\(540\) −25.8573 + 11.6028i −1.11272 + 0.499303i
\(541\) 16.6298 + 11.1117i 0.714971 + 0.477729i 0.859085 0.511832i \(-0.171033\pi\)
−0.144114 + 0.989561i \(0.546033\pi\)
\(542\) 9.31423 1.45414i 0.400080 0.0624606i
\(543\) −27.7263 + 15.7764i −1.18985 + 0.677028i
\(544\) −27.1107 27.7165i −1.16236 1.18833i
\(545\) 18.4944 + 32.0332i 0.792211 + 1.37215i
\(546\) −0.825397 + 0.656866i −0.0353237 + 0.0281113i
\(547\) −12.5162 25.3804i −0.535155 1.08519i −0.981702 0.190426i \(-0.939013\pi\)
0.446547 0.894760i \(-0.352654\pi\)
\(548\) −4.10897 + 0.742785i −0.175526 + 0.0317302i
\(549\) −5.25159 16.1339i −0.224132 0.688579i
\(550\) −1.30758 14.5838i −0.0557552 0.621857i
\(551\) 14.4722 11.1049i 0.616535 0.473084i
\(552\) 22.4913 12.9907i 0.957292 0.552920i
\(553\) 2.11074 + 1.61963i 0.0897576 + 0.0688735i
\(554\) 30.4266 + 19.2919i 1.29270 + 0.819633i
\(555\) −1.23197 20.7975i −0.0522942 0.882805i
\(556\) 9.25648 + 1.38392i 0.392562 + 0.0586913i
\(557\) 4.67453 + 23.5005i 0.198066 + 0.995747i 0.944055 + 0.329788i \(0.106977\pi\)
−0.745989 + 0.665959i \(0.768023\pi\)
\(558\) 6.79727 26.5766i 0.287752 1.12508i
\(559\) −10.5841 10.5841i −0.447661 0.447661i
\(560\) −2.99264 + 0.0910976i −0.126462 + 0.00384958i
\(561\) 35.8829 35.4348i 1.51498 1.49606i
\(562\) 0.686046 + 28.6153i 0.0289391 + 1.20706i
\(563\) −12.6982 + 11.1360i −0.535164 + 0.469327i −0.883756 0.467948i \(-0.844993\pi\)
0.348591 + 0.937275i \(0.386660\pi\)
\(564\) 10.6378 5.80881i 0.447934 0.244595i
\(565\) −1.73598 26.4859i −0.0730332 1.11427i
\(566\) −3.57541 1.11886i −0.150286 0.0470293i
\(567\) −2.30520 + 0.887662i −0.0968094 + 0.0372783i
\(568\) −31.3225 27.1131i −1.31426 1.13764i
\(569\) 19.4265 14.9064i 0.814399 0.624910i −0.115258 0.993336i \(-0.536770\pi\)
0.929657 + 0.368425i \(0.120103\pi\)
\(570\) −33.6229 6.07187i −1.40831 0.254323i
\(571\) −3.44996 10.1633i −0.144376 0.425319i 0.850554 0.525888i \(-0.176267\pi\)
−0.994930 + 0.100569i \(0.967934\pi\)
\(572\) 6.10456 11.8511i 0.255245 0.495520i
\(573\) −9.09152 + 13.4231i −0.379804 + 0.560758i
\(574\) −1.47213 + 2.01683i −0.0614455 + 0.0841807i
\(575\) −12.9217 −0.538873
\(576\) −16.9766 16.9645i −0.707359 0.706855i
\(577\) −3.01883 −0.125675 −0.0628377 0.998024i \(-0.520015\pi\)
−0.0628377 + 0.998024i \(0.520015\pi\)
\(578\) −24.9924 + 34.2397i −1.03955 + 1.42418i
\(579\) 2.41498 + 4.97566i 0.100363 + 0.206781i
\(580\) −17.2933 8.90786i −0.718065 0.369879i
\(581\) −0.715992 2.10924i −0.0297043 0.0875062i
\(582\) 2.35503 + 6.55446i 0.0976189 + 0.271691i
\(583\) −8.42104 + 6.46169i −0.348764 + 0.267616i
\(584\) 16.2954 1.17384i 0.674308 0.0485738i
\(585\) 10.0852 + 7.94196i 0.416972 + 0.328360i
\(586\) −8.23614 2.57736i −0.340232 0.106470i
\(587\) −2.32662 35.4974i −0.0960299 1.46513i −0.725561 0.688158i \(-0.758420\pi\)
0.629531 0.776975i \(-0.283247\pi\)
\(588\) 23.9810 + 0.570662i 0.988958 + 0.0235337i
\(589\) 24.8639 21.8051i 1.02450 0.898462i
\(590\) −0.965154 40.2570i −0.0397348 1.65735i
\(591\) −24.8186 6.81754i −1.02090 0.280436i
\(592\) 16.0868 7.24439i 0.661162 0.297743i
\(593\) −32.3844 32.3844i −1.32987 1.32987i −0.905481 0.424386i \(-0.860490\pi\)
−0.424386 0.905481i \(-0.639510\pi\)
\(594\) 21.9606 22.1867i 0.901053 0.910332i
\(595\) 1.00084 + 5.03156i 0.0410304 + 0.206274i
\(596\) 1.75300 11.7251i 0.0718055 0.480278i
\(597\) 21.5797 + 10.8110i 0.883199 + 0.442465i
\(598\) −9.93561 6.29964i −0.406297 0.257611i
\(599\) −13.9427 10.6986i −0.569682 0.437132i 0.283331 0.959022i \(-0.408560\pi\)
−0.853013 + 0.521890i \(0.825227\pi\)
\(600\) 3.09235 + 11.5326i 0.126245 + 0.470816i
\(601\) −29.9618 + 22.9905i −1.22217 + 0.937802i −0.999313 0.0370504i \(-0.988204\pi\)
−0.222853 + 0.974852i \(0.571537\pi\)
\(602\) −0.330673 3.68811i −0.0134772 0.150316i
\(603\) 6.11220 28.8300i 0.248908 1.17405i
\(604\) −1.85249 10.2477i −0.0753766 0.416971i
\(605\) 8.49948 + 17.2352i 0.345553 + 0.700712i
\(606\) −3.83964 25.6505i −0.155975 1.04198i
\(607\) 10.5287 + 18.2362i 0.427346 + 0.740186i 0.996636 0.0819511i \(-0.0261151\pi\)
−0.569290 + 0.822137i \(0.692782\pi\)
\(608\) −5.33073 28.4379i −0.216190 1.15331i
\(609\) −1.46298 0.856953i −0.0592831 0.0347255i
\(610\) −21.5515 + 3.36463i −0.872596 + 0.136230i
\(611\) −4.56466 3.05001i −0.184666 0.123390i
\(612\) −23.8645 + 33.4900i −0.964665 + 1.35375i
\(613\) 3.48163 + 0.692539i 0.140622 + 0.0279714i 0.264899 0.964276i \(-0.414661\pi\)
−0.124278 + 0.992247i \(0.539661\pi\)
\(614\) −19.4155 9.00275i −0.783546 0.363321i
\(615\) 27.9992 + 11.8043i 1.12904 + 0.475995i
\(616\) 3.03861 1.28170i 0.122429 0.0516411i
\(617\) 22.9977 29.9712i 0.925854 1.20660i −0.0522825 0.998632i \(-0.516650\pi\)
0.978136 0.207964i \(-0.0666837\pi\)
\(618\) −28.4002 18.2582i −1.14242 0.734452i
\(619\) 0.830535 + 12.6715i 0.0333820 + 0.509311i 0.981509 + 0.191418i \(0.0613086\pi\)
−0.948127 + 0.317893i \(0.897025\pi\)
\(620\) −32.3403 14.0641i −1.29882 0.564829i
\(621\) −17.7707 21.0510i −0.713112 0.844748i
\(622\) 10.7148 3.14812i 0.429623 0.126228i
\(623\) 0.999487 + 3.73013i 0.0400436 + 0.149445i
\(624\) −3.24467 + 10.3751i −0.129891 + 0.415336i
\(625\) −8.08708 + 30.1814i −0.323483 + 1.20726i
\(626\) 0.314428 + 13.1149i 0.0125671 + 0.524177i
\(627\) 36.9563 7.11000i 1.47589 0.283946i
\(628\) 28.2987 7.05398i 1.12924 0.281484i
\(629\) −16.7949 25.1353i −0.669655 1.00221i
\(630\) 0.655019 + 3.10736i 0.0260966 + 0.123800i
\(631\) −24.3368 + 10.0806i −0.968833 + 0.401304i −0.810278 0.586046i \(-0.800684\pi\)
−0.158556 + 0.987350i \(0.550684\pi\)
\(632\) 27.3695 + 1.61637i 1.08870 + 0.0642958i
\(633\) −23.8464 + 18.0611i −0.947809 + 0.717864i
\(634\) −5.94802 1.03559i −0.236226 0.0411287i
\(635\) 19.8610 6.74191i 0.788161 0.267545i
\(636\) 5.86016 6.36993i 0.232370 0.252584i
\(637\) −4.80550 9.74458i −0.190401 0.386094i
\(638\) 21.3044 + 2.28679i 0.843450 + 0.0905350i
\(639\) −22.4465 + 37.7743i −0.887971 + 1.49433i
\(640\) −25.0044 + 18.0761i −0.988387 + 0.714520i
\(641\) −22.3621 12.9108i −0.883250 0.509945i −0.0115215 0.999934i \(-0.503667\pi\)
−0.871729 + 0.489989i \(0.837001\pi\)
\(642\) −0.249747 + 2.19658i −0.00985673 + 0.0866920i
\(643\) 2.33836 35.6765i 0.0922161 1.40695i −0.661599 0.749858i \(-0.730122\pi\)
0.753815 0.657087i \(-0.228212\pi\)
\(644\) −0.887101 2.77184i −0.0349567 0.109226i
\(645\) −42.7600 + 14.2161i −1.68367 + 0.559759i
\(646\) −46.5494 + 17.0562i −1.83146 + 0.671068i
\(647\) −4.53140 + 10.9398i −0.178148 + 0.430087i −0.987578 0.157129i \(-0.949776\pi\)
0.809430 + 0.587216i \(0.199776\pi\)
\(648\) −14.5352 + 20.8981i −0.570996 + 0.820953i
\(649\) 16.9739 + 40.9787i 0.666285 + 1.60855i
\(650\) 3.97941 3.66225i 0.156085 0.143645i
\(651\) −2.74819 1.37679i −0.107710 0.0539607i
\(652\) −7.50361 2.15208i −0.293864 0.0842819i
\(653\) 27.3770 + 31.2175i 1.07135 + 1.22164i 0.974039 + 0.226382i \(0.0726897\pi\)
0.0973074 + 0.995254i \(0.468977\pi\)
\(654\) 29.0613 + 16.1000i 1.13639 + 0.629561i
\(655\) 4.56578 + 17.0397i 0.178400 + 0.665797i
\(656\) −0.900898 + 25.7157i −0.0351742 + 1.00403i
\(657\) −4.27432 16.7932i −0.166757 0.655166i
\(658\) −0.382845 1.30303i −0.0149248 0.0507974i
\(659\) 6.02331 17.7441i 0.234635 0.691212i −0.764291 0.644872i \(-0.776911\pi\)
0.998926 0.0463403i \(-0.0147559\pi\)
\(660\) −23.6667 32.4113i −0.921223 1.26161i
\(661\) −4.52089 + 9.16745i −0.175842 + 0.356573i −0.966895 0.255176i \(-0.917867\pi\)
0.791053 + 0.611748i \(0.209533\pi\)
\(662\) 13.6951 + 8.68332i 0.532275 + 0.337487i
\(663\) 18.4513 + 2.54719i 0.716590 + 0.0989247i
\(664\) −18.3008 13.8557i −0.710207 0.537707i
\(665\) −1.46507 + 3.53699i −0.0568129 + 0.137159i
\(666\) −10.5731 15.4396i −0.409700 0.598274i
\(667\) 3.68895 18.5456i 0.142837 0.718088i
\(668\) 1.94320 0.916341i 0.0751848 0.0354543i
\(669\) 16.6579 24.5944i 0.644031 0.950874i
\(670\) −35.3406 13.6557i −1.36533 0.527564i
\(671\) 20.8073 12.0131i 0.803256 0.463760i
\(672\) −2.26156 + 1.45507i −0.0872415 + 0.0561307i
\(673\) 25.6807 + 14.8268i 0.989920 + 0.571531i 0.905250 0.424878i \(-0.139683\pi\)
0.0846697 + 0.996409i \(0.473016\pi\)
\(674\) −23.0154 28.5504i −0.886520 1.09972i
\(675\) 11.4618 5.38620i 0.441164 0.207315i
\(676\) −20.7401 + 3.74922i −0.797696 + 0.144201i
\(677\) 28.6705 + 25.1434i 1.10190 + 0.966339i 0.999596 0.0284149i \(-0.00904595\pi\)
0.102302 + 0.994753i \(0.467379\pi\)
\(678\) −13.5936 19.5853i −0.522060 0.752170i
\(679\) 0.773723 0.101863i 0.0296928 0.00390913i
\(680\) 37.6232 + 37.1402i 1.44279 + 1.42426i
\(681\) 24.0035 9.76636i 0.919816 0.374248i
\(682\) 38.8115 + 1.61081i 1.48617 + 0.0616811i
\(683\) 18.7777 + 28.1028i 0.718508 + 1.07532i 0.993495 + 0.113875i \(0.0363264\pi\)
−0.274987 + 0.961448i \(0.588674\pi\)
\(684\) −28.6927 + 10.8861i −1.09709 + 0.416239i
\(685\) 5.58425 1.11078i 0.213363 0.0424406i
\(686\) 1.27337 5.25279i 0.0486173 0.200552i
\(687\) −0.954115 3.65244i −0.0364018 0.139349i
\(688\) −24.1401 29.5528i −0.920332 1.12669i
\(689\) −3.78685 1.01468i −0.144268 0.0386564i
\(690\) −30.3535 + 18.2479i −1.15554 + 0.694685i
\(691\) −6.48759 + 19.1118i −0.246800 + 0.727048i 0.750973 + 0.660333i \(0.229585\pi\)
−0.997772 + 0.0667146i \(0.978748\pi\)
\(692\) −0.778507 + 44.4578i −0.0295944 + 1.69003i
\(693\) −1.90664 2.93260i −0.0724273 0.111400i
\(694\) −3.23771 + 10.3463i −0.122902 + 0.392742i
\(695\) −12.6529 1.66579i −0.479953 0.0631870i
\(696\) −17.4347 + 1.14585i −0.660860 + 0.0434334i
\(697\) 43.7125 5.75486i 1.65573 0.217981i
\(698\) 43.2200 + 7.52491i 1.63590 + 0.284822i
\(699\) −9.02373 27.1421i −0.341309 1.02661i
\(700\) 1.33635 0.0641142i 0.0505091 0.00242329i
\(701\) 13.3384 + 8.91244i 0.503785 + 0.336618i 0.781355 0.624087i \(-0.214529\pi\)
−0.277570 + 0.960705i \(0.589529\pi\)
\(702\) 11.4389 + 1.44639i 0.431735 + 0.0545907i
\(703\) 22.5594i 0.850844i
\(704\) 18.5144 28.4991i 0.697787 1.07410i
\(705\) −14.3645 + 8.17344i −0.540997 + 0.307829i
\(706\) 35.3806 15.6589i 1.33157 0.589330i
\(707\) −2.89996 0.190073i −0.109064 0.00714844i
\(708\) −19.3732 30.5429i −0.728091 1.14787i
\(709\) 16.8503 + 14.7773i 0.632825 + 0.554972i 0.914525 0.404530i \(-0.132565\pi\)
−0.281700 + 0.959503i \(0.590898\pi\)
\(710\) 43.3510 + 36.2170i 1.62693 + 1.35920i
\(711\) −3.43317 28.8769i −0.128754 1.08297i
\(712\) 30.0889 + 26.0452i 1.12763 + 0.976086i
\(713\) 4.47447 33.9870i 0.167570 1.27282i
\(714\) 3.09896 + 3.41009i 0.115976 + 0.127619i
\(715\) −8.03976 + 16.3030i −0.300670 + 0.609698i
\(716\) 40.3400 22.3579i 1.50758 0.835552i
\(717\) 29.8638 + 10.3471i 1.11528 + 0.386419i
\(718\) 26.5154 + 43.4845i 0.989544 + 1.62283i
\(719\) −10.7262 10.7262i −0.400022 0.400022i 0.478219 0.878241i \(-0.341283\pi\)
−0.878241 + 0.478219i \(0.841283\pi\)
\(720\) 23.5502 + 22.7234i 0.877663 + 0.846850i
\(721\) −2.67509 + 2.67509i −0.0996257 + 0.0996257i
\(722\) −9.84132 2.38570i −0.366256 0.0887867i
\(723\) 13.0625 2.51309i 0.485800 0.0934627i
\(724\) 28.8265 + 22.9323i 1.07133 + 0.852270i
\(725\) 7.79602 + 3.84457i 0.289537 + 0.142784i
\(726\) 14.5190 + 9.33415i 0.538852 + 0.346423i
\(727\) −10.4744 1.37898i −0.388473 0.0511435i −0.0662399 0.997804i \(-0.521100\pi\)
−0.322233 + 0.946660i \(0.604434\pi\)
\(728\) 1.05878 + 0.602202i 0.0392411 + 0.0223191i
\(729\) 24.5376 + 11.2652i 0.908801 + 0.417230i
\(730\) −22.1884 + 1.98939i −0.821230 + 0.0736308i
\(731\) −43.1105 + 49.1581i −1.59450 + 1.81818i
\(732\) −15.0331 + 12.5638i −0.555641 + 0.464371i
\(733\) −1.26775 + 19.3422i −0.0468255 + 0.714419i 0.908319 + 0.418278i \(0.137366\pi\)
−0.955144 + 0.296140i \(0.904300\pi\)
\(734\) 1.26202 + 0.487646i 0.0465820 + 0.0179994i
\(735\) −32.7082 0.205495i −1.20646 0.00757981i
\(736\) −23.5906 18.5194i −0.869562 0.682634i
\(737\) 41.7319 1.53722
\(738\) 27.0164 3.87073i 0.994489 0.142484i
\(739\) 19.5374 29.2397i 0.718693 1.07560i −0.274777 0.961508i \(-0.588604\pi\)
0.993470 0.114092i \(-0.0363960\pi\)
\(740\) −21.7590 + 10.2607i −0.799878 + 0.377192i
\(741\) 10.3928 + 9.23042i 0.381790 + 0.339088i
\(742\) −0.557995 0.793258i −0.0204846 0.0291214i
\(743\) 1.80329 + 13.6973i 0.0661561 + 0.502506i 0.992158 + 0.124988i \(0.0398891\pi\)
−0.926002 + 0.377518i \(0.876778\pi\)
\(744\) −31.4040 + 4.14012i −1.15133 + 0.151784i
\(745\) −2.11003 + 16.0273i −0.0773056 + 0.587195i
\(746\) 1.02997 + 1.96819i 0.0377098 + 0.0720606i
\(747\) −11.0418 + 21.6989i −0.403998 + 0.793919i
\(748\) −53.4008 23.2229i −1.95253 0.849113i
\(749\) 0.234568 + 0.0796250i 0.00857092 + 0.00290943i
\(750\) 4.72262 + 16.4552i 0.172446 + 0.600858i
\(751\) −4.81797 + 17.9809i −0.175810 + 0.656133i 0.820602 + 0.571500i \(0.193638\pi\)
−0.996412 + 0.0846330i \(0.973028\pi\)
\(752\) −10.7983 8.90345i −0.393773 0.324675i
\(753\) −11.5764 + 42.1428i −0.421867 + 1.53577i
\(754\) 4.12010 + 6.75687i 0.150045 + 0.246071i
\(755\) 2.77025 + 13.9270i 0.100820 + 0.506855i
\(756\) 1.94227 + 2.08889i 0.0706396 + 0.0759723i
\(757\) −1.47537 + 0.985809i −0.0536232 + 0.0358298i −0.582093 0.813122i \(-0.697766\pi\)
0.528470 + 0.848952i \(0.322766\pi\)
\(758\) 11.4742 + 12.4679i 0.416762 + 0.452854i
\(759\) 23.9420 30.7992i 0.869040 1.11794i
\(760\) 7.94661 + 38.6438i 0.288254 + 1.40176i
\(761\) −0.819304 6.22323i −0.0296998 0.225592i 0.970158 0.242475i \(-0.0779591\pi\)
−0.999857 + 0.0168827i \(0.994626\pi\)
\(762\) 12.1688 14.3813i 0.440831 0.520978i
\(763\) 2.45452 2.79885i 0.0888597 0.101325i
\(764\) 18.2938 + 3.97304i 0.661845 + 0.143739i
\(765\) 31.7363 46.2285i 1.14743 1.67139i
\(766\) 3.72437 34.6973i 0.134567 1.25366i
\(767\) −8.19122 + 14.1876i −0.295768 + 0.512285i
\(768\) −10.8829 + 25.4865i −0.392703 + 0.919665i
\(769\) 10.9884 + 19.0325i 0.396252 + 0.686329i 0.993260 0.115907i \(-0.0369773\pi\)
−0.597008 + 0.802235i \(0.703644\pi\)
\(770\) −4.11211 + 1.81995i −0.148190 + 0.0655866i
\(771\) 0.941756 0.457090i 0.0339165 0.0164617i
\(772\) 4.29425 4.72707i 0.154554 0.170131i