Properties

Label 144.2.u.a.83.1
Level $144$
Weight $2$
Character 144.83
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 83.1
Character \(\chi\) \(=\) 144.83
Dual form 144.2.u.a.59.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41419 + 0.00754520i) q^{2} +(-0.313101 - 1.70352i) q^{3} +(1.99989 - 0.0213407i) q^{4} +(0.752772 - 2.80938i) q^{5} +(0.455638 + 2.40674i) q^{6} +(-1.02581 + 1.77675i) q^{7} +(-2.82806 + 0.0452695i) q^{8} +(-2.80394 + 1.06674i) q^{9} +O(q^{10})\) \(q+(-1.41419 + 0.00754520i) q^{2} +(-0.313101 - 1.70352i) q^{3} +(1.99989 - 0.0213407i) q^{4} +(0.752772 - 2.80938i) q^{5} +(0.455638 + 2.40674i) q^{6} +(-1.02581 + 1.77675i) q^{7} +(-2.82806 + 0.0452695i) q^{8} +(-2.80394 + 1.06674i) q^{9} +(-1.04337 + 3.97869i) q^{10} +(-0.447752 - 1.67103i) q^{11} +(-0.662520 - 3.40016i) q^{12} +(1.30248 - 4.86091i) q^{13} +(1.43728 - 2.52041i) q^{14} +(-5.02153 - 0.402740i) q^{15} +(3.99909 - 0.0853581i) q^{16} -2.90960i q^{17} +(3.95726 - 1.52974i) q^{18} +(-3.23424 + 3.23424i) q^{19} +(1.44550 - 5.63451i) q^{20} +(3.34790 + 1.19118i) q^{21} +(0.645816 + 2.35979i) q^{22} +(-0.831633 + 0.480143i) q^{23} +(0.962586 + 4.80348i) q^{24} +(-2.99585 - 1.72965i) q^{25} +(-1.80528 + 6.88409i) q^{26} +(2.69513 + 4.44255i) q^{27} +(-2.01358 + 3.57519i) q^{28} +(1.48926 + 5.55800i) q^{29} +(7.10445 + 0.531664i) q^{30} +(8.00513 - 4.62177i) q^{31} +(-5.65484 + 0.150887i) q^{32} +(-2.70644 + 1.28595i) q^{33} +(0.0219535 + 4.11474i) q^{34} +(4.21937 + 4.21937i) q^{35} +(-5.58479 + 2.19320i) q^{36} +(8.18664 - 8.18664i) q^{37} +(4.54944 - 4.59825i) q^{38} +(-8.68844 - 0.696837i) q^{39} +(-2.00171 + 7.97920i) q^{40} +(4.06472 + 7.04030i) q^{41} +(-4.74357 - 1.65929i) q^{42} +(-3.38808 + 0.907834i) q^{43} +(-0.931114 - 3.33232i) q^{44} +(0.886168 + 8.68035i) q^{45} +(1.17247 - 0.685290i) q^{46} +(1.60711 - 2.78360i) q^{47} +(-1.39753 - 6.78579i) q^{48} +(1.39544 + 2.41698i) q^{49} +(4.24976 + 2.42346i) q^{50} +(-4.95655 + 0.910997i) q^{51} +(2.50107 - 9.74906i) q^{52} +(1.65731 + 1.65731i) q^{53} +(-3.84495 - 6.26229i) q^{54} -5.03163 q^{55} +(2.82061 - 5.07120i) q^{56} +(6.52223 + 4.49694i) q^{57} +(-2.14804 - 7.84885i) q^{58} +(8.27439 + 2.21712i) q^{59} +(-10.0511 - 0.698271i) q^{60} +(1.06246 - 0.284684i) q^{61} +(-11.2859 + 6.59647i) q^{62} +(0.980960 - 6.07616i) q^{63} +(7.99590 - 0.256050i) q^{64} +(-12.6757 - 7.31831i) q^{65} +(3.81773 - 1.83901i) q^{66} +(-9.36667 - 2.50979i) q^{67} +(-0.0620930 - 5.81887i) q^{68} +(1.07832 + 1.26637i) q^{69} +(-5.99884 - 5.93517i) q^{70} -2.40828i q^{71} +(7.88142 - 3.14375i) q^{72} -0.312935i q^{73} +(-11.5157 + 11.6393i) q^{74} +(-2.00849 + 5.64503i) q^{75} +(-6.39910 + 6.53714i) q^{76} +(3.42831 + 0.918613i) q^{77} +(12.2924 + 0.919906i) q^{78} +(1.15979 + 0.669606i) q^{79} +(2.77060 - 11.2992i) q^{80} +(6.72412 - 5.98216i) q^{81} +(-5.80142 - 9.92568i) q^{82} +(14.5891 - 3.90915i) q^{83} +(6.72084 + 2.31077i) q^{84} +(-8.17418 - 2.19027i) q^{85} +(4.78455 - 1.30942i) q^{86} +(9.00185 - 4.27719i) q^{87} +(1.34192 + 4.70552i) q^{88} -7.86629 q^{89} +(-1.31871 - 12.2690i) q^{90} +(7.30052 + 7.30052i) q^{91} +(-1.65292 + 0.977980i) q^{92} +(-10.3797 - 12.1898i) q^{93} +(-2.25176 + 3.94867i) q^{94} +(6.65158 + 11.5209i) q^{95} +(2.02757 + 9.58587i) q^{96} +(-6.48861 + 11.2386i) q^{97} +(-1.99166 - 3.40755i) q^{98} +(3.03803 + 4.20783i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41419 + 0.00754520i −0.999986 + 0.00533526i
\(3\) −0.313101 1.70352i −0.180769 0.983526i
\(4\) 1.99989 0.0213407i 0.999943 0.0106704i
\(5\) 0.752772 2.80938i 0.336650 1.25639i −0.565419 0.824804i \(-0.691286\pi\)
0.902069 0.431591i \(-0.142048\pi\)
\(6\) 0.455638 + 2.40674i 0.186013 + 0.982547i
\(7\) −1.02581 + 1.77675i −0.387718 + 0.671548i −0.992142 0.125115i \(-0.960070\pi\)
0.604424 + 0.796663i \(0.293403\pi\)
\(8\) −2.82806 + 0.0452695i −0.999872 + 0.0160052i
\(9\) −2.80394 + 1.06674i −0.934645 + 0.355581i
\(10\) −1.04337 + 3.97869i −0.329942 + 1.25817i
\(11\) −0.447752 1.67103i −0.135002 0.503835i −0.999998 0.00205598i \(-0.999346\pi\)
0.864996 0.501779i \(-0.167321\pi\)
\(12\) −0.662520 3.40016i −0.191253 0.981541i
\(13\) 1.30248 4.86091i 0.361242 1.34817i −0.511203 0.859460i \(-0.670800\pi\)
0.872445 0.488713i \(-0.162534\pi\)
\(14\) 1.43728 2.52041i 0.384130 0.673607i
\(15\) −5.02153 0.402740i −1.29655 0.103987i
\(16\) 3.99909 0.0853581i 0.999772 0.0213395i
\(17\) 2.90960i 0.705681i −0.935683 0.352841i \(-0.885216\pi\)
0.935683 0.352841i \(-0.114784\pi\)
\(18\) 3.95726 1.52974i 0.932735 0.360563i
\(19\) −3.23424 + 3.23424i −0.741986 + 0.741986i −0.972960 0.230974i \(-0.925809\pi\)
0.230974 + 0.972960i \(0.425809\pi\)
\(20\) 1.44550 5.63451i 0.323225 1.25992i
\(21\) 3.34790 + 1.19118i 0.730572 + 0.259936i
\(22\) 0.645816 + 2.35979i 0.137688 + 0.503108i
\(23\) −0.831633 + 0.480143i −0.173407 + 0.100117i −0.584192 0.811616i \(-0.698588\pi\)
0.410784 + 0.911733i \(0.365255\pi\)
\(24\) 0.962586 + 4.80348i 0.196487 + 0.980506i
\(25\) −2.99585 1.72965i −0.599169 0.345931i
\(26\) −1.80528 + 6.88409i −0.354044 + 1.35008i
\(27\) 2.69513 + 4.44255i 0.518678 + 0.854970i
\(28\) −2.01358 + 3.57519i −0.380531 + 0.675647i
\(29\) 1.48926 + 5.55800i 0.276549 + 1.03209i 0.954796 + 0.297261i \(0.0960731\pi\)
−0.678248 + 0.734834i \(0.737260\pi\)
\(30\) 7.10445 + 0.531664i 1.29709 + 0.0970681i
\(31\) 8.00513 4.62177i 1.43776 0.830094i 0.440070 0.897963i \(-0.354954\pi\)
0.997694 + 0.0678697i \(0.0216202\pi\)
\(32\) −5.65484 + 0.150887i −0.999644 + 0.0266733i
\(33\) −2.70644 + 1.28595i −0.471131 + 0.223856i
\(34\) 0.0219535 + 4.11474i 0.00376499 + 0.705671i
\(35\) 4.21937 + 4.21937i 0.713204 + 0.713204i
\(36\) −5.58479 + 2.19320i −0.930798 + 0.365534i
\(37\) 8.18664 8.18664i 1.34588 1.34588i 0.455787 0.890089i \(-0.349358\pi\)
0.890089 0.455787i \(-0.150642\pi\)
\(38\) 4.54944 4.59825i 0.738017 0.745935i
\(39\) −8.68844 0.696837i −1.39126 0.111583i
\(40\) −2.00171 + 7.97920i −0.316498 + 1.26162i
\(41\) 4.06472 + 7.04030i 0.634803 + 1.09951i 0.986557 + 0.163418i \(0.0522519\pi\)
−0.351754 + 0.936092i \(0.614415\pi\)
\(42\) −4.74357 1.65929i −0.731948 0.256035i
\(43\) −3.38808 + 0.907834i −0.516678 + 0.138443i −0.507729 0.861517i \(-0.669515\pi\)
−0.00894834 + 0.999960i \(0.502848\pi\)
\(44\) −0.931114 3.33232i −0.140371 0.502366i
\(45\) 0.886168 + 8.68035i 0.132102 + 1.29399i
\(46\) 1.17247 0.685290i 0.172871 0.101041i
\(47\) 1.60711 2.78360i 0.234421 0.406030i −0.724683 0.689082i \(-0.758014\pi\)
0.959104 + 0.283053i \(0.0913472\pi\)
\(48\) −1.39753 6.78579i −0.201715 0.979444i
\(49\) 1.39544 + 2.41698i 0.199349 + 0.345283i
\(50\) 4.24976 + 2.42346i 0.601006 + 0.342729i
\(51\) −4.95655 + 0.910997i −0.694056 + 0.127565i
\(52\) 2.50107 9.74906i 0.346836 1.35195i
\(53\) 1.65731 + 1.65731i 0.227649 + 0.227649i 0.811710 0.584061i \(-0.198537\pi\)
−0.584061 + 0.811710i \(0.698537\pi\)
\(54\) −3.84495 6.26229i −0.523232 0.852190i
\(55\) −5.03163 −0.678465
\(56\) 2.82061 5.07120i 0.376920 0.677667i
\(57\) 6.52223 + 4.49694i 0.863891 + 0.595635i
\(58\) −2.14804 7.84885i −0.282051 1.03060i
\(59\) 8.27439 + 2.21712i 1.07723 + 0.288644i 0.753462 0.657491i \(-0.228382\pi\)
0.323772 + 0.946135i \(0.395049\pi\)
\(60\) −10.0511 0.698271i −1.29759 0.0901465i
\(61\) 1.06246 0.284684i 0.136034 0.0364501i −0.190160 0.981753i \(-0.560901\pi\)
0.326193 + 0.945303i \(0.394234\pi\)
\(62\) −11.2859 + 6.59647i −1.43332 + 0.837753i
\(63\) 0.980960 6.07616i 0.123589 0.765524i
\(64\) 7.99590 0.256050i 0.999488 0.0320063i
\(65\) −12.6757 7.31831i −1.57223 0.907725i
\(66\) 3.81773 1.83901i 0.469930 0.226366i
\(67\) −9.36667 2.50979i −1.14432 0.306620i −0.363634 0.931542i \(-0.618464\pi\)
−0.780687 + 0.624922i \(0.785131\pi\)
\(68\) −0.0620930 5.81887i −0.00752988 0.705641i
\(69\) 1.07832 + 1.26637i 0.129814 + 0.152453i
\(70\) −5.99884 5.93517i −0.716999 0.709388i
\(71\) 2.40828i 0.285810i −0.989736 0.142905i \(-0.954356\pi\)
0.989736 0.142905i \(-0.0456444\pi\)
\(72\) 7.88142 3.14375i 0.928835 0.370495i
\(73\) 0.312935i 0.0366262i −0.999832 0.0183131i \(-0.994170\pi\)
0.999832 0.0183131i \(-0.00582957\pi\)
\(74\) −11.5157 + 11.6393i −1.33868 + 1.35304i
\(75\) −2.00849 + 5.64503i −0.231921 + 0.651832i
\(76\) −6.39910 + 6.53714i −0.734027 + 0.749861i
\(77\) 3.42831 + 0.918613i 0.390692 + 0.104686i
\(78\) 12.2924 + 0.919906i 1.39184 + 0.104159i
\(79\) 1.15979 + 0.669606i 0.130487 + 0.0753366i 0.563823 0.825896i \(-0.309330\pi\)
−0.433336 + 0.901233i \(0.642664\pi\)
\(80\) 2.77060 11.2992i 0.309762 1.26329i
\(81\) 6.72412 5.98216i 0.747124 0.664685i
\(82\) −5.80142 9.92568i −0.640660 1.09611i
\(83\) 14.5891 3.90915i 1.60137 0.429085i 0.655911 0.754839i \(-0.272285\pi\)
0.945455 + 0.325754i \(0.105618\pi\)
\(84\) 6.72084 + 2.31077i 0.733304 + 0.252126i
\(85\) −8.17418 2.19027i −0.886614 0.237568i
\(86\) 4.78455 1.30942i 0.515932 0.141198i
\(87\) 9.00185 4.27719i 0.965100 0.458563i
\(88\) 1.34192 + 4.70552i 0.143049 + 0.501610i
\(89\) −7.86629 −0.833826 −0.416913 0.908947i \(-0.636888\pi\)
−0.416913 + 0.908947i \(0.636888\pi\)
\(90\) −1.31871 12.2690i −0.139004 1.29327i
\(91\) 7.30052 + 7.30052i 0.765303 + 0.765303i
\(92\) −1.65292 + 0.977980i −0.172329 + 0.101961i
\(93\) −10.3797 12.1898i −1.07632 1.26402i
\(94\) −2.25176 + 3.94867i −0.232252 + 0.407274i
\(95\) 6.65158 + 11.5209i 0.682438 + 1.18202i
\(96\) 2.02757 + 9.58587i 0.206938 + 0.978354i
\(97\) −6.48861 + 11.2386i −0.658819 + 1.14111i 0.322103 + 0.946705i \(0.395610\pi\)
−0.980922 + 0.194403i \(0.937723\pi\)
\(98\) −1.99166 3.40755i −0.201188 0.344214i
\(99\) 3.03803 + 4.20783i 0.305334 + 0.422903i
\(100\) −6.02826 3.39518i −0.602826 0.339518i
\(101\) −6.84133 + 1.83313i −0.680738 + 0.182403i −0.582587 0.812768i \(-0.697959\pi\)
−0.0981510 + 0.995172i \(0.531293\pi\)
\(102\) 7.00265 1.32572i 0.693365 0.131266i
\(103\) −2.35803 4.08423i −0.232344 0.402431i 0.726154 0.687533i \(-0.241306\pi\)
−0.958497 + 0.285101i \(0.907973\pi\)
\(104\) −3.46344 + 13.8059i −0.339618 + 1.35378i
\(105\) 5.86668 8.50885i 0.572529 0.830379i
\(106\) −2.35626 2.33125i −0.228860 0.226431i
\(107\) −8.28006 + 8.28006i −0.800464 + 0.800464i −0.983168 0.182704i \(-0.941515\pi\)
0.182704 + 0.983168i \(0.441515\pi\)
\(108\) 5.48476 + 8.82708i 0.527771 + 0.849387i
\(109\) −4.14079 4.14079i −0.396616 0.396616i 0.480422 0.877038i \(-0.340484\pi\)
−0.877038 + 0.480422i \(0.840484\pi\)
\(110\) 7.11570 0.0379647i 0.678455 0.00361979i
\(111\) −16.5093 11.3828i −1.56700 1.08041i
\(112\) −3.95063 + 7.19294i −0.373299 + 0.679669i
\(113\) −13.3502 + 7.70777i −1.25589 + 0.725086i −0.972272 0.233853i \(-0.924866\pi\)
−0.283613 + 0.958939i \(0.591533\pi\)
\(114\) −9.25763 6.31034i −0.867056 0.591017i
\(115\) 0.722877 + 2.69781i 0.0674086 + 0.251573i
\(116\) 3.09696 + 11.0836i 0.287546 + 1.02908i
\(117\) 1.53328 + 15.0191i 0.141752 + 1.38851i
\(118\) −11.7183 3.07300i −1.07876 0.282893i
\(119\) 5.16962 + 2.98468i 0.473899 + 0.273606i
\(120\) 14.2194 + 0.911654i 1.29805 + 0.0832222i
\(121\) 6.93441 4.00358i 0.630401 0.363962i
\(122\) −1.50037 + 0.410615i −0.135837 + 0.0371753i
\(123\) 10.7206 9.12864i 0.966644 0.823102i
\(124\) 15.9107 9.41384i 1.42883 0.845388i
\(125\) 3.16861 3.16861i 0.283409 0.283409i
\(126\) −1.34142 + 8.60027i −0.119503 + 0.766173i
\(127\) 9.75481i 0.865599i 0.901490 + 0.432800i \(0.142474\pi\)
−0.901490 + 0.432800i \(0.857526\pi\)
\(128\) −11.3058 + 0.422435i −0.999303 + 0.0373383i
\(129\) 2.60732 + 5.48741i 0.229562 + 0.483140i
\(130\) 17.9811 + 10.2539i 1.57705 + 0.899324i
\(131\) 2.98138 11.1267i 0.260485 0.972142i −0.704472 0.709732i \(-0.748816\pi\)
0.964956 0.262410i \(-0.0845174\pi\)
\(132\) −5.38513 + 2.62952i −0.468715 + 0.228870i
\(133\) −2.42873 9.06414i −0.210598 0.785961i
\(134\) 13.2652 + 3.47866i 1.14594 + 0.300510i
\(135\) 14.5097 4.22742i 1.24879 0.363839i
\(136\) 0.131716 + 8.22853i 0.0112946 + 0.705591i
\(137\) −4.19840 + 7.27184i −0.358694 + 0.621276i −0.987743 0.156090i \(-0.950111\pi\)
0.629049 + 0.777365i \(0.283444\pi\)
\(138\) −1.53450 1.78275i −0.130626 0.151758i
\(139\) −2.62078 + 9.78090i −0.222292 + 0.829605i 0.761179 + 0.648541i \(0.224621\pi\)
−0.983471 + 0.181064i \(0.942046\pi\)
\(140\) 8.52830 + 8.34822i 0.720773 + 0.705553i
\(141\) −5.24509 1.86619i −0.441716 0.157162i
\(142\) 0.0181709 + 3.40577i 0.00152487 + 0.285806i
\(143\) −8.70593 −0.728026
\(144\) −11.1221 + 4.50534i −0.926845 + 0.375445i
\(145\) 16.7356 1.38982
\(146\) 0.00236115 + 0.442550i 0.000195411 + 0.0366257i
\(147\) 3.68045 3.13392i 0.303558 0.258481i
\(148\) 16.1976 16.5471i 1.33144 1.36016i
\(149\) 3.55815 13.2792i 0.291495 1.08787i −0.652466 0.757818i \(-0.726266\pi\)
0.943961 0.330056i \(-0.107068\pi\)
\(150\) 2.79780 7.99832i 0.228440 0.653060i
\(151\) −1.77992 + 3.08290i −0.144848 + 0.250883i −0.929316 0.369285i \(-0.879602\pi\)
0.784469 + 0.620169i \(0.212936\pi\)
\(152\) 9.00024 9.29306i 0.730016 0.753767i
\(153\) 3.10380 + 8.15833i 0.250927 + 0.659562i
\(154\) −4.85523 1.27323i −0.391245 0.102600i
\(155\) −6.95827 25.9686i −0.558902 2.08585i
\(156\) −17.3908 1.20818i −1.39238 0.0967316i
\(157\) −1.50874 + 5.63069i −0.120411 + 0.449378i −0.999635 0.0270302i \(-0.991395\pi\)
0.879224 + 0.476408i \(0.158062\pi\)
\(158\) −1.64522 0.938202i −0.130887 0.0746394i
\(159\) 2.30435 3.34215i 0.182747 0.265050i
\(160\) −3.83291 + 16.0002i −0.303018 + 1.26493i
\(161\) 1.97014i 0.155268i
\(162\) −9.46406 + 8.51067i −0.743567 + 0.668661i
\(163\) 11.8727 11.8727i 0.929944 0.929944i −0.0677576 0.997702i \(-0.521584\pi\)
0.997702 + 0.0677576i \(0.0215845\pi\)
\(164\) 8.27922 + 13.9931i 0.646499 + 1.09267i
\(165\) 1.57541 + 8.57146i 0.122645 + 0.667288i
\(166\) −20.6024 + 5.63837i −1.59905 + 0.437622i
\(167\) −4.69768 + 2.71220i −0.363517 + 0.209877i −0.670622 0.741799i \(-0.733973\pi\)
0.307105 + 0.951676i \(0.400640\pi\)
\(168\) −9.52200 3.21717i −0.734638 0.248210i
\(169\) −10.6737 6.16244i −0.821050 0.474034i
\(170\) 11.5764 + 3.03578i 0.887869 + 0.232834i
\(171\) 5.61850 12.5187i 0.429658 0.957331i
\(172\) −6.75641 + 1.88787i −0.515171 + 0.143949i
\(173\) 4.12941 + 15.4112i 0.313953 + 1.17169i 0.924960 + 0.380064i \(0.124098\pi\)
−0.611007 + 0.791625i \(0.709235\pi\)
\(174\) −12.6981 + 6.11670i −0.962640 + 0.463706i
\(175\) 6.14632 3.54858i 0.464618 0.268247i
\(176\) −1.93324 6.64439i −0.145723 0.500840i
\(177\) 1.18618 14.7897i 0.0891586 1.11167i
\(178\) 11.1245 0.0593528i 0.833814 0.00444868i
\(179\) −9.89241 9.89241i −0.739394 0.739394i 0.233067 0.972461i \(-0.425124\pi\)
−0.972461 + 0.233067i \(0.925124\pi\)
\(180\) 1.95748 + 17.3408i 0.145902 + 1.29251i
\(181\) −12.4781 + 12.4781i −0.927486 + 0.927486i −0.997543 0.0700567i \(-0.977682\pi\)
0.0700567 + 0.997543i \(0.477682\pi\)
\(182\) −10.3794 10.2693i −0.769375 0.761209i
\(183\) −0.817620 1.72078i −0.0604402 0.127203i
\(184\) 2.33018 1.39552i 0.171783 0.102879i
\(185\) −16.8368 29.1621i −1.23786 2.14404i
\(186\) 14.7708 + 17.1604i 1.08305 + 1.25826i
\(187\) −4.86204 + 1.30278i −0.355547 + 0.0952686i
\(188\) 3.15464 5.60118i 0.230075 0.408508i
\(189\) −10.6580 + 0.231368i −0.775254 + 0.0168295i
\(190\) −9.49355 16.2426i −0.688735 1.17836i
\(191\) −2.68392 + 4.64869i −0.194202 + 0.336367i −0.946639 0.322297i \(-0.895545\pi\)
0.752437 + 0.658664i \(0.228878\pi\)
\(192\) −2.93971 13.5410i −0.212155 0.977236i
\(193\) −2.67918 4.64047i −0.192852 0.334029i 0.753343 0.657628i \(-0.228440\pi\)
−0.946194 + 0.323600i \(0.895107\pi\)
\(194\) 9.09135 15.9425i 0.652721 1.14461i
\(195\) −8.49810 + 23.8846i −0.608562 + 1.71041i
\(196\) 2.84231 + 4.80390i 0.203022 + 0.343136i
\(197\) 8.66946 + 8.66946i 0.617673 + 0.617673i 0.944934 0.327261i \(-0.106126\pi\)
−0.327261 + 0.944934i \(0.606126\pi\)
\(198\) −4.32811 5.92777i −0.307586 0.421268i
\(199\) 10.3440 0.733266 0.366633 0.930366i \(-0.380510\pi\)
0.366633 + 0.930366i \(0.380510\pi\)
\(200\) 8.55075 + 4.75595i 0.604629 + 0.336296i
\(201\) −1.34276 + 16.7421i −0.0947111 + 1.18090i
\(202\) 9.66114 2.64402i 0.679755 0.186033i
\(203\) −11.4029 3.05539i −0.800324 0.214446i
\(204\) −9.89309 + 1.92767i −0.692655 + 0.134964i
\(205\) 22.8387 6.11962i 1.59513 0.427413i
\(206\) 3.36553 + 5.75810i 0.234488 + 0.401186i
\(207\) 1.81966 2.23343i 0.126475 0.155234i
\(208\) 4.79380 19.5504i 0.332390 1.35558i
\(209\) 6.85267 + 3.95639i 0.474009 + 0.273669i
\(210\) −8.23242 + 12.0774i −0.568091 + 0.833422i
\(211\) −22.9712 6.15510i −1.58140 0.423735i −0.642041 0.766671i \(-0.721912\pi\)
−0.939359 + 0.342936i \(0.888579\pi\)
\(212\) 3.34979 + 3.27906i 0.230065 + 0.225207i
\(213\) −4.10254 + 0.754033i −0.281102 + 0.0516655i
\(214\) 11.6471 11.7721i 0.796182 0.804723i
\(215\) 10.2018i 0.695758i
\(216\) −7.82311 12.4418i −0.532295 0.846559i
\(217\) 18.9641i 1.28737i
\(218\) 5.88712 + 5.82464i 0.398726 + 0.394494i
\(219\) −0.533089 + 0.0979800i −0.0360228 + 0.00662088i
\(220\) −10.0627 + 0.107379i −0.678426 + 0.00723947i
\(221\) −14.1433 3.78968i −0.951381 0.254922i
\(222\) 23.4333 + 15.9730i 1.57274 + 1.07204i
\(223\) 10.1818 + 5.87844i 0.681821 + 0.393650i 0.800541 0.599278i \(-0.204546\pi\)
−0.118720 + 0.992928i \(0.537879\pi\)
\(224\) 5.53268 10.2020i 0.369668 0.681651i
\(225\) 10.2453 + 1.65404i 0.683017 + 0.110269i
\(226\) 18.8217 11.0010i 1.25200 0.731776i
\(227\) 1.85098 0.495968i 0.122854 0.0329185i −0.196868 0.980430i \(-0.563077\pi\)
0.319722 + 0.947511i \(0.396410\pi\)
\(228\) 13.1397 + 8.85419i 0.870197 + 0.586383i
\(229\) −2.92857 0.784708i −0.193525 0.0518550i 0.160754 0.986994i \(-0.448607\pi\)
−0.354280 + 0.935139i \(0.615274\pi\)
\(230\) −1.04264 3.80978i −0.0687499 0.251209i
\(231\) 0.491467 6.12780i 0.0323361 0.403180i
\(232\) −4.46333 15.6510i −0.293032 1.02754i
\(233\) 22.3128 1.46176 0.730881 0.682505i \(-0.239109\pi\)
0.730881 + 0.682505i \(0.239109\pi\)
\(234\) −2.28168 21.2283i −0.149158 1.38774i
\(235\) −6.61041 6.61041i −0.431216 0.431216i
\(236\) 16.5952 + 4.25740i 1.08025 + 0.277133i
\(237\) 0.777554 2.18538i 0.0505076 0.141956i
\(238\) −7.33337 4.18191i −0.475352 0.271073i
\(239\) 2.20682 + 3.82232i 0.142747 + 0.247246i 0.928530 0.371257i \(-0.121073\pi\)
−0.785783 + 0.618502i \(0.787740\pi\)
\(240\) −20.1159 1.18197i −1.29848 0.0762956i
\(241\) −6.92239 + 11.9899i −0.445911 + 0.772340i −0.998115 0.0613689i \(-0.980453\pi\)
0.552205 + 0.833709i \(0.313787\pi\)
\(242\) −9.77639 + 5.71416i −0.628450 + 0.367320i
\(243\) −12.2960 9.58162i −0.788791 0.614661i
\(244\) 2.11872 0.592010i 0.135637 0.0378995i
\(245\) 7.84068 2.10090i 0.500922 0.134222i
\(246\) −15.0921 + 12.9906i −0.962239 + 0.828247i
\(247\) 11.5088 + 19.9339i 0.732290 + 1.26836i
\(248\) −22.4298 + 13.4330i −1.42429 + 0.852999i
\(249\) −11.2272 23.6289i −0.711492 1.49742i
\(250\) −4.45712 + 4.50494i −0.281893 + 0.284917i
\(251\) 5.46337 5.46337i 0.344845 0.344845i −0.513340 0.858185i \(-0.671592\pi\)
0.858185 + 0.513340i \(0.171592\pi\)
\(252\) 1.83214 12.1726i 0.115414 0.766799i
\(253\) 1.17470 + 1.17470i 0.0738528 + 0.0738528i
\(254\) −0.0736020 13.7952i −0.00461820 0.865587i
\(255\) −1.17181 + 14.6106i −0.0733817 + 0.914953i
\(256\) 15.9854 0.682709i 0.999089 0.0426693i
\(257\) 3.48944 2.01463i 0.217665 0.125669i −0.387203 0.921994i \(-0.626559\pi\)
0.604869 + 0.796325i \(0.293226\pi\)
\(258\) −3.72866 7.74059i −0.232136 0.481908i
\(259\) 6.14770 + 22.9435i 0.381999 + 1.42564i
\(260\) −25.5061 14.3653i −1.58182 0.890897i
\(261\) −10.1048 13.9956i −0.625468 0.866307i
\(262\) −4.13230 + 15.7578i −0.255294 + 0.973518i
\(263\) −1.38048 0.797018i −0.0851238 0.0491463i 0.456834 0.889552i \(-0.348983\pi\)
−0.541958 + 0.840406i \(0.682317\pi\)
\(264\) 7.59578 3.75928i 0.467488 0.231368i
\(265\) 5.90359 3.40844i 0.362655 0.209379i
\(266\) 3.50308 + 12.8001i 0.214788 + 0.784826i
\(267\) 2.46294 + 13.4004i 0.150730 + 0.820089i
\(268\) −18.7858 4.81940i −1.14753 0.294392i
\(269\) 7.39664 7.39664i 0.450981 0.450981i −0.444699 0.895680i \(-0.646689\pi\)
0.895680 + 0.444699i \(0.146689\pi\)
\(270\) −20.4876 + 6.08787i −1.24683 + 0.370496i
\(271\) 9.52293i 0.578477i 0.957257 + 0.289238i \(0.0934020\pi\)
−0.957257 + 0.289238i \(0.906598\pi\)
\(272\) −0.248358 11.6357i −0.0150589 0.705521i
\(273\) 10.1508 14.7224i 0.614352 0.891038i
\(274\) 5.88248 10.3155i 0.355374 0.623180i
\(275\) −1.54891 + 5.78061i −0.0934029 + 0.348584i
\(276\) 2.18354 + 2.50958i 0.131433 + 0.151059i
\(277\) 3.34499 + 12.4837i 0.200981 + 0.750071i 0.990637 + 0.136521i \(0.0435922\pi\)
−0.789656 + 0.613549i \(0.789741\pi\)
\(278\) 3.63250 13.8519i 0.217863 0.830779i
\(279\) −17.5156 + 21.4986i −1.04863 + 1.28709i
\(280\) −12.1237 11.7416i −0.724527 0.701697i
\(281\) 3.22268 5.58184i 0.192249 0.332985i −0.753746 0.657165i \(-0.771755\pi\)
0.945995 + 0.324181i \(0.105089\pi\)
\(282\) 7.43166 + 2.59958i 0.442549 + 0.154803i
\(283\) 4.51670 16.8566i 0.268490 1.00202i −0.691589 0.722291i \(-0.743089\pi\)
0.960079 0.279727i \(-0.0902441\pi\)
\(284\) −0.0513945 4.81628i −0.00304970 0.285794i
\(285\) 17.5434 14.9383i 1.03918 0.884867i
\(286\) 12.3119 0.0656880i 0.728016 0.00388421i
\(287\) −16.6785 −0.984498
\(288\) 15.6949 6.45534i 0.924828 0.380385i
\(289\) 8.53424 0.502014
\(290\) −23.6674 + 0.126274i −1.38980 + 0.00741504i
\(291\) 21.1767 + 7.53464i 1.24140 + 0.441689i
\(292\) −0.00667826 0.625834i −0.000390816 0.0366241i
\(293\) −1.75126 + 6.53579i −0.102310 + 0.381825i −0.998026 0.0628008i \(-0.979997\pi\)
0.895716 + 0.444626i \(0.146663\pi\)
\(294\) −5.18122 + 4.45974i −0.302175 + 0.260097i
\(295\) 12.4575 21.5770i 0.725302 1.25626i
\(296\) −22.7818 + 23.5230i −1.32416 + 1.36724i
\(297\) 6.21690 6.49281i 0.360741 0.376751i
\(298\) −4.93172 + 18.8062i −0.285687 + 1.08941i
\(299\) 1.25075 + 4.66787i 0.0723328 + 0.269950i
\(300\) −3.89628 + 11.3323i −0.224952 + 0.654269i
\(301\) 1.86252 6.95103i 0.107354 0.400651i
\(302\) 2.49388 4.37325i 0.143507 0.251652i
\(303\) 5.26479 + 11.0804i 0.302454 + 0.636550i
\(304\) −12.6580 + 13.2101i −0.725984 + 0.757651i
\(305\) 3.19915i 0.183183i
\(306\) −4.45092 11.5140i −0.254442 0.658214i
\(307\) 4.83046 4.83046i 0.275689 0.275689i −0.555696 0.831385i \(-0.687548\pi\)
0.831385 + 0.555696i \(0.187548\pi\)
\(308\) 6.87584 + 1.76396i 0.391787 + 0.100511i
\(309\) −6.21926 + 5.29572i −0.353801 + 0.301263i
\(310\) 10.0363 + 36.6722i 0.570023 + 2.08284i
\(311\) −0.0401112 + 0.0231582i −0.00227450 + 0.00131318i −0.501137 0.865368i \(-0.667085\pi\)
0.498862 + 0.866681i \(0.333751\pi\)
\(312\) 24.6030 + 1.57738i 1.39287 + 0.0893015i
\(313\) 0.548529 + 0.316693i 0.0310047 + 0.0179006i 0.515422 0.856936i \(-0.327635\pi\)
−0.484418 + 0.874837i \(0.660968\pi\)
\(314\) 2.09117 7.97427i 0.118011 0.450014i
\(315\) −16.3318 7.32986i −0.920194 0.412991i
\(316\) 2.33374 + 1.31439i 0.131283 + 0.0739400i
\(317\) 2.93614 + 10.9578i 0.164910 + 0.615453i 0.998052 + 0.0623932i \(0.0198733\pi\)
−0.833141 + 0.553060i \(0.813460\pi\)
\(318\) −3.23357 + 4.74384i −0.181330 + 0.266021i
\(319\) 8.62078 4.97721i 0.482671 0.278670i
\(320\) 5.29975 22.6563i 0.296265 1.26653i
\(321\) 16.6977 + 11.5127i 0.931975 + 0.642578i
\(322\) 0.0148651 + 2.78615i 0.000828398 + 0.155266i
\(323\) 9.41035 + 9.41035i 0.523606 + 0.523606i
\(324\) 13.3198 12.1071i 0.739989 0.672619i
\(325\) −12.3097 + 12.3097i −0.682820 + 0.682820i
\(326\) −16.7008 + 16.8799i −0.924969 + 0.934892i
\(327\) −5.75742 + 8.35039i −0.318386 + 0.461778i
\(328\) −11.8140 19.7264i −0.652319 1.08921i
\(329\) 3.29717 + 5.71086i 0.181779 + 0.314850i
\(330\) −2.29260 12.1098i −0.126204 0.666624i
\(331\) −18.0788 + 4.84419i −0.993699 + 0.266261i −0.718804 0.695213i \(-0.755310\pi\)
−0.274896 + 0.961474i \(0.588643\pi\)
\(332\) 29.0932 8.12919i 1.59670 0.446147i
\(333\) −14.2218 + 31.6879i −0.779349 + 1.73649i
\(334\) 6.62296 3.87103i 0.362392 0.211813i
\(335\) −14.1019 + 24.4253i −0.770471 + 1.33449i
\(336\) 13.4902 + 4.47785i 0.735952 + 0.244287i
\(337\) 14.8168 + 25.6634i 0.807120 + 1.39797i 0.914850 + 0.403793i \(0.132309\pi\)
−0.107730 + 0.994180i \(0.534358\pi\)
\(338\) 15.1411 + 8.63434i 0.823568 + 0.469646i
\(339\) 17.3103 + 20.3290i 0.940165 + 1.10412i
\(340\) −16.3942 4.20584i −0.889099 0.228094i
\(341\) −11.3074 11.3074i −0.612332 0.612332i
\(342\) −7.85119 + 17.7463i −0.424544 + 0.959609i
\(343\) −20.0871 −1.08460
\(344\) 9.54062 2.72079i 0.514396 0.146695i
\(345\) 4.36944 2.07612i 0.235243 0.111775i
\(346\) −5.95606 21.7632i −0.320200 1.17000i
\(347\) −12.3178 3.30055i −0.661254 0.177183i −0.0874424 0.996170i \(-0.527869\pi\)
−0.573812 + 0.818987i \(0.694536\pi\)
\(348\) 17.9114 8.74600i 0.960152 0.468835i
\(349\) −3.68302 + 0.986864i −0.197148 + 0.0528256i −0.356042 0.934470i \(-0.615874\pi\)
0.158894 + 0.987296i \(0.449207\pi\)
\(350\) −8.66530 + 5.06475i −0.463180 + 0.270722i
\(351\) 25.1052 7.31445i 1.34002 0.390417i
\(352\) 2.78410 + 9.38187i 0.148393 + 0.500055i
\(353\) 5.12202 + 2.95720i 0.272618 + 0.157396i 0.630077 0.776533i \(-0.283023\pi\)
−0.357459 + 0.933929i \(0.616357\pi\)
\(354\) −1.56589 + 20.9245i −0.0832263 + 1.11213i
\(355\) −6.76578 1.81289i −0.359090 0.0962180i
\(356\) −15.7317 + 0.167873i −0.833778 + 0.00889723i
\(357\) 3.46585 9.74105i 0.183432 0.515551i
\(358\) 14.0644 + 13.9151i 0.743328 + 0.735438i
\(359\) 30.3546i 1.60206i −0.598626 0.801028i \(-0.704287\pi\)
0.598626 0.801028i \(-0.295713\pi\)
\(360\) −2.89909 24.5085i −0.152796 1.29171i
\(361\) 1.92066i 0.101088i
\(362\) 17.5522 17.7405i 0.922525 0.932421i
\(363\) −8.99134 10.5594i −0.471923 0.554222i
\(364\) 14.7560 + 14.4444i 0.773425 + 0.757093i
\(365\) −0.879154 0.235569i −0.0460170 0.0123302i
\(366\) 1.16926 + 2.42734i 0.0611180 + 0.126879i
\(367\) −24.4676 14.1264i −1.27720 0.737392i −0.300868 0.953666i \(-0.597276\pi\)
−0.976333 + 0.216274i \(0.930610\pi\)
\(368\) −3.28479 + 1.99112i −0.171231 + 0.103794i
\(369\) −18.9074 15.4045i −0.984281 0.801928i
\(370\) 24.0305 + 41.1138i 1.24928 + 2.13741i
\(371\) −4.64469 + 1.24454i −0.241141 + 0.0646134i
\(372\) −21.0183 24.1567i −1.08975 1.25247i
\(373\) 1.41897 + 0.380211i 0.0734714 + 0.0196866i 0.295367 0.955384i \(-0.404558\pi\)
−0.221896 + 0.975070i \(0.571225\pi\)
\(374\) 6.86603 1.87907i 0.355034 0.0971642i
\(375\) −6.38987 4.40569i −0.329972 0.227509i
\(376\) −4.41900 + 7.94495i −0.227893 + 0.409729i
\(377\) 28.9566 1.49134
\(378\) 15.0707 0.407616i 0.775153 0.0209655i
\(379\) 1.06529 + 1.06529i 0.0547204 + 0.0547204i 0.733937 0.679217i \(-0.237680\pi\)
−0.679217 + 0.733937i \(0.737680\pi\)
\(380\) 13.5483 + 22.8985i 0.695012 + 1.17467i
\(381\) 16.6175 3.05424i 0.851339 0.156473i
\(382\) 3.76051 6.59440i 0.192404 0.337399i
\(383\) 9.90139 + 17.1497i 0.505937 + 0.876309i 0.999976 + 0.00686957i \(0.00218667\pi\)
−0.494039 + 0.869440i \(0.664480\pi\)
\(384\) 4.25948 + 19.1274i 0.217366 + 0.976090i
\(385\) 5.16148 8.93994i 0.263053 0.455621i
\(386\) 3.82389 + 6.54231i 0.194631 + 0.332995i
\(387\) 8.53154 6.15972i 0.433683 0.313116i
\(388\) −12.7366 + 22.6144i −0.646605 + 1.14807i
\(389\) −2.46734 + 0.661123i −0.125099 + 0.0335203i −0.320825 0.947138i \(-0.603960\pi\)
0.195726 + 0.980659i \(0.437294\pi\)
\(390\) 11.8377 33.8416i 0.599428 1.71364i
\(391\) 1.39702 + 2.41972i 0.0706506 + 0.122370i
\(392\) −4.05582 6.77220i −0.204850 0.342048i
\(393\) −19.8880 1.59507i −1.00321 0.0804606i
\(394\) −12.3257 12.1949i −0.620960 0.614369i
\(395\) 2.75424 2.75424i 0.138581 0.138581i
\(396\) 6.16552 + 8.35035i 0.309829 + 0.419621i
\(397\) −21.2472 21.2472i −1.06637 1.06637i −0.997635 0.0687299i \(-0.978105\pi\)
−0.0687299 0.997635i \(-0.521895\pi\)
\(398\) −14.6284 + 0.0780475i −0.733256 + 0.00391217i
\(399\) −14.6805 + 6.97537i −0.734943 + 0.349205i
\(400\) −12.1283 6.66132i −0.606415 0.333066i
\(401\) 17.0300 9.83227i 0.850437 0.491000i −0.0103610 0.999946i \(-0.503298\pi\)
0.860798 + 0.508946i \(0.169965\pi\)
\(402\) 1.77260 23.6867i 0.0884094 1.18138i
\(403\) −12.0395 44.9320i −0.599729 2.23822i
\(404\) −13.6428 + 3.81205i −0.678753 + 0.189657i
\(405\) −11.7445 23.3938i −0.583587 1.16245i
\(406\) 16.1489 + 4.23487i 0.801456 + 0.210173i
\(407\) −17.3457 10.0146i −0.859796 0.496404i
\(408\) 13.9762 2.80074i 0.691925 0.138657i
\(409\) −0.370476 + 0.213894i −0.0183189 + 0.0105764i −0.509131 0.860689i \(-0.670033\pi\)
0.490813 + 0.871265i \(0.336700\pi\)
\(410\) −32.2522 + 8.82664i −1.59282 + 0.435917i
\(411\) 13.7022 + 4.87523i 0.675881 + 0.240477i
\(412\) −4.80296 8.11768i −0.236625 0.399929i
\(413\) −12.4272 + 12.4272i −0.611502 + 0.611502i
\(414\) −2.55649 + 3.17223i −0.125645 + 0.155907i
\(415\) 43.9292i 2.15640i
\(416\) −6.63185 + 27.6842i −0.325153 + 1.35733i
\(417\) 17.4825 + 1.40214i 0.856121 + 0.0686633i
\(418\) −9.72085 5.54340i −0.475462 0.271136i
\(419\) −8.85545 + 33.0490i −0.432617 + 1.61455i 0.314088 + 0.949394i \(0.398301\pi\)
−0.746705 + 0.665155i \(0.768365\pi\)
\(420\) 11.5511 17.1419i 0.563636 0.836441i
\(421\) −4.16367 15.5390i −0.202925 0.757326i −0.990072 0.140561i \(-0.955109\pi\)
0.787147 0.616765i \(-0.211557\pi\)
\(422\) 32.5321 + 8.53118i 1.58364 + 0.415291i
\(423\) −1.53685 + 9.51941i −0.0747243 + 0.462849i
\(424\) −4.76200 4.61195i −0.231263 0.223976i
\(425\) −5.03260 + 8.71671i −0.244117 + 0.422823i
\(426\) 5.79610 1.09730i 0.280822 0.0531645i
\(427\) −0.584062 + 2.17975i −0.0282647 + 0.105485i
\(428\) −16.3825 + 16.7359i −0.791877 + 0.808959i
\(429\) 2.72583 + 14.8307i 0.131604 + 0.716032i
\(430\) −0.0769748 14.4273i −0.00371205 0.695748i
\(431\) 6.69108 0.322298 0.161149 0.986930i \(-0.448480\pi\)
0.161149 + 0.986930i \(0.448480\pi\)
\(432\) 11.1573 + 17.5361i 0.536804 + 0.843707i
\(433\) −16.7354 −0.804254 −0.402127 0.915584i \(-0.631729\pi\)
−0.402127 + 0.915584i \(0.631729\pi\)
\(434\) −0.143088 26.8190i −0.00686846 1.28735i
\(435\) −5.23993 28.5094i −0.251236 1.36692i
\(436\) −8.36948 8.19274i −0.400825 0.392361i
\(437\) 1.13680 4.24260i 0.0543806 0.202951i
\(438\) 0.753152 0.142585i 0.0359870 0.00681297i
\(439\) 5.71817 9.90416i 0.272913 0.472700i −0.696693 0.717369i \(-0.745346\pi\)
0.969607 + 0.244669i \(0.0786794\pi\)
\(440\) 14.2298 0.227779i 0.678378 0.0108590i
\(441\) −6.49103 5.28848i −0.309097 0.251832i
\(442\) 20.0299 + 5.25263i 0.952727 + 0.249842i
\(443\) 8.75609 + 32.6782i 0.416014 + 1.55259i 0.782795 + 0.622280i \(0.213793\pi\)
−0.366781 + 0.930307i \(0.619540\pi\)
\(444\) −33.2597 22.4121i −1.57844 1.06363i
\(445\) −5.92153 + 22.0994i −0.280707 + 1.04761i
\(446\) −14.4433 8.23643i −0.683912 0.390006i
\(447\) −23.7354 1.90364i −1.12265 0.0900392i
\(448\) −7.74731 + 14.4694i −0.366026 + 0.683613i
\(449\) 10.7735i 0.508432i 0.967147 + 0.254216i \(0.0818174\pi\)
−0.967147 + 0.254216i \(0.918183\pi\)
\(450\) −14.5013 2.26182i −0.683596 0.106623i
\(451\) 9.94459 9.94459i 0.468273 0.468273i
\(452\) −26.5345 + 15.6996i −1.24808 + 0.738445i
\(453\) 5.80907 + 2.06686i 0.272934 + 0.0971094i
\(454\) −2.61390 + 0.715360i −0.122676 + 0.0335735i
\(455\) 26.0056 15.0143i 1.21916 0.703883i
\(456\) −18.6489 12.4224i −0.873313 0.581732i
\(457\) −6.74050 3.89163i −0.315307 0.182043i 0.333992 0.942576i \(-0.391604\pi\)
−0.649299 + 0.760533i \(0.724938\pi\)
\(458\) 4.14749 + 1.08763i 0.193799 + 0.0508217i
\(459\) 12.9260 7.84174i 0.603336 0.366021i
\(460\) 1.50325 + 5.37990i 0.0700892 + 0.250839i
\(461\) −6.48803 24.2137i −0.302178 1.12774i −0.935348 0.353730i \(-0.884913\pi\)
0.633170 0.774013i \(-0.281753\pi\)
\(462\) −0.648794 + 8.66961i −0.0301846 + 0.403347i
\(463\) 1.11241 0.642249i 0.0516980 0.0298479i −0.473928 0.880563i \(-0.657164\pi\)
0.525626 + 0.850716i \(0.323831\pi\)
\(464\) 6.43011 + 22.0998i 0.298510 + 1.02596i
\(465\) −42.0594 + 19.9843i −1.95046 + 0.926751i
\(466\) −31.5547 + 0.168355i −1.46174 + 0.00779889i
\(467\) −21.0842 21.0842i −0.975659 0.975659i 0.0240512 0.999711i \(-0.492344\pi\)
−0.999711 + 0.0240512i \(0.992344\pi\)
\(468\) 3.38691 + 30.0037i 0.156560 + 1.38692i
\(469\) 14.0677 14.0677i 0.649584 0.649584i
\(470\) 9.39827 + 9.29852i 0.433510 + 0.428909i
\(471\) 10.0644 + 0.807190i 0.463741 + 0.0371933i
\(472\) −23.5009 5.89557i −1.08172 0.271366i
\(473\) 3.03404 + 5.25511i 0.139505 + 0.241630i
\(474\) −1.08312 + 3.09642i −0.0497495 + 0.142223i
\(475\) 15.2834 4.09518i 0.701251 0.187900i
\(476\) 10.4024 + 5.85870i 0.476791 + 0.268533i
\(477\) −6.41491 2.87906i −0.293718 0.131823i
\(478\) −3.14971 5.38885i −0.144064 0.246480i
\(479\) 20.5401 35.5766i 0.938503 1.62553i 0.170238 0.985403i \(-0.445546\pi\)
0.768265 0.640132i \(-0.221120\pi\)
\(480\) 28.4567 + 1.51975i 1.29886 + 0.0693668i
\(481\) −29.1316 50.4574i −1.32829 2.30066i
\(482\) 9.69914 17.0083i 0.441784 0.774708i
\(483\) −3.35616 + 0.616851i −0.152711 + 0.0280677i
\(484\) 13.7826 8.15470i 0.626481 0.370668i
\(485\) 26.6891 + 26.6891i 1.21189 + 1.21189i
\(486\) 17.4613 + 13.4575i 0.792059 + 0.610444i
\(487\) −4.02337 −0.182316 −0.0911581 0.995836i \(-0.529057\pi\)
−0.0911581 + 0.995836i \(0.529057\pi\)
\(488\) −2.99181 + 0.853202i −0.135433 + 0.0386227i
\(489\) −23.9428 16.5080i −1.08273 0.746519i
\(490\) −11.0724 + 3.03024i −0.500199 + 0.136892i
\(491\) 28.9645 + 7.76101i 1.30715 + 0.350250i 0.844149 0.536108i \(-0.180106\pi\)
0.463000 + 0.886358i \(0.346773\pi\)
\(492\) 21.2452 18.4850i 0.957806 0.833369i
\(493\) 16.1715 4.33315i 0.728330 0.195155i
\(494\) −16.4261 28.1035i −0.739046 1.26444i
\(495\) 14.1084 5.36746i 0.634124 0.241249i
\(496\) 31.6187 19.1662i 1.41972 0.860586i
\(497\) 4.27890 + 2.47043i 0.191935 + 0.110814i
\(498\) 16.0557 + 33.3311i 0.719471 + 1.49360i
\(499\) 31.0161 + 8.31074i 1.38847 + 0.372040i 0.874191 0.485583i \(-0.161392\pi\)
0.514280 + 0.857622i \(0.328059\pi\)
\(500\) 6.26924 6.40448i 0.280369 0.286417i
\(501\) 6.09113 + 7.15337i 0.272132 + 0.319589i
\(502\) −7.68503 + 7.76748i −0.343000 + 0.346680i
\(503\) 31.7936i 1.41761i 0.705406 + 0.708803i \(0.250765\pi\)
−0.705406 + 0.708803i \(0.749235\pi\)
\(504\) −2.49915 + 17.2282i −0.111321 + 0.767404i
\(505\) 20.5999i 0.916682i
\(506\) −1.67012 1.65239i −0.0742458 0.0734577i
\(507\) −7.15589 + 20.1122i −0.317804 + 0.893215i
\(508\) 0.208175 + 19.5085i 0.00923627 + 0.865550i
\(509\) 34.0226 + 9.11633i 1.50803 + 0.404074i 0.915779 0.401683i \(-0.131575\pi\)
0.592246 + 0.805757i \(0.298241\pi\)
\(510\) 1.54693 20.6711i 0.0684992 0.915331i
\(511\) 0.556006 + 0.321010i 0.0245963 + 0.0142007i
\(512\) −22.6013 + 1.08610i −0.998847 + 0.0479991i
\(513\) −23.0850 5.65159i −1.01923 0.249524i
\(514\) −4.91955 + 2.87541i −0.216992 + 0.126829i
\(515\) −13.2492 + 3.55012i −0.583831 + 0.156437i
\(516\) 5.33145 + 10.9186i 0.234704 + 0.480663i
\(517\) −5.37107 1.43917i −0.236219 0.0632948i
\(518\) −8.86715 32.4002i −0.389600 1.42358i
\(519\) 24.9603 11.8598i 1.09563 0.520586i
\(520\) 36.1790 + 20.1228i 1.58655 + 0.882445i
\(521\) −11.5494 −0.505989 −0.252994 0.967468i \(-0.581415\pi\)
−0.252994 + 0.967468i \(0.581415\pi\)
\(522\) 14.3957 + 19.7163i 0.630082 + 0.862957i
\(523\) 2.36739 + 2.36739i 0.103519 + 0.103519i 0.756969 0.653451i \(-0.226679\pi\)
−0.653451 + 0.756969i \(0.726679\pi\)
\(524\) 5.72498 22.3157i 0.250097 0.974867i
\(525\) −7.96947 9.35929i −0.347816 0.408473i
\(526\) 1.95827 + 1.11672i 0.0853848 + 0.0486914i
\(527\) −13.4475 23.2917i −0.585782 1.01460i
\(528\) −10.7135 + 5.37366i −0.466247 + 0.233859i
\(529\) −11.0389 + 19.1200i −0.479953 + 0.831303i
\(530\) −8.32310 + 4.86473i −0.361532 + 0.211311i
\(531\) −25.5660 + 2.61000i −1.10947 + 0.113264i
\(532\) −5.05062 18.0754i −0.218972 0.783669i
\(533\) 39.5165 10.5884i 1.71165 0.458635i
\(534\) −3.58418 18.9321i −0.155103 0.819273i
\(535\) 17.0289 + 29.4949i 0.736222 + 1.27517i
\(536\) 26.6032 + 6.67383i 1.14908 + 0.288265i
\(537\) −13.7546 + 19.9492i −0.593553 + 0.860872i
\(538\) −10.4045 + 10.5161i −0.448568 + 0.453381i
\(539\) 3.41404 3.41404i 0.147053 0.147053i
\(540\) 28.9274 8.76401i 1.24484 0.377143i
\(541\) −20.9332 20.9332i −0.899989 0.899989i 0.0954454 0.995435i \(-0.469572\pi\)
−0.995435 + 0.0954454i \(0.969572\pi\)
\(542\) −0.0718524 13.4673i −0.00308633 0.578469i
\(543\) 25.1635 + 17.3497i 1.07987 + 0.744546i
\(544\) 0.439020 + 16.4533i 0.0188228 + 0.705430i
\(545\) −14.7501 + 8.51600i −0.631827 + 0.364785i
\(546\) −14.2441 + 20.8968i −0.609589 + 0.894303i
\(547\) 9.19026 + 34.2985i 0.392947 + 1.46650i 0.825248 + 0.564770i \(0.191035\pi\)
−0.432301 + 0.901729i \(0.642298\pi\)
\(548\) −8.24114 + 14.6325i −0.352044 + 0.625068i
\(549\) −2.67537 + 1.93160i −0.114182 + 0.0824389i
\(550\) 2.14684 8.18659i 0.0915417 0.349078i
\(551\) −22.7926 13.1593i −0.970995 0.560604i
\(552\) −3.10688 3.53255i −0.132237 0.150355i
\(553\) −2.37944 + 1.37377i −0.101184 + 0.0584188i
\(554\) −4.82465 17.6291i −0.204980 0.748988i
\(555\) −44.4065 + 37.8124i −1.88495 + 1.60504i
\(556\) −5.03254 + 19.6166i −0.213427 + 0.831930i
\(557\) 11.1853 11.1853i 0.473937 0.473937i −0.429249 0.903186i \(-0.641222\pi\)
0.903186 + 0.429249i \(0.141222\pi\)
\(558\) 24.6083 30.5353i 1.04175 1.29266i
\(559\) 17.6516i 0.746583i
\(560\) 17.2338 + 16.5135i 0.728261 + 0.697822i
\(561\) 3.74161 + 7.87466i 0.157971 + 0.332468i
\(562\) −4.51537 + 7.91812i −0.190469 + 0.334006i
\(563\) 1.24311 4.63936i 0.0523910 0.195526i −0.934770 0.355253i \(-0.884395\pi\)
0.987161 + 0.159727i \(0.0510614\pi\)
\(564\) −10.5294 3.62024i −0.443368 0.152440i
\(565\) 11.6044 + 43.3082i 0.488200 + 1.82199i
\(566\) −6.26030 + 23.8725i −0.263140 + 1.00344i
\(567\) 3.73116 + 18.0836i 0.156694 + 0.759440i
\(568\) 0.109022 + 6.81077i 0.00457444 + 0.285773i
\(569\) −5.74273 + 9.94671i −0.240748 + 0.416988i −0.960928 0.276800i \(-0.910726\pi\)
0.720180 + 0.693788i \(0.244059\pi\)
\(570\) −24.6970 + 21.2580i −1.03445 + 0.890399i
\(571\) 1.33767 4.99227i 0.0559799 0.208920i −0.932271 0.361761i \(-0.882176\pi\)
0.988251 + 0.152841i \(0.0488423\pi\)
\(572\) −17.4109 + 0.185791i −0.727985 + 0.00776831i
\(573\) 8.75945 + 3.11660i 0.365931 + 0.130198i
\(574\) 23.5866 0.125842i 0.984484 0.00525256i
\(575\) 3.32193 0.138534
\(576\) −22.1469 + 9.24753i −0.922786 + 0.385314i
\(577\) −25.5971 −1.06562 −0.532810 0.846235i \(-0.678864\pi\)
−0.532810 + 0.846235i \(0.678864\pi\)
\(578\) −12.0691 + 0.0643925i −0.502007 + 0.00267838i
\(579\) −7.06627 + 6.01696i −0.293664 + 0.250056i
\(580\) 33.4693 0.357151i 1.38974 0.0148299i
\(581\) −8.02005 + 29.9312i −0.332728 + 1.24176i
\(582\) −30.0048 10.4957i −1.24374 0.435059i
\(583\) 2.02735 3.51148i 0.0839644 0.145431i
\(584\) 0.0141664 + 0.885000i 0.000586209 + 0.0366215i
\(585\) 43.3486 + 6.99837i 1.79224 + 0.289347i
\(586\) 2.42731 9.25609i 0.100271 0.382365i
\(587\) −0.719512 2.68525i −0.0296974 0.110832i 0.949486 0.313809i \(-0.101605\pi\)
−0.979184 + 0.202977i \(0.934938\pi\)
\(588\) 7.29360 6.34602i 0.300783 0.261706i
\(589\) −10.9426 + 40.8385i −0.450883 + 1.68272i
\(590\) −17.4545 + 30.6080i −0.718589 + 1.26011i
\(591\) 12.0541 17.4830i 0.495841 0.719153i
\(592\) 32.0403 33.4379i 1.31685 1.37429i
\(593\) 0.335583i 0.0137807i 0.999976 + 0.00689036i \(0.00219329\pi\)
−0.999976 + 0.00689036i \(0.997807\pi\)
\(594\) −8.74292 + 9.22900i −0.358726 + 0.378670i
\(595\) 12.2767 12.2767i 0.503295 0.503295i
\(596\) 6.83251 26.6328i 0.279870 1.09092i
\(597\) −3.23871 17.6212i −0.132552 0.721186i
\(598\) −1.80402 6.59183i −0.0737720 0.269560i
\(599\) −3.98883 + 2.30295i −0.162979 + 0.0940961i −0.579271 0.815135i \(-0.696663\pi\)
0.416292 + 0.909231i \(0.363329\pi\)
\(600\) 5.42460 16.0554i 0.221458 0.655460i
\(601\) 29.9967 + 17.3186i 1.22359 + 0.706440i 0.965682 0.259729i \(-0.0836331\pi\)
0.257909 + 0.966169i \(0.416966\pi\)
\(602\) −2.58152 + 9.84416i −0.105215 + 0.401218i
\(603\) 28.9408 2.95454i 1.17856 0.120318i
\(604\) −3.49384 + 6.20344i −0.142162 + 0.252415i
\(605\) −6.02757 22.4952i −0.245056 0.914560i
\(606\) −7.52904 15.6301i −0.305846 0.634928i
\(607\) −18.3567 + 10.5982i −0.745074 + 0.430169i −0.823911 0.566719i \(-0.808213\pi\)
0.0788371 + 0.996888i \(0.474879\pi\)
\(608\) 17.8011 18.7771i 0.721931 0.761514i
\(609\) −1.63466 + 20.3816i −0.0662398 + 0.825904i
\(610\) 0.0241382 + 4.52422i 0.000977328 + 0.183180i
\(611\) −11.4376 11.4376i −0.462715 0.462715i
\(612\) 6.38134 + 16.2495i 0.257951 + 0.656847i
\(613\) 15.1548 15.1548i 0.612098 0.612098i −0.331394 0.943492i \(-0.607519\pi\)
0.943492 + 0.331394i \(0.107519\pi\)
\(614\) −6.79475 + 6.86765i −0.274214 + 0.277156i
\(615\) −17.5757 36.9901i −0.708720 1.49158i
\(616\) −9.73707 2.44270i −0.392318 0.0984192i
\(617\) −2.56785 4.44764i −0.103378 0.179055i 0.809697 0.586849i \(-0.199632\pi\)
−0.913074 + 0.407793i \(0.866298\pi\)
\(618\) 8.75527 7.53610i 0.352189 0.303146i
\(619\) 36.3415 9.73767i 1.46069 0.391390i 0.560961 0.827842i \(-0.310432\pi\)
0.899727 + 0.436452i \(0.143765\pi\)
\(620\) −14.4699 51.7858i −0.581127 2.07977i
\(621\) −4.37442 2.40052i −0.175539 0.0963297i
\(622\) 0.0565502 0.0330528i 0.00226746 0.00132530i
\(623\) 8.06929 13.9764i 0.323289 0.559954i
\(624\) −34.8053 2.04508i −1.39333 0.0818689i
\(625\) −15.1649 26.2663i −0.606595 1.05065i
\(626\) −0.778115 0.443727i −0.0310997 0.0177349i
\(627\) 4.59420 12.9124i 0.183475 0.515671i
\(628\) −2.89714 + 11.2929i −0.115609 + 0.450637i
\(629\) −23.8198 23.8198i −0.949760 0.949760i
\(630\) 23.1517 + 10.2426i 0.922385 + 0.408075i
\(631\) −30.8454 −1.22794 −0.613969 0.789330i \(-0.710428\pi\)
−0.613969 + 0.789330i \(0.710428\pi\)
\(632\) −3.31028 1.84119i −0.131676 0.0732385i
\(633\) −3.29304 + 41.0589i −0.130886 + 1.63194i
\(634\) −4.23495 15.4743i −0.168191 0.614565i
\(635\) 27.4050 + 7.34315i 1.08753 + 0.291404i
\(636\) 4.53711 6.73310i 0.179908 0.266985i
\(637\) 13.5662 3.63507i 0.537514 0.144027i
\(638\) −12.1539 + 7.10378i −0.481177 + 0.281241i
\(639\) 2.56902 + 6.75266i 0.101629 + 0.267131i
\(640\) −7.32392 + 32.0804i −0.289504 + 1.26809i
\(641\) 3.40556 + 1.96620i 0.134512 + 0.0776603i 0.565746 0.824580i \(-0.308588\pi\)
−0.431234 + 0.902240i \(0.641922\pi\)
\(642\) −23.7007 16.1552i −0.935391 0.637596i
\(643\) 6.13231 + 1.64315i 0.241835 + 0.0647994i 0.377700 0.925928i \(-0.376715\pi\)
−0.135866 + 0.990727i \(0.543382\pi\)
\(644\) −0.0420442 3.94005i −0.00165677 0.155260i
\(645\) 17.3790 3.19419i 0.684296 0.125771i
\(646\) −13.3791 13.2371i −0.526392 0.520805i
\(647\) 29.0686i 1.14280i 0.820670 + 0.571402i \(0.193600\pi\)
−0.820670 + 0.571402i \(0.806400\pi\)
\(648\) −18.7454 + 17.2223i −0.736390 + 0.676557i
\(649\) 14.8195i 0.581717i
\(650\) 17.3154 17.5012i 0.679167 0.686453i
\(651\) 32.3057 5.93768i 1.26616 0.232716i
\(652\) 23.4907 23.9975i 0.919968 0.939814i
\(653\) −47.3742 12.6939i −1.85390 0.496750i −0.854168 0.519998i \(-0.825933\pi\)
−0.999730 + 0.0232472i \(0.992600\pi\)
\(654\) 8.07910 11.8525i 0.315918 0.463470i
\(655\) −29.0148 16.7517i −1.13370 0.654543i
\(656\) 16.8561 + 27.8078i 0.658121 + 1.08571i
\(657\) 0.333821 + 0.877449i 0.0130236 + 0.0342325i
\(658\) −4.70592 8.05139i −0.183456 0.313876i
\(659\) 1.60230 0.429334i 0.0624166 0.0167245i −0.227476 0.973784i \(-0.573047\pi\)
0.289892 + 0.957059i \(0.406381\pi\)
\(660\) 3.33355 + 17.1083i 0.129758 + 0.665941i
\(661\) 38.9352 + 10.4327i 1.51440 + 0.405783i 0.917895 0.396824i \(-0.129888\pi\)
0.596508 + 0.802607i \(0.296554\pi\)
\(662\) 25.5303 6.98704i 0.992265 0.271559i
\(663\) −2.02752 + 25.2799i −0.0787422 + 0.981789i
\(664\) −41.0820 + 11.7158i −1.59429 + 0.454660i
\(665\) −27.2929 −1.05837
\(666\) 19.8733 44.9201i 0.770073 1.74062i
\(667\) −3.90715 3.90715i −0.151286 0.151286i
\(668\) −9.33694 + 5.52435i −0.361257 + 0.213744i
\(669\) 6.82611 19.1853i 0.263913 0.741748i
\(670\) 19.7586 34.6485i 0.763340 1.33859i
\(671\) −0.951434 1.64793i −0.0367297 0.0636177i
\(672\) −19.1116 6.23076i −0.737245 0.240357i
\(673\) 16.4569 28.5042i 0.634366 1.09875i −0.352283 0.935894i \(-0.614595\pi\)
0.986649 0.162861i \(-0.0520722\pi\)
\(674\) −21.1474 36.1812i −0.814567 1.39365i
\(675\) −0.390119 17.9708i −0.0150157 0.691698i
\(676\) −21.4776 12.0964i −0.826062 0.465246i
\(677\) −44.2173 + 11.8480i −1.69941 + 0.455355i −0.972790 0.231687i \(-0.925575\pi\)
−0.726617 + 0.687042i \(0.758909\pi\)
\(678\) −24.6335 28.6186i −0.946042 1.09909i
\(679\) −13.3121 23.0573i −0.510872 0.884856i
\(680\) 23.2163 + 5.82417i 0.890303 + 0.223347i
\(681\) −1.42443 2.99788i −0.0545843 0.114879i
\(682\) 16.0762 + 15.9056i 0.615590 + 0.609056i
\(683\) −13.5540 + 13.5540i −0.518630 + 0.518630i −0.917157 0.398527i \(-0.869522\pi\)
0.398527 + 0.917157i \(0.369522\pi\)
\(684\) 10.9692 25.1559i 0.419418 0.961861i
\(685\) 17.2690 + 17.2690i 0.659813 + 0.659813i
\(686\) 28.4071 0.151561i 1.08459 0.00578663i
\(687\) −0.419826 + 5.23456i −0.0160174 + 0.199711i
\(688\) −13.4718 + 3.91971i −0.513606 + 0.149438i
\(689\) 10.2146 5.89742i 0.389146 0.224674i
\(690\) −6.16357 + 2.96900i −0.234643 + 0.113028i
\(691\) 12.9864 + 48.4658i 0.494025 + 1.84373i 0.535425 + 0.844583i \(0.320151\pi\)
−0.0414008 + 0.999143i \(0.513182\pi\)
\(692\) 8.58724 + 30.7325i 0.326438 + 1.16827i
\(693\) −10.5927 + 1.08140i −0.402383 + 0.0410789i
\(694\) 17.4447 + 4.57467i 0.662190 + 0.173652i
\(695\) 25.5055 + 14.7256i 0.967477 + 0.558573i
\(696\) −25.2642 + 12.5037i −0.957637 + 0.473951i
\(697\) 20.4845 11.8267i 0.775904 0.447968i
\(698\) 5.20106 1.42341i 0.196863 0.0538767i
\(699\) −6.98616 38.0103i −0.264241 1.43768i
\(700\) 12.2162 7.22792i 0.461729 0.273190i
\(701\) 3.21893 3.21893i 0.121577 0.121577i −0.643700 0.765278i \(-0.722602\pi\)
0.765278 + 0.643700i \(0.222602\pi\)
\(702\) −35.4484 + 10.5335i −1.33791 + 0.397561i
\(703\) 52.9552i 1.99724i
\(704\) −4.00805 13.2468i −0.151059 0.499256i
\(705\) −9.19122 + 13.3307i −0.346161 + 0.502062i
\(706\) −7.26584 4.14341i −0.273453 0.155939i
\(707\) 3.76087 14.0358i 0.141442 0.527869i
\(708\) 2.05660 29.6031i 0.0772917 1.11255i
\(709\) 0.104383 + 0.389561i 0.00392017 + 0.0146303i 0.967858 0.251496i \(-0.0809227\pi\)
−0.963938 + 0.266127i \(0.914256\pi\)
\(710\) 9.58180 + 2.51272i 0.359599 + 0.0943007i
\(711\) −3.96628 0.640333i −0.148747 0.0240143i
\(712\) 22.2464 0.356103i 0.833719 0.0133455i
\(713\) −4.43822 + 7.68722i −0.166213 + 0.287889i
\(714\) −4.82788 + 13.8019i −0.180679 + 0.516522i
\(715\) −6.55358 + 24.4583i −0.245090 + 0.914688i
\(716\) −19.9948 19.5726i −0.747241 0.731462i
\(717\) 5.82043 4.95612i 0.217368 0.185090i
\(718\) 0.229032 + 42.9273i 0.00854739 + 1.60203i
\(719\) 4.42409 0.164991 0.0824953 0.996591i \(-0.473711\pi\)
0.0824953 + 0.996591i \(0.473711\pi\)
\(720\) 4.28480 + 34.6378i 0.159685 + 1.29088i
\(721\) 9.67554 0.360336
\(722\) 0.0144918 + 2.71619i 0.000539329 + 0.101086i
\(723\) 22.5925 + 8.03836i 0.840223 + 0.298950i
\(724\) −24.6884 + 25.2210i −0.917537 + 0.937330i
\(725\) 5.15181 19.2268i 0.191333 0.714066i
\(726\) 12.7952 + 14.8651i 0.474873 + 0.551697i
\(727\) 24.1060 41.7529i 0.894044 1.54853i 0.0590597 0.998254i \(-0.481190\pi\)
0.834984 0.550274i \(-0.185477\pi\)
\(728\) −20.9768 20.3159i −0.777453 0.752956i
\(729\) −12.4726 + 23.9465i −0.461947 + 0.886908i
\(730\) 1.24507 + 0.326506i 0.0460821 + 0.0120845i
\(731\) 2.64143 + 9.85796i 0.0976969 + 0.364610i
\(732\) −1.67187 3.42391i −0.0617941 0.126551i
\(733\) −11.3124 + 42.2183i −0.417831 + 1.55937i 0.361265 + 0.932463i \(0.382345\pi\)
−0.779096 + 0.626904i \(0.784322\pi\)
\(734\) 34.7086 + 19.7928i 1.28112 + 0.730567i
\(735\) −6.03384 12.6989i −0.222562 0.468407i
\(736\) 4.63030 2.84062i 0.170675 0.104707i
\(737\) 16.7758i 0.617944i
\(738\) 26.8550 + 21.6423i 0.988545 + 0.796666i
\(739\) −4.26794 + 4.26794i −0.156999 + 0.156999i −0.781235 0.624237i \(-0.785410\pi\)
0.624237 + 0.781235i \(0.285410\pi\)
\(740\) −34.2939 57.9616i −1.26067 2.13071i
\(741\) 30.3543 25.8468i 1.11509 0.949506i
\(742\) 6.55911 1.79507i 0.240792 0.0658990i
\(743\) −10.5668 + 6.10073i −0.387657 + 0.223814i −0.681145 0.732149i \(-0.738518\pi\)
0.293487 + 0.955963i \(0.405184\pi\)
\(744\) 29.9062 + 34.0037i 1.09641 + 1.24663i
\(745\) −34.6279 19.9924i −1.26867 0.732466i
\(746\) −2.00956 0.526986i −0.0735754 0.0192943i
\(747\) −36.7369 + 26.5239i −1.34413 + 0.970457i
\(748\) −9.69572 + 2.70917i −0.354510 + 0.0990570i
\(749\) −6.21785 23.2053i −0.227195 0.847904i
\(750\) 9.06976 + 6.18228i 0.331181 + 0.225745i
\(751\) 12.1070 6.99000i 0.441792 0.255069i −0.262566 0.964914i \(-0.584569\pi\)
0.704357 + 0.709846i \(0.251235\pi\)
\(752\) 6.18938 11.2690i 0.225703 0.410940i
\(753\) −11.0175 7.59635i −0.401501 0.276826i
\(754\) −40.9503 + 0.218484i −1.49132 + 0.00795671i
\(755\) 7.32119 + 7.32119i 0.266445 + 0.266445i
\(756\) −21.3098 + 0.690159i −0.775030 + 0.0251008i
\(757\) −0.365397 + 0.365397i −0.0132806 + 0.0132806i −0.713716 0.700435i \(-0.752989\pi\)
0.700435 + 0.713716i \(0.252989\pi\)
\(758\) −1.51457 1.49849i −0.0550116 0.0544277i
\(759\) 1.63332 2.36892i 0.0592859 0.0859864i
\(760\) −19.3327 32.2807i −0.701269 1.17094i
\(761\) −2.63786 4.56890i −0.0956222 0.165623i 0.814246 0.580520i \(-0.197151\pi\)
−0.909868 + 0.414898i \(0.863817\pi\)
\(762\) −23.4773 + 4.44466i −0.850492 + 0.161013i
\(763\) 11.6048 3.10949i 0.420122 0.112571i
\(764\) −5.26833 + 9.35412i −0.190602 + 0.338420i
\(765\) 25.2563 2.57839i 0.913145 0.0932220i
\(766\) −14.1319 24.1783i −0.510606 0.873598i
\(767\) 21.5544 37.3333i 0.778285 1.34803i
\(768\) −6.16805 27.0177i −0.222570 0.974917i
\(769\) 18.6972 + 32.3845i 0.674238 + 1.16781i 0.976691 + 0.214650i \(0.0688610\pi\)
−0.302453 + 0.953164i \(0.597806\pi\)
\(770\) −7.23187 + 12.6817i −0.260619 + 0.457018i
\(771\) −4.52450 5.31354i −0.162946 0.191363i
\(772\) −5.45708 9.22325i −0.196405 0.331952i
\(773\) −26.3255 26.3255i −0.946864 0.946864i