Properties

Label 144.2.u.a.11.8
Level $144$
Weight $2$
Character 144.11
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 11.8
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.700562 - 1.22850i) q^{2} +(1.70352 - 0.313101i) q^{3} +(-1.01842 + 1.72128i) q^{4} +(2.80938 + 0.752772i) q^{5} +(-1.57806 - 1.87342i) q^{6} +(-1.02581 + 1.77675i) q^{7} +(2.82806 + 0.0452695i) q^{8} +(2.80394 - 1.06674i) q^{9} +O(q^{10})\) \(q+(-0.700562 - 1.22850i) q^{2} +(1.70352 - 0.313101i) q^{3} +(-1.01842 + 1.72128i) q^{4} +(2.80938 + 0.752772i) q^{5} +(-1.57806 - 1.87342i) 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} +(-1.67103 + 0.447752i) q^{11} +(-1.19597 + 3.25110i) q^{12} +(-4.86091 - 1.30248i) q^{13} +(2.90138 + 0.0154798i) q^{14} +(5.02153 + 0.402740i) q^{15} +(-1.92562 - 3.50599i) q^{16} -2.90960i q^{17} +(-3.27483 - 2.69732i) q^{18} +(-3.23424 - 3.23424i) q^{19} +(-4.15688 + 4.06910i) q^{20} +(-1.19118 + 3.34790i) q^{21} +(1.72073 + 1.73919i) q^{22} +(-0.831633 + 0.480143i) q^{23} +(4.83183 - 0.808351i) q^{24} +(2.99585 + 1.72965i) q^{25} +(1.80528 + 6.88409i) q^{26} +(4.44255 - 2.69513i) q^{27} +(-2.01358 - 3.57519i) q^{28} +(5.55800 - 1.48926i) q^{29} +(-3.02313 - 6.45109i) q^{30} +(-8.00513 + 4.62177i) q^{31} +(-2.95809 + 4.82179i) q^{32} +(-2.70644 + 1.28595i) q^{33} +(-3.57444 + 2.03836i) q^{34} +(-4.21937 + 4.21937i) q^{35} +(-1.01943 + 5.91276i) q^{36} +(8.18664 + 8.18664i) q^{37} +(-1.70748 + 6.23906i) q^{38} +(-8.68844 - 0.696837i) q^{39} +(7.91104 + 2.25607i) q^{40} +(-4.06472 - 7.04030i) q^{41} +(4.94739 - 0.882052i) q^{42} +(0.907834 + 3.38808i) q^{43} +(0.931114 - 3.33232i) q^{44} +(8.68035 - 0.886168i) q^{45} +(1.17247 + 0.685290i) q^{46} +(-1.60711 + 2.78360i) q^{47} +(-4.37806 - 5.36960i) q^{48} +(1.39544 + 2.41698i) q^{49} +(0.0261012 - 4.89213i) q^{50} +(-0.910997 - 4.95655i) q^{51} +(7.19240 - 7.04052i) q^{52} +(-1.65731 + 1.65731i) q^{53} +(-6.42325 - 3.56957i) q^{54} -5.03163 q^{55} +(-2.98148 + 4.97832i) q^{56} +(-6.52223 - 4.49694i) q^{57} +(-5.72328 - 5.78468i) q^{58} +(2.21712 - 8.27439i) q^{59} +(-5.80727 + 8.23330i) q^{60} +(-0.284684 - 1.06246i) 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} +(3.47583 + 2.42397i) q^{66} +(2.50979 - 9.36667i) q^{67} +(5.00824 + 2.96321i) q^{68} +(-1.26637 + 1.07832i) q^{69} +(8.13943 + 2.22756i) q^{70} -2.40828i q^{71} +(7.97800 - 2.88989i) q^{72} +0.312935i q^{73} +(4.32204 - 15.7925i) q^{74} +(5.64503 + 2.00849i) q^{75} +(8.86088 - 2.27321i) q^{76} +(0.918613 - 3.42831i) q^{77} +(5.23073 + 11.1619i) 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} +(3.90915 + 14.5891i) q^{83} +(-4.54956 - 5.45994i) q^{84} +(2.19027 - 8.17418i) q^{85} +(3.52627 - 3.48884i) q^{86} +(9.00185 - 4.27719i) q^{87} +(-4.74606 + 1.19062i) q^{88} +7.86629 q^{89} +(-7.16978 - 10.0430i) q^{90} +(7.30052 - 7.30052i) q^{91} +(0.0204932 - 1.92046i) q^{92} +(-12.1898 + 10.3797i) q^{93} +(4.54553 + 0.0242520i) q^{94} +(-6.65158 - 11.5209i) q^{95} +(-3.52945 + 9.14018i) q^{96} +(-6.48861 + 11.2386i) q^{97} +(1.99166 - 3.40755i) q^{98} +(-4.20783 + 3.03803i) 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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.700562 1.22850i −0.495372 0.868681i
\(3\) 1.70352 0.313101i 0.983526 0.180769i
\(4\) −1.01842 + 1.72128i −0.509212 + 0.860641i
\(5\) 2.80938 + 0.752772i 1.25639 + 0.336650i 0.824804 0.565419i \(-0.191286\pi\)
0.431591 + 0.902069i \(0.357952\pi\)
\(6\) −1.57806 1.87342i −0.644242 0.764822i
\(7\) −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
\(11\) −1.67103 + 0.447752i −0.503835 + 0.135002i −0.501779 0.864996i \(-0.667321\pi\)
−0.00205598 + 0.999998i \(0.500654\pi\)
\(12\) −1.19597 + 3.25110i −0.345246 + 0.938512i
\(13\) −4.86091 1.30248i −1.34817 0.361242i −0.488713 0.872445i \(-0.662534\pi\)
−0.859460 + 0.511203i \(0.829200\pi\)
\(14\) 2.90138 + 0.0154798i 0.775425 + 0.00413716i
\(15\) 5.02153 + 0.402740i 1.29655 + 0.103987i
\(16\) −1.92562 3.50599i −0.481406 0.876498i
\(17\) 2.90960i 0.705681i −0.935683 0.352841i \(-0.885216\pi\)
0.935683 0.352841i \(-0.114784\pi\)
\(18\) −3.27483 2.69732i −0.771884 0.635763i
\(19\) −3.23424 3.23424i −0.741986 0.741986i 0.230974 0.972960i \(-0.425809\pi\)
−0.972960 + 0.230974i \(0.925809\pi\)
\(20\) −4.15688 + 4.06910i −0.929507 + 0.909878i
\(21\) −1.19118 + 3.34790i −0.259936 + 0.730572i
\(22\) 1.72073 + 1.73919i 0.366860 + 0.370796i
\(23\) −0.831633 + 0.480143i −0.173407 + 0.100117i −0.584192 0.811616i \(-0.698588\pi\)
0.410784 + 0.911733i \(0.365255\pi\)
\(24\) 4.83183 0.808351i 0.986293 0.165004i
\(25\) 2.99585 + 1.72965i 0.599169 + 0.345931i
\(26\) 1.80528 + 6.88409i 0.354044 + 1.35008i
\(27\) 4.44255 2.69513i 0.854970 0.518678i
\(28\) −2.01358 3.57519i −0.380531 0.675647i
\(29\) 5.55800 1.48926i 1.03209 0.276549i 0.297261 0.954796i \(-0.403927\pi\)
0.734834 + 0.678248i \(0.237260\pi\)
\(30\) −3.02313 6.45109i −0.551945 1.17780i
\(31\) −8.00513 + 4.62177i −1.43776 + 0.830094i −0.997694 0.0678697i \(-0.978380\pi\)
−0.440070 + 0.897963i \(0.645046\pi\)
\(32\) −2.95809 + 4.82179i −0.522922 + 0.852381i
\(33\) −2.70644 + 1.28595i −0.471131 + 0.223856i
\(34\) −3.57444 + 2.03836i −0.613012 + 0.349575i
\(35\) −4.21937 + 4.21937i −0.713204 + 0.713204i
\(36\) −1.01943 + 5.91276i −0.169905 + 0.985460i
\(37\) 8.18664 + 8.18664i 1.34588 + 1.34588i 0.890089 + 0.455787i \(0.150642\pi\)
0.455787 + 0.890089i \(0.349358\pi\)
\(38\) −1.70748 + 6.23906i −0.276990 + 1.01211i
\(39\) −8.68844 0.696837i −1.39126 0.111583i
\(40\) 7.91104 + 2.25607i 1.25085 + 0.356716i
\(41\) −4.06472 7.04030i −0.634803 1.09951i −0.986557 0.163418i \(-0.947748\pi\)
0.351754 0.936092i \(-0.385585\pi\)
\(42\) 4.94739 0.882052i 0.763399 0.136104i
\(43\) 0.907834 + 3.38808i 0.138443 + 0.516678i 0.999960 + 0.00894834i \(0.00284838\pi\)
−0.861517 + 0.507729i \(0.830485\pi\)
\(44\) 0.931114 3.33232i 0.140371 0.502366i
\(45\) 8.68035 0.886168i 1.29399 0.132102i
\(46\) 1.17247 + 0.685290i 0.172871 + 0.101041i
\(47\) −1.60711 + 2.78360i −0.234421 + 0.406030i −0.959104 0.283053i \(-0.908653\pi\)
0.724683 + 0.689082i \(0.241986\pi\)
\(48\) −4.37806 5.36960i −0.631918 0.775035i
\(49\) 1.39544 + 2.41698i 0.199349 + 0.345283i
\(50\) 0.0261012 4.89213i 0.00369126 0.691851i
\(51\) −0.910997 4.95655i −0.127565 0.694056i
\(52\) 7.19240 7.04052i 0.997406 0.976344i
\(53\) −1.65731 + 1.65731i −0.227649 + 0.227649i −0.811710 0.584061i \(-0.801463\pi\)
0.584061 + 0.811710i \(0.301463\pi\)
\(54\) −6.42325 3.56957i −0.874094 0.485757i
\(55\) −5.03163 −0.678465
\(56\) −2.98148 + 4.97832i −0.398417 + 0.665256i
\(57\) −6.52223 4.49694i −0.863891 0.595635i
\(58\) −5.72328 5.78468i −0.751504 0.759566i
\(59\) 2.21712 8.27439i 0.288644 1.07723i −0.657491 0.753462i \(-0.728382\pi\)
0.946135 0.323772i \(-0.104951\pi\)
\(60\) −5.80727 + 8.23330i −0.749716 + 1.06291i
\(61\) −0.284684 1.06246i −0.0364501 0.136034i 0.945303 0.326193i \(-0.105766\pi\)
−0.981753 + 0.190160i \(0.939099\pi\)
\(62\) 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
\(66\) 3.47583 + 2.42397i 0.427845 + 0.298370i
\(67\) 2.50979 9.36667i 0.306620 1.14432i −0.624922 0.780687i \(-0.714869\pi\)
0.931542 0.363634i \(-0.118464\pi\)
\(68\) 5.00824 + 2.96321i 0.607338 + 0.359342i
\(69\) −1.26637 + 1.07832i −0.152453 + 0.129814i
\(70\) 8.13943 + 2.22756i 0.972848 + 0.266245i
\(71\) 2.40828i 0.285810i −0.989736 0.142905i \(-0.954356\pi\)
0.989736 0.142905i \(-0.0456444\pi\)
\(72\) 7.97800 2.88989i 0.940217 0.340577i
\(73\) 0.312935i 0.0366262i 0.999832 + 0.0183131i \(0.00582957\pi\)
−0.999832 + 0.0183131i \(0.994170\pi\)
\(74\) 4.32204 15.7925i 0.502427 1.83585i
\(75\) 5.64503 + 2.00849i 0.651832 + 0.231921i
\(76\) 8.86088 2.27321i 1.01641 0.260755i
\(77\) 0.918613 3.42831i 0.104686 0.390692i
\(78\) 5.23073 + 11.1619i 0.592264 + 1.26384i
\(79\) −1.15979 0.669606i −0.130487 0.0753366i 0.433336 0.901233i \(-0.357336\pi\)
−0.563823 + 0.825896i \(0.690670\pi\)
\(80\) −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
\(83\) 3.90915 + 14.5891i 0.429085 + 1.60137i 0.754839 + 0.655911i \(0.227715\pi\)
−0.325754 + 0.945455i \(0.605618\pi\)
\(84\) −4.54956 5.45994i −0.496397 0.595728i
\(85\) 2.19027 8.17418i 0.237568 0.886614i
\(86\) 3.52627 3.48884i 0.380247 0.376211i
\(87\) 9.00185 4.27719i 0.965100 0.458563i
\(88\) −4.74606 + 1.19062i −0.505932 + 0.126921i
\(89\) 7.86629 0.833826 0.416913 0.908947i \(-0.363112\pi\)
0.416913 + 0.908947i \(0.363112\pi\)
\(90\) −7.16978 10.0430i −0.755761 1.05862i
\(91\) 7.30052 7.30052i 0.765303 0.765303i
\(92\) 0.0204932 1.92046i 0.00213657 0.200222i
\(93\) −12.1898 + 10.3797i −1.26402 + 1.07632i
\(94\) 4.54553 + 0.0242520i 0.468836 + 0.00250140i
\(95\) −6.65158 11.5209i −0.682438 1.18202i
\(96\) −3.52945 + 9.14018i −0.360223 + 0.932866i
\(97\) −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
\(99\) −4.20783 + 3.03803i −0.422903 + 0.305334i
\(100\) −6.02826 + 3.39518i −0.602826 + 0.339518i
\(101\) −1.83313 6.84133i −0.182403 0.680738i −0.995172 0.0981510i \(-0.968707\pi\)
0.812768 0.582587i \(-0.197959\pi\)
\(102\) −5.45091 + 4.59153i −0.539721 + 0.454629i
\(103\) −2.35803 4.08423i −0.232344 0.402431i 0.726154 0.687533i \(-0.241306\pi\)
−0.958497 + 0.285101i \(0.907973\pi\)
\(104\) −13.6880 3.90354i −1.34222 0.382773i
\(105\) −5.86668 + 8.50885i −0.572529 + 0.830379i
\(106\) 3.19705 + 0.874955i 0.310525 + 0.0849831i
\(107\) 8.28006 + 8.28006i 0.800464 + 0.800464i 0.983168 0.182704i \(-0.0584850\pi\)
−0.182704 + 0.983168i \(0.558485\pi\)
\(108\) 0.114671 + 10.3917i 0.0110342 + 0.999939i
\(109\) −4.14079 + 4.14079i −0.396616 + 0.396616i −0.877038 0.480422i \(-0.840484\pi\)
0.480422 + 0.877038i \(0.340484\pi\)
\(110\) 3.52497 + 6.18136i 0.336093 + 0.589369i
\(111\) 16.5093 + 11.3828i 1.56700 + 1.08041i
\(112\) 8.20458 + 0.175122i 0.775260 + 0.0165475i
\(113\) −13.3502 + 7.70777i −1.25589 + 0.725086i −0.972272 0.233853i \(-0.924866\pi\)
−0.283613 + 0.958939i \(0.591533\pi\)
\(114\) −0.955266 + 11.1629i −0.0894689 + 1.04551i
\(115\) −2.69781 + 0.722877i −0.251573 + 0.0674086i
\(116\) −3.09696 + 11.0836i −0.287546 + 1.02908i
\(117\) −15.0191 + 1.53328i −1.38851 + 0.141752i
\(118\) −11.7183 + 3.07300i −1.07876 + 0.282893i
\(119\) 5.16962 + 2.98468i 0.473899 + 0.273606i
\(120\) 14.1830 + 1.36630i 1.29472 + 0.124725i
\(121\) −6.93441 + 4.00358i −0.630401 + 0.363962i
\(122\) −1.10579 + 1.09405i −0.100113 + 0.0990507i
\(123\) −9.12864 10.7206i −0.823102 0.966644i
\(124\) 0.197264 18.4860i 0.0177148 1.66009i
\(125\) −3.16861 3.16861i −0.283409 0.283409i
\(126\) 8.15179 3.05162i 0.726219 0.271860i
\(127\) 9.75481i 0.865599i −0.901490 0.432800i \(-0.857526\pi\)
0.901490 0.432800i \(-0.142474\pi\)
\(128\) −5.28707 10.0023i −0.467315 0.884091i
\(129\) 2.60732 + 5.48741i 0.229562 + 0.483140i
\(130\) −0.110436 + 20.6990i −0.00968590 + 1.81542i
\(131\) 11.1267 + 2.98138i 0.972142 + 0.260485i 0.709732 0.704472i \(-0.248816\pi\)
0.262410 + 0.964956i \(0.415483\pi\)
\(132\) 0.542817 5.96820i 0.0472461 0.519465i
\(133\) 9.06414 2.42873i 0.785961 0.210598i
\(134\) −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 −0.629049 0.777365i \(-0.716556\pi\)
0.987743 + 0.156090i \(0.0498890\pi\)
\(138\) 2.21188 + 0.800304i 0.188288 + 0.0681264i
\(139\) 9.78090 + 2.62078i 0.829605 + 0.222292i 0.648541 0.761179i \(-0.275379\pi\)
0.181064 + 0.983471i \(0.442046\pi\)
\(140\) −2.96561 11.5598i −0.250640 0.976984i
\(141\) −1.86619 + 5.24509i −0.157162 + 0.441716i
\(142\) −2.95857 + 1.68715i −0.248278 + 0.141582i
\(143\) 8.70593 0.728026
\(144\) −9.13932 7.77643i −0.761610 0.648036i
\(145\) 16.7356 1.38982
\(146\) 0.384440 0.219230i 0.0318165 0.0181436i
\(147\) 3.13392 + 3.68045i 0.258481 + 0.303558i
\(148\) −22.4290 + 5.75404i −1.84365 + 0.472979i
\(149\) 13.2792 + 3.55815i 1.08787 + 0.291495i 0.757818 0.652466i \(-0.226266\pi\)
0.330056 + 0.943961i \(0.392932\pi\)
\(150\) −1.48726 8.34199i −0.121435 0.681121i
\(151\) −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
\(155\) −25.9686 + 6.95827i −2.08585 + 0.558902i
\(156\) 10.0480 14.2456i 0.804482 1.14056i
\(157\) 5.63069 + 1.50874i 0.449378 + 0.120411i 0.476408 0.879224i \(-0.341938\pi\)
−0.0270302 + 0.999635i \(0.508605\pi\)
\(158\) −0.0101046 + 1.89391i −0.000803881 + 0.150671i
\(159\) −2.30435 + 3.34215i −0.182747 + 0.265050i
\(160\) −11.9401 + 11.3195i −0.943950 + 0.894885i
\(161\) 1.97014i 0.155268i
\(162\) −12.0597 4.06970i −0.947503 0.319746i
\(163\) 11.8727 + 11.8727i 0.929944 + 0.929944i 0.997702 0.0677576i \(-0.0215845\pi\)
−0.0677576 + 0.997702i \(0.521584\pi\)
\(164\) 16.2580 + 0.173488i 1.26953 + 0.0135472i
\(165\) −8.57146 + 1.57541i −0.667288 + 0.122645i
\(166\) 15.1841 15.0230i 1.17852 1.16601i
\(167\) −4.69768 + 2.71220i −0.363517 + 0.209877i −0.670622 0.741799i \(-0.733973\pi\)
0.307105 + 0.951676i \(0.400640\pi\)
\(168\) −3.52028 + 9.41415i −0.271596 + 0.726318i
\(169\) 10.6737 + 6.16244i 0.821050 + 0.474034i
\(170\) −11.5764 + 3.03578i −0.887869 + 0.232834i
\(171\) −12.5187 5.61850i −0.957331 0.429658i
\(172\) −6.75641 1.88787i −0.515171 0.143949i
\(173\) 15.4112 4.12941i 1.17169 0.313953i 0.380064 0.924960i \(-0.375902\pi\)
0.791625 + 0.611007i \(0.209235\pi\)
\(174\) −11.5609 8.06234i −0.876429 0.611204i
\(175\) −6.14632 + 3.54858i −0.464618 + 0.268247i
\(176\) 4.78759 + 4.99643i 0.360878 + 0.376620i
\(177\) 1.18618 14.7897i 0.0891586 1.11167i
\(178\) −5.51083 9.66374i −0.413054 0.724328i
\(179\) 9.89241 9.89241i 0.739394 0.739394i −0.233067 0.972461i \(-0.574876\pi\)
0.972461 + 0.233067i \(0.0748761\pi\)
\(180\) −7.31494 + 15.8438i −0.545223 + 1.18093i
\(181\) −12.4781 12.4781i −0.927486 0.927486i 0.0700567 0.997543i \(-0.477682\pi\)
−0.997543 + 0.0700567i \(0.977682\pi\)
\(182\) −14.0832 3.85422i −1.04391 0.285694i
\(183\) −0.817620 1.72078i −0.0604402 0.127203i
\(184\) −2.37365 + 1.32023i −0.174988 + 0.0973286i
\(185\) 16.8368 + 29.1621i 1.23786 + 2.14404i
\(186\) 21.2911 + 7.70356i 1.56114 + 0.564853i
\(187\) 1.30278 + 4.86204i 0.0952686 + 0.355547i
\(188\) −3.15464 5.60118i −0.230075 0.408508i
\(189\) 0.231368 + 10.6580i 0.0168295 + 0.775254i
\(190\) −9.49355 + 16.2426i −0.688735 + 1.17836i
\(191\) 2.68392 4.64869i 0.194202 0.336367i −0.752437 0.658664i \(-0.771122\pi\)
0.946639 + 0.322297i \(0.104455\pi\)
\(192\) 13.7013 2.06734i 0.988807 0.149197i
\(193\) −2.67918 4.64047i −0.192852 0.334029i 0.753343 0.657628i \(-0.228440\pi\)
−0.946194 + 0.323600i \(0.895107\pi\)
\(194\) 18.3523 + 0.0979157i 1.31762 + 0.00702994i
\(195\) −23.8846 8.49810i −1.71041 0.608562i
\(196\) −5.58146 0.0595596i −0.398676 0.00425426i
\(197\) −8.66946 + 8.66946i −0.617673 + 0.617673i −0.944934 0.327261i \(-0.893874\pi\)
0.327261 + 0.944934i \(0.393874\pi\)
\(198\) 6.68007 + 3.04099i 0.474732 + 0.216114i
\(199\) 10.3440 0.733266 0.366633 0.930366i \(-0.380510\pi\)
0.366633 + 0.930366i \(0.380510\pi\)
\(200\) 8.39415 + 5.02719i 0.593556 + 0.355476i
\(201\) 1.34276 16.7421i 0.0947111 1.18090i
\(202\) −7.12036 + 7.04478i −0.500986 + 0.495669i
\(203\) −3.05539 + 11.4029i −0.214446 + 0.800324i
\(204\) 9.45940 + 3.47979i 0.662290 + 0.243634i
\(205\) −6.11962 22.8387i −0.427413 1.59513i
\(206\) −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
\(210\) 14.5631 + 1.24623i 1.00495 + 0.0859983i
\(211\) 6.15510 22.9712i 0.423735 1.58140i −0.342936 0.939359i \(-0.611421\pi\)
0.766671 0.642041i \(-0.221912\pi\)
\(212\) −1.16485 4.54054i −0.0800023 0.311845i
\(213\) −0.754033 4.10254i −0.0516655 0.281102i
\(214\) 4.37136 15.9728i 0.298820 1.09188i
\(215\) 10.2018i 0.695758i
\(216\) 12.6858 7.42089i 0.863162 0.504927i
\(217\) 18.9641i 1.28737i
\(218\) 7.98784 + 2.18608i 0.541005 + 0.148060i
\(219\) 0.0979800 + 0.533089i 0.00662088 + 0.0360228i
\(220\) 5.12434 8.66085i 0.345483 0.583915i
\(221\) −3.78968 + 14.1433i −0.254922 + 0.951381i
\(222\) 2.41801 28.2561i 0.162286 1.89643i
\(223\) −10.1818 5.87844i −0.681821 0.393650i 0.118720 0.992928i \(-0.462121\pi\)
−0.800541 + 0.599278i \(0.795454\pi\)
\(224\) −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
\(227\) 0.495968 + 1.85098i 0.0329185 + 0.122854i 0.980430 0.196868i \(-0.0630772\pi\)
−0.947511 + 0.319722i \(0.896410\pi\)
\(228\) 14.3829 6.64680i 0.952531 0.440195i
\(229\) 0.784708 2.92857i 0.0518550 0.193525i −0.935139 0.354280i \(-0.884726\pi\)
0.986994 + 0.160754i \(0.0513927\pi\)
\(230\) 2.77804 + 2.80784i 0.183179 + 0.185144i
\(231\) 0.491467 6.12780i 0.0323361 0.403180i
\(232\) 15.7858 3.96012i 1.03639 0.259995i
\(233\) −22.3128 −1.46176 −0.730881 0.682505i \(-0.760891\pi\)
−0.730881 + 0.682505i \(0.760891\pi\)
\(234\) 12.4054 + 17.3768i 0.810969 + 1.13596i
\(235\) −6.61041 + 6.61041i −0.431216 + 0.431216i
\(236\) 11.9846 + 12.2431i 0.780131 + 0.796960i
\(237\) −2.18538 0.777554i −0.141956 0.0505076i
\(238\) 0.0450401 8.44184i 0.00291951 0.547203i
\(239\) −2.20682 3.82232i −0.142747 0.247246i 0.785783 0.618502i \(-0.212260\pi\)
−0.928530 + 0.371257i \(0.878927\pi\)
\(240\) −8.25756 18.3810i −0.533023 1.18649i
\(241\) −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
\(243\) 9.58162 12.2960i 0.614661 0.788791i
\(244\) 2.11872 + 0.592010i 0.135637 + 0.0378995i
\(245\) 2.10090 + 7.84068i 0.134222 + 0.500922i
\(246\) −6.77508 + 18.7250i −0.431963 + 1.19386i
\(247\) 11.5088 + 19.9339i 0.732290 + 1.26836i
\(248\) −22.8483 + 12.7083i −1.45087 + 0.806976i
\(249\) 11.2272 + 23.6289i 0.711492 + 1.49742i
\(250\) −1.67283 + 6.11245i −0.105799 + 0.386585i
\(251\) −5.46337 5.46337i −0.344845 0.344845i 0.513340 0.858185i \(-0.328408\pi\)
−0.858185 + 0.513340i \(0.828408\pi\)
\(252\) −9.45975 7.87662i −0.595908 0.496180i
\(253\) 1.17470 1.17470i 0.0738528 0.0738528i
\(254\) −11.9838 + 6.83385i −0.751929 + 0.428794i
\(255\) 1.17181 14.6106i 0.0733817 0.914953i
\(256\) −8.58396 + 13.5024i −0.536497 + 0.843902i
\(257\) 3.48944 2.01463i 0.217665 0.125669i −0.387203 0.921994i \(-0.626559\pi\)
0.604869 + 0.796325i \(0.293226\pi\)
\(258\) 4.91469 7.04737i 0.305976 0.438750i
\(259\) −22.9435 + 6.14770i −1.42564 + 0.381999i
\(260\) 25.5061 14.3653i 1.58182 0.890897i
\(261\) 13.9956 10.1048i 0.866307 0.625468i
\(262\) −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 \(0.682317\pi\)
\(264\) −7.71220 + 3.51424i −0.474653 + 0.216287i
\(265\) −5.90359 + 3.40844i −0.362655 + 0.209379i
\(266\) −9.33369 9.43382i −0.572285 0.578425i
\(267\) 13.4004 2.46294i 0.820089 0.150730i
\(268\) 13.5666 + 13.8593i 0.828715 + 0.846592i
\(269\) −7.39664 7.39664i −0.450981 0.450981i 0.444699 0.895680i \(-0.353311\pi\)
−0.895680 + 0.444699i \(0.853311\pi\)
\(270\) −15.3583 14.8635i −0.934677 0.904566i
\(271\) 9.52293i 0.578477i −0.957257 0.289238i \(-0.906598\pi\)
0.957257 0.289238i \(-0.0934020\pi\)
\(272\) −10.2010 + 5.60279i −0.618528 + 0.339719i
\(273\) 10.1508 14.7224i 0.614352 0.891038i
\(274\) −11.8747 0.0633556i −0.717377 0.00382745i
\(275\) −5.78061 1.54891i −0.348584 0.0934029i
\(276\) −0.566388 3.27796i −0.0340925 0.197310i
\(277\) −12.4837 + 3.34499i −0.750071 + 0.200981i −0.613549 0.789656i \(-0.710259\pi\)
−0.136521 + 0.990637i \(0.543592\pi\)
\(278\) −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 −0.945995 0.324181i \(-0.894911\pi\)
0.753746 + 0.657165i \(0.228245\pi\)
\(282\) 7.75098 1.38189i 0.461564 0.0822906i
\(283\) −16.8566 4.51670i −1.00202 0.268490i −0.279727 0.960079i \(-0.590244\pi\)
−0.722291 + 0.691589i \(0.756911\pi\)
\(284\) 4.14533 + 2.45265i 0.245980 + 0.145538i
\(285\) −14.9383 17.5434i −0.884867 1.03918i
\(286\) −6.09904 10.6952i −0.360644 0.632422i
\(287\) 16.6785 0.984498
\(288\) −3.15069 + 16.6755i −0.185656 + 0.982615i
\(289\) 8.53424 0.502014
\(290\) −11.7244 20.5597i −0.688478 1.20731i
\(291\) −7.53464 + 21.1767i −0.441689 + 1.24140i
\(292\) −0.538649 0.318700i −0.0315220 0.0186505i
\(293\) −6.53579 1.75126i −0.381825 0.102310i 0.0628008 0.998026i \(-0.479997\pi\)
−0.444626 + 0.895716i \(0.646663\pi\)
\(294\) 2.32593 6.42840i 0.135651 0.374912i
\(295\) 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
\(299\) 4.66787 1.25075i 0.269950 0.0723328i
\(300\) −9.20622 + 7.67119i −0.531521 + 0.442896i
\(301\) −6.95103 1.86252i −0.400651 0.107354i
\(302\) 5.03429 + 0.0268596i 0.289691 + 0.00154560i
\(303\) −5.26479 11.0804i −0.302454 0.636550i
\(304\) −5.11130 + 17.5672i −0.293153 + 1.00755i
\(305\) 3.19915i 0.183183i
\(306\) −7.84810 + 9.52843i −0.448646 + 0.544704i
\(307\) 4.83046 + 4.83046i 0.275689 + 0.275689i 0.831385 0.555696i \(-0.187548\pi\)
−0.555696 + 0.831385i \(0.687548\pi\)
\(308\) 4.96555 + 5.07267i 0.282939 + 0.289042i
\(309\) −5.29572 6.21926i −0.301263 0.353801i
\(310\) 26.7409 + 27.0278i 1.51878 + 1.53507i
\(311\) −0.0401112 + 0.0231582i −0.00227450 + 0.00131318i −0.501137 0.865368i \(-0.667085\pi\)
0.498862 + 0.866681i \(0.333751\pi\)
\(312\) −24.5399 2.36402i −1.38930 0.133836i
\(313\) −0.548529 0.316693i −0.0310047 0.0179006i 0.484418 0.874837i \(-0.339032\pi\)
−0.515422 + 0.856936i \(0.672365\pi\)
\(314\) −2.09117 7.97427i −0.118011 0.450014i
\(315\) −7.32986 + 16.3318i −0.412991 + 0.920194i
\(316\) 2.33374 1.31439i 0.131283 0.0739400i
\(317\) 10.9578 2.93614i 0.615453 0.164910i 0.0623932 0.998052i \(-0.480127\pi\)
0.553060 + 0.833141i \(0.313460\pi\)
\(318\) 5.72018 + 0.489502i 0.320771 + 0.0274499i
\(319\) −8.62078 + 4.97721i −0.482671 + 0.278670i
\(320\) 22.2708 + 6.73844i 1.24498 + 0.376690i
\(321\) 16.6977 + 11.5127i 0.931975 + 0.642578i
\(322\) −2.42031 + 1.38020i −0.134879 + 0.0769157i
\(323\) −9.41035 + 9.41035i −0.523606 + 0.523606i
\(324\) 3.44898 + 17.6665i 0.191610 + 0.981471i
\(325\) −12.3097 12.3097i −0.682820 0.682820i
\(326\) 6.26806 22.9032i 0.347156 1.26849i
\(327\) −5.75742 + 8.35039i −0.318386 + 0.461778i
\(328\) −11.1766 20.0944i −0.617123 1.10953i
\(329\) −3.29717 5.71086i −0.181779 0.314850i
\(330\) 7.94023 + 9.42637i 0.437095 + 0.518905i
\(331\) 4.84419 + 18.0788i 0.266261 + 0.993699i 0.961474 + 0.274896i \(0.0886433\pi\)
−0.695213 + 0.718804i \(0.744690\pi\)
\(332\) −29.0932 8.12919i −1.59670 0.446147i
\(333\) 31.6879 + 14.2218i 1.73649 + 0.779349i
\(334\) 6.62296 + 3.87103i 0.362392 + 0.211813i
\(335\) 14.1019 24.4253i 0.770471 1.33449i
\(336\) 14.0315 2.27054i 0.765479 0.123868i
\(337\) 14.8168 + 25.6634i 0.807120 + 1.39797i 0.914850 + 0.403793i \(0.132309\pi\)
−0.107730 + 0.994180i \(0.534358\pi\)
\(338\) 0.0929937 17.4298i 0.00505819 0.948054i
\(339\) −20.3290 + 17.3103i −1.10412 + 0.940165i
\(340\) 11.8394 + 12.0949i 0.642084 + 0.655935i
\(341\) 11.3074 11.3074i 0.612332 0.612332i
\(342\) 1.86781 + 19.3154i 0.101000 + 1.04446i
\(343\) −20.0871 −1.08460
\(344\) 2.41404 + 9.62282i 0.130156 + 0.518827i
\(345\) −4.36944 + 2.07612i −0.235243 + 0.111775i
\(346\) −15.8695 16.0397i −0.853148 0.862300i
\(347\) −3.30055 + 12.3178i −0.177183 + 0.661254i 0.818987 + 0.573812i \(0.194536\pi\)
−0.996170 + 0.0874424i \(0.972131\pi\)
\(348\) −1.80545 + 19.8507i −0.0967825 + 1.06411i
\(349\) 0.986864 + 3.68302i 0.0528256 + 0.197148i 0.987296 0.158894i \(-0.0507928\pi\)
−0.934470 + 0.356042i \(0.884126\pi\)
\(350\) 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 \(0.616357\pi\)
\(354\) −19.0002 + 8.90392i −1.00985 + 0.473238i
\(355\) 1.81289 6.76578i 0.0962180 0.359090i
\(356\) −8.01123 + 13.5401i −0.424594 + 0.717624i
\(357\) 9.74105 + 3.46585i 0.515551 + 0.183432i
\(358\) −19.0831 5.22258i −1.00857 0.276022i
\(359\) 30.3546i 1.60206i −0.598626 0.801028i \(-0.704287\pi\)
0.598626 0.801028i \(-0.295713\pi\)
\(360\) 24.5887 2.11318i 1.29594 0.111375i
\(361\) 1.92066i 0.101088i
\(362\) −6.58763 + 24.0709i −0.346238 + 1.26514i
\(363\) −10.5594 + 8.99134i −0.554222 + 0.471923i
\(364\) 5.13122 + 20.0013i 0.268949 + 1.04835i
\(365\) −0.235569 + 0.879154i −0.0123302 + 0.0460170i
\(366\) −1.54118 + 2.20996i −0.0805588 + 0.115516i
\(367\) 24.4676 + 14.1264i 1.27720 + 0.737392i 0.976333 0.216274i \(-0.0693904\pi\)
0.300868 + 0.953666i \(0.402724\pi\)
\(368\) 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
\(371\) −1.24454 4.64469i −0.0646134 0.241141i
\(372\) −5.45194 31.5530i −0.282670 1.63595i
\(373\) −0.380211 + 1.41897i −0.0196866 + 0.0734714i −0.975070 0.221896i \(-0.928775\pi\)
0.955384 + 0.295367i \(0.0954421\pi\)
\(374\) 5.06033 5.00662i 0.261664 0.258886i
\(375\) −6.38987 4.40569i −0.329972 0.227509i
\(376\) −4.67103 + 7.79944i −0.240890 + 0.402226i
\(377\) −28.9566 −1.49134
\(378\) 12.9312 7.75081i 0.665111 0.398659i
\(379\) 1.06529 1.06529i 0.0547204 0.0547204i −0.679217 0.733937i \(-0.737680\pi\)
0.733937 + 0.679217i \(0.237680\pi\)
\(380\) 26.6048 + 0.283900i 1.36480 + 0.0145637i
\(381\) −3.05424 16.6175i −0.156473 0.851339i
\(382\) −7.59117 0.0405015i −0.388398 0.00207223i
\(383\) −9.90139 17.1497i −0.505937 0.876309i −0.999976 0.00686957i \(-0.997813\pi\)
0.494039 0.869440i \(-0.335520\pi\)
\(384\) −12.1383 15.3838i −0.619433 0.785050i
\(385\) 5.16148 8.93994i 0.263053 0.455621i
\(386\) −3.82389 + 6.54231i −0.194631 + 0.332995i
\(387\) 6.15972 + 8.53154i 0.313116 + 0.433683i
\(388\) −12.7366 22.6144i −0.646605 1.14807i
\(389\) −0.661123 2.46734i −0.0335203 0.125099i 0.947138 0.320825i \(-0.103960\pi\)
−0.980659 + 0.195726i \(0.937294\pi\)
\(390\) 6.29274 + 35.2957i 0.318646 + 1.78727i
\(391\) 1.39702 + 2.41972i 0.0706506 + 0.122370i
\(392\) 3.83699 + 6.89855i 0.193797 + 0.348429i
\(393\) 19.8880 + 1.59507i 1.00321 + 0.0804606i
\(394\) 16.7239 + 4.57693i 0.842539 + 0.230583i
\(395\) −2.75424 2.75424i −0.138581 0.138581i
\(396\) −0.943948 10.3369i −0.0474352 0.519447i
\(397\) −21.2472 + 21.2472i −1.06637 + 1.06637i −0.0687299 + 0.997635i \(0.521895\pi\)
−0.997635 + 0.0687299i \(0.978105\pi\)
\(398\) −7.24661 12.7076i −0.363240 0.636974i
\(399\) 14.6805 6.97537i 0.734943 0.349205i
\(400\) 0.295280 13.8341i 0.0147640 0.691704i
\(401\) 17.0300 9.83227i 0.850437 0.491000i −0.0103610 0.999946i \(-0.503298\pi\)
0.860798 + 0.508946i \(0.169965\pi\)
\(402\) −21.5083 + 10.0793i −1.07274 + 0.502710i
\(403\) 44.9320 12.0395i 2.23822 0.599729i
\(404\) 13.6428 + 3.81205i 0.678753 + 0.189657i
\(405\) 23.3938 11.7445i 1.16245 0.583587i
\(406\) 16.1489 4.23487i 0.801456 0.210173i
\(407\) −17.3457 10.0146i −0.859796 0.496404i
\(408\) −2.35198 14.0587i −0.116440 0.696008i
\(409\) 0.370476 0.213894i 0.0183189 0.0105764i −0.490813 0.871265i \(-0.663300\pi\)
0.509131 + 0.860689i \(0.329967\pi\)
\(410\) −23.7702 + 23.5179i −1.17393 + 1.16147i
\(411\) 4.87523 13.7022i 0.240477 0.675881i
\(412\) 9.43159 + 0.100644i 0.464661 + 0.00495839i
\(413\) 12.4272 + 12.4272i 0.611502 + 0.611502i
\(414\) 4.01855 + 0.670789i 0.197501 + 0.0329675i
\(415\) 43.9292i 2.15640i
\(416\) 20.6593 19.5854i 1.01290 0.960256i
\(417\) 17.4825 + 1.40214i 0.856121 + 0.0686633i
\(418\) 0.0597035 11.1902i 0.00292019 0.547331i
\(419\) −33.0490 8.85545i −1.61455 0.432617i −0.665155 0.746705i \(-0.731635\pi\)
−0.949394 + 0.314088i \(0.898301\pi\)
\(420\) −8.67136 18.7638i −0.423119 0.915581i
\(421\) 15.5390 4.16367i 0.757326 0.202925i 0.140561 0.990072i \(-0.455109\pi\)
0.616765 + 0.787147i \(0.288443\pi\)
\(422\) −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
\(426\) −4.51173 + 3.80042i −0.218594 + 0.184131i
\(427\) 2.17975 + 0.584062i 0.105485 + 0.0282647i
\(428\) −22.6849 + 5.81970i −1.09652 + 0.281306i
\(429\) 14.8307 2.72583i 0.716032 0.131604i
\(430\) 12.5329 7.14701i 0.604392 0.344659i
\(431\) −6.69108 −0.322298 −0.161149 0.986930i \(-0.551520\pi\)
−0.161149 + 0.986930i \(0.551520\pi\)
\(432\) −18.0038 10.3858i −0.866207 0.499685i
\(433\) −16.7354 −0.804254 −0.402127 0.915584i \(-0.631729\pi\)
−0.402127 + 0.915584i \(0.631729\pi\)
\(434\) −23.2974 + 13.2856i −1.11831 + 0.637728i
\(435\) 28.5094 5.23993i 1.36692 0.251236i
\(436\) −2.91038 11.3446i −0.139382 0.543305i
\(437\) 4.24260 + 1.13680i 0.202951 + 0.0543806i
\(438\) 0.586259 0.493831i 0.0280125 0.0235961i
\(439\) 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
\(443\) 32.6782 8.75609i 1.55259 0.416014i 0.622280 0.782795i \(-0.286207\pi\)
0.930307 + 0.366781i \(0.119540\pi\)
\(444\) −36.4066 + 16.8246i −1.72778 + 0.798462i
\(445\) 22.0994 + 5.92153i 1.04761 + 0.280707i
\(446\) −0.0887081 + 16.6265i −0.00420045 + 0.787288i
\(447\) 23.7354 + 1.90364i 1.12265 + 0.0900392i
\(448\) −8.65718 + 13.9440i −0.409013 + 0.658794i
\(449\) 10.7735i 0.508432i 0.967147 + 0.254216i \(0.0818174\pi\)
−0.967147 + 0.254216i \(0.918183\pi\)
\(450\) −5.14546 13.7451i −0.242559 0.647948i
\(451\) 9.94459 + 9.94459i 0.468273 + 0.468273i
\(452\) 0.328979 30.8293i 0.0154739 1.45009i
\(453\) −2.06686 + 5.80907i −0.0971094 + 0.272934i
\(454\) 1.92647 1.90602i 0.0904136 0.0894540i
\(455\) 26.0056 15.0143i 1.21916 0.703883i
\(456\) −18.2417 13.0129i −0.854247 0.609385i
\(457\) 6.74050 + 3.89163i 0.315307 + 0.182043i 0.649299 0.760533i \(-0.275062\pi\)
−0.333992 + 0.942576i \(0.608396\pi\)
\(458\) −4.14749 + 1.08763i −0.193799 + 0.0508217i
\(459\) −7.84174 12.9260i −0.366021 0.603336i
\(460\) 1.50325 5.37990i 0.0700892 0.250839i
\(461\) −24.2137 + 6.48803i −1.12774 + 0.302178i −0.774013 0.633170i \(-0.781753\pi\)
−0.353730 + 0.935348i \(0.615087\pi\)
\(462\) −7.87231 + 3.68914i −0.366253 + 0.171634i
\(463\) −1.11241 + 0.642249i −0.0516980 + 0.0298479i −0.525626 0.850716i \(-0.676169\pi\)
0.473928 + 0.880563i \(0.342836\pi\)
\(464\) −15.9239 16.6185i −0.739250 0.771496i
\(465\) −42.0594 + 19.9843i −1.95046 + 0.926751i
\(466\) 15.6315 + 27.4113i 0.724117 + 1.26980i
\(467\) 21.0842 21.0842i 0.975659 0.975659i −0.0240512 0.999711i \(-0.507656\pi\)
0.999711 + 0.0240512i \(0.00765648\pi\)
\(468\) 12.6566 27.4136i 0.585051 1.26719i
\(469\) 14.0677 + 14.0677i 0.649584 + 0.649584i
\(470\) 12.7519 + 3.48988i 0.588201 + 0.160976i
\(471\) 10.0644 + 0.807190i 0.463741 + 0.0371933i
\(472\) 6.64473 23.3002i 0.305848 1.07248i
\(473\) −3.03404 5.25511i −0.139505 0.241630i
\(474\) 0.575770 + 3.22946i 0.0264460 + 0.148334i
\(475\) −4.09518 15.2834i −0.187900 0.701251i
\(476\) −10.4024 + 5.85870i −0.476791 + 0.268533i
\(477\) −2.87906 + 6.41491i −0.131823 + 0.293718i
\(478\) −3.14971 + 5.38885i −0.144064 + 0.246480i
\(479\) −20.5401 + 35.5766i −0.938503 + 1.62553i −0.170238 + 0.985403i \(0.554454\pi\)
−0.768265 + 0.640132i \(0.778880\pi\)
\(480\) −16.7961 + 23.0214i −0.766632 + 1.05078i
\(481\) −29.1316 50.4574i −1.32829 2.30066i
\(482\) 19.5792 + 0.104462i 0.891808 + 0.00475810i
\(483\) −0.616851 3.35616i −0.0280677 0.152711i
\(484\) 0.170879 16.0134i 0.00776722 0.727883i
\(485\) −26.6891 + 26.6891i −1.21189 + 1.21189i
\(486\) −21.8182 3.15688i −0.989694 0.143199i
\(487\) −4.02337 −0.182316 −0.0911581 0.995836i \(-0.529057\pi\)
−0.0911581 + 0.995836i \(0.529057\pi\)
\(488\) −0.757009 3.01758i −0.0342682 0.136600i
\(489\) 23.9428 + 16.5080i 1.08273 + 0.746519i
\(490\) 8.16046 8.07384i 0.368652 0.364739i
\(491\) 7.76101 28.9645i 0.350250 1.30715i −0.536108 0.844149i \(-0.680106\pi\)
0.886358 0.463000i \(-0.153227\pi\)
\(492\) 27.7500 4.79483i 1.25107 0.216168i
\(493\) −4.33315 16.1715i −0.195155 0.728330i
\(494\) 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
\(498\) 21.1627 30.3461i 0.948325 1.35984i
\(499\) −8.31074 + 31.0161i −0.372040 + 1.38847i 0.485583 + 0.874191i \(0.338608\pi\)
−0.857622 + 0.514280i \(0.828059\pi\)
\(500\) 8.68106 2.22708i 0.388229 0.0995980i
\(501\) −7.15337 + 6.09113i −0.319589 + 0.272132i
\(502\) −2.88432 + 10.5392i −0.128733 + 0.470386i
\(503\) 31.7936i 1.41761i 0.705406 + 0.708803i \(0.250765\pi\)
−0.705406 + 0.708803i \(0.749235\pi\)
\(504\) −3.04928 + 17.1394i −0.135826 + 0.763448i
\(505\) 20.5999i 0.916682i
\(506\) −2.26607 0.620169i −0.100739 0.0275699i
\(507\) 20.1122 + 7.15589i 0.893215 + 0.317804i
\(508\) 16.7908 + 9.93454i 0.744970 + 0.440774i
\(509\) 9.11633 34.0226i 0.404074 1.50803i −0.401683 0.915779i \(-0.631575\pi\)
0.805757 0.592246i \(-0.201759\pi\)
\(510\) −18.7701 + 8.79608i −0.831153 + 0.389497i
\(511\) −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
\(515\) −3.55012 13.2492i −0.156437 0.583831i
\(516\) −12.1007 1.10058i −0.532705 0.0484504i
\(517\) 1.43917 5.37107i 0.0632948 0.236219i
\(518\) 23.6258 + 23.8793i 1.03806 + 1.04919i
\(519\) 24.9603 11.8598i 1.09563 0.520586i
\(520\) −35.5164 21.2705i −1.55750 0.932773i
\(521\) 11.5494 0.505989 0.252994 0.967468i \(-0.418585\pi\)
0.252994 + 0.967468i \(0.418585\pi\)
\(522\) −22.2185 10.1146i −0.972477 0.442704i
\(523\) 2.36739 2.36739i 0.103519 0.103519i −0.653451 0.756969i \(-0.726679\pi\)
0.756969 + 0.653451i \(0.226679\pi\)
\(524\) −16.4635 + 16.1158i −0.719211 + 0.704023i
\(525\) −9.35929 + 7.96947i −0.408473 + 0.347816i
\(526\) −0.0120273 + 2.25428i −0.000524416 + 0.0982911i
\(527\) 13.4475 + 23.2917i 0.585782 + 1.01460i
\(528\) 9.72013 + 7.01250i 0.423014 + 0.305180i
\(529\) −11.0389 + 19.1200i −0.479953 + 0.831303i
\(530\) 8.32310 + 4.86473i 0.361532 + 0.211311i
\(531\) −2.61000 25.5660i −0.113264 1.10947i
\(532\) −5.05062 + 18.0754i −0.218972 + 0.783669i
\(533\) 10.5884 + 39.5165i 0.458635 + 1.71165i
\(534\) −12.4135 14.7369i −0.537185 0.637728i
\(535\) 17.0289 + 29.4949i 0.736222 + 1.27517i
\(536\) 7.52188 26.3759i 0.324896 1.13927i
\(537\) 13.7546 19.9492i 0.593553 0.860872i
\(538\) −3.90496 + 14.2686i −0.168355 + 0.615162i
\(539\) −3.41404 3.41404i −0.147053 0.147053i
\(540\) −7.50041 + 29.2805i −0.322766 + 1.26003i
\(541\) −20.9332 + 20.9332i −0.899989 + 0.899989i −0.995435 0.0954454i \(-0.969572\pi\)
0.0954454 + 0.995435i \(0.469572\pi\)
\(542\) −11.6989 + 6.67141i −0.502512 + 0.286562i
\(543\) −25.1635 17.3497i −1.07987 0.744546i
\(544\) 14.0295 + 8.60686i 0.601509 + 0.369016i
\(545\) −14.7501 + 8.51600i −0.631827 + 0.364785i
\(546\) −25.1977 2.15628i −1.07836 0.0922804i
\(547\) −34.2985 + 9.19026i −1.46650 + 0.392947i −0.901729 0.432301i \(-0.857702\pi\)
−0.564770 + 0.825248i \(0.691035\pi\)
\(548\) 8.24114 + 14.6325i 0.352044 + 0.625068i
\(549\) −1.93160 2.67537i −0.0824389 0.114182i
\(550\) 2.14684 + 8.18659i 0.0915417 + 0.349078i
\(551\) −22.7926 13.1593i −0.970995 0.560604i
\(552\) −3.63018 + 2.99222i −0.154511 + 0.127357i
\(553\) 2.37944 1.37377i 0.101184 0.0584188i
\(554\) 12.8549 + 12.9928i 0.546152 + 0.552011i
\(555\) 37.8124 + 44.4065i 1.60504 + 1.88495i
\(556\) −14.4722 + 14.1666i −0.613759 + 0.600798i
\(557\) −11.1853 11.1853i −0.473937 0.473937i 0.429249 0.903186i \(-0.358778\pi\)
−0.903186 + 0.429249i \(0.858778\pi\)
\(558\) 38.6818 + 6.45688i 1.63753 + 0.273342i
\(559\) 17.6516i 0.746583i
\(560\) 22.9180 + 6.66816i 0.968462 + 0.281781i
\(561\) 3.74161 + 7.87466i 0.157971 + 0.332468i
\(562\) 9.11498 + 0.0486315i 0.384492 + 0.00205140i
\(563\) 4.63936 + 1.24311i 0.195526 + 0.0523910i 0.355253 0.934770i \(-0.384395\pi\)
−0.159727 + 0.987161i \(0.551061\pi\)
\(564\) −7.12770 8.55398i −0.300131 0.360187i
\(565\) −43.3082 + 11.6044i −1.82199 + 0.488200i
\(566\) 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 −0.720180 0.693788i \(-0.755941\pi\)
0.960928 + 0.276800i \(0.0892740\pi\)
\(570\) −11.0869 + 30.6419i −0.464378 + 1.28345i
\(571\) −4.99227 1.33767i −0.208920 0.0559799i 0.152841 0.988251i \(-0.451158\pi\)
−0.361761 + 0.932271i \(0.617824\pi\)
\(572\) −8.86633 + 14.9854i −0.370720 + 0.626569i
\(573\) 3.11660 8.75945i 0.130198 0.365931i
\(574\) −11.6843 20.4895i −0.487693 0.855215i
\(575\) −3.32193 −0.138534
\(576\) 22.6931 7.81163i 0.945547 0.325485i
\(577\) −25.5971 −1.06562 −0.532810 0.846235i \(-0.678864\pi\)
−0.532810 + 0.846235i \(0.678864\pi\)
\(578\) −5.97876 10.4843i −0.248684 0.436090i
\(579\) −6.01696 7.06627i −0.250056 0.293664i
\(580\) −17.0440 + 28.8067i −0.707713 + 1.19613i
\(581\) −29.9312 8.02005i −1.24176 0.332728i
\(582\) 31.2941 5.57931i 1.29718 0.231270i
\(583\) 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
\(587\) −2.68525 + 0.719512i −0.110832 + 0.0296974i −0.313809 0.949486i \(-0.601605\pi\)
0.202977 + 0.979184i \(0.434938\pi\)
\(588\) −9.52675 + 1.64610i −0.392877 + 0.0678839i
\(589\) 40.8385 + 10.9426i 1.68272 + 0.450883i
\(590\) −35.2345 0.187988i −1.45058 0.00773935i
\(591\) −12.0541 + 17.4830i −0.495841 + 0.719153i
\(592\) 12.9379 44.4667i 0.531745 1.82757i
\(593\) 0.335583i 0.0137807i 0.999976 + 0.00689036i \(0.00219329\pi\)
−0.999976 + 0.00689036i \(0.997807\pi\)
\(594\) 12.3317 + 3.08885i 0.505978 + 0.126737i
\(595\) 12.2767 + 12.2767i 0.503295 + 0.503295i
\(596\) −19.6484 + 19.2335i −0.804831 + 0.787836i
\(597\) 17.6212 3.23871i 0.721186 0.132552i
\(598\) −4.80668 4.85824i −0.196560 0.198668i
\(599\) −3.98883 + 2.30295i −0.162979 + 0.0940961i −0.579271 0.815135i \(-0.696663\pi\)
0.416292 + 0.909231i \(0.363329\pi\)
\(600\) 15.8736 + 5.93569i 0.648036 + 0.242324i
\(601\) −29.9967 17.3186i −1.22359 0.706440i −0.257909 0.966169i \(-0.583034\pi\)
−0.965682 + 0.259729i \(0.916367\pi\)
\(602\) 2.58152 + 9.84416i 0.105215 + 0.401218i
\(603\) −2.95454 28.9408i −0.120318 1.17856i
\(604\) −3.49384 6.20344i −0.142162 0.252415i
\(605\) −22.4952 + 6.02757i −0.914560 + 0.245056i
\(606\) −9.92392 + 14.2303i −0.403132 + 0.578066i
\(607\) 18.3567 10.5982i 0.745074 0.430169i −0.0788371 0.996888i \(-0.525121\pi\)
0.823911 + 0.566719i \(0.191787\pi\)
\(608\) 25.1620 6.02766i 1.02046 0.244454i
\(609\) −1.63466 + 20.3816i −0.0662398 + 0.825904i
\(610\) −3.93016 + 2.24120i −0.159127 + 0.0907437i
\(611\) 11.4376 11.4376i 0.462715 0.462715i
\(612\) 17.2038 + 2.96614i 0.695421 + 0.119899i
\(613\) 15.1548 + 15.1548i 0.612098 + 0.612098i 0.943492 0.331394i \(-0.107519\pi\)
−0.331394 + 0.943492i \(0.607519\pi\)
\(614\) 2.55018 9.31825i 0.102917 0.376054i
\(615\) −17.5757 36.9901i −0.708720 1.49158i
\(616\) 2.75310 9.65390i 0.110925 0.388967i
\(617\) 2.56785 + 4.44764i 0.103378 + 0.179055i 0.913074 0.407793i \(-0.133702\pi\)
−0.809697 + 0.586849i \(0.800368\pi\)
\(618\) −3.93037 + 10.8628i −0.158103 + 0.436965i
\(619\) −9.73767 36.3415i −0.391390 1.46069i −0.827842 0.560961i \(-0.810432\pi\)
0.436452 0.899727i \(-0.356235\pi\)
\(620\) 14.4699 51.7858i 0.581127 2.07977i
\(621\) −2.40052 + 4.37442i −0.0963297 + 0.175539i
\(622\) 0.0565502 + 0.0330528i 0.00226746 + 0.00132530i
\(623\) −8.06929 + 13.9764i −0.323289 + 0.559954i
\(624\) 14.2876 + 31.8035i 0.571960 + 1.27316i
\(625\) −15.1649 26.2663i −0.606595 1.05065i
\(626\) −0.00477903 + 0.895731i −0.000191008 + 0.0358006i
\(627\) 12.9124 + 4.59420i 0.515671 + 0.183475i
\(628\) −8.33140 + 8.15547i −0.332459 + 0.325439i
\(629\) 23.8198 23.8198i 0.949760 0.949760i
\(630\) 25.1987 2.43674i 1.00394 0.0970819i
\(631\) −30.8454 −1.22794 −0.613969 0.789330i \(-0.710428\pi\)
−0.613969 + 0.789330i \(0.710428\pi\)
\(632\) −3.24966 1.94619i −0.129264 0.0774154i
\(633\) 3.29304 41.0589i 0.130886 1.63194i
\(634\) −11.2837 11.4047i −0.448133 0.452940i
\(635\) 7.34315 27.4050i 0.291404 1.08753i
\(636\) −3.40599 7.37016i −0.135056 0.292246i
\(637\) −3.63507 13.5662i −0.144027 0.537514i
\(638\) 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 \(0.641922\pi\)
\(642\) 2.44560 28.5785i 0.0965201 1.12790i
\(643\) −1.64315 + 6.13231i −0.0647994 + 0.241835i −0.990727 0.135866i \(-0.956618\pi\)
0.925928 + 0.377700i \(0.123285\pi\)
\(644\) 3.39116 + 2.00644i 0.133630 + 0.0790646i
\(645\) 3.19419 + 17.3790i 0.125771 + 0.684296i
\(646\) 18.1532 + 4.96808i 0.714226 + 0.195466i
\(647\) 29.0686i 1.14280i 0.820670 + 0.571402i \(0.193600\pi\)
−0.820670 + 0.571402i \(0.806400\pi\)
\(648\) 19.2870 16.6135i 0.757667 0.652642i
\(649\) 14.8195i 0.581717i
\(650\) −6.49876 + 23.7462i −0.254902 + 0.931402i
\(651\) −5.93768 32.3057i −0.232716 1.26616i
\(652\) −32.5278 + 8.34483i −1.27389 + 0.326809i
\(653\) −12.6939 + 47.3742i −0.496750 + 1.85390i 0.0232472 + 0.999730i \(0.492600\pi\)
−0.519998 + 0.854168i \(0.674067\pi\)
\(654\) 14.2919 + 1.22302i 0.558857 + 0.0478240i
\(655\) 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
\(659\) 0.429334 + 1.60230i 0.0167245 + 0.0624166i 0.973784 0.227476i \(-0.0730472\pi\)
−0.957059 + 0.289892i \(0.906381\pi\)
\(660\) 6.01767 16.3583i 0.234238 0.636747i
\(661\) −10.4327 + 38.9352i −0.405783 + 1.51440i 0.396824 + 0.917895i \(0.370112\pi\)
−0.802607 + 0.596508i \(0.796554\pi\)
\(662\) 18.8161 18.6164i 0.731309 0.723547i
\(663\) −2.02752 + 25.2799i −0.0787422 + 0.981789i
\(664\) 10.3949 + 41.4360i 0.403399 + 1.60803i
\(665\) 27.2929 1.05837
\(666\) −4.72788 48.8918i −0.183202 1.89452i
\(667\) −3.90715 + 3.90715i −0.151286 + 0.151286i
\(668\) 0.115761 10.8482i 0.00447892 0.419729i
\(669\) −19.1853 6.82611i −0.741748 0.263913i
\(670\) −39.8857 0.212804i −1.54092 0.00822133i
\(671\) 0.951434 + 1.64793i 0.0367297 + 0.0636177i
\(672\) −12.6193 15.6470i −0.486799 0.603596i
\(673\) 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
\(675\) 17.9708 0.390119i 0.691698 0.0150157i
\(676\) −21.4776 + 12.0964i −0.826062 + 0.465246i
\(677\) −11.8480 44.2173i −0.455355 1.69941i −0.687042 0.726617i \(-0.741091\pi\)
0.231687 0.972790i \(-0.425575\pi\)
\(678\) 35.5074 + 12.8473i 1.36365 + 0.493398i
\(679\) −13.3121 23.0573i −0.510872 0.884856i
\(680\) 6.56425 23.0180i 0.251728 0.882698i
\(681\) 1.42443 + 2.99788i 0.0545843 + 0.114879i
\(682\) −21.8128 5.96962i −0.835254 0.228589i
\(683\) 13.5540 + 13.5540i 0.518630 + 0.518630i 0.917157 0.398527i \(-0.130478\pi\)
−0.398527 + 0.917157i \(0.630478\pi\)
\(684\) 22.4204 15.8262i 0.857266 0.605131i
\(685\) 17.2690 17.2690i 0.659813 0.659813i
\(686\) 14.0723 + 24.6770i 0.537282 + 0.942173i
\(687\) 0.419826 5.23456i 0.0160174 0.199711i
\(688\) 10.1304 9.70703i 0.386220 0.370077i
\(689\) 10.2146 5.89742i 0.389146 0.224674i
\(690\) 5.61158 + 3.91340i 0.213629 + 0.148981i
\(691\) −48.4658 + 12.9864i −1.84373 + 0.494025i −0.999143 0.0414008i \(-0.986818\pi\)
−0.844583 + 0.535425i \(0.820151\pi\)
\(692\) −8.58724 + 30.7325i −0.326438 + 1.16827i
\(693\) −1.08140 10.5927i −0.0410789 0.402383i
\(694\) 17.4447 4.57467i 0.662190 0.173652i
\(695\) 25.5055 + 14.7256i 0.967477 + 0.558573i
\(696\) 25.6514 11.6887i 0.972316 0.443058i
\(697\) −20.4845 + 11.8267i −0.775904 + 0.447968i
\(698\) 3.83324 3.79255i 0.145090 0.143550i
\(699\) −38.0103 + 6.98616i −1.43768 + 0.264241i
\(700\) 0.151459 14.1935i 0.00572460 0.536464i
\(701\) −3.21893 3.21893i −0.121577 0.121577i 0.643700 0.765278i \(-0.277398\pi\)
−0.765278 + 0.643700i \(0.777398\pi\)
\(702\) 26.5736 + 25.7175i 1.00295 + 0.970644i
\(703\) 52.9552i 1.99724i
\(704\) −13.4761 + 3.15231i −0.507898 + 0.118807i
\(705\) −9.19122 + 13.3307i −0.346161 + 0.502062i
\(706\) 0.0446253 8.36410i 0.00167950 0.314787i
\(707\) 14.0358 + 3.76087i 0.527869 + 0.141442i
\(708\) 24.2493 + 17.1040i 0.911344 + 0.642807i
\(709\) −0.389561 + 0.104383i −0.0146303 + 0.00392017i −0.266127 0.963938i \(-0.585744\pi\)
0.251496 + 0.967858i \(0.419077\pi\)
\(710\) −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
\(714\) −2.56642 14.3949i −0.0960458 0.538716i
\(715\) 24.4583 + 6.55358i 0.914688 + 0.245090i
\(716\) 6.95295 + 27.1023i 0.259844 + 1.01286i
\(717\) −4.95612 5.82043i −0.185090 0.217368i
\(718\) −37.2907 + 21.2653i −1.39168 + 0.793615i
\(719\) −4.42409 −0.164991 −0.0824953 0.996591i \(-0.526289\pi\)
−0.0824953 + 0.996591i \(0.526289\pi\)
\(720\) −19.8220 28.7268i −0.738721 1.07058i
\(721\) 9.67554 0.360336
\(722\) 2.35954 1.34555i 0.0878128 0.0500760i
\(723\) −8.03836 + 22.5925i −0.298950 + 0.840223i
\(724\) 34.1862 8.77029i 1.27052 0.325945i
\(725\) 19.2268 + 5.15181i 0.714066 + 0.191333i
\(726\) 18.4433 + 6.67318i 0.684497 + 0.247665i
\(727\) 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
\(731\) 9.85796 2.64143i 0.364610 0.0976969i
\(732\) 3.79463 + 0.345127i 0.140253 + 0.0127563i
\(733\) 42.2183 + 11.3124i 1.55937 + 0.417831i 0.932463 0.361265i \(-0.117655\pi\)
0.626904 + 0.779096i \(0.284322\pi\)
\(734\) 0.213173 39.9549i 0.00786836 1.47476i
\(735\) 6.03384 + 12.6989i 0.222562 + 0.468407i
\(736\) 0.144895 5.43027i 0.00534089 0.200162i
\(737\) 16.7758i 0.617944i
\(738\) −5.67866 + 34.0196i −0.209034 + 1.25228i
\(739\) −4.26794 4.26794i −0.156999 0.156999i 0.624237 0.781235i \(-0.285410\pi\)
−0.781235 + 0.624237i \(0.785410\pi\)
\(740\) −67.3432 0.718618i −2.47558 0.0264169i
\(741\) 25.8468 + 30.3543i 0.949506 + 1.11509i
\(742\) −4.83413 + 4.78282i −0.177466 + 0.175583i
\(743\) −10.5668 + 6.10073i −0.387657 + 0.223814i −0.681145 0.732149i \(-0.738518\pi\)
0.293487 + 0.955963i \(0.405184\pi\)
\(744\) −34.9434 + 28.8025i −1.28109 + 1.05595i
\(745\) 34.6279 + 19.9924i 1.26867 + 0.732466i
\(746\) 2.00956 0.526986i 0.0735754 0.0192943i
\(747\) 26.5239 + 36.7369i 0.970457 + 1.34413i
\(748\) −9.69572 2.70917i −0.354510 0.0990570i
\(749\) −23.2053 + 6.21785i −0.847904 + 0.227195i
\(750\) −0.935881 + 10.9364i −0.0341735 + 0.399341i
\(751\) −12.1070 + 6.99000i −0.441792 + 0.255069i −0.704357 0.709846i \(-0.748765\pi\)
0.262566 + 0.964914i \(0.415431\pi\)
\(752\) 12.8540 + 0.274360i 0.468736 + 0.0100049i
\(753\) −11.0175 7.59635i −0.401501 0.276826i
\(754\) 20.2859 + 35.5732i 0.738770 + 1.29550i
\(755\) −7.32119 + 7.32119i −0.266445 + 0.266445i
\(756\) −18.5810 10.4561i −0.675785 0.380285i
\(757\) −0.365397 0.365397i −0.0132806 0.0132806i 0.700435 0.713716i \(-0.252989\pi\)
−0.713716 + 0.700435i \(0.752989\pi\)
\(758\) −2.05502 0.562408i −0.0746416 0.0204276i
\(759\) 1.63332 2.36892i 0.0592859 0.0859864i
\(760\) −18.2896 32.8829i −0.663432 1.19279i
\(761\) 2.63786 + 4.56890i 0.0956222 + 0.165623i 0.909868 0.414898i \(-0.136183\pi\)
−0.814246 + 0.580520i \(0.802849\pi\)
\(762\) −18.2749 + 15.3937i −0.662029 + 0.557655i
\(763\) −3.10949 11.6048i −0.112571 0.420122i
\(764\) 5.26833 + 9.35412i 0.190602 + 0.338420i
\(765\) −2.57839 25.2563i −0.0932220 0.913145i
\(766\) −14.1319 + 24.1783i −0.510606 + 0.873598i
\(767\) −21.5544 + 37.3333i −0.778285 + 1.34803i
\(768\) −10.3953 + 25.6893i −0.375108 + 0.926981i
\(769\) 18.6972 + 32.3845i 0.674238 + 1.16781i 0.976691 + 0.214650i \(0.0688610\pi\)
−0.302453 + 0.953164i \(0.597806\pi\)
\(770\) −14.5987 0.0778887i −0.526099 0.00280692i
\(771\) 5.31354 4.52450i 0.191363 0.162946i
\(772\) 10.7161 + 0.114351i 0.385681 + 0.00411560i
\(773\) 26.3255 26.3255i 0.946864 0.946864i −0.0517940 0.998658i