Properties

Label 731.2.z.a.611.1
Level 731
Weight 2
Character 731.611
Analytic conductor 5.837
Analytic rank 0
Dimension 768
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.z (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(768\)
Relative dimension: \(64\) over \(\Q(\zeta_{42})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 611.1
Character \(\chi\) = 731.611
Dual form 731.2.z.a.67.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.69621 - 2.12698i) q^{2} +(-0.339828 + 2.25461i) q^{3} +(-1.20187 + 5.26573i) q^{4} +(0.0789863 - 0.115852i) q^{5} +(5.37192 - 3.10148i) q^{6} +(-0.309020 - 0.178413i) q^{7} +(8.33653 - 4.01466i) q^{8} +(-2.10106 - 0.648091i) q^{9} +O(q^{10})\) \(q+(-1.69621 - 2.12698i) q^{2} +(-0.339828 + 2.25461i) q^{3} +(-1.20187 + 5.26573i) q^{4} +(0.0789863 - 0.115852i) q^{5} +(5.37192 - 3.10148i) q^{6} +(-0.309020 - 0.178413i) q^{7} +(8.33653 - 4.01466i) q^{8} +(-2.10106 - 0.648091i) q^{9} +(-0.380391 + 0.0285064i) q^{10} +(-3.60912 + 0.823758i) q^{11} +(-11.4637 - 4.49919i) q^{12} +(0.376466 - 5.02359i) q^{13} +(0.144682 + 0.959905i) q^{14} +(0.234358 + 0.217453i) q^{15} +(-12.9471 - 6.23497i) q^{16} +(-0.731478 - 4.05770i) q^{17} +(2.18536 + 5.56820i) q^{18} +(6.96983 - 2.14991i) q^{19} +(0.515113 + 0.555159i) q^{20} +(0.507265 - 0.636090i) q^{21} +(7.87393 + 6.27925i) q^{22} +(-4.15616 - 4.47928i) q^{23} +(6.21851 + 20.1599i) q^{24} +(1.81952 + 4.63607i) q^{25} +(-11.3236 + 7.72032i) q^{26} +(-0.792673 + 1.64600i) q^{27} +(1.31088 - 1.41279i) q^{28} +(0.915033 + 6.07085i) q^{29} +(0.0649967 - 0.867320i) q^{30} +(8.32384 + 3.26687i) q^{31} +(4.58134 + 20.0722i) q^{32} +(-0.630773 - 8.41709i) q^{33} +(-7.38990 + 8.43854i) q^{34} +(-0.0450778 + 0.0217083i) q^{35} +(5.93787 - 10.2847i) q^{36} +(6.18125 - 3.56874i) q^{37} +(-16.3951 - 11.1780i) q^{38} +(11.1983 + 2.55594i) q^{39} +(0.193367 - 1.28290i) q^{40} +(3.91499 - 3.12210i) q^{41} -2.21338 q^{42} +(6.39212 - 1.46313i) q^{43} -19.9947i q^{44} +(-0.241037 + 0.192221i) q^{45} +(-2.47761 + 16.4378i) q^{46} +(-1.53957 + 6.74531i) q^{47} +(18.4572 - 27.0717i) q^{48} +(-3.43634 - 5.95191i) q^{49} +(6.77452 - 11.7338i) q^{50} +(9.39711 - 0.270278i) q^{51} +(26.0004 + 8.02007i) q^{52} +(0.152400 + 2.03364i) q^{53} +(4.84555 - 1.10596i) q^{54} +(-0.189637 + 0.483188i) q^{55} +(-3.29243 - 0.246733i) q^{56} +(2.47866 + 16.4448i) q^{57} +(11.3605 - 12.2437i) q^{58} +(2.69082 + 1.29583i) q^{59} +(-1.42672 + 0.972719i) q^{60} +(-6.59561 + 2.58859i) q^{61} +(-7.17041 - 23.2459i) q^{62} +(0.533642 + 0.575130i) q^{63} +(17.0028 - 21.3209i) q^{64} +(-0.552255 - 0.440409i) q^{65} +(-16.8330 + 15.6188i) q^{66} +(2.95737 - 0.912226i) q^{67} +(22.2459 + 1.02506i) q^{68} +(11.5114 - 7.84834i) q^{69} +(0.122634 + 0.0590577i) q^{70} +(4.67783 - 5.04150i) q^{71} +(-20.1174 + 3.03221i) q^{72} +(-5.47629 - 0.410392i) q^{73} +(-18.0753 - 7.09404i) q^{74} +(-11.0708 + 2.52685i) q^{75} +(2.94402 + 39.2852i) q^{76} +(1.26226 + 0.389356i) q^{77} +(-13.5582 - 28.1539i) q^{78} +(8.56665 + 4.94596i) q^{79} +(-1.74497 + 1.00746i) q^{80} +(-8.89178 - 6.06231i) q^{81} +(-13.2813 - 3.03137i) q^{82} +(1.14405 + 0.172438i) q^{83} +(2.73982 + 3.43562i) q^{84} +(-0.527868 - 0.235760i) q^{85} +(-13.9544 - 11.1141i) q^{86} -13.9983 q^{87} +(-26.7804 + 21.3567i) q^{88} +(-0.00618332 - 0.000931985i) q^{89} +(0.817699 + 0.186634i) q^{90} +(-1.01261 + 1.48523i) q^{91} +(28.5819 - 16.5017i) q^{92} +(-10.1942 + 17.6568i) q^{93} +(16.9586 - 8.16681i) q^{94} +(0.301451 - 0.977280i) q^{95} +(-46.8117 + 3.50805i) q^{96} +(2.14843 - 0.490364i) q^{97} +(-6.83084 + 17.4047i) q^{98} +(8.11684 + 0.608273i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} + O(q^{10}) \) \( 768q - 24q^{2} - 144q^{4} - 16q^{8} - 98q^{9} - 18q^{13} - 30q^{15} - 160q^{16} - 16q^{17} - 54q^{18} - 68q^{19} - 50q^{21} - 88q^{25} - 26q^{26} - 50q^{32} - 36q^{33} - 38q^{34} + 14q^{35} + 328q^{36} - 44q^{38} - 148q^{42} + 102q^{43} - 64q^{47} + 298q^{49} + 40q^{50} - 31q^{51} - 38q^{52} - 28q^{53} - 80q^{55} - 16q^{59} - 34q^{60} - 64q^{64} - 126q^{66} + 74q^{67} - 132q^{68} - 28q^{69} + 50q^{70} + 26q^{72} - 258q^{76} - 112q^{77} + 90q^{81} + 48q^{83} - 298q^{84} + 36q^{85} + 142q^{86} + 192q^{87} - 120q^{89} - 188q^{93} + 64q^{94} + 146q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.69621 2.12698i −1.19940 1.50400i −0.813608 0.581414i \(-0.802500\pi\)
−0.385792 0.922586i \(-0.626072\pi\)
\(3\) −0.339828 + 2.25461i −0.196200 + 1.30170i 0.646334 + 0.763055i \(0.276301\pi\)
−0.842533 + 0.538644i \(0.818937\pi\)
\(4\) −1.20187 + 5.26573i −0.600935 + 2.63287i
\(5\) 0.0789863 0.115852i 0.0353238 0.0518104i −0.808171 0.588948i \(-0.799542\pi\)
0.843494 + 0.537138i \(0.180495\pi\)
\(6\) 5.37192 3.10148i 2.19308 1.26617i
\(7\) −0.309020 0.178413i −0.116799 0.0674338i 0.440463 0.897771i \(-0.354814\pi\)
−0.557261 + 0.830337i \(0.688148\pi\)
\(8\) 8.33653 4.01466i 2.94741 1.41940i
\(9\) −2.10106 0.648091i −0.700353 0.216030i
\(10\) −0.380391 + 0.0285064i −0.120290 + 0.00901450i
\(11\) −3.60912 + 0.823758i −1.08819 + 0.248372i −0.728739 0.684792i \(-0.759893\pi\)
−0.359451 + 0.933164i \(0.617036\pi\)
\(12\) −11.4637 4.49919i −3.30930 1.29880i
\(13\) 0.376466 5.02359i 0.104413 1.39329i −0.661305 0.750117i \(-0.729997\pi\)
0.765718 0.643176i \(-0.222384\pi\)
\(14\) 0.144682 + 0.959905i 0.0386680 + 0.256545i
\(15\) 0.234358 + 0.217453i 0.0605111 + 0.0561461i
\(16\) −12.9471 6.23497i −3.23676 1.55874i
\(17\) −0.731478 4.05770i −0.177410 0.984137i
\(18\) 2.18536 + 5.56820i 0.515094 + 1.31244i
\(19\) 6.96983 2.14991i 1.59899 0.493223i 0.638053 0.769992i \(-0.279740\pi\)
0.960936 + 0.276770i \(0.0892639\pi\)
\(20\) 0.515113 + 0.555159i 0.115183 + 0.124137i
\(21\) 0.507265 0.636090i 0.110694 0.138806i
\(22\) 7.87393 + 6.27925i 1.67873 + 1.33874i
\(23\) −4.15616 4.47928i −0.866620 0.933994i 0.131738 0.991285i \(-0.457944\pi\)
−0.998358 + 0.0572906i \(0.981754\pi\)
\(24\) 6.21851 + 20.1599i 1.26935 + 4.11513i
\(25\) 1.81952 + 4.63607i 0.363904 + 0.927213i
\(26\) −11.3236 + 7.72032i −2.22075 + 1.51408i
\(27\) −0.792673 + 1.64600i −0.152550 + 0.316773i
\(28\) 1.31088 1.41279i 0.247733 0.266992i
\(29\) 0.915033 + 6.07085i 0.169917 + 1.12733i 0.897405 + 0.441207i \(0.145450\pi\)
−0.727488 + 0.686121i \(0.759312\pi\)
\(30\) 0.0649967 0.867320i 0.0118667 0.158350i
\(31\) 8.32384 + 3.26687i 1.49501 + 0.586746i 0.965232 0.261393i \(-0.0841818\pi\)
0.529773 + 0.848139i \(0.322277\pi\)
\(32\) 4.58134 + 20.0722i 0.809874 + 3.54829i
\(33\) −0.630773 8.41709i −0.109804 1.46523i
\(34\) −7.38990 + 8.43854i −1.26736 + 1.44720i
\(35\) −0.0450778 + 0.0217083i −0.00761954 + 0.00366938i
\(36\) 5.93787 10.2847i 0.989646 1.71412i
\(37\) 6.18125 3.56874i 1.01619 0.586698i 0.103192 0.994661i \(-0.467094\pi\)
0.912998 + 0.407963i \(0.133761\pi\)
\(38\) −16.3951 11.1780i −2.65963 1.81331i
\(39\) 11.1983 + 2.55594i 1.79316 + 0.409278i
\(40\) 0.193367 1.28290i 0.0305740 0.202845i
\(41\) 3.91499 3.12210i 0.611419 0.487590i −0.268140 0.963380i \(-0.586409\pi\)
0.879559 + 0.475790i \(0.157838\pi\)
\(42\) −2.21338 −0.341531
\(43\) 6.39212 1.46313i 0.974790 0.223125i
\(44\) 19.9947i 3.01432i
\(45\) −0.241037 + 0.192221i −0.0359317 + 0.0286546i
\(46\) −2.47761 + 16.4378i −0.365303 + 2.42363i
\(47\) −1.53957 + 6.74531i −0.224570 + 0.983904i 0.729420 + 0.684066i \(0.239790\pi\)
−0.953990 + 0.299838i \(0.903067\pi\)
\(48\) 18.4572 27.0717i 2.66407 3.90747i
\(49\) −3.43634 5.95191i −0.490905 0.850273i
\(50\) 6.77452 11.7338i 0.958062 1.65941i
\(51\) 9.39711 0.270278i 1.31586 0.0378465i
\(52\) 26.0004 + 8.02007i 3.60561 + 1.11218i
\(53\) 0.152400 + 2.03364i 0.0209338 + 0.279342i 0.997841 + 0.0656776i \(0.0209209\pi\)
−0.976907 + 0.213665i \(0.931460\pi\)
\(54\) 4.84555 1.10596i 0.659396 0.150503i
\(55\) −0.189637 + 0.483188i −0.0255707 + 0.0651530i
\(56\) −3.29243 0.246733i −0.439969 0.0329711i
\(57\) 2.47866 + 16.4448i 0.328307 + 2.17817i
\(58\) 11.3605 12.2437i 1.49170 1.60767i
\(59\) 2.69082 + 1.29583i 0.350314 + 0.168703i 0.600763 0.799427i \(-0.294864\pi\)
−0.250448 + 0.968130i \(0.580578\pi\)
\(60\) −1.42672 + 0.972719i −0.184188 + 0.125577i
\(61\) −6.59561 + 2.58859i −0.844482 + 0.331435i −0.747835 0.663884i \(-0.768907\pi\)
−0.0966462 + 0.995319i \(0.530812\pi\)
\(62\) −7.17041 23.2459i −0.910643 2.95223i
\(63\) 0.533642 + 0.575130i 0.0672326 + 0.0724595i
\(64\) 17.0028 21.3209i 2.12535 2.66511i
\(65\) −0.552255 0.440409i −0.0684989 0.0546260i
\(66\) −16.8330 + 15.6188i −2.07200 + 1.92254i
\(67\) 2.95737 0.912226i 0.361300 0.111446i −0.108790 0.994065i \(-0.534698\pi\)
0.470090 + 0.882619i \(0.344221\pi\)
\(68\) 22.2459 + 1.02506i 2.69771 + 0.124307i
\(69\) 11.5114 7.84834i 1.38581 0.944829i
\(70\) 0.122634 + 0.0590577i 0.0146576 + 0.00705874i
\(71\) 4.67783 5.04150i 0.555156 0.598316i −0.391653 0.920113i \(-0.628096\pi\)
0.946809 + 0.321797i \(0.104287\pi\)
\(72\) −20.1174 + 3.03221i −2.37086 + 0.357350i
\(73\) −5.47629 0.410392i −0.640952 0.0480327i −0.249710 0.968321i \(-0.580335\pi\)
−0.391242 + 0.920288i \(0.627954\pi\)
\(74\) −18.0753 7.09404i −2.10121 0.824665i
\(75\) −11.0708 + 2.52685i −1.27835 + 0.291775i
\(76\) 2.94402 + 39.2852i 0.337702 + 4.50632i
\(77\) 1.26226 + 0.389356i 0.143848 + 0.0443712i
\(78\) −13.5582 28.1539i −1.53517 3.18780i
\(79\) 8.56665 + 4.94596i 0.963824 + 0.556464i 0.897348 0.441324i \(-0.145491\pi\)
0.0664760 + 0.997788i \(0.478824\pi\)
\(80\) −1.74497 + 1.00746i −0.195094 + 0.112637i
\(81\) −8.89178 6.06231i −0.987976 0.673590i
\(82\) −13.2813 3.03137i −1.46667 0.334758i
\(83\) 1.14405 + 0.172438i 0.125576 + 0.0189275i 0.211529 0.977372i \(-0.432156\pi\)
−0.0859535 + 0.996299i \(0.527394\pi\)
\(84\) 2.73982 + 3.43562i 0.298938 + 0.374857i
\(85\) −0.527868 0.235760i −0.0572553 0.0255718i
\(86\) −13.9544 11.1141i −1.50474 1.19847i
\(87\) −13.9983 −1.50078
\(88\) −26.7804 + 21.3567i −2.85480 + 2.27663i
\(89\) −0.00618332 0.000931985i −0.000655430 9.87902e-5i 0.148715 0.988880i \(-0.452486\pi\)
−0.149370 + 0.988781i \(0.547725\pi\)
\(90\) 0.817699 + 0.186634i 0.0861930 + 0.0196730i
\(91\) −1.01261 + 1.48523i −0.106150 + 0.155694i
\(92\) 28.5819 16.5017i 2.97986 1.72043i
\(93\) −10.1942 + 17.6568i −1.05709 + 1.83093i
\(94\) 16.9586 8.16681i 1.74914 0.842342i
\(95\) 0.301451 0.977280i 0.0309282 0.100267i
\(96\) −46.8117 + 3.50805i −4.77770 + 0.358039i
\(97\) 2.14843 0.490364i 0.218140 0.0497889i −0.112054 0.993702i \(-0.535743\pi\)
0.330194 + 0.943913i \(0.392886\pi\)
\(98\) −6.83084 + 17.4047i −0.690019 + 1.75814i
\(99\) 8.11684 + 0.608273i 0.815773 + 0.0611338i
\(100\) −26.5991 + 4.00917i −2.65991 + 0.400917i
\(101\) −0.391582 0.363335i −0.0389638 0.0361531i 0.660451 0.750870i \(-0.270365\pi\)
−0.699414 + 0.714716i \(0.746556\pi\)
\(102\) −16.5143 19.5290i −1.63516 1.93366i
\(103\) 2.09547 1.42867i 0.206473 0.140771i −0.455669 0.890149i \(-0.650600\pi\)
0.662142 + 0.749378i \(0.269648\pi\)
\(104\) −17.0296 43.3907i −1.66989 4.25481i
\(105\) −0.0336251 0.109010i −0.00328148 0.0106383i
\(106\) 4.06701 3.77363i 0.395023 0.366527i
\(107\) 11.0566 + 8.81735i 1.06888 + 0.852405i 0.989514 0.144440i \(-0.0461380\pi\)
0.0793690 + 0.996845i \(0.474709\pi\)
\(108\) −7.71472 6.15229i −0.742350 0.592004i
\(109\) 4.06261 + 4.37845i 0.389127 + 0.419379i 0.896985 0.442062i \(-0.145753\pi\)
−0.507857 + 0.861441i \(0.669562\pi\)
\(110\) 1.34939 0.416233i 0.128660 0.0396862i
\(111\) 5.94556 + 15.1490i 0.564328 + 1.43788i
\(112\) 2.88850 + 4.23666i 0.272938 + 0.400326i
\(113\) 6.23250 12.9419i 0.586304 1.21747i −0.371065 0.928607i \(-0.621007\pi\)
0.957369 0.288866i \(-0.0932783\pi\)
\(114\) 30.7735 33.1659i 2.88220 3.10627i
\(115\) −0.847212 + 0.127697i −0.0790029 + 0.0119078i
\(116\) −33.0672 2.47805i −3.07021 0.230081i
\(117\) −4.04672 + 10.3109i −0.374119 + 0.953241i
\(118\) −1.80798 7.92130i −0.166438 0.729215i
\(119\) −0.497905 + 1.38442i −0.0456429 + 0.126909i
\(120\) 2.82674 + 0.871933i 0.258045 + 0.0795962i
\(121\) 2.43650 1.17336i 0.221500 0.106669i
\(122\) 16.6934 + 9.63793i 1.51135 + 0.872578i
\(123\) 5.70870 + 9.88775i 0.514736 + 0.891549i
\(124\) −27.2066 + 39.9048i −2.44323 + 3.58355i
\(125\) 1.36431 + 0.311396i 0.122028 + 0.0278521i
\(126\) 0.318119 2.11058i 0.0283403 0.188026i
\(127\) −0.503188 0.630977i −0.0446507 0.0559902i 0.759005 0.651085i \(-0.225686\pi\)
−0.803655 + 0.595095i \(0.797114\pi\)
\(128\) −33.0127 −2.91794
\(129\) 1.12656 + 14.9090i 0.0991884 + 1.31266i
\(130\) 1.92166i 0.168541i
\(131\) 0.128801 0.102716i 0.0112534 0.00897431i −0.617847 0.786298i \(-0.711995\pi\)
0.629100 + 0.777324i \(0.283423\pi\)
\(132\) 45.0802 + 6.79475i 3.92373 + 0.591407i
\(133\) −2.53739 0.579143i −0.220020 0.0502181i
\(134\) −6.95659 4.74292i −0.600958 0.409726i
\(135\) 0.128082 + 0.221844i 0.0110235 + 0.0190933i
\(136\) −22.3883 30.8905i −1.91978 2.64884i
\(137\) 16.9906 8.18225i 1.45161 0.699057i 0.468733 0.883340i \(-0.344711\pi\)
0.982873 + 0.184283i \(0.0589964\pi\)
\(138\) −36.2190 11.1721i −3.08316 0.951030i
\(139\) 3.07109 0.230147i 0.260487 0.0195208i 0.0561535 0.998422i \(-0.482116\pi\)
0.204333 + 0.978901i \(0.434497\pi\)
\(140\) −0.0601327 0.263458i −0.00508214 0.0222663i
\(141\) −14.6848 5.76338i −1.23669 0.485364i
\(142\) −18.6577 1.39820i −1.56572 0.117335i
\(143\) 2.77951 + 18.4408i 0.232434 + 1.54210i
\(144\) 23.1617 + 21.4909i 1.93014 + 1.79091i
\(145\) 0.775593 + 0.373506i 0.0644095 + 0.0310180i
\(146\) 8.41604 + 12.3441i 0.696516 + 1.02160i
\(147\) 14.5870 5.72497i 1.20311 0.472188i
\(148\) 11.3630 + 36.8380i 0.934033 + 3.02806i
\(149\) 16.9676 15.7436i 1.39004 1.28977i 0.478783 0.877933i \(-0.341078\pi\)
0.911258 0.411837i \(-0.135113\pi\)
\(150\) 24.1530 + 19.2614i 1.97208 + 1.57268i
\(151\) 3.43227 4.30394i 0.279315 0.350249i −0.622308 0.782772i \(-0.713805\pi\)
0.901623 + 0.432523i \(0.142376\pi\)
\(152\) 49.4731 45.9043i 4.01280 3.72333i
\(153\) −1.09288 + 8.99954i −0.0883542 + 0.727569i
\(154\) −1.31290 3.34523i −0.105797 0.269566i
\(155\) 1.03594 0.706293i 0.0832088 0.0567308i
\(156\) −26.9178 + 55.8953i −2.15515 + 4.47521i
\(157\) −10.0424 9.31802i −0.801474 0.743659i 0.168805 0.985649i \(-0.446009\pi\)
−0.970279 + 0.241990i \(0.922200\pi\)
\(158\) −4.01088 26.6104i −0.319088 2.11701i
\(159\) −4.63686 0.347484i −0.367727 0.0275573i
\(160\) 2.68725 + 1.05467i 0.212446 + 0.0833790i
\(161\) 0.485178 + 2.12570i 0.0382373 + 0.167529i
\(162\) 2.18790 + 29.1956i 0.171898 + 2.29382i
\(163\) 4.93622 16.0028i 0.386635 1.25344i −0.528030 0.849226i \(-0.677069\pi\)
0.914665 0.404213i \(-0.132455\pi\)
\(164\) 11.7348 + 24.3677i 0.916338 + 1.90280i
\(165\) −1.02496 0.591758i −0.0797927 0.0460683i
\(166\) −1.57378 2.72586i −0.122149 0.211568i
\(167\) 4.87102 7.14447i 0.376931 0.552856i −0.590161 0.807286i \(-0.700936\pi\)
0.967091 + 0.254430i \(0.0818879\pi\)
\(168\) 1.67514 7.33929i 0.129240 0.566238i
\(169\) −12.2399 1.84487i −0.941533 0.141913i
\(170\) 0.393918 + 1.52266i 0.0302121 + 0.116783i
\(171\) −16.0374 −1.22641
\(172\) 0.0219514 + 35.4177i 0.00167378 + 2.70058i
\(173\) 23.2933i 1.77096i −0.464682 0.885478i \(-0.653831\pi\)
0.464682 0.885478i \(-0.346169\pi\)
\(174\) 23.7441 + 29.7741i 1.80003 + 2.25717i
\(175\) 0.264865 1.75727i 0.0200219 0.132837i
\(176\) 51.8635 + 11.8375i 3.90936 + 0.892286i
\(177\) −3.83600 + 5.62638i −0.288331 + 0.422905i
\(178\) 0.00850588 + 0.0147326i 0.000637543 + 0.00110426i
\(179\) −6.14412 + 10.6419i −0.459233 + 0.795415i −0.998921 0.0464501i \(-0.985209\pi\)
0.539687 + 0.841866i \(0.318542\pi\)
\(180\) −0.722489 1.50026i −0.0538511 0.111823i
\(181\) −2.63475 + 8.54165i −0.195840 + 0.634896i 0.803383 + 0.595463i \(0.203031\pi\)
−0.999222 + 0.0394331i \(0.987445\pi\)
\(182\) 4.87664 0.365453i 0.361480 0.0270892i
\(183\) −3.59488 15.7502i −0.265741 1.16429i
\(184\) −52.6308 20.6561i −3.87999 1.52278i
\(185\) 0.0747890 0.997989i 0.00549859 0.0733736i
\(186\) 54.8471 8.26687i 4.02159 0.606156i
\(187\) 5.98255 + 14.0422i 0.437488 + 1.02686i
\(188\) −33.6686 16.2140i −2.45554 1.18252i
\(189\) 0.538621 0.367225i 0.0391789 0.0267117i
\(190\) −2.58998 + 1.01649i −0.187897 + 0.0737440i
\(191\) −14.6643 + 4.52334i −1.06107 + 0.327298i −0.775689 0.631116i \(-0.782597\pi\)
−0.285384 + 0.958413i \(0.592121\pi\)
\(192\) 42.2922 + 45.5802i 3.05218 + 3.28947i
\(193\) 16.5273 + 13.1801i 1.18966 + 0.948722i 0.999455 0.0330224i \(-0.0105133\pi\)
0.190205 + 0.981744i \(0.439085\pi\)
\(194\) −4.68717 3.73789i −0.336519 0.268365i
\(195\) 1.18062 1.09546i 0.0845461 0.0784473i
\(196\) 35.4712 10.9414i 2.53366 0.781530i
\(197\) −17.6274 + 6.91825i −1.25590 + 0.492905i −0.897646 0.440718i \(-0.854724\pi\)
−0.358256 + 0.933623i \(0.616629\pi\)
\(198\) −12.4741 18.2961i −0.886493 1.30025i
\(199\) −1.58942 + 3.30047i −0.112671 + 0.233964i −0.949678 0.313229i \(-0.898589\pi\)
0.837006 + 0.547193i \(0.184304\pi\)
\(200\) 33.7808 + 31.3440i 2.38866 + 2.21635i
\(201\) 1.05172 + 6.97770i 0.0741826 + 0.492169i
\(202\) −0.108601 + 1.44918i −0.00764112 + 0.101964i
\(203\) 0.800354 2.03927i 0.0561739 0.143129i
\(204\) −9.87088 + 49.8075i −0.691100 + 3.48722i
\(205\) −0.0524699 0.700162i −0.00366465 0.0489014i
\(206\) −6.59310 2.03370i −0.459363 0.141695i
\(207\) 5.82936 + 12.1048i 0.405169 + 0.841342i
\(208\) −36.1961 + 62.6934i −2.50975 + 4.34701i
\(209\) −23.3839 + 13.5007i −1.61750 + 0.933865i
\(210\) −0.174826 + 0.256423i −0.0120642 + 0.0176949i
\(211\) 17.5270 + 4.00042i 1.20661 + 0.275400i 0.778102 0.628138i \(-0.216183\pi\)
0.428507 + 0.903539i \(0.359040\pi\)
\(212\) −10.8918 1.64167i −0.748051 0.112750i
\(213\) 9.77695 + 12.2599i 0.669906 + 0.840035i
\(214\) 38.4732i 2.62997i
\(215\) 0.335384 0.856105i 0.0228730 0.0583859i
\(216\) 16.9043i 1.15019i
\(217\) −1.98938 2.49461i −0.135048 0.169345i
\(218\) 2.42184 16.0678i 0.164027 1.08825i
\(219\) 2.78627 12.2074i 0.188279 0.824902i
\(220\) −2.31642 1.57931i −0.156173 0.106477i
\(221\) −20.6596 + 2.14706i −1.38972 + 0.144427i
\(222\) 22.1368 38.3420i 1.48572 2.57335i
\(223\) −3.70354 + 1.78353i −0.248007 + 0.119434i −0.553758 0.832678i \(-0.686807\pi\)
0.305751 + 0.952112i \(0.401093\pi\)
\(224\) 2.16541 7.02007i 0.144682 0.469048i
\(225\) −0.818331 10.9199i −0.0545554 0.727991i
\(226\) −38.0988 + 8.69580i −2.53429 + 0.578436i
\(227\) −7.99202 3.13664i −0.530449 0.208186i 0.0849736 0.996383i \(-0.472919\pi\)
−0.615423 + 0.788197i \(0.711015\pi\)
\(228\) −89.5732 6.71258i −5.93213 0.444552i
\(229\) 0.782579 0.117955i 0.0517143 0.00779467i −0.123134 0.992390i \(-0.539295\pi\)
0.174848 + 0.984595i \(0.444056\pi\)
\(230\) 1.70865 + 1.58540i 0.112665 + 0.104538i
\(231\) −1.30680 + 2.71359i −0.0859808 + 0.178541i
\(232\) 32.0006 + 46.9363i 2.10094 + 3.08152i
\(233\) −9.28551 + 3.64429i −0.608314 + 0.238746i −0.649445 0.760408i \(-0.724999\pi\)
0.0411317 + 0.999154i \(0.486904\pi\)
\(234\) 28.7951 8.88211i 1.88239 0.580641i
\(235\) 0.659850 + 0.711149i 0.0430439 + 0.0463902i
\(236\) −10.0575 + 12.6117i −0.654687 + 0.820952i
\(237\) −14.0624 + 17.6337i −0.913450 + 1.14543i
\(238\) 3.78918 1.28923i 0.245616 0.0835682i
\(239\) −18.4588 + 5.69378i −1.19400 + 0.368300i −0.827150 0.561981i \(-0.810039\pi\)
−0.366848 + 0.930281i \(0.619563\pi\)
\(240\) −1.67844 4.27659i −0.108343 0.276053i
\(241\) −16.8354 24.6930i −1.08446 1.59062i −0.766184 0.642622i \(-0.777847\pi\)
−0.318281 0.947996i \(-0.603106\pi\)
\(242\) −6.62852 3.19212i −0.426097 0.205198i
\(243\) 12.9619 13.9697i 0.831509 0.896154i
\(244\) −5.70375 37.8419i −0.365145 2.42258i
\(245\) −0.960962 0.0720142i −0.0613936 0.00460082i
\(246\) 11.3479 28.9139i 0.723515 1.84349i
\(247\) −8.17635 35.8229i −0.520249 2.27936i
\(248\) 82.5073 6.18307i 5.23922 0.392625i
\(249\) −0.777561 + 2.52079i −0.0492759 + 0.159749i
\(250\) −1.65183 3.43006i −0.104471 0.216936i
\(251\) 5.43588 9.41522i 0.343110 0.594284i −0.641899 0.766789i \(-0.721853\pi\)
0.985008 + 0.172506i \(0.0551864\pi\)
\(252\) −3.66985 + 2.11879i −0.231179 + 0.133471i
\(253\) 18.6899 + 12.7426i 1.17503 + 0.801119i
\(254\) −0.488564 + 2.14054i −0.0306552 + 0.134309i
\(255\) 0.710931 1.11002i 0.0445202 0.0695120i
\(256\) 21.9907 + 27.5754i 1.37442 + 1.72347i
\(257\) 18.1398 1.13153 0.565763 0.824568i \(-0.308582\pi\)
0.565763 + 0.824568i \(0.308582\pi\)
\(258\) 29.8001 27.6849i 1.85527 1.72358i
\(259\) −2.54684 −0.158253
\(260\) 2.98282 2.37872i 0.184986 0.147522i
\(261\) 2.01192 13.3482i 0.124535 0.826235i
\(262\) −0.436948 0.0997305i −0.0269947 0.00616137i
\(263\) 5.17075 + 3.52536i 0.318842 + 0.217383i 0.712156 0.702022i \(-0.247719\pi\)
−0.393314 + 0.919404i \(0.628671\pi\)
\(264\) −39.0502 67.6370i −2.40338 4.16277i
\(265\) 0.247638 + 0.142974i 0.0152123 + 0.00878282i
\(266\) 3.07212 + 6.37932i 0.188364 + 0.391141i
\(267\) 0.00420252 0.0136242i 0.000257190 0.000833790i
\(268\) 1.24917 + 16.6691i 0.0763055 + 1.01823i
\(269\) 6.65801 1.51965i 0.405946 0.0926545i −0.0146721 0.999892i \(-0.504670\pi\)
0.420618 + 0.907238i \(0.361813\pi\)
\(270\) 0.254604 0.648721i 0.0154947 0.0394799i
\(271\) −1.52616 + 20.3651i −0.0927073 + 1.23709i 0.735833 + 0.677163i \(0.236791\pi\)
−0.828540 + 0.559930i \(0.810828\pi\)
\(272\) −15.8292 + 57.0960i −0.959784 + 3.46195i
\(273\) −3.00449 2.78776i −0.181840 0.168723i
\(274\) −46.2231 22.2599i −2.79244 1.34477i
\(275\) −10.3859 15.2333i −0.626291 0.918601i
\(276\) 27.4921 + 70.0486i 1.65483 + 4.21643i
\(277\) 0.523643 + 1.69761i 0.0314627 + 0.101999i 0.969942 0.243335i \(-0.0782416\pi\)
−0.938480 + 0.345335i \(0.887765\pi\)
\(278\) −5.69873 6.14177i −0.341787 0.368359i
\(279\) −15.3717 12.2585i −0.920277 0.733896i
\(280\) −0.288641 + 0.361945i −0.0172496 + 0.0216303i
\(281\) −10.9771 + 10.1852i −0.654837 + 0.607600i −0.935975 0.352067i \(-0.885479\pi\)
0.281137 + 0.959668i \(0.409288\pi\)
\(282\) 12.6500 + 41.0102i 0.753295 + 2.44212i
\(283\) 20.8273 8.17411i 1.23805 0.485900i 0.346173 0.938171i \(-0.387481\pi\)
0.891881 + 0.452270i \(0.149386\pi\)
\(284\) 20.9251 + 30.6914i 1.24167 + 1.82120i
\(285\) 2.10094 + 1.01176i 0.124449 + 0.0599315i
\(286\) 34.5086 37.1915i 2.04054 2.19918i
\(287\) −1.76684 + 0.266308i −0.104293 + 0.0157196i
\(288\) 3.38292 45.1419i 0.199340 2.66001i
\(289\) −15.9299 + 5.93624i −0.937052 + 0.349191i
\(290\) −0.521128 2.28321i −0.0306017 0.134075i
\(291\) 0.375485 + 5.01050i 0.0220113 + 0.293721i
\(292\) 8.74280 28.3435i 0.511634 1.65868i
\(293\) −6.60733 + 3.18192i −0.386004 + 0.185890i −0.616814 0.787109i \(-0.711577\pi\)
0.230809 + 0.972999i \(0.425863\pi\)
\(294\) −36.9195 21.3155i −2.15319 1.24314i
\(295\) 0.362662 0.209383i 0.0211150 0.0121907i
\(296\) 37.2029 54.5666i 2.16237 3.17162i
\(297\) 1.50494 6.59359i 0.0873257 0.382599i
\(298\) −62.2670 9.38524i −3.60703 0.543672i
\(299\) −24.0667 + 19.1926i −1.39181 + 1.10993i
\(300\) 61.3331i 3.54107i
\(301\) −2.23634 0.688301i −0.128900 0.0396730i
\(302\) −14.9762 −0.861785
\(303\) 0.952248 0.759392i 0.0547052 0.0436259i
\(304\) −103.643 15.6217i −5.94436 0.895968i
\(305\) −0.221071 + 0.968575i −0.0126585 + 0.0554605i
\(306\) 20.9956 12.9405i 1.20024 0.739762i
\(307\) 5.88195 + 10.1878i 0.335701 + 0.581451i 0.983619 0.180259i \(-0.0576936\pi\)
−0.647918 + 0.761710i \(0.724360\pi\)
\(308\) −3.56732 + 6.17877i −0.203267 + 0.352068i
\(309\) 2.50899 + 5.20997i 0.142731 + 0.296385i
\(310\) −3.25944 1.00540i −0.185124 0.0571031i
\(311\) 5.03394 0.377242i 0.285449 0.0213914i 0.0687636 0.997633i \(-0.478095\pi\)
0.216685 + 0.976242i \(0.430476\pi\)
\(312\) 103.616 23.6497i 5.86611 1.33890i
\(313\) −16.0628 6.30420i −0.907925 0.356334i −0.135010 0.990844i \(-0.543107\pi\)
−0.772915 + 0.634510i \(0.781202\pi\)
\(314\) −2.78516 + 37.1653i −0.157175 + 2.09736i
\(315\) 0.108780 0.0163960i 0.00612907 0.000923808i
\(316\) −36.3401 + 39.1653i −2.04429 + 2.20322i
\(317\) −7.14292 + 14.8324i −0.401186 + 0.833072i 0.598308 + 0.801266i \(0.295840\pi\)
−0.999494 + 0.0318054i \(0.989874\pi\)
\(318\) 7.12598 + 10.4519i 0.399605 + 0.586113i
\(319\) −8.30337 21.1566i −0.464899 1.18454i
\(320\) −1.12707 3.65386i −0.0630050 0.204257i
\(321\) −23.6370 + 21.9319i −1.31929 + 1.22412i
\(322\) 3.69836 4.63759i 0.206101 0.258443i
\(323\) −13.8220 26.7089i −0.769075 1.48612i
\(324\) 42.6093 39.5356i 2.36718 2.19642i
\(325\) 23.9747 7.39521i 1.32988 0.410213i
\(326\) −42.4105 + 16.6449i −2.34890 + 0.921876i
\(327\) −11.2523 + 7.67167i −0.622252 + 0.424244i
\(328\) 20.1033 41.7449i 1.11002 2.30498i
\(329\) 1.67921 1.80976i 0.0925779 0.0997752i
\(330\) 0.479881 + 3.18380i 0.0264166 + 0.175263i
\(331\) 0.503002 6.71209i 0.0276475 0.368930i −0.966170 0.257905i \(-0.916968\pi\)
0.993818 0.111025i \(-0.0354132\pi\)
\(332\) −2.28301 + 5.81702i −0.125297 + 0.319251i
\(333\) −15.3000 + 3.49213i −0.838437 + 0.191368i
\(334\) −23.4584 + 1.75796i −1.28359 + 0.0961914i
\(335\) 0.127908 0.414669i 0.00698839 0.0226558i
\(336\) −10.5336 + 5.07271i −0.574655 + 0.276739i
\(337\) 5.02488 + 2.90111i 0.273722 + 0.158034i 0.630578 0.776126i \(-0.282818\pi\)
−0.356856 + 0.934160i \(0.616151\pi\)
\(338\) 16.8375 + 29.1633i 0.915837 + 1.58628i
\(339\) 27.0610 + 18.4499i 1.46975 + 1.00206i
\(340\) 1.87588 2.49626i 0.101734 0.135379i
\(341\) −32.7328 4.93368i −1.77258 0.267174i
\(342\) 27.2027 + 34.1111i 1.47095 + 1.84452i
\(343\) 4.95013i 0.267282i
\(344\) 47.4142 37.8597i 2.55640 2.04126i
\(345\) 1.95353i 0.105174i
\(346\) −49.5443 + 39.5102i −2.66352 + 2.12408i
\(347\) 0.848463 5.62919i 0.0455479 0.302191i −0.954445 0.298387i \(-0.903551\pi\)
0.999993 0.00380325i \(-0.00121062\pi\)
\(348\) 16.8242 73.7115i 0.901870 3.95135i
\(349\) −18.8529 12.8537i −1.00917 0.688042i −0.0585154 0.998287i \(-0.518637\pi\)
−0.950657 + 0.310245i \(0.899589\pi\)
\(350\) −4.18693 + 2.41733i −0.223801 + 0.129211i
\(351\) 7.97043 + 4.60173i 0.425430 + 0.245622i
\(352\) −33.0692 68.6689i −1.76259 3.66006i
\(353\) 27.9758 + 8.62940i 1.48900 + 0.459297i 0.929278 0.369382i \(-0.120430\pi\)
0.559725 + 0.828678i \(0.310907\pi\)
\(354\) 18.4738 1.38442i 0.981873 0.0735812i
\(355\) −0.214582 0.940143i −0.0113888 0.0498976i
\(356\) 0.0123391 0.0314396i 0.000653972 0.00166629i
\(357\) −2.95212 1.59304i −0.156243 0.0843128i
\(358\) 33.0569 4.98252i 1.74711 0.263334i
\(359\) 10.0683 + 9.34205i 0.531387 + 0.493055i 0.899617 0.436680i \(-0.143846\pi\)
−0.368230 + 0.929735i \(0.620036\pi\)
\(360\) −1.23771 + 2.57014i −0.0652333 + 0.135458i
\(361\) 28.2579 19.2659i 1.48726 1.01400i
\(362\) 22.6370 8.88436i 1.18977 0.466952i
\(363\) 1.81747 + 5.89210i 0.0953925 + 0.309255i
\(364\) −6.60378 7.11718i −0.346132 0.373042i
\(365\) −0.480097 + 0.602022i −0.0251294 + 0.0315113i
\(366\) −27.4026 + 34.3618i −1.43236 + 1.79612i
\(367\) −5.98433 6.44957i −0.312379 0.336665i 0.557273 0.830329i \(-0.311848\pi\)
−0.869653 + 0.493664i \(0.835657\pi\)
\(368\) 25.8819 + 83.9070i 1.34919 + 4.37395i
\(369\) −10.2490 + 4.02245i −0.533544 + 0.209400i
\(370\) −2.24956 + 1.53372i −0.116949 + 0.0797345i
\(371\) 0.315733 0.655627i 0.0163921 0.0340385i
\(372\) −80.7241 74.9010i −4.18535 3.88344i
\(373\) 33.7133 5.08146i 1.74561 0.263108i 0.802753 0.596312i \(-0.203368\pi\)
0.942855 + 0.333204i \(0.108130\pi\)
\(374\) 19.7197 36.5432i 1.01968 1.88960i
\(375\) −1.16571 + 2.97017i −0.0601969 + 0.153379i
\(376\) 14.2454 + 62.4134i 0.734653 + 3.21872i
\(377\) 30.8419 2.31128i 1.58844 0.119037i
\(378\) −1.69469 0.522743i −0.0871656 0.0268870i
\(379\) 3.23471 + 6.71694i 0.166156 + 0.345026i 0.967377 0.253343i \(-0.0815300\pi\)
−0.801221 + 0.598369i \(0.795816\pi\)
\(380\) 4.78379 + 2.76192i 0.245403 + 0.141684i
\(381\) 1.59360 0.920068i 0.0816428 0.0471365i
\(382\) 34.4948 + 23.5181i 1.76491 + 1.20329i
\(383\) −1.85026 + 8.10651i −0.0945438 + 0.414223i −0.999947 0.0103301i \(-0.996712\pi\)
0.905403 + 0.424553i \(0.139569\pi\)
\(384\) 11.2186 74.4307i 0.572498 3.79827i
\(385\) 0.144809 0.115481i 0.00738014 0.00588546i
\(386\) 57.5093i 2.92715i
\(387\) −14.3785 1.06856i −0.730899 0.0543178i
\(388\) 11.9024i 0.604252i
\(389\) −2.09071 2.62167i −0.106003 0.132924i 0.726000 0.687695i \(-0.241377\pi\)
−0.832003 + 0.554771i \(0.812806\pi\)
\(390\) −4.33259 0.653033i −0.219389 0.0330676i
\(391\) −15.1354 + 20.1410i −0.765432 + 1.01857i
\(392\) −52.5421 35.8226i −2.65378 1.80931i
\(393\) 0.187813 + 0.325302i 0.00947393 + 0.0164093i
\(394\) 44.6147 + 25.7583i 2.24766 + 1.29769i
\(395\) 1.24965 0.601798i 0.0628765 0.0302797i
\(396\) −12.9584 + 42.0101i −0.651184 + 2.11109i
\(397\) −34.0906 + 2.55474i −1.71096 + 0.128219i −0.893880 0.448307i \(-0.852027\pi\)
−0.817079 + 0.576525i \(0.804408\pi\)
\(398\) 9.71602 2.21762i 0.487020 0.111159i
\(399\) 2.16802 5.52402i 0.108537 0.276547i
\(400\) 5.34830 71.3681i 0.267415 3.56840i
\(401\) −5.04670 33.4827i −0.252020 1.67205i −0.654074 0.756430i \(-0.726942\pi\)
0.402054 0.915616i \(-0.368296\pi\)
\(402\) 13.0575 14.0726i 0.651248 0.701878i
\(403\) 19.5450 40.5857i 0.973608 2.02172i
\(404\) 2.38385 1.62528i 0.118601 0.0808609i
\(405\) −1.40466 + 0.551288i −0.0697980 + 0.0273937i
\(406\) −5.69505 + 1.75669i −0.282640 + 0.0871830i
\(407\) −19.3691 + 17.9719i −0.960089 + 0.890833i
\(408\) 77.2542 39.9794i 3.82465 1.97928i
\(409\) −2.07480 + 2.60172i −0.102592 + 0.128647i −0.830477 0.557053i \(-0.811932\pi\)
0.727885 + 0.685700i \(0.240504\pi\)
\(410\) −1.40023 + 1.29922i −0.0691523 + 0.0641640i
\(411\) 12.6739 + 41.0877i 0.625157 + 2.02671i
\(412\) 5.00450 + 12.7513i 0.246554 + 0.628210i
\(413\) −0.600324 0.880514i −0.0295400 0.0433273i
\(414\) 15.8588 32.9312i 0.779418 1.61848i
\(415\) 0.110342 0.118920i 0.00541646 0.00583755i
\(416\) 102.559 15.4583i 5.02837 0.757904i
\(417\) −0.524752 + 7.00233i −0.0256972 + 0.342905i
\(418\) 68.3798 + 26.8371i 3.34456 + 1.31264i
\(419\) 6.86105 1.56599i 0.335184 0.0765036i −0.0516165 0.998667i \(-0.516437\pi\)
0.386801 + 0.922163i \(0.373580\pi\)
\(420\) 0.614430 0.0460452i 0.0299811 0.00224678i
\(421\) −30.8577 9.51835i −1.50391 0.463896i −0.570076 0.821592i \(-0.693086\pi\)
−0.933838 + 0.357696i \(0.883562\pi\)
\(422\) −21.2206 44.0651i −1.03300 2.14505i
\(423\) 7.60631 13.1745i 0.369831 0.640567i
\(424\) 9.43488 + 16.3417i 0.458198 + 0.793623i
\(425\) 17.4808 10.7743i 0.847945 0.522628i
\(426\) 9.49281 41.5907i 0.459928 2.01508i
\(427\) 2.50002 + 0.376817i 0.120984 + 0.0182354i
\(428\) −59.7184 + 47.6238i −2.88660 + 2.30199i
\(429\) −42.5215 −2.05295
\(430\) −2.38980 + 0.738777i −0.115246 + 0.0356270i
\(431\) 18.8327i 0.907139i −0.891221 0.453569i \(-0.850150\pi\)
0.891221 0.453569i \(-0.149850\pi\)
\(432\) 20.5256 16.3686i 0.987537 0.787534i
\(433\) −3.37874 0.509263i −0.162372 0.0244736i 0.0673531 0.997729i \(-0.478545\pi\)
−0.229725 + 0.973256i \(0.573783\pi\)
\(434\) −1.93157 + 8.46275i −0.0927182 + 0.406225i
\(435\) −1.10568 + 1.62173i −0.0530132 + 0.0777560i
\(436\) −27.9385 + 16.1303i −1.33801 + 0.772500i
\(437\) −38.5978 22.2844i −1.84638 1.06601i
\(438\) −30.6910 + 14.7800i −1.46647 + 0.706217i
\(439\) −7.46887 + 24.2135i −0.356470 + 1.15565i 0.582843 + 0.812585i \(0.301940\pi\)
−0.939313 + 0.343062i \(0.888536\pi\)
\(440\) 0.358919 + 4.78944i 0.0171108 + 0.228328i
\(441\) 3.36257 + 14.7324i 0.160122 + 0.701542i
\(442\) 39.6097 + 40.3006i 1.88404 + 1.91691i
\(443\) 2.18083 29.1012i 0.103615 1.38264i −0.666866 0.745177i \(-0.732365\pi\)
0.770481 0.637463i \(-0.220016\pi\)
\(444\) −86.9167 + 13.1006i −4.12488 + 0.621726i
\(445\) −0.000596370 0 0.000642733i −2.82706e−5 0 3.04685e-5i
\(446\) 10.0755 + 4.85211i 0.477089 + 0.229754i
\(447\) 29.7297 + 43.6055i 1.40617 + 2.06247i
\(448\) −9.05815 + 3.55506i −0.427957 + 0.167961i
\(449\) −4.20331 13.6268i −0.198367 0.643089i −0.999033 0.0439778i \(-0.985997\pi\)
0.800666 0.599111i \(-0.204479\pi\)
\(450\) −21.8383 + 20.2629i −1.02947 + 0.955204i
\(451\) −11.5578 + 14.4930i −0.544236 + 0.682451i
\(452\) 60.6580 + 48.3732i 2.85311 + 2.27528i
\(453\) 8.53731 + 9.20103i 0.401118 + 0.432302i
\(454\) 6.88457 + 22.3192i 0.323109 + 1.04749i
\(455\) 0.0920835 + 0.234625i 0.00431694 + 0.0109994i
\(456\) 86.6840 + 127.142i 4.05935 + 5.95397i
\(457\) −21.4255 10.3180i −1.00224 0.482654i −0.140543 0.990075i \(-0.544885\pi\)
−0.861699 + 0.507420i \(0.830599\pi\)
\(458\) −1.57830 1.46445i −0.0737493 0.0684293i
\(459\) 7.25881 + 2.01242i 0.338812 + 0.0939315i
\(460\) 0.345821 4.61467i 0.0161240 0.215160i
\(461\) −4.44933 + 11.3367i −0.207226 + 0.528003i −0.996266 0.0863388i \(-0.972483\pi\)
0.789040 + 0.614342i \(0.210578\pi\)
\(462\) 7.98834 1.82329i 0.371651 0.0848270i
\(463\) 2.22322 + 29.6668i 0.103322 + 1.37873i 0.772208 + 0.635369i \(0.219152\pi\)
−0.668886 + 0.743365i \(0.733229\pi\)
\(464\) 26.0046 84.3048i 1.20723 3.91375i
\(465\) 1.24037 + 2.57566i 0.0575209 + 0.119443i
\(466\) 23.5015 + 13.5686i 1.08868 + 0.628553i
\(467\) −7.52481 13.0334i −0.348207 0.603112i 0.637724 0.770265i \(-0.279876\pi\)
−0.985931 + 0.167153i \(0.946543\pi\)
\(468\) −49.4307 33.7013i −2.28494 1.55784i
\(469\) −1.07664 0.245736i −0.0497146 0.0113470i
\(470\) 0.393355 2.60974i 0.0181441 0.120378i
\(471\) 24.4212 19.4752i 1.12527 0.897372i
\(472\) 27.6344 1.27198
\(473\) −21.8647 + 10.5462i −1.00534 + 0.484913i
\(474\) 61.3592 2.81832
\(475\) 22.6489 + 28.4008i 1.03920 + 1.30312i
\(476\) −6.69156 4.28572i −0.306707 0.196436i
\(477\) 0.997783 4.37157i 0.0456853 0.200161i
\(478\) 43.4204 + 29.6036i 1.98600 + 1.35403i
\(479\) 1.58279 0.913821i 0.0723193 0.0417536i −0.463404 0.886147i \(-0.653372\pi\)
0.535724 + 0.844393i \(0.320039\pi\)
\(480\) −3.29107 + 5.70030i −0.150216 + 0.260182i
\(481\) −15.6009 32.3956i −0.711339 1.47711i
\(482\) −23.9651 + 77.6931i −1.09158 + 3.53882i
\(483\) −4.95750 + 0.371513i −0.225574 + 0.0169044i
\(484\) 3.25023 + 14.2402i 0.147738 + 0.647281i
\(485\) 0.112887 0.287631i 0.00512592 0.0130606i
\(486\) −51.6993 3.87433i −2.34513 0.175743i
\(487\) −0.336811 2.23459i −0.0152623 0.101259i 0.979903 0.199476i \(-0.0639241\pi\)
−0.995165 + 0.0982173i \(0.968686\pi\)
\(488\) −44.5922 + 48.0590i −2.01860 + 2.17553i
\(489\) 34.4027 + 16.5674i 1.55574 + 0.749206i
\(490\) 1.47682 + 2.16610i 0.0667159 + 0.0978542i
\(491\) 6.53431 + 16.6491i 0.294889 + 0.751366i 0.999142 + 0.0414162i \(0.0131870\pi\)
−0.704253 + 0.709949i \(0.748718\pi\)
\(492\) −58.9274 + 18.1767i −2.65665 + 0.819468i
\(493\) 23.9644 8.15362i 1.07930 0.367221i
\(494\) −62.3258 + 78.1541i −2.80417 + 3.51632i
\(495\) 0.711589 0.892304i 0.0319835 0.0401061i
\(496\) −87.4003 94.1952i −3.92439 4.22949i
\(497\) −2.34501 + 0.723341i −0.105188 + 0.0324463i
\(498\) 6.68057 2.62193i 0.299363 0.117491i
\(499\) −1.30470 1.91364i −0.0584063 0.0856663i 0.795925 0.605396i \(-0.206985\pi\)
−0.854331 + 0.519729i \(0.826033\pi\)
\(500\) −3.27946 + 6.80986i −0.146662 + 0.304546i
\(501\) 14.4527 + 13.4101i 0.645698 + 0.599120i
\(502\) −29.2463 + 4.40818i −1.30533 + 0.196747i
\(503\) −28.4128 2.12924i −1.26686 0.0949383i −0.575715 0.817651i \(-0.695276\pi\)
−0.691149 + 0.722712i \(0.742895\pi\)
\(504\) 6.75768 + 2.65219i 0.301011 + 0.118138i
\(505\) −0.0730225 + 0.0166669i −0.00324946 + 0.000741668i
\(506\) −4.59883 61.3671i −0.204443 2.72810i
\(507\) 8.31893 26.9693i 0.369457 1.19775i
\(508\) 3.92732 1.89130i 0.174247 0.0839129i
\(509\) −9.36951 + 16.2285i −0.415296 + 0.719314i −0.995459 0.0951861i \(-0.969655\pi\)
0.580163 + 0.814500i \(0.302989\pi\)
\(510\) −3.56687 + 0.370689i −0.157944 + 0.0164144i
\(511\) 1.61907 + 1.10386i 0.0716233 + 0.0488320i
\(512\) 6.65955 29.1774i 0.294313 1.28947i
\(513\) −1.98604 + 13.1765i −0.0876860 + 0.581758i
\(514\) −30.7688 38.5828i −1.35715 1.70182i
\(515\) 0.355609i 0.0156700i
\(516\) −79.8606 11.9864i −3.51566 0.527673i
\(517\) 25.6129i 1.12645i
\(518\) 4.31997 + 5.41707i 0.189809 + 0.238013i
\(519\) 52.5172 + 7.91570i 2.30525 + 0.347461i
\(520\) −6.37199 1.45437i −0.279430 0.0637781i
\(521\) 5.32678 7.81295i 0.233370 0.342292i −0.691634 0.722248i \(-0.743109\pi\)
0.925004 + 0.379957i \(0.124061\pi\)
\(522\) −31.8040 + 18.3621i −1.39202 + 0.803686i
\(523\) 11.2137 19.4228i 0.490342 0.849298i −0.509596 0.860414i \(-0.670205\pi\)
0.999938 + 0.0111161i \(0.00353842\pi\)
\(524\) 0.386071 + 0.801685i 0.0168656 + 0.0350218i
\(525\) 3.87194 + 1.19433i 0.168985 + 0.0521250i
\(526\) −1.27231 16.9778i −0.0554754 0.740267i
\(527\) 7.16726 36.1653i 0.312211 1.57538i
\(528\) −44.3136 + 112.909i −1.92850 + 4.91375i
\(529\) −1.07145 + 14.2975i −0.0465848 + 0.621631i
\(530\) −0.115943 0.769235i −0.00503626 0.0334134i
\(531\) −4.81375 4.46651i −0.208899 0.193830i
\(532\) 6.09923 12.6652i 0.264435 0.549105i
\(533\) −14.2103 20.8427i −0.615516 0.902797i
\(534\) −0.0361068 + 0.0141709i −0.00156249 + 0.000613234i
\(535\) 1.89483 0.584476i 0.0819204 0.0252691i
\(536\) 20.9919 19.4776i 0.906712 0.841306i
\(537\) −21.9055 17.4690i −0.945290 0.753844i
\(538\) −14.5256 11.5838i −0.626244 0.499413i
\(539\) 17.3051 + 18.6504i 0.745383 + 0.803331i
\(540\) −1.32211 + 0.407817i −0.0568946 + 0.0175496i
\(541\) 17.1660 6.73716i 0.738024 0.289653i 0.0336028 0.999435i \(-0.489302\pi\)
0.704421 + 0.709782i \(0.251207\pi\)
\(542\) 45.9048 31.2974i 1.97178 1.34434i
\(543\) −18.3627 8.84302i −0.788020 0.379490i
\(544\) 78.0956 33.2720i 3.34832 1.42653i
\(545\) 0.828141 0.124822i 0.0354737 0.00534679i
\(546\) −0.833261 + 11.1191i −0.0356603 + 0.475853i
\(547\) −30.9882 12.1620i −1.32496 0.520008i −0.405823 0.913952i \(-0.633015\pi\)
−0.919134 + 0.393944i \(0.871110\pi\)
\(548\) 22.6650 + 99.3020i 0.968203 + 4.24197i
\(549\) 15.5354 1.16422i 0.663035 0.0496876i
\(550\) −14.7842 + 47.9293i −0.630402 + 2.04371i
\(551\) 19.4294 + 40.3455i 0.827720 + 1.71878i
\(552\) 64.4567 111.642i 2.74346 4.75181i
\(553\) −1.76485 3.05680i −0.0750489 0.129989i
\(554\) 2.72257 3.99327i 0.115671 0.169658i
\(555\) 2.22466 + 0.507764i 0.0944316 + 0.0215534i
\(556\) −2.47916 + 16.4482i −0.105140 + 0.697558i
\(557\) −6.09664 7.64494i −0.258323 0.323927i 0.635710 0.771928i \(-0.280707\pi\)
−0.894033 + 0.448001i \(0.852136\pi\)
\(558\) 53.4881i 2.26433i
\(559\) −4.94374 32.6622i −0.209098 1.38147i
\(560\) 0.718976 0.0303823
\(561\) −33.6926 + 8.71640i −1.42250 + 0.368007i
\(562\) 40.2832 + 6.07171i 1.69924 + 0.256120i
\(563\) 4.21086 18.4490i 0.177467 0.777532i −0.805328 0.592830i \(-0.798011\pi\)
0.982794 0.184702i \(-0.0591321\pi\)
\(564\) 47.9977 70.3996i 2.02107 2.96436i
\(565\) −1.00706 1.74428i −0.0423673 0.0733824i
\(566\) −52.7135 30.4342i −2.21572 1.27924i
\(567\) 1.66615 + 3.45979i 0.0699716 + 0.145297i
\(568\) 18.7569 60.8085i 0.787024 2.55147i
\(569\) 1.87136 + 24.9716i 0.0784517 + 1.04687i 0.888010 + 0.459825i \(0.152088\pi\)
−0.809558 + 0.587040i \(0.800293\pi\)
\(570\) −1.41164 6.18481i −0.0591272 0.259053i
\(571\) 14.7382 + 5.78430i 0.616773 + 0.242066i 0.653097 0.757275i \(-0.273469\pi\)
−0.0363237 + 0.999340i \(0.511565\pi\)
\(572\) −100.445 7.52733i −4.19983 0.314733i
\(573\) −5.21503 34.5995i −0.217861 1.44541i
\(574\) 3.56335 + 3.30631i 0.148731 + 0.138003i
\(575\) 13.2040 27.4184i 0.550645 1.14343i
\(576\) −49.5418 + 33.7771i −2.06424 + 1.40738i
\(577\) 7.54506 + 19.2245i 0.314105 + 0.800326i 0.997526 + 0.0703016i \(0.0223962\pi\)
−0.683421 + 0.730025i \(0.739509\pi\)
\(578\) 39.6466 + 23.8134i 1.64908 + 0.990507i
\(579\) −35.3323 + 32.7836i −1.46836 + 1.36244i
\(580\) −2.89894 + 3.63516i −0.120372 + 0.150942i
\(581\) −0.322770 0.257401i −0.0133908 0.0106788i
\(582\) 10.0203 9.29750i 0.415355 0.385394i
\(583\) −2.22526 7.21411i −0.0921608 0.298778i
\(584\) −47.3009 + 18.5642i −1.95733 + 0.768194i
\(585\) 0.874896 + 1.28324i 0.0361725 + 0.0530553i
\(586\) 17.9753 + 8.65644i 0.742552 + 0.357594i
\(587\) −0.407955 0.378527i −0.0168381 0.0156235i 0.671709 0.740815i \(-0.265561\pi\)
−0.688547 + 0.725192i \(0.741751\pi\)
\(588\) 12.6145 + 83.6919i 0.520214 + 3.45140i
\(589\) 65.0392 + 4.87402i 2.67989 + 0.200830i
\(590\) −1.06050 0.416216i −0.0436602 0.0171353i
\(591\) −9.60767 42.0940i −0.395207 1.73151i
\(592\) −102.280 + 7.66482i −4.20368 + 0.315022i
\(593\) 19.1685 + 5.91270i 0.787156 + 0.242805i 0.662171 0.749353i \(-0.269635\pi\)
0.124985 + 0.992159i \(0.460112\pi\)
\(594\) −16.5771 + 7.98312i −0.680167 + 0.327551i
\(595\) 0.121059 + 0.167033i 0.00496295 + 0.00684769i
\(596\) 62.5090 + 108.269i 2.56047 + 4.43486i
\(597\) −6.90114 4.70512i −0.282445 0.192568i
\(598\) 81.6443 + 18.6348i 3.33868 + 0.762033i
\(599\) 9.44706 + 1.42391i 0.385996 + 0.0581796i 0.339174 0.940724i \(-0.389852\pi\)
0.0468223 + 0.998903i \(0.485091\pi\)
\(600\) −82.1480 + 65.5109i −3.35368 + 2.67447i
\(601\) 38.6187i 1.57529i 0.616129 + 0.787646i \(0.288700\pi\)
−0.616129 + 0.787646i \(0.711300\pi\)
\(602\) 2.32929 + 5.92414i 0.0949349 + 0.241450i
\(603\) −6.80481 −0.277113
\(604\) 18.5382 + 23.2462i 0.754310 + 0.945875i
\(605\) 0.0565149 0.374952i 0.00229766 0.0152440i
\(606\) −3.23042 0.737322i −0.131227 0.0299517i
\(607\) −9.98810 + 14.6499i −0.405404 + 0.594619i −0.973596 0.228277i \(-0.926691\pi\)
0.568192 + 0.822896i \(0.307643\pi\)
\(608\) 75.0845 + 130.050i 3.04508 + 5.27423i
\(609\) 4.32577 + 2.49749i 0.175289 + 0.101203i
\(610\) 2.43512 1.17269i 0.0985951 0.0474809i
\(611\) 33.3061 + 10.2736i 1.34742 + 0.415624i
\(612\) −46.0757 16.5711i −1.86250 0.669846i
\(613\) −0.741636 3.24932i −0.0299544 0.131239i 0.957740 0.287636i \(-0.0928692\pi\)
−0.987694 + 0.156397i \(0.950012\pi\)
\(614\) 11.6923 29.7915i 0.471863 1.20229i
\(615\) 1.59642 + 0.119635i 0.0643739 + 0.00482416i
\(616\) 12.0860 1.82167i 0.486959 0.0733973i
\(617\) −21.0277 + 22.6625i −0.846544 + 0.912357i −0.997089 0.0762461i \(-0.975707\pi\)
0.150545 + 0.988603i \(0.451897\pi\)
\(618\) 6.82572 14.1737i 0.274571 0.570152i
\(619\) −12.6868 18.6082i −0.509927 0.747926i 0.481801 0.876281i \(-0.339983\pi\)
−0.991728 + 0.128355i \(0.959030\pi\)
\(620\) 2.47408 + 6.30386i 0.0993616 + 0.253169i
\(621\) 10.6674 3.29045i 0.428067 0.132041i
\(622\) −9.34099 10.0672i −0.374540 0.403658i
\(623\) 0.00174449 + 0.00139119i 6.98916e−5 + 5.57367e-5i
\(624\) −129.049 102.913i −5.16608 4.11981i
\(625\) −18.1104 + 16.8040i −0.724416 + 0.672160i
\(626\) 13.8370 + 44.8585i 0.553039 + 1.79291i
\(627\) −22.4923 57.3096i −0.898258 2.28872i
\(628\) 61.1359 41.6818i 2.43959 1.66328i
\(629\) −19.0023 22.4712i −0.757673 0.895985i
\(630\) −0.219388 0.203562i −0.00874061 0.00811010i
\(631\) −40.0653 + 6.03887i −1.59497 + 0.240403i −0.885606 0.464436i \(-0.846257\pi\)
−0.709366 + 0.704840i \(0.751019\pi\)
\(632\) 91.2726 + 6.83993i 3.63063 + 0.272078i
\(633\) −14.9755 + 38.1571i −0.595225 + 1.51661i
\(634\) 43.6641 9.96604i 1.73412 0.395802i
\(635\) −0.112845 + 0.00845654i −0.00447810 + 0.000335588i
\(636\) 7.40266 23.9988i 0.293534 0.951615i
\(637\) −31.1936 + 15.0221i −1.23594 + 0.595196i
\(638\) −30.9154 + 53.5471i −1.22395 + 2.11995i
\(639\) −13.0957 + 7.56083i −0.518060 + 0.299102i
\(640\) −2.60755 + 3.82457i −0.103072 + 0.151180i
\(641\) −12.5272 2.85925i −0.494795 0.112934i −0.0321603 0.999483i \(-0.510239\pi\)
−0.462635 + 0.886549i \(0.653096\pi\)
\(642\) 86.7420 + 13.0743i 3.42343 + 0.516000i
\(643\) 35.8772 28.6111i 1.41486 1.12831i 0.441971 0.897029i \(-0.354279\pi\)
0.972887 0.231282i \(-0.0742921\pi\)
\(644\) −11.7765 −0.464059
\(645\) 1.81621 + 1.04709i 0.0715132 + 0.0412291i
\(646\) −33.3643 + 74.7028i −1.31270 + 2.93914i
\(647\) 5.92430 + 7.42883i 0.232908 + 0.292058i 0.884527 0.466489i \(-0.154481\pi\)
−0.651619 + 0.758546i \(0.725910\pi\)
\(648\) −98.4648 14.8412i −3.86806 0.583017i
\(649\) −10.7789 2.46022i −0.423110 0.0965720i
\(650\) −56.3955 38.4498i −2.21201 1.50813i
\(651\) 6.30042 3.63755i 0.246933 0.142567i
\(652\) 78.3340 + 45.2261i 3.06779 + 1.77119i
\(653\) 15.4253 + 32.0310i 0.603639 + 1.25347i 0.949082 + 0.315030i \(0.102015\pi\)
−0.345442 + 0.938440i \(0.612271\pi\)
\(654\) 35.4037 + 10.9206i 1.38439 + 0.427029i
\(655\) −0.00172623 0.0230350i −6.74495e−5 0.000900051i
\(656\) −70.1538 + 16.0122i −2.73905 + 0.625169i
\(657\) 11.2400 + 4.41139i 0.438516 + 0.172105i
\(658\) −6.69760 0.501916i −0.261100 0.0195667i
\(659\) 19.3178 2.91169i 0.752514 0.113423i 0.238426 0.971161i \(-0.423369\pi\)
0.514088 + 0.857737i \(0.328130\pi\)
\(660\) 4.34791 4.68593i 0.169242 0.182399i
\(661\) 42.7897 + 20.6064i 1.66433 + 0.801498i 0.998463 + 0.0554253i \(0.0176515\pi\)
0.665865 + 0.746073i \(0.268063\pi\)
\(662\) −15.1297 + 10.3152i −0.588031 + 0.400913i
\(663\) 2.17992 47.3090i 0.0846612 1.83733i
\(664\) 10.2297 3.15545i 0.396990 0.122455i
\(665\) −0.267514 + 0.248217i −0.0103737 + 0.00962543i
\(666\) 33.3797 + 26.6194i 1.29344 + 1.03148i
\(667\) 23.3900 29.3301i 0.905664 1.13567i
\(668\) 31.7665 + 34.2362i 1.22908 + 1.32464i
\(669\) −2.76260 8.95613i −0.106808 0.346264i
\(670\) −1.09895 + 0.431306i −0.0424562 + 0.0166628i
\(671\) 21.6720 14.7757i 0.836637 0.570410i
\(672\) 15.0917 + 7.26776i 0.582173 + 0.280360i
\(673\) −19.3321 + 20.8350i −0.745198 + 0.803132i −0.985877 0.167473i \(-0.946439\pi\)
0.240679 + 0.970605i \(0.422630\pi\)
\(674\) −2.35263 15.6087i −0.0906200 0.601224i
\(675\) −9.07327 0.679947i −0.349230 0.0261712i
\(676\) 24.4254 62.2349i 0.939439 2.39365i
\(677\) 31.4005 7.16695i 1.20682 0.275448i 0.428630 0.903480i \(-0.358996\pi\)
0.778188 + 0.628032i \(0.216139\pi\)
\(678\) −6.65860 88.8529i −0.255722 3.41237i
\(679\) −0.751395 0.231775i −0.0288359 0.00889469i
\(680\) −5.34709 + 0.153792i −0.205051 + 0.00589766i
\(681\) 9.78780 16.9530i 0.375069 0.649639i
\(682\) 45.0278 + 77.9905i 1.72421 + 2.98641i
\(683\) −13.7120 + 20.1118i −0.524674 + 0.769556i −0.993512 0.113729i \(-0.963721\pi\)
0.468838 + 0.883284i \(0.344673\pi\)
\(684\) 19.2748 84.4485i 0.736991 3.22897i
\(685\) 0.394099 2.61468i 0.0150577 0.0999016i
\(686\) 10.5288 8.39645i 0.401992 0.320578i
\(687\) 1.80449i 0.0688457i
\(688\) −91.8817 20.9115i −3.50296 0.797243i
\(689\) 10.2736 0.391391
\(690\) −4.15510 + 3.31358i −0.158182 + 0.126146i
\(691\) 4.00868 26.5958i 0.152497 1.01175i −0.773384 0.633938i \(-0.781437\pi\)
0.925881 0.377815i \(-0.123325\pi\)
\(692\) 122.656 + 27.9955i 4.66269 + 1.06423i
\(693\) −2.39975 1.63612i −0.0911588 0.0621510i
\(694\) −13.4123 + 7.74361i −0.509125 + 0.293943i
\(695\) 0.215912 0.373970i 0.00818999 0.0141855i
\(696\) −116.698 + 56.1986i −4.42341 + 2.13020i
\(697\) −15.5323 13.6021i −0.588327 0.515217i
\(698\) 4.63893 + 61.9022i 0.175586 + 2.34303i
\(699\) −5.06098 22.1736i −0.191424 0.838683i
\(700\) 8.93496 + 3.50671i 0.337710 + 0.132541i
\(701\) 1.22150 16.2998i 0.0461353 0.615633i −0.925439 0.378897i \(-0.876303\pi\)
0.971574 0.236736i \(-0.0760776\pi\)
\(702\) −3.73173 24.7584i −0.140845 0.934446i
\(703\) 35.4098 38.1627i 1.33551 1.43933i
\(704\) −43.8020 + 90.9558i −1.65085 + 3.42803i
\(705\) −1.82760 + 1.24604i −0.0688313 + 0.0469284i
\(706\) −29.0983 74.1412i −1.09513 2.79034i
\(707\) 0.0561831 + 0.182141i 0.00211298 + 0.00685012i
\(708\) −25.0166 26.9615i −0.940183 1.01328i
\(709\) 27.0960 + 21.6083i 1.01761 + 0.811517i 0.982197 0.187856i \(-0.0601538\pi\)
0.0354134 + 0.999373i \(0.488725\pi\)
\(710\) −1.63569 + 2.05109i −0.0613863 + 0.0769760i
\(711\) −14.7936 15.9437i −0.554804 0.597936i
\(712\) −0.0552890 + 0.0170544i −0.00207204 + 0.000639141i
\(713\) −19.9620 50.8624i −0.747584 1.90481i
\(714\) 1.61904 + 8.98122i 0.0605909 + 0.336114i
\(715\) 2.35595 + 1.13456i 0.0881074 + 0.0424303i
\(716\) −48.6532 45.1435i −1.81825 1.68709i
\(717\) −6.56444 43.5522i −0.245153 1.62649i
\(718\) 2.79234 37.2612i 0.104209 1.39058i
\(719\) 7.39007 + 2.90039i 0.275603 + 0.108166i 0.499117 0.866534i \(-0.333658\pi\)
−0.223514 + 0.974701i \(0.571753\pi\)
\(720\) 4.31921 0.985832i 0.160968 0.0367398i
\(721\) −0.902436 + 0.0676282i −0.0336085 + 0.00251861i
\(722\) −88.9095 27.4249i −3.30887 1.02065i
\(723\) 61.3943 29.5659i 2.28328 1.09957i
\(724\) −41.8115 24.1399i −1.55391 0.897151i
\(725\) −26.4799 + 15.2882i −0.983440 + 0.567789i
\(726\) 9.44954 13.8599i 0.350705 0.514390i
\(727\) −6.22803 + 27.2868i −0.230985 + 1.01201i 0.717840 + 0.696208i \(0.245131\pi\)
−0.948825 + 0.315803i \(0.897726\pi\)
\(728\) −2.47897 + 16.4469i −0.0918769 + 0.609563i
\(729\) 6.96174 + 8.72974i 0.257842 + 0.323324i
\(730\) 2.09483 0.0775332
\(731\) −10.6126 24.8671i −0.392523 0.919742i
\(732\) 87.2569 3.22511
\(733\) −3.03081 3.80052i −0.111946 0.140375i 0.722702 0.691160i \(-0.242900\pi\)
−0.834647 + 0.550785i \(0.814329\pi\)
\(734\) −3.56743 + 23.6683i −0.131676 + 0.873614i
\(735\) 0.488925 2.14212i 0.0180343 0.0790133i
\(736\) 70.8680 103.944i 2.61223 3.83143i
\(737\) −9.92203 + 5.72849i −0.365483 + 0.211011i
\(738\) 25.9402 + 14.9766i 0.954870 + 0.551295i
\(739\) −11.4938 + 5.53514i −0.422808 + 0.203613i −0.633175 0.774009i \(-0.718248\pi\)
0.210367 + 0.977623i \(0.432534\pi\)
\(740\) 5.16526 + 1.59327i 0.189879 + 0.0585698i
\(741\) 83.5453 6.26085i 3.06911 0.229998i
\(742\) −1.93005 + 0.440522i −0.0708545 + 0.0161721i
\(743\) −18.5103 7.26474i −0.679075 0.266517i 0.000633105 1.00000i \(-0.499798\pi\)
−0.679709 + 0.733482i \(0.737894\pi\)
\(744\) −14.0979 + 188.123i −0.516853 + 6.89692i
\(745\) −0.483718 3.20926i −0.0177221 0.117578i
\(746\) −67.9929 63.0882i −2.48940 2.30982i
\(747\) −2.29196 1.10375i −0.0838586 0.0403842i
\(748\) −81.1325 + 14.6257i −2.96650 + 0.534768i
\(749\) −1.84359 4.69738i −0.0673632 0.171639i
\(750\) 8.29477 2.55860i 0.302882 0.0934268i
\(751\) −8.16812 8.80314i −0.298059 0.321231i 0.566210 0.824261i \(-0.308409\pi\)
−0.864269 + 0.503030i \(0.832219\pi\)
\(752\) 61.9897