Properties

Label 731.2.z.a.67.1
Level 731
Weight 2
Character 731.67
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 67.1
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.1

$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{20}{21}\right)\)

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 −0.385792 + 0.922586i \(0.626072\pi\)
−0.813608 + 0.581414i \(0.802500\pi\)
\(3\) −0.339828 2.25461i −0.196200 1.30170i −0.842533 0.538644i \(-0.818937\pi\)
0.646334 0.763055i \(-0.276301\pi\)
\(4\) −1.20187 5.26573i −0.600935 2.63287i
\(5\) 0.0789863 + 0.115852i 0.0353238 + 0.0518104i 0.843494 0.537138i \(-0.180495\pi\)
−0.808171 + 0.588948i \(0.799542\pi\)
\(6\) 5.37192 + 3.10148i 2.19308 + 1.26617i
\(7\) −0.309020 + 0.178413i −0.116799 + 0.0674338i −0.557261 0.830337i \(-0.688148\pi\)
0.440463 + 0.897771i \(0.354814\pi\)
\(8\) 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 −0.359451 0.933164i \(-0.617036\pi\)
−0.728739 + 0.684792i \(0.759893\pi\)
\(12\) −11.4637 + 4.49919i −3.30930 + 1.29880i
\(13\) 0.376466 + 5.02359i 0.104413 + 1.39329i 0.765718 + 0.643176i \(0.222384\pi\)
−0.661305 + 0.750117i \(0.729997\pi\)
\(14\) 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 0.960936 0.276770i \(-0.0892639\pi\)
0.638053 + 0.769992i \(0.279740\pi\)
\(20\) 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 −0.998358 0.0572906i \(-0.981754\pi\)
0.131738 + 0.991285i \(0.457944\pi\)
\(24\) 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 −0.727488 0.686121i \(-0.759312\pi\)
0.897405 0.441207i \(-0.145450\pi\)
\(30\) 0.0649967 + 0.867320i 0.0118667 + 0.158350i
\(31\) 8.32384 3.26687i 1.49501 0.586746i 0.529773 0.848139i \(-0.322277\pi\)
0.965232 + 0.261393i \(0.0841818\pi\)
\(32\) 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 0.912998 0.407963i \(-0.133761\pi\)
0.103192 + 0.994661i \(0.467094\pi\)
\(38\) −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 0.879559 0.475790i \(-0.157838\pi\)
−0.268140 + 0.963380i \(0.586409\pi\)
\(42\) −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 −0.953990 0.299838i \(-0.903067\pi\)
0.729420 0.684066i \(-0.239790\pi\)
\(48\) 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 −0.976907 0.213665i \(-0.931460\pi\)
0.997841 0.0656776i \(-0.0209209\pi\)
\(54\) 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 −0.250448 0.968130i \(-0.580578\pi\)
0.600763 + 0.799427i \(0.294864\pi\)
\(60\) −1.42672 0.972719i −0.184188 0.125577i
\(61\) −6.59561 2.58859i −0.844482 0.331435i −0.0966462 0.995319i \(-0.530812\pi\)
−0.747835 + 0.663884i \(0.768907\pi\)
\(62\) −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 0.470090 0.882619i \(-0.344221\pi\)
−0.108790 + 0.994065i \(0.534698\pi\)
\(68\) 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 0.946809 0.321797i \(-0.104287\pi\)
−0.391653 + 0.920113i \(0.628096\pi\)
\(72\) −20.1174 3.03221i −2.37086 0.357350i
\(73\) −5.47629 + 0.410392i −0.640952 + 0.0480327i −0.391242 0.920288i \(-0.627954\pi\)
−0.249710 + 0.968321i \(0.580335\pi\)
\(74\) −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 0.0664760 0.997788i \(-0.478824\pi\)
0.897348 + 0.441324i \(0.145491\pi\)
\(80\) −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 −0.0859535 0.996299i \(-0.527394\pi\)
0.211529 + 0.977372i \(0.432156\pi\)
\(84\) 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 −0.149370 0.988781i \(-0.547725\pi\)
0.148715 + 0.988880i \(0.452486\pi\)
\(90\) 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 0.330194 0.943913i \(-0.392886\pi\)
−0.112054 + 0.993702i \(0.535743\pi\)
\(98\) −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 −0.699414 0.714716i \(-0.746556\pi\)
0.660451 + 0.750870i \(0.270365\pi\)
\(102\) −16.5143 + 19.5290i −1.63516 + 1.93366i
\(103\) 2.09547 + 1.42867i 0.206473 + 0.140771i 0.662142 0.749378i \(-0.269648\pi\)
−0.455669 + 0.890149i \(0.650600\pi\)
\(104\) −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 0.0793690 0.996845i \(-0.474709\pi\)
0.989514 + 0.144440i \(0.0461380\pi\)
\(108\) −7.71472 + 6.15229i −0.742350 + 0.592004i
\(109\) 4.06261 4.37845i 0.389127 0.419379i −0.507857 0.861441i \(-0.669562\pi\)
0.896985 + 0.442062i \(0.145753\pi\)
\(110\) 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 0.957369 + 0.288866i \(0.0932783\pi\)
−0.371065 + 0.928607i \(0.621007\pi\)
\(114\) 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 −0.803655 0.595095i \(-0.797114\pi\)
0.759005 + 0.651085i \(0.225686\pi\)
\(128\) −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 0.629100 0.777324i \(-0.283423\pi\)
−0.617847 + 0.786298i \(0.711995\pi\)
\(132\) 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 0.982873 0.184283i \(-0.0589964\pi\)
0.468733 + 0.883340i \(0.344711\pi\)
\(138\) −36.2190 + 11.1721i −3.08316 + 0.951030i
\(139\) 3.07109 + 0.230147i 0.260487 + 0.0195208i 0.204333 0.978901i \(-0.434497\pi\)
0.0561535 + 0.998422i \(0.482116\pi\)
\(140\) −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 0.911258 + 0.411837i \(0.135113\pi\)
0.478783 + 0.877933i \(0.341078\pi\)
\(150\) 24.1530 19.2614i 1.97208 1.57268i
\(151\) 3.43227 + 4.30394i 0.279315 + 0.350249i 0.901623 0.432523i \(-0.142376\pi\)
−0.622308 + 0.782772i \(0.713805\pi\)
\(152\) 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 −0.970279 0.241990i \(-0.922200\pi\)
0.168805 + 0.985649i \(0.446009\pi\)
\(158\) −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 0.914665 + 0.404213i \(0.132455\pi\)
−0.528030 + 0.849226i \(0.677069\pi\)
\(164\) 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 0.967091 0.254430i \(-0.0818879\pi\)
−0.590161 + 0.807286i \(0.700936\pi\)
\(168\) 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 \(0.346169\pi\)
−0.464682 + 0.885478i \(0.653831\pi\)
\(174\) 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 0.539687 0.841866i \(-0.318542\pi\)
−0.998921 + 0.0464501i \(0.985209\pi\)
\(180\) −0.722489 + 1.50026i −0.0538511 + 0.111823i
\(181\) −2.63475 8.54165i −0.195840 0.634896i −0.999222 0.0394331i \(-0.987445\pi\)
0.803383 0.595463i \(-0.203031\pi\)
\(182\) 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 −0.285384 0.958413i \(-0.592121\pi\)
−0.775689 + 0.631116i \(0.782597\pi\)
\(192\) 42.2922 45.5802i 3.05218 3.28947i
\(193\) 16.5273 13.1801i 1.18966 0.948722i 0.190205 0.981744i \(-0.439085\pi\)
0.999455 + 0.0330224i \(0.0105133\pi\)
\(194\) −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 −0.358256 0.933623i \(-0.616629\pi\)
−0.897646 + 0.440718i \(0.854724\pi\)
\(198\) −12.4741 + 18.2961i −0.886493 + 1.30025i
\(199\) −1.58942 3.30047i −0.112671 0.233964i 0.837006 0.547193i \(-0.184304\pi\)
−0.949678 + 0.313229i \(0.898589\pi\)
\(200\) 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 0.428507 0.903539i \(-0.359040\pi\)
0.778102 + 0.628138i \(0.216183\pi\)
\(212\) −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 0.305751 0.952112i \(-0.401093\pi\)
−0.553758 + 0.832678i \(0.686807\pi\)
\(224\) 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 −0.615423 0.788197i \(-0.711015\pi\)
0.0849736 + 0.996383i \(0.472919\pi\)
\(228\) −89.5732 + 6.71258i −5.93213 + 0.444552i
\(229\) 0.782579 + 0.117955i 0.0517143 + 0.00779467i 0.174848 0.984595i \(-0.444056\pi\)
−0.123134 + 0.992390i \(0.539295\pi\)
\(230\) 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 0.0411317 0.999154i \(-0.486904\pi\)
−0.649445 + 0.760408i \(0.724999\pi\)
\(234\) 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 −0.366848 0.930281i \(-0.619563\pi\)
−0.827150 + 0.561981i \(0.810039\pi\)
\(240\) −1.67844 + 4.27659i −0.108343 + 0.276053i
\(241\) −16.8354 + 24.6930i −1.08446 + 1.59062i −0.318281 + 0.947996i \(0.603106\pi\)
−0.766184 + 0.642622i \(0.777847\pi\)
\(242\) −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 0.985008 0.172506i \(-0.0551864\pi\)
−0.641899 + 0.766789i \(0.721853\pi\)
\(252\) −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 −0.393314 0.919404i \(-0.628671\pi\)
0.712156 + 0.702022i \(0.247719\pi\)
\(264\) −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 0.420618 0.907238i \(-0.361813\pi\)
−0.0146721 + 0.999892i \(0.504670\pi\)
\(270\) 0.254604 + 0.648721i 0.0154947 + 0.0394799i
\(271\) −1.52616 20.3651i −0.0927073 1.23709i −0.828540 0.559930i \(-0.810828\pi\)
0.735833 0.677163i \(-0.236791\pi\)
\(272\) −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 −0.938480 0.345335i \(-0.887765\pi\)
0.969942 + 0.243335i \(0.0782416\pi\)
\(278\) −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 0.281137 0.959668i \(-0.409288\pi\)
−0.935975 + 0.352067i \(0.885479\pi\)
\(282\) 12.6500 41.0102i 0.753295 2.44212i
\(283\) 20.8273 + 8.17411i 1.23805 + 0.485900i 0.891881 0.452270i \(-0.149386\pi\)
0.346173 + 0.938171i \(0.387481\pi\)
\(284\) 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 0.230809 0.972999i \(-0.425863\pi\)
−0.616814 + 0.787109i \(0.711577\pi\)
\(294\) −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 −0.647918 0.761710i \(-0.724360\pi\)
0.983619 + 0.180259i \(0.0576936\pi\)
\(308\) −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 0.216685 0.976242i \(-0.430476\pi\)
0.0687636 + 0.997633i \(0.478095\pi\)
\(312\) 103.616 + 23.6497i 5.86611 + 1.33890i
\(313\) −16.0628 + 6.30420i −0.907925 + 0.356334i −0.772915 0.634510i \(-0.781202\pi\)
−0.135010 + 0.990844i \(0.543107\pi\)
\(314\) −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 −0.999494 0.0318054i \(-0.989874\pi\)
0.598308 0.801266i \(-0.295840\pi\)
\(318\) 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 0.993818 + 0.111025i \(0.0354132\pi\)
−0.966170 + 0.257905i \(0.916968\pi\)
\(332\) −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 −0.356856 0.934160i \(-0.616151\pi\)
0.630578 + 0.776126i \(0.282818\pi\)
\(338\) 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 0.999993 + 0.00380325i \(0.00121062\pi\)
−0.954445 + 0.298387i \(0.903551\pi\)
\(348\) 16.8242 + 73.7115i 0.901870 + 3.95135i
\(349\) −18.8529 + 12.8537i −1.00917 + 0.688042i −0.950657 0.310245i \(-0.899589\pi\)
−0.0585154 + 0.998287i \(0.518637\pi\)
\(350\) −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 0.559725 0.828678i \(-0.310907\pi\)
0.929278 + 0.369382i \(0.120430\pi\)
\(354\) 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 −0.368230 0.929735i \(-0.620036\pi\)
0.899617 + 0.436680i \(0.143846\pi\)
\(360\) −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 −0.869653 0.493664i \(-0.835657\pi\)
0.557273 + 0.830329i \(0.311848\pi\)
\(368\) 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 0.942855 0.333204i \(-0.108130\pi\)
0.802753 + 0.596312i \(0.203368\pi\)
\(374\) 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 −0.801221 0.598369i \(-0.795816\pi\)
0.967377 + 0.253343i \(0.0815300\pi\)
\(380\) 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 0.905403 0.424553i \(-0.139569\pi\)
−0.999947 + 0.0103301i \(0.996712\pi\)
\(384\) 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 −0.832003 0.554771i \(-0.812806\pi\)
0.726000 + 0.687695i \(0.241377\pi\)
\(390\) −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 −0.817079 0.576525i \(-0.804408\pi\)
−0.893880 + 0.448307i \(0.852027\pi\)
\(398\) 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 0.402054 + 0.915616i \(0.368296\pi\)
−0.654074 + 0.756430i \(0.726942\pi\)
\(402\) 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 0.727885 0.685700i \(-0.240504\pi\)
−0.830477 + 0.557053i \(0.811932\pi\)
\(410\) −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 0.386801 0.922163i \(-0.373580\pi\)
−0.0516165 + 0.998667i \(0.516437\pi\)
\(420\) 0.614430 + 0.0460452i 0.0299811 + 0.00224678i
\(421\) −30.8577 + 9.51835i −1.50391 + 0.463896i −0.933838 0.357696i \(-0.883562\pi\)
−0.570076 + 0.821592i \(0.693086\pi\)
\(422\) −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 \(0.149850\pi\)
−0.891221 + 0.453569i \(0.850150\pi\)
\(432\) 20.5256 + 16.3686i 0.987537 + 0.787534i
\(433\) −3.37874 + 0.509263i −0.162372 + 0.0244736i −0.229725 0.973256i \(-0.573783\pi\)
0.0673531 + 0.997729i \(0.478545\pi\)
\(434\) −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 −0.939313 0.343062i \(-0.888536\pi\)
0.582843 0.812585i \(-0.301940\pi\)
\(440\) 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 0.770481 + 0.637463i \(0.220016\pi\)
−0.666866 + 0.745177i \(0.732365\pi\)
\(444\) −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 0.800666 + 0.599111i \(0.204479\pi\)
−0.999033 + 0.0439778i \(0.985997\pi\)
\(450\) −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 −0.861699 0.507420i \(-0.830599\pi\)
−0.140543 + 0.990075i \(0.544885\pi\)
\(458\) −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 0.789040 0.614342i \(-0.210578\pi\)
−0.996266 + 0.0863388i \(0.972483\pi\)
\(462\) 7.98834 + 1.82329i 0.371651 + 0.0848270i
\(463\) 2.22322 29.6668i 0.103322 1.37873i −0.668886 0.743365i \(-0.733229\pi\)
0.772208 0.635369i \(-0.219152\pi\)
\(464\) 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 −0.985931 0.167153i \(-0.946543\pi\)
0.637724 + 0.770265i \(0.279876\pi\)
\(468\) −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 0.535724 0.844393i \(-0.320039\pi\)
−0.463404 + 0.886147i \(0.653372\pi\)
\(480\) −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 −0.995165 0.0982173i \(-0.968686\pi\)
0.979903 + 0.199476i \(0.0639241\pi\)
\(488\) −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 −0.704253 0.709949i \(-0.748718\pi\)
0.999142 0.0414162i \(-0.0131870\pi\)
\(492\) −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 −0.854331 0.519729i \(-0.826033\pi\)
0.795925 + 0.605396i \(0.206985\pi\)
\(500\) −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 −0.691149 0.722712i \(-0.742895\pi\)
−0.575715 + 0.817651i \(0.695276\pi\)
\(504\) 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 0.580163 0.814500i \(-0.302989\pi\)
−0.995459 + 0.0951861i \(0.969655\pi\)
\(510\) −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 0.925004 0.379957i \(-0.124061\pi\)
−0.691634 + 0.722248i \(0.743109\pi\)
\(522\) −31.8040 18.3621i −1.39202 0.803686i
\(523\) 11.2137 + 19.4228i 0.490342 + 0.849298i 0.999938 0.0111161i \(-0.00353842\pi\)
−0.509596 + 0.860414i \(0.670205\pi\)
\(524\) 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 0.704421 0.709782i \(-0.251207\pi\)
0.0336028 + 0.999435i \(0.489302\pi\)
\(542\) 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 −0.919134 0.393944i \(-0.871110\pi\)
−0.405823 + 0.913952i \(0.633015\pi\)
\(548\) 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 −0.894033 0.448001i \(-0.852136\pi\)
0.635710 + 0.771928i \(0.280707\pi\)
\(558\) 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 0.982794 + 0.184702i \(0.0591321\pi\)
−0.805328 + 0.592830i \(0.798011\pi\)
\(564\) 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 −0.809558 0.587040i \(-0.800293\pi\)
0.888010 0.459825i \(-0.152088\pi\)
\(570\) −1.41164 + 6.18481i −0.0591272 + 0.259053i
\(571\) 14.7382 5.78430i 0.616773 0.242066i −0.0363237 0.999340i \(-0.511565\pi\)
0.653097 + 0.757275i \(0.273469\pi\)
\(572\) −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 −0.683421 0.730025i \(-0.739509\pi\)
0.997526 0.0703016i \(-0.0223962\pi\)
\(578\) 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 −0.688547 0.725192i \(-0.741751\pi\)
0.671709 + 0.740815i \(0.265561\pi\)
\(588\) 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 0.124985 0.992159i \(-0.460112\pi\)
0.662171 + 0.749353i \(0.269635\pi\)
\(594\) −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 0.0468223 0.998903i \(-0.485091\pi\)
0.339174 + 0.940724i \(0.389852\pi\)
\(600\) −82.1480 65.5109i −3.35368 2.67447i
\(601\) 38.6187i 1.57529i −0.616129 0.787646i \(-0.711300\pi\)
0.616129 0.787646i \(-0.288700\pi\)
\(602\) 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 0.568192 0.822896i \(-0.307643\pi\)
−0.973596 + 0.228277i \(0.926691\pi\)
\(608\) 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 −0.987694 0.156397i \(-0.950012\pi\)
0.957740 + 0.287636i \(0.0928692\pi\)
\(614\) 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 0.150545 0.988603i \(-0.451897\pi\)
−0.997089 + 0.0762461i \(0.975707\pi\)
\(618\) 6.82572 + 14.1737i 0.274571 + 0.570152i
\(619\) −12.6868 + 18.6082i −0.509927 + 0.747926i −0.991728 0.128355i \(-0.959030\pi\)
0.481801 + 0.876281i \(0.339983\pi\)
\(620\) 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 −0.709366 0.704840i \(-0.751019\pi\)
−0.885606 + 0.464436i \(0.846257\pi\)
\(632\) 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 −0.462635 0.886549i \(-0.653096\pi\)
−0.0321603 + 0.999483i \(0.510239\pi\)
\(642\) 86.7420 13.0743i 3.42343 0.516000i
\(643\) 35.8772 + 28.6111i 1.41486 + 1.12831i 0.972887 + 0.231282i \(0.0742921\pi\)
0.441971 + 0.897029i \(0.354279\pi\)
\(644\) −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 −0.651619 0.758546i \(-0.725910\pi\)
0.884527 + 0.466489i \(0.154481\pi\)
\(648\) −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 −0.345442 0.938440i \(-0.612271\pi\)
0.949082 0.315030i \(-0.102015\pi\)
\(654\) 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 0.514088 0.857737i \(-0.328130\pi\)
0.238426 + 0.971161i \(0.423369\pi\)
\(660\) 4.34791 + 4.68593i 0.169242 + 0.182399i
\(661\) 42.7897 20.6064i 1.66433 0.801498i 0.665865 0.746073i \(-0.268063\pi\)
0.998463 0.0554253i \(-0.0176515\pi\)
\(662\) −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 0.240679 0.970605i \(-0.422630\pi\)
−0.985877 + 0.167473i \(0.946439\pi\)
\(674\) −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 0.778188 0.628032i \(-0.216139\pi\)
0.428630 + 0.903480i \(0.358996\pi\)
\(678\) −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 0.468838 0.883284i \(-0.344673\pi\)
−0.993512 + 0.113729i \(0.963721\pi\)
\(684\) 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 0.925881 + 0.377815i \(0.123325\pi\)
−0.773384 + 0.633938i \(0.781437\pi\)
\(692\) 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 0.971574 + 0.236736i \(0.0760776\pi\)
−0.925439 + 0.378897i \(0.876303\pi\)
\(702\) −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 0.0354134 0.999373i \(-0.488725\pi\)
0.982197 + 0.187856i \(0.0601538\pi\)
\(710\) −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 −0.223514 0.974701i \(-0.571753\pi\)
0.499117 + 0.866534i \(0.333658\pi\)
\(720\) 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 −0.948825 0.315803i \(-0.897726\pi\)
0.717840 0.696208i \(-0.245131\pi\)
\(728\) −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 −0.834647 0.550785i \(-0.814329\pi\)
0.722702 + 0.691160i \(0.242900\pi\)
\(734\) −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 0.210367 0.977623i \(-0.432534\pi\)
−0.633175 + 0.774009i \(0.718248\pi\)
\(740\) 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 −0.679709 0.733482i \(-0.737894\pi\)
0.000633105 1.00000i \(0.499798\pi\)
\(744\) −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 −0.864269 0.503030i \(-0.832219\pi\)
0.566210 + 0.824261i \(0.308409\pi\)
\(752\) 61.9897 + 77.7327i 2.26053 +