Properties

Label 731.2.z.a.67.2
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 67.2
Character \(\chi\) = 731.67
Dual form 731.2.z.a.611.2

$q$-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} +(3.50997 - 2.16336i) 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} +(-1.35222 + 11.1351i) 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} +(6.07031 + 7.17844i) 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} +(-15.6102 - 15.8825i) 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 \(0.181063\pi\)
−0.646334 + 0.763055i \(0.723699\pi\)
\(4\) −1.20187 5.26573i −0.600935 2.63287i
\(5\) −0.0789863 0.115852i −0.0353238 0.0518104i 0.808171 0.588948i \(-0.200458\pi\)
−0.843494 + 0.537138i \(0.819505\pi\)
\(6\) −5.37192 3.10148i −2.19308 1.26617i
\(7\) 0.309020 0.178413i 0.116799 0.0674338i −0.440463 0.897771i \(-0.645186\pi\)
0.557261 + 0.830337i \(0.311852\pi\)
\(8\) 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 \(-0.240107\pi\)
0.359451 + 0.933164i \(0.382964\pi\)
\(12\) 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
\(17\) 3.50997 2.16336i 0.851292 0.524692i
\(18\) 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 −0.131738 0.991285i \(-0.542056\pi\)
0.998358 + 0.0572906i \(0.0182462\pi\)
\(24\) −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 \(0.240688\pi\)
−0.897405 + 0.441207i \(0.854550\pi\)
\(30\) 0.0649967 + 0.867320i 0.0118667 + 0.158350i
\(31\) −8.32384 + 3.26687i −1.49501 + 0.586746i −0.965232 0.261393i \(-0.915818\pi\)
−0.529773 + 0.848139i \(0.677723\pi\)
\(32\) 4.58134 20.0722i 0.809874 3.54829i
\(33\) −0.630773 + 8.41709i −0.109804 + 1.46523i
\(34\) −1.35222 + 11.1351i −0.231904 + 1.90966i
\(35\) −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 \(-0.532906\pi\)
−0.912998 + 0.407963i \(0.866239\pi\)
\(38\) −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 \(-0.413591\pi\)
−0.879559 + 0.475790i \(0.842162\pi\)
\(42\) −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
\(51\) 6.07031 + 7.17844i 0.850014 + 1.00518i
\(52\) 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 0.747835 0.663884i \(-0.231093\pi\)
0.0966462 + 0.995319i \(0.469188\pi\)
\(62\) 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 \(0.534698\pi\)
\(68\) −15.6102 15.8825i −1.89301 1.92603i
\(69\) 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 \(-0.371904\pi\)
−0.946809 + 0.321797i \(0.895713\pi\)
\(72\) −20.1174 3.03221i −2.37086 0.357350i
\(73\) 5.47629 0.410392i 0.640952 0.0480327i 0.249710 0.968321i \(-0.419665\pi\)
0.391242 + 0.920288i \(0.372046\pi\)
\(74\) 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 \(-0.854509\pi\)
−0.0664760 + 0.997788i \(0.521176\pi\)
\(80\) 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 0.112054 0.993702i \(-0.464257\pi\)
−0.330194 + 0.943913i \(0.607114\pi\)
\(98\) −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 \(0.270365\pi\)
\(102\) −25.5649 + 0.735293i −2.53130 + 0.0728049i
\(103\) 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 −0.989514 0.144440i \(-0.953862\pi\)
−0.0793690 + 0.996845i \(0.525291\pi\)
\(108\) 7.71472 6.15229i 0.742350 0.592004i
\(109\) −4.06261 + 4.37845i −0.389127 + 0.419379i −0.896985 0.442062i \(-0.854247\pi\)
0.507857 + 0.861441i \(0.330438\pi\)
\(110\) 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 \(-0.906722\pi\)
0.371065 0.928607i \(-0.378993\pi\)
\(114\) −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
\(119\) 0.698681 1.29475i 0.0640479 0.118689i
\(120\) 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 0.617847 0.786298i \(-0.288005\pi\)
−0.629100 + 0.777324i \(0.716577\pi\)
\(132\) 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
\(136\) 37.9461 3.94357i 3.25385 0.338158i
\(137\) 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 −0.0561535 0.998422i \(-0.517884\pi\)
−0.204333 + 0.978901i \(0.565503\pi\)
\(140\) −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
\(153\) −5.97260 + 6.82012i −0.482856 + 0.551374i
\(154\) −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 \(-0.867545\pi\)
0.528030 0.849226i \(-0.322931\pi\)
\(164\) −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 \(-0.299064\pi\)
−0.967091 + 0.254430i \(0.918112\pi\)
\(168\) 1.67514 + 7.33929i 0.129240 + 0.566238i
\(169\) −12.2399 + 1.84487i −0.941533 + 0.141913i
\(170\) 1.39683 0.722866i 0.107132 0.0554413i
\(171\) −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 0.539687 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 \(0.0125552\pi\)
−0.803383 + 0.595463i \(0.796969\pi\)
\(182\) −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
\(187\) 14.4500 4.91645i 1.05669 0.359527i
\(188\) −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 −0.999455 0.0330224i \(-0.989487\pi\)
−0.190205 + 0.981744i \(0.560915\pi\)
\(194\) 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 \(-0.145276\pi\)
0.358256 + 0.933623i \(0.383371\pi\)
\(198\) 12.4741 18.2961i 0.886493 1.30025i
\(199\) 1.58942 + 3.30047i 0.112671 + 0.233964i 0.949678 0.313229i \(-0.101411\pi\)
−0.837006 + 0.547193i \(0.815696\pi\)
\(200\) 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
\(204\) 30.5040 40.5922i 2.13571 2.84202i
\(205\) −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 \(-0.783817\pi\)
−0.428507 + 0.903539i \(0.640960\pi\)
\(212\) −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
\(221\) 12.1892 + 16.8182i 0.819935 + 1.13132i
\(222\) 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 −0.0849736 0.996383i \(-0.527081\pi\)
0.615423 + 0.788197i \(0.288985\pi\)
\(228\) 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 0.649445 0.760408i \(-0.275001\pi\)
−0.0411317 + 0.999154i \(0.513096\pi\)
\(234\) 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
\(238\) 1.56879 + 3.68224i 0.101689 + 0.238684i
\(239\) −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 \(-0.396894\pi\)
0.766184 0.642622i \(-0.222153\pi\)
\(242\) −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
\(255\) 0.352162 1.27025i 0.0220533 0.0795464i
\(256\) 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 0.0146721 0.999892i \(-0.495330\pi\)
−0.420618 + 0.907238i \(0.638187\pi\)
\(270\) 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 \(-0.236791\pi\)
\(272\) −31.9553 + 49.8937i −1.93757 + 3.02525i
\(273\) −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 \(-0.921758\pi\)
0.938480 + 0.345335i \(0.112235\pi\)
\(278\) 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 −0.346173 0.938171i \(-0.612519\pi\)
−0.891881 + 0.452270i \(0.850614\pi\)
\(284\) −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
\(289\) 7.63976 15.1866i 0.449398 0.893332i
\(290\) −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
\(306\) −4.37548 24.2719i −0.250129 1.38753i
\(307\) 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 −0.0687636 0.997633i \(-0.521905\pi\)
−0.216685 + 0.976242i \(0.569524\pi\)
\(312\) −103.616 23.6497i −5.86611 1.33890i
\(313\) 16.0628 6.30420i 0.907925 0.356334i 0.135010 0.990844i \(-0.456893\pi\)
0.772915 + 0.634510i \(0.218798\pi\)
\(314\) −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 \(0.0101257\pi\)
−0.598308 + 0.801266i \(0.704160\pi\)
\(318\) −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
\(323\) 29.1149 7.53214i 1.62000 0.419099i
\(324\) 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 −0.630578 0.776126i \(-0.717182\pi\)
0.356856 + 0.934160i \(0.383849\pi\)
\(338\) 16.8375 29.1633i 0.915837 1.58628i
\(339\) 27.0610 18.4499i 1.46975 1.00206i
\(340\) −0.607020 + 3.06297i −0.0329203 + 0.166113i
\(341\) −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 \(-0.998789\pi\)
0.954445 0.298387i \(-0.0964487\pi\)
\(348\) 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
\(357\) 3.15658 + 1.13526i 0.167064 + 0.0600844i
\(358\) 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 −0.557273 0.830329i \(-0.688152\pi\)
0.869653 + 0.493664i \(0.164343\pi\)
\(368\) −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 \(0.203368\pi\)
\(374\) −14.0530 + 39.0741i −0.726662 + 2.02047i
\(375\) −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 \(-0.918470\pi\)
0.801221 + 0.598369i \(0.204184\pi\)
\(380\) −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
\(391\) 4.89772 24.7134i 0.247688 1.24981i
\(392\) −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 \(-0.147973\pi\)
0.817079 + 0.576525i \(0.195592\pi\)
\(398\) −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 \(-0.631704\pi\)
0.654074 0.756430i \(-0.273058\pi\)
\(402\) −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
\(408\) 21.7863 + 84.2135i 1.07859 + 4.16919i
\(409\) −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 0.0516165 0.998667i \(-0.483563\pi\)
−0.386801 + 0.922163i \(0.626420\pi\)
\(420\) −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
\(425\) −3.64301 20.2087i −0.176712 0.980267i
\(426\) 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 −0.229725 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 \(0.111464\pi\)
−0.582843 + 0.812585i \(0.698060\pi\)
\(440\) 0.358919 4.78944i 0.0171108 0.228328i
\(441\) 3.36257 14.7324i 0.160122 0.701542i
\(442\) −56.4474 2.60101i −2.68493 0.123717i
\(443\) 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 \(-0.795521\pi\)
0.999033 0.0439778i \(-0.0140031\pi\)
\(450\) −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
\(459\) 6.34315 + 4.06258i 0.296073 + 0.189625i
\(460\) 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
\(476\) −7.65751 2.12295i −0.350981 0.0973053i
\(477\) 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 \(-0.346628\pi\)
−0.535724 + 0.844393i \(0.679961\pi\)
\(480\) −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 \(-0.936076\pi\)
0.995165 + 0.0982173i \(0.0313140\pi\)
\(488\) 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
\(493\) 9.92168 + 23.2880i 0.446850 + 1.04884i
\(494\) −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 \(-0.793015\pi\)
0.854331 + 0.519729i \(0.173967\pi\)
\(500\) 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 \(-0.304724\pi\)
0.691149 + 0.722712i \(0.257105\pi\)
\(504\) −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 \(0.969655\pi\)
\(510\) 2.10446 + 2.90366i 0.0931871 + 0.128576i
\(511\) 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 \(-0.256891\pi\)
−0.925004 + 0.379957i \(0.875939\pi\)
\(522\) 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
\(527\) −22.1490 + 29.4740i −0.964826 + 1.28391i
\(528\) −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 \(-0.510698\pi\)
−0.704421 + 0.709782i \(0.748793\pi\)
\(542\) 45.9048 + 31.2974i 1.97178 + 1.34434i
\(543\) −18.3627 + 8.84302i −0.788020 + 0.379490i
\(544\) −27.3429 80.3637i −1.17232 3.44557i
\(545\) 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 \(-0.366985\pi\)
0.919134 + 0.393944i \(0.128890\pi\)
\(548\) 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
\(561\) 15.9952 + 30.9083i 0.675317 + 1.30495i
\(562\) 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 −0.653097 0.757275i \(-0.726531\pi\)
0.0363237 + 0.999340i \(0.488435\pi\)
\(572\) 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 \(-0.0223962\pi\)
\(578\) 19.3430 + 42.0093i 0.804564 + 1.74736i
\(579\) −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
\(595\) −0.205185 + 0.0213239i −0.00841175 + 0.000874195i
\(596\) 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 \(0.288700\pi\)
−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 \(-0.0733092\pi\)
−0.568192 + 0.822896i \(0.692357\pi\)
\(608\) 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
\(612\) 43.0912 + 23.2532i 1.74186 + 0.939956i
\(613\) −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 0.997089 0.0762461i \(-0.0242935\pi\)
−0.150545 + 0.988603i \(0.548103\pi\)
\(618\) −6.82572 14.1737i −0.274571 0.570152i
\(619\) 12.6868 18.6082i 0.509927 0.747926i −0.481801 0.876281i \(-0.660017\pi\)
0.991728 + 0.128355i \(0.0409696\pi\)
\(620\) 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
\(629\) −29.4165 + 0.846072i −1.17291 + 0.0337351i
\(630\) −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 0.0321603 0.999483i \(-0.489761\pi\)
0.462635 + 0.886549i \(0.346904\pi\)
\(642\) 86.7420 13.0743i 3.42343 0.516000i
\(643\) −35.8772 28.6111i −1.41486 1.12831i −0.972887 0.231282i \(-0.925708\pi\)
−0.441971 0.897029i \(-0.645721\pi\)
\(644\) −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 \(0.387729\pi\)
−0.949082 + 0.315030i \(0.897985\pi\)
\(654\) 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
\(663\) −33.7763 + 33.1972i −1.31176 + 1.28927i
\(664\) 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 \(-0.0535606\pi\)
−0.240679 + 0.970605i \(0.577370\pi\)
\(674\) 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 \(-0.641004\pi\)
−0.778188 + 0.628032i \(0.783861\pi\)
\(678\) −6.65860 + 88.8529i −0.255722 + 3.41237i
\(679\) −0.751395 + 0.231775i −0.0288359 + 0.00889469i
\(680\) −3.45409 4.08463i −0.132458 0.156639i
\(681\) 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 \(-0.0362794\pi\)
−0.468838 + 0.883284i \(0.655327\pi\)
\(684\) 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 \(-0.876675\pi\)
0.773384 0.633938i \(-0.218563\pi\)
\(692\) −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
\(697\) −20.4957 2.48895i −0.776331 0.0942756i
\(698\) 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 −0.982197 0.187856i \(-0.939846\pi\)
−0.0354134 + 0.999373i \(0.511275\pi\)
\(710\) −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
\(714\) −7.76888 + 4.78833i −0.290743 + 0.179199i
\(715\) 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 \(-0.666342\pi\)
0.223514 + 0.974701i \(0.428247\pi\)
\(720\) −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
\(731\) 25.6014 8.69292i 0.946903 0.321519i
\(732\) 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 −0.000633105 1.00000i \(-0.500202\pi\)
0.679709 + 0.733482i \(0.262106\pi\)
\(744\) −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
\(748\) −43.2557 70.1808i −1.58159 2.56606i
\(749\) −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 \(-0.691591\pi\)
0.864269 + 0.503030i \(0.167781\pi\)
\(752\)