Properties

Label 483.2.bf.a.61.4
Level $483$
Weight $2$
Character 483.61
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 61.4
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.93407 - 1.52097i) q^{2} +(0.814576 + 0.580057i) q^{3} +(0.955758 + 3.93969i) q^{4} +(2.26903 - 0.437319i) q^{5} +(-0.693197 - 2.36081i) q^{6} +(2.27494 - 1.35080i) q^{7} +(2.09940 - 4.59704i) q^{8} +(0.327068 + 0.945001i) q^{9} +O(q^{10})\) \(q+(-1.93407 - 1.52097i) q^{2} +(0.814576 + 0.580057i) q^{3} +(0.955758 + 3.93969i) q^{4} +(2.26903 - 0.437319i) q^{5} +(-0.693197 - 2.36081i) q^{6} +(2.27494 - 1.35080i) q^{7} +(2.09940 - 4.59704i) q^{8} +(0.327068 + 0.945001i) q^{9} +(-5.05360 - 2.60531i) q^{10} +(-3.37740 - 4.29472i) q^{11} +(-1.50671 + 3.76357i) q^{12} +(1.63226 + 2.53985i) q^{13} +(-6.45440 - 0.847579i) q^{14} +(2.10196 + 0.959935i) q^{15} +(-3.84571 + 1.98260i) q^{16} +(2.54757 + 2.42911i) q^{17} +(0.804744 - 2.32516i) q^{18} +(-0.307530 + 0.293230i) q^{19} +(3.89154 + 8.52128i) q^{20} +(2.63665 + 0.219269i) q^{21} +13.4432i q^{22} +(1.29572 - 4.61748i) q^{23} +(4.37666 - 2.52687i) q^{24} +(0.315393 - 0.126264i) q^{25} +(0.706122 - 7.39485i) q^{26} +(-0.281733 + 0.959493i) q^{27} +(7.49600 + 7.67152i) q^{28} +(8.46859 - 2.48660i) q^{29} +(-2.60531 - 5.05360i) q^{30} +(0.321182 + 3.36357i) q^{31} +(0.528522 + 0.101864i) q^{32} +(-0.259971 - 5.45746i) q^{33} +(-1.23259 - 8.57283i) q^{34} +(4.57117 - 4.05987i) q^{35} +(-3.41041 + 2.19174i) q^{36} +(4.10018 - 1.41909i) q^{37} +(1.04078 - 0.0993822i) q^{38} +(-0.143656 + 3.01570i) q^{39} +(2.75321 - 11.3489i) q^{40} +(-6.43137 + 5.57281i) q^{41} +(-4.76596 - 4.43434i) q^{42} +(-0.852373 + 0.389266i) q^{43} +(13.6919 - 17.4106i) q^{44} +(1.15539 + 2.00120i) q^{45} +(-9.52904 + 6.95978i) q^{46} +(-3.54815 - 2.04853i) q^{47} +(-4.28264 - 0.615751i) q^{48} +(3.35070 - 6.14596i) q^{49} +(-0.802036 - 0.235499i) q^{50} +(0.666172 + 3.45643i) q^{51} +(-8.44615 + 8.85807i) q^{52} +(5.08321 + 0.242143i) q^{53} +(2.00425 - 1.42722i) q^{54} +(-9.54158 - 8.26782i) q^{55} +(-1.43366 - 13.2938i) q^{56} +(-0.420597 + 0.0604727i) q^{57} +(-20.1609 - 8.07120i) q^{58} +(-2.72684 + 5.28934i) q^{59} +(-1.77287 + 9.19855i) q^{60} +(-3.60032 - 5.05594i) q^{61} +(4.49470 - 6.99388i) q^{62} +(2.02056 + 1.70802i) q^{63} +(4.79948 + 5.53890i) q^{64} +(4.81436 + 5.04916i) q^{65} +(-7.79782 + 10.9505i) q^{66} +(-1.94424 - 4.85649i) q^{67} +(-7.13506 + 12.3583i) q^{68} +(3.73386 - 3.00970i) q^{69} +(-15.0159 + 0.899454i) q^{70} +(1.96863 - 13.6922i) q^{71} +(5.03085 + 0.480388i) q^{72} +(-7.99707 + 1.94007i) q^{73} +(-10.0884 - 3.49164i) q^{74} +(0.330152 + 0.0800941i) q^{75} +(-1.44916 - 0.931317i) q^{76} +(-13.4847 - 5.20804i) q^{77} +(4.86462 - 5.61408i) q^{78} +(14.1029 - 0.671805i) q^{79} +(-7.85898 + 6.18037i) q^{80} +(-0.786053 + 0.618159i) q^{81} +(20.9148 - 0.996294i) q^{82} +(1.19745 - 1.38193i) q^{83} +(1.65615 + 10.5971i) q^{84} +(6.84281 + 4.39760i) q^{85} +(2.24061 + 0.543565i) q^{86} +(8.34068 + 2.88674i) q^{87} +(-26.8335 + 6.50973i) q^{88} +(7.77947 + 0.742850i) q^{89} +(0.809151 - 5.62777i) q^{90} +(7.14411 + 3.57315i) q^{91} +(19.4298 + 0.691521i) q^{92} +(-1.68944 + 2.92619i) q^{93} +(3.74663 + 9.35862i) q^{94} +(-0.569560 + 0.799835i) q^{95} +(0.371434 + 0.389549i) q^{96} +(0.0813483 + 0.0938809i) q^{97} +(-15.8283 + 6.79039i) q^{98} +(2.95387 - 4.59631i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.93407 1.52097i −1.36759 1.07549i −0.988678 0.150055i \(-0.952055\pi\)
−0.378915 0.925432i \(-0.623703\pi\)
\(3\) 0.814576 + 0.580057i 0.470296 + 0.334896i
\(4\) 0.955758 + 3.93969i 0.477879 + 1.96984i
\(5\) 2.26903 0.437319i 1.01474 0.195575i 0.345340 0.938478i \(-0.387764\pi\)
0.669399 + 0.742903i \(0.266551\pi\)
\(6\) −0.693197 2.36081i −0.282997 0.963798i
\(7\) 2.27494 1.35080i 0.859846 0.510553i
\(8\) 2.09940 4.59704i 0.742248 1.62530i
\(9\) 0.327068 + 0.945001i 0.109023 + 0.315000i
\(10\) −5.05360 2.60531i −1.59809 0.823872i
\(11\) −3.37740 4.29472i −1.01833 1.29491i −0.954903 0.296919i \(-0.904041\pi\)
−0.0634228 0.997987i \(-0.520202\pi\)
\(12\) −1.50671 + 3.76357i −0.434948 + 1.08645i
\(13\) 1.63226 + 2.53985i 0.452707 + 0.704427i 0.990326 0.138762i \(-0.0443122\pi\)
−0.537618 + 0.843188i \(0.680676\pi\)
\(14\) −6.45440 0.847579i −1.72501 0.226525i
\(15\) 2.10196 + 0.959935i 0.542725 + 0.247854i
\(16\) −3.84571 + 1.98260i −0.961427 + 0.495650i
\(17\) 2.54757 + 2.42911i 0.617877 + 0.589145i 0.932987 0.359910i \(-0.117193\pi\)
−0.315109 + 0.949055i \(0.602041\pi\)
\(18\) 0.804744 2.32516i 0.189680 0.548044i
\(19\) −0.307530 + 0.293230i −0.0705523 + 0.0672715i −0.724535 0.689238i \(-0.757945\pi\)
0.653983 + 0.756510i \(0.273097\pi\)
\(20\) 3.89154 + 8.52128i 0.870175 + 1.90542i
\(21\) 2.63665 + 0.219269i 0.575364 + 0.0478484i
\(22\) 13.4432i 2.86610i
\(23\) 1.29572 4.61748i 0.270175 0.962811i
\(24\) 4.37666 2.52687i 0.893382 0.515794i
\(25\) 0.315393 0.126264i 0.0630786 0.0252529i
\(26\) 0.706122 7.39485i 0.138482 1.45025i
\(27\) −0.281733 + 0.959493i −0.0542195 + 0.184655i
\(28\) 7.49600 + 7.67152i 1.41661 + 1.44978i
\(29\) 8.46859 2.48660i 1.57258 0.461751i 0.624827 0.780763i \(-0.285169\pi\)
0.947751 + 0.319012i \(0.103351\pi\)
\(30\) −2.60531 5.05360i −0.475663 0.922657i
\(31\) 0.321182 + 3.36357i 0.0576860 + 0.604115i 0.977382 + 0.211483i \(0.0678293\pi\)
−0.919696 + 0.392632i \(0.871565\pi\)
\(32\) 0.528522 + 0.101864i 0.0934304 + 0.0180072i
\(33\) −0.259971 5.45746i −0.0452551 0.950022i
\(34\) −1.23259 8.57283i −0.211387 1.47023i
\(35\) 4.57117 4.05987i 0.772669 0.686243i
\(36\) −3.41041 + 2.19174i −0.568402 + 0.365290i
\(37\) 4.10018 1.41909i 0.674066 0.233297i 0.0314736 0.999505i \(-0.489980\pi\)
0.642593 + 0.766208i \(0.277859\pi\)
\(38\) 1.04078 0.0993822i 0.168836 0.0161219i
\(39\) −0.143656 + 3.01570i −0.0230033 + 0.482899i
\(40\) 2.75321 11.3489i 0.435321 1.79442i
\(41\) −6.43137 + 5.57281i −1.00441 + 0.870327i −0.991568 0.129590i \(-0.958634\pi\)
−0.0128438 + 0.999918i \(0.504088\pi\)
\(42\) −4.76596 4.43434i −0.735403 0.684233i
\(43\) −0.852373 + 0.389266i −0.129986 + 0.0593624i −0.479346 0.877626i \(-0.659126\pi\)
0.349360 + 0.936988i \(0.386399\pi\)
\(44\) 13.6919 17.4106i 2.06413 2.62475i
\(45\) 1.15539 + 2.00120i 0.172236 + 0.298321i
\(46\) −9.52904 + 6.95978i −1.40498 + 1.02616i
\(47\) −3.54815 2.04853i −0.517552 0.298809i 0.218381 0.975864i \(-0.429923\pi\)
−0.735932 + 0.677055i \(0.763256\pi\)
\(48\) −4.28264 0.615751i −0.618146 0.0888760i
\(49\) 3.35070 6.14596i 0.478672 0.877994i
\(50\) −0.802036 0.235499i −0.113425 0.0333046i
\(51\) 0.666172 + 3.45643i 0.0932828 + 0.483997i
\(52\) −8.44615 + 8.85807i −1.17127 + 1.22839i
\(53\) 5.08321 + 0.242143i 0.698232 + 0.0332609i 0.393697 0.919240i \(-0.371196\pi\)
0.304535 + 0.952501i \(0.401499\pi\)
\(54\) 2.00425 1.42722i 0.272744 0.194220i
\(55\) −9.54158 8.26782i −1.28659 1.11483i
\(56\) −1.43366 13.2938i −0.191581 1.77646i
\(57\) −0.420597 + 0.0604727i −0.0557094 + 0.00800980i
\(58\) −20.1609 8.07120i −2.64725 1.05980i
\(59\) −2.72684 + 5.28934i −0.355005 + 0.688613i −0.996942 0.0781439i \(-0.975101\pi\)
0.641937 + 0.766757i \(0.278131\pi\)
\(60\) −1.77287 + 9.19855i −0.228877 + 1.18753i
\(61\) −3.60032 5.05594i −0.460974 0.647347i 0.517022 0.855972i \(-0.327041\pi\)
−0.977996 + 0.208625i \(0.933101\pi\)
\(62\) 4.49470 6.99388i 0.570827 0.888224i
\(63\) 2.02056 + 1.70802i 0.254567 + 0.215190i
\(64\) 4.79948 + 5.53890i 0.599935 + 0.692362i
\(65\) 4.81436 + 5.04916i 0.597148 + 0.626271i
\(66\) −7.79782 + 10.9505i −0.959845 + 1.34791i
\(67\) −1.94424 4.85649i −0.237527 0.593314i 0.760930 0.648833i \(-0.224743\pi\)
−0.998458 + 0.0555192i \(0.982319\pi\)
\(68\) −7.13506 + 12.3583i −0.865253 + 1.49866i
\(69\) 3.73386 3.00970i 0.449504 0.362325i
\(70\) −15.0159 + 0.899454i −1.79474 + 0.107505i
\(71\) 1.96863 13.6922i 0.233634 1.62496i −0.448535 0.893765i \(-0.648054\pi\)
0.682169 0.731194i \(-0.261037\pi\)
\(72\) 5.03085 + 0.480388i 0.592891 + 0.0566142i
\(73\) −7.99707 + 1.94007i −0.935987 + 0.227068i −0.674615 0.738170i \(-0.735690\pi\)
−0.261372 + 0.965238i \(0.584175\pi\)
\(74\) −10.0884 3.49164i −1.17276 0.405895i
\(75\) 0.330152 + 0.0800941i 0.0381227 + 0.00924847i
\(76\) −1.44916 0.931317i −0.166230 0.106829i
\(77\) −13.4847 5.20804i −1.53672 0.593511i
\(78\) 4.86462 5.61408i 0.550810 0.635669i
\(79\) 14.1029 0.671805i 1.58670 0.0755840i 0.764442 0.644693i \(-0.223015\pi\)
0.822262 + 0.569109i \(0.192712\pi\)
\(80\) −7.85898 + 6.18037i −0.878661 + 0.690987i
\(81\) −0.786053 + 0.618159i −0.0873392 + 0.0686843i
\(82\) 20.9148 0.996294i 2.30965 0.110022i
\(83\) 1.19745 1.38193i 0.131437 0.151687i −0.686216 0.727398i \(-0.740729\pi\)
0.817653 + 0.575712i \(0.195275\pi\)
\(84\) 1.65615 + 10.5971i 0.180701 + 1.15624i
\(85\) 6.84281 + 4.39760i 0.742207 + 0.476987i
\(86\) 2.24061 + 0.543565i 0.241611 + 0.0586142i
\(87\) 8.34068 + 2.88674i 0.894215 + 0.309491i
\(88\) −26.8335 + 6.50973i −2.86046 + 0.693940i
\(89\) 7.77947 + 0.742850i 0.824623 + 0.0787419i 0.498831 0.866700i \(-0.333763\pi\)
0.325792 + 0.945441i \(0.394369\pi\)
\(90\) 0.809151 5.62777i 0.0852920 0.593219i
\(91\) 7.14411 + 3.57315i 0.748906 + 0.374568i
\(92\) 19.4298 + 0.691521i 2.02570 + 0.0720960i
\(93\) −1.68944 + 2.92619i −0.175186 + 0.303432i
\(94\) 3.74663 + 9.35862i 0.386435 + 0.965268i
\(95\) −0.569560 + 0.799835i −0.0584356 + 0.0820613i
\(96\) 0.371434 + 0.389549i 0.0379093 + 0.0397582i
\(97\) 0.0813483 + 0.0938809i 0.00825967 + 0.00953216i 0.759864 0.650082i \(-0.225265\pi\)
−0.751605 + 0.659614i \(0.770720\pi\)
\(98\) −15.8283 + 6.79039i −1.59890 + 0.685933i
\(99\) 2.95387 4.59631i 0.296875 0.461947i
\(100\) 0.798882 + 1.12187i 0.0798882 + 0.112187i
\(101\) −2.58505 + 13.4125i −0.257222 + 1.33459i 0.591735 + 0.806132i \(0.298443\pi\)
−0.848957 + 0.528462i \(0.822769\pi\)
\(102\) 3.96870 7.69820i 0.392959 0.762235i
\(103\) 1.66031 + 0.664688i 0.163595 + 0.0654936i 0.452015 0.892011i \(-0.350705\pi\)
−0.288419 + 0.957504i \(0.593130\pi\)
\(104\) 15.1025 2.17141i 1.48092 0.212925i
\(105\) 6.07852 0.655530i 0.593203 0.0639732i
\(106\) −9.46297 8.19971i −0.919125 0.796427i
\(107\) −9.33808 + 6.64962i −0.902746 + 0.642843i −0.934234 0.356661i \(-0.883915\pi\)
0.0314874 + 0.999504i \(0.489976\pi\)
\(108\) −4.04937 0.192895i −0.389651 0.0185614i
\(109\) 10.1661 10.6619i 0.973733 1.02122i −0.0260349 0.999661i \(-0.508288\pi\)
0.999768 0.0215604i \(-0.00686342\pi\)
\(110\) 5.87897 + 30.5030i 0.560537 + 2.90834i
\(111\) 4.16306 + 1.22239i 0.395141 + 0.116024i
\(112\) −6.07066 + 9.70506i −0.573624 + 0.917042i
\(113\) −16.8043 2.41609i −1.58081 0.227287i −0.704741 0.709464i \(-0.748937\pi\)
−0.876074 + 0.482178i \(0.839846\pi\)
\(114\) 0.905440 + 0.522756i 0.0848022 + 0.0489606i
\(115\) 0.920701 11.0438i 0.0858558 1.02984i
\(116\) 17.8904 + 30.9870i 1.66108 + 2.87707i
\(117\) −1.86630 + 2.37319i −0.172539 + 0.219401i
\(118\) 13.3188 6.08250i 1.22610 0.559939i
\(119\) 9.07680 + 2.08482i 0.832069 + 0.191115i
\(120\) 8.82571 7.64752i 0.805673 0.698120i
\(121\) −4.44440 + 18.3201i −0.404036 + 1.66546i
\(122\) −0.726662 + 15.2545i −0.0657889 + 1.38108i
\(123\) −8.47139 + 0.808920i −0.763840 + 0.0729378i
\(124\) −12.9444 + 4.48012i −1.16245 + 0.402326i
\(125\) −9.05936 + 5.82210i −0.810294 + 0.520744i
\(126\) −1.31007 6.37663i −0.116710 0.568076i
\(127\) 1.28401 + 8.93050i 0.113938 + 0.792454i 0.964025 + 0.265812i \(0.0856401\pi\)
−0.850087 + 0.526642i \(0.823451\pi\)
\(128\) −0.909261 19.0877i −0.0803681 1.68713i
\(129\) −0.920118 0.177338i −0.0810119 0.0156138i
\(130\) −1.63170 17.0879i −0.143109 1.49871i
\(131\) 6.37835 + 12.3723i 0.557279 + 1.08097i 0.984263 + 0.176712i \(0.0565460\pi\)
−0.426983 + 0.904260i \(0.640424\pi\)
\(132\) 21.2522 6.24021i 1.84977 0.543141i
\(133\) −0.303520 + 1.08249i −0.0263185 + 0.0938638i
\(134\) −3.62626 + 12.3499i −0.313261 + 1.06687i
\(135\) −0.219654 + 2.30032i −0.0189048 + 0.197980i
\(136\) 16.5151 6.61163i 1.41615 0.566943i
\(137\) −14.0506 + 8.11212i −1.20042 + 0.693065i −0.960650 0.277763i \(-0.910407\pi\)
−0.239775 + 0.970829i \(0.577074\pi\)
\(138\) −11.7992 + 0.141883i −1.00441 + 0.0120779i
\(139\) 20.0789i 1.70307i 0.524295 + 0.851537i \(0.324329\pi\)
−0.524295 + 0.851537i \(0.675671\pi\)
\(140\) 20.3635 + 14.1287i 1.72103 + 1.19410i
\(141\) −1.70198 3.72681i −0.143332 0.313854i
\(142\) −24.6328 + 23.4873i −2.06714 + 1.97101i
\(143\) 5.39512 15.5882i 0.451163 1.30355i
\(144\) −3.13137 2.98575i −0.260947 0.248813i
\(145\) 18.1280 9.34564i 1.50545 0.776113i
\(146\) 18.4177 + 8.41107i 1.52426 + 0.696105i
\(147\) 6.29441 3.06275i 0.519154 0.252612i
\(148\) 9.50954 + 14.7971i 0.781680 + 1.21632i
\(149\) −4.88608 + 12.2048i −0.400283 + 0.999859i 0.582123 + 0.813101i \(0.302222\pi\)
−0.982406 + 0.186758i \(0.940202\pi\)
\(150\) −0.516716 0.657058i −0.0421897 0.0536486i
\(151\) 1.89965 + 0.979339i 0.154591 + 0.0796974i 0.533786 0.845619i \(-0.320769\pi\)
−0.379195 + 0.925317i \(0.623799\pi\)
\(152\) 0.702359 + 2.02933i 0.0569688 + 0.164601i
\(153\) −1.46228 + 3.20194i −0.118218 + 0.258862i
\(154\) 18.1590 + 30.5825i 1.46330 + 2.46440i
\(155\) 2.19972 + 7.49157i 0.176686 + 0.601738i
\(156\) −12.0182 + 2.31632i −0.962227 + 0.185454i
\(157\) −1.62453 6.69640i −0.129651 0.534431i −0.999178 0.0405440i \(-0.987091\pi\)
0.869526 0.493887i \(-0.164424\pi\)
\(158\) −28.2978 20.1508i −2.25125 1.60311i
\(159\) 4.00020 + 3.14579i 0.317237 + 0.249478i
\(160\) 1.24378 0.0983292
\(161\) −3.28960 12.2547i −0.259257 0.965808i
\(162\) 2.46048 0.193314
\(163\) −12.9287 10.1673i −1.01266 0.796361i −0.0334933 0.999439i \(-0.510663\pi\)
−0.979163 + 0.203078i \(0.934906\pi\)
\(164\) −28.1020 20.0113i −2.19440 1.56262i
\(165\) −2.97653 12.2694i −0.231723 0.955174i
\(166\) −4.41782 + 0.851465i −0.342889 + 0.0660865i
\(167\) −5.61115 19.1098i −0.434204 1.47876i −0.828610 0.559826i \(-0.810868\pi\)
0.394406 0.918936i \(-0.370950\pi\)
\(168\) 6.54336 11.6604i 0.504831 0.899622i
\(169\) 1.61385 3.53384i 0.124142 0.271834i
\(170\) −6.54584 18.9130i −0.502043 1.45056i
\(171\) −0.377686 0.194710i −0.0288823 0.0148899i
\(172\) −2.34825 2.98604i −0.179052 0.227683i
\(173\) −9.39021 + 23.4556i −0.713924 + 1.78330i −0.0984456 + 0.995142i \(0.531387\pi\)
−0.615478 + 0.788154i \(0.711037\pi\)
\(174\) −11.7408 18.2691i −0.890068 1.38497i
\(175\) 0.546943 0.713276i 0.0413450 0.0539186i
\(176\) 21.5032 + 9.82019i 1.62087 + 0.740224i
\(177\) −5.28934 + 2.72684i −0.397571 + 0.204962i
\(178\) −13.9162 13.2691i −1.04306 0.994558i
\(179\) −3.27973 + 9.47616i −0.245139 + 0.708281i 0.753565 + 0.657374i \(0.228333\pi\)
−0.998703 + 0.0509077i \(0.983789\pi\)
\(180\) −6.77982 + 6.46455i −0.505338 + 0.481839i
\(181\) 0.432694 + 0.947468i 0.0321619 + 0.0704247i 0.925031 0.379891i \(-0.124039\pi\)
−0.892869 + 0.450316i \(0.851311\pi\)
\(182\) −8.38255 17.7767i −0.621356 1.31769i
\(183\) 6.20684i 0.458823i
\(184\) −18.5065 15.6504i −1.36432 1.15376i
\(185\) 8.68283 5.01304i 0.638375 0.368566i
\(186\) 7.71812 3.08987i 0.565920 0.226560i
\(187\) 1.82814 19.1452i 0.133687 1.40003i
\(188\) 4.67938 15.9365i 0.341279 1.16229i
\(189\) 0.655155 + 2.56335i 0.0476555 + 0.186456i
\(190\) 2.31809 0.680653i 0.168172 0.0493797i
\(191\) −2.54653 4.93957i −0.184260 0.357415i 0.778555 0.627577i \(-0.215953\pi\)
−0.962815 + 0.270162i \(0.912923\pi\)
\(192\) 0.696667 + 7.29582i 0.0502776 + 0.526531i
\(193\) 1.07467 + 0.207125i 0.0773562 + 0.0149092i 0.227782 0.973712i \(-0.426852\pi\)
−0.150426 + 0.988621i \(0.548065\pi\)
\(194\) −0.0145432 0.305300i −0.00104414 0.0219193i
\(195\) 0.992865 + 6.90553i 0.0711006 + 0.494515i
\(196\) 27.4156 + 7.32667i 1.95826 + 0.523333i
\(197\) 1.88789 1.21327i 0.134507 0.0864421i −0.471657 0.881782i \(-0.656344\pi\)
0.606164 + 0.795340i \(0.292708\pi\)
\(198\) −12.7038 + 4.39684i −0.902822 + 0.312470i
\(199\) 14.8843 1.42128i 1.05512 0.100752i 0.446951 0.894558i \(-0.352510\pi\)
0.608170 + 0.793807i \(0.291904\pi\)
\(200\) 0.0816933 1.71495i 0.00577659 0.121265i
\(201\) 1.23330 5.08375i 0.0869906 0.358580i
\(202\) 25.3996 22.0089i 1.78711 1.54854i
\(203\) 15.9066 17.0962i 1.11643 1.19992i
\(204\) −12.9805 + 5.92802i −0.908820 + 0.415044i
\(205\) −12.1559 + 15.4574i −0.849002 + 1.07959i
\(206\) −2.20018 3.81083i −0.153294 0.265513i
\(207\) 4.78731 0.285778i 0.332741 0.0198629i
\(208\) −11.3127 6.53139i −0.784394 0.452870i
\(209\) 2.29799 + 0.330401i 0.158955 + 0.0228543i
\(210\) −12.7533 7.97739i −0.880062 0.550492i
\(211\) −26.9576 7.91548i −1.85584 0.544924i −0.999598 0.0283508i \(-0.990974\pi\)
−0.856243 0.516573i \(-0.827207\pi\)
\(212\) 3.90435 + 20.2577i 0.268152 + 1.39130i
\(213\) 9.54583 10.0114i 0.654070 0.685968i
\(214\) 28.1743 + 1.34211i 1.92596 + 0.0917447i
\(215\) −1.76382 + 1.25601i −0.120292 + 0.0856593i
\(216\) 3.81935 + 3.30949i 0.259874 + 0.225182i
\(217\) 5.27417 + 7.21807i 0.358034 + 0.489995i
\(218\) −35.8782 + 5.15851i −2.42998 + 0.349378i
\(219\) −7.63957 3.05842i −0.516235 0.206669i
\(220\) 23.4532 45.4929i 1.58121 3.06713i
\(221\) −2.01125 + 10.4354i −0.135292 + 0.701959i
\(222\) −6.19244 8.69606i −0.415609 0.583642i
\(223\) −1.12405 + 1.74906i −0.0752720 + 0.117125i −0.876849 0.480767i \(-0.840358\pi\)
0.801577 + 0.597892i \(0.203995\pi\)
\(224\) 1.33995 0.482190i 0.0895294 0.0322177i
\(225\) 0.222475 + 0.256750i 0.0148317 + 0.0171167i
\(226\) 28.8258 + 30.2317i 1.91747 + 2.01098i
\(227\) −16.5384 + 23.2249i −1.09769 + 1.54149i −0.285246 + 0.958454i \(0.592075\pi\)
−0.812445 + 0.583038i \(0.801864\pi\)
\(228\) −0.640232 1.59922i −0.0424004 0.105911i
\(229\) −5.89719 + 10.2142i −0.389697 + 0.674975i −0.992409 0.122984i \(-0.960754\pi\)
0.602712 + 0.797959i \(0.294087\pi\)
\(230\) −18.5780 + 19.9592i −1.22500 + 1.31607i
\(231\) −7.96333 12.0642i −0.523949 0.793768i
\(232\) 6.34792 44.1508i 0.416762 2.89864i
\(233\) −0.958500 0.0915257i −0.0627934 0.00599605i 0.0636120 0.997975i \(-0.479738\pi\)
−0.126405 + 0.991979i \(0.540344\pi\)
\(234\) 7.21909 1.75133i 0.471927 0.114488i
\(235\) −8.94672 3.09649i −0.583619 0.201993i
\(236\) −23.4445 5.68758i −1.52611 0.370230i
\(237\) 11.8776 + 7.63327i 0.771533 + 0.495834i
\(238\) −14.3842 17.8377i −0.932390 1.15625i
\(239\) −2.64946 + 3.05764i −0.171379 + 0.197782i −0.834941 0.550339i \(-0.814498\pi\)
0.663562 + 0.748121i \(0.269044\pi\)
\(240\) −9.98671 + 0.475725i −0.644639 + 0.0307079i
\(241\) −22.0484 + 17.3391i −1.42026 + 1.11691i −0.445084 + 0.895489i \(0.646826\pi\)
−0.975179 + 0.221418i \(0.928931\pi\)
\(242\) 36.4600 28.6724i 2.34374 1.84313i
\(243\) −0.998867 + 0.0475819i −0.0640774 + 0.00305238i
\(244\) 16.4778 19.0164i 1.05488 1.21740i
\(245\) 4.91509 15.4107i 0.314013 0.984551i
\(246\) 17.6146 + 11.3202i 1.12306 + 0.721750i
\(247\) −1.24673 0.302453i −0.0793274 0.0192446i
\(248\) 16.1367 + 5.58498i 1.02468 + 0.354647i
\(249\) 1.77701 0.431098i 0.112614 0.0273197i
\(250\) 26.3767 + 2.51866i 1.66821 + 0.159294i
\(251\) 3.82013 26.5696i 0.241124 1.67706i −0.405382 0.914147i \(-0.632862\pi\)
0.646507 0.762908i \(-0.276229\pi\)
\(252\) −4.79789 + 9.59284i −0.302238 + 0.604292i
\(253\) −24.2069 + 10.0304i −1.52188 + 0.630603i
\(254\) 11.0996 19.2251i 0.696453 1.20629i
\(255\) 3.02312 + 7.55140i 0.189315 + 0.472887i
\(256\) −18.7708 + 26.3599i −1.17317 + 1.64749i
\(257\) 12.6310 + 13.2470i 0.787900 + 0.826325i 0.988162 0.153417i \(-0.0490278\pi\)
−0.200262 + 0.979742i \(0.564179\pi\)
\(258\) 1.50985 + 1.74245i 0.0939989 + 0.108480i
\(259\) 7.41078 8.76685i 0.460483 0.544746i
\(260\) −15.2907 + 23.7929i −0.948291 + 1.47557i
\(261\) 5.11965 + 7.18954i 0.316898 + 0.445021i
\(262\) 6.48167 33.6301i 0.400439 2.07767i
\(263\) −6.67262 + 12.9431i −0.411451 + 0.798104i −0.999946 0.0103970i \(-0.996690\pi\)
0.588495 + 0.808501i \(0.299721\pi\)
\(264\) −25.6339 10.2623i −1.57766 0.631599i
\(265\) 11.6398 1.67355i 0.715029 0.102806i
\(266\) 2.23346 1.63197i 0.136942 0.100062i
\(267\) 5.90608 + 5.11765i 0.361446 + 0.313195i
\(268\) 17.2748 12.3013i 1.05523 0.751424i
\(269\) −21.9116 1.04378i −1.33598 0.0636404i −0.632611 0.774470i \(-0.718017\pi\)
−0.703365 + 0.710829i \(0.748320\pi\)
\(270\) 3.92354 4.11489i 0.238779 0.250424i
\(271\) 3.76061 + 19.5119i 0.228441 + 1.18526i 0.897145 + 0.441735i \(0.145637\pi\)
−0.668705 + 0.743528i \(0.733151\pi\)
\(272\) −14.6132 4.29081i −0.886053 0.260169i
\(273\) 3.74679 + 7.05459i 0.226766 + 0.426963i
\(274\) 39.5131 + 5.68113i 2.38707 + 0.343209i
\(275\) −1.60748 0.928079i −0.0969347 0.0559653i
\(276\) 15.4259 + 11.8337i 0.928532 + 0.712305i
\(277\) −4.20565 7.28439i −0.252693 0.437677i 0.711574 0.702612i \(-0.247983\pi\)
−0.964266 + 0.264935i \(0.914650\pi\)
\(278\) 30.5394 38.8340i 1.83163 2.32911i
\(279\) −3.07353 + 1.40363i −0.184007 + 0.0840333i
\(280\) −9.06665 29.5371i −0.541836 1.76518i
\(281\) 11.5252 9.98667i 0.687538 0.595755i −0.239422 0.970916i \(-0.576958\pi\)
0.926960 + 0.375161i \(0.122413\pi\)
\(282\) −2.37662 + 9.79656i −0.141526 + 0.583377i
\(283\) −0.113112 + 2.37451i −0.00672380 + 0.141150i 0.993009 + 0.118038i \(0.0376604\pi\)
−0.999733 + 0.0231119i \(0.992643\pi\)
\(284\) 55.8243 5.33058i 3.31256 0.316312i
\(285\) −0.927899 + 0.321149i −0.0549640 + 0.0190232i
\(286\) −34.1436 + 21.9428i −2.01896 + 1.29750i
\(287\) −7.10325 + 21.3653i −0.419291 + 1.26115i
\(288\) 0.0766008 + 0.532770i 0.00451374 + 0.0313938i
\(289\) −0.219320 4.60409i −0.0129012 0.270829i
\(290\) −49.2752 9.49702i −2.89354 0.557684i
\(291\) 0.0118081 + 0.123660i 0.000692202 + 0.00724906i
\(292\) −15.2865 29.6517i −0.894576 1.73524i
\(293\) 11.6762 3.42844i 0.682130 0.200292i 0.0777326 0.996974i \(-0.475232\pi\)
0.604398 + 0.796683i \(0.293414\pi\)
\(294\) −16.8322 3.65002i −0.981671 0.212873i
\(295\) −3.87415 + 13.1942i −0.225562 + 0.768193i
\(296\) 2.08431 21.8279i 0.121148 1.26872i
\(297\) 5.07228 2.03063i 0.294323 0.117829i
\(298\) 28.0132 16.1734i 1.62276 0.936901i
\(299\) 13.8426 4.24601i 0.800540 0.245553i
\(300\) 1.37725i 0.0795154i
\(301\) −1.41328 + 2.03694i −0.0814600 + 0.117407i
\(302\) −2.18451 4.78342i −0.125705 0.275255i
\(303\) −9.88573 + 9.42603i −0.567920 + 0.541511i
\(304\) 0.601315 1.73738i 0.0344878 0.0996459i
\(305\) −10.3803 9.89758i −0.594373 0.566734i
\(306\) 7.69820 3.96870i 0.440077 0.226875i
\(307\) −15.4562 7.05863i −0.882135 0.402857i −0.0777547 0.996973i \(-0.524775\pi\)
−0.804380 + 0.594115i \(0.797502\pi\)
\(308\) 7.62997 58.1030i 0.434758 3.31073i
\(309\) 0.966892 + 1.50451i 0.0550046 + 0.0855888i
\(310\) 7.14002 17.8349i 0.405526 1.01296i
\(311\) 7.46398 + 9.49122i 0.423243 + 0.538198i 0.950178 0.311708i \(-0.100901\pi\)
−0.526934 + 0.849906i \(0.676659\pi\)
\(312\) 13.5617 + 6.99154i 0.767780 + 0.395818i
\(313\) −3.60572 10.4180i −0.203807 0.588862i 0.796059 0.605219i \(-0.206914\pi\)
−0.999866 + 0.0163568i \(0.994793\pi\)
\(314\) −7.04306 + 15.4221i −0.397463 + 0.870322i
\(315\) 5.33166 + 2.99191i 0.300405 + 0.168575i
\(316\) 16.1257 + 54.9190i 0.907141 + 3.08944i
\(317\) 13.9290 2.68460i 0.782332 0.150782i 0.217580 0.976043i \(-0.430184\pi\)
0.564752 + 0.825260i \(0.308972\pi\)
\(318\) −2.95201 12.1684i −0.165541 0.682367i
\(319\) −39.2811 27.9719i −2.19932 1.56613i
\(320\) 13.3124 + 10.4690i 0.744187 + 0.585235i
\(321\) −11.4637 −0.639843
\(322\) −12.2768 + 28.7049i −0.684157 + 1.59966i
\(323\) −1.49574 −0.0832253
\(324\) −3.18663 2.50599i −0.177035 0.139222i
\(325\) 0.835496 + 0.594954i 0.0463450 + 0.0330021i
\(326\) 9.54095 + 39.3283i 0.528425 + 2.17820i
\(327\) 14.4655 2.78800i 0.799945 0.154177i
\(328\) 12.1164 + 41.2648i 0.669018 + 2.27847i
\(329\) −10.8390 + 0.132555i −0.597572 + 0.00730798i
\(330\) −12.9046 + 28.2571i −0.710374 + 1.55550i
\(331\) 0.427134 + 1.23412i 0.0234774 + 0.0678336i 0.956131 0.292940i \(-0.0946338\pi\)
−0.932653 + 0.360774i \(0.882513\pi\)
\(332\) 6.58884 + 3.39678i 0.361610 + 0.186423i
\(333\) 2.68208 + 3.41054i 0.146977 + 0.186896i
\(334\) −18.2131 + 45.4941i −0.996575 + 2.48932i
\(335\) −6.53537 10.1692i −0.357066 0.555605i
\(336\) −10.5745 + 4.38418i −0.576886 + 0.239177i
\(337\) 0.445252 + 0.203340i 0.0242544 + 0.0110766i 0.427505 0.904013i \(-0.359393\pi\)
−0.403251 + 0.915089i \(0.632120\pi\)
\(338\) −8.49615 + 4.38007i −0.462130 + 0.238244i
\(339\) −12.2869 11.7155i −0.667333 0.636301i
\(340\) −10.7851 + 31.1616i −0.584905 + 1.68997i
\(341\) 13.3608 12.7395i 0.723529 0.689884i
\(342\) 0.434321 + 0.951031i 0.0234854 + 0.0514259i
\(343\) −0.679291 18.5078i −0.0366783 0.999327i
\(344\) 4.73561i 0.255327i
\(345\) 7.15603 8.46198i 0.385268 0.455577i
\(346\) 53.8365 31.0825i 2.89427 1.67101i
\(347\) 10.7008 4.28396i 0.574450 0.229975i −0.0662023 0.997806i \(-0.521088\pi\)
0.640652 + 0.767831i \(0.278664\pi\)
\(348\) −3.40117 + 35.6187i −0.182322 + 1.90936i
\(349\) 1.61774 5.50950i 0.0865954 0.294917i −0.904797 0.425844i \(-0.859977\pi\)
0.991392 + 0.130927i \(0.0417954\pi\)
\(350\) −2.14269 + 0.547641i −0.114532 + 0.0292726i
\(351\) −2.89683 + 0.850585i −0.154621 + 0.0454008i
\(352\) −1.34755 2.61389i −0.0718248 0.139321i
\(353\) −0.0352952 0.369628i −0.00187858 0.0196733i 0.994484 0.104888i \(-0.0334484\pi\)
−0.996363 + 0.0852147i \(0.972842\pi\)
\(354\) 14.3774 + 2.77101i 0.764149 + 0.147278i
\(355\) −1.52096 31.9288i −0.0807239 1.69460i
\(356\) 4.50870 + 31.3587i 0.238960 + 1.66201i
\(357\) 6.18443 + 6.96331i 0.327315 + 0.368537i
\(358\) 20.7562 13.3392i 1.09700 0.704997i
\(359\) −11.1428 + 3.85655i −0.588093 + 0.203541i −0.604878 0.796318i \(-0.706778\pi\)
0.0167851 + 0.999859i \(0.494657\pi\)
\(360\) 11.6252 1.11007i 0.612702 0.0585060i
\(361\) −0.895465 + 18.7981i −0.0471297 + 0.989375i
\(362\) 0.604208 2.49058i 0.0317565 0.130902i
\(363\) −14.2470 + 12.3451i −0.747772 + 0.647948i
\(364\) −7.24904 + 31.5606i −0.379953 + 1.65423i
\(365\) −17.2971 + 7.89934i −0.905374 + 0.413470i
\(366\) −9.44041 + 12.0045i −0.493458 + 0.627483i
\(367\) −7.92980 13.7348i −0.413932 0.716951i 0.581384 0.813630i \(-0.302512\pi\)
−0.995316 + 0.0966782i \(0.969178\pi\)
\(368\) 4.17167 + 20.3264i 0.217463 + 1.05958i
\(369\) −7.36981 4.25496i −0.383657 0.221504i
\(370\) −24.4179 3.51076i −1.26942 0.182516i
\(371\) 11.8911 6.31551i 0.617354 0.327885i
\(372\) −13.1430 3.85912i −0.681430 0.200086i
\(373\) 0.0951210 + 0.493535i 0.00492518 + 0.0255542i 0.984308 0.176458i \(-0.0564640\pi\)
−0.979383 + 0.202012i \(0.935252\pi\)
\(374\) −32.6550 + 34.2475i −1.68855 + 1.77090i
\(375\) −10.7567 0.512404i −0.555473 0.0264604i
\(376\) −16.8661 + 12.0103i −0.869805 + 0.619385i
\(377\) 20.1385 + 17.4501i 1.03719 + 0.898728i
\(378\) 2.63166 5.95417i 0.135358 0.306249i
\(379\) 18.1478 2.60925i 0.932187 0.134028i 0.340544 0.940228i \(-0.389389\pi\)
0.591643 + 0.806200i \(0.298480\pi\)
\(380\) −3.69546 1.47944i −0.189573 0.0758936i
\(381\) −4.13427 + 8.01937i −0.211805 + 0.410845i
\(382\) −2.58777 + 13.4266i −0.132402 + 0.686967i
\(383\) 11.5102 + 16.1638i 0.588142 + 0.825929i 0.996206 0.0870236i \(-0.0277356\pi\)
−0.408065 + 0.912953i \(0.633796\pi\)
\(384\) 10.3313 16.0758i 0.527218 0.820367i
\(385\) −32.8747 5.92008i −1.67545 0.301715i
\(386\) −1.76345 2.03513i −0.0897571 0.103585i
\(387\) −0.646640 0.678177i −0.0328706 0.0344737i
\(388\) −0.292112 + 0.410214i −0.0148297 + 0.0208255i
\(389\) 12.9798 + 32.4220i 0.658103 + 1.64386i 0.760673 + 0.649135i \(0.224869\pi\)
−0.102571 + 0.994726i \(0.532707\pi\)
\(390\) 8.58282 14.8659i 0.434608 0.752763i
\(391\) 14.5173 8.61594i 0.734170 0.435727i
\(392\) −21.2187 28.3061i −1.07171 1.42967i
\(393\) −1.98097 + 13.7780i −0.0999269 + 0.695007i
\(394\) −5.49665 0.524867i −0.276917 0.0264424i
\(395\) 31.7061 7.69182i 1.59531 0.387018i
\(396\) 20.9312 + 7.24437i 1.05183 + 0.364043i
\(397\) −10.7172 2.59997i −0.537882 0.130489i −0.0423900 0.999101i \(-0.513497\pi\)
−0.495492 + 0.868612i \(0.665012\pi\)
\(398\) −30.9490 19.8897i −1.55133 0.996981i
\(399\) −0.875146 + 0.705712i −0.0438121 + 0.0353298i
\(400\) −0.962578 + 1.11087i −0.0481289 + 0.0555437i
\(401\) 24.7270 1.17789i 1.23481 0.0588211i 0.579999 0.814617i \(-0.303053\pi\)
0.654807 + 0.755796i \(0.272750\pi\)
\(402\) −10.1175 + 7.95650i −0.504616 + 0.396834i
\(403\) −8.01870 + 6.30598i −0.399440 + 0.314123i
\(404\) −55.3117 + 2.63482i −2.75186 + 0.131087i
\(405\) −1.51324 + 1.74637i −0.0751936 + 0.0867781i
\(406\) −56.7673 + 8.87174i −2.81731 + 0.440297i
\(407\) −19.9426 12.8163i −0.988516 0.635281i
\(408\) 17.2879 + 4.19400i 0.855878 + 0.207634i
\(409\) 1.10213 + 0.381452i 0.0544970 + 0.0188616i 0.354180 0.935177i \(-0.384760\pi\)
−0.299683 + 0.954039i \(0.596881\pi\)
\(410\) 47.0205 11.4070i 2.32218 0.563354i
\(411\) −16.1508 1.54221i −0.796659 0.0760717i
\(412\) −1.03181 + 7.17638i −0.0508335 + 0.353555i
\(413\) 0.941412 + 15.7163i 0.0463238 + 0.773350i
\(414\) −9.69364 6.72863i −0.476416 0.330694i
\(415\) 2.11270 3.65930i 0.103708 0.179628i
\(416\) 0.603966 + 1.50863i 0.0296119 + 0.0739668i
\(417\) −11.6469 + 16.3558i −0.570352 + 0.800948i
\(418\) −3.94194 4.13419i −0.192807 0.202210i
\(419\) −10.4425 12.0513i −0.510148 0.588742i 0.440988 0.897513i \(-0.354628\pi\)
−0.951137 + 0.308770i \(0.900083\pi\)
\(420\) 8.39217 + 23.3209i 0.409496 + 1.13794i
\(421\) 18.7024 29.1015i 0.911500 1.41832i 0.00320369 0.999995i \(-0.498980\pi\)
0.908296 0.418327i \(-0.137383\pi\)
\(422\) 40.0987 + 56.3108i 1.95198 + 2.74117i
\(423\) 0.775373 4.02302i 0.0376999 0.195606i
\(424\) 11.7848 22.8593i 0.572321 1.11015i
\(425\) 1.11020 + 0.444456i 0.0538525 + 0.0215593i
\(426\) −33.6893 + 4.84379i −1.63225 + 0.234682i
\(427\) −15.0201 6.63867i −0.726872 0.321268i
\(428\) −35.1224 30.4337i −1.69770 1.47107i
\(429\) 13.4368 9.56828i 0.648733 0.461961i
\(430\) 5.32171 + 0.253504i 0.256636 + 0.0122251i
\(431\) −8.71842 + 9.14361i −0.419951 + 0.440432i −0.899393 0.437142i \(-0.855991\pi\)
0.479441 + 0.877574i \(0.340839\pi\)
\(432\) −0.818830 4.24849i −0.0393960 0.204406i
\(433\) 4.07350 + 1.19609i 0.195760 + 0.0574803i 0.378143 0.925747i \(-0.376563\pi\)
−0.182383 + 0.983228i \(0.558381\pi\)
\(434\) 0.777854 21.9821i 0.0373382 1.05517i
\(435\) 20.1877 + 2.90255i 0.967924 + 0.139166i
\(436\) 51.7207 + 29.8610i 2.47697 + 1.43008i
\(437\) 0.955510 + 1.79996i 0.0457082 + 0.0861036i
\(438\) 10.1237 + 17.5347i 0.483729 + 0.837843i
\(439\) 0.248206 0.315619i 0.0118462 0.0150637i −0.780094 0.625662i \(-0.784829\pi\)
0.791940 + 0.610599i \(0.209071\pi\)
\(440\) −58.0390 + 26.5055i −2.76690 + 1.26360i
\(441\) 6.90384 + 1.15627i 0.328754 + 0.0550605i
\(442\) 19.7618 17.1237i 0.939972 0.814490i
\(443\) −2.52110 + 10.3921i −0.119781 + 0.493744i 0.880041 + 0.474897i \(0.157515\pi\)
−0.999822 + 0.0188468i \(0.994001\pi\)
\(444\) −0.836937 + 17.5695i −0.0397193 + 0.833810i
\(445\) 17.9767 1.71657i 0.852177 0.0813731i
\(446\) 4.83425 1.67315i 0.228908 0.0792259i
\(447\) −11.0596 + 7.10756i −0.523100 + 0.336176i
\(448\) 18.4004 + 6.11754i 0.869340 + 0.289026i
\(449\) 0.693546 + 4.82372i 0.0327304 + 0.227645i 0.999620 0.0275481i \(-0.00876995\pi\)
−0.966890 + 0.255193i \(0.917861\pi\)
\(450\) −0.0397735 0.834949i −0.00187494 0.0393599i
\(451\) 45.6550 + 8.79928i 2.14981 + 0.414342i
\(452\) −6.54218 68.5128i −0.307718 3.22257i
\(453\) 0.979339 + 1.89965i 0.0460133 + 0.0892534i
\(454\) 67.3107 19.7642i 3.15905 0.927580i
\(455\) 17.7728 + 4.98331i 0.833200 + 0.233621i
\(456\) −0.605004 + 2.06045i −0.0283319 + 0.0964896i
\(457\) −1.21733 + 12.7485i −0.0569444 + 0.596349i 0.921294 + 0.388866i \(0.127133\pi\)
−0.978239 + 0.207483i \(0.933473\pi\)
\(458\) 26.9411 10.7856i 1.25887 0.503977i
\(459\) −3.04845 + 1.76002i −0.142289 + 0.0821507i
\(460\) 44.3892 6.92795i 2.06966 0.323017i
\(461\) 14.8496i 0.691614i −0.938306 0.345807i \(-0.887605\pi\)
0.938306 0.345807i \(-0.112395\pi\)
\(462\) −2.94767 + 35.4450i −0.137138 + 1.64905i
\(463\) −1.58805 3.47734i −0.0738028 0.161606i 0.869135 0.494576i \(-0.164676\pi\)
−0.942937 + 0.332970i \(0.891949\pi\)
\(464\) −27.6378 + 26.3526i −1.28305 + 1.22339i
\(465\) −2.55370 + 7.37842i −0.118425 + 0.342166i
\(466\) 1.71460 + 1.63486i 0.0794272 + 0.0757337i
\(467\) −22.6616 + 11.6829i −1.04865 + 0.540618i −0.894333 0.447403i \(-0.852349\pi\)
−0.154320 + 0.988021i \(0.549319\pi\)
\(468\) −11.1333 5.08443i −0.514639 0.235028i
\(469\) −10.9832 8.42194i −0.507155 0.388889i
\(470\) 12.5939 + 19.5965i 0.580913 + 0.903919i
\(471\) 2.56099 6.39704i 0.118004 0.294760i
\(472\) 18.5906 + 23.6398i 0.855700 + 1.08811i
\(473\) 4.55059 + 2.34599i 0.209236 + 0.107869i
\(474\) −11.3621 32.8287i −0.521879 1.50787i
\(475\) −0.0599685 + 0.131313i −0.00275154 + 0.00602504i
\(476\) 0.461690 + 37.7523i 0.0211615 + 1.73038i
\(477\) 1.43373 + 4.88283i 0.0656459 + 0.223569i
\(478\) 9.77480 1.88394i 0.447089 0.0861693i
\(479\) −7.86074 32.4024i −0.359166 1.48050i −0.809222 0.587503i \(-0.800111\pi\)
0.450055 0.893001i \(-0.351404\pi\)
\(480\) 1.01315 + 0.721462i 0.0462438 + 0.0329301i
\(481\) 10.2968 + 8.09752i 0.469495 + 0.369215i
\(482\) 69.0153 3.14356
\(483\) 4.42882 11.8906i 0.201518 0.541040i
\(484\) −76.4231 −3.47378
\(485\) 0.225637 + 0.177443i 0.0102457 + 0.00805728i
\(486\) 2.00425 + 1.42722i 0.0909145 + 0.0647399i
\(487\) −1.08573 4.47543i −0.0491990 0.202801i 0.941907 0.335873i \(-0.109031\pi\)
−0.991106 + 0.133071i \(0.957516\pi\)
\(488\) −30.8009 + 5.93638i −1.39429 + 0.268727i
\(489\) −4.63384 15.7814i −0.209549 0.713660i
\(490\) −32.9452 + 22.3296i −1.48831 + 1.00875i
\(491\) 4.78218 10.4715i 0.215817 0.472573i −0.770499 0.637442i \(-0.779993\pi\)
0.986316 + 0.164869i \(0.0527200\pi\)
\(492\) −11.2835 32.6015i −0.508699 1.46979i
\(493\) 27.6146 + 14.2363i 1.24370 + 0.641171i
\(494\) 1.95123 + 2.48120i 0.0877902 + 0.111634i
\(495\) 4.69236 11.7209i 0.210906 0.526817i
\(496\) −7.90379 12.2985i −0.354891 0.552220i
\(497\) −14.0168 33.8080i −0.628738 1.51650i
\(498\) −4.09255 1.86900i −0.183391 0.0837520i
\(499\) −4.40621 + 2.27156i −0.197249 + 0.101689i −0.554021 0.832502i \(-0.686907\pi\)
0.356772 + 0.934191i \(0.383877\pi\)
\(500\) −31.5958 30.1265i −1.41301 1.34730i
\(501\) 6.51407 18.8212i 0.291027 0.840868i
\(502\) −47.7998 + 45.5770i −2.13341 + 2.03420i
\(503\) −0.155690 0.340913i −0.00694187 0.0152006i 0.906129 0.423001i \(-0.139023\pi\)
−0.913071 + 0.407800i \(0.866296\pi\)
\(504\) 12.0938 5.70279i 0.538700 0.254023i
\(505\) 31.5638i 1.40457i
\(506\) 62.0737 + 17.4186i 2.75951 + 0.774349i
\(507\) 3.36443 1.94245i 0.149420 0.0862674i
\(508\) −33.9562 + 13.5940i −1.50656 + 0.603136i
\(509\) 3.50614 36.7180i 0.155407 1.62750i −0.495688 0.868501i \(-0.665084\pi\)
0.651095 0.758996i \(-0.274310\pi\)
\(510\) 5.63851 19.2030i 0.249677 0.850323i
\(511\) −15.5722 + 15.2160i −0.688875 + 0.673114i
\(512\) 39.7258 11.6646i 1.75565 0.515505i
\(513\) −0.194710 0.377686i −0.00859668 0.0166752i
\(514\) −4.28093 44.8319i −0.188824 1.97745i
\(515\) 4.05797 + 0.782109i 0.178815 + 0.0344639i
\(516\) −0.180753 3.79447i −0.00795720 0.167042i
\(517\) 3.18570 + 22.1570i 0.140107 + 0.974465i
\(518\) −27.6670 + 5.68414i −1.21562 + 0.249747i
\(519\) −21.2546 + 13.6595i −0.932974 + 0.599586i
\(520\) 33.3184 11.5316i 1.46111 0.505695i
\(521\) 20.9227 1.99788i 0.916642 0.0875287i 0.373939 0.927453i \(-0.378007\pi\)
0.542703 + 0.839925i \(0.317401\pi\)
\(522\) 1.03331 21.6919i 0.0452268 0.949427i
\(523\) 3.72306 15.3466i 0.162798 0.671062i −0.830652 0.556792i \(-0.812032\pi\)
0.993450 0.114270i \(-0.0364528\pi\)
\(524\) −42.6467 + 36.9536i −1.86303 + 1.61433i
\(525\) 0.859267 0.263759i 0.0375015 0.0115114i
\(526\) 32.5913 14.8839i 1.42105 0.648971i
\(527\) −7.35224 + 9.34913i −0.320268 + 0.407255i
\(528\) 11.8197 + 20.4724i 0.514388 + 0.890946i
\(529\) −19.6422 11.9659i −0.854011 0.520256i
\(530\) −25.0576 14.4670i −1.08843 0.628408i
\(531\) −5.89029 0.846896i −0.255617 0.0367522i
\(532\) −4.55476 0.161174i −0.197474 0.00698778i
\(533\) −24.6518 7.23841i −1.06779 0.313530i
\(534\) −3.63898 18.8808i −0.157474 0.817053i
\(535\) −18.2803 + 19.1719i −0.790328 + 0.828873i
\(536\) −26.4072 1.25793i −1.14062 0.0543343i
\(537\) −8.16830 + 5.81662i −0.352488 + 0.251006i
\(538\) 40.7910 + 35.3456i 1.75863 + 1.52386i
\(539\) −37.7118 + 6.36706i −1.62436 + 0.274249i
\(540\) −9.27248 + 1.33318i −0.399024 + 0.0573710i
\(541\) −16.9899 6.80172i −0.730452 0.292429i −0.0235325 0.999723i \(-0.507491\pi\)
−0.706919 + 0.707294i \(0.749916\pi\)
\(542\) 22.4037 43.4571i 0.962321 1.86664i
\(543\) −0.197123 + 1.02277i −0.00845936 + 0.0438913i
\(544\) 1.09901 + 1.54334i 0.0471196 + 0.0661703i
\(545\) 18.4044 28.6379i 0.788360 1.22671i
\(546\) 3.48326 19.3428i 0.149070 0.827795i
\(547\) −14.7191 16.9868i −0.629344 0.726302i 0.348109 0.937454i \(-0.386824\pi\)
−0.977453 + 0.211152i \(0.932279\pi\)
\(548\) −45.3882 47.6018i −1.93889 2.03345i
\(549\) 3.60032 5.05594i 0.153658 0.215782i
\(550\) 1.69740 + 4.23989i 0.0723773 + 0.180790i
\(551\) −1.87520 + 3.24795i −0.0798864 + 0.138367i
\(552\) −5.99685 23.4832i −0.255243 0.999513i
\(553\) 31.1758 20.5785i 1.32573 0.875087i
\(554\) −2.94532 + 20.4852i −0.125135 + 0.870331i
\(555\) 9.98067 + 0.953039i 0.423656 + 0.0404542i
\(556\) −79.1047 + 19.1906i −3.35479 + 0.813863i
\(557\) −26.5554 9.19092i −1.12519 0.389432i −0.299803 0.954001i \(-0.596921\pi\)
−0.825386 + 0.564569i \(0.809042\pi\)
\(558\) 8.07930 + 1.96002i 0.342024 + 0.0829741i
\(559\) −2.37997 1.52951i −0.100662 0.0646915i
\(560\) −9.53029 + 24.6759i −0.402728 + 1.04275i
\(561\) 12.5945 14.5348i 0.531738 0.613659i
\(562\) −37.4800 + 1.78539i −1.58100 + 0.0753122i
\(563\) 22.8113 17.9390i 0.961382 0.756039i −0.00841233 0.999965i \(-0.502678\pi\)
0.969794 + 0.243926i \(0.0784353\pi\)
\(564\) 13.0558 10.2672i 0.549748 0.432327i
\(565\) −39.1860 + 1.86666i −1.64857 + 0.0785309i
\(566\) 3.83032 4.42042i 0.161000 0.185804i
\(567\) −0.953217 + 2.46807i −0.0400313 + 0.103649i
\(568\) −58.8104 37.7951i −2.46763 1.58585i
\(569\) 15.3643 + 3.72734i 0.644105 + 0.156258i 0.544489 0.838768i \(-0.316724\pi\)
0.0996156 + 0.995026i \(0.468239\pi\)
\(570\) 2.28308 + 0.790181i 0.0956276 + 0.0330970i
\(571\) 14.0793 3.41561i 0.589202 0.142939i 0.0699359 0.997551i \(-0.477721\pi\)
0.519266 + 0.854613i \(0.326205\pi\)
\(572\) 66.5690 + 6.35657i 2.78339 + 0.265781i
\(573\) 0.790893 5.50078i 0.0330400 0.229799i
\(574\) 46.2341 30.5181i 1.92977 1.27380i
\(575\) −0.174363 1.61992i −0.00727146 0.0675555i
\(576\) −3.66451 + 6.34711i −0.152688 + 0.264463i
\(577\) 12.3126 + 30.7553i 0.512578 + 1.28036i 0.928626 + 0.371016i \(0.120991\pi\)
−0.416048 + 0.909343i \(0.636585\pi\)
\(578\) −6.57849 + 9.23820i −0.273629 + 0.384258i
\(579\) 0.755253 + 0.792086i 0.0313872 + 0.0329180i
\(580\) 54.1449 + 62.4865i 2.24824 + 2.59461i
\(581\) 0.857419 4.76132i 0.0355717 0.197533i
\(582\) 0.165245 0.257126i 0.00684962 0.0106582i
\(583\) −16.1281 22.6487i −0.667958 0.938015i
\(584\) −7.87046 + 40.8358i −0.325682 + 1.68980i
\(585\) −3.19684 + 6.20100i −0.132173 + 0.256380i
\(586\) −27.7971 11.1283i −1.14829 0.459705i
\(587\) −16.5758 + 2.38324i −0.684157 + 0.0983669i −0.475624 0.879648i \(-0.657778\pi\)
−0.208533 + 0.978015i \(0.566869\pi\)
\(588\) 18.0822 + 21.8707i 0.745698 + 0.901934i
\(589\) −1.08507 0.940220i −0.0447096 0.0387411i
\(590\) 27.5607 19.6259i 1.13466 0.807986i
\(591\) 2.24160 + 0.106780i 0.0922070 + 0.00439236i
\(592\) −12.9546 + 13.5864i −0.532432 + 0.558398i
\(593\) −7.84658 40.7119i −0.322220 1.67184i −0.676303 0.736624i \(-0.736419\pi\)
0.354083 0.935214i \(-0.384793\pi\)
\(594\) −12.8987 3.78739i −0.529238 0.155398i
\(595\) 21.5072 + 0.761051i 0.881711 + 0.0312001i
\(596\) −52.7532 7.58476i −2.16085 0.310684i
\(597\) 12.9488 + 7.47601i 0.529960 + 0.305973i
\(598\) −33.2306 12.8421i −1.35890 0.525154i
\(599\) 0.0341618 + 0.0591700i 0.00139581 + 0.00241762i 0.866722 0.498791i \(-0.166222\pi\)
−0.865327 + 0.501208i \(0.832889\pi\)
\(600\) 1.06132 1.34957i 0.0433280 0.0550961i
\(601\) 8.60233 3.92855i 0.350896 0.160249i −0.232167 0.972676i \(-0.574581\pi\)
0.583063 + 0.812427i \(0.301854\pi\)
\(602\) 5.83149 1.79002i 0.237674 0.0729559i
\(603\) 3.95348 3.42571i 0.160998 0.139506i
\(604\) −2.04268 + 8.42004i −0.0831155 + 0.342607i
\(605\) −2.07275 + 43.5123i −0.0842692 + 1.76903i
\(606\) 33.4564 3.19469i 1.35907 0.129776i
\(607\) 26.7193 9.24763i 1.08450 0.375350i 0.274386 0.961620i \(-0.411525\pi\)
0.810116 + 0.586270i \(0.199404\pi\)
\(608\) −0.192406 + 0.123652i −0.00780310 + 0.00501475i
\(609\) 22.8739 4.69940i 0.926899 0.190429i
\(610\) 5.02227 + 34.9307i 0.203346 + 1.41430i
\(611\) −0.588565 12.3555i −0.0238108 0.499850i
\(612\) −14.0122 2.70064i −0.566411 0.109167i
\(613\) 3.68503 + 38.5914i 0.148837 + 1.55869i 0.693761 + 0.720205i \(0.255952\pi\)
−0.544924 + 0.838485i \(0.683442\pi\)
\(614\) 19.1575 + 37.1603i 0.773133 + 1.49967i
\(615\) −18.8681 + 5.54016i −0.760833 + 0.223401i
\(616\) −52.2512 + 51.0558i −2.10526 + 2.05710i
\(617\) −4.45249 + 15.1638i −0.179251 + 0.610472i 0.820022 + 0.572332i \(0.193961\pi\)
−0.999272 + 0.0381393i \(0.987857\pi\)
\(618\) 0.418282 4.38044i 0.0168258 0.176207i
\(619\) −8.88755 + 3.55804i −0.357221 + 0.143010i −0.543329 0.839520i \(-0.682837\pi\)
0.186109 + 0.982529i \(0.440412\pi\)
\(620\) −27.4120 + 15.8264i −1.10089 + 0.635602i
\(621\) 4.06539 + 2.54412i 0.163139 + 0.102092i
\(622\) 29.7091i 1.19123i
\(623\) 18.7013 8.81854i 0.749251 0.353307i
\(624\) −5.42647 11.8823i −0.217233 0.475673i
\(625\) −19.2392 + 18.3445i −0.769567 + 0.733781i
\(626\) −8.87180 + 25.6334i −0.354588 + 1.02452i
\(627\) 1.68024 + 1.60210i 0.0671022 + 0.0639818i
\(628\) 24.8291 12.8003i 0.990787 0.510786i
\(629\) 13.8926 + 6.34456i 0.553936 + 0.252974i
\(630\) −5.76120 13.8958i −0.229532 0.553623i
\(631\) 10.9899 + 17.1006i 0.437501 + 0.680764i 0.988067 0.154027i \(-0.0492244\pi\)
−0.550566 + 0.834792i \(0.685588\pi\)
\(632\) 26.5193 66.2421i 1.05488 2.63497i
\(633\) −17.3676 22.0847i −0.690301 0.877789i
\(634\) −31.0229 15.9934i −1.23208 0.635179i
\(635\) 6.81894 + 19.7020i 0.270601 + 0.781851i
\(636\) −8.57021 + 18.7662i −0.339831 + 0.744126i
\(637\) 21.0790 1.52154i 0.835180 0.0602854i
\(638\) 33.4279 + 113.845i 1.32342 + 4.50716i
\(639\) 13.5830 2.61790i 0.537334 0.103563i
\(640\) −10.4106 42.9129i −0.411514 1.69628i
\(641\) −14.3145 10.1933i −0.565389 0.402612i 0.261311 0.965255i \(-0.415845\pi\)
−0.826700 + 0.562643i \(0.809785\pi\)
\(642\) 22.1716 + 17.4360i 0.875045 + 0.688143i
\(643\) 8.69163 0.342764 0.171382 0.985205i \(-0.445177\pi\)
0.171382 + 0.985205i \(0.445177\pi\)
\(644\) 45.1358 24.6725i 1.77860 0.972234i
\(645\) −2.16533 −0.0852596
\(646\) 2.89287 + 2.27498i 0.113818 + 0.0895077i
\(647\) 16.1531 + 11.5026i 0.635043 + 0.452212i 0.851696 0.524036i \(-0.175574\pi\)
−0.216652 + 0.976249i \(0.569514\pi\)
\(648\) 1.19146 + 4.91127i 0.0468051 + 0.192933i
\(649\) 31.9259 6.15321i 1.25320 0.241534i
\(650\) −0.711000 2.42144i −0.0278877 0.0949768i
\(651\) 0.109319 + 8.93898i 0.00428454 + 0.350346i
\(652\) 27.6991 60.6526i 1.08478 2.37534i
\(653\) −3.69785 10.6842i −0.144708 0.418107i 0.849233 0.528018i \(-0.177065\pi\)
−0.993941 + 0.109911i \(0.964943\pi\)
\(654\) −32.2178 16.6094i −1.25981 0.649479i
\(655\) 19.8833 + 25.2837i 0.776904 + 0.987914i
\(656\) 13.6845 34.1822i 0.534290 1.33459i
\(657\) −4.44895 6.92271i −0.173570 0.270081i
\(658\) 21.1649 + 16.2294i 0.825095 + 0.632687i
\(659\) −15.7787 7.20590i −0.614652 0.280702i 0.0836616 0.996494i \(-0.473339\pi\)
−0.698313 + 0.715792i \(0.746066\pi\)
\(660\) 45.4929 23.4532i 1.77081 0.912915i
\(661\) −23.8981 22.7868i −0.929527 0.886302i 0.0642223 0.997936i \(-0.479543\pi\)
−0.993749 + 0.111633i \(0.964392\pi\)
\(662\) 1.05096 3.03654i 0.0408465 0.118018i
\(663\) −7.69143 + 7.33377i −0.298710 + 0.284820i
\(664\) −3.83886 8.40593i −0.148977 0.326213i
\(665\) −0.215301 + 2.58893i −0.00834900 + 0.100395i
\(666\) 10.6756i 0.413670i
\(667\) −0.508955 42.3255i −0.0197068 1.63885i
\(668\) 69.9238 40.3705i 2.70543 1.56198i
\(669\) −1.93018 + 0.772726i −0.0746249 + 0.0298753i
\(670\) −2.82723 + 29.6081i −0.109225 + 1.14386i
\(671\) −9.55412 + 32.5383i −0.368833 + 1.25613i
\(672\) 1.37119 + 0.384469i 0.0528949 + 0.0148312i
\(673\) 6.23313 1.83021i 0.240270 0.0705495i −0.159381 0.987217i \(-0.550950\pi\)
0.399650 + 0.916668i \(0.369132\pi\)
\(674\) −0.551875 1.07049i −0.0212574 0.0412336i
\(675\) 0.0322933 + 0.338190i 0.00124297 + 0.0130170i
\(676\) 15.4647 + 2.98057i 0.594795 + 0.114637i
\(677\) 1.98169 + 41.6008i 0.0761625 + 1.59885i 0.636961 + 0.770896i \(0.280191\pi\)
−0.560799 + 0.827952i \(0.689506\pi\)
\(678\) 5.94475 + 41.3466i 0.228307 + 1.58791i
\(679\) 0.311876 + 0.103689i 0.0119687 + 0.00397920i
\(680\) 34.5817 22.2243i 1.32615 0.852263i
\(681\) −26.9435 + 9.32525i −1.03248 + 0.357344i
\(682\) −45.2171 + 4.31771i −1.73145 + 0.165334i
\(683\) 2.27125 47.6795i 0.0869071 1.82440i −0.363514 0.931589i \(-0.618423\pi\)
0.450421 0.892816i \(-0.351274\pi\)
\(684\) 0.406122 1.67406i 0.0155285 0.0640092i
\(685\) −28.3336 + 24.5512i −1.08257 + 0.938054i
\(686\) −26.8360 + 36.8285i −1.02460 + 1.40612i
\(687\) −10.7285 + 4.89956i −0.409319 + 0.186930i
\(688\) 2.50622 3.18692i 0.0955487 0.121500i
\(689\) 7.68211 + 13.3058i 0.292665 + 0.506911i
\(690\) −26.7106 + 5.48195i −1.01686 + 0.208694i
\(691\) 2.28191 + 1.31746i 0.0868081 + 0.0501187i 0.542776 0.839878i \(-0.317373\pi\)
−0.455968 + 0.889996i \(0.650707\pi\)
\(692\) −101.382 14.5766i −3.85398 0.554119i
\(693\) 0.511198 14.4464i 0.0194188 0.548774i
\(694\) −27.2119 7.99013i −1.03295 0.303301i
\(695\) 8.78090 + 45.5596i 0.333079 + 1.72818i
\(696\) 30.7808 32.2820i 1.16674 1.22365i
\(697\) −29.9214 1.42533i −1.13335 0.0539882i
\(698\) −11.5086 + 8.19523i −0.435606 + 0.310194i
\(699\) −0.727681 0.630539i −0.0275234 0.0238492i
\(700\) 3.33283 + 1.47307i 0.125969 + 0.0556766i
\(701\) 17.1583 2.46699i 0.648059 0.0931768i 0.189556 0.981870i \(-0.439295\pi\)
0.458503 + 0.888693i \(0.348386\pi\)
\(702\) 6.89637 + 2.76089i 0.260287 + 0.104203i
\(703\) −0.844813 + 1.63871i −0.0318627 + 0.0618051i
\(704\) 7.57821 39.3195i 0.285615 1.48191i
\(705\) −5.49164 7.71193i −0.206827 0.290448i
\(706\) −0.493929 + 0.768569i −0.0185893 + 0.0289255i
\(707\) 12.2367 + 34.0045i 0.460209 + 1.27887i
\(708\) −15.7982 18.2321i −0.593734 0.685206i
\(709\) 15.2875 + 16.0331i 0.574135 + 0.602136i 0.945208 0.326468i \(-0.105859\pi\)
−0.371073 + 0.928604i \(0.621010\pi\)
\(710\) −45.6210 + 64.0657i −1.71213 + 2.40434i
\(711\) 5.24747 + 13.1076i 0.196796 + 0.491572i
\(712\) 19.7471 34.2030i 0.740054 1.28181i
\(713\) 15.9474 + 2.87518i 0.597234 + 0.107676i
\(714\) −1.37015 22.8738i −0.0512765 0.856031i
\(715\) 5.42467 37.7294i 0.202871 1.41100i
\(716\) −40.4677 3.86420i −1.51235 0.144412i
\(717\) −3.93179 + 0.953842i −0.146835 + 0.0356219i
\(718\) 27.4166 + 9.48896i 1.02318 + 0.354125i
\(719\) 47.6638 + 11.5631i 1.77756 + 0.431232i 0.984133 0.177432i \(-0.0567790\pi\)
0.793428 + 0.608664i \(0.208294\pi\)
\(720\) −8.41088 5.40534i −0.313455 0.201445i
\(721\) 4.67496 0.730615i 0.174105 0.0272095i
\(722\) 30.3232 34.9949i 1.12851 1.30237i
\(723\) −28.0177 + 1.33465i −1.04199 + 0.0496362i
\(724\) −3.31918 + 2.61023i −0.123356 + 0.0970084i
\(725\) 2.35697 1.85354i 0.0875355 0.0688387i
\(726\) 46.3311 2.20702i 1.71951 0.0819102i
\(727\) 8.23267 9.50100i 0.305333 0.352373i −0.582259 0.813003i \(-0.697831\pi\)
0.887592 + 0.460630i \(0.152377\pi\)
\(728\) 31.4242 25.3403i 1.16466 0.939173i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) 45.4685 + 11.0305i 1.68286 + 0.408258i
\(731\) −3.11705 1.07882i −0.115288 0.0399016i
\(732\) 24.4530 5.93224i 0.903809 0.219262i
\(733\) −9.43251 0.900696i −0.348398 0.0332680i −0.0806096 0.996746i \(-0.525687\pi\)
−0.267788 + 0.963478i \(0.586293\pi\)
\(734\) −5.55344 + 38.6250i −0.204981 + 1.42568i
\(735\) 12.9428 9.70213i 0.477401 0.357868i
\(736\) 1.15517 2.30845i 0.0425801 0.0850907i
\(737\) −14.2907 + 24.7523i −0.526406 + 0.911762i
\(738\) 7.78205 + 19.4386i 0.286461 + 0.715546i
\(739\) 5.03575 7.07172i 0.185243 0.260138i −0.711503 0.702683i \(-0.751985\pi\)
0.896746 + 0.442546i \(0.145925\pi\)
\(740\) 28.0485 + 29.4164i 1.03108 + 1.08137i
\(741\) −0.840114 0.969544i −0.0308624 0.0356171i
\(742\) −32.6038 5.87131i −1.19692 0.215543i
\(743\) 14.8204 23.0610i 0.543707 0.846025i −0.455311 0.890333i \(-0.650472\pi\)
0.999018 + 0.0443076i \(0.0141082\pi\)
\(744\) 9.90500 + 13.9096i 0.363135 + 0.509951i
\(745\) −5.74924 + 29.8299i −0.210636 + 1.09288i
\(746\) 0.566680 1.09921i 0.0207476 0.0402448i
\(747\) 1.69757 + 0.679605i 0.0621109 + 0.0248655i
\(748\) 77.1733 11.0958i 2.82173 0.405704i
\(749\) −12.2613 + 27.7413i −0.448018 + 1.01365i
\(750\) 20.0248 + 17.3516i 0.731203 + 0.633591i
\(751\) 16.1844 11.5249i 0.590577 0.420548i −0.245314 0.969444i \(-0.578891\pi\)
0.835891 + 0.548896i \(0.184952\pi\)
\(752\) 17.7066 + 0.843468i 0.645692 + 0.0307581i
\(753\) 18.5236 19.4270i 0.675039 0.707960i
\(754\) −12.4082 64.3798i −0.451880 2.34457i
\(755\) 4.73864 + 1.39139i 0.172457 + 0.0506379i
\(756\) −9.47263 + 5.03105i −0.344516 + 0.182977i
\(757\) −22.5741 3.24567i −0.820470 0.117966i −0.280718 0.959790i \(-0.590573\pi\)
−0.539751 + 0.841824i \(0.681482\pi\)
\(758\) −39.0676 22.5557i −1.41900 0.819259i
\(759\) −25.5366 5.87090i −0.926918 0.213100i
\(760\) 2.48114 + 4.29746i 0.0900003 + 0.155885i
\(761\) 29.7954 37.8879i 1.08008 1.37344i 0.157552 0.987511i \(-0.449640\pi\)
0.922530 0.385925i \(-0.126118\pi\)
\(762\) 20.1932 9.22192i 0.731522 0.334075i
\(763\) 8.72519 37.9874i 0.315873 1.37524i
\(764\) 17.0265 14.7535i 0.615997 0.533764i
\(765\) −1.91768 + 7.90477i −0.0693338 + 0.285798i
\(766\) 2.32312 48.7684i 0.0839379 1.76207i
\(767\) −17.8850 + 1.70781i −0.645791 + 0.0616655i
\(768\) −30.5804 + 10.5840i −1.10348 + 0.381917i
\(769\) −39.1744 + 25.1759i −1.41267 + 0.907866i −0.999995 0.00301417i \(-0.999041\pi\)
−0.412671 + 0.910880i \(0.635404\pi\)
\(770\) 54.5776 + 61.4511i 1.96684 + 2.21455i
\(771\) 2.60489 + 18.1174i 0.0938127 + 0.652482i
\(772\) 0.211113 + 4.43181i 0.00759813 + 0.159504i
\(773\) 43.2765 + 8.34086i 1.55655 + 0.300000i 0.893669 0.448727i \