Properties

Label 177.3.h.a.5.12
Level $177$
Weight $3$
Character 177.5
Analytic conductor $4.823$
Analytic rank $0$
Dimension $1064$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(1064\)
Relative dimension: \(38\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.12
Character \(\chi\) \(=\) 177.5
Dual form 177.3.h.a.71.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.551931 + 1.63807i) q^{2} +(-1.84525 + 2.36538i) q^{3} +(0.805720 + 0.612492i) q^{4} +(-3.83005 - 1.52603i) q^{5} +(-2.85622 - 4.32819i) q^{6} +(-0.768529 + 0.355559i) q^{7} +(-7.17084 + 4.86195i) q^{8} +(-2.19007 - 8.72947i) q^{9} +O(q^{10})\) \(q+(-0.551931 + 1.63807i) q^{2} +(-1.84525 + 2.36538i) q^{3} +(0.805720 + 0.612492i) q^{4} +(-3.83005 - 1.52603i) q^{5} +(-2.85622 - 4.32819i) q^{6} +(-0.768529 + 0.355559i) q^{7} +(-7.17084 + 4.86195i) q^{8} +(-2.19007 - 8.72947i) q^{9} +(4.61367 - 5.43163i) q^{10} +(-5.86735 - 1.62906i) q^{11} +(-2.93554 + 0.775632i) q^{12} +(-0.796435 + 1.50224i) q^{13} +(-0.158257 - 1.45515i) q^{14} +(10.6771 - 6.24361i) q^{15} +(-2.92336 - 10.5290i) q^{16} +(3.84674 - 8.31459i) q^{17} +(15.5083 + 1.23056i) q^{18} +(-11.0978 + 2.44280i) q^{19} +(-2.15126 - 3.57543i) q^{20} +(0.577098 - 2.47396i) q^{21} +(5.90689 - 8.71201i) q^{22} +(18.5671 + 3.04392i) q^{23} +(1.73165 - 25.9333i) q^{24} +(-5.80940 - 5.50296i) q^{25} +(-2.02119 - 2.13375i) q^{26} +(24.6898 + 10.9277i) q^{27} +(-0.836996 - 0.184237i) q^{28} +(-5.32592 - 15.8068i) q^{29} +(4.33449 + 20.9358i) q^{30} +(-18.2646 - 4.02034i) q^{31} +(-15.7432 - 0.853569i) q^{32} +(14.6801 - 10.8725i) q^{33} +(11.4968 + 10.8903i) q^{34} +(3.48610 - 0.189011i) q^{35} +(3.58215 - 8.37490i) q^{36} +(-20.1906 + 29.7789i) q^{37} +(2.12371 - 19.5272i) q^{38} +(-2.08374 - 4.65588i) q^{39} +(34.8841 - 7.67857i) q^{40} +(-63.2254 + 10.3653i) q^{41} +(3.73401 + 2.31078i) q^{42} +(9.03107 + 32.5270i) q^{43} +(-3.72965 - 4.90627i) q^{44} +(-4.93335 + 36.7764i) q^{45} +(-15.2339 + 28.7342i) q^{46} +(-45.4641 + 18.1146i) q^{47} +(30.2995 + 12.5138i) q^{48} +(-31.2577 + 36.7994i) q^{49} +(12.2206 - 6.47896i) q^{50} +(12.5690 + 24.4415i) q^{51} +(-1.56181 + 0.722571i) q^{52} +(28.3949 - 24.1188i) q^{53} +(-31.5274 + 34.4123i) q^{54} +(19.9862 + 15.1931i) q^{55} +(3.78228 - 6.28621i) q^{56} +(14.7000 - 30.7580i) q^{57} +28.8321 q^{58} +(-22.7571 + 54.4345i) q^{59} +(12.4269 + 1.50901i) q^{60} +(50.3733 + 16.9727i) q^{61} +(16.6664 - 27.6997i) q^{62} +(4.78698 + 5.93015i) q^{63} +(26.2658 - 65.9222i) q^{64} +(5.34284 - 4.53825i) q^{65} +(9.70752 + 30.0479i) q^{66} +(13.9393 + 20.5590i) q^{67} +(8.19201 - 4.34313i) q^{68} +(-41.4610 + 38.3014i) q^{69} +(-1.61447 + 5.81480i) q^{70} +(-63.7115 + 25.3850i) q^{71} +(58.1469 + 51.9496i) q^{72} +(-117.198 + 12.7460i) q^{73} +(-37.6362 - 49.5096i) q^{74} +(23.7364 - 3.58710i) q^{75} +(-10.4379 - 4.82908i) q^{76} +(5.08845 - 0.834210i) q^{77} +(8.77675 - 0.843589i) q^{78} +(1.48985 - 0.896414i) q^{79} +(-4.87096 + 44.7877i) q^{80} +(-71.4072 + 38.2363i) q^{81} +(17.9170 - 109.289i) q^{82} +(77.9580 - 4.22676i) q^{83} +(1.98026 - 1.63985i) q^{84} +(-27.4215 + 25.9750i) q^{85} +(-58.2661 - 3.15909i) q^{86} +(47.2167 + 16.5697i) q^{87} +(49.9942 - 16.8450i) q^{88} +(-21.6547 - 64.2687i) q^{89} +(-57.5195 - 28.3792i) q^{90} +(0.0779494 - 1.43769i) q^{91} +(13.0955 + 13.8247i) q^{92} +(43.2124 - 35.7842i) q^{93} +(-4.57991 - 84.4715i) q^{94} +(46.2327 + 7.57947i) q^{95} +(31.0692 - 35.6635i) q^{96} +(39.8660 + 4.33569i) q^{97} +(-43.0280 - 71.5131i) q^{98} +(-1.37092 + 54.7866i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} + O(q^{10}) \) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} - 94q^{10} - 29q^{12} - 54q^{13} - 12q^{15} - 158q^{16} - 27q^{18} - 30q^{19} - 18q^{21} - 142q^{22} - 23q^{24} + 108q^{25} - 32q^{27} - 70q^{28} - 131q^{30} - 18q^{31} + 17q^{33} + 90q^{34} + 67q^{36} - 170q^{37} - 91q^{39} - 2q^{40} - 43q^{42} - 222q^{43} - 461q^{45} - 54q^{46} - 1645q^{48} - 300q^{49} - 893q^{51} - 66q^{52} - 859q^{54} + 170q^{55} - 27q^{57} - 36q^{58} + 510q^{60} - 70q^{61} + 610q^{63} - 106q^{64} + 1619q^{66} - 182q^{67} + 1487q^{69} - 206q^{70} + 2241q^{72} + 134q^{73} + 542q^{75} + 246q^{76} - 273q^{78} - 122q^{79} + 127q^{81} + 122q^{82} - 329q^{84} - 6q^{85} + 54q^{87} + 38q^{88} + 347q^{90} + 274q^{91} - 483q^{93} - 826q^{94} + 693q^{96} - 474q^{97} - 523q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.551931 + 1.63807i −0.275965 + 0.819036i 0.716618 + 0.697466i \(0.245689\pi\)
−0.992583 + 0.121570i \(0.961207\pi\)
\(3\) −1.84525 + 2.36538i −0.615085 + 0.788461i
\(4\) 0.805720 + 0.612492i 0.201430 + 0.153123i
\(5\) −3.83005 1.52603i −0.766009 0.305206i −0.0457887 0.998951i \(-0.514580\pi\)
−0.720221 + 0.693745i \(0.755959\pi\)
\(6\) −2.85622 4.32819i −0.476036 0.721365i
\(7\) −0.768529 + 0.355559i −0.109790 + 0.0507942i −0.474015 0.880517i \(-0.657196\pi\)
0.364225 + 0.931311i \(0.381334\pi\)
\(8\) −7.17084 + 4.86195i −0.896355 + 0.607743i
\(9\) −2.19007 8.72947i −0.243341 0.969941i
\(10\) 4.61367 5.43163i 0.461367 0.543163i
\(11\) −5.86735 1.62906i −0.533395 0.148096i −0.00962113 0.999954i \(-0.503063\pi\)
−0.523774 + 0.851857i \(0.675476\pi\)
\(12\) −2.93554 + 0.775632i −0.244628 + 0.0646360i
\(13\) −0.796435 + 1.50224i −0.0612643 + 0.115557i −0.912253 0.409627i \(-0.865659\pi\)
0.850989 + 0.525184i \(0.176004\pi\)
\(14\) −0.158257 1.45515i −0.0113041 0.103939i
\(15\) 10.6771 6.24361i 0.711804 0.416241i
\(16\) −2.92336 10.5290i −0.182710 0.658063i
\(17\) 3.84674 8.31459i 0.226279 0.489093i −0.760869 0.648906i \(-0.775227\pi\)
0.987147 + 0.159812i \(0.0510890\pi\)
\(18\) 15.5083 + 1.23056i 0.861570 + 0.0683647i
\(19\) −11.0978 + 2.44280i −0.584093 + 0.128569i −0.497180 0.867647i \(-0.665631\pi\)
−0.0869127 + 0.996216i \(0.527700\pi\)
\(20\) −2.15126 3.57543i −0.107563 0.178771i
\(21\) 0.577098 2.47396i 0.0274808 0.117808i
\(22\) 5.90689 8.71201i 0.268495 0.396000i
\(23\) 18.5671 + 3.04392i 0.807264 + 0.132344i 0.551262 0.834332i \(-0.314146\pi\)
0.256002 + 0.966676i \(0.417595\pi\)
\(24\) 1.73165 25.9333i 0.0721521 1.08055i
\(25\) −5.80940 5.50296i −0.232376 0.220118i
\(26\) −2.02119 2.13375i −0.0777382 0.0820673i
\(27\) 24.6898 + 10.9277i 0.914436 + 0.404731i
\(28\) −0.836996 0.184237i −0.0298927 0.00657989i
\(29\) −5.32592 15.8068i −0.183652 0.545061i 0.815794 0.578343i \(-0.196300\pi\)
−0.999446 + 0.0332825i \(0.989404\pi\)
\(30\) 4.33449 + 20.9358i 0.144483 + 0.697861i
\(31\) −18.2646 4.02034i −0.589180 0.129688i −0.0896325 0.995975i \(-0.528569\pi\)
−0.499547 + 0.866287i \(0.666500\pi\)
\(32\) −15.7432 0.853569i −0.491974 0.0266740i
\(33\) 14.6801 10.8725i 0.444851 0.329469i
\(34\) 11.4968 + 10.8903i 0.338140 + 0.320303i
\(35\) 3.48610 0.189011i 0.0996027 0.00540030i
\(36\) 3.58215 8.37490i 0.0995040 0.232636i
\(37\) −20.1906 + 29.7789i −0.545692 + 0.804836i −0.996123 0.0879755i \(-0.971960\pi\)
0.450430 + 0.892812i \(0.351271\pi\)
\(38\) 2.12371 19.5272i 0.0558871 0.513873i
\(39\) −2.08374 4.65588i −0.0534292 0.119382i
\(40\) 34.8841 7.67857i 0.872103 0.191964i
\(41\) −63.2254 + 10.3653i −1.54208 + 0.252811i −0.872011 0.489486i \(-0.837184\pi\)
−0.670071 + 0.742297i \(0.733736\pi\)
\(42\) 3.73401 + 2.31078i 0.0889050 + 0.0550187i
\(43\) 9.03107 + 32.5270i 0.210025 + 0.756441i 0.991228 + 0.132164i \(0.0421926\pi\)
−0.781203 + 0.624277i \(0.785394\pi\)
\(44\) −3.72965 4.90627i −0.0847647 0.111506i
\(45\) −4.93335 + 36.7764i −0.109630 + 0.817253i
\(46\) −15.2339 + 28.7342i −0.331171 + 0.624656i
\(47\) −45.4641 + 18.1146i −0.967322 + 0.385416i −0.799677 0.600431i \(-0.794996\pi\)
−0.167645 + 0.985847i \(0.553616\pi\)
\(48\) 30.2995 + 12.5138i 0.631239 + 0.260704i
\(49\) −31.2577 + 36.7994i −0.637913 + 0.751009i
\(50\) 12.2206 6.47896i 0.244412 0.129579i
\(51\) 12.5690 + 24.4415i 0.246450 + 0.479246i
\(52\) −1.56181 + 0.722571i −0.0300348 + 0.0138956i
\(53\) 28.3949 24.1188i 0.535752 0.455072i −0.338207 0.941072i \(-0.609820\pi\)
0.873959 + 0.486000i \(0.161544\pi\)
\(54\) −31.5274 + 34.4123i −0.583842 + 0.637264i
\(55\) 19.9862 + 15.1931i 0.363386 + 0.276239i
\(56\) 3.78228 6.28621i 0.0675408 0.112254i
\(57\) 14.7000 30.7580i 0.257895 0.539615i
\(58\) 28.8321 0.497106
\(59\) −22.7571 + 54.4345i −0.385714 + 0.922618i
\(60\) 12.4269 + 1.50901i 0.207115 + 0.0251502i
\(61\) 50.3733 + 16.9727i 0.825791 + 0.278241i 0.700296 0.713853i \(-0.253051\pi\)
0.125495 + 0.992094i \(0.459948\pi\)
\(62\) 16.6664 27.6997i 0.268813 0.446770i
\(63\) 4.78698 + 5.93015i 0.0759838 + 0.0941293i
\(64\) 26.2658 65.9222i 0.410403 1.03003i
\(65\) 5.34284 4.53825i 0.0821976 0.0698192i
\(66\) 9.70752 + 30.0479i 0.147084 + 0.455271i
\(67\) 13.9393 + 20.5590i 0.208050 + 0.306851i 0.917370 0.398036i \(-0.130308\pi\)
−0.709320 + 0.704887i \(0.750998\pi\)
\(68\) 8.19201 4.34313i 0.120471 0.0638695i
\(69\) −41.4610 + 38.3014i −0.600884 + 0.555093i
\(70\) −1.61447 + 5.81480i −0.0230639 + 0.0830685i
\(71\) −63.7115 + 25.3850i −0.897345 + 0.357535i −0.772778 0.634676i \(-0.781134\pi\)
−0.124567 + 0.992211i \(0.539754\pi\)
\(72\) 58.1469 + 51.9496i 0.807595 + 0.721522i
\(73\) −117.198 + 12.7460i −1.60545 + 0.174603i −0.866505 0.499168i \(-0.833639\pi\)
−0.738940 + 0.673771i \(0.764673\pi\)
\(74\) −37.6362 49.5096i −0.508598 0.669049i
\(75\) 23.7364 3.58710i 0.316486 0.0478280i
\(76\) −10.4379 4.82908i −0.137341 0.0635405i
\(77\) 5.08845 0.834210i 0.0660838 0.0108339i
\(78\) 8.77675 0.843589i 0.112522 0.0108152i
\(79\) 1.48985 0.896414i 0.0188589 0.0113470i −0.506093 0.862479i \(-0.668911\pi\)
0.524952 + 0.851132i \(0.324083\pi\)
\(80\) −4.87096 + 44.7877i −0.0608869 + 0.559846i
\(81\) −71.4072 + 38.2363i −0.881570 + 0.472053i
\(82\) 17.9170 109.289i 0.218499 1.33279i
\(83\) 77.9580 4.22676i 0.939253 0.0509248i 0.421849 0.906666i \(-0.361381\pi\)
0.517404 + 0.855741i \(0.326898\pi\)
\(84\) 1.98026 1.63985i 0.0235745 0.0195221i
\(85\) −27.4215 + 25.9750i −0.322606 + 0.305588i
\(86\) −58.2661 3.15909i −0.677512 0.0367337i
\(87\) 47.2167 + 16.5697i 0.542721 + 0.190456i
\(88\) 49.9942 16.8450i 0.568116 0.191420i
\(89\) −21.6547 64.2687i −0.243311 0.722121i −0.997830 0.0658428i \(-0.979026\pi\)
0.754519 0.656278i \(-0.227870\pi\)
\(90\) −57.5195 28.3792i −0.639105 0.315324i
\(91\) 0.0779494 1.43769i 0.000856587 0.0157988i
\(92\) 13.0955 + 13.8247i 0.142342 + 0.150269i
\(93\) 43.2124 35.7842i 0.464650 0.384776i
\(94\) −4.57991 84.4715i −0.0487225 0.898633i
\(95\) 46.2327 + 7.57947i 0.486660 + 0.0797839i
\(96\) 31.0692 35.6635i 0.323637 0.371495i
\(97\) 39.8660 + 4.33569i 0.410989 + 0.0446978i 0.311279 0.950319i \(-0.399243\pi\)
0.0997108 + 0.995016i \(0.468208\pi\)
\(98\) −43.0280 71.5131i −0.439061 0.729726i
\(99\) −1.37092 + 54.7866i −0.0138477 + 0.553400i
\(100\) −1.31023 7.99205i −0.0131023 0.0799205i
\(101\) 5.19054 11.2192i 0.0513915 0.111081i −0.880179 0.474643i \(-0.842577\pi\)
0.931570 + 0.363562i \(0.118439\pi\)
\(102\) −46.9742 + 7.09885i −0.460531 + 0.0695965i
\(103\) 79.5088 60.4410i 0.771930 0.586806i −0.143328 0.989675i \(-0.545780\pi\)
0.915257 + 0.402869i \(0.131987\pi\)
\(104\) −1.59269 14.6445i −0.0153143 0.140813i
\(105\) −5.98565 + 8.59472i −0.0570062 + 0.0818545i
\(106\) 23.8364 + 59.8248i 0.224871 + 0.564385i
\(107\) 73.7692 + 20.4819i 0.689432 + 0.191420i 0.594538 0.804067i \(-0.297335\pi\)
0.0948941 + 0.995487i \(0.469749\pi\)
\(108\) 13.1999 + 23.9270i 0.122221 + 0.221546i
\(109\) −1.24513 2.34856i −0.0114232 0.0215464i 0.877735 0.479147i \(-0.159054\pi\)
−0.889158 + 0.457600i \(0.848709\pi\)
\(110\) −35.9184 + 24.3533i −0.326531 + 0.221394i
\(111\) −33.1818 102.708i −0.298935 0.925300i
\(112\) 5.99037 + 7.05241i 0.0534855 + 0.0629680i
\(113\) 53.3051 + 21.2387i 0.471727 + 0.187953i 0.593873 0.804559i \(-0.297598\pi\)
−0.122146 + 0.992512i \(0.538978\pi\)
\(114\) 42.2705 + 41.0560i 0.370794 + 0.360141i
\(115\) −66.4676 39.9922i −0.577979 0.347759i
\(116\) 5.39032 15.9979i 0.0464683 0.137913i
\(117\) 14.8580 + 3.66245i 0.126991 + 0.0313030i
\(118\) −76.6073 67.3219i −0.649214 0.570524i
\(119\) 7.75775i 0.0651911i
\(120\) −46.2073 + 96.6832i −0.385061 + 0.805693i
\(121\) −71.9078 43.2655i −0.594279 0.357566i
\(122\) −55.6051 + 73.1473i −0.455780 + 0.599568i
\(123\) 92.1490 168.679i 0.749179 1.37137i
\(124\) −12.2537 14.4262i −0.0988202 0.116340i
\(125\) 57.1313 + 123.487i 0.457050 + 0.987897i
\(126\) −12.3561 + 4.56838i −0.0980642 + 0.0362570i
\(127\) −39.6886 74.8606i −0.312508 0.589453i 0.676650 0.736305i \(-0.263431\pi\)
−0.989159 + 0.146851i \(0.953086\pi\)
\(128\) 45.4225 + 38.5822i 0.354863 + 0.301424i
\(129\) −93.6034 38.6586i −0.725608 0.299679i
\(130\) 4.48510 + 11.2568i 0.0345008 + 0.0865905i
\(131\) 66.4530 + 35.2312i 0.507275 + 0.268940i 0.702329 0.711852i \(-0.252143\pi\)
−0.195054 + 0.980792i \(0.562488\pi\)
\(132\) 18.4874 + 0.231267i 0.140056 + 0.00175203i
\(133\) 7.66039 5.82328i 0.0575969 0.0437840i
\(134\) −41.3707 + 11.4865i −0.308736 + 0.0857202i
\(135\) −77.8869 79.5310i −0.576940 0.589119i
\(136\) 12.8408 + 78.3252i 0.0944174 + 0.575920i
\(137\) −0.728157 3.30805i −0.00531501 0.0241464i 0.973888 0.227027i \(-0.0729006\pi\)
−0.979203 + 0.202881i \(0.934970\pi\)
\(138\) −39.8569 89.0558i −0.288818 0.645332i
\(139\) −71.5233 7.77862i −0.514556 0.0559613i −0.152842 0.988251i \(-0.548843\pi\)
−0.361714 + 0.932289i \(0.617808\pi\)
\(140\) 2.92458 + 1.98292i 0.0208899 + 0.0141637i
\(141\) 41.0450 140.966i 0.291099 0.999759i
\(142\) −6.41810 118.375i −0.0451979 0.833625i
\(143\) 7.12020 7.51670i 0.0497916 0.0525643i
\(144\) −85.5102 + 48.5787i −0.593821 + 0.337352i
\(145\) −3.72308 + 68.6681i −0.0256764 + 0.473573i
\(146\) 43.8060 199.013i 0.300041 1.36310i
\(147\) −29.3663 141.841i −0.199771 0.964903i
\(148\) −34.5073 + 11.6269i −0.233158 + 0.0785600i
\(149\) 1.60213 7.27855i 0.0107525 0.0488493i −0.970939 0.239328i \(-0.923073\pi\)
0.981691 + 0.190479i \(0.0610040\pi\)
\(150\) −7.22493 + 40.8618i −0.0481662 + 0.272412i
\(151\) 187.491 177.601i 1.24166 1.17616i 0.264333 0.964432i \(-0.414848\pi\)
0.977328 0.211732i \(-0.0679104\pi\)
\(152\) 67.7035 71.4737i 0.445417 0.470222i
\(153\) −81.0065 15.3704i −0.529455 0.100460i
\(154\) −1.44198 + 8.79568i −0.00936350 + 0.0571148i
\(155\) 63.8190 + 43.2704i 0.411736 + 0.279164i
\(156\) 1.17278 5.02761i 0.00751784 0.0322283i
\(157\) −218.455 + 131.440i −1.39144 + 0.837199i −0.996667 0.0815811i \(-0.974003\pi\)
−0.394769 + 0.918780i \(0.629175\pi\)
\(158\) 0.646096 + 2.93524i 0.00408921 + 0.0185775i
\(159\) 4.65448 + 111.670i 0.0292735 + 0.702328i
\(160\) 58.9945 + 27.2937i 0.368715 + 0.170586i
\(161\) −15.3516 + 4.26236i −0.0953517 + 0.0264743i
\(162\) −23.2220 138.074i −0.143346 0.852308i
\(163\) 190.901 20.7617i 1.17117 0.127373i 0.498215 0.867054i \(-0.333989\pi\)
0.672958 + 0.739681i \(0.265024\pi\)
\(164\) −57.2905 30.3735i −0.349333 0.185204i
\(165\) −72.8172 + 19.2399i −0.441316 + 0.116605i
\(166\) −36.1037 + 130.034i −0.217492 + 0.783336i
\(167\) 190.529 + 161.837i 1.14089 + 0.969084i 0.999781 0.0209092i \(-0.00665608\pi\)
0.141113 + 0.989994i \(0.454932\pi\)
\(168\) 7.89001 + 20.5462i 0.0469643 + 0.122299i
\(169\) 93.2182 + 137.487i 0.551587 + 0.813530i
\(170\) −27.4142 59.2548i −0.161260 0.348558i
\(171\) 45.6293 + 91.5276i 0.266838 + 0.535249i
\(172\) −12.6460 + 31.7391i −0.0735233 + 0.184530i
\(173\) −154.705 + 203.512i −0.894251 + 1.17637i 0.0893483 + 0.996000i \(0.471522\pi\)
−0.983599 + 0.180367i \(0.942272\pi\)
\(174\) −53.2026 + 68.1991i −0.305762 + 0.391949i
\(175\) 6.42132 + 2.16359i 0.0366933 + 0.0123634i
\(176\) 66.5396i 0.378066i
\(177\) −86.7657 154.275i −0.490202 0.871609i
\(178\) 117.229 0.658588
\(179\) 7.08621 21.0311i 0.0395878 0.117492i −0.926037 0.377434i \(-0.876807\pi\)
0.965624 + 0.259941i \(0.0837032\pi\)
\(180\) −26.5001 + 26.6098i −0.147223 + 0.147832i
\(181\) −66.1001 50.2480i −0.365194 0.277613i 0.406443 0.913676i \(-0.366769\pi\)
−0.771637 + 0.636063i \(0.780562\pi\)
\(182\) 2.31202 + 0.921193i 0.0127034 + 0.00506150i
\(183\) −133.098 + 87.8330i −0.727314 + 0.479962i
\(184\) −147.941 + 68.4447i −0.804026 + 0.371982i
\(185\) 122.775 83.2432i 0.663646 0.449963i
\(186\) 34.7668 + 90.5355i 0.186918 + 0.486750i
\(187\) −36.1151 + 42.5180i −0.193129 + 0.227369i
\(188\) −47.7264 13.2512i −0.253864 0.0704849i
\(189\) −22.8603 + 0.380404i −0.120954 + 0.00201272i
\(190\) −37.9330 + 71.5492i −0.199647 + 0.376575i
\(191\) −15.4496 142.057i −0.0808878 0.743751i −0.962409 0.271606i \(-0.912445\pi\)
0.881521 0.472145i \(-0.156520\pi\)
\(192\) 107.464 + 183.772i 0.559709 + 0.957145i
\(193\) 25.7830 + 92.8620i 0.133591 + 0.481150i 0.999829 0.0184806i \(-0.00588288\pi\)
−0.866239 + 0.499631i \(0.833469\pi\)
\(194\) −29.1054 + 62.9103i −0.150028 + 0.324280i
\(195\) 0.875798 + 21.0121i 0.00449127 + 0.107754i
\(196\) −47.7243 + 10.5049i −0.243491 + 0.0535965i
\(197\) 85.2183 + 141.634i 0.432580 + 0.718954i 0.994095 0.108513i \(-0.0346088\pi\)
−0.561515 + 0.827467i \(0.689781\pi\)
\(198\) −88.9877 32.4840i −0.449433 0.164061i
\(199\) −49.9559 + 73.6794i −0.251035 + 0.370248i −0.932238 0.361846i \(-0.882147\pi\)
0.681203 + 0.732094i \(0.261457\pi\)
\(200\) 68.4133 + 11.2158i 0.342067 + 0.0560790i
\(201\) −74.3516 4.96469i −0.369908 0.0247000i
\(202\) 15.5130 + 14.6947i 0.0767970 + 0.0727460i
\(203\) 9.71336 + 10.2543i 0.0478491 + 0.0505136i
\(204\) −4.84318 + 27.3914i −0.0237411 + 0.134272i
\(205\) 257.974 + 56.7843i 1.25841 + 0.276997i
\(206\) 55.1234 + 163.600i 0.267589 + 0.794177i
\(207\) −14.0915 168.747i −0.0680746 0.815203i
\(208\) 18.1453 + 3.99409i 0.0872371 + 0.0192023i
\(209\) 69.0939 + 3.74616i 0.330593 + 0.0179242i
\(210\) −10.7751 14.5486i −0.0513101 0.0692792i
\(211\) 237.848 + 225.301i 1.12724 + 1.06778i 0.997086 + 0.0762858i \(0.0243061\pi\)
0.130155 + 0.991494i \(0.458452\pi\)
\(212\) 37.6509 2.04137i 0.177599 0.00962911i
\(213\) 57.5187 197.544i 0.270041 0.927436i
\(214\) −74.2664 + 109.535i −0.347039 + 0.511845i
\(215\) 15.0477 138.362i 0.0699894 0.643542i
\(216\) −230.176 + 41.6794i −1.06563 + 0.192960i
\(217\) 15.4663 3.40440i 0.0712734 0.0156885i
\(218\) 4.53434 0.743367i 0.0207997 0.00340994i
\(219\) 186.110 300.737i 0.849818 1.37323i
\(220\) 6.79761 + 24.4828i 0.0308982 + 0.111285i
\(221\) 9.42680 + 12.4007i 0.0426552 + 0.0561119i
\(222\) 186.558 + 2.33374i 0.840349 + 0.0105123i
\(223\) 3.52156 6.64237i 0.0157917 0.0297864i −0.875491 0.483235i \(-0.839462\pi\)
0.891282 + 0.453449i \(0.149806\pi\)
\(224\) 12.4026 4.94164i 0.0553686 0.0220609i
\(225\) −35.3149 + 62.7648i −0.156955 + 0.278955i
\(226\) −64.2112 + 75.5953i −0.284121 + 0.334493i
\(227\) 7.28525 3.86239i 0.0320936 0.0170149i −0.452284 0.891874i \(-0.649391\pi\)
0.484378 + 0.874859i \(0.339046\pi\)
\(228\) 30.6832 15.7787i 0.134575 0.0692049i
\(229\) −396.107 + 183.259i −1.72973 + 0.800257i −0.737568 + 0.675273i \(0.764026\pi\)
−0.992159 + 0.124984i \(0.960112\pi\)
\(230\) 102.196 86.8058i 0.444329 0.377417i
\(231\) −7.41627 + 13.5755i −0.0321050 + 0.0587683i
\(232\) 115.043 + 87.4533i 0.495875 + 0.376954i
\(233\) 69.4003 115.344i 0.297855 0.495039i −0.671400 0.741095i \(-0.734307\pi\)
0.969256 + 0.246055i \(0.0791345\pi\)
\(234\) −14.1999 + 22.3170i −0.0606835 + 0.0953718i
\(235\) 201.773 0.858609
\(236\) −51.6766 + 29.9204i −0.218968 + 0.126781i
\(237\) −0.628793 + 5.17818i −0.00265314 + 0.0218489i
\(238\) −12.7077 4.28174i −0.0533939 0.0179905i
\(239\) −199.440 + 331.472i −0.834477 + 1.38691i 0.0860732 + 0.996289i \(0.472568\pi\)
−0.920551 + 0.390623i \(0.872259\pi\)
\(240\) −96.9519 94.1664i −0.403966 0.392360i
\(241\) 119.360 299.572i 0.495271 1.24304i −0.442809 0.896616i \(-0.646018\pi\)
0.938080 0.346420i \(-0.112603\pi\)
\(242\) 110.560 93.9106i 0.456860 0.388060i
\(243\) 41.3209 239.461i 0.170045 0.985436i
\(244\) 30.1911 + 44.5285i 0.123734 + 0.182494i
\(245\) 175.876 93.2433i 0.717859 0.380585i
\(246\) 225.448 + 244.046i 0.916455 + 0.992056i
\(247\) 5.16898 18.6170i 0.0209271 0.0753724i
\(248\) 150.519 59.9722i 0.606931 0.241824i
\(249\) −133.854 + 192.200i −0.537568 + 0.771888i
\(250\) −233.813 + 25.4287i −0.935254 + 0.101715i
\(251\) −92.7349 121.991i −0.369462 0.486019i 0.573366 0.819300i \(-0.305637\pi\)
−0.942828 + 0.333281i \(0.891844\pi\)
\(252\) 0.224793 + 7.71002i 0.000892036 + 0.0305953i
\(253\) −103.981 48.1066i −0.410991 0.190145i
\(254\) 144.532 23.6949i 0.569025 0.0932869i
\(255\) −10.8412 112.793i −0.0425146 0.442325i
\(256\) 154.947 93.2286i 0.605262 0.364174i
\(257\) −14.0639 + 129.315i −0.0547233 + 0.503173i 0.934415 + 0.356186i \(0.115923\pi\)
−0.989138 + 0.146987i \(0.953043\pi\)
\(258\) 114.988 131.992i 0.445691 0.511598i
\(259\) 4.92890 30.0649i 0.0190305 0.116081i
\(260\) 7.08448 0.384109i 0.0272480 0.00147734i
\(261\) −126.320 + 81.1103i −0.483986 + 0.310768i
\(262\) −94.3886 + 89.4097i −0.360262 + 0.341258i
\(263\) −177.882 9.64451i −0.676359 0.0366711i −0.287240 0.957859i \(-0.592738\pi\)
−0.389119 + 0.921187i \(0.627221\pi\)
\(264\) −52.4071 + 149.339i −0.198512 + 0.565677i
\(265\) −145.560 + 49.0448i −0.549282 + 0.185075i
\(266\) 5.31094 + 15.7623i 0.0199660 + 0.0592568i
\(267\) 191.979 + 67.3706i 0.719021 + 0.252324i
\(268\) −1.36102 + 25.1025i −0.00507843 + 0.0936662i
\(269\) −187.708 198.161i −0.697799 0.736658i 0.276723 0.960950i \(-0.410752\pi\)
−0.974522 + 0.224292i \(0.927993\pi\)
\(270\) 173.266 83.6888i 0.641725 0.309958i
\(271\) −23.9967 442.593i −0.0885486 1.63318i −0.618946 0.785434i \(-0.712440\pi\)
0.530397 0.847749i \(-0.322043\pi\)
\(272\) −98.7897 16.1957i −0.363197 0.0595432i
\(273\) 3.25686 + 2.83729i 0.0119299 + 0.0103930i
\(274\) 5.82072 + 0.633041i 0.0212435 + 0.00231037i
\(275\) 25.1211 + 41.7516i 0.0913495 + 0.151824i
\(276\) −56.8652 + 5.46568i −0.206033 + 0.0198032i
\(277\) −60.7015 370.263i −0.219139 1.33669i −0.835615 0.549315i \(-0.814889\pi\)
0.616477 0.787373i \(-0.288559\pi\)
\(278\) 52.2178 112.867i 0.187834 0.405996i
\(279\) 4.90534 + 168.245i 0.0175819 + 0.603028i
\(280\) −24.0793 + 18.3046i −0.0859974 + 0.0653735i
\(281\) −5.18978 47.7192i −0.0184690 0.169819i 0.981271 0.192634i \(-0.0617029\pi\)
−0.999740 + 0.0228143i \(0.992737\pi\)
\(282\) 208.259 + 145.038i 0.738506 + 0.514320i
\(283\) −175.090 439.443i −0.618693 1.55280i −0.819443 0.573160i \(-0.805717\pi\)
0.200750 0.979643i \(-0.435662\pi\)
\(284\) −66.8817 18.5696i −0.235499 0.0653860i
\(285\) −103.240 + 95.3721i −0.362244 + 0.334639i
\(286\) 8.38304 + 15.8121i 0.0293113 + 0.0552870i
\(287\) 44.9050 30.4464i 0.156464 0.106085i
\(288\) 27.0275 + 139.299i 0.0938453 + 0.483676i
\(289\) 132.760 + 156.297i 0.459376 + 0.540819i
\(290\) −110.428 43.9987i −0.380788 0.151720i
\(291\) −83.8184 + 86.2979i −0.288036 + 0.296556i
\(292\) −102.235 61.5129i −0.350120 0.210660i
\(293\) −155.679 + 462.040i −0.531329 + 1.57693i 0.260046 + 0.965596i \(0.416262\pi\)
−0.791375 + 0.611331i \(0.790634\pi\)
\(294\) 248.554 + 30.1822i 0.845420 + 0.102660i
\(295\) 170.230 173.759i 0.577049 0.589012i
\(296\) 311.706i 1.05306i
\(297\) −127.061 104.338i −0.427816 0.351306i
\(298\) 11.0385 + 6.64166i 0.0370420 + 0.0222874i
\(299\) −19.3601 + 25.4678i −0.0647497 + 0.0851767i
\(300\) 21.3220 + 11.6482i 0.0710732 + 0.0388272i
\(301\) −18.5059 21.7868i −0.0614814 0.0723815i
\(302\) 187.441 + 405.147i 0.620665 + 1.34155i
\(303\) 16.9598 + 32.9799i 0.0559729 + 0.108844i
\(304\) 58.1630 + 109.707i 0.191326 + 0.360879i
\(305\) −167.031 141.877i −0.547643 0.465172i
\(306\) 69.8879 124.211i 0.228392 0.405919i
\(307\) 60.2343 + 151.177i 0.196203 + 0.492432i 0.993856 0.110685i \(-0.0353044\pi\)
−0.797653 + 0.603117i \(0.793925\pi\)
\(308\) 4.61081 + 2.44450i 0.0149702 + 0.00793668i
\(309\) −3.74782 + 299.598i −0.0121289 + 0.969572i
\(310\) −106.104 + 80.6579i −0.342270 + 0.260187i
\(311\) −593.117 + 164.678i −1.90713 + 0.529511i −0.915146 + 0.403122i \(0.867925\pi\)
−0.991981 + 0.126389i \(0.959661\pi\)
\(312\) 37.5788 + 23.2555i 0.120445 + 0.0745370i
\(313\) −57.7274 352.121i −0.184433 1.12499i −0.903035 0.429567i \(-0.858666\pi\)
0.718602 0.695421i \(-0.244782\pi\)
\(314\) −94.7364 430.392i −0.301708 1.37067i
\(315\) −9.28476 30.0178i −0.0294754 0.0952946i
\(316\) 1.74945 + 0.190264i 0.00553623 + 0.000602102i
\(317\) −56.8052 38.5149i −0.179196 0.121498i 0.468291 0.883574i \(-0.344870\pi\)
−0.647487 + 0.762076i \(0.724180\pi\)
\(318\) −185.493 54.0098i −0.583310 0.169842i
\(319\) 5.49883 + 101.420i 0.0172377 + 0.317931i
\(320\) −201.198 + 212.403i −0.628745 + 0.663758i
\(321\) −184.571 + 136.698i −0.574986 + 0.425851i
\(322\) 1.49098 27.4996i 0.00463039 0.0854024i
\(323\) −22.3793 + 101.670i −0.0692857 + 0.314768i
\(324\) −80.9536 12.9286i −0.249857 0.0399030i
\(325\) 12.8935 4.34434i 0.0396725 0.0133672i
\(326\) −71.3549 + 324.169i −0.218880 + 0.994383i
\(327\) 7.85283 + 1.38849i 0.0240148 + 0.00424614i
\(328\) 402.983 381.726i 1.22861 1.16380i
\(329\) 28.4997 30.0868i 0.0866252 0.0914492i
\(330\) 8.67377 129.899i 0.0262841 0.393633i
\(331\) 102.649 626.132i 0.310118 1.89164i −0.126462 0.991971i \(-0.540362\pi\)
0.436580 0.899665i \(-0.356190\pi\)
\(332\) 65.4012 + 44.3431i 0.196991 + 0.133564i
\(333\) 304.173 + 111.035i 0.913433 + 0.333439i
\(334\) −370.260 + 222.778i −1.10856 + 0.667000i
\(335\) −22.0147 100.014i −0.0657155 0.298549i
\(336\) −27.7354 + 1.15603i −0.0825459 + 0.00344057i
\(337\) 154.076 + 71.2832i 0.457199 + 0.211523i 0.634951 0.772553i \(-0.281020\pi\)
−0.177752 + 0.984075i \(0.556882\pi\)
\(338\) −276.663 + 76.8151i −0.818529 + 0.227264i
\(339\) −148.599 + 86.8962i −0.438345 + 0.256331i
\(340\) −38.0035 + 4.13313i −0.111775 + 0.0121563i
\(341\) 100.615 + 53.3428i 0.295059 + 0.156431i
\(342\) −175.113 + 24.2271i −0.512026 + 0.0708395i
\(343\) 22.0386 79.3759i 0.0642525 0.231417i
\(344\) −222.905 189.337i −0.647979 0.550398i
\(345\) 217.247 83.4255i 0.629700 0.241813i
\(346\) −247.980 365.743i −0.716705 1.05706i
\(347\) −7.51618 16.2460i −0.0216605 0.0468183i 0.896443 0.443159i \(-0.146142\pi\)
−0.918104 + 0.396340i \(0.870280\pi\)
\(348\) 27.8946 + 42.2703i 0.0801570 + 0.121467i
\(349\) 1.77959 4.46645i 0.00509913 0.0127978i −0.926405 0.376528i \(-0.877118\pi\)
0.931504 + 0.363730i \(0.118497\pi\)
\(350\) −7.08825 + 9.32443i −0.0202521 + 0.0266412i
\(351\) −36.0798 + 28.3866i −0.102792 + 0.0808736i
\(352\) 90.9800 + 30.6547i 0.258466 + 0.0870873i
\(353\) 547.868i 1.55203i −0.630712 0.776017i \(-0.717237\pi\)
0.630712 0.776017i \(-0.282763\pi\)
\(354\) 300.602 56.9795i 0.849158 0.160959i
\(355\) 282.756 0.796497
\(356\) 21.9165 65.0459i 0.0615632 0.182713i
\(357\) −18.3500 14.3150i −0.0514007 0.0400981i
\(358\) 30.5394 + 23.2154i 0.0853056 + 0.0648476i
\(359\) −250.276 99.7191i −0.697148 0.277769i −0.00548009 0.999985i \(-0.501744\pi\)
−0.691668 + 0.722216i \(0.743124\pi\)
\(360\) −143.429 287.703i −0.398413 0.799175i
\(361\) −210.442 + 97.3607i −0.582941 + 0.269697i
\(362\) 118.793 80.5433i 0.328156 0.222495i
\(363\) 235.028 90.2537i 0.647459 0.248633i
\(364\) 0.943381 1.11063i 0.00259170 0.00305119i
\(365\) 468.323 + 130.029i 1.28308 + 0.356244i
\(366\) −70.4157 266.503i −0.192393 0.728149i
\(367\) −227.313 + 428.758i −0.619382 + 1.16828i 0.353162 + 0.935562i \(0.385106\pi\)
−0.972544 + 0.232717i \(0.925238\pi\)
\(368\) −22.2289 204.391i −0.0604045 0.555411i
\(369\) 228.951 + 529.223i 0.620464 + 1.43421i
\(370\) 68.5953 + 247.058i 0.185393 + 0.667725i
\(371\) −13.2466 + 28.6321i −0.0357052 + 0.0771754i
\(372\) 56.7346 2.36474i 0.152512 0.00635682i
\(373\) −41.2325 + 9.07596i −0.110543 + 0.0243323i −0.269897 0.962889i \(-0.586990\pi\)
0.159354 + 0.987221i \(0.449059\pi\)
\(374\) −49.7145 82.6261i −0.132926 0.220925i
\(375\) −397.516 92.7280i −1.06004 0.247275i
\(376\) 237.944 350.941i 0.632829 0.933353i
\(377\) 27.9872 + 4.58827i 0.0742367 + 0.0121705i
\(378\) 11.9942 37.6567i 0.0317306 0.0996209i
\(379\) 332.515 + 314.975i 0.877348 + 0.831068i 0.986636 0.162942i \(-0.0520984\pi\)
−0.109288 + 0.994010i \(0.534857\pi\)
\(380\) 32.6083 + 34.4241i 0.0858112 + 0.0905898i
\(381\) 250.309 + 44.2582i 0.656980 + 0.116163i
\(382\) 241.226 + 53.0978i 0.631481 + 0.139000i
\(383\) 77.1166 + 228.874i 0.201349 + 0.597582i 0.999991 0.00422410i \(-0.00134458\pi\)
−0.798642 + 0.601806i \(0.794448\pi\)
\(384\) −175.078 + 36.2476i −0.455932 + 0.0943948i
\(385\) −20.7620 4.57007i −0.0539274 0.0118703i
\(386\) −166.345 9.01896i −0.430946 0.0233652i
\(387\) 264.164 150.073i 0.682595 0.387785i
\(388\) 29.4652 + 27.9109i 0.0759413 + 0.0719354i
\(389\) 717.738 38.9146i 1.84509 0.100038i 0.901827 0.432097i \(-0.142226\pi\)
0.943258 + 0.332060i \(0.107744\pi\)
\(390\) −34.9027 10.1626i −0.0894941 0.0260580i
\(391\) 96.7315 142.668i 0.247395 0.364881i
\(392\) 45.2271 415.856i 0.115375 1.06086i
\(393\) −205.958 + 92.1764i −0.524066 + 0.234545i
\(394\) −279.041 + 61.4216i −0.708227 + 0.155892i
\(395\) −7.07416 + 1.15975i −0.0179093 + 0.00293607i
\(396\) −34.6609 + 43.3029i −0.0875275 + 0.109351i
\(397\) 41.4035 + 149.122i 0.104291 + 0.375622i 0.997215 0.0745859i \(-0.0237635\pi\)
−0.892924 + 0.450208i \(0.851350\pi\)
\(398\) −93.1200 122.497i −0.233970 0.307782i
\(399\) −0.361089 + 28.8652i −0.000904985 + 0.0723438i
\(400\) −40.9576 + 77.2543i −0.102394 + 0.193136i
\(401\) 317.679 126.575i 0.792218 0.315648i 0.0613047 0.998119i \(-0.480474\pi\)
0.730913 + 0.682471i \(0.239095\pi\)
\(402\) 49.1694 119.053i 0.122312 0.296152i
\(403\) 20.5860 24.2358i 0.0510820 0.0601384i
\(404\) 11.0538 5.86034i 0.0273608 0.0145058i
\(405\) 331.843 37.4774i 0.819364 0.0925368i
\(406\) −22.1583 + 10.2515i −0.0545772 + 0.0252501i
\(407\) 166.977 141.832i 0.410263 0.348481i
\(408\) −208.964 114.157i −0.512165 0.279796i
\(409\) −407.556 309.816i −0.996468 0.757495i −0.0262320 0.999656i \(-0.508351\pi\)
−0.970236 + 0.242160i \(0.922144\pi\)
\(410\) −235.400 + 391.239i −0.574147 + 0.954240i
\(411\) 9.16844 + 4.38182i 0.0223076 + 0.0106614i
\(412\) 101.081 0.245343
\(413\) −1.86518 49.9260i −0.00451617 0.120886i
\(414\) 284.197 + 70.0538i 0.686467 + 0.169212i
\(415\) −305.033 102.778i −0.735019 0.247657i
\(416\) 13.8207 22.9701i 0.0332228 0.0552167i
\(417\) 150.378 154.826i 0.360619 0.371286i
\(418\) −44.2715 + 111.113i −0.105913 + 0.265821i
\(419\) −280.639 + 238.377i −0.669783 + 0.568919i −0.916434 0.400185i \(-0.868946\pi\)
0.246651 + 0.969104i \(0.420670\pi\)
\(420\) −10.0870 + 3.25877i −0.0240166 + 0.00775898i
\(421\) 357.555 + 527.354i 0.849299 + 1.25262i 0.965762 + 0.259428i \(0.0835340\pi\)
−0.116463 + 0.993195i \(0.537156\pi\)
\(422\) −500.336 + 265.261i −1.18563 + 0.628581i
\(423\) 257.700 + 357.205i 0.609220 + 0.844457i
\(424\) −86.3505 + 311.007i −0.203657 + 0.733506i
\(425\) −68.1020 + 27.1343i −0.160240 + 0.0638455i
\(426\) 291.845 + 203.250i 0.685082 + 0.477114i
\(427\) −44.7481 + 4.86665i −0.104797 + 0.0113973i
\(428\) 46.8923 + 61.6858i 0.109561 + 0.144126i
\(429\) 4.64130 + 30.7122i 0.0108189 + 0.0715902i
\(430\) 218.341 + 101.015i 0.507769 + 0.234919i
\(431\) 704.044 115.422i 1.63351 0.267801i 0.725959 0.687738i \(-0.241396\pi\)
0.907553 + 0.419937i \(0.137948\pi\)
\(432\) 42.8809 291.904i 0.0992613 0.675704i
\(433\) 312.703 188.147i 0.722178 0.434520i −0.106451 0.994318i \(-0.533949\pi\)
0.828629 + 0.559798i \(0.189121\pi\)
\(434\) −2.95970 + 27.2139i −0.00681957 + 0.0627049i
\(435\) −155.556 135.517i −0.357601 0.311533i
\(436\) 0.435251 2.65491i 0.000998282 0.00608925i
\(437\) −213.489 + 11.5750i −0.488532 + 0.0264874i
\(438\) 389.908 + 470.847i 0.890202 + 1.07499i
\(439\) −524.776 + 497.094i −1.19539 + 1.13233i −0.207328 + 0.978271i \(0.566477\pi\)
−0.988061 + 0.154062i \(0.950765\pi\)
\(440\) −217.186 11.7755i −0.493605 0.0267625i
\(441\) 389.696 + 192.270i 0.883664 + 0.435986i
\(442\) −25.5162 + 8.59742i −0.0577291 + 0.0194512i
\(443\) −108.877 323.134i −0.245771 0.729422i −0.997547 0.0700034i \(-0.977699\pi\)
0.751776 0.659419i \(-0.229198\pi\)
\(444\) 36.1728 103.078i 0.0814703 0.232157i
\(445\) −15.1377 + 279.198i −0.0340172 + 0.627411i
\(446\) 8.93702 + 9.43470i 0.0200382 + 0.0211540i
\(447\) 14.2602 + 17.2204i 0.0319020 + 0.0385244i
\(448\) 3.25322 + 60.0021i 0.00726165 + 0.133933i
\(449\) −305.656 50.1097i −0.680747 0.111603i −0.188520 0.982069i \(-0.560369\pi\)
−0.492228 + 0.870467i \(0.663817\pi\)
\(450\) −83.3219 92.4901i −0.185160 0.205534i
\(451\) 387.851 + 42.1813i 0.859979 + 0.0935284i
\(452\) 29.9404 + 49.7614i 0.0662399 + 0.110092i
\(453\) 74.1254 + 771.206i 0.163632 + 1.70244i
\(454\) 2.30593 + 14.0655i 0.00507913 + 0.0309813i
\(455\) −2.49251 + 5.38748i −0.00547805 + 0.0118406i
\(456\) 44.1325 + 292.032i 0.0967818 + 0.640420i
\(457\) −703.538 + 534.816i −1.53947 + 1.17028i −0.615301 + 0.788292i \(0.710966\pi\)
−0.924169 + 0.381983i \(0.875241\pi\)
\(458\) −81.5673 749.999i −0.178095 1.63755i
\(459\) 185.835 163.249i 0.404868 0.355663i
\(460\) −29.0593 72.9334i −0.0631725 0.158551i
\(461\) −574.426 159.489i −1.24604 0.345962i −0.418941 0.908013i \(-0.637599\pi\)
−0.827102 + 0.562051i \(0.810012\pi\)
\(462\) −18.1443 19.6411i −0.0392734 0.0425132i
\(463\) 310.613 + 585.879i 0.670871 + 1.26540i 0.952109 + 0.305759i \(0.0989102\pi\)
−0.281238 + 0.959638i \(0.590745\pi\)
\(464\) −150.860 + 102.285i −0.325129 + 0.220443i
\(465\) −220.113 + 71.1116i −0.473362 + 0.152928i
\(466\) 150.638 + 177.345i 0.323257 + 0.380568i
\(467\) −99.3074 39.5677i −0.212650 0.0847274i 0.261381 0.965236i \(-0.415822\pi\)
−0.474031 + 0.880508i \(0.657201\pi\)
\(468\) 9.72814 + 12.0513i 0.0207866 + 0.0257506i
\(469\) −18.0227 10.8439i −0.0384280 0.0231214i
\(470\) −111.365 + 330.519i −0.236946 + 0.703232i
\(471\) 92.1993 759.271i 0.195752 1.61204i
\(472\) −101.470 500.985i −0.214979 1.06141i
\(473\) 205.559i 0.434586i
\(474\) −8.13519 3.88801i −0.0171628 0.00820255i
\(475\) 77.9140 + 46.8793i 0.164029 + 0.0986932i
\(476\) −4.75156 + 6.25057i −0.00998226 + 0.0131314i
\(477\) −272.731 195.050i −0.571764 0.408910i
\(478\) −432.898 509.647i −0.905644 1.06621i
\(479\) 147.920 + 319.723i 0.308810 + 0.667481i 0.998390 0.0567285i \(-0.0180669\pi\)
−0.689580 + 0.724209i \(0.742205\pi\)
\(480\) −173.420 + 89.1806i −0.361292 + 0.185793i
\(481\) −28.6545 54.0481i −0.0595727 0.112366i
\(482\) 424.841 + 360.863i 0.881413 + 0.748679i
\(483\) 18.2455 44.1776i 0.0377754 0.0914650i
\(484\) −31.4378 78.9028i −0.0649540 0.163022i
\(485\) −146.072 77.4426i −0.301180 0.159675i
\(486\) 369.448 + 199.852i 0.760181 + 0.411219i
\(487\) −302.783 + 230.169i −0.621730 + 0.472627i −0.867993 0.496576i \(-0.834590\pi\)
0.246263 + 0.969203i \(0.420797\pi\)
\(488\) −443.739 + 123.204i −0.909301 + 0.252466i
\(489\) −303.152 + 489.865i −0.619942 + 1.00177i
\(490\) 55.6681 + 339.561i 0.113608 + 0.692981i
\(491\) 117.713 + 534.774i 0.239741 + 1.08915i 0.930564 + 0.366129i \(0.119317\pi\)
−0.690824 + 0.723023i \(0.742752\pi\)
\(492\) 177.561 79.4672i 0.360896 0.161519i
\(493\) −151.914 16.5216i −0.308142 0.0335125i
\(494\) 27.6431 + 18.7425i 0.0559576 + 0.0379402i
\(495\) 88.8566 207.743i 0.179508 0.419683i
\(496\) 11.0638 + 204.061i 0.0223061 + 0.411413i
\(497\) 39.9383 42.1623i 0.0803587 0.0848337i
\(498\) −240.959 325.344i −0.483854 0.653302i
\(499\) −18.3724 + 338.859i −0.0368185 + 0.679077i 0.920624 + 0.390451i \(0.127681\pi\)
−0.957442 + 0.288626i \(0.906802\pi\)
\(500\) −29.6032 + 134.488i −0.0592063 + 0.268977i
\(501\) −734.382 + 152.044i −1.46583 + 0.303482i
\(502\) 251.013 84.5761i 0.500026 0.168478i
\(503\) −28.0718 + 127.531i −0.0558087 + 0.253541i −0.996262 0.0863810i \(-0.972470\pi\)
0.940453 + 0.339922i \(0.110401\pi\)
\(504\) −63.1587 19.2501i −0.125315 0.0381946i
\(505\) −37.0008 + 35.0490i −0.0732690 + 0.0694041i
\(506\) 136.192 143.776i 0.269154 0.284143i
\(507\) −497.220 33.2010i −0.980709 0.0654851i
\(508\) 13.8737 84.6256i 0.0273104 0.166586i
\(509\) 217.942 + 147.768i 0.428176 + 0.290311i 0.756177 0.654367i \(-0.227065\pi\)
−0.328001 + 0.944677i \(0.606375\pi\)
\(510\) 190.746 + 44.4951i 0.374013 + 0.0872453i
\(511\) 85.5377 51.4663i 0.167393 0.100717i
\(512\) 118.441 + 538.084i 0.231331 + 1.05095i
\(513\) −300.695 60.9611i −0.586151 0.118833i
\(514\) −204.066 94.4108i −0.397015 0.183679i
\(515\) −396.757 + 110.159i −0.770402 + 0.213901i
\(516\) −51.7400 88.4793i −0.100271 0.171472i
\(517\) 296.264 32.2206i 0.573044 0.0623222i
\(518\) 46.5281 + 24.6677i 0.0898227 + 0.0476210i
\(519\) −195.912 741.468i −0.377479 1.42865i
\(520\) −16.2479 + 58.5197i −0.0312460 + 0.112538i
\(521\) 41.8977 + 35.5882i 0.0804179 + 0.0683076i 0.686694 0.726947i \(-0.259061\pi\)
−0.606276 + 0.795254i \(0.707337\pi\)
\(522\) −63.1445 251.689i −0.120966 0.482163i
\(523\) 381.766 + 563.062i 0.729953 + 1.07660i 0.993707 + 0.112010i \(0.0357290\pi\)
−0.263754 + 0.964590i \(0.584961\pi\)
\(524\) 31.9637 + 69.0884i 0.0609994 + 0.131848i
\(525\) −16.9667 + 11.1965i −0.0323175 + 0.0213267i
\(526\) 113.977 286.061i 0.216687 0.543843i
\(527\) −103.686 + 136.397i −0.196749 + 0.258818i
\(528\) −157.392 122.783i −0.298090 0.232543i
\(529\) −165.838 55.8773i −0.313493 0.105628i
\(530\) 265.507i 0.500956i
\(531\) 525.024 + 79.4421i 0.988745 + 0.149609i
\(532\) 9.73884 0.0183061
\(533\) 34.7838 103.235i 0.0652604 0.193686i
\(534\) −216.317 + 277.291i −0.405088 + 0.519271i
\(535\) −251.284 191.021i −0.469689 0.357048i
\(536\) −199.914 79.6528i −0.372973 0.148606i
\(537\) 36.6708 + 55.5694i 0.0682882 + 0.103481i
\(538\) 428.204 198.108i 0.795918 0.368231i
\(539\) 243.348 164.994i 0.451481 0.306112i
\(540\) −14.0429 111.785i −0.0260054 0.207009i
\(541\) 75.1621 88.4876i 0.138932 0.163563i −0.688296 0.725430i \(-0.741641\pi\)
0.827228 + 0.561867i \(0.189917\pi\)
\(542\) 738.243 + 204.972i 1.36207 + 0.378177i
\(543\) 240.827 63.6317i 0.443512 0.117186i
\(544\) −67.6569 + 127.614i −0.124369 + 0.234585i
\(545\) 1.18492 + 10.8952i 0.00217417 + 0.0199912i
\(546\) −6.44524 + 3.76898i −0.0118045 + 0.00690289i
\(547\) 72.5790 + 261.406i 0.132686 + 0.477890i 0.999795 0.0202267i \(-0.00643879\pi\)
−0.867110 + 0.498117i \(0.834025\pi\)
\(548\) 1.43946 3.11135i 0.00262676 0.00567765i
\(549\) 37.8418 476.903i 0.0689286 0.868676i
\(550\) −82.2572 + 18.1062i −0.149559 + 0.0329203i
\(551\) 97.7185 + 162.409i 0.177348 + 0.294754i
\(552\) 111.090 476.234i 0.201251 0.862743i
\(553\) −0.826266 + 1.21865i −0.00149415 + 0.00220371i
\(554\) 640.020 + 104.926i 1.15527 + 0.189397i
\(555\) −29.6482 + 444.014i −0.0534202 + 0.800025i
\(556\) −52.8633 50.0748i −0.0950780 0.0900626i
\(557\) −485.322 512.348i −0.871314 0.919835i 0.126077 0.992020i \(-0.459761\pi\)
−0.997391 + 0.0721850i \(0.977003\pi\)
\(558\) −278.305 84.8242i −0.498754 0.152015i
\(559\) −56.0559 12.3388i −0.100279 0.0220730i
\(560\) −12.1812 36.1526i −0.0217522 0.0645581i
\(561\) −33.9298 163.883i −0.0604809 0.292126i
\(562\) 81.0319 + 17.8365i 0.144185 + 0.0317375i
\(563\) 599.545 + 32.5064i 1.06491 + 0.0577378i 0.578255 0.815856i \(-0.303734\pi\)
0.486656 + 0.873594i \(0.338217\pi\)
\(564\) 119.411 88.4394i 0.211722 0.156807i
\(565\) −171.750 162.690i −0.303983 0.287948i
\(566\) 816.477 44.2681i 1.44254 0.0782122i
\(567\) 41.2832 54.7752i 0.0728099 0.0966053i
\(568\) 333.444 491.794i 0.587050 0.865834i
\(569\) 82.4513 758.127i 0.144906 1.33238i −0.665448 0.746444i \(-0.731760\pi\)
0.810354 0.585941i \(-0.199275\pi\)
\(570\) −99.2452 221.753i −0.174114 0.389040i
\(571\) 656.047 144.407i 1.14894 0.252902i 0.400626 0.916242i \(-0.368793\pi\)
0.748318 + 0.663340i \(0.230862\pi\)
\(572\) 10.3408 1.69529i 0.0180783 0.00296379i
\(573\) 364.526 + 225.586i 0.636172 + 0.393693i
\(574\) 25.0889 + 90.3620i 0.0437089 + 0.157425i
\(575\) −91.1130 119.857i −0.158457 0.208447i
\(576\) −632.989 84.9120i −1.09894 0.147417i
\(577\) 262.710 495.523i 0.455303 0.858792i −0.544497 0.838763i \(-0.683279\pi\)
0.999799 0.0200290i \(-0.00637587\pi\)
\(578\) −329.300 + 131.205i −0.569722 + 0.226998i
\(579\) −267.230 110.367i −0.461538 0.190617i
\(580\) −45.0584 + 53.0469i −0.0776870 + 0.0914602i
\(581\) −58.4101 + 30.9671i −0.100534 + 0.0532996i
\(582\) −95.1001 184.931i −0.163402 0.317751i
\(583\) −205.894 + 95.2565i −0.353162 + 0.163390i
\(584\) 778.434 661.208i 1.33293 1.13220i
\(585\) −51.3177 36.7011i −0.0877226 0.0627369i
\(586\) −670.930 510.028i −1.14493 0.870355i
\(587\) 110.576 183.778i 0.188374 0.313080i −0.748250 0.663417i \(-0.769105\pi\)
0.936624 + 0.350337i \(0.113933\pi\)
\(588\) 63.2153 132.271i 0.107509 0.224950i
\(589\) 212.517 0.360809
\(590\) 190.674 + 374.751i 0.323176 + 0.635171i
\(591\) −492.268 59.7767i −0.832941 0.101145i
\(592\) 372.567 + 125.532i 0.629336 + 0.212048i
\(593\) 122.952 204.347i 0.207338 0.344599i −0.735686 0.677323i \(-0.763140\pi\)
0.943024 + 0.332724i \(0.107968\pi\)
\(594\) 241.042 150.549i 0.405795 0.253449i
\(595\) 11.8386 29.7125i 0.0198967 0.0499370i
\(596\) 5.74892 4.88318i 0.00964584 0.00819325i
\(597\) −82.0987 254.122i −0.137519 0.425665i
\(598\) −31.0327 45.7698i −0.0518941 0.0765381i
\(599\) 171.907 91.1392i 0.286990 0.152152i −0.318694 0.947857i \(-0.603244\pi\)
0.605684 + 0.795705i \(0.292900\pi\)
\(600\) −152.770 + 141.128i −0.254616 + 0.235213i
\(601\) 84.1126 302.946i 0.139954 0.504070i −0.860026 0.510249i \(-0.829553\pi\)
0.999981 + 0.00617904i \(0.00196686\pi\)
\(602\) 45.9024 18.2892i 0.0762498 0.0303807i
\(603\) 148.941 166.709i 0.247000 0.276466i
\(604\) 259.844 28.2597i 0.430205 0.0467876i
\(605\) 209.386 + 275.442i 0.346092 + 0.455277i
\(606\) −63.3840 + 9.57874i −0.104594 + 0.0158065i
\(607\) −976.614 451.830i −1.60892 0.744365i −0.610071 0.792347i \(-0.708859\pi\)
−0.998848 + 0.0479812i \(0.984721\pi\)
\(608\) 176.799 28.9847i 0.290788 0.0476722i
\(609\) −42.1789 + 4.05408i −0.0692593 + 0.00665694i
\(610\) 324.595 195.302i 0.532123 0.320168i
\(611\) 8.99688 82.7250i 0.0147248 0.135393i
\(612\) −55.8543 62.0001i −0.0912652 0.101307i
\(613\) 62.7819 382.953i 0.102417 0.624719i −0.884878 0.465823i \(-0.845758\pi\)
0.987295 0.158896i \(-0.0507934\pi\)
\(614\) −280.884 + 15.2291i −0.457465 + 0.0248030i
\(615\) −610.344 + 505.425i −0.992429 + 0.821830i
\(616\) −32.4326 + 30.7218i −0.0526503 + 0.0498730i
\(617\) −1151.19 62.4155i −1.86578 0.101160i −0.913585 0.406649i \(-0.866697\pi\)
−0.952196 + 0.305489i \(0.901180\pi\)
\(618\) −488.694 171.496i −0.790767 0.277502i
\(619\) −714.767 + 240.833i −1.15471 + 0.389068i −0.830556 0.556936i \(-0.811977\pi\)
−0.324156 + 0.946004i \(0.605080\pi\)
\(620\) 24.9175 + 73.9524i 0.0401895 + 0.119278i
\(621\) 425.154 + 278.049i 0.684627 + 0.447745i
\(622\) 57.6048 1062.46i 0.0926123 1.70813i
\(623\) 39.4936 + 41.6929i 0.0633926 + 0.0669228i
\(624\) −42.9303 + 35.5505i −0.0687985 + 0.0569720i
\(625\) −19.5398 360.390i −0.0312636 0.576623i
\(626\) 608.662 + 99.7850i 0.972303 + 0.159401i
\(627\) −136.357 + 156.521i −0.217475 + 0.249635i
\(628\) −256.520 27.8982i −0.408471 0.0444239i
\(629\) 169.932 + 282.428i 0.270161 + 0.449012i
\(630\) 54.2959 + 1.35864i 0.0861839 + 0.00215657i
\(631\) −26.0831 159.100i −0.0413361 0.252139i 0.958073 0.286526i \(-0.0925004\pi\)
−0.999409 + 0.0343869i \(0.989052\pi\)
\(632\) −6.32517 + 13.6716i −0.0100082 + 0.0216323i
\(633\) −971.814 + 146.863i −1.53525 + 0.232011i
\(634\) 94.4428 71.7935i 0.148963 0.113239i
\(635\) 37.7696 + 347.285i 0.0594796 + 0.546906i
\(636\) −64.6469 + 92.8256i −0.101646 + 0.145952i
\(637\) −30.3867 76.2648i −0.0477028 0.119725i
\(638\) −169.168 46.9693i −0.265154 0.0736196i
\(639\) 361.130 + 500.573i 0.565149 + 0.783369i
\(640\) −115.093 217.088i −0.179832 0.339200i
\(641\) 802.093 543.833i 1.25132 0.848413i 0.258262 0.966075i \(-0.416850\pi\)
0.993054 + 0.117662i \(0.0375400\pi\)
\(642\) −122.051 377.788i −0.190111 0.588455i
\(643\) −15.3362 18.0551i −0.0238509 0.0280795i 0.750107 0.661316i \(-0.230002\pi\)
−0.773958 + 0.633237i \(0.781726\pi\)
\(644\) −14.9798 5.96848i −0.0232605 0.00926783i
\(645\) 299.511 + 290.906i 0.464358 + 0.451017i
\(646\) −154.191 92.7738i −0.238686 0.143613i
\(647\) −300.073 + 890.585i −0.463791 + 1.37648i 0.419541 + 0.907737i \(0.362191\pi\)
−0.883332 + 0.468748i \(0.844705\pi\)
\(648\) 326.146 621.364i 0.503312 0.958896i
\(649\) 222.201 282.313i 0.342374 0.434997i
\(650\) 23.5183i 0.0361821i
\(651\) −20.4866 + 42.8658i −0.0314694 + 0.0658460i
\(652\) 166.529 + 100.197i 0.255413 + 0.153677i
\(653\) −670.703 + 882.295i −1.02711 + 1.35114i −0.0924032 + 0.995722i \(0.529455\pi\)
−0.934707 + 0.355419i \(0.884338\pi\)
\(654\) −6.60866 + 12.0971i −0.0101050 + 0.0184972i
\(655\) −200.754 236.346i −0.306495 0.360834i
\(656\) 293.967 + 635.398i 0.448120 + 0.968595i
\(657\) 367.937 + 995.157i 0.560026 + 1.51470i
\(658\) 33.5544 + 63.2904i 0.0509946 + 0.0961860i
\(659\) −408.235 346.758i −0.619477 0.526189i 0.281777 0.959480i \(-0.409076\pi\)
−0.901254 + 0.433291i \(0.857352\pi\)
\(660\) −70.4545 29.0980i −0.106749 0.0440879i
\(661\) 141.122 + 354.189i 0.213497 + 0.535838i 0.996253 0.0864917i \(-0.0275656\pi\)
−0.782755 + 0.622330i \(0.786186\pi\)
\(662\) 968.994 + 513.728i 1.46374 + 0.776024i
\(663\) −46.7273 0.584535i −0.0704786 0.000881652i
\(664\) −538.474 + 409.337i −0.810955 + 0.616472i
\(665\) −38.2261 + 10.6134i −0.0574829 + 0.0159601i
\(666\) −349.766 + 436.974i −0.525175 + 0.656117i
\(667\) −50.7722 309.697i −0.0761202 0.464313i
\(668\) 54.3893 + 247.093i 0.0814211 + 0.369900i
\(669\) 9.21357 + 20.5867i 0.0137721 + 0.0307723i
\(670\) 175.980 + 19.1390i 0.262657 + 0.0285657i
\(671\) −267.908 181.646i −0.399266 0.270709i
\(672\) −11.1970 + 38.4554i −0.0166623 + 0.0572253i
\(673\) 2.81637 + 51.9448i 0.00418479 + 0.0771840i 0.999880 0.0155065i \(-0.00493606\pi\)
−0.995695 + 0.0926905i \(0.970453\pi\)
\(674\) −201.806 + 213.044i −0.299416 + 0.316089i
\(675\) −83.2979 199.350i −0.123404 0.295334i
\(676\) −9.10170 + 167.871i −0.0134641 + 0.248330i
\(677\) 36.3178 164.993i 0.0536451 0.243712i −0.942166 0.335147i \(-0.891214\pi\)
0.995811 + 0.0914343i \(0.0291452\pi\)
\(678\) −60.3258 291.377i −0.0889761 0.429759i
\(679\) −32.1798 + 10.8426i −0.0473929 + 0.0159685i
\(680\) 70.3459 319.584i 0.103450 0.469977i
\(681\) −4.30709 + 24.3595i −0.00632466 + 0.0357702i
\(682\) −142.912 + 135.373i −0.209548 + 0.198495i
\(683\) −27.1037 + 28.6130i −0.0396833 + 0.0418931i −0.745535 0.666467i \(-0.767806\pi\)
0.705852 + 0.708360i \(0.250565\pi\)
\(684\) −19.2956 + 101.693i −0.0282099 + 0.148674i
\(685\) −2.25931 + 13.7812i −0.00329826 + 0.0201185i
\(686\) 117.860 + 79.9108i 0.171807 + 0.116488i
\(687\) 297.442 1275.10i 0.432957 1.85605i
\(688\) 316.075 190.176i 0.459412 0.276419i
\(689\) 13.6175 + 61.8649i 0.0197641 + 0.0897894i
\(690\) 16.7519 + 401.911i 0.0242781 + 0.582479i
\(691\) 693.715 + 320.947i 1.00393 + 0.464467i 0.851785 0.523891i \(-0.175520\pi\)
0.152144 + 0.988358i \(0.451382\pi\)
\(692\) −249.298 + 69.2174i −0.360258 + 0.100025i
\(693\) −18.4263 42.5925i −0.0265892 0.0614610i
\(694\) 30.7605 3.34540i 0.0443234 0.00482047i
\(695\) 262.067 + 138.939i 0.377075 + 0.199912i
\(696\) −419.144 + 110.747i −0.602218 + 0.159119i
\(697\) −157.028 + 565.565i −0.225292 + 0.811428i
\(698\) 6.33415 + 5.38027i 0.00907471 + 0.00770813i
\(699\) 144.772 + 376.998i 0.207113 + 0.539339i
\(700\) 3.84860 + 5.67626i 0.00549800 + 0.00810894i
\(701\) −497.415 1075.15i −0.709580 1.53373i −0.840187 0.542297i \(-0.817555\pi\)
0.130607 0.991434i \(-0.458307\pi\)
\(702\) −26.5858 74.7688i −0.0378715 0.106508i
\(703\) 151.327 379.801i 0.215258 0.540258i
\(704\) −261.502 + 343.999i −0.371451 + 0.488636i
\(705\) −372.323 + 477.271i −0.528117 + 0.676980i
\(706\) 897.448 + 302.385i 1.27117 + 0.428308i
\(707\) 10.4678i 0.0148060i
\(708\) 24.5833 177.446i 0.0347221 0.250629i
\(709\) −507.611 −0.715953 −0.357977 0.933731i \(-0.616533\pi\)
−0.357977 + 0.933731i \(0.616533\pi\)
\(710\) −156.062 + 463.175i −0.219806 + 0.652360i
\(711\) −11.0881 11.0424i −0.0155951 0.0155308i
\(712\) 467.753 + 355.577i 0.656957 + 0.499406i
\(713\) −326.882 130.242i −0.458460 0.182667i
\(714\) 33.5770 22.1578i 0.0470266 0.0310333i
\(715\) −38.7414 + 17.9237i −0.0541838 + 0.0250681i
\(716\) 18.5909 12.6049i 0.0259649 0.0176047i
\(717\) −416.041 1083.40i −0.580252 1.51102i
\(718\) 301.482 354.932i 0.419892 0.494335i
\(719\) 661.788 + 183.744i 0.920428 + 0.255556i 0.695255 0.718763i \(-0.255291\pi\)
0.225173 + 0.974319i \(0.427705\pi\)
\(720\) 401.640 55.5674i 0.557834 0.0771770i
\(721\) −39.6144 + 74.7208i −0.0549437 + 0.103635i
\(722\) −43.3346 398.455i −0.0600202 0.551877i
\(723\) 488.351 + 835.118i 0.675452 + 1.15507i
\(724\) −22.4817 80.9716i −0.0310520 0.111839i
\(725\) −56.0435 + 121.136i −0.0773014 + 0.167084i
\(726\) 18.1230 + 434.806i 0.0249628 + 0.598906i
\(727\) −776.798 + 170.986i −1.06850 + 0.235194i −0.714203 0.699939i \(-0.753210\pi\)
−0.354296 + 0.935133i \(0.615279\pi\)
\(728\) 6.43102 + 10.6884i 0.00883382 + 0.0146819i
\(729\) 490.170 + 539.606i 0.672386 + 0.740201i
\(730\) −471.479 + 695.379i −0.645861 + 0.952574i
\(731\) 305.189 + 50.0331i 0.417495 + 0.0684448i
\(732\) −161.037 10.7530i −0.219996 0.0146898i
\(733\) 54.7895 + 51.8994i 0.0747470 + 0.0708041i 0.724161 0.689631i \(-0.242227\pi\)
−0.649414 + 0.760435i \(0.724986\pi\)
\(734\) −576.876 609.001i −0.785935 0.829701i
\(735\) −103.979 + 588.071i −0.141468 + 0.800096i
\(736\) −289.706 63.7691i −0.393622 0.0866428i
\(737\) −48.2951 143.335i −0.0655293 0.194484i
\(738\) −993.271 + 82.9444i −1.34590 + 0.112391i
\(739\) 393.791 + 86.6799i 0.532870 + 0.117294i 0.473251 0.880928i \(-0.343080\pi\)
0.0596190 + 0.998221i \(0.481011\pi\)
\(740\) 149.908 + 8.12776i 0.202578 + 0.0109835i
\(741\) 34.4982 + 46.5797i 0.0465563 + 0.0628606i
\(742\) −39.5902 37.5018i −0.0533561 0.0505416i
\(743\) −154.617 + 8.38307i −0.208098 + 0.0112827i −0.157893 0.987456i \(-0.550470\pi\)
−0.0502047 + 0.998739i \(0.515987\pi\)
\(744\) −135.888 + 466.699i −0.182646 + 0.627284i
\(745\) −17.2435 + 25.4323i −0.0231457 + 0.0341373i
\(746\) 7.89041 72.5511i 0.0105770 0.0972535i
\(747\) −207.631 671.275i −0.277953 0.898628i
\(748\) −55.1406 + 12.1374i −0.0737174 + 0.0162264i
\(749\) −63.9763 + 10.4884i −0.0854157 + 0.0140032i
\(750\) 371.297 599.981i 0.495062 0.799974i
\(751\) −147.385 530.833i −0.196252 0.706835i −0.994521 0.104535i \(-0.966665\pi\)
0.798269 0.602301i \(-0.205749\pi\)
\(752\) 323.636 + 425.736i 0.430368 + 0.566139i
\(753\) 459.674 + 5.75029i 0.610457 + 0.00763651i
\(754\) −22.9629 + 43.3127i −0.0304548 + 0.0574439i
\(755\) −989.122 + 394.102i −1.31010 + 0.521990i
\(756\) −18.6520 13.6952i −0.0246719 0.0181154i
\(757\) −248.349 + 292.379i −0.328070 + 0.386234i −0.901325 0.433143i \(-0.857405\pi\)
0.573255 + 0.819377i \(0.305680\pi\)
\(758\) −699.477 + 370.839i −0.922792 + 0.489234i
\(759\) 305.661 157.185i 0.402716 0.207095i
\(760\) −368.378 + 170.430i −0.484708 + 0.224250i
\(761\) 457.291 388.427i 0.600908 0.510416i −0.294506 0.955650i \(-0.595155\pi\)
0.895415 + 0.445233i \(0.146879\pi\)
\(762\) −210.652 + 385.598i −0.276446 + 0.506033i
\(763\) 1.79197 + 1.36222i 0.00234859 + 0.00178535i
\(764\) 74.5605 123.920i 0.0975922 0.162200i
\(765\) 286.803 + 182.488i 0.374906 + 0.238546i
\(766\) −417.475 −0.545006
\(767\) −63.6489 77.5401i −0.0829842 0.101095i
\(768\) −65.3955 + 538.540i −0.0851504 + 0.701223i
\(769\) 866.906 + 292.095i 1.12732 + 0.379837i 0.820338 0.571879i \(-0.193786\pi\)
0.306978 + 0.951716i \(0.400682\pi\)
\(770\) 18.9453 31.4874i 0.0246043 0.0408927i
\(771\) −279.929 271.886i −0.363073 0.352641i
\(772\) −36.1034 + 90.6126i −0.0467660 + 0.117374i
\(773\) 603.724 512.808i 0.781014 0.663400i −0.165446 0.986219i \(-0.552906\pi\)