Properties

Label 588.2.x.a.55.17
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.17
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.311114 + 1.37957i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.80642 + 0.858405i) q^{4} +(0.477768 - 0.992096i) q^{5} +(0.318268 - 1.37794i) q^{6} +(-2.27188 - 1.35593i) q^{7} +(-1.74623 - 2.22501i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(0.311114 + 1.37957i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.80642 + 0.858405i) q^{4} +(0.477768 - 0.992096i) q^{5} +(0.318268 - 1.37794i) q^{6} +(-2.27188 - 1.35593i) q^{7} +(-1.74623 - 2.22501i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.51730 + 0.350459i) q^{10} +(1.30247 + 1.03868i) q^{11} +(1.99997 + 0.0103783i) q^{12} +(2.97068 + 2.36904i) q^{13} +(1.16378 - 3.55607i) q^{14} +(-0.860908 + 0.686552i) q^{15} +(2.52628 - 3.10127i) q^{16} +(4.80790 + 1.09737i) q^{17} +(-0.884614 + 1.10339i) q^{18} +4.75410 q^{19} +(-0.0114279 + 2.20226i) q^{20} +(1.45858 + 2.20738i) q^{21} +(-1.02772 + 2.11999i) q^{22} +(0.687683 - 0.156959i) q^{23} +(0.607902 + 2.76233i) q^{24} +(2.36146 + 2.96117i) q^{25} +(-2.34403 + 4.83530i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(5.26790 + 0.499177i) q^{28} +(1.26523 - 5.54334i) q^{29} +(-1.21499 - 0.974086i) q^{30} +0.923958 q^{31} +(5.06438 + 2.52033i) q^{32} +(-0.722815 - 1.50094i) q^{33} +(-0.0180952 + 6.97423i) q^{34} +(-2.43065 + 1.60611i) q^{35} +(-1.79741 - 0.877106i) q^{36} +(2.30980 - 10.1199i) q^{37} +(1.47907 + 6.55860i) q^{38} +(-1.64860 - 3.42336i) q^{39} +(-3.04172 + 0.669387i) q^{40} +(-1.93144 + 4.01068i) q^{41} +(-2.59145 + 2.69896i) q^{42} +(-1.07381 - 2.22980i) q^{43} +(-3.24441 - 0.758249i) q^{44} +(1.07354 - 0.245027i) q^{45} +(0.430484 + 0.899874i) q^{46} +(2.15096 - 2.69722i) q^{47} +(-3.62169 + 1.69804i) q^{48} +(3.32291 + 6.16103i) q^{49} +(-3.35046 + 4.17905i) q^{50} +(-3.85563 - 3.07476i) q^{51} +(-7.39989 - 1.72942i) q^{52} +(2.03963 + 8.93618i) q^{53} +(1.27575 - 0.610296i) q^{54} +(1.65275 - 0.795923i) q^{55} +(0.950269 + 7.42273i) q^{56} +(-4.28330 - 2.06273i) q^{57} +(8.04104 + 0.0208631i) q^{58} +(-10.9919 + 5.29344i) q^{59} +(0.965820 - 1.97921i) q^{60} +(-1.46080 - 0.333417i) q^{61} +(0.287456 + 1.27466i) q^{62} +(-0.356388 - 2.62164i) q^{63} +(-1.90136 + 7.77077i) q^{64} +(3.76961 - 1.81535i) q^{65} +(1.84577 - 1.46414i) q^{66} -3.80325i q^{67} +(-9.62705 + 2.14481i) q^{68} +(-0.687683 - 0.156959i) q^{69} +(-2.97194 - 2.85356i) q^{70} +(-2.52044 + 0.575275i) q^{71} +(0.650829 - 2.75253i) q^{72} +(9.44759 - 7.53420i) q^{73} +(14.6797 + 0.0380877i) q^{74} +(-0.842794 - 3.69252i) q^{75} +(-8.58788 + 4.08094i) q^{76} +(-1.55067 - 4.12582i) q^{77} +(4.20986 - 3.33942i) q^{78} -9.75534i q^{79} +(-1.86979 - 3.98800i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-6.13390 - 1.41678i) q^{82} +(10.3125 + 12.9314i) q^{83} +(-4.52963 - 2.73540i) q^{84} +(3.38576 - 4.24560i) q^{85} +(2.74208 - 2.17512i) q^{86} +(-3.54510 + 4.44541i) q^{87} +(0.0366760 - 4.71179i) q^{88} +(-0.468102 + 0.373299i) q^{89} +(0.672024 + 1.40478i) q^{90} +(-3.53679 - 9.41022i) q^{91} +(-1.10751 + 0.873845i) q^{92} +(-0.832457 - 0.400890i) q^{93} +(4.39019 + 2.12825i) q^{94} +(2.27136 - 4.71652i) q^{95} +(-3.46932 - 4.46809i) q^{96} -5.63973i q^{97} +(-7.46576 + 6.50096i) q^{98} +1.66592i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.311114 + 1.37957i 0.219991 + 0.975502i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −1.80642 + 0.858405i −0.903208 + 0.429203i
\(5\) 0.477768 0.992096i 0.213664 0.443679i −0.766399 0.642365i \(-0.777953\pi\)
0.980063 + 0.198686i \(0.0636675\pi\)
\(6\) 0.318268 1.37794i 0.129933 0.562540i
\(7\) −2.27188 1.35593i −0.858691 0.512493i
\(8\) −1.74623 2.22501i −0.617385 0.786661i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) 1.51730 + 0.350459i 0.479814 + 0.110825i
\(11\) 1.30247 + 1.03868i 0.392709 + 0.313175i 0.799861 0.600186i \(-0.204907\pi\)
−0.407152 + 0.913360i \(0.633478\pi\)
\(12\) 1.99997 + 0.0103783i 0.577342 + 0.00299594i
\(13\) 2.97068 + 2.36904i 0.823919 + 0.657054i 0.941874 0.335965i \(-0.109062\pi\)
−0.117955 + 0.993019i \(0.537634\pi\)
\(14\) 1.16378 3.55607i 0.311034 0.950399i
\(15\) −0.860908 + 0.686552i −0.222286 + 0.177267i
\(16\) 2.52628 3.10127i 0.631570 0.775319i
\(17\) 4.80790 + 1.09737i 1.16609 + 0.266152i 0.761386 0.648298i \(-0.224519\pi\)
0.404699 + 0.914450i \(0.367376\pi\)
\(18\) −0.884614 + 1.10339i −0.208505 + 0.260070i
\(19\) 4.75410 1.09067 0.545333 0.838220i \(-0.316403\pi\)
0.545333 + 0.838220i \(0.316403\pi\)
\(20\) −0.0114279 + 2.20226i −0.00255537 + 0.492440i
\(21\) 1.45858 + 2.20738i 0.318288 + 0.481691i
\(22\) −1.02772 + 2.11999i −0.219110 + 0.451984i
\(23\) 0.687683 0.156959i 0.143392 0.0327283i −0.150222 0.988652i \(-0.547999\pi\)
0.293614 + 0.955924i \(0.405142\pi\)
\(24\) 0.607902 + 2.76233i 0.124087 + 0.563858i
\(25\) 2.36146 + 2.96117i 0.472291 + 0.592235i
\(26\) −2.34403 + 4.83530i −0.459703 + 0.948280i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) 5.26790 + 0.499177i 0.995540 + 0.0943356i
\(29\) 1.26523 5.54334i 0.234947 1.02937i −0.710526 0.703671i \(-0.751543\pi\)
0.945473 0.325700i \(-0.105600\pi\)
\(30\) −1.21499 0.974086i −0.221825 0.177843i
\(31\) 0.923958 0.165948 0.0829739 0.996552i \(-0.473558\pi\)
0.0829739 + 0.996552i \(0.473558\pi\)
\(32\) 5.06438 + 2.52033i 0.895264 + 0.445535i
\(33\) −0.722815 1.50094i −0.125826 0.261280i
\(34\) −0.0180952 + 6.97423i −0.00310330 + 1.19607i
\(35\) −2.43065 + 1.60611i −0.410854 + 0.271481i
\(36\) −1.79741 0.877106i −0.299568 0.146184i
\(37\) 2.30980 10.1199i 0.379729 1.66370i −0.318572 0.947899i \(-0.603203\pi\)
0.698302 0.715804i \(-0.253939\pi\)
\(38\) 1.47907 + 6.55860i 0.239936 + 1.06395i
\(39\) −1.64860 3.42336i −0.263988 0.548177i
\(40\) −3.04172 + 0.669387i −0.480938 + 0.105839i
\(41\) −1.93144 + 4.01068i −0.301640 + 0.626363i −0.995606 0.0936458i \(-0.970148\pi\)
0.693965 + 0.720009i \(0.255862\pi\)
\(42\) −2.59145 + 2.69896i −0.399870 + 0.416458i
\(43\) −1.07381 2.22980i −0.163755 0.340041i 0.802904 0.596109i \(-0.203287\pi\)
−0.966659 + 0.256068i \(0.917573\pi\)
\(44\) −3.24441 0.758249i −0.489113 0.114310i
\(45\) 1.07354 0.245027i 0.160033 0.0365265i
\(46\) 0.430484 + 0.899874i 0.0634714 + 0.132679i
\(47\) 2.15096 2.69722i 0.313750 0.393429i −0.599805 0.800146i \(-0.704755\pi\)
0.913554 + 0.406717i \(0.133326\pi\)
\(48\) −3.62169 + 1.69804i −0.522746 + 0.245091i
\(49\) 3.32291 + 6.16103i 0.474701 + 0.880147i
\(50\) −3.35046 + 4.17905i −0.473826 + 0.591007i
\(51\) −3.85563 3.07476i −0.539897 0.430553i
\(52\) −7.39989 1.72942i −1.02618 0.239828i
\(53\) 2.03963 + 8.93618i 0.280164 + 1.22748i 0.897583 + 0.440845i \(0.145321\pi\)
−0.617419 + 0.786634i \(0.711822\pi\)
\(54\) 1.27575 0.610296i 0.173608 0.0830508i
\(55\) 1.65275 0.795923i 0.222857 0.107322i
\(56\) 0.950269 + 7.42273i 0.126985 + 0.991905i
\(57\) −4.28330 2.06273i −0.567336 0.273215i
\(58\) 8.04104 + 0.0208631i 1.05584 + 0.00273946i
\(59\) −10.9919 + 5.29344i −1.43103 + 0.689148i −0.979189 0.202951i \(-0.934947\pi\)
−0.451841 + 0.892098i \(0.649233\pi\)
\(60\) 0.965820 1.97921i 0.124687 0.255514i
\(61\) −1.46080 0.333417i −0.187036 0.0426897i 0.127977 0.991777i \(-0.459152\pi\)
−0.315013 + 0.949087i \(0.602009\pi\)
\(62\) 0.287456 + 1.27466i 0.0365070 + 0.161882i
\(63\) −0.356388 2.62164i −0.0449006 0.330295i
\(64\) −1.90136 + 7.77077i −0.237671 + 0.971346i
\(65\) 3.76961 1.81535i 0.467563 0.225166i
\(66\) 1.84577 1.46414i 0.227199 0.180223i
\(67\) 3.80325i 0.464641i −0.972639 0.232321i \(-0.925368\pi\)
0.972639 0.232321i \(-0.0746319\pi\)
\(68\) −9.62705 + 2.14481i −1.16745 + 0.260097i
\(69\) −0.687683 0.156959i −0.0827874 0.0188957i
\(70\) −2.97194 2.85356i −0.355215 0.341066i
\(71\) −2.52044 + 0.575275i −0.299122 + 0.0682726i −0.369448 0.929251i \(-0.620453\pi\)
0.0703261 + 0.997524i \(0.477596\pi\)
\(72\) 0.650829 2.75253i 0.0767009 0.324389i
\(73\) 9.44759 7.53420i 1.10576 0.881811i 0.112036 0.993704i \(-0.464263\pi\)
0.993720 + 0.111893i \(0.0356913\pi\)
\(74\) 14.6797 + 0.0380877i 1.70648 + 0.00442761i
\(75\) −0.842794 3.69252i −0.0973175 0.426376i
\(76\) −8.58788 + 4.08094i −0.985098 + 0.468116i
\(77\) −1.55067 4.12582i −0.176716 0.470181i
\(78\) 4.20986 3.33942i 0.476673 0.378115i
\(79\) 9.75534i 1.09756i −0.835966 0.548781i \(-0.815092\pi\)
0.835966 0.548781i \(-0.184908\pi\)
\(80\) −1.86979 3.98800i −0.209048 0.445872i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −6.13390 1.41678i −0.677376 0.156457i
\(83\) 10.3125 + 12.9314i 1.13194 + 1.41941i 0.893966 + 0.448134i \(0.147911\pi\)
0.237972 + 0.971272i \(0.423517\pi\)
\(84\) −4.52963 2.73540i −0.494224 0.298457i
\(85\) 3.38576 4.24560i 0.367237 0.460500i
\(86\) 2.74208 2.17512i 0.295686 0.234549i
\(87\) −3.54510 + 4.44541i −0.380074 + 0.476598i
\(88\) 0.0366760 4.71179i 0.00390967 0.502278i
\(89\) −0.468102 + 0.373299i −0.0496187 + 0.0395696i −0.647985 0.761653i \(-0.724388\pi\)
0.598366 + 0.801223i \(0.295817\pi\)
\(90\) 0.672024 + 1.40478i 0.0708375 + 0.148077i
\(91\) −3.53679 9.41022i −0.370757 0.986459i
\(92\) −1.10751 + 0.873845i −0.115466 + 0.0911046i
\(93\) −0.832457 0.400890i −0.0863218 0.0415704i
\(94\) 4.39019 + 2.12825i 0.452813 + 0.219512i
\(95\) 2.27136 4.71652i 0.233036 0.483905i
\(96\) −3.46932 4.46809i −0.354086 0.456022i
\(97\) 5.63973i 0.572628i −0.958136 0.286314i \(-0.907570\pi\)
0.958136 0.286314i \(-0.0924301\pi\)
\(98\) −7.46576 + 6.50096i −0.754155 + 0.656696i
\(99\) 1.66592i 0.167431i
\(100\) −6.80766 3.32203i −0.680766 0.332203i
\(101\) −7.95176 + 16.5120i −0.791229 + 1.64300i −0.0256429 + 0.999671i \(0.508163\pi\)
−0.765586 + 0.643333i \(0.777551\pi\)
\(102\) 3.04231 6.27571i 0.301233 0.621388i
\(103\) −2.33791 1.12588i −0.230361 0.110936i 0.315143 0.949044i \(-0.397947\pi\)
−0.545504 + 0.838108i \(0.683662\pi\)
\(104\) 0.0836510 10.7467i 0.00820266 1.05380i
\(105\) 2.88680 0.392434i 0.281723 0.0382976i
\(106\) −11.6935 + 5.59397i −1.13577 + 0.543335i
\(107\) 5.75973 4.59323i 0.556815 0.444045i −0.304212 0.952604i \(-0.598393\pi\)
0.861027 + 0.508559i \(0.169822\pi\)
\(108\) 1.23885 + 1.57011i 0.119208 + 0.151084i
\(109\) 1.50332 1.88510i 0.143992 0.180560i −0.704606 0.709599i \(-0.748876\pi\)
0.848597 + 0.529039i \(0.177448\pi\)
\(110\) 1.61222 + 2.03246i 0.153719 + 0.193787i
\(111\) −6.47192 + 8.11553i −0.614288 + 0.770292i
\(112\) −9.94453 + 3.62028i −0.939669 + 0.342084i
\(113\) −11.2515 14.1089i −1.05845 1.32726i −0.942576 0.333991i \(-0.891604\pi\)
−0.115874 0.993264i \(-0.536967\pi\)
\(114\) 1.51308 6.55084i 0.141713 0.613542i
\(115\) 0.172835 0.757238i 0.0161169 0.0706128i
\(116\) 2.47290 + 11.0997i 0.229603 + 1.03058i
\(117\) 3.79965i 0.351277i
\(118\) −10.7224 13.5173i −0.987078 1.24437i
\(119\) −9.43502 9.01227i −0.864907 0.826153i
\(120\) 3.03093 + 0.716656i 0.276685 + 0.0654214i
\(121\) −1.83017 8.01851i −0.166379 0.728955i
\(122\) 0.00549791 2.11900i 0.000497757 0.191845i
\(123\) 3.48034 2.77548i 0.313811 0.250256i
\(124\) −1.66905 + 0.793131i −0.149885 + 0.0712252i
\(125\) 9.43367 2.15317i 0.843773 0.192586i
\(126\) 3.50585 1.30729i 0.312326 0.116463i
\(127\) 11.7031 + 2.67116i 1.03848 + 0.237027i 0.707576 0.706637i \(-0.249789\pi\)
0.330906 + 0.943664i \(0.392646\pi\)
\(128\) −11.3118 0.205469i −0.999835 0.0181610i
\(129\) 2.47489i 0.217902i
\(130\) 3.67718 + 4.63566i 0.322510 + 0.406574i
\(131\) −4.87113 + 2.34581i −0.425593 + 0.204955i −0.634405 0.773001i \(-0.718755\pi\)
0.208812 + 0.977956i \(0.433040\pi\)
\(132\) 2.59412 + 2.09086i 0.225789 + 0.181986i
\(133\) −10.8008 6.44622i −0.936545 0.558959i
\(134\) 5.24685 1.18324i 0.453259 0.102217i
\(135\) −1.07354 0.245027i −0.0923952 0.0210886i
\(136\) −5.95403 12.6139i −0.510553 1.08163i
\(137\) −9.64836 + 4.64641i −0.824315 + 0.396969i −0.797980 0.602684i \(-0.794098\pi\)
−0.0263352 + 0.999653i \(0.508384\pi\)
\(138\) 0.00258819 0.997538i 0.000220322 0.0849161i
\(139\) 19.2896 + 9.28936i 1.63612 + 0.787914i 0.999865 + 0.0164342i \(0.00523142\pi\)
0.636254 + 0.771479i \(0.280483\pi\)
\(140\) 3.01207 4.98778i 0.254566 0.421544i
\(141\) −3.10823 + 1.49684i −0.261760 + 0.126057i
\(142\) −1.57778 3.29815i −0.132404 0.276774i
\(143\) 1.40854 + 6.17120i 0.117788 + 0.516061i
\(144\) 3.99978 + 0.0415125i 0.333315 + 0.00345937i
\(145\) −4.89503 3.90366i −0.406510 0.324181i
\(146\) 13.3332 + 10.6896i 1.10346 + 0.884677i
\(147\) −0.320668 6.99265i −0.0264482 0.576744i
\(148\) 4.51452 + 20.2635i 0.371091 + 1.66565i
\(149\) −4.07343 + 5.10792i −0.333709 + 0.418457i −0.920169 0.391520i \(-0.871949\pi\)
0.586461 + 0.809977i \(0.300521\pi\)
\(150\) 4.83188 2.31149i 0.394522 0.188732i
\(151\) 4.20290 0.959285i 0.342027 0.0780655i −0.0480572 0.998845i \(-0.515303\pi\)
0.390084 + 0.920779i \(0.372446\pi\)
\(152\) −8.30175 10.5779i −0.673361 0.857983i
\(153\) 2.13971 + 4.44316i 0.172986 + 0.359208i
\(154\) 5.20942 3.42286i 0.419787 0.275822i
\(155\) 0.441438 0.916655i 0.0354571 0.0736275i
\(156\) 5.91670 + 4.76885i 0.473715 + 0.381813i
\(157\) −3.65606 7.59189i −0.291785 0.605899i 0.702616 0.711570i \(-0.252015\pi\)
−0.994401 + 0.105671i \(0.966301\pi\)
\(158\) 13.4582 3.03502i 1.07067 0.241453i
\(159\) 2.03963 8.93618i 0.161753 0.708685i
\(160\) 4.92001 3.82022i 0.388961 0.302015i
\(161\) −1.77516 0.575857i −0.139902 0.0453839i
\(162\) −1.41421 0.00366928i −0.111111 0.000288286i
\(163\) 9.39553 + 19.5100i 0.735914 + 1.52814i 0.845388 + 0.534152i \(0.179369\pi\)
−0.109474 + 0.993990i \(0.534917\pi\)
\(164\) 0.0461990 8.90292i 0.00360753 0.695201i
\(165\) −1.83441 −0.142809
\(166\) −14.6314 + 18.2499i −1.13562 + 1.41646i
\(167\) 1.03499 4.53459i 0.0800899 0.350897i −0.918966 0.394336i \(-0.870974\pi\)
0.999056 + 0.0434396i \(0.0138316\pi\)
\(168\) 2.36444 7.09996i 0.182421 0.547774i
\(169\) 0.319831 + 1.40127i 0.0246024 + 0.107790i
\(170\) 6.91046 + 3.35002i 0.530008 + 0.256934i
\(171\) 2.96413 + 3.71690i 0.226673 + 0.284239i
\(172\) 3.85383 + 3.10618i 0.293852 + 0.236844i
\(173\) 2.12438 0.484876i 0.161514 0.0368644i −0.140999 0.990010i \(-0.545032\pi\)
0.302513 + 0.953145i \(0.402174\pi\)
\(174\) −7.23567 3.50767i −0.548535 0.265916i
\(175\) −1.34981 9.92941i −0.102036 0.750593i
\(176\) 6.51164 1.41530i 0.490833 0.106683i
\(177\) 12.2001 0.917019
\(178\) −0.660624 0.529640i −0.0495158 0.0396982i
\(179\) 17.8481 + 4.07372i 1.33403 + 0.304484i 0.829306 0.558795i \(-0.188736\pi\)
0.504727 + 0.863279i \(0.331593\pi\)
\(180\) −1.72892 + 1.36415i −0.128866 + 0.101678i
\(181\) −9.42031 + 7.51244i −0.700206 + 0.558396i −0.907587 0.419865i \(-0.862078\pi\)
0.207381 + 0.978260i \(0.433506\pi\)
\(182\) 11.8817 7.80690i 0.880730 0.578686i
\(183\) 1.17147 + 0.934213i 0.0865973 + 0.0690590i
\(184\) −1.55009 1.25602i −0.114274 0.0925948i
\(185\) −8.93637 7.12651i −0.657015 0.523952i
\(186\) 0.294067 1.27315i 0.0215620 0.0933522i
\(187\) 5.12231 + 6.42317i 0.374580 + 0.469709i
\(188\) −1.57022 + 6.71869i −0.114520 + 0.490011i
\(189\) −0.816392 + 2.51665i −0.0593838 + 0.183059i
\(190\) 7.21341 + 1.66612i 0.523316 + 0.120873i
\(191\) 3.10491 6.44742i 0.224664 0.466519i −0.757918 0.652350i \(-0.773783\pi\)
0.982582 + 0.185831i \(0.0594976\pi\)
\(192\) 5.08468 6.17625i 0.366955 0.445732i
\(193\) −20.1531 9.70520i −1.45065 0.698595i −0.467941 0.883760i \(-0.655004\pi\)
−0.982708 + 0.185164i \(0.940718\pi\)
\(194\) 7.78040 1.75460i 0.558600 0.125973i
\(195\) −4.18395 −0.299619
\(196\) −11.2912 8.27698i −0.806516 0.591213i
\(197\) 3.04417 0.216888 0.108444 0.994103i \(-0.465413\pi\)
0.108444 + 0.994103i \(0.465413\pi\)
\(198\) −2.29825 + 0.518290i −0.163329 + 0.0368333i
\(199\) −3.18293 1.53282i −0.225632 0.108659i 0.317653 0.948207i \(-0.397105\pi\)
−0.543285 + 0.839548i \(0.682820\pi\)
\(200\) 2.46500 10.4252i 0.174302 0.737170i
\(201\) −1.65017 + 3.42661i −0.116394 + 0.241695i
\(202\) −25.2533 5.83288i −1.77682 0.410400i
\(203\) −10.3908 + 10.8782i −0.729293 + 0.763503i
\(204\) 9.60427 + 2.24461i 0.672434 + 0.157154i
\(205\) 3.05620 + 3.83235i 0.213454 + 0.267663i
\(206\) 0.825869 3.57558i 0.0575410 0.249122i
\(207\) 0.551479 + 0.439790i 0.0383305 + 0.0305675i
\(208\) 14.8518 3.22804i 1.02979 0.223825i
\(209\) 6.19206 + 4.93800i 0.428314 + 0.341569i
\(210\) 1.43951 + 3.86044i 0.0993358 + 0.266396i
\(211\) −11.9773 + 9.55156i −0.824550 + 0.657556i −0.942034 0.335518i \(-0.891089\pi\)
0.117484 + 0.993075i \(0.462517\pi\)
\(212\) −11.3553 14.3916i −0.779884 0.988422i
\(213\) 2.52044 + 0.575275i 0.172698 + 0.0394172i
\(214\) 8.12861 + 6.51693i 0.555661 + 0.445488i
\(215\) −2.72521 −0.185858
\(216\) −1.78065 + 2.19756i −0.121158 + 0.149525i
\(217\) −2.09913 1.25282i −0.142498 0.0850471i
\(218\) 3.06833 + 1.48745i 0.207814 + 0.100743i
\(219\) −11.7810 + 2.68893i −0.796083 + 0.181701i
\(220\) −2.30233 + 2.85650i −0.155223 + 0.192585i
\(221\) 11.6830 + 14.6500i 0.785885 + 0.985468i
\(222\) −13.2094 6.40360i −0.886559 0.429782i
\(223\) 3.35634 + 14.7051i 0.224757 + 0.984725i 0.953844 + 0.300303i \(0.0970879\pi\)
−0.729087 + 0.684421i \(0.760055\pi\)
\(224\) −8.08830 12.5928i −0.540422 0.841394i
\(225\) −0.842794 + 3.69252i −0.0561863 + 0.246168i
\(226\) 15.9637 19.9117i 1.06189 1.32450i
\(227\) −13.9614 −0.926654 −0.463327 0.886187i \(-0.653344\pi\)
−0.463327 + 0.886187i \(0.653344\pi\)
\(228\) 9.50807 + 0.0493393i 0.629687 + 0.00326757i
\(229\) −0.788267 1.63685i −0.0520902 0.108166i 0.873299 0.487184i \(-0.161976\pi\)
−0.925389 + 0.379018i \(0.876262\pi\)
\(230\) 1.09843 + 0.00284997i 0.0724285 + 0.000187922i
\(231\) −0.393019 + 4.39005i −0.0258587 + 0.288844i
\(232\) −14.5434 + 6.86478i −0.954819 + 0.450695i
\(233\) −0.435572 + 1.90836i −0.0285353 + 0.125021i −0.987189 0.159552i \(-0.948995\pi\)
0.958654 + 0.284574i \(0.0918520\pi\)
\(234\) −5.24187 + 1.18212i −0.342672 + 0.0772777i
\(235\) −1.64824 3.42260i −0.107519 0.223266i
\(236\) 15.3121 18.9977i 0.996734 1.23665i
\(237\) −4.23268 + 8.78926i −0.274942 + 0.570924i
\(238\) 9.49767 15.8201i 0.615643 1.02546i
\(239\) −7.36156 15.2864i −0.476180 0.988798i −0.991293 0.131675i \(-0.957964\pi\)
0.515113 0.857122i \(-0.327750\pi\)
\(240\) −0.0457112 + 4.40434i −0.00295064 + 0.284299i
\(241\) −0.848820 + 0.193738i −0.0546773 + 0.0124797i −0.249772 0.968305i \(-0.580356\pi\)
0.195095 + 0.980784i \(0.437499\pi\)
\(242\) 10.4927 5.01951i 0.674495 0.322667i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) 2.92501 0.651664i 0.187255 0.0417185i
\(245\) 7.69991 0.353101i 0.491929 0.0225588i
\(246\) 4.91174 + 3.93787i 0.313161 + 0.251070i
\(247\) 14.1229 + 11.2627i 0.898620 + 0.716625i
\(248\) −1.61344 2.05582i −0.102454 0.130545i
\(249\) −3.68047 16.1252i −0.233240 1.02189i
\(250\) 5.90540 + 12.3445i 0.373490 + 0.780736i
\(251\) −23.2284 + 11.1862i −1.46616 + 0.706066i −0.985316 0.170739i \(-0.945384\pi\)
−0.480845 + 0.876805i \(0.659670\pi\)
\(252\) 2.89421 + 4.42985i 0.182318 + 0.279054i
\(253\) 1.05872 + 0.509851i 0.0665609 + 0.0320540i
\(254\) −0.0440463 + 16.9763i −0.00276371 + 1.06518i
\(255\) −4.89256 + 2.35613i −0.306384 + 0.147547i
\(256\) −3.23581 15.6694i −0.202238 0.979336i
\(257\) 1.19958 + 0.273796i 0.0748277 + 0.0170789i 0.259771 0.965670i \(-0.416353\pi\)
−0.184943 + 0.982749i \(0.559210\pi\)
\(258\) −3.41428 + 0.769973i −0.212564 + 0.0479364i
\(259\) −18.9695 + 19.8593i −1.17871 + 1.23400i
\(260\) −5.25118 + 6.51513i −0.325665 + 0.404051i
\(261\) 5.12281 2.46702i 0.317094 0.152704i
\(262\) −4.75169 5.99024i −0.293560 0.370078i
\(263\) 9.47880i 0.584488i −0.956344 0.292244i \(-0.905598\pi\)
0.956344 0.292244i \(-0.0944019\pi\)
\(264\) −2.07741 + 4.22926i −0.127856 + 0.260293i
\(265\) 9.84002 + 2.24592i 0.604467 + 0.137966i
\(266\) 5.53274 16.9059i 0.339234 1.03657i
\(267\) 0.583713 0.133229i 0.0357227 0.00815346i
\(268\) 3.26473 + 6.87026i 0.199425 + 0.419668i
\(269\) 1.63184 1.30135i 0.0994948 0.0793444i −0.572479 0.819919i \(-0.694018\pi\)
0.671974 + 0.740575i \(0.265447\pi\)
\(270\) 0.00404040 1.55725i 0.000245891 0.0947710i
\(271\) −0.568840 2.49225i −0.0345546 0.151394i 0.954707 0.297546i \(-0.0961682\pi\)
−0.989262 + 0.146152i \(0.953311\pi\)
\(272\) 15.5493 12.1383i 0.942817 0.735995i
\(273\) −0.896402 + 10.0129i −0.0542527 + 0.606007i
\(274\) −9.41177 11.8650i −0.568586 0.716792i
\(275\) 6.30964i 0.380485i
\(276\) 1.37698 0.306777i 0.0828843 0.0184658i
\(277\) −6.67069 + 29.2262i −0.400803 + 1.75603i 0.223359 + 0.974736i \(0.428298\pi\)
−0.624162 + 0.781295i \(0.714559\pi\)
\(278\) −6.81406 + 29.5013i −0.408680 + 1.76937i
\(279\) 0.576078 + 0.722380i 0.0344889 + 0.0432477i
\(280\) 7.81807 + 2.60359i 0.467219 + 0.155594i
\(281\) −16.9002 + 21.1922i −1.00818 + 1.26422i −0.0439881 + 0.999032i \(0.514006\pi\)
−0.964196 + 0.265191i \(0.914565\pi\)
\(282\) −3.03201 3.82232i −0.180553 0.227616i
\(283\) −13.5924 + 17.0443i −0.807982 + 1.01318i 0.191516 + 0.981490i \(0.438660\pi\)
−0.999498 + 0.0316878i \(0.989912\pi\)
\(284\) 4.05915 3.20275i 0.240866 0.190048i
\(285\) −4.09284 + 3.26393i −0.242439 + 0.193339i
\(286\) −8.07537 + 3.86311i −0.477507 + 0.228431i
\(287\) 9.82621 6.49290i 0.580023 0.383264i
\(288\) 1.18712 + 5.53089i 0.0699516 + 0.325911i
\(289\) 6.59516 + 3.17606i 0.387951 + 0.186827i
\(290\) 3.86245 7.96751i 0.226811 0.467869i
\(291\) −2.44699 + 5.08122i −0.143445 + 0.297867i
\(292\) −10.5989 + 21.7198i −0.620253 + 1.27105i
\(293\) 18.6200i 1.08779i −0.839152 0.543897i \(-0.816948\pi\)
0.839152 0.543897i \(-0.183052\pi\)
\(294\) 9.54707 2.61789i 0.556797 0.152679i
\(295\) 13.4341i 0.782164i
\(296\) −26.5504 + 12.5323i −1.54321 + 0.728427i
\(297\) 0.722815 1.50094i 0.0419420 0.0870934i
\(298\) −8.31403 4.03043i −0.481619 0.233477i
\(299\) 2.41473 + 1.16287i 0.139648 + 0.0672507i
\(300\) 4.69212 + 5.94678i 0.270900 + 0.343337i
\(301\) −0.583869 + 6.52186i −0.0336537 + 0.375914i
\(302\) 2.63098 + 5.49974i 0.151396 + 0.316475i
\(303\) 14.3286 11.4267i 0.823155 0.656444i
\(304\) 12.0102 14.7438i 0.688832 0.845613i
\(305\) −1.02870 + 1.28995i −0.0589034 + 0.0738625i
\(306\) −5.46395 + 4.33421i −0.312353 + 0.247770i
\(307\) 17.2921 21.6837i 0.986915 1.23755i 0.0155697 0.999879i \(-0.495044\pi\)
0.971345 0.237673i \(-0.0763848\pi\)
\(308\) 6.34279 + 6.12184i 0.361414 + 0.348824i
\(309\) 1.61788 + 2.02876i 0.0920381 + 0.115412i
\(310\) 1.40193 + 0.323809i 0.0796240 + 0.0183911i
\(311\) −2.52659 + 11.0697i −0.143270 + 0.627706i 0.851393 + 0.524528i \(0.175758\pi\)
−0.994663 + 0.103178i \(0.967099\pi\)
\(312\) −4.73818 + 9.64614i −0.268247 + 0.546105i
\(313\) 19.6867i 1.11276i −0.830928 0.556379i \(-0.812190\pi\)
0.830928 0.556379i \(-0.187810\pi\)
\(314\) 9.33608 7.40573i 0.526865 0.417929i
\(315\) −2.77119 0.898965i −0.156139 0.0506509i
\(316\) 8.37403 + 17.6222i 0.471076 + 0.991326i
\(317\) −2.20791 9.67349i −0.124009 0.543317i −0.998319 0.0579509i \(-0.981543\pi\)
0.874311 0.485367i \(-0.161314\pi\)
\(318\) 12.9626 + 0.0336326i 0.726908 + 0.00188602i
\(319\) 7.40569 5.90584i 0.414639 0.330664i
\(320\) 6.80093 + 5.59896i 0.380184 + 0.312991i
\(321\) −7.18227 + 1.63931i −0.400875 + 0.0914972i
\(322\) 0.242157 2.62811i 0.0134949 0.146459i
\(323\) 22.8572 + 5.21701i 1.27181 + 0.290282i
\(324\) −0.434918 1.95214i −0.0241621 0.108452i
\(325\) 14.3911i 0.798274i
\(326\) −23.9923 + 19.0316i −1.32881 + 1.05406i
\(327\) −2.17236 + 1.04615i −0.120132 + 0.0578524i
\(328\) 12.2966 2.70609i 0.678964 0.149419i
\(329\) −8.54396 + 3.21121i −0.471044 + 0.177040i
\(330\) −0.570712 2.53070i −0.0314166 0.139310i
\(331\) 25.6987 + 5.86557i 1.41253 + 0.322401i 0.859660 0.510867i \(-0.170675\pi\)
0.552870 + 0.833267i \(0.313533\pi\)
\(332\) −29.7290 14.5072i −1.63159 0.796188i
\(333\) 9.35220 4.50378i 0.512497 0.246806i
\(334\) 6.57777 + 0.0170666i 0.359920 + 0.000933840i
\(335\) −3.77319 1.81707i −0.206152 0.0992773i
\(336\) 10.5305 + 1.05301i 0.574485 + 0.0574465i
\(337\) −1.71631 + 0.826532i −0.0934934 + 0.0450241i −0.480046 0.877243i \(-0.659380\pi\)
0.386553 + 0.922267i \(0.373666\pi\)
\(338\) −1.83365 + 0.877185i −0.0997373 + 0.0477125i
\(339\) 4.01561 + 17.5935i 0.218098 + 0.955549i
\(340\) −2.47164 + 10.5757i −0.134043 + 0.573547i
\(341\) 1.20343 + 0.959700i 0.0651691 + 0.0519706i
\(342\) −4.20554 + 5.24560i −0.227410 + 0.283650i
\(343\) 0.804659 18.5028i 0.0434475 0.999056i
\(344\) −3.08621 + 6.28299i −0.166397 + 0.338756i
\(345\) −0.484272 + 0.607258i −0.0260723 + 0.0326937i
\(346\) 1.32984 + 2.77988i 0.0714929 + 0.149447i
\(347\) −15.0020 + 3.42412i −0.805351 + 0.183816i −0.605329 0.795975i \(-0.706959\pi\)
−0.200022 + 0.979791i \(0.564101\pi\)
\(348\) 2.58796 11.0734i 0.138729 0.593596i
\(349\) 4.79383 + 9.95450i 0.256608 + 0.532852i 0.988979 0.148053i \(-0.0473007\pi\)
−0.732371 + 0.680905i \(0.761586\pi\)
\(350\) 13.2784 4.95134i 0.709758 0.264660i
\(351\) 1.64860 3.42336i 0.0879960 0.182726i
\(352\) 3.97837 + 8.54293i 0.212048 + 0.455340i
\(353\) 15.1017 + 31.3591i 0.803785 + 1.66908i 0.741437 + 0.671022i \(0.234144\pi\)
0.0623475 + 0.998055i \(0.480141\pi\)
\(354\) 3.79563 + 16.8309i 0.201736 + 0.894554i
\(355\) −0.633460 + 2.77537i −0.0336206 + 0.147301i
\(356\) 0.525145 1.07615i 0.0278326 0.0570360i
\(357\) 4.59038 + 12.2135i 0.242949 + 0.646406i
\(358\) −0.0671740 + 25.8901i −0.00355026 + 1.36834i
\(359\) 0.148534 + 0.308434i 0.00783933 + 0.0162785i 0.904852 0.425727i \(-0.139982\pi\)
−0.897012 + 0.442005i \(0.854267\pi\)
\(360\) −2.41983 1.96076i −0.127536 0.103341i
\(361\) 3.60146 0.189550
\(362\) −13.2947 10.6587i −0.698755 0.560210i
\(363\) −1.83017 + 8.01851i −0.0960591 + 0.420862i
\(364\) 14.4667 + 13.9628i 0.758261 + 0.731848i
\(365\) −2.96089 12.9725i −0.154980 0.679012i
\(366\) −0.924352 + 1.90676i −0.0483166 + 0.0996682i
\(367\) −12.2642 15.3788i −0.640186 0.802768i 0.350840 0.936435i \(-0.385896\pi\)
−0.991026 + 0.133667i \(0.957325\pi\)
\(368\) 1.25051 2.52922i 0.0651872 0.131845i
\(369\) −4.33991 + 0.990556i −0.225927 + 0.0515663i
\(370\) 7.05128 14.5455i 0.366579 0.756184i
\(371\) 7.48304 23.0676i 0.388500 1.19761i
\(372\) 1.84789 + 0.00958907i 0.0958087 + 0.000497170i
\(373\) −18.8281 −0.974884 −0.487442 0.873155i \(-0.662070\pi\)
−0.487442 + 0.873155i \(0.662070\pi\)
\(374\) −7.26758 + 9.06491i −0.375798 + 0.468735i
\(375\) −9.43367 2.15317i −0.487153 0.111189i
\(376\) −9.75741 0.0759505i −0.503200 0.00391685i
\(377\) 16.8910 13.4701i 0.869930 0.693746i
\(378\) −3.72587 0.343305i −0.191638 0.0176577i
\(379\) −14.2687 11.3789i −0.732935 0.584496i 0.184287 0.982872i \(-0.441002\pi\)
−0.917222 + 0.398376i \(0.869574\pi\)
\(380\) −0.0543296 + 10.4697i −0.00278705 + 0.537087i
\(381\) −9.38515 7.48441i −0.480816 0.383438i
\(382\) 9.86064 + 2.27756i 0.504514 + 0.116530i
\(383\) 10.2976 + 12.9128i 0.526185 + 0.659815i 0.971910 0.235355i \(-0.0756252\pi\)
−0.445724 + 0.895170i \(0.647054\pi\)
\(384\) 10.1025 + 5.09315i 0.515539 + 0.259908i
\(385\) −4.83407 0.432770i −0.246367 0.0220560i
\(386\) 7.11909 30.8219i 0.362352 1.56879i
\(387\) 1.07381 2.22980i 0.0545851 0.113347i
\(388\) 4.84118 + 10.1877i 0.245773 + 0.517202i
\(389\) −30.4675 14.6724i −1.54476 0.743918i −0.548994 0.835826i \(-0.684989\pi\)
−0.995768 + 0.0919080i \(0.970703\pi\)
\(390\) −1.30169 5.77205i −0.0659134 0.292279i
\(391\) 3.47855 0.175918
\(392\) 7.90580 18.1521i 0.399303 0.916819i
\(393\) 5.40655 0.272724
\(394\) 0.947082 + 4.19964i 0.0477133 + 0.211575i
\(395\) −9.67823 4.66079i −0.486965 0.234510i
\(396\) −1.43003 3.00934i −0.0718619 0.151225i
\(397\) 13.5283 28.0918i 0.678966 1.40989i −0.221586 0.975141i \(-0.571123\pi\)
0.900553 0.434747i \(-0.143162\pi\)
\(398\) 1.12438 4.86796i 0.0563598 0.244009i
\(399\) 6.93424 + 10.4941i 0.347146 + 0.525363i
\(400\) 15.1491 + 0.157228i 0.757456 + 0.00786139i
\(401\) 2.06606 + 2.59076i 0.103174 + 0.129376i 0.830738 0.556664i \(-0.187919\pi\)
−0.727564 + 0.686040i \(0.759347\pi\)
\(402\) −5.24064 1.21046i −0.261379 0.0603720i
\(403\) 2.74479 + 2.18889i 0.136728 + 0.109037i
\(404\) 0.190202 36.6534i 0.00946288 1.82357i
\(405\) 0.860908 + 0.686552i 0.0427789 + 0.0341150i
\(406\) −18.2400 10.9505i −0.905237 0.543463i
\(407\) 13.5198 10.7817i 0.670152 0.534429i
\(408\) −0.108570 + 13.9481i −0.00537503 + 0.690533i
\(409\) −9.68459 2.21045i −0.478872 0.109299i −0.0237304 0.999718i \(-0.507554\pi\)
−0.455142 + 0.890419i \(0.650411\pi\)
\(410\) −4.33616 + 5.40853i −0.214148 + 0.267108i
\(411\) 10.7089 0.528230
\(412\) 5.18970 + 0.0269304i 0.255678 + 0.00132676i
\(413\) 32.1500 + 2.87822i 1.58200 + 0.141628i
\(414\) −0.435148 + 0.897628i −0.0213863 + 0.0441160i
\(415\) 17.7562 4.05273i 0.871615 0.198940i
\(416\) 9.07391 + 19.4848i 0.444885 + 0.955322i
\(417\) −13.3488 16.7389i −0.653693 0.819705i
\(418\) −4.88588 + 10.0786i −0.238976 + 0.492963i
\(419\) 5.45289 + 23.8907i 0.266391 + 1.16714i 0.914178 + 0.405314i \(0.132838\pi\)
−0.647787 + 0.761822i \(0.724305\pi\)
\(420\) −4.87789 + 3.18694i −0.238017 + 0.155507i
\(421\) −3.65165 + 15.9989i −0.177970 + 0.779740i 0.804595 + 0.593824i \(0.202382\pi\)
−0.982566 + 0.185916i \(0.940475\pi\)
\(422\) −16.9033 13.5518i −0.822841 0.659694i
\(423\) 3.44987 0.167738
\(424\) 16.3215 20.1428i 0.792640 0.978222i
\(425\) 8.10413 + 16.8284i 0.393108 + 0.816298i
\(426\) −0.00948605 + 3.65610i −0.000459601 + 0.177139i
\(427\) 2.86667 + 2.73822i 0.138728 + 0.132512i
\(428\) −6.46162 + 13.2415i −0.312334 + 0.640051i
\(429\) 1.40854 6.17120i 0.0680047 0.297948i
\(430\) −0.847850 3.75961i −0.0408870 0.181305i
\(431\) −15.3681 31.9123i −0.740257 1.53716i −0.840267 0.542173i \(-0.817602\pi\)
0.100009 0.994986i \(-0.468113\pi\)
\(432\) −3.58567 1.77284i −0.172516 0.0852959i
\(433\) 3.38359 7.02611i 0.162605 0.337653i −0.803707 0.595025i \(-0.797142\pi\)
0.966312 + 0.257372i \(0.0828565\pi\)
\(434\) 1.07529 3.28566i 0.0516154 0.157717i
\(435\) 2.71654 + 5.64095i 0.130248 + 0.270463i
\(436\) −1.09744 + 4.69574i −0.0525578 + 0.224885i
\(437\) 3.26932 0.746200i 0.156393 0.0356956i
\(438\) −7.37477 15.4161i −0.352380 0.736608i
\(439\) 5.38630 6.75421i 0.257074 0.322361i −0.636500 0.771277i \(-0.719618\pi\)
0.893574 + 0.448916i \(0.148190\pi\)
\(440\) −4.65702 2.28753i −0.222015 0.109054i
\(441\) −2.74509 + 6.43929i −0.130718 + 0.306633i
\(442\) −16.5760 + 20.6753i −0.788439 + 0.983426i
\(443\) −17.5345 13.9833i −0.833091 0.664368i 0.111084 0.993811i \(-0.464568\pi\)
−0.944175 + 0.329443i \(0.893139\pi\)
\(444\) 4.72457 20.2156i 0.224218 0.959388i
\(445\) 0.146704 + 0.642752i 0.00695443 + 0.0304694i
\(446\) −19.2424 + 9.20525i −0.911156 + 0.435881i
\(447\) 5.88628 2.83468i 0.278411 0.134076i
\(448\) 14.8563 15.0762i 0.701894 0.712282i
\(449\) −35.7934 17.2372i −1.68919 0.813473i −0.995662 0.0930488i \(-0.970339\pi\)
−0.693533 0.720425i \(-0.743947\pi\)
\(450\) −5.35629 0.0138973i −0.252498 0.000655127i
\(451\) −6.68146 + 3.21762i −0.314618 + 0.151512i
\(452\) 32.4360 + 15.8282i 1.52566 + 0.744498i
\(453\) −4.20290 0.959285i −0.197469 0.0450711i
\(454\) −4.34360 19.2608i −0.203855 0.903952i
\(455\) −11.0256 0.987067i −0.516888 0.0462744i
\(456\) 2.89002 + 13.1324i 0.135338 + 0.614980i
\(457\) 36.1754 17.4212i 1.69222 0.814928i 0.697016 0.717055i \(-0.254510\pi\)
0.995199 0.0978729i \(-0.0312039\pi\)
\(458\) 2.01291 1.59672i 0.0940571 0.0746097i
\(459\) 4.93154i 0.230185i
\(460\) 0.337806 + 1.51625i 0.0157503 + 0.0706955i
\(461\) 9.18927 + 2.09739i 0.427987 + 0.0976853i 0.431088 0.902310i \(-0.358130\pi\)
−0.00310081 + 0.999995i \(0.500987\pi\)
\(462\) −6.17864 + 0.823608i −0.287457 + 0.0383177i
\(463\) 26.4200 6.03020i 1.22784 0.280247i 0.441061 0.897477i \(-0.354602\pi\)
0.786783 + 0.617230i \(0.211745\pi\)
\(464\) −13.9951 17.9278i −0.649705 0.832279i
\(465\) −0.795443 + 0.634345i −0.0368878 + 0.0294170i
\(466\) −2.76823 0.00718240i −0.128236 0.000332718i
\(467\) −0.859692 3.76656i −0.0397818 0.174296i 0.951134 0.308778i \(-0.0999200\pi\)
−0.990916 + 0.134482i \(0.957063\pi\)
\(468\) −3.26164 6.86374i −0.150769 0.317277i
\(469\) −5.15695 + 8.64055i −0.238126 + 0.398984i
\(470\) 4.20892 3.33867i 0.194143 0.154002i
\(471\) 8.42636i 0.388266i
\(472\) 30.9725 + 15.2137i 1.42562 + 0.700265i
\(473\) 0.917446 4.01959i 0.0421842 0.184821i
\(474\) −13.4422 3.10482i −0.617422 0.142609i
\(475\) 11.2266 + 14.0777i 0.515112 + 0.645930i
\(476\) 24.7798 + 8.18083i 1.13578 + 0.374968i
\(477\) −5.71490 + 7.16626i −0.261667 + 0.328121i
\(478\) 18.7984 14.9116i 0.859819 0.682041i
\(479\) −5.89075 + 7.38677i −0.269155 + 0.337510i −0.897979 0.440037i \(-0.854965\pi\)
0.628824 + 0.777548i \(0.283537\pi\)
\(480\) −6.09030 + 1.30719i −0.277983 + 0.0596647i
\(481\) 30.8362 24.5910i 1.40601 1.12125i
\(482\) −0.531354 1.11073i −0.0242025 0.0505924i
\(483\) 1.34951 + 1.28904i 0.0614049 + 0.0586535i
\(484\) 10.1892 + 12.9137i 0.463145 + 0.586988i
\(485\) −5.59515 2.69448i −0.254063 0.122350i
\(486\) 1.27257 + 0.616908i 0.0577248 + 0.0279835i
\(487\) 1.69241 3.51433i 0.0766906 0.159250i −0.859098 0.511811i \(-0.828975\pi\)
0.935789 + 0.352561i \(0.114689\pi\)
\(488\) 1.80903 + 3.83251i 0.0818908 + 0.173490i
\(489\) 21.6545i 0.979249i
\(490\) 2.88268 + 10.5127i 0.130226 + 0.474915i
\(491\) 18.5950i 0.839182i −0.907713 0.419591i \(-0.862174\pi\)
0.907713 0.419591i \(-0.137826\pi\)
\(492\) −3.90445 + 8.00121i −0.176026 + 0.360722i
\(493\) 12.1662 25.2634i 0.547938 1.13780i
\(494\) −11.1438 + 22.9875i −0.501382 + 1.03426i
\(495\) 1.65275 + 0.795923i 0.0742856 + 0.0357741i
\(496\) 2.33418 2.86545i 0.104808 0.128662i
\(497\) 6.50619 + 2.11059i 0.291842 + 0.0946728i
\(498\) 21.1008 10.0942i 0.945548 0.452333i
\(499\) −16.8513 + 13.4385i −0.754368 + 0.601589i −0.923318 0.384036i \(-0.874534\pi\)
0.168950 + 0.985625i \(0.445962\pi\)
\(500\) −15.1928 + 11.9874i −0.679445 + 0.536095i
\(501\) −2.89998 + 3.63646i −0.129561 + 0.162465i
\(502\) −22.6588 28.5649i −1.01131 1.27492i
\(503\) −2.92619 + 3.66932i −0.130472 + 0.163607i −0.842776 0.538264i \(-0.819080\pi\)
0.712304 + 0.701871i \(0.247652\pi\)
\(504\) −5.21084 + 5.37095i −0.232109 + 0.239241i
\(505\) 12.5824 + 15.7778i 0.559909 + 0.702103i
\(506\) −0.373993 + 1.61919i −0.0166260 + 0.0719819i
\(507\) 0.319831 1.40127i 0.0142042 0.0622327i
\(508\) −23.4336 + 5.22078i −1.03970 + 0.231635i
\(509\) 27.4868i 1.21833i −0.793043 0.609166i \(-0.791504\pi\)
0.793043 0.609166i \(-0.208496\pi\)
\(510\) −4.77259 6.01659i −0.211334 0.266419i
\(511\) −31.6797 + 4.30656i −1.40143 + 0.190511i
\(512\) 20.6103 9.33898i 0.910854 0.412729i
\(513\) −1.05789 4.63490i −0.0467068 0.204636i
\(514\) −0.00451479 + 1.74008i −0.000199139 + 0.0767518i
\(515\) −2.23396 + 1.78152i −0.0984399 + 0.0785032i
\(516\) −2.12446 4.47068i −0.0935241 0.196811i
\(517\) 5.60311 1.27887i 0.246424 0.0562447i
\(518\) −33.2989 19.9912i −1.46307 0.878362i
\(519\) −2.12438 0.484876i −0.0932500 0.0212837i
\(520\) −10.6218 5.21742i −0.465796 0.228799i
\(521\) 25.8196i 1.13118i 0.824687 + 0.565589i \(0.191351\pi\)
−0.824687 + 0.565589i \(0.808649\pi\)
\(522\) 4.99719 + 6.29975i 0.218721 + 0.275732i
\(523\) −3.26317 + 1.57146i −0.142689 + 0.0687152i −0.503866 0.863782i \(-0.668089\pi\)
0.361177 + 0.932497i \(0.382375\pi\)
\(524\) 6.78563 8.41892i 0.296432 0.367782i
\(525\) −3.09207 + 9.53175i −0.134949 + 0.416000i
\(526\) 13.0767 2.94899i 0.570169 0.128582i
\(527\) 4.44229 + 1.01392i 0.193509 + 0.0441672i
\(528\) −6.48086 1.55015i −0.282043 0.0674616i
\(529\) −20.2740 + 9.76345i −0.881479 + 0.424498i
\(530\) −0.0370343 + 14.2737i −0.00160867 + 0.620010i
\(531\) −10.9919 5.29344i −0.477010 0.229716i
\(532\) 25.0441 + 2.37314i 1.08580 + 0.102888i
\(533\) −15.2392 + 7.33879i −0.660081 + 0.317878i
\(534\) 0.365399 + 0.763823i 0.0158124 + 0.0330538i
\(535\) −1.80511 7.90871i −0.0780418 0.341923i
\(536\) −8.46229 + 6.64135i −0.365515 + 0.286863i
\(537\) −14.3131 11.4143i −0.617656 0.492564i
\(538\) 2.30298 + 1.84636i 0.0992886 + 0.0796023i
\(539\) −2.07138 + 11.4760i −0.0892204 + 0.494306i
\(540\) 2.14958 0.478907i 0.0925034 0.0206089i
\(541\) −17.7373 + 22.2418i −0.762585 + 0.956252i −0.999885 0.0151849i \(-0.995166\pi\)
0.237299 + 0.971437i \(0.423738\pi\)
\(542\) 3.26126 1.56013i 0.140083 0.0670132i
\(543\) 11.7469 2.68116i 0.504109 0.115060i
\(544\) 21.5833 + 17.6750i 0.925375 + 0.757808i
\(545\) −1.15196 2.39208i −0.0493447 0.102465i
\(546\) −14.0923 + 1.87850i −0.603096 + 0.0803922i
\(547\) 14.7649 30.6595i 0.631300 1.31091i −0.302513 0.953145i \(-0.597826\pi\)
0.933813 0.357762i \(-0.116460\pi\)
\(548\) 13.4405 16.6756i 0.574148 0.712344i
\(549\) −0.650115 1.34998i −0.0277462 0.0576156i
\(550\) −8.70458 + 1.96302i −0.371164 + 0.0837033i
\(551\) 6.01503 26.3536i 0.256249 1.12270i
\(552\) 0.851617 + 1.80419i 0.0362472 + 0.0767915i
\(553\) −13.2276 + 22.1630i −0.562493 + 0.942466i
\(554\) −42.3949 0.109997i −1.80118 0.00467332i
\(555\) 4.95931 + 10.2981i 0.210511 + 0.437130i
\(556\) −42.8190 0.222196i −1.81593 0.00942322i
\(557\) 26.8701 1.13852 0.569262 0.822156i \(-0.307229\pi\)
0.569262 + 0.822156i \(0.307229\pi\)
\(558\) −0.817346 + 1.01948i −0.0346010 + 0.0431581i
\(559\) 2.09252 9.16794i 0.0885043 0.387762i
\(560\) −1.15952 + 11.5956i −0.0489985 + 0.490002i
\(561\) −1.82813 8.00956i −0.0771837 0.338164i
\(562\) −34.4940 16.7218i −1.45504 0.705368i
\(563\) 22.1230 + 27.7414i 0.932374 + 1.16916i 0.985347 + 0.170564i \(0.0545590\pi\)
−0.0529726 + 0.998596i \(0.516870\pi\)
\(564\) 4.32985 5.37204i 0.182320 0.226204i
\(565\) −19.3730 + 4.42176i −0.815028 + 0.186025i
\(566\) −27.7425 13.4489i −1.16610 0.565298i
\(567\) 1.82748 1.91320i 0.0767468 0.0803468i
\(568\) 5.68127 + 4.60346i 0.238381 + 0.193157i
\(569\) −8.38463 −0.351502 −0.175751 0.984435i \(-0.556235\pi\)
−0.175751 + 0.984435i \(0.556235\pi\)
\(570\) −5.77616 4.63090i −0.241937 0.193967i
\(571\) −30.4531 6.95073i −1.27442 0.290879i −0.468799 0.883305i \(-0.655313\pi\)
−0.805625 + 0.592426i \(0.798170\pi\)
\(572\) −7.84179 9.93865i −0.327882 0.415556i
\(573\) −5.59486 + 4.46175i −0.233729 + 0.186392i
\(574\) 12.0145 + 11.5359i 0.501474 + 0.481499i
\(575\) 2.08872 + 1.66570i 0.0871056 + 0.0694644i
\(576\) −7.26091 + 3.35845i −0.302538 + 0.139935i
\(577\) 18.3169 + 14.6073i 0.762544 + 0.608109i 0.925598 0.378508i \(-0.123563\pi\)
−0.163053 + 0.986617i \(0.552134\pi\)
\(578\) −2.32975 + 10.0866i −0.0969048 + 0.419547i
\(579\) 13.9463 + 17.4882i 0.579590 + 0.726783i
\(580\) 12.1934 + 2.84971i 0.506303 + 0.118328i
\(581\) −5.89461 43.3616i −0.244550 1.79894i
\(582\) −7.77119 1.79495i −0.322126 0.0744030i
\(583\) −6.62532 + 13.7576i −0.274393 + 0.569782i
\(584\) −33.2614 7.86456i −1.37636 0.325438i
\(585\) 3.76961 + 1.81535i 0.155854 + 0.0750555i
\(586\) 25.6876 5.79295i 1.06114 0.239304i
\(587\) −2.19302 −0.0905155 −0.0452577 0.998975i \(-0.514411\pi\)
−0.0452577 + 0.998975i \(0.514411\pi\)
\(588\) 6.58179 + 12.3564i 0.271428 + 0.509568i
\(589\) 4.39259 0.180993
\(590\) −18.5333 + 4.17954i −0.763002 + 0.172069i
\(591\) −2.74270 1.32081i −0.112820 0.0543310i
\(592\) −25.5494 32.7291i −1.05007 1.34516i
\(593\) −7.17649 + 14.9021i −0.294703 + 0.611957i −0.994772 0.102118i \(-0.967438\pi\)
0.700069 + 0.714075i \(0.253152\pi\)
\(594\) 2.29553 + 0.530209i 0.0941866 + 0.0217547i
\(595\) −13.4488 + 5.05467i −0.551346 + 0.207221i
\(596\) 2.97365 12.7237i 0.121805 0.521183i
\(597\) 2.20266 + 2.76205i 0.0901488 + 0.113043i
\(598\) −0.853007 + 3.69307i −0.0348821 + 0.151021i
\(599\) −11.8930 9.48433i −0.485934 0.387519i 0.349652 0.936880i \(-0.386300\pi\)
−0.835585 + 0.549360i \(0.814871\pi\)
\(600\) −6.74420 + 8.32322i −0.275331 + 0.339794i
\(601\) 29.3834 + 23.4325i 1.19857 + 0.955830i 0.999707 0.0241966i \(-0.00770277\pi\)
0.198866 + 0.980027i \(0.436274\pi\)
\(602\) −9.17900 + 1.22355i −0.374108 + 0.0498683i
\(603\) 2.97350 2.37129i 0.121090 0.0965664i
\(604\) −6.76873 + 5.34066i −0.275416 + 0.217308i
\(605\) −8.82952 2.01528i −0.358971 0.0819328i
\(606\) 20.2217 + 16.2122i 0.821449 + 0.658578i
\(607\) −47.5785 −1.93115 −0.965576 0.260122i \(-0.916237\pi\)
−0.965576 + 0.260122i \(0.916237\pi\)
\(608\) 24.0766 + 11.9819i 0.976434 + 0.485930i
\(609\) 14.0817 5.29255i 0.570620 0.214465i
\(610\) −2.09962 1.01784i −0.0850112 0.0412113i
\(611\) 12.7796 2.91687i 0.517009 0.118004i
\(612\) −7.67925 6.18946i −0.310415 0.250194i
\(613\) −11.4718 14.3851i −0.463340 0.581010i 0.494186 0.869356i \(-0.335466\pi\)
−0.957526 + 0.288346i \(0.906895\pi\)
\(614\) 35.2939 + 17.1096i 1.42435 + 0.690487i
\(615\) −1.09074 4.77886i −0.0439830 0.192702i
\(616\) −6.47217 + 10.6549i −0.260771 + 0.429298i
\(617\) 4.05051 17.7465i 0.163068 0.714446i −0.825591 0.564268i \(-0.809158\pi\)
0.988659 0.150177i \(-0.0479845\pi\)
\(618\) −2.29547 + 2.86316i −0.0923373 + 0.115173i
\(619\) −24.6790 −0.991931 −0.495966 0.868342i \(-0.665186\pi\)
−0.495966 + 0.868342i \(0.665186\pi\)
\(620\) −0.0105589 + 2.03479i −0.000424057 + 0.0817193i
\(621\) −0.306048 0.635515i −0.0122813 0.0255023i
\(622\) −16.0575 0.0416624i −0.643846 0.00167051i
\(623\) 1.56964 0.213378i 0.0628863 0.00854881i
\(624\) −14.7816 3.53560i −0.591739 0.141537i
\(625\) −1.84302 + 8.07479i −0.0737207 + 0.322992i
\(626\) 27.1592 6.12481i 1.08550 0.244797i
\(627\) −3.43633 7.13562i −0.137234 0.284969i
\(628\) 13.1213 + 10.5757i 0.523596 + 0.422018i
\(629\) 22.2106 46.1207i 0.885594 1.83895i
\(630\) 0.378028 4.10272i 0.0150610 0.163456i
\(631\) −16.2888 33.8241i −0.648448 1.34652i −0.922946 0.384928i \(-0.874226\pi\)
0.274498 0.961588i \(-0.411488\pi\)
\(632\) −21.7058 + 17.0351i −0.863408 + 0.677618i
\(633\) 14.9354 3.40891i 0.593630 0.135492i
\(634\) 12.6583 6.05552i 0.502726 0.240495i
\(635\) 8.24141 10.3344i 0.327050 0.410108i
\(636\) 3.98645 + 17.8933i 0.158073 + 0.709515i
\(637\) −4.72442 + 26.1746i −0.187188 + 1.03707i
\(638\) 10.4515 + 8.37926i 0.413780 + 0.331738i
\(639\) −2.02124 1.61188i −0.0799590 0.0637652i
\(640\) −5.60828 + 11.1243i −0.221687 + 0.439725i
\(641\) 0.789722 + 3.46000i 0.0311921 + 0.136662i 0.988126 0.153643i \(-0.0491005\pi\)
−0.956934 + 0.290305i \(0.906243\pi\)
\(642\) −4.49604 9.39842i −0.177444 0.370926i
\(643\) −26.1726 + 12.6041i −1.03215 + 0.497056i −0.871726 0.489993i \(-0.836999\pi\)
−0.160420 + 0.987049i \(0.551285\pi\)
\(644\) 3.70100 0.483571i 0.145840 0.0190554i
\(645\) 2.45533 + 1.18242i 0.0966785 + 0.0465579i
\(646\) −0.0860264 + 33.1562i −0.00338466 + 1.30451i
\(647\) 23.8971 11.5082i 0.939492 0.452435i 0.0995017 0.995037i \(-0.468275\pi\)
0.839990 + 0.542602i \(0.182561\pi\)
\(648\) 2.55780 1.20734i 0.100480 0.0474286i
\(649\) −19.8149 4.52261i −0.777802 0.177528i
\(650\) −19.8535 + 4.47727i −0.778718 + 0.175613i
\(651\) 1.34767 + 2.03953i 0.0528192 + 0.0799355i
\(652\) −33.7197 27.1780i −1.32057 1.06437i
\(653\) 14.5177 6.99134i 0.568120 0.273592i −0.127695 0.991814i \(-0.540758\pi\)
0.695815 + 0.718221i \(0.255043\pi\)
\(654\) −2.11909 2.67144i −0.0828630 0.104462i
\(655\) 5.95338i 0.232618i
\(656\) 7.55886 + 16.1220i 0.295124 + 0.629460i
\(657\) 11.7810 + 2.68893i 0.459619 + 0.104905i
\(658\) −7.08823 10.7879i −0.276328 0.420557i
\(659\) −32.9547 + 7.52169i −1.28373 + 0.293003i −0.809356 0.587319i \(-0.800184\pi\)
−0.474376 + 0.880322i \(0.657326\pi\)
\(660\) 3.31372 1.57467i 0.128986 0.0612940i
\(661\) 36.2416 28.9017i 1.40963 1.12415i 0.434978 0.900441i \(-0.356756\pi\)
0.974657 0.223705i \(-0.0718152\pi\)
\(662\) −0.0967208 + 37.2780i −0.00375916 + 1.44885i
\(663\) −4.16962 18.2683i −0.161935 0.709482i
\(664\) 10.7646 45.5265i 0.417749 1.76677i
\(665\) −11.5555 + 7.63559i −0.448104 + 0.296095i
\(666\) 9.12287 + 11.5008i 0.353504 + 0.445647i
\(667\) 4.01065i 0.155293i
\(668\) 2.02289 + 9.07979i 0.0782680 + 0.351308i
\(669\) 3.35634 14.7051i 0.129763 0.568531i
\(670\) 1.33288 5.77069i 0.0514938 0.222941i
\(671\) −1.55632 1.95157i −0.0600812 0.0753394i
\(672\) 1.82348 + 14.8551i 0.0703422 + 0.573049i
\(673\) 24.5616 30.7993i 0.946781 1.18723i −0.0354161 0.999373i \(-0.511276\pi\)
0.982197 0.187853i \(-0.0601529\pi\)
\(674\) −1.67422 2.11062i −0.0644887 0.0812981i
\(675\) 2.36146 2.96117i 0.0908925 0.113976i
\(676\) −1.78061 2.25674i −0.0684850 0.0867976i
\(677\) 11.1372 8.88165i 0.428039 0.341349i −0.385655 0.922643i \(-0.626025\pi\)
0.813694 + 0.581294i \(0.197453\pi\)
\(678\) −23.0222 + 11.0134i −0.884161 + 0.422967i
\(679\) −7.64708 + 12.8128i −0.293468 + 0.491711i
\(680\) −15.3588 0.119551i −0.588984 0.00458458i
\(681\) 12.5788 + 6.05764i 0.482022 + 0.232129i
\(682\) −0.949569 + 1.95878i −0.0363609 + 0.0750057i
\(683\) −12.1241 + 25.1759i −0.463914 + 0.963328i 0.529452 + 0.848340i \(0.322397\pi\)
−0.993367 + 0.114989i \(0.963317\pi\)
\(684\) −8.54507 4.16985i −0.326729 0.159438i
\(685\) 11.7920i 0.450549i
\(686\) 25.7762 4.64639i 0.984139 0.177400i
\(687\) 1.81677i 0.0693141i
\(688\) −9.62798 2.30290i −0.367063 0.0877974i
\(689\) −15.1111 + 31.3785i −0.575687 + 1.19543i
\(690\) −0.988417 0.479160i −0.0376284 0.0182413i
\(691\) 12.4401 + 5.99082i 0.473242 + 0.227901i 0.655274 0.755391i \(-0.272553\pi\)
−0.182032 + 0.983293i \(0.558267\pi\)
\(692\) −3.42130 + 2.69947i −0.130058 + 0.102618i
\(693\) 2.25887 3.78477i 0.0858073 0.143772i
\(694\) −9.39114 19.6310i −0.356483 0.745184i
\(695\) 18.4319 14.6989i 0.699161 0.557562i
\(696\) 16.0816 + 0.125178i 0.609573 + 0.00474485i
\(697\) −13.6874 + 17.1634i −0.518446 + 0.650111i
\(698\) −12.2415 + 9.71040i −0.463347 + 0.367544i
\(699\) 1.22045 1.53039i 0.0461615 0.0578847i
\(700\) 10.9618 + 16.7780i 0.414316 + 0.634148i
\(701\) 6.81689 + 8.54811i 0.257471 + 0.322858i 0.893720 0.448626i \(-0.148086\pi\)
−0.636249 + 0.771484i \(0.719515\pi\)
\(702\) 5.23567 + 1.20931i 0.197607 + 0.0456424i
\(703\) 10.9810 48.1110i 0.414157 1.81454i
\(704\) −10.5478 + 8.14625i −0.397536 + 0.307024i
\(705\) 3.79880i 0.143071i
\(706\) −38.5637 + 30.5901i −1.45136 + 1.15128i
\(707\) 40.4546 26.7313i 1.52145 1.00533i
\(708\) −22.0385 + 10.4727i −0.828259 + 0.393587i
\(709\) 0.256041 + 1.12179i 0.00961582 + 0.0421297i 0.979508 0.201404i \(-0.0645505\pi\)
−0.969892 + 0.243534i \(0.921693\pi\)
\(710\) −4.02589 0.0104455i −0.151089 0.000392013i
\(711\) 7.62703 6.08235i 0.286036 0.228106i
\(712\) 1.64801 + 0.389667i 0.0617617 + 0.0146034i
\(713\) 0.635391 0.145024i 0.0237956 0.00543118i
\(714\) −15.4212 + 10.1325i −0.577123 + 0.379200i
\(715\) 6.79537 + 1.55100i 0.254132 + 0.0580041i
\(716\) −35.7381 + 7.96210i −1.33560 + 0.297558i
\(717\) 16.9667i 0.633632i
\(718\) −0.379295 + 0.300871i −0.0141552 + 0.0112284i
\(719\) 18.7706 9.03945i 0.700026 0.337115i −0.0497914 0.998760i \(-0.515856\pi\)
0.749817 + 0.661645i \(0.230141\pi\)
\(720\) 1.95215 3.94834i 0.0727525 0.147146i
\(721\) 3.78485 + 5.72790i 0.140955 + 0.213318i
\(722\) 1.12046 + 4.96845i 0.0416993 + 0.184907i
\(723\) 0.848820 + 0.193738i 0.0315679 + 0.00720518i
\(724\) 10.5683 21.6570i 0.392767 0.804878i
\(725\) 19.4026 9.34378i 0.720593 0.347019i
\(726\) −11.6315 0.0301788i −0.431684 0.00112004i
\(727\) −36.2936 17.4781i −1.34605 0.648226i −0.384573 0.923095i \(-0.625651\pi\)
−0.961482 + 0.274869i \(0.911365\pi\)
\(728\) −14.7618 + 24.3018i −0.547109 + 0.900685i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 16.9753 8.12068i 0.628284 0.300560i
\(731\) −2.71587 11.8990i −0.100450 0.440101i
\(732\) −2.91809 0.681985i −0.107856 0.0252069i
\(733\) −34.6408 27.6251i −1.27949 1.02036i −0.998153 0.0607450i \(-0.980652\pi\)
−0.281332 0.959610i \(-0.590776\pi\)
\(734\) 17.4006 21.7039i 0.642267 0.801104i
\(735\) −7.09058 3.02273i −0.261540 0.111495i
\(736\) 3.87828 + 0.938286i 0.142955 + 0.0345857i
\(737\) 3.95038 4.95361i 0.145514 0.182469i
\(738\) −2.71674 5.67902i −0.100005 0.209048i
\(739\) 20.4028 4.65680i 0.750528 0.171303i 0.169888 0.985463i \(-0.445660\pi\)
0.580640 + 0.814160i \(0.302802\pi\)
\(740\) 22.2602 + 5.20243i 0.818302 + 0.191245i
\(741\) −7.83763 16.2750i −0.287923 0.597877i
\(742\) 34.1513 + 3.14673i 1.25374 + 0.115520i
\(743\) 6.46657 13.4280i 0.237236 0.492625i −0.748028 0.663667i \(-0.768999\pi\)
0.985264 + 0.171042i \(0.0547135\pi\)
\(744\) 0.561676 + 2.55228i 0.0205920 + 0.0935709i
\(745\) 3.12139 + 6.48164i 0.114359 + 0.237469i
\(746\) −5.85770 25.9747i −0.214465 0.951002i
\(747\) −3.68047 + 16.1252i −0.134661 + 0.589990i
\(748\) −14.7667 7.20590i −0.539924 0.263474i
\(749\) −19.3135 + 2.62550i −0.705702 + 0.0959337i
\(750\) 0.0355050 13.6843i 0.00129646 0.499679i
\(751\) 22.2933 + 46.2926i 0.813495 + 1.68924i 0.720375 + 0.693585i \(0.243970\pi\)
0.0931204 + 0.995655i \(0.470316\pi\)
\(752\) −2.93089 13.4846i −0.106878 0.491734i
\(753\) 25.7815 0.939532
\(754\) 23.8380 + 19.1115i 0.868127 + 0.696001i
\(755\) 1.05631 4.62800i 0.0384430 0.168430i
\(756\) −0.685558 5.24690i −0.0249335 0.190828i
\(757\) 10.3695 + 45.4317i 0.376885 + 1.65124i 0.706935 + 0.707279i \(0.250078\pi\)
−0.330049 + 0.943964i \(0.607065\pi\)
\(758\) 11.2588 23.2248i 0.408938 0.843563i
\(759\) −0.732654 0.918719i −0.0265937 0.0333474i
\(760\) −14.4606 + 3.18233i −0.524542 + 0.115435i
\(761\) 33.2041 7.57862i 1.20365 0.274725i 0.426761 0.904365i \(-0.359655\pi\)
0.776887 + 0.629640i \(0.216798\pi\)
\(762\) 7.40540 15.2760i 0.268269 0.553390i
\(763\) −5.97143 + 2.24434i −0.216180 + 0.0812505i
\(764\) −0.0742678 + 14.3120i −0.00268692 + 0.517790i
\(765\) 5.43033 0.196334
\(766\) −14.6104 + 18.2237i −0.527895 + 0.658448i
\(767\) −45.1940 10.3152i −1.63186 0.372461i
\(768\) −3.88332 + 15.5216i −0.140127 + 0.560087i
\(769\) −39.5015 + 31.5014i −1.42446 + 1.13597i −0.455068 + 0.890457i \(0.650385\pi\)
−0.969393 + 0.245513i \(0.921044\pi\)
\(770\) −0.906911 6.80357i −0.0326828 0.245184i
\(771\) −0.961988 0.767160i −0.0346451 0.0276286i