Properties

Label 588.2.x.a.55.19
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 55.19
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.652439 + 1.25472i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.14865 + 1.63726i) q^{4} +(-0.0842420 + 0.174930i) q^{5} +(-0.0434247 - 1.41355i) q^{6} +(2.61856 + 0.378316i) q^{7} +(-2.80372 - 0.373018i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(0.652439 + 1.25472i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.14865 + 1.63726i) q^{4} +(-0.0842420 + 0.174930i) q^{5} +(-0.0434247 - 1.41355i) q^{6} +(2.61856 + 0.378316i) q^{7} +(-2.80372 - 0.373018i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.274451 + 0.00843125i) q^{10} +(1.26765 + 1.01092i) q^{11} +(1.74527 - 0.976739i) q^{12} +(3.76001 + 2.99851i) q^{13} +(1.23377 + 3.53239i) q^{14} +(0.151799 - 0.121055i) q^{15} +(-1.36122 - 3.76126i) q^{16} +(1.09312 + 0.249496i) q^{17} +(-0.574191 + 1.29240i) q^{18} -6.56771 q^{19} +(-0.189642 - 0.338859i) q^{20} +(-2.19510 - 1.47700i) q^{21} +(-0.441355 + 2.25011i) q^{22} +(-5.93966 + 1.35569i) q^{23} +(2.36422 + 1.55257i) q^{24} +(3.09395 + 3.87968i) q^{25} +(-1.30911 + 6.67411i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-3.62720 + 3.85271i) q^{28} +(-2.33762 + 10.2418i) q^{29} +(0.250930 + 0.111484i) q^{30} +4.97538 q^{31} +(3.83121 - 4.16195i) q^{32} +(-0.703494 - 1.46082i) q^{33} +(0.400143 + 1.53434i) q^{34} +(-0.286772 + 0.426196i) q^{35} +(-1.99623 + 0.122766i) q^{36} +(-1.73582 + 7.60512i) q^{37} +(-4.28503 - 8.24063i) q^{38} +(-2.08665 - 4.33297i) q^{39} +(0.301443 - 0.459032i) q^{40} +(1.79187 - 3.72085i) q^{41} +(0.421057 - 3.71789i) q^{42} +(-1.62030 - 3.36458i) q^{43} +(-3.11122 + 0.914285i) q^{44} +(-0.189290 + 0.0432042i) q^{45} +(-5.57627 - 6.56810i) q^{46} +(0.502093 - 0.629604i) q^{47} +(-0.405528 + 3.97939i) q^{48} +(6.71375 + 1.98129i) q^{49} +(-2.84931 + 6.41329i) q^{50} +(-0.876611 - 0.699074i) q^{51} +(-9.22826 + 2.71188i) q^{52} +(-3.09964 - 13.5804i) q^{53} +(1.07808 - 0.915283i) q^{54} +(-0.283630 + 0.136589i) q^{55} +(-7.20061 - 2.03747i) q^{56} +(5.91730 + 2.84962i) q^{57} +(-14.3757 + 3.74908i) q^{58} +(11.7511 - 5.65905i) q^{59} +(0.0238359 + 0.387584i) q^{60} +(9.88689 + 2.25662i) q^{61} +(3.24613 + 6.24271i) q^{62} +(1.33687 + 2.28315i) q^{63} +(7.72171 + 2.09168i) q^{64} +(-0.841281 + 0.405140i) q^{65} +(1.37393 - 1.83578i) q^{66} +9.60101i q^{67} +(-1.66409 + 1.50313i) q^{68} +(5.93966 + 1.35569i) q^{69} +(-0.721858 - 0.0817516i) q^{70} +(-10.0370 + 2.29089i) q^{71} +(-1.45645 - 2.42461i) q^{72} +(2.14613 - 1.71148i) q^{73} +(-10.6748 + 2.78391i) q^{74} +(-1.10422 - 4.83789i) q^{75} +(7.54397 - 10.7530i) q^{76} +(2.93698 + 3.12673i) q^{77} +(4.07526 - 5.44517i) q^{78} -13.3933i q^{79} +(0.772630 + 0.0787365i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(5.83770 - 0.179337i) q^{82} +(-3.09776 - 3.88447i) q^{83} +(4.93963 - 1.89739i) q^{84} +(-0.135731 + 0.170201i) q^{85} +(3.16446 - 4.22821i) q^{86} +(6.54987 - 8.21328i) q^{87} +(-3.17705 - 3.30719i) q^{88} +(-1.41782 + 1.13068i) q^{89} +(-0.177709 - 0.209318i) q^{90} +(8.71145 + 9.27427i) q^{91} +(4.60295 - 11.2820i) q^{92} +(-4.48266 - 2.15874i) q^{93} +(1.11756 + 0.219207i) q^{94} +(0.553276 - 1.14889i) q^{95} +(-5.25760 + 2.08749i) q^{96} -16.9791i q^{97} +(1.89435 + 9.71655i) q^{98} +1.62139i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.652439 + 1.25472i 0.461344 + 0.887221i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −1.14865 + 1.63726i −0.574323 + 0.818629i
\(5\) −0.0842420 + 0.174930i −0.0376742 + 0.0782312i −0.918956 0.394359i \(-0.870967\pi\)
0.881282 + 0.472590i \(0.156681\pi\)
\(6\) −0.0434247 1.41355i −0.0177281 0.577078i
\(7\) 2.61856 + 0.378316i 0.989724 + 0.142990i
\(8\) −2.80372 0.373018i −0.991265 0.131882i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −0.274451 + 0.00843125i −0.0867891 + 0.00266620i
\(11\) 1.26765 + 1.01092i 0.382212 + 0.304804i 0.795683 0.605714i \(-0.207112\pi\)
−0.413471 + 0.910517i \(0.635684\pi\)
\(12\) 1.74527 0.976739i 0.503817 0.281960i
\(13\) 3.76001 + 2.99851i 1.04284 + 0.831637i 0.986000 0.166746i \(-0.0533259\pi\)
0.0568405 + 0.998383i \(0.481897\pi\)
\(14\) 1.23377 + 3.53239i 0.329740 + 0.944072i
\(15\) 0.151799 0.121055i 0.0391943 0.0312564i
\(16\) −1.36122 3.76126i −0.340306 0.940315i
\(17\) 1.09312 + 0.249496i 0.265119 + 0.0605118i 0.353014 0.935618i \(-0.385157\pi\)
−0.0878947 + 0.996130i \(0.528014\pi\)
\(18\) −0.574191 + 1.29240i −0.135338 + 0.304622i
\(19\) −6.56771 −1.50673 −0.753367 0.657600i \(-0.771572\pi\)
−0.753367 + 0.657600i \(0.771572\pi\)
\(20\) −0.189642 0.338859i −0.0424052 0.0757711i
\(21\) −2.19510 1.47700i −0.479010 0.322309i
\(22\) −0.441355 + 2.25011i −0.0940971 + 0.479726i
\(23\) −5.93966 + 1.35569i −1.23850 + 0.282680i −0.791120 0.611662i \(-0.790501\pi\)
−0.447384 + 0.894342i \(0.647644\pi\)
\(24\) 2.36422 + 1.55257i 0.482594 + 0.316917i
\(25\) 3.09395 + 3.87968i 0.618789 + 0.775937i
\(26\) −1.30911 + 6.67411i −0.256738 + 1.30890i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) −3.62720 + 3.85271i −0.685477 + 0.728094i
\(29\) −2.33762 + 10.2418i −0.434085 + 1.90185i −0.00204587 + 0.999998i \(0.500651\pi\)
−0.432040 + 0.901855i \(0.642206\pi\)
\(30\) 0.250930 + 0.111484i 0.0458134 + 0.0203540i
\(31\) 4.97538 0.893605 0.446803 0.894633i \(-0.352563\pi\)
0.446803 + 0.894633i \(0.352563\pi\)
\(32\) 3.83121 4.16195i 0.677269 0.735736i
\(33\) −0.703494 1.46082i −0.122463 0.254296i
\(34\) 0.400143 + 1.53434i 0.0686240 + 0.263136i
\(35\) −0.286772 + 0.426196i −0.0484733 + 0.0720403i
\(36\) −1.99623 + 0.122766i −0.332705 + 0.0204610i
\(37\) −1.73582 + 7.60512i −0.285367 + 1.25027i 0.605439 + 0.795891i \(0.292997\pi\)
−0.890806 + 0.454383i \(0.849860\pi\)
\(38\) −4.28503 8.24063i −0.695123 1.33681i
\(39\) −2.08665 4.33297i −0.334132 0.693831i
\(40\) 0.301443 0.459032i 0.0476624 0.0725793i
\(41\) 1.79187 3.72085i 0.279842 0.581099i −0.712913 0.701253i \(-0.752625\pi\)
0.992755 + 0.120154i \(0.0383388\pi\)
\(42\) 0.421057 3.71789i 0.0649706 0.573683i
\(43\) −1.62030 3.36458i −0.247093 0.513094i 0.740125 0.672469i \(-0.234766\pi\)
−0.987218 + 0.159375i \(0.949052\pi\)
\(44\) −3.11122 + 0.914285i −0.469034 + 0.137834i
\(45\) −0.189290 + 0.0432042i −0.0282177 + 0.00644050i
\(46\) −5.57627 6.56810i −0.822177 0.968414i
\(47\) 0.502093 0.629604i 0.0732378 0.0918372i −0.743863 0.668332i \(-0.767009\pi\)
0.817101 + 0.576495i \(0.195580\pi\)
\(48\) −0.405528 + 3.97939i −0.0585330 + 0.574376i
\(49\) 6.71375 + 1.98129i 0.959108 + 0.283041i
\(50\) −2.84931 + 6.41329i −0.402953 + 0.906977i
\(51\) −0.876611 0.699074i −0.122750 0.0978899i
\(52\) −9.22826 + 2.71188i −1.27973 + 0.376071i
\(53\) −3.09964 13.5804i −0.425769 1.86542i −0.496681 0.867933i \(-0.665448\pi\)
0.0709122 0.997483i \(-0.477409\pi\)
\(54\) 1.07808 0.915283i 0.146708 0.124554i
\(55\) −0.283630 + 0.136589i −0.0382446 + 0.0184176i
\(56\) −7.20061 2.03747i −0.962221 0.272268i
\(57\) 5.91730 + 2.84962i 0.783765 + 0.377441i
\(58\) −14.3757 + 3.74908i −1.88763 + 0.492279i
\(59\) 11.7511 5.65905i 1.52987 0.736745i 0.535681 0.844420i \(-0.320055\pi\)
0.994186 + 0.107675i \(0.0343406\pi\)
\(60\) 0.0238359 + 0.387584i 0.00307721 + 0.0500368i
\(61\) 9.88689 + 2.25662i 1.26589 + 0.288930i 0.802193 0.597065i \(-0.203667\pi\)
0.463694 + 0.885995i \(0.346524\pi\)
\(62\) 3.24613 + 6.24271i 0.412260 + 0.792825i
\(63\) 1.33687 + 2.28315i 0.168430 + 0.287650i
\(64\) 7.72171 + 2.09168i 0.965214 + 0.261460i
\(65\) −0.841281 + 0.405140i −0.104348 + 0.0502514i
\(66\) 1.37393 1.83578i 0.169120 0.225970i
\(67\) 9.60101i 1.17295i 0.809967 + 0.586475i \(0.199485\pi\)
−0.809967 + 0.586475i \(0.800515\pi\)
\(68\) −1.66409 + 1.50313i −0.201801 + 0.182281i
\(69\) 5.93966 + 1.35569i 0.715050 + 0.163206i
\(70\) −0.721858 0.0817516i −0.0862785 0.00977119i
\(71\) −10.0370 + 2.29089i −1.19118 + 0.271878i −0.771759 0.635915i \(-0.780623\pi\)
−0.419417 + 0.907794i \(0.637766\pi\)
\(72\) −1.45645 2.42461i −0.171645 0.285743i
\(73\) 2.14613 1.71148i 0.251186 0.200314i −0.489800 0.871835i \(-0.662930\pi\)
0.740986 + 0.671521i \(0.234359\pi\)
\(74\) −10.6748 + 2.78391i −1.24092 + 0.323623i
\(75\) −1.10422 4.83789i −0.127504 0.558631i
\(76\) 7.54397 10.7530i 0.865353 1.23346i
\(77\) 2.93698 + 3.12673i 0.334700 + 0.356324i
\(78\) 4.07526 5.44517i 0.461432 0.616544i
\(79\) 13.3933i 1.50687i −0.657524 0.753434i \(-0.728396\pi\)
0.657524 0.753434i \(-0.271604\pi\)
\(80\) 0.772630 + 0.0787365i 0.0863827 + 0.00880301i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) 5.83770 0.179337i 0.644667 0.0198044i
\(83\) −3.09776 3.88447i −0.340024 0.426376i 0.582192 0.813051i \(-0.302195\pi\)
−0.922216 + 0.386675i \(0.873624\pi\)
\(84\) 4.93963 1.89739i 0.538958 0.207022i
\(85\) −0.135731 + 0.170201i −0.0147221 + 0.0184609i
\(86\) 3.16446 4.22821i 0.341233 0.455939i
\(87\) 6.54987 8.21328i 0.702220 0.880556i
\(88\) −3.17705 3.30719i −0.338675 0.352548i
\(89\) −1.41782 + 1.13068i −0.150289 + 0.119851i −0.695748 0.718286i \(-0.744927\pi\)
0.545459 + 0.838138i \(0.316355\pi\)
\(90\) −0.177709 0.209318i −0.0187322 0.0220640i
\(91\) 8.71145 + 9.27427i 0.913208 + 0.972208i
\(92\) 4.60295 11.2820i 0.479891 1.17622i
\(93\) −4.48266 2.15874i −0.464831 0.223851i
\(94\) 1.11756 + 0.219207i 0.115268 + 0.0226095i
\(95\) 0.553276 1.14889i 0.0567650 0.117874i
\(96\) −5.25760 + 2.08749i −0.536602 + 0.213053i
\(97\) 16.9791i 1.72397i −0.506933 0.861985i \(-0.669221\pi\)
0.506933 0.861985i \(-0.330779\pi\)
\(98\) 1.89435 + 9.71655i 0.191358 + 0.981520i
\(99\) 1.62139i 0.162956i
\(100\) −9.90589 + 0.609201i −0.990589 + 0.0609201i
\(101\) −3.12183 + 6.48255i −0.310634 + 0.645038i −0.996582 0.0826127i \(-0.973674\pi\)
0.685948 + 0.727651i \(0.259388\pi\)
\(102\) 0.305207 1.55600i 0.0302200 0.154067i
\(103\) 12.5895 + 6.06280i 1.24048 + 0.597386i 0.934945 0.354794i \(-0.115449\pi\)
0.305540 + 0.952179i \(0.401163\pi\)
\(104\) −9.42354 9.80955i −0.924054 0.961905i
\(105\) 0.443292 0.259564i 0.0432609 0.0253308i
\(106\) 15.0173 12.7496i 1.45861 1.23835i
\(107\) −3.78731 + 3.02028i −0.366133 + 0.291981i −0.789223 0.614106i \(-0.789517\pi\)
0.423091 + 0.906087i \(0.360945\pi\)
\(108\) 1.85181 + 0.755523i 0.178190 + 0.0727002i
\(109\) 7.69923 9.65453i 0.737453 0.924736i −0.261731 0.965141i \(-0.584293\pi\)
0.999183 + 0.0404046i \(0.0128647\pi\)
\(110\) −0.356432 0.266760i −0.0339845 0.0254346i
\(111\) 4.86366 6.09883i 0.461638 0.578876i
\(112\) −2.14151 10.3641i −0.202353 0.979313i
\(113\) −0.602171 0.755098i −0.0566474 0.0710336i 0.752701 0.658363i \(-0.228751\pi\)
−0.809348 + 0.587329i \(0.800179\pi\)
\(114\) 0.285201 + 9.28376i 0.0267115 + 0.869504i
\(115\) 0.263217 1.15323i 0.0245452 0.107539i
\(116\) −14.0833 15.5915i −1.30761 1.44763i
\(117\) 4.80924i 0.444614i
\(118\) 14.7674 + 11.0522i 1.35945 + 1.01744i
\(119\) 2.76800 + 1.06687i 0.253743 + 0.0977994i
\(120\) −0.470757 + 0.282782i −0.0429741 + 0.0258144i
\(121\) −1.86274 8.16122i −0.169340 0.741929i
\(122\) 3.61917 + 13.8776i 0.327664 + 1.25642i
\(123\) −3.22883 + 2.57491i −0.291134 + 0.232171i
\(124\) −5.71495 + 8.14598i −0.513218 + 0.731531i
\(125\) −1.88576 + 0.430413i −0.168668 + 0.0384973i
\(126\) −1.99249 + 3.16701i −0.177505 + 0.282140i
\(127\) 15.9501 + 3.64051i 1.41535 + 0.323043i 0.860729 0.509063i \(-0.170008\pi\)
0.554616 + 0.832106i \(0.312865\pi\)
\(128\) 2.41348 + 11.0533i 0.213323 + 0.976982i
\(129\) 3.73440i 0.328796i
\(130\) −1.05722 0.791244i −0.0927245 0.0693967i
\(131\) −2.85813 + 1.37640i −0.249716 + 0.120257i −0.554555 0.832147i \(-0.687112\pi\)
0.304839 + 0.952404i \(0.401397\pi\)
\(132\) 3.19981 + 0.526165i 0.278507 + 0.0457968i
\(133\) −17.1980 2.48467i −1.49125 0.215448i
\(134\) −12.0466 + 6.26407i −1.04067 + 0.541134i
\(135\) 0.189290 + 0.0432042i 0.0162915 + 0.00371843i
\(136\) −2.97173 1.10727i −0.254823 0.0949477i
\(137\) 11.7179 5.64305i 1.00113 0.482119i 0.139808 0.990179i \(-0.455352\pi\)
0.861322 + 0.508060i \(0.169637\pi\)
\(138\) 2.17426 + 8.33711i 0.185085 + 0.709702i
\(139\) −7.62414 3.67159i −0.646671 0.311420i 0.0816454 0.996661i \(-0.473983\pi\)
−0.728316 + 0.685241i \(0.759697\pi\)
\(140\) −0.368393 0.959068i −0.0311349 0.0810560i
\(141\) −0.725545 + 0.349404i −0.0611019 + 0.0294251i
\(142\) −9.42297 11.0990i −0.790758 0.931407i
\(143\) 1.73514 + 7.60214i 0.145100 + 0.635723i
\(144\) 2.09196 3.40935i 0.174330 0.284113i
\(145\) −1.59467 1.27171i −0.132430 0.105610i
\(146\) 3.54766 + 1.57616i 0.293606 + 0.130444i
\(147\) −5.18923 4.69807i −0.428001 0.387490i
\(148\) −10.4577 11.5776i −0.859618 0.951671i
\(149\) −5.26130 + 6.59746i −0.431022 + 0.540485i −0.949152 0.314817i \(-0.898057\pi\)
0.518130 + 0.855302i \(0.326628\pi\)
\(150\) 5.34976 4.54191i 0.436806 0.370845i
\(151\) 2.77193 0.632674i 0.225576 0.0514863i −0.108239 0.994125i \(-0.534521\pi\)
0.333815 + 0.942639i \(0.391664\pi\)
\(152\) 18.4140 + 2.44988i 1.49357 + 0.198711i
\(153\) 0.486482 + 1.01019i 0.0393298 + 0.0816691i
\(154\) −2.00697 + 5.72509i −0.161726 + 0.461341i
\(155\) −0.419136 + 0.870345i −0.0336658 + 0.0699078i
\(156\) 9.49102 + 1.56067i 0.759890 + 0.124954i
\(157\) −3.64906 7.57735i −0.291227 0.604738i 0.703102 0.711089i \(-0.251798\pi\)
−0.994329 + 0.106351i \(0.966083\pi\)
\(158\) 16.8049 8.73834i 1.33693 0.695185i
\(159\) −3.09964 + 13.5804i −0.245818 + 1.07700i
\(160\) 0.405302 + 1.02081i 0.0320419 + 0.0807018i
\(161\) −16.0662 + 1.30289i −1.26620 + 0.102682i
\(162\) −1.36844 + 0.356880i −0.107515 + 0.0280391i
\(163\) 5.89332 + 12.2376i 0.461601 + 0.958523i 0.993724 + 0.111857i \(0.0356798\pi\)
−0.532124 + 0.846667i \(0.678606\pi\)
\(164\) 4.03376 + 7.20768i 0.314984 + 0.562825i
\(165\) 0.314805 0.0245076
\(166\) 2.85282 6.42121i 0.221422 0.498383i
\(167\) 4.72036 20.6812i 0.365272 1.60036i −0.374315 0.927302i \(-0.622122\pi\)
0.739587 0.673061i \(-0.235021\pi\)
\(168\) 5.60350 + 4.95992i 0.432319 + 0.382666i
\(169\) 2.25387 + 9.87483i 0.173374 + 0.759602i
\(170\) −0.302111 0.0592583i −0.0231708 0.00454490i
\(171\) −4.09490 5.13484i −0.313145 0.392671i
\(172\) 7.36984 + 1.21187i 0.561945 + 0.0924042i
\(173\) −15.6096 + 3.56278i −1.18677 + 0.270873i −0.769944 0.638112i \(-0.779716\pi\)
−0.416829 + 0.908985i \(0.636859\pi\)
\(174\) 14.5788 + 2.85959i 1.10521 + 0.216785i
\(175\) 6.63395 + 11.3297i 0.501479 + 0.856444i
\(176\) 2.07677 6.14406i 0.156542 0.463126i
\(177\) −13.0428 −0.980355
\(178\) −2.34372 1.04127i −0.175669 0.0780467i
\(179\) −12.6591 2.88935i −0.946182 0.215960i −0.278525 0.960429i \(-0.589846\pi\)
−0.667657 + 0.744469i \(0.732703\pi\)
\(180\) 0.146691 0.359543i 0.0109337 0.0267987i
\(181\) 2.76784 2.20728i 0.205732 0.164066i −0.515204 0.857068i \(-0.672284\pi\)
0.720936 + 0.693002i \(0.243712\pi\)
\(182\) −5.95292 + 16.9813i −0.441260 + 1.25874i
\(183\) −7.92867 6.32290i −0.586104 0.467402i
\(184\) 17.1588 1.58537i 1.26497 0.116875i
\(185\) −1.18414 0.944318i −0.0870595 0.0694276i
\(186\) −0.216055 7.03294i −0.0158419 0.515680i
\(187\) 1.13347 + 1.42133i 0.0828875 + 0.103938i
\(188\) 0.454098 + 1.54525i 0.0331185 + 0.112699i
\(189\) −0.213854 2.63709i −0.0155556 0.191820i
\(190\) 1.80252 0.0553740i 0.130768 0.00401725i
\(191\) 2.84880 5.91559i 0.206132 0.428037i −0.772115 0.635483i \(-0.780801\pi\)
0.978246 + 0.207446i \(0.0665152\pi\)
\(192\) −6.04948 5.23487i −0.436583 0.377794i
\(193\) −5.13759 2.47413i −0.369812 0.178092i 0.239742 0.970837i \(-0.422937\pi\)
−0.609554 + 0.792745i \(0.708651\pi\)
\(194\) 21.3041 11.0779i 1.52954 0.795344i
\(195\) 0.933752 0.0668674
\(196\) −10.9556 + 8.71634i −0.782544 + 0.622596i
\(197\) 16.7730 1.19503 0.597514 0.801859i \(-0.296155\pi\)
0.597514 + 0.801859i \(0.296155\pi\)
\(198\) −2.03439 + 1.05786i −0.144578 + 0.0751787i
\(199\) 8.51555 + 4.10087i 0.603651 + 0.290703i 0.710639 0.703557i \(-0.248406\pi\)
−0.106987 + 0.994260i \(0.534120\pi\)
\(200\) −7.22737 12.0317i −0.511052 0.850767i
\(201\) 4.16572 8.65021i 0.293827 0.610139i
\(202\) −10.1706 + 0.312445i −0.715601 + 0.0219835i
\(203\) −9.99585 + 25.9344i −0.701571 + 1.82024i
\(204\) 2.15148 0.632249i 0.150634 0.0442663i
\(205\) 0.499938 + 0.626903i 0.0349172 + 0.0437848i
\(206\) 0.606788 + 19.7520i 0.0422769 + 1.37618i
\(207\) −4.76323 3.79855i −0.331068 0.264018i
\(208\) 6.15995 18.2240i 0.427116 1.26361i
\(209\) −8.32557 6.63942i −0.575892 0.459258i
\(210\) 0.614901 + 0.386858i 0.0424322 + 0.0266957i
\(211\) −9.35137 + 7.45747i −0.643775 + 0.513393i −0.890083 0.455798i \(-0.849354\pi\)
0.246308 + 0.969192i \(0.420782\pi\)
\(212\) 25.7951 + 10.5242i 1.77161 + 0.722804i
\(213\) 10.0370 + 2.29089i 0.687726 + 0.156969i
\(214\) −6.26059 2.78146i −0.427965 0.190137i
\(215\) 0.725064 0.0494490
\(216\) 0.260221 + 2.81643i 0.0177058 + 0.191634i
\(217\) 13.0284 + 1.88227i 0.884422 + 0.127777i
\(218\) 17.1370 + 3.36139i 1.16067 + 0.227662i
\(219\) −2.67619 + 0.610822i −0.180840 + 0.0412755i
\(220\) 0.102159 0.621267i 0.00688756 0.0418858i
\(221\) 3.36201 + 4.21583i 0.226153 + 0.283587i
\(222\) 10.8256 + 2.12341i 0.726565 + 0.142514i
\(223\) 0.649689 + 2.84647i 0.0435064 + 0.190614i 0.992011 0.126148i \(-0.0402615\pi\)
−0.948505 + 0.316762i \(0.897404\pi\)
\(224\) 11.6068 9.44892i 0.775512 0.631332i
\(225\) −1.10422 + 4.83789i −0.0736144 + 0.322526i
\(226\) 0.554557 1.24821i 0.0368886 0.0830298i
\(227\) 11.5849 0.768918 0.384459 0.923142i \(-0.374388\pi\)
0.384459 + 0.923142i \(0.374388\pi\)
\(228\) −11.4624 + 6.41494i −0.759119 + 0.424839i
\(229\) −2.59462 5.38779i −0.171458 0.356035i 0.797478 0.603348i \(-0.206167\pi\)
−0.968936 + 0.247312i \(0.920453\pi\)
\(230\) 1.61872 0.422149i 0.106735 0.0278357i
\(231\) −1.28949 4.09140i −0.0848424 0.269194i
\(232\) 10.3744 27.8432i 0.681114 1.82799i
\(233\) 1.67477 7.33765i 0.109718 0.480706i −0.889977 0.456005i \(-0.849280\pi\)
0.999695 0.0247002i \(-0.00786311\pi\)
\(234\) −6.03425 + 3.13774i −0.394471 + 0.205120i
\(235\) 0.0678396 + 0.140870i 0.00442537 + 0.00918937i
\(236\) −4.23258 + 25.7399i −0.275517 + 1.67552i
\(237\) −5.81115 + 12.0670i −0.377475 + 0.783834i
\(238\) 0.467336 + 4.16914i 0.0302929 + 0.270245i
\(239\) −1.93460 4.01723i −0.125139 0.259853i 0.828982 0.559275i \(-0.188920\pi\)
−0.954121 + 0.299422i \(0.903206\pi\)
\(240\) −0.661953 0.406171i −0.0427289 0.0262182i
\(241\) −11.9723 + 2.73261i −0.771206 + 0.176023i −0.589979 0.807419i \(-0.700864\pi\)
−0.181227 + 0.983441i \(0.558007\pi\)
\(242\) 9.02472 7.66192i 0.580131 0.492527i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) −15.0512 + 13.5953i −0.963555 + 0.870352i
\(245\) −0.912167 + 1.00753i −0.0582762 + 0.0643688i
\(246\) −5.33740 2.37131i −0.340300 0.151189i
\(247\) −24.6947 19.6933i −1.57128 1.25306i
\(248\) −13.9496 1.85591i −0.885800 0.117850i
\(249\) 1.10558 + 4.84386i 0.0700632 + 0.306967i
\(250\) −1.77039 2.08529i −0.111970 0.131885i
\(251\) 0.110904 0.0534085i 0.00700019 0.00337111i −0.430380 0.902648i \(-0.641621\pi\)
0.437381 + 0.899277i \(0.355906\pi\)
\(252\) −5.27370 0.433736i −0.332212 0.0273228i
\(253\) −8.89991 4.28597i −0.559533 0.269457i
\(254\) 5.83867 + 22.3882i 0.366350 + 1.40476i
\(255\) 0.196137 0.0944544i 0.0122825 0.00591496i
\(256\) −12.2941 + 10.2398i −0.768384 + 0.639990i
\(257\) −5.41363 1.23563i −0.337693 0.0770762i 0.0503118 0.998734i \(-0.483978\pi\)
−0.388005 + 0.921657i \(0.626836\pi\)
\(258\) −4.68563 + 2.43647i −0.291715 + 0.151688i
\(259\) −7.42250 + 19.2578i −0.461211 + 1.19662i
\(260\) 0.303016 1.84276i 0.0187923 0.114283i
\(261\) −9.46484 + 4.55803i −0.585859 + 0.282135i
\(262\) −3.59175 2.68813i −0.221899 0.166073i
\(263\) 8.95783i 0.552363i 0.961105 + 0.276182i \(0.0890691\pi\)
−0.961105 + 0.276182i \(0.910931\pi\)
\(264\) 1.42749 + 4.35815i 0.0878559 + 0.268226i
\(265\) 2.63675 + 0.601821i 0.161974 + 0.0369695i
\(266\) −8.10306 23.1997i −0.496830 1.42247i
\(267\) 1.76799 0.403533i 0.108200 0.0246958i
\(268\) −15.7193 11.0282i −0.960211 0.673652i
\(269\) 12.2504 9.76934i 0.746918 0.595647i −0.174301 0.984692i \(-0.555766\pi\)
0.921219 + 0.389045i \(0.127195\pi\)
\(270\) 0.0692910 + 0.265694i 0.00421692 + 0.0161696i
\(271\) −3.68350 16.1385i −0.223757 0.980341i −0.954622 0.297820i \(-0.903741\pi\)
0.730866 0.682521i \(-0.239117\pi\)
\(272\) −0.549555 4.45111i −0.0333216 0.269888i
\(273\) −3.82479 12.1356i −0.231487 0.734479i
\(274\) 14.7257 + 11.0210i 0.889611 + 0.665801i
\(275\) 8.04582i 0.485181i
\(276\) −9.04217 + 8.16754i −0.544275 + 0.491628i
\(277\) 0.168400 0.737810i 0.0101182 0.0443307i −0.969617 0.244629i \(-0.921334\pi\)
0.979735 + 0.200298i \(0.0641911\pi\)
\(278\) −0.367467 11.9616i −0.0220392 0.717412i
\(279\) 3.10210 + 3.88991i 0.185718 + 0.232883i
\(280\) 0.963008 1.08796i 0.0575507 0.0650183i
\(281\) −6.64513 + 8.33272i −0.396415 + 0.497089i −0.939481 0.342601i \(-0.888692\pi\)
0.543066 + 0.839690i \(0.317263\pi\)
\(282\) −0.911778 0.682391i −0.0542956 0.0406358i
\(283\) −4.43929 + 5.56669i −0.263888 + 0.330906i −0.896068 0.443916i \(-0.853589\pi\)
0.632180 + 0.774822i \(0.282160\pi\)
\(284\) 7.77822 19.0646i 0.461553 1.13128i
\(285\) −0.996970 + 0.795057i −0.0590554 + 0.0470951i
\(286\) −8.40649 + 7.13705i −0.497086 + 0.422023i
\(287\) 6.09977 9.06538i 0.360058 0.535113i
\(288\) 5.64266 + 0.400429i 0.332497 + 0.0235955i
\(289\) −14.1838 6.83057i −0.834342 0.401798i
\(290\) 0.555212 2.83058i 0.0326032 0.166217i
\(291\) −7.36697 + 15.2977i −0.431860 + 0.896766i
\(292\) 0.336993 + 5.47966i 0.0197210 + 0.320673i
\(293\) 3.51162i 0.205151i −0.994725 0.102576i \(-0.967292\pi\)
0.994725 0.102576i \(-0.0327083\pi\)
\(294\) 2.50910 9.57624i 0.146334 0.558498i
\(295\) 2.53236i 0.147440i
\(296\) 7.70361 20.6752i 0.447763 1.20172i
\(297\) 0.703494 1.46082i 0.0408209 0.0847654i
\(298\) −11.7106 2.29702i −0.678379 0.133063i
\(299\) −26.3982 12.7127i −1.52665 0.735196i
\(300\) 9.18922 + 3.74913i 0.530540 + 0.216456i
\(301\) −2.96998 9.42336i −0.171187 0.543153i
\(302\) 2.60234 + 3.06521i 0.149748 + 0.176383i
\(303\) 5.62535 4.48607i 0.323168 0.257718i
\(304\) 8.94012 + 24.7028i 0.512751 + 1.41681i
\(305\) −1.22764 + 1.53941i −0.0702946 + 0.0881466i
\(306\) −0.950107 + 1.26949i −0.0543140 + 0.0725717i
\(307\) 5.61522 7.04126i 0.320478 0.401866i −0.595331 0.803480i \(-0.702979\pi\)
0.915809 + 0.401614i \(0.131551\pi\)
\(308\) −8.49282 + 1.21709i −0.483923 + 0.0693501i
\(309\) −8.71223 10.9248i −0.495622 0.621490i
\(310\) −1.36550 + 0.0419487i −0.0775552 + 0.00238253i
\(311\) 3.93664 17.2476i 0.223227 0.978020i −0.731805 0.681515i \(-0.761322\pi\)
0.955031 0.296505i \(-0.0958212\pi\)
\(312\) 4.23411 + 12.9268i 0.239709 + 0.731837i
\(313\) 21.7956i 1.23196i 0.787761 + 0.615981i \(0.211240\pi\)
−0.787761 + 0.615981i \(0.788760\pi\)
\(314\) 7.12666 9.52231i 0.402181 0.537375i
\(315\) −0.512013 + 0.0415215i −0.0288486 + 0.00233947i
\(316\) 21.9283 + 15.3842i 1.23357 + 0.865429i
\(317\) 0.613582 + 2.68828i 0.0344622 + 0.150989i 0.989232 0.146358i \(-0.0467553\pi\)
−0.954769 + 0.297347i \(0.903898\pi\)
\(318\) −19.0620 + 4.97122i −1.06894 + 0.278772i
\(319\) −13.3169 + 10.6199i −0.745604 + 0.594599i
\(320\) −1.01639 + 1.17455i −0.0568180 + 0.0656596i
\(321\) 4.72270 1.07792i 0.263595 0.0601639i
\(322\) −12.1170 19.3086i −0.675254 1.07603i
\(323\) −7.17926 1.63862i −0.399465 0.0911752i
\(324\) −1.34061 1.48417i −0.0744783 0.0824540i
\(325\) 23.8649i 1.32379i
\(326\) −11.5097 + 15.3788i −0.637466 + 0.851751i
\(327\) −11.1257 + 5.35786i −0.615253 + 0.296290i
\(328\) −6.41184 + 9.76382i −0.354034 + 0.539117i
\(329\) 1.55295 1.45871i 0.0856170 0.0804213i
\(330\) 0.205391 + 0.394993i 0.0113064 + 0.0217436i
\(331\) −18.5599 4.23618i −1.02014 0.232841i −0.320436 0.947270i \(-0.603830\pi\)
−0.699708 + 0.714429i \(0.746687\pi\)
\(332\) 9.91812 0.609953i 0.544327 0.0334755i
\(333\) −7.02819 + 3.38460i −0.385142 + 0.185475i
\(334\) 29.0289 7.57052i 1.58839 0.414241i
\(335\) −1.67951 0.808808i −0.0917613 0.0441899i
\(336\) −2.56737 + 10.2669i −0.140061 + 0.560104i
\(337\) 13.4093 6.45757i 0.730450 0.351766i −0.0314109 0.999507i \(-0.510000\pi\)
0.761861 + 0.647740i \(0.224286\pi\)
\(338\) −10.9196 + 9.27070i −0.593950 + 0.504260i
\(339\) 0.214912 + 0.941592i 0.0116724 + 0.0511402i
\(340\) −0.122756 0.417727i −0.00665739 0.0226544i
\(341\) 6.30706 + 5.02971i 0.341546 + 0.272374i
\(342\) 3.77111 8.48812i 0.203919 0.458985i
\(343\) 16.8308 + 7.72806i 0.908780 + 0.417276i
\(344\) 3.28781 + 10.0378i 0.177267 + 0.541199i
\(345\) −0.737519 + 0.924819i −0.0397067 + 0.0497906i
\(346\) −14.6546 17.2611i −0.787835 0.927965i
\(347\) 3.49523 0.797764i 0.187634 0.0428262i −0.127671 0.991817i \(-0.540750\pi\)
0.315305 + 0.948990i \(0.397893\pi\)
\(348\) 5.92377 + 20.1580i 0.317547 + 1.08058i
\(349\) −12.5764 26.1151i −0.673197 1.39791i −0.905113 0.425172i \(-0.860214\pi\)
0.231916 0.972736i \(-0.425501\pi\)
\(350\) −9.88735 + 15.7157i −0.528501 + 0.840038i
\(351\) 2.08665 4.33297i 0.111377 0.231277i
\(352\) 9.06404 1.40286i 0.483115 0.0747727i
\(353\) −0.281598 0.584744i −0.0149879 0.0311228i 0.893341 0.449380i \(-0.148355\pi\)
−0.908328 + 0.418258i \(0.862641\pi\)
\(354\) −8.50962 16.3650i −0.452281 0.869792i
\(355\) 0.444794 1.94877i 0.0236072 0.103430i
\(356\) −0.222631 3.62008i −0.0117994 0.191864i
\(357\) −2.03099 2.16221i −0.107491 0.114436i
\(358\) −4.63394 17.7687i −0.244911 0.939105i
\(359\) 4.59151 + 9.53437i 0.242331 + 0.503205i 0.986290 0.165020i \(-0.0527688\pi\)
−0.743960 + 0.668225i \(0.767055\pi\)
\(360\) 0.546832 0.0505239i 0.0288206 0.00266284i
\(361\) 24.1348 1.27025
\(362\) 4.57536 + 2.03275i 0.240476 + 0.106839i
\(363\) −1.86274 + 8.16122i −0.0977687 + 0.428353i
\(364\) −25.1907 + 3.61004i −1.32035 + 0.189217i
\(365\) 0.118596 + 0.519603i 0.00620759 + 0.0271972i
\(366\) 2.76050 14.0736i 0.144294 0.735638i
\(367\) 15.0997 + 18.9345i 0.788200 + 0.988372i 0.999939 + 0.0110456i \(0.00351601\pi\)
−0.211739 + 0.977326i \(0.567913\pi\)
\(368\) 13.1843 + 20.4952i 0.687279 + 1.06839i
\(369\) 4.02628 0.918973i 0.209600 0.0478398i
\(370\) 0.412277 2.10187i 0.0214333 0.109271i
\(371\) −2.97892 36.7339i −0.154658 1.90713i
\(372\) 8.68340 4.85965i 0.450214 0.251961i
\(373\) 16.9203 0.876100 0.438050 0.898951i \(-0.355669\pi\)
0.438050 + 0.898951i \(0.355669\pi\)
\(374\) −1.04385 + 2.34952i −0.0539760 + 0.121491i
\(375\) 1.88576 + 0.430413i 0.0973804 + 0.0222264i
\(376\) −1.64258 + 1.57795i −0.0847097 + 0.0813763i
\(377\) −39.4996 + 31.4999i −2.03433 + 1.62233i
\(378\) 3.16929 1.98887i 0.163011 0.102296i
\(379\) 3.50687 + 2.79664i 0.180136 + 0.143654i 0.709407 0.704799i \(-0.248963\pi\)
−0.529271 + 0.848453i \(0.677534\pi\)
\(380\) 1.24551 + 2.22552i 0.0638933 + 0.114167i
\(381\) −12.7910 10.2005i −0.655303 0.522587i
\(382\) 9.28107 0.285118i 0.474861 0.0145879i
\(383\) 7.86466 + 9.86197i 0.401865 + 0.503923i 0.941051 0.338263i \(-0.109839\pi\)
−0.539186 + 0.842187i \(0.681268\pi\)
\(384\) 2.62137 11.0058i 0.133771 0.561639i
\(385\) −0.794377 + 0.250365i −0.0404852 + 0.0127598i
\(386\) −0.247621 8.06047i −0.0126036 0.410267i
\(387\) 1.62030 3.36458i 0.0823643 0.171031i
\(388\) 27.7992 + 19.5030i 1.41129 + 0.990116i
\(389\) −18.9092 9.10617i −0.958732 0.461701i −0.111993 0.993709i \(-0.535723\pi\)
−0.846739 + 0.532008i \(0.821438\pi\)
\(390\) 0.609216 + 1.17160i 0.0308489 + 0.0593261i
\(391\) −6.83097 −0.345457
\(392\) −18.0844 8.05934i −0.913402 0.407058i
\(393\) 3.17228 0.160021
\(394\) 10.9434 + 21.0454i 0.551319 + 1.06025i
\(395\) 2.34290 + 1.12828i 0.117884 + 0.0567700i
\(396\) −2.65463 1.86240i −0.133400 0.0935892i
\(397\) −16.0980 + 33.4278i −0.807935 + 1.67769i −0.0752109 + 0.997168i \(0.523963\pi\)
−0.732724 + 0.680526i \(0.761751\pi\)
\(398\) 0.410431 + 13.3602i 0.0205730 + 0.669686i
\(399\) 14.4168 + 9.70052i 0.721741 + 0.485634i
\(400\) 10.3809 16.9182i 0.519047 0.845912i
\(401\) −0.184412 0.231245i −0.00920909 0.0115478i 0.777206 0.629247i \(-0.216636\pi\)
−0.786415 + 0.617699i \(0.788065\pi\)
\(402\) 13.5715 0.416921i 0.676884 0.0207941i
\(403\) 18.7075 + 14.9187i 0.931887 + 0.743155i
\(404\) −7.02773 12.5574i −0.349643 0.624754i
\(405\) −0.151799 0.121055i −0.00754294 0.00601530i
\(406\) −39.0621 + 4.37864i −1.93862 + 0.217308i
\(407\) −9.88858 + 7.88588i −0.490159 + 0.390889i
\(408\) 2.19701 + 2.28700i 0.108768 + 0.113223i
\(409\) −26.6364 6.07959i −1.31709 0.300617i −0.494462 0.869200i \(-0.664635\pi\)
−0.822626 + 0.568583i \(0.807492\pi\)
\(410\) −0.460408 + 1.03630i −0.0227379 + 0.0511791i
\(411\) −13.0059 −0.641534
\(412\) −24.3873 + 13.6483i −1.20148 + 0.672404i
\(413\) 32.9120 10.3729i 1.61949 0.510419i
\(414\) 1.65840 8.45485i 0.0815059 0.415533i
\(415\) 0.940473 0.214657i 0.0461660 0.0105371i
\(416\) 26.8851 4.16106i 1.31815 0.204013i
\(417\) 5.27607 + 6.61598i 0.258370 + 0.323986i
\(418\) 2.89869 14.7781i 0.141779 0.722819i
\(419\) −4.97230 21.7851i −0.242913 1.06427i −0.938351 0.345684i \(-0.887647\pi\)
0.695438 0.718586i \(-0.255210\pi\)
\(420\) −0.0842132 + 1.02393i −0.00410919 + 0.0499627i
\(421\) 2.81166 12.3187i 0.137032 0.600376i −0.859046 0.511898i \(-0.828943\pi\)
0.996078 0.0884778i \(-0.0282002\pi\)
\(422\) −15.4582 6.86781i −0.752495 0.334320i
\(423\) 0.805294 0.0391547
\(424\) 3.62479 + 39.2320i 0.176035 + 1.90527i
\(425\) 2.41407 + 5.01287i 0.117100 + 0.243160i
\(426\) 3.67413 + 14.0883i 0.178012 + 0.682582i
\(427\) 25.0357 + 9.64947i 1.21156 + 0.466971i
\(428\) −0.594695 9.67003i −0.0287457 0.467418i
\(429\) 1.73514 7.60214i 0.0837733 0.367035i
\(430\) 0.473060 + 0.909753i 0.0228130 + 0.0438722i
\(431\) 12.8779 + 26.7411i 0.620304 + 1.28808i 0.940200 + 0.340623i \(0.110638\pi\)
−0.319896 + 0.947453i \(0.603648\pi\)
\(432\) −3.36406 + 2.16405i −0.161853 + 0.104118i
\(433\) 3.61279 7.50204i 0.173620 0.360525i −0.795942 0.605373i \(-0.793024\pi\)
0.969561 + 0.244848i \(0.0787382\pi\)
\(434\) 6.13849 + 17.5750i 0.294657 + 0.843627i
\(435\) 0.884977 + 1.83767i 0.0424314 + 0.0881097i
\(436\) 6.96326 + 23.6953i 0.333480 + 1.13480i
\(437\) 39.0099 8.90376i 1.86610 0.425924i
\(438\) −2.51246 2.95934i −0.120050 0.141403i
\(439\) 2.19633 2.75411i 0.104825 0.131446i −0.726652 0.687006i \(-0.758925\pi\)
0.831477 + 0.555560i \(0.187496\pi\)
\(440\) 0.846170 0.277158i 0.0403395 0.0132130i
\(441\) 2.63692 + 6.48434i 0.125568 + 0.308778i
\(442\) −3.09618 + 6.96896i −0.147270 + 0.331480i
\(443\) −18.0981 14.4328i −0.859867 0.685721i 0.0908217 0.995867i \(-0.471051\pi\)
−0.950689 + 0.310146i \(0.899622\pi\)
\(444\) 4.39874 + 14.9685i 0.208755 + 0.710372i
\(445\) −0.0783492 0.343270i −0.00371411 0.0162726i
\(446\) −3.14764 + 2.67233i −0.149045 + 0.126538i
\(447\) 7.60279 3.66131i 0.359600 0.173174i
\(448\) 19.4285 + 8.39845i 0.917910 + 0.396789i
\(449\) 29.9645 + 14.4302i 1.41411 + 0.681001i 0.975970 0.217904i \(-0.0699219\pi\)
0.438143 + 0.898905i \(0.355636\pi\)
\(450\) −6.79063 + 1.77095i −0.320113 + 0.0834832i
\(451\) 6.03294 2.90531i 0.284080 0.136806i
\(452\) 1.92797 0.118568i 0.0906841 0.00557697i
\(453\) −2.77193 0.632674i −0.130237 0.0297256i
\(454\) 7.55846 + 14.5358i 0.354736 + 0.682201i
\(455\) −2.35622 + 0.742614i −0.110461 + 0.0348143i
\(456\) −15.5275 10.1968i −0.727142 0.477509i
\(457\) 21.3851 10.2985i 1.00035 0.481744i 0.139294 0.990251i \(-0.455517\pi\)
0.861058 + 0.508507i \(0.169802\pi\)
\(458\) 5.06734 6.77074i 0.236781 0.316376i
\(459\) 1.12123i 0.0523344i
\(460\) 1.58579 + 1.75561i 0.0739380 + 0.0818557i
\(461\) 14.3664 + 3.27903i 0.669109 + 0.152720i 0.543563 0.839368i \(-0.317075\pi\)
0.125545 + 0.992088i \(0.459932\pi\)
\(462\) 4.29224 4.28734i 0.199693 0.199465i
\(463\) −7.08091 + 1.61617i −0.329078 + 0.0751099i −0.383868 0.923388i \(-0.625408\pi\)
0.0547899 + 0.998498i \(0.482551\pi\)
\(464\) 41.7040 5.14897i 1.93606 0.239035i
\(465\) 0.755257 0.602297i 0.0350242 0.0279309i
\(466\) 10.2994 2.68600i 0.477110 0.124427i
\(467\) 5.62685 + 24.6528i 0.260380 + 1.14080i 0.920841 + 0.389938i \(0.127504\pi\)
−0.660462 + 0.750860i \(0.729639\pi\)
\(468\) −7.87396 5.52411i −0.363974 0.255352i
\(469\) −3.63222 + 25.1409i −0.167720 + 1.16090i
\(470\) −0.132492 + 0.177029i −0.00611138 + 0.00816574i
\(471\) 8.41022i 0.387523i
\(472\) −35.0578 + 11.4830i −1.61367 + 0.528548i
\(473\) 1.34735 5.90311i 0.0619511 0.271425i
\(474\) −18.9321 + 0.581602i −0.869580 + 0.0267139i
\(475\) −20.3201 25.4806i −0.932351 1.16913i
\(476\) −4.92619 + 3.30648i −0.225792 + 0.151552i
\(477\) 8.68501 10.8907i 0.397659 0.498649i
\(478\) 3.77830 5.04838i 0.172815 0.230907i
\(479\) 22.0968 27.7085i 1.00963 1.26604i 0.0459587 0.998943i \(-0.485366\pi\)
0.963671 0.267092i \(-0.0860628\pi\)
\(480\) 0.0777465 1.09557i 0.00354863 0.0500056i
\(481\) −29.3308 + 23.3905i −1.33737 + 1.06651i
\(482\) −11.2399 13.2391i −0.511962 0.603023i
\(483\) 15.0405 + 5.79702i 0.684366 + 0.263774i
\(484\) 15.5017 + 6.32456i 0.704620 + 0.287480i
\(485\) 2.97017 + 1.43036i 0.134868 + 0.0649491i
\(486\) 1.38777 + 0.272208i 0.0629505 + 0.0123476i
\(487\) 1.98655 4.12512i 0.0900194 0.186927i −0.851098 0.525006i \(-0.824063\pi\)
0.941118 + 0.338079i \(0.109777\pi\)
\(488\) −26.8783 10.0149i −1.21672 0.453354i
\(489\) 13.5827i 0.614232i
\(490\) −1.85930 0.487162i −0.0839947 0.0220078i
\(491\) 32.7911i 1.47984i 0.672694 + 0.739921i \(0.265137\pi\)
−0.672694 + 0.739921i \(0.734863\pi\)
\(492\) −0.507001 8.24408i −0.0228574 0.371672i
\(493\) −5.11058 + 10.6122i −0.230169 + 0.477951i
\(494\) 8.59786 43.8336i 0.386836 1.97217i
\(495\) −0.283630 0.136589i −0.0127482 0.00613922i
\(496\) −6.77261 18.7137i −0.304099 0.840270i
\(497\) −27.1493 + 2.20166i −1.21781 + 0.0987580i
\(498\) −5.35636 + 4.54752i −0.240024 + 0.203779i
\(499\) 7.85186 6.26165i 0.351497 0.280310i −0.431784 0.901977i \(-0.642116\pi\)
0.783282 + 0.621667i \(0.213544\pi\)
\(500\) 1.46138 3.58187i 0.0653548 0.160186i
\(501\) −13.2261 + 16.5851i −0.590901 + 0.740966i
\(502\) 0.139371 + 0.104308i 0.00622042 + 0.00465547i
\(503\) 26.0534 32.6700i 1.16167 1.45668i 0.296615 0.954997i \(-0.404142\pi\)
0.865051 0.501685i \(-0.167286\pi\)
\(504\) −2.89655 6.90000i −0.129023 0.307350i
\(505\) −0.871005 1.09221i −0.0387592 0.0486025i
\(506\) −0.428956 13.9632i −0.0190694 0.620741i
\(507\) 2.25387 9.87483i 0.100098 0.438557i
\(508\) −24.2815 + 21.9328i −1.07732 + 0.973111i
\(509\) 40.9427i 1.81476i −0.420316 0.907378i \(-0.638081\pi\)
0.420316 0.907378i \(-0.361919\pi\)
\(510\) 0.246481 + 0.184471i 0.0109144 + 0.00816850i
\(511\) 6.26727 3.66971i 0.277248 0.162339i
\(512\) −20.8693 8.74483i −0.922302 0.386471i
\(513\) 1.46145 + 6.40304i 0.0645247 + 0.282701i
\(514\) −1.98170 7.59876i −0.0874091 0.335167i
\(515\) −2.12113 + 1.69155i −0.0934684 + 0.0745385i
\(516\) −6.11418 4.28951i −0.269162 0.188835i
\(517\) 1.27296 0.290544i 0.0559846 0.0127781i
\(518\) −29.0059 + 3.25139i −1.27445 + 0.142858i
\(519\) 15.6096 + 3.56278i 0.685184 + 0.156389i
\(520\) 2.50984 0.822086i 0.110064 0.0360508i
\(521\) 1.39457i 0.0610973i 0.999533 + 0.0305486i \(0.00972545\pi\)
−0.999533 + 0.0305486i \(0.990275\pi\)
\(522\) −11.8943 8.90189i −0.520598 0.389625i
\(523\) −28.4464 + 13.6990i −1.24387 + 0.599018i −0.935862 0.352366i \(-0.885377\pi\)
−0.308010 + 0.951383i \(0.599663\pi\)
\(524\) 1.02945 6.26049i 0.0449719 0.273491i
\(525\) −1.06121 13.0861i −0.0463150 0.571122i
\(526\) −11.2396 + 5.84444i −0.490068 + 0.254830i
\(527\) 5.43867 + 1.24134i 0.236912 + 0.0540736i
\(528\) −4.53691 + 4.63453i −0.197444 + 0.201692i
\(529\) 12.7193 6.12531i 0.553014 0.266318i
\(530\) 0.965201 + 3.70103i 0.0419257 + 0.160763i
\(531\) 11.7511 + 5.65905i 0.509956 + 0.245582i
\(532\) 23.8224 25.3035i 1.03283 1.09704i
\(533\) 17.8944 8.61751i 0.775094 0.373266i
\(534\) 1.65983 + 1.95506i 0.0718279 + 0.0846036i
\(535\) −0.209288 0.916949i −0.00904829 0.0396431i
\(536\) 3.58135 26.9186i 0.154691 1.16270i
\(537\) 10.1518 + 8.09577i 0.438081 + 0.349358i
\(538\) 20.2504 + 8.99688i 0.873057 + 0.387883i
\(539\) 6.50778 + 9.29865i 0.280310 + 0.400521i
\(540\) −0.288164 + 0.260290i −0.0124006 + 0.0112011i
\(541\) 1.37573 1.72511i 0.0591471 0.0741681i −0.751378 0.659872i \(-0.770610\pi\)
0.810525 + 0.585704i \(0.199182\pi\)
\(542\) 17.8460 15.1511i 0.766551 0.650796i
\(543\) −3.45144 + 0.787768i −0.148115 + 0.0338063i
\(544\) 5.22635 3.59362i 0.224078 0.154075i
\(545\) 1.04027 + 2.16014i 0.0445603 + 0.0925304i
\(546\) 12.7313 12.7168i 0.544850 0.544228i
\(547\) −3.57896 + 7.43179i −0.153025 + 0.317760i −0.963362 0.268204i \(-0.913570\pi\)
0.810337 + 0.585964i \(0.199284\pi\)
\(548\) −4.22061 + 25.6671i −0.180296 + 1.09645i
\(549\) 4.40008 + 9.13686i 0.187791 + 0.389952i
\(550\) −10.0953 + 5.24941i −0.430463 + 0.223836i
\(551\) 15.3528 67.2651i 0.654052 2.86559i
\(552\) −16.1474 6.01657i −0.687281 0.256082i
\(553\) 5.06692 35.0713i 0.215467 1.49138i
\(554\) 1.03562 0.270081i 0.0439991 0.0114746i
\(555\) 0.657146 + 1.36458i 0.0278943 + 0.0579231i
\(556\) 14.7688 8.26532i 0.626336 0.350528i
\(557\) 21.3934 0.906468 0.453234 0.891392i \(-0.350270\pi\)
0.453234 + 0.891392i \(0.350270\pi\)
\(558\) −2.85682 + 6.43020i −0.120939 + 0.272212i
\(559\) 3.99640 17.5094i 0.169030 0.740567i
\(560\) 1.99339 + 0.498475i 0.0842363 + 0.0210644i
\(561\) −0.404531 1.77236i −0.0170793 0.0748293i
\(562\) −14.7908 2.90118i −0.623911 0.122379i
\(563\) 25.5086 + 31.9868i 1.07506 + 1.34808i 0.933672 + 0.358130i \(0.116586\pi\)
0.141390 + 0.989954i \(0.454843\pi\)
\(564\) 0.261330 1.58925i 0.0110040 0.0669193i
\(565\) 0.182818 0.0417269i 0.00769119 0.00175546i
\(566\) −9.88101 1.93814i −0.415330 0.0814660i
\(567\) −0.951516 + 2.46873i −0.0399599 + 0.103677i
\(568\) 28.9956 2.67901i 1.21663 0.112409i
\(569\) −11.6024 −0.486399 −0.243200 0.969976i \(-0.578197\pi\)
−0.243200 + 0.969976i \(0.578197\pi\)
\(570\) −1.64804 0.732192i −0.0690286 0.0306681i
\(571\) −35.7076 8.15002i −1.49431 0.341068i −0.604211 0.796825i \(-0.706511\pi\)
−0.890104 + 0.455757i \(0.849369\pi\)
\(572\) −14.4397 5.89130i −0.603755 0.246328i
\(573\) −5.13335 + 4.09371i −0.214449 + 0.171017i
\(574\) 15.3542 + 1.73889i 0.640874 + 0.0725800i
\(575\) −23.6366 18.8496i −0.985715 0.786081i
\(576\) 3.17907 + 7.34122i 0.132461 + 0.305884i
\(577\) −8.97703 7.15894i −0.373719 0.298031i 0.418561 0.908189i \(-0.362535\pi\)
−0.792280 + 0.610158i \(0.791106\pi\)
\(578\) −0.683629 22.2533i −0.0284352 0.925613i
\(579\) 3.55533 + 4.45824i 0.147754 + 0.185278i
\(580\) 3.91383 1.15015i 0.162513 0.0477572i
\(581\) −6.64213 11.3437i −0.275562 0.470615i
\(582\) −24.0008 + 0.737314i −0.994866 + 0.0305627i
\(583\) 9.79945 20.3488i 0.405852 0.842759i
\(584\) −6.65558 + 3.99798i −0.275410 + 0.165438i
\(585\) −0.841281 0.405140i −0.0347827 0.0167505i
\(586\) 4.40610 2.29112i 0.182014 0.0946453i
\(587\) 28.4578 1.17458 0.587290 0.809376i \(-0.300195\pi\)
0.587290 + 0.809376i \(0.300195\pi\)
\(588\) 13.6525 3.09969i 0.563021 0.127829i
\(589\) −32.6768 −1.34643
\(590\) −3.17740 + 1.65221i −0.130812 + 0.0680204i
\(591\) −15.1120 7.27754i −0.621623 0.299358i
\(592\) 30.9677 3.82341i 1.27276 0.157141i
\(593\) −4.06599 + 8.44312i −0.166970 + 0.346718i −0.967618 0.252417i \(-0.918774\pi\)
0.800648 + 0.599135i \(0.204489\pi\)
\(594\) 2.29191 0.0704083i 0.0940381 0.00288889i
\(595\) −0.419809 + 0.394333i −0.0172105 + 0.0161661i
\(596\) −4.75837 16.1922i −0.194910 0.663260i
\(597\) −5.89294 7.38952i −0.241182 0.302433i
\(598\) −1.27234 41.4167i −0.0520297 1.69365i
\(599\) 21.8117 + 17.3943i 0.891203 + 0.710711i 0.957912 0.287062i \(-0.0926785\pi\)
−0.0667092 + 0.997772i \(0.521250\pi\)
\(600\) 1.29129 + 13.9760i 0.0527169 + 0.570567i
\(601\) 10.4282 + 8.31619i 0.425374 + 0.339224i 0.812663 0.582734i \(-0.198017\pi\)
−0.387289 + 0.921958i \(0.626588\pi\)
\(602\) 9.88595 9.87466i 0.402921 0.402461i
\(603\) −7.50637 + 5.98613i −0.305683 + 0.243774i
\(604\) −2.14811 + 5.26508i −0.0874055 + 0.214233i
\(605\) 1.58457 + 0.361667i 0.0644217 + 0.0147038i
\(606\) 9.29896 + 4.13135i 0.377744 + 0.167825i
\(607\) −18.0976 −0.734558 −0.367279 0.930111i \(-0.619711\pi\)
−0.367279 + 0.930111i \(0.619711\pi\)
\(608\) −25.1623 + 27.3345i −1.02046 + 1.10856i
\(609\) 20.2585 19.0291i 0.820915 0.771097i
\(610\) −2.73250 0.535973i −0.110636 0.0217009i
\(611\) 3.77575 0.861791i 0.152751 0.0348643i
\(612\) −2.21274 0.363855i −0.0894446 0.0147080i
\(613\) 15.8309 + 19.8513i 0.639403 + 0.801786i 0.990928 0.134393i \(-0.0429083\pi\)
−0.351525 + 0.936178i \(0.614337\pi\)
\(614\) 12.4984 + 2.45153i 0.504395 + 0.0989359i
\(615\) −0.178426 0.781735i −0.00719483 0.0315226i
\(616\) −7.06815 9.86203i −0.284784 0.397353i
\(617\) −3.72839 + 16.3352i −0.150099 + 0.657629i 0.842755 + 0.538297i \(0.180932\pi\)
−0.992854 + 0.119332i \(0.961925\pi\)
\(618\) 8.02336 18.0592i 0.322747 0.726447i
\(619\) −31.1807 −1.25326 −0.626629 0.779318i \(-0.715566\pi\)
−0.626629 + 0.779318i \(0.715566\pi\)
\(620\) −0.943540 1.68595i −0.0378935 0.0677094i
\(621\) 2.64340 + 5.48907i 0.106076 + 0.220269i
\(622\) 24.2093 6.31360i 0.970704 0.253152i
\(623\) −4.14041 + 2.42436i −0.165882 + 0.0971299i
\(624\) −13.4570 + 13.7466i −0.538713 + 0.550304i
\(625\) −5.43751 + 23.8233i −0.217501 + 0.952932i
\(626\) −27.3474 + 14.2203i −1.09302 + 0.568359i
\(627\) 4.62034 + 9.59424i 0.184519 + 0.383157i
\(628\) 16.5975 + 2.72924i 0.662314 + 0.108909i
\(629\) −3.79490 + 7.88020i −0.151313 + 0.314204i
\(630\) −0.386155 0.615343i −0.0153848 0.0245158i
\(631\) −5.05742 10.5018i −0.201333 0.418072i 0.775718 0.631080i \(-0.217388\pi\)
−0.977050 + 0.213008i \(0.931674\pi\)
\(632\) −4.99596 + 37.5512i −0.198729 + 1.49371i
\(633\) 11.6610 2.66154i 0.463482 0.105787i
\(634\) −2.97271 + 2.52381i −0.118061 + 0.100233i
\(635\) −1.98051 + 2.48348i −0.0785940 + 0.0985538i
\(636\) −18.6743 20.6740i −0.740483 0.819778i
\(637\) 19.3029 + 27.5809i 0.764808 + 1.09280i
\(638\) −22.0135 9.78017i −0.871521 0.387201i
\(639\) −8.04907 6.41892i −0.318416 0.253929i
\(640\) −2.13687 0.508961i −0.0844672 0.0201184i
\(641\) 8.65120 + 37.9034i 0.341702 + 1.49709i 0.795480 + 0.605979i \(0.207219\pi\)
−0.453778 + 0.891115i \(0.649924\pi\)
\(642\) 4.43377 + 5.22238i 0.174987 + 0.206111i
\(643\) −20.9123 + 10.0709i −0.824702 + 0.397156i −0.798126 0.602491i \(-0.794175\pi\)
−0.0265767 + 0.999647i \(0.508461\pi\)
\(644\) 16.3213 27.8011i 0.643148 1.09552i
\(645\) −0.653260 0.314594i −0.0257221 0.0123871i
\(646\) −2.62802 10.0771i −0.103398 0.396477i
\(647\) −32.4062 + 15.6060i −1.27402 + 0.613536i −0.943846 0.330385i \(-0.892821\pi\)
−0.330173 + 0.943920i \(0.607107\pi\)
\(648\) 0.987553 2.65042i 0.0387947 0.104118i
\(649\) 20.6172 + 4.70574i 0.809296 + 0.184716i
\(650\) −29.9438 + 15.5704i −1.17449 + 0.610721i
\(651\) −10.9215 7.34866i −0.428046 0.288017i
\(652\) −26.8055 4.40780i −1.04978 0.172623i
\(653\) 29.9551 14.4256i 1.17223 0.564518i 0.256595 0.966519i \(-0.417399\pi\)
0.915639 + 0.402001i \(0.131685\pi\)
\(654\) −13.9815 10.4640i −0.546719 0.409174i
\(655\) 0.615924i 0.0240661i
\(656\) −16.4342 1.67476i −0.641648 0.0653885i
\(657\) 2.67619 + 0.610822i 0.104408 + 0.0238304i
\(658\) 2.84348 + 0.996801i 0.110850 + 0.0388593i
\(659\) −21.4918 + 4.90536i −0.837202 + 0.191086i −0.619566 0.784944i \(-0.712691\pi\)
−0.217635 + 0.976030i \(0.569834\pi\)
\(660\) −0.361600 + 0.515418i −0.0140753 + 0.0200626i
\(661\) 9.04876 7.21614i 0.351956 0.280676i −0.431513 0.902107i \(-0.642020\pi\)
0.783469 + 0.621431i \(0.213449\pi\)
\(662\) −6.79399 26.0513i −0.264056 1.01251i
\(663\) −1.19989 5.25705i −0.0465998 0.204167i
\(664\) 7.23629 + 12.0465i 0.280822 + 0.467495i
\(665\) 1.88343 2.79913i 0.0730364 0.108546i
\(666\) −8.83219 6.61017i −0.342240 0.256139i
\(667\) 64.0018i 2.47816i
\(668\) 28.4385 + 31.4839i 1.10032 + 1.21815i
\(669\) 0.649689 2.84647i 0.0251184 0.110051i
\(670\) −0.0809485 2.63501i −0.00312731 0.101799i
\(671\) 10.2519 + 12.8555i 0.395770 + 0.496279i
\(672\) −14.5571 + 3.47718i −0.561552 + 0.134135i
\(673\) 10.9357 13.7130i 0.421541 0.528595i −0.525033 0.851082i \(-0.675947\pi\)
0.946574 + 0.322486i \(0.104519\pi\)
\(674\) 16.8512 + 12.6117i 0.649084 + 0.485786i
\(675\) 3.09395 3.87968i 0.119086 0.149329i
\(676\) −18.7565 7.65253i −0.721405 0.294328i
\(677\) 17.5635 14.0065i 0.675022 0.538312i −0.224890 0.974384i \(-0.572202\pi\)
0.899912 + 0.436072i \(0.143631\pi\)
\(678\) −1.04122 + 0.883986i −0.0399877 + 0.0339493i
\(679\) 6.42349 44.4610i 0.246511 1.70626i
\(680\) 0.444039 0.426566i 0.0170281 0.0163581i
\(681\) −10.4377 5.02651i −0.399972 0.192616i
\(682\) −2.19591 + 11.1952i −0.0840857 + 0.428685i
\(683\) −4.08266 + 8.47772i −0.156218 + 0.324391i −0.964358 0.264600i \(-0.914760\pi\)
0.808140 + 0.588991i \(0.200475\pi\)
\(684\) 13.1106 0.806289i 0.501298 0.0308292i
\(685\) 2.52520i 0.0964829i
\(686\) 1.28455 + 26.1601i 0.0490443 + 0.998797i
\(687\) 5.98000i 0.228151i
\(688\) −10.4495 + 10.6743i −0.398383 + 0.406954i
\(689\) 29.0664 60.3569i 1.10734 2.29942i
\(690\) −1.64158 0.321991i −0.0624937 0.0122580i
\(691\) −8.71265 4.19579i −0.331445 0.159615i 0.260758 0.965404i \(-0.416027\pi\)
−0.592203 + 0.805789i \(0.701742\pi\)
\(692\) 12.0967 29.6492i 0.459847 1.12710i
\(693\) −0.613398 + 4.24571i −0.0233010 + 0.161281i
\(694\) 3.28140 + 3.86505i 0.124560 + 0.146715i
\(695\) 1.28454 1.02439i 0.0487256 0.0388573i
\(696\) −21.4277 + 20.5845i −0.812216 + 0.780254i
\(697\) 2.88705 3.62025i 0.109355 0.137127i
\(698\) 24.5618 32.8183i 0.929678 1.24219i
\(699\) −4.69261 + 5.88434i −0.177491 + 0.222566i
\(700\) −26.1697 2.15233i −0.989121 0.0813504i
\(701\) 16.2526 + 20.3801i 0.613851 + 0.769744i 0.987465 0.157840i \(-0.0504530\pi\)
−0.373614 + 0.927584i \(0.621882\pi\)
\(702\) 6.79808 0.208840i 0.256577 0.00788215i
\(703\) 11.4004 49.9482i 0.429972 1.88383i
\(704\) 7.67393 + 10.4576i 0.289222 + 0.394134i
\(705\) 0.156354i 0.00588864i
\(706\) 0.549964 0.734836i 0.0206982 0.0276559i
\(707\) −10.6272 + 15.7939i −0.399676 + 0.593992i
\(708\) 14.9815 21.3544i 0.563040 0.802547i
\(709\) −6.88496 30.1650i −0.258570 1.13287i −0.922781 0.385324i \(-0.874090\pi\)
0.664211 0.747545i \(-0.268768\pi\)
\(710\) 2.73536 0.713361i 0.102656 0.0267720i
\(711\) 10.4713 8.35061i 0.392706 0.313172i
\(712\) 4.39694 2.64122i 0.164782 0.0989841i
\(713\) −29.5521 + 6.74506i −1.10673 + 0.252605i
\(714\) 1.38786 3.95903i 0.0519395 0.148163i
\(715\) −1.47602 0.336891i −0.0551999 0.0125990i
\(716\) 19.2714 17.4073i 0.720205 0.650541i
\(717\) 4.45879i 0.166517i
\(718\) −8.96729 + 11.9817i −0.334656 + 0.447152i
\(719\) −26.8905 + 12.9498i −1.00285 + 0.482945i −0.861903 0.507072i \(-0.830728\pi\)
−0.140943 + 0.990018i \(0.545013\pi\)
\(720\) 0.420168 + 0.653158i 0.0156587 + 0.0243418i
\(721\) 30.6729 + 20.6387i 1.14232 + 0.768624i
\(722\) 15.7465 + 30.2824i 0.586023 + 1.12699i
\(723\) 11.9723 + 2.73261i 0.445256 + 0.101627i
\(724\) 0.434615 + 7.06704i 0.0161523 + 0.262644i
\(725\) −46.9674 + 22.6183i −1.74432 + 0.840023i
\(726\) −11.4554 + 2.98748i −0.425149 + 0.110876i
\(727\) 18.9489 + 9.12532i 0.702777 + 0.338439i 0.750913 0.660401i \(-0.229614\pi\)
−0.0481361 + 0.998841i \(0.515328\pi\)
\(728\) −20.9650 29.2520i −0.777015 1.08415i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −0.574579 + 0.487814i −0.0212661 + 0.0180548i
\(731\) −0.931721 4.08214i −0.0344609 0.150983i
\(732\) 19.4595 5.71850i 0.719242 0.211362i
\(733\) 20.3280 + 16.2110i 0.750832 + 0.598769i 0.922324 0.386417i \(-0.126287\pi\)
−0.171492 + 0.985186i \(0.554859\pi\)
\(734\) −13.9058 + 31.2996i −0.513273 + 1.15529i
\(735\) 1.25899 0.511979i 0.0464384 0.0188846i
\(736\) −17.1138 + 29.9145i −0.630822 + 1.10266i
\(737\) −9.70584 + 12.1707i −0.357519 + 0.448315i
\(738\) 3.77996 + 4.45229i 0.139142 + 0.163891i
\(739\) 3.45730 0.789107i 0.127179 0.0290278i −0.158458 0.987366i \(-0.550652\pi\)
0.285637 + 0.958338i \(0.407795\pi\)
\(740\) 2.90625 0.854050i 0.106836 0.0313955i
\(741\) 13.7045 + 28.4577i 0.503448 + 1.04542i
\(742\) 44.1472 27.7043i 1.62069 1.01706i
\(743\) −7.07758 + 14.6967i −0.259651 + 0.539171i −0.989517 0.144420i \(-0.953868\pi\)
0.729865 + 0.683591i \(0.239583\pi\)
\(744\) 11.7629 + 7.72462i 0.431249 + 0.283198i
\(745\) −0.710873 1.47614i −0.0260444 0.0540817i
\(746\) 11.0395 + 21.2302i 0.404184 + 0.777294i
\(747\) 1.10558 4.84386i 0.0404510 0.177228i
\(748\) −3.62903 + 0.223181i −0.132691 + 0.00816032i
\(749\) −11.0599 + 6.47599i −0.404121 + 0.236627i
\(750\) 0.690298 + 2.64692i 0.0252061 + 0.0966520i
\(751\) 5.11587 + 10.6232i 0.186681 + 0.387647i 0.973214 0.229901i \(-0.0738404\pi\)
−0.786533 + 0.617548i \(0.788126\pi\)
\(752\) −3.05157 1.03147i −0.111279 0.0376138i
\(753\) −0.123094 −0.00448579
\(754\) −65.2947 29.0092i −2.37789 1.05645i
\(755\) −0.122839 + 0.538192i −0.00447056 + 0.0195868i
\(756\) 4.56325 + 2.67895i 0.165964 + 0.0974326i
\(757\) −5.52051 24.1869i −0.200646 0.879089i −0.970545 0.240922i \(-0.922550\pi\)
0.769898 0.638167i \(-0.220307\pi\)
\(758\) −1.22098 + 6.22478i −0.0443479 + 0.226094i
\(759\) 6.15893 + 7.72305i 0.223555 + 0.280329i
\(760\) −1.97979 + 3.01479i −0.0718145 + 0.109358i
\(761\) −6.26459 + 1.42985i −0.227091 + 0.0518321i −0.334552 0.942377i \(-0.608585\pi\)
0.107461 + 0.994209i \(0.465728\pi\)
\(762\) 4.45341 22.7043i 0.161330 0.822492i
\(763\) 23.8134 22.3683i 0.862103 0.809785i
\(764\) 6.41308 + 11.4591i 0.232017 + 0.414577i
\(765\) −0.217695 −0.00787078
\(766\) −7.24281 + 16.3023i −0.261693 + 0.589026i
\(767\) 61.1532 + 13.9578i 2.20811 + 0.503987i
\(768\) 15.5195 3.89155i 0.560013 0.140424i
\(769\) −4.68472 + 3.73594i −0.168935 + 0.134721i −0.704308 0.709895i \(-0.748743\pi\)
0.535373 + 0.844616i \(0.320171\pi\)
\(770\) −0.832421 0.833373i −0.0299984 0.0300327i
\(771\) 4.34140 + 3.46215i 0.156352 + 0.124686i