Properties

Label 588.2.x.a.55.12
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 55.12
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.365015 + 1.36630i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.73353 - 0.997438i) q^{4} +(-0.617993 + 1.28328i) q^{5} +(0.921681 - 1.07262i) q^{6} +(2.62009 - 0.367586i) q^{7} +(1.99556 - 2.00443i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-0.365015 + 1.36630i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.73353 - 0.997438i) q^{4} +(-0.617993 + 1.28328i) q^{5} +(0.921681 - 1.07262i) q^{6} +(2.62009 - 0.367586i) q^{7} +(1.99556 - 2.00443i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-1.52776 - 1.31278i) q^{10} +(-3.17064 - 2.52850i) q^{11} +(1.12908 + 1.65081i) q^{12} +(0.222642 + 0.177551i) q^{13} +(-0.454143 + 3.71399i) q^{14} +(1.11359 - 0.888054i) q^{15} +(2.01024 + 3.45817i) q^{16} +(0.185554 + 0.0423514i) q^{17} +(-1.29580 + 0.566491i) q^{18} +7.80617 q^{19} +(2.35130 - 1.60818i) q^{20} +(-2.52011 - 0.805632i) q^{21} +(4.61201 - 3.40909i) q^{22} +(2.63773 - 0.602045i) q^{23} +(-2.66763 + 0.940089i) q^{24} +(1.85257 + 2.32305i) q^{25} +(-0.323855 + 0.239386i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-4.90864 - 1.97616i) q^{28} +(-0.353311 + 1.54796i) q^{29} +(0.806869 + 1.84564i) q^{30} +3.75188 q^{31} +(-5.45865 + 1.48429i) q^{32} +(1.75957 + 3.65379i) q^{33} +(-0.125595 + 0.238062i) q^{34} +(-1.14748 + 3.58947i) q^{35} +(-0.301008 - 1.97722i) q^{36} +(-1.64682 + 7.21521i) q^{37} +(-2.84937 + 10.6655i) q^{38} +(-0.123557 - 0.256569i) q^{39} +(1.33900 + 3.79958i) q^{40} +(-0.965003 + 2.00385i) q^{41} +(2.02061 - 3.14915i) q^{42} +(2.38434 + 4.95113i) q^{43} +(2.97437 + 7.54574i) q^{44} +(-1.38862 + 0.316943i) q^{45} +(-0.140241 + 3.82367i) q^{46} +(0.847501 - 1.06273i) q^{47} +(-0.310715 - 3.98791i) q^{48} +(6.72976 - 1.92622i) q^{49} +(-3.85018 + 1.68321i) q^{50} +(-0.148803 - 0.118666i) q^{51} +(-0.208860 - 0.529861i) q^{52} +(2.76318 + 12.1063i) q^{53} +(1.41326 + 0.0518343i) q^{54} +(5.20420 - 2.50621i) q^{55} +(4.49175 - 5.98533i) q^{56} +(-7.03311 - 3.38697i) q^{57} +(-1.98600 - 1.04775i) q^{58} +(1.62587 - 0.782978i) q^{59} +(-2.81621 + 0.428735i) q^{60} +(-6.72792 - 1.53560i) q^{61} +(-1.36949 + 5.12617i) q^{62} +(1.92099 + 1.81928i) q^{63} +(-0.0354855 - 7.99992i) q^{64} +(-0.365438 + 0.175986i) q^{65} +(-5.63443 + 1.07041i) q^{66} -10.0388i q^{67} +(-0.279420 - 0.258496i) q^{68} +(-2.63773 - 0.602045i) q^{69} +(-4.48542 - 2.87801i) q^{70} +(12.2478 - 2.79548i) q^{71} +(2.81134 + 0.310449i) q^{72} +(9.58733 - 7.64564i) q^{73} +(-9.25699 - 4.88371i) q^{74} +(-0.661174 - 2.89679i) q^{75} +(-13.5322 - 7.78617i) q^{76} +(-9.23680 - 5.45942i) q^{77} +(0.395649 - 0.0751638i) q^{78} +9.31782i q^{79} +(-5.68010 + 0.442560i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-2.38561 - 2.04992i) q^{82} +(-3.52380 - 4.41870i) q^{83} +(3.56511 + 3.91024i) q^{84} +(-0.169020 + 0.211944i) q^{85} +(-7.63503 + 1.45047i) q^{86} +(0.989955 - 1.24136i) q^{87} +(-11.3954 + 1.30955i) q^{88} +(7.19839 - 5.74052i) q^{89} +(0.0738292 - 2.01295i) q^{90} +(0.648608 + 0.383360i) q^{91} +(-5.17308 - 1.58731i) q^{92} +(-3.38032 - 1.62788i) q^{93} +(1.14266 + 1.54585i) q^{94} +(-4.82416 + 10.0175i) q^{95} +(5.56208 + 1.03112i) q^{96} -6.37792i q^{97} +(0.175314 + 9.89794i) q^{98} -4.05540i 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.365015 + 1.36630i −0.258105 + 0.966117i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −1.73353 0.997438i −0.866764 0.498719i
\(5\) −0.617993 + 1.28328i −0.276375 + 0.573898i −0.992240 0.124341i \(-0.960318\pi\)
0.715865 + 0.698239i \(0.246033\pi\)
\(6\) 0.921681 1.07262i 0.376275 0.437893i
\(7\) 2.62009 0.367586i 0.990302 0.138934i
\(8\) 1.99556 2.00443i 0.705537 0.708673i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −1.52776 1.31278i −0.483119 0.415136i
\(11\) −3.17064 2.52850i −0.955983 0.762371i 0.0154017 0.999881i \(-0.495097\pi\)
−0.971385 + 0.237510i \(0.923669\pi\)
\(12\) 1.12908 + 1.65081i 0.325938 + 0.476548i
\(13\) 0.222642 + 0.177551i 0.0617498 + 0.0492438i 0.653878 0.756600i \(-0.273141\pi\)
−0.592129 + 0.805844i \(0.701712\pi\)
\(14\) −0.454143 + 3.71399i −0.121375 + 0.992607i
\(15\) 1.11359 0.888054i 0.287526 0.229295i
\(16\) 2.01024 + 3.45817i 0.502559 + 0.864543i
\(17\) 0.185554 + 0.0423514i 0.0450034 + 0.0102717i 0.244963 0.969532i \(-0.421224\pi\)
−0.199960 + 0.979804i \(0.564081\pi\)
\(18\) −1.29580 + 0.566491i −0.305422 + 0.133523i
\(19\) 7.80617 1.79086 0.895429 0.445205i \(-0.146869\pi\)
0.895429 + 0.445205i \(0.146869\pi\)
\(20\) 2.35130 1.60818i 0.525766 0.359601i
\(21\) −2.52011 0.805632i −0.549933 0.175803i
\(22\) 4.61201 3.40909i 0.983284 0.726820i
\(23\) 2.63773 0.602045i 0.550005 0.125535i 0.0615175 0.998106i \(-0.480406\pi\)
0.488487 + 0.872571i \(0.337549\pi\)
\(24\) −2.66763 + 0.940089i −0.544527 + 0.191895i
\(25\) 1.85257 + 2.32305i 0.370513 + 0.464609i
\(26\) −0.323855 + 0.239386i −0.0635132 + 0.0469474i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) −4.90864 1.97616i −0.927647 0.373459i
\(29\) −0.353311 + 1.54796i −0.0656082 + 0.287448i −0.997080 0.0763656i \(-0.975668\pi\)
0.931472 + 0.363814i \(0.118526\pi\)
\(30\) 0.806869 + 1.84564i 0.147313 + 0.336966i
\(31\) 3.75188 0.673857 0.336929 0.941530i \(-0.390612\pi\)
0.336929 + 0.941530i \(0.390612\pi\)
\(32\) −5.45865 + 1.48429i −0.964963 + 0.262388i
\(33\) 1.75957 + 3.65379i 0.306302 + 0.636043i
\(34\) −0.125595 + 0.238062i −0.0215393 + 0.0408274i
\(35\) −1.14748 + 3.58947i −0.193960 + 0.606730i
\(36\) −0.301008 1.97722i −0.0501681 0.329536i
\(37\) −1.64682 + 7.21521i −0.270736 + 1.18617i 0.638410 + 0.769696i \(0.279592\pi\)
−0.909146 + 0.416477i \(0.863265\pi\)
\(38\) −2.84937 + 10.6655i −0.462229 + 1.73018i
\(39\) −0.123557 0.256569i −0.0197849 0.0410839i
\(40\) 1.33900 + 3.79958i 0.211714 + 0.600766i
\(41\) −0.965003 + 2.00385i −0.150708 + 0.312949i −0.962631 0.270816i \(-0.912707\pi\)
0.811923 + 0.583765i \(0.198421\pi\)
\(42\) 2.02061 3.14915i 0.311787 0.485924i
\(43\) 2.38434 + 4.95113i 0.363608 + 0.755041i 0.999865 0.0164370i \(-0.00523229\pi\)
−0.636257 + 0.771478i \(0.719518\pi\)
\(44\) 2.97437 + 7.54574i 0.448403 + 1.13756i
\(45\) −1.38862 + 0.316943i −0.207003 + 0.0472471i
\(46\) −0.140241 + 3.82367i −0.0206774 + 0.563770i
\(47\) 0.847501 1.06273i 0.123621 0.155015i −0.716170 0.697926i \(-0.754106\pi\)
0.839790 + 0.542911i \(0.182678\pi\)
\(48\) −0.310715 3.98791i −0.0448478 0.575606i
\(49\) 6.72976 1.92622i 0.961395 0.275174i
\(50\) −3.85018 + 1.68321i −0.544498 + 0.238041i
\(51\) −0.148803 0.118666i −0.0208365 0.0166166i
\(52\) −0.208860 0.529861i −0.0289636 0.0734785i
\(53\) 2.76318 + 12.1063i 0.379552 + 1.66293i 0.698847 + 0.715271i \(0.253697\pi\)
−0.319295 + 0.947656i \(0.603446\pi\)
\(54\) 1.41326 + 0.0518343i 0.192321 + 0.00705376i
\(55\) 5.20420 2.50621i 0.701734 0.337937i
\(56\) 4.49175 5.98533i 0.600235 0.799824i
\(57\) −7.03311 3.38697i −0.931558 0.448615i
\(58\) −1.98600 1.04775i −0.260775 0.137577i
\(59\) 1.62587 0.782978i 0.211670 0.101935i −0.325045 0.945699i \(-0.605379\pi\)
0.536715 + 0.843764i \(0.319665\pi\)
\(60\) −2.81621 + 0.428735i −0.363571 + 0.0553494i
\(61\) −6.72792 1.53560i −0.861422 0.196614i −0.231083 0.972934i \(-0.574227\pi\)
−0.630339 + 0.776320i \(0.717084\pi\)
\(62\) −1.36949 + 5.12617i −0.173926 + 0.651025i
\(63\) 1.92099 + 1.81928i 0.242022 + 0.229208i
\(64\) −0.0354855 7.99992i −0.00443568 0.999990i
\(65\) −0.365438 + 0.175986i −0.0453270 + 0.0218283i
\(66\) −5.63443 + 1.07041i −0.693550 + 0.131758i
\(67\) 10.0388i 1.22644i −0.789913 0.613219i \(-0.789874\pi\)
0.789913 0.613219i \(-0.210126\pi\)
\(68\) −0.279420 0.258496i −0.0338846 0.0313472i
\(69\) −2.63773 0.602045i −0.317545 0.0724777i
\(70\) −4.48542 2.87801i −0.536110 0.343988i
\(71\) 12.2478 2.79548i 1.45355 0.331763i 0.578453 0.815716i \(-0.303657\pi\)
0.875094 + 0.483953i \(0.160800\pi\)
\(72\) 2.81134 + 0.310449i 0.331319 + 0.0365868i
\(73\) 9.58733 7.64564i 1.12211 0.894854i 0.126834 0.991924i \(-0.459518\pi\)
0.995278 + 0.0970695i \(0.0309469\pi\)
\(74\) −9.25699 4.88371i −1.07610 0.567720i
\(75\) −0.661174 2.89679i −0.0763458 0.334493i
\(76\) −13.5322 7.78617i −1.55225 0.893135i
\(77\) −9.23680 5.45942i −1.05263 0.622159i
\(78\) 0.395649 0.0751638i 0.0447984 0.00851063i
\(79\) 9.31782i 1.04834i 0.851615 + 0.524169i \(0.175624\pi\)
−0.851615 + 0.524169i \(0.824376\pi\)
\(80\) −5.68010 + 0.442560i −0.635055 + 0.0494797i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −2.38561 2.04992i −0.263447 0.226375i
\(83\) −3.52380 4.41870i −0.386787 0.485016i 0.549877 0.835246i \(-0.314675\pi\)
−0.936664 + 0.350230i \(0.886103\pi\)
\(84\) 3.56511 + 3.91024i 0.388986 + 0.426642i
\(85\) −0.169020 + 0.211944i −0.0183327 + 0.0229885i
\(86\) −7.63503 + 1.45047i −0.823307 + 0.156409i
\(87\) 0.989955 1.24136i 0.106134 0.133088i
\(88\) −11.3954 + 1.30955i −1.21475 + 0.139599i
\(89\) 7.19839 5.74052i 0.763027 0.608494i −0.162704 0.986675i \(-0.552022\pi\)
0.925732 + 0.378181i \(0.123450\pi\)
\(90\) 0.0738292 2.01295i 0.00778228 0.212184i
\(91\) 0.648608 + 0.383360i 0.0679925 + 0.0401870i
\(92\) −5.17308 1.58731i −0.539331 0.165489i
\(93\) −3.38032 1.62788i −0.350523 0.168803i
\(94\) 1.14266 + 1.54585i 0.117856 + 0.159442i
\(95\) −4.82416 + 10.0175i −0.494948 + 1.02777i
\(96\) 5.56208 + 1.03112i 0.567678 + 0.105238i
\(97\) 6.37792i 0.647580i −0.946129 0.323790i \(-0.895043\pi\)
0.946129 0.323790i \(-0.104957\pi\)
\(98\) 0.175314 + 9.89794i 0.0177094 + 0.999843i
\(99\) 4.05540i 0.407583i
\(100\) −0.894382 5.87489i −0.0894382 0.587489i
\(101\) 5.14768 10.6893i 0.512214 1.06362i −0.471163 0.882046i \(-0.656166\pi\)
0.983377 0.181577i \(-0.0581201\pi\)
\(102\) 0.216448 0.159993i 0.0214316 0.0158417i
\(103\) −9.58063 4.61379i −0.944007 0.454610i −0.102426 0.994741i \(-0.532661\pi\)
−0.841581 + 0.540131i \(0.818375\pi\)
\(104\) 0.800184 0.0919568i 0.0784645 0.00901710i
\(105\) 2.59126 2.73612i 0.252881 0.267018i
\(106\) −17.5494 0.643660i −1.70455 0.0625177i
\(107\) 1.92097 1.53192i 0.185707 0.148097i −0.526223 0.850346i \(-0.676392\pi\)
0.711931 + 0.702250i \(0.247821\pi\)
\(108\) −0.586684 + 1.91202i −0.0564537 + 0.183984i
\(109\) 6.27796 7.87231i 0.601319 0.754031i −0.384264 0.923223i \(-0.625545\pi\)
0.985583 + 0.169193i \(0.0541160\pi\)
\(110\) 1.52461 + 8.02527i 0.145366 + 0.765180i
\(111\) 4.61430 5.78615i 0.437970 0.549197i
\(112\) 6.53817 + 8.32179i 0.617799 + 0.786336i
\(113\) 12.1726 + 15.2640i 1.14511 + 1.43592i 0.882062 + 0.471133i \(0.156155\pi\)
0.263043 + 0.964784i \(0.415274\pi\)
\(114\) 7.19479 8.37301i 0.673854 0.784205i
\(115\) −0.857510 + 3.75699i −0.0799632 + 0.350342i
\(116\) 2.15646 2.33102i 0.200223 0.216430i
\(117\) 0.284770i 0.0263270i
\(118\) 0.476311 + 2.50722i 0.0438480 + 0.230808i
\(119\) 0.501736 + 0.0427577i 0.0459940 + 0.00391960i
\(120\) 0.442181 4.00427i 0.0403655 0.365538i
\(121\) 1.21191 + 5.30971i 0.110173 + 0.482701i
\(122\) 4.55389 8.63181i 0.412289 0.781488i
\(123\) 1.73888 1.38671i 0.156789 0.125035i
\(124\) −6.50398 3.74226i −0.584075 0.336065i
\(125\) −11.0691 + 2.52644i −0.990048 + 0.225972i
\(126\) −3.18687 + 1.96057i −0.283909 + 0.174662i
\(127\) 3.17459 + 0.724579i 0.281699 + 0.0642960i 0.361036 0.932552i \(-0.382423\pi\)
−0.0793368 + 0.996848i \(0.525280\pi\)
\(128\) 10.9432 + 2.87161i 0.967252 + 0.253817i
\(129\) 5.49534i 0.483838i
\(130\) −0.107058 0.563534i −0.00938961 0.0494252i
\(131\) −14.3308 + 6.90133i −1.25208 + 0.602972i −0.938070 0.346446i \(-0.887388\pi\)
−0.314014 + 0.949418i \(0.601674\pi\)
\(132\) 0.594161 8.08901i 0.0517151 0.704058i
\(133\) 20.4529 2.86943i 1.77349 0.248812i
\(134\) 13.7160 + 3.66433i 1.18488 + 0.316550i
\(135\) 1.38862 + 0.316943i 0.119513 + 0.0272781i
\(136\) 0.455174 0.287415i 0.0390309 0.0246456i
\(137\) −8.21140 + 3.95440i −0.701547 + 0.337847i −0.750423 0.660957i \(-0.770150\pi\)
0.0488759 + 0.998805i \(0.484436\pi\)
\(138\) 1.78538 3.38416i 0.151982 0.288079i
\(139\) −16.0352 7.72215i −1.36009 0.654984i −0.395432 0.918495i \(-0.629405\pi\)
−0.964656 + 0.263511i \(0.915119\pi\)
\(140\) 5.56947 5.07789i 0.470706 0.429160i
\(141\) −1.22467 + 0.589772i −0.103136 + 0.0496678i
\(142\) −0.651183 + 17.7545i −0.0546461 + 1.48993i
\(143\) −0.256979 1.12590i −0.0214897 0.0941525i
\(144\) −1.45035 + 3.72780i −0.120862 + 0.310650i
\(145\) −1.76811 1.41002i −0.146834 0.117096i
\(146\) 6.94668 + 15.8899i 0.574911 + 1.31506i
\(147\) −6.89906 1.18447i −0.569025 0.0976937i
\(148\) 10.0515 10.8652i 0.826232 0.893111i
\(149\) −3.78300 + 4.74373i −0.309915 + 0.388622i −0.912258 0.409616i \(-0.865663\pi\)
0.602343 + 0.798238i \(0.294234\pi\)
\(150\) 4.19921 + 0.154015i 0.342864 + 0.0125753i
\(151\) −14.8253 + 3.38378i −1.20647 + 0.275368i −0.778043 0.628211i \(-0.783787\pi\)
−0.428422 + 0.903579i \(0.640930\pi\)
\(152\) 15.5777 15.6469i 1.26352 1.26913i
\(153\) 0.0825792 + 0.171478i 0.00667613 + 0.0138631i
\(154\) 10.8308 10.6274i 0.872767 0.856383i
\(155\) −2.31863 + 4.81469i −0.186237 + 0.386725i
\(156\) −0.0417219 + 0.568009i −0.00334043 + 0.0454771i
\(157\) −0.0189505 0.0393510i −0.00151241 0.00314056i 0.900211 0.435453i \(-0.143412\pi\)
−0.901724 + 0.432313i \(0.857698\pi\)
\(158\) −12.7309 3.40115i −1.01282 0.270581i
\(159\) 2.76318 12.1063i 0.219135 0.960091i
\(160\) 1.46866 7.92224i 0.116108 0.626308i
\(161\) 6.68979 2.54700i 0.527229 0.200732i
\(162\) −1.25082 0.659893i −0.0982734 0.0518461i
\(163\) −2.84195 5.90136i −0.222598 0.462230i 0.759523 0.650481i \(-0.225433\pi\)
−0.982121 + 0.188251i \(0.939718\pi\)
\(164\) 3.67158 2.51120i 0.286702 0.196092i
\(165\) −5.77622 −0.449678
\(166\) 7.32349 3.20165i 0.568413 0.248497i
\(167\) 2.48345 10.8807i 0.192175 0.841974i −0.783261 0.621693i \(-0.786445\pi\)
0.975436 0.220281i \(-0.0706976\pi\)
\(168\) −6.64386 + 3.44370i −0.512585 + 0.265687i
\(169\) −2.87473 12.5950i −0.221133 0.968846i
\(170\) −0.227883 0.308293i −0.0174778 0.0236450i
\(171\) 4.86706 + 6.10311i 0.372194 + 0.466716i
\(172\) 0.805129 10.9612i 0.0613905 0.835780i
\(173\) 10.4905 2.39439i 0.797577 0.182042i 0.195735 0.980657i \(-0.437291\pi\)
0.601842 + 0.798615i \(0.294434\pi\)
\(174\) 1.33472 + 1.80569i 0.101185 + 0.136889i
\(175\) 5.70782 + 5.40562i 0.431470 + 0.408626i
\(176\) 2.37026 16.0475i 0.178665 1.20963i
\(177\) −1.80458 −0.135641
\(178\) 5.21573 + 11.9305i 0.390935 + 0.894229i
\(179\) −17.0032 3.88087i −1.27088 0.290070i −0.466679 0.884427i \(-0.654549\pi\)
−0.804201 + 0.594357i \(0.797407\pi\)
\(180\) 2.72334 + 0.835631i 0.202986 + 0.0622842i
\(181\) −5.80075 + 4.62594i −0.431166 + 0.343843i −0.814901 0.579600i \(-0.803209\pi\)
0.383735 + 0.923443i \(0.374638\pi\)
\(182\) −0.760535 + 0.746257i −0.0563746 + 0.0553163i
\(183\) 5.39538 + 4.30267i 0.398838 + 0.318062i
\(184\) 4.05699 6.48856i 0.299085 0.478343i
\(185\) −8.24138 6.57228i −0.605918 0.483204i
\(186\) 3.45803 4.02432i 0.253555 0.295078i
\(187\) −0.481238 0.603454i −0.0351916 0.0441289i
\(188\) −2.52918 + 0.996946i −0.184459 + 0.0727098i
\(189\) −0.941395 2.47261i −0.0684764 0.179856i
\(190\) −11.9259 10.2478i −0.865198 0.743450i
\(191\) −2.72066 + 5.64952i −0.196860 + 0.408785i −0.975909 0.218179i \(-0.929988\pi\)
0.779048 + 0.626964i \(0.215703\pi\)
\(192\) −3.43906 + 7.22308i −0.248193 + 0.521281i
\(193\) 17.4301 + 8.39388i 1.25464 + 0.604205i 0.938753 0.344591i \(-0.111982\pi\)
0.315891 + 0.948795i \(0.397697\pi\)
\(194\) 8.71412 + 2.32804i 0.625638 + 0.167143i
\(195\) 0.405606 0.0290460
\(196\) −13.5875 3.37337i −0.970536 0.240955i
\(197\) 7.96516 0.567494 0.283747 0.958899i \(-0.408422\pi\)
0.283747 + 0.958899i \(0.408422\pi\)
\(198\) 5.54087 + 1.48028i 0.393773 + 0.105199i
\(199\) 15.6249 + 7.52455i 1.10762 + 0.533402i 0.896046 0.443961i \(-0.146427\pi\)
0.211573 + 0.977362i \(0.432141\pi\)
\(200\) 8.35329 + 0.922433i 0.590667 + 0.0652259i
\(201\) −4.35569 + 9.04467i −0.307226 + 0.637962i
\(202\) 12.7257 + 10.9350i 0.895379 + 0.769385i
\(203\) −0.356700 + 4.18566i −0.0250355 + 0.293776i
\(204\) 0.139591 + 0.354132i 0.00977335 + 0.0247942i
\(205\) −1.97513 2.47673i −0.137949 0.172982i
\(206\) 9.80088 11.4059i 0.682859 0.794684i
\(207\) 2.11530 + 1.68689i 0.147023 + 0.117247i
\(208\) −0.166439 + 1.12685i −0.0115405 + 0.0781332i
\(209\) −24.7505 19.7379i −1.71203 1.36530i
\(210\) 2.79250 + 4.53915i 0.192701 + 0.313231i
\(211\) −16.7959 + 13.3943i −1.15628 + 0.922101i −0.997867 0.0652726i \(-0.979208\pi\)
−0.158410 + 0.987373i \(0.550637\pi\)
\(212\) 7.28522 23.7427i 0.500351 1.63065i
\(213\) −12.2478 2.79548i −0.839206 0.191543i
\(214\) 1.39188 + 3.18379i 0.0951468 + 0.217640i
\(215\) −7.82717 −0.533809
\(216\) −2.39823 1.49950i −0.163179 0.102028i
\(217\) 9.83026 1.37914i 0.667322 0.0936219i
\(218\) 8.46435 + 11.4511i 0.573278 + 0.775564i
\(219\) −11.9552 + 2.72870i −0.807858 + 0.184388i
\(220\) −11.5214 0.846281i −0.776773 0.0570562i
\(221\) 0.0337925 + 0.0423745i 0.00227313 + 0.00285042i
\(222\) 6.22130 + 8.41653i 0.417546 + 0.564881i
\(223\) −2.15388 9.43676i −0.144234 0.631932i −0.994424 0.105456i \(-0.966370\pi\)
0.850190 0.526477i \(-0.176487\pi\)
\(224\) −13.7566 + 5.89550i −0.919149 + 0.393909i
\(225\) −0.661174 + 2.89679i −0.0440782 + 0.193119i
\(226\) −25.2983 + 11.0598i −1.68282 + 0.735689i
\(227\) 26.9714 1.79016 0.895079 0.445908i \(-0.147119\pi\)
0.895079 + 0.445908i \(0.147119\pi\)
\(228\) 8.81380 + 12.8865i 0.583708 + 0.853429i
\(229\) 8.20775 + 17.0436i 0.542383 + 1.12627i 0.974486 + 0.224446i \(0.0720573\pi\)
−0.432103 + 0.901824i \(0.642228\pi\)
\(230\) −4.82016 2.54297i −0.317832 0.167679i
\(231\) 5.95332 + 8.92647i 0.391700 + 0.587318i
\(232\) 2.39772 + 3.79722i 0.157418 + 0.249300i
\(233\) −3.25769 + 14.2729i −0.213418 + 0.935047i 0.748806 + 0.662789i \(0.230627\pi\)
−0.962224 + 0.272258i \(0.912230\pi\)
\(234\) −0.389080 0.103945i −0.0254349 0.00679512i
\(235\) 0.840029 + 1.74434i 0.0547975 + 0.113788i
\(236\) −3.59946 0.264391i −0.234305 0.0172104i
\(237\) 4.04285 8.39507i 0.262611 0.545318i
\(238\) −0.241561 + 0.669912i −0.0156581 + 0.0434240i
\(239\) −4.93373 10.2450i −0.319136 0.662693i 0.678259 0.734823i \(-0.262735\pi\)
−0.997395 + 0.0721297i \(0.977020\pi\)
\(240\) 5.30961 + 2.06577i 0.342734 + 0.133345i
\(241\) −1.86855 + 0.426484i −0.120364 + 0.0274723i −0.282279 0.959332i \(-0.591090\pi\)
0.161915 + 0.986805i \(0.448233\pi\)
\(242\) −7.69700 0.282303i −0.494782 0.0181471i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) 10.1314 + 9.37270i 0.648595 + 0.600026i
\(245\) −1.68708 + 9.82653i −0.107784 + 0.627794i
\(246\) 1.25994 + 2.88199i 0.0803305 + 0.183749i
\(247\) 1.73798 + 1.38599i 0.110585 + 0.0881886i
\(248\) 7.48709 7.52038i 0.475431 0.477544i
\(249\) 1.25763 + 5.51003i 0.0796990 + 0.349184i
\(250\) 0.588513 16.0458i 0.0372209 1.01483i
\(251\) −10.6366 + 5.12231i −0.671376 + 0.323317i −0.738331 0.674439i \(-0.764386\pi\)
0.0669554 + 0.997756i \(0.478671\pi\)
\(252\) −1.51547 5.06985i −0.0954654 0.319370i
\(253\) −9.88556 4.76063i −0.621500 0.299298i
\(254\) −2.14876 + 4.07295i −0.134825 + 0.255559i
\(255\) 0.244240 0.117620i 0.0152949 0.00736565i
\(256\) −7.91791 + 13.9035i −0.494869 + 0.868967i
\(257\) −25.6796 5.86120i −1.60185 0.365612i −0.674048 0.738687i \(-0.735446\pi\)
−0.927801 + 0.373076i \(0.878303\pi\)
\(258\) 7.50826 + 2.00588i 0.467444 + 0.124881i
\(259\) −1.66262 + 19.5099i −0.103310 + 1.21228i
\(260\) 0.809032 + 0.0594258i 0.0501740 + 0.00368543i
\(261\) −1.43053 + 0.688905i −0.0885474 + 0.0426422i
\(262\) −4.19831 22.0991i −0.259372 1.36529i
\(263\) 5.38078i 0.331793i 0.986143 + 0.165897i \(0.0530518\pi\)
−0.986143 + 0.165897i \(0.946948\pi\)
\(264\) 10.8351 + 3.76441i 0.666854 + 0.231684i
\(265\) −17.2433 3.93568i −1.05925 0.241767i
\(266\) −3.54512 + 28.9921i −0.217365 + 1.77762i
\(267\) −8.97624 + 2.04877i −0.549337 + 0.125383i
\(268\) −10.0131 + 17.4026i −0.611648 + 1.06303i
\(269\) 14.5020 11.5649i 0.884201 0.705127i −0.0721351 0.997395i \(-0.522981\pi\)
0.956337 + 0.292268i \(0.0944098\pi\)
\(270\) −0.939905 + 1.78157i −0.0572008 + 0.108423i
\(271\) 6.18676 + 27.1060i 0.375819 + 1.64657i 0.710103 + 0.704098i \(0.248649\pi\)
−0.334284 + 0.942473i \(0.608494\pi\)
\(272\) 0.226548 + 0.726813i 0.0137365 + 0.0440695i
\(273\) −0.418042 0.626816i −0.0253010 0.0379366i
\(274\) −2.40560 12.6626i −0.145327 0.764977i
\(275\) 12.0498i 0.726628i
\(276\) 3.97208 + 3.67463i 0.239091 + 0.221187i
\(277\) 0.928522 4.06812i 0.0557895 0.244430i −0.939343 0.342980i \(-0.888564\pi\)
0.995132 + 0.0985508i \(0.0314207\pi\)
\(278\) 16.4038 19.0901i 0.983837 1.14495i
\(279\) 2.33926 + 2.93334i 0.140048 + 0.175614i
\(280\) 4.90496 + 9.46305i 0.293128 + 0.565525i
\(281\) −11.4335 + 14.3371i −0.682065 + 0.855282i −0.995543 0.0943131i \(-0.969935\pi\)
0.313478 + 0.949596i \(0.398506\pi\)
\(282\) −0.358778 1.88854i −0.0213649 0.112461i
\(283\) −5.28715 + 6.62988i −0.314288 + 0.394105i −0.913736 0.406309i \(-0.866816\pi\)
0.599447 + 0.800414i \(0.295387\pi\)
\(284\) −24.0202 7.37038i −1.42534 0.437352i
\(285\) 8.69283 6.93230i 0.514919 0.410634i
\(286\) 1.63211 + 0.0598611i 0.0965089 + 0.00353966i
\(287\) −1.79181 + 5.60499i −0.105767 + 0.330852i
\(288\) −4.56388 3.34231i −0.268929 0.196947i
\(289\) −15.2838 7.36031i −0.899049 0.432959i
\(290\) 2.57189 1.90108i 0.151027 0.111635i
\(291\) −2.76728 + 5.74631i −0.162221 + 0.336854i
\(292\) −24.2459 + 3.69116i −1.41889 + 0.216009i
\(293\) 7.84107i 0.458080i −0.973417 0.229040i \(-0.926441\pi\)
0.973417 0.229040i \(-0.0735587\pi\)
\(294\) 4.13660 8.99380i 0.241252 0.524529i
\(295\) 2.57031i 0.149650i
\(296\) 11.1761 + 17.6993i 0.649595 + 1.02875i
\(297\) −1.75957 + 3.65379i −0.102101 + 0.212014i
\(298\) −5.10049 6.90023i −0.295463 0.399720i
\(299\) 0.694163 + 0.334291i 0.0401445 + 0.0193326i
\(300\) −1.74321 + 5.68115i −0.100644 + 0.328001i
\(301\) 8.06715 + 12.0960i 0.464983 + 0.697200i
\(302\) 0.788222 21.4909i 0.0453571 1.23666i
\(303\) −9.27581 + 7.39721i −0.532881 + 0.424959i
\(304\) 15.6922 + 26.9951i 0.900011 + 1.54827i
\(305\) 6.12842 7.68479i 0.350912 0.440030i
\(306\) −0.264432 + 0.0502357i −0.0151166 + 0.00287178i
\(307\) 5.70350 7.15196i 0.325516 0.408184i −0.591965 0.805964i \(-0.701648\pi\)
0.917481 + 0.397780i \(0.130219\pi\)
\(308\) 10.5668 + 18.6772i 0.602100 + 1.06423i
\(309\) 6.63000 + 8.31376i 0.377168 + 0.472953i
\(310\) −5.73196 4.92538i −0.325553 0.279743i
\(311\) 4.90647 21.4966i 0.278220 1.21896i −0.621822 0.783159i \(-0.713607\pi\)
0.900042 0.435803i \(-0.143536\pi\)
\(312\) −0.760839 0.264337i −0.0430741 0.0149651i
\(313\) 29.4433i 1.66424i 0.554598 + 0.832118i \(0.312872\pi\)
−0.554598 + 0.832118i \(0.687128\pi\)
\(314\) 0.0606824 0.0115282i 0.00342450 0.000650574i
\(315\) −3.52180 + 1.34086i −0.198431 + 0.0755487i
\(316\) 9.29395 16.1527i 0.522826 0.908661i
\(317\) 0.375333 + 1.64444i 0.0210808 + 0.0923611i 0.984374 0.176091i \(-0.0563452\pi\)
−0.963293 + 0.268452i \(0.913488\pi\)
\(318\) 15.5322 + 8.19431i 0.871001 + 0.459514i
\(319\) 5.03423 4.01466i 0.281863 0.224778i
\(320\) 10.2880 + 4.89836i 0.575119 + 0.273827i
\(321\) −2.39541 + 0.546738i −0.133699 + 0.0305159i
\(322\) 1.03808 + 10.0699i 0.0578501 + 0.561175i
\(323\) 1.44846 + 0.330602i 0.0805947 + 0.0183952i
\(324\) 1.35818 1.46811i 0.0754542 0.0815619i
\(325\) 0.846133i 0.0469350i
\(326\) 9.10036 1.72885i 0.504022 0.0957522i
\(327\) −9.07191 + 4.36880i −0.501678 + 0.241595i
\(328\) 2.09086 + 5.93308i 0.115448 + 0.327600i
\(329\) 1.82988 3.09599i 0.100885 0.170687i
\(330\) 2.10841 7.89203i 0.116064 0.434442i
\(331\) −20.9938 4.79169i −1.15392 0.263375i −0.397590 0.917563i \(-0.630153\pi\)
−0.756332 + 0.654188i \(0.773011\pi\)
\(332\) 1.70122 + 11.1747i 0.0933665 + 0.613292i
\(333\) −6.66786 + 3.21107i −0.365396 + 0.175966i
\(334\) 13.9598 + 7.36475i 0.763844 + 0.402981i
\(335\) 12.8826 + 6.20393i 0.703851 + 0.338957i
\(336\) −2.28000 10.3345i −0.124384 0.563792i
\(337\) −10.7614 + 5.18239i −0.586208 + 0.282303i −0.703386 0.710808i \(-0.748330\pi\)
0.117178 + 0.993111i \(0.462615\pi\)
\(338\) 18.2578 + 0.669643i 0.993094 + 0.0364238i
\(339\) −4.34436 19.0339i −0.235953 1.03378i
\(340\) 0.504401 0.198824i 0.0273550 0.0107827i
\(341\) −11.8958 9.48662i −0.644196 0.513729i
\(342\) −10.1152 + 4.42212i −0.546967 + 0.239121i
\(343\) 16.9245 7.52063i 0.913839 0.406076i
\(344\) 14.6823 + 5.10103i 0.791616 + 0.275029i
\(345\) 2.40269 3.01288i 0.129356 0.162208i
\(346\) −0.557752 + 15.2071i −0.0299849 + 0.817539i
\(347\) 16.7103 3.81402i 0.897057 0.204747i 0.250955 0.967999i \(-0.419255\pi\)
0.646102 + 0.763251i \(0.276398\pi\)
\(348\) −2.95430 + 1.16452i −0.158367 + 0.0624248i
\(349\) 8.36177 + 17.3634i 0.447595 + 0.929441i 0.995665 + 0.0930087i \(0.0296484\pi\)
−0.548070 + 0.836432i \(0.684637\pi\)
\(350\) −9.46911 + 5.82543i −0.506145 + 0.311382i
\(351\) 0.123557 0.256569i 0.00659498 0.0136946i
\(352\) 21.0604 + 9.09606i 1.12253 + 0.484821i
\(353\) −8.15955 16.9435i −0.434289 0.901811i −0.997163 0.0752682i \(-0.976019\pi\)
0.562874 0.826543i \(-0.309696\pi\)
\(354\) 0.658699 2.46559i 0.0350095 0.131045i
\(355\) −3.98168 + 17.4449i −0.211326 + 0.925879i
\(356\) −18.2044 + 2.77141i −0.964832 + 0.146884i
\(357\) −0.433496 0.256218i −0.0229431 0.0135605i
\(358\) 11.5089 21.8148i 0.608262 1.15295i
\(359\) −10.8934 22.6205i −0.574934 1.19386i −0.962314 0.271942i \(-0.912334\pi\)
0.387380 0.921920i \(-0.373380\pi\)
\(360\) −2.13578 + 3.41587i −0.112565 + 0.180032i
\(361\) 41.9362 2.20717
\(362\) −4.20304 9.61407i −0.220907 0.505304i
\(363\) 1.21191 5.30971i 0.0636086 0.278687i
\(364\) −0.742001 1.31151i −0.0388914 0.0687419i
\(365\) 3.88656 + 17.0281i 0.203432 + 0.891294i
\(366\) −7.84811 + 5.80114i −0.410227 + 0.303230i
\(367\) 4.91338 + 6.16119i 0.256476 + 0.321611i 0.893354 0.449354i \(-0.148346\pi\)
−0.636877 + 0.770965i \(0.719774\pi\)
\(368\) 7.38443 + 7.91147i 0.384940 + 0.412414i
\(369\) −2.16834 + 0.494910i −0.112879 + 0.0257640i
\(370\) 11.9879 8.86118i 0.623222 0.460671i
\(371\) 11.6899 + 30.7039i 0.606909 + 1.59407i
\(372\) 4.23618 + 6.19364i 0.219636 + 0.321125i
\(373\) −22.6045 −1.17042 −0.585208 0.810883i \(-0.698987\pi\)
−0.585208 + 0.810883i \(0.698987\pi\)
\(374\) 1.00016 0.437244i 0.0517168 0.0226093i
\(375\) 11.0691 + 2.52644i 0.571604 + 0.130465i
\(376\) −0.438935 3.81950i −0.0226364 0.196976i
\(377\) −0.353503 + 0.281909i −0.0182063 + 0.0145191i
\(378\) 3.72193 0.383685i 0.191436 0.0197346i
\(379\) −29.7970 23.7623i −1.53057 1.22059i −0.892880 0.450295i \(-0.851319\pi\)
−0.637690 0.770293i \(-0.720110\pi\)
\(380\) 18.3546 12.5538i 0.941571 0.643994i
\(381\) −2.54582 2.03023i −0.130426 0.104012i
\(382\) −6.72583 5.77939i −0.344123 0.295699i
\(383\) −5.07381 6.36236i −0.259260 0.325101i 0.635117 0.772416i \(-0.280952\pi\)
−0.894377 + 0.447315i \(0.852380\pi\)
\(384\) −8.61355 7.33531i −0.439558 0.374329i
\(385\) 12.7142 8.47948i 0.647977 0.432154i
\(386\) −17.8308 + 20.7507i −0.907562 + 1.05618i
\(387\) −2.38434 + 4.95113i −0.121203 + 0.251680i
\(388\) −6.36158 + 11.0563i −0.322960 + 0.561298i
\(389\) −9.22981 4.44484i −0.467970 0.225362i 0.185011 0.982736i \(-0.440768\pi\)
−0.652981 + 0.757374i \(0.726482\pi\)
\(390\) −0.148052 + 0.554177i −0.00749692 + 0.0280619i
\(391\) 0.514938 0.0260415
\(392\) 9.56867 17.3332i 0.483291 0.875460i
\(393\) 15.9059 0.802349
\(394\) −2.90741 + 10.8828i −0.146473 + 0.548266i
\(395\) −11.9573 5.75835i −0.601639 0.289734i
\(396\) −4.04501 + 7.03014i −0.203269 + 0.353278i
\(397\) 6.11402 12.6959i 0.306854 0.637189i −0.689332 0.724446i \(-0.742096\pi\)
0.996186 + 0.0872568i \(0.0278101\pi\)
\(398\) −15.9841 + 18.6017i −0.801210 + 0.932417i
\(399\) −19.6724 6.28890i −0.984852 0.314839i
\(400\) −4.30940 + 11.0764i −0.215470 + 0.553818i
\(401\) −3.70460 4.64543i −0.184999 0.231982i 0.680680 0.732581i \(-0.261684\pi\)
−0.865679 + 0.500599i \(0.833113\pi\)
\(402\) −10.7678 9.25260i −0.537049 0.461478i
\(403\) 0.835325 + 0.666150i 0.0416105 + 0.0331833i
\(404\) −19.5855 + 13.3957i −0.974417 + 0.666459i
\(405\) −1.11359 0.888054i −0.0553345 0.0441278i
\(406\) −5.58865 2.01519i −0.277360 0.100012i
\(407\) 23.4651 18.7128i 1.16312 0.927560i
\(408\) −0.534802 + 0.0614592i −0.0264767 + 0.00304269i
\(409\) −20.2417 4.62003i −1.00089 0.228446i −0.309475 0.950908i \(-0.600153\pi\)
−0.691411 + 0.722462i \(0.743010\pi\)
\(410\) 4.10490 1.79456i 0.202726 0.0886271i
\(411\) 9.11397 0.449559
\(412\) 12.0063 + 17.5542i 0.591509 + 0.864834i
\(413\) 3.97212 2.64912i 0.195455 0.130355i
\(414\) −3.07691 + 2.27438i −0.151222 + 0.111780i
\(415\) 7.84810 1.79128i 0.385248 0.0879303i
\(416\) −1.47886 0.638724i −0.0725072 0.0313160i
\(417\) 11.0967 + 13.9148i 0.543408 + 0.681412i
\(418\) 36.0021 26.6119i 1.76092 1.30163i
\(419\) 7.64293 + 33.4859i 0.373382 + 1.63589i 0.717208 + 0.696859i \(0.245420\pi\)
−0.343827 + 0.939033i \(0.611723\pi\)
\(420\) −7.22113 + 2.15852i −0.352355 + 0.105325i
\(421\) 5.43018 23.7912i 0.264651 1.15951i −0.651491 0.758656i \(-0.725856\pi\)
0.916142 0.400854i \(-0.131287\pi\)
\(422\) −12.1698 27.8373i −0.592416 1.35510i
\(423\) 1.35929 0.0660907
\(424\) 29.7803 + 18.6202i 1.44626 + 0.904278i
\(425\) 0.245367 + 0.509509i 0.0119020 + 0.0247148i
\(426\) 8.29009 15.7137i 0.401656 0.761332i
\(427\) −18.1922 1.55034i −0.880384 0.0750261i
\(428\) −4.85806 + 0.739582i −0.234823 + 0.0357491i
\(429\) −0.256979 + 1.12590i −0.0124071 + 0.0543590i
\(430\) 2.85704 10.6942i 0.137779 0.515722i
\(431\) 13.1412 + 27.2880i 0.632990 + 1.31442i 0.932792 + 0.360416i \(0.117365\pi\)
−0.299802 + 0.954002i \(0.596920\pi\)
\(432\) 2.92415 2.72935i 0.140688 0.131316i
\(433\) 11.5721 24.0297i 0.556119 1.15479i −0.413575 0.910470i \(-0.635720\pi\)
0.969694 0.244323i \(-0.0785658\pi\)
\(434\) −1.70389 + 13.9345i −0.0817893 + 0.668875i
\(435\) 0.981227 + 2.03754i 0.0470463 + 0.0976926i
\(436\) −18.7352 + 7.38499i −0.897251 + 0.353677i
\(437\) 20.5906 4.69966i 0.984980 0.224815i
\(438\) 0.635627 17.3304i 0.0303714 0.828077i
\(439\) 9.79589 12.2837i 0.467532 0.586267i −0.491033 0.871141i \(-0.663380\pi\)
0.958565 + 0.284874i \(0.0919518\pi\)
\(440\) 5.36176 15.4327i 0.255612 0.735727i
\(441\) 5.70191 + 4.06056i 0.271520 + 0.193360i
\(442\) −0.0702309 + 0.0307032i −0.00334054 + 0.00146040i
\(443\) 0.531156 + 0.423583i 0.0252360 + 0.0201250i 0.636027 0.771667i \(-0.280577\pi\)
−0.610791 + 0.791792i \(0.709148\pi\)
\(444\) −13.7703 + 5.42797i −0.653511 + 0.257600i
\(445\) 2.91812 + 12.7851i 0.138332 + 0.606073i
\(446\) 13.6796 + 0.501728i 0.647748 + 0.0237575i
\(447\) 5.46659 2.63257i 0.258561 0.124516i
\(448\) −3.03363 20.9475i −0.143326 0.989676i
\(449\) −9.44725 4.54955i −0.445843 0.214707i 0.197472 0.980309i \(-0.436727\pi\)
−0.643315 + 0.765602i \(0.722441\pi\)
\(450\) −3.71653 1.96073i −0.175199 0.0924298i
\(451\) 8.12641 3.91347i 0.382658 0.184278i
\(452\) −5.87670 38.6020i −0.276417 1.81569i
\(453\) 14.8253 + 3.38378i 0.696553 + 0.158984i
\(454\) −9.84499 + 36.8510i −0.462048 + 1.72950i
\(455\) −0.892792 + 0.595429i −0.0418547 + 0.0279141i
\(456\) −20.8239 + 7.33849i −0.975170 + 0.343656i
\(457\) 16.4874 7.93992i 0.771248 0.371414i −0.00650846 0.999979i \(-0.502072\pi\)
0.777757 + 0.628565i \(0.216357\pi\)
\(458\) −26.2825 + 4.99305i −1.22810 + 0.233310i
\(459\) 0.190326i 0.00888364i
\(460\) 5.23389 5.65754i 0.244031 0.263784i
\(461\) −24.5345 5.59985i −1.14269 0.260811i −0.391038 0.920374i \(-0.627884\pi\)
−0.751649 + 0.659564i \(0.770741\pi\)
\(462\) −14.3692 + 4.87570i −0.668518 + 0.226838i
\(463\) −20.0692 + 4.58066i −0.932694 + 0.212881i −0.661759 0.749717i \(-0.730190\pi\)
−0.270935 + 0.962598i \(0.587333\pi\)
\(464\) −6.06334 + 1.88995i −0.281483 + 0.0877385i
\(465\) 4.17803 3.33187i 0.193752 0.154512i
\(466\) −18.3119 9.66079i −0.848280 0.447527i
\(467\) −0.468610 2.05312i −0.0216847 0.0950068i 0.962928 0.269760i \(-0.0869444\pi\)
−0.984612 + 0.174753i \(0.944087\pi\)
\(468\) 0.284040 0.493656i 0.0131298 0.0228193i
\(469\) −3.69013 26.3027i −0.170394 1.21454i
\(470\) −2.68991 + 0.511018i −0.124076 + 0.0235715i
\(471\) 0.0436764i 0.00201250i
\(472\) 1.67510 4.82142i 0.0771025 0.221924i
\(473\) 4.95906 21.7271i 0.228018 0.999011i
\(474\) 9.99444 + 8.58806i 0.459060 + 0.394463i
\(475\) 14.4614 + 18.1341i 0.663537 + 0.832049i
\(476\) −0.827125 0.574572i −0.0379112 0.0263355i
\(477\) −7.74226 + 9.70849i −0.354494 + 0.444521i
\(478\) 15.7986 3.00135i 0.722610 0.137279i
\(479\) −11.3019 + 14.1722i −0.516398 + 0.647542i −0.969840 0.243743i \(-0.921625\pi\)
0.453442 + 0.891286i \(0.350196\pi\)
\(480\) −4.76054 + 6.50046i −0.217288 + 0.296704i
\(481\) −1.64772 + 1.31401i −0.0751296 + 0.0599138i
\(482\) 0.0993459 2.70867i 0.00452508 0.123376i
\(483\) −7.13240 0.607820i −0.324535 0.0276568i
\(484\) 3.19523 10.4133i 0.145238 0.473333i
\(485\) 8.18463 + 3.94151i 0.371645 + 0.178975i
\(486\) 0.840630 + 1.13725i 0.0381317 + 0.0515868i
\(487\) 3.85320 8.00126i 0.174605 0.362572i −0.795239 0.606296i \(-0.792655\pi\)
0.969845 + 0.243724i \(0.0783691\pi\)
\(488\) −16.5040 + 10.4213i −0.747100 + 0.471749i
\(489\) 6.55002i 0.296202i
\(490\) −12.8101 5.89188i −0.578703 0.266168i
\(491\) 28.7534i 1.29762i −0.760949 0.648812i \(-0.775266\pi\)
0.760949 0.648812i \(-0.224734\pi\)
\(492\) −4.39754 + 0.669474i −0.198257 + 0.0301822i
\(493\) −0.131116 + 0.272266i −0.00590518 + 0.0122622i
\(494\) −2.52807 + 1.86869i −0.113743 + 0.0840761i
\(495\) 5.20420 + 2.50621i 0.233911 + 0.112646i
\(496\) 7.54215 + 12.9746i 0.338653 + 0.582578i
\(497\) 31.0628 11.8265i 1.39336 0.530493i
\(498\) −7.98739 0.292954i −0.357923 0.0131276i
\(499\) 14.0042 11.1680i 0.626916 0.499949i −0.257727 0.966218i \(-0.582974\pi\)
0.884643 + 0.466269i \(0.154402\pi\)
\(500\) 21.7085 + 6.66105i 0.970834 + 0.297891i
\(501\) −6.95847 + 8.72565i −0.310882 + 0.389833i
\(502\) −3.11607 16.4024i −0.139077 0.732077i
\(503\) 8.24839 10.3432i 0.367778 0.461179i −0.563165 0.826345i \(-0.690416\pi\)
0.930942 + 0.365166i \(0.118988\pi\)
\(504\) 7.48008 0.220003i 0.333189 0.00979970i
\(505\) 10.5361 + 13.2118i 0.468848 + 0.587917i
\(506\) 10.1128 11.7689i 0.449569 0.523191i
\(507\) −2.87473 + 12.5950i −0.127671 + 0.559364i
\(508\) −4.78052 4.42254i −0.212101 0.196218i
\(509\) 38.5070i 1.70679i 0.521262 + 0.853397i \(0.325462\pi\)
−0.521262 + 0.853397i \(0.674538\pi\)
\(510\) 0.0715521 + 0.376638i 0.00316838 + 0.0166778i
\(511\) 22.3093 23.5564i 0.986903 1.04208i
\(512\) −16.1061 15.8932i −0.711796 0.702386i
\(513\) −1.73704 7.61045i −0.0766920 0.336010i
\(514\) 17.3816 32.9465i 0.766669 1.45321i
\(515\) 11.8415 9.44330i 0.521800 0.416122i
\(516\) −5.48126 + 9.52633i −0.241299 + 0.419373i
\(517\) −5.37424 + 1.22663i −0.236359 + 0.0539473i
\(518\) −26.0494 9.39304i −1.14454 0.412706i
\(519\) −10.4905 2.39439i −0.460481 0.105102i
\(520\) −0.376502 + 1.08369i −0.0165107 + 0.0475228i
\(521\) 0.0558531i 0.00244697i −0.999999 0.00122348i \(-0.999611\pi\)
0.999999 0.00122348i \(-0.000389447\pi\)
\(522\) −0.419084 2.20598i −0.0183428 0.0965532i
\(523\) 18.7479 9.02849i 0.819786 0.394788i 0.0235117 0.999724i \(-0.492515\pi\)
0.796275 + 0.604935i \(0.206801\pi\)
\(524\) 31.7264 + 2.33040i 1.38597 + 0.101804i
\(525\) −2.79715 7.34682i −0.122078 0.320642i
\(526\) −7.35174 1.96407i −0.320551 0.0856374i
\(527\) 0.696175 + 0.158897i 0.0303259 + 0.00692168i
\(528\) −9.09828 + 13.4299i −0.395952 + 0.584460i
\(529\) −14.1271 + 6.80326i −0.614223 + 0.295794i
\(530\) 11.6714 22.1229i 0.506973 0.960958i
\(531\) 1.62587 + 0.782978i 0.0705568 + 0.0339783i
\(532\) −38.3177 15.4262i −1.66128 0.668812i
\(533\) −0.570636 + 0.274804i −0.0247170 + 0.0119031i
\(534\) 0.477243 13.0120i 0.0206523 0.563086i
\(535\) 0.778734 + 3.41186i 0.0336676 + 0.147507i
\(536\) −20.1221 20.0331i −0.869144 0.865297i
\(537\) 13.6355 + 10.8740i 0.588416 + 0.469246i
\(538\) 10.5077 + 24.0354i 0.453019 + 1.03624i
\(539\) −26.2081 10.9089i −1.12886 0.469878i
\(540\) −2.09108 1.93449i −0.0899856 0.0832472i
\(541\) −26.0072 + 32.6120i −1.11814 + 1.40210i −0.212960 + 0.977061i \(0.568310\pi\)
−0.905176 + 0.425037i \(0.860261\pi\)
\(542\) −39.2930 1.44115i −1.68778 0.0619028i
\(543\) 7.23341 1.65098i 0.310415 0.0708503i
\(544\) −1.07574 + 0.0442337i −0.0461218 + 0.00189650i
\(545\) 6.22261 + 12.9214i 0.266547 + 0.553491i
\(546\) 1.00901 0.342371i 0.0431815 0.0146521i
\(547\) −15.0596 + 31.2716i −0.643902 + 1.33708i 0.282037 + 0.959404i \(0.408990\pi\)
−0.925939 + 0.377673i \(0.876724\pi\)
\(548\) 18.1790 + 1.33530i 0.776567 + 0.0570411i
\(549\) −2.99421 6.21754i −0.127790 0.265358i
\(550\) 16.4635 + 4.39835i 0.702007 + 0.187546i
\(551\) −2.75800 + 12.0836i −0.117495 + 0.514779i
\(552\) −6.47050 + 4.08573i −0.275403 + 0.173900i
\(553\) 3.42510 + 24.4136i 0.145650 + 1.03817i
\(554\) 5.21933 + 2.75356i 0.221748 + 0.116988i
\(555\) 4.57362 + 9.49722i 0.194139 + 0.403135i
\(556\) 20.0951 + 29.3807i 0.852222 + 1.24602i
\(557\) 42.3809 1.79574 0.897869 0.440263i \(-0.145115\pi\)
0.897869 + 0.440263i \(0.145115\pi\)
\(558\) −4.86167 + 2.12540i −0.205811 + 0.0899755i
\(559\) −0.348225 + 1.52567i −0.0147283 + 0.0645290i
\(560\) −14.7197 + 3.24747i −0.622021 + 0.137231i
\(561\) 0.171752 + 0.752495i 0.00725137 + 0.0317703i
\(562\) −15.4154 20.8548i −0.650259 0.879707i
\(563\) −26.1401 32.7787i −1.10167 1.38146i −0.917109 0.398636i \(-0.869484\pi\)
−0.184566 0.982820i \(-0.559088\pi\)
\(564\) 2.71127 + 0.199151i 0.114165 + 0.00838575i
\(565\) −27.1105 + 6.18780i −1.14055 + 0.260323i
\(566\) −7.12848 9.64382i −0.299632 0.405360i
\(567\) −0.224656 + 2.63620i −0.00943465 + 0.110710i
\(568\) 18.8379 30.1284i 0.790419 1.26416i
\(569\) −11.3438 −0.475558 −0.237779 0.971319i \(-0.576419\pi\)
−0.237779 + 0.971319i \(0.576419\pi\)
\(570\) 6.29855 + 14.4074i 0.263817 + 0.603458i
\(571\) −19.3543 4.41749i −0.809952 0.184866i −0.202562 0.979270i \(-0.564927\pi\)
−0.607391 + 0.794403i \(0.707784\pi\)
\(572\) −0.677535 + 2.20810i −0.0283292 + 0.0923253i
\(573\) 4.90247 3.90959i 0.204804 0.163325i
\(574\) −7.00404 4.49405i −0.292343 0.187578i
\(575\) 6.28515 + 5.01224i 0.262109 + 0.209025i
\(576\) 6.23247 5.01561i 0.259686 0.208984i
\(577\) −16.7689 13.3728i −0.698099 0.556716i 0.208854 0.977947i \(-0.433027\pi\)
−0.906953 + 0.421231i \(0.861598\pi\)
\(578\) 15.6352 18.1956i 0.650338 0.756838i
\(579\) −12.0620 15.1253i −0.501279 0.628584i
\(580\) 1.65866 + 4.20789i 0.0688721 + 0.174723i
\(581\) −10.8569 10.2821i −0.450421 0.426574i
\(582\) −6.84106 5.87841i −0.283571 0.243668i
\(583\) 21.8497 45.3714i 0.904922 1.87909i
\(584\) 3.80693 34.4745i 0.157532 1.42656i
\(585\) −0.365438 0.175986i −0.0151090 0.00727611i
\(586\) 10.7132 + 2.86211i 0.442559 + 0.118233i
\(587\) −11.0746 −0.457097 −0.228549 0.973533i \(-0.573398\pi\)
−0.228549 + 0.973533i \(0.573398\pi\)
\(588\) 10.7783 + 8.93470i 0.444488 + 0.368461i
\(589\) 29.2878 1.20678
\(590\) −3.51181 0.938205i −0.144579 0.0386253i
\(591\) −7.17636 3.45595i −0.295196 0.142159i
\(592\) −28.2619 + 8.80927i −1.16156 + 0.362059i
\(593\) −9.40102 + 19.5214i −0.386054 + 0.801649i 0.613871 + 0.789406i \(0.289611\pi\)
−0.999925 + 0.0122426i \(0.996103\pi\)
\(594\) −4.34988 3.73778i −0.178478 0.153363i
\(595\) −0.364939 + 0.617441i −0.0149611 + 0.0253126i
\(596\) 11.2895 4.45008i 0.462436 0.182282i
\(597\) −10.8128 13.5588i −0.442537 0.554924i
\(598\) −0.710121 + 0.826410i −0.0290390 + 0.0337944i
\(599\) −14.4887 11.5543i −0.591991 0.472097i 0.281084 0.959683i \(-0.409306\pi\)
−0.873075 + 0.487586i \(0.837878\pi\)
\(600\) −7.12583 4.45544i −0.290911 0.181893i
\(601\) −6.07987 4.84853i −0.248003 0.197776i 0.491596 0.870823i \(-0.336414\pi\)
−0.739599 + 0.673047i \(0.764985\pi\)
\(602\) −19.4713 + 6.60690i −0.793591 + 0.269277i
\(603\) 7.84867 6.25911i 0.319623 0.254891i
\(604\) 29.0752 + 8.92144i 1.18305 + 0.363008i
\(605\) −7.56277 1.72615i −0.307470 0.0701781i
\(606\) −6.72096 15.3736i −0.273020 0.624509i
\(607\) 41.5798 1.68767 0.843835 0.536602i \(-0.180293\pi\)
0.843835 + 0.536602i \(0.180293\pi\)
\(608\) −42.6111 + 11.5866i −1.72811 + 0.469899i
\(609\) 2.13747 3.61638i 0.0866145 0.146543i
\(610\) 8.26273 + 11.1783i 0.334548 + 0.452596i
\(611\) 0.377379 0.0861342i 0.0152671 0.00348462i
\(612\) 0.0278848 0.379629i 0.00112718 0.0153456i
\(613\) −12.0191 15.0715i −0.485447 0.608731i 0.477431 0.878669i \(-0.341568\pi\)
−0.962878 + 0.269939i \(0.912997\pi\)
\(614\) 7.68983 + 10.4032i 0.310336 + 0.419841i
\(615\) 0.704915 + 3.08843i 0.0284249 + 0.124538i
\(616\) −29.3756 + 7.61994i −1.18358 + 0.307016i
\(617\) −5.88122 + 25.7673i −0.236769 + 1.03735i 0.707121 + 0.707093i \(0.249994\pi\)
−0.943890 + 0.330260i \(0.892864\pi\)
\(618\) −13.7791 + 6.02389i −0.554277 + 0.242316i
\(619\) 9.71176 0.390348 0.195174 0.980769i \(-0.437473\pi\)
0.195174 + 0.980769i \(0.437473\pi\)
\(620\) 8.82177 6.03371i 0.354291 0.242320i
\(621\) −1.17390 2.43763i −0.0471070 0.0978187i
\(622\) 27.5798 + 14.5503i 1.10585 + 0.583413i
\(623\) 16.7503 17.6867i 0.671087 0.708603i
\(624\) 0.638880 0.943045i 0.0255757 0.0377520i
\(625\) 0.292618 1.28204i 0.0117047 0.0512817i
\(626\) −40.2283 10.7473i −1.60785 0.429548i
\(627\) 13.7355 + 28.5221i 0.548543 + 1.13906i
\(628\) −0.00639907 + 0.0871180i −0.000255351 + 0.00347639i
\(629\) −0.611149 + 1.26906i −0.0243681 + 0.0506009i
\(630\) −0.546493 5.30126i −0.0217728 0.211207i
\(631\) −1.23201 2.55829i −0.0490455 0.101844i 0.875006 0.484112i \(-0.160857\pi\)
−0.924051 + 0.382268i \(0.875143\pi\)
\(632\) 18.6769 + 18.5943i 0.742929 + 0.739640i
\(633\) 20.9442 4.78037i 0.832455 0.190002i
\(634\) −2.38380 0.0874307i −0.0946727 0.00347232i
\(635\) −2.89171 + 3.62609i −0.114754 + 0.143897i
\(636\) −16.8653 + 18.2305i −0.668754 + 0.722886i
\(637\) 1.84033 + 0.766020i 0.0729165 + 0.0303508i
\(638\) 3.64764 + 8.34366i 0.144412 + 0.330328i
\(639\) 9.82197 + 7.83276i 0.388551 + 0.309859i
\(640\) −10.4479 + 12.2685i −0.412989 + 0.484956i
\(641\) −8.86521 38.8410i −0.350155 1.53413i −0.776823 0.629719i \(-0.783170\pi\)
0.426668 0.904408i \(-0.359687\pi\)
\(642\) 0.127358 3.47241i 0.00502641 0.137045i
\(643\) −9.37133 + 4.51300i −0.369569 + 0.177975i −0.609445 0.792828i \(-0.708608\pi\)
0.239876 + 0.970804i \(0.422893\pi\)
\(644\) −14.1374 2.25735i −0.557092 0.0889521i
\(645\) 7.05204 + 3.39608i 0.277674 + 0.133721i
\(646\) −0.980412 + 1.85835i −0.0385738 + 0.0731160i
\(647\) 14.5023 6.98393i 0.570143 0.274567i −0.126521 0.991964i \(-0.540381\pi\)
0.696664 + 0.717397i \(0.254667\pi\)
\(648\) 1.51012 + 2.39155i 0.0593232 + 0.0939491i
\(649\) −7.13481 1.62847i −0.280066 0.0639231i
\(650\) −1.15607 0.308852i −0.0453447 0.0121142i
\(651\) −9.45515 3.02263i −0.370576 0.118466i
\(652\) −0.959651 + 13.0648i −0.0375828 + 0.511658i
\(653\) 43.6296 21.0109i 1.70736 0.822221i 0.714960 0.699165i \(-0.246445\pi\)
0.992400 0.123056i \(-0.0392694\pi\)
\(654\) −2.65769 13.9896i −0.103924 0.547036i
\(655\) 22.6553i 0.885215i
\(656\) −8.86954 + 0.691062i −0.346297 + 0.0269814i
\(657\) 11.9552 + 2.72870i 0.466417 + 0.106457i
\(658\) 3.56210 + 3.63025i 0.138865 + 0.141522i
\(659\) 9.58250 2.18714i 0.373281 0.0851990i −0.0317646 0.999495i \(-0.510113\pi\)
0.405046 + 0.914296i \(0.367256\pi\)
\(660\) 10.0132 + 5.76142i 0.389765 + 0.224263i
\(661\) −23.5610 + 18.7893i −0.916417 + 0.730818i −0.963397 0.268078i \(-0.913612\pi\)
0.0469806 + 0.998896i \(0.485040\pi\)
\(662\) 14.2099 26.9347i 0.552284 1.04685i
\(663\) −0.0120604 0.0528401i −0.000468388 0.00205214i
\(664\) −15.8889 1.75457i −0.616610 0.0680907i
\(665\) −8.95746 + 28.0200i −0.347355 + 1.08657i
\(666\) −1.95340 10.2824i −0.0756928 0.398433i
\(667\) 4.29580i 0.166334i
\(668\) −15.1580 + 16.3849i −0.586479 + 0.633951i
\(669\) −2.15388 + 9.43676i −0.0832738 + 0.364846i
\(670\) −13.1787 + 15.3369i −0.509139 + 0.592516i
\(671\) 17.4490 + 21.8804i 0.673613 + 0.844684i
\(672\) 14.9522 + 0.657092i 0.576794 + 0.0253479i
\(673\) −16.2393 + 20.3634i −0.625978 + 0.784952i −0.989172 0.146762i \(-0.953115\pi\)
0.363194 + 0.931714i \(0.381686\pi\)
\(674\) −3.15262 16.5948i −0.121435 0.639210i
\(675\) 1.85257 2.32305i 0.0713054 0.0894141i
\(676\) −7.57931 + 24.7011i −0.291512 + 0.950044i
\(677\) 21.4268 17.0873i 0.823499 0.656718i −0.118269 0.992982i \(-0.537735\pi\)
0.941768 + 0.336263i \(0.109163\pi\)
\(678\) 27.5917 + 1.01198i 1.05965 + 0.0388650i
\(679\) −2.34443 16.7107i −0.0899710 0.641299i
\(680\) 0.0875382 + 0.761735i 0.00335694 + 0.0292112i
\(681\) −24.3004 11.7025i −0.931195 0.448440i
\(682\) 17.3037 12.7905i 0.662593 0.489773i
\(683\) −14.3160 + 29.7276i −0.547788 + 1.13749i 0.424871 + 0.905254i \(0.360320\pi\)
−0.972659 + 0.232239i \(0.925395\pi\)
\(684\) −2.34972 15.4345i −0.0898438 0.590153i
\(685\) 12.9813i 0.495990i
\(686\) 4.09768 + 25.8691i 0.156450 + 0.987686i
\(687\) 18.9169i 0.721726i
\(688\) −12.3288 + 18.1984i −0.470031 + 0.693807i
\(689\) −1.53428 + 3.18597i −0.0584516 + 0.121376i
\(690\) 3.23946 + 4.38253i 0.123324 + 0.166840i
\(691\) −7.85280 3.78171i −0.298734 0.143863i 0.278512 0.960433i \(-0.410159\pi\)
−0.577247 + 0.816570i \(0.695873\pi\)
\(692\) −20.5738 6.31288i −0.782099 0.239980i
\(693\) −1.49071 10.6255i −0.0566273 0.403630i
\(694\) −0.888444 + 24.2234i −0.0337249 + 0.919508i
\(695\) 19.8193 15.8054i 0.751789 0.599531i
\(696\) −0.512715 4.46151i −0.0194344 0.169113i
\(697\) −0.263926 + 0.330953i −0.00999691 + 0.0125357i
\(698\) −26.7757 + 5.08674i −1.01348 + 0.192536i
\(699\) 9.12785 11.4460i 0.345247 0.432926i
\(700\) −4.50289 15.0640i −0.170193 0.569365i
\(701\) 22.6571 + 28.4111i 0.855747 + 1.07307i 0.996547 + 0.0830345i \(0.0264612\pi\)
−0.140800 + 0.990038i \(0.544967\pi\)
\(702\) 0.305448 + 0.262467i 0.0115284 + 0.00990617i
\(703\) −12.8554 + 56.3231i −0.484850 + 2.12427i
\(704\) −20.1153 + 25.4546i −0.758123 + 0.959356i
\(705\) 1.93607i 0.0729166i
\(706\) 26.1282 4.96373i 0.983347 0.186812i
\(707\) 9.55818 29.8991i 0.359472 1.12447i
\(708\) 3.12829 + 1.79996i 0.117568 + 0.0676465i
\(709\) 0.829921 + 3.63612i 0.0311683 + 0.136557i 0.988118 0.153696i \(-0.0491176\pi\)
−0.956950 + 0.290253i \(0.906260\pi\)
\(710\) −22.3815 11.8078i −0.839963 0.443139i
\(711\) −7.28497 + 5.80957i −0.273208 + 0.217876i
\(712\) 2.85833 25.8842i 0.107120 0.970052i
\(713\) 9.89644 2.25880i 0.370625 0.0845926i
\(714\) 0.508303 0.498761i 0.0190228 0.0186656i
\(715\) 1.60365 + 0.366023i 0.0599732 + 0.0136885i
\(716\) 25.6046 + 23.6872i 0.956889 + 0.885234i
\(717\) 11.3711i 0.424661i
\(718\) 34.8825 6.62684i 1.30180 0.247311i
\(719\) 6.63579 3.19563i 0.247473 0.119177i −0.306036 0.952020i \(-0.599003\pi\)
0.553509 + 0.832843i \(0.313288\pi\)
\(720\) −3.88749 4.16495i −0.144878 0.155219i
\(721\) −26.7981 8.56685i −0.998013 0.319046i
\(722\) −15.3074 + 57.2973i −0.569681 + 2.13238i
\(723\) 1.86855 + 0.426484i 0.0694921 + 0.0158611i
\(724\) 14.6698 2.23331i 0.545200 0.0830003i
\(725\) −4.25050 + 2.04694i −0.157860 + 0.0760213i
\(726\) 6.81227 + 3.59395i 0.252827 + 0.133384i
\(727\) −32.9993 15.8916i −1.22387 0.589387i −0.293487 0.955963i \(-0.594816\pi\)
−0.930388 + 0.366576i \(0.880530\pi\)
\(728\) 2.06275 0.535071i 0.0764507 0.0198311i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −24.6841 0.905341i −0.913601 0.0335082i
\(731\) 0.232736 + 1.01968i 0.00860804 + 0.0377143i
\(732\) −5.06139 12.8403i −0.187074 0.474593i
\(733\) −34.2315 27.2987i −1.26437 1.00830i −0.999025 0.0441464i \(-0.985943\pi\)
−0.265344 0.964154i \(-0.585485\pi\)
\(734\) −10.2115 + 4.46420i −0.376912 + 0.164777i
\(735\) 5.78358 8.12140i 0.213330 0.299562i
\(736\) −13.5048 + 7.20151i −0.497795 + 0.265451i
\(737\) −25.3832 + 31.8295i −0.935001 + 1.17245i
\(738\) 0.115285 3.14325i 0.00424370 0.115705i
\(739\) −3.12976 + 0.714347i −0.115130 + 0.0262777i −0.279698 0.960088i \(-0.590234\pi\)
0.164568 + 0.986366i \(0.447377\pi\)
\(740\) 7.73122 + 19.6135i 0.284205 + 0.721006i
\(741\) −0.964506 2.00282i −0.0354320 0.0735753i
\(742\) −46.2176 + 4.76445i −1.69670 + 0.174909i
\(743\) −14.6026 + 30.3227i −0.535719 + 1.11243i 0.440921 + 0.897546i \(0.354652\pi\)
−0.976639 + 0.214885i \(0.931062\pi\)
\(744\) −10.0086 + 3.52710i −0.366933 + 0.129310i
\(745\) −3.74965 7.78623i −0.137376 0.285265i
\(746\) 8.25099 30.8844i 0.302090 1.13076i
\(747\) 1.25763 5.51003i 0.0460142 0.201602i
\(748\) 0.232332 + 1.52611i 0.00849491 + 0.0558001i
\(749\) 4.47001 4.71991i 0.163331 0.172462i
\(750\) −7.49225 + 14.2014i −0.273578 + 0.518563i
\(751\) −10.8932 22.6199i −0.397498 0.825413i −0.999635 0.0270203i \(-0.991398\pi\)
0.602137 0.798393i \(-0.294316\pi\)
\(752\) 5.37879 + 0.794462i 0.196144 + 0.0289710i
\(753\) 11.8057 0.430225
\(754\) −0.256137 0.585891i −0.00932797 0.0213369i
\(755\) 4.81961 21.1161i 0.175404 0.768493i
\(756\) −0.834336 + 5.22531i −0.0303445 + 0.190043i
\(757\) 0.475181 + 2.08190i 0.0172708 + 0.0756681i 0.982829 0.184519i \(-0.0590728\pi\)
−0.965558 + 0.260187i \(0.916216\pi\)
\(758\) 43.3427 32.0379i 1.57428 1.16367i
\(759\) 6.84102 + 8.57837i 0.248313 + 0.311375i
\(760\) 10.4524 + 29.6601i 0.379149 + 1.07589i
\(761\) −43.4291 + 9.91242i −1.57430 + 0.359325i −0.918442 0.395556i \(-0.870552\pi\)
−0.655863 + 0.754880i \(0.727695\pi\)
\(762\) 3.70315 2.73728i 0.134151 0.0991613i
\(763\) 13.5551 22.9339i 0.490727 0.830262i
\(764\) 10.3514 7.07990i 0.374500 0.256142i
\(765\) −0.271086 −0.00980115
\(766\) 10.5449 4.60997i 0.381002 0.166565i
\(767\) 0.501005 + 0.114351i 0.0180903 + 0.00412898i
\(768\) 13.1663 9.09115i 0.475097 0.328049i
\(769\) −6.72759 + 5.36508i −0.242603 + 0.193470i −0.737241 0.675629i \(-0.763872\pi\)
0.494638 + 0.869099i \(0.335301\pi\)
\(770\) 6.94459 + 20.4665i 0.250266 + 0.737563i
\(771\) 20.5934 + 16.4227i 0.741654 + 0.591450i