Properties

Label 546.2.bg.a.311.3
Level $546$
Weight $2$
Character 546.311
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bg (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.3
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.a.467.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.62062 + 0.611211i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.0759308 - 0.0438386i) q^{5} +(1.33964 + 1.09790i) q^{6} +(-2.62099 - 0.361112i) q^{7} +1.00000 q^{8} +(2.25284 - 1.98109i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-1.62062 + 0.611211i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.0759308 - 0.0438386i) q^{5} +(1.33964 + 1.09790i) q^{6} +(-2.62099 - 0.361112i) q^{7} +1.00000 q^{8} +(2.25284 - 1.98109i) q^{9} +(-0.0759308 - 0.0438386i) q^{10} +(2.83131 - 4.90398i) q^{11} +(0.280988 - 1.70911i) q^{12} +(-2.43301 + 2.66091i) q^{13} +(0.997764 + 2.45040i) q^{14} +(-0.0962606 + 0.117456i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.33566 + 2.31343i) q^{17} +(-2.84209 - 0.960476i) q^{18} +(3.32692 + 5.76239i) q^{19} +0.0876773i q^{20} +(4.46836 - 1.01675i) q^{21} -5.66263 q^{22} +(-1.06303 + 0.613739i) q^{23} +(-1.62062 + 0.611211i) q^{24} +(-2.49616 + 4.32347i) q^{25} +(3.52092 + 0.776597i) q^{26} +(-2.44015 + 4.58756i) q^{27} +(1.62323 - 2.08929i) q^{28} +5.84765i q^{29} +(0.149850 + 0.0246363i) q^{30} +(-0.441909 + 0.765409i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-1.59113 + 9.67803i) q^{33} +2.67132 q^{34} +(-0.214845 + 0.0874812i) q^{35} +(0.589249 + 2.94156i) q^{36} +(0.456219 - 0.263398i) q^{37} +(3.32692 - 5.76239i) q^{38} +(2.31662 - 5.79942i) q^{39} +(0.0759308 - 0.0438386i) q^{40} +8.99352i q^{41} +(-3.11471 - 3.36134i) q^{42} -9.69720 q^{43} +(2.83131 + 4.90398i) q^{44} +(0.0842120 - 0.249187i) q^{45} +(1.06303 + 0.613739i) q^{46} +(7.45201 - 4.30242i) q^{47} +(1.33964 + 1.09790i) q^{48} +(6.73920 + 1.89294i) q^{49} +4.99231 q^{50} +(0.750608 - 4.56557i) q^{51} +(-1.08791 - 3.43751i) q^{52} +(12.1291 + 7.00275i) q^{53} +(5.19301 - 0.180546i) q^{54} -0.496484i q^{55} +(-2.62099 - 0.361112i) q^{56} +(-8.91371 - 7.30522i) q^{57} +(5.06421 - 2.92382i) q^{58} +(-3.11423 - 1.79800i) q^{59} +(-0.0535893 - 0.142092i) q^{60} +(2.01240 - 1.16186i) q^{61} +0.883818 q^{62} +(-6.62008 + 4.37888i) q^{63} +1.00000 q^{64} +(-0.0680900 + 0.308705i) q^{65} +(9.17699 - 3.46106i) q^{66} +(-6.54039 - 3.77610i) q^{67} +(-1.33566 - 2.31343i) q^{68} +(1.34764 - 1.64437i) q^{69} +(0.183183 + 0.142320i) q^{70} -2.65797 q^{71} +(2.25284 - 1.98109i) q^{72} +(-4.11174 + 7.12173i) q^{73} +(-0.456219 - 0.263398i) q^{74} +(1.40278 - 8.53240i) q^{75} -6.65383 q^{76} +(-9.19173 + 11.8309i) q^{77} +(-6.18076 + 0.893454i) q^{78} +(7.19370 + 12.4599i) q^{79} +(-0.0759308 - 0.0438386i) q^{80} +(1.15060 - 8.92615i) q^{81} +(7.78862 - 4.49676i) q^{82} -2.86138i q^{83} +(-1.35365 + 4.37809i) q^{84} +0.234214i q^{85} +(4.84860 + 8.39803i) q^{86} +(-3.57414 - 9.47684i) q^{87} +(2.83131 - 4.90398i) q^{88} +(-2.93597 + 1.69508i) q^{89} +(-0.257908 + 0.0516637i) q^{90} +(7.33780 - 6.09563i) q^{91} -1.22748i q^{92} +(0.248342 - 1.51054i) q^{93} +(-7.45201 - 4.30242i) q^{94} +(0.505231 + 0.291695i) q^{95} +(0.280988 - 1.70911i) q^{96} -10.4779 q^{97} +(-1.73026 - 6.78279i) q^{98} +(-3.33670 - 16.6570i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} - 14q^{15} - 18q^{16} + 4q^{18} + 23q^{21} + 14q^{25} - 6q^{26} + 7q^{30} - 18q^{32} + 24q^{33} - 8q^{36} - 10q^{39} - 16q^{42} - 16q^{43} - 9q^{45} + 72q^{47} + 12q^{49} - 28q^{50} - 3q^{51} + 6q^{52} + 9q^{54} - 8q^{57} + 24q^{59} + 7q^{60} - 36q^{61} - 39q^{63} + 36q^{64} + 18q^{65} - 24q^{66} - 72q^{71} + 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} - 7q^{84} + 8q^{86} - 24q^{87} - 72q^{89} - 2q^{91} - 14q^{93} - 72q^{94} - 12q^{98} + 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −1.62062 + 0.611211i −0.935668 + 0.352883i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.0759308 0.0438386i 0.0339573 0.0196052i −0.482925 0.875662i \(-0.660426\pi\)
0.516883 + 0.856056i \(0.327092\pi\)
\(6\) 1.33964 + 1.09790i 0.546904 + 0.448214i
\(7\) −2.62099 0.361112i −0.990642 0.136488i
\(8\) 1.00000 0.353553
\(9\) 2.25284 1.98109i 0.750948 0.660362i
\(10\) −0.0759308 0.0438386i −0.0240114 0.0138630i
\(11\) 2.83131 4.90398i 0.853673 1.47860i −0.0241978 0.999707i \(-0.507703\pi\)
0.877871 0.478898i \(-0.158964\pi\)
\(12\) 0.280988 1.70911i 0.0811142 0.493377i
\(13\) −2.43301 + 2.66091i −0.674797 + 0.738004i
\(14\) 0.997764 + 2.45040i 0.266664 + 0.654897i
\(15\) −0.0962606 + 0.117456i −0.0248544 + 0.0303269i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −1.33566 + 2.31343i −0.323945 + 0.561089i −0.981298 0.192493i \(-0.938343\pi\)
0.657353 + 0.753583i \(0.271676\pi\)
\(18\) −2.84209 0.960476i −0.669887 0.226386i
\(19\) 3.32692 + 5.76239i 0.763247 + 1.32198i 0.941168 + 0.337938i \(0.109729\pi\)
−0.177921 + 0.984045i \(0.556937\pi\)
\(20\) 0.0876773i 0.0196052i
\(21\) 4.46836 1.01675i 0.975075 0.221873i
\(22\) −5.66263 −1.20728
\(23\) −1.06303 + 0.613739i −0.221656 + 0.127973i −0.606717 0.794918i \(-0.707514\pi\)
0.385061 + 0.922891i \(0.374181\pi\)
\(24\) −1.62062 + 0.611211i −0.330808 + 0.124763i
\(25\) −2.49616 + 4.32347i −0.499231 + 0.864694i
\(26\) 3.52092 + 0.776597i 0.690510 + 0.152303i
\(27\) −2.44015 + 4.58756i −0.469607 + 0.882876i
\(28\) 1.62323 2.08929i 0.306761 0.394839i
\(29\) 5.84765i 1.08588i 0.839771 + 0.542940i \(0.182689\pi\)
−0.839771 + 0.542940i \(0.817311\pi\)
\(30\) 0.149850 + 0.0246363i 0.0273587 + 0.00449794i
\(31\) −0.441909 + 0.765409i −0.0793692 + 0.137471i −0.902978 0.429687i \(-0.858624\pi\)
0.823609 + 0.567158i \(0.191957\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) −1.59113 + 9.67803i −0.276980 + 1.68473i
\(34\) 2.67132 0.458127
\(35\) −0.214845 + 0.0874812i −0.0363154 + 0.0147870i
\(36\) 0.589249 + 2.94156i 0.0982081 + 0.490260i
\(37\) 0.456219 0.263398i 0.0750019 0.0433024i −0.462030 0.886864i \(-0.652879\pi\)
0.537032 + 0.843562i \(0.319545\pi\)
\(38\) 3.32692 5.76239i 0.539697 0.934783i
\(39\) 2.31662 5.79942i 0.370957 0.928650i
\(40\) 0.0759308 0.0438386i 0.0120057 0.00693150i
\(41\) 8.99352i 1.40455i 0.711905 + 0.702276i \(0.247833\pi\)
−0.711905 + 0.702276i \(0.752167\pi\)
\(42\) −3.11471 3.36134i −0.480610 0.518665i
\(43\) −9.69720 −1.47881 −0.739405 0.673261i \(-0.764893\pi\)
−0.739405 + 0.673261i \(0.764893\pi\)
\(44\) 2.83131 + 4.90398i 0.426836 + 0.739302i
\(45\) 0.0842120 0.249187i 0.0125536 0.0371466i
\(46\) 1.06303 + 0.613739i 0.156735 + 0.0904909i
\(47\) 7.45201 4.30242i 1.08699 0.627572i 0.154215 0.988037i \(-0.450715\pi\)
0.932773 + 0.360465i \(0.117382\pi\)
\(48\) 1.33964 + 1.09790i 0.193360 + 0.158468i
\(49\) 6.73920 + 1.89294i 0.962742 + 0.270420i
\(50\) 4.99231 0.706020
\(51\) 0.750608 4.56557i 0.105106 0.639307i
\(52\) −1.08791 3.43751i −0.150866 0.476696i
\(53\) 12.1291 + 7.00275i 1.66606 + 0.961902i 0.969729 + 0.244184i \(0.0785201\pi\)
0.696334 + 0.717718i \(0.254813\pi\)
\(54\) 5.19301 0.180546i 0.706680 0.0245692i
\(55\) 0.496484i 0.0669458i
\(56\) −2.62099 0.361112i −0.350245 0.0482556i
\(57\) −8.91371 7.30522i −1.18065 0.967600i
\(58\) 5.06421 2.92382i 0.664963 0.383917i
\(59\) −3.11423 1.79800i −0.405438 0.234080i 0.283390 0.959005i \(-0.408541\pi\)
−0.688828 + 0.724925i \(0.741874\pi\)
\(60\) −0.0535893 0.142092i −0.00691835 0.0183440i
\(61\) 2.01240 1.16186i 0.257661 0.148761i −0.365606 0.930770i \(-0.619138\pi\)
0.623267 + 0.782009i \(0.285805\pi\)
\(62\) 0.883818 0.112245
\(63\) −6.62008 + 4.37888i −0.834051 + 0.551687i
\(64\) 1.00000 0.125000
\(65\) −0.0680900 + 0.308705i −0.00844552 + 0.0382901i
\(66\) 9.17699 3.46106i 1.12961 0.426027i
\(67\) −6.54039 3.77610i −0.799036 0.461324i 0.0440981 0.999027i \(-0.485959\pi\)
−0.843134 + 0.537704i \(0.819292\pi\)
\(68\) −1.33566 2.31343i −0.161972 0.280545i
\(69\) 1.34764 1.64437i 0.162237 0.197959i
\(70\) 0.183183 + 0.142320i 0.0218946 + 0.0170105i
\(71\) −2.65797 −0.315443 −0.157722 0.987484i \(-0.550415\pi\)
−0.157722 + 0.987484i \(0.550415\pi\)
\(72\) 2.25284 1.98109i 0.265500 0.233473i
\(73\) −4.11174 + 7.12173i −0.481242 + 0.833536i −0.999768 0.0215258i \(-0.993148\pi\)
0.518526 + 0.855062i \(0.326481\pi\)
\(74\) −0.456219 0.263398i −0.0530343 0.0306194i
\(75\) 1.40278 8.53240i 0.161979 0.985236i
\(76\) −6.65383 −0.763247
\(77\) −9.19173 + 11.8309i −1.04750 + 1.34825i
\(78\) −6.18076 + 0.893454i −0.699833 + 0.101164i
\(79\) 7.19370 + 12.4599i 0.809355 + 1.40184i 0.913312 + 0.407261i \(0.133516\pi\)
−0.103957 + 0.994582i \(0.533150\pi\)
\(80\) −0.0759308 0.0438386i −0.00848932 0.00490131i
\(81\) 1.15060 8.92615i 0.127845 0.991794i
\(82\) 7.78862 4.49676i 0.860109 0.496584i
\(83\) 2.86138i 0.314077i −0.987592 0.157039i \(-0.949805\pi\)
0.987592 0.157039i \(-0.0501947\pi\)
\(84\) −1.35365 + 4.37809i −0.147695 + 0.477688i
\(85\) 0.234214i 0.0254041i
\(86\) 4.84860 + 8.39803i 0.522838 + 0.905582i
\(87\) −3.57414 9.47684i −0.383189 1.01602i
\(88\) 2.83131 4.90398i 0.301819 0.522766i
\(89\) −2.93597 + 1.69508i −0.311212 + 0.179678i −0.647469 0.762092i \(-0.724172\pi\)
0.336257 + 0.941770i \(0.390839\pi\)
\(90\) −0.257908 + 0.0516637i −0.0271859 + 0.00544584i
\(91\) 7.33780 6.09563i 0.769210 0.638996i
\(92\) 1.22748i 0.127973i
\(93\) 0.248342 1.51054i 0.0257519 0.156636i
\(94\) −7.45201 4.30242i −0.768616 0.443761i
\(95\) 0.505231 + 0.291695i 0.0518356 + 0.0299273i
\(96\) 0.280988 1.70911i 0.0286782 0.174435i
\(97\) −10.4779 −1.06387 −0.531934 0.846786i \(-0.678535\pi\)
−0.531934 + 0.846786i \(0.678535\pi\)
\(98\) −1.73026 6.78279i −0.174783 0.685165i
\(99\) −3.33670 16.6570i −0.335350 1.67409i
\(100\) −2.49616 4.32347i −0.249616 0.432347i
\(101\) −1.67265 + 2.89711i −0.166435 + 0.288273i −0.937164 0.348890i \(-0.886559\pi\)
0.770729 + 0.637163i \(0.219892\pi\)
\(102\) −4.32920 + 1.63274i −0.428655 + 0.161665i
\(103\) 10.7681 6.21697i 1.06101 0.612577i 0.135301 0.990804i \(-0.456800\pi\)
0.925713 + 0.378228i \(0.123466\pi\)
\(104\) −2.43301 + 2.66091i −0.238577 + 0.260924i
\(105\) 0.294713 0.273089i 0.0287610 0.0266508i
\(106\) 14.0055i 1.36033i
\(107\) −2.33402 + 1.34755i −0.225639 + 0.130272i −0.608558 0.793509i \(-0.708252\pi\)
0.382920 + 0.923782i \(0.374919\pi\)
\(108\) −2.75286 4.40701i −0.264895 0.424065i
\(109\) 6.64244 + 3.83502i 0.636231 + 0.367328i 0.783161 0.621819i \(-0.213606\pi\)
−0.146930 + 0.989147i \(0.546939\pi\)
\(110\) −0.429968 + 0.248242i −0.0409958 + 0.0236689i
\(111\) −0.578367 + 0.705715i −0.0548962 + 0.0669835i
\(112\) 0.997764 + 2.45040i 0.0942798 + 0.231541i
\(113\) 7.92944i 0.745939i −0.927844 0.372970i \(-0.878340\pi\)
0.927844 0.372970i \(-0.121660\pi\)
\(114\) −1.86965 + 11.3721i −0.175108 + 1.06510i
\(115\) −0.0538110 + 0.0932033i −0.00501790 + 0.00869126i
\(116\) −5.06421 2.92382i −0.470200 0.271470i
\(117\) −0.209709 + 10.8146i −0.0193876 + 0.999812i
\(118\) 3.59600i 0.331039i
\(119\) 4.33616 5.58116i 0.397495 0.511624i
\(120\) −0.0962606 + 0.117456i −0.00878735 + 0.0107222i
\(121\) −10.5327 18.2431i −0.957515 1.65846i
\(122\) −2.01240 1.16186i −0.182194 0.105190i
\(123\) −5.49694 14.5751i −0.495642 1.31419i
\(124\) −0.441909 0.765409i −0.0396846 0.0687357i
\(125\) 0.876099i 0.0783607i
\(126\) 7.10226 + 3.54371i 0.632720 + 0.315699i
\(127\) 4.80829 0.426667 0.213334 0.976979i \(-0.431568\pi\)
0.213334 + 0.976979i \(0.431568\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) 15.7155 5.92704i 1.38367 0.521846i
\(130\) 0.301391 0.0953849i 0.0264338 0.00836581i
\(131\) −9.89815 17.1441i −0.864805 1.49789i −0.867240 0.497890i \(-0.834108\pi\)
0.00243479 0.999997i \(-0.499225\pi\)
\(132\) −7.58586 6.21697i −0.660264 0.541118i
\(133\) −6.63895 16.3046i −0.575670 1.41379i
\(134\) 7.55219i 0.652410i
\(135\) 0.0158298 + 0.455310i 0.00136241 + 0.0391868i
\(136\) −1.33566 + 2.31343i −0.114532 + 0.198375i
\(137\) −6.29121 + 10.8967i −0.537495 + 0.930968i 0.461543 + 0.887118i \(0.347296\pi\)
−0.999038 + 0.0438504i \(0.986037\pi\)
\(138\) −2.09789 0.344906i −0.178584 0.0293604i
\(139\) 19.6014i 1.66257i 0.555848 + 0.831284i \(0.312394\pi\)
−0.555848 + 0.831284i \(0.687606\pi\)
\(140\) 0.0316613 0.229801i 0.00267587 0.0194218i
\(141\) −9.44722 + 11.5274i −0.795599 + 0.970778i
\(142\) 1.32899 + 2.30187i 0.111526 + 0.193169i
\(143\) 6.16042 + 19.4653i 0.515160 + 1.62777i
\(144\) −2.84209 0.960476i −0.236841 0.0800397i
\(145\) 0.256353 + 0.444016i 0.0212890 + 0.0368735i
\(146\) 8.22347 0.680579
\(147\) −12.0787 + 1.05132i −0.996233 + 0.0867114i
\(148\) 0.526796i 0.0433024i
\(149\) −6.40667 11.0967i −0.524855 0.909076i −0.999581 0.0289419i \(-0.990786\pi\)
0.474726 0.880134i \(-0.342547\pi\)
\(150\) −8.09066 + 3.05136i −0.660600 + 0.249142i
\(151\) −3.56296 2.05707i −0.289949 0.167402i 0.347970 0.937506i \(-0.386871\pi\)
−0.637919 + 0.770104i \(0.720205\pi\)
\(152\) 3.32692 + 5.76239i 0.269849 + 0.467391i
\(153\) 1.57407 + 7.85785i 0.127256 + 0.635269i
\(154\) 14.8417 + 2.04484i 1.19598 + 0.164778i
\(155\) 0.0774908i 0.00622421i
\(156\) 3.86413 + 4.90596i 0.309378 + 0.392792i
\(157\) 16.7506 + 9.67095i 1.33684 + 0.771826i 0.986338 0.164736i \(-0.0526771\pi\)
0.350504 + 0.936561i \(0.386010\pi\)
\(158\) 7.19370 12.4599i 0.572300 0.991253i
\(159\) −23.9369 3.93538i −1.89832 0.312096i
\(160\) 0.0876773i 0.00693150i
\(161\) 3.00781 1.22473i 0.237049 0.0965225i
\(162\) −8.30557 + 3.46662i −0.652547 + 0.272364i
\(163\) −15.2764 + 8.81983i −1.19654 + 0.690823i −0.959782 0.280746i \(-0.909418\pi\)
−0.236758 + 0.971569i \(0.576085\pi\)
\(164\) −7.78862 4.49676i −0.608189 0.351138i
\(165\) 0.303456 + 0.804613i 0.0236240 + 0.0626391i
\(166\) −2.47803 + 1.43069i −0.192332 + 0.111043i
\(167\) 15.5348i 1.20212i 0.799205 + 0.601058i \(0.205254\pi\)
−0.799205 + 0.601058i \(0.794746\pi\)
\(168\) 4.46836 1.01675i 0.344741 0.0784441i
\(169\) −1.16088 12.9481i −0.0892987 0.996005i
\(170\) 0.202835 0.117107i 0.0155568 0.00898170i
\(171\) 18.9108 + 6.39085i 1.44615 + 0.488721i
\(172\) 4.84860 8.39803i 0.369702 0.640343i
\(173\) −8.15099 14.1179i −0.619708 1.07337i −0.989539 0.144267i \(-0.953918\pi\)
0.369831 0.929099i \(-0.379416\pi\)
\(174\) −6.42011 + 7.83372i −0.486707 + 0.593873i
\(175\) 8.10366 10.4304i 0.612579 0.788463i
\(176\) −5.66263 −0.426836
\(177\) 6.14595 + 1.01043i 0.461958 + 0.0759488i
\(178\) 2.93597 + 1.69508i 0.220060 + 0.127052i
\(179\) −7.78809 4.49646i −0.582109 0.336081i 0.179862 0.983692i \(-0.442435\pi\)
−0.761971 + 0.647611i \(0.775768\pi\)
\(180\) 0.173696 + 0.197523i 0.0129466 + 0.0147225i
\(181\) 7.10802i 0.528335i 0.964477 + 0.264167i \(0.0850972\pi\)
−0.964477 + 0.264167i \(0.914903\pi\)
\(182\) −8.94787 3.30690i −0.663260 0.245124i
\(183\) −2.55120 + 3.11293i −0.188590 + 0.230115i
\(184\) −1.06303 + 0.613739i −0.0783674 + 0.0452454i
\(185\) 0.0230940 0.0400000i 0.00169791 0.00294086i
\(186\) −1.43234 + 0.540199i −0.105024 + 0.0396093i
\(187\) 7.56334 + 13.1001i 0.553086 + 0.957973i
\(188\) 8.60484i 0.627572i
\(189\) 8.05223 11.1428i 0.585714 0.810518i
\(190\) 0.583390i 0.0423236i
\(191\) 12.3294 7.11841i 0.892127 0.515070i 0.0174894 0.999847i \(-0.494433\pi\)
0.874638 + 0.484777i \(0.161099\pi\)
\(192\) −1.62062 + 0.611211i −0.116958 + 0.0441103i
\(193\) 12.9152 + 7.45659i 0.929656 + 0.536737i 0.886703 0.462340i \(-0.152990\pi\)
0.0429533 + 0.999077i \(0.486323\pi\)
\(194\) 5.23894 + 9.07411i 0.376134 + 0.651483i
\(195\) −0.0783356 0.541912i −0.00560973 0.0388071i
\(196\) −5.00894 + 4.88984i −0.357781 + 0.349275i
\(197\) −5.59743 −0.398800 −0.199400 0.979918i \(-0.563899\pi\)
−0.199400 + 0.979918i \(0.563899\pi\)
\(198\) −12.7570 + 11.2181i −0.906601 + 0.797239i
\(199\) 0.509204 + 0.293989i 0.0360965 + 0.0208403i 0.517940 0.855417i \(-0.326699\pi\)
−0.481843 + 0.876257i \(0.660032\pi\)
\(200\) −2.49616 + 4.32347i −0.176505 + 0.305715i
\(201\) 12.9075 + 2.12207i 0.910425 + 0.149680i
\(202\) 3.34530 0.235374
\(203\) 2.11166 15.3266i 0.148209 1.07572i
\(204\) 3.57859 + 2.93283i 0.250552 + 0.205339i
\(205\) 0.394264 + 0.682885i 0.0275366 + 0.0476948i
\(206\) −10.7681 6.21697i −0.750250 0.433157i
\(207\) −1.17896 + 3.48860i −0.0819436 + 0.242475i
\(208\) 3.52092 + 0.776597i 0.244132 + 0.0538473i
\(209\) 37.6782 2.60625
\(210\) −0.383859 0.118684i −0.0264888 0.00818998i
\(211\) −16.2218 −1.11676 −0.558379 0.829586i \(-0.688577\pi\)
−0.558379 + 0.829586i \(0.688577\pi\)
\(212\) −12.1291 + 7.00275i −0.833031 + 0.480951i
\(213\) 4.30757 1.62458i 0.295150 0.111314i
\(214\) 2.33402 + 1.34755i 0.159551 + 0.0921166i
\(215\) −0.736316 + 0.425112i −0.0502163 + 0.0289924i
\(216\) −2.44015 + 4.58756i −0.166031 + 0.312144i
\(217\) 1.43464 1.84655i 0.0973896 0.125352i
\(218\) 7.67003i 0.519480i
\(219\) 2.31070 14.0548i 0.156142 0.949735i
\(220\) 0.429968 + 0.248242i 0.0289884 + 0.0167365i
\(221\) −2.90615 9.18268i −0.195489 0.617694i
\(222\) 0.900351 + 0.148023i 0.0604276 + 0.00993467i
\(223\) 18.4233 1.23371 0.616856 0.787076i \(-0.288406\pi\)
0.616856 + 0.787076i \(0.288406\pi\)
\(224\) 1.62323 2.08929i 0.108456 0.139597i
\(225\) 2.94171 + 14.6852i 0.196114 + 0.979013i
\(226\) −6.86710 + 3.96472i −0.456793 + 0.263729i
\(227\) −3.73888 2.15864i −0.248158 0.143274i 0.370762 0.928728i \(-0.379096\pi\)
−0.618921 + 0.785454i \(0.712430\pi\)
\(228\) 10.7834 4.06689i 0.714146 0.269337i
\(229\) −6.51189 11.2789i −0.430317 0.745332i 0.566583 0.824005i \(-0.308265\pi\)
−0.996900 + 0.0786729i \(0.974932\pi\)
\(230\) 0.107622 0.00709638
\(231\) 7.66519 24.7915i 0.504332 1.63116i
\(232\) 5.84765i 0.383917i
\(233\) 14.2073 8.20260i 0.930753 0.537370i 0.0437031 0.999045i \(-0.486084\pi\)
0.887050 + 0.461674i \(0.152751\pi\)
\(234\) 9.47059 5.22570i 0.619112 0.341614i
\(235\) 0.377225 0.653372i 0.0246074 0.0426213i
\(236\) 3.11423 1.79800i 0.202719 0.117040i
\(237\) −19.2739 15.7959i −1.25197 1.02605i
\(238\) −7.00150 0.964645i −0.453840 0.0625287i
\(239\) 15.3927 0.995673 0.497836 0.867271i \(-0.334128\pi\)
0.497836 + 0.867271i \(0.334128\pi\)
\(240\) 0.149850 + 0.0246363i 0.00967277 + 0.00159026i
\(241\) −3.89705 + 6.74990i −0.251031 + 0.434799i −0.963810 0.266590i \(-0.914103\pi\)
0.712779 + 0.701389i \(0.247436\pi\)
\(242\) −10.5327 + 18.2431i −0.677065 + 1.17271i
\(243\) 3.59106 + 15.1692i 0.230367 + 0.973104i
\(244\) 2.32372i 0.148761i
\(245\) 0.594696 0.151705i 0.0379938 0.00969205i
\(246\) −9.87395 + 12.0480i −0.629540 + 0.768155i
\(247\) −23.4276 5.16735i −1.49066 0.328791i
\(248\) −0.441909 + 0.765409i −0.0280613 + 0.0486035i
\(249\) 1.74891 + 4.63722i 0.110832 + 0.293872i
\(250\) 0.758724 0.438049i 0.0479859 0.0277047i
\(251\) −7.91930 −0.499862 −0.249931 0.968264i \(-0.580408\pi\)
−0.249931 + 0.968264i \(0.580408\pi\)
\(252\) −0.482183 7.92259i −0.0303747 0.499077i
\(253\) 6.95075i 0.436990i
\(254\) −2.40415 4.16411i −0.150850 0.261279i
\(255\) −0.143154 0.379573i −0.00896466 0.0237698i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 4.92741 + 8.53452i 0.307363 + 0.532369i 0.977785 0.209612i \(-0.0672200\pi\)
−0.670421 + 0.741981i \(0.733887\pi\)
\(258\) −12.9907 10.6465i −0.808767 0.662823i
\(259\) −1.29086 + 0.525618i −0.0802102 + 0.0326603i
\(260\) −0.233301 0.213320i −0.0144687 0.0132296i
\(261\) 11.5847 + 13.1738i 0.717074 + 0.815440i
\(262\) −9.89815 + 17.1441i −0.611510 + 1.05917i
\(263\) 20.2604 + 11.6974i 1.24931 + 0.721290i 0.970972 0.239192i \(-0.0768826\pi\)
0.278340 + 0.960483i \(0.410216\pi\)
\(264\) −1.59113 + 9.67803i −0.0979272 + 0.595642i
\(265\) 1.22796 0.0754333
\(266\) −10.8007 + 13.9018i −0.662233 + 0.852373i
\(267\) 3.72205 4.54159i 0.227786 0.277941i
\(268\) 6.54039 3.77610i 0.399518 0.230662i
\(269\) −0.859882 + 1.48936i −0.0524279 + 0.0908078i −0.891048 0.453908i \(-0.850029\pi\)
0.838620 + 0.544716i \(0.183363\pi\)
\(270\) 0.386395 0.241364i 0.0235152 0.0146889i
\(271\) −8.00242 13.8606i −0.486113 0.841972i 0.513760 0.857934i \(-0.328252\pi\)
−0.999873 + 0.0159623i \(0.994919\pi\)
\(272\) 2.67132 0.161972
\(273\) −8.16609 + 14.3637i −0.494234 + 0.869329i
\(274\) 12.5824 0.760132
\(275\) 14.1348 + 24.4822i 0.852360 + 1.47633i
\(276\) 0.750248 + 1.98928i 0.0451596 + 0.119741i
\(277\) 6.12127 10.6023i 0.367791 0.637033i −0.621429 0.783471i \(-0.713447\pi\)
0.989220 + 0.146438i \(0.0467808\pi\)
\(278\) 16.9753 9.80069i 1.01811 0.587806i
\(279\) 0.520789 + 2.59981i 0.0311788 + 0.155646i
\(280\) −0.214845 + 0.0874812i −0.0128394 + 0.00522800i
\(281\) 8.09237 0.482751 0.241375 0.970432i \(-0.422402\pi\)
0.241375 + 0.970432i \(0.422402\pi\)
\(282\) 14.7066 + 2.41786i 0.875765 + 0.143981i
\(283\) −2.90561 1.67755i −0.172721 0.0997203i 0.411147 0.911569i \(-0.365128\pi\)
−0.583868 + 0.811849i \(0.698461\pi\)
\(284\) 1.32899 2.30187i 0.0788608 0.136591i
\(285\) −0.997076 0.163926i −0.0590617 0.00971011i
\(286\) 13.7772 15.0677i 0.814666 0.890974i
\(287\) 3.24767 23.5719i 0.191704 1.39141i
\(288\) 0.589249 + 2.94156i 0.0347218 + 0.173333i
\(289\) 4.93203 + 8.54252i 0.290119 + 0.502501i
\(290\) 0.256353 0.444016i 0.0150536 0.0260735i
\(291\) 16.9807 6.40419i 0.995427 0.375421i
\(292\) −4.11174 7.12173i −0.240621 0.416768i
\(293\) 21.2050i 1.23881i 0.785072 + 0.619404i \(0.212626\pi\)
−0.785072 + 0.619404i \(0.787374\pi\)
\(294\) 6.94981 + 9.93479i 0.405321 + 0.579409i
\(295\) −0.315288 −0.0183568
\(296\) 0.456219 0.263398i 0.0265172 0.0153097i
\(297\) 15.5884 + 24.9552i 0.904533 + 1.44805i
\(298\) −6.40667 + 11.0967i −0.371129 + 0.642813i
\(299\) 0.953256 4.32185i 0.0551282 0.249939i
\(300\) 6.68788 + 5.48104i 0.386125 + 0.316448i
\(301\) 25.4163 + 3.50178i 1.46497 + 0.201839i
\(302\) 4.11415i 0.236743i
\(303\) 0.939988 5.71747i 0.0540009 0.328460i
\(304\) 3.32692 5.76239i 0.190812 0.330496i
\(305\) 0.101869 0.176442i 0.00583298 0.0101030i
\(306\) 6.01806 5.29211i 0.344030 0.302530i
\(307\) −19.0700 −1.08838 −0.544192 0.838961i \(-0.683164\pi\)
−0.544192 + 0.838961i \(0.683164\pi\)
\(308\) −5.64996 13.8757i −0.321936 0.790642i
\(309\) −13.6512 + 16.6570i −0.776589 + 0.947582i
\(310\) 0.0671090 0.0387454i 0.00381153 0.00220059i
\(311\) −1.91162 + 3.31103i −0.108398 + 0.187751i −0.915121 0.403178i \(-0.867905\pi\)
0.806723 + 0.590929i \(0.201239\pi\)
\(312\) 2.31662 5.79942i 0.131153 0.328327i
\(313\) −16.6808 + 9.63067i −0.942855 + 0.544358i −0.890854 0.454289i \(-0.849893\pi\)
−0.0520010 + 0.998647i \(0.516560\pi\)
\(314\) 19.3419i 1.09153i
\(315\) −0.310703 + 0.622707i −0.0175061 + 0.0350856i
\(316\) −14.3874 −0.809355
\(317\) −12.3152 21.3306i −0.691692 1.19805i −0.971283 0.237927i \(-0.923532\pi\)
0.279591 0.960119i \(-0.409801\pi\)
\(318\) 8.56031 + 22.6977i 0.480039 + 1.27282i
\(319\) 28.6767 + 16.5565i 1.60559 + 0.926987i
\(320\) 0.0759308 0.0438386i 0.00424466 0.00245065i
\(321\) 2.95894 3.61045i 0.165152 0.201516i
\(322\) −2.56456 1.99248i −0.142917 0.111036i
\(323\) −17.7745 −0.989000
\(324\) 7.15497 + 5.45952i 0.397498 + 0.303307i
\(325\) −5.43118 17.1611i −0.301268 0.951927i
\(326\) 15.2764 + 8.81983i 0.846081 + 0.488485i
\(327\) −13.1089 2.15519i −0.724924 0.119182i
\(328\) 8.99352i 0.496584i
\(329\) −21.0853 + 8.58560i −1.16247 + 0.473339i
\(330\) 0.545087 0.665107i 0.0300061 0.0366130i
\(331\) 3.59847 2.07757i 0.197790 0.114194i −0.397834 0.917457i \(-0.630238\pi\)
0.595624 + 0.803263i \(0.296905\pi\)
\(332\) 2.47803 + 1.43069i 0.135999 + 0.0785193i
\(333\) 0.505975 1.49720i 0.0277273 0.0820462i
\(334\) 13.4535 7.76738i 0.736143 0.425012i
\(335\) −0.662156 −0.0361774
\(336\) −3.11471 3.36134i −0.169921 0.183376i
\(337\) −1.62397 −0.0884634 −0.0442317 0.999021i \(-0.514084\pi\)
−0.0442317 + 0.999021i \(0.514084\pi\)
\(338\) −10.6329 + 7.47939i −0.578354 + 0.406825i
\(339\) 4.84656 + 12.8506i 0.263229 + 0.697951i
\(340\) −0.202835 0.117107i −0.0110003 0.00635102i
\(341\) 2.50237 + 4.33422i 0.135511 + 0.234711i
\(342\) −3.92076 19.5727i −0.212011 1.05837i
\(343\) −16.9798 7.39499i −0.916824 0.399292i
\(344\) −9.69720 −0.522838
\(345\) 0.0302405 0.183937i 0.00162809 0.00990286i
\(346\) −8.15099 + 14.1179i −0.438200 + 0.758984i
\(347\) 4.31492 + 2.49122i 0.231637 + 0.133736i 0.611327 0.791378i \(-0.290636\pi\)
−0.379690 + 0.925114i \(0.623969\pi\)
\(348\) 9.99425 + 1.64312i 0.535748 + 0.0880804i
\(349\) −18.4655 −0.988437 −0.494218 0.869338i \(-0.664546\pi\)
−0.494218 + 0.869338i \(0.664546\pi\)
\(350\) −13.0848 1.80278i −0.699413 0.0963629i
\(351\) −6.27015 17.6546i −0.334676 0.942333i
\(352\) 2.83131 + 4.90398i 0.150909 + 0.261383i
\(353\) −17.6657 10.1993i −0.940249 0.542853i −0.0502108 0.998739i \(-0.515989\pi\)
−0.890038 + 0.455885i \(0.849323\pi\)
\(354\) −2.19792 5.82777i −0.116818 0.309742i
\(355\) −0.201822 + 0.116522i −0.0107116 + 0.00618434i
\(356\) 3.39016i 0.179678i
\(357\) −3.61602 + 11.6953i −0.191380 + 0.618979i
\(358\) 8.99291i 0.475290i
\(359\) −1.49774 2.59416i −0.0790477 0.136915i 0.823792 0.566893i \(-0.191855\pi\)
−0.902839 + 0.429978i \(0.858521\pi\)
\(360\) 0.0842120 0.249187i 0.00443836 0.0131333i
\(361\) −12.6368 + 21.8875i −0.665092 + 1.15197i
\(362\) 6.15572 3.55401i 0.323538 0.186795i
\(363\) 28.2199 + 23.1275i 1.48116 + 1.21388i
\(364\) 1.61007 + 9.40253i 0.0843908 + 0.492827i
\(365\) 0.721012i 0.0377395i
\(366\) 3.97148 + 0.652936i 0.207593 + 0.0341295i
\(367\) 0.373545 + 0.215666i 0.0194989 + 0.0112577i 0.509718 0.860342i \(-0.329750\pi\)
−0.490219 + 0.871599i \(0.663083\pi\)
\(368\) 1.06303 + 0.613739i 0.0554141 + 0.0319934i
\(369\) 17.8169 + 20.2610i 0.927513 + 1.05475i
\(370\) −0.0461880 −0.00240120
\(371\) −29.2615 22.7341i −1.51918 1.18030i
\(372\) 1.18399 + 0.970340i 0.0613872 + 0.0503098i
\(373\) 5.60905 + 9.71516i 0.290425 + 0.503032i 0.973910 0.226933i \(-0.0728698\pi\)
−0.683485 + 0.729965i \(0.739536\pi\)
\(374\) 7.56334 13.1001i 0.391091 0.677389i
\(375\) −0.535481 1.41983i −0.0276521 0.0733195i
\(376\) 7.45201 4.30242i 0.384308 0.221880i
\(377\) −15.5601 14.2274i −0.801384 0.732749i
\(378\) −13.6760 1.40205i −0.703420 0.0721137i
\(379\) 11.4767i 0.589518i 0.955572 + 0.294759i \(0.0952393\pi\)
−0.955572 + 0.294759i \(0.904761\pi\)
\(380\) −0.505231 + 0.291695i −0.0259178 + 0.0149636i
\(381\) −7.79244 + 2.93888i −0.399219 + 0.150563i
\(382\) −12.3294 7.11841i −0.630829 0.364209i
\(383\) 0.325127 0.187712i 0.0166132 0.00959165i −0.491670 0.870781i \(-0.663614\pi\)
0.508284 + 0.861190i \(0.330280\pi\)
\(384\) 1.33964 + 1.09790i 0.0683630 + 0.0560268i
\(385\) −0.179286 + 1.30128i −0.00913727 + 0.0663194i
\(386\) 14.9132i 0.759061i
\(387\) −21.8463 + 19.2110i −1.11051 + 0.976549i
\(388\) 5.23894 9.07411i 0.265967 0.460668i
\(389\) −28.3112 16.3455i −1.43544 0.828750i −0.437909 0.899019i \(-0.644281\pi\)
−0.997528 + 0.0702694i \(0.977614\pi\)
\(390\) −0.430142 + 0.338797i −0.0217811 + 0.0171556i
\(391\) 3.27898i 0.165825i
\(392\) 6.73920 + 1.89294i 0.340381 + 0.0956081i
\(393\) 26.5198 + 21.7343i 1.33775 + 1.09635i
\(394\) 2.79871 + 4.84751i 0.140997 + 0.244214i
\(395\) 1.09245 + 0.630724i 0.0549669 + 0.0317352i
\(396\) 16.0937 + 5.43882i 0.808739 + 0.273311i
\(397\) 9.57692 + 16.5877i 0.480652 + 0.832514i 0.999754 0.0221990i \(-0.00706673\pi\)
−0.519102 + 0.854713i \(0.673733\pi\)
\(398\) 0.587979i 0.0294727i
\(399\) 20.7248 + 22.3658i 1.03754 + 1.11969i
\(400\) 4.99231 0.249616
\(401\) 2.06325 + 3.57365i 0.103034 + 0.178459i 0.912933 0.408109i \(-0.133812\pi\)
−0.809900 + 0.586569i \(0.800478\pi\)
\(402\) −4.61598 12.2393i −0.230224 0.610439i
\(403\) −0.961513 3.03813i −0.0478964 0.151340i
\(404\) −1.67265 2.89711i −0.0832174 0.144137i
\(405\) −0.303944 0.728210i −0.0151031 0.0361850i
\(406\) −14.3291 + 5.83457i −0.711140 + 0.289565i
\(407\) 2.98305i 0.147864i
\(408\) 0.750608 4.56557i 0.0371606 0.226029i
\(409\) 16.1361 27.9486i 0.797879 1.38197i −0.123116 0.992392i \(-0.539289\pi\)
0.920995 0.389575i \(-0.127378\pi\)
\(410\) 0.394264 0.682885i 0.0194713 0.0337253i
\(411\) 3.53551 21.5047i 0.174394 1.06075i
\(412\) 12.4339i 0.612577i
\(413\) 7.51309 + 5.83713i 0.369695 + 0.287227i
\(414\) 3.61070 0.723290i 0.177456 0.0355478i
\(415\) −0.125439 0.217267i −0.00615756 0.0106652i
\(416\) −1.08791 3.43751i −0.0533391 0.168538i
\(417\) −11.9806 31.7665i −0.586691 1.55561i
\(418\) −18.8391 32.6303i −0.921450 1.59600i
\(419\) −4.72613 −0.230886 −0.115443 0.993314i \(-0.536829\pi\)
−0.115443 + 0.993314i \(0.536829\pi\)
\(420\) 0.0891460 + 0.391773i 0.00434988 + 0.0191166i
\(421\) 28.1593i 1.37240i −0.727413 0.686200i \(-0.759277\pi\)
0.727413 0.686200i \(-0.240723\pi\)
\(422\) 8.11092 + 14.0485i 0.394834 + 0.683872i
\(423\) 8.26475 24.4557i 0.401846 1.18908i
\(424\) 12.1291 + 7.00275i 0.589042 + 0.340084i
\(425\) −6.66803 11.5494i −0.323447 0.560226i
\(426\) −3.56071 2.91818i −0.172517 0.141386i
\(427\) −5.69404 + 2.31852i −0.275554 + 0.112201i
\(428\) 2.69510i 0.130272i
\(429\) −21.8811 27.7806i −1.05643 1.34126i
\(430\) 0.736316 + 0.425112i 0.0355083 + 0.0205007i
\(431\) −18.2440 + 31.5996i −0.878783 + 1.52210i −0.0261063 + 0.999659i \(0.508311\pi\)
−0.852677 + 0.522438i \(0.825022\pi\)
\(432\) 5.19301 0.180546i 0.249849 0.00868652i
\(433\) 4.54367i 0.218355i −0.994022 0.109177i \(-0.965178\pi\)
0.994022 0.109177i \(-0.0348216\pi\)
\(434\) −2.31648 0.319157i −0.111195 0.0153200i
\(435\) −0.686839 0.562898i −0.0329314 0.0269889i
\(436\) −6.64244 + 3.83502i −0.318115 + 0.183664i
\(437\) −7.07321 4.08372i −0.338357 0.195351i
\(438\) −13.3272 + 5.02627i −0.636796 + 0.240165i
\(439\) −19.3010 + 11.1434i −0.921185 + 0.531847i −0.884013 0.467462i \(-0.845168\pi\)
−0.0371724 + 0.999309i \(0.511835\pi\)
\(440\) 0.496484i 0.0236689i
\(441\) 18.9324 9.08642i 0.901544 0.432687i
\(442\) −6.49936 + 7.10814i −0.309143 + 0.338100i
\(443\) 22.9471 13.2485i 1.09025 0.629457i 0.156608 0.987661i \(-0.449944\pi\)
0.933643 + 0.358204i \(0.116611\pi\)
\(444\) −0.321983 0.853738i −0.0152807 0.0405166i
\(445\) −0.148620 + 0.257418i −0.00704527 + 0.0122028i
\(446\) −9.21163 15.9550i −0.436183 0.755491i
\(447\) 17.1652 + 14.0677i 0.811887 + 0.665380i
\(448\) −2.62099 0.361112i −0.123830 0.0170609i
\(449\) 41.7613 1.97084 0.985420 0.170141i \(-0.0544222\pi\)
0.985420 + 0.170141i \(0.0544222\pi\)
\(450\) 11.2469 9.89020i 0.530184 0.466228i
\(451\) 44.1040 + 25.4635i 2.07678 + 1.19903i
\(452\) 6.86710 + 3.96472i 0.323001 + 0.186485i
\(453\) 7.03152 + 1.15603i 0.330369 + 0.0543148i
\(454\) 4.31729i 0.202620i
\(455\) 0.289940 0.784525i 0.0135926 0.0367791i
\(456\) −8.91371 7.30522i −0.417423 0.342098i
\(457\) −17.3505 + 10.0173i −0.811621 + 0.468590i −0.847519 0.530766i \(-0.821904\pi\)
0.0358974 + 0.999355i \(0.488571\pi\)
\(458\) −6.51189 + 11.2789i −0.304280 + 0.527029i
\(459\) −7.35378 11.7725i −0.343245 0.549495i
\(460\) −0.0538110 0.0932033i −0.00250895 0.00434563i
\(461\) 8.77765i 0.408816i −0.978886 0.204408i \(-0.934473\pi\)
0.978886 0.204408i \(-0.0655269\pi\)
\(462\) −25.3026 + 5.75748i −1.17719 + 0.267862i
\(463\) 17.9312i 0.833334i 0.909059 + 0.416667i \(0.136802\pi\)
−0.909059 + 0.416667i \(0.863198\pi\)
\(464\) 5.06421 2.92382i 0.235100 0.135735i
\(465\) −0.0473632 0.125583i −0.00219642 0.00582379i
\(466\) −14.2073 8.20260i −0.658142 0.379978i
\(467\) −8.47219 14.6743i −0.392046 0.679044i 0.600673 0.799495i \(-0.294899\pi\)
−0.992719 + 0.120451i \(0.961566\pi\)
\(468\) −9.26088 5.58892i −0.428084 0.258348i
\(469\) 15.7787 + 12.2589i 0.728593 + 0.566065i
\(470\) −0.754449 −0.0348001
\(471\) −33.0574 5.43484i −1.52320 0.250424i
\(472\) −3.11423 1.79800i −0.143344 0.0827597i
\(473\) −27.4558 + 47.5549i −1.26242 + 2.18658i
\(474\) −4.04268 + 24.5896i −0.185687 + 1.12944i
\(475\) −33.2180 −1.52415
\(476\) 2.66534 + 6.54580i 0.122166 + 0.300026i
\(477\) 41.1981 8.25273i 1.88633 0.377866i
\(478\) −7.69636 13.3305i −0.352023 0.609723i
\(479\) −7.22604 4.17195i −0.330166 0.190621i 0.325749 0.945456i \(-0.394384\pi\)
−0.655915 + 0.754835i \(0.727717\pi\)
\(480\) −0.0535893 0.142092i −0.00244601 0.00648558i
\(481\) −0.409108 + 1.85481i −0.0186537 + 0.0845720i
\(482\) 7.79411 0.355012
\(483\) −4.12596 + 3.82324i −0.187738 + 0.173963i
\(484\) 21.0653 0.957515
\(485\) −0.795594 + 0.459336i −0.0361260 + 0.0208574i
\(486\) 11.3414 10.6945i 0.514455 0.485115i
\(487\) −12.4028 7.16075i −0.562023 0.324484i 0.191934 0.981408i \(-0.438524\pi\)
−0.753957 + 0.656924i \(0.771857\pi\)
\(488\) 2.01240 1.16186i 0.0910970 0.0525949i
\(489\) 19.3665 23.6307i 0.875784 1.06862i
\(490\) −0.428728 0.439170i −0.0193680 0.0198397i
\(491\) 7.65264i 0.345359i −0.984978 0.172679i \(-0.944758\pi\)
0.984978 0.172679i \(-0.0552424\pi\)
\(492\) 15.3709 + 2.52707i 0.692973 + 0.113929i
\(493\) −13.5281 7.81046i −0.609276 0.351766i
\(494\) 7.23876 + 22.8726i 0.325687 + 1.02909i
\(495\) −0.983577 1.11850i −0.0442085 0.0502728i
\(496\) 0.883818 0.0396846
\(497\) 6.96652 + 0.959825i 0.312491 + 0.0430540i
\(498\) 3.14150 3.83321i 0.140774 0.171770i
\(499\) −23.5183 + 13.5783i −1.05283 + 0.607849i −0.923439 0.383745i \(-0.874634\pi\)
−0.129386 + 0.991594i \(0.541301\pi\)
\(500\) −0.758724 0.438049i −0.0339312 0.0195902i
\(501\) −9.49501 25.1760i −0.424206 1.12478i
\(502\) 3.95965 + 6.85831i 0.176728 + 0.306101i
\(503\) −27.6274 −1.23185 −0.615923 0.787806i \(-0.711217\pi\)
−0.615923 + 0.787806i \(0.711217\pi\)
\(504\) −6.62008 + 4.37888i −0.294882 + 0.195051i
\(505\) 0.293307i 0.0130520i
\(506\) 6.01952 3.47537i 0.267600 0.154499i
\(507\) 9.79535 + 20.2744i 0.435027 + 0.900418i
\(508\) −2.40415 + 4.16411i −0.106667 + 0.184752i
\(509\) −12.2242 + 7.05762i −0.541826 + 0.312823i −0.745819 0.666149i \(-0.767942\pi\)
0.203993 + 0.978972i \(0.434608\pi\)
\(510\) −0.257143 + 0.313761i −0.0113865 + 0.0138936i
\(511\) 13.3486 17.1812i 0.590506 0.760052i
\(512\) 1.00000 0.0441942
\(513\) −34.5535 + 1.20132i −1.52557 + 0.0530397i
\(514\) 4.92741 8.53452i 0.217339 0.376442i
\(515\) 0.545087 0.944119i 0.0240194 0.0416029i
\(516\) −2.72480 + 16.5736i −0.119952 + 0.729610i
\(517\) 48.7260i 2.14297i
\(518\) 1.10063 + 0.855110i 0.0483589 + 0.0375714i
\(519\) 21.8387 + 17.8979i 0.958613 + 0.785629i
\(520\) −0.0680900 + 0.308705i −0.00298594 + 0.0135376i
\(521\) −3.15726 + 5.46854i −0.138322 + 0.239581i −0.926862 0.375403i \(-0.877504\pi\)
0.788539 + 0.614984i \(0.210838\pi\)
\(522\) 5.61653 16.6195i 0.245829 0.727418i
\(523\) 29.7281 17.1636i 1.29992 0.750510i 0.319531 0.947576i \(-0.396475\pi\)
0.980390 + 0.197066i \(0.0631414\pi\)
\(524\) 19.7963 0.864805
\(525\) −6.75782 + 21.8568i −0.294936 + 0.953908i
\(526\) 23.3947i 1.02006i
\(527\) −1.18048 2.04465i −0.0514225 0.0890664i
\(528\) 9.17699 3.46106i 0.399377 0.150623i
\(529\) −10.7466 + 18.6137i −0.467246 + 0.809293i
\(530\) −0.613982 1.06345i −0.0266697 0.0461933i
\(531\) −10.5779 + 2.11894i −0.459040 + 0.0919542i
\(532\) 17.4396 + 2.40278i 0.756104 + 0.104174i
\(533\) −23.9310 21.8814i −1.03656 0.947787i
\(534\) −5.79415 0.952595i −0.250738 0.0412228i
\(535\) −0.118149 + 0.204641i −0.00510805 + 0.00884740i
\(536\) −6.54039 3.77610i −0.282502 0.163103i
\(537\) 15.3699 + 2.52690i 0.663258 + 0.109044i
\(538\) 1.71976 0.0741443
\(539\) 28.3637 27.6894i 1.22171 1.19266i
\(540\) −0.402224 0.213946i −0.0173090 0.00920676i
\(541\) 8.13741 4.69814i 0.349855 0.201989i −0.314767 0.949169i \(-0.601926\pi\)
0.664621 + 0.747180i \(0.268593\pi\)
\(542\) −8.00242 + 13.8606i −0.343733 + 0.595364i
\(543\) −4.34450 11.5194i −0.186440 0.494346i
\(544\) −1.33566 2.31343i −0.0572659 0.0991875i
\(545\) 0.672488 0.0288062
\(546\) 16.5223 0.109790i 0.707091 0.00469856i
\(547\) −11.4919 −0.491360 −0.245680 0.969351i \(-0.579011\pi\)
−0.245680 + 0.969351i \(0.579011\pi\)
\(548\) −6.29121 10.8967i −0.268747 0.465484i
\(549\) 2.23188 6.60422i 0.0952541 0.281861i
\(550\) 14.1348 24.4822i 0.602710 1.04392i
\(551\) −33.6964 + 19.4546i −1.43552 + 0.828795i
\(552\) 1.34764 1.64437i 0.0573595 0.0699892i
\(553\) −14.3552 35.2549i −0.610446 1.49919i
\(554\) −12.2425 −0.520135
\(555\) −0.0129783 + 0.0789403i −0.000550897 + 0.00335083i
\(556\) −16.9753 9.80069i −0.719913 0.415642i
\(557\) 3.51222 6.08334i 0.148818 0.257760i −0.781973 0.623312i \(-0.785787\pi\)
0.930791 + 0.365553i \(0.119120\pi\)
\(558\) 1.99110 1.75092i 0.0842901 0.0741223i
\(559\) 23.5934 25.8034i 0.997896 1.09137i
\(560\) 0.183183 + 0.142320i 0.00774091 + 0.00601413i
\(561\) −20.2642 16.6075i −0.855557 0.701170i
\(562\) −4.04619 7.00820i −0.170678 0.295623i
\(563\) −19.9568 + 34.5661i −0.841078 + 1.45679i 0.0479070 + 0.998852i \(0.484745\pi\)
−0.888985 + 0.457937i \(0.848588\pi\)
\(564\) −5.25937 13.9452i −0.221459 0.587199i
\(565\) −0.347616 0.602089i −0.0146243 0.0253301i
\(566\) 3.35511i 0.141026i
\(567\) −6.23906 + 22.9799i −0.262016 + 0.965064i
\(568\) −2.65797 −0.111526
\(569\) 31.7330 18.3210i 1.33032 0.768058i 0.344968 0.938615i \(-0.387890\pi\)
0.985348 + 0.170557i \(0.0545566\pi\)
\(570\) 0.356574 + 0.945456i 0.0149353 + 0.0396008i
\(571\) −2.72588 + 4.72136i −0.114075 + 0.197583i −0.917409 0.397945i \(-0.869724\pi\)
0.803335 + 0.595528i \(0.203057\pi\)
\(572\) −19.9377 4.39758i −0.833636 0.183872i
\(573\) −15.6305 + 19.0721i −0.652975 + 0.796750i
\(574\) −22.0377 + 8.97341i −0.919837 + 0.374543i
\(575\) 6.12795i 0.255553i
\(576\) 2.25284 1.98109i 0.0938685 0.0825452i
\(577\) 12.5609 21.7561i 0.522917 0.905719i −0.476727 0.879051i \(-0.658177\pi\)
0.999644 0.0266678i \(-0.00848964\pi\)
\(578\) 4.93203 8.54252i 0.205145 0.355322i
\(579\) −25.4882 4.19042i −1.05925 0.174148i
\(580\) −0.512706 −0.0212890
\(581\) −1.03328 + 7.49965i −0.0428676 + 0.311138i
\(582\) −14.0365 11.5036i −0.581834 0.476841i
\(583\) 68.6827 39.6540i 2.84455 1.64230i
\(584\) −4.11174 + 7.12173i −0.170145 + 0.294699i
\(585\) 0.458175 + 0.830356i 0.0189432 + 0.0343310i
\(586\) 18.3641 10.6025i 0.758612 0.437985i
\(587\) 22.1376i 0.913717i −0.889539 0.456859i \(-0.848975\pi\)
0.889539 0.456859i \(-0.151025\pi\)
\(588\) 5.12887 10.9861i 0.211511 0.453060i
\(589\) −5.88078 −0.242313
\(590\) 0.157644 + 0.273047i 0.00649010 + 0.0112412i
\(591\) 9.07132 3.42121i 0.373144 0.140730i
\(592\) −0.456219 0.263398i −0.0187505 0.0108256i
\(593\) 6.33623 3.65823i 0.260198 0.150225i −0.364227 0.931310i \(-0.618667\pi\)
0.624425 + 0.781085i \(0.285333\pi\)
\(594\) 13.8177 25.9776i 0.566945 1.06587i
\(595\) 0.0845775 0.613873i 0.00346734 0.0251663i
\(596\) 12.8133 0.524855
\(597\) −1.00492 0.165215i −0.0411286 0.00676179i
\(598\) −4.21946 + 1.33538i −0.172547 + 0.0546079i
\(599\) 35.3925 + 20.4339i 1.44610 + 0.834906i 0.998246 0.0592009i \(-0.0188552\pi\)
0.447854 + 0.894107i \(0.352189\pi\)
\(600\) 1.40278 8.53240i 0.0572682 0.348334i
\(601\) 6.67453i 0.272260i 0.990691 + 0.136130i \(0.0434664\pi\)
−0.990691 + 0.136130i \(0.956534\pi\)
\(602\) −9.67552 23.7620i −0.394345 0.968469i
\(603\) −22.2152 + 4.45012i −0.904674 + 0.181223i
\(604\) 3.56296 2.05707i 0.144975 0.0837011i
\(605\) −1.59951 0.923476i −0.0650292 0.0375446i
\(606\) −5.42147 + 2.04468i −0.220232 + 0.0830595i
\(607\) 19.4541 11.2318i 0.789617 0.455886i −0.0502106 0.998739i \(-0.515989\pi\)
0.839828 + 0.542853i \(0.182656\pi\)
\(608\) −6.65383 −0.269849
\(609\) 5.94560 + 26.1294i 0.240928 + 1.05882i
\(610\) −0.203737 −0.00824908
\(611\) −6.68250 + 30.2970i −0.270345 + 1.22568i
\(612\) −7.59213 2.56574i −0.306894 0.103714i
\(613\) 7.57215 + 4.37178i 0.305836 + 0.176575i 0.645062 0.764130i \(-0.276832\pi\)
−0.339225 + 0.940705i \(0.610165\pi\)
\(614\) 9.53501 + 16.5151i 0.384802 + 0.666496i
\(615\) −1.05634 0.865721i −0.0425957 0.0349093i
\(616\) −9.19173 + 11.8309i −0.370345 + 0.476679i
\(617\) 33.2275 1.33769 0.668845 0.743402i \(-0.266789\pi\)
0.668845 + 0.743402i \(0.266789\pi\)
\(618\) 21.2509 + 3.49379i 0.854838 + 0.140541i
\(619\) −9.75542 + 16.8969i −0.392103 + 0.679143i −0.992727 0.120389i \(-0.961586\pi\)
0.600623 + 0.799532i \(0.294919\pi\)
\(620\) −0.0671090 0.0387454i −0.00269516 0.00155605i
\(621\) −0.221616 6.37431i −0.00889315 0.255792i
\(622\) 3.82324 0.153298
\(623\) 8.30726 3.38258i 0.332824 0.135520i
\(624\) −6.18076 + 0.893454i −0.247428 + 0.0357668i
\(625\) −12.4424 21.5508i −0.497695 0.862033i
\(626\) 16.6808 + 9.63067i 0.666699 + 0.384919i
\(627\) −61.0621 + 23.0293i −2.43859 + 0.919702i
\(628\) −16.7506 + 9.67095i −0.668421 + 0.385913i
\(629\) 1.40724i 0.0561103i
\(630\) 0.694632 0.0422765i 0.0276748 0.00168434i
\(631\) 44.3163i 1.76421i 0.471057 + 0.882103i \(0.343872\pi\)
−0.471057 + 0.882103i \(0.656128\pi\)
\(632\) 7.19370 + 12.4599i 0.286150 + 0.495626i
\(633\) 26.2895 9.91497i 1.04491 0.394085i
\(634\) −12.3152 + 21.3306i −0.489100 + 0.847147i
\(635\) 0.365098 0.210789i 0.0144885 0.00836491i
\(636\) 15.3766 18.7623i 0.609721 0.743973i
\(637\) −21.4335 + 13.3268i −0.849227 + 0.528028i
\(638\) 33.1130i 1.31096i
\(639\) −5.98799 + 5.26567i −0.236881 + 0.208307i
\(640\) −0.0759308 0.0438386i −0.00300143 0.00173287i
\(641\) −5.36714 3.09872i −0.211989 0.122392i 0.390246 0.920711i \(-0.372390\pi\)
−0.602236 + 0.798318i \(0.705723\pi\)
\(642\) −4.60621 0.757290i −0.181793 0.0298878i
\(643\) 21.2665 0.838669 0.419334 0.907832i \(-0.362263\pi\)
0.419334 + 0.907832i \(0.362263\pi\)
\(644\) −0.443257 + 3.21721i −0.0174668 + 0.126776i
\(645\) 0.933458 1.13899i 0.0367549 0.0448477i
\(646\) 8.88725 + 15.3932i 0.349664 + 0.605636i
\(647\) 3.77674 6.54151i 0.148479 0.257173i −0.782186 0.623044i \(-0.785896\pi\)
0.930666 + 0.365871i \(0.119229\pi\)
\(648\) 1.15060 8.92615i 0.0451999 0.350652i
\(649\) −17.6347 + 10.1814i −0.692223 + 0.399655i
\(650\) −12.1464 + 13.2841i −0.476420 + 0.521045i
\(651\) −1.19638 + 3.86943i −0.0468897 + 0.151655i
\(652\) 17.6397i 0.690823i
\(653\) 27.7842 16.0412i 1.08728 0.627742i 0.154430 0.988004i \(-0.450646\pi\)
0.932851 + 0.360262i \(0.117313\pi\)
\(654\) 4.68801 + 12.4302i 0.183316 + 0.486061i
\(655\) −1.50315 0.867843i −0.0587329 0.0339094i
\(656\) 7.78862 4.49676i 0.304094 0.175569i
\(657\) 4.84567 + 24.1898i 0.189048 + 0.943736i
\(658\) 17.9780 + 13.9676i 0.700855 + 0.544514i
\(659\) 8.17705i 0.318533i −0.987236 0.159266i \(-0.949087\pi\)
0.987236 0.159266i \(-0.0509128\pi\)
\(660\) −0.848544 0.139506i −0.0330295 0.00543026i
\(661\) −13.8904 + 24.0589i −0.540274 + 0.935782i 0.458614 + 0.888636i \(0.348346\pi\)
−0.998888 + 0.0471464i \(0.984987\pi\)
\(662\) −3.59847 2.07757i −0.139858 0.0807472i
\(663\) 10.3223 + 13.1054i 0.400886 + 0.508971i
\(664\) 2.86138i 0.111043i
\(665\) −1.21887 0.946975i −0.0472658 0.0367221i
\(666\) −1.54960 + 0.310414i −0.0600459 + 0.0120283i
\(667\) −3.58893 6.21621i −0.138964 0.240693i
\(668\) −13.4535 7.76738i −0.520532 0.300529i
\(669\) −29.8572 + 11.2605i −1.15434 + 0.435356i
\(670\) 0.331078 + 0.573444i 0.0127907 + 0.0221541i
\(671\) 13.1583i 0.507972i
\(672\) −1.35365 + 4.37809i −0.0522180 + 0.168888i
\(673\) 36.4941 1.40674 0.703372 0.710822i \(-0.251677\pi\)
0.703372 + 0.710822i \(0.251677\pi\)
\(674\) 0.811986 + 1.40640i 0.0312765 + 0.0541725i
\(675\) −13.7432 22.0012i −0.528975 0.846825i
\(676\) 11.7938 + 5.46868i 0.453607 + 0.210334i
\(677\) 7.78434 + 13.4829i 0.299176 + 0.518189i 0.975948 0.218004i \(-0.0699547\pi\)
−0.676771 + 0.736193i \(0.736621\pi\)
\(678\) 8.70570 10.6226i 0.334340 0.407957i
\(679\) 27.4624 + 3.78369i 1.05391 + 0.145205i
\(680\) 0.234214i 0.00898170i
\(681\) 7.37871 + 1.21311i 0.282753 + 0.0464863i
\(682\) 2.50237 4.33422i 0.0958205 0.165966i
\(683\) 6.05165 10.4818i 0.231560 0.401074i −0.726707 0.686947i \(-0.758950\pi\)
0.958267 + 0.285873i \(0.0922837\pi\)
\(684\) −14.9900 + 13.1818i −0.573159 + 0.504019i
\(685\) 1.10319i 0.0421508i
\(686\) 2.08565 + 18.4024i 0.0796306 + 0.702609i
\(687\) 17.4471 + 14.2987i 0.665649 + 0.545531i
\(688\) 4.84860 + 8.39803i 0.184851 + 0.320172i
\(689\) −48.1440 + 15.2367i −1.83414 + 0.580472i
\(690\) −0.174415 + 0.0657797i −0.00663985 + 0.00250419i
\(691\) 7.19903 + 12.4691i 0.273864 + 0.474347i 0.969848 0.243711i \(-0.0783648\pi\)
−0.695984 + 0.718057i \(0.745031\pi\)
\(692\) 16.3020 0.619708
\(693\) 2.73042 + 44.8627i 0.103720 + 1.70419i
\(694\) 4.98244i 0.189131i
\(695\) 0.859298 + 1.48835i 0.0325950 + 0.0564563i
\(696\) −3.57414 9.47684i −0.135478 0.359219i
\(697\) −20.8059 12.0123i −0.788079 0.454998i
\(698\) 9.23276 + 15.9916i 0.349465 + 0.605291i
\(699\) −18.0112 + 21.9770i −0.681246 + 0.831246i
\(700\) 4.98115 + 12.2332i 0.188270 + 0.462370i
\(701\) 33.4107i 1.26190i 0.775822 + 0.630952i \(0.217335\pi\)
−0.775822 + 0.630952i \(0.782665\pi\)
\(702\) −12.1543 + 14.2574i −0.458733 + 0.538111i
\(703\) 3.03560 + 1.75261i 0.114490 + 0.0661008i
\(704\) 2.83131 4.90398i 0.106709 0.184826i
\(705\) −0.211991 + 1.28943i −0.00798404 + 0.0485629i
\(706\) 20.3986i 0.767710i
\(707\) 5.43018 6.98929i 0.204223 0.262859i
\(708\) −3.94804 + 4.81734i −0.148376 + 0.181047i
\(709\) 25.6450 14.8062i 0.963119 0.556057i 0.0659873 0.997820i \(-0.478980\pi\)
0.897132 + 0.441764i \(0.145647\pi\)
\(710\) 0.201822 + 0.116522i 0.00757424 + 0.00437299i
\(711\) 40.8903 + 13.8188i 1.53351 + 0.518244i
\(712\) −2.93597 + 1.69508i −0.110030 + 0.0635259i
\(713\) 1.08487i 0.0406286i
\(714\) 11.9364 2.71607i 0.446709 0.101646i
\(715\) 1.32110 + 1.20795i 0.0494063 + 0.0451748i
\(716\) 7.78809 4.49646i 0.291055 0.168041i
\(717\) −24.9458 + 9.40820i −0.931619 + 0.351356i
\(718\) −1.49774 + 2.59416i −0.0558952 + 0.0968133i
\(719\) 14.5300 + 25.1667i 0.541877 + 0.938558i 0.998796 + 0.0490503i \(0.0156195\pi\)
−0.456919 + 0.889508i \(0.651047\pi\)
\(720\) −0.257908 + 0.0516637i −0.00961167 + 0.00192539i
\(721\) −30.4682 + 12.4061i −1.13469 + 0.462029i
\(722\) 25.2735 0.940583
\(723\) 2.19005 13.3210i 0.0814488 0.495412i
\(724\) −6.15572 3.55401i −0.228776 0.132084i
\(725\) −25.2821 14.5966i −0.938955 0.542106i
\(726\) 5.91910 36.0029i 0.219678 1.33619i
\(727\) 10.8801i 0.403521i −0.979435 0.201761i \(-0.935334\pi\)
0.979435 0.201761i \(-0.0646663\pi\)
\(728\) 7.33780 6.09563i 0.271957 0.225919i
\(729\) −15.0913 22.3886i −0.558938 0.829209i
\(730\) 0.624414 0.360506i 0.0231106 0.0133429i
\(731\) 12.9522 22.4338i 0.479053 0.829744i
\(732\) −1.42028 3.76587i −0.0524951 0.139191i
\(733\) 25.2212 + 43.6845i 0.931568 + 1.61352i 0.780643 + 0.624978i \(0.214892\pi\)
0.150925 + 0.988545i \(0.451775\pi\)
\(734\) 0.431332i 0.0159208i
\(735\) −0.871056 + 0.609341i −0.0321294 + 0.0224759i
\(736\) 1.22748i 0.0452454i
\(737\) −37.0358 + 21.3826i −1.36423 + 0.787639i
\(738\) 8.63807 25.5604i 0.317972 0.940892i
\(739\) −4.88879 2.82254i −0.179837 0.103829i 0.407379 0.913259i \(-0.366443\pi\)
−0.587216 + 0.809430i \(0.699776\pi\)
\(740\) 0.0230940 + 0.0400000i 0.000848953 + 0.00147043i
\(741\) 41.1257 5.94489i 1.51079 0.218391i
\(742\) −5.05756 + 36.7083i −0.185669 + 1.34760i
\(743\) 12.6489 0.464041 0.232021 0.972711i \(-0.425466\pi\)
0.232021 + 0.972711i \(0.425466\pi\)
\(744\) 0.248342 1.51054i 0.00910466 0.0553791i
\(745\) −0.972927 0.561720i −0.0356453 0.0205798i
\(746\) 5.60905 9.71516i 0.205362 0.355697i
\(747\) −5.66863 6.44624i −0.207404 0.235855i
\(748\) −15.1267 −0.553086
\(749\) 6.60407 2.68907i 0.241308 0.0982565i
\(750\) −0.961866 + 1.17365i −0.0351224 + 0.0428558i
\(751\) −0.800219 1.38602i −0.0292004 0.0505766i 0.851056 0.525075i \(-0.175963\pi\)
−0.880256 + 0.474498i \(0.842629\pi\)
\(752\) −7.45201 4.30242i −0.271747 0.156893i
\(753\) 12.8342 4.84036i 0.467704 0.176393i
\(754\) −4.54127 + 20.5891i −0.165383 + 0.749811i
\(755\) −0.360717 −0.0131278
\(756\) 5.62381 + 12.5448i 0.204536 + 0.456251i
\(757\) −46.2341 −1.68041 −0.840203 0.542272i \(-0.817564\pi\)
−0.840203 + 0.542272i \(0.817564\pi\)
\(758\) 9.93910 5.73834i 0.361004 0.208426i
\(759\) −4.24837 11.2645i −0.154206 0.408877i
\(760\) 0.505231 + 0.291695i 0.0183266 + 0.0105809i
\(761\) 29.1876 16.8515i 1.05805 0.610865i 0.133157 0.991095i \(-0.457488\pi\)
0.924892 + 0.380230i \(0.124155\pi\)
\(762\) 6.44136 + 5.27901i 0.233346 + 0.191238i
\(763\) −16.0249 12.4502i −0.580141 0.450728i
\(764\) 14.2368i 0.515070i
\(765\) 0.463998 + 0.527647i 0.0167759 + 0.0190771i
\(766\) −0.325127 0.187712i −0.0117473 0.00678232i
\(767\) 12.3613 3.91212i 0.446340 0.141259i
\(768\) 0.280988 1.70911i 0.0101393 0.0616721i
\(769\) 22.1719 0.799539 0.399769 0.916616i \(-0.369090\pi\)
0.399769 + 0.916616i \(0.369090\pi\)
\(770\) 1.21658 0.495373i 0.0438427 0.0178520i
\(771\) −13.2019 10.8196i −0.475454 0.389657i
\(772\) −12.9152 + 7.45659i −0.464828 + 0.268369i
\(773\) −1.94637 1.12374i −0.0700061 0.0404181i 0.464588 0.885527i \(-0.346202\pi\)
−0.534595 + 0.845109i \(0.679536\pi\)
\(774\) 27.5603 + 9.31394i 0.990636 + 0.334783i