Properties

Label 462.2.w.b.365.11
Level $462$
Weight $2$
Character 462.365
Analytic conductor $3.689$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 365.11
Character \(\chi\) \(=\) 462.365
Dual form 462.2.w.b.281.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 + 0.951057i) q^{2} +(1.64588 + 0.539528i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.27054 + 0.412823i) q^{5} +(-1.02173 + 1.39860i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(2.41782 + 1.77599i) q^{9} +O(q^{10})\) \(q+(-0.309017 + 0.951057i) q^{2} +(1.64588 + 0.539528i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-1.27054 + 0.412823i) q^{5} +(-1.02173 + 1.39860i) q^{6} +(0.587785 - 0.809017i) q^{7} +(0.809017 - 0.587785i) q^{8} +(2.41782 + 1.77599i) q^{9} -1.33592i q^{10} +(1.31245 + 3.04590i) q^{11} +(-1.01442 - 1.40391i) q^{12} +(1.24984 + 0.406097i) q^{13} +(0.587785 + 0.809017i) q^{14} +(-2.31388 - 0.00603529i) q^{15} +(0.309017 + 0.951057i) q^{16} +(1.37052 + 4.21804i) q^{17} +(-2.43622 + 1.75067i) q^{18} +(1.08219 + 1.48951i) q^{19} +(1.27054 + 0.412823i) q^{20} +(1.40391 - 1.01442i) q^{21} +(-3.30239 + 0.306978i) q^{22} +1.58577i q^{23} +(1.64867 - 0.530935i) q^{24} +(-2.60124 + 1.88991i) q^{25} +(-0.772442 + 1.06318i) q^{26} +(3.02123 + 4.22755i) q^{27} +(-0.951057 + 0.309017i) q^{28} +(-4.69359 - 3.41010i) q^{29} +(0.720767 - 2.19876i) q^{30} +(0.679831 - 2.09231i) q^{31} -1.00000 q^{32} +(0.516781 + 5.72127i) q^{33} -4.43511 q^{34} +(-0.412823 + 1.27054i) q^{35} +(-0.912155 - 2.85797i) q^{36} +(3.94038 + 2.86286i) q^{37} +(-1.75103 + 0.568943i) q^{38} +(1.83798 + 1.34271i) q^{39} +(-0.785235 + 1.08078i) q^{40} +(7.50793 - 5.45483i) q^{41} +(0.530935 + 1.64867i) q^{42} -12.2657i q^{43} +(0.728540 - 3.23562i) q^{44} +(-3.80510 - 1.25833i) q^{45} +(-1.50816 - 0.490031i) q^{46} +(-4.02179 - 5.53552i) q^{47} +(-0.00451770 + 1.73204i) q^{48} +(-0.309017 - 0.951057i) q^{49} +(-0.993586 - 3.05794i) q^{50} +(-0.0200365 + 7.68181i) q^{51} +(-0.772442 - 1.06318i) q^{52} +(-2.55936 - 0.831586i) q^{53} +(-4.95425 + 1.56698i) q^{54} +(-2.92493 - 3.32812i) q^{55} -1.00000i q^{56} +(0.977524 + 3.03543i) q^{57} +(4.69359 - 3.41010i) q^{58} +(-3.27016 + 4.50099i) q^{59} +(1.86842 + 1.36495i) q^{60} +(0.947855 - 0.307977i) q^{61} +(1.77982 + 1.29312i) q^{62} +(2.85797 - 0.912155i) q^{63} +(0.309017 - 0.951057i) q^{64} -1.75561 q^{65} +(-5.60095 - 1.27648i) q^{66} +10.1583 q^{67} +(1.37052 - 4.21804i) q^{68} +(-0.855569 + 2.60999i) q^{69} +(-1.08078 - 0.785235i) q^{70} +(-9.29051 + 3.01867i) q^{71} +(2.99996 + 0.0156497i) q^{72} +(1.19001 - 1.63791i) q^{73} +(-3.94038 + 2.86286i) q^{74} +(-5.30099 + 1.70712i) q^{75} -1.84114i q^{76} +(3.23562 + 0.728540i) q^{77} +(-1.84496 + 1.33310i) q^{78} +(2.31041 + 0.750697i) q^{79} +(-0.785235 - 1.08078i) q^{80} +(2.69170 + 8.58806i) q^{81} +(2.86778 + 8.82611i) q^{82} +(-0.895147 - 2.75498i) q^{83} +(-1.73204 - 0.00451770i) q^{84} +(-3.48261 - 4.79340i) q^{85} +(11.6654 + 3.79030i) q^{86} +(-5.88524 - 8.14492i) q^{87} +(2.85213 + 1.69274i) q^{88} +4.50189i q^{89} +(2.37259 - 3.23002i) q^{90} +(1.06318 - 0.772442i) q^{91} +(0.932094 - 1.28292i) q^{92} +(2.24778 - 3.07689i) q^{93} +(6.50739 - 2.11438i) q^{94} +(-1.98987 - 1.44573i) q^{95} +(-1.64588 - 0.539528i) q^{96} +(1.67720 - 5.16190i) q^{97} +1.00000 q^{98} +(-2.23623 + 9.69532i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + O(q^{10}) \) \( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 + 0.951057i −0.218508 + 0.672499i
\(3\) 1.64588 + 0.539528i 0.950247 + 0.311497i
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −1.27054 + 0.412823i −0.568202 + 0.184620i −0.579008 0.815322i \(-0.696560\pi\)
0.0108066 + 0.999942i \(0.496560\pi\)
\(6\) −1.02173 + 1.39860i −0.417118 + 0.570975i
\(7\) 0.587785 0.809017i 0.222162 0.305780i
\(8\) 0.809017 0.587785i 0.286031 0.207813i
\(9\) 2.41782 + 1.77599i 0.805940 + 0.591998i
\(10\) 1.33592i 0.422456i
\(11\) 1.31245 + 3.04590i 0.395718 + 0.918372i
\(12\) −1.01442 1.40391i −0.292837 0.405274i
\(13\) 1.24984 + 0.406097i 0.346643 + 0.112631i 0.477163 0.878815i \(-0.341665\pi\)
−0.130521 + 0.991446i \(0.541665\pi\)
\(14\) 0.587785 + 0.809017i 0.157092 + 0.216219i
\(15\) −2.31388 0.00603529i −0.597440 0.00155831i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 1.37052 + 4.21804i 0.332401 + 1.02303i 0.967988 + 0.250996i \(0.0807581\pi\)
−0.635587 + 0.772029i \(0.719242\pi\)
\(18\) −2.43622 + 1.75067i −0.574222 + 0.412637i
\(19\) 1.08219 + 1.48951i 0.248272 + 0.341717i 0.914905 0.403669i \(-0.132265\pi\)
−0.666633 + 0.745386i \(0.732265\pi\)
\(20\) 1.27054 + 0.412823i 0.284101 + 0.0923099i
\(21\) 1.40391 1.01442i 0.306358 0.221364i
\(22\) −3.30239 + 0.306978i −0.704071 + 0.0654480i
\(23\) 1.58577i 0.330657i 0.986239 + 0.165328i \(0.0528684\pi\)
−0.986239 + 0.165328i \(0.947132\pi\)
\(24\) 1.64867 0.530935i 0.336533 0.108377i
\(25\) −2.60124 + 1.88991i −0.520249 + 0.377983i
\(26\) −0.772442 + 1.06318i −0.151488 + 0.208506i
\(27\) 3.02123 + 4.22755i 0.581437 + 0.813592i
\(28\) −0.951057 + 0.309017i −0.179733 + 0.0583987i
\(29\) −4.69359 3.41010i −0.871579 0.633239i 0.0594315 0.998232i \(-0.481071\pi\)
−0.931010 + 0.364993i \(0.881071\pi\)
\(30\) 0.720767 2.19876i 0.131593 0.401437i
\(31\) 0.679831 2.09231i 0.122101 0.375789i −0.871261 0.490821i \(-0.836697\pi\)
0.993362 + 0.115032i \(0.0366969\pi\)
\(32\) −1.00000 −0.176777
\(33\) 0.516781 + 5.72127i 0.0899600 + 0.995945i
\(34\) −4.43511 −0.760615
\(35\) −0.412823 + 1.27054i −0.0697798 + 0.214760i
\(36\) −0.912155 2.85797i −0.152026 0.476328i
\(37\) 3.94038 + 2.86286i 0.647795 + 0.470651i 0.862519 0.506024i \(-0.168885\pi\)
−0.214724 + 0.976675i \(0.568885\pi\)
\(38\) −1.75103 + 0.568943i −0.284054 + 0.0922947i
\(39\) 1.83798 + 1.34271i 0.294312 + 0.215005i
\(40\) −0.785235 + 1.08078i −0.124157 + 0.170887i
\(41\) 7.50793 5.45483i 1.17254 0.851902i 0.181231 0.983441i \(-0.441992\pi\)
0.991311 + 0.131539i \(0.0419917\pi\)
\(42\) 0.530935 + 1.64867i 0.0819250 + 0.254395i
\(43\) 12.2657i 1.87050i −0.353990 0.935249i \(-0.615175\pi\)
0.353990 0.935249i \(-0.384825\pi\)
\(44\) 0.728540 3.23562i 0.109832 0.487788i
\(45\) −3.80510 1.25833i −0.567231 0.187581i
\(46\) −1.50816 0.490031i −0.222366 0.0722511i
\(47\) −4.02179 5.53552i −0.586639 0.807439i 0.407765 0.913087i \(-0.366308\pi\)
−0.994404 + 0.105648i \(0.966308\pi\)
\(48\) −0.00451770 + 1.73204i −0.000652074 + 0.249999i
\(49\) −0.309017 0.951057i −0.0441453 0.135865i
\(50\) −0.993586 3.05794i −0.140514 0.432459i
\(51\) −0.0200365 + 7.68181i −0.00280567 + 1.07567i
\(52\) −0.772442 1.06318i −0.107118 0.147436i
\(53\) −2.55936 0.831586i −0.351555 0.114227i 0.127916 0.991785i \(-0.459171\pi\)
−0.479471 + 0.877558i \(0.659171\pi\)
\(54\) −4.95425 + 1.56698i −0.674188 + 0.213239i
\(55\) −2.92493 3.32812i −0.394397 0.448763i
\(56\) 1.00000i 0.133631i
\(57\) 0.977524 + 3.03543i 0.129476 + 0.402052i
\(58\) 4.69359 3.41010i 0.616299 0.447768i
\(59\) −3.27016 + 4.50099i −0.425738 + 0.585979i −0.966969 0.254896i \(-0.917959\pi\)
0.541230 + 0.840875i \(0.317959\pi\)
\(60\) 1.86842 + 1.36495i 0.241212 + 0.176214i
\(61\) 0.947855 0.307977i 0.121360 0.0394324i −0.247707 0.968835i \(-0.579677\pi\)
0.369068 + 0.929403i \(0.379677\pi\)
\(62\) 1.77982 + 1.29312i 0.226038 + 0.164226i
\(63\) 2.85797 0.912155i 0.360070 0.114921i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) −1.75561 −0.217757
\(66\) −5.60095 1.27648i −0.689429 0.157124i
\(67\) 10.1583 1.24103 0.620515 0.784195i \(-0.286924\pi\)
0.620515 + 0.784195i \(0.286924\pi\)
\(68\) 1.37052 4.21804i 0.166201 0.511513i
\(69\) −0.855569 + 2.60999i −0.102998 + 0.314206i
\(70\) −1.08078 0.785235i −0.129178 0.0938536i
\(71\) −9.29051 + 3.01867i −1.10258 + 0.358250i −0.803095 0.595851i \(-0.796815\pi\)
−0.299485 + 0.954101i \(0.596815\pi\)
\(72\) 2.99996 + 0.0156497i 0.353549 + 0.00184434i
\(73\) 1.19001 1.63791i 0.139281 0.191703i −0.733678 0.679497i \(-0.762198\pi\)
0.872959 + 0.487793i \(0.162198\pi\)
\(74\) −3.94038 + 2.86286i −0.458060 + 0.332800i
\(75\) −5.30099 + 1.70712i −0.612105 + 0.197121i
\(76\) 1.84114i 0.211193i
\(77\) 3.23562 + 0.728540i 0.368733 + 0.0830249i
\(78\) −1.84496 + 1.33310i −0.208900 + 0.150944i
\(79\) 2.31041 + 0.750697i 0.259941 + 0.0844600i 0.436088 0.899904i \(-0.356364\pi\)
−0.176147 + 0.984364i \(0.556364\pi\)
\(80\) −0.785235 1.08078i −0.0877920 0.120835i
\(81\) 2.69170 + 8.58806i 0.299078 + 0.954229i
\(82\) 2.86778 + 8.82611i 0.316693 + 0.974680i
\(83\) −0.895147 2.75498i −0.0982551 0.302398i 0.889833 0.456286i \(-0.150821\pi\)
−0.988088 + 0.153888i \(0.950821\pi\)
\(84\) −1.73204 0.00451770i −0.188982 0.000492921i
\(85\) −3.48261 4.79340i −0.377742 0.519917i
\(86\) 11.6654 + 3.79030i 1.25791 + 0.408719i
\(87\) −5.88524 8.14492i −0.630963 0.873227i
\(88\) 2.85213 + 1.69274i 0.304038 + 0.180447i
\(89\) 4.50189i 0.477199i 0.971118 + 0.238600i \(0.0766884\pi\)
−0.971118 + 0.238600i \(0.923312\pi\)
\(90\) 2.37259 3.23002i 0.250093 0.340474i
\(91\) 1.06318 0.772442i 0.111451 0.0809739i
\(92\) 0.932094 1.28292i 0.0971775 0.133753i
\(93\) 2.24778 3.07689i 0.233084 0.319059i
\(94\) 6.50739 2.11438i 0.671187 0.218082i
\(95\) −1.98987 1.44573i −0.204157 0.148328i
\(96\) −1.64588 0.539528i −0.167982 0.0550653i
\(97\) 1.67720 5.16190i 0.170294 0.524112i −0.829093 0.559111i \(-0.811143\pi\)
0.999387 + 0.0349987i \(0.0111427\pi\)
\(98\) 1.00000 0.101015
\(99\) −2.23623 + 9.69532i −0.224749 + 0.974417i
\(100\) 3.21531 0.321531
\(101\) 2.54897 7.84493i 0.253632 0.780600i −0.740464 0.672096i \(-0.765394\pi\)
0.994096 0.108504i \(-0.0346059\pi\)
\(102\) −7.29965 2.39287i −0.722773 0.236929i
\(103\) 0.470019 + 0.341489i 0.0463123 + 0.0336479i 0.610701 0.791862i \(-0.290888\pi\)
−0.564388 + 0.825509i \(0.690888\pi\)
\(104\) 1.24984 0.406097i 0.122557 0.0398211i
\(105\) −1.36495 + 1.86842i −0.133205 + 0.182339i
\(106\) 1.58177 2.17712i 0.153635 0.211461i
\(107\) −4.78813 + 3.47878i −0.462886 + 0.336307i −0.794663 0.607051i \(-0.792352\pi\)
0.331776 + 0.943358i \(0.392352\pi\)
\(108\) 0.0406589 5.19599i 0.00391241 0.499985i
\(109\) 17.6027i 1.68603i −0.537890 0.843015i \(-0.680779\pi\)
0.537890 0.843015i \(-0.319221\pi\)
\(110\) 4.06908 1.75333i 0.387971 0.167173i
\(111\) 4.94080 + 6.83786i 0.468960 + 0.649021i
\(112\) 0.951057 + 0.309017i 0.0898664 + 0.0291994i
\(113\) −11.0857 15.2581i −1.04285 1.43537i −0.894843 0.446380i \(-0.852713\pi\)
−0.148011 0.988986i \(-0.547287\pi\)
\(114\) −3.18893 0.00831770i −0.298671 0.000779024i
\(115\) −0.654643 2.01478i −0.0610458 0.187880i
\(116\) 1.79279 + 5.51765i 0.166457 + 0.512301i
\(117\) 2.30066 + 3.20157i 0.212696 + 0.295985i
\(118\) −3.27016 4.50099i −0.301043 0.414349i
\(119\) 4.21804 + 1.37052i 0.386667 + 0.125636i
\(120\) −1.87551 + 1.35518i −0.171210 + 0.123710i
\(121\) −7.55496 + 7.99516i −0.686815 + 0.726832i
\(122\) 0.996634i 0.0902310i
\(123\) 15.3002 4.92724i 1.37957 0.444274i
\(124\) −1.77982 + 1.29312i −0.159833 + 0.116125i
\(125\) 6.45095 8.87897i 0.576991 0.794160i
\(126\) −0.0156497 + 2.99996i −0.00139419 + 0.267258i
\(127\) 16.2682 5.28586i 1.44357 0.469045i 0.520562 0.853824i \(-0.325722\pi\)
0.923009 + 0.384779i \(0.125722\pi\)
\(128\) 0.809017 + 0.587785i 0.0715077 + 0.0519534i
\(129\) 6.61767 20.1878i 0.582654 1.77744i
\(130\) 0.542514 1.66969i 0.0475816 0.146441i
\(131\) 22.1270 1.93324 0.966620 0.256213i \(-0.0824747\pi\)
0.966620 + 0.256213i \(0.0824747\pi\)
\(132\) 2.94479 4.93236i 0.256311 0.429307i
\(133\) 1.84114 0.159647
\(134\) −3.13908 + 9.66108i −0.271175 + 0.834590i
\(135\) −5.58382 4.12402i −0.480578 0.354939i
\(136\) 3.58808 + 2.60689i 0.307675 + 0.223539i
\(137\) −12.3495 + 4.01261i −1.05509 + 0.342820i −0.784665 0.619920i \(-0.787165\pi\)
−0.270427 + 0.962740i \(0.587165\pi\)
\(138\) −2.21786 1.62022i −0.188797 0.137923i
\(139\) 0.559645 0.770285i 0.0474685 0.0653347i −0.784623 0.619973i \(-0.787143\pi\)
0.832091 + 0.554638i \(0.187143\pi\)
\(140\) 1.08078 0.785235i 0.0913429 0.0663645i
\(141\) −3.63280 11.2807i −0.305937 0.950002i
\(142\) 9.76862i 0.819764i
\(143\) 0.403418 + 4.33986i 0.0337355 + 0.362917i
\(144\) −0.941922 + 2.84829i −0.0784935 + 0.237358i
\(145\) 7.37115 + 2.39503i 0.612141 + 0.198897i
\(146\) 1.19001 + 1.63791i 0.0984863 + 0.135555i
\(147\) 0.00451770 1.73204i 0.000372613 0.142857i
\(148\) −1.50509 4.63220i −0.123718 0.380764i
\(149\) −5.69121 17.5157i −0.466242 1.43495i −0.857414 0.514628i \(-0.827930\pi\)
0.391172 0.920318i \(-0.372070\pi\)
\(150\) 0.0145258 5.56907i 0.00118603 0.454712i
\(151\) −3.29311 4.53257i −0.267989 0.368856i 0.653720 0.756736i \(-0.273207\pi\)
−0.921710 + 0.387881i \(0.873207\pi\)
\(152\) 1.75103 + 0.568943i 0.142027 + 0.0461474i
\(153\) −4.17753 + 12.6325i −0.337733 + 1.02128i
\(154\) −1.69274 + 2.85213i −0.136405 + 0.229831i
\(155\) 2.93900i 0.236066i
\(156\) −0.697732 2.16661i −0.0558632 0.173468i
\(157\) −6.90219 + 5.01474i −0.550855 + 0.400220i −0.828101 0.560579i \(-0.810578\pi\)
0.277246 + 0.960799i \(0.410578\pi\)
\(158\) −1.42791 + 1.96535i −0.113598 + 0.156355i
\(159\) −3.76372 2.74953i −0.298483 0.218052i
\(160\) 1.27054 0.412823i 0.100445 0.0326365i
\(161\) 1.28292 + 0.932094i 0.101108 + 0.0734593i
\(162\) −8.99951 0.0938970i −0.707068 0.00737724i
\(163\) −7.73111 + 23.7939i −0.605547 + 1.86368i −0.112563 + 0.993645i \(0.535906\pi\)
−0.492985 + 0.870038i \(0.664094\pi\)
\(164\) −9.28032 −0.724671
\(165\) −3.01846 7.05575i −0.234987 0.549289i
\(166\) 2.89676 0.224832
\(167\) −2.15739 + 6.63975i −0.166943 + 0.513799i −0.999174 0.0406302i \(-0.987063\pi\)
0.832231 + 0.554429i \(0.187063\pi\)
\(168\) 0.539528 1.64588i 0.0416255 0.126982i
\(169\) −9.12004 6.62610i −0.701542 0.509700i
\(170\) 5.63497 1.83091i 0.432183 0.140425i
\(171\) −0.0288133 + 5.52334i −0.00220341 + 0.422380i
\(172\) −7.20958 + 9.92314i −0.549726 + 0.756632i
\(173\) 19.2032 13.9520i 1.46000 1.06075i 0.476632 0.879103i \(-0.341857\pi\)
0.983364 0.181646i \(-0.0581426\pi\)
\(174\) 9.56492 3.08027i 0.725115 0.233515i
\(175\) 3.21531i 0.243055i
\(176\) −2.49125 + 2.18945i −0.187785 + 0.165036i
\(177\) −7.81069 + 5.64373i −0.587087 + 0.424209i
\(178\) −4.28155 1.39116i −0.320916 0.104272i
\(179\) −6.54165 9.00381i −0.488946 0.672976i 0.491247 0.871020i \(-0.336541\pi\)
−0.980193 + 0.198044i \(0.936541\pi\)
\(180\) 2.33876 + 3.25460i 0.174321 + 0.242583i
\(181\) 1.50578 + 4.63431i 0.111924 + 0.344465i 0.991293 0.131675i \(-0.0420355\pi\)
−0.879369 + 0.476140i \(0.842035\pi\)
\(182\) 0.406097 + 1.24984i 0.0301019 + 0.0926441i
\(183\) 1.72621 + 0.00450249i 0.127605 + 0.000332834i
\(184\) 0.932094 + 1.28292i 0.0687149 + 0.0945779i
\(185\) −6.18826 2.01069i −0.454970 0.147829i
\(186\) 2.23169 + 3.08857i 0.163636 + 0.226465i
\(187\) −11.0490 + 9.71043i −0.807981 + 0.710097i
\(188\) 6.84228i 0.499025i
\(189\) 5.19599 + 0.0406589i 0.377953 + 0.00295750i
\(190\) 1.98987 1.44573i 0.144360 0.104884i
\(191\) −5.47828 + 7.54021i −0.396395 + 0.545590i −0.959835 0.280567i \(-0.909478\pi\)
0.563440 + 0.826157i \(0.309478\pi\)
\(192\) 1.02173 1.39860i 0.0737367 0.100935i
\(193\) −18.8963 + 6.13978i −1.36019 + 0.441951i −0.896105 0.443841i \(-0.853615\pi\)
−0.464081 + 0.885793i \(0.653615\pi\)
\(194\) 4.39098 + 3.19023i 0.315254 + 0.229045i
\(195\) −2.88952 0.947201i −0.206923 0.0678305i
\(196\) −0.309017 + 0.951057i −0.0220726 + 0.0679326i
\(197\) −0.0877178 −0.00624963 −0.00312482 0.999995i \(-0.500995\pi\)
−0.00312482 + 0.999995i \(0.500995\pi\)
\(198\) −8.52977 5.12280i −0.606184 0.364061i
\(199\) 22.2531 1.57748 0.788739 0.614728i \(-0.210734\pi\)
0.788739 + 0.614728i \(0.210734\pi\)
\(200\) −0.993586 + 3.05794i −0.0702572 + 0.216229i
\(201\) 16.7192 + 5.48067i 1.17928 + 0.386576i
\(202\) 6.67330 + 4.84843i 0.469532 + 0.341135i
\(203\) −5.51765 + 1.79279i −0.387263 + 0.125829i
\(204\) 4.53147 6.20294i 0.317266 0.434293i
\(205\) −7.28723 + 10.0300i −0.508962 + 0.700527i
\(206\) −0.470019 + 0.341489i −0.0327478 + 0.0237926i
\(207\) −2.81632 + 3.83411i −0.195748 + 0.266489i
\(208\) 1.31416i 0.0911204i
\(209\) −3.11658 + 5.25116i −0.215578 + 0.363230i
\(210\) −1.35518 1.87551i −0.0935163 0.129423i
\(211\) −3.83468 1.24596i −0.263990 0.0857755i 0.174031 0.984740i \(-0.444321\pi\)
−0.438021 + 0.898965i \(0.644321\pi\)
\(212\) 1.58177 + 2.17712i 0.108636 + 0.149525i
\(213\) −16.9197 0.0441317i −1.15932 0.00302385i
\(214\) −1.82890 5.62879i −0.125021 0.384776i
\(215\) 5.06355 + 15.5840i 0.345331 + 1.06282i
\(216\) 4.92912 + 1.64432i 0.335384 + 0.111882i
\(217\) −1.29312 1.77982i −0.0877824 0.120822i
\(218\) 16.7411 + 5.43952i 1.13385 + 0.368411i
\(219\) 2.84232 2.05376i 0.192066 0.138780i
\(220\) 0.410099 + 4.41173i 0.0276489 + 0.297439i
\(221\) 5.82843i 0.392063i
\(222\) −8.02998 + 2.58596i −0.538937 + 0.173558i
\(223\) −21.3109 + 15.4833i −1.42708 + 1.03684i −0.436533 + 0.899688i \(0.643794\pi\)
−0.990550 + 0.137149i \(0.956206\pi\)
\(224\) −0.587785 + 0.809017i −0.0392731 + 0.0540547i
\(225\) −9.64581 0.0503187i −0.643054 0.00335458i
\(226\) 17.9370 5.82809i 1.19315 0.387679i
\(227\) −6.27281 4.55747i −0.416341 0.302490i 0.359823 0.933021i \(-0.382837\pi\)
−0.776164 + 0.630531i \(0.782837\pi\)
\(228\) 0.993345 3.03029i 0.0657859 0.200686i
\(229\) 2.44050 7.51108i 0.161273 0.496346i −0.837470 0.546484i \(-0.815966\pi\)
0.998742 + 0.0501378i \(0.0159660\pi\)
\(230\) 2.11847 0.139688
\(231\) 4.93236 + 2.94479i 0.324526 + 0.193753i
\(232\) −5.80160 −0.380894
\(233\) −1.28395 + 3.95158i −0.0841142 + 0.258877i −0.984264 0.176703i \(-0.943457\pi\)
0.900150 + 0.435580i \(0.143457\pi\)
\(234\) −3.75582 + 1.19871i −0.245525 + 0.0783624i
\(235\) 7.39502 + 5.37280i 0.482398 + 0.350483i
\(236\) 5.29123 1.71922i 0.344430 0.111912i
\(237\) 3.39762 + 2.48208i 0.220699 + 0.161229i
\(238\) −2.60689 + 3.58808i −0.168980 + 0.232581i
\(239\) −1.60140 + 1.16349i −0.103586 + 0.0752598i −0.638373 0.769728i \(-0.720392\pi\)
0.534786 + 0.844987i \(0.320392\pi\)
\(240\) −0.709287 2.20249i −0.0457843 0.142170i
\(241\) 15.2295i 0.981019i 0.871436 + 0.490510i \(0.163189\pi\)
−0.871436 + 0.490510i \(0.836811\pi\)
\(242\) −5.26923 9.65584i −0.338719 0.620701i
\(243\) −0.203291 + 15.5871i −0.0130411 + 0.999915i
\(244\) −0.947855 0.307977i −0.0606802 0.0197162i
\(245\) 0.785235 + 1.08078i 0.0501668 + 0.0690487i
\(246\) −0.0419257 + 16.0739i −0.00267308 + 1.02484i
\(247\) 0.747680 + 2.30112i 0.0475738 + 0.146417i
\(248\) −0.679831 2.09231i −0.0431693 0.132862i
\(249\) 0.0130867 5.01731i 0.000829334 0.317959i
\(250\) 6.45095 + 8.87897i 0.407994 + 0.561556i
\(251\) 20.8302 + 6.76813i 1.31479 + 0.427201i 0.880702 0.473670i \(-0.157071\pi\)
0.434087 + 0.900871i \(0.357071\pi\)
\(252\) −2.84829 0.941922i −0.179426 0.0593355i
\(253\) −4.83010 + 2.08124i −0.303666 + 0.130847i
\(254\) 17.1054i 1.07329i
\(255\) −3.14577 9.76830i −0.196996 0.611715i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) 3.88516 5.34747i 0.242350 0.333566i −0.670464 0.741942i \(-0.733905\pi\)
0.912814 + 0.408376i \(0.133905\pi\)
\(258\) 17.1548 + 12.5322i 1.06801 + 0.780218i
\(259\) 4.63220 1.50509i 0.287831 0.0935219i
\(260\) 1.42032 + 1.03192i 0.0880845 + 0.0639971i
\(261\) −5.29196 16.5808i −0.327564 1.02632i
\(262\) −6.83760 + 21.0440i −0.422429 + 1.30010i
\(263\) 17.2276 1.06230 0.531150 0.847278i \(-0.321760\pi\)
0.531150 + 0.847278i \(0.321760\pi\)
\(264\) 3.78096 + 4.32485i 0.232702 + 0.266176i
\(265\) 3.59506 0.220843
\(266\) −0.568943 + 1.75103i −0.0348841 + 0.107362i
\(267\) −2.42890 + 7.40956i −0.148646 + 0.453457i
\(268\) −8.21821 5.97088i −0.502007 0.364729i
\(269\) −3.93159 + 1.27745i −0.239713 + 0.0778875i −0.426410 0.904530i \(-0.640222\pi\)
0.186697 + 0.982418i \(0.440222\pi\)
\(270\) 5.64767 4.03613i 0.343706 0.245631i
\(271\) −11.0858 + 15.2584i −0.673417 + 0.926879i −0.999832 0.0183478i \(-0.994159\pi\)
0.326415 + 0.945227i \(0.394159\pi\)
\(272\) −3.58808 + 2.60689i −0.217559 + 0.158066i
\(273\) 2.16661 0.697732i 0.131129 0.0422286i
\(274\) 12.9851i 0.784457i
\(275\) −9.17047 5.44270i −0.553000 0.328207i
\(276\) 2.22628 1.60863i 0.134006 0.0968283i
\(277\) −27.6385 8.98031i −1.66064 0.539574i −0.679633 0.733552i \(-0.737861\pi\)
−0.981006 + 0.193977i \(0.937861\pi\)
\(278\) 0.559645 + 0.770285i 0.0335653 + 0.0461986i
\(279\) 5.35963 3.85144i 0.320873 0.230580i
\(280\) 0.412823 + 1.27054i 0.0246709 + 0.0759291i
\(281\) −1.92276 5.91765i −0.114702 0.353017i 0.877183 0.480157i \(-0.159420\pi\)
−0.991885 + 0.127140i \(0.959420\pi\)
\(282\) 11.8511 + 0.0309114i 0.705725 + 0.00184074i
\(283\) −1.66599 2.29304i −0.0990329 0.136307i 0.756625 0.653849i \(-0.226847\pi\)
−0.855658 + 0.517542i \(0.826847\pi\)
\(284\) 9.29051 + 3.01867i 0.551290 + 0.179125i
\(285\) −2.49507 3.45308i −0.147795 0.204543i
\(286\) −4.25211 0.957416i −0.251433 0.0566132i
\(287\) 9.28032i 0.547800i
\(288\) −2.41782 1.77599i −0.142471 0.104651i
\(289\) −2.16025 + 1.56951i −0.127073 + 0.0923241i
\(290\) −4.55562 + 6.27028i −0.267515 + 0.368203i
\(291\) 5.54546 7.59096i 0.325081 0.444990i
\(292\) −1.92548 + 0.625628i −0.112680 + 0.0366121i
\(293\) −5.14528 3.73827i −0.300591 0.218392i 0.427258 0.904130i \(-0.359480\pi\)
−0.727849 + 0.685738i \(0.759480\pi\)
\(294\) 1.64588 + 0.539528i 0.0959895 + 0.0314659i
\(295\) 2.29675 7.06867i 0.133722 0.411554i
\(296\) 4.87058 0.283097
\(297\) −8.91145 + 14.7508i −0.517095 + 0.855928i
\(298\) 18.4171 1.06688
\(299\) −0.643977 + 1.98196i −0.0372422 + 0.114620i
\(300\) 5.29201 + 1.73475i 0.305534 + 0.100156i
\(301\) −9.92314 7.20958i −0.571960 0.415553i
\(302\) 5.32836 1.73129i 0.306613 0.0996245i
\(303\) 8.42786 11.5365i 0.484168 0.662757i
\(304\) −1.08219 + 1.48951i −0.0620681 + 0.0854294i
\(305\) −1.07715 + 0.782592i −0.0616772 + 0.0448111i
\(306\) −10.7233 7.87672i −0.613010 0.450282i
\(307\) 31.2341i 1.78263i 0.453388 + 0.891313i \(0.350215\pi\)
−0.453388 + 0.891313i \(0.649785\pi\)
\(308\) −2.18945 2.49125i −0.124755 0.141952i
\(309\) 0.589350 + 0.815637i 0.0335270 + 0.0463999i
\(310\) −2.79516 0.908202i −0.158754 0.0515824i
\(311\) 5.62994 + 7.74895i 0.319245 + 0.439403i 0.938236 0.345995i \(-0.112459\pi\)
−0.618992 + 0.785398i \(0.712459\pi\)
\(312\) 2.27618 + 0.00593696i 0.128863 + 0.000336114i
\(313\) −2.62716 8.08557i −0.148496 0.457024i 0.848948 0.528476i \(-0.177236\pi\)
−0.997444 + 0.0714528i \(0.977236\pi\)
\(314\) −2.63640 8.11402i −0.148781 0.457900i
\(315\) −3.25460 + 2.33876i −0.183376 + 0.131774i
\(316\) −1.42791 1.96535i −0.0803262 0.110560i
\(317\) 10.5951 + 3.44255i 0.595079 + 0.193353i 0.591044 0.806639i \(-0.298716\pi\)
0.00403435 + 0.999992i \(0.498716\pi\)
\(318\) 3.77801 2.72986i 0.211861 0.153083i
\(319\) 4.22670 18.7718i 0.236650 1.05102i
\(320\) 1.33592i 0.0746803i
\(321\) −9.75758 + 3.14232i −0.544615 + 0.175387i
\(322\) −1.28292 + 0.932094i −0.0714942 + 0.0519436i
\(323\) −4.79965 + 6.60615i −0.267060 + 0.367576i
\(324\) 2.87030 8.53003i 0.159461 0.473890i
\(325\) −4.01862 + 1.30573i −0.222913 + 0.0724288i
\(326\) −20.2403 14.7054i −1.12101 0.814459i
\(327\) 9.49713 28.9718i 0.525192 1.60214i
\(328\) 2.86778 8.82611i 0.158346 0.487340i
\(329\) −6.84228 −0.377227
\(330\) 7.64317 0.690379i 0.420743 0.0380041i
\(331\) 23.8581 1.31136 0.655681 0.755038i \(-0.272382\pi\)
0.655681 + 0.755038i \(0.272382\pi\)
\(332\) −0.895147 + 2.75498i −0.0491276 + 0.151199i
\(333\) 4.44272 + 13.9200i 0.243460 + 0.762809i
\(334\) −5.64811 4.10359i −0.309051 0.224539i
\(335\) −12.9065 + 4.19356i −0.705155 + 0.229119i
\(336\) 1.39860 + 1.02173i 0.0762998 + 0.0557397i
\(337\) −4.96962 + 6.84009i −0.270712 + 0.372603i −0.922630 0.385686i \(-0.873965\pi\)
0.651918 + 0.758290i \(0.273965\pi\)
\(338\) 9.12004 6.62610i 0.496065 0.360412i
\(339\) −10.0135 31.0941i −0.543858 1.68880i
\(340\) 5.92496i 0.321326i
\(341\) 7.26519 0.675346i 0.393432 0.0365720i
\(342\) −5.24410 1.73421i −0.283569 0.0937753i
\(343\) −0.951057 0.309017i −0.0513522 0.0166853i
\(344\) −7.20958 9.92314i −0.388715 0.535020i
\(345\) 0.00957060 3.66928i 0.000515264 0.197548i
\(346\) 7.33499 + 22.5748i 0.394331 + 1.21363i
\(347\) 5.67216 + 17.4571i 0.304497 + 0.937146i 0.979864 + 0.199664i \(0.0639852\pi\)
−0.675367 + 0.737482i \(0.736015\pi\)
\(348\) −0.0262099 + 10.0486i −0.00140500 + 0.538663i
\(349\) −19.0753 26.2549i −1.02108 1.40539i −0.911447 0.411419i \(-0.865033\pi\)
−0.109630 0.993972i \(-0.534967\pi\)
\(350\) −3.05794 0.993586i −0.163454 0.0531094i
\(351\) 2.05926 + 6.51066i 0.109915 + 0.347513i
\(352\) −1.31245 3.04590i −0.0699537 0.162347i
\(353\) 15.6790i 0.834511i −0.908789 0.417256i \(-0.862992\pi\)
0.908789 0.417256i \(-0.137008\pi\)
\(354\) −2.95387 9.17241i −0.156996 0.487508i
\(355\) 10.5578 7.67067i 0.560348 0.407117i
\(356\) 2.64614 3.64211i 0.140245 0.193031i
\(357\) 6.20294 + 4.53147i 0.328294 + 0.239831i
\(358\) 10.5846 3.43915i 0.559414 0.181765i
\(359\) −12.8921 9.36667i −0.680420 0.494354i 0.193077 0.981184i \(-0.438153\pi\)
−0.873497 + 0.486830i \(0.838153\pi\)
\(360\) −3.81802 + 1.21857i −0.201227 + 0.0642241i
\(361\) 4.82382 14.8462i 0.253885 0.781379i
\(362\) −4.87280 −0.256109
\(363\) −16.7481 + 9.08293i −0.879050 + 0.476730i
\(364\) −1.31416 −0.0688805
\(365\) −0.835790 + 2.57230i −0.0437472 + 0.134640i
\(366\) −0.537712 + 1.64034i −0.0281066 + 0.0857418i
\(367\) 22.1106 + 16.0643i 1.15416 + 0.838550i 0.989029 0.147721i \(-0.0471937\pi\)
0.165136 + 0.986271i \(0.447194\pi\)
\(368\) −1.50816 + 0.490031i −0.0786183 + 0.0255446i
\(369\) 27.8406 + 0.145234i 1.44932 + 0.00756059i
\(370\) 3.82455 5.26405i 0.198829 0.273665i
\(371\) −2.17712 + 1.58177i −0.113030 + 0.0821214i
\(372\) −3.62704 + 1.16805i −0.188053 + 0.0605604i
\(373\) 19.6187i 1.01582i 0.861410 + 0.507910i \(0.169582\pi\)
−0.861410 + 0.507910i \(0.830418\pi\)
\(374\) −5.82085 13.5089i −0.300989 0.698528i
\(375\) 15.4079 11.1332i 0.795662 0.574917i
\(376\) −6.50739 2.11438i −0.335593 0.109041i
\(377\) −4.48140 6.16812i −0.230804 0.317674i
\(378\) −1.64432 + 4.92912i −0.0845747 + 0.253527i
\(379\) 0.160011 + 0.492464i 0.00821923 + 0.0252962i 0.955082 0.296342i \(-0.0957667\pi\)
−0.946863 + 0.321638i \(0.895767\pi\)
\(380\) 0.760063 + 2.33923i 0.0389904 + 0.120000i
\(381\) 29.6274 + 0.0772771i 1.51786 + 0.00395903i
\(382\) −5.47828 7.54021i −0.280293 0.385791i
\(383\) −8.81727 2.86491i −0.450542 0.146390i 0.0749525 0.997187i \(-0.476119\pi\)
−0.525494 + 0.850797i \(0.676119\pi\)
\(384\) 1.01442 + 1.40391i 0.0517667 + 0.0716429i
\(385\) −4.41173 + 0.410099i −0.224843 + 0.0209006i
\(386\) 19.8688i 1.01129i
\(387\) 21.7838 29.6562i 1.10733 1.50751i
\(388\) −4.39098 + 3.19023i −0.222918 + 0.161960i
\(389\) 4.92116 6.77339i 0.249513 0.343425i −0.665828 0.746105i \(-0.731921\pi\)
0.915341 + 0.402681i \(0.131921\pi\)
\(390\) 1.79375 2.45539i 0.0908302 0.124334i
\(391\) −6.68886 + 2.17334i −0.338270 + 0.109911i
\(392\) −0.809017 0.587785i −0.0408615 0.0296876i
\(393\) 36.4182 + 11.9381i 1.83706 + 0.602198i
\(394\) 0.0271063 0.0834246i 0.00136559 0.00420287i
\(395\) −3.24536 −0.163292
\(396\) 7.50791 6.52926i 0.377287 0.328108i
\(397\) 37.8107 1.89766 0.948831 0.315783i \(-0.102267\pi\)
0.948831 + 0.315783i \(0.102267\pi\)
\(398\) −6.87658 + 21.1639i −0.344692 + 1.06085i
\(399\) 3.03029 + 0.993345i 0.151704 + 0.0497295i
\(400\) −2.60124 1.88991i −0.130062 0.0944957i
\(401\) −26.6260 + 8.65130i −1.32964 + 0.432025i −0.885794 0.464079i \(-0.846385\pi\)
−0.443844 + 0.896104i \(0.646385\pi\)
\(402\) −10.3790 + 14.2073i −0.517655 + 0.708597i
\(403\) 1.69936 2.33896i 0.0846510 0.116512i
\(404\) −6.67330 + 4.84843i −0.332009 + 0.241219i
\(405\) −6.96525 9.80025i −0.346106 0.486979i
\(406\) 5.80160i 0.287929i
\(407\) −3.54842 + 15.7593i −0.175888 + 0.781162i
\(408\) 4.49905 + 6.22649i 0.222736 + 0.308257i
\(409\) 12.0049 + 3.90063i 0.593604 + 0.192874i 0.590386 0.807121i \(-0.298976\pi\)
0.00321826 + 0.999995i \(0.498976\pi\)
\(410\) −7.28723 10.0300i −0.359891 0.495347i
\(411\) −22.4907 0.0586626i −1.10939 0.00289362i
\(412\) −0.179531 0.552540i −0.00884487 0.0272217i
\(413\) 1.71922 + 5.29123i 0.0845975 + 0.260364i
\(414\) −2.77617 3.86329i −0.136441 0.189870i
\(415\) 2.27463 + 3.13077i 0.111657 + 0.153683i
\(416\) −1.24984 0.406097i −0.0612783 0.0199105i
\(417\) 1.33670 0.965850i 0.0654583 0.0472979i
\(418\) −4.03107 4.58674i −0.197166 0.224345i
\(419\) 26.7514i 1.30689i −0.756974 0.653445i \(-0.773323\pi\)
0.756974 0.653445i \(-0.226677\pi\)
\(420\) 2.20249 0.709287i 0.107471 0.0346097i
\(421\) −19.9705 + 14.5094i −0.973303 + 0.707146i −0.956202 0.292708i \(-0.905444\pi\)
−0.0171009 + 0.999854i \(0.505444\pi\)
\(422\) 2.36996 3.26197i 0.115368 0.158790i
\(423\) 0.107080 20.5266i 0.00520639 0.998036i
\(424\) −2.55936 + 0.831586i −0.124293 + 0.0403854i
\(425\) −11.5368 8.38198i −0.559617 0.406586i
\(426\) 5.27044 16.0779i 0.255354 0.778979i
\(427\) 0.307977 0.947855i 0.0149040 0.0458699i
\(428\) 5.91846 0.286080
\(429\) −1.67750 + 7.36052i −0.0809903 + 0.355369i
\(430\) −16.3860 −0.790202
\(431\) −2.31103 + 7.11262i −0.111318 + 0.342603i −0.991161 0.132662i \(-0.957648\pi\)
0.879843 + 0.475264i \(0.157648\pi\)
\(432\) −3.08702 + 4.17975i −0.148524 + 0.201098i
\(433\) 32.6963 + 23.7553i 1.57129 + 1.14161i 0.925912 + 0.377740i \(0.123299\pi\)
0.645374 + 0.763867i \(0.276701\pi\)
\(434\) 2.09231 0.679831i 0.100434 0.0326330i
\(435\) 10.8398 + 7.91887i 0.519730 + 0.379681i
\(436\) −10.3466 + 14.2409i −0.495512 + 0.682013i
\(437\) −2.36203 + 1.71611i −0.112991 + 0.0820929i
\(438\) 1.07492 + 3.33785i 0.0513615 + 0.159489i
\(439\) 25.6790i 1.22559i −0.790241 0.612796i \(-0.790045\pi\)
0.790241 0.612796i \(-0.209955\pi\)
\(440\) −4.32253 0.973273i −0.206069 0.0463990i
\(441\) 0.941922 2.84829i 0.0448534 0.135633i
\(442\) −5.54317 1.80108i −0.263662 0.0856689i
\(443\) 9.26806 + 12.7564i 0.440339 + 0.606074i 0.970287 0.241955i \(-0.0777888\pi\)
−0.529949 + 0.848030i \(0.677789\pi\)
\(444\) 0.0220038 8.43607i 0.00104426 0.400358i
\(445\) −1.85848 5.71982i −0.0881005 0.271145i
\(446\) −8.14004 25.0525i −0.385442 1.18627i
\(447\) 0.0832031 31.8993i 0.00393537 1.50879i
\(448\) −0.587785 0.809017i −0.0277702 0.0382225i
\(449\) −9.27004 3.01202i −0.437480 0.142146i 0.0819925 0.996633i \(-0.473872\pi\)
−0.519473 + 0.854487i \(0.673872\pi\)
\(450\) 3.02857 9.15816i 0.142768 0.431720i
\(451\) 26.4686 + 15.7092i 1.24636 + 0.739717i
\(452\) 18.8601i 0.887105i
\(453\) −2.97460 9.23678i −0.139759 0.433982i
\(454\) 6.27281 4.55747i 0.294398 0.213892i
\(455\) −1.03192 + 1.42032i −0.0483773 + 0.0665856i
\(456\) 2.57501 + 1.88114i 0.120586 + 0.0880923i
\(457\) 8.11990 2.63831i 0.379833 0.123415i −0.112877 0.993609i \(-0.536007\pi\)
0.492710 + 0.870194i \(0.336007\pi\)
\(458\) 6.38930 + 4.64210i 0.298553 + 0.216911i
\(459\) −13.6913 + 18.5376i −0.639054 + 0.865263i
\(460\) −0.654643 + 2.01478i −0.0305229 + 0.0939398i
\(461\) 33.7406 1.57146 0.785729 0.618570i \(-0.212288\pi\)
0.785729 + 0.618570i \(0.212288\pi\)
\(462\) −4.32485 + 3.78096i −0.201210 + 0.175906i
\(463\) −22.3502 −1.03870 −0.519350 0.854561i \(-0.673826\pi\)
−0.519350 + 0.854561i \(0.673826\pi\)
\(464\) 1.79279 5.51765i 0.0832284 0.256151i
\(465\) −1.58567 + 4.83724i −0.0735339 + 0.224321i
\(466\) −3.36142 2.44221i −0.155715 0.113133i
\(467\) −9.27761 + 3.01448i −0.429316 + 0.139493i −0.515701 0.856768i \(-0.672469\pi\)
0.0863848 + 0.996262i \(0.472469\pi\)
\(468\) 0.0205662 3.94242i 0.000950672 0.182238i
\(469\) 5.97088 8.21821i 0.275709 0.379482i
\(470\) −7.39502 + 5.37280i −0.341107 + 0.247829i
\(471\) −14.0658 + 4.52971i −0.648116 + 0.208718i
\(472\) 5.56353i 0.256082i
\(473\) 37.3600 16.0981i 1.71781 0.740189i
\(474\) −3.41052 + 2.46432i −0.156651 + 0.113190i
\(475\) −5.63010 1.82933i −0.258327 0.0839354i
\(476\) −2.60689 3.58808i −0.119487 0.164459i
\(477\) −4.71117 6.55602i −0.215710 0.300180i
\(478\) −0.611682 1.88256i −0.0279777 0.0861064i
\(479\) 12.4391 + 38.2836i 0.568356 + 1.74922i 0.657763 + 0.753225i \(0.271503\pi\)
−0.0894065 + 0.995995i \(0.528497\pi\)
\(480\) 2.31388 + 0.00603529i 0.105614 + 0.000275472i
\(481\) 3.76224 + 5.17828i 0.171544 + 0.236109i
\(482\) −14.4841 4.70618i −0.659734 0.214361i
\(483\) 1.60863 + 2.22628i 0.0731953 + 0.101299i
\(484\) 10.8115 2.02752i 0.491433 0.0921601i
\(485\) 7.25078i 0.329241i
\(486\) −14.7614 5.01003i −0.669592 0.227260i
\(487\) −10.0198 + 7.27979i −0.454039 + 0.329879i −0.791188 0.611573i \(-0.790537\pi\)
0.337149 + 0.941451i \(0.390537\pi\)
\(488\) 0.585807 0.806294i 0.0265182 0.0364992i
\(489\) −25.5619 + 34.9907i −1.15595 + 1.58233i
\(490\) −1.27054 + 0.412823i −0.0573970 + 0.0186494i
\(491\) 12.2634 + 8.90989i 0.553440 + 0.402098i 0.829052 0.559171i \(-0.188881\pi\)
−0.275612 + 0.961269i \(0.588881\pi\)
\(492\) −15.2743 5.00699i −0.688617 0.225733i
\(493\) 7.95124 24.4714i 0.358106 1.10214i
\(494\) −2.41954 −0.108860
\(495\) −1.16124 13.2414i −0.0521938 0.595158i
\(496\) 2.19998 0.0987820
\(497\) −3.01867 + 9.29051i −0.135406 + 0.416736i
\(498\) 4.76770 + 1.56288i 0.213646 + 0.0700343i
\(499\) −18.4045 13.3717i −0.823900 0.598598i 0.0939273 0.995579i \(-0.470058\pi\)
−0.917827 + 0.396981i \(0.870058\pi\)
\(500\) −10.4379 + 3.39147i −0.466795 + 0.151671i
\(501\) −7.13312 + 9.76424i −0.318684 + 0.436234i
\(502\) −12.8738 + 17.7192i −0.574584 + 0.790847i
\(503\) −14.0659 + 10.2195i −0.627169 + 0.455665i −0.855418 0.517938i \(-0.826700\pi\)
0.228249 + 0.973603i \(0.426700\pi\)
\(504\) 1.77599 2.41782i 0.0791090 0.107698i
\(505\) 11.0196i 0.490364i
\(506\) −0.486798 5.23684i −0.0216408 0.232806i
\(507\) −11.4355 15.8263i −0.507868 0.702869i
\(508\) −16.2682 5.28586i −0.721785 0.234522i
\(509\) −17.1398 23.5910i −0.759710 1.04565i −0.997238 0.0742703i \(-0.976337\pi\)
0.237528 0.971381i \(-0.423663\pi\)
\(510\) 10.2623 + 0.0267672i 0.454422 + 0.00118527i
\(511\) −0.625628 1.92548i −0.0276761 0.0851784i
\(512\) −0.309017 0.951057i −0.0136568 0.0420312i
\(513\) −3.02742 + 9.07519i −0.133664 + 0.400679i
\(514\) 3.88516 + 5.34747i 0.171367 + 0.235867i
\(515\) −0.738151 0.239840i −0.0325268 0.0105686i
\(516\) −17.2199 + 12.4425i −0.758064 + 0.547750i
\(517\) 11.5822 19.5150i 0.509386 0.858270i
\(518\) 4.87058i 0.214001i
\(519\) 39.1337 12.6025i 1.71778 0.553190i
\(520\) −1.42032 + 1.03192i −0.0622851 + 0.0452528i
\(521\) 8.80000 12.1122i 0.385535 0.530643i −0.571505 0.820598i \(-0.693640\pi\)
0.957040 + 0.289955i \(0.0936404\pi\)
\(522\) 17.4046 + 0.0907934i 0.761777 + 0.00397392i
\(523\) −30.3008 + 9.84533i −1.32496 + 0.430506i −0.884196 0.467116i \(-0.845293\pi\)
−0.440766 + 0.897622i \(0.645293\pi\)
\(524\) −17.9011 13.0059i −0.782012 0.568165i
\(525\) −1.73475 + 5.29201i −0.0757107 + 0.230962i
\(526\) −5.32363 + 16.3844i −0.232121 + 0.714395i
\(527\) 9.75716 0.425029
\(528\) −5.28156 + 2.25946i −0.229850 + 0.0983303i
\(529\) 20.4853 0.890666
\(530\) −1.11093 + 3.41910i −0.0482559 + 0.148516i
\(531\) −15.9004 + 5.07480i −0.690017 + 0.220227i
\(532\) −1.48951 1.08219i −0.0645785 0.0469190i
\(533\) 11.5989 3.76871i 0.502404 0.163241i
\(534\) −6.29634 4.59970i −0.272469 0.199048i
\(535\) 4.64738 6.39657i 0.200924 0.276548i
\(536\) 8.21821 5.97088i 0.354972 0.257903i
\(537\) −5.90894 18.3486i −0.254990 0.791799i
\(538\) 4.13391i 0.178226i
\(539\) 2.49125 2.18945i 0.107306 0.0943061i
\(540\) 2.09336 + 6.61849i 0.0900841 + 0.284814i
\(541\) 16.6225 + 5.40098i 0.714658 + 0.232206i 0.643706 0.765273i \(-0.277396\pi\)
0.0709524 + 0.997480i \(0.477396\pi\)
\(542\) −11.0858 15.2584i −0.476178 0.655402i
\(543\) −0.0220138 + 8.43991i −0.000944704 + 0.362191i
\(544\) −1.37052 4.21804i −0.0587608 0.180847i
\(545\) 7.26678 + 22.3648i 0.311275 + 0.958005i
\(546\) −0.00593696 + 2.27618i −0.000254079 + 0.0974115i
\(547\) 5.58376 + 7.68538i 0.238744 + 0.328603i 0.911530 0.411235i \(-0.134902\pi\)
−0.672785 + 0.739838i \(0.734902\pi\)
\(548\) 12.3495 + 4.01261i 0.527546 + 0.171410i
\(549\) 2.83871 + 0.938752i 0.121153 + 0.0400649i
\(550\) 8.01015 7.03975i 0.341554 0.300176i
\(551\) 10.6815i 0.455049i
\(552\) 0.841942 + 2.61441i 0.0358354 + 0.111277i
\(553\) 1.96535 1.42791i 0.0835751 0.0607209i
\(554\) 17.0816 23.5108i 0.725726 0.998876i
\(555\) −9.10029 6.64808i −0.386286 0.282195i
\(556\) −0.905525 + 0.294223i −0.0384028 + 0.0124778i
\(557\) −13.3522 9.70098i −0.565753 0.411044i 0.267807 0.963473i \(-0.413701\pi\)
−0.833560 + 0.552429i \(0.813701\pi\)
\(558\) 2.00672 + 6.28747i 0.0849513 + 0.266170i
\(559\) 4.98105 15.3301i 0.210676 0.648394i
\(560\) −1.33592 −0.0564530
\(561\) −23.4243 + 10.0209i −0.988975 + 0.423085i
\(562\) 6.22218 0.262467
\(563\) −0.343730 + 1.05789i −0.0144865 + 0.0445848i −0.958038 0.286640i \(-0.907462\pi\)
0.943552 + 0.331225i \(0.107462\pi\)
\(564\) −3.69160 + 11.2615i −0.155444 + 0.474197i
\(565\) 20.3837 + 14.8096i 0.857549 + 0.623045i
\(566\) 2.69563 0.875863i 0.113306 0.0368153i
\(567\) 8.53003 + 2.87030i 0.358227 + 0.120541i
\(568\) −5.74185 + 7.90298i −0.240923 + 0.331602i
\(569\) −14.2406 + 10.3464i −0.596999 + 0.433745i −0.844812 0.535063i \(-0.820288\pi\)
0.247814 + 0.968808i \(0.420288\pi\)
\(570\) 4.05509 1.30590i 0.169849 0.0546980i
\(571\) 30.6367i 1.28211i −0.767497 0.641053i \(-0.778498\pi\)
0.767497 0.641053i \(-0.221502\pi\)
\(572\) 2.22453 3.74814i 0.0930123 0.156718i
\(573\) −13.0847 + 9.45457i −0.546623 + 0.394970i
\(574\) 8.82611 + 2.86778i 0.368395 + 0.119699i
\(575\) −2.99697 4.12498i −0.124982 0.172024i
\(576\) 2.43622 1.75067i 0.101509 0.0729446i
\(577\) 8.53172 + 26.2579i 0.355180 + 1.09313i 0.955905 + 0.293676i \(0.0948787\pi\)
−0.600725 + 0.799456i \(0.705121\pi\)
\(578\) −0.825141 2.53952i −0.0343213 0.105630i
\(579\) −34.4136 0.0897611i −1.43018 0.00373034i
\(580\) −4.55562 6.27028i −0.189162 0.260359i
\(581\) −2.75498 0.895147i −0.114296 0.0371369i
\(582\) 5.50579 + 7.61978i 0.228222 + 0.315850i
\(583\) −0.826099 8.88695i −0.0342135 0.368060i
\(584\) 2.02457i 0.0837775i
\(585\) −4.24475 3.11795i −0.175499 0.128911i
\(586\) 5.14528 3.73827i 0.212550 0.154426i
\(587\) 19.4917 26.8280i 0.804509 1.10731i −0.187638 0.982238i \(-0.560083\pi\)
0.992147 0.125074i \(-0.0399168\pi\)
\(588\) −1.02173 + 1.39860i −0.0421352 + 0.0576772i
\(589\) 3.85222 1.25166i 0.158728 0.0515739i
\(590\) 6.01297 + 4.36868i 0.247550 + 0.179856i
\(591\) −0.144373 0.0473262i −0.00593870 0.00194674i
\(592\) −1.50509 + 4.63220i −0.0618589 + 0.190382i
\(593\) −16.9440 −0.695806 −0.347903 0.937530i \(-0.613106\pi\)
−0.347903 + 0.937530i \(0.613106\pi\)
\(594\) −11.2751 13.0335i −0.462621 0.534773i
\(595\) −5.92496 −0.242900
\(596\) −5.69121 + 17.5157i −0.233121 + 0.717473i
\(597\) 36.6258 + 12.0062i 1.49899 + 0.491379i
\(598\) −1.68595 1.22492i −0.0689438 0.0500906i
\(599\) 23.1461 7.52064i 0.945726 0.307285i 0.204748 0.978815i \(-0.434362\pi\)
0.740978 + 0.671530i \(0.234362\pi\)
\(600\) −3.28517 + 4.49693i −0.134116 + 0.183586i
\(601\) 12.9713 17.8535i 0.529111 0.728259i −0.457884 0.889012i \(-0.651392\pi\)
0.986995 + 0.160754i \(0.0513924\pi\)
\(602\) 9.92314 7.20958i 0.404437 0.293841i
\(603\) 24.5608 + 18.0410i 1.00019 + 0.734686i
\(604\) 5.60257i 0.227965i
\(605\) 6.29828 13.2770i 0.256062 0.539787i
\(606\) 8.36756 + 11.5804i 0.339909 + 0.470420i
\(607\) −22.7087 7.37852i −0.921719 0.299485i −0.190547 0.981678i \(-0.561026\pi\)
−0.731172 + 0.682193i \(0.761026\pi\)
\(608\) −1.08219 1.48951i −0.0438888 0.0604077i
\(609\) −10.0486 0.0262099i −0.407191 0.00106208i
\(610\) −0.411433 1.26626i −0.0166584 0.0512694i
\(611\) −2.77863 8.55174i −0.112411 0.345966i
\(612\) 10.8049 7.76442i 0.436762 0.313858i
\(613\) 7.34984 + 10.1162i 0.296857 + 0.408589i 0.931226 0.364441i \(-0.118740\pi\)
−0.634369 + 0.773030i \(0.718740\pi\)
\(614\) −29.7054 9.65188i −1.19881 0.389518i
\(615\) −17.4054 + 12.5765i −0.701852 + 0.507133i
\(616\) 3.04590 1.31245i 0.122723 0.0528800i
\(617\) 0.796396i 0.0320617i 0.999871 + 0.0160309i \(0.00510300\pi\)
−0.999871 + 0.0160309i \(0.994897\pi\)
\(618\) −0.957836 + 0.308460i −0.0385298 + 0.0124081i
\(619\) 2.40565 1.74781i 0.0966913 0.0702504i −0.538389 0.842696i \(-0.680967\pi\)
0.635080 + 0.772446i \(0.280967\pi\)
\(620\) 1.72750 2.37770i 0.0693782 0.0954908i
\(621\) −6.70393 + 4.79099i −0.269019 + 0.192256i
\(622\) −9.10944 + 2.95984i −0.365255 + 0.118679i
\(623\) 3.64211 + 2.64614i 0.145918 + 0.106016i
\(624\) −0.709024 + 2.16294i −0.0283837 + 0.0865869i
\(625\) 0.437197 1.34555i 0.0174879 0.0538221i
\(626\) 8.50167 0.339795
\(627\) −7.96264 + 6.96127i −0.317997 + 0.278007i
\(628\) 8.53158 0.340447
\(629\) −6.67525 + 20.5443i −0.266160 + 0.819156i
\(630\) −1.21857 3.81802i −0.0485489 0.152114i
\(631\) −12.3504 8.97309i −0.491662 0.357213i 0.314161 0.949370i \(-0.398277\pi\)
−0.805823 + 0.592156i \(0.798277\pi\)
\(632\) 2.31041 0.750697i 0.0919030 0.0298611i
\(633\) −5.63917 4.11961i −0.224137 0.163740i
\(634\) −6.54812 + 9.01271i −0.260059 + 0.357940i
\(635\) −18.4873 + 13.4318i −0.733644 + 0.533024i
\(636\) 1.42878 + 4.43668i 0.0566549 + 0.175926i
\(637\) 1.31416i 0.0520688i
\(638\) 16.5469 + 9.82063i 0.655098 + 0.388802i
\(639\) −27.8239 9.20128i −1.10070 0.363997i
\(640\) −1.27054 0.412823i −0.0502224 0.0163182i
\(641\) 18.8324 + 25.9206i 0.743837 + 1.02380i 0.998389 + 0.0567445i \(0.0180720\pi\)
−0.254552 + 0.967059i \(0.581928\pi\)
\(642\) 0.0267378 10.2510i 0.00105526 0.404576i
\(643\) −8.22335 25.3089i −0.324297 0.998084i −0.971757 0.235985i \(-0.924169\pi\)
0.647460 0.762100i \(-0.275831\pi\)
\(644\) −0.490031 1.50816i −0.0193099 0.0594298i
\(645\) −0.0740269 + 28.3813i −0.00291481 + 1.11751i
\(646\) −4.79965 6.60615i −0.188840 0.259916i
\(647\) 45.7821 + 14.8755i 1.79988 + 0.584816i 0.999885 0.0151927i \(-0.00483616\pi\)
0.799994 + 0.600009i \(0.204836\pi\)
\(648\) 7.22557 + 5.36574i 0.283847 + 0.210786i
\(649\) −18.0015 4.05325i −0.706619 0.159104i
\(650\) 4.22543i 0.165735i
\(651\) −1.16805 3.62704i −0.0457793 0.142155i
\(652\) 20.2403 14.7054i 0.792672 0.575910i
\(653\) 2.12081 2.91904i 0.0829937 0.114231i −0.765502 0.643434i \(-0.777509\pi\)
0.848495 + 0.529203i \(0.177509\pi\)
\(654\) 24.6191 + 17.9851i 0.962681 + 0.703273i
\(655\) −28.1131 + 9.13451i −1.09847 + 0.356915i
\(656\) 7.50793 + 5.45483i 0.293136 + 0.212975i
\(657\) 5.78617 1.84672i 0.225740 0.0720476i
\(658\) 2.11438 6.50739i 0.0824271 0.253685i
\(659\) 33.5005 1.30499 0.652497 0.757792i \(-0.273722\pi\)
0.652497 + 0.757792i \(0.273722\pi\)
\(660\) −1.70528 + 7.48243i −0.0663779 + 0.291253i
\(661\) −38.3942 −1.49336 −0.746681 0.665182i \(-0.768354\pi\)
−0.746681 + 0.665182i \(0.768354\pi\)
\(662\) −7.37257 + 22.6904i −0.286543 + 0.881888i
\(663\) −3.14460 + 9.59288i −0.122126 + 0.372557i
\(664\) −2.34352 1.70267i −0.0909464 0.0660764i
\(665\) −2.33923 + 0.760063i −0.0907116 + 0.0294740i
\(666\) −14.6116 0.0762232i −0.566186 0.00295359i
\(667\) 5.40764 7.44298i 0.209385 0.288193i
\(668\) 5.64811 4.10359i 0.218532 0.158773i
\(669\) −43.4288 + 13.9857i −1.67905 + 0.540720i
\(670\) 13.5706i 0.524280i
\(671\) 2.18208 + 2.48286i 0.0842381 + 0.0958499i
\(672\) −1.40391 + 1.01442i −0.0541570 + 0.0391319i
\(673\) −2.39737 0.778952i −0.0924118 0.0300264i 0.262446 0.964947i \(-0.415471\pi\)
−0.354858 + 0.934920i \(0.615471\pi\)
\(674\) −4.96962 6.84009i −0.191422 0.263470i
\(675\) −15.8487 5.28700i −0.610015 0.203497i
\(676\) 3.48355 + 10.7213i 0.133983 + 0.412356i
\(677\) 4.12662 + 12.7004i 0.158599 + 0.488118i 0.998508 0.0546100i \(-0.0173916\pi\)
−0.839909 + 0.542728i \(0.817392\pi\)
\(678\) 32.6666 + 0.0852043i 1.25455 + 0.00327225i
\(679\) −3.19023 4.39098i −0.122430 0.168510i
\(680\) −5.63497 1.83091i −0.216091 0.0702123i
\(681\) −7.86540 10.8854i −0.301403 0.417129i
\(682\) −1.60277 + 7.11830i −0.0613734 + 0.272574i
\(683\) 22.3431i 0.854936i 0.904030 + 0.427468i \(0.140594\pi\)
−0.904030 + 0.427468i \(0.859406\pi\)
\(684\) 3.26985 4.45154i 0.125026 0.170209i
\(685\) 14.0341 10.1963i 0.536214 0.389582i
\(686\) 0.587785 0.809017i 0.0224417 0.0308884i
\(687\) 8.06919 11.0456i 0.307859 0.421416i
\(688\) 11.6654 3.79030i 0.444737 0.144504i
\(689\) −2.86108 2.07869i −0.108998 0.0791919i
\(690\) 3.48674 + 1.14297i 0.132738 + 0.0435123i
\(691\) 0.551536 1.69745i 0.0209814 0.0645741i −0.940018 0.341126i \(-0.889192\pi\)
0.960999 + 0.276552i \(0.0891917\pi\)
\(692\) −23.7365 −0.902327
\(693\) 6.52926 + 7.50791i 0.248026 + 0.285202i
\(694\) −18.3555 −0.696765
\(695\) −0.393059 + 1.20971i −0.0149096 + 0.0458869i
\(696\) −9.54872 3.13013i −0.361943 0.118647i
\(697\) 33.2985 + 24.1928i 1.26127 + 0.916367i
\(698\) 30.8645 10.0285i 1.16824 0.379583i
\(699\) −4.24521 + 5.81109i −0.160569 + 0.219796i
\(700\) 1.88991 2.60124i 0.0714320 0.0983177i
\(701\) 9.27237 6.73677i 0.350212 0.254444i −0.398746 0.917062i \(-0.630554\pi\)
0.748958 + 0.662617i \(0.230554\pi\)
\(702\) −6.82835 0.0534322i −0.257719 0.00201667i
\(703\) 8.96741i 0.338212i
\(704\) 3.30239 0.306978i 0.124463 0.0115697i
\(705\) 9.27252 + 12.8328i 0.349223 + 0.483311i
\(706\) 14.9117 + 4.84509i 0.561208 + 0.182347i
\(707\) −4.84843 6.67330i −0.182344 0.250975i
\(708\) 9.63628 + 0.0251343i 0.362153 + 0.000944606i
\(709\) −14.1983 43.6978i −0.533228 1.64111i −0.747448 0.664320i \(-0.768721\pi\)
0.214220 0.976785i \(-0.431279\pi\)
\(710\) 4.03271 + 12.4114i 0.151345 + 0.465791i
\(711\) 4.25291 + 5.91831i 0.159497 + 0.221954i
\(712\) 2.64614 + 3.64211i 0.0991685 + 0.136494i
\(713\) 3.31792 + 1.07806i 0.124257 + 0.0403736i
\(714\) −6.22649 + 4.49905i −0.233021 + 0.168373i
\(715\) −2.30415 5.34741i −0.0861702 0.199982i
\(716\) 11.1293i 0.415922i
\(717\) −3.26345 + 1.05096i −0.121876 + 0.0392486i
\(718\) 12.8921 9.36667i 0.481130 0.349561i
\(719\) −17.5866 + 24.2058i −0.655868 + 0.902725i −0.999336 0.0364391i \(-0.988399\pi\)
0.343467 + 0.939165i \(0.388399\pi\)
\(720\) 0.0209068 4.00771i 0.000779150 0.149359i
\(721\) 0.552540 0.179531i 0.0205777 0.00668609i
\(722\) 12.6289 + 9.17545i 0.470000 + 0.341475i
\(723\) −8.21675 + 25.0659i −0.305584 + 0.932211i
\(724\) 1.50578 4.63431i 0.0559618 0.172233i
\(725\) 18.6540 0.692791
\(726\) −3.46292 18.7352i −0.128521 0.695329i
\(727\) −30.8519 −1.14423 −0.572117 0.820172i \(-0.693878\pi\)
−0.572117 + 0.820172i \(0.693878\pi\)
\(728\) 0.406097 1.24984i 0.0150509 0.0463221i
\(729\) −8.74428 + 25.5448i −0.323862 + 0.946104i
\(730\) −2.18813 1.58977i −0.0809862 0.0588399i
\(731\) 51.7371 16.8104i 1.91357 0.621756i
\(732\) −1.39389 1.01829i −0.0515197 0.0376369i
\(733\) 16.3308 22.4774i 0.603191 0.830221i −0.392805 0.919622i \(-0.628495\pi\)
0.995996 + 0.0894005i \(0.0284951\pi\)
\(734\) −22.1106 + 16.0643i −0.816118 + 0.592944i
\(735\) 0.709287 + 2.20249i 0.0261625 + 0.0812402i
\(736\) 1.58577i 0.0584524i
\(737\) 13.3322 + 30.9410i 0.491097 + 1.13973i
\(738\) −8.74134 + 26.4331i −0.321773 + 0.973015i
\(739\) 35.3081 + 11.4723i 1.29883 + 0.422016i 0.875175 0.483807i \(-0.160746\pi\)
0.423656 + 0.905823i \(0.360746\pi\)
\(740\) 3.82455 + 5.26405i 0.140593 + 0.193510i
\(741\) −0.0109308 + 4.19076i −0.000401552 + 0.153951i
\(742\) −0.831586 2.55936i −0.0305285 0.0939570i
\(743\) 9.10192 + 28.0128i 0.333917 + 1.02769i 0.967253 + 0.253814i \(0.0816851\pi\)
−0.633336 + 0.773877i \(0.718315\pi\)
\(744\) 0.00993885 3.81047i 0.000364376 0.139698i
\(745\) 14.4618 + 19.9049i 0.529839 + 0.729261i
\(746\) −18.6585 6.06252i −0.683137 0.221965i
\(747\) 2.72852 8.25081i 0.0998313 0.301881i
\(748\) 14.6465 1.36148i 0.535527 0.0497807i
\(749\) 5.91846i 0.216256i
\(750\) 5.82702 + 18.0942i 0.212773 + 0.660705i
\(751\) −9.16692 + 6.66016i −0.334506 + 0.243033i −0.742340 0.670023i \(-0.766284\pi\)
0.407834 + 0.913056i \(0.366284\pi\)
\(752\) 4.02179 5.53552i 0.146660 0.201860i
\(753\) 30.6323 + 22.3780i 1.11630 + 0.815499i
\(754\) 7.25106 2.35601i 0.264068 0.0858009i
\(755\) 6.05516 + 4.39933i 0.220370 + 0.160108i
\(756\) −4.17975 3.08702i −0.152016 0.112274i
\(757\) −5.66429 + 17.4329i −0.205872 + 0.633609i 0.793804 + 0.608173i \(0.208097\pi\)
−0.999676 + 0.0254359i \(0.991903\pi\)
\(758\) −0.517807 −0.0188076
\(759\) −9.07264 + 0.819497i −0.329316 + 0.0297459i
\(760\) −2.45962 −0.0892197
\(761\) −13.2052 + 40.6414i −0.478687 + 1.47325i 0.362232 + 0.932088i \(0.382015\pi\)
−0.840920 + 0.541160i \(0.817985\pi\)
\(762\) −9.22885 + 28.1534i −0.334326 + 1.01989i
\(763\) −14.2409 10.3466i −0.515554 0.374572i
\(764\) 8.86405 2.88010i 0.320690 0.104199i
\(765\) 0.0927239 17.7746i 0.00335244 0.642644i
\(766\) 5.44937 7.50042i 0.196894 0.271001i
\(767\) −5.91500 + 4.29750i −0.213578 + 0.155174i
\(768\) −1.64867 + 0.530935i −0.0594912 + 0.0191585i
\(769\) 19.3434i 0.697542i 0.937208 + 0.348771i \(0.113401\pi\)
−0.937208 + 0.348771i \(0.886599\pi\)
\(770\) 0.973273 4.32253i 0.0350743 0.155773i
\(771\) 9.27961 6.70512i 0.334197 0.241479i
\(772\) 18.8963 + 6.13978i 0.680093 + 0.220976i
\(773\) 14.5771 + 20.0636i 0.524301 + 0.721638i 0.986249 0.165269i \(-0.0528493\pi\