Properties

Label 770.2.n.f.71.1
Level $770$
Weight $2$
Character 770.71
Analytic conductor $6.148$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.n (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(2\) over \(\Q(\zeta_{5})\)
Coefficient field: 8.0.484000000.9
Defining polynomial: \(x^{8} + x^{6} + 16 x^{4} + 66 x^{2} + 121\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 71.1
Root \(-1.73855 + 1.26313i\) of defining polynomial
Character \(\chi\) \(=\) 770.71
Dual form 770.2.n.f.141.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.309017 - 0.951057i) q^{2} +(-0.929529 - 0.675342i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.309017 - 0.951057i) q^{5} +(-0.355049 + 1.09273i) q^{6} +(0.809017 - 0.587785i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.519114 - 1.59767i) q^{9} +O(q^{10})\) \(q+(-0.309017 - 0.951057i) q^{2} +(-0.929529 - 0.675342i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.309017 - 0.951057i) q^{5} +(-0.355049 + 1.09273i) q^{6} +(0.809017 - 0.587785i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-0.519114 - 1.59767i) q^{9} -1.00000 q^{10} +(3.22344 - 0.780656i) q^{11} +1.14896 q^{12} +(1.17340 + 3.61136i) q^{13} +(-0.809017 - 0.587785i) q^{14} +(-0.929529 + 0.675342i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.00153 - 6.16008i) q^{17} +(-1.35906 + 0.987414i) q^{18} +(-2.16808 - 1.57520i) q^{19} +(0.309017 + 0.951057i) q^{20} -1.14896 q^{21} +(-1.73855 - 2.82444i) q^{22} +2.65626 q^{23} +(-0.355049 - 1.09273i) q^{24} +(-0.809017 - 0.587785i) q^{25} +(3.07200 - 2.23194i) q^{26} +(-1.66159 + 5.11384i) q^{27} +(-0.309017 + 0.951057i) q^{28} +(-0.313027 + 0.227427i) q^{29} +(0.929529 + 0.675342i) q^{30} +(-1.85987 - 5.72410i) q^{31} -1.00000 q^{32} +(-3.52349 - 1.45128i) q^{33} -6.47709 q^{34} +(-0.309017 - 0.951057i) q^{35} +(1.35906 + 0.987414i) q^{36} +(-1.93106 + 1.40300i) q^{37} +(-0.828131 + 2.54873i) q^{38} +(1.34819 - 4.14931i) q^{39} +(0.809017 - 0.587785i) q^{40} +(-7.66713 - 5.57050i) q^{41} +(0.355049 + 1.09273i) q^{42} -4.66428 q^{43} +(-2.14896 + 2.52626i) q^{44} -1.67989 q^{45} +(-0.820830 - 2.52626i) q^{46} +(3.62605 + 2.63448i) q^{47} +(-0.929529 + 0.675342i) q^{48} +(0.309017 - 0.951057i) q^{49} +(-0.309017 + 0.951057i) q^{50} +(-6.02065 + 4.37426i) q^{51} +(-3.07200 - 2.23194i) q^{52} +(-1.57543 - 4.84867i) q^{53} +5.37701 q^{54} +(0.253650 - 3.30691i) q^{55} +1.00000 q^{56} +(0.951490 + 2.92839i) q^{57} +(0.313027 + 0.227427i) q^{58} +(-3.83994 + 2.78988i) q^{59} +(0.355049 - 1.09273i) q^{60} +(3.60293 - 11.0887i) q^{61} +(-4.86921 + 3.53769i) q^{62} +(-1.35906 - 0.987414i) q^{63} +(0.309017 + 0.951057i) q^{64} +3.79720 q^{65} +(-0.291435 + 3.79951i) q^{66} +5.71316 q^{67} +(2.00153 + 6.16008i) q^{68} +(-2.46907 - 1.79389i) q^{69} +(-0.809017 + 0.587785i) q^{70} +(1.02940 - 3.16815i) q^{71} +(0.519114 - 1.59767i) q^{72} +(-12.1455 + 8.82425i) q^{73} +(1.93106 + 1.40300i) q^{74} +(0.355049 + 1.09273i) q^{75} +2.67989 q^{76} +(2.14896 - 2.52626i) q^{77} -4.36284 q^{78} +(-1.86533 - 5.74090i) q^{79} +(-0.809017 - 0.587785i) q^{80} +(0.920912 - 0.669082i) q^{81} +(-2.92858 + 9.01325i) q^{82} +(-3.44711 + 10.6091i) q^{83} +(0.929529 - 0.675342i) q^{84} +(-5.24008 - 3.80714i) q^{85} +(1.44134 + 4.43600i) q^{86} +0.444559 q^{87} +(3.06668 + 1.26313i) q^{88} -5.87277 q^{89} +(0.519114 + 1.59767i) q^{90} +(3.07200 + 2.23194i) q^{91} +(-2.14896 + 1.56131i) q^{92} +(-2.13692 + 6.57676i) q^{93} +(1.38503 - 4.26268i) q^{94} +(-2.16808 + 1.57520i) q^{95} +(0.929529 + 0.675342i) q^{96} +(-1.02115 - 3.14277i) q^{97} -1.00000 q^{98} +(-2.92056 - 4.74474i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 2 q^{9} + O(q^{10}) \) \( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{5} - 2 q^{6} + 2 q^{7} + 2 q^{8} + 2 q^{9} - 8 q^{10} - 8 q^{12} - 2 q^{13} - 2 q^{14} + 2 q^{15} - 2 q^{16} - 6 q^{17} + 8 q^{18} + 6 q^{19} - 2 q^{20} + 8 q^{21} - 2 q^{24} - 2 q^{25} + 12 q^{26} - 4 q^{27} + 2 q^{28} + 20 q^{29} - 2 q^{30} - 6 q^{31} - 8 q^{32} - 8 q^{33} - 24 q^{34} + 2 q^{35} - 8 q^{36} + 16 q^{37} + 4 q^{38} + 20 q^{39} + 2 q^{40} - 12 q^{41} + 2 q^{42} + 20 q^{43} + 12 q^{45} - 16 q^{47} + 2 q^{48} - 2 q^{49} + 2 q^{50} - 20 q^{51} - 12 q^{52} - 30 q^{53} + 44 q^{54} + 8 q^{56} - 20 q^{58} - 18 q^{59} + 2 q^{60} + 8 q^{61} - 24 q^{62} + 8 q^{63} - 2 q^{64} + 28 q^{65} + 18 q^{66} - 6 q^{68} - 28 q^{69} - 2 q^{70} + 22 q^{71} - 2 q^{72} - 50 q^{73} - 16 q^{74} + 2 q^{75} - 4 q^{76} + 60 q^{78} - 34 q^{79} - 2 q^{80} - 28 q^{81} + 12 q^{82} - 34 q^{83} - 2 q^{84} - 6 q^{85} + 4 q^{87} - 8 q^{89} - 2 q^{90} + 12 q^{91} + 56 q^{93} - 24 q^{94} + 6 q^{95} - 2 q^{96} - 8 q^{98} - 24 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 0.951057i −0.218508 0.672499i
\(3\) −0.929529 0.675342i −0.536664 0.389909i 0.286181 0.958176i \(-0.407614\pi\)
−0.822845 + 0.568267i \(0.807614\pi\)
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) 0.309017 0.951057i 0.138197 0.425325i
\(6\) −0.355049 + 1.09273i −0.144948 + 0.446104i
\(7\) 0.809017 0.587785i 0.305780 0.222162i
\(8\) 0.809017 + 0.587785i 0.286031 + 0.207813i
\(9\) −0.519114 1.59767i −0.173038 0.532556i
\(10\) −1.00000 −0.316228
\(11\) 3.22344 0.780656i 0.971904 0.235377i
\(12\) 1.14896 0.331677
\(13\) 1.17340 + 3.61136i 0.325443 + 1.00161i 0.971240 + 0.238101i \(0.0765250\pi\)
−0.645798 + 0.763509i \(0.723475\pi\)
\(14\) −0.809017 0.587785i −0.216219 0.157092i
\(15\) −0.929529 + 0.675342i −0.240003 + 0.174373i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 2.00153 6.16008i 0.485443 1.49404i −0.345896 0.938273i \(-0.612425\pi\)
0.831339 0.555766i \(-0.187575\pi\)
\(18\) −1.35906 + 0.987414i −0.320333 + 0.232736i
\(19\) −2.16808 1.57520i −0.497391 0.361375i 0.310629 0.950531i \(-0.399460\pi\)
−0.808019 + 0.589156i \(0.799460\pi\)
\(20\) 0.309017 + 0.951057i 0.0690983 + 0.212663i
\(21\) −1.14896 −0.250724
\(22\) −1.73855 2.82444i −0.370659 0.602172i
\(23\) 2.65626 0.553869 0.276934 0.960889i \(-0.410682\pi\)
0.276934 + 0.960889i \(0.410682\pi\)
\(24\) −0.355049 1.09273i −0.0724740 0.223052i
\(25\) −0.809017 0.587785i −0.161803 0.117557i
\(26\) 3.07200 2.23194i 0.602469 0.437720i
\(27\) −1.66159 + 5.11384i −0.319773 + 0.984159i
\(28\) −0.309017 + 0.951057i −0.0583987 + 0.179733i
\(29\) −0.313027 + 0.227427i −0.0581276 + 0.0422322i −0.616470 0.787379i \(-0.711438\pi\)
0.558342 + 0.829611i \(0.311438\pi\)
\(30\) 0.929529 + 0.675342i 0.169708 + 0.123300i
\(31\) −1.85987 5.72410i −0.334043 1.02808i −0.967192 0.254048i \(-0.918238\pi\)
0.633149 0.774030i \(-0.281762\pi\)
\(32\) −1.00000 −0.176777
\(33\) −3.52349 1.45128i −0.613361 0.252636i
\(34\) −6.47709 −1.11081
\(35\) −0.309017 0.951057i −0.0522334 0.160758i
\(36\) 1.35906 + 0.987414i 0.226510 + 0.164569i
\(37\) −1.93106 + 1.40300i −0.317464 + 0.230651i −0.735093 0.677967i \(-0.762861\pi\)
0.417628 + 0.908618i \(0.362861\pi\)
\(38\) −0.828131 + 2.54873i −0.134341 + 0.413458i
\(39\) 1.34819 4.14931i 0.215883 0.664421i
\(40\) 0.809017 0.587785i 0.127917 0.0929370i
\(41\) −7.66713 5.57050i −1.19740 0.869965i −0.203377 0.979100i \(-0.565192\pi\)
−0.994027 + 0.109135i \(0.965192\pi\)
\(42\) 0.355049 + 1.09273i 0.0547852 + 0.168611i
\(43\) −4.66428 −0.711296 −0.355648 0.934620i \(-0.615740\pi\)
−0.355648 + 0.934620i \(0.615740\pi\)
\(44\) −2.14896 + 2.52626i −0.323968 + 0.380847i
\(45\) −1.67989 −0.250423
\(46\) −0.820830 2.52626i −0.121025 0.372476i
\(47\) 3.62605 + 2.63448i 0.528914 + 0.384279i 0.819951 0.572433i \(-0.194000\pi\)
−0.291037 + 0.956712i \(0.594000\pi\)
\(48\) −0.929529 + 0.675342i −0.134166 + 0.0974773i
\(49\) 0.309017 0.951057i 0.0441453 0.135865i
\(50\) −0.309017 + 0.951057i −0.0437016 + 0.134500i
\(51\) −6.02065 + 4.37426i −0.843059 + 0.612518i
\(52\) −3.07200 2.23194i −0.426010 0.309514i
\(53\) −1.57543 4.84867i −0.216402 0.666016i −0.999051 0.0435529i \(-0.986132\pi\)
0.782650 0.622463i \(-0.213868\pi\)
\(54\) 5.37701 0.731718
\(55\) 0.253650 3.30691i 0.0342022 0.445904i
\(56\) 1.00000 0.133631
\(57\) 0.951490 + 2.92839i 0.126028 + 0.387874i
\(58\) 0.313027 + 0.227427i 0.0411024 + 0.0298627i
\(59\) −3.83994 + 2.78988i −0.499918 + 0.363212i −0.808986 0.587828i \(-0.799983\pi\)
0.309068 + 0.951040i \(0.399983\pi\)
\(60\) 0.355049 1.09273i 0.0458366 0.141070i
\(61\) 3.60293 11.0887i 0.461308 1.41976i −0.402259 0.915526i \(-0.631775\pi\)
0.863567 0.504234i \(-0.168225\pi\)
\(62\) −4.86921 + 3.53769i −0.618390 + 0.449287i
\(63\) −1.35906 0.987414i −0.171225 0.124402i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) 3.79720 0.470985
\(66\) −0.291435 + 3.79951i −0.0358731 + 0.467688i
\(67\) 5.71316 0.697974 0.348987 0.937128i \(-0.386526\pi\)
0.348987 + 0.937128i \(0.386526\pi\)
\(68\) 2.00153 + 6.16008i 0.242721 + 0.747020i
\(69\) −2.46907 1.79389i −0.297241 0.215959i
\(70\) −0.809017 + 0.587785i −0.0966960 + 0.0702538i
\(71\) 1.02940 3.16815i 0.122167 0.375991i −0.871207 0.490915i \(-0.836663\pi\)
0.993374 + 0.114924i \(0.0366626\pi\)
\(72\) 0.519114 1.59767i 0.0611782 0.188287i
\(73\) −12.1455 + 8.82425i −1.42153 + 1.03280i −0.430010 + 0.902824i \(0.641490\pi\)
−0.991517 + 0.129976i \(0.958510\pi\)
\(74\) 1.93106 + 1.40300i 0.224481 + 0.163095i
\(75\) 0.355049 + 1.09273i 0.0409975 + 0.126177i
\(76\) 2.67989 0.307404
\(77\) 2.14896 2.52626i 0.244897 0.287894i
\(78\) −4.36284 −0.493994
\(79\) −1.86533 5.74090i −0.209866 0.645901i −0.999478 0.0322952i \(-0.989718\pi\)
0.789612 0.613606i \(-0.210282\pi\)
\(80\) −0.809017 0.587785i −0.0904508 0.0657164i
\(81\) 0.920912 0.669082i 0.102324 0.0743425i
\(82\) −2.92858 + 9.01325i −0.323408 + 0.995347i
\(83\) −3.44711 + 10.6091i −0.378370 + 1.16450i 0.562807 + 0.826588i \(0.309721\pi\)
−0.941177 + 0.337914i \(0.890279\pi\)
\(84\) 0.929529 0.675342i 0.101420 0.0736859i
\(85\) −5.24008 3.80714i −0.568366 0.412942i
\(86\) 1.44134 + 4.43600i 0.155424 + 0.478346i
\(87\) 0.444559 0.0476617
\(88\) 3.06668 + 1.26313i 0.326909 + 0.134650i
\(89\) −5.87277 −0.622513 −0.311256 0.950326i \(-0.600750\pi\)
−0.311256 + 0.950326i \(0.600750\pi\)
\(90\) 0.519114 + 1.59767i 0.0547194 + 0.168409i
\(91\) 3.07200 + 2.23194i 0.322033 + 0.233971i
\(92\) −2.14896 + 1.56131i −0.224045 + 0.162778i
\(93\) −2.13692 + 6.57676i −0.221588 + 0.681979i
\(94\) 1.38503 4.26268i 0.142855 0.439662i
\(95\) −2.16808 + 1.57520i −0.222440 + 0.161612i
\(96\) 0.929529 + 0.675342i 0.0948697 + 0.0689268i
\(97\) −1.02115 3.14277i −0.103682 0.319100i 0.885737 0.464188i \(-0.153654\pi\)
−0.989419 + 0.145088i \(0.953654\pi\)
\(98\) −1.00000 −0.101015
\(99\) −2.92056 4.74474i −0.293528 0.476865i
\(100\) 1.00000 0.100000
\(101\) −1.71943 5.29187i −0.171090 0.526561i 0.828343 0.560221i \(-0.189284\pi\)
−0.999433 + 0.0336601i \(0.989284\pi\)
\(102\) 6.02065 + 4.37426i 0.596133 + 0.433116i
\(103\) 6.43968 4.67870i 0.634520 0.461006i −0.223443 0.974717i \(-0.571730\pi\)
0.857963 + 0.513711i \(0.171730\pi\)
\(104\) −1.17340 + 3.61136i −0.115061 + 0.354123i
\(105\) −0.355049 + 1.09273i −0.0346492 + 0.106639i
\(106\) −4.12452 + 2.99664i −0.400609 + 0.291059i
\(107\) 14.0967 + 10.2418i 1.36278 + 0.990114i 0.998263 + 0.0589157i \(0.0187643\pi\)
0.364512 + 0.931199i \(0.381236\pi\)
\(108\) −1.66159 5.11384i −0.159886 0.492080i
\(109\) 4.92398 0.471631 0.235816 0.971798i \(-0.424224\pi\)
0.235816 + 0.971798i \(0.424224\pi\)
\(110\) −3.22344 + 0.780656i −0.307343 + 0.0744326i
\(111\) 2.74248 0.260305
\(112\) −0.309017 0.951057i −0.0291994 0.0898664i
\(113\) 9.20855 + 6.69041i 0.866268 + 0.629380i 0.929583 0.368613i \(-0.120167\pi\)
−0.0633151 + 0.997994i \(0.520167\pi\)
\(114\) 2.49103 1.80984i 0.233307 0.169507i
\(115\) 0.820830 2.52626i 0.0765428 0.235575i
\(116\) 0.119566 0.367985i 0.0111014 0.0341665i
\(117\) 5.16062 3.74941i 0.477100 0.346633i
\(118\) 3.83994 + 2.78988i 0.353496 + 0.256830i
\(119\) −2.00153 6.16008i −0.183480 0.564694i
\(120\) −1.14896 −0.104885
\(121\) 9.78115 5.03280i 0.889196 0.457527i
\(122\) −11.6593 −1.05559
\(123\) 3.36483 + 10.3559i 0.303396 + 0.933758i
\(124\) 4.86921 + 3.53769i 0.437268 + 0.317694i
\(125\) −0.809017 + 0.587785i −0.0723607 + 0.0525731i
\(126\) −0.519114 + 1.59767i −0.0462464 + 0.142332i
\(127\) −0.444131 + 1.36689i −0.0394102 + 0.121292i −0.968826 0.247742i \(-0.920311\pi\)
0.929416 + 0.369034i \(0.120311\pi\)
\(128\) 0.809017 0.587785i 0.0715077 0.0519534i
\(129\) 4.33559 + 3.14999i 0.381727 + 0.277341i
\(130\) −1.17340 3.61136i −0.102914 0.316737i
\(131\) 19.5165 1.70516 0.852582 0.522594i \(-0.175036\pi\)
0.852582 + 0.522594i \(0.175036\pi\)
\(132\) 3.70361 0.896943i 0.322358 0.0780689i
\(133\) −2.67989 −0.232376
\(134\) −1.76546 5.43354i −0.152513 0.469386i
\(135\) 4.35009 + 3.16053i 0.374396 + 0.272015i
\(136\) 5.24008 3.80714i 0.449333 0.326459i
\(137\) 5.86541 18.0519i 0.501116 1.54228i −0.306088 0.952003i \(-0.599020\pi\)
0.807204 0.590273i \(-0.200980\pi\)
\(138\) −0.943102 + 2.90257i −0.0802822 + 0.247083i
\(139\) −5.32813 + 3.87111i −0.451926 + 0.328344i −0.790356 0.612648i \(-0.790104\pi\)
0.338430 + 0.940992i \(0.390104\pi\)
\(140\) 0.809017 + 0.587785i 0.0683744 + 0.0496769i
\(141\) −1.59134 4.89766i −0.134015 0.412457i
\(142\) −3.33119 −0.279548
\(143\) 6.60161 + 10.7250i 0.552055 + 0.896867i
\(144\) −1.67989 −0.139991
\(145\) 0.119566 + 0.367985i 0.00992938 + 0.0305595i
\(146\) 12.1455 + 8.82425i 1.00517 + 0.730300i
\(147\) −0.929529 + 0.675342i −0.0766663 + 0.0557013i
\(148\) 0.737600 2.27010i 0.0606303 0.186601i
\(149\) 3.12533 9.61879i 0.256037 0.788002i −0.737586 0.675253i \(-0.764034\pi\)
0.993623 0.112749i \(-0.0359656\pi\)
\(150\) 0.929529 0.675342i 0.0758957 0.0551415i
\(151\) 9.57353 + 6.95558i 0.779083 + 0.566037i 0.904704 0.426041i \(-0.140092\pi\)
−0.125621 + 0.992078i \(0.540092\pi\)
\(152\) −0.828131 2.54873i −0.0671703 0.206729i
\(153\) −10.8808 −0.879660
\(154\) −3.06668 1.26313i −0.247120 0.101786i
\(155\) −6.01867 −0.483431
\(156\) 1.34819 + 4.14931i 0.107942 + 0.332210i
\(157\) −1.36767 0.993674i −0.109152 0.0793038i 0.531870 0.846826i \(-0.321489\pi\)
−0.641022 + 0.767522i \(0.721489\pi\)
\(158\) −4.88350 + 3.54807i −0.388510 + 0.282269i
\(159\) −1.81010 + 5.57093i −0.143551 + 0.441803i
\(160\) −0.309017 + 0.951057i −0.0244299 + 0.0751876i
\(161\) 2.14896 1.56131i 0.169362 0.123049i
\(162\) −0.920912 0.669082i −0.0723537 0.0525681i
\(163\) −2.49117 7.66703i −0.195123 0.600528i −0.999975 0.00705197i \(-0.997755\pi\)
0.804852 0.593476i \(-0.202245\pi\)
\(164\) 9.47709 0.740037
\(165\) −2.46907 + 2.90257i −0.192217 + 0.225965i
\(166\) 11.1551 0.865803
\(167\) 5.01158 + 15.4241i 0.387808 + 1.19355i 0.934423 + 0.356166i \(0.115916\pi\)
−0.546615 + 0.837384i \(0.684084\pi\)
\(168\) −0.929529 0.675342i −0.0717147 0.0521038i
\(169\) −1.14780 + 0.833925i −0.0882922 + 0.0641480i
\(170\) −2.00153 + 6.16008i −0.153510 + 0.472457i
\(171\) −1.39117 + 4.28157i −0.106385 + 0.327420i
\(172\) 3.77348 2.74160i 0.287725 0.209045i
\(173\) −9.83768 7.14749i −0.747945 0.543414i 0.147244 0.989100i \(-0.452960\pi\)
−0.895189 + 0.445686i \(0.852960\pi\)
\(174\) −0.137376 0.422800i −0.0104145 0.0320524i
\(175\) −1.00000 −0.0755929
\(176\) 0.253650 3.30691i 0.0191196 0.249268i
\(177\) 5.45347 0.409908
\(178\) 1.81479 + 5.58534i 0.136024 + 0.418639i
\(179\) 18.8528 + 13.6973i 1.40912 + 1.02379i 0.993449 + 0.114273i \(0.0364540\pi\)
0.415673 + 0.909514i \(0.363546\pi\)
\(180\) 1.35906 0.987414i 0.101298 0.0735975i
\(181\) 6.83818 21.0458i 0.508278 1.56432i −0.286910 0.957957i \(-0.592628\pi\)
0.795189 0.606362i \(-0.207372\pi\)
\(182\) 1.17340 3.61136i 0.0869782 0.267691i
\(183\) −10.8377 + 7.87404i −0.801144 + 0.582066i
\(184\) 2.14896 + 1.56131i 0.158424 + 0.115101i
\(185\) 0.737600 + 2.27010i 0.0542294 + 0.166901i
\(186\) 6.91522 0.507048
\(187\) 1.64292 21.4192i 0.120142 1.56632i
\(188\) −4.48205 −0.326887
\(189\) 1.66159 + 5.11384i 0.120863 + 0.371977i
\(190\) 2.16808 + 1.57520i 0.157289 + 0.114277i
\(191\) −16.4120 + 11.9240i −1.18753 + 0.862793i −0.993001 0.118103i \(-0.962319\pi\)
−0.194531 + 0.980896i \(0.562319\pi\)
\(192\) 0.355049 1.09273i 0.0256234 0.0788608i
\(193\) −1.18819 + 3.65689i −0.0855281 + 0.263228i −0.984670 0.174429i \(-0.944192\pi\)
0.899142 + 0.437658i \(0.144192\pi\)
\(194\) −2.67340 + 1.94234i −0.191939 + 0.139452i
\(195\) −3.52961 2.56441i −0.252761 0.183641i
\(196\) 0.309017 + 0.951057i 0.0220726 + 0.0679326i
\(197\) 11.8159 0.841846 0.420923 0.907096i \(-0.361706\pi\)
0.420923 + 0.907096i \(0.361706\pi\)
\(198\) −3.61001 + 4.24383i −0.256553 + 0.301596i
\(199\) 12.5496 0.889617 0.444809 0.895626i \(-0.353272\pi\)
0.444809 + 0.895626i \(0.353272\pi\)
\(200\) −0.309017 0.951057i −0.0218508 0.0672499i
\(201\) −5.31055 3.85834i −0.374577 0.272146i
\(202\) −4.50153 + 3.27055i −0.316727 + 0.230115i
\(203\) −0.119566 + 0.367985i −0.00839186 + 0.0258275i
\(204\) 2.29968 7.07769i 0.161010 0.495538i
\(205\) −7.66713 + 5.57050i −0.535495 + 0.389060i
\(206\) −6.43968 4.67870i −0.448674 0.325980i
\(207\) −1.37890 4.24383i −0.0958404 0.294966i
\(208\) 3.79720 0.263289
\(209\) −8.21835 3.38504i −0.568475 0.234148i
\(210\) 1.14896 0.0792859
\(211\) 1.23599 + 3.80397i 0.0850888 + 0.261876i 0.984544 0.175136i \(-0.0560366\pi\)
−0.899455 + 0.437012i \(0.856037\pi\)
\(212\) 4.12452 + 2.99664i 0.283273 + 0.205810i
\(213\) −3.09644 + 2.24970i −0.212165 + 0.154147i
\(214\) 5.38444 16.5716i 0.368073 1.13281i
\(215\) −1.44134 + 4.43600i −0.0982987 + 0.302532i
\(216\) −4.35009 + 3.16053i −0.295986 + 0.215047i
\(217\) −4.86921 3.53769i −0.330543 0.240154i
\(218\) −1.52159 4.68298i −0.103055 0.317171i
\(219\) 17.2490 1.16558
\(220\) 1.73855 + 2.82444i 0.117213 + 0.190424i
\(221\) 24.5948 1.65443
\(222\) −0.847473 2.60825i −0.0568787 0.175055i
\(223\) −14.4637 10.5085i −0.968563 0.703702i −0.0134396 0.999910i \(-0.504278\pi\)
−0.955124 + 0.296207i \(0.904278\pi\)
\(224\) −0.809017 + 0.587785i −0.0540547 + 0.0392731i
\(225\) −0.519114 + 1.59767i −0.0346076 + 0.106511i
\(226\) 3.51735 10.8253i 0.233971 0.720088i
\(227\) 4.66159 3.38684i 0.309400 0.224793i −0.422239 0.906485i \(-0.638756\pi\)
0.731639 + 0.681692i \(0.238756\pi\)
\(228\) −2.49103 1.80984i −0.164973 0.119860i
\(229\) −2.65018 8.15642i −0.175129 0.538992i 0.824510 0.565847i \(-0.191451\pi\)
−0.999639 + 0.0268553i \(0.991451\pi\)
\(230\) −2.65626 −0.175149
\(231\) −3.70361 + 0.896943i −0.243680 + 0.0590145i
\(232\) −0.386922 −0.0254027
\(233\) 4.45017 + 13.6962i 0.291541 + 0.897270i 0.984362 + 0.176160i \(0.0563676\pi\)
−0.692821 + 0.721110i \(0.743632\pi\)
\(234\) −5.16062 3.74941i −0.337360 0.245107i
\(235\) 3.62605 2.63448i 0.236538 0.171855i
\(236\) 1.46673 4.51413i 0.0954759 0.293845i
\(237\) −2.14319 + 6.59607i −0.139215 + 0.428461i
\(238\) −5.24008 + 3.80714i −0.339664 + 0.246780i
\(239\) 19.4242 + 14.1125i 1.25645 + 0.912862i 0.998578 0.0533181i \(-0.0169797\pi\)
0.257869 + 0.966180i \(0.416980\pi\)
\(240\) 0.355049 + 1.09273i 0.0229183 + 0.0705352i
\(241\) −16.7641 −1.07987 −0.539935 0.841707i \(-0.681551\pi\)
−0.539935 + 0.841707i \(0.681551\pi\)
\(242\) −7.80902 7.74721i −0.501983 0.498009i
\(243\) 14.8232 0.950906
\(244\) 3.60293 + 11.0887i 0.230654 + 0.709880i
\(245\) −0.809017 0.587785i −0.0516862 0.0375522i
\(246\) 8.80923 6.40028i 0.561656 0.408067i
\(247\) 3.14458 9.67803i 0.200085 0.615798i
\(248\) 1.85987 5.72410i 0.118102 0.363480i
\(249\) 10.3690 7.53350i 0.657107 0.477416i
\(250\) 0.809017 + 0.587785i 0.0511667 + 0.0371748i
\(251\) −0.749330 2.30620i −0.0472973 0.145566i 0.924619 0.380894i \(-0.124384\pi\)
−0.971916 + 0.235328i \(0.924384\pi\)
\(252\) 1.67989 0.105823
\(253\) 8.56231 2.07363i 0.538308 0.130368i
\(254\) 1.43724 0.0901803
\(255\) 2.29968 + 7.07769i 0.144012 + 0.443222i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −4.19368 + 3.04688i −0.261594 + 0.190059i −0.710850 0.703344i \(-0.751689\pi\)
0.449255 + 0.893403i \(0.351689\pi\)
\(258\) 1.65605 5.09679i 0.103101 0.317312i
\(259\) −0.737600 + 2.27010i −0.0458322 + 0.141057i
\(260\) −3.07200 + 2.23194i −0.190518 + 0.138419i
\(261\) 0.525850 + 0.382052i 0.0325493 + 0.0236484i
\(262\) −6.03093 18.5613i −0.372592 1.14672i
\(263\) 20.3770 1.25650 0.628250 0.778011i \(-0.283771\pi\)
0.628250 + 0.778011i \(0.283771\pi\)
\(264\) −1.99752 3.24517i −0.122939 0.199726i
\(265\) −5.09819 −0.313179
\(266\) 0.828131 + 2.54873i 0.0507760 + 0.156272i
\(267\) 5.45891 + 3.96613i 0.334080 + 0.242723i
\(268\) −4.62204 + 3.35811i −0.282336 + 0.205129i
\(269\) −3.53837 + 10.8900i −0.215738 + 0.663974i 0.783362 + 0.621566i \(0.213503\pi\)
−0.999100 + 0.0424083i \(0.986497\pi\)
\(270\) 1.66159 5.11384i 0.101121 0.311218i
\(271\) −11.9896 + 8.71094i −0.728315 + 0.529152i −0.889030 0.457849i \(-0.848620\pi\)
0.160715 + 0.987001i \(0.448620\pi\)
\(272\) −5.24008 3.80714i −0.317726 0.230842i
\(273\) −1.34819 4.14931i −0.0815963 0.251127i
\(274\) −18.9809 −1.14668
\(275\) −3.06668 1.26313i −0.184928 0.0761695i
\(276\) 3.05194 0.183705
\(277\) 7.57578 + 23.3159i 0.455185 + 1.40091i 0.870918 + 0.491428i \(0.163525\pi\)
−0.415733 + 0.909487i \(0.636475\pi\)
\(278\) 5.32813 + 3.87111i 0.319560 + 0.232174i
\(279\) −8.17972 + 5.94292i −0.489707 + 0.355793i
\(280\) 0.309017 0.951057i 0.0184673 0.0568365i
\(281\) −8.83571 + 27.1935i −0.527094 + 1.62223i 0.233043 + 0.972466i \(0.425132\pi\)
−0.760137 + 0.649762i \(0.774868\pi\)
\(282\) −4.16619 + 3.02692i −0.248093 + 0.180250i
\(283\) 4.20280 + 3.05351i 0.249830 + 0.181512i 0.705652 0.708559i \(-0.250654\pi\)
−0.455821 + 0.890071i \(0.650654\pi\)
\(284\) 1.02940 + 3.16815i 0.0610834 + 0.187995i
\(285\) 3.07909 0.182389
\(286\) 8.16004 9.59271i 0.482513 0.567229i
\(287\) −9.47709 −0.559415
\(288\) 0.519114 + 1.59767i 0.0305891 + 0.0941435i
\(289\) −20.1872 14.6668i −1.18748 0.862755i
\(290\) 0.313027 0.227427i 0.0183816 0.0133550i
\(291\) −1.17326 + 3.61092i −0.0687777 + 0.211676i
\(292\) 4.63918 14.2779i 0.271488 0.835553i
\(293\) −14.7407 + 10.7097i −0.861159 + 0.625668i −0.928200 0.372082i \(-0.878644\pi\)
0.0670412 + 0.997750i \(0.478644\pi\)
\(294\) 0.929529 + 0.675342i 0.0542112 + 0.0393868i
\(295\) 1.46673 + 4.51413i 0.0853962 + 0.262823i
\(296\) −2.38692 −0.138737
\(297\) −1.36388 + 17.7813i −0.0791404 + 1.03178i
\(298\) −10.1138 −0.585876
\(299\) 3.11686 + 9.59271i 0.180253 + 0.554761i
\(300\) −0.929529 0.675342i −0.0536664 0.0389909i
\(301\) −3.77348 + 2.74160i −0.217500 + 0.158023i
\(302\) 3.65676 11.2544i 0.210423 0.647616i
\(303\) −1.97556 + 6.08015i −0.113493 + 0.349296i
\(304\) −2.16808 + 1.57520i −0.124348 + 0.0903438i
\(305\) −9.43259 6.85318i −0.540109 0.392412i
\(306\) 3.36235 + 10.3482i 0.192213 + 0.591570i
\(307\) −10.9710 −0.626146 −0.313073 0.949729i \(-0.601358\pi\)
−0.313073 + 0.949729i \(0.601358\pi\)
\(308\) −0.253650 + 3.30691i −0.0144531 + 0.188429i
\(309\) −9.14559 −0.520275
\(310\) 1.85987 + 5.72410i 0.105634 + 0.325107i
\(311\) −16.8831 12.2663i −0.957354 0.695558i −0.00481905 0.999988i \(-0.501534\pi\)
−0.952535 + 0.304430i \(0.901534\pi\)
\(312\) 3.52961 2.56441i 0.199825 0.145181i
\(313\) 2.67240 8.22479i 0.151053 0.464892i −0.846687 0.532091i \(-0.821406\pi\)
0.997740 + 0.0671990i \(0.0214062\pi\)
\(314\) −0.522405 + 1.60780i −0.0294810 + 0.0907333i
\(315\) −1.35906 + 0.987414i −0.0765743 + 0.0556345i
\(316\) 4.88350 + 3.54807i 0.274718 + 0.199594i
\(317\) 1.09288 + 3.36353i 0.0613820 + 0.188915i 0.977045 0.213032i \(-0.0683338\pi\)
−0.915663 + 0.401946i \(0.868334\pi\)
\(318\) 5.85762 0.328479
\(319\) −0.831481 + 0.977464i −0.0465540 + 0.0547275i
\(320\) 1.00000 0.0559017
\(321\) −6.18652 19.0401i −0.345298 1.06272i
\(322\) −2.14896 1.56131i −0.119757 0.0870085i
\(323\) −14.0428 + 10.2027i −0.781364 + 0.567694i
\(324\) −0.351757 + 1.08260i −0.0195421 + 0.0601443i
\(325\) 1.17340 3.61136i 0.0650886 0.200322i
\(326\) −6.52196 + 4.73848i −0.361218 + 0.262440i
\(327\) −4.57698 3.32537i −0.253107 0.183893i
\(328\) −2.92858 9.01325i −0.161704 0.497673i
\(329\) 4.48205 0.247103
\(330\) 3.52349 + 1.45128i 0.193962 + 0.0798906i
\(331\) 10.1966 0.560458 0.280229 0.959933i \(-0.409590\pi\)
0.280229 + 0.959933i \(0.409590\pi\)
\(332\) −3.44711 10.6091i −0.189185 0.582251i
\(333\) 3.24397 + 2.35688i 0.177768 + 0.129156i
\(334\) 13.1205 9.53260i 0.717922 0.521601i
\(335\) 1.76546 5.43354i 0.0964576 0.296866i
\(336\) −0.355049 + 1.09273i −0.0193695 + 0.0596131i
\(337\) 11.4130 8.29201i 0.621704 0.451695i −0.231812 0.972761i \(-0.574465\pi\)
0.853516 + 0.521066i \(0.174465\pi\)
\(338\) 1.14780 + 0.833925i 0.0624320 + 0.0453595i
\(339\) −4.04130 12.4379i −0.219493 0.675531i
\(340\) 6.47709 0.351270
\(341\) −10.4637 16.9994i −0.566643 0.920567i
\(342\) 4.50191 0.243436
\(343\) −0.309017 0.951057i −0.0166853 0.0513522i
\(344\) −3.77348 2.74160i −0.203453 0.147817i
\(345\) −2.46907 + 1.79389i −0.132930 + 0.0965796i
\(346\) −3.75766 + 11.5649i −0.202013 + 0.621732i
\(347\) 1.28837 3.96520i 0.0691634 0.212863i −0.910501 0.413507i \(-0.864304\pi\)
0.979664 + 0.200644i \(0.0643036\pi\)
\(348\) −0.359655 + 0.261305i −0.0192796 + 0.0140074i
\(349\) −6.50234 4.72423i −0.348063 0.252882i 0.399993 0.916518i \(-0.369012\pi\)
−0.748056 + 0.663636i \(0.769012\pi\)
\(350\) 0.309017 + 0.951057i 0.0165177 + 0.0508361i
\(351\) −20.4176 −1.08981
\(352\) −3.22344 + 0.780656i −0.171810 + 0.0416091i
\(353\) 15.7957 0.840723 0.420361 0.907357i \(-0.361903\pi\)
0.420361 + 0.907357i \(0.361903\pi\)
\(354\) −1.68521 5.18655i −0.0895681 0.275662i
\(355\) −2.69499 1.95803i −0.143035 0.103921i
\(356\) 4.75117 3.45193i 0.251812 0.182952i
\(357\) −2.29968 + 7.07769i −0.121712 + 0.374591i
\(358\) 7.20112 22.1628i 0.380591 1.17134i
\(359\) −5.37205 + 3.90303i −0.283526 + 0.205994i −0.720454 0.693503i \(-0.756067\pi\)
0.436928 + 0.899497i \(0.356067\pi\)
\(360\) −1.35906 0.987414i −0.0716287 0.0520413i
\(361\) −3.65202 11.2398i −0.192212 0.591567i
\(362\) −22.1288 −1.16307
\(363\) −12.4907 1.92750i −0.655593 0.101167i
\(364\) −3.79720 −0.199028
\(365\) 4.63918 + 14.2779i 0.242826 + 0.747341i
\(366\) 10.8377 + 7.87404i 0.566495 + 0.411582i
\(367\) −13.4544 + 9.77519i −0.702314 + 0.510261i −0.880685 0.473702i \(-0.842917\pi\)
0.178371 + 0.983963i \(0.442917\pi\)
\(368\) 0.820830 2.52626i 0.0427887 0.131690i
\(369\) −4.91969 + 15.1413i −0.256109 + 0.788222i
\(370\) 1.93106 1.40300i 0.100391 0.0729384i
\(371\) −4.12452 2.99664i −0.214135 0.155578i
\(372\) −2.13692 6.57676i −0.110794 0.340989i
\(373\) −7.30477 −0.378227 −0.189113 0.981955i \(-0.560561\pi\)
−0.189113 + 0.981955i \(0.560561\pi\)
\(374\) −20.8785 + 5.05638i −1.07960 + 0.261459i
\(375\) 1.14896 0.0593321
\(376\) 1.38503 + 4.26268i 0.0714274 + 0.219831i
\(377\) −1.18863 0.863587i −0.0612174 0.0444770i
\(378\) 4.35009 3.16053i 0.223745 0.162560i
\(379\) −4.10368 + 12.6298i −0.210792 + 0.648751i 0.788634 + 0.614864i \(0.210789\pi\)
−0.999426 + 0.0338879i \(0.989211\pi\)
\(380\) 0.828131 2.54873i 0.0424822 0.130747i
\(381\) 1.33595 0.970628i 0.0684430 0.0497268i
\(382\) 16.4120 + 11.9240i 0.839712 + 0.610087i
\(383\) 5.28619 + 16.2692i 0.270112 + 0.831319i 0.990471 + 0.137718i \(0.0439767\pi\)
−0.720360 + 0.693601i \(0.756023\pi\)
\(384\) −1.14896 −0.0586327
\(385\) −1.73855 2.82444i −0.0886045 0.143947i
\(386\) 3.84508 0.195709
\(387\) 2.42129 + 7.45198i 0.123081 + 0.378805i
\(388\) 2.67340 + 1.94234i 0.135721 + 0.0986073i
\(389\) −6.91464 + 5.02378i −0.350586 + 0.254716i −0.749115 0.662440i \(-0.769521\pi\)
0.398529 + 0.917156i \(0.369521\pi\)
\(390\) −1.34819 + 4.14931i −0.0682683 + 0.210108i
\(391\) 5.31659 16.3628i 0.268872 0.827502i
\(392\) 0.809017 0.587785i 0.0408615 0.0296876i
\(393\) −18.1411 13.1803i −0.915100 0.664859i
\(394\) −3.65131 11.2376i −0.183950 0.566140i
\(395\) −6.03633 −0.303721
\(396\) 5.15167 + 2.12191i 0.258881 + 0.106630i
\(397\) 17.0472 0.855572 0.427786 0.903880i \(-0.359294\pi\)
0.427786 + 0.903880i \(0.359294\pi\)
\(398\) −3.87804 11.9354i −0.194389 0.598266i
\(399\) 2.49103 + 1.80984i 0.124708 + 0.0906054i
\(400\) −0.809017 + 0.587785i −0.0404508 + 0.0293893i
\(401\) −0.837599 + 2.57787i −0.0418277 + 0.128732i −0.969790 0.243942i \(-0.921559\pi\)
0.927962 + 0.372675i \(0.121559\pi\)
\(402\) −2.02845 + 6.24292i −0.101170 + 0.311369i
\(403\) 18.4894 13.4333i 0.921021 0.669161i
\(404\) 4.50153 + 3.27055i 0.223960 + 0.162716i
\(405\) −0.351757 1.08260i −0.0174790 0.0537947i
\(406\) 0.386922 0.0192026
\(407\) −5.12940 + 6.02997i −0.254255 + 0.298895i
\(408\) −7.44193 −0.368430
\(409\) 9.05879 + 27.8801i 0.447928 + 1.37858i 0.879240 + 0.476379i \(0.158051\pi\)
−0.431312 + 0.902203i \(0.641949\pi\)
\(410\) 7.66713 + 5.57050i 0.378652 + 0.275107i
\(411\) −17.6433 + 12.8186i −0.870279 + 0.632294i
\(412\) −2.45974 + 7.57029i −0.121183 + 0.372962i
\(413\) −1.46673 + 4.51413i −0.0721730 + 0.222126i
\(414\) −3.61001 + 2.62283i −0.177423 + 0.128905i
\(415\) 9.02466 + 6.55680i 0.443003 + 0.321860i
\(416\) −1.17340 3.61136i −0.0575307 0.177061i
\(417\) 7.56698 0.370557
\(418\) −0.679755 + 8.86215i −0.0332479 + 0.433462i
\(419\) 38.3776 1.87487 0.937434 0.348162i \(-0.113194\pi\)
0.937434 + 0.348162i \(0.113194\pi\)
\(420\) −0.355049 1.09273i −0.0173246 0.0533196i
\(421\) 30.0635 + 21.8424i 1.46520 + 1.06453i 0.981969 + 0.189041i \(0.0605380\pi\)
0.483234 + 0.875491i \(0.339462\pi\)
\(422\) 3.23585 2.35098i 0.157519 0.114444i
\(423\) 2.32669 7.16083i 0.113128 0.348171i
\(424\) 1.57543 4.84867i 0.0765095 0.235472i
\(425\) −5.24008 + 3.80714i −0.254181 + 0.184673i
\(426\) 3.09644 + 2.24970i 0.150023 + 0.108998i
\(427\) −3.60293 11.0887i −0.174358 0.536619i
\(428\) −17.4244 −0.842241
\(429\) 1.10664 14.4275i 0.0534289 0.696567i
\(430\) 4.66428 0.224932
\(431\) −9.50072 29.2402i −0.457634 1.40845i −0.868015 0.496537i \(-0.834605\pi\)
0.410382 0.911914i \(-0.365395\pi\)
\(432\) 4.35009 + 3.16053i 0.209294 + 0.152061i
\(433\) 6.91997 5.02765i 0.332552 0.241613i −0.408961 0.912552i \(-0.634109\pi\)
0.741513 + 0.670939i \(0.234109\pi\)
\(434\) −1.85987 + 5.72410i −0.0892767 + 0.274765i
\(435\) 0.137376 0.422800i 0.00658668 0.0202717i
\(436\) −3.98358 + 2.89424i −0.190779 + 0.138609i
\(437\) −5.75898 4.18414i −0.275489 0.200155i
\(438\) −5.33024 16.4048i −0.254689 0.783851i
\(439\) −24.5405 −1.17126 −0.585628 0.810580i \(-0.699152\pi\)
−0.585628 + 0.810580i \(0.699152\pi\)
\(440\) 2.14896 2.52626i 0.102448 0.120434i
\(441\) −1.67989 −0.0799947
\(442\) −7.60022 23.3911i −0.361506 1.11260i
\(443\) −21.8178 15.8516i −1.03660 0.753132i −0.0669784 0.997754i \(-0.521336\pi\)
−0.969618 + 0.244623i \(0.921336\pi\)
\(444\) −2.21871 + 1.61199i −0.105295 + 0.0765017i
\(445\) −1.81479 + 5.58534i −0.0860291 + 0.264770i
\(446\) −5.52466 + 17.0031i −0.261600 + 0.805122i
\(447\) −9.40107 + 6.83028i −0.444655 + 0.323061i
\(448\) 0.809017 + 0.587785i 0.0382225 + 0.0277702i
\(449\) −10.8713 33.4585i −0.513049 1.57900i −0.786804 0.617203i \(-0.788266\pi\)
0.273755 0.961800i \(-0.411734\pi\)
\(450\) 1.67989 0.0791907
\(451\) −29.0632 11.9708i −1.36853 0.563682i
\(452\) −11.3824 −0.535383
\(453\) −4.20148 12.9308i −0.197403 0.607543i
\(454\) −4.66159 3.38684i −0.218779 0.158952i
\(455\) 3.07200 2.23194i 0.144018 0.104635i
\(456\) −0.951490 + 2.92839i −0.0445576 + 0.137134i
\(457\) 6.31519 19.4362i 0.295412 0.909186i −0.687670 0.726023i \(-0.741367\pi\)
0.983083 0.183163i \(-0.0586335\pi\)
\(458\) −6.93827 + 5.04095i −0.324204 + 0.235548i
\(459\) 28.1759 + 20.4710i 1.31514 + 0.955506i
\(460\) 0.820830 + 2.52626i 0.0382714 + 0.117787i
\(461\) 5.59541 0.260604 0.130302 0.991474i \(-0.458405\pi\)
0.130302 + 0.991474i \(0.458405\pi\)
\(462\) 1.99752 + 3.24517i 0.0929331 + 0.150979i
\(463\) −29.5079 −1.37135 −0.685674 0.727909i \(-0.740492\pi\)
−0.685674 + 0.727909i \(0.740492\pi\)
\(464\) 0.119566 + 0.367985i 0.00555069 + 0.0170833i
\(465\) 5.59453 + 4.06466i 0.259440 + 0.188494i
\(466\) 11.6507 8.46474i 0.539709 0.392121i
\(467\) 9.68484 29.8069i 0.448161 1.37930i −0.430818 0.902439i \(-0.641775\pi\)
0.878980 0.476860i \(-0.158225\pi\)
\(468\) −1.97118 + 6.06667i −0.0911179 + 0.280432i
\(469\) 4.62204 3.35811i 0.213426 0.155063i
\(470\) −3.62605 2.63448i −0.167257 0.121520i
\(471\) 0.600223 + 1.84730i 0.0276568 + 0.0851190i
\(472\) −4.74643 −0.218472
\(473\) −15.0350 + 3.64120i −0.691312 + 0.167422i
\(474\) 6.93551 0.318559
\(475\) 0.828131 + 2.54873i 0.0379973 + 0.116944i
\(476\) 5.24008 + 3.80714i 0.240179 + 0.174500i
\(477\) −6.92874 + 5.03402i −0.317245 + 0.230492i
\(478\) 7.41938 22.8345i 0.339355 1.04443i
\(479\) 2.08629 6.42095i 0.0953252 0.293381i −0.892013 0.452010i \(-0.850707\pi\)
0.987338 + 0.158629i \(0.0507073\pi\)
\(480\) 0.929529 0.675342i 0.0424270 0.0308250i
\(481\) −7.33263 5.32747i −0.334339 0.242912i
\(482\) 5.18039 + 15.9436i 0.235960 + 0.726211i
\(483\) −3.05194 −0.138868
\(484\) −4.95492 + 9.82084i −0.225223 + 0.446402i
\(485\) −3.30450 −0.150050
\(486\) −4.58061 14.0977i −0.207781 0.639483i
\(487\) 20.5135 + 14.9040i 0.929558 + 0.675363i 0.945884 0.324504i \(-0.105197\pi\)
−0.0163269 + 0.999867i \(0.505197\pi\)
\(488\) 9.43259 6.85318i 0.426993 0.310229i
\(489\) −2.86225 + 8.80911i −0.129436 + 0.398362i
\(490\) −0.309017 + 0.951057i −0.0139600 + 0.0429644i
\(491\) −16.0082 + 11.6307i −0.722442 + 0.524885i −0.887163 0.461456i \(-0.847327\pi\)
0.164722 + 0.986340i \(0.447327\pi\)
\(492\) −8.80923 6.40028i −0.397151 0.288547i
\(493\) 0.774437 + 2.38347i 0.0348789 + 0.107346i
\(494\) −10.1761 −0.457844
\(495\) −5.41502 + 1.31141i −0.243387 + 0.0589437i
\(496\) −6.01867 −0.270246
\(497\) −1.02940 3.16815i −0.0461747 0.142111i
\(498\) −10.3690 7.53350i −0.464645 0.337584i
\(499\) 21.6595 15.7366i 0.969614 0.704466i 0.0142506 0.999898i \(-0.495464\pi\)
0.955364 + 0.295432i \(0.0954637\pi\)
\(500\) 0.309017 0.951057i 0.0138197 0.0425325i
\(501\) 5.75812 17.7217i 0.257254 0.791745i
\(502\) −1.96177 + 1.42531i −0.0875582 + 0.0636147i
\(503\) 0.287272 + 0.208715i 0.0128088 + 0.00930614i 0.594171 0.804339i \(-0.297480\pi\)
−0.581362 + 0.813645i \(0.697480\pi\)
\(504\) −0.519114 1.59767i −0.0231232 0.0711658i
\(505\) −5.56420 −0.247604
\(506\) −4.61803 7.50245i −0.205297 0.333525i
\(507\) 1.63010 0.0723951
\(508\) −0.444131 1.36689i −0.0197051 0.0606461i
\(509\) 19.3956 + 14.0917i 0.859695 + 0.624605i 0.927802 0.373073i \(-0.121696\pi\)
−0.0681068 + 0.997678i \(0.521696\pi\)
\(510\) 6.02065 4.37426i 0.266599 0.193695i
\(511\) −4.63918 + 14.2779i −0.205225 + 0.631619i
\(512\) −0.309017 + 0.951057i −0.0136568 + 0.0420312i
\(513\) 11.6578 8.46986i 0.514703 0.373953i
\(514\) 4.19368 + 3.04688i 0.184975 + 0.134392i
\(515\) −2.45974 7.57029i −0.108389 0.333587i
\(516\) −5.35908 −0.235920
\(517\) 13.7450 + 5.66140i 0.604504 + 0.248988i
\(518\) 2.38692 0.104875
\(519\) 4.31741 + 13.2876i 0.189513 + 0.583261i
\(520\) 3.07200 + 2.23194i 0.134716 + 0.0978771i
\(521\) 5.87027 4.26500i 0.257181 0.186853i −0.451722 0.892159i \(-0.649190\pi\)
0.708904 + 0.705305i \(0.249190\pi\)
\(522\) 0.200857 0.618174i 0.00879126 0.0270567i
\(523\) −5.30654 + 16.3318i −0.232039 + 0.714142i 0.765462 + 0.643481i \(0.222511\pi\)
−0.997500 + 0.0706604i \(0.977489\pi\)
\(524\) −15.7892 + 11.4715i −0.689753 + 0.501135i
\(525\) 0.929529 + 0.675342i 0.0405680 + 0.0294744i
\(526\) −6.29684 19.3797i −0.274555 0.844995i
\(527\) −38.9835 −1.69815
\(528\) −2.46907 + 2.90257i −0.107453 + 0.126318i
\(529\) −15.9443 −0.693229
\(530\) 1.57543 + 4.84867i 0.0684322 + 0.210613i
\(531\) 6.45068 + 4.68669i 0.279936 + 0.203385i
\(532\) 2.16808 1.57520i 0.0939980 0.0682935i
\(533\) 11.1204 34.2251i 0.481679 1.48246i
\(534\) 2.08512 6.41734i 0.0902319 0.277705i
\(535\) 14.0967 10.2418i 0.609452 0.442793i
\(536\) 4.62204 + 3.35811i 0.199642 + 0.145048i
\(537\) −8.27381 25.4642i −0.357041 1.09886i
\(538\) 11.4504 0.493662
\(539\) 0.253650 3.30691i 0.0109255 0.142439i
\(540\) −5.37701 −0.231390
\(541\) −7.35094 22.6239i −0.316042 0.972677i −0.975324 0.220781i \(-0.929140\pi\)
0.659282 0.751896i \(-0.270860\pi\)
\(542\) 11.9896 + 8.71094i 0.514997 + 0.374167i
\(543\) −20.5694 + 14.9445i −0.882717 + 0.641331i
\(544\) −2.00153 + 6.16008i −0.0858150 + 0.264111i
\(545\) 1.52159 4.68298i 0.0651778 0.200597i
\(546\) −3.52961 + 2.56441i −0.151053 + 0.109747i
\(547\) 31.7492 + 23.0672i 1.35750 + 0.986281i 0.998600 + 0.0529054i \(0.0168482\pi\)
0.358900 + 0.933376i \(0.383152\pi\)
\(548\) 5.86541 + 18.0519i 0.250558 + 0.771138i
\(549\) −19.5864 −0.835926
\(550\) −0.253650 + 3.30691i −0.0108157 + 0.141007i
\(551\) 1.03691 0.0441738
\(552\) −0.943102 2.90257i −0.0401411 0.123542i
\(553\) −4.88350 3.54807i −0.207667 0.150879i
\(554\) 19.8337 14.4100i 0.842651 0.612222i
\(555\) 0.847473 2.60825i 0.0359732 0.110714i
\(556\) 2.03516 6.26359i 0.0863102 0.265636i
\(557\) −34.8535 + 25.3225i −1.47679 + 1.07295i −0.498214 + 0.867054i \(0.666011\pi\)
−0.978574 + 0.205895i \(0.933989\pi\)
\(558\) 8.17972 + 5.94292i 0.346275 + 0.251584i
\(559\) −5.47307 16.8444i −0.231486 0.712441i
\(560\) −1.00000 −0.0422577
\(561\) −15.9924 + 18.8002i −0.675200 + 0.793745i
\(562\) 28.5929 1.20612
\(563\) 12.6244 + 38.8539i 0.532055 + 1.63750i 0.749929 + 0.661519i \(0.230088\pi\)
−0.217874 + 0.975977i \(0.569912\pi\)
\(564\) 4.16619 + 3.02692i 0.175428 + 0.127456i
\(565\) 9.20855 6.69041i 0.387407 0.281467i
\(566\) 1.60533 4.94068i 0.0674769 0.207672i
\(567\) 0.351757 1.08260i 0.0147724 0.0454648i
\(568\) 2.69499 1.95803i 0.113079 0.0821570i
\(569\) 3.61190 + 2.62420i 0.151419 + 0.110012i 0.660915 0.750461i \(-0.270168\pi\)
−0.509497 + 0.860473i \(0.670168\pi\)
\(570\) −0.951490 2.92839i −0.0398535 0.122657i
\(571\) 31.4272 1.31519 0.657593 0.753373i \(-0.271575\pi\)
0.657593 + 0.753373i \(0.271575\pi\)
\(572\) −11.6448 4.79635i −0.486893 0.200546i
\(573\) 23.3083 0.973717
\(574\) 2.92858 + 9.01325i 0.122237 + 0.376206i
\(575\) −2.14896 1.56131i −0.0896179 0.0651112i
\(576\) 1.35906 0.987414i 0.0566274 0.0411422i
\(577\) 2.54706 7.83905i 0.106036 0.326344i −0.883937 0.467607i \(-0.845116\pi\)
0.989972 + 0.141263i \(0.0451163\pi\)
\(578\) −7.71082 + 23.7314i −0.320728 + 0.987098i
\(579\) 3.57411 2.59674i 0.148535 0.107917i
\(580\) −0.313027 0.227427i −0.0129977 0.00944340i
\(581\) 3.44711 + 10.6091i 0.143010 + 0.440140i
\(582\) 3.79675 0.157380
\(583\) −8.86344 14.3995i −0.367086 0.596367i
\(584\) −15.0127 −0.621230
\(585\) −1.97118 6.06667i −0.0814983 0.250826i
\(586\) 14.7407 + 10.7097i 0.608931 + 0.442414i
\(587\) −0.897655 + 0.652185i −0.0370502 + 0.0269185i −0.606156 0.795346i \(-0.707289\pi\)
0.569106 + 0.822264i \(0.307289\pi\)
\(588\) 0.355049 1.09273i 0.0146420 0.0450633i
\(589\) −4.98425 + 15.3399i −0.205372 + 0.632071i
\(590\) 3.83994 2.78988i 0.158088 0.114858i
\(591\) −10.9832 7.97976i −0.451788 0.328243i
\(592\) 0.737600 + 2.27010i 0.0303152 + 0.0933005i
\(593\) 46.0484 1.89098 0.945491 0.325648i \(-0.105582\pi\)
0.945491 + 0.325648i \(0.105582\pi\)
\(594\) 17.3325 4.19759i 0.711160 0.172229i
\(595\) −6.47709 −0.265535
\(596\) 3.12533 + 9.61879i 0.128019 + 0.394001i
\(597\) −11.6652 8.47528i −0.477425 0.346870i
\(598\) 8.16004 5.92862i 0.333689 0.242439i
\(599\) −9.13467 + 28.1136i −0.373232 + 1.14869i 0.571431 + 0.820650i \(0.306389\pi\)
−0.944663 + 0.328041i \(0.893611\pi\)
\(600\) −0.355049 + 1.09273i −0.0144948 + 0.0446104i
\(601\) −4.59563 + 3.33892i −0.187460 + 0.136197i −0.677557 0.735470i \(-0.736961\pi\)
0.490097 + 0.871668i \(0.336961\pi\)
\(602\) 3.77348 + 2.74160i 0.153796 + 0.111739i
\(603\) −2.96578 9.12774i −0.120776 0.371710i
\(604\) −11.8335 −0.481500
\(605\) −1.76393 10.8576i −0.0717140 0.441426i
\(606\) 6.39305 0.259700
\(607\) 7.51424 + 23.1265i 0.304994 + 0.938674i 0.979680 + 0.200569i \(0.0642791\pi\)
−0.674686 + 0.738105i \(0.735721\pi\)
\(608\) 2.16808 + 1.57520i 0.0879271 + 0.0638827i
\(609\) 0.359655 0.261305i 0.0145740 0.0105886i
\(610\) −3.60293 + 11.0887i −0.145878 + 0.448967i
\(611\) −5.25924 + 16.1863i −0.212766 + 0.654826i
\(612\) 8.80275 6.39557i 0.355830 0.258526i
\(613\) −24.6250 17.8911i −0.994593 0.722614i −0.0336711 0.999433i \(-0.510720\pi\)
−0.960922 + 0.276819i \(0.910720\pi\)
\(614\) 3.39021 + 10.4340i 0.136818 + 0.421082i
\(615\) 10.8888 0.439079
\(616\) 3.22344 0.780656i 0.129876 0.0314535i
\(617\) 33.4297 1.34583 0.672914 0.739721i \(-0.265043\pi\)
0.672914 + 0.739721i \(0.265043\pi\)
\(618\) 2.82614 + 8.69797i 0.113684 + 0.349884i
\(619\) 3.50729 + 2.54819i 0.140970 + 0.102421i 0.656035 0.754730i \(-0.272232\pi\)
−0.515065 + 0.857151i \(0.672232\pi\)
\(620\) 4.86921 3.53769i 0.195552 0.142077i
\(621\) −4.41361 + 13.5837i −0.177112 + 0.545095i
\(622\) −6.44878 + 19.8473i −0.258572 + 0.795804i
\(623\) −4.75117 + 3.45193i −0.190352 + 0.138299i
\(624\) −3.52961 2.56441i −0.141298 0.102659i
\(625\) 0.309017 + 0.951057i 0.0123607 + 0.0380423i
\(626\) −8.64805 −0.345646
\(627\) 5.35314 + 8.69670i 0.213784 + 0.347313i
\(628\) 1.69054 0.0674599
\(629\) 4.77750 + 14.7036i 0.190491 + 0.586272i
\(630\) 1.35906 + 0.987414i 0.0541462 + 0.0393395i
\(631\) 12.4778 9.06567i 0.496735 0.360899i −0.311034 0.950399i \(-0.600675\pi\)
0.807768 + 0.589500i \(0.200675\pi\)
\(632\) 1.86533 5.74090i 0.0741988 0.228361i
\(633\) 1.42010 4.37062i 0.0564439 0.173716i
\(634\) 2.86119 2.07877i 0.113632 0.0825587i
\(635\) 1.16275 + 0.844787i 0.0461423 + 0.0335244i
\(636\) −1.81010 5.57093i −0.0717753 0.220902i
\(637\) 3.79720 0.150451
\(638\) 1.18657 + 0.488732i 0.0469766 + 0.0193491i
\(639\) −5.59603 −0.221376
\(640\) −0.309017 0.951057i −0.0122150 0.0375938i
\(641\) −28.7426 20.8827i −1.13527 0.824819i −0.148813 0.988865i \(-0.547545\pi\)
−0.986453 + 0.164047i \(0.947545\pi\)
\(642\) −16.1965 + 11.7675i −0.639225 + 0.464424i
\(643\) 15.2056 46.7981i 0.599652 1.84554i 0.0695952 0.997575i \(-0.477829\pi\)
0.530056 0.847962i \(-0.322171\pi\)
\(644\) −0.820830 + 2.52626i −0.0323452 + 0.0995484i
\(645\) 4.33559 3.14999i 0.170714 0.124031i
\(646\) 14.0428 + 10.2027i 0.552507 + 0.401420i
\(647\) 3.70266 + 11.3956i 0.145566 + 0.448007i 0.997083 0.0763197i \(-0.0243170\pi\)
−0.851517 + 0.524327i \(0.824317\pi\)
\(648\) 1.13831 0.0447171
\(649\) −10.1999 + 11.9907i −0.400381 + 0.470676i
\(650\) −3.79720 −0.148939
\(651\) 2.13692 + 6.57676i 0.0837525 + 0.257764i
\(652\) 6.52196 + 4.73848i 0.255420 + 0.185573i
\(653\) 40.8261 29.6619i 1.59765 1.16076i 0.705812 0.708399i \(-0.250582\pi\)
0.891835 0.452360i \(-0.149418\pi\)
\(654\) −1.74825 + 5.38056i −0.0683620 + 0.210397i
\(655\) 6.03093 18.5613i 0.235648 0.725249i
\(656\) −7.66713 + 5.57050i −0.299351 + 0.217491i
\(657\) 20.4031 + 14.8238i 0.796002 + 0.578330i
\(658\) −1.38503 4.26268i −0.0539941 0.166177i
\(659\) 29.2967 1.14124 0.570618 0.821216i \(-0.306704\pi\)
0.570618 + 0.821216i \(0.306704\pi\)
\(660\) 0.291435 3.79951i 0.0113441 0.147896i
\(661\) 35.0445 1.36307 0.681537 0.731784i \(-0.261312\pi\)
0.681537 + 0.731784i \(0.261312\pi\)
\(662\) −3.15094 9.69759i −0.122465 0.376907i
\(663\) −22.8616 16.6099i −0.887872 0.645077i
\(664\) −9.02466 + 6.55680i −0.350225 + 0.254453i
\(665\) −0.828131 + 2.54873i −0.0321135 + 0.0988353i
\(666\) 1.23908 3.81351i 0.0480136 0.147771i
\(667\) −0.831481 + 0.604106i −0.0321951 + 0.0233911i
\(668\) −13.1205 9.53260i −0.507647 0.368827i
\(669\) 6.34761 + 19.5359i 0.245413 + 0.755303i
\(670\) −5.71316 −0.220719
\(671\) 2.95739 38.5564i 0.114169 1.48845i
\(672\) 1.14896 0.0443221
\(673\) 11.5802 + 35.6402i 0.446384 + 1.37383i 0.880958 + 0.473194i \(0.156899\pi\)
−0.434574 + 0.900636i \(0.643101\pi\)
\(674\) −11.4130 8.29201i −0.439611 0.319396i
\(675\) 4.35009 3.16053i 0.167435 0.121649i
\(676\) 0.438420 1.34932i 0.0168623 0.0518969i
\(677\) 2.60278 8.01055i 0.100033 0.307870i −0.888500 0.458877i \(-0.848252\pi\)
0.988533 + 0.151007i \(0.0482517\pi\)
\(678\) −10.5803 + 7.68702i −0.406333 + 0.295218i
\(679\) −2.67340 1.94234i −0.102596 0.0745401i
\(680\) −2.00153 6.16008i −0.0767552 0.236228i
\(681\) −6.62036 −0.253693
\(682\) −12.9339 + 15.2047i −0.495264 + 0.582218i
\(683\) 14.9986 0.573904 0.286952 0.957945i \(-0.407358\pi\)
0.286952 + 0.957945i \(0.407358\pi\)
\(684\) −1.39117 4.28157i −0.0531926 0.163710i
\(685\) −15.3558 11.1567i −0.586717 0.426275i
\(686\) −0.809017 + 0.587785i −0.0308884 + 0.0224417i
\(687\) −3.04496 + 9.37141i −0.116172 + 0.357542i
\(688\) −1.44134 + 4.43600i −0.0549507 + 0.169121i
\(689\) 15.6616 11.3789i 0.596661 0.433500i
\(690\) 2.46907 + 1.79389i 0.0939960 + 0.0682921i
\(691\) 13.5639 + 41.7454i 0.515996 + 1.58807i 0.781463 + 0.623951i \(0.214474\pi\)
−0.265468 + 0.964120i \(0.585526\pi\)
\(692\) 12.1600 0.462255
\(693\) −5.15167 2.12191i −0.195696 0.0806048i
\(694\) −4.16926 −0.158263
\(695\) 2.03516 + 6.26359i 0.0771982 + 0.237592i
\(696\) 0.359655 + 0.261305i 0.0136327 + 0.00990474i
\(697\) −49.6607 + 36.0806i −1.88103 + 1.36665i
\(698\) −2.48367 + 7.64396i −0.0940085 + 0.289328i
\(699\) 5.11308 15.7364i 0.193394 0.595207i
\(700\) 0.809017 0.587785i 0.0305780 0.0222162i
\(701\) 35.0980 + 25.5002i 1.32563 + 0.963130i 0.999844 + 0.0176883i \(0.00563067\pi\)
0.325791 + 0.945442i \(0.394369\pi\)
\(702\) 6.30939 + 19.4183i 0.238132 + 0.732896i
\(703\) 6.39668 0.241256
\(704\) 1.73855 + 2.82444i 0.0655239 + 0.106450i
\(705\) −5.14970 −0.193949
\(706\) −4.88115 15.0226i −0.183705 0.565385i
\(707\) −4.50153 3.27055i −0.169298 0.123002i
\(708\) −4.41195 + 3.20547i −0.165811 + 0.120469i
\(709\) 2.04287 6.28732i 0.0767217 0.236125i −0.905339 0.424689i \(-0.860383\pi\)
0.982061 + 0.188564i \(0.0603833\pi\)
\(710\) −1.02940 + 3.16815i −0.0386325 + 0.118899i
\(711\) −8.20373 + 5.96036i −0.307664 + 0.223531i
\(712\) −4.75117 3.45193i −0.178058 0.129367i
\(713\) −4.94031 15.2047i −0.185016 0.569420i
\(714\) 7.44193 0.278507
\(715\) 12.2401 2.96431i 0.457752 0.110859i
\(716\) −23.3033 −0.870886
\(717\) −8.52458 26.2360i −0.318356 0.979800i
\(718\) 5.37205 + 3.90303i 0.200483 + 0.145660i
\(719\) 22.2569 16.1706i 0.830043 0.603062i −0.0895285 0.995984i \(-0.528536\pi\)
0.919571 + 0.392923i \(0.128536\pi\)
\(720\) −0.519114 + 1.59767i −0.0193462 + 0.0595416i
\(721\) 2.45974 7.57029i 0.0916054 0.281933i
\(722\) −9.56112 + 6.94656i −0.355828 + 0.258524i
\(723\) 15.5827 + 11.3215i 0.579527 + 0.421051i
\(724\) 6.83818 + 21.0458i 0.254139 + 0.782160i
\(725\) 0.386922 0.0143699
\(726\) 2.02669 + 12.4750i 0.0752175 + 0.462991i
\(727\) −13.3895 −0.496590 −0.248295 0.968685i \(-0.579870\pi\)
−0.248295 + 0.968685i \(0.579870\pi\)
\(728\) 1.17340 + 3.61136i 0.0434891 + 0.133846i
\(729\) −16.5413 12.0180i −0.612640 0.445109i
\(730\) 12.1455 8.82425i 0.449526 0.326600i
\(731\) −9.33571 + 28.7323i −0.345294 + 1.06270i
\(732\) 4.13963 12.7405i 0.153005 0.470901i
\(733\) 37.1376 26.9820i 1.37171 0.996604i 0.374107 0.927386i \(-0.377949\pi\)
0.997602 0.0692185i \(-0.0220506\pi\)
\(734\) 13.4544 + 9.77519i 0.496611 + 0.360809i
\(735\) 0.355049 + 1.09273i 0.0130962 + 0.0403058i
\(736\) −2.65626 −0.0979111
\(737\) 18.4160 4.46001i 0.678364 0.164287i
\(738\) 15.9205 0.586040
\(739\) −4.80834 14.7985i −0.176878 0.544373i 0.822837 0.568278i \(-0.192390\pi\)
−0.999714 + 0.0239048i \(0.992390\pi\)
\(740\) −1.93106 1.40300i −0.0709872 0.0515752i
\(741\) −9.45896 + 6.87234i −0.347484 + 0.252462i
\(742\) −1.57543 + 4.84867i −0.0578357 + 0.178000i
\(743\) 9.87890 30.4041i 0.362422 1.11542i −0.589158 0.808018i \(-0.700541\pi\)
0.951580 0.307401i \(-0.0994594\pi\)
\(744\) −5.59453 + 4.06466i −0.205105 + 0.149018i
\(745\) −8.18223 5.94474i −0.299774 0.217798i
\(746\) 2.25730 + 6.94725i 0.0826456 + 0.254357i
\(747\) 18.7393 0.685635
\(748\) 11.2607 + 18.2942i 0.411733 + 0.668901i
\(749\) 17.4244 0.636675
\(750\) −0.355049 1.09273i −0.0129645 0.0399007i
\(751\) −25.6503 18.6361i −0.935994 0.680040i 0.0114587 0.999934i \(-0.496353\pi\)
−0.947453 + 0.319895i \(0.896353\pi\)
\(752\) 3.62605 2.63448i 0.132229 0.0960697i
\(753\) −0.860951 + 2.64974i −0.0313748 + 0.0965617i
\(754\) −0.454015 + 1.39731i −0.0165342 + 0.0508872i
\(755\) 9.57353 6.95558i 0.348417 0.253139i
\(756\) −4.35009 3.16053i −0.158211 0.114947i
\(757\) −6.90054 21.2377i −0.250804 0.771897i −0.994627 0.103520i \(-0.966989\pi\)
0.743823 0.668377i \(-0.233011\pi\)
\(758\) 13.2798 0.482344
\(759\) −9.35932 3.85499i −0.339722 0.139927i
\(760\) −2.67989 −0.0972098
\(761\) 5.36631 + 16.5158i 0.194529 + 0.598697i 0.999982 + 0.00603791i \(0.00192194\pi\)
−0.805453 + 0.592659i \(0.798078\pi\)
\(762\) −1.33595 0.970628i −0.0483965 0.0351621i
\(763\) 3.98358 2.89424i 0.144215 0.104779i
\(764\) 6.26884 19.2935i 0.226799 0.698014i
\(765\) −3.36235 + 10.3482i −0.121566 + 0.374142i
\(766\) 13.8394 10.0549i 0.500039 0.363300i
\(767\) −14.5811 10.5938i −0.526491 0.382518i
\(768\) 0.355049 + 1.09273i 0.0128117 + 0.0394304i
\(769\) −36.3673 −1.31144 −0.655720 0.755004i \(-0.727635\pi\)
−0.655720 + 0.755004i \(0.727635\pi\)
\(770\) −2.14896 + 2.52626i −0.0774432 + 0.0910399i
\(771\) 5.95584 0.214494
\(772\) −1.18819 3.65689i −0.0427640 0.131614i
\(773\) 42.9363 + 31.1951i 1.54431 + 1.12201i 0.947558 + 0.319583i \(0.103543\pi\)
0.596753 + 0.802425i \(0.296457\pi\)
\(774\) 6.33903 4.60557i 0.227852 0.165544i