Properties

Label 418.2.f.f.115.3
Level $418$
Weight $2$
Character 418.115
Analytic conductor $3.338$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 418 = 2 \cdot 11 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 418.f (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.33774680449\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 6 x^{15} + 24 x^{14} - 62 x^{13} + 148 x^{12} - 232 x^{11} + 432 x^{10} - 356 x^{9} + 424 x^{8} - 320 x^{7} + 712 x^{6} - 936 x^{5} + 968 x^{4} - 336 x^{3} + 208 x^{2} + \cdots + 16 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 115.3
Root \(-0.151066 - 0.464934i\) of defining polynomial
Character \(\chi\) \(=\) 418.115
Dual form 418.2.f.f.229.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.309017 + 0.951057i) q^{2} +(-0.128416 - 0.0932996i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.950820 - 2.92632i) q^{5} +(0.0490505 - 0.150962i) q^{6} +(-1.09378 + 0.794679i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.919265 - 2.82921i) q^{9} +O(q^{10})\) \(q+(0.309017 + 0.951057i) q^{2} +(-0.128416 - 0.0932996i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(0.950820 - 2.92632i) q^{5} +(0.0490505 - 0.150962i) q^{6} +(-1.09378 + 0.794679i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(-0.919265 - 2.82921i) q^{9} +3.07692 q^{10} +(3.30564 + 0.269725i) q^{11} +0.158731 q^{12} +(-0.162774 - 0.500965i) q^{13} +(-1.09378 - 0.794679i) q^{14} +(-0.395125 + 0.287075i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.23602 - 6.88177i) q^{17} +(2.40667 - 1.74855i) q^{18} +(0.809017 + 0.587785i) q^{19} +(0.950820 + 2.92632i) q^{20} +0.214602 q^{21} +(0.764975 + 3.22720i) q^{22} +2.09183 q^{23} +(0.0490505 + 0.150962i) q^{24} +(-3.61422 - 2.62588i) q^{25} +(0.426147 - 0.309614i) q^{26} +(-0.293067 + 0.901968i) q^{27} +(0.417787 - 1.28582i) q^{28} +(0.224804 - 0.163330i) q^{29} +(-0.395125 - 0.287075i) q^{30} +(-0.532890 - 1.64007i) q^{31} +1.00000 q^{32} +(-0.399331 - 0.343052i) q^{33} +7.23593 q^{34} +(1.28550 + 3.95635i) q^{35} +(2.40667 + 1.74855i) q^{36} +(-7.21017 + 5.23850i) q^{37} +(-0.309017 + 0.951057i) q^{38} +(-0.0258372 + 0.0795186i) q^{39} +(-2.48928 + 1.80857i) q^{40} +(6.77434 + 4.92185i) q^{41} +(0.0663157 + 0.204099i) q^{42} +6.30119 q^{43} +(-2.83286 + 1.72479i) q^{44} -9.15323 q^{45} +(0.646410 + 1.98944i) q^{46} +(-1.59143 - 1.15624i) q^{47} +(-0.128416 + 0.0932996i) q^{48} +(-1.59828 + 4.91899i) q^{49} +(1.38051 - 4.24877i) q^{50} +(-0.929207 + 0.675109i) q^{51} +(0.426147 + 0.309614i) q^{52} +(-0.682009 - 2.09901i) q^{53} -0.948385 q^{54} +(3.93237 - 9.41690i) q^{55} +1.35199 q^{56} +(-0.0490505 - 0.150962i) q^{57} +(0.224804 + 0.163330i) q^{58} +(-7.05701 + 5.12722i) q^{59} +(0.150924 - 0.464497i) q^{60} +(1.97372 - 6.07450i) q^{61} +(1.39512 - 1.01362i) q^{62} +(3.25379 + 2.36401i) q^{63} +(0.309017 + 0.951057i) q^{64} -1.62075 q^{65} +(0.202861 - 0.485795i) q^{66} -1.02001 q^{67} +(2.23602 + 6.88177i) q^{68} +(-0.268624 - 0.195166i) q^{69} +(-3.36547 + 2.44516i) q^{70} +(-1.14764 + 3.53208i) q^{71} +(-0.919265 + 2.82921i) q^{72} +(-1.39281 + 1.01194i) q^{73} +(-7.21017 - 5.23850i) q^{74} +(0.219129 + 0.674410i) q^{75} -1.00000 q^{76} +(-3.82999 + 2.33190i) q^{77} -0.0836108 q^{78} +(2.32820 + 7.16548i) q^{79} +(-2.48928 - 1.80857i) q^{80} +(-7.09821 + 5.15715i) q^{81} +(-2.58757 + 7.96371i) q^{82} +(2.00766 - 6.17895i) q^{83} +(-0.173617 + 0.126140i) q^{84} +(-18.0122 - 13.0867i) q^{85} +(1.94718 + 5.99279i) q^{86} -0.0441070 q^{87} +(-2.51578 - 2.16122i) q^{88} -10.3518 q^{89} +(-2.82850 - 8.70524i) q^{90} +(0.576145 + 0.418594i) q^{91} +(-1.69232 + 1.22954i) q^{92} +(-0.0845860 + 0.260329i) q^{93} +(0.607871 - 1.87083i) q^{94} +(2.48928 - 1.80857i) q^{95} +(-0.128416 - 0.0932996i) q^{96} +(-3.22678 - 9.93100i) q^{97} -5.17213 q^{98} +(-2.27565 - 9.60029i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q - 4 q^{2} - 4 q^{4} + 4 q^{5} + 6 q^{7} - 4 q^{8} - 20 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 16 q - 4 q^{2} - 4 q^{4} + 4 q^{5} + 6 q^{7} - 4 q^{8} - 20 q^{9} + 4 q^{10} + 2 q^{11} - 14 q^{13} + 6 q^{14} - 10 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{19} + 4 q^{20} + 28 q^{21} + 2 q^{22} + 24 q^{23} - 4 q^{26} - 18 q^{27} - 14 q^{28} - 22 q^{29} - 10 q^{30} - 24 q^{31} + 16 q^{32} + 2 q^{33} + 8 q^{34} - 20 q^{35} + 6 q^{37} + 4 q^{38} + 72 q^{39} - 6 q^{40} - 14 q^{41} - 22 q^{42} + 56 q^{43} + 12 q^{44} - 56 q^{45} + 4 q^{46} - 38 q^{47} - 36 q^{49} + 56 q^{51} - 4 q^{52} + 22 q^{53} - 48 q^{54} - 6 q^{55} + 16 q^{56} - 22 q^{58} - 28 q^{59} + 12 q^{61} + 26 q^{62} - 20 q^{63} - 4 q^{64} - 32 q^{65} + 12 q^{66} - 44 q^{67} + 8 q^{68} + 64 q^{69} - 20 q^{70} + 16 q^{71} - 20 q^{72} + 12 q^{73} + 6 q^{74} + 32 q^{75} - 16 q^{76} - 12 q^{77} - 8 q^{78} + 48 q^{79} - 6 q^{80} - 64 q^{81} + 6 q^{82} + 14 q^{83} + 8 q^{84} + 6 q^{85} - 14 q^{86} + 84 q^{87} - 8 q^{88} - 56 q^{89} + 34 q^{90} + 26 q^{91} - 16 q^{92} - 46 q^{93} + 32 q^{94} + 6 q^{95} - 24 q^{97} + 64 q^{98} - 56 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).

\(n\) \(287\) \(343\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{5}\right)\)

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
\(3\) −0.128416 0.0932996i −0.0741409 0.0538665i 0.550097 0.835100i \(-0.314591\pi\)
−0.624238 + 0.781234i \(0.714591\pi\)
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) 0.950820 2.92632i 0.425219 1.30869i −0.477565 0.878597i \(-0.658480\pi\)
0.902784 0.430094i \(-0.141520\pi\)
\(6\) 0.0490505 0.150962i 0.0200248 0.0616299i
\(7\) −1.09378 + 0.794679i −0.413410 + 0.300360i −0.774981 0.631984i \(-0.782241\pi\)
0.361571 + 0.932345i \(0.382241\pi\)
\(8\) −0.809017 0.587785i −0.286031 0.207813i
\(9\) −0.919265 2.82921i −0.306422 0.943069i
\(10\) 3.07692 0.973007
\(11\) 3.30564 + 0.269725i 0.996688 + 0.0813250i
\(12\) 0.158731 0.0458216
\(13\) −0.162774 0.500965i −0.0451453 0.138943i 0.925943 0.377663i \(-0.123272\pi\)
−0.971088 + 0.238720i \(0.923272\pi\)
\(14\) −1.09378 0.794679i −0.292325 0.212387i
\(15\) −0.395125 + 0.287075i −0.102021 + 0.0741224i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 2.23602 6.88177i 0.542315 1.66908i −0.184973 0.982744i \(-0.559220\pi\)
0.727289 0.686332i \(-0.240780\pi\)
\(18\) 2.40667 1.74855i 0.567257 0.412136i
\(19\) 0.809017 + 0.587785i 0.185601 + 0.134847i
\(20\) 0.950820 + 2.92632i 0.212610 + 0.654345i
\(21\) 0.214602 0.0468300
\(22\) 0.764975 + 3.22720i 0.163093 + 0.688041i
\(23\) 2.09183 0.436176 0.218088 0.975929i \(-0.430018\pi\)
0.218088 + 0.975929i \(0.430018\pi\)
\(24\) 0.0490505 + 0.150962i 0.0100124 + 0.0308150i
\(25\) −3.61422 2.62588i −0.722843 0.525176i
\(26\) 0.426147 0.309614i 0.0835742 0.0607202i
\(27\) −0.293067 + 0.901968i −0.0564008 + 0.173584i
\(28\) 0.417787 1.28582i 0.0789544 0.242997i
\(29\) 0.224804 0.163330i 0.0417451 0.0303296i −0.566717 0.823912i \(-0.691787\pi\)
0.608462 + 0.793583i \(0.291787\pi\)
\(30\) −0.395125 0.287075i −0.0721396 0.0524125i
\(31\) −0.532890 1.64007i −0.0957099 0.294565i 0.891728 0.452571i \(-0.149493\pi\)
−0.987438 + 0.158007i \(0.949493\pi\)
\(32\) 1.00000 0.176777
\(33\) −0.399331 0.343052i −0.0695146 0.0597176i
\(34\) 7.23593 1.24095
\(35\) 1.28550 + 3.95635i 0.217289 + 0.668746i
\(36\) 2.40667 + 1.74855i 0.401111 + 0.291424i
\(37\) −7.21017 + 5.23850i −1.18535 + 0.861204i −0.992765 0.120077i \(-0.961686\pi\)
−0.192581 + 0.981281i \(0.561686\pi\)
\(38\) −0.309017 + 0.951057i −0.0501292 + 0.154282i
\(39\) −0.0258372 + 0.0795186i −0.00413726 + 0.0127332i
\(40\) −2.48928 + 1.80857i −0.393589 + 0.285959i
\(41\) 6.77434 + 4.92185i 1.05797 + 0.768663i 0.973713 0.227780i \(-0.0731469\pi\)
0.0842616 + 0.996444i \(0.473147\pi\)
\(42\) 0.0663157 + 0.204099i 0.0102327 + 0.0314931i
\(43\) 6.30119 0.960923 0.480461 0.877016i \(-0.340469\pi\)
0.480461 + 0.877016i \(0.340469\pi\)
\(44\) −2.83286 + 1.72479i −0.427069 + 0.260022i
\(45\) −9.15323 −1.36448
\(46\) 0.646410 + 1.98944i 0.0953079 + 0.293328i
\(47\) −1.59143 1.15624i −0.232133 0.168655i 0.465638 0.884975i \(-0.345825\pi\)
−0.697771 + 0.716320i \(0.745825\pi\)
\(48\) −0.128416 + 0.0932996i −0.0185352 + 0.0134666i
\(49\) −1.59828 + 4.91899i −0.228325 + 0.702712i
\(50\) 1.38051 4.24877i 0.195233 0.600866i
\(51\) −0.929207 + 0.675109i −0.130115 + 0.0945341i
\(52\) 0.426147 + 0.309614i 0.0590959 + 0.0429357i
\(53\) −0.682009 2.09901i −0.0936811 0.288321i 0.893227 0.449607i \(-0.148436\pi\)
−0.986908 + 0.161286i \(0.948436\pi\)
\(54\) −0.948385 −0.129059
\(55\) 3.93237 9.41690i 0.530240 1.26978i
\(56\) 1.35199 0.180667
\(57\) −0.0490505 0.150962i −0.00649690 0.0199954i
\(58\) 0.224804 + 0.163330i 0.0295182 + 0.0214463i
\(59\) −7.05701 + 5.12722i −0.918745 + 0.667507i −0.943211 0.332193i \(-0.892211\pi\)
0.0244664 + 0.999701i \(0.492211\pi\)
\(60\) 0.150924 0.464497i 0.0194842 0.0599663i
\(61\) 1.97372 6.07450i 0.252709 0.777759i −0.741563 0.670883i \(-0.765915\pi\)
0.994272 0.106876i \(-0.0340848\pi\)
\(62\) 1.39512 1.01362i 0.177181 0.128730i
\(63\) 3.25379 + 2.36401i 0.409938 + 0.297838i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −1.62075 −0.201030
\(66\) 0.202861 0.485795i 0.0249705 0.0597973i
\(67\) −1.02001 −0.124614 −0.0623071 0.998057i \(-0.519846\pi\)
−0.0623071 + 0.998057i \(0.519846\pi\)
\(68\) 2.23602 + 6.88177i 0.271158 + 0.834538i
\(69\) −0.268624 0.195166i −0.0323385 0.0234953i
\(70\) −3.36547 + 2.44516i −0.402251 + 0.292253i
\(71\) −1.14764 + 3.53208i −0.136200 + 0.419181i −0.995775 0.0918293i \(-0.970729\pi\)
0.859575 + 0.511010i \(0.170729\pi\)
\(72\) −0.919265 + 2.82921i −0.108336 + 0.333425i
\(73\) −1.39281 + 1.01194i −0.163016 + 0.118438i −0.666303 0.745681i \(-0.732124\pi\)
0.503286 + 0.864120i \(0.332124\pi\)
\(74\) −7.21017 5.23850i −0.838166 0.608963i
\(75\) 0.219129 + 0.674410i 0.0253028 + 0.0778741i
\(76\) −1.00000 −0.114708
\(77\) −3.82999 + 2.33190i −0.436468 + 0.265745i
\(78\) −0.0836108 −0.00946706
\(79\) 2.32820 + 7.16548i 0.261943 + 0.806179i 0.992382 + 0.123200i \(0.0393158\pi\)
−0.730438 + 0.682979i \(0.760684\pi\)
\(80\) −2.48928 1.80857i −0.278310 0.202204i
\(81\) −7.09821 + 5.15715i −0.788691 + 0.573017i
\(82\) −2.58757 + 7.96371i −0.285749 + 0.879445i
\(83\) 2.00766 6.17895i 0.220369 0.678228i −0.778359 0.627819i \(-0.783948\pi\)
0.998729 0.0504083i \(-0.0160523\pi\)
\(84\) −0.173617 + 0.126140i −0.0189431 + 0.0137630i
\(85\) −18.0122 13.0867i −1.95370 1.41945i
\(86\) 1.94718 + 5.99279i 0.209969 + 0.646219i
\(87\) −0.0441070 −0.00472877
\(88\) −2.51578 2.16122i −0.268183 0.230387i
\(89\) −10.3518 −1.09728 −0.548642 0.836057i \(-0.684855\pi\)
−0.548642 + 0.836057i \(0.684855\pi\)
\(90\) −2.82850 8.70524i −0.298150 0.917612i
\(91\) 0.576145 + 0.418594i 0.0603964 + 0.0438806i
\(92\) −1.69232 + 1.22954i −0.176437 + 0.128189i
\(93\) −0.0845860 + 0.260329i −0.00877116 + 0.0269949i
\(94\) 0.607871 1.87083i 0.0626971 0.192962i
\(95\) 2.48928 1.80857i 0.255395 0.185555i
\(96\) −0.128416 0.0932996i −0.0131064 0.00952235i
\(97\) −3.22678 9.93100i −0.327630 1.00834i −0.970240 0.242147i \(-0.922148\pi\)
0.642610 0.766194i \(-0.277852\pi\)
\(98\) −5.17213 −0.522464
\(99\) −2.27565 9.60029i −0.228712 0.964865i
\(100\) 4.46742 0.446742
\(101\) 5.13200 + 15.7947i 0.510653 + 1.57163i 0.791054 + 0.611746i \(0.209532\pi\)
−0.280401 + 0.959883i \(0.590468\pi\)
\(102\) −0.929207 0.675109i −0.0920052 0.0668457i
\(103\) 5.10366 3.70802i 0.502878 0.365362i −0.307237 0.951633i \(-0.599404\pi\)
0.810115 + 0.586271i \(0.199404\pi\)
\(104\) −0.162774 + 0.500965i −0.0159613 + 0.0491237i
\(105\) 0.204048 0.627995i 0.0199130 0.0612860i
\(106\) 1.78552 1.29726i 0.173425 0.126001i
\(107\) −10.6789 7.75871i −1.03237 0.750063i −0.0635904 0.997976i \(-0.520255\pi\)
−0.968782 + 0.247914i \(0.920255\pi\)
\(108\) −0.293067 0.901968i −0.0282004 0.0867919i
\(109\) 4.47355 0.428488 0.214244 0.976780i \(-0.431271\pi\)
0.214244 + 0.976780i \(0.431271\pi\)
\(110\) 10.1712 + 0.829920i 0.969784 + 0.0791298i
\(111\) 1.41465 0.134273
\(112\) 0.417787 + 1.28582i 0.0394772 + 0.121498i
\(113\) 10.1613 + 7.38265i 0.955899 + 0.694501i 0.952195 0.305492i \(-0.0988208\pi\)
0.00370440 + 0.999993i \(0.498821\pi\)
\(114\) 0.128416 0.0932996i 0.0120272 0.00873830i
\(115\) 1.98895 6.12135i 0.185470 0.570819i
\(116\) −0.0858676 + 0.264273i −0.00797261 + 0.0245372i
\(117\) −1.26770 + 0.921040i −0.117199 + 0.0851502i
\(118\) −7.05701 5.12722i −0.649651 0.471999i
\(119\) 3.02308 + 9.30408i 0.277125 + 0.852903i
\(120\) 0.488401 0.0445847
\(121\) 10.8545 + 1.78322i 0.986772 + 0.162111i
\(122\) 6.38710 0.578261
\(123\) −0.410726 1.26409i −0.0370340 0.113979i
\(124\) 1.39512 + 1.01362i 0.125286 + 0.0910255i
\(125\) 1.32575 0.963213i 0.118579 0.0861523i
\(126\) −1.24284 + 3.82505i −0.110721 + 0.340763i
\(127\) −5.08585 + 15.6526i −0.451296 + 1.38895i 0.424133 + 0.905600i \(0.360579\pi\)
−0.875429 + 0.483347i \(0.839421\pi\)
\(128\) −0.809017 + 0.587785i −0.0715077 + 0.0519534i
\(129\) −0.809173 0.587899i −0.0712437 0.0517616i
\(130\) −0.500841 1.54143i −0.0439266 0.135192i
\(131\) 15.1571 1.32428 0.662140 0.749380i \(-0.269648\pi\)
0.662140 + 0.749380i \(0.269648\pi\)
\(132\) 0.524706 + 0.0428136i 0.0456698 + 0.00372644i
\(133\) −1.35199 −0.117232
\(134\) −0.315201 0.970088i −0.0272292 0.0838029i
\(135\) 2.36079 + 1.71522i 0.203185 + 0.147622i
\(136\) −5.85399 + 4.25317i −0.501975 + 0.364706i
\(137\) −1.68735 + 5.19313i −0.144160 + 0.443679i −0.996902 0.0786532i \(-0.974938\pi\)
0.852742 + 0.522333i \(0.174938\pi\)
\(138\) 0.102605 0.315786i 0.00873432 0.0268815i
\(139\) 7.46676 5.42492i 0.633323 0.460136i −0.224227 0.974537i \(-0.571986\pi\)
0.857550 + 0.514401i \(0.171986\pi\)
\(140\) −3.36547 2.44516i −0.284434 0.206654i
\(141\) 0.0964878 + 0.296959i 0.00812574 + 0.0250084i
\(142\) −3.71385 −0.311659
\(143\) −0.402948 1.69991i −0.0336962 0.142154i
\(144\) −2.97480 −0.247900
\(145\) −0.264207 0.813147i −0.0219412 0.0675282i
\(146\) −1.39281 1.01194i −0.115270 0.0837485i
\(147\) 0.664183 0.482557i 0.0547809 0.0398007i
\(148\) 2.75404 8.47607i 0.226381 0.696728i
\(149\) −3.81024 + 11.7267i −0.312147 + 0.960690i 0.664766 + 0.747052i \(0.268531\pi\)
−0.976913 + 0.213638i \(0.931469\pi\)
\(150\) −0.573687 + 0.416808i −0.0468413 + 0.0340322i
\(151\) −2.94044 2.13636i −0.239290 0.173854i 0.461677 0.887048i \(-0.347248\pi\)
−0.700967 + 0.713194i \(0.747248\pi\)
\(152\) −0.309017 0.951057i −0.0250646 0.0771409i
\(153\) −21.5255 −1.74023
\(154\) −3.40130 2.92194i −0.274085 0.235457i
\(155\) −5.30605 −0.426192
\(156\) −0.0258372 0.0795186i −0.00206863 0.00636658i
\(157\) 0.705098 + 0.512284i 0.0562729 + 0.0408847i 0.615566 0.788085i \(-0.288927\pi\)
−0.559293 + 0.828970i \(0.688927\pi\)
\(158\) −6.09532 + 4.42851i −0.484917 + 0.352313i
\(159\) −0.108256 + 0.333177i −0.00858524 + 0.0264226i
\(160\) 0.950820 2.92632i 0.0751689 0.231346i
\(161\) −2.28800 + 1.66233i −0.180320 + 0.131010i
\(162\) −7.09821 5.15715i −0.557688 0.405184i
\(163\) −2.39047 7.35710i −0.187236 0.576253i 0.812744 0.582621i \(-0.197973\pi\)
−0.999980 + 0.00636854i \(0.997973\pi\)
\(164\) −8.37354 −0.653864
\(165\) −1.38357 + 0.842391i −0.107711 + 0.0655801i
\(166\) 6.49693 0.504259
\(167\) 6.74535 + 20.7600i 0.521971 + 1.60646i 0.770229 + 0.637767i \(0.220142\pi\)
−0.248259 + 0.968694i \(0.579858\pi\)
\(168\) −0.173617 0.126140i −0.0133948 0.00973190i
\(169\) 10.2927 7.47812i 0.791750 0.575240i
\(170\) 6.88006 21.1746i 0.527676 1.62402i
\(171\) 0.919265 2.82921i 0.0702980 0.216355i
\(172\) −5.09777 + 3.70375i −0.388701 + 0.282408i
\(173\) 8.90740 + 6.47160i 0.677217 + 0.492027i 0.872433 0.488733i \(-0.162541\pi\)
−0.195216 + 0.980760i \(0.562541\pi\)
\(174\) −0.0136298 0.0419483i −0.00103327 0.00318009i
\(175\) 6.03989 0.456573
\(176\) 1.27802 3.06050i 0.0963345 0.230694i
\(177\) 1.38460 0.104073
\(178\) −3.19887 9.84510i −0.239765 0.737922i
\(179\) 10.1553 + 7.37829i 0.759046 + 0.551479i 0.898618 0.438733i \(-0.144572\pi\)
−0.139571 + 0.990212i \(0.544572\pi\)
\(180\) 7.40512 5.38013i 0.551945 0.401011i
\(181\) −1.06703 + 3.28398i −0.0793117 + 0.244096i −0.982849 0.184414i \(-0.940961\pi\)
0.903537 + 0.428510i \(0.140961\pi\)
\(182\) −0.220068 + 0.677299i −0.0163125 + 0.0502048i
\(183\) −0.820205 + 0.595914i −0.0606313 + 0.0440512i
\(184\) −1.69232 1.22954i −0.124760 0.0906432i
\(185\) 8.47396 + 26.0802i 0.623018 + 1.91745i
\(186\) −0.273726 −0.0200706
\(187\) 9.24767 22.1455i 0.676257 1.61944i
\(188\) 1.96711 0.143466
\(189\) −0.396223 1.21945i −0.0288210 0.0887019i
\(190\) 2.48928 + 1.80857i 0.180591 + 0.131207i
\(191\) −17.2497 + 12.5327i −1.24815 + 0.906832i −0.998113 0.0614054i \(-0.980442\pi\)
−0.250034 + 0.968237i \(0.580442\pi\)
\(192\) 0.0490505 0.150962i 0.00353991 0.0108947i
\(193\) 7.24713 22.3044i 0.521660 1.60550i −0.249168 0.968460i \(-0.580157\pi\)
0.770828 0.637044i \(-0.219843\pi\)
\(194\) 8.44782 6.13770i 0.606518 0.440661i
\(195\) 0.208131 + 0.151216i 0.0149045 + 0.0108288i
\(196\) −1.59828 4.91899i −0.114163 0.351356i
\(197\) −7.79605 −0.555445 −0.277723 0.960661i \(-0.589580\pi\)
−0.277723 + 0.960661i \(0.589580\pi\)
\(198\) 8.42720 5.13093i 0.598895 0.364639i
\(199\) −9.48281 −0.672219 −0.336109 0.941823i \(-0.609111\pi\)
−0.336109 + 0.941823i \(0.609111\pi\)
\(200\) 1.38051 + 4.24877i 0.0976166 + 0.300433i
\(201\) 0.130986 + 0.0951666i 0.00923901 + 0.00671254i
\(202\) −13.4358 + 9.76165i −0.945336 + 0.686827i
\(203\) −0.116092 + 0.357294i −0.00814806 + 0.0250771i
\(204\) 0.354926 1.09235i 0.0248498 0.0764797i
\(205\) 20.8441 15.1441i 1.45581 1.05771i
\(206\) 5.10366 + 3.70802i 0.355589 + 0.258350i
\(207\) −1.92294 5.91821i −0.133654 0.411344i
\(208\) −0.526746 −0.0365233
\(209\) 2.51578 + 2.16122i 0.174020 + 0.149495i
\(210\) 0.660313 0.0455659
\(211\) 4.81914 + 14.8318i 0.331763 + 1.02106i 0.968294 + 0.249812i \(0.0803687\pi\)
−0.636531 + 0.771251i \(0.719631\pi\)
\(212\) 1.78552 + 1.29726i 0.122630 + 0.0890960i
\(213\) 0.476917 0.346501i 0.0326778 0.0237418i
\(214\) 4.07899 12.5539i 0.278834 0.858164i
\(215\) 5.99130 18.4393i 0.408603 1.25755i
\(216\) 0.767260 0.557447i 0.0522054 0.0379294i
\(217\) 1.88619 + 1.37040i 0.128043 + 0.0930287i
\(218\) 1.38240 + 4.25460i 0.0936281 + 0.288158i
\(219\) 0.273272 0.0184660
\(220\) 2.35377 + 9.92982i 0.158691 + 0.669468i
\(221\) −3.81150 −0.256389
\(222\) 0.437151 + 1.34541i 0.0293396 + 0.0902981i
\(223\) 19.7704 + 14.3640i 1.32392 + 0.961887i 0.999874 + 0.0158463i \(0.00504425\pi\)
0.324049 + 0.946040i \(0.394956\pi\)
\(224\) −1.09378 + 0.794679i −0.0730813 + 0.0530967i
\(225\) −4.10674 + 12.6392i −0.273783 + 0.842616i
\(226\) −3.88129 + 11.9454i −0.258180 + 0.794595i
\(227\) 18.8116 13.6674i 1.24857 0.907139i 0.250432 0.968134i \(-0.419427\pi\)
0.998138 + 0.0609952i \(0.0194274\pi\)
\(228\) 0.128416 + 0.0932996i 0.00850455 + 0.00617891i
\(229\) −0.600618 1.84851i −0.0396900 0.122153i 0.929248 0.369456i \(-0.120456\pi\)
−0.968938 + 0.247303i \(0.920456\pi\)
\(230\) 6.43637 0.424402
\(231\) 0.709397 + 0.0578834i 0.0466749 + 0.00380845i
\(232\) −0.277873 −0.0182433
\(233\) 1.68804 + 5.19524i 0.110587 + 0.340352i 0.991001 0.133854i \(-0.0427353\pi\)
−0.880414 + 0.474206i \(0.842735\pi\)
\(234\) −1.26770 0.921040i −0.0828723 0.0602103i
\(235\) −4.89669 + 3.55765i −0.319425 + 0.232076i
\(236\) 2.69554 8.29602i 0.175465 0.540025i
\(237\) 0.369557 1.13738i 0.0240053 0.0738808i
\(238\) −7.91452 + 5.75024i −0.513022 + 0.372732i
\(239\) 13.0723 + 9.49758i 0.845577 + 0.614347i 0.923923 0.382579i \(-0.124964\pi\)
−0.0783463 + 0.996926i \(0.524964\pi\)
\(240\) 0.150924 + 0.464497i 0.00974212 + 0.0299832i
\(241\) −17.9215 −1.15442 −0.577212 0.816594i \(-0.695859\pi\)
−0.577212 + 0.816594i \(0.695859\pi\)
\(242\) 1.65828 + 10.8743i 0.106598 + 0.699026i
\(243\) 4.23784 0.271857
\(244\) 1.97372 + 6.07450i 0.126355 + 0.388880i
\(245\) 12.8749 + 9.35414i 0.822545 + 0.597614i
\(246\) 1.07530 0.781248i 0.0685583 0.0498106i
\(247\) 0.162774 0.500965i 0.0103570 0.0318757i
\(248\) −0.532890 + 1.64007i −0.0338386 + 0.104144i
\(249\) −0.834309 + 0.606161i −0.0528722 + 0.0384139i
\(250\) 1.32575 + 0.963213i 0.0838477 + 0.0609189i
\(251\) 8.32956 + 25.6357i 0.525757 + 1.61811i 0.762814 + 0.646618i \(0.223817\pi\)
−0.237057 + 0.971496i \(0.576183\pi\)
\(252\) −4.02190 −0.253356
\(253\) 6.91482 + 0.564217i 0.434731 + 0.0354720i
\(254\) −16.4582 −1.03268
\(255\) 1.09208 + 3.36107i 0.0683885 + 0.210478i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 17.9850 13.0669i 1.12188 0.815090i 0.137383 0.990518i \(-0.456131\pi\)
0.984492 + 0.175428i \(0.0561309\pi\)
\(258\) 0.309077 0.951240i 0.0192423 0.0592216i
\(259\) 3.72343 11.4595i 0.231363 0.712061i
\(260\) 1.31122 0.952655i 0.0813183 0.0590812i
\(261\) −0.668749 0.485874i −0.0413945 0.0300749i
\(262\) 4.68379 + 14.4152i 0.289366 + 0.890576i
\(263\) −0.840832 −0.0518479 −0.0259240 0.999664i \(-0.508253\pi\)
−0.0259240 + 0.999664i \(0.508253\pi\)
\(264\) 0.121425 + 0.512256i 0.00747320 + 0.0315271i
\(265\) −6.79084 −0.417158
\(266\) −0.417787 1.28582i −0.0256162 0.0788385i
\(267\) 1.32933 + 0.965814i 0.0813536 + 0.0591069i
\(268\) 0.825206 0.599548i 0.0504075 0.0366232i
\(269\) 8.22851 25.3248i 0.501701 1.54408i −0.304545 0.952498i \(-0.598504\pi\)
0.806246 0.591580i \(-0.201496\pi\)
\(270\) −0.901743 + 2.77528i −0.0548783 + 0.168898i
\(271\) 20.5335 14.9185i 1.24732 0.906234i 0.249260 0.968436i \(-0.419812\pi\)
0.998064 + 0.0622026i \(0.0198125\pi\)
\(272\) −5.85399 4.25317i −0.354950 0.257886i
\(273\) −0.0349315 0.107508i −0.00211415 0.00650669i
\(274\) −5.46038 −0.329874
\(275\) −11.2390 9.65506i −0.677739 0.582222i
\(276\) 0.332037 0.0199863
\(277\) −9.32650 28.7040i −0.560375 1.72466i −0.681308 0.731997i \(-0.738589\pi\)
0.120933 0.992661i \(-0.461411\pi\)
\(278\) 7.46676 + 5.42492i 0.447827 + 0.325365i
\(279\) −4.15022 + 3.01531i −0.248467 + 0.180522i
\(280\) 1.28550 3.95635i 0.0768231 0.236437i
\(281\) 5.19980 16.0033i 0.310194 0.954679i −0.667494 0.744615i \(-0.732633\pi\)
0.977688 0.210063i \(-0.0673670\pi\)
\(282\) −0.252608 + 0.183531i −0.0150426 + 0.0109291i
\(283\) 8.44637 + 6.13665i 0.502085 + 0.364786i 0.809813 0.586688i \(-0.199569\pi\)
−0.307728 + 0.951474i \(0.599569\pi\)
\(284\) −1.14764 3.53208i −0.0681001 0.209590i
\(285\) −0.488401 −0.0289304
\(286\) 1.49220 0.908529i 0.0882355 0.0537224i
\(287\) −11.3209 −0.668253
\(288\) −0.919265 2.82921i −0.0541682 0.166713i
\(289\) −28.6057 20.7833i −1.68269 1.22255i
\(290\) 0.691704 0.502552i 0.0406183 0.0295109i
\(291\) −0.512189 + 1.57635i −0.0300250 + 0.0924076i
\(292\) 0.532006 1.63735i 0.0311333 0.0958185i
\(293\) −10.8426 + 7.87761i −0.633432 + 0.460215i −0.857587 0.514338i \(-0.828038\pi\)
0.224156 + 0.974553i \(0.428038\pi\)
\(294\) 0.664183 + 0.482557i 0.0387359 + 0.0281433i
\(295\) 8.29395 + 25.5262i 0.482892 + 1.48619i
\(296\) 8.91226 0.518015
\(297\) −1.21206 + 2.90253i −0.0703307 + 0.168422i
\(298\) −12.3302 −0.714270
\(299\) −0.340494 1.04793i −0.0196913 0.0606035i
\(300\) −0.573687 0.416808i −0.0331218 0.0240644i
\(301\) −6.89213 + 5.00742i −0.397256 + 0.288623i
\(302\) 1.12315 3.45670i 0.0646300 0.198911i
\(303\) 0.814606 2.50710i 0.0467979 0.144029i
\(304\) 0.809017 0.587785i 0.0464003 0.0337118i
\(305\) −15.8993 11.5515i −0.910390 0.661437i
\(306\) −6.65173 20.4719i −0.380254 1.17030i
\(307\) −18.9800 −1.08325 −0.541623 0.840622i \(-0.682190\pi\)
−0.541623 + 0.840622i \(0.682190\pi\)
\(308\) 1.72787 4.13776i 0.0984545 0.235771i
\(309\) −1.00135 −0.0569646
\(310\) −1.63966 5.04635i −0.0931264 0.286614i
\(311\) −10.0930 7.33301i −0.572323 0.415817i 0.263626 0.964625i \(-0.415082\pi\)
−0.835948 + 0.548808i \(0.815082\pi\)
\(312\) 0.0676426 0.0491452i 0.00382951 0.00278230i
\(313\) −5.64703 + 17.3798i −0.319189 + 0.982364i 0.654806 + 0.755797i \(0.272750\pi\)
−0.973996 + 0.226567i \(0.927250\pi\)
\(314\) −0.269323 + 0.828892i −0.0151988 + 0.0467771i
\(315\) 10.0116 7.27387i 0.564091 0.409836i
\(316\) −6.09532 4.42851i −0.342888 0.249123i
\(317\) −4.07378 12.5378i −0.228806 0.704193i −0.997883 0.0650364i \(-0.979284\pi\)
0.769077 0.639156i \(-0.220716\pi\)
\(318\) −0.350323 −0.0196451
\(319\) 0.787176 0.479274i 0.0440734 0.0268342i
\(320\) 3.07692 0.172005
\(321\) 0.647462 + 1.99268i 0.0361378 + 0.111221i
\(322\) −2.28800 1.66233i −0.127505 0.0926380i
\(323\) 5.85399 4.25317i 0.325725 0.236653i
\(324\) 2.71128 8.34445i 0.150626 0.463581i
\(325\) −0.727177 + 2.23802i −0.0403365 + 0.124143i
\(326\) 6.25832 4.54694i 0.346616 0.251832i
\(327\) −0.574475 0.417380i −0.0317685 0.0230812i
\(328\) −2.58757 7.96371i −0.142875 0.439723i
\(329\) 2.65951 0.146624
\(330\) −1.22871 1.05554i −0.0676382 0.0581056i
\(331\) 3.69222 0.202943 0.101471 0.994838i \(-0.467645\pi\)
0.101471 + 0.994838i \(0.467645\pi\)
\(332\) 2.00766 + 6.17895i 0.110185 + 0.339114i
\(333\) 21.4489 + 15.5835i 1.17539 + 0.853971i
\(334\) −17.6596 + 12.8304i −0.966288 + 0.702049i
\(335\) −0.969847 + 2.98488i −0.0529884 + 0.163081i
\(336\) 0.0663157 0.204099i 0.00361782 0.0111345i
\(337\) −21.2757 + 15.4577i −1.15896 + 0.842036i −0.989647 0.143525i \(-0.954156\pi\)
−0.169317 + 0.985562i \(0.554156\pi\)
\(338\) 10.2927 + 7.47812i 0.559852 + 0.406756i
\(339\) −0.616080 1.89610i −0.0334609 0.102982i
\(340\) 22.2643 1.20745
\(341\) −1.31918 5.56520i −0.0714374 0.301373i
\(342\) 2.97480 0.160859
\(343\) −5.08536 15.6511i −0.274584 0.845082i
\(344\) −5.09777 3.70375i −0.274853 0.199693i
\(345\) −0.826532 + 0.600511i −0.0444990 + 0.0323304i
\(346\) −3.40232 + 10.4713i −0.182910 + 0.562939i
\(347\) −1.64812 + 5.07239i −0.0884757 + 0.272300i −0.985499 0.169684i \(-0.945725\pi\)
0.897023 + 0.441984i \(0.145725\pi\)
\(348\) 0.0356833 0.0259255i 0.00191283 0.00138975i
\(349\) −15.7313 11.4295i −0.842078 0.611806i 0.0808722 0.996724i \(-0.474229\pi\)
−0.922950 + 0.384919i \(0.874229\pi\)
\(350\) 1.86643 + 5.74428i 0.0997649 + 0.307045i
\(351\) 0.499558 0.0266644
\(352\) 3.30564 + 0.269725i 0.176191 + 0.0143764i
\(353\) −27.8728 −1.48352 −0.741761 0.670665i \(-0.766009\pi\)
−0.741761 + 0.670665i \(0.766009\pi\)
\(354\) 0.427865 + 1.31683i 0.0227408 + 0.0699889i
\(355\) 9.24480 + 6.71674i 0.490663 + 0.356488i
\(356\) 8.37475 6.08461i 0.443861 0.322484i
\(357\) 0.479855 1.47684i 0.0253966 0.0781628i
\(358\) −3.87900 + 11.9383i −0.205011 + 0.630960i
\(359\) −28.9092 + 21.0038i −1.52577 + 1.10854i −0.567237 + 0.823555i \(0.691988\pi\)
−0.958533 + 0.284982i \(0.908012\pi\)
\(360\) 7.40512 + 5.38013i 0.390284 + 0.283558i
\(361\) 0.309017 + 0.951057i 0.0162641 + 0.0500556i
\(362\) −3.45298 −0.181485
\(363\) −1.22752 1.24171i −0.0644278 0.0651731i
\(364\) −0.712155 −0.0373270
\(365\) 1.63694 + 5.03798i 0.0856813 + 0.263700i
\(366\) −0.820205 0.595914i −0.0428728 0.0311489i
\(367\) −30.5927 + 22.2269i −1.59693 + 1.16024i −0.703836 + 0.710363i \(0.748531\pi\)
−0.893092 + 0.449873i \(0.851469\pi\)
\(368\) 0.646410 1.98944i 0.0336964 0.103707i
\(369\) 7.69751 23.6905i 0.400716 1.23328i
\(370\) −22.1851 + 16.1184i −1.15335 + 0.837957i
\(371\) 2.41400 + 1.75388i 0.125329 + 0.0910567i
\(372\) −0.0845860 0.260329i −0.00438558 0.0134974i
\(373\) −20.1806 −1.04491 −0.522456 0.852667i \(-0.674984\pi\)
−0.522456 + 0.852667i \(0.674984\pi\)
\(374\) 23.9194 + 1.95171i 1.23684 + 0.100920i
\(375\) −0.260114 −0.0134322
\(376\) 0.607871 + 1.87083i 0.0313486 + 0.0964809i
\(377\) −0.118415 0.0860334i −0.00609867 0.00443095i
\(378\) 1.03733 0.753661i 0.0533543 0.0387642i
\(379\) −10.1095 + 31.1140i −0.519293 + 1.59822i 0.256041 + 0.966666i \(0.417582\pi\)
−0.775333 + 0.631552i \(0.782418\pi\)
\(380\) −0.950820 + 2.92632i −0.0487760 + 0.150117i
\(381\) 2.11349 1.53554i 0.108277 0.0786680i
\(382\) −17.2497 12.5327i −0.882573 0.641227i
\(383\) −7.93607 24.4247i −0.405514 1.24805i −0.920465 0.390825i \(-0.872190\pi\)
0.514950 0.857220i \(-0.327810\pi\)
\(384\) 0.158731 0.00810019
\(385\) 3.18226 + 13.4250i 0.162183 + 0.684201i
\(386\) 23.4522 1.19369
\(387\) −5.79247 17.8274i −0.294448 0.906217i
\(388\) 8.44782 + 6.13770i 0.428873 + 0.311594i
\(389\) 3.61505 2.62649i 0.183290 0.133168i −0.492357 0.870394i \(-0.663864\pi\)
0.675647 + 0.737225i \(0.263864\pi\)
\(390\) −0.0794988 + 0.244672i −0.00402558 + 0.0123895i
\(391\) 4.67737 14.3955i 0.236545 0.728010i
\(392\) 4.18434 3.04010i 0.211341 0.153548i
\(393\) −1.94641 1.41415i −0.0981833 0.0713344i
\(394\) −2.40911 7.41448i −0.121369 0.373536i
\(395\) 23.1822 1.16642
\(396\) 7.48395 + 6.42920i 0.376083 + 0.323079i
\(397\) 28.8810 1.44950 0.724748 0.689014i \(-0.241956\pi\)
0.724748 + 0.689014i \(0.241956\pi\)
\(398\) −2.93035 9.01869i −0.146885 0.452066i
\(399\) 0.173617 + 0.126140i 0.00869171 + 0.00631489i
\(400\) −3.61422 + 2.62588i −0.180711 + 0.131294i
\(401\) 0.246422 0.758410i 0.0123057 0.0378732i −0.944715 0.327892i \(-0.893662\pi\)
0.957021 + 0.290019i \(0.0936617\pi\)
\(402\) −0.0500320 + 0.153983i −0.00249537 + 0.00767996i
\(403\) −0.734877 + 0.533919i −0.0366068 + 0.0265964i
\(404\) −13.4358 9.76165i −0.668454 0.485660i
\(405\) 8.34237 + 25.6752i 0.414536 + 1.27581i
\(406\) −0.375681 −0.0186448
\(407\) −25.2472 + 15.3718i −1.25146 + 0.761953i
\(408\) 1.14856 0.0568624
\(409\) 7.02210 + 21.6118i 0.347220 + 1.06863i 0.960384 + 0.278679i \(0.0898965\pi\)
−0.613164 + 0.789956i \(0.710103\pi\)
\(410\) 20.8441 + 15.1441i 1.02942 + 0.747914i
\(411\) 0.701200 0.509451i 0.0345876 0.0251294i
\(412\) −1.94942 + 5.99971i −0.0960412 + 0.295584i
\(413\) 3.64434 11.2161i 0.179326 0.551909i
\(414\) 5.03433 3.65765i 0.247424 0.179764i
\(415\) −16.1727 11.7501i −0.793885 0.576791i
\(416\) −0.162774 0.500965i −0.00798063 0.0245619i
\(417\) −1.46499 −0.0717410
\(418\) −1.27802 + 3.06050i −0.0625101 + 0.149694i
\(419\) −0.427754 −0.0208971 −0.0104486 0.999945i \(-0.503326\pi\)
−0.0104486 + 0.999945i \(0.503326\pi\)
\(420\) 0.204048 + 0.627995i 0.00995651 + 0.0306430i
\(421\) 7.84525 + 5.69990i 0.382354 + 0.277796i 0.762315 0.647206i \(-0.224063\pi\)
−0.379961 + 0.925002i \(0.624063\pi\)
\(422\) −12.6167 + 9.16655i −0.614170 + 0.446221i
\(423\) −1.80830 + 5.56537i −0.0879224 + 0.270597i
\(424\) −0.682009 + 2.09901i −0.0331213 + 0.101937i
\(425\) −26.1522 + 19.0007i −1.26857 + 0.921669i
\(426\) 0.476917 + 0.346501i 0.0231067 + 0.0167880i
\(427\) 2.66845 + 8.21265i 0.129135 + 0.397438i
\(428\) 13.1999 0.638041
\(429\) −0.106856 + 0.255891i −0.00515908 + 0.0123545i
\(430\) 19.3882 0.934984
\(431\) −2.07150 6.37543i −0.0997808 0.307094i 0.888689 0.458510i \(-0.151617\pi\)
−0.988470 + 0.151416i \(0.951617\pi\)
\(432\) 0.767260 + 0.557447i 0.0369148 + 0.0268202i
\(433\) 12.4405 9.03858i 0.597854 0.434366i −0.247262 0.968949i \(-0.579531\pi\)
0.845117 + 0.534582i \(0.179531\pi\)
\(434\) −0.720461 + 2.21735i −0.0345832 + 0.106436i
\(435\) −0.0419378 + 0.129071i −0.00201077 + 0.00618850i
\(436\) −3.61918 + 2.62949i −0.173327 + 0.125930i
\(437\) 1.69232 + 1.22954i 0.0809548 + 0.0588171i
\(438\) 0.0844458 + 0.259897i 0.00403497 + 0.0124184i
\(439\) −2.15073 −0.102649 −0.0513244 0.998682i \(-0.516344\pi\)
−0.0513244 + 0.998682i \(0.516344\pi\)
\(440\) −8.71647 + 5.30705i −0.415541 + 0.253004i
\(441\) 15.3861 0.732670
\(442\) −1.17782 3.62495i −0.0560231 0.172421i
\(443\) −24.5813 17.8593i −1.16789 0.848523i −0.177137 0.984186i \(-0.556683\pi\)
−0.990755 + 0.135663i \(0.956683\pi\)
\(444\) −1.14448 + 0.831510i −0.0543144 + 0.0394617i
\(445\) −9.84265 + 30.2926i −0.466586 + 1.43601i
\(446\) −7.55162 + 23.2415i −0.357579 + 1.10052i
\(447\) 1.58339 1.15040i 0.0748919 0.0544122i
\(448\) −1.09378 0.794679i −0.0516763 0.0375450i
\(449\) 1.03260 + 3.17801i 0.0487313 + 0.149979i 0.972461 0.233065i \(-0.0748756\pi\)
−0.923730 + 0.383045i \(0.874876\pi\)
\(450\) −13.2897 −0.626482
\(451\) 21.0660 + 18.0971i 0.991958 + 0.852157i
\(452\) −12.5601 −0.590778
\(453\) 0.178278 + 0.548684i 0.00837625 + 0.0257794i
\(454\) 18.8116 + 13.6674i 0.882872 + 0.641444i
\(455\) 1.77275 1.28798i 0.0831078 0.0603814i
\(456\) −0.0490505 + 0.150962i −0.00229700 + 0.00706944i
\(457\) 9.08138 27.9496i 0.424809 1.30743i −0.478368 0.878160i \(-0.658771\pi\)
0.903177 0.429269i \(-0.141229\pi\)
\(458\) 1.57244 1.14244i 0.0734752 0.0533829i
\(459\) 5.55183 + 4.03364i 0.259137 + 0.188274i
\(460\) 1.98895 + 6.12135i 0.0927352 + 0.285410i
\(461\) −1.74308 −0.0811833 −0.0405917 0.999176i \(-0.512924\pi\)
−0.0405917 + 0.999176i \(0.512924\pi\)
\(462\) 0.164165 + 0.692563i 0.00763766 + 0.0322210i
\(463\) −31.2015 −1.45006 −0.725029 0.688718i \(-0.758174\pi\)
−0.725029 + 0.688718i \(0.758174\pi\)
\(464\) −0.0858676 0.264273i −0.00398630 0.0122686i
\(465\) 0.681381 + 0.495052i 0.0315983 + 0.0229575i
\(466\) −4.41934 + 3.21084i −0.204722 + 0.148739i
\(467\) 8.05709 24.7972i 0.372838 1.14748i −0.572088 0.820192i \(-0.693867\pi\)
0.944926 0.327284i \(-0.106133\pi\)
\(468\) 0.484219 1.49027i 0.0223831 0.0688880i
\(469\) 1.11567 0.810581i 0.0515168 0.0374292i
\(470\) −4.89669 3.55765i −0.225867 0.164102i
\(471\) −0.0427499 0.131571i −0.00196981 0.00606246i
\(472\) 8.72295 0.401506
\(473\) 20.8295 + 1.69959i 0.957740 + 0.0781470i
\(474\) 1.19591 0.0549301
\(475\) −1.38051 4.24877i −0.0633420 0.194947i
\(476\) −7.91452 5.75024i −0.362761 0.263562i
\(477\) −5.31158 + 3.85909i −0.243200 + 0.176695i
\(478\) −4.99317 + 15.3674i −0.228382 + 0.702889i
\(479\) −9.08342 + 27.9559i −0.415032 + 1.27734i 0.497190 + 0.867642i \(0.334365\pi\)
−0.912222 + 0.409696i \(0.865635\pi\)
\(480\) −0.395125 + 0.287075i −0.0180349 + 0.0131031i
\(481\) 3.79793 + 2.75936i 0.173171 + 0.125816i
\(482\) −5.53804 17.0443i −0.252251 0.776349i
\(483\) 0.448910 0.0204261
\(484\) −9.82963 + 4.93746i −0.446801 + 0.224430i
\(485\) −32.1294 −1.45892
\(486\) 1.30956 + 4.03042i 0.0594030 + 0.182824i
\(487\) −34.8621 25.3288i −1.57975 1.14776i −0.916980 0.398934i \(-0.869380\pi\)
−0.662771 0.748822i \(-0.730620\pi\)
\(488\) −5.16727 + 3.75424i −0.233912 + 0.169947i
\(489\) −0.379440 + 1.16780i −0.0171589 + 0.0528096i
\(490\) −4.91776 + 15.1353i −0.222162 + 0.683744i
\(491\) 23.8984 17.3632i 1.07852 0.783591i 0.101097 0.994877i \(-0.467765\pi\)
0.977424 + 0.211285i \(0.0677649\pi\)
\(492\) 1.07530 + 0.781248i 0.0484781 + 0.0352214i
\(493\) −0.621332 1.91226i −0.0279834 0.0861239i
\(494\) 0.526746 0.0236994
\(495\) −30.2573 2.46885i −1.35996 0.110967i
\(496\) −1.72447 −0.0774309
\(497\) −1.55160 4.77533i −0.0695987 0.214203i
\(498\) −0.834309 0.606161i −0.0373863 0.0271627i
\(499\) 22.5647 16.3942i 1.01013 0.733905i 0.0458967 0.998946i \(-0.485385\pi\)
0.964237 + 0.265041i \(0.0853855\pi\)
\(500\) −0.506391 + 1.55851i −0.0226465 + 0.0696987i
\(501\) 1.07069 3.29526i 0.0478351 0.147221i
\(502\) −21.8071 + 15.8438i −0.973297 + 0.707142i
\(503\) −0.0392283 0.0285010i −0.00174910 0.00127080i 0.586910 0.809652i \(-0.300344\pi\)
−0.588659 + 0.808381i \(0.700344\pi\)
\(504\) −1.24284 3.82505i −0.0553603 0.170381i
\(505\) 51.0999 2.27392
\(506\) 1.60020 + 6.75074i 0.0711373 + 0.300107i
\(507\) −2.01946 −0.0896873
\(508\) −5.08585 15.6526i −0.225648 0.694473i
\(509\) −7.89027 5.73262i −0.349730 0.254094i 0.399026 0.916940i \(-0.369348\pi\)
−0.748756 + 0.662846i \(0.769348\pi\)
\(510\) −2.85909 + 2.07725i −0.126603 + 0.0919823i
\(511\) 0.719266 2.21367i 0.0318185 0.0979272i
\(512\) 0.309017 0.951057i 0.0136568 0.0420312i
\(513\) −0.767260 + 0.557447i −0.0338753 + 0.0246119i
\(514\) 17.9850 + 13.0669i 0.793286 + 0.576356i
\(515\) −5.99821 18.4606i −0.264313 0.813471i
\(516\) 1.00019 0.0440310
\(517\) −4.94882 4.25136i −0.217649 0.186974i
\(518\) 12.0493 0.529415
\(519\) −0.540053 1.66211i −0.0237057 0.0729587i
\(520\) 1.31122 + 0.952655i 0.0575007 + 0.0417767i
\(521\) 32.6905 23.7511i 1.43220 1.04055i 0.442596 0.896721i \(-0.354058\pi\)
0.989602 0.143831i \(-0.0459423\pi\)
\(522\) 0.255439 0.786161i 0.0111803 0.0344093i
\(523\) 7.03688 21.6573i 0.307701 0.947007i −0.670954 0.741499i \(-0.734115\pi\)
0.978655 0.205508i \(-0.0658846\pi\)
\(524\) −12.2623 + 8.90910i −0.535682 + 0.389196i
\(525\) −0.775618 0.563519i −0.0338507 0.0245940i
\(526\) −0.259831 0.799678i −0.0113292 0.0348676i
\(527\) −12.4781 −0.543556
\(528\) −0.449662 + 0.273778i −0.0195690 + 0.0119146i
\(529\) −18.6243 −0.809751
\(530\) −2.09848 6.45847i −0.0911523 0.280538i
\(531\) 20.9932 + 15.2525i 0.911029 + 0.661901i
\(532\) 1.09378 0.794679i 0.0474214 0.0344537i
\(533\) 1.36299 4.19486i 0.0590377 0.181699i
\(534\) −0.507759 + 1.56272i −0.0219729 + 0.0676255i
\(535\) −32.8582 + 23.8729i −1.42058 + 1.03212i
\(536\) 0.825206 + 0.599548i 0.0356435 + 0.0258965i
\(537\) −0.615716 1.89498i −0.0265701 0.0817744i
\(538\) 26.6280 1.14802
\(539\) −6.61009 + 15.8293i −0.284717 + 0.681816i
\(540\) −2.91810 −0.125575
\(541\) −2.29152 7.05258i −0.0985202 0.303214i 0.889635 0.456672i \(-0.150959\pi\)
−0.988155 + 0.153459i \(0.950959\pi\)
\(542\) 20.5335 + 14.9185i 0.881991 + 0.640804i
\(543\) 0.443417 0.322162i 0.0190289 0.0138253i
\(544\) 2.23602 6.88177i 0.0958687 0.295054i
\(545\) 4.25354 13.0910i 0.182202 0.560759i
\(546\) 0.0914519 0.0664437i 0.00391378 0.00284353i
\(547\) −1.95709 1.42191i −0.0836793 0.0607966i 0.545159 0.838333i \(-0.316469\pi\)
−0.628838 + 0.777536i \(0.716469\pi\)
\(548\) −1.68735 5.19313i −0.0720801 0.221840i
\(549\) −19.0004 −0.810917
\(550\) 5.70946 13.6725i 0.243452 0.582999i
\(551\) 0.277873 0.0118378
\(552\) 0.102605 + 0.315786i 0.00436716 + 0.0134407i
\(553\) −8.24080 5.98729i −0.350434 0.254605i
\(554\) 24.4171 17.7401i 1.03738 0.753703i
\(555\) 1.34508 4.13972i 0.0570953 0.175721i
\(556\) −2.85205 + 8.77771i −0.120954 + 0.372258i
\(557\) −0.333458 + 0.242271i −0.0141291 + 0.0102654i −0.594827 0.803853i \(-0.702780\pi\)
0.580698 + 0.814119i \(0.302780\pi\)
\(558\) −4.15022 3.01531i −0.175693 0.127648i
\(559\) −1.02567 3.15668i −0.0433811 0.133513i
\(560\) 4.15995 0.175790
\(561\) −3.25372 + 1.98104i −0.137372 + 0.0836394i
\(562\) 16.8269 0.709800
\(563\) 1.38762 + 4.27067i 0.0584814 + 0.179987i 0.976030 0.217637i \(-0.0698348\pi\)
−0.917548 + 0.397624i \(0.869835\pi\)
\(564\) −0.252608 0.183531i −0.0106367 0.00772804i
\(565\) 31.2656 22.7158i 1.31535 0.955661i
\(566\) −3.22623 + 9.92931i −0.135608 + 0.417360i
\(567\) 3.66561 11.2816i 0.153941 0.473783i
\(568\) 3.00457 2.18295i 0.126069 0.0915944i
\(569\) 26.3998 + 19.1806i 1.10674 + 0.804091i 0.982146 0.188118i \(-0.0602387\pi\)
0.124589 + 0.992208i \(0.460239\pi\)
\(570\) −0.150924 0.464497i −0.00632152 0.0194556i
\(571\) 18.1484 0.759486 0.379743 0.925092i \(-0.376012\pi\)
0.379743 + 0.925092i \(0.376012\pi\)
\(572\) 1.32518 + 1.13841i 0.0554084 + 0.0475994i
\(573\) 3.38443 0.141387
\(574\) −3.49836 10.7668i −0.146019 0.449399i
\(575\) −7.56031 5.49289i −0.315287 0.229069i
\(576\) 2.40667 1.74855i 0.100278 0.0728561i
\(577\) −6.77358 + 20.8469i −0.281988 + 0.867870i 0.705297 + 0.708912i \(0.250814\pi\)
−0.987285 + 0.158958i \(0.949186\pi\)
\(578\) 10.9264 33.6280i 0.454479 1.39874i
\(579\) −3.01164 + 2.18808i −0.125159 + 0.0909335i
\(580\) 0.691704 + 0.502552i 0.0287214 + 0.0208674i
\(581\) 2.71433 + 8.35386i 0.112610 + 0.346577i
\(582\) −1.65748 −0.0687047
\(583\) −1.68832 7.12251i −0.0699231 0.294984i
\(584\) 1.72161 0.0712407
\(585\) 1.48990 + 4.58545i 0.0615999 + 0.189585i
\(586\) −10.8426 7.87761i −0.447904 0.325421i
\(587\) −13.6928 + 9.94843i −0.565164 + 0.410616i −0.833345 0.552753i \(-0.813577\pi\)
0.268181 + 0.963368i \(0.413577\pi\)
\(588\) −0.253695 + 0.780794i −0.0104622 + 0.0321994i
\(589\) 0.532890 1.64007i 0.0219574 0.0675778i
\(590\) −21.7138 + 15.7760i −0.893945 + 0.649489i
\(591\) 1.00114 + 0.727368i 0.0411812 + 0.0299199i
\(592\) 2.75404 + 8.47607i 0.113190 + 0.348364i
\(593\) 9.83301 0.403793 0.201897 0.979407i \(-0.435290\pi\)
0.201897 + 0.979407i \(0.435290\pi\)
\(594\) −3.13502 0.255803i −0.128631 0.0104957i
\(595\) 30.1011 1.23403
\(596\) −3.81024 11.7267i −0.156074 0.480345i
\(597\) 1.21774 + 0.884742i 0.0498389 + 0.0362101i
\(598\) 0.891425 0.647658i 0.0364531 0.0264847i
\(599\) 13.3537 41.0985i 0.545618 1.67924i −0.173896 0.984764i \(-0.555636\pi\)
0.719515 0.694477i \(-0.244364\pi\)
\(600\) 0.219129 0.674410i 0.00894590 0.0275327i
\(601\) 5.34288 3.88183i 0.217941 0.158343i −0.473459 0.880816i \(-0.656995\pi\)
0.691399 + 0.722473i \(0.256995\pi\)
\(602\) −6.89213 5.00742i −0.280902 0.204087i
\(603\) 0.937661 + 2.88582i 0.0381845 + 0.117520i
\(604\) 3.63459 0.147889
\(605\) 15.5390 30.0682i 0.631748 1.22245i
\(606\) 2.63612 0.107085
\(607\) 6.07820 + 18.7068i 0.246707 + 0.759285i 0.995351 + 0.0963130i \(0.0307050\pi\)
−0.748645 + 0.662972i \(0.769295\pi\)
\(608\) 0.809017 + 0.587785i 0.0328100 + 0.0238378i
\(609\) 0.0482435 0.0350509i 0.00195492 0.00142033i
\(610\) 6.07298 18.6907i 0.245888 0.756765i
\(611\) −0.320194 + 0.985455i −0.0129537 + 0.0398672i
\(612\) 17.4145 12.6524i 0.703938 0.511441i
\(613\) 1.25872 + 0.914512i 0.0508392 + 0.0369368i 0.612915 0.790149i \(-0.289997\pi\)
−0.562075 + 0.827086i \(0.689997\pi\)
\(614\) −5.86514 18.0510i −0.236698 0.728481i
\(615\) −4.08965 −0.164911
\(616\) 4.46918 + 0.364664i 0.180069 + 0.0146927i
\(617\) −43.2521 −1.74126 −0.870632 0.491935i \(-0.836290\pi\)
−0.870632 + 0.491935i \(0.836290\pi\)
\(618\) −0.309433 0.952338i −0.0124472 0.0383086i
\(619\) −2.64523 1.92188i −0.106321 0.0772467i 0.533354 0.845892i \(-0.320931\pi\)
−0.639675 + 0.768645i \(0.720931\pi\)
\(620\) 4.29268 3.11882i 0.172398 0.125255i
\(621\) −0.613045 + 1.88676i −0.0246007 + 0.0757130i
\(622\) 3.85519 11.8651i 0.154579 0.475745i
\(623\) 11.3226 8.22632i 0.453629 0.329581i
\(624\) 0.0676426 + 0.0491452i 0.00270787 + 0.00196738i
\(625\) −8.46066 26.0392i −0.338426 1.04157i
\(626\) −18.2742 −0.730383
\(627\) −0.121425 0.512256i −0.00484925 0.0204575i
\(628\) −0.871549 −0.0347786
\(629\) 19.9280 + 61.3322i 0.794583 + 2.44547i
\(630\) 10.0116 + 7.27387i 0.398873 + 0.289798i
\(631\) −22.3797 + 16.2598i −0.890922 + 0.647293i −0.936118 0.351686i \(-0.885609\pi\)
0.0451964 + 0.998978i \(0.485609\pi\)
\(632\) 2.32820 7.16548i 0.0926110 0.285027i
\(633\) 0.764946 2.35426i 0.0304039 0.0935735i
\(634\) 10.6653 7.74878i 0.423573 0.307744i
\(635\) 40.9689 + 29.7657i 1.62580 + 1.18121i
\(636\) −0.108256 0.333177i −0.00429262 0.0132113i
\(637\) 2.72440 0.107945
\(638\) 0.699068 + 0.600545i 0.0276764 + 0.0237758i
\(639\) 11.0480 0.437051
\(640\) 0.950820 + 2.92632i 0.0375844 + 0.115673i
\(641\) 32.4824 + 23.5998i 1.28298 + 0.932138i 0.999639 0.0268823i \(-0.00855792\pi\)
0.283339 + 0.959020i \(0.408558\pi\)
\(642\) −1.69508 + 1.23155i −0.0668993 + 0.0486052i
\(643\) −9.08177 + 27.9508i −0.358150 + 1.10227i 0.596010 + 0.802977i \(0.296752\pi\)
−0.954160 + 0.299296i \(0.903248\pi\)
\(644\) 0.873938 2.68971i 0.0344380 0.105989i
\(645\) −2.48976 + 1.80891i −0.0980341 + 0.0712259i
\(646\) 5.85399 + 4.25317i 0.230322 + 0.167339i
\(647\) 1.12215 + 3.45362i 0.0441162 + 0.135776i 0.970689 0.240341i \(-0.0772592\pi\)
−0.926572 + 0.376117i \(0.877259\pi\)
\(648\) 8.77388 0.344670
\(649\) −24.7109 + 15.0453i −0.969987 + 0.590579i
\(650\) −2.35319 −0.0922999
\(651\) −0.114359 0.351962i −0.00448210 0.0137945i
\(652\) 6.25832 + 4.54694i 0.245095 + 0.178072i
\(653\) 20.9597 15.2281i 0.820216 0.595922i −0.0965583 0.995327i \(-0.530783\pi\)
0.916774 + 0.399405i \(0.130783\pi\)
\(654\) 0.219430 0.675335i 0.00858038 0.0264077i
\(655\) 14.4116 44.3545i 0.563109 1.73307i
\(656\) 6.77434 4.92185i 0.264494 0.192166i
\(657\) 4.14334 + 3.01031i 0.161647 + 0.117444i
\(658\) 0.821834 + 2.52935i 0.0320384 + 0.0986042i
\(659\) −22.9664 −0.894644 −0.447322 0.894373i \(-0.647622\pi\)
−0.447322 + 0.894373i \(0.647622\pi\)
\(660\) 0.624187 1.49475i 0.0242965 0.0581831i
\(661\) 43.4685 1.69073 0.845365 0.534189i \(-0.179383\pi\)
0.845365 + 0.534189i \(0.179383\pi\)
\(662\) 1.14096 + 3.51151i 0.0443446 + 0.136479i
\(663\) 0.489456 + 0.355611i 0.0190089 + 0.0138108i
\(664\) −5.25613 + 3.81880i −0.203977 + 0.148198i
\(665\) −1.28550 + 3.95635i −0.0498494 + 0.153421i
\(666\) −8.19273 + 25.2146i −0.317462 + 0.977048i
\(667\) 0.470251 0.341658i 0.0182082 0.0132290i
\(668\) −17.6596 12.8304i −0.683269 0.496424i
\(669\) −1.19867 3.68914i −0.0463434 0.142630i
\(670\) −3.13849 −0.121250
\(671\) 8.16286 19.5477i 0.315124 0.754632i
\(672\) 0.214602 0.00827845
\(673\) −9.05222 27.8599i −0.348937 1.07392i −0.959442 0.281906i \(-0.909033\pi\)
0.610505 0.792013i \(-0.290967\pi\)
\(674\) −21.2757 15.4577i −0.819511 0.595410i
\(675\) 3.42767 2.49035i 0.131931 0.0958535i
\(676\) −3.93148 + 12.0999i −0.151211 + 0.465379i
\(677\) −12.0513 + 37.0900i −0.463168 + 1.42549i 0.398103 + 0.917341i \(0.369669\pi\)
−0.861272 + 0.508145i \(0.830331\pi\)
\(678\) 1.61292 1.17185i 0.0619437 0.0450048i
\(679\) 11.4213 + 8.29809i 0.438311 + 0.318452i
\(680\) 6.88006 + 21.1746i 0.263838 + 0.812011i
\(681\) −3.69087 −0.141435
\(682\) 4.88518 2.97435i 0.187063 0.113894i
\(683\) −13.6716 −0.523130 −0.261565 0.965186i \(-0.584239\pi\)
−0.261565 + 0.965186i \(0.584239\pi\)
\(684\) 0.919265 + 2.82921i 0.0351490 + 0.108177i
\(685\) 13.5924 + 9.87546i 0.519339 + 0.377322i
\(686\) 13.3136 9.67293i 0.508317 0.369314i
\(687\) −0.0953365 + 0.293416i −0.00363732 + 0.0111945i
\(688\) 1.94718 5.99279i 0.0742354 0.228473i
\(689\) −0.940517 + 0.683326i −0.0358308 + 0.0260326i
\(690\) −0.826532 0.600511i −0.0314655 0.0228611i
\(691\) 2.49096 + 7.66639i 0.0947607 + 0.291643i 0.987191 0.159541i \(-0.0510016\pi\)
−0.892431 + 0.451185i \(0.851002\pi\)
\(692\) −11.0102 −0.418543
\(693\) 10.1182 + 8.69220i 0.384359 + 0.330189i
\(694\) −5.33343 −0.202454
\(695\) −8.77552 27.0083i −0.332874 1.02448i
\(696\) 0.0356833 + 0.0259255i 0.00135257 + 0.000982702i
\(697\) 49.0186 35.6141i 1.85671 1.34898i
\(698\) 6.00883 18.4933i 0.227438 0.699981i
\(699\) 0.267943 0.824644i 0.0101345 0.0311909i
\(700\) −4.88638 + 3.55016i −0.184688 + 0.134183i
\(701\) 8.90452 + 6.46951i 0.336319 + 0.244350i 0.743107 0.669172i \(-0.233351\pi\)
−0.406788 + 0.913523i \(0.633351\pi\)
\(702\) 0.154372 + 0.475108i 0.00582639 + 0.0179318i
\(703\) −8.91226 −0.336132
\(704\) 0.764975 + 3.22720i 0.0288311 + 0.121630i
\(705\) 0.960740 0.0361836
\(706\) −8.61318 26.5086i −0.324161 0.997666i
\(707\) −18.1650 13.1976i −0.683164 0.496348i
\(708\) −1.12016 + 0.813847i −0.0420984 + 0.0305863i
\(709\) 1.18035 3.63276i 0.0443291 0.136431i −0.926442 0.376437i \(-0.877149\pi\)
0.970772 + 0.240006i \(0.0771493\pi\)
\(710\) −3.53120 + 10.8679i −0.132524 + 0.407866i
\(711\) 18.1324 13.1739i 0.680017 0.494061i
\(712\) 8.37475 + 6.08461i 0.313857 + 0.228030i
\(713\) −1.11471 3.43074i −0.0417464 0.128482i
\(714\) 1.55284 0.0581137
\(715\) −5.35763 0.437157i −0.200364 0.0163488i
\(716\) −12.5527 −0.469116
\(717\) −0.792570 2.43928i −0.0295991 0.0910965i
\(718\) −28.9092 21.0038i −1.07888 0.783854i
\(719\) −10.1081 + 7.34396i −0.376968 + 0.273883i −0.760095 0.649813i \(-0.774847\pi\)
0.383126 + 0.923696i \(0.374847\pi\)
\(720\) −2.82850 + 8.70524i −0.105412 + 0.324425i
\(721\) −2.63560 + 8.11153i −0.0981547 + 0.302089i
\(722\) −0.809017 + 0.587785i −0.0301085 + 0.0218751i
\(723\) 2.30140 + 1.67207i 0.0855901 + 0.0621848i
\(724\) −1.06703 3.28398i −0.0396558 0.122048i
\(725\) −1.24138 −0.0461036
\(726\) 0.801617 1.55115i 0.0297508 0.0575685i
\(727\) 21.9023 0.812311 0.406155 0.913804i \(-0.366869\pi\)
0.406155 + 0.913804i \(0.366869\pi\)
\(728\) −0.220068 0.677299i −0.00815626 0.0251024i
\(729\) 20.7504 + 15.0761i 0.768535 + 0.558373i
\(730\) −4.28556 + 3.11364i −0.158616 + 0.115241i
\(731\) 14.0896 43.3634i 0.521123 1.60385i
\(732\) 0.313290 0.964209i 0.0115795 0.0356382i
\(733\) −22.1120 + 16.0653i −0.816726 + 0.593386i −0.915773 0.401697i \(-0.868421\pi\)
0.0990470 + 0.995083i \(0.468421\pi\)
\(734\) −30.5927 22.2269i −1.12920 0.820411i
\(735\) −0.780600 2.40244i −0.0287928 0.0886153i
\(736\) 2.09183 0.0771057
\(737\) −3.37179 0.275122i −0.124201 0.0101343i
\(738\) 24.9097 0.916937
\(739\) −2.12308 6.53417i −0.0780988 0.240363i 0.904383 0.426722i \(-0.140332\pi\)
−0.982482 + 0.186358i \(0.940332\pi\)
\(740\) −22.1851 16.1184i −0.815541 0.592525i
\(741\) −0.0676426 + 0.0491452i −0.00248491 + 0.00180539i
\(742\) −0.922068 + 2.83783i −0.0338502 + 0.104180i
\(743\) −11.9074 + 36.6473i −0.436841 + 1.34446i 0.454347 + 0.890825i \(0.349873\pi\)
−0.891188 + 0.453634i \(0.850127\pi\)
\(744\) 0.221449 0.160892i 0.00811872 0.00589859i
\(745\) 30.6933 + 22.3000i 1.12452 + 0.817008i
\(746\) −6.23614 19.1929i −0.228321 0.702701i
\(747\) −19.3271 −0.707141
\(748\) 5.53530 + 23.3518i 0.202391 + 0.853825i
\(749\) 17.8461 0.652083
\(750\) −0.0803798 0.247383i −0.00293505 0.00903317i
\(751\) −15.3957 11.1856i −0.561796 0.408168i 0.270320 0.962771i \(-0.412870\pi\)
−0.832116 + 0.554602i \(0.812870\pi\)
\(752\) −1.59143 + 1.15624i −0.0580334 + 0.0421637i
\(753\) 1.32216 4.06918i 0.0481821 0.148289i
\(754\) 0.0452304 0.139205i 0.00164720 0.00506955i
\(755\) −9.04750 + 6.57340i −0.329272 + 0.239230i
\(756\) 1.03733 + 0.753661i 0.0377272 + 0.0274104i
\(757\) −12.9789 39.9448i −0.471724 1.45182i −0.850325 0.526258i \(-0.823595\pi\)
0.378600 0.925560i \(-0.376405\pi\)
\(758\) −32.7152 −1.18827
\(759\) −0.835331 0.717604i −0.0303206 0.0260474i
\(760\) −3.07692 −0.111612
\(761\) −6.77668 20.8565i −0.245654 0.756047i −0.995528 0.0944657i \(-0.969886\pi\)
0.749874 0.661581i \(-0.230114\pi\)
\(762\) 2.11349 + 1.53554i 0.0765636 + 0.0556267i
\(763\) −4.89309 + 3.55503i −0.177142 + 0.128701i
\(764\) 6.58881 20.2783i 0.238375 0.733642i
\(765\) −20.4668 + 62.9904i −0.739980 + 2.27742i
\(766\) 20.7769 15.0953i 0.750700 0.545416i
\(767\) 3.71726 + 2.70074i 0.134222 + 0.0975182i
\(768\) 0.0490505 + 0.150962i 0.00176996 + 0.00544737i
\(769\) −20.9969 −0.757167 −0.378584 0.925567i \(-0.623589\pi\)
−0.378584 + 0.925567i \(0.623589\pi\)
\(770\) −11.7846 + 7.17507i −0.424686 + 0.258571i
\(771\) −3.52870