Properties

Label 403.2.k.e.66.3
Level 403
Weight 2
Character 403.66
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.k (of order \(5\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(17\) over \(\Q(\zeta_{5})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 66.3
Character \(\chi\) \(=\) 403.66
Dual form 403.2.k.e.287.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.651553 - 2.00527i) q^{2} +(-0.602423 + 1.85407i) q^{3} +(-1.97856 + 1.43751i) q^{4} +2.75944 q^{5} +4.11042 q^{6} +(-1.61436 + 1.17290i) q^{7} +(0.760164 + 0.552291i) q^{8} +(-0.647600 - 0.470509i) q^{9} +O(q^{10})\) \(q+(-0.651553 - 2.00527i) q^{2} +(-0.602423 + 1.85407i) q^{3} +(-1.97856 + 1.43751i) q^{4} +2.75944 q^{5} +4.11042 q^{6} +(-1.61436 + 1.17290i) q^{7} +(0.760164 + 0.552291i) q^{8} +(-0.647600 - 0.470509i) q^{9} +(-1.79792 - 5.53344i) q^{10} +(-1.52627 + 1.10890i) q^{11} +(-1.47331 - 4.53438i) q^{12} +(0.309017 - 0.951057i) q^{13} +(3.40383 + 2.47302i) q^{14} +(-1.66235 + 5.11620i) q^{15} +(-0.899280 + 2.76770i) q^{16} +(5.81579 + 4.22542i) q^{17} +(-0.521553 + 1.60518i) q^{18} +(1.47010 + 4.52451i) q^{19} +(-5.45973 + 3.96673i) q^{20} +(-1.20211 - 3.69971i) q^{21} +(3.21809 + 2.33808i) q^{22} +(0.365759 + 0.265740i) q^{23} +(-1.48192 + 1.07668i) q^{24} +2.61454 q^{25} -2.10847 q^{26} +(-3.46901 + 2.52038i) q^{27} +(1.50806 - 4.64132i) q^{28} +(1.43621 + 4.42019i) q^{29} +11.3425 q^{30} +(-0.697017 - 5.52396i) q^{31} +8.01515 q^{32} +(-1.13651 - 3.49783i) q^{33} +(4.68382 - 14.4153i) q^{34} +(-4.45474 + 3.23656i) q^{35} +1.95768 q^{36} +11.6410 q^{37} +(8.11502 - 5.89591i) q^{38} +(1.57716 + 1.14588i) q^{39} +(2.09763 + 1.52402i) q^{40} +(0.313473 + 0.964771i) q^{41} +(-6.63570 + 4.82111i) q^{42} +(-2.62766 - 8.08711i) q^{43} +(1.42577 - 4.38805i) q^{44} +(-1.78702 - 1.29834i) q^{45} +(0.294569 - 0.906591i) q^{46} +(0.618792 - 1.90445i) q^{47} +(-4.58975 - 3.33465i) q^{48} +(-0.932659 + 2.87043i) q^{49} +(-1.70351 - 5.24286i) q^{50} +(-11.3378 + 8.23738i) q^{51} +(0.755744 + 2.32594i) q^{52} +(-0.445724 - 0.323837i) q^{53} +(7.31429 + 5.31414i) q^{54} +(-4.21165 + 3.05995i) q^{55} -1.87496 q^{56} -9.27436 q^{57} +(7.92791 - 5.75997i) q^{58} +(-2.42331 + 7.45817i) q^{59} +(-4.06551 - 12.5124i) q^{60} -9.19132 q^{61} +(-10.6229 + 4.99686i) q^{62} +1.59732 q^{63} +(-3.42373 - 10.5372i) q^{64} +(0.852715 - 2.62439i) q^{65} +(-6.27361 + 4.55804i) q^{66} +6.19938 q^{67} -17.5810 q^{68} +(-0.713041 + 0.518055i) q^{69} +(9.39267 + 6.82417i) q^{70} +(-3.23916 - 2.35339i) q^{71} +(-0.232424 - 0.715327i) q^{72} +(8.87119 - 6.44530i) q^{73} +(-7.58474 - 23.3434i) q^{74} +(-1.57506 + 4.84752i) q^{75} +(-9.41271 - 6.83874i) q^{76} +(1.16332 - 3.58032i) q^{77} +(1.27019 - 3.90924i) q^{78} +(6.94872 + 5.04854i) q^{79} +(-2.48151 + 7.63731i) q^{80} +(-3.32523 - 10.2340i) q^{81} +(1.73038 - 1.25720i) q^{82} +(-2.88738 - 8.88644i) q^{83} +(7.69682 + 5.59207i) q^{84} +(16.0484 + 11.6598i) q^{85} +(-14.5048 + 10.5384i) q^{86} -9.06052 q^{87} -1.77265 q^{88} +(-4.91459 + 3.57066i) q^{89} +(-1.43920 + 4.42939i) q^{90} +(0.616630 + 1.89779i) q^{91} -1.10568 q^{92} +(10.6617 + 2.03545i) q^{93} -4.22211 q^{94} +(4.05666 + 12.4851i) q^{95} +(-4.82851 + 14.8606i) q^{96} +(-6.66010 + 4.83885i) q^{97} +6.36367 q^{98} +1.51016 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} + O(q^{10}) \) \( 68q - 3q^{2} - 2q^{3} - 23q^{4} + 12q^{5} + 4q^{6} + 2q^{7} - 3q^{8} - 23q^{9} - 13q^{10} - 5q^{11} - 28q^{12} - 17q^{13} - 3q^{14} - 14q^{15} + 9q^{16} + 12q^{17} - 19q^{18} - 4q^{19} - 53q^{20} - 13q^{21} - 14q^{22} - 9q^{23} + 2q^{24} + 96q^{25} + 12q^{26} + 25q^{27} - 25q^{28} - 78q^{30} - 2q^{31} + 76q^{32} + 29q^{33} - 15q^{34} - 36q^{35} + 52q^{36} + 24q^{37} - 19q^{38} + 3q^{39} - 12q^{40} - 40q^{41} + 11q^{42} - 22q^{43} + 4q^{44} + 63q^{45} - 24q^{46} + 3q^{47} + 68q^{48} + 33q^{49} - 76q^{50} - 59q^{51} - 13q^{52} - q^{53} + 18q^{54} - 22q^{55} + 78q^{56} - 16q^{57} + 5q^{58} - 18q^{59} + 43q^{60} - 32q^{61} - 39q^{62} + 20q^{63} + 23q^{64} + 2q^{65} + 11q^{66} + 114q^{67} + 98q^{68} - 46q^{69} + 32q^{70} - 2q^{71} + 28q^{72} + 10q^{73} - 43q^{74} - 12q^{75} - 35q^{76} - 3q^{77} - 6q^{78} - 10q^{79} + 68q^{80} - 54q^{81} - 80q^{82} - 22q^{83} - 14q^{84} - 50q^{85} - 66q^{86} + 76q^{87} - 34q^{88} - 10q^{89} - 63q^{90} - 8q^{91} - 64q^{92} - 16q^{93} + 30q^{94} + 15q^{95} + 34q^{96} - 7q^{97} + 138q^{98} - 48q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.651553 2.00527i −0.460717 1.41794i −0.864290 0.502994i \(-0.832232\pi\)
0.403573 0.914948i \(-0.367768\pi\)
\(3\) −0.602423 + 1.85407i −0.347809 + 1.07045i 0.612254 + 0.790661i \(0.290263\pi\)
−0.960063 + 0.279785i \(0.909737\pi\)
\(4\) −1.97856 + 1.43751i −0.989281 + 0.718755i
\(5\) 2.75944 1.23406 0.617031 0.786939i \(-0.288335\pi\)
0.617031 + 0.786939i \(0.288335\pi\)
\(6\) 4.11042 1.67807
\(7\) −1.61436 + 1.17290i −0.610171 + 0.443315i −0.849474 0.527630i \(-0.823081\pi\)
0.239304 + 0.970945i \(0.423081\pi\)
\(8\) 0.760164 + 0.552291i 0.268758 + 0.195264i
\(9\) −0.647600 0.470509i −0.215867 0.156836i
\(10\) −1.79792 5.53344i −0.568553 1.74983i
\(11\) −1.52627 + 1.10890i −0.460187 + 0.334346i −0.793605 0.608434i \(-0.791798\pi\)
0.333417 + 0.942779i \(0.391798\pi\)
\(12\) −1.47331 4.53438i −0.425307 1.30896i
\(13\) 0.309017 0.951057i 0.0857059 0.263776i
\(14\) 3.40383 + 2.47302i 0.909711 + 0.660944i
\(15\) −1.66235 + 5.11620i −0.429218 + 1.32100i
\(16\) −0.899280 + 2.76770i −0.224820 + 0.691925i
\(17\) 5.81579 + 4.22542i 1.41054 + 1.02481i 0.993244 + 0.116043i \(0.0370209\pi\)
0.417292 + 0.908772i \(0.362979\pi\)
\(18\) −0.521553 + 1.60518i −0.122931 + 0.378343i
\(19\) 1.47010 + 4.52451i 0.337264 + 1.03799i 0.965596 + 0.260047i \(0.0837382\pi\)
−0.628331 + 0.777946i \(0.716262\pi\)
\(20\) −5.45973 + 3.96673i −1.22083 + 0.886988i
\(21\) −1.20211 3.69971i −0.262322 0.807344i
\(22\) 3.21809 + 2.33808i 0.686099 + 0.498480i
\(23\) 0.365759 + 0.265740i 0.0762661 + 0.0554106i 0.625265 0.780413i \(-0.284991\pi\)
−0.548999 + 0.835823i \(0.684991\pi\)
\(24\) −1.48192 + 1.07668i −0.302497 + 0.219777i
\(25\) 2.61454 0.522907
\(26\) −2.10847 −0.413505
\(27\) −3.46901 + 2.52038i −0.667611 + 0.485048i
\(28\) 1.50806 4.64132i 0.284996 0.877126i
\(29\) 1.43621 + 4.42019i 0.266697 + 0.820808i 0.991298 + 0.131639i \(0.0420240\pi\)
−0.724601 + 0.689169i \(0.757976\pi\)
\(30\) 11.3425 2.07084
\(31\) −0.697017 5.52396i −0.125188 0.992133i
\(32\) 8.01515 1.41689
\(33\) −1.13651 3.49783i −0.197842 0.608894i
\(34\) 4.68382 14.4153i 0.803269 2.47221i
\(35\) −4.45474 + 3.23656i −0.752988 + 0.547078i
\(36\) 1.95768 0.326280
\(37\) 11.6410 1.91377 0.956886 0.290463i \(-0.0938094\pi\)
0.956886 + 0.290463i \(0.0938094\pi\)
\(38\) 8.11502 5.89591i 1.31643 0.956443i
\(39\) 1.57716 + 1.14588i 0.252548 + 0.183487i
\(40\) 2.09763 + 1.52402i 0.331664 + 0.240968i
\(41\) 0.313473 + 0.964771i 0.0489563 + 0.150672i 0.972546 0.232710i \(-0.0747593\pi\)
−0.923590 + 0.383382i \(0.874759\pi\)
\(42\) −6.63570 + 4.82111i −1.02391 + 0.743914i
\(43\) −2.62766 8.08711i −0.400714 1.23327i −0.924421 0.381374i \(-0.875451\pi\)
0.523707 0.851899i \(-0.324549\pi\)
\(44\) 1.42577 4.38805i 0.214942 0.661524i
\(45\) −1.78702 1.29834i −0.266393 0.193546i
\(46\) 0.294569 0.906591i 0.0434319 0.133670i
\(47\) 0.618792 1.90445i 0.0902601 0.277792i −0.895729 0.444600i \(-0.853346\pi\)
0.985989 + 0.166808i \(0.0533459\pi\)
\(48\) −4.58975 3.33465i −0.662474 0.481315i
\(49\) −0.932659 + 2.87043i −0.133237 + 0.410061i
\(50\) −1.70351 5.24286i −0.240912 0.741452i
\(51\) −11.3378 + 8.23738i −1.58761 + 1.15346i
\(52\) 0.755744 + 2.32594i 0.104803 + 0.322550i
\(53\) −0.445724 0.323837i −0.0612249 0.0444825i 0.556752 0.830679i \(-0.312047\pi\)
−0.617977 + 0.786196i \(0.712047\pi\)
\(54\) 7.31429 + 5.31414i 0.995349 + 0.723163i
\(55\) −4.21165 + 3.05995i −0.567899 + 0.412603i
\(56\) −1.87496 −0.250552
\(57\) −9.27436 −1.22842
\(58\) 7.92791 5.75997i 1.04099 0.756321i
\(59\) −2.42331 + 7.45817i −0.315487 + 0.970971i 0.660066 + 0.751208i \(0.270528\pi\)
−0.975553 + 0.219763i \(0.929472\pi\)
\(60\) −4.06551 12.5124i −0.524855 1.61534i
\(61\) −9.19132 −1.17683 −0.588414 0.808560i \(-0.700247\pi\)
−0.588414 + 0.808560i \(0.700247\pi\)
\(62\) −10.6229 + 4.99686i −1.34911 + 0.634602i
\(63\) 1.59732 0.201243
\(64\) −3.42373 10.5372i −0.427966 1.31714i
\(65\) 0.852715 2.62439i 0.105766 0.325515i
\(66\) −6.27361 + 4.55804i −0.772227 + 0.561056i
\(67\) 6.19938 0.757375 0.378687 0.925525i \(-0.376376\pi\)
0.378687 + 0.925525i \(0.376376\pi\)
\(68\) −17.5810 −2.13201
\(69\) −0.713041 + 0.518055i −0.0858401 + 0.0623665i
\(70\) 9.39267 + 6.82417i 1.12264 + 0.815645i
\(71\) −3.23916 2.35339i −0.384417 0.279295i 0.378747 0.925500i \(-0.376355\pi\)
−0.763164 + 0.646205i \(0.776355\pi\)
\(72\) −0.232424 0.715327i −0.0273914 0.0843021i
\(73\) 8.87119 6.44530i 1.03829 0.754365i 0.0683426 0.997662i \(-0.478229\pi\)
0.969952 + 0.243297i \(0.0782289\pi\)
\(74\) −7.58474 23.3434i −0.881708 2.71362i
\(75\) −1.57506 + 4.84752i −0.181872 + 0.559744i
\(76\) −9.41271 6.83874i −1.07971 0.784457i
\(77\) 1.16332 3.58032i 0.132572 0.408016i
\(78\) 1.27019 3.90924i 0.143821 0.442634i
\(79\) 6.94872 + 5.04854i 0.781792 + 0.568005i 0.905516 0.424312i \(-0.139484\pi\)
−0.123725 + 0.992317i \(0.539484\pi\)
\(80\) −2.48151 + 7.63731i −0.277442 + 0.853877i
\(81\) −3.32523 10.2340i −0.369470 1.13711i
\(82\) 1.73038 1.25720i 0.191089 0.138834i
\(83\) −2.88738 8.88644i −0.316931 0.975413i −0.974952 0.222414i \(-0.928606\pi\)
0.658021 0.752999i \(-0.271394\pi\)
\(84\) 7.69682 + 5.59207i 0.839792 + 0.610145i
\(85\) 16.0484 + 11.6598i 1.74069 + 1.26468i
\(86\) −14.5048 + 10.5384i −1.56409 + 1.13638i
\(87\) −9.06052 −0.971390
\(88\) −1.77265 −0.188965
\(89\) −4.91459 + 3.57066i −0.520946 + 0.378489i −0.816960 0.576694i \(-0.804342\pi\)
0.296014 + 0.955183i \(0.404342\pi\)
\(90\) −1.43920 + 4.42939i −0.151705 + 0.466899i
\(91\) 0.616630 + 1.89779i 0.0646404 + 0.198943i
\(92\) −1.10568 −0.115275
\(93\) 10.6617 + 2.03545i 1.10557 + 0.211066i
\(94\) −4.22211 −0.435477
\(95\) 4.05666 + 12.4851i 0.416205 + 1.28095i
\(96\) −4.82851 + 14.8606i −0.492807 + 1.51671i
\(97\) −6.66010 + 4.83885i −0.676231 + 0.491310i −0.872105 0.489319i \(-0.837246\pi\)
0.195874 + 0.980629i \(0.437246\pi\)
\(98\) 6.36367 0.642827
\(99\) 1.51016 0.151777
\(100\) −5.17302 + 3.75842i −0.517302 + 0.375842i
\(101\) −11.9511 8.68296i −1.18918 0.863987i −0.195999 0.980604i \(-0.562795\pi\)
−0.993177 + 0.116617i \(0.962795\pi\)
\(102\) 23.9053 + 17.3682i 2.36698 + 1.71971i
\(103\) −0.367779 1.13191i −0.0362384 0.111530i 0.931301 0.364250i \(-0.118675\pi\)
−0.967539 + 0.252720i \(0.918675\pi\)
\(104\) 0.760164 0.552291i 0.0745402 0.0541566i
\(105\) −3.31716 10.2092i −0.323721 0.996311i
\(106\) −0.358970 + 1.10480i −0.0348662 + 0.107307i
\(107\) 2.27782 + 1.65493i 0.220205 + 0.159988i 0.692419 0.721496i \(-0.256545\pi\)
−0.472214 + 0.881484i \(0.656545\pi\)
\(108\) 3.24057 9.97346i 0.311824 0.959697i
\(109\) 4.22451 13.0017i 0.404635 1.24534i −0.516565 0.856248i \(-0.672790\pi\)
0.921200 0.389090i \(-0.127210\pi\)
\(110\) 8.88014 + 6.45180i 0.846688 + 0.615155i
\(111\) −7.01282 + 21.5832i −0.665627 + 2.04859i
\(112\) −1.79448 5.52283i −0.169562 0.521858i
\(113\) −12.0099 + 8.72573i −1.12980 + 0.820847i −0.985666 0.168711i \(-0.946040\pi\)
−0.144134 + 0.989558i \(0.546040\pi\)
\(114\) 6.04273 + 18.5976i 0.565954 + 1.74183i
\(115\) 1.00929 + 0.733294i 0.0941171 + 0.0683801i
\(116\) −9.19568 6.68105i −0.853798 0.620320i
\(117\) −0.647600 + 0.470509i −0.0598706 + 0.0434986i
\(118\) 16.5346 1.52213
\(119\) −14.3448 −1.31498
\(120\) −4.08929 + 2.97104i −0.373299 + 0.271218i
\(121\) −2.29935 + 7.07666i −0.209032 + 0.643333i
\(122\) 5.98863 + 18.4311i 0.542185 + 1.66867i
\(123\) −1.97759 −0.178314
\(124\) 9.31984 + 9.92754i 0.836947 + 0.891519i
\(125\) −6.58256 −0.588762
\(126\) −1.04074 3.20306i −0.0927163 0.285351i
\(127\) 3.44172 10.5925i 0.305403 0.939933i −0.674124 0.738618i \(-0.735479\pi\)
0.979527 0.201315i \(-0.0645215\pi\)
\(128\) −5.93035 + 4.30865i −0.524173 + 0.380834i
\(129\) 16.5770 1.45952
\(130\) −5.81820 −0.510290
\(131\) 1.59688 1.16020i 0.139520 0.101367i −0.515836 0.856687i \(-0.672519\pi\)
0.655356 + 0.755320i \(0.272519\pi\)
\(132\) 7.27683 + 5.28693i 0.633367 + 0.460168i
\(133\) −7.68007 5.57990i −0.665947 0.483839i
\(134\) −4.03922 12.4314i −0.348936 1.07391i
\(135\) −9.57253 + 6.95485i −0.823872 + 0.598578i
\(136\) 2.08729 + 6.42402i 0.178984 + 0.550855i
\(137\) 6.64952 20.4651i 0.568107 1.74845i −0.0904275 0.995903i \(-0.528823\pi\)
0.658535 0.752551i \(-0.271177\pi\)
\(138\) 1.50342 + 1.09230i 0.127980 + 0.0929829i
\(139\) 3.93123 12.0991i 0.333443 1.02623i −0.634041 0.773299i \(-0.718605\pi\)
0.967484 0.252932i \(-0.0813949\pi\)
\(140\) 4.16139 12.8075i 0.351702 1.08243i
\(141\) 3.15820 + 2.29456i 0.265968 + 0.193237i
\(142\) −2.60870 + 8.02875i −0.218917 + 0.673757i
\(143\) 0.582983 + 1.79424i 0.0487515 + 0.150042i
\(144\) 1.88460 1.36924i 0.157050 0.114104i
\(145\) 3.96313 + 12.1973i 0.329120 + 1.01293i
\(146\) −18.7046 13.5897i −1.54801 1.12469i
\(147\) −4.76011 3.45842i −0.392607 0.285246i
\(148\) −23.0325 + 16.7341i −1.89326 + 1.37553i
\(149\) 4.85360 0.397623 0.198811 0.980038i \(-0.436292\pi\)
0.198811 + 0.980038i \(0.436292\pi\)
\(150\) 10.7468 0.877476
\(151\) 9.56919 6.95242i 0.778730 0.565780i −0.125868 0.992047i \(-0.540172\pi\)
0.904597 + 0.426267i \(0.140172\pi\)
\(152\) −1.38133 + 4.25129i −0.112040 + 0.344825i
\(153\) −1.77821 5.47276i −0.143760 0.442447i
\(154\) −7.93749 −0.639621
\(155\) −1.92338 15.2431i −0.154490 1.22435i
\(156\) −4.76773 −0.381724
\(157\) 0.789172 + 2.42882i 0.0629828 + 0.193841i 0.977597 0.210488i \(-0.0675052\pi\)
−0.914614 + 0.404329i \(0.867505\pi\)
\(158\) 5.59624 17.2235i 0.445213 1.37022i
\(159\) 0.868931 0.631315i 0.0689107 0.0500665i
\(160\) 22.1174 1.74853
\(161\) −0.902154 −0.0710997
\(162\) −18.3554 + 13.3360i −1.44214 + 1.04777i
\(163\) −11.6625 8.47330i −0.913477 0.663680i 0.0284148 0.999596i \(-0.490954\pi\)
−0.941892 + 0.335916i \(0.890954\pi\)
\(164\) −2.00709 1.45824i −0.156728 0.113869i
\(165\) −3.13615 9.65207i −0.244149 0.751413i
\(166\) −15.9384 + 11.5800i −1.23706 + 0.898779i
\(167\) −0.711704 2.19040i −0.0550733 0.169498i 0.919736 0.392537i \(-0.128402\pi\)
−0.974810 + 0.223039i \(0.928402\pi\)
\(168\) 1.12952 3.47630i 0.0871443 0.268203i
\(169\) −0.809017 0.587785i −0.0622321 0.0452143i
\(170\) 12.9248 39.7783i 0.991283 3.05086i
\(171\) 1.17678 3.62177i 0.0899909 0.276963i
\(172\) 16.8243 + 12.2236i 1.28284 + 0.932038i
\(173\) −1.11902 + 3.44399i −0.0850776 + 0.261842i −0.984541 0.175154i \(-0.943958\pi\)
0.899463 + 0.436996i \(0.143958\pi\)
\(174\) 5.90341 + 18.1688i 0.447536 + 1.37737i
\(175\) −4.22080 + 3.06659i −0.319063 + 0.231813i
\(176\) −1.69656 5.22146i −0.127883 0.393583i
\(177\) −12.3681 8.98594i −0.929642 0.675425i
\(178\) 10.3623 + 7.52862i 0.776684 + 0.564294i
\(179\) −6.33474 + 4.60246i −0.473481 + 0.344004i −0.798796 0.601602i \(-0.794530\pi\)
0.325315 + 0.945606i \(0.394530\pi\)
\(180\) 5.40211 0.402649
\(181\) −6.01306 −0.446947 −0.223474 0.974710i \(-0.571740\pi\)
−0.223474 + 0.974710i \(0.571740\pi\)
\(182\) 3.40383 2.47302i 0.252308 0.183313i
\(183\) 5.53706 17.0413i 0.409311 1.25973i
\(184\) 0.131271 + 0.404011i 0.00967745 + 0.0297841i
\(185\) 32.1228 2.36171
\(186\) −2.86503 22.7058i −0.210074 1.66487i
\(187\) −13.5620 −0.991754
\(188\) 1.51334 + 4.65759i 0.110372 + 0.339689i
\(189\) 2.64407 8.13760i 0.192328 0.591923i
\(190\) 22.3930 16.2694i 1.62456 1.18031i
\(191\) 3.61561 0.261616 0.130808 0.991408i \(-0.458243\pi\)
0.130808 + 0.991408i \(0.458243\pi\)
\(192\) 21.5991 1.55878
\(193\) −4.84862 + 3.52273i −0.349012 + 0.253572i −0.748454 0.663186i \(-0.769204\pi\)
0.399443 + 0.916758i \(0.369204\pi\)
\(194\) 14.0426 + 10.2026i 1.00820 + 0.732501i
\(195\) 4.35210 + 3.16198i 0.311660 + 0.226434i
\(196\) −2.28095 7.02003i −0.162925 0.501431i
\(197\) 9.17880 6.66879i 0.653962 0.475131i −0.210656 0.977560i \(-0.567560\pi\)
0.864619 + 0.502429i \(0.167560\pi\)
\(198\) −0.983948 3.02828i −0.0699261 0.215210i
\(199\) −0.753172 + 2.31802i −0.0533909 + 0.164320i −0.974196 0.225702i \(-0.927533\pi\)
0.920806 + 0.390022i \(0.127533\pi\)
\(200\) 1.98747 + 1.44398i 0.140536 + 0.102105i
\(201\) −3.73465 + 11.4941i −0.263422 + 0.810729i
\(202\) −9.62495 + 29.6226i −0.677209 + 2.08424i
\(203\) −7.50299 5.45124i −0.526607 0.382602i
\(204\) 10.5912 32.5963i 0.741532 2.28220i
\(205\) 0.865012 + 2.66223i 0.0604150 + 0.185938i
\(206\) −2.03016 + 1.47500i −0.141448 + 0.102768i
\(207\) −0.111833 0.344186i −0.00777292 0.0239226i
\(208\) 2.35434 + 1.71053i 0.163244 + 0.118604i
\(209\) −7.26099 5.27542i −0.502253 0.364908i
\(210\) −18.3108 + 13.3036i −1.26357 + 0.918036i
\(211\) 12.6919 0.873748 0.436874 0.899523i \(-0.356086\pi\)
0.436874 + 0.899523i \(0.356086\pi\)
\(212\) 1.34741 0.0925407
\(213\) 6.31468 4.58788i 0.432674 0.314356i
\(214\) 1.83447 5.64592i 0.125402 0.385947i
\(215\) −7.25088 22.3159i −0.494506 1.52193i
\(216\) −4.02900 −0.274139
\(217\) 7.60430 + 8.10013i 0.516213 + 0.549873i
\(218\) −28.8245 −1.95224
\(219\) 6.60581 + 20.3306i 0.446379 + 1.37381i
\(220\) 3.93432 12.1086i 0.265252 0.816361i
\(221\) 5.81579 4.22542i 0.391212 0.284233i
\(222\) 47.8495 3.21145
\(223\) 16.0899 1.07746 0.538730 0.842479i \(-0.318904\pi\)
0.538730 + 0.842479i \(0.318904\pi\)
\(224\) −12.9393 + 9.40097i −0.864545 + 0.628129i
\(225\) −1.69317 1.23016i −0.112878 0.0820108i
\(226\) 25.3226 + 18.3979i 1.68443 + 1.22381i
\(227\) 8.25262 + 25.3990i 0.547746 + 1.68579i 0.714370 + 0.699768i \(0.246713\pi\)
−0.166625 + 0.986020i \(0.553287\pi\)
\(228\) 18.3499 13.3320i 1.21525 0.882932i
\(229\) −4.75170 14.6242i −0.314001 0.966397i −0.976164 0.217036i \(-0.930361\pi\)
0.662162 0.749361i \(-0.269639\pi\)
\(230\) 0.812848 2.50169i 0.0535976 0.164956i
\(231\) 5.93735 + 4.31374i 0.390649 + 0.283823i
\(232\) −1.34948 + 4.15327i −0.0885976 + 0.272675i
\(233\) 3.44604 10.6058i 0.225757 0.694809i −0.772457 0.635068i \(-0.780972\pi\)
0.998214 0.0597419i \(-0.0190278\pi\)
\(234\) 1.36544 + 0.992053i 0.0892619 + 0.0648525i
\(235\) 1.70752 5.25522i 0.111387 0.342812i
\(236\) −5.92653 18.2400i −0.385784 1.18732i
\(237\) −13.5464 + 9.84203i −0.879933 + 0.639308i
\(238\) 9.34638 + 28.7652i 0.605836 + 1.86457i
\(239\) 23.0355 + 16.7363i 1.49005 + 1.08258i 0.974143 + 0.225934i \(0.0725433\pi\)
0.515902 + 0.856647i \(0.327457\pi\)
\(240\) −12.6652 9.20178i −0.817533 0.593972i
\(241\) 15.9625 11.5974i 1.02823 0.747055i 0.0602784 0.998182i \(-0.480801\pi\)
0.967954 + 0.251127i \(0.0808011\pi\)
\(242\) 15.6888 1.00851
\(243\) 8.11394 0.520509
\(244\) 18.1856 13.2126i 1.16421 0.845851i
\(245\) −2.57362 + 7.92079i −0.164423 + 0.506041i
\(246\) 1.28851 + 3.96561i 0.0821521 + 0.252838i
\(247\) 4.75735 0.302703
\(248\) 2.52099 4.58407i 0.160083 0.291089i
\(249\) 18.2155 1.15436
\(250\) 4.28888 + 13.1998i 0.271253 + 0.834830i
\(251\) −7.40108 + 22.7782i −0.467152 + 1.43775i 0.389103 + 0.921194i \(0.372785\pi\)
−0.856255 + 0.516553i \(0.827215\pi\)
\(252\) −3.16040 + 2.29616i −0.199086 + 0.144645i
\(253\) −0.852926 −0.0536230
\(254\) −23.4833 −1.47348
\(255\) −31.2860 + 22.7306i −1.95920 + 1.42344i
\(256\) −5.42293 3.93999i −0.338933 0.246249i
\(257\) −15.7744 11.4608i −0.983980 0.714904i −0.0253857 0.999678i \(-0.508081\pi\)
−0.958595 + 0.284774i \(0.908081\pi\)
\(258\) −10.8008 33.2414i −0.672428 2.06952i
\(259\) −18.7928 + 13.6538i −1.16773 + 0.848404i
\(260\) 2.08543 + 6.41830i 0.129333 + 0.398046i
\(261\) 1.14965 3.53826i 0.0711615 0.219013i
\(262\) −3.36697 2.44625i −0.208012 0.151130i
\(263\) 5.02433 15.4633i 0.309813 0.953507i −0.668024 0.744140i \(-0.732860\pi\)
0.977837 0.209367i \(-0.0671405\pi\)
\(264\) 1.06788 3.28661i 0.0657237 0.202277i
\(265\) −1.22995 0.893612i −0.0755553 0.0548941i
\(266\) −6.18525 + 19.0362i −0.379242 + 1.16719i
\(267\) −3.65958 11.2630i −0.223963 0.689286i
\(268\) −12.2659 + 8.91167i −0.749257 + 0.544367i
\(269\) 2.83591 + 8.72803i 0.172908 + 0.532157i 0.999532 0.0305981i \(-0.00974121\pi\)
−0.826623 + 0.562756i \(0.809741\pi\)
\(270\) 20.1834 + 14.6641i 1.22832 + 0.892428i
\(271\) −17.3079 12.5749i −1.05138 0.763872i −0.0789058 0.996882i \(-0.525143\pi\)
−0.972474 + 0.233010i \(0.925143\pi\)
\(272\) −16.9247 + 12.2965i −1.02621 + 0.745586i
\(273\) −3.89011 −0.235440
\(274\) −45.3707 −2.74094
\(275\) −3.99048 + 2.89926i −0.240635 + 0.174832i
\(276\) 0.666088 2.05001i 0.0400938 0.123396i
\(277\) −2.54260 7.82532i −0.152770 0.470178i 0.845158 0.534516i \(-0.179506\pi\)
−0.997928 + 0.0643386i \(0.979506\pi\)
\(278\) −26.8234 −1.60876
\(279\) −2.14769 + 3.90527i −0.128579 + 0.233802i
\(280\) −5.17385 −0.309197
\(281\) 4.47438 + 13.7707i 0.266919 + 0.821493i 0.991245 + 0.132035i \(0.0421511\pi\)
−0.724326 + 0.689458i \(0.757849\pi\)
\(282\) 2.54350 7.82807i 0.151463 0.466155i
\(283\) 24.4108 17.7355i 1.45107 1.05427i 0.465493 0.885051i \(-0.345877\pi\)
0.985579 0.169215i \(-0.0541231\pi\)
\(284\) 9.79189 0.581042
\(285\) −25.5921 −1.51594
\(286\) 3.21809 2.33808i 0.190290 0.138254i
\(287\) −1.63764 1.18981i −0.0966668 0.0702325i
\(288\) −5.19061 3.77120i −0.305859 0.222220i
\(289\) 10.7160 + 32.9804i 0.630351 + 1.94002i
\(290\) 21.8766 15.8943i 1.28464 0.933346i
\(291\) −4.95935 15.2633i −0.290722 0.894751i
\(292\) −8.28703 + 25.5049i −0.484962 + 1.49256i
\(293\) 16.6432 + 12.0920i 0.972305 + 0.706421i 0.955976 0.293446i \(-0.0948019\pi\)
0.0163295 + 0.999867i \(0.494802\pi\)
\(294\) −3.83362 + 11.7987i −0.223581 + 0.688112i
\(295\) −6.68698 + 20.5804i −0.389331 + 1.19824i
\(296\) 8.84908 + 6.42923i 0.514342 + 0.373692i
\(297\) 2.49979 7.69356i 0.145052 0.446426i
\(298\) −3.16238 9.73280i −0.183192 0.563806i
\(299\) 0.365759 0.265740i 0.0211524 0.0153681i
\(300\) −3.85202 11.8553i −0.222396 0.684465i
\(301\) 13.7274 + 9.97351i 0.791232 + 0.574864i
\(302\) −20.1763 14.6590i −1.16102 0.843529i
\(303\) 23.2984 16.9273i 1.33846 0.972446i
\(304\) −13.8445 −0.794037
\(305\) −25.3629 −1.45228
\(306\) −9.81578 + 7.13158i −0.561131 + 0.407686i
\(307\) −0.0670593 + 0.206387i −0.00382728 + 0.0117791i −0.952952 0.303121i \(-0.901971\pi\)
0.949125 + 0.314901i \(0.101971\pi\)
\(308\) 2.84505 + 8.75618i 0.162112 + 0.498930i
\(309\) 2.32019 0.131991
\(310\) −29.3133 + 13.7886i −1.66489 + 0.783138i
\(311\) 17.3936 0.986302 0.493151 0.869944i \(-0.335845\pi\)
0.493151 + 0.869944i \(0.335845\pi\)
\(312\) 0.566045 + 1.74211i 0.0320460 + 0.0986274i
\(313\) −1.02916 + 3.16742i −0.0581715 + 0.179033i −0.975920 0.218128i \(-0.930005\pi\)
0.917749 + 0.397162i \(0.130005\pi\)
\(314\) 4.35626 3.16501i 0.245838 0.178612i
\(315\) 4.40771 0.248347
\(316\) −21.0058 −1.18167
\(317\) −4.71486 + 3.42555i −0.264813 + 0.192398i −0.712266 0.701909i \(-0.752331\pi\)
0.447453 + 0.894307i \(0.352331\pi\)
\(318\) −1.83211 1.33111i −0.102740 0.0746448i
\(319\) −7.09358 5.15378i −0.397164 0.288557i
\(320\) −9.44759 29.0767i −0.528136 1.62544i
\(321\) −4.44057 + 3.22626i −0.247848 + 0.180072i
\(322\) 0.587801 + 1.80906i 0.0327568 + 0.100815i
\(323\) −10.5681 + 32.5254i −0.588027 + 1.80976i
\(324\) 21.2907 + 15.4686i 1.18281 + 0.859365i
\(325\) 0.807936 2.48657i 0.0448162 0.137930i
\(326\) −9.39254 + 28.9073i −0.520205 + 1.60103i
\(327\) 21.5611 + 15.6650i 1.19233 + 0.866279i
\(328\) −0.294544 + 0.906512i −0.0162635 + 0.0500538i
\(329\) 1.23477 + 3.80024i 0.0680753 + 0.209514i
\(330\) −17.3117 + 12.5777i −0.952976 + 0.692378i
\(331\) 9.62018 + 29.6079i 0.528773 + 1.62739i 0.756733 + 0.653724i \(0.226794\pi\)
−0.227960 + 0.973670i \(0.573206\pi\)
\(332\) 18.4872 + 13.4317i 1.01462 + 0.737162i
\(333\) −7.53872 5.47720i −0.413120 0.300149i
\(334\) −3.92863 + 2.85432i −0.214965 + 0.156181i
\(335\) 17.1068 0.934647
\(336\) 11.3207 0.617596
\(337\) 24.7691 17.9958i 1.34926 0.980294i 0.350211 0.936671i \(-0.386110\pi\)
0.999048 0.0436237i \(-0.0138903\pi\)
\(338\) −0.651553 + 2.00527i −0.0354398 + 0.109072i
\(339\) −8.94302 27.5238i −0.485718 1.49489i
\(340\) −48.5138 −2.63103
\(341\) 7.18935 + 7.65813i 0.389325 + 0.414711i
\(342\) −8.02936 −0.434178
\(343\) −6.17749 19.0124i −0.333553 1.02657i
\(344\) 2.46899 7.59876i 0.133119 0.409698i
\(345\) −1.96760 + 1.42954i −0.105932 + 0.0769640i
\(346\) 7.63524 0.410473
\(347\) 7.62556 0.409361 0.204681 0.978829i \(-0.434384\pi\)
0.204681 + 0.978829i \(0.434384\pi\)
\(348\) 17.9268 13.0246i 0.960978 0.698191i
\(349\) −27.5445 20.0122i −1.47442 1.07123i −0.979302 0.202404i \(-0.935124\pi\)
−0.495119 0.868825i \(-0.664876\pi\)
\(350\) 8.89942 + 6.46581i 0.475694 + 0.345612i
\(351\) 1.32504 + 4.07806i 0.0707255 + 0.217671i
\(352\) −12.2333 + 8.88799i −0.652035 + 0.473731i
\(353\) 5.25902 + 16.1856i 0.279910 + 0.861473i 0.987878 + 0.155229i \(0.0496116\pi\)
−0.707969 + 0.706244i \(0.750388\pi\)
\(354\) −9.96080 + 30.6562i −0.529411 + 1.62936i
\(355\) −8.93827 6.49404i −0.474394 0.344668i
\(356\) 4.59097 14.1296i 0.243321 0.748865i
\(357\) 8.64162 26.5962i 0.457363 1.40762i
\(358\) 13.3566 + 9.70414i 0.705918 + 0.512880i
\(359\) −0.651246 + 2.00433i −0.0343715 + 0.105784i −0.966770 0.255647i \(-0.917712\pi\)
0.932399 + 0.361431i \(0.117712\pi\)
\(360\) −0.641361 1.97391i −0.0338027 0.104034i
\(361\) −2.93864 + 2.13505i −0.154665 + 0.112371i
\(362\) 3.91783 + 12.0578i 0.205916 + 0.633745i
\(363\) −11.7354 8.52629i −0.615950 0.447514i
\(364\) −3.94814 2.86849i −0.206939 0.150350i
\(365\) 24.4796 17.7854i 1.28132 0.930933i
\(366\) −37.7802 −1.97480
\(367\) 24.3785 1.27255 0.636274 0.771463i \(-0.280475\pi\)
0.636274 + 0.771463i \(0.280475\pi\)
\(368\) −1.06441 + 0.773338i −0.0554861 + 0.0403130i
\(369\) 0.250928 0.772277i 0.0130628 0.0402032i
\(370\) −20.9297 64.4149i −1.08808 3.34877i
\(371\) 1.09939 0.0570774
\(372\) −24.0208 + 11.2990i −1.24542 + 0.585828i
\(373\) 15.4558 0.800273 0.400137 0.916456i \(-0.368963\pi\)
0.400137 + 0.916456i \(0.368963\pi\)
\(374\) 8.83637 + 27.1956i 0.456918 + 1.40625i
\(375\) 3.96548 12.2045i 0.204777 0.630238i
\(376\) 1.52219 1.10594i 0.0785011 0.0570344i
\(377\) 4.64766 0.239367
\(378\) −18.0409 −0.927922
\(379\) 13.7678 10.0029i 0.707203 0.513813i −0.175067 0.984556i \(-0.556014\pi\)
0.882270 + 0.470744i \(0.156014\pi\)
\(380\) −25.9739 18.8711i −1.33243 0.968068i
\(381\) 17.5659 + 12.7623i 0.899926 + 0.653835i
\(382\) −2.35576 7.25028i −0.120531 0.370957i
\(383\) 12.5273 9.10162i 0.640115 0.465071i −0.219774 0.975551i \(-0.570532\pi\)
0.859890 + 0.510480i \(0.170532\pi\)
\(384\) −4.41595 13.5909i −0.225350 0.693557i
\(385\) 3.21011 9.87971i 0.163602 0.503517i
\(386\) 10.2232 + 7.42757i 0.520346 + 0.378053i
\(387\) −2.10338 + 6.47355i −0.106921 + 0.329069i
\(388\) 6.22154 19.1479i 0.315851 0.972088i
\(389\) −27.0772 19.6728i −1.37287 0.997449i −0.997507 0.0705718i \(-0.977518\pi\)
−0.375364 0.926877i \(-0.622482\pi\)
\(390\) 3.50502 10.7873i 0.177483 0.546238i
\(391\) 1.00432 + 3.09098i 0.0507906 + 0.156317i
\(392\) −2.29429 + 1.66690i −0.115879 + 0.0841909i
\(393\) 1.18909 + 3.65966i 0.0599819 + 0.184605i
\(394\) −19.3532 14.0609i −0.975000 0.708379i
\(395\) 19.1746 + 13.9312i 0.964779 + 0.700953i
\(396\) −2.98794 + 2.17087i −0.150150 + 0.109090i
\(397\) −14.4099 −0.723214 −0.361607 0.932331i \(-0.617772\pi\)
−0.361607 + 0.932331i \(0.617772\pi\)
\(398\) 5.13900 0.257595
\(399\) 14.9722 10.8779i 0.749545 0.544576i
\(400\) −2.35120 + 7.23625i −0.117560 + 0.361812i
\(401\) −1.86933 5.75321i −0.0933500 0.287302i 0.893470 0.449123i \(-0.148263\pi\)
−0.986820 + 0.161821i \(0.948263\pi\)
\(402\) 25.4820 1.27093
\(403\) −5.46899 1.04410i −0.272430 0.0520101i
\(404\) 36.1278 1.79742
\(405\) −9.17579 28.2402i −0.455949 1.40327i
\(406\) −6.04263 + 18.5973i −0.299891 + 0.922969i
\(407\) −17.7673 + 12.9087i −0.880694 + 0.639862i
\(408\) −13.1680 −0.651913
\(409\) −11.5955 −0.573359 −0.286680 0.958027i \(-0.592551\pi\)
−0.286680 + 0.958027i \(0.592551\pi\)
\(410\) 4.77490 3.46917i 0.235816 0.171330i
\(411\) 33.9379 + 24.6573i 1.67403 + 1.21626i
\(412\) 2.35480 + 1.71087i 0.116013 + 0.0842883i
\(413\) −4.83560 14.8825i −0.237945 0.732318i
\(414\) −0.617322 + 0.448511i −0.0303397 + 0.0220431i
\(415\) −7.96756 24.5216i −0.391112 1.20372i
\(416\) 2.47682 7.62286i 0.121436 0.373741i
\(417\) 20.0643 + 14.5775i 0.982551 + 0.713865i
\(418\) −5.84774 + 17.9975i −0.286022 + 0.880286i
\(419\) −7.40511 + 22.7906i −0.361763 + 1.11339i 0.590220 + 0.807242i \(0.299041\pi\)
−0.951983 + 0.306150i \(0.900959\pi\)
\(420\) 21.2390 + 15.4310i 1.03636 + 0.752956i
\(421\) −3.92072 + 12.0667i −0.191084 + 0.588096i 0.808916 + 0.587924i \(0.200055\pi\)
−1.00000 0.000171941i \(0.999945\pi\)
\(422\) −8.26945 25.4508i −0.402551 1.23892i
\(423\) −1.29679 + 0.942172i −0.0630520 + 0.0458100i
\(424\) −0.159971 0.492339i −0.00776886 0.0239101i
\(425\) 15.2056 + 11.0475i 0.737580 + 0.535883i
\(426\) −13.3143 9.67340i −0.645080 0.468678i
\(427\) 14.8381 10.7805i 0.718066 0.521705i
\(428\) −6.88579 −0.332837
\(429\) −3.67784 −0.177568
\(430\) −40.0252 + 29.0800i −1.93019 + 1.40236i
\(431\) 3.84416 11.8311i 0.185167 0.569884i −0.814785 0.579764i \(-0.803145\pi\)
0.999951 + 0.00987969i \(0.00314485\pi\)
\(432\) −3.85605 11.8677i −0.185524 0.570985i
\(433\) −6.94571 −0.333790 −0.166895 0.985975i \(-0.553374\pi\)
−0.166895 + 0.985975i \(0.553374\pi\)
\(434\) 11.2884 20.5263i 0.541859 0.985296i
\(435\) −25.0020 −1.19875
\(436\) 10.3316 + 31.7975i 0.494795 + 1.52282i
\(437\) −0.664638 + 2.04555i −0.0317940 + 0.0978517i
\(438\) 36.4643 26.4929i 1.74233 1.26588i
\(439\) −11.2778 −0.538259 −0.269129 0.963104i \(-0.586736\pi\)
−0.269129 + 0.963104i \(0.586736\pi\)
\(440\) −4.89153 −0.233194
\(441\) 1.95455 1.42006i 0.0930739 0.0676221i
\(442\) −12.2624 8.90916i −0.583263 0.423766i
\(443\) −20.1795 14.6613i −0.958756 0.696577i −0.00589468 0.999983i \(-0.501876\pi\)
−0.952862 + 0.303405i \(0.901876\pi\)
\(444\) −17.1508 52.7848i −0.813942 2.50505i
\(445\) −13.5615 + 9.85304i −0.642879 + 0.467079i
\(446\) −10.4834 32.2646i −0.496404 1.52777i
\(447\) −2.92392 + 8.99891i −0.138297 + 0.425634i
\(448\) 17.8862 + 12.9951i 0.845042 + 0.613959i
\(449\) −7.77100 + 23.9167i −0.366736 + 1.12870i 0.582150 + 0.813081i \(0.302212\pi\)
−0.948887 + 0.315617i \(0.897788\pi\)
\(450\) −1.36362 + 4.19679i −0.0642816 + 0.197839i
\(451\) −1.54828 1.12489i −0.0729056 0.0529690i
\(452\) 11.2191 34.5288i 0.527702 1.62410i
\(453\) 7.12556 + 21.9302i 0.334788 + 1.03037i
\(454\) 45.5548 33.0975i 2.13799 1.55334i
\(455\) 1.70156 + 5.23686i 0.0797703 + 0.245508i
\(456\) −7.05003 5.12215i −0.330148 0.239867i
\(457\) −27.8367 20.2245i −1.30215 0.946064i −0.302172 0.953254i \(-0.597712\pi\)
−0.999974 + 0.00718919i \(0.997712\pi\)
\(458\) −26.2296 + 19.0569i −1.22563 + 0.890471i
\(459\) −30.8247 −1.43877
\(460\) −3.05107 −0.142257
\(461\) −9.19325 + 6.67928i −0.428172 + 0.311085i −0.780918 0.624634i \(-0.785248\pi\)
0.352745 + 0.935719i \(0.385248\pi\)
\(462\) 4.78172 14.7166i 0.222466 0.684680i
\(463\) 9.82826 + 30.2483i 0.456758 + 1.40576i 0.869059 + 0.494709i \(0.164725\pi\)
−0.412301 + 0.911048i \(0.635275\pi\)
\(464\) −13.5253 −0.627896
\(465\) 29.4204 + 5.61670i 1.36434 + 0.260468i
\(466\) −23.5128 −1.08921
\(467\) 8.52189 + 26.2277i 0.394346 + 1.21367i 0.929470 + 0.368899i \(0.120265\pi\)
−0.535123 + 0.844774i \(0.679735\pi\)
\(468\) 0.604956 1.86186i 0.0279641 0.0860646i
\(469\) −10.0080 + 7.27126i −0.462128 + 0.335755i
\(470\) −11.6507 −0.537406
\(471\) −4.97861 −0.229402
\(472\) −5.96119 + 4.33106i −0.274386 + 0.199353i
\(473\) 12.9783 + 9.42929i 0.596743 + 0.433559i
\(474\) 28.5621 + 20.7516i 1.31190 + 0.953153i
\(475\) 3.84363 + 11.8295i 0.176358 + 0.542774i
\(476\) 28.3820 20.6208i 1.30089 0.945151i
\(477\) 0.136282 + 0.419434i 0.00623994 + 0.0192046i
\(478\) 18.5520 57.0971i 0.848548 2.61156i
\(479\) 20.9372 + 15.2118i 0.956647 + 0.695045i 0.952370 0.304946i \(-0.0986384\pi\)
0.00427758 + 0.999991i \(0.498638\pi\)
\(480\) −13.3240 + 41.0070i −0.608154 + 1.87171i
\(481\) 3.59727 11.0713i 0.164022 0.504806i
\(482\) −33.6563 24.4528i −1.53300 1.11379i
\(483\) 0.543478 1.67265i 0.0247291 0.0761084i
\(484\) −5.62337 17.3070i −0.255608 0.786680i
\(485\) −18.3782 + 13.3525i −0.834510 + 0.606307i
\(486\) −5.28666 16.2707i −0.239808 0.738052i
\(487\) −20.4557 14.8620i −0.926938 0.673460i 0.0183034 0.999832i \(-0.494174\pi\)
−0.945241 + 0.326373i \(0.894174\pi\)
\(488\) −6.98691 5.07628i −0.316282 0.229793i
\(489\) 22.7358 16.5185i 1.02815 0.746994i
\(490\) 17.5602 0.793288
\(491\) −14.1436 −0.638290 −0.319145 0.947706i \(-0.603396\pi\)
−0.319145 + 0.947706i \(0.603396\pi\)
\(492\) 3.91279 2.84281i 0.176402 0.128164i
\(493\) −10.3245 + 31.7754i −0.464991 + 1.43109i
\(494\) −3.09966 9.53978i −0.139460 0.429215i
\(495\) 4.16720 0.187302
\(496\) 15.9155 + 3.03845i 0.714626 + 0.136431i
\(497\) 7.98945 0.358376
\(498\) −11.8683 36.5270i −0.531833 1.63681i
\(499\) 9.54126 29.3650i 0.427126 1.31456i −0.473819 0.880622i \(-0.657125\pi\)
0.900944 0.433935i \(-0.142875\pi\)
\(500\) 13.0240 9.46249i 0.582451 0.423176i
\(501\) 4.48989 0.200594
\(502\) 50.4987 2.25387
\(503\) 22.0543 16.0234i 0.983353 0.714448i 0.0248974 0.999690i \(-0.492074\pi\)
0.958455 + 0.285242i \(0.0920741\pi\)
\(504\) 1.21422 + 0.882185i 0.0540858 + 0.0392957i
\(505\) −32.9783 23.9602i −1.46752 1.06621i
\(506\) 0.555726 + 1.71035i 0.0247050 + 0.0760343i
\(507\) 1.57716 1.14588i 0.0700443 0.0508902i
\(508\) 8.41719 + 25.9054i 0.373452 + 1.14937i
\(509\) 5.90346 18.1690i 0.261666 0.805325i −0.730777 0.682617i \(-0.760842\pi\)
0.992443 0.122709i \(-0.0391581\pi\)
\(510\) 65.9655 + 47.9267i 2.92100 + 2.12223i
\(511\) −6.76160 + 20.8101i −0.299115 + 0.920583i
\(512\) −8.89781 + 27.3846i −0.393231 + 1.21024i
\(513\) −16.5033 11.9903i −0.728637 0.529386i
\(514\) −12.7041 + 39.0993i −0.560355 + 1.72460i
\(515\) −1.01487 3.12344i −0.0447204 0.137635i
\(516\) −32.7986 + 23.8296i −1.44388 + 1.04904i
\(517\) 1.16740 + 3.59288i 0.0513420 + 0.158014i
\(518\) 39.6240 + 28.7885i 1.74098 + 1.26490i
\(519\) −5.71127 4.14948i −0.250697 0.182142i
\(520\) 2.09763 1.52402i 0.0919871 0.0668326i
\(521\) 24.6713 1.08087 0.540435 0.841386i \(-0.318260\pi\)
0.540435 + 0.841386i \(0.318260\pi\)
\(522\) −7.84423 −0.343333
\(523\) −2.66849 + 1.93877i −0.116685 + 0.0847767i −0.644597 0.764522i \(-0.722975\pi\)
0.527912 + 0.849299i \(0.322975\pi\)
\(524\) −1.49173 + 4.59107i −0.0651664 + 0.200562i
\(525\) −3.14296 9.67303i −0.137170 0.422166i
\(526\) −34.2817 −1.49475
\(527\) 19.2874 35.0714i 0.840170 1.52773i
\(528\) 10.7030 0.465788
\(529\) −7.04423 21.6799i −0.306271 0.942605i
\(530\) −0.990557 + 3.04862i −0.0430271 + 0.132424i
\(531\) 5.07847 3.68972i 0.220387 0.160120i
\(532\) 23.2167 1.00657
\(533\) 1.01442 0.0439394
\(534\) −20.2010 + 14.6769i −0.874184 + 0.635132i
\(535\) 6.28552 + 4.56670i 0.271747 + 0.197435i
\(536\) 4.71254 + 3.42386i 0.203551 + 0.147888i
\(537\) −4.71708 14.5177i −0.203557 0.626483i
\(538\) 15.6543 11.3735i 0.674906 0.490348i
\(539\) −1.75953 5.41527i −0.0757882 0.233252i
\(540\) 8.94219 27.5212i 0.384810 1.18432i
\(541\) 25.1128 + 18.2455i 1.07969 + 0.784437i 0.977628 0.210341i \(-0.0674575\pi\)
0.102057 + 0.994779i \(0.467458\pi\)
\(542\) −13.9391 + 42.9003i −0.598738 + 1.84273i
\(543\) 3.62241 11.1486i 0.155452 0.478433i
\(544\) 46.6144 + 33.8674i 1.99858 + 1.45205i
\(545\) 11.6573 35.8775i 0.499344 1.53682i
\(546\) 2.53461 + 7.80073i 0.108471 + 0.333840i
\(547\) −31.6328 + 22.9825i −1.35252 + 0.982663i −0.353638 + 0.935383i \(0.615055\pi\)
−0.998882 + 0.0472802i \(0.984945\pi\)
\(548\) 16.2623 + 50.0503i 0.694692 + 2.13804i
\(549\) 5.95230 + 4.32460i 0.254038 + 0.184569i
\(550\) 8.41381 + 6.11299i 0.358766 + 0.260659i
\(551\) −17.8878 + 12.9962i −0.762046 + 0.553658i
\(552\) −0.828145 −0.0352482
\(553\) −17.1392 −0.728831
\(554\) −14.0353 + 10.1972i −0.596301 + 0.433238i
\(555\) −19.3515 + 59.5577i −0.821425 + 2.52809i
\(556\) 9.61437 + 29.5900i 0.407740 + 1.25490i
\(557\) −26.3462 −1.11632 −0.558162 0.829732i \(-0.688493\pi\)
−0.558162 + 0.829732i \(0.688493\pi\)
\(558\) 9.23046 + 1.76221i 0.390757 + 0.0746001i
\(559\) −8.50329 −0.359651
\(560\) −4.95176 15.2399i −0.209250 0.644005i
\(561\) 8.17008 25.1449i 0.344941 1.06162i
\(562\) 24.6988 17.9447i 1.04185 0.756952i
\(563\) 9.54590 0.402312 0.201156 0.979559i \(-0.435530\pi\)
0.201156 + 0.979559i \(0.435530\pi\)
\(564\) −9.54715 −0.402008
\(565\) −33.1408 + 24.0782i −1.39424 + 1.01298i
\(566\) −51.4694 37.3947i −2.16342 1.57182i
\(567\) 17.3716 + 12.6212i 0.729538 + 0.530040i
\(568\) −1.16254 3.57792i −0.0487789 0.150126i
\(569\) −28.6495 + 20.8151i −1.20105 + 0.872615i −0.994388 0.105797i \(-0.966261\pi\)
−0.206664 + 0.978412i \(0.566261\pi\)
\(570\) 16.6746 + 51.3191i 0.698422 + 2.14952i
\(571\) −5.87529 + 18.0823i −0.245873 + 0.756720i 0.749618 + 0.661870i \(0.230237\pi\)
−0.995492 + 0.0948498i \(0.969763\pi\)
\(572\) −3.73270 2.71197i −0.156072 0.113393i
\(573\) −2.17813 + 6.70358i −0.0909925 + 0.280046i
\(574\) −1.31889 + 4.05914i −0.0550496 + 0.169425i
\(575\) 0.956291 + 0.694786i 0.0398801 + 0.0289746i
\(576\) −2.74062 + 8.43475i −0.114192 + 0.351448i
\(577\) −5.79191 17.8257i −0.241120 0.742092i −0.996250 0.0865171i \(-0.972426\pi\)
0.755130 0.655575i \(-0.227574\pi\)
\(578\) 59.1526 42.9769i 2.46042 1.78760i
\(579\) −3.61046 11.1118i −0.150045 0.461793i
\(580\) −25.3750 18.4360i −1.05364 0.765513i
\(581\) 15.0842 + 10.9593i 0.625797 + 0.454668i
\(582\) −27.3758 + 19.8897i −1.13476 + 0.824454i
\(583\) 1.03940 0.0430475
\(584\) 10.3032 0.426351
\(585\) −1.78702 + 1.29834i −0.0738840 + 0.0536799i
\(586\) 13.4038 41.2527i 0.553706 1.70413i
\(587\) 0.729391 + 2.24484i 0.0301052 + 0.0926543i 0.964980 0.262323i \(-0.0844886\pi\)
−0.934875 + 0.354977i \(0.884489\pi\)
\(588\) 14.3897 0.593421
\(589\) 23.9685 11.2744i 0.987606 0.464555i
\(590\) 45.6262 1.87840
\(591\) 6.83486 + 21.0355i 0.281149 + 0.865286i
\(592\) −10.4685 + 32.2188i −0.430254 + 1.32419i
\(593\) 18.7746 13.6406i 0.770981 0.560151i −0.131278 0.991346i \(-0.541908\pi\)
0.902259 + 0.431195i \(0.141908\pi\)
\(594\) −17.0564 −0.699834
\(595\) −39.5836 −1.62277
\(596\) −9.60316 + 6.97711i −0.393361 + 0.285793i
\(597\) −3.84405 2.79286i −0.157326 0.114304i
\(598\) −0.771192 0.560304i −0.0315364 0.0229125i
\(599\) 14.9570 + 46.0330i 0.611128 + 1.88086i 0.447341 + 0.894363i \(0.352371\pi\)
0.163787 + 0.986496i \(0.447629\pi\)
\(600\) −3.87455 + 2.81502i −0.158178 + 0.114923i
\(601\) −8.26433 25.4350i −0.337109 1.03752i −0.965674 0.259758i \(-0.916357\pi\)
0.628565 0.777757i \(-0.283643\pi\)
\(602\) 11.0555 34.0254i 0.450589 1.38677i
\(603\) −4.01472 2.91686i −0.163492 0.118784i
\(604\) −8.93907 + 27.5116i −0.363725 + 1.11943i
\(605\) −6.34492 + 19.5277i −0.257958 + 0.793912i
\(606\) −49.1239 35.6906i −1.99552 1.44983i
\(607\) 0.0268380 0.0825990i 0.00108932 0.00335259i −0.950510 0.310693i \(-0.899439\pi\)
0.951600 + 0.307340i \(0.0994390\pi\)
\(608\) 11.7831 + 36.2646i 0.477867 + 1.47072i
\(609\) 14.6269 10.6271i 0.592714 0.430632i
\(610\) 16.5253 + 50.8596i 0.669089 + 2.05924i
\(611\) −1.62002 1.17701i −0.0655390 0.0476168i
\(612\) 11.3854 + 8.27201i 0.460230 + 0.334376i
\(613\) 2.03426 1.47797i 0.0821628 0.0596948i −0.545946 0.837821i \(-0.683829\pi\)
0.628108 + 0.778126i \(0.283829\pi\)
\(614\) 0.457556 0.0184654
\(615\) −5.45706 −0.220050
\(616\) 2.86169 2.07914i 0.115301 0.0837710i
\(617\) 4.64464 14.2947i 0.186986 0.575484i −0.812991 0.582276i \(-0.802162\pi\)
0.999977 + 0.00679259i \(0.00216217\pi\)
\(618\) −1.51173 4.65262i −0.0608106 0.187156i
\(619\) −11.6483 −0.468186 −0.234093 0.972214i \(-0.575212\pi\)
−0.234093 + 0.972214i \(0.575212\pi\)
\(620\) 25.7176 + 27.3945i 1.03284 + 1.10019i
\(621\) −1.93859 −0.0777928
\(622\) −11.3329 34.8790i −0.454406 1.39852i
\(623\) 3.74589 11.5287i 0.150076 0.461886i
\(624\) −4.58975 + 3.33465i −0.183737 + 0.133493i
\(625\) −31.2369 −1.24948
\(626\) 7.02210 0.280660
\(627\) 14.1552 10.2843i 0.565303 0.410717i
\(628\) −5.05288 3.67113i −0.201632 0.146494i
\(629\) 67.7018 + 49.1882i 2.69945 + 1.96126i
\(630\) −2.87186 8.83867i −0.114418 0.352141i
\(631\) 3.25497 2.36487i 0.129578 0.0941441i −0.521108 0.853491i \(-0.674481\pi\)
0.650687 + 0.759346i \(0.274481\pi\)
\(632\) 2.49390 + 7.67543i 0.0992019 + 0.305312i
\(633\) −7.64590 + 23.5317i −0.303897 + 0.935300i
\(634\) 9.94113 + 7.22265i 0.394813 + 0.286848i
\(635\) 9.49722 29.2295i 0.376886 1.15994i
\(636\) −0.811712 + 2.49819i −0.0321865 + 0.0990598i
\(637\) 2.44173 + 1.77402i 0.0967449 + 0.0702893i
\(638\) −5.71290 + 17.5825i −0.226176 + 0.696098i
\(639\) 0.990389 + 3.04810i 0.0391792 + 0.120581i
\(640\) −16.3645 + 11.8895i −0.646862 + 0.469973i
\(641\) −13.0044 40.0233i −0.513641 1.58082i −0.785741 0.618556i \(-0.787718\pi\)
0.272100 0.962269i \(-0.412282\pi\)
\(642\) 9.36279 + 6.80247i 0.369520 + 0.268472i
\(643\) −19.9826 14.5182i −0.788038 0.572543i 0.119343 0.992853i \(-0.461921\pi\)
−0.907381 + 0.420310i \(0.861921\pi\)
\(644\) 1.78497 1.29686i 0.0703376 0.0511033i
\(645\) 45.7433 1.80114
\(646\) 72.1080 2.83705
\(647\) −16.6577 + 12.1025i −0.654881 + 0.475799i −0.864930 0.501892i \(-0.832637\pi\)
0.210050 + 0.977691i \(0.432637\pi\)
\(648\) 3.12443 9.61601i 0.122739 0.377753i
\(649\) −4.57174 14.0704i −0.179457 0.552310i
\(650\) −5.51267 −0.216225
\(651\) −19.5992 + 9.21917i −0.768153 + 0.361328i
\(652\) 35.2554 1.38071
\(653\) 6.78935 + 20.8955i 0.265688 + 0.817702i 0.991534 + 0.129846i \(0.0414482\pi\)
−0.725847 + 0.687857i \(0.758552\pi\)
\(654\) 17.3645 53.4425i 0.679006 2.08977i
\(655\) 4.40651 3.20151i 0.172176 0.125093i
\(656\) −2.95210 −0.115260
\(657\) −8.77755 −0.342445
\(658\) 6.81600 4.95212i 0.265715 0.193054i
\(659\) 7.36917 + 5.35401i 0.287062 + 0.208563i 0.721992 0.691902i \(-0.243227\pi\)
−0.434930 + 0.900464i \(0.643227\pi\)
\(660\) 20.0800 + 14.5890i 0.781614 + 0.567876i
\(661\) −9.80595 30.1796i −0.381407 1.17385i −0.939053 0.343772i \(-0.888295\pi\)
0.557646 0.830079i \(-0.311705\pi\)
\(662\) 53.1038 38.5821i 2.06394 1.49954i
\(663\) 4.33065 + 13.3284i 0.168188 + 0.517630i
\(664\) 2.71302 8.34982i 0.105286 0.324036i
\(665\) −21.1927 15.3974i −0.821819 0.597086i
\(666\) −6.07141 + 18.6859i −0.235262 + 0.724063i
\(667\) −0.649314 + 1.99838i −0.0251415 + 0.0773776i
\(668\) 4.55687 + 3.31076i 0.176311 + 0.128097i
\(669\) −9.69292 + 29.8318i −0.374750 + 1.15336i
\(670\) −11.1460 34.3039i −0.430608 1.32527i
\(671\) 14.0284 10.1922i 0.541561 0.393467i
\(672\) −9.63508 29.6537i −0.371681 1.14392i
\(673\) −18.1872 13.2138i −0.701066 0.509354i 0.179213 0.983810i \(-0.442645\pi\)
−0.880279 + 0.474456i \(0.842645\pi\)
\(674\) −52.2249 37.9436i −2.01163 1.46153i
\(675\) −9.06984 + 6.58963i −0.349098 + 0.253635i
\(676\) 2.44564 0.0940630
\(677\) 24.2154 0.930673 0.465336 0.885134i \(-0.345933\pi\)
0.465336 + 0.885134i \(0.345933\pi\)
\(678\) −49.3659 + 35.8664i −1.89588 + 1.37744i
\(679\) 5.07631 15.6233i 0.194811 0.599566i
\(680\) 5.75976 + 17.7267i 0.220877 + 0.679789i
\(681\) −52.0629 −1.99506
\(682\) 10.6724 19.4063i 0.408667 0.743105i
\(683\) −43.6989 −1.67209 −0.836046 0.548659i \(-0.815138\pi\)
−0.836046 + 0.548659i \(0.815138\pi\)
\(684\) 2.87799 + 8.85753i 0.110043 + 0.338676i
\(685\) 18.3490 56.4724i 0.701079 2.15770i
\(686\) −34.1000 + 24.7751i −1.30195 + 0.945918i
\(687\) 29.9769 1.14369
\(688\) 24.7457 0.943420
\(689\) −0.445724 + 0.323837i −0.0169807 + 0.0123372i
\(690\) 4.14862 + 3.01415i 0.157935 + 0.114747i
\(691\) −1.69123 1.22875i −0.0643375 0.0467440i 0.555152 0.831749i \(-0.312660\pi\)
−0.619489 + 0.785005i \(0.712660\pi\)
\(692\) −2.73672 8.42276i −0.104034 0.320185i
\(693\) −2.43794 + 1.77127i −0.0926096 + 0.0672848i
\(694\) −4.96845 15.2913i −0.188600 0.580450i
\(695\) 10.8480 33.3868i 0.411489 1.26643i
\(696\) −6.88748 5.00405i −0.261069 0.189678i
\(697\) −2.25347 + 6.93546i −0.0853562 + 0.262699i
\(698\) −22.1833 + 68.2732i −0.839650 + 2.58418i
\(699\) 17.5879 + 12.7784i 0.665236 + 0.483322i
\(700\) 3.94286 12.1349i 0.149026 0.458656i
\(701\) 0.688551 + 2.11914i 0.0260062 + 0.0800389i 0.963217 0.268724i \(-0.0866019\pi\)
−0.937211 + 0.348763i \(0.886602\pi\)
\(702\) 7.31429 5.31414i 0.276060 0.200569i
\(703\) 17.1135 + 52.6699i 0.645447 + 1.98648i
\(704\) 16.9102 + 12.2860i 0.637326 + 0.463044i
\(705\) 8.71487 + 6.33172i 0.328221 + 0.238466i
\(706\) 29.0300 21.0915i 1.09256 0.793791i
\(707\) 29.4776 1.10862
\(708\) 37.3884 1.40514
\(709\) 42.6350 30.9761i 1.60119 1.16333i 0.716002 0.698098i \(-0.245970\pi\)
0.885188 0.465234i \(-0.154030\pi\)
\(710\) −7.19856 + 22.1549i −0.270157 + 0.831458i
\(711\) −2.12461 6.53886i −0.0796789 0.245227i
\(712\) −5.70794 −0.213914
\(713\) 1.21300 2.20567i 0.0454271 0.0826029i
\(714\) −58.9631 −2.20664
\(715\) 1.60871 + 4.95110i 0.0601623 + 0.185161i
\(716\) 5.91760 18.2125i 0.221151 0.680634i
\(717\) −44.9074 + 32.6271i −1.67710 + 1.21848i
\(718\) 4.44355 0.165832
\(719\) 0.782506 0.0291825 0.0145913 0.999894i \(-0.495355\pi\)
0.0145913 + 0.999894i \(0.495355\pi\)
\(720\) 5.20045 3.77835i 0.193809 0.140811i
\(721\) 1.92134 + 1.39594i 0.0715546 + 0.0519875i
\(722\) 6.19603 + 4.50168i 0.230592 + 0.167535i
\(723\) 11.8862 + 36.5820i 0.442053 + 1.36050i
\(724\) 11.8972 8.64384i 0.442157 0.321246i
\(725\) 3.75501 + 11.5567i 0.139458 + 0.429206i
\(726\) −9.45128 + 29.0881i −0.350770 + 1.07956i
\(727\) −7.84178 5.69738i −0.290835 0.211304i 0.432794 0.901493i \(-0.357528\pi\)
−0.723630 + 0.690188i \(0.757528\pi\)
\(728\) −0.579395 + 1.78319i −0.0214738 + 0.0660895i
\(729\) 5.08767 15.6582i 0.188432 0.579934i
\(730\) −51.6144 37.5000i −1.91033 1.38794i
\(731\) 18.8895 58.1359i 0.698653 2.15023i
\(732\) 13.5416 + 41.6769i 0.500514 + 1.54042i
\(733\) −7.86856 + 5.71684i −0.290632 + 0.211156i −0.723541 0.690281i \(-0.757487\pi\)
0.432910 + 0.901437i \(0.357487\pi\)
\(734\) −15.8839 48.8855i −0.586284 1.80440i
\(735\) −13.1353 9.54333i −0.484501 0.352011i
\(736\) 2.93162 + 2.12994i 0.108061 + 0.0785108i
\(737\) −9.46192 + 6.87449i −0.348534 + 0.253225i
\(738\) −1.71212 −0.0630240
\(739\) 46.4766 1.70967 0.854834 0.518901i \(-0.173659\pi\)
0.854834 + 0.518901i \(0.173659\pi\)
\(740\) −63.5569 + 46.1768i −2.33640 + 1.69749i
\(741\) −2.86594 + 8.82044i −0.105283 + 0.324027i
\(742\) −0.716309 2.20457i −0.0262965 0.0809324i
\(743\) −22.1138 −0.811276 −0.405638 0.914034i \(-0.632951\pi\)
−0.405638 + 0.914034i \(0.632951\pi\)
\(744\) 6.98047 + 7.43563i 0.255917 + 0.272603i
\(745\) 13.3933 0.490691
\(746\) −10.0703 30.9932i −0.368700 1.13474i
\(747\) −2.31128 + 7.11339i −0.0845654 + 0.260265i
\(748\) 26.8333 19.4956i 0.981124 0.712828i
\(749\) −5.61829 −0.205288
\(750\) −27.0571 −0.987985
\(751\) −27.3007 + 19.8351i −0.996218 + 0.723795i −0.961274 0.275595i \(-0.911125\pi\)
−0.0349439 + 0.999389i \(0.511125\pi\)
\(752\) 4.71447 + 3.42526i 0.171919 + 0.124906i
\(753\) −37.7737 27.4442i −1.37655 1.00012i
\(754\) −3.02819 9.31982i −0.110280 0.339408i
\(755\) 26.4057 19.1848i 0.961000 0.698207i
\(756\) 6.46643 + 19.9016i 0.235182 + 0.723815i
\(757\) −7.57030 + 23.2990i −0.275147 + 0.846816i 0.714033 + 0.700112i \(0.246867\pi\)
−0.989180 + 0.146704i \(0.953133\pi\)
\(758\) −29.0289 21.0907i −1.05438 0.766050i
\(759\) 0.513822 1.58138i 0.0186506 0.0574005i
\(760\) −3.81170 + 11.7312i −0.138265 + 0.425535i
\(761\) −34.9386 25.3844i −1.26652 0.920183i −0.267465 0.963567i \(-0.586186\pi\)
−0.999058 + 0.0433840i \(0.986186\pi\)
\(762\) 14.1469 43.5397i 0.512488 1.57728i
\(763\) 8.42983 + 25.9444i 0.305180 + 0.939249i
\(764\) −7.15371 + 5.19747i −0.258812 + 0