Properties

Label 384.2.v.a.157.4
Level $384$
Weight $2$
Character 384.157
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 157.4
Character \(\chi\) \(=\) 384.157
Dual form 384.2.v.a.181.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.28206 + 0.596933i) q^{2} +(-0.0980171 + 0.995185i) q^{3} +(1.28734 - 1.53060i) q^{4} +(-0.434364 + 0.232173i) q^{5} +(-0.468395 - 1.33439i) q^{6} +(-0.519029 - 2.60933i) q^{7} +(-0.736779 + 2.73078i) q^{8} +(-0.980785 - 0.195090i) q^{9} +O(q^{10})\) \(q+(-1.28206 + 0.596933i) q^{2} +(-0.0980171 + 0.995185i) q^{3} +(1.28734 - 1.53060i) q^{4} +(-0.434364 + 0.232173i) q^{5} +(-0.468395 - 1.33439i) q^{6} +(-0.519029 - 2.60933i) q^{7} +(-0.736779 + 2.73078i) q^{8} +(-0.980785 - 0.195090i) q^{9} +(0.418289 - 0.556945i) q^{10} +(0.916620 - 1.11690i) q^{11} +(1.39705 + 1.43117i) q^{12} +(1.88580 - 3.52808i) q^{13} +(2.22302 + 3.03549i) q^{14} +(-0.188479 - 0.455030i) q^{15} +(-0.685499 - 3.94082i) q^{16} +(0.865395 - 2.08925i) q^{17} +(1.37388 - 0.335346i) q^{18} +(-0.820463 - 2.70471i) q^{19} +(-0.203811 + 0.963726i) q^{20} +(2.64764 - 0.260770i) q^{21} +(-0.508442 + 1.97910i) q^{22} +(-1.61348 + 1.07809i) q^{23} +(-2.64541 - 1.00089i) q^{24} +(-2.64308 + 3.95565i) q^{25} +(-0.311674 + 5.64889i) q^{26} +(0.290285 - 0.956940i) q^{27} +(-4.66203 - 2.56468i) q^{28} +(6.40700 - 5.25809i) q^{29} +(0.513264 + 0.470865i) q^{30} +(4.65187 - 4.65187i) q^{31} +(3.23126 + 4.64317i) q^{32} +(1.02168 + 1.02168i) q^{33} +(0.137655 + 3.19512i) q^{34} +(0.831264 + 1.01290i) q^{35} +(-1.56121 + 1.25005i) q^{36} +(6.97766 + 2.11665i) q^{37} +(2.66641 + 2.97783i) q^{38} +(3.32625 + 2.22253i) q^{39} +(-0.313982 - 1.35721i) q^{40} +(5.57407 + 8.34219i) q^{41} +(-3.23877 + 1.91479i) q^{42} +(-0.656241 - 6.66293i) q^{43} +(-0.529535 - 2.84082i) q^{44} +(0.471313 - 0.142971i) q^{45} +(1.42502 - 2.34532i) q^{46} +(-7.80396 - 3.23250i) q^{47} +(3.98904 - 0.295930i) q^{48} +(-0.0720787 + 0.0298560i) q^{49} +(1.02732 - 6.64912i) q^{50} +(1.99436 + 1.06601i) q^{51} +(-2.97242 - 7.42825i) q^{52} +(-1.88878 - 1.55008i) q^{53} +(0.199067 + 1.40013i) q^{54} +(-0.138832 + 0.697957i) q^{55} +(7.50793 + 0.505149i) q^{56} +(2.77210 - 0.551405i) q^{57} +(-5.07541 + 10.5657i) q^{58} +(-1.29781 - 2.42803i) q^{59} +(-0.939108 - 0.297292i) q^{60} +(5.00881 + 0.493324i) q^{61} +(-3.18711 + 8.74081i) q^{62} +2.66045i q^{63} +(-6.91431 - 4.02396i) q^{64} +1.97030i q^{65} +(-1.91973 - 0.699979i) q^{66} +(-5.17367 - 0.509562i) q^{67} +(-2.08375 - 4.01416i) q^{68} +(-0.914753 - 1.71138i) q^{69} +(-1.67036 - 0.802384i) q^{70} +(1.15091 - 0.228930i) q^{71} +(1.25537 - 2.53457i) q^{72} +(-1.75052 + 8.80047i) q^{73} +(-10.2093 + 1.45153i) q^{74} +(-3.67754 - 3.01808i) q^{75} +(-5.19605 - 2.22608i) q^{76} +(-3.39013 - 1.81206i) q^{77} +(-5.59114 - 0.863861i) q^{78} +(-0.912975 + 0.378167i) q^{79} +(1.21271 + 1.55260i) q^{80} +(0.923880 + 0.382683i) q^{81} +(-12.1260 - 7.36782i) q^{82} +(-6.02031 + 1.82624i) q^{83} +(3.00929 - 4.38820i) q^{84} +(0.109169 + 1.10842i) q^{85} +(4.81866 + 8.15052i) q^{86} +(4.60477 + 6.89153i) q^{87} +(2.37467 + 3.32600i) q^{88} +(-15.5192 - 10.3696i) q^{89} +(-0.518906 + 0.464639i) q^{90} +(-10.1847 - 3.08950i) q^{91} +(-0.426968 + 3.85747i) q^{92} +(4.17350 + 5.08543i) q^{93} +(11.9347 - 0.514181i) q^{94} +(0.984339 + 0.984339i) q^{95} +(-4.93753 + 2.76059i) q^{96} +(4.43740 - 4.43740i) q^{97} +(0.0745870 - 0.0813032i) q^{98} +(-1.11690 + 0.916620i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{27}{32}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.28206 + 0.596933i −0.906551 + 0.422095i
\(3\) −0.0980171 + 0.995185i −0.0565902 + 0.574570i
\(4\) 1.28734 1.53060i 0.643671 0.765302i
\(5\) −0.434364 + 0.232173i −0.194254 + 0.103831i −0.565656 0.824641i \(-0.691377\pi\)
0.371402 + 0.928472i \(0.378877\pi\)
\(6\) −0.468395 1.33439i −0.191221 0.544764i
\(7\) −0.519029 2.60933i −0.196174 0.986236i −0.945893 0.324479i \(-0.894811\pi\)
0.749718 0.661757i \(-0.230189\pi\)
\(8\) −0.736779 + 2.73078i −0.260491 + 0.965476i
\(9\) −0.980785 0.195090i −0.326928 0.0650301i
\(10\) 0.418289 0.556945i 0.132274 0.176121i
\(11\) 0.916620 1.11690i 0.276371 0.336759i −0.616263 0.787540i \(-0.711354\pi\)
0.892635 + 0.450781i \(0.148854\pi\)
\(12\) 1.39705 + 1.43117i 0.403294 + 0.413143i
\(13\) 1.88580 3.52808i 0.523026 0.978512i −0.472254 0.881463i \(-0.656559\pi\)
0.995280 0.0970497i \(-0.0309406\pi\)
\(14\) 2.22302 + 3.03549i 0.594128 + 0.811269i
\(15\) −0.188479 0.455030i −0.0486652 0.117488i
\(16\) −0.685499 3.94082i −0.171375 0.985206i
\(17\) 0.865395 2.08925i 0.209889 0.506717i −0.783516 0.621371i \(-0.786576\pi\)
0.993405 + 0.114654i \(0.0365759\pi\)
\(18\) 1.37388 0.335346i 0.323826 0.0790418i
\(19\) −0.820463 2.70471i −0.188227 0.620502i −0.999364 0.0356461i \(-0.988651\pi\)
0.811137 0.584856i \(-0.198849\pi\)
\(20\) −0.203811 + 0.963726i −0.0455736 + 0.215496i
\(21\) 2.64764 0.260770i 0.577763 0.0569047i
\(22\) −0.508442 + 1.97910i −0.108400 + 0.421945i
\(23\) −1.61348 + 1.07809i −0.336434 + 0.224798i −0.712298 0.701877i \(-0.752346\pi\)
0.375865 + 0.926675i \(0.377346\pi\)
\(24\) −2.64541 1.00089i −0.539993 0.204307i
\(25\) −2.64308 + 3.95565i −0.528617 + 0.791131i
\(26\) −0.311674 + 5.64889i −0.0611243 + 1.10784i
\(27\) 0.290285 0.956940i 0.0558653 0.184163i
\(28\) −4.66203 2.56468i −0.881040 0.484679i
\(29\) 6.40700 5.25809i 1.18975 0.976402i 0.189764 0.981830i \(-0.439228\pi\)
0.999985 + 0.00542747i \(0.00172763\pi\)
\(30\) 0.513264 + 0.470865i 0.0937087 + 0.0859677i
\(31\) 4.65187 4.65187i 0.835500 0.835500i −0.152763 0.988263i \(-0.548817\pi\)
0.988263 + 0.152763i \(0.0488171\pi\)
\(32\) 3.23126 + 4.64317i 0.571211 + 0.820803i
\(33\) 1.02168 + 1.02168i 0.177852 + 0.177852i
\(34\) 0.137655 + 3.19512i 0.0236076 + 0.547958i
\(35\) 0.831264 + 1.01290i 0.140509 + 0.171211i
\(36\) −1.56121 + 1.25005i −0.260202 + 0.208341i
\(37\) 6.97766 + 2.11665i 1.14712 + 0.347975i 0.805925 0.592017i \(-0.201668\pi\)
0.341195 + 0.939992i \(0.389168\pi\)
\(38\) 2.66641 + 2.97783i 0.432549 + 0.483067i
\(39\) 3.32625 + 2.22253i 0.532626 + 0.355889i
\(40\) −0.313982 1.35721i −0.0496449 0.214594i
\(41\) 5.57407 + 8.34219i 0.870524 + 1.30283i 0.951982 + 0.306155i \(0.0990424\pi\)
−0.0814577 + 0.996677i \(0.525958\pi\)
\(42\) −3.23877 + 1.91479i −0.499753 + 0.295458i
\(43\) −0.656241 6.66293i −0.100076 1.01609i −0.905774 0.423761i \(-0.860710\pi\)
0.805698 0.592326i \(-0.201790\pi\)
\(44\) −0.529535 2.84082i −0.0798304 0.428270i
\(45\) 0.471313 0.142971i 0.0702592 0.0213129i
\(46\) 1.42502 2.34532i 0.210108 0.345798i
\(47\) −7.80396 3.23250i −1.13832 0.471509i −0.267722 0.963496i \(-0.586271\pi\)
−0.870602 + 0.491987i \(0.836271\pi\)
\(48\) 3.98904 0.295930i 0.575768 0.0427138i
\(49\) −0.0720787 + 0.0298560i −0.0102970 + 0.00426514i
\(50\) 1.02732 6.64912i 0.145286 0.940327i
\(51\) 1.99436 + 1.06601i 0.279267 + 0.149271i
\(52\) −2.97242 7.42825i −0.412201 1.03011i
\(53\) −1.88878 1.55008i −0.259444 0.212920i 0.495675 0.868508i \(-0.334921\pi\)
−0.755119 + 0.655588i \(0.772421\pi\)
\(54\) 0.199067 + 1.40013i 0.0270897 + 0.190534i
\(55\) −0.138832 + 0.697957i −0.0187202 + 0.0941126i
\(56\) 7.50793 + 0.505149i 1.00329 + 0.0675034i
\(57\) 2.77210 0.551405i 0.367174 0.0730354i
\(58\) −5.07541 + 10.5657i −0.666434 + 1.38735i
\(59\) −1.29781 2.42803i −0.168961 0.316103i 0.783163 0.621816i \(-0.213605\pi\)
−0.952124 + 0.305714i \(0.901105\pi\)
\(60\) −0.939108 0.297292i −0.121238 0.0383802i
\(61\) 5.00881 + 0.493324i 0.641312 + 0.0631637i 0.413446 0.910529i \(-0.364325\pi\)
0.227866 + 0.973692i \(0.426825\pi\)
\(62\) −3.18711 + 8.74081i −0.404763 + 1.11008i
\(63\) 2.66045i 0.335186i
\(64\) −6.91431 4.02396i −0.864289 0.502995i
\(65\) 1.97030i 0.244386i
\(66\) −1.91973 0.699979i −0.236302 0.0861615i
\(67\) −5.17367 0.509562i −0.632065 0.0622529i −0.223089 0.974798i \(-0.571614\pi\)
−0.408976 + 0.912545i \(0.634114\pi\)
\(68\) −2.08375 4.01416i −0.252692 0.486788i
\(69\) −0.914753 1.71138i −0.110123 0.206026i
\(70\) −1.67036 0.802384i −0.199646 0.0959033i
\(71\) 1.15091 0.228930i 0.136588 0.0271690i −0.126323 0.991989i \(-0.540318\pi\)
0.262911 + 0.964820i \(0.415318\pi\)
\(72\) 1.25537 2.53457i 0.147947 0.298702i
\(73\) −1.75052 + 8.80047i −0.204883 + 1.03002i 0.732248 + 0.681038i \(0.238471\pi\)
−0.937131 + 0.348978i \(0.886529\pi\)
\(74\) −10.2093 + 1.45153i −1.18680 + 0.168737i
\(75\) −3.67754 3.01808i −0.424646 0.348498i
\(76\) −5.19605 2.22608i −0.596028 0.255349i
\(77\) −3.39013 1.81206i −0.386341 0.206504i
\(78\) −5.59114 0.863861i −0.633072 0.0978130i
\(79\) −0.912975 + 0.378167i −0.102718 + 0.0425471i −0.433451 0.901177i \(-0.642704\pi\)
0.330733 + 0.943724i \(0.392704\pi\)
\(80\) 1.21271 + 1.55260i 0.135585 + 0.173586i
\(81\) 0.923880 + 0.382683i 0.102653 + 0.0425204i
\(82\) −12.1260 7.36782i −1.33909 0.813640i
\(83\) −6.02031 + 1.82624i −0.660815 + 0.200456i −0.602840 0.797862i \(-0.705964\pi\)
−0.0579750 + 0.998318i \(0.518464\pi\)
\(84\) 3.00929 4.38820i 0.328340 0.478791i
\(85\) 0.109169 + 1.10842i 0.0118411 + 0.120225i
\(86\) 4.81866 + 8.15052i 0.519609 + 0.878893i
\(87\) 4.60477 + 6.89153i 0.493683 + 0.738849i
\(88\) 2.37467 + 3.32600i 0.253141 + 0.354553i
\(89\) −15.5192 10.3696i −1.64503 1.09917i −0.903836 0.427878i \(-0.859261\pi\)
−0.741191 0.671294i \(-0.765739\pi\)
\(90\) −0.518906 + 0.464639i −0.0546975 + 0.0489773i
\(91\) −10.1847 3.08950i −1.06765 0.323867i
\(92\) −0.426968 + 3.85747i −0.0445144 + 0.402169i
\(93\) 4.17350 + 5.08543i 0.432772 + 0.527335i
\(94\) 11.9347 0.514181i 1.23097 0.0530338i
\(95\) 0.984339 + 0.984339i 0.100991 + 0.100991i
\(96\) −4.93753 + 2.76059i −0.503934 + 0.281751i
\(97\) 4.43740 4.43740i 0.450550 0.450550i −0.444987 0.895537i \(-0.646792\pi\)
0.895537 + 0.444987i \(0.146792\pi\)
\(98\) 0.0745870 0.0813032i 0.00753443 0.00821287i
\(99\) −1.11690 + 0.916620i −0.112253 + 0.0921237i
\(100\) 2.65199 + 9.13779i 0.265199 + 0.913779i
\(101\) 1.97010 6.49455i 0.196032 0.646231i −0.802723 0.596352i \(-0.796616\pi\)
0.998755 0.0498795i \(-0.0158837\pi\)
\(102\) −3.19323 0.176184i −0.316176 0.0174449i
\(103\) −7.44913 + 11.1484i −0.733984 + 1.09849i 0.257247 + 0.966346i \(0.417185\pi\)
−0.991231 + 0.132139i \(0.957815\pi\)
\(104\) 8.24498 + 7.74911i 0.808487 + 0.759862i
\(105\) −1.08950 + 0.727980i −0.106324 + 0.0710435i
\(106\) 3.34682 + 0.859820i 0.325072 + 0.0835131i
\(107\) −14.0817 + 1.38693i −1.36133 + 0.134079i −0.752170 0.658969i \(-0.770993\pi\)
−0.609159 + 0.793048i \(0.708493\pi\)
\(108\) −1.09100 1.67622i −0.104982 0.161294i
\(109\) −2.69296 8.87749i −0.257939 0.850309i −0.986278 0.165093i \(-0.947208\pi\)
0.728339 0.685217i \(-0.240292\pi\)
\(110\) −0.238643 0.977695i −0.0227537 0.0932196i
\(111\) −2.79039 + 6.73660i −0.264852 + 0.639409i
\(112\) −9.92713 + 3.83410i −0.938026 + 0.362288i
\(113\) 0.952411 + 2.29932i 0.0895953 + 0.216302i 0.962325 0.271901i \(-0.0876524\pi\)
−0.872730 + 0.488203i \(0.837652\pi\)
\(114\) −3.22484 + 2.36169i −0.302034 + 0.221193i
\(115\) 0.450535 0.842891i 0.0420126 0.0786000i
\(116\) 0.199949 16.5755i 0.0185648 1.53900i
\(117\) −2.53785 + 3.09238i −0.234625 + 0.285891i
\(118\) 3.11324 + 2.33817i 0.286597 + 0.215246i
\(119\) −5.90071 1.17372i −0.540917 0.107595i
\(120\) 1.38145 0.179440i 0.126109 0.0163805i
\(121\) 1.73871 + 8.74109i 0.158065 + 0.794644i
\(122\) −6.71606 + 2.35745i −0.608043 + 0.213434i
\(123\) −8.84838 + 4.72956i −0.797831 + 0.426450i
\(124\) −1.13162 13.1087i −0.101623 1.17720i
\(125\) 0.471044 4.78259i 0.0421315 0.427768i
\(126\) −1.58811 3.41086i −0.141480 0.303863i
\(127\) 14.1616 1.25664 0.628318 0.777956i \(-0.283743\pi\)
0.628318 + 0.777956i \(0.283743\pi\)
\(128\) 11.2666 + 1.03157i 0.995835 + 0.0911787i
\(129\) 6.69516 0.589476
\(130\) −1.17614 2.52604i −0.103154 0.221548i
\(131\) −0.401558 + 4.07708i −0.0350843 + 0.356216i 0.961575 + 0.274543i \(0.0885265\pi\)
−0.996659 + 0.0816736i \(0.973974\pi\)
\(132\) 2.87904 0.248536i 0.250589 0.0216323i
\(133\) −6.63164 + 3.54468i −0.575036 + 0.307363i
\(134\) 6.93712 2.43505i 0.599276 0.210356i
\(135\) 0.0960860 + 0.483057i 0.00826977 + 0.0415749i
\(136\) 5.06767 + 3.90252i 0.434549 + 0.334638i
\(137\) −2.02429 0.402657i −0.172947 0.0344013i 0.107857 0.994166i \(-0.465601\pi\)
−0.280804 + 0.959765i \(0.590601\pi\)
\(138\) 2.19435 + 1.64804i 0.186795 + 0.140291i
\(139\) 5.02577 6.12392i 0.426281 0.519424i −0.514936 0.857229i \(-0.672184\pi\)
0.941216 + 0.337804i \(0.109684\pi\)
\(140\) 2.62047 + 0.0316104i 0.221470 + 0.00267157i
\(141\) 3.98186 7.44954i 0.335333 0.627364i
\(142\) −1.33888 + 0.980517i −0.112356 + 0.0822832i
\(143\) −2.21197 5.34016i −0.184974 0.446566i
\(144\) −0.0964891 + 3.99884i −0.00804076 + 0.333236i
\(145\) −1.56219 + 3.77145i −0.129733 + 0.313202i
\(146\) −3.00902 12.3276i −0.249028 1.02024i
\(147\) −0.0226473 0.0746580i −0.00186791 0.00615769i
\(148\) 12.2224 7.95519i 1.00467 0.653912i
\(149\) 8.11544 0.799301i 0.664842 0.0654813i 0.240034 0.970764i \(-0.422841\pi\)
0.424809 + 0.905283i \(0.360341\pi\)
\(150\) 6.51640 + 1.67411i 0.532062 + 0.136690i
\(151\) −2.94808 + 1.96984i −0.239911 + 0.160303i −0.669714 0.742619i \(-0.733583\pi\)
0.429803 + 0.902923i \(0.358583\pi\)
\(152\) 7.99045 0.247735i 0.648111 0.0200939i
\(153\) −1.25636 + 1.88027i −0.101571 + 0.152011i
\(154\) 5.42802 + 0.299488i 0.437402 + 0.0241334i
\(155\) −0.940569 + 3.10064i −0.0755483 + 0.249050i
\(156\) 7.68383 2.23001i 0.615199 0.178544i
\(157\) −17.8247 + 14.6284i −1.42257 + 1.16747i −0.462877 + 0.886423i \(0.653183\pi\)
−0.959693 + 0.281050i \(0.909317\pi\)
\(158\) 0.944746 1.02982i 0.0751600 0.0819278i
\(159\) 1.72775 1.72775i 0.137020 0.137020i
\(160\) −2.48156 1.26662i −0.196184 0.100135i
\(161\) 3.65055 + 3.65055i 0.287703 + 0.287703i
\(162\) −1.41290 + 0.0608719i −0.111008 + 0.00478255i
\(163\) 0.176986 + 0.215658i 0.0138626 + 0.0168916i 0.779896 0.625910i \(-0.215272\pi\)
−0.766033 + 0.642801i \(0.777772\pi\)
\(164\) 19.9443 + 2.20755i 1.55739 + 0.172381i
\(165\) −0.680989 0.206576i −0.0530149 0.0160819i
\(166\) 6.62824 5.93507i 0.514452 0.460651i
\(167\) 0.362060 + 0.241921i 0.0280171 + 0.0187204i 0.569500 0.821991i \(-0.307137\pi\)
−0.541483 + 0.840712i \(0.682137\pi\)
\(168\) −1.23862 + 7.42226i −0.0955618 + 0.572640i
\(169\) −1.66868 2.49736i −0.128360 0.192105i
\(170\) −0.801611 1.35589i −0.0614808 0.103992i
\(171\) 0.277037 + 2.81280i 0.0211855 + 0.215100i
\(172\) −11.0431 7.57302i −0.842029 0.577437i
\(173\) 18.0968 5.48961i 1.37587 0.417367i 0.486155 0.873873i \(-0.338399\pi\)
0.889720 + 0.456506i \(0.150899\pi\)
\(174\) −10.0174 6.08660i −0.759414 0.461424i
\(175\) 11.6935 + 4.84359i 0.883942 + 0.366141i
\(176\) −5.02986 2.84660i −0.379140 0.214571i
\(177\) 2.54355 1.05357i 0.191185 0.0791913i
\(178\) 26.0864 + 4.03049i 1.95526 + 0.302098i
\(179\) 16.8371 + 8.99963i 1.25847 + 0.672664i 0.959529 0.281609i \(-0.0908680\pi\)
0.298937 + 0.954273i \(0.403368\pi\)
\(180\) 0.387909 0.905446i 0.0289130 0.0674880i
\(181\) 13.5190 + 11.0947i 1.00486 + 0.824666i 0.984546 0.175128i \(-0.0560339\pi\)
0.0203123 + 0.999794i \(0.493534\pi\)
\(182\) 14.9016 2.11867i 1.10458 0.157047i
\(183\) −0.981898 + 4.93633i −0.0725840 + 0.364904i
\(184\) −1.75526 5.20037i −0.129399 0.383377i
\(185\) −3.52228 + 0.700624i −0.258963 + 0.0515109i
\(186\) −8.38633 4.02851i −0.614916 0.295385i
\(187\) −1.54025 2.88161i −0.112634 0.210724i
\(188\) −14.9940 + 7.78343i −1.09355 + 0.567665i
\(189\) −2.64764 0.260770i −0.192588 0.0189682i
\(190\) −1.84956 0.674395i −0.134181 0.0489257i
\(191\) 10.3660i 0.750055i −0.927014 0.375027i \(-0.877633\pi\)
0.927014 0.375027i \(-0.122367\pi\)
\(192\) 4.68231 6.48660i 0.337916 0.468130i
\(193\) 17.3721i 1.25047i 0.780436 + 0.625236i \(0.214997\pi\)
−0.780436 + 0.625236i \(0.785003\pi\)
\(194\) −3.04017 + 8.33783i −0.218272 + 0.598621i
\(195\) −1.96081 0.193123i −0.140417 0.0138298i
\(196\) −0.0470923 + 0.148759i −0.00336373 + 0.0106256i
\(197\) −4.18920 7.83744i −0.298468 0.558395i 0.687327 0.726348i \(-0.258784\pi\)
−0.985795 + 0.167954i \(0.946284\pi\)
\(198\) 0.884775 1.84188i 0.0628782 0.130896i
\(199\) 24.5854 4.89034i 1.74281 0.346667i 0.781876 0.623434i \(-0.214263\pi\)
0.960937 + 0.276767i \(0.0892630\pi\)
\(200\) −8.85465 10.1321i −0.626118 0.716449i
\(201\) 1.01422 5.09881i 0.0715373 0.359643i
\(202\) 1.35103 + 9.50240i 0.0950580 + 0.668586i
\(203\) −17.0455 13.9889i −1.19636 0.981828i
\(204\) 4.19907 1.68026i 0.293994 0.117642i
\(205\) −4.35801 2.32940i −0.304376 0.162693i
\(206\) 2.89536 18.7395i 0.201729 1.30564i
\(207\) 1.79280 0.742603i 0.124608 0.0516145i
\(208\) −15.1962 5.01310i −1.05367 0.347596i
\(209\) −3.77295 1.56281i −0.260980 0.108102i
\(210\) 0.962245 1.58367i 0.0664012 0.109284i
\(211\) 4.77293 1.44785i 0.328582 0.0996743i −0.121683 0.992569i \(-0.538829\pi\)
0.450266 + 0.892895i \(0.351329\pi\)
\(212\) −4.80408 + 0.895490i −0.329945 + 0.0615025i
\(213\) 0.115019 + 1.16781i 0.00788097 + 0.0800168i
\(214\) 17.2256 10.1839i 1.17752 0.696160i
\(215\) 1.83200 + 2.74178i 0.124941 + 0.186988i
\(216\) 2.39932 + 1.49776i 0.163253 + 0.101909i
\(217\) −14.5527 9.72382i −0.987904 0.660096i
\(218\) 8.75179 + 9.77394i 0.592746 + 0.661975i
\(219\) −8.58651 2.60469i −0.580223 0.176009i
\(220\) 0.889572 + 1.11101i 0.0599749 + 0.0749041i
\(221\) −5.73907 6.99308i −0.386052 0.470405i
\(222\) −0.443856 10.3024i −0.0297897 0.691450i
\(223\) 3.06444 + 3.06444i 0.205210 + 0.205210i 0.802228 0.597018i \(-0.203648\pi\)
−0.597018 + 0.802228i \(0.703648\pi\)
\(224\) 10.4385 10.8414i 0.697449 0.724369i
\(225\) 3.36401 3.36401i 0.224267 0.224267i
\(226\) −2.59359 2.37934i −0.172523 0.158271i
\(227\) 3.34427 2.74457i 0.221967 0.182164i −0.516837 0.856084i \(-0.672891\pi\)
0.738804 + 0.673920i \(0.235391\pi\)
\(228\) 2.72466 4.95284i 0.180445 0.328010i
\(229\) −3.91848 + 12.9175i −0.258940 + 0.853612i 0.727018 + 0.686619i \(0.240906\pi\)
−0.985958 + 0.166993i \(0.946594\pi\)
\(230\) −0.0744619 + 1.34957i −0.00490987 + 0.0889882i
\(231\) 2.13563 3.19619i 0.140514 0.210294i
\(232\) 9.63814 + 21.3701i 0.632775 + 1.40302i
\(233\) −17.7873 + 11.8851i −1.16529 + 0.778619i −0.978997 0.203876i \(-0.934646\pi\)
−0.186289 + 0.982495i \(0.559646\pi\)
\(234\) 1.40773 5.47954i 0.0920261 0.358209i
\(235\) 4.14026 0.407780i 0.270081 0.0266006i
\(236\) −5.38708 1.13927i −0.350669 0.0741605i
\(237\) −0.286859 0.945646i −0.0186335 0.0614263i
\(238\) 8.26569 2.01755i 0.535785 0.130778i
\(239\) −7.37289 + 17.7997i −0.476913 + 1.15137i 0.484137 + 0.874992i \(0.339134\pi\)
−0.961049 + 0.276377i \(0.910866\pi\)
\(240\) −1.66399 + 1.05469i −0.107410 + 0.0680797i
\(241\) 0.435972 + 1.05253i 0.0280834 + 0.0677994i 0.937299 0.348526i \(-0.113318\pi\)
−0.909216 + 0.416325i \(0.863318\pi\)
\(242\) −7.44697 10.1687i −0.478709 0.653668i
\(243\) −0.471397 + 0.881921i −0.0302401 + 0.0565753i
\(244\) 7.20313 7.03142i 0.461133 0.450141i
\(245\) 0.0243767 0.0297031i 0.00155737 0.00189766i
\(246\) 8.52090 11.3454i 0.543273 0.723359i
\(247\) −11.0896 2.20587i −0.705616 0.140356i
\(248\) 9.27583 + 16.1306i 0.589016 + 1.02430i
\(249\) −1.22735 6.17033i −0.0777804 0.391029i
\(250\) 2.25098 + 6.41274i 0.142364 + 0.405577i
\(251\) 12.6464 6.75965i 0.798235 0.426665i −0.0212445 0.999774i \(-0.506763\pi\)
0.819479 + 0.573109i \(0.194263\pi\)
\(252\) 4.07210 + 3.42492i 0.256518 + 0.215749i
\(253\) −0.274821 + 2.79030i −0.0172778 + 0.175425i
\(254\) −18.1560 + 8.45351i −1.13921 + 0.530421i
\(255\) −1.11378 −0.0697476
\(256\) −15.0602 + 5.40286i −0.941261 + 0.337679i
\(257\) −6.50313 −0.405654 −0.202827 0.979215i \(-0.565013\pi\)
−0.202827 + 0.979215i \(0.565013\pi\)
\(258\) −8.58358 + 3.99656i −0.534391 + 0.248815i
\(259\) 1.90144 19.3057i 0.118150 1.19960i
\(260\) 3.01575 + 2.53645i 0.187029 + 0.157304i
\(261\) −7.30969 + 3.90711i −0.452458 + 0.241844i
\(262\) −1.91892 5.46676i −0.118552 0.337737i
\(263\) 3.03519 + 15.2589i 0.187158 + 0.940904i 0.954168 + 0.299270i \(0.0967432\pi\)
−0.767011 + 0.641634i \(0.778257\pi\)
\(264\) −3.54274 + 2.03723i −0.218041 + 0.125383i
\(265\) 1.18031 + 0.234778i 0.0725057 + 0.0144223i
\(266\) 6.38620 8.50313i 0.391563 0.521360i
\(267\) 11.8408 14.4280i 0.724644 0.882981i
\(268\) −7.44022 + 7.26286i −0.454484 + 0.443650i
\(269\) 11.4591 21.4384i 0.698671 1.30712i −0.242816 0.970072i \(-0.578071\pi\)
0.941487 0.337049i \(-0.109429\pi\)
\(270\) −0.411540 0.561950i −0.0250455 0.0341992i
\(271\) 3.73979 + 9.02866i 0.227176 + 0.548452i 0.995832 0.0912111i \(-0.0290738\pi\)
−0.768655 + 0.639663i \(0.779074\pi\)
\(272\) −8.82659 1.97819i −0.535190 0.119945i
\(273\) 4.07290 9.83285i 0.246503 0.595111i
\(274\) 2.83562 0.692137i 0.171306 0.0418135i
\(275\) 1.99538 + 6.57790i 0.120326 + 0.396662i
\(276\) −3.79705 0.803010i −0.228555 0.0483355i
\(277\) 15.4012 1.51689i 0.925369 0.0911409i 0.375905 0.926658i \(-0.377332\pi\)
0.549464 + 0.835517i \(0.314832\pi\)
\(278\) −2.78776 + 10.8513i −0.167199 + 0.650816i
\(279\) −5.47002 + 3.65495i −0.327481 + 0.218816i
\(280\) −3.37846 + 1.52372i −0.201901 + 0.0910595i
\(281\) −16.6418 + 24.9062i −0.992767 + 1.48578i −0.122945 + 0.992413i \(0.539234\pi\)
−0.869821 + 0.493367i \(0.835766\pi\)
\(282\) −0.658101 + 11.9276i −0.0391893 + 0.710280i
\(283\) −7.87390 + 25.9568i −0.468055 + 1.54297i 0.332141 + 0.943230i \(0.392229\pi\)
−0.800196 + 0.599739i \(0.795271\pi\)
\(284\) 1.13121 2.05630i 0.0671252 0.122019i
\(285\) −1.07608 + 0.883117i −0.0637415 + 0.0523113i
\(286\) 6.02358 + 5.52599i 0.356182 + 0.326759i
\(287\) 18.8745 18.8745i 1.11412 1.11412i
\(288\) −2.26333 5.18433i −0.133368 0.305490i
\(289\) 8.40477 + 8.40477i 0.494398 + 0.494398i
\(290\) −0.248491 5.76774i −0.0145919 0.338694i
\(291\) 3.98109 + 4.85097i 0.233376 + 0.284369i
\(292\) 11.2165 + 14.0086i 0.656397 + 0.819790i
\(293\) 7.21140 + 2.18755i 0.421294 + 0.127798i 0.493812 0.869569i \(-0.335603\pi\)
−0.0725173 + 0.997367i \(0.523103\pi\)
\(294\) 0.0736009 + 0.0821970i 0.00429249 + 0.00479383i
\(295\) 1.12745 + 0.753335i 0.0656424 + 0.0438608i
\(296\) −10.9211 + 17.4950i −0.634776 + 1.01687i
\(297\) −0.802730 1.20137i −0.0465791 0.0697106i
\(298\) −9.92733 + 5.86912i −0.575075 + 0.339989i
\(299\) 0.760899 + 7.72554i 0.0440040 + 0.446780i
\(300\) −9.35373 + 1.74356i −0.540038 + 0.100664i
\(301\) −17.0452 + 5.17060i −0.982469 + 0.298029i
\(302\) 2.60374 4.28525i 0.149828 0.246589i
\(303\) 6.27017 + 2.59719i 0.360212 + 0.149205i
\(304\) −10.0963 + 5.08737i −0.579065 + 0.291781i
\(305\) −2.29018 + 0.948625i −0.131136 + 0.0543181i
\(306\) 0.488327 3.16058i 0.0279158 0.180678i
\(307\) 18.7442 + 10.0190i 1.06979 + 0.571812i 0.909689 0.415289i \(-0.136320\pi\)
0.160096 + 0.987101i \(0.448820\pi\)
\(308\) −7.13781 + 2.85620i −0.406714 + 0.162747i
\(309\) −10.3646 8.50599i −0.589620 0.483889i
\(310\) −0.645011 4.53666i −0.0366342 0.257665i
\(311\) −0.442616 + 2.22518i −0.0250985 + 0.126178i −0.991303 0.131597i \(-0.957990\pi\)
0.966205 + 0.257776i \(0.0829895\pi\)
\(312\) −8.51994 + 7.44574i −0.482347 + 0.421532i
\(313\) −3.25665 + 0.647788i −0.184077 + 0.0366151i −0.286268 0.958150i \(-0.592415\pi\)
0.102191 + 0.994765i \(0.467415\pi\)
\(314\) 14.1202 29.3946i 0.796848 1.65883i
\(315\) −0.617685 1.15561i −0.0348026 0.0651111i
\(316\) −0.596488 + 1.88423i −0.0335551 + 0.105996i
\(317\) −4.56557 0.449669i −0.256428 0.0252559i −0.0310136 0.999519i \(-0.509874\pi\)
−0.225414 + 0.974263i \(0.572374\pi\)
\(318\) −1.18373 + 3.24643i −0.0663801 + 0.182051i
\(319\) 11.9757i 0.670509i
\(320\) 3.93759 + 0.142551i 0.220118 + 0.00796886i
\(321\) 14.1498i 0.789766i
\(322\) −6.85934 2.50108i −0.382256 0.139380i
\(323\) −6.36083 0.626487i −0.353926 0.0348587i
\(324\) 1.77509 0.921449i 0.0986159 0.0511916i
\(325\) 8.97153 + 16.7846i 0.497651 + 0.931039i
\(326\) −0.355640 0.170837i −0.0196971 0.00946180i
\(327\) 9.09870 1.80984i 0.503159 0.100085i
\(328\) −26.8875 + 9.07522i −1.48462 + 0.501095i
\(329\) −4.38421 + 22.0409i −0.241709 + 1.21515i
\(330\) 0.996378 0.141663i 0.0548488 0.00779827i
\(331\) −24.0287 19.7198i −1.32074 1.08390i −0.990133 0.140131i \(-0.955248\pi\)
−0.330604 0.943770i \(-0.607252\pi\)
\(332\) −4.95495 + 11.5657i −0.271938 + 0.634751i
\(333\) −6.43065 3.43726i −0.352398 0.188360i
\(334\) −0.608593 0.0940309i −0.0333007 0.00514514i
\(335\) 2.36556 0.979849i 0.129245 0.0535349i
\(336\) −2.84261 10.2551i −0.155077 0.559464i
\(337\) −2.68954 1.11404i −0.146509 0.0606859i 0.308224 0.951314i \(-0.400265\pi\)
−0.454733 + 0.890628i \(0.650265\pi\)
\(338\) 3.63010 + 2.20567i 0.197451 + 0.119972i
\(339\) −2.38160 + 0.722452i −0.129351 + 0.0392382i
\(340\) 1.83708 + 1.25982i 0.0996299 + 0.0683231i
\(341\) −0.931698 9.45968i −0.0504542 0.512271i
\(342\) −2.03423 3.44080i −0.109999 0.186057i
\(343\) −10.2312 15.3120i −0.552431 0.826772i
\(344\) 18.6785 + 3.11705i 1.00708 + 0.168060i
\(345\) 0.794672 + 0.530983i 0.0427837 + 0.0285872i
\(346\) −19.9242 + 17.8406i −1.07113 + 0.959115i
\(347\) 14.0768 + 4.27016i 0.755685 + 0.229234i 0.644541 0.764570i \(-0.277049\pi\)
0.111144 + 0.993804i \(0.464549\pi\)
\(348\) 16.4761 + 1.82367i 0.883213 + 0.0977591i
\(349\) −17.8253 21.7202i −0.954168 1.16266i −0.986596 0.163183i \(-0.947824\pi\)
0.0324280 0.999474i \(-0.489676\pi\)
\(350\) −17.8830 + 0.770450i −0.955886 + 0.0411823i
\(351\) −2.82874 2.82874i −0.150987 0.150987i
\(352\) 8.14780 + 0.647013i 0.434279 + 0.0344859i
\(353\) 24.2156 24.2156i 1.28886 1.28886i 0.353387 0.935477i \(-0.385030\pi\)
0.935477 0.353387i \(-0.114970\pi\)
\(354\) −2.63206 + 2.86907i −0.139893 + 0.152489i
\(355\) −0.446763 + 0.366649i −0.0237117 + 0.0194597i
\(356\) −35.8502 + 10.4045i −1.90006 + 0.551438i
\(357\) 1.74644 5.75725i 0.0924316 0.304706i
\(358\) −26.9583 1.48741i −1.42479 0.0786121i
\(359\) −15.5277 + 23.2389i −0.819523 + 1.22650i 0.151723 + 0.988423i \(0.451518\pi\)
−0.971246 + 0.238079i \(0.923482\pi\)
\(360\) 0.0431694 + 1.39239i 0.00227523 + 0.0733854i
\(361\) 9.15565 6.11761i 0.481876 0.321980i
\(362\) −23.9549 6.15417i −1.25904 0.323456i
\(363\) −8.86942 + 0.873561i −0.465524 + 0.0458501i
\(364\) −17.8400 + 11.6115i −0.935071 + 0.608609i
\(365\) −1.28286 4.22903i −0.0671481 0.221358i
\(366\) −1.68781 6.91479i −0.0882233 0.361442i
\(367\) 9.67364 23.3542i 0.504960 1.21908i −0.441792 0.897117i \(-0.645657\pi\)
0.946752 0.321963i \(-0.104343\pi\)
\(368\) 5.35461 + 5.61941i 0.279128 + 0.292932i
\(369\) −3.83949 9.26935i −0.199876 0.482543i
\(370\) 4.09754 3.00080i 0.213021 0.156004i
\(371\) −3.06435 + 5.73300i −0.159093 + 0.297643i
\(372\) 13.1565 + 0.158706i 0.682133 + 0.00822850i
\(373\) −16.4838 + 20.0856i −0.853498 + 1.03999i 0.145221 + 0.989399i \(0.453611\pi\)
−0.998719 + 0.0505915i \(0.983889\pi\)
\(374\) 3.69482 + 2.77496i 0.191055 + 0.143490i
\(375\) 4.71339 + 0.937552i 0.243398 + 0.0484150i
\(376\) 14.5770 18.9292i 0.751754 0.976201i
\(377\) −6.46864 32.5201i −0.333152 1.67487i
\(378\) 3.55009 1.24614i 0.182597 0.0640947i
\(379\) 2.53046 1.35256i 0.129981 0.0694762i −0.405125 0.914261i \(-0.632772\pi\)
0.535105 + 0.844785i \(0.320272\pi\)
\(380\) 2.77381 0.239452i 0.142294 0.0122836i
\(381\) −1.38808 + 14.0934i −0.0711134 + 0.722026i
\(382\) 6.18778 + 13.2898i 0.316595 + 0.679963i
\(383\) 14.9514 0.763981 0.381991 0.924166i \(-0.375239\pi\)
0.381991 + 0.924166i \(0.375239\pi\)
\(384\) −2.13092 + 11.1112i −0.108743 + 0.567017i
\(385\) 1.89326 0.0964896
\(386\) −10.3700 22.2720i −0.527818 1.13362i
\(387\) −0.656241 + 6.66293i −0.0333586 + 0.338696i
\(388\) −1.07945 12.5044i −0.0548008 0.634812i
\(389\) −15.9232 + 8.51112i −0.807337 + 0.431531i −0.822787 0.568350i \(-0.807582\pi\)
0.0154497 + 0.999881i \(0.495082\pi\)
\(390\) 2.62916 0.922879i 0.133133 0.0467318i
\(391\) 0.856106 + 4.30394i 0.0432951 + 0.217659i
\(392\) −0.0284240 0.218828i −0.00143563 0.0110525i
\(393\) −4.01809 0.799248i −0.202686 0.0403167i
\(394\) 10.0492 + 7.54738i 0.506272 + 0.380231i
\(395\) 0.308764 0.376230i 0.0155356 0.0189302i
\(396\) −0.0348562 + 2.88954i −0.00175159 + 0.145205i
\(397\) 11.4579 21.4361i 0.575053 1.07585i −0.411346 0.911479i \(-0.634941\pi\)
0.986399 0.164369i \(-0.0525588\pi\)
\(398\) −28.6007 + 20.9455i −1.43362 + 1.04990i
\(399\) −2.87760 6.94714i −0.144060 0.347792i
\(400\) 17.4004 + 7.70433i 0.870018 + 0.385216i
\(401\) −7.95427 + 19.2033i −0.397217 + 0.958967i 0.591106 + 0.806594i \(0.298692\pi\)
−0.988323 + 0.152373i \(0.951308\pi\)
\(402\) 1.74336 + 7.14239i 0.0869511 + 0.356230i
\(403\) −7.63967 25.1846i −0.380559 1.25453i
\(404\) −7.40439 11.3761i −0.368382 0.565984i
\(405\) −0.490149 + 0.0482755i −0.0243557 + 0.00239883i
\(406\) 30.2038 + 7.75954i 1.49899 + 0.385100i
\(407\) 8.75996 5.85322i 0.434215 0.290133i
\(408\) −4.38044 + 4.66076i −0.216864 + 0.230742i
\(409\) 19.8185 29.6605i 0.979962 1.46662i 0.0980618 0.995180i \(-0.468736\pi\)
0.881900 0.471436i \(-0.156264\pi\)
\(410\) 6.97771 + 0.384991i 0.344605 + 0.0190134i
\(411\) 0.599133 1.97508i 0.0295531 0.0974234i
\(412\) 7.47422 + 25.7535i 0.368228 + 1.26878i
\(413\) −5.66195 + 4.64664i −0.278606 + 0.228646i
\(414\) −1.85519 + 2.02224i −0.0911777 + 0.0993878i
\(415\) 2.19101 2.19101i 0.107552 0.107552i
\(416\) 22.4749 2.64406i 1.10192 0.129635i
\(417\) 5.60182 + 5.60182i 0.274322 + 0.274322i
\(418\) 5.77003 0.248589i 0.282221 0.0121589i
\(419\) 18.8965 + 23.0255i 0.923155 + 1.12487i 0.991873 + 0.127232i \(0.0406093\pi\)
−0.0687175 + 0.997636i \(0.521891\pi\)
\(420\) −0.288309 + 2.60475i −0.0140680 + 0.127099i
\(421\) −13.4045 4.06621i −0.653296 0.198175i −0.0537984 0.998552i \(-0.517133\pi\)
−0.599497 + 0.800377i \(0.704633\pi\)
\(422\) −5.25490 + 4.70535i −0.255805 + 0.229053i
\(423\) 7.02338 + 4.69287i 0.341488 + 0.228175i
\(424\) 5.62455 4.01578i 0.273152 0.195024i
\(425\) 5.97703 + 8.94526i 0.289929 + 0.433909i
\(426\) −0.844563 1.42854i −0.0409192 0.0692128i
\(427\) −1.31247 13.3257i −0.0635147 0.644876i
\(428\) −16.0051 + 23.3389i −0.773637 + 1.12813i
\(429\) 5.53125 1.67789i 0.267051 0.0810092i
\(430\) −3.98538 2.42154i −0.192192 0.116777i
\(431\) −16.1560 6.69204i −0.778208 0.322344i −0.0420161 0.999117i \(-0.513378\pi\)
−0.736192 + 0.676773i \(0.763378\pi\)
\(432\) −3.97012 0.487979i −0.191013 0.0234779i
\(433\) −32.5441 + 13.4802i −1.56397 + 0.647818i −0.985773 0.168080i \(-0.946243\pi\)
−0.578197 + 0.815897i \(0.696243\pi\)
\(434\) 24.4619 + 3.77950i 1.17421 + 0.181422i
\(435\) −3.60017 1.92433i −0.172615 0.0922647i
\(436\) −17.0547 7.30652i −0.816771 0.349919i
\(437\) 4.23972 + 3.47945i 0.202814 + 0.166445i
\(438\) 12.5632 1.78621i 0.600294 0.0853483i
\(439\) −6.17593 + 31.0485i −0.294761 + 1.48186i 0.495239 + 0.868757i \(0.335080\pi\)
−0.790000 + 0.613107i \(0.789920\pi\)
\(440\) −1.80368 0.893361i −0.0859870 0.0425893i
\(441\) 0.0765183 0.0152204i 0.00364373 0.000724783i
\(442\) 11.5322 + 5.53969i 0.548531 + 0.263496i
\(443\) 13.1436 + 24.5899i 0.624471 + 1.16830i 0.972956 + 0.230989i \(0.0741961\pi\)
−0.348485 + 0.937314i \(0.613304\pi\)
\(444\) 6.71888 + 12.9433i 0.318864 + 0.614261i
\(445\) 9.14850 + 0.901049i 0.433680 + 0.0427138i
\(446\) −5.75806 2.09952i −0.272652 0.0994154i
\(447\) 8.15470i 0.385704i
\(448\) −6.91113 + 20.1303i −0.326520 + 0.951068i
\(449\) 7.36597i 0.347622i −0.984779 0.173811i \(-0.944392\pi\)
0.984779 0.173811i \(-0.0556081\pi\)
\(450\) −2.30476 + 6.32094i −0.108648 + 0.297972i
\(451\) 14.4267 + 1.42091i 0.679328 + 0.0669080i
\(452\) 4.74543 + 1.50225i 0.223206 + 0.0706600i
\(453\) −1.67139 3.12696i −0.0785289 0.146917i
\(454\) −2.64922 + 5.51500i −0.124334 + 0.258832i
\(455\) 5.14117 1.02264i 0.241022 0.0479422i
\(456\) −0.536660 + 7.97626i −0.0251314 + 0.373523i
\(457\) 5.89343 29.6283i 0.275683 1.38595i −0.556221 0.831034i \(-0.687749\pi\)
0.831904 0.554919i \(-0.187251\pi\)
\(458\) −2.68716 18.9000i −0.125563 0.883140i
\(459\) −1.74808 1.43461i −0.0815932 0.0669618i
\(460\) −0.710140 1.77468i −0.0331105 0.0827448i
\(461\) 9.48343 + 5.06900i 0.441688 + 0.236087i 0.677221 0.735779i \(-0.263184\pi\)
−0.235534 + 0.971866i \(0.575684\pi\)
\(462\) −0.830085 + 5.37253i −0.0386190 + 0.249953i
\(463\) 27.6722 11.4622i 1.28604 0.532694i 0.368235 0.929733i \(-0.379962\pi\)
0.917802 + 0.397039i \(0.129962\pi\)
\(464\) −25.1132 21.6444i −1.16585 1.00482i
\(465\) −2.99352 1.23996i −0.138821 0.0575016i
\(466\) 15.7098 25.8552i 0.727740 1.19772i
\(467\) 31.4606 9.54347i 1.45582 0.441619i 0.539475 0.842001i \(-0.318623\pi\)
0.916348 + 0.400382i \(0.131123\pi\)
\(468\) 1.46613 + 7.86541i 0.0677719 + 0.363579i
\(469\) 1.35567 + 13.7643i 0.0625989 + 0.635577i
\(470\) −5.06463 + 2.99425i −0.233614 + 0.138115i
\(471\) −12.8108 19.1728i −0.590292 0.883434i
\(472\) 7.58662 1.75511i 0.349203 0.0807855i
\(473\) −8.04337 5.37441i −0.369835 0.247116i
\(474\) 0.932256 + 1.04114i 0.0428199 + 0.0478210i
\(475\) 12.8674 + 3.90329i 0.590398 + 0.179095i
\(476\) −9.39275 + 7.52067i −0.430516 + 0.344709i
\(477\) 1.55008 + 1.88878i 0.0709735 + 0.0864814i
\(478\) −1.17278 27.2214i −0.0536415 1.24508i
\(479\) −16.5691 16.5691i −0.757060 0.757060i 0.218726 0.975786i \(-0.429810\pi\)
−0.975786 + 0.218726i \(0.929810\pi\)
\(480\) 1.50375 2.34546i 0.0686366 0.107055i
\(481\) 20.6262 20.6262i 0.940472 0.940472i
\(482\) −1.18723 1.08916i −0.0540769 0.0496098i
\(483\) −3.99078 + 3.27515i −0.181587 + 0.149025i
\(484\) 15.6175 + 8.59149i 0.709884 + 0.390522i
\(485\) −0.897205 + 2.95769i −0.0407400 + 0.134302i
\(486\) 0.0779099 1.41207i 0.00353407 0.0640526i
\(487\) −17.2675 + 25.8426i −0.782464 + 1.17104i 0.199113 + 0.979976i \(0.436194\pi\)
−0.981578 + 0.191064i \(0.938806\pi\)
\(488\) −5.03754 + 13.3145i −0.228039 + 0.602718i
\(489\) −0.231967 + 0.154996i −0.0104899 + 0.00700914i
\(490\) −0.0135216 + 0.0526323i −0.000610842 + 0.00237768i
\(491\) 30.1305 2.96759i 1.35977 0.133926i 0.608307 0.793702i \(-0.291849\pi\)
0.751462 + 0.659776i \(0.229349\pi\)
\(492\) −4.15181 + 19.6319i −0.187178 + 0.885075i
\(493\) −5.44087 17.9361i −0.245044 0.807803i
\(494\) 15.5343 3.79172i 0.698921 0.170598i
\(495\) 0.272329 0.657462i 0.0122403 0.0295507i
\(496\) −21.5210 15.1433i −0.966323 0.679956i
\(497\) −1.19471 2.88429i −0.0535901 0.129378i
\(498\) 5.25681 + 7.17807i 0.235563 + 0.321657i
\(499\) 3.23236 6.04731i 0.144700 0.270715i −0.799122 0.601169i \(-0.794702\pi\)
0.943822 + 0.330454i \(0.107202\pi\)
\(500\) −6.71386 6.87781i −0.300253 0.307585i
\(501\) −0.276244 + 0.336605i −0.0123417 + 0.0150384i
\(502\) −12.1784 + 16.2153i −0.543547 + 0.723725i
\(503\) −0.955393 0.190039i −0.0425989 0.00847344i 0.173745 0.984791i \(-0.444413\pi\)
−0.216344 + 0.976317i \(0.569413\pi\)
\(504\) −7.26511 1.96017i −0.323614 0.0873128i
\(505\) 0.652115 + 3.27840i 0.0290187 + 0.145887i
\(506\) −1.31329 3.74138i −0.0583828 0.166325i
\(507\) 2.64889 1.41586i 0.117641 0.0628807i
\(508\) 18.2308 21.6758i 0.808861 0.961707i
\(509\) 0.750657 7.62155i 0.0332723 0.337819i −0.964110 0.265505i \(-0.914461\pi\)
0.997382 0.0723145i \(-0.0230385\pi\)
\(510\) 1.42793 0.664851i 0.0632298 0.0294401i
\(511\) 23.8719 1.05603
\(512\) 16.0829 15.9167i 0.710769 0.703425i
\(513\) −2.82641 −0.124789
\(514\) 8.33738 3.88193i 0.367746 0.171225i
\(515\) 0.647281 6.57195i 0.0285226 0.289595i
\(516\) 8.61897 10.2476i 0.379429 0.451128i
\(517\) −10.7637 + 5.75330i −0.473385 + 0.253030i
\(518\) 9.08643 + 25.8860i 0.399235 + 1.13737i
\(519\) 3.68938 + 18.5477i 0.161946 + 0.814156i
\(520\) −5.38046 1.45168i −0.235949 0.0636602i
\(521\) 25.1791 + 5.00843i 1.10312 + 0.219424i 0.712876 0.701290i \(-0.247392\pi\)
0.390240 + 0.920713i \(0.372392\pi\)
\(522\) 7.03916 9.37253i 0.308096 0.410225i
\(523\) −16.2186 + 19.7624i −0.709189 + 0.864149i −0.995575 0.0939652i \(-0.970046\pi\)
0.286387 + 0.958114i \(0.407546\pi\)
\(524\) 5.72346 + 5.86323i 0.250030 + 0.256136i
\(525\) −5.96643 + 11.1624i −0.260396 + 0.487167i
\(526\) −12.9998 17.7510i −0.566819 0.773980i
\(527\) −5.69320 13.7446i −0.248000 0.598725i
\(528\) 3.32591 4.72663i 0.144741 0.205700i
\(529\) −7.36069 + 17.7703i −0.320030 + 0.772620i
\(530\) −1.65337 + 0.403566i −0.0718177 + 0.0175298i
\(531\) 0.799188 + 2.63457i 0.0346818 + 0.114331i
\(532\) −3.11168 + 14.7136i −0.134908 + 0.637917i
\(533\) 39.9435 3.93409i 1.73014 0.170404i
\(534\) −6.56799 + 25.5657i −0.284225 + 1.10634i
\(535\) 5.79458 3.87181i 0.250521 0.167393i
\(536\) 5.20335 13.7527i 0.224751 0.594027i
\(537\) −10.6066 + 15.8739i −0.457710 + 0.685011i
\(538\) −1.89389 + 34.3255i −0.0816514 + 1.47988i
\(539\) −0.0327225 + 0.107872i −0.00140946 + 0.00464636i
\(540\) 0.863065 + 0.474790i 0.0371404 + 0.0204317i
\(541\) −23.1784 + 19.0220i −0.996517 + 0.817820i −0.983281 0.182092i \(-0.941713\pi\)
−0.0132354 + 0.999912i \(0.504213\pi\)
\(542\) −10.1841 9.34286i −0.437446 0.401310i
\(543\) −12.3664 + 12.3664i −0.530693 + 0.530693i
\(544\) 12.4970 2.73272i 0.535806 0.117165i
\(545\) 3.23084 + 3.23084i 0.138394 + 0.138394i
\(546\) 0.647859 + 15.0375i 0.0277258 + 0.643547i
\(547\) −20.4954 24.9737i −0.876319 1.06780i −0.997174 0.0751277i \(-0.976064\pi\)
0.120855 0.992670i \(-0.461436\pi\)
\(548\) −3.22227 + 2.58003i −0.137648 + 0.110214i
\(549\) −4.81632 1.46102i −0.205556 0.0623546i
\(550\) −6.48476 7.24214i −0.276511 0.308806i
\(551\) −19.4783 13.0150i −0.829803 0.554456i
\(552\) 5.34738 1.23708i 0.227599 0.0526535i
\(553\) 1.46062 + 2.18598i 0.0621120 + 0.0929572i
\(554\) −18.8398 + 11.1382i −0.800424 + 0.473218i
\(555\) −0.352007 3.57399i −0.0149419 0.151707i
\(556\) −2.90341 15.5761i −0.123132 0.660572i
\(557\) 10.7879 3.27247i 0.457097 0.138659i −0.0533355 0.998577i \(-0.516985\pi\)
0.510433 + 0.859918i \(0.329485\pi\)
\(558\) 4.83112 7.95109i 0.204517 0.336596i
\(559\) −24.7448 10.2496i −1.04660 0.433514i
\(560\) 3.42182 3.97020i 0.144598 0.167772i
\(561\) 3.01870 1.25039i 0.127450 0.0527914i
\(562\) 6.46841 41.8652i 0.272853 1.76598i
\(563\) 32.7352 + 17.4974i 1.37963 + 0.737425i 0.983523 0.180781i \(-0.0578625\pi\)
0.396103 + 0.918206i \(0.370362\pi\)
\(564\) −6.27628 15.6848i −0.264279 0.660447i
\(565\) −0.947533 0.777620i −0.0398630 0.0327147i
\(566\) −5.39965 37.9782i −0.226964 1.59634i
\(567\) 0.519029 2.60933i 0.0217972 0.109582i
\(568\) −0.222808 + 3.31155i −0.00934882 + 0.138950i
\(569\) 21.9136 4.35889i 0.918666 0.182734i 0.286961 0.957942i \(-0.407355\pi\)
0.631706 + 0.775208i \(0.282355\pi\)
\(570\) 0.852436 1.77455i 0.0357046 0.0743279i
\(571\) 14.9934 + 28.0507i 0.627454 + 1.17388i 0.971970 + 0.235103i \(0.0755428\pi\)
−0.344517 + 0.938780i \(0.611957\pi\)
\(572\) −11.0212 3.48897i −0.460821 0.145881i
\(573\) 10.3160 + 1.01604i 0.430959 + 0.0424458i
\(574\) −12.9314 + 35.4649i −0.539744 + 1.48028i
\(575\) 9.23185i 0.384995i
\(576\) 5.99642 + 5.29556i 0.249851 + 0.220648i
\(577\) 2.08304i 0.0867183i −0.999060 0.0433591i \(-0.986194\pi\)
0.999060 0.0433591i \(-0.0138060\pi\)
\(578\) −15.7925 5.75831i −0.656880 0.239514i
\(579\) −17.2885 1.70276i −0.718484 0.0707645i
\(580\) 3.76153 + 7.24624i 0.156189 + 0.300884i
\(581\) 7.88999 + 14.7611i 0.327332 + 0.612395i
\(582\) −7.99969 3.84278i −0.331598 0.159288i
\(583\) −3.46259 + 0.688752i −0.143406 + 0.0285252i
\(584\) −22.7424 11.2643i −0.941087 0.466120i
\(585\) 0.384387 1.93244i 0.0158924 0.0798966i
\(586\) −10.5512 + 1.50015i −0.435868 + 0.0619707i
\(587\) −7.68357 6.30574i −0.317135 0.260266i 0.462335 0.886705i \(-0.347012\pi\)
−0.779470 + 0.626439i \(0.784512\pi\)
\(588\) −0.143427 0.0614464i −0.00591482 0.00253401i
\(589\) −16.3986 8.76524i −0.675693 0.361166i
\(590\) −1.89514 0.292809i −0.0780217 0.0120548i
\(591\) 8.21032 3.40082i 0.337727 0.139891i
\(592\) 3.55817 28.9487i 0.146240 1.18978i
\(593\) 28.6594 + 11.8711i 1.17690 + 0.487488i 0.883468 0.468492i \(-0.155203\pi\)
0.293432 + 0.955980i \(0.405203\pi\)
\(594\) 1.74628 + 1.06105i 0.0716509 + 0.0435354i
\(595\) 2.83557 0.860160i 0.116247 0.0352631i
\(596\) 9.22393 13.4505i 0.377827 0.550954i
\(597\) 2.45700 + 24.9464i 0.100558 + 1.02099i
\(598\) −5.58715 9.45038i −0.228475 0.386455i
\(599\) −21.0487 31.5016i −0.860027 1.28712i −0.956484 0.291785i \(-0.905751\pi\)
0.0964568 0.995337i \(-0.469249\pi\)
\(600\) 10.9512 7.81889i 0.447082 0.319205i
\(601\) −8.82262 5.89509i −0.359882 0.240466i 0.362463 0.931998i \(-0.381936\pi\)
−0.722345 + 0.691533i \(0.756936\pi\)
\(602\) 18.7664 16.8038i 0.764862 0.684874i
\(603\) 4.97485 + 1.50910i 0.202592 + 0.0614555i
\(604\) −0.780135 + 7.04820i −0.0317433 + 0.286787i
\(605\) −2.78467 3.39314i −0.113213 0.137951i
\(606\) −9.58906 + 0.413124i −0.389529 + 0.0167820i
\(607\) −6.53237 6.53237i −0.265141 0.265141i 0.561998 0.827139i \(-0.310033\pi\)
−0.827139 + 0.561998i \(0.810033\pi\)
\(608\) 9.90727 12.5491i 0.401793 0.508935i
\(609\) 15.5923 15.5923i 0.631832 0.631832i
\(610\) 2.36988 2.58328i 0.0959537 0.104594i
\(611\) −26.1212 + 21.4371i −1.05675 + 0.867253i
\(612\) 1.26059 + 4.34354i 0.0509564 + 0.175577i
\(613\) 6.79555 22.4019i 0.274470 0.904805i −0.706013 0.708199i \(-0.749508\pi\)
0.980483 0.196606i \(-0.0629920\pi\)
\(614\) −30.0117 1.65588i −1.21117 0.0668259i
\(615\) 2.74535 4.10870i 0.110703 0.165679i
\(616\) 7.44612 7.92261i 0.300013 0.319211i
\(617\) −24.2117 + 16.1778i −0.974728 + 0.651293i −0.937489 0.348014i \(-0.886856\pi\)
−0.0372389 + 0.999306i \(0.511856\pi\)
\(618\) 18.3655 + 4.71821i 0.738769 + 0.189794i
\(619\) 33.9761 3.34636i 1.36562 0.134502i 0.611501 0.791243i \(-0.290566\pi\)
0.754115 + 0.656742i \(0.228066\pi\)
\(620\) 3.53502 + 5.43123i 0.141970 + 0.218123i
\(621\) 0.563302 + 1.85696i 0.0226045 + 0.0745171i
\(622\) −0.760825 3.11702i −0.0305063 0.124981i
\(623\) −19.0028 + 45.8768i −0.761331 + 1.83801i
\(624\) 6.47845 14.6317i 0.259346 0.585737i
\(625\) −8.19715 19.7897i −0.327886 0.791587i
\(626\) 3.78853 2.77450i 0.151420 0.110891i
\(627\) 1.92510 3.60160i 0.0768809 0.143834i
\(628\) −0.556273 + 46.1144i −0.0221977 + 1.84016i
\(629\) 10.4606 12.7463i 0.417093 0.508230i
\(630\) 1.48173 + 1.11284i 0.0590334 + 0.0443365i
\(631\) −42.1581 8.38576i −1.67829 0.333832i −0.738152 0.674635i \(-0.764301\pi\)
−0.940135 + 0.340803i \(0.889301\pi\)
\(632\) −0.360029 2.77176i −0.0143212 0.110255i
\(633\) 0.973052 + 4.89186i 0.0386753 + 0.194434i
\(634\) 6.12174 2.14883i 0.243125 0.0853411i
\(635\) −6.15129 + 3.28793i −0.244106 + 0.130478i
\(636\) −0.420296 4.86872i −0.0166658 0.193057i
\(637\) −0.0305916 + 0.310601i −0.00121208 + 0.0123065i
\(638\) 7.14867 + 15.3535i 0.283019 + 0.607851i
\(639\) −1.17346 −0.0464213
\(640\) −5.13330 + 2.16771i −0.202912 + 0.0856865i
\(641\) −3.91889 −0.154787 −0.0773933 0.997001i \(-0.524660\pi\)
−0.0773933 + 0.997001i \(0.524660\pi\)
\(642\) 8.44649 + 18.1409i 0.333357 + 0.715964i
\(643\) −1.16580 + 11.8365i −0.0459745 + 0.466787i 0.944442 + 0.328677i \(0.106603\pi\)
−0.990417 + 0.138110i \(0.955897\pi\)
\(644\) 10.2870 0.888039i 0.405366 0.0349936i
\(645\) −2.90814 + 1.55443i −0.114508 + 0.0612058i
\(646\) 8.52891 2.99379i 0.335566 0.117789i
\(647\) −4.73645 23.8117i −0.186209 0.936136i −0.954993 0.296628i \(-0.904138\pi\)
0.768784 0.639508i \(-0.220862\pi\)
\(648\) −1.72572 + 2.24096i −0.0677926 + 0.0880332i
\(649\) −3.90148 0.776052i −0.153146 0.0304627i
\(650\) −21.5213 16.1634i −0.844134 0.633979i
\(651\) 11.1034 13.5296i 0.435177 0.530265i
\(652\) 0.557929 + 0.00673023i 0.0218502 + 0.000263576i
\(653\) −7.37339 + 13.7946i −0.288543 + 0.539826i −0.983874 0.178864i \(-0.942758\pi\)
0.695331 + 0.718690i \(0.255258\pi\)
\(654\) −10.5847 + 7.75164i −0.413895 + 0.303113i
\(655\) −0.772165 1.86417i −0.0301710 0.0728392i
\(656\) 29.0541 27.6850i 1.13437 1.08092i
\(657\) 3.43377 8.28986i 0.133964 0.323418i
\(658\) −7.53613 30.8748i −0.293789 1.20362i
\(659\) 13.9483 + 45.9815i 0.543350 + 1.79119i 0.608793 + 0.793329i \(0.291654\pi\)
−0.0654429 + 0.997856i \(0.520846\pi\)
\(660\) −1.19285 + 0.776391i −0.0464317 + 0.0302210i
\(661\) 22.5086 2.21691i 0.875484 0.0862277i 0.349716 0.936856i \(-0.386278\pi\)
0.525768 + 0.850628i \(0.323778\pi\)
\(662\) 42.5776 + 10.9385i 1.65483 + 0.425135i
\(663\) 7.52193 5.02599i 0.292128 0.195193i
\(664\) −0.551425 17.7857i −0.0213994 0.690219i
\(665\) 2.05757 3.07937i 0.0797891 0.119413i
\(666\) 10.2963 + 0.568091i 0.398973 + 0.0220131i
\(667\) −4.66886 + 15.3912i −0.180779 + 0.595948i
\(668\) 0.836381 0.242736i 0.0323606 0.00939174i
\(669\) −3.35005 + 2.74932i −0.129521 + 0.106295i
\(670\) −2.44789 + 2.66831i −0.0945701 + 0.103086i
\(671\) 5.14217 5.14217i 0.198511 0.198511i
\(672\) 9.76601 + 11.4508i 0.376732 + 0.441725i
\(673\) −9.25626 9.25626i −0.356803 0.356803i 0.505830 0.862633i \(-0.331186\pi\)
−0.862633 + 0.505830i \(0.831186\pi\)
\(674\) 4.11316 0.177207i 0.158433 0.00682574i
\(675\) 3.01808 + 3.67754i 0.116166 + 0.141549i
\(676\) −5.97063 0.660864i −0.229640 0.0254179i
\(677\) −19.6957 5.97462i −0.756967 0.229623i −0.111869 0.993723i \(-0.535684\pi\)
−0.645098 + 0.764100i \(0.723184\pi\)
\(678\) 2.62210 2.34788i 0.100701 0.0901699i
\(679\) −13.8818 9.27552i −0.532734 0.355962i
\(680\) −3.10727 0.518540i −0.119158 0.0198851i
\(681\) 2.40356 + 3.59718i 0.0921046 + 0.137844i
\(682\) 6.84129 + 11.5717i 0.261966 + 0.443103i
\(683\) 1.52620 + 15.4958i 0.0583985 + 0.592930i 0.979200 + 0.202898i \(0.0650361\pi\)
−0.920801 + 0.390032i \(0.872464\pi\)
\(684\) 4.66192 + 3.19700i 0.178253 + 0.122240i
\(685\) 0.972766 0.295085i 0.0371675 0.0112746i
\(686\) 22.2572 + 13.5236i 0.849784 + 0.516333i
\(687\) −12.4712 5.16574i −0.475806 0.197085i
\(688\) −25.8076 + 7.15356i −0.983904 + 0.272727i
\(689\) −9.03067 + 3.74063i −0.344041 + 0.142507i
\(690\) −1.33578 0.206385i −0.0508521 0.00785693i
\(691\) 0.0903652 + 0.0483012i 0.00343765 + 0.00183746i 0.473115 0.881001i \(-0.343130\pi\)
−0.469677 + 0.882838i \(0.655630\pi\)
\(692\) 14.8944 34.7661i 0.566199 1.32161i
\(693\) 2.97147 + 2.43862i 0.112877 + 0.0926357i
\(694\) −20.5963 + 2.92833i −0.781826 + 0.111158i
\(695\) −0.761210 + 3.82686i −0.0288743 + 0.145161i
\(696\) −22.2119 + 7.49708i −0.841942 + 0.284176i
\(697\) 22.2527 4.42633i 0.842880 0.167659i
\(698\) 35.8186 + 17.2061i 1.35575 + 0.651259i
\(699\) −10.0844 18.8666i −0.381428 0.713601i
\(700\) 22.4671 11.6627i 0.849177 0.440809i
\(701\) 13.7625 + 1.35548i 0.519801 + 0.0511959i 0.354516 0.935050i \(-0.384646\pi\)
0.165285 + 0.986246i \(0.447146\pi\)
\(702\) 5.31518 + 1.93804i 0.200608 + 0.0731466i
\(703\) 20.6092i 0.777289i
\(704\) −10.8322 + 4.03418i −0.408253 + 0.152044i
\(705\) 4.16029i 0.156686i
\(706\) −16.5907 + 45.5008i −0.624398 + 1.71245i
\(707\) −17.9690 1.76979i −0.675793 0.0665598i
\(708\) 1.66182 5.24947i 0.0624548 0.197287i
\(709\) −3.52612 6.59691i −0.132426 0.247752i 0.806965 0.590599i \(-0.201109\pi\)
−0.939391 + 0.342847i \(0.888609\pi\)
\(710\) 0.353911 0.736752i 0.0132820 0.0276498i
\(711\) 0.969209 0.192788i 0.0363482 0.00723010i
\(712\) 39.7512 34.7393i 1.48974 1.30191i
\(713\) −2.49055 + 12.5208i −0.0932718 + 0.468909i
\(714\) 1.19765 + 8.42364i 0.0448210 + 0.315247i
\(715\) 2.20064 + 1.80602i 0.0822992 + 0.0675412i
\(716\) 35.4500 14.1854i 1.32483 0.530132i
\(717\) −16.9914 9.08207i −0.634554 0.339176i
\(718\) 6.03539 39.0626i 0.225239 1.45780i
\(719\) −27.9684 + 11.5849i −1.04304 + 0.432043i −0.837404 0.546584i \(-0.815928\pi\)
−0.205641 + 0.978628i \(0.565928\pi\)
\(720\) −0.886509 1.75935i −0.0330382 0.0655673i
\(721\) 32.9562 + 13.6509i 1.22735 + 0.508387i
\(722\) −8.08627 + 13.3084i −0.300940 + 0.495289i
\(723\) −1.09019 + 0.330707i −0.0405448 + 0.0122991i
\(724\) 34.3852 6.40948i 1.27792 0.238206i
\(725\) 3.86494 + 39.2414i 0.143540 + 1.45739i
\(726\) 10.8496 6.41440i 0.402668 0.238061i
\(727\) −13.2802 19.8753i −0.492536 0.737133i 0.499051 0.866573i \(-0.333682\pi\)
−0.991587 + 0.129440i \(0.958682\pi\)
\(728\) 15.9406 25.5359i 0.590799 0.946425i
\(729\) −0.831470 0.555570i −0.0307952 0.0205767i
\(730\) 4.16915 + 4.65608i 0.154307 + 0.172329i
\(731\) −14.4884 4.39501i −0.535873 0.162555i
\(732\) 6.29153 + 7.85765i 0.232542 + 0.290427i
\(733\) 6.65579 + 8.11010i 0.245837 + 0.299553i 0.881280 0.472595i \(-0.156682\pi\)
−0.635443 + 0.772148i \(0.719182\pi\)
\(734\) 1.53875 + 35.7160i 0.0567961 + 1.31830i
\(735\) 0.0271707 + 0.0271707i 0.00100221 + 0.00100221i
\(736\) −10.2193 4.00806i −0.376689 0.147739i
\(737\) −5.31142 + 5.31142i −0.195649 + 0.195649i
\(738\) 10.4556 + 9.59192i 0.384877 + 0.353083i
\(739\) −20.0355 + 16.4427i −0.737019 + 0.604856i −0.926176 0.377091i \(-0.876924\pi\)
0.189157 + 0.981947i \(0.439424\pi\)
\(740\) −3.46200 + 6.29316i −0.127266 + 0.231341i
\(741\) 3.28222 10.8200i 0.120575 0.397483i
\(742\) 0.506460 9.17925i 0.0185927 0.336981i
\(743\) 26.1282 39.1036i 0.958550 1.43457i 0.0587475 0.998273i \(-0.481289\pi\)
0.899802 0.436298i \(-0.143711\pi\)
\(744\) −16.9621 + 7.65008i −0.621862 + 0.280466i
\(745\) −3.33948 + 2.23137i −0.122349 + 0.0817511i
\(746\) 9.14344 35.5906i 0.334765 1.30306i
\(747\) 6.26092 0.616647i 0.229075 0.0225619i
\(748\) −6.39344 1.35210i −0.233767 0.0494377i
\(749\) 10.9278 + 36.0240i 0.399292 + 1.31629i
\(750\) −6.60249 + 1.61158i −0.241089 + 0.0588467i
\(751\) −19.9279 + 48.1101i −0.727178 + 1.75556i −0.0753992 + 0.997153i \(0.524023\pi\)
−0.651779 + 0.758409i \(0.725977\pi\)
\(752\) −7.38913 + 32.9699i −0.269454 + 1.20229i
\(753\) 5.48753 + 13.2481i 0.199977 + 0.482787i
\(754\) 27.7055 + 37.8312i 1.00897 + 1.37773i
\(755\) 0.823196 1.54009i 0.0299592 0.0560496i
\(756\) −3.80756 + 3.71679i −0.138480 + 0.135178i
\(757\) −6.43586 + 7.84212i −0.233915 + 0.285027i −0.876718 0.481006i \(-0.840272\pi\)
0.642802 + 0.766032i \(0.277772\pi\)
\(758\) −2.43680 + 3.24457i −0.0885087 + 0.117848i
\(759\) −2.74993 0.546995i −0.0998161 0.0198547i
\(760\) −3.41325 + 1.96277i −0.123812 + 0.0711972i
\(761\) 2.47540 + 12.4447i 0.0897332 + 0.451119i 0.999363 + 0.0356987i \(0.0113656\pi\)
−0.909629 + 0.415421i \(0.863634\pi\)
\(762\) −6.63321 18.8971i −0.240296 0.684570i
\(763\) −21.7666 + 11.6345i −0.788005 + 0.421197i
\(764\) −15.8662 13.3445i −0.574019 0.482789i
\(765\) 0.109169 1.10842i 0.00394703 0.0400749i
\(766\) −19.1686 + 8.92499i −0.692588 + 0.322473i
\(767\) −11.0137 −0.397681
\(768\) −3.90069 15.5172i −0.140754 0.559930i
\(769\) 23.3694 0.842721 0.421360 0.906893i \(-0.361553\pi\)
0.421360 + 0.906893i \(0.361553\pi\)
\(770\) −2.42727 + 1.13015i −0.0874728 + 0.0407278i
\(771\) 0.637418 6.47181i 0.0229560 0.233077i
\(772\) 26.5898 + 22.3638i 0.956988 + 0.804892i
\(773\) −16.3860 + 8.75851i −0.589364 + 0.315022i −0.738985