Properties

Label 403.2.l.c.25.11
Level 403
Weight 2
Character 403.25
Analytic conductor 3.218
Analytic rank 0
Dimension 68
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.l (of order \(6\) and degree \(2\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(68\)
Relative dimension: \(34\) over \(\Q(\zeta_{6})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 25.11
Character \(\chi\) = 403.25
Dual form 403.2.l.c.129.24

$q$-expansion

\(f(q)\) \(=\) \(q-1.25574i q^{2} +(-1.30537 - 2.26097i) q^{3} +0.423126 q^{4} +(-3.09634 - 1.78767i) q^{5} +(-2.83918 + 1.63920i) q^{6} +(4.10494 - 2.36999i) q^{7} -3.04281i q^{8} +(-1.90798 + 3.30473i) q^{9} +O(q^{10})\) \(q-1.25574i q^{2} +(-1.30537 - 2.26097i) q^{3} +0.423126 q^{4} +(-3.09634 - 1.78767i) q^{5} +(-2.83918 + 1.63920i) q^{6} +(4.10494 - 2.36999i) q^{7} -3.04281i q^{8} +(-1.90798 + 3.30473i) q^{9} +(-2.24485 + 3.88819i) q^{10} +(-2.82635 - 1.63179i) q^{11} +(-0.552336 - 0.956674i) q^{12} +(3.60302 - 0.135201i) q^{13} +(-2.97608 - 5.15472i) q^{14} +9.33430i q^{15} -2.97471 q^{16} +(3.60493 + 6.24392i) q^{17} +(4.14987 + 2.39593i) q^{18} +(0.759270 - 0.438365i) q^{19} +(-1.31014 - 0.756411i) q^{20} +(-10.7169 - 6.18743i) q^{21} +(-2.04910 + 3.54915i) q^{22} -1.57501 q^{23} +(-6.87969 + 3.97199i) q^{24} +(3.89155 + 6.74037i) q^{25} +(-0.169777 - 4.52444i) q^{26} +2.13028 q^{27} +(1.73691 - 1.00280i) q^{28} +8.05616 q^{29} +11.7214 q^{30} +(-2.77654 + 4.82606i) q^{31} -2.35016i q^{32} +8.52037i q^{33} +(7.84071 - 4.52684i) q^{34} -16.9471 q^{35} +(-0.807318 + 1.39832i) q^{36} +(-0.365143 + 0.210815i) q^{37} +(-0.550471 - 0.953443i) q^{38} +(-5.00896 - 7.96982i) q^{39} +(-5.43955 + 9.42157i) q^{40} +(3.53994 + 2.04378i) q^{41} +(-7.76978 + 13.4576i) q^{42} +(1.23636 + 2.14143i) q^{43} +(-1.19590 - 0.690453i) q^{44} +(11.8155 - 6.82171i) q^{45} +1.97780i q^{46} +1.10959i q^{47} +(3.88310 + 6.72573i) q^{48} +(7.73369 - 13.3951i) q^{49} +(8.46412 - 4.88676i) q^{50} +(9.41153 - 16.3013i) q^{51} +(1.52453 - 0.0572071i) q^{52} +(2.26251 - 3.91878i) q^{53} -2.67508i q^{54} +(5.83422 + 10.1052i) q^{55} +(-7.21142 - 12.4905i) q^{56} +(-1.98226 - 1.14446i) q^{57} -10.1164i q^{58} +(4.16486 - 2.40458i) q^{59} +3.94959i q^{60} -4.81018 q^{61} +(6.06026 + 3.48660i) q^{62} +18.0876i q^{63} -8.90061 q^{64} +(-11.3979 - 6.02239i) q^{65} +10.6993 q^{66} +(-7.22046 - 4.16873i) q^{67} +(1.52534 + 2.64196i) q^{68} +(2.05597 + 3.56105i) q^{69} +21.2810i q^{70} +(-8.82343 - 5.09421i) q^{71} +(10.0556 + 5.80563i) q^{72} +(0.353021 + 0.203817i) q^{73} +(0.264729 + 0.458523i) q^{74} +(10.1598 - 17.5973i) q^{75} +(0.321267 - 0.185484i) q^{76} -15.4693 q^{77} +(-10.0080 + 6.28993i) q^{78} +(-7.65472 - 13.2584i) q^{79} +(9.21072 + 5.31781i) q^{80} +(2.94314 + 5.09767i) q^{81} +(2.56645 - 4.44523i) q^{82} +(9.29950 + 5.36907i) q^{83} +(-4.53461 - 2.61806i) q^{84} -25.7777i q^{85} +(2.68907 - 1.55254i) q^{86} +(-10.5163 - 18.2147i) q^{87} +(-4.96523 + 8.60003i) q^{88} +13.7847i q^{89} +(-8.56627 - 14.8372i) q^{90} +(14.4697 - 9.09410i) q^{91} -0.666427 q^{92} +(14.5360 - 0.0221361i) q^{93} +1.39336 q^{94} -3.13461 q^{95} +(-5.31364 + 3.06783i) q^{96} +6.98265i q^{97} +(-16.8208 - 9.71148i) q^{98} +(10.7852 - 6.22687i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + O(q^{10}) \) \( 68q - 6q^{3} - 76q^{4} - 40q^{9} + 8q^{10} - 10q^{12} - 3q^{13} + 10q^{14} + 84q^{16} + 6q^{17} + 4q^{22} - 44q^{23} + 30q^{25} - 3q^{26} - 12q^{27} + 48q^{29} - 4q^{30} - 48q^{35} + 40q^{36} + 60q^{38} - 14q^{39} + 20q^{40} - 10q^{42} - 12q^{43} + 32q^{48} + 58q^{49} + 20q^{51} - 27q^{52} + 8q^{53} - 36q^{55} - 50q^{56} - 12q^{61} - 74q^{62} - 15q^{65} + 164q^{66} + 4q^{68} - 34q^{69} - 4q^{74} + 20q^{75} - 200q^{77} - 58q^{78} - 80q^{79} - 82q^{81} - 66q^{82} + 52q^{87} + 16q^{88} - 14q^{90} - 70q^{91} + 108q^{92} - 4q^{94} + 76q^{95} + O(q^{100}) \)

Character Values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.25574i 0.887940i −0.896042 0.443970i \(-0.853570\pi\)
0.896042 0.443970i \(-0.146430\pi\)
\(3\) −1.30537 2.26097i −0.753656 1.30537i −0.946040 0.324051i \(-0.894955\pi\)
0.192384 0.981320i \(-0.438378\pi\)
\(4\) 0.423126 0.211563
\(5\) −3.09634 1.78767i −1.38473 0.799472i −0.392011 0.919960i \(-0.628221\pi\)
−0.992715 + 0.120489i \(0.961554\pi\)
\(6\) −2.83918 + 1.63920i −1.15909 + 0.669201i
\(7\) 4.10494 2.36999i 1.55152 0.895772i 0.553504 0.832847i \(-0.313291\pi\)
0.998018 0.0629247i \(-0.0200428\pi\)
\(8\) 3.04281i 1.07579i
\(9\) −1.90798 + 3.30473i −0.635995 + 1.10158i
\(10\) −2.24485 + 3.88819i −0.709883 + 1.22955i
\(11\) −2.82635 1.63179i −0.852175 0.492004i 0.00920887 0.999958i \(-0.497069\pi\)
−0.861384 + 0.507954i \(0.830402\pi\)
\(12\) −0.552336 0.956674i −0.159446 0.276168i
\(13\) 3.60302 0.135201i 0.999297 0.0374981i
\(14\) −2.97608 5.15472i −0.795391 1.37766i
\(15\) 9.33430i 2.41011i
\(16\) −2.97471 −0.743678
\(17\) 3.60493 + 6.24392i 0.874323 + 1.51437i 0.857482 + 0.514514i \(0.172028\pi\)
0.0168414 + 0.999858i \(0.494639\pi\)
\(18\) 4.14987 + 2.39593i 0.978133 + 0.564725i
\(19\) 0.759270 0.438365i 0.174189 0.100568i −0.410371 0.911919i \(-0.634601\pi\)
0.584559 + 0.811351i \(0.301267\pi\)
\(20\) −1.31014 0.756411i −0.292957 0.169139i
\(21\) −10.7169 6.18743i −2.33863 1.35021i
\(22\) −2.04910 + 3.54915i −0.436870 + 0.756680i
\(23\) −1.57501 −0.328412 −0.164206 0.986426i \(-0.552506\pi\)
−0.164206 + 0.986426i \(0.552506\pi\)
\(24\) −6.87969 + 3.97199i −1.40431 + 0.810779i
\(25\) 3.89155 + 6.74037i 0.778310 + 1.34807i
\(26\) −0.169777 4.52444i −0.0332960 0.887315i
\(27\) 2.13028 0.409973
\(28\) 1.73691 1.00280i 0.328245 0.189512i
\(29\) 8.05616 1.49599 0.747995 0.663704i \(-0.231017\pi\)
0.747995 + 0.663704i \(0.231017\pi\)
\(30\) 11.7214 2.14003
\(31\) −2.77654 + 4.82606i −0.498681 + 0.866786i
\(32\) 2.35016i 0.415454i
\(33\) 8.52037i 1.48321i
\(34\) 7.84071 4.52684i 1.34467 0.776346i
\(35\) −16.9471 −2.86458
\(36\) −0.807318 + 1.39832i −0.134553 + 0.233053i
\(37\) −0.365143 + 0.210815i −0.0600291 + 0.0346578i −0.529714 0.848176i \(-0.677701\pi\)
0.469685 + 0.882834i \(0.344367\pi\)
\(38\) −0.550471 0.953443i −0.0892981 0.154669i
\(39\) −5.00896 7.96982i −0.802075 1.27619i
\(40\) −5.43955 + 9.42157i −0.860068 + 1.48968i
\(41\) 3.53994 + 2.04378i 0.552846 + 0.319186i 0.750269 0.661133i \(-0.229924\pi\)
−0.197423 + 0.980318i \(0.563257\pi\)
\(42\) −7.76978 + 13.4576i −1.19890 + 2.07656i
\(43\) 1.23636 + 2.14143i 0.188542 + 0.326565i 0.944764 0.327750i \(-0.106290\pi\)
−0.756222 + 0.654315i \(0.772957\pi\)
\(44\) −1.19590 0.690453i −0.180289 0.104090i
\(45\) 11.8155 6.82171i 1.76136 1.01692i
\(46\) 1.97780i 0.291610i
\(47\) 1.10959i 0.161851i 0.996720 + 0.0809253i \(0.0257875\pi\)
−0.996720 + 0.0809253i \(0.974212\pi\)
\(48\) 3.88310 + 6.72573i 0.560478 + 0.970776i
\(49\) 7.73369 13.3951i 1.10481 1.91359i
\(50\) 8.46412 4.88676i 1.19701 0.691093i
\(51\) 9.41153 16.3013i 1.31788 2.28263i
\(52\) 1.52453 0.0572071i 0.211414 0.00793320i
\(53\) 2.26251 3.91878i 0.310780 0.538286i −0.667752 0.744384i \(-0.732743\pi\)
0.978531 + 0.206098i \(0.0660765\pi\)
\(54\) 2.67508i 0.364032i
\(55\) 5.83422 + 10.1052i 0.786686 + 1.36258i
\(56\) −7.21142 12.4905i −0.963666 1.66912i
\(57\) −1.98226 1.14446i −0.262556 0.151587i
\(58\) 10.1164i 1.32835i
\(59\) 4.16486 2.40458i 0.542218 0.313050i −0.203759 0.979021i \(-0.565316\pi\)
0.745977 + 0.665971i \(0.231983\pi\)
\(60\) 3.94959i 0.509889i
\(61\) −4.81018 −0.615880 −0.307940 0.951406i \(-0.599640\pi\)
−0.307940 + 0.951406i \(0.599640\pi\)
\(62\) 6.06026 + 3.48660i 0.769654 + 0.442798i
\(63\) 18.0876i 2.27882i
\(64\) −8.90061 −1.11258
\(65\) −11.3979 6.02239i −1.41373 0.746985i
\(66\) 10.6993 1.31700
\(67\) −7.22046 4.16873i −0.882119 0.509292i −0.0107625 0.999942i \(-0.503426\pi\)
−0.871357 + 0.490650i \(0.836759\pi\)
\(68\) 1.52534 + 2.64196i 0.184974 + 0.320385i
\(69\) 2.05597 + 3.56105i 0.247510 + 0.428700i
\(70\) 21.2810i 2.54357i
\(71\) −8.82343 5.09421i −1.04715 0.604571i −0.125298 0.992119i \(-0.539989\pi\)
−0.921850 + 0.387548i \(0.873322\pi\)
\(72\) 10.0556 + 5.80563i 1.18507 + 0.684200i
\(73\) 0.353021 + 0.203817i 0.0413180 + 0.0238550i 0.520517 0.853851i \(-0.325739\pi\)
−0.479199 + 0.877706i \(0.659073\pi\)
\(74\) 0.264729 + 0.458523i 0.0307741 + 0.0533023i
\(75\) 10.1598 17.5973i 1.17316 2.03197i
\(76\) 0.321267 0.185484i 0.0368518 0.0212764i
\(77\) −15.4693 −1.76289
\(78\) −10.0080 + 6.28993i −1.13318 + 0.712194i
\(79\) −7.65472 13.2584i −0.861223 1.49168i −0.870749 0.491728i \(-0.836365\pi\)
0.00952566 0.999955i \(-0.496968\pi\)
\(80\) 9.21072 + 5.31781i 1.02979 + 0.594550i
\(81\) 2.94314 + 5.09767i 0.327016 + 0.566408i
\(82\) 2.56645 4.44523i 0.283418 0.490894i
\(83\) 9.29950 + 5.36907i 1.02075 + 0.589332i 0.914322 0.404989i \(-0.132724\pi\)
0.106431 + 0.994320i \(0.466058\pi\)
\(84\) −4.53461 2.61806i −0.494767 0.285654i
\(85\) 25.7777i 2.79599i
\(86\) 2.68907 1.55254i 0.289970 0.167414i
\(87\) −10.5163 18.2147i −1.12746 1.95282i
\(88\) −4.96523 + 8.60003i −0.529295 + 0.916766i
\(89\) 13.7847i 1.46118i 0.682818 + 0.730588i \(0.260754\pi\)
−0.682818 + 0.730588i \(0.739246\pi\)
\(90\) −8.56627 14.8372i −0.902964 1.56398i
\(91\) 14.4697 9.09410i 1.51684 0.953321i
\(92\) −0.666427 −0.0694799
\(93\) 14.5360 0.0221361i 1.50731 0.00229541i
\(94\) 1.39336 0.143714
\(95\) −3.13461 −0.321604
\(96\) −5.31364 + 3.06783i −0.542321 + 0.313109i
\(97\) 6.98265i 0.708981i 0.935060 + 0.354490i \(0.115346\pi\)
−0.935060 + 0.354490i \(0.884654\pi\)
\(98\) −16.8208 9.71148i −1.69916 0.981008i
\(99\) 10.7852 6.22687i 1.08396 0.625824i
\(100\) 1.64662 + 2.85202i 0.164662 + 0.285202i
\(101\) −0.504980 −0.0502474 −0.0251237 0.999684i \(-0.507998\pi\)
−0.0251237 + 0.999684i \(0.507998\pi\)
\(102\) −20.4701 11.8184i −2.02684 1.17020i
\(103\) 3.88023 6.72076i 0.382331 0.662216i −0.609064 0.793121i \(-0.708455\pi\)
0.991395 + 0.130905i \(0.0417882\pi\)
\(104\) −0.411391 10.9633i −0.0403402 1.07504i
\(105\) 22.1222 + 38.3168i 2.15891 + 3.73933i
\(106\) −4.92096 2.84112i −0.477966 0.275954i
\(107\) −4.42343 7.66160i −0.427629 0.740675i 0.569033 0.822315i \(-0.307318\pi\)
−0.996662 + 0.0816397i \(0.973984\pi\)
\(108\) 0.901379 0.0867352
\(109\) 6.25922i 0.599525i −0.954014 0.299762i \(-0.903093\pi\)
0.954014 0.299762i \(-0.0969074\pi\)
\(110\) 12.6894 7.32624i 1.20989 0.698530i
\(111\) 0.953294 + 0.550384i 0.0904826 + 0.0522402i
\(112\) −12.2110 + 7.05004i −1.15383 + 0.666166i
\(113\) 0.965617 1.67250i 0.0908376 0.157335i −0.817026 0.576601i \(-0.804379\pi\)
0.907864 + 0.419265i \(0.137712\pi\)
\(114\) −1.43714 + 2.48919i −0.134600 + 0.233134i
\(115\) 4.87677 + 2.81560i 0.454761 + 0.262556i
\(116\) 3.40877 0.316496
\(117\) −6.42770 + 12.1649i −0.594241 + 1.12465i
\(118\) −3.01952 5.22996i −0.277969 0.481457i
\(119\) 29.5960 + 17.0873i 2.71306 + 1.56639i
\(120\) 28.4025 2.59278
\(121\) −0.174512 0.302264i −0.0158647 0.0274785i
\(122\) 6.04032i 0.546865i
\(123\) 10.6716i 0.962224i
\(124\) −1.17482 + 2.04203i −0.105502 + 0.183380i
\(125\) 9.95056i 0.890005i
\(126\) 22.7133 2.02346
\(127\) 6.19188 + 10.7247i 0.549441 + 0.951659i 0.998313 + 0.0580630i \(0.0184924\pi\)
−0.448872 + 0.893596i \(0.648174\pi\)
\(128\) 6.47650i 0.572447i
\(129\) 3.22780 5.59072i 0.284192 0.492236i
\(130\) −7.56253 + 14.3127i −0.663278 + 1.25531i
\(131\) 2.41260 + 4.17874i 0.210789 + 0.365098i 0.951962 0.306217i \(-0.0990632\pi\)
−0.741172 + 0.671315i \(0.765730\pi\)
\(132\) 3.60519i 0.313791i
\(133\) 2.07784 3.59892i 0.180172 0.312066i
\(134\) −5.23483 + 9.06699i −0.452220 + 0.783269i
\(135\) −6.59609 3.80825i −0.567701 0.327762i
\(136\) 18.9990 10.9691i 1.62915 0.940593i
\(137\) 7.61691 + 4.39762i 0.650756 + 0.375714i 0.788746 0.614719i \(-0.210731\pi\)
−0.137990 + 0.990434i \(0.544064\pi\)
\(138\) 4.47174 2.58176i 0.380659 0.219774i
\(139\) 3.91496 0.332062 0.166031 0.986121i \(-0.446905\pi\)
0.166031 + 0.986121i \(0.446905\pi\)
\(140\) −7.17074 −0.606038
\(141\) 2.50875 1.44843i 0.211275 0.121980i
\(142\) −6.39698 + 11.0799i −0.536823 + 0.929804i
\(143\) −10.4040 5.49725i −0.870025 0.459703i
\(144\) 5.67571 9.83061i 0.472975 0.819218i
\(145\) −24.9446 14.4018i −2.07154 1.19600i
\(146\) 0.255940 0.443301i 0.0211818 0.0366879i
\(147\) −40.3813 −3.33060
\(148\) −0.154501 + 0.0892015i −0.0126999 + 0.00733231i
\(149\) −1.79342 + 1.03543i −0.146923 + 0.0848261i −0.571659 0.820491i \(-0.693700\pi\)
0.424736 + 0.905317i \(0.360367\pi\)
\(150\) −22.0976 12.7581i −1.80426 1.04169i
\(151\) 1.90494i 0.155022i 0.996991 + 0.0775111i \(0.0246973\pi\)
−0.996991 + 0.0775111i \(0.975303\pi\)
\(152\) −1.33386 2.31031i −0.108190 0.187391i
\(153\) −27.5126 −2.22426
\(154\) 19.4254i 1.56534i
\(155\) 17.2245 9.97959i 1.38351 0.801580i
\(156\) −2.11942 3.37224i −0.169689 0.269995i
\(157\) 0.668225 0.0533302 0.0266651 0.999644i \(-0.491511\pi\)
0.0266651 + 0.999644i \(0.491511\pi\)
\(158\) −16.6490 + 9.61231i −1.32452 + 0.764714i
\(159\) −11.8137 −0.936884
\(160\) −4.20132 + 7.27690i −0.332143 + 0.575289i
\(161\) −6.46532 + 3.73276i −0.509539 + 0.294182i
\(162\) 6.40133 3.69581i 0.502936 0.290370i
\(163\) 18.4685i 1.44656i 0.690554 + 0.723281i \(0.257367\pi\)
−0.690554 + 0.723281i \(0.742633\pi\)
\(164\) 1.49784 + 0.864778i 0.116962 + 0.0675278i
\(165\) 15.2316 26.3820i 1.18578 2.05383i
\(166\) 6.74213 11.6777i 0.523291 0.906367i
\(167\) −3.83547 + 2.21441i −0.296798 + 0.171356i −0.641003 0.767538i \(-0.721482\pi\)
0.344206 + 0.938894i \(0.388148\pi\)
\(168\) −18.8271 + 32.6096i −1.45255 + 2.51588i
\(169\) 12.9634 0.974264i 0.997188 0.0749434i
\(170\) −32.3700 −2.48267
\(171\) 3.34557i 0.255842i
\(172\) 0.523134 + 0.906095i 0.0398886 + 0.0690891i
\(173\) −8.93423 + 15.4745i −0.679257 + 1.17651i 0.295948 + 0.955204i \(0.404365\pi\)
−0.975205 + 0.221304i \(0.928969\pi\)
\(174\) −22.8729 + 13.2057i −1.73399 + 1.00112i
\(175\) 31.9492 + 18.4459i 2.41513 + 1.39438i
\(176\) 8.40757 + 4.85411i 0.633744 + 0.365892i
\(177\) −10.8734 6.27774i −0.817292 0.471864i
\(178\) 17.3100 1.29744
\(179\) 6.88072 + 11.9178i 0.514289 + 0.890775i 0.999863 + 0.0165789i \(0.00527745\pi\)
−0.485574 + 0.874196i \(0.661389\pi\)
\(180\) 4.99946 2.88644i 0.372638 0.215143i
\(181\) −7.53510 + 13.0512i −0.560079 + 0.970086i 0.437409 + 0.899262i \(0.355896\pi\)
−0.997489 + 0.0708236i \(0.977437\pi\)
\(182\) −11.4198 18.1702i −0.846491 1.34686i
\(183\) 6.27907 + 10.8757i 0.464162 + 0.803952i
\(184\) 4.79245i 0.353304i
\(185\) 1.50748 0.110832
\(186\) −0.0277971 18.2534i −0.00203818 1.33840i
\(187\) 23.5300i 1.72068i
\(188\) 0.469497i 0.0342416i
\(189\) 8.74469 5.04875i 0.636083 0.367243i
\(190\) 3.93625i 0.285565i
\(191\) −0.800061 + 1.38575i −0.0578904 + 0.100269i −0.893518 0.449027i \(-0.851771\pi\)
0.835628 + 0.549296i \(0.185104\pi\)
\(192\) 11.6186 + 20.1240i 0.838500 + 1.45232i
\(193\) −2.85669 + 1.64931i −0.205629 + 0.118720i −0.599278 0.800541i \(-0.704546\pi\)
0.393649 + 0.919261i \(0.371212\pi\)
\(194\) 8.76837 0.629532
\(195\) 1.26201 + 33.6316i 0.0903744 + 2.40841i
\(196\) 3.27233 5.66783i 0.233738 0.404845i
\(197\) −10.5267 6.07757i −0.749994 0.433009i 0.0756977 0.997131i \(-0.475882\pi\)
−0.825692 + 0.564122i \(0.809215\pi\)
\(198\) −7.81930 13.5434i −0.555694 0.962490i
\(199\) 8.17718 14.1633i 0.579665 1.00401i −0.415853 0.909432i \(-0.636517\pi\)
0.995518 0.0945770i \(-0.0301499\pi\)
\(200\) 20.5096 11.8412i 1.45025 0.837302i
\(201\) 21.7670i 1.53532i
\(202\) 0.634122i 0.0446166i
\(203\) 33.0700 19.0930i 2.32106 1.34007i
\(204\) 3.98226 6.89748i 0.278814 0.482920i
\(205\) −7.30724 12.6565i −0.510360 0.883969i
\(206\) −8.43950 4.87255i −0.588008 0.339487i
\(207\) 3.00509 5.20498i 0.208869 0.361771i
\(208\) −10.7179 + 0.402185i −0.743155 + 0.0278865i
\(209\) −2.86128 −0.197919
\(210\) 48.1158 27.7796i 3.32030 1.91698i
\(211\) −1.24958 2.16433i −0.0860244 0.148999i 0.819803 0.572646i \(-0.194083\pi\)
−0.905827 + 0.423647i \(0.860750\pi\)
\(212\) 0.957327 1.65814i 0.0657495 0.113881i
\(213\) 26.5993i 1.82255i
\(214\) −9.62095 + 5.55466i −0.657675 + 0.379709i
\(215\) 8.84080i 0.602937i
\(216\) 6.48205i 0.441047i
\(217\) 0.0401896 + 26.3910i 0.00272825 + 1.79154i
\(218\) −7.85993 −0.532342
\(219\) 1.06423i 0.0719137i
\(220\) 2.46861 + 4.27576i 0.166434 + 0.288272i
\(221\) 13.8328 + 22.0095i 0.930494 + 1.48052i
\(222\) 0.691138 1.19709i 0.0463861 0.0803431i
\(223\) −4.45662 + 2.57303i −0.298437 + 0.172303i −0.641741 0.766922i \(-0.721787\pi\)
0.343303 + 0.939225i \(0.388454\pi\)
\(224\) −5.56985 9.64727i −0.372151 0.644585i
\(225\) −29.7001 −1.98001
\(226\) −2.10022 1.21256i −0.139704 0.0806583i
\(227\) −9.89789 5.71455i −0.656946 0.379288i 0.134166 0.990959i \(-0.457164\pi\)
−0.791112 + 0.611671i \(0.790498\pi\)
\(228\) −0.838745 0.484249i −0.0555472 0.0320702i
\(229\) −10.4386 + 6.02673i −0.689803 + 0.398258i −0.803538 0.595253i \(-0.797052\pi\)
0.113735 + 0.993511i \(0.463718\pi\)
\(230\) 3.53566 6.12393i 0.233134 0.403800i
\(231\) 20.1932 + 34.9756i 1.32861 + 2.30123i
\(232\) 24.5133i 1.60938i
\(233\) −14.9449 −0.979074 −0.489537 0.871983i \(-0.662834\pi\)
−0.489537 + 0.871983i \(0.662834\pi\)
\(234\) 15.2760 + 8.07149i 0.998621 + 0.527650i
\(235\) 1.98359 3.43568i 0.129395 0.224119i
\(236\) 1.76226 1.01744i 0.114713 0.0662297i
\(237\) −19.9845 + 34.6142i −1.29813 + 2.24843i
\(238\) 21.4571 37.1648i 1.39086 2.40904i
\(239\) −6.80305 3.92775i −0.440053 0.254065i 0.263567 0.964641i \(-0.415101\pi\)
−0.703620 + 0.710576i \(0.748434\pi\)
\(240\) 27.7669i 1.79234i
\(241\) 0.640970 0.370064i 0.0412885 0.0238379i −0.479214 0.877698i \(-0.659078\pi\)
0.520502 + 0.853860i \(0.325745\pi\)
\(242\) −0.379564 + 0.219141i −0.0243993 + 0.0140869i
\(243\) 10.8792 18.8433i 0.697902 1.20880i
\(244\) −2.03531 −0.130297
\(245\) −47.8923 + 27.6506i −3.05973 + 1.76653i
\(246\) −13.4007 −0.854397
\(247\) 2.67639 1.68209i 0.170295 0.107029i
\(248\) 14.6848 + 8.44846i 0.932484 + 0.536478i
\(249\) 28.0345i 1.77661i
\(250\) −12.4953 −0.790271
\(251\) 1.17419 + 2.03376i 0.0741142 + 0.128370i 0.900701 0.434440i \(-0.143054\pi\)
−0.826587 + 0.562810i \(0.809720\pi\)
\(252\) 7.65334i 0.482115i
\(253\) 4.45152 + 2.57009i 0.279865 + 0.161580i
\(254\) 13.4673 7.77537i 0.845016 0.487870i
\(255\) −58.2826 + 33.6495i −3.64980 + 2.10721i
\(256\) −9.66844 −0.604278
\(257\) 11.5781 20.0539i 0.722222 1.25093i −0.237885 0.971293i \(-0.576454\pi\)
0.960107 0.279632i \(-0.0902124\pi\)
\(258\) −7.02047 4.05327i −0.437076 0.252346i
\(259\) −0.999260 + 1.73077i −0.0620910 + 0.107545i
\(260\) −4.82273 2.54823i −0.299093 0.158034i
\(261\) −15.3710 + 26.6234i −0.951442 + 1.64795i
\(262\) 5.24739 3.02958i 0.324185 0.187168i
\(263\) 28.9418 1.78463 0.892314 0.451416i \(-0.149081\pi\)
0.892314 + 0.451416i \(0.149081\pi\)
\(264\) 25.9258 1.59563
\(265\) −14.0110 + 8.08926i −0.860690 + 0.496919i
\(266\) −4.51930 2.60922i −0.277096 0.159981i
\(267\) 31.1668 17.9942i 1.90738 1.10122i
\(268\) −3.05516 1.76390i −0.186624 0.107747i
\(269\) 4.95453 8.58150i 0.302083 0.523224i −0.674524 0.738253i \(-0.735651\pi\)
0.976608 + 0.215029i \(0.0689846\pi\)
\(270\) −4.78216 + 8.28295i −0.291033 + 0.504084i
\(271\) 12.9331i 0.785632i −0.919617 0.392816i \(-0.871501\pi\)
0.919617 0.392816i \(-0.128499\pi\)
\(272\) −10.7236 18.5739i −0.650215 1.12621i
\(273\) −39.4498 20.8445i −2.38761 1.26156i
\(274\) 5.52226 9.56483i 0.333612 0.577832i
\(275\) 25.4008i 1.53173i
\(276\) 0.869935 + 1.50677i 0.0523639 + 0.0906970i
\(277\) 24.7975 1.48994 0.744968 0.667101i \(-0.232465\pi\)
0.744968 + 0.667101i \(0.232465\pi\)
\(278\) 4.91615i 0.294851i
\(279\) −10.6512 18.3837i −0.637672 1.10061i
\(280\) 51.5666i 3.08170i
\(281\) 11.9938i 0.715489i −0.933819 0.357745i \(-0.883546\pi\)
0.933819 0.357745i \(-0.116454\pi\)
\(282\) −1.81885 3.15033i −0.108311 0.187600i
\(283\) −12.0309 −0.715161 −0.357580 0.933882i \(-0.616398\pi\)
−0.357580 + 0.933882i \(0.616398\pi\)
\(284\) −3.73342 2.15549i −0.221538 0.127905i
\(285\) 4.09183 + 7.08726i 0.242379 + 0.419813i
\(286\) −6.90309 + 13.0647i −0.408188 + 0.772530i
\(287\) 19.3750 1.14367
\(288\) 7.76664 + 4.48407i 0.457653 + 0.264226i
\(289\) −17.4910 + 30.2953i −1.02888 + 1.78208i
\(290\) −18.0848 + 31.3238i −1.06198 + 1.83940i
\(291\) 15.7875 9.11494i 0.925482 0.534327i
\(292\) 0.149372 + 0.0862402i 0.00874136 + 0.00504682i
\(293\) 3.92154 2.26410i 0.229099 0.132270i −0.381057 0.924551i \(-0.624440\pi\)
0.610156 + 0.792281i \(0.291107\pi\)
\(294\) 50.7083i 2.95737i
\(295\) −17.1944 −1.00110
\(296\) 0.641471 + 1.11106i 0.0372847 + 0.0645790i
\(297\) −6.02092 3.47618i −0.349369 0.201708i
\(298\) 1.30023 + 2.25207i 0.0753204 + 0.130459i
\(299\) −5.67478 + 0.212943i −0.328181 + 0.0123148i
\(300\) 4.29889 7.44589i 0.248196 0.429889i
\(301\) 10.1503 + 5.86030i 0.585055 + 0.337782i
\(302\) 2.39211 0.137650
\(303\) 0.659186 + 1.14174i 0.0378692 + 0.0655915i
\(304\) −2.25861 + 1.30401i −0.129540 + 0.0747901i
\(305\) 14.8940 + 8.59903i 0.852825 + 0.492379i
\(306\) 34.5486i 1.97501i
\(307\) −16.1686 + 9.33496i −0.922792 + 0.532774i −0.884525 0.466493i \(-0.845517\pi\)
−0.0382675 + 0.999268i \(0.512184\pi\)
\(308\) −6.54547 −0.372963
\(309\) −20.2606 −1.15258
\(310\) −12.5317 21.6295i −0.711754 1.22847i
\(311\) 27.2318 1.54418 0.772088 0.635516i \(-0.219212\pi\)
0.772088 + 0.635516i \(0.219212\pi\)
\(312\) −24.2506 + 15.2413i −1.37292 + 0.862868i
\(313\) −5.40403 9.36005i −0.305454 0.529062i 0.671908 0.740634i \(-0.265475\pi\)
−0.977362 + 0.211573i \(0.932141\pi\)
\(314\) 0.839115i 0.0473540i
\(315\) 32.3347 56.0054i 1.82186 3.15555i
\(316\) −3.23891 5.60996i −0.182203 0.315585i
\(317\) 14.4669 8.35245i 0.812540 0.469120i −0.0352971 0.999377i \(-0.511238\pi\)
0.847837 + 0.530257i \(0.177904\pi\)
\(318\) 14.8348i 0.831897i
\(319\) −22.7695 13.1460i −1.27485 0.736033i
\(320\) 27.5593 + 15.9114i 1.54061 + 0.889473i
\(321\) −11.5484 + 20.0025i −0.644570 + 1.11643i
\(322\) 4.68736 + 8.11874i 0.261216 + 0.452440i
\(323\) 5.47423 + 3.16055i 0.304594 + 0.175858i
\(324\) 1.24532 + 2.15696i 0.0691845 + 0.119831i
\(325\) 14.9326 + 23.7595i 0.828313 + 1.31794i
\(326\) 23.1915 1.28446
\(327\) −14.1519 + 8.17060i −0.782602 + 0.451835i
\(328\) 6.21884 10.7714i 0.343378 0.594748i
\(329\) 2.62972 + 4.55481i 0.144981 + 0.251115i
\(330\) −33.1288 19.1269i −1.82368 1.05290i
\(331\) 12.3136 + 7.10928i 0.676818 + 0.390761i 0.798655 0.601789i \(-0.205545\pi\)
−0.121837 + 0.992550i \(0.538878\pi\)
\(332\) 3.93486 + 2.27179i 0.215953 + 0.124681i
\(333\) 1.60893i 0.0881688i
\(334\) 2.78072 + 4.81634i 0.152154 + 0.263538i
\(335\) 14.9047 + 25.8156i 0.814329 + 1.41046i
\(336\) 31.8798 + 18.4058i 1.73919 + 1.00412i
\(337\) −5.25117 −0.286049 −0.143025 0.989719i \(-0.545683\pi\)
−0.143025 + 0.989719i \(0.545683\pi\)
\(338\) −1.22342 16.2787i −0.0665452 0.885443i
\(339\) −5.04195 −0.273841
\(340\) 10.9072i 0.591527i
\(341\) 15.7226 9.10938i 0.851425 0.493301i
\(342\) 4.20116 0.227173
\(343\) 40.1352i 2.16710i
\(344\) 6.51596 3.76199i 0.351317 0.202833i
\(345\) 14.7016i 0.791509i
\(346\) 19.4320 + 11.2190i 1.04467 + 0.603139i
\(347\) 0.111427 + 0.192997i 0.00598171 + 0.0103606i 0.869001 0.494811i \(-0.164763\pi\)
−0.863019 + 0.505171i \(0.831429\pi\)
\(348\) −4.44971 7.70712i −0.238529 0.413145i
\(349\) 13.0177i 0.696820i 0.937342 + 0.348410i \(0.113278\pi\)
−0.937342 + 0.348410i \(0.886722\pi\)
\(350\) 23.1631 40.1197i 1.23812 2.14449i
\(351\) 7.67545 0.288017i 0.409685 0.0153732i
\(352\) −3.83497 + 6.64237i −0.204405 + 0.354039i
\(353\) 4.46001 2.57499i 0.237382 0.137053i −0.376591 0.926380i \(-0.622904\pi\)
0.613973 + 0.789327i \(0.289570\pi\)
\(354\) −7.88318 + 13.6541i −0.418987 + 0.725706i
\(355\) 18.2136 + 31.5468i 0.966675 + 1.67433i
\(356\) 5.83267i 0.309131i
\(357\) 89.2209i 4.72207i
\(358\) 14.9656 8.64037i 0.790954 0.456658i
\(359\) −30.4181 17.5619i −1.60540 0.926880i −0.990380 0.138371i \(-0.955813\pi\)
−0.615023 0.788509i \(-0.710853\pi\)
\(360\) −20.7571 35.9524i −1.09400 1.89486i
\(361\) −9.11567 + 15.7888i −0.479772 + 0.830990i
\(362\) 16.3888 + 9.46210i 0.861378 + 0.497317i
\(363\) −0.455606 + 0.789133i −0.0239131 + 0.0414187i
\(364\) 6.12252 3.84795i 0.320907 0.201687i
\(365\) −0.728716 1.26217i −0.0381427 0.0660651i
\(366\) 13.6570 7.88485i 0.713861 0.412148i
\(367\) −5.14087 + 8.90425i −0.268351 + 0.464798i −0.968436 0.249262i \(-0.919812\pi\)
0.700085 + 0.714059i \(0.253145\pi\)
\(368\) 4.68520 0.244233
\(369\) −13.5083 + 7.79902i −0.703214 + 0.406001i
\(370\) 1.89299i 0.0984120i
\(371\) 21.4485i 1.11355i
\(372\) 6.15055 0.00936636i 0.318891 0.000485623i
\(373\) 5.99170 0.310238 0.155119 0.987896i \(-0.450424\pi\)
0.155119 + 0.987896i \(0.450424\pi\)
\(374\) −29.5474 −1.52786
\(375\) −22.4979 + 12.9892i −1.16179 + 0.670758i
\(376\) 3.37628 0.174118
\(377\) 29.0265 1.08920i 1.49494 0.0560968i
\(378\) −6.33990 10.9810i −0.326089 0.564803i
\(379\) 22.3775 12.9196i 1.14945 0.663638i 0.200700 0.979653i \(-0.435678\pi\)
0.948754 + 0.316015i \(0.102345\pi\)
\(380\) −1.32634 −0.0680396
\(381\) 16.1654 27.9993i 0.828178 1.43445i
\(382\) 1.74013 + 1.00467i 0.0890329 + 0.0514032i
\(383\) 23.9478 + 13.8263i 1.22367 + 0.706489i 0.965699 0.259663i \(-0.0836114\pi\)
0.257975 + 0.966152i \(0.416945\pi\)
\(384\) 14.6432 8.45423i 0.747255 0.431428i
\(385\) 47.8983 + 27.6541i 2.44112 + 1.40938i
\(386\) 2.07110 + 3.58725i 0.105416 + 0.182586i
\(387\) −9.43579 −0.479648
\(388\) 2.95454i 0.149994i
\(389\) −11.6951 20.2565i −0.592965 1.02704i −0.993831 0.110908i \(-0.964624\pi\)
0.400866 0.916137i \(-0.368709\pi\)
\(390\) 42.2325 1.58475i 2.13852 0.0802470i
\(391\) −5.67780 9.83423i −0.287138 0.497338i
\(392\) −40.7589 23.5321i −2.05863 1.18855i
\(393\) 6.29866 10.9096i 0.317725 0.550317i
\(394\) −7.63183 + 13.2187i −0.384486 + 0.665950i
\(395\) 54.7366i 2.75409i
\(396\) 4.56352 2.63475i 0.229325 0.132401i
\(397\) −15.6825 + 9.05431i −0.787083 + 0.454423i −0.838935 0.544232i \(-0.816821\pi\)
0.0518517 + 0.998655i \(0.483488\pi\)
\(398\) −17.7854 10.2684i −0.891500 0.514708i
\(399\) −10.8494 −0.543149
\(400\) −11.5762 20.0507i −0.578812 1.00253i
\(401\) 11.0876i 0.553687i −0.960915 0.276844i \(-0.910712\pi\)
0.960915 0.276844i \(-0.0892884\pi\)
\(402\) 27.3336 1.36327
\(403\) −9.35141 + 17.7638i −0.465827 + 0.884876i
\(404\) −0.213670 −0.0106305
\(405\) 21.0455i 1.04576i
\(406\) −23.9758 41.5273i −1.18990 2.06096i
\(407\) 1.37603 0.0682071
\(408\) −49.6016 28.6375i −2.45564 1.41777i
\(409\) −0.220582 + 0.127353i −0.0109071 + 0.00629721i −0.505444 0.862860i \(-0.668671\pi\)
0.494537 + 0.869157i \(0.335338\pi\)
\(410\) −15.8932 + 9.17597i −0.784911 + 0.453169i
\(411\) 22.9621i 1.13264i
\(412\) 1.64183 2.84373i 0.0808870 0.140100i
\(413\) 11.3977 19.7413i 0.560842 0.971407i
\(414\) −6.53608 3.77361i −0.321231 0.185463i
\(415\) −19.1963 33.2489i −0.942308 1.63213i
\(416\) −0.317745 8.46766i −0.0155787 0.415161i
\(417\) −5.11047 8.85159i −0.250261 0.433464i
\(418\) 3.59301i 0.175740i
\(419\) −18.5419 −0.905830 −0.452915 0.891554i \(-0.649616\pi\)
−0.452915 + 0.891554i \(0.649616\pi\)
\(420\) 9.36047 + 16.2128i 0.456744 + 0.791104i
\(421\) 23.1824 + 13.3843i 1.12984 + 0.652313i 0.943895 0.330247i \(-0.107132\pi\)
0.185945 + 0.982560i \(0.440465\pi\)
\(422\) −2.71783 + 1.56914i −0.132302 + 0.0763845i
\(423\) −3.66690 2.11709i −0.178291 0.102936i
\(424\) −11.9241 6.88439i −0.579086 0.334335i
\(425\) −28.0575 + 48.5971i −1.36099 + 2.35730i
\(426\) 33.4017 1.61832
\(427\) −19.7455 + 11.4001i −0.955552 + 0.551688i
\(428\) −1.87167 3.24182i −0.0904704 0.156699i
\(429\) 1.15196 + 30.6990i 0.0556174 + 1.48216i
\(430\) −11.1017 −0.535372
\(431\) 20.6252 11.9079i 0.993479 0.573586i 0.0871670 0.996194i \(-0.472219\pi\)
0.906313 + 0.422608i \(0.138885\pi\)
\(432\) −6.33698 −0.304888
\(433\) 39.5363 1.89999 0.949997 0.312258i \(-0.101085\pi\)
0.949997 + 0.312258i \(0.101085\pi\)
\(434\) 33.1402 0.0504676i 1.59078 0.00242252i
\(435\) 75.1986i 3.60550i
\(436\) 2.64844i 0.126837i
\(437\) −1.19586 + 0.690429i −0.0572056 + 0.0330277i
\(438\) −1.33639 −0.0638550
\(439\) 17.6308 30.5375i 0.841474 1.45748i −0.0471743 0.998887i \(-0.515022\pi\)
0.888648 0.458589i \(-0.151645\pi\)
\(440\) 30.7481 17.7524i 1.46586 0.846313i
\(441\) 29.5115 + 51.1155i 1.40531 + 2.43407i
\(442\) 27.6382 17.3703i 1.31461 0.826223i
\(443\) −3.71431 + 6.43338i −0.176472 + 0.305659i −0.940670 0.339323i \(-0.889802\pi\)
0.764197 + 0.644982i \(0.223135\pi\)
\(444\) 0.403363 + 0.232882i 0.0191428 + 0.0110521i
\(445\) 24.6426 42.6822i 1.16817 2.02333i
\(446\) 3.23105 + 5.59634i 0.152995 + 0.264994i
\(447\) 4.68217 + 2.70325i 0.221459 + 0.127859i
\(448\) −36.5365 + 21.0943i −1.72619 + 0.996614i
\(449\) 7.70296i 0.363525i 0.983342 + 0.181763i \(0.0581802\pi\)
−0.983342 + 0.181763i \(0.941820\pi\)
\(450\) 37.2955i 1.75813i
\(451\) −6.67006 11.5529i −0.314081 0.544004i
\(452\) 0.408577 0.707677i 0.0192179 0.0332863i
\(453\) 4.30702 2.48666i 0.202361 0.116833i
\(454\) −7.17597 + 12.4291i −0.336785 + 0.583329i
\(455\) −61.0605 + 2.29126i −2.86256 + 0.107416i
\(456\) −3.48236 + 6.03163i −0.163077 + 0.282457i
\(457\) 4.94195i 0.231175i 0.993297 + 0.115587i \(0.0368750\pi\)
−0.993297 + 0.115587i \(0.963125\pi\)
\(458\) 7.56799 + 13.1081i 0.353629 + 0.612503i
\(459\) 7.67952 + 13.3013i 0.358449 + 0.620852i
\(460\) 2.06349 + 1.19135i 0.0962106 + 0.0555472i
\(461\) 6.62597i 0.308602i 0.988024 + 0.154301i \(0.0493125\pi\)
−0.988024 + 0.154301i \(0.950687\pi\)
\(462\) 43.9202 25.3573i 2.04335 1.17973i
\(463\) 21.1097i 0.981052i 0.871426 + 0.490526i \(0.163195\pi\)
−0.871426 + 0.490526i \(0.836805\pi\)
\(464\) −23.9647 −1.11254
\(465\) −45.0479 25.9170i −2.08905 1.20187i
\(466\) 18.7669i 0.869359i
\(467\) −16.8413 −0.779323 −0.389661 0.920958i \(-0.627408\pi\)
−0.389661 + 0.920958i \(0.627408\pi\)
\(468\) −2.71972 + 5.14730i −0.125719 + 0.237934i
\(469\) −39.5194 −1.82484
\(470\) −4.31430 2.49086i −0.199004 0.114895i
\(471\) −0.872281 1.51084i −0.0401926 0.0696156i
\(472\) −7.31668 12.6729i −0.336777 0.583315i
\(473\) 8.06990i 0.371054i
\(474\) 43.4663 + 25.0953i 1.99647 + 1.15266i
\(475\) 5.90948 + 3.41184i 0.271145 + 0.156546i
\(476\) 12.5228 + 7.23007i 0.573984 + 0.331390i
\(477\) 8.63367 + 14.9540i 0.395309 + 0.684695i
\(478\) −4.93221 + 8.54284i −0.225594 + 0.390741i
\(479\) 13.6537 7.88296i 0.623853 0.360182i −0.154514 0.987991i \(-0.549381\pi\)
0.778368 + 0.627809i \(0.216048\pi\)
\(480\) 21.9371 1.00129
\(481\) −1.28711 + 0.808939i −0.0586873 + 0.0368844i
\(482\) −0.464703 0.804889i −0.0211666 0.0366617i
\(483\) 16.8793 + 9.74526i 0.768034 + 0.443425i
\(484\) −0.0738406 0.127896i −0.00335639 0.00581344i
\(485\) 12.4827 21.6207i 0.566810 0.981744i
\(486\) −23.6623 13.6614i −1.07334 0.619695i
\(487\) 11.6939 + 6.75150i 0.529903 + 0.305940i 0.740977 0.671530i \(-0.234363\pi\)
−0.211074 + 0.977470i \(0.567696\pi\)
\(488\) 14.6365i 0.662561i
\(489\) 41.7566 24.1082i 1.88830 1.09021i
\(490\) 34.7219 + 60.1401i 1.56858 + 2.71685i
\(491\) 9.96438 17.2588i 0.449686 0.778879i −0.548679 0.836033i \(-0.684869\pi\)
0.998365 + 0.0571539i \(0.0182026\pi\)
\(492\) 4.51542i 0.203571i
\(493\) 29.0419 + 50.3020i 1.30798 + 2.26549i
\(494\) −2.11226 3.36085i −0.0950351 0.151212i
\(495\) −44.5264 −2.00131
\(496\) 8.25940 14.3561i 0.370858 0.644610i
\(497\) −48.2929 −2.16623
\(498\) −35.2039 −1.57753
\(499\) −6.21565 + 3.58861i −0.278251 + 0.160648i −0.632631 0.774453i \(-0.718025\pi\)
0.354381 + 0.935101i \(0.384692\pi\)
\(500\) 4.21034i 0.188292i
\(501\) 10.0134 + 5.78125i 0.447367 + 0.258287i
\(502\) 2.55386 1.47447i 0.113985 0.0658090i
\(503\) 5.88727 + 10.1971i 0.262501 + 0.454664i 0.966906 0.255134i \(-0.0821195\pi\)
−0.704405 + 0.709798i \(0.748786\pi\)
\(504\) 55.0371 2.45155
\(505\) 1.56359 + 0.902739i 0.0695788 + 0.0401714i
\(506\) 3.22735 5.58994i 0.143473 0.248503i
\(507\) −19.1249 28.0382i −0.849366 1.24522i
\(508\) 2.61994 + 4.53788i 0.116241 + 0.201336i
\(509\) −32.9324 19.0135i −1.45970 0.842761i −0.460708 0.887552i \(-0.652404\pi\)
−0.998996 + 0.0447912i \(0.985738\pi\)
\(510\) 42.2549 + 73.1876i 1.87108 + 3.24080i
\(511\) 1.93217 0.0854743
\(512\) 25.0940i 1.10901i
\(513\) 1.61746 0.933842i 0.0714127 0.0412301i
\(514\) −25.1824 14.5390i −1.11075 0.641290i
\(515\) −24.0290 + 13.8732i −1.05885 + 0.611325i
\(516\) 1.36577 2.36558i 0.0601246 0.104139i
\(517\) 1.81062 3.13609i 0.0796311 0.137925i
\(518\) 2.17339 + 1.25481i 0.0954933 + 0.0551331i
\(519\) 46.6499 2.04771
\(520\) −18.3250 + 34.6815i −0.803603 + 1.52088i
\(521\) −9.58274 16.5978i −0.419827 0.727162i 0.576094 0.817383i \(-0.304576\pi\)
−0.995922 + 0.0902208i \(0.971243\pi\)
\(522\) 33.4320 + 19.3020i 1.46328 + 0.844823i
\(523\) −40.6378 −1.77697 −0.888483 0.458910i \(-0.848240\pi\)
−0.888483 + 0.458910i \(0.848240\pi\)
\(524\) 1.02083 + 1.76813i 0.0445952 + 0.0772412i
\(525\) 96.3148i 4.20352i
\(526\) 36.3433i 1.58464i
\(527\) −40.1427 + 0.0611314i −1.74864 + 0.00266292i
\(528\) 25.3457i 1.10303i
\(529\) −20.5193 −0.892145
\(530\) 10.1580 + 17.5941i 0.441235 + 0.764241i
\(531\) 18.3516i 0.796392i
\(532\) 0.879188 1.52280i 0.0381176 0.0660217i
\(533\) 13.0308 + 6.88518i 0.564426 + 0.298230i
\(534\) −22.5959 39.1373i −0.977821 1.69364i
\(535\) 31.6306i 1.36751i
\(536\) −12.6846 + 21.9705i −0.547893 + 0.948979i
\(537\) 17.9638 31.1142i 0.775194 1.34268i
\(538\) −10.7761 6.22159i −0.464591 0.268232i
\(539\) −43.7162 + 25.2395i −1.88299 + 1.08714i
\(540\) −2.79098 1.61137i −0.120104 0.0693423i
\(541\) 21.6985 12.5276i 0.932891 0.538605i 0.0451661 0.998979i \(-0.485618\pi\)
0.887725 + 0.460375i \(0.152285\pi\)
\(542\) −16.2406 −0.697594
\(543\) 39.3444 1.68843
\(544\) 14.6742 8.47216i 0.629151 0.363241i
\(545\) −11.1894 + 19.3807i −0.479303 + 0.830177i
\(546\) −26.1751 + 49.5386i −1.12019 + 2.12006i
\(547\) 9.20026 15.9353i 0.393375 0.681345i −0.599517 0.800362i \(-0.704641\pi\)
0.992892 + 0.119017i \(0.0379742\pi\)
\(548\) 3.22291 + 1.86075i 0.137676 + 0.0794872i
\(549\) 9.17775 15.8963i 0.391697 0.678439i
\(550\) −31.8967 −1.36008
\(551\) 6.11680 3.53154i 0.260584 0.150448i
\(552\) 10.8356 6.25593i 0.461193 0.266270i
\(553\) −62.8443 36.2832i −2.67241 1.54292i
\(554\) 31.1391i 1.32297i
\(555\) −1.96782 3.40836i −0.0835291 0.144677i
\(556\) 1.65652 0.0702521
\(557\) 25.7036i 1.08910i 0.838729 + 0.544549i \(0.183299\pi\)
−0.838729 + 0.544549i \(0.816701\pi\)
\(558\) −23.0851 + 13.3751i −0.977272 + 0.566214i
\(559\) 4.74413 + 7.54845i 0.200655 + 0.319265i
\(560\) 50.4126 2.13032
\(561\) −53.2005 + 30.7153i −2.24613 + 1.29680i
\(562\) −15.0610 −0.635311
\(563\) −17.4276 + 30.1855i −0.734486 + 1.27217i 0.220462 + 0.975395i \(0.429243\pi\)
−0.954948 + 0.296772i \(0.904090\pi\)
\(564\) 1.06152 0.612868i 0.0446980 0.0258064i
\(565\) −5.97976 + 3.45241i −0.251570 + 0.145244i
\(566\) 15.1076i 0.635020i
\(567\) 24.1629 + 13.9504i 1.01474 + 0.585863i
\(568\) −15.5007 + 26.8480i −0.650395 + 1.12652i
\(569\) −2.96731 + 5.13953i −0.124396 + 0.215460i −0.921497 0.388386i \(-0.873033\pi\)
0.797101 + 0.603846i \(0.206366\pi\)
\(570\) 8.89973 5.13826i 0.372769 0.215218i
\(571\) −13.0480 + 22.5998i −0.546042 + 0.945773i 0.452498 + 0.891765i \(0.350533\pi\)
−0.998541 + 0.0540075i \(0.982801\pi\)
\(572\) −4.40220 2.32603i −0.184065 0.0972561i
\(573\) 4.17750 0.174518
\(574\) 24.3299i 1.01551i
\(575\) −6.12923 10.6161i −0.255607 0.442724i
\(576\) 16.9822 29.4141i 0.707593 1.22559i
\(577\) 11.1474 6.43595i 0.464072 0.267932i −0.249683 0.968328i \(-0.580326\pi\)
0.713755 + 0.700396i \(0.246993\pi\)
\(578\) 38.0429 + 21.9641i 1.58238 + 0.913586i
\(579\) 7.45807 + 4.30592i 0.309947 + 0.178948i
\(580\) −10.5547 6.09376i −0.438260 0.253030i
\(581\) 50.8985 2.11163
\(582\) −11.4460 19.8250i −0.474451 0.821773i
\(583\) −12.7893 + 7.38389i −0.529678 + 0.305810i
\(584\) 0.620175 1.07418i 0.0256630 0.0444497i
\(585\) 41.6493 26.1762i 1.72199 1.08225i
\(586\) −2.84312 4.92442i −0.117448 0.203426i
\(587\) 38.9964i 1.60956i 0.593576 + 0.804778i \(0.297716\pi\)
−0.593576 + 0.804778i \(0.702284\pi\)
\(588\) −17.0864 −0.704631
\(589\) 0.00743367 + 4.88142i 0.000306299 + 0.201135i
\(590\) 21.5917i 0.888915i
\(591\) 31.7339i 1.30536i
\(592\) 1.08620 0.627115i 0.0446424 0.0257743i
\(593\) 36.5125i 1.49939i 0.661784 + 0.749695i \(0.269800\pi\)
−0.661784 + 0.749695i \(0.730200\pi\)
\(594\) −4.36517 + 7.56069i −0.179105 + 0.310219i
\(595\) −61.0929 105.816i −2.50457 4.33804i
\(596\) −0.758844 + 0.438119i −0.0310835 + 0.0179461i
\(597\) −42.6970 −1.74747
\(598\) 0.267401 + 7.12603i 0.0109348 + 0.291405i
\(599\) −4.06005 + 7.03221i −0.165889 + 0.287328i −0.936971 0.349408i \(-0.886383\pi\)
0.771082 + 0.636736i \(0.219716\pi\)
\(600\) −53.5453 30.9144i −2.18598 1.26208i
\(601\) −0.636150 1.10184i −0.0259491 0.0449451i 0.852759 0.522304i \(-0.174927\pi\)
−0.878708 + 0.477359i \(0.841594\pi\)
\(602\) 7.35899 12.7461i 0.299930 0.519494i
\(603\) 27.5530 15.9078i 1.12205 0.647814i
\(604\) 0.806032i 0.0327970i
\(605\) 1.24788i 0.0507337i
\(606\) 1.43373 0.827764i 0.0582413 0.0336256i
\(607\) −3.40727 + 5.90156i −0.138297 + 0.239537i −0.926852 0.375427i \(-0.877496\pi\)
0.788555 + 0.614964i \(0.210829\pi\)
\(608\) −1.03023 1.78441i −0.0417812 0.0723672i
\(609\) −86.3373 49.8469i −3.49856 2.01990i
\(610\) 10.7981 18.7029i 0.437203 0.757258i
\(611\) 0.150018 + 3.99788i 0.00606909 + 0.161737i
\(612\) −11.6413 −0.470571
\(613\) 12.9148 7.45637i 0.521624 0.301160i −0.215975 0.976399i \(-0.569293\pi\)
0.737599 + 0.675239i \(0.235960\pi\)
\(614\) 11.7223 + 20.3035i 0.473072 + 0.819384i
\(615\) −19.0773 + 33.0429i −0.769271 + 1.33242i
\(616\) 47.0701i 1.89651i
\(617\) 35.8948 20.7239i 1.44507 0.834313i 0.446890 0.894589i \(-0.352532\pi\)
0.998182 + 0.0602763i \(0.0191982\pi\)
\(618\) 25.4419i 1.02342i
\(619\) 29.9989i 1.20576i −0.797833 0.602878i \(-0.794021\pi\)
0.797833 0.602878i \(-0.205979\pi\)
\(620\) 7.28814 4.22262i 0.292699 0.169585i
\(621\) −3.35522 −0.134640
\(622\) 34.1960i 1.37114i
\(623\) 32.6696 + 56.5854i 1.30888 + 2.26705i
\(624\) 14.9002 + 23.7079i 0.596486 + 0.949076i
\(625\) 1.66941 2.89150i 0.0667764 0.115660i
\(626\) −11.7538 + 6.78604i −0.469775 + 0.271225i
\(627\) 3.73503 + 6.46926i 0.149163 + 0.258357i
\(628\) 0.282743 0.0112827
\(629\) −2.63263 1.51995i −0.104970 0.0606043i
\(630\) −70.3280 40.6039i −2.80194 1.61770i
\(631\) −10.4605 6.03937i −0.416426 0.240424i 0.277121 0.960835i \(-0.410620\pi\)
−0.693547 + 0.720411i \(0.743953\pi\)
\(632\) −40.3427 + 23.2918i −1.60474 + 0.926500i
\(633\) −3.26232 + 5.65051i −0.129666 + 0.224588i
\(634\) −10.4885 18.1666i −0.416551 0.721487i
\(635\) 44.2762i 1.75705i
\(636\) −4.99867 −0.198210
\(637\) 26.0536 49.3085i 1.03228 1.95368i
\(638\) −16.5079 + 28.5925i −0.653553 + 1.13199i
\(639\) 33.6699 19.4393i 1.33196 0.769008i
\(640\) 11.5779 20.0534i 0.457655 0.792682i
\(641\) −15.3801 + 26.6392i −0.607479 + 1.05218i 0.384176 + 0.923260i \(0.374486\pi\)
−0.991654 + 0.128924i \(0.958848\pi\)
\(642\) 25.1178 + 14.5018i 0.991321 + 0.572339i
\(643\) 15.8255i 0.624097i −0.950066 0.312048i \(-0.898985\pi\)
0.950066 0.312048i \(-0.101015\pi\)
\(644\) −2.73565 + 1.57943i −0.107800 + 0.0622381i
\(645\) −19.9888 + 11.5405i −0.787057 + 0.454407i
\(646\) 3.96881 6.87419i 0.156151 0.270461i
\(647\) −34.3028 −1.34858 −0.674291 0.738466i \(-0.735550\pi\)
−0.674291 + 0.738466i \(0.735550\pi\)
\(648\) 15.5112 8.95542i 0.609339 0.351802i
\(649\) −15.6951 −0.616087
\(650\) 29.8357 18.7514i 1.17025 0.735492i
\(651\) 59.6169 34.5410i 2.33657 1.35377i
\(652\) 7.81448i 0.306039i
\(653\) 5.38877 0.210879 0.105439 0.994426i \(-0.466375\pi\)
0.105439 + 0.994426i \(0.466375\pi\)
\(654\) 10.2601 + 17.7711i 0.401203 + 0.694903i
\(655\) 17.2517i 0.674081i
\(656\) −10.5303 6.07967i −0.411139 0.237371i
\(657\) −1.34712 + 0.777759i −0.0525561 + 0.0303433i
\(658\) 5.71964 3.30224i 0.222975 0.128735i
\(659\) 11.5594 0.450292 0.225146 0.974325i \(-0.427714\pi\)
0.225146 + 0.974325i \(0.427714\pi\)
\(660\) 6.44490 11.1629i 0.250867 0.434515i
\(661\) 4.89343 + 2.82522i 0.190332 + 0.109888i 0.592138 0.805837i \(-0.298284\pi\)
−0.401806 + 0.915725i \(0.631617\pi\)
\(662\) 8.92738 15.4627i 0.346972 0.600974i
\(663\) 31.7059 60.0061i 1.23136 2.33044i
\(664\) 16.3370 28.2966i 0.634000 1.09812i
\(665\) −12.8674 + 7.42900i −0.498976 + 0.288084i
\(666\) −2.02039 −0.0782886
\(667\) −12.6885 −0.491302
\(668\) −1.62289 + 0.936974i −0.0627914 + 0.0362526i
\(669\) 11.6351 + 6.71752i 0.449838 + 0.259714i
\(670\) 32.4176 18.7163i 1.25240 0.723075i
\(671\) 13.5952 + 7.84921i 0.524838 + 0.303015i
\(672\) −14.5414 + 25.1865i −0.560948 + 0.971591i
\(673\) −16.4517 + 28.4951i −0.634165 + 1.09841i 0.352526 + 0.935802i \(0.385323\pi\)
−0.986691 + 0.162604i \(0.948011\pi\)
\(674\) 6.59408i 0.253995i
\(675\) 8.29011 + 14.3589i 0.319087 + 0.552674i
\(676\) 5.48517 0.412236i 0.210968 0.0158552i
\(677\) 11.5473 20.0006i 0.443800 0.768684i −0.554168 0.832405i \(-0.686963\pi\)
0.997968 + 0.0637207i \(0.0202967\pi\)
\(678\) 6.33136i 0.243154i
\(679\) 16.5488 + 28.6634i 0.635085 + 1.10000i
\(680\) −78.4367 −3.00791
\(681\) 29.8384i 1.14341i
\(682\) −11.4390 19.7434i −0.438021 0.756014i
\(683\) 32.2899i 1.23554i −0.786360 0.617769i \(-0.788037\pi\)
0.786360 0.617769i \(-0.211963\pi\)
\(684\) 1.41560i 0.0541268i
\(685\) −15.7230 27.2331i −0.600746 1.04052i
\(686\) −50.3993 −1.92425
\(687\) 27.2525 + 15.7342i 1.03975 + 0.600299i
\(688\) −3.67780 6.37014i −0.140215 0.242859i
\(689\) 7.62204 14.4253i 0.290377 0.549561i
\(690\) −18.4614 −0.702812
\(691\) −23.8539 13.7721i −0.907446 0.523914i −0.0278378 0.999612i \(-0.508862\pi\)
−0.879609 + 0.475698i \(0.842196\pi\)
\(692\) −3.78031 + 6.54768i −0.143706 + 0.248905i
\(693\) 29.5152 51.1218i 1.12119 1.94196i
\(694\) 0.242354 0.139923i 0.00919962 0.00531140i
\(695\) −12.1220 6.99866i −0.459815 0.265474i
\(696\) −55.4239 + 31.9990i −2.10084 + 1.21292i
\(697\) 29.4708i 1.11629i
\(698\) 16.3468 0.618735
\(699\) 19.5087 + 33.7900i 0.737885 + 1.27805i
\(700\) 13.5185 + 7.80492i 0.510952 + 0.294998i
\(701\) −18.3905 31.8534i −0.694601 1.20308i −0.970315 0.241845i \(-0.922247\pi\)
0.275714 0.961240i \(-0.411086\pi\)
\(702\) −0.361674 9.63834i −0.0136505 0.363776i
\(703\) −0.184828 + 0.320132i −0.00697092 + 0.0120740i
\(704\) 25.1562 + 14.5239i 0.948110 + 0.547391i
\(705\) −10.3573 −0.390077
\(706\) −3.23350 5.60059i −0.121695 0.210781i
\(707\) −2.07291 + 1.19680i −0.0779599 + 0.0450102i
\(708\) −4.60080 2.65627i −0.172909 0.0998289i
\(709\) 0.855978i 0.0321469i −0.999871 0.0160735i \(-0.994883\pi\)
0.999871 0.0160735i \(-0.00511656\pi\)
\(710\) 39.6145 22.8714i 1.48670 0.858349i
\(711\) 58.4204 2.19093
\(712\) 41.9442 1.57193
\(713\) 4.37307 7.60109i 0.163773 0.284663i
\(714\) −112.038 −4.19291
\(715\) 22.3870 + 35.6203i 0.837227 + 1.33212i
\(716\) 2.91141 + 5.04271i 0.108804 + 0.188455i
\(717\) 20.5087i 0.765910i
\(718\) −22.0531 + 38.1971i −0.823014 + 1.42550i
\(719\) 18.6527 + 32.3074i 0.695629 + 1.20486i 0.969968 + 0.243231i \(0.0782074\pi\)
−0.274340 + 0.961633i \(0.588459\pi\)
\(720\) −35.1478 + 20.2926i −1.30988 + 0.756261i
\(721\) 36.7844i 1.36992i
\(722\) 19.8266 + 11.4469i 0.737869 + 0.426009i
\(723\) −1.67341 0.966142i −0.0622347 0.0359312i
\(724\) −3.18830 + 5.52229i −0.118492 + 0.205234i
\(725\) 31.3509 + 54.3014i 1.16434 + 2.01670i
\(726\) 0.990943 + 0.572121i 0.0367773 + 0.0212334i
\(727\) 23.3377 + 40.4220i 0.865546 + 1.49917i 0.866504 + 0.499171i \(0.166362\pi\)
−0.000957310 1.00000i \(0.500305\pi\)
\(728\) −27.6716 44.0286i −1.02558 1.63181i
\(729\) −39.1468 −1.44988
\(730\) −1.58496 + 0.915075i −0.0586619 + 0.0338684i
\(731\) −8.91394 + 15.4394i −0.329694 + 0.571047i
\(732\) 2.65684 + 4.60177i 0.0981995 + 0.170086i
\(733\) 45.6376 + 26.3489i 1.68566 + 0.973218i 0.957773 + 0.287524i \(0.0928322\pi\)
0.727890 + 0.685694i \(0.240501\pi\)
\(734\) 11.1814 + 6.45558i 0.412712 + 0.238280i
\(735\) 125.034 + 72.1886i 4.61196 + 2.66272i
\(736\) 3.70152i 0.136440i
\(737\) 13.6050 + 23.5646i 0.501147 + 0.868012i
\(738\) 9.79351 + 16.9629i 0.360504 + 0.624412i
\(739\) −1.43816 0.830321i −0.0529035 0.0305438i 0.473315 0.880893i \(-0.343057\pi\)
−0.526218 + 0.850349i \(0.676391\pi\)
\(740\) 0.637852 0.0234479
\(741\) −7.29684 3.85549i −0.268056 0.141635i
\(742\) −26.9337 −0.988766
\(743\) 21.6565i 0.794500i 0.917711 + 0.397250i \(0.130035\pi\)
−0.917711 + 0.397250i \(0.869965\pi\)
\(744\) −0.0673559 44.2302i −0.00246939 1.62156i
\(745\) 7.40407 0.271264
\(746\) 7.52399i 0.275473i
\(747\) −35.4866 + 20.4882i −1.29839 + 0.749624i
\(748\) 9.95614i 0.364032i
\(749\) −36.3158 20.9669i −1.32695 0.766116i
\(750\) 16.3110 + 28.2514i 0.595592 + 1.03160i
\(751\) 15.0407 + 26.0512i 0.548841 + 0.950621i 0.998354 + 0.0573474i \(0.0182643\pi\)
−0.449513 + 0.893274i \(0.648402\pi\)
\(752\) 3.30072i 0.120365i
\(753\) 3.06551 5.30961i 0.111713 0.193493i
\(754\) −1.36775 36.4496i −0.0498105 1.32742i
\(755\) 3.40542 5.89836i 0.123936 0.214663i
\(756\) 3.70011 2.13626i 0.134572 0.0776949i
\(757\) −0.863766 + 1.49609i −0.0313941 + 0.0543762i −0.881296 0.472565i \(-0.843328\pi\)
0.849901 + 0.526942i \(0.176661\pi\)
\(758\) −16.2237 28.1002i −0.589270 1.02065i
\(759\) 13.4197i 0.487103i
\(760\) 9.53802i 0.345980i
\(761\) −5.93772 + 3.42814i −0.215242 + 0.124270i −0.603745 0.797177i \(-0.706326\pi\)
0.388503 + 0.921447i \(0.372992\pi\)
\(762\) −35.1597 20.2995i −1.27370 0.735372i
\(763\) −14.8343 25.6937i −0.537037 0.930175i
\(764\) −0.338527 + 0.586345i −0.0122475 + 0.0212132i
\(765\) 85.1883 +