Properties

Label 74.2.h.a.65.1
Level $74$
Weight $2$
Character 74.65
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.h (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\Q(\zeta_{36})\)
Defining polynomial: \( x^{12} - x^{6} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 65.1
Root \(-0.984808 + 0.173648i\) of defining polynomial
Character \(\chi\) \(=\) 74.65
Dual form 74.2.h.a.41.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-0.266044 + 1.50881i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.97937 + 2.35892i) q^{5} -1.53209i q^{6} +(0.153180 + 0.128533i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.613341 + 0.223238i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(-0.266044 + 1.50881i) q^{3} +(0.939693 - 0.342020i) q^{4} +(-1.97937 + 2.35892i) q^{5} -1.53209i q^{6} +(0.153180 + 0.128533i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(0.613341 + 0.223238i) q^{9} +(1.53967 - 2.66679i) q^{10} +(2.17174 + 3.76157i) q^{11} +(0.266044 + 1.50881i) q^{12} +(-1.59735 - 4.38867i) q^{13} +(-0.173172 - 0.0999810i) q^{14} +(-3.03256 - 3.61407i) q^{15} +(0.766044 - 0.642788i) q^{16} +(2.32445 - 6.38637i) q^{17} +(-0.642788 - 0.113341i) q^{18} +(4.07964 + 0.719350i) q^{19} +(-1.05320 + 2.89364i) q^{20} +(-0.234685 + 0.196924i) q^{21} +(-2.79194 - 3.32730i) q^{22} +(-0.896915 - 0.517834i) q^{23} +(-0.524005 - 1.43969i) q^{24} +(-0.778357 - 4.41428i) q^{25} +(2.33516 + 4.04462i) q^{26} +(-2.79813 + 4.84651i) q^{27} +(0.187903 + 0.0683910i) q^{28} +(1.25937 - 0.727100i) q^{29} +(3.61407 + 3.03256i) q^{30} +5.10852i q^{31} +(-0.642788 + 0.766044i) q^{32} +(-6.25329 + 2.27601i) q^{33} +(-1.18015 + 6.69298i) q^{34} +(-0.606398 + 0.106924i) q^{35} +0.652704 q^{36} +(5.64160 + 2.27429i) q^{37} -4.14257 q^{38} +(7.04665 - 1.24252i) q^{39} +(0.534723 - 3.03256i) q^{40} +(-4.46505 + 1.62515i) q^{41} +(0.196924 - 0.234685i) q^{42} -0.399970i q^{43} +(3.32730 + 2.79194i) q^{44} +(-1.74063 + 1.00495i) q^{45} +(0.973210 + 0.354220i) q^{46} +(4.10475 - 7.10963i) q^{47} +(0.766044 + 1.32683i) q^{48} +(-1.20859 - 6.85428i) q^{49} +(1.53306 + 4.21206i) q^{50} +(9.01743 + 5.20621i) q^{51} +(-3.00203 - 3.57768i) q^{52} +(-8.65606 + 7.26330i) q^{53} +(1.91404 - 5.25877i) q^{54} +(-13.1719 - 2.32256i) q^{55} +(-0.196924 - 0.0347230i) q^{56} +(-2.17073 + 5.96403i) q^{57} +(-1.11398 + 0.934742i) q^{58} +(-2.69714 - 3.21433i) q^{59} +(-4.08576 - 2.35892i) q^{60} +(-3.60153 - 9.89514i) q^{61} +(-0.887086 - 5.03091i) q^{62} +(0.0652579 + 0.113030i) q^{63} +(0.500000 - 0.866025i) q^{64} +(13.5143 + 4.91879i) q^{65} +(5.76306 - 3.32730i) q^{66} +(6.67299 + 5.59930i) q^{67} -6.79623i q^{68} +(1.01993 - 1.21551i) q^{69} +(0.578618 - 0.210600i) q^{70} +(2.45953 - 13.9487i) q^{71} +(-0.642788 + 0.113341i) q^{72} +7.27588 q^{73} +(-5.95081 - 1.26008i) q^{74} +6.86740 q^{75} +(4.07964 - 0.719350i) q^{76} +(-0.150819 + 0.855337i) q^{77} +(-6.72384 + 2.44728i) q^{78} +(-4.04665 + 4.82261i) q^{79} +3.07935i q^{80} +(-5.06805 - 4.25260i) q^{81} +(4.11502 - 2.37581i) q^{82} +(-14.4861 - 5.27251i) q^{83} +(-0.153180 + 0.265315i) q^{84} +(10.4640 + 18.1241i) q^{85} +(0.0694540 + 0.393893i) q^{86} +(0.762009 + 2.09360i) q^{87} +(-3.76157 - 2.17174i) q^{88} +(2.06611 + 2.46229i) q^{89} +(1.53967 - 1.29194i) q^{90} +(0.319409 - 0.877568i) q^{91} +(-1.01993 - 0.179842i) q^{92} +(-7.70781 - 1.35909i) q^{93} +(-2.80781 + 7.71440i) q^{94} +(-9.77198 + 8.19967i) q^{95} +(-0.984808 - 1.17365i) q^{96} +(2.07350 + 1.19713i) q^{97} +(2.38047 + 6.54027i) q^{98} +(0.492294 + 2.79194i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q + 6 q^{3} - 12 q^{7} - 6 q^{9} + 6 q^{10} - 6 q^{11} - 6 q^{12} + 6 q^{13} - 18 q^{14} - 18 q^{19} - 6 q^{21} - 18 q^{25} + 12 q^{26} - 6 q^{27} - 6 q^{28} + 18 q^{29} + 24 q^{30} - 6 q^{33} + 12 q^{34} + 18 q^{35} + 12 q^{36} + 30 q^{37} - 24 q^{38} + 30 q^{39} + 12 q^{40} + 24 q^{41} + 6 q^{44} - 18 q^{45} + 30 q^{46} + 6 q^{47} + 12 q^{49} - 36 q^{50} - 12 q^{52} - 12 q^{53} - 18 q^{55} - 36 q^{57} + 6 q^{58} - 36 q^{61} - 6 q^{63} + 6 q^{64} + 36 q^{65} - 30 q^{67} - 18 q^{69} - 12 q^{70} + 12 q^{71} - 48 q^{74} - 36 q^{75} - 18 q^{76} + 12 q^{77} - 6 q^{78} + 6 q^{79} + 24 q^{81} - 48 q^{83} + 12 q^{84} + 18 q^{85} - 36 q^{86} + 36 q^{87} - 36 q^{88} - 18 q^{89} + 6 q^{90} - 6 q^{91} + 18 q^{92} - 12 q^{93} + 36 q^{97} + 36 q^{98} + 30 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 + 0.173648i −0.696364 + 0.122788i
\(3\) −0.266044 + 1.50881i −0.153601 + 0.871114i 0.806453 + 0.591298i \(0.201384\pi\)
−0.960054 + 0.279815i \(0.909727\pi\)
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) −1.97937 + 2.35892i −0.885199 + 1.05494i 0.112918 + 0.993604i \(0.463980\pi\)
−0.998117 + 0.0613353i \(0.980464\pi\)
\(6\) 1.53209i 0.625473i
\(7\) 0.153180 + 0.128533i 0.0578965 + 0.0485809i 0.671277 0.741207i \(-0.265746\pi\)
−0.613380 + 0.789788i \(0.710191\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) 0.613341 + 0.223238i 0.204447 + 0.0744126i
\(10\) 1.53967 2.66679i 0.486888 0.843314i
\(11\) 2.17174 + 3.76157i 0.654805 + 1.13416i 0.981943 + 0.189179i \(0.0605827\pi\)
−0.327137 + 0.944977i \(0.606084\pi\)
\(12\) 0.266044 + 1.50881i 0.0768004 + 0.435557i
\(13\) −1.59735 4.38867i −0.443024 1.21720i −0.937493 0.348004i \(-0.886860\pi\)
0.494469 0.869195i \(-0.335363\pi\)
\(14\) −0.173172 0.0999810i −0.0462822 0.0267210i
\(15\) −3.03256 3.61407i −0.783005 0.933149i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 2.32445 6.38637i 0.563761 1.54892i −0.250316 0.968164i \(-0.580534\pi\)
0.814077 0.580757i \(-0.197243\pi\)
\(18\) −0.642788 0.113341i −0.151506 0.0267147i
\(19\) 4.07964 + 0.719350i 0.935933 + 0.165030i 0.620757 0.784003i \(-0.286825\pi\)
0.315176 + 0.949033i \(0.397936\pi\)
\(20\) −1.05320 + 2.89364i −0.235502 + 0.647038i
\(21\) −0.234685 + 0.196924i −0.0512125 + 0.0429724i
\(22\) −2.79194 3.32730i −0.595244 0.709384i
\(23\) −0.896915 0.517834i −0.187020 0.107976i 0.403567 0.914950i \(-0.367770\pi\)
−0.590587 + 0.806974i \(0.701104\pi\)
\(24\) −0.524005 1.43969i −0.106962 0.293876i
\(25\) −0.778357 4.41428i −0.155671 0.882856i
\(26\) 2.33516 + 4.04462i 0.457964 + 0.793216i
\(27\) −2.79813 + 4.84651i −0.538501 + 0.932711i
\(28\) 0.187903 + 0.0683910i 0.0355103 + 0.0129247i
\(29\) 1.25937 0.727100i 0.233860 0.135019i −0.378492 0.925605i \(-0.623557\pi\)
0.612351 + 0.790586i \(0.290224\pi\)
\(30\) 3.61407 + 3.03256i 0.659836 + 0.553668i
\(31\) 5.10852i 0.917518i 0.888561 + 0.458759i \(0.151706\pi\)
−0.888561 + 0.458759i \(0.848294\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) −6.25329 + 2.27601i −1.08856 + 0.396202i
\(34\) −1.18015 + 6.69298i −0.202395 + 1.14784i
\(35\) −0.606398 + 0.106924i −0.102500 + 0.0180735i
\(36\) 0.652704 0.108784
\(37\) 5.64160 + 2.27429i 0.927473 + 0.373891i
\(38\) −4.14257 −0.672014
\(39\) 7.04665 1.24252i 1.12837 0.198962i
\(40\) 0.534723 3.03256i 0.0845471 0.479491i
\(41\) −4.46505 + 1.62515i −0.697324 + 0.253805i −0.666268 0.745712i \(-0.732109\pi\)
−0.0310562 + 0.999518i \(0.509887\pi\)
\(42\) 0.196924 0.234685i 0.0303860 0.0362127i
\(43\) 0.399970i 0.0609948i −0.999535 0.0304974i \(-0.990291\pi\)
0.999535 0.0304974i \(-0.00970913\pi\)
\(44\) 3.32730 + 2.79194i 0.501610 + 0.420901i
\(45\) −1.74063 + 1.00495i −0.259477 + 0.149809i
\(46\) 0.973210 + 0.354220i 0.143492 + 0.0522268i
\(47\) 4.10475 7.10963i 0.598739 1.03705i −0.394269 0.918995i \(-0.629002\pi\)
0.993008 0.118051i \(-0.0376646\pi\)
\(48\) 0.766044 + 1.32683i 0.110569 + 0.191511i
\(49\) −1.20859 6.85428i −0.172656 0.979182i
\(50\) 1.53306 + 4.21206i 0.216808 + 0.595675i
\(51\) 9.01743 + 5.20621i 1.26269 + 0.729016i
\(52\) −3.00203 3.57768i −0.416307 0.496135i
\(53\) −8.65606 + 7.26330i −1.18900 + 0.997690i −0.189125 + 0.981953i \(0.560565\pi\)
−0.999876 + 0.0157372i \(0.994990\pi\)
\(54\) 1.91404 5.25877i 0.260467 0.715628i
\(55\) −13.1719 2.32256i −1.77610 0.313174i
\(56\) −0.196924 0.0347230i −0.0263151 0.00464006i
\(57\) −2.17073 + 5.96403i −0.287520 + 0.789955i
\(58\) −1.11398 + 0.934742i −0.146273 + 0.122738i
\(59\) −2.69714 3.21433i −0.351138 0.418470i 0.561347 0.827581i \(-0.310283\pi\)
−0.912485 + 0.409111i \(0.865839\pi\)
\(60\) −4.08576 2.35892i −0.527470 0.304535i
\(61\) −3.60153 9.89514i −0.461129 1.26694i −0.924637 0.380849i \(-0.875632\pi\)
0.463508 0.886093i \(-0.346591\pi\)
\(62\) −0.887086 5.03091i −0.112660 0.638927i
\(63\) 0.0652579 + 0.113030i 0.00822173 + 0.0142404i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) 13.5143 + 4.91879i 1.67624 + 0.610100i
\(66\) 5.76306 3.32730i 0.709384 0.409563i
\(67\) 6.67299 + 5.59930i 0.815235 + 0.684063i 0.951851 0.306561i \(-0.0991782\pi\)
−0.136616 + 0.990624i \(0.543623\pi\)
\(68\) 6.79623i 0.824164i
\(69\) 1.01993 1.21551i 0.122786 0.146330i
\(70\) 0.578618 0.210600i 0.0691581 0.0251715i
\(71\) 2.45953 13.9487i 0.291893 1.65541i −0.387675 0.921796i \(-0.626722\pi\)
0.679569 0.733612i \(-0.262167\pi\)
\(72\) −0.642788 + 0.113341i −0.0757532 + 0.0133573i
\(73\) 7.27588 0.851577 0.425789 0.904823i \(-0.359997\pi\)
0.425789 + 0.904823i \(0.359997\pi\)
\(74\) −5.95081 1.26008i −0.691768 0.146482i
\(75\) 6.86740 0.792979
\(76\) 4.07964 0.719350i 0.467967 0.0825151i
\(77\) −0.150819 + 0.855337i −0.0171874 + 0.0974747i
\(78\) −6.72384 + 2.44728i −0.761325 + 0.277100i
\(79\) −4.04665 + 4.82261i −0.455284 + 0.542587i −0.944039 0.329835i \(-0.893007\pi\)
0.488754 + 0.872421i \(0.337451\pi\)
\(80\) 3.07935i 0.344281i
\(81\) −5.06805 4.25260i −0.563116 0.472511i
\(82\) 4.11502 2.37581i 0.454427 0.262364i
\(83\) −14.4861 5.27251i −1.59006 0.578733i −0.612696 0.790318i \(-0.709915\pi\)
−0.977360 + 0.211585i \(0.932137\pi\)
\(84\) −0.153180 + 0.265315i −0.0167133 + 0.0289482i
\(85\) 10.4640 + 18.1241i 1.13498 + 1.96584i
\(86\) 0.0694540 + 0.393893i 0.00748942 + 0.0424746i
\(87\) 0.762009 + 2.09360i 0.0816959 + 0.224458i
\(88\) −3.76157 2.17174i −0.400985 0.231509i
\(89\) 2.06611 + 2.46229i 0.219007 + 0.261002i 0.864350 0.502890i \(-0.167730\pi\)
−0.645343 + 0.763893i \(0.723286\pi\)
\(90\) 1.53967 1.29194i 0.162296 0.136182i
\(91\) 0.319409 0.877568i 0.0334831 0.0919941i
\(92\) −1.01993 0.179842i −0.106336 0.0187498i
\(93\) −7.70781 1.35909i −0.799262 0.140932i
\(94\) −2.80781 + 7.71440i −0.289604 + 0.795680i
\(95\) −9.77198 + 8.19967i −1.00258 + 0.841268i
\(96\) −0.984808 1.17365i −0.100512 0.119785i
\(97\) 2.07350 + 1.19713i 0.210532 + 0.121551i 0.601559 0.798829i \(-0.294547\pi\)
−0.391027 + 0.920379i \(0.627880\pi\)
\(98\) 2.38047 + 6.54027i 0.240463 + 0.660668i
\(99\) 0.492294 + 2.79194i 0.0494774 + 0.280600i
\(100\) −2.24119 3.88185i −0.224119 0.388185i
\(101\) 5.48150 9.49423i 0.545429 0.944711i −0.453150 0.891434i \(-0.649700\pi\)
0.998580 0.0532773i \(-0.0169667\pi\)
\(102\) −9.78448 3.56126i −0.968808 0.352617i
\(103\) −13.6274 + 7.86780i −1.34275 + 0.775238i −0.987210 0.159423i \(-0.949037\pi\)
−0.355541 + 0.934661i \(0.615703\pi\)
\(104\) 3.57768 + 3.00203i 0.350820 + 0.294373i
\(105\) 0.943387i 0.0920652i
\(106\) 7.26330 8.65606i 0.705474 0.840751i
\(107\) 17.4933 6.36704i 1.69114 0.615525i 0.696373 0.717680i \(-0.254796\pi\)
0.994769 + 0.102154i \(0.0325736\pi\)
\(108\) −0.971782 + 5.51125i −0.0935097 + 0.530320i
\(109\) 0.00691666 0.00121959i 0.000662495 0.000116816i −0.173317 0.984866i \(-0.555448\pi\)
0.173979 + 0.984749i \(0.444337\pi\)
\(110\) 13.3751 1.27527
\(111\) −4.93239 + 7.90705i −0.468162 + 0.750504i
\(112\) 0.199962 0.0188946
\(113\) 2.52369 0.444994i 0.237408 0.0418615i −0.0536779 0.998558i \(-0.517094\pi\)
0.291086 + 0.956697i \(0.405983\pi\)
\(114\) 1.10211 6.25037i 0.103222 0.585401i
\(115\) 2.99685 1.09076i 0.279458 0.101714i
\(116\) 0.934742 1.11398i 0.0867886 0.103431i
\(117\) 3.04834i 0.281819i
\(118\) 3.21433 + 2.69714i 0.295903 + 0.248292i
\(119\) 1.17692 0.679493i 0.107888 0.0622891i
\(120\) 4.43331 + 1.61359i 0.404704 + 0.147300i
\(121\) −3.93294 + 6.81205i −0.357540 + 0.619277i
\(122\) 5.26509 + 9.11941i 0.476679 + 0.825632i
\(123\) −1.26414 7.16929i −0.113984 0.646433i
\(124\) 1.74722 + 4.80044i 0.156905 + 0.431092i
\(125\) −1.38039 0.796967i −0.123466 0.0712829i
\(126\) −0.0838940 0.0999810i −0.00747387 0.00890701i
\(127\) −4.44843 + 3.73268i −0.394735 + 0.331222i −0.818454 0.574572i \(-0.805169\pi\)
0.423720 + 0.905793i \(0.360724\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) 0.603479 + 0.106410i 0.0531334 + 0.00936885i
\(130\) −14.1631 2.49733i −1.24218 0.219031i
\(131\) −2.86257 + 7.86484i −0.250104 + 0.687154i 0.749578 + 0.661916i \(0.230257\pi\)
−0.999681 + 0.0252378i \(0.991966\pi\)
\(132\) −5.09773 + 4.27750i −0.443700 + 0.372309i
\(133\) 0.532457 + 0.634558i 0.0461699 + 0.0550232i
\(134\) −7.54392 4.35548i −0.651695 0.376256i
\(135\) −5.89398 16.1936i −0.507273 1.39372i
\(136\) 1.18015 + 6.69298i 0.101197 + 0.573918i
\(137\) 0.788995 + 1.36658i 0.0674084 + 0.116755i 0.897760 0.440485i \(-0.145194\pi\)
−0.830351 + 0.557240i \(0.811860\pi\)
\(138\) −0.793368 + 1.37415i −0.0675360 + 0.116976i
\(139\) −9.32521 3.39410i −0.790954 0.287884i −0.0852214 0.996362i \(-0.527160\pi\)
−0.705733 + 0.708478i \(0.749382\pi\)
\(140\) −0.533257 + 0.307876i −0.0450684 + 0.0260203i
\(141\) 9.63506 + 8.08477i 0.811418 + 0.680861i
\(142\) 14.1639i 1.18861i
\(143\) 13.0393 15.5396i 1.09040 1.29949i
\(144\) 0.613341 0.223238i 0.0511117 0.0186031i
\(145\) −0.777594 + 4.40996i −0.0645757 + 0.366227i
\(146\) −7.16534 + 1.26344i −0.593008 + 0.104563i
\(147\) 10.6634 0.879499
\(148\) 6.07922 + 0.207592i 0.499709 + 0.0170640i
\(149\) 12.8504 1.05274 0.526372 0.850254i \(-0.323552\pi\)
0.526372 + 0.850254i \(0.323552\pi\)
\(150\) −6.76307 + 1.19251i −0.552202 + 0.0973682i
\(151\) 0.900597 5.10754i 0.0732895 0.415646i −0.925985 0.377560i \(-0.876763\pi\)
0.999274 0.0380852i \(-0.0121258\pi\)
\(152\) −3.89275 + 1.41684i −0.315743 + 0.114921i
\(153\) 2.85136 3.39811i 0.230519 0.274721i
\(154\) 0.868532i 0.0699883i
\(155\) −12.0506 10.1116i −0.967926 0.812186i
\(156\) 6.19672 3.57768i 0.496135 0.286444i
\(157\) −11.2421 4.09177i −0.897214 0.326559i −0.148078 0.988976i \(-0.547309\pi\)
−0.749136 + 0.662416i \(0.769531\pi\)
\(158\) 3.14774 5.45204i 0.250421 0.433741i
\(159\) −8.65606 14.9927i −0.686470 1.18900i
\(160\) −0.534723 3.03256i −0.0422736 0.239745i
\(161\) −0.0708304 0.194605i −0.00558222 0.0153370i
\(162\) 5.72951 + 3.30793i 0.450153 + 0.259896i
\(163\) −0.454390 0.541521i −0.0355906 0.0424152i 0.747956 0.663749i \(-0.231036\pi\)
−0.783546 + 0.621334i \(0.786591\pi\)
\(164\) −3.63995 + 3.05428i −0.284232 + 0.238499i
\(165\) 7.00862 19.2560i 0.545621 1.49908i
\(166\) 15.1816 + 2.67692i 1.17832 + 0.207770i
\(167\) −6.50943 1.14779i −0.503715 0.0888185i −0.0839840 0.996467i \(-0.526764\pi\)
−0.419731 + 0.907649i \(0.637876\pi\)
\(168\) 0.104781 0.287884i 0.00808404 0.0222107i
\(169\) −6.75037 + 5.66423i −0.519259 + 0.435710i
\(170\) −13.4522 16.0317i −1.03174 1.22958i
\(171\) 2.34162 + 1.35194i 0.179068 + 0.103385i
\(172\) −0.136798 0.375848i −0.0104307 0.0286582i
\(173\) 2.67447 + 15.1676i 0.203336 + 1.15317i 0.900037 + 0.435813i \(0.143539\pi\)
−0.696701 + 0.717361i \(0.745350\pi\)
\(174\) −1.11398 1.92947i −0.0844508 0.146273i
\(175\) 0.448153 0.776223i 0.0338771 0.0586769i
\(176\) 4.08154 + 1.48556i 0.307658 + 0.111978i
\(177\) 5.56739 3.21433i 0.418470 0.241604i
\(178\) −2.46229 2.06611i −0.184557 0.154861i
\(179\) 2.55438i 0.190923i 0.995433 + 0.0954617i \(0.0304328\pi\)
−0.995433 + 0.0954617i \(0.969567\pi\)
\(180\) −1.29194 + 1.53967i −0.0962955 + 0.114760i
\(181\) −7.88211 + 2.86885i −0.585873 + 0.213240i −0.617913 0.786246i \(-0.712022\pi\)
0.0320404 + 0.999487i \(0.489799\pi\)
\(182\) −0.162168 + 0.919700i −0.0120207 + 0.0681727i
\(183\) 15.8881 2.80150i 1.17448 0.207093i
\(184\) 1.03567 0.0763505
\(185\) −16.5316 + 8.80641i −1.21543 + 0.647460i
\(186\) 7.82671 0.573882
\(187\) 29.0709 5.12598i 2.12587 0.374849i
\(188\) 1.42556 8.08477i 0.103970 0.589643i
\(189\) −1.05155 + 0.382734i −0.0764893 + 0.0278398i
\(190\) 8.19967 9.77198i 0.594866 0.708934i
\(191\) 6.48182i 0.469008i −0.972115 0.234504i \(-0.924653\pi\)
0.972115 0.234504i \(-0.0753466\pi\)
\(192\) 1.17365 + 0.984808i 0.0847008 + 0.0710724i
\(193\) −18.1716 + 10.4914i −1.30802 + 0.755186i −0.981766 0.190096i \(-0.939120\pi\)
−0.326255 + 0.945282i \(0.605787\pi\)
\(194\) −2.24988 0.818888i −0.161532 0.0587927i
\(195\) −11.0169 + 19.0819i −0.788938 + 1.36648i
\(196\) −3.48001 6.02755i −0.248572 0.430539i
\(197\) −0.287925 1.63290i −0.0205138 0.116340i 0.972831 0.231515i \(-0.0743682\pi\)
−0.993345 + 0.115175i \(0.963257\pi\)
\(198\) −0.969630 2.66404i −0.0689086 0.189325i
\(199\) 6.25254 + 3.60991i 0.443231 + 0.255900i 0.704967 0.709240i \(-0.250962\pi\)
−0.261736 + 0.965139i \(0.584295\pi\)
\(200\) 2.88122 + 3.43370i 0.203733 + 0.242799i
\(201\) −10.2236 + 8.57863i −0.721118 + 0.605090i
\(202\) −3.74956 + 10.3018i −0.263818 + 0.724835i
\(203\) 0.286367 + 0.0504942i 0.0200990 + 0.00354400i
\(204\) 10.2542 + 1.80810i 0.717940 + 0.126592i
\(205\) 5.00439 13.7495i 0.349522 0.960303i
\(206\) 12.0542 10.1147i 0.839854 0.704721i
\(207\) −0.434515 0.517834i −0.0302009 0.0359920i
\(208\) −4.04462 2.33516i −0.280444 0.161915i
\(209\) 6.15404 + 16.9081i 0.425684 + 1.16956i
\(210\) 0.163817 + 0.929055i 0.0113045 + 0.0641109i
\(211\) −2.25434 3.90463i −0.155195 0.268806i 0.777935 0.628345i \(-0.216267\pi\)
−0.933130 + 0.359539i \(0.882934\pi\)
\(212\) −5.64984 + 9.78581i −0.388033 + 0.672092i
\(213\) 20.3917 + 7.42196i 1.39721 + 0.508544i
\(214\) −16.1219 + 9.30799i −1.10207 + 0.636281i
\(215\) 0.943495 + 0.791686i 0.0643458 + 0.0539926i
\(216\) 5.59627i 0.380778i
\(217\) −0.656614 + 0.782522i −0.0445739 + 0.0531211i
\(218\) −0.00659980 + 0.00240213i −0.000446995 + 0.000162693i
\(219\) −1.93571 + 10.9779i −0.130803 + 0.741821i
\(220\) −13.1719 + 2.32256i −0.888050 + 0.156587i
\(221\) −31.7406 −2.13511
\(222\) 3.48441 8.64343i 0.233858 0.580109i
\(223\) 13.6418 0.913526 0.456763 0.889588i \(-0.349009\pi\)
0.456763 + 0.889588i \(0.349009\pi\)
\(224\) −0.196924 + 0.0347230i −0.0131575 + 0.00232003i
\(225\) 0.508036 2.88122i 0.0338691 0.192081i
\(226\) −2.40807 + 0.876467i −0.160183 + 0.0583017i
\(227\) −17.5084 + 20.8657i −1.16207 + 1.38490i −0.253414 + 0.967358i \(0.581554\pi\)
−0.908657 + 0.417544i \(0.862891\pi\)
\(228\) 6.34679i 0.420326i
\(229\) 1.56117 + 1.30998i 0.103165 + 0.0865658i 0.692911 0.721023i \(-0.256328\pi\)
−0.589746 + 0.807589i \(0.700772\pi\)
\(230\) −2.76191 + 1.59459i −0.182115 + 0.105144i
\(231\) −1.25042 0.455115i −0.0822715 0.0299444i
\(232\) −0.727100 + 1.25937i −0.0477365 + 0.0826820i
\(233\) 1.94247 + 3.36446i 0.127256 + 0.220413i 0.922612 0.385728i \(-0.126050\pi\)
−0.795357 + 0.606142i \(0.792716\pi\)
\(234\) 0.529339 + 3.00203i 0.0346040 + 0.196249i
\(235\) 8.64623 + 23.7553i 0.564018 + 1.54963i
\(236\) −3.63385 2.09801i −0.236544 0.136569i
\(237\) −6.19983 7.38867i −0.402722 0.479946i
\(238\) −1.04104 + 0.873540i −0.0674809 + 0.0566232i
\(239\) −6.35148 + 17.4506i −0.410843 + 1.12878i 0.545900 + 0.837850i \(0.316188\pi\)
−0.956744 + 0.290933i \(0.906034\pi\)
\(240\) −4.64616 0.819243i −0.299908 0.0528819i
\(241\) 24.9528 + 4.39985i 1.60735 + 0.283420i 0.904036 0.427457i \(-0.140591\pi\)
0.703317 + 0.710877i \(0.251702\pi\)
\(242\) 2.69029 7.39151i 0.172938 0.475144i
\(243\) −5.09627 + 4.27628i −0.326926 + 0.274323i
\(244\) −6.76867 8.06659i −0.433320 0.516410i
\(245\) 18.5609 + 10.7162i 1.18581 + 0.684630i
\(246\) 2.48987 + 6.84086i 0.158748 + 0.436157i
\(247\) −3.35960 19.0533i −0.213766 1.21233i
\(248\) −2.55426 4.42411i −0.162196 0.280931i
\(249\) 11.8092 20.4541i 0.748376 1.29623i
\(250\) 1.49781 + 0.545158i 0.0947298 + 0.0344788i
\(251\) 11.0092 6.35615i 0.694893 0.401197i −0.110549 0.993871i \(-0.535261\pi\)
0.805443 + 0.592674i \(0.201928\pi\)
\(252\) 0.0999810 + 0.0838940i 0.00629821 + 0.00528482i
\(253\) 4.49841i 0.282813i
\(254\) 3.73268 4.44843i 0.234209 0.279119i
\(255\) −30.1298 + 10.9664i −1.88680 + 0.686740i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 4.28106 0.754866i 0.267045 0.0470873i −0.0385222 0.999258i \(-0.512265\pi\)
0.305567 + 0.952170i \(0.401154\pi\)
\(258\) −0.612789 −0.0381506
\(259\) 0.571857 + 1.07351i 0.0355335 + 0.0667044i
\(260\) 14.3816 0.891907
\(261\) 0.934742 0.164820i 0.0578591 0.0102021i
\(262\) 1.45336 8.24243i 0.0897891 0.509219i
\(263\) 6.11870 2.22703i 0.377295 0.137324i −0.146409 0.989224i \(-0.546772\pi\)
0.523705 + 0.851900i \(0.324549\pi\)
\(264\) 4.27750 5.09773i 0.263262 0.313743i
\(265\) 34.7956i 2.13748i
\(266\) −0.634558 0.532457i −0.0389073 0.0326471i
\(267\) −4.26481 + 2.46229i −0.261002 + 0.150690i
\(268\) 8.18563 + 2.97933i 0.500017 + 0.181991i
\(269\) 4.95106 8.57549i 0.301872 0.522857i −0.674688 0.738103i \(-0.735722\pi\)
0.976560 + 0.215246i \(0.0690552\pi\)
\(270\) 8.61642 + 14.9241i 0.524379 + 0.908251i
\(271\) 1.56719 + 8.88797i 0.0951999 + 0.539906i 0.994686 + 0.102956i \(0.0328301\pi\)
−0.899486 + 0.436950i \(0.856059\pi\)
\(272\) −2.32445 6.38637i −0.140940 0.387230i
\(273\) 1.23911 + 0.715400i 0.0749943 + 0.0432980i
\(274\) −1.01431 1.20881i −0.0612768 0.0730269i
\(275\) 14.9142 12.5145i 0.899362 0.754655i
\(276\) 0.542696 1.49104i 0.0326664 0.0897503i
\(277\) −0.204926 0.0361340i −0.0123128 0.00217108i 0.167488 0.985874i \(-0.446434\pi\)
−0.179801 + 0.983703i \(0.557545\pi\)
\(278\) 9.77292 + 1.72323i 0.586141 + 0.103352i
\(279\) −1.14042 + 3.13327i −0.0682749 + 0.187584i
\(280\) 0.471694 0.395798i 0.0281891 0.0236534i
\(281\) −17.3934 20.7286i −1.03760 1.23657i −0.971073 0.238781i \(-0.923252\pi\)
−0.0665281 0.997785i \(-0.521192\pi\)
\(282\) −10.8926 6.28884i −0.648644 0.374495i
\(283\) 0.278026 + 0.763870i 0.0165269 + 0.0454074i 0.947682 0.319217i \(-0.103420\pi\)
−0.931155 + 0.364624i \(0.881198\pi\)
\(284\) −2.45953 13.9487i −0.145947 0.827704i
\(285\) −9.77198 16.9256i −0.578842 1.00258i
\(286\) −10.1428 + 17.5678i −0.599754 + 1.03880i
\(287\) −0.892841 0.324967i −0.0527027 0.0191822i
\(288\) −0.565258 + 0.326352i −0.0333081 + 0.0192305i
\(289\) −22.3599 18.7621i −1.31529 1.10366i
\(290\) 4.47799i 0.262957i
\(291\) −2.35789 + 2.81003i −0.138222 + 0.164727i
\(292\) 6.83709 2.48850i 0.400110 0.145628i
\(293\) −1.52803 + 8.66589i −0.0892684 + 0.506266i 0.907085 + 0.420947i \(0.138302\pi\)
−0.996354 + 0.0853194i \(0.972809\pi\)
\(294\) −10.5014 + 1.85167i −0.612452 + 0.107992i
\(295\) 12.9210 0.752288
\(296\) −6.02291 + 0.851207i −0.350075 + 0.0494754i
\(297\) −24.3073 −1.41045
\(298\) −12.6552 + 2.23145i −0.733094 + 0.129264i
\(299\) −0.839921 + 4.76343i −0.0485739 + 0.275476i
\(300\) 6.45325 2.34879i 0.372578 0.135607i
\(301\) 0.0514093 0.0612672i 0.00296318 0.00353138i
\(302\) 5.18633i 0.298440i
\(303\) 12.8667 + 10.7964i 0.739173 + 0.620239i
\(304\) 3.58757 2.07129i 0.205761 0.118796i
\(305\) 30.4706 + 11.0904i 1.74474 + 0.635033i
\(306\) −2.21796 + 3.84162i −0.126792 + 0.219611i
\(307\) −12.2271 21.1779i −0.697836 1.20869i −0.969215 0.246215i \(-0.920813\pi\)
0.271379 0.962472i \(-0.412520\pi\)
\(308\) 0.150819 + 0.855337i 0.00859371 + 0.0487374i
\(309\) −8.24554 22.6544i −0.469072 1.28877i
\(310\) 13.6234 + 7.86546i 0.773756 + 0.446728i
\(311\) 0.00816038 + 0.00972517i 0.000462733 + 0.000551464i 0.766276 0.642512i \(-0.222108\pi\)
−0.765813 + 0.643063i \(0.777663\pi\)
\(312\) −5.48132 + 4.59938i −0.310319 + 0.260388i
\(313\) 5.97456 16.4150i 0.337702 0.927829i −0.648343 0.761349i \(-0.724538\pi\)
0.986045 0.166480i \(-0.0532402\pi\)
\(314\) 11.7818 + 2.07745i 0.664885 + 0.117237i
\(315\) −0.395798 0.0697898i −0.0223007 0.00393221i
\(316\) −2.15318 + 5.91581i −0.121126 + 0.332790i
\(317\) 2.09046 1.75410i 0.117412 0.0985203i −0.582191 0.813052i \(-0.697805\pi\)
0.699603 + 0.714531i \(0.253360\pi\)
\(318\) 11.1280 + 13.2619i 0.624028 + 0.743688i
\(319\) 5.47008 + 3.15815i 0.306266 + 0.176822i
\(320\) 1.05320 + 2.89364i 0.0588756 + 0.161759i
\(321\) 4.95268 + 28.0880i 0.276432 + 1.56772i
\(322\) 0.103547 + 0.179349i 0.00577046 + 0.00999472i
\(323\) 14.0769 24.3820i 0.783262 1.35665i
\(324\) −6.21688 2.26276i −0.345382 0.125709i
\(325\) −18.1295 + 10.4671i −1.00565 + 0.580610i
\(326\) 0.541521 + 0.454390i 0.0299921 + 0.0251663i
\(327\) 0.0107604i 0.000595052i
\(328\) 3.05428 3.63995i 0.168644 0.200982i
\(329\) 1.54259 0.561455i 0.0850455 0.0309540i
\(330\) −3.55837 + 20.1805i −0.195882 + 1.11090i
\(331\) −23.2573 + 4.10088i −1.27834 + 0.225405i −0.771273 0.636504i \(-0.780380\pi\)
−0.507062 + 0.861909i \(0.669269\pi\)
\(332\) −15.4158 −0.846051
\(333\) 2.95251 + 2.65433i 0.161797 + 0.145456i
\(334\) 6.60985 0.361675
\(335\) −26.4166 + 4.65795i −1.44329 + 0.254491i
\(336\) −0.0531988 + 0.301705i −0.00290223 + 0.0164594i
\(337\) 21.0920 7.67685i 1.14895 0.418185i 0.303814 0.952731i \(-0.401740\pi\)
0.845139 + 0.534546i \(0.179517\pi\)
\(338\) 5.66423 6.75037i 0.308094 0.367172i
\(339\) 3.92616i 0.213240i
\(340\) 16.0317 + 13.4522i 0.869443 + 0.729549i
\(341\) −19.2161 + 11.0944i −1.04061 + 0.600796i
\(342\) −2.54081 0.924779i −0.137391 0.0500063i
\(343\) 1.39574 2.41749i 0.0753626 0.130532i
\(344\) 0.199985 + 0.346384i 0.0107825 + 0.0186758i
\(345\) 0.848464 + 4.81188i 0.0456798 + 0.259063i
\(346\) −5.26767 14.4728i −0.283192 0.778063i
\(347\) −1.05232 0.607556i −0.0564914 0.0326153i 0.471488 0.881872i \(-0.343717\pi\)
−0.527980 + 0.849257i \(0.677050\pi\)
\(348\) 1.43211 + 1.70672i 0.0767690 + 0.0914898i
\(349\) 13.5892 11.4027i 0.727415 0.610374i −0.202011 0.979383i \(-0.564748\pi\)
0.929426 + 0.369010i \(0.120303\pi\)
\(350\) −0.306554 + 0.842251i −0.0163860 + 0.0450202i
\(351\) 25.7393 + 4.53854i 1.37386 + 0.242249i
\(352\) −4.27750 0.754239i −0.227991 0.0402011i
\(353\) 0.549304 1.50920i 0.0292365 0.0803266i −0.924216 0.381871i \(-0.875280\pi\)
0.953452 + 0.301544i \(0.0975021\pi\)
\(354\) −4.92464 + 4.13227i −0.261742 + 0.219627i
\(355\) 28.0355 + 33.4115i 1.48797 + 1.77330i
\(356\) 2.78366 + 1.60715i 0.147534 + 0.0851786i
\(357\) 0.712116 + 1.95652i 0.0376892 + 0.103550i
\(358\) −0.443564 2.51558i −0.0234431 0.132952i
\(359\) 16.0062 + 27.7236i 0.844775 + 1.46319i 0.885816 + 0.464037i \(0.153599\pi\)
−0.0410405 + 0.999157i \(0.513067\pi\)
\(360\) 1.00495 1.74063i 0.0529655 0.0917390i
\(361\) −1.72818 0.629006i −0.0909568 0.0331056i
\(362\) 7.26419 4.19398i 0.381798 0.220431i
\(363\) −9.23177 7.74638i −0.484542 0.406579i
\(364\) 0.933888i 0.0489490i
\(365\) −14.4016 + 17.1632i −0.753816 + 0.898363i
\(366\) −15.1602 + 5.51787i −0.792438 + 0.288424i
\(367\) 2.78467 15.7927i 0.145359 0.824371i −0.821720 0.569892i \(-0.806985\pi\)
0.967078 0.254479i \(-0.0819038\pi\)
\(368\) −1.01993 + 0.179842i −0.0531678 + 0.00937491i
\(369\) −3.10139 −0.161452
\(370\) 14.7513 11.5433i 0.766882 0.600108i
\(371\) −2.25951 −0.117308
\(372\) −7.70781 + 1.35909i −0.399631 + 0.0704658i
\(373\) −0.193859 + 1.09943i −0.0100376 + 0.0569262i −0.989415 0.145113i \(-0.953646\pi\)
0.979378 + 0.202039i \(0.0647567\pi\)
\(374\) −27.7391 + 10.0962i −1.43435 + 0.522062i
\(375\) 1.56972 1.87072i 0.0810600 0.0966035i
\(376\) 8.20949i 0.423372i
\(377\) −5.20266 4.36555i −0.267951 0.224837i
\(378\) 0.969117 0.559520i 0.0498460 0.0287786i
\(379\) −34.2433 12.4636i −1.75896 0.640210i −0.759021 0.651066i \(-0.774322\pi\)
−0.999941 + 0.0108561i \(0.996544\pi\)
\(380\) −6.37821 + 11.0474i −0.327195 + 0.566719i
\(381\) −4.44843 7.70491i −0.227900 0.394735i
\(382\) 1.12556 + 6.38335i 0.0575885 + 0.326601i
\(383\) 2.06267 + 5.66715i 0.105398 + 0.289578i 0.981170 0.193147i \(-0.0618694\pi\)
−0.875772 + 0.482725i \(0.839647\pi\)
\(384\) −1.32683 0.766044i −0.0677094 0.0390920i
\(385\) −1.71914 2.04879i −0.0876156 0.104416i
\(386\) 16.0737 13.4875i 0.818131 0.686494i
\(387\) 0.0892883 0.245318i 0.00453878 0.0124702i
\(388\) 2.35789 + 0.415760i 0.119704 + 0.0211070i
\(389\) 18.5468 + 3.27030i 0.940361 + 0.165811i 0.622759 0.782413i \(-0.286012\pi\)
0.317601 + 0.948224i \(0.397123\pi\)
\(390\) 7.53602 20.7050i 0.381601 1.04844i
\(391\) −5.39191 + 4.52435i −0.272681 + 0.228806i
\(392\) 4.47381 + 5.33168i 0.225962 + 0.269291i
\(393\) −11.1050 6.41147i −0.560173 0.323416i
\(394\) 0.567102 + 1.55810i 0.0285702 + 0.0784959i
\(395\) −3.36634 19.0914i −0.169379 0.960595i
\(396\) 1.41750 + 2.45519i 0.0712323 + 0.123378i
\(397\) −13.7557 + 23.8255i −0.690378 + 1.19577i 0.281336 + 0.959609i \(0.409222\pi\)
−0.971714 + 0.236160i \(0.924111\pi\)
\(398\) −6.78441 2.46932i −0.340072 0.123776i
\(399\) −1.09909 + 0.634558i −0.0550232 + 0.0317676i
\(400\) −3.43370 2.88122i −0.171685 0.144061i
\(401\) 22.0721i 1.10223i 0.834430 + 0.551114i \(0.185797\pi\)
−0.834430 + 0.551114i \(0.814203\pi\)
\(402\) 8.57863 10.2236i 0.427863 0.509907i
\(403\) 22.4196 8.16008i 1.11680 0.406483i
\(404\) 1.90370 10.7964i 0.0947128 0.537143i
\(405\) 20.0630 3.53766i 0.996941 0.175788i
\(406\) −0.290785 −0.0144314
\(407\) 3.69721 + 26.1604i 0.183264 + 1.29672i
\(408\) −10.4124 −0.515492
\(409\) −1.39932 + 0.246737i −0.0691917 + 0.0122004i −0.208137 0.978100i \(-0.566740\pi\)
0.138945 + 0.990300i \(0.455629\pi\)
\(410\) −2.54080 + 14.4096i −0.125481 + 0.711638i
\(411\) −2.27182 + 0.826875i −0.112061 + 0.0407867i
\(412\) −10.1147 + 12.0542i −0.498313 + 0.593866i
\(413\) 0.839043i 0.0412866i
\(414\) 0.517834 + 0.434515i 0.0254502 + 0.0213552i
\(415\) 41.1107 23.7353i 2.01805 1.16512i
\(416\) 4.38867 + 1.59735i 0.215172 + 0.0783164i
\(417\) 7.60198 13.1670i 0.372271 0.644792i
\(418\) −8.99661 15.5826i −0.440038 0.762169i
\(419\) −2.36856 13.4328i −0.115712 0.656235i −0.986395 0.164391i \(-0.947434\pi\)
0.870683 0.491844i \(-0.163677\pi\)
\(420\) −0.322657 0.886494i −0.0157441 0.0432565i
\(421\) −24.2468 13.9989i −1.18172 0.682264i −0.225306 0.974288i \(-0.572338\pi\)
−0.956411 + 0.292024i \(0.905671\pi\)
\(422\) 2.89812 + 3.45385i 0.141078 + 0.168131i
\(423\) 4.10475 3.44429i 0.199580 0.167467i
\(424\) 3.86472 10.6182i 0.187687 0.515667i
\(425\) −30.0005 5.28989i −1.45524 0.256597i
\(426\) −21.3707 3.76823i −1.03541 0.182571i
\(427\) 0.720170 1.97865i 0.0348515 0.0957536i
\(428\) 14.2607 11.9661i 0.689316 0.578405i
\(429\) 19.9773 + 23.8081i 0.964515 + 1.14946i
\(430\) −1.06664 0.615823i −0.0514378 0.0296976i
\(431\) −0.974582 2.67764i −0.0469440 0.128977i 0.914005 0.405703i \(-0.132973\pi\)
−0.960949 + 0.276725i \(0.910751\pi\)
\(432\) 0.971782 + 5.51125i 0.0467549 + 0.265160i
\(433\) 15.5676 + 26.9638i 0.748130 + 1.29580i 0.948718 + 0.316123i \(0.102381\pi\)
−0.200588 + 0.979676i \(0.564285\pi\)
\(434\) 0.510755 0.884654i 0.0245170 0.0424647i
\(435\) −6.44693 2.34649i −0.309106 0.112506i
\(436\) 0.00608240 0.00351168i 0.000291294 0.000168179i
\(437\) −3.28659 2.75777i −0.157219 0.131922i
\(438\) 11.1473i 0.532638i
\(439\) −18.4994 + 22.0467i −0.882929 + 1.05223i 0.115335 + 0.993327i \(0.463206\pi\)
−0.998263 + 0.0589066i \(0.981239\pi\)
\(440\) 12.5685 4.57455i 0.599179 0.218083i
\(441\) 0.788854 4.47381i 0.0375645 0.213039i
\(442\) 31.2584 5.51170i 1.48681 0.262165i
\(443\) −19.3903 −0.921259 −0.460630 0.887592i \(-0.652376\pi\)
−0.460630 + 0.887592i \(0.652376\pi\)
\(444\) −1.93056 + 9.11718i −0.0916203 + 0.432682i
\(445\) −9.89793 −0.469207
\(446\) −13.4346 + 2.36888i −0.636147 + 0.112170i
\(447\) −3.41877 + 19.3888i −0.161702 + 0.917060i
\(448\) 0.187903 0.0683910i 0.00887757 0.00323117i
\(449\) 10.9788 13.0840i 0.518120 0.617472i −0.442015 0.897008i \(-0.645736\pi\)
0.960135 + 0.279536i \(0.0901806\pi\)
\(450\) 2.92567i 0.137917i
\(451\) −15.8101 13.2662i −0.744466 0.624681i
\(452\) 2.21929 1.28131i 0.104387 0.0602677i
\(453\) 7.46672 + 2.71766i 0.350817 + 0.127687i
\(454\) 13.6191 23.5890i 0.639175 1.10708i
\(455\) 1.43788 + 2.49049i 0.0674090 + 0.116756i
\(456\) −1.10211 6.25037i −0.0516110 0.292700i
\(457\) −0.826507 2.27081i −0.0386623 0.106224i 0.918859 0.394585i \(-0.129112\pi\)
−0.957522 + 0.288361i \(0.906890\pi\)
\(458\) −1.76493 1.01898i −0.0824697 0.0476139i
\(459\) 24.4475 + 29.1354i 1.14111 + 1.35992i
\(460\) 2.44306 2.04997i 0.113908 0.0955802i
\(461\) −6.40945 + 17.6098i −0.298518 + 0.820171i 0.696230 + 0.717819i \(0.254859\pi\)
−0.994748 + 0.102353i \(0.967363\pi\)
\(462\) 1.31045 + 0.231068i 0.0609678 + 0.0107503i
\(463\) 5.08108 + 0.895932i 0.236138 + 0.0416375i 0.290465 0.956886i \(-0.406190\pi\)
−0.0543267 + 0.998523i \(0.517301\pi\)
\(464\) 0.497366 1.36650i 0.0230896 0.0634382i
\(465\) 18.4626 15.4919i 0.856181 0.718421i
\(466\) −2.49720 2.97604i −0.115680 0.137863i
\(467\) −26.7874 15.4657i −1.23957 0.715668i −0.270566 0.962701i \(-0.587211\pi\)
−0.969007 + 0.247034i \(0.920544\pi\)
\(468\) −1.04259 2.86450i −0.0481939 0.132412i
\(469\) 0.302471 + 1.71540i 0.0139668 + 0.0792097i
\(470\) −12.6399 21.8930i −0.583037 1.00985i
\(471\) 9.16461 15.8736i 0.422283 0.731416i
\(472\) 3.94296 + 1.43512i 0.181490 + 0.0660568i
\(473\) 1.50451 0.868631i 0.0691776 0.0399397i
\(474\) 7.38867 + 6.19983i 0.339373 + 0.284768i
\(475\) 18.5686i 0.851985i
\(476\) 0.873540 1.04104i 0.0400386 0.0477162i
\(477\) −6.93056 + 2.52252i −0.317328 + 0.115498i
\(478\) 3.22473 18.2884i 0.147496 0.836491i
\(479\) 12.6827 2.23629i 0.579485 0.102179i 0.123780 0.992310i \(-0.460498\pi\)
0.455705 + 0.890131i \(0.349387\pi\)
\(480\) 4.71783 0.215339
\(481\) 0.969525 28.3920i 0.0442065 1.29456i
\(482\) −25.3378 −1.15410
\(483\) 0.312467 0.0550963i 0.0142177 0.00250697i
\(484\) −1.36590 + 7.74638i −0.0620862 + 0.352108i
\(485\) −6.92815 + 2.52164i −0.314591 + 0.114502i
\(486\) 4.27628 5.09627i 0.193976 0.231171i
\(487\) 17.2601i 0.782130i 0.920363 + 0.391065i \(0.127893\pi\)
−0.920363 + 0.391065i \(0.872107\pi\)
\(488\) 8.06659 + 6.76867i 0.365157 + 0.306403i
\(489\) 0.937942 0.541521i 0.0424152 0.0244884i
\(490\) −20.1398 7.33028i −0.909822 0.331148i
\(491\) −8.55331 + 14.8148i −0.386005 + 0.668581i −0.991908 0.126958i \(-0.959479\pi\)
0.605903 + 0.795539i \(0.292812\pi\)
\(492\) −3.63995 6.30457i −0.164101 0.284232i
\(493\) −1.71618 9.73293i −0.0772928 0.438349i
\(494\) 6.61713 + 18.1804i 0.297719 + 0.817975i
\(495\) −7.56038 4.36499i −0.339814 0.196192i
\(496\) 3.28370 + 3.91336i 0.147442 + 0.175715i
\(497\) 2.16962 1.82053i 0.0973208 0.0816619i
\(498\) −8.07795 + 22.1940i −0.361982 + 0.994537i
\(499\) −18.2596 3.21965i −0.817410 0.144131i −0.250717 0.968060i \(-0.580666\pi\)
−0.566693 + 0.823929i \(0.691777\pi\)
\(500\) −1.56972 0.276784i −0.0702000 0.0123782i
\(501\) 3.46360 9.51615i 0.154742 0.425150i
\(502\) −9.73819 + 8.17131i −0.434637 + 0.364703i
\(503\) 2.15713 + 2.57077i 0.0961818 + 0.114625i 0.811988 0.583674i \(-0.198385\pi\)
−0.715807 + 0.698299i \(0.753941\pi\)
\(504\) −0.113030 0.0652579i −0.00503476 0.00290682i
\(505\) 11.5462 + 31.7230i 0.513800 + 1.41165i
\(506\) 0.781141 + 4.43007i 0.0347260 + 0.196941i
\(507\) −6.75037 11.6920i −0.299794 0.519259i
\(508\) −2.90351 + 5.02902i −0.128822 + 0.223127i
\(509\) 10.3552 + 3.76897i 0.458984 + 0.167057i 0.561156 0.827710i \(-0.310357\pi\)
−0.102171 + 0.994767i \(0.532579\pi\)
\(510\) 27.7678 16.0317i 1.22958 0.709897i
\(511\) 1.11452 + 0.935191i 0.0493033 + 0.0413704i
\(512\) 1.00000i 0.0441942i
\(513\) −14.9017 + 17.7592i −0.657926 + 0.784086i
\(514\) −4.08494 + 1.48680i −0.180179 + 0.0655798i
\(515\) 8.41419 47.7192i 0.370774 2.10276i
\(516\) 0.603479 0.106410i 0.0265667 0.00468442i
\(517\) 35.6578 1.56823
\(518\) −0.749582 0.957896i −0.0329347 0.0420875i
\(519\) −23.5967 −1.03578
\(520\) −14.1631 + 2.49733i −0.621092 + 0.109515i
\(521\) −1.36004 + 7.71318i −0.0595845 + 0.337921i −0.999998 0.00211306i \(-0.999327\pi\)
0.940413 + 0.340034i \(0.110439\pi\)
\(522\) −0.891920 + 0.324633i −0.0390383 + 0.0142088i
\(523\) 1.16527 1.38872i 0.0509538 0.0607244i −0.739966 0.672645i \(-0.765158\pi\)
0.790919 + 0.611920i \(0.209603\pi\)
\(524\) 8.36959i 0.365627i
\(525\) 1.05195 + 0.882688i 0.0459107 + 0.0385237i
\(526\) −5.63903 + 3.25569i −0.245873 + 0.141955i
\(527\) 32.6249 + 11.8745i 1.42116 + 0.517261i
\(528\) −3.32730 + 5.76306i −0.144802 + 0.250805i
\(529\) −10.9637 18.9897i −0.476682 0.825638i
\(530\) 6.04220 + 34.2670i 0.262456 + 1.48846i
\(531\) −0.936708 2.57359i −0.0406497 0.111684i
\(532\) 0.717378 + 0.414178i 0.0311023 + 0.0179569i
\(533\) 14.2645 + 16.9997i 0.617863 + 0.736341i
\(534\) 3.77245 3.16546i 0.163250 0.136983i
\(535\) −19.6063 + 53.8680i −0.847656 + 2.32892i
\(536\) −8.57863 1.51264i −0.370540 0.0653362i
\(537\) −3.85408 0.679579i −0.166316 0.0293260i
\(538\) −3.38673 + 9.30496i −0.146012 + 0.401165i
\(539\) 23.1581 19.4319i 0.997489 0.836993i
\(540\) −11.0771 13.2011i −0.476681 0.568086i
\(541\) −6.02197 3.47679i −0.258905 0.149479i 0.364930 0.931035i \(-0.381093\pi\)
−0.623835 + 0.781556i \(0.714426\pi\)
\(542\) −3.08676 8.48080i −0.132588 0.364282i
\(543\) −2.23157 12.6559i −0.0957659 0.543116i
\(544\) 3.39811 + 5.88571i 0.145693 + 0.252348i
\(545\) −0.0108137 + 0.0187298i −0.000463207 + 0.000802298i
\(546\) −1.34451 0.489362i −0.0575398 0.0209428i
\(547\) 4.21435 2.43316i 0.180193 0.104034i −0.407191 0.913343i \(-0.633492\pi\)
0.587383 + 0.809309i \(0.300158\pi\)
\(548\) 1.20881 + 1.01431i 0.0516378 + 0.0433293i
\(549\) 6.87309i 0.293336i
\(550\) −12.5145 + 14.9142i −0.533621 + 0.635945i
\(551\) 5.66083 2.06037i 0.241160 0.0877749i
\(552\) −0.275534 + 1.56263i −0.0117275 + 0.0665100i
\(553\) −1.23973 + 0.218598i −0.0527187 + 0.00929573i
\(554\) 0.208088 0.00884079
\(555\) −8.88907 27.2861i −0.377320 1.15823i
\(556\) −9.92368 −0.420858
\(557\) −7.17172 + 1.26457i −0.303876 + 0.0535815i −0.323507 0.946226i \(-0.604862\pi\)
0.0196313 + 0.999807i \(0.493751\pi\)
\(558\) 0.579004 3.28370i 0.0245112 0.139010i
\(559\) −1.75534 + 0.638890i −0.0742428 + 0.0270222i
\(560\) −0.395798 + 0.471694i −0.0167255 + 0.0199327i
\(561\) 45.2262i 1.90945i
\(562\) 20.7286 + 17.3934i 0.874384 + 0.733695i
\(563\) 23.9124 13.8058i 1.00779 0.581845i 0.0972430 0.995261i \(-0.468998\pi\)
0.910543 + 0.413415i \(0.135664\pi\)
\(564\) 11.8191 + 4.30182i 0.497676 + 0.181139i
\(565\) −3.94560 + 6.83397i −0.165992 + 0.287507i
\(566\) −0.406447 0.703987i −0.0170842 0.0295908i
\(567\) −0.229723 1.30282i −0.00964746 0.0547134i
\(568\) 4.84434 + 13.3097i 0.203264 + 0.558463i
\(569\) −4.89110 2.82388i −0.205046 0.118383i 0.393961 0.919127i \(-0.371104\pi\)
−0.599007 + 0.800744i \(0.704438\pi\)
\(570\) 12.5626 + 14.9715i 0.526190 + 0.627089i
\(571\) 10.3379 8.67450i 0.432626 0.363016i −0.400315 0.916377i \(-0.631099\pi\)
0.832942 + 0.553361i \(0.186655\pi\)
\(572\) 6.93805 19.0621i 0.290095 0.797029i
\(573\) 9.77986 + 1.72445i 0.408560 + 0.0720401i
\(574\) 0.935706 + 0.164990i 0.0390556 + 0.00688656i
\(575\) −1.58775 + 4.36230i −0.0662136 + 0.181920i
\(576\) 0.500000 0.419550i 0.0208333 0.0174812i
\(577\) 27.0708 + 32.2617i 1.12697 + 1.34307i 0.932083 + 0.362246i \(0.117990\pi\)
0.194888 + 0.980825i \(0.437566\pi\)
\(578\) 25.2782 + 14.5944i 1.05143 + 0.607045i
\(579\) −10.9951 30.2087i −0.456940 1.25543i
\(580\) 0.777594 + 4.40996i 0.0322879 + 0.183114i
\(581\) −1.54128 2.66958i −0.0639433 0.110753i
\(582\) 1.83412 3.17678i 0.0760266 0.131682i
\(583\) −46.1201 16.7864i −1.91010 0.695220i
\(584\) −6.30110 + 3.63794i −0.260741 + 0.150539i
\(585\) 7.19078 + 6.03378i 0.297302 + 0.249466i
\(586\) 8.79957i 0.363507i
\(587\) −26.6651 + 31.7782i −1.10059 + 1.31163i −0.154398 + 0.988009i \(0.549344\pi\)
−0.946188 + 0.323618i \(0.895101\pi\)
\(588\) 10.0203 3.64708i 0.413229 0.150403i
\(589\) −3.67482 + 20.8409i −0.151418 + 0.858735i
\(590\) −12.7247 + 2.24370i −0.523867 + 0.0923718i
\(591\) 2.54035 0.104496
\(592\) 5.78360 1.88414i 0.237704 0.0774378i
\(593\) −29.6746 −1.21859 −0.609295 0.792944i \(-0.708548\pi\)
−0.609295 + 0.792944i \(0.708548\pi\)
\(594\) 23.9380 4.22092i 0.982189 0.173186i
\(595\) −0.726682 + 4.12122i −0.0297910 + 0.168953i
\(596\) 12.0754 4.39509i 0.494628 0.180030i
\(597\) −7.11013 + 8.47352i −0.290998 + 0.346798i
\(598\) 4.83691i 0.197796i
\(599\) −3.43909 2.88574i −0.140517 0.117908i 0.569820 0.821770i \(-0.307013\pi\)
−0.710337 + 0.703862i \(0.751457\pi\)
\(600\) −5.94735 + 3.43370i −0.242799 + 0.140180i
\(601\) 13.3480 + 4.85827i 0.544476 + 0.198173i 0.599590 0.800307i \(-0.295330\pi\)
−0.0551145 + 0.998480i \(0.517552\pi\)
\(602\) −0.0399893 + 0.0692636i −0.00162984 + 0.00282297i
\(603\) 2.84284 + 4.92394i 0.115769 + 0.200518i
\(604\) −0.900597 5.10754i −0.0366448 0.207823i
\(605\) −8.28433 22.7610i −0.336806 0.925367i
\(606\) −14.5460 8.39814i −0.590891 0.341151i
\(607\) −16.2460 19.3612i −0.659405 0.785848i 0.327895 0.944714i \(-0.393661\pi\)
−0.987300 + 0.158866i \(0.949216\pi\)
\(608\) −3.17339 + 2.66279i −0.128698 + 0.107991i
\(609\) −0.152373 + 0.418641i −0.00617445 + 0.0169642i
\(610\) −31.9335 5.63073i −1.29295 0.227982i
\(611\) −37.7585 6.65785i −1.52755 0.269348i
\(612\) 1.51718 4.16840i 0.0613282 0.168498i
\(613\) 1.12722 0.945851i 0.0455280 0.0382025i −0.619740 0.784807i \(-0.712762\pi\)
0.665268 + 0.746605i \(0.268317\pi\)
\(614\) 15.7188 + 18.7330i 0.634360 + 0.756001i
\(615\) 19.4140 + 11.2087i 0.782846 + 0.451977i
\(616\) −0.297055 0.816153i −0.0119687 0.0328837i
\(617\) −2.72180 15.4361i −0.109575 0.621433i −0.989294 0.145938i \(-0.953380\pi\)
0.879718 0.475495i \(-0.157731\pi\)
\(618\) 12.0542 + 20.8784i 0.484890 + 0.839854i
\(619\) −20.1519 + 34.9042i −0.809974 + 1.40292i 0.102907 + 0.994691i \(0.467186\pi\)
−0.912881 + 0.408226i \(0.866148\pi\)
\(620\) −14.7822 5.38029i −0.593669 0.216078i
\(621\) 5.01938 2.89794i 0.201421 0.116290i
\(622\) −0.00972517 0.00816038i −0.000389944 0.000327202i
\(623\) 0.642736i 0.0257507i
\(624\) 4.59938 5.48132i 0.184122 0.219429i
\(625\) 25.6726 9.34405i 1.02690 0.373762i
\(626\) −3.03336 + 17.2031i −0.121238 + 0.687572i
\(627\) −27.1484 + 4.78699i −1.08420 + 0.191174i
\(628\) −11.9635 −0.477398
\(629\) 27.6380 30.7428i 1.10200 1.22580i
\(630\) 0.401904 0.0160122
\(631\) 29.0845 5.12838i 1.15783 0.204158i 0.438441 0.898760i \(-0.355531\pi\)
0.719394 + 0.694602i \(0.244420\pi\)
\(632\) 1.09320 6.19983i 0.0434851 0.246616i
\(633\) 6.49111 2.36257i 0.257999 0.0939038i
\(634\) −1.75410 + 2.09046i −0.0696644 + 0.0830228i
\(635\) 17.8818i 0.709618i
\(636\) −13.2619 11.1280i −0.525867 0.441254i
\(637\) −28.1506 + 16.2528i −1.11537 + 0.643959i
\(638\) −5.93538 2.16030i −0.234984 0.0855272i
\(639\) 4.62241 8.00626i 0.182860 0.316723i
\(640\) −1.53967 2.66679i −0.0608609 0.105414i
\(641\) −4.14227 23.4920i −0.163610 0.927877i −0.950486 0.310767i \(-0.899414\pi\)
0.786876 0.617111i \(-0.211697\pi\)
\(642\) −9.75488 26.8013i −0.384994 1.05776i
\(643\) 17.4120 + 10.0528i 0.686663 + 0.396445i 0.802361 0.596839i \(-0.203577\pi\)
−0.115698 + 0.993284i \(0.536910\pi\)
\(644\) −0.133118 0.158643i −0.00524557 0.00625143i
\(645\) −1.44552 + 1.21293i −0.0569172 + 0.0477592i
\(646\) −9.62919 + 26.4560i −0.378855 + 1.04090i
\(647\) 15.3079 + 2.69919i 0.601815 + 0.106116i 0.466251 0.884652i \(-0.345604\pi\)
0.135564 + 0.990769i \(0.456715\pi\)
\(648\) 6.51536 + 1.14883i 0.255947 + 0.0451304i
\(649\) 6.23343 17.1262i 0.244683 0.672262i
\(650\) 16.0365 13.4562i 0.629004 0.527797i
\(651\) −1.00599 1.19889i −0.0394279 0.0469883i
\(652\) −0.612198 0.353453i −0.0239755 0.0138423i
\(653\) 1.10893 + 3.04676i 0.0433958 + 0.119229i 0.959498 0.281717i \(-0.0909038\pi\)
−0.916102 + 0.400946i \(0.868682\pi\)
\(654\) −0.00186852 0.0105969i −7.30651e−5 0.000414373i
\(655\) −12.8864 22.3199i −0.503514 0.872113i
\(656\) −2.37581 + 4.11502i −0.0927596 + 0.160664i
\(657\) 4.46259 + 1.62425i 0.174102 + 0.0633681i
\(658\) −1.42166 + 0.820793i −0.0554219 + 0.0319978i
\(659\) −10.8426 9.09798i −0.422366 0.354407i 0.406696 0.913563i \(-0.366681\pi\)
−0.829062 + 0.559156i \(0.811125\pi\)
\(660\) 20.4918i 0.797644i
\(661\) 30.2776 36.0835i 1.17766 1.40348i 0.281614 0.959528i \(-0.409130\pi\)
0.896049 0.443956i \(-0.146425\pi\)
\(662\) 22.1918 8.07717i 0.862510 0.313928i
\(663\) 8.44442 47.8907i 0.327954 1.85992i
\(664\) 15.1816 2.67692i 0.589160 0.103885i
\(665\) −2.55080 −0.0989157
\(666\) −3.36858 2.10131i −0.130530 0.0814240i
\(667\) −1.50607 −0.0583153
\(668\) −6.50943 + 1.14779i −0.251857 + 0.0444093i
\(669\) −3.62934 + 20.5830i −0.140318 + 0.795785i
\(670\) 25.2064 9.17438i 0.973808 0.354437i
\(671\) 29.3996 35.0371i 1.13496 1.35259i
\(672\) 0.306359i 0.0118181i
\(673\) −3.74538 3.14274i −0.144374 0.121144i 0.567740 0.823208i \(-0.307818\pi\)
−0.712114 + 0.702064i \(0.752262\pi\)
\(674\) −19.4385 + 11.2228i −0.748742 + 0.432287i
\(675\) 23.5718 + 8.57943i 0.907279 + 0.330223i
\(676\) −4.40599 + 7.63140i −0.169461 + 0.293515i
\(677\) −2.95124 5.11171i −0.113426 0.196459i 0.803724 0.595003i \(-0.202849\pi\)
−0.917149 + 0.398544i \(0.869516\pi\)
\(678\) −0.681770 3.86651i −0.0261832 0.148492i
\(679\) 0.163746 + 0.449890i 0.00628401 + 0.0172652i
\(680\) −18.1241 10.4640i −0.695029 0.401275i
\(681\) −26.8244 31.9680i −1.02791 1.22502i
\(682\) 16.9976 14.2627i 0.650872 0.546147i
\(683\) 7.74555 21.2807i 0.296375 0.814285i −0.698723 0.715392i \(-0.746248\pi\)
0.995098 0.0988921i \(-0.0315299\pi\)
\(684\) 2.66279 + 0.469523i 0.101814 + 0.0179526i
\(685\) −4.78536 0.843787i −0.182839 0.0322395i
\(686\) −0.954739 + 2.62313i −0.0364521 + 0.100151i
\(687\) −2.39185 + 2.00700i −0.0912549 + 0.0765720i
\(688\) −0.257095 0.306394i −0.00980167 0.0116812i
\(689\) 45.7030 + 26.3866i 1.74114 + 1.00525i
\(690\) −1.67115 4.59144i −0.0636195 0.174793i
\(691\) 7.27318 + 41.2483i 0.276685 + 1.56916i 0.733559 + 0.679626i \(0.237858\pi\)
−0.456874 + 0.889531i \(0.651031\pi\)
\(692\) 7.70082 + 13.3382i 0.292741 + 0.507042i
\(693\) −0.283447 + 0.490945i −0.0107673 + 0.0186494i
\(694\) 1.14183 + 0.415593i 0.0433433 + 0.0157757i
\(695\) 26.4644 15.2792i 1.00385 0.579574i
\(696\) −1.70672 1.43211i −0.0646930 0.0542839i
\(697\) 32.2930i 1.22319i
\(698\) −11.4027 + 13.5892i −0.431599 + 0.514360i
\(699\) −5.59313 + 2.03573i −0.211552 + 0.0769985i
\(700\) 0.155642 0.882688i 0.00588271 0.0333625i
\(701\) 8.72989 1.53931i 0.329723 0.0581391i −0.00633605 0.999980i \(-0.502017\pi\)
0.336059 + 0.941841i \(0.390906\pi\)
\(702\) −26.1364 −0.986455
\(703\) 21.3797 + 13.3366i 0.806349 + 0.502998i
\(704\) 4.34349 0.163701
\(705\) −38.1426 + 6.72557i −1.43653 + 0.253300i
\(706\) −0.278889 + 1.58166i −0.0104961 + 0.0595265i
\(707\) 2.05998 0.749770i 0.0774734 0.0281980i
\(708\) 4.13227 4.92464i 0.155300 0.185079i
\(709\) 45.8415i 1.72161i 0.508931 + 0.860807i \(0.330041\pi\)
−0.508931 + 0.860807i \(0.669959\pi\)
\(710\) −33.4115 28.0355i −1.25391 1.05216i
\(711\) −3.55857 + 2.05454i −0.133457 + 0.0770513i
\(712\) −3.02045 1.09935i −0.113196 0.0412000i
\(713\) 2.64537 4.58191i 0.0990698 0.171594i
\(714\) −1.04104 1.80314i −0.0389601 0.0674809i
\(715\) 10.8471 + 61.5171i 0.405660 + 2.30061i
\(716\) 0.873650 + 2.40033i 0.0326498 + 0.0897047i
\(717\) −24.6399 14.2258i −0.920192 0.531273i
\(718\) −20.5772 24.5229i −0.767934 0.915188i
\(719\) −4.97255 + 4.17246i −0.185445 + 0.155607i −0.730784 0.682609i \(-0.760845\pi\)
0.545339 + 0.838215i \(0.316401\pi\)
\(720\) −0.687427 + 1.88869i −0.0256189 + 0.0703873i
\(721\) −3.09872 0.546388i −0.115402 0.0203485i
\(722\) 1.81115 + 0.319355i 0.0674041 + 0.0118852i
\(723\) −13.2771 + 36.4786i −0.493781 + 1.35665i
\(724\) −6.42556 + 5.39168i −0.238804 + 0.200380i
\(725\) −4.18987 4.99329i −0.155608 0.185446i
\(726\) 10.4367 + 6.02561i 0.387341 + 0.223631i
\(727\) 9.11998 + 25.0569i 0.338241 + 0.929310i 0.985893 + 0.167374i \(0.0535287\pi\)
−0.647652 + 0.761936i \(0.724249\pi\)
\(728\) 0.162168 + 0.919700i 0.00601034 + 0.0340864i
\(729\) −15.0201 26.0155i −0.556299 0.963538i
\(730\) 11.2025 19.4033i 0.414622 0.718147i
\(731\) −2.55435 0.929708i −0.0944761 0.0343865i
\(732\) 13.9717 8.06659i 0.516410 0.298150i
\(733\) −37.4593 31.4321i −1.38359 1.16097i −0.967862 0.251482i \(-0.919082\pi\)
−0.415729 0.909489i \(-0.636473\pi\)
\(734\) 16.0363i 0.591910i
\(735\) −21.1067 + 25.1540i −0.778532 + 0.927819i
\(736\) 0.973210 0.354220i 0.0358730 0.0130567i
\(737\) −6.57015 + 37.2611i −0.242014 + 1.37253i
\(738\) 3.05428 0.538551i 0.112429 0.0198244i
\(739\) −53.7875 −1.97861 −0.989303 0.145878i \(-0.953399\pi\)
−0.989303 + 0.145878i \(0.953399\pi\)
\(740\) −12.5227 + 13.9295i −0.460343 + 0.512058i
\(741\) 29.6416 1.08891
\(742\) 2.22518 0.392359i 0.0816889 0.0144040i
\(743\) −3.90547 + 22.1490i −0.143278 + 0.812569i 0.825456 + 0.564467i \(0.190918\pi\)
−0.968734 + 0.248103i \(0.920193\pi\)
\(744\) 7.35470 2.67689i 0.269637 0.0981397i
\(745\) −25.4356 + 30.3130i −0.931889 + 1.11058i
\(746\) 1.11639i 0.0408738i
\(747\) −7.70789 6.46769i −0.282017 0.236640i
\(748\) 25.5645 14.7597i 0.934730 0.539667i
\(749\) 3.49800 + 1.27317i 0.127814 + 0.0465205i
\(750\) −1.22102 + 2.11488i −0.0445855 + 0.0772244i
\(751\) −3.56277 6.17090i −0.130007 0.225179i 0.793672 0.608346i \(-0.208167\pi\)
−0.923679 + 0.383167i \(0.874833\pi\)
\(752\) −1.42556 8.08477i −0.0519849 0.294821i
\(753\) 6.66131 + 18.3018i 0.242752 + 0.666955i
\(754\) 5.88169 + 3.39580i 0.214199 + 0.123668i
\(755\) 10.2656 + 12.2341i 0.373605 + 0.445245i
\(756\) −0.857235 + 0.719305i −0.0311773 + 0.0261609i
\(757\) −1.85286 + 5.09070i −0.0673434 + 0.185024i −0.968799 0.247846i \(-0.920277\pi\)
0.901456 + 0.432871i \(0.142499\pi\)
\(758\) 35.8874 + 6.32791i 1.30349 + 0.229840i
\(759\) 6.78726 + 1.19678i 0.246362 + 0.0434403i
\(760\) 4.36295 11.9871i 0.158261 0.434818i
\(761\) 19.7639 16.5839i 0.716440 0.601165i −0.209958 0.977710i \(-0.567333\pi\)
0.926398 + 0.376546i \(0.122888\pi\)
\(762\) 5.71879 + 6.81539i 0.207170 + 0.246896i
\(763\) 0.00121625 0.000702202i 4.40312e−5 2.54214e-5i
\(764\) −2.21691 6.09092i −0.0802051 0.220362i
\(765\) 2.37199 + 13.4522i 0.0857595 + 0.486366i
\(766\) −3.01543 5.22288i −0.108952 0.188710i
\(767\) −9.79838 + 16.9713i −0.353799 + 0.612798i
\(768\) 1.43969 + 0.524005i 0.0519504 + 0.0189084i
\(769\) −1.66740 + 0.962671i −0.0601278 + 0.0347148i −0.529763 0.848146i \(-0.677719\pi\)
0.469635 + 0.882861i \(0.344386\pi\)
\(770\)