Properties

Label 483.2.bf.a.388.1
Level $483$
Weight $2$
Character 483.388
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 388.1
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.16982 + 1.70637i) q^{2} +(-0.814576 + 0.580057i) q^{3} +(1.32492 - 5.46141i) q^{4} +(-1.29442 - 0.249478i) q^{5} +(0.777695 - 2.64859i) q^{6} +(1.94687 - 1.79157i) q^{7} +(4.15089 + 9.08919i) q^{8} +(0.327068 - 0.945001i) q^{9} +O(q^{10})\) \(q+(-2.16982 + 1.70637i) q^{2} +(-0.814576 + 0.580057i) q^{3} +(1.32492 - 5.46141i) q^{4} +(-1.29442 - 0.249478i) q^{5} +(0.777695 - 2.64859i) q^{6} +(1.94687 - 1.79157i) q^{7} +(4.15089 + 9.08919i) q^{8} +(0.327068 - 0.945001i) q^{9} +(3.23436 - 1.66743i) q^{10} +(-0.534770 + 0.680015i) q^{11} +(2.08868 + 5.21726i) q^{12} +(-2.20144 + 3.42550i) q^{13} +(-1.16729 + 7.20945i) q^{14} +(1.19911 - 0.547616i) q^{15} +(-14.5260 - 7.48868i) q^{16} +(2.08545 - 1.98847i) q^{17} +(0.902839 + 2.60858i) q^{18} +(-0.858637 - 0.818709i) q^{19} +(-3.07751 + 6.73880i) q^{20} +(-0.546661 + 2.58866i) q^{21} -2.38803i q^{22} +(-4.16865 + 2.37115i) q^{23} +(-8.65347 - 4.99608i) q^{24} +(-3.02856 - 1.21245i) q^{25} +(-1.06844 - 11.1892i) q^{26} +(0.281733 + 0.959493i) q^{27} +(-7.20502 - 13.0063i) q^{28} +(-5.72974 - 1.68240i) q^{29} +(-1.66743 + 3.23436i) q^{30} +(-0.387507 + 4.05815i) q^{31} +(24.6741 - 4.75555i) q^{32} +(0.0411632 - 0.864121i) q^{33} +(-1.13199 + 7.87318i) q^{34} +(-2.96701 + 1.83333i) q^{35} +(-4.72769 - 3.03830i) q^{36} +(6.47365 + 2.24055i) q^{37} +(3.26011 + 0.311303i) q^{38} +(-0.193749 - 4.06729i) q^{39} +(-3.10543 - 12.8008i) q^{40} +(-4.75657 - 4.12159i) q^{41} +(-3.23105 - 6.54974i) q^{42} +(-2.05450 - 0.938259i) q^{43} +(3.00531 + 3.82156i) q^{44} +(-0.659120 + 1.14163i) q^{45} +(4.99917 - 12.2582i) q^{46} +(-8.33063 + 4.80969i) q^{47} +(16.1764 - 2.32581i) q^{48} +(0.580583 - 6.97588i) q^{49} +(8.64034 - 2.53703i) q^{50} +(-0.545330 + 2.82944i) q^{51} +(15.7913 + 16.5615i) q^{52} +(7.58837 - 0.361479i) q^{53} +(-2.24856 - 1.60119i) q^{54} +(0.861865 - 0.746810i) q^{55} +(24.3651 + 10.2588i) q^{56} +(1.17432 + 0.168842i) q^{57} +(15.3033 - 6.12652i) q^{58} +(-2.48037 - 4.81125i) q^{59} +(-1.40202 - 7.27439i) q^{60} +(-7.57549 + 10.6383i) q^{61} +(-6.08388 - 9.46670i) q^{62} +(-1.05627 - 2.42575i) q^{63} +(-24.0193 + 27.7198i) q^{64} +(3.70417 - 3.88482i) q^{65} +(1.38519 + 1.94523i) q^{66} +(3.71072 - 9.26892i) q^{67} +(-8.09680 - 14.0241i) q^{68} +(2.02028 - 4.34954i) q^{69} +(3.30956 - 9.04082i) q^{70} +(-1.89047 - 13.1485i) q^{71} +(9.94692 - 0.949815i) q^{72} +(-11.7662 - 2.85446i) q^{73} +(-17.8699 + 6.18482i) q^{74} +(3.17029 - 0.769104i) q^{75} +(-5.60893 + 3.60464i) q^{76} +(0.177166 + 2.28198i) q^{77} +(7.36069 + 8.49469i) q^{78} +(-15.4762 - 0.737222i) q^{79} +(16.9344 + 13.3174i) q^{80} +(-0.786053 - 0.618159i) q^{81} +(17.3539 + 0.826666i) q^{82} +(-2.53602 - 2.92673i) q^{83} +(13.4134 + 6.41531i) q^{84} +(-3.19552 + 2.05364i) q^{85} +(6.05891 - 1.46988i) q^{86} +(5.64320 - 1.95313i) q^{87} +(-8.40056 - 2.03795i) q^{88} +(-7.89134 + 0.753532i) q^{89} +(-0.517865 - 3.60183i) q^{90} +(1.85111 + 10.6130i) q^{91} +(7.42669 + 25.9083i) q^{92} +(-2.03831 - 3.53045i) q^{93} +(9.86889 - 24.6513i) q^{94} +(0.907184 + 1.27396i) q^{95} +(-17.3405 + 18.1861i) q^{96} +(-6.37518 + 7.35735i) q^{97} +(10.6437 + 16.1271i) q^{98} +(0.467709 + 0.727769i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.16982 + 1.70637i −1.53430 + 1.20658i −0.632392 + 0.774649i \(0.717927\pi\)
−0.901905 + 0.431935i \(0.857831\pi\)
\(3\) −0.814576 + 0.580057i −0.470296 + 0.334896i
\(4\) 1.32492 5.46141i 0.662461 2.73070i
\(5\) −1.29442 0.249478i −0.578881 0.111570i −0.108598 0.994086i \(-0.534636\pi\)
−0.470283 + 0.882516i \(0.655848\pi\)
\(6\) 0.777695 2.64859i 0.317493 1.08128i
\(7\) 1.94687 1.79157i 0.735847 0.677148i
\(8\) 4.15089 + 9.08919i 1.46756 + 3.21351i
\(9\) 0.327068 0.945001i 0.109023 0.315000i
\(10\) 3.23436 1.66743i 1.02279 0.527287i
\(11\) −0.534770 + 0.680015i −0.161239 + 0.205032i −0.859959 0.510363i \(-0.829511\pi\)
0.698720 + 0.715395i \(0.253753\pi\)
\(12\) 2.08868 + 5.21726i 0.602949 + 1.50609i
\(13\) −2.20144 + 3.42550i −0.610569 + 0.950064i 0.389015 + 0.921231i \(0.372815\pi\)
−0.999584 + 0.0288324i \(0.990821\pi\)
\(14\) −1.16729 + 7.20945i −0.311971 + 1.92681i
\(15\) 1.19911 0.547616i 0.309610 0.141394i
\(16\) −14.5260 7.48868i −3.63150 1.87217i
\(17\) 2.08545 1.98847i 0.505796 0.482276i −0.393679 0.919248i \(-0.628798\pi\)
0.899475 + 0.436972i \(0.143949\pi\)
\(18\) 0.902839 + 2.60858i 0.212801 + 0.614849i
\(19\) −0.858637 0.818709i −0.196985 0.187825i 0.585166 0.810913i \(-0.301029\pi\)
−0.782151 + 0.623089i \(0.785878\pi\)
\(20\) −3.07751 + 6.73880i −0.688151 + 1.50684i
\(21\) −0.546661 + 2.58866i −0.119291 + 0.564892i
\(22\) 2.38803i 0.509129i
\(23\) −4.16865 + 2.37115i −0.869223 + 0.494419i
\(24\) −8.65347 4.99608i −1.76638 1.01982i
\(25\) −3.02856 1.21245i −0.605713 0.242491i
\(26\) −1.06844 11.1892i −0.209538 2.19438i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) −7.20502 13.0063i −1.36162 2.45796i
\(29\) −5.72974 1.68240i −1.06399 0.312414i −0.297531 0.954712i \(-0.596163\pi\)
−0.766455 + 0.642298i \(0.777981\pi\)
\(30\) −1.66743 + 3.23436i −0.304429 + 0.590510i
\(31\) −0.387507 + 4.05815i −0.0695982 + 0.728866i 0.891566 + 0.452890i \(0.149607\pi\)
−0.961165 + 0.275976i \(0.910999\pi\)
\(32\) 24.6741 4.75555i 4.36181 0.840670i
\(33\) 0.0411632 0.864121i 0.00716559 0.150424i
\(34\) −1.13199 + 7.87318i −0.194135 + 1.35024i
\(35\) −2.96701 + 1.83333i −0.501517 + 0.309890i
\(36\) −4.72769 3.03830i −0.787949 0.506384i
\(37\) 6.47365 + 2.24055i 1.06426 + 0.368344i 0.802416 0.596765i \(-0.203548\pi\)
0.261846 + 0.965110i \(0.415669\pi\)
\(38\) 3.26011 + 0.311303i 0.528859 + 0.0504999i
\(39\) −0.193749 4.06729i −0.0310247 0.651288i
\(40\) −3.10543 12.8008i −0.491012 2.02398i
\(41\) −4.75657 4.12159i −0.742851 0.643684i 0.198890 0.980022i \(-0.436266\pi\)
−0.941742 + 0.336337i \(0.890812\pi\)
\(42\) −3.23105 6.54974i −0.498562 1.01065i
\(43\) −2.05450 0.938259i −0.313308 0.143083i 0.252554 0.967583i \(-0.418729\pi\)
−0.565862 + 0.824500i \(0.691457\pi\)
\(44\) 3.00531 + 3.82156i 0.453068 + 0.576123i
\(45\) −0.659120 + 1.14163i −0.0982557 + 0.170184i
\(46\) 4.99917 12.2582i 0.737088 1.80738i
\(47\) −8.33063 + 4.80969i −1.21515 + 0.701565i −0.963876 0.266351i \(-0.914182\pi\)
−0.251271 + 0.967917i \(0.580849\pi\)
\(48\) 16.1764 2.32581i 2.33486 0.335702i
\(49\) 0.580583 6.97588i 0.0829405 0.996555i
\(50\) 8.64034 2.53703i 1.22193 0.358791i
\(51\) −0.545330 + 2.82944i −0.0763615 + 0.396201i
\(52\) 15.7913 + 16.5615i 2.18986 + 2.29666i
\(53\) 7.58837 0.361479i 1.04234 0.0496529i 0.480580 0.876951i \(-0.340426\pi\)
0.561763 + 0.827298i \(0.310123\pi\)
\(54\) −2.24856 1.60119i −0.305990 0.217894i
\(55\) 0.861865 0.746810i 0.116214 0.100700i
\(56\) 24.3651 + 10.2588i 3.25593 + 1.37090i
\(57\) 1.17432 + 0.168842i 0.155543 + 0.0223637i
\(58\) 15.3033 6.12652i 2.00942 0.804452i
\(59\) −2.48037 4.81125i −0.322917 0.626371i 0.670373 0.742024i \(-0.266134\pi\)
−0.993290 + 0.115653i \(0.963104\pi\)
\(60\) −1.40202 7.27439i −0.181001 0.939120i
\(61\) −7.57549 + 10.6383i −0.969942 + 1.36209i −0.0380815 + 0.999275i \(0.512125\pi\)
−0.931860 + 0.362818i \(0.881815\pi\)
\(62\) −6.08388 9.46670i −0.772653 1.20227i
\(63\) −1.05627 2.42575i −0.133078 0.305616i
\(64\) −24.0193 + 27.7198i −3.00241 + 3.46497i
\(65\) 3.70417 3.88482i 0.459445 0.481852i
\(66\) 1.38519 + 1.94523i 0.170505 + 0.239441i
\(67\) 3.71072 9.26892i 0.453336 1.13238i −0.509061 0.860731i \(-0.670007\pi\)
0.962397 0.271648i \(-0.0875686\pi\)
\(68\) −8.09680 14.0241i −0.981881 1.70067i
\(69\) 2.02028 4.34954i 0.243213 0.523623i
\(70\) 3.30956 9.04082i 0.395568 1.08058i
\(71\) −1.89047 13.1485i −0.224358 1.56044i −0.721278 0.692645i \(-0.756445\pi\)
0.496921 0.867796i \(-0.334464\pi\)
\(72\) 9.94692 0.949815i 1.17226 0.111937i
\(73\) −11.7662 2.85446i −1.37713 0.334089i −0.522199 0.852824i \(-0.674888\pi\)
−0.854935 + 0.518735i \(0.826403\pi\)
\(74\) −17.8699 + 6.18482i −2.07733 + 0.718971i
\(75\) 3.17029 0.769104i 0.366073 0.0888084i
\(76\) −5.60893 + 3.60464i −0.643388 + 0.413481i
\(77\) 0.177166 + 2.28198i 0.0201900 + 0.260055i
\(78\) 7.36069 + 8.49469i 0.833435 + 0.961835i
\(79\) −15.4762 0.737222i −1.74121 0.0829439i −0.847277 0.531151i \(-0.821760\pi\)
−0.893930 + 0.448207i \(0.852063\pi\)
\(80\) 16.9344 + 13.3174i 1.89333 + 1.48893i
\(81\) −0.786053 0.618159i −0.0873392 0.0686843i
\(82\) 17.3539 + 0.826666i 1.91641 + 0.0912900i
\(83\) −2.53602 2.92673i −0.278365 0.321250i 0.599301 0.800524i \(-0.295445\pi\)
−0.877665 + 0.479274i \(0.840900\pi\)
\(84\) 13.4134 + 6.41531i 1.46353 + 0.699968i
\(85\) −3.19552 + 2.05364i −0.346603 + 0.222748i
\(86\) 6.05891 1.46988i 0.653349 0.158501i
\(87\) 5.64320 1.95313i 0.605014 0.209397i
\(88\) −8.40056 2.03795i −0.895503 0.217247i
\(89\) −7.89134 + 0.753532i −0.836480 + 0.0798742i −0.504500 0.863412i \(-0.668323\pi\)
−0.331981 + 0.943286i \(0.607717\pi\)
\(90\) −0.517865 3.60183i −0.0545878 0.379666i
\(91\) 1.85111 + 10.6130i 0.194049 + 1.11255i
\(92\) 7.42669 + 25.9083i 0.774286 + 2.70113i
\(93\) −2.03831 3.53045i −0.211362 0.366091i
\(94\) 9.86889 24.6513i 1.01790 2.54259i
\(95\) 0.907184 + 1.27396i 0.0930751 + 0.130706i
\(96\) −17.3405 + 18.1861i −1.76980 + 1.85612i
\(97\) −6.37518 + 7.35735i −0.647302 + 0.747026i −0.980648 0.195778i \(-0.937277\pi\)
0.333346 + 0.942804i \(0.391822\pi\)
\(98\) 10.6437 + 16.1271i 1.07517 + 1.62908i
\(99\) 0.467709 + 0.727769i 0.0470065 + 0.0731436i
\(100\) −10.6343 + 14.9338i −1.06343 + 1.49338i
\(101\) 1.48845 + 7.72279i 0.148106 + 0.768446i 0.977688 + 0.210062i \(0.0673665\pi\)
−0.829582 + 0.558385i \(0.811421\pi\)
\(102\) −3.64480 7.06992i −0.360889 0.700027i
\(103\) 8.93555 3.57725i 0.880446 0.352477i 0.113003 0.993595i \(-0.463953\pi\)
0.767443 + 0.641117i \(0.221529\pi\)
\(104\) −40.2730 5.79038i −3.94909 0.567793i
\(105\) 1.35342 3.21443i 0.132080 0.313696i
\(106\) −15.8486 + 13.7329i −1.53935 + 1.33386i
\(107\) 6.01053 + 4.28008i 0.581060 + 0.413771i 0.832438 0.554118i \(-0.186944\pi\)
−0.251378 + 0.967889i \(0.580884\pi\)
\(108\) 5.61346 0.267402i 0.540155 0.0257308i
\(109\) −1.79823 1.88593i −0.172240 0.180640i 0.631956 0.775004i \(-0.282252\pi\)
−0.804196 + 0.594364i \(0.797404\pi\)
\(110\) −0.595761 + 3.09110i −0.0568036 + 0.294725i
\(111\) −6.57293 + 1.92999i −0.623875 + 0.183186i
\(112\) −41.6967 + 11.4448i −3.93996 + 1.08144i
\(113\) −14.2694 + 2.05163i −1.34235 + 0.193001i −0.775777 0.631007i \(-0.782642\pi\)
−0.566577 + 0.824009i \(0.691733\pi\)
\(114\) −2.83618 + 1.63747i −0.265632 + 0.153363i
\(115\) 5.98752 2.02927i 0.558339 0.189231i
\(116\) −16.7797 + 29.0634i −1.55796 + 2.69847i
\(117\) 2.51708 + 3.20073i 0.232704 + 0.295908i
\(118\) 13.5917 + 6.20713i 1.25122 + 0.571413i
\(119\) 0.497615 7.60752i 0.0456163 0.697380i
\(120\) 9.95478 + 8.62586i 0.908743 + 0.787430i
\(121\) 2.41691 + 9.96262i 0.219719 + 0.905693i
\(122\) −1.71536 36.0097i −0.155301 3.26017i
\(123\) 6.26534 + 0.598268i 0.564927 + 0.0539440i
\(124\) 21.6498 + 7.49307i 1.94421 + 0.672898i
\(125\) 9.16261 + 5.88845i 0.819529 + 0.526679i
\(126\) 6.43116 + 3.46107i 0.572933 + 0.308336i
\(127\) 0.113064 0.786381i 0.0100328 0.0697800i −0.984190 0.177116i \(-0.943323\pi\)
0.994223 + 0.107336i \(0.0342322\pi\)
\(128\) 2.42625 50.9332i 0.214452 4.50191i
\(129\) 2.21779 0.427444i 0.195265 0.0376343i
\(130\) −1.40846 + 14.7500i −0.123530 + 1.29366i
\(131\) −10.1301 + 19.6496i −0.885071 + 1.71680i −0.211928 + 0.977285i \(0.567974\pi\)
−0.673143 + 0.739512i \(0.735056\pi\)
\(132\) −4.66478 1.36970i −0.406017 0.119217i
\(133\) −3.13842 0.0556123i −0.272136 0.00482220i
\(134\) 7.76459 + 26.4438i 0.670758 + 2.28439i
\(135\) −0.125307 1.31227i −0.0107847 0.112942i
\(136\) 26.7301 + 10.7011i 2.29209 + 0.917613i
\(137\) −13.8147 7.97590i −1.18027 0.681427i −0.224190 0.974545i \(-0.571974\pi\)
−0.956076 + 0.293119i \(0.905307\pi\)
\(138\) 3.03826 + 12.8851i 0.258634 + 1.09685i
\(139\) 9.41634i 0.798684i −0.916802 0.399342i \(-0.869239\pi\)
0.916802 0.399342i \(-0.130761\pi\)
\(140\) 6.08151 + 18.6331i 0.513981 + 1.57478i
\(141\) 3.99604 8.75010i 0.336527 0.736891i
\(142\) 26.5382 + 25.3041i 2.22703 + 2.12347i
\(143\) −1.15213 3.32887i −0.0963462 0.278374i
\(144\) −11.8278 + 11.2778i −0.985650 + 0.939815i
\(145\) 6.99695 + 3.60718i 0.581065 + 0.299560i
\(146\) 30.4014 13.8839i 2.51604 1.14904i
\(147\) 3.57348 + 6.01916i 0.294736 + 0.496452i
\(148\) 20.8137 32.3867i 1.71087 2.66217i
\(149\) −1.05152 2.62656i −0.0861437 0.215176i 0.879041 0.476746i \(-0.158184\pi\)
−0.965185 + 0.261570i \(0.915760\pi\)
\(150\) −5.56659 + 7.07849i −0.454510 + 0.577957i
\(151\) 5.65688 2.91632i 0.460350 0.237327i −0.212420 0.977178i \(-0.568135\pi\)
0.672770 + 0.739851i \(0.265104\pi\)
\(152\) 3.87729 11.2027i 0.314490 0.908658i
\(153\) −1.19703 2.62112i −0.0967737 0.211905i
\(154\) −4.27831 4.64917i −0.344756 0.374641i
\(155\) 1.51402 5.15627i 0.121609 0.414161i
\(156\) −22.4698 4.33071i −1.79903 0.346734i
\(157\) −2.65374 + 10.9389i −0.211792 + 0.873018i 0.762365 + 0.647147i \(0.224038\pi\)
−0.974157 + 0.225871i \(0.927477\pi\)
\(158\) 34.8386 24.8084i 2.77161 1.97365i
\(159\) −5.97163 + 4.69614i −0.473581 + 0.372428i
\(160\) −33.1250 −2.61876
\(161\) −3.86773 + 12.0847i −0.304820 + 0.952410i
\(162\) 2.76040 0.216878
\(163\) 4.45729 3.50525i 0.349122 0.274553i −0.428163 0.903702i \(-0.640839\pi\)
0.777285 + 0.629149i \(0.216596\pi\)
\(164\) −28.8118 + 20.5168i −2.24982 + 1.60209i
\(165\) −0.268862 + 1.10826i −0.0209309 + 0.0862782i
\(166\) 10.4968 + 2.02309i 0.814709 + 0.157022i
\(167\) 3.03345 10.3310i 0.234736 0.799436i −0.754901 0.655839i \(-0.772315\pi\)
0.989636 0.143597i \(-0.0458668\pi\)
\(168\) −25.7980 + 5.77655i −1.99036 + 0.445670i
\(169\) −1.48735 3.25684i −0.114412 0.250526i
\(170\) 3.42946 9.90877i 0.263028 0.759968i
\(171\) −1.05451 + 0.543639i −0.0806406 + 0.0415731i
\(172\) −7.84626 + 9.97734i −0.598272 + 0.760765i
\(173\) 2.76490 + 6.90639i 0.210212 + 0.525083i 0.995577 0.0939494i \(-0.0299492\pi\)
−0.785365 + 0.619032i \(0.787525\pi\)
\(174\) −8.91198 + 13.8673i −0.675615 + 1.05128i
\(175\) −8.06840 + 3.06539i −0.609914 + 0.231721i
\(176\) 12.8605 5.87319i 0.969396 0.442708i
\(177\) 4.81125 + 2.48037i 0.361636 + 0.186436i
\(178\) 15.8370 15.1006i 1.18703 1.13183i
\(179\) −3.04147 8.78776i −0.227330 0.656828i −0.999764 0.0217322i \(-0.993082\pi\)
0.772434 0.635096i \(-0.219039\pi\)
\(180\) 5.36162 + 5.11229i 0.399631 + 0.381048i
\(181\) 2.31811 5.07595i 0.172304 0.377293i −0.803704 0.595030i \(-0.797140\pi\)
0.976007 + 0.217737i \(0.0698676\pi\)
\(182\) −22.1263 19.8697i −1.64011 1.47284i
\(183\) 13.0599i 0.965416i
\(184\) −38.8555 28.0472i −2.86446 2.06767i
\(185\) −7.82063 4.51524i −0.574984 0.331967i
\(186\) 10.4470 + 4.18235i 0.766012 + 0.306665i
\(187\) 0.236956 + 2.48152i 0.0173279 + 0.181466i
\(188\) 15.2302 + 51.8694i 1.11078 + 3.78297i
\(189\) 2.26749 + 1.36326i 0.164936 + 0.0991628i
\(190\) −4.14228 1.21628i −0.300512 0.0882384i
\(191\) 11.7843 22.8584i 0.852685 1.65398i 0.100586 0.994928i \(-0.467928\pi\)
0.752099 0.659050i \(-0.229042\pi\)
\(192\) 3.48651 36.5124i 0.251617 2.63506i
\(193\) −1.67394 + 0.322626i −0.120493 + 0.0232232i −0.249141 0.968467i \(-0.580148\pi\)
0.128648 + 0.991690i \(0.458936\pi\)
\(194\) 1.27867 26.8426i 0.0918031 1.92718i
\(195\) −0.763909 + 5.31311i −0.0547047 + 0.380479i
\(196\) −37.3289 12.4133i −2.66635 0.886665i
\(197\) 1.13913 + 0.732072i 0.0811594 + 0.0521580i 0.580591 0.814195i \(-0.302821\pi\)
−0.499432 + 0.866353i \(0.666458\pi\)
\(198\) −2.25669 0.781047i −0.160376 0.0555066i
\(199\) 2.15168 + 0.205461i 0.152529 + 0.0145647i 0.171041 0.985264i \(-0.445287\pi\)
−0.0185122 + 0.999829i \(0.505893\pi\)
\(200\) −1.55102 32.5600i −0.109674 2.30234i
\(201\) 2.35384 + 9.70266i 0.166027 + 0.684373i
\(202\) −16.4076 14.2173i −1.15443 1.00032i
\(203\) −14.1692 + 6.98979i −0.994481 + 0.490587i
\(204\) 14.7302 + 6.72707i 1.03132 + 0.470989i
\(205\) 5.12874 + 6.52172i 0.358206 + 0.455497i
\(206\) −13.2844 + 23.0093i −0.925571 + 1.60314i
\(207\) 0.877309 + 4.71490i 0.0609772 + 0.327709i
\(208\) 57.6306 33.2730i 3.99596 2.30707i
\(209\) 1.01591 0.146066i 0.0702718 0.0101036i
\(210\) 2.54831 + 9.28417i 0.175850 + 0.640668i
\(211\) 9.76380 2.86691i 0.672168 0.197366i 0.0721996 0.997390i \(-0.476998\pi\)
0.599968 + 0.800024i \(0.295180\pi\)
\(212\) 8.07982 41.9221i 0.554925 2.87922i
\(213\) 9.16682 + 9.61388i 0.628100 + 0.658732i
\(214\) −20.3452 + 0.969160i −1.39077 + 0.0662504i
\(215\) 2.42530 + 1.72705i 0.165404 + 0.117784i
\(216\) −7.55157 + 6.54347i −0.513819 + 0.445227i
\(217\) 6.51602 + 8.59493i 0.442337 + 0.583462i
\(218\) 7.11995 + 1.02369i 0.482224 + 0.0693333i
\(219\) 11.2402 4.49991i 0.759545 0.304076i
\(220\) −2.93673 5.69646i −0.197994 0.384055i
\(221\) 2.22053 + 11.5212i 0.149369 + 0.775001i
\(222\) 10.9688 15.4036i 0.736179 1.03382i
\(223\) 6.39234 + 9.94668i 0.428063 + 0.666079i 0.986555 0.163431i \(-0.0522562\pi\)
−0.558492 + 0.829510i \(0.688620\pi\)
\(224\) 39.5174 53.4637i 2.64036 3.57220i
\(225\) −2.13632 + 2.46544i −0.142421 + 0.164363i
\(226\) 27.4613 28.8006i 1.82670 1.91578i
\(227\) 10.1127 + 14.2013i 0.671202 + 0.942572i 0.999998 0.00182902i \(-0.000582196\pi\)
−0.328796 + 0.944401i \(0.606643\pi\)
\(228\) 2.47800 6.18975i 0.164110 0.409926i
\(229\) 12.1921 + 21.1174i 0.805679 + 1.39548i 0.915832 + 0.401562i \(0.131533\pi\)
−0.110153 + 0.993915i \(0.535134\pi\)
\(230\) −9.52918 + 14.6201i −0.628335 + 0.964019i
\(231\) −1.46799 1.75608i −0.0965867 0.115541i
\(232\) −8.49186 59.0621i −0.557518 3.87762i
\(233\) 8.65490 0.826442i 0.567001 0.0541420i 0.192381 0.981320i \(-0.438379\pi\)
0.374620 + 0.927178i \(0.377773\pi\)
\(234\) −10.9233 2.64995i −0.714075 0.173233i
\(235\) 11.9832 4.14743i 0.781699 0.270549i
\(236\) −29.5625 + 7.17178i −1.92435 + 0.466843i
\(237\) 13.0342 8.37655i 0.846660 0.544115i
\(238\) 11.9015 + 17.3561i 0.771459 + 1.12503i
\(239\) 3.56503 + 4.11427i 0.230603 + 0.266130i 0.859244 0.511565i \(-0.170934\pi\)
−0.628642 + 0.777695i \(0.716389\pi\)
\(240\) −21.5192 1.02509i −1.38906 0.0661691i
\(241\) −3.77342 2.96745i −0.243068 0.191150i 0.489192 0.872176i \(-0.337292\pi\)
−0.732260 + 0.681026i \(0.761534\pi\)
\(242\) −22.2442 17.4930i −1.42991 1.12449i
\(243\) 0.998867 + 0.0475819i 0.0640774 + 0.00305238i
\(244\) 48.0630 + 55.4677i 3.07692 + 3.55096i
\(245\) −2.49185 + 8.88486i −0.159198 + 0.567633i
\(246\) −14.6156 + 9.39284i −0.931853 + 0.598866i
\(247\) 4.69472 1.13893i 0.298718 0.0724682i
\(248\) −38.4938 + 13.3228i −2.44436 + 0.846001i
\(249\) 3.76345 + 0.913003i 0.238499 + 0.0578592i
\(250\) −29.9291 + 2.85788i −1.89288 + 0.180748i
\(251\) −1.08075 7.51680i −0.0682165 0.474456i −0.995081 0.0990609i \(-0.968416\pi\)
0.926865 0.375395i \(-0.122493\pi\)
\(252\) −14.6475 + 2.55480i −0.922707 + 0.160937i
\(253\) 0.616848 4.10277i 0.0387809 0.257939i
\(254\) 1.09652 + 1.89924i 0.0688021 + 0.119169i
\(255\) 1.41177 3.52643i 0.0884085 0.220834i
\(256\) 39.0951 + 54.9013i 2.44344 + 3.43133i
\(257\) −13.2821 + 13.9299i −0.828515 + 0.868921i −0.993079 0.117445i \(-0.962530\pi\)
0.164565 + 0.986366i \(0.447378\pi\)
\(258\) −4.08283 + 4.71184i −0.254186 + 0.293346i
\(259\) 16.6174 7.23591i 1.03256 0.449618i
\(260\) −16.3088 25.3770i −1.01143 1.57382i
\(261\) −3.46389 + 4.86435i −0.214409 + 0.301096i
\(262\) −11.5490 59.9219i −0.713500 3.70199i
\(263\) −4.67077 9.06002i −0.288012 0.558665i 0.699796 0.714343i \(-0.253274\pi\)
−0.987808 + 0.155678i \(0.950244\pi\)
\(264\) 8.02503 3.21274i 0.493906 0.197730i
\(265\) −9.91269 1.42523i −0.608932 0.0875512i
\(266\) 6.90472 5.23463i 0.423355 0.320956i
\(267\) 5.99100 5.19124i 0.366644 0.317698i
\(268\) −45.7049 32.5463i −2.79187 1.98808i
\(269\) −3.37120 + 0.160590i −0.205546 + 0.00979136i −0.150102 0.988670i \(-0.547960\pi\)
−0.0554435 + 0.998462i \(0.517657\pi\)
\(270\) 2.51111 + 2.63357i 0.152821 + 0.160274i
\(271\) 4.47645 23.2260i 0.271925 1.41088i −0.547073 0.837085i \(-0.684258\pi\)
0.818998 0.573796i \(-0.194530\pi\)
\(272\) −45.1843 + 13.2673i −2.73970 + 0.804449i
\(273\) −7.66402 7.57136i −0.463848 0.458240i
\(274\) 43.5852 6.26660i 2.63308 0.378579i
\(275\) 2.44407 1.41109i 0.147383 0.0850917i
\(276\) −21.0779 16.7964i −1.26874 1.01102i
\(277\) −6.78304 + 11.7486i −0.407553 + 0.705903i −0.994615 0.103639i \(-0.966951\pi\)
0.587062 + 0.809542i \(0.300285\pi\)
\(278\) 16.0677 + 20.4318i 0.963679 + 1.22542i
\(279\) 3.70822 + 1.69349i 0.222005 + 0.101386i
\(280\) −28.9793 19.3578i −1.73184 1.15685i
\(281\) 21.4255 + 18.5653i 1.27814 + 1.10751i 0.988635 + 0.150336i \(0.0480354\pi\)
0.289503 + 0.957177i \(0.406510\pi\)
\(282\) 6.26019 + 25.8049i 0.372789 + 1.53666i
\(283\) 1.30645 + 27.4258i 0.0776604 + 1.63029i 0.616128 + 0.787646i \(0.288700\pi\)
−0.538468 + 0.842646i \(0.680997\pi\)
\(284\) −74.3141 7.09613i −4.40973 0.421078i
\(285\) −1.47794 0.511520i −0.0875457 0.0302998i
\(286\) 8.18019 + 5.25709i 0.483705 + 0.310858i
\(287\) −16.6445 + 0.497518i −0.982494 + 0.0293676i
\(288\) 3.57612 24.8725i 0.210725 1.46562i
\(289\) −0.413814 + 8.68701i −0.0243420 + 0.511001i
\(290\) −21.3373 + 4.11243i −1.25297 + 0.241490i
\(291\) 0.925387 9.69109i 0.0542472 0.568102i
\(292\) −31.1787 + 60.4783i −1.82460 + 3.53922i
\(293\) 10.5720 + 3.10423i 0.617624 + 0.181351i 0.575554 0.817764i \(-0.304786\pi\)
0.0420703 + 0.999115i \(0.486605\pi\)
\(294\) −18.0247 6.96283i −1.05122 0.406081i
\(295\) 2.01033 + 6.84656i 0.117046 + 0.398622i
\(296\) 6.50663 + 68.1405i 0.378190 + 3.96059i
\(297\) −0.803132 0.321526i −0.0466025 0.0186568i
\(298\) 6.76349 + 3.90490i 0.391798 + 0.226205i
\(299\) 1.05463 19.4997i 0.0609908 1.12769i
\(300\) 18.3332i 1.05847i
\(301\) −5.68079 + 1.85411i −0.327435 + 0.106869i
\(302\) −7.29810 + 15.9806i −0.419959 + 0.919581i
\(303\) −5.69211 5.42742i −0.327003 0.311797i
\(304\) 6.34152 + 18.3226i 0.363711 + 1.05087i
\(305\) 12.4599 11.8805i 0.713449 0.680273i
\(306\) 7.06992 + 3.64480i 0.404161 + 0.208359i
\(307\) −20.6421 + 9.42693i −1.17811 + 0.538024i −0.905601 0.424131i \(-0.860580\pi\)
−0.272506 + 0.962154i \(0.587853\pi\)
\(308\) 12.6975 + 2.05586i 0.723509 + 0.117144i
\(309\) −5.20367 + 8.09707i −0.296027 + 0.460626i
\(310\) 5.51334 + 13.7717i 0.313137 + 0.782177i
\(311\) 13.1967 16.7810i 0.748319 0.951565i −0.251549 0.967845i \(-0.580940\pi\)
0.999867 + 0.0162799i \(0.00518227\pi\)
\(312\) 36.1641 18.6439i 2.04739 1.05550i
\(313\) 5.30937 15.3404i 0.300104 0.867092i −0.689629 0.724163i \(-0.742226\pi\)
0.989733 0.142930i \(-0.0456523\pi\)
\(314\) −12.9076 28.2637i −0.728418 1.59501i
\(315\) 0.762085 + 3.40346i 0.0429386 + 0.191763i
\(316\) −24.5310 + 83.5450i −1.37998 + 4.69977i
\(317\) 31.0604 + 5.98641i 1.74453 + 0.336230i 0.959174 0.282817i \(-0.0912690\pi\)
0.785354 + 0.619047i \(0.212481\pi\)
\(318\) 4.94403 20.3796i 0.277247 1.14283i
\(319\) 4.20815 2.99661i 0.235611 0.167778i
\(320\) 38.0065 29.8886i 2.12463 1.67083i
\(321\) −7.37872 −0.411840
\(322\) −12.2287 32.8215i −0.681479 1.82907i
\(323\) −3.41863 −0.190217
\(324\) −4.41748 + 3.47394i −0.245415 + 0.192997i
\(325\) 10.8205 7.70521i 0.600211 0.427408i
\(326\) −3.69028 + 15.2116i −0.204386 + 0.842490i
\(327\) 2.55875 + 0.493158i 0.141499 + 0.0272717i
\(328\) 17.7179 60.3416i 0.978308 3.33181i
\(329\) −7.60175 + 24.2887i −0.419098 + 1.33908i
\(330\) −1.30772 2.86351i −0.0719878 0.157631i
\(331\) −2.61247 + 7.54824i −0.143594 + 0.414889i −0.993748 0.111646i \(-0.964388\pi\)
0.850154 + 0.526535i \(0.176509\pi\)
\(332\) −19.3441 + 9.97256i −1.06164 + 0.547315i
\(333\) 4.23465 5.38479i 0.232057 0.295085i
\(334\) 11.0464 + 27.5926i 0.604433 + 1.50980i
\(335\) −7.11561 + 11.0721i −0.388767 + 0.604934i
\(336\) 27.3264 33.5091i 1.49078 1.82807i
\(337\) 1.11706 0.510145i 0.0608502 0.0277894i −0.384757 0.923018i \(-0.625715\pi\)
0.445608 + 0.895228i \(0.352988\pi\)
\(338\) 8.78466 + 4.52881i 0.477823 + 0.246335i
\(339\) 10.4335 9.94829i 0.566668 0.540317i
\(340\) 6.98193 + 20.1730i 0.378649 + 1.09403i
\(341\) −2.55238 2.43369i −0.138219 0.131792i
\(342\) 1.36046 2.97899i 0.0735651 0.161085i
\(343\) −11.3674 14.6213i −0.613784 0.789474i
\(344\) 22.5683i 1.21680i
\(345\) −3.70020 + 5.12610i −0.199212 + 0.275980i
\(346\) −17.7842 10.2677i −0.956083 0.551995i
\(347\) 3.25503 + 1.30312i 0.174739 + 0.0699550i 0.457382 0.889270i \(-0.348787\pi\)
−0.282643 + 0.959225i \(0.591211\pi\)
\(348\) −3.19003 33.4075i −0.171004 1.79083i
\(349\) −7.56838 25.7755i −0.405126 1.37973i −0.869430 0.494056i \(-0.835514\pi\)
0.464304 0.885676i \(-0.346305\pi\)
\(350\) 12.2763 20.4190i 0.656198 1.09144i
\(351\) −3.90696 1.14719i −0.208538 0.0612324i
\(352\) −9.96114 + 19.3219i −0.530930 + 1.02986i
\(353\) −1.67107 + 17.5003i −0.0889422 + 0.931445i 0.835340 + 0.549734i \(0.185271\pi\)
−0.924282 + 0.381711i \(0.875335\pi\)
\(354\) −14.6720 + 2.82779i −0.779807 + 0.150295i
\(355\) −0.833213 + 17.4913i −0.0442223 + 0.928341i
\(356\) −6.34007 + 44.0962i −0.336023 + 2.33709i
\(357\) 4.00745 + 6.48555i 0.212097 + 0.343251i
\(358\) 21.5946 + 13.8780i 1.14131 + 0.733475i
\(359\) −4.66502 1.61458i −0.246210 0.0852143i 0.201176 0.979555i \(-0.435524\pi\)
−0.447386 + 0.894341i \(0.647645\pi\)
\(360\) −13.1124 1.25208i −0.691085 0.0659906i
\(361\) −0.837083 17.5725i −0.0440570 0.924870i
\(362\) 3.63155 + 14.9695i 0.190870 + 0.786778i
\(363\) −7.74764 6.71337i −0.406646 0.352361i
\(364\) 60.4146 + 3.95177i 3.16658 + 0.207129i
\(365\) 14.5183 + 6.63028i 0.759922 + 0.347045i
\(366\) 22.2850 + 28.3377i 1.16486 + 1.48123i
\(367\) −6.51132 + 11.2779i −0.339888 + 0.588704i −0.984411 0.175881i \(-0.943723\pi\)
0.644523 + 0.764585i \(0.277056\pi\)
\(368\) 78.3106 3.22571i 4.08222 0.168152i
\(369\) −5.45063 + 3.14692i −0.283748 + 0.163822i
\(370\) 24.6741 3.54759i 1.28274 0.184431i
\(371\) 14.1259 14.2988i 0.733382 0.742357i
\(372\) −21.9818 + 6.45444i −1.13970 + 0.334647i
\(373\) 2.65414 13.7710i 0.137426 0.713036i −0.846207 0.532854i \(-0.821119\pi\)
0.983633 0.180182i \(-0.0576685\pi\)
\(374\) −4.74853 4.98011i −0.245541 0.257516i
\(375\) −10.8793 + 0.518244i −0.561804 + 0.0267620i
\(376\) −78.2957 55.7541i −4.03779 2.87530i
\(377\) 18.3767 15.9235i 0.946450 0.820104i
\(378\) −7.24628 + 0.911134i −0.372708 + 0.0468637i
\(379\) −30.7927 4.42732i −1.58172 0.227416i −0.705277 0.708932i \(-0.749178\pi\)
−0.876438 + 0.481515i \(0.840087\pi\)
\(380\) 8.15957 3.26660i 0.418577 0.167573i
\(381\) 0.364046 + 0.706150i 0.0186506 + 0.0361772i
\(382\) 13.4350 + 69.7072i 0.687392 + 3.56653i
\(383\) 18.5210 26.0092i 0.946381 1.32901i 0.00205456 0.999998i \(-0.499346\pi\)
0.944327 0.329009i \(-0.106715\pi\)
\(384\) 27.5678 + 42.8964i 1.40681 + 2.18905i
\(385\) 0.339977 2.99803i 0.0173268 0.152794i
\(386\) 3.08164 3.55641i 0.156852 0.181016i
\(387\) −1.55862 + 1.63463i −0.0792289 + 0.0830929i
\(388\) 31.7349 + 44.5654i 1.61109 + 2.26247i
\(389\) −2.72703 + 6.81179i −0.138266 + 0.345372i −0.981299 0.192490i \(-0.938344\pi\)
0.843033 + 0.537862i \(0.180768\pi\)
\(390\) −7.40856 12.8320i −0.375147 0.649774i
\(391\) −3.97854 + 13.2342i −0.201203 + 0.669281i
\(392\) 65.8150 23.6791i 3.32416 1.19598i
\(393\) −3.14618 21.8822i −0.158704 1.10381i
\(394\) −3.72089 + 0.355302i −0.187456 + 0.0178998i
\(395\) 19.8487 + 4.81525i 0.998697 + 0.242281i
\(396\) 4.59432 1.59011i 0.230873 0.0799061i
\(397\) −32.6497 + 7.92073i −1.63864 + 0.397530i −0.946107 0.323855i \(-0.895021\pi\)
−0.692534 + 0.721385i \(0.743506\pi\)
\(398\) −5.01937 + 3.22575i −0.251598 + 0.161692i
\(399\) 2.58874 1.77516i 0.129599 0.0888693i
\(400\) 34.9133 + 40.2921i 1.74566 + 2.01460i
\(401\) −7.39232 0.352139i −0.369155 0.0175850i −0.137815 0.990458i \(-0.544008\pi\)
−0.231340 + 0.972873i \(0.574311\pi\)
\(402\) −21.6637 17.0365i −1.08049 0.849706i
\(403\) −13.0481 10.2612i −0.649974 0.511145i
\(404\) 44.1494 + 2.10309i 2.19651 + 0.104633i
\(405\) 0.863263 + 0.996259i 0.0428959 + 0.0495045i
\(406\) 18.8174 39.3444i 0.933894 1.95263i
\(407\) −4.98552 + 3.20400i −0.247123 + 0.158816i
\(408\) −27.9810 + 6.78811i −1.38526 + 0.336061i
\(409\) −5.31110 + 1.83819i −0.262617 + 0.0908926i −0.455204 0.890387i \(-0.650434\pi\)
0.192587 + 0.981280i \(0.438312\pi\)
\(410\) −22.2569 5.39946i −1.09919 0.266661i
\(411\) 15.8796 1.51631i 0.783281 0.0747943i
\(412\) −7.69793 53.5403i −0.379250 2.63774i
\(413\) −13.4486 4.92311i −0.661764 0.242251i
\(414\) −9.94897 8.73350i −0.488965 0.429228i
\(415\) 2.55251 + 4.42109i 0.125298 + 0.217023i
\(416\) −38.0284 + 94.9903i −1.86449 + 4.65728i
\(417\) 5.46201 + 7.67033i 0.267476 + 0.375617i
\(418\) −1.95510 + 2.05045i −0.0956270 + 0.100291i
\(419\) 17.3705 20.0466i 0.848604 0.979342i −0.151354 0.988480i \(-0.548363\pi\)
0.999958 + 0.00913802i \(0.00290876\pi\)
\(420\) −15.7621 11.6505i −0.769112 0.568484i
\(421\) −15.2752 23.7687i −0.744469 1.15842i −0.982337 0.187119i \(-0.940085\pi\)
0.237868 0.971297i \(-0.423551\pi\)
\(422\) −16.2937 + 22.8813i −0.793165 + 1.11384i
\(423\) 1.82048 + 9.44555i 0.0885148 + 0.459258i
\(424\) 34.7841 + 67.4717i 1.68926 + 3.27671i
\(425\) −8.72686 + 3.49371i −0.423315 + 0.169470i
\(426\) −36.2952 5.21846i −1.75851 0.252835i
\(427\) 4.31072 + 34.2833i 0.208610 + 1.65909i
\(428\) 31.3387 27.1552i 1.51481 1.31259i
\(429\) 2.86943 + 2.04331i 0.138537 + 0.0986521i
\(430\) −8.20946 + 0.391065i −0.395895 + 0.0188588i
\(431\) −2.39894 2.51593i −0.115553 0.121188i 0.663417 0.748250i \(-0.269106\pi\)
−0.778969 + 0.627062i \(0.784257\pi\)
\(432\) 3.09288 16.0474i 0.148806 0.772081i
\(433\) 2.15490 0.632736i 0.103558 0.0304074i −0.229543 0.973299i \(-0.573723\pi\)
0.333101 + 0.942891i \(0.391905\pi\)
\(434\) −28.8047 7.53074i −1.38267 0.361487i
\(435\) −7.79191 + 1.12031i −0.373594 + 0.0537147i
\(436\) −12.6824 + 7.32217i −0.607376 + 0.350668i
\(437\) 5.52064 + 1.37695i 0.264088 + 0.0658685i
\(438\) −16.7108 + 28.9440i −0.798474 + 1.38300i
\(439\) −2.35056 2.98898i −0.112186 0.142656i 0.726717 0.686937i \(-0.241045\pi\)
−0.838903 + 0.544280i \(0.816803\pi\)
\(440\) 10.3654 + 4.73372i 0.494151 + 0.225671i
\(441\) −6.40232 2.83024i −0.304873 0.134773i
\(442\) −24.4776 21.2100i −1.16428 1.00885i
\(443\) −0.191384 0.788895i −0.00909292 0.0374815i 0.967084 0.254456i \(-0.0818964\pi\)
−0.976177 + 0.216974i \(0.930381\pi\)
\(444\) 1.83181 + 38.4545i 0.0869340 + 1.82497i
\(445\) 10.4027 + 0.993335i 0.493134 + 0.0470886i
\(446\) −30.8429 10.6748i −1.46046 0.505469i
\(447\) 2.38010 + 1.52960i 0.112575 + 0.0723474i
\(448\) 2.89938 + 96.9989i 0.136983 + 4.58277i
\(449\) −3.06558 + 21.3216i −0.144674 + 1.00623i 0.780085 + 0.625673i \(0.215176\pi\)
−0.924759 + 0.380554i \(0.875733\pi\)
\(450\) 0.428480 8.99491i 0.0201988 0.424024i
\(451\) 5.34642 1.03044i 0.251753 0.0485214i
\(452\) −7.70108 + 80.6494i −0.362228 + 3.79343i
\(453\) −2.91632 + 5.65688i −0.137021 + 0.265783i
\(454\) −46.1753 13.5583i −2.16712 0.636323i
\(455\) 0.251612 14.1995i 0.0117958 0.665682i
\(456\) 3.33985 + 11.3745i 0.156403 + 0.532659i
\(457\) 2.85479 + 29.8967i 0.133542 + 1.39851i 0.775295 + 0.631599i \(0.217601\pi\)
−0.641753 + 0.766911i \(0.721793\pi\)
\(458\) −62.4888 25.0167i −2.91991 1.16896i
\(459\) 2.49547 + 1.44076i 0.116478 + 0.0672488i
\(460\) −3.14968 35.3889i −0.146854 1.65002i
\(461\) 3.30710i 0.154027i −0.997030 0.0770136i \(-0.975462\pi\)
0.997030 0.0770136i \(-0.0245385\pi\)
\(462\) 6.18179 + 1.30544i 0.287603 + 0.0607346i
\(463\) 12.0262 26.3337i 0.558904 1.22383i −0.393593 0.919285i \(-0.628768\pi\)
0.952498 0.304545i \(-0.0985045\pi\)
\(464\) 70.6313 + 67.3468i 3.27897 + 3.12649i
\(465\) 1.75765 + 5.07839i 0.0815089 + 0.235505i
\(466\) −17.3694 + 16.5617i −0.804621 + 0.767204i
\(467\) −20.8517 10.7498i −0.964904 0.497442i −0.0976022 0.995226i \(-0.531117\pi\)
−0.867302 + 0.497783i \(0.834148\pi\)
\(468\) 20.8154 9.50609i 0.962194 0.439419i
\(469\) −9.38161 24.6933i −0.433202 1.14023i
\(470\) −18.9244 + 29.4470i −0.872918 + 1.35829i
\(471\) −4.18350 10.4499i −0.192765 0.481505i
\(472\) 33.4346 42.5155i 1.53895 1.95694i
\(473\) 1.73672 0.895339i 0.0798543 0.0411677i
\(474\) −13.9884 + 40.4167i −0.642506 + 1.85640i
\(475\) 1.60779 + 3.52057i 0.0737705 + 0.161535i
\(476\) −40.8884 12.7971i −1.87412 0.586552i
\(477\) 2.14031 7.28924i 0.0979983 0.333752i
\(478\) −14.7559 2.84397i −0.674921 0.130080i
\(479\) 5.16131 21.2752i 0.235826 0.972090i −0.723620 0.690199i \(-0.757523\pi\)
0.959446 0.281891i \(-0.0909617\pi\)
\(480\) 26.9828 19.2144i 1.23159 0.877013i
\(481\) −21.9264 + 17.2431i −0.999756 + 0.786216i
\(482\) 13.2512 0.603577
\(483\) −3.85927 12.0874i −0.175603 0.549997i
\(484\) 57.6122 2.61873
\(485\) 10.0876 7.93301i 0.458056 0.360220i
\(486\) −2.24856 + 1.60119i −0.101997 + 0.0726315i
\(487\) 2.95857 12.1954i 0.134066 0.552626i −0.864669 0.502342i \(-0.832472\pi\)
0.998735 0.0502846i \(-0.0160128\pi\)
\(488\) −128.138 24.6967i −5.80055 1.11796i
\(489\) −1.59756 + 5.44078i −0.0722440 + 0.246041i
\(490\) −9.75396 23.5306i −0.440639 1.06300i
\(491\) 6.59054 + 14.4313i 0.297427 + 0.651274i 0.998061 0.0622471i \(-0.0198267\pi\)
−0.700634 + 0.713521i \(0.747099\pi\)
\(492\) 11.5685 33.4249i 0.521547 1.50691i
\(493\) −15.2945 + 7.88486i −0.688830 + 0.355116i
\(494\) −8.24329 + 10.4822i −0.370883 + 0.471616i
\(495\) −0.423848 1.05872i −0.0190505 0.0475859i
\(496\) 36.0191 56.0468i 1.61731 2.51658i
\(497\) −27.2369 22.2115i −1.22174 0.996322i
\(498\) −9.72394 + 4.44077i −0.435740 + 0.198996i
\(499\) 0.285568 + 0.147220i 0.0127838 + 0.00659049i 0.464607 0.885517i \(-0.346196\pi\)
−0.451823 + 0.892108i \(0.649226\pi\)
\(500\) 44.2990 42.2390i 1.98111 1.88899i
\(501\) 3.52158 + 10.1749i 0.157333 + 0.454583i
\(502\) 15.1715 + 14.4660i 0.677135 + 0.645647i
\(503\) −8.18078 + 17.9134i −0.364763 + 0.798719i 0.634896 + 0.772598i \(0.281043\pi\)
−0.999659 + 0.0261217i \(0.991684\pi\)
\(504\) 17.6637 19.6697i 0.786802 0.876159i
\(505\) 10.3678i 0.461363i
\(506\) 5.66238 + 9.95485i 0.251723 + 0.442547i
\(507\) 3.10071 + 1.79020i 0.137708 + 0.0795055i
\(508\) −4.14494 1.65938i −0.183902 0.0736233i
\(509\) 0.492446 + 5.15712i 0.0218273 + 0.228585i 0.999803 + 0.0198653i \(0.00632373\pi\)
−0.977975 + 0.208720i \(0.933070\pi\)
\(510\) 2.95410 + 10.0607i 0.130810 + 0.445497i
\(511\) −28.0212 + 15.5227i −1.23959 + 0.686685i
\(512\) −80.6602 23.6840i −3.56471 1.04669i
\(513\) 0.543639 1.05451i 0.0240023 0.0465579i
\(514\) 5.05033 52.8895i 0.222761 2.33285i
\(515\) −12.4588 + 2.40123i −0.548999 + 0.105811i
\(516\) 0.603955 12.6786i 0.0265876 0.558143i
\(517\) 1.18431 8.23703i 0.0520858 0.362264i
\(518\) −23.7098 + 44.0561i −1.04175 + 1.93571i
\(519\) −6.25832 4.02198i −0.274710 0.176545i
\(520\) 50.6854 + 17.5424i 2.22270 + 0.769285i
\(521\) 31.9351 + 3.04943i 1.39910 + 0.133598i 0.767178 0.641434i \(-0.221660\pi\)
0.631922 + 0.775032i \(0.282266\pi\)
\(522\) −0.784345 16.4654i −0.0343299 0.720672i
\(523\) 1.03678 + 4.27368i 0.0453354 + 0.186875i 0.989977 0.141229i \(-0.0451054\pi\)
−0.944642 + 0.328104i \(0.893590\pi\)
\(524\) 93.8931 + 81.3589i 4.10174 + 3.55418i
\(525\) 4.79423 7.17712i 0.209237 0.313235i
\(526\) 25.5945 + 11.6886i 1.11597 + 0.509647i
\(527\) 7.26140 + 9.23363i 0.316312 + 0.402223i
\(528\) −7.06906 + 12.2440i −0.307641 + 0.532851i
\(529\) 11.7553 19.7690i 0.511099 0.859522i
\(530\) 23.9408 13.8222i 1.03992 0.600398i
\(531\) −5.35788 + 0.770347i −0.232512 + 0.0334302i
\(532\) −4.46189 + 17.0665i −0.193447 + 0.739928i
\(533\) 24.5898 7.22022i 1.06510 0.312742i
\(534\) −4.14126 + 21.4869i −0.179210 + 0.929830i
\(535\) −6.71234 7.03970i −0.290200 0.304353i
\(536\) 99.6497 4.74690i 4.30421 0.205035i
\(537\) 7.57491 + 5.39407i 0.326881 + 0.232771i
\(538\) 7.04089 6.10096i 0.303554 0.263031i
\(539\) 4.43323 + 4.12530i 0.190953 + 0.177689i
\(540\) −7.33286 1.05431i −0.315556 0.0453701i
\(541\) 28.7387 11.5053i 1.23558 0.494650i 0.340365 0.940293i \(-0.389449\pi\)
0.895210 + 0.445644i \(0.147025\pi\)
\(542\) 29.9190 + 58.0348i 1.28513 + 2.49281i
\(543\) 1.05606 + 5.47938i 0.0453201 + 0.235143i
\(544\) 42.0004 58.9813i 1.80075 2.52880i
\(545\) 1.85717 + 2.88981i 0.0795522 + 0.123786i
\(546\) 29.5491 + 3.35087i 1.26458 + 0.143404i
\(547\) 22.6359 26.1233i 0.967843 1.11695i −0.0252571 0.999681i \(-0.508040\pi\)
0.993100 0.117269i \(-0.0374141\pi\)
\(548\) −61.8630 + 64.8800i −2.64266 + 2.77154i
\(549\) 7.57549 + 10.6383i 0.323314 + 0.454031i
\(550\) −2.89537 + 7.23229i −0.123459 + 0.308386i
\(551\) 3.54237 + 6.13556i 0.150910 + 0.261384i
\(552\) 47.9197 + 0.308221i 2.03960 + 0.0131187i
\(553\) −31.4509 + 26.2913i −1.33743 + 1.11802i
\(554\) −5.32938 37.0667i −0.226424 1.57481i
\(555\) 8.98960 0.858402i 0.381587 0.0364372i
\(556\) −51.4265 12.4759i −2.18097 0.529097i
\(557\) 0.377900 0.130792i 0.0160121 0.00554185i −0.319050 0.947738i \(-0.603364\pi\)
0.335062 + 0.942196i \(0.391243\pi\)
\(558\) −10.9359 + 2.65302i −0.462953 + 0.112311i
\(559\) 7.73686 4.97218i 0.327234 0.210301i
\(560\) 56.8281 4.41198i 2.40143 0.186440i
\(561\) −1.63244 1.88393i −0.0689216 0.0795398i
\(562\) −78.1687 3.72364i −3.29735 0.157072i
\(563\) 12.3167 + 9.68593i 0.519085 + 0.408213i 0.843033 0.537862i \(-0.180768\pi\)
−0.323948 + 0.946075i \(0.605010\pi\)
\(564\) −42.4934 33.4172i −1.78929 1.40712i
\(565\) 18.9824 + 0.904244i 0.798596 + 0.0380418i
\(566\) −49.6332 57.2797i −2.08624 2.40765i
\(567\) −2.63781 + 0.204793i −0.110778 + 0.00860048i
\(568\) 111.662 71.7609i 4.68524 3.01102i
\(569\) −9.71537 + 2.35692i −0.407290 + 0.0988074i −0.434169 0.900831i \(-0.642958\pi\)
0.0268797 + 0.999639i \(0.491443\pi\)
\(570\) 4.07971 1.41200i 0.170880 0.0591422i
\(571\) −27.4944 6.67007i −1.15061 0.279134i −0.385294 0.922794i \(-0.625900\pi\)
−0.765312 + 0.643660i \(0.777415\pi\)
\(572\) −19.7068 + 1.88177i −0.823982 + 0.0786808i
\(573\) 3.65995 + 25.4555i 0.152897 + 1.06342i
\(574\) 35.2667 29.4812i 1.47200 1.23052i
\(575\) 15.4999 2.12689i 0.646392 0.0886975i
\(576\) 18.3393 + 31.7645i 0.764136 + 1.32352i
\(577\) −4.50111 + 11.2432i −0.187384 + 0.468062i −0.992077 0.125628i \(-0.959905\pi\)
0.804694 + 0.593690i \(0.202330\pi\)
\(578\) −13.9253 19.5554i −0.579218 0.813397i
\(579\) 1.17641 1.23379i 0.0488901 0.0512744i
\(580\) 28.9707 33.4339i 1.20294 1.38827i
\(581\) −10.1807 1.15449i −0.422367 0.0478965i
\(582\) 14.5286 + 22.6070i 0.602231 + 0.937090i
\(583\) −3.81222 + 5.35352i −0.157886 + 0.221720i
\(584\) −22.8957 118.794i −0.947430 4.91573i
\(585\) −2.45964 4.77104i −0.101694 0.197258i
\(586\) −28.2364 + 11.3041i −1.16643 + 0.466970i
\(587\) −23.3454 3.35656i −0.963566 0.138540i −0.357464 0.933927i \(-0.616359\pi\)
−0.606102 + 0.795387i \(0.707268\pi\)
\(588\) 37.6076 11.5413i 1.55091 0.475955i
\(589\) 3.65517 3.16722i 0.150609 0.130503i
\(590\) −16.0448 11.4255i −0.660554 0.470379i
\(591\) −1.35255 + 0.0644299i −0.0556364 + 0.00265029i
\(592\) −77.2575 81.0254i −3.17526 3.33012i
\(593\) 0.404670 2.09963i 0.0166178 0.0862214i −0.972673 0.232179i \(-0.925414\pi\)
0.989291 + 0.145958i \(0.0466265\pi\)
\(594\) 2.29130 0.672785i 0.0940130 0.0276047i
\(595\) −2.54203 + 9.72316i −0.104213 + 0.398610i
\(596\) −15.7379 + 2.26277i −0.644650 + 0.0926867i
\(597\) −1.87189 + 1.08074i −0.0766113 + 0.0442316i
\(598\) 30.9852 + 44.1104i 1.26708 + 1.80381i
\(599\) 3.04435 5.27297i 0.124389 0.215448i −0.797105 0.603841i \(-0.793636\pi\)
0.921494 + 0.388393i \(0.126970\pi\)
\(600\) 20.1501 + 25.6229i 0.822623 + 1.04605i
\(601\) −6.42012 2.93197i −0.261882 0.119598i 0.280147 0.959957i \(-0.409617\pi\)
−0.542029 + 0.840359i \(0.682344\pi\)
\(602\) 9.16252 13.7166i 0.373436 0.559047i
\(603\) −7.54548 6.53820i −0.307276 0.266256i
\(604\) −8.43230 34.7584i −0.343105 1.41430i
\(605\) −0.643025 13.4988i −0.0261427 0.548802i
\(606\) 21.6120 + 2.06370i 0.877929 + 0.0838321i
\(607\) 37.7084 + 13.0510i 1.53054 + 0.529724i 0.957158 0.289566i \(-0.0935111\pi\)
0.573379 + 0.819290i \(0.305632\pi\)
\(608\) −25.0795 16.1176i −1.01711 0.653656i
\(609\) 7.48739 13.9126i 0.303405 0.563769i
\(610\) −6.76327 + 47.0396i −0.273837 + 1.90458i
\(611\) 1.86375 39.1248i 0.0753991 1.58282i
\(612\) −15.9010 + 3.06466i −0.642758 + 0.123882i
\(613\) 0.814083 8.52546i 0.0328805 0.344340i −0.964030 0.265794i \(-0.914366\pi\)
0.996910 0.0785466i \(-0.0250279\pi\)
\(614\) 28.7039 55.6778i 1.15840 2.24697i
\(615\) −7.96071 2.33748i −0.321007 0.0942561i
\(616\) −20.0059 + 11.0825i −0.806061 + 0.446528i
\(617\) −6.70259 22.8269i −0.269836 0.918977i −0.977234 0.212162i \(-0.931950\pi\)
0.707398 0.706815i \(-0.249869\pi\)
\(618\) −2.52553 26.4486i −0.101592 1.06392i
\(619\) −38.2256 15.3032i −1.53642 0.615089i −0.559524 0.828814i \(-0.689016\pi\)
−0.976894 + 0.213725i \(0.931440\pi\)
\(620\) −26.1545 15.1003i −1.05039 0.606443i
\(621\) −3.44955 3.33176i −0.138426 0.133699i
\(622\) 58.9304i 2.36289i
\(623\) −14.0134 + 15.6049i −0.561435 + 0.625196i
\(624\) −27.6442 + 60.5324i −1.10666 + 2.42324i
\(625\) 1.41379 + 1.34805i 0.0565518 + 0.0539220i
\(626\) 14.6560 + 42.3458i 0.585772 + 1.69248i
\(627\) −0.742808 + 0.708266i −0.0296649 + 0.0282854i
\(628\) 56.2257 + 28.9863i 2.24365 + 1.15668i
\(629\) 17.9558 8.20012i 0.715943 0.326960i
\(630\) −7.46113 6.08450i −0.297259 0.242412i
\(631\) −23.4369 + 36.4685i −0.933008 + 1.45179i −0.0413158 + 0.999146i \(0.513155\pi\)
−0.891692 + 0.452643i \(0.850481\pi\)
\(632\) −57.5393 143.726i −2.28879 5.71712i
\(633\) −6.29038 + 7.99887i −0.250020 + 0.317927i
\(634\) −77.6106 + 40.0111i −3.08231 + 1.58904i
\(635\) −0.342537 + 0.989697i −0.0135932 + 0.0392749i
\(636\) 17.7356 + 38.8355i 0.703261 + 1.53993i
\(637\) 22.6178 + 17.3458i 0.896149 + 0.687264i
\(638\) −4.01762 + 13.6828i −0.159059 + 0.541706i
\(639\) −13.0437 2.51396i −0.515999 0.0994507i
\(640\) −15.8473 + 65.3236i −0.626421 + 2.58214i
\(641\) 21.2762 15.1507i 0.840359 0.598417i −0.0767514 0.997050i \(-0.524455\pi\)
0.917110 + 0.398633i \(0.130515\pi\)
\(642\) 16.0105 12.5908i 0.631885 0.496920i
\(643\) −18.2250 −0.718724 −0.359362 0.933198i \(-0.617006\pi\)
−0.359362 + 0.933198i \(0.617006\pi\)
\(644\) 60.8752 + 37.1346i 2.39882 + 1.46331i
\(645\) −2.97738 −0.117234
\(646\) 7.41781 5.83343i 0.291850 0.229513i
\(647\) 12.7186 9.05687i 0.500020 0.356062i −0.302051 0.953292i \(-0.597671\pi\)
0.802070 + 0.597230i \(0.203732\pi\)
\(648\) 2.35574 9.71050i 0.0925423 0.381464i
\(649\) 4.59815 + 0.886221i 0.180493 + 0.0347872i
\(650\) −10.3306 + 35.1826i −0.405198 + 1.37998i
\(651\) −10.2933 3.22156i −0.403428 0.126263i
\(652\) −13.2380 28.9873i −0.518442 1.13523i
\(653\) −6.36109 + 18.3792i −0.248929 + 0.719232i 0.749437 + 0.662076i \(0.230324\pi\)
−0.998365 + 0.0571560i \(0.981797\pi\)
\(654\) −6.39354 + 3.29610i −0.250007 + 0.128888i
\(655\) 18.0147 22.9076i 0.703894 0.895074i
\(656\) 38.2287 + 95.4907i 1.49258 + 3.72828i
\(657\) −6.54582 + 10.1855i −0.255377 + 0.397374i
\(658\) −24.9510 65.6735i −0.972691 2.56022i
\(659\) 5.90515 2.69679i 0.230032 0.105052i −0.297065 0.954857i \(-0.596008\pi\)
0.527097 + 0.849805i \(0.323280\pi\)
\(660\) 5.69646 + 2.93673i 0.221734 + 0.114312i
\(661\) 12.8562 12.2584i 0.500049 0.476796i −0.397568 0.917573i \(-0.630146\pi\)
0.897617 + 0.440777i \(0.145297\pi\)
\(662\) −7.21147 20.8362i −0.280282 0.809821i
\(663\) −8.49176 8.09687i −0.329792 0.314456i
\(664\) 16.0748 35.1989i 0.623823 1.36598i
\(665\) 4.04855 + 0.854954i 0.156996 + 0.0331537i
\(666\) 18.9099i 0.732744i
\(667\) 27.8745 6.57274i 1.07931 0.254497i
\(668\) −52.4026 30.2547i −2.02752 1.17059i
\(669\) −10.9767 4.39440i −0.424383 0.169897i
\(670\) −3.45347 36.1663i −0.133419 1.39723i
\(671\) −3.18305 10.8405i −0.122880 0.418492i
\(672\) −1.17788 + 66.4726i −0.0454378 + 2.56424i
\(673\) 13.8278 + 4.06020i 0.533021 + 0.156509i 0.537157 0.843482i \(-0.319498\pi\)
−0.00413596 + 0.999991i \(0.501317\pi\)
\(674\) −1.55333 + 3.01304i −0.0598321 + 0.116058i
\(675\) 0.310096 3.24747i 0.0119356 0.124995i
\(676\) −19.7576 + 3.80796i −0.759907 + 0.146460i
\(677\) 0.855366 17.9564i 0.0328744 0.690119i −0.920937 0.389712i \(-0.872575\pi\)
0.953811 0.300407i \(-0.0971224\pi\)
\(678\) −5.66333 + 39.3893i −0.217499 + 1.51274i
\(679\) 0.769549 + 25.7453i 0.0295326 + 0.988016i
\(680\) −31.9302 20.5203i −1.22447 0.786917i
\(681\) −16.4751 5.70209i −0.631327 0.218504i
\(682\) 9.69098 + 0.925376i 0.371087 + 0.0354345i
\(683\) −0.477366 10.0211i −0.0182659 0.383448i −0.989428 0.145027i \(-0.953673\pi\)
0.971162 0.238421i \(-0.0766299\pi\)
\(684\) 1.57189 + 6.47940i 0.0601026 + 0.247746i
\(685\) 15.8921 + 13.7706i 0.607207 + 0.526147i
\(686\) 49.6146 + 12.3285i 1.89429 + 0.470706i
\(687\) −22.1807 10.1296i −0.846247 0.386468i
\(688\) 22.8174 + 29.0146i 0.869904 + 1.10617i
\(689\) −15.4671 + 26.7898i −0.589249 + 1.02061i
\(690\) −0.718236 17.4366i −0.0273428 0.663801i
\(691\) −11.3716 + 6.56540i −0.432597 + 0.249760i −0.700452 0.713699i \(-0.747018\pi\)
0.267856 + 0.963459i \(0.413685\pi\)
\(692\) 41.3819 5.94982i 1.57310 0.226178i
\(693\) 2.21441 + 0.578939i 0.0841186 + 0.0219921i
\(694\) −9.28643 + 2.72674i −0.352508 + 0.103506i
\(695\) −2.34917 + 12.1887i −0.0891093 + 0.462343i
\(696\) 41.1767 + 43.1848i 1.56080 + 1.63692i
\(697\) −18.1153 + 0.862937i −0.686165 + 0.0326861i
\(698\) 60.4046 + 43.0139i 2.28635 + 1.62810i
\(699\) −6.57069 + 5.69353i −0.248526 + 0.215349i
\(700\) 6.05130 + 48.1262i 0.228718 + 1.81900i
\(701\) −7.13289 1.02555i −0.269405 0.0387346i 0.00628815 0.999980i \(-0.497998\pi\)
−0.275694 + 0.961246i \(0.588907\pi\)
\(702\) 10.4349 4.17752i 0.393841 0.157670i
\(703\) −3.72416 7.22385i −0.140459 0.272453i
\(704\) −6.00506 31.1572i −0.226324 1.17428i
\(705\) −7.35550 + 10.3293i −0.277024 + 0.389026i
\(706\) −26.2359 40.8239i −0.987403 1.53643i
\(707\) 16.7337 + 12.3686i 0.629335 + 0.465169i
\(708\) 19.9209 22.9899i 0.748671 0.864013i
\(709\) 7.71696 8.09331i 0.289816 0.303951i −0.562689 0.826668i \(-0.690233\pi\)
0.852506 + 0.522718i \(0.175082\pi\)
\(710\) −28.0386 39.3748i −1.05227 1.47771i
\(711\) −5.75844 + 14.3839i −0.215958 + 0.539438i
\(712\) −39.6051 68.5981i −1.48426 2.57082i
\(713\) −8.00712 17.8359i −0.299869 0.667958i
\(714\) −19.7622 7.23431i −0.739581 0.270737i
\(715\) 0.660859 + 4.59638i 0.0247147 + 0.171895i
\(716\) −52.0232 + 4.96762i −1.94420 + 0.185649i
\(717\) −5.29050 1.28346i −0.197577 0.0479317i
\(718\) 12.8773 4.45689i 0.480578 0.166330i
\(719\) 1.21347 0.294384i 0.0452546 0.0109787i −0.213068 0.977037i \(-0.568345\pi\)
0.258322 + 0.966059i \(0.416830\pi\)
\(720\) 18.1237 11.6474i 0.675429 0.434072i
\(721\) 10.9874 22.9731i 0.409194 0.855562i
\(722\) 31.8015 + 36.7009i 1.18353 + 1.36587i
\(723\) 4.79503 + 0.228416i 0.178329 + 0.00849487i
\(724\) −24.6505 19.3854i −0.916129 0.720452i
\(725\) 15.3130 + 12.0423i 0.568712 + 0.447240i
\(726\) 28.2665 + 1.34650i 1.04907 + 0.0499733i
\(727\) 19.9221 + 22.9913i 0.738869 + 0.852700i 0.993440 0.114354i \(-0.0364799\pi\)
−0.254572 + 0.967054i \(0.581934\pi\)
\(728\) −88.7800 + 60.8786i −3.29041 + 2.25631i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −42.8158 + 10.3870i −1.58468 + 0.384440i
\(731\) −6.15026 + 2.12863i −0.227476 + 0.0787301i
\(732\) −71.3254 17.3034i −2.63626 0.639551i
\(733\) −41.6197 + 3.97420i −1.53726 + 0.146791i −0.829035 0.559197i \(-0.811110\pi\)
−0.708225 + 0.705987i \(0.750504\pi\)
\(734\) −5.11590 35.5818i −0.188831 1.31335i
\(735\) −3.12392 8.68280i −0.115228 0.320270i
\(736\) −91.5816 + 78.3303i −3.37574 + 2.88729i
\(737\) 4.31863 + 7.48008i 0.159079 + 0.275532i
\(738\) 6.45709 16.1290i 0.237689 0.593718i
\(739\) 11.1958 + 15.7223i 0.411844 + 0.578354i 0.967441 0.253098i \(-0.0814496\pi\)
−0.555597 + 0.831452i \(0.687510\pi\)
\(740\) −35.0213 + 36.7293i −1.28741 + 1.35020i
\(741\) −3.16357 + 3.65095i −0.116217 + 0.134121i
\(742\) −6.25174 + 55.1299i −0.229509 + 2.02388i
\(743\) 1.45040 + 2.25686i 0.0532099 + 0.0827962i 0.866839 0.498588i \(-0.166148\pi\)
−0.813629 + 0.581384i \(0.802511\pi\)
\(744\) 23.6281 33.1811i 0.866249 1.21648i
\(745\) 0.705831 + 3.66220i 0.0258596 + 0.134173i
\(746\) 17.7394 + 34.4096i 0.649485 + 1.25982i
\(747\) −3.59521 + 1.43930i −0.131542 + 0.0526614i
\(748\) 13.8665 + 1.99370i 0.507010 + 0.0728970i
\(749\) 19.3697 2.43551i 0.707755 0.0889918i
\(750\) 22.7218 19.6885i 0.829683 0.718924i
\(751\) 9.00650 + 6.41350i 0.328652 + 0.234032i 0.732457 0.680813i \(-0.238373\pi\)
−0.403806 + 0.914845i \(0.632313\pi\)
\(752\) 157.029 7.48021i 5.72626 0.272775i
\(753\) 5.24053 + 5.49610i 0.190975 + 0.200289i
\(754\) −12.7029 + 65.9087i −0.462611 + 2.40025i
\(755\) −8.04992 + 2.36367i −0.292966 + 0.0860227i
\(756\) 10.4496 10.5775i 0.380048 0.384699i
\(757\) −18.7557 + 2.69666i −0.681688 + 0.0980119i −0.474455 0.880280i \(-0.657355\pi\)
−0.207233 + 0.978292i \(0.566446\pi\)
\(758\) 74.3694 42.9372i 2.70122 1.55955i
\(759\) 1.87737 + 3.69982i 0.0681442 + 0.134295i
\(760\) −7.81366 + 13.5336i −0.283431 + 0.490917i
\(761\) −8.41547 10.7011i −0.305061 0.387916i 0.609218 0.793003i \(-0.291484\pi\)
−0.914278 + 0.405087i \(0.867241\pi\)
\(762\) −1.99487 0.911025i −0.0722664 0.0330030i
\(763\) −6.87970 0.450007i −0.249062 0.0162914i
\(764\) −109.226 94.6448i −3.95165 3.42413i
\(765\) 0.895537 + 3.69145i 0.0323782 + 0.133465i
\(766\) 4.19382 + 88.0390i 0.151529 + 3.18098i
\(767\) 21.9413 + 2.09514i 0.792256 + 0.0756512i
\(768\) −63.6918 22.0439i −2.29828 0.795442i
\(769\) −36.6668 23.5643i −1.32224 0.849751i −0.326794 0.945096i \(-0.605968\pi\)
−0.995444 + 0.0953450i \(0.969605\pi\)
\(770\) 4.37805 + 7.08531i 0.157774 + 0.255337i
\(771\) 2.73916 19.0513i 0.0986486 0.686116i
\(772\) −0.455854 + 9.56955i −0.0164065 + 0.344416i
\(773\) 7.26976 1.40113i 0.261475 0.0503952i −0.0568288