Properties

Label 819.2.fy.a.50.3
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.3
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.708020 - 2.64237i) q^{2} +(0.160527 + 1.72460i) q^{3} +(-4.74876 + 2.74170i) q^{4} +(0.977651 + 3.64864i) q^{5} +(4.44336 - 1.64522i) q^{6} +(0.707107 - 0.707107i) q^{7} +(6.73810 + 6.73810i) q^{8} +(-2.94846 + 0.553689i) q^{9} +O(q^{10})\) \(q+(-0.708020 - 2.64237i) q^{2} +(0.160527 + 1.72460i) q^{3} +(-4.74876 + 2.74170i) q^{4} +(0.977651 + 3.64864i) q^{5} +(4.44336 - 1.64522i) q^{6} +(0.707107 - 0.707107i) q^{7} +(6.73810 + 6.73810i) q^{8} +(-2.94846 + 0.553689i) q^{9} +(8.94886 - 5.16663i) q^{10} +(-0.679006 + 0.181939i) q^{11} +(-5.49063 - 7.74958i) q^{12} +(2.06550 + 2.95529i) q^{13} +(-2.36908 - 1.36779i) q^{14} +(-6.13550 + 2.27176i) q^{15} +(7.55042 - 13.0777i) q^{16} +(1.19367 - 2.06750i) q^{17} +(3.55062 + 7.39890i) q^{18} +(-1.51828 + 0.406822i) q^{19} +(-14.6461 - 14.6461i) q^{20} +(1.33298 + 1.10596i) q^{21} +(0.961500 + 1.66537i) q^{22} -5.40400 q^{23} +(-10.5388 + 12.7021i) q^{24} +(-8.02667 + 4.63420i) q^{25} +(6.34654 - 7.55020i) q^{26} +(-1.42820 - 4.99602i) q^{27} +(-1.41921 + 5.29655i) q^{28} +(5.56240 + 3.21145i) q^{29} +(10.3469 + 14.6038i) q^{30} +(-10.3805 + 2.78144i) q^{31} +(-21.4932 - 5.75907i) q^{32} +(-0.422770 - 1.14181i) q^{33} +(-6.30822 - 1.69028i) q^{34} +(3.27128 + 1.88868i) q^{35} +(12.4835 - 10.7131i) q^{36} +(-1.52552 - 0.408761i) q^{37} +(2.14994 + 3.72381i) q^{38} +(-4.76511 + 4.03655i) q^{39} +(-17.9974 + 31.1724i) q^{40} +(6.74222 - 6.74222i) q^{41} +(1.97858 - 4.30528i) q^{42} +6.99013i q^{43} +(2.72562 - 2.72562i) q^{44} +(-4.90278 - 10.2166i) q^{45} +(3.82614 + 14.2793i) q^{46} +(-0.566777 + 2.11524i) q^{47} +(23.7658 + 10.9221i) q^{48} -1.00000i q^{49} +(17.9283 + 17.9283i) q^{50} +(3.75721 + 1.72671i) q^{51} +(-17.9111 - 8.37099i) q^{52} +1.20651i q^{53} +(-12.1901 + 7.31111i) q^{54} +(-1.32766 - 2.29958i) q^{55} +9.52911 q^{56} +(-0.945328 - 2.55311i) q^{57} +(4.54755 - 16.9717i) q^{58} +(-0.620649 + 2.31629i) q^{59} +(22.9075 - 27.6097i) q^{60} -4.37510 q^{61} +(14.6992 + 25.4597i) q^{62} +(-1.69336 + 2.47639i) q^{63} +30.6687i q^{64} +(-8.76346 + 10.4255i) q^{65} +(-2.71774 + 1.92554i) q^{66} +(4.17731 + 4.17731i) q^{67} +13.0907i q^{68} +(-0.867488 - 9.31971i) q^{69} +(2.67444 - 9.98116i) q^{70} +(-1.53924 - 5.74452i) q^{71} +(-23.5978 - 16.1362i) q^{72} +(-3.15627 + 3.15627i) q^{73} +4.32039i q^{74} +(-9.28062 - 13.0989i) q^{75} +(6.09456 - 6.09456i) q^{76} +(-0.351480 + 0.608780i) q^{77} +(14.0398 + 9.73321i) q^{78} +(3.57649 + 6.19466i) q^{79} +(55.0976 + 14.7634i) q^{80} +(8.38686 - 3.26506i) q^{81} +(-22.5890 - 13.0418i) q^{82} +(-10.2545 - 2.74768i) q^{83} +(-9.36224 - 1.59732i) q^{84} +(8.71054 + 2.33398i) q^{85} +(18.4705 - 4.94916i) q^{86} +(-4.64554 + 10.1084i) q^{87} +(-5.80114 - 3.34929i) q^{88} +(0.0942637 - 0.351797i) q^{89} +(-23.5247 + 20.1885i) q^{90} +(3.55023 + 0.629178i) q^{91} +(25.6623 - 14.8161i) q^{92} +(-6.46321 - 17.4556i) q^{93} +5.99054 q^{94} +(-2.96869 - 5.14193i) q^{95} +(6.48184 - 37.9915i) q^{96} +(0.918904 + 0.918904i) q^{97} +(-2.64237 + 0.708020i) q^{98} +(1.90129 - 0.912399i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.708020 2.64237i −0.500646 1.86844i −0.495781 0.868448i \(-0.665118\pi\)
−0.00486484 0.999988i \(-0.501549\pi\)
\(3\) 0.160527 + 1.72460i 0.0926803 + 0.995696i
\(4\) −4.74876 + 2.74170i −2.37438 + 1.37085i
\(5\) 0.977651 + 3.64864i 0.437219 + 1.63172i 0.735700 + 0.677308i \(0.236853\pi\)
−0.298481 + 0.954416i \(0.596480\pi\)
\(6\) 4.44336 1.64522i 1.81399 0.671658i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) 6.73810 + 6.73810i 2.38228 + 2.38228i
\(9\) −2.94846 + 0.553689i −0.982821 + 0.184563i
\(10\) 8.94886 5.16663i 2.82988 1.63383i
\(11\) −0.679006 + 0.181939i −0.204728 + 0.0548567i −0.359726 0.933058i \(-0.617130\pi\)
0.154998 + 0.987915i \(0.450463\pi\)
\(12\) −5.49063 7.74958i −1.58501 2.23711i
\(13\) 2.06550 + 2.95529i 0.572866 + 0.819649i
\(14\) −2.36908 1.36779i −0.633164 0.365557i
\(15\) −6.13550 + 2.27176i −1.58418 + 0.586566i
\(16\) 7.55042 13.0777i 1.88761 3.26943i
\(17\) 1.19367 2.06750i 0.289507 0.501441i −0.684185 0.729309i \(-0.739842\pi\)
0.973692 + 0.227867i \(0.0731752\pi\)
\(18\) 3.55062 + 7.39890i 0.836889 + 1.74394i
\(19\) −1.51828 + 0.406822i −0.348317 + 0.0933313i −0.428736 0.903430i \(-0.641041\pi\)
0.0804188 + 0.996761i \(0.474374\pi\)
\(20\) −14.6461 14.6461i −3.27497 3.27497i
\(21\) 1.33298 + 1.10596i 0.290881 + 0.241341i
\(22\) 0.961500 + 1.66537i 0.204993 + 0.355058i
\(23\) −5.40400 −1.12681 −0.563406 0.826180i \(-0.690509\pi\)
−0.563406 + 0.826180i \(0.690509\pi\)
\(24\) −10.5388 + 12.7021i −2.15123 + 2.59281i
\(25\) −8.02667 + 4.63420i −1.60533 + 0.926840i
\(26\) 6.34654 7.55020i 1.24466 1.48072i
\(27\) −1.42820 4.99602i −0.274857 0.961485i
\(28\) −1.41921 + 5.29655i −0.268205 + 1.00095i
\(29\) 5.56240 + 3.21145i 1.03291 + 0.596352i 0.917817 0.397003i \(-0.129950\pi\)
0.115094 + 0.993355i \(0.463283\pi\)
\(30\) 10.3469 + 14.6038i 1.88907 + 2.66627i
\(31\) −10.3805 + 2.78144i −1.86439 + 0.499562i −0.999995 0.00325169i \(-0.998965\pi\)
−0.864395 + 0.502813i \(0.832298\pi\)
\(32\) −21.4932 5.75907i −3.79949 1.01807i
\(33\) −0.422770 1.14181i −0.0735949 0.198763i
\(34\) −6.30822 1.69028i −1.08185 0.289881i
\(35\) 3.27128 + 1.88868i 0.552948 + 0.319245i
\(36\) 12.4835 10.7131i 2.08058 1.78552i
\(37\) −1.52552 0.408761i −0.250794 0.0672000i 0.131232 0.991352i \(-0.458107\pi\)
−0.382026 + 0.924152i \(0.624773\pi\)
\(38\) 2.14994 + 3.72381i 0.348767 + 0.604082i
\(39\) −4.76511 + 4.03655i −0.763028 + 0.646365i
\(40\) −17.9974 + 31.1724i −2.84564 + 4.92879i
\(41\) 6.74222 6.74222i 1.05296 1.05296i 0.0544406 0.998517i \(-0.482662\pi\)
0.998517 0.0544406i \(-0.0173376\pi\)
\(42\) 1.97858 4.30528i 0.305302 0.664318i
\(43\) 6.99013i 1.06599i 0.846120 + 0.532993i \(0.178933\pi\)
−0.846120 + 0.532993i \(0.821067\pi\)
\(44\) 2.72562 2.72562i 0.410902 0.410902i
\(45\) −4.90278 10.2166i −0.730863 1.52300i
\(46\) 3.82614 + 14.2793i 0.564133 + 2.10537i
\(47\) −0.566777 + 2.11524i −0.0826730 + 0.308540i −0.994863 0.101227i \(-0.967723\pi\)
0.912190 + 0.409767i \(0.134390\pi\)
\(48\) 23.7658 + 10.9221i 3.43030 + 1.57647i
\(49\) 1.00000i 0.142857i
\(50\) 17.9283 + 17.9283i 2.53545 + 2.53545i
\(51\) 3.75721 + 1.72671i 0.526115 + 0.241787i
\(52\) −17.9111 8.37099i −2.48382 1.16085i
\(53\) 1.20651i 0.165727i 0.996561 + 0.0828637i \(0.0264066\pi\)
−0.996561 + 0.0828637i \(0.973593\pi\)
\(54\) −12.1901 + 7.31111i −1.65887 + 0.994916i
\(55\) −1.32766 2.29958i −0.179022 0.310075i
\(56\) 9.52911 1.27338
\(57\) −0.945328 2.55311i −0.125212 0.338168i
\(58\) 4.54755 16.9717i 0.597122 2.22849i
\(59\) −0.620649 + 2.31629i −0.0808016 + 0.301556i −0.994486 0.104868i \(-0.966558\pi\)
0.913684 + 0.406424i \(0.133225\pi\)
\(60\) 22.9075 27.6097i 2.95735 3.56440i
\(61\) −4.37510 −0.560174 −0.280087 0.959975i \(-0.590363\pi\)
−0.280087 + 0.959975i \(0.590363\pi\)
\(62\) 14.6992 + 25.4597i 1.86680 + 3.23339i
\(63\) −1.69336 + 2.47639i −0.213343 + 0.311996i
\(64\) 30.6687i 3.83358i
\(65\) −8.76346 + 10.4255i −1.08697 + 1.29312i
\(66\) −2.71774 + 1.92554i −0.334531 + 0.237017i
\(67\) 4.17731 + 4.17731i 0.510340 + 0.510340i 0.914630 0.404291i \(-0.132482\pi\)
−0.404291 + 0.914630i \(0.632482\pi\)
\(68\) 13.0907i 1.58748i
\(69\) −0.867488 9.31971i −0.104433 1.12196i
\(70\) 2.67444 9.98116i 0.319657 1.19298i
\(71\) −1.53924 5.74452i −0.182674 0.681750i −0.995116 0.0987079i \(-0.968529\pi\)
0.812442 0.583042i \(-0.198138\pi\)
\(72\) −23.5978 16.1362i −2.78103 1.90167i
\(73\) −3.15627 + 3.15627i −0.369413 + 0.369413i −0.867263 0.497850i \(-0.834123\pi\)
0.497850 + 0.867263i \(0.334123\pi\)
\(74\) 4.32039i 0.502235i
\(75\) −9.28062 13.0989i −1.07163 1.51253i
\(76\) 6.09456 6.09456i 0.699094 0.699094i
\(77\) −0.351480 + 0.608780i −0.0400548 + 0.0693770i
\(78\) 14.0398 + 9.73321i 1.58970 + 1.10207i
\(79\) 3.57649 + 6.19466i 0.402387 + 0.696954i 0.994013 0.109258i \(-0.0348474\pi\)
−0.591627 + 0.806212i \(0.701514\pi\)
\(80\) 55.0976 + 14.7634i 6.16010 + 1.65059i
\(81\) 8.38686 3.26506i 0.931873 0.362784i
\(82\) −22.5890 13.0418i −2.49454 1.44022i
\(83\) −10.2545 2.74768i −1.12558 0.301597i −0.352438 0.935835i \(-0.614647\pi\)
−0.773138 + 0.634238i \(0.781314\pi\)
\(84\) −9.36224 1.59732i −1.02150 0.174282i
\(85\) 8.71054 + 2.33398i 0.944791 + 0.253156i
\(86\) 18.4705 4.94916i 1.99173 0.533681i
\(87\) −4.64554 + 10.1084i −0.498054 + 1.08374i
\(88\) −5.80114 3.34929i −0.618403 0.357035i
\(89\) 0.0942637 0.351797i 0.00999194 0.0372904i −0.960750 0.277416i \(-0.910522\pi\)
0.970742 + 0.240126i \(0.0771886\pi\)
\(90\) −23.5247 + 20.1885i −2.47972 + 2.12805i
\(91\) 3.55023 + 0.629178i 0.372165 + 0.0659558i
\(92\) 25.6623 14.8161i 2.67548 1.54469i
\(93\) −6.46321 17.4556i −0.670204 1.81007i
\(94\) 5.99054 0.617877
\(95\) −2.96869 5.14193i −0.304582 0.527551i
\(96\) 6.48184 37.9915i 0.661550 3.87749i
\(97\) 0.918904 + 0.918904i 0.0933006 + 0.0933006i 0.752217 0.658916i \(-0.228985\pi\)
−0.658916 + 0.752217i \(0.728985\pi\)
\(98\) −2.64237 + 0.708020i −0.266919 + 0.0715208i
\(99\) 1.90129 0.912399i 0.191087 0.0916995i
\(100\) 25.4112 44.0134i 2.54112 4.40134i
\(101\) 7.40680 12.8290i 0.737004 1.27653i −0.216834 0.976209i \(-0.569573\pi\)
0.953838 0.300321i \(-0.0970937\pi\)
\(102\) 1.90241 11.1505i 0.188367 1.10406i
\(103\) −15.3772 8.87805i −1.51516 0.874780i −0.999842 0.0177834i \(-0.994339\pi\)
−0.515322 0.856997i \(-0.672328\pi\)
\(104\) −5.99550 + 33.8305i −0.587908 + 3.31736i
\(105\) −2.73207 + 5.94483i −0.266623 + 0.580156i
\(106\) 3.18805 0.854236i 0.309651 0.0829708i
\(107\) 4.20527 2.42792i 0.406539 0.234716i −0.282762 0.959190i \(-0.591251\pi\)
0.689302 + 0.724474i \(0.257917\pi\)
\(108\) 20.4798 + 19.8092i 1.97067 + 1.90614i
\(109\) −5.63598 5.63598i −0.539829 0.539829i 0.383650 0.923479i \(-0.374667\pi\)
−0.923479 + 0.383650i \(0.874667\pi\)
\(110\) −5.13632 + 5.13632i −0.489729 + 0.489729i
\(111\) 0.460061 2.69652i 0.0436671 0.255942i
\(112\) −3.90839 14.5863i −0.369308 1.37828i
\(113\) −5.95701 + 3.43928i −0.560388 + 0.323540i −0.753301 0.657676i \(-0.771540\pi\)
0.192913 + 0.981216i \(0.438206\pi\)
\(114\) −6.07695 + 4.30556i −0.569158 + 0.403252i
\(115\) −5.28322 19.7173i −0.492663 1.83864i
\(116\) −35.2193 −3.27003
\(117\) −7.72635 7.56991i −0.714301 0.699839i
\(118\) 6.55993 0.603891
\(119\) −0.617888 2.30599i −0.0566417 0.211390i
\(120\) −56.6489 26.0342i −5.17131 2.37659i
\(121\) −9.09833 + 5.25292i −0.827121 + 0.477539i
\(122\) 3.09766 + 11.5606i 0.280449 + 1.04665i
\(123\) 12.7099 + 10.5453i 1.14601 + 0.950837i
\(124\) 41.6686 41.6686i 3.74195 3.74195i
\(125\) −11.4009 11.4009i −1.01973 1.01973i
\(126\) 7.74248 + 2.72114i 0.689755 + 0.242419i
\(127\) −8.81320 + 5.08830i −0.782045 + 0.451514i −0.837155 0.546966i \(-0.815783\pi\)
0.0551094 + 0.998480i \(0.482449\pi\)
\(128\) 38.0515 10.1959i 3.36331 0.901197i
\(129\) −12.0552 + 1.12211i −1.06140 + 0.0987959i
\(130\) 33.7527 + 15.7748i 2.96031 + 1.38354i
\(131\) 16.2370 + 9.37443i 1.41863 + 0.819048i 0.996179 0.0873366i \(-0.0278356\pi\)
0.422454 + 0.906385i \(0.361169\pi\)
\(132\) 5.13812 + 4.26305i 0.447216 + 0.371051i
\(133\) −0.785919 + 1.36125i −0.0681478 + 0.118035i
\(134\) 8.08037 13.9956i 0.698037 1.20904i
\(135\) 16.8324 10.0954i 1.44871 0.868869i
\(136\) 21.9740 5.88793i 1.88426 0.504886i
\(137\) 11.8334 + 11.8334i 1.01100 + 1.01100i 0.999939 + 0.0110566i \(0.00351951\pi\)
0.0110566 + 0.999939i \(0.496480\pi\)
\(138\) −24.0119 + 8.89076i −2.04403 + 0.756832i
\(139\) 10.1729 + 17.6200i 0.862853 + 1.49450i 0.869164 + 0.494525i \(0.164658\pi\)
−0.00631072 + 0.999980i \(0.502009\pi\)
\(140\) −20.7127 −1.75055
\(141\) −3.73892 0.637908i −0.314874 0.0537216i
\(142\) −14.0893 + 8.13448i −1.18235 + 0.682630i
\(143\) −1.94017 1.63086i −0.162245 0.136380i
\(144\) −15.0212 + 42.7397i −1.25176 + 3.56164i
\(145\) −6.27936 + 23.4349i −0.521473 + 1.94616i
\(146\) 10.5747 + 6.10531i 0.875170 + 0.505279i
\(147\) 1.72460 0.160527i 0.142242 0.0132400i
\(148\) 8.36502 2.24140i 0.687601 0.184242i
\(149\) 6.02810 + 1.61522i 0.493841 + 0.132324i 0.497140 0.867670i \(-0.334383\pi\)
−0.00329905 + 0.999995i \(0.501050\pi\)
\(150\) −28.0411 + 33.7971i −2.28955 + 2.75952i
\(151\) 10.0393 + 2.69002i 0.816985 + 0.218910i 0.643028 0.765843i \(-0.277678\pi\)
0.173957 + 0.984753i \(0.444345\pi\)
\(152\) −12.9715 7.48911i −1.05213 0.607447i
\(153\) −2.37474 + 6.75685i −0.191986 + 0.546259i
\(154\) 1.85748 + 0.497709i 0.149680 + 0.0401066i
\(155\) −20.2970 35.1554i −1.63029 2.82375i
\(156\) 11.5614 32.2331i 0.925650 2.58071i
\(157\) 6.68718 11.5825i 0.533695 0.924387i −0.465530 0.885032i \(-0.654136\pi\)
0.999225 0.0393552i \(-0.0125304\pi\)
\(158\) 13.8363 13.8363i 1.10076 1.10076i
\(159\) −2.08075 + 0.193678i −0.165014 + 0.0153597i
\(160\) 84.0512i 6.64483i
\(161\) −3.82120 + 3.82120i −0.301153 + 0.301153i
\(162\) −14.5656 19.8494i −1.14438 1.55952i
\(163\) 4.23038 + 15.7880i 0.331349 + 1.23661i 0.907773 + 0.419461i \(0.137781\pi\)
−0.576424 + 0.817151i \(0.695552\pi\)
\(164\) −13.5321 + 50.5023i −1.05668 + 3.94357i
\(165\) 3.75272 2.65883i 0.292149 0.206989i
\(166\) 29.0415i 2.25406i
\(167\) 14.1063 + 14.1063i 1.09158 + 1.09158i 0.995361 + 0.0962154i \(0.0306738\pi\)
0.0962154 + 0.995361i \(0.469326\pi\)
\(168\) 1.52968 + 16.4339i 0.118017 + 1.26790i
\(169\) −4.46745 + 12.2083i −0.343650 + 0.939098i
\(170\) 24.6690i 1.89202i
\(171\) 4.25133 2.04015i 0.325108 0.156014i
\(172\) −19.1648 33.1945i −1.46131 2.53105i
\(173\) 7.65093 0.581689 0.290845 0.956770i \(-0.406064\pi\)
0.290845 + 0.956770i \(0.406064\pi\)
\(174\) 29.9993 + 5.11827i 2.27424 + 0.388015i
\(175\) −2.39884 + 8.95259i −0.181335 + 0.676752i
\(176\) −2.74744 + 10.2536i −0.207096 + 0.772892i
\(177\) −4.09430 0.698541i −0.307747 0.0525056i
\(178\) −0.996318 −0.0746772
\(179\) −1.17460 2.03447i −0.0877938 0.152063i 0.818785 0.574101i \(-0.194648\pi\)
−0.906578 + 0.422038i \(0.861315\pi\)
\(180\) 51.2929 + 35.0741i 3.82315 + 2.61427i
\(181\) 18.6087i 1.38317i 0.722295 + 0.691585i \(0.243087\pi\)
−0.722295 + 0.691585i \(0.756913\pi\)
\(182\) −0.851116 9.82648i −0.0630889 0.728387i
\(183\) −0.702321 7.54527i −0.0519171 0.557762i
\(184\) −36.4127 36.4127i −2.68438 2.68438i
\(185\) 5.96570i 0.438607i
\(186\) −41.5481 + 29.4371i −3.04646 + 2.15843i
\(187\) −0.434350 + 1.62102i −0.0317628 + 0.118541i
\(188\) −3.10787 11.5987i −0.226664 0.845923i
\(189\) −4.54261 2.52283i −0.330426 0.183509i
\(190\) −11.4850 + 11.4850i −0.833207 + 0.833207i
\(191\) 1.38113i 0.0999353i −0.998751 0.0499677i \(-0.984088\pi\)
0.998751 0.0499677i \(-0.0159118\pi\)
\(192\) −52.8910 + 4.92315i −3.81708 + 0.355298i
\(193\) 15.6242 15.6242i 1.12465 1.12465i 0.133623 0.991032i \(-0.457339\pi\)
0.991032 0.133623i \(-0.0426610\pi\)
\(194\) 1.77748 3.07868i 0.127616 0.221037i
\(195\) −19.3865 13.4398i −1.38830 0.962448i
\(196\) 2.74170 + 4.74876i 0.195836 + 0.339197i
\(197\) 9.69489 + 2.59774i 0.690733 + 0.185081i 0.587076 0.809532i \(-0.300279\pi\)
0.103657 + 0.994613i \(0.466946\pi\)
\(198\) −3.75704 4.37790i −0.267001 0.311124i
\(199\) −12.3134 7.10914i −0.872873 0.503954i −0.00457119 0.999990i \(-0.501455\pi\)
−0.868302 + 0.496036i \(0.834788\pi\)
\(200\) −85.3102 22.8588i −6.03234 1.61636i
\(201\) −6.53360 + 7.87474i −0.460845 + 0.555441i
\(202\) −39.1430 10.4883i −2.75409 0.737956i
\(203\) 6.20405 1.66237i 0.435439 0.116676i
\(204\) −22.5762 + 2.10141i −1.58065 + 0.147128i
\(205\) 31.1915 + 18.0084i 2.17851 + 1.25776i
\(206\) −12.5717 + 46.9181i −0.875910 + 3.26894i
\(207\) 15.9335 2.99213i 1.10745 0.207968i
\(208\) 54.2438 4.69830i 3.76113 0.325768i
\(209\) 0.956904 0.552469i 0.0661904 0.0382151i
\(210\) 17.6428 + 3.01009i 1.21747 + 0.207716i
\(211\) −10.5171 −0.724026 −0.362013 0.932173i \(-0.617910\pi\)
−0.362013 + 0.932173i \(0.617910\pi\)
\(212\) −3.30790 5.72945i −0.227187 0.393500i
\(213\) 9.65989 3.57672i 0.661885 0.245073i
\(214\) −9.39286 9.39286i −0.642083 0.642083i
\(215\) −25.5045 + 6.83391i −1.73939 + 0.466069i
\(216\) 24.0404 43.2870i 1.63574 2.94531i
\(217\) −5.37333 + 9.30689i −0.364766 + 0.631793i
\(218\) −10.9019 + 18.8827i −0.738373 + 1.27890i
\(219\) −5.94995 4.93662i −0.402060 0.333586i
\(220\) 12.6095 + 7.28010i 0.850133 + 0.490824i
\(221\) 8.57556 0.742768i 0.576855 0.0499640i
\(222\) −7.45093 + 0.693540i −0.500074 + 0.0465473i
\(223\) 4.74839 1.27233i 0.317976 0.0852014i −0.0963010 0.995352i \(-0.530701\pi\)
0.414277 + 0.910151i \(0.364034\pi\)
\(224\) −19.2702 + 11.1257i −1.28755 + 0.743365i
\(225\) 21.1004 18.1080i 1.40670 1.20720i
\(226\) 13.3055 + 13.3055i 0.885070 + 0.885070i
\(227\) 8.46144 8.46144i 0.561606 0.561606i −0.368158 0.929763i \(-0.620011\pi\)
0.929763 + 0.368158i \(0.120011\pi\)
\(228\) 11.4890 + 9.53231i 0.760877 + 0.631293i
\(229\) 1.02602 + 3.82918i 0.0678016 + 0.253039i 0.991505 0.130070i \(-0.0415201\pi\)
−0.923703 + 0.383109i \(0.874853\pi\)
\(230\) −48.3596 + 27.9204i −3.18874 + 1.84102i
\(231\) −1.10632 0.508434i −0.0727907 0.0334525i
\(232\) 15.8409 + 59.1191i 1.04001 + 3.88136i
\(233\) −7.18023 −0.470393 −0.235196 0.971948i \(-0.575573\pi\)
−0.235196 + 0.971948i \(0.575573\pi\)
\(234\) −14.5321 + 25.7755i −0.949992 + 1.68500i
\(235\) −8.27188 −0.539598
\(236\) −3.40327 12.7012i −0.221534 0.826775i
\(237\) −10.1092 + 7.16241i −0.656661 + 0.465249i
\(238\) −5.65580 + 3.26538i −0.366611 + 0.211663i
\(239\) 1.46899 + 5.48236i 0.0950212 + 0.354624i 0.997023 0.0771089i \(-0.0245689\pi\)
−0.902001 + 0.431733i \(0.857902\pi\)
\(240\) −16.6162 + 97.3910i −1.07257 + 6.28656i
\(241\) 12.8827 12.8827i 0.829846 0.829846i −0.157650 0.987495i \(-0.550392\pi\)
0.987495 + 0.157650i \(0.0503916\pi\)
\(242\) 20.3220 + 20.3220i 1.30634 + 1.30634i
\(243\) 6.97723 + 13.9398i 0.447589 + 0.894239i
\(244\) 20.7763 11.9952i 1.33007 0.767913i
\(245\) 3.64864 0.977651i 0.233103 0.0624598i
\(246\) 18.8657 41.0505i 1.20283 2.61729i
\(247\) −4.33827 3.64666i −0.276038 0.232032i
\(248\) −88.6863 51.2031i −5.63159 3.25140i
\(249\) 3.09252 18.1259i 0.195980 1.14868i
\(250\) −22.0532 + 38.1973i −1.39477 + 2.41581i
\(251\) −3.29737 + 5.71121i −0.208128 + 0.360489i −0.951125 0.308807i \(-0.900070\pi\)
0.742997 + 0.669295i \(0.233404\pi\)
\(252\) 1.25184 16.4025i 0.0788583 1.03326i
\(253\) 3.66935 0.983199i 0.230690 0.0618132i
\(254\) 19.6851 + 19.6851i 1.23515 + 1.23515i
\(255\) −2.62690 + 15.3968i −0.164503 + 0.964187i
\(256\) −23.2139 40.2076i −1.45087 2.51297i
\(257\) 2.74970 0.171522 0.0857609 0.996316i \(-0.472668\pi\)
0.0857609 + 0.996316i \(0.472668\pi\)
\(258\) 11.5003 + 31.0597i 0.715978 + 1.93369i
\(259\) −1.36774 + 0.789667i −0.0849874 + 0.0490675i
\(260\) 13.0320 73.5350i 0.808210 4.56044i
\(261\) −18.1787 6.38901i −1.12523 0.395470i
\(262\) 13.2746 49.5414i 0.820106 3.06068i
\(263\) −2.67711 1.54563i −0.165078 0.0953077i 0.415185 0.909737i \(-0.363717\pi\)
−0.580263 + 0.814429i \(0.697050\pi\)
\(264\) 4.84493 10.5423i 0.298185 0.648832i
\(265\) −4.40214 + 1.17955i −0.270421 + 0.0724592i
\(266\) 4.15337 + 1.11289i 0.254660 + 0.0682358i
\(267\) 0.621840 + 0.106094i 0.0380560 + 0.00649284i
\(268\) −31.2900 8.38412i −1.91134 0.512142i
\(269\) 3.85612 + 2.22633i 0.235112 + 0.135742i 0.612928 0.790139i \(-0.289992\pi\)
−0.377816 + 0.925881i \(0.623325\pi\)
\(270\) −38.5933 37.3298i −2.34872 2.27182i
\(271\) −18.0999 4.84985i −1.09949 0.294607i −0.336933 0.941529i \(-0.609389\pi\)
−0.762557 + 0.646922i \(0.776056\pi\)
\(272\) −18.0254 31.2209i −1.09295 1.89305i
\(273\) −0.515170 + 6.22371i −0.0311795 + 0.376676i
\(274\) 22.8899 39.6465i 1.38283 2.39513i
\(275\) 4.60702 4.60702i 0.277814 0.277814i
\(276\) 29.6713 + 41.8787i 1.78600 + 2.52080i
\(277\) 3.22819i 0.193963i 0.995286 + 0.0969816i \(0.0309188\pi\)
−0.995286 + 0.0969816i \(0.969081\pi\)
\(278\) 39.3558 39.3558i 2.36040 2.36040i
\(279\) 29.0664 13.9485i 1.74016 0.835077i
\(280\) 9.31615 + 34.7683i 0.556746 + 2.07781i
\(281\) 3.98072 14.8562i 0.237470 0.886249i −0.739550 0.673101i \(-0.764962\pi\)
0.977020 0.213148i \(-0.0683715\pi\)
\(282\) 0.961643 + 10.3313i 0.0572650 + 0.615217i
\(283\) 2.79863i 0.166361i −0.996534 0.0831806i \(-0.973492\pi\)
0.996534 0.0831806i \(-0.0265078\pi\)
\(284\) 23.0592 + 23.0592i 1.36831 + 1.36831i
\(285\) 8.39119 5.94522i 0.497051 0.352164i
\(286\) −2.93567 + 6.28132i −0.173590 + 0.371422i
\(287\) 9.53494i 0.562830i
\(288\) 66.5605 + 5.07989i 3.92211 + 0.299336i
\(289\) 5.65031 + 9.78662i 0.332371 + 0.575684i
\(290\) 66.3695 3.89735
\(291\) −1.43723 + 1.73225i −0.0842519 + 0.101546i
\(292\) 6.33482 23.6419i 0.370718 1.38354i
\(293\) 7.55867 28.2093i 0.441582 1.64801i −0.283223 0.959054i \(-0.591404\pi\)
0.724805 0.688954i \(-0.241930\pi\)
\(294\) −1.64522 4.44336i −0.0959512 0.259142i
\(295\) −9.05811 −0.527384
\(296\) −7.52482 13.0334i −0.437371 0.757549i
\(297\) 1.87873 + 3.13249i 0.109015 + 0.181765i
\(298\) 17.0721i 0.988958i
\(299\) −11.1619 15.9704i −0.645511 0.923590i
\(300\) 79.9846 + 36.7586i 4.61791 + 2.12226i
\(301\) 4.94277 + 4.94277i 0.284897 + 0.284897i
\(302\) 28.4320i 1.63608i
\(303\) 23.3138 + 10.7143i 1.33934 + 0.615523i
\(304\) −6.14335 + 22.9273i −0.352345 + 1.31497i
\(305\) −4.27732 15.9632i −0.244918 0.914048i
\(306\) 19.5354 + 1.49094i 1.11677 + 0.0852316i
\(307\) 12.1435 12.1435i 0.693066 0.693066i −0.269839 0.962905i \(-0.586971\pi\)
0.962905 + 0.269839i \(0.0869705\pi\)
\(308\) 3.85460i 0.219636i
\(309\) 12.8426 27.9447i 0.730589 1.58972i
\(310\) −78.5228 + 78.5228i −4.45980 + 4.45980i
\(311\) −0.239843 + 0.415420i −0.0136002 + 0.0235563i −0.872745 0.488176i \(-0.837663\pi\)
0.859145 + 0.511732i \(0.170996\pi\)
\(312\) −59.3064 4.90911i −3.35757 0.277923i
\(313\) 6.15942 + 10.6684i 0.348151 + 0.603015i 0.985921 0.167212i \(-0.0534764\pi\)
−0.637770 + 0.770227i \(0.720143\pi\)
\(314\) −35.3400 9.46932i −1.99435 0.534385i
\(315\) −10.6910 3.75742i −0.602369 0.211707i
\(316\) −33.9678 19.6113i −1.91084 1.10322i
\(317\) −17.0303 4.56327i −0.956519 0.256299i −0.253393 0.967363i \(-0.581547\pi\)
−0.703126 + 0.711065i \(0.748213\pi\)
\(318\) 1.98498 + 5.36098i 0.111312 + 0.300629i
\(319\) −4.36119 1.16858i −0.244180 0.0654278i
\(320\) −111.899 + 29.9832i −6.25534 + 1.67611i
\(321\) 4.86223 + 6.86265i 0.271383 + 0.383036i
\(322\) 12.8025 + 7.39153i 0.713456 + 0.411914i
\(323\) −0.971220 + 3.62464i −0.0540401 + 0.201681i
\(324\) −30.8754 + 38.4992i −1.71530 + 2.13885i
\(325\) −30.2745 14.1492i −1.67932 0.784857i
\(326\) 38.7225 22.3565i 2.14464 1.23821i
\(327\) 8.81506 10.6245i 0.487474 0.587537i
\(328\) 90.8595 5.01687
\(329\) 1.09493 + 1.89647i 0.0603654 + 0.104556i
\(330\) −9.68260 8.03356i −0.533009 0.442233i
\(331\) 4.69721 + 4.69721i 0.258182 + 0.258182i 0.824314 0.566132i \(-0.191561\pi\)
−0.566132 + 0.824314i \(0.691561\pi\)
\(332\) 56.2294 15.0666i 3.08599 0.826889i
\(333\) 4.72426 + 0.360555i 0.258888 + 0.0197583i
\(334\) 27.2864 47.2615i 1.49305 2.58603i
\(335\) −11.1576 + 19.3255i −0.609603 + 1.05586i
\(336\) 24.5281 9.08188i 1.33812 0.495457i
\(337\) 28.7065 + 16.5737i 1.56374 + 0.902826i 0.996873 + 0.0790172i \(0.0251782\pi\)
0.566868 + 0.823809i \(0.308155\pi\)
\(338\) 35.4218 + 3.16095i 1.92669 + 0.171933i
\(339\) −6.88763 9.72133i −0.374085 0.527990i
\(340\) −47.7634 + 12.7982i −2.59033 + 0.694078i
\(341\) 6.54236 3.77723i 0.354289 0.204549i
\(342\) −8.40086 9.78912i −0.454267 0.529335i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) −47.1002 + 47.1002i −2.53947 + 2.53947i
\(345\) 33.1562 12.2766i 1.78507 0.660949i
\(346\) −5.41701 20.2166i −0.291220 1.08685i
\(347\) −19.9377 + 11.5110i −1.07031 + 0.617943i −0.928266 0.371917i \(-0.878701\pi\)
−0.142043 + 0.989860i \(0.545367\pi\)
\(348\) −5.65366 60.7391i −0.303068 3.25596i
\(349\) −2.96939 11.0819i −0.158948 0.593201i −0.998735 0.0502854i \(-0.983987\pi\)
0.839787 0.542916i \(-0.182680\pi\)
\(350\) 25.3545 1.35525
\(351\) 11.8148 14.5400i 0.630625 0.776088i
\(352\) 15.6418 0.833710
\(353\) −0.599508 2.23740i −0.0319086 0.119085i 0.948135 0.317869i \(-0.102967\pi\)
−0.980043 + 0.198785i \(0.936301\pi\)
\(354\) 1.05305 + 11.3132i 0.0559688 + 0.601291i
\(355\) 19.4549 11.2323i 1.03256 0.596148i
\(356\) 0.516885 + 1.92904i 0.0273949 + 0.102239i
\(357\) 3.87771 1.43578i 0.205230 0.0759896i
\(358\) −4.54417 + 4.54417i −0.240167 + 0.240167i
\(359\) 17.5796 + 17.5796i 0.927817 + 0.927817i 0.997565 0.0697480i \(-0.0222195\pi\)
−0.0697480 + 0.997565i \(0.522220\pi\)
\(360\) 35.8049 101.876i 1.88708 5.36932i
\(361\) −14.3148 + 8.26466i −0.753411 + 0.434982i
\(362\) 49.1709 13.1753i 2.58437 0.692479i
\(363\) −10.5197 14.8477i −0.552141 0.779303i
\(364\) −18.5842 + 6.74585i −0.974077 + 0.353578i
\(365\) −14.6018 8.43036i −0.764294 0.441265i
\(366\) −19.4401 + 7.19799i −1.01615 + 0.376245i
\(367\) 2.02691 3.51071i 0.105804 0.183258i −0.808263 0.588822i \(-0.799592\pi\)
0.914066 + 0.405565i \(0.132925\pi\)
\(368\) −40.8025 + 70.6719i −2.12698 + 3.68403i
\(369\) −16.1461 + 23.6123i −0.840532 + 1.22921i
\(370\) −15.7636 + 4.22384i −0.819509 + 0.219587i
\(371\) 0.853134 + 0.853134i 0.0442925 + 0.0442925i
\(372\) 78.5504 + 65.1725i 4.07265 + 3.37904i
\(373\) 13.6102 + 23.5735i 0.704707 + 1.22059i 0.966797 + 0.255545i \(0.0822548\pi\)
−0.262090 + 0.965043i \(0.584412\pi\)
\(374\) 4.59085 0.237387
\(375\) 17.8318 21.4921i 0.920828 1.10984i
\(376\) −18.0717 + 10.4337i −0.931977 + 0.538077i
\(377\) 1.99835 + 23.0717i 0.102920 + 1.18825i
\(378\) −3.45000 + 13.7895i −0.177449 + 0.709253i
\(379\) −1.98792 + 7.41903i −0.102113 + 0.381090i −0.998002 0.0631884i \(-0.979873\pi\)
0.895889 + 0.444278i \(0.146540\pi\)
\(380\) 28.1952 + 16.2785i 1.44639 + 0.835071i
\(381\) −10.1900 14.3824i −0.522051 0.736833i
\(382\) −3.64946 + 0.977871i −0.186723 + 0.0500322i
\(383\) 0.914556 + 0.245055i 0.0467316 + 0.0125217i 0.282109 0.959382i \(-0.408966\pi\)
−0.235377 + 0.971904i \(0.575633\pi\)
\(384\) 23.6921 + 63.9868i 1.20903 + 3.26531i
\(385\) −2.56485 0.687249i −0.130717 0.0350254i
\(386\) −52.3471 30.2226i −2.66440 1.53829i
\(387\) −3.87036 20.6101i −0.196741 1.04767i
\(388\) −6.88301 1.84430i −0.349432 0.0936300i
\(389\) 16.1169 + 27.9152i 0.817158 + 1.41536i 0.907768 + 0.419472i \(0.137785\pi\)
−0.0906102 + 0.995886i \(0.528882\pi\)
\(390\) −21.7870 + 60.7421i −1.10323 + 3.07579i
\(391\) −6.45058 + 11.1727i −0.326220 + 0.565030i
\(392\) 6.73810 6.73810i 0.340325 0.340325i
\(393\) −13.5606 + 29.5071i −0.684043 + 1.48844i
\(394\) 27.4567i 1.38325i
\(395\) −19.1056 + 19.1056i −0.961305 + 0.961305i
\(396\) −6.52723 + 9.54552i −0.328006 + 0.479680i
\(397\) −3.20826 11.9734i −0.161018 0.600928i −0.998515 0.0544850i \(-0.982648\pi\)
0.837496 0.546443i \(-0.184018\pi\)
\(398\) −10.0668 + 37.5699i −0.504605 + 1.88321i
\(399\) −2.47377 1.13687i −0.123843 0.0569149i
\(400\) 139.961i 6.99804i
\(401\) 0.889692 + 0.889692i 0.0444291 + 0.0444291i 0.728972 0.684543i \(-0.239998\pi\)
−0.684543 + 0.728972i \(0.739998\pi\)
\(402\) 25.4339 + 11.6887i 1.26853 + 0.582979i
\(403\) −29.6608 24.9323i −1.47751 1.24196i
\(404\) 81.2289i 4.04129i
\(405\) 20.1125 + 27.4086i 0.999396 + 1.36194i
\(406\) −8.78519 15.2164i −0.436001 0.755177i
\(407\) 1.11021 0.0550309
\(408\) 13.6817 + 36.9512i 0.677346 + 1.82936i
\(409\) −3.29224 + 12.2868i −0.162791 + 0.607544i 0.835521 + 0.549459i \(0.185166\pi\)
−0.998312 + 0.0580852i \(0.981500\pi\)
\(410\) 25.5006 95.1697i 1.25939 4.70010i
\(411\) −18.5083 + 22.3074i −0.912945 + 1.10034i
\(412\) 97.3637 4.79677
\(413\) 1.19900 + 2.07673i 0.0589990 + 0.102189i
\(414\) −19.1875 39.9836i −0.943016 1.96509i
\(415\) 40.1013i 1.96849i
\(416\) −27.3743 75.4138i −1.34214 3.69747i
\(417\) −28.7543 + 20.3726i −1.40810 + 0.997650i
\(418\) −2.13733 2.13733i −0.104540 0.104540i
\(419\) 27.9666i 1.36626i −0.730297 0.683130i \(-0.760618\pi\)
0.730297 0.683130i \(-0.239382\pi\)
\(420\) −3.32495 35.7211i −0.162241 1.74301i
\(421\) −5.99285 + 22.3656i −0.292074 + 1.09003i 0.651440 + 0.758700i \(0.274165\pi\)
−0.943514 + 0.331334i \(0.892501\pi\)
\(422\) 7.44631 + 27.7900i 0.362481 + 1.35280i
\(423\) 0.499936 6.55053i 0.0243077 0.318498i
\(424\) −8.12961 + 8.12961i −0.394809 + 0.394809i
\(425\) 22.1268i 1.07331i
\(426\) −16.2904 22.9926i −0.789273 1.11399i
\(427\) −3.09366 + 3.09366i −0.149713 + 0.149713i
\(428\) −13.3132 + 23.0592i −0.643519 + 1.11461i
\(429\) 2.50113 3.60780i 0.120756 0.174186i
\(430\) 36.1154 + 62.5537i 1.74164 + 3.01661i
\(431\) −18.6312 4.99221i −0.897433 0.240466i −0.219519 0.975608i \(-0.570449\pi\)
−0.677913 + 0.735142i \(0.737116\pi\)
\(432\) −76.1201 19.0445i −3.66233 0.916281i
\(433\) 17.4891 + 10.0973i 0.840471 + 0.485246i 0.857424 0.514610i \(-0.172063\pi\)
−0.0169534 + 0.999856i \(0.505397\pi\)
\(434\) 28.3966 + 7.60886i 1.36308 + 0.365237i
\(435\) −41.4237 7.06743i −1.98612 0.338857i
\(436\) 42.2161 + 11.3118i 2.02178 + 0.541735i
\(437\) 8.20477 2.19846i 0.392488 0.105167i
\(438\) −8.83167 + 19.2172i −0.421994 + 0.918232i
\(439\) −10.4036 6.00650i −0.496535 0.286674i 0.230747 0.973014i \(-0.425883\pi\)
−0.727281 + 0.686339i \(0.759216\pi\)
\(440\) 6.54887 24.4407i 0.312205 1.16517i
\(441\) 0.553689 + 2.94846i 0.0263661 + 0.140403i
\(442\) −8.03434 22.1339i −0.382154 1.05280i
\(443\) −16.2883 + 9.40406i −0.773881 + 0.446800i −0.834257 0.551376i \(-0.814103\pi\)
0.0603766 + 0.998176i \(0.480770\pi\)
\(444\) 5.20832 + 14.0665i 0.247176 + 0.667566i
\(445\) 1.37574 0.0652163
\(446\) −6.72392 11.6462i −0.318387 0.551462i
\(447\) −1.81794 + 10.6553i −0.0859854 + 0.503979i
\(448\) 21.6860 + 21.6860i 1.02457 + 1.02457i
\(449\) −3.14327 + 0.842238i −0.148340 + 0.0397477i −0.332225 0.943200i \(-0.607799\pi\)
0.183885 + 0.982948i \(0.441133\pi\)
\(450\) −62.7876 42.9342i −2.95984 2.02394i
\(451\) −3.35134 + 5.80468i −0.157808 + 0.273332i
\(452\) 18.8589 32.6646i 0.887050 1.53642i
\(453\) −3.02761 + 17.7455i −0.142250 + 0.833757i
\(454\) −28.3491 16.3674i −1.33049 0.768159i
\(455\) 1.17524 + 13.5686i 0.0550961 + 0.636108i
\(456\) 10.8334 23.5728i 0.507321 1.10390i
\(457\) 38.2402 10.2464i 1.78880 0.479308i 0.796659 0.604429i \(-0.206599\pi\)
0.992141 + 0.125121i \(0.0399320\pi\)
\(458\) 9.39164 5.42227i 0.438843 0.253366i
\(459\) −12.0340 3.01081i −0.561701 0.140532i
\(460\) 79.1475 + 79.1475i 3.69027 + 3.69027i
\(461\) −8.56819 + 8.56819i −0.399060 + 0.399060i −0.877902 0.478841i \(-0.841057\pi\)
0.478841 + 0.877902i \(0.341057\pi\)
\(462\) −0.560172 + 3.28329i −0.0260616 + 0.152753i
\(463\) −9.67281 36.0994i −0.449534 1.67768i −0.703680 0.710517i \(-0.748461\pi\)
0.254147 0.967166i \(-0.418205\pi\)
\(464\) 83.9969 48.4957i 3.89946 2.25135i
\(465\) 57.3707 40.6475i 2.66050 1.88498i
\(466\) 5.08375 + 18.9728i 0.235500 + 0.878899i
\(467\) 27.6646 1.28016 0.640082 0.768307i \(-0.278901\pi\)
0.640082 + 0.768307i \(0.278901\pi\)
\(468\) 57.4450 + 14.7644i 2.65540 + 0.682484i
\(469\) 5.90761 0.272788
\(470\) 5.85666 + 21.8573i 0.270147 + 1.00820i
\(471\) 21.0487 + 9.67338i 0.969872 + 0.445726i
\(472\) −19.7894 + 11.4254i −0.910881 + 0.525898i
\(473\) −1.27178 4.74635i −0.0584765 0.218237i
\(474\) 26.0832 + 21.6410i 1.19804 + 0.994004i
\(475\) 10.3014 10.3014i 0.472662 0.472662i
\(476\) 9.25654 + 9.25654i 0.424273 + 0.424273i
\(477\) −0.668033 3.55736i −0.0305871 0.162880i
\(478\) 13.4463 7.76324i 0.615020 0.355082i
\(479\) 27.7921 7.44686i 1.26985 0.340256i 0.439878 0.898058i \(-0.355022\pi\)
0.829974 + 0.557802i \(0.188355\pi\)
\(480\) 144.954 13.4925i 6.61623 0.615845i
\(481\) −1.94294 5.35264i −0.0885907 0.244059i
\(482\) −43.1619 24.9195i −1.96597 1.13505i
\(483\) −7.20344 5.97662i −0.327768 0.271946i
\(484\) 28.8039 49.8898i 1.30927 2.26772i
\(485\) −2.45439 + 4.25112i −0.111448 + 0.193033i
\(486\) 31.8941 28.3061i 1.44674 1.28399i
\(487\) 36.3509 9.74018i 1.64721 0.441370i 0.688384 0.725347i \(-0.258321\pi\)
0.958831 + 0.283977i \(0.0916540\pi\)
\(488\) −29.4798 29.4798i −1.33449 1.33449i
\(489\) −26.5488 + 9.83010i −1.20058 + 0.444533i
\(490\) −5.16663 8.94886i −0.233404 0.404268i
\(491\) −7.67459 −0.346349 −0.173175 0.984891i \(-0.555402\pi\)
−0.173175 + 0.984891i \(0.555402\pi\)
\(492\) −89.2683 15.2303i −4.02453 0.686637i
\(493\) 13.2793 7.66682i 0.598071 0.345296i
\(494\) −6.56424 + 14.0452i −0.295339 + 0.631924i
\(495\) 5.18781 + 6.04511i 0.233175 + 0.271708i
\(496\) −42.0021 + 156.754i −1.88595 + 7.03847i
\(497\) −5.15040 2.97358i −0.231027 0.133384i
\(498\) −50.0849 + 4.66195i −2.24436 + 0.208907i
\(499\) 18.7746 5.03063i 0.840465 0.225202i 0.187191 0.982324i \(-0.440062\pi\)
0.653274 + 0.757122i \(0.273395\pi\)
\(500\) 85.3978 + 22.8823i 3.81911 + 1.02333i
\(501\) −22.0632 + 26.5921i −0.985710 + 1.18805i
\(502\) 17.4257 + 4.66921i 0.777748 + 0.208397i
\(503\) −5.30495 3.06281i −0.236536 0.136564i 0.377048 0.926194i \(-0.376939\pi\)
−0.613584 + 0.789630i \(0.710273\pi\)
\(504\) −28.0962 + 5.27616i −1.25151 + 0.235019i
\(505\) 54.0496 + 14.4825i 2.40517 + 0.644465i
\(506\) −5.19595 8.99964i −0.230988 0.400083i
\(507\) −21.7715 5.74479i −0.966905 0.255135i
\(508\) 27.9012 48.3263i 1.23792 2.14413i
\(509\) −18.1227 + 18.1227i −0.803277 + 0.803277i −0.983606 0.180330i \(-0.942284\pi\)
0.180330 + 0.983606i \(0.442284\pi\)
\(510\) 42.5440 3.96004i 1.88388 0.175353i
\(511\) 4.46363i 0.197460i
\(512\) −34.0960 + 34.0960i −1.50684 + 1.50684i
\(513\) 4.20089 + 7.00434i 0.185474 + 0.309249i
\(514\) −1.94685 7.26573i −0.0858717 0.320477i
\(515\) 17.3593 64.7857i 0.764941 2.85480i
\(516\) 54.1706 38.3802i 2.38473 1.68959i
\(517\) 1.53938i 0.0677019i
\(518\) 3.05498 + 3.05498i 0.134228 + 0.134228i
\(519\) 1.22818 + 13.1948i 0.0539112 + 0.579186i
\(520\) −129.297 + 11.1990i −5.67005 + 0.491109i
\(521\) 19.6433i 0.860589i 0.902688 + 0.430295i \(0.141590\pi\)
−0.902688 + 0.430295i \(0.858410\pi\)
\(522\) −4.01125 + 52.5583i −0.175567 + 2.30041i
\(523\) −10.5402 18.2562i −0.460891 0.798286i 0.538115 0.842872i \(-0.319137\pi\)
−0.999006 + 0.0445852i \(0.985803\pi\)
\(524\) −102.807 −4.49116
\(525\) −15.8247 2.69990i −0.690646 0.117833i
\(526\) −2.18867 + 8.16825i −0.0954308 + 0.356152i
\(527\) −6.64024 + 24.7817i −0.289253 + 1.07951i
\(528\) −18.1243 3.09224i −0.788759 0.134573i
\(529\) 6.20318 0.269704
\(530\) 6.23361 + 10.7969i 0.270771 + 0.468989i
\(531\) 0.547455 7.17315i 0.0237575 0.311288i
\(532\) 8.61901i 0.373681i
\(533\) 33.8512 + 5.99917i 1.46626 + 0.259853i
\(534\) −0.159936 1.71825i −0.00692110 0.0743557i
\(535\) 12.9699 + 12.9699i 0.560737 + 0.560737i
\(536\) 56.2942i 2.43154i
\(537\) 3.32008 2.35230i 0.143272 0.101509i
\(538\) 3.15258 11.7656i 0.135917 0.507250i
\(539\) 0.181939 + 0.679006i 0.00783668 + 0.0292469i
\(540\) −52.2548 + 94.0899i −2.24869 + 4.04898i
\(541\) −14.2539 + 14.2539i −0.612825 + 0.612825i −0.943681 0.330856i \(-0.892662\pi\)
0.330856 + 0.943681i \(0.392662\pi\)
\(542\) 51.2603i 2.20182i
\(543\) −32.0924 + 2.98719i −1.37722 + 0.128193i
\(544\) −37.5626 + 37.5626i −1.61048 + 1.61048i
\(545\) 15.0537 26.0737i 0.644828 1.11687i
\(546\) 16.8101 3.04525i 0.719405 0.130325i
\(547\) −5.49890 9.52437i −0.235116 0.407233i 0.724190 0.689600i \(-0.242214\pi\)
−0.959306 + 0.282367i \(0.908880\pi\)
\(548\) −88.6376 23.7504i −3.78641 1.01457i
\(549\) 12.8998 2.42244i 0.550550 0.103387i
\(550\) −15.4353 8.91157i −0.658163 0.379991i
\(551\) −9.75176 2.61298i −0.415439 0.111317i
\(552\) 56.9519 68.6423i 2.42403 2.92161i
\(553\) 6.90925 + 1.85133i 0.293811 + 0.0787265i
\(554\) 8.53006 2.28562i 0.362408 0.0971068i
\(555\) 10.2884 0.957656i 0.436719 0.0406503i
\(556\) −96.6172 55.7820i −4.09748 2.36568i
\(557\) −5.05658 + 18.8714i −0.214254 + 0.799607i 0.772174 + 0.635412i \(0.219170\pi\)
−0.986428 + 0.164196i \(0.947497\pi\)
\(558\) −57.4367 66.9283i −2.43149 2.83330i
\(559\) −20.6579 + 14.4381i −0.873734 + 0.610666i
\(560\) 49.3992 28.5206i 2.08750 1.20522i
\(561\) −2.86532 0.488862i −0.120974 0.0206398i
\(562\) −42.0741 −1.77479
\(563\) 8.37041 + 14.4980i 0.352771 + 0.611017i 0.986734 0.162347i \(-0.0519063\pi\)
−0.633963 + 0.773363i \(0.718573\pi\)
\(564\) 19.5042 7.22172i 0.821275 0.304089i
\(565\) −18.3726 18.3726i −0.772940 0.772940i
\(566\) −7.39501 + 1.98149i −0.310835 + 0.0832881i
\(567\) 3.62166 8.23915i 0.152095 0.346012i
\(568\) 28.3356 49.0787i 1.18894 2.05930i
\(569\) 3.85597 6.67873i 0.161651 0.279987i −0.773810 0.633418i \(-0.781652\pi\)
0.935461 + 0.353431i \(0.114985\pi\)
\(570\) −21.6506 17.9633i −0.906843 0.752399i
\(571\) 13.6260 + 7.86697i 0.570230 + 0.329223i 0.757241 0.653135i \(-0.226547\pi\)
−0.187011 + 0.982358i \(0.559880\pi\)
\(572\) 13.6847 + 2.42523i 0.572187 + 0.101404i
\(573\) 2.38190 0.221709i 0.0995052 0.00926204i
\(574\) −25.1948 + 6.75093i −1.05161 + 0.281778i
\(575\) 43.3761 25.0432i 1.80891 1.04437i
\(576\) −16.9809 90.4254i −0.707537 3.76772i
\(577\) 0.276174 + 0.276174i 0.0114973 + 0.0114973i 0.712832 0.701335i \(-0.247412\pi\)
−0.701335 + 0.712832i \(0.747412\pi\)
\(578\) 21.8593 21.8593i 0.909228 0.909228i
\(579\) 29.4536 + 24.4373i 1.22405 + 1.01558i
\(580\) −34.4322 128.503i −1.42972 5.33579i
\(581\) −9.19392 + 5.30811i −0.381428 + 0.220218i
\(582\) 5.59482 + 2.57122i 0.231913 + 0.106581i
\(583\) −0.219512 0.819231i −0.00909127 0.0339291i
\(584\) −42.5345 −1.76009
\(585\) 20.0662 35.5914i 0.829637 1.47152i
\(586\) −79.8911 −3.30027
\(587\) 0.601024 + 2.24305i 0.0248069 + 0.0925806i 0.977219 0.212231i \(-0.0680730\pi\)
−0.952413 + 0.304812i \(0.901406\pi\)
\(588\) −7.74958 + 5.49063i −0.319587 + 0.226430i
\(589\) 14.6289 8.44601i 0.602774 0.348012i
\(590\) 6.41332 + 23.9349i 0.264032 + 0.985382i
\(591\) −2.92376 + 17.1368i −0.120267 + 0.704913i
\(592\) −16.8640 + 16.8640i −0.693105 + 0.693105i
\(593\) 19.4500 + 19.4500i 0.798715 + 0.798715i 0.982893 0.184178i \(-0.0589622\pi\)
−0.184178 + 0.982893i \(0.558962\pi\)
\(594\) 6.94700 7.18215i 0.285039 0.294687i
\(595\) 7.80966 4.50891i 0.320165 0.184847i
\(596\) −33.0545 + 8.85692i −1.35396 + 0.362793i
\(597\) 10.2838 22.3768i 0.420886 0.915823i
\(598\) −34.2967 + 40.8013i −1.40250 + 1.66849i
\(599\) 29.9112 + 17.2693i 1.22214 + 0.705603i 0.965374 0.260870i \(-0.0840095\pi\)
0.256766 + 0.966473i \(0.417343\pi\)
\(600\) 25.7276 150.795i 1.05032 6.15618i
\(601\) −14.0149 + 24.2745i −0.571678 + 0.990176i 0.424716 + 0.905327i \(0.360374\pi\)
−0.996394 + 0.0848489i \(0.972959\pi\)
\(602\) 9.56103 16.5602i 0.389679 0.674943i
\(603\) −14.6296 10.0037i −0.595762 0.407383i
\(604\) −55.0493 + 14.7504i −2.23993 + 0.600186i
\(605\) −28.0610 28.0610i −1.14084 1.14084i
\(606\) 11.8046 69.1895i 0.479530 2.81063i
\(607\) 2.95070 + 5.11076i 0.119765 + 0.207439i 0.919675 0.392681i \(-0.128452\pi\)
−0.799909 + 0.600121i \(0.795119\pi\)
\(608\) 34.9755 1.41844
\(609\) 3.86284 + 10.4326i 0.156530 + 0.422751i
\(610\) −39.1521 + 22.6045i −1.58522 + 0.915229i
\(611\) −7.42183 + 2.69403i −0.300255 + 0.108989i
\(612\) −7.24818 38.5975i −0.292990 1.56021i
\(613\) −1.24896 + 4.66119i −0.0504451 + 0.188264i −0.986551 0.163455i \(-0.947736\pi\)
0.936106 + 0.351719i \(0.114403\pi\)
\(614\) −40.6854 23.4897i −1.64193 0.947969i
\(615\) −26.0502 + 56.6836i −1.05044 + 2.28570i
\(616\) −6.47033 + 1.73372i −0.260697 + 0.0698535i
\(617\) −7.13205 1.91103i −0.287125 0.0769350i 0.112382 0.993665i \(-0.464152\pi\)
−0.399507 + 0.916730i \(0.630819\pi\)
\(618\) −82.9329 14.1494i −3.33605 0.569174i
\(619\) −20.8380 5.58351i −0.837548 0.224420i −0.185544 0.982636i \(-0.559405\pi\)
−0.652004 + 0.758216i \(0.726071\pi\)
\(620\) 192.771 + 111.296i 7.74187 + 4.46977i
\(621\) 7.71797 + 26.9985i 0.309712 + 1.08341i
\(622\) 1.26751 + 0.339627i 0.0508223 + 0.0136178i
\(623\) −0.182104 0.315413i −0.00729582 0.0126367i
\(624\) 16.8103 + 92.7944i 0.672949 + 3.71475i
\(625\) 7.28064 12.6104i 0.291226 0.504418i
\(626\) 23.8289 23.8289i 0.952395 0.952395i
\(627\) 1.10639 + 1.56159i 0.0441851 + 0.0623638i
\(628\) 73.3369i 2.92646i
\(629\) −2.66608 + 2.66608i −0.106303 + 0.106303i
\(630\) −2.35904 + 30.9099i −0.0939864 + 1.23148i
\(631\) −11.4840 42.8589i −0.457171 1.70619i −0.681625 0.731701i \(-0.738727\pi\)
0.224454 0.974485i \(-0.427940\pi\)
\(632\) −17.6415 + 65.8390i −0.701741 + 2.61893i
\(633\) −1.68828 18.1377i −0.0671030 0.720910i
\(634\) 48.2313i 1.91551i
\(635\) −27.1816 27.1816i −1.07867 1.07867i
\(636\) 9.34998 6.62452i 0.370751 0.262679i
\(637\) 2.95529 2.06550i 0.117093 0.0818379i
\(638\) 12.3513i 0.488991i
\(639\) 7.71907 + 16.0853i 0.305362 + 0.636323i
\(640\) 74.4023 + 128.868i 2.94101 + 5.09397i
\(641\) 0.316437 0.0124985 0.00624925 0.999980i \(-0.498011\pi\)
0.00624925 + 0.999980i \(0.498011\pi\)
\(642\) 14.6911 17.7067i 0.579811 0.698828i
\(643\) 2.81716 10.5138i 0.111098 0.414623i −0.887868 0.460099i \(-0.847814\pi\)
0.998965 + 0.0454763i \(0.0144806\pi\)
\(644\) 7.66939 28.6226i 0.302216 1.12789i
\(645\) −15.8799 42.8879i −0.625271 1.68871i
\(646\) 10.2653 0.403882
\(647\) 1.93256 + 3.34729i 0.0759768 + 0.131596i 0.901511 0.432757i \(-0.142459\pi\)
−0.825534 + 0.564353i \(0.809126\pi\)
\(648\) 78.5118 + 34.5112i 3.08423 + 1.35573i
\(649\) 1.68570i 0.0661695i
\(650\) −15.9525 + 90.0142i −0.625707 + 3.53065i
\(651\) −16.9132 7.77282i −0.662880 0.304641i
\(652\) −63.3750 63.3750i −2.48196 2.48196i
\(653\) 0.877160i 0.0343259i 0.999853 + 0.0171630i \(0.00546341\pi\)
−0.999853 + 0.0171630i \(0.994537\pi\)
\(654\) −34.3151 15.7703i −1.34183 0.616666i
\(655\) −18.3298 + 68.4079i −0.716206 + 2.67292i
\(656\) −37.2662 139.079i −1.45500 5.43014i
\(657\) 7.55854 11.0537i 0.294887 0.431247i
\(658\) 4.23595 4.23595i 0.165134 0.165134i
\(659\) 0.842461i 0.0328176i −0.999865 0.0164088i \(-0.994777\pi\)
0.999865 0.0164088i \(-0.00522332\pi\)
\(660\) −10.5311 + 22.9150i −0.409921 + 0.891963i
\(661\) 29.9372 29.9372i 1.16442 1.16442i 0.180924 0.983497i \(-0.442091\pi\)
0.983497 0.180924i \(-0.0579087\pi\)
\(662\) 9.08603 15.7375i 0.353139 0.611654i
\(663\) 2.65758 + 14.6701i 0.103212 + 0.569741i
\(664\) −50.5816 87.6099i −1.96295 3.39992i
\(665\) −5.73508 1.53671i −0.222397 0.0595910i
\(666\) −2.39215 12.7385i −0.0926940 0.493607i
\(667\) −30.0592 17.3547i −1.16390 0.671976i
\(668\) −105.662 28.3122i −4.08820 1.09543i
\(669\) 2.95650 + 7.98482i 0.114305 + 0.308711i
\(670\) 58.9647 + 15.7996i 2.27801 + 0.610390i
\(671\) 2.97072 0.796001i 0.114683 0.0307293i
\(672\) −22.2807 31.4474i −0.859496 1.21311i
\(673\) −1.45635 0.840824i −0.0561382 0.0324114i 0.471668 0.881776i \(-0.343652\pi\)
−0.527806 + 0.849365i \(0.676985\pi\)
\(674\) 23.4690 87.5875i 0.903992 3.37375i
\(675\) 34.6163 + 33.4829i 1.33238 + 1.28876i
\(676\) −12.2565 70.2226i −0.471405 2.70087i
\(677\) 25.1404 14.5148i 0.966222 0.557849i 0.0681398 0.997676i \(-0.478294\pi\)
0.898082 + 0.439827i \(0.144960\pi\)
\(678\) −20.8108 + 25.0825i −0.799232 + 0.963289i
\(679\) 1.29953 0.0498712
\(680\) 42.9659 + 74.4191i 1.64767 + 2.85384i
\(681\) 15.9509 + 13.2343i 0.611238 + 0.507139i
\(682\) −14.6130 14.6130i −0.559559 0.559559i
\(683\) −17.7934 + 4.76772i −0.680844 + 0.182432i −0.582635 0.812734i \(-0.697978\pi\)
−0.0982093 + 0.995166i \(0.531311\pi\)
\(684\) −14.5951 + 21.3441i −0.558057 + 0.816111i
\(685\) −31.6069 + 54.7448i −1.20764 + 2.09169i
\(686\) −1.36779 + 2.36908i −0.0522225 + 0.0904520i
\(687\) −6.43908 + 2.38416i −0.245666 + 0.0909615i
\(688\) 91.4150 + 52.7785i 3.48516 + 2.01216i
\(689\) −3.56560 + 2.49205i −0.135838 + 0.0949396i
\(690\) −55.9145 78.9188i −2.12863 3.00439i
\(691\) 35.7122 9.56904i 1.35855 0.364024i 0.495269 0.868740i \(-0.335069\pi\)
0.863285 + 0.504716i \(0.168403\pi\)
\(692\) −36.3324 + 20.9765i −1.38115 + 0.797408i
\(693\) 0.699249 1.98958i 0.0265623 0.0755778i
\(694\) 44.5326 + 44.5326i 1.69043 + 1.69043i
\(695\) −54.3434 + 54.3434i −2.06136 + 2.06136i
\(696\) −99.4136 + 36.8094i −3.76826 + 1.39526i
\(697\) −5.89153 21.9875i −0.223158 0.832835i
\(698\) −27.1801 + 15.6924i −1.02878 + 0.593967i
\(699\) −1.15262 12.3830i −0.0435962 0.468368i
\(700\) −13.1538 49.0906i −0.497166 1.85545i
\(701\) −12.8606 −0.485736 −0.242868 0.970059i \(-0.578088\pi\)
−0.242868 + 0.970059i \(0.578088\pi\)
\(702\) −46.7851 20.9243i −1.76579 0.789737i
\(703\) 2.48246 0.0936276
\(704\) −5.57983 20.8242i −0.210298 0.784842i
\(705\) −1.32786 14.2656i −0.0500101 0.537275i
\(706\) −5.48756 + 3.16824i −0.206527 + 0.119238i
\(707\) −3.83404 14.3088i −0.144194 0.538140i
\(708\) 21.3581 7.90814i 0.802685 0.297206i
\(709\) −19.7345 + 19.7345i −0.741143 + 0.741143i −0.972798 0.231655i \(-0.925586\pi\)
0.231655 + 0.972798i \(0.425586\pi\)
\(710\) −43.4543 43.4543i −1.63081 1.63081i
\(711\) −13.9751 16.2845i −0.524106 0.610715i
\(712\) 3.00560 1.73528i 0.112640 0.0650325i
\(713\) 56.0961 15.0309i 2.10082 0.562912i
\(714\) −6.53936 9.22978i −0.244730 0.345416i
\(715\) 4.05364 8.67340i 0.151597 0.324367i
\(716\) 11.1558 + 6.44080i 0.416912 + 0.240704i
\(717\) −9.21904 + 3.41349i −0.344291 + 0.127479i
\(718\) 34.0051 58.8985i 1.26906 2.19807i
\(719\) −22.0060 + 38.1154i −0.820684 + 1.42147i 0.0844901 + 0.996424i \(0.473074\pi\)
−0.905174 + 0.425042i \(0.860259\pi\)
\(720\) −170.628 13.0223i −6.35891 0.485312i
\(721\) −17.1511 + 4.59562i −0.638739 + 0.171150i
\(722\) 31.9735 + 31.9735i 1.18993 + 1.18993i
\(723\) 24.2854 + 20.1494i 0.903184 + 0.749363i
\(724\) −51.0193 88.3681i −1.89612 3.28417i
\(725\) −59.5301 −2.21089
\(726\) −31.7849 + 38.3094i −1.17965 + 1.42179i
\(727\) −28.0154 + 16.1747i −1.03903 + 0.599886i −0.919559 0.392952i \(-0.871454\pi\)
−0.119473 + 0.992837i \(0.538121\pi\)
\(728\) 19.6823 + 28.1613i 0.729476 + 1.04373i
\(729\) −22.9205 + 14.2706i −0.848908 + 0.528541i
\(730\) −11.9377 + 44.5522i −0.441835 + 1.64895i
\(731\) 14.4521 + 8.34390i 0.534529 + 0.308610i
\(732\) 24.0220 + 33.9051i 0.887879 + 1.25317i
\(733\) −8.68030 + 2.32588i −0.320614 + 0.0859083i −0.415537 0.909576i \(-0.636406\pi\)
0.0949227 + 0.995485i \(0.469740\pi\)
\(734\) −10.7117 2.87018i −0.395375 0.105940i
\(735\) 2.27176 + 6.13550i 0.0837951 + 0.226311i
\(736\) 116.149 + 31.1220i 4.28131 + 1.14717i
\(737\) −3.59644 2.07640i −0.132476 0.0764853i
\(738\) 73.8240 + 25.9459i 2.71750 + 0.955083i
\(739\) 2.09418 + 0.561133i 0.0770356 + 0.0206416i 0.297131 0.954837i \(-0.403970\pi\)
−0.220095 + 0.975478i \(0.570637\pi\)
\(740\) 16.3562 + 28.3297i 0.601264 + 1.04142i
\(741\) 5.59261 8.06716i 0.205450 0.296354i
\(742\) 1.65026 2.85833i 0.0605829 0.104933i
\(743\) 28.8410 28.8410i 1.05807 1.05807i 0.0598665 0.998206i \(-0.480932\pi\)
0.998206 0.0598665i \(-0.0190675\pi\)
\(744\) 74.0681 161.168i 2.71547 5.90869i
\(745\) 23.5735i 0.863667i
\(746\) 52.6535 52.6535i 1.92778 1.92778i
\(747\) 31.7563 + 2.42364i 1.16190 + 0.0886764i
\(748\) −2.38172 8.88868i −0.0870841 0.325002i
\(749\) 1.25678 4.69037i 0.0459218 0.171383i
\(750\) −69.4151 31.9012i −2.53468 1.16487i
\(751\) 9.20713i 0.335973i −0.985789 0.167986i \(-0.946274\pi\)
0.985789 0.167986i \(-0.0537265\pi\)
\(752\) 23.3831 + 23.3831i 0.852695 + 0.852695i
\(753\) −10.3789 4.76983i −0.378226 0.173822i
\(754\) 59.5491 21.6156i 2.16865 0.787194i
\(755\) 39.2596i 1.42880i
\(756\) 28.4886 0.474130i 1.03612 0.0172439i
\(757\) 10.1885 + 17.6470i 0.370308 + 0.641392i 0.989613 0.143759i \(-0.0459189\pi\)
−0.619305 + 0.785150i \(0.712586\pi\)
\(758\) 21.0113 0.763164
\(759\) 2.28465 + 6.17031i 0.0829276 + 0.223968i
\(760\) 14.6435 54.6502i 0.531174 1.98237i
\(761\) −13.9788 + 52.1695i −0.506730 + 1.89114i −0.0561177 + 0.998424i \(0.517872\pi\)
−0.450613 + 0.892720i \(0.648794\pi\)
\(762\) −30.7888 + 37.1088i −1.11536 + 1.34431i
\(763\) −7.97048 −0.288551
\(764\) 3.78665 + 6.55867i 0.136996 + 0.237285i
\(765\) −26.9750 2.05873i −0.975284 0.0744336i
\(766\) 2.59010i 0.0935840i
\(767\) −8.12726 + 2.95010i −0.293458 + 0.106522i
\(768\) 65.6154 46.4889i 2.36769 1.67752i
\(769\) −4.30496 4.30496i −0.155241 0.155241i 0.625213 0.780454i \(-0.285012\pi\)
−0.780454 + 0.625213i \(0.785012\pi\)
\(770\) 7.26385i 0.261771i
\(771\) 0.441402 + 4.74213i 0.0158967 + 0.170784i
\(772\) −31.3588 + 117.032i −1.12863 + 4.21209i
\(773\) −9.26836 34.5900i −0.333360 1.24412i −0.905636 0.424055i \(-0.860606\pi\)
0.572276