Properties

Label 819.2.fy.a.50.11
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 50.11
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.585079 - 2.18354i) q^{2} +(0.305712 + 1.70486i) q^{3} +(-2.69350 + 1.55509i) q^{4} +(0.0226908 + 0.0846831i) q^{5} +(3.54377 - 1.66501i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(1.77459 + 1.77459i) q^{8} +(-2.81308 + 1.04239i) q^{9} +O(q^{10})\) \(q+(-0.585079 - 2.18354i) q^{2} +(0.305712 + 1.70486i) q^{3} +(-2.69350 + 1.55509i) q^{4} +(0.0226908 + 0.0846831i) q^{5} +(3.54377 - 1.66501i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(1.77459 + 1.77459i) q^{8} +(-2.81308 + 1.04239i) q^{9} +(0.171633 - 0.0990926i) q^{10} +(1.90998 - 0.511778i) q^{11} +(-3.47464 - 4.11662i) q^{12} +(-3.58230 - 0.408798i) q^{13} +(1.95771 + 1.13029i) q^{14} +(-0.137436 + 0.0645732i) q^{15} +(-0.273568 + 0.473834i) q^{16} +(1.55787 - 2.69831i) q^{17} +(3.92198 + 5.53260i) q^{18} +(-2.44324 + 0.654663i) q^{19} +(-0.192807 - 0.192807i) q^{20} +(-1.42169 - 0.989346i) q^{21} +(-2.23498 - 3.87110i) q^{22} -2.36546 q^{23} +(-2.48290 + 3.56793i) q^{24} +(4.32347 - 2.49616i) q^{25} +(1.20330 + 8.06129i) q^{26} +(-2.63712 - 4.47723i) q^{27} +(0.804974 - 3.00420i) q^{28} +(-7.62726 - 4.40360i) q^{29} +(0.221409 + 0.262317i) q^{30} +(-6.17174 + 1.65371i) q^{31} +(6.04295 + 1.61920i) q^{32} +(1.45641 + 3.09979i) q^{33} +(-6.80335 - 1.82295i) q^{34} +(-0.0759248 - 0.0438352i) q^{35} +(5.95601 - 7.18227i) q^{36} +(-7.44049 - 1.99367i) q^{37} +(2.85897 + 4.95188i) q^{38} +(-0.398209 - 6.23229i) q^{39} +(-0.110011 + 0.190544i) q^{40} +(-5.12248 + 5.12248i) q^{41} +(-1.32848 + 3.68316i) q^{42} -5.94738i q^{43} +(-4.34867 + 4.34867i) q^{44} +(-0.152104 - 0.214568i) q^{45} +(1.38398 + 5.16508i) q^{46} +(0.0184044 - 0.0686863i) q^{47} +(-0.891453 - 0.321538i) q^{48} -1.00000i q^{49} +(-7.98004 - 7.98004i) q^{50} +(5.07649 + 1.83104i) q^{51} +(10.2846 - 4.46971i) q^{52} +7.25132i q^{53} +(-8.23331 + 8.37780i) q^{54} +(0.0866779 + 0.150131i) q^{55} -2.50964 q^{56} +(-1.86303 - 3.96523i) q^{57} +(-5.15291 + 19.2309i) q^{58} +(-0.992812 + 3.70523i) q^{59} +(0.269766 - 0.387653i) q^{60} -5.39486 q^{61} +(7.22191 + 12.5087i) q^{62} +(1.25207 - 2.72623i) q^{63} -13.0481i q^{64} +(-0.0466669 - 0.312636i) q^{65} +(5.91641 - 4.99376i) q^{66} +(-4.62147 - 4.62147i) q^{67} +9.69051i q^{68} +(-0.723148 - 4.03277i) q^{69} +(-0.0512941 + 0.191432i) q^{70} +(3.39106 + 12.6556i) q^{71} +(-6.84186 - 3.14224i) q^{72} +(-8.77428 + 8.77428i) q^{73} +17.4131i q^{74} +(5.57733 + 6.60780i) q^{75} +(5.56278 - 5.56278i) q^{76} +(-0.988679 + 1.71244i) q^{77} +(-13.3755 + 4.51589i) q^{78} +(-8.51984 - 14.7568i) q^{79} +(-0.0463332 - 0.0124150i) q^{80} +(6.82684 - 5.86466i) q^{81} +(14.1822 + 8.18810i) q^{82} +(10.8032 + 2.89471i) q^{83} +(5.36783 + 0.453946i) q^{84} +(0.263850 + 0.0706985i) q^{85} +(-12.9864 + 3.47969i) q^{86} +(5.17577 - 14.3496i) q^{87} +(4.29762 + 2.48123i) q^{88} +(1.29962 - 4.85023i) q^{89} +(-0.379525 + 0.457664i) q^{90} +(2.82213 - 2.24401i) q^{91} +(6.37135 - 3.67850i) q^{92} +(-4.70612 - 10.0164i) q^{93} -0.160748 q^{94} +(-0.110878 - 0.192046i) q^{95} +(-0.913111 + 10.7974i) q^{96} +(1.28086 + 1.28086i) q^{97} +(-2.18354 + 0.585079i) q^{98} +(-4.83946 + 3.43062i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.585079 2.18354i −0.413713 1.54400i −0.787399 0.616443i \(-0.788573\pi\)
0.373686 0.927555i \(-0.378094\pi\)
\(3\) 0.305712 + 1.70486i 0.176503 + 0.984300i
\(4\) −2.69350 + 1.55509i −1.34675 + 0.777545i
\(5\) 0.0226908 + 0.0846831i 0.0101476 + 0.0378714i 0.970814 0.239834i \(-0.0770929\pi\)
−0.960666 + 0.277705i \(0.910426\pi\)
\(6\) 3.54377 1.66501i 1.44674 0.679738i
\(7\) −0.707107 + 0.707107i −0.267261 + 0.267261i
\(8\) 1.77459 + 1.77459i 0.627411 + 0.627411i
\(9\) −2.81308 + 1.04239i −0.937694 + 0.347463i
\(10\) 0.171633 0.0990926i 0.0542753 0.0313358i
\(11\) 1.90998 0.511778i 0.575881 0.154307i 0.0408887 0.999164i \(-0.486981\pi\)
0.534993 + 0.844857i \(0.320314\pi\)
\(12\) −3.47464 4.11662i −1.00304 1.18837i
\(13\) −3.58230 0.408798i −0.993552 0.113380i
\(14\) 1.95771 + 1.13029i 0.523220 + 0.302081i
\(15\) −0.137436 + 0.0645732i −0.0354858 + 0.0166727i
\(16\) −0.273568 + 0.473834i −0.0683921 + 0.118459i
\(17\) 1.55787 2.69831i 0.377839 0.654436i −0.612909 0.790154i \(-0.710001\pi\)
0.990748 + 0.135718i \(0.0433341\pi\)
\(18\) 3.92198 + 5.53260i 0.924419 + 1.30405i
\(19\) −2.44324 + 0.654663i −0.560517 + 0.150190i −0.527944 0.849279i \(-0.677037\pi\)
−0.0325730 + 0.999469i \(0.510370\pi\)
\(20\) −0.192807 0.192807i −0.0431130 0.0431130i
\(21\) −1.42169 0.989346i −0.310238 0.215893i
\(22\) −2.23498 3.87110i −0.476499 0.825321i
\(23\) −2.36546 −0.493232 −0.246616 0.969113i \(-0.579319\pi\)
−0.246616 + 0.969113i \(0.579319\pi\)
\(24\) −2.48290 + 3.56793i −0.506821 + 0.728300i
\(25\) 4.32347 2.49616i 0.864694 0.499231i
\(26\) 1.20330 + 8.06129i 0.235987 + 1.58095i
\(27\) −2.63712 4.47723i −0.507514 0.861644i
\(28\) 0.804974 3.00420i 0.152126 0.567741i
\(29\) −7.62726 4.40360i −1.41635 0.817728i −0.420371 0.907352i \(-0.638100\pi\)
−0.995976 + 0.0896240i \(0.971433\pi\)
\(30\) 0.221409 + 0.262317i 0.0404236 + 0.0478923i
\(31\) −6.17174 + 1.65371i −1.10848 + 0.297016i −0.766212 0.642588i \(-0.777861\pi\)
−0.342265 + 0.939603i \(0.611194\pi\)
\(32\) 6.04295 + 1.61920i 1.06825 + 0.286238i
\(33\) 1.45641 + 3.09979i 0.253529 + 0.539604i
\(34\) −6.80335 1.82295i −1.16676 0.312634i
\(35\) −0.0759248 0.0438352i −0.0128336 0.00740950i
\(36\) 5.95601 7.18227i 0.992668 1.19704i
\(37\) −7.44049 1.99367i −1.22321 0.327758i −0.411278 0.911510i \(-0.634917\pi\)
−0.811932 + 0.583752i \(0.801584\pi\)
\(38\) 2.85897 + 4.95188i 0.463786 + 0.803301i
\(39\) −0.398209 6.23229i −0.0637645 0.997965i
\(40\) −0.110011 + 0.190544i −0.0173942 + 0.0301277i
\(41\) −5.12248 + 5.12248i −0.799997 + 0.799997i −0.983095 0.183098i \(-0.941387\pi\)
0.183098 + 0.983095i \(0.441387\pi\)
\(42\) −1.32848 + 3.68316i −0.204989 + 0.568324i
\(43\) 5.94738i 0.906967i −0.891265 0.453483i \(-0.850181\pi\)
0.891265 0.453483i \(-0.149819\pi\)
\(44\) −4.34867 + 4.34867i −0.655586 + 0.655586i
\(45\) −0.152104 0.214568i −0.0226743 0.0319859i
\(46\) 1.38398 + 5.16508i 0.204057 + 0.761550i
\(47\) 0.0184044 0.0686863i 0.00268456 0.0100189i −0.964571 0.263825i \(-0.915016\pi\)
0.967255 + 0.253806i \(0.0816825\pi\)
\(48\) −0.891453 0.321538i −0.128670 0.0464101i
\(49\) 1.00000i 0.142857i
\(50\) −7.98004 7.98004i −1.12855 1.12855i
\(51\) 5.07649 + 1.83104i 0.710851 + 0.256397i
\(52\) 10.2846 4.46971i 1.42622 0.619837i
\(53\) 7.25132i 0.996045i 0.867164 + 0.498023i \(0.165940\pi\)
−0.867164 + 0.498023i \(0.834060\pi\)
\(54\) −8.23331 + 8.37780i −1.12041 + 1.14007i
\(55\) 0.0866779 + 0.150131i 0.0116877 + 0.0202436i
\(56\) −2.50964 −0.335365
\(57\) −1.86303 3.96523i −0.246765 0.525208i
\(58\) −5.15291 + 19.2309i −0.676610 + 2.52514i
\(59\) −0.992812 + 3.70523i −0.129253 + 0.482379i −0.999956 0.00943103i \(-0.996998\pi\)
0.870702 + 0.491810i \(0.163665\pi\)
\(60\) 0.269766 0.387653i 0.0348266 0.0500458i
\(61\) −5.39486 −0.690741 −0.345371 0.938466i \(-0.612247\pi\)
−0.345371 + 0.938466i \(0.612247\pi\)
\(62\) 7.22191 + 12.5087i 0.917183 + 1.58861i
\(63\) 1.25207 2.72623i 0.157746 0.343473i
\(64\) 13.0481i 1.63102i
\(65\) −0.0466669 0.312636i −0.00578832 0.0387778i
\(66\) 5.91641 4.99376i 0.728260 0.614690i
\(67\) −4.62147 4.62147i −0.564603 0.564603i 0.366009 0.930611i \(-0.380724\pi\)
−0.930611 + 0.366009i \(0.880724\pi\)
\(68\) 9.69051i 1.17515i
\(69\) −0.723148 4.03277i −0.0870568 0.485488i
\(70\) −0.0512941 + 0.191432i −0.00613082 + 0.0228805i
\(71\) 3.39106 + 12.6556i 0.402445 + 1.50195i 0.808719 + 0.588195i \(0.200161\pi\)
−0.406274 + 0.913751i \(0.633172\pi\)
\(72\) −6.84186 3.14224i −0.806321 0.370317i
\(73\) −8.77428 + 8.77428i −1.02695 + 1.02695i −0.0273256 + 0.999627i \(0.508699\pi\)
−0.999627 + 0.0273256i \(0.991301\pi\)
\(74\) 17.4131i 2.02423i
\(75\) 5.57733 + 6.60780i 0.644014 + 0.763003i
\(76\) 5.56278 5.56278i 0.638095 0.638095i
\(77\) −0.988679 + 1.71244i −0.112670 + 0.195151i
\(78\) −13.3755 + 4.51589i −1.51448 + 0.511324i
\(79\) −8.51984 14.7568i −0.958557 1.66027i −0.726010 0.687684i \(-0.758627\pi\)
−0.232547 0.972585i \(-0.574706\pi\)
\(80\) −0.0463332 0.0124150i −0.00518021 0.00138803i
\(81\) 6.82684 5.86466i 0.758538 0.651628i
\(82\) 14.1822 + 8.18810i 1.56616 + 0.904225i
\(83\) 10.8032 + 2.89471i 1.18581 + 0.317736i 0.797227 0.603679i \(-0.206299\pi\)
0.388579 + 0.921415i \(0.372966\pi\)
\(84\) 5.36783 + 0.453946i 0.585678 + 0.0495295i
\(85\) 0.263850 + 0.0706985i 0.0286186 + 0.00766833i
\(86\) −12.9864 + 3.47969i −1.40036 + 0.375224i
\(87\) 5.17577 14.3496i 0.554901 1.53844i
\(88\) 4.29762 + 2.48123i 0.458128 + 0.264500i
\(89\) 1.29962 4.85023i 0.137759 0.514124i −0.862212 0.506547i \(-0.830922\pi\)
0.999971 0.00757652i \(-0.00241170\pi\)
\(90\) −0.379525 + 0.457664i −0.0400055 + 0.0482421i
\(91\) 2.82213 2.24401i 0.295840 0.235236i
\(92\) 6.37135 3.67850i 0.664259 0.383510i
\(93\) −4.70612 10.0164i −0.488002 1.03865i
\(94\) −0.160748 −0.0165798
\(95\) −0.110878 0.192046i −0.0113758 0.0197035i
\(96\) −0.913111 + 10.7974i −0.0931940 + 1.10200i
\(97\) 1.28086 + 1.28086i 0.130051 + 0.130051i 0.769136 0.639085i \(-0.220687\pi\)
−0.639085 + 0.769136i \(0.720687\pi\)
\(98\) −2.18354 + 0.585079i −0.220571 + 0.0591019i
\(99\) −4.83946 + 3.43062i −0.486384 + 0.344790i
\(100\) −7.76350 + 13.4468i −0.776350 + 1.34468i
\(101\) 8.55549 14.8185i 0.851303 1.47450i −0.0287295 0.999587i \(-0.509146\pi\)
0.880033 0.474913i \(-0.157521\pi\)
\(102\) 1.02801 12.1560i 0.101788 1.20363i
\(103\) 15.2918 + 8.82874i 1.50675 + 0.869922i 0.999969 + 0.00784662i \(0.00249768\pi\)
0.506780 + 0.862075i \(0.330836\pi\)
\(104\) −5.63165 7.08255i −0.552229 0.694501i
\(105\) 0.0515217 0.142842i 0.00502800 0.0139399i
\(106\) 15.8336 4.24259i 1.53789 0.412077i
\(107\) −1.85310 + 1.06989i −0.179146 + 0.103430i −0.586891 0.809666i \(-0.699648\pi\)
0.407745 + 0.913096i \(0.366315\pi\)
\(108\) 14.0656 + 7.95844i 1.35346 + 0.765802i
\(109\) −4.68158 4.68158i −0.448414 0.448414i 0.446413 0.894827i \(-0.352701\pi\)
−0.894827 + 0.446413i \(0.852701\pi\)
\(110\) 0.277103 0.277103i 0.0264208 0.0264208i
\(111\) 1.12428 13.2945i 0.106712 1.26186i
\(112\) −0.141609 0.528493i −0.0133808 0.0499379i
\(113\) 5.40533 3.12077i 0.508491 0.293577i −0.223722 0.974653i \(-0.571821\pi\)
0.732213 + 0.681076i \(0.238488\pi\)
\(114\) −7.56823 + 6.38799i −0.708830 + 0.598290i
\(115\) −0.0536741 0.200314i −0.00500513 0.0186794i
\(116\) 27.3920 2.54328
\(117\) 10.5034 2.58417i 0.971042 0.238907i
\(118\) 8.67139 0.798267
\(119\) 0.806412 + 3.00957i 0.0739237 + 0.275887i
\(120\) −0.358482 0.129301i −0.0327248 0.0118035i
\(121\) −6.14017 + 3.54503i −0.558197 + 0.322275i
\(122\) 3.15642 + 11.7799i 0.285769 + 1.06650i
\(123\) −10.2991 7.16709i −0.928639 0.646235i
\(124\) 14.0519 14.0519i 1.26190 1.26190i
\(125\) 0.619447 + 0.619447i 0.0554050 + 0.0554050i
\(126\) −6.68540 1.13888i −0.595583 0.101460i
\(127\) 0.491066 0.283517i 0.0435750 0.0251581i −0.478054 0.878330i \(-0.658658\pi\)
0.521629 + 0.853172i \(0.325324\pi\)
\(128\) −16.4053 + 4.39578i −1.45004 + 0.388536i
\(129\) 10.1394 1.81818i 0.892728 0.160082i
\(130\) −0.655352 + 0.284816i −0.0574781 + 0.0249800i
\(131\) 5.62317 + 3.24654i 0.491298 + 0.283651i 0.725113 0.688630i \(-0.241788\pi\)
−0.233815 + 0.972281i \(0.575121\pi\)
\(132\) −8.74330 6.08442i −0.761006 0.529581i
\(133\) 1.26471 2.19054i 0.109664 0.189944i
\(134\) −7.38726 + 12.7951i −0.638162 + 1.10533i
\(135\) 0.319308 0.324911i 0.0274816 0.0279639i
\(136\) 7.55295 2.02381i 0.647660 0.173540i
\(137\) 7.96257 + 7.96257i 0.680288 + 0.680288i 0.960065 0.279777i \(-0.0902605\pi\)
−0.279777 + 0.960065i \(0.590260\pi\)
\(138\) −8.38263 + 3.93851i −0.713577 + 0.335269i
\(139\) 5.80681 + 10.0577i 0.492527 + 0.853082i 0.999963 0.00860748i \(-0.00273988\pi\)
−0.507436 + 0.861690i \(0.669407\pi\)
\(140\) 0.272671 0.0230449
\(141\) 0.122727 + 0.0103787i 0.0103355 + 0.000874047i
\(142\) 25.6501 14.8091i 2.15251 1.24275i
\(143\) −7.05135 + 1.05255i −0.589663 + 0.0880184i
\(144\) 0.275649 1.61810i 0.0229708 0.134842i
\(145\) 0.199842 0.745821i 0.0165960 0.0619371i
\(146\) 24.2927 + 14.0254i 2.01048 + 1.16075i
\(147\) 1.70486 0.305712i 0.140614 0.0252147i
\(148\) 23.1413 6.20069i 1.90220 0.509693i
\(149\) −11.1182 2.97911i −0.910839 0.244058i −0.227173 0.973854i \(-0.572948\pi\)
−0.683665 + 0.729796i \(0.739615\pi\)
\(150\) 11.1652 16.0444i 0.911638 1.31002i
\(151\) 6.88461 + 1.84472i 0.560261 + 0.150122i 0.527826 0.849352i \(-0.323007\pi\)
0.0324349 + 0.999474i \(0.489674\pi\)
\(152\) −5.49748 3.17397i −0.445905 0.257443i
\(153\) −1.56972 + 9.21446i −0.126904 + 0.744945i
\(154\) 4.31765 + 1.15691i 0.347926 + 0.0932265i
\(155\) −0.280083 0.485118i −0.0224968 0.0389656i
\(156\) 10.7643 + 16.1674i 0.861838 + 1.29443i
\(157\) −6.99918 + 12.1229i −0.558596 + 0.967516i 0.439019 + 0.898478i \(0.355326\pi\)
−0.997614 + 0.0690378i \(0.978007\pi\)
\(158\) −27.2373 + 27.2373i −2.16689 + 2.16689i
\(159\) −12.3625 + 2.21681i −0.980408 + 0.175805i
\(160\) 0.548477i 0.0433609i
\(161\) 1.67263 1.67263i 0.131822 0.131822i
\(162\) −16.8000 11.4754i −1.31993 0.901595i
\(163\) −0.0941290 0.351294i −0.00737275 0.0275155i 0.962141 0.272551i \(-0.0878672\pi\)
−0.969514 + 0.245035i \(0.921201\pi\)
\(164\) 5.83146 21.7633i 0.455360 1.69943i
\(165\) −0.229453 + 0.193670i −0.0178629 + 0.0150772i
\(166\) 25.2829i 1.96233i
\(167\) −6.97223 6.97223i −0.539527 0.539527i 0.383863 0.923390i \(-0.374593\pi\)
−0.923390 + 0.383863i \(0.874593\pi\)
\(168\) −0.767227 4.27858i −0.0591929 0.330100i
\(169\) 12.6658 + 2.92888i 0.974290 + 0.225298i
\(170\) 0.617493i 0.0473596i
\(171\) 6.19060 4.38842i 0.473407 0.335591i
\(172\) 9.24871 + 16.0192i 0.705208 + 1.22146i
\(173\) −6.44720 −0.490171 −0.245086 0.969501i \(-0.578816\pi\)
−0.245086 + 0.969501i \(0.578816\pi\)
\(174\) −34.3613 2.90586i −2.60492 0.220292i
\(175\) −1.29211 + 4.82220i −0.0976740 + 0.364524i
\(176\) −0.280013 + 1.04502i −0.0211067 + 0.0787714i
\(177\) −6.62040 0.559872i −0.497619 0.0420826i
\(178\) −11.3511 −0.850799
\(179\) −6.02414 10.4341i −0.450266 0.779883i 0.548137 0.836389i \(-0.315337\pi\)
−0.998402 + 0.0565059i \(0.982004\pi\)
\(180\) 0.743363 + 0.341402i 0.0554070 + 0.0254466i
\(181\) 9.52948i 0.708320i −0.935185 0.354160i \(-0.884767\pi\)
0.935185 0.354160i \(-0.115233\pi\)
\(182\) −6.55106 4.84933i −0.485597 0.359456i
\(183\) −1.64927 9.19747i −0.121918 0.679897i
\(184\) −4.19771 4.19771i −0.309459 0.309459i
\(185\) 0.675322i 0.0496507i
\(186\) −19.1177 + 16.1364i −1.40178 + 1.18318i
\(187\) 1.59457 5.95100i 0.116606 0.435180i
\(188\) 0.0572411 + 0.213627i 0.00417474 + 0.0155803i
\(189\) 5.03061 + 1.30116i 0.365923 + 0.0946451i
\(190\) −0.354469 + 0.354469i −0.0257159 + 0.0257159i
\(191\) 24.1986i 1.75095i −0.483265 0.875474i \(-0.660549\pi\)
0.483265 0.875474i \(-0.339451\pi\)
\(192\) 22.2452 3.98897i 1.60541 0.287879i
\(193\) 6.28304 6.28304i 0.452263 0.452263i −0.443842 0.896105i \(-0.646385\pi\)
0.896105 + 0.443842i \(0.146385\pi\)
\(194\) 2.04740 3.54621i 0.146995 0.254603i
\(195\) 0.518734 0.175137i 0.0371473 0.0125418i
\(196\) 1.55509 + 2.69350i 0.111078 + 0.192393i
\(197\) −3.75223 1.00541i −0.267336 0.0716323i 0.122661 0.992449i \(-0.460857\pi\)
−0.389997 + 0.920816i \(0.627524\pi\)
\(198\) 10.3224 + 8.55999i 0.733579 + 0.608332i
\(199\) 12.6432 + 7.29957i 0.896255 + 0.517453i 0.875983 0.482342i \(-0.160214\pi\)
0.0202714 + 0.999795i \(0.493547\pi\)
\(200\) 12.1020 + 3.24272i 0.855741 + 0.229295i
\(201\) 6.46612 9.29180i 0.456085 0.655393i
\(202\) −37.3626 10.0113i −2.62882 0.704391i
\(203\) 8.50710 2.27947i 0.597082 0.159988i
\(204\) −16.5209 + 2.96250i −1.15670 + 0.207417i
\(205\) −0.550020 0.317554i −0.0384151 0.0221790i
\(206\) 10.3310 38.5559i 0.719796 2.68632i
\(207\) 6.65422 2.46573i 0.462501 0.171380i
\(208\) 1.17371 1.58558i 0.0813819 0.109940i
\(209\) −4.33149 + 2.50079i −0.299616 + 0.172983i
\(210\) −0.342046 0.0289261i −0.0236034 0.00199609i
\(211\) −23.8468 −1.64168 −0.820842 0.571155i \(-0.806496\pi\)
−0.820842 + 0.571155i \(0.806496\pi\)
\(212\) −11.2765 19.5314i −0.774470 1.34142i
\(213\) −20.5394 + 9.65026i −1.40733 + 0.661225i
\(214\) 3.42036 + 3.42036i 0.233811 + 0.233811i
\(215\) 0.503643 0.134951i 0.0343481 0.00920356i
\(216\) 3.26544 12.6250i 0.222185 0.859024i
\(217\) 3.19473 5.53343i 0.216872 0.375634i
\(218\) −7.48334 + 12.9615i −0.506836 + 0.877865i
\(219\) −17.6413 12.2765i −1.19209 0.829569i
\(220\) −0.466933 0.269584i −0.0314806 0.0181754i
\(221\) −6.68382 + 9.02930i −0.449602 + 0.607376i
\(222\) −29.6869 + 5.32339i −1.99245 + 0.357283i
\(223\) −21.5109 + 5.76383i −1.44048 + 0.385974i −0.892700 0.450651i \(-0.851192\pi\)
−0.547776 + 0.836625i \(0.684525\pi\)
\(224\) −5.41796 + 3.12806i −0.362003 + 0.209003i
\(225\) −9.56030 + 11.5286i −0.637353 + 0.768576i
\(226\) −9.97688 9.97688i −0.663652 0.663652i
\(227\) 11.3980 11.3980i 0.756515 0.756515i −0.219171 0.975686i \(-0.570335\pi\)
0.975686 + 0.219171i \(0.0703354\pi\)
\(228\) 11.1844 + 7.78315i 0.740703 + 0.515451i
\(229\) 4.05899 + 15.1484i 0.268226 + 1.00103i 0.960246 + 0.279154i \(0.0900540\pi\)
−0.692021 + 0.721878i \(0.743279\pi\)
\(230\) −0.405992 + 0.234399i −0.0267703 + 0.0154558i
\(231\) −3.22172 1.16204i −0.211974 0.0764569i
\(232\) −5.72066 21.3498i −0.375580 1.40168i
\(233\) −7.39188 −0.484258 −0.242129 0.970244i \(-0.577846\pi\)
−0.242129 + 0.970244i \(0.577846\pi\)
\(234\) −11.7880 21.4228i −0.770605 1.40045i
\(235\) 0.00623418 0.000406673
\(236\) −3.08783 11.5239i −0.201000 0.750143i
\(237\) 22.5536 19.0364i 1.46502 1.23655i
\(238\) 6.09972 3.52167i 0.395386 0.228276i
\(239\) 2.65725 + 9.91699i 0.171883 + 0.641477i 0.997062 + 0.0766046i \(0.0244079\pi\)
−0.825178 + 0.564872i \(0.808925\pi\)
\(240\) 0.00700111 0.0827870i 0.000451920 0.00534388i
\(241\) −9.92762 + 9.92762i −0.639494 + 0.639494i −0.950431 0.310936i \(-0.899357\pi\)
0.310936 + 0.950431i \(0.399357\pi\)
\(242\) 11.3332 + 11.3332i 0.728526 + 0.728526i
\(243\) 12.0855 + 9.84590i 0.775282 + 0.631615i
\(244\) 14.5310 8.38950i 0.930254 0.537082i
\(245\) 0.0846831 0.0226908i 0.00541021 0.00144966i
\(246\) −9.62388 + 26.6819i −0.613596 + 1.70117i
\(247\) 9.02003 1.34641i 0.573931 0.0856700i
\(248\) −13.8869 8.01762i −0.881821 0.509120i
\(249\) −1.63240 + 19.3029i −0.103449 + 1.22327i
\(250\) 0.990164 1.71501i 0.0626235 0.108467i
\(251\) 5.77140 9.99635i 0.364287 0.630964i −0.624374 0.781125i \(-0.714646\pi\)
0.988662 + 0.150161i \(0.0479793\pi\)
\(252\) 0.867097 + 9.29017i 0.0546220 + 0.585225i
\(253\) −4.51798 + 1.21059i −0.284043 + 0.0761091i
\(254\) −0.906384 0.906384i −0.0568716 0.0568716i
\(255\) −0.0398687 + 0.471441i −0.00249668 + 0.0295228i
\(256\) 6.14863 + 10.6497i 0.384289 + 0.665608i
\(257\) 7.72844 0.482087 0.241043 0.970514i \(-0.422510\pi\)
0.241043 + 0.970514i \(0.422510\pi\)
\(258\) −9.90245 21.0761i −0.616500 1.31214i
\(259\) 6.67096 3.85148i 0.414514 0.239320i
\(260\) 0.611875 + 0.769514i 0.0379469 + 0.0477232i
\(261\) 26.0464 + 4.43710i 1.61223 + 0.274650i
\(262\) 3.79896 14.1779i 0.234700 0.875914i
\(263\) −6.00298 3.46582i −0.370160 0.213712i 0.303369 0.952873i \(-0.401889\pi\)
−0.673528 + 0.739162i \(0.735222\pi\)
\(264\) −2.91631 + 8.08537i −0.179487 + 0.497620i
\(265\) −0.614064 + 0.164538i −0.0377217 + 0.0101075i
\(266\) −5.52311 1.47991i −0.338643 0.0907392i
\(267\) 8.66627 + 0.732887i 0.530367 + 0.0448520i
\(268\) 19.6347 + 5.26111i 1.19938 + 0.321373i
\(269\) 0.299119 + 0.172697i 0.0182376 + 0.0105295i 0.509091 0.860713i \(-0.329982\pi\)
−0.490853 + 0.871242i \(0.663315\pi\)
\(270\) −0.896278 0.507123i −0.0545458 0.0308626i
\(271\) −13.3856 3.58667i −0.813120 0.217875i −0.171784 0.985135i \(-0.554953\pi\)
−0.641336 + 0.767260i \(0.721620\pi\)
\(272\) 0.852367 + 1.47634i 0.0516823 + 0.0895164i
\(273\) 4.68847 + 4.12532i 0.283759 + 0.249676i
\(274\) 12.7279 22.0453i 0.768920 1.33181i
\(275\) 6.98027 6.98027i 0.420926 0.420926i
\(276\) 8.21912 + 9.73769i 0.494733 + 0.586140i
\(277\) 30.8361i 1.85276i 0.376588 + 0.926381i \(0.377097\pi\)
−0.376588 + 0.926381i \(0.622903\pi\)
\(278\) 18.5640 18.5640i 1.11339 1.11339i
\(279\) 15.6378 11.0854i 0.936210 0.663665i
\(280\) −0.0569457 0.212524i −0.00340316 0.0127008i
\(281\) −0.0627560 + 0.234209i −0.00374371 + 0.0139717i −0.967772 0.251826i \(-0.918969\pi\)
0.964029 + 0.265798i \(0.0856355\pi\)
\(282\) −0.0491424 0.274052i −0.00292639 0.0163195i
\(283\) 11.8324i 0.703365i −0.936119 0.351682i \(-0.885610\pi\)
0.936119 0.351682i \(-0.114390\pi\)
\(284\) −28.8145 28.8145i −1.70982 1.70982i
\(285\) 0.293514 0.247742i 0.0173863 0.0146749i
\(286\) 6.42387 + 14.7811i 0.379852 + 0.874025i
\(287\) 7.24428i 0.427616i
\(288\) −18.6872 + 1.74416i −1.10115 + 0.102776i
\(289\) 3.64609 + 6.31521i 0.214476 + 0.371483i
\(290\) −1.74546 −0.102497
\(291\) −1.79210 + 2.57525i −0.105055 + 0.150964i
\(292\) 9.98869 37.2783i 0.584544 2.18155i
\(293\) 0.456027 1.70192i 0.0266414 0.0994270i −0.951325 0.308190i \(-0.900277\pi\)
0.977966 + 0.208763i \(0.0669436\pi\)
\(294\) −1.66501 3.54377i −0.0971054 0.206677i
\(295\) −0.336298 −0.0195800
\(296\) −9.66585 16.7417i −0.561816 0.973094i
\(297\) −7.32820 7.20181i −0.425225 0.417891i
\(298\) 26.0201i 1.50730i
\(299\) 8.47378 + 0.966995i 0.490052 + 0.0559228i
\(300\) −25.2982 9.12482i −1.46059 0.526822i
\(301\) 4.20543 + 4.20543i 0.242397 + 0.242397i
\(302\) 16.1121i 0.927150i
\(303\) 27.8790 + 10.0557i 1.60161 + 0.577684i
\(304\) 0.358190 1.33678i 0.0205436 0.0766698i
\(305\) −0.122414 0.456854i −0.00700938 0.0261594i
\(306\) 21.0386 1.96364i 1.20270 0.112254i
\(307\) 17.8862 17.8862i 1.02082 1.02082i 0.0210412 0.999779i \(-0.493302\pi\)
0.999779 0.0210412i \(-0.00669811\pi\)
\(308\) 6.14994i 0.350426i
\(309\) −10.3769 + 28.7695i −0.590319 + 1.63664i
\(310\) −0.895406 + 0.895406i −0.0508556 + 0.0508556i
\(311\) −0.905589 + 1.56853i −0.0513513 + 0.0889430i −0.890558 0.454869i \(-0.849686\pi\)
0.839207 + 0.543812i \(0.183019\pi\)
\(312\) 10.3531 11.7664i 0.586127 0.666140i
\(313\) 6.00459 + 10.4003i 0.339399 + 0.587857i 0.984320 0.176393i \(-0.0564429\pi\)
−0.644920 + 0.764250i \(0.723110\pi\)
\(314\) 30.5660 + 8.19015i 1.72494 + 0.462197i
\(315\) 0.259276 + 0.0441687i 0.0146085 + 0.00248862i
\(316\) 45.8963 + 26.4982i 2.58187 + 1.49064i
\(317\) 29.0154 + 7.77466i 1.62967 + 0.436668i 0.953822 0.300373i \(-0.0971113\pi\)
0.675847 + 0.737042i \(0.263778\pi\)
\(318\) 12.0735 + 25.6970i 0.677050 + 1.44102i
\(319\) −16.8216 4.50733i −0.941829 0.252362i
\(320\) 1.10496 0.296072i 0.0617690 0.0165510i
\(321\) −2.39052 2.83220i −0.133426 0.158078i
\(322\) −4.63089 2.67364i −0.258069 0.148996i
\(323\) −2.03976 + 7.61248i −0.113495 + 0.423570i
\(324\) −9.26800 + 26.4128i −0.514889 + 1.46738i
\(325\) −16.5084 + 7.17456i −0.915721 + 0.397973i
\(326\) −0.711993 + 0.411069i −0.0394337 + 0.0227670i
\(327\) 6.55021 9.41264i 0.362227 0.520520i
\(328\) −18.1805 −1.00385
\(329\) 0.0355546 + 0.0615824i 0.00196019 + 0.00339515i
\(330\) 0.557135 + 0.387708i 0.0306693 + 0.0213426i
\(331\) −7.29804 7.29804i −0.401137 0.401137i 0.477497 0.878633i \(-0.341544\pi\)
−0.878633 + 0.477497i \(0.841544\pi\)
\(332\) −33.5999 + 9.00308i −1.84404 + 0.494108i
\(333\) 23.0089 2.14753i 1.26088 0.117684i
\(334\) −11.1449 + 19.3035i −0.609820 + 1.05624i
\(335\) 0.286496 0.496226i 0.0156529 0.0271117i
\(336\) 0.857714 0.402991i 0.0467922 0.0219849i
\(337\) −12.8631 7.42650i −0.700696 0.404547i 0.106911 0.994269i \(-0.465904\pi\)
−0.807607 + 0.589722i \(0.799237\pi\)
\(338\) −1.01514 29.3699i −0.0552165 1.59751i
\(339\) 6.97294 + 8.26126i 0.378718 + 0.448690i
\(340\) −0.820622 + 0.219885i −0.0445045 + 0.0119249i
\(341\) −10.9416 + 6.31712i −0.592520 + 0.342091i
\(342\) −13.2043 10.9499i −0.714007 0.592102i
\(343\) 0.707107 + 0.707107i 0.0381802 + 0.0381802i
\(344\) 10.5541 10.5541i 0.569041 0.569041i
\(345\) 0.325099 0.152745i 0.0175027 0.00822352i
\(346\) 3.77212 + 14.0777i 0.202790 + 0.756824i
\(347\) 23.9646 13.8360i 1.28649 0.742754i 0.308462 0.951237i \(-0.400186\pi\)
0.978026 + 0.208483i \(0.0668526\pi\)
\(348\) 8.37406 + 46.6995i 0.448897 + 2.50335i
\(349\) 0.931805 + 3.47754i 0.0498784 + 0.186149i 0.986370 0.164540i \(-0.0526141\pi\)
−0.936492 + 0.350689i \(0.885947\pi\)
\(350\) 11.2855 0.603234
\(351\) 7.61667 + 17.1168i 0.406548 + 0.913629i
\(352\) 12.3706 0.659356
\(353\) 5.39162 + 20.1218i 0.286967 + 1.07098i 0.947390 + 0.320082i \(0.103710\pi\)
−0.660423 + 0.750894i \(0.729623\pi\)
\(354\) 2.65095 + 14.7835i 0.140896 + 0.785734i
\(355\) −0.994772 + 0.574332i −0.0527970 + 0.0304824i
\(356\) 4.04204 + 15.0851i 0.214228 + 0.799509i
\(357\) −4.88436 + 2.29488i −0.258508 + 0.121458i
\(358\) −19.2588 + 19.2588i −1.01786 + 1.01786i
\(359\) −9.96897 9.96897i −0.526142 0.526142i 0.393278 0.919420i \(-0.371341\pi\)
−0.919420 + 0.393278i \(0.871341\pi\)
\(360\) 0.110848 0.650690i 0.00584218 0.0342944i
\(361\) −10.9137 + 6.30101i −0.574404 + 0.331632i
\(362\) −20.8080 + 5.57550i −1.09365 + 0.293042i
\(363\) −7.92089 9.38435i −0.415739 0.492551i
\(364\) −4.11177 + 10.4329i −0.215515 + 0.546832i
\(365\) −0.942129 0.543938i −0.0493133 0.0284710i
\(366\) −19.1181 + 8.98250i −0.999320 + 0.469523i
\(367\) −7.43645 + 12.8803i −0.388180 + 0.672347i −0.992205 0.124619i \(-0.960229\pi\)
0.604025 + 0.796965i \(0.293563\pi\)
\(368\) 0.647114 1.12083i 0.0337332 0.0584276i
\(369\) 9.07032 19.7496i 0.472182 1.02812i
\(370\) −1.47460 + 0.395117i −0.0766606 + 0.0205411i
\(371\) −5.12746 5.12746i −0.266204 0.266204i
\(372\) 28.2523 + 19.6606i 1.46481 + 1.01936i
\(373\) 11.6008 + 20.0932i 0.600667 + 1.04039i 0.992720 + 0.120443i \(0.0384315\pi\)
−0.392053 + 0.919942i \(0.628235\pi\)
\(374\) −13.9272 −0.720159
\(375\) −0.866697 + 1.24544i −0.0447560 + 0.0643143i
\(376\) 0.154550 0.0892294i 0.00797030 0.00460166i
\(377\) 25.5230 + 18.8930i 1.31450 + 0.973041i
\(378\) −0.102170 11.7458i −0.00525508 0.604140i
\(379\) 4.87506 18.1940i 0.250415 0.934561i −0.720169 0.693799i \(-0.755936\pi\)
0.970584 0.240763i \(-0.0773976\pi\)
\(380\) 0.597298 + 0.344850i 0.0306407 + 0.0176904i
\(381\) 0.633481 + 0.750523i 0.0324542 + 0.0384505i
\(382\) −52.8387 + 14.1581i −2.70346 + 0.724390i
\(383\) 16.7798 + 4.49615i 0.857410 + 0.229742i 0.660636 0.750706i \(-0.270287\pi\)
0.196774 + 0.980449i \(0.436953\pi\)
\(384\) −12.5095 26.6248i −0.638372 1.35869i
\(385\) −0.167449 0.0448678i −0.00853399 0.00228667i
\(386\) −17.3954 10.0432i −0.885400 0.511186i
\(387\) 6.19949 + 16.7305i 0.315138 + 0.850457i
\(388\) −5.44183 1.45813i −0.276267 0.0740255i
\(389\) 12.2562 + 21.2284i 0.621416 + 1.07632i 0.989222 + 0.146422i \(0.0467757\pi\)
−0.367806 + 0.929903i \(0.619891\pi\)
\(390\) −0.685920 1.03021i −0.0347329 0.0521667i
\(391\) −3.68507 + 6.38273i −0.186362 + 0.322789i
\(392\) 1.77459 1.77459i 0.0896301 0.0896301i
\(393\) −3.81581 + 10.5792i −0.192482 + 0.533650i
\(394\) 8.78141i 0.442401i
\(395\) 1.05633 1.05633i 0.0531497 0.0531497i
\(396\) 7.70014 16.7662i 0.386947 0.842531i
\(397\) −0.887952 3.31388i −0.0445650 0.166319i 0.940057 0.341018i \(-0.110772\pi\)
−0.984622 + 0.174699i \(0.944105\pi\)
\(398\) 8.54165 31.8779i 0.428154 1.59789i
\(399\) 4.12121 + 1.48648i 0.206318 + 0.0744170i
\(400\) 2.73148i 0.136574i
\(401\) −17.5933 17.5933i −0.878566 0.878566i 0.114820 0.993386i \(-0.463371\pi\)
−0.993386 + 0.114820i \(0.963371\pi\)
\(402\) −24.0722 8.68262i −1.20061 0.433050i
\(403\) 22.7851 3.40110i 1.13500 0.169421i
\(404\) 53.2183i 2.64771i
\(405\) 0.651544 + 0.445045i 0.0323755 + 0.0221145i
\(406\) −9.95465 17.2420i −0.494041 0.855704i
\(407\) −15.2315 −0.754999
\(408\) 5.75933 + 12.2580i 0.285129 + 0.606862i
\(409\) −7.04501 + 26.2924i −0.348354 + 1.30007i 0.540292 + 0.841478i \(0.318314\pi\)
−0.888645 + 0.458595i \(0.848353\pi\)
\(410\) −0.371589 + 1.38679i −0.0183515 + 0.0684886i
\(411\) −11.1408 + 16.0093i −0.549535 + 0.789681i
\(412\) −54.9180 −2.70561
\(413\) −1.91797 3.32201i −0.0943769 0.163466i
\(414\) −9.27728 13.0871i −0.455953 0.643198i
\(415\) 0.980533i 0.0481325i
\(416\) −20.9858 8.27083i −1.02891 0.405511i
\(417\) −15.3717 + 12.9745i −0.752756 + 0.635366i
\(418\) 7.99485 + 7.99485i 0.391041 + 0.391041i
\(419\) 11.3138i 0.552716i 0.961055 + 0.276358i \(0.0891275\pi\)
−0.961055 + 0.276358i \(0.910873\pi\)
\(420\) 0.0833587 + 0.464865i 0.00406749 + 0.0226831i
\(421\) 8.52615 31.8200i 0.415539 1.55081i −0.368215 0.929741i \(-0.620031\pi\)
0.783754 0.621072i \(-0.213302\pi\)
\(422\) 13.9523 + 52.0706i 0.679187 + 2.53476i
\(423\) 0.0198248 + 0.212405i 0.000963913 + 0.0103275i
\(424\) −12.8681 + 12.8681i −0.624930 + 0.624930i
\(425\) 15.5547i 0.754516i
\(426\) 33.0889 + 39.2024i 1.60316 + 1.89936i
\(427\) 3.81474 3.81474i 0.184608 0.184608i
\(428\) 3.32755 5.76348i 0.160843 0.278589i
\(429\) −3.95012 11.6998i −0.190714 0.564870i
\(430\) −0.589341 1.02077i −0.0284206 0.0492258i
\(431\) −4.13746 1.10863i −0.199295 0.0534008i 0.157791 0.987473i \(-0.449563\pi\)
−0.357085 + 0.934072i \(0.616229\pi\)
\(432\) 2.84290 0.0247288i 0.136779 0.00118976i
\(433\) 1.32891 + 0.767247i 0.0638634 + 0.0368716i 0.531592 0.847001i \(-0.321594\pi\)
−0.467728 + 0.883872i \(0.654927\pi\)
\(434\) −13.9517 3.73833i −0.669701 0.179446i
\(435\) 1.33261 + 0.112696i 0.0638939 + 0.00540337i
\(436\) 19.8901 + 5.32953i 0.952562 + 0.255238i
\(437\) 5.77937 1.54858i 0.276465 0.0740785i
\(438\) −16.4847 + 45.7033i −0.787671 + 2.18379i
\(439\) 0.468303 + 0.270375i 0.0223509 + 0.0129043i 0.511134 0.859501i \(-0.329226\pi\)
−0.488783 + 0.872405i \(0.662559\pi\)
\(440\) −0.112602 + 0.420237i −0.00536810 + 0.0200340i
\(441\) 1.04239 + 2.81308i 0.0496376 + 0.133956i
\(442\) 23.6264 + 9.31156i 1.12379 + 0.442906i
\(443\) 1.14873 0.663219i 0.0545778 0.0315105i −0.472463 0.881351i \(-0.656635\pi\)
0.527041 + 0.849840i \(0.323302\pi\)
\(444\) 17.6459 + 37.5570i 0.837435 + 1.78238i
\(445\) 0.440222 0.0208685
\(446\) 25.1711 + 43.5977i 1.19189 + 2.06441i
\(447\) 1.68000 19.8657i 0.0794612 0.939616i
\(448\) 9.22643 + 9.22643i 0.435908 + 0.435908i
\(449\) −27.4540 + 7.35629i −1.29564 + 0.347165i −0.839798 0.542898i \(-0.817327\pi\)
−0.455837 + 0.890063i \(0.650660\pi\)
\(450\) 30.7668 + 14.1302i 1.45036 + 0.666103i
\(451\) −7.16227 + 12.4054i −0.337258 + 0.584148i
\(452\) −9.70615 + 16.8116i −0.456539 + 0.790749i
\(453\) −1.04029 + 12.3012i −0.0488770 + 0.577962i
\(454\) −31.5569 18.2194i −1.48104 0.855078i
\(455\) 0.254066 + 0.188069i 0.0119108 + 0.00881680i
\(456\) 3.73053 10.3428i 0.174698 0.484344i
\(457\) 6.14339 1.64612i 0.287376 0.0770020i −0.112252 0.993680i \(-0.535806\pi\)
0.399627 + 0.916678i \(0.369140\pi\)
\(458\) 30.7023 17.7260i 1.43462 0.828280i
\(459\) −16.1892 + 0.140821i −0.755649 + 0.00657297i
\(460\) 0.456078 + 0.456078i 0.0212647 + 0.0212647i
\(461\) 26.3227 26.3227i 1.22597 1.22597i 0.260497 0.965475i \(-0.416114\pi\)
0.965475 0.260497i \(-0.0838864\pi\)
\(462\) −0.652412 + 7.71466i −0.0303529 + 0.358918i
\(463\) 6.06685 + 22.6418i 0.281951 + 1.05225i 0.951039 + 0.309071i \(0.100018\pi\)
−0.669088 + 0.743183i \(0.733315\pi\)
\(464\) 4.17315 2.40937i 0.193734 0.111852i
\(465\) 0.741433 0.625808i 0.0343831 0.0290212i
\(466\) 4.32483 + 16.1405i 0.200344 + 0.747694i
\(467\) −9.06324 −0.419397 −0.209698 0.977766i \(-0.567248\pi\)
−0.209698 + 0.977766i \(0.567248\pi\)
\(468\) −24.2723 + 23.2942i −1.12199 + 1.07678i
\(469\) 6.53575 0.301793
\(470\) −0.00364749 0.0136126i −0.000168246 0.000627903i
\(471\) −22.8076 8.22648i −1.05092 0.379056i
\(472\) −8.33707 + 4.81341i −0.383745 + 0.221555i
\(473\) −3.04374 11.3594i −0.139951 0.522305i
\(474\) −54.7626 38.1090i −2.51533 1.75040i
\(475\) −8.92912 + 8.92912i −0.409696 + 0.409696i
\(476\) −6.85222 6.85222i −0.314071 0.314071i
\(477\) −7.55871 20.3985i −0.346089 0.933985i
\(478\) 20.0995 11.6044i 0.919329 0.530775i
\(479\) −40.6315 + 10.8872i −1.85650 + 0.497448i −0.999830 0.0184174i \(-0.994137\pi\)
−0.856670 + 0.515865i \(0.827471\pi\)
\(480\) −0.935076 + 0.167676i −0.0426802 + 0.00765333i
\(481\) 25.8391 + 10.1836i 1.17816 + 0.464332i
\(482\) 27.4858 + 15.8690i 1.25195 + 0.722811i
\(483\) 3.36294 + 2.34026i 0.153019 + 0.106485i
\(484\) 11.0257 19.0970i 0.501167 0.868047i
\(485\) −0.0794032 + 0.137530i −0.00360552 + 0.00624494i
\(486\) 14.4280 32.1497i 0.654468 1.45834i
\(487\) −0.839487 + 0.224940i −0.0380408 + 0.0101930i −0.277789 0.960642i \(-0.589602\pi\)
0.239748 + 0.970835i \(0.422935\pi\)
\(488\) −9.57364 9.57364i −0.433378 0.433378i
\(489\) 0.570130 0.267871i 0.0257822 0.0121136i
\(490\) −0.0990926 0.171633i −0.00447655 0.00775361i
\(491\) 15.6661 0.706999 0.353500 0.935435i \(-0.384992\pi\)
0.353500 + 0.935435i \(0.384992\pi\)
\(492\) 38.8861 + 3.28851i 1.75312 + 0.148257i
\(493\) −23.7645 + 13.7205i −1.07030 + 0.617939i
\(494\) −8.21737 18.9079i −0.369717 0.850706i
\(495\) −0.400327 0.331977i −0.0179933 0.0149213i
\(496\) 0.904807 3.37678i 0.0406270 0.151622i
\(497\) −11.3467 6.55103i −0.508970 0.293854i
\(498\) 43.1038 7.72929i 1.93153 0.346358i
\(499\) 11.6828 3.13040i 0.522995 0.140136i 0.0123435 0.999924i \(-0.496071\pi\)
0.510652 + 0.859788i \(0.329404\pi\)
\(500\) −2.63177 0.705182i −0.117697 0.0315367i
\(501\) 9.75516 14.0181i 0.435829 0.626285i
\(502\) −25.2042 6.75344i −1.12492 0.301421i
\(503\) −24.6430 14.2276i −1.09878 0.634378i −0.162876 0.986646i \(-0.552077\pi\)
−0.935899 + 0.352268i \(0.885410\pi\)
\(504\) 7.05983 2.61603i 0.314470 0.116527i
\(505\) 1.44901 + 0.388261i 0.0644802 + 0.0172774i
\(506\) 5.28675 + 9.15692i 0.235025 + 0.407075i
\(507\) −1.12124 + 22.4887i −0.0497961 + 0.998759i
\(508\) −0.881789 + 1.52730i −0.0391231 + 0.0677631i
\(509\) −11.4868 + 11.4868i −0.509144 + 0.509144i −0.914264 0.405120i \(-0.867230\pi\)
0.405120 + 0.914264i \(0.367230\pi\)
\(510\) 1.05274 0.188775i 0.0466160 0.00835909i
\(511\) 12.4087i 0.548929i
\(512\) −4.36228 + 4.36228i −0.192787 + 0.192787i
\(513\) 9.37418 + 9.21251i 0.413880 + 0.406742i
\(514\) −4.52174 16.8754i −0.199446 0.744341i
\(515\) −0.400662 + 1.49529i −0.0176553 + 0.0658904i
\(516\) −24.4831 + 20.6650i −1.07781 + 0.909726i
\(517\) 0.140609i 0.00618396i
\(518\) −12.3129 12.3129i −0.540999 0.540999i
\(519\) −1.97098 10.9916i −0.0865166 0.482476i
\(520\) 0.471986 0.637614i 0.0206979 0.0279612i
\(521\) 8.84438i 0.387479i −0.981053 0.193740i \(-0.937938\pi\)
0.981053 0.193740i \(-0.0620617\pi\)
\(522\) −5.55057 59.4694i −0.242942 2.60291i
\(523\) −13.5855 23.5308i −0.594054 1.02893i −0.993680 0.112253i \(-0.964193\pi\)
0.399626 0.916678i \(-0.369140\pi\)
\(524\) −20.1946 −0.882207
\(525\) −8.61619 0.728652i −0.376041 0.0318010i
\(526\) −4.05556 + 15.1355i −0.176831 + 0.659941i
\(527\) −5.15253 + 19.2295i −0.224448 + 0.837651i
\(528\) −1.86722 0.157906i −0.0812601 0.00687199i
\(529\) −17.4046 −0.756722
\(530\) 0.718552 + 1.24457i 0.0312119 + 0.0540606i
\(531\) −1.06943 11.4580i −0.0464093 0.497235i
\(532\) 7.86696i 0.341076i
\(533\) 20.4443 16.2562i 0.885542 0.704134i
\(534\) −3.47016 19.3520i −0.150168 0.837441i
\(535\) −0.132650 0.132650i −0.00573496 0.00573496i
\(536\) 16.4024i 0.708476i
\(537\) 15.9470 13.4601i 0.688166 0.580848i
\(538\) 0.202082 0.754181i 0.00871238 0.0325150i
\(539\) −0.511778 1.90998i −0.0220438 0.0822687i
\(540\) −0.354787 + 1.37170i −0.0152676 + 0.0590286i
\(541\) −30.1892 + 30.1892i −1.29794 + 1.29794i −0.368183 + 0.929753i \(0.620020\pi\)
−0.929753 + 0.368183i \(0.879980\pi\)
\(542\) 31.3266i 1.34559i
\(543\) 16.2464 2.91327i 0.697200 0.125021i
\(544\) 13.7832 13.7832i 0.590952 0.590952i
\(545\) 0.290222 0.502679i 0.0124317 0.0215324i
\(546\) 6.26469 12.6511i 0.268104 0.541418i
\(547\) −7.01579 12.1517i −0.299973 0.519569i 0.676156 0.736758i \(-0.263644\pi\)
−0.976130 + 0.217189i \(0.930311\pi\)
\(548\) −33.8297 9.06463i −1.44513 0.387222i
\(549\) 15.1762 5.62355i 0.647704 0.240007i
\(550\) −19.3257 11.1577i −0.824052 0.475767i
\(551\) 21.5181 + 5.76575i 0.916701 + 0.245629i
\(552\) 5.87321 8.43978i 0.249980 0.359221i
\(553\) 16.4591 + 4.41019i 0.699911 + 0.187541i
\(554\) 67.3320 18.0415i 2.86066 0.766512i
\(555\) 1.15133 0.206454i 0.0488712 0.00876348i
\(556\) −31.2812 18.0602i −1.32662 0.765924i
\(557\) 2.94048 10.9740i 0.124592 0.464984i −0.875233 0.483702i \(-0.839292\pi\)
0.999825 + 0.0187180i \(0.00595846\pi\)
\(558\) −33.3548 27.6600i −1.41202 1.17094i
\(559\) −2.43128 + 21.3053i −0.102832 + 0.901118i
\(560\) 0.0415412 0.0239838i 0.00175544 0.00101350i
\(561\) 10.6331 + 0.899217i 0.448929 + 0.0379650i
\(562\) 0.548122 0.0231211
\(563\) −5.58335 9.67065i −0.235310 0.407569i 0.724053 0.689745i \(-0.242277\pi\)
−0.959363 + 0.282176i \(0.908944\pi\)
\(564\) −0.346704 + 0.162896i −0.0145989 + 0.00685917i
\(565\) 0.386927 + 0.386927i 0.0162782 + 0.0162782i
\(566\) −25.8366 + 6.92290i −1.08599 + 0.290991i
\(567\) −0.680370 + 8.97425i −0.0285728 + 0.376883i
\(568\) −16.4408 + 28.4762i −0.689839 + 1.19484i
\(569\) 9.15646 15.8595i 0.383859 0.664863i −0.607751 0.794127i \(-0.707928\pi\)
0.991610 + 0.129264i \(0.0412616\pi\)
\(570\) −0.712684 0.495953i −0.0298510 0.0207732i
\(571\) 13.8623 + 8.00340i 0.580119 + 0.334932i 0.761181 0.648540i \(-0.224620\pi\)
−0.181062 + 0.983472i \(0.557953\pi\)
\(572\) 17.3560 13.8005i 0.725689 0.577028i
\(573\) 41.2551 7.39779i 1.72346 0.309047i
\(574\) −15.8182 + 4.23847i −0.660239 + 0.176910i
\(575\) −10.2270 + 5.90455i −0.426495 + 0.246237i
\(576\) 13.6013 + 36.7055i 0.566719 + 1.52940i
\(577\) −16.9330 16.9330i −0.704931 0.704931i 0.260534 0.965465i \(-0.416101\pi\)
−0.965465 + 0.260534i \(0.916101\pi\)
\(578\) 11.6563 11.6563i 0.484838 0.484838i
\(579\) 12.6325 + 8.79088i 0.524988 + 0.365337i
\(580\) 0.621546 + 2.31964i 0.0258083 + 0.0963178i
\(581\) −9.68589 + 5.59215i −0.401839 + 0.232002i
\(582\) 6.67169 + 2.40641i 0.276551 + 0.0997491i
\(583\) 3.71107 + 13.8499i 0.153697 + 0.573604i
\(584\) −31.1414 −1.28864
\(585\) 0.457167 + 0.830826i 0.0189015 + 0.0343504i
\(586\) −3.98302 −0.164537
\(587\) 9.77558 + 36.4830i 0.403481 + 1.50581i 0.806839 + 0.590771i \(0.201176\pi\)
−0.403358 + 0.915042i \(0.632157\pi\)
\(588\) −4.11662 + 3.47464i −0.169766 + 0.143292i
\(589\) 13.9964 8.08082i 0.576711 0.332964i
\(590\) 0.196761 + 0.734321i 0.00810051 + 0.0302315i
\(591\) 0.566975 6.70439i 0.0233223 0.275782i
\(592\) 2.98015 2.98015i 0.122484 0.122484i
\(593\) 23.4781 + 23.4781i 0.964130 + 0.964130i 0.999379 0.0352488i \(-0.0112224\pi\)
−0.0352488 + 0.999379i \(0.511222\pi\)
\(594\) −11.4379 + 20.2151i −0.469303 + 0.829434i
\(595\) −0.236562 + 0.136579i −0.00969809 + 0.00559919i
\(596\) 34.5796 9.26558i 1.41644 0.379533i
\(597\) −8.57955 + 23.7865i −0.351137 + 0.973515i
\(598\) −2.84636 19.0686i −0.116396 0.779775i
\(599\) 15.9023 + 9.18118i 0.649749 + 0.375133i 0.788360 0.615214i \(-0.210930\pi\)
−0.138611 + 0.990347i \(0.544264\pi\)
\(600\) −1.82866 + 21.6235i −0.0746546 + 0.882778i
\(601\) −6.40795 + 11.0989i −0.261386 + 0.452733i −0.966610 0.256250i \(-0.917513\pi\)
0.705225 + 0.708984i \(0.250846\pi\)
\(602\) 6.72224 11.6433i 0.273978 0.474544i
\(603\) 17.8180 + 8.18320i 0.725603 + 0.333246i
\(604\) −21.4124 + 5.73743i −0.871257 + 0.233453i
\(605\) −0.439529 0.439529i −0.0178694 0.0178694i
\(606\) 5.64562 66.7585i 0.229337 2.71188i
\(607\) −19.6339 34.0070i −0.796917 1.38030i −0.921615 0.388106i \(-0.873129\pi\)
0.124698 0.992195i \(-0.460204\pi\)
\(608\) −15.8244 −0.641764
\(609\) 6.48690 + 13.8065i 0.262862 + 0.559469i
\(610\) −0.925938 + 0.534591i −0.0374902 + 0.0216449i
\(611\) −0.0940090 + 0.238531i −0.00380320 + 0.00964994i
\(612\) −10.1013 27.2602i −0.408321 1.10193i
\(613\) −3.79080 + 14.1475i −0.153109 + 0.571411i 0.846151 + 0.532943i \(0.178914\pi\)
−0.999260 + 0.0384671i \(0.987753\pi\)
\(614\) −49.5202 28.5905i −1.99847 1.15382i
\(615\) 0.373237 1.03479i 0.0150504 0.0417266i
\(616\) −4.79337 + 1.28438i −0.193130 + 0.0517492i
\(617\) −31.9546 8.56220i −1.28644 0.344701i −0.450135 0.892961i \(-0.648624\pi\)
−0.836308 + 0.548259i \(0.815291\pi\)
\(618\) 68.8906 + 5.82593i 2.77119 + 0.234353i
\(619\) −10.8960 2.91956i −0.437945 0.117347i 0.0331080 0.999452i \(-0.489459\pi\)
−0.471054 + 0.882105i \(0.656126\pi\)
\(620\) 1.50880 + 0.871109i 0.0605951 + 0.0349846i
\(621\) 6.23800 + 10.5907i 0.250322 + 0.424990i
\(622\) 3.95479 + 1.05968i 0.158573 + 0.0424894i
\(623\) 2.51067 + 4.34860i 0.100588 + 0.174223i
\(624\) 3.06201 + 1.51627i 0.122578 + 0.0606994i
\(625\) 12.4424 21.5508i 0.497695 0.862034i
\(626\) 19.1962 19.1962i 0.767236 0.767236i
\(627\) −5.58768 6.62006i −0.223150 0.264380i
\(628\) 43.5374i 1.73733i
\(629\) −16.9709 + 16.9709i −0.676672 + 0.676672i
\(630\) −0.0552526 0.591983i −0.00220132 0.0235852i
\(631\) −8.42144 31.4292i −0.335252 1.25118i −0.903595 0.428387i \(-0.859082\pi\)
0.568343 0.822792i \(-0.307585\pi\)
\(632\) 11.0680 41.3064i 0.440262 1.64308i
\(633\) −7.29026 40.6555i −0.289762 1.61591i
\(634\) 67.9052i 2.69686i
\(635\) 0.0351518 + 0.0351518i 0.00139496 + 0.00139496i
\(636\) 29.8509 25.1957i 1.18367 0.999076i
\(637\) −0.408798 + 3.58230i −0.0161972 + 0.141936i
\(638\) 39.3678i 1.55859i
\(639\) −22.7314 32.0665i −0.899242 1.26853i
\(640\) −0.744497 1.28951i −0.0294288 0.0509722i
\(641\) −38.7291 −1.52971 −0.764853 0.644205i \(-0.777189\pi\)
−0.764853 + 0.644205i \(0.777189\pi\)
\(642\) −4.78559 + 6.87688i −0.188872 + 0.271409i
\(643\) 4.85286 18.1111i 0.191378 0.714234i −0.801796 0.597597i \(-0.796122\pi\)
0.993175 0.116636i \(-0.0372112\pi\)
\(644\) −1.90413 + 7.10632i −0.0750333 + 0.280028i
\(645\) 0.384041 + 0.817383i 0.0151216 + 0.0321844i
\(646\) 17.8156 0.700946
\(647\) 23.4153 + 40.5564i 0.920549 + 1.59444i 0.798567 + 0.601906i \(0.205592\pi\)
0.121982 + 0.992532i \(0.461075\pi\)
\(648\) 22.5222 + 1.70748i 0.884754 + 0.0670763i
\(649\) 7.58501i 0.297738i
\(650\) 25.3247 + 31.8491i 0.993316 + 1.24923i
\(651\) 10.4104 + 3.75492i 0.408015 + 0.147167i
\(652\) 0.799830 + 0.799830i 0.0313238 + 0.0313238i
\(653\) 3.05664i 0.119616i −0.998210 0.0598078i \(-0.980951\pi\)
0.998210 0.0598078i \(-0.0190488\pi\)
\(654\) −24.3853 8.79554i −0.953541 0.343933i
\(655\) −0.147333 + 0.549854i −0.00575677 + 0.0214846i
\(656\) −1.02586 3.82855i −0.0400530 0.149480i
\(657\) 15.5365 33.8290i 0.606138 1.31979i
\(658\) 0.113666 0.113666i 0.00443115 0.00443115i
\(659\) 38.9037i 1.51547i −0.652560 0.757737i \(-0.726305\pi\)
0.652560 0.757737i \(-0.273695\pi\)
\(660\) 0.316855 0.878470i 0.0123336 0.0341944i
\(661\) 3.27339 3.27339i 0.127320 0.127320i −0.640575 0.767895i \(-0.721304\pi\)
0.767895 + 0.640575i \(0.221304\pi\)
\(662\) −11.6657 + 20.2055i −0.453399 + 0.785310i
\(663\) −17.4370 8.63460i −0.677197 0.335340i
\(664\) 14.0343 + 24.3081i 0.544637 + 0.943338i
\(665\) 0.214199 + 0.0573946i 0.00830630 + 0.00222567i
\(666\) −18.1512 48.9845i −0.703347 1.89811i
\(667\) 18.0420 + 10.4165i 0.698588 + 0.403330i
\(668\) 29.6221 + 7.93722i 1.14611 + 0.307100i
\(669\) −16.4026 34.9110i −0.634163 1.34974i
\(670\) −1.25115 0.335245i −0.0483363 0.0129517i
\(671\) −10.3041 + 2.76097i −0.397785 + 0.106586i
\(672\) −6.98924 8.28057i −0.269616 0.319430i
\(673\) −11.9301 6.88784i −0.459871 0.265507i 0.252119 0.967696i \(-0.418873\pi\)
−0.711990 + 0.702190i \(0.752206\pi\)
\(674\) −8.69017 + 32.4322i −0.334733 + 1.24924i
\(675\) −22.5774 12.7745i −0.869004 0.491691i
\(676\) −38.6699 + 11.8075i −1.48730 + 0.454135i
\(677\) −16.1061 + 9.29888i −0.619009 + 0.357385i −0.776483 0.630138i \(-0.782998\pi\)
0.157474 + 0.987523i \(0.449665\pi\)
\(678\) 13.9591 20.0592i 0.536096 0.770369i
\(679\) −1.81140 −0.0695153
\(680\) 0.342764 + 0.593686i 0.0131444 + 0.0227668i
\(681\) 22.9166 + 15.9475i 0.878165 + 0.611111i
\(682\) 20.1954 + 20.1954i 0.773322 + 0.773322i
\(683\) −14.9180 + 3.99726i −0.570820 + 0.152951i −0.532673 0.846321i \(-0.678812\pi\)
−0.0381474 + 0.999272i \(0.512146\pi\)
\(684\) −9.84997 + 21.4472i −0.376623 + 0.820052i
\(685\) −0.493618 + 0.854972i −0.0188602 + 0.0326668i
\(686\) 1.13029 1.95771i 0.0431545 0.0747458i
\(687\) −24.5849 + 11.5510i −0.937973 + 0.440699i
\(688\) 2.81807 + 1.62701i 0.107438 + 0.0620293i
\(689\) 2.96433 25.9764i 0.112932 0.989623i
\(690\) −0.523734 0.620499i −0.0199382 0.0236220i
\(691\) −38.7792 + 10.3909i −1.47523 + 0.395287i −0.904721 0.426004i \(-0.859921\pi\)
−0.570510 + 0.821291i \(0.693254\pi\)
\(692\) 17.3655 10.0260i 0.660137 0.381130i
\(693\) 0.996201 5.84783i 0.0378425 0.222141i
\(694\) −44.2326 44.2326i −1.67905 1.67905i
\(695\) −0.719956 + 0.719956i −0.0273095 + 0.0273095i
\(696\) 34.6495 16.2798i 1.31339 0.617084i
\(697\) 5.84187 + 21.8022i 0.221277 + 0.825816i
\(698\) 7.04819 4.06927i 0.266778 0.154024i
\(699\) −2.25978 12.6021i −0.0854729 0.476655i
\(700\) −4.01868 14.9979i −0.151892 0.566868i
\(701\) −38.7123 −1.46214 −0.731071 0.682302i \(-0.760979\pi\)
−0.731071 + 0.682302i \(0.760979\pi\)
\(702\) 32.9190 26.6460i 1.24245 1.00569i
\(703\) 19.4841 0.734855
\(704\) −6.67775 24.9217i −0.251677 0.939273i
\(705\) 0.00190586 + 0.0106284i 7.17789e−5 + 0.000400288i
\(706\) 40.7823 23.5457i 1.53486 0.886154i
\(707\) 4.42865 + 16.5279i 0.166556 + 0.621597i
\(708\) 18.7027 8.78730i 0.702889 0.330247i
\(709\) −17.7853 + 17.7853i −0.667942 + 0.667942i −0.957239 0.289297i \(-0.906578\pi\)
0.289297 + 0.957239i \(0.406578\pi\)
\(710\) 1.83610 + 1.83610i 0.0689076 + 0.0689076i
\(711\) 39.3493 + 32.6311i 1.47572 + 1.22376i
\(712\) 10.9134 6.30087i 0.408998 0.236135i
\(713\) 14.5990 3.91179i 0.546736 0.146498i
\(714\) 7.86871 + 9.32253i 0.294479 + 0.348887i
\(715\) −0.249133 0.573247i −0.00931706 0.0214382i
\(716\) 32.4520 + 18.7362i 1.21279 + 0.700204i
\(717\) −16.0947 + 7.56197i −0.601068 + 0.282407i
\(718\) −15.9350 + 27.6003i −0.594691 + 1.03003i
\(719\) 18.9210 32.7721i 0.705634 1.22219i −0.260828 0.965385i \(-0.583996\pi\)
0.966462 0.256809i \(-0.0826711\pi\)
\(720\) 0.143280 0.0133731i 0.00533974 0.000498384i
\(721\) −17.0558 + 4.57009i −0.635192 + 0.170199i
\(722\) 20.1439 + 20.1439i 0.749678 + 0.749678i
\(723\) −19.9602 13.8902i −0.742327 0.516582i
\(724\) 14.8192 + 25.6676i 0.550751 + 0.953929i
\(725\) −43.9683 −1.63294
\(726\) −15.8568 + 22.7862i −0.588501 + 0.845675i
\(727\) −34.0851 + 19.6790i −1.26414 + 0.729854i −0.973874 0.227090i \(-0.927079\pi\)
−0.290271 + 0.956945i \(0.593745\pi\)
\(728\) 8.99030 + 1.02594i 0.333203 + 0.0380238i
\(729\) −13.0912 + 23.6140i −0.484859 + 0.874592i
\(730\) −0.636494 + 2.37543i −0.0235577 + 0.0879185i
\(731\) −16.0479 9.26524i −0.593551 0.342687i
\(732\) 18.7452 + 22.2086i 0.692843 + 0.820853i
\(733\) 29.3171 7.85548i 1.08285 0.290149i 0.327087 0.944994i \(-0.393933\pi\)
0.755763 + 0.654845i \(0.227266\pi\)
\(734\) 32.4756 + 8.70182i 1.19870 + 0.321190i
\(735\) 0.0645732 + 0.137436i 0.00238182 + 0.00506940i
\(736\) −14.2944 3.83016i −0.526897 0.141182i
\(737\) −11.1921 6.46176i −0.412266 0.238022i
\(738\) −48.4309 8.25039i −1.78277 0.303701i
\(739\) −31.5833 8.46272i −1.16181 0.311306i −0.374122 0.927380i \(-0.622056\pi\)
−0.787689 + 0.616073i \(0.788723\pi\)
\(740\) 1.05019 + 1.81898i 0.0386056 + 0.0668669i
\(741\) 5.05297 + 14.9663i 0.185625 + 0.549799i
\(742\) −8.19606 + 14.1960i −0.300887 + 0.521151i
\(743\) −13.7383 + 13.7383i −0.504009 + 0.504009i −0.912681 0.408672i \(-0.865992\pi\)
0.408672 + 0.912681i \(0.365992\pi\)
\(744\) 9.42351 26.1263i 0.345483 0.957838i
\(745\) 1.00912i 0.0369714i
\(746\) 37.0870 37.0870i 1.35785 1.35785i
\(747\) −33.4077 + 3.11811i −1.22232 + 0.114086i
\(748\) 4.95939 + 18.5087i 0.181333 + 0.676745i
\(749\) 0.553815 2.06687i 0.0202360 0.0755217i
\(750\) 3.22656 + 1.16379i 0.117817 + 0.0424956i
\(751\) 34.1075i 1.24460i −0.782779 0.622299i \(-0.786199\pi\)
0.782779 0.622299i \(-0.213801\pi\)
\(752\) 0.0275110 + 0.0275110i 0.00100322 + 0.00100322i
\(753\) 18.8067 + 6.78341i 0.685356 + 0.247201i
\(754\) 26.3208 66.7844i 0.958548 2.43215i
\(755\) 0.624868i 0.0227413i
\(756\) −15.5733 + 4.31839i −0.566397 + 0.157058i
\(757\) −4.67131 8.09095i −0.169782 0.294071i 0.768561 0.639776i \(-0.220973\pi\)
−0.938343 + 0.345706i \(0.887640\pi\)
\(758\) −42.5796 −1.54656
\(759\) −3.44508 7.33243i −0.125049 0.266150i
\(760\) 0.144040 0.537564i 0.00522488 0.0194995i
\(761\) −6.06026 + 22.6172i −0.219684 + 0.819873i 0.764781 + 0.644291i \(0.222847\pi\)
−0.984465 + 0.175582i \(0.943819\pi\)
\(762\) 1.26816 1.82235i 0.0459407 0.0660167i
\(763\) 6.62075 0.239687
\(764\) 37.6310 + 65.1788i 1.36144 + 2.35809i
\(765\) −0.815928 + 0.0761545i −0.0294999 + 0.00275337i
\(766\) 39.2701i 1.41889i
\(767\) 5.07124 12.8674i 0.183112 0.464614i
\(768\) −16.2766 + 13.7383i −0.587330 + 0.495738i
\(769\) 27.4212 + 27.4212i 0.988835 + 0.988835i 0.999938 0.0111038i \(-0.00353452\pi\)
−0.0111038 + 0.999938i \(0.503535\pi\)
\(770\) 0.391883i 0.0141225i
\(771\) 2.36267 + 13.1759i 0.0850896 + 0.474518i
\(772\) −7.15264 + 26.6940i −0.257429 + 0.960739i
\(773\) 6.03203 + 22.5119i