Properties

Label 260.2.o.a.183.3
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.3
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39950 - 0.203483i) q^{2} +(0.0775283 - 0.0775283i) q^{3} +(1.91719 + 0.569548i) q^{4} +(0.871245 - 2.05935i) q^{5} +(-0.124276 + 0.0927250i) q^{6} +(-2.89635 - 2.89635i) q^{7} +(-2.56721 - 1.18720i) q^{8} +2.98798i q^{9} +O(q^{10})\) \(q+(-1.39950 - 0.203483i) q^{2} +(0.0775283 - 0.0775283i) q^{3} +(1.91719 + 0.569548i) q^{4} +(0.871245 - 2.05935i) q^{5} +(-0.124276 + 0.0927250i) q^{6} +(-2.89635 - 2.89635i) q^{7} +(-2.56721 - 1.18720i) q^{8} +2.98798i q^{9} +(-1.63835 + 2.70478i) q^{10} -3.20102i q^{11} +(0.192792 - 0.104480i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(3.46408 + 4.64280i) q^{14} +(-0.0921119 - 0.227204i) q^{15} +(3.35123 + 2.18386i) q^{16} +(-0.217815 + 0.217815i) q^{17} +(0.608002 - 4.18167i) q^{18} -5.01907 q^{19} +(2.84324 - 3.45195i) q^{20} -0.449098 q^{21} +(-0.651354 + 4.47983i) q^{22} +(4.02311 - 4.02311i) q^{23} +(-0.291073 + 0.106990i) q^{24} +(-3.48186 - 3.58840i) q^{25} +(0.845710 + 1.13348i) q^{26} +(0.464238 + 0.464238i) q^{27} +(-3.90325 - 7.20247i) q^{28} -9.89914i q^{29} +(0.0826782 + 0.336715i) q^{30} +2.20528i q^{31} +(-4.24566 - 3.73823i) q^{32} +(-0.248170 - 0.248170i) q^{33} +(0.349153 - 0.260510i) q^{34} +(-8.48804 + 3.44118i) q^{35} +(-1.70180 + 5.72852i) q^{36} +(0.278378 - 0.278378i) q^{37} +(7.02418 + 1.02129i) q^{38} -0.109642 q^{39} +(-4.68152 + 4.25245i) q^{40} +5.39487 q^{41} +(0.628512 + 0.0913838i) q^{42} +(-1.36242 + 1.36242i) q^{43} +(1.82314 - 6.13697i) q^{44} +(6.15330 + 2.60326i) q^{45} +(-6.44897 + 4.81170i) q^{46} +(4.21558 + 4.21558i) q^{47} +(0.429126 - 0.0905041i) q^{48} +9.77772i q^{49} +(4.14268 + 5.73046i) q^{50} +0.0337736i q^{51} +(-0.952927 - 1.75839i) q^{52} +(-0.797227 - 0.797227i) q^{53} +(-0.555235 - 0.744164i) q^{54} +(-6.59204 - 2.78888i) q^{55} +(3.99701 + 10.8741i) q^{56} +(-0.389120 + 0.389120i) q^{57} +(-2.01431 + 13.8538i) q^{58} +9.66566 q^{59} +(-0.0471923 - 0.488055i) q^{60} +10.8601 q^{61} +(0.448738 - 3.08629i) q^{62} +(8.65424 - 8.65424i) q^{63} +(5.18113 + 6.09556i) q^{64} +(-2.07225 + 0.840119i) q^{65} +(0.296815 + 0.397812i) q^{66} +(3.68797 + 3.68797i) q^{67} +(-0.541649 + 0.293537i) q^{68} -0.623810i q^{69} +(12.5792 - 3.08875i) q^{70} +11.8869i q^{71} +(3.54732 - 7.67077i) q^{72} +(0.326289 + 0.326289i) q^{73} +(-0.446235 + 0.332945i) q^{74} +(-0.548145 - 0.00825971i) q^{75} +(-9.62250 - 2.85860i) q^{76} +(-9.27130 + 9.27130i) q^{77} +(0.153443 + 0.0223102i) q^{78} -6.73412 q^{79} +(7.41708 - 4.99869i) q^{80} -8.89195 q^{81} +(-7.55010 - 1.09776i) q^{82} +(-2.35855 + 2.35855i) q^{83} +(-0.861007 - 0.255783i) q^{84} +(0.258788 + 0.638328i) q^{85} +(2.18393 - 1.62947i) q^{86} +(-0.767463 - 0.767463i) q^{87} +(-3.80024 + 8.21770i) q^{88} -16.4054i q^{89} +(-8.08181 - 4.89535i) q^{90} +4.09606i q^{91} +(10.0044 - 5.42171i) q^{92} +(0.170972 + 0.170972i) q^{93} +(-5.04189 - 6.75749i) q^{94} +(-4.37284 + 10.3360i) q^{95} +(-0.618977 + 0.0393405i) q^{96} +(-11.5449 + 11.5449i) q^{97} +(1.98960 - 13.6839i) q^{98} +9.56459 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39950 0.203483i −0.989595 0.143884i
\(3\) 0.0775283 0.0775283i 0.0447610 0.0447610i −0.684372 0.729133i \(-0.739924\pi\)
0.729133 + 0.684372i \(0.239924\pi\)
\(4\) 1.91719 + 0.569548i 0.958595 + 0.284774i
\(5\) 0.871245 2.05935i 0.389633 0.920970i
\(6\) −0.124276 + 0.0927250i −0.0507356 + 0.0378548i
\(7\) −2.89635 2.89635i −1.09472 1.09472i −0.995017 0.0997009i \(-0.968211\pi\)
−0.0997009 0.995017i \(-0.531789\pi\)
\(8\) −2.56721 1.18720i −0.907646 0.419737i
\(9\) 2.98798i 0.995993i
\(10\) −1.63835 + 2.70478i −0.518091 + 0.855325i
\(11\) 3.20102i 0.965145i −0.875856 0.482573i \(-0.839702\pi\)
0.875856 0.482573i \(-0.160298\pi\)
\(12\) 0.192792 0.104480i 0.0556544 0.0301609i
\(13\) −0.707107 0.707107i −0.196116 0.196116i
\(14\) 3.46408 + 4.64280i 0.925815 + 1.24084i
\(15\) −0.0921119 0.227204i −0.0237832 0.0586639i
\(16\) 3.35123 + 2.18386i 0.837808 + 0.545965i
\(17\) −0.217815 + 0.217815i −0.0528279 + 0.0528279i −0.733027 0.680199i \(-0.761893\pi\)
0.680199 + 0.733027i \(0.261893\pi\)
\(18\) 0.608002 4.18167i 0.143308 0.985629i
\(19\) −5.01907 −1.15145 −0.575727 0.817642i \(-0.695281\pi\)
−0.575727 + 0.817642i \(0.695281\pi\)
\(20\) 2.84324 3.45195i 0.635768 0.771880i
\(21\) −0.449098 −0.0980013
\(22\) −0.651354 + 4.47983i −0.138869 + 0.955102i
\(23\) 4.02311 4.02311i 0.838877 0.838877i −0.149834 0.988711i \(-0.547874\pi\)
0.988711 + 0.149834i \(0.0478740\pi\)
\(24\) −0.291073 + 0.106990i −0.0594149 + 0.0218393i
\(25\) −3.48186 3.58840i −0.696373 0.717680i
\(26\) 0.845710 + 1.13348i 0.165857 + 0.222293i
\(27\) 0.464238 + 0.464238i 0.0893426 + 0.0893426i
\(28\) −3.90325 7.20247i −0.737644 1.36114i
\(29\) 9.89914i 1.83822i −0.393995 0.919112i \(-0.628907\pi\)
0.393995 0.919112i \(-0.371093\pi\)
\(30\) 0.0826782 + 0.336715i 0.0150949 + 0.0614754i
\(31\) 2.20528i 0.396081i 0.980194 + 0.198040i \(0.0634577\pi\)
−0.980194 + 0.198040i \(0.936542\pi\)
\(32\) −4.24566 3.73823i −0.750534 0.660832i
\(33\) −0.248170 0.248170i −0.0432008 0.0432008i
\(34\) 0.349153 0.260510i 0.0598793 0.0446771i
\(35\) −8.48804 + 3.44118i −1.43474 + 0.581665i
\(36\) −1.70180 + 5.72852i −0.283633 + 0.954754i
\(37\) 0.278378 0.278378i 0.0457651 0.0457651i −0.683854 0.729619i \(-0.739697\pi\)
0.729619 + 0.683854i \(0.239697\pi\)
\(38\) 7.02418 + 1.02129i 1.13947 + 0.165676i
\(39\) −0.109642 −0.0175567
\(40\) −4.68152 + 4.25245i −0.740214 + 0.672371i
\(41\) 5.39487 0.842537 0.421268 0.906936i \(-0.361585\pi\)
0.421268 + 0.906936i \(0.361585\pi\)
\(42\) 0.628512 + 0.0913838i 0.0969815 + 0.0141008i
\(43\) −1.36242 + 1.36242i −0.207767 + 0.207767i −0.803318 0.595551i \(-0.796934\pi\)
0.595551 + 0.803318i \(0.296934\pi\)
\(44\) 1.82314 6.13697i 0.274848 0.925183i
\(45\) 6.15330 + 2.60326i 0.917280 + 0.388071i
\(46\) −6.44897 + 4.81170i −0.950849 + 0.709447i
\(47\) 4.21558 + 4.21558i 0.614905 + 0.614905i 0.944220 0.329315i \(-0.106818\pi\)
−0.329315 + 0.944220i \(0.606818\pi\)
\(48\) 0.429126 0.0905041i 0.0619390 0.0130631i
\(49\) 9.77772i 1.39682i
\(50\) 4.14268 + 5.73046i 0.585864 + 0.810410i
\(51\) 0.0337736i 0.00472926i
\(52\) −0.952927 1.75839i −0.132147 0.243845i
\(53\) −0.797227 0.797227i −0.109508 0.109508i 0.650230 0.759737i \(-0.274673\pi\)
−0.759737 + 0.650230i \(0.774673\pi\)
\(54\) −0.555235 0.744164i −0.0755579 0.101268i
\(55\) −6.59204 2.78888i −0.888870 0.376052i
\(56\) 3.99701 + 10.8741i 0.534122 + 1.45311i
\(57\) −0.389120 + 0.389120i −0.0515401 + 0.0515401i
\(58\) −2.01431 + 13.8538i −0.264491 + 1.81910i
\(59\) 9.66566 1.25836 0.629181 0.777259i \(-0.283390\pi\)
0.629181 + 0.777259i \(0.283390\pi\)
\(60\) −0.0471923 0.488055i −0.00609250 0.0630077i
\(61\) 10.8601 1.39049 0.695244 0.718774i \(-0.255296\pi\)
0.695244 + 0.718774i \(0.255296\pi\)
\(62\) 0.448738 3.08629i 0.0569897 0.391959i
\(63\) 8.65424 8.65424i 1.09033 1.09033i
\(64\) 5.18113 + 6.09556i 0.647641 + 0.761945i
\(65\) −2.07225 + 0.840119i −0.257030 + 0.104204i
\(66\) 0.296815 + 0.397812i 0.0365354 + 0.0489672i
\(67\) 3.68797 + 3.68797i 0.450557 + 0.450557i 0.895539 0.444982i \(-0.146790\pi\)
−0.444982 + 0.895539i \(0.646790\pi\)
\(68\) −0.541649 + 0.293537i −0.0656846 + 0.0355966i
\(69\) 0.623810i 0.0750979i
\(70\) 12.5792 3.08875i 1.50350 0.369176i
\(71\) 11.8869i 1.41071i 0.708854 + 0.705356i \(0.249213\pi\)
−0.708854 + 0.705356i \(0.750787\pi\)
\(72\) 3.54732 7.67077i 0.418055 0.904009i
\(73\) 0.326289 + 0.326289i 0.0381893 + 0.0381893i 0.725944 0.687754i \(-0.241403\pi\)
−0.687754 + 0.725944i \(0.741403\pi\)
\(74\) −0.446235 + 0.332945i −0.0518738 + 0.0387040i
\(75\) −0.548145 0.00825971i −0.0632944 0.000953749i
\(76\) −9.62250 2.85860i −1.10378 0.327904i
\(77\) −9.27130 + 9.27130i −1.05656 + 1.05656i
\(78\) 0.153443 + 0.0223102i 0.0173740 + 0.00252613i
\(79\) −6.73412 −0.757647 −0.378824 0.925469i \(-0.623671\pi\)
−0.378824 + 0.925469i \(0.623671\pi\)
\(80\) 7.41708 4.99869i 0.829255 0.558870i
\(81\) −8.89195 −0.987995
\(82\) −7.55010 1.09776i −0.833770 0.121228i
\(83\) −2.35855 + 2.35855i −0.258885 + 0.258885i −0.824600 0.565716i \(-0.808600\pi\)
0.565716 + 0.824600i \(0.308600\pi\)
\(84\) −0.861007 0.255783i −0.0939435 0.0279082i
\(85\) 0.258788 + 0.638328i 0.0280695 + 0.0692364i
\(86\) 2.18393 1.62947i 0.235499 0.175710i
\(87\) −0.767463 0.767463i −0.0822807 0.0822807i
\(88\) −3.80024 + 8.21770i −0.405107 + 0.876010i
\(89\) 16.4054i 1.73897i −0.493961 0.869484i \(-0.664451\pi\)
0.493961 0.869484i \(-0.335549\pi\)
\(90\) −8.08181 4.89535i −0.851898 0.516015i
\(91\) 4.09606i 0.429384i
\(92\) 10.0044 5.42171i 1.04303 0.565253i
\(93\) 0.170972 + 0.170972i 0.0177290 + 0.0177290i
\(94\) −5.04189 6.75749i −0.520032 0.696982i
\(95\) −4.37284 + 10.3360i −0.448644 + 1.06045i
\(96\) −0.618977 + 0.0393405i −0.0631741 + 0.00401517i
\(97\) −11.5449 + 11.5449i −1.17221 + 1.17221i −0.190525 + 0.981682i \(0.561019\pi\)
−0.981682 + 0.190525i \(0.938981\pi\)
\(98\) 1.98960 13.6839i 0.200980 1.38228i
\(99\) 9.56459 0.961278
\(100\) −4.63163 8.86273i −0.463163 0.886273i
\(101\) 7.98198 0.794236 0.397118 0.917767i \(-0.370010\pi\)
0.397118 + 0.917767i \(0.370010\pi\)
\(102\) 0.00687236 0.0472662i 0.000680465 0.00468005i
\(103\) 4.94955 4.94955i 0.487694 0.487694i −0.419884 0.907578i \(-0.637929\pi\)
0.907578 + 0.419884i \(0.137929\pi\)
\(104\) 0.975817 + 2.65477i 0.0956867 + 0.260321i
\(105\) −0.391275 + 0.924852i −0.0381845 + 0.0902563i
\(106\) 0.953495 + 1.27794i 0.0926117 + 0.124124i
\(107\) 10.5156 + 10.5156i 1.01658 + 1.01658i 0.999860 + 0.0167221i \(0.00532305\pi\)
0.0167221 + 0.999860i \(0.494677\pi\)
\(108\) 0.625626 + 1.15444i 0.0602009 + 0.111086i
\(109\) 0.690455i 0.0661336i 0.999453 + 0.0330668i \(0.0105274\pi\)
−0.999453 + 0.0330668i \(0.989473\pi\)
\(110\) 8.65805 + 5.24440i 0.825513 + 0.500033i
\(111\) 0.0431643i 0.00409698i
\(112\) −3.38111 16.0316i −0.319485 1.51484i
\(113\) −3.03257 3.03257i −0.285280 0.285280i 0.549931 0.835210i \(-0.314654\pi\)
−0.835210 + 0.549931i \(0.814654\pi\)
\(114\) 0.623751 0.465393i 0.0584197 0.0435880i
\(115\) −4.77989 11.7901i −0.445727 1.09943i
\(116\) 5.63803 18.9785i 0.523478 1.76211i
\(117\) 2.11282 2.11282i 0.195330 0.195330i
\(118\) −13.5271 1.96680i −1.24527 0.181058i
\(119\) 1.26174 0.115663
\(120\) −0.0332654 + 0.692635i −0.00303670 + 0.0632287i
\(121\) 0.753441 0.0684947
\(122\) −15.1986 2.20984i −1.37602 0.200069i
\(123\) 0.418255 0.418255i 0.0377127 0.0377127i
\(124\) −1.25601 + 4.22795i −0.112793 + 0.379681i
\(125\) −10.4233 + 4.04401i −0.932292 + 0.361707i
\(126\) −13.8726 + 10.3506i −1.23587 + 0.922105i
\(127\) 0.806054 + 0.806054i 0.0715257 + 0.0715257i 0.741965 0.670439i \(-0.233894\pi\)
−0.670439 + 0.741965i \(0.733894\pi\)
\(128\) −6.01064 9.58500i −0.531271 0.847202i
\(129\) 0.211252i 0.0185997i
\(130\) 3.07105 0.754078i 0.269349 0.0661370i
\(131\) 19.2242i 1.67962i −0.542877 0.839812i \(-0.682665\pi\)
0.542877 0.839812i \(-0.317335\pi\)
\(132\) −0.334444 0.617133i −0.0291096 0.0537146i
\(133\) 14.5370 + 14.5370i 1.26052 + 1.26052i
\(134\) −4.41087 5.91175i −0.381041 0.510697i
\(135\) 1.36049 0.551564i 0.117093 0.0474711i
\(136\) 0.817766 0.300588i 0.0701229 0.0257752i
\(137\) −3.52426 + 3.52426i −0.301097 + 0.301097i −0.841443 0.540346i \(-0.818293\pi\)
0.540346 + 0.841443i \(0.318293\pi\)
\(138\) −0.126935 + 0.873021i −0.0108054 + 0.0743164i
\(139\) 5.61731 0.476454 0.238227 0.971209i \(-0.423434\pi\)
0.238227 + 0.971209i \(0.423434\pi\)
\(140\) −18.2331 + 1.76304i −1.54098 + 0.149004i
\(141\) 0.653652 0.0550475
\(142\) 2.41877 16.6356i 0.202979 1.39603i
\(143\) −2.26347 + 2.26347i −0.189281 + 0.189281i
\(144\) −6.52533 + 10.0134i −0.543778 + 0.834451i
\(145\) −20.3858 8.62458i −1.69295 0.716232i
\(146\) −0.390247 0.523035i −0.0322971 0.0432867i
\(147\) 0.758049 + 0.758049i 0.0625229 + 0.0625229i
\(148\) 0.692253 0.375154i 0.0569029 0.0308375i
\(149\) 5.19488i 0.425581i 0.977098 + 0.212791i \(0.0682552\pi\)
−0.977098 + 0.212791i \(0.931745\pi\)
\(150\) 0.765448 + 0.123098i 0.0624985 + 0.0100509i
\(151\) 2.67892i 0.218008i −0.994041 0.109004i \(-0.965234\pi\)
0.994041 0.109004i \(-0.0347661\pi\)
\(152\) 12.8850 + 5.95862i 1.04511 + 0.483308i
\(153\) −0.650827 0.650827i −0.0526162 0.0526162i
\(154\) 14.8617 11.0886i 1.19759 0.893546i
\(155\) 4.54146 + 1.92134i 0.364779 + 0.154326i
\(156\) −0.210204 0.0624461i −0.0168298 0.00499969i
\(157\) 12.4188 12.4188i 0.991132 0.991132i −0.00882890 0.999961i \(-0.502810\pi\)
0.999961 + 0.00882890i \(0.00281036\pi\)
\(158\) 9.42438 + 1.37028i 0.749764 + 0.109013i
\(159\) −0.123615 −0.00980332
\(160\) −11.3973 + 5.48640i −0.901039 + 0.433738i
\(161\) −23.3047 −1.83667
\(162\) 12.4443 + 1.80936i 0.977714 + 0.142157i
\(163\) 16.7392 16.7392i 1.31112 1.31112i 0.390522 0.920594i \(-0.372295\pi\)
0.920594 0.390522i \(-0.127705\pi\)
\(164\) 10.3430 + 3.07263i 0.807651 + 0.239932i
\(165\) −0.727286 + 0.294852i −0.0566191 + 0.0229542i
\(166\) 3.78071 2.82086i 0.293440 0.218941i
\(167\) −1.96065 1.96065i −0.151720 0.151720i 0.627166 0.778886i \(-0.284215\pi\)
−0.778886 + 0.627166i \(0.784215\pi\)
\(168\) 1.15293 + 0.533168i 0.0889504 + 0.0411348i
\(169\) 1.00000i 0.0769231i
\(170\) −0.232284 0.945998i −0.0178154 0.0725547i
\(171\) 14.9969i 1.14684i
\(172\) −3.38797 + 1.83605i −0.258331 + 0.139998i
\(173\) 9.64751 + 9.64751i 0.733486 + 0.733486i 0.971309 0.237822i \(-0.0764336\pi\)
−0.237822 + 0.971309i \(0.576434\pi\)
\(174\) 0.917898 + 1.23023i 0.0695857 + 0.0932634i
\(175\) −0.308572 + 20.4780i −0.0233258 + 1.54799i
\(176\) 6.99060 10.7274i 0.526936 0.808606i
\(177\) 0.749362 0.749362i 0.0563255 0.0563255i
\(178\) −3.33822 + 22.9593i −0.250210 + 1.72087i
\(179\) −23.7480 −1.77501 −0.887503 0.460801i \(-0.847562\pi\)
−0.887503 + 0.460801i \(0.847562\pi\)
\(180\) 10.3144 + 8.49555i 0.768787 + 0.633221i
\(181\) 7.42358 0.551791 0.275895 0.961188i \(-0.411026\pi\)
0.275895 + 0.961188i \(0.411026\pi\)
\(182\) 0.833478 5.73243i 0.0617815 0.424916i
\(183\) 0.841961 0.841961i 0.0622396 0.0622396i
\(184\) −15.1044 + 5.55195i −1.11351 + 0.409295i
\(185\) −0.330743 0.815814i −0.0243167 0.0599799i
\(186\) −0.204485 0.274065i −0.0149936 0.0200954i
\(187\) 0.697231 + 0.697231i 0.0509866 + 0.0509866i
\(188\) 5.68109 + 10.4830i 0.414336 + 0.764553i
\(189\) 2.68919i 0.195610i
\(190\) 8.22298 13.5755i 0.596558 0.984867i
\(191\) 12.9193i 0.934807i −0.884044 0.467404i \(-0.845189\pi\)
0.884044 0.467404i \(-0.154811\pi\)
\(192\) 0.874262 + 0.0708943i 0.0630945 + 0.00511636i
\(193\) 15.4343 + 15.4343i 1.11098 + 1.11098i 0.993018 + 0.117964i \(0.0376368\pi\)
0.117964 + 0.993018i \(0.462363\pi\)
\(194\) 18.5063 13.8079i 1.32867 0.991348i
\(195\) −0.0955246 + 0.225790i −0.00684066 + 0.0161692i
\(196\) −5.56888 + 18.7457i −0.397777 + 1.33898i
\(197\) 3.46048 3.46048i 0.246549 0.246549i −0.573004 0.819553i \(-0.694222\pi\)
0.819553 + 0.573004i \(0.194222\pi\)
\(198\) −13.3856 1.94623i −0.951275 0.138313i
\(199\) −16.8046 −1.19125 −0.595624 0.803263i \(-0.703095\pi\)
−0.595624 + 0.803263i \(0.703095\pi\)
\(200\) 4.67854 + 13.3458i 0.330823 + 0.943693i
\(201\) 0.571844 0.0403348
\(202\) −11.1708 1.62420i −0.785972 0.114278i
\(203\) −28.6714 + 28.6714i −2.01234 + 2.01234i
\(204\) −0.0192357 + 0.0647505i −0.00134677 + 0.00453344i
\(205\) 4.70025 11.1099i 0.328280 0.775951i
\(206\) −7.93403 + 5.91974i −0.552790 + 0.412448i
\(207\) 12.0210 + 12.0210i 0.835515 + 0.835515i
\(208\) −0.825455 3.91390i −0.0572350 0.271380i
\(209\) 16.0662i 1.11132i
\(210\) 0.735780 1.21471i 0.0507736 0.0838230i
\(211\) 15.2868i 1.05239i 0.850365 + 0.526193i \(0.176381\pi\)
−0.850365 + 0.526193i \(0.823619\pi\)
\(212\) −1.07438 1.98249i −0.0737885 0.136158i
\(213\) 0.921568 + 0.921568i 0.0631448 + 0.0631448i
\(214\) −12.5768 16.8563i −0.859734 1.15227i
\(215\) 1.61870 + 3.99270i 0.110394 + 0.272300i
\(216\) −0.640654 1.74294i −0.0435910 0.118592i
\(217\) 6.38728 6.38728i 0.433597 0.433597i
\(218\) 0.140496 0.966291i 0.00951558 0.0654455i
\(219\) 0.0505933 0.00341878
\(220\) −11.0498 9.10129i −0.744976 0.613609i
\(221\) 0.308037 0.0207208
\(222\) −0.00878321 + 0.0604084i −0.000589490 + 0.00405435i
\(223\) 2.51119 2.51119i 0.168162 0.168162i −0.618009 0.786171i \(-0.712060\pi\)
0.786171 + 0.618009i \(0.212060\pi\)
\(224\) 1.46971 + 23.1242i 0.0981990 + 1.54505i
\(225\) 10.7221 10.4037i 0.714805 0.693582i
\(226\) 3.62700 + 4.86115i 0.241264 + 0.323359i
\(227\) −2.16630 2.16630i −0.143783 0.143783i 0.631551 0.775334i \(-0.282418\pi\)
−0.775334 + 0.631551i \(0.782418\pi\)
\(228\) −0.967638 + 0.524394i −0.0640834 + 0.0347288i
\(229\) 18.7200i 1.23705i −0.785764 0.618526i \(-0.787730\pi\)
0.785764 0.618526i \(-0.212270\pi\)
\(230\) 4.29036 + 17.4729i 0.282898 + 1.15213i
\(231\) 1.43757i 0.0945855i
\(232\) −11.7522 + 25.4132i −0.771571 + 1.66846i
\(233\) −14.6417 14.6417i −0.959209 0.959209i 0.0399907 0.999200i \(-0.487267\pi\)
−0.999200 + 0.0399907i \(0.987267\pi\)
\(234\) −3.38681 + 2.52696i −0.221403 + 0.165193i
\(235\) 12.3542 5.00856i 0.805896 0.326722i
\(236\) 18.5309 + 5.50505i 1.20626 + 0.358349i
\(237\) −0.522084 + 0.522084i −0.0339130 + 0.0339130i
\(238\) −1.76580 0.256742i −0.114460 0.0166421i
\(239\) 18.2418 1.17997 0.589983 0.807416i \(-0.299135\pi\)
0.589983 + 0.807416i \(0.299135\pi\)
\(240\) 0.187494 0.962573i 0.0121027 0.0621338i
\(241\) −5.90974 −0.380680 −0.190340 0.981718i \(-0.560959\pi\)
−0.190340 + 0.981718i \(0.560959\pi\)
\(242\) −1.05444 0.153312i −0.0677819 0.00985529i
\(243\) −2.08209 + 2.08209i −0.133566 + 0.133566i
\(244\) 20.8208 + 6.18532i 1.33291 + 0.395975i
\(245\) 20.1358 + 8.51879i 1.28643 + 0.544245i
\(246\) −0.670454 + 0.500239i −0.0427466 + 0.0318941i
\(247\) 3.54902 + 3.54902i 0.225819 + 0.225819i
\(248\) 2.61811 5.66143i 0.166250 0.359501i
\(249\) 0.365709i 0.0231759i
\(250\) 15.4103 3.53861i 0.974635 0.223801i
\(251\) 8.09939i 0.511229i −0.966779 0.255615i \(-0.917722\pi\)
0.966779 0.255615i \(-0.0822778\pi\)
\(252\) 21.5208 11.6628i 1.35568 0.734688i
\(253\) −12.8781 12.8781i −0.809638 0.809638i
\(254\) −0.964053 1.29209i −0.0604901 0.0810729i
\(255\) 0.0695518 + 0.0294251i 0.00435551 + 0.00184267i
\(256\) 6.46150 + 14.6372i 0.403843 + 0.914828i
\(257\) 1.70618 1.70618i 0.106429 0.106429i −0.651887 0.758316i \(-0.726022\pi\)
0.758316 + 0.651887i \(0.226022\pi\)
\(258\) 0.0429861 0.295646i 0.00267620 0.0184061i
\(259\) −1.61256 −0.100200
\(260\) −4.45137 + 0.430424i −0.276063 + 0.0266937i
\(261\) 29.5784 1.83086
\(262\) −3.91179 + 26.9042i −0.241671 + 1.66215i
\(263\) −15.3744 + 15.3744i −0.948026 + 0.948026i −0.998715 0.0506886i \(-0.983858\pi\)
0.0506886 + 0.998715i \(0.483858\pi\)
\(264\) 0.342478 + 0.931730i 0.0210780 + 0.0573440i
\(265\) −2.33635 + 0.947191i −0.143521 + 0.0581855i
\(266\) −17.3865 23.3025i −1.06603 1.42877i
\(267\) −1.27188 1.27188i −0.0778379 0.0778379i
\(268\) 4.97006 + 9.17101i 0.303595 + 0.560209i
\(269\) 3.62354i 0.220931i −0.993880 0.110466i \(-0.964766\pi\)
0.993880 0.110466i \(-0.0352342\pi\)
\(270\) −2.01624 + 0.495076i −0.122705 + 0.0301293i
\(271\) 31.3377i 1.90363i −0.306669 0.951816i \(-0.599215\pi\)
0.306669 0.951816i \(-0.400785\pi\)
\(272\) −1.20563 + 0.254271i −0.0731019 + 0.0154174i
\(273\) 0.317560 + 0.317560i 0.0192196 + 0.0192196i
\(274\) 5.64931 4.21506i 0.341288 0.254641i
\(275\) −11.4866 + 11.1455i −0.692666 + 0.672101i
\(276\) 0.355289 1.19596i 0.0213859 0.0719884i
\(277\) −17.8280 + 17.8280i −1.07118 + 1.07118i −0.0739185 + 0.997264i \(0.523550\pi\)
−0.997264 + 0.0739185i \(0.976450\pi\)
\(278\) −7.86142 1.14303i −0.471497 0.0685542i
\(279\) −6.58934 −0.394494
\(280\) 25.8759 + 1.24275i 1.54638 + 0.0742685i
\(281\) −22.1766 −1.32294 −0.661472 0.749970i \(-0.730068\pi\)
−0.661472 + 0.749970i \(0.730068\pi\)
\(282\) −0.914785 0.133007i −0.0544747 0.00792046i
\(283\) 1.53553 1.53553i 0.0912776 0.0912776i −0.659994 0.751271i \(-0.729441\pi\)
0.751271 + 0.659994i \(0.229441\pi\)
\(284\) −6.77014 + 22.7894i −0.401734 + 1.35230i
\(285\) 0.462316 + 1.14035i 0.0273852 + 0.0675487i
\(286\) 3.62829 2.70714i 0.214545 0.160077i
\(287\) −15.6254 15.6254i −0.922340 0.922340i
\(288\) 11.1697 12.6859i 0.658184 0.747527i
\(289\) 16.9051i 0.994418i
\(290\) 26.7750 + 16.2183i 1.57228 + 0.952368i
\(291\) 1.79011i 0.104938i
\(292\) 0.439721 + 0.811396i 0.0257327 + 0.0474833i
\(293\) −16.3496 16.3496i −0.955155 0.955155i 0.0438817 0.999037i \(-0.486028\pi\)
−0.999037 + 0.0438817i \(0.986028\pi\)
\(294\) −0.906638 1.21514i −0.0528762 0.0708683i
\(295\) 8.42116 19.9050i 0.490299 1.15891i
\(296\) −1.04514 + 0.384166i −0.0607478 + 0.0223292i
\(297\) 1.48604 1.48604i 0.0862285 0.0862285i
\(298\) 1.05707 7.27023i 0.0612344 0.421153i
\(299\) −5.68954 −0.329035
\(300\) −1.04619 0.328030i −0.0604020 0.0189388i
\(301\) 7.89208 0.454892
\(302\) −0.545115 + 3.74915i −0.0313678 + 0.215739i
\(303\) 0.618829 0.618829i 0.0355508 0.0355508i
\(304\) −16.8201 10.9610i −0.964696 0.628654i
\(305\) 9.46177 22.3647i 0.541779 1.28060i
\(306\) 0.778399 + 1.04326i 0.0444981 + 0.0596394i
\(307\) 13.1429 + 13.1429i 0.750106 + 0.750106i 0.974499 0.224393i \(-0.0720399\pi\)
−0.224393 + 0.974499i \(0.572040\pi\)
\(308\) −23.0553 + 12.4944i −1.31370 + 0.711934i
\(309\) 0.767460i 0.0436593i
\(310\) −5.96480 3.61303i −0.338778 0.205206i
\(311\) 6.77287i 0.384054i −0.981390 0.192027i \(-0.938494\pi\)
0.981390 0.192027i \(-0.0615062\pi\)
\(312\) 0.281473 + 0.130166i 0.0159353 + 0.00736920i
\(313\) −3.60255 3.60255i −0.203628 0.203628i 0.597924 0.801553i \(-0.295992\pi\)
−0.801553 + 0.597924i \(0.795992\pi\)
\(314\) −19.9072 + 14.8531i −1.12343 + 0.838211i
\(315\) −10.2822 25.3621i −0.579334 1.42899i
\(316\) −12.9106 3.83540i −0.726277 0.215758i
\(317\) 7.62038 7.62038i 0.428003 0.428003i −0.459944 0.887948i \(-0.652131\pi\)
0.887948 + 0.459944i \(0.152131\pi\)
\(318\) 0.172999 + 0.0251536i 0.00970132 + 0.00141054i
\(319\) −31.6874 −1.77415
\(320\) 17.0669 5.35904i 0.954071 0.299580i
\(321\) 1.63051 0.0910064
\(322\) 32.6149 + 4.74211i 1.81756 + 0.264267i
\(323\) 1.09323 1.09323i 0.0608289 0.0608289i
\(324\) −17.0476 5.06439i −0.947087 0.281355i
\(325\) −0.0753338 + 4.99943i −0.00417877 + 0.277319i
\(326\) −26.8326 + 20.0203i −1.48612 + 1.10882i
\(327\) 0.0535298 + 0.0535298i 0.00296020 + 0.00296020i
\(328\) −13.8498 6.40476i −0.764725 0.353644i
\(329\) 24.4196i 1.34630i
\(330\) 1.07783 0.264655i 0.0593327 0.0145688i
\(331\) 29.2597i 1.60826i 0.594454 + 0.804129i \(0.297368\pi\)
−0.594454 + 0.804129i \(0.702632\pi\)
\(332\) −5.86510 + 3.17848i −0.321889 + 0.174442i
\(333\) 0.831788 + 0.831788i 0.0455817 + 0.0455817i
\(334\) 2.34497 + 3.14289i 0.128311 + 0.171971i
\(335\) 10.8080 4.38170i 0.590502 0.239398i
\(336\) −1.50503 0.980769i −0.0821062 0.0535053i
\(337\) −4.14129 + 4.14129i −0.225591 + 0.225591i −0.810848 0.585257i \(-0.800994\pi\)
0.585257 + 0.810848i \(0.300994\pi\)
\(338\) 0.203483 1.39950i 0.0110680 0.0761227i
\(339\) −0.470219 −0.0255388
\(340\) 0.132586 + 1.37119i 0.00719051 + 0.0743631i
\(341\) 7.05917 0.382275
\(342\) −3.05161 + 20.9881i −0.165012 + 1.13491i
\(343\) 8.04525 8.04525i 0.434403 0.434403i
\(344\) 5.11507 1.88015i 0.275786 0.101371i
\(345\) −1.28464 0.543491i −0.0691629 0.0292606i
\(346\) −11.5386 15.4648i −0.620317 0.831391i
\(347\) −12.3111 12.3111i −0.660893 0.660893i 0.294698 0.955591i \(-0.404781\pi\)
−0.955591 + 0.294698i \(0.904781\pi\)
\(348\) −1.03427 1.90848i −0.0554425 0.102305i
\(349\) 3.85153i 0.206167i −0.994673 0.103084i \(-0.967129\pi\)
0.994673 0.103084i \(-0.0328710\pi\)
\(350\) 4.59876 28.5961i 0.245814 1.52853i
\(351\) 0.656531i 0.0350430i
\(352\) −11.9662 + 13.5905i −0.637799 + 0.724374i
\(353\) 13.2758 + 13.2758i 0.706599 + 0.706599i 0.965818 0.259219i \(-0.0834653\pi\)
−0.259219 + 0.965818i \(0.583465\pi\)
\(354\) −1.20121 + 0.896248i −0.0638437 + 0.0476350i
\(355\) 24.4792 + 10.3564i 1.29922 + 0.549659i
\(356\) 9.34365 31.4522i 0.495213 1.66697i
\(357\) 0.0978204 0.0978204i 0.00517720 0.00517720i
\(358\) 33.2352 + 4.83230i 1.75654 + 0.255395i
\(359\) 8.57461 0.452550 0.226275 0.974063i \(-0.427345\pi\)
0.226275 + 0.974063i \(0.427345\pi\)
\(360\) −12.7062 13.9883i −0.669677 0.737248i
\(361\) 6.19104 0.325844
\(362\) −10.3893 1.51057i −0.546049 0.0793939i
\(363\) 0.0584130 0.0584130i 0.00306589 0.00306589i
\(364\) −2.33290 + 7.85293i −0.122277 + 0.411605i
\(365\) 0.956222 0.387667i 0.0500510 0.0202914i
\(366\) −1.34965 + 1.00700i −0.0705472 + 0.0526366i
\(367\) −4.72502 4.72502i −0.246644 0.246644i 0.572948 0.819592i \(-0.305800\pi\)
−0.819592 + 0.572948i \(0.805800\pi\)
\(368\) 22.2683 4.69646i 1.16082 0.244820i
\(369\) 16.1197i 0.839160i
\(370\) 0.296870 + 1.20903i 0.0154335 + 0.0628545i
\(371\) 4.61810i 0.239760i
\(372\) 0.230409 + 0.425162i 0.0119461 + 0.0220436i
\(373\) 14.0378 + 14.0378i 0.726850 + 0.726850i 0.969991 0.243141i \(-0.0781777\pi\)
−0.243141 + 0.969991i \(0.578178\pi\)
\(374\) −0.833899 1.11765i −0.0431199 0.0577922i
\(375\) −0.494579 + 1.12163i −0.0255399 + 0.0579206i
\(376\) −5.81755 15.8270i −0.300017 0.816214i
\(377\) −6.99975 + 6.99975i −0.360506 + 0.360506i
\(378\) −0.547204 + 3.76352i −0.0281452 + 0.193574i
\(379\) −4.73069 −0.242999 −0.121500 0.992591i \(-0.538770\pi\)
−0.121500 + 0.992591i \(0.538770\pi\)
\(380\) −14.2704 + 17.3256i −0.732057 + 0.888784i
\(381\) 0.124984 0.00640312
\(382\) −2.62885 + 18.0805i −0.134504 + 0.925080i
\(383\) 16.3407 16.3407i 0.834968 0.834968i −0.153223 0.988192i \(-0.548965\pi\)
0.988192 + 0.153223i \(0.0489654\pi\)
\(384\) −1.20910 0.277114i −0.0617018 0.0141414i
\(385\) 11.0153 + 27.1704i 0.561391 + 1.38473i
\(386\) −18.4596 24.7408i −0.939569 1.25927i
\(387\) −4.07087 4.07087i −0.206934 0.206934i
\(388\) −28.7091 + 15.5584i −1.45749 + 0.789858i
\(389\) 6.94354i 0.352051i 0.984386 + 0.176026i \(0.0563242\pi\)
−0.984386 + 0.176026i \(0.943676\pi\)
\(390\) 0.179631 0.296556i 0.00909597 0.0150167i
\(391\) 1.75259i 0.0886322i
\(392\) 11.6081 25.1014i 0.586296 1.26781i
\(393\) −1.49042 1.49042i −0.0751816 0.0751816i
\(394\) −5.54708 + 4.13879i −0.279458 + 0.208509i
\(395\) −5.86707 + 13.8679i −0.295204 + 0.697771i
\(396\) 18.3371 + 5.44749i 0.921476 + 0.273747i
\(397\) 15.4365 15.4365i 0.774734 0.774734i −0.204196 0.978930i \(-0.565458\pi\)
0.978930 + 0.204196i \(0.0654581\pi\)
\(398\) 23.5180 + 3.41945i 1.17885 + 0.171402i
\(399\) 2.25405 0.112844
\(400\) −3.83195 19.6295i −0.191598 0.981474i
\(401\) −2.06489 −0.103116 −0.0515578 0.998670i \(-0.516419\pi\)
−0.0515578 + 0.998670i \(0.516419\pi\)
\(402\) −0.800294 0.116360i −0.0399151 0.00580353i
\(403\) 1.55937 1.55937i 0.0776778 0.0776778i
\(404\) 15.3030 + 4.54612i 0.761351 + 0.226178i
\(405\) −7.74707 + 18.3117i −0.384955 + 0.909914i
\(406\) 45.9597 34.2914i 2.28094 1.70186i
\(407\) −0.891095 0.891095i −0.0441700 0.0441700i
\(408\) 0.0400959 0.0867040i 0.00198505 0.00429249i
\(409\) 5.10061i 0.252209i 0.992017 + 0.126104i \(0.0402474\pi\)
−0.992017 + 0.126104i \(0.959753\pi\)
\(410\) −8.83867 + 14.5919i −0.436511 + 0.720643i
\(411\) 0.546459i 0.0269548i
\(412\) 12.3082 6.67022i 0.606383 0.328618i
\(413\) −27.9952 27.9952i −1.37755 1.37755i
\(414\) −14.3773 19.2694i −0.706604 0.947039i
\(415\) 2.80221 + 6.91197i 0.137555 + 0.339295i
\(416\) 0.358810 + 5.64546i 0.0175921 + 0.276792i
\(417\) 0.435500 0.435500i 0.0213266 0.0213266i
\(418\) 3.26919 22.4846i 0.159901 1.09976i
\(419\) 14.0619 0.686969 0.343484 0.939158i \(-0.388393\pi\)
0.343484 + 0.939158i \(0.388393\pi\)
\(420\) −1.27690 + 1.55027i −0.0623061 + 0.0756452i
\(421\) 4.35784 0.212388 0.106194 0.994345i \(-0.466133\pi\)
0.106194 + 0.994345i \(0.466133\pi\)
\(422\) 3.11060 21.3938i 0.151422 1.04143i
\(423\) −12.5961 + 12.5961i −0.612441 + 0.612441i
\(424\) 1.10018 + 2.99311i 0.0534297 + 0.145358i
\(425\) 1.54001 + 0.0232056i 0.0747015 + 0.00112564i
\(426\) −1.10221 1.47726i −0.0534022 0.0715733i
\(427\) −31.4546 31.4546i −1.52219 1.52219i
\(428\) 14.1713 + 26.1496i 0.684994 + 1.26399i
\(429\) 0.350965i 0.0169448i
\(430\) −1.45292 5.91715i −0.0700660 0.285350i
\(431\) 27.0992i 1.30532i 0.757649 + 0.652662i \(0.226348\pi\)
−0.757649 + 0.652662i \(0.773652\pi\)
\(432\) 0.541937 + 2.56960i 0.0260739 + 0.123630i
\(433\) −6.46531 6.46531i −0.310703 0.310703i 0.534479 0.845182i \(-0.320508\pi\)
−0.845182 + 0.534479i \(0.820508\pi\)
\(434\) −10.2387 + 7.63929i −0.491473 + 0.366697i
\(435\) −2.24913 + 0.911829i −0.107837 + 0.0437188i
\(436\) −0.393247 + 1.32373i −0.0188331 + 0.0633953i
\(437\) −20.1923 + 20.1923i −0.965927 + 0.965927i
\(438\) −0.0708052 0.0102949i −0.00338320 0.000491908i
\(439\) 25.2613 1.20566 0.602829 0.797870i \(-0.294040\pi\)
0.602829 + 0.797870i \(0.294040\pi\)
\(440\) 13.6122 + 14.9857i 0.648936 + 0.714414i
\(441\) −29.2156 −1.39122
\(442\) −0.431097 0.0626803i −0.0205052 0.00298140i
\(443\) 4.83303 4.83303i 0.229624 0.229624i −0.582912 0.812536i \(-0.698087\pi\)
0.812536 + 0.582912i \(0.198087\pi\)
\(444\) 0.0245842 0.0827542i 0.00116671 0.00392734i
\(445\) −33.7845 14.2931i −1.60154 0.677559i
\(446\) −4.02540 + 3.00343i −0.190608 + 0.142216i
\(447\) 0.402750 + 0.402750i 0.0190494 + 0.0190494i
\(448\) 2.64852 32.6613i 0.125131 1.54310i
\(449\) 30.4670i 1.43783i 0.695099 + 0.718914i \(0.255360\pi\)
−0.695099 + 0.718914i \(0.744640\pi\)
\(450\) −17.1225 + 12.3782i −0.807162 + 0.583516i
\(451\) 17.2691i 0.813170i
\(452\) −4.08681 7.54120i −0.192228 0.354708i
\(453\) −0.207692 0.207692i −0.00975823 0.00975823i
\(454\) 2.59093 + 3.47254i 0.121599 + 0.162975i
\(455\) 8.43523 + 3.56867i 0.395450 + 0.167302i
\(456\) 1.46091 0.536990i 0.0684135 0.0251469i
\(457\) 1.84860 1.84860i 0.0864737 0.0864737i −0.662547 0.749021i \(-0.730524\pi\)
0.749021 + 0.662547i \(0.230524\pi\)
\(458\) −3.80920 + 26.1986i −0.177992 + 1.22418i
\(459\) −0.202236 −0.00943956
\(460\) −2.44891 25.3263i −0.114181 1.18084i
\(461\) −20.6755 −0.962955 −0.481477 0.876458i \(-0.659900\pi\)
−0.481477 + 0.876458i \(0.659900\pi\)
\(462\) 0.292522 2.01188i 0.0136093 0.0936013i
\(463\) −15.8454 + 15.8454i −0.736400 + 0.736400i −0.971879 0.235479i \(-0.924334\pi\)
0.235479 + 0.971879i \(0.424334\pi\)
\(464\) 21.6184 33.1743i 1.00361 1.54008i
\(465\) 0.501050 0.203133i 0.0232356 0.00942006i
\(466\) 17.5117 + 23.4704i 0.811213 + 1.08724i
\(467\) 21.5873 + 21.5873i 0.998941 + 0.998941i 0.999999 0.00105852i \(-0.000336938\pi\)
−0.00105852 + 0.999999i \(0.500337\pi\)
\(468\) 5.25403 2.84732i 0.242868 0.131618i
\(469\) 21.3633i 0.986467i
\(470\) −18.3088 + 4.49560i −0.844521 + 0.207367i
\(471\) 1.92562i 0.0887281i
\(472\) −24.8138 11.4750i −1.14215 0.528181i
\(473\) 4.36113 + 4.36113i 0.200525 + 0.200525i
\(474\) 0.836891 0.624421i 0.0384397 0.0286806i
\(475\) 17.4757 + 18.0104i 0.801841 + 0.826375i
\(476\) 2.41899 + 0.718620i 0.110874 + 0.0329379i
\(477\) 2.38210 2.38210i 0.109069 0.109069i
\(478\) −25.5294 3.71190i −1.16769 0.169778i
\(479\) 26.2847 1.20098 0.600488 0.799634i \(-0.294973\pi\)
0.600488 + 0.799634i \(0.294973\pi\)
\(480\) −0.458265 + 1.30897i −0.0209168 + 0.0597459i
\(481\) −0.393686 −0.0179505
\(482\) 8.27067 + 1.20253i 0.376719 + 0.0547738i
\(483\) −1.80677 + 1.80677i −0.0822110 + 0.0822110i
\(484\) 1.44449 + 0.429121i 0.0656586 + 0.0195055i
\(485\) 13.7166 + 33.8335i 0.622838 + 1.53630i
\(486\) 3.33755 2.49021i 0.151394 0.112958i
\(487\) −12.3060 12.3060i −0.557639 0.557639i 0.370996 0.928635i \(-0.379016\pi\)
−0.928635 + 0.370996i \(0.879016\pi\)
\(488\) −27.8800 12.8930i −1.26207 0.583639i
\(489\) 2.59552i 0.117374i
\(490\) −26.4465 16.0193i −1.19473 0.723679i
\(491\) 8.98739i 0.405595i −0.979221 0.202798i \(-0.934997\pi\)
0.979221 0.202798i \(-0.0650034\pi\)
\(492\) 1.04009 0.563657i 0.0468908 0.0254116i
\(493\) 2.15618 + 2.15618i 0.0971096 + 0.0971096i
\(494\) −4.24468 5.68901i −0.190977 0.255960i
\(495\) 8.33311 19.6969i 0.374545 0.885308i
\(496\) −4.81604 + 7.39042i −0.216246 + 0.331840i
\(497\) 34.4286 34.4286i 1.54433 1.54433i
\(498\) 0.0744155 0.511809i 0.00333464 0.0229347i
\(499\) −1.43936 −0.0644347 −0.0322173 0.999481i \(-0.510257\pi\)
−0.0322173 + 0.999481i \(0.510257\pi\)
\(500\) −22.2868 + 1.81654i −0.996695 + 0.0812379i
\(501\) −0.304012 −0.0135823
\(502\) −1.64809 + 11.3351i −0.0735578 + 0.505910i
\(503\) −22.4761 + 22.4761i −1.00216 + 1.00216i −0.00216153 + 0.999998i \(0.500688\pi\)
−0.999998 + 0.00216153i \(0.999312\pi\)
\(504\) −32.4915 + 11.9430i −1.44729 + 0.531982i
\(505\) 6.95426 16.4377i 0.309460 0.731468i
\(506\) 15.4024 + 20.6433i 0.684719 + 0.917707i
\(507\) 0.0775283 + 0.0775283i 0.00344315 + 0.00344315i
\(508\) 1.08627 + 2.00445i 0.0481955 + 0.0889329i
\(509\) 25.4007i 1.12587i 0.826502 + 0.562934i \(0.190327\pi\)
−0.826502 + 0.562934i \(0.809673\pi\)
\(510\) −0.0913502 0.0553330i −0.00404505 0.00245019i
\(511\) 1.89010i 0.0836130i
\(512\) −6.06442 21.7996i −0.268012 0.963416i
\(513\) −2.33004 2.33004i −0.102874 0.102874i
\(514\) −2.73497 + 2.04062i −0.120635 + 0.0900078i
\(515\) −5.88060 14.5051i −0.259130 0.639173i
\(516\) −0.120318 + 0.405009i −0.00529670 + 0.0178295i
\(517\) 13.4942 13.4942i 0.593473 0.593473i
\(518\) 2.25678 + 0.328129i 0.0991571 + 0.0144172i
\(519\) 1.49591 0.0656631
\(520\) 6.31727 + 0.303401i 0.277031 + 0.0133050i
\(521\) −9.27032 −0.406140 −0.203070 0.979164i \(-0.565092\pi\)
−0.203070 + 0.979164i \(0.565092\pi\)
\(522\) −41.3950 6.01870i −1.81181 0.263432i
\(523\) 16.5690 16.5690i 0.724513 0.724513i −0.245008 0.969521i \(-0.578791\pi\)
0.969521 + 0.245008i \(0.0787907\pi\)
\(524\) 10.9491 36.8564i 0.478313 1.61008i
\(525\) 1.56370 + 1.61155i 0.0682454 + 0.0703336i
\(526\) 24.6449 18.3880i 1.07457 0.801755i
\(527\) −0.480344 0.480344i −0.0209241 0.0209241i
\(528\) −0.289706 1.37364i −0.0126078 0.0597801i
\(529\) 9.37086i 0.407429i
\(530\) 3.46246 0.850184i 0.150399 0.0369296i
\(531\) 28.8808i 1.25332i
\(532\) 19.5907 + 36.1497i 0.849363 + 1.56729i
\(533\) −3.81475 3.81475i −0.165235 0.165235i
\(534\) 1.52119 + 2.03880i 0.0658283 + 0.0882276i
\(535\) 30.8170 12.4937i 1.33234 0.540148i
\(536\) −5.08945 13.8461i −0.219831 0.598062i
\(537\) −1.84114 + 1.84114i −0.0794510 + 0.0794510i
\(538\) −0.737329 + 5.07114i −0.0317885 + 0.218632i
\(539\) 31.2987 1.34813
\(540\) 2.92247 0.282587i 0.125763 0.0121606i
\(541\) −12.4118 −0.533626 −0.266813 0.963748i \(-0.585971\pi\)
−0.266813 + 0.963748i \(0.585971\pi\)
\(542\) −6.37669 + 43.8571i −0.273902 + 1.88382i
\(543\) 0.575537 0.575537i 0.0246987 0.0246987i
\(544\) 1.73901 0.110527i 0.0745595 0.00473880i
\(545\) 1.42189 + 0.601556i 0.0609071 + 0.0257678i
\(546\) −0.379807 0.509043i −0.0162542 0.0217850i
\(547\) 9.71112 + 9.71112i 0.415217 + 0.415217i 0.883551 0.468334i \(-0.155146\pi\)
−0.468334 + 0.883551i \(0.655146\pi\)
\(548\) −8.76390 + 4.74943i −0.374375 + 0.202886i
\(549\) 32.4496i 1.38492i
\(550\) 18.3433 13.2608i 0.782163 0.565444i
\(551\) 49.6845i 2.11663i
\(552\) −0.740585 + 1.60145i −0.0315214 + 0.0681623i
\(553\) 19.5044 + 19.5044i 0.829410 + 0.829410i
\(554\) 28.5780 21.3226i 1.21416 0.905910i
\(555\) −0.0888906 0.0376067i −0.00377320 0.00159632i
\(556\) 10.7695 + 3.19933i 0.456727 + 0.135682i
\(557\) 2.86118 2.86118i 0.121232 0.121232i −0.643888 0.765120i \(-0.722680\pi\)
0.765120 + 0.643888i \(0.222680\pi\)
\(558\) 9.22177 + 1.34082i 0.390389 + 0.0567614i
\(559\) 1.92675 0.0814928
\(560\) −35.9604 7.00454i −1.51961 0.295996i
\(561\) 0.108110 0.00456442
\(562\) 31.0361 + 4.51256i 1.30918 + 0.190351i
\(563\) 12.8341 12.8341i 0.540893 0.540893i −0.382898 0.923791i \(-0.625074\pi\)
0.923791 + 0.382898i \(0.125074\pi\)
\(564\) 1.25318 + 0.372286i 0.0527682 + 0.0156761i
\(565\) −8.88723 + 3.60301i −0.373889 + 0.151580i
\(566\) −2.46142 + 1.83651i −0.103461 + 0.0771945i
\(567\) 25.7542 + 25.7542i 1.08158 + 1.08158i
\(568\) 14.1120 30.5161i 0.592128 1.28043i
\(569\) 12.1495i 0.509334i 0.967029 + 0.254667i \(0.0819658\pi\)
−0.967029 + 0.254667i \(0.918034\pi\)
\(570\) −0.414968 1.68999i −0.0173811 0.0707861i
\(571\) 19.5871i 0.819695i 0.912154 + 0.409848i \(0.134418\pi\)
−0.912154 + 0.409848i \(0.865582\pi\)
\(572\) −5.62865 + 3.05034i −0.235345 + 0.127541i
\(573\) −1.00161 1.00161i −0.0418429 0.0418429i
\(574\) 18.6883 + 25.0473i 0.780033 + 1.04545i
\(575\) −28.4445 0.428615i −1.18622 0.0178745i
\(576\) −18.2134 + 15.4811i −0.758892 + 0.645046i
\(577\) −3.41237 + 3.41237i −0.142059 + 0.142059i −0.774560 0.632501i \(-0.782028\pi\)
0.632501 + 0.774560i \(0.282028\pi\)
\(578\) 3.43990 23.6587i 0.143081 0.984071i
\(579\) 2.39318 0.0994572
\(580\) −34.1714 28.1457i −1.41889 1.16868i
\(581\) 13.6624 0.566812
\(582\) 0.364257 2.50526i 0.0150989 0.103846i
\(583\) −2.55194 + 2.55194i −0.105691 + 0.105691i
\(584\) −0.450284 1.22502i −0.0186329 0.0506918i
\(585\) −2.51026 6.19183i −0.103786 0.256000i
\(586\) 19.5544 + 26.2081i 0.807785 + 1.08265i
\(587\) −15.6384 15.6384i −0.645467 0.645467i 0.306427 0.951894i \(-0.400867\pi\)
−0.951894 + 0.306427i \(0.900867\pi\)
\(588\) 1.02158 + 1.88507i 0.0421292 + 0.0777390i
\(589\) 11.0685i 0.456068i
\(590\) −15.8357 + 26.1434i −0.651946 + 1.07631i
\(591\) 0.536570i 0.0220715i
\(592\) 1.54085 0.324970i 0.0633285 0.0133562i
\(593\) 10.9939 + 10.9939i 0.451467 + 0.451467i 0.895841 0.444374i \(-0.146574\pi\)
−0.444374 + 0.895841i \(0.646574\pi\)
\(594\) −2.38209 + 1.77732i −0.0977382 + 0.0729244i
\(595\) 1.09928 2.59836i 0.0450662 0.106523i
\(596\) −2.95873 + 9.95957i −0.121194 + 0.407960i
\(597\) −1.30283 + 1.30283i −0.0533214 + 0.0533214i
\(598\) 7.96250 + 1.15772i 0.325611 + 0.0473428i
\(599\) −24.3473 −0.994804 −0.497402 0.867520i \(-0.665713\pi\)
−0.497402 + 0.867520i \(0.665713\pi\)
\(600\) 1.39740 + 0.671960i 0.0570485 + 0.0274327i
\(601\) −25.3047 −1.03220 −0.516099 0.856529i \(-0.672617\pi\)
−0.516099 + 0.856529i \(0.672617\pi\)
\(602\) −11.0450 1.60590i −0.450159 0.0654517i
\(603\) −11.0196 + 11.0196i −0.448752 + 0.448752i
\(604\) 1.52577 5.13600i 0.0620829 0.208981i
\(605\) 0.656432 1.55160i 0.0266878 0.0630816i
\(606\) −0.991971 + 0.740129i −0.0402961 + 0.0300657i
\(607\) 30.7450 + 30.7450i 1.24790 + 1.24790i 0.956646 + 0.291255i \(0.0940728\pi\)
0.291255 + 0.956646i \(0.405927\pi\)
\(608\) 21.3093 + 18.7624i 0.864205 + 0.760917i
\(609\) 4.44569i 0.180148i
\(610\) −17.7926 + 29.3740i −0.720400 + 1.18932i
\(611\) 5.96172i 0.241186i
\(612\) −0.877081 1.61844i −0.0354539 0.0654214i
\(613\) −20.1332 20.1332i −0.813171 0.813171i 0.171937 0.985108i \(-0.444997\pi\)
−0.985108 + 0.171937i \(0.944997\pi\)
\(614\) −15.7191 21.0678i −0.634372 0.850229i
\(615\) −0.496931 1.22574i −0.0200382 0.0494264i
\(616\) 34.8082 12.7945i 1.40246 0.515506i
\(617\) 12.0443 12.0443i 0.484885 0.484885i −0.421803 0.906688i \(-0.638603\pi\)
0.906688 + 0.421803i \(0.138603\pi\)
\(618\) −0.156165 + 1.07406i −0.00628188 + 0.0432050i
\(619\) 7.68371 0.308834 0.154417 0.988006i \(-0.450650\pi\)
0.154417 + 0.988006i \(0.450650\pi\)
\(620\) 7.61254 + 6.27016i 0.305727 + 0.251816i
\(621\) 3.73536 0.149895
\(622\) −1.37816 + 9.47862i −0.0552593 + 0.380058i
\(623\) −47.5158 + 47.5158i −1.90368 + 1.90368i
\(624\) −0.367434 0.239442i −0.0147091 0.00958535i
\(625\) −0.753252 + 24.9886i −0.0301301 + 0.999546i
\(626\) 4.30870 + 5.77482i 0.172210 + 0.230808i
\(627\) 1.24558 + 1.24558i 0.0497437 + 0.0497437i
\(628\) 30.8824 16.7362i 1.23234 0.667845i
\(629\) 0.121270i 0.00483535i
\(630\) 9.22912 + 37.5864i 0.367697 + 1.49748i
\(631\) 26.5327i 1.05625i 0.849166 + 0.528126i \(0.177105\pi\)
−0.849166 + 0.528126i \(0.822895\pi\)
\(632\) 17.2879 + 7.99472i 0.687675 + 0.318013i
\(633\) 1.18516 + 1.18516i 0.0471058 + 0.0471058i
\(634\) −12.2153 + 9.11409i −0.485133 + 0.361967i
\(635\) 2.36222 0.957679i 0.0937419 0.0380043i
\(636\) −0.236994 0.0704048i −0.00939742 0.00279173i
\(637\) 6.91389 6.91389i 0.273938 0.273938i
\(638\) 44.3465 + 6.44784i 1.75569 + 0.255273i
\(639\) −35.5177 −1.40506
\(640\) −24.9756 + 4.02714i −0.987249 + 0.159187i
\(641\) 1.48587 0.0586882 0.0293441 0.999569i \(-0.490658\pi\)
0.0293441 + 0.999569i \(0.490658\pi\)
\(642\) −2.28190 0.331782i −0.0900594 0.0130944i
\(643\) 15.8763 15.8763i 0.626098 0.626098i −0.320986 0.947084i \(-0.604014\pi\)
0.947084 + 0.320986i \(0.104014\pi\)
\(644\) −44.6795 13.2731i −1.76062 0.523035i
\(645\) 0.435042 + 0.184052i 0.0171297 + 0.00724704i
\(646\) −1.75242 + 1.30752i −0.0689482 + 0.0514436i
\(647\) −16.6915 16.6915i −0.656209 0.656209i 0.298272 0.954481i \(-0.403590\pi\)
−0.954481 + 0.298272i \(0.903590\pi\)
\(648\) 22.8275 + 10.5565i 0.896749 + 0.414698i
\(649\) 30.9400i 1.21450i
\(650\) 1.12273 6.98137i 0.0440370 0.273832i
\(651\) 0.990390i 0.0388164i
\(652\) 41.6260 22.5584i 1.63020 0.883457i
\(653\) −7.63408 7.63408i −0.298745 0.298745i 0.541777 0.840522i \(-0.317752\pi\)
−0.840522 + 0.541777i \(0.817752\pi\)
\(654\) −0.0640224 0.0858072i −0.00250348 0.00335533i
\(655\) −39.5894 16.7490i −1.54688 0.654437i
\(656\) 18.0794 + 11.7816i 0.705884 + 0.459996i
\(657\) −0.974945 + 0.974945i −0.0380362 + 0.0380362i
\(658\) −4.96897 + 34.1752i −0.193711 + 1.33229i
\(659\) 17.4766 0.680792 0.340396 0.940282i \(-0.389439\pi\)
0.340396 + 0.940282i \(0.389439\pi\)
\(660\) −1.56228 + 0.151064i −0.0608116 + 0.00588015i
\(661\) −6.43375 −0.250244 −0.125122 0.992141i \(-0.539932\pi\)
−0.125122 + 0.992141i \(0.539932\pi\)
\(662\) 5.95385 40.9489i 0.231403 1.59152i
\(663\) 0.0238816 0.0238816i 0.000927484 0.000927484i
\(664\) 8.85496 3.25483i 0.343639 0.126312i
\(665\) 42.6021 17.2715i 1.65204 0.669760i
\(666\) −0.994831 1.33334i −0.0385489 0.0516659i
\(667\) −39.8254 39.8254i −1.54204 1.54204i
\(668\) −2.64226 4.87563i −0.102232 0.188644i
\(669\) 0.389377i 0.0150542i
\(670\) −16.0173 + 3.93295i −0.618803 + 0.151943i
\(671\) 34.7633i 1.34202i
\(672\) 1.90672 + 1.67883i 0.0735533 + 0.0647624i
\(673\) 31.2053 + 31.2053i 1.20288 + 1.20288i 0.973288 + 0.229589i \(0.0737381\pi\)
0.229589 + 0.973288i \(0.426262\pi\)
\(674\) 6.63841 4.95305i 0.255702 0.190784i
\(675\) 0.0494590 3.28228i 0.00190368 0.126335i
\(676\) −0.569548 + 1.91719i −0.0219057 + 0.0737381i
\(677\) −21.5552 + 21.5552i −0.828434 + 0.828434i −0.987300 0.158866i \(-0.949216\pi\)
0.158866 + 0.987300i \(0.449216\pi\)
\(678\) 0.658071 + 0.0956815i 0.0252731 + 0.00367463i
\(679\) 66.8762 2.56647
\(680\) 0.0934588 1.94595i 0.00358398 0.0746239i
\(681\) −0.335900 −0.0128717
\(682\) −9.87929 1.43642i −0.378298 0.0550034i
\(683\) 7.68769 7.68769i 0.294161 0.294161i −0.544560 0.838722i \(-0.683303\pi\)
0.838722 + 0.544560i \(0.183303\pi\)
\(684\) 8.54143 28.7518i 0.326590 1.09935i
\(685\) 4.18719 + 10.3282i 0.159984 + 0.394619i
\(686\) −12.8964 + 9.62224i −0.492386 + 0.367379i
\(687\) −1.45133 1.45133i −0.0553716 0.0553716i
\(688\) −7.54110 + 1.59044i −0.287502 + 0.0606351i
\(689\) 1.12745i 0.0429524i
\(690\) 1.68727 + 1.02202i 0.0642331 + 0.0389076i
\(691\) 29.0242i 1.10413i 0.833800 + 0.552067i \(0.186161\pi\)
−0.833800 + 0.552067i \(0.813839\pi\)
\(692\) 13.0014 + 23.9908i 0.494238 + 0.911994i
\(693\) −27.7024 27.7024i −1.05233 1.05233i
\(694\) 14.7242 + 19.7344i 0.558924 + 0.749108i
\(695\) 4.89406 11.5680i 0.185642 0.438800i
\(696\) 1.05911 + 2.88137i 0.0401455 + 0.109218i
\(697\) −1.17508 + 1.17508i −0.0445095 + 0.0445095i
\(698\) −0.783720 + 5.39020i −0.0296642 + 0.204022i
\(699\) −2.27029 −0.0858703
\(700\) −12.2548 + 39.0844i −0.463187 + 1.47725i
\(701\) 28.0124 1.05801 0.529007 0.848617i \(-0.322565\pi\)
0.529007 + 0.848617i \(0.322565\pi\)
\(702\) −0.133593 + 0.918814i −0.00504214 + 0.0346784i
\(703\) −1.39720 + 1.39720i −0.0526964 + 0.0526964i
\(704\) 19.5120 16.5849i 0.735388 0.625068i
\(705\) 0.569492 1.34610i 0.0214483 0.0506971i
\(706\) −15.8780 21.2808i −0.597578 0.800915i
\(707\) −23.1186 23.1186i −0.869465 0.869465i
\(708\) 1.86347 1.00987i 0.0700333 0.0379533i
\(709\) 13.6438i 0.512402i −0.966624 0.256201i \(-0.917529\pi\)
0.966624 0.256201i \(-0.0824709\pi\)
\(710\) −32.1513 19.4748i −1.20662 0.730877i
\(711\) 20.1214i 0.754611i
\(712\) −19.4764 + 42.1161i −0.729910 + 1.57837i
\(713\) 8.87211 + 8.87211i 0.332263 + 0.332263i
\(714\) −0.156804 + 0.116995i −0.00586825 + 0.00437842i
\(715\) 2.68924 + 6.63331i 0.100572 + 0.248072i
\(716\) −45.5294 13.5256i −1.70151 0.505475i
\(717\) 1.41426 1.41426i 0.0528164 0.0528164i
\(718\) −12.0001 1.74479i −0.447841 0.0651148i
\(719\) 19.0497 0.710433 0.355217 0.934784i \(-0.384407\pi\)
0.355217 + 0.934784i \(0.384407\pi\)
\(720\) 14.9360 + 22.1621i 0.556631 + 0.825932i
\(721\) −28.6713 −1.06777
\(722\) −8.66435 1.25977i −0.322454 0.0468838i
\(723\) −0.458172 + 0.458172i −0.0170396 + 0.0170396i
\(724\) 14.2324 + 4.22808i 0.528944 + 0.157136i
\(725\) −35.5221 + 34.4675i −1.31926 + 1.28009i
\(726\) −0.0936349 + 0.0698628i −0.00347512 + 0.00259285i
\(727\) −28.3966 28.3966i −1.05317 1.05317i −0.998505 0.0546675i \(-0.982590\pi\)
−0.0546675 0.998505i \(-0.517410\pi\)
\(728\) 4.86283 10.5154i 0.180228 0.389728i
\(729\) 26.3530i 0.976038i
\(730\) −1.41711 + 0.347964i −0.0524498 + 0.0128787i
\(731\) 0.593510i 0.0219518i
\(732\) 2.09374 1.13466i 0.0773867 0.0419383i
\(733\) −6.90352 6.90352i −0.254987 0.254987i 0.568024 0.823012i \(-0.307708\pi\)
−0.823012 + 0.568024i \(0.807708\pi\)
\(734\) 5.65120 + 7.57412i 0.208590 + 0.279566i
\(735\) 2.22154 0.900644i 0.0819426 0.0332207i
\(736\) −32.1201 + 2.04146i −1.18396 + 0.0752494i
\(737\) 11.8053 11.8053i 0.434853 0.434853i
\(738\) 3.28009 22.5596i 0.120742 0.830429i
\(739\) −30.9143 −1.13720 −0.568601 0.822614i \(-0.692515\pi\)
−0.568601 + 0.822614i \(0.692515\pi\)
\(740\) −0.169452 1.75244i −0.00622918 0.0644211i
\(741\) 0.550298 0.0202157
\(742\) 0.939704 6.46302i 0.0344976 0.237265i
\(743\) 31.0812 31.0812i 1.14026 1.14026i 0.151858 0.988402i \(-0.451475\pi\)
0.988402 0.151858i \(-0.0485255\pi\)
\(744\) −0.235943 0.641898i −0.00865011 0.0235331i
\(745\) 10.6981 + 4.52602i 0.391948 + 0.165820i
\(746\) −16.7894 22.5023i −0.614705 0.823869i
\(747\) −7.04730 7.04730i −0.257847 0.257847i
\(748\) 0.939618 + 1.73383i 0.0343558 + 0.0633952i
\(749\) 60.9138i 2.22574i
\(750\) 0.920394 1.46908i 0.0336080 0.0536431i
\(751\) 1.26768i 0.0462582i −0.999732 0.0231291i \(-0.992637\pi\)
0.999732 0.0231291i \(-0.00736287\pi\)
\(752\) 4.92113 + 23.3336i 0.179455 + 0.850889i
\(753\) −0.627932 0.627932i −0.0228831 0.0228831i
\(754\) 11.2205 8.37181i 0.408625 0.304883i
\(755\) −5.51685 2.33400i −0.200779 0.0849429i
\(756\) 1.53162 5.15569i 0.0557046 0.187511i
\(757\) −6.66924 + 6.66924i −0.242398 + 0.242398i −0.817841 0.575444i \(-0.804829\pi\)
0.575444 + 0.817841i \(0.304829\pi\)
\(758\) 6.62059 + 0.962613i 0.240470 + 0.0349637i
\(759\) −1.99683 −0.0724804
\(760\) 23.4969 21.3433i 0.852322 0.774204i
\(761\) 17.3878 0.630309 0.315155 0.949040i \(-0.397944\pi\)
0.315155 + 0.949040i \(0.397944\pi\)
\(762\) −0.174915 0.0254321i −0.00633649 0.000921308i
\(763\) 1.99980 1.99980i 0.0723977 0.0723977i
\(764\) 7.35815 24.7687i 0.266209 0.896101i
\(765\) −1.90731 + 0.773252i −0.0689590 + 0.0279570i
\(766\) −26.1938 + 19.5437i −0.946419 + 0.706141i
\(767\) −6.83465 6.83465i −0.246785 0.246785i
\(768\) 1.63575 + 0.633852i 0.0590250 + 0.0228722i
\(769\) 7.24605i 0.261299i −0.991429 0.130650i \(-0.958294\pi\)
0.991429 0.130650i \(-0.0417063\pi\)
\(770\) −9.88716 40.2664i −0.356309 1.45110i
\(771\) 0.264554i 0.00952769i
\(772\) 20.7998 + 38.3809i 0.748603 + 1.38136i
\(773\) 24.8969 + 24.8969i 0.895479 + 0.895479i 0.995032 0.0995533i \(-0.0317414\pi\)
−0.0995533 + 0.995032i \(0.531741\pi\)
\(774\) 4.86883 + 6.52553i 0.175006 + 0.234555i