Properties

Label 260.2.o.a.183.26
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 183.26
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.26

$q$-expansion

\(f(q)\) \(=\) \(q+(0.904262 + 1.08734i) q^{2} +(-1.78782 + 1.78782i) q^{3} +(-0.364619 + 1.96648i) q^{4} +(-1.34049 - 1.78972i) q^{5} +(-3.56063 - 0.327311i) q^{6} +(-2.34459 - 2.34459i) q^{7} +(-2.46795 + 1.38175i) q^{8} -3.39260i q^{9} +O(q^{10})\) \(q+(0.904262 + 1.08734i) q^{2} +(-1.78782 + 1.78782i) q^{3} +(-0.364619 + 1.96648i) q^{4} +(-1.34049 - 1.78972i) q^{5} +(-3.56063 - 0.327311i) q^{6} +(-2.34459 - 2.34459i) q^{7} +(-2.46795 + 1.38175i) q^{8} -3.39260i q^{9} +(0.733875 - 3.07594i) q^{10} +5.90452i q^{11} +(-2.86384 - 4.16759i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(0.429245 - 4.66950i) q^{14} +(5.59625 + 0.803133i) q^{15} +(-3.73411 - 1.43404i) q^{16} +(-0.975710 + 0.975710i) q^{17} +(3.68891 - 3.06780i) q^{18} -2.12103 q^{19} +(4.00821 - 1.98349i) q^{20} +8.38342 q^{21} +(-6.42023 + 5.33924i) q^{22} +(3.10133 - 3.10133i) q^{23} +(1.94193 - 6.88257i) q^{24} +(-1.40617 + 4.79820i) q^{25} +(0.129456 - 1.40828i) q^{26} +(0.701895 + 0.701895i) q^{27} +(5.46549 - 3.75572i) q^{28} +5.56185i q^{29} +(4.18720 + 6.81127i) q^{30} +7.23441i q^{31} +(-1.81733 - 5.35699i) q^{32} +(-10.5562 - 10.5562i) q^{33} +(-1.94323 - 0.178631i) q^{34} +(-1.05325 + 7.33907i) q^{35} +(6.67149 + 1.23701i) q^{36} +(-2.19333 + 2.19333i) q^{37} +(-1.91796 - 2.30628i) q^{38} +2.52836 q^{39} +(5.78120 + 2.56470i) q^{40} -0.538879 q^{41} +(7.58081 + 9.11564i) q^{42} +(-5.78842 + 5.78842i) q^{43} +(-11.6111 - 2.15290i) q^{44} +(-6.07179 + 4.54775i) q^{45} +(6.17662 + 0.567787i) q^{46} +(-3.98616 - 3.98616i) q^{47} +(9.23970 - 4.11211i) q^{48} +3.99424i q^{49} +(-6.48882 + 2.80985i) q^{50} -3.48879i q^{51} +(1.64834 - 1.13269i) q^{52} +(7.09286 + 7.09286i) q^{53} +(-0.128502 + 1.39790i) q^{54} +(10.5674 - 7.91496i) q^{55} +(9.02598 + 2.54669i) q^{56} +(3.79201 - 3.79201i) q^{57} +(-6.04762 + 5.02937i) q^{58} +3.05954 q^{59} +(-3.61985 + 10.7121i) q^{60} +8.82521 q^{61} +(-7.86626 + 6.54180i) q^{62} +(-7.95427 + 7.95427i) q^{63} +(4.18153 - 6.82017i) q^{64} +(-0.317650 + 2.21339i) q^{65} +(1.93262 - 21.0238i) q^{66} +(-2.58148 - 2.58148i) q^{67} +(-1.56295 - 2.27448i) q^{68} +11.0892i q^{69} +(-8.93248 + 5.49120i) q^{70} -8.53161i q^{71} +(4.68772 + 8.37276i) q^{72} +(2.76749 + 2.76749i) q^{73} +(-4.36825 - 0.401552i) q^{74} +(-6.06434 - 11.0923i) q^{75} +(0.773367 - 4.17096i) q^{76} +(13.8437 - 13.8437i) q^{77} +(2.28630 + 2.74919i) q^{78} -7.02598 q^{79} +(2.43902 + 8.60530i) q^{80} +7.66807 q^{81} +(-0.487288 - 0.585945i) q^{82} +(6.93558 - 6.93558i) q^{83} +(-3.05676 + 16.4859i) q^{84} +(3.05417 + 0.438313i) q^{85} +(-11.5282 - 1.05974i) q^{86} +(-9.94358 - 9.94358i) q^{87} +(-8.15857 - 14.5721i) q^{88} -9.42448i q^{89} +(-10.4354 - 2.48974i) q^{90} +3.31576i q^{91} +(4.96791 + 7.22952i) q^{92} +(-12.9338 - 12.9338i) q^{93} +(0.729780 - 7.93885i) q^{94} +(2.84322 + 3.79603i) q^{95} +(12.8264 + 6.32828i) q^{96} +(-11.8148 + 11.8148i) q^{97} +(-4.34310 + 3.61184i) q^{98} +20.0317 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.904262 + 1.08734i 0.639410 + 0.768866i
\(3\) −1.78782 + 1.78782i −1.03220 + 1.03220i −0.0327341 + 0.999464i \(0.510421\pi\)
−0.999464 + 0.0327341i \(0.989579\pi\)
\(4\) −0.364619 + 1.96648i −0.182310 + 0.983241i
\(5\) −1.34049 1.78972i −0.599486 0.800385i
\(6\) −3.56063 0.327311i −1.45362 0.133624i
\(7\) −2.34459 2.34459i −0.886173 0.886173i 0.107980 0.994153i \(-0.465562\pi\)
−0.994153 + 0.107980i \(0.965562\pi\)
\(8\) −2.46795 + 1.38175i −0.872551 + 0.488522i
\(9\) 3.39260i 1.13087i
\(10\) 0.733875 3.07594i 0.232072 0.972699i
\(11\) 5.90452i 1.78028i 0.455687 + 0.890140i \(0.349394\pi\)
−0.455687 + 0.890140i \(0.650606\pi\)
\(12\) −2.86384 4.16759i −0.826720 1.20308i
\(13\) −0.707107 0.707107i −0.196116 0.196116i
\(14\) 0.429245 4.66950i 0.114720 1.24798i
\(15\) 5.59625 + 0.803133i 1.44494 + 0.207368i
\(16\) −3.73411 1.43404i −0.933526 0.358509i
\(17\) −0.975710 + 0.975710i −0.236644 + 0.236644i −0.815459 0.578815i \(-0.803515\pi\)
0.578815 + 0.815459i \(0.303515\pi\)
\(18\) 3.68891 3.06780i 0.869485 0.723087i
\(19\) −2.12103 −0.486597 −0.243298 0.969952i \(-0.578229\pi\)
−0.243298 + 0.969952i \(0.578229\pi\)
\(20\) 4.00821 1.98349i 0.896264 0.443521i
\(21\) 8.38342 1.82941
\(22\) −6.42023 + 5.33924i −1.36880 + 1.13833i
\(23\) 3.10133 3.10133i 0.646673 0.646673i −0.305515 0.952187i \(-0.598829\pi\)
0.952187 + 0.305515i \(0.0988285\pi\)
\(24\) 1.94193 6.88257i 0.396394 1.40490i
\(25\) −1.40617 + 4.79820i −0.281233 + 0.959639i
\(26\) 0.129456 1.40828i 0.0253884 0.276186i
\(27\) 0.701895 + 0.701895i 0.135080 + 0.135080i
\(28\) 5.46549 3.75572i 1.03288 0.709764i
\(29\) 5.56185i 1.03281i 0.856345 + 0.516405i \(0.172730\pi\)
−0.856345 + 0.516405i \(0.827270\pi\)
\(30\) 4.18720 + 6.81127i 0.764474 + 1.24356i
\(31\) 7.23441i 1.29934i 0.760217 + 0.649669i \(0.225092\pi\)
−0.760217 + 0.649669i \(0.774908\pi\)
\(32\) −1.81733 5.35699i −0.321261 0.946991i
\(33\) −10.5562 10.5562i −1.83760 1.83760i
\(34\) −1.94323 0.178631i −0.333261 0.0306350i
\(35\) −1.05325 + 7.33907i −0.178032 + 1.24053i
\(36\) 6.67149 + 1.23701i 1.11191 + 0.206168i
\(37\) −2.19333 + 2.19333i −0.360582 + 0.360582i −0.864027 0.503445i \(-0.832066\pi\)
0.503445 + 0.864027i \(0.332066\pi\)
\(38\) −1.91796 2.30628i −0.311135 0.374128i
\(39\) 2.52836 0.404861
\(40\) 5.78120 + 2.56470i 0.914088 + 0.405515i
\(41\) −0.538879 −0.0841588 −0.0420794 0.999114i \(-0.513398\pi\)
−0.0420794 + 0.999114i \(0.513398\pi\)
\(42\) 7.58081 + 9.11564i 1.16974 + 1.40657i
\(43\) −5.78842 + 5.78842i −0.882726 + 0.882726i −0.993811 0.111085i \(-0.964568\pi\)
0.111085 + 0.993811i \(0.464568\pi\)
\(44\) −11.6111 2.15290i −1.75044 0.324562i
\(45\) −6.07179 + 4.54775i −0.905129 + 0.677938i
\(46\) 6.17662 + 0.567787i 0.910693 + 0.0837156i
\(47\) −3.98616 3.98616i −0.581441 0.581441i 0.353858 0.935299i \(-0.384870\pi\)
−0.935299 + 0.353858i \(0.884870\pi\)
\(48\) 9.23970 4.11211i 1.33364 0.593532i
\(49\) 3.99424i 0.570606i
\(50\) −6.48882 + 2.80985i −0.917657 + 0.397372i
\(51\) 3.48879i 0.488528i
\(52\) 1.64834 1.13269i 0.228583 0.157076i
\(53\) 7.09286 + 7.09286i 0.974279 + 0.974279i 0.999677 0.0253982i \(-0.00808537\pi\)
−0.0253982 + 0.999677i \(0.508085\pi\)
\(54\) −0.128502 + 1.39790i −0.0174869 + 0.190230i
\(55\) 10.5674 7.91496i 1.42491 1.06725i
\(56\) 9.02598 + 2.54669i 1.20615 + 0.340316i
\(57\) 3.79201 3.79201i 0.502264 0.502264i
\(58\) −6.04762 + 5.02937i −0.794092 + 0.660388i
\(59\) 3.05954 0.398319 0.199159 0.979967i \(-0.436179\pi\)
0.199159 + 0.979967i \(0.436179\pi\)
\(60\) −3.61985 + 10.7121i −0.467320 + 1.38292i
\(61\) 8.82521 1.12995 0.564976 0.825107i \(-0.308885\pi\)
0.564976 + 0.825107i \(0.308885\pi\)
\(62\) −7.86626 + 6.54180i −0.999016 + 0.830809i
\(63\) −7.95427 + 7.95427i −1.00214 + 1.00214i
\(64\) 4.18153 6.82017i 0.522692 0.852522i
\(65\) −0.317650 + 2.21339i −0.0393996 + 0.274537i
\(66\) 1.93262 21.0238i 0.237889 2.58785i
\(67\) −2.58148 2.58148i −0.315378 0.315378i 0.531611 0.846989i \(-0.321587\pi\)
−0.846989 + 0.531611i \(0.821587\pi\)
\(68\) −1.56295 2.27448i −0.189536 0.275821i
\(69\) 11.0892i 1.33499i
\(70\) −8.93248 + 5.49120i −1.06764 + 0.656324i
\(71\) 8.53161i 1.01252i −0.862382 0.506258i \(-0.831028\pi\)
0.862382 0.506258i \(-0.168972\pi\)
\(72\) 4.68772 + 8.37276i 0.552454 + 0.986739i
\(73\) 2.76749 + 2.76749i 0.323910 + 0.323910i 0.850265 0.526355i \(-0.176442\pi\)
−0.526355 + 0.850265i \(0.676442\pi\)
\(74\) −4.36825 0.401552i −0.507798 0.0466795i
\(75\) −6.06434 11.0923i −0.700250 1.28083i
\(76\) 0.773367 4.17096i 0.0887113 0.478442i
\(77\) 13.8437 13.8437i 1.57764 1.57764i
\(78\) 2.28630 + 2.74919i 0.258872 + 0.311284i
\(79\) −7.02598 −0.790484 −0.395242 0.918577i \(-0.629339\pi\)
−0.395242 + 0.918577i \(0.629339\pi\)
\(80\) 2.43902 + 8.60530i 0.272691 + 0.962102i
\(81\) 7.66807 0.852008
\(82\) −0.487288 0.585945i −0.0538120 0.0647068i
\(83\) 6.93558 6.93558i 0.761279 0.761279i −0.215275 0.976554i \(-0.569065\pi\)
0.976554 + 0.215275i \(0.0690646\pi\)
\(84\) −3.05676 + 16.4859i −0.333520 + 1.79875i
\(85\) 3.05417 + 0.438313i 0.331272 + 0.0475417i
\(86\) −11.5282 1.05974i −1.24312 0.114274i
\(87\) −9.94358 9.94358i −1.06606 1.06606i
\(88\) −8.15857 14.5721i −0.869707 1.55339i
\(89\) 9.42448i 0.998993i −0.866316 0.499496i \(-0.833518\pi\)
0.866316 0.499496i \(-0.166482\pi\)
\(90\) −10.4354 2.48974i −1.09999 0.262442i
\(91\) 3.31576i 0.347586i
\(92\) 4.96791 + 7.22952i 0.517940 + 0.753730i
\(93\) −12.9338 12.9338i −1.34117 1.34117i
\(94\) 0.729780 7.93885i 0.0752710 0.818829i
\(95\) 2.84322 + 3.79603i 0.291708 + 0.389465i
\(96\) 12.8264 + 6.32828i 1.30909 + 0.645877i
\(97\) −11.8148 + 11.8148i −1.19961 + 1.19961i −0.225322 + 0.974284i \(0.572343\pi\)
−0.974284 + 0.225322i \(0.927657\pi\)
\(98\) −4.34310 + 3.61184i −0.438720 + 0.364851i
\(99\) 20.0317 2.01326
\(100\) −8.92285 4.51472i −0.892285 0.451472i
\(101\) −4.69937 −0.467605 −0.233803 0.972284i \(-0.575117\pi\)
−0.233803 + 0.972284i \(0.575117\pi\)
\(102\) 3.79350 3.15478i 0.375612 0.312369i
\(103\) 0.855000 0.855000i 0.0842456 0.0842456i −0.663728 0.747974i \(-0.731027\pi\)
0.747974 + 0.663728i \(0.231027\pi\)
\(104\) 2.72215 + 0.768058i 0.266929 + 0.0753143i
\(105\) −11.2379 15.0039i −1.09671 1.46424i
\(106\) −1.29855 + 14.1262i −0.126126 + 1.37205i
\(107\) 12.9913 + 12.9913i 1.25591 + 1.25591i 0.953026 + 0.302889i \(0.0979510\pi\)
0.302889 + 0.953026i \(0.402049\pi\)
\(108\) −1.63619 + 1.12434i −0.157442 + 0.108190i
\(109\) 2.62288i 0.251226i −0.992079 0.125613i \(-0.959910\pi\)
0.992079 0.125613i \(-0.0400898\pi\)
\(110\) 18.1620 + 4.33318i 1.73168 + 0.413153i
\(111\) 7.84257i 0.744383i
\(112\) 5.39273 + 12.1172i 0.509565 + 1.14497i
\(113\) 10.8980 + 10.8980i 1.02520 + 1.02520i 0.999674 + 0.0255277i \(0.00812660\pi\)
0.0255277 + 0.999674i \(0.491873\pi\)
\(114\) 7.55218 + 0.694235i 0.707326 + 0.0650211i
\(115\) −9.70781 1.39320i −0.905258 0.129916i
\(116\) −10.9373 2.02796i −1.01550 0.188291i
\(117\) −2.39893 + 2.39893i −0.221781 + 0.221781i
\(118\) 2.76663 + 3.32677i 0.254689 + 0.306254i
\(119\) 4.57529 0.419416
\(120\) −14.9210 + 5.75052i −1.36209 + 0.524949i
\(121\) −23.8634 −2.16940
\(122\) 7.98031 + 9.59601i 0.722503 + 0.868782i
\(123\) 0.963419 0.963419i 0.0868685 0.0868685i
\(124\) −14.2263 2.63781i −1.27756 0.236882i
\(125\) 10.4724 3.91530i 0.936677 0.350195i
\(126\) −15.8417 1.45625i −1.41129 0.129733i
\(127\) −4.31384 4.31384i −0.382792 0.382792i 0.489315 0.872107i \(-0.337247\pi\)
−0.872107 + 0.489315i \(0.837247\pi\)
\(128\) 11.1971 1.62048i 0.989689 0.143231i
\(129\) 20.6973i 1.82230i
\(130\) −2.69395 + 1.65609i −0.236275 + 0.145249i
\(131\) 6.36243i 0.555888i 0.960597 + 0.277944i \(0.0896529\pi\)
−0.960597 + 0.277944i \(0.910347\pi\)
\(132\) 24.6076 16.9096i 2.14182 1.47179i
\(133\) 4.97294 + 4.97294i 0.431209 + 0.431209i
\(134\) 0.472614 5.14129i 0.0408276 0.444140i
\(135\) 0.315309 2.19708i 0.0271375 0.189094i
\(136\) 1.05981 3.75619i 0.0908783 0.322090i
\(137\) −0.675923 + 0.675923i −0.0577480 + 0.0577480i −0.735391 0.677643i \(-0.763001\pi\)
0.677643 + 0.735391i \(0.263001\pi\)
\(138\) −12.0578 + 10.0276i −1.02643 + 0.853605i
\(139\) 4.46061 0.378344 0.189172 0.981944i \(-0.439420\pi\)
0.189172 + 0.981944i \(0.439420\pi\)
\(140\) −14.0481 4.74716i −1.18728 0.401209i
\(141\) 14.2531 1.20032
\(142\) 9.27677 7.71481i 0.778489 0.647413i
\(143\) 4.17513 4.17513i 0.349142 0.349142i
\(144\) −4.86511 + 12.6683i −0.405426 + 1.05569i
\(145\) 9.95413 7.45561i 0.826645 0.619155i
\(146\) −0.506668 + 5.51174i −0.0419321 + 0.456155i
\(147\) −7.14099 7.14099i −0.588979 0.588979i
\(148\) −3.51342 5.11288i −0.288801 0.420276i
\(149\) 7.40369i 0.606534i −0.952906 0.303267i \(-0.901923\pi\)
0.952906 0.303267i \(-0.0980775\pi\)
\(150\) 6.57734 16.6243i 0.537037 1.35737i
\(151\) 8.25499i 0.671782i −0.941901 0.335891i \(-0.890963\pi\)
0.941901 0.335891i \(-0.109037\pi\)
\(152\) 5.23458 2.93073i 0.424581 0.237713i
\(153\) 3.31019 + 3.31019i 0.267613 + 0.267613i
\(154\) 27.5712 + 2.53448i 2.22175 + 0.204235i
\(155\) 12.9475 9.69766i 1.03997 0.778935i
\(156\) −0.921889 + 4.97197i −0.0738102 + 0.398076i
\(157\) −14.4491 + 14.4491i −1.15316 + 1.15316i −0.167249 + 0.985915i \(0.553488\pi\)
−0.985915 + 0.167249i \(0.946512\pi\)
\(158\) −6.35333 7.63963i −0.505444 0.607776i
\(159\) −25.3615 −2.01130
\(160\) −7.15138 + 10.4335i −0.565366 + 0.824840i
\(161\) −14.5427 −1.14613
\(162\) 6.93395 + 8.33781i 0.544782 + 0.655080i
\(163\) −9.14075 + 9.14075i −0.715959 + 0.715959i −0.967775 0.251816i \(-0.918972\pi\)
0.251816 + 0.967775i \(0.418972\pi\)
\(164\) 0.196486 1.05970i 0.0153430 0.0827484i
\(165\) −4.74212 + 33.0432i −0.369173 + 2.57241i
\(166\) 13.8129 + 1.26976i 1.07209 + 0.0985521i
\(167\) −2.67668 2.67668i −0.207128 0.207128i 0.595918 0.803046i \(-0.296788\pi\)
−0.803046 + 0.595918i \(0.796788\pi\)
\(168\) −20.6899 + 11.5838i −1.59626 + 0.893709i
\(169\) 1.00000i 0.0769231i
\(170\) 2.28518 + 3.71728i 0.175265 + 0.285102i
\(171\) 7.19579i 0.550276i
\(172\) −9.27226 13.4934i −0.707003 1.02886i
\(173\) −4.31314 4.31314i −0.327922 0.327922i 0.523874 0.851796i \(-0.324486\pi\)
−0.851796 + 0.523874i \(0.824486\pi\)
\(174\) 1.82045 19.8037i 0.138008 1.50131i
\(175\) 14.5467 7.95294i 1.09963 0.601185i
\(176\) 8.46729 22.0481i 0.638246 1.66194i
\(177\) −5.46991 + 5.46991i −0.411144 + 0.411144i
\(178\) 10.2476 8.52220i 0.768092 0.638766i
\(179\) −10.4807 −0.783364 −0.391682 0.920101i \(-0.628107\pi\)
−0.391682 + 0.920101i \(0.628107\pi\)
\(180\) −6.72917 13.5983i −0.501563 1.01355i
\(181\) −15.5219 −1.15374 −0.576868 0.816837i \(-0.695725\pi\)
−0.576868 + 0.816837i \(0.695725\pi\)
\(182\) −3.60536 + 2.99831i −0.267247 + 0.222250i
\(183\) −15.7779 + 15.7779i −1.16633 + 1.16633i
\(184\) −3.36866 + 11.9392i −0.248341 + 0.880169i
\(185\) 6.86559 + 0.985299i 0.504768 + 0.0724406i
\(186\) 2.36790 25.7590i 0.173623 1.88874i
\(187\) −5.76110 5.76110i −0.421293 0.421293i
\(188\) 9.29214 6.38528i 0.677699 0.465694i
\(189\) 3.29132i 0.239408i
\(190\) −1.55657 + 6.52415i −0.112925 + 0.473312i
\(191\) 13.2435i 0.958268i 0.877742 + 0.479134i \(0.159049\pi\)
−0.877742 + 0.479134i \(0.840951\pi\)
\(192\) 4.71742 + 19.6691i 0.340450 + 1.41949i
\(193\) −14.6402 14.6402i −1.05383 1.05383i −0.998466 0.0553595i \(-0.982370\pi\)
−0.0553595 0.998466i \(-0.517630\pi\)
\(194\) −23.5303 2.16303i −1.68938 0.155296i
\(195\) −3.38924 4.52504i −0.242709 0.324045i
\(196\) −7.85461 1.45638i −0.561044 0.104027i
\(197\) −17.4045 + 17.4045i −1.24002 + 1.24002i −0.280030 + 0.959991i \(0.590344\pi\)
−0.959991 + 0.280030i \(0.909656\pi\)
\(198\) 18.1139 + 21.7813i 1.28730 + 1.54793i
\(199\) 26.2930 1.86386 0.931930 0.362639i \(-0.118124\pi\)
0.931930 + 0.362639i \(0.118124\pi\)
\(200\) −3.15956 13.7847i −0.223415 0.974723i
\(201\) 9.23045 0.651066
\(202\) −4.24947 5.10982i −0.298991 0.359526i
\(203\) 13.0403 13.0403i 0.915248 0.915248i
\(204\) 6.86064 + 1.27208i 0.480341 + 0.0890634i
\(205\) 0.722363 + 0.964440i 0.0504520 + 0.0673594i
\(206\) 1.70282 + 0.156532i 0.118641 + 0.0109061i
\(207\) −10.5216 10.5216i −0.731300 0.731300i
\(208\) 1.62639 + 3.65443i 0.112770 + 0.253389i
\(209\) 12.5236i 0.866278i
\(210\) 6.15239 25.7869i 0.424555 1.77947i
\(211\) 6.67079i 0.459236i −0.973281 0.229618i \(-0.926252\pi\)
0.973281 0.229618i \(-0.0737477\pi\)
\(212\) −16.5342 + 11.3618i −1.13557 + 0.780331i
\(213\) 15.2530 + 15.2530i 1.04512 + 1.04512i
\(214\) −2.37842 + 25.8735i −0.162586 + 1.76867i
\(215\) 18.1190 + 2.60030i 1.23570 + 0.177339i
\(216\) −2.70209 0.762397i −0.183854 0.0518746i
\(217\) 16.9617 16.9617i 1.15144 1.15144i
\(218\) 2.85196 2.37177i 0.193159 0.160636i
\(219\) −9.89555 −0.668679
\(220\) 11.7115 + 23.6666i 0.789592 + 1.59560i
\(221\) 1.37986 0.0928195
\(222\) 8.52754 7.09174i 0.572331 0.475966i
\(223\) −3.91569 + 3.91569i −0.262214 + 0.262214i −0.825953 0.563739i \(-0.809362\pi\)
0.563739 + 0.825953i \(0.309362\pi\)
\(224\) −8.29907 + 16.8209i −0.554505 + 1.12389i
\(225\) 16.2784 + 4.77056i 1.08522 + 0.318037i
\(226\) −1.99520 + 21.7046i −0.132719 + 1.44377i
\(227\) −0.441036 0.441036i −0.0292726 0.0292726i 0.692319 0.721592i \(-0.256589\pi\)
−0.721592 + 0.692319i \(0.756589\pi\)
\(228\) 6.07428 + 8.83956i 0.402279 + 0.585414i
\(229\) 6.34608i 0.419361i −0.977770 0.209680i \(-0.932758\pi\)
0.977770 0.209680i \(-0.0672423\pi\)
\(230\) −7.26353 11.8155i −0.478943 0.779092i
\(231\) 49.5001i 3.25687i
\(232\) −7.68508 13.7263i −0.504550 0.901179i
\(233\) 6.40187 + 6.40187i 0.419401 + 0.419401i 0.884997 0.465596i \(-0.154160\pi\)
−0.465596 + 0.884997i \(0.654160\pi\)
\(234\) −4.77771 0.439192i −0.312329 0.0287109i
\(235\) −1.79068 + 12.4775i −0.116811 + 0.813943i
\(236\) −1.11557 + 6.01654i −0.0726173 + 0.391643i
\(237\) 12.5612 12.5612i 0.815936 0.815936i
\(238\) 4.13726 + 4.97489i 0.268179 + 0.322475i
\(239\) 16.6919 1.07971 0.539855 0.841758i \(-0.318479\pi\)
0.539855 + 0.841758i \(0.318479\pi\)
\(240\) −19.7453 11.0242i −1.27455 0.711609i
\(241\) −4.87302 −0.313899 −0.156950 0.987607i \(-0.550166\pi\)
−0.156950 + 0.987607i \(0.550166\pi\)
\(242\) −21.5787 25.9476i −1.38713 1.66798i
\(243\) −15.8148 + 15.8148i −1.01452 + 1.01452i
\(244\) −3.21784 + 17.3546i −0.206001 + 1.11102i
\(245\) 7.14856 5.35425i 0.456705 0.342070i
\(246\) 1.91875 + 0.176381i 0.122335 + 0.0112457i
\(247\) 1.49979 + 1.49979i 0.0954294 + 0.0954294i
\(248\) −9.99614 17.8541i −0.634756 1.13374i
\(249\) 24.7991i 1.57158i
\(250\) 13.7270 + 7.84657i 0.868174 + 0.496260i
\(251\) 3.80662i 0.240271i −0.992757 0.120136i \(-0.961667\pi\)
0.992757 0.120136i \(-0.0383330\pi\)
\(252\) −12.7416 18.5422i −0.802648 1.16805i
\(253\) 18.3119 + 18.3119i 1.15126 + 1.15126i
\(254\) 0.789771 8.59146i 0.0495547 0.539076i
\(255\) −6.24394 + 4.67669i −0.391010 + 0.292865i
\(256\) 11.8871 + 10.7097i 0.742943 + 0.669355i
\(257\) 15.4246 15.4246i 0.962160 0.962160i −0.0371497 0.999310i \(-0.511828\pi\)
0.999310 + 0.0371497i \(0.0118278\pi\)
\(258\) 22.5050 18.7158i 1.40110 1.16519i
\(259\) 10.2850 0.639076
\(260\) −4.23677 1.43170i −0.262753 0.0887902i
\(261\) 18.8691 1.16797
\(262\) −6.91813 + 5.75330i −0.427403 + 0.355440i
\(263\) −2.06774 + 2.06774i −0.127502 + 0.127502i −0.767978 0.640476i \(-0.778737\pi\)
0.640476 + 0.767978i \(0.278737\pi\)
\(264\) 40.6383 + 11.4661i 2.50111 + 0.705692i
\(265\) 3.18629 22.2021i 0.195732 1.36387i
\(266\) −0.910439 + 9.90413i −0.0558226 + 0.607261i
\(267\) 16.8493 + 16.8493i 1.03116 + 1.03116i
\(268\) 6.01770 4.13518i 0.367589 0.252596i
\(269\) 1.08783i 0.0663260i 0.999450 + 0.0331630i \(0.0105580\pi\)
−0.999450 + 0.0331630i \(0.989442\pi\)
\(270\) 2.67409 1.64389i 0.162740 0.100044i
\(271\) 18.6868i 1.13514i 0.823325 + 0.567570i \(0.192116\pi\)
−0.823325 + 0.567570i \(0.807884\pi\)
\(272\) 5.04260 2.24420i 0.305753 0.136075i
\(273\) −5.92798 5.92798i −0.358777 0.358777i
\(274\) −1.34617 0.123747i −0.0813251 0.00747582i
\(275\) −28.3311 8.30274i −1.70843 0.500674i
\(276\) −21.8068 4.04336i −1.31262 0.243381i
\(277\) 1.31820 1.31820i 0.0792032 0.0792032i −0.666395 0.745599i \(-0.732164\pi\)
0.745599 + 0.666395i \(0.232164\pi\)
\(278\) 4.03356 + 4.85020i 0.241917 + 0.290896i
\(279\) 24.5434 1.46938
\(280\) −7.54139 19.5678i −0.450684 1.16940i
\(281\) −7.34919 −0.438416 −0.219208 0.975678i \(-0.570347\pi\)
−0.219208 + 0.975678i \(0.570347\pi\)
\(282\) 12.8885 + 15.4979i 0.767500 + 0.922889i
\(283\) −7.05023 + 7.05023i −0.419093 + 0.419093i −0.884891 0.465798i \(-0.845767\pi\)
0.465798 + 0.884891i \(0.345767\pi\)
\(284\) 16.7773 + 3.11079i 0.995547 + 0.184592i
\(285\) −11.8698 1.70347i −0.703105 0.100905i
\(286\) 8.31520 + 0.764376i 0.491688 + 0.0451985i
\(287\) 1.26345 + 1.26345i 0.0745793 + 0.0745793i
\(288\) −18.1741 + 6.16546i −1.07092 + 0.363303i
\(289\) 15.0960i 0.887999i
\(290\) 17.1079 + 4.08170i 1.00461 + 0.239686i
\(291\) 42.2453i 2.47646i
\(292\) −6.45130 + 4.43314i −0.377534 + 0.259430i
\(293\) −11.9457 11.9457i −0.697876 0.697876i 0.266076 0.963952i \(-0.414273\pi\)
−0.963952 + 0.266076i \(0.914273\pi\)
\(294\) 1.30736 14.2220i 0.0762468 0.829445i
\(295\) −4.10129 5.47571i −0.238786 0.318808i
\(296\) 2.38239 8.44367i 0.138474 0.490778i
\(297\) −4.14436 + 4.14436i −0.240480 + 0.240480i
\(298\) 8.05034 6.69488i 0.466344 0.387824i
\(299\) −4.38595 −0.253646
\(300\) 24.0240 7.88095i 1.38702 0.455007i
\(301\) 27.1430 1.56450
\(302\) 8.97599 7.46468i 0.516510 0.429544i
\(303\) 8.40163 8.40163i 0.482661 0.482661i
\(304\) 7.92013 + 3.04163i 0.454251 + 0.174449i
\(305\) −11.8301 15.7946i −0.677391 0.904397i
\(306\) −0.606024 + 6.59259i −0.0346441 + 0.376873i
\(307\) −0.789610 0.789610i −0.0450654 0.0450654i 0.684215 0.729280i \(-0.260145\pi\)
−0.729280 + 0.684215i \(0.760145\pi\)
\(308\) 22.1757 + 32.2711i 1.26358 + 1.83882i
\(309\) 3.05717i 0.173916i
\(310\) 22.2526 + 5.30915i 1.26386 + 0.301540i
\(311\) 18.0187i 1.02174i 0.859657 + 0.510872i \(0.170677\pi\)
−0.859657 + 0.510872i \(0.829323\pi\)
\(312\) −6.23986 + 3.49356i −0.353262 + 0.197784i
\(313\) 19.4426 + 19.4426i 1.09896 + 1.09896i 0.994533 + 0.104427i \(0.0333008\pi\)
0.104427 + 0.994533i \(0.466699\pi\)
\(314\) −28.7769 2.64532i −1.62397 0.149284i
\(315\) 24.8985 + 3.57325i 1.40287 + 0.201330i
\(316\) 2.56181 13.8165i 0.144113 0.777237i
\(317\) −9.02608 + 9.02608i −0.506955 + 0.506955i −0.913591 0.406635i \(-0.866702\pi\)
0.406635 + 0.913591i \(0.366702\pi\)
\(318\) −22.9335 27.5766i −1.28604 1.54642i
\(319\) −32.8400 −1.83869
\(320\) −17.8115 + 1.65863i −0.995692 + 0.0927201i
\(321\) −46.4521 −2.59271
\(322\) −13.1504 15.8129i −0.732846 0.881219i
\(323\) 2.06950 2.06950i 0.115150 0.115150i
\(324\) −2.79593 + 15.0791i −0.155329 + 0.837729i
\(325\) 4.38715 2.39853i 0.243355 0.133046i
\(326\) −18.2048 1.67347i −1.00827 0.0926852i
\(327\) 4.68923 + 4.68923i 0.259315 + 0.259315i
\(328\) 1.32993 0.744596i 0.0734328 0.0411134i
\(329\) 18.6919i 1.03052i
\(330\) −40.2173 + 24.7234i −2.21389 + 1.36098i
\(331\) 2.06198i 0.113336i −0.998393 0.0566682i \(-0.981952\pi\)
0.998393 0.0566682i \(-0.0180477\pi\)
\(332\) 11.1099 + 16.1675i 0.609732 + 0.887309i
\(333\) 7.44110 + 7.44110i 0.407770 + 0.407770i
\(334\) 0.490043 5.33089i 0.0268139 0.291693i
\(335\) −1.15967 + 8.08057i −0.0633593 + 0.441489i
\(336\) −31.3046 12.0221i −1.70781 0.655861i
\(337\) 9.46896 9.46896i 0.515807 0.515807i −0.400493 0.916300i \(-0.631161\pi\)
0.916300 + 0.400493i \(0.131161\pi\)
\(338\) −1.08734 + 0.904262i −0.0591435 + 0.0491854i
\(339\) −38.9675 −2.11642
\(340\) −1.97555 + 5.84616i −0.107139 + 0.317053i
\(341\) −42.7157 −2.31319
\(342\) −7.82427 + 6.50688i −0.423088 + 0.351852i
\(343\) −7.04728 + 7.04728i −0.380517 + 0.380517i
\(344\) 6.28737 22.2837i 0.338992 1.20146i
\(345\) 19.8466 14.8650i 1.06851 0.800307i
\(346\) 0.789644 8.59007i 0.0424515 0.461805i
\(347\) 7.60949 + 7.60949i 0.408499 + 0.408499i 0.881215 0.472716i \(-0.156726\pi\)
−0.472716 + 0.881215i \(0.656726\pi\)
\(348\) 23.1795 15.9283i 1.24255 0.853844i
\(349\) 4.69447i 0.251289i 0.992075 + 0.125644i \(0.0400999\pi\)
−0.992075 + 0.125644i \(0.959900\pi\)
\(350\) 21.8016 + 8.62570i 1.16534 + 0.461063i
\(351\) 0.992630i 0.0529827i
\(352\) 31.6305 10.7304i 1.68591 0.571934i
\(353\) 7.77497 + 7.77497i 0.413820 + 0.413820i 0.883067 0.469247i \(-0.155475\pi\)
−0.469247 + 0.883067i \(0.655475\pi\)
\(354\) −10.8939 1.00142i −0.579004 0.0532250i
\(355\) −15.2692 + 11.4365i −0.810403 + 0.606989i
\(356\) 18.5331 + 3.43635i 0.982251 + 0.182126i
\(357\) −8.17979 + 8.17979i −0.432920 + 0.432920i
\(358\) −9.47730 11.3961i −0.500891 0.602302i
\(359\) 22.3596 1.18009 0.590046 0.807369i \(-0.299109\pi\)
0.590046 + 0.807369i \(0.299109\pi\)
\(360\) 8.70100 19.6133i 0.458583 1.03371i
\(361\) −14.5013 −0.763224
\(362\) −14.0359 16.8776i −0.737710 0.887068i
\(363\) 42.6634 42.6634i 2.23925 2.23925i
\(364\) −6.52038 1.20899i −0.341761 0.0633683i
\(365\) 1.24323 8.66282i 0.0650734 0.453433i
\(366\) −31.4233 2.88859i −1.64252 0.150989i
\(367\) −10.2028 10.2028i −0.532580 0.532580i 0.388760 0.921339i \(-0.372904\pi\)
−0.921339 + 0.388760i \(0.872904\pi\)
\(368\) −16.0281 + 7.13328i −0.835524 + 0.371848i
\(369\) 1.82820i 0.0951723i
\(370\) 5.13693 + 8.35620i 0.267056 + 0.434418i
\(371\) 33.2598i 1.72676i
\(372\) 30.1500 20.7182i 1.56321 1.07419i
\(373\) −17.6595 17.6595i −0.914372 0.914372i 0.0822402 0.996613i \(-0.473793\pi\)
−0.996613 + 0.0822402i \(0.973793\pi\)
\(374\) 1.05473 11.4738i 0.0545389 0.593297i
\(375\) −11.7228 + 25.7226i −0.605365 + 1.32831i
\(376\) 15.3455 + 4.32976i 0.791384 + 0.223290i
\(377\) 3.93282 3.93282i 0.202551 0.202551i
\(378\) 3.57879 2.97622i 0.184073 0.153080i
\(379\) 6.98725 0.358911 0.179456 0.983766i \(-0.442566\pi\)
0.179456 + 0.983766i \(0.442566\pi\)
\(380\) −8.50152 + 4.20703i −0.436119 + 0.215816i
\(381\) 15.4247 0.790233
\(382\) −14.4002 + 11.9756i −0.736779 + 0.612726i
\(383\) 8.29838 8.29838i 0.424028 0.424028i −0.462560 0.886588i \(-0.653069\pi\)
0.886588 + 0.462560i \(0.153069\pi\)
\(384\) −17.1212 + 22.9154i −0.873713 + 1.16940i
\(385\) −43.3337 6.21894i −2.20849 0.316946i
\(386\) 2.68031 29.1575i 0.136424 1.48408i
\(387\) 19.6378 + 19.6378i 0.998245 + 0.998245i
\(388\) −18.9256 27.5414i −0.960802 1.39820i
\(389\) 8.88726i 0.450602i 0.974289 + 0.225301i \(0.0723365\pi\)
−0.974289 + 0.225301i \(0.927663\pi\)
\(390\) 1.85550 7.77709i 0.0939569 0.393808i
\(391\) 6.05200i 0.306063i
\(392\) −5.51905 9.85759i −0.278754 0.497883i
\(393\) −11.3749 11.3749i −0.573786 0.573786i
\(394\) −34.6629 3.18639i −1.74629 0.160528i
\(395\) 9.41826 + 12.5745i 0.473884 + 0.632692i
\(396\) −7.30394 + 39.3919i −0.367037 + 1.97952i
\(397\) 15.3788 15.3788i 0.771838 0.771838i −0.206590 0.978428i \(-0.566237\pi\)
0.978428 + 0.206590i \(0.0662365\pi\)
\(398\) 23.7757 + 28.5894i 1.19177 + 1.43306i
\(399\) −17.7815 −0.890186
\(400\) 12.1316 15.9005i 0.606578 0.795024i
\(401\) −7.73585 −0.386310 −0.193155 0.981168i \(-0.561872\pi\)
−0.193155 + 0.981168i \(0.561872\pi\)
\(402\) 8.34675 + 10.0366i 0.416298 + 0.500582i
\(403\) 5.11550 5.11550i 0.254821 0.254821i
\(404\) 1.71348 9.24124i 0.0852490 0.459769i
\(405\) −10.2790 13.7237i −0.510767 0.681935i
\(406\) 25.9711 + 2.38739i 1.28892 + 0.118484i
\(407\) −12.9506 12.9506i −0.641936 0.641936i
\(408\) 4.82063 + 8.61014i 0.238657 + 0.426265i
\(409\) 7.27059i 0.359508i −0.983712 0.179754i \(-0.942470\pi\)
0.983712 0.179754i \(-0.0575301\pi\)
\(410\) −0.395470 + 1.65756i −0.0195309 + 0.0818611i
\(411\) 2.41686i 0.119215i
\(412\) 1.36959 + 1.99309i 0.0674750 + 0.0981926i
\(413\) −7.17339 7.17339i −0.352979 0.352979i
\(414\) 1.92627 20.9548i 0.0946712 1.02987i
\(415\) −21.7098 3.11563i −1.06569 0.152941i
\(416\) −2.50292 + 5.07301i −0.122716 + 0.248725i
\(417\) −7.97477 + 7.97477i −0.390526 + 0.390526i
\(418\) 13.6175 11.3247i 0.666052 0.553907i
\(419\) −28.5271 −1.39364 −0.696819 0.717247i \(-0.745402\pi\)
−0.696819 + 0.717247i \(0.745402\pi\)
\(420\) 33.6026 16.6284i 1.63964 0.811383i
\(421\) 29.4919 1.43735 0.718674 0.695347i \(-0.244749\pi\)
0.718674 + 0.695347i \(0.244749\pi\)
\(422\) 7.25342 6.03214i 0.353091 0.293640i
\(423\) −13.5234 + 13.5234i −0.657532 + 0.657532i
\(424\) −27.3054 7.70425i −1.32607 0.374151i
\(425\) −3.30964 6.05366i −0.160541 0.293645i
\(426\) −2.79249 + 30.3779i −0.135297 + 1.47181i
\(427\) −20.6915 20.6915i −1.00133 1.00133i
\(428\) −30.2840 + 20.8103i −1.46383 + 1.00590i
\(429\) 14.9287i 0.720767i
\(430\) 13.5569 + 22.0528i 0.653771 + 1.06348i
\(431\) 22.3840i 1.07820i 0.842242 + 0.539099i \(0.181235\pi\)
−0.842242 + 0.539099i \(0.818765\pi\)
\(432\) −1.61441 3.62749i −0.0776733 0.174528i
\(433\) −9.07817 9.07817i −0.436269 0.436269i 0.454485 0.890754i \(-0.349823\pi\)
−0.890754 + 0.454485i \(0.849823\pi\)
\(434\) 33.7811 + 3.10533i 1.62154 + 0.149061i
\(435\) −4.46690 + 31.1255i −0.214172 + 1.49235i
\(436\) 5.15784 + 0.956352i 0.247016 + 0.0458010i
\(437\) −6.57801 + 6.57801i −0.314669 + 0.314669i
\(438\) −8.94817 10.7598i −0.427560 0.514125i
\(439\) −0.367210 −0.0175260 −0.00876298 0.999962i \(-0.502789\pi\)
−0.00876298 + 0.999962i \(0.502789\pi\)
\(440\) −15.1433 + 34.1352i −0.721930 + 1.62733i
\(441\) 13.5509 0.645279
\(442\) 1.24776 + 1.50038i 0.0593497 + 0.0713658i
\(443\) 15.4141 15.4141i 0.732348 0.732348i −0.238736 0.971084i \(-0.576733\pi\)
0.971084 + 0.238736i \(0.0767332\pi\)
\(444\) 15.4223 + 2.85955i 0.731908 + 0.135708i
\(445\) −16.8671 + 12.6334i −0.799579 + 0.598882i
\(446\) −7.79851 0.716879i −0.369270 0.0339452i
\(447\) 13.2365 + 13.2365i 0.626064 + 0.626064i
\(448\) −25.7945 + 6.18654i −1.21868 + 0.292287i
\(449\) 40.2066i 1.89747i 0.316079 + 0.948733i \(0.397634\pi\)
−0.316079 + 0.948733i \(0.602366\pi\)
\(450\) 9.53268 + 22.0140i 0.449375 + 1.03775i
\(451\) 3.18182i 0.149826i
\(452\) −25.4045 + 17.4572i −1.19492 + 0.821116i
\(453\) 14.7584 + 14.7584i 0.693412 + 0.693412i
\(454\) 0.0807442 0.878368i 0.00378951 0.0412239i
\(455\) 5.93426 4.44474i 0.278203 0.208373i
\(456\) −4.11887 + 14.5981i −0.192884 + 0.683619i
\(457\) 9.15479 9.15479i 0.428243 0.428243i −0.459787 0.888029i \(-0.652074\pi\)
0.888029 + 0.459787i \(0.152074\pi\)
\(458\) 6.90035 5.73852i 0.322432 0.268143i
\(459\) −1.36969 −0.0639318
\(460\) 6.27935 18.5823i 0.292776 0.866402i
\(461\) 28.6420 1.33399 0.666995 0.745062i \(-0.267580\pi\)
0.666995 + 0.745062i \(0.267580\pi\)
\(462\) −53.8235 + 44.7611i −2.50409 + 2.08247i
\(463\) 20.4203 20.4203i 0.949010 0.949010i −0.0497517 0.998762i \(-0.515843\pi\)
0.998762 + 0.0497517i \(0.0158430\pi\)
\(464\) 7.97589 20.7685i 0.370271 0.964154i
\(465\) −5.81019 + 40.4855i −0.269441 + 1.87747i
\(466\) −1.17204 + 12.7500i −0.0542939 + 0.590632i
\(467\) 21.3596 + 21.3596i 0.988406 + 0.988406i 0.999934 0.0115276i \(-0.00366942\pi\)
−0.0115276 + 0.999934i \(0.503669\pi\)
\(468\) −3.84276 5.59215i −0.177631 0.258497i
\(469\) 12.1051i 0.558959i
\(470\) −15.1865 + 9.33585i −0.700503 + 0.430631i
\(471\) 51.6648i 2.38059i
\(472\) −7.55079 + 4.22752i −0.347553 + 0.194588i
\(473\) −34.1779 34.1779i −1.57150 1.57150i
\(474\) 25.0169 + 2.29968i 1.14906 + 0.105628i
\(475\) 2.98251 10.1771i 0.136847 0.466957i
\(476\) −1.66824 + 8.99722i −0.0764636 + 0.412387i
\(477\) 24.0632 24.0632i 1.10178 1.10178i
\(478\) 15.0939 + 18.1498i 0.690378 + 0.830153i
\(479\) −4.14375 −0.189333 −0.0946664 0.995509i \(-0.530178\pi\)
−0.0946664 + 0.995509i \(0.530178\pi\)
\(480\) −5.86783 31.4386i −0.267828 1.43497i
\(481\) 3.10184 0.141432
\(482\) −4.40649 5.29864i −0.200710 0.241346i
\(483\) 25.9998 25.9998i 1.18303 1.18303i
\(484\) 8.70105 46.9269i 0.395502 2.13304i
\(485\) 36.9826 + 5.30748i 1.67929 + 0.241000i
\(486\) −31.4968 2.89535i −1.42873 0.131336i
\(487\) 24.6973 + 24.6973i 1.11914 + 1.11914i 0.991868 + 0.127273i \(0.0406223\pi\)
0.127273 + 0.991868i \(0.459378\pi\)
\(488\) −21.7802 + 12.1942i −0.985942 + 0.552007i
\(489\) 32.6840i 1.47802i
\(490\) 12.2861 + 2.93128i 0.555028 + 0.132422i
\(491\) 19.3185i 0.871832i −0.899987 0.435916i \(-0.856424\pi\)
0.899987 0.435916i \(-0.143576\pi\)
\(492\) 1.54326 + 2.24583i 0.0695757 + 0.101250i
\(493\) −5.42675 5.42675i −0.244408 0.244408i
\(494\) −0.274579 + 2.98699i −0.0123539 + 0.134391i
\(495\) −26.8523 35.8510i −1.20692 1.61138i
\(496\) 10.3744 27.0140i 0.465824 1.21297i
\(497\) −20.0032 + 20.0032i −0.897265 + 0.897265i
\(498\) −26.9651 + 22.4249i −1.20834 + 1.00488i
\(499\) 4.80183 0.214959 0.107480 0.994207i \(-0.465722\pi\)
0.107480 + 0.994207i \(0.465722\pi\)
\(500\) 3.88094 + 22.0213i 0.173561 + 0.984823i
\(501\) 9.57085 0.427594
\(502\) 4.13909 3.44218i 0.184737 0.153632i
\(503\) 7.80160 7.80160i 0.347856 0.347856i −0.511454 0.859310i \(-0.670893\pi\)
0.859310 + 0.511454i \(0.170893\pi\)
\(504\) 8.63991 30.6215i 0.384852 1.36399i
\(505\) 6.29947 + 8.41055i 0.280323 + 0.374264i
\(506\) −3.35251 + 36.4700i −0.149037 + 1.62129i
\(507\) −1.78782 1.78782i −0.0793999 0.0793999i
\(508\) 10.0560 6.91018i 0.446163 0.306590i
\(509\) 41.1405i 1.82352i −0.410725 0.911759i \(-0.634724\pi\)
0.410725 0.911759i \(-0.365276\pi\)
\(510\) −10.7313 2.56033i −0.475190 0.113373i
\(511\) 12.9773i 0.574081i
\(512\) −0.896029 + 22.6097i −0.0395992 + 0.999216i
\(513\) −1.48874 1.48874i −0.0657294 0.0657294i
\(514\) 30.7197 + 2.82391i 1.35499 + 0.124557i
\(515\) −2.67633 0.384087i −0.117933 0.0169249i
\(516\) 40.7009 + 7.54664i 1.79176 + 0.332222i
\(517\) 23.5364 23.5364i 1.03513 1.03513i
\(518\) 9.30029 + 11.1832i 0.408631 + 0.491364i
\(519\) 15.4222 0.676962
\(520\) −2.27441 5.90145i −0.0997395 0.258796i
\(521\) 17.4587 0.764881 0.382441 0.923980i \(-0.375084\pi\)
0.382441 + 0.923980i \(0.375084\pi\)
\(522\) 17.0626 + 20.5172i 0.746811 + 0.898012i
\(523\) −20.3908 + 20.3908i −0.891627 + 0.891627i −0.994676 0.103050i \(-0.967140\pi\)
0.103050 + 0.994676i \(0.467140\pi\)
\(524\) −12.5116 2.31987i −0.546572 0.101344i
\(525\) −11.7885 + 40.2253i −0.514492 + 1.75558i
\(526\) −4.11812 0.378559i −0.179559 0.0165060i
\(527\) −7.05868 7.05868i −0.307481 0.307481i
\(528\) 24.2800 + 54.5560i 1.05665 + 2.37425i
\(529\) 3.76347i 0.163629i
\(530\) 27.0225 16.6120i 1.17378 0.721577i
\(531\) 10.3798i 0.450445i
\(532\) −11.5924 + 7.96597i −0.502596 + 0.345369i
\(533\) 0.381045 + 0.381045i 0.0165049 + 0.0165049i
\(534\) −3.08474 + 33.5571i −0.133490 + 1.45216i
\(535\) 5.83600 40.6654i 0.252312 1.75812i
\(536\) 9.93792 + 2.80400i 0.429253 + 0.121114i
\(537\) 18.7376 18.7376i 0.808587 0.808587i
\(538\) −1.18284 + 0.983681i −0.0509958 + 0.0424095i
\(539\) −23.5841 −1.01584
\(540\) 4.20555 + 1.42115i 0.180978 + 0.0611564i
\(541\) −13.3562 −0.574228 −0.287114 0.957896i \(-0.592696\pi\)
−0.287114 + 0.957896i \(0.592696\pi\)
\(542\) −20.3189 + 16.8977i −0.872770 + 0.725820i
\(543\) 27.7504 27.7504i 1.19088 1.19088i
\(544\) 7.00005 + 3.45368i 0.300125 + 0.148075i
\(545\) −4.69421 + 3.51594i −0.201078 + 0.150607i
\(546\) 1.08528 11.8062i 0.0464459 0.505258i
\(547\) 16.3289 + 16.3289i 0.698175 + 0.698175i 0.964017 0.265842i \(-0.0856499\pi\)
−0.265842 + 0.964017i \(0.585650\pi\)
\(548\) −1.08274 1.57565i −0.0462522 0.0673082i
\(549\) 29.9404i 1.27783i
\(550\) −16.5908 38.3134i −0.707434 1.63369i
\(551\) 11.7968i 0.502561i
\(552\) −15.3226 27.3677i −0.652172 1.16485i
\(553\) 16.4731 + 16.4731i 0.700506 + 0.700506i
\(554\) 2.62534 + 0.241335i 0.111540 + 0.0102533i
\(555\) −14.0360 + 10.5129i −0.595794 + 0.446247i
\(556\) −1.62643 + 8.77171i −0.0689758 + 0.372003i
\(557\) −3.94925 + 3.94925i −0.167335 + 0.167335i −0.785807 0.618472i \(-0.787752\pi\)
0.618472 + 0.785807i \(0.287752\pi\)
\(558\) 22.1937 + 26.6871i 0.939534 + 1.12975i
\(559\) 8.18607 0.346234
\(560\) 14.4574 25.8944i 0.610938 1.09424i
\(561\) 20.5996 0.869716
\(562\) −6.64559 7.99107i −0.280327 0.337083i
\(563\) −28.4131 + 28.4131i −1.19747 + 1.19747i −0.222547 + 0.974922i \(0.571437\pi\)
−0.974922 + 0.222547i \(0.928563\pi\)
\(564\) −5.19695 + 28.0284i −0.218831 + 1.18021i
\(565\) 4.89567 34.1131i 0.205962 1.43515i
\(566\) −14.0413 1.29075i −0.590198 0.0542541i
\(567\) −17.9785 17.9785i −0.755027 0.755027i
\(568\) 11.7886 + 21.0556i 0.494637 + 0.883472i
\(569\) 1.74697i 0.0732369i 0.999329 + 0.0366184i \(0.0116586\pi\)
−0.999329 + 0.0366184i \(0.988341\pi\)
\(570\) −8.88115 14.4469i −0.371990 0.605113i
\(571\) 15.3998i 0.644460i −0.946661 0.322230i \(-0.895568\pi\)
0.946661 0.322230i \(-0.104432\pi\)
\(572\) 6.68798 + 9.73265i 0.279639 + 0.406942i
\(573\) −23.6770 23.6770i −0.989122 0.989122i
\(574\) −0.231311 + 2.51630i −0.00965473 + 0.105028i
\(575\) 10.5198 + 19.2418i 0.438707 + 0.802438i
\(576\) −23.1381 14.1863i −0.964088 0.591094i
\(577\) −1.31527 + 1.31527i −0.0547554 + 0.0547554i −0.733954 0.679199i \(-0.762327\pi\)
0.679199 + 0.733954i \(0.262327\pi\)
\(578\) −16.4145 + 13.6507i −0.682752 + 0.567795i
\(579\) 52.3481 2.17551
\(580\) 11.0319 + 22.2931i 0.458073 + 0.925670i
\(581\) −32.5223 −1.34925
\(582\) 45.9350 38.2008i 1.90407 1.58348i
\(583\) −41.8799 + 41.8799i −1.73449 + 1.73449i
\(584\) −10.6540 3.00604i −0.440866 0.124391i
\(585\) 7.50915 + 1.07766i 0.310465 + 0.0445557i
\(586\) 2.18700 23.7911i 0.0903443 0.982802i
\(587\) −6.86501 6.86501i −0.283349 0.283349i 0.551094 0.834443i \(-0.314211\pi\)
−0.834443 + 0.551094i \(0.814211\pi\)
\(588\) 16.6464 11.4389i 0.686485 0.471732i
\(589\) 15.3444i 0.632253i
\(590\) 2.24532 9.41098i 0.0924385 0.387444i
\(591\) 62.2323i 2.55990i
\(592\) 11.3355 5.04482i 0.465884 0.207341i
\(593\) 27.3416 + 27.3416i 1.12279 + 1.12279i 0.991321 + 0.131466i \(0.0419683\pi\)
0.131466 + 0.991321i \(0.458032\pi\)
\(594\) −8.25391 0.758742i −0.338662 0.0311316i
\(595\) −6.13313 8.18846i −0.251434 0.335694i
\(596\) 14.5592 + 2.69953i 0.596369 + 0.110577i
\(597\) −47.0071 + 47.0071i −1.92387 + 1.92387i
\(598\) −3.96605 4.76902i −0.162184 0.195020i
\(599\) 29.1119 1.18948 0.594740 0.803918i \(-0.297255\pi\)
0.594740 + 0.803918i \(0.297255\pi\)
\(600\) 30.2932 + 18.9958i 1.23672 + 0.775499i
\(601\) 18.6652 0.761370 0.380685 0.924705i \(-0.375688\pi\)
0.380685 + 0.924705i \(0.375688\pi\)
\(602\) 24.5444 + 29.5137i 1.00035 + 1.20289i
\(603\) −8.75793 + 8.75793i −0.356651 + 0.356651i
\(604\) 16.2333 + 3.00993i 0.660523 + 0.122472i
\(605\) 31.9886 + 42.7087i 1.30052 + 1.73635i
\(606\) 16.7327 + 1.53816i 0.679720 + 0.0624834i
\(607\) 11.4008 + 11.4008i 0.462745 + 0.462745i 0.899554 0.436809i \(-0.143892\pi\)
−0.436809 + 0.899554i \(0.643892\pi\)
\(608\) 3.85459 + 11.3623i 0.156324 + 0.460802i
\(609\) 46.6273i 1.88943i
\(610\) 6.47661 27.1458i 0.262230 1.09910i
\(611\) 5.63728i 0.228060i
\(612\) −7.71639 + 5.30247i −0.311917 + 0.214340i
\(613\) −7.48848 7.48848i −0.302457 0.302457i 0.539517 0.841974i \(-0.318607\pi\)
−0.841974 + 0.539517i \(0.818607\pi\)
\(614\) 0.144561 1.57259i 0.00583399 0.0634645i
\(615\) −3.01570 0.432791i −0.121605 0.0174518i
\(616\) −15.0370 + 53.2941i −0.605858 + 2.14728i
\(617\) −4.44176 + 4.44176i −0.178818 + 0.178818i −0.790841 0.612022i \(-0.790356\pi\)
0.612022 + 0.790841i \(0.290356\pi\)
\(618\) −3.32419 + 2.76448i −0.133718 + 0.111204i
\(619\) −29.5686 −1.18846 −0.594231 0.804294i \(-0.702544\pi\)
−0.594231 + 0.804294i \(0.702544\pi\)
\(620\) 14.3493 + 28.9970i 0.576284 + 1.16455i
\(621\) 4.35362 0.174705
\(622\) −19.5924 + 16.2936i −0.785585 + 0.653314i
\(623\) −22.0966 + 22.0966i −0.885281 + 0.885281i
\(624\) −9.44116 3.62576i −0.377949 0.145146i
\(625\) −21.0454 13.4941i −0.841816 0.539765i
\(626\) −3.55952 + 38.7219i −0.142267 + 1.54764i
\(627\) 22.3900 + 22.3900i 0.894171 + 0.894171i
\(628\) −23.1455 33.6823i −0.923605 1.34407i
\(629\) 4.28011i 0.170659i
\(630\) 18.6294 + 30.3043i 0.742214 + 1.20735i
\(631\) 7.08057i 0.281873i 0.990019 + 0.140937i \(0.0450113\pi\)
−0.990019 + 0.140937i \(0.954989\pi\)
\(632\) 17.3397 9.70815i 0.689738 0.386169i
\(633\) 11.9262 + 11.9262i 0.474023 + 0.474023i
\(634\) −17.9764 1.65248i −0.713933 0.0656284i
\(635\) −1.93788 + 13.5032i −0.0769026 + 0.535859i
\(636\) 9.24730 49.8730i 0.366679 1.97759i
\(637\) 2.82436 2.82436i 0.111905 0.111905i
\(638\) −29.6960 35.7083i −1.17568 1.41371i
\(639\) −28.9443 −1.14502
\(640\) −17.9097 17.8673i −0.707945 0.706268i
\(641\) 47.7079 1.88435 0.942174 0.335124i \(-0.108778\pi\)
0.942174 + 0.335124i \(0.108778\pi\)
\(642\) −42.0049 50.5093i −1.65780 1.99344i
\(643\) −7.14982 + 7.14982i −0.281961 + 0.281961i −0.833891 0.551929i \(-0.813892\pi\)
0.551929 + 0.833891i \(0.313892\pi\)
\(644\) 5.30256 28.5980i 0.208950 1.12692i
\(645\) −37.0423 + 27.7446i −1.45854 + 1.09244i
\(646\) 4.12163 + 0.378882i 0.162163 + 0.0149069i
\(647\) −10.5716 10.5716i −0.415614 0.415614i 0.468075 0.883689i \(-0.344948\pi\)
−0.883689 + 0.468075i \(0.844948\pi\)
\(648\) −18.9244 + 10.5954i −0.743421 + 0.416225i
\(649\) 18.0651i 0.709119i
\(650\) 6.57515 + 2.60143i 0.257899 + 0.102036i
\(651\) 60.6491i 2.37703i
\(652\) −14.6422 21.3080i −0.573434 0.834487i
\(653\) 13.5641 + 13.5641i 0.530805 + 0.530805i 0.920812 0.390007i \(-0.127527\pi\)
−0.390007 + 0.920812i \(0.627527\pi\)
\(654\) −0.858497 + 9.33909i −0.0335699 + 0.365187i
\(655\) 11.3869 8.52878i 0.444924 0.333247i
\(656\) 2.01223 + 0.772772i 0.0785644 + 0.0301717i
\(657\) 9.38899 9.38899i 0.366299 0.366299i
\(658\) −20.3244 + 16.9023i −0.792328 + 0.658922i
\(659\) −12.8543 −0.500732 −0.250366 0.968151i \(-0.580551\pi\)
−0.250366 + 0.968151i \(0.580551\pi\)
\(660\) −63.2497 21.3735i −2.46199 0.831961i
\(661\) −21.0808 −0.819949 −0.409975 0.912097i \(-0.634462\pi\)
−0.409975 + 0.912097i \(0.634462\pi\)
\(662\) 2.24207 1.86457i 0.0871405 0.0724685i
\(663\) −2.46694 + 2.46694i −0.0958082 + 0.0958082i
\(664\) −7.53341 + 26.6999i −0.292353 + 1.03616i
\(665\) 2.23397 15.5663i 0.0866296 0.603637i
\(666\) −1.36230 + 14.8197i −0.0527882 + 0.574252i
\(667\) 17.2491 + 17.2491i 0.667889 + 0.667889i
\(668\) 6.23962 4.28768i 0.241418 0.165895i
\(669\) 14.0011i 0.541314i
\(670\) −9.83498 + 6.04601i −0.379958 + 0.233578i
\(671\) 52.1087i 2.01163i
\(672\) −15.2354 44.9099i −0.587719 1.73244i
\(673\) 4.99164 + 4.99164i 0.192414 + 0.192414i 0.796738 0.604325i \(-0.206557\pi\)
−0.604325 + 0.796738i \(0.706557\pi\)
\(674\) 18.8584 + 1.73356i 0.726399 + 0.0667743i
\(675\) −4.35481 + 2.38085i −0.167617 + 0.0916390i
\(676\) −1.96648 0.364619i −0.0756339 0.0140238i
\(677\) −23.8899 + 23.8899i −0.918164 + 0.918164i −0.996896 0.0787317i \(-0.974913\pi\)
0.0787317 + 0.996896i \(0.474913\pi\)
\(678\) −35.2368 42.3709i −1.35326 1.62725i
\(679\) 55.4016 2.12612
\(680\) −8.14318 + 3.13837i −0.312277 + 0.120351i
\(681\) 1.57699 0.0604302
\(682\) −38.6262 46.4465i −1.47907 1.77853i
\(683\) 28.7712 28.7712i 1.10090 1.10090i 0.106598 0.994302i \(-0.466004\pi\)
0.994302 0.106598i \(-0.0339958\pi\)
\(684\) −14.1504 2.62372i −0.541054 0.100321i
\(685\) 2.11578 + 0.303641i 0.0808398 + 0.0116015i
\(686\) −14.0354 1.29020i −0.535873 0.0492602i
\(687\) 11.3456 + 11.3456i 0.432863 + 0.432863i
\(688\) 29.9154 13.3138i 1.14051 0.507583i
\(689\) 10.0308i 0.382144i
\(690\) 34.1099 + 8.13813i 1.29854 + 0.309813i
\(691\) 14.3829i 0.547153i −0.961850 0.273576i \(-0.911793\pi\)
0.961850 0.273576i \(-0.0882067\pi\)
\(692\) 10.0544 6.90906i 0.382210 0.262643i
\(693\) −46.9661 46.9661i −1.78410 1.78410i
\(694\) −1.39313 + 15.1551i −0.0528826 + 0.575279i
\(695\) −5.97941 7.98323i −0.226812 0.302821i
\(696\) 38.2798 + 10.8007i 1.45099 + 0.409399i
\(697\) 0.525789 0.525789i 0.0199157 0.0199157i
\(698\) −5.10448 + 4.24503i −0.193208 + 0.160677i
\(699\) −22.8908 −0.865809
\(700\) 10.3353 + 31.5057i 0.390637 + 1.19080i
\(701\) −0.729357 −0.0275474 −0.0137737 0.999905i \(-0.504384\pi\)
−0.0137737 + 0.999905i \(0.504384\pi\)
\(702\) 1.07933 0.897598i 0.0407366 0.0338777i
\(703\) 4.65211 4.65211i 0.175458 0.175458i
\(704\) 40.2699 + 24.6900i 1.51773 + 0.930538i
\(705\) −19.1061 25.5089i −0.719578 0.960722i
\(706\) −1.42343 + 15.4847i −0.0535715 + 0.582773i
\(707\) 11.0181 + 11.0181i 0.414379 + 0.414379i
\(708\) −8.76205 12.7509i −0.329298 0.479209i
\(709\) 34.6107i 1.29983i 0.760006 + 0.649916i \(0.225196\pi\)
−0.760006 + 0.649916i \(0.774804\pi\)
\(710\) −26.2428 6.26114i −0.984873 0.234976i
\(711\) 23.8363i 0.893932i
\(712\) 13.0223 + 23.2591i 0.488030 + 0.871673i
\(713\) 22.4363 + 22.4363i 0.840246 + 0.840246i
\(714\) −16.2909 1.49754i −0.609671 0.0560441i
\(715\) −13.0690 1.87557i −0.488753 0.0701424i
\(716\) 3.82147 20.6101i 0.142815 0.770236i
\(717\) −29.8421 + 29.8421i −1.11448 + 1.11448i
\(718\) 20.2189 + 24.3125i 0.754563 + 0.907333i
\(719\) −18.2520 −0.680684 −0.340342 0.940302i \(-0.610543\pi\)
−0.340342 + 0.940302i \(0.610543\pi\)
\(720\) 29.1943 8.27461i 1.08801 0.308377i
\(721\) −4.00926 −0.149312
\(722\) −13.1129 15.7678i −0.488013 0.586817i
\(723\) 8.71209 8.71209i 0.324006 0.324006i
\(724\) 5.65960 30.5236i 0.210337 1.13440i
\(725\) −26.6868 7.82088i −0.991124 0.290460i
\(726\) 84.9686 + 7.81075i 3.15348 + 0.289884i
\(727\) 4.69639 + 4.69639i 0.174179 + 0.174179i 0.788813 0.614633i \(-0.210696\pi\)
−0.614633 + 0.788813i \(0.710696\pi\)
\(728\) −4.58155 8.18312i −0.169803 0.303286i
\(729\) 33.5439i 1.24237i
\(730\) 10.5436 6.48165i 0.390238 0.239897i
\(731\) 11.2956i 0.417784i
\(732\) −25.2740 36.7799i −0.934154 1.35942i
\(733\) −2.92353 2.92353i −0.107983 0.107983i 0.651051 0.759034i \(-0.274328\pi\)
−0.759034 + 0.651051i \(0.774328\pi\)
\(734\) 1.86790 20.3198i 0.0689456 0.750019i
\(735\) −3.20791 + 22.3528i −0.118326 + 0.824495i
\(736\) −22.2499 10.9777i −0.820143 0.404642i
\(737\) 15.2424 15.2424i 0.561462 0.561462i
\(738\) −1.98788 + 1.65317i −0.0731748 + 0.0608541i
\(739\) 41.5292 1.52768 0.763838 0.645408i \(-0.223313\pi\)
0.763838 + 0.645408i \(0.223313\pi\)
\(740\) −4.44090 + 13.1418i −0.163251 + 0.483102i
\(741\) −5.36271 −0.197004
\(742\) 36.1647 30.0755i 1.32765 1.10411i
\(743\) −0.495864 + 0.495864i −0.0181915 + 0.0181915i −0.716144 0.697953i \(-0.754095\pi\)
0.697953 + 0.716144i \(0.254095\pi\)
\(744\) 49.7913 + 14.0487i 1.82544 + 0.515050i
\(745\) −13.2505 + 9.92459i −0.485461 + 0.363609i
\(746\) 3.23307 35.1706i 0.118371 1.28769i
\(747\) −23.5296 23.5296i −0.860905 0.860905i
\(748\) 13.4297 9.22849i 0.491039 0.337427i
\(749\) 60.9186i 2.22592i
\(750\) −38.5697 + 10.5132i −1.40837 + 0.383888i
\(751\) 51.0434i 1.86260i −0.364251 0.931301i \(-0.618675\pi\)
0.364251 0.931301i \(-0.381325\pi\)
\(752\) 9.16844 + 20.6010i 0.334339 + 0.751242i
\(753\) 6.80554 + 6.80554i 0.248008 + 0.248008i
\(754\) 7.83262 + 0.720014i 0.285247 + 0.0262214i
\(755\) −14.7741 + 11.0657i −0.537684 + 0.402724i
\(756\) 6.47232 + 1.20008i 0.235396 + 0.0436465i
\(757\) 33.0450 33.0450i 1.20104 1.20104i 0.227190 0.973850i \(-0.427046\pi\)
0.973850 0.227190i \(-0.0729539\pi\)
\(758\) 6.31831 + 7.59752i 0.229491 + 0.275954i
\(759\) −65.4767 −2.37665
\(760\) −12.2621 5.43980i −0.444792 0.197322i
\(761\) −53.2090 −1.92882 −0.964412 0.264406i \(-0.914824\pi\)
−0.964412 + 0.264406i \(0.914824\pi\)
\(762\) 13.9480 + 16.7719i 0.505283 + 0.607584i
\(763\) −6.14958 + 6.14958i −0.222630 + 0.222630i
\(764\) −26.0432 4.82885i −0.942208 0.174702i
\(765\) 1.48702 10.3616i 0.0537633 0.374624i
\(766\) 16.5271 + 1.51926i 0.597148 + 0.0548929i
\(767\) −2.16342 2.16342i −0.0781167 0.0781167i
\(768\) −40.3989 + 2.10499i −1.45777 + 0.0759572i
\(769\) 42.2296i 1.52284i 0.648259 + 0.761420i \(0.275497\pi\)
−0.648259 + 0.761420i \(0.724503\pi\)
\(770\) −32.4229 52.7420i −1.16844 1.90069i
\(771\) 55.1528i 1.98628i
\(772\) 34.1278 23.4516i 1.22829 0.844042i
\(773\) −7.25976 7.25976i −0.261115 0.261115i 0.564392 0.825507i \(-0.309111\pi\)
−0.825507 + 0.564392i \(0.809111\pi\)
\(774\) −3.59526 + 39.1107i −0.129229 + 1.40580i
\(775\) −34.7121 10.1728i −1.24690 0.365417i