Properties

Label 260.2.o.a.27.9
Level $260$
Weight $2$
Character 260.27
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 27.9
Character \(\chi\) \(=\) 260.27
Dual form 260.2.o.a.183.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.08734 + 0.904262i) q^{2} +(1.78782 + 1.78782i) q^{3} +(0.364619 - 1.96648i) q^{4} +(-1.34049 + 1.78972i) q^{5} +(-3.56063 - 0.327311i) q^{6} +(2.34459 - 2.34459i) q^{7} +(1.38175 + 2.46795i) q^{8} +3.39260i q^{9} +O(q^{10})\) \(q+(-1.08734 + 0.904262i) 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} +(1.38175 + 2.46795i) q^{8} +3.39260i q^{9} +(-0.160802 - 3.15819i) q^{10} +5.90452i q^{11} +(4.16759 - 2.86384i) 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} +(-3.06780 - 3.68891i) q^{18} +2.12103 q^{19} +(3.03068 + 3.28862i) q^{20} +8.38342 q^{21} +(-5.33924 - 6.42023i) 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} +(-3.75572 - 5.46549i) q^{28} -5.56185i q^{29} +(5.35878 - 5.93375i) q^{30} +7.23441i q^{31} +(5.35699 - 1.81733i) 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} +(-2.30628 + 1.91796i) q^{38} -2.52836 q^{39} +(-6.26915 - 0.835322i) q^{40} -0.538879 q^{41} +(-9.11564 + 7.58081i) 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} +(-4.11211 - 9.23970i) q^{48} -3.99424i q^{49} +(5.86781 + 3.94573i) q^{50} -3.48879i q^{51} +(1.13269 + 1.64834i) 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} +(5.02937 + 6.04762i) q^{58} -3.05954 q^{59} +(-0.461154 + 11.2978i) q^{60} +8.82521 q^{61} +(-6.54180 - 7.86626i) 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} +(-2.27448 + 1.56295i) q^{68} -11.0892i q^{69} +(-7.78168 - 7.02765i) q^{70} -8.53161i q^{71} +(-8.37276 + 4.68772i) 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} +(2.74919 - 2.28630i) q^{78} +7.02598 q^{79} +(7.57205 - 4.76068i) q^{80} +7.66807 q^{81} +(0.585945 - 0.487288i) 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} +(-14.5721 + 8.15857i) q^{88} +9.42448i q^{89} +(10.7145 - 0.545537i) q^{90} +3.31576i q^{91} +(-7.22952 + 4.96791i) 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} +(3.61184 + 4.34310i) 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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.08734 + 0.904262i −0.768866 + 0.639410i
\(3\) 1.78782 + 1.78782i 1.03220 + 1.03220i 0.999464 + 0.0327341i \(0.0104214\pi\)
0.0327341 + 0.999464i \(0.489579\pi\)
\(4\) 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 \(-0.534438\pi\)
0.994153 + 0.107980i \(0.0344382\pi\)
\(8\) 1.38175 + 2.46795i 0.488522 + 0.872551i
\(9\) 3.39260i 1.13087i
\(10\) −0.160802 3.15819i −0.0508501 0.998706i
\(11\) 5.90452i 1.78028i 0.455687 + 0.890140i \(0.349394\pi\)
−0.455687 + 0.890140i \(0.650606\pi\)
\(12\) 4.16759 2.86384i 1.20308 0.826720i
\(13\) −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 0.578815 0.815459i \(-0.303515\pi\)
−0.815459 + 0.578815i \(0.803515\pi\)
\(18\) −3.06780 3.68891i −0.723087 0.869485i
\(19\) 2.12103 0.486597 0.243298 0.969952i \(-0.421771\pi\)
0.243298 + 0.969952i \(0.421771\pi\)
\(20\) 3.03068 + 3.28862i 0.677680 + 0.735357i
\(21\) 8.38342 1.82941
\(22\) −5.33924 6.42023i −1.13833 1.36880i
\(23\) −3.10133 3.10133i −0.646673 0.646673i 0.305515 0.952187i \(-0.401171\pi\)
−0.952187 + 0.305515i \(0.901171\pi\)
\(24\) −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
\(28\) −3.75572 5.46549i −0.709764 1.03288i
\(29\) 5.56185i 1.03281i −0.856345 0.516405i \(-0.827270\pi\)
0.856345 0.516405i \(-0.172730\pi\)
\(30\) 5.35878 5.93375i 0.978375 1.08335i
\(31\) 7.23441i 1.29934i 0.760217 + 0.649669i \(0.225092\pi\)
−0.760217 + 0.649669i \(0.774908\pi\)
\(32\) 5.35699 1.81733i 0.946991 0.321261i
\(33\) −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 0.503445 0.864027i \(-0.332066\pi\)
−0.864027 + 0.503445i \(0.832066\pi\)
\(38\) −2.30628 + 1.91796i −0.374128 + 0.311135i
\(39\) −2.52836 −0.404861
\(40\) −6.26915 0.835322i −0.991240 0.132076i
\(41\) −0.538879 −0.0841588 −0.0420794 0.999114i \(-0.513398\pi\)
−0.0420794 + 0.999114i \(0.513398\pi\)
\(42\) −9.11564 + 7.58081i −1.40657 + 1.16974i
\(43\) 5.78842 + 5.78842i 0.882726 + 0.882726i 0.993811 0.111085i \(-0.0354325\pi\)
−0.111085 + 0.993811i \(0.535432\pi\)
\(44\) 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 \(-0.615130\pi\)
0.935299 + 0.353858i \(0.115130\pi\)
\(48\) −4.11211 9.23970i −0.593532 1.33364i
\(49\) 3.99424i 0.570606i
\(50\) 5.86781 + 3.94573i 0.829834 + 0.558011i
\(51\) 3.48879i 0.488528i
\(52\) 1.13269 + 1.64834i 0.157076 + 0.228583i
\(53\) 7.09286 7.09286i 0.974279 0.974279i −0.0253982 0.999677i \(-0.508085\pi\)
0.999677 + 0.0253982i \(0.00808537\pi\)
\(54\) 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
\(58\) 5.02937 + 6.04762i 0.660388 + 0.794092i
\(59\) −3.05954 −0.398319 −0.199159 0.979967i \(-0.563821\pi\)
−0.199159 + 0.979967i \(0.563821\pi\)
\(60\) −0.461154 + 11.2978i −0.0595347 + 1.45853i
\(61\) 8.82521 1.12995 0.564976 0.825107i \(-0.308885\pi\)
0.564976 + 0.825107i \(0.308885\pi\)
\(62\) −6.54180 7.86626i −0.830809 0.999016i
\(63\) 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 \(-0.678413\pi\)
0.846989 + 0.531611i \(0.178413\pi\)
\(68\) −2.27448 + 1.56295i −0.275821 + 0.189536i
\(69\) 11.0892i 1.33499i
\(70\) −7.78168 7.02765i −0.930089 0.839965i
\(71\) 8.53161i 1.01252i −0.862382 0.506258i \(-0.831028\pi\)
0.862382 0.506258i \(-0.168972\pi\)
\(72\) −8.37276 + 4.68772i −0.986739 + 0.552454i
\(73\) 2.76749 2.76749i 0.323910 0.323910i −0.526355 0.850265i \(-0.676442\pi\)
0.850265 + 0.526355i \(0.176442\pi\)
\(74\) 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
\(78\) 2.74919 2.28630i 0.311284 0.258872i
\(79\) 7.02598 0.790484 0.395242 0.918577i \(-0.370661\pi\)
0.395242 + 0.918577i \(0.370661\pi\)
\(80\) 7.57205 4.76068i 0.846581 0.532260i
\(81\) 7.66807 0.852008
\(82\) 0.585945 0.487288i 0.0647068 0.0538120i
\(83\) −6.93558 6.93558i −0.761279 0.761279i 0.215275 0.976554i \(-0.430935\pi\)
−0.976554 + 0.215275i \(0.930935\pi\)
\(84\) 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
\(88\) −14.5721 + 8.15857i −1.55339 + 0.869707i
\(89\) 9.42448i 0.998993i 0.866316 + 0.499496i \(0.166482\pi\)
−0.866316 + 0.499496i \(0.833518\pi\)
\(90\) 10.7145 0.545537i 1.12940 0.0575046i
\(91\) 3.31576i 0.347586i
\(92\) −7.22952 + 4.96791i −0.753730 + 0.517940i
\(93\) −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 −0.974284 0.225322i \(-0.927657\pi\)
−0.225322 0.974284i \(-0.572343\pi\)
\(98\) 3.61184 + 4.34310i 0.364851 + 0.438720i
\(99\) −20.0317 −2.01326
\(100\) −9.94829 + 1.01569i −0.994829 + 0.101569i
\(101\) −4.69937 −0.467605 −0.233803 0.972284i \(-0.575117\pi\)
−0.233803 + 0.972284i \(0.575117\pi\)
\(102\) 3.15478 + 3.79350i 0.312369 + 0.375612i
\(103\) −0.855000 0.855000i −0.0842456 0.0842456i 0.663728 0.747974i \(-0.268973\pi\)
−0.747974 + 0.663728i \(0.768973\pi\)
\(104\) −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 −0.302889 + 0.953026i \(0.597951\pi\)
−0.953026 + 0.302889i \(0.902049\pi\)
\(108\) 1.12434 + 1.63619i 0.108190 + 0.157442i
\(109\) 2.62288i 0.251226i 0.992079 + 0.125613i \(0.0400898\pi\)
−0.992079 + 0.125613i \(0.959910\pi\)
\(110\) 18.6476 0.949459i 1.77798 0.0905273i
\(111\) 7.84257i 0.744383i
\(112\) −12.1172 + 5.39273i −1.14497 + 0.509565i
\(113\) 10.8980 10.8980i 1.02520 1.02520i 0.0255277 0.999674i \(-0.491873\pi\)
0.999674 0.0255277i \(-0.00812660\pi\)
\(114\) −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
\(118\) 3.32677 2.76663i 0.306254 0.254689i
\(119\) −4.57529 −0.419416
\(120\) −9.71470 12.7015i −0.886827 1.15948i
\(121\) −23.8634 −2.16940
\(122\) −9.59601 + 7.98031i −0.868782 + 0.722503i
\(123\) −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 \(-0.662753\pi\)
0.872107 + 0.489315i \(0.162753\pi\)
\(128\) −1.62048 11.1971i −0.143231 0.989689i
\(129\) 20.6973i 1.82230i
\(130\) 2.34688 + 2.11947i 0.205835 + 0.185890i
\(131\) 6.36243i 0.555888i 0.960597 + 0.277944i \(0.0896529\pi\)
−0.960597 + 0.277944i \(0.910347\pi\)
\(132\) 16.9096 + 24.6076i 1.47179 + 2.14182i
\(133\) 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 0.677643 0.735391i \(-0.263001\pi\)
−0.735391 + 0.677643i \(0.763001\pi\)
\(138\) 10.0276 + 12.0578i 0.853605 + 1.02643i
\(139\) −4.46061 −0.378344 −0.189172 0.981944i \(-0.560580\pi\)
−0.189172 + 0.981944i \(0.560580\pi\)
\(140\) 14.8162 + 0.604769i 1.25220 + 0.0511124i
\(141\) 14.2531 1.20032
\(142\) 7.71481 + 9.27677i 0.647413 + 0.778489i
\(143\) −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
\(148\) −5.11288 + 3.51342i −0.420276 + 0.288801i
\(149\) 7.40369i 0.606534i 0.952906 + 0.303267i \(0.0980775\pi\)
−0.952906 + 0.303267i \(0.901923\pi\)
\(150\) 3.43633 + 17.5448i 0.280575 + 1.43253i
\(151\) 8.25499i 0.671782i −0.941901 0.335891i \(-0.890963\pi\)
0.941901 0.335891i \(-0.109037\pi\)
\(152\) 2.93073 + 5.23458i 0.237713 + 0.424581i
\(153\) 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 −0.985915 0.167249i \(-0.946512\pi\)
−0.167249 0.985915i \(-0.553488\pi\)
\(158\) −7.63963 + 6.35333i −0.607776 + 0.505444i
\(159\) 25.3615 2.01130
\(160\) −3.92850 + 12.0236i −0.310575 + 0.950549i
\(161\) −14.5427 −1.14613
\(162\) −8.33781 + 6.93395i −0.655080 + 0.544782i
\(163\) 9.14075 + 9.14075i 0.715959 + 0.715959i 0.967775 0.251816i \(-0.0810278\pi\)
−0.251816 + 0.967775i \(0.581028\pi\)
\(164\) −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 \(-0.703212\pi\)
0.803046 + 0.595918i \(0.203212\pi\)
\(168\) 11.5838 + 20.6899i 0.893709 + 1.59626i
\(169\) 1.00000i 0.0769231i
\(170\) −2.92458 + 3.23837i −0.224305 + 0.248372i
\(171\) 7.19579i 0.550276i
\(172\) 13.4934 9.27226i 1.02886 0.707003i
\(173\) −4.31314 + 4.31314i −0.327922 + 0.327922i −0.851796 0.523874i \(-0.824486\pi\)
0.523874 + 0.851796i \(0.324486\pi\)
\(174\) −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
\(178\) −8.52220 10.2476i −0.638766 0.768092i
\(179\) 10.4807 0.783364 0.391682 0.920101i \(-0.371893\pi\)
0.391682 + 0.920101i \(0.371893\pi\)
\(180\) −11.1570 + 10.2819i −0.831591 + 0.766365i
\(181\) −15.5219 −1.15374 −0.576868 0.816837i \(-0.695725\pi\)
−0.576868 + 0.816837i \(0.695725\pi\)
\(182\) −2.99831 3.60536i −0.222250 0.267247i
\(183\) 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
\(188\) −6.38528 9.29214i −0.465694 0.677699i
\(189\) 3.29132i 0.239408i
\(190\) −0.341065 6.69859i −0.0247435 0.485967i
\(191\) 13.2435i 0.958268i 0.877742 + 0.479134i \(0.159049\pi\)
−0.877742 + 0.479134i \(0.840951\pi\)
\(192\) −19.6691 + 4.71742i −1.41949 + 0.340450i
\(193\) −14.6402 + 14.6402i −1.05383 + 1.05383i −0.0553595 + 0.998466i \(0.517630\pi\)
−0.998466 + 0.0553595i \(0.982370\pi\)
\(194\) 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 −0.959991 0.280030i \(-0.909656\pi\)
−0.280030 0.959991i \(-0.590344\pi\)
\(198\) 21.7813 18.1139i 1.54793 1.28730i
\(199\) −26.2930 −1.86386 −0.931930 0.362639i \(-0.881876\pi\)
−0.931930 + 0.362639i \(0.881876\pi\)
\(200\) 9.89873 10.1003i 0.699946 0.714196i
\(201\) 9.23045 0.651066
\(202\) 5.10982 4.24947i 0.359526 0.298991i
\(203\) −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
\(208\) 3.65443 1.62639i 0.253389 0.112770i
\(209\) 12.5236i 0.866278i
\(210\) −1.34807 26.4764i −0.0930258 1.82705i
\(211\) 6.67079i 0.459236i −0.973281 0.229618i \(-0.926252\pi\)
0.973281 0.229618i \(-0.0737477\pi\)
\(212\) −11.3618 16.5342i −0.780331 1.13557i
\(213\) 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
\(218\) −2.37177 2.85196i −0.160636 0.193159i
\(219\) 9.89555 0.668679
\(220\) −19.4177 + 17.8947i −1.30914 + 1.20646i
\(221\) 1.37986 0.0928195
\(222\) 7.09174 + 8.52754i 0.475966 + 0.572331i
\(223\) 3.91569 + 3.91569i 0.262214 + 0.262214i 0.825953 0.563739i \(-0.190638\pi\)
−0.563739 + 0.825953i \(0.690638\pi\)
\(224\) 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 \(-0.743411\pi\)
0.721592 + 0.692319i \(0.243411\pi\)
\(228\) 8.83956 6.07428i 0.585414 0.402279i
\(229\) 6.34608i 0.419361i 0.977770 + 0.209680i \(0.0672423\pi\)
−0.977770 + 0.209680i \(0.932758\pi\)
\(230\) −9.29589 + 10.2933i −0.612953 + 0.678719i
\(231\) 49.5001i 3.25687i
\(232\) 13.7263 7.68508i 0.901179 0.504550i
\(233\) 6.40187 6.40187i 0.419401 0.419401i −0.465596 0.884997i \(-0.654160\pi\)
0.884997 + 0.465596i \(0.154160\pi\)
\(234\) 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
\(238\) 4.97489 4.13726i 0.322475 0.268179i
\(239\) −16.6919 −1.07971 −0.539855 0.841758i \(-0.681521\pi\)
−0.539855 + 0.841758i \(0.681521\pi\)
\(240\) 22.0487 + 5.02623i 1.42324 + 0.324442i
\(241\) −4.87302 −0.313899 −0.156950 0.987607i \(-0.550166\pi\)
−0.156950 + 0.987607i \(0.550166\pi\)
\(242\) 25.9476 21.5787i 1.66798 1.38713i
\(243\) 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
\(248\) −17.8541 + 9.99614i −1.13374 + 0.634756i
\(249\) 24.7991i 1.57158i
\(250\) −14.9275 + 5.21250i −0.944097 + 0.329667i
\(251\) 3.80662i 0.240271i −0.992757 0.120136i \(-0.961667\pi\)
0.992757 0.120136i \(-0.0383330\pi\)
\(252\) 18.5422 12.7416i 1.16805 0.802648i
\(253\) 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 0.999310 0.0371497i \(-0.0118278\pi\)
−0.0371497 + 0.999310i \(0.511828\pi\)
\(258\) −18.7158 22.5050i −1.16519 1.40110i
\(259\) −10.2850 −0.639076
\(260\) −4.46842 0.182393i −0.277119 0.0113115i
\(261\) 18.8691 1.16797
\(262\) −5.75330 6.91813i −0.355440 0.427403i
\(263\) 2.06774 + 2.06774i 0.127502 + 0.127502i 0.767978 0.640476i \(-0.221263\pi\)
−0.640476 + 0.767978i \(0.721263\pi\)
\(264\) −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
\(268\) −4.13518 6.01770i −0.252596 0.367589i
\(269\) 1.08783i 0.0663260i −0.999450 0.0331630i \(-0.989442\pi\)
0.999450 0.0331630i \(-0.0105580\pi\)
\(270\) 2.32958 + 2.10385i 0.141774 + 0.128036i
\(271\) 18.6868i 1.13514i 0.823325 + 0.567570i \(0.192116\pi\)
−0.823325 + 0.567570i \(0.807884\pi\)
\(272\) 2.24420 + 5.04260i 0.136075 + 0.305753i
\(273\) −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 0.745599 0.666395i \(-0.232164\pi\)
−0.666395 + 0.745599i \(0.732164\pi\)
\(278\) 4.85020 4.03356i 0.290896 0.241917i
\(279\) −24.5434 −1.46938
\(280\) −16.6571 + 12.7401i −0.995452 + 0.761368i
\(281\) −7.34919 −0.438416 −0.219208 0.975678i \(-0.570347\pi\)
−0.219208 + 0.975678i \(0.570347\pi\)
\(282\) −15.4979 + 12.8885i −0.922889 + 0.767500i
\(283\) 7.05023 + 7.05023i 0.419093 + 0.419093i 0.884891 0.465798i \(-0.154233\pi\)
−0.465798 + 0.884891i \(0.654233\pi\)
\(284\) −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
\(288\) 6.16546 + 18.1741i 0.363303 + 1.07092i
\(289\) 15.0960i 0.887999i
\(290\) −17.5654 + 0.894356i −1.03147 + 0.0525184i
\(291\) 42.2453i 2.47646i
\(292\) −4.43314 6.45130i −0.259430 0.377534i
\(293\) −11.9457 + 11.9457i −0.697876 + 0.697876i −0.963952 0.266076i \(-0.914273\pi\)
0.266076 + 0.963952i \(0.414273\pi\)
\(294\) −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
\(298\) −6.69488 8.05034i −0.387824 0.466344i
\(299\) 4.38595 0.253646
\(300\) −19.6016 15.9699i −1.13170 0.922021i
\(301\) 27.1430 1.56450
\(302\) 7.46468 + 8.97599i 0.429544 + 0.516510i
\(303\) −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 \(-0.739855\pi\)
0.729280 + 0.684215i \(0.239855\pi\)
\(308\) 32.2711 22.1757i 1.83882 1.26358i
\(309\) 3.05717i 0.173916i
\(310\) 22.8476 1.16331i 1.29766 0.0660714i
\(311\) 18.0187i 1.02174i 0.859657 + 0.510872i \(0.170677\pi\)
−0.859657 + 0.510872i \(0.829323\pi\)
\(312\) −3.49356 6.23986i −0.197784 0.353262i
\(313\) 19.4426 19.4426i 1.09896 1.09896i 0.104427 0.994533i \(-0.466699\pi\)
0.994533 0.104427i \(-0.0333008\pi\)
\(314\) 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 0.406635 0.913591i \(-0.366702\pi\)
−0.913591 + 0.406635i \(0.866702\pi\)
\(318\) −27.5766 + 22.9335i −1.54642 + 1.28604i
\(319\) 32.8400 1.83869
\(320\) −6.60087 16.6261i −0.369000 0.929430i
\(321\) −46.4521 −2.59271
\(322\) 15.8129 13.1504i 0.881219 0.732846i
\(323\) −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
\(328\) −0.744596 1.32993i −0.0411134 0.0734328i
\(329\) 18.6919i 1.03052i
\(330\) 35.0360 + 31.6411i 1.92867 + 1.74178i
\(331\) 2.06198i 0.113336i −0.998393 0.0566682i \(-0.981952\pi\)
0.998393 0.0566682i \(-0.0180477\pi\)
\(332\) −16.1675 + 11.1099i −0.887309 + 0.609732i
\(333\) 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 0.916300 0.400493i \(-0.131161\pi\)
−0.400493 + 0.916300i \(0.631161\pi\)
\(338\) 0.904262 + 1.08734i 0.0491854 + 0.0591435i
\(339\) 38.9675 2.11642
\(340\) 0.251677 6.16579i 0.0136491 0.334387i
\(341\) −42.7157 −2.31319
\(342\) −6.50688 7.82427i −0.351852 0.423088i
\(343\) 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 \(-0.843274\pi\)
0.472716 + 0.881215i \(0.343274\pi\)
\(348\) −15.9283 23.1795i −0.853844 1.24255i
\(349\) 4.69447i 0.251289i −0.992075 0.125644i \(-0.959900\pi\)
0.992075 0.125644i \(-0.0400999\pi\)
\(350\) 23.0088 4.50650i 1.22987 0.240882i
\(351\) 0.992630i 0.0529827i
\(352\) 10.7304 + 31.6305i 0.571934 + 1.68591i
\(353\) 7.77497 7.77497i 0.413820 0.413820i −0.469247 0.883067i \(-0.655475\pi\)
0.883067 + 0.469247i \(0.155475\pi\)
\(354\) 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
\(358\) −11.3961 + 9.47730i −0.602302 + 0.500891i
\(359\) −22.3596 −1.18009 −0.590046 0.807369i \(-0.700891\pi\)
−0.590046 + 0.807369i \(0.700891\pi\)
\(360\) 2.83391 21.2687i 0.149360 1.12096i
\(361\) −14.5013 −0.763224
\(362\) 16.8776 14.0359i 0.887068 0.737710i
\(363\) −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 \(-0.627096\pi\)
0.921339 + 0.388760i \(0.127096\pi\)
\(368\) 7.13328 + 16.0281i 0.371848 + 0.835524i
\(369\) 1.82820i 0.0951723i
\(370\) −6.57426 + 7.27965i −0.341780 + 0.378451i
\(371\) 33.2598i 1.72676i
\(372\) 20.7182 + 30.1500i 1.07419 + 1.56321i
\(373\) −17.6595 + 17.6595i −0.914372 + 0.914372i −0.996613 0.0822402i \(-0.973793\pi\)
0.0822402 + 0.996613i \(0.473793\pi\)
\(374\) −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
\(378\) −2.97622 3.57879i −0.153080 0.184073i
\(379\) −6.98725 −0.358911 −0.179456 0.983766i \(-0.557434\pi\)
−0.179456 + 0.983766i \(0.557434\pi\)
\(380\) 6.42814 + 6.97524i 0.329757 + 0.357822i
\(381\) 15.4247 0.790233
\(382\) −11.9756 14.4002i −0.612726 0.736779i
\(383\) −8.29838 8.29838i −0.424028 0.424028i 0.462560 0.886588i \(-0.346931\pi\)
−0.886588 + 0.462560i \(0.846931\pi\)
\(384\) 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
\(388\) −27.5414 + 18.9256i −1.39820 + 0.960802i
\(389\) 8.88726i 0.450602i −0.974289 0.225301i \(-0.927663\pi\)
0.974289 0.225301i \(-0.0723365\pi\)
\(390\) 0.406565 + 7.98503i 0.0205872 + 0.404338i
\(391\) 6.05200i 0.306063i
\(392\) 9.85759 5.51905i 0.497883 0.278754i
\(393\) −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 0.978428 0.206590i \(-0.0662365\pi\)
−0.206590 + 0.978428i \(0.566237\pi\)
\(398\) 28.5894 23.7757i 1.43306 1.19177i
\(399\) 17.7815 0.890186
\(400\) −1.63001 + 19.9335i −0.0815006 + 0.996673i
\(401\) −7.73585 −0.386310 −0.193155 0.981168i \(-0.561872\pi\)
−0.193155 + 0.981168i \(0.561872\pi\)
\(402\) −10.0366 + 8.34675i −0.500582 + 0.416298i
\(403\) −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
\(408\) 8.61014 4.82063i 0.426265 0.238657i
\(409\) 7.27059i 0.359508i 0.983712 + 0.179754i \(0.0575301\pi\)
−0.983712 + 0.179754i \(0.942470\pi\)
\(410\) 0.0866528 + 1.70188i 0.00427948 + 0.0840499i
\(411\) 2.41686i 0.119215i
\(412\) −1.99309 + 1.36959i −0.0981926 + 0.0674750i
\(413\) −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
\(418\) −11.3247 13.6175i −0.553907 0.666052i
\(419\) 28.5271 1.39364 0.696819 0.717247i \(-0.254598\pi\)
0.696819 + 0.717247i \(0.254598\pi\)
\(420\) 25.4074 + 27.5699i 1.23976 + 1.34527i
\(421\) 29.4919 1.43735 0.718674 0.695347i \(-0.244749\pi\)
0.718674 + 0.695347i \(0.244749\pi\)
\(422\) 6.03214 + 7.25342i 0.293640 + 0.353091i
\(423\) 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
\(428\) 20.8103 + 30.2840i 1.00590 + 1.46383i
\(429\) 14.9287i 0.720767i
\(430\) 17.3501 19.2117i 0.836698 0.926471i
\(431\) 22.3840i 1.07820i 0.842242 + 0.539099i \(0.181235\pi\)
−0.842242 + 0.539099i \(0.818765\pi\)
\(432\) 3.62749 1.61441i 0.174528 0.0776733i
\(433\) −9.07817 + 9.07817i −0.436269 + 0.436269i −0.890754 0.454485i \(-0.849823\pi\)
0.454485 + 0.890754i \(0.349823\pi\)
\(434\) −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
\(438\) −10.7598 + 8.94817i −0.514125 + 0.427560i
\(439\) 0.367210 0.0175260 0.00876298 0.999962i \(-0.497211\pi\)
0.00876298 + 0.999962i \(0.497211\pi\)
\(440\) 4.93218 37.0163i 0.235132 1.76468i
\(441\) 13.5509 0.645279
\(442\) −1.50038 + 1.24776i −0.0713658 + 0.0593497i
\(443\) −15.4141 15.4141i −0.732348 0.732348i 0.238736 0.971084i \(-0.423267\pi\)
−0.971084 + 0.238736i \(0.923267\pi\)
\(444\) −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
\(448\) 6.18654 + 25.7945i 0.292287 + 1.21868i
\(449\) 40.2066i 1.89747i −0.316079 0.948733i \(-0.602366\pi\)
0.316079 0.948733i \(-0.397634\pi\)
\(450\) −13.3863 + 19.9071i −0.631035 + 0.938431i
\(451\) 3.18182i 0.149826i
\(452\) −17.4572 25.4045i −0.821116 1.19492i
\(453\) 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 0.888029 0.459787i \(-0.152074\pi\)
−0.459787 + 0.888029i \(0.652074\pi\)
\(458\) −5.73852 6.90035i −0.268143 0.322432i
\(459\) 1.36969 0.0639318
\(460\) 0.799964 19.5982i 0.0372985 0.913772i
\(461\) 28.6420 1.33399 0.666995 0.745062i \(-0.267580\pi\)
0.666995 + 0.745062i \(0.267580\pi\)
\(462\) −44.7611 53.8235i −2.08247 2.50409i
\(463\) −20.4203 20.4203i −0.949010 0.949010i 0.0497517 0.998762i \(-0.484157\pi\)
−0.998762 + 0.0497517i \(0.984157\pi\)
\(464\) −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 \(-0.996331\pi\)
0.0115276 + 0.999934i \(0.496331\pi\)
\(468\) −5.59215 + 3.84276i −0.258497 + 0.177631i
\(469\) 12.1051i 0.558959i
\(470\) −13.2300 11.9481i −0.610255 0.551123i
\(471\) 51.6648i 2.38059i
\(472\) −4.22752 7.55079i −0.194588 0.347553i
\(473\) −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
\(478\) 18.1498 15.0939i 0.830153 0.690378i
\(479\) 4.14375 0.189333 0.0946664 0.995509i \(-0.469822\pi\)
0.0946664 + 0.995509i \(0.469822\pi\)
\(480\) −28.5195 + 14.4726i −1.30173 + 0.660580i
\(481\) 3.10184 0.141432
\(482\) 5.29864 4.40649i 0.241346 0.200710i
\(483\) −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 −0.127273 + 0.991868i \(0.540622\pi\)
−0.991868 + 0.127273i \(0.959378\pi\)
\(488\) 12.1942 + 21.7802i 0.552007 + 0.985942i
\(489\) 32.6840i 1.47802i
\(490\) −12.6146 + 0.642283i −0.569868 + 0.0290154i
\(491\) 19.3185i 0.871832i −0.899987 0.435916i \(-0.856424\pi\)
0.899987 0.435916i \(-0.143576\pi\)
\(492\) −2.24583 + 1.54326i −0.101250 + 0.0695757i
\(493\) −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
\(498\) 22.4249 + 26.9651i 1.00488 + 1.20834i
\(499\) −4.80183 −0.214959 −0.107480 0.994207i \(-0.534278\pi\)
−0.107480 + 0.994207i \(0.534278\pi\)
\(500\) 11.5178 19.1661i 0.515092 0.857135i
\(501\) 9.57085 0.427594
\(502\) 3.44218 + 4.13909i 0.153632 + 0.184737i
\(503\) −7.80160 7.80160i −0.347856 0.347856i 0.511454 0.859310i \(-0.329107\pi\)
−0.859310 + 0.511454i \(0.829107\pi\)
\(504\) −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
\(508\) −6.91018 10.0560i −0.306590 0.446163i
\(509\) 41.1405i 1.82352i 0.410725 + 0.911759i \(0.365276\pi\)
−0.410725 + 0.911759i \(0.634724\pi\)
\(510\) −11.0182 + 0.561004i −0.487896 + 0.0248417i
\(511\) 12.9773i 0.574081i
\(512\) −22.6097 0.896029i −0.999216 0.0395992i
\(513\) −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
\(518\) 11.1832 9.30029i 0.491364 0.408631i
\(519\) −15.4222 −0.676962
\(520\) 5.02362 3.84230i 0.220300 0.168496i
\(521\) 17.4587 0.764881 0.382441 0.923980i \(-0.375084\pi\)
0.382441 + 0.923980i \(0.375084\pi\)
\(522\) −20.5172 + 17.0626i −0.898012 + 0.746811i
\(523\) 20.3908 + 20.3908i 0.891627 + 0.891627i 0.994676 0.103050i \(-0.0328600\pi\)
−0.103050 + 0.994676i \(0.532860\pi\)
\(524\) 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
\(528\) 54.5560 24.2800i 2.37425 1.05665i
\(529\) 3.76347i 0.163629i
\(530\) −23.5411 21.2600i −1.02256 0.923477i
\(531\) 10.3798i 0.450445i
\(532\) −7.96597 11.5924i −0.345369 0.502596i
\(533\) 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
\(538\) 0.983681 + 1.18284i 0.0424095 + 0.0509958i
\(539\) 23.5841 1.01584
\(540\) −4.43548 0.181048i −0.190873 0.00779108i
\(541\) −13.3562 −0.574228 −0.287114 0.957896i \(-0.592696\pi\)
−0.287114 + 0.957896i \(0.592696\pi\)
\(542\) −16.8977 20.3189i −0.725820 0.872770i
\(543\) −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 \(-0.914350\pi\)
0.265842 + 0.964017i \(0.414350\pi\)
\(548\) −1.57565 + 1.08274i −0.0673082 + 0.0462522i
\(549\) 29.9404i 1.27783i
\(550\) −23.2977 + 34.6466i −0.993415 + 1.47734i
\(551\) 11.7968i 0.502561i
\(552\) 27.3677 15.3226i 1.16485 0.652172i
\(553\) 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 0.618472 0.785807i \(-0.287752\pi\)
−0.785807 + 0.618472i \(0.787752\pi\)
\(558\) 26.6871 22.1937i 1.12975 0.939534i
\(559\) −8.18607 −0.346234
\(560\) 6.59154 28.9152i 0.278543 1.22189i
\(561\) 20.5996 0.869716
\(562\) 7.99107 6.64559i 0.337083 0.280327i
\(563\) 28.4131 + 28.4131i 1.19747 + 1.19747i 0.974922 + 0.222547i \(0.0714371\pi\)
0.222547 + 0.974922i \(0.428563\pi\)
\(564\) 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
\(568\) 21.0556 11.7886i 0.883472 0.494637i
\(569\) 1.74697i 0.0732369i −0.999329 0.0366184i \(-0.988341\pi\)
0.999329 0.0366184i \(-0.0116586\pi\)
\(570\) 11.3661 12.5856i 0.476074 0.527155i
\(571\) 15.3998i 0.644460i −0.946661 0.322230i \(-0.895568\pi\)
0.946661 0.322230i \(-0.104432\pi\)
\(572\) −9.73265 + 6.68798i −0.406942 + 0.279639i
\(573\) −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 0.679199 0.733954i \(-0.262327\pi\)
−0.733954 + 0.679199i \(0.762327\pi\)
\(578\) 13.6507 + 16.4145i 0.567795 + 0.682752i
\(579\) −52.3481 −2.17551
\(580\) 18.2908 16.8562i 0.759484 0.699914i
\(581\) −32.5223 −1.34925
\(582\) 38.2008 + 45.9350i 1.58348 + 1.90407i
\(583\) 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 \(-0.685789\pi\)
0.834443 + 0.551094i \(0.185789\pi\)
\(588\) −11.4389 16.6464i −0.471732 0.686485i
\(589\) 15.3444i 0.632253i
\(590\) 0.491981 + 9.66261i 0.0202545 + 0.397803i
\(591\) 62.2323i 2.55990i
\(592\) 5.04482 + 11.3355i 0.207341 + 0.465884i
\(593\) 27.3416 27.3416i 1.12279 1.12279i 0.131466 0.991321i \(-0.458032\pi\)
0.991321 0.131466i \(-0.0419683\pi\)
\(594\) 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
\(598\) −4.76902 + 3.96605i −0.195020 + 0.162184i
\(599\) −29.1119 −1.18948 −0.594740 0.803918i \(-0.702745\pi\)
−0.594740 + 0.803918i \(0.702745\pi\)
\(600\) 35.7546 0.360292i 1.45967 0.0147088i
\(601\) 18.6652 0.761370 0.380685 0.924705i \(-0.375688\pi\)
0.380685 + 0.924705i \(0.375688\pi\)
\(602\) −29.5137 + 24.5444i −1.20289 + 1.00035i
\(603\) 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 \(-0.856108\pi\)
0.436809 + 0.899554i \(0.356108\pi\)
\(608\) 11.3623 3.85459i 0.460802 0.156324i
\(609\) 46.6273i 1.88943i
\(610\) −1.41911 27.8717i −0.0574581 1.12849i
\(611\) 5.63728i 0.228060i
\(612\) −5.30247 7.71639i −0.214340 0.311917i
\(613\) −7.48848 + 7.48848i −0.302457 + 0.302457i −0.841974 0.539517i \(-0.818607\pi\)
0.539517 + 0.841974i \(0.318607\pi\)
\(614\) −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 0.612022 0.790841i \(-0.290356\pi\)
−0.790841 + 0.612022i \(0.790356\pi\)
\(618\) 2.76448 + 3.32419i 0.111204 + 0.133718i
\(619\) 29.5686 1.18846 0.594231 0.804294i \(-0.297456\pi\)
0.594231 + 0.804294i \(0.297456\pi\)
\(620\) −23.7912 + 21.9251i −0.955477 + 0.880535i
\(621\) 4.35362 0.174705
\(622\) −16.2936 19.5924i −0.653314 0.785585i
\(623\) 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
\(628\) −33.6823 + 23.1455i −1.34407 + 0.923605i
\(629\) 4.28011i 0.170659i
\(630\) 23.8420 26.4001i 0.949888 1.05181i
\(631\) 7.08057i 0.281873i 0.990019 + 0.140937i \(0.0450113\pi\)
−0.990019 + 0.140937i \(0.954989\pi\)
\(632\) 9.70815 + 17.3397i 0.386169 + 0.689738i
\(633\) 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
\(638\) −35.7083 + 29.6960i −1.41371 + 1.17568i
\(639\) 28.9443 1.14502
\(640\) 22.2118 + 12.1094i 0.877998 + 0.478665i
\(641\) 47.7079 1.88435 0.942174 0.335124i \(-0.108778\pi\)
0.942174 + 0.335124i \(0.108778\pi\)
\(642\) 50.5093 42.0049i 1.99344 1.65780i
\(643\) 7.14982 + 7.14982i 0.281961 + 0.281961i 0.833891 0.551929i \(-0.186108\pi\)
−0.551929 + 0.833891i \(0.686108\pi\)
\(644\) −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 \(-0.655052\pi\)
0.883689 + 0.468075i \(0.155052\pi\)
\(648\) 10.5954 + 18.9244i 0.416225 + 0.743421i
\(649\) 18.0651i 0.709119i
\(650\) −6.93922 + 1.35912i −0.272179 + 0.0533089i
\(651\) 60.6491i 2.37703i
\(652\) 21.3080 14.6422i 0.834487 0.573434i
\(653\) 13.5641 13.5641i 0.530805 0.530805i −0.390007 0.920812i \(-0.627527\pi\)
0.920812 + 0.390007i \(0.127527\pi\)
\(654\) 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
\(658\) 16.9023 + 20.3244i 0.658922 + 0.792328i
\(659\) 12.8543 0.500732 0.250366 0.968151i \(-0.419449\pi\)
0.250366 + 0.968151i \(0.419449\pi\)
\(660\) −66.7078 2.72289i −2.59660 0.105988i
\(661\) −21.0808 −0.819949 −0.409975 0.912097i \(-0.634462\pi\)
−0.409975 + 0.912097i \(0.634462\pi\)
\(662\) 1.86457 + 2.24207i 0.0724685 + 0.0871405i
\(663\) 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
\(668\) −4.28768 6.23962i −0.165895 0.241418i
\(669\) 14.0011i 0.541314i
\(670\) −8.56791 7.73769i −0.331007 0.298933i
\(671\) 52.1087i 2.01163i
\(672\) 44.9099 15.2354i 1.73244 0.587719i
\(673\) 4.99164 4.99164i 0.192414 0.192414i −0.604325 0.796738i \(-0.706557\pi\)
0.796738 + 0.604325i \(0.206557\pi\)
\(674\) −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 0.0787317 0.996896i \(-0.474913\pi\)
−0.996896 + 0.0787317i \(0.974913\pi\)
\(678\) −42.3709 + 35.2368i −1.62725 + 1.35326i
\(679\) −55.4016 −2.12612
\(680\) 5.30184 + 6.93190i 0.203316 + 0.265826i
\(681\) 1.57699 0.0604302
\(682\) 46.4465 38.6262i 1.77853 1.47907i
\(683\) −28.7712 28.7712i −1.10090 1.10090i −0.994302 0.106598i \(-0.966004\pi\)
−0.106598 0.994302i \(-0.533996\pi\)
\(684\) 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
\(688\) −13.3138 29.9154i −0.507583 1.14051i
\(689\) 10.0308i 0.382144i
\(690\) −35.0219 + 1.78317i −1.33326 + 0.0678842i
\(691\) 14.3829i 0.547153i −0.961850 0.273576i \(-0.911793\pi\)
0.961850 0.273576i \(-0.0882067\pi\)
\(692\) 6.90906 + 10.0544i 0.262643 + 0.382210i
\(693\) −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
\(698\) 4.24503 + 5.10448i 0.160677 + 0.193208i
\(699\) 22.8908 0.865809
\(700\) −20.9433 + 25.7061i −0.791583 + 0.971598i
\(701\) −0.729357 −0.0275474 −0.0137737 0.999905i \(-0.504384\pi\)
−0.0137737 + 0.999905i \(0.504384\pi\)
\(702\) 0.897598 + 1.07933i 0.0338777 + 0.0407366i
\(703\) −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
\(708\) −12.7509 + 8.76205i −0.479209 + 0.329298i
\(709\) 34.6107i 1.29983i −0.760006 0.649916i \(-0.774804\pi\)
0.760006 0.649916i \(-0.225196\pi\)
\(710\) −26.9444 + 1.37190i −1.01121 + 0.0514865i
\(711\) 23.8363i 0.893932i
\(712\) −23.2591 + 13.0223i −0.871673 + 0.488030i
\(713\) 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
\(718\) 24.3125 20.2189i 0.907333 0.754563i
\(719\) 18.2520 0.680684 0.340342 0.940302i \(-0.389457\pi\)
0.340342 + 0.940302i \(0.389457\pi\)
\(720\) 16.1511 + 25.6889i 0.601915 + 0.957370i
\(721\) −4.00926 −0.149312
\(722\) 15.7678 13.1129i 0.586817 0.488013i
\(723\) −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 \(-0.789304\pi\)
0.614633 + 0.788813i \(0.289304\pi\)
\(728\) −8.18312 + 4.58155i −0.303286 + 0.169803i
\(729\) 33.5439i 1.24237i
\(730\) −9.18527 8.29523i −0.339962 0.307020i
\(731\) 11.2956i 0.417784i
\(732\) 36.7799 25.2740i 1.35942 0.934154i
\(733\) −2.92353 + 2.92353i −0.107983 + 0.107983i −0.759034 0.651051i \(-0.774328\pi\)
0.651051 + 0.759034i \(0.274328\pi\)
\(734\) −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
\(738\) 1.65317 + 1.98788i 0.0608541 + 0.0731748i
\(739\) −41.5292 −1.52768 −0.763838 0.645408i \(-0.776687\pi\)
−0.763838 + 0.645408i \(0.776687\pi\)
\(740\) 0.565753 13.8603i 0.0207975 0.509515i
\(741\) −5.36271 −0.197004
\(742\) 30.0755 + 36.1647i 1.10411 + 1.32765i
\(743\) 0.495864 + 0.495864i 0.0181915 + 0.0181915i 0.716144 0.697953i \(-0.245905\pi\)
−0.697953 + 0.716144i \(0.745905\pi\)
\(744\) −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
\(748\) −9.22849 13.4297i −0.337427 0.491039i
\(749\) 60.9186i 2.22592i
\(750\) −36.0067 17.3687i −1.31478 0.634214i
\(751\) 51.0434i 1.86260i −0.364251 0.931301i \(-0.618675\pi\)
0.364251 0.931301i \(-0.381325\pi\)
\(752\) −20.6010 + 9.16844i −0.751242 + 0.334339i
\(753\) 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 0.973850 + 0.227190i \(0.0729539\pi\)
0.227190 + 0.973850i \(0.427046\pi\)
\(758\) 7.59752 6.31831i 0.275954 0.229491i
\(759\) 65.4767 2.37665
\(760\) −13.2970 1.77174i −0.482334 0.0642677i
\(761\) −53.2090 −1.92882 −0.964412 0.264406i \(-0.914824\pi\)
−0.964412 + 0.264406i \(0.914824\pi\)
\(762\) −16.7719 + 13.9480i −0.607584 + 0.505283i
\(763\) 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
\(768\) 2.10499 + 40.3989i 0.0759572 + 1.45777i
\(769\) 42.2296i 1.52284i −0.648259 0.761420i \(-0.724503\pi\)
0.648259 0.761420i \(-0.275497\pi\)
\(770\) 41.4949 45.9471i 1.49537 1.65582i
\(771\) 55.1528i 1.98628i
\(772\) 23.4516 + 34.1278i 0.844042 + 1.22829i
\(773\) −7.25976 + 7.25976i −0.261115 + 0.261115i −0.825507 0.564392i \(-0.809111\pi\)
0.564392 + 0.825507i \(0.309111\pi\)
\(774\) 3.59526 39.1107i 0.129229 1.40580i
\(775\) 34.7121 10.1728i 1.24690 0.365417i