Properties

Label 260.2.o.a.27.12
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 27.12
Character \(\chi\) \(=\) 260.27
Dual form 260.2.o.a.183.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.769019 + 1.18685i) q^{2} +(-0.808783 - 0.808783i) q^{3} +(-0.817219 - 1.82542i) q^{4} +(0.885949 + 2.05307i) q^{5} +(1.58187 - 0.337933i) q^{6} +(0.771151 - 0.771151i) q^{7} +(2.79495 + 0.433867i) q^{8} -1.69174i q^{9} +O(q^{10})\) \(q+(-0.769019 + 1.18685i) q^{2} +(-0.808783 - 0.808783i) q^{3} +(-0.817219 - 1.82542i) q^{4} +(0.885949 + 2.05307i) q^{5} +(1.58187 - 0.337933i) q^{6} +(0.771151 - 0.771151i) q^{7} +(2.79495 + 0.433867i) q^{8} -1.69174i q^{9} +(-3.11799 - 0.527363i) q^{10} -0.875946i q^{11} +(-0.815415 + 2.13732i) q^{12} +(0.707107 - 0.707107i) q^{13} +(0.322210 + 1.50827i) q^{14} +(0.943948 - 2.37703i) q^{15} +(-2.66431 + 2.98353i) q^{16} +(4.91209 + 4.91209i) q^{17} +(2.00784 + 1.30098i) q^{18} +6.89579 q^{19} +(3.02370 - 3.29503i) q^{20} -1.24739 q^{21} +(1.03962 + 0.673619i) q^{22} +(6.03681 + 6.03681i) q^{23} +(-1.90961 - 2.61142i) q^{24} +(-3.43019 + 3.63783i) q^{25} +(0.295450 + 1.38301i) q^{26} +(-3.79460 + 3.79460i) q^{27} +(-2.03787 - 0.777475i) q^{28} -7.85222i q^{29} +(2.09526 + 2.94830i) q^{30} -5.45839i q^{31} +(-1.49210 - 5.45652i) q^{32} +(-0.708451 + 0.708451i) q^{33} +(-9.60741 + 2.05242i) q^{34} +(2.26643 + 0.900026i) q^{35} +(-3.08813 + 1.38252i) q^{36} +(-2.21989 - 2.21989i) q^{37} +(-5.30299 + 8.18426i) q^{38} -1.14379 q^{39} +(1.58543 + 6.12262i) q^{40} -1.36683 q^{41} +(0.959266 - 1.48046i) q^{42} +(-4.34174 - 4.34174i) q^{43} +(-1.59897 + 0.715840i) q^{44} +(3.47326 - 1.49879i) q^{45} +(-11.8072 + 2.52236i) q^{46} +(3.81120 - 3.81120i) q^{47} +(4.56788 - 0.258185i) q^{48} +5.81065i q^{49} +(-1.67967 - 6.86868i) q^{50} -7.94564i q^{51} +(-1.86863 - 0.712905i) q^{52} +(-2.18578 + 2.18578i) q^{53} +(-1.58550 - 7.42174i) q^{54} +(1.79838 - 0.776043i) q^{55} +(2.48991 - 1.82075i) q^{56} +(-5.57720 - 5.57720i) q^{57} +(9.31940 + 6.03851i) q^{58} -0.749270 q^{59} +(-5.11049 + 0.219453i) q^{60} -4.79700 q^{61} +(6.47828 + 4.19761i) q^{62} +(-1.30459 - 1.30459i) q^{63} +(7.62352 + 2.42528i) q^{64} +(2.07820 + 0.825279i) q^{65} +(-0.296011 - 1.38564i) q^{66} +(-10.0709 + 10.0709i) q^{67} +(4.95237 - 12.9809i) q^{68} -9.76494i q^{69} +(-2.81112 + 1.99777i) q^{70} -5.01480i q^{71} +(0.733990 - 4.72833i) q^{72} +(6.85076 - 6.85076i) q^{73} +(4.34181 - 0.927534i) q^{74} +(5.71650 - 0.167936i) q^{75} +(-5.63537 - 12.5877i) q^{76} +(-0.675487 - 0.675487i) q^{77} +(0.879598 - 1.35751i) q^{78} -1.62958 q^{79} +(-8.48584 - 2.82675i) q^{80} +1.06280 q^{81} +(1.05112 - 1.62222i) q^{82} +(-2.66989 - 2.66989i) q^{83} +(1.01939 + 2.27701i) q^{84} +(-5.73301 + 14.4367i) q^{85} +(8.49186 - 1.81410i) q^{86} +(-6.35074 + 6.35074i) q^{87} +(0.380044 - 2.44823i) q^{88} +3.68804i q^{89} +(-0.892160 + 5.27483i) q^{90} -1.09057i q^{91} +(6.08631 - 15.9531i) q^{92} +(-4.41465 + 4.41465i) q^{93} +(1.59243 + 7.45421i) q^{94} +(6.10932 + 14.1575i) q^{95} +(-3.20636 + 5.61993i) q^{96} +(6.65520 + 6.65520i) q^{97} +(-6.89636 - 4.46850i) q^{98} -1.48187 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.769019 + 1.18685i −0.543779 + 0.839229i
\(3\) −0.808783 0.808783i −0.466951 0.466951i 0.433974 0.900925i \(-0.357111\pi\)
−0.900925 + 0.433974i \(0.857111\pi\)
\(4\) −0.817219 1.82542i −0.408609 0.912709i
\(5\) 0.885949 + 2.05307i 0.396208 + 0.918161i
\(6\) 1.58187 0.337933i 0.645797 0.137961i
\(7\) 0.771151 0.771151i 0.291468 0.291468i −0.546192 0.837660i \(-0.683923\pi\)
0.837660 + 0.546192i \(0.183923\pi\)
\(8\) 2.79495 + 0.433867i 0.988165 + 0.153395i
\(9\) 1.69174i 0.563913i
\(10\) −3.11799 0.527363i −0.985996 0.166767i
\(11\) 0.875946i 0.264108i −0.991243 0.132054i \(-0.957843\pi\)
0.991243 0.132054i \(-0.0421572\pi\)
\(12\) −0.815415 + 2.13732i −0.235390 + 0.616991i
\(13\) 0.707107 0.707107i 0.196116 0.196116i
\(14\) 0.322210 + 1.50827i 0.0861141 + 0.403102i
\(15\) 0.943948 2.37703i 0.243726 0.613746i
\(16\) −2.66431 + 2.98353i −0.666077 + 0.745883i
\(17\) 4.91209 + 4.91209i 1.19136 + 1.19136i 0.976686 + 0.214671i \(0.0688681\pi\)
0.214671 + 0.976686i \(0.431132\pi\)
\(18\) 2.00784 + 1.30098i 0.473252 + 0.306644i
\(19\) 6.89579 1.58200 0.791001 0.611815i \(-0.209560\pi\)
0.791001 + 0.611815i \(0.209560\pi\)
\(20\) 3.02370 3.29503i 0.676119 0.736792i
\(21\) −1.24739 −0.272202
\(22\) 1.03962 + 0.673619i 0.221647 + 0.143616i
\(23\) 6.03681 + 6.03681i 1.25876 + 1.25876i 0.951685 + 0.307077i \(0.0993509\pi\)
0.307077 + 0.951685i \(0.400649\pi\)
\(24\) −1.90961 2.61142i −0.389797 0.533053i
\(25\) −3.43019 + 3.63783i −0.686038 + 0.727566i
\(26\) 0.295450 + 1.38301i 0.0579425 + 0.271230i
\(27\) −3.79460 + 3.79460i −0.730271 + 0.730271i
\(28\) −2.03787 0.777475i −0.385122 0.146929i
\(29\) 7.85222i 1.45812i −0.684449 0.729060i \(-0.739957\pi\)
0.684449 0.729060i \(-0.260043\pi\)
\(30\) 2.09526 + 2.94830i 0.382540 + 0.538284i
\(31\) 5.45839i 0.980356i −0.871622 0.490178i \(-0.836932\pi\)
0.871622 0.490178i \(-0.163068\pi\)
\(32\) −1.49210 5.45652i −0.263768 0.964586i
\(33\) −0.708451 + 0.708451i −0.123325 + 0.123325i
\(34\) −9.60741 + 2.05242i −1.64766 + 0.351987i
\(35\) 2.26643 + 0.900026i 0.383096 + 0.152132i
\(36\) −3.08813 + 1.38252i −0.514689 + 0.230420i
\(37\) −2.21989 2.21989i −0.364947 0.364947i 0.500683 0.865631i \(-0.333082\pi\)
−0.865631 + 0.500683i \(0.833082\pi\)
\(38\) −5.30299 + 8.18426i −0.860259 + 1.32766i
\(39\) −1.14379 −0.183153
\(40\) 1.58543 + 6.12262i 0.250678 + 0.968071i
\(41\) −1.36683 −0.213463 −0.106732 0.994288i \(-0.534039\pi\)
−0.106732 + 0.994288i \(0.534039\pi\)
\(42\) 0.959266 1.48046i 0.148018 0.228440i
\(43\) −4.34174 4.34174i −0.662109 0.662109i 0.293768 0.955877i \(-0.405091\pi\)
−0.955877 + 0.293768i \(0.905091\pi\)
\(44\) −1.59897 + 0.715840i −0.241054 + 0.107917i
\(45\) 3.47326 1.49879i 0.517763 0.223427i
\(46\) −11.8072 + 2.52236i −1.74088 + 0.371901i
\(47\) 3.81120 3.81120i 0.555921 0.555921i −0.372222 0.928144i \(-0.621404\pi\)
0.928144 + 0.372222i \(0.121404\pi\)
\(48\) 4.56788 0.258185i 0.659317 0.0372657i
\(49\) 5.81065i 0.830093i
\(50\) −1.67967 6.86868i −0.237541 0.971377i
\(51\) 7.94564i 1.11261i
\(52\) −1.86863 0.712905i −0.259132 0.0988621i
\(53\) −2.18578 + 2.18578i −0.300240 + 0.300240i −0.841108 0.540867i \(-0.818096\pi\)
0.540867 + 0.841108i \(0.318096\pi\)
\(54\) −1.58550 7.42174i −0.215759 1.00997i
\(55\) 1.79838 0.776043i 0.242493 0.104642i
\(56\) 2.48991 1.82075i 0.332728 0.243308i
\(57\) −5.57720 5.57720i −0.738718 0.738718i
\(58\) 9.31940 + 6.03851i 1.22370 + 0.792895i
\(59\) −0.749270 −0.0975467 −0.0487733 0.998810i \(-0.515531\pi\)
−0.0487733 + 0.998810i \(0.515531\pi\)
\(60\) −5.11049 + 0.219453i −0.659761 + 0.0283313i
\(61\) −4.79700 −0.614193 −0.307097 0.951678i \(-0.599357\pi\)
−0.307097 + 0.951678i \(0.599357\pi\)
\(62\) 6.47828 + 4.19761i 0.822742 + 0.533096i
\(63\) −1.30459 1.30459i −0.164362 0.164362i
\(64\) 7.62352 + 2.42528i 0.952940 + 0.303160i
\(65\) 2.07820 + 0.825279i 0.257769 + 0.102363i
\(66\) −0.296011 1.38564i −0.0364365 0.170560i
\(67\) −10.0709 + 10.0709i −1.23035 + 1.23035i −0.266526 + 0.963828i \(0.585876\pi\)
−0.963828 + 0.266526i \(0.914124\pi\)
\(68\) 4.95237 12.9809i 0.600563 1.57416i
\(69\) 9.76494i 1.17556i
\(70\) −2.81112 + 1.99777i −0.335993 + 0.238779i
\(71\) 5.01480i 0.595148i −0.954699 0.297574i \(-0.903823\pi\)
0.954699 0.297574i \(-0.0961775\pi\)
\(72\) 0.733990 4.72833i 0.0865016 0.557239i
\(73\) 6.85076 6.85076i 0.801821 0.801821i −0.181559 0.983380i \(-0.558114\pi\)
0.983380 + 0.181559i \(0.0581144\pi\)
\(74\) 4.34181 0.927534i 0.504725 0.107824i
\(75\) 5.71650 0.167936i 0.660084 0.0193916i
\(76\) −5.63537 12.5877i −0.646421 1.44391i
\(77\) −0.675487 0.675487i −0.0769789 0.0769789i
\(78\) 0.879598 1.35751i 0.0995949 0.153708i
\(79\) −1.62958 −0.183342 −0.0916710 0.995789i \(-0.529221\pi\)
−0.0916710 + 0.995789i \(0.529221\pi\)
\(80\) −8.48584 2.82675i −0.948746 0.316040i
\(81\) 1.06280 0.118089
\(82\) 1.05112 1.62222i 0.116077 0.179144i
\(83\) −2.66989 2.66989i −0.293058 0.293058i 0.545229 0.838287i \(-0.316443\pi\)
−0.838287 + 0.545229i \(0.816443\pi\)
\(84\) 1.01939 + 2.27701i 0.111224 + 0.248442i
\(85\) −5.73301 + 14.4367i −0.621832 + 1.56588i
\(86\) 8.49186 1.81410i 0.915701 0.195620i
\(87\) −6.35074 + 6.35074i −0.680871 + 0.680871i
\(88\) 0.380044 2.44823i 0.0405129 0.260982i
\(89\) 3.68804i 0.390931i 0.980711 + 0.195466i \(0.0626218\pi\)
−0.980711 + 0.195466i \(0.937378\pi\)
\(90\) −0.892160 + 5.27483i −0.0940419 + 0.556016i
\(91\) 1.09057i 0.114323i
\(92\) 6.08631 15.9531i 0.634542 1.66323i
\(93\) −4.41465 + 4.41465i −0.457778 + 0.457778i
\(94\) 1.59243 + 7.45421i 0.164247 + 0.768843i
\(95\) 6.10932 + 14.1575i 0.626803 + 1.45253i
\(96\) −3.20636 + 5.61993i −0.327248 + 0.573582i
\(97\) 6.65520 + 6.65520i 0.675733 + 0.675733i 0.959032 0.283299i \(-0.0914288\pi\)
−0.283299 + 0.959032i \(0.591429\pi\)
\(98\) −6.89636 4.46850i −0.696638 0.451387i
\(99\) −1.48187 −0.148934
\(100\) 9.44378 + 3.28863i 0.944378 + 0.328863i
\(101\) −6.22911 −0.619820 −0.309910 0.950766i \(-0.600299\pi\)
−0.309910 + 0.950766i \(0.600299\pi\)
\(102\) 9.43027 + 6.11035i 0.933736 + 0.605015i
\(103\) −9.05772 9.05772i −0.892483 0.892483i 0.102273 0.994756i \(-0.467388\pi\)
−0.994756 + 0.102273i \(0.967388\pi\)
\(104\) 2.28312 1.66954i 0.223878 0.163712i
\(105\) −1.10512 2.56098i −0.107849 0.249926i
\(106\) −0.913284 4.27510i −0.0887060 0.415235i
\(107\) −6.98064 + 6.98064i −0.674844 + 0.674844i −0.958829 0.283985i \(-0.908344\pi\)
0.283985 + 0.958829i \(0.408344\pi\)
\(108\) 10.0278 + 3.82572i 0.964921 + 0.368130i
\(109\) 5.87444i 0.562670i 0.959610 + 0.281335i \(0.0907772\pi\)
−0.959610 + 0.281335i \(0.909223\pi\)
\(110\) −0.461941 + 2.73119i −0.0440444 + 0.260409i
\(111\) 3.59082i 0.340825i
\(112\) 0.246171 + 4.35534i 0.0232610 + 0.411541i
\(113\) 8.29477 8.29477i 0.780307 0.780307i −0.199576 0.979882i \(-0.563956\pi\)
0.979882 + 0.199576i \(0.0639564\pi\)
\(114\) 10.9083 2.33032i 1.02165 0.218254i
\(115\) −7.04568 + 17.7423i −0.657013 + 1.65448i
\(116\) −14.3336 + 6.41698i −1.33084 + 0.595802i
\(117\) −1.19624 1.19624i −0.110592 0.110592i
\(118\) 0.576203 0.889270i 0.0530438 0.0818640i
\(119\) 7.57593 0.694485
\(120\) 3.66960 6.23414i 0.334987 0.569096i
\(121\) 10.2327 0.930247
\(122\) 3.68899 5.69332i 0.333985 0.515449i
\(123\) 1.10547 + 1.10547i 0.0996768 + 0.0996768i
\(124\) −9.96384 + 4.46070i −0.894780 + 0.400582i
\(125\) −10.5077 3.81949i −0.939836 0.341625i
\(126\) 2.55160 0.545094i 0.227314 0.0485609i
\(127\) −8.46315 + 8.46315i −0.750983 + 0.750983i −0.974663 0.223680i \(-0.928193\pi\)
0.223680 + 0.974663i \(0.428193\pi\)
\(128\) −8.74107 + 7.18288i −0.772609 + 0.634883i
\(129\) 7.02305i 0.618345i
\(130\) −2.57766 + 1.83185i −0.226075 + 0.160664i
\(131\) 15.5022i 1.35443i 0.735785 + 0.677215i \(0.236813\pi\)
−0.735785 + 0.677215i \(0.763187\pi\)
\(132\) 1.87218 + 0.714260i 0.162952 + 0.0621683i
\(133\) 5.31770 5.31770i 0.461103 0.461103i
\(134\) −4.20791 19.6973i −0.363508 1.70159i
\(135\) −11.1524 4.42876i −0.959846 0.381167i
\(136\) 11.5979 + 15.8603i 0.994509 + 1.36001i
\(137\) −2.57473 2.57473i −0.219974 0.219974i 0.588513 0.808487i \(-0.299713\pi\)
−0.808487 + 0.588513i \(0.799713\pi\)
\(138\) 11.5895 + 7.50943i 0.986564 + 0.639245i
\(139\) 4.22654 0.358491 0.179245 0.983804i \(-0.442634\pi\)
0.179245 + 0.983804i \(0.442634\pi\)
\(140\) −0.209242 4.87270i −0.0176842 0.411818i
\(141\) −6.16488 −0.519176
\(142\) 5.95181 + 3.85648i 0.499465 + 0.323629i
\(143\) −0.619387 0.619387i −0.0517958 0.0517958i
\(144\) 5.04736 + 4.50731i 0.420613 + 0.375609i
\(145\) 16.1212 6.95667i 1.33879 0.577720i
\(146\) 2.86245 + 13.3992i 0.236898 + 1.10892i
\(147\) 4.69956 4.69956i 0.387613 0.387613i
\(148\) −2.23809 + 5.86636i −0.183970 + 0.482212i
\(149\) 1.00491i 0.0823258i 0.999152 + 0.0411629i \(0.0131063\pi\)
−0.999152 + 0.0411629i \(0.986894\pi\)
\(150\) −4.19678 + 6.91376i −0.342666 + 0.564506i
\(151\) 16.2847i 1.32523i −0.748960 0.662615i \(-0.769446\pi\)
0.748960 0.662615i \(-0.230554\pi\)
\(152\) 19.2734 + 2.99186i 1.56328 + 0.242672i
\(153\) 8.30998 8.30998i 0.671822 0.671822i
\(154\) 1.32116 0.282238i 0.106462 0.0227434i
\(155\) 11.2065 4.83585i 0.900124 0.388425i
\(156\) 0.934729 + 2.08790i 0.0748382 + 0.167166i
\(157\) −0.171561 0.171561i −0.0136920 0.0136920i 0.700228 0.713920i \(-0.253082\pi\)
−0.713920 + 0.700228i \(0.753082\pi\)
\(158\) 1.25318 1.93406i 0.0996975 0.153866i
\(159\) 3.53565 0.280395
\(160\) 9.88070 7.89758i 0.781138 0.624359i
\(161\) 9.31058 0.733777
\(162\) −0.817316 + 1.26139i −0.0642144 + 0.0991038i
\(163\) −8.52729 8.52729i −0.667909 0.667909i 0.289323 0.957232i \(-0.406570\pi\)
−0.957232 + 0.289323i \(0.906570\pi\)
\(164\) 1.11700 + 2.49504i 0.0872230 + 0.194830i
\(165\) −2.08215 0.826847i −0.162095 0.0643700i
\(166\) 5.22195 1.11556i 0.405302 0.0865841i
\(167\) −8.81617 + 8.81617i −0.682216 + 0.682216i −0.960499 0.278283i \(-0.910235\pi\)
0.278283 + 0.960499i \(0.410235\pi\)
\(168\) −3.48639 0.541201i −0.268981 0.0417546i
\(169\) 1.00000i 0.0769231i
\(170\) −12.7254 17.9063i −0.975996 1.37335i
\(171\) 11.6659i 0.892112i
\(172\) −4.37734 + 11.4736i −0.333769 + 0.874857i
\(173\) 0.914606 0.914606i 0.0695362 0.0695362i −0.671483 0.741020i \(-0.734343\pi\)
0.741020 + 0.671483i \(0.234343\pi\)
\(174\) −2.65353 12.4212i −0.201163 0.941650i
\(175\) 0.160122 + 5.45051i 0.0121041 + 0.412020i
\(176\) 2.61341 + 2.33379i 0.196993 + 0.175916i
\(177\) 0.605997 + 0.605997i 0.0455496 + 0.0455496i
\(178\) −4.37714 2.83617i −0.328081 0.212580i
\(179\) 4.85523 0.362897 0.181449 0.983400i \(-0.441921\pi\)
0.181449 + 0.983400i \(0.441921\pi\)
\(180\) −5.57434 5.11531i −0.415487 0.381272i
\(181\) −16.5488 −1.23006 −0.615031 0.788503i \(-0.710857\pi\)
−0.615031 + 0.788503i \(0.710857\pi\)
\(182\) 1.29434 + 0.838671i 0.0959432 + 0.0621664i
\(183\) 3.87974 + 3.87974i 0.286798 + 0.286798i
\(184\) 14.2534 + 19.4918i 1.05078 + 1.43695i
\(185\) 2.59088 6.52429i 0.190485 0.479676i
\(186\) −1.84457 8.63448i −0.135251 0.633111i
\(187\) 4.30273 4.30273i 0.314647 0.314647i
\(188\) −10.0716 3.84246i −0.734549 0.280240i
\(189\) 5.85242i 0.425701i
\(190\) −21.5010 3.63658i −1.55985 0.263825i
\(191\) 19.6388i 1.42102i 0.703690 + 0.710508i \(0.251535\pi\)
−0.703690 + 0.710508i \(0.748465\pi\)
\(192\) −4.20425 8.12730i −0.303416 0.586537i
\(193\) −13.0800 + 13.0800i −0.941517 + 0.941517i −0.998382 0.0568651i \(-0.981890\pi\)
0.0568651 + 0.998382i \(0.481890\pi\)
\(194\) −13.0167 + 2.78074i −0.934544 + 0.199645i
\(195\) −1.01334 2.34829i −0.0725669 0.168164i
\(196\) 10.6069 4.74857i 0.757634 0.339184i
\(197\) −0.774201 0.774201i −0.0551596 0.0551596i 0.678989 0.734149i \(-0.262418\pi\)
−0.734149 + 0.678989i \(0.762418\pi\)
\(198\) 1.13959 1.75876i 0.0809870 0.124989i
\(199\) −3.72024 −0.263721 −0.131860 0.991268i \(-0.542095\pi\)
−0.131860 + 0.991268i \(0.542095\pi\)
\(200\) −11.1656 + 8.67931i −0.789524 + 0.613720i
\(201\) 16.2903 1.14903
\(202\) 4.79031 7.39301i 0.337045 0.520171i
\(203\) −6.05525 6.05525i −0.424995 0.424995i
\(204\) −14.5041 + 6.49333i −1.01549 + 0.454624i
\(205\) −1.21094 2.80620i −0.0845758 0.195993i
\(206\) 17.7157 3.78458i 1.23431 0.263684i
\(207\) 10.2127 10.2127i 0.709832 0.709832i
\(208\) 0.225727 + 3.99363i 0.0156513 + 0.276908i
\(209\) 6.04034i 0.417819i
\(210\) 3.88935 + 0.657826i 0.268391 + 0.0453943i
\(211\) 10.1014i 0.695411i −0.937604 0.347706i \(-0.886961\pi\)
0.937604 0.347706i \(-0.113039\pi\)
\(212\) 5.77623 + 2.20371i 0.396713 + 0.151351i
\(213\) −4.05589 + 4.05589i −0.277905 + 0.277905i
\(214\) −2.91672 13.6532i −0.199383 0.933314i
\(215\) 5.06733 12.7604i 0.345589 0.870255i
\(216\) −12.2521 + 8.95937i −0.833648 + 0.609608i
\(217\) −4.20924 4.20924i −0.285742 0.285742i
\(218\) −6.97208 4.51756i −0.472209 0.305968i
\(219\) −11.0816 −0.748822
\(220\) −2.88627 2.64860i −0.194592 0.178568i
\(221\) 6.94675 0.467289
\(222\) −4.26176 2.76141i −0.286030 0.185334i
\(223\) −10.9738 10.9738i −0.734860 0.734860i 0.236718 0.971578i \(-0.423928\pi\)
−0.971578 + 0.236718i \(0.923928\pi\)
\(224\) −5.35844 3.05717i −0.358026 0.204266i
\(225\) 6.15426 + 5.80298i 0.410284 + 0.386866i
\(226\) 3.46580 + 16.2235i 0.230541 + 1.07917i
\(227\) 5.10770 5.10770i 0.339010 0.339010i −0.516985 0.855995i \(-0.672946\pi\)
0.855995 + 0.516985i \(0.172946\pi\)
\(228\) −5.62293 + 14.7385i −0.372388 + 0.976082i
\(229\) 1.18140i 0.0780689i −0.999238 0.0390345i \(-0.987572\pi\)
0.999238 0.0390345i \(-0.0124282\pi\)
\(230\) −15.6391 22.0063i −1.03121 1.45105i
\(231\) 1.09265i 0.0718908i
\(232\) 3.40682 21.9466i 0.223669 1.44086i
\(233\) −12.0874 + 12.0874i −0.791870 + 0.791870i −0.981798 0.189928i \(-0.939175\pi\)
0.189928 + 0.981798i \(0.439175\pi\)
\(234\) 2.33969 0.499824i 0.152950 0.0326745i
\(235\) 11.2012 + 4.44814i 0.730686 + 0.290164i
\(236\) 0.612318 + 1.36773i 0.0398585 + 0.0890318i
\(237\) 1.31798 + 1.31798i 0.0856118 + 0.0856118i
\(238\) −5.82604 + 8.99149i −0.377646 + 0.582831i
\(239\) 19.0528 1.23242 0.616211 0.787581i \(-0.288667\pi\)
0.616211 + 0.787581i \(0.288667\pi\)
\(240\) 4.57698 + 9.14943i 0.295443 + 0.590593i
\(241\) −0.866695 −0.0558287 −0.0279144 0.999610i \(-0.508887\pi\)
−0.0279144 + 0.999610i \(0.508887\pi\)
\(242\) −7.86916 + 12.1447i −0.505849 + 0.780690i
\(243\) 10.5242 + 10.5242i 0.675129 + 0.675129i
\(244\) 3.92020 + 8.75654i 0.250965 + 0.560580i
\(245\) −11.9297 + 5.14794i −0.762159 + 0.328890i
\(246\) −2.16215 + 0.461898i −0.137854 + 0.0294495i
\(247\) 4.87606 4.87606i 0.310256 0.310256i
\(248\) 2.36822 15.2559i 0.150382 0.968753i
\(249\) 4.31872i 0.273688i
\(250\) 12.6138 9.53378i 0.797765 0.602969i
\(251\) 11.9952i 0.757128i 0.925575 + 0.378564i \(0.123582\pi\)
−0.925575 + 0.378564i \(0.876418\pi\)
\(252\) −1.31528 + 3.44755i −0.0828551 + 0.217175i
\(253\) 5.28792 5.28792i 0.332449 0.332449i
\(254\) −3.53615 16.5528i −0.221878 1.03861i
\(255\) 16.3130 7.03943i 1.02156 0.440826i
\(256\) −1.80294 15.8981i −0.112684 0.993631i
\(257\) −9.55086 9.55086i −0.595766 0.595766i 0.343417 0.939183i \(-0.388416\pi\)
−0.939183 + 0.343417i \(0.888416\pi\)
\(258\) −8.33530 5.40086i −0.518933 0.336243i
\(259\) −3.42374 −0.212741
\(260\) −0.191864 4.46802i −0.0118989 0.277095i
\(261\) −13.2839 −0.822253
\(262\) −18.3987 11.9215i −1.13668 0.736510i
\(263\) 8.00268 + 8.00268i 0.493467 + 0.493467i 0.909397 0.415930i \(-0.136544\pi\)
−0.415930 + 0.909397i \(0.636544\pi\)
\(264\) −2.28746 + 1.67271i −0.140783 + 0.102948i
\(265\) −6.42406 2.55107i −0.394627 0.156711i
\(266\) 2.22189 + 10.4007i 0.136233 + 0.637708i
\(267\) 2.98282 2.98282i 0.182546 0.182546i
\(268\) 26.6137 + 10.1535i 1.62569 + 0.620221i
\(269\) 7.28829i 0.444375i 0.975004 + 0.222188i \(0.0713197\pi\)
−0.975004 + 0.222188i \(0.928680\pi\)
\(270\) 13.8327 9.83041i 0.841830 0.598260i
\(271\) 4.92513i 0.299181i 0.988748 + 0.149590i \(0.0477955\pi\)
−0.988748 + 0.149590i \(0.952205\pi\)
\(272\) −27.7427 + 1.56807i −1.68215 + 0.0950781i
\(273\) −0.882037 + 0.882037i −0.0533833 + 0.0533833i
\(274\) 5.03583 1.07580i 0.304226 0.0649913i
\(275\) 3.18654 + 3.00466i 0.192156 + 0.181188i
\(276\) −17.8251 + 7.98009i −1.07295 + 0.480345i
\(277\) −13.6222 13.6222i −0.818482 0.818482i 0.167406 0.985888i \(-0.446461\pi\)
−0.985888 + 0.167406i \(0.946461\pi\)
\(278\) −3.25029 + 5.01627i −0.194940 + 0.300856i
\(279\) −9.23417 −0.552835
\(280\) 5.94406 + 3.49886i 0.355226 + 0.209097i
\(281\) 11.2668 0.672120 0.336060 0.941841i \(-0.390905\pi\)
0.336060 + 0.941841i \(0.390905\pi\)
\(282\) 4.74091 7.31678i 0.282317 0.435708i
\(283\) −11.8154 11.8154i −0.702350 0.702350i 0.262565 0.964914i \(-0.415432\pi\)
−0.964914 + 0.262565i \(0.915432\pi\)
\(284\) −9.15412 + 4.09819i −0.543197 + 0.243183i
\(285\) 6.50926 16.3915i 0.385576 0.970948i
\(286\) 1.21144 0.258798i 0.0716339 0.0153031i
\(287\) −1.05403 + 1.05403i −0.0622176 + 0.0622176i
\(288\) −9.23101 + 2.52424i −0.543943 + 0.148742i
\(289\) 31.2573i 1.83867i
\(290\) −4.14097 + 24.4832i −0.243166 + 1.43770i
\(291\) 10.7652i 0.631069i
\(292\) −18.1041 6.90693i −1.05946 0.404198i
\(293\) −7.28832 + 7.28832i −0.425788 + 0.425788i −0.887191 0.461403i \(-0.847346\pi\)
0.461403 + 0.887191i \(0.347346\pi\)
\(294\) 1.96361 + 9.19172i 0.114520 + 0.536072i
\(295\) −0.663815 1.53830i −0.0386488 0.0895635i
\(296\) −5.24135 7.16762i −0.304647 0.416609i
\(297\) 3.32387 + 3.32387i 0.192870 + 0.192870i
\(298\) −1.19268 0.772798i −0.0690901 0.0447670i
\(299\) 8.53734 0.493727
\(300\) −4.97818 10.2978i −0.287415 0.594541i
\(301\) −6.69627 −0.385967
\(302\) 19.3275 + 12.5233i 1.11217 + 0.720632i
\(303\) 5.03800 + 5.03800i 0.289426 + 0.289426i
\(304\) −18.3725 + 20.5738i −1.05373 + 1.17999i
\(305\) −4.24990 9.84858i −0.243349 0.563928i
\(306\) 3.47215 + 16.2532i 0.198490 + 0.929135i
\(307\) 16.3497 16.3497i 0.933128 0.933128i −0.0647718 0.997900i \(-0.520632\pi\)
0.997900 + 0.0647718i \(0.0206319\pi\)
\(308\) −0.681026 + 1.78507i −0.0388050 + 0.101714i
\(309\) 14.6515i 0.833493i
\(310\) −2.87855 + 17.0192i −0.163491 + 0.966627i
\(311\) 21.7219i 1.23174i −0.787850 0.615868i \(-0.788806\pi\)
0.787850 0.615868i \(-0.211194\pi\)
\(312\) −3.19685 0.496254i −0.180986 0.0280949i
\(313\) −1.17273 + 1.17273i −0.0662866 + 0.0662866i −0.739473 0.673186i \(-0.764925\pi\)
0.673186 + 0.739473i \(0.264925\pi\)
\(314\) 0.335550 0.0716830i 0.0189362 0.00404531i
\(315\) 1.52261 3.83420i 0.0857893 0.216033i
\(316\) 1.33172 + 2.97467i 0.0749153 + 0.167338i
\(317\) 6.45087 + 6.45087i 0.362317 + 0.362317i 0.864665 0.502348i \(-0.167530\pi\)
−0.502348 + 0.864665i \(0.667530\pi\)
\(318\) −2.71898 + 4.19628i −0.152473 + 0.235316i
\(319\) −6.87812 −0.385101
\(320\) 1.77479 + 17.8003i 0.0992136 + 0.995066i
\(321\) 11.2917 0.630239
\(322\) −7.16002 + 11.0503i −0.399012 + 0.615807i
\(323\) 33.8728 + 33.8728i 1.88473 + 1.88473i
\(324\) −0.868542 1.94006i −0.0482523 0.107781i
\(325\) 0.146824 + 4.99784i 0.00814433 + 0.277230i
\(326\) 16.6783 3.56295i 0.923723 0.197334i
\(327\) 4.75115 4.75115i 0.262739 0.262739i
\(328\) −3.82023 0.593023i −0.210937 0.0327442i
\(329\) 5.87803i 0.324066i
\(330\) 2.58256 1.83533i 0.142165 0.101032i
\(331\) 32.7431i 1.79973i −0.436173 0.899863i \(-0.643666\pi\)
0.436173 0.899863i \(-0.356334\pi\)
\(332\) −2.69178 + 7.05555i −0.147731 + 0.387224i
\(333\) −3.75547 + 3.75547i −0.205799 + 0.205799i
\(334\) −3.68365 17.2433i −0.201561 0.943510i
\(335\) −29.5985 11.7539i −1.61714 0.642186i
\(336\) 3.32343 3.72162i 0.181308 0.203031i
\(337\) 17.0557 + 17.0557i 0.929083 + 0.929083i 0.997647 0.0685633i \(-0.0218415\pi\)
−0.0685633 + 0.997647i \(0.521842\pi\)
\(338\) 1.18685 + 0.769019i 0.0645560 + 0.0418291i
\(339\) −13.4173 −0.728730
\(340\) 31.0382 1.33283i 1.68328 0.0722831i
\(341\) −4.78125 −0.258919
\(342\) 13.8456 + 8.97128i 0.748686 + 0.485111i
\(343\) 9.87895 + 9.87895i 0.533413 + 0.533413i
\(344\) −10.2512 14.0187i −0.552708 0.755837i
\(345\) 20.0481 8.65124i 1.07935 0.465767i
\(346\) 0.382149 + 1.78885i 0.0205445 + 0.0961690i
\(347\) −12.2761 + 12.2761i −0.659016 + 0.659016i −0.955147 0.296131i \(-0.904303\pi\)
0.296131 + 0.955147i \(0.404303\pi\)
\(348\) 16.7827 + 6.40282i 0.899648 + 0.343227i
\(349\) 30.2444i 1.61895i −0.587156 0.809474i \(-0.699752\pi\)
0.587156 0.809474i \(-0.300248\pi\)
\(350\) −6.59207 4.00151i −0.352361 0.213890i
\(351\) 5.36638i 0.286436i
\(352\) −4.77962 + 1.30700i −0.254755 + 0.0696632i
\(353\) −15.7099 + 15.7099i −0.836152 + 0.836152i −0.988350 0.152198i \(-0.951365\pi\)
0.152198 + 0.988350i \(0.451365\pi\)
\(354\) −1.18525 + 0.253203i −0.0629954 + 0.0134576i
\(355\) 10.2957 4.44286i 0.546441 0.235803i
\(356\) 6.73221 3.01393i 0.356807 0.159738i
\(357\) −6.12729 6.12729i −0.324291 0.324291i
\(358\) −3.73377 + 5.76243i −0.197336 + 0.304554i
\(359\) −35.6895 −1.88362 −0.941809 0.336149i \(-0.890875\pi\)
−0.941809 + 0.336149i \(0.890875\pi\)
\(360\) 10.3579 2.68213i 0.545908 0.141360i
\(361\) 28.5519 1.50273
\(362\) 12.7263 19.6409i 0.668882 1.03230i
\(363\) −8.27605 8.27605i −0.434380 0.434380i
\(364\) −1.99075 + 0.891236i −0.104344 + 0.0467135i
\(365\) 20.1345 + 7.99566i 1.05389 + 0.418512i
\(366\) −7.58825 + 1.62107i −0.396644 + 0.0847345i
\(367\) 4.41082 4.41082i 0.230243 0.230243i −0.582551 0.812794i \(-0.697945\pi\)
0.812794 + 0.582551i \(0.197945\pi\)
\(368\) −34.0949 + 1.92711i −1.77732 + 0.100457i
\(369\) 2.31232i 0.120375i
\(370\) 5.75091 + 8.09229i 0.298976 + 0.420698i
\(371\) 3.37114i 0.175021i
\(372\) 11.6663 + 4.45085i 0.604871 + 0.230766i
\(373\) 16.1225 16.1225i 0.834792 0.834792i −0.153376 0.988168i \(-0.549015\pi\)
0.988168 + 0.153376i \(0.0490145\pi\)
\(374\) 1.79781 + 8.41557i 0.0929624 + 0.435159i
\(375\) 5.40931 + 11.5876i 0.279335 + 0.598380i
\(376\) 12.3057 8.99858i 0.634618 0.464066i
\(377\) −5.55236 5.55236i −0.285961 0.285961i
\(378\) −6.94594 4.50062i −0.357260 0.231487i
\(379\) 33.3029 1.71066 0.855328 0.518086i \(-0.173355\pi\)
0.855328 + 0.518086i \(0.173355\pi\)
\(380\) 20.8508 22.7219i 1.06962 1.16561i
\(381\) 13.6897 0.701345
\(382\) −23.3083 15.1026i −1.19256 0.772718i
\(383\) −1.90891 1.90891i −0.0975409 0.0975409i 0.656652 0.754193i \(-0.271972\pi\)
−0.754193 + 0.656652i \(0.771972\pi\)
\(384\) 12.8790 + 1.26024i 0.657230 + 0.0643113i
\(385\) 0.788375 1.98527i 0.0401793 0.101179i
\(386\) −5.46519 25.5827i −0.278171 1.30212i
\(387\) −7.34509 + 7.34509i −0.373372 + 0.373372i
\(388\) 6.70977 17.5873i 0.340637 0.892859i
\(389\) 2.08615i 0.105772i −0.998601 0.0528859i \(-0.983158\pi\)
0.998601 0.0528859i \(-0.0168420\pi\)
\(390\) 3.56634 + 0.603194i 0.180589 + 0.0305439i
\(391\) 59.3067i 2.99927i
\(392\) −2.52105 + 16.2405i −0.127332 + 0.820269i
\(393\) 12.5379 12.5379i 0.632453 0.632453i
\(394\) 1.51424 0.323484i 0.0762861 0.0162969i
\(395\) −1.44372 3.34564i −0.0726417 0.168337i
\(396\) 1.21101 + 2.70504i 0.0608557 + 0.135933i
\(397\) −23.2416 23.2416i −1.16646 1.16646i −0.983033 0.183431i \(-0.941280\pi\)
−0.183431 0.983033i \(-0.558720\pi\)
\(398\) 2.86094 4.41536i 0.143406 0.221322i
\(399\) −8.60173 −0.430625
\(400\) −1.71451 19.9264i −0.0857254 0.996319i
\(401\) 16.0373 0.800865 0.400432 0.916326i \(-0.368860\pi\)
0.400432 + 0.916326i \(0.368860\pi\)
\(402\) −12.5276 + 19.3341i −0.624818 + 0.964299i
\(403\) −3.85966 3.85966i −0.192264 0.192264i
\(404\) 5.09055 + 11.3707i 0.253264 + 0.565715i
\(405\) 0.941589 + 2.18201i 0.0467879 + 0.108425i
\(406\) 11.8433 2.53006i 0.587771 0.125565i
\(407\) −1.94450 + 1.94450i −0.0963854 + 0.0963854i
\(408\) 3.44735 22.2077i 0.170669 1.09944i
\(409\) 38.6612i 1.91167i −0.293898 0.955837i \(-0.594953\pi\)
0.293898 0.955837i \(-0.405047\pi\)
\(410\) 4.26177 + 0.720816i 0.210474 + 0.0355985i
\(411\) 4.16480i 0.205434i
\(412\) −9.13199 + 23.9363i −0.449901 + 1.17925i
\(413\) −0.577801 + 0.577801i −0.0284317 + 0.0284317i
\(414\) 4.26717 + 19.9747i 0.209720 + 0.981703i
\(415\) 3.11608 7.84685i 0.152962 0.385187i
\(416\) −4.91342 2.80327i −0.240900 0.137442i
\(417\) −3.41836 3.41836i −0.167398 0.167398i
\(418\) 7.16897 + 4.64514i 0.350646 + 0.227201i
\(419\) 15.9101 0.777261 0.388630 0.921394i \(-0.372948\pi\)
0.388630 + 0.921394i \(0.372948\pi\)
\(420\) −3.77173 + 4.11019i −0.184041 + 0.200557i
\(421\) 3.52390 0.171744 0.0858721 0.996306i \(-0.472632\pi\)
0.0858721 + 0.996306i \(0.472632\pi\)
\(422\) 11.9889 + 7.76819i 0.583609 + 0.378150i
\(423\) −6.44756 6.44756i −0.313491 0.313491i
\(424\) −7.05750 + 5.16082i −0.342743 + 0.250632i
\(425\) −34.7188 + 1.01995i −1.68411 + 0.0494748i
\(426\) −1.69467 7.93279i −0.0821070 0.384345i
\(427\) −3.69921 + 3.69921i −0.179018 + 0.179018i
\(428\) 18.4473 + 7.03788i 0.891684 + 0.340189i
\(429\) 1.00190i 0.0483722i
\(430\) 11.2478 + 15.8272i 0.542419 + 0.763255i
\(431\) 34.0034i 1.63788i 0.573876 + 0.818942i \(0.305439\pi\)
−0.573876 + 0.818942i \(0.694561\pi\)
\(432\) −1.21134 21.4313i −0.0582804 1.03111i
\(433\) −20.4386 + 20.4386i −0.982216 + 0.982216i −0.999845 0.0176285i \(-0.994388\pi\)
0.0176285 + 0.999845i \(0.494388\pi\)
\(434\) 8.23272 1.75874i 0.395183 0.0844224i
\(435\) −18.6650 7.41209i −0.894916 0.355382i
\(436\) 10.7233 4.80071i 0.513554 0.229912i
\(437\) 41.6286 + 41.6286i 1.99136 + 1.99136i
\(438\) 8.52193 13.1521i 0.407194 0.628433i
\(439\) 4.50397 0.214963 0.107481 0.994207i \(-0.465721\pi\)
0.107481 + 0.994207i \(0.465721\pi\)
\(440\) 5.36308 1.38875i 0.255675 0.0662059i
\(441\) 9.83011 0.468100
\(442\) −5.34218 + 8.24474i −0.254102 + 0.392162i
\(443\) −16.9086 16.9086i −0.803352 0.803352i 0.180266 0.983618i \(-0.442304\pi\)
−0.983618 + 0.180266i \(0.942304\pi\)
\(444\) 6.55475 2.93448i 0.311074 0.139264i
\(445\) −7.57180 + 3.26741i −0.358938 + 0.154890i
\(446\) 21.4633 4.58517i 1.01632 0.217114i
\(447\) 0.812758 0.812758i 0.0384421 0.0384421i
\(448\) 7.74914 4.00863i 0.366112 0.189390i
\(449\) 15.2463i 0.719516i −0.933046 0.359758i \(-0.882859\pi\)
0.933046 0.359758i \(-0.117141\pi\)
\(450\) −11.6200 + 2.84156i −0.547772 + 0.133953i
\(451\) 1.19727i 0.0563772i
\(452\) −21.9201 8.36279i −1.03103 0.393353i
\(453\) −13.1708 + 13.1708i −0.618818 + 0.618818i
\(454\) 2.13415 + 9.98999i 0.100160 + 0.468853i
\(455\) 2.23902 0.966191i 0.104967 0.0452958i
\(456\) −13.1682 18.0078i −0.616659 0.843291i
\(457\) 7.44322 + 7.44322i 0.348179 + 0.348179i 0.859431 0.511252i \(-0.170818\pi\)
−0.511252 + 0.859431i \(0.670818\pi\)
\(458\) 1.40214 + 0.908517i 0.0655177 + 0.0424522i
\(459\) −37.2789 −1.74003
\(460\) 38.1450 1.63801i 1.77852 0.0763727i
\(461\) −21.5904 −1.00556 −0.502782 0.864413i \(-0.667690\pi\)
−0.502782 + 0.864413i \(0.667690\pi\)
\(462\) −1.29680 0.840265i −0.0603328 0.0390927i
\(463\) 5.31937 + 5.31937i 0.247212 + 0.247212i 0.819825 0.572614i \(-0.194070\pi\)
−0.572614 + 0.819825i \(0.694070\pi\)
\(464\) 23.4274 + 20.9207i 1.08759 + 0.971220i
\(465\) −12.9747 5.15243i −0.601690 0.238938i
\(466\) −5.05046 23.6413i −0.233958 1.09516i
\(467\) −12.0139 + 12.0139i −0.555939 + 0.555939i −0.928149 0.372210i \(-0.878600\pi\)
0.372210 + 0.928149i \(0.378600\pi\)
\(468\) −1.20605 + 3.16123i −0.0557496 + 0.146128i
\(469\) 15.5323i 0.717217i
\(470\) −13.8932 + 9.87343i −0.640846 + 0.455427i
\(471\) 0.277511i 0.0127870i
\(472\) −2.09417 0.325084i −0.0963922 0.0149632i
\(473\) −3.80313 + 3.80313i −0.174868 + 0.174868i
\(474\) −2.57779 + 0.550689i −0.118402 + 0.0252940i
\(475\) −23.6539 + 25.0857i −1.08531 + 1.15101i
\(476\) −6.19120 13.8293i −0.283773 0.633863i
\(477\) 3.69777 + 3.69777i 0.169309 + 0.169309i
\(478\) −14.6520 + 22.6128i −0.670165 + 1.03428i
\(479\) −6.77238 −0.309438 −0.154719 0.987959i \(-0.549447\pi\)
−0.154719 + 0.987959i \(0.549447\pi\)
\(480\) −14.3788 1.60391i −0.656298 0.0732082i
\(481\) −3.13940 −0.143144
\(482\) 0.666505 1.02864i 0.0303585 0.0468531i
\(483\) −7.53025 7.53025i −0.342638 0.342638i
\(484\) −8.36237 18.6790i −0.380108 0.849045i
\(485\) −7.76742 + 19.5598i −0.352700 + 0.888163i
\(486\) −20.5840 + 4.39733i −0.933709 + 0.199467i
\(487\) 5.85296 5.85296i 0.265223 0.265223i −0.561949 0.827172i \(-0.689948\pi\)
0.827172 + 0.561949i \(0.189948\pi\)
\(488\) −13.4074 2.08126i −0.606924 0.0942143i
\(489\) 13.7935i 0.623762i
\(490\) 3.06432 18.1176i 0.138432 0.818469i
\(491\) 30.1005i 1.35842i 0.733945 + 0.679209i \(0.237677\pi\)
−0.733945 + 0.679209i \(0.762323\pi\)
\(492\) 1.11453 2.92136i 0.0502471 0.131705i
\(493\) 38.5708 38.5708i 1.73714 1.73714i
\(494\) 2.03736 + 9.53693i 0.0916652 + 0.429087i
\(495\) −1.31286 3.04239i −0.0590088 0.136745i
\(496\) 16.2853 + 14.5428i 0.731231 + 0.652992i
\(497\) −3.86717 3.86717i −0.173466 0.173466i
\(498\) −5.12567 3.32118i −0.229687 0.148826i
\(499\) −4.19308 −0.187708 −0.0938541 0.995586i \(-0.529919\pi\)
−0.0938541 + 0.995586i \(0.529919\pi\)
\(500\) 1.61492 + 22.3023i 0.0722214 + 0.997389i
\(501\) 14.2607 0.637123
\(502\) −14.2364 9.22451i −0.635404 0.411710i
\(503\) 6.34559 + 6.34559i 0.282936 + 0.282936i 0.834279 0.551343i \(-0.185884\pi\)
−0.551343 + 0.834279i \(0.685884\pi\)
\(504\) −3.08024 4.21227i −0.137205 0.187630i
\(505\) −5.51867 12.7888i −0.245578 0.569094i
\(506\) 2.20945 + 10.3425i 0.0982219 + 0.459779i
\(507\) −0.808783 + 0.808783i −0.0359193 + 0.0359193i
\(508\) 22.3650 + 8.53254i 0.992288 + 0.378570i
\(509\) 40.6251i 1.80068i −0.435190 0.900338i \(-0.643319\pi\)
0.435190 0.900338i \(-0.356681\pi\)
\(510\) −4.19024 + 24.7745i −0.185547 + 1.09703i
\(511\) 10.5659i 0.467410i
\(512\) 20.2551 + 10.0861i 0.895158 + 0.445748i
\(513\) −26.1668 + 26.1668i −1.15529 + 1.15529i
\(514\) 18.6802 3.99063i 0.823949 0.176019i
\(515\) 10.5714 26.6208i 0.465834 1.17305i
\(516\) 12.8200 5.73937i 0.564369 0.252662i
\(517\) −3.33841 3.33841i −0.146823 0.146823i
\(518\) 2.63292 4.06346i 0.115684 0.178538i
\(519\) −1.47944 −0.0649400
\(520\) 5.45041 + 3.20828i 0.239016 + 0.140692i
\(521\) −37.7559 −1.65412 −0.827058 0.562116i \(-0.809987\pi\)
−0.827058 + 0.562116i \(0.809987\pi\)
\(522\) 10.2156 15.7660i 0.447124 0.690058i
\(523\) 4.86113 + 4.86113i 0.212563 + 0.212563i 0.805355 0.592793i \(-0.201975\pi\)
−0.592793 + 0.805355i \(0.701975\pi\)
\(524\) 28.2979 12.6687i 1.23620 0.553433i
\(525\) 4.27878 4.53779i 0.186741 0.198045i
\(526\) −15.6522 + 3.34376i −0.682468 + 0.145795i
\(527\) 26.8121 26.8121i 1.16795 1.16795i
\(528\) −0.226156 4.00122i −0.00984217 0.174131i
\(529\) 49.8861i 2.16896i
\(530\) 7.96796 5.66256i 0.346106 0.245966i
\(531\) 1.26757i 0.0550078i
\(532\) −14.0527 5.36130i −0.609264 0.232442i
\(533\) −0.966495 + 0.966495i −0.0418635 + 0.0418635i
\(534\) 1.24631 + 5.83401i 0.0539331 + 0.252462i
\(535\) −20.5162 8.14725i −0.886994 0.352236i
\(536\) −32.5170 + 23.7782i −1.40452 + 1.02706i
\(537\) −3.92683 3.92683i −0.169455 0.169455i
\(538\) −8.65010 5.60484i −0.372932 0.241642i
\(539\) 5.08982 0.219234
\(540\) 1.02962 + 23.9771i 0.0443076 + 1.03181i
\(541\) −38.2350 −1.64385 −0.821925 0.569596i \(-0.807100\pi\)
−0.821925 + 0.569596i \(0.807100\pi\)
\(542\) −5.84539 3.78752i −0.251081 0.162688i
\(543\) 13.3844 + 13.3844i 0.574379 + 0.574379i
\(544\) 19.4736 34.1323i 0.834925 1.46341i
\(545\) −12.0606 + 5.20446i −0.516621 + 0.222934i
\(546\) −0.368541 1.72515i −0.0157721 0.0738295i
\(547\) −7.89796 + 7.89796i −0.337692 + 0.337692i −0.855498 0.517806i \(-0.826749\pi\)
0.517806 + 0.855498i \(0.326749\pi\)
\(548\) −2.59584 + 6.80408i −0.110889 + 0.290656i
\(549\) 8.11528i 0.346352i
\(550\) −6.01659 + 1.47130i −0.256548 + 0.0627365i
\(551\) 54.1472i 2.30675i
\(552\) 4.23669 27.2925i 0.180325 1.16165i
\(553\) −1.25665 + 1.25665i −0.0534383 + 0.0534383i
\(554\) 26.6433 5.69177i 1.13197 0.241820i
\(555\) −7.37220 + 3.18128i −0.312932 + 0.135038i
\(556\) −3.45401 7.71521i −0.146483 0.327198i
\(557\) 7.49825 + 7.49825i 0.317711 + 0.317711i 0.847887 0.530176i \(-0.177874\pi\)
−0.530176 + 0.847887i \(0.677874\pi\)
\(558\) 7.10125 10.9596i 0.300620 0.463955i
\(559\) −6.14014 −0.259700
\(560\) −8.72372 + 4.36401i −0.368644 + 0.184413i
\(561\) −6.95995 −0.293849
\(562\) −8.66438 + 13.3720i −0.365485 + 0.564062i
\(563\) 1.24248 + 1.24248i 0.0523644 + 0.0523644i 0.732804 0.680440i \(-0.238211\pi\)
−0.680440 + 0.732804i \(0.738211\pi\)
\(564\) 5.03805 + 11.2535i 0.212140 + 0.473857i
\(565\) 24.3785 + 9.68100i 1.02561 + 0.407283i
\(566\) 23.1093 4.93680i 0.971355 0.207509i
\(567\) 0.819581 0.819581i 0.0344192 0.0344192i
\(568\) 2.17576 14.0161i 0.0912928 0.588104i
\(569\) 22.3401i 0.936548i −0.883583 0.468274i \(-0.844876\pi\)
0.883583 0.468274i \(-0.155124\pi\)
\(570\) 14.4485 + 20.3309i 0.605180 + 0.851567i
\(571\) 40.7031i 1.70337i 0.524052 + 0.851686i \(0.324420\pi\)
−0.524052 + 0.851686i \(0.675580\pi\)
\(572\) −0.624466 + 1.63682i −0.0261103 + 0.0684387i
\(573\) 15.8836 15.8836i 0.663545 0.663545i
\(574\) −0.440406 2.06155i −0.0183822 0.0860474i
\(575\) −42.6683 + 1.25349i −1.77939 + 0.0522740i
\(576\) 4.10293 12.8970i 0.170956 0.537375i
\(577\) −5.55759 5.55759i −0.231366 0.231366i 0.581897 0.813263i \(-0.302311\pi\)
−0.813263 + 0.581897i \(0.802311\pi\)
\(578\) −37.0977 24.0375i −1.54306 0.999828i
\(579\) 21.1577 0.879285
\(580\) −25.8733 23.7427i −1.07433 0.985864i
\(581\) −4.11778 −0.170834
\(582\) 12.7767 + 8.27867i 0.529611 + 0.343162i
\(583\) 1.91463 + 1.91463i 0.0792958 + 0.0792958i
\(584\) 22.1199 16.1752i 0.915327 0.669336i
\(585\) 1.39616 3.51577i 0.0577240 0.145359i
\(586\) −3.04527 14.2550i −0.125799 0.588868i
\(587\) 5.52984 5.52984i 0.228241 0.228241i −0.583717 0.811957i \(-0.698402\pi\)
0.811957 + 0.583717i \(0.198402\pi\)
\(588\) −12.4192 4.73809i −0.512160 0.195396i
\(589\) 37.6399i 1.55092i
\(590\) 2.33622 + 0.395137i 0.0961807 + 0.0162675i
\(591\) 1.25232i 0.0515137i
\(592\) 12.5376 0.708646i 0.515291 0.0291252i
\(593\) 25.9213 25.9213i 1.06446 1.06446i 0.0666872 0.997774i \(-0.478757\pi\)
0.997774 0.0666872i \(-0.0212429\pi\)
\(594\) −6.50104 + 1.38881i −0.266741 + 0.0569835i
\(595\) 6.71189 + 15.5539i 0.275161 + 0.637649i
\(596\) 1.83439 0.821235i 0.0751395 0.0336391i
\(597\) 3.00887 + 3.00887i 0.123145 + 0.123145i
\(598\) −6.56538 + 10.1325i −0.268478 + 0.414350i
\(599\) 12.5925 0.514515 0.257257 0.966343i \(-0.417181\pi\)
0.257257 + 0.966343i \(0.417181\pi\)
\(600\) 16.0502 + 2.01083i 0.655247 + 0.0820917i
\(601\) −8.34802 −0.340523 −0.170261 0.985399i \(-0.554461\pi\)
−0.170261 + 0.985399i \(0.554461\pi\)
\(602\) 5.14956 7.94746i 0.209880 0.323914i
\(603\) 17.0373 + 17.0373i 0.693812 + 0.693812i
\(604\) −29.7264 + 13.3082i −1.20955 + 0.541502i
\(605\) 9.06567 + 21.0085i 0.368572 + 0.854116i
\(606\) −9.85367 + 2.10502i −0.400278 + 0.0855108i
\(607\) 7.84172 7.84172i 0.318286 0.318286i −0.529823 0.848108i \(-0.677742\pi\)
0.848108 + 0.529823i \(0.177742\pi\)
\(608\) −10.2892 37.6270i −0.417282 1.52598i
\(609\) 9.79477i 0.396904i
\(610\) 14.9570 + 2.52976i 0.605592 + 0.102427i
\(611\) 5.38986i 0.218050i
\(612\) −21.9603 8.37812i −0.887691 0.338666i
\(613\) 0.714872 0.714872i 0.0288734 0.0288734i −0.692523 0.721396i \(-0.743501\pi\)
0.721396 + 0.692523i \(0.243501\pi\)
\(614\) 6.83140 + 31.9779i 0.275693 + 1.29052i
\(615\) −1.29022 + 3.24900i −0.0520265 + 0.131012i
\(616\) −1.59488 2.18103i −0.0642596 0.0878760i
\(617\) 17.2100 + 17.2100i 0.692847 + 0.692847i 0.962857 0.270011i \(-0.0870272\pi\)
−0.270011 + 0.962857i \(0.587027\pi\)
\(618\) −17.3891 11.2673i −0.699491 0.453236i
\(619\) −0.361036 −0.0145113 −0.00725564 0.999974i \(-0.502310\pi\)
−0.00725564 + 0.999974i \(0.502310\pi\)
\(620\) −17.9856 16.5045i −0.722318 0.662837i
\(621\) −45.8146 −1.83847
\(622\) 25.7806 + 16.7046i 1.03371 + 0.669792i
\(623\) 2.84403 + 2.84403i 0.113944 + 0.113944i
\(624\) 3.04741 3.41254i 0.121994 0.136611i
\(625\) −1.46761 24.9569i −0.0587042 0.998275i
\(626\) −0.490001 2.29370i −0.0195844 0.0916748i
\(627\) −4.88533 + 4.88533i −0.195101 + 0.195101i
\(628\) −0.172967 + 0.453372i −0.00690215 + 0.0180915i
\(629\) 21.8086i 0.869566i
\(630\) 3.37970 + 4.75568i 0.134651 + 0.189471i
\(631\) 7.91135i 0.314946i 0.987523 + 0.157473i \(0.0503347\pi\)
−0.987523 + 0.157473i \(0.949665\pi\)
\(632\) −4.55460 0.707021i −0.181172 0.0281238i
\(633\) −8.16987 + 8.16987i −0.324723 + 0.324723i
\(634\) −12.6171 + 2.69536i −0.501087 + 0.107047i
\(635\) −24.8733 9.87751i −0.987068 0.391977i
\(636\) −2.88940 6.45404i −0.114572 0.255919i
\(637\) 4.10875 + 4.10875i 0.162795 + 0.162795i
\(638\) 5.28941 8.16329i 0.209410 0.323188i
\(639\) −8.48374 −0.335612
\(640\) −22.4911 11.5824i −0.889038 0.457833i
\(641\) −12.3758 −0.488813 −0.244407 0.969673i \(-0.578593\pi\)
−0.244407 + 0.969673i \(0.578593\pi\)
\(642\) −8.68350 + 13.4015i −0.342710 + 0.528914i
\(643\) −1.50067 1.50067i −0.0591807 0.0591807i 0.676897 0.736078i \(-0.263324\pi\)
−0.736078 + 0.676897i \(0.763324\pi\)
\(644\) −7.60878 16.9957i −0.299828 0.669725i
\(645\) −14.4188 + 6.22206i −0.567740 + 0.244994i
\(646\) −66.2506 + 14.1530i −2.60660 + 0.556844i
\(647\) 15.1830 15.1830i 0.596906 0.596906i −0.342582 0.939488i \(-0.611301\pi\)
0.939488 + 0.342582i \(0.111301\pi\)
\(648\) 2.97048 + 0.461115i 0.116692 + 0.0181143i
\(649\) 0.656320i 0.0257628i
\(650\) −6.04459 3.66918i −0.237088 0.143917i
\(651\) 6.80873i 0.266855i
\(652\) −8.59721 + 22.5345i −0.336693 + 0.882520i
\(653\) −11.8664 + 11.8664i −0.464369 + 0.464369i −0.900084 0.435716i \(-0.856495\pi\)
0.435716 + 0.900084i \(0.356495\pi\)
\(654\) 1.98517 + 9.29263i 0.0776263 + 0.363370i
\(655\) −31.8270 + 13.7341i −1.24358 + 0.536637i
\(656\) 3.64166 4.07798i 0.142183 0.159219i
\(657\) −11.5897 11.5897i −0.452157 0.452157i
\(658\) 6.97633 + 4.52032i 0.271966 + 0.176220i
\(659\) −46.7405 −1.82075 −0.910376 0.413782i \(-0.864208\pi\)
−0.910376 + 0.413782i \(0.864208\pi\)
\(660\) 0.192229 + 4.47651i 0.00748251 + 0.174248i
\(661\) 23.7102 0.922219 0.461109 0.887343i \(-0.347452\pi\)
0.461109 + 0.887343i \(0.347452\pi\)
\(662\) 38.8612 + 25.1801i 1.51038 + 0.978653i
\(663\) −5.61842 5.61842i −0.218201 0.218201i
\(664\) −6.30384 8.62059i −0.244636 0.334544i
\(665\) 15.6288 + 6.20639i 0.606059 + 0.240674i
\(666\) −1.56915 7.34521i −0.0608032 0.284621i
\(667\) 47.4024 47.4024i 1.83543 1.83543i
\(668\) 23.2979 + 8.88846i 0.901425 + 0.343905i
\(669\) 17.7509i 0.686288i
\(670\) 36.7119 26.0899i 1.41831 1.00794i
\(671\) 4.20192i 0.162213i
\(672\) 1.86123 + 6.80640i 0.0717984 + 0.262563i
\(673\) 1.49025 1.49025i 0.0574448 0.0574448i −0.677801 0.735246i \(-0.737067\pi\)
0.735246 + 0.677801i \(0.237067\pi\)
\(674\) −33.3587 + 7.12637i −1.28493 + 0.274498i
\(675\) −0.787912 26.8203i −0.0303268 1.03231i
\(676\) −1.82542 + 0.817219i −0.0702084 + 0.0314315i
\(677\) 21.9052 + 21.9052i 0.841884 + 0.841884i 0.989104 0.147219i \(-0.0470323\pi\)
−0.147219 + 0.989104i \(0.547032\pi\)
\(678\) 10.3182 15.9244i 0.396268 0.611571i
\(679\) 10.2643 0.393909
\(680\) −22.2871 + 37.8626i −0.854671 + 1.45197i
\(681\) −8.26205 −0.316602
\(682\) 3.67688 5.67462i 0.140795 0.217293i
\(683\) 21.9173 + 21.9173i 0.838644 + 0.838644i 0.988680 0.150037i \(-0.0479392\pi\)
−0.150037 + 0.988680i \(0.547939\pi\)
\(684\) −21.2951 + 9.53357i −0.814239 + 0.364525i
\(685\) 3.00502 7.56718i 0.114816 0.289127i
\(686\) −19.3219 + 4.12771i −0.737714 + 0.157597i
\(687\) −0.955494 + 0.955494i −0.0364544 + 0.0364544i
\(688\) 24.5214 1.38600i 0.934871 0.0528406i
\(689\) 3.09116i 0.117764i
\(690\) −5.14967 + 30.4470i −0.196044 + 1.15910i
\(691\) 1.94770i 0.0740939i 0.999314 + 0.0370470i \(0.0117951\pi\)
−0.999314 + 0.0370470i \(0.988205\pi\)
\(692\) −2.41697 0.922105i −0.0918794 0.0350532i
\(693\) −1.14275 + 1.14275i −0.0434094 + 0.0434094i
\(694\) −5.12932 24.0104i −0.194706 0.911424i
\(695\) 3.74450 + 8.67739i 0.142037 + 0.329152i
\(696\) −20.5054 + 14.9946i −0.777256 + 0.568371i
\(697\) −6.71400 6.71400i −0.254311 0.254311i
\(698\) 35.8956 + 23.2586i 1.35867 + 0.880349i
\(699\) 19.5521 0.739529
\(700\) 9.81861 4.74655i 0.371109 0.179403i
\(701\) 16.3253 0.616597 0.308299 0.951290i \(-0.400240\pi\)
0.308299 + 0.951290i \(0.400240\pi\)
\(702\) −6.36907 4.12685i −0.240385 0.155758i
\(703\) −15.3079 15.3079i −0.577348 0.577348i
\(704\) 2.12441 6.67779i 0.0800668 0.251679i
\(705\) −5.46177 12.6569i −0.205702 0.476687i
\(706\) −6.56404 30.7264i −0.247041 1.15640i
\(707\) −4.80359 + 4.80359i −0.180657 + 0.180657i
\(708\) 0.610967 1.60143i 0.0229615 0.0601855i
\(709\) 9.91483i 0.372359i −0.982516 0.186180i \(-0.940389\pi\)
0.982516 0.186180i \(-0.0596106\pi\)
\(710\) −2.64462 + 15.6361i −0.0992509 + 0.586814i
\(711\) 2.75682i 0.103389i
\(712\) −1.60012 + 10.3079i −0.0599670 + 0.386304i
\(713\) 32.9512 32.9512i 1.23403 1.23403i
\(714\) 11.9842 2.56016i 0.448496 0.0958116i
\(715\) 0.722900 1.82039i 0.0270349 0.0680788i
\(716\) −3.96779 8.86283i −0.148283 0.331220i
\(717\) −15.4096 15.4096i −0.575481 0.575481i
\(718\) 27.4459 42.3580i 1.02427 1.58079i
\(719\) 5.89066 0.219685 0.109842 0.993949i \(-0.464965\pi\)
0.109842 + 0.993949i \(0.464965\pi\)
\(720\) −4.78212 + 14.3558i −0.178219 + 0.535010i
\(721\) −13.9697 −0.520260
\(722\) −21.9570 + 33.8868i −0.817153 + 1.26114i
\(723\) 0.700969 + 0.700969i 0.0260693 + 0.0260693i
\(724\) 13.5240 + 30.2085i 0.502615 + 1.12269i
\(725\) 28.5650 + 26.9346i 1.06088 + 1.00033i
\(726\) 16.1869 3.45798i 0.600751 0.128338i
\(727\) 33.8770 33.8770i 1.25643 1.25643i 0.303642 0.952786i \(-0.401797\pi\)
0.952786 0.303642i \(-0.0982026\pi\)
\(728\) 0.473164 3.04810i 0.0175366 0.112970i
\(729\) 20.2120i 0.748594i
\(730\) −24.9735 + 17.7478i −0.924309 + 0.656875i
\(731\) 42.6540i 1.57762i
\(732\) 3.91155 10.2527i 0.144575 0.378952i
\(733\) 24.2491 24.2491i 0.895661 0.895661i −0.0993880 0.995049i \(-0.531689\pi\)
0.995049 + 0.0993880i \(0.0316885\pi\)
\(734\) 1.84297 + 8.62697i 0.0680252 + 0.318427i
\(735\) 13.8121 + 5.48495i 0.509467 + 0.202315i
\(736\) 23.9325 41.9475i 0.882163 1.54621i
\(737\) 8.82155 + 8.82155i 0.324946 + 0.324946i
\(738\) −2.74437 1.77822i −0.101022 0.0654571i
\(739\) 11.3816 0.418679 0.209339 0.977843i \(-0.432869\pi\)
0.209339 + 0.977843i \(0.432869\pi\)
\(740\) −14.0269 + 0.602338i −0.515638 + 0.0221424i
\(741\) −7.88735 −0.289749
\(742\) −4.00103 2.59247i −0.146882 0.0951726i
\(743\) 13.5560 + 13.5560i 0.497323 + 0.497323i 0.910604 0.413281i \(-0.135617\pi\)
−0.413281 + 0.910604i \(0.635617\pi\)
\(744\) −14.2541 + 10.4234i −0.522581 + 0.382139i
\(745\) −2.06316 + 0.890303i −0.0755883 + 0.0326182i
\(746\) 6.73646 + 31.5335i 0.246639 + 1.15452i
\(747\) −4.51676 + 4.51676i −0.165259 + 0.165259i
\(748\) −11.3706 4.33801i −0.415749 0.158613i
\(749\) 10.7663i 0.393391i
\(750\) −17.9126 2.49104i −0.654074 0.0909601i
\(751\) 0.486430i 0.0177501i 0.999961 + 0.00887505i \(0.00282505\pi\)
−0.999961 + 0.00887505i \(0.997175\pi\)
\(752\) 1.21664 + 21.5251i 0.0443661 + 0.784939i
\(753\) 9.70149 9.70149i 0.353542 0.353542i
\(754\) 10.8597 2.31994i 0.395486 0.0844871i
\(755\) 33.4336 14.4274i 1.21677 0.525068i
\(756\) 10.6831 4.78271i 0.388541 0.173945i
\(757\) 22.6809 + 22.6809i 0.824350 + 0.824350i 0.986729 0.162379i \(-0.0519166\pi\)
−0.162379 + 0.986729i \(0.551917\pi\)
\(758\) −25.6106 + 39.5255i −0.930219 + 1.43563i
\(759\) −8.55356 −0.310475
\(760\) 10.9328 + 42.2203i 0.396573 + 1.53149i
\(761\) 41.2722 1.49612 0.748058 0.663633i \(-0.230986\pi\)
0.748058 + 0.663633i \(0.230986\pi\)
\(762\) −10.5276 + 16.2476i −0.381376 + 0.588589i
\(763\) 4.53008 + 4.53008i 0.164000 + 0.164000i
\(764\) 35.8491 16.0492i 1.29697 0.580640i
\(765\) 24.4232 + 9.69875i 0.883022 + 0.350659i
\(766\) 3.73358 0.797600i 0.134900 0.0288184i
\(767\) −0.529814 + 0.529814i −0.0191305 + 0.0191305i
\(768\) −11.3999 + 14.3163i −0.411359 + 0.516595i
\(769\) 35.2742i 1.27202i 0.771681 + 0.636010i \(0.219416\pi\)
−0.771681 + 0.636010i \(0.780584\pi\)
\(770\) 1.74994 + 2.46239i 0.0630634 + 0.0887384i
\(771\) 15.4491i 0.556387i
\(772\) 34.5656 + 13.1872i 1.24404 + 0.474619i
\(773\) −26.9007 + 26.9007i −0.967551 + 0.967551i −0.999490 0.0319390i \(-0.989832\pi\)
0.0319390 + 0.999490i \(0.489832\pi\)
\(774\) −3.06899 14.3660i −0.110313 0.516376i
\(775\) 19.8567 + 18.7233i 0.713273 +