Properties

Label 260.2.o.a.183.12
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 183.12
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.12

$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.769019 1.18685i −0.543779 0.839229i
\(3\) −0.808783 + 0.808783i −0.466951 + 0.466951i −0.900925 0.433974i \(-0.857111\pi\)
0.433974 + 0.900925i \(0.357111\pi\)
\(4\) −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 0.837660 0.546192i \(-0.183923\pi\)
−0.546192 + 0.837660i \(0.683923\pi\)
\(8\) 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 \(0.0421572\pi\)
−0.991243 + 0.132054i \(0.957843\pi\)
\(12\) −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 0.214671 0.976686i \(-0.431132\pi\)
0.976686 0.214671i \(-0.0688681\pi\)
\(18\) 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 0.307077 0.951685i \(-0.400649\pi\)
0.951685 0.307077i \(-0.0993509\pi\)
\(24\) −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 \(0.260043\pi\)
−0.684449 + 0.729060i \(0.739957\pi\)
\(30\) 2.09526 2.94830i 0.382540 0.538284i
\(31\) 5.45839i 0.980356i 0.871622 + 0.490178i \(0.163068\pi\)
−0.871622 + 0.490178i \(0.836932\pi\)
\(32\) −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 −0.865631 0.500683i \(-0.833082\pi\)
0.500683 + 0.865631i \(0.333082\pi\)
\(38\) −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 −0.955877 0.293768i \(-0.905091\pi\)
0.293768 + 0.955877i \(0.405091\pi\)
\(44\) −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 0.928144 0.372222i \(-0.121404\pi\)
−0.372222 + 0.928144i \(0.621404\pi\)
\(48\) 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 0.540867 0.841108i \(-0.318096\pi\)
−0.841108 + 0.540867i \(0.818096\pi\)
\(54\) −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 −0.963828 0.266526i \(-0.914124\pi\)
−0.266526 0.963828i \(-0.585876\pi\)
\(68\) 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 \(0.0961775\pi\)
−0.954699 + 0.297574i \(0.903823\pi\)
\(72\) 0.733990 + 4.72833i 0.0865016 + 0.557239i
\(73\) 6.85076 + 6.85076i 0.801821 + 0.801821i 0.983380 0.181559i \(-0.0581144\pi\)
−0.181559 + 0.983380i \(0.558114\pi\)
\(74\) 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 −0.838287 0.545229i \(-0.816443\pi\)
0.545229 + 0.838287i \(0.316443\pi\)
\(84\) 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 \(-0.937378\pi\)
0.980711 0.195466i \(-0.0626218\pi\)
\(90\) −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 −0.283299 0.959032i \(-0.591429\pi\)
0.959032 + 0.283299i \(0.0914288\pi\)
\(98\) −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 −0.994756 0.102273i \(-0.967388\pi\)
0.102273 + 0.994756i \(0.467388\pi\)
\(104\) 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 0.283985 0.958829i \(-0.408344\pi\)
−0.958829 + 0.283985i \(0.908344\pi\)
\(108\) 10.0278 3.82572i 0.964921 0.368130i
\(109\) 5.87444i 0.562670i −0.959610 0.281335i \(-0.909223\pi\)
0.959610 0.281335i \(-0.0907772\pi\)
\(110\) −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 0.979882 0.199576i \(-0.0639564\pi\)
−0.199576 + 0.979882i \(0.563956\pi\)
\(114\) 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 0.223680 0.974663i \(-0.428193\pi\)
−0.974663 + 0.223680i \(0.928193\pi\)
\(128\) −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 \(-0.763187\pi\)
0.735785 0.677215i \(-0.236813\pi\)
\(132\) 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 −0.808487 0.588513i \(-0.799713\pi\)
0.588513 + 0.808487i \(0.299713\pi\)
\(138\) 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 \(-0.986894\pi\)
0.999152 0.0411629i \(-0.0131063\pi\)
\(150\) −4.19678 6.91376i −0.342666 0.564506i
\(151\) 16.2847i 1.32523i 0.748960 + 0.662615i \(0.230554\pi\)
−0.748960 + 0.662615i \(0.769446\pi\)
\(152\) 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 −0.713920 0.700228i \(-0.753082\pi\)
0.700228 + 0.713920i \(0.253082\pi\)
\(158\) 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 −0.957232 0.289323i \(-0.906570\pi\)
0.289323 + 0.957232i \(0.406570\pi\)
\(164\) 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 0.278283 0.960499i \(-0.410235\pi\)
−0.960499 + 0.278283i \(0.910235\pi\)
\(168\) −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 0.741020 0.671483i \(-0.234343\pi\)
−0.671483 + 0.741020i \(0.734343\pi\)
\(174\) −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 \(-0.748465\pi\)
0.703690 0.710508i \(-0.251535\pi\)
\(192\) −4.20425 + 8.12730i −0.303416 + 0.586537i
\(193\) −13.0800 13.0800i −0.941517 0.941517i 0.0568651 0.998382i \(-0.481890\pi\)
−0.998382 + 0.0568651i \(0.981890\pi\)
\(194\) −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 −0.734149 0.678989i \(-0.762418\pi\)
0.678989 + 0.734149i \(0.262418\pi\)
\(198\) 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 \(0.113039\pi\)
−0.937604 + 0.347706i \(0.886961\pi\)
\(212\) 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 −0.971578 0.236718i \(-0.923928\pi\)
0.236718 + 0.971578i \(0.423928\pi\)
\(224\) −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 0.855995 0.516985i \(-0.172946\pi\)
−0.516985 + 0.855995i \(0.672946\pi\)
\(228\) −5.62293 14.7385i −0.372388 0.976082i
\(229\) 1.18140i 0.0780689i 0.999238 + 0.0390345i \(0.0124282\pi\)
−0.999238 + 0.0390345i \(0.987572\pi\)
\(230\) −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 0.189928 0.981798i \(-0.439175\pi\)
−0.981798 + 0.189928i \(0.939175\pi\)
\(234\) 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 \(-0.876418\pi\)
0.925575 0.378564i \(-0.123582\pi\)
\(252\) −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 −0.939183 0.343417i \(-0.888416\pi\)
0.343417 + 0.939183i \(0.388416\pi\)
\(258\) −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 −0.415930 0.909397i \(-0.636544\pi\)
0.909397 + 0.415930i \(0.136544\pi\)
\(264\) −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 \(-0.928680\pi\)
0.975004 0.222188i \(-0.0713197\pi\)
\(270\) 13.8327 + 9.83041i 0.841830 + 0.598260i
\(271\) 4.92513i 0.299181i −0.988748 0.149590i \(-0.952205\pi\)
0.988748 0.149590i \(-0.0477955\pi\)
\(272\) −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 −0.985888 0.167406i \(-0.946461\pi\)
0.167406 + 0.985888i \(0.446461\pi\)
\(278\) −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 −0.964914 0.262565i \(-0.915432\pi\)
0.262565 + 0.964914i \(0.415432\pi\)
\(284\) −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 0.461403 0.887191i \(-0.347346\pi\)
−0.887191 + 0.461403i \(0.847346\pi\)
\(294\) 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 0.997900 0.0647718i \(-0.0206319\pi\)
−0.0647718 + 0.997900i \(0.520632\pi\)
\(308\) −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 \(0.211194\pi\)
−0.787850 + 0.615868i \(0.788806\pi\)
\(312\) −3.19685 + 0.496254i −0.180986 + 0.0280949i
\(313\) −1.17273 1.17273i −0.0662866 0.0662866i 0.673186 0.739473i \(-0.264925\pi\)
−0.739473 + 0.673186i \(0.764925\pi\)
\(314\) 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 −0.502348 0.864665i \(-0.667530\pi\)
0.864665 + 0.502348i \(0.167530\pi\)
\(318\) −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 \(0.356334\pi\)
−0.436173 + 0.899863i \(0.643666\pi\)
\(332\) −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 −0.0685633 0.997647i \(-0.521842\pi\)
0.997647 + 0.0685633i \(0.0218415\pi\)
\(338\) 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 0.296131 0.955147i \(-0.404303\pi\)
−0.955147 + 0.296131i \(0.904303\pi\)
\(348\) 16.7827 6.40282i 0.899648 0.343227i
\(349\) 30.2444i 1.61895i 0.587156 + 0.809474i \(0.300248\pi\)
−0.587156 + 0.809474i \(0.699752\pi\)
\(350\) −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 0.152198 0.988350i \(-0.451365\pi\)
−0.988350 + 0.152198i \(0.951365\pi\)
\(354\) −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 0.812794 0.582551i \(-0.197945\pi\)
−0.582551 + 0.812794i \(0.697945\pi\)
\(368\) −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 0.988168 0.153376i \(-0.0490145\pi\)
−0.153376 + 0.988168i \(0.549015\pi\)
\(374\) 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 −0.754193 0.656652i \(-0.771972\pi\)
0.656652 + 0.754193i \(0.271972\pi\)
\(384\) 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 \(0.0168420\pi\)
−0.998601 + 0.0528859i \(0.983158\pi\)
\(390\) 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 −0.183431 + 0.983033i \(0.558720\pi\)
−0.983033 + 0.183431i \(0.941280\pi\)
\(398\) 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 \(0.405047\pi\)
−0.293898 + 0.955837i \(0.594953\pi\)
\(410\) 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 \(-0.694561\pi\)
0.573876 0.818942i \(-0.305439\pi\)
\(432\) −1.21134 + 21.4313i −0.0582804 + 1.03111i
\(433\) −20.4386 20.4386i −0.982216 0.982216i 0.0176285 0.999845i \(-0.494388\pi\)
−0.999845 + 0.0176285i \(0.994388\pi\)
\(434\) 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 −0.983618 0.180266i \(-0.942304\pi\)
0.180266 + 0.983618i \(0.442304\pi\)
\(444\) 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 \(0.117141\pi\)
−0.933046 + 0.359758i \(0.882859\pi\)
\(450\) −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 −0.511252 0.859431i \(-0.670818\pi\)
0.859431 + 0.511252i \(0.170818\pi\)
\(458\) 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 −0.572614 0.819825i \(-0.694070\pi\)
0.819825 + 0.572614i \(0.194070\pi\)
\(464\) 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 0.372210 0.928149i \(-0.378600\pi\)
−0.928149 + 0.372210i \(0.878600\pi\)
\(468\) −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 0.827172 0.561949i \(-0.189948\pi\)
−0.561949 + 0.827172i \(0.689948\pi\)
\(488\) −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 \(-0.762323\pi\)
0.733945 0.679209i \(-0.237677\pi\)
\(492\) 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 −0.551343 0.834279i \(-0.685884\pi\)
0.834279 + 0.551343i \(0.185884\pi\)
\(504\) −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 \(0.356681\pi\)
−0.435190 + 0.900338i \(0.643319\pi\)
\(510\) −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 −0.592793 0.805355i \(-0.701975\pi\)
0.805355 + 0.592793i \(0.201975\pi\)
\(524\) 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 0.517806 0.855498i \(-0.326749\pi\)
−0.855498 + 0.517806i \(0.826749\pi\)
\(548\) −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 −0.530176 0.847887i \(-0.677874\pi\)
0.847887 + 0.530176i \(0.177874\pi\)
\(558\) 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 −0.680440 0.732804i \(-0.738211\pi\)
0.732804 + 0.680440i \(0.238211\pi\)
\(564\) 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 \(0.155124\pi\)
−0.883583 + 0.468274i \(0.844876\pi\)
\(570\) 14.4485 20.3309i 0.605180 0.851567i
\(571\) 40.7031i 1.70337i −0.524052 0.851686i \(-0.675580\pi\)
0.524052 0.851686i \(-0.324420\pi\)
\(572\) −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 −0.813263 0.581897i \(-0.802311\pi\)
0.581897 + 0.813263i \(0.302311\pi\)
\(578\) −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 0.811957 0.583717i \(-0.198402\pi\)
−0.583717 + 0.811957i \(0.698402\pi\)
\(588\) −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 0.997774 + 0.0666872i \(0.0212429\pi\)
0.0666872 + 0.997774i \(0.478757\pi\)
\(594\) −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 0.848108 0.529823i \(-0.177742\pi\)
−0.529823 + 0.848108i \(0.677742\pi\)
\(608\) −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 0.721396 0.692523i \(-0.243501\pi\)
−0.692523 + 0.721396i \(0.743501\pi\)
\(614\) 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 −0.270011 0.962857i \(-0.587027\pi\)
0.962857 + 0.270011i \(0.0870272\pi\)
\(618\) −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 \(-0.949665\pi\)
0.987523 0.157473i \(-0.0503347\pi\)
\(632\) −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 −0.736078 0.676897i \(-0.763324\pi\)
0.676897 + 0.736078i \(0.263324\pi\)
\(644\) −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 0.939488 0.342582i \(-0.111301\pi\)
−0.342582 + 0.939488i \(0.611301\pi\)
\(648\) 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 0.435716 0.900084i \(-0.356495\pi\)
−0.900084 + 0.435716i \(0.856495\pi\)
\(654\) 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 0.735246 0.677801i \(-0.237067\pi\)
−0.677801 + 0.735246i \(0.737067\pi\)
\(674\) −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 −0.147219 0.989104i \(-0.547032\pi\)
0.989104 + 0.147219i \(0.0470323\pi\)
\(678\) 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 −0.150037 0.988680i \(-0.547939\pi\)
0.988680 + 0.150037i \(0.0479392\pi\)
\(684\) −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 \(-0.988205\pi\)
0.999314 0.0370470i \(-0.0117951\pi\)
\(692\) −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 \(0.0596106\pi\)
−0.982516 + 0.186180i \(0.940389\pi\)
\(710\) −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 0.952786 + 0.303642i \(0.0982026\pi\)
0.303642 + 0.952786i \(0.401797\pi\)
\(728\) 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 0.995049 0.0993880i \(-0.0316885\pi\)
−0.0993880 + 0.995049i \(0.531689\pi\)
\(734\) 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 −0.413281 0.910604i \(-0.635617\pi\)
0.910604 + 0.413281i \(0.135617\pi\)
\(744\) −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 \(-0.997175\pi\)
0.999961 0.00887505i \(-0.00282505\pi\)
\(752\) 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 −0.162379 0.986729i \(-0.551917\pi\)
0.986729 + 0.162379i \(0.0519166\pi\)
\(758\) −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 \(-0.780584\pi\)
0.771681 0.636010i \(-0.219416\pi\)
\(770\) 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 0.0319390 0.999490i \(-0.489832\pi\)
−0.999490 + 0.0319390i \(0.989832\pi\)
\(774\) −3.06899 + 14.3660i −0.110313 + 0.516376i
\(775\) 19.8567 18.7233i