Properties

Label 260.2.o.a.183.13
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 183.13
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.516756 - 1.31642i) q^{2} +(-2.23963 + 2.23963i) q^{3} +(-1.46593 + 1.36054i) q^{4} +(-2.20168 + 0.390628i) q^{5} +(4.10564 + 1.79095i) q^{6} +(0.918543 + 0.918543i) q^{7} +(2.54856 + 1.22671i) q^{8} -7.03189i q^{9} +O(q^{10})\) \(q+(-0.516756 - 1.31642i) q^{2} +(-2.23963 + 2.23963i) q^{3} +(-1.46593 + 1.36054i) q^{4} +(-2.20168 + 0.390628i) q^{5} +(4.10564 + 1.79095i) q^{6} +(0.918543 + 0.918543i) q^{7} +(2.54856 + 1.22671i) q^{8} -7.03189i q^{9} +(1.65196 + 2.69648i) q^{10} -3.84514i q^{11} +(0.236035 - 6.33023i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(0.734526 - 1.68385i) q^{14} +(4.05610 - 5.80582i) q^{15} +(0.297882 - 3.98889i) q^{16} +(-1.82590 + 1.82590i) q^{17} +(-9.25693 + 3.63377i) q^{18} -2.11964 q^{19} +(2.69604 - 3.56810i) q^{20} -4.11439 q^{21} +(-5.06183 + 1.98700i) q^{22} +(4.88785 - 4.88785i) q^{23} +(-8.45522 + 2.96046i) q^{24} +(4.69482 - 1.72008i) q^{25} +(-0.565448 + 1.29625i) q^{26} +(9.02994 + 9.02994i) q^{27} +(-2.59623 - 0.0968054i) q^{28} -8.40499i q^{29} +(-9.73891 - 2.33934i) q^{30} +2.11067i q^{31} +(-5.40499 + 1.66915i) q^{32} +(8.61170 + 8.61170i) q^{33} +(3.34719 + 1.46011i) q^{34} +(-2.38115 - 1.66353i) q^{35} +(9.56714 + 10.3082i) q^{36} +(-4.85589 + 4.85589i) q^{37} +(1.09534 + 2.79033i) q^{38} +3.16732 q^{39} +(-6.09032 - 1.70529i) q^{40} +1.76398 q^{41} +(2.12614 + 5.41627i) q^{42} +(-0.980214 + 0.980214i) q^{43} +(5.23146 + 5.63670i) q^{44} +(2.74685 + 15.4820i) q^{45} +(-8.96029 - 3.90864i) q^{46} +(-6.80504 - 6.80504i) q^{47} +(8.26650 + 9.60079i) q^{48} -5.31256i q^{49} +(-4.69042 - 5.29150i) q^{50} -8.17867i q^{51} +(1.99861 + 0.0745222i) q^{52} +(-2.86242 - 2.86242i) q^{53} +(7.22093 - 16.5535i) q^{54} +(1.50202 + 8.46579i) q^{55} +(1.21418 + 3.46775i) q^{56} +(4.74721 - 4.74721i) q^{57} +(-11.0645 + 4.34333i) q^{58} -8.24159 q^{59} +(1.95309 + 14.0294i) q^{60} +2.94727 q^{61} +(2.77852 - 1.09070i) q^{62} +(6.45909 - 6.45909i) q^{63} +(4.99036 + 6.25270i) q^{64} +(1.83304 + 1.28061i) q^{65} +(6.88647 - 15.7868i) q^{66} +(1.81327 + 1.81327i) q^{67} +(0.192432 - 5.16083i) q^{68} +21.8940i q^{69} +(-0.959435 + 3.99423i) q^{70} +3.60503i q^{71} +(8.62610 - 17.9212i) q^{72} +(-11.5580 - 11.5580i) q^{73} +(8.90171 + 3.88309i) q^{74} +(-6.66232 + 14.3670i) q^{75} +(3.10723 - 2.88384i) q^{76} +(3.53193 - 3.53193i) q^{77} +(-1.63673 - 4.16952i) q^{78} +4.41904 q^{79} +(0.902332 + 8.89864i) q^{80} -19.3518 q^{81} +(-0.911545 - 2.32213i) q^{82} +(4.20776 - 4.20776i) q^{83} +(6.03140 - 5.59778i) q^{84} +(3.30680 - 4.73329i) q^{85} +(1.79691 + 0.783843i) q^{86} +(18.8241 + 18.8241i) q^{87} +(4.71688 - 9.79960i) q^{88} -9.46948i q^{89} +(18.9614 - 11.6164i) q^{90} -1.29902i q^{91} +(-0.515132 + 13.8153i) q^{92} +(-4.72711 - 4.72711i) q^{93} +(-5.44175 + 12.4748i) q^{94} +(4.66677 - 0.827990i) q^{95} +(8.36692 - 15.8435i) q^{96} +(2.33396 - 2.33396i) q^{97} +(-6.99356 + 2.74530i) q^{98} -27.0386 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.516756 1.31642i −0.365402 0.930850i
\(3\) −2.23963 + 2.23963i −1.29305 + 1.29305i −0.360161 + 0.932890i \(0.617278\pi\)
−0.932890 + 0.360161i \(0.882722\pi\)
\(4\) −1.46593 + 1.36054i −0.732963 + 0.680268i
\(5\) −2.20168 + 0.390628i −0.984623 + 0.174694i
\(6\) 4.10564 + 1.79095i 1.67612 + 0.731154i
\(7\) 0.918543 + 0.918543i 0.347177 + 0.347177i 0.859057 0.511880i \(-0.171051\pi\)
−0.511880 + 0.859057i \(0.671051\pi\)
\(8\) 2.54856 + 1.22671i 0.901054 + 0.433708i
\(9\) 7.03189i 2.34396i
\(10\) 1.65196 + 2.69648i 0.522397 + 0.852703i
\(11\) 3.84514i 1.15935i −0.814846 0.579677i \(-0.803179\pi\)
0.814846 0.579677i \(-0.196821\pi\)
\(12\) 0.236035 6.33023i 0.0681375 1.82738i
\(13\) −0.707107 0.707107i −0.196116 0.196116i
\(14\) 0.734526 1.68385i 0.196310 0.450028i
\(15\) 4.05610 5.80582i 1.04728 1.49906i
\(16\) 0.297882 3.98889i 0.0744704 0.997223i
\(17\) −1.82590 + 1.82590i −0.442845 + 0.442845i −0.892967 0.450122i \(-0.851380\pi\)
0.450122 + 0.892967i \(0.351380\pi\)
\(18\) −9.25693 + 3.63377i −2.18188 + 0.856488i
\(19\) −2.11964 −0.486278 −0.243139 0.969991i \(-0.578177\pi\)
−0.243139 + 0.969991i \(0.578177\pi\)
\(20\) 2.69604 3.56810i 0.602853 0.797852i
\(21\) −4.11439 −0.897834
\(22\) −5.06183 + 1.98700i −1.07919 + 0.423630i
\(23\) 4.88785 4.88785i 1.01919 1.01919i 0.0193750 0.999812i \(-0.493832\pi\)
0.999812 0.0193750i \(-0.00616763\pi\)
\(24\) −8.45522 + 2.96046i −1.72591 + 0.604302i
\(25\) 4.69482 1.72008i 0.938964 0.344016i
\(26\) −0.565448 + 1.29625i −0.110894 + 0.254216i
\(27\) 9.02994 + 9.02994i 1.73781 + 1.73781i
\(28\) −2.59623 0.0968054i −0.490641 0.0182945i
\(29\) 8.40499i 1.56077i −0.625301 0.780383i \(-0.715024\pi\)
0.625301 0.780383i \(-0.284976\pi\)
\(30\) −9.73891 2.33934i −1.77807 0.427102i
\(31\) 2.11067i 0.379087i 0.981872 + 0.189543i \(0.0607008\pi\)
−0.981872 + 0.189543i \(0.939299\pi\)
\(32\) −5.40499 + 1.66915i −0.955477 + 0.295066i
\(33\) 8.61170 + 8.61170i 1.49910 + 1.49910i
\(34\) 3.34719 + 1.46011i 0.574038 + 0.250406i
\(35\) −2.38115 1.66353i −0.402488 0.281188i
\(36\) 9.56714 + 10.3082i 1.59452 + 1.71804i
\(37\) −4.85589 + 4.85589i −0.798304 + 0.798304i −0.982828 0.184524i \(-0.940926\pi\)
0.184524 + 0.982828i \(0.440926\pi\)
\(38\) 1.09534 + 2.79033i 0.177687 + 0.452652i
\(39\) 3.16732 0.507176
\(40\) −6.09032 1.70529i −0.962964 0.269630i
\(41\) 1.76398 0.275487 0.137743 0.990468i \(-0.456015\pi\)
0.137743 + 0.990468i \(0.456015\pi\)
\(42\) 2.12614 + 5.41627i 0.328070 + 0.835749i
\(43\) −0.980214 + 0.980214i −0.149481 + 0.149481i −0.777886 0.628405i \(-0.783708\pi\)
0.628405 + 0.777886i \(0.283708\pi\)
\(44\) 5.23146 + 5.63670i 0.788672 + 0.849764i
\(45\) 2.74685 + 15.4820i 0.409477 + 2.30792i
\(46\) −8.96029 3.90864i −1.32112 0.576298i
\(47\) −6.80504 6.80504i −0.992617 0.992617i 0.00735546 0.999973i \(-0.497659\pi\)
−0.999973 + 0.00735546i \(0.997659\pi\)
\(48\) 8.26650 + 9.60079i 1.19317 + 1.38575i
\(49\) 5.31256i 0.758937i
\(50\) −4.69042 5.29150i −0.663326 0.748331i
\(51\) 8.17867i 1.14524i
\(52\) 1.99861 + 0.0745222i 0.277157 + 0.0103344i
\(53\) −2.86242 2.86242i −0.393183 0.393183i 0.482637 0.875820i \(-0.339679\pi\)
−0.875820 + 0.482637i \(0.839679\pi\)
\(54\) 7.22093 16.5535i 0.982644 2.25264i
\(55\) 1.50202 + 8.46579i 0.202532 + 1.14153i
\(56\) 1.21418 + 3.46775i 0.162252 + 0.463398i
\(57\) 4.74721 4.74721i 0.628783 0.628783i
\(58\) −11.0645 + 4.34333i −1.45284 + 0.570307i
\(59\) −8.24159 −1.07296 −0.536482 0.843912i \(-0.680247\pi\)
−0.536482 + 0.843912i \(0.680247\pi\)
\(60\) 1.95309 + 14.0294i 0.252143 + 1.81118i
\(61\) 2.94727 0.377359 0.188679 0.982039i \(-0.439579\pi\)
0.188679 + 0.982039i \(0.439579\pi\)
\(62\) 2.77852 1.09070i 0.352873 0.138519i
\(63\) 6.45909 6.45909i 0.813769 0.813769i
\(64\) 4.99036 + 6.25270i 0.623795 + 0.781588i
\(65\) 1.83304 + 1.28061i 0.227361 + 0.158840i
\(66\) 6.88647 15.7868i 0.847666 1.94322i
\(67\) 1.81327 + 1.81327i 0.221526 + 0.221526i 0.809141 0.587615i \(-0.199933\pi\)
−0.587615 + 0.809141i \(0.699933\pi\)
\(68\) 0.192432 5.16083i 0.0233358 0.625842i
\(69\) 21.8940i 2.63572i
\(70\) −0.959435 + 3.99423i −0.114674 + 0.477402i
\(71\) 3.60503i 0.427839i 0.976851 + 0.213919i \(0.0686230\pi\)
−0.976851 + 0.213919i \(0.931377\pi\)
\(72\) 8.62610 17.9212i 1.01660 2.11204i
\(73\) −11.5580 11.5580i −1.35276 1.35276i −0.882559 0.470201i \(-0.844181\pi\)
−0.470201 0.882559i \(-0.655819\pi\)
\(74\) 8.90171 + 3.88309i 1.03480 + 0.451400i
\(75\) −6.66232 + 14.3670i −0.769299 + 1.65896i
\(76\) 3.10723 2.88384i 0.356424 0.330800i
\(77\) 3.53193 3.53193i 0.402501 0.402501i
\(78\) −1.63673 4.16952i −0.185323 0.472105i
\(79\) 4.41904 0.497181 0.248590 0.968609i \(-0.420033\pi\)
0.248590 + 0.968609i \(0.420033\pi\)
\(80\) 0.902332 + 8.89864i 0.100884 + 0.994898i
\(81\) −19.3518 −2.15020
\(82\) −0.911545 2.32213i −0.100663 0.256437i
\(83\) 4.20776 4.20776i 0.461861 0.461861i −0.437404 0.899265i \(-0.644102\pi\)
0.899265 + 0.437404i \(0.144102\pi\)
\(84\) 6.03140 5.59778i 0.658079 0.610768i
\(85\) 3.30680 4.73329i 0.358673 0.513398i
\(86\) 1.79691 + 0.783843i 0.193765 + 0.0845239i
\(87\) 18.8241 + 18.8241i 2.01815 + 2.01815i
\(88\) 4.71688 9.79960i 0.502821 1.04464i
\(89\) 9.46948i 1.00376i −0.864936 0.501882i \(-0.832641\pi\)
0.864936 0.501882i \(-0.167359\pi\)
\(90\) 18.9614 11.6164i 1.99870 1.22448i
\(91\) 1.29902i 0.136174i
\(92\) −0.515132 + 13.8153i −0.0537062 + 1.44035i
\(93\) −4.72711 4.72711i −0.490179 0.490179i
\(94\) −5.44175 + 12.4748i −0.561274 + 1.28668i
\(95\) 4.66677 0.827990i 0.478801 0.0849500i
\(96\) 8.36692 15.8435i 0.853945 1.61702i
\(97\) 2.33396 2.33396i 0.236977 0.236977i −0.578620 0.815597i \(-0.696409\pi\)
0.815597 + 0.578620i \(0.196409\pi\)
\(98\) −6.99356 + 2.74530i −0.706456 + 0.277317i
\(99\) −27.0386 −2.71748
\(100\) −4.54203 + 8.90898i −0.454203 + 0.890898i
\(101\) 3.70148 0.368311 0.184155 0.982897i \(-0.441045\pi\)
0.184155 + 0.982897i \(0.441045\pi\)
\(102\) −10.7666 + 4.22637i −1.06605 + 0.418473i
\(103\) −11.8324 + 11.8324i −1.16588 + 1.16588i −0.182711 + 0.983167i \(0.558487\pi\)
−0.983167 + 0.182711i \(0.941513\pi\)
\(104\) −0.934692 2.66952i −0.0916541 0.261768i
\(105\) 9.05859 1.60720i 0.884028 0.156846i
\(106\) −2.28897 + 5.24732i −0.222325 + 0.509664i
\(107\) −5.22115 5.22115i −0.504748 0.504748i 0.408162 0.912910i \(-0.366170\pi\)
−0.912910 + 0.408162i \(0.866170\pi\)
\(108\) −25.5228 0.951668i −2.45593 0.0915743i
\(109\) 8.97655i 0.859797i 0.902877 + 0.429899i \(0.141451\pi\)
−0.902877 + 0.429899i \(0.858549\pi\)
\(110\) 10.3684 6.35204i 0.988584 0.605643i
\(111\) 21.7508i 2.06450i
\(112\) 3.93759 3.39035i 0.372067 0.320358i
\(113\) −3.62969 3.62969i −0.341452 0.341452i 0.515461 0.856913i \(-0.327621\pi\)
−0.856913 + 0.515461i \(0.827621\pi\)
\(114\) −8.70247 3.79617i −0.815061 0.355544i
\(115\) −8.85217 + 12.6708i −0.825469 + 1.18156i
\(116\) 11.4353 + 12.3211i 1.06174 + 1.14398i
\(117\) −4.97230 + 4.97230i −0.459689 + 0.459689i
\(118\) 4.25889 + 10.8494i 0.392063 + 0.998768i
\(119\) −3.35433 −0.307491
\(120\) 17.4593 9.82085i 1.59381 0.896517i
\(121\) −3.78513 −0.344103
\(122\) −1.52302 3.87984i −0.137888 0.351264i
\(123\) −3.95065 + 3.95065i −0.356219 + 0.356219i
\(124\) −2.87164 3.09408i −0.257881 0.277857i
\(125\) −9.66460 + 5.62100i −0.864428 + 0.502757i
\(126\) −11.8407 5.16511i −1.05485 0.460144i
\(127\) −4.53841 4.53841i −0.402719 0.402719i 0.476471 0.879190i \(-0.341916\pi\)
−0.879190 + 0.476471i \(0.841916\pi\)
\(128\) 5.65239 9.80054i 0.499605 0.866253i
\(129\) 4.39063i 0.386574i
\(130\) 0.738586 3.07482i 0.0647783 0.269679i
\(131\) 17.3332i 1.51441i −0.653180 0.757203i \(-0.726565\pi\)
0.653180 0.757203i \(-0.273435\pi\)
\(132\) −24.3407 0.907589i −2.11858 0.0789955i
\(133\) −1.94698 1.94698i −0.168824 0.168824i
\(134\) 1.45001 3.32404i 0.125261 0.287153i
\(135\) −23.4084 16.3537i −2.01468 1.40750i
\(136\) −6.89326 + 2.41357i −0.591092 + 0.206962i
\(137\) −5.36795 + 5.36795i −0.458615 + 0.458615i −0.898201 0.439586i \(-0.855125\pi\)
0.439586 + 0.898201i \(0.355125\pi\)
\(138\) 28.8217 11.3138i 2.45346 0.963097i
\(139\) −16.6018 −1.40815 −0.704073 0.710128i \(-0.748637\pi\)
−0.704073 + 0.710128i \(0.748637\pi\)
\(140\) 5.75389 0.801024i 0.486292 0.0676989i
\(141\) 30.4816 2.56701
\(142\) 4.74574 1.86292i 0.398254 0.156333i
\(143\) −2.71893 + 2.71893i −0.227368 + 0.227368i
\(144\) −28.0495 2.09467i −2.33745 0.174556i
\(145\) 3.28322 + 18.5051i 0.272657 + 1.53677i
\(146\) −9.24252 + 21.1878i −0.764916 + 1.75352i
\(147\) 11.8982 + 11.8982i 0.981344 + 0.981344i
\(148\) 0.511764 13.7250i 0.0420667 1.12819i
\(149\) 14.1914i 1.16260i 0.813688 + 0.581302i \(0.197457\pi\)
−0.813688 + 0.581302i \(0.802543\pi\)
\(150\) 22.3558 + 1.34618i 1.82534 + 0.109916i
\(151\) 4.46986i 0.363752i 0.983321 + 0.181876i \(0.0582169\pi\)
−0.983321 + 0.181876i \(0.941783\pi\)
\(152\) −5.40203 2.60018i −0.438163 0.210903i
\(153\) 12.8395 + 12.8395i 1.03801 + 1.03801i
\(154\) −6.47465 2.82436i −0.521742 0.227593i
\(155\) −0.824485 4.64702i −0.0662242 0.373257i
\(156\) −4.64305 + 4.30925i −0.371742 + 0.345016i
\(157\) 13.1851 13.1851i 1.05229 1.05229i 0.0537332 0.998555i \(-0.482888\pi\)
0.998555 0.0537332i \(-0.0171121\pi\)
\(158\) −2.28357 5.81732i −0.181671 0.462801i
\(159\) 12.8215 1.01681
\(160\) 11.2481 5.78627i 0.889238 0.457445i
\(161\) 8.97940 0.707676
\(162\) 10.0002 + 25.4751i 0.785687 + 2.00151i
\(163\) 12.3293 12.3293i 0.965704 0.965704i −0.0337267 0.999431i \(-0.510738\pi\)
0.999431 + 0.0337267i \(0.0107376\pi\)
\(164\) −2.58586 + 2.39995i −0.201922 + 0.187405i
\(165\) −22.3242 15.5963i −1.73794 1.21417i
\(166\) −7.71356 3.36479i −0.598688 0.261159i
\(167\) 4.32625 + 4.32625i 0.334776 + 0.334776i 0.854397 0.519621i \(-0.173927\pi\)
−0.519621 + 0.854397i \(0.673927\pi\)
\(168\) −10.4858 5.04717i −0.808997 0.389398i
\(169\) 1.00000i 0.0769231i
\(170\) −7.93981 1.90718i −0.608956 0.146274i
\(171\) 14.9051i 1.13982i
\(172\) 0.103305 2.77054i 0.00787693 0.211252i
\(173\) 7.96635 + 7.96635i 0.605670 + 0.605670i 0.941812 0.336141i \(-0.109122\pi\)
−0.336141 + 0.941812i \(0.609122\pi\)
\(174\) 15.0529 34.5078i 1.14116 2.61603i
\(175\) 5.89236 + 2.73243i 0.445420 + 0.206552i
\(176\) −15.3379 1.14540i −1.15614 0.0863376i
\(177\) 18.4581 18.4581i 1.38740 1.38740i
\(178\) −12.4658 + 4.89341i −0.934353 + 0.366777i
\(179\) 11.8615 0.886572 0.443286 0.896380i \(-0.353813\pi\)
0.443286 + 0.896380i \(0.353813\pi\)
\(180\) −25.0905 18.9583i −1.87014 1.41307i
\(181\) 2.12699 0.158098 0.0790488 0.996871i \(-0.474812\pi\)
0.0790488 + 0.996871i \(0.474812\pi\)
\(182\) −1.71005 + 0.671274i −0.126757 + 0.0497581i
\(183\) −6.60079 + 6.60079i −0.487944 + 0.487944i
\(184\) 18.4530 6.46102i 1.36037 0.476313i
\(185\) 8.79429 12.5880i 0.646569 0.925487i
\(186\) −3.78010 + 8.66563i −0.277171 + 0.635395i
\(187\) 7.02083 + 7.02083i 0.513414 + 0.513414i
\(188\) 19.2342 + 0.717185i 1.40280 + 0.0523061i
\(189\) 16.5888i 1.20666i
\(190\) −3.50156 5.71557i −0.254030 0.414651i
\(191\) 18.0502i 1.30607i 0.757330 + 0.653033i \(0.226504\pi\)
−0.757330 + 0.653033i \(0.773496\pi\)
\(192\) −25.1803 2.82718i −1.81723 0.204034i
\(193\) −15.6724 15.6724i −1.12812 1.12812i −0.990482 0.137642i \(-0.956048\pi\)
−0.137642 0.990482i \(-0.543952\pi\)
\(194\) −4.27855 1.86638i −0.307182 0.133998i
\(195\) −6.97343 + 1.23724i −0.499377 + 0.0886008i
\(196\) 7.22793 + 7.78782i 0.516281 + 0.556273i
\(197\) 3.07519 3.07519i 0.219098 0.219098i −0.589020 0.808118i \(-0.700486\pi\)
0.808118 + 0.589020i \(0.200486\pi\)
\(198\) 13.9724 + 35.5942i 0.992973 + 2.52957i
\(199\) 8.16946 0.579117 0.289559 0.957160i \(-0.406491\pi\)
0.289559 + 0.957160i \(0.406491\pi\)
\(200\) 14.0751 + 1.37546i 0.995259 + 0.0972594i
\(201\) −8.12210 −0.572889
\(202\) −1.91276 4.87270i −0.134581 0.342842i
\(203\) 7.72034 7.72034i 0.541862 0.541862i
\(204\) 11.1274 + 11.9893i 0.779072 + 0.839421i
\(205\) −3.88372 + 0.689058i −0.271251 + 0.0481259i
\(206\) 21.6908 + 9.46193i 1.51127 + 0.659244i
\(207\) −34.3708 34.3708i −2.38894 2.38894i
\(208\) −3.03121 + 2.60994i −0.210176 + 0.180967i
\(209\) 8.15031i 0.563769i
\(210\) −6.79683 11.0944i −0.469026 0.765585i
\(211\) 18.9671i 1.30575i −0.757467 0.652873i \(-0.773563\pi\)
0.757467 0.652873i \(-0.226437\pi\)
\(212\) 8.09052 + 0.301671i 0.555659 + 0.0207188i
\(213\) −8.07394 8.07394i −0.553217 0.553217i
\(214\) −4.17517 + 9.57130i −0.285409 + 0.654280i
\(215\) 1.77522 2.54102i 0.121069 0.173296i
\(216\) 11.9363 + 34.0905i 0.812160 + 2.31957i
\(217\) −1.93874 + 1.93874i −0.131610 + 0.131610i
\(218\) 11.8169 4.63868i 0.800342 0.314171i
\(219\) 51.7713 3.49838
\(220\) −13.7199 10.3667i −0.924993 0.698921i
\(221\) 2.58221 0.173698
\(222\) −28.6332 + 11.2399i −1.92174 + 0.754370i
\(223\) 0.848283 0.848283i 0.0568052 0.0568052i −0.678134 0.734939i \(-0.737211\pi\)
0.734939 + 0.678134i \(0.237211\pi\)
\(224\) −6.49790 3.43153i −0.434159 0.229279i
\(225\) −12.0954 33.0135i −0.806360 2.20090i
\(226\) −2.90253 + 6.65385i −0.193073 + 0.442608i
\(227\) −9.33049 9.33049i −0.619286 0.619286i 0.326062 0.945348i \(-0.394278\pi\)
−0.945348 + 0.326062i \(0.894278\pi\)
\(228\) −0.500309 + 13.4178i −0.0331338 + 0.888616i
\(229\) 0.978640i 0.0646704i 0.999477 + 0.0323352i \(0.0102944\pi\)
−0.999477 + 0.0323352i \(0.989706\pi\)
\(230\) 21.2546 + 5.10545i 1.40148 + 0.336643i
\(231\) 15.8204i 1.04091i
\(232\) 10.3105 21.4206i 0.676917 1.40633i
\(233\) 9.95655 + 9.95655i 0.652275 + 0.652275i 0.953540 0.301265i \(-0.0974090\pi\)
−0.301265 + 0.953540i \(0.597409\pi\)
\(234\) 9.11510 + 3.97617i 0.595873 + 0.259930i
\(235\) 17.6408 + 12.3243i 1.15076 + 0.803949i
\(236\) 12.0816 11.2130i 0.786443 0.729903i
\(237\) −9.89702 + 9.89702i −0.642881 + 0.642881i
\(238\) 1.73337 + 4.41571i 0.112358 + 0.286228i
\(239\) −7.98982 −0.516819 −0.258409 0.966036i \(-0.583198\pi\)
−0.258409 + 0.966036i \(0.583198\pi\)
\(240\) −21.9506 17.9088i −1.41690 1.15601i
\(241\) 17.0010 1.09513 0.547565 0.836763i \(-0.315555\pi\)
0.547565 + 0.836763i \(0.315555\pi\)
\(242\) 1.95599 + 4.98282i 0.125736 + 0.320308i
\(243\) 16.2511 16.2511i 1.04251 1.04251i
\(244\) −4.32048 + 4.00986i −0.276590 + 0.256705i
\(245\) 2.07523 + 11.6966i 0.132582 + 0.747267i
\(246\) 7.24225 + 3.15920i 0.461749 + 0.201423i
\(247\) 1.49881 + 1.49881i 0.0953670 + 0.0953670i
\(248\) −2.58918 + 5.37917i −0.164413 + 0.341578i
\(249\) 18.8476i 1.19442i
\(250\) 12.3938 + 9.81799i 0.783855 + 0.620944i
\(251\) 1.82190i 0.114997i −0.998346 0.0574985i \(-0.981688\pi\)
0.998346 0.0574985i \(-0.0183125\pi\)
\(252\) −0.680725 + 18.2564i −0.0428817 + 1.15004i
\(253\) −18.7945 18.7945i −1.18160 1.18160i
\(254\) −3.62921 + 8.31970i −0.227717 + 0.522025i
\(255\) 3.19482 + 18.0068i 0.200067 + 1.12763i
\(256\) −15.8225 2.37644i −0.988908 0.148527i
\(257\) −17.1141 + 17.1141i −1.06755 + 1.06755i −0.0700002 + 0.997547i \(0.522300\pi\)
−0.997547 + 0.0700002i \(0.977700\pi\)
\(258\) −5.77992 + 2.26889i −0.359842 + 0.141255i
\(259\) −8.92069 −0.554305
\(260\) −4.42942 + 0.616639i −0.274701 + 0.0382423i
\(261\) −59.1029 −3.65838
\(262\) −22.8177 + 8.95702i −1.40968 + 0.553366i
\(263\) −5.80407 + 5.80407i −0.357895 + 0.357895i −0.863036 0.505142i \(-0.831440\pi\)
0.505142 + 0.863036i \(0.331440\pi\)
\(264\) 11.3834 + 32.5115i 0.700600 + 2.00095i
\(265\) 7.42028 + 5.18400i 0.455824 + 0.318450i
\(266\) −1.55693 + 3.56915i −0.0954615 + 0.218839i
\(267\) 21.2081 + 21.2081i 1.29792 + 1.29792i
\(268\) −5.12513 0.191101i −0.313067 0.0116733i
\(269\) 2.30491i 0.140533i −0.997528 0.0702664i \(-0.977615\pi\)
0.997528 0.0702664i \(-0.0223849\pi\)
\(270\) −9.43194 + 39.2662i −0.574010 + 2.38967i
\(271\) 17.1855i 1.04394i 0.852963 + 0.521971i \(0.174803\pi\)
−0.852963 + 0.521971i \(0.825197\pi\)
\(272\) 6.73940 + 7.82721i 0.408636 + 0.474594i
\(273\) 2.90932 + 2.90932i 0.176080 + 0.176080i
\(274\) 9.84041 + 4.29256i 0.594481 + 0.259323i
\(275\) −6.61395 18.0523i −0.398836 1.08859i
\(276\) −29.7875 32.0949i −1.79300 1.93189i
\(277\) 1.69205 1.69205i 0.101666 0.101666i −0.654444 0.756110i \(-0.727097\pi\)
0.756110 + 0.654444i \(0.227097\pi\)
\(278\) 8.57907 + 21.8549i 0.514538 + 1.31077i
\(279\) 14.8420 0.888566
\(280\) −4.02784 7.16060i −0.240709 0.427928i
\(281\) −12.7153 −0.758532 −0.379266 0.925288i \(-0.623823\pi\)
−0.379266 + 0.925288i \(0.623823\pi\)
\(282\) −15.7515 40.1266i −0.937990 2.38950i
\(283\) 12.4780 12.4780i 0.741737 0.741737i −0.231175 0.972912i \(-0.574257\pi\)
0.972912 + 0.231175i \(0.0742569\pi\)
\(284\) −4.90478 5.28471i −0.291045 0.313590i
\(285\) −8.59745 + 12.3062i −0.509269 + 0.728958i
\(286\) 4.98427 + 2.17423i 0.294726 + 0.128565i
\(287\) 1.62029 + 1.62029i 0.0956425 + 0.0956425i
\(288\) 11.7373 + 38.0073i 0.691624 + 2.23960i
\(289\) 10.3322i 0.607777i
\(290\) 22.6639 13.8847i 1.33087 0.815339i
\(291\) 10.4544i 0.612848i
\(292\) 32.6682 + 1.21810i 1.91176 + 0.0712839i
\(293\) −1.44715 1.44715i −0.0845432 0.0845432i 0.663571 0.748114i \(-0.269040\pi\)
−0.748114 + 0.663571i \(0.769040\pi\)
\(294\) 9.51454 21.8114i 0.554900 1.27207i
\(295\) 18.1454 3.21940i 1.05646 0.187440i
\(296\) −18.3323 + 6.41878i −1.06555 + 0.373084i
\(297\) 34.7214 34.7214i 2.01474 2.01474i
\(298\) 18.6818 7.33349i 1.08221 0.424817i
\(299\) −6.91246 −0.399758
\(300\) −9.78035 30.1253i −0.564669 1.73929i
\(301\) −1.80074 −0.103793
\(302\) 5.88421 2.30982i 0.338598 0.132915i
\(303\) −8.28995 + 8.28995i −0.476245 + 0.476245i
\(304\) −0.631401 + 8.45501i −0.0362133 + 0.484928i
\(305\) −6.48895 + 1.15128i −0.371556 + 0.0659224i
\(306\) 10.2673 23.5371i 0.586942 1.34553i
\(307\) 2.02392 + 2.02392i 0.115511 + 0.115511i 0.762500 0.646988i \(-0.223972\pi\)
−0.646988 + 0.762500i \(0.723972\pi\)
\(308\) −0.372231 + 9.98287i −0.0212098 + 0.568827i
\(309\) 53.0003i 3.01508i
\(310\) −5.69137 + 3.48674i −0.323248 + 0.198034i
\(311\) 21.9636i 1.24544i −0.782444 0.622722i \(-0.786027\pi\)
0.782444 0.622722i \(-0.213973\pi\)
\(312\) 8.07211 + 3.88538i 0.456993 + 0.219966i
\(313\) 9.29451 + 9.29451i 0.525357 + 0.525357i 0.919184 0.393827i \(-0.128849\pi\)
−0.393827 + 0.919184i \(0.628849\pi\)
\(314\) −24.1707 10.5437i −1.36403 0.595015i
\(315\) −11.6978 + 16.7440i −0.659095 + 0.943416i
\(316\) −6.47799 + 6.01227i −0.364415 + 0.338216i
\(317\) −24.5364 + 24.5364i −1.37810 + 1.37810i −0.530279 + 0.847823i \(0.677913\pi\)
−0.847823 + 0.530279i \(0.822087\pi\)
\(318\) −6.62559 16.8785i −0.371545 0.946500i
\(319\) −32.3184 −1.80948
\(320\) −13.4297 11.8171i −0.750742 0.660596i
\(321\) 23.3869 1.30533
\(322\) −4.64016 11.8207i −0.258586 0.658740i
\(323\) 3.87024 3.87024i 0.215346 0.215346i
\(324\) 28.3683 26.3288i 1.57602 1.46271i
\(325\) −4.53602 2.10346i −0.251613 0.116679i
\(326\) −22.6018 9.85930i −1.25180 0.546056i
\(327\) −20.1042 20.1042i −1.11176 1.11176i
\(328\) 4.49561 + 2.16389i 0.248228 + 0.119481i
\(329\) 12.5014i 0.689227i
\(330\) −8.99508 + 37.4475i −0.495163 + 2.06142i
\(331\) 8.67620i 0.476887i 0.971156 + 0.238444i \(0.0766372\pi\)
−0.971156 + 0.238444i \(0.923363\pi\)
\(332\) −0.443456 + 11.8931i −0.0243378 + 0.652717i
\(333\) 34.1461 + 34.1461i 1.87120 + 1.87120i
\(334\) 3.45955 7.93079i 0.189298 0.433953i
\(335\) −4.70056 3.28393i −0.256819 0.179420i
\(336\) −1.22560 + 16.4119i −0.0668621 + 0.895341i
\(337\) −5.34559 + 5.34559i −0.291193 + 0.291193i −0.837551 0.546358i \(-0.816014\pi\)
0.546358 + 0.837551i \(0.316014\pi\)
\(338\) 1.31642 0.516756i 0.0716038 0.0281078i
\(339\) 16.2583 0.883030
\(340\) 1.59229 + 11.4377i 0.0863541 + 0.620295i
\(341\) 8.11581 0.439496
\(342\) 19.6213 7.70228i 1.06100 0.416491i
\(343\) 11.3096 11.3096i 0.610662 0.610662i
\(344\) −3.70058 + 1.29570i −0.199522 + 0.0698594i
\(345\) −8.55239 48.2036i −0.460445 2.59519i
\(346\) 6.37041 14.6037i 0.342475 0.785101i
\(347\) −4.16909 4.16909i −0.223809 0.223809i 0.586292 0.810100i \(-0.300587\pi\)
−0.810100 + 0.586292i \(0.800587\pi\)
\(348\) −53.2055 1.98387i −2.85211 0.106347i
\(349\) 2.32016i 0.124195i 0.998070 + 0.0620976i \(0.0197790\pi\)
−0.998070 + 0.0620976i \(0.980221\pi\)
\(350\) 0.552113 9.16882i 0.0295117 0.490094i
\(351\) 12.7703i 0.681627i
\(352\) 6.41811 + 20.7830i 0.342086 + 1.10774i
\(353\) −20.9071 20.9071i −1.11277 1.11277i −0.992774 0.119997i \(-0.961712\pi\)
−0.119997 0.992774i \(-0.538288\pi\)
\(354\) −33.8370 14.7603i −1.79842 0.784501i
\(355\) −1.40823 7.93714i −0.0747409 0.421260i
\(356\) 12.8836 + 13.8816i 0.682828 + 0.735722i
\(357\) 7.51246 7.51246i 0.397601 0.397601i
\(358\) −6.12951 15.6147i −0.323955 0.825265i
\(359\) −1.85375 −0.0978370 −0.0489185 0.998803i \(-0.515577\pi\)
−0.0489185 + 0.998803i \(0.515577\pi\)
\(360\) −11.9914 + 42.8265i −0.632002 + 2.25715i
\(361\) −14.5071 −0.763533
\(362\) −1.09913 2.80001i −0.0577692 0.147165i
\(363\) 8.47729 8.47729i 0.444942 0.444942i
\(364\) 1.76736 + 1.90426i 0.0926347 + 0.0998104i
\(365\) 29.9619 + 20.9322i 1.56828 + 1.09564i
\(366\) 12.1004 + 5.27842i 0.632499 + 0.275907i
\(367\) −2.30679 2.30679i −0.120414 0.120414i 0.644332 0.764746i \(-0.277135\pi\)
−0.764746 + 0.644332i \(0.777135\pi\)
\(368\) −18.0411 20.9531i −0.940458 1.09226i
\(369\) 12.4041i 0.645731i
\(370\) −21.1156 5.07207i −1.09775 0.263684i
\(371\) 5.25851i 0.273008i
\(372\) 13.3610 + 0.498191i 0.692736 + 0.0258300i
\(373\) 23.9386 + 23.9386i 1.23949 + 1.23949i 0.960209 + 0.279284i \(0.0900970\pi\)
0.279284 + 0.960209i \(0.409903\pi\)
\(374\) 5.61431 12.8704i 0.290309 0.665514i
\(375\) 9.05617 34.2341i 0.467659 1.76784i
\(376\) −8.99527 25.6909i −0.463896 1.32491i
\(377\) −5.94322 + 5.94322i −0.306092 + 0.306092i
\(378\) 21.8378 8.57235i 1.12322 0.440914i
\(379\) 20.2186 1.03856 0.519279 0.854605i \(-0.326201\pi\)
0.519279 + 0.854605i \(0.326201\pi\)
\(380\) −5.71463 + 7.56308i −0.293155 + 0.387978i
\(381\) 20.3287 1.04147
\(382\) 23.7616 9.32754i 1.21575 0.477239i
\(383\) −3.38104 + 3.38104i −0.172763 + 0.172763i −0.788192 0.615429i \(-0.788983\pi\)
0.615429 + 0.788192i \(0.288983\pi\)
\(384\) 9.29032 + 34.6088i 0.474095 + 1.76613i
\(385\) −6.39652 + 9.15586i −0.325997 + 0.466626i
\(386\) −12.5327 + 28.7303i −0.637896 + 1.46233i
\(387\) 6.89276 + 6.89276i 0.350379 + 0.350379i
\(388\) −0.245976 + 6.59684i −0.0124875 + 0.334904i
\(389\) 3.25593i 0.165082i −0.996588 0.0825410i \(-0.973696\pi\)
0.996588 0.0825410i \(-0.0263035\pi\)
\(390\) 5.23229 + 8.54061i 0.264947 + 0.432471i
\(391\) 17.8494i 0.902684i
\(392\) 6.51697 13.5394i 0.329157 0.683843i
\(393\) 38.8199 + 38.8199i 1.95820 + 1.95820i
\(394\) −5.63737 2.45912i −0.284007 0.123889i
\(395\) −9.72933 + 1.72620i −0.489536 + 0.0868546i
\(396\) 39.6366 36.7870i 1.99182 1.84862i
\(397\) 4.48113 4.48113i 0.224901 0.224901i −0.585657 0.810559i \(-0.699164\pi\)
0.810559 + 0.585657i \(0.199164\pi\)
\(398\) −4.22161 10.7544i −0.211610 0.539071i
\(399\) 8.72102 0.436597
\(400\) −5.46271 19.2395i −0.273135 0.961976i
\(401\) −15.9771 −0.797860 −0.398930 0.916981i \(-0.630618\pi\)
−0.398930 + 0.916981i \(0.630618\pi\)
\(402\) 4.19714 + 10.6921i 0.209335 + 0.533274i
\(403\) 1.49247 1.49247i 0.0743450 0.0743450i
\(404\) −5.42610 + 5.03600i −0.269958 + 0.250550i
\(405\) 42.6066 7.55936i 2.11714 0.375627i
\(406\) −14.1527 6.17368i −0.702389 0.306395i
\(407\) 18.6716 + 18.6716i 0.925517 + 0.925517i
\(408\) 10.0329 20.8439i 0.496701 1.03192i
\(409\) 8.03499i 0.397305i 0.980070 + 0.198652i \(0.0636565\pi\)
−0.980070 + 0.198652i \(0.936344\pi\)
\(410\) 2.91402 + 4.75653i 0.143913 + 0.234908i
\(411\) 24.0445i 1.18603i
\(412\) 1.24702 33.4437i 0.0614361 1.64765i
\(413\) −7.57025 7.57025i −0.372508 0.372508i
\(414\) −27.4851 + 63.0078i −1.35082 + 3.09666i
\(415\) −7.62048 + 10.9078i −0.374075 + 0.535443i
\(416\) 5.00217 + 2.64164i 0.245252 + 0.129517i
\(417\) 37.1819 37.1819i 1.82080 1.82080i
\(418\) 10.7292 4.21172i 0.524784 0.206002i
\(419\) −10.1291 −0.494838 −0.247419 0.968909i \(-0.579582\pi\)
−0.247419 + 0.968909i \(0.579582\pi\)
\(420\) −11.0926 + 14.6806i −0.541262 + 0.716339i
\(421\) 6.38901 0.311381 0.155691 0.987806i \(-0.450240\pi\)
0.155691 + 0.987806i \(0.450240\pi\)
\(422\) −24.9686 + 9.80134i −1.21545 + 0.477122i
\(423\) −47.8523 + 47.8523i −2.32666 + 2.32666i
\(424\) −3.78370 10.8064i −0.183753 0.524806i
\(425\) −5.43157 + 11.7129i −0.263470 + 0.568161i
\(426\) −6.45645 + 14.8010i −0.312816 + 0.717109i
\(427\) 2.70719 + 2.70719i 0.131010 + 0.131010i
\(428\) 14.7574 + 0.550259i 0.713326 + 0.0265978i
\(429\) 12.1788i 0.587997i
\(430\) −4.26241 1.02385i −0.205552 0.0493745i
\(431\) 20.5386i 0.989310i 0.869089 + 0.494655i \(0.164706\pi\)
−0.869089 + 0.494655i \(0.835294\pi\)
\(432\) 38.7093 33.3296i 1.86240 1.60357i
\(433\) −16.7017 16.7017i −0.802631 0.802631i 0.180875 0.983506i \(-0.442107\pi\)
−0.983506 + 0.180875i \(0.942107\pi\)
\(434\) 3.55405 + 1.55034i 0.170600 + 0.0744187i
\(435\) −48.7978 34.0914i −2.33968 1.63456i
\(436\) −12.2129 13.1590i −0.584893 0.630200i
\(437\) −10.3605 + 10.3605i −0.495609 + 0.495609i
\(438\) −26.7531 68.1527i −1.27831 3.25646i
\(439\) 26.9755 1.28747 0.643735 0.765249i \(-0.277384\pi\)
0.643735 + 0.765249i \(0.277384\pi\)
\(440\) −6.55708 + 23.4182i −0.312596 + 1.11642i
\(441\) −37.3573 −1.77892
\(442\) −1.33437 3.39927i −0.0634696 0.161687i
\(443\) −20.1664 + 20.1664i −0.958132 + 0.958132i −0.999158 0.0410258i \(-0.986937\pi\)
0.0410258 + 0.999158i \(0.486937\pi\)
\(444\) 29.5928 + 31.8851i 1.40441 + 1.51320i
\(445\) 3.69904 + 20.8488i 0.175352 + 0.988328i
\(446\) −1.55505 0.678342i −0.0736338 0.0321204i
\(447\) −31.7835 31.7835i −1.50331 1.50331i
\(448\) −1.15951 + 10.3272i −0.0547819 + 0.487916i
\(449\) 18.7329i 0.884062i −0.897000 0.442031i \(-0.854258\pi\)
0.897000 0.442031i \(-0.145742\pi\)
\(450\) −37.2092 + 32.9825i −1.75406 + 1.55481i
\(451\) 6.78274i 0.319387i
\(452\) 10.2592 + 0.382533i 0.482551 + 0.0179929i
\(453\) −10.0108 10.0108i −0.470350 0.470350i
\(454\) −7.46126 + 17.1044i −0.350174 + 0.802751i
\(455\) 0.507432 + 2.86002i 0.0237888 + 0.134080i
\(456\) 17.9220 6.27511i 0.839275 0.293859i
\(457\) −0.912019 + 0.912019i −0.0426624 + 0.0426624i −0.728116 0.685454i \(-0.759604\pi\)
0.685454 + 0.728116i \(0.259604\pi\)
\(458\) 1.28830 0.505718i 0.0601984 0.0236307i
\(459\) −32.9755 −1.53916
\(460\) −4.26250 30.6182i −0.198740 1.42758i
\(461\) −13.6853 −0.637387 −0.318693 0.947858i \(-0.603244\pi\)
−0.318693 + 0.947858i \(0.603244\pi\)
\(462\) 20.8263 8.17530i 0.968929 0.380349i
\(463\) −2.10470 + 2.10470i −0.0978137 + 0.0978137i −0.754320 0.656507i \(-0.772033\pi\)
0.656507 + 0.754320i \(0.272033\pi\)
\(464\) −33.5266 2.50369i −1.55643 0.116231i
\(465\) 12.2541 + 8.56106i 0.568272 + 0.397010i
\(466\) 7.96190 18.2521i 0.368828 0.845513i
\(467\) 28.5364 + 28.5364i 1.32051 + 1.32051i 0.913365 + 0.407143i \(0.133475\pi\)
0.407143 + 0.913365i \(0.366525\pi\)
\(468\) 0.524032 14.0540i 0.0242234 0.649647i
\(469\) 3.33113i 0.153817i
\(470\) 7.10799 29.5914i 0.327867 1.36495i
\(471\) 59.0597i 2.72133i
\(472\) −21.0042 10.1100i −0.966798 0.465353i
\(473\) 3.76906 + 3.76906i 0.173302 + 0.173302i
\(474\) 18.1430 + 7.91430i 0.833335 + 0.363516i
\(475\) −9.95132 + 3.64594i −0.456598 + 0.167287i
\(476\) 4.91720 4.56369i 0.225379 0.209176i
\(477\) −20.1282 + 20.1282i −0.921607 + 0.921607i
\(478\) 4.12879 + 10.5180i 0.188846 + 0.481081i
\(479\) −19.8088 −0.905086 −0.452543 0.891743i \(-0.649483\pi\)
−0.452543 + 0.891743i \(0.649483\pi\)
\(480\) −12.2324 + 38.1506i −0.558330 + 1.74133i
\(481\) 6.86727 0.313121
\(482\) −8.78536 22.3804i −0.400162 1.01940i
\(483\) −20.1105 + 20.1105i −0.915061 + 0.915061i
\(484\) 5.54872 5.14981i 0.252215 0.234082i
\(485\) −4.22692 + 6.05034i −0.191935 + 0.274732i
\(486\) −29.7911 12.9954i −1.35135 0.589484i
\(487\) −9.20752 9.20752i −0.417232 0.417232i 0.467016 0.884249i \(-0.345329\pi\)
−0.884249 + 0.467016i \(0.845329\pi\)
\(488\) 7.51130 + 3.61544i 0.340020 + 0.163663i
\(489\) 55.2261i 2.49741i
\(490\) 14.3252 8.77615i 0.647147 0.396466i
\(491\) 23.5043i 1.06073i −0.847768 0.530367i \(-0.822054\pi\)
0.847768 0.530367i \(-0.177946\pi\)
\(492\) 0.416360 11.1664i 0.0187710 0.503419i
\(493\) 15.3466 + 15.3466i 0.691178 + 0.691178i
\(494\) 1.19855 2.74758i 0.0539251 0.123620i
\(495\) 59.5305 10.5620i 2.67570 0.474729i
\(496\) 8.41922 + 0.628729i 0.378034 + 0.0282307i
\(497\) −3.31138 + 3.31138i −0.148536 + 0.148536i
\(498\) 24.8114 9.73963i 1.11183 0.436443i
\(499\) −22.4244 −1.00386 −0.501928 0.864910i \(-0.667376\pi\)
−0.501928 + 0.864910i \(0.667376\pi\)
\(500\) 6.52002 21.3890i 0.291584 0.956545i
\(501\) −19.3784 −0.865764
\(502\) −2.39838 + 0.941476i −0.107045 + 0.0420201i
\(503\) 24.2077 24.2077i 1.07937 1.07937i 0.0828029 0.996566i \(-0.473613\pi\)
0.996566 0.0828029i \(-0.0263872\pi\)
\(504\) 24.3848 8.53797i 1.08619 0.380312i
\(505\) −8.14949 + 1.44590i −0.362647 + 0.0643418i
\(506\) −15.0293 + 34.4536i −0.668133 + 1.53165i
\(507\) −2.23963 2.23963i −0.0994655 0.0994655i
\(508\) 12.8276 + 0.478304i 0.569135 + 0.0212213i
\(509\) 42.3216i 1.87587i −0.346808 0.937936i \(-0.612734\pi\)
0.346808 0.937936i \(-0.387266\pi\)
\(510\) 22.0536 13.5109i 0.976551 0.598271i
\(511\) 21.2330i 0.939293i
\(512\) 5.04800 + 22.0571i 0.223092 + 0.974797i
\(513\) −19.1402 19.1402i −0.845061 0.845061i
\(514\) 31.3731 + 13.6855i 1.38381 + 0.603643i
\(515\) 21.4291 30.6732i 0.944278 1.35162i
\(516\) 5.97362 + 6.43635i 0.262974 + 0.283344i
\(517\) −26.1664 + 26.1664i −1.15080 + 1.15080i
\(518\) 4.60982 + 11.7434i 0.202544 + 0.515975i
\(519\) −35.6834 −1.56633
\(520\) 3.10069 + 5.51233i 0.135974 + 0.241732i
\(521\) −13.0136 −0.570136 −0.285068 0.958507i \(-0.592016\pi\)
−0.285068 + 0.958507i \(0.592016\pi\)
\(522\) 30.5418 + 77.8043i 1.33678 + 3.40540i
\(523\) 24.0226 24.0226i 1.05043 1.05043i 0.0517748 0.998659i \(-0.483512\pi\)
0.998659 0.0517748i \(-0.0164878\pi\)
\(524\) 23.5824 + 25.4092i 1.03020 + 1.11000i
\(525\) −19.3163 + 7.07708i −0.843034 + 0.308869i
\(526\) 10.6399 + 4.64131i 0.463921 + 0.202371i
\(527\) −3.85386 3.85386i −0.167877 0.167877i
\(528\) 36.9164 31.7859i 1.60658 1.38330i
\(529\) 24.7822i 1.07749i
\(530\) 2.98985 12.4471i 0.129871 0.540666i
\(531\) 57.9539i 2.51499i
\(532\) 5.50306 + 0.205192i 0.238588 + 0.00889622i
\(533\) −1.24732 1.24732i −0.0540274 0.0540274i
\(534\) 16.9594 38.8783i 0.733905 1.68243i
\(535\) 13.5349 + 9.45580i 0.585163 + 0.408810i
\(536\) 2.39687 + 6.84559i 0.103529 + 0.295684i
\(537\) −26.5654 + 26.5654i −1.14638 + 1.14638i
\(538\) −3.03423 + 1.19108i −0.130815 + 0.0513509i
\(539\) −20.4275 −0.879877
\(540\) 56.5649 7.87465i 2.43416 0.338871i
\(541\) 27.8612 1.19785 0.598923 0.800807i \(-0.295596\pi\)
0.598923 + 0.800807i \(0.295596\pi\)
\(542\) 22.6233 8.88069i 0.971754 0.381458i
\(543\) −4.76366 + 4.76366i −0.204428 + 0.204428i
\(544\) 6.82127 12.9166i 0.292459 0.553797i
\(545\) −3.50649 19.7635i −0.150202 0.846576i
\(546\) 2.32648 5.33329i 0.0995640 0.228244i
\(547\) −15.6942 15.6942i −0.671038 0.671038i 0.286918 0.957955i \(-0.407369\pi\)
−0.957955 + 0.286918i \(0.907369\pi\)
\(548\) 0.565730 15.1723i 0.0241668 0.648129i
\(549\) 20.7249i 0.884515i
\(550\) −20.3466 + 18.0353i −0.867580 + 0.769030i
\(551\) 17.8155i 0.758967i
\(552\) −26.8576 + 55.7982i −1.14313 + 2.37493i
\(553\) 4.05908 + 4.05908i 0.172610 + 0.172610i
\(554\) −3.10183 1.35308i −0.131784 0.0574867i
\(555\) 8.49648 + 47.8884i 0.360655 + 2.03275i
\(556\) 24.3370 22.5873i 1.03212 0.957916i
\(557\) −26.1672 + 26.1672i −1.10874 + 1.10874i −0.115422 + 0.993317i \(0.536822\pi\)
−0.993317 + 0.115422i \(0.963178\pi\)
\(558\) −7.66968 19.5383i −0.324683 0.827121i
\(559\) 1.38623 0.0586314
\(560\) −7.34495 + 9.00261i −0.310381 + 0.380430i
\(561\) −31.4482 −1.32774
\(562\) 6.57072 + 16.7387i 0.277169 + 0.706080i
\(563\) −27.4350 + 27.4350i −1.15625 + 1.15625i −0.170971 + 0.985276i \(0.554690\pi\)
−0.985276 + 0.170971i \(0.945310\pi\)
\(564\) −44.6837 + 41.4713i −1.88152 + 1.74626i
\(565\) 9.40927 + 6.57356i 0.395851 + 0.276552i
\(566\) −22.8743 9.97818i −0.961478 0.419414i
\(567\) −17.7755 17.7755i −0.746499 0.746499i
\(568\) −4.42233 + 9.18766i −0.185557 + 0.385506i
\(569\) 9.90886i 0.415401i 0.978192 + 0.207701i \(0.0665980\pi\)
−0.978192 + 0.207701i \(0.933402\pi\)
\(570\) 20.6430 + 4.95854i 0.864639 + 0.207691i
\(571\) 23.0063i 0.962784i 0.876505 + 0.481392i \(0.159869\pi\)
−0.876505 + 0.481392i \(0.840131\pi\)
\(572\) 0.286548 7.68495i 0.0119812 0.321324i
\(573\) −40.4257 40.4257i −1.68881 1.68881i
\(574\) 1.29569 2.97027i 0.0540809 0.123977i
\(575\) 14.5401 31.3551i 0.606364 1.30760i
\(576\) 43.9683 35.0917i 1.83201 1.46215i
\(577\) 14.0786 14.0786i 0.586101 0.586101i −0.350472 0.936573i \(-0.613979\pi\)
0.936573 + 0.350472i \(0.113979\pi\)
\(578\) 13.6015 5.33923i 0.565749 0.222083i
\(579\) 70.2008 2.91745
\(580\) −29.9898 22.6602i −1.24526 0.940914i
\(581\) 7.73001 0.320695
\(582\) 13.7624 5.40237i 0.570469 0.223935i
\(583\) −11.0064 + 11.0064i −0.455839 + 0.455839i
\(584\) −15.2780 43.6346i −0.632207 1.80561i
\(585\) 9.00511 12.8897i 0.372315 0.532925i
\(586\) −1.15723 + 2.65287i −0.0478048 + 0.109589i
\(587\) 8.08122 + 8.08122i 0.333547 + 0.333547i 0.853932 0.520385i \(-0.174211\pi\)
−0.520385 + 0.853932i \(0.674211\pi\)
\(588\) −33.6297 1.25395i −1.38687 0.0517121i
\(589\) 4.47385i 0.184342i
\(590\) −13.6148 22.2233i −0.560513 0.914919i
\(591\) 13.7746i 0.566611i
\(592\) 17.9232 + 20.8161i 0.736637 + 0.855537i
\(593\) 9.04916 + 9.04916i 0.371605 + 0.371605i 0.868061 0.496457i \(-0.165366\pi\)
−0.496457 + 0.868061i \(0.665366\pi\)
\(594\) −63.6505 27.7655i −2.61161 1.13923i
\(595\) 7.38517 1.31029i 0.302762 0.0537168i
\(596\) −19.3079 20.8035i −0.790883 0.852146i
\(597\) −18.2966 + 18.2966i −0.748828 + 0.748828i
\(598\) 3.57206 + 9.09971i 0.146072 + 0.372115i
\(599\) −9.45761 −0.386428 −0.193214 0.981157i \(-0.561891\pi\)
−0.193214 + 0.981157i \(0.561891\pi\)
\(600\) −34.6035 + 28.4425i −1.41268 + 1.16116i
\(601\) 36.3082 1.48104 0.740522 0.672032i \(-0.234578\pi\)
0.740522 + 0.672032i \(0.234578\pi\)
\(602\) 0.930542 + 2.37053i 0.0379260 + 0.0966155i
\(603\) 12.7507 12.7507i 0.519249 0.519249i
\(604\) −6.08140 6.55248i −0.247449 0.266617i
\(605\) 8.33366 1.47858i 0.338811 0.0601127i
\(606\) 15.1969 + 6.62918i 0.617333 + 0.269292i
\(607\) −8.30758 8.30758i −0.337194 0.337194i 0.518116 0.855310i \(-0.326634\pi\)
−0.855310 + 0.518116i \(0.826634\pi\)
\(608\) 11.4566 3.53799i 0.464628 0.143484i
\(609\) 34.5814i 1.40131i
\(610\) 4.86878 + 7.94725i 0.197131 + 0.321775i
\(611\) 9.62378i 0.389337i
\(612\) −36.2904 1.35316i −1.46695 0.0546982i
\(613\) −0.566575 0.566575i −0.0228838 0.0228838i 0.695572 0.718456i \(-0.255151\pi\)
−0.718456 + 0.695572i \(0.755151\pi\)
\(614\) 1.61846 3.71021i 0.0653157 0.149732i
\(615\) 7.15485 10.2413i 0.288512 0.412970i
\(616\) 13.3340 4.66869i 0.537242 0.188107i
\(617\) 32.2437 32.2437i 1.29808 1.29808i 0.368426 0.929657i \(-0.379897\pi\)
0.929657 0.368426i \(-0.120103\pi\)
\(618\) −69.7706 + 27.3882i −2.80659 + 1.10171i
\(619\) −26.0469 −1.04691 −0.523457 0.852052i \(-0.675358\pi\)
−0.523457 + 0.852052i \(0.675358\pi\)
\(620\) 7.53107 + 5.69045i 0.302455 + 0.228534i
\(621\) 88.2740 3.54231
\(622\) −28.9134 + 11.3498i −1.15932 + 0.455087i
\(623\) 8.69813 8.69813i 0.348483 0.348483i
\(624\) 0.943485 12.6341i 0.0377696 0.505768i
\(625\) 19.0827 16.1509i 0.763306 0.646037i
\(626\) 7.43250 17.0385i 0.297062 0.680995i
\(627\) −18.2537 18.2537i −0.728982 0.728982i
\(628\) −1.38958 + 37.2673i −0.0554505 + 1.48713i
\(629\) 17.7327i 0.707050i
\(630\) 28.0870 + 6.74664i 1.11901 + 0.268793i
\(631\) 36.4532i 1.45118i −0.688128 0.725589i \(-0.741567\pi\)
0.688128 0.725589i \(-0.258433\pi\)
\(632\) 11.2622 + 5.42089i 0.447987 + 0.215631i
\(633\) 42.4792 + 42.4792i 1.68840 + 1.68840i
\(634\) 44.9796 + 19.6209i 1.78637 + 0.779246i
\(635\) 11.7650 + 8.21931i 0.466879 + 0.326173i
\(636\) −18.7954 + 17.4441i −0.745286 + 0.691705i
\(637\) −3.75655 + 3.75655i −0.148840 + 0.148840i
\(638\) 16.7007 + 42.5446i 0.661188 + 1.68436i
\(639\) 25.3502 1.00284
\(640\) −8.61641 + 23.7857i −0.340593 + 0.940211i
\(641\) 40.5177 1.60035 0.800177 0.599764i \(-0.204739\pi\)
0.800177 + 0.599764i \(0.204739\pi\)
\(642\) −12.0853 30.7870i −0.476970 1.21507i
\(643\) −0.831375 + 0.831375i −0.0327862 + 0.0327862i −0.723310 0.690524i \(-0.757380\pi\)
0.690524 + 0.723310i \(0.257380\pi\)
\(644\) −13.1631 + 12.2168i −0.518700 + 0.481409i
\(645\) 1.71510 + 9.66679i 0.0675322 + 0.380629i
\(646\) −7.09483 3.09489i −0.279142 0.121767i
\(647\) 18.6491 + 18.6491i 0.733170 + 0.733170i 0.971246 0.238076i \(-0.0765168\pi\)
−0.238076 + 0.971246i \(0.576517\pi\)
\(648\) −49.3193 23.7391i −1.93745 0.932559i
\(649\) 31.6901i 1.24394i
\(650\) −0.425024 + 7.05828i −0.0166708 + 0.276849i
\(651\) 8.68411i 0.340357i
\(652\) −1.29939 + 34.8483i −0.0508879 + 1.36476i
\(653\) −13.4285 13.4285i −0.525499 0.525499i 0.393728 0.919227i \(-0.371185\pi\)
−0.919227 + 0.393728i \(0.871185\pi\)
\(654\) −16.0766 + 36.8545i −0.628644 + 1.44112i
\(655\) 6.77082 + 38.1622i 0.264558 + 1.49112i
\(656\) 0.525456 7.03631i 0.0205156 0.274722i
\(657\) −81.2745 + 81.2745i −3.17082 + 3.17082i
\(658\) −16.4572 + 6.46020i −0.641567 + 0.251845i
\(659\) 14.8202 0.577314 0.288657 0.957433i \(-0.406791\pi\)
0.288657 + 0.957433i \(0.406791\pi\)
\(660\) 53.9449 7.50992i 2.09980 0.292323i
\(661\) 13.3113 0.517749 0.258874 0.965911i \(-0.416648\pi\)
0.258874 + 0.965911i \(0.416648\pi\)
\(662\) 11.4215 4.48348i 0.443910 0.174255i
\(663\) −5.78319 + 5.78319i −0.224601 + 0.224601i
\(664\) 15.8854 5.56204i 0.616474 0.215849i
\(665\) 5.04717 + 3.52608i 0.195721 + 0.136736i
\(666\) 27.3054 62.5959i 1.05806 2.42554i
\(667\) −41.0823 41.0823i −1.59071 1.59071i
\(668\) −12.2280 0.455945i −0.473115 0.0176410i
\(669\) 3.79968i 0.146904i
\(670\) −1.89399 + 7.88490i −0.0731713 + 0.304620i
\(671\) 11.3327i 0.437493i
\(672\) 22.2383 6.86752i 0.857860 0.264921i
\(673\) −12.2894 12.2894i −0.473722 0.473722i 0.429395 0.903117i \(-0.358727\pi\)
−0.903117 + 0.429395i \(0.858727\pi\)
\(674\) 9.79941 + 4.27468i 0.377459 + 0.164655i
\(675\) 57.9262 + 26.8617i 2.22958 + 1.03391i
\(676\) −1.36054 1.46593i −0.0523283 0.0563818i
\(677\) 13.2252 13.2252i 0.508286 0.508286i −0.405714 0.914000i \(-0.632977\pi\)
0.914000 + 0.405714i \(0.132977\pi\)
\(678\) −8.40158 21.4028i −0.322661 0.821968i
\(679\) 4.28768 0.164546
\(680\) 14.2340 8.00661i 0.545848 0.307040i
\(681\) 41.7937 1.60154
\(682\) −4.19389 10.6838i −0.160593 0.409105i
\(683\) 2.26846 2.26846i 0.0868002 0.0868002i −0.662374 0.749174i \(-0.730451\pi\)
0.749174 + 0.662374i \(0.230451\pi\)
\(684\) −20.2789 21.8497i −0.775382 0.835445i
\(685\) 9.72166 13.9154i 0.371446 0.531680i
\(686\) −20.7325 9.04390i −0.791571 0.345298i
\(687\) −2.19179 2.19179i −0.0836221 0.0836221i
\(688\) 3.61798 + 4.20196i 0.137934 + 0.160198i
\(689\) 4.04807i 0.154219i
\(690\) −59.0367 + 36.1680i −2.24749 + 1.37689i
\(691\) 27.3699i 1.04120i −0.853800 0.520601i \(-0.825708\pi\)
0.853800 0.520601i \(-0.174292\pi\)
\(692\) −22.5166 0.839576i −0.855953 0.0319159i
\(693\) −24.8361 24.8361i −0.943447 0.943447i
\(694\) −3.33388 + 7.64268i −0.126552 + 0.290112i
\(695\) 36.5519 6.48512i 1.38649 0.245995i
\(696\) 24.8827 + 71.0660i 0.943175 + 2.69375i
\(697\) −3.22084 + 3.22084i −0.121998 + 0.121998i
\(698\) 3.05430 1.19896i 0.115607 0.0453811i
\(699\) −44.5980 −1.68685
\(700\) −12.3553 + 4.01123i −0.466988 + 0.151610i
\(701\) 19.5520 0.738467 0.369234 0.929337i \(-0.379620\pi\)
0.369234 + 0.929337i \(0.379620\pi\)
\(702\) −16.8110 + 6.59911i −0.634492 + 0.249067i
\(703\) 10.2927 10.2927i 0.388198 0.388198i
\(704\) 24.0425 19.1887i 0.906137 0.723200i
\(705\) −67.1108 + 11.9070i −2.52754 + 0.448442i
\(706\) −16.7186 + 38.3263i −0.629214 + 1.44243i
\(707\) 3.39997 + 3.39997i 0.127869 + 0.127869i
\(708\) −1.94531 + 52.1712i −0.0731090 + 1.96071i
\(709\) 23.8454i 0.895532i −0.894151 0.447766i \(-0.852220\pi\)
0.894151 0.447766i \(-0.147780\pi\)
\(710\) −9.72091 + 5.95538i −0.364819 + 0.223502i
\(711\) 31.0742i 1.16537i
\(712\) 11.6163 24.1336i 0.435340 0.904444i
\(713\) 10.3166 + 10.3166i 0.386360 + 0.386360i
\(714\) −13.7717 6.00745i −0.515391 0.224823i
\(715\) 4.92413 7.04831i 0.184152 0.263592i
\(716\) −17.3881 + 16.1380i −0.649824 + 0.603106i
\(717\) 17.8942 17.8942i 0.668273 0.668273i
\(718\) 0.957934 + 2.44031i 0.0357498 + 0.0910715i
\(719\) 15.9103 0.593354 0.296677 0.954978i \(-0.404122\pi\)
0.296677 + 0.954978i \(0.404122\pi\)
\(720\) 62.5743 6.34510i 2.33200 0.236468i
\(721\) −21.7371 −0.809531
\(722\) 7.49665 + 19.0975i 0.278996 + 0.710735i
\(723\) −38.0759 + 38.0759i −1.41606 + 1.41606i
\(724\) −3.11801 + 2.89384i −0.115880 + 0.107549i
\(725\) −14.4572 39.4599i −0.536928 1.46550i
\(726\) −15.5404 6.77899i −0.576757 0.251592i
\(727\) 8.05611 + 8.05611i 0.298785 + 0.298785i 0.840538 0.541753i \(-0.182239\pi\)
−0.541753 + 0.840538i \(0.682239\pi\)
\(728\) 1.59352 3.31063i 0.0590597 0.122700i
\(729\) 14.7373i 0.545828i
\(730\) 12.0725 50.2593i 0.446825 1.86018i
\(731\) 3.57954i 0.132394i
\(732\) 0.695659 18.6569i 0.0257123 0.689578i
\(733\) −1.51240 1.51240i −0.0558618 0.0558618i 0.678624 0.734486i \(-0.262577\pi\)
−0.734486 + 0.678624i \(0.762577\pi\)
\(734\) −1.84466 + 4.22876i −0.0680877 + 0.156086i
\(735\) −30.8438 21.5482i −1.13769 0.794819i
\(736\) −18.2603 + 34.5773i −0.673082 + 1.27454i
\(737\) 6.97228 6.97228i 0.256827 0.256827i
\(738\) −16.3290 + 6.40988i −0.601079 + 0.235951i
\(739\) 3.38051 0.124354 0.0621771 0.998065i \(-0.480196\pi\)
0.0621771 + 0.998065i \(0.480196\pi\)
\(740\) 4.23463 + 30.4180i 0.155668 + 1.11819i
\(741\) −6.71356 −0.246629
\(742\) −6.92240 + 2.71736i −0.254129 + 0.0997576i
\(743\) −31.2491 + 31.2491i −1.14642 + 1.14642i −0.159167 + 0.987252i \(0.550881\pi\)
−0.987252 + 0.159167i \(0.949119\pi\)
\(744\) −6.24855 17.8461i −0.229083 0.654272i
\(745\) −5.54355 31.2450i −0.203100 1.14473i
\(746\) 19.1428 43.8836i 0.700869 1.60669i
\(747\) −29.5885 29.5885i −1.08259 1.08259i
\(748\) −19.8441 0.739927i −0.725573 0.0270544i
\(749\) 9.59171i 0.350473i
\(750\) −49.7463 + 5.76893i −1.81648 + 0.210652i
\(751\) 3.27690i 0.119576i −0.998211 0.0597879i \(-0.980958\pi\)
0.998211 0.0597879i \(-0.0190424\pi\)
\(752\) −29.1717 + 25.1175i −1.06378 + 0.915941i
\(753\) 4.08038 + 4.08038i 0.148697 + 0.148697i
\(754\) 10.8950 + 4.75258i 0.396772 + 0.173079i
\(755\) −1.74605 9.84121i −0.0635453 0.358158i
\(756\) −22.5696 24.3179i −0.820850 0.884435i
\(757\) 31.9796 31.9796i 1.16232 1.16232i 0.178353 0.983967i \(-0.442923\pi\)
0.983967 0.178353i \(-0.0570768\pi\)
\(758\) −10.4481 26.6161i −0.379491 0.966741i
\(759\) 84.1854 3.05574
\(760\) 12.9093 + 3.61459i 0.468268 + 0.131115i
\(761\) 28.7698 1.04290 0.521451 0.853281i \(-0.325391\pi\)
0.521451 + 0.853281i \(0.325391\pi\)
\(762\) −10.5050 26.7611i −0.380555 0.969454i
\(763\) −8.24534 + 8.24534i −0.298501 + 0.298501i
\(764\) −24.5579 26.4602i −0.888475 0.957298i
\(765\) −33.2840 23.2531i −1.20339 0.840716i
\(766\) 6.19804 + 2.70370i 0.223944 + 0.0976885i
\(767\) 5.82768 + 5.82768i 0.210425 + 0.210425i
\(768\) 40.7590 30.1143i 1.47076 1.08666i
\(769\) 17.7747i 0.640972i 0.947253 + 0.320486i \(0.103846\pi\)
−0.947253 + 0.320486i \(0.896154\pi\)
\(770\) 15.3584 + 3.68916i 0.553478 + 0.132948i
\(771\) 76.6584i 2.76079i
\(772\) 44.2975 + 1.65172i 1.59430 + 0.0594467i
\(773\) 4.56344 + 4.56344i 0.164136 + 0.164136i 0.784396 0.620260i \(-0.212973\pi\)
−0.620260 + 0.784396i \(0.712973\pi\)
\(774\) 5.51190 12.6356i 0.198121 0.454179i
\(775\) 3.63051 + 9.90920i 0.130412 + 0.355949i