Properties

Label 731.2.p.a.16.18
Level 731
Weight 2
Character 731.16
Analytic conductor 5.837
Analytic rank 0
Dimension 384
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 731 = 17 \cdot 43 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 731.p (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.83706438776\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(64\) over \(\Q(\zeta_{14})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 16.18
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.343890 - 1.50668i) q^{2} +(2.15737 + 0.492406i) q^{3} +(-0.349888 + 0.168497i) q^{4} +(-2.57313 + 2.05201i) q^{5} -3.41980i q^{6} +1.34370i q^{7} +(-1.55292 - 1.94730i) q^{8} +(1.70888 + 0.822954i) q^{9} +O(q^{10})\) \(q+(-0.343890 - 1.50668i) q^{2} +(2.15737 + 0.492406i) q^{3} +(-0.349888 + 0.168497i) q^{4} +(-2.57313 + 2.05201i) q^{5} -3.41980i q^{6} +1.34370i q^{7} +(-1.55292 - 1.94730i) q^{8} +(1.70888 + 0.822954i) q^{9} +(3.97659 + 3.17123i) q^{10} +(-1.74399 + 3.62143i) q^{11} +(-0.837806 + 0.191224i) q^{12} +(3.19939 + 4.01190i) q^{13} +(2.02452 - 0.462084i) q^{14} +(-6.56163 + 3.15991i) q^{15} +(-2.88419 + 3.61666i) q^{16} +(3.77257 + 1.66365i) q^{17} +(0.652261 - 2.85774i) q^{18} +(6.58818 - 3.17270i) q^{19} +(0.554551 - 1.15154i) q^{20} +(-0.661644 + 2.89885i) q^{21} +(6.05607 + 1.38226i) q^{22} +(-2.59078 + 5.37982i) q^{23} +(-2.39137 - 4.96572i) q^{24} +(1.29769 - 5.68553i) q^{25} +(4.94442 - 6.20010i) q^{26} +(-1.90877 - 1.52219i) q^{27} +(-0.226409 - 0.470143i) q^{28} +(2.98308 - 0.680868i) q^{29} +(7.01746 + 8.79961i) q^{30} +(-0.750690 + 0.171340i) q^{31} +(1.95291 + 0.940474i) q^{32} +(-5.54564 + 6.95402i) q^{33} +(1.20924 - 6.25617i) q^{34} +(-2.75727 - 3.45751i) q^{35} -0.736582 q^{36} -4.93950i q^{37} +(-7.04585 - 8.83522i) q^{38} +(4.92678 + 10.2306i) q^{39} +(7.99176 + 1.82407i) q^{40} +(6.19579 - 1.41415i) q^{41} +4.59518 q^{42} +(-0.211558 + 6.55402i) q^{43} -1.56095i q^{44} +(-6.08589 + 1.38906i) q^{45} +(8.99661 + 2.05342i) q^{46} +(-6.77338 + 3.26189i) q^{47} +(-8.00313 + 6.38228i) q^{48} +5.19448 q^{49} -9.01254 q^{50} +(7.31964 + 5.44674i) q^{51} +(-1.79542 - 0.864628i) q^{52} +(-4.22317 + 5.29569i) q^{53} +(-1.63705 + 3.39937i) q^{54} +(-2.94368 - 12.8971i) q^{55} +(2.61659 - 2.08666i) q^{56} +(15.7754 - 3.60063i) q^{57} +(-2.05170 - 4.26040i) q^{58} +(-2.14838 + 2.69398i) q^{59} +(1.76340 - 2.21123i) q^{60} +(-11.2682 - 2.57188i) q^{61} +(0.516310 + 1.07213i) q^{62} +(-1.10580 + 2.29622i) q^{63} +(-1.31330 + 5.75396i) q^{64} +(-16.4649 - 3.75801i) q^{65} +(12.3846 + 5.96409i) q^{66} +(-2.13783 + 1.02953i) q^{67} +(-1.60029 + 0.0535764i) q^{68} +(-8.23833 + 10.3305i) q^{69} +(-4.26117 + 5.34334i) q^{70} +(-5.80331 - 12.0507i) q^{71} +(-1.05122 - 4.60569i) q^{72} +(6.69850 - 5.34188i) q^{73} +(-7.44225 + 1.69864i) q^{74} +(5.59918 - 11.6268i) q^{75} +(-1.77053 + 2.22018i) q^{76} +(-4.86610 - 2.34339i) q^{77} +(13.7199 - 10.9413i) q^{78} +6.88268i q^{79} -15.2245i q^{80} +(-6.91613 - 8.67256i) q^{81} +(-4.26134 - 8.84877i) q^{82} +(3.58877 - 15.7234i) q^{83} +(-0.256947 - 1.12576i) q^{84} +(-13.1211 + 3.46054i) q^{85} +(9.94757 - 1.93511i) q^{86} +6.77087 q^{87} +(9.76030 - 2.22772i) q^{88} +(-2.20363 + 9.65473i) q^{89} +(4.18575 + 8.69180i) q^{90} +(-5.39078 + 4.29900i) q^{91} -2.31887i q^{92} -1.70389 q^{93} +(7.24392 + 9.08358i) q^{94} +(-10.4419 + 21.6828i) q^{95} +(3.75007 + 2.99058i) q^{96} +(-0.00894515 + 0.0185748i) q^{97} +(-1.78633 - 7.82642i) q^{98} +(-5.96054 + 4.75337i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} + O(q^{10}) \) \( 384q - 12q^{2} - 72q^{4} - 8q^{8} + 62q^{9} - 18q^{13} - 12q^{15} - 20q^{16} - 14q^{17} + 30q^{18} + 8q^{19} + 20q^{21} + 46q^{25} + 2q^{26} - 30q^{30} + 50q^{32} - 90q^{33} + 8q^{34} + 52q^{35} - 328q^{36} - 46q^{38} + 184q^{42} + 60q^{43} - 2q^{47} - 340q^{49} - 172q^{50} - 68q^{51} + 38q^{52} - 8q^{53} - 28q^{55} + 10q^{59} + 58q^{60} - 44q^{64} + 90q^{66} - 104q^{67} + 60q^{68} - 2q^{69} + 40q^{70} - 164q^{72} - 72q^{76} + 94q^{77} + 120q^{81} - 66q^{83} + 112q^{84} - 96q^{85} - 136q^{86} + 72q^{87} - 6q^{89} - 220q^{93} - 142q^{94} + 124q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).

\(n\) \(173\) \(562\)
\(\chi(n)\) \(-1\) \(e\left(\frac{4}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.343890 1.50668i −0.243167 1.06538i −0.938115 0.346324i \(-0.887430\pi\)
0.694948 0.719060i \(-0.255427\pi\)
\(3\) 2.15737 + 0.492406i 1.24556 + 0.284291i 0.793982 0.607941i \(-0.208004\pi\)
0.451577 + 0.892232i \(0.350862\pi\)
\(4\) −0.349888 + 0.168497i −0.174944 + 0.0842485i
\(5\) −2.57313 + 2.05201i −1.15074 + 0.917685i −0.997511 0.0705057i \(-0.977539\pi\)
−0.153229 + 0.988191i \(0.548967\pi\)
\(6\) 3.41980i 1.39613i
\(7\) 1.34370i 0.507870i 0.967221 + 0.253935i \(0.0817249\pi\)
−0.967221 + 0.253935i \(0.918275\pi\)
\(8\) −1.55292 1.94730i −0.549041 0.688476i
\(9\) 1.70888 + 0.822954i 0.569627 + 0.274318i
\(10\) 3.97659 + 3.17123i 1.25751 + 1.00283i
\(11\) −1.74399 + 3.62143i −0.525832 + 1.09190i 0.453800 + 0.891103i \(0.350068\pi\)
−0.979633 + 0.200798i \(0.935646\pi\)
\(12\) −0.837806 + 0.191224i −0.241854 + 0.0552016i
\(13\) 3.19939 + 4.01190i 0.887350 + 1.11270i 0.992978 + 0.118296i \(0.0377431\pi\)
−0.105629 + 0.994406i \(0.533685\pi\)
\(14\) 2.02452 0.462084i 0.541076 0.123497i
\(15\) −6.56163 + 3.15991i −1.69420 + 0.815886i
\(16\) −2.88419 + 3.61666i −0.721047 + 0.904165i
\(17\) 3.77257 + 1.66365i 0.914982 + 0.403494i
\(18\) 0.652261 2.85774i 0.153739 0.673576i
\(19\) 6.58818 3.17270i 1.51143 0.727867i 0.519480 0.854483i \(-0.326126\pi\)
0.991952 + 0.126616i \(0.0404115\pi\)
\(20\) 0.554551 1.15154i 0.124001 0.257491i
\(21\) −0.661644 + 2.89885i −0.144383 + 0.632582i
\(22\) 6.05607 + 1.38226i 1.29116 + 0.294699i
\(23\) −2.59078 + 5.37982i −0.540216 + 1.12177i 0.434983 + 0.900439i \(0.356754\pi\)
−0.975199 + 0.221331i \(0.928960\pi\)
\(24\) −2.39137 4.96572i −0.488136 1.01362i
\(25\) 1.29769 5.68553i 0.259537 1.13711i
\(26\) 4.94442 6.20010i 0.969680 1.21594i
\(27\) −1.90877 1.52219i −0.367343 0.292946i
\(28\) −0.226409 0.470143i −0.0427873 0.0888487i
\(29\) 2.98308 0.680868i 0.553944 0.126434i 0.0636197 0.997974i \(-0.479736\pi\)
0.490324 + 0.871540i \(0.336878\pi\)
\(30\) 7.01746 + 8.79961i 1.28121 + 1.60658i
\(31\) −0.750690 + 0.171340i −0.134828 + 0.0307736i −0.289402 0.957208i \(-0.593457\pi\)
0.154574 + 0.987981i \(0.450599\pi\)
\(32\) 1.95291 + 0.940474i 0.345230 + 0.166254i
\(33\) −5.54564 + 6.95402i −0.965372 + 1.21054i
\(34\) 1.20924 6.25617i 0.207383 1.07292i
\(35\) −2.75727 3.45751i −0.466064 0.584426i
\(36\) −0.736582 −0.122764
\(37\) 4.93950i 0.812049i −0.913862 0.406024i \(-0.866915\pi\)
0.913862 0.406024i \(-0.133085\pi\)
\(38\) −7.04585 8.83522i −1.14299 1.43326i
\(39\) 4.92678 + 10.2306i 0.788916 + 1.63820i
\(40\) 7.99176 + 1.82407i 1.26361 + 0.288410i
\(41\) 6.19579 1.41415i 0.967620 0.220853i 0.290622 0.956838i \(-0.406138\pi\)
0.676998 + 0.735985i \(0.263281\pi\)
\(42\) 4.59518 0.709051
\(43\) −0.211558 + 6.55402i −0.0322623 + 0.999479i
\(44\) 1.56095i 0.235322i
\(45\) −6.08589 + 1.38906i −0.907230 + 0.207069i
\(46\) 8.99661 + 2.05342i 1.32648 + 0.302760i
\(47\) −6.77338 + 3.26189i −0.987999 + 0.475795i −0.856849 0.515568i \(-0.827581\pi\)
−0.131150 + 0.991363i \(0.541867\pi\)
\(48\) −8.00313 + 6.38228i −1.15515 + 0.921203i
\(49\) 5.19448 0.742068
\(50\) −9.01254 −1.27457
\(51\) 7.31964 + 5.44674i 1.02495 + 0.762697i
\(52\) −1.79542 0.864628i −0.248980 0.119902i
\(53\) −4.22317 + 5.29569i −0.580097 + 0.727419i −0.982129 0.188207i \(-0.939733\pi\)
0.402032 + 0.915626i \(0.368304\pi\)
\(54\) −1.63705 + 3.39937i −0.222774 + 0.462596i
\(55\) −2.94368 12.8971i −0.396925 1.73904i
\(56\) 2.61659 2.08666i 0.349656 0.278841i
\(57\) 15.7754 3.60063i 2.08950 0.476915i
\(58\) −2.05170 4.26040i −0.269402 0.559418i
\(59\) −2.14838 + 2.69398i −0.279695 + 0.350727i −0.901759 0.432240i \(-0.857723\pi\)
0.622063 + 0.782967i \(0.286295\pi\)
\(60\) 1.76340 2.21123i 0.227653 0.285468i
\(61\) −11.2682 2.57188i −1.44274 0.329296i −0.571681 0.820476i \(-0.693709\pi\)
−0.871058 + 0.491180i \(0.836566\pi\)
\(62\) 0.516310 + 1.07213i 0.0655714 + 0.136160i
\(63\) −1.10580 + 2.29622i −0.139318 + 0.289296i
\(64\) −1.31330 + 5.75396i −0.164163 + 0.719245i
\(65\) −16.4649 3.75801i −2.04222 0.466123i
\(66\) 12.3846 + 5.96409i 1.52444 + 0.734129i
\(67\) −2.13783 + 1.02953i −0.261178 + 0.125777i −0.559891 0.828566i \(-0.689157\pi\)
0.298713 + 0.954343i \(0.403443\pi\)
\(68\) −1.60029 + 0.0535764i −0.194064 + 0.00649710i
\(69\) −8.23833 + 10.3305i −0.991779 + 1.24365i
\(70\) −4.26117 + 5.34334i −0.509307 + 0.638651i
\(71\) −5.80331 12.0507i −0.688727 1.43016i −0.892459 0.451129i \(-0.851022\pi\)
0.203732 0.979027i \(-0.434693\pi\)
\(72\) −1.05122 4.60569i −0.123887 0.542786i
\(73\) 6.69850 5.34188i 0.784000 0.625219i −0.147458 0.989068i \(-0.547109\pi\)
0.931458 + 0.363849i \(0.118538\pi\)
\(74\) −7.44225 + 1.69864i −0.865144 + 0.197463i
\(75\) 5.59918 11.6268i 0.646538 1.34255i
\(76\) −1.77053 + 2.22018i −0.203094 + 0.254672i
\(77\) −4.86610 2.34339i −0.554544 0.267054i
\(78\) 13.7199 10.9413i 1.55347 1.23885i
\(79\) 6.88268i 0.774362i 0.922004 + 0.387181i \(0.126551\pi\)
−0.922004 + 0.387181i \(0.873449\pi\)
\(80\) 15.2245i 1.70215i
\(81\) −6.91613 8.67256i −0.768459 0.963617i
\(82\) −4.26134 8.84877i −0.470586 0.977183i
\(83\) 3.58877 15.7234i 0.393918 1.72587i −0.256724 0.966485i \(-0.582643\pi\)
0.650643 0.759384i \(-0.274500\pi\)
\(84\) −0.256947 1.12576i −0.0280352 0.122830i
\(85\) −13.1211 + 3.46054i −1.42319 + 0.375349i
\(86\) 9.94757 1.93511i 1.07267 0.208669i
\(87\) 6.77087 0.725914
\(88\) 9.76030 2.22772i 1.04045 0.237476i
\(89\) −2.20363 + 9.65473i −0.233584 + 1.02340i 0.713056 + 0.701107i \(0.247311\pi\)
−0.946640 + 0.322292i \(0.895547\pi\)
\(90\) 4.18575 + 8.69180i 0.441217 + 0.916196i
\(91\) −5.39078 + 4.29900i −0.565107 + 0.450658i
\(92\) 2.31887i 0.241759i
\(93\) −1.70389 −0.176685
\(94\) 7.24392 + 9.08358i 0.747153 + 0.936900i
\(95\) −10.4419 + 21.6828i −1.07131 + 2.22460i
\(96\) 3.75007 + 2.99058i 0.382740 + 0.305225i
\(97\) −0.00894515 + 0.0185748i −0.000908242 + 0.00188598i −0.901422 0.432941i \(-0.857476\pi\)
0.900514 + 0.434826i \(0.143190\pi\)
\(98\) −1.78633 7.82642i −0.180446 0.790588i
\(99\) −5.96054 + 4.75337i −0.599056 + 0.477732i
\(100\) 0.503951 + 2.20795i 0.0503951 + 0.220795i
\(101\) 7.51719 3.62009i 0.747988 0.360212i −0.0207426 0.999785i \(-0.506603\pi\)
0.768730 + 0.639573i \(0.220889\pi\)
\(102\) 5.68935 12.9014i 0.563330 1.27743i
\(103\) 5.55363 6.96403i 0.547215 0.686186i −0.428922 0.903342i \(-0.641106\pi\)
0.976137 + 0.217156i \(0.0696779\pi\)
\(104\) 2.84399 12.4603i 0.278876 1.22184i
\(105\) −4.24597 8.81684i −0.414364 0.860435i
\(106\) 9.43122 + 4.54184i 0.916041 + 0.441142i
\(107\) 17.8974 + 4.08497i 1.73021 + 0.394909i 0.967707 0.252077i \(-0.0811135\pi\)
0.762502 + 0.646986i \(0.223971\pi\)
\(108\) 0.924339 + 0.210974i 0.0889446 + 0.0203010i
\(109\) 6.02380 12.5086i 0.576976 1.19810i −0.384478 0.923134i \(-0.625618\pi\)
0.961453 0.274968i \(-0.0886673\pi\)
\(110\) −18.4195 + 8.87036i −1.75623 + 0.845756i
\(111\) 2.43224 10.6563i 0.230858 1.01145i
\(112\) −4.85969 3.87548i −0.459198 0.366198i
\(113\) 3.04818 + 2.43084i 0.286748 + 0.228674i 0.756291 0.654236i \(-0.227010\pi\)
−0.469542 + 0.882910i \(0.655581\pi\)
\(114\) −10.8500 22.5303i −1.01620 2.11015i
\(115\) −4.37298 19.1593i −0.407783 1.78661i
\(116\) −0.929018 + 0.740867i −0.0862572 + 0.0687878i
\(117\) 2.16576 + 9.48881i 0.200224 + 0.877241i
\(118\) 4.79778 + 2.31049i 0.441672 + 0.212698i
\(119\) −2.23544 + 5.06919i −0.204922 + 0.464692i
\(120\) 16.3430 + 7.87038i 1.49191 + 0.718464i
\(121\) −3.21486 4.03131i −0.292260 0.366483i
\(122\) 17.8619i 1.61714i
\(123\) 14.0630 1.26801
\(124\) 0.233787 0.186439i 0.0209947 0.0167427i
\(125\) 1.18772 + 2.46633i 0.106233 + 0.220595i
\(126\) 3.83994 + 0.876441i 0.342089 + 0.0780796i
\(127\) −0.656183 2.87493i −0.0582268 0.255108i 0.937434 0.348162i \(-0.113194\pi\)
−0.995661 + 0.0930540i \(0.970337\pi\)
\(128\) 13.4562 1.18937
\(129\) −3.68365 + 14.0353i −0.324327 + 1.23574i
\(130\) 26.0997i 2.28909i
\(131\) −4.98294 + 1.13732i −0.435362 + 0.0993685i −0.434584 0.900631i \(-0.643105\pi\)
−0.000777532 1.00000i \(0.500247\pi\)
\(132\) 0.768621 3.36755i 0.0668999 0.293107i
\(133\) 4.26315 + 8.85251i 0.369662 + 0.767610i
\(134\) 2.28635 + 2.86699i 0.197510 + 0.247670i
\(135\) 8.03507 0.691548
\(136\) −2.61888 9.92985i −0.224567 0.851478i
\(137\) −8.24872 10.3436i −0.704735 0.883710i 0.292632 0.956225i \(-0.405469\pi\)
−0.997367 + 0.0725149i \(0.976898\pi\)
\(138\) 18.3979 + 8.85997i 1.56613 + 0.754210i
\(139\) −11.8549 9.45399i −1.00552 0.801877i −0.0252805 0.999680i \(-0.508048\pi\)
−0.980242 + 0.197803i \(0.936619\pi\)
\(140\) 1.54732 + 0.745148i 0.130772 + 0.0629765i
\(141\) −16.2189 + 3.70185i −1.36587 + 0.311752i
\(142\) −16.1609 + 12.8879i −1.35619 + 1.08152i
\(143\) −20.1085 + 4.58964i −1.68156 + 0.383805i
\(144\) −7.90508 + 3.80688i −0.658756 + 0.317240i
\(145\) −6.27872 + 7.87326i −0.521419 + 0.653839i
\(146\) −10.3520 8.25548i −0.856741 0.683228i
\(147\) 11.2064 + 2.55779i 0.924290 + 0.210963i
\(148\) 0.832291 + 1.72827i 0.0684139 + 0.142063i
\(149\) 15.3450 + 7.38979i 1.25712 + 0.605395i 0.939410 0.342795i \(-0.111374\pi\)
0.317705 + 0.948190i \(0.397088\pi\)
\(150\) −19.4434 4.43783i −1.58755 0.362347i
\(151\) 2.63179 11.5306i 0.214172 0.938350i −0.747524 0.664234i \(-0.768758\pi\)
0.961697 0.274116i \(-0.0883851\pi\)
\(152\) −16.4091 7.90222i −1.33096 0.640955i
\(153\) 5.07777 + 5.94763i 0.410513 + 0.480837i
\(154\) −1.85734 + 8.13753i −0.149669 + 0.655741i
\(155\) 1.58004 1.98130i 0.126912 0.159142i
\(156\) −3.44764 2.74940i −0.276032 0.220128i
\(157\) −0.581805 + 0.280182i −0.0464331 + 0.0223610i −0.456956 0.889489i \(-0.651060\pi\)
0.410523 + 0.911850i \(0.365346\pi\)
\(158\) 10.3700 2.36688i 0.824992 0.188299i
\(159\) −11.7186 + 9.34525i −0.929344 + 0.741127i
\(160\) −6.95497 + 1.58743i −0.549839 + 0.125497i
\(161\) −7.22884 3.48123i −0.569713 0.274359i
\(162\) −10.6884 + 13.4028i −0.839759 + 1.05302i
\(163\) 1.02240 2.12304i 0.0800807 0.166289i −0.857084 0.515177i \(-0.827726\pi\)
0.937165 + 0.348888i \(0.113441\pi\)
\(164\) −1.92955 + 1.53877i −0.150673 + 0.120157i
\(165\) 29.2733i 2.27892i
\(166\) −24.9243 −1.93450
\(167\) −1.05935 + 0.844800i −0.0819746 + 0.0653726i −0.663620 0.748070i \(-0.730981\pi\)
0.581645 + 0.813443i \(0.302409\pi\)
\(168\) 6.67243 3.21327i 0.514789 0.247909i
\(169\) −2.96652 + 12.9972i −0.228194 + 0.999783i
\(170\) 9.72616 + 18.5793i 0.745962 + 1.42497i
\(171\) 13.8694 1.06062
\(172\) −1.03031 2.32882i −0.0785606 0.177571i
\(173\) 5.75053i 0.437204i −0.975814 0.218602i \(-0.929850\pi\)
0.975814 0.218602i \(-0.0701497\pi\)
\(174\) −2.32844 10.2015i −0.176518 0.773377i
\(175\) 7.63964 + 1.74370i 0.577502 + 0.131811i
\(176\) −8.06748 16.7523i −0.608109 1.26275i
\(177\) −5.96139 + 4.75405i −0.448086 + 0.357336i
\(178\) 15.3044 1.14711
\(179\) 17.4477 1.30410 0.652051 0.758175i \(-0.273909\pi\)
0.652051 + 0.758175i \(0.273909\pi\)
\(180\) 1.89532 1.51147i 0.141269 0.112658i
\(181\) −9.12695 + 18.9523i −0.678401 + 1.40871i 0.222606 + 0.974909i \(0.428544\pi\)
−0.901007 + 0.433805i \(0.857171\pi\)
\(182\) 8.33106 + 6.64380i 0.617539 + 0.492471i
\(183\) −23.0432 11.0970i −1.70340 0.820315i
\(184\) 14.4994 3.30940i 1.06891 0.243972i
\(185\) 10.1359 + 12.7100i 0.745205 + 0.934458i
\(186\) 0.585950 + 2.56721i 0.0429639 + 0.188237i
\(187\) −12.6041 + 10.7607i −0.921703 + 0.786901i
\(188\) 1.82030 2.28259i 0.132759 0.166475i
\(189\) 2.04537 2.56481i 0.148778 0.186562i
\(190\) 36.2598 + 8.27607i 2.63057 + 0.600409i
\(191\) 15.7408 7.58036i 1.13896 0.548496i 0.233263 0.972414i \(-0.425060\pi\)
0.905701 + 0.423918i \(0.139345\pi\)
\(192\) −5.66657 + 11.7667i −0.408949 + 0.849192i
\(193\) −0.456825 0.104267i −0.0328830 0.00750533i 0.206048 0.978542i \(-0.433940\pi\)
−0.238931 + 0.971037i \(0.576797\pi\)
\(194\) 0.0310624 + 0.00708979i 0.00223015 + 0.000509018i
\(195\) −33.6704 16.2148i −2.41119 1.16117i
\(196\) −1.81748 + 0.875254i −0.129820 + 0.0625181i
\(197\) −16.3659 3.73542i −1.16602 0.266138i −0.404664 0.914466i \(-0.632611\pi\)
−0.761361 + 0.648328i \(0.775469\pi\)
\(198\) 9.21158 + 7.34599i 0.654638 + 0.522057i
\(199\) 12.7969 + 10.2052i 0.907151 + 0.723429i 0.961416 0.275098i \(-0.0887103\pi\)
−0.0542655 + 0.998527i \(0.517282\pi\)
\(200\) −13.0867 + 6.30221i −0.925367 + 0.445633i
\(201\) −5.11904 + 1.16839i −0.361070 + 0.0824118i
\(202\) −8.03940 10.0811i −0.565650 0.709303i
\(203\) 0.914881 + 4.00835i 0.0642120 + 0.281331i
\(204\) −3.47881 0.672410i −0.243566 0.0470781i
\(205\) −13.0408 + 16.3526i −0.910806 + 1.14212i
\(206\) −12.4024 5.97268i −0.864116 0.416136i
\(207\) −8.85468 + 7.06137i −0.615443 + 0.490799i
\(208\) −23.7373 −1.64589
\(209\) 29.3918i 2.03307i
\(210\) −11.8240 + 9.42933i −0.815934 + 0.650686i
\(211\) 2.99495 + 6.21908i 0.206181 + 0.428139i 0.978259 0.207389i \(-0.0664966\pi\)
−0.772077 + 0.635528i \(0.780782\pi\)
\(212\) 0.585328 2.56449i 0.0402005 0.176130i
\(213\) −6.58606 28.8554i −0.451270 1.97714i
\(214\) 28.3705i 1.93937i
\(215\) −12.9045 17.2985i −0.880082 1.17975i
\(216\) 6.08080i 0.413746i
\(217\) −0.230229 1.00870i −0.0156290 0.0684750i
\(218\) −20.9179 4.77438i −1.41674 0.323362i
\(219\) 17.0815 8.22603i 1.15426 0.555863i
\(220\) 3.20308 + 4.01653i 0.215951 + 0.270795i
\(221\) 5.39550 + 20.4578i 0.362941 + 1.37614i
\(222\) −16.8921 −1.13372
\(223\) 14.5887 + 18.2937i 0.976934 + 1.22504i 0.974350 + 0.225039i \(0.0722511\pi\)
0.00258409 + 0.999997i \(0.499177\pi\)
\(224\) −1.26371 + 2.62413i −0.0844353 + 0.175332i
\(225\) 6.89652 8.64797i 0.459768 0.576531i
\(226\) 2.61426 5.42857i 0.173898 0.361103i
\(227\) 9.97121 2.27586i 0.661812 0.151054i 0.121595 0.992580i \(-0.461199\pi\)
0.540217 + 0.841526i \(0.318342\pi\)
\(228\) −4.91292 + 3.91792i −0.325366 + 0.259471i
\(229\) −2.94102 12.8855i −0.194348 0.851496i −0.974228 0.225566i \(-0.927577\pi\)
0.779880 0.625930i \(-0.215280\pi\)
\(230\) −27.3631 + 13.1774i −1.80427 + 0.868890i
\(231\) −9.34409 7.45166i −0.614796 0.490283i
\(232\) −5.95835 4.75162i −0.391185 0.311959i
\(233\) −15.4784 3.53284i −1.01402 0.231444i −0.316949 0.948443i \(-0.602658\pi\)
−0.697075 + 0.716998i \(0.745516\pi\)
\(234\) 13.5518 6.52621i 0.885910 0.426632i
\(235\) 10.7354 22.2923i 0.700300 1.45419i
\(236\) 0.297764 1.30459i 0.0193828 0.0849214i
\(237\) −3.38907 + 14.8485i −0.220144 + 0.964513i
\(238\) 8.40639 + 1.62485i 0.544906 + 0.105323i
\(239\) −6.40524 + 3.08460i −0.414320 + 0.199526i −0.629419 0.777066i \(-0.716707\pi\)
0.215099 + 0.976592i \(0.430993\pi\)
\(240\) 7.49664 32.8449i 0.483906 2.12013i
\(241\) 2.25069 + 1.79486i 0.144980 + 0.115617i 0.693294 0.720655i \(-0.256159\pi\)
−0.548314 + 0.836272i \(0.684730\pi\)
\(242\) −4.96833 + 6.23009i −0.319377 + 0.400486i
\(243\) −7.47239 15.5166i −0.479354 0.995389i
\(244\) 4.37594 0.998780i 0.280141 0.0639403i
\(245\) −13.3661 + 10.6591i −0.853928 + 0.680985i
\(246\) −4.83611 21.1884i −0.308339 1.35092i
\(247\) 33.8067 + 16.2804i 2.15107 + 1.03590i
\(248\) 1.49942 + 1.19574i 0.0952130 + 0.0759298i
\(249\) 15.4846 32.1541i 0.981297 2.03768i
\(250\) 3.30753 2.63766i 0.209186 0.166820i
\(251\) −6.41101 −0.404660 −0.202330 0.979317i \(-0.564851\pi\)
−0.202330 + 0.979317i \(0.564851\pi\)
\(252\) 0.989742i 0.0623479i
\(253\) −14.9643 18.7647i −0.940799 1.17972i
\(254\) −4.10594 + 1.97732i −0.257630 + 0.124068i
\(255\) −30.0112 + 1.00475i −1.87937 + 0.0629197i
\(256\) −2.00083 8.76620i −0.125052 0.547888i
\(257\) −0.546181 −0.0340699 −0.0170349 0.999855i \(-0.505423\pi\)
−0.0170349 + 0.999855i \(0.505423\pi\)
\(258\) 22.4135 + 0.723486i 1.39540 + 0.0450423i
\(259\) 6.63719 0.412415
\(260\) 6.39408 1.45941i 0.396544 0.0905085i
\(261\) 5.65805 + 1.29141i 0.350225 + 0.0799365i
\(262\) 3.42717 + 7.11659i 0.211731 + 0.439664i
\(263\) 15.4274 + 19.3454i 0.951297 + 1.19289i 0.981133 + 0.193334i \(0.0619301\pi\)
−0.0298359 + 0.999555i \(0.509498\pi\)
\(264\) 22.1535 1.36346
\(265\) 22.2925i 1.36942i
\(266\) 11.8719 9.46749i 0.727910 0.580489i
\(267\) −9.50809 + 19.7438i −0.581886 + 1.20830i
\(268\) 0.574529 0.720437i 0.0350950 0.0440077i
\(269\) 10.7953 22.4167i 0.658201 1.36677i −0.258037 0.966135i \(-0.583076\pi\)
0.916238 0.400634i \(-0.131210\pi\)
\(270\) −2.76318 12.1063i −0.168162 0.736765i
\(271\) −6.85386 8.59446i −0.416342 0.522077i 0.528795 0.848749i \(-0.322644\pi\)
−0.945137 + 0.326673i \(0.894072\pi\)
\(272\) −16.8976 + 8.84581i −1.02457 + 0.536356i
\(273\) −13.7468 + 6.62010i −0.831993 + 0.400666i
\(274\) −12.7478 + 15.9852i −0.770122 + 0.965703i
\(275\) 18.3266 + 14.6150i 1.10514 + 0.881317i
\(276\) 1.14183 5.00266i 0.0687298 0.301125i
\(277\) 1.33991 + 2.78234i 0.0805071 + 0.167175i 0.937337 0.348425i \(-0.113283\pi\)
−0.856830 + 0.515600i \(0.827569\pi\)
\(278\) −10.1674 + 21.1127i −0.609797 + 1.26626i
\(279\) −1.42385 0.324983i −0.0852434 0.0194562i
\(280\) −2.45099 + 10.7385i −0.146475 + 0.641748i
\(281\) −5.50254 2.64988i −0.328254 0.158079i 0.262497 0.964933i \(-0.415454\pi\)
−0.590751 + 0.806854i \(0.701168\pi\)
\(282\) 11.1550 + 23.1636i 0.664271 + 1.37937i
\(283\) 20.1961 + 4.60962i 1.20053 + 0.274014i 0.775608 0.631215i \(-0.217444\pi\)
0.424924 + 0.905229i \(0.360301\pi\)
\(284\) 4.06101 + 3.23855i 0.240977 + 0.192173i
\(285\) −33.2037 + 41.6361i −1.96682 + 2.46631i
\(286\) 13.8302 + 28.7188i 0.817798 + 1.69818i
\(287\) 1.90019 + 8.32527i 0.112165 + 0.491425i
\(288\) 2.56333 + 3.21432i 0.151046 + 0.189405i
\(289\) 11.4645 + 12.5525i 0.674385 + 0.738380i
\(290\) 14.0217 + 6.75248i 0.823381 + 0.396519i
\(291\) −0.0284443 + 0.0356681i −0.00166744 + 0.00209090i
\(292\) −1.44363 + 2.99773i −0.0844822 + 0.175429i
\(293\) −10.9987 13.7919i −0.642550 0.805733i 0.348769 0.937209i \(-0.386600\pi\)
−0.991319 + 0.131476i \(0.958028\pi\)
\(294\) 17.7641i 1.03602i
\(295\) 11.3405i 0.660268i
\(296\) −9.61871 + 7.67066i −0.559076 + 0.445848i
\(297\) 8.84138 4.25778i 0.513029 0.247062i
\(298\) 5.85704 25.6614i 0.339289 1.48652i
\(299\) −29.8722 + 6.81814i −1.72755 + 0.394303i
\(300\) 5.01153i 0.289341i
\(301\) −8.80662 0.284270i −0.507605 0.0163850i
\(302\) −18.2780 −1.05178
\(303\) 17.9999 4.10836i 1.03407 0.236019i
\(304\) −7.52698 + 32.9778i −0.431702 + 1.89141i
\(305\) 34.2720 16.5045i 1.96241 0.945046i
\(306\) 7.21498 9.69590i 0.412453 0.554278i
\(307\) −7.98998 −0.456012 −0.228006 0.973660i \(-0.573221\pi\)
−0.228006 + 0.973660i \(0.573221\pi\)
\(308\) 2.09744 0.119513
\(309\) 15.4104 12.2894i 0.876665 0.699117i
\(310\) −3.52855 1.69926i −0.200408 0.0965114i
\(311\) 3.44004 + 2.74334i 0.195067 + 0.155560i 0.716153 0.697944i \(-0.245901\pi\)
−0.521086 + 0.853504i \(0.674473\pi\)
\(312\) 12.2711 25.4812i 0.694714 1.44259i
\(313\) 23.8975 5.45444i 1.35077 0.308303i 0.514906 0.857247i \(-0.327827\pi\)
0.835859 + 0.548943i \(0.184970\pi\)
\(314\) 0.622222 + 0.780242i 0.0351140 + 0.0440316i
\(315\) −1.86648 8.17759i −0.105164 0.460755i
\(316\) −1.15971 2.40816i −0.0652388 0.135470i
\(317\) 14.4721 + 11.5411i 0.812834 + 0.648213i 0.939047 0.343790i \(-0.111711\pi\)
−0.126213 + 0.992003i \(0.540282\pi\)
\(318\) 18.1102 + 14.4424i 1.01557 + 0.809890i
\(319\) −2.73674 + 11.9904i −0.153228 + 0.671335i
\(320\) −8.42785 17.5006i −0.471131 0.978314i
\(321\) 36.5999 + 17.6256i 2.04281 + 0.983765i
\(322\) −2.75917 + 12.0887i −0.153763 + 0.673678i
\(323\) 30.1326 1.00881i 1.67662 0.0561318i
\(324\) 3.88117 + 1.86907i 0.215621 + 0.103837i
\(325\) 26.9616 12.9840i 1.49556 0.720224i
\(326\) −3.55034 0.810341i −0.196635 0.0448806i
\(327\) 19.1549 24.0194i 1.05927 1.32828i
\(328\) −12.3754 9.86902i −0.683315 0.544926i
\(329\) −4.38299 9.10137i −0.241642 0.501775i
\(330\) −44.1055 + 10.0668i −2.42793 + 0.554159i
\(331\) −19.5765 24.5482i −1.07602 1.34929i −0.933124 0.359554i \(-0.882929\pi\)
−0.142900 0.989737i \(-0.545643\pi\)
\(332\) 1.39368 + 6.10612i 0.0764883 + 0.335117i
\(333\) 4.06498 8.44102i 0.222760 0.462565i
\(334\) 1.63714 + 1.30558i 0.0895804 + 0.0714380i
\(335\) 3.38834 7.03595i 0.185125 0.384415i
\(336\) −8.57585 10.7538i −0.467851 0.586667i
\(337\) 3.67853i 0.200382i 0.994968 + 0.100191i \(0.0319454\pi\)
−0.994968 + 0.100191i \(0.968055\pi\)
\(338\) 20.6028 1.12064
\(339\) 5.37909 + 6.74517i 0.292152 + 0.366347i
\(340\) 4.00783 3.42167i 0.217355 0.185566i
\(341\) 0.688699 3.01739i 0.0372951 0.163401i
\(342\) −4.76955 20.8967i −0.257908 1.12997i
\(343\) 16.3857i 0.884744i
\(344\) 13.0912 9.76593i 0.705831 0.526543i
\(345\) 43.4870i 2.34126i
\(346\) −8.66421 + 1.97755i −0.465791 + 0.106314i
\(347\) −25.3599 5.78822i −1.36139 0.310728i −0.521391 0.853318i \(-0.674587\pi\)
−0.839998 + 0.542590i \(0.817444\pi\)
\(348\) −2.36904 + 1.14087i −0.126994 + 0.0611571i
\(349\) 9.84856 + 12.3497i 0.527181 + 0.661064i 0.972117 0.234498i \(-0.0753447\pi\)
−0.444935 + 0.895563i \(0.646773\pi\)
\(350\) 12.1101i 0.647314i
\(351\) 12.5279i 0.668688i
\(352\) −6.81172 + 5.43217i −0.363066 + 0.289535i
\(353\) 29.0948 + 14.0113i 1.54856 + 0.745747i 0.996137 0.0878178i \(-0.0279893\pi\)
0.552422 + 0.833564i \(0.313704\pi\)
\(354\) 9.21290 + 7.34704i 0.489660 + 0.390491i
\(355\) 39.6608 + 19.0996i 2.10498 + 1.01370i
\(356\) −0.855771 3.74938i −0.0453558 0.198717i
\(357\) −7.31877 + 9.83538i −0.387351 + 0.520543i
\(358\) −6.00009 26.2881i −0.317115 1.38937i
\(359\) −17.8276 + 8.58531i −0.940904 + 0.453115i −0.840488 0.541830i \(-0.817732\pi\)
−0.100416 + 0.994946i \(0.532017\pi\)
\(360\) 12.1558 + 9.69396i 0.640669 + 0.510916i
\(361\) 21.4918 26.9498i 1.13115 1.41841i
\(362\) 31.6937 + 7.23389i 1.66579 + 0.380205i
\(363\) −4.95061 10.2800i −0.259840 0.539562i
\(364\) 1.16180 2.41250i 0.0608948 0.126449i
\(365\) −6.27458 + 27.4907i −0.328426 + 1.43893i
\(366\) −8.79533 + 38.5349i −0.459739 + 2.01425i
\(367\) 1.74083 3.61486i 0.0908703 0.188694i −0.850580 0.525845i \(-0.823749\pi\)
0.941451 + 0.337151i \(0.109463\pi\)
\(368\) −11.9846 24.8864i −0.624743 1.29729i
\(369\) 11.7517 + 2.68224i 0.611767 + 0.139632i
\(370\) 15.6643 19.6424i 0.814347 1.02116i
\(371\) −7.11580 5.67466i −0.369434 0.294614i
\(372\) 0.596169 0.287100i 0.0309099 0.0148854i
\(373\) 6.33996 + 27.7772i 0.328270 + 1.43825i 0.822425 + 0.568873i \(0.192620\pi\)
−0.494155 + 0.869374i \(0.664522\pi\)
\(374\) 20.5474 + 15.2898i 1.06248 + 0.790619i
\(375\) 1.34792 + 5.90563i 0.0696064 + 0.304966i
\(376\) 16.8704 + 8.12436i 0.870025 + 0.418982i
\(377\) 12.2756 + 9.78946i 0.632225 + 0.504183i
\(378\) −4.56772 2.19970i −0.234938 0.113140i
\(379\) −13.6387 + 10.8765i −0.700574 + 0.558689i −0.907697 0.419626i \(-0.862161\pi\)
0.207123 + 0.978315i \(0.433590\pi\)
\(380\) 9.34595i 0.479437i
\(381\) 6.52539i 0.334306i
\(382\) −16.8343 21.1095i −0.861317 1.08006i
\(383\) −1.39572 + 0.672143i −0.0713179 + 0.0343449i −0.469203 0.883090i \(-0.655459\pi\)
0.397885 + 0.917435i \(0.369744\pi\)
\(384\) 29.0299 + 6.62589i 1.48143 + 0.338126i
\(385\) 17.3298 3.95541i 0.883208 0.201586i
\(386\) 0.724146i 0.0368581i
\(387\) −5.75519 + 11.0259i −0.292553 + 0.560480i
\(388\) 0.00800632i 0.000406459i
\(389\) −5.18432 22.7140i −0.262856 1.15165i −0.918138 0.396262i \(-0.870307\pi\)
0.655282 0.755384i \(-0.272550\pi\)
\(390\) −12.8516 + 56.3067i −0.650768 + 2.85120i
\(391\) −18.7240 + 15.9856i −0.946915 + 0.808425i
\(392\) −8.06662 10.1152i −0.407426 0.510896i
\(393\) −11.3101 −0.570518
\(394\) 25.9428i 1.30698i
\(395\) −14.1233 17.7100i −0.710620 0.891089i
\(396\) 1.28459 2.66748i 0.0645530 0.134046i
\(397\) 8.62774 + 6.88039i 0.433014 + 0.345317i 0.815613 0.578597i \(-0.196400\pi\)
−0.382600 + 0.923914i \(0.624971\pi\)
\(398\) 10.9753 22.7904i 0.550140 1.14238i
\(399\) 4.83816 + 21.1974i 0.242211 + 1.06120i
\(400\) 16.8199 + 21.0914i 0.840993 + 1.05457i
\(401\) −2.37938 + 0.543078i −0.118821 + 0.0271200i −0.281518 0.959556i \(-0.590838\pi\)
0.162697 + 0.986676i \(0.447981\pi\)
\(402\) 3.52078 + 7.31097i 0.175600 + 0.364638i
\(403\) −3.08915 2.46351i −0.153881 0.122716i
\(404\) −2.02020 + 2.53325i −0.100509 + 0.126034i
\(405\) 35.5923 + 8.12371i 1.76859 + 0.403670i
\(406\) 5.72469 2.75687i 0.284112 0.136821i
\(407\) 17.8880 + 8.61443i 0.886678 + 0.427001i
\(408\) −0.760375 22.7119i −0.0376442 1.12441i
\(409\) 3.28177 14.3784i 0.162273 0.710966i −0.826672 0.562684i \(-0.809769\pi\)
0.988945 0.148281i \(-0.0473741\pi\)
\(410\) 29.1227 + 14.0248i 1.43827 + 0.692634i
\(411\) −12.7023 26.3766i −0.626559 1.30106i
\(412\) −0.769727 + 3.37240i −0.0379218 + 0.166146i
\(413\) −3.61990 2.88677i −0.178124 0.142049i
\(414\) 13.6843 + 10.9128i 0.672545 + 0.536337i
\(415\) 23.0302 + 47.8226i 1.13051 + 2.34752i
\(416\) 2.47504 + 10.8438i 0.121349 + 0.531663i
\(417\) −20.9203 26.2332i −1.02447 1.28465i
\(418\) 44.2840 10.1075i 2.16600 0.494376i
\(419\) 1.60992 3.34304i 0.0786498 0.163318i −0.857936 0.513757i \(-0.828253\pi\)
0.936586 + 0.350439i \(0.113968\pi\)
\(420\) 2.97122 + 2.36947i 0.144981 + 0.115618i
\(421\) 21.0071 + 10.1165i 1.02382 + 0.493048i 0.868957 0.494888i \(-0.164791\pi\)
0.154867 + 0.987935i \(0.450505\pi\)
\(422\) 8.34024 6.65112i 0.405996 0.323771i
\(423\) −14.2593 −0.693310
\(424\) 16.8706 0.819307
\(425\) 14.3543 19.2902i 0.696288 0.935711i
\(426\) −41.2110 + 19.8462i −1.99668 + 0.961551i
\(427\) 3.45583 15.1410i 0.167239 0.732724i
\(428\) −6.95039 + 1.58638i −0.335960 + 0.0766807i
\(429\) −45.6415 −2.20359
\(430\) −21.6256 + 25.3918i −1.04288 + 1.22450i
\(431\) 15.5660i 0.749788i −0.927068 0.374894i \(-0.877679\pi\)
0.927068 0.374894i \(-0.122321\pi\)
\(432\) 11.0105 2.51307i 0.529743 0.120910i
\(433\) 4.87243 21.3475i 0.234154 1.02590i −0.712000 0.702179i \(-0.752211\pi\)
0.946154 0.323716i \(-0.104932\pi\)
\(434\) −1.44062 + 0.693764i −0.0691518 + 0.0333017i
\(435\) −17.4224 + 13.8939i −0.835338 + 0.666160i
\(436\) 5.39158i 0.258210i
\(437\) 43.6630i 2.08868i
\(438\) −18.2682 22.9075i −0.872886 1.09456i
\(439\) 0.470491 0.976986i 0.0224553 0.0466290i −0.889439 0.457053i \(-0.848905\pi\)
0.911895 + 0.410424i \(0.134619\pi\)
\(440\) −20.5433 + 25.7604i −0.979361 + 1.22808i
\(441\) 8.87675 + 4.27482i 0.422702 + 0.203563i
\(442\) 28.9679 15.1645i 1.37786 0.721304i
\(443\) −17.9864 22.5543i −0.854561 1.07159i −0.996654 0.0817319i \(-0.973955\pi\)
0.142094 0.989853i \(-0.454617\pi\)
\(444\) 0.944550 + 4.13835i 0.0448264 + 0.196397i
\(445\) −14.1413 29.3648i −0.670364 1.39202i
\(446\) 22.5458 28.2716i 1.06758 1.33870i
\(447\) 29.4662 + 23.4985i 1.39370 + 1.11144i
\(448\) −7.73158 1.76468i −0.365283 0.0833734i
\(449\) −10.9944 22.8302i −0.518859 1.07742i −0.981604 0.190930i \(-0.938850\pi\)
0.462745 0.886492i \(-0.346865\pi\)
\(450\) −15.4014 7.41691i −0.726027 0.349636i
\(451\) −5.68415 + 24.9039i −0.267656 + 1.17268i
\(452\) −1.47611 0.336912i −0.0694303 0.0158470i
\(453\) 11.3555 23.5800i 0.533528 1.10788i
\(454\) −6.85800 14.2408i −0.321862 0.668353i
\(455\) 5.04962 22.1238i 0.236730 1.03718i
\(456\) −31.5095 25.1280i −1.47557 1.17673i
\(457\) 4.23152 5.30616i 0.197942 0.248212i −0.672947 0.739690i \(-0.734972\pi\)
0.870890 + 0.491479i \(0.163543\pi\)
\(458\) −18.4029 + 8.86236i −0.859911 + 0.414111i
\(459\) −4.66857 8.91810i −0.217910 0.416261i
\(460\) 4.75834 + 5.96676i 0.221859 + 0.278202i
\(461\) −1.69401 7.42193i −0.0788978 0.345674i 0.920036 0.391833i \(-0.128159\pi\)
−0.998934 + 0.0461593i \(0.985302\pi\)
\(462\) −8.01394 + 16.6411i −0.372842 + 0.774214i
\(463\) −9.43675 + 11.8333i −0.438563 + 0.549941i −0.951164 0.308686i \(-0.900111\pi\)
0.512601 + 0.858627i \(0.328682\pi\)
\(464\) −6.14129 + 12.7525i −0.285102 + 0.592021i
\(465\) 4.38433 3.49639i 0.203318 0.162141i
\(466\) 24.5359i 1.13660i
\(467\) −37.4872 −1.73470 −0.867350 0.497699i \(-0.834178\pi\)
−0.867350 + 0.497699i \(0.834178\pi\)
\(468\) −2.35661 2.95509i −0.108934 0.136599i
\(469\) −1.38337 2.87260i −0.0638781 0.132644i
\(470\) −37.2791 8.50872i −1.71956 0.392478i
\(471\) −1.39313 + 0.317973i −0.0641922 + 0.0146514i
\(472\) 8.58228 0.395031
\(473\) −23.3660 12.1963i −1.07437 0.560786i
\(474\) 23.5374 1.08111
\(475\) −9.48910 41.5745i −0.435390 1.90757i
\(476\) −0.0719905 2.15031i −0.00329968 0.0985594i
\(477\) −11.5750 + 5.57423i −0.529983 + 0.255226i
\(478\) 6.85020 + 8.58988i 0.313321 + 0.392892i
\(479\) 16.0388i 0.732831i −0.930451 0.366415i \(-0.880585\pi\)
0.930451 0.366415i \(-0.119415\pi\)
\(480\) −15.7861 −0.720534
\(481\) 19.8168 15.8034i 0.903568 0.720571i
\(482\) 1.93030 4.00830i 0.0879226 0.182573i
\(483\) −13.8811 11.0698i −0.631613 0.503695i
\(484\) 1.80410 + 0.868810i 0.0820047 + 0.0394914i
\(485\) −0.0150985 0.0661509i −0.000685588 0.00300376i
\(486\) −20.8088 + 16.5945i −0.943908 + 0.752742i
\(487\) −9.31020 + 2.12499i −0.421885 + 0.0962926i −0.428192 0.903688i \(-0.640849\pi\)
0.00630724 + 0.999980i \(0.497992\pi\)
\(488\) 12.4903 + 25.9364i 0.565411 + 1.17409i
\(489\) 3.25110 4.07675i 0.147020 0.184357i
\(490\) 20.6563 + 16.4729i 0.933158 + 0.744168i
\(491\) −2.41891 + 10.5979i −0.109164 + 0.478278i 0.890562 + 0.454862i \(0.150311\pi\)
−0.999726 + 0.0234161i \(0.992546\pi\)
\(492\) −4.92046 + 2.36957i −0.221831 + 0.106828i
\(493\) 12.3866 + 2.39417i 0.557864 + 0.107828i
\(494\) 12.9036 56.5345i 0.580562 2.54361i
\(495\) 5.58332 24.4621i 0.250951 1.09949i
\(496\) 1.54545 3.20917i 0.0693929 0.144096i
\(497\) 16.1925 7.79789i 0.726333 0.349783i
\(498\) −53.7710 12.2729i −2.40953 0.549961i
\(499\) −0.417557 0.332991i −0.0186924 0.0149067i 0.614099 0.789229i \(-0.289520\pi\)
−0.632791 + 0.774322i \(0.718091\pi\)
\(500\) −0.831138 0.662811i −0.0371696 0.0296418i
\(501\) −2.70139 + 1.30092i −0.120689 + 0.0581208i
\(502\) 2.20468 + 9.65935i 0.0983998 + 0.431118i
\(503\) 5.33455 4.25416i 0.237856 0.189684i −0.497306 0.867575i \(-0.665677\pi\)
0.735162 + 0.677891i \(0.237106\pi\)
\(504\) 6.18866 1.41252i 0.275665 0.0629187i
\(505\) −11.9143 + 24.7403i −0.530179 + 1.10093i
\(506\) −23.1263 + 28.9994i −1.02809 + 1.28918i
\(507\) −12.7998 + 26.5790i −0.568458 + 1.18042i
\(508\) 0.714007 + 0.895336i 0.0316789 + 0.0397241i
\(509\) −37.4403 −1.65951 −0.829756 0.558126i \(-0.811521\pi\)
−0.829756 + 0.558126i \(0.811521\pi\)
\(510\) 11.8344 + 44.8717i 0.524035 + 1.98695i
\(511\) 7.17786 + 9.00075i 0.317530 + 0.398170i
\(512\) 11.7274 5.64759i 0.518281 0.249591i
\(513\) −17.4048 3.97252i −0.768439 0.175391i
\(514\) 0.187826 + 0.822921i 0.00828466 + 0.0362975i
\(515\) 29.3155i 1.29179i
\(516\) −1.07604 5.53146i −0.0473701 0.243509i
\(517\) 30.2180i 1.32899i
\(518\) −2.28246 10.0001i −0.100286 0.439380i
\(519\) 2.83159 12.4060i 0.124293 0.544564i
\(520\) 18.2507 + 37.8980i 0.800348 + 1.66194i
\(521\) 29.2113 23.2953i 1.27977 1.02058i 0.281639 0.959521i \(-0.409122\pi\)
0.998134 0.0610638i \(-0.0194493\pi\)
\(522\) 8.96898i 0.392561i
\(523\) −44.0026 −1.92410 −0.962049 0.272878i \(-0.912024\pi\)
−0.962049 + 0.272878i \(0.912024\pi\)
\(524\) 1.55183 1.23755i 0.0677922 0.0540625i
\(525\) 15.6229 + 7.52360i 0.681840 + 0.328357i
\(526\) 23.8420 29.8969i 1.03956 1.30357i
\(527\) −3.11708 0.602492i −0.135782 0.0262450i
\(528\) −9.15562 40.1134i −0.398447 1.74571i
\(529\) −7.89000 9.89375i −0.343044 0.430163i
\(530\) −33.5877 + 7.66617i −1.45895 + 0.332997i
\(531\) −5.88835 + 2.83568i −0.255533 + 0.123058i
\(532\) −2.98324 2.37906i −0.129340 0.103145i
\(533\) 25.4962 + 20.3325i 1.10436 + 0.880699i
\(534\) 33.0173 + 7.53598i 1.42880 + 0.326114i
\(535\) −54.4349 + 26.2144i −2.35342 + 1.13335i
\(536\) 5.32469 + 2.56423i 0.229991 + 0.110758i
\(537\) 37.6412 + 8.59135i 1.62434 + 0.370744i
\(538\) −37.4872 8.55620i −1.61619 0.368884i
\(539\) −9.05911 + 18.8114i −0.390203 + 0.810266i
\(540\) −2.81137 + 1.35388i −0.120982 + 0.0582619i
\(541\) −28.9154 6.59976i −1.24317 0.283746i −0.450158 0.892949i \(-0.648632\pi\)
−0.793014 + 0.609203i \(0.791489\pi\)
\(542\) −10.5921 + 13.2821i −0.454971 + 0.570516i
\(543\) −29.0224 + 36.3930i −1.24547 + 1.56177i
\(544\) 5.80289 + 6.79697i 0.248797 + 0.291418i
\(545\) 10.1676 + 44.5471i 0.435531 + 1.90819i
\(546\) 14.7017 + 18.4354i 0.629177 + 0.788963i
\(547\) −17.8374 + 4.07127i −0.762673 + 0.174075i −0.586129 0.810218i \(-0.699349\pi\)
−0.176544 + 0.984293i \(0.556492\pi\)
\(548\) 4.62898 + 2.22920i 0.197740 + 0.0952267i
\(549\) −17.1394 13.6682i −0.731491 0.583345i
\(550\) 15.7178 32.6383i 0.670208 1.39170i
\(551\) 17.4929 13.9501i 0.745221 0.594294i
\(552\) 32.9102 1.40075
\(553\) −9.24823 −0.393275
\(554\) 3.73132 2.97563i 0.158529 0.126422i
\(555\) 15.6084 + 32.4112i 0.662539 + 1.37578i
\(556\) 5.74086 + 1.31031i 0.243467 + 0.0555697i
\(557\) 5.04950 + 22.1233i 0.213954 + 0.937394i 0.961850 + 0.273578i \(0.0882072\pi\)
−0.747896 + 0.663816i \(0.768936\pi\)
\(558\) 2.25704i 0.0955481i
\(559\) −26.9710 + 20.1201i −1.14075 + 0.850990i
\(560\) 20.4571 0.864472
\(561\) −32.4904 + 17.0085i −1.37174 + 0.718099i
\(562\) −2.10026 + 9.20183i −0.0885941 + 0.388156i
\(563\) 29.3431 14.1309i 1.23666 0.595545i 0.302758 0.953067i \(-0.402093\pi\)
0.933905 + 0.357522i \(0.116378\pi\)
\(564\) 5.05103 4.02806i 0.212687 0.169612i
\(565\) −12.8315 −0.539824
\(566\) 32.0142i 1.34566i
\(567\) 11.6533 9.29319i 0.489392 0.390277i
\(568\) −14.4543 + 30.0146i −0.606488 + 1.25939i
\(569\) 23.7470 29.7778i 0.995526 1.24835i 0.0269485 0.999637i \(-0.491421\pi\)
0.968577 0.248713i \(-0.0800076\pi\)
\(570\) 74.1508 + 35.7091i 3.10583 + 1.49569i
\(571\) −2.33947 + 0.533969i −0.0979038 + 0.0223459i −0.271192 0.962525i \(-0.587418\pi\)
0.173288 + 0.984871i \(0.444561\pi\)
\(572\) 6.26238 4.99408i 0.261843 0.208813i
\(573\) 37.6913 8.60280i 1.57458 0.359387i
\(574\) 11.8901 5.72595i 0.496282 0.238997i
\(575\) 27.2251 + 21.7113i 1.13537 + 0.905424i
\(576\) −6.97952 + 8.75204i −0.290813 + 0.364669i
\(577\) 2.27802 9.98068i 0.0948354 0.415501i −0.905118 0.425161i \(-0.860218\pi\)
0.999953 + 0.00965948i \(0.00307476\pi\)
\(578\) 14.9700 21.5901i 0.622670 0.898029i
\(579\) −0.934199 0.449887i −0.0388240 0.0186967i
\(580\) 0.870224 3.81270i 0.0361341 0.158314i
\(581\) 21.1275 + 4.82221i 0.876517 + 0.200059i
\(582\) 0.0635221 + 0.0305906i 0.00263308 + 0.00126802i
\(583\) −11.8128 24.5295i −0.489236 1.01591i
\(584\) −20.8045 4.74849i −0.860896 0.196494i
\(585\) −25.0439 19.9718i −1.03544 0.825734i
\(586\) −16.9977 + 21.3144i −0.702168 + 0.880490i
\(587\) 22.5353 10.8524i 0.930131 0.447928i 0.0934538 0.995624i \(-0.470209\pi\)
0.836677 + 0.547696i \(0.184495\pi\)
\(588\) −4.35197 + 0.993308i −0.179472 + 0.0409633i
\(589\) −4.40207 + 3.51053i −0.181384 + 0.144649i
\(590\) −17.0865 + 3.89988i −0.703439 + 0.160555i
\(591\) −33.4681 16.1174i −1.37669 0.662980i
\(592\) 17.8645 + 14.2465i 0.734226 + 0.585526i
\(593\) 23.7576 + 11.4411i 0.975610 + 0.469829i 0.852593 0.522576i \(-0.175029\pi\)
0.123017 + 0.992405i \(0.460743\pi\)
\(594\) −9.45558 11.8569i −0.387967 0.486495i
\(595\) −4.64992 17.6308i −0.190628 0.722794i
\(596\) −6.61420 −0.270928
\(597\) 22.5826 + 28.3177i 0.924246 + 1.15897i
\(598\) 20.5455 + 42.6632i 0.840168 + 1.74463i
\(599\) −7.78690 + 34.1166i −0.318164 + 1.39397i 0.522606 + 0.852574i \(0.324960\pi\)
−0.840770 + 0.541393i \(0.817897\pi\)
\(600\) −31.3360 + 7.15225i −1.27929 + 0.291989i
\(601\) 26.2647i 1.07136i 0.844421 + 0.535681i \(0.179945\pi\)
−0.844421 + 0.535681i \(0.820055\pi\)
\(602\) 2.60021 + 13.3665i 0.105976 + 0.544779i
\(603\) −4.50055 −0.183277
\(604\) 1.02205 + 4.47788i 0.0415865 + 0.182202i
\(605\) 16.5445 + 3.77618i 0.672631 + 0.153524i
\(606\) −12.3800 25.7073i −0.502902 1.04429i
\(607\) −26.9028 + 21.4543i −1.09195 + 0.870802i −0.992255 0.124216i \(-0.960358\pi\)
−0.0996960 + 0.995018i \(0.531787\pi\)
\(608\) 15.8500 0.642802
\(609\) 9.09800i 0.368670i
\(610\) −36.6528 45.9612i −1.48403 1.86091i
\(611\) −34.7570 16.7381i −1.40612 0.677151i
\(612\) −2.77880 1.22541i −0.112327 0.0495344i
\(613\) 11.3177 + 5.45033i 0.457119 + 0.220137i 0.648250 0.761428i \(-0.275501\pi\)
−0.191131 + 0.981565i \(0.561216\pi\)
\(614\) 2.74767 + 12.0383i 0.110887 + 0.485828i
\(615\) −36.1859 + 28.8573i −1.45916 + 1.16364i
\(616\) 2.99339 + 13.1149i 0.120607 + 0.528414i
\(617\) 0.168394 + 0.349674i 0.00677929 + 0.0140773i 0.904331 0.426832i \(-0.140370\pi\)
−0.897552 + 0.440909i \(0.854656\pi\)
\(618\) −23.8156 18.9923i −0.958004 0.763983i
\(619\) 16.9051 + 13.4814i 0.679472 + 0.541861i 0.901284 0.433228i \(-0.142626\pi\)
−0.221812 + 0.975090i \(0.571197\pi\)
\(620\) −0.218991 + 0.959464i −0.00879491 + 0.0385330i
\(621\) 13.1343 6.32516i 0.527062 0.253820i
\(622\) 2.95034 6.12644i 0.118298 0.245648i
\(623\) −12.9730 2.96101i −0.519754 0.118630i
\(624\) −51.2102 11.6884i −2.05005 0.467910i
\(625\) 18.1540 + 8.74252i 0.726161 + 0.349701i
\(626\) −16.4362 34.1301i −0.656923 1.36411i
\(627\) −14.4727 + 63.4089i −0.577983 + 2.53231i
\(628\) 0.156356 0.196065i 0.00623930 0.00782383i
\(629\) 8.21759 18.6346i 0.327657 0.743010i
\(630\) −11.6791 + 5.62438i −0.465308 + 0.224081i
\(631\) −5.18521 22.7179i −0.206420 0.904384i −0.966927 0.255055i \(-0.917907\pi\)
0.760507 0.649330i \(-0.224951\pi\)
\(632\) 13.4027 10.6883i 0.533129 0.425156i
\(633\) 3.39891 + 14.8916i 0.135095 + 0.591888i
\(634\) 12.4120 25.7737i 0.492942 1.02360i
\(635\) 7.58781 + 6.05108i 0.301113 + 0.240130i
\(636\) 2.52554 5.24433i 0.100144 0.207951i
\(637\) 16.6191 + 20.8397i 0.658474 + 0.825701i
\(638\) 19.0069 0.752490
\(639\) 25.3691i 1.00359i
\(640\) −34.6245 + 27.6121i −1.36865 + 1.09146i
\(641\) −1.96445 4.07922i −0.0775912 0.161120i 0.858564 0.512706i \(-0.171357\pi\)
−0.936156 + 0.351586i \(0.885642\pi\)
\(642\) 13.9698 61.2057i 0.551344 2.41559i
\(643\) 4.77023 1.08877i 0.188119 0.0429370i −0.127423 0.991848i \(-0.540671\pi\)
0.315543 + 0.948911i \(0.397813\pi\)
\(644\) 3.11586 0.122782
\(645\) −19.3220 43.6736i −0.760802 1.71964i
\(646\) −11.8823 45.0533i −0.467501 1.77260i
\(647\) 7.88381 + 34.5412i 0.309944 + 1.35796i 0.854596 + 0.519293i \(0.173805\pi\)
−0.544652 + 0.838662i \(0.683338\pi\)
\(648\) −6.14788 + 26.9356i −0.241512 + 1.05813i
\(649\) −6.00932 12.4785i −0.235887 0.489823i
\(650\) −28.8346 36.1574i −1.13099 1.41821i
\(651\) 2.28951i 0.0897329i
\(652\) 0.915097i 0.0358380i
\(653\) −2.96059 + 2.36100i −0.115857 + 0.0923929i −0.679705 0.733486i \(-0.737892\pi\)
0.563848 + 0.825879i \(0.309321\pi\)
\(654\) −42.7768 20.6002i −1.67270 0.805532i
\(655\) 10.4880 13.1515i 0.409799 0.513872i
\(656\) −12.7553 + 26.4867i −0.498012 + 1.03413i
\(657\) 15.8431 3.61607i 0.618096 0.141076i
\(658\) −12.2056 + 9.73363i −0.475823 + 0.379456i
\(659\) 10.0137 + 43.8730i 0.390079 + 1.70905i 0.664372 + 0.747402i \(0.268699\pi\)
−0.274293 + 0.961646i \(0.588444\pi\)
\(660\) 4.93246 + 10.2424i 0.191996 + 0.398684i
\(661\) −1.06256 + 1.33241i −0.0413289 + 0.0518249i −0.802066 0.597235i \(-0.796266\pi\)
0.760737 + 0.649060i \(0.224837\pi\)
\(662\) −30.2541 + 37.9375i −1.17586 + 1.47448i
\(663\) 1.56655 + 46.7919i 0.0608398 + 1.81725i
\(664\) −36.1913 + 17.4288i −1.40450 + 0.676370i
\(665\) −29.1351 14.0307i −1.12981 0.544087i
\(666\) −14.1158 3.22184i −0.546977 0.124844i
\(667\) −4.06556 + 17.8124i −0.157419 + 0.689699i
\(668\) 0.228306 0.474081i 0.00883341 0.0183428i
\(669\) 22.4654 + 46.6499i 0.868562 + 1.80359i
\(670\) −11.7661 2.68555i −0.454566 0.103752i
\(671\) 28.9654 36.3215i 1.11820 1.40217i
\(672\) −4.01843 + 5.03895i −0.155014 + 0.194382i
\(673\) −9.87954 20.5151i −0.380828 0.790798i −0.999985 0.00553064i \(-0.998240\pi\)
0.619156 0.785268i \(-0.287475\pi\)
\(674\) 5.54237 1.26501i 0.213484 0.0487263i
\(675\) −11.1315 + 8.87704i −0.428450 + 0.341678i
\(676\) −1.15204 5.04740i −0.0443091 0.194131i
\(677\) −8.27854 + 17.1906i −0.318170 + 0.660687i −0.997308 0.0733233i \(-0.976640\pi\)
0.679138 + 0.734011i \(0.262354\pi\)
\(678\) 8.31300 10.4242i 0.319259 0.400338i
\(679\) −0.0249589 0.0120196i −0.000957834 0.000461269i
\(680\) 27.1148 + 20.1769i 1.03981 + 0.773748i
\(681\) 22.6322 0.867269
\(682\) −4.78307 −0.183153
\(683\) −20.7441 + 16.5429i −0.793751 + 0.632995i −0.934061 0.357113i \(-0.883761\pi\)
0.140311 + 0.990108i \(0.455190\pi\)
\(684\) −4.85273 + 2.33695i −0.185549 + 0.0893556i
\(685\) 42.4501 + 9.68896i 1.62194 + 0.370196i
\(686\) 24.6880 5.63487i 0.942592 0.215140i
\(687\) 29.2469i 1.11584i
\(688\) −23.0935 19.6682i −0.880431 0.749842i
\(689\) −34.7573 −1.32415
\(690\) −65.5210 + 14.9547i −2.49434 + 0.569317i
\(691\) −29.9728 6.84111i −1.14022 0.260248i −0.389602 0.920983i \(-0.627387\pi\)
−0.750619 + 0.660736i \(0.770244\pi\)
\(692\) 0.968946 + 2.01204i 0.0368338 + 0.0764862i
\(693\) −6.38709 8.00915i −0.242625 0.304243i
\(694\) 40.1997i 1.52596i
\(695\) 49.9040 1.89297
\(696\) −10.5146 13.1849i −0.398556 0.499774i
\(697\) 25.7267 + 4.97265i 0.974468 + 0.188352i
\(698\) 15.2202 19.0856i 0.576094 0.722399i
\(699\) −31.6531 15.2433i −1.19723 0.576555i
\(700\) −2.96682 + 0.677158i −0.112135 + 0.0255942i
\(701\) −21.9320 27.5019i −0.828360 1.03873i −0.998577 0.0533242i \(-0.983018\pi\)
0.170217 0.985407i \(-0.445553\pi\)
\(702\) −18.8755 + 4.30821i −0.712410 + 0.162603i
\(703\) −15.6715 32.5423i −0.591064 1.22736i
\(704\) −18.5472 14.7909i −0.699023 0.557452i
\(705\) 34.1371 42.8066i 1.28568 1.61219i
\(706\) 11.1052 48.6549i 0.417948 1.83115i
\(707\) 4.86430 + 10.1008i 0.182941 + 0.379880i
\(708\) 1.28477 2.66786i 0.0482847 0.100264i
\(709\) −20.9741 4.78721i −0.787700 0.179787i −0.190295 0.981727i \(-0.560944\pi\)
−0.597405 + 0.801939i \(0.703802\pi\)
\(710\) 15.1381 66.3244i 0.568123 2.48911i
\(711\) −5.66412 + 11.7617i −0.212421 + 0.441097i
\(712\) 22.2228 10.7019i 0.832833 0.401071i
\(713\) 1.02310 4.48248i 0.0383153 0.167870i
\(714\) 17.3356 + 7.64476i 0.648769 + 0.286098i
\(715\) 42.3239 53.0725i 1.58283 1.98480i
\(716\) −6.10474 + 2.93989i −0.228145 + 0.109869i
\(717\) −15.3374 + 3.50065i −0.572784 + 0.130734i
\(718\) 19.0660 + 23.9081i 0.711538 + 0.892241i
\(719\) 39.7895 9.08169i 1.48390 0.338690i 0.597596 0.801798i \(-0.296123\pi\)
0.886302 + 0.463108i \(0.153266\pi\)
\(720\) 12.5291 26.0169i 0.466931 0.969592i
\(721\) 9.35754 + 7.46239i 0.348493 + 0.277914i
\(722\) −47.9955 23.1134i −1.78621 0.860193i
\(723\) 3.97177 + 4.98044i 0.147712 + 0.185225i
\(724\) 8.16904i 0.303600i
\(725\) 17.8440i 0.662708i
\(726\) −13.7863 + 10.9942i −0.511657 + 0.408033i
\(727\) −15.2516 + 7.34478i −0.565651 + 0.272403i −0.694777 0.719225i \(-0.744497\pi\)
0.129126 + 0.991628i \(0.458783\pi\)
\(728\) 16.7429 + 3.82146i 0.620534 + 0.141633i
\(729\) −1.07525 4.71096i −0.0398239 0.174480i
\(730\) 43.5775 1.61288
\(731\) −11.7017 + 24.3736i −0.432803 + 0.901488i
\(732\) 9.93234 0.367110
\(733\) 0.229970 + 1.00757i 0.00849415 + 0.0372153i 0.978997 0.203873i \(-0.0653529\pi\)
−0.970503 + 0.241088i \(0.922496\pi\)
\(734\) −6.04509 1.37975i −0.223128 0.0509276i
\(735\) −34.0842 + 16.4141i −1.25722 + 0.605443i
\(736\) −10.1192 + 8.06976i −0.372997 + 0.297455i
\(737\) 9.53749i 0.351318i
\(738\) 18.6284i 0.685720i
\(739\) −0.315964 0.396207i −0.0116229 0.0145747i 0.775986 0.630750i \(-0.217253\pi\)
−0.787609 + 0.616175i \(0.788681\pi\)
\(740\) −5.68802 2.73920i −0.209096 0.100695i
\(741\) 64.9170 + 51.7696i 2.38478 + 1.90180i
\(742\) −6.10285 + 12.6727i −0.224043 + 0.465229i
\(743\) 26.8935 6.13827i 0.986627 0.225191i 0.301382 0.953504i \(-0.402552\pi\)
0.685245 + 0.728312i \(0.259695\pi\)
\(744\) 2.64600 + 3.31798i 0.0970072 + 0.121643i
\(745\) −54.6488 + 12.4732i −2.00218 + 0.456983i
\(746\) 39.6711 19.1046i 1.45246 0.699468i
\(747\) 19.0724 23.9161i 0.697823 0.875043i
\(748\) 2.59687 5.88879i 0.0949510 0.215315i
\(749\) −5.48896 + 24.0487i −0.200562 + 0.878721i
\(750\) 8.43436 4.06177i 0.307979 0.148315i
\(751\) 15.5495 32.2888i 0.567409 1.17824i −0.397973 0.917397i \(-0.630286\pi\)
0.965382 0.260840i \(-0.0839993\pi\)
\(752\) 7.73857 33.9049i 0.282197 1.23638i
\(753\) −13.8309 3.15682i −0.504027 0.115041i
\(754\) 10.5281 21.8619i 0.383412 0.796163i
\(755\) 16.8890 + 35.0703i 0.614653 + 1.27634i
\(756\) −0.283486 + 1.24203i −0.0103103 +