Properties

Label 731.2.p.a.16.17
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 16.17
Character \(\chi\) = 731.16
Dual form 731.2.p.a.594.17

$q$-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} +(-2.46141 - 3.30779i) 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} +(-4.13732 + 4.84608i) 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} +(3.68141 + 8.34814i) 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} +(1.41857 + 0.742613i) 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 −0.451577 0.892232i \(-0.649138\pi\)
−0.793982 + 0.607941i \(0.791996\pi\)
\(4\) −0.349888 + 0.168497i −0.174944 + 0.0842485i
\(5\) 2.57313 2.05201i 1.15074 0.917685i 0.153229 0.988191i \(-0.451033\pi\)
0.997511 + 0.0705057i \(0.0224613\pi\)
\(6\) 3.41980i 1.39613i
\(7\) 1.34370i 0.507870i −0.967221 0.253935i \(-0.918275\pi\)
0.967221 0.253935i \(-0.0817249\pi\)
\(8\) −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 \(-0.649932\pi\)
0.979633 0.200798i \(-0.0643536\pi\)
\(12\) 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
\(17\) −2.46141 3.30779i −0.596980 0.802256i
\(18\) 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 \(-0.643246\pi\)
0.975199 0.221331i \(-0.0710400\pi\)
\(24\) 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 −0.490324 0.871540i \(-0.663122\pi\)
−0.0636197 + 0.997974i \(0.520264\pi\)
\(30\) 7.01746 + 8.79961i 1.28121 + 1.60658i
\(31\) 0.750690 0.171340i 0.134828 0.0307736i −0.154574 0.987981i \(-0.549401\pi\)
0.289402 + 0.957208i \(0.406543\pi\)
\(32\) 1.95291 + 0.940474i 0.345230 + 0.166254i
\(33\) −5.54564 + 6.95402i −0.965372 + 1.21054i
\(34\) −4.13732 + 4.84608i −0.709545 + 0.831095i
\(35\) −2.75727 3.45751i −0.466064 0.584426i
\(36\) −0.736582 −0.122764
\(37\) 4.93950i 0.812049i 0.913862 + 0.406024i \(0.133085\pi\)
−0.913862 + 0.406024i \(0.866915\pi\)
\(38\) −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 −0.676998 0.735985i \(-0.736719\pi\)
−0.290622 + 0.956838i \(0.593862\pi\)
\(42\) 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
\(51\) 3.68141 + 8.34814i 0.515500 + 1.16897i
\(52\) −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 0.871058 0.491180i \(-0.163434\pi\)
0.571681 + 0.820476i \(0.306291\pi\)
\(62\) −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 \(0.403443\pi\)
\(68\) 1.41857 + 0.742613i 0.172027 + 0.0900550i
\(69\) −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 \(0.148978\pi\)
−0.203732 + 0.979027i \(0.565307\pi\)
\(72\) −1.05122 4.60569i −0.123887 0.542786i
\(73\) −6.69850 + 5.34188i −0.784000 + 0.625219i −0.931458 0.363849i \(-0.881462\pi\)
0.147458 + 0.989068i \(0.452891\pi\)
\(74\) 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 \(-0.873449\pi\)
0.922004 0.387181i \(-0.126551\pi\)
\(80\) 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 −0.900514 0.434826i \(-0.856810\pi\)
0.901422 + 0.432941i \(0.142524\pi\)
\(98\) −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 \(0.220889\pi\)
\(102\) 11.3120 8.41755i 1.12005 0.833461i
\(103\) 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 −0.762502 0.646986i \(-0.776029\pi\)
−0.967707 + 0.252077i \(0.918886\pi\)
\(108\) −0.924339 0.210974i −0.0889446 0.0203010i
\(109\) −6.02380 + 12.5086i −0.576976 + 1.19810i 0.384478 + 0.923134i \(0.374382\pi\)
−0.961453 + 0.274968i \(0.911333\pi\)
\(110\) −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 0.469542 0.882910i \(-0.344419\pi\)
−0.756291 + 0.654236i \(0.772990\pi\)
\(114\) 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
\(119\) −4.44466 + 3.30739i −0.407441 + 0.303188i
\(120\) 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 0.000777532 1.00000i \(-0.499753\pi\)
0.434584 + 0.900631i \(0.356895\pi\)
\(132\) 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 0.980242 0.197803i \(-0.0633807\pi\)
0.0252805 + 0.999680i \(0.491952\pi\)
\(140\) 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
\(153\) −1.48411 7.67824i −0.119983 0.620749i
\(154\) −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 −0.937165 0.348888i \(-0.886559\pi\)
0.857084 + 0.515177i \(0.172274\pi\)
\(164\) 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 −0.581645 0.813443i \(-0.697591\pi\)
0.663620 + 0.748070i \(0.269019\pi\)
\(168\) 6.67243 3.21327i 0.514789 0.247909i
\(169\) −2.96652 + 12.9972i −0.228194 + 0.999783i
\(170\) −0.701702 + 20.9594i −0.0538181 + 1.60751i
\(171\) 13.8694 1.06062
\(172\) −1.03031 2.32882i −0.0785606 0.177571i
\(173\) 5.75053i 0.437204i 0.975814 + 0.218602i \(0.0701497\pi\)
−0.975814 + 0.218602i \(0.929850\pi\)
\(174\) −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 \(-0.571456\pi\)
0.901007 0.433805i \(-0.142829\pi\)
\(182\) −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
\(187\) −16.2716 + 3.14509i −1.18990 + 0.229992i
\(188\) 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 0.238931 0.971037i \(-0.423203\pi\)
−0.206048 + 0.978542i \(0.566060\pi\)
\(194\) −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 0.761361 0.648328i \(-0.224531\pi\)
0.404664 + 0.914466i \(0.367389\pi\)
\(198\) −9.21158 7.34599i −0.654638 0.522057i
\(199\) −12.7969 10.2052i −0.907151 0.723429i 0.0542655 0.998527i \(-0.482718\pi\)
−0.961416 + 0.275098i \(0.911290\pi\)
\(200\) −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
\(204\) −2.69472 2.30060i −0.188668 0.161074i
\(205\) −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 0.772077 0.635528i \(-0.219218\pi\)
−0.978259 + 0.207389i \(0.933503\pi\)
\(212\) 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 −0.540217 0.841526i \(-0.681658\pi\)
−0.121595 + 0.992580i \(0.538801\pi\)
\(228\) 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 0.697075 0.716998i \(-0.254484\pi\)
0.316949 + 0.948443i \(0.397342\pi\)
\(234\) 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
\(238\) 6.51166 + 5.55931i 0.422088 + 0.360356i
\(239\) −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 0.548314 0.836272i \(-0.315270\pi\)
−0.693294 + 0.720655i \(0.743841\pi\)
\(242\) −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
\(255\) 26.6032 + 13.9266i 1.66596 + 0.872118i
\(256\) −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 \(0.416924\pi\)
−0.916238 + 0.400634i \(0.868790\pi\)
\(270\) −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 \(0.894072\pi\)
\(272\) 19.0623 + 0.638189i 1.15582 + 0.0386959i
\(273\) −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 0.856830 0.515600i \(-0.172431\pi\)
−0.937337 + 0.348425i \(0.886717\pi\)
\(278\) 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 −0.424924 0.905229i \(-0.639699\pi\)
−0.775608 + 0.631215i \(0.782556\pi\)
\(284\) −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
\(289\) −4.88289 + 16.2837i −0.287229 + 0.957862i
\(290\) 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
\(306\) −11.0583 + 4.87655i −0.632160 + 0.278774i
\(307\) −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 0.521086 0.853504i \(-0.325527\pi\)
−0.716153 + 0.697944i \(0.754099\pi\)
\(312\) −12.2711 + 25.4812i −0.694714 + 1.44259i
\(313\) −23.8975 + 5.45444i −1.35077 + 0.308303i −0.835859 0.548943i \(-0.815030\pi\)
−0.514906 + 0.857247i \(0.672173\pi\)
\(314\) 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 0.126213 0.992003i \(-0.459718\pi\)
−0.939047 + 0.343790i \(0.888289\pi\)
\(318\) −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
\(323\) −26.7108 13.9830i −1.48623 0.778033i
\(324\) 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 \(-0.968055\pi\)
0.994968 0.100191i \(-0.0319454\pi\)
\(338\) 20.6028 1.12064
\(339\) 5.37909 + 6.74517i 0.292152 + 0.366347i
\(340\) 5.17402 1.00007i 0.280600 0.0542365i
\(341\) 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 0.839998 0.542590i \(-0.182556\pi\)
0.521391 + 0.853318i \(0.325413\pi\)
\(348\) −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
\(357\) 11.2174 4.94670i 0.593686 0.261807i
\(358\) −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 −0.941451 0.337151i \(-0.890537\pi\)
0.850580 + 0.525845i \(0.176251\pi\)
\(368\) 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 \(0.664522\pi\)
\(374\) 10.3343 + 23.4345i 0.534373 + 1.21177i
\(375\) 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 −0.207123 0.978315i \(-0.566410\pi\)
0.907697 + 0.419626i \(0.137839\pi\)
\(380\) 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
\(391\) −24.1723 + 4.67219i −1.22244 + 0.236283i
\(392\) −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 0.382600 0.923914i \(-0.375029\pi\)
−0.815613 + 0.578597i \(0.803600\pi\)
\(398\) −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 −0.162697 0.986676i \(-0.552019\pi\)
0.281518 + 0.959556i \(0.409162\pi\)
\(402\) −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
\(408\) 10.5394 20.1328i 0.521779 0.996724i
\(409\) 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 −0.936586 0.350439i \(-0.886032\pi\)
0.857936 + 0.513757i \(0.171747\pi\)
\(420\) −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
\(425\) −22.0007 + 9.70198i −1.06719 + 0.470615i
\(426\) −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 \(0.122321\pi\)
−0.927068 + 0.374894i \(0.877679\pi\)
\(432\) −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 −0.911895 0.410424i \(-0.865381\pi\)
0.889439 + 0.457053i \(0.151095\pi\)
\(440\) −20.5433 + 25.7604i −0.979361 + 1.22808i
\(441\) 8.87675 + 4.27482i 0.422702 + 0.203563i
\(442\) −32.6789 1.09406i −1.55438 0.0520391i
\(443\) −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 \(0.0611504\pi\)
−0.462745 + 0.886492i \(0.653135\pi\)
\(450\) −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
\(459\) 0.336818 10.0605i 0.0157213 0.469586i
\(460\) 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
\(476\) 0.997846 1.90613i 0.0457362 0.0873672i
\(477\) −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 \(0.119415\pi\)
−0.930451 + 0.366415i \(0.880585\pi\)
\(480\) −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 −0.00630724 0.999980i \(-0.502008\pi\)
0.428192 + 0.903688i \(0.359151\pi\)
\(488\) −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
\(493\) 9.59476 + 8.19149i 0.432126 + 0.368926i
\(494\) 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 0.632791 0.774322i \(-0.281909\pi\)
−0.614099 + 0.789229i \(0.710480\pi\)
\(500\) 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 −0.735162 0.677891i \(-0.762894\pi\)
0.497306 + 0.867575i \(0.334323\pi\)
\(504\) −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 \(0.590878\pi\)
−0.998134 + 0.0610638i \(0.980551\pi\)
\(522\) 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
\(527\) −2.41452 2.06138i −0.105178 0.0897953i
\(528\) −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 0.793014 0.609203i \(-0.208511\pi\)
0.450158 + 0.892949i \(0.351368\pi\)
\(542\) −10.5921 + 13.2821i −0.454971 + 0.570516i
\(543\) −29.0224 + 36.3930i −1.24547 + 1.56177i
\(544\) −1.69604 8.77472i −0.0727172 0.376213i
\(545\) 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 0.176544 0.984293i \(-0.443508\pi\)
0.586129 + 0.810218i \(0.300651\pi\)
\(548\) 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
\(561\) 36.6525 + 1.22709i 1.54747 + 0.0518079i
\(562\) −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 −0.173288 0.984871i \(-0.555439\pi\)
0.271192 + 0.962525i \(0.412582\pi\)
\(572\) −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 \(0.00307476\pi\)
\(578\) 26.2134 + 1.75717i 1.09034 + 0.0730888i
\(579\) −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 \(-0.820055\pi\)
0.844421 0.535681i \(-0.179945\pi\)
\(602\) −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 0.0996960 0.995018i \(-0.468213\pi\)
0.992255 + 0.124216i \(0.0396416\pi\)
\(608\) 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
\(612\) 1.81303 + 2.43645i 0.0732874 + 0.0984878i
\(613\) 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 0.897552 0.440909i \(-0.145344\pi\)
−0.904331 + 0.426832i \(0.859630\pi\)
\(618\) 23.8156 + 18.9923i 0.958004 + 0.763983i
\(619\) −16.9051 13.4814i −0.679472 0.541861i 0.221812 0.975090i \(-0.428803\pi\)
−0.901284 + 0.433228i \(0.857374\pi\)
\(620\) −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
\(629\) 16.3388 12.1582i 0.651471 0.484777i
\(630\) −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 0.936156 0.351586i \(-0.114358\pi\)
−0.858564 + 0.512706i \(0.828643\pi\)
\(642\) 13.9698 61.2057i 0.551344 2.41559i
\(643\) −4.77023 + 1.08877i −0.188119 + 0.0429370i −0.315543 0.948911i \(-0.602187\pi\)
0.127423 + 0.991848i \(0.459329\pi\)
\(644\) 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 −0.563848 0.825879i \(-0.690679\pi\)
0.679705 + 0.733486i \(0.262108\pi\)
\(654\) −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
\(663\) −21.7137 + 41.4784i −0.843289 + 1.61089i
\(664\) −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 \(0.00176047\pi\)
−0.619156 + 0.785268i \(0.712525\pi\)
\(674\) −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 −0.679138 0.734011i \(-0.737646\pi\)
0.997308 + 0.0733233i \(0.0233605\pi\)
\(678\) 8.31300 10.4242i 0.319259 0.400338i
\(679\) −0.0249589 0.0120196i −0.000957834 0.000461269i
\(680\) 13.6374 + 30.9248i 0.522970 + 1.18591i
\(681\) 22.6322 0.867269
\(682\) −4.78307 −0.183153
\(683\) 20.7441 16.5429i 0.793751 0.632995i −0.140311 0.990108i \(-0.544810\pi\)
0.934061 + 0.357113i \(0.116239\pi\)
\(684\) −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 0.750619 0.660736i \(-0.229756\pi\)
0.389602 + 0.920983i \(0.372613\pi\)
\(692\) −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
\(697\) 19.9281 + 17.0135i 0.754831 + 0.644434i
\(698\) 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 0.597405 0.801939i \(-0.296198\pi\)
0.190295 + 0.981727i \(0.439056\pi\)
\(710\) 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
\(714\) −11.3106 15.1999i −0.423290 0.568841i
\(715\) 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 −0.886302 0.463108i \(-0.846734\pi\)
−0.597596 + 0.801798i \(0.703877\pi\)
\(720\) −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
\(731\) 22.2000 15.4324i 0.821098 0.570787i
\(732\) 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 −0.685245 0.728312i \(-0.740305\pi\)
−0.301382 + 0.953504i \(0.597448\pi\)
\(744\) 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
\(748\) 5.16329 3.84214i 0.188788 0.140483i
\(749\) −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 \(0.369714\pi\)
−0.965382 + 0.260840i \(0.916001\pi\)
\(752\) 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 + 0.0451723i