Properties

Label 570.2.bf.a.269.9
Level $570$
Weight $2$
Character 570.269
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 269.9
Character \(\chi\) \(=\) 570.269
Dual form 570.2.bf.a.89.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.642788 + 0.766044i) q^{2} +(-0.213600 + 1.71883i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-2.00927 + 0.981251i) q^{5} +(-1.17940 - 1.26847i) q^{6} +(-3.44103 + 1.98668i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-2.90875 - 0.734285i) q^{9} +O(q^{10})\) \(q+(-0.642788 + 0.766044i) q^{2} +(-0.213600 + 1.71883i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(-2.00927 + 0.981251i) q^{5} +(-1.17940 - 1.26847i) q^{6} +(-3.44103 + 1.98668i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-2.90875 - 0.734285i) q^{9} +(0.539849 - 2.16992i) q^{10} +(3.19095 + 1.84230i) q^{11} +(1.72981 - 0.0881164i) q^{12} +(-2.53956 - 0.924323i) q^{13} +(0.689967 - 3.91300i) q^{14} +(-1.25742 - 3.66318i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(4.70060 + 3.94427i) q^{17} +(2.43220 - 1.75624i) q^{18} +(-0.557630 - 4.32308i) q^{19} +(1.31525 + 1.80835i) q^{20} +(-2.67976 - 6.33890i) q^{21} +(-3.46239 + 1.26021i) q^{22} +(-1.43032 - 8.11177i) q^{23} +(-1.04440 + 1.38175i) q^{24} +(3.07429 - 3.94319i) q^{25} +(2.34047 - 1.35127i) q^{26} +(1.88342 - 4.84280i) q^{27} +(2.55403 + 3.04377i) q^{28} +(-2.49722 + 2.09542i) q^{29} +(3.61441 + 1.39140i) q^{30} +(-5.40828 + 3.12247i) q^{31} +(0.342020 - 0.939693i) q^{32} +(-3.84819 + 5.09119i) q^{33} +(-6.04297 + 1.06554i) q^{34} +(4.96451 - 7.36828i) q^{35} +(-0.218030 + 2.99207i) q^{36} +5.48605 q^{37} +(3.67011 + 2.35165i) q^{38} +(2.13120 - 4.16763i) q^{39} +(-2.23070 - 0.154844i) q^{40} +(5.54983 - 2.01997i) q^{41} +(6.57840 + 2.02175i) q^{42} +(-9.57801 - 1.68886i) q^{43} +(1.26021 - 3.46239i) q^{44} +(6.56497 - 1.37884i) q^{45} +(7.13337 + 4.11845i) q^{46} +(-8.28350 + 6.95068i) q^{47} +(-0.387156 - 1.68823i) q^{48} +(4.39380 - 7.61029i) q^{49} +(1.04454 + 4.88968i) q^{50} +(-7.78357 + 7.23703i) q^{51} +(-0.469291 + 2.66148i) q^{52} +(-7.81317 + 1.37767i) q^{53} +(2.49916 + 4.55568i) q^{54} +(-8.21923 - 0.570539i) q^{55} -3.97336 q^{56} +(7.54975 - 0.0350595i) q^{57} -3.25989i q^{58} +(3.14279 + 2.63711i) q^{59} +(-3.38918 + 1.87442i) q^{60} +(-0.625224 - 3.54582i) q^{61} +(1.08442 - 6.15007i) q^{62} +(11.4679 - 3.25206i) q^{63} +(0.500000 + 0.866025i) q^{64} +(6.00963 - 0.634732i) q^{65} +(-1.42651 - 6.22044i) q^{66} +(4.03846 - 3.38867i) q^{67} +(3.06810 - 5.31410i) q^{68} +(14.2483 - 0.725806i) q^{69} +(2.45331 + 8.53928i) q^{70} +(0.156103 - 0.885303i) q^{71} +(-2.15191 - 2.09028i) q^{72} +(0.0635095 + 0.174491i) q^{73} +(-3.52637 + 4.20256i) q^{74} +(6.12100 + 6.12645i) q^{75} +(-4.16057 + 1.29985i) q^{76} -14.6402 q^{77} +(1.82268 + 4.31150i) q^{78} +(-2.72968 - 7.49975i) q^{79} +(1.55248 - 1.60928i) q^{80} +(7.92165 + 4.27170i) q^{81} +(-2.01997 + 5.54983i) q^{82} +(2.29598 + 3.97675i) q^{83} +(-5.77727 + 3.73979i) q^{84} +(-13.3151 - 3.31262i) q^{85} +(7.45037 - 6.25160i) q^{86} +(-3.06826 - 4.73988i) q^{87} +(1.84230 + 3.19095i) q^{88} +(-6.92216 - 2.51946i) q^{89} +(-3.16363 + 5.91536i) q^{90} +(10.5750 - 1.86466i) q^{91} +(-7.74016 + 2.81719i) q^{92} +(-4.21178 - 9.96287i) q^{93} -10.8133i q^{94} +(5.36246 + 8.13905i) q^{95} +(1.54212 + 0.788593i) q^{96} +(-6.07708 - 5.09928i) q^{97} +(3.00554 + 8.25764i) q^{98} +(-7.92892 - 7.70185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.642788 + 0.766044i −0.454519 + 0.541675i
\(3\) −0.213600 + 1.71883i −0.123322 + 0.992367i
\(4\) −0.173648 0.984808i −0.0868241 0.492404i
\(5\) −2.00927 + 0.981251i −0.898571 + 0.438829i
\(6\) −1.17940 1.26847i −0.481488 0.517851i
\(7\) −3.44103 + 1.98668i −1.30059 + 0.750895i −0.980505 0.196495i \(-0.937044\pi\)
−0.320083 + 0.947390i \(0.603711\pi\)
\(8\) 0.866025 + 0.500000i 0.306186 + 0.176777i
\(9\) −2.90875 0.734285i −0.969583 0.244762i
\(10\) 0.539849 2.16992i 0.170715 0.686190i
\(11\) 3.19095 + 1.84230i 0.962109 + 0.555474i 0.896821 0.442393i \(-0.145870\pi\)
0.0652874 + 0.997866i \(0.479204\pi\)
\(12\) 1.72981 0.0881164i 0.499353 0.0254370i
\(13\) −2.53956 0.924323i −0.704346 0.256361i −0.0350807 0.999384i \(-0.511169\pi\)
−0.669265 + 0.743023i \(0.733391\pi\)
\(14\) 0.689967 3.91300i 0.184401 1.04579i
\(15\) −1.25742 3.66318i −0.324665 0.945829i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 4.70060 + 3.94427i 1.14006 + 0.956626i 0.999441 0.0334378i \(-0.0106456\pi\)
0.140621 + 0.990063i \(0.455090\pi\)
\(18\) 2.43220 1.75624i 0.573276 0.413950i
\(19\) −0.557630 4.32308i −0.127929 0.991783i
\(20\) 1.31525 + 1.80835i 0.294099 + 0.404359i
\(21\) −2.67976 6.33890i −0.584772 1.38326i
\(22\) −3.46239 + 1.26021i −0.738184 + 0.268677i
\(23\) −1.43032 8.11177i −0.298243 1.69142i −0.653720 0.756736i \(-0.726793\pi\)
0.355477 0.934685i \(-0.384318\pi\)
\(24\) −1.04440 + 1.38175i −0.213187 + 0.282049i
\(25\) 3.07429 3.94319i 0.614859 0.788637i
\(26\) 2.34047 1.35127i 0.459003 0.265006i
\(27\) 1.88342 4.84280i 0.362464 0.931998i
\(28\) 2.55403 + 3.04377i 0.482666 + 0.575219i
\(29\) −2.49722 + 2.09542i −0.463722 + 0.389109i −0.844498 0.535558i \(-0.820101\pi\)
0.380776 + 0.924667i \(0.375657\pi\)
\(30\) 3.61441 + 1.39140i 0.659899 + 0.254035i
\(31\) −5.40828 + 3.12247i −0.971355 + 0.560812i −0.899649 0.436614i \(-0.856178\pi\)
−0.0717061 + 0.997426i \(0.522844\pi\)
\(32\) 0.342020 0.939693i 0.0604612 0.166116i
\(33\) −3.84819 + 5.09119i −0.669883 + 0.886263i
\(34\) −6.04297 + 1.06554i −1.03636 + 0.182738i
\(35\) 4.96451 7.36828i 0.839156 1.24547i
\(36\) −0.218030 + 2.99207i −0.0363384 + 0.498678i
\(37\) 5.48605 0.901901 0.450951 0.892549i \(-0.351085\pi\)
0.450951 + 0.892549i \(0.351085\pi\)
\(38\) 3.67011 + 2.35165i 0.595371 + 0.381489i
\(39\) 2.13120 4.16763i 0.341266 0.667355i
\(40\) −2.23070 0.154844i −0.352705 0.0244830i
\(41\) 5.54983 2.01997i 0.866738 0.315467i 0.129893 0.991528i \(-0.458537\pi\)
0.736846 + 0.676061i \(0.236314\pi\)
\(42\) 6.57840 + 2.02175i 1.01507 + 0.311963i
\(43\) −9.57801 1.68886i −1.46063 0.257549i −0.613823 0.789444i \(-0.710369\pi\)
−0.846811 + 0.531895i \(0.821480\pi\)
\(44\) 1.26021 3.46239i 0.189983 0.521975i
\(45\) 6.56497 1.37884i 0.978648 0.205545i
\(46\) 7.13337 + 4.11845i 1.05176 + 0.607233i
\(47\) −8.28350 + 6.95068i −1.20827 + 1.01386i −0.208918 + 0.977933i \(0.566994\pi\)
−0.999354 + 0.0359278i \(0.988561\pi\)
\(48\) −0.387156 1.68823i −0.0558811 0.243675i
\(49\) 4.39380 7.61029i 0.627686 1.08718i
\(50\) 1.04454 + 4.88968i 0.147720 + 0.691505i
\(51\) −7.78357 + 7.23703i −1.08992 + 1.01339i
\(52\) −0.469291 + 2.66148i −0.0650789 + 0.369081i
\(53\) −7.81317 + 1.37767i −1.07322 + 0.189238i −0.682216 0.731150i \(-0.738984\pi\)
−0.391006 + 0.920388i \(0.627873\pi\)
\(54\) 2.49916 + 4.55568i 0.340093 + 0.619949i
\(55\) −8.21923 0.570539i −1.10828 0.0769315i
\(56\) −3.97336 −0.530963
\(57\) 7.54975 0.0350595i 0.999989 0.00464374i
\(58\) 3.25989i 0.428044i
\(59\) 3.14279 + 2.63711i 0.409157 + 0.343323i 0.824020 0.566561i \(-0.191726\pi\)
−0.414864 + 0.909884i \(0.636171\pi\)
\(60\) −3.38918 + 1.87442i −0.437541 + 0.241987i
\(61\) −0.625224 3.54582i −0.0800517 0.453996i −0.998315 0.0580256i \(-0.981520\pi\)
0.918263 0.395970i \(-0.129592\pi\)
\(62\) 1.08442 6.15007i 0.137722 0.781059i
\(63\) 11.4679 3.25206i 1.44482 0.409721i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) 6.00963 0.634732i 0.745403 0.0787288i
\(66\) −1.42651 6.22044i −0.175592 0.765683i
\(67\) 4.03846 3.38867i 0.493377 0.413992i −0.361858 0.932233i \(-0.617857\pi\)
0.855235 + 0.518241i \(0.173413\pi\)
\(68\) 3.06810 5.31410i 0.372061 0.644429i
\(69\) 14.2483 0.725806i 1.71529 0.0873768i
\(70\) 2.45331 + 8.53928i 0.293226 + 1.02064i
\(71\) 0.156103 0.885303i 0.0185260 0.105066i −0.974143 0.225934i \(-0.927457\pi\)
0.992669 + 0.120868i \(0.0385677\pi\)
\(72\) −2.15191 2.09028i −0.253605 0.246342i
\(73\) 0.0635095 + 0.174491i 0.00743323 + 0.0204226i 0.943354 0.331789i \(-0.107652\pi\)
−0.935921 + 0.352211i \(0.885430\pi\)
\(74\) −3.52637 + 4.20256i −0.409932 + 0.488538i
\(75\) 6.12100 + 6.12645i 0.706792 + 0.707422i
\(76\) −4.16057 + 1.29985i −0.477251 + 0.149103i
\(77\) −14.6402 −1.66841
\(78\) 1.82268 + 4.31150i 0.206378 + 0.488181i
\(79\) −2.72968 7.49975i −0.307114 0.843788i −0.993216 0.116283i \(-0.962902\pi\)
0.686103 0.727505i \(-0.259320\pi\)
\(80\) 1.55248 1.60928i 0.173573 0.179923i
\(81\) 7.92165 + 4.27170i 0.880183 + 0.474634i
\(82\) −2.01997 + 5.54983i −0.223069 + 0.612877i
\(83\) 2.29598 + 3.97675i 0.252016 + 0.436505i 0.964081 0.265609i \(-0.0855731\pi\)
−0.712065 + 0.702114i \(0.752240\pi\)
\(84\) −5.77727 + 3.73979i −0.630351 + 0.408044i
\(85\) −13.3151 3.31262i −1.44422 0.359304i
\(86\) 7.45037 6.25160i 0.803394 0.674128i
\(87\) −3.06826 4.73988i −0.328952 0.508168i
\(88\) 1.84230 + 3.19095i 0.196390 + 0.340157i
\(89\) −6.92216 2.51946i −0.733748 0.267062i −0.0519974 0.998647i \(-0.516559\pi\)
−0.681750 + 0.731585i \(0.738781\pi\)
\(90\) −3.16363 + 5.91536i −0.333476 + 0.623534i
\(91\) 10.5750 1.86466i 1.10856 0.195470i
\(92\) −7.74016 + 2.81719i −0.806968 + 0.293712i
\(93\) −4.21178 9.96287i −0.436742 1.03310i
\(94\) 10.8133i 1.11531i
\(95\) 5.36246 + 8.13905i 0.550176 + 0.835048i
\(96\) 1.54212 + 0.788593i 0.157392 + 0.0804854i
\(97\) −6.07708 5.09928i −0.617034 0.517753i 0.279836 0.960048i \(-0.409720\pi\)
−0.896870 + 0.442295i \(0.854164\pi\)
\(98\) 3.00554 + 8.25764i 0.303605 + 0.834148i
\(99\) −7.92892 7.70185i −0.796886 0.774066i
\(100\) −4.41713 2.34286i −0.441713 0.234286i
\(101\) −2.30123 + 6.32259i −0.228981 + 0.629121i −0.999970 0.00772758i \(-0.997540\pi\)
0.770989 + 0.636849i \(0.219762\pi\)
\(102\) −0.540699 10.6144i −0.0535372 1.05099i
\(103\) −7.95354 + 13.7759i −0.783686 + 1.35738i 0.146096 + 0.989270i \(0.453329\pi\)
−0.929781 + 0.368113i \(0.880004\pi\)
\(104\) −1.73716 2.07026i −0.170342 0.203006i
\(105\) 11.6044 + 10.1070i 1.13247 + 0.986344i
\(106\) 3.96685 6.87079i 0.385295 0.667350i
\(107\) −11.3788 + 6.56958i −1.10003 + 0.635105i −0.936230 0.351388i \(-0.885710\pi\)
−0.163804 + 0.986493i \(0.552377\pi\)
\(108\) −5.09628 1.01386i −0.490390 0.0975591i
\(109\) 2.03175 + 0.358253i 0.194607 + 0.0343144i 0.270102 0.962832i \(-0.412943\pi\)
−0.0754951 + 0.997146i \(0.524054\pi\)
\(110\) 5.72028 5.92956i 0.545407 0.565361i
\(111\) −1.17182 + 9.42959i −0.111224 + 0.895017i
\(112\) 2.55403 3.04377i 0.241333 0.287609i
\(113\) 4.74390i 0.446269i −0.974788 0.223134i \(-0.928371\pi\)
0.974788 0.223134i \(-0.0716289\pi\)
\(114\) −4.82603 + 5.80598i −0.451999 + 0.543780i
\(115\) 10.8336 + 14.8952i 1.01024 + 1.38898i
\(116\) 2.49722 + 2.09542i 0.231861 + 0.194554i
\(117\) 6.70822 + 4.55338i 0.620175 + 0.420960i
\(118\) −4.04029 + 0.712413i −0.371939 + 0.0655829i
\(119\) −24.0109 4.23377i −2.20108 0.388109i
\(120\) 0.742629 3.80112i 0.0677925 0.346993i
\(121\) 1.28813 + 2.23110i 0.117102 + 0.202827i
\(122\) 3.11814 + 1.80026i 0.282303 + 0.162988i
\(123\) 2.28654 + 9.97068i 0.206171 + 0.899026i
\(124\) 4.01417 + 4.78390i 0.360483 + 0.429607i
\(125\) −2.30782 + 10.9396i −0.206417 + 0.978464i
\(126\) −4.88020 + 10.8753i −0.434762 + 0.968848i
\(127\) 2.92253 + 1.06371i 0.259332 + 0.0943893i 0.468415 0.883509i \(-0.344825\pi\)
−0.209082 + 0.977898i \(0.567048\pi\)
\(128\) −0.984808 0.173648i −0.0870455 0.0153485i
\(129\) 4.94873 16.1022i 0.435712 1.41772i
\(130\) −3.37669 + 5.01164i −0.296155 + 0.439550i
\(131\) −10.7385 + 12.7976i −0.938223 + 1.11813i 0.0545962 + 0.998509i \(0.482613\pi\)
−0.992819 + 0.119622i \(0.961832\pi\)
\(132\) 5.68207 + 2.90565i 0.494561 + 0.252904i
\(133\) 10.5074 + 13.7680i 0.911108 + 1.19384i
\(134\) 5.27184i 0.455417i
\(135\) 0.967712 + 11.5786i 0.0832874 + 0.996526i
\(136\) 2.09870 + 5.76613i 0.179962 + 0.494442i
\(137\) −1.03098 5.84696i −0.0880822 0.499539i −0.996649 0.0817992i \(-0.973933\pi\)
0.908567 0.417740i \(-0.137178\pi\)
\(138\) −8.60261 + 11.3813i −0.732303 + 0.968845i
\(139\) −14.3234 5.21328i −1.21489 0.442184i −0.346493 0.938052i \(-0.612628\pi\)
−0.868398 + 0.495868i \(0.834850\pi\)
\(140\) −8.11842 3.60960i −0.686132 0.305067i
\(141\) −10.1777 15.7226i −0.857115 1.32408i
\(142\) 0.577840 + 0.688643i 0.0484913 + 0.0577897i
\(143\) −6.40073 7.62809i −0.535256 0.637893i
\(144\) 2.98447 0.304849i 0.248706 0.0254041i
\(145\) 2.96145 6.66064i 0.245935 0.553136i
\(146\) −0.174491 0.0635095i −0.0144410 0.00525609i
\(147\) 12.1423 + 9.17775i 1.00148 + 0.756968i
\(148\) −0.952643 5.40271i −0.0783067 0.444100i
\(149\) 5.53602 + 15.2101i 0.453529 + 1.24606i 0.930224 + 0.366991i \(0.119612\pi\)
−0.476696 + 0.879068i \(0.658166\pi\)
\(150\) −8.62763 + 0.750947i −0.704443 + 0.0613146i
\(151\) 2.92592i 0.238108i 0.992888 + 0.119054i \(0.0379861\pi\)
−0.992888 + 0.119054i \(0.962014\pi\)
\(152\) 1.67862 4.02272i 0.136154 0.326285i
\(153\) −10.7766 14.9245i −0.871240 1.20657i
\(154\) 9.41056 11.2151i 0.758325 0.903736i
\(155\) 7.80274 11.5807i 0.626731 0.930188i
\(156\) −4.47439 1.37512i −0.358238 0.110098i
\(157\) −16.5618 2.92028i −1.32177 0.233064i −0.532146 0.846653i \(-0.678614\pi\)
−0.789626 + 0.613589i \(0.789725\pi\)
\(158\) 7.49975 + 2.72968i 0.596648 + 0.217162i
\(159\) −0.699089 13.7238i −0.0554414 1.08837i
\(160\) 0.234865 + 2.22370i 0.0185677 + 0.175799i
\(161\) 21.0373 + 25.0713i 1.65797 + 1.97589i
\(162\) −8.36425 + 3.32254i −0.657158 + 0.261043i
\(163\) −4.78129 2.76048i −0.374499 0.216217i 0.300923 0.953648i \(-0.402705\pi\)
−0.675422 + 0.737431i \(0.736039\pi\)
\(164\) −2.95300 5.11475i −0.230591 0.399395i
\(165\) 2.73629 14.0056i 0.213020 1.09033i
\(166\) −4.52219 0.797384i −0.350990 0.0618890i
\(167\) 9.00117 1.58715i 0.696531 0.122817i 0.185838 0.982580i \(-0.440500\pi\)
0.510693 + 0.859763i \(0.329389\pi\)
\(168\) 0.848711 6.82953i 0.0654795 0.526910i
\(169\) −4.36361 3.66150i −0.335662 0.281654i
\(170\) 11.0964 8.07062i 0.851053 0.618988i
\(171\) −1.55237 + 12.9842i −0.118713 + 0.992929i
\(172\) 9.72577i 0.741583i
\(173\) 11.1541 13.2930i 0.848032 1.01065i −0.151721 0.988423i \(-0.548482\pi\)
0.999753 0.0222218i \(-0.00707402\pi\)
\(174\) 5.60319 + 0.696313i 0.424777 + 0.0527874i
\(175\) −2.74489 + 19.6763i −0.207494 + 1.48739i
\(176\) −3.62862 0.639823i −0.273517 0.0482285i
\(177\) −5.20405 + 4.83863i −0.391160 + 0.363694i
\(178\) 6.37950 3.68321i 0.478164 0.276068i
\(179\) −4.24912 + 7.35969i −0.317594 + 0.550089i −0.979986 0.199069i \(-0.936208\pi\)
0.662391 + 0.749158i \(0.269542\pi\)
\(180\) −2.49789 6.22580i −0.186182 0.464044i
\(181\) 7.15652 + 8.52881i 0.531940 + 0.633941i 0.963361 0.268209i \(-0.0864319\pi\)
−0.431421 + 0.902151i \(0.641987\pi\)
\(182\) −5.36908 + 9.29952i −0.397983 + 0.689326i
\(183\) 6.22821 0.317265i 0.460402 0.0234529i
\(184\) 2.81719 7.74016i 0.207686 0.570612i
\(185\) −11.0229 + 5.38319i −0.810422 + 0.395780i
\(186\) 10.3393 + 3.17759i 0.758113 + 0.232992i
\(187\) 7.73287 + 21.2459i 0.565483 + 1.55365i
\(188\) 8.28350 + 6.95068i 0.604136 + 0.506930i
\(189\) 3.14019 + 20.4060i 0.228415 + 1.48432i
\(190\) −9.68179 1.12380i −0.702391 0.0815289i
\(191\) 10.7405i 0.777158i −0.921415 0.388579i \(-0.872966\pi\)
0.921415 0.388579i \(-0.127034\pi\)
\(192\) −1.59535 + 0.674431i −0.115134 + 0.0486729i
\(193\) −2.36363 + 0.860293i −0.170138 + 0.0619252i −0.425685 0.904871i \(-0.639967\pi\)
0.255547 + 0.966797i \(0.417745\pi\)
\(194\) 7.81254 1.37756i 0.560908 0.0989032i
\(195\) −0.192664 + 10.4651i −0.0137969 + 0.749422i
\(196\) −8.25764 3.00554i −0.589832 0.214681i
\(197\) −2.03754 3.52912i −0.145168 0.251439i 0.784267 0.620423i \(-0.213039\pi\)
−0.929436 + 0.368984i \(0.879706\pi\)
\(198\) 10.9966 1.12324i 0.781492 0.0798255i
\(199\) 14.4450 12.1208i 1.02398 0.859219i 0.0338557 0.999427i \(-0.489221\pi\)
0.990122 + 0.140207i \(0.0447769\pi\)
\(200\) 4.63401 1.87775i 0.327674 0.132777i
\(201\) 4.96193 + 7.66525i 0.349988 + 0.540665i
\(202\) −3.36418 5.82693i −0.236703 0.409981i
\(203\) 4.43009 12.1716i 0.310931 0.854277i
\(204\) 8.47868 + 6.40863i 0.593627 + 0.448694i
\(205\) −9.16899 + 9.50444i −0.640390 + 0.663819i
\(206\) −5.44054 14.9478i −0.379061 1.04146i
\(207\) −1.79590 + 24.6454i −0.124823 + 1.71297i
\(208\) 2.70254 0.187387
\(209\) 6.18504 14.8221i 0.427828 1.02526i
\(210\) −15.2016 + 2.39282i −1.04901 + 0.165120i
\(211\) −11.8644 + 14.1394i −0.816776 + 0.973396i −0.999953 0.00968393i \(-0.996917\pi\)
0.183177 + 0.983080i \(0.441362\pi\)
\(212\) 2.71349 + 7.45524i 0.186363 + 0.512028i
\(213\) 1.48834 + 0.457415i 0.101979 + 0.0313416i
\(214\) 2.28159 12.9395i 0.155966 0.884529i
\(215\) 20.9020 6.00506i 1.42550 0.409542i
\(216\) 4.05249 3.25228i 0.275737 0.221290i
\(217\) 12.4067 21.4890i 0.842222 1.45877i
\(218\) −1.58042 + 1.32613i −0.107040 + 0.0898171i
\(219\) −0.313486 + 0.0718907i −0.0211834 + 0.00485793i
\(220\) 0.865383 + 8.19343i 0.0583441 + 0.552401i
\(221\) −8.29165 14.3616i −0.557757 0.966063i
\(222\) −6.47025 6.95889i −0.434255 0.467050i
\(223\) 4.09234 23.2088i 0.274043 1.55418i −0.467940 0.883760i \(-0.655004\pi\)
0.741984 0.670418i \(-0.233885\pi\)
\(224\) 0.689967 + 3.91300i 0.0461004 + 0.261448i
\(225\) −11.8378 + 9.21234i −0.789185 + 0.614156i
\(226\) 3.63404 + 3.04932i 0.241733 + 0.202838i
\(227\) 13.1734i 0.874346i −0.899377 0.437173i \(-0.855980\pi\)
0.899377 0.437173i \(-0.144020\pi\)
\(228\) −1.34553 7.42897i −0.0891097 0.491995i
\(229\) 5.99830 0.396379 0.198189 0.980164i \(-0.436494\pi\)
0.198189 + 0.980164i \(0.436494\pi\)
\(230\) −18.3741 1.27544i −1.21155 0.0841000i
\(231\) 3.12716 25.1641i 0.205752 1.65567i
\(232\) −3.21036 + 0.566074i −0.210771 + 0.0371646i
\(233\) −2.18985 + 12.4192i −0.143462 + 0.813612i 0.825128 + 0.564946i \(0.191103\pi\)
−0.968589 + 0.248666i \(0.920008\pi\)
\(234\) −7.80005 + 2.21193i −0.509905 + 0.144599i
\(235\) 9.82338 22.0940i 0.640807 1.44125i
\(236\) 2.05131 3.55297i 0.133529 0.231279i
\(237\) 13.4738 3.08991i 0.875221 0.200712i
\(238\) 18.6772 15.6720i 1.21066 1.01587i
\(239\) −8.75603 5.05530i −0.566381 0.327000i 0.189322 0.981915i \(-0.439371\pi\)
−0.755703 + 0.654915i \(0.772704\pi\)
\(240\) 2.43447 + 3.01220i 0.157145 + 0.194437i
\(241\) −4.41995 + 12.1437i −0.284714 + 0.782246i 0.712070 + 0.702109i \(0.247758\pi\)
−0.996784 + 0.0801370i \(0.974464\pi\)
\(242\) −2.53711 0.447361i −0.163092 0.0287575i
\(243\) −9.03440 + 12.7035i −0.579557 + 0.814932i
\(244\) −3.38338 + 1.23145i −0.216599 + 0.0788355i
\(245\) −1.36071 + 19.6025i −0.0869326 + 1.25236i
\(246\) −9.10775 4.65744i −0.580689 0.296947i
\(247\) −2.57979 + 11.4941i −0.164148 + 0.731355i
\(248\) −6.24494 −0.396554
\(249\) −7.32577 + 3.09696i −0.464252 + 0.196262i
\(250\) −6.89675 8.79970i −0.436189 0.556542i
\(251\) −10.9660 + 1.93359i −0.692165 + 0.122047i −0.508655 0.860970i \(-0.669857\pi\)
−0.183510 + 0.983018i \(0.558746\pi\)
\(252\) −5.19403 10.7290i −0.327193 0.675861i
\(253\) 10.3802 28.5194i 0.652598 1.79300i
\(254\) −2.69342 + 1.55504i −0.169000 + 0.0975722i
\(255\) 8.53793 22.1787i 0.534666 1.38889i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 0.457732 + 0.545503i 0.0285525 + 0.0340276i 0.780132 0.625615i \(-0.215152\pi\)
−0.751579 + 0.659643i \(0.770708\pi\)
\(258\) 9.15404 + 14.1413i 0.569906 + 0.880397i
\(259\) −18.8777 + 10.8990i −1.17300 + 0.677233i
\(260\) −1.66865 5.80811i −0.103485 0.360204i
\(261\) 8.80242 4.26137i 0.544856 0.263772i
\(262\) −2.90098 16.4523i −0.179223 1.01642i
\(263\) −14.9588 + 5.44456i −0.922400 + 0.335726i −0.759193 0.650866i \(-0.774406\pi\)
−0.163207 + 0.986592i \(0.552184\pi\)
\(264\) −5.87822 + 2.48501i −0.361780 + 0.152942i
\(265\) 14.3469 10.4348i 0.881323 0.641004i
\(266\) −17.3010 0.800779i −1.06079 0.0490989i
\(267\) 5.80910 11.3599i 0.355511 0.695212i
\(268\) −4.03846 3.38867i −0.246688 0.206996i
\(269\) 18.9131 6.88381i 1.15315 0.419713i 0.306506 0.951869i \(-0.400840\pi\)
0.846646 + 0.532156i \(0.178618\pi\)
\(270\) −9.49174 6.70126i −0.577649 0.407826i
\(271\) −1.80247 + 10.2223i −0.109492 + 0.620963i 0.879838 + 0.475274i \(0.157651\pi\)
−0.989330 + 0.145689i \(0.953460\pi\)
\(272\) −5.76613 2.09870i −0.349623 0.127252i
\(273\) 0.946208 + 18.5750i 0.0572671 + 1.12421i
\(274\) 5.14173 + 2.96858i 0.310623 + 0.179338i
\(275\) 17.0745 6.91876i 1.02963 0.417217i
\(276\) −3.18897 13.9058i −0.191953 0.837029i
\(277\) 4.79388 + 2.76775i 0.288036 + 0.166298i 0.637056 0.770818i \(-0.280152\pi\)
−0.349020 + 0.937115i \(0.613485\pi\)
\(278\) 13.2005 7.62130i 0.791712 0.457095i
\(279\) 18.0241 5.11127i 1.07908 0.306004i
\(280\) 7.98354 3.89886i 0.477108 0.233002i
\(281\) −4.66377 26.4496i −0.278217 1.57785i −0.728553 0.684990i \(-0.759807\pi\)
0.450335 0.892860i \(-0.351305\pi\)
\(282\) 18.5863 + 2.30973i 1.10680 + 0.137543i
\(283\) −11.5989 + 13.8230i −0.689483 + 0.821693i −0.991293 0.131675i \(-0.957965\pi\)
0.301810 + 0.953368i \(0.402409\pi\)
\(284\) −0.898960 −0.0533435
\(285\) −15.1351 + 7.47865i −0.896523 + 0.442997i
\(286\) 9.95776 0.588815
\(287\) −15.0841 + 17.9765i −0.890387 + 1.06112i
\(288\) −1.68485 + 2.48219i −0.0992809 + 0.146264i
\(289\) 3.58633 + 20.3391i 0.210961 + 1.19642i
\(290\) 3.19877 + 6.54998i 0.187838 + 0.384628i
\(291\) 10.0629 9.35626i 0.589895 0.548474i
\(292\) 0.160812 0.0928447i 0.00941080 0.00543333i
\(293\) 6.53655 + 3.77388i 0.381870 + 0.220472i 0.678631 0.734479i \(-0.262573\pi\)
−0.296762 + 0.954952i \(0.595907\pi\)
\(294\) −14.8355 + 3.40217i −0.865222 + 0.198419i
\(295\) −8.90237 2.21480i −0.518316 0.128950i
\(296\) 4.75106 + 2.74303i 0.276150 + 0.159435i
\(297\) 14.9318 11.9833i 0.866431 0.695344i
\(298\) −15.2101 5.53602i −0.881097 0.320693i
\(299\) −3.86551 + 21.9224i −0.223548 + 1.26780i
\(300\) 4.97048 7.09185i 0.286971 0.409448i
\(301\) 36.3135 13.2170i 2.09307 0.761817i
\(302\) −2.24138 1.88074i −0.128977 0.108225i
\(303\) −10.3759 5.30594i −0.596080 0.304818i
\(304\) 2.00258 + 3.87165i 0.114856 + 0.222054i
\(305\) 4.73558 + 6.51099i 0.271158 + 0.372818i
\(306\) 18.3599 + 1.33788i 1.04957 + 0.0764813i
\(307\) 25.8542 9.41014i 1.47557 0.537065i 0.525967 0.850505i \(-0.323704\pi\)
0.949608 + 0.313440i \(0.101481\pi\)
\(308\) 2.54225 + 14.4178i 0.144858 + 0.821531i
\(309\) −21.9796 16.6133i −1.25038 0.945099i
\(310\) 3.85587 + 13.4212i 0.218998 + 0.762273i
\(311\) −13.6726 + 7.89390i −0.775304 + 0.447622i −0.834763 0.550609i \(-0.814396\pi\)
0.0594596 + 0.998231i \(0.481062\pi\)
\(312\) 3.92949 2.54367i 0.222464 0.144007i
\(313\) 8.66681 + 10.3287i 0.489877 + 0.583813i 0.953186 0.302384i \(-0.0977825\pi\)
−0.463309 + 0.886197i \(0.653338\pi\)
\(314\) 12.8828 10.8099i 0.727016 0.610039i
\(315\) −19.8509 + 17.7871i −1.11847 + 1.00219i
\(316\) −6.91180 + 3.99053i −0.388819 + 0.224485i
\(317\) 5.96430 16.3868i 0.334988 0.920373i −0.651805 0.758387i \(-0.725988\pi\)
0.986793 0.161986i \(-0.0517899\pi\)
\(318\) 10.9624 + 8.28595i 0.614741 + 0.464653i
\(319\) −11.8289 + 2.08575i −0.662291 + 0.116780i
\(320\) −1.85442 1.24945i −0.103665 0.0698463i
\(321\) −8.86146 20.9616i −0.494598 1.16996i
\(322\) −32.7282 −1.82387
\(323\) 14.4302 22.5205i 0.802918 1.25307i
\(324\) 2.83123 8.54308i 0.157290 0.474615i
\(325\) −11.4521 + 7.17230i −0.635249 + 0.397848i
\(326\) 5.18800 1.88828i 0.287337 0.104582i
\(327\) −1.04976 + 3.41572i −0.0580518 + 0.188890i
\(328\) 5.81628 + 1.02557i 0.321151 + 0.0566275i
\(329\) 14.6950 40.3742i 0.810162 2.22590i
\(330\) 8.97005 + 11.0987i 0.493785 + 0.610965i
\(331\) −10.3770 5.99116i −0.570371 0.329304i 0.186927 0.982374i \(-0.440147\pi\)
−0.757297 + 0.653070i \(0.773481\pi\)
\(332\) 3.51764 2.95165i 0.193056 0.161993i
\(333\) −15.9575 4.02832i −0.874468 0.220751i
\(334\) −4.57001 + 7.91549i −0.250060 + 0.433117i
\(335\) −4.78920 + 10.7715i −0.261662 + 0.588509i
\(336\) 4.68618 + 5.04009i 0.255652 + 0.274959i
\(337\) 3.86733 21.9327i 0.210667 1.19475i −0.677603 0.735428i \(-0.736981\pi\)
0.888270 0.459323i \(-0.151908\pi\)
\(338\) 5.60974 0.989149i 0.305130 0.0538026i
\(339\) 8.15396 + 1.01330i 0.442862 + 0.0550349i
\(340\) −0.950155 + 13.6880i −0.0515294 + 0.742336i
\(341\) −23.0101 −1.24607
\(342\) −8.94865 9.53528i −0.483888 0.515609i
\(343\) 7.10278i 0.383514i
\(344\) −7.45037 6.25160i −0.401697 0.337064i
\(345\) −27.9164 + 15.4395i −1.50297 + 0.831233i
\(346\) 3.01327 + 17.0891i 0.161994 + 0.918716i
\(347\) 0.402185 2.28090i 0.0215904 0.122445i −0.972108 0.234535i \(-0.924643\pi\)
0.993698 + 0.112090i \(0.0357544\pi\)
\(348\) −4.13507 + 3.84471i −0.221663 + 0.206098i
\(349\) 4.07912 + 7.06525i 0.218350 + 0.378194i 0.954304 0.298838i \(-0.0965991\pi\)
−0.735953 + 0.677032i \(0.763266\pi\)
\(350\) −13.3085 14.7504i −0.711370 0.788440i
\(351\) −9.25936 + 10.5577i −0.494228 + 0.563527i
\(352\) 2.82256 2.36841i 0.150443 0.126237i
\(353\) −1.15242 + 1.99605i −0.0613372 + 0.106239i −0.895063 0.445939i \(-0.852870\pi\)
0.833726 + 0.552178i \(0.186203\pi\)
\(354\) −0.361508 7.09675i −0.0192139 0.377188i
\(355\) 0.555052 + 1.93198i 0.0294591 + 0.102539i
\(356\) −1.27916 + 7.25450i −0.0677956 + 0.384488i
\(357\) 12.4059 40.3663i 0.656588 2.13641i
\(358\) −2.90657 7.98573i −0.153617 0.422059i
\(359\) 8.80452 10.4928i 0.464685 0.553790i −0.481908 0.876222i \(-0.660056\pi\)
0.946593 + 0.322432i \(0.104500\pi\)
\(360\) 6.37485 + 2.08837i 0.335984 + 0.110067i
\(361\) −18.3781 + 4.82136i −0.967268 + 0.253756i
\(362\) −11.1336 −0.585167
\(363\) −4.11002 + 1.73751i −0.215720 + 0.0911954i
\(364\) −3.67267 10.0906i −0.192500 0.528890i
\(365\) −0.298827 0.288280i −0.0156413 0.0150893i
\(366\) −3.76038 + 4.97502i −0.196558 + 0.260048i
\(367\) −1.22644 + 3.36962i −0.0640197 + 0.175893i −0.967578 0.252573i \(-0.918723\pi\)
0.903558 + 0.428465i \(0.140946\pi\)
\(368\) 4.11845 + 7.13337i 0.214689 + 0.371853i
\(369\) −17.6263 + 1.80044i −0.917589 + 0.0937272i
\(370\) 2.96164 11.9043i 0.153968 0.618875i
\(371\) 24.1484 20.2629i 1.25372 1.05200i
\(372\) −9.08014 + 5.87783i −0.470783 + 0.304751i
\(373\) 15.6386 + 27.0868i 0.809734 + 1.40250i 0.913048 + 0.407852i \(0.133722\pi\)
−0.103314 + 0.994649i \(0.532945\pi\)
\(374\) −21.2459 7.73287i −1.09860 0.399857i
\(375\) −18.3103 6.30343i −0.945539 0.325508i
\(376\) −10.6491 + 1.87772i −0.549183 + 0.0968358i
\(377\) 8.27867 3.01319i 0.426373 0.155187i
\(378\) −17.6504 10.7112i −0.907837 0.550924i
\(379\) 25.0952i 1.28906i 0.764581 + 0.644528i \(0.222946\pi\)
−0.764581 + 0.644528i \(0.777054\pi\)
\(380\) 7.08421 6.69432i 0.363413 0.343411i
\(381\) −2.45259 + 4.79612i −0.125650 + 0.245713i
\(382\) 8.22773 + 6.90388i 0.420967 + 0.353233i
\(383\) 7.67222 + 21.0793i 0.392032 + 1.07710i 0.966072 + 0.258272i \(0.0831532\pi\)
−0.574040 + 0.818827i \(0.694625\pi\)
\(384\) 0.508827 1.65563i 0.0259660 0.0844883i
\(385\) 29.4161 14.3657i 1.49918 0.732146i
\(386\) 0.860293 2.36363i 0.0437877 0.120306i
\(387\) 26.6199 + 11.9455i 1.35317 + 0.607222i
\(388\) −3.96653 + 6.87024i −0.201370 + 0.348783i
\(389\) 14.4837 + 17.2610i 0.734351 + 0.875166i 0.995941 0.0900135i \(-0.0286910\pi\)
−0.261589 + 0.965179i \(0.584247\pi\)
\(390\) −7.89290 6.87443i −0.399673 0.348101i
\(391\) 25.2716 43.7717i 1.27804 2.21363i
\(392\) 7.61029 4.39380i 0.384377 0.221920i
\(393\) −19.7031 21.1911i −0.993892 1.06895i
\(394\) 4.01316 + 0.707629i 0.202180 + 0.0356498i
\(395\) 12.8438 + 12.3905i 0.646241 + 0.623433i
\(396\) −6.20800 + 9.14587i −0.311964 + 0.459597i
\(397\) −4.43134 + 5.28107i −0.222403 + 0.265049i −0.865695 0.500571i \(-0.833123\pi\)
0.643293 + 0.765620i \(0.277568\pi\)
\(398\) 18.8566i 0.945195i
\(399\) −25.9093 + 15.1196i −1.29709 + 0.756926i
\(400\) −1.54024 + 4.75685i −0.0770121 + 0.237843i
\(401\) −7.74218 6.49646i −0.386626 0.324418i 0.428671 0.903461i \(-0.358982\pi\)
−0.815297 + 0.579043i \(0.803426\pi\)
\(402\) −9.06139 1.12607i −0.451941 0.0561631i
\(403\) 16.6208 2.93069i 0.827941 0.145988i
\(404\) 6.62614 + 1.16837i 0.329663 + 0.0581284i
\(405\) −20.1083 0.809857i −0.999190 0.0402421i
\(406\) 6.47636 + 11.2174i 0.321416 + 0.556709i
\(407\) 17.5057 + 10.1069i 0.867727 + 0.500983i
\(408\) −10.3593 + 2.37566i −0.512861 + 0.117613i
\(409\) 1.87803 + 2.23815i 0.0928625 + 0.110669i 0.810475 0.585774i \(-0.199209\pi\)
−0.717612 + 0.696443i \(0.754765\pi\)
\(410\) −1.38712 13.1332i −0.0685047 0.648602i
\(411\) 10.2701 0.523161i 0.506589 0.0258056i
\(412\) 14.9478 + 5.44054i 0.736424 + 0.268036i
\(413\) −16.0535 2.83067i −0.789943 0.139288i
\(414\) −17.7251 17.2175i −0.871140 0.846193i
\(415\) −8.51541 5.73741i −0.418005 0.281638i
\(416\) −1.73716 + 2.07026i −0.0851712 + 0.101503i
\(417\) 12.0202 23.5059i 0.588632 1.15109i
\(418\) 7.37871 + 14.2655i 0.360904 + 0.697747i
\(419\) 36.0163i 1.75951i 0.475426 + 0.879755i \(0.342294\pi\)
−0.475426 + 0.879755i \(0.657706\pi\)
\(420\) 7.93839 13.1832i 0.387354 0.643273i
\(421\) 7.36495 + 20.2350i 0.358946 + 0.986195i 0.979396 + 0.201949i \(0.0647276\pi\)
−0.620450 + 0.784246i \(0.713050\pi\)
\(422\) −3.20514 18.1773i −0.156024 0.884855i
\(423\) 29.1984 14.1353i 1.41968 0.687284i
\(424\) −7.45524 2.71349i −0.362059 0.131779i
\(425\) 30.0040 6.40949i 1.45541 0.310906i
\(426\) −1.30709 + 0.846115i −0.0633286 + 0.0409944i
\(427\) 9.19583 + 10.9592i 0.445017 + 0.530351i
\(428\) 8.44569 + 10.0652i 0.408238 + 0.486519i
\(429\) 14.4786 9.37240i 0.699033 0.452504i
\(430\) −8.83538 + 19.8718i −0.426080 + 0.958304i
\(431\) −1.58649 0.577434i −0.0764184 0.0278140i 0.303528 0.952822i \(-0.401835\pi\)
−0.379946 + 0.925008i \(0.624058\pi\)
\(432\) −0.113501 + 5.19491i −0.00546081 + 0.249940i
\(433\) −0.787161 4.46421i −0.0378285 0.214536i 0.960034 0.279883i \(-0.0902957\pi\)
−0.997863 + 0.0653468i \(0.979185\pi\)
\(434\) 8.48668 + 23.3170i 0.407374 + 1.11925i
\(435\) 10.8159 + 6.51294i 0.518585 + 0.312271i
\(436\) 2.06310i 0.0988045i
\(437\) −34.2703 + 10.7068i −1.63937 + 0.512175i
\(438\) 0.146433 0.286355i 0.00699686 0.0136826i
\(439\) 1.65001 1.96640i 0.0787507 0.0938514i −0.725230 0.688506i \(-0.758267\pi\)
0.803981 + 0.594655i \(0.202711\pi\)
\(440\) −6.83279 4.60372i −0.325741 0.219474i
\(441\) −18.3686 + 18.9101i −0.874694 + 0.900482i
\(442\) 16.3314 + 2.87966i 0.776804 + 0.136971i
\(443\) −1.87712 0.683216i −0.0891846 0.0324606i 0.297043 0.954864i \(-0.404000\pi\)
−0.386227 + 0.922404i \(0.626222\pi\)
\(444\) 9.48981 0.483411i 0.450367 0.0229417i
\(445\) 16.3807 1.73011i 0.776519 0.0820152i
\(446\) 15.1485 + 18.0533i 0.717301 + 0.854847i
\(447\) −27.3261 + 6.26660i −1.29248 + 0.296400i
\(448\) −3.44103 1.98668i −0.162573 0.0938618i
\(449\) −1.10040 1.90595i −0.0519313 0.0899476i 0.838891 0.544299i \(-0.183204\pi\)
−0.890822 + 0.454352i \(0.849871\pi\)
\(450\) 0.552115 14.9898i 0.0260270 0.706628i
\(451\) 21.4307 + 3.77880i 1.00913 + 0.177937i
\(452\) −4.67183 + 0.823770i −0.219745 + 0.0387469i
\(453\) −5.02915 0.624977i −0.236290 0.0293640i
\(454\) 10.0914 + 8.46767i 0.473612 + 0.397407i
\(455\) −19.4183 + 14.1234i −0.910345 + 0.662113i
\(456\) 6.55581 + 3.74451i 0.307004 + 0.175353i
\(457\) 8.79212i 0.411278i −0.978628 0.205639i \(-0.934073\pi\)
0.978628 0.205639i \(-0.0659273\pi\)
\(458\) −3.85563 + 4.59496i −0.180162 + 0.214709i
\(459\) 27.9545 15.3353i 1.30480 0.715792i
\(460\) 12.7877 13.2555i 0.596228 0.618042i
\(461\) 24.2749 + 4.28032i 1.13060 + 0.199355i 0.707488 0.706725i \(-0.249828\pi\)
0.423108 + 0.906079i \(0.360939\pi\)
\(462\) 17.2667 + 18.5707i 0.803319 + 0.863987i
\(463\) −32.2406 + 18.6141i −1.49835 + 0.865072i −0.999998 0.00190400i \(-0.999394\pi\)
−0.498350 + 0.866976i \(0.666061\pi\)
\(464\) 1.62994 2.82315i 0.0756683 0.131061i
\(465\) 18.2387 + 15.8852i 0.845798 + 0.736660i
\(466\) −8.10609 9.66046i −0.375507 0.447512i
\(467\) −13.7662 + 23.8438i −0.637024 + 1.10336i 0.349058 + 0.937101i \(0.386502\pi\)
−0.986082 + 0.166257i \(0.946832\pi\)
\(468\) 3.31934 7.39699i 0.153436 0.341926i
\(469\) −7.16427 + 19.6837i −0.330815 + 0.908907i
\(470\) 10.6106 + 21.7269i 0.489430 + 1.00219i
\(471\) 8.55707 27.8431i 0.394289 1.28294i
\(472\) 1.40318 + 3.85520i 0.0645866 + 0.177450i
\(473\) −27.4516 23.0346i −1.26223 1.05913i
\(474\) −6.29381 + 12.3077i −0.289084 + 0.565313i
\(475\) −18.7610 11.0916i −0.860816 0.508917i
\(476\) 24.3813i 1.11752i
\(477\) 23.7382 + 1.72979i 1.08690 + 0.0792016i
\(478\) 9.50085 3.45803i 0.434559 0.158167i
\(479\) −31.5808 + 5.56855i −1.44296 + 0.254434i −0.839675 0.543089i \(-0.817255\pi\)
−0.603289 + 0.797522i \(0.706144\pi\)
\(480\) −3.87233 0.0712898i −0.176747 0.00325392i
\(481\) −13.9321 5.07088i −0.635251 0.231212i
\(482\) −6.46154 11.1917i −0.294315 0.509769i
\(483\) −47.5868 + 30.8043i −2.16527 + 1.40164i
\(484\) 1.97352 1.65598i 0.0897056 0.0752719i
\(485\) 17.2141 + 4.28266i 0.781654 + 0.194465i
\(486\) −3.92427 15.0864i −0.178009 0.684334i
\(487\) −13.4375 23.2745i −0.608913 1.05467i −0.991420 0.130716i \(-0.958272\pi\)
0.382507 0.923953i \(-0.375061\pi\)
\(488\) 1.23145 3.38338i 0.0557451 0.153158i
\(489\) 5.76607 7.62858i 0.260751 0.344976i
\(490\) −14.1417 13.6426i −0.638859 0.616310i
\(491\) 5.69402 + 15.6442i 0.256968 + 0.706013i 0.999350 + 0.0360368i \(0.0114734\pi\)
−0.742383 + 0.669976i \(0.766304\pi\)
\(492\) 9.42215 3.98320i 0.424783 0.179576i
\(493\) −20.0033 −0.900903
\(494\) −7.14677 9.36453i −0.321548 0.421330i
\(495\) 23.4887 + 7.69481i 1.05574 + 0.345856i
\(496\) 4.01417 4.78390i 0.180242 0.214804i
\(497\) 1.22166 + 3.35648i 0.0547989 + 0.150559i
\(498\) 2.33651 7.60255i 0.104701 0.340679i
\(499\) 0.205740 1.16681i 0.00921017 0.0522335i −0.979856 0.199704i \(-0.936002\pi\)
0.989066 + 0.147470i \(0.0471131\pi\)
\(500\) 11.1741 + 0.373120i 0.499721 + 0.0166864i
\(501\) 0.805386 + 15.8105i 0.0359820 + 0.706361i
\(502\) 5.56756 9.64330i 0.248492 0.430402i
\(503\) −20.2377 + 16.9814i −0.902352 + 0.757163i −0.970649 0.240502i \(-0.922688\pi\)
0.0682965 + 0.997665i \(0.478244\pi\)
\(504\) 11.5575 + 2.91758i 0.514813 + 0.129959i
\(505\) −1.58026 14.9618i −0.0703205 0.665793i
\(506\) 15.1748 + 26.2836i 0.674604 + 1.16845i
\(507\) 7.22556 6.71820i 0.320899 0.298366i
\(508\) 0.540061 3.06284i 0.0239613 0.135892i
\(509\) 4.16341 + 23.6119i 0.184540 + 1.04658i 0.926545 + 0.376183i \(0.122764\pi\)
−0.742005 + 0.670394i \(0.766125\pi\)
\(510\) 11.5018 + 20.7967i 0.509310 + 0.920891i
\(511\) −0.565196 0.474256i −0.0250028 0.0209798i
\(512\) 1.00000i 0.0441942i
\(513\) −21.9861 5.44169i −0.970709 0.240257i
\(514\) −0.712104 −0.0314096
\(515\) 2.46312 35.4839i 0.108538 1.56361i
\(516\) −16.7169 2.07743i −0.735922 0.0914536i
\(517\) −39.2375 + 6.91863i −1.72566 + 0.304281i
\(518\) 3.78519 21.4669i 0.166312 0.943201i
\(519\) 20.4658 + 22.0114i 0.898349 + 0.966194i
\(520\) 5.52186 + 2.45512i 0.242150 + 0.107664i
\(521\) −2.79411 + 4.83955i −0.122412 + 0.212024i −0.920718 0.390227i \(-0.872396\pi\)
0.798306 + 0.602252i \(0.205730\pi\)
\(522\) −2.39369 + 9.48220i −0.104769 + 0.415025i
\(523\) 34.6659 29.0881i 1.51583 1.27193i 0.664526 0.747265i \(-0.268634\pi\)
0.851306 0.524669i \(-0.175811\pi\)
\(524\) 14.4679 + 8.35304i 0.632032 + 0.364904i
\(525\) −33.2338 8.92085i −1.45044 0.389338i
\(526\) 5.44456 14.9588i 0.237394 0.652235i
\(527\) −37.7380 6.65423i −1.64389 0.289863i
\(528\) 1.87482 6.10031i 0.0815911 0.265482i
\(529\) −42.1421 + 15.3385i −1.83226 + 0.666889i
\(530\) −1.22849 + 17.6977i −0.0533622 + 0.768740i
\(531\) −7.20520 9.97841i −0.312679 0.433026i
\(532\) 11.7343 12.7386i 0.508745 0.552287i
\(533\) −15.9612 −0.691357
\(534\) 4.96814 + 11.7520i 0.214992 + 0.508559i
\(535\) 16.4167 24.3655i 0.709756 1.05341i
\(536\) 5.19175 0.915445i 0.224249 0.0395412i
\(537\) −11.7424 8.87554i −0.506724 0.383008i
\(538\) −6.88381 + 18.9131i −0.296782 + 0.815402i
\(539\) 28.0408 16.1894i 1.20780 0.697326i
\(540\) 11.2346 2.96361i 0.483462 0.127533i
\(541\) 15.9737 13.4035i 0.686764 0.576263i −0.231210 0.972904i \(-0.574269\pi\)
0.917974 + 0.396641i \(0.129824\pi\)
\(542\) −6.67215 7.95156i −0.286594 0.341549i
\(543\) −16.1882 + 10.4791i −0.694702 + 0.449701i
\(544\) 5.31410 3.06810i 0.227840 0.131544i
\(545\) −4.43387 + 1.27384i −0.189926 + 0.0545651i
\(546\) −14.8375 11.2149i −0.634984 0.479954i
\(547\) 2.31953 + 13.1547i 0.0991757 + 0.562454i 0.993388 + 0.114809i \(0.0366257\pi\)
−0.894212 + 0.447644i \(0.852263\pi\)
\(548\) −5.57910 + 2.03063i −0.238327 + 0.0867441i
\(549\) −0.785023 + 10.7730i −0.0335040 + 0.459780i
\(550\) −5.67517 + 17.5271i −0.241990 + 0.747357i
\(551\) 10.4512 + 9.62722i 0.445235 + 0.410133i
\(552\) 12.7023 + 6.49557i 0.540644 + 0.276470i
\(553\) 24.2925 + 20.3839i 1.03302 + 0.866810i
\(554\) −5.20166 + 1.89325i −0.220997 + 0.0804365i
\(555\) −6.89829 20.0964i −0.292816 0.853044i
\(556\) −2.64685 + 15.0110i −0.112251 + 0.636609i
\(557\) 22.1081 + 8.04668i 0.936749 + 0.340949i 0.764881 0.644171i \(-0.222798\pi\)
0.171868 + 0.985120i \(0.445020\pi\)
\(558\) −7.67021 + 17.0927i −0.324706 + 0.723593i
\(559\) 22.7628 + 13.1421i 0.962766 + 0.555853i
\(560\) −2.14502 + 8.62189i −0.0906434 + 0.364341i
\(561\) −38.1698 + 8.75336i −1.61153 + 0.369567i
\(562\) 23.2594 + 13.4288i 0.981137 + 0.566460i
\(563\) 23.3674 13.4912i 0.984819 0.568585i 0.0810972 0.996706i \(-0.474158\pi\)
0.903721 + 0.428121i \(0.140824\pi\)
\(564\) −13.7164 + 12.7533i −0.577564 + 0.537009i
\(565\) 4.65496 + 9.53176i 0.195836 + 0.401004i
\(566\) −3.13342 17.7705i −0.131708 0.746951i
\(567\) −35.7452 + 1.03873i −1.50116 + 0.0436224i
\(568\) 0.577840 0.688643i 0.0242456 0.0288948i
\(569\) −7.48774 −0.313902 −0.156951 0.987606i \(-0.550167\pi\)
−0.156951 + 0.987606i \(0.550167\pi\)
\(570\) 3.99965 16.4013i 0.167527 0.686975i
\(571\) −28.5942 −1.19663 −0.598314 0.801262i \(-0.704162\pi\)
−0.598314 + 0.801262i \(0.704162\pi\)
\(572\) −6.40073 + 7.62809i −0.267628 + 0.318946i
\(573\) 18.4612 + 2.29418i 0.771226 + 0.0958408i
\(574\) −4.07495 23.1102i −0.170085 0.964601i
\(575\) −36.3835 19.2979i −1.51730 0.804779i
\(576\) −0.818465 2.88619i −0.0341027 0.120258i
\(577\) −13.9903 + 8.07731i −0.582424 + 0.336263i −0.762096 0.647464i \(-0.775830\pi\)
0.179672 + 0.983727i \(0.442496\pi\)
\(578\) −17.8859 10.3264i −0.743955 0.429523i
\(579\) −0.973823 4.24644i −0.0404707 0.176476i
\(580\) −7.07370 1.75985i −0.293720 0.0730737i
\(581\) −15.8011 9.12274i −0.655538 0.378475i
\(582\) 0.699033 + 13.7227i 0.0289758 + 0.568823i
\(583\) −27.4696 9.99810i −1.13767 0.414079i
\(584\) −0.0322446 + 0.182868i −0.00133429 + 0.00756715i
\(585\) −17.9466 2.56651i −0.742000 0.106112i
\(586\) −7.09258 + 2.58149i −0.292992 + 0.106640i
\(587\) 9.43356 + 7.91569i 0.389365 + 0.326716i 0.816366 0.577536i \(-0.195985\pi\)
−0.427001 + 0.904251i \(0.640430\pi\)
\(588\) 6.92984 13.5515i 0.285782 0.558854i
\(589\) 16.5145 + 21.6392i 0.680469 + 0.891630i
\(590\) 7.41897 5.39597i 0.305434 0.222149i
\(591\) 6.50117 2.74836i 0.267422 0.113052i
\(592\) −5.15520 + 1.87634i −0.211877 + 0.0771171i
\(593\) 5.38493 + 30.5395i 0.221133 + 1.25411i 0.869942 + 0.493155i \(0.164156\pi\)
−0.648809 + 0.760951i \(0.724733\pi\)
\(594\) −0.418205 + 19.1412i −0.0171591 + 0.785371i
\(595\) 52.3987 15.0540i 2.14814 0.617152i
\(596\) 14.0177 8.09312i 0.574187 0.331507i
\(597\) 17.7481 + 27.4175i 0.726382 + 1.12212i
\(598\) −14.3088 17.0526i −0.585131 0.697332i
\(599\) 1.36518 1.14552i 0.0557797 0.0468047i −0.614472 0.788939i \(-0.710631\pi\)
0.670251 + 0.742134i \(0.266186\pi\)
\(600\) 2.23771 + 8.36616i 0.0913542 + 0.341547i
\(601\) 32.7412 18.9032i 1.33554 0.771076i 0.349400 0.936974i \(-0.386385\pi\)
0.986143 + 0.165897i \(0.0530520\pi\)
\(602\) −13.2170 + 36.3135i −0.538686 + 1.48003i
\(603\) −14.2351 + 6.89142i −0.579699 + 0.280640i
\(604\) 2.88147 0.508080i 0.117245 0.0206735i
\(605\) −4.77745 3.21890i −0.194231 0.130867i
\(606\) 10.7341 4.53782i 0.436043 0.184336i
\(607\) −19.9070 −0.807999 −0.404000 0.914759i \(-0.632380\pi\)
−0.404000 + 0.914759i \(0.632380\pi\)
\(608\) −4.25309 0.954580i −0.172486 0.0387134i
\(609\) 19.9746 + 10.2144i 0.809411 + 0.413909i
\(610\) −8.03168 0.557520i −0.325193 0.0225733i
\(611\) 27.4611 9.99502i 1.11096 0.404355i
\(612\) −12.8264 + 13.2045i −0.518476 + 0.533761i
\(613\) −20.7106 3.65183i −0.836492 0.147496i −0.261036 0.965329i \(-0.584064\pi\)
−0.575456 + 0.817833i \(0.695175\pi\)
\(614\) −9.41014 + 25.8542i −0.379762 + 1.04339i
\(615\) −14.3780 17.7901i −0.579778 0.717365i
\(616\) −12.6788 7.32012i −0.510844 0.294936i
\(617\) −22.1287 + 18.5681i −0.890866 + 0.747525i −0.968384 0.249466i \(-0.919745\pi\)
0.0775176 + 0.996991i \(0.475301\pi\)
\(618\) 26.8548 6.15852i 1.08026 0.247732i
\(619\) −8.36494 + 14.4885i −0.336215 + 0.582342i −0.983717 0.179722i \(-0.942480\pi\)
0.647502 + 0.762064i \(0.275814\pi\)
\(620\) −12.7597 5.67322i −0.512444 0.227842i
\(621\) −41.9776 8.35110i −1.68450 0.335118i
\(622\) 2.74152 15.5479i 0.109925 0.623416i
\(623\) 28.8248 5.08258i 1.15484 0.203629i
\(624\) −0.577263 + 4.64520i −0.0231090 + 0.185957i
\(625\) −6.09744 24.2450i −0.243898 0.969801i
\(626\) −13.4832 −0.538896
\(627\) 24.1555 + 13.7970i 0.964678 + 0.551000i
\(628\) 16.8172i 0.671081i
\(629\) 25.7877 + 21.6385i 1.02822 + 0.862782i
\(630\) −0.865786 26.6401i −0.0344938 1.06137i
\(631\) −2.07442 11.7646i −0.0825814 0.468343i −0.997852 0.0655037i \(-0.979135\pi\)
0.915271 0.402839i \(-0.131977\pi\)
\(632\) 1.38590 7.85981i 0.0551280 0.312647i
\(633\) −21.7690 23.4130i −0.865239 0.930583i
\(634\) 8.71922 + 15.1021i 0.346284 + 0.599782i
\(635\) −6.91590 + 0.730451i −0.274449 + 0.0289871i
\(636\) −13.3939 + 3.07158i −0.531102 + 0.121796i
\(637\) −18.1927 + 15.2655i −0.720819 + 0.604839i
\(638\) 6.00569 10.4022i 0.237767 0.411825i
\(639\) −1.10413 + 2.46050i −0.0436786 + 0.0973359i
\(640\) 2.14913 0.617438i 0.0849519 0.0244064i
\(641\) −6.13216 + 34.7772i −0.242206 + 1.37362i 0.584688 + 0.811258i \(0.301217\pi\)
−0.826894 + 0.562358i \(0.809894\pi\)
\(642\) 21.7535 + 6.68555i 0.858543 + 0.263858i
\(643\) 4.40966 + 12.1154i 0.173900 + 0.477786i 0.995769 0.0918902i \(-0.0292909\pi\)
−0.821869 + 0.569676i \(0.807069\pi\)
\(644\) 21.0373 25.0713i 0.828985 0.987946i
\(645\) 5.85701 + 37.2096i 0.230620 + 1.46513i
\(646\) 7.97616 + 25.5301i 0.313818 + 1.00447i
\(647\) −11.5209 −0.452933 −0.226467 0.974019i \(-0.572717\pi\)
−0.226467 + 0.974019i \(0.572717\pi\)
\(648\) 4.72450 + 7.66023i 0.185596 + 0.300922i
\(649\) 5.17015 + 14.2049i 0.202946 + 0.557590i
\(650\) 1.86698 13.3831i 0.0732288 0.524928i
\(651\) 34.2859 + 25.9151i 1.34377 + 1.01569i
\(652\) −1.88828 + 5.18800i −0.0739507 + 0.203178i
\(653\) −3.89684 6.74953i −0.152495 0.264129i 0.779649 0.626217i \(-0.215398\pi\)
−0.932144 + 0.362087i \(0.882064\pi\)
\(654\) −1.94182 2.99974i −0.0759311 0.117299i
\(655\) 9.01876 36.2509i 0.352392 1.41644i
\(656\) −4.52427 + 3.79631i −0.176643 + 0.148221i
\(657\) −0.0566072 0.554185i −0.00220846 0.0216208i
\(658\) 21.4827 + 37.2090i 0.837481 + 1.45056i
\(659\) −34.9568 12.7233i −1.36173 0.495627i −0.445138 0.895462i \(-0.646845\pi\)
−0.916587 + 0.399834i \(0.869068\pi\)
\(660\) −14.2680 0.262674i −0.555380 0.0102246i
\(661\) −23.7504 + 4.18784i −0.923784 + 0.162888i −0.615256 0.788327i \(-0.710947\pi\)
−0.308528 + 0.951215i \(0.599836\pi\)
\(662\) 11.2597 4.09819i 0.437620 0.159281i
\(663\) 26.4562 11.1843i 1.02747 0.434362i
\(664\) 4.59195i 0.178202i
\(665\) −34.6221 17.3532i −1.34259 0.672929i
\(666\) 13.3432 9.63483i 0.517038 0.373342i
\(667\) 20.5694 + 17.2597i 0.796449 + 0.668300i
\(668\) −3.12607 8.58881i −0.120951 0.332311i
\(669\) 39.0179 + 11.9914i 1.50852 + 0.463616i
\(670\) −5.17300 10.5925i −0.199850 0.409225i
\(671\) 4.53740 12.4664i 0.175164 0.481260i
\(672\) −6.87315 + 0.350118i −0.265138 + 0.0135061i
\(673\) 6.32197 10.9500i 0.243694 0.422090i −0.718070 0.695971i \(-0.754974\pi\)
0.961764 + 0.273881i \(0.0883074\pi\)
\(674\) 14.3156 + 17.0606i 0.551415 + 0.657150i
\(675\) −13.3059 22.3149i −0.512144 0.858900i
\(676\) −2.84814 + 4.93313i −0.109544 + 0.189736i
\(677\) −13.5989 + 7.85134i −0.522649 + 0.301751i −0.738018 0.674781i \(-0.764238\pi\)
0.215369 + 0.976533i \(0.430905\pi\)
\(678\) −6.01750 + 5.59496i −0.231101 + 0.214873i
\(679\) 31.0421 + 5.47355i 1.19128 + 0.210056i
\(680\) −9.87487 9.52634i −0.378684 0.365319i
\(681\) 22.6428 + 2.81383i 0.867672 + 0.107826i
\(682\) 14.7906 17.6267i 0.566361 0.674963i
\(683\) 33.8066i 1.29357i −0.762671 0.646787i \(-0.776112\pi\)
0.762671 0.646787i \(-0.223888\pi\)
\(684\) 13.0565 0.725903i 0.499229 0.0277556i
\(685\) 7.80884 + 10.7364i 0.298360 + 0.410218i
\(686\) −5.44105 4.56558i −0.207740 0.174315i
\(687\) −1.28124 + 10.3101i −0.0488823 + 0.393353i
\(688\) 9.57801 1.68886i 0.365158 0.0643873i
\(689\) 21.1154 + 3.72322i 0.804433 + 0.141843i
\(690\) 6.11697 31.3095i 0.232869 1.19193i
\(691\) −17.2678 29.9088i −0.656899 1.13778i −0.981414 0.191902i \(-0.938534\pi\)
0.324515 0.945881i \(-0.394799\pi\)
\(692\) −15.0279 8.67636i −0.571275 0.329826i
\(693\) 42.5848 + 10.7501i 1.61766 + 0.408363i
\(694\) 1.48875 + 1.77423i 0.0565123 + 0.0673487i
\(695\) 33.8950 3.57995i 1.28571 0.135795i
\(696\) −0.287250 5.63898i −0.0108882 0.213745i
\(697\) 34.0548 + 12.3949i 1.28992 + 0.469492i
\(698\) −8.03431 1.41666i −0.304103 0.0536216i
\(699\) −20.8788 6.41673i −0.789709 0.242703i
\(700\) 19.8540 0.713561i 0.750410 0.0269701i
\(701\) 5.25804 6.26629i 0.198593 0.236674i −0.657552 0.753409i \(-0.728408\pi\)
0.856146 + 0.516735i \(0.172853\pi\)
\(702\) −2.13585 13.8794i −0.0806123 0.523845i
\(703\) −3.05919 23.7167i −0.115379 0.894491i
\(704\) 3.68460i 0.138868i
\(705\) 35.8775 + 21.6040i 1.35122 + 0.813654i
\(706\) −0.788302 2.16584i −0.0296682 0.0815126i
\(707\) −4.64235 26.3281i −0.174593 0.990168i
\(708\) 5.66880 + 4.28477i 0.213046 + 0.161032i
\(709\) −12.8266 4.66852i −0.481715 0.175330i 0.0897371 0.995965i \(-0.471397\pi\)
−0.571452 + 0.820636i \(0.693620\pi\)
\(710\) −1.83677 0.816661i −0.0689326 0.0306487i
\(711\) 2.43302 + 23.8193i 0.0912453 + 0.893292i
\(712\) −4.73504 5.64300i −0.177453 0.211480i
\(713\) 33.0644 + 39.4046i 1.23827 + 1.47571i
\(714\) 22.9481 + 35.4504i 0.858809 + 1.32670i
\(715\) 20.3458 + 9.04614i 0.760891 + 0.338306i
\(716\) 7.98573 + 2.90657i 0.298441 + 0.108624i
\(717\) 10.5595 13.9703i 0.394351 0.521731i
\(718\) 2.37853 + 13.4893i 0.0887659 + 0.503417i
\(719\) −8.44358 23.1985i −0.314892 0.865159i −0.991651 0.128954i \(-0.958838\pi\)
0.676758 0.736205i \(-0.263384\pi\)
\(720\) −5.69746 + 3.54104i −0.212332 + 0.131967i
\(721\) 63.2046i 2.35386i
\(722\) 8.11983 17.1776i 0.302189 0.639282i
\(723\) −19.9289 10.1910i −0.741163 0.379009i
\(724\) 7.15652 8.52881i 0.265970 0.316971i
\(725\) 0.585431 + 16.2889i 0.0217424 + 0.604955i
\(726\) 1.31087 4.26531i 0.0486508 0.158300i
\(727\) −19.0343 3.35626i −0.705942 0.124477i −0.190860 0.981617i \(-0.561128\pi\)
−0.515082 + 0.857141i \(0.672239\pi\)
\(728\) 10.0906 + 3.67267i 0.373982 + 0.136118i
\(729\) −19.9055 18.2421i −0.737239 0.675632i
\(730\) 0.412917 0.0436120i 0.0152828 0.00161415i
\(731\) −38.3611 45.7169i −1.41883 1.69090i
\(732\) −1.39396 6.07849i −0.0515223 0.224668i
\(733\) −17.7218 10.2317i −0.654571 0.377917i 0.135634 0.990759i \(-0.456693\pi\)
−0.790205 + 0.612842i \(0.790026\pi\)
\(734\) −1.79294 3.10546i −0.0661785 0.114625i
\(735\) −33.4027 6.52593i −1.23208 0.240713i
\(736\) −8.11177 1.43032i −0.299004 0.0527224i
\(737\) 19.1295 3.37305i 0.704644 0.124248i
\(738\) 9.95076 14.6598i 0.366292 0.539636i
\(739\) 26.6430 + 22.3561i 0.980077 + 0.822382i 0.984101 0.177610i \(-0.0568365\pi\)
−0.00402407 + 0.999992i \(0.501281\pi\)
\(740\) 7.21552 + 9.92069i 0.265248 + 0.364692i
\(741\) −19.2054 6.88937i −0.705529 0.253087i
\(742\) 31.5235i 1.15726i
\(743\) 18.2065 21.6977i 0.667933 0.796011i −0.320568 0.947225i \(-0.603874\pi\)
0.988501 + 0.151214i \(0.0483184\pi\)
\(744\) 1.33392 10.7340i 0.0489039 0.393527i
\(745\) −26.0483 25.1289i −0.954334 0.920651i
\(746\) −30.8020 5.43122i −1.12774 0.198851i
\(747\) −3.75835 13.2533i −0.137511 0.484912i
\(748\) 19.5803 11.3047i 0.715927 0.413341i
\(749\) 26.1033 45.2123i 0.953794 1.65202i
\(750\) 16.5983 9.97473i 0.606086 0.364226i
\(751\) 13.6425 + 16.2585i 0.497822 + 0.593281i 0.955189 0.295997i \(-0.0956519\pi\)
−0.457367 + 0.889278i \(0.651207\pi\)
\(752\) 5.40667 9.36463i 0.197161 0.341493i
\(753\) −0.981187 19.2616i −0.0357564 0.701933i
\(754\) −3.01319 + 8.27867i −0.109734 + 0.301491i
\(755\) −2.87106 5.87894i −0.104489 0.213957i
\(756\) 19.5507 6.63595i 0.711052 0.241347i
\(757\) −12.0089 32.9943i −0.436472 1.19920i −0.941771 0.336254i \(-0.890840\pi\)
0.505299 0.862944i \(-0.331382\pi\)
\(758\) −19.2241 16.1309i −0.698250 0.585901i
\(759\) 46.8027 + 23.9335i 1.69883 + 0.868733i
\(760\) 0.574501 + 9.72985i 0.0208393 + 0.352939i
\(761\) 18.1845i 0.659188i 0.944123 + 0.329594i \(0.106912\pi\)
−0.944123 + 0.329594i \(0.893088\pi\)
\(762\) −2.09754 4.96168i −0.0759859 0.179743i
\(763\) −7.70307 + 2.80369i −0.278870 + 0.101500i
\(764\) −10.5774 + 1.86507i −0.382676 + 0.0674760i
\(765\) 36.2978 + 19.4126i 1.31235 + 0.701865i
\(766\) −21.0793 7.67222i −0.761624 0.277209i
\(767\) −5.54375 9.60205i −0.200173 0.346710i
\(768\) 0.941215 + 1.45400i 0.0339632 + 0.0524667i
\(769\) −20.2543 + 16.9953i −0.730387 + 0.612868i −0.930237 0.366959i \(-0.880399\pi\)
0.199850 + 0.979827i \(0.435955\pi\)
\(770\) −7.90352 + 31.7682i −0.284823 + 1.14485i
\(771\) −1.03540 + 0.670243i −0.0372890 + 0.0241382i
\(772\) 1.25766 + 2.17834i 0.0452643 + 0.0784001i
\(773\) −9.81302 + 26.9611i −0.352950 + 0.969722i 0.628467 + 0.777836i \(0.283683\pi\)
−0.981417 + 0.191886i \(0.938540\pi\)
\(774\)