Properties

Label 546.2.bg.a.311.8
Level $546$
Weight $2$
Character 546.311
Analytic conductor $4.360$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bg (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.8
Character \(\chi\) \(=\) 546.311
Dual form 546.2.bg.a.467.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.418670 + 1.68069i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.0916492 - 0.0529137i) q^{5} +(1.66485 - 0.477766i) q^{6} +(2.29863 + 1.31008i) q^{7} +1.00000 q^{8} +(-2.64943 - 1.40731i) q^{9} +O(q^{10})\) \(q+(-0.500000 - 0.866025i) q^{2} +(-0.418670 + 1.68069i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.0916492 - 0.0529137i) q^{5} +(1.66485 - 0.477766i) q^{6} +(2.29863 + 1.31008i) q^{7} +1.00000 q^{8} +(-2.64943 - 1.40731i) q^{9} +(-0.0916492 - 0.0529137i) q^{10} +(0.603696 - 1.04563i) q^{11} +(-1.24618 - 1.20292i) q^{12} +(3.60130 - 0.175001i) q^{13} +(-0.0147545 - 2.64571i) q^{14} +(0.0505607 + 0.176187i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-1.14124 + 1.97669i) q^{17} +(0.105953 + 2.99813i) q^{18} +(1.82371 + 3.15875i) q^{19} +0.105827i q^{20} +(-3.16420 + 3.31479i) q^{21} -1.20739 q^{22} +(-0.845930 + 0.488398i) q^{23} +(-0.418670 + 1.68069i) q^{24} +(-2.49440 + 4.32043i) q^{25} +(-1.95221 - 3.03132i) q^{26} +(3.47448 - 3.86367i) q^{27} +(-2.28387 + 1.33563i) q^{28} +7.03811i q^{29} +(0.127302 - 0.131880i) q^{30} +(-0.610707 + 1.05778i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(1.50463 + 1.45240i) q^{33} +2.28248 q^{34} +(0.279988 - 0.00156143i) q^{35} +(2.54348 - 1.59082i) q^{36} +(-2.01173 + 1.16147i) q^{37} +(1.82371 - 3.15875i) q^{38} +(-1.21363 + 6.12594i) q^{39} +(0.0916492 - 0.0529137i) q^{40} +0.417669i q^{41} +(4.45279 + 1.08288i) q^{42} +4.90433 q^{43} +(0.603696 + 1.04563i) q^{44} +(-0.317284 + 0.0112127i) q^{45} +(0.845930 + 0.488398i) q^{46} +(1.47958 - 0.854236i) q^{47} +(1.66485 - 0.477766i) q^{48} +(3.56739 + 6.02276i) q^{49} +4.98880 q^{50} +(-2.84439 - 2.74565i) q^{51} +(-1.64910 + 3.20632i) q^{52} +(1.77421 + 1.02434i) q^{53} +(-5.08328 - 1.07715i) q^{54} -0.127775i q^{55} +(2.29863 + 1.31008i) q^{56} +(-6.07241 + 1.74261i) q^{57} +(6.09518 - 3.51906i) q^{58} +(9.04020 + 5.21936i) q^{59} +(-0.177863 - 0.0443067i) q^{60} +(-8.67338 + 5.00758i) q^{61} +1.22141 q^{62} +(-4.24638 - 6.70584i) q^{63} +1.00000 q^{64} +(0.320796 - 0.206597i) q^{65} +(0.505498 - 2.02925i) q^{66} +(-5.65318 - 3.26387i) q^{67} +(-1.14124 - 1.97669i) q^{68} +(-0.466680 - 1.62622i) q^{69} +(-0.141346 - 0.241696i) q^{70} +2.72046 q^{71} +(-2.64943 - 1.40731i) q^{72} +(3.72258 - 6.44769i) q^{73} +(2.01173 + 1.16147i) q^{74} +(-6.21697 - 6.00114i) q^{75} -3.64741 q^{76} +(2.75753 - 1.61263i) q^{77} +(5.91203 - 2.01193i) q^{78} +(-5.04911 - 8.74532i) q^{79} +(-0.0916492 - 0.0529137i) q^{80} +(5.03898 + 7.45713i) q^{81} +(0.361712 - 0.208835i) q^{82} -11.6784i q^{83} +(-1.28859 - 4.39767i) q^{84} +0.241549i q^{85} +(-2.45216 - 4.24727i) q^{86} +(-11.8289 - 2.94664i) q^{87} +(0.603696 - 1.04563i) q^{88} +(14.7044 - 8.48960i) q^{89} +(0.168352 + 0.269170i) q^{90} +(8.50732 + 4.31572i) q^{91} -0.976796i q^{92} +(-1.52211 - 1.46927i) q^{93} +(-1.47958 - 0.854236i) q^{94} +(0.334282 + 0.192998i) q^{95} +(-1.24618 - 1.20292i) q^{96} -8.85297 q^{97} +(3.43217 - 6.10084i) q^{98} +(-3.07098 + 1.92075i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} + O(q^{10}) \) \( 36q - 18q^{2} - 18q^{4} + 36q^{8} + 4q^{9} - 14q^{15} - 18q^{16} + 4q^{18} + 23q^{21} + 14q^{25} - 6q^{26} + 7q^{30} - 18q^{32} + 24q^{33} - 8q^{36} - 10q^{39} - 16q^{42} - 16q^{43} - 9q^{45} + 72q^{47} + 12q^{49} - 28q^{50} - 3q^{51} + 6q^{52} + 9q^{54} - 8q^{57} + 24q^{59} + 7q^{60} - 36q^{61} - 39q^{63} + 36q^{64} + 18q^{65} - 24q^{66} - 72q^{71} + 4q^{72} + 54q^{75} + 20q^{78} + 20q^{79} - 20q^{81} - 24q^{82} - 7q^{84} + 8q^{86} - 24q^{87} - 72q^{89} - 2q^{91} - 14q^{93} - 72q^{94} - 12q^{98} + 72q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(-1\)

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 0.866025i −0.353553 0.612372i
\(3\) −0.418670 + 1.68069i −0.241719 + 0.970346i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.0916492 0.0529137i 0.0409868 0.0236637i −0.479367 0.877615i \(-0.659134\pi\)
0.520353 + 0.853951i \(0.325800\pi\)
\(6\) 1.66485 0.477766i 0.679674 0.195047i
\(7\) 2.29863 + 1.31008i 0.868800 + 0.495163i
\(8\) 1.00000 0.353553
\(9\) −2.64943 1.40731i −0.883144 0.469102i
\(10\) −0.0916492 0.0529137i −0.0289820 0.0167328i
\(11\) 0.603696 1.04563i 0.182021 0.315270i −0.760547 0.649282i \(-0.775069\pi\)
0.942569 + 0.334012i \(0.108403\pi\)
\(12\) −1.24618 1.20292i −0.359743 0.347254i
\(13\) 3.60130 0.175001i 0.998821 0.0485364i
\(14\) −0.0147545 2.64571i −0.00394331 0.707096i
\(15\) 0.0505607 + 0.176187i 0.0130547 + 0.0454913i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) −1.14124 + 1.97669i −0.276792 + 0.479417i −0.970586 0.240756i \(-0.922605\pi\)
0.693794 + 0.720174i \(0.255938\pi\)
\(18\) 0.105953 + 2.99813i 0.0249733 + 0.706666i
\(19\) 1.82371 + 3.15875i 0.418387 + 0.724667i 0.995777 0.0918008i \(-0.0292623\pi\)
−0.577390 + 0.816468i \(0.695929\pi\)
\(20\) 0.105827i 0.0236637i
\(21\) −3.16420 + 3.31479i −0.690485 + 0.723347i
\(22\) −1.20739 −0.257417
\(23\) −0.845930 + 0.488398i −0.176389 + 0.101838i −0.585595 0.810604i \(-0.699139\pi\)
0.409206 + 0.912442i \(0.365806\pi\)
\(24\) −0.418670 + 1.68069i −0.0854606 + 0.343069i
\(25\) −2.49440 + 4.32043i −0.498880 + 0.864086i
\(26\) −1.95221 3.03132i −0.382859 0.594490i
\(27\) 3.47448 3.86367i 0.668664 0.743565i
\(28\) −2.28387 + 1.33563i −0.431612 + 0.252411i
\(29\) 7.03811i 1.30694i 0.756951 + 0.653472i \(0.226688\pi\)
−0.756951 + 0.653472i \(0.773312\pi\)
\(30\) 0.127302 0.131880i 0.0232421 0.0240780i
\(31\) −0.610707 + 1.05778i −0.109686 + 0.189982i −0.915643 0.401992i \(-0.868318\pi\)
0.805957 + 0.591974i \(0.201651\pi\)
\(32\) −0.500000 + 0.866025i −0.0883883 + 0.153093i
\(33\) 1.50463 + 1.45240i 0.261923 + 0.252830i
\(34\) 2.28248 0.391442
\(35\) 0.279988 0.00156143i 0.0473267 0.000263930i
\(36\) 2.54348 1.59082i 0.423913 0.265137i
\(37\) −2.01173 + 1.16147i −0.330726 + 0.190945i −0.656163 0.754619i \(-0.727822\pi\)
0.325438 + 0.945564i \(0.394488\pi\)
\(38\) 1.82371 3.15875i 0.295844 0.512417i
\(39\) −1.21363 + 6.12594i −0.194337 + 0.980935i
\(40\) 0.0916492 0.0529137i 0.0144910 0.00836639i
\(41\) 0.417669i 0.0652290i 0.999468 + 0.0326145i \(0.0103834\pi\)
−0.999468 + 0.0326145i \(0.989617\pi\)
\(42\) 4.45279 + 1.08288i 0.687081 + 0.167092i
\(43\) 4.90433 0.747903 0.373951 0.927448i \(-0.378003\pi\)
0.373951 + 0.927448i \(0.378003\pi\)
\(44\) 0.603696 + 1.04563i 0.0910106 + 0.157635i
\(45\) −0.317284 + 0.0112127i −0.0472979 + 0.00167149i
\(46\) 0.845930 + 0.488398i 0.124726 + 0.0720104i
\(47\) 1.47958 0.854236i 0.215819 0.124603i −0.388194 0.921578i \(-0.626901\pi\)
0.604013 + 0.796975i \(0.293568\pi\)
\(48\) 1.66485 0.477766i 0.240301 0.0689596i
\(49\) 3.56739 + 6.02276i 0.509628 + 0.860395i
\(50\) 4.98880 0.705523
\(51\) −2.84439 2.74565i −0.398295 0.384468i
\(52\) −1.64910 + 3.20632i −0.228688 + 0.444636i
\(53\) 1.77421 + 1.02434i 0.243706 + 0.140704i 0.616879 0.787058i \(-0.288397\pi\)
−0.373173 + 0.927762i \(0.621730\pi\)
\(54\) −5.08328 1.07715i −0.691747 0.146582i
\(55\) 0.127775i 0.0172292i
\(56\) 2.29863 + 1.31008i 0.307167 + 0.175066i
\(57\) −6.07241 + 1.74261i −0.804310 + 0.230814i
\(58\) 6.09518 3.51906i 0.800337 0.462075i
\(59\) 9.04020 + 5.21936i 1.17693 + 0.679503i 0.955303 0.295628i \(-0.0955287\pi\)
0.221631 + 0.975131i \(0.428862\pi\)
\(60\) −0.177863 0.0443067i −0.0229620 0.00571997i
\(61\) −8.67338 + 5.00758i −1.11051 + 0.641154i −0.938962 0.344021i \(-0.888211\pi\)
−0.171550 + 0.985175i \(0.554878\pi\)
\(62\) 1.22141 0.155120
\(63\) −4.24638 6.70584i −0.534994 0.844856i
\(64\) 1.00000 0.125000
\(65\) 0.320796 0.206597i 0.0397899 0.0256252i
\(66\) 0.505498 2.02925i 0.0622226 0.249784i
\(67\) −5.65318 3.26387i −0.690646 0.398745i 0.113208 0.993571i \(-0.463887\pi\)
−0.803854 + 0.594827i \(0.797221\pi\)
\(68\) −1.14124 1.97669i −0.138396 0.239709i
\(69\) −0.466680 1.62622i −0.0561817 0.195774i
\(70\) −0.141346 0.241696i −0.0168941 0.0288882i
\(71\) 2.72046 0.322859 0.161430 0.986884i \(-0.448390\pi\)
0.161430 + 0.986884i \(0.448390\pi\)
\(72\) −2.64943 1.40731i −0.312239 0.165853i
\(73\) 3.72258 6.44769i 0.435695 0.754645i −0.561658 0.827370i \(-0.689836\pi\)
0.997352 + 0.0727248i \(0.0231695\pi\)
\(74\) 2.01173 + 1.16147i 0.233858 + 0.135018i
\(75\) −6.21697 6.00114i −0.717874 0.692952i
\(76\) −3.64741 −0.418387
\(77\) 2.75753 1.61263i 0.314250 0.183777i
\(78\) 5.91203 2.01193i 0.669406 0.227806i
\(79\) −5.04911 8.74532i −0.568069 0.983925i −0.996757 0.0804722i \(-0.974357\pi\)
0.428687 0.903453i \(-0.358976\pi\)
\(80\) −0.0916492 0.0529137i −0.0102467 0.00591593i
\(81\) 5.03898 + 7.45713i 0.559886 + 0.828569i
\(82\) 0.361712 0.208835i 0.0399444 0.0230619i
\(83\) 11.6784i 1.28188i −0.767593 0.640938i \(-0.778546\pi\)
0.767593 0.640938i \(-0.221454\pi\)
\(84\) −1.28859 4.39767i −0.140597 0.479825i
\(85\) 0.241549i 0.0261997i
\(86\) −2.45216 4.24727i −0.264424 0.457995i
\(87\) −11.8289 2.94664i −1.26819 0.315913i
\(88\) 0.603696 1.04563i 0.0643542 0.111465i
\(89\) 14.7044 8.48960i 1.55867 0.899896i 0.561281 0.827626i \(-0.310309\pi\)
0.997385 0.0722705i \(-0.0230245\pi\)
\(90\) 0.168352 + 0.269170i 0.0177459 + 0.0283730i
\(91\) 8.50732 + 4.31572i 0.891810 + 0.452411i
\(92\) 0.976796i 0.101838i
\(93\) −1.52211 1.46927i −0.157835 0.152356i
\(94\) −1.47958 0.854236i −0.152607 0.0881077i
\(95\) 0.334282 + 0.192998i 0.0342966 + 0.0198012i
\(96\) −1.24618 1.20292i −0.127188 0.122773i
\(97\) −8.85297 −0.898883 −0.449441 0.893310i \(-0.648377\pi\)
−0.449441 + 0.893310i \(0.648377\pi\)
\(98\) 3.43217 6.10084i 0.346701 0.616278i
\(99\) −3.07098 + 1.92075i −0.308645 + 0.193042i
\(100\) −2.49440 4.32043i −0.249440 0.432043i
\(101\) 5.84190 10.1185i 0.581291 1.00682i −0.414036 0.910260i \(-0.635881\pi\)
0.995327 0.0965644i \(-0.0307854\pi\)
\(102\) −0.955606 + 3.83614i −0.0946191 + 0.379835i
\(103\) −0.999136 + 0.576851i −0.0984478 + 0.0568388i −0.548416 0.836206i \(-0.684769\pi\)
0.449968 + 0.893045i \(0.351435\pi\)
\(104\) 3.60130 0.175001i 0.353137 0.0171602i
\(105\) −0.114598 + 0.471227i −0.0111837 + 0.0459871i
\(106\) 2.04868i 0.198985i
\(107\) −10.5362 + 6.08311i −1.01858 + 0.588076i −0.913692 0.406408i \(-0.866781\pi\)
−0.104886 + 0.994484i \(0.533448\pi\)
\(108\) 1.60880 + 4.94083i 0.154807 + 0.475431i
\(109\) −6.24015 3.60275i −0.597698 0.345081i 0.170437 0.985368i \(-0.445482\pi\)
−0.768135 + 0.640287i \(0.778815\pi\)
\(110\) −0.110657 + 0.0638876i −0.0105507 + 0.00609144i
\(111\) −1.10982 3.86736i −0.105340 0.367073i
\(112\) −0.0147545 2.64571i −0.00139417 0.249996i
\(113\) 13.3168i 1.25274i 0.779526 + 0.626370i \(0.215460\pi\)
−0.779526 + 0.626370i \(0.784540\pi\)
\(114\) 4.54535 + 4.38756i 0.425711 + 0.410932i
\(115\) −0.0516859 + 0.0895226i −0.00481973 + 0.00834802i
\(116\) −6.09518 3.51906i −0.565924 0.326736i
\(117\) −9.78768 4.60448i −0.904872 0.425685i
\(118\) 10.4387i 0.960963i
\(119\) −5.21290 + 3.04856i −0.477866 + 0.279461i
\(120\) 0.0505607 + 0.176187i 0.00461554 + 0.0160836i
\(121\) 4.77110 + 8.26379i 0.433737 + 0.751254i
\(122\) 8.67338 + 5.00758i 0.785251 + 0.453365i
\(123\) −0.701972 0.174865i −0.0632947 0.0157671i
\(124\) −0.610707 1.05778i −0.0548431 0.0949910i
\(125\) 1.05709i 0.0945488i
\(126\) −3.68423 + 7.03039i −0.328218 + 0.626317i
\(127\) 13.7882 1.22351 0.611755 0.791048i \(-0.290464\pi\)
0.611755 + 0.791048i \(0.290464\pi\)
\(128\) −0.500000 0.866025i −0.0441942 0.0765466i
\(129\) −2.05329 + 8.24265i −0.180782 + 0.725725i
\(130\) −0.339316 0.174519i −0.0297600 0.0153064i
\(131\) −6.41784 11.1160i −0.560729 0.971212i −0.997433 0.0716063i \(-0.977187\pi\)
0.436704 0.899605i \(-0.356146\pi\)
\(132\) −2.01013 + 0.576851i −0.174960 + 0.0502085i
\(133\) 0.0538159 + 9.65000i 0.00466643 + 0.836761i
\(134\) 6.52773i 0.563910i
\(135\) 0.113992 0.537950i 0.00981088 0.0462994i
\(136\) −1.14124 + 1.97669i −0.0978606 + 0.169500i
\(137\) 2.91269 5.04492i 0.248848 0.431017i −0.714359 0.699780i \(-0.753282\pi\)
0.963206 + 0.268763i \(0.0866148\pi\)
\(138\) −1.17501 + 1.21727i −0.100024 + 0.103621i
\(139\) 18.0901i 1.53438i −0.641420 0.767190i \(-0.721654\pi\)
0.641420 0.767190i \(-0.278346\pi\)
\(140\) −0.138642 + 0.243258i −0.0117174 + 0.0205590i
\(141\) 0.816250 + 2.84436i 0.0687406 + 0.239538i
\(142\) −1.36023 2.35599i −0.114148 0.197710i
\(143\) 1.99111 3.87129i 0.166505 0.323733i
\(144\) 0.105953 + 2.99813i 0.00882938 + 0.249844i
\(145\) 0.372412 + 0.645037i 0.0309272 + 0.0535674i
\(146\) −7.44515 −0.616165
\(147\) −11.6160 + 3.47413i −0.958068 + 0.286542i
\(148\) 2.32294i 0.190945i
\(149\) 5.92542 + 10.2631i 0.485429 + 0.840788i 0.999860 0.0167437i \(-0.00532993\pi\)
−0.514430 + 0.857532i \(0.671997\pi\)
\(150\) −2.08866 + 8.38462i −0.170538 + 0.684602i
\(151\) −15.7115 9.07106i −1.27859 0.738192i −0.301998 0.953309i \(-0.597654\pi\)
−0.976588 + 0.215116i \(0.930987\pi\)
\(152\) 1.82371 + 3.15875i 0.147922 + 0.256209i
\(153\) 5.80545 3.63102i 0.469342 0.293551i
\(154\) −2.77535 1.58178i −0.223644 0.127463i
\(155\) 0.129259i 0.0103823i
\(156\) −4.69840 4.11401i −0.376173 0.329384i
\(157\) −15.3218 8.84604i −1.22281 0.705991i −0.257295 0.966333i \(-0.582831\pi\)
−0.965516 + 0.260342i \(0.916165\pi\)
\(158\) −5.04911 + 8.74532i −0.401686 + 0.695740i
\(159\) −2.46440 + 2.55303i −0.195440 + 0.202468i
\(160\) 0.105827i 0.00836639i
\(161\) −2.58432 + 0.0144122i −0.203673 + 0.00113584i
\(162\) 3.93857 8.09244i 0.309443 0.635802i
\(163\) 4.80436 2.77380i 0.376306 0.217261i −0.299904 0.953970i \(-0.596955\pi\)
0.676210 + 0.736709i \(0.263621\pi\)
\(164\) −0.361712 0.208835i −0.0282450 0.0163072i
\(165\) 0.214750 + 0.0534956i 0.0167183 + 0.00416462i
\(166\) −10.1138 + 5.83922i −0.784985 + 0.453211i
\(167\) 9.21026i 0.712712i −0.934350 0.356356i \(-0.884019\pi\)
0.934350 0.356356i \(-0.115981\pi\)
\(168\) −3.16420 + 3.31479i −0.244123 + 0.255742i
\(169\) 12.9387 1.26046i 0.995288 0.0969584i
\(170\) 0.209188 0.120775i 0.0160440 0.00926298i
\(171\) −0.386453 10.9354i −0.0295528 0.836252i
\(172\) −2.45216 + 4.24727i −0.186976 + 0.323851i
\(173\) 5.82669 + 10.0921i 0.442995 + 0.767289i 0.997910 0.0646174i \(-0.0205827\pi\)
−0.554915 + 0.831907i \(0.687249\pi\)
\(174\) 3.36257 + 11.7174i 0.254916 + 0.888296i
\(175\) −11.3938 + 6.66321i −0.861290 + 0.503691i
\(176\) −1.20739 −0.0910106
\(177\) −12.5570 + 13.0086i −0.943841 + 0.977785i
\(178\) −14.7044 8.48960i −1.10214 0.636323i
\(179\) −15.1632 8.75448i −1.13335 0.654341i −0.188576 0.982059i \(-0.560387\pi\)
−0.944776 + 0.327718i \(0.893720\pi\)
\(180\) 0.148932 0.280382i 0.0111007 0.0208985i
\(181\) 13.3881i 0.995127i −0.867428 0.497564i \(-0.834228\pi\)
0.867428 0.497564i \(-0.165772\pi\)
\(182\) −0.516136 9.52542i −0.0382586 0.706071i
\(183\) −4.78490 16.6738i −0.353710 1.23256i
\(184\) −0.845930 + 0.488398i −0.0623628 + 0.0360052i
\(185\) −0.122915 + 0.212896i −0.00903692 + 0.0156524i
\(186\) −0.511369 + 2.05282i −0.0374954 + 0.150520i
\(187\) 1.37793 + 2.38664i 0.100764 + 0.174528i
\(188\) 1.70847i 0.124603i
\(189\) 13.0483 4.32932i 0.949121 0.314912i
\(190\) 0.385996i 0.0280031i
\(191\) 12.8955 7.44521i 0.933084 0.538717i 0.0452987 0.998973i \(-0.485576\pi\)
0.887786 + 0.460257i \(0.152243\pi\)
\(192\) −0.418670 + 1.68069i −0.0302149 + 0.121293i
\(193\) 11.3018 + 6.52508i 0.813519 + 0.469685i 0.848176 0.529714i \(-0.177701\pi\)
−0.0346576 + 0.999399i \(0.511034\pi\)
\(194\) 4.42648 + 7.66690i 0.317803 + 0.550451i
\(195\) 0.212917 + 0.625655i 0.0152473 + 0.0448041i
\(196\) −6.99956 + 0.0780724i −0.499969 + 0.00557660i
\(197\) −8.81199 −0.627828 −0.313914 0.949451i \(-0.601640\pi\)
−0.313914 + 0.949451i \(0.601640\pi\)
\(198\) 3.19890 + 1.69917i 0.227336 + 0.120755i
\(199\) 13.8134 + 7.97517i 0.979206 + 0.565345i 0.902030 0.431673i \(-0.142076\pi\)
0.0771758 + 0.997017i \(0.475410\pi\)
\(200\) −2.49440 + 4.32043i −0.176381 + 0.305500i
\(201\) 7.85236 8.13476i 0.553863 0.573782i
\(202\) −11.6838 −0.822069
\(203\) −9.22047 + 16.1780i −0.647150 + 1.13547i
\(204\) 3.80000 1.09049i 0.266053 0.0763498i
\(205\) 0.0221004 + 0.0382790i 0.00154356 + 0.00267352i
\(206\) 0.999136 + 0.576851i 0.0696131 + 0.0401911i
\(207\) 2.92856 0.103494i 0.203549 0.00719334i
\(208\) −1.95221 3.03132i −0.135361 0.210184i
\(209\) 4.40386 0.304621
\(210\) 0.465394 0.136369i 0.0321152 0.00941033i
\(211\) 16.2666 1.11984 0.559919 0.828547i \(-0.310832\pi\)
0.559919 + 0.828547i \(0.310832\pi\)
\(212\) −1.77421 + 1.02434i −0.121853 + 0.0703518i
\(213\) −1.13897 + 4.57225i −0.0780412 + 0.313285i
\(214\) 10.5362 + 6.08311i 0.720243 + 0.415833i
\(215\) 0.449477 0.259506i 0.0306541 0.0176982i
\(216\) 3.47448 3.86367i 0.236408 0.262890i
\(217\) −2.78956 + 1.63136i −0.189367 + 0.110744i
\(218\) 7.20550i 0.488018i
\(219\) 9.27803 + 8.95594i 0.626951 + 0.605187i
\(220\) 0.110657 + 0.0638876i 0.00746046 + 0.00430730i
\(221\) −3.76403 + 7.31837i −0.253196 + 0.492287i
\(222\) −2.79432 + 2.89481i −0.187542 + 0.194287i
\(223\) 19.4124 1.29995 0.649975 0.759955i \(-0.274779\pi\)
0.649975 + 0.759955i \(0.274779\pi\)
\(224\) −2.28387 + 1.33563i −0.152598 + 0.0892407i
\(225\) 12.6889 7.93629i 0.845927 0.529086i
\(226\) 11.5327 6.65841i 0.767144 0.442911i
\(227\) −14.8984 8.60159i −0.988841 0.570908i −0.0839133 0.996473i \(-0.526742\pi\)
−0.904928 + 0.425566i \(0.860075\pi\)
\(228\) 1.52706 6.13017i 0.101132 0.405980i
\(229\) 4.77500 + 8.27054i 0.315541 + 0.546533i 0.979552 0.201190i \(-0.0644808\pi\)
−0.664012 + 0.747722i \(0.731147\pi\)
\(230\) 0.103372 0.00681613
\(231\) 1.55584 + 5.30972i 0.102367 + 0.349354i
\(232\) 7.03811i 0.462075i
\(233\) 9.52198 5.49752i 0.623806 0.360154i −0.154543 0.987986i \(-0.549391\pi\)
0.778349 + 0.627832i \(0.216057\pi\)
\(234\) 0.906241 + 10.7786i 0.0592429 + 0.704621i
\(235\) 0.0904015 0.156580i 0.00589714 0.0102142i
\(236\) −9.04020 + 5.21936i −0.588467 + 0.339752i
\(237\) 16.8121 4.82459i 1.09206 0.313391i
\(238\) 5.24658 + 2.99023i 0.340085 + 0.193828i
\(239\) 15.2257 0.984868 0.492434 0.870350i \(-0.336107\pi\)
0.492434 + 0.870350i \(0.336107\pi\)
\(240\) 0.127302 0.131880i 0.00821732 0.00851284i
\(241\) 8.18626 14.1790i 0.527323 0.913351i −0.472170 0.881508i \(-0.656529\pi\)
0.999493 0.0318429i \(-0.0101376\pi\)
\(242\) 4.77110 8.26379i 0.306698 0.531217i
\(243\) −14.6428 + 5.34688i −0.939334 + 0.343003i
\(244\) 10.0152i 0.641154i
\(245\) 0.645635 + 0.363217i 0.0412481 + 0.0232051i
\(246\) 0.199548 + 0.695358i 0.0127227 + 0.0443344i
\(247\) 7.12050 + 11.0565i 0.453067 + 0.703506i
\(248\) −0.610707 + 1.05778i −0.0387799 + 0.0671688i
\(249\) 19.6278 + 4.88941i 1.24386 + 0.309854i
\(250\) 0.915465 0.528544i 0.0578991 0.0334281i
\(251\) −5.68832 −0.359044 −0.179522 0.983754i \(-0.557455\pi\)
−0.179522 + 0.983754i \(0.557455\pi\)
\(252\) 7.93062 0.324556i 0.499582 0.0204451i
\(253\) 1.17938i 0.0741468i
\(254\) −6.89412 11.9410i −0.432576 0.749243i
\(255\) −0.405969 0.101129i −0.0254228 0.00633296i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 7.39698 + 12.8119i 0.461411 + 0.799187i 0.999032 0.0439995i \(-0.0140100\pi\)
−0.537621 + 0.843187i \(0.680677\pi\)
\(258\) 8.16499 2.34312i 0.508330 0.145876i
\(259\) −6.14583 + 0.0342739i −0.381883 + 0.00212968i
\(260\) 0.0185198 + 0.381116i 0.00114855 + 0.0236358i
\(261\) 9.90478 18.6470i 0.613090 1.15422i
\(262\) −6.41784 + 11.1160i −0.396496 + 0.686750i
\(263\) −20.3349 11.7403i −1.25390 0.723940i −0.282020 0.959409i \(-0.591004\pi\)
−0.971882 + 0.235468i \(0.924338\pi\)
\(264\) 1.50463 + 1.45240i 0.0926038 + 0.0893890i
\(265\) 0.216806 0.0133183
\(266\) 8.33023 4.87160i 0.510759 0.298697i
\(267\) 8.11209 + 28.2679i 0.496452 + 1.72997i
\(268\) 5.65318 3.26387i 0.345323 0.199372i
\(269\) 9.17404 15.8899i 0.559351 0.968824i −0.438200 0.898878i \(-0.644384\pi\)
0.997551 0.0699465i \(-0.0222829\pi\)
\(270\) −0.522875 + 0.170255i −0.0318211 + 0.0103614i
\(271\) 11.0400 + 19.1219i 0.670634 + 1.16157i 0.977725 + 0.209891i \(0.0673110\pi\)
−0.307091 + 0.951680i \(0.599356\pi\)
\(272\) 2.28248 0.138396
\(273\) −10.8151 + 12.4913i −0.654562 + 0.756008i
\(274\) −5.82537 −0.351924
\(275\) 3.01172 + 5.21645i 0.181614 + 0.314564i
\(276\) 1.64169 + 0.408955i 0.0988182 + 0.0246162i
\(277\) −1.11567 + 1.93239i −0.0670338 + 0.116106i −0.897594 0.440822i \(-0.854687\pi\)
0.830561 + 0.556928i \(0.188020\pi\)
\(278\) −15.6665 + 9.04503i −0.939612 + 0.542485i
\(279\) 3.10664 1.94305i 0.185990 0.116327i
\(280\) 0.279988 0.00156143i 0.0167325 9.33134e-5i
\(281\) −23.4884 −1.40120 −0.700600 0.713554i \(-0.747084\pi\)
−0.700600 + 0.713554i \(0.747084\pi\)
\(282\) 2.05516 2.12907i 0.122383 0.126784i
\(283\) −4.21753 2.43499i −0.250706 0.144745i 0.369381 0.929278i \(-0.379570\pi\)
−0.620088 + 0.784533i \(0.712903\pi\)
\(284\) −1.36023 + 2.35599i −0.0807148 + 0.139802i
\(285\) −0.464323 + 0.481022i −0.0275041 + 0.0284933i
\(286\) −4.34818 + 0.211294i −0.257114 + 0.0124941i
\(287\) −0.547179 + 0.960067i −0.0322990 + 0.0566710i
\(288\) 2.54348 1.59082i 0.149876 0.0937401i
\(289\) 5.89514 + 10.2107i 0.346773 + 0.600628i
\(290\) 0.372412 0.645037i 0.0218688 0.0378779i
\(291\) 3.70647 14.8791i 0.217277 0.872228i
\(292\) 3.72258 + 6.44769i 0.217847 + 0.377323i
\(293\) 3.97126i 0.232003i 0.993249 + 0.116002i \(0.0370078\pi\)
−0.993249 + 0.116002i \(0.962992\pi\)
\(294\) 8.81667 + 8.32264i 0.514198 + 0.485386i
\(295\) 1.10470 0.0643183
\(296\) −2.01173 + 1.16147i −0.116929 + 0.0675091i
\(297\) −1.94245 5.96552i −0.112713 0.346154i
\(298\) 5.92542 10.2631i 0.343250 0.594527i
\(299\) −2.96098 + 1.90691i −0.171238 + 0.110279i
\(300\) 8.30563 2.38348i 0.479526 0.137610i
\(301\) 11.2732 + 6.42505i 0.649778 + 0.370334i
\(302\) 18.1421i 1.04396i
\(303\) 14.5602 + 14.0547i 0.836460 + 0.807422i
\(304\) 1.82371 3.15875i 0.104597 0.181167i
\(305\) −0.529939 + 0.917880i −0.0303442 + 0.0525577i
\(306\) −6.04728 3.21215i −0.345700 0.183627i
\(307\) 3.58652 0.204694 0.102347 0.994749i \(-0.467365\pi\)
0.102347 + 0.994749i \(0.467365\pi\)
\(308\) 0.0178145 + 3.19441i 0.00101508 + 0.182018i
\(309\) −0.551200 1.92075i −0.0313567 0.109267i
\(310\) 0.111942 0.0646295i 0.00635785 0.00367071i
\(311\) 14.7153 25.4877i 0.834431 1.44528i −0.0600623 0.998195i \(-0.519130\pi\)
0.894493 0.447082i \(-0.147537\pi\)
\(312\) −1.21363 + 6.12594i −0.0687085 + 0.346813i
\(313\) −12.7524 + 7.36260i −0.720809 + 0.416159i −0.815050 0.579390i \(-0.803291\pi\)
0.0942416 + 0.995549i \(0.469957\pi\)
\(314\) 17.6921i 0.998421i
\(315\) −0.744008 0.389893i −0.0419201 0.0219680i
\(316\) 10.0982 0.568069
\(317\) −13.3964 23.2033i −0.752420 1.30323i −0.946647 0.322272i \(-0.895553\pi\)
0.194227 0.980957i \(-0.437780\pi\)
\(318\) 3.44319 + 0.857718i 0.193084 + 0.0480984i
\(319\) 7.35928 + 4.24888i 0.412040 + 0.237892i
\(320\) 0.0916492 0.0529137i 0.00512334 0.00295796i
\(321\) −5.81260 20.2550i −0.324428 1.13052i
\(322\) 1.30464 + 2.23088i 0.0727048 + 0.124322i
\(323\) −8.32515 −0.463224
\(324\) −8.97755 + 0.635319i −0.498753 + 0.0352955i
\(325\) −8.22701 + 15.9957i −0.456352 + 0.887281i
\(326\) −4.80436 2.77380i −0.266089 0.153626i
\(327\) 8.66767 8.97939i 0.479323 0.496561i
\(328\) 0.417669i 0.0230619i
\(329\) 4.52012 0.0252077i 0.249202 0.00138974i
\(330\) −0.0610466 0.212727i −0.00336051 0.0117102i
\(331\) 1.52884 0.882679i 0.0840329 0.0485164i −0.457395 0.889264i \(-0.651217\pi\)
0.541428 + 0.840747i \(0.317884\pi\)
\(332\) 10.1138 + 5.83922i 0.555068 + 0.320469i
\(333\) 6.96448 0.246122i 0.381651 0.0134874i
\(334\) −7.97632 + 4.60513i −0.436445 + 0.251982i
\(335\) −0.690813 −0.0377431
\(336\) 4.45279 + 1.08288i 0.242920 + 0.0590760i
\(337\) −19.9939 −1.08913 −0.544567 0.838717i \(-0.683306\pi\)
−0.544567 + 0.838717i \(0.683306\pi\)
\(338\) −7.56096 10.5751i −0.411262 0.575207i
\(339\) −22.3814 5.57534i −1.21559 0.302811i
\(340\) −0.209188 0.120775i −0.0113448 0.00654992i
\(341\) 0.737363 + 1.27715i 0.0399304 + 0.0691615i
\(342\) −9.27712 + 5.80238i −0.501649 + 0.313757i
\(343\) 0.309832 + 18.5177i 0.0167294 + 0.999860i
\(344\) 4.90433 0.264424
\(345\) −0.128820 0.124348i −0.00693545 0.00669469i
\(346\) 5.82669 10.0921i 0.313245 0.542556i
\(347\) −5.40323 3.11955i −0.290060 0.167466i 0.347909 0.937528i \(-0.386892\pi\)
−0.637969 + 0.770062i \(0.720225\pi\)
\(348\) 8.46631 8.77079i 0.453842 0.470163i
\(349\) 5.19865 0.278278 0.139139 0.990273i \(-0.455567\pi\)
0.139139 + 0.990273i \(0.455567\pi\)
\(350\) 11.4674 + 6.53571i 0.612959 + 0.349349i
\(351\) 11.8365 14.5223i 0.631786 0.775143i
\(352\) 0.603696 + 1.04563i 0.0321771 + 0.0557324i
\(353\) −21.5387 12.4354i −1.14639 0.661869i −0.198386 0.980124i \(-0.563570\pi\)
−0.948005 + 0.318255i \(0.896903\pi\)
\(354\) 17.5443 + 4.37038i 0.932466 + 0.232283i
\(355\) 0.249328 0.143950i 0.0132330 0.00764005i
\(356\) 16.9792i 0.899896i
\(357\) −2.94119 10.0376i −0.155665 0.531247i
\(358\) 17.5090i 0.925378i
\(359\) 15.5010 + 26.8486i 0.818113 + 1.41701i 0.907071 + 0.420979i \(0.138313\pi\)
−0.0889571 + 0.996035i \(0.528353\pi\)
\(360\) −0.317284 + 0.0112127i −0.0167223 + 0.000590960i
\(361\) 2.84819 4.93321i 0.149905 0.259643i
\(362\) −11.5944 + 6.69403i −0.609388 + 0.351831i
\(363\) −15.8864 + 4.55894i −0.833819 + 0.239282i
\(364\) −7.99119 + 5.20970i −0.418852 + 0.273062i
\(365\) 0.787901i 0.0412406i
\(366\) −12.0475 + 12.4807i −0.629731 + 0.652378i
\(367\) 14.7620 + 8.52284i 0.770570 + 0.444889i 0.833078 0.553156i \(-0.186577\pi\)
−0.0625080 + 0.998044i \(0.519910\pi\)
\(368\) 0.845930 + 0.488398i 0.0440972 + 0.0254595i
\(369\) 0.587789 1.10659i 0.0305991 0.0576066i
\(370\) 0.245831 0.0127801
\(371\) 2.73628 + 4.67892i 0.142061 + 0.242917i
\(372\) 2.03348 0.583550i 0.105431 0.0302557i
\(373\) −10.9216 18.9168i −0.565501 0.979476i −0.997003 0.0773640i \(-0.975350\pi\)
0.431502 0.902112i \(-0.357984\pi\)
\(374\) 1.37793 2.38664i 0.0712508 0.123410i
\(375\) −1.77664 0.442571i −0.0917451 0.0228542i
\(376\) 1.47958 0.854236i 0.0763035 0.0440538i
\(377\) 1.23167 + 25.3464i 0.0634344 + 1.30540i
\(378\) −10.2734 9.13546i −0.528408 0.469878i
\(379\) 29.5625i 1.51852i −0.650786 0.759261i \(-0.725560\pi\)
0.650786 0.759261i \(-0.274440\pi\)
\(380\) −0.334282 + 0.192998i −0.0171483 + 0.00990059i
\(381\) −5.77272 + 23.1738i −0.295745 + 1.18723i
\(382\) −12.8955 7.44521i −0.659790 0.380930i
\(383\) −13.3338 + 7.69829i −0.681327 + 0.393364i −0.800355 0.599527i \(-0.795356\pi\)
0.119028 + 0.992891i \(0.462022\pi\)
\(384\) 1.66485 0.477766i 0.0849592 0.0243809i
\(385\) 0.167395 0.293708i 0.00853125 0.0149687i
\(386\) 13.0502i 0.664235i
\(387\) −12.9937 6.90189i −0.660506 0.350843i
\(388\) 4.42648 7.66690i 0.224721 0.389228i
\(389\) −9.83397 5.67765i −0.498602 0.287868i 0.229534 0.973301i \(-0.426280\pi\)
−0.728136 + 0.685433i \(0.759613\pi\)
\(390\) 0.435374 0.497219i 0.0220460 0.0251777i
\(391\) 2.22952i 0.112752i
\(392\) 3.56739 + 6.02276i 0.180181 + 0.304196i
\(393\) 21.3695 6.13245i 1.07795 0.309341i
\(394\) 4.40599 + 7.63140i 0.221971 + 0.384465i
\(395\) −0.925494 0.534334i −0.0465666 0.0268853i
\(396\) −0.127926 3.61992i −0.00642854 0.181908i
\(397\) −12.6212 21.8606i −0.633440 1.09715i −0.986843 0.161679i \(-0.948309\pi\)
0.353404 0.935471i \(-0.385024\pi\)
\(398\) 15.9503i 0.799519i
\(399\) −16.2412 3.94971i −0.813076 0.197733i
\(400\) 4.98880 0.249440
\(401\) 17.2752 + 29.9215i 0.862681 + 1.49421i 0.869331 + 0.494230i \(0.164550\pi\)
−0.00665018 + 0.999978i \(0.502117\pi\)
\(402\) −10.9711 2.73296i −0.547188 0.136308i
\(403\) −2.01423 + 3.91624i −0.100336 + 0.195082i
\(404\) 5.84190 + 10.1185i 0.290645 + 0.503412i
\(405\) 0.856402 + 0.416809i 0.0425550 + 0.0207114i
\(406\) 18.6208 0.103844i 0.924135 0.00515369i
\(407\) 2.80470i 0.139024i
\(408\) −2.84439 2.74565i −0.140818 0.135930i
\(409\) −4.95129 + 8.57588i −0.244825 + 0.424050i −0.962083 0.272759i \(-0.912064\pi\)
0.717257 + 0.696809i \(0.245397\pi\)
\(410\) 0.0221004 0.0382790i 0.00109146 0.00189047i
\(411\) 7.25949 + 7.00747i 0.358084 + 0.345653i
\(412\) 1.15370i 0.0568388i
\(413\) 13.9423 + 23.8407i 0.686056 + 1.17313i
\(414\) −1.55391 2.48446i −0.0763705 0.122105i
\(415\) −0.617949 1.07032i −0.0303339 0.0525399i
\(416\) −1.64910 + 3.20632i −0.0808536 + 0.157203i
\(417\) 30.4038 + 7.57376i 1.48888 + 0.370889i
\(418\) −2.20193 3.81385i −0.107700 0.186542i
\(419\) −26.9663 −1.31739 −0.658694 0.752411i \(-0.728891\pi\)
−0.658694 + 0.752411i \(0.728891\pi\)
\(420\) −0.350796 0.334859i −0.0171171 0.0163394i
\(421\) 10.6473i 0.518917i −0.965754 0.259458i \(-0.916456\pi\)
0.965754 0.259458i \(-0.0835440\pi\)
\(422\) −8.13330 14.0873i −0.395923 0.685758i
\(423\) −5.12222 + 0.181017i −0.249051 + 0.00880135i
\(424\) 1.77421 + 1.02434i 0.0861630 + 0.0497463i
\(425\) −5.69342 9.86130i −0.276172 0.478343i
\(426\) 4.52917 1.29974i 0.219439 0.0629728i
\(427\) −26.4972 + 0.147769i −1.28229 + 0.00715104i
\(428\) 12.1662i 0.588076i
\(429\) 5.67281 + 4.96722i 0.273886 + 0.239820i
\(430\) −0.449477 0.259506i −0.0216757 0.0125145i
\(431\) 11.0130 19.0751i 0.530478 0.918816i −0.468889 0.883257i \(-0.655346\pi\)
0.999368 0.0355586i \(-0.0113211\pi\)
\(432\) −5.08328 1.07715i −0.244569 0.0518245i
\(433\) 35.6522i 1.71334i 0.515868 + 0.856668i \(0.327470\pi\)
−0.515868 + 0.856668i \(0.672530\pi\)
\(434\) 2.80758 + 1.60015i 0.134768 + 0.0768095i
\(435\) −1.24002 + 0.355852i −0.0594546 + 0.0170618i
\(436\) 6.24015 3.60275i 0.298849 0.172541i
\(437\) −3.08546 1.78139i −0.147597 0.0852154i
\(438\) 3.11706 12.5130i 0.148939 0.597894i
\(439\) −8.95324 + 5.16916i −0.427315 + 0.246710i −0.698202 0.715901i \(-0.746016\pi\)
0.270887 + 0.962611i \(0.412683\pi\)
\(440\) 0.127775i 0.00609144i
\(441\) −0.975693 20.9773i −0.0464616 0.998920i
\(442\) 8.21991 0.399436i 0.390981 0.0189992i
\(443\) −33.8232 + 19.5279i −1.60699 + 0.927796i −0.616952 + 0.787001i \(0.711633\pi\)
−0.990039 + 0.140795i \(0.955034\pi\)
\(444\) 3.90414 + 0.972545i 0.185282 + 0.0461549i
\(445\) 0.898432 1.55613i 0.0425898 0.0737676i
\(446\) −9.70620 16.8116i −0.459602 0.796054i
\(447\) −19.7299 + 5.66193i −0.933193 + 0.267800i
\(448\) 2.29863 + 1.31008i 0.108600 + 0.0618953i
\(449\) −14.4259 −0.680801 −0.340400 0.940281i \(-0.610563\pi\)
−0.340400 + 0.940281i \(0.610563\pi\)
\(450\) −13.2175 7.02077i −0.623078 0.330962i
\(451\) 0.436729 + 0.252145i 0.0205647 + 0.0118731i
\(452\) −11.5327 6.65841i −0.542453 0.313185i
\(453\) 21.8236 22.6084i 1.02536 1.06224i
\(454\) 17.2032i 0.807385i
\(455\) 1.00805 0.0546213i 0.0472581 0.00256069i
\(456\) −6.07241 + 1.74261i −0.284367 + 0.0816052i
\(457\) −35.3848 + 20.4294i −1.65523 + 0.955647i −0.680357 + 0.732881i \(0.738175\pi\)
−0.974872 + 0.222766i \(0.928491\pi\)
\(458\) 4.77500 8.27054i 0.223121 0.386457i
\(459\) 3.67206 + 11.2773i 0.171397 + 0.526381i
\(460\) −0.0516859 0.0895226i −0.00240987 0.00417401i
\(461\) 12.6945i 0.591242i 0.955305 + 0.295621i \(0.0955265\pi\)
−0.955305 + 0.295621i \(0.904474\pi\)
\(462\) 3.82043 4.00225i 0.177742 0.186202i
\(463\) 30.2556i 1.40610i −0.711141 0.703049i \(-0.751821\pi\)
0.711141 0.703049i \(-0.248179\pi\)
\(464\) 6.09518 3.51906i 0.282962 0.163368i
\(465\) −0.217244 0.0541168i −0.0100745 0.00250961i
\(466\) −9.52198 5.49752i −0.441097 0.254668i
\(467\) 7.65871 + 13.2653i 0.354403 + 0.613844i 0.987016 0.160624i \(-0.0513508\pi\)
−0.632613 + 0.774468i \(0.718017\pi\)
\(468\) 8.88144 6.17414i 0.410545 0.285400i
\(469\) −8.71865 14.9085i −0.402590 0.688412i
\(470\) −0.180803 −0.00833982
\(471\) 21.2822 22.0476i 0.980632 1.01590i
\(472\) 9.04020 + 5.21936i 0.416109 + 0.240241i
\(473\) 2.96072 5.12812i 0.136134 0.235791i
\(474\) −12.5843 12.1474i −0.578014 0.557948i
\(475\) −18.1962 −0.834900
\(476\) −0.0336769 6.03879i −0.00154358 0.276787i
\(477\) −3.25908 5.21076i −0.149223 0.238585i
\(478\) −7.61285 13.1858i −0.348203 0.603106i
\(479\) −36.8694 21.2866i −1.68461 0.972608i −0.958529 0.284996i \(-0.908008\pi\)
−0.726078 0.687612i \(-0.758659\pi\)
\(480\) −0.177863 0.0443067i −0.00811829 0.00202231i
\(481\) −7.04158 + 4.53486i −0.321068 + 0.206772i
\(482\) −16.3725 −0.745748
\(483\) 1.05775 4.34947i 0.0481295 0.197908i
\(484\) −9.54220 −0.433737
\(485\) −0.811367 + 0.468443i −0.0368423 + 0.0212709i
\(486\) 11.9519 + 10.0076i 0.542150 + 0.453953i
\(487\) −4.29100 2.47741i −0.194444 0.112262i 0.399617 0.916682i \(-0.369143\pi\)
−0.594061 + 0.804420i \(0.702476\pi\)
\(488\) −8.67338 + 5.00758i −0.392625 + 0.226682i
\(489\) 2.65045 + 9.23594i 0.119858 + 0.417664i
\(490\) −0.00826220 0.740745i −0.000373248 0.0334635i
\(491\) 36.3557i 1.64071i 0.571853 + 0.820356i \(0.306225\pi\)
−0.571853 + 0.820356i \(0.693775\pi\)
\(492\) 0.502424 0.520493i 0.0226510 0.0234656i
\(493\) −13.9121 8.03218i −0.626572 0.361751i
\(494\) 6.01493 11.6948i 0.270625 0.526172i
\(495\) −0.179819 + 0.338532i −0.00808225 + 0.0152159i
\(496\) 1.22141 0.0548431
\(497\) 6.25333 + 3.56401i 0.280500 + 0.159868i
\(498\) −5.57956 19.4429i −0.250026 0.871257i
\(499\) 22.8436 13.1887i 1.02262 0.590409i 0.107757 0.994177i \(-0.465633\pi\)
0.914861 + 0.403769i \(0.132300\pi\)
\(500\) −0.915465 0.528544i −0.0409409 0.0236372i
\(501\) 15.4796 + 3.85606i 0.691577 + 0.172276i
\(502\) 2.84416 + 4.92623i 0.126941 + 0.219868i
\(503\) 33.8590 1.50970 0.754849 0.655898i \(-0.227710\pi\)
0.754849 + 0.655898i \(0.227710\pi\)
\(504\) −4.24638 6.70584i −0.189149 0.298702i
\(505\) 1.23647i 0.0550220i
\(506\) 1.02137 0.589688i 0.0454054 0.0262148i
\(507\) −3.29862 + 22.2737i −0.146497 + 0.989211i
\(508\) −6.89412 + 11.9410i −0.305877 + 0.529795i
\(509\) 34.0447 19.6557i 1.50901 0.871225i 0.509061 0.860730i \(-0.329993\pi\)
0.999945 0.0104951i \(-0.00334074\pi\)
\(510\) 0.115404 + 0.402144i 0.00511017 + 0.0178072i
\(511\) 17.0038 9.94399i 0.752204 0.439896i
\(512\) 1.00000 0.0441942
\(513\) 18.5408 + 3.92882i 0.818597 + 0.173461i
\(514\) 7.39698 12.8119i 0.326267 0.565111i
\(515\) −0.0610466 + 0.105736i −0.00269004 + 0.00465928i
\(516\) −6.11170 5.89953i −0.269052 0.259712i
\(517\) 2.06280i 0.0907216i
\(518\) 3.10260 + 5.30531i 0.136320 + 0.233102i
\(519\) −19.4012 + 5.56759i −0.851617 + 0.244390i
\(520\) 0.320796 0.206597i 0.0140679 0.00905987i
\(521\) −8.81970 + 15.2762i −0.386398 + 0.669261i −0.991962 0.126535i \(-0.959614\pi\)
0.605564 + 0.795797i \(0.292948\pi\)
\(522\) −21.1012 + 0.745706i −0.923573 + 0.0326387i
\(523\) 17.8468 10.3039i 0.780387 0.450557i −0.0561804 0.998421i \(-0.517892\pi\)
0.836567 + 0.547864i \(0.184559\pi\)
\(524\) 12.8357 0.560729
\(525\) −6.42854 21.9391i −0.280565 0.957501i
\(526\) 23.4807i 1.02381i
\(527\) −1.39393 2.41435i −0.0607204 0.105171i
\(528\) 0.505498 2.02925i 0.0219990 0.0883118i
\(529\) −11.0229 + 19.0923i −0.479258 + 0.830099i
\(530\) −0.108403 0.187759i −0.00470872 0.00815575i
\(531\) −16.6062 26.5507i −0.720646 1.15220i
\(532\) −8.38405 4.77839i −0.363495 0.207170i
\(533\) 0.0730924 + 1.50415i 0.00316598 + 0.0651521i
\(534\) 20.4247 21.1592i 0.883862 0.915649i
\(535\) −0.643759 + 1.11502i −0.0278321 + 0.0482067i
\(536\) −5.65318 3.26387i −0.244180 0.140978i
\(537\) 21.0619 21.8194i 0.908890 0.941577i
\(538\) −18.3481 −0.791042
\(539\) 8.45122 0.0942640i 0.364020 0.00406024i
\(540\) 0.408882 + 0.367695i 0.0175955 + 0.0158231i
\(541\) −17.1036 + 9.87474i −0.735339 + 0.424548i −0.820372 0.571830i \(-0.806234\pi\)
0.0850330 + 0.996378i \(0.472900\pi\)
\(542\) 11.0400 19.1219i 0.474210 0.821355i
\(543\) 22.5012 + 5.60518i 0.965618 + 0.240541i
\(544\) −1.14124 1.97669i −0.0489303 0.0847498i
\(545\) −0.762539 −0.0326636
\(546\) 16.2254 + 3.12054i 0.694381 + 0.133547i
\(547\) −25.0148 −1.06956 −0.534778 0.844992i \(-0.679605\pi\)
−0.534778 + 0.844992i \(0.679605\pi\)
\(548\) 2.91269 + 5.04492i 0.124424 + 0.215508i
\(549\) 30.0267 1.06113i 1.28151 0.0452880i
\(550\) 3.01172 5.21645i 0.128420 0.222430i
\(551\) −22.2316 + 12.8354i −0.947100 + 0.546808i
\(552\) −0.466680 1.62622i −0.0198632 0.0692167i
\(553\) −0.148995 26.7170i −0.00633589 1.13612i
\(554\) 2.23133 0.0948002
\(555\) −0.306350 0.295715i −0.0130039 0.0125524i
\(556\) 15.6665 + 9.04503i 0.664406 + 0.383595i
\(557\) 4.88652 8.46370i 0.207049 0.358619i −0.743735 0.668475i \(-0.766948\pi\)
0.950783 + 0.309856i \(0.100281\pi\)
\(558\) −3.23605 1.71890i −0.136993 0.0727670i
\(559\) 17.6620 0.858260i 0.747021 0.0363005i
\(560\) −0.141346 0.241696i −0.00597298 0.0102135i
\(561\) −4.58809 + 1.31665i −0.193709 + 0.0555891i
\(562\) 11.7442 + 20.3416i 0.495399 + 0.858057i
\(563\) −0.418795 + 0.725375i −0.0176501 + 0.0305709i −0.874716 0.484637i \(-0.838952\pi\)
0.857065 + 0.515208i \(0.172285\pi\)
\(564\) −2.87141 0.715285i −0.120908 0.0301189i
\(565\) 0.704642 + 1.22048i 0.0296445 + 0.0513458i
\(566\) 4.86999i 0.204701i
\(567\) 1.81333 + 23.7426i 0.0761527 + 0.997096i
\(568\) 2.72046 0.114148
\(569\) −23.1014 + 13.3376i −0.968463 + 0.559142i −0.898767 0.438426i \(-0.855536\pi\)
−0.0696956 + 0.997568i \(0.522203\pi\)
\(570\) 0.648739 + 0.161605i 0.0271727 + 0.00676888i
\(571\) 11.7217 20.3025i 0.490536 0.849633i −0.509405 0.860527i \(-0.670134\pi\)
0.999941 + 0.0108941i \(0.00346775\pi\)
\(572\) 2.35708 + 3.65999i 0.0985544 + 0.153032i
\(573\) 7.11414 + 24.7904i 0.297197 + 1.03563i
\(574\) 1.10503 0.00616251i 0.0461231 0.000257218i
\(575\) 4.87304i 0.203220i
\(576\) −2.64943 1.40731i −0.110393 0.0586378i
\(577\) −2.28855 + 3.96389i −0.0952736 + 0.165019i −0.909723 0.415216i \(-0.863706\pi\)
0.814449 + 0.580235i \(0.197039\pi\)
\(578\) 5.89514 10.2107i 0.245205 0.424708i
\(579\) −15.6983 + 16.2629i −0.652400 + 0.675863i
\(580\) −0.744825 −0.0309272
\(581\) 15.2997 26.8444i 0.634737 1.11369i
\(582\) −14.7389 + 4.22965i −0.610947 + 0.175325i
\(583\) 2.14216 1.23678i 0.0887193 0.0512221i
\(584\) 3.72258 6.44769i 0.154041 0.266807i
\(585\) −1.14067 + 0.0959051i −0.0471610 + 0.00396519i
\(586\) 3.43921 1.98563i 0.142072 0.0820256i
\(587\) 36.9891i 1.52670i −0.645982 0.763352i \(-0.723552\pi\)
0.645982 0.763352i \(-0.276448\pi\)
\(588\) 2.79929 11.7968i 0.115441 0.486491i
\(589\) −4.45500 −0.183565
\(590\) −0.552351 0.956700i −0.0227399 0.0393867i
\(591\) 3.68931 14.8102i 0.151758 0.609211i
\(592\) 2.01173 + 1.16147i 0.0826814 + 0.0477362i
\(593\) 24.0004 13.8566i 0.985579 0.569024i 0.0816289 0.996663i \(-0.473988\pi\)
0.903950 + 0.427639i \(0.140654\pi\)
\(594\) −4.19506 + 4.66497i −0.172125 + 0.191406i
\(595\) −0.316448 + 0.555232i −0.0129731 + 0.0227623i
\(596\) −11.8508 −0.485429
\(597\) −19.1870 + 19.8771i −0.785273 + 0.813515i
\(598\) 3.13192 + 1.61083i 0.128074 + 0.0658718i
\(599\) 10.8738 + 6.27799i 0.444291 + 0.256512i 0.705416 0.708793i \(-0.250760\pi\)
−0.261125 + 0.965305i \(0.584093\pi\)
\(600\) −6.21697 6.00114i −0.253807 0.244996i
\(601\) 10.7277i 0.437594i 0.975770 + 0.218797i \(0.0702132\pi\)
−0.975770 + 0.218797i \(0.929787\pi\)
\(602\) −0.0723610 12.9754i −0.00294922 0.528839i
\(603\) 10.3845 + 16.6032i 0.422888 + 0.676133i
\(604\) 15.7115 9.07106i 0.639293 0.369096i
\(605\) 0.874535 + 0.504913i 0.0355549 + 0.0205276i
\(606\) 4.89165 19.6368i 0.198710 0.797692i
\(607\) 27.0857 15.6379i 1.09937 0.634724i 0.163318 0.986574i \(-0.447780\pi\)
0.936057 + 0.351849i \(0.114447\pi\)
\(608\) −3.64741 −0.147922
\(609\) −23.3299 22.2700i −0.945374 0.902425i
\(610\) 1.05988 0.0429132
\(611\) 5.17892 3.33529i 0.209517 0.134931i
\(612\) 0.241835 + 6.84317i 0.00977560 + 0.276619i
\(613\) −10.8577 6.26872i −0.438540 0.253191i 0.264438 0.964403i \(-0.414813\pi\)
−0.702978 + 0.711212i \(0.748147\pi\)
\(614\) −1.79326 3.10602i −0.0723702 0.125349i
\(615\) −0.0735879 + 0.0211177i −0.00296735 + 0.000851546i
\(616\) 2.75753 1.61263i 0.111104 0.0649748i
\(617\) −7.90025 −0.318052 −0.159026 0.987274i \(-0.550835\pi\)
−0.159026 + 0.987274i \(0.550835\pi\)
\(618\) −1.38782 + 1.43773i −0.0558261 + 0.0578338i
\(619\) 5.53340 9.58414i 0.222406 0.385219i −0.733132 0.680086i \(-0.761942\pi\)
0.955538 + 0.294868i \(0.0952755\pi\)
\(620\) −0.111942 0.0646295i −0.00449568 0.00259558i
\(621\) −1.05216 + 4.96533i −0.0422216 + 0.199252i
\(622\) −29.4307 −1.18006
\(623\) 44.9221 0.250520i 1.79976 0.0100369i
\(624\) 5.91203 2.01193i 0.236671 0.0805417i
\(625\) −12.4161 21.5053i −0.496643 0.860210i
\(626\) 12.7524 + 7.36260i 0.509689 + 0.294269i
\(627\) −1.84376 + 7.40152i −0.0736327 + 0.295588i
\(628\) 15.3218 8.84604i 0.611406 0.352995i
\(629\) 5.30207i 0.211407i
\(630\) 0.0343469 + 0.839276i 0.00136841 + 0.0334376i
\(631\) 18.1982i 0.724461i 0.932089 + 0.362230i \(0.117985\pi\)
−0.932089 + 0.362230i \(0.882015\pi\)
\(632\) −5.04911 8.74532i −0.200843 0.347870i
\(633\) −6.81033 + 27.3391i −0.270686 + 1.08663i
\(634\) −13.3964 + 23.2033i −0.532041 + 0.921522i
\(635\) 1.26368 0.729587i 0.0501477 0.0289528i
\(636\) −0.978788 3.41075i −0.0388115 0.135245i
\(637\) 13.9013 + 21.0655i 0.550788 + 0.834645i
\(638\) 8.49776i 0.336430i
\(639\) −7.20767 3.82852i −0.285131 0.151454i
\(640\) −0.0916492 0.0529137i −0.00362275 0.00209160i
\(641\) 5.02205 + 2.89948i 0.198359 + 0.114523i 0.595890 0.803066i \(-0.296800\pi\)
−0.397531 + 0.917589i \(0.630133\pi\)
\(642\) −14.6350 + 15.1613i −0.577598 + 0.598371i
\(643\) −17.1073 −0.674646 −0.337323 0.941389i \(-0.609521\pi\)
−0.337323 + 0.941389i \(0.609521\pi\)
\(644\) 1.27968 2.24529i 0.0504264 0.0884769i
\(645\) 0.247966 + 0.864079i 0.00976366 + 0.0340231i
\(646\) 4.16258 + 7.20979i 0.163774 + 0.283666i
\(647\) 6.64633 11.5118i 0.261294 0.452575i −0.705292 0.708917i \(-0.749184\pi\)
0.966586 + 0.256342i \(0.0825174\pi\)
\(648\) 5.03898 + 7.45713i 0.197950 + 0.292944i
\(649\) 10.9151 6.30182i 0.428454 0.247368i
\(650\) 17.9662 0.873043i 0.704691 0.0342436i
\(651\) −1.57391 5.37138i −0.0616863 0.210521i
\(652\) 5.54760i 0.217261i
\(653\) −20.2462 + 11.6891i −0.792295 + 0.457432i −0.840770 0.541393i \(-0.817897\pi\)
0.0484750 + 0.998824i \(0.484564\pi\)
\(654\) −12.1102 3.01673i −0.473547 0.117963i
\(655\) −1.17638 0.679183i −0.0459650 0.0265379i
\(656\) 0.361712 0.208835i 0.0141225 0.00815362i
\(657\) −18.9366 + 11.8439i −0.738787 + 0.462075i
\(658\) −2.28189 3.90193i −0.0889574 0.152113i
\(659\) 1.60689i 0.0625954i −0.999510 0.0312977i \(-0.990036\pi\)
0.999510 0.0312977i \(-0.00996400\pi\)
\(660\) −0.153704 + 0.159231i −0.00598291 + 0.00619807i
\(661\) 3.91663 6.78381i 0.152339 0.263860i −0.779748 0.626094i \(-0.784653\pi\)
0.932087 + 0.362234i \(0.117986\pi\)
\(662\) −1.52884 0.882679i −0.0594202 0.0343063i
\(663\) −10.7240 9.39014i −0.416486 0.364683i
\(664\) 11.6784i 0.453211i
\(665\) 0.515549 + 0.881567i 0.0199921 + 0.0341857i
\(666\) −3.69539 5.90835i −0.143193 0.228944i
\(667\) −3.43740 5.95375i −0.133097 0.230530i
\(668\) 7.97632 + 4.60513i 0.308613 + 0.178178i
\(669\) −8.12738 + 32.6262i −0.314223 + 1.26140i
\(670\) 0.345406 + 0.598261i 0.0133442 + 0.0231129i
\(671\) 12.0922i 0.466815i
\(672\) −1.28859 4.39767i −0.0497086 0.169644i
\(673\) −26.3985 −1.01759 −0.508793 0.860889i \(-0.669908\pi\)
−0.508793 + 0.860889i \(0.669908\pi\)
\(674\) 9.99693 + 17.3152i 0.385067 + 0.666956i
\(675\) 8.02598 + 24.6488i 0.308920 + 0.948733i
\(676\) −5.37778 + 11.8355i −0.206838 + 0.455212i
\(677\) −9.98440 17.2935i −0.383732 0.664643i 0.607861 0.794044i \(-0.292028\pi\)
−0.991592 + 0.129401i \(0.958695\pi\)
\(678\) 6.36232 + 22.1706i 0.244344 + 0.851455i
\(679\) −20.3497 11.5981i −0.780950 0.445093i
\(680\) 0.241549i 0.00926298i
\(681\) 20.6941 21.4383i 0.793000 0.821519i
\(682\) 0.737363 1.27715i 0.0282351 0.0489046i
\(683\) −20.4986 + 35.5046i −0.784357 + 1.35855i 0.145026 + 0.989428i \(0.453673\pi\)
−0.929383 + 0.369118i \(0.879660\pi\)
\(684\) 9.66357 + 5.13303i 0.369496 + 0.196266i
\(685\) 0.616484i 0.0235546i
\(686\) 15.8819 9.52716i 0.606372 0.363749i
\(687\) −15.8993 + 4.56266i −0.606598 + 0.174076i
\(688\) −2.45216 4.24727i −0.0934879 0.161926i
\(689\) 6.56871 + 3.37846i 0.250248 + 0.128709i
\(690\) −0.0432786 + 0.173736i −0.00164759 + 0.00661401i
\(691\) −3.60774 6.24879i −0.137245 0.237715i 0.789208 0.614126i \(-0.210491\pi\)
−0.926453 + 0.376411i \(0.877158\pi\)
\(692\) −11.6534 −0.442995
\(693\) −9.57537 + 0.391866i −0.363738 + 0.0148858i
\(694\) 6.23911i 0.236833i
\(695\) −0.957212 1.65794i −0.0363091 0.0628892i
\(696\) −11.8289 2.94664i −0.448372 0.111692i
\(697\) −0.825602 0.476661i −0.0312719 0.0180548i
\(698\) −2.59933 4.50217i −0.0983860 0.170410i
\(699\) 5.25306 + 18.3051i 0.198689 + 0.692364i
\(700\) −0.0736074 13.1989i −0.00278210 0.498872i
\(701\) 20.2655i 0.765419i 0.923869 + 0.382709i \(0.125009\pi\)
−0.923869 + 0.382709i \(0.874991\pi\)
\(702\) −18.4949 2.98957i −0.698046 0.112834i
\(703\) −7.33760 4.23636i −0.276743 0.159777i
\(704\) 0.603696 1.04563i 0.0227527 0.0394088i
\(705\) 0.225314 + 0.217492i 0.00848581 + 0.00819123i
\(706\) 24.8708i 0.936024i
\(707\) 26.6843 15.6053i 1.00357 0.586896i
\(708\) −4.98727 17.3790i −0.187433 0.653141i
\(709\) 22.9129 13.2288i 0.860513 0.496817i −0.00367133 0.999993i \(-0.501169\pi\)
0.864184 + 0.503176i \(0.167835\pi\)
\(710\) −0.249328 0.143950i −0.00935711 0.00540233i
\(711\) 1.06993 + 30.2758i 0.0401256 + 1.13543i
\(712\) 14.7044 8.48960i 0.551072 0.318161i
\(713\) 1.19307i 0.0446809i
\(714\) −7.22223 + 7.56595i −0.270285 + 0.283149i
\(715\) −0.0223607 0.460157i −0.000836244 0.0172089i
\(716\) 15.1632 8.75448i 0.566676 0.327170i
\(717\) −6.37453 + 25.5897i −0.238061 + 0.955663i
\(718\) 15.5010 26.8486i 0.578494 1.00198i
\(719\) 6.33059 + 10.9649i 0.236091 + 0.408922i 0.959589 0.281405i \(-0.0908003\pi\)
−0.723498 + 0.690326i \(0.757467\pi\)
\(720\) 0.168352 + 0.269170i 0.00627413 + 0.0100314i
\(721\) −3.05236 + 0.0170223i −0.113676 + 0.000633945i
\(722\) −5.69638 −0.211997
\(723\) 20.4032 + 19.6949i 0.758802 + 0.732460i
\(724\) 11.5944 + 6.69403i 0.430903 + 0.248782i
\(725\) −30.4077 17.5559i −1.12931 0.652008i
\(726\) 11.8913 + 11.4785i 0.441329 + 0.426008i
\(727\) 18.4770i 0.685274i 0.939468 + 0.342637i \(0.111320\pi\)
−0.939468 + 0.342637i \(0.888680\pi\)
\(728\) 8.50732 + 4.31572i 0.315302 + 0.159951i
\(729\) −2.85596 26.8485i −0.105776 0.994390i
\(730\) −0.682342 + 0.393950i −0.0252546 + 0.0145808i
\(731\) −5.59702 + 9.69432i −0.207013 + 0.358557i
\(732\) 16.8324 + 4.19304i 0.622142 + 0.154979i
\(733\) 1.52428 + 2.64013i 0.0563005 + 0.0975153i 0.892802 0.450449i \(-0.148736\pi\)
−0.836502 + 0.547965i \(0.815403\pi\)
\(734\) 17.0457i 0.629168i
\(735\) −0.880763 + 0.933044i −0.0324874 + 0.0344159i
\(736\) 0.976796i 0.0360052i
\(737\) −6.82561 + 3.94077i −0.251425 + 0.145160i
\(738\) −1.25223 + 0.0442532i −0.0460951 + 0.00162898i
\(739\) 29.4714 + 17.0153i 1.08412 + 0.625919i 0.932006 0.362443i \(-0.118057\pi\)
0.152118 + 0.988362i \(0.451391\pi\)
\(740\) −0.122915 0.212896i −0.00451846 0.00782620i
\(741\) −21.5636 + 7.33834i −0.792159 + 0.269581i
\(742\) 2.68392 4.70915i 0.0985300 0.172878i
\(743\) 51.3542 1.88400 0.942002 0.335607i \(-0.108941\pi\)
0.942002 + 0.335607i \(0.108941\pi\)
\(744\) −1.52211 1.46927i −0.0558031 0.0538659i
\(745\) 1.08612 + 0.627072i 0.0397924 + 0.0229741i
\(746\) −10.9216 + 18.9168i −0.399869 + 0.692594i
\(747\) −16.4351 + 30.9412i −0.601331 + 1.13208i
\(748\) −2.75585 −0.100764
\(749\) −32.1883 + 0.179507i −1.17613 + 0.00655903i
\(750\) 0.505041 + 1.75990i 0.0184415 + 0.0642624i
\(751\) −3.22181 5.58034i −0.117566 0.203630i 0.801237 0.598347i \(-0.204176\pi\)
−0.918802 + 0.394718i \(0.870842\pi\)
\(752\) −1.47958 0.854236i −0.0539547 0.0311508i
\(753\) 2.38153 9.56030i 0.0867876 0.348397i
\(754\) 21.3348 13.7398i 0.776966 0.500376i
\(755\) −1.91993 −0.0698735
\(756\) −2.77483 + 13.4648i −0.100920 + 0.489709i
\(757\) −33.0813 −1.20236 −0.601180 0.799114i \(-0.705302\pi\)
−0.601180 + 0.799114i \(0.705302\pi\)
\(758\) −25.6019 + 14.7812i −0.929902 + 0.536879i
\(759\) −1.98217 0.493769i −0.0719480 0.0179227i
\(760\) 0.334282 + 0.192998i 0.0121257 + 0.00700077i
\(761\) −2.67214 + 1.54276i −0.0968650 + 0.0559250i −0.547650 0.836708i \(-0.684477\pi\)
0.450785 + 0.892633i \(0.351144\pi\)
\(762\) 22.9554 6.58756i 0.831587 0.238642i
\(763\) −9.62391 16.4565i −0.348409 0.595764i
\(764\) 14.8904i 0.538717i
\(765\) 0.339934 0.639968i 0.0122903 0.0231381i
\(766\) 13.3338 + 7.69829i 0.481771 + 0.278151i
\(767\) 33.4699 + 17.2145i 1.20853 + 0.621578i
\(768\) −1.24618 1.20292i −0.0449678 0.0434067i
\(769\) 44.6644 1.61064 0.805320 0.592840i \(-0.201993\pi\)
0.805320 + 0.592840i \(0.201993\pi\)
\(770\) −0.338056 + 0.00188526i −0.0121827 + 6.79401e-5i
\(771\) −24.6298 + 7.06805i −0.887020 + 0.254550i
\(772\) −11.3018 + 6.52508i −0.406759 + 0.234843i
\(773\) 44.2470 + 25.5460i 1.59145 + 0.918826i 0.993058 + 0.117626i \(0.0375283\pi\)
0.598396 + 0.801201i \(0.295805\pi\)
\(774\) 0.519626 + 14.7038i 0.0186776