Properties

Label 546.2.bg.b.467.8
Level $546$
Weight $2$
Character 546.467
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 467.8
Character \(\chi\) \(=\) 546.467
Dual form 546.2.bg.b.311.8

$q$-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} +(-1.64910 + 3.20632i) 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} +(1.80188 + 5.97940i) 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} +(1.95221 + 3.03132i) 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} +(0.339316 + 0.174519i) 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} +(6.07925 + 1.42923i) 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} +(8.04879 - 5.12025i) 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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(-1\)

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 \(-0.340866\pi\)
−0.520353 + 0.853951i \(0.674200\pi\)
\(6\) −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 \(-0.224931\pi\)
−0.942569 + 0.334012i \(0.891597\pi\)
\(12\) −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 0.693794 0.720174i \(-0.255938\pi\)
−0.970586 + 0.240756i \(0.922605\pi\)
\(18\) −0.105953 + 2.99813i −0.0249733 + 0.706666i
\(19\) −1.82371 + 3.15875i −0.418387 + 0.724667i −0.995777 0.0918008i \(-0.970738\pi\)
0.577390 + 0.816468i \(0.304071\pi\)
\(20\) 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 0.409206 0.912442i \(-0.365806\pi\)
−0.585595 + 0.810604i \(0.699139\pi\)
\(24\) 0.418670 + 1.68069i 0.0854606 + 0.343069i
\(25\) −2.49440 4.32043i −0.498880 0.864086i
\(26\) −1.64910 + 3.20632i −0.323414 + 0.628811i
\(27\) 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 \(-0.773312\pi\)
0.756951 0.653472i \(-0.226688\pi\)
\(30\) 0.127302 + 0.131880i 0.0232421 + 0.0240780i
\(31\) 0.610707 + 1.05778i 0.109686 + 0.189982i 0.915643 0.401992i \(-0.131682\pi\)
−0.805957 + 0.591974i \(0.798349\pi\)
\(32\) 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 \(-0.272178\pi\)
−0.325438 + 0.945564i \(0.605512\pi\)
\(38\) 1.82371 + 3.15875i 0.295844 + 0.512417i
\(39\) 1.80188 + 5.97940i 0.288531 + 0.957470i
\(40\) 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 \(-0.373099\pi\)
−0.604013 + 0.796975i \(0.706432\pi\)
\(48\) 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
\(52\) 1.95221 + 3.03132i 0.270722 + 0.420368i
\(53\) 1.77421 1.02434i 0.243706 0.140704i −0.373173 0.927762i \(-0.621730\pi\)
0.616879 + 0.787058i \(0.288397\pi\)
\(54\) 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 \(-0.904471\pi\)
−0.221631 + 0.975131i \(0.571138\pi\)
\(60\) 0.177863 0.0443067i 0.0229620 0.00571997i
\(61\) −8.67338 5.00758i −1.11051 0.641154i −0.171550 0.985175i \(-0.554878\pi\)
−0.938962 + 0.344021i \(0.888211\pi\)
\(62\) 1.22141 0.155120
\(63\) 4.24638 6.70584i 0.534994 0.844856i
\(64\) 1.00000 0.125000
\(65\) 0.339316 + 0.174519i 0.0420870 + 0.0216465i
\(66\) 0.505498 + 2.02925i 0.0622226 + 0.249784i
\(67\) 5.65318 3.26387i 0.690646 0.398745i −0.113208 0.993571i \(-0.536113\pi\)
0.803854 + 0.594827i \(0.202779\pi\)
\(68\) −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 \(-0.551610\pi\)
−0.161430 + 0.986884i \(0.551610\pi\)
\(72\) 2.64943 1.40731i 0.312239 0.165853i
\(73\) −3.72258 6.44769i −0.435695 0.754645i 0.561658 0.827370i \(-0.310164\pi\)
−0.997352 + 0.0727248i \(0.976831\pi\)
\(74\) 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
\(78\) 6.07925 + 1.42923i 0.688340 + 0.161828i
\(79\) −5.04911 + 8.74532i −0.568069 + 0.983925i 0.428687 + 0.903453i \(0.358976\pi\)
−0.996757 + 0.0804722i \(0.974357\pi\)
\(80\) 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 −0.997385 0.0722705i \(-0.976976\pi\)
−0.561281 0.827626i \(-0.689691\pi\)
\(90\) 0.168352 0.269170i 0.0177459 0.0283730i
\(91\) 8.04879 5.12025i 0.843743 0.536748i
\(92\) 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 \(-0.351623\pi\)
0.449441 + 0.893310i \(0.351623\pi\)
\(98\) −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 0.995327 + 0.0965644i \(0.0307854\pi\)
−0.414036 + 0.910260i \(0.635881\pi\)
\(102\) 0.955606 + 3.83614i 0.0946191 + 0.379835i
\(103\) −0.999136 0.576851i −0.0984478 0.0568388i 0.449968 0.893045i \(-0.351435\pi\)
−0.548416 + 0.836206i \(0.684769\pi\)
\(104\) 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 −0.104886 0.994484i \(-0.533448\pi\)
−0.913692 + 0.406408i \(0.866781\pi\)
\(108\) 1.60880 4.94083i 0.154807 0.475431i
\(109\) 6.24015 3.60275i 0.597698 0.345081i −0.170437 0.985368i \(-0.554518\pi\)
0.768135 + 0.640287i \(0.221185\pi\)
\(110\) 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 \(-0.784540\pi\)
0.779526 0.626370i \(-0.215460\pi\)
\(114\) 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
\(117\) 9.29512 5.53179i 0.859334 0.511414i
\(118\) 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
\(130\) 0.320796 0.206597i 0.0281357 0.0181197i
\(131\) −6.41784 + 11.1160i −0.560729 + 0.971212i 0.436704 + 0.899605i \(0.356146\pi\)
−0.997433 + 0.0716063i \(0.977187\pi\)
\(132\) 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 \(-0.246718\pi\)
−0.963206 + 0.268763i \(0.913385\pi\)
\(138\) 1.17501 + 1.21727i 0.100024 + 0.103621i
\(139\) 18.0901i 1.53438i 0.641420 + 0.767190i \(0.278346\pi\)
−0.641420 + 0.767190i \(0.721654\pi\)
\(140\) −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
\(143\) 2.35708 + 3.65999i 0.197109 + 0.306064i
\(144\) 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 \(-0.994670\pi\)
0.514430 + 0.857532i \(0.328003\pi\)
\(150\) 2.08866 + 8.38462i 0.170538 + 0.684602i
\(151\) 15.7115 9.07106i 1.27859 0.738192i 0.301998 0.953309i \(-0.402346\pi\)
0.976588 + 0.215116i \(0.0690131\pi\)
\(152\) 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
\(156\) 4.27738 4.55017i 0.342464 0.364305i
\(157\) −15.3218 + 8.84604i −1.22281 + 0.705991i −0.965516 0.260342i \(-0.916165\pi\)
−0.257295 + 0.966333i \(0.582831\pi\)
\(158\) 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 \(-0.403045\pi\)
−0.676210 + 0.736709i \(0.736379\pi\)
\(164\) 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 −0.554915 0.831907i \(-0.687249\pi\)
0.997910 + 0.0646174i \(0.0205827\pi\)
\(174\) −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 −0.944776 0.327718i \(-0.893720\pi\)
−0.188576 + 0.982059i \(0.560387\pi\)
\(180\) −0.148932 0.280382i −0.0111007 0.0208985i
\(181\) 13.3881i 0.995127i 0.867428 + 0.497564i \(0.165772\pi\)
−0.867428 + 0.497564i \(0.834228\pi\)
\(182\) −0.409865 9.53058i −0.0303812 0.706454i
\(183\) −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 0.887786 0.460257i \(-0.152243\pi\)
0.0452987 + 0.998973i \(0.485576\pi\)
\(192\) −0.418670 1.68069i −0.0302149 0.121293i
\(193\) −11.3018 + 6.52508i −0.813519 + 0.469685i −0.848176 0.529714i \(-0.822299\pi\)
0.0346576 + 0.999399i \(0.488966\pi\)
\(194\) 4.42648 7.66690i 0.317803 0.550451i
\(195\) 0.151252 0.643351i 0.0108313 0.0460713i
\(196\) −6.99956 0.0780724i −0.499969 0.00557660i
\(197\) 8.81199 0.627828 0.313914 0.949451i \(-0.398360\pi\)
0.313914 + 0.949451i \(0.398360\pi\)
\(198\) 3.19890 1.69917i 0.227336 0.120755i
\(199\) 13.8134 7.97517i 0.979206 0.565345i 0.0771758 0.997017i \(-0.475410\pi\)
0.902030 + 0.431673i \(0.142076\pi\)
\(200\) 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
\(208\) 1.64910 3.20632i 0.114344 0.222318i
\(209\) 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
\(221\) 4.45587 + 6.91893i 0.299735 + 0.465418i
\(222\) −2.79432 2.89481i −0.187542 0.194287i
\(223\) −19.4124 −1.29995 −0.649975 0.759955i \(-0.725221\pi\)
−0.649975 + 0.759955i \(0.725221\pi\)
\(224\) −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 \(-0.473258\pi\)
0.904928 + 0.425566i \(0.139925\pi\)
\(228\) −1.52706 6.13017i −0.101132 0.405980i
\(229\) −4.77500 + 8.27054i −0.315541 + 0.546533i −0.979552 0.201190i \(-0.935519\pi\)
0.664012 + 0.747722i \(0.268853\pi\)
\(230\) 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 0.778349 0.627832i \(-0.216057\pi\)
−0.154543 + 0.987986i \(0.549391\pi\)
\(234\) −0.143107 10.8157i −0.00935519 0.707045i
\(235\) 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 \(-0.663893\pi\)
−0.492434 + 0.870350i \(0.663893\pi\)
\(240\) −0.127302 0.131880i −0.00821732 0.00851284i
\(241\) −8.18626 14.1790i −0.527323 0.913351i −0.999493 0.0318429i \(-0.989862\pi\)
0.472170 0.881508i \(-0.343471\pi\)
\(242\) −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
\(247\) 6.01493 11.6948i 0.382721 0.744120i
\(248\) −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 −0.537621 0.843187i \(-0.680677\pi\)
0.999032 + 0.0439995i \(0.0140100\pi\)
\(258\) −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 −0.971882 0.235468i \(-0.924338\pi\)
−0.282020 + 0.959409i \(0.591004\pi\)
\(264\) 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 0.997551 + 0.0699465i \(0.0222829\pi\)
−0.438200 + 0.898878i \(0.644384\pi\)
\(270\) −0.522875 0.170255i −0.0318211 0.0103614i
\(271\) −11.0400 + 19.1219i −0.670634 + 1.16157i 0.307091 + 0.951680i \(0.400644\pi\)
−0.977725 + 0.209891i \(0.932689\pi\)
\(272\) 2.28248 0.138396
\(273\) −11.9753 11.3838i −0.724780 0.688981i
\(274\) −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 0.830561 0.556928i \(-0.188020\pi\)
−0.897594 + 0.440822i \(0.854687\pi\)
\(278\) 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 \(-0.252916\pi\)
0.700600 + 0.713554i \(0.252916\pi\)
\(282\) 2.05516 + 2.12907i 0.122383 + 0.126784i
\(283\) −4.21753 + 2.43499i −0.250706 + 0.144745i −0.620088 0.784533i \(-0.712903\pi\)
0.369381 + 0.929278i \(0.379570\pi\)
\(284\) 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
\(299\) 3.13192 + 1.61083i 0.181124 + 0.0931568i
\(300\) 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 \(-0.532635\pi\)
−0.102347 + 0.994749i \(0.532635\pi\)
\(308\) 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 0.894493 + 0.447082i \(0.147537\pi\)
−0.0600623 + 0.998195i \(0.519130\pi\)
\(312\) −1.80188 5.97940i −0.102011 0.338517i
\(313\) −12.7524 7.36260i −0.720809 0.416159i 0.0942416 0.995549i \(-0.469957\pi\)
−0.815050 + 0.579390i \(0.803291\pi\)
\(314\) 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 −0.194227 0.980957i \(-0.562220\pi\)
0.946647 0.322272i \(-0.104447\pi\)
\(318\) −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
\(325\) 9.73917 + 15.1226i 0.540232 + 0.838853i
\(326\) −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 \(-0.348783\pi\)
−0.541428 + 0.840747i \(0.682116\pi\)
\(332\) −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 \(0.683306\pi\)
\(338\) 5.37778 11.8355i 0.292513 0.643767i
\(339\) −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 −0.637969 0.770062i \(-0.720225\pi\)
0.347909 + 0.937528i \(0.386892\pi\)
\(348\) 8.46631 + 8.77079i 0.453842 + 0.470163i
\(349\) −5.19865 −0.278278 −0.139139 0.990273i \(-0.544433\pi\)
−0.139139 + 0.990273i \(0.544433\pi\)
\(350\) 11.4674 6.53571i 0.612959 0.349349i
\(351\) −13.1888 13.3062i −0.703966 0.710234i
\(352\) 0.603696 1.04563i 0.0321771 0.0557324i
\(353\) 21.5387 12.4354i 1.14639 0.661869i 0.198386 0.980124i \(-0.436430\pi\)
0.948005 + 0.318255i \(0.103097\pi\)
\(354\) 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 0.0889571 + 0.996035i \(0.471647\pi\)
−0.907071 + 0.420979i \(0.861687\pi\)
\(360\) −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
\(364\) −8.45866 4.41034i −0.443354 0.231165i
\(365\) 0.787901i 0.0412406i
\(366\) 12.0475 + 12.4807i 0.629731 + 0.652378i
\(367\) 14.7620 8.52284i 0.770570 0.444889i −0.0625080 0.998044i \(-0.519910\pi\)
0.833078 + 0.553156i \(0.186577\pi\)
\(368\) 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 0.431502 + 0.902112i \(0.357984\pi\)
−0.997003 + 0.0773640i \(0.975350\pi\)
\(374\) 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 \(-0.204644\pi\)
−0.119028 + 0.992891i \(0.537978\pi\)
\(384\) −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 −0.728136 0.685433i \(-0.759613\pi\)
0.229534 + 0.973301i \(0.426280\pi\)
\(390\) −0.481533 0.452663i −0.0243834 0.0229215i
\(391\) 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 −0.353404 0.935471i \(-0.614976\pi\)
0.986843 0.161679i \(-0.0516909\pi\)
\(398\) 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 0.00665018 + 0.999978i \(0.497883\pi\)
−0.869331 + 0.494230i \(0.835450\pi\)
\(402\) −10.9711 + 2.73296i −0.547188 + 0.136308i
\(403\) −2.38445 3.70249i −0.118778 0.184434i
\(404\) 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 \(-0.0879360\pi\)
−0.717257 + 0.696809i \(0.754603\pi\)
\(410\) −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
\(416\) −1.95221 3.03132i −0.0957148 0.148623i
\(417\) 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
\(429\) 5.16447 5.49384i 0.249343 0.265245i
\(430\) −0.449477 + 0.259506i −0.0216757 + 0.0125145i
\(431\) −11.0130 19.0751i −0.530478 0.918816i −0.999368 0.0355586i \(-0.988679\pi\)
0.468889 0.883257i \(-0.344654\pi\)
\(432\) −5.08328 + 1.07715i −0.244569 + 0.0518245i
\(433\) 35.6522i 1.71334i −0.515868 0.856668i \(-0.672530\pi\)
0.515868 0.856668i \(-0.327470\pi\)
\(434\) −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 0.270887 0.962611i \(-0.412683\pi\)
−0.698202 + 0.715901i \(0.746016\pi\)
\(440\) 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 −0.990039 0.140795i \(-0.955034\pi\)
−0.616952 0.787001i \(-0.711633\pi\)
\(444\) −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 \(-0.389437\pi\)
0.340400 + 0.940281i \(0.389437\pi\)
\(450\) 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
\(455\) −1.00860 + 0.0433750i −0.0472837 + 0.00203345i
\(456\) −6.07241 1.74261i −0.284367 0.0816052i
\(457\) 35.3848 + 20.4294i 1.65523 + 0.955647i 0.974872 + 0.222766i \(0.0715085\pi\)
0.680357 + 0.732881i \(0.261825\pi\)
\(458\) 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 −0.632613 0.774468i \(-0.718017\pi\)
0.987016 + 0.160624i \(0.0513508\pi\)
\(468\) −9.43823 5.28392i −0.436282 0.244249i
\(469\) −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 0.726078 0.687612i \(-0.241341\pi\)
0.958529 0.284996i \(-0.0919922\pi\)
\(480\) −0.177863 + 0.0443067i −0.00811829 + 0.00202231i
\(481\) −7.44809 3.83075i −0.339604 0.174667i
\(482\) −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 \(-0.630857\pi\)
0.594061 + 0.804420i \(0.297524\pi\)
\(488\) 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 \(-0.693775\pi\)
0.571853 0.820356i \(-0.306225\pi\)
\(492\) −0.502424 0.520493i −0.0226510 0.0234656i
\(493\) −13.9121 + 8.03218i −0.626572 + 0.361751i
\(494\) −7.12050 11.0565i −0.320366 0.497454i
\(495\) −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 \(-0.534367\pi\)
−0.914861 + 0.403769i \(0.867700\pi\)
\(500\) 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
\(507\) −7.53550 21.2183i −0.334663 0.942338i
\(508\) −6.89412 11.9410i −0.305877 0.529795i
\(509\) −34.0447 19.6557i −1.50901 0.871225i −0.999945 0.0104951i \(-0.996659\pi\)
−0.509061 0.860730i \(-0.670007\pi\)
\(510\) 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
\(520\) −0.339316 0.174519i −0.0148800 0.00765318i
\(521\) −8.81970 15.2762i −0.386398 0.669261i 0.605564 0.795797i \(-0.292948\pi\)
−0.991962 + 0.126535i \(0.959614\pi\)
\(522\) 21.1012 + 0.745706i 0.923573 + 0.0326387i
\(523\) 17.8468 + 10.3039i 0.780387 + 0.450557i 0.836567 0.547864i \(-0.184559\pi\)
−0.0561804 + 0.998421i \(0.517892\pi\)
\(524\) 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 \(-0.193766\pi\)
−0.0850330 + 0.996378i \(0.527100\pi\)
\(542\) 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
\(546\) −15.8463 + 4.67902i −0.678161 + 0.200244i
\(547\) −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 \(-0.233052\pi\)
−0.950783 + 0.309856i \(0.899719\pi\)
\(558\) −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 0.857065 0.515208i \(-0.172285\pi\)
−0.874716 + 0.484637i \(0.838952\pi\)
\(564\) 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 −0.0696956 0.997568i \(-0.522203\pi\)
−0.898767 + 0.438426i \(0.855536\pi\)
\(570\) −0.648739 + 0.161605i −0.0271727 + 0.00676888i
\(571\) 11.7217 + 20.3025i 0.490536 + 0.849633i 0.999941 0.0108941i \(-0.00346775\pi\)
−0.509405 + 0.860527i \(0.670134\pi\)
\(572\) 1.99111 3.87129i 0.0832523 0.161867i
\(573\) 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 \(-0.136294\pi\)
−0.814449 + 0.580235i \(0.802961\pi\)
\(578\) −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
\(585\) −1.14460 + 0.0151446i −0.0473233 + 0.000626153i
\(586\) 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 \(-0.526012\pi\)
−0.903950 + 0.427639i \(0.859346\pi\)
\(594\) −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
\(598\) 2.96098 1.90691i 0.121084 0.0779792i
\(599\) 10.8738 6.27799i 0.444291 0.256512i −0.261125 0.965305i \(-0.584093\pi\)
0.705416 + 0.708793i \(0.250760\pi\)
\(600\) 6.21697 6.00114i 0.253807 0.244996i
\(601\) 10.7277i 0.437594i −0.975770 0.218797i \(-0.929787\pi\)
0.975770 0.218797i \(-0.0702132\pi\)
\(602\) −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 0.936057 0.351849i \(-0.114447\pi\)
0.163318 + 0.986574i \(0.447780\pi\)
\(608\) −3.64741 −0.147922
\(609\) 23.3299 22.2700i 0.945374 0.902425i
\(610\) 1.05988 0.0429132
\(611\) 5.47790 + 2.81743i 0.221612 + 0.113981i
\(612\) 0.241835 6.84317i 0.00977560 0.276619i
\(613\) 10.8577 6.26872i 0.438540 0.253191i −0.264438 0.964403i \(-0.585187\pi\)
0.702978 + 0.711212i \(0.251853\pi\)
\(614\) −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 \(-0.449165\pi\)
0.159026 + 0.987274i \(0.449165\pi\)
\(618\) 1.38782 + 1.43773i 0.0558261 + 0.0578338i
\(619\) −5.53340 9.58414i −0.222406 0.385219i 0.733132 0.680086i \(-0.238058\pi\)
−0.955538 + 0.294868i \(0.904724\pi\)
\(620\) −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
\(624\) −6.07925 1.42923i −0.243365 0.0572150i
\(625\) −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
\(637\) −11.7933 + 22.3141i −0.467267 + 0.884116i
\(638\) 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 −0.397531 0.917589i \(-0.630133\pi\)
0.595890 + 0.803066i \(0.296800\pi\)
\(642\) 14.6350 + 15.1613i 0.577598 + 0.598371i
\(643\) 17.1073 0.674646 0.337323 0.941389i \(-0.390479\pi\)
0.337323 + 0.941389i \(0.390479\pi\)
\(644\) −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 0.966586 0.256342i \(-0.0825174\pi\)
−0.705292 + 0.708917i \(0.749184\pi\)
\(648\) −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 0.0484750 0.998824i \(-0.484564\pi\)
−0.840770 + 0.541393i \(0.817897\pi\)
\(654\) −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 \(0.00996400\pi\)
−0.999510 + 0.0312977i \(0.990036\pi\)
\(660\) −0.153704 0.159231i −0.00598291 0.00619807i
\(661\) −3.91663 6.78381i −0.152339 0.263860i 0.779748 0.626094i \(-0.215347\pi\)
−0.932087 + 0.362234i \(0.882014\pi\)
\(662\) −1.52884 + 0.882679i −0.0594202 + 0.0343063i
\(663\) 9.76303 10.3857i 0.379165 0.403347i
\(664\) 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
\(676\) −7.56096 10.5751i −0.290806 0.406733i
\(677\) −9.98440 + 17.2935i −0.383732 + 0.664643i −0.991592 0.129401i \(-0.958695\pi\)
0.607861 + 0.794044i \(0.292028\pi\)
\(678\) −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 0.929383 + 0.369118i \(0.120340\pi\)
−0.145026 + 0.989428i \(0.546327\pi\)
\(684\) −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
\(689\) −6.21019 + 3.99944i −0.236589 + 0.152366i
\(690\) −0.0432786 0.173736i −0.00164759 0.00661401i
\(691\) 3.60774 6.24879i 0.137245 0.237715i −0.789208 0.614126i \(-0.789509\pi\)
0.926453 + 0.376411i \(0.122842\pi\)
\(692\) −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 \(-0.874991\pi\)
0.923869 0.382709i \(-0.125009\pi\)
\(702\) −18.1179 + 4.76872i −0.683817 + 0.179984i
\(703\) −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 \(-0.498831\pi\)
−0.864184 + 0.503176i \(0.832165\pi\)
\(710\) 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 −0.723498 0.690326i \(-0.757467\pi\)
0.959589 + 0.281405i \(0.0908003\pi\)
\(720\) −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 \(-0.888680\pi\)
0.939468 0.342637i \(-0.111320\pi\)
\(728\) −8.04879 + 5.12025i −0.298308 + 0.189769i
\(729\) −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 \(-0.851264\pi\)
0.836502 + 0.547965i \(0.184597\pi\)
\(734\) 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 \(-0.881943\pi\)
−0.152118 + 0.988362i \(0.548609\pi\)
\(740\) −0.122915 + 0.212896i −0.00451846 + 0.00782620i
\(741\) −22.1735 5.21299i −0.814565 0.191504i
\(742\) 2.68392 + 4.70915i 0.0985300 + 0.172878i
\(743\) −51.3542 −1.88400 −0.942002 0.335607i \(-0.891059\pi\)
−0.942002 + 0.335607i \(0.891059\pi\)
\(744\) −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 −0.918802 0.394718i \(-0.870842\pi\)
0.801237 + 0.598347i \(0.204176\pi\)
\(752\) 1.47958 0.854236i 0.0539547 0.0311508i
\(753\) 2.38153 + 9.56030i 0.0867876 + 0.348397i
\(754\) 22.5664 + 11.6065i 0.821821 + 0.422685i
\(755\) −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 \(-0.315523\pi\)
−0.450785 + 0.892633i \(0.648856\pi\)
\(762\) −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
\(767\) 31.6431 20.3785i 1.14257 0.735826i
\(768\) −1.24618 + 1.20292i −0.0449678 + 0.0434067i
\(769\) −44.6644 −1.61064 −0.805320 0.592840i \(-0.798007\pi\)
−0.805320 + 0.592840i \(0.798007\pi\)
\(770\) −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 −0.598396 + 0.801201i \(0.704195\pi\)
−0.993058 + 0.117626i \(0.962472\pi\)
\(774\) −0.519626 +