Properties

Label 546.2.bg.b.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.b.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} +(-1.64910 - 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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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 −0.520353 0.853951i \(-0.674200\pi\)
0.479367 + 0.877615i \(0.340866\pi\)
\(6\) −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 −0.942569 0.334012i \(-0.891597\pi\)
0.760547 + 0.649282i \(0.224931\pi\)
\(12\) −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 0.577390 0.816468i \(-0.304071\pi\)
−0.995777 + 0.0918008i \(0.970738\pi\)
\(20\) 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
\(26\) −1.64910 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 \(0.226688\pi\)
−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 −0.805957 0.591974i \(-0.798349\pi\)
0.915643 + 0.401992i \(0.131682\pi\)
\(32\) 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 −0.325438 0.945564i \(-0.605512\pi\)
0.656163 + 0.754619i \(0.272178\pi\)
\(38\) 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 \(-0.989617\pi\)
0.999468 0.0326145i \(-0.0103834\pi\)
\(42\) 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 −0.604013 0.796975i \(-0.706432\pi\)
0.388194 + 0.921578i \(0.373099\pi\)
\(48\) 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 0.616879 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 −0.221631 0.975131i \(-0.571138\pi\)
−0.955303 + 0.295628i \(0.904471\pi\)
\(60\) 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
\(65\) 0.339316 0.174519i 0.0420870 0.0216465i
\(66\) 0.505498 2.02925i 0.0622226 0.249784i
\(67\) 5.65318 + 3.26387i 0.690646 + 0.398745i 0.803854 0.594827i \(-0.202779\pi\)
−0.113208 + 0.993571i \(0.536113\pi\)
\(68\) −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 −0.997352 0.0727248i \(-0.976831\pi\)
0.561658 + 0.827370i \(0.310164\pi\)
\(74\) 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 −0.996757 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 \(0.221454\pi\)
−0.767593 + 0.640938i \(0.778546\pi\)
\(84\) 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 \(0.689691\pi\)
−0.997385 + 0.0722705i \(0.976976\pi\)
\(90\) 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 −0.414036 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 0.768135 0.640287i \(-0.221185\pi\)
−0.170437 + 0.985368i \(0.554518\pi\)
\(110\) 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
\(117\) 9.29512 + 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 −0.997433 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 −0.963206 0.268763i \(-0.913385\pi\)
0.714359 + 0.699780i \(0.246718\pi\)
\(138\) 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
\(143\) 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 0.514430 0.857532i \(-0.328003\pi\)
−0.999860 + 0.0167437i \(0.994670\pi\)
\(150\) 2.08866 8.38462i 0.170538 0.684602i
\(151\) 15.7115 + 9.07106i 1.27859 + 0.738192i 0.976588 0.215116i \(-0.0690131\pi\)
0.301998 + 0.953309i \(0.402346\pi\)
\(152\) 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 −0.257295 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 −0.676210 0.736709i \(-0.736379\pi\)
0.299904 + 0.953970i \(0.403045\pi\)
\(164\) 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 \(0.115981\pi\)
−0.934350 + 0.356356i \(0.884019\pi\)
\(168\) −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 \(-0.165772\pi\)
\(182\) −0.409865 + 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 0.0452987 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 0.0346576 0.999399i \(-0.488966\pi\)
−0.848176 + 0.529714i \(0.822299\pi\)
\(194\) 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 0.902030 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
\(208\) 1.64910 + 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 0.904928 0.425566i \(-0.139925\pi\)
0.0839133 + 0.996473i \(0.473258\pi\)
\(228\) −1.52706 + 6.13017i −0.101132 + 0.405980i
\(229\) −4.77500 8.27054i −0.315541 0.546533i 0.664012 0.747722i \(-0.268853\pi\)
−0.979552 + 0.201190i \(0.935519\pi\)
\(230\) 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 \(0.216057\pi\)
\(234\) −0.143107 + 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 0.472170 + 0.881508i \(0.343471\pi\)
−0.999493 + 0.0318429i \(0.989862\pi\)
\(242\) −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 0.999032 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 \(-0.932689\pi\)
0.307091 0.951680i \(-0.400644\pi\)
\(272\) 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 −0.897594 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 \(-0.252916\pi\)
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 0.369381 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 \(-0.962992\pi\)
0.993249 0.116002i \(-0.0370078\pi\)
\(294\) −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 −0.0600623 0.998195i \(-0.519130\pi\)
0.894493 0.447082i \(-0.147537\pi\)
\(312\) −1.80188 + 5.97940i −0.102011 + 0.338517i
\(313\) −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 \(0.104447\pi\)
−0.194227 + 0.980957i \(0.562220\pi\)
\(318\) −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 −0.541428 0.840747i \(-0.682116\pi\)
0.457395 + 0.889264i \(0.348783\pi\)
\(332\) −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 0.347909 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 \(-0.544433\pi\)
−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 0.948005 0.318255i \(-0.103097\pi\)
0.198386 + 0.980124i \(0.436430\pi\)
\(354\) 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 \(-0.861687\pi\)
0.0889571 0.996035i \(-0.471647\pi\)
\(360\) −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 0.833078 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 \(0.274440\pi\)
−0.650786 + 0.759261i \(0.725560\pi\)
\(380\) −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 −0.119028 0.992891i \(-0.537978\pi\)
0.800355 + 0.599527i \(0.204644\pi\)
\(384\) −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 \(0.759613\pi\)
\(390\) −0.481533 + 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 0.986843 + 0.161679i \(0.0516909\pi\)
−0.353404 + 0.935471i \(0.614976\pi\)
\(398\) 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 \(-0.835450\pi\)
0.00665018 0.999978i \(-0.497883\pi\)
\(402\) −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 −0.717257 0.696809i \(-0.754603\pi\)
0.962083 + 0.272759i \(0.0879360\pi\)
\(410\) −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 \(0.0835440\pi\)
−0.965754 + 0.259458i \(0.916456\pi\)
\(422\) 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 0.468889 + 0.883257i \(0.344654\pi\)
−0.999368 + 0.0355586i \(0.988679\pi\)
\(432\) −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 \(-0.389437\pi\)
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 0.680357 0.732881i \(-0.261825\pi\)
0.974872 0.222766i \(-0.0715085\pi\)
\(458\) 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 \(-0.904474\pi\)
0.955305 0.295621i \(-0.0955265\pi\)
\(462\) −3.82043 + 4.00225i −0.177742 + 0.186202i
\(463\) 30.2556i 1.40610i 0.711141 + 0.703049i \(0.248179\pi\)
−0.711141 + 0.703049i \(0.751821\pi\)
\(464\) 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 \(0.718017\pi\)
\(468\) −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 0.958529 + 0.284996i \(0.0919922\pi\)
0.726078 + 0.687612i \(0.241341\pi\)
\(480\) −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 0.594061 0.804420i \(-0.297524\pi\)
−0.399617 + 0.916682i \(0.630857\pi\)
\(488\) 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
\(494\) −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 −0.914861 0.403769i \(-0.867700\pi\)
−0.107757 + 0.994177i \(0.534367\pi\)
\(500\) 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 −0.509061 + 0.860730i \(0.670007\pi\)
−0.999945 + 0.0104951i \(0.996659\pi\)
\(510\) 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 −0.991962 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 −0.0850330 0.996378i \(-0.527100\pi\)
0.820372 + 0.571830i \(0.193766\pi\)
\(542\) 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 −0.950783 0.309856i \(-0.899719\pi\)
0.743735 + 0.668475i \(0.233052\pi\)
\(558\) −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 \(0.00346775\pi\)
\(572\) 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 −0.814449 0.580235i \(-0.802961\pi\)
0.909723 + 0.415216i \(0.136294\pi\)
\(578\) −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 \(0.276448\pi\)
−0.645982 + 0.763352i \(0.723552\pi\)
\(588\) 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 −0.903950 0.427639i \(-0.859346\pi\)
−0.0816289 + 0.996663i \(0.526012\pi\)
\(594\) −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 0.705416 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
\(611\) 5.47790 2.81743i 0.221612 0.113981i
\(612\) 0.241835 + 6.84317i 0.00977560 + 0.276619i
\(613\) 10.8577 + 6.26872i 0.438540 + 0.253191i 0.702978 0.711212i \(-0.251853\pi\)
−0.264438 + 0.964403i \(0.585187\pi\)
\(614\) −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 −0.955538 0.294868i \(-0.904724\pi\)
0.733132 + 0.680086i \(0.238058\pi\)
\(620\) −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 \(-0.882015\pi\)
0.932089 0.362230i \(-0.117985\pi\)
\(632\) 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 0.595890 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 \(-0.390479\pi\)
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 −0.705292 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 −0.932087 0.362234i \(-0.882014\pi\)
0.779748 + 0.626094i \(0.215347\pi\)
\(662\) −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 0.607861 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 \(-0.546327\pi\)
0.929383 0.369118i \(-0.120340\pi\)
\(684\) −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 0.926453 0.376411i \(-0.122842\pi\)
−0.789208 + 0.614126i \(0.789509\pi\)
\(692\) −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 \(0.874991\pi\)
\(702\) −18.1179 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 −0.864184 0.503176i \(-0.832165\pi\)
0.00367133 + 0.999993i \(0.498831\pi\)
\(710\) 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 \(0.888680\pi\)
\(728\) −8.04879 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 0.836502 0.547965i \(-0.184597\pi\)
−0.892802 + 0.450449i \(0.851264\pi\)
\(734\) 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 −0.152118 0.988362i \(-0.548609\pi\)
−0.932006 + 0.362443i \(0.881943\pi\)
\(740\) −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 0.801237 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
\(754\) 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 −0.450785 0.892633i \(-0.648856\pi\)
0.547650 + 0.836708i \(0.315523\pi\)
\(762\) −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 −0.993058 0.117626i \(-0.962472\pi\)
−0.598396 0.801201i \(-0.704195\pi\)
\(774\) −0.519626 14.7038i −0.0186776