Properties

Label 546.2.bg.a.467.14
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 467.14
Character \(\chi\) \(=\) 546.467
Dual form 546.2.bg.a.311.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(1.24618 + 1.20292i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(0.0916492 + 0.0529137i) q^{5} +(-1.66485 + 0.477766i) q^{6} +(-2.29863 + 1.31008i) q^{7} +1.00000 q^{8} +(0.105953 + 2.99813i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(1.24618 + 1.20292i) 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} +(0.105953 + 2.99813i) q^{9} +(-0.0916492 + 0.0529137i) q^{10} +(0.603696 + 1.04563i) q^{11} +(0.418670 - 1.68069i) 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} +(-2.64943 - 1.40731i) q^{18} +(-1.82371 + 3.15875i) q^{19} -0.105827i q^{20} +(-4.44044 - 1.13248i) q^{21} -1.20739 q^{22} +(0.845930 + 0.488398i) q^{23} +(1.24618 + 1.20292i) 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} +(-0.177863 - 0.0443067i) q^{30} +(0.610707 + 1.05778i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-0.505498 + 2.02925i) 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} +(-4.69840 - 4.11401i) q^{39} +(0.0916492 + 0.0529137i) q^{40} -0.417669i q^{41} +(3.20097 - 3.27929i) q^{42} +4.90433 q^{43} +(0.603696 - 1.04563i) q^{44} +(-0.148932 + 0.280382i) 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} +(-0.955606 + 3.83614i) q^{51} +(1.95221 + 3.03132i) q^{52} +(-1.77421 + 1.02434i) q^{53} +(-1.60880 - 4.94083i) 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} +(0.127302 - 0.131880i) q^{60} +(-8.67338 - 5.00758i) q^{61} -1.22141 q^{62} +(-4.17133 - 6.75278i) q^{63} +1.00000 q^{64} +(-0.339316 - 0.174519i) q^{65} +(-1.50463 - 1.45240i) 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} +(0.105953 + 2.99813i) q^{72} +(-3.72258 - 6.44769i) q^{73} +(-2.01173 + 1.16147i) q^{74} +(2.08866 - 8.38462i) q^{75} +3.64741 q^{76} +(-2.75753 - 1.61263i) q^{77} +(5.91203 - 2.01193i) q^{78} +(-5.04911 + 8.74532i) q^{79} +(-0.0916492 + 0.0529137i) q^{80} +(-8.97755 + 0.635319i) q^{81} +(0.361712 + 0.208835i) q^{82} +11.6784i q^{83} +(1.23947 + 4.41177i) q^{84} +0.241549i q^{85} +(-2.45216 + 4.24727i) q^{86} +(-8.46631 + 8.77079i) 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} +(-0.511369 + 2.05282i) q^{93} +(-1.47958 + 0.854236i) q^{94} +(-0.334282 + 0.192998i) q^{95} +(0.418670 - 1.68069i) 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
\(3\) 1.24618 + 1.20292i 0.719485 + 0.694508i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.0916492 + 0.0529137i 0.0409868 + 0.0236637i 0.520353 0.853951i \(-0.325800\pi\)
−0.479367 + 0.877615i \(0.659134\pi\)
\(6\) −1.66485 + 0.477766i −0.679674 + 0.195047i
\(7\) −2.29863 + 1.31008i −0.868800 + 0.495163i
\(8\) 1.00000 0.353553
\(9\) 0.105953 + 2.99813i 0.0353175 + 0.999376i
\(10\) −0.0916492 + 0.0529137i −0.0289820 + 0.0167328i
\(11\) 0.603696 + 1.04563i 0.182021 + 0.315270i 0.942569 0.334012i \(-0.108403\pi\)
−0.760547 + 0.649282i \(0.775069\pi\)
\(12\) 0.418670 1.68069i 0.120859 0.485173i
\(13\) −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 \(-0.0773955\pi\)
−0.693794 + 0.720174i \(0.744062\pi\)
\(18\) −2.64943 1.40731i −0.624477 0.331705i
\(19\) −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
\(21\) −4.44044 1.13248i −0.968983 0.247127i
\(22\) −1.20739 −0.257417
\(23\) 0.845930 + 0.488398i 0.176389 + 0.101838i 0.585595 0.810604i \(-0.300861\pi\)
−0.409206 + 0.912442i \(0.634194\pi\)
\(24\) 1.24618 + 1.20292i 0.254376 + 0.245546i
\(25\) −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 \(0.773312\pi\)
\(30\) −0.177863 0.0443067i −0.0324732 0.00808926i
\(31\) 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
\(33\) −0.505498 + 2.02925i −0.0879960 + 0.353247i
\(34\) −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
\(39\) −4.69840 4.11401i −0.752346 0.658768i
\(40\) 0.0916492 + 0.0529137i 0.0144910 + 0.00836639i
\(41\) 0.417669i 0.0652290i −0.999468 0.0326145i \(-0.989617\pi\)
0.999468 0.0326145i \(-0.0103834\pi\)
\(42\) 3.20097 3.27929i 0.493921 0.506006i
\(43\) 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
\(45\) −0.148932 + 0.280382i −0.0222014 + 0.0417969i
\(46\) −0.845930 + 0.488398i −0.124726 + 0.0720104i
\(47\) 1.47958 + 0.854236i 0.215819 + 0.124603i 0.604013 0.796975i \(-0.293568\pi\)
−0.388194 + 0.921578i \(0.626901\pi\)
\(48\) −1.66485 + 0.477766i −0.240301 + 0.0689596i
\(49\) 3.56739 6.02276i 0.509628 0.860395i
\(50\) 4.98880 0.705523
\(51\) −0.955606 + 3.83614i −0.133812 + 0.537167i
\(52\) 1.95221 + 3.03132i 0.270722 + 0.420368i
\(53\) −1.77421 + 1.02434i −0.243706 + 0.140704i −0.616879 0.787058i \(-0.711603\pi\)
0.373173 + 0.927762i \(0.378270\pi\)
\(54\) −1.60880 4.94083i −0.218930 0.672361i
\(55\) 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 \(-0.428862\pi\)
0.955303 + 0.295628i \(0.0955287\pi\)
\(60\) 0.127302 0.131880i 0.0164346 0.0170257i
\(61\) −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
\(63\) −4.17133 6.75278i −0.525538 0.850770i
\(64\) 1.00000 0.125000
\(65\) −0.339316 0.174519i −0.0420870 0.0216465i
\(66\) −1.50463 1.45240i −0.185208 0.178778i
\(67\) 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 \(-0.448390\pi\)
0.161430 + 0.986884i \(0.448390\pi\)
\(72\) 0.105953 + 2.99813i 0.0124866 + 0.353333i
\(73\) −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
\(75\) 2.08866 8.38462i 0.241178 0.968173i
\(76\) 3.64741 0.418387
\(77\) −2.75753 1.61263i −0.314250 0.183777i
\(78\) 5.91203 2.01193i 0.669406 0.227806i
\(79\) −5.04911 + 8.74532i −0.568069 + 0.983925i 0.428687 + 0.903453i \(0.358976\pi\)
−0.996757 + 0.0804722i \(0.974357\pi\)
\(80\) −0.0916492 + 0.0529137i −0.0102467 + 0.00591593i
\(81\) −8.97755 + 0.635319i −0.997505 + 0.0705910i
\(82\) 0.361712 + 0.208835i 0.0399444 + 0.0230619i
\(83\) 11.6784i 1.28188i 0.767593 + 0.640938i \(0.221454\pi\)
−0.767593 + 0.640938i \(0.778546\pi\)
\(84\) 1.23947 + 4.41177i 0.135237 + 0.481364i
\(85\) 0.241549i 0.0261997i
\(86\) −2.45216 + 4.24727i −0.264424 + 0.457995i
\(87\) −8.46631 + 8.77079i −0.907683 + 0.940327i
\(88\) 0.603696 + 1.04563i 0.0643542 + 0.111465i
\(89\) 14.7044 + 8.48960i 1.55867 + 0.899896i 0.997385 + 0.0722705i \(0.0230245\pi\)
0.561281 + 0.827626i \(0.310309\pi\)
\(90\) −0.168352 0.269170i −0.0177459 0.0283730i
\(91\) 8.04879 5.12025i 0.843743 0.536748i
\(92\) 0.976796i 0.101838i
\(93\) −0.511369 + 2.05282i −0.0530264 + 0.212867i
\(94\) −1.47958 + 0.854236i −0.152607 + 0.0881077i
\(95\) −0.334282 + 0.192998i −0.0342966 + 0.0198012i
\(96\) 0.418670 1.68069i 0.0427303 0.171535i
\(97\) 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 \(-0.969215\pi\)
0.414036 0.910260i \(-0.364119\pi\)
\(102\) −2.84439 2.74565i −0.281637 0.271860i
\(103\) −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
\(105\) −0.347039 0.338750i −0.0338675 0.0330587i
\(106\) 2.04868i 0.198985i
\(107\) 10.5362 + 6.08311i 1.01858 + 0.588076i 0.913692 0.406408i \(-0.133219\pi\)
0.104886 + 0.994484i \(0.466552\pi\)
\(108\) 5.08328 + 1.07715i 0.489139 + 0.103649i
\(109\) 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 \(0.215460\pi\)
−0.779526 + 0.626370i \(0.784540\pi\)
\(114\) 1.52706 6.13017i 0.143022 0.574143i
\(115\) 0.0516859 + 0.0895226i 0.00481973 + 0.00834802i
\(116\) 6.09518 3.51906i 0.565924 0.326736i
\(117\) −0.906241 10.7786i −0.0837821 0.996484i
\(118\) 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
\(123\) 0.502424 0.520493i 0.0453020 0.0469313i
\(124\) 0.610707 1.05778i 0.0548431 0.0949910i
\(125\) 1.05709i 0.0945488i
\(126\) 7.93374 0.236084i 0.706794 0.0210320i
\(127\) 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
\(129\) 6.11170 + 5.89953i 0.538105 + 0.519424i
\(130\) 0.320796 0.206597i 0.0281357 0.0181197i
\(131\) 6.41784 11.1160i 0.560729 0.971212i −0.436704 0.899605i \(-0.643854\pi\)
0.997433 0.0716063i \(-0.0228125\pi\)
\(132\) 2.01013 0.576851i 0.174960 0.0502085i
\(133\) 0.0538159 9.65000i 0.00466643 0.836761i
\(134\) 6.52773i 0.563910i
\(135\) −0.522875 + 0.170255i −0.0450019 + 0.0146532i
\(136\) 1.14124 + 1.97669i 0.0978606 + 0.169500i
\(137\) 2.91269 + 5.04492i 0.248848 + 0.431017i 0.963206 0.268763i \(-0.0866148\pi\)
−0.714359 + 0.699780i \(0.753282\pi\)
\(138\) −1.64169 0.408955i −0.139750 0.0348125i
\(139\) 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
\(144\) −2.64943 1.40731i −0.220786 0.117276i
\(145\) −0.372412 + 0.645037i −0.0309272 + 0.0535674i
\(146\) 7.44515 0.616165
\(147\) 11.6906 3.21418i 0.964221 0.265101i
\(148\) 2.32294i 0.190945i
\(149\) 5.92542 10.2631i 0.485429 0.840788i −0.514430 0.857532i \(-0.671997\pi\)
0.999860 + 0.0167437i \(0.00532993\pi\)
\(150\) 6.21697 + 6.00114i 0.507613 + 0.489991i
\(151\) 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
\(156\) −1.21363 + 6.12594i −0.0971685 + 0.490467i
\(157\) −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
\(159\) −3.44319 0.857718i −0.273063 0.0680215i
\(160\) 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
\(165\) −0.153704 + 0.159231i −0.0119658 + 0.0123961i
\(166\) −10.1138 5.83922i −0.784985 0.453211i
\(167\) 9.21026i 0.712712i 0.934350 + 0.356356i \(0.115981\pi\)
−0.934350 + 0.356356i \(0.884019\pi\)
\(168\) −4.44044 1.13248i −0.342587 0.0873724i
\(169\) 12.9387 1.26046i 0.995288 0.0969584i
\(170\) −0.209188 0.120775i −0.0160440 0.00926298i
\(171\) −9.66357 5.13303i −0.738992 0.392532i
\(172\) −2.45216 4.24727i −0.186976 0.323851i
\(173\) −5.82669 + 10.0921i −0.442995 + 0.767289i −0.997910 0.0646174i \(-0.979417\pi\)
0.554915 + 0.831907i \(0.312751\pi\)
\(174\) −3.36257 11.7174i −0.254916 0.888296i
\(175\) 11.3938 + 6.66321i 0.861290 + 0.503691i
\(176\) −1.20739 −0.0910106
\(177\) 17.5443 + 4.37038i 1.31871 + 0.328498i
\(178\) −14.7044 + 8.48960i −1.10214 + 0.636323i
\(179\) 15.1632 8.75448i 1.13335 0.654341i 0.188576 0.982059i \(-0.439613\pi\)
0.944776 + 0.327718i \(0.106280\pi\)
\(180\) 0.317284 0.0112127i 0.0236490 0.000835744i
\(181\) 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
\(186\) −1.52211 1.46927i −0.111606 0.107732i
\(187\) −1.37793 + 2.38664i −0.100764 + 0.174528i
\(188\) 1.70847i 0.124603i
\(189\) 2.92483 13.4330i 0.212750 0.977107i
\(190\) 0.385996i 0.0280031i
\(191\) −12.8955 7.44521i −0.933084 0.538717i −0.0452987 0.998973i \(-0.514424\pi\)
−0.887786 + 0.460257i \(0.847757\pi\)
\(192\) 1.24618 + 1.20292i 0.0899356 + 0.0868135i
\(193\) −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
\(195\) −0.212917 0.625655i −0.0152473 0.0448041i
\(196\) −6.99956 0.0780724i −0.499969 0.00557660i
\(197\) −8.81199 −0.627828 −0.313914 0.949451i \(-0.601640\pi\)
−0.313914 + 0.949451i \(0.601640\pi\)
\(198\) −0.127926 3.61992i −0.00909133 0.257256i
\(199\) 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
\(201\) 10.9711 + 2.73296i 0.773841 + 0.192768i
\(202\) 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
\(207\) −1.37465 + 2.58796i −0.0955449 + 0.179875i
\(208\) 1.64910 3.20632i 0.114344 0.222318i
\(209\) −4.40386 −0.304621
\(210\) 0.466886 0.131169i 0.0322182 0.00905155i
\(211\) 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
\(213\) 3.39020 + 3.27250i 0.232292 + 0.224228i
\(214\) −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
\(219\) 3.11706 12.5130i 0.210631 0.845549i
\(220\) 0.110657 0.0638876i 0.00746046 0.00430730i
\(221\) −4.45587 6.91893i −0.299735 0.465418i
\(222\) −3.90414 0.972545i −0.262029 0.0652729i
\(223\) −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 \(-0.860075\pi\)
−0.0839133 + 0.996473i \(0.526742\pi\)
\(228\) 4.54535 + 4.38756i 0.301023 + 0.290573i
\(229\) −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
\(231\) −1.49652 5.32674i −0.0984640 0.350474i
\(232\) 7.03811i 0.462075i
\(233\) −9.52198 5.49752i −0.623806 0.360154i 0.154543 0.987986i \(-0.450609\pi\)
−0.778349 + 0.627832i \(0.783943\pi\)
\(234\) 9.78768 + 4.60448i 0.639841 + 0.301005i
\(235\) 0.0904015 + 0.156580i 0.00589714 + 0.0102142i
\(236\) −9.04020 5.21936i −0.588467 0.339752i
\(237\) −16.8121 + 4.82459i −1.09206 + 0.313391i
\(238\) 5.24658 2.99023i 0.340085 0.193828i
\(239\) 15.2257 0.984868 0.492434 0.870350i \(-0.336107\pi\)
0.492434 + 0.870350i \(0.336107\pi\)
\(240\) −0.177863 0.0443067i −0.0114810 0.00285998i
\(241\) −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
\(243\) −11.9519 10.0076i −0.766716 0.641986i
\(244\) 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
\(249\) −14.0483 + 14.5535i −0.890273 + 0.922290i
\(250\) 0.915465 + 0.528544i 0.0578991 + 0.0334281i
\(251\) 5.68832 0.359044 0.179522 0.983754i \(-0.442545\pi\)
0.179522 + 0.983754i \(0.442545\pi\)
\(252\) −3.76242 + 6.98886i −0.237010 + 0.440257i
\(253\) 1.17938i 0.0741468i
\(254\) −6.89412 + 11.9410i −0.432576 + 0.749243i
\(255\) −0.290565 + 0.301015i −0.0181959 + 0.0188503i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −7.39698 + 12.8119i −0.461411 + 0.799187i −0.999032 0.0439995i \(-0.985990\pi\)
0.537621 + 0.843187i \(0.319323\pi\)
\(258\) −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
\(261\) −21.1012 + 0.745706i −1.30613 + 0.0461581i
\(262\) 6.41784 + 11.1160i 0.396496 + 0.686750i
\(263\) 20.3349 11.7403i 1.25390 0.723940i 0.282020 0.959409i \(-0.408996\pi\)
0.971882 + 0.235468i \(0.0756624\pi\)
\(264\) −0.505498 + 2.02925i −0.0311113 + 0.124892i
\(265\) −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 \(-0.977717\pi\)
0.438200 0.898878i \(-0.355616\pi\)
\(270\) 0.113992 0.537950i 0.00693734 0.0327386i
\(271\) −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
\(273\) 16.1895 + 3.30131i 0.979836 + 0.199804i
\(274\) −5.82537 −0.351924
\(275\) 3.01172 5.21645i 0.181614 0.314564i
\(276\) 1.17501 1.21727i 0.0707273 0.0732710i
\(277\) −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 \(-0.747084\pi\)
−0.700600 + 0.713554i \(0.747084\pi\)
\(282\) −2.87141 0.715285i −0.170990 0.0425946i
\(283\) −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
\(285\) −0.648739 0.161605i −0.0384280 0.00957264i
\(286\) 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
\(291\) 11.0324 + 10.6494i 0.646733 + 0.624281i
\(292\) −3.72258 + 6.44769i −0.217847 + 0.377323i
\(293\) 3.97126i 0.232003i −0.993249 0.116002i \(-0.962992\pi\)
0.993249 0.116002i \(-0.0370078\pi\)
\(294\) −3.06172 + 11.7314i −0.178563 + 0.684189i
\(295\) 1.10470 0.0643183
\(296\) 2.01173 + 1.16147i 0.116929 + 0.0675091i
\(297\) −6.13752 1.30054i −0.356135 0.0754653i
\(298\) 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
\(303\) 4.89165 19.6368i 0.281018 1.12811i
\(304\) −1.82371 3.15875i −0.104597 0.181167i
\(305\) −0.529939 0.917880i −0.0303442 0.0525577i
\(306\) −0.241835 6.84317i −0.0138248 0.391198i
\(307\) −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 \(-0.852463\pi\)
0.0600623 0.998195i \(-0.480870\pi\)
\(312\) −4.69840 4.11401i −0.265994 0.232910i
\(313\) −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
\(315\) −0.0249841 0.839607i −0.00140770 0.0473065i
\(316\) 10.0982 0.568069
\(317\) −13.3964 + 23.2033i −0.752420 + 1.30323i 0.194227 + 0.980957i \(0.437780\pi\)
−0.946647 + 0.322272i \(0.895553\pi\)
\(318\) 2.46440 2.55303i 0.138197 0.143167i
\(319\) −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
\(324\) 5.03898 + 7.45713i 0.279943 + 0.414285i
\(325\) 9.73917 + 15.1226i 0.540232 + 0.838853i
\(326\) 4.80436 2.77380i 0.266089 0.153626i
\(327\) 12.1102 + 3.01673i 0.669696 + 0.166825i
\(328\) 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
\(333\) −3.26909 + 6.15447i −0.179145 + 0.337263i
\(334\) −7.97632 4.60513i −0.436445 0.251982i
\(335\) 0.690813 0.0377431
\(336\) 3.20097 3.27929i 0.174627 0.178900i
\(337\) −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
\(339\) −16.0191 + 16.5952i −0.870038 + 0.901328i
\(340\) 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
\(345\) −0.0432786 + 0.173736i −0.00233004 + 0.00935362i
\(346\) −5.82669 10.0921i −0.313245 0.542556i
\(347\) 5.40323 3.11955i 0.290060 0.167466i −0.347909 0.937528i \(-0.613108\pi\)
0.637969 + 0.770062i \(0.279775\pi\)
\(348\) 11.8289 + 2.94664i 0.634094 + 0.157957i
\(349\) −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
\(351\) 11.8365 14.5223i 0.631786 0.775143i
\(352\) 0.603696 1.04563i 0.0321771 0.0557324i
\(353\) −21.5387 + 12.4354i −1.14639 + 0.661869i −0.948005 0.318255i \(-0.896903\pi\)
−0.198386 + 0.980124i \(0.563570\pi\)
\(354\) −12.5570 + 13.0086i −0.667396 + 0.691398i
\(355\) 0.249328 + 0.143950i 0.0132330 + 0.00764005i
\(356\) 16.9792i 0.899896i
\(357\) −2.82906 10.0698i −0.149730 0.532950i
\(358\) 17.5090i 0.925378i
\(359\) 15.5010 26.8486i 0.818113 1.41701i −0.0889571 0.996035i \(-0.528353\pi\)
0.907071 0.420979i \(-0.138313\pi\)
\(360\) −0.148932 + 0.280382i −0.00784938 + 0.0147774i
\(361\) 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
\(366\) 16.8324 + 4.19304i 0.879841 + 0.219174i
\(367\) 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
\(369\) 1.25223 0.0442532i 0.0651883 0.00230373i
\(370\) −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
\(375\) 1.27160 1.31733i 0.0656649 0.0680265i
\(376\) 1.47958 + 0.854236i 0.0763035 + 0.0440538i
\(377\) −1.23167 25.3464i −0.0634344 1.30540i
\(378\) 10.1709 + 9.24948i 0.523135 + 0.475742i
\(379\) 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
\(381\) 17.1827 + 16.5862i 0.880297 + 0.849737i
\(382\) 12.8955 7.44521i 0.659790 0.380930i
\(383\) −13.3338 7.69829i −0.681327 0.393364i 0.119028 0.992891i \(-0.462022\pi\)
−0.800355 + 0.599527i \(0.795356\pi\)
\(384\) −1.66485 + 0.477766i −0.0849592 + 0.0243809i
\(385\) −0.167395 0.293708i −0.00853125 0.0149687i
\(386\) 13.0502i 0.664235i
\(387\) 0.519626 + 14.7038i 0.0264141 + 0.747436i
\(388\) −4.42648 7.66690i −0.224721 0.389228i
\(389\) 9.83397 5.67765i 0.498602 0.287868i −0.229534 0.973301i \(-0.573720\pi\)
0.728136 + 0.685433i \(0.240387\pi\)
\(390\) 0.648292 + 0.128436i 0.0328275 + 0.00650359i
\(391\) 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
\(396\) 3.19890 + 1.69917i 0.160751 + 0.0853866i
\(397\) 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
\(399\) 11.6753 11.9609i 0.584494 0.598796i
\(400\) 4.98880 0.249440
\(401\) 17.2752 29.9215i 0.862681 1.49421i −0.00665018 0.999978i \(-0.502117\pi\)
0.869331 0.494230i \(-0.164550\pi\)
\(402\) −7.85236 + 8.13476i −0.391640 + 0.405725i
\(403\) −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
\(408\) −0.955606 + 3.83614i −0.0473095 + 0.189917i
\(409\) 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
\(411\) −2.43891 + 9.79064i −0.120302 + 0.482937i
\(412\) 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
\(417\) −21.7610 + 22.5436i −1.06564 + 1.10396i
\(418\) 2.20193 3.81385i 0.107700 0.186542i
\(419\) 26.9663 1.31739 0.658694 0.752411i \(-0.271109\pi\)
0.658694 + 0.752411i \(0.271109\pi\)
\(420\) −0.119847 + 0.469920i −0.00584793 + 0.0229297i
\(421\) 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
\(423\) −2.40434 + 4.52648i −0.116903 + 0.220085i
\(424\) −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
\(429\) 1.46533 7.39641i 0.0707469 0.357102i
\(430\) −0.449477 + 0.259506i −0.0216757 + 0.0125145i
\(431\) 11.0130 + 19.0751i 0.530478 + 0.918816i 0.999368 + 0.0355586i \(0.0113211\pi\)
−0.468889 + 0.883257i \(0.655346\pi\)
\(432\) −1.60880 4.94083i −0.0774034 0.237716i
\(433\) 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
\(438\) 9.27803 + 8.95594i 0.443322 + 0.427932i
\(439\) −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
\(441\) 18.4350 + 10.0574i 0.877857 + 0.478923i
\(442\) 8.21991 0.399436i 0.390981 0.0189992i
\(443\) 33.8232 + 19.5279i 1.60699 + 0.927796i 0.990039 + 0.140795i \(0.0449660\pi\)
0.616952 + 0.787001i \(0.288367\pi\)
\(444\) 2.79432 2.89481i 0.132613 0.137382i
\(445\) 0.898432 + 1.55613i 0.0425898 + 0.0737676i
\(446\) 9.70620 16.8116i 0.459602 0.796054i
\(447\) 19.7299 5.66193i 0.933193 0.267800i
\(448\) −2.29863 + 1.31008i −0.108600 + 0.0618953i
\(449\) −14.4259 −0.680801 −0.340400 0.940281i \(-0.610563\pi\)
−0.340400 + 0.940281i \(0.610563\pi\)
\(450\) 0.528576 + 14.9571i 0.0249173 + 0.705083i
\(451\) 0.436729 0.252145i 0.0205647 0.0118731i
\(452\) 11.5327 6.65841i 0.542453 0.313185i
\(453\) 30.4913 + 7.59555i 1.43260 + 0.356870i
\(454\) 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
\(459\) −11.6025 2.45858i −0.541558 0.114757i
\(460\) 0.0516859 0.0895226i 0.00240987 0.00417401i
\(461\) 12.6945i 0.591242i −0.955305 0.295621i \(-0.904474\pi\)
0.955305 0.295621i \(-0.0955265\pi\)
\(462\) 5.36135 + 1.36734i 0.249433 + 0.0636146i
\(463\) 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
\(465\) −0.155489 + 0.161081i −0.00721061 + 0.00746993i
\(466\) 9.52198 5.49752i 0.441097 0.254668i
\(467\) −7.65871 + 13.2653i −0.354403 + 0.613844i −0.987016 0.160624i \(-0.948649\pi\)
0.632613 + 0.774468i \(0.281983\pi\)
\(468\) −8.88144 + 6.17414i −0.410545 + 0.285400i
\(469\) −8.71865 + 14.9085i −0.402590 + 0.688412i
\(470\) −0.180803 −0.00833982
\(471\) −29.7349 7.40713i −1.37011 0.341303i
\(472\) 9.04020 5.21936i 0.416109 0.240241i
\(473\) 2.96072 + 5.12812i 0.136134 + 0.235791i
\(474\) 4.22782 16.9720i 0.194190 0.779549i
\(475\) 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 \(0.758659\pi\)
−0.958529 + 0.284996i \(0.908008\pi\)
\(480\) 0.127302 0.131880i 0.00581052 0.00601949i
\(481\) −7.44809 3.83075i −0.339604 0.174667i
\(482\) 16.3725 0.745748
\(483\) −3.20320 3.12670i −0.145751 0.142270i
\(484\) −9.54220 −0.433737
\(485\) 0.811367 + 0.468443i 0.0368423 + 0.0212709i
\(486\) 14.6428 5.34688i 0.664210 0.242539i
\(487\) 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 \(0.306225\pi\)
−0.571853 + 0.820356i \(0.693775\pi\)
\(492\) −0.701972 0.174865i −0.0316474 0.00788354i
\(493\) −13.9121 + 8.03218i −0.626572 + 0.361751i
\(494\) 7.12050 + 11.0565i 0.320366 + 0.497454i
\(495\) −0.383086 + 0.0135381i −0.0172184 + 0.000608493i
\(496\) −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
\(501\) −11.0792 + 11.4777i −0.494984 + 0.512785i
\(502\) −2.84416 + 4.92623i −0.126941 + 0.219868i
\(503\) −33.8590 −1.50970 −0.754849 0.655898i \(-0.772290\pi\)
−0.754849 + 0.655898i \(0.772290\pi\)
\(504\) −4.17133 6.75278i −0.185806 0.300793i
\(505\) 1.23647i 0.0550220i
\(506\) −1.02137 0.589688i −0.0454054 0.0262148i
\(507\) 17.6403 + 13.9936i 0.783434 + 0.621476i
\(508\) −6.89412 11.9410i −0.305877 0.529795i
\(509\) 34.0447 + 19.6557i 1.50901 + 0.871225i 0.999945 + 0.0104951i \(0.00334074\pi\)
0.509061 + 0.860730i \(0.329993\pi\)
\(510\) −0.115404 0.402144i −0.00511017 0.0178072i
\(511\) 17.0038 + 9.94399i 0.752204 + 0.439896i
\(512\) 1.00000 0.0441942
\(513\) −5.86796 18.0212i −0.259077 0.795657i
\(514\) −7.39698 12.8119i −0.326267 0.565111i
\(515\) −0.0610466 0.105736i −0.00269004 0.00465928i
\(516\) 2.05329 8.24265i 0.0903911 0.362862i
\(517\) 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 \(-0.0403857\pi\)
−0.605564 + 0.795797i \(0.707052\pi\)
\(522\) 9.90478 18.6470i 0.433520 0.816157i
\(523\) 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
\(525\) 6.18345 + 22.0094i 0.269868 + 0.960571i
\(526\) 23.4807i 1.02381i
\(527\) −1.39393 + 2.41435i −0.0607204 + 0.105171i
\(528\) −1.50463 1.45240i −0.0654808 0.0632076i
\(529\) −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
\(534\) −28.5368 7.10868i −1.23491 0.307622i
\(535\) 0.643759 + 1.11502i 0.0278321 + 0.0482067i
\(536\) 5.65318 3.26387i 0.244180 0.140978i
\(537\) 29.4271 + 7.33047i 1.26987 + 0.316333i
\(538\) 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
\(543\) −16.1048 + 16.6840i −0.691124 + 0.715979i
\(544\) 1.14124 1.97669i 0.0489303 0.0847498i
\(545\) 0.762539 0.0326636
\(546\) −10.9538 + 12.3699i −0.468779 + 0.529383i
\(547\) −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
\(549\) 14.0944 26.5345i 0.601534 1.13246i
\(550\) 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
\(555\) −0.102922 + 0.413165i −0.00436879 + 0.0175379i
\(556\) 15.6665 9.04503i 0.664406 0.383595i
\(557\) 4.88652 + 8.46370i 0.207049 + 0.358619i 0.950783 0.309856i \(-0.100281\pi\)
−0.743735 + 0.668475i \(0.766948\pi\)
\(558\) −0.129412 3.66195i −0.00547844 0.155023i
\(559\) −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 \(-0.161048\pi\)
−0.857065 + 0.515208i \(0.827715\pi\)
\(564\) 2.05516 2.12907i 0.0865378 0.0896501i
\(565\) −0.704642 + 1.22048i −0.0296445 + 0.0513458i
\(566\) 4.86999i 0.204701i
\(567\) 19.8037 13.2216i 0.831679 0.555257i
\(568\) 2.72046 0.114148
\(569\) 23.1014 + 13.3376i 0.968463 + 0.559142i 0.898767 0.438426i \(-0.144464\pi\)
0.0696956 + 0.997568i \(0.477797\pi\)
\(570\) 0.464323 0.481022i 0.0194484 0.0201478i
\(571\) 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
\(576\) 0.105953 + 2.99813i 0.00441469 + 0.124922i
\(577\) 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
\(579\) −21.9332 5.46370i −0.911515 0.227064i
\(580\) 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
\(585\) 0.487280 1.03580i 0.0201466 0.0428252i
\(586\) 3.43921 + 1.98563i 0.142072 + 0.0820256i
\(587\) 36.9891i 1.52670i 0.645982 + 0.763352i \(0.276448\pi\)
−0.645982 + 0.763352i \(0.723552\pi\)
\(588\) −8.62884 8.51723i −0.355847 0.351245i
\(589\) −4.45500 −0.183565
\(590\) −0.552351 + 0.956700i −0.0227399 + 0.0393867i
\(591\) −10.9814 10.6001i −0.451713 0.436032i
\(592\) −2.01173 + 1.16147i −0.0826814 + 0.0477362i
\(593\) 24.0004 + 13.8566i 0.985579 + 0.569024i 0.903950 0.427639i \(-0.140654\pi\)
0.0816289 + 0.996663i \(0.473988\pi\)
\(594\) 4.19506 4.66497i 0.172125 0.191406i
\(595\) −0.316448 0.555232i −0.0129731 0.0227623i
\(596\) −11.8508 −0.485429
\(597\) 26.8076 + 6.67792i 1.09716 + 0.273309i
\(598\) 2.96098 1.90691i 0.121084 0.0779792i
\(599\) −10.8738 + 6.27799i −0.444291 + 0.256512i −0.705416 0.708793i \(-0.749240\pi\)
0.261125 + 0.965305i \(0.415907\pi\)
\(600\) 2.08866 8.38462i 0.0852691 0.342301i
\(601\) 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
\(606\) 14.5602 + 14.0547i 0.591466 + 0.570933i
\(607\) 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
\(609\) 7.97049 31.2523i 0.322981 1.26641i
\(610\) 1.05988 0.0429132
\(611\) −5.47790 2.81743i −0.221612 0.113981i
\(612\) 6.04728 + 3.21215i 0.244447 + 0.129844i
\(613\) 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 \(-0.550835\pi\)
−0.159026 + 0.987274i \(0.550835\pi\)
\(618\) 1.93902 + 0.483020i 0.0779986 + 0.0194299i
\(619\) −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
\(621\) −4.82618 + 1.57147i −0.193668 + 0.0630609i
\(622\) 29.4307 1.18006
\(623\) −44.9221 0.250520i −1.79976 0.0100369i
\(624\) 5.91203 2.01193i 0.236671 0.0805417i
\(625\) −12.4161 + 21.5053i −0.496643 + 0.860210i
\(626\) 12.7524 7.36260i 0.509689 0.294269i
\(627\) −5.48802 5.29750i −0.219170 0.211562i
\(628\) 15.3218 + 8.84604i 0.611406 + 0.352995i
\(629\) 5.30207i 0.211407i
\(630\) 0.739613 + 0.398167i 0.0294669 + 0.0158633i
\(631\) 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
\(633\) 20.2712 + 19.5675i 0.805707 + 0.777737i
\(634\) −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
\(639\) 0.288240 + 8.15629i 0.0114026 + 0.322658i
\(640\) −0.0916492 + 0.0529137i −0.00362275 + 0.00209160i
\(641\) −5.02205 + 2.89948i −0.198359 + 0.114523i −0.595890 0.803066i \(-0.703200\pi\)
0.397531 + 0.917589i \(0.369867\pi\)
\(642\) −20.4476 5.09362i −0.807003 0.201029i
\(643\) 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 \(-0.250816\pi\)
−0.966586 + 0.256342i \(0.917483\pi\)
\(648\) −8.97755 + 0.635319i −0.352671 + 0.0249577i
\(649\) 10.9151 + 6.30182i 0.428454 + 0.247368i
\(650\) −17.9662 + 0.873043i −0.704691 + 0.0342436i
\(651\) −1.51390 5.38860i −0.0593345 0.211196i
\(652\) 5.54760i 0.217261i
\(653\) 20.2462 + 11.6891i 0.792295 + 0.457432i 0.840770 0.541393i \(-0.182103\pi\)
−0.0484750 + 0.998824i \(0.515436\pi\)
\(654\) −8.66767 + 8.97939i −0.338933 + 0.351122i
\(655\) 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 \(-0.00996400\pi\)
\(660\) 0.214750 + 0.0534956i 0.00835914 + 0.00208231i
\(661\) −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
\(663\) 2.77010 13.9823i 0.107582 0.543029i
\(664\) 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
\(669\) −24.1914 23.3516i −0.935295 0.902826i
\(670\) −0.345406 + 0.598261i −0.0133442 + 0.0231129i
\(671\) 12.0922i 0.466815i
\(672\) 1.23947 + 4.41177i 0.0478135 + 0.170188i
\(673\) −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
\(675\) 25.3595 + 5.37369i 0.976087 + 0.206834i
\(676\) −7.56096 10.5751i −0.290806 0.406733i
\(677\) 9.98440 17.2935i 0.383732 0.664643i −0.607861 0.794044i \(-0.707972\pi\)
0.991592 + 0.129401i \(0.0413055\pi\)
\(678\) −6.36232 22.1706i −0.244344 0.851455i
\(679\) −20.3497 + 11.5981i −0.780950 + 0.445093i
\(680\) 0.241549i 0.00926298i
\(681\) −28.9132 7.20245i −1.10796 0.275998i
\(682\) −0.737363 1.27715i −0.0282351 0.0489046i
\(683\) −20.4986 35.5046i −0.784357 1.35855i −0.929383 0.369118i \(-0.879660\pi\)
0.145026 0.989428i \(-0.453673\pi\)
\(684\) 0.386453 + 10.9354i 0.0147764 + 0.418126i
\(685\) 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
\(690\) −0.128820 0.124348i −0.00490411 0.00473386i
\(691\) 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
\(693\) 4.54271 8.43830i 0.172563 0.320545i
\(694\) 6.23911i 0.236833i
\(695\) −0.957212 + 1.65794i −0.0363091 + 0.0628892i
\(696\) −8.46631 + 8.77079i −0.320914 + 0.332456i
\(697\) 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 \(0.874991\pi\)
\(702\) 6.65842 + 17.5119i 0.251306 + 0.660943i
\(703\) −7.33760 + 4.23636i −0.276743 + 0.159777i
\(704\) 0.603696 + 1.04563i 0.0227527 + 0.0394088i
\(705\) −0.0756967 + 0.303874i −0.00285090 + 0.0114445i
\(706\) 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
\(711\) −26.7546 14.2113i −1.00337 0.532965i
\(712\) 14.7044 + 8.48960i 0.551072 + 0.318161i
\(713\) 1.19307i 0.0446809i
\(714\) 10.1352 + 2.58486i 0.379301 + 0.0967358i
\(715\) −0.0223607 0.460157i −0.000836244 0.0172089i
\(716\) −15.1632 8.75448i −0.566676 0.327170i
\(717\) 18.9740 + 18.3153i 0.708598 + 0.683999i
\(718\) 15.5010 + 26.8486i 0.578494 + 1.00198i
\(719\) −6.33059 + 10.9649i −0.236091 + 0.408922i −0.959589 0.281405i \(-0.909200\pi\)
0.723498 + 0.690326i \(0.242533\pi\)
\(720\) −0.168352 0.269170i −0.00627413 0.0100314i
\(721\) 3.05236 + 0.0170223i 0.113676 + 0.000633945i
\(722\) −5.69638 −0.211997
\(723\) 6.85467 27.5171i 0.254928 1.02337i
\(724\) 11.5944 6.69403i 0.430903 0.248782i
\(725\) 30.4077 17.5559i 1.12931 0.652008i
\(726\) −3.99503 + 16.0375i −0.148269 + 0.595207i
\(727\) 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
\(732\) −12.0475 + 12.4807i −0.445287 + 0.461301i
\(733\) −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
\(735\) 1.24150 + 0.324014i 0.0457935 + 0.0119514i
\(736\) 0.976796i 0.0360052i
\(737\) 6.82561 + 3.94077i 0.251425 + 0.145160i
\(738\) −0.587789 + 1.10659i −0.0216368 + 0.0407340i
\(739\) −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
\(741\) 21.5636 7.33834i 0.792159 0.269581i
\(742\) 2.68392 + 4.70915i 0.0985300 + 0.172878i
\(743\) 51.3542 1.88400 0.942002 0.335607i \(-0.108941\pi\)
0.942002 + 0.335607i \(0.108941\pi\)
\(744\) −0.511369 + 2.05282i −0.0187477 + 0.0752599i
\(745\) 1.08612 0.627072i 0.0397924 0.0229741i
\(746\) −10.9216 18.9168i −0.399869 0.692594i
\(747\) −35.0135 + 1.23736i −1.28108 + 0.0452727i
\(748\) 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
\(753\) 7.08870 + 6.84261i 0.258326 + 0.249359i
\(754\) 22.5664 + 11.6065i 0.821821 + 0.422685i
\(755\) 1.91993 0.0698735
\(756\) −13.0957 + 4.18352i −0.476287 + 0.152153i
\(757\) −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
\(759\) −1.41870 + 1.46972i −0.0514955 + 0.0533475i
\(760\) −0.334282 + 0.192998i −0.0121257 + 0.00700077i
\(761\) −2.67214 1.54276i −0.0968650 0.0559250i 0.450785 0.892633i \(-0.351144\pi\)
−0.547650 + 0.836708i \(0.684477\pi\)
\(762\) −22.9554 + 6.58756i −0.831587 + 0.238642i
\(763\) −9.62391 + 16.4565i −0.348409 + 0.595764i
\(764\) 14.8904i 0.538717i
\(765\) −0.724195 + 0.0255927i −0.0261833 + 0.000925308i
\(766\) 13.3338 7.69829i 0.481771 0.278151i
\(767\) −31.6431 + 20.3785i −1.14257 + 0.735826i
\(768\) 0.418670 1.68069i 0.0151074 0.0606466i
\(769\) −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 \(-0.295805\pi\)
0.993058 0.117626i \(-0.0375283\pi\)
\(774\) −12.9937 6.90189i −0.467048