Properties

Label 546.2.q.j.251.2
Level $546$
Weight $2$
Character 546.251
Analytic conductor $4.360$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(12\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 251.2
Character \(\chi\) \(=\) 546.251
Dual form 546.2.q.j.335.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(-1.63915 + 0.559644i) q^{3} +(-0.500000 - 0.866025i) q^{4} -2.94869i q^{5} +(-0.334907 + 1.69936i) q^{6} +(-1.08009 - 2.41524i) q^{7} -1.00000 q^{8} +(2.37360 - 1.83468i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(-1.63915 + 0.559644i) q^{3} +(-0.500000 - 0.866025i) q^{4} -2.94869i q^{5} +(-0.334907 + 1.69936i) q^{6} +(-1.08009 - 2.41524i) q^{7} -1.00000 q^{8} +(2.37360 - 1.83468i) q^{9} +(-2.55364 - 1.47434i) q^{10} +(-1.48708 + 2.57570i) q^{11} +(1.30424 + 1.13972i) q^{12} +(-2.33135 + 2.75042i) q^{13} +(-2.63171 - 0.272231i) q^{14} +(1.65022 + 4.83333i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(2.27441 + 3.93940i) q^{17} +(-0.402078 - 2.97293i) q^{18} +(-3.30152 - 5.71840i) q^{19} +(-2.55364 + 1.47434i) q^{20} +(3.12211 + 3.35446i) q^{21} +(1.48708 + 2.57570i) q^{22} +(-1.82779 - 1.05528i) q^{23} +(1.63915 - 0.559644i) q^{24} -3.69475 q^{25} +(1.21626 + 3.39422i) q^{26} +(-2.86390 + 4.33567i) q^{27} +(-1.55161 + 2.14301i) q^{28} +(0.262375 + 0.151482i) q^{29} +(5.01089 + 0.987535i) q^{30} -7.31345 q^{31} +(0.500000 + 0.866025i) q^{32} +(0.996066 - 5.05418i) q^{33} +4.54883 q^{34} +(-7.12179 + 3.18486i) q^{35} +(-2.77567 - 1.13826i) q^{36} +(-5.19513 - 2.99941i) q^{37} -6.60304 q^{38} +(2.28216 - 5.81307i) q^{39} +2.94869i q^{40} +(4.22640 + 2.44011i) q^{41} +(4.46611 - 1.02659i) q^{42} +(-4.53030 - 7.84671i) q^{43} +2.97416 q^{44} +(-5.40989 - 6.99899i) q^{45} +(-1.82779 + 1.05528i) q^{46} +7.77801i q^{47} +(0.334907 - 1.69936i) q^{48} +(-4.66679 + 5.21738i) q^{49} +(-1.84738 + 3.19975i) q^{50} +(-5.93276 - 5.18439i) q^{51} +(3.54761 + 0.643796i) q^{52} -1.95097i q^{53} +(2.32285 + 4.64805i) q^{54} +(7.59492 + 4.38493i) q^{55} +(1.08009 + 2.41524i) q^{56} +(8.61195 + 7.52562i) q^{57} +(0.262375 - 0.151482i) q^{58} +(5.73006 - 3.30825i) q^{59} +(3.36068 - 3.84579i) q^{60} +(6.23017 - 3.59699i) q^{61} +(-3.65672 + 6.33363i) q^{62} +(-6.99490 - 3.75119i) q^{63} +1.00000 q^{64} +(8.11013 + 6.87441i) q^{65} +(-3.87901 - 3.38971i) q^{66} +(-6.91165 - 3.99044i) q^{67} +(2.27441 - 3.93940i) q^{68} +(3.58659 + 0.706838i) q^{69} +(-0.802725 + 7.76008i) q^{70} +(-4.69513 - 8.13220i) q^{71} +(-2.37360 + 1.83468i) q^{72} +9.10184 q^{73} +(-5.19513 + 2.99941i) q^{74} +(6.05624 - 2.06775i) q^{75} +(-3.30152 + 5.71840i) q^{76} +(7.82712 + 0.809659i) q^{77} +(-3.89318 - 4.88294i) q^{78} +11.3067 q^{79} +(2.55364 + 1.47434i) q^{80} +(2.26792 - 8.70956i) q^{81} +(4.22640 - 2.44011i) q^{82} -5.68231i q^{83} +(1.34400 - 4.38106i) q^{84} +(11.6161 - 6.70653i) q^{85} -9.06060 q^{86} +(-0.514846 - 0.101465i) q^{87} +(1.48708 - 2.57570i) q^{88} +(-12.8884 - 7.44115i) q^{89} +(-8.76625 + 1.18560i) q^{90} +(9.16101 + 2.66005i) q^{91} +2.11055i q^{92} +(11.9878 - 4.09293i) q^{93} +(6.73596 + 3.88901i) q^{94} +(-16.8618 + 9.73515i) q^{95} +(-1.30424 - 1.13972i) q^{96} +(-5.31270 - 9.20186i) q^{97} +(2.18499 + 6.65025i) q^{98} +(1.19584 + 8.84197i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q + 12q^{2} - 12q^{4} - 18q^{7} - 24q^{8} + 6q^{9} + O(q^{10}) \) \( 24q + 12q^{2} - 12q^{4} - 18q^{7} - 24q^{8} + 6q^{9} + 12q^{15} - 12q^{16} - 6q^{18} + 12q^{21} - 36q^{23} - 12q^{25} + 18q^{28} + 6q^{30} + 12q^{32} - 36q^{35} - 12q^{36} + 36q^{37} + 12q^{39} - 12q^{42} - 42q^{43} - 36q^{46} - 6q^{50} + 12q^{51} + 18q^{56} - 36q^{57} - 6q^{60} + 66q^{63} + 24q^{64} + 66q^{65} - 54q^{67} + 48q^{71} - 6q^{72} + 36q^{74} - 12q^{78} - 48q^{79} - 6q^{81} - 24q^{84} - 84q^{86} + 36q^{91} + 54q^{93} - 36q^{95} + 36q^{99} + O(q^{100}) \)

Character values

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

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

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
\(3\) −1.63915 + 0.559644i −0.946361 + 0.323111i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 2.94869i 1.31869i −0.751839 0.659346i \(-0.770833\pi\)
0.751839 0.659346i \(-0.229167\pi\)
\(6\) −0.334907 + 1.69936i −0.136725 + 0.693762i
\(7\) −1.08009 2.41524i −0.408238 0.912876i
\(8\) −1.00000 −0.353553
\(9\) 2.37360 1.83468i 0.791199 0.611559i
\(10\) −2.55364 1.47434i −0.807531 0.466228i
\(11\) −1.48708 + 2.57570i −0.448371 + 0.776602i −0.998280 0.0586229i \(-0.981329\pi\)
0.549909 + 0.835225i \(0.314662\pi\)
\(12\) 1.30424 + 1.13972i 0.376501 + 0.329009i
\(13\) −2.33135 + 2.75042i −0.646600 + 0.762830i
\(14\) −2.63171 0.272231i −0.703354 0.0727569i
\(15\) 1.65022 + 4.83333i 0.426084 + 1.24796i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 2.27441 + 3.93940i 0.551626 + 0.955445i 0.998157 + 0.0606766i \(0.0193258\pi\)
−0.446531 + 0.894768i \(0.647341\pi\)
\(18\) −0.402078 2.97293i −0.0947707 0.700727i
\(19\) −3.30152 5.71840i −0.757421 1.31189i −0.944162 0.329483i \(-0.893126\pi\)
0.186741 0.982409i \(-0.440208\pi\)
\(20\) −2.55364 + 1.47434i −0.571011 + 0.329673i
\(21\) 3.12211 + 3.35446i 0.681300 + 0.732004i
\(22\) 1.48708 + 2.57570i 0.317046 + 0.549140i
\(23\) −1.82779 1.05528i −0.381121 0.220040i 0.297185 0.954820i \(-0.403952\pi\)
−0.678306 + 0.734780i \(0.737285\pi\)
\(24\) 1.63915 0.559644i 0.334589 0.114237i
\(25\) −3.69475 −0.738950
\(26\) 1.21626 + 3.39422i 0.238528 + 0.665661i
\(27\) −2.86390 + 4.33567i −0.551159 + 0.834400i
\(28\) −1.55161 + 2.14301i −0.293227 + 0.404991i
\(29\) 0.262375 + 0.151482i 0.0487218 + 0.0281295i 0.524163 0.851618i \(-0.324378\pi\)
−0.475441 + 0.879747i \(0.657712\pi\)
\(30\) 5.01089 + 0.987535i 0.914859 + 0.180298i
\(31\) −7.31345 −1.31353 −0.656767 0.754094i \(-0.728076\pi\)
−0.656767 + 0.754094i \(0.728076\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) 0.996066 5.05418i 0.173393 0.879819i
\(34\) 4.54883 0.780117
\(35\) −7.12179 + 3.18486i −1.20380 + 0.538340i
\(36\) −2.77567 1.13826i −0.462612 0.189709i
\(37\) −5.19513 2.99941i −0.854074 0.493100i 0.00794922 0.999968i \(-0.497470\pi\)
−0.862023 + 0.506868i \(0.830803\pi\)
\(38\) −6.60304 −1.07116
\(39\) 2.28216 5.81307i 0.365438 0.930836i
\(40\) 2.94869i 0.466228i
\(41\) 4.22640 + 2.44011i 0.660053 + 0.381082i 0.792297 0.610135i \(-0.208885\pi\)
−0.132244 + 0.991217i \(0.542218\pi\)
\(42\) 4.46611 1.02659i 0.689135 0.158407i
\(43\) −4.53030 7.84671i −0.690864 1.19661i −0.971555 0.236813i \(-0.923897\pi\)
0.280691 0.959798i \(-0.409436\pi\)
\(44\) 2.97416 0.448371
\(45\) −5.40989 6.99899i −0.806458 1.04335i
\(46\) −1.82779 + 1.05528i −0.269493 + 0.155592i
\(47\) 7.77801i 1.13454i 0.823532 + 0.567270i \(0.192000\pi\)
−0.823532 + 0.567270i \(0.808000\pi\)
\(48\) 0.334907 1.69936i 0.0483396 0.245282i
\(49\) −4.66679 + 5.21738i −0.666684 + 0.745340i
\(50\) −1.84738 + 3.19975i −0.261258 + 0.452513i
\(51\) −5.93276 5.18439i −0.830752 0.725959i
\(52\) 3.54761 + 0.643796i 0.491965 + 0.0892784i
\(53\) 1.95097i 0.267986i −0.990982 0.133993i \(-0.957220\pi\)
0.990982 0.133993i \(-0.0427800\pi\)
\(54\) 2.32285 + 4.64805i 0.316100 + 0.632520i
\(55\) 7.59492 + 4.38493i 1.02410 + 0.591264i
\(56\) 1.08009 + 2.41524i 0.144334 + 0.322750i
\(57\) 8.61195 + 7.52562i 1.14068 + 0.996793i
\(58\) 0.262375 0.151482i 0.0344515 0.0198906i
\(59\) 5.73006 3.30825i 0.745990 0.430698i −0.0782530 0.996934i \(-0.524934\pi\)
0.824243 + 0.566236i \(0.191601\pi\)
\(60\) 3.36068 3.84579i 0.433861 0.496490i
\(61\) 6.23017 3.59699i 0.797692 0.460548i −0.0449714 0.998988i \(-0.514320\pi\)
0.842664 + 0.538441i \(0.180986\pi\)
\(62\) −3.65672 + 6.33363i −0.464404 + 0.804372i
\(63\) −6.99490 3.75119i −0.881274 0.472605i
\(64\) 1.00000 0.125000
\(65\) 8.11013 + 6.87441i 1.00594 + 0.852666i
\(66\) −3.87901 3.38971i −0.477473 0.417244i
\(67\) −6.91165 3.99044i −0.844392 0.487510i 0.0143627 0.999897i \(-0.495428\pi\)
−0.858755 + 0.512387i \(0.828761\pi\)
\(68\) 2.27441 3.93940i 0.275813 0.477722i
\(69\) 3.58659 + 0.706838i 0.431775 + 0.0850932i
\(70\) −0.802725 + 7.76008i −0.0959440 + 0.927507i
\(71\) −4.69513 8.13220i −0.557209 0.965115i −0.997728 0.0673716i \(-0.978539\pi\)
0.440518 0.897744i \(-0.354795\pi\)
\(72\) −2.37360 + 1.83468i −0.279731 + 0.216219i
\(73\) 9.10184 1.06529 0.532645 0.846339i \(-0.321198\pi\)
0.532645 + 0.846339i \(0.321198\pi\)
\(74\) −5.19513 + 2.99941i −0.603922 + 0.348674i
\(75\) 6.05624 2.06775i 0.699314 0.238763i
\(76\) −3.30152 + 5.71840i −0.378711 + 0.655946i
\(77\) 7.82712 + 0.809659i 0.891983 + 0.0922693i
\(78\) −3.89318 4.88294i −0.440816 0.552884i
\(79\) 11.3067 1.27210 0.636051 0.771647i \(-0.280567\pi\)
0.636051 + 0.771647i \(0.280567\pi\)
\(80\) 2.55364 + 1.47434i 0.285505 + 0.164837i
\(81\) 2.26792 8.70956i 0.251992 0.967729i
\(82\) 4.22640 2.44011i 0.466728 0.269466i
\(83\) 5.68231i 0.623714i −0.950129 0.311857i \(-0.899049\pi\)
0.950129 0.311857i \(-0.100951\pi\)
\(84\) 1.34400 4.38106i 0.146642 0.478013i
\(85\) 11.6161 6.70653i 1.25994 0.727425i
\(86\) −9.06060 −0.977029
\(87\) −0.514846 0.101465i −0.0551973 0.0108782i
\(88\) 1.48708 2.57570i 0.158523 0.274570i
\(89\) −12.8884 7.44115i −1.36617 0.788760i −0.375736 0.926727i \(-0.622610\pi\)
−0.990437 + 0.137967i \(0.955943\pi\)
\(90\) −8.76625 + 1.18560i −0.924044 + 0.124973i
\(91\) 9.16101 + 2.66005i 0.960335 + 0.278849i
\(92\) 2.11055i 0.220040i
\(93\) 11.9878 4.09293i 1.24308 0.424417i
\(94\) 6.73596 + 3.88901i 0.694761 + 0.401120i
\(95\) −16.8618 + 9.73515i −1.72998 + 0.998806i
\(96\) −1.30424 1.13972i −0.133113 0.116322i
\(97\) −5.31270 9.20186i −0.539423 0.934307i −0.998935 0.0461360i \(-0.985309\pi\)
0.459513 0.888171i \(-0.348024\pi\)
\(98\) 2.18499 + 6.65025i 0.220717 + 0.671777i
\(99\) 1.19584 + 8.84197i 0.120187 + 0.888652i
\(100\) 1.84738 + 3.19975i 0.184738 + 0.319975i
\(101\) 5.54280 9.60041i 0.551529 0.955276i −0.446636 0.894716i \(-0.647378\pi\)
0.998165 0.0605602i \(-0.0192887\pi\)
\(102\) −7.45619 + 2.54572i −0.738273 + 0.252064i
\(103\) 11.2150i 1.10505i 0.833498 + 0.552523i \(0.186335\pi\)
−0.833498 + 0.552523i \(0.813665\pi\)
\(104\) 2.33135 2.75042i 0.228607 0.269701i
\(105\) 9.89127 9.20612i 0.965289 0.898425i
\(106\) −1.68959 0.975484i −0.164107 0.0947474i
\(107\) 12.3286 + 7.11791i 1.19185 + 0.688114i 0.958726 0.284333i \(-0.0917722\pi\)
0.233123 + 0.972447i \(0.425106\pi\)
\(108\) 5.18675 + 0.312379i 0.499096 + 0.0300586i
\(109\) 3.19314i 0.305847i −0.988238 0.152924i \(-0.951131\pi\)
0.988238 0.152924i \(-0.0488689\pi\)
\(110\) 7.59492 4.38493i 0.724147 0.418087i
\(111\) 10.1942 + 2.00905i 0.967589 + 0.190690i
\(112\) 2.63171 + 0.272231i 0.248673 + 0.0257235i
\(113\) −10.1785 + 5.87655i −0.957511 + 0.552819i −0.895406 0.445250i \(-0.853115\pi\)
−0.0621050 + 0.998070i \(0.519781\pi\)
\(114\) 10.8234 3.69536i 1.01370 0.346102i
\(115\) −3.11168 + 5.38958i −0.290165 + 0.502581i
\(116\) 0.302964i 0.0281295i
\(117\) −0.487547 + 10.8057i −0.0450737 + 0.998984i
\(118\) 6.61650i 0.609099i
\(119\) 7.05802 9.74818i 0.647008 0.893615i
\(120\) −1.65022 4.83333i −0.150643 0.441220i
\(121\) 1.07719 + 1.86575i 0.0979265 + 0.169614i
\(122\) 7.19399i 0.651313i
\(123\) −8.29328 1.63442i −0.747780 0.147371i
\(124\) 3.65672 + 6.33363i 0.328383 + 0.568777i
\(125\) 3.84877i 0.344244i
\(126\) −6.74607 + 4.18217i −0.600988 + 0.372577i
\(127\) 4.70251 8.14498i 0.417280 0.722750i −0.578385 0.815764i \(-0.696317\pi\)
0.995665 + 0.0930138i \(0.0296501\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) 11.8172 + 10.3265i 1.04044 + 0.909201i
\(130\) 10.0085 3.58637i 0.877802 0.314546i
\(131\) −16.3543 −1.42888 −0.714442 0.699694i \(-0.753320\pi\)
−0.714442 + 0.699694i \(0.753320\pi\)
\(132\) −4.87508 + 1.66447i −0.424321 + 0.144874i
\(133\) −10.2454 + 14.1504i −0.888387 + 1.22699i
\(134\) −6.91165 + 3.99044i −0.597075 + 0.344722i
\(135\) 12.7845 + 8.44476i 1.10032 + 0.726809i
\(136\) −2.27441 3.93940i −0.195029 0.337801i
\(137\) −2.34996 4.07025i −0.200771 0.347745i 0.748006 0.663692i \(-0.231011\pi\)
−0.948777 + 0.315946i \(0.897678\pi\)
\(138\) 2.40544 2.75266i 0.204764 0.234322i
\(139\) −0.386606 + 0.223207i −0.0327915 + 0.0189322i −0.516306 0.856404i \(-0.672693\pi\)
0.483515 + 0.875336i \(0.339360\pi\)
\(140\) 6.31907 + 4.57522i 0.534059 + 0.386677i
\(141\) −4.35292 12.7493i −0.366582 1.07368i
\(142\) −9.39026 −0.788013
\(143\) −3.61735 10.0949i −0.302498 0.844181i
\(144\) 0.402078 + 2.97293i 0.0335065 + 0.247744i
\(145\) 0.446673 0.773661i 0.0370942 0.0642490i
\(146\) 4.55092 7.88243i 0.376637 0.652354i
\(147\) 4.72967 11.1638i 0.390097 0.920774i
\(148\) 5.99882i 0.493100i
\(149\) −6.44975 11.1713i −0.528384 0.915189i −0.999452 0.0330918i \(-0.989465\pi\)
0.471068 0.882097i \(-0.343869\pi\)
\(150\) 1.23740 6.27873i 0.101033 0.512656i
\(151\) 10.5573i 0.859142i −0.903033 0.429571i \(-0.858665\pi\)
0.903033 0.429571i \(-0.141335\pi\)
\(152\) 3.30152 + 5.71840i 0.267789 + 0.463824i
\(153\) 12.6261 + 5.17773i 1.02076 + 0.418595i
\(154\) 4.61474 6.37365i 0.371867 0.513604i
\(155\) 21.5651i 1.73215i
\(156\) −6.17534 + 0.930123i −0.494423 + 0.0744695i
\(157\) 5.14640i 0.410727i 0.978686 + 0.205364i \(0.0658377\pi\)
−0.978686 + 0.205364i \(0.934162\pi\)
\(158\) 5.65335 9.79189i 0.449756 0.779001i
\(159\) 1.09185 + 3.19792i 0.0865891 + 0.253612i
\(160\) 2.55364 1.47434i 0.201883 0.116557i
\(161\) −0.574558 + 5.55435i −0.0452815 + 0.437744i
\(162\) −6.40874 6.31886i −0.503518 0.496457i
\(163\) −19.6585 + 11.3498i −1.53977 + 0.888989i −0.540922 + 0.841073i \(0.681925\pi\)
−0.998851 + 0.0479160i \(0.984742\pi\)
\(164\) 4.88023i 0.381082i
\(165\) −14.9032 2.93709i −1.16021 0.228652i
\(166\) −4.92102 2.84115i −0.381946 0.220516i
\(167\) 15.7303 + 9.08191i 1.21725 + 0.702780i 0.964329 0.264707i \(-0.0852753\pi\)
0.252921 + 0.967487i \(0.418609\pi\)
\(168\) −3.12211 3.35446i −0.240876 0.258803i
\(169\) −2.12963 12.8244i −0.163818 0.986491i
\(170\) 13.4131i 1.02873i
\(171\) −18.3279 7.51596i −1.40157 0.574760i
\(172\) −4.53030 + 7.84671i −0.345432 + 0.598306i
\(173\) −4.92782 8.53524i −0.374656 0.648922i 0.615620 0.788043i \(-0.288906\pi\)
−0.990275 + 0.139121i \(0.955572\pi\)
\(174\) −0.345294 + 0.395138i −0.0261767 + 0.0299553i
\(175\) 3.99068 + 8.92372i 0.301667 + 0.674570i
\(176\) −1.48708 2.57570i −0.112093 0.194150i
\(177\) −7.54096 + 8.62950i −0.566813 + 0.648633i
\(178\) −12.8884 + 7.44115i −0.966030 + 0.557738i
\(179\) −5.55478 3.20706i −0.415184 0.239707i 0.277831 0.960630i \(-0.410385\pi\)
−0.693015 + 0.720923i \(0.743718\pi\)
\(180\) −3.35636 + 8.18459i −0.250168 + 0.610044i
\(181\) 9.31777i 0.692584i −0.938127 0.346292i \(-0.887441\pi\)
0.938127 0.346292i \(-0.112559\pi\)
\(182\) 6.88418 6.60364i 0.510289 0.489494i
\(183\) −8.19913 + 9.38268i −0.606097 + 0.693587i
\(184\) 1.82779 + 1.05528i 0.134746 + 0.0777959i
\(185\) −8.84432 + 15.3188i −0.650247 + 1.12626i
\(186\) 2.44932 12.4282i 0.179593 0.911280i
\(187\) −13.5289 −0.989333
\(188\) 6.73596 3.88901i 0.491270 0.283635i
\(189\) 13.5650 + 2.23409i 0.986708 + 0.162506i
\(190\) 19.4703i 1.41252i
\(191\) 19.2376 11.1068i 1.39198 0.803662i 0.398448 0.917191i \(-0.369549\pi\)
0.993535 + 0.113529i \(0.0362154\pi\)
\(192\) −1.63915 + 0.559644i −0.118295 + 0.0403888i
\(193\) −14.0769 8.12729i −1.01328 0.585015i −0.101127 0.994874i \(-0.532245\pi\)
−0.912149 + 0.409858i \(0.865578\pi\)
\(194\) −10.6254 −0.762859
\(195\) −17.1409 6.72938i −1.22749 0.481901i
\(196\) 6.85178 + 1.43287i 0.489413 + 0.102348i
\(197\) −1.76094 + 3.05003i −0.125462 + 0.217306i −0.921913 0.387396i \(-0.873375\pi\)
0.796452 + 0.604702i \(0.206708\pi\)
\(198\) 8.25530 + 3.38536i 0.586678 + 0.240587i
\(199\) 7.32335 4.22814i 0.519139 0.299725i −0.217443 0.976073i \(-0.569772\pi\)
0.736582 + 0.676348i \(0.236438\pi\)
\(200\) 3.69475 0.261258
\(201\) 13.5624 + 2.67285i 0.956619 + 0.188528i
\(202\) −5.54280 9.60041i −0.389990 0.675482i
\(203\) 0.0824764 0.797313i 0.00578871 0.0559604i
\(204\) −1.52343 + 7.73011i −0.106662 + 0.541216i
\(205\) 7.19513 12.4623i 0.502530 0.870407i
\(206\) 9.71247 + 5.60750i 0.676700 + 0.390693i
\(207\) −6.27453 + 0.848606i −0.436110 + 0.0589822i
\(208\) −1.21626 3.39422i −0.0843325 0.235347i
\(209\) 19.6385 1.35842
\(210\) −3.02710 13.1691i −0.208890 0.908757i
\(211\) 1.64519 2.84956i 0.113260 0.196172i −0.803823 0.594869i \(-0.797204\pi\)
0.917083 + 0.398697i \(0.130537\pi\)
\(212\) −1.68959 + 0.975484i −0.116041 + 0.0669965i
\(213\) 12.2471 + 10.7023i 0.839160 + 0.733307i
\(214\) 12.3286 7.11791i 0.842764 0.486570i
\(215\) −23.1375 + 13.3584i −1.57796 + 0.911037i
\(216\) 2.86390 4.33567i 0.194864 0.295005i
\(217\) 7.89922 + 17.6637i 0.536234 + 1.19909i
\(218\) −2.76534 1.59657i −0.187293 0.108133i
\(219\) −14.9192 + 5.09379i −1.00815 + 0.344207i
\(220\) 8.76986i 0.591264i
\(221\) −16.1375 2.92852i −1.08552 0.196993i
\(222\) 6.83697 7.82389i 0.458868 0.525105i
\(223\) 11.6151 20.1179i 0.777804 1.34720i −0.155401 0.987852i \(-0.549667\pi\)
0.933205 0.359345i \(-0.117000\pi\)
\(224\) 1.55161 2.14301i 0.103672 0.143186i
\(225\) −8.76985 + 6.77867i −0.584657 + 0.451912i
\(226\) 11.7531i 0.781805i
\(227\) −16.2928 + 9.40665i −1.08139 + 0.624341i −0.931271 0.364326i \(-0.881299\pi\)
−0.150120 + 0.988668i \(0.547966\pi\)
\(228\) 2.21140 11.2210i 0.146454 0.743127i
\(229\) 13.0413 0.861790 0.430895 0.902402i \(-0.358198\pi\)
0.430895 + 0.902402i \(0.358198\pi\)
\(230\) 3.11168 + 5.38958i 0.205178 + 0.355378i
\(231\) −13.2829 + 3.05325i −0.873951 + 0.200889i
\(232\) −0.262375 0.151482i −0.0172257 0.00994529i
\(233\) 15.0853i 0.988273i 0.869384 + 0.494137i \(0.164516\pi\)
−0.869384 + 0.494137i \(0.835484\pi\)
\(234\) 9.11420 + 5.82506i 0.595814 + 0.380796i
\(235\) 22.9349 1.49611
\(236\) −5.73006 3.30825i −0.372995 0.215349i
\(237\) −18.5333 + 6.32773i −1.20387 + 0.411030i
\(238\) −4.91316 10.9865i −0.318473 0.712150i
\(239\) 7.21221 0.466519 0.233260 0.972415i \(-0.425061\pi\)
0.233260 + 0.972415i \(0.425061\pi\)
\(240\) −5.01089 0.987535i −0.323452 0.0637451i
\(241\) −1.89316 3.27906i −0.121949 0.211223i 0.798587 0.601879i \(-0.205581\pi\)
−0.920536 + 0.390657i \(0.872248\pi\)
\(242\) 2.15438 0.138489
\(243\) 1.15680 + 15.5455i 0.0742087 + 0.997243i
\(244\) −6.23017 3.59699i −0.398846 0.230274i
\(245\) 15.3844 + 13.7609i 0.982875 + 0.879152i
\(246\) −5.56209 + 6.36498i −0.354626 + 0.405816i
\(247\) 23.4250 + 4.25101i 1.49050 + 0.270485i
\(248\) 7.31345 0.464404
\(249\) 3.18007 + 9.31413i 0.201529 + 0.590259i
\(250\) −3.33313 1.92438i −0.210806 0.121709i
\(251\) −1.12841 1.95447i −0.0712247 0.123365i 0.828214 0.560413i \(-0.189357\pi\)
−0.899438 + 0.437048i \(0.856024\pi\)
\(252\) 0.248826 + 7.93335i 0.0156746 + 0.499754i
\(253\) 5.43614 3.13856i 0.341767 0.197319i
\(254\) −4.70251 8.14498i −0.295062 0.511062i
\(255\) −15.2871 + 17.4938i −0.957317 + 1.09551i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −5.72584 + 9.91745i −0.357168 + 0.618634i −0.987487 0.157703i \(-0.949591\pi\)
0.630318 + 0.776337i \(0.282924\pi\)
\(258\) 14.8516 5.07071i 0.924623 0.315689i
\(259\) −1.63307 + 15.7871i −0.101474 + 0.980966i
\(260\) 1.89835 10.4608i 0.117731 0.648750i
\(261\) 0.900692 0.121815i 0.0557515 0.00754018i
\(262\) −8.17717 + 14.1633i −0.505187 + 0.875010i
\(263\) 7.45900 + 4.30646i 0.459942 + 0.265547i 0.712020 0.702159i \(-0.247781\pi\)
−0.252078 + 0.967707i \(0.581114\pi\)
\(264\) −0.996066 + 5.05418i −0.0613036 + 0.311063i
\(265\) −5.75279 −0.353391
\(266\) 7.13191 + 15.9480i 0.437286 + 0.977832i
\(267\) 25.2904 + 4.98418i 1.54775 + 0.305027i
\(268\) 7.98088i 0.487510i
\(269\) 0.400496 + 0.693680i 0.0244187 + 0.0422944i 0.877977 0.478704i \(-0.158893\pi\)
−0.853558 + 0.520998i \(0.825560\pi\)
\(270\) 13.7056 6.84935i 0.834099 0.416838i
\(271\) −5.57461 + 9.65551i −0.338634 + 0.586531i −0.984176 0.177194i \(-0.943298\pi\)
0.645542 + 0.763724i \(0.276631\pi\)
\(272\) −4.54883 −0.275813
\(273\) −16.5049 + 0.766690i −0.998923 + 0.0464022i
\(274\) −4.69993 −0.283933
\(275\) 5.49439 9.51656i 0.331324 0.573870i
\(276\) −1.18116 3.45950i −0.0710973 0.208237i
\(277\) −2.18140 3.77829i −0.131068 0.227016i 0.793021 0.609195i \(-0.208507\pi\)
−0.924088 + 0.382179i \(0.875174\pi\)
\(278\) 0.446414i 0.0267741i
\(279\) −17.3592 + 13.4178i −1.03927 + 0.803303i
\(280\) 7.12179 3.18486i 0.425608 0.190332i
\(281\) 25.5114 1.52188 0.760940 0.648822i \(-0.224738\pi\)
0.760940 + 0.648822i \(0.224738\pi\)
\(282\) −13.2177 2.60491i −0.787101 0.155120i
\(283\) 22.5968 + 13.0463i 1.34324 + 0.775519i 0.987281 0.158983i \(-0.0508214\pi\)
0.355958 + 0.934502i \(0.384155\pi\)
\(284\) −4.69513 + 8.13220i −0.278605 + 0.482558i
\(285\) 22.1907 25.3939i 1.31446 1.50421i
\(286\) −10.5511 1.91475i −0.623903 0.113222i
\(287\) 1.32855 12.8433i 0.0784219 0.758118i
\(288\) 2.77567 + 1.13826i 0.163558 + 0.0670724i
\(289\) −1.84591 + 3.19721i −0.108583 + 0.188071i
\(290\) −0.446673 0.773661i −0.0262296 0.0454309i
\(291\) 13.8580 + 12.1100i 0.812373 + 0.709899i
\(292\) −4.55092 7.88243i −0.266322 0.461284i
\(293\) −16.7126 + 9.64904i −0.976362 + 0.563703i −0.901170 0.433466i \(-0.857290\pi\)
−0.0751922 + 0.997169i \(0.523957\pi\)
\(294\) −7.30329 9.67791i −0.425937 0.564427i
\(295\) −9.75500 16.8962i −0.567958 0.983732i
\(296\) 5.19513 + 2.99941i 0.301961 + 0.174337i
\(297\) −6.90852 13.8240i −0.400873 0.802152i
\(298\) −12.8995 −0.747248
\(299\) 7.16367 2.56698i 0.414286 0.148452i
\(300\) −4.81884 4.21098i −0.278216 0.243121i
\(301\) −14.0585 + 19.4170i −0.810321 + 1.11917i
\(302\) −9.14291 5.27866i −0.526115 0.303753i
\(303\) −3.71264 + 18.8385i −0.213286 + 1.08224i
\(304\) 6.60304 0.378711
\(305\) −10.6064 18.3708i −0.607321 1.05191i
\(306\) 10.7971 8.34562i 0.617228 0.477088i
\(307\) −29.8634 −1.70439 −0.852196 0.523223i \(-0.824729\pi\)
−0.852196 + 0.523223i \(0.824729\pi\)
\(308\) −3.21237 7.18331i −0.183042 0.409307i
\(309\) −6.27641 18.3830i −0.357052 1.04577i
\(310\) 18.6759 + 10.7825i 1.06072 + 0.612407i
\(311\) −13.7260 −0.778332 −0.389166 0.921168i \(-0.627237\pi\)
−0.389166 + 0.921168i \(0.627237\pi\)
\(312\) −2.28216 + 5.81307i −0.129202 + 0.329100i
\(313\) 2.42732i 0.137200i −0.997644 0.0686002i \(-0.978147\pi\)
0.997644 0.0686002i \(-0.0218533\pi\)
\(314\) 4.45691 + 2.57320i 0.251518 + 0.145214i
\(315\) −11.0611 + 20.6258i −0.623221 + 1.16213i
\(316\) −5.65335 9.79189i −0.318026 0.550837i
\(317\) 29.9926 1.68455 0.842275 0.539048i \(-0.181216\pi\)
0.842275 + 0.539048i \(0.181216\pi\)
\(318\) 3.31540 + 0.653392i 0.185919 + 0.0366404i
\(319\) −0.780344 + 0.450532i −0.0436909 + 0.0252249i
\(320\) 2.94869i 0.164837i
\(321\) −24.1918 4.76767i −1.35026 0.266105i
\(322\) 4.52293 + 3.27476i 0.252053 + 0.182495i
\(323\) 15.0181 26.0120i 0.835627 1.44735i
\(324\) −8.67667 + 2.39070i −0.482037 + 0.132817i
\(325\) 8.61375 10.1621i 0.477805 0.563693i
\(326\) 22.6997i 1.25722i
\(327\) 1.78702 + 5.23402i 0.0988226 + 0.289442i
\(328\) −4.22640 2.44011i −0.233364 0.134733i
\(329\) 18.7858 8.40099i 1.03569 0.463162i
\(330\) −9.99518 + 11.4380i −0.550217 + 0.629641i
\(331\) −7.70073 + 4.44602i −0.423270 + 0.244375i −0.696476 0.717580i \(-0.745250\pi\)
0.273205 + 0.961956i \(0.411916\pi\)
\(332\) −4.92102 + 2.84115i −0.270076 + 0.155929i
\(333\) −17.8341 + 2.41199i −0.977302 + 0.132176i
\(334\) 15.7303 9.08191i 0.860726 0.496940i
\(335\) −11.7666 + 20.3803i −0.642876 + 1.11349i
\(336\) −4.46611 + 1.02659i −0.243646 + 0.0560053i
\(337\) −31.3592 −1.70825 −0.854123 0.520070i \(-0.825906\pi\)
−0.854123 + 0.520070i \(0.825906\pi\)
\(338\) −12.1711 4.56787i −0.662018 0.248459i
\(339\) 13.3952 15.3289i 0.727530 0.832549i
\(340\) −11.6161 6.70653i −0.629969 0.363713i
\(341\) 10.8757 18.8372i 0.588951 1.02009i
\(342\) −15.6730 + 12.1145i −0.847497 + 0.655074i
\(343\) 17.6418 + 5.63616i 0.952569 + 0.304324i
\(344\) 4.53030 + 7.84671i 0.244257 + 0.423066i
\(345\) 2.08424 10.5757i 0.112212 0.569379i
\(346\) −9.85565 −0.529843
\(347\) −17.1722 + 9.91440i −0.921855 + 0.532233i −0.884226 0.467059i \(-0.845314\pi\)
−0.0376284 + 0.999292i \(0.511980\pi\)
\(348\) 0.169552 + 0.496602i 0.00908895 + 0.0266207i
\(349\) 7.68781 13.3157i 0.411519 0.712772i −0.583537 0.812087i \(-0.698332\pi\)
0.995056 + 0.0993146i \(0.0316650\pi\)
\(350\) 9.72351 + 1.00583i 0.519743 + 0.0537637i
\(351\) −5.24816 17.9849i −0.280126 0.959963i
\(352\) −2.97416 −0.158523
\(353\) 13.9267 + 8.04057i 0.741242 + 0.427956i 0.822521 0.568735i \(-0.192567\pi\)
−0.0812785 + 0.996691i \(0.525900\pi\)
\(354\) 3.70289 + 10.8454i 0.196806 + 0.576427i
\(355\) −23.9793 + 13.8445i −1.27269 + 0.734788i
\(356\) 14.8823i 0.788760i
\(357\) −6.11361 + 19.9287i −0.323567 + 1.05474i
\(358\) −5.55478 + 3.20706i −0.293579 + 0.169498i
\(359\) −3.32956 −0.175727 −0.0878637 0.996133i \(-0.528004\pi\)
−0.0878637 + 0.996133i \(0.528004\pi\)
\(360\) 5.40989 + 6.99899i 0.285126 + 0.368879i
\(361\) −12.3001 + 21.3044i −0.647373 + 1.12128i
\(362\) −8.06943 4.65888i −0.424120 0.244866i
\(363\) −2.80983 2.45539i −0.147478 0.128875i
\(364\) −2.27683 9.26369i −0.119338 0.485550i
\(365\) 26.8385i 1.40479i
\(366\) 4.02607 + 11.7920i 0.210446 + 0.616377i
\(367\) 0.873061 + 0.504062i 0.0455734 + 0.0263118i 0.522614 0.852570i \(-0.324957\pi\)
−0.477040 + 0.878881i \(0.658290\pi\)
\(368\) 1.82779 1.05528i 0.0952802 0.0550100i
\(369\) 14.5086 1.96223i 0.755287 0.102150i
\(370\) 8.84432 + 15.3188i 0.459794 + 0.796387i
\(371\) −4.71206 + 2.10723i −0.244638 + 0.109402i
\(372\) −9.53848 8.33528i −0.494547 0.432164i
\(373\) −7.20358 12.4770i −0.372987 0.646033i 0.617036 0.786935i \(-0.288333\pi\)
−0.990024 + 0.140902i \(0.955000\pi\)
\(374\) −6.76446 + 11.7164i −0.349782 + 0.605840i
\(375\) 2.15394 + 6.30869i 0.111229 + 0.325780i
\(376\) 7.77801i 0.401120i
\(377\) −1.02833 + 0.368483i −0.0529615 + 0.0189779i
\(378\) 8.71727 10.6306i 0.448368 0.546778i
\(379\) 26.2238 + 15.1403i 1.34703 + 0.777707i 0.987827 0.155553i \(-0.0497161\pi\)
0.359200 + 0.933260i \(0.383049\pi\)
\(380\) 16.8618 + 9.73515i 0.864991 + 0.499403i
\(381\) −3.14980 + 15.9825i −0.161369 + 0.818811i
\(382\) 22.2137i 1.13655i
\(383\) 16.2735 9.39549i 0.831536 0.480087i −0.0228425 0.999739i \(-0.507272\pi\)
0.854378 + 0.519652i \(0.173938\pi\)
\(384\) −0.334907 + 1.69936i −0.0170906 + 0.0867203i
\(385\) 2.38743 23.0797i 0.121675 1.17625i
\(386\) −14.0769 + 8.12729i −0.716494 + 0.413668i
\(387\) −25.1493 10.3133i −1.27841 0.524254i
\(388\) −5.31270 + 9.20186i −0.269711 + 0.467154i
\(389\) 12.2677i 0.621999i −0.950410 0.310999i \(-0.899336\pi\)
0.950410 0.310999i \(-0.100664\pi\)
\(390\) −14.3983 + 11.4798i −0.729085 + 0.581301i
\(391\) 9.60053i 0.485520i
\(392\) 4.66679 5.21738i 0.235708 0.263518i
\(393\) 26.8071 9.15261i 1.35224 0.461688i
\(394\) 1.76094 + 3.05003i 0.0887147 + 0.153658i
\(395\) 33.3399i 1.67751i
\(396\) 7.05945 5.45662i 0.354751 0.274205i
\(397\) −7.56662 13.1058i −0.379758 0.657760i 0.611269 0.791423i \(-0.290659\pi\)
−0.991027 + 0.133663i \(0.957326\pi\)
\(398\) 8.45628i 0.423875i
\(399\) 8.87447 28.9283i 0.444279 1.44823i
\(400\) 1.84738 3.19975i 0.0923688 0.159987i
\(401\) −12.9955 + 22.5089i −0.648965 + 1.12404i 0.334406 + 0.942429i \(0.391464\pi\)
−0.983371 + 0.181611i \(0.941869\pi\)
\(402\) 9.09597 10.4090i 0.453666 0.519153i
\(403\) 17.0502 20.1151i 0.849330 1.00200i
\(404\) −11.0856 −0.551529
\(405\) −25.6818 6.68740i −1.27614 0.332299i
\(406\) −0.649256 0.470083i −0.0322220 0.0233298i
\(407\) 15.4511 8.92072i 0.765885 0.442184i
\(408\) 5.93276 + 5.18439i 0.293715 + 0.256665i
\(409\) −4.57187 7.91871i −0.226064 0.391555i 0.730574 0.682834i \(-0.239253\pi\)
−0.956638 + 0.291279i \(0.905919\pi\)
\(410\) −7.19513 12.4623i −0.355342 0.615471i
\(411\) 6.12983 + 5.35660i 0.302362 + 0.264221i
\(412\) 9.71247 5.60750i 0.478499 0.276262i
\(413\) −14.1792 10.2663i −0.697715 0.505170i
\(414\) −2.40235 + 5.85820i −0.118069 + 0.287915i
\(415\) −16.7553 −0.822488
\(416\) −3.54761 0.643796i −0.173936 0.0315647i
\(417\) 0.508787 0.582231i 0.0249154 0.0285120i
\(418\) 9.81925 17.0074i 0.480275 0.831861i
\(419\) 17.7086 30.6722i 0.865121 1.49843i −0.00180635 0.999998i \(-0.500575\pi\)
0.866927 0.498435i \(-0.166092\pi\)
\(420\) −12.9184 3.96303i −0.630352 0.193376i
\(421\) 35.6470i 1.73733i 0.495401 + 0.868664i \(0.335021\pi\)
−0.495401 + 0.868664i \(0.664979\pi\)
\(422\) −1.64519 2.84956i −0.0800868 0.138714i
\(423\) 14.2701 + 18.4619i 0.693838 + 0.897647i
\(424\) 1.95097i 0.0947474i
\(425\) −8.40339 14.5551i −0.407624 0.706026i
\(426\) 15.3920 5.25520i 0.745745 0.254616i
\(427\) −15.4168 11.1623i −0.746071 0.540181i
\(428\) 14.2358i 0.688114i
\(429\) 11.5789 + 14.5226i 0.559036 + 0.701160i
\(430\) 26.7169i 1.28840i
\(431\) −8.91682 + 15.4444i −0.429508 + 0.743930i −0.996830 0.0795668i \(-0.974646\pi\)
0.567322 + 0.823496i \(0.307980\pi\)
\(432\) −2.32285 4.64805i −0.111758 0.223629i
\(433\) −1.25421 + 0.724116i −0.0602733 + 0.0347988i −0.529834 0.848101i \(-0.677746\pi\)
0.469561 + 0.882900i \(0.344412\pi\)
\(434\) 19.2469 + 1.99095i 0.923879 + 0.0955687i
\(435\) −0.299188 + 1.51812i −0.0143450 + 0.0727883i
\(436\) −2.76534 + 1.59657i −0.132436 + 0.0764619i
\(437\) 13.9361i 0.666652i
\(438\) −3.04827 + 15.4673i −0.145652 + 0.739058i
\(439\) −18.8250 10.8686i −0.898467 0.518730i −0.0217642 0.999763i \(-0.506928\pi\)
−0.876702 + 0.481033i \(0.840262\pi\)
\(440\) −7.59492 4.38493i −0.362074 0.209043i
\(441\) −1.50487 + 20.9460i −0.0716605 + 0.997429i
\(442\) −10.6049 + 12.5112i −0.504423 + 0.595097i
\(443\) 27.6214i 1.31233i 0.754617 + 0.656166i \(0.227823\pi\)
−0.754617 + 0.656166i \(0.772177\pi\)
\(444\) −3.35720 9.83294i −0.159326 0.466651i
\(445\) −21.9416 + 38.0040i −1.04013 + 1.80156i
\(446\) −11.6151 20.1179i −0.549991 0.952612i
\(447\) 16.8240 + 14.7018i 0.795750 + 0.695372i
\(448\) −1.08009 2.41524i −0.0510297 0.114109i
\(449\) 17.4715 + 30.2615i 0.824530 + 1.42813i 0.902278 + 0.431155i \(0.141894\pi\)
−0.0777474 + 0.996973i \(0.524773\pi\)
\(450\) 1.48558 + 10.9842i 0.0700308 + 0.517802i
\(451\) −12.5700 + 7.25728i −0.591898 + 0.341732i
\(452\) 10.1785 + 5.87655i 0.478756 + 0.276410i
\(453\) 5.90834 + 17.3050i 0.277598 + 0.813059i
\(454\) 18.8133i 0.882952i
\(455\) 7.84366 27.0129i 0.367717 1.26639i
\(456\) −8.61195 7.52562i −0.403291 0.352419i
\(457\) 27.1028 + 15.6478i 1.26782 + 0.731974i 0.974574 0.224064i \(-0.0719324\pi\)
0.293242 + 0.956038i \(0.405266\pi\)
\(458\) 6.52063 11.2941i 0.304689 0.527737i
\(459\) −23.5936 1.42096i −1.10126 0.0663245i
\(460\) 6.22335 0.290165
\(461\) 9.34366 5.39456i 0.435178 0.251250i −0.266372 0.963870i \(-0.585825\pi\)
0.701550 + 0.712620i \(0.252492\pi\)
\(462\) −3.99726 + 13.0300i −0.185969 + 0.606209i
\(463\) 9.84138i 0.457368i −0.973501 0.228684i \(-0.926558\pi\)
0.973501 0.228684i \(-0.0734422\pi\)
\(464\) −0.262375 + 0.151482i −0.0121804 + 0.00703238i
\(465\) −12.0688 35.3483i −0.559675 1.63924i
\(466\) 13.0643 + 7.54267i 0.605191 + 0.349407i
\(467\) 4.09209 0.189359 0.0946797 0.995508i \(-0.469817\pi\)
0.0946797 + 0.995508i \(0.469817\pi\)
\(468\) 9.60175 4.98060i 0.443841 0.230228i
\(469\) −2.17265 + 21.0034i −0.100324 + 0.969845i
\(470\) 11.4675 19.8622i 0.528954 0.916176i
\(471\) −2.88015 8.43570i −0.132710 0.388697i
\(472\) −5.73006 + 3.30825i −0.263747 + 0.152275i
\(473\) 26.9476 1.23905
\(474\) −3.78669 + 19.2142i −0.173928 + 0.882537i
\(475\) 12.1983 + 21.1281i 0.559697 + 0.969423i
\(476\) −11.9712 1.23833i −0.548698 0.0567589i
\(477\) −3.57939 4.63081i −0.163889 0.212030i
\(478\) 3.60610 6.24596i 0.164939 0.285683i
\(479\) −13.9551 8.05700i −0.637626 0.368134i 0.146073 0.989274i \(-0.453336\pi\)
−0.783700 + 0.621140i \(0.786670\pi\)
\(480\) −3.36068 + 3.84579i −0.153393 + 0.175536i
\(481\) 20.3613 7.29613i 0.928395 0.332675i
\(482\) −3.78633 −0.172463
\(483\) −2.16668 9.42594i −0.0985872 0.428895i
\(484\) 1.07719 1.86575i 0.0489633 0.0848069i
\(485\) −27.1334 + 15.6655i −1.23206 + 0.711332i
\(486\) 14.0412 + 6.77092i 0.636921 + 0.307135i
\(487\) 16.3782 9.45595i 0.742166 0.428490i −0.0806900 0.996739i \(-0.525712\pi\)
0.822856 + 0.568249i \(0.192379\pi\)
\(488\) −6.23017 + 3.59699i −0.282027 + 0.162828i
\(489\) 25.8713 29.6058i 1.16994 1.33882i
\(490\) 19.6095 6.44285i 0.885867 0.291058i
\(491\) −9.88961 5.70977i −0.446312 0.257678i 0.259959 0.965620i \(-0.416291\pi\)
−0.706271 + 0.707941i \(0.749624\pi\)
\(492\) 2.73119 + 7.99940i 0.123132 + 0.360641i
\(493\) 1.37813i 0.0620679i
\(494\) 15.3940 18.1612i 0.692608 0.817109i
\(495\) 26.0722 3.52617i 1.17186 0.158489i
\(496\) 3.65672 6.33363i 0.164192 0.284388i
\(497\) −14.5701 + 20.1234i −0.653556 + 0.902659i
\(498\) 9.65631 + 1.90304i 0.432710 + 0.0852774i
\(499\) 13.0772i 0.585417i −0.956202 0.292709i \(-0.905443\pi\)
0.956202 0.292709i \(-0.0945566\pi\)
\(500\) −3.33313 + 1.92438i −0.149062 + 0.0860611i
\(501\) −30.8670 6.08319i −1.37903 0.271777i
\(502\) −2.25682 −0.100727
\(503\) 14.9730 + 25.9339i 0.667611 + 1.15634i 0.978570 + 0.205913i \(0.0660165\pi\)
−0.310959 + 0.950423i \(0.600650\pi\)
\(504\) 6.99490 + 3.75119i 0.311578 + 0.167091i
\(505\) −28.3086 16.3440i −1.25972 0.727297i
\(506\) 6.27711i 0.279052i
\(507\) 10.6679 + 19.8292i 0.473777 + 0.880645i
\(508\) −9.40502 −0.417280
\(509\) 22.5334 + 13.0097i 0.998776 + 0.576643i 0.907886 0.419218i \(-0.137696\pi\)
0.0908898 + 0.995861i \(0.471029\pi\)
\(510\) 7.50654 + 21.9860i 0.332395 + 0.973555i
\(511\) −9.83085 21.9832i −0.434891 0.972477i
\(512\) −1.00000 −0.0441942
\(513\) 34.2484 + 2.06265i 1.51210 + 0.0910682i
\(514\) 5.72584 + 9.91745i 0.252556 + 0.437440i
\(515\) 33.0695 1.45722
\(516\) 3.03446 15.3973i 0.133584 0.677826i
\(517\) −20.0338 11.5665i −0.881085 0.508695i
\(518\) 12.8555 + 9.30785i 0.564840 + 0.408964i
\(519\) 12.8541 + 11.2327i 0.564233 + 0.493060i
\(520\) −8.11013 6.87441i −0.355653 0.301463i
\(521\) 7.99767 0.350384 0.175192 0.984534i \(-0.443945\pi\)
0.175192 + 0.984534i \(0.443945\pi\)
\(522\) 0.344851 0.840930i 0.0150937 0.0368065i
\(523\) −15.3715 8.87474i −0.672149 0.388065i 0.124741 0.992189i \(-0.460190\pi\)
−0.796890 + 0.604124i \(0.793523\pi\)
\(524\) 8.17717 + 14.1633i 0.357221 + 0.618725i
\(525\) −11.5354 12.3939i −0.503447 0.540915i
\(526\) 7.45900 4.30646i 0.325228 0.187770i
\(527\) −16.6338 28.8106i −0.724580 1.25501i
\(528\) 3.87901 + 3.38971i 0.168812 + 0.147518i
\(529\) −9.27279 16.0609i −0.403165 0.698302i
\(530\) −2.87640 + 4.98206i −0.124943 + 0.216407i
\(531\) 7.53128 18.3653i 0.326830 0.796985i
\(532\) 17.3773 + 1.79756i 0.753401 + 0.0779340i
\(533\) −16.5646 + 5.93563i −0.717490 + 0.257101i
\(534\) 16.9616 19.4101i 0.734002 0.839956i
\(535\) 20.9885 36.3531i 0.907411 1.57168i
\(536\) 6.91165 + 3.99044i 0.298538 + 0.172361i
\(537\) 10.8999 + 2.14813i 0.470366 + 0.0926986i
\(538\) 0.800992 0.0345332
\(539\) −6.49851 19.7789i −0.279910 0.851937i
\(540\) 0.921106 15.2941i 0.0396381 0.658154i
\(541\) 23.8308i 1.02457i 0.858817 + 0.512283i \(0.171200\pi\)
−0.858817 + 0.512283i \(0.828800\pi\)
\(542\) 5.57461 + 9.65551i 0.239450 + 0.414740i
\(543\) 5.21464 + 15.2732i 0.223781 + 0.655435i
\(544\) −2.27441 + 3.93940i −0.0975147 + 0.168900i
\(545\) −9.41557 −0.403319
\(546\) −7.58848 + 14.6770i −0.324757 + 0.628118i
\(547\) 10.2018 0.436199 0.218099 0.975927i \(-0.430014\pi\)
0.218099 + 0.975927i \(0.430014\pi\)
\(548\) −2.34996 + 4.07025i −0.100385 + 0.173873i
\(549\) 8.18860 19.9682i 0.349481 0.852221i
\(550\) −5.49439 9.51656i −0.234281 0.405787i
\(551\) 2.00049i 0.0852236i
\(552\) −3.58659 0.706838i −0.152656 0.0300850i
\(553\) −12.2123 27.3084i −0.519320 1.16127i
\(554\) −4.36280 −0.185358
\(555\) 5.92404 30.0594i 0.251462 1.27595i
\(556\) 0.386606 + 0.223207i 0.0163957 + 0.00946609i
\(557\) 17.2494 29.8768i 0.730880 1.26592i −0.225627 0.974214i \(-0.572443\pi\)
0.956507 0.291708i \(-0.0942235\pi\)
\(558\) 2.94058 + 21.7424i 0.124485 + 0.920429i
\(559\) 32.1435 + 5.83317i 1.35952 + 0.246717i
\(560\) 0.802725 7.76008i 0.0339213 0.327923i
\(561\) 22.1759 7.57139i 0.936267 0.319664i
\(562\) 12.7557 22.0935i 0.538066 0.931957i
\(563\) −14.5978 25.2842i −0.615225 1.06560i −0.990345 0.138624i \(-0.955732\pi\)
0.375120 0.926976i \(-0.377601\pi\)
\(564\) −8.86475 + 10.1444i −0.373273 + 0.427156i
\(565\) 17.3281 + 30.0132i 0.728999 + 1.26266i
\(566\) 22.5968 13.0463i 0.949813 0.548375i
\(567\) −23.4853 + 3.92957i −0.986289 + 0.165026i
\(568\) 4.69513 + 8.13220i 0.197003 + 0.341220i
\(569\) −0.384044 0.221728i −0.0161000 0.00929532i 0.491928 0.870636i \(-0.336292\pi\)
−0.508028 + 0.861340i \(0.669625\pi\)
\(570\) −10.8964 31.9147i −0.456402 1.33676i
\(571\) 25.1817 1.05382 0.526910 0.849921i \(-0.323350\pi\)
0.526910 + 0.849921i \(0.323350\pi\)
\(572\) −6.93380 + 8.18019i −0.289917 + 0.342031i
\(573\) −25.3173 + 28.9719i −1.05765 + 1.21032i
\(574\) −10.4584 7.57223i −0.436524 0.316059i
\(575\) 6.75323 + 3.89898i 0.281629 + 0.162599i
\(576\) 2.37360 1.83468i 0.0988999 0.0764449i
\(577\) 14.3244 0.596334 0.298167 0.954514i \(-0.403625\pi\)
0.298167 + 0.954514i \(0.403625\pi\)
\(578\) 1.84591 + 3.19721i 0.0767797 + 0.132986i
\(579\) 27.6225 + 5.44377i 1.14795 + 0.226235i
\(580\) −0.893346 −0.0370942
\(581\) −13.7242 + 6.13743i −0.569374 + 0.254624i
\(582\) 17.4166 5.94644i 0.721940 0.246488i
\(583\) 5.02510 + 2.90124i 0.208118 + 0.120157i
\(584\) −9.10184 −0.376637
\(585\) 31.8625 + 1.43762i 1.31735 + 0.0594384i
\(586\) 19.2981i 0.797196i
\(587\) 20.7228 + 11.9643i 0.855321 + 0.493820i 0.862443 0.506155i \(-0.168934\pi\)
−0.00712184 + 0.999975i \(0.502267\pi\)
\(588\) −12.0330 + 1.48588i −0.496231 + 0.0612766i
\(589\) 24.1455 + 41.8212i 0.994898 + 1.72321i
\(590\) −19.5100 −0.803214
\(591\) 1.17950 5.98494i 0.0485181 0.246188i
\(592\) 5.19513 2.99941i 0.213519 0.123275i
\(593\) 32.2797i 1.32557i −0.748811 0.662783i \(-0.769375\pi\)
0.748811 0.662783i \(-0.230625\pi\)
\(594\) −15.4262 0.929063i −0.632946 0.0381199i
\(595\) −28.7443 20.8119i −1.17840 0.853204i
\(596\) −6.44975 + 11.1713i −0.264192 + 0.457594i
\(597\) −9.63779 + 11.0290i −0.394448 + 0.451387i
\(598\) 1.35876 7.48741i 0.0555640 0.306183i
\(599\) 8.21378i 0.335606i 0.985821 + 0.167803i \(0.0536673\pi\)
−0.985821 + 0.167803i \(0.946333\pi\)
\(600\) −6.05624 + 2.06775i −0.247245 + 0.0844154i
\(601\) 32.8675 + 18.9761i 1.34069 + 0.774051i 0.986909 0.161276i \(-0.0515609\pi\)
0.353786 + 0.935327i \(0.384894\pi\)
\(602\) 9.78630 + 21.8835i 0.398860 + 0.891906i
\(603\) −23.7266 + 3.20894i −0.966223 + 0.130678i
\(604\) −9.14291 + 5.27866i −0.372020 + 0.214786i
\(605\) 5.50151 3.17630i 0.223668 0.129135i
\(606\) 14.4583 + 12.6345i 0.587327 + 0.513240i
\(607\) 34.8288 20.1084i 1.41366 0.816175i 0.417926 0.908481i \(-0.362757\pi\)
0.995731 + 0.0923059i \(0.0294238\pi\)
\(608\) 3.30152 5.71840i 0.133894 0.231912i
\(609\) 0.311021 + 1.35307i 0.0126032 + 0.0548292i
\(610\) −21.2128 −0.858881
\(611\) −21.3928 18.1333i −0.865460 0.733593i
\(612\) −1.82898 13.5234i −0.0739323 0.546649i
\(613\) −9.81926 5.66915i −0.396596 0.228975i 0.288418 0.957505i \(-0.406871\pi\)
−0.685014 + 0.728530i \(0.740204\pi\)
\(614\) −14.9317 + 25.8624i −0.602593 + 1.04372i
\(615\) −4.81940 + 24.4543i −0.194337 + 0.986092i
\(616\) −7.82712 0.809659i −0.315364 0.0326221i
\(617\) −5.77858 10.0088i −0.232637 0.402939i 0.725946 0.687751i \(-0.241402\pi\)
−0.958583 + 0.284812i \(0.908069\pi\)
\(618\) −19.0584 3.75598i −0.766639 0.151088i
\(619\) −9.50860 −0.382183 −0.191091 0.981572i \(-0.561203\pi\)
−0.191091 + 0.981572i \(0.561203\pi\)
\(620\) 18.6759 10.7825i 0.750042 0.433037i
\(621\) 9.80994 4.90249i 0.393659 0.196730i
\(622\) −6.86302 + 11.8871i −0.275182 + 0.476629i
\(623\) −4.05143 + 39.1659i −0.162317 + 1.56915i
\(624\) 3.89318 + 4.88294i 0.155852 + 0.195474i
\(625\) −29.8226 −1.19290
\(626\) −2.10212 1.21366i −0.0840178 0.0485077i
\(627\) −32.1904 + 10.9906i −1.28556 + 0.438921i
\(628\) 4.45691 2.57320i 0.177850 0.102682i
\(629\) 27.2876i 1.08803i
\(630\) 12.3319 + 19.8921i 0.491315 + 0.792518i
\(631\) 31.8644 18.3969i 1.26850 0.732369i 0.293797 0.955868i \(-0.405081\pi\)
0.974704 + 0.223499i \(0.0717478\pi\)
\(632\) −11.3067 −0.449756
\(633\) −1.10197 + 5.59157i −0.0437995 + 0.222245i
\(634\) 14.9963 25.9743i 0.595579 1.03157i
\(635\) −24.0170 13.8662i −0.953086 0.550264i
\(636\) 2.22356 2.54453i 0.0881697 0.100897i
\(637\) −3.47009 24.9992i −0.137490 0.990503i
\(638\) 0.901063i 0.0356734i
\(639\) −26.0643 10.6885i −1.03109 0.422832i
\(640\) −2.55364 1.47434i −0.100941 0.0582785i
\(641\) −0.705356 + 0.407237i −0.0278599 + 0.0160849i −0.513865 0.857871i \(-0.671787\pi\)
0.486005 + 0.873956i \(0.338454\pi\)
\(642\) −16.2248 + 18.5669i −0.640343 + 0.732777i
\(643\) 12.1386 + 21.0247i 0.478699 + 0.829132i 0.999702 0.0244235i \(-0.00777502\pi\)
−0.521002 + 0.853555i \(0.674442\pi\)
\(644\) 5.09749 2.27959i 0.200869 0.0898286i
\(645\) 30.4497 34.8452i 1.19896 1.37203i
\(646\) −15.0181 26.0120i −0.590877 1.02343i
\(647\) −18.8943 + 32.7258i −0.742810 + 1.28659i 0.208400 + 0.978044i \(0.433174\pi\)
−0.951211 + 0.308542i \(0.900159\pi\)
\(648\) −2.26792 + 8.70956i −0.0890925 + 0.342144i
\(649\) 19.6785i 0.772450i
\(650\) −4.49378 12.5408i −0.176261 0.491890i
\(651\) −22.8334 24.5327i −0.894911 0.961512i
\(652\) 19.6585 + 11.3498i 0.769887 + 0.444494i
\(653\) −0.550580 0.317878i −0.0215459 0.0124395i 0.489188 0.872178i \(-0.337293\pi\)
−0.510734 + 0.859739i \(0.670626\pi\)
\(654\) 5.42631 + 1.06940i 0.212185 + 0.0418170i
\(655\) 48.2238i 1.88426i
\(656\) −4.22640 + 2.44011i −0.165013 + 0.0952704i
\(657\) 21.6041 16.6989i 0.842856 0.651487i
\(658\) 2.11742 20.4695i 0.0825456 0.797983i
\(659\) 17.8316 10.2951i 0.694619 0.401038i −0.110721 0.993851i \(-0.535316\pi\)
0.805340 + 0.592813i \(0.201983\pi\)
\(660\) 4.90800 + 14.3751i 0.191044 + 0.559549i
\(661\) 12.1923 21.1177i 0.474226 0.821383i −0.525339 0.850893i \(-0.676061\pi\)
0.999564 + 0.0295104i \(0.00939480\pi\)
\(662\) 8.89204i 0.345599i
\(663\) 28.0906 4.23097i 1.09095 0.164317i
\(664\) 5.68231i 0.220516i
\(665\) 41.7251 + 30.2104i 1.61803 + 1.17151i
\(666\) −6.82820 + 16.6508i −0.264587 + 0.645204i
\(667\) −0.319711 0.553755i −0.0123792 0.0214415i
\(668\) 18.1638i 0.702780i
\(669\) −7.77995 + 39.4765i −0.300790 + 1.52625i
\(670\) 11.7666 + 20.3803i 0.454582 + 0.787359i
\(671\) 21.3961i 0.825985i
\(672\) −1.34400 + 4.38106i −0.0518458 + 0.169003i
\(673\) −10.0414 + 17.3922i −0.387068 + 0.670422i −0.992054 0.125815i \(-0.959846\pi\)
0.604985 + 0.796236i \(0.293179\pi\)
\(674\) −15.6796 + 27.1579i −0.603956 + 1.04608i
\(675\) 10.5814 16.0192i 0.407279 0.616580i
\(676\) −10.0414 + 8.25651i −0.386208 + 0.317558i
\(677\) −46.1229 −1.77265 −0.886324 0.463066i \(-0.846749\pi\)
−0.886324 + 0.463066i \(0.846749\pi\)
\(678\) −6.57755 19.2650i −0.252609 0.739870i
\(679\) −16.4865 + 22.7703i −0.632694 + 0.873845i
\(680\) −11.6161 + 6.70653i −0.445455 + 0.257184i
\(681\) 21.4419 24.5370i 0.821655 0.940262i
\(682\) −10.8757 18.8372i −0.416451 0.721314i
\(683\) 7.53356 + 13.0485i 0.288264 + 0.499287i 0.973395 0.229132i \(-0.0735887\pi\)
−0.685132 + 0.728419i \(0.740255\pi\)
\(684\) 2.65494 + 19.6304i 0.101514 + 0.750588i
\(685\) −12.0019 + 6.92930i −0.458569 + 0.264755i
\(686\) 13.7020 12.4602i 0.523144 0.475732i
\(687\) −21.3765 + 7.29846i −0.815565 + 0.278454i
\(688\) 9.06060 0.345432
\(689\) 5.36598 + 4.54838i 0.204428 + 0.173280i
\(690\) −8.11674 7.09288i −0.308999 0.270021i
\(691\) −9.91201 + 17.1681i −0.377071 + 0.653105i −0.990635 0.136540i \(-0.956402\pi\)
0.613564 + 0.789645i \(0.289735\pi\)
\(692\) −4.92782 + 8.53524i −0.187328 + 0.324461i
\(693\) 20.0639 12.4384i 0.762164 0.472497i
\(694\) 19.8288i 0.752691i
\(695\) 0.658168 + 1.13998i 0.0249657 + 0.0432419i
\(696\) 0.514846 + 0.101465i 0.0195152 + 0.00384601i
\(697\) 22.1993i 0.840859i
\(698\) −7.68781 13.3157i −0.290988 0.504006i
\(699\) −8.44242 24.7271i −0.319322 0.935263i
\(700\) 5.73283 7.91789i 0.216680 0.299268i
\(701\) 20.9647i 0.791826i 0.918288 + 0.395913i \(0.129572\pi\)
−0.918288 + 0.395913i \(0.870428\pi\)
\(702\) −18.1995 4.44741i −0.686895 0.167857i
\(703\) 39.6105i 1.49394i
\(704\) −1.48708 + 2.57570i −0.0560464 + 0.0970752i
\(705\) −37.5937 + 12.8354i −1.41586 + 0.483409i
\(706\) 13.9267 8.04057i 0.524138 0.302611i
\(707\) −29.1741 3.01785i −1.09720 0.113498i
\(708\) 11.2438 + 2.21591i 0.422570 + 0.0832791i
\(709\) 17.8618 10.3125i 0.670813 0.387294i −0.125572 0.992085i \(-0.540077\pi\)
0.796384 + 0.604791i \(0.206743\pi\)
\(710\) 27.6889i 1.03915i
\(711\) 26.8375 20.7441i 1.00649 0.777966i
\(712\) 12.8884 + 7.44115i 0.483015 + 0.278869i
\(713\) 13.3674 + 7.71770i 0.500615 + 0.289030i
\(714\) 14.2019 + 15.2589i 0.531494 + 0.571049i
\(715\) −29.7668 + 10.6664i −1.11322 + 0.398902i
\(716\) 6.41411i 0.239707i
\(717\) −11.8219 + 4.03627i −0.441495 + 0.150737i
\(718\) −1.66478 + 2.88348i −0.0621290 + 0.107611i
\(719\) 5.40916 + 9.36895i 0.201728 + 0.349403i 0.949085 0.315019i \(-0.102011\pi\)
−0.747357 + 0.664422i \(0.768678\pi\)
\(720\) 8.76625 1.18560i 0.326699 0.0441848i
\(721\) 27.0869 12.1133i 1.00877 0.451121i
\(722\) 12.3001 + 21.3044i 0.457762 + 0.792867i
\(723\) 4.93828 + 4.31535i 0.183657 + 0.160490i
\(724\) −8.06943 + 4.65888i −0.299898 + 0.173146i
\(725\) −0.969409 0.559689i −0.0360030 0.0207863i
\(726\) −3.53135 + 1.20569i −0.131061 + 0.0447473i
\(727\) 29.3823i 1.08973i −0.838524 0.544864i \(-0.816581\pi\)
0.838524 0.544864i \(-0.183419\pi\)
\(728\) −9.16101 2.66005i −0.339530 0.0985882i
\(729\) −10.5961 24.8339i −0.392448 0.919774i
\(730\) −23.2428 13.4192i −0.860255 0.496668i
\(731\) 20.6075 35.6933i 0.762197 1.32016i
\(732\) 12.2252 + 2.40931i 0.451856 + 0.0890508i
\(733\) −29.5041 −1.08976 −0.544880 0.838514i \(-0.683425\pi\)
−0.544880 + 0.838514i \(0.683425\pi\)
\(734\) 0.873061 0.504062i 0.0322253 0.0186053i
\(735\) −32.9185 13.9463i −1.21422 0.514418i
\(736\) 2.11055i 0.0777959i
\(737\) 20.5563 11.8682i 0.757202 0.437171i
\(738\) 5.55495 13.5459i 0.204481 0.498632i
\(739\) 16.1935 + 9.34935i 0.595689 + 0.343921i 0.767344 0.641236i \(-0.221578\pi\)
−0.171655 + 0.985157i \(0.554911\pi\)
\(740\) 17.6886 0.650247
\(741\) −40.7761 + 6.14164i −1.49795 + 0.225619i
\(742\) −0.531115 + 5.13438i −0.0194978 + 0.188489i
\(743\) −9.61724 + 16.6575i −0.352822 + 0.611106i −0.986743 0.162292i \(-0.948111\pi\)
0.633921 + 0.773398i \(0.281445\pi\)
\(744\) −11.9878 + 4.09293i −0.439494 + 0.150054i
\(745\) −32.9407 + 19.0183i −1.20685 + 0.696777i
\(746\) −14.4072 −0.527484
\(747\) −10.4252 13.4875i −0.381438 0.493482i
\(748\) 6.76446 + 11.7164i 0.247333 + 0.428394i
\(749\) 3.87544 37.4645i 0.141605 1.36892i
\(750\) 6.54046 + 1.28898i 0.238824 + 0.0470668i
\(751\) −3.33075 + 5.76902i −0.121541 + 0.210515i −0.920375 0.391036i \(-0.872117\pi\)
0.798835 + 0.601551i \(0.205450\pi\)
\(752\) −6.73596 3.88901i −0.245635 0.141817i
\(753\) 2.94344 + 2.57214i 0.107265 + 0.0937342i
\(754\) −0.195047 + 1.07480i −0.00710320 + 0.0391418i
\(755\) −31.1302 −1.13294
\(756\) −4.84772 12.8647i −0.176310 0.467883i
\(757\) 16.3979 28.4019i 0.595990 1.03229i −0.397416 0.917638i \(-0.630093\pi\)
0.993406 0.114647i \(-0.0365736\pi\)
\(758\) 26.2238 15.1403i 0.952493 0.549922i
\(759\) −7.15415 + 8.18685i −0.259679 + 0.297164i
\(760\) 16.8618 9.73515i 0.611641 0.353131i
\(761\) −35.2854 + 20.3721i −1.27910 + 0.738486i −0.976682 0.214690i \(-0.931126\pi\)
−0.302414 + 0.953177i \(0.597792\pi\)
\(762\) 12.2664 + 10.7191i 0.444364 + 0.388311i
\(763\) −7.71221 + 3.44890i −0.279201 + 0.124858i
\(764\) −19.2376 11.1068i −0.695992 0.401831i
\(765\) 15.2675 37.2303i 0.551998 1.34606i
\(766\) 18.7910i 0.678946i
\(767\) −4.25968 + 23.4728i −0.153808 + 0.847552i
\(768\) 1.30424 + 1.13972i 0.0470627 + 0.0411261i
\(769\) 3.08568 5.34455i 0.111272 0.192729i −0.805011 0.593260i \(-0.797841\pi\)
0.916284 + 0.400530i \(0.131174\pi\)
\(770\) −18.7939 13.6074i −0.677285 0.490378i
\(771\) 3.83525 19.4606i 0.138123 0.700856i
\(772\) 16.2546i 0.585015i
\(773\) 9.47547 5.47067i 0.340809 0.196766i −0.319821 0.947478i \(-0.603623\pi\)
0.660630 + 0.750712i \(0.270289\pi\)
\(774\) −21.5062 + 16.6233i −0.773025 + 0.597511i