Properties

Label 177.3.h.a.5.2
Level $177$
Weight $3$
Character 177.5
Analytic conductor $4.823$
Analytic rank $0$
Dimension $1064$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 177.h (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(1064\)
Relative dimension: \(38\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) \(=\) 177.5
Dual form 177.3.h.a.71.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.21095 + 3.59398i) q^{2} +(-2.84830 + 0.941900i) q^{3} +(-8.26594 - 6.28360i) q^{4} +(1.37514 + 0.547907i) q^{5} +(0.0639885 - 11.3773i) q^{6} +(8.82700 - 4.08381i) q^{7} +(20.0368 - 13.5853i) q^{8} +(7.22565 - 5.36563i) q^{9} +O(q^{10})\) \(q+(-1.21095 + 3.59398i) q^{2} +(-2.84830 + 0.941900i) q^{3} +(-8.26594 - 6.28360i) q^{4} +(1.37514 + 0.547907i) q^{5} +(0.0639885 - 11.3773i) q^{6} +(8.82700 - 4.08381i) q^{7} +(20.0368 - 13.5853i) q^{8} +(7.22565 - 5.36563i) q^{9} +(-3.63441 + 4.27875i) q^{10} +(-18.6956 - 5.19080i) q^{11} +(29.4624 + 10.1119i) q^{12} +(3.26883 - 6.16566i) q^{13} +(3.98804 + 36.6694i) q^{14} +(-4.43290 - 0.265357i) q^{15} +(13.4505 + 48.4443i) q^{16} +(2.10461 - 4.54905i) q^{17} +(10.5341 + 32.4664i) q^{18} +(1.65797 - 0.364947i) q^{19} +(-7.92402 - 13.1698i) q^{20} +(-21.2954 + 19.9461i) q^{21} +(41.2951 - 60.9057i) q^{22} +(27.8007 + 4.55769i) q^{23} +(-44.2748 + 57.5676i) q^{24} +(-16.5591 - 15.6856i) q^{25} +(18.2009 + 19.2145i) q^{26} +(-15.5269 + 22.0888i) q^{27} +(-98.6245 - 21.7089i) q^{28} +(-8.47399 - 25.1499i) q^{29} +(6.32173 - 15.6104i) q^{30} +(27.9656 + 6.15569i) q^{31} +(-93.7056 - 5.08057i) q^{32} +(58.1398 - 2.82440i) q^{33} +(13.8006 + 13.0726i) q^{34} +(14.3759 - 0.779441i) q^{35} +(-93.4423 - 1.05111i) q^{36} +(25.3512 - 37.3903i) q^{37} +(-0.696113 + 6.40066i) q^{38} +(-3.50317 + 20.6406i) q^{39} +(34.9969 - 7.70340i) q^{40} +(60.8354 - 9.97345i) q^{41} +(-45.8981 - 100.689i) q^{42} +(6.18562 + 22.2786i) q^{43} +(121.919 + 160.382i) q^{44} +(12.8762 - 3.41953i) q^{45} +(-50.0456 + 94.3961i) q^{46} +(-52.5556 + 20.9401i) q^{47} +(-83.9408 - 125.315i) q^{48} +(29.5166 - 34.7496i) q^{49} +(76.4260 - 40.5185i) q^{50} +(-1.70982 + 14.9394i) q^{51} +(-65.7625 + 30.4250i) q^{52} +(5.17224 - 4.39334i) q^{53} +(-60.5843 - 82.5521i) q^{54} +(-22.8650 - 17.3815i) q^{55} +(121.385 - 201.743i) q^{56} +(-4.37866 + 2.60112i) q^{57} +100.650 q^{58} +(15.5262 - 56.9205i) q^{59} +(34.9747 + 30.0480i) q^{60} +(-11.5516 - 3.89218i) q^{61} +(-55.9885 + 93.0536i) q^{62} +(41.8686 - 76.8706i) q^{63} +(57.2951 - 143.800i) q^{64} +(7.87332 - 6.68766i) q^{65} +(-60.2538 + 212.374i) q^{66} +(-67.8512 - 100.073i) q^{67} +(-45.9810 + 24.3776i) q^{68} +(-83.4776 + 13.2038i) q^{69} +(-14.6073 + 52.6108i) q^{70} +(-52.6842 + 20.9913i) q^{71} +(71.8851 - 205.672i) q^{72} +(101.193 - 11.0054i) q^{73} +(103.681 + 136.390i) q^{74} +(61.9395 + 29.0803i) q^{75} +(-15.9979 - 7.40140i) q^{76} +(-186.224 + 30.5299i) q^{77} +(-69.9398 - 37.5851i) q^{78} +(62.9353 - 37.8669i) q^{79} +(-8.04662 + 73.9875i) q^{80} +(23.4200 - 77.5403i) q^{81} +(-37.8244 + 230.719i) q^{82} +(5.99458 - 0.325017i) q^{83} +(301.360 - 31.0610i) q^{84} +(5.38660 - 5.10246i) q^{85} +(-87.5593 - 4.74733i) q^{86} +(47.8252 + 63.6529i) q^{87} +(-445.117 + 149.977i) q^{88} +(-12.5131 - 37.1377i) q^{89} +(-3.30272 + 50.4176i) q^{90} +(3.67458 - 67.7736i) q^{91} +(-201.160 - 212.362i) q^{92} +(-85.4525 + 8.80753i) q^{93} +(-11.6158 - 214.242i) q^{94} +(2.47991 + 0.406560i) q^{95} +(271.687 - 73.7903i) q^{96} +(23.2179 + 2.52510i) q^{97} +(89.1462 + 148.162i) q^{98} +(-162.939 + 62.8066i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} + O(q^{10}) \) \( 1064q - 29q^{3} + 18q^{4} - 21q^{6} - 46q^{7} - 49q^{9} - 94q^{10} - 29q^{12} - 54q^{13} - 12q^{15} - 158q^{16} - 27q^{18} - 30q^{19} - 18q^{21} - 142q^{22} - 23q^{24} + 108q^{25} - 32q^{27} - 70q^{28} - 131q^{30} - 18q^{31} + 17q^{33} + 90q^{34} + 67q^{36} - 170q^{37} - 91q^{39} - 2q^{40} - 43q^{42} - 222q^{43} - 461q^{45} - 54q^{46} - 1645q^{48} - 300q^{49} - 893q^{51} - 66q^{52} - 859q^{54} + 170q^{55} - 27q^{57} - 36q^{58} + 510q^{60} - 70q^{61} + 610q^{63} - 106q^{64} + 1619q^{66} - 182q^{67} + 1487q^{69} - 206q^{70} + 2241q^{72} + 134q^{73} + 542q^{75} + 246q^{76} - 273q^{78} - 122q^{79} + 127q^{81} + 122q^{82} - 329q^{84} - 6q^{85} + 54q^{87} + 38q^{88} + 347q^{90} + 274q^{91} - 483q^{93} - 826q^{94} + 693q^{96} - 474q^{97} - 523q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{3}{29}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.21095 + 3.59398i −0.605477 + 1.79699i −0.00148870 + 0.999999i \(0.500474\pi\)
−0.603988 + 0.796993i \(0.706423\pi\)
\(3\) −2.84830 + 0.941900i −0.949434 + 0.313967i
\(4\) −8.26594 6.28360i −2.06648 1.57090i
\(5\) 1.37514 + 0.547907i 0.275029 + 0.109581i 0.503575 0.863952i \(-0.332018\pi\)
−0.228546 + 0.973533i \(0.573397\pi\)
\(6\) 0.0639885 11.3773i 0.0106647 1.89622i
\(7\) 8.82700 4.08381i 1.26100 0.583401i 0.328477 0.944512i \(-0.393465\pi\)
0.932523 + 0.361111i \(0.117602\pi\)
\(8\) 20.0368 13.5853i 2.50460 1.69816i
\(9\) 7.22565 5.36563i 0.802850 0.596181i
\(10\) −3.63441 + 4.27875i −0.363441 + 0.427875i
\(11\) −18.6956 5.19080i −1.69960 0.471891i −0.723698 0.690117i \(-0.757559\pi\)
−0.975898 + 0.218226i \(0.929973\pi\)
\(12\) 29.4624 + 10.1119i 2.45520 + 0.842659i
\(13\) 3.26883 6.16566i 0.251448 0.474282i −0.725368 0.688361i \(-0.758330\pi\)
0.976816 + 0.214080i \(0.0686752\pi\)
\(14\) 3.98804 + 36.6694i 0.284860 + 2.61924i
\(15\) −4.43290 0.265357i −0.295527 0.0176905i
\(16\) 13.4505 + 48.4443i 0.840656 + 3.02777i
\(17\) 2.10461 4.54905i 0.123801 0.267591i −0.835759 0.549097i \(-0.814972\pi\)
0.959559 + 0.281506i \(0.0908339\pi\)
\(18\) 10.5341 + 32.4664i 0.585226 + 1.80369i
\(19\) 1.65797 0.364947i 0.0872616 0.0192077i −0.171125 0.985249i \(-0.554740\pi\)
0.258387 + 0.966042i \(0.416809\pi\)
\(20\) −7.92402 13.1698i −0.396201 0.658491i
\(21\) −21.2954 + 19.9461i −1.01407 + 0.949813i
\(22\) 41.2951 60.9057i 1.87705 2.76844i
\(23\) 27.8007 + 4.55769i 1.20873 + 0.198160i 0.732255 0.681030i \(-0.238468\pi\)
0.476470 + 0.879191i \(0.341916\pi\)
\(24\) −44.2748 + 57.5676i −1.84478 + 2.39865i
\(25\) −16.5591 15.6856i −0.662363 0.627423i
\(26\) 18.2009 + 19.2145i 0.700035 + 0.739017i
\(27\) −15.5269 + 22.0888i −0.575072 + 0.818103i
\(28\) −98.6245 21.7089i −3.52230 0.775317i
\(29\) −8.47399 25.1499i −0.292207 0.867238i −0.988731 0.149705i \(-0.952168\pi\)
0.696524 0.717533i \(-0.254729\pi\)
\(30\) 6.32173 15.6104i 0.210724 0.520348i
\(31\) 27.9656 + 6.15569i 0.902116 + 0.198571i 0.641727 0.766933i \(-0.278218\pi\)
0.260389 + 0.965504i \(0.416149\pi\)
\(32\) −93.7056 5.08057i −2.92830 0.158768i
\(33\) 58.1398 2.82440i 1.76181 0.0855878i
\(34\) 13.8006 + 13.0726i 0.405900 + 0.384489i
\(35\) 14.3759 0.779441i 0.410741 0.0222697i
\(36\) −93.4423 1.05111i −2.59562 0.0291975i
\(37\) 25.3512 37.3903i 0.685168 1.01055i −0.312983 0.949759i \(-0.601328\pi\)
0.998151 0.0607885i \(-0.0193615\pi\)
\(38\) −0.696113 + 6.40066i −0.0183188 + 0.168438i
\(39\) −3.50317 + 20.6406i −0.0898248 + 0.529246i
\(40\) 34.9969 7.70340i 0.874922 0.192585i
\(41\) 60.8354 9.97345i 1.48379 0.243255i 0.635217 0.772334i \(-0.280911\pi\)
0.848572 + 0.529079i \(0.177463\pi\)
\(42\) −45.8981 100.689i −1.09281 2.39736i
\(43\) 6.18562 + 22.2786i 0.143852 + 0.518106i 0.999999 + 0.00137495i \(0.000437660\pi\)
−0.856148 + 0.516732i \(0.827149\pi\)
\(44\) 121.919 + 160.382i 2.77090 + 3.64505i
\(45\) 12.8762 3.41953i 0.286137 0.0759896i
\(46\) −50.0456 + 94.3961i −1.08795 + 2.05209i
\(47\) −52.5556 + 20.9401i −1.11821 + 0.445534i −0.854699 0.519124i \(-0.826258\pi\)
−0.263506 + 0.964658i \(0.584879\pi\)
\(48\) −83.9408 125.315i −1.74877 2.61073i
\(49\) 29.5166 34.7496i 0.602379 0.709175i
\(50\) 76.4260 40.5185i 1.52852 0.810370i
\(51\) −1.70982 + 14.9394i −0.0335260 + 0.292929i
\(52\) −65.7625 + 30.4250i −1.26466 + 0.585096i
\(53\) 5.17224 4.39334i 0.0975894 0.0828932i −0.597263 0.802045i \(-0.703745\pi\)
0.694853 + 0.719152i \(0.255469\pi\)
\(54\) −60.5843 82.5521i −1.12193 1.52874i
\(55\) −22.8650 17.3815i −0.415727 0.316028i
\(56\) 121.385 201.743i 2.16759 3.60256i
\(57\) −4.37866 + 2.60112i −0.0768186 + 0.0456337i
\(58\) 100.650 1.73534
\(59\) 15.5262 56.9205i 0.263155 0.964753i
\(60\) 34.9747 + 30.0480i 0.582911 + 0.500800i
\(61\) −11.5516 3.89218i −0.189370 0.0638062i 0.223019 0.974814i \(-0.428409\pi\)
−0.412389 + 0.911008i \(0.635305\pi\)
\(62\) −55.9885 + 93.0536i −0.903040 + 1.50086i
\(63\) 41.8686 76.8706i 0.664581 1.22017i
\(64\) 57.2951 143.800i 0.895236 2.24687i
\(65\) 7.87332 6.68766i 0.121128 0.102887i
\(66\) −60.2538 + 212.374i −0.912936 + 3.21778i
\(67\) −67.8512 100.073i −1.01270 1.49363i −0.863197 0.504868i \(-0.831541\pi\)
−0.149508 0.988761i \(-0.547769\pi\)
\(68\) −45.9810 + 24.3776i −0.676191 + 0.358494i
\(69\) −83.4776 + 13.2038i −1.20982 + 0.191359i
\(70\) −14.6073 + 52.6108i −0.208676 + 0.751582i
\(71\) −52.6842 + 20.9913i −0.742031 + 0.295652i −0.710353 0.703846i \(-0.751464\pi\)
−0.0316782 + 0.999498i \(0.510085\pi\)
\(72\) 71.8851 205.672i 0.998404 2.85656i
\(73\) 101.193 11.0054i 1.38621 0.150759i 0.615596 0.788062i \(-0.288916\pi\)
0.770613 + 0.637303i \(0.219950\pi\)
\(74\) 103.681 + 136.390i 1.40109 + 1.84310i
\(75\) 61.9395 + 29.0803i 0.825860 + 0.387737i
\(76\) −15.9979 7.40140i −0.210498 0.0973869i
\(77\) −186.224 + 30.5299i −2.41849 + 0.396492i
\(78\) −69.9398 37.5851i −0.896664 0.481861i
\(79\) 62.9353 37.8669i 0.796649 0.479328i −0.0581368 0.998309i \(-0.518516\pi\)
0.854786 + 0.518981i \(0.173688\pi\)
\(80\) −8.04662 + 73.9875i −0.100583 + 0.924843i
\(81\) 23.4200 77.5403i 0.289135 0.957288i
\(82\) −37.8244 + 230.719i −0.461273 + 2.81364i
\(83\) 5.99458 0.325017i 0.0722238 0.00391586i −0.0179916 0.999838i \(-0.505727\pi\)
0.0902154 + 0.995922i \(0.471244\pi\)
\(84\) 301.360 31.0610i 3.58762 0.369773i
\(85\) 5.38660 5.10246i 0.0633718 0.0600289i
\(86\) −87.5593 4.74733i −1.01813 0.0552015i
\(87\) 47.8252 + 63.6529i 0.549715 + 0.731642i
\(88\) −445.117 + 149.977i −5.05815 + 1.70429i
\(89\) −12.5131 37.1377i −0.140597 0.417278i 0.854102 0.520106i \(-0.174107\pi\)
−0.994699 + 0.102828i \(0.967211\pi\)
\(90\) −3.30272 + 50.4176i −0.0366968 + 0.560196i
\(91\) 3.67458 67.7736i 0.0403800 0.744765i
\(92\) −201.160 212.362i −2.18652 2.30828i
\(93\) −85.4525 + 8.80753i −0.918844 + 0.0947046i
\(94\) −11.6158 214.242i −0.123573 2.27917i
\(95\) 2.47991 + 0.406560i 0.0261043 + 0.00427958i
\(96\) 271.687 73.7903i 2.83008 0.768649i
\(97\) 23.2179 + 2.52510i 0.239360 + 0.0260320i 0.227013 0.973892i \(-0.427104\pi\)
0.0123473 + 0.999924i \(0.496070\pi\)
\(98\) 89.1462 + 148.162i 0.909655 + 1.51186i
\(99\) −162.939 + 62.8066i −1.64585 + 0.634410i
\(100\) 38.3143 + 233.707i 0.383143 + 2.33707i
\(101\) 7.42515 16.0492i 0.0735163 0.158903i −0.867333 0.497729i \(-0.834168\pi\)
0.940849 + 0.338826i \(0.110030\pi\)
\(102\) −51.6214 24.2360i −0.506092 0.237608i
\(103\) −64.0466 + 48.6870i −0.621812 + 0.472689i −0.868021 0.496528i \(-0.834608\pi\)
0.246209 + 0.969217i \(0.420815\pi\)
\(104\) −18.2654 167.948i −0.175629 1.61488i
\(105\) −40.2129 + 15.7608i −0.382980 + 0.150103i
\(106\) 9.52625 + 23.9091i 0.0898703 + 0.225557i
\(107\) −127.054 35.2764i −1.18742 0.329686i −0.383002 0.923747i \(-0.625110\pi\)
−0.804420 + 0.594061i \(0.797524\pi\)
\(108\) 267.142 85.0194i 2.47354 0.787217i
\(109\) 51.0390 + 96.2698i 0.468248 + 0.883209i 0.999355 + 0.0359044i \(0.0114312\pi\)
−0.531108 + 0.847304i \(0.678224\pi\)
\(110\) 90.1574 61.1282i 0.819613 0.555711i
\(111\) −36.9900 + 130.377i −0.333244 + 1.17457i
\(112\) 316.565 + 372.689i 2.82647 + 3.32758i
\(113\) −0.585391 0.233241i −0.00518045 0.00206408i 0.367546 0.930005i \(-0.380198\pi\)
−0.372727 + 0.927941i \(0.621577\pi\)
\(114\) −4.04604 18.8867i −0.0354916 0.165673i
\(115\) 35.7327 + 21.4997i 0.310719 + 0.186954i
\(116\) −87.9865 + 261.135i −0.758505 + 2.25116i
\(117\) −9.46329 62.0903i −0.0808828 0.530686i
\(118\) 185.770 + 124.729i 1.57432 + 1.05702i
\(119\) 48.7493i 0.409658i
\(120\) −92.4259 + 54.9052i −0.770216 + 0.457543i
\(121\) 218.900 + 131.708i 1.80909 + 1.08849i
\(122\) 27.9769 36.8029i 0.229319 0.301663i
\(123\) −163.883 + 85.7082i −1.33239 + 0.696815i
\(124\) −192.482 226.607i −1.55227 1.82748i
\(125\) −29.7157 64.2294i −0.237725 0.513835i
\(126\) 225.571 + 243.562i 1.79024 + 1.93303i
\(127\) 12.8941 + 24.3208i 0.101528 + 0.191502i 0.929072 0.369898i \(-0.120607\pi\)
−0.827544 + 0.561401i \(0.810263\pi\)
\(128\) 161.338 + 137.042i 1.26045 + 1.07064i
\(129\) −38.6027 57.6299i −0.299246 0.446743i
\(130\) 14.5011 + 36.3950i 0.111547 + 0.279962i
\(131\) 200.032 + 106.050i 1.52697 + 0.809546i 0.999206 0.0398483i \(-0.0126875\pi\)
0.527759 + 0.849394i \(0.323032\pi\)
\(132\) −498.327 341.981i −3.77521 2.59077i
\(133\) 13.1445 9.99222i 0.0988311 0.0751295i
\(134\) 441.826 122.672i 3.29721 0.915465i
\(135\) −33.4544 + 21.8679i −0.247810 + 0.161985i
\(136\) −19.6304 119.740i −0.144341 0.880440i
\(137\) −40.9956 186.245i −0.299238 1.35945i −0.850875 0.525368i \(-0.823928\pi\)
0.551637 0.834084i \(-0.314003\pi\)
\(138\) 53.6334 316.006i 0.388648 2.28990i
\(139\) −193.889 21.0867i −1.39488 0.151703i −0.620395 0.784290i \(-0.713028\pi\)
−0.774490 + 0.632587i \(0.781993\pi\)
\(140\) −123.728 83.8899i −0.883774 0.599214i
\(141\) 129.971 109.146i 0.921779 0.774084i
\(142\) −11.6443 214.766i −0.0820018 1.51243i
\(143\) −93.1173 + 98.3027i −0.651170 + 0.687432i
\(144\) 357.123 + 277.871i 2.48002 + 1.92966i
\(145\) 2.12686 39.2277i 0.0146680 0.270536i
\(146\) −82.9871 + 377.014i −0.568405 + 2.58229i
\(147\) −51.3414 + 126.779i −0.349261 + 0.862442i
\(148\) −444.497 + 149.769i −3.00336 + 1.01195i
\(149\) 28.7348 130.543i 0.192851 0.876130i −0.776436 0.630196i \(-0.782974\pi\)
0.969287 0.245934i \(-0.0790946\pi\)
\(150\) −179.520 + 187.395i −1.19680 + 1.24930i
\(151\) −111.257 + 105.388i −0.736801 + 0.697935i −0.960981 0.276613i \(-0.910788\pi\)
0.224181 + 0.974548i \(0.428029\pi\)
\(152\) 28.2625 29.8363i 0.185937 0.196292i
\(153\) −9.20132 44.1624i −0.0601393 0.288643i
\(154\) 115.785 706.256i 0.751849 4.58608i
\(155\) 35.0839 + 23.7875i 0.226348 + 0.153468i
\(156\) 158.654 148.601i 1.01701 0.952572i
\(157\) 49.8740 30.0082i 0.317669 0.191135i −0.347785 0.937574i \(-0.613066\pi\)
0.665453 + 0.746440i \(0.268238\pi\)
\(158\) 59.8813 + 272.043i 0.378996 + 1.72179i
\(159\) −10.5940 + 17.3853i −0.0666290 + 0.109341i
\(160\) −126.075 58.3285i −0.787969 0.364553i
\(161\) 264.009 73.3018i 1.63981 0.455291i
\(162\) 250.318 + 178.069i 1.54517 + 1.09919i
\(163\) 174.181 18.9433i 1.06859 0.116216i 0.443120 0.896462i \(-0.353872\pi\)
0.625473 + 0.780246i \(0.284906\pi\)
\(164\) −565.531 299.825i −3.44836 1.82820i
\(165\) 81.4981 + 27.9713i 0.493928 + 0.169523i
\(166\) −6.09105 + 21.9380i −0.0366931 + 0.132157i
\(167\) −27.5354 23.3887i −0.164882 0.140052i 0.561147 0.827716i \(-0.310360\pi\)
−0.726029 + 0.687664i \(0.758636\pi\)
\(168\) −155.719 + 688.959i −0.926898 + 4.10094i
\(169\) 67.5104 + 99.5704i 0.399470 + 0.589174i
\(170\) 11.8152 + 25.5382i 0.0695013 + 0.150225i
\(171\) 10.0217 11.5330i 0.0586067 0.0674447i
\(172\) 88.8598 223.021i 0.516627 1.29664i
\(173\) −51.6308 + 67.9192i −0.298444 + 0.392597i −0.920734 0.390190i \(-0.872409\pi\)
0.622290 + 0.782787i \(0.286202\pi\)
\(174\) −286.681 + 94.8022i −1.64759 + 0.544840i
\(175\) −210.224 70.8326i −1.20128 0.404758i
\(176\) 975.512i 5.54268i
\(177\) 9.39021 + 176.751i 0.0530520 + 0.998592i
\(178\) 148.625 0.834973
\(179\) −64.1244 + 190.314i −0.358237 + 1.06321i 0.605383 + 0.795934i \(0.293020\pi\)
−0.963620 + 0.267275i \(0.913877\pi\)
\(180\) −127.921 52.6431i −0.710670 0.292462i
\(181\) −233.778 177.714i −1.29159 0.981844i −0.999677 0.0253996i \(-0.991914\pi\)
−0.291916 0.956444i \(-0.594293\pi\)
\(182\) 239.127 + 95.2771i 1.31389 + 0.523500i
\(183\) 36.5684 + 0.205668i 0.199827 + 0.00112387i
\(184\) 618.953 286.358i 3.36388 1.55629i
\(185\) 55.3480 37.5268i 0.299178 0.202848i
\(186\) 71.8249 317.780i 0.386155 1.70850i
\(187\) −62.9601 + 74.1223i −0.336685 + 0.396376i
\(188\) 566.001 + 157.149i 3.01064 + 0.835901i
\(189\) −46.8500 + 258.387i −0.247883 + 1.36713i
\(190\) −4.46422 + 8.42042i −0.0234959 + 0.0443180i
\(191\) 4.70536 + 43.2651i 0.0246354 + 0.226519i 0.999983 + 0.00584426i \(0.00186030\pi\)
−0.975348 + 0.220674i \(0.929174\pi\)
\(192\) −27.7486 + 463.552i −0.144524 + 2.41433i
\(193\) −53.6291 193.155i −0.277871 1.00080i −0.962360 0.271778i \(-0.912388\pi\)
0.684489 0.729023i \(-0.260025\pi\)
\(194\) −37.1910 + 80.3871i −0.191706 + 0.414366i
\(195\) −16.1265 + 26.4644i −0.0826999 + 0.135715i
\(196\) −462.335 + 101.768i −2.35885 + 0.519222i
\(197\) 28.2061 + 46.8790i 0.143178 + 0.237964i 0.920145 0.391577i \(-0.128070\pi\)
−0.776967 + 0.629541i \(0.783243\pi\)
\(198\) −28.4139 661.658i −0.143504 3.34171i
\(199\) −19.9121 + 29.3682i −0.100061 + 0.147579i −0.874424 0.485163i \(-0.838760\pi\)
0.774363 + 0.632742i \(0.218071\pi\)
\(200\) −544.883 89.3290i −2.72442 0.446645i
\(201\) 287.520 + 221.129i 1.43045 + 1.10015i
\(202\) 48.6890 + 46.1207i 0.241035 + 0.228320i
\(203\) −177.507 187.392i −0.874420 0.923114i
\(204\) 108.006 112.744i 0.529444 0.552668i
\(205\) 89.1219 + 19.6172i 0.434741 + 0.0956937i
\(206\) −97.4227 289.140i −0.472926 1.40359i
\(207\) 225.333 116.236i 1.08856 0.561527i
\(208\) 342.659 + 75.4249i 1.64740 + 0.362620i
\(209\) −32.8911 1.78330i −0.157374 0.00853254i
\(210\) −7.94808 163.610i −0.0378480 0.779095i
\(211\) 251.313 + 238.057i 1.19106 + 1.12823i 0.988854 + 0.148886i \(0.0475689\pi\)
0.202204 + 0.979344i \(0.435190\pi\)
\(212\) −70.3594 + 3.81478i −0.331884 + 0.0179942i
\(213\) 130.289 109.413i 0.611684 0.513675i
\(214\) 280.640 413.912i 1.31140 1.93417i
\(215\) −3.70048 + 34.0254i −0.0172116 + 0.158258i
\(216\) −11.0276 + 653.525i −0.0510537 + 3.02558i
\(217\) 271.991 59.8697i 1.25341 0.275897i
\(218\) −407.798 + 66.8551i −1.87063 + 0.306675i
\(219\) −277.863 + 126.661i −1.26878 + 0.578360i
\(220\) 79.7821 + 287.349i 0.362646 + 1.30613i
\(221\) −21.1683 27.8464i −0.0957840 0.126002i
\(222\) −423.780 290.822i −1.90892 1.31001i
\(223\) −186.939 + 352.605i −0.838293 + 1.58119i −0.0247417 + 0.999694i \(0.507876\pi\)
−0.813551 + 0.581494i \(0.802469\pi\)
\(224\) −847.888 + 337.829i −3.78521 + 1.50817i
\(225\) −203.813 24.4886i −0.905836 0.108838i
\(226\) 1.54715 1.82144i 0.00684578 0.00805947i
\(227\) 202.089 107.141i 0.890262 0.471987i 0.0405157 0.999179i \(-0.487100\pi\)
0.849746 + 0.527192i \(0.176755\pi\)
\(228\) 52.5382 + 6.01303i 0.230431 + 0.0263729i
\(229\) −76.9401 + 35.5963i −0.335983 + 0.155442i −0.580625 0.814171i \(-0.697192\pi\)
0.244642 + 0.969614i \(0.421330\pi\)
\(230\) −120.540 + 102.388i −0.524088 + 0.445164i
\(231\) 501.666 262.363i 2.17171 1.13577i
\(232\) −511.459 388.801i −2.20457 1.67587i
\(233\) −102.261 + 169.959i −0.438889 + 0.729440i −0.994805 0.101799i \(-0.967540\pi\)
0.555916 + 0.831239i \(0.312368\pi\)
\(234\) 234.611 + 41.1775i 1.00261 + 0.175972i
\(235\) −83.7448 −0.356361
\(236\) −486.004 + 372.941i −2.05934 + 1.58026i
\(237\) −143.592 + 167.135i −0.605873 + 0.705212i
\(238\) 175.204 + 59.0331i 0.736151 + 0.248038i
\(239\) 37.7541 62.7478i 0.157967 0.262543i −0.767758 0.640739i \(-0.778628\pi\)
0.925725 + 0.378196i \(0.123456\pi\)
\(240\) −46.7696 218.318i −0.194873 0.909657i
\(241\) 2.11333 5.30405i 0.00876899 0.0220085i −0.924527 0.381116i \(-0.875540\pi\)
0.933296 + 0.359108i \(0.116919\pi\)
\(242\) −738.433 + 627.230i −3.05138 + 2.59186i
\(243\) 6.32814 + 242.918i 0.0260417 + 0.999661i
\(244\) 71.0277 + 104.758i 0.291097 + 0.429336i
\(245\) 59.6290 31.6133i 0.243384 0.129034i
\(246\) −109.579 692.783i −0.445442 2.81619i
\(247\) 3.16948 11.4154i 0.0128319 0.0462164i
\(248\) 643.967 256.580i 2.59664 1.03460i
\(249\) −16.7682 + 6.57204i −0.0673423 + 0.0263937i
\(250\) 266.824 29.0188i 1.06729 0.116075i
\(251\) −46.0307 60.5524i −0.183389 0.241245i 0.695207 0.718809i \(-0.255313\pi\)
−0.878596 + 0.477565i \(0.841520\pi\)
\(252\) −829.108 + 372.322i −3.29011 + 1.47747i
\(253\) −496.091 229.516i −1.96083 0.907179i
\(254\) −103.023 + 16.8897i −0.405601 + 0.0664950i
\(255\) −10.5367 + 19.6070i −0.0413202 + 0.0768901i
\(256\) −157.353 + 94.6760i −0.614659 + 0.369828i
\(257\) 22.3871 205.846i 0.0871094 0.800958i −0.866350 0.499437i \(-0.833540\pi\)
0.953460 0.301521i \(-0.0974943\pi\)
\(258\) 253.867 68.9504i 0.983981 0.267249i
\(259\) 71.0807 433.573i 0.274443 1.67403i
\(260\) −107.103 + 5.80695i −0.411935 + 0.0223344i
\(261\) −196.175 136.256i −0.751629 0.522054i
\(262\) −623.374 + 590.491i −2.37929 + 2.25378i
\(263\) 149.179 + 8.08826i 0.567221 + 0.0307538i 0.335520 0.942033i \(-0.391088\pi\)
0.231701 + 0.972787i \(0.425571\pi\)
\(264\) 1126.56 846.437i 4.26729 3.20620i
\(265\) 9.51972 3.20757i 0.0359235 0.0121040i
\(266\) 19.9944 + 59.3414i 0.0751671 + 0.223088i
\(267\) 70.6212 + 93.9932i 0.264499 + 0.352035i
\(268\) −67.9654 + 1253.55i −0.253602 + 4.67742i
\(269\) 173.473 + 183.133i 0.644882 + 0.680794i 0.963689 0.267026i \(-0.0860410\pi\)
−0.318807 + 0.947819i \(0.603282\pi\)
\(270\) −38.0813 146.716i −0.141042 0.543391i
\(271\) 2.35037 + 43.3500i 0.00867295 + 0.159963i 0.999662 + 0.0260166i \(0.00828228\pi\)
−0.990989 + 0.133947i \(0.957235\pi\)
\(272\) 248.683 + 40.7696i 0.914277 + 0.149888i
\(273\) 53.3697 + 196.501i 0.195493 + 0.719783i
\(274\) 719.005 + 78.1966i 2.62411 + 0.285389i
\(275\) 228.160 + 379.206i 0.829674 + 1.37893i
\(276\) 772.988 + 415.399i 2.80068 + 1.50507i
\(277\) −13.6918 83.5164i −0.0494289 0.301503i 0.950529 0.310635i \(-0.100542\pi\)
−0.999958 + 0.00913156i \(0.997093\pi\)
\(278\) 310.576 671.299i 1.11718 2.41474i
\(279\) 235.099 105.574i 0.842647 0.378402i
\(280\) 277.458 210.918i 0.990923 0.753280i
\(281\) 2.48289 + 22.8298i 0.00883592 + 0.0812450i 0.997726 0.0674062i \(-0.0214724\pi\)
−0.988890 + 0.148651i \(0.952507\pi\)
\(282\) 234.880 + 599.284i 0.832907 + 2.12512i
\(283\) −99.2474 249.092i −0.350697 0.880184i −0.993467 0.114124i \(-0.963594\pi\)
0.642769 0.766060i \(-0.277785\pi\)
\(284\) 567.385 + 157.534i 1.99784 + 0.554696i
\(285\) −7.44646 + 1.17782i −0.0261279 + 0.00413270i
\(286\) −240.538 453.702i −0.841041 1.58637i
\(287\) 496.264 336.475i 1.72914 1.17239i
\(288\) −704.344 + 466.079i −2.44564 + 1.61833i
\(289\) 170.830 + 201.117i 0.591108 + 0.695906i
\(290\) 138.408 + 55.1468i 0.477269 + 0.190162i
\(291\) −68.5101 + 14.6767i −0.235430 + 0.0504355i
\(292\) −905.611 544.888i −3.10141 1.86605i
\(293\) −9.76474 + 28.9807i −0.0333268 + 0.0989103i −0.963025 0.269411i \(-0.913171\pi\)
0.929698 + 0.368322i \(0.120067\pi\)
\(294\) −393.469 338.044i −1.33833 1.14981i
\(295\) 52.5378 69.7669i 0.178094 0.236498i
\(296\) 1093.58i 3.69454i
\(297\) 404.943 332.365i 1.36344 1.11907i
\(298\) 434.375 + 261.354i 1.45763 + 0.877028i
\(299\) 118.977 156.511i 0.397916 0.523449i
\(300\) −329.259 629.579i −1.09753 2.09860i
\(301\) 145.582 + 171.392i 0.483661 + 0.569409i
\(302\) −244.036 527.476i −0.808067 1.74661i
\(303\) −6.03232 + 52.7067i −0.0199087 + 0.173950i
\(304\) 39.9801 + 75.4105i 0.131514 + 0.248061i
\(305\) −13.7525 11.6815i −0.0450902 0.0383000i
\(306\) 169.861 + 20.4092i 0.555102 + 0.0666968i
\(307\) −78.1602 196.167i −0.254593 0.638981i 0.745013 0.667050i \(-0.232443\pi\)
−0.999606 + 0.0280690i \(0.991064\pi\)
\(308\) 1731.15 + 917.799i 5.62063 + 2.97987i
\(309\) 136.566 199.001i 0.441961 0.644015i
\(310\) −127.977 + 97.2856i −0.412829 + 0.313824i
\(311\) −157.737 + 43.7953i −0.507192 + 0.140821i −0.511692 0.859169i \(-0.670981\pi\)
0.00450063 + 0.999990i \(0.498567\pi\)
\(312\) 210.216 + 461.162i 0.673768 + 1.47808i
\(313\) −25.9127 158.061i −0.0827883 0.504986i −0.995372 0.0960965i \(-0.969364\pi\)
0.912584 0.408890i \(-0.134084\pi\)
\(314\) 47.4538 + 215.585i 0.151127 + 0.686576i
\(315\) 99.6933 82.7680i 0.316487 0.262755i
\(316\) −758.160 82.4548i −2.39924 0.260933i
\(317\) 7.28383 + 4.93856i 0.0229774 + 0.0155791i 0.572622 0.819820i \(-0.305926\pi\)
−0.549644 + 0.835399i \(0.685237\pi\)
\(318\) −49.6536 59.1275i −0.156143 0.185936i
\(319\) 27.8779 + 514.178i 0.0873916 + 1.61184i
\(320\) 157.578 166.353i 0.492431 0.519853i
\(321\) 395.115 19.1945i 1.23089 0.0597959i
\(322\) −56.2576 + 1037.61i −0.174713 + 3.22239i
\(323\) 1.82923 8.31026i 0.00566324 0.0257284i
\(324\) −680.821 + 493.782i −2.10130 + 1.52402i
\(325\) −150.841 + 50.8242i −0.464126 + 0.156382i
\(326\) −142.843 + 648.942i −0.438168 + 1.99062i
\(327\) −236.051 226.132i −0.721868 0.691534i
\(328\) 1083.45 1026.30i 3.30321 3.12896i
\(329\) −378.393 + 399.465i −1.15013 + 1.21418i
\(330\) −199.219 + 259.031i −0.603693 + 0.784942i
\(331\) −36.2409 + 221.060i −0.109489 + 0.667855i 0.873867 + 0.486165i \(0.161605\pi\)
−0.983356 + 0.181689i \(0.941843\pi\)
\(332\) −51.5931 34.9810i −0.155401 0.105364i
\(333\) −17.4434 406.194i −0.0523825 1.21980i
\(334\) 117.403 70.6390i 0.351506 0.211494i
\(335\) −38.4744 174.791i −0.114849 0.521764i
\(336\) −1252.71 763.357i −3.72829 2.27190i
\(337\) 111.990 + 51.8119i 0.332313 + 0.153745i 0.578949 0.815364i \(-0.303463\pi\)
−0.246636 + 0.969108i \(0.579325\pi\)
\(338\) −439.607 + 122.056i −1.30061 + 0.361113i
\(339\) 1.88706 + 0.112961i 0.00556655 + 0.000333218i
\(340\) −76.5871 + 8.32935i −0.225256 + 0.0244981i
\(341\) −490.879 260.248i −1.43953 0.763190i
\(342\) 29.3137 + 49.9840i 0.0857126 + 0.146152i
\(343\) −8.86379 + 31.9245i −0.0258420 + 0.0930743i
\(344\) 426.600 + 362.357i 1.24012 + 1.05336i
\(345\) −122.028 27.5809i −0.353705 0.0799446i
\(346\) −181.578 267.807i −0.524792 0.774010i
\(347\) 106.064 + 229.253i 0.305660 + 0.660673i 0.998153 0.0607518i \(-0.0193498\pi\)
−0.692493 + 0.721424i \(0.743488\pi\)
\(348\) 4.64933 826.665i 0.0133601 2.37547i
\(349\) −167.720 + 420.946i −0.480574 + 1.20615i 0.466324 + 0.884614i \(0.345578\pi\)
−0.946898 + 0.321535i \(0.895801\pi\)
\(350\) 509.143 669.766i 1.45469 1.91362i
\(351\) 85.4371 + 167.938i 0.243411 + 0.478457i
\(352\) 1725.51 + 581.391i 4.90201 + 1.65168i
\(353\) 261.452i 0.740658i 0.928901 + 0.370329i \(0.120755\pi\)
−0.928901 + 0.370329i \(0.879245\pi\)
\(354\) −646.610 180.289i −1.82658 0.509290i
\(355\) −83.9496 −0.236478
\(356\) −129.926 + 385.606i −0.364960 + 1.08316i
\(357\) 45.9169 + 138.853i 0.128619 + 0.388943i
\(358\) −606.335 460.924i −1.69367 1.28750i
\(359\) −349.859 139.397i −0.974539 0.388292i −0.172135 0.985073i \(-0.555067\pi\)
−0.802404 + 0.596782i \(0.796446\pi\)
\(360\) 211.542 243.443i 0.587616 0.676229i
\(361\) −325.019 + 150.370i −0.900330 + 0.416537i
\(362\) 921.795 624.993i 2.54640 1.72650i
\(363\) −747.548 168.961i −2.05936 0.465458i
\(364\) −456.236 + 537.123i −1.25340 + 1.47561i
\(365\) 145.185 + 40.3105i 0.397768 + 0.110440i
\(366\) −45.0218 + 131.177i −0.123011 + 0.358408i
\(367\) −195.426 + 368.612i −0.532496 + 1.00439i 0.460658 + 0.887578i \(0.347614\pi\)
−0.993154 + 0.116816i \(0.962731\pi\)
\(368\) 153.139 + 1408.09i 0.416138 + 3.82633i
\(369\) 386.061 398.485i 1.04624 1.07990i
\(370\) 67.8470 + 244.363i 0.183370 + 0.660440i
\(371\) 27.7138 59.9024i 0.0747003 0.161462i
\(372\) 761.688 + 464.147i 2.04755 + 1.24771i
\(373\) 100.150 22.0448i 0.268500 0.0591013i −0.0786798 0.996900i \(-0.525070\pi\)
0.347180 + 0.937799i \(0.387139\pi\)
\(374\) −190.153 316.036i −0.508430 0.845017i
\(375\) 145.137 + 154.955i 0.387032 + 0.413214i
\(376\) −768.569 + 1133.55i −2.04407 + 3.01477i
\(377\) −182.766 29.9629i −0.484790 0.0794773i
\(378\) −871.904 481.272i −2.30663 1.27321i
\(379\) −200.030 189.478i −0.527783 0.499943i 0.376768 0.926308i \(-0.377035\pi\)
−0.904551 + 0.426365i \(0.859794\pi\)
\(380\) −17.9441 18.9433i −0.0472213 0.0498509i
\(381\) −59.6340 57.1281i −0.156520 0.149942i
\(382\) −161.192 35.4810i −0.421968 0.0928823i
\(383\) −116.048 344.418i −0.302997 0.899263i −0.985692 0.168559i \(-0.946089\pi\)
0.682694 0.730704i \(-0.260808\pi\)
\(384\) −588.618 238.372i −1.53286 0.620759i
\(385\) −272.812 60.0505i −0.708603 0.155975i
\(386\) 759.137 + 41.1592i 1.96668 + 0.106630i
\(387\) 164.234 + 127.787i 0.424377 + 0.330200i
\(388\) −176.051 166.765i −0.453740 0.429806i
\(389\) −36.3350 + 1.97003i −0.0934063 + 0.00506434i −0.100783 0.994908i \(-0.532135\pi\)
0.00737652 + 0.999973i \(0.497652\pi\)
\(390\) −75.5840 90.0055i −0.193805 0.230783i
\(391\) 79.2428 116.874i 0.202667 0.298911i
\(392\) 119.334 1097.26i 0.304424 2.79913i
\(393\) −669.642 113.653i −1.70392 0.289194i
\(394\) −202.639 + 44.6041i −0.514311 + 0.113208i
\(395\) 107.293 17.5897i 0.271627 0.0445310i
\(396\) 1741.50 + 504.691i 4.39773 + 1.27447i
\(397\) 92.7234 + 333.959i 0.233560 + 0.841208i 0.983683 + 0.179909i \(0.0575805\pi\)
−0.750123 + 0.661298i \(0.770006\pi\)
\(398\) −81.4361 107.127i −0.204613 0.269164i
\(399\) −28.0279 + 40.8417i −0.0702455 + 0.102360i
\(400\) 537.149 1013.17i 1.34287 2.53293i
\(401\) −636.284 + 253.519i −1.58674 + 0.632216i −0.985928 0.167172i \(-0.946536\pi\)
−0.600815 + 0.799388i \(0.705157\pi\)
\(402\) −1142.91 + 765.564i −2.84305 + 1.90439i
\(403\) 129.369 152.305i 0.321014 0.377927i
\(404\) −162.223 + 86.0050i −0.401541 + 0.212884i
\(405\) 74.6907 93.7971i 0.184422 0.231598i
\(406\) 888.437 411.035i 2.18827 1.01240i
\(407\) −668.040 + 567.439i −1.64138 + 1.39420i
\(408\) 168.696 + 322.565i 0.413471 + 0.790602i
\(409\) 353.896 + 269.025i 0.865271 + 0.657762i 0.940645 0.339393i \(-0.110222\pi\)
−0.0753734 + 0.997155i \(0.524015\pi\)
\(410\) −178.426 + 296.547i −0.435186 + 0.723285i
\(411\) 292.192 + 491.868i 0.710930 + 1.19676i
\(412\) 835.335 2.02751
\(413\) −95.4026 565.843i −0.230999 1.37008i
\(414\) 144.883 + 950.599i 0.349958 + 2.29613i
\(415\) 8.42148 + 2.83753i 0.0202927 + 0.00683742i
\(416\) −337.633 + 561.150i −0.811617 + 1.34892i
\(417\) 572.116 122.563i 1.37198 0.293916i
\(418\) 46.2387 116.050i 0.110619 0.277633i
\(419\) 548.622 466.003i 1.30936 1.11218i 0.323209 0.946328i \(-0.395238\pi\)
0.986151 0.165852i \(-0.0530375\pi\)
\(420\) 431.432 + 122.404i 1.02722 + 0.291438i
\(421\) 414.871 + 611.889i 0.985442 + 1.45342i 0.888907 + 0.458089i \(0.151466\pi\)
0.0965355 + 0.995330i \(0.469224\pi\)
\(422\) −1159.90 + 614.940i −2.74858 + 1.45720i
\(423\) −267.392 + 433.300i −0.632132 + 1.02435i
\(424\) 43.9503 158.295i 0.103656 0.373336i
\(425\) −106.205 + 42.3159i −0.249894 + 0.0995668i
\(426\) 235.454 + 600.750i 0.552709 + 1.41021i
\(427\) −117.861 + 12.8181i −0.276020 + 0.0300190i
\(428\) 828.559 + 1089.95i 1.93588 + 2.54661i
\(429\) 172.635 367.703i 0.402412 0.857117i
\(430\) −117.806 54.5027i −0.273966 0.126750i
\(431\) 123.259 20.2073i 0.285984 0.0468846i −0.0170828 0.999854i \(-0.505438\pi\)
0.303066 + 0.952969i \(0.401990\pi\)
\(432\) −1278.92 455.086i −2.96046 1.05344i
\(433\) −90.9120 + 54.6999i −0.209958 + 0.126328i −0.616649 0.787238i \(-0.711510\pi\)
0.406691 + 0.913566i \(0.366683\pi\)
\(434\) −114.198 + 1050.03i −0.263128 + 2.41942i
\(435\) 30.8906 + 113.736i 0.0710129 + 0.261461i
\(436\) 183.036 1116.47i 0.419807 2.56071i
\(437\) 47.7561 2.58926i 0.109282 0.00592508i
\(438\) −118.737 1152.02i −0.271090 2.63017i
\(439\) 451.391 427.580i 1.02822 0.973986i 0.0285526 0.999592i \(-0.490910\pi\)
0.999672 + 0.0256061i \(0.00815158\pi\)
\(440\) −694.273 37.6424i −1.57789 0.0855509i
\(441\) 26.8228 409.463i 0.0608226 0.928488i
\(442\) 125.713 42.3577i 0.284419 0.0958320i
\(443\) −42.8149 127.070i −0.0966476 0.286840i 0.888414 0.459044i \(-0.151808\pi\)
−0.985061 + 0.172204i \(0.944911\pi\)
\(444\) 1125.00 845.258i 2.53377 1.90373i
\(445\) 3.14064 57.9257i 0.00705762 0.130170i
\(446\) −1040.88 1098.84i −2.33381 2.46378i
\(447\) 41.1136 + 398.892i 0.0919767 + 0.892377i
\(448\) −81.5068 1503.30i −0.181935 3.35559i
\(449\) −213.729 35.0391i −0.476011 0.0780380i −0.0809992 0.996714i \(-0.525811\pi\)
−0.395011 + 0.918676i \(0.629259\pi\)
\(450\) 334.820 702.846i 0.744044 1.56188i
\(451\) −1189.12 129.325i −2.63663 0.286751i
\(452\) 3.37321 + 5.60632i 0.00746285 + 0.0124034i
\(453\) 217.628 404.970i 0.480415 0.893974i
\(454\) 140.342 + 856.049i 0.309124 + 1.88557i
\(455\) 42.1867 91.1851i 0.0927180 0.200407i
\(456\) −52.3972 + 111.603i −0.114906 + 0.244744i
\(457\) 133.647 101.596i 0.292444 0.222310i −0.448656 0.893704i \(-0.648097\pi\)
0.741101 + 0.671394i \(0.234304\pi\)
\(458\) −34.7615 319.627i −0.0758985 0.697876i
\(459\) 67.8047 + 117.121i 0.147723 + 0.255166i
\(460\) −160.269 402.245i −0.348411 0.874446i
\(461\) 555.366 + 154.196i 1.20470 + 0.334483i 0.811159 0.584826i \(-0.198837\pi\)
0.393538 + 0.919308i \(0.371251\pi\)
\(462\) 335.433 + 2120.69i 0.726045 + 4.59023i
\(463\) 240.592 + 453.805i 0.519638 + 0.980140i 0.994955 + 0.100326i \(0.0319885\pi\)
−0.475317 + 0.879815i \(0.657667\pi\)
\(464\) 1104.39 748.795i 2.38015 1.61378i
\(465\) −122.335 34.7084i −0.263086 0.0746418i
\(466\) −486.998 573.338i −1.04506 1.23034i
\(467\) −313.418 124.877i −0.671130 0.267403i 0.00958149 0.999954i \(-0.496950\pi\)
−0.680712 + 0.732551i \(0.738329\pi\)
\(468\) −311.928 + 572.698i −0.666512 + 1.22371i
\(469\) −1007.60 606.254i −2.14840 1.29265i
\(470\) 101.411 300.977i 0.215768 0.640377i
\(471\) −113.791 + 132.449i −0.241595 + 0.281207i
\(472\) −462.185 1351.43i −0.979206 2.86320i
\(473\) 448.619i 0.948454i
\(474\) −426.798 718.460i −0.900417 1.51574i
\(475\) −33.1789 19.9631i −0.0698503 0.0420275i
\(476\) −306.321 + 402.958i −0.643531 + 0.846551i
\(477\) 13.7997 59.4971i 0.0289303 0.124732i
\(478\) 179.796 + 211.672i 0.376143 + 0.442829i
\(479\) −14.2163 30.7280i −0.0296791 0.0641503i 0.892169 0.451702i \(-0.149183\pi\)
−0.921848 + 0.387552i \(0.873321\pi\)
\(480\) 414.039 + 47.3871i 0.862582 + 0.0987231i
\(481\) −147.667 278.529i −0.307000 0.579063i
\(482\) 16.5035 + 14.0182i 0.0342397 + 0.0290834i
\(483\) −682.935 + 457.456i −1.41394 + 0.947114i
\(484\) −981.814 2464.17i −2.02854 5.09125i
\(485\) 30.5445 + 16.1936i 0.0629783 + 0.0333890i
\(486\) −880.705 271.419i −1.81215 0.558475i
\(487\) −51.2313 + 38.9450i −0.105198 + 0.0799692i −0.656451 0.754369i \(-0.727943\pi\)
0.551253 + 0.834338i \(0.314150\pi\)
\(488\) −284.333 + 78.9445i −0.582649 + 0.161772i
\(489\) −478.276 + 218.017i −0.978070 + 0.445842i
\(490\) 41.4097 + 252.588i 0.0845096 + 0.515486i
\(491\) 176.804 + 803.230i 0.360090 + 1.63591i 0.713656 + 0.700497i \(0.247038\pi\)
−0.353566 + 0.935410i \(0.615031\pi\)
\(492\) 1893.21 + 321.320i 3.84798 + 0.653089i
\(493\) −132.243 14.3822i −0.268240 0.0291729i
\(494\) 37.1888 + 25.2147i 0.0752810 + 0.0510418i
\(495\) −258.477 2.90755i −0.522176 0.00587383i
\(496\) 77.9428 + 1437.57i 0.157143 + 2.89833i
\(497\) −379.319 + 400.442i −0.763217 + 0.805719i
\(498\) −3.31424 68.2232i −0.00665511 0.136994i
\(499\) −33.2642 + 613.523i −0.0666618 + 1.22950i 0.753529 + 0.657415i \(0.228350\pi\)
−0.820191 + 0.572090i \(0.806133\pi\)
\(500\) −157.964 + 717.637i −0.315928 + 1.43527i
\(501\) 100.459 + 40.6827i 0.200517 + 0.0812029i
\(502\) 273.365 92.1075i 0.544553 0.183481i
\(503\) 137.929 626.617i 0.274212 1.24576i −0.615096 0.788452i \(-0.710883\pi\)
0.889309 0.457307i \(-0.151186\pi\)
\(504\) −205.396 2109.03i −0.407532 4.18459i
\(505\) 19.0041 18.0017i 0.0376319 0.0356468i
\(506\) 1425.62 1505.01i 2.81743 2.97433i
\(507\) −286.076 220.019i −0.564252 0.433962i
\(508\) 46.2407 282.056i 0.0910249 0.555227i
\(509\) 85.1753 + 57.7503i 0.167339 + 0.113458i 0.641982 0.766720i \(-0.278113\pi\)
−0.474643 + 0.880178i \(0.657423\pi\)
\(510\) −57.7078 61.6117i −0.113152 0.120807i
\(511\) 848.289 510.399i 1.66006 0.998823i
\(512\) 32.3065 + 146.770i 0.0630985 + 0.286660i
\(513\) −17.6820 + 42.2891i −0.0344678 + 0.0824348i
\(514\) 712.698 + 329.729i 1.38657 + 0.641496i
\(515\) −114.749 + 31.8600i −0.222814 + 0.0618640i
\(516\) −43.0357 + 718.929i −0.0834026 + 1.39327i
\(517\) 1091.25 118.681i 2.11074 0.229557i
\(518\) 1472.18 + 780.500i 2.84205 + 1.50676i
\(519\) 83.0871 242.086i 0.160091 0.466446i
\(520\) 66.9023 240.960i 0.128658 0.463385i
\(521\) 223.360 + 189.724i 0.428714 + 0.364153i 0.835611 0.549321i \(-0.185114\pi\)
−0.406898 + 0.913474i \(0.633389\pi\)
\(522\) 727.261 540.051i 1.39322 1.03458i
\(523\) 169.240 + 249.610i 0.323594 + 0.477265i 0.954339 0.298724i \(-0.0965611\pi\)
−0.630745 + 0.775990i \(0.717251\pi\)
\(524\) −987.077 2133.53i −1.88373 4.07162i
\(525\) 665.498 + 3.74289i 1.26762 + 0.00712932i
\(526\) −209.718 + 526.353i −0.398704 + 1.00067i
\(527\) 86.8592 114.261i 0.164818 0.216815i
\(528\) 918.835 + 2778.55i 1.74022 + 5.26241i
\(529\) 250.797 + 84.5033i 0.474096 + 0.159742i
\(530\) 38.0979i 0.0718829i
\(531\) −193.228 494.595i −0.363894 0.931440i
\(532\) −171.439 −0.322254
\(533\) 137.367 407.692i 0.257725 0.764900i
\(534\) −423.329 + 139.990i −0.792751 + 0.262154i
\(535\) −155.389 118.124i −0.290448 0.220793i
\(536\) −2719.04 1083.36i −5.07283 2.02120i
\(537\) 3.38842 602.472i 0.00630991 1.12192i
\(538\) −868.247 + 401.694i −1.61384 + 0.746643i
\(539\) −732.206 + 496.448i −1.35845 + 0.921054i
\(540\) 413.941 + 29.4550i 0.766558 + 0.0545464i
\(541\) 177.303 208.738i 0.327732 0.385836i −0.573476 0.819222i \(-0.694405\pi\)
0.901208 + 0.433386i \(0.142681\pi\)
\(542\) −158.645 44.0477i −0.292704 0.0812688i
\(543\) 833.260 + 285.986i 1.53455 + 0.526678i
\(544\) −220.326 + 415.578i −0.405011 + 0.763931i
\(545\) 17.4390 + 160.349i 0.0319982 + 0.294219i
\(546\) −770.849 46.1437i −1.41181 0.0845122i
\(547\) −70.8050 255.017i −0.129442 0.466209i 0.870207 0.492686i \(-0.163985\pi\)
−0.999649 + 0.0264768i \(0.991571\pi\)
\(548\) −831.422 + 1797.09i −1.51719 + 3.27936i
\(549\) −104.352 + 33.8580i −0.190076 + 0.0616721i
\(550\) −1639.15 + 360.804i −2.98027 + 0.656008i
\(551\) −23.2280 38.6053i −0.0421561 0.0700640i
\(552\) −1493.24 + 1398.63i −2.70515 + 2.53374i
\(553\) 400.889 591.267i 0.724934 1.06920i
\(554\) 316.737 + 51.9263i 0.571727 + 0.0937298i
\(555\) −122.301 + 159.020i −0.220362 + 0.286523i
\(556\) 1470.17 + 1392.62i 2.64420 + 2.50472i
\(557\) 398.304 + 420.485i 0.715088 + 0.754910i 0.977703 0.209991i \(-0.0673435\pi\)
−0.262615 + 0.964901i \(0.584585\pi\)
\(558\) 94.7383 + 972.786i 0.169782 + 1.74334i
\(559\) 157.582 + 34.6864i 0.281900 + 0.0620508i
\(560\) 231.123 + 685.948i 0.412720 + 1.22491i
\(561\) 109.513 270.425i 0.195211 0.482041i
\(562\) −85.0567 18.7224i −0.151347 0.0333139i
\(563\) 484.361 + 26.2613i 0.860322 + 0.0466453i 0.479019 0.877805i \(-0.340993\pi\)
0.381303 + 0.924450i \(0.375475\pi\)
\(564\) −1760.16 + 85.5076i −3.12085 + 0.151609i
\(565\) −0.677202 0.641480i −0.00119859 0.00113536i
\(566\) 1015.42 55.0543i 1.79402 0.0972691i
\(567\) −109.932 780.091i −0.193883 1.37582i
\(568\) −770.448 + 1136.33i −1.35642 + 2.00057i
\(569\) −87.3815 + 803.460i −0.153570 + 1.41206i 0.623097 + 0.782145i \(0.285874\pi\)
−0.776667 + 0.629911i \(0.783091\pi\)
\(570\) 4.78426 28.1887i 0.00839344 0.0494539i
\(571\) 175.588 38.6499i 0.307510 0.0676881i −0.0585345 0.998285i \(-0.518643\pi\)
0.366045 + 0.930597i \(0.380712\pi\)
\(572\) 1387.40 227.452i 2.42552 0.397644i
\(573\) −54.1537 118.800i −0.0945090 0.207330i
\(574\) 608.334 + 2191.02i 1.05982 + 3.81711i
\(575\) −388.863 511.541i −0.676284 0.889637i
\(576\) −357.583 1346.47i −0.620804 2.33762i
\(577\) 511.057 963.955i 0.885714 1.67063i 0.155038 0.987909i \(-0.450450\pi\)
0.730676 0.682725i \(-0.239205\pi\)
\(578\) −929.678 + 370.418i −1.60844 + 0.640861i
\(579\) 334.684 + 499.649i 0.578038 + 0.862952i
\(580\) −264.072 + 310.889i −0.455296 + 0.536016i
\(581\) 51.5868 27.3496i 0.0887897 0.0470733i
\(582\) 30.2146 263.997i 0.0519152 0.453603i
\(583\) −119.503 + 55.2879i −0.204979 + 0.0948335i
\(584\) 1878.07 1595.25i 3.21588 2.73159i
\(585\) 21.0063 90.5680i 0.0359082 0.154817i
\(586\) −92.3316 70.1886i −0.157562 0.119776i
\(587\) 424.557 705.620i 0.723266 1.20208i −0.249068 0.968486i \(-0.580124\pi\)
0.972335 0.233592i \(-0.0750480\pi\)
\(588\) 1221.01 725.338i 2.07655 1.23357i
\(589\) 48.6126 0.0825342
\(590\) 187.120 + 273.305i 0.317153 + 0.463228i
\(591\) −124.495 106.958i −0.210651 0.180978i
\(592\) 2152.33 + 725.205i 3.63569 + 1.22501i
\(593\) 182.896 303.975i 0.308425 0.512606i −0.663414 0.748253i \(-0.730893\pi\)
0.971839 + 0.235646i \(0.0757207\pi\)
\(594\) 704.147 + 1857.84i 1.18543 + 3.12767i
\(595\) 26.7101 67.0372i 0.0448909 0.112668i
\(596\) −1057.80 + 898.506i −1.77484 + 1.50756i
\(597\) 29.0538 102.405i 0.0486664 0.171532i
\(598\) 418.424 + 617.129i 0.699705 + 1.03199i
\(599\) 825.709 437.763i 1.37848 0.730824i 0.396186 0.918170i \(-0.370334\pi\)
0.982294 + 0.187347i \(0.0599888\pi\)
\(600\) 1636.13 258.789i 2.72688 0.431316i
\(601\) 262.479 945.363i 0.436737 1.57298i −0.338282 0.941045i \(-0.609846\pi\)
0.775019 0.631938i \(-0.217740\pi\)
\(602\) −792.274 + 315.671i −1.31607 + 0.524370i
\(603\) −1027.22 359.028i −1.70352 0.595403i
\(604\) 1581.86 172.038i 2.61897 0.284831i
\(605\) 228.855 + 301.054i 0.378273 + 0.497609i
\(606\) −182.122 85.5055i −0.300532 0.141098i
\(607\) −758.955 351.130i −1.25034 0.578468i −0.320783 0.947153i \(-0.603946\pi\)
−0.929554 + 0.368685i \(0.879808\pi\)
\(608\) −157.215 + 25.7741i −0.258578 + 0.0423917i
\(609\) 682.099 + 366.555i 1.12003 + 0.601897i
\(610\) 58.6368 35.2806i 0.0961259 0.0578370i
\(611\) −42.6859 + 392.490i −0.0698623 + 0.642373i
\(612\) −201.441 + 422.861i −0.329152 + 0.690949i
\(613\) −123.199 + 751.480i −0.200977 + 1.22591i 0.672890 + 0.739742i \(0.265053\pi\)
−0.873868 + 0.486164i \(0.838396\pi\)
\(614\) 799.671 43.3569i 1.30240 0.0706138i
\(615\) −272.323 + 28.0682i −0.442802 + 0.0456393i
\(616\) −3316.57 + 3141.62i −5.38404 + 5.10003i
\(617\) 625.736 + 33.9264i 1.01416 + 0.0549861i 0.553718 0.832705i \(-0.313209\pi\)
0.460440 + 0.887691i \(0.347691\pi\)
\(618\) 549.830 + 731.796i 0.889693 + 1.18414i
\(619\) 239.606 80.7326i 0.387085 0.130424i −0.119029 0.992891i \(-0.537978\pi\)
0.506114 + 0.862467i \(0.331081\pi\)
\(620\) −140.530 417.080i −0.226662 0.672709i
\(621\) −532.333 + 543.316i −0.857219 + 0.874905i
\(622\) 33.6120 619.937i 0.0540386 0.996683i
\(623\) −262.117 276.713i −0.420733 0.444163i
\(624\) −1047.04 + 107.917i −1.67795 + 0.172945i
\(625\) 25.1995 + 464.777i 0.0403192 + 0.743643i
\(626\) 599.447 + 98.2744i 0.957583 + 0.156988i
\(627\) 95.3634 25.9007i 0.152095 0.0413090i
\(628\) −600.814 65.3425i −0.956711 0.104049i
\(629\) −116.735 194.016i −0.185589 0.308451i
\(630\) 176.743 + 458.524i 0.280544 + 0.727816i
\(631\) −111.308 678.952i −0.176400 1.07599i −0.915477 0.402371i \(-0.868186\pi\)
0.739076 0.673622i \(-0.235262\pi\)
\(632\) 746.588 1613.72i 1.18131 2.55336i
\(633\) −940.041 441.345i −1.48506 0.697227i
\(634\) −26.5695 + 20.1976i −0.0419077 + 0.0318574i
\(635\) 4.40566 + 40.5094i 0.00693804 + 0.0637943i
\(636\) 196.812 77.1372i 0.309452 0.121285i
\(637\) −117.770 295.580i −0.184882 0.464018i
\(638\) −1881.71 522.453i −2.94938 0.818893i
\(639\) −268.046 + 434.360i −0.419477 + 0.679749i
\(640\) 146.777 + 276.850i 0.229338 + 0.432578i
\(641\) −612.367 + 415.195i −0.955331 + 0.647730i −0.935969 0.352082i \(-0.885474\pi\)
−0.0193618 + 0.999813i \(0.506163\pi\)
\(642\) −409.482 + 1443.28i −0.637822 + 2.24810i
\(643\) 58.0630 + 68.3570i 0.0903001 + 0.106309i 0.805456 0.592655i \(-0.201920\pi\)
−0.715156 + 0.698965i \(0.753644\pi\)
\(644\) −2642.88 1053.02i −4.10386 1.63513i
\(645\) −21.5084 100.400i −0.0333464 0.155659i
\(646\) 27.6518 + 16.6376i 0.0428047 + 0.0257547i
\(647\) 88.1100 261.501i 0.136182 0.404175i −0.857764 0.514044i \(-0.828147\pi\)
0.993946 + 0.109869i \(0.0350433\pi\)
\(648\) −584.146 1871.82i −0.901460 2.88862i
\(649\) −585.733 + 983.567i −0.902516 + 1.51551i
\(650\) 603.665i 0.928716i
\(651\) −718.321 + 426.715i −1.10341 + 0.655477i
\(652\) −1558.80 937.897i −2.39079 1.43849i
\(653\) −548.823 + 721.964i −0.840464 + 1.10561i 0.152629 + 0.988284i \(0.451226\pi\)
−0.993093 + 0.117328i \(0.962567\pi\)
\(654\) 1098.56 574.528i 1.67976 0.878484i
\(655\) 216.967 + 255.434i 0.331248 + 0.389975i
\(656\) 1301.42 + 2812.98i 1.98388 + 4.28808i
\(657\) 672.136 622.487i 1.02304 0.947469i
\(658\) −977.454 1843.67i −1.48549 2.80194i
\(659\) 591.614 + 502.522i 0.897746 + 0.762552i 0.972072 0.234682i \(-0.0754048\pi\)
−0.0743265 + 0.997234i \(0.523681\pi\)
\(660\) −497.898 743.310i −0.754391 1.12623i
\(661\) 121.827 + 305.763i 0.184307 + 0.462577i 0.991878 0.127194i \(-0.0405972\pi\)
−0.807570 + 0.589771i \(0.799218\pi\)
\(662\) −750.600 397.943i −1.13384 0.601122i
\(663\) 86.5221 + 59.3765i 0.130501 + 0.0895573i
\(664\) 115.697 87.9502i 0.174242 0.132455i
\(665\) 23.5504 6.53875i 0.0354142 0.00983270i
\(666\) 1480.98 + 429.191i 2.22369 + 0.644431i
\(667\) −120.957 737.806i −0.181345 1.10616i
\(668\) 80.6400 + 366.351i 0.120719 + 0.548430i
\(669\) 200.341 1180.40i 0.299463 1.76443i
\(670\) 674.787 + 73.3875i 1.00714 + 0.109534i
\(671\) 195.760 + 132.728i 0.291743 + 0.197807i
\(672\) 2096.84 1760.87i 3.12030 2.62034i
\(673\) −10.9330 201.647i −0.0162451 0.299624i −0.995354 0.0962858i \(-0.969304\pi\)
0.979109 0.203338i \(-0.0651790\pi\)
\(674\) −321.825 + 339.747i −0.477486 + 0.504076i
\(675\) 603.587 122.221i 0.894203 0.181068i
\(676\) 67.6240 1247.25i 0.100036 1.84505i
\(677\) −60.1244 + 273.148i −0.0888101 + 0.403468i −0.999963 0.00860004i \(-0.997262\pi\)
0.911153 + 0.412068i \(0.135194\pi\)
\(678\) −2.69112 + 6.64527i −0.00396921 + 0.00980128i
\(679\) 215.257 72.5284i 0.317020 0.106817i
\(680\) 38.6118 175.415i 0.0567820 0.257963i
\(681\) −474.696 + 495.518i −0.697057 + 0.727633i
\(682\) 1529.76 1449.06i 2.24305 2.12473i
\(683\) 161.518 170.513i 0.236484 0.249653i −0.596942 0.802284i \(-0.703618\pi\)
0.833426 + 0.552632i \(0.186376\pi\)
\(684\) −155.308 + 32.3588i −0.227059 + 0.0473082i
\(685\) 45.6701 278.575i 0.0666717 0.406679i
\(686\) −104.002 70.5154i −0.151607 0.102792i
\(687\) 185.621 173.859i 0.270190 0.253070i
\(688\) −996.070 + 599.316i −1.44778 + 0.871098i
\(689\) −10.1807 46.2514i −0.0147760 0.0671283i
\(690\) 246.896 405.168i 0.357820 0.587200i
\(691\) 376.219 + 174.057i 0.544456 + 0.251892i 0.672783 0.739840i \(-0.265099\pi\)
−0.128327 + 0.991732i \(0.540961\pi\)
\(692\) 853.555 236.988i 1.23346 0.342469i
\(693\) −1181.78 + 1219.81i −1.70530 + 1.76018i
\(694\) −952.372 + 103.577i −1.37229 + 0.149246i
\(695\) −255.072 135.230i −0.367009 0.194576i
\(696\) 1823.00 + 625.680i 2.61926 + 0.898965i
\(697\) 82.6652 297.733i 0.118601 0.427164i
\(698\) −1309.77 1112.53i −1.87646 1.59388i
\(699\) 131.186 580.416i 0.187677 0.830351i
\(700\) 1292.61 + 1906.46i 1.84659 + 2.72352i
\(701\) 107.100 + 231.494i 0.152782 + 0.330234i 0.968820 0.247765i \(-0.0796960\pi\)
−0.816038 + 0.577998i \(0.803834\pi\)
\(702\) −707.028 + 103.694i −1.00716 + 0.147712i
\(703\) 28.3861 71.2438i 0.0403786 0.101343i
\(704\) −1817.60 + 2391.01i −2.58182 + 3.39632i
\(705\) 238.530 78.8792i 0.338341 0.111885i
\(706\) −939.655 316.607i −1.33096 0.448451i
\(707\) 171.989i 0.243266i
\(708\) 1033.01 1520.02i 1.45906 2.14691i
\(709\) −797.613 −1.12498 −0.562492 0.826803i \(-0.690157\pi\)
−0.562492 + 0.826803i \(0.690157\pi\)
\(710\) 101.659 301.714i 0.143182 0.424949i
\(711\) 251.568 611.301i 0.353823 0.859776i
\(712\) −755.249 574.125i −1.06074 0.806355i
\(713\) 749.407 + 298.591i 1.05106 + 0.418781i
\(714\) −554.637 3.11939i −0.776803 0.00436890i
\(715\) −181.910 + 84.1607i −0.254420 + 0.117707i
\(716\) 1725.91 1170.20i 2.41049 1.63435i
\(717\) −48.4329 + 214.285i −0.0675494 + 0.298864i
\(718\) 924.653 1088.59i 1.28782 1.51614i
\(719\) 1132.43 + 314.418i 1.57501 + 0.437299i 0.941660 0.336566i \(-0.109265\pi\)
0.633350 + 0.773865i \(0.281679\pi\)
\(720\) 338.848 + 577.783i 0.470622 + 0.802476i
\(721\) −366.511 + 691.314i −0.508338 + 0.958826i
\(722\) −146.844 1350.20i −0.203384 1.87009i
\(723\) −1.02351 + 17.0981i −0.00141564 + 0.0236488i
\(724\) 815.715 + 2937.94i 1.12668 + 4.05793i
\(725\) −254.170 + 549.379i −0.350579 + 0.757763i
\(726\) 1512.49 2482.07i 2.08332 3.41883i
\(727\) 1341.15 295.210i 1.84478 0.406066i 0.851749 0.523950i \(-0.175542\pi\)
0.993027 + 0.117884i \(0.0376110\pi\)
\(728\) −847.096 1407.88i −1.16359 1.93391i
\(729\) −246.829 685.942i −0.338585 0.940936i
\(730\) −320.688 + 472.979i −0.439298 + 0.647917i
\(731\) 114.365 + 18.7491i 0.156449 + 0.0256486i
\(732\) −300.980 231.481i −0.411175 0.316232i
\(733\) 122.063 + 115.624i 0.166525 + 0.157741i 0.766424 0.642335i \(-0.222034\pi\)
−0.599899 + 0.800076i \(0.704793\pi\)
\(734\) −1088.14 1148.73i −1.48247 1.56503i
\(735\) −140.065 + 146.209i −0.190565 + 0.198924i
\(736\) −2581.92 568.324i −3.50805 0.772180i
\(737\) 749.058 + 2223.12i 1.01636 + 3.01645i
\(738\) 964.646 + 1870.04i 1.30711 + 2.53393i
\(739\) −133.957 29.4862i −0.181268 0.0399001i 0.123409 0.992356i \(-0.460617\pi\)
−0.304677 + 0.952456i \(0.598548\pi\)
\(740\) −693.307 37.5900i −0.936901 0.0507973i
\(741\) 1.72457 + 35.5000i 0.00232735 + 0.0479082i
\(742\) 181.728 + 172.142i 0.244917 + 0.231998i
\(743\) −197.035 + 10.6829i −0.265188 + 0.0143781i −0.186253 0.982502i \(-0.559635\pi\)
−0.0789345 + 0.996880i \(0.525152\pi\)
\(744\) −1592.54 + 1337.37i −2.14051 + 1.79754i
\(745\) 111.040 163.772i 0.149047 0.219828i
\(746\) −42.0490 + 386.634i −0.0563660 + 0.518277i
\(747\) 41.5708 34.5132i 0.0556503 0.0462024i
\(748\) 986.179 217.074i 1.31842 0.290207i
\(749\) −1265.57 + 207.479i −1.68968 + 0.277009i
\(750\) −732.661 + 333.976i −0.976882 + 0.445301i
\(751\) 277.026 + 997.756i 0.368876 + 1.32857i 0.882402 + 0.470496i \(0.155925\pi\)
−0.513526 + 0.858074i \(0.671661\pi\)
\(752\) −1721.33 2264.37i −2.28900 3.01113i
\(753\) 188.144 + 129.115i 0.249859 + 0.171468i
\(754\) 329.007 620.574i 0.436349 0.823042i
\(755\) −210.737 + 83.9653i −0.279122 + 0.111212i
\(756\) 2010.86 1841.42i 2.65987 2.43574i
\(757\) 177.182 208.595i 0.234058 0.275555i −0.632576 0.774498i \(-0.718003\pi\)
0.866635 + 0.498943i \(0.166278\pi\)
\(758\) 923.209 489.454i 1.21795 0.645718i
\(759\) 1629.20 + 186.463i 2.14651 + 0.245669i
\(760\) 55.2125 25.5440i 0.0726481 0.0336106i
\(761\) 228.821 194.362i 0.300685 0.255404i −0.484324 0.874889i \(-0.660934\pi\)
0.785009 + 0.619485i \(0.212658\pi\)
\(762\) 277.531 145.144i 0.364214 0.190478i
\(763\) 843.668 + 641.340i 1.10573 + 0.840550i
\(764\) 232.966 387.193i 0.304930 0.506797i
\(765\) 11.5438 65.7711i 0.0150899 0.0859753i
\(766\) 1378.36 1.79943
\(767\) −300.200 281.792i −0.391395 0.367395i
\(768\) 359.013 417.876i 0.467464 0.544110i
\(769\) −1166.49 393.036i −1.51689 0.511100i −0.567010 0.823711i \(-0.691900\pi\)
−0.949881 + 0.312611i \(0.898796\pi\)
\(770\) 546.184 907.764i 0.709329 1.17891i
\(771\) 130.121 + 607.398i 0.168769 + 0.787806i
\(772\) −770.412 + 1933.59i −0.997943 + 2.50465i
\(773\) 600.446 510.023i 0.776773 0.659797i −0.168638 0.985678i \(-0.553937\pi\)
0.945411 + 0.325881i \(0.105661\pi\)