Properties

Label 76.5.l.a.23.18
Level $76$
Weight $5$
Character 76.23
Analytic conductor $7.856$
Analytic rank $0$
Dimension $228$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 76.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.85611719437\)
Analytic rank: \(0\)
Dimension: \(228\)
Relative dimension: \(38\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 23.18
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.700689 - 3.93815i) q^{2} +(-14.2932 + 2.52028i) q^{3} +(-15.0181 + 5.51884i) q^{4} +(-7.84979 + 6.58676i) q^{5} +(19.9403 + 54.5229i) q^{6} +(-31.3486 - 18.0991i) q^{7} +(32.2570 + 55.2764i) q^{8} +(121.829 - 44.3421i) q^{9} +O(q^{10})\) \(q+(-0.700689 - 3.93815i) q^{2} +(-14.2932 + 2.52028i) q^{3} +(-15.0181 + 5.51884i) q^{4} +(-7.84979 + 6.58676i) q^{5} +(19.9403 + 54.5229i) q^{6} +(-31.3486 - 18.0991i) q^{7} +(32.2570 + 55.2764i) q^{8} +(121.829 - 44.3421i) q^{9} +(31.4399 + 26.2984i) q^{10} +(-20.6766 + 11.9376i) q^{11} +(200.747 - 116.732i) q^{12} +(26.5442 - 150.540i) q^{13} +(-49.3114 + 136.137i) q^{14} +(95.5983 - 113.930i) q^{15} +(195.085 - 165.765i) q^{16} +(423.362 + 154.091i) q^{17} +(-259.990 - 448.711i) q^{18} +(-360.952 + 5.91712i) q^{19} +(81.5374 - 142.242i) q^{20} +(493.687 + 179.687i) q^{21} +(61.5001 + 73.0630i) q^{22} +(149.973 - 178.731i) q^{23} +(-600.369 - 708.781i) q^{24} +(-90.2963 + 512.095i) q^{25} +(-611.447 + 0.946457i) q^{26} +(-611.464 + 353.029i) q^{27} +(570.682 + 98.8059i) q^{28} +(-242.775 + 88.3630i) q^{29} +(-515.657 - 296.651i) q^{30} +(1237.25 + 714.325i) q^{31} +(-789.500 - 652.124i) q^{32} +(265.449 - 222.738i) q^{33} +(310.189 - 1775.23i) q^{34} +(365.294 - 64.4113i) q^{35} +(-1584.92 + 1338.29i) q^{36} +1197.77 q^{37} +(276.217 + 1417.34i) q^{38} +2218.59i q^{39} +(-617.303 - 221.439i) q^{40} +(175.891 + 997.527i) q^{41} +(361.715 - 2070.12i) q^{42} +(1567.78 + 1868.41i) q^{43} +(244.641 - 293.391i) q^{44} +(-664.261 + 1150.53i) q^{45} +(-808.955 - 465.382i) q^{46} +(-76.6893 - 210.702i) q^{47} +(-2370.61 + 2860.98i) q^{48} +(-545.344 - 944.563i) q^{49} +(2079.98 - 3.21959i) q^{50} +(-6439.56 - 1135.47i) q^{51} +(432.162 + 2407.31i) q^{52} +(-2433.90 - 2042.28i) q^{53} +(1818.73 + 2160.67i) q^{54} +(83.6767 - 229.900i) q^{55} +(-10.7579 - 2316.66i) q^{56} +(5144.24 - 994.273i) q^{57} +(518.097 + 894.171i) q^{58} +(1772.62 - 4870.25i) q^{59} +(-806.942 + 2238.59i) q^{60} +(-2416.98 - 2028.09i) q^{61} +(1946.19 - 5372.99i) q^{62} +(-4621.72 - 814.934i) q^{63} +(-2014.97 + 3566.11i) q^{64} +(783.201 + 1356.54i) q^{65} +(-1063.17 - 889.308i) q^{66} +(1540.81 + 4233.34i) q^{67} +(-7208.49 + 22.3160i) q^{68} +(-1693.15 + 2932.62i) q^{69} +(-509.619 - 1393.45i) q^{70} +(-1436.32 - 1711.73i) q^{71} +(6380.91 + 5303.92i) q^{72} +(239.951 + 1360.83i) q^{73} +(-839.262 - 4716.98i) q^{74} -7547.06i q^{75} +(5388.14 - 2080.90i) q^{76} +864.243 q^{77} +(8737.15 - 1554.54i) q^{78} +(9952.26 - 1754.85i) q^{79} +(-439.523 + 2586.19i) q^{80} +(-194.535 + 163.235i) q^{81} +(3805.17 - 1391.64i) q^{82} +(9148.18 + 5281.70i) q^{83} +(-8405.89 + 26.0230i) q^{84} +(-4338.27 + 1579.00i) q^{85} +(6259.56 - 7483.35i) q^{86} +(3247.34 - 1874.85i) q^{87} +(-1326.84 - 757.856i) q^{88} +(2171.75 - 12316.6i) q^{89} +(4996.42 + 1809.79i) q^{90} +(-3556.76 + 4238.78i) q^{91} +(-1265.92 + 3511.88i) q^{92} +(-19484.5 - 7091.79i) q^{93} +(-776.042 + 449.651i) q^{94} +(2794.42 - 2423.95i) q^{95} +(12928.0 + 7331.18i) q^{96} +(13367.7 + 4865.46i) q^{97} +(-3337.71 + 2809.49i) q^{98} +(-1989.67 + 2371.19i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} + O(q^{10}) \) \( 228q - 6q^{2} - 48q^{4} - 12q^{5} - 60q^{6} - 3q^{8} - 180q^{9} - 453q^{10} - 3q^{12} + 516q^{13} + 81q^{14} - 720q^{16} - 12q^{17} - 12q^{18} - 1182q^{20} - 930q^{21} - 54q^{22} - 2664q^{24} - 12q^{25} - 3099q^{26} - 4824q^{28} - 12q^{29} + 5814q^{30} + 7419q^{32} + 1542q^{33} + 6912q^{34} + 8547q^{36} - 24q^{37} - 1536q^{38} - 6942q^{40} + 6396q^{41} - 18855q^{42} - 1143q^{44} - 6q^{45} - 1488q^{46} + 6093q^{48} + 26748q^{49} + 8070q^{50} - 12591q^{52} + 2436q^{53} - 7365q^{54} - 14418q^{56} - 12q^{57} + 8268q^{58} + 34632q^{60} - 31068q^{61} + 27396q^{62} + 4575q^{64} + 3594q^{65} - 29556q^{66} - 22782q^{68} + 29370q^{69} - 71541q^{70} - 30174q^{72} - 6348q^{73} - 417q^{74} + 43194q^{76} - 50436q^{77} + 45537q^{78} + 30081q^{80} - 41994q^{81} + 72219q^{82} + 13779q^{84} - 59244q^{85} + 19200q^{86} - 22395q^{88} + 1860q^{89} + 45594q^{90} - 64140q^{92} + 59118q^{93} - 55590q^{94} - 98646q^{96} - 5556q^{97} - 52215q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.700689 3.93815i −0.175172 0.984538i
\(3\) −14.2932 + 2.52028i −1.58813 + 0.280031i −0.896777 0.442482i \(-0.854098\pi\)
−0.691357 + 0.722513i \(0.742987\pi\)
\(4\) −15.0181 + 5.51884i −0.938629 + 0.344928i
\(5\) −7.84979 + 6.58676i −0.313992 + 0.263470i −0.786140 0.618049i \(-0.787923\pi\)
0.472148 + 0.881519i \(0.343479\pi\)
\(6\) 19.9403 + 54.5229i 0.553898 + 1.51452i
\(7\) −31.3486 18.0991i −0.639767 0.369370i 0.144758 0.989467i \(-0.453760\pi\)
−0.784525 + 0.620097i \(0.787093\pi\)
\(8\) 32.2570 + 55.2764i 0.504016 + 0.863694i
\(9\) 121.829 44.3421i 1.50406 0.547433i
\(10\) 31.4399 + 26.2984i 0.314399 + 0.262984i
\(11\) −20.6766 + 11.9376i −0.170881 + 0.0986582i −0.583001 0.812471i \(-0.698122\pi\)
0.412120 + 0.911129i \(0.364788\pi\)
\(12\) 200.747 116.732i 1.39408 0.810637i
\(13\) 26.5442 150.540i 0.157066 0.890767i −0.799806 0.600258i \(-0.795064\pi\)
0.956872 0.290509i \(-0.0938245\pi\)
\(14\) −49.3114 + 136.137i −0.251589 + 0.694578i
\(15\) 95.5983 113.930i 0.424881 0.506354i
\(16\) 195.085 165.765i 0.762050 0.647518i
\(17\) 423.362 + 154.091i 1.46492 + 0.533188i 0.946716 0.322068i \(-0.104378\pi\)
0.518205 + 0.855256i \(0.326600\pi\)
\(18\) −259.990 448.711i −0.802439 1.38491i
\(19\) −360.952 + 5.91712i −0.999866 + 0.0163909i
\(20\) 81.5374 142.242i 0.203844 0.355605i
\(21\) 493.687 + 179.687i 1.11947 + 0.407454i
\(22\) 61.5001 + 73.0630i 0.127066 + 0.150957i
\(23\) 149.973 178.731i 0.283503 0.337866i −0.605434 0.795896i \(-0.707000\pi\)
0.888937 + 0.458030i \(0.151445\pi\)
\(24\) −600.369 708.781i −1.04231 1.23052i
\(25\) −90.2963 + 512.095i −0.144474 + 0.819353i
\(26\) −611.447 + 0.946457i −0.904507 + 0.00140008i
\(27\) −611.464 + 353.029i −0.838771 + 0.484264i
\(28\) 570.682 + 98.8059i 0.727910 + 0.126028i
\(29\) −242.775 + 88.3630i −0.288674 + 0.105069i −0.482299 0.876007i \(-0.660198\pi\)
0.193624 + 0.981076i \(0.437976\pi\)
\(30\) −515.657 296.651i −0.572952 0.329612i
\(31\) 1237.25 + 714.325i 1.28746 + 0.743314i 0.978200 0.207664i \(-0.0665861\pi\)
0.309258 + 0.950978i \(0.399919\pi\)
\(32\) −789.500 652.124i −0.770996 0.636840i
\(33\) 265.449 222.738i 0.243755 0.204534i
\(34\) 310.189 1775.23i 0.268330 1.53567i
\(35\) 365.294 64.4113i 0.298200 0.0525806i
\(36\) −1584.92 + 1338.29i −1.22293 + 1.03263i
\(37\) 1197.77 0.874920 0.437460 0.899238i \(-0.355878\pi\)
0.437460 + 0.899238i \(0.355878\pi\)
\(38\) 276.217 + 1417.34i 0.191286 + 0.981534i
\(39\) 2218.59i 1.45864i
\(40\) −617.303 221.439i −0.385815 0.138400i
\(41\) 175.891 + 997.527i 0.104635 + 0.593413i 0.991366 + 0.131127i \(0.0418595\pi\)
−0.886731 + 0.462286i \(0.847029\pi\)
\(42\) 361.715 2070.12i 0.205054 1.17354i
\(43\) 1567.78 + 1868.41i 0.847910 + 1.01050i 0.999756 + 0.0220951i \(0.00703366\pi\)
−0.151846 + 0.988404i \(0.548522\pi\)
\(44\) 244.641 293.391i 0.126364 0.151545i
\(45\) −664.261 + 1150.53i −0.328030 + 0.568165i
\(46\) −808.955 465.382i −0.382304 0.219935i
\(47\) −76.6893 210.702i −0.0347168 0.0953835i 0.921123 0.389271i \(-0.127273\pi\)
−0.955840 + 0.293888i \(0.905051\pi\)
\(48\) −2370.61 + 2860.98i −1.02891 + 1.24174i
\(49\) −545.344 944.563i −0.227132 0.393404i
\(50\) 2079.98 3.21959i 0.831992 0.00128784i
\(51\) −6439.56 1135.47i −2.47580 0.436551i
\(52\) 432.162 + 2407.31i 0.159823 + 0.890276i
\(53\) −2433.90 2042.28i −0.866464 0.727050i 0.0968865 0.995295i \(-0.469112\pi\)
−0.963350 + 0.268246i \(0.913556\pi\)
\(54\) 1818.73 + 2160.67i 0.623706 + 0.740972i
\(55\) 83.6767 229.900i 0.0276617 0.0759999i
\(56\) −10.7579 2316.66i −0.00343046 0.738732i
\(57\) 5144.24 994.273i 1.58333 0.306024i
\(58\) 518.097 + 894.171i 0.154012 + 0.265806i
\(59\) 1772.62 4870.25i 0.509229 1.39909i −0.372806 0.927909i \(-0.621604\pi\)
0.882035 0.471185i \(-0.156173\pi\)
\(60\) −806.942 + 2238.59i −0.224151 + 0.621832i
\(61\) −2416.98 2028.09i −0.649551 0.545038i 0.257383 0.966309i \(-0.417140\pi\)
−0.906935 + 0.421271i \(0.861584\pi\)
\(62\) 1946.19 5372.99i 0.506294 1.39776i
\(63\) −4621.72 814.934i −1.16445 0.205325i
\(64\) −2014.97 + 3566.11i −0.491935 + 0.870632i
\(65\) 783.201 + 1356.54i 0.185373 + 0.321076i
\(66\) −1063.17 889.308i −0.244071 0.204157i
\(67\) 1540.81 + 4233.34i 0.343241 + 0.943047i 0.984448 + 0.175679i \(0.0562120\pi\)
−0.641207 + 0.767368i \(0.721566\pi\)
\(68\) −7208.49 + 22.3160i −1.55893 + 0.00482613i
\(69\) −1693.15 + 2932.62i −0.355628 + 0.615967i
\(70\) −509.619 1393.45i −0.104004 0.284378i
\(71\) −1436.32 1711.73i −0.284927 0.339562i 0.604530 0.796583i \(-0.293361\pi\)
−0.889456 + 0.457020i \(0.848917\pi\)
\(72\) 6380.91 + 5303.92i 1.23089 + 1.02313i
\(73\) 239.951 + 1360.83i 0.0450274 + 0.255363i 0.999009 0.0445010i \(-0.0141698\pi\)
−0.953982 + 0.299864i \(0.903059\pi\)
\(74\) −839.262 4716.98i −0.153262 0.861392i
\(75\) 7547.06i 1.34170i
\(76\) 5388.14 2080.90i 0.932850 0.360266i
\(77\) 864.243 0.145765
\(78\) 8737.15 1554.54i 1.43609 0.255514i
\(79\) 9952.26 1754.85i 1.59466 0.281181i 0.695407 0.718616i \(-0.255224\pi\)
0.899250 + 0.437435i \(0.144113\pi\)
\(80\) −439.523 + 2586.19i −0.0686755 + 0.404093i
\(81\) −194.535 + 163.235i −0.0296503 + 0.0248795i
\(82\) 3805.17 1391.64i 0.565908 0.206966i
\(83\) 9148.18 + 5281.70i 1.32794 + 0.766686i 0.984981 0.172664i \(-0.0552375\pi\)
0.342959 + 0.939350i \(0.388571\pi\)
\(84\) −8405.89 + 26.0230i −1.19131 + 0.00368806i
\(85\) −4338.27 + 1579.00i −0.600452 + 0.218547i
\(86\) 6259.56 7483.35i 0.846344 1.01181i
\(87\) 3247.34 1874.85i 0.429031 0.247701i
\(88\) −1326.84 757.856i −0.171337 0.0978636i
\(89\) 2171.75 12316.6i 0.274176 1.55493i −0.467391 0.884051i \(-0.654806\pi\)
0.741567 0.670879i \(-0.234083\pi\)
\(90\) 4996.42 + 1809.79i 0.616842 + 0.223431i
\(91\) −3556.76 + 4238.78i −0.429508 + 0.511868i
\(92\) −1265.92 + 3511.88i −0.149565 + 0.414919i
\(93\) −19484.5 7091.79i −2.25281 0.819955i
\(94\) −776.042 + 449.651i −0.0878273 + 0.0508885i
\(95\) 2794.42 2423.95i 0.309631 0.268582i
\(96\) 12928.0 + 7331.18i 1.40278 + 0.795484i
\(97\) 13367.7 + 4865.46i 1.42074 + 0.517107i 0.934262 0.356587i \(-0.116060\pi\)
0.486477 + 0.873694i \(0.338282\pi\)
\(98\) −3337.71 + 2809.49i −0.347534 + 0.292533i
\(99\) −1989.67 + 2371.19i −0.203007 + 0.241934i
\(100\) −1470.10 8189.02i −0.147010 0.818902i
\(101\) −2150.52 + 12196.2i −0.210815 + 1.19559i 0.677208 + 0.735792i \(0.263190\pi\)
−0.888023 + 0.459799i \(0.847921\pi\)
\(102\) 40.4861 + 26155.6i 0.00389140 + 2.51399i
\(103\) 3703.31 2138.11i 0.349073 0.201537i −0.315204 0.949024i \(-0.602073\pi\)
0.664277 + 0.747487i \(0.268740\pi\)
\(104\) 9177.53 3388.69i 0.848514 0.313304i
\(105\) −5058.90 + 1841.29i −0.458857 + 0.167010i
\(106\) −6337.41 + 11016.1i −0.564027 + 0.980426i
\(107\) −5871.84 3390.11i −0.512869 0.296105i 0.221143 0.975241i \(-0.429021\pi\)
−0.734012 + 0.679136i \(0.762355\pi\)
\(108\) 7234.70 8676.38i 0.620258 0.743860i
\(109\) −7822.79 + 6564.10i −0.658429 + 0.552487i −0.909615 0.415451i \(-0.863624\pi\)
0.251187 + 0.967939i \(0.419179\pi\)
\(110\) −964.012 168.443i −0.0796704 0.0139209i
\(111\) −17119.9 + 3018.70i −1.38949 + 0.245005i
\(112\) −9115.83 + 1665.63i −0.726708 + 0.132783i
\(113\) 20741.0 1.62432 0.812162 0.583432i \(-0.198290\pi\)
0.812162 + 0.583432i \(0.198290\pi\)
\(114\) −7520.11 19562.1i −0.578648 1.50524i
\(115\) 2390.84i 0.180782i
\(116\) 3158.35 2666.88i 0.234717 0.198193i
\(117\) −3441.39 19517.1i −0.251398 1.42575i
\(118\) −20421.8 3568.33i −1.46666 0.256272i
\(119\) −10482.9 12493.0i −0.740265 0.882214i
\(120\) 9381.34 + 1609.30i 0.651482 + 0.111757i
\(121\) −7035.49 + 12185.8i −0.480533 + 0.832308i
\(122\) −6293.36 + 10939.5i −0.422827 + 0.734984i
\(123\) −5028.09 13814.6i −0.332348 0.913118i
\(124\) −22523.3 3899.61i −1.46484 0.253617i
\(125\) −5866.48 10161.0i −0.375455 0.650307i
\(126\) 29.0572 + 18772.0i 0.00183026 + 1.18242i
\(127\) 19404.3 + 3421.51i 1.20307 + 0.212134i 0.739025 0.673678i \(-0.235286\pi\)
0.464045 + 0.885811i \(0.346397\pi\)
\(128\) 15455.7 + 5436.51i 0.943343 + 0.331818i
\(129\) −27117.6 22754.4i −1.62957 1.36737i
\(130\) 4793.50 4034.88i 0.283639 0.238750i
\(131\) −2770.67 + 7612.36i −0.161452 + 0.443585i −0.993869 0.110564i \(-0.964734\pi\)
0.832417 + 0.554149i \(0.186956\pi\)
\(132\) −2757.27 + 4810.07i −0.158246 + 0.276060i
\(133\) 11422.4 + 6347.41i 0.645736 + 0.358834i
\(134\) 15591.9 9034.19i 0.868339 0.503130i
\(135\) 2474.55 6798.77i 0.135778 0.373046i
\(136\) 5138.80 + 28372.5i 0.277833 + 1.53398i
\(137\) 358.048 + 300.438i 0.0190766 + 0.0160071i 0.652276 0.757981i \(-0.273814\pi\)
−0.633199 + 0.773989i \(0.718259\pi\)
\(138\) 12735.5 + 4613.02i 0.668739 + 0.242229i
\(139\) −13003.4 2292.85i −0.673020 0.118672i −0.173314 0.984867i \(-0.555447\pi\)
−0.499706 + 0.866195i \(0.666559\pi\)
\(140\) −5130.54 + 2983.34i −0.261762 + 0.152211i
\(141\) 1627.16 + 2818.33i 0.0818452 + 0.141760i
\(142\) −5734.66 + 6855.82i −0.284401 + 0.340003i
\(143\) 1248.24 + 3429.52i 0.0610418 + 0.167711i
\(144\) 16416.6 28845.4i 0.791696 1.39108i
\(145\) 1323.71 2292.73i 0.0629588 0.109048i
\(146\) 5191.02 1898.48i 0.243527 0.0890637i
\(147\) 10175.3 + 12126.4i 0.470881 + 0.561174i
\(148\) −17988.1 + 6610.28i −0.821226 + 0.301784i
\(149\) 3895.49 + 22092.4i 0.175465 + 0.995110i 0.937606 + 0.347699i \(0.113037\pi\)
−0.762141 + 0.647411i \(0.775852\pi\)
\(150\) −29721.5 + 5288.14i −1.32095 + 0.235029i
\(151\) 41144.0i 1.80448i 0.431234 + 0.902240i \(0.358078\pi\)
−0.431234 + 0.902240i \(0.641922\pi\)
\(152\) −11970.3 19761.2i −0.518105 0.855317i
\(153\) 58410.5 2.49522
\(154\) −605.566 3403.52i −0.0255341 0.143512i
\(155\) −14417.2 + 2542.14i −0.600092 + 0.105812i
\(156\) −12244.1 33319.0i −0.503125 1.36912i
\(157\) −5990.20 + 5026.37i −0.243020 + 0.203918i −0.756160 0.654387i \(-0.772927\pi\)
0.513140 + 0.858305i \(0.328482\pi\)
\(158\) −13884.3 37963.9i −0.556173 1.52075i
\(159\) 39935.3 + 23056.7i 1.57966 + 0.912016i
\(160\) 10492.8 81.2103i 0.409875 0.00317228i
\(161\) −7936.33 + 2888.59i −0.306174 + 0.111438i
\(162\) 779.151 + 651.733i 0.0296887 + 0.0248336i
\(163\) −12596.4 + 7272.56i −0.474103 + 0.273724i −0.717956 0.696089i \(-0.754922\pi\)
0.243853 + 0.969812i \(0.421589\pi\)
\(164\) −8146.74 14010.2i −0.302898 0.520903i
\(165\) −616.597 + 3496.89i −0.0226482 + 0.128444i
\(166\) 14390.1 39727.7i 0.522213 1.44171i
\(167\) 17901.1 21333.7i 0.641870 0.764951i −0.342795 0.939410i \(-0.611373\pi\)
0.984664 + 0.174460i \(0.0558179\pi\)
\(168\) 5992.40 + 33085.4i 0.212316 + 1.17224i
\(169\) 4880.98 + 1776.53i 0.170897 + 0.0622014i
\(170\) 9258.12 + 15978.4i 0.320350 + 0.552885i
\(171\) −43712.0 + 16726.2i −1.49489 + 0.572013i
\(172\) −33856.6 19407.6i −1.14442 0.656017i
\(173\) 24737.5 + 9003.71i 0.826539 + 0.300835i 0.720438 0.693520i \(-0.243941\pi\)
0.106101 + 0.994355i \(0.466163\pi\)
\(174\) −9658.82 11474.8i −0.319026 0.379007i
\(175\) 12099.1 14419.2i 0.395074 0.470831i
\(176\) −2054.85 + 5756.30i −0.0663369 + 0.185831i
\(177\) −13062.1 + 74078.9i −0.416934 + 2.36455i
\(178\) −50026.3 + 77.4356i −1.57891 + 0.00244400i
\(179\) 6591.27 3805.47i 0.205714 0.118769i −0.393604 0.919280i \(-0.628772\pi\)
0.599318 + 0.800511i \(0.295439\pi\)
\(180\) 3626.30 20944.7i 0.111923 0.646443i
\(181\) 41742.1 15192.9i 1.27414 0.463749i 0.385651 0.922645i \(-0.373977\pi\)
0.888490 + 0.458896i \(0.151755\pi\)
\(182\) 19185.1 + 11037.0i 0.579191 + 0.333202i
\(183\) 39657.8 + 22896.4i 1.18420 + 0.683700i
\(184\) 14717.3 + 2524.65i 0.434703 + 0.0745702i
\(185\) −9402.21 + 7889.39i −0.274718 + 0.230516i
\(186\) −14275.9 + 81702.2i −0.412647 + 2.36161i
\(187\) −10593.2 + 1867.86i −0.302931 + 0.0534148i
\(188\) 2314.56 + 2741.10i 0.0654866 + 0.0775550i
\(189\) 25558.0 0.715491
\(190\) −11503.9 9306.41i −0.318667 0.257795i
\(191\) 10364.0i 0.284092i −0.989860 0.142046i \(-0.954632\pi\)
0.989860 0.142046i \(-0.0453681\pi\)
\(192\) 19812.8 56049.4i 0.537456 1.52044i
\(193\) −3605.70 20448.9i −0.0967998 0.548979i −0.994181 0.107723i \(-0.965644\pi\)
0.897381 0.441256i \(-0.145467\pi\)
\(194\) 9794.28 56053.3i 0.260237 1.48935i
\(195\) −14613.3 17415.5i −0.384309 0.458001i
\(196\) 13402.9 + 11175.8i 0.348889 + 0.290916i
\(197\) 20722.4 35892.3i 0.533959 0.924844i −0.465254 0.885177i \(-0.654037\pi\)
0.999213 0.0396667i \(-0.0126296\pi\)
\(198\) 10732.3 + 6174.14i 0.273754 + 0.157488i
\(199\) −23906.1 65681.4i −0.603673 1.65858i −0.743765 0.668441i \(-0.766962\pi\)
0.140092 0.990138i \(-0.455260\pi\)
\(200\) −31219.5 + 11527.4i −0.780488 + 0.288186i
\(201\) −32692.3 56624.7i −0.809195 1.40157i
\(202\) 49537.4 76.6788i 1.21403 0.00187920i
\(203\) 9209.95 + 1623.96i 0.223494 + 0.0394080i
\(204\) 102976. 18486.4i 2.47444 0.444213i
\(205\) −7951.18 6671.83i −0.189201 0.158759i
\(206\) −11015.1 13086.0i −0.259569 0.308371i
\(207\) 10345.8 28424.8i 0.241447 0.663370i
\(208\) −19775.8 33768.1i −0.457096 0.780512i
\(209\) 7392.62 4431.26i 0.169241 0.101446i
\(210\) 10796.0 + 18632.5i 0.244807 + 0.422506i
\(211\) −20565.6 + 56503.4i −0.461930 + 1.26914i 0.462103 + 0.886827i \(0.347095\pi\)
−0.924032 + 0.382315i \(0.875127\pi\)
\(212\) 47823.5 + 17238.8i 1.06407 + 0.383563i
\(213\) 24843.6 + 20846.3i 0.547590 + 0.459482i
\(214\) −9236.42 + 25499.6i −0.201686 + 0.556808i
\(215\) −24613.6 4340.04i −0.532473 0.0938894i
\(216\) −39238.2 22411.9i −0.841010 0.480364i
\(217\) −25857.3 44786.2i −0.549116 0.951096i
\(218\) 31331.8 + 26207.9i 0.659283 + 0.551467i
\(219\) −6859.34 18845.9i −0.143019 0.392942i
\(220\) 12.1184 + 3914.45i 0.000250379 + 0.0808771i
\(221\) 34434.7 59642.6i 0.705036 1.22116i
\(222\) 23883.9 + 65305.7i 0.484617 + 1.32509i
\(223\) −7177.70 8554.04i −0.144336 0.172013i 0.689033 0.724730i \(-0.258036\pi\)
−0.833369 + 0.552717i \(0.813591\pi\)
\(224\) 12946.9 + 34732.4i 0.258029 + 0.692212i
\(225\) 11706.7 + 66392.0i 0.231243 + 1.31145i
\(226\) −14533.0 81681.2i −0.284537 1.59921i
\(227\) 24088.1i 0.467468i −0.972301 0.233734i \(-0.924906\pi\)
0.972301 0.233734i \(-0.0750944\pi\)
\(228\) −71769.4 + 43322.3i −1.38060 + 0.833378i
\(229\) 63976.3 1.21997 0.609983 0.792414i \(-0.291176\pi\)
0.609983 + 0.792414i \(0.291176\pi\)
\(230\) 9415.49 1675.24i 0.177987 0.0316680i
\(231\) −12352.8 + 2178.13i −0.231495 + 0.0408188i
\(232\) −12715.6 10569.4i −0.236244 0.196370i
\(233\) −70066.5 + 58792.8i −1.29062 + 1.08296i −0.298936 + 0.954273i \(0.596632\pi\)
−0.991685 + 0.128686i \(0.958924\pi\)
\(234\) −74450.0 + 27228.1i −1.35967 + 0.497263i
\(235\) 1989.84 + 1148.83i 0.0360315 + 0.0208028i
\(236\) 256.718 + 82924.5i 0.00460927 + 1.48888i
\(237\) −137827. + 50164.9i −2.45379 + 0.893107i
\(238\) −41854.2 + 50037.0i −0.738899 + 0.883359i
\(239\) −64025.5 + 36965.2i −1.12088 + 0.647138i −0.941624 0.336666i \(-0.890701\pi\)
−0.179251 + 0.983803i \(0.557367\pi\)
\(240\) −235.733 38072.7i −0.00409259 0.660985i
\(241\) 3965.54 22489.7i 0.0682761 0.387213i −0.931451 0.363866i \(-0.881457\pi\)
0.999727 0.0233470i \(-0.00743226\pi\)
\(242\) 52919.3 + 19168.3i 0.903615 + 0.327306i
\(243\) 39130.6 46634.0i 0.662680 0.789751i
\(244\) 47491.1 + 17119.0i 0.797687 + 0.287541i
\(245\) 10502.4 + 3822.58i 0.174968 + 0.0636831i
\(246\) −50880.7 + 29481.1i −0.840781 + 0.487162i
\(247\) −8690.40 + 54494.6i −0.142445 + 0.893222i
\(248\) 424.587 + 91432.6i 0.00690341 + 1.48661i
\(249\) −144068. 52436.5i −2.32364 0.845737i
\(250\) −35905.2 + 30222.8i −0.574483 + 0.483565i
\(251\) 8926.59 10638.3i 0.141690 0.168859i −0.690533 0.723301i \(-0.742624\pi\)
0.832222 + 0.554442i \(0.187068\pi\)
\(252\) 73906.8 13267.8i 1.16381 0.208929i
\(253\) −967.309 + 5485.88i −0.0151121 + 0.0857048i
\(254\) −121.997 78814.6i −0.00189095 1.22163i
\(255\) 58028.3 33502.6i 0.892399 0.515227i
\(256\) 10580.1 64676.3i 0.161440 0.986883i
\(257\) −83396.3 + 30353.8i −1.26264 + 0.459565i −0.884655 0.466246i \(-0.845606\pi\)
−0.377988 + 0.925810i \(0.623384\pi\)
\(258\) −70609.1 + 122737.i −1.06077 + 1.84389i
\(259\) −37548.3 21678.5i −0.559745 0.323169i
\(260\) −19248.7 16050.3i −0.284745 0.237431i
\(261\) −25658.8 + 21530.3i −0.376666 + 0.316060i
\(262\) 31920.0 + 5577.43i 0.465008 + 0.0812515i
\(263\) 113280. 19974.3i 1.63772 0.288775i 0.722394 0.691482i \(-0.243042\pi\)
0.915329 + 0.402707i \(0.131931\pi\)
\(264\) 20874.8 + 7488.20i 0.299512 + 0.107441i
\(265\) 32557.6 0.463618
\(266\) 16993.5 49430.8i 0.240170 0.698609i
\(267\) 181517.i 2.54621i
\(268\) −46503.1 55073.1i −0.647459 0.766778i
\(269\) −18495.6 104894.i −0.255601 1.44959i −0.794524 0.607232i \(-0.792280\pi\)
0.538923 0.842355i \(-0.318831\pi\)
\(270\) −28508.5 4981.32i −0.391063 0.0683309i
\(271\) 29364.3 + 34995.0i 0.399836 + 0.476506i 0.927970 0.372655i \(-0.121553\pi\)
−0.528134 + 0.849161i \(0.677108\pi\)
\(272\) 108134. 40117.7i 1.46159 0.542248i
\(273\) 40154.6 69549.8i 0.538778 0.933191i
\(274\) 932.290 1620.56i 0.0124180 0.0215856i
\(275\) −4246.19 11666.3i −0.0561480 0.154265i
\(276\) 9243.15 53386.4i 0.121339 0.700830i
\(277\) 56350.4 + 97601.7i 0.734408 + 1.27203i 0.954983 + 0.296661i \(0.0958733\pi\)
−0.220575 + 0.975370i \(0.570793\pi\)
\(278\) 81.7537 + 52816.0i 0.00105783 + 0.683401i
\(279\) 182407. + 32163.3i 2.34333 + 0.413192i
\(280\) 15343.7 + 18114.5i 0.195711 + 0.231052i
\(281\) −91159.1 76491.5i −1.15448 0.968725i −0.154667 0.987967i \(-0.549431\pi\)
−0.999815 + 0.0192411i \(0.993875\pi\)
\(282\) 9958.88 8382.80i 0.125231 0.105412i
\(283\) 22518.3 61868.5i 0.281166 0.772497i −0.716058 0.698041i \(-0.754055\pi\)
0.997224 0.0744568i \(-0.0237223\pi\)
\(284\) 31017.5 + 17780.1i 0.384565 + 0.220444i
\(285\) −33832.2 + 41688.7i −0.416524 + 0.513250i
\(286\) 12631.3 7318.80i 0.154425 0.0894763i
\(287\) 12540.4 34454.5i 0.152247 0.418295i
\(288\) −125101. 44439.4i −1.50825 0.535776i
\(289\) 91510.7 + 76786.6i 1.09566 + 0.919369i
\(290\) −9956.64 3606.48i −0.118390 0.0428832i
\(291\) −203330. 35852.6i −2.40113 0.423384i
\(292\) −11113.8 19112.8i −0.130346 0.224160i
\(293\) 11384.3 + 19718.1i 0.132608 + 0.229684i 0.924681 0.380743i \(-0.124332\pi\)
−0.792073 + 0.610426i \(0.790998\pi\)
\(294\) 40626.0 48568.6i 0.470012 0.561903i
\(295\) 18164.4 + 49906.3i 0.208726 + 0.573470i
\(296\) 38636.4 + 66208.2i 0.440974 + 0.755664i
\(297\) 8428.66 14598.9i 0.0955533 0.165503i
\(298\) 84273.8 30821.0i 0.948987 0.347067i
\(299\) −22925.2 27321.2i −0.256431 0.305603i
\(300\) 41651.0 + 113342.i 0.462789 + 1.25936i
\(301\) −15331.2 86947.7i −0.169217 0.959677i
\(302\) 162031. 28829.1i 1.77658 0.316095i
\(303\) 179743.i 1.95779i
\(304\) −69435.3 + 60987.4i −0.751334 + 0.659922i
\(305\) 32331.3 0.347555
\(306\) −40927.6 230029.i −0.437093 2.45663i
\(307\) −14155.2 + 2495.95i −0.150190 + 0.0264825i −0.248237 0.968699i \(-0.579851\pi\)
0.0980478 + 0.995182i \(0.468740\pi\)
\(308\) −12979.3 + 4769.62i −0.136820 + 0.0502785i
\(309\) −47543.6 + 39893.8i −0.497938 + 0.417819i
\(310\) 20113.3 + 54995.9i 0.209296 + 0.572278i
\(311\) 12059.3 + 6962.46i 0.124682 + 0.0719850i 0.561044 0.827786i \(-0.310400\pi\)
−0.436362 + 0.899771i \(0.643733\pi\)
\(312\) −122636. + 71565.2i −1.25982 + 0.735179i
\(313\) −54768.3 + 19934.0i −0.559037 + 0.203473i −0.606057 0.795421i \(-0.707250\pi\)
0.0470200 + 0.998894i \(0.485028\pi\)
\(314\) 23991.9 + 20068.4i 0.243335 + 0.203542i
\(315\) 41647.3 24045.1i 0.419726 0.242329i
\(316\) −139779. + 81279.4i −1.39980 + 0.813966i
\(317\) 838.846 4757.33i 0.00834764 0.0473418i −0.980349 0.197269i \(-0.936793\pi\)
0.988697 + 0.149927i \(0.0479039\pi\)
\(318\) 62818.4 173427.i 0.621202 1.71499i
\(319\) 3964.92 4725.21i 0.0389631 0.0464344i
\(320\) −7672.01 41265.3i −0.0749220 0.402981i
\(321\) 92471.4 + 33656.8i 0.897423 + 0.326635i
\(322\) 16936.6 + 29230.5i 0.163348 + 0.281919i
\(323\) −153725. 53114.4i −1.47346 0.509105i
\(324\) 2020.68 3525.08i 0.0192490 0.0335799i
\(325\) 74693.8 + 27186.3i 0.707160 + 0.257385i
\(326\) 37466.6 + 44510.9i 0.352541 + 0.418824i
\(327\) 95269.4 113538.i 0.890960 1.06180i
\(328\) −49466.0 + 41899.9i −0.459790 + 0.389462i
\(329\) −1409.42 + 7993.23i −0.0130211 + 0.0738466i
\(330\) 14203.3 21.9853i 0.130426 0.000201885i
\(331\) −77678.5 + 44847.7i −0.708997 + 0.409340i −0.810690 0.585476i \(-0.800908\pi\)
0.101692 + 0.994816i \(0.467574\pi\)
\(332\) −166537. 28833.6i −1.51089 0.261591i
\(333\) 145923. 53111.5i 1.31593 0.478961i
\(334\) −96558.5 55549.0i −0.865561 0.497947i
\(335\) −39979.0 23081.9i −0.356240 0.205675i
\(336\) 126097. 46781.6i 1.11693 0.414378i
\(337\) 77453.5 64991.2i 0.681995 0.572262i −0.234593 0.972094i \(-0.575376\pi\)
0.916589 + 0.399832i \(0.130931\pi\)
\(338\) 3576.20 20466.9i 0.0313032 0.179150i
\(339\) −296455. + 52273.1i −2.57965 + 0.454861i
\(340\) 56438.2 47655.8i 0.488219 0.412247i
\(341\) −34109.4 −0.293336
\(342\) 96498.9 + 160424.i 0.825031 + 1.37157i
\(343\) 126393.i 1.07432i
\(344\) −52707.1 + 146931.i −0.445402 + 1.24164i
\(345\) −6025.58 34172.8i −0.0506245 0.287106i
\(346\) 18124.7 103729.i 0.151397 0.866457i
\(347\) 34018.6 + 40541.8i 0.282525 + 0.336701i 0.888579 0.458723i \(-0.151693\pi\)
−0.606054 + 0.795424i \(0.707248\pi\)
\(348\) −38421.7 + 46078.2i −0.317262 + 0.380484i
\(349\) 47405.0 82107.9i 0.389201 0.674115i −0.603142 0.797634i \(-0.706085\pi\)
0.992342 + 0.123519i \(0.0394180\pi\)
\(350\) −65262.7 37544.9i −0.532757 0.306489i
\(351\) 36914.0 + 101420.i 0.299624 + 0.823211i
\(352\) 24109.0 + 4058.93i 0.194578 + 0.0327587i
\(353\) 40781.9 + 70636.3i 0.327279 + 0.566863i 0.981971 0.189032i \(-0.0605351\pi\)
−0.654692 + 0.755896i \(0.727202\pi\)
\(354\) 300887. 465.741i 2.40102 0.00371653i
\(355\) 22549.6 + 3976.10i 0.178929 + 0.0315501i
\(356\) 35357.9 + 196957.i 0.278988 + 1.55407i
\(357\) 181320. + 152146.i 1.42269 + 1.19378i
\(358\) −19605.0 23291.0i −0.152968 0.181728i
\(359\) −8816.23 + 24222.4i −0.0684059 + 0.187944i −0.969185 0.246334i \(-0.920774\pi\)
0.900779 + 0.434278i \(0.142996\pi\)
\(360\) −85024.5 + 394.830i −0.656053 + 0.00304653i
\(361\) 130251. 4271.59i 0.999463 0.0327774i
\(362\) −89080.2 153741.i −0.679773 1.17320i
\(363\) 69848.0 191906.i 0.530079 1.45638i
\(364\) 30022.5 83287.5i 0.226592 0.628604i
\(365\) −10847.0 9101.73i −0.0814188 0.0683185i
\(366\) 62381.8 172222.i 0.465689 1.28566i
\(367\) 721.003 + 127.132i 0.00535310 + 0.000943895i 0.176324 0.984332i \(-0.443579\pi\)
−0.170971 + 0.985276i \(0.554690\pi\)
\(368\) −369.815 59728.0i −0.00273080 0.441044i
\(369\) 65661.1 + 113728.i 0.482231 + 0.835249i
\(370\) 37657.7 + 31499.3i 0.275074 + 0.230090i
\(371\) 39335.8 + 108074.i 0.285785 + 0.785188i
\(372\) 331758. 1027.06i 2.39738 0.00742180i
\(373\) 82738.1 143307.i 0.594686 1.03003i −0.398905 0.916992i \(-0.630610\pi\)
0.993591 0.113034i \(-0.0360570\pi\)
\(374\) 14778.5 + 40408.8i 0.105654 + 0.288890i
\(375\) 109460. + 130449.i 0.778379 + 0.927636i
\(376\) 9173.10 11035.7i 0.0648844 0.0780595i
\(377\) 6857.85 + 38892.8i 0.0482509 + 0.273644i
\(378\) −17908.2 100651.i −0.125334 0.704428i
\(379\) 181226.i 1.26166i 0.775921 + 0.630830i \(0.217285\pi\)
−0.775921 + 0.630830i \(0.782715\pi\)
\(380\) −28589.4 + 51825.0i −0.197988 + 0.358899i
\(381\) −285973. −1.97004
\(382\) −40814.9 + 7261.92i −0.279700 + 0.0497651i
\(383\) −26807.4 + 4726.88i −0.182750 + 0.0322238i −0.264274 0.964448i \(-0.585132\pi\)
0.0815240 + 0.996671i \(0.474021\pi\)
\(384\) −234614. 38752.5i −1.59108 0.262807i
\(385\) −6784.13 + 5692.56i −0.0457691 + 0.0384049i
\(386\) −78004.5 + 28528.1i −0.523534 + 0.191469i
\(387\) 273851. + 158108.i 1.82849 + 1.05568i
\(388\) −227609. + 704.633i −1.51191 + 0.00468058i
\(389\) −180903. + 65843.3i −1.19549 + 0.435123i −0.861649 0.507505i \(-0.830568\pi\)
−0.333843 + 0.942629i \(0.608345\pi\)
\(390\) −58345.4 + 69752.4i −0.383599 + 0.458595i
\(391\) 91033.9 52558.5i 0.595456 0.343787i
\(392\) 34620.9 60613.4i 0.225303 0.394454i
\(393\) 20416.5 115788.i 0.132190 0.749684i
\(394\) −155869. 56458.6i −1.00408 0.363696i
\(395\) −66564.4 + 79328.3i −0.426626 + 0.508433i
\(396\) 16794.7 46591.4i 0.107098 0.297109i
\(397\) −102308. 37237.1i −0.649125 0.236262i −0.00359108 0.999994i \(-0.501143\pi\)
−0.645534 + 0.763731i \(0.723365\pi\)
\(398\) −241913. + 140168.i −1.52719 + 0.884877i
\(399\) −179260. 61937.2i −1.12600 0.389050i
\(400\) 67271.9 + 114870.i 0.420450 + 0.717937i
\(401\) −145228. 52858.8i −0.903156 0.328722i −0.151639 0.988436i \(-0.548455\pi\)
−0.751517 + 0.659714i \(0.770677\pi\)
\(402\) −200090. + 168424.i −1.23815 + 1.04220i
\(403\) 140376. 167293.i 0.864336 1.03008i
\(404\) −35012.3 195032.i −0.214515 1.19493i
\(405\) 451.876 2562.72i 0.00275492 0.0156239i
\(406\) −57.9038 37408.1i −0.000351282 0.226941i
\(407\) −24765.7 + 14298.5i −0.149507 + 0.0863181i
\(408\) −144956. 392583.i −0.870798 2.35836i
\(409\) 103111. 37529.2i 0.616391 0.224348i −0.0149063 0.999889i \(-0.504745\pi\)
0.631297 + 0.775541i \(0.282523\pi\)
\(410\) −20703.4 + 35987.8i −0.123161 + 0.214086i
\(411\) −5874.85 3391.84i −0.0347787 0.0200795i
\(412\) −43816.7 + 52548.2i −0.258134 + 0.309573i
\(413\) −143716. + 120592.i −0.842571 + 0.707001i
\(414\) −119190. 20826.3i −0.695408 0.121510i
\(415\) −106601. + 18796.6i −0.618961 + 0.109140i
\(416\) −119127. + 101541.i −0.688373 + 0.586752i
\(417\) 191639. 1.10208
\(418\) −22630.9 26008.3i −0.129524 0.148854i
\(419\) 102824.i 0.585691i −0.956160 0.292845i \(-0.905398\pi\)
0.956160 0.292845i \(-0.0946021\pi\)
\(420\) 65813.1 55571.8i 0.373090 0.315033i
\(421\) 59436.4 + 337081.i 0.335342 + 1.90182i 0.423827 + 0.905743i \(0.360687\pi\)
−0.0884842 + 0.996078i \(0.528202\pi\)
\(422\) 236929. + 41399.0i 1.33043 + 0.232469i
\(423\) −18686.0 22269.1i −0.104432 0.124458i
\(424\) 34379.8 200415.i 0.191237 1.11480i
\(425\) −117137. + 202888.i −0.648512 + 1.12326i
\(426\) 64688.1 112445.i 0.356455 0.619612i
\(427\) 39062.4 + 107323.i 0.214241 + 0.588622i
\(428\) 106893. + 18507.1i 0.583529 + 0.101030i
\(429\) −26484.8 45873.0i −0.143907 0.249254i
\(430\) 154.748 + 99973.0i 0.000836927 + 0.540687i
\(431\) −51860.3 9144.37i −0.279178 0.0492265i 0.0323062 0.999478i \(-0.489715\pi\)
−0.311484 + 0.950251i \(0.600826\pi\)
\(432\) −60767.6 + 170230.i −0.325615 + 0.912153i
\(433\) 152164. + 127681.i 0.811591 + 0.681005i 0.950987 0.309231i \(-0.100072\pi\)
−0.139396 + 0.990237i \(0.544516\pi\)
\(434\) −158257. + 133211.i −0.840200 + 0.707231i
\(435\) −13141.7 + 36106.6i −0.0694503 + 0.190813i
\(436\) 81257.0 141753.i 0.427452 0.745691i
\(437\) −53075.5 + 65400.7i −0.277927 + 0.342468i
\(438\) −69411.6 + 40218.2i −0.361813 + 0.209640i
\(439\) −71127.1 + 195420.i −0.369068 + 1.01401i 0.606649 + 0.794970i \(0.292513\pi\)
−0.975717 + 0.219036i \(0.929709\pi\)
\(440\) 15407.2 2790.54i 0.0795827 0.0144139i
\(441\) −108323. 90893.4i −0.556983 0.467364i
\(442\) −259009. 93817.9i −1.32578 0.480221i
\(443\) 169602. + 29905.3i 0.864216 + 0.152385i 0.588148 0.808753i \(-0.299857\pi\)
0.276068 + 0.961138i \(0.410968\pi\)
\(444\) 240448. 139817.i 1.21971 0.709242i
\(445\) 64078.7 + 110988.i 0.323589 + 0.560472i
\(446\) −28657.8 + 34260.6i −0.144070 + 0.172236i
\(447\) −111358. 305954.i −0.557323 1.53123i
\(448\) 127710. 75323.3i 0.636309 0.375296i
\(449\) −49234.0 + 85275.7i −0.244215 + 0.422993i −0.961911 0.273364i \(-0.911864\pi\)
0.717696 + 0.696357i \(0.245197\pi\)
\(450\) 253259. 92622.9i 1.25066 0.457397i
\(451\) −15544.9 18525.7i −0.0764251 0.0910799i
\(452\) −311490. + 114466.i −1.52464 + 0.560274i
\(453\) −103694. 588079.i −0.505310 2.86576i
\(454\) −94862.7 + 16878.3i −0.460240 + 0.0818874i
\(455\) 56701.0i 0.273885i
\(456\) 220898. + 252283.i 1.06234 + 1.21327i
\(457\) −89403.5 −0.428077 −0.214039 0.976825i \(-0.568662\pi\)
−0.214039 + 0.976825i \(0.568662\pi\)
\(458\) −44827.5 251948.i −0.213704 1.20110i
\(459\) −313269. + 55237.8i −1.48694 + 0.262187i
\(460\) −13194.7 35905.8i −0.0623567 0.169687i
\(461\) 219673. 184328.i 1.03365 0.867339i 0.0423730 0.999102i \(-0.486508\pi\)
0.991281 + 0.131763i \(0.0420638\pi\)
\(462\) 17233.3 + 47121.0i 0.0807392 + 0.220765i
\(463\) 223185. + 128856.i 1.04113 + 0.601094i 0.920152 0.391562i \(-0.128065\pi\)
0.120974 + 0.992656i \(0.461398\pi\)
\(464\) −32714.3 + 57481.8i −0.151950 + 0.266990i
\(465\) 199661. 72670.8i 0.923396 0.336089i
\(466\) 280630. + 234737.i 1.29230 + 1.08096i
\(467\) −228783. + 132088.i −1.04903 + 0.605660i −0.922379 0.386287i \(-0.873758\pi\)
−0.126655 + 0.991947i \(0.540424\pi\)
\(468\) 159395. + 274117.i 0.727751 + 1.25154i
\(469\) 28317.5 160597.i 0.128739 0.730114i
\(470\) 3130.02 8641.27i 0.0141694 0.0391184i
\(471\) 72951.3 86940.0i 0.328845 0.391902i
\(472\) 326389. 59115.3i 1.46505 0.265348i
\(473\) −54720.9 19916.8i −0.244586 0.0890219i
\(474\) 294131. + 507633.i 1.30913 + 2.25940i
\(475\) 29562.4 185376.i 0.131025 0.821611i
\(476\) 226380. + 129768.i 0.999135 + 0.572734i
\(477\) −387078. 140885.i −1.70123 0.619196i
\(478\) 190436. + 226241.i 0.833478 + 0.990184i
\(479\) 210409. 250756.i 0.917052 1.09290i −0.0783324 0.996927i \(-0.524960\pi\)
0.995384 0.0959723i \(-0.0305960\pi\)
\(480\) −149771. + 27605.5i −0.650048 + 0.119816i
\(481\) 31793.7 180311.i 0.137420 0.779350i
\(482\) −91346.5 + 141.395i −0.393186 + 0.000608611i
\(483\) 106156. 61288.9i 0.455039 0.262717i
\(484\) 38407.8 221835.i 0.163957 0.946978i
\(485\) −136982. + 49857.2i −0.582342 + 0.211955i
\(486\) −211070. 121426.i −0.893623 0.514091i
\(487\) −242387. 139942.i −1.02200 0.590052i −0.107318 0.994225i \(-0.534226\pi\)
−0.914683 + 0.404172i \(0.867560\pi\)
\(488\) 34140.8 199022.i 0.143362 0.835722i
\(489\) 161715. 135695.i 0.676288 0.567473i
\(490\) 7694.93 44038.6i 0.0320489 0.183418i
\(491\) 305590. 53883.7i 1.26758 0.223509i 0.500882 0.865516i \(-0.333009\pi\)
0.766699 + 0.642007i \(0.221898\pi\)
\(492\) 151753. + 179719.i 0.626911 + 0.742444i
\(493\) −116398. −0.478907
\(494\) 220697. 3959.63i 0.904363 0.0162256i
\(495\) 31718.8i 0.129451i
\(496\) 359778. 65737.9i 1.46242 0.267210i
\(497\) 14045.6 + 79656.5i 0.0568627 + 0.322484i
\(498\) −105556. + 604104.i −0.425622 + 2.43586i
\(499\) −11085.1 13210.8i −0.0445185 0.0530551i 0.743326 0.668930i \(-0.233247\pi\)
−0.787844 + 0.615875i \(0.788803\pi\)
\(500\) 144180. + 120223.i 0.576722 + 0.480893i
\(501\) −202097. + 350043.i −0.805166 + 1.39459i
\(502\) −48150.0 27700.1i −0.191068 0.109919i
\(503\) −9368.01 25738.4i −0.0370264 0.101729i 0.919802 0.392383i \(-0.128349\pi\)
−0.956828 + 0.290654i \(0.906127\pi\)
\(504\) −104036. 281759.i −0.409566 1.10922i
\(505\) −63452.4 109903.i −0.248809 0.430949i
\(506\) 22282.0 34.4902i 0.0870269 0.000134709i
\(507\) −74242.3 13090.9i −0.288825 0.0509277i
\(508\) −310298. + 55705.0i −1.20241 + 0.215857i
\(509\) 199820. + 167669.i 0.771264 + 0.647168i 0.941032 0.338317i \(-0.109857\pi\)
−0.169768 + 0.985484i \(0.554302\pi\)
\(510\) −172598. 205049.i −0.663584 0.788347i
\(511\) 17107.7 47003.0i 0.0655163 0.180005i
\(512\) −262119. + 3651.82i −0.999903 + 0.0139306i
\(513\) 218620. 131044.i 0.830720 0.497948i
\(514\) 177973. + 307159.i 0.673639 + 1.16262i
\(515\) −14987.0 + 41176.5i −0.0565068 + 0.155251i
\(516\) 532832. + 192069.i 2.00120 + 0.721369i
\(517\) 4100.96 + 3441.12i 0.0153428 + 0.0128741i
\(518\) −59063.6 + 163061.i −0.220120 + 0.607701i
\(519\) −376270. 66346.5i −1.39690 0.246311i
\(520\) −49721.2 + 87050.7i −0.183880 + 0.321933i
\(521\) −6274.77 10868.2i −0.0231165 0.0400389i 0.854236 0.519886i \(-0.174026\pi\)
−0.877352 + 0.479847i \(0.840692\pi\)
\(522\) 102769. + 85962.3i 0.377155 + 0.315477i
\(523\) −19840.9 54512.5i −0.0725368 0.199293i 0.898126 0.439738i \(-0.144929\pi\)
−0.970663 + 0.240445i \(0.922707\pi\)
\(524\) −401.259 129614.i −0.00146138 0.472051i
\(525\) −136595. + 236590.i −0.495583 + 0.858375i
\(526\) −158035. 432117.i −0.571193 1.56181i
\(527\) 413733. + 493067.i 1.48970 + 1.77535i
\(528\) 14862.9 87454.8i 0.0533134 0.313701i
\(529\) 39141.0 + 221980.i 0.139869 + 0.793235i
\(530\) −22812.8 128217.i −0.0812131 0.456450i
\(531\) 671939.i 2.38309i
\(532\) −206573. 32287.3i −0.729878 0.114080i
\(533\) 154836. 0.545027
\(534\) 714842. 127187.i 2.50684 0.446026i
\(535\) 68422.5 12064.7i 0.239051 0.0421512i
\(536\) −184302. + 221725.i −0.641505 + 0.771766i
\(537\) −84619.6 + 71004.3i −0.293442 + 0.246227i
\(538\) −400127. + 146336.i −1.38240 + 0.505577i
\(539\) 22551.7 + 13020.2i 0.0776251 + 0.0448168i
\(540\) 358.373 + 115761.i 0.00122899 + 0.396986i
\(541\) 393857. 143352.i 1.34569 0.489790i 0.434087 0.900871i \(-0.357071\pi\)
0.911599 + 0.411081i \(0.134849\pi\)
\(542\) 117240. 140162.i 0.399098 0.477124i
\(543\) −558339. + 322357.i −1.89364 + 1.09330i
\(544\) −233758. 397740.i −0.789894 1.34401i
\(545\) 18171.1 103054.i 0.0611771 0.346953i
\(546\) −302033. 109402.i −1.01314 0.366978i
\(547\) −38013.3 + 45302.4i −0.127046 + 0.151407i −0.825817 0.563937i \(-0.809286\pi\)
0.698772 + 0.715345i \(0.253730\pi\)
\(548\) −7035.26 2535.99i −0.0234271 0.00844474i
\(549\) −384388. 139906.i −1.27534 0.464185i
\(550\) −42968.5 + 24896.6i −0.142045 + 0.0823029i
\(551\) 87107.2 33331.3i 0.286914 0.109786i
\(552\) −216720. + 1006.39i −0.711249 + 0.00330284i
\(553\) −343750. 125115.i −1.12407 0.409128i
\(554\) 344886. 290305.i 1.12372 0.945877i
\(555\) 114504. 136461.i 0.371737 0.443019i
\(556\) 207940. 37329.6i 0.672649 0.120754i
\(557\) 38352.1 217506.i 0.123617 0.701068i −0.858502 0.512810i \(-0.828605\pi\)
0.982120 0.188258i \(-0.0602842\pi\)
\(558\) −1146.81 740883.i −0.00368318 2.37948i
\(559\) 322886. 186418.i 1.03330 0.596574i
\(560\) 60586.3 73118.6i 0.193196 0.233159i
\(561\) 146703. 53395.5i 0.466137 0.169660i
\(562\) −237361. + 412595.i −0.751514 + 1.30633i
\(563\) 111961. + 64640.8i 0.353224 + 0.203934i 0.666104 0.745858i \(-0.267960\pi\)
−0.312880 + 0.949793i \(0.601294\pi\)
\(564\) −39990.8 33345.8i −0.125719 0.104829i
\(565\) −162812. + 136616.i −0.510024 + 0.427961i
\(566\) −259426. 45329.9i −0.809805 0.141498i
\(567\) 9052.82 1596.26i 0.0281590 0.00496520i
\(568\) 48287.3 134610.i 0.149670 0.417234i
\(569\) −116975. −0.361299 −0.180649 0.983548i \(-0.557820\pi\)
−0.180649 + 0.983548i \(0.557820\pi\)
\(570\) 187882. + 104025.i 0.578277 + 0.320177i
\(571\) 78682.8i 0.241328i −0.992693 0.120664i \(-0.961498\pi\)
0.992693 0.120664i \(-0.0385024\pi\)
\(572\) −37673.2 44615.9i −0.115144 0.136363i
\(573\) 26120.1 + 148134.i 0.0795546 + 0.451177i
\(574\) −144474. 25244.2i −0.438497 0.0766191i
\(575\) 77985.4 + 92939.4i 0.235873 + 0.281102i
\(576\) −87352.6 + 523803.i −0.263288 + 1.57878i
\(577\) −293027. + 507538.i −0.880150 + 1.52446i −0.0289760 + 0.999580i \(0.509225\pi\)
−0.851174 + 0.524884i \(0.824109\pi\)
\(578\) 238277. 414187.i 0.713224 1.23977i
\(579\) 103074. + 283193.i 0.307462 + 0.844746i
\(580\) −7226.34 + 41737.8i −0.0214814 + 0.124072i
\(581\) −191188. 331148.i −0.566382 0.981002i
\(582\) 1278.36 + 825866.i 0.00377403 + 2.43817i
\(583\) 74704.8 + 13172.5i 0.219792 + 0.0387552i
\(584\) −67481.7 + 57159.9i −0.197861 + 0.167597i
\(585\) 155569. + 130538.i 0.454580 + 0.381438i
\(586\) 69676.0 58649.2i 0.202903 0.170792i
\(587\) 77414.2 212694.i 0.224670 0.617275i −0.775227 0.631683i \(-0.782364\pi\)
0.999896 + 0.0144087i \(0.00458659\pi\)
\(588\) −219737. 125960.i −0.635547 0.364315i
\(589\) −450813. 250516.i −1.29947 0.722112i
\(590\) 183811. 106503.i 0.528040 0.305955i
\(591\) −205731. + 565242.i −0.589014 + 1.61830i
\(592\) 233666. 198547.i 0.666733 0.566527i
\(593\) 59836.1 + 50208.4i 0.170158 + 0.142780i 0.723890 0.689915i \(-0.242352\pi\)
−0.553732 + 0.832695i \(0.686797\pi\)
\(594\) −63398.4 22964.1i −0.179682 0.0650843i
\(595\) 164577. + 29019.4i 0.464874 + 0.0819699i
\(596\) −180427. 310287.i −0.507937 0.873517i
\(597\) 507230. + 878548.i 1.42317 + 2.46500i
\(598\) −91531.5 + 109427.i −0.255958 + 0.305999i
\(599\) −9067.36 24912.4i −0.0252713 0.0694323i 0.926415 0.376503i \(-0.122873\pi\)
−0.951687 + 0.307071i \(0.900651\pi\)
\(600\) 417175. 243446.i 1.15882 0.676238i
\(601\) 11742.5 20338.6i 0.0325097 0.0563084i −0.849313 0.527890i \(-0.822983\pi\)
0.881822 + 0.471582i \(0.156317\pi\)
\(602\) −331671. + 121300.i −0.915196 + 0.334709i
\(603\) 375430. + 447420.i 1.03251 + 1.23050i
\(604\) −227067. 617903.i −0.622415 1.69374i
\(605\) −25037.9 141997.i −0.0684050 0.387944i
\(606\) −707855. + 125944.i −1.92752 + 0.342951i
\(607\) 444345.i 1.20599i −0.797746 0.602994i \(-0.793974\pi\)
0.797746 0.602994i \(-0.206026\pi\)
\(608\) 288830. + 230713.i 0.781331 + 0.624117i
\(609\) −135733. −0.365974
\(610\) −22654.2 127326.i −0.0608821 0.342181i
\(611\) −33754.7 + 5951.86i −0.0904173 + 0.0159430i
\(612\) −877213. + 322358.i −2.34208 + 0.860669i
\(613\) 383769. 322021.i 1.02129 0.856965i 0.0315017 0.999504i \(-0.489971\pi\)
0.989789 + 0.142539i \(0.0455266\pi\)
\(614\) 19747.8 + 53996.5i 0.0523821 + 0.143228i
\(615\) 130463. + 75322.7i 0.344934 + 0.199148i
\(616\) 27877.9 + 47772.3i 0.0734681 + 0.125897i
\(617\) 43358.5 15781.2i 0.113895 0.0414544i −0.284444 0.958693i \(-0.591809\pi\)
0.398339 + 0.917238i \(0.369587\pi\)
\(618\) 190421. + 159281.i 0.498584 + 0.417048i
\(619\) −302967. + 174918.i −0.790705 + 0.456514i −0.840211 0.542260i \(-0.817569\pi\)
0.0495056 + 0.998774i \(0.484235\pi\)
\(620\) 202489. 117744.i 0.526767 0.306307i
\(621\) −28606.0 + 162233.i −0.0741777 + 0.420683i
\(622\) 18969.4 52370.0i 0.0490312 0.135364i
\(623\) −291001. + 346801.i −0.749753 + 0.893521i
\(624\) 367764. + 432814.i 0.944497 + 1.11156i
\(625\) −192418. 70034.5i −0.492591 0.179288i
\(626\) 116879. + 201718.i 0.298255 + 0.514750i
\(627\) −94496.2 + 81968.3i −0.240369 + 0.208502i
\(628\) 62221.5 108545.i 0.157769 0.275228i
\(629\) 507089. + 184565.i 1.28169 + 0.466497i
\(630\) −123875. 147165.i −0.312106 0.370787i
\(631\) 30895.7 36820.0i 0.0775959 0.0924752i −0.725850 0.687853i \(-0.758553\pi\)
0.803446 + 0.595378i \(0.202998\pi\)
\(632\) 418032. + 493519.i 1.04659 + 1.23558i
\(633\) 151544. 859446.i 0.378208 2.14492i
\(634\) −19322.9 + 29.9098i −0.0480721 + 7.44106e-5i
\(635\) −174857. + 100954.i −0.433645 + 0.250365i
\(636\) −726998. 125870.i −1.79729 0.311177i
\(637\) −156670. + 57023.2i −0.386106 + 0.140531i
\(638\) −21386.8 12303.6i −0.0525417 0.0302266i
\(639\) −250887. 144849.i −0.614435 0.354744i
\(640\) −157133. + 59127.7i −0.383626 + 0.144355i
\(641\) 81942.7 68758.1i 0.199432 0.167343i −0.537603 0.843198i \(-0.680670\pi\)
0.737034 + 0.675855i \(0.236226\pi\)
\(642\) 67752.0 387749.i 0.164381 0.940765i
\(643\) −273954. + 48305.5i −0.662607 + 0.116835i −0.494830 0.868990i \(-0.664770\pi\)
−0.167777 + 0.985825i \(0.553659\pi\)
\(644\) 103247. 87180.3i 0.248946 0.210207i
\(645\) 362745. 0.871931
\(646\) −101459. + 642609.i −0.243123 + 1.53986i
\(647\) 537299.i 1.28353i −0.766900 0.641767i \(-0.778202\pi\)
0.766900 0.641767i \(-0.221798\pi\)
\(648\) −15298.2 5487.76i −0.0364325 0.0130691i
\(649\) 21487.4 + 121861.i 0.0510146 + 0.289318i
\(650\) 54726.7 313205.i 0.129531 0.741313i
\(651\) 482457. + 574970.i 1.13841 + 1.35670i
\(652\) 149038. 178738.i 0.350592 0.420456i
\(653\) −81114.5 + 140494.i −0.190227 + 0.329483i −0.945325 0.326129i \(-0.894256\pi\)
0.755098 + 0.655611i \(0.227589\pi\)
\(654\) −513883. 295631.i −1.20146 0.691185i
\(655\) −28391.6 78005.2i −0.0661770 0.181820i
\(656\) 199668. + 165446.i 0.463983 + 0.384457i
\(657\) 89575.0 + 155148.i 0.207518 + 0.359432i
\(658\) 32466.1 50.2542i 0.0749857 0.000116070i
\(659\) −510112. 89946.5i −1.17461 0.207116i −0.447917 0.894075i \(-0.647834\pi\)
−0.726696 + 0.686959i \(0.758945\pi\)
\(660\) −10038.7 55919.5i −0.0230457 0.128374i
\(661\) 351205. + 294696.i 0.803817 + 0.674483i 0.949124 0.314904i \(-0.101972\pi\)
−0.145306 + 0.989387i \(0.546417\pi\)
\(662\) 231045. + 274485.i 0.527207 + 0.626330i
\(663\) −341866. + 939269.i −0.777730 + 2.13679i
\(664\) 3139.39 + 676051.i 0.00712048 + 1.53336i
\(665\) −131472. + 25410.8i −0.297298 + 0.0574613i
\(666\) −311407. 537450.i −0.702070 1.21169i
\(667\) −20616.6 + 56643.6i −0.0463409 + 0.127321i
\(668\) −151103. + 419184.i −0.338625 + 0.939404i
\(669\) 124151. + 104175.i 0.277394 + 0.232761i
\(670\) −62887.1 + 173617.i −0.140092 + 0.386760i
\(671\) 74185.5 + 13080.9i 0.164769 + 0.0290531i
\(672\) −272588. 463808.i −0.603625 1.02707i
\(673\) −317579. 550062.i −0.701167 1.21446i −0.968057 0.250729i \(-0.919330\pi\)
0.266891 0.963727i \(-0.414004\pi\)
\(674\) −310216. 259485.i −0.682880 0.571206i
\(675\) −125572. 345005.i −0.275603 0.757213i
\(676\) −83107.4 + 257.284i −0.181864 + 0.000563014i
\(677\) 389470. 674582.i 0.849762 1.47183i −0.0316595 0.999499i \(-0.510079\pi\)
0.881421 0.472331i \(-0.156587\pi\)
\(678\) 413582. + 1.13086e6i 0.899710 + 2.46008i
\(679\) −330999. 394469.i −0.717939 0.855606i
\(680\) −227221. 188870.i −0.491395 0.408456i
\(681\) 60708.8 + 344297.i 0.130905 + 0.742401i
\(682\) 23900.1 + 134328.i 0.0513844 + 0.288801i
\(683\) 200843.i 0.430542i −0.976554 0.215271i \(-0.930937\pi\)
0.976554 0.215271i \(-0.0690635\pi\)
\(684\) 564160. 492435.i 1.20584 1.05254i
\(685\) −4789.52 −0.0102073
\(686\) 497755. 88562.2i 1.05771 0.188192i
\(687\) −914426. + 161238.i −1.93747 + 0.341628i
\(688\) 615568. + 104616.i 1.30047 + 0.221014i
\(689\) −372050. + 312187.i −0.783724 + 0.657622i
\(690\) −130356. + 47674.2i −0.273799 + 0.100135i
\(691\) 237701. + 137237.i 0.497823 + 0.287418i 0.727814 0.685775i \(-0.240536\pi\)
−0.229991 + 0.973193i \(0.573870\pi\)
\(692\) −421199. + 1303.95i −0.879580 + 0.00272300i
\(693\) 105290. 38322.4i 0.219240 0.0797969i
\(694\) 135823. 162378.i 0.282004 0.337138i
\(695\) 117177. 67651.9i 0.242589 0.140059i
\(696\) 208385. + 119024.i 0.430177 + 0.245706i
\(697\) −79244.6 + 449419.i −0.163119 + 0.925093i
\(698\) −356569. 129156.i −0.731869 0.265096i
\(699\) 853301. 1.01692e6i 1.74642 2.08130i
\(700\) −102128. + 283322.i −0.208425 + 0.578207i
\(701\) 743456. + 270596.i 1.51293 + 0.550662i 0.959371 0.282147i \(-0.0910465\pi\)
0.553560 + 0.832809i \(0.313269\pi\)
\(702\) 373544. 216437.i 0.757996 0.439195i
\(703\) −432335. + 7087.33i −0.874803 + 0.0143408i
\(704\) −908.228 97789.0i −0.00183252 0.197308i
\(705\) −31336.6 11405.6i −0.0630483 0.0229477i
\(706\) 249601. 210099.i 0.500768 0.421517i
\(707\) 288157. 343412.i 0.576488 0.687031i
\(708\) −212662. 1.18461e6i −0.424252 2.36325i
\(709\) −49185.1 + 278943.i −0.0978456 + 0.554910i 0.895993 + 0.444069i \(0.146466\pi\)
−0.993838 + 0.110841i \(0.964646\pi\)
\(710\) −141.771 91589.6i −0.000281236 0.181689i
\(711\) 1.13466e6 655096.i 2.24453 1.29588i
\(712\) 750872. 277250.i 1.48117 0.546905i
\(713\) 313226. 114005.i 0.616139 0.224256i
\(714\) 472124. 820673.i 0.926103 1.60981i
\(715\) −32387.9 18699.2i −0.0633535 0.0365772i
\(716\) −77986.4 + 93527.0i −0.152122 + 0.182436i
\(717\) 821968. 689713.i 1.59888 1.34162i
\(718\) 101569. + 17747.3i 0.197021 + 0.0344257i
\(719\) −660766. + 116511.i −1.27817 + 0.225376i −0.771204 0.636588i \(-0.780345\pi\)
−0.506969 + 0.861964i \(0.669234\pi\)
\(720\) 61130.7 + 334563.i 0.117922 + 0.645376i
\(721\) −154791. −0.297767
\(722\) −108088. 509955.i −0.207349 0.978267i
\(723\) 331444.i 0.634066i
\(724\) −543039. + 458536.i −1.03599 + 0.874775i
\(725\) −23328.6 132303.i −0.0443826 0.251706i
\(726\) −804696. 140606.i −1.52672 0.266765i
\(727\) 271689. + 323787.i 0.514048 + 0.612619i 0.959163 0.282855i \(-0.0912815\pi\)
−0.445115 + 0.895474i \(0.646837\pi\)
\(728\) −349035. 59874.4i −0.658576 0.112974i
\(729\) −431486. + 747356.i −0.811917 + 1.40628i
\(730\) −28243.6 + 49094.7i −0.0529998 + 0.0921274i
\(731\) 375835. + 1.03260e6i 0.703335 + 1.93240i
\(732\) −721945. 124995.i −1.34735 0.233276i
\(733\) 189120. + 327566.i 0.351990 + 0.609664i 0.986598 0.163170i \(-0.0521719\pi\)
−0.634608 + 0.772834i \(0.718839\pi\)
\(734\) −4.53301 2928.50i −8.41386e−6 0.00543567i
\(735\) −159748. 28167.8i −0.295706 0.0521409i
\(736\) −234959. + 43307.2i −0.433747 + 0.0799474i
\(737\) −82394.8 69137.4i −0.151693 0.127285i
\(738\) 401871. 338271.i 0.737860 0.621087i
\(739\) 139181. 382396.i 0.254853 0.700204i −0.744612 0.667498i \(-0.767365\pi\)
0.999465 0.0327059i \(-0.0104125\pi\)
\(740\) 97662.8 170373.i 0.178347 0.311126i
\(741\) −13127.7 800804.i −0.0239085 1.45844i
\(742\) 398050. 230636.i 0.722986 0.418910i
\(743\) −197239. + 541910.i −0.357286 + 0.981635i 0.622681 + 0.782476i \(0.286043\pi\)
−0.979967 + 0.199159i \(0.936179\pi\)
\(744\) −236504. 1.30580e6i −0.427261 2.35901i
\(745\) −176096. 147762.i −0.317276 0.266227i
\(746\) −622337. 225422.i −1.11827 0.405059i
\(747\) 1.34871e6 + 237815.i 2.41701 + 0.426184i
\(748\) 148781. 86513.8i 0.265915 0.154626i
\(749\) 122716. + 212550.i 0.218745 + 0.378877i
\(750\) 437030. 522472.i 0.776942 0.928840i
\(751\) 42072.6 + 115594.i 0.0745967 + 0.204953i 0.971387 0.237504i \(-0.0763292\pi\)
−0.896790 + 0.442457i \(0.854107\pi\)
\(752\) −49887.9 28392.4i −0.0882185 0.0502073i
\(753\) −100778. + 174553.i −0.177736 + 0.307848i
\(754\) 148361. 54259.0i 0.260961 0.0954398i
\(755\) −271005. 322972.i −0.475427 0.566592i
\(756\) −383832. + 141051.i −0.671580 + 0.246792i
\(757\) −44611.0 253001.i −0.0778485 0.441501i −0.998672 0.0515209i \(-0.983593\pi\)
0.920823 0.389980i \(-0.127518\pi\)
\(758\) 713696. 126983.i 1.24215 0.221008i
\(759\) 80848.7i 0.140343i
\(760\) 224127. + 76276.2i 0.388031 + 0.132057i
\(761\) 667985. 1.15345 0.576723 0.816940i \(-0.304331\pi\)
0.576723 + 0.816940i \(0.304331\pi\)
\(762\) 200378. + 1.12621e6i 0.345097 + 1.93958i
\(763\) 364038. 64189.7i 0.625313 0.110260i
\(764\) 57197.1 + 155647.i 0.0979913 + 0.266657i
\(765\) −458510. + 384736.i −0.783477 + 0.657415i
\(766\) 37398.8 + 102260.i 0.0637383 + 0.174280i
\(767\) −686112. 396127.i −1.16628 0.673354i
\(768\) 11778.2 + 951097.i 0.0199690 + 1.61251i
\(769\) −1.00825e6 + 366972.i −1.70496 + 0.620554i −0.996375 0.0850724i \(-0.972888\pi\)
−0.708584 + 0.705627i \(0.750666\pi\)
\(770\) 27171.7 + 22728.2i 0.0458285 + 0.0383340i