Properties

Label 76.5.l.a.23.10
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 23.10
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.06815 + 2.56640i) q^{2} +(14.2932 - 2.52028i) q^{3} +(2.82714 - 15.7482i) q^{4} +(-7.84979 + 6.58676i) q^{5} +(-37.3857 + 44.4148i) q^{6} +(31.3486 + 18.0991i) q^{7} +(31.7423 + 55.5736i) q^{8} +(121.829 - 44.3421i) q^{9} +O(q^{10})\) \(q+(-3.06815 + 2.56640i) q^{2} +(14.2932 - 2.52028i) q^{3} +(2.82714 - 15.7482i) q^{4} +(-7.84979 + 6.58676i) q^{5} +(-37.3857 + 44.4148i) q^{6} +(31.3486 + 18.0991i) q^{7} +(31.7423 + 55.5736i) q^{8} +(121.829 - 44.3421i) q^{9} +(7.18009 - 40.3549i) q^{10} +(20.6766 - 11.9376i) q^{11} +(0.718901 - 232.218i) q^{12} +(26.5442 - 150.540i) q^{13} +(-142.632 + 24.9223i) q^{14} +(-95.5983 + 113.930i) q^{15} +(-240.015 - 89.0449i) 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} +(-32.8022 + 89.6911i) q^{22} +(-149.973 + 178.731i) q^{23} +(593.760 + 714.326i) q^{24} +(-90.2963 + 512.095i) q^{25} +(304.904 + 530.002i) q^{26} +(611.464 - 353.029i) q^{27} +(373.656 - 442.517i) q^{28} +(-242.775 + 88.3630i) q^{29} +(0.920839 - 594.897i) q^{30} +(-1237.25 - 714.325i) q^{31} +(964.927 - 342.771i) q^{32} +(265.449 - 222.738i) q^{33} +(-1694.40 + 613.743i) q^{34} +(-365.294 + 64.4113i) q^{35} +(-353.883 - 2043.95i) q^{36} +1197.77 q^{37} +(-1092.27 + 944.502i) q^{38} -2218.59i q^{39} +(-615.220 - 227.163i) q^{40} +(175.891 + 997.527i) q^{41} +(-1975.86 + 715.692i) q^{42} +(-1567.78 - 1868.41i) q^{43} +(-129.541 - 359.370i) q^{44} +(-664.261 + 1150.53i) q^{45} +(1.44460 - 933.267i) q^{46} +(76.6893 + 210.702i) q^{47} +(-3655.00 - 667.834i) q^{48} +(-545.344 - 944.563i) q^{49} +(-1037.20 - 1802.92i) q^{50} +(6439.56 + 1135.47i) q^{51} +(-2295.69 - 843.621i) q^{52} +(-2433.90 - 2042.28i) q^{53} +(-970.050 + 2652.41i) 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} +(1523.92 + 1827.60i) q^{60} +(-2416.98 - 2028.09i) q^{61} +(5629.31 - 983.617i) q^{62} +(4621.72 + 814.934i) q^{63} +(-2080.86 + 3528.07i) q^{64} +(783.201 + 1356.54i) q^{65} +(-242.802 + 1364.64i) q^{66} +(-1540.81 - 4233.34i) q^{67} +(3623.57 - 6231.58i) q^{68} +(-1693.15 + 2932.62i) q^{69} +(955.474 - 1135.12i) q^{70} +(1436.32 + 1711.73i) q^{71} +(6331.38 + 5362.96i) q^{72} +(239.951 + 1360.83i) q^{73} +(-3674.93 + 3073.95i) q^{74} +7547.06i q^{75} +(927.275 - 5701.08i) q^{76} +864.243 q^{77} +(5693.81 + 6806.98i) q^{78} +(-9952.26 + 1754.85i) q^{79} +(2470.58 - 881.934i) q^{80} +(-194.535 + 163.235i) q^{81} +(-3099.72 - 2609.16i) q^{82} +(-9148.18 - 5281.70i) q^{83} +(4225.48 - 7266.70i) q^{84} +(-4338.27 + 1579.00i) q^{85} +(9605.31 + 1709.01i) q^{86} +(-3247.34 + 1874.85i) q^{87} +(1319.74 + 770.146i) q^{88} +(2171.75 - 12316.6i) q^{89} +(-914.680 - 5234.78i) q^{90} +(3556.76 - 4238.78i) q^{91} +(2390.71 + 2867.11i) 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} +(4097.33 + 1498.49i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.06815 + 2.56640i −0.767038 + 0.641601i
\(3\) 14.2932 2.52028i 1.58813 0.280031i 0.691357 0.722513i \(-0.257013\pi\)
0.896777 + 0.442482i \(0.145902\pi\)
\(4\) 2.82714 15.7482i 0.176696 0.984265i
\(5\) −7.84979 + 6.58676i −0.313992 + 0.263470i −0.786140 0.618049i \(-0.787923\pi\)
0.472148 + 0.881519i \(0.343479\pi\)
\(6\) −37.3857 + 44.4148i −1.03849 + 1.23374i
\(7\) 31.3486 + 18.0991i 0.639767 + 0.369370i 0.784525 0.620097i \(-0.212907\pi\)
−0.144758 + 0.989467i \(0.546240\pi\)
\(8\) 31.7423 + 55.5736i 0.495973 + 0.868338i
\(9\) 121.829 44.3421i 1.50406 0.547433i
\(10\) 7.18009 40.3549i 0.0718009 0.403549i
\(11\) 20.6766 11.9376i 0.170881 0.0986582i −0.412120 0.911129i \(-0.635212\pi\)
0.583001 + 0.812471i \(0.301878\pi\)
\(12\) 0.718901 232.218i 0.00499237 1.61263i
\(13\) 26.5442 150.540i 0.157066 0.890767i −0.799806 0.600258i \(-0.795064\pi\)
0.956872 0.290509i \(-0.0938245\pi\)
\(14\) −142.632 + 24.9223i −0.727714 + 0.127155i
\(15\) −95.5983 + 113.930i −0.424881 + 0.506354i
\(16\) −240.015 89.0449i −0.937557 0.347832i
\(17\) 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
\(22\) −32.8022 + 89.6911i −0.0677731 + 0.185312i
\(23\) −149.973 + 178.731i −0.283503 + 0.337866i −0.888937 0.458030i \(-0.848555\pi\)
0.605434 + 0.795896i \(0.293000\pi\)
\(24\) 593.760 + 714.326i 1.03083 + 1.24015i
\(25\) −90.2963 + 512.095i −0.144474 + 0.819353i
\(26\) 304.904 + 530.002i 0.451041 + 0.784026i
\(27\) 611.464 353.029i 0.838771 0.484264i
\(28\) 373.656 442.517i 0.476602 0.564435i
\(29\) −242.775 + 88.3630i −0.288674 + 0.105069i −0.482299 0.876007i \(-0.660198\pi\)
0.193624 + 0.981076i \(0.437976\pi\)
\(30\) 0.920839 594.897i 0.00102315 0.660997i
\(31\) −1237.25 714.325i −1.28746 0.743314i −0.309258 0.950978i \(-0.600081\pi\)
−0.978200 + 0.207664i \(0.933414\pi\)
\(32\) 964.927 342.771i 0.942312 0.334737i
\(33\) 265.449 222.738i 0.243755 0.204534i
\(34\) −1694.40 + 613.743i −1.46575 + 0.530920i
\(35\) −365.294 + 64.4113i −0.298200 + 0.0525806i
\(36\) −353.883 2043.95i −0.273058 1.57712i
\(37\) 1197.77 0.874920 0.437460 0.899238i \(-0.355878\pi\)
0.437460 + 0.899238i \(0.355878\pi\)
\(38\) −1092.27 + 944.502i −0.756419 + 0.654087i
\(39\) 2218.59i 1.45864i
\(40\) −615.220 227.163i −0.384513 0.141977i
\(41\) 175.891 + 997.527i 0.104635 + 0.593413i 0.991366 + 0.131127i \(0.0418595\pi\)
−0.886731 + 0.462286i \(0.847029\pi\)
\(42\) −1975.86 + 715.692i −1.12010 + 0.405721i
\(43\) −1567.78 1868.41i −0.847910 1.01050i −0.999756 0.0220951i \(-0.992966\pi\)
0.151846 0.988404i \(-0.451478\pi\)
\(44\) −129.541 359.370i −0.0669119 0.185625i
\(45\) −664.261 + 1150.53i −0.328030 + 0.568165i
\(46\) 1.44460 933.267i 0.000682703 0.441052i
\(47\) 76.6893 + 210.702i 0.0347168 + 0.0953835i 0.955840 0.293888i \(-0.0949491\pi\)
−0.921123 + 0.389271i \(0.872727\pi\)
\(48\) −3655.00 667.834i −1.58637 0.289859i
\(49\) −545.344 944.563i −0.227132 0.393404i
\(50\) −1037.20 1802.92i −0.414881 0.721170i
\(51\) 6439.56 + 1135.47i 2.47580 + 0.436551i
\(52\) −2295.69 843.621i −0.848998 0.311990i
\(53\) −2433.90 2042.28i −0.866464 0.727050i 0.0968865 0.995295i \(-0.469112\pi\)
−0.963350 + 0.268246i \(0.913556\pi\)
\(54\) −970.050 + 2652.41i −0.332665 + 0.909606i
\(55\) −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 \(0.378396\pi\)
−0.882035 + 0.471185i \(0.843827\pi\)
\(60\) 1523.92 + 1827.60i 0.423312 + 0.507667i
\(61\) −2416.98 2028.09i −0.649551 0.545038i 0.257383 0.966309i \(-0.417140\pi\)
−0.906935 + 0.421271i \(0.861584\pi\)
\(62\) 5629.31 983.617i 1.46444 0.255884i
\(63\) 4621.72 + 814.934i 1.16445 + 0.205325i
\(64\) −2080.86 + 3528.07i −0.508021 + 0.861344i
\(65\) 783.201 + 1356.54i 0.185373 + 0.321076i
\(66\) −242.802 + 1364.64i −0.0557397 + 0.313279i
\(67\) −1540.81 4233.34i −0.343241 0.943047i −0.984448 0.175679i \(-0.943788\pi\)
0.641207 0.767368i \(-0.278434\pi\)
\(68\) 3623.57 6231.58i 0.783644 1.34766i
\(69\) −1693.15 + 2932.62i −0.355628 + 0.615967i
\(70\) 955.474 1135.12i 0.194995 0.231657i
\(71\) 1436.32 + 1711.73i 0.284927 + 0.339562i 0.889456 0.457020i \(-0.151083\pi\)
−0.604530 + 0.796583i \(0.706639\pi\)
\(72\) 6331.38 + 5362.96i 1.22133 + 1.03452i
\(73\) 239.951 + 1360.83i 0.0450274 + 0.255363i 0.999009 0.0445010i \(-0.0141698\pi\)
−0.953982 + 0.299864i \(0.903059\pi\)
\(74\) −3674.93 + 3073.95i −0.671098 + 0.561350i
\(75\) 7547.06i 1.34170i
\(76\) 927.275 5701.08i 0.160539 0.987029i
\(77\) 864.243 0.145765
\(78\) 5693.81 + 6806.98i 0.935866 + 1.11883i
\(79\) −9952.26 + 1754.85i −1.59466 + 0.281181i −0.899250 0.437435i \(-0.855887\pi\)
−0.695407 + 0.718616i \(0.744776\pi\)
\(80\) 2470.58 881.934i 0.386028 0.137802i
\(81\) −194.535 + 163.235i −0.0296503 + 0.0248795i
\(82\) −3099.72 2609.16i −0.460993 0.388037i
\(83\) −9148.18 5281.70i −1.32794 0.766686i −0.342959 0.939350i \(-0.611429\pi\)
−0.984981 + 0.172664i \(0.944763\pi\)
\(84\) 4225.48 7266.70i 0.598849 1.02986i
\(85\) −4338.27 + 1579.00i −0.600452 + 0.218547i
\(86\) 9605.31 + 1709.01i 1.29872 + 0.231072i
\(87\) −3247.34 + 1874.85i −0.429031 + 0.247701i
\(88\) 1319.74 + 770.146i 0.170421 + 0.0994507i
\(89\) 2171.75 12316.6i 0.274176 1.55493i −0.467391 0.884051i \(-0.654806\pi\)
0.741567 0.670879i \(-0.234083\pi\)
\(90\) −914.680 5234.78i −0.112923 0.646269i
\(91\) 3556.76 4238.78i 0.429508 0.511868i
\(92\) 2390.71 + 2867.11i 0.282456 + 0.338742i
\(93\) −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 \(0.338282\pi\)
\(98\) 4097.33 + 1498.49i 0.426627 + 0.156028i
\(99\) 1989.67 2371.19i 0.203007 0.241934i
\(100\) 7809.33 + 2869.77i 0.780933 + 0.286977i
\(101\) −2150.52 + 12196.2i −0.210815 + 1.19559i 0.677208 + 0.735792i \(0.263190\pi\)
−0.888023 + 0.459799i \(0.847921\pi\)
\(102\) −22671.6 + 13042.7i −2.17913 + 1.25363i
\(103\) −3703.31 + 2138.11i −0.349073 + 0.201537i −0.664277 0.747487i \(-0.731260\pi\)
0.315204 + 0.949024i \(0.397927\pi\)
\(104\) 9208.60 3303.31i 0.851387 0.305410i
\(105\) −5058.90 + 1841.29i −0.458857 + 0.167010i
\(106\) 12708.9 + 19.6721i 1.13109 + 0.00175081i
\(107\) 5871.84 + 3390.11i 0.512869 + 0.296105i 0.734012 0.679136i \(-0.237645\pi\)
−0.221143 + 0.975241i \(0.570979\pi\)
\(108\) −3830.89 10627.5i −0.328437 0.911141i
\(109\) −7822.79 + 6564.10i −0.658429 + 0.552487i −0.909615 0.415451i \(-0.863624\pi\)
0.251187 + 0.967939i \(0.419179\pi\)
\(110\) −333.283 920.116i −0.0275440 0.0760427i
\(111\) 17119.9 3018.70i 1.38949 0.245005i
\(112\) −5912.49 7135.49i −0.471340 0.568837i
\(113\) 20741.0 1.62432 0.812162 0.583432i \(-0.198290\pi\)
0.812162 + 0.583432i \(0.198290\pi\)
\(114\) −13231.6 + 16252.8i −1.01813 + 1.25060i
\(115\) 2390.84i 0.180782i
\(116\) 705.203 + 4073.10i 0.0524080 + 0.302698i
\(117\) −3441.39 19517.1i −0.251398 1.42575i
\(118\) −7060.33 19491.9i −0.507062 1.39988i
\(119\) 10482.9 + 12493.0i 0.740265 + 0.882214i
\(120\) −9365.99 1696.36i −0.650416 0.117803i
\(121\) −7035.49 + 12185.8i −0.480533 + 0.832308i
\(122\) 12620.6 + 19.5353i 0.847928 + 0.00131250i
\(123\) 5028.09 + 13814.6i 0.332348 + 0.913118i
\(124\) −14747.2 + 17465.0i −0.959107 + 1.13586i
\(125\) −5866.48 10161.0i −0.375455 0.650307i
\(126\) −16271.6 + 9360.86i −1.02492 + 0.589623i
\(127\) −19404.3 3421.51i −1.20307 0.212134i −0.464045 0.885811i \(-0.653603\pi\)
−0.739025 + 0.673678i \(0.764714\pi\)
\(128\) −2670.06 16165.0i −0.162968 0.986631i
\(129\) −27117.6 22754.4i −1.62957 1.36737i
\(130\) −5884.42 2152.08i −0.348191 0.127342i
\(131\) 2770.67 7612.36i 0.161452 0.443585i −0.832417 0.554149i \(-0.813044\pi\)
0.993869 + 0.110564i \(0.0352658\pi\)
\(132\) −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
\(136\) 4875.07 + 28419.0i 0.263574 + 1.53649i
\(137\) 358.048 + 300.438i 0.0190766 + 0.0160071i 0.652276 0.757981i \(-0.273814\pi\)
−0.633199 + 0.773989i \(0.718259\pi\)
\(138\) −2331.44 13343.0i −0.122424 0.700642i
\(139\) 13003.4 + 2292.85i 0.673020 + 0.118672i 0.499706 0.866195i \(-0.333441\pi\)
0.173314 + 0.984867i \(0.444553\pi\)
\(140\) −18.3731 + 5934.85i −0.000937403 + 0.302798i
\(141\) 1627.16 + 2818.33i 0.0818452 + 0.141760i
\(142\) −8799.84 1565.70i −0.436413 0.0776482i
\(143\) −1248.24 3429.52i −0.0610418 0.167711i
\(144\) −33189.2 205.496i −1.60056 0.00991011i
\(145\) 1323.71 2292.73i 0.0629588 0.109048i
\(146\) −4228.64 3559.42i −0.198379 0.166984i
\(147\) −10175.3 12126.4i −0.470881 0.561174i
\(148\) 3386.25 18862.7i 0.154595 0.861154i
\(149\) 3895.49 + 22092.4i 0.175465 + 0.995110i 0.937606 + 0.347699i \(0.113037\pi\)
−0.762141 + 0.647411i \(0.775852\pi\)
\(150\) −19368.8 23155.5i −0.860836 1.02914i
\(151\) 41144.0i 1.80448i −0.431234 0.902240i \(-0.641922\pi\)
0.431234 0.902240i \(-0.358078\pi\)
\(152\) 11786.3 + 19871.6i 0.510139 + 0.860092i
\(153\) 58410.5 2.49522
\(154\) −2651.63 + 2218.00i −0.111808 + 0.0935233i
\(155\) 14417.2 2542.14i 0.600092 0.105812i
\(156\) −34938.9 6272.27i −1.43569 0.257736i
\(157\) −5990.20 + 5026.37i −0.243020 + 0.203918i −0.756160 0.654387i \(-0.772927\pi\)
0.513140 + 0.858305i \(0.328482\pi\)
\(158\) 26031.4 30925.7i 1.04276 1.23881i
\(159\) −39935.3 23056.7i −1.57966 0.912016i
\(160\) −5316.73 + 9046.42i −0.207685 + 0.353376i
\(161\) −7936.33 + 2888.59i −0.306174 + 0.111438i
\(162\) 177.939 1000.09i 0.00678016 0.0381072i
\(163\) 12596.4 7272.56i 0.474103 0.273724i −0.243853 0.969812i \(-0.578411\pi\)
0.717956 + 0.696089i \(0.245078\pi\)
\(164\) 16206.6 + 50.1723i 0.602564 + 0.00186542i
\(165\) −616.597 + 3496.89i −0.0226482 + 0.128444i
\(166\) 41623.0 7272.84i 1.51049 0.263930i
\(167\) −17901.1 + 21333.7i −0.641870 + 0.764951i −0.984664 0.174460i \(-0.944182\pi\)
0.342795 + 0.939410i \(0.388627\pi\)
\(168\) 5684.87 + 33139.7i 0.201420 + 1.17417i
\(169\) 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 \(0.466163\pi\)
\(174\) 5151.71 14086.3i 0.170158 0.465263i
\(175\) −12099.1 + 14419.2i −0.395074 + 0.470831i
\(176\) −6025.67 + 1024.06i −0.194527 + 0.0330598i
\(177\) −13062.1 + 74078.9i −0.416934 + 2.36455i
\(178\) 24946.1 + 43362.8i 0.787341 + 1.36860i
\(179\) −6591.27 + 3805.47i −0.205714 + 0.118769i −0.599318 0.800511i \(-0.704561\pi\)
0.393604 + 0.919280i \(0.371228\pi\)
\(180\) 16240.9 + 13713.7i 0.501263 + 0.423261i
\(181\) 41742.1 15192.9i 1.27414 0.463749i 0.385651 0.922645i \(-0.373977\pi\)
0.888490 + 0.458896i \(0.151755\pi\)
\(182\) −34.2601 + 22133.3i −0.00103430 + 0.668195i
\(183\) −39657.8 22896.4i −1.18420 0.683700i
\(184\) −14693.2 2661.22i −0.433992 0.0786042i
\(185\) −9402.21 + 7889.39i −0.274718 + 0.230516i
\(186\) 77981.9 28246.5i 2.25407 0.816467i
\(187\) 10593.2 1867.86i 0.302931 0.0534148i
\(188\) 3535.00 612.038i 0.100017 0.0173166i
\(189\) 25558.0 0.715491
\(190\) 2352.88 14608.7i 0.0651767 0.404672i
\(191\) 10364.0i 0.284092i 0.989860 + 0.142046i \(0.0453681\pi\)
−0.989860 + 0.142046i \(0.954632\pi\)
\(192\) −20850.4 + 55671.7i −0.565603 + 1.51019i
\(193\) −3605.70 20448.9i −0.0967998 0.548979i −0.994181 0.107723i \(-0.965644\pi\)
0.897381 0.441256i \(-0.145467\pi\)
\(194\) −53501.0 + 19379.0i −1.42154 + 0.514907i
\(195\) 14613.3 + 17415.5i 0.384309 + 0.458001i
\(196\) −16417.0 + 5917.80i −0.427347 + 0.154045i
\(197\) 20722.4 35892.3i 0.533959 0.924844i −0.465254 0.885177i \(-0.654037\pi\)
0.999213 0.0396667i \(-0.0126296\pi\)
\(198\) −19.1653 + 12381.5i −0.000488860 + 0.315822i
\(199\) 23906.1 + 65681.4i 0.603673 + 1.65858i 0.743765 + 0.668441i \(0.233038\pi\)
−0.140092 + 0.990138i \(0.544740\pi\)
\(200\) −31325.2 + 11237.0i −0.783130 + 0.280925i
\(201\) −32692.3 56624.7i −0.809195 1.40157i
\(202\) −24702.3 42939.0i −0.605389 1.05232i
\(203\) −9209.95 1623.96i −0.223494 0.0394080i
\(204\) 36087.2 98201.7i 0.867146 2.35971i
\(205\) −7951.18 6671.83i −0.189201 0.158759i
\(206\) 5875.08 16064.2i 0.138446 0.378552i
\(207\) −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 \(-0.652905\pi\)
0.924032 0.382315i \(-0.124873\pi\)
\(212\) −39043.3 + 32555.8i −0.868711 + 0.724364i
\(213\) 24843.6 + 20846.3i 0.547590 + 0.459482i
\(214\) −26716.1 + 4668.14i −0.583372 + 0.101933i
\(215\) 24613.6 + 4340.04i 0.532473 + 0.0938894i
\(216\) 39028.3 + 22775.3i 0.836513 + 0.488154i
\(217\) −25857.3 44786.2i −0.549116 0.951096i
\(218\) 7155.39 40216.1i 0.150564 0.846228i
\(219\) 6859.34 + 18845.9i 0.143019 + 0.392942i
\(220\) 3383.95 + 1967.72i 0.0699164 + 0.0406554i
\(221\) 34434.7 59642.6i 0.705036 1.22116i
\(222\) −44779.3 + 53198.5i −0.908598 + 1.07943i
\(223\) 7177.70 + 8554.04i 0.144336 + 0.172013i 0.833369 0.552717i \(-0.186409\pi\)
−0.689033 + 0.724730i \(0.741964\pi\)
\(224\) 36453.0 + 6718.94i 0.726502 + 0.133907i
\(225\) 11706.7 + 66392.0i 0.231243 + 1.31145i
\(226\) −63636.6 + 53229.8i −1.24592 + 1.04217i
\(227\) 24088.1i 0.467468i 0.972301 + 0.233734i \(0.0750944\pi\)
−0.972301 + 0.233734i \(0.924906\pi\)
\(228\) −1114.58 83823.8i −0.0214407 1.61249i
\(229\) 63976.3 1.21997 0.609983 0.792414i \(-0.291176\pi\)
0.609983 + 0.792414i \(0.291176\pi\)
\(230\) 6135.86 + 7335.47i 0.115990 + 0.138667i
\(231\) 12352.8 2178.13i 0.231495 0.0408188i
\(232\) −12616.9 10687.1i −0.234410 0.198556i
\(233\) −70066.5 + 58792.8i −1.29062 + 1.08296i −0.298936 + 0.954273i \(0.596632\pi\)
−0.991685 + 0.128686i \(0.958924\pi\)
\(234\) 60647.5 + 51049.5i 1.10760 + 0.932308i
\(235\) −1989.84 1148.83i −0.0360315 0.0208028i
\(236\) 71686.4 + 41684.6i 1.28710 + 0.748430i
\(237\) −137827. + 50164.9i −2.45379 + 0.893107i
\(238\) −64225.3 11427.2i −1.13384 0.201737i
\(239\) 64025.5 36965.2i 1.12088 0.647138i 0.179251 0.983803i \(-0.442633\pi\)
0.941624 + 0.336666i \(0.109299\pi\)
\(240\) 33089.8 18832.2i 0.574476 0.326948i
\(241\) 3965.54 22489.7i 0.0682761 0.387213i −0.931451 0.363866i \(-0.881457\pi\)
0.999727 0.0233470i \(-0.00743226\pi\)
\(242\) −9687.78 55443.9i −0.165422 0.946723i
\(243\) −39130.6 + 46634.0i −0.662680 + 0.789751i
\(244\) −38772.0 + 32329.5i −0.651236 + 0.543025i
\(245\) 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
\(250\) 44076.6 + 16119.9i 0.705226 + 0.257918i
\(251\) −8926.59 + 10638.3i −0.141690 + 0.168859i −0.832222 0.554442i \(-0.812932\pi\)
0.690533 + 0.723301i \(0.257376\pi\)
\(252\) 25900.0 70480.0i 0.407849 1.10985i
\(253\) −967.309 + 5485.88i −0.0151121 + 0.0857048i
\(254\) 68316.4 39301.6i 1.05891 0.609177i
\(255\) −58028.3 + 33502.6i −0.892399 + 0.515227i
\(256\) 49678.0 + 42744.2i 0.758026 + 0.652224i
\(257\) −83396.3 + 30353.8i −1.26264 + 0.459565i −0.884655 0.466246i \(-0.845606\pi\)
−0.377988 + 0.925810i \(0.623384\pi\)
\(258\) 141598. + 219.179i 2.12724 + 0.00329275i
\(259\) 37548.3 + 21678.5i 0.559745 + 0.323169i
\(260\) 23577.4 8498.91i 0.348778 0.125724i
\(261\) −25658.8 + 21530.3i −0.376666 + 0.316060i
\(262\) 11035.5 + 30466.6i 0.160765 + 0.443834i
\(263\) −113280. + 19974.3i −1.63772 + 0.288775i −0.915329 0.402707i \(-0.868069\pi\)
−0.722394 + 0.691482i \(0.756958\pi\)
\(264\) 20804.3 + 7681.74i 0.298501 + 0.110218i
\(265\) 32557.6 0.463618
\(266\) −51335.8 + 9839.71i −0.725532 + 0.139065i
\(267\) 181517.i 2.54621i
\(268\) −71023.7 + 12296.8i −0.988858 + 0.171208i
\(269\) −18495.6 104894.i −0.255601 1.44959i −0.794524 0.607232i \(-0.792280\pi\)
0.538923 0.842355i \(-0.318831\pi\)
\(270\) −9856.09 27210.4i −0.135200 0.373256i
\(271\) −29364.3 34995.0i −0.399836 0.476506i 0.528134 0.849161i \(-0.322892\pi\)
−0.927970 + 0.372655i \(0.878447\pi\)
\(272\) −87892.1 74682.4i −1.18799 1.00944i
\(273\) 40154.6 69549.8i 0.538778 0.933191i
\(274\) −1869.59 2.89394i −0.0249027 3.85468e-5i
\(275\) 4246.19 + 11666.3i 0.0561480 + 0.154265i
\(276\) 41396.8 + 34955.0i 0.543436 + 0.458872i
\(277\) 56350.4 + 97601.7i 0.734408 + 1.27203i 0.954983 + 0.296661i \(0.0958733\pi\)
−0.220575 + 0.975370i \(0.570793\pi\)
\(278\) −45780.9 + 26337.2i −0.592372 + 0.340785i
\(279\) −182407. 32163.3i −2.34333 0.413192i
\(280\) −15174.8 18256.2i −0.193557 0.232859i
\(281\) −91159.1 76491.5i −1.15448 0.968725i −0.154667 0.987967i \(-0.549431\pi\)
−0.999815 + 0.0192411i \(0.993875\pi\)
\(282\) −12225.4 4471.11i −0.153732 0.0562235i
\(283\) −22518.3 + 61868.5i −0.281166 + 0.772497i 0.716058 + 0.698041i \(0.245945\pi\)
−0.997224 + 0.0744568i \(0.976278\pi\)
\(284\) 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
\(288\) 102357. 84546.3i 1.23405 1.01932i
\(289\) 91510.7 + 76786.6i 1.09566 + 0.919369i
\(290\) 1822.73 + 10431.6i 0.0216734 + 0.124038i
\(291\) 203330. + 35852.6i 2.40113 + 0.423384i
\(292\) 22109.0 + 68.4452i 0.259301 + 0.000802744i
\(293\) 11384.3 + 19718.1i 0.132608 + 0.229684i 0.924681 0.380743i \(-0.124332\pi\)
−0.792073 + 0.610426i \(0.790998\pi\)
\(294\) 62340.6 + 11091.9i 0.721234 + 0.128324i
\(295\) −18164.4 49906.3i −0.208726 0.573470i
\(296\) 38019.8 + 66564.2i 0.433937 + 0.759726i
\(297\) 8428.66 14598.9i 0.0955533 0.165503i
\(298\) −68650.1 57785.6i −0.773052 0.650709i
\(299\) 22925.2 + 27321.2i 0.256431 + 0.305603i
\(300\) 118853. + 21336.6i 1.32059 + 0.237073i
\(301\) −15331.2 86947.7i −0.169217 0.959677i
\(302\) 105592. + 126236.i 1.15776 + 1.38411i
\(303\) 179743.i 1.95779i
\(304\) −87160.5 30720.7i −0.943132 0.332418i
\(305\) 32331.3 0.347555
\(306\) −179212. + 149905.i −1.91393 + 1.60093i
\(307\) 14155.2 2495.95i 0.150190 0.0264825i −0.0980478 0.995182i \(-0.531260\pi\)
0.248237 + 0.968699i \(0.420149\pi\)
\(308\) 2443.33 13610.3i 0.0257562 0.143472i
\(309\) −47543.6 + 39893.8i −0.497938 + 0.417819i
\(310\) −37710.1 + 44800.1i −0.392404 + 0.466182i
\(311\) −12059.3 6962.46i −0.124682 0.0719850i 0.436362 0.899771i \(-0.356267\pi\)
−0.561044 + 0.827786i \(0.689600\pi\)
\(312\) 123295. 70423.2i 1.26659 0.723447i
\(313\) −54768.3 + 19934.0i −0.559037 + 0.203473i −0.606057 0.795421i \(-0.707250\pi\)
0.0470200 + 0.998894i \(0.485028\pi\)
\(314\) 5479.15 30795.0i 0.0555717 0.312335i
\(315\) −41647.3 + 24045.1i −0.419726 + 0.242329i
\(316\) −500.565 + 161692.i −0.00501287 + 1.61925i
\(317\) 838.846 4757.33i 0.00834764 0.0473418i −0.980349 0.197269i \(-0.936793\pi\)
0.988697 + 0.149927i \(0.0479039\pi\)
\(318\) 181700. 31748.8i 1.79681 0.313959i
\(319\) −3964.92 + 4725.21i −0.0389631 + 0.0464344i
\(320\) −6904.24 41400.7i −0.0674242 0.404304i
\(321\) 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
\(326\) −19983.5 + 54640.9i −0.188034 + 0.514142i
\(327\) −95269.4 + 113538.i −0.890960 + 1.06180i
\(328\) −49853.0 + 41438.7i −0.463387 + 0.385175i
\(329\) −1409.42 + 7993.23i −0.0130211 + 0.0738466i
\(330\) −7082.63 12311.4i −0.0650379 0.113053i
\(331\) 77678.5 44847.7i 0.708997 0.409340i −0.101692 0.994816i \(-0.532426\pi\)
0.810690 + 0.585476i \(0.199092\pi\)
\(332\) −109041. + 129136.i −0.989265 + 1.17157i
\(333\) 145923. 53111.5i 1.31593 0.478961i
\(334\) 172.430 111397.i 0.00154568 0.998571i
\(335\) 39979.0 + 23081.9i 0.356240 + 0.205675i
\(336\) −102492. 87087.9i −0.907843 0.771399i
\(337\) 77453.5 64991.2i 0.681995 0.572262i −0.234593 0.972094i \(-0.575376\pi\)
0.916589 + 0.399832i \(0.130931\pi\)
\(338\) −19534.9 + 7075.90i −0.170993 + 0.0619368i
\(339\) 296455. 52273.1i 2.57965 0.454861i
\(340\) 12601.6 + 72784.2i 0.109010 + 0.629621i
\(341\) −34109.4 −0.293336
\(342\) −91188.8 + 163501.i −0.779631 + 1.39788i
\(343\) 126393.i 1.07432i
\(344\) 54069.4 146435.i 0.456914 1.23745i
\(345\) −6025.58 34172.8i −0.0506245 0.287106i
\(346\) −99005.5 + 35861.6i −0.827003 + 0.299556i
\(347\) −34018.6 40541.8i −0.282525 0.336701i 0.606054 0.795424i \(-0.292752\pi\)
−0.888579 + 0.458723i \(0.848307\pi\)
\(348\) 20345.0 + 56440.3i 0.167996 + 0.466049i
\(349\) 47405.0 82107.9i 0.389201 0.674115i −0.603142 0.797634i \(-0.706085\pi\)
0.992342 + 0.123519i \(0.0394180\pi\)
\(350\) 116.544 75291.6i 0.000951376 0.614625i
\(351\) −36914.0 101420.i −0.299624 0.823211i
\(352\) 15859.5 18606.3i 0.127999 0.150167i
\(353\) 40781.9 + 70636.3i 0.327279 + 0.566863i 0.981971 0.189032i \(-0.0605351\pi\)
−0.654692 + 0.755896i \(0.727202\pi\)
\(354\) −150040. 260808.i −1.19729 2.08121i
\(355\) −22549.6 3976.10i −0.178929 0.0315501i
\(356\) −187825. 69021.9i −1.48202 0.544612i
\(357\) 181320. + 152146.i 1.42269 + 1.19378i
\(358\) 10456.7 28591.6i 0.0815881 0.223086i
\(359\) 8816.23 24222.4i 0.0684059 0.187944i −0.900779 0.434278i \(-0.857004\pi\)
0.969185 + 0.246334i \(0.0792259\pi\)
\(360\) −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
\(364\) −56697.9 67996.3i −0.427922 0.513195i
\(365\) −10847.0 9101.73i −0.0814188 0.0683185i
\(366\) 180438. 31528.1i 1.34699 0.235362i
\(367\) −721.003 127.132i −0.00535310 0.000943895i 0.170971 0.985276i \(-0.445310\pi\)
−0.176324 + 0.984332i \(0.556421\pi\)
\(368\) 51910.9 29543.7i 0.383321 0.218157i
\(369\) 65661.1 + 113728.i 0.482231 + 0.835249i
\(370\) 8600.06 48335.8i 0.0628200 0.353073i
\(371\) −39335.8 108074.i −0.285785 0.785188i
\(372\) −166769. + 286798.i −1.20512 + 2.07248i
\(373\) 82738.1 143307.i 0.594686 1.03003i −0.398905 0.916992i \(-0.630610\pi\)
0.993591 0.113034i \(-0.0360570\pi\)
\(374\) −27707.8 + 32917.3i −0.198088 + 0.235332i
\(375\) −109460. 130449.i −0.778379 0.927636i
\(376\) −9275.19 + 10950.1i −0.0656065 + 0.0774535i
\(377\) 6857.85 + 38892.8i 0.0482509 + 0.273644i
\(378\) −78416.0 + 65592.3i −0.548809 + 0.459060i
\(379\) 181226.i 1.26166i −0.775921 0.630830i \(-0.782715\pi\)
0.775921 0.630830i \(-0.217285\pi\)
\(380\) 30272.7 + 50860.0i 0.209645 + 0.352216i
\(381\) −285973. −1.97004
\(382\) −26598.1 31798.3i −0.182274 0.217910i
\(383\) 26807.4 4726.88i 0.182750 0.0322238i −0.0815240 0.996671i \(-0.525979\pi\)
0.264274 + 0.964448i \(0.414868\pi\)
\(384\) −78904.0 224320.i −0.535102 1.52127i
\(385\) −6784.13 + 5692.56i −0.0457691 + 0.0384049i
\(386\) 63543.0 + 53486.8i 0.426475 + 0.358981i
\(387\) −273851. 158108.i −1.82849 1.05568i
\(388\) 114415. 196763.i 0.760009 1.30701i
\(389\) −180903. + 65843.3i −1.19549 + 0.435123i −0.861649 0.507505i \(-0.830568\pi\)
−0.333843 + 0.942629i \(0.608345\pi\)
\(390\) −89531.1 15929.7i −0.588633 0.104732i
\(391\) −91033.9 + 52558.5i −0.595456 + 0.343787i
\(392\) 35182.3 60289.3i 0.228956 0.392345i
\(393\) 20416.5 115788.i 0.132190 0.749684i
\(394\) 28534.5 + 163305.i 0.183814 + 1.05198i
\(395\) 66564.4 79328.3i 0.426626 0.508433i
\(396\) −31717.1 38037.5i −0.202257 0.242561i
\(397\) −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 \(0.770677\pi\)
\(402\) 245627. + 89831.7i 1.51993 + 0.555876i
\(403\) −140376. + 167293.i −0.864336 + 1.03008i
\(404\) 185989. + 68347.4i 1.13953 + 0.418754i
\(405\) 451.876 2562.72i 0.00275492 0.0156239i
\(406\) 32425.3 18653.9i 0.196713 0.113166i
\(407\) 24765.7 14298.5i 0.149507 0.0863181i
\(408\) 141304. + 393912.i 0.848857 + 2.36635i
\(409\) 103111. 37529.2i 0.616391 0.224348i −0.0149063 0.999889i \(-0.504745\pi\)
0.631297 + 0.775541i \(0.282523\pi\)
\(410\) 41518.0 + 64.2656i 0.246984 + 0.000382306i
\(411\) 5874.85 + 3391.84i 0.0347787 + 0.0200795i
\(412\) 23201.7 + 64365.4i 0.136686 + 0.379191i
\(413\) −143716. + 120592.i −0.842571 + 0.707001i
\(414\) −41207.0 113763.i −0.240420 0.663743i
\(415\) 106601. 18796.6i 0.618961 0.109140i
\(416\) −25987.4 154358.i −0.150168 0.891956i
\(417\) 191639. 1.10208
\(418\) −11309.3 + 32568.2i −0.0647266 + 0.186398i
\(419\) 102824.i 0.585691i 0.956160 + 0.292845i \(0.0946021\pi\)
−0.956160 + 0.292845i \(0.905398\pi\)
\(420\) 14694.9 + 84874.3i 0.0833042 + 0.481147i
\(421\) 59436.4 + 337081.i 0.335342 + 1.90182i 0.423827 + 0.905743i \(0.360687\pi\)
−0.0884842 + 0.996078i \(0.528202\pi\)
\(422\) 81912.3 + 226141.i 0.459965 + 1.26985i
\(423\) 18686.0 + 22269.1i 0.104432 + 0.124458i
\(424\) 36239.6 200087.i 0.201582 1.11298i
\(425\) −117137. + 202888.i −0.648512 + 1.12326i
\(426\) −129724. 200.799i −0.714827 0.00110648i
\(427\) −39062.4 107323.i −0.214241 0.588622i
\(428\) 69988.7 82886.8i 0.382068 0.452479i
\(429\) −26484.8 45873.0i −0.143907 0.249254i
\(430\) −86656.5 + 49852.5i −0.468667 + 0.269619i
\(431\) 51860.3 + 9144.37i 0.279178 + 0.0492265i 0.311484 0.950251i \(-0.399174\pi\)
−0.0323062 + 0.999478i \(0.510285\pi\)
\(432\) −178196. + 30284.3i −0.954838 + 0.162274i
\(433\) 152164. + 127681.i 0.811591 + 0.681005i 0.950987 0.309231i \(-0.100072\pi\)
−0.139396 + 0.990237i \(0.544516\pi\)
\(434\) 194274. + 71050.5i 1.03142 + 0.377214i
\(435\) 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 \(-0.707487\pi\)
0.975717 0.219036i \(-0.0702912\pi\)
\(440\) −15432.5 + 2647.33i −0.0797131 + 0.0136742i
\(441\) −108323. 90893.4i −0.556983 0.467364i
\(442\) 47416.1 + 271366.i 0.242707 + 1.38903i
\(443\) −169602. 29905.3i −0.864216 0.152385i −0.276068 0.961138i \(-0.589032\pi\)
−0.588148 + 0.808753i \(0.700143\pi\)
\(444\) 861.075 278143.i 0.00436792 1.41092i
\(445\) 64078.7 + 110988.i 0.323589 + 0.560472i
\(446\) −43975.4 7824.26i −0.221075 0.0393345i
\(447\) 111358. + 305954.i 0.557323 + 1.53123i
\(448\) −129087. + 72938.3i −0.643170 + 0.363412i
\(449\) −49234.0 + 85275.7i −0.244215 + 0.422993i −0.961911 0.273364i \(-0.911864\pi\)
0.717696 + 0.696357i \(0.245197\pi\)
\(450\) −206307. 173657.i −1.01880 0.857564i
\(451\) 15544.9 + 18525.7i 0.0764251 + 0.0910799i
\(452\) 58637.6 326634.i 0.287012 1.59877i
\(453\) −103694. 588079.i −0.505310 2.86576i
\(454\) −61819.9 73906.1i −0.299928 0.358566i
\(455\) 56701.0i 0.273885i
\(456\) 218545. + 254324.i 1.05102 + 1.22309i
\(457\) −89403.5 −0.428077 −0.214039 0.976825i \(-0.568662\pi\)
−0.214039 + 0.976825i \(0.568662\pi\)
\(458\) −196289. + 164189.i −0.935762 + 0.782732i
\(459\) 313269. 55237.8i 1.48694 0.262187i
\(460\) −37651.5 6759.23i −0.177937 0.0319435i
\(461\) 219673. 184328.i 1.03365 0.867339i 0.0423730 0.999102i \(-0.486508\pi\)
0.991281 + 0.131763i \(0.0420638\pi\)
\(462\) −32310.4 + 38385.2i −0.151376 + 0.179837i
\(463\) −223185. 128856.i −1.04113 0.601094i −0.120974 0.992656i \(-0.538602\pi\)
−0.920152 + 0.391562i \(0.871935\pi\)
\(464\) 66137.9 + 409.503i 0.307195 + 0.00190205i
\(465\) 199661. 72670.8i 0.923396 0.336089i
\(466\) 64088.8 360204.i 0.295128 1.65874i
\(467\) 228783. 132088.i 1.04903 0.605660i 0.126655 0.991947i \(-0.459576\pi\)
0.922379 + 0.386287i \(0.126242\pi\)
\(468\) −317089. 981.646i −1.44774 0.00448191i
\(469\) 28317.5 160597.i 0.128739 0.730114i
\(470\) 9053.51 1581.93i 0.0409846 0.00716130i
\(471\) −72951.3 + 86940.0i −0.328845 + 0.391902i
\(472\) −326924. + 56081.5i −1.46745 + 0.251730i
\(473\) −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
\(478\) −101573. + 277730.i −0.444550 + 1.21553i
\(479\) −210409. + 250756.i −0.917052 + 1.09290i 0.0783324 + 0.996927i \(0.475040\pi\)
−0.995384 + 0.0959723i \(0.969404\pi\)
\(480\) −53193.6 + 142702.i −0.230875 + 0.619366i
\(481\) 31793.7 180311.i 0.137420 0.779350i
\(482\) 45550.8 + 79179.1i 0.196066 + 0.340813i
\(483\) −106156. + 61288.9i −0.455039 + 0.262717i
\(484\) 172015. + 145248.i 0.734303 + 0.620038i
\(485\) −136982. + 49857.2i −0.582342 + 0.211955i
\(486\) 376.921 243505.i 0.00159580 1.03095i
\(487\) 242387. + 139942.i 1.02200 + 0.590052i 0.914683 0.404172i \(-0.132440\pi\)
0.107318 + 0.994225i \(0.465774\pi\)
\(488\) 35987.7 198696.i 0.151117 0.834354i
\(489\) 161715. 135695.i 0.676288 0.567473i
\(490\) −42033.4 + 15225.3i −0.175066 + 0.0634122i
\(491\) −305590. + 53883.7i −1.26758 + 0.223509i −0.766699 0.642007i \(-0.778102\pi\)
−0.500882 + 0.865516i \(0.666991\pi\)
\(492\) 231770. 40127.9i 0.957476 0.165774i
\(493\) −116398. −0.478907
\(494\) 113192. + 189501.i 0.463831 + 0.776528i
\(495\) 31718.8i 0.129451i
\(496\) 233350. + 281619.i 0.948517 + 1.14472i
\(497\) 14045.6 + 79656.5i 0.0568627 + 0.322484i
\(498\) 576597. 208854.i 2.32495 0.842139i
\(499\) 11085.1 + 13210.8i 0.0445185 + 0.0530551i 0.787844 0.615875i \(-0.211197\pi\)
−0.743326 + 0.668930i \(0.766753\pi\)
\(500\) −176604. + 63660.2i −0.706416 + 0.254641i
\(501\) −202097. + 350043.i −0.805166 + 1.39459i
\(502\) 85.9843 55549.2i 0.000341202 0.220430i
\(503\) 9368.01 + 25738.4i 0.0370264 + 0.101729i 0.956828 0.290654i \(-0.0938729\pi\)
−0.919802 + 0.392383i \(0.871651\pi\)
\(504\) 101415. + 282714.i 0.399247 + 1.11298i
\(505\) −63452.4 109903.i −0.248809 0.430949i
\(506\) −11111.1 19314.0i −0.0433968 0.0754348i
\(507\) 74242.3 + 13090.9i 0.288825 + 0.0509277i
\(508\) −108741. + 295911.i −0.421374 + 1.14666i
\(509\) 199820. + 167669.i 0.771264 + 0.647168i 0.941032 0.338317i \(-0.109857\pi\)
−0.169768 + 0.985484i \(0.554302\pi\)
\(510\) 92058.3 251715.i 0.353934 0.967763i
\(511\) −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
\(516\) −435007. + 362725.i −1.63379 + 1.36232i
\(517\) 4100.96 + 3441.12i 0.0153428 + 0.0128741i
\(518\) −170840. + 29851.1i −0.636692 + 0.111250i
\(519\) 376270. + 66346.5i 1.39690 + 0.246311i
\(520\) −50527.5 + 86585.2i −0.186862 + 0.320211i
\(521\) −6274.77 10868.2i −0.0231165 0.0400389i 0.854236 0.519886i \(-0.174026\pi\)
−0.877352 + 0.479847i \(0.840692\pi\)
\(522\) 23469.8 131909.i 0.0861326 0.484099i
\(523\) 19840.9 + 54512.5i 0.0725368 + 0.199293i 0.970663 0.240445i \(-0.0772934\pi\)
−0.898126 + 0.439738i \(0.855071\pi\)
\(524\) −112048. 65154.5i −0.408078 0.237291i
\(525\) −136595. + 236590.i −0.495583 + 0.858375i
\(526\) 296297. 352005.i 1.07092 1.27227i
\(527\) −413733. 493067.i −1.48970 1.77535i
\(528\) −83545.3 + 29823.5i −0.299677 + 0.106977i
\(529\) 39141.0 + 221980.i 0.139869 + 0.793235i
\(530\) −99891.8 + 83556.0i −0.355613 + 0.297458i
\(531\) 671939.i 2.38309i
\(532\) 132253. 161938.i 0.467287 0.572171i
\(533\) 154836. 0.545027
\(534\) 465846. + 556922.i 1.63365 + 1.95304i
\(535\) −68422.5 + 12064.7i −0.239051 + 0.0421512i
\(536\) 186353. 220004.i 0.648645 0.765775i
\(537\) −84619.6 + 71004.3i −0.293442 + 0.246227i
\(538\) 325947. + 274363.i 1.12611 + 0.947895i
\(539\) −22551.7 13020.2i −0.0776251 0.0448168i
\(540\) 100073. + 58190.8i 0.343185 + 0.199557i
\(541\) 393857. 143352.i 1.34569 0.489790i 0.434087 0.900871i \(-0.357071\pi\)
0.911599 + 0.411081i \(0.134849\pi\)
\(542\) 179906. + 32009.4i 0.612416 + 0.108963i
\(543\) 558339. 322357.i 1.89364 1.09330i
\(544\) 461332. + 3570.54i 1.55889 + 0.0120652i
\(545\) 18171.1 103054.i 0.0611771 0.346953i
\(546\) 55292.4 + 316442.i 0.185473 + 1.06147i
\(547\) 38013.3 45302.4i 0.127046 0.151407i −0.698772 0.715345i \(-0.746270\pi\)
0.825817 + 0.563937i \(0.190714\pi\)
\(548\) 5743.63 4789.25i 0.0191260 0.0159480i
\(549\) −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
\(554\) −423377. 154839.i −1.37946 0.504500i
\(555\) −114504. + 136461.i −0.371737 + 0.443019i
\(556\) 72870.8 198299.i 0.235724 0.641461i
\(557\) 38352.1 217506.i 0.123617 0.701068i −0.858502 0.512810i \(-0.828605\pi\)
0.982120 0.188258i \(-0.0602842\pi\)
\(558\) 642197. 369449.i 2.06253 1.18655i
\(559\) −322886. + 186418.i −1.03330 + 0.596574i
\(560\) 93411.5 + 17068.0i 0.297868 + 0.0544259i
\(561\) 146703. 53395.5i 0.466137 0.169660i
\(562\) 475998. + 736.796i 1.50707 + 0.00233278i
\(563\) −111961. 64640.8i −0.353224 0.203934i 0.312880 0.949793i \(-0.398706\pi\)
−0.666104 + 0.745858i \(0.732040\pi\)
\(564\) 48984.0 17657.2i 0.153991 0.0555090i
\(565\) −162812. + 136616.i −0.510024 + 0.427961i
\(566\) −89690.1 247613.i −0.279970 0.772932i
\(567\) −9052.82 + 1596.26i −0.0281590 + 0.00496520i
\(568\) −49535.3 + 134156.i −0.153539 + 0.415826i
\(569\) −116975. −0.361299 −0.180649 0.983548i \(-0.557820\pi\)
−0.180649 + 0.983548i \(0.557820\pi\)
\(570\) −3187.70 214735.i −0.00981133 0.660925i
\(571\) 78682.8i 0.241328i 0.992693 + 0.120664i \(0.0385024\pi\)
−0.992693 + 0.120664i \(0.961498\pi\)
\(572\) −57537.9 + 9961.93i −0.175858 + 0.0304475i
\(573\) 26120.1 + 148134.i 0.0795546 + 0.451177i
\(574\) −49948.3 137896.i −0.151599 0.418530i
\(575\) −77985.4 92939.4i −0.235873 0.281102i
\(576\) −97066.5 + 522090.i −0.292566 + 1.57362i
\(577\) −293027. + 507538.i −0.880150 + 1.52446i −0.0289760 + 0.999580i \(0.509225\pi\)
−0.851174 + 0.524884i \(0.824109\pi\)
\(578\) −477835. 739.638i −1.43028 0.00221393i
\(579\) −103074. 283193.i −0.307462 0.844746i
\(580\) −32364.2 27328.0i −0.0962075 0.0812366i
\(581\) −191188. 331148.i −0.566382 0.981002i
\(582\) −715860. + 411826.i −2.11340 + 1.21582i
\(583\) −74704.8 13172.5i −0.219792 0.0387552i
\(584\) −68009.6 + 56530.8i −0.199409 + 0.165752i
\(585\) 155569. + 130538.i 0.454580 + 0.381438i
\(586\) −85533.3 31281.6i −0.249081 0.0910948i
\(587\) −77414.2 + 212694.i −0.224670 + 0.617275i −0.999896 0.0144087i \(-0.995413\pi\)
0.775227 + 0.631683i \(0.217636\pi\)
\(588\) −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
\(592\) −287481. 106655.i −0.820288 0.304325i
\(593\) 59836.1 + 50208.4i 0.170158 + 0.142780i 0.723890 0.689915i \(-0.242352\pi\)
−0.553732 + 0.832695i \(0.686797\pi\)
\(594\) 11606.2 + 66422.9i 0.0328940 + 0.188254i
\(595\) −164577. 29019.4i −0.464874 0.0819699i
\(596\) 358930. + 1111.18i 1.01046 + 0.00312817i
\(597\) 507230. + 878548.i 1.42317 + 2.46500i
\(598\) −140455. 24990.3i −0.392768 0.0698826i
\(599\) 9067.36 + 24912.4i 0.0252713 + 0.0694323i 0.951687 0.307071i \(-0.0993487\pi\)
−0.926415 + 0.376503i \(0.877127\pi\)
\(600\) −419417. + 239561.i −1.16505 + 0.665447i
\(601\) 11742.5 20338.6i 0.0325097 0.0563084i −0.849313 0.527890i \(-0.822983\pi\)
0.881822 + 0.471582i \(0.156317\pi\)
\(602\) 270181. + 227423.i 0.745525 + 0.627539i
\(603\) −375430. 447420.i −1.03251 1.23050i
\(604\) −647945. 116320.i −1.77609 0.318845i
\(605\) −25037.9 141997.i −0.0684050 0.387944i
\(606\) −461293. 551479.i −1.25612 1.50170i
\(607\) 444345.i 1.20599i 0.797746 + 0.602994i \(0.206026\pi\)
−0.797746 + 0.602994i \(0.793974\pi\)
\(608\) 346264. 129433.i 0.936698 0.350138i
\(609\) −135733. −0.365974
\(610\) −99197.5 + 82975.2i −0.266588 + 0.222992i
\(611\) 33754.7 5951.86i 0.0904173 0.0159430i
\(612\) 165135. 919863.i 0.440895 2.45595i
\(613\) 383769. 322021.i 1.02129 0.856965i 0.0315017 0.999504i \(-0.489971\pi\)
0.989789 + 0.142539i \(0.0455266\pi\)
\(614\) −37024.8 + 43986.0i −0.0982100 + 0.116675i
\(615\) −130463. 75322.7i −0.344934 0.199148i
\(616\) 27433.1 + 48029.1i 0.0722957 + 0.126574i
\(617\) 43358.5 15781.2i 0.113895 0.0414544i −0.284444 0.958693i \(-0.591809\pi\)
0.398339 + 0.917238i \(0.369587\pi\)
\(618\) 43487.4 244416.i 0.113864 0.639961i
\(619\) 302967. 174918.i 0.790705 0.456514i −0.0495056 0.998774i \(-0.515765\pi\)
0.840211 + 0.542260i \(0.182431\pi\)
\(620\) 725.138 234233.i 0.00188642 0.609347i
\(621\) −28606.0 + 162233.i −0.0741777 + 0.420683i
\(622\) 54868.4 9587.24i 0.141821 0.0247806i
\(623\) 291001. 346801.i 0.749753 0.893521i
\(624\) −197554. + 532495.i −0.507362 + 1.36756i
\(625\) −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
\(630\) 66070.9 180658.i 0.166467 0.455172i
\(631\) −30895.7 + 36820.0i −0.0775959 + 0.0924752i −0.803446 0.595378i \(-0.797002\pi\)
0.725850 + 0.687853i \(0.241447\pi\)
\(632\) −413431. 497380.i −1.03507 1.24524i
\(633\) 151544. 859446.i 0.378208 2.14492i
\(634\) 9635.53 + 16749.0i 0.0239716 + 0.0416688i
\(635\) 174857. 100954.i 0.433645 0.250365i
\(636\) −476005. + 563727.i −1.17678 + 1.39365i
\(637\) −156670. + 57023.2i −0.386106 + 0.140531i
\(638\) 38.1917 24673.3i 9.38269e−5 0.0606157i
\(639\) 250887. + 144849.i 0.614435 + 0.354744i
\(640\) 127434. + 109305.i 0.311119 + 0.266857i
\(641\) 81942.7 68758.1i 0.199432 0.167343i −0.537603 0.843198i \(-0.680670\pi\)
0.737034 + 0.675855i \(0.236226\pi\)
\(642\) −370094. + 134055.i −0.897928 + 0.325246i
\(643\) 273954. 48305.5i 0.662607 0.116835i 0.167777 0.985825i \(-0.446341\pi\)
0.494830 + 0.868990i \(0.335230\pi\)
\(644\) 23053.1 + 133150.i 0.0555850 + 0.321047i
\(645\) 362745. 0.871931
\(646\) −607965. + 231557.i −1.45685 + 0.554873i
\(647\) 537299.i 1.28353i 0.766900 + 0.641767i \(0.221798\pi\)
−0.766900 + 0.641767i \(0.778202\pi\)
\(648\) −15246.5 5629.60i −0.0363096 0.0134069i
\(649\) 21487.4 + 121861.i 0.0510146 + 0.289318i
\(650\) −298943. + 108283.i −0.707558 + 0.256290i
\(651\) −482457. 574970.i −1.13841 1.35670i
\(652\) −78918.2 218932.i −0.185644 0.515009i
\(653\) −81114.5 + 140494.i −0.190227 + 0.329483i −0.945325 0.326129i \(-0.894256\pi\)
0.755098 + 0.655611i \(0.227589\pi\)
\(654\) 917.672 592851.i 0.00214552 1.38609i
\(655\) 28391.6 + 78005.2i 0.0661770 + 0.181820i
\(656\) 46608.3 255083.i 0.108307 0.592754i
\(657\) 89575.0 + 155148.i 0.207518 + 0.359432i
\(658\) −16189.5 28141.6i −0.0373923 0.0649976i
\(659\) 510112. + 89946.5i 1.17461 + 0.207116i 0.726696 0.686959i \(-0.241055\pi\)
0.447917 + 0.894075i \(0.352166\pi\)
\(660\) 53326.8 + 19596.5i 0.122421 + 0.0449874i
\(661\) 351205. + 294696.i 0.803817 + 0.674483i 0.949124 0.314904i \(-0.101972\pi\)
−0.145306 + 0.989387i \(0.546417\pi\)
\(662\) −123232. + 336954.i −0.281195 + 0.768873i
\(663\) 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
\(668\) 285360. + 342224.i 0.639499 + 0.766934i
\(669\) 124151. + 104175.i 0.277394 + 0.232761i
\(670\) −181899. + 31783.5i −0.405211 + 0.0708031i
\(671\) −74185.5 13080.9i −0.164769 0.0290531i
\(672\) 537963. + 4163.64i 1.19128 + 0.00922007i
\(673\) −317579. 550062.i −0.701167 1.21446i −0.968057 0.250729i \(-0.919330\pi\)
0.266891 0.963727i \(-0.414004\pi\)
\(674\) −70845.6 + 398180.i −0.155953 + 0.876516i
\(675\) 125572. + 345005.i 0.275603 + 0.757213i
\(676\) 41776.5 71844.4i 0.0914195 0.157217i
\(677\) 389470. 674582.i 0.849762 1.47183i −0.0316595 0.999499i \(-0.510079\pi\)
0.881421 0.472331i \(-0.156587\pi\)
\(678\) −775417. + 921206.i −1.68685 + 2.00400i
\(679\) 330999. + 394469.i 0.717939 + 0.855606i
\(680\) −225457. 190972.i −0.487581 0.413002i
\(681\) 60708.8 + 344297.i 0.130905 + 0.742401i
\(682\) 104653. 87538.6i 0.225000 0.188205i
\(683\) 200843.i 0.430542i 0.976554 + 0.215271i \(0.0690635\pi\)
−0.976554 + 0.215271i \(0.930937\pi\)
\(684\) −139829. 735674.i −0.298872 1.57244i
\(685\) −4789.52 −0.0102073
\(686\) 324375. + 387793.i 0.689286 + 0.824047i
\(687\) 914426. 161238.i 1.93747 0.341628i
\(688\) 209918. + 588050.i 0.443480 + 1.24233i
\(689\) −372050. + 312187.i −0.783724 + 0.657622i
\(690\) 106189. + 89383.3i 0.223038 + 0.187741i
\(691\) −237701. 137237.i −0.497823 0.287418i 0.229991 0.973193i \(-0.426130\pi\)
−0.727814 + 0.685775i \(0.759464\pi\)
\(692\) 211729. 364117.i 0.442148 0.760377i
\(693\) 105290. 38322.4i 0.219240 0.0797969i
\(694\) 208421. + 37083.0i 0.432735 + 0.0769938i
\(695\) −117177. + 67651.9i −0.242589 + 0.140059i
\(696\) −207270. 120954.i −0.427876 0.249691i
\(697\) −79244.6 + 449419.i −0.163119 + 0.925093i
\(698\) 65276.2 + 373580.i 0.133981 + 0.766784i
\(699\) −853301. + 1.01692e6i −1.74642 + 2.08130i
\(700\) 192871. + 231305.i 0.393614 + 0.472052i
\(701\) 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
\(706\) −306406. 112060.i −0.614736 0.224824i
\(707\) −288157. + 343412.i −0.576488 + 0.687031i
\(708\) 1.12969e6 + 415137.i 2.25367 + 0.828180i
\(709\) −49185.1 + 278943.i −0.0978456 + 0.554910i 0.895993 + 0.444069i \(0.146466\pi\)
−0.993838 + 0.110841i \(0.964646\pi\)
\(710\) 79389.8 45672.0i 0.157488 0.0906011i
\(711\) −1.13466e6 + 655096.i −2.24453 + 1.29588i
\(712\) 753414. 270265.i 1.48619 0.533126i
\(713\) 313226. 114005.i 0.616139 0.224256i
\(714\) −946786. 1465.53i −1.85719 0.00287473i
\(715\) 32387.9 + 18699.2i 0.0633535 + 0.0365772i
\(716\) 41295.1 + 114560.i 0.0805513 + 0.223463i
\(717\) 821968. 689713.i 1.59888 1.34162i
\(718\) 35114.9 + 96944.0i 0.0681149 + 0.188049i
\(719\) 660766. 116511.i 1.27817 0.225376i 0.506969 0.861964i \(-0.330766\pi\)
0.771204 + 0.636588i \(0.219655\pi\)
\(720\) 261882. 216996.i 0.505173 0.418588i
\(721\) −154791. −0.297767
\(722\) −388667. + 347383.i −0.745596 + 0.666398i
\(723\) 331444.i 0.634066i
\(724\) −121251. 700318.i −0.231317 1.33604i
\(725\) −23328.6 132303.i −0.0443826 0.251706i
\(726\) −278204. 768055.i −0.527824 1.45720i
\(727\) −271689. 323787.i −0.514048 0.612619i 0.445115 0.895474i \(-0.353163\pi\)
−0.959163 + 0.282855i \(0.908718\pi\)
\(728\) 348464. + 63113.4i 0.657499 + 0.119086i
\(729\) −431486. + 747356.i −0.811917 + 1.40628i
\(730\) 56639.0 + 87.6714i 0.106285 + 0.000164517i
\(731\) −375835. 1.03260e6i −0.703335 1.93240i
\(732\) −472696. + 559809.i −0.882186 + 1.04476i
\(733\) 189120. + 327566.i 0.351990 + 0.609664i 0.986598 0.163170i \(-0.0521719\pi\)
−0.634608 + 0.772834i \(0.718839\pi\)
\(734\) 2538.42 1460.32i 0.00471164 0.00271055i
\(735\) 159748. + 28167.8i 0.295706 + 0.0521409i
\(736\) −83449.4 + 223869.i −0.154052 + 0.413274i
\(737\) −82394.8 69137.4i −0.151693 0.127285i
\(738\) −493331. 180423.i −0.905786 0.331268i
\(739\) −139181. + 382396.i −0.254853 + 0.700204i 0.744612 + 0.667498i \(0.232635\pi\)
−0.999465 + 0.0327059i \(0.989588\pi\)
\(740\) 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 \(-0.713957\pi\)
0.979967 0.199159i \(-0.0638211\pi\)
\(744\) −224367. 1.30794e6i −0.405334 2.36287i
\(745\) −176096. 147762.i −0.317276 0.266227i
\(746\) 113929. + 652026.i 0.204719 + 1.17162i
\(747\) −1.34871e6 237815.i −2.41701 0.426184i
\(748\) 532.802 172105.i 0.000952276 0.307602i
\(749\) 122716. + 212550.i 0.218745 + 0.378877i
\(750\) 670623. + 119320.i 1.19222 + 0.212124i
\(751\) −42072.6 115594.i −0.0745967 0.204953i 0.896790 0.442457i \(-0.145893\pi\)
−0.971387 + 0.237504i \(0.923671\pi\)
\(752\) 355.404 57400.4i 0.000628473 0.101503i
\(753\) −100778. + 174553.i −0.177736 + 0.307848i
\(754\) −120856. 101729.i −0.212581 0.178938i
\(755\) 271005. + 322972.i 0.475427 + 0.566592i
\(756\) 72256.1 402494.i 0.126424 0.704233i
\(757\) −44611.0 253001.i −0.0778485 0.441501i −0.998672 0.0515209i \(-0.983593\pi\)
0.920823 0.389980i \(-0.127518\pi\)
\(758\) 465099. + 556030.i 0.809482 + 0.967742i
\(759\) 80848.7i 0.140343i
\(760\) −223409. 78354.4i −0.386788 0.135655i
\(761\) 667985. 1.15345 0.576723 0.816940i \(-0.304331\pi\)
0.576723 + 0.816940i \(0.304331\pi\)
\(762\) 877410. 733923.i 1.51110 1.26398i
\(763\) −364038. + 64189.7i −0.625313 + 0.110260i
\(764\) 163214. + 29300.4i 0.279622 + 0.0501980i
\(765\) −458510. + 384736.i −0.783477 + 0.657415i
\(766\) −70118.3 + 83301.5i −0.119502 + 0.141970i
\(767\) 686112. + 396127.i 1.16628 + 0.673354i
\(768\) 817785. + 485749.i 1.38649 + 0.823549i
\(769\) −1.00825e6 + 366972.i −1.70496 + 0.620554i −0.996375 0.0850724i \(-0.972888\pi\)
−0.708584 + 0.705627i \(0.750666\pi\)
\(770\) 6205.34 34876.5i 0.0104661 0.0588235i
\(771\) −1.11550e6 + 644035.i