Properties

Label 76.5.l.a.23.17
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 23.17
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.14588 + 3.83236i) q^{2} +(9.44677 - 1.66572i) q^{3} +(-13.3739 - 8.78286i) q^{4} +(-12.8360 + 10.7707i) q^{5} +(-4.44126 + 38.1121i) q^{6} +(-66.0612 - 38.1405i) q^{7} +(48.9840 - 41.1894i) q^{8} +(10.3517 - 3.76773i) q^{9} +O(q^{10})\) \(q+(-1.14588 + 3.83236i) q^{2} +(9.44677 - 1.66572i) q^{3} +(-13.3739 - 8.78286i) q^{4} +(-12.8360 + 10.7707i) q^{5} +(-4.44126 + 38.1121i) q^{6} +(-66.0612 - 38.1405i) q^{7} +(48.9840 - 41.1894i) q^{8} +(10.3517 - 3.76773i) q^{9} +(-26.5686 - 61.5342i) q^{10} +(-169.242 + 97.7116i) q^{11} +(-140.970 - 60.6925i) q^{12} +(-29.5769 + 167.739i) q^{13} +(221.866 - 209.466i) q^{14} +(-103.318 + 123.130i) q^{15} +(101.723 + 234.922i) q^{16} +(11.9406 + 4.34604i) q^{17} +(2.57738 + 43.9889i) q^{18} +(-194.078 - 304.392i) q^{19} +(266.265 - 31.3093i) q^{20} +(-687.597 - 250.265i) q^{21} +(-180.535 - 760.560i) q^{22} +(656.091 - 781.899i) q^{23} +(394.130 - 470.701i) q^{24} +(-59.7747 + 338.999i) q^{25} +(-608.943 - 305.558i) q^{26} +(-581.381 + 335.660i) q^{27} +(548.514 + 1090.29i) q^{28} +(721.139 - 262.473i) q^{29} +(-353.486 - 537.043i) q^{30} +(256.282 + 147.964i) q^{31} +(-1016.87 + 120.644i) q^{32} +(-1436.03 + 1204.97i) q^{33} +(-30.3382 + 40.7807i) q^{34} +(1258.76 - 221.954i) q^{35} +(-171.535 - 40.5287i) q^{36} -1280.10 q^{37} +(1388.93 - 394.979i) q^{38} +1633.86i q^{39} +(-185.121 + 1056.30i) q^{40} +(387.269 + 2196.31i) q^{41} +(1747.01 - 2348.34i) q^{42} +(-66.3295 - 79.0485i) q^{43} +(3121.61 + 179.639i) q^{44} +(-92.2941 + 159.858i) q^{45} +(2244.71 + 3410.34i) q^{46} +(28.9427 + 79.5194i) q^{47} +(1352.27 + 2049.82i) q^{48} +(1708.89 + 2959.89i) q^{49} +(-1230.67 - 617.531i) q^{50} +(120.040 + 21.1663i) q^{51} +(1868.78 - 1983.55i) q^{52} +(-2932.99 - 2461.07i) q^{53} +(-620.176 - 2612.69i) q^{54} +(1119.97 - 3077.08i) q^{55} +(-4806.93 + 852.752i) q^{56} +(-2340.45 - 2552.24i) q^{57} +(179.550 + 3064.43i) q^{58} +(-1805.86 + 4961.56i) q^{59} +(2463.19 - 739.295i) q^{60} +(866.692 + 727.241i) q^{61} +(-860.720 + 812.612i) q^{62} +(-827.552 - 145.920i) q^{63} +(702.863 - 4035.24i) q^{64} +(-1427.01 - 2471.66i) q^{65} +(-2972.35 - 6884.11i) q^{66} +(167.766 + 460.934i) q^{67} +(-121.522 - 162.997i) q^{68} +(4895.52 - 8479.29i) q^{69} +(-591.789 + 5078.36i) q^{70} +(-2385.62 - 2843.08i) q^{71} +(351.879 - 610.940i) q^{72} +(741.316 + 4204.21i) q^{73} +(1466.84 - 4905.78i) q^{74} +3302.01i q^{75} +(-77.8511 + 5775.48i) q^{76} +14907.1 q^{77} +(-6261.52 - 1872.21i) q^{78} +(637.788 - 112.459i) q^{79} +(-3835.99 - 1919.84i) q^{80} +(-5616.60 + 4712.89i) q^{81} +(-8860.80 - 1032.56i) q^{82} +(-8935.16 - 5158.72i) q^{83} +(6997.81 + 9386.09i) q^{84} +(-200.080 + 72.8233i) q^{85} +(378.948 - 163.618i) q^{86} +(6375.23 - 3680.74i) q^{87} +(-4265.44 + 11757.3i) q^{88} +(984.013 - 5580.62i) q^{89} +(-506.875 - 536.883i) q^{90} +(8351.52 - 9952.95i) q^{91} +(-15641.8 + 4694.68i) q^{92} +(2667.50 + 970.890i) q^{93} +(-337.911 + 19.7988i) q^{94} +(5769.71 + 1816.83i) q^{95} +(-9405.16 + 2833.51i) q^{96} +(-1300.33 - 473.282i) q^{97} +(-13301.5 + 3157.40i) q^{98} +(-1383.79 + 1649.14i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.14588 + 3.83236i −0.286471 + 0.958089i
\(3\) 9.44677 1.66572i 1.04964 0.185080i 0.377885 0.925853i \(-0.376651\pi\)
0.671756 + 0.740772i \(0.265540\pi\)
\(4\) −13.3739 8.78286i −0.835869 0.548929i
\(5\) −12.8360 + 10.7707i −0.513441 + 0.430828i −0.862338 0.506333i \(-0.831001\pi\)
0.348897 + 0.937161i \(0.386556\pi\)
\(6\) −4.44126 + 38.1121i −0.123368 + 1.05867i
\(7\) −66.0612 38.1405i −1.34819 0.778377i −0.360196 0.932877i \(-0.617290\pi\)
−0.987993 + 0.154500i \(0.950623\pi\)
\(8\) 48.9840 41.1894i 0.765375 0.643585i
\(9\) 10.3517 3.76773i 0.127799 0.0465151i
\(10\) −26.5686 61.5342i −0.265686 0.615342i
\(11\) −169.242 + 97.7116i −1.39869 + 0.807534i −0.994256 0.107033i \(-0.965865\pi\)
−0.404435 + 0.914567i \(0.632532\pi\)
\(12\) −140.970 60.6925i −0.978958 0.421476i
\(13\) −29.5769 + 167.739i −0.175011 + 0.992536i 0.763120 + 0.646256i \(0.223666\pi\)
−0.938131 + 0.346280i \(0.887445\pi\)
\(14\) 221.866 209.466i 1.13197 1.06870i
\(15\) −103.318 + 123.130i −0.459191 + 0.547243i
\(16\) 101.723 + 234.922i 0.397354 + 0.917665i
\(17\) 11.9406 + 4.34604i 0.0413171 + 0.0150382i 0.362596 0.931946i \(-0.381890\pi\)
−0.321279 + 0.946985i \(0.604113\pi\)
\(18\) 2.57738 + 43.9889i 0.00795488 + 0.135768i
\(19\) −194.078 304.392i −0.537613 0.843192i
\(20\) 266.265 31.3093i 0.665663 0.0782732i
\(21\) −687.597 250.265i −1.55918 0.567494i
\(22\) −180.535 760.560i −0.373006 1.57140i
\(23\) 656.091 781.899i 1.24025 1.47807i 0.418503 0.908215i \(-0.362555\pi\)
0.821745 0.569855i \(-0.193001\pi\)
\(24\) 394.130 470.701i 0.684254 0.817189i
\(25\) −59.7747 + 338.999i −0.0956395 + 0.542398i
\(26\) −608.943 305.558i −0.900803 0.452009i
\(27\) −581.381 + 335.660i −0.797505 + 0.460439i
\(28\) 548.514 + 1090.29i 0.699635 + 1.39068i
\(29\) 721.139 262.473i 0.857478 0.312097i 0.124393 0.992233i \(-0.460302\pi\)
0.733086 + 0.680136i \(0.238079\pi\)
\(30\) −353.486 537.043i −0.392762 0.596715i
\(31\) 256.282 + 147.964i 0.266682 + 0.153969i 0.627379 0.778714i \(-0.284128\pi\)
−0.360697 + 0.932683i \(0.617461\pi\)
\(32\) −1016.87 + 120.644i −0.993035 + 0.117816i
\(33\) −1436.03 + 1204.97i −1.31866 + 1.10649i
\(34\) −30.3382 + 40.7807i −0.0262441 + 0.0352775i
\(35\) 1258.76 221.954i 1.02756 0.181187i
\(36\) −171.535 40.5287i −0.132357 0.0312722i
\(37\) −1280.10 −0.935059 −0.467529 0.883978i \(-0.654856\pi\)
−0.467529 + 0.883978i \(0.654856\pi\)
\(38\) 1388.93 394.979i 0.961863 0.273531i
\(39\) 1633.86i 1.07420i
\(40\) −185.121 + 1056.30i −0.115700 + 0.660188i
\(41\) 387.269 + 2196.31i 0.230380 + 1.30655i 0.852129 + 0.523332i \(0.175311\pi\)
−0.621749 + 0.783217i \(0.713577\pi\)
\(42\) 1747.01 2348.34i 0.990368 1.33126i
\(43\) −66.3295 79.0485i −0.0358732 0.0427520i 0.747810 0.663913i \(-0.231106\pi\)
−0.783683 + 0.621161i \(0.786661\pi\)
\(44\) 3121.61 + 179.639i 1.61240 + 0.0927888i
\(45\) −92.2941 + 159.858i −0.0455773 + 0.0789423i
\(46\) 2244.71 + 3410.34i 1.06083 + 1.61169i
\(47\) 28.9427 + 79.5194i 0.0131022 + 0.0359979i 0.946071 0.323958i \(-0.105014\pi\)
−0.932969 + 0.359956i \(0.882792\pi\)
\(48\) 1352.27 + 2049.82i 0.586921 + 0.889677i
\(49\) 1708.89 + 2959.89i 0.711742 + 1.23277i
\(50\) −1230.67 617.531i −0.492268 0.247012i
\(51\) 120.040 + 21.1663i 0.0461514 + 0.00813774i
\(52\) 1868.78 1983.55i 0.691118 0.733562i
\(53\) −2932.99 2461.07i −1.04414 0.876138i −0.0516753 0.998664i \(-0.516456\pi\)
−0.992465 + 0.122526i \(0.960901\pi\)
\(54\) −620.176 2612.69i −0.212680 0.895983i
\(55\) 1119.97 3077.08i 0.370236 1.01722i
\(56\) −4806.93 + 852.752i −1.53282 + 0.271923i
\(57\) −2340.45 2552.24i −0.720359 0.785547i
\(58\) 179.550 + 3064.43i 0.0533738 + 0.910947i
\(59\) −1805.86 + 4961.56i −0.518777 + 1.42533i 0.353093 + 0.935588i \(0.385130\pi\)
−0.871869 + 0.489739i \(0.837092\pi\)
\(60\) 2463.19 739.295i 0.684221 0.205360i
\(61\) 866.692 + 727.241i 0.232919 + 0.195442i 0.751776 0.659419i \(-0.229198\pi\)
−0.518857 + 0.854861i \(0.673642\pi\)
\(62\) −860.720 + 812.612i −0.223913 + 0.211398i
\(63\) −827.552 145.920i −0.208504 0.0367648i
\(64\) 702.863 4035.24i 0.171597 0.985167i
\(65\) −1427.01 2471.66i −0.337755 0.585008i
\(66\) −2972.35 6884.11i −0.682358 1.58038i
\(67\) 167.766 + 460.934i 0.0373728 + 0.102681i 0.956975 0.290169i \(-0.0937115\pi\)
−0.919603 + 0.392850i \(0.871489\pi\)
\(68\) −121.522 162.997i −0.0262808 0.0352501i
\(69\) 4895.52 8479.29i 1.02825 1.78099i
\(70\) −591.789 + 5078.36i −0.120773 + 1.03640i
\(71\) −2385.62 2843.08i −0.473244 0.563991i 0.475630 0.879646i \(-0.342220\pi\)
−0.948874 + 0.315655i \(0.897776\pi\)
\(72\) 351.879 610.940i 0.0678779 0.117851i
\(73\) 741.316 + 4204.21i 0.139110 + 0.788930i 0.971909 + 0.235356i \(0.0756255\pi\)
−0.832800 + 0.553575i \(0.813263\pi\)
\(74\) 1466.84 4905.78i 0.267867 0.895869i
\(75\) 3302.01i 0.587025i
\(76\) −77.8511 + 5775.48i −0.0134784 + 0.999909i
\(77\) 14907.1 2.51426
\(78\) −6261.52 1872.21i −1.02918 0.307726i
\(79\) 637.788 112.459i 0.102193 0.0180194i −0.122318 0.992491i \(-0.539033\pi\)
0.224511 + 0.974472i \(0.427922\pi\)
\(80\) −3835.99 1919.84i −0.599374 0.299976i
\(81\) −5616.60 + 4712.89i −0.856058 + 0.718318i
\(82\) −8860.80 1032.56i −1.31779 0.153564i
\(83\) −8935.16 5158.72i −1.29702 0.748834i −0.317131 0.948382i \(-0.602719\pi\)
−0.979888 + 0.199548i \(0.936053\pi\)
\(84\) 6997.81 + 9386.09i 0.991753 + 1.33023i
\(85\) −200.080 + 72.8233i −0.0276928 + 0.0100793i
\(86\) 378.948 163.618i 0.0512368 0.0221225i
\(87\) 6375.23 3680.74i 0.842282 0.486292i
\(88\) −4265.44 + 11757.3i −0.550806 + 1.51824i
\(89\) 984.013 5580.62i 0.124228 0.704534i −0.857535 0.514426i \(-0.828005\pi\)
0.981763 0.190108i \(-0.0608839\pi\)
\(90\) −506.875 536.883i −0.0625771 0.0662818i
\(91\) 8351.52 9952.95i 1.00852 1.20190i
\(92\) −15641.8 + 4694.68i −1.84804 + 0.554665i
\(93\) 2667.50 + 970.890i 0.308417 + 0.112255i
\(94\) −337.911 + 19.7988i −0.0382426 + 0.00224069i
\(95\) 5769.71 + 1816.83i 0.639303 + 0.201310i
\(96\) −9405.16 + 2833.51i −1.02053 + 0.307456i
\(97\) −1300.33 473.282i −0.138201 0.0503010i 0.271994 0.962299i \(-0.412317\pi\)
−0.410195 + 0.911998i \(0.634539\pi\)
\(98\) −13301.5 + 3157.40i −1.38500 + 0.328759i
\(99\) −1383.79 + 1649.14i −0.141189 + 0.168263i
\(100\) 3776.80 4008.75i 0.377680 0.400875i
\(101\) 1201.27 6812.77i 0.117761 0.667853i −0.867586 0.497287i \(-0.834329\pi\)
0.985346 0.170566i \(-0.0545595\pi\)
\(102\) −218.668 + 435.781i −0.0210177 + 0.0418859i
\(103\) −6777.10 + 3912.76i −0.638807 + 0.368815i −0.784155 0.620565i \(-0.786903\pi\)
0.145348 + 0.989381i \(0.453570\pi\)
\(104\) 5460.27 + 9434.76i 0.504832 + 0.872297i
\(105\) 11521.5 4193.50i 1.04504 0.380362i
\(106\) 12792.6 8420.16i 1.13853 0.749392i
\(107\) −6032.39 3482.80i −0.526892 0.304202i 0.212858 0.977083i \(-0.431723\pi\)
−0.739750 + 0.672882i \(0.765056\pi\)
\(108\) 10723.4 + 617.099i 0.919358 + 0.0529063i
\(109\) −9198.98 + 7718.86i −0.774260 + 0.649681i −0.941796 0.336185i \(-0.890863\pi\)
0.167536 + 0.985866i \(0.446419\pi\)
\(110\) 10509.1 + 7818.08i 0.868522 + 0.646122i
\(111\) −12092.8 + 2132.28i −0.981476 + 0.173061i
\(112\) 2240.13 19399.0i 0.178582 1.54648i
\(113\) −8006.99 −0.627064 −0.313532 0.949578i \(-0.601512\pi\)
−0.313532 + 0.949578i \(0.601512\pi\)
\(114\) 12463.0 6044.85i 0.958986 0.465131i
\(115\) 17103.0i 1.29324i
\(116\) −11949.7 2823.38i −0.888058 0.209823i
\(117\) 325.821 + 1847.82i 0.0238017 + 0.134986i
\(118\) −16945.2 12606.1i −1.21698 0.905349i
\(119\) −623.054 742.527i −0.0439979 0.0524346i
\(120\) 10.7092 + 10287.0i 0.000743692 + 0.714374i
\(121\) 11774.6 20394.3i 0.804223 1.39296i
\(122\) −3780.17 + 2488.14i −0.253976 + 0.167169i
\(123\) 7316.87 + 20102.9i 0.483632 + 1.32877i
\(124\) −2127.93 4229.74i −0.138393 0.275087i
\(125\) −8120.31 14064.8i −0.519700 0.900147i
\(126\) 1507.49 3004.27i 0.0949542 0.189233i
\(127\) 28601.8 + 5043.27i 1.77332 + 0.312683i 0.962229 0.272243i \(-0.0877654\pi\)
0.811087 + 0.584926i \(0.198877\pi\)
\(128\) 14659.1 + 7317.54i 0.894720 + 0.446627i
\(129\) −758.272 636.266i −0.0455665 0.0382348i
\(130\) 11107.5 2636.59i 0.657247 0.156011i
\(131\) 2466.96 6777.91i 0.143754 0.394960i −0.846831 0.531862i \(-0.821492\pi\)
0.990585 + 0.136902i \(0.0437146\pi\)
\(132\) 29788.3 3502.72i 1.70962 0.201028i
\(133\) 1211.39 + 27510.8i 0.0684826 + 1.55525i
\(134\) −1958.71 + 114.764i −0.109084 + 0.00639138i
\(135\) 3847.32 10570.4i 0.211101 0.579996i
\(136\) 763.911 278.942i 0.0413014 0.0150812i
\(137\) 16474.6 + 13823.9i 0.877757 + 0.736526i 0.965717 0.259598i \(-0.0835901\pi\)
−0.0879593 + 0.996124i \(0.528035\pi\)
\(138\) 26886.0 + 28477.6i 1.41178 + 1.49536i
\(139\) −13235.5 2333.78i −0.685032 0.120790i −0.179709 0.983720i \(-0.557516\pi\)
−0.505323 + 0.862930i \(0.668627\pi\)
\(140\) −18784.0 8087.16i −0.958366 0.412610i
\(141\) 405.872 + 702.991i 0.0204151 + 0.0353599i
\(142\) 13629.3 5884.73i 0.675924 0.291843i
\(143\) −11384.4 31278.3i −0.556721 1.52958i
\(144\) 1938.13 + 2048.59i 0.0934669 + 0.0987940i
\(145\) −6429.54 + 11136.3i −0.305804 + 0.529669i
\(146\) −16961.5 1976.55i −0.795716 0.0927260i
\(147\) 21073.9 + 25114.8i 0.975235 + 1.16224i
\(148\) 17119.9 + 11242.9i 0.781586 + 0.513281i
\(149\) −1067.73 6055.42i −0.0480939 0.272754i 0.951272 0.308352i \(-0.0997775\pi\)
−0.999366 + 0.0355980i \(0.988666\pi\)
\(150\) −12654.5 3783.72i −0.562422 0.168165i
\(151\) 15906.8i 0.697638i 0.937190 + 0.348819i \(0.113417\pi\)
−0.937190 + 0.348819i \(0.886583\pi\)
\(152\) −22044.5 6916.37i −0.954141 0.299358i
\(153\) 139.981 0.00597980
\(154\) −17081.8 + 57129.2i −0.720263 + 2.40889i
\(155\) −4883.31 + 861.060i −0.203260 + 0.0358402i
\(156\) 14349.9 21851.0i 0.589658 0.897889i
\(157\) −22432.0 + 18822.7i −0.910056 + 0.763628i −0.972130 0.234444i \(-0.924673\pi\)
0.0620733 + 0.998072i \(0.480229\pi\)
\(158\) −299.847 + 2573.10i −0.0120112 + 0.103072i
\(159\) −31806.7 18363.6i −1.25813 0.726381i
\(160\) 11753.1 12501.0i 0.459107 0.488319i
\(161\) −73164.2 + 26629.6i −2.82258 + 1.02734i
\(162\) −11625.5 26925.2i −0.442977 1.02596i
\(163\) 17456.7 10078.6i 0.657031 0.379337i −0.134114 0.990966i \(-0.542819\pi\)
0.791145 + 0.611629i \(0.209485\pi\)
\(164\) 14110.6 32774.6i 0.524635 1.21857i
\(165\) 5454.50 30934.0i 0.200349 1.13624i
\(166\) 30008.7 28331.4i 1.08901 1.02814i
\(167\) 1213.22 1445.86i 0.0435018 0.0518434i −0.743855 0.668341i \(-0.767005\pi\)
0.787357 + 0.616498i \(0.211449\pi\)
\(168\) −43989.5 + 16062.7i −1.55858 + 0.569117i
\(169\) −422.906 153.925i −0.0148071 0.00538935i
\(170\) −49.8161 850.226i −0.00172374 0.0294196i
\(171\) −3155.91 2419.76i −0.107928 0.0827521i
\(172\) 192.813 + 1639.75i 0.00651747 + 0.0554269i
\(173\) 5938.54 + 2161.45i 0.198421 + 0.0722193i 0.439319 0.898331i \(-0.355220\pi\)
−0.240898 + 0.970550i \(0.577442\pi\)
\(174\) 6800.64 + 28649.9i 0.224622 + 0.946289i
\(175\) 16878.4 20114.9i 0.551130 0.656812i
\(176\) −40170.3 29819.1i −1.29682 0.962653i
\(177\) −8794.98 + 49878.8i −0.280730 + 1.59210i
\(178\) 20259.3 + 10165.8i 0.639419 + 0.320850i
\(179\) −3426.23 + 1978.13i −0.106933 + 0.0617376i −0.552513 0.833505i \(-0.686331\pi\)
0.445580 + 0.895242i \(0.352998\pi\)
\(180\) 2638.34 1327.32i 0.0814304 0.0409667i
\(181\) −25112.2 + 9140.08i −0.766526 + 0.278993i −0.695543 0.718485i \(-0.744836\pi\)
−0.0709835 + 0.997477i \(0.522614\pi\)
\(182\) 28573.4 + 43410.9i 0.862619 + 1.31056i
\(183\) 9398.82 + 5426.41i 0.280654 + 0.162036i
\(184\) −68.0055 65324.6i −0.00200867 1.92948i
\(185\) 16431.3 13787.5i 0.480097 0.402849i
\(186\) −6777.44 + 9110.28i −0.195902 + 0.263333i
\(187\) −2445.51 + 431.210i −0.0699337 + 0.0123312i
\(188\) 311.331 1317.68i 0.00880860 0.0372817i
\(189\) 51209.0 1.43358
\(190\) −13574.1 + 20029.7i −0.376015 + 0.554840i
\(191\) 34647.5i 0.949740i 0.880056 + 0.474870i \(0.157505\pi\)
−0.880056 + 0.474870i \(0.842495\pi\)
\(192\) −81.8067 39290.8i −0.00221915 1.06583i
\(193\) −4533.64 25711.6i −0.121712 0.690262i −0.983207 0.182496i \(-0.941582\pi\)
0.861495 0.507766i \(-0.169529\pi\)
\(194\) 3303.82 4441.01i 0.0877834 0.117999i
\(195\) −17597.8 20972.2i −0.462795 0.551537i
\(196\) 3141.73 54594.2i 0.0817819 1.42113i
\(197\) 4559.39 7897.09i 0.117483 0.203486i −0.801287 0.598281i \(-0.795851\pi\)
0.918769 + 0.394794i \(0.129184\pi\)
\(198\) −4734.43 7192.91i −0.120764 0.183474i
\(199\) −18247.3 50134.2i −0.460780 1.26598i −0.924900 0.380210i \(-0.875852\pi\)
0.464120 0.885772i \(-0.346371\pi\)
\(200\) 11035.2 + 19067.6i 0.275879 + 0.476690i
\(201\) 2352.64 + 4074.89i 0.0582322 + 0.100861i
\(202\) 24732.4 + 12410.3i 0.606128 + 0.304145i
\(203\) −57650.2 10165.3i −1.39897 0.246676i
\(204\) −1419.50 1337.37i −0.0341095 0.0321359i
\(205\) −28626.8 24020.7i −0.681185 0.571582i
\(206\) −7229.33 30455.8i −0.170358 0.717689i
\(207\) 3845.71 10566.0i 0.0897502 0.246587i
\(208\) −42414.2 + 10114.5i −0.980358 + 0.233787i
\(209\) 62588.8 + 32552.1i 1.43286 + 0.745223i
\(210\) 2868.64 + 48959.9i 0.0650484 + 1.11020i
\(211\) −20680.2 + 56818.5i −0.464505 + 1.27622i 0.457558 + 0.889180i \(0.348724\pi\)
−0.922064 + 0.387038i \(0.873498\pi\)
\(212\) 17610.3 + 58674.2i 0.391827 + 1.30550i
\(213\) −27272.2 22884.1i −0.601120 0.504400i
\(214\) 20259.8 19127.4i 0.442391 0.417665i
\(215\) 1702.81 + 300.252i 0.0368375 + 0.00649545i
\(216\) −14652.7 + 40388.7i −0.314058 + 0.865671i
\(217\) −11286.9 19549.4i −0.239692 0.415158i
\(218\) −19040.5 44098.7i −0.400650 0.927925i
\(219\) 14006.1 + 38481.4i 0.292031 + 0.802347i
\(220\) −42003.9 + 31316.1i −0.867848 + 0.647026i
\(221\) −1082.17 + 1874.37i −0.0221569 + 0.0383769i
\(222\) 5685.24 48787.1i 0.115357 0.989918i
\(223\) −43023.8 51273.8i −0.865165 1.03106i −0.999196 0.0400867i \(-0.987237\pi\)
0.134031 0.990977i \(-0.457208\pi\)
\(224\) 71777.0 + 30814.0i 1.43050 + 0.614118i
\(225\) 658.483 + 3734.44i 0.0130071 + 0.0737668i
\(226\) 9175.07 30685.6i 0.179636 0.600784i
\(227\) 67451.5i 1.30900i 0.756062 + 0.654500i \(0.227121\pi\)
−0.756062 + 0.654500i \(0.772879\pi\)
\(228\) 8884.89 + 54689.3i 0.170916 + 1.05204i
\(229\) 34692.9 0.661561 0.330781 0.943708i \(-0.392688\pi\)
0.330781 + 0.943708i \(0.392688\pi\)
\(230\) −65544.9 19598.1i −1.23903 0.370474i
\(231\) 140824. 24831.0i 2.63908 0.465340i
\(232\) 24513.2 42560.3i 0.455432 0.790731i
\(233\) 53934.4 45256.3i 0.993468 0.833619i 0.00740222 0.999973i \(-0.497644\pi\)
0.986066 + 0.166354i \(0.0531993\pi\)
\(234\) −7454.87 868.728i −0.136147 0.0158654i
\(235\) −1227.99 708.979i −0.0222361 0.0128380i
\(236\) 67728.1 50494.8i 1.21603 0.906615i
\(237\) 5837.72 2124.75i 0.103931 0.0378279i
\(238\) 3559.57 1536.92i 0.0628411 0.0271329i
\(239\) −32055.9 + 18507.5i −0.561194 + 0.324005i −0.753624 0.657305i \(-0.771696\pi\)
0.192431 + 0.981311i \(0.438363\pi\)
\(240\) −39435.7 11746.6i −0.684647 0.203935i
\(241\) 5042.84 28599.4i 0.0868243 0.492405i −0.910124 0.414337i \(-0.864014\pi\)
0.996948 0.0780685i \(-0.0248753\pi\)
\(242\) 64665.7 + 68494.0i 1.10419 + 1.16956i
\(243\) −10255.5 + 12222.1i −0.173678 + 0.206981i
\(244\) −5203.80 17338.1i −0.0874059 0.291220i
\(245\) −53815.4 19587.2i −0.896550 0.326318i
\(246\) −85425.9 + 5005.24i −1.41163 + 0.0827094i
\(247\) 56798.6 23551.5i 0.930987 0.386033i
\(248\) 18648.3 3308.21i 0.303204 0.0537885i
\(249\) −93001.4 33849.8i −1.50000 0.545955i
\(250\) 63206.2 15003.3i 1.01130 0.240053i
\(251\) −48414.9 + 57698.7i −0.768479 + 0.915838i −0.998352 0.0573830i \(-0.981724\pi\)
0.229873 + 0.973221i \(0.426169\pi\)
\(252\) 9786.00 + 9219.79i 0.154101 + 0.145184i
\(253\) −34637.2 + 196438.i −0.541131 + 3.06891i
\(254\) −52101.9 + 103833.i −0.807581 + 1.60942i
\(255\) −1768.81 + 1021.22i −0.0272020 + 0.0157051i
\(256\) −44841.0 + 47793.8i −0.684220 + 0.729276i
\(257\) 106187. 38648.8i 1.60770 0.585154i 0.626715 0.779249i \(-0.284399\pi\)
0.980983 + 0.194094i \(0.0621768\pi\)
\(258\) 3307.29 2176.88i 0.0496859 0.0327036i
\(259\) 84564.7 + 48823.4i 1.26064 + 0.727828i
\(260\) −2623.51 + 45589.0i −0.0388093 + 0.674394i
\(261\) 6476.12 5434.11i 0.0950679 0.0797714i
\(262\) 23148.5 + 17221.0i 0.337226 + 0.250873i
\(263\) 34682.7 6115.49i 0.501420 0.0884138i 0.0827829 0.996568i \(-0.473619\pi\)
0.418637 + 0.908154i \(0.362508\pi\)
\(264\) −20710.3 + 118173.i −0.297152 + 1.69555i
\(265\) 64155.4 0.913569
\(266\) −106819. 26881.7i −1.50968 0.379920i
\(267\) 54357.9i 0.762500i
\(268\) 1804.63 7637.96i 0.0251258 0.106343i
\(269\) −16322.1 92567.1i −0.225565 1.27924i −0.861603 0.507583i \(-0.830539\pi\)
0.636038 0.771658i \(-0.280572\pi\)
\(270\) 36101.0 + 26856.8i 0.495213 + 0.368406i
\(271\) 19899.9 + 23715.8i 0.270965 + 0.322924i 0.884318 0.466886i \(-0.154624\pi\)
−0.613353 + 0.789809i \(0.710180\pi\)
\(272\) 193.652 + 3247.21i 0.00261748 + 0.0438908i
\(273\) 62316.0 107935.i 0.836131 1.44822i
\(274\) −71855.9 + 47296.1i −0.957109 + 0.629977i
\(275\) −23007.8 63213.4i −0.304235 0.835879i
\(276\) −139945. + 70404.5i −1.83712 + 0.924235i
\(277\) 57793.2 + 100101.i 0.753212 + 1.30460i 0.946258 + 0.323411i \(0.104830\pi\)
−0.193047 + 0.981190i \(0.561837\pi\)
\(278\) 24110.2 48048.9i 0.311969 0.621719i
\(279\) 3210.45 + 566.089i 0.0412437 + 0.00727237i
\(280\) 52517.1 62719.9i 0.669861 0.799999i
\(281\) 7904.89 + 6632.99i 0.100111 + 0.0840033i 0.691470 0.722406i \(-0.256964\pi\)
−0.591358 + 0.806409i \(0.701408\pi\)
\(282\) −3159.19 + 749.900i −0.0397263 + 0.00942986i
\(283\) −18601.0 + 51105.8i −0.232254 + 0.638113i −0.999997 0.00264574i \(-0.999158\pi\)
0.767742 + 0.640759i \(0.221380\pi\)
\(284\) 6934.76 + 58975.6i 0.0859794 + 0.731200i
\(285\) 57531.5 + 7552.41i 0.708297 + 0.0929814i
\(286\) 132915. 7787.69i 1.62496 0.0952087i
\(287\) 58184.8 159862.i 0.706392 1.94080i
\(288\) −10071.8 + 5080.15i −0.121429 + 0.0612480i
\(289\) −63857.1 53582.5i −0.764563 0.641545i
\(290\) −35310.7 37401.2i −0.419866 0.444723i
\(291\) −13072.3 2305.00i −0.154371 0.0272198i
\(292\) 27010.7 62737.6i 0.316789 0.735804i
\(293\) 47191.0 + 81737.1i 0.549697 + 0.952103i 0.998295 + 0.0583698i \(0.0185902\pi\)
−0.448598 + 0.893734i \(0.648076\pi\)
\(294\) −120397. + 51983.8i −1.39291 + 0.601414i
\(295\) −30259.4 83137.1i −0.347710 0.955325i
\(296\) −62704.2 + 52726.4i −0.715670 + 0.601789i
\(297\) 65595.9 113615.i 0.743641 1.28802i
\(298\) 24430.0 + 2846.87i 0.275100 + 0.0320579i
\(299\) 111750. + 133178.i 1.24998 + 1.48967i
\(300\) 29001.1 44160.8i 0.322235 0.490676i
\(301\) 1366.87 + 7751.88i 0.0150866 + 0.0855606i
\(302\) −60960.7 18227.4i −0.668399 0.199853i
\(303\) 66359.6i 0.722801i
\(304\) 51766.4 76556.9i 0.560145 0.828394i
\(305\) −18957.8 −0.203792
\(306\) −160.402 + 536.458i −0.00171304 + 0.00572918i
\(307\) −133855. + 23602.2i −1.42022 + 0.250424i −0.830427 0.557128i \(-0.811903\pi\)
−0.589797 + 0.807551i \(0.700792\pi\)
\(308\) −199366. 130927.i −2.10160 1.38015i
\(309\) −57504.2 + 48251.7i −0.602258 + 0.505354i
\(310\) 2295.82 19701.3i 0.0238899 0.205008i
\(311\) 7636.00 + 4408.65i 0.0789488 + 0.0455811i 0.538955 0.842335i \(-0.318819\pi\)
−0.460006 + 0.887916i \(0.652153\pi\)
\(312\) 67297.6 + 80032.8i 0.691338 + 0.822164i
\(313\) −51350.6 + 18690.1i −0.524152 + 0.190776i −0.590525 0.807019i \(-0.701079\pi\)
0.0663735 + 0.997795i \(0.478857\pi\)
\(314\) −46430.7 107536.i −0.470919 1.09067i
\(315\) 12194.1 7040.28i 0.122894 0.0709527i
\(316\) −9517.44 4097.59i −0.0953116 0.0410350i
\(317\) 25232.3 143099.i 0.251095 1.42403i −0.554806 0.831980i \(-0.687207\pi\)
0.805901 0.592051i \(-0.201681\pi\)
\(318\) 106823. 100852.i 1.05635 0.997312i
\(319\) −96400.0 + 114885.i −0.947318 + 1.12897i
\(320\) 34440.5 + 59366.8i 0.336333 + 0.579754i
\(321\) −62788.0 22853.0i −0.609350 0.221785i
\(322\) −18216.5 310906.i −0.175692 2.99859i
\(323\) −994.519 4478.11i −0.00953253 0.0429230i
\(324\) 116508. 13699.9i 1.10986 0.130505i
\(325\) −55095.3 20053.0i −0.521612 0.189851i
\(326\) 18621.5 + 78449.0i 0.175218 + 0.738163i
\(327\) −74043.2 + 88241.3i −0.692452 + 0.825232i
\(328\) 109435. + 91632.6i 1.01720 + 0.851731i
\(329\) 1120.92 6357.04i 0.0103558 0.0587304i
\(330\) 112300. + 56350.3i 1.03122 + 0.517450i
\(331\) −119570. + 69033.8i −1.09136 + 0.630095i −0.933937 0.357437i \(-0.883651\pi\)
−0.157419 + 0.987532i \(0.550317\pi\)
\(332\) 74189.7 + 147469.i 0.673081 + 1.33790i
\(333\) −13251.2 + 4823.05i −0.119500 + 0.0434944i
\(334\) 4150.85 + 6306.29i 0.0372086 + 0.0565302i
\(335\) −7118.04 4109.60i −0.0634265 0.0366193i
\(336\) −11151.3 186989.i −0.0987754 1.65630i
\(337\) −111692. + 93721.0i −0.983476 + 0.825234i −0.984610 0.174765i \(-0.944083\pi\)
0.00113423 + 0.999999i \(0.499639\pi\)
\(338\) 1074.50 1444.35i 0.00940528 0.0126426i
\(339\) −75640.2 + 13337.4i −0.658193 + 0.116057i
\(340\) 3315.45 + 783.347i 0.0286804 + 0.00677635i
\(341\) −57831.3 −0.497341
\(342\) 12889.7 9321.83i 0.110202 0.0796983i
\(343\) 77561.2i 0.659260i
\(344\) −6505.04 1140.03i −0.0549710 0.00963387i
\(345\) 28488.9 + 161568.i 0.239352 + 1.35743i
\(346\) −15088.3 + 20281.8i −0.126034 + 0.169416i
\(347\) −86825.3 103474.i −0.721087 0.859358i 0.273649 0.961830i \(-0.411769\pi\)
−0.994736 + 0.102472i \(0.967325\pi\)
\(348\) −117589. 6766.91i −0.970977 0.0558768i
\(349\) −17935.9 + 31065.9i −0.147256 + 0.255055i −0.930212 0.367022i \(-0.880377\pi\)
0.782956 + 0.622077i \(0.213711\pi\)
\(350\) 57746.7 + 87733.2i 0.471401 + 0.716189i
\(351\) −39107.8 107448.i −0.317431 0.872134i
\(352\) 160308. 119778.i 1.29381 0.966698i
\(353\) 11206.4 + 19410.1i 0.0899327 + 0.155768i 0.907482 0.420090i \(-0.138001\pi\)
−0.817550 + 0.575858i \(0.804668\pi\)
\(354\) −181075. 90860.8i −1.44495 0.725053i
\(355\) 61243.9 + 10798.9i 0.485966 + 0.0856889i
\(356\) −62173.9 + 65992.2i −0.490578 + 0.520706i
\(357\) −7122.69 5976.65i −0.0558866 0.0468944i
\(358\) −3654.86 15397.2i −0.0285170 0.120137i
\(359\) 21249.8 58383.5i 0.164880 0.453003i −0.829547 0.558437i \(-0.811401\pi\)
0.994426 + 0.105434i \(0.0336233\pi\)
\(360\) 2063.53 + 11632.0i 0.0159223 + 0.0897533i
\(361\) −54988.2 + 118152.i −0.421945 + 0.906622i
\(362\) −6252.44 106712.i −0.0477125 0.814324i
\(363\) 77261.1 212273.i 0.586337 1.61095i
\(364\) −199108. + 59759.6i −1.50275 + 0.451029i
\(365\) −54797.8 45980.8i −0.411318 0.345137i
\(366\) −31565.9 + 29801.6i −0.235644 + 0.222473i
\(367\) 116874. + 20608.1i 0.867734 + 0.153005i 0.589755 0.807582i \(-0.299224\pi\)
0.277979 + 0.960587i \(0.410335\pi\)
\(368\) 250425. + 74593.7i 1.84919 + 0.550816i
\(369\) 12284.0 + 21276.5i 0.0902167 + 0.156260i
\(370\) 34010.3 + 78769.6i 0.248432 + 0.575380i
\(371\) 99890.6 + 274447.i 0.725733 + 1.99393i
\(372\) −27147.7 36412.9i −0.196176 0.263129i
\(373\) −18660.0 + 32320.1i −0.134120 + 0.232303i −0.925261 0.379331i \(-0.876154\pi\)
0.791141 + 0.611634i \(0.209488\pi\)
\(374\) 1149.72 9866.19i 0.00821958 0.0705352i
\(375\) −100139. 119341.i −0.712098 0.848645i
\(376\) 4693.08 + 2703.04i 0.0331958 + 0.0191195i
\(377\) 22697.9 + 128726.i 0.159699 + 0.905699i
\(378\) −58679.5 + 196251.i −0.410679 + 1.37350i
\(379\) 100979.i 0.702998i 0.936188 + 0.351499i \(0.114328\pi\)
−0.936188 + 0.351499i \(0.885672\pi\)
\(380\) −61206.6 74972.6i −0.423869 0.519201i
\(381\) 278595. 1.91922
\(382\) −132781. 39701.9i −0.909935 0.272073i
\(383\) 58.2625 10.2733i 0.000397184 7.00343e-5i −0.173450 0.984843i \(-0.555491\pi\)
0.173847 + 0.984773i \(0.444380\pi\)
\(384\) 150670. + 44709.2i 1.02180 + 0.303203i
\(385\) −191348. + 160560.i −1.29093 + 1.08322i
\(386\) 103731. + 12087.9i 0.696199 + 0.0811291i
\(387\) −984.459 568.378i −0.00657318 0.00379503i
\(388\) 13233.8 + 17750.3i 0.0879062 + 0.117908i
\(389\) −173192. + 63036.7i −1.14453 + 0.416576i −0.843548 0.537053i \(-0.819537\pi\)
−0.300984 + 0.953629i \(0.597315\pi\)
\(390\) 100538. 43409.2i 0.660999 0.285399i
\(391\) 11232.3 6484.98i 0.0734710 0.0424185i
\(392\) 205624. + 74598.8i 1.33814 + 0.485467i
\(393\) 12014.7 68138.6i 0.0777906 0.441172i
\(394\) 25039.9 + 26522.3i 0.161302 + 0.170852i
\(395\) −6975.40 + 8312.96i −0.0447069 + 0.0532797i
\(396\) 32990.9 9901.78i 0.210380 0.0631427i
\(397\) 17244.2 + 6276.37i 0.109411 + 0.0398224i 0.396146 0.918188i \(-0.370348\pi\)
−0.286734 + 0.958010i \(0.592570\pi\)
\(398\) 213041. 12482.4i 1.34492 0.0788012i
\(399\) 57269.0 + 257870.i 0.359727 + 1.61978i
\(400\) −85718.9 + 20441.4i −0.535743 + 0.127759i
\(401\) −13685.2 4981.01i −0.0851065 0.0309762i 0.299116 0.954217i \(-0.403308\pi\)
−0.384223 + 0.923241i \(0.625530\pi\)
\(402\) −18312.3 + 4346.80i −0.113316 + 0.0268979i
\(403\) −32399.3 + 38612.0i −0.199492 + 0.237745i
\(404\) −75901.4 + 80562.7i −0.465036 + 0.493595i
\(405\) 21333.7 120989.i 0.130064 0.737628i
\(406\) 105017. 209288.i 0.637102 1.26967i
\(407\) 216645. 125080.i 1.30786 0.755092i
\(408\) 6751.86 3907.56i 0.0405605 0.0234739i
\(409\) −107372. + 39080.1i −0.641865 + 0.233620i −0.642387 0.766380i \(-0.722056\pi\)
0.000522548 1.00000i \(0.499834\pi\)
\(410\) 124859. 82183.1i 0.742766 0.488894i
\(411\) 178659. + 103149.i 1.05765 + 0.610633i
\(412\) 125002. + 7193.47i 0.736412 + 0.0423783i
\(413\) 308534. 258891.i 1.80885 1.51781i
\(414\) 36085.9 + 26845.5i 0.210541 + 0.156629i
\(415\) 170255. 30020.5i 0.988561 0.174310i
\(416\) 9839.16 174136.i 0.0568553 1.00624i
\(417\) −128920. −0.741394
\(418\) −196471. + 202562.i −1.12446 + 1.15932i
\(419\) 74769.1i 0.425887i −0.977065 0.212943i \(-0.931695\pi\)
0.977065 0.212943i \(-0.0683050\pi\)
\(420\) −190919. 45108.7i −1.08231 0.255718i
\(421\) 11236.6 + 63726.2i 0.0633975 + 0.359545i 0.999959 + 0.00904225i \(0.00287828\pi\)
−0.936562 + 0.350503i \(0.886011\pi\)
\(422\) −194052. 144361.i −1.08966 0.810637i
\(423\) 599.214 + 714.116i 0.00334889 + 0.00399106i
\(424\) −245040. + 255.096i −1.36303 + 0.00141897i
\(425\) −2187.05 + 3788.08i −0.0121082 + 0.0209721i
\(426\) 118951. 78294.3i 0.655463 0.431431i
\(427\) −29517.4 81098.5i −0.161891 0.444792i
\(428\) 50087.6 + 99560.3i 0.273428 + 0.543499i
\(429\) −159647. 276516.i −0.867452 1.50247i
\(430\) −3101.90 + 6181.74i −0.0167761 + 0.0334329i
\(431\) −11471.9 2022.80i −0.0617560 0.0108892i 0.142685 0.989768i \(-0.454426\pi\)
−0.204441 + 0.978879i \(0.565538\pi\)
\(432\) −137994. 102435.i −0.739421 0.548885i
\(433\) 74306.9 + 62350.9i 0.396327 + 0.332558i 0.819072 0.573691i \(-0.194489\pi\)
−0.422745 + 0.906249i \(0.638933\pi\)
\(434\) 87853.7 20853.9i 0.466423 0.110715i
\(435\) −42188.4 + 115912.i −0.222954 + 0.612561i
\(436\) 190820. 22437.9i 1.00381 0.118035i
\(437\) −365337. 47959.4i −1.91307 0.251137i
\(438\) −163524. + 9581.11i −0.852378 + 0.0499422i
\(439\) 11111.6 30528.8i 0.0576562 0.158409i −0.907521 0.420008i \(-0.862027\pi\)
0.965177 + 0.261598i \(0.0842496\pi\)
\(440\) −71882.7 196858.i −0.371295 1.01683i
\(441\) 28842.0 + 24201.4i 0.148303 + 0.124441i
\(442\) −5943.20 6295.05i −0.0304212 0.0322221i
\(443\) 191311. + 33733.2i 0.974836 + 0.171890i 0.638306 0.769783i \(-0.279636\pi\)
0.336530 + 0.941673i \(0.390747\pi\)
\(444\) 180455. + 77692.2i 0.915383 + 0.394105i
\(445\) 47476.3 + 82231.4i 0.239749 + 0.415258i
\(446\) 245800. 106129.i 1.23570 0.533536i
\(447\) −20173.3 55425.6i −0.100963 0.277393i
\(448\) −200338. + 239766.i −0.998177 + 1.19462i
\(449\) −39010.4 + 67568.0i −0.193503 + 0.335157i −0.946409 0.322971i \(-0.895318\pi\)
0.752906 + 0.658128i \(0.228652\pi\)
\(450\) −15066.3 1755.69i −0.0744013 0.00867009i
\(451\) −280147. 333866.i −1.37731 1.64142i
\(452\) 107085. + 70324.3i 0.524144 + 0.344214i
\(453\) 26496.3 + 150268.i 0.129119 + 0.732269i
\(454\) −258498. 77291.5i −1.25414 0.374990i
\(455\) 217708.i 1.05160i
\(456\) −219770. 28617.5i −1.05691 0.137626i
\(457\) 391885. 1.87640 0.938201 0.346092i \(-0.112491\pi\)
0.938201 + 0.346092i \(0.112491\pi\)
\(458\) −39754.0 + 132956.i −0.189518 + 0.633834i
\(459\) −8400.86 + 1481.30i −0.0398748 + 0.00703100i
\(460\) 150214. 228734.i 0.709895 1.08098i
\(461\) 223178. 187269.i 1.05015 0.881178i 0.0570379 0.998372i \(-0.481834\pi\)
0.993109 + 0.117194i \(0.0373900\pi\)
\(462\) −66206.2 + 568140.i −0.310181 + 2.66178i
\(463\) −251919. 145445.i −1.17516 0.678481i −0.220273 0.975438i \(-0.570695\pi\)
−0.954891 + 0.296957i \(0.904028\pi\)
\(464\) 135017. + 142712.i 0.627123 + 0.662865i
\(465\) −44697.3 + 16268.5i −0.206716 + 0.0752386i
\(466\) 111636. + 258554.i 0.514081 + 1.19064i
\(467\) 303912. 175464.i 1.39352 0.804550i 0.399819 0.916594i \(-0.369073\pi\)
0.993703 + 0.112044i \(0.0357396\pi\)
\(468\) 11871.7 27574.3i 0.0542027 0.125896i
\(469\) 6497.40 36848.6i 0.0295389 0.167523i
\(470\) 4124.19 3893.68i 0.0186699 0.0176264i
\(471\) −180556. + 215179.i −0.813900 + 0.969969i
\(472\) 115906. + 317420.i 0.520260 + 1.42479i
\(473\) 18949.7 + 6897.11i 0.0846992 + 0.0308280i
\(474\) 1453.48 + 24806.9i 0.00646921 + 0.110412i
\(475\) 114790. 47597.4i 0.508763 0.210958i
\(476\) 1811.15 + 15402.7i 0.00799357 + 0.0679802i
\(477\) −39634.2 14425.7i −0.174194 0.0634015i
\(478\) −34195.0 144057.i −0.149660 0.630492i
\(479\) −268757. + 320292.i −1.17136 + 1.39597i −0.270017 + 0.962856i \(0.587029\pi\)
−0.901340 + 0.433113i \(0.857415\pi\)
\(480\) 90206.0 137671.i 0.391519 0.597531i
\(481\) 37861.2 214721.i 0.163645 0.928080i
\(482\) 103825. + 52097.5i 0.446895 + 0.224245i
\(483\) −646808. + 373435.i −2.77256 + 1.60074i
\(484\) −336593. + 169336.i −1.43686 + 0.722867i
\(485\) 21788.7 7930.43i 0.0926291 0.0337142i
\(486\) −35087.6 53307.8i −0.148553 0.225693i
\(487\) −124027. 71606.9i −0.522947 0.301924i 0.215193 0.976572i \(-0.430962\pi\)
−0.738140 + 0.674648i \(0.764295\pi\)
\(488\) 72408.6 75.3803i 0.304054 0.000316532i
\(489\) 148121. 124288.i 0.619439 0.519771i
\(490\) 136731. 183795.i 0.569477 0.765495i
\(491\) 411654. 72585.6i 1.70753 0.301084i 0.767217 0.641388i \(-0.221641\pi\)
0.940315 + 0.340304i \(0.110530\pi\)
\(492\) 78706.3 333118.i 0.325147 1.37616i
\(493\) 9751.59 0.0401219
\(494\) 25173.1 + 244660.i 0.103153 + 1.00256i
\(495\) 36072.8i 0.147221i
\(496\) −8690.48 + 75257.6i −0.0353248 + 0.305905i
\(497\) 49161.0 + 278806.i 0.199025 + 1.12873i
\(498\) 236293. 317627.i 0.952779 1.28073i
\(499\) −127724. 152215.i −0.512944 0.611303i 0.445953 0.895056i \(-0.352865\pi\)
−0.958897 + 0.283753i \(0.908420\pi\)
\(500\) −14928.9 + 259421.i −0.0597156 + 1.03768i
\(501\) 9052.63 15679.6i 0.0360661 0.0624683i
\(502\) −165644. 251659.i −0.657307 0.998632i
\(503\) −21526.7 59144.2i −0.0850828 0.233763i 0.889854 0.456246i \(-0.150806\pi\)
−0.974937 + 0.222483i \(0.928584\pi\)
\(504\) −46547.1 + 26938.6i −0.183245 + 0.106051i
\(505\) 57958.7 + 100387.i 0.227267 + 0.393638i
\(506\) −713129. 357837.i −2.78527 1.39760i
\(507\) −4251.49 749.653i −0.0165396 0.00291638i
\(508\) −338223. 318654.i −1.31062 1.23479i
\(509\) 250005. + 209779.i 0.964968 + 0.809704i 0.981754 0.190155i \(-0.0608991\pi\)
−0.0167865 + 0.999859i \(0.505344\pi\)
\(510\) −1886.84 7948.91i −0.00725428 0.0305610i
\(511\) 111378. 306009.i 0.426539 1.17191i
\(512\) −131780. 226613.i −0.502702 0.864460i
\(513\) 215006. + 111823.i 0.816988 + 0.424911i
\(514\) 26438.4 + 451233.i 0.100071 + 1.70795i
\(515\) 44847.8 123218.i 0.169094 0.464581i
\(516\) 4552.82 + 15169.2i 0.0170994 + 0.0569721i
\(517\) −12668.3 10629.9i −0.0473954 0.0397695i
\(518\) −284010. + 268136.i −1.05846 + 0.999299i
\(519\) 59700.4 + 10526.8i 0.221637 + 0.0390806i
\(520\) −171707. 62293.9i −0.635011 0.230377i
\(521\) −46032.9 79731.3i −0.169587 0.293733i 0.768688 0.639624i \(-0.220910\pi\)
−0.938275 + 0.345891i \(0.887577\pi\)
\(522\) 13404.6 + 31045.6i 0.0491940 + 0.113936i
\(523\) 168889. + 464018.i 0.617443 + 1.69641i 0.713159 + 0.701002i \(0.247264\pi\)
−0.0957159 + 0.995409i \(0.530514\pi\)
\(524\) −92522.3 + 68980.2i −0.336964 + 0.251224i
\(525\) 125940. 218135.i 0.456926 0.791420i
\(526\) −16305.6 + 139924.i −0.0589338 + 0.505733i
\(527\) 2417.11 + 2880.60i 0.00870312 + 0.0103720i
\(528\) −429150. 214782.i −1.53936 0.770424i
\(529\) −132317. 750405.i −0.472828 2.68154i
\(530\) −73514.6 + 245866.i −0.261711 + 0.875281i
\(531\) 58164.8i 0.206287i
\(532\) 225422. 378566.i 0.796478 1.33757i
\(533\) −379860. −1.33712
\(534\) 208319. + 62287.8i 0.730543 + 0.218434i
\(535\) 114944. 20267.8i 0.401587 0.0708106i
\(536\) 27203.5 + 15668.2i 0.0946880 + 0.0545368i
\(537\) −29071.8 + 24394.1i −0.100815 + 0.0845934i
\(538\) 373453. + 43519.1i 1.29024 + 0.150354i
\(539\) −578431. 333957.i −1.99101 1.14951i
\(540\) −144292. + 107577.i −0.494829 + 0.368921i
\(541\) 188048. 68443.9i 0.642502 0.233852i −0.000161620 1.00000i \(-0.500051\pi\)
0.642664 + 0.766148i \(0.277829\pi\)
\(542\) −113691. + 49088.1i −0.387013 + 0.167100i
\(543\) −222004. + 128174.i −0.752941 + 0.434711i
\(544\) −12666.4 2978.79i −0.0428011 0.0100656i
\(545\) 34940.8 198159.i 0.117636 0.667146i
\(546\) 342237. + 362498.i 1.14800 + 1.21596i
\(547\) 67562.5 80517.9i 0.225804 0.269102i −0.641233 0.767346i \(-0.721577\pi\)
0.867037 + 0.498243i \(0.166021\pi\)
\(548\) −98917.1 329573.i −0.329390 1.09747i
\(549\) 11711.8 + 4262.75i 0.0388579 + 0.0141431i
\(550\) 268620. 15738.9i 0.888001 0.0520294i
\(551\) −219852. 168569.i −0.724149 0.555231i
\(552\) −109455. 616993.i −0.359217 2.02489i
\(553\) −46422.4 16896.4i −0.151802 0.0552513i
\(554\) −449846. + 106780.i −1.46570 + 0.347914i
\(555\) 132257. 157618.i 0.429370 0.511704i
\(556\) 156513. + 147457.i 0.506292 + 0.476998i
\(557\) 49299.6 279592.i 0.158903 0.901185i −0.796227 0.604998i \(-0.793174\pi\)
0.955130 0.296187i \(-0.0957151\pi\)
\(558\) −5848.25 + 11654.9i −0.0187827 + 0.0374318i
\(559\) 15221.3 8788.02i 0.0487111 0.0281234i
\(560\) 180187. + 273134.i 0.574575 + 0.870963i
\(561\) −22383.9 + 8147.08i −0.0711230 + 0.0258867i
\(562\) −34478.0 + 22693.7i −0.109162 + 0.0718510i
\(563\) 309065. + 178439.i 0.975065 + 0.562954i 0.900777 0.434283i \(-0.142998\pi\)
0.0742885 + 0.997237i \(0.476331\pi\)
\(564\) 746.180 12966.4i 0.00234577 0.0407627i
\(565\) 102778. 86240.9i 0.321961 0.270157i
\(566\) −174541. 129847.i −0.544835 0.405321i
\(567\) 550791. 97119.4i 1.71325 0.302092i
\(568\) −233962. 41002.7i −0.725185 0.127091i
\(569\) −246248. −0.760585 −0.380292 0.924866i \(-0.624177\pi\)
−0.380292 + 0.924866i \(0.624177\pi\)
\(570\) −94867.9 + 211827.i −0.291991 + 0.651975i
\(571\) 48281.4i 0.148084i 0.997255 + 0.0740418i \(0.0235898\pi\)
−0.997255 + 0.0740418i \(0.976410\pi\)
\(572\) −122460. + 518301.i −0.374284 + 1.58413i
\(573\) 57713.0 + 327307.i 0.175778 + 0.996886i
\(574\) 545973. + 406168.i 1.65710 + 1.23277i
\(575\) 225845. + 269152.i 0.683086 + 0.814070i
\(576\) −7927.84 44420.0i −0.0238952 0.133886i
\(577\) −205221. + 355453.i −0.616411 + 1.06766i 0.373724 + 0.927540i \(0.378081\pi\)
−0.990135 + 0.140115i \(0.955253\pi\)
\(578\) 278520. 183324.i 0.833682 0.548736i
\(579\) −85656.5 235339.i −0.255507 0.702001i
\(580\) 183797. 92465.9i 0.546363 0.274869i
\(581\) 393512. + 681583.i 1.16575 + 2.01914i
\(582\) 23812.9 47456.5i 0.0703018 0.140104i
\(583\) 736859. + 129928.i 2.16794 + 0.382266i
\(584\) 209482. + 175405.i 0.614215 + 0.514299i
\(585\) −24084.6 20209.4i −0.0703765 0.0590529i
\(586\) −367321. + 87191.3i −1.06967 + 0.253909i
\(587\) 50584.4 138979.i 0.146805 0.403343i −0.844394 0.535722i \(-0.820039\pi\)
0.991199 + 0.132379i \(0.0422617\pi\)
\(588\) −61259.5 520972.i −0.177182 1.50682i
\(589\) −4699.53 106727.i −0.0135464 0.307640i
\(590\) 353285. 20699.5i 1.01489 0.0594643i
\(591\) 29917.1 82196.7i 0.0856535 0.235331i
\(592\) −130215. 300723.i −0.371549 0.858071i
\(593\) −88822.1 74530.6i −0.252587 0.211946i 0.507698 0.861535i \(-0.330497\pi\)
−0.760286 + 0.649589i \(0.774941\pi\)
\(594\) 360249. + 381577.i 1.02101 + 1.08146i
\(595\) 15995.1 + 2820.36i 0.0451806 + 0.00796656i
\(596\) −38904.1 + 90362.3i −0.109522 + 0.254387i
\(597\) −255888. 443211.i −0.717962 1.24355i
\(598\) −638438. + 275658.i −1.78532 + 0.770847i
\(599\) −124798. 342880.i −0.347820 0.955628i −0.983055 0.183309i \(-0.941319\pi\)
0.635235 0.772319i \(-0.280903\pi\)
\(600\) 136008. + 161746.i 0.377800 + 0.449294i
\(601\) −54331.8 + 94105.4i −0.150420 + 0.260535i −0.931382 0.364044i \(-0.881396\pi\)
0.780962 + 0.624578i \(0.214729\pi\)
\(602\) −31274.2 3644.43i −0.0862966 0.0100563i
\(603\) 3473.35 + 4139.37i 0.00955242 + 0.0113841i
\(604\) 139708. 212737.i 0.382954 0.583134i
\(605\) 68521.0 + 388602.i 0.187203 + 1.06168i
\(606\) 254314. + 76040.4i 0.692508 + 0.207061i
\(607\) 701001.i 1.90257i 0.308307 + 0.951287i \(0.400238\pi\)
−0.308307 + 0.951287i \(0.599762\pi\)
\(608\) 234075. + 286112.i 0.633210 + 0.773980i
\(609\) −561541. −1.51407
\(610\) 21723.4 72652.9i 0.0583805 0.195251i
\(611\) −14194.5 + 2502.87i −0.0380222 + 0.00670435i
\(612\) −1872.09 1229.44i −0.00499833 0.00328249i
\(613\) 140170. 117617.i 0.373022 0.313002i −0.436934 0.899494i \(-0.643936\pi\)
0.809956 + 0.586491i \(0.199491\pi\)
\(614\) 62929.8 540024.i 0.166924 1.43244i
\(615\) −310442. 179234.i −0.820788 0.473882i
\(616\) 730208. 614014.i 1.92435 1.61814i
\(617\) 551266. 200644.i 1.44807 0.527056i 0.506021 0.862521i \(-0.331116\pi\)
0.942052 + 0.335466i \(0.108894\pi\)
\(618\) −119025. 275667.i −0.311645 0.721786i
\(619\) 299774. 173074.i 0.782370 0.451701i −0.0548998 0.998492i \(-0.517484\pi\)
0.837269 + 0.546791i \(0.184151\pi\)
\(620\) 72871.5 + 31373.7i 0.189572 + 0.0816174i
\(621\) −118986. + 674805.i −0.308542 + 1.74983i
\(622\) −25645.5 + 24212.1i −0.0662872 + 0.0625823i
\(623\) −277852. + 331132.i −0.715877 + 0.853149i
\(624\) −383829. + 166200.i −0.985754 + 0.426837i
\(625\) 53552.0 + 19491.3i 0.137093 + 0.0498978i
\(626\) −12785.3 218210.i −0.0326259 0.556835i
\(627\) 645484. + 203257.i 1.64191 + 0.517023i
\(628\) 465320. 54715.5i 1.17987 0.138737i
\(629\) −15285.2 5563.34i −0.0386339 0.0140616i
\(630\) 13007.8 + 54799.6i 0.0327736 + 0.138069i
\(631\) −422804. + 503878.i −1.06189 + 1.26551i −0.0991561 + 0.995072i \(0.531614\pi\)
−0.962736 + 0.270442i \(0.912830\pi\)
\(632\) 26609.3 31778.8i 0.0666192 0.0795617i
\(633\) −100718. + 571199.i −0.251361 + 1.42554i
\(634\) 519495. + 260674.i 1.29242 + 0.648514i
\(635\) −421453. + 243326.i −1.04521 + 0.603450i
\(636\) 264095. + 524948.i 0.652899 + 1.29778i
\(637\) −547031. + 199103.i −1.34813 + 0.490681i
\(638\) −329817. 501084.i −0.810274 1.23103i
\(639\) −35407.3 20442.4i −0.0867144 0.0500646i
\(640\) −266979. + 63960.6i −0.651805 + 0.156154i
\(641\) −71956.7 + 60378.8i −0.175128 + 0.146950i −0.726138 0.687549i \(-0.758687\pi\)
0.551011 + 0.834498i \(0.314242\pi\)
\(642\) 159528. 214439.i 0.387051 0.520276i
\(643\) −652434. + 115042.i −1.57803 + 0.278249i −0.892928 0.450200i \(-0.851353\pi\)
−0.685101 + 0.728449i \(0.740242\pi\)
\(644\) 1.21238e6 + 286450.i 2.92325 + 0.690680i
\(645\) 16586.2 0.0398684
\(646\) 18301.3 + 1320.04i 0.0438548 + 0.00316317i
\(647\) 218119.i 0.521057i 0.965466 + 0.260529i \(0.0838969\pi\)
−0.965466 + 0.260529i \(0.916103\pi\)
\(648\) −81002.4 + 462200.i −0.192907 + 1.10073i
\(649\) −179176. 1.01616e6i −0.425393 2.41252i
\(650\) 139983. 188166.i 0.331321 0.445364i
\(651\) −139188. 165878.i −0.328428 0.391405i
\(652\) −321983. 18529.1i −0.757421 0.0435873i
\(653\) −355593. + 615904.i −0.833924 + 1.44440i 0.0609799 + 0.998139i \(0.480577\pi\)
−0.894904 + 0.446259i \(0.852756\pi\)
\(654\) −253327. 384874.i −0.592279 0.899836i
\(655\) 41336.9 + 113572.i 0.0963509 + 0.264722i
\(656\) −476568. + 314392.i −1.10743 + 0.730574i
\(657\) 23514.2 + 40727.8i 0.0544753 + 0.0943540i
\(658\) 23078.0 + 11580.2i 0.0533023 + 0.0267463i
\(659\) −154322. 27211.2i −0.355351 0.0626580i −0.00687683 0.999976i \(-0.502189\pi\)
−0.348474 + 0.937318i \(0.613300\pi\)
\(660\) −344637. + 365802.i −0.791178 + 0.839766i
\(661\) 220169. + 184744.i 0.503911 + 0.422831i 0.858980 0.512009i \(-0.171098\pi\)
−0.355070 + 0.934840i \(0.615543\pi\)
\(662\) −127549. 537340.i −0.291045 1.22612i
\(663\) −7100.80 + 19509.3i −0.0161540 + 0.0443828i
\(664\) −650165. + 115340.i −1.47464 + 0.261603i
\(665\) −311860. 340081.i −0.705206 0.769023i
\(666\) −3299.29 56310.0i −0.00743827 0.126951i
\(667\) 267906. 736065.i 0.602185 1.65449i
\(668\) −28924.3 + 8681.25i −0.0648202 + 0.0194549i
\(669\) −491844. 412706.i −1.09894 0.922122i
\(670\) 23905.9 22569.7i 0.0532544 0.0502779i
\(671\) −217740. 38393.5i −0.483608 0.0852731i
\(672\) 729388. + 171532.i 1.61518 + 0.379845i
\(673\) 319614. + 553588.i 0.705661 + 1.22224i 0.966452 + 0.256846i \(0.0826832\pi\)
−0.260791 + 0.965395i \(0.583984\pi\)
\(674\) −231186. 535438.i −0.508911 1.17866i
\(675\) −79036.7 217151.i −0.173469 0.476601i
\(676\) 4304.00 + 5772.91i 0.00941844 + 0.0126328i
\(677\) −9785.69 + 16949.3i −0.0213508 + 0.0369807i −0.876503 0.481396i \(-0.840130\pi\)
0.855153 + 0.518376i \(0.173463\pi\)
\(678\) 35561.1 305163.i 0.0773599 0.663854i
\(679\) 67850.4 + 80860.9i 0.147168 + 0.175388i
\(680\) −6801.18 + 11808.4i −0.0147084 + 0.0255371i
\(681\) 112355. + 637199.i 0.242270 + 1.37398i
\(682\) 66267.9 221630.i 0.142474 0.476497i
\(683\) 533819.i 1.14433i −0.820137 0.572167i \(-0.806103\pi\)
0.820137 0.572167i \(-0.193897\pi\)
\(684\) 20954.5 + 60079.5i 0.0447884 + 0.128415i
\(685\) −360361. −0.767993
\(686\) 297242. + 88876.1i 0.631629 + 0.188859i
\(687\) 327736. 57788.7i 0.694402 0.122442i
\(688\) 11823.0 23623.3i 0.0249777 0.0499073i
\(689\) 499565. 419185.i 1.05233 0.883014i
\(690\) −651833. 75959.1i −1.36911 0.159544i
\(691\) −208386. 120312.i −0.436428 0.251972i 0.265653 0.964069i \(-0.414412\pi\)
−0.702081 + 0.712097i \(0.747746\pi\)
\(692\) −60437.7 81064.4i −0.126211 0.169285i
\(693\) 154314. 56165.8i 0.321321 0.116951i
\(694\) 496043. 214176.i 1.02991 0.444684i
\(695\) 195028. 112599.i 0.403763 0.233113i
\(696\) 160677. 442889.i 0.331691 0.914275i
\(697\) −4921.01 + 27908.4i −0.0101295 + 0.0574473i
\(698\) −98503.2 104335.i −0.202181 0.214150i
\(699\) 434122. 517366.i 0.888499 1.05887i
\(700\) −402396. + 120774.i −0.821216 + 0.246477i
\(701\) −649485. 236393.i −1.32170 0.481060i −0.417698 0.908586i \(-0.637163\pi\)
−0.904003 + 0.427526i \(0.859385\pi\)
\(702\) 456591. 26752.4i 0.926517 0.0542861i
\(703\) 248439. + 389651.i 0.502700 + 0.788434i
\(704\) 275337. + 751609.i 0.555545 + 1.51651i
\(705\) −12781.5 4652.08i −0.0257160 0.00935985i
\(706\) −87227.6 + 20705.3i −0.175003 + 0.0415405i
\(707\) −339200. + 404243.i −0.678605 + 0.808730i
\(708\) 555702. 589829.i 1.10860 1.17668i
\(709\) 1653.83 9379.36i 0.00329003 0.0186587i −0.983119 0.182970i \(-0.941429\pi\)
0.986409 + 0.164311i \(0.0525401\pi\)
\(710\) −111564. + 222334.i −0.221313 + 0.441051i
\(711\) 6178.50 3567.16i 0.0122221 0.00705641i
\(712\) −181661. 313892.i −0.358346 0.619184i
\(713\) 283837. 103308.i 0.558329 0.203215i
\(714\) 31066.4 20448.1i 0.0609389 0.0401104i
\(715\) 483020. + 278872.i 0.944829 + 0.545497i
\(716\) 63195.8 + 3636.73i 0.123271 + 0.00709389i
\(717\) −271997. + 228232.i −0.529085 + 0.443955i
\(718\) 199396. + 148338.i 0.386784 + 0.287741i
\(719\) −228300. + 40255.5i −0.441620 + 0.0778695i −0.390037 0.920799i \(-0.627538\pi\)
−0.0515830 + 0.998669i \(0.516427\pi\)
\(720\) −46942.6 5420.77i −0.0905529 0.0104567i
\(721\) 596938. 1.14831
\(722\) −389790. 346123.i −0.747749 0.663981i
\(723\) 278572.i 0.532918i
\(724\) 416124. + 98318.2i 0.793863 + 0.187567i
\(725\) 45872.3 + 260155.i 0.0872719 + 0.494944i
\(726\) 724974. + 539332.i 1.37546 + 1.02325i
\(727\) −531273. 633146.i −1.00519 1.19794i −0.980151 0.198254i \(-0.936473\pi\)
−0.0250408 0.999686i \(-0.507972\pi\)
\(728\) −865.655 831529.i −0.00163336 1.56897i
\(729\) 220421. 381780.i 0.414761 0.718387i
\(730\) 239007. 157316.i 0.448502 0.295208i
\(731\) −448.470 1232.16i −0.000839263 0.00230586i
\(732\) −78039.5 155121.i −0.145644 0.289500i
\(733\) −302760. 524395.i −0.563495 0.976002i −0.997188 0.0749412i \(-0.976123\pi\)
0.433693 0.901061i \(-0.357210\pi\)
\(734\) −212902. + 424289.i −0.395173 + 0.787535i
\(735\) −541009. 95394.5i −1.00145 0.176583i
\(736\) −572827. + 874242.i −1.05747 + 1.61390i
\(737\) −73431.7 61616.5i −0.135191 0.113439i
\(738\) −95615.1 + 22696.3i −0.175555 + 0.0416717i
\(739\) −269817. + 741316.i −0.494061 + 1.35742i 0.402873 + 0.915256i \(0.368012\pi\)
−0.896934 + 0.442165i \(0.854211\pi\)
\(740\) −340845. + 40078.9i −0.622434 + 0.0731900i
\(741\) 497333. 317096.i 0.905755 0.577503i
\(742\) −1.16624e6 + 68331.9i −2.11827 + 0.124113i
\(743\) −12368.3 + 33981.7i −0.0224044 + 0.0615555i −0.950391 0.311059i \(-0.899316\pi\)
0.927986 + 0.372614i \(0.121539\pi\)
\(744\) 170655. 62314.7i 0.308300 0.112576i
\(745\) 78926.5 + 66227.2i 0.142204 + 0.119323i
\(746\) −102480. 108547.i −0.184146 0.195047i
\(747\) −111931. 19736.5i −0.200590 0.0353695i
\(748\) 36493.3 + 15711.6i 0.0652244 + 0.0280814i
\(749\) 265672. + 460157.i 0.473567 + 0.820242i
\(750\) 572103. 247017.i 1.01707 0.439141i
\(751\) −243292. 668438.i −0.431367 1.18517i −0.944974 0.327146i \(-0.893913\pi\)
0.513607 0.858026i \(-0.328309\pi\)
\(752\) −15736.8 + 14888.2i −0.0278278 + 0.0263273i
\(753\) −361255. + 625712.i −0.637124 + 1.10353i
\(754\) −519333. 60518.7i −0.913489 0.106450i
\(755\) −171328. 204181.i −0.300562 0.358196i
\(756\) −684864. 449762.i −1.19829 0.786935i
\(757\) −166071. 941833.i −0.289802 1.64355i −0.687612 0.726079i \(-0.741341\pi\)
0.397810 0.917468i \(-0.369770\pi\)
\(758\) −386989. 115710.i −0.673534 0.201388i
\(759\) 1.91340e6i 3.32140i
\(760\) 357457. 148656.i 0.618867 0.257368i
\(761\) −987739. −1.70558 −0.852791 0.522252i \(-0.825092\pi\)
−0.852791 + 0.522252i \(0.825092\pi\)
\(762\) −319238. + 1.06768e6i −0.549799 + 1.83878i
\(763\) 902097. 159064.i 1.54955 0.273227i
\(764\) 304304. 463372.i 0.521340 0.793858i
\(765\) −1796.80 + 1507.69i −0.00307027 + 0.00257627i
\(766\) −27.3913 + 235.055i −4.66826e−5 + 0.000400601i
\(767\) −778834. 449660.i −1.32390 0.764352i
\(768\) −343992. + 526190.i −0.583211 + 0.892113i
\(769\) 599254. 218111.i 1.01335 0.368828i 0.218630 0.975808i \(-0.429841\pi\)
0.794717 + 0.606980i \(0.207619\pi\)
\(770\) −396060. 917294.i −0.668004 1.54713i