Properties

Label 76.5.l.a.23.12
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 23.12
Character \(\chi\) \(=\) 76.23
Dual form 76.5.l.a.43.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.61226 - 3.02920i) q^{2} +(13.6721 - 2.41076i) q^{3} +(-2.35216 + 15.8262i) q^{4} +(3.65652 - 3.06818i) q^{5} +(-43.0179 - 35.1181i) q^{6} +(-76.9302 - 44.4157i) q^{7} +(54.0851 - 34.2169i) q^{8} +(105.000 - 38.2168i) q^{9} +O(q^{10})\) \(q+(-2.61226 - 3.02920i) q^{2} +(13.6721 - 2.41076i) q^{3} +(-2.35216 + 15.8262i) q^{4} +(3.65652 - 3.06818i) q^{5} +(-43.0179 - 35.1181i) q^{6} +(-76.9302 - 44.4157i) q^{7} +(54.0851 - 34.2169i) q^{8} +(105.000 - 38.2168i) q^{9} +(-18.8459 - 3.06144i) q^{10} +(136.857 - 79.0144i) q^{11} +(5.99414 + 222.048i) q^{12} +(33.9535 - 192.560i) q^{13} +(66.4178 + 349.063i) q^{14} +(42.5956 - 50.7635i) q^{15} +(-244.935 - 74.4513i) q^{16} +(-66.6579 - 24.2615i) q^{17} +(-390.054 - 218.233i) q^{18} +(290.672 - 214.081i) q^{19} +(39.9568 + 65.0855i) q^{20} +(-1158.87 - 421.796i) q^{21} +(-596.857 - 208.161i) q^{22} +(110.879 - 132.140i) q^{23} +(656.969 - 598.204i) q^{24} +(-104.574 + 593.067i) q^{25} +(-671.999 + 400.165i) q^{26} +(369.570 - 213.371i) q^{27} +(883.881 - 1113.04i) q^{28} +(-687.056 + 250.068i) q^{29} +(-265.044 + 3.57676i) q^{30} +(701.660 + 405.104i) q^{31} +(414.306 + 936.444i) q^{32} +(1680.64 - 1410.22i) q^{33} +(100.635 + 265.298i) q^{34} +(-417.572 + 73.6292i) q^{35} +(357.849 + 1751.64i) q^{36} -665.757 q^{37} +(-1407.81 - 321.270i) q^{38} -2714.56i q^{39} +(92.7794 - 291.058i) q^{40} +(26.5664 + 150.666i) q^{41} +(1749.58 + 4612.31i) q^{42} +(1917.80 + 2285.55i) q^{43} +(928.585 + 2351.77i) q^{44} +(266.677 - 461.899i) q^{45} +(-689.923 + 9.31048i) q^{46} +(617.989 + 1697.91i) q^{47} +(-3528.26 - 427.427i) q^{48} +(2745.00 + 4754.48i) q^{49} +(2069.70 - 1232.47i) q^{50} +(-969.843 - 171.009i) q^{51} +(2967.62 + 990.286i) q^{52} +(-1930.46 - 1619.85i) q^{53} +(-1611.76 - 562.121i) q^{54} +(257.989 - 708.819i) q^{55} +(-5680.55 + 230.088i) q^{56} +(3458.01 - 3627.68i) q^{57} +(2552.28 + 1427.99i) q^{58} +(1285.07 - 3530.69i) q^{59} +(703.200 + 793.529i) q^{60} +(996.613 + 836.257i) q^{61} +(-605.780 - 3183.71i) q^{62} +(-9775.08 - 1723.61i) q^{63} +(1754.40 - 3701.25i) q^{64} +(-466.657 - 808.274i) q^{65} +(-8662.12 - 1407.12i) q^{66} +(-1854.32 - 5094.70i) q^{67} +(540.756 - 997.872i) q^{68} +(1197.39 - 2073.93i) q^{69} +(1313.85 + 1072.57i) q^{70} +(4946.19 + 5894.64i) q^{71} +(4371.27 - 5659.73i) q^{72} +(-224.644 - 1274.02i) q^{73} +(1739.13 + 2016.71i) q^{74} +8360.58i q^{75} +(2704.37 + 5103.78i) q^{76} -14037.9 q^{77} +(-8222.94 + 7091.14i) q^{78} +(11451.9 - 2019.27i) q^{79} +(-1124.04 + 479.272i) q^{80} +(-2394.91 + 2009.57i) q^{81} +(386.999 - 474.054i) q^{82} +(-1288.51 - 743.921i) q^{83} +(9401.26 - 17348.4i) q^{84} +(-318.174 + 115.806i) q^{85} +(1913.59 - 11779.9i) q^{86} +(-8790.65 + 5075.29i) q^{87} +(4698.29 - 8956.32i) q^{88} +(-2655.39 + 15059.5i) q^{89} +(-2095.82 + 398.781i) q^{90} +(-11164.7 + 13305.6i) q^{91} +(1830.46 + 2065.60i) q^{92} +(10569.8 + 3847.09i) q^{93} +(3528.97 - 6307.41i) q^{94} +(406.009 - 1674.63i) q^{95} +(7921.98 + 11804.4i) q^{96} +(2330.55 + 848.252i) q^{97} +(7231.63 - 20735.1i) q^{98} +(11350.3 - 13526.7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.61226 3.02920i −0.653066 0.757301i
\(3\) 13.6721 2.41076i 1.51912 0.267862i 0.649035 0.760758i \(-0.275173\pi\)
0.870088 + 0.492896i \(0.164062\pi\)
\(4\) −2.35216 + 15.8262i −0.147010 + 0.989135i
\(5\) 3.65652 3.06818i 0.146261 0.122727i −0.566722 0.823909i \(-0.691788\pi\)
0.712982 + 0.701182i \(0.247344\pi\)
\(6\) −43.0179 35.1181i −1.19494 0.975502i
\(7\) −76.9302 44.4157i −1.57000 0.906442i −0.996167 0.0874725i \(-0.972121\pi\)
−0.573837 0.818970i \(-0.694546\pi\)
\(8\) 54.0851 34.2169i 0.845080 0.534640i
\(9\) 105.000 38.2168i 1.29629 0.471812i
\(10\) −18.8459 3.06144i −0.188459 0.0306144i
\(11\) 136.857 79.0144i 1.13105 0.653011i 0.186850 0.982388i \(-0.440172\pi\)
0.944198 + 0.329377i \(0.106839\pi\)
\(12\) 5.99414 + 222.048i 0.0416259 + 1.54200i
\(13\) 33.9535 192.560i 0.200908 1.13941i −0.702841 0.711347i \(-0.748086\pi\)
0.903750 0.428061i \(-0.140803\pi\)
\(14\) 66.4178 + 349.063i 0.338866 + 1.78093i
\(15\) 42.5956 50.7635i 0.189314 0.225616i
\(16\) −244.935 74.4513i −0.956776 0.290825i
\(17\) −66.6579 24.2615i −0.230650 0.0839498i 0.224110 0.974564i \(-0.428053\pi\)
−0.454760 + 0.890614i \(0.650275\pi\)
\(18\) −390.054 218.233i −1.20387 0.673560i
\(19\) 290.672 214.081i 0.805186 0.593022i
\(20\) 39.9568 + 65.0855i 0.0998921 + 0.162714i
\(21\) −1158.87 421.796i −2.62783 0.956453i
\(22\) −596.857 208.161i −1.23318 0.430085i
\(23\) 110.879 132.140i 0.209600 0.249792i −0.650994 0.759083i \(-0.725648\pi\)
0.860595 + 0.509291i \(0.170092\pi\)
\(24\) 656.969 598.204i 1.14057 1.03855i
\(25\) −104.574 + 593.067i −0.167318 + 0.948907i
\(26\) −671.999 + 400.165i −0.994082 + 0.591960i
\(27\) 369.570 213.371i 0.506955 0.292690i
\(28\) 883.881 1113.04i 1.12740 1.41969i
\(29\) −687.056 + 250.068i −0.816951 + 0.297346i −0.716492 0.697595i \(-0.754253\pi\)
−0.100459 + 0.994941i \(0.532031\pi\)
\(30\) −265.044 + 3.57676i −0.294493 + 0.00397418i
\(31\) 701.660 + 405.104i 0.730136 + 0.421544i 0.818472 0.574547i \(-0.194822\pi\)
−0.0883362 + 0.996091i \(0.528155\pi\)
\(32\) 414.306 + 936.444i 0.404596 + 0.914496i
\(33\) 1680.64 1410.22i 1.54329 1.29497i
\(34\) 100.635 + 265.298i 0.0870545 + 0.229496i
\(35\) −417.572 + 73.6292i −0.340875 + 0.0601054i
\(36\) 357.849 + 1751.64i 0.276118 + 1.35157i
\(37\) −665.757 −0.486309 −0.243155 0.969988i \(-0.578182\pi\)
−0.243155 + 0.969988i \(0.578182\pi\)
\(38\) −1407.81 321.270i −0.974936 0.222486i
\(39\) 2714.56i 1.78472i
\(40\) 92.7794 291.058i 0.0579871 0.181911i
\(41\) 26.5664 + 150.666i 0.0158039 + 0.0896286i 0.991690 0.128654i \(-0.0410657\pi\)
−0.975886 + 0.218283i \(0.929955\pi\)
\(42\) 1749.58 + 4612.31i 0.991825 + 2.61469i
\(43\) 1917.80 + 2285.55i 1.03721 + 1.23610i 0.971196 + 0.238282i \(0.0765843\pi\)
0.0660157 + 0.997819i \(0.478971\pi\)
\(44\) 928.585 + 2351.77i 0.479641 + 1.21476i
\(45\) 266.677 461.899i 0.131693 0.228098i
\(46\) −689.923 + 9.31048i −0.326051 + 0.00440004i
\(47\) 617.989 + 1697.91i 0.279760 + 0.768633i 0.997390 + 0.0722086i \(0.0230047\pi\)
−0.717630 + 0.696425i \(0.754773\pi\)
\(48\) −3528.26 427.427i −1.53136 0.185515i
\(49\) 2745.00 + 4754.48i 1.14327 + 1.98021i
\(50\) 2069.70 1232.47i 0.827878 0.492989i
\(51\) −969.843 171.009i −0.372873 0.0657476i
\(52\) 2967.62 + 990.286i 1.09749 + 0.366230i
\(53\) −1930.46 1619.85i −0.687243 0.576665i 0.230870 0.972985i \(-0.425843\pi\)
−0.918113 + 0.396320i \(0.870287\pi\)
\(54\) −1611.76 562.121i −0.552730 0.192771i
\(55\) 257.989 708.819i 0.0852856 0.234320i
\(56\) −5680.55 + 230.088i −1.81140 + 0.0733699i
\(57\) 3458.01 3627.68i 1.06433 1.11655i
\(58\) 2552.28 + 1427.99i 0.758704 + 0.424492i
\(59\) 1285.07 3530.69i 0.369166 1.01428i −0.606513 0.795073i \(-0.707432\pi\)
0.975679 0.219202i \(-0.0703455\pi\)
\(60\) 703.200 + 793.529i 0.195333 + 0.220425i
\(61\) 996.613 + 836.257i 0.267835 + 0.224740i 0.766807 0.641878i \(-0.221845\pi\)
−0.498972 + 0.866618i \(0.666289\pi\)
\(62\) −605.780 3183.71i −0.157591 0.828229i
\(63\) −9775.08 1723.61i −2.46286 0.434268i
\(64\) 1754.40 3701.25i 0.428321 0.903627i
\(65\) −466.657 808.274i −0.110451 0.191308i
\(66\) −8662.12 1407.12i −1.98855 0.323031i
\(67\) −1854.32 5094.70i −0.413081 1.13493i −0.955543 0.294850i \(-0.904730\pi\)
0.542463 0.840080i \(-0.317492\pi\)
\(68\) 540.756 997.872i 0.116946 0.215803i
\(69\) 1197.39 2073.93i 0.251499 0.435609i
\(70\) 1313.85 + 1072.57i 0.268132 + 0.218892i
\(71\) 4946.19 + 5894.64i 0.981193 + 1.16934i 0.985556 + 0.169350i \(0.0541667\pi\)
−0.00436316 + 0.999990i \(0.501389\pi\)
\(72\) 4371.27 5659.73i 0.843223 1.09177i
\(73\) −224.644 1274.02i −0.0421549 0.239072i 0.956449 0.291900i \(-0.0942876\pi\)
−0.998604 + 0.0528280i \(0.983176\pi\)
\(74\) 1739.13 + 2016.71i 0.317592 + 0.368282i
\(75\) 8360.58i 1.48633i
\(76\) 2704.37 + 5103.78i 0.468208 + 0.883618i
\(77\) −14037.9 −2.36767
\(78\) −8222.94 + 7091.14i −1.35157 + 1.16554i
\(79\) 11451.9 2019.27i 1.83494 0.323550i 0.854363 0.519676i \(-0.173948\pi\)
0.980579 + 0.196127i \(0.0628364\pi\)
\(80\) −1124.04 + 479.272i −0.175631 + 0.0748862i
\(81\) −2394.91 + 2009.57i −0.365022 + 0.306290i
\(82\) 386.999 474.054i 0.0575548 0.0705017i
\(83\) −1288.51 743.921i −0.187039 0.107987i 0.403557 0.914955i \(-0.367774\pi\)
−0.590596 + 0.806968i \(0.701107\pi\)
\(84\) 9401.26 17348.4i 1.33238 2.45867i
\(85\) −318.174 + 115.806i −0.0440380 + 0.0160285i
\(86\) 1913.59 11779.9i 0.258733 1.59274i
\(87\) −8790.65 + 5075.29i −1.16140 + 0.670536i
\(88\) 4698.29 8956.32i 0.606701 1.15655i
\(89\) −2655.39 + 15059.5i −0.335234 + 1.90121i 0.0896736 + 0.995971i \(0.471418\pi\)
−0.424908 + 0.905237i \(0.639693\pi\)
\(90\) −2095.82 + 398.781i −0.258743 + 0.0492322i
\(91\) −11164.7 + 13305.6i −1.34823 + 1.60676i
\(92\) 1830.46 + 2065.60i 0.216265 + 0.244045i
\(93\) 10569.8 + 3847.09i 1.22208 + 0.444802i
\(94\) 3528.97 6307.41i 0.399385 0.713830i
\(95\) 406.009 1674.63i 0.0449871 0.185554i
\(96\) 7921.98 + 11804.4i 0.859590 + 1.28086i
\(97\) 2330.55 + 848.252i 0.247694 + 0.0901533i 0.462884 0.886419i \(-0.346815\pi\)
−0.215190 + 0.976572i \(0.569037\pi\)
\(98\) 7231.63 20735.1i 0.752981 2.15901i
\(99\) 11350.3 13526.7i 1.15807 1.38014i
\(100\) −9140.00 3049.99i −0.914000 0.304999i
\(101\) 205.251 1164.03i 0.0201206 0.114110i −0.973093 0.230411i \(-0.925993\pi\)
0.993214 + 0.116302i \(0.0371039\pi\)
\(102\) 2015.46 + 3384.57i 0.193720 + 0.325315i
\(103\) −5598.17 + 3232.10i −0.527681 + 0.304657i −0.740072 0.672528i \(-0.765208\pi\)
0.212391 + 0.977185i \(0.431875\pi\)
\(104\) −4752.43 11576.4i −0.439389 1.07030i
\(105\) −5531.59 + 2013.33i −0.501731 + 0.182615i
\(106\) 136.019 + 10079.3i 0.0121056 + 0.897050i
\(107\) −7027.39 4057.27i −0.613800 0.354377i 0.160651 0.987011i \(-0.448640\pi\)
−0.774451 + 0.632634i \(0.781974\pi\)
\(108\) 2507.56 + 6350.76i 0.214983 + 0.544475i
\(109\) 10097.2 8472.52i 0.849857 0.713115i −0.109901 0.993943i \(-0.535053\pi\)
0.959758 + 0.280828i \(0.0906089\pi\)
\(110\) −2821.09 + 1070.12i −0.233148 + 0.0884397i
\(111\) −9102.31 + 1604.98i −0.738764 + 0.130264i
\(112\) 15536.1 + 16606.5i 1.23853 + 1.32386i
\(113\) 11087.0 0.868276 0.434138 0.900846i \(-0.357053\pi\)
0.434138 + 0.900846i \(0.357053\pi\)
\(114\) −20022.2 998.547i −1.54064 0.0768350i
\(115\) 823.368i 0.0622584i
\(116\) −2341.55 11461.7i −0.174015 0.851788i
\(117\) −3793.91 21516.4i −0.277151 1.57180i
\(118\) −14052.1 + 5330.37i −1.00920 + 0.382819i
\(119\) 4050.41 + 4827.09i 0.286026 + 0.340872i
\(120\) 566.819 4203.04i 0.0393625 0.291878i
\(121\) 5166.04 8947.84i 0.352847 0.611150i
\(122\) −70.2206 5203.47i −0.00471786 0.349601i
\(123\) 726.438 + 1995.87i 0.0480163 + 0.131924i
\(124\) −8061.65 + 10151.7i −0.524301 + 0.660232i
\(125\) 2928.90 + 5073.00i 0.187450 + 0.324672i
\(126\) 20313.9 + 34113.2i 1.27954 + 2.14873i
\(127\) −16745.0 2952.59i −1.03819 0.183061i −0.371528 0.928422i \(-0.621166\pi\)
−0.666661 + 0.745361i \(0.732277\pi\)
\(128\) −15794.8 + 4354.21i −0.964039 + 0.265760i
\(129\) 31730.4 + 26624.9i 1.90676 + 1.59996i
\(130\) −1229.40 + 3525.03i −0.0727453 + 0.208581i
\(131\) 1245.94 3423.20i 0.0726031 0.199475i −0.898083 0.439826i \(-0.855040\pi\)
0.970686 + 0.240351i \(0.0772624\pi\)
\(132\) 18365.3 + 29915.1i 1.05402 + 1.71689i
\(133\) −31870.0 + 3558.89i −1.80169 + 0.201192i
\(134\) −10588.9 + 18925.8i −0.589715 + 1.05401i
\(135\) 696.677 1914.10i 0.0382264 0.105026i
\(136\) −4435.35 + 968.643i −0.239801 + 0.0523704i
\(137\) −14078.9 11813.6i −0.750112 0.629419i 0.185420 0.982659i \(-0.440635\pi\)
−0.935533 + 0.353240i \(0.885080\pi\)
\(138\) −9410.26 + 1790.53i −0.494133 + 0.0940209i
\(139\) 22929.7 + 4043.13i 1.18678 + 0.209261i 0.731975 0.681332i \(-0.238599\pi\)
0.454802 + 0.890592i \(0.349710\pi\)
\(140\) −183.072 6781.75i −0.00934041 0.346007i
\(141\) 12542.5 + 21724.2i 0.630878 + 1.09271i
\(142\) 4935.32 30381.4i 0.244759 1.50671i
\(143\) −10568.2 29036.0i −0.516809 1.41992i
\(144\) −28563.4 + 1543.25i −1.37748 + 0.0744238i
\(145\) −1744.98 + 3022.39i −0.0829954 + 0.143752i
\(146\) −3272.43 + 4008.56i −0.153520 + 0.188054i
\(147\) 48991.9 + 58386.3i 2.26720 + 2.70194i
\(148\) 1565.97 10536.4i 0.0714923 0.481025i
\(149\) −2225.05 12618.9i −0.100223 0.568394i −0.993021 0.117937i \(-0.962372\pi\)
0.892798 0.450457i \(-0.148739\pi\)
\(150\) 25325.9 21840.0i 1.12560 0.970669i
\(151\) 14282.1i 0.626381i −0.949690 0.313191i \(-0.898602\pi\)
0.949690 0.313191i \(-0.101398\pi\)
\(152\) 8395.85 21524.5i 0.363394 0.931636i
\(153\) −7926.26 −0.338599
\(154\) 36670.7 + 42523.7i 1.54624 + 1.79304i
\(155\) 3808.56 671.553i 0.158525 0.0279522i
\(156\) 42961.0 + 6385.07i 1.76533 + 0.262371i
\(157\) 10750.3 9020.58i 0.436136 0.365961i −0.398125 0.917331i \(-0.630339\pi\)
0.834261 + 0.551370i \(0.185895\pi\)
\(158\) −36032.1 29415.2i −1.44336 1.17830i
\(159\) −30298.6 17492.9i −1.19847 0.691939i
\(160\) 4388.09 + 2152.96i 0.171410 + 0.0840998i
\(161\) −14399.0 + 5240.81i −0.555495 + 0.202184i
\(162\) 12343.5 + 2005.15i 0.470337 + 0.0764042i
\(163\) 13451.4 7766.17i 0.506282 0.292302i −0.225022 0.974354i \(-0.572245\pi\)
0.731304 + 0.682052i \(0.238912\pi\)
\(164\) −2446.95 + 66.0549i −0.0909781 + 0.00245594i
\(165\) 1818.46 10313.0i 0.0667938 0.378806i
\(166\) 1112.44 + 5846.48i 0.0403700 + 0.212167i
\(167\) −1.63239 + 1.94541i −5.85317e−5 + 6.97554e-5i −0.766074 0.642753i \(-0.777792\pi\)
0.766015 + 0.642822i \(0.222237\pi\)
\(168\) −77110.4 + 16840.2i −2.73209 + 0.596664i
\(169\) −9087.95 3307.74i −0.318194 0.115813i
\(170\) 1181.95 + 661.299i 0.0408981 + 0.0228823i
\(171\) 22339.0 33587.0i 0.763963 1.14863i
\(172\) −40682.5 + 24975.5i −1.37515 + 0.844223i
\(173\) −21912.7 7975.57i −0.732156 0.266483i −0.0510787 0.998695i \(-0.516266\pi\)
−0.681077 + 0.732212i \(0.738488\pi\)
\(174\) 38337.6 + 13370.7i 1.26627 + 0.441627i
\(175\) 34386.3 40980.1i 1.12282 1.33812i
\(176\) −39403.7 + 9164.19i −1.27207 + 0.295848i
\(177\) 9057.92 51370.0i 0.289123 1.63970i
\(178\) 52554.8 31295.6i 1.65872 0.987741i
\(179\) −36616.3 + 21140.4i −1.14280 + 0.659793i −0.947121 0.320876i \(-0.896023\pi\)
−0.195674 + 0.980669i \(0.562690\pi\)
\(180\) 6682.82 + 5306.94i 0.206260 + 0.163794i
\(181\) −12999.6 + 4731.48i −0.396802 + 0.144424i −0.532711 0.846297i \(-0.678827\pi\)
0.135909 + 0.990721i \(0.456605\pi\)
\(182\) 69470.6 937.503i 2.09729 0.0283028i
\(183\) 15641.8 + 9030.81i 0.467073 + 0.269665i
\(184\) 1475.46 10940.7i 0.0435804 0.323155i
\(185\) −2434.35 + 2042.66i −0.0711279 + 0.0596834i
\(186\) −15957.5 42067.7i −0.461251 1.21597i
\(187\) −11039.6 + 1946.58i −0.315697 + 0.0556658i
\(188\) −28325.0 + 5786.64i −0.801410 + 0.163723i
\(189\) −37908.1 −1.06123
\(190\) −6133.38 + 3144.68i −0.169900 + 0.0871103i
\(191\) 35238.7i 0.965946i 0.875635 + 0.482973i \(0.160443\pi\)
−0.875635 + 0.482973i \(0.839557\pi\)
\(192\) 15063.6 54833.4i 0.408625 1.48745i
\(193\) 7363.80 + 41762.2i 0.197691 + 1.12116i 0.908534 + 0.417812i \(0.137203\pi\)
−0.710842 + 0.703351i \(0.751686\pi\)
\(194\) −3518.49 9275.58i −0.0934874 0.246455i
\(195\) −8328.75 9925.82i −0.219034 0.261034i
\(196\) −81701.9 + 32259.5i −2.12677 + 0.839743i
\(197\) −23708.0 + 41063.5i −0.610890 + 1.05809i 0.380201 + 0.924904i \(0.375855\pi\)
−0.991091 + 0.133188i \(0.957478\pi\)
\(198\) −70625.1 + 953.083i −1.80148 + 0.0243109i
\(199\) −4338.36 11919.6i −0.109552 0.300991i 0.872787 0.488101i \(-0.162310\pi\)
−0.982339 + 0.187110i \(0.940088\pi\)
\(200\) 14637.1 + 35654.3i 0.365926 + 0.891358i
\(201\) −37634.6 65185.0i −0.931526 1.61345i
\(202\) −4062.27 + 2419.02i −0.0995556 + 0.0592839i
\(203\) 63962.3 + 11278.3i 1.55214 + 0.273685i
\(204\) 4987.65 14946.6i 0.119849 0.359156i
\(205\) 559.410 + 469.401i 0.0133114 + 0.0111696i
\(206\) 24414.6 + 8514.89i 0.575327 + 0.200652i
\(207\) 6592.26 18112.1i 0.153849 0.422696i
\(208\) −22652.7 + 44636.7i −0.523593 + 1.03173i
\(209\) 22865.0 52265.7i 0.523455 1.19653i
\(210\) 20548.8 + 11496.9i 0.465958 + 0.260702i
\(211\) 7000.91 19234.8i 0.157250 0.432040i −0.835901 0.548880i \(-0.815054\pi\)
0.993151 + 0.116840i \(0.0372766\pi\)
\(212\) 30176.8 26741.7i 0.671431 0.595000i
\(213\) 81835.5 + 68668.1i 1.80378 + 1.51355i
\(214\) 6067.11 + 31886.1i 0.132481 + 0.696263i
\(215\) 14025.0 + 2472.98i 0.303407 + 0.0534988i
\(216\) 12687.3 24185.8i 0.271933 0.518385i
\(217\) −35985.9 62329.4i −0.764210 1.32365i
\(218\) −52041.4 8453.89i −1.09506 0.177887i
\(219\) −6142.70 16876.9i −0.128077 0.351889i
\(220\) 10611.1 + 5750.23i 0.219237 + 0.118806i
\(221\) −6935.06 + 12011.9i −0.141993 + 0.245938i
\(222\) 28639.4 + 23380.1i 0.581110 + 0.474396i
\(223\) 36967.2 + 44055.8i 0.743373 + 0.885918i 0.996676 0.0814692i \(-0.0259612\pi\)
−0.253302 + 0.967387i \(0.581517\pi\)
\(224\) 9720.14 90442.5i 0.193721 1.80250i
\(225\) 11684.9 + 66268.4i 0.230813 + 1.30901i
\(226\) −28962.2 33584.8i −0.567041 0.657546i
\(227\) 62751.6i 1.21779i −0.793250 0.608896i \(-0.791613\pi\)
0.793250 0.608896i \(-0.208387\pi\)
\(228\) 49278.5 + 63259.8i 0.947955 + 1.21691i
\(229\) 16523.5 0.315087 0.157544 0.987512i \(-0.449642\pi\)
0.157544 + 0.987512i \(0.449642\pi\)
\(230\) −2494.15 + 2150.85i −0.0471484 + 0.0406588i
\(231\) −191928. + 33842.0i −3.59678 + 0.634209i
\(232\) −28603.0 + 37033.9i −0.531417 + 0.688056i
\(233\) 34611.7 29042.7i 0.637546 0.534965i −0.265717 0.964051i \(-0.585609\pi\)
0.903264 + 0.429086i \(0.141164\pi\)
\(234\) −55266.7 + 67698.9i −1.00933 + 1.23637i
\(235\) 7469.19 + 4312.34i 0.135250 + 0.0780867i
\(236\) 52854.6 + 28642.4i 0.948984 + 0.514264i
\(237\) 151703. 55215.5i 2.70084 0.983024i
\(238\) 4041.51 24879.2i 0.0713493 0.439220i
\(239\) −63353.3 + 36577.0i −1.10911 + 0.640343i −0.938598 0.345013i \(-0.887875\pi\)
−0.170509 + 0.985356i \(0.554541\pi\)
\(240\) −14212.6 + 9262.45i −0.246746 + 0.160806i
\(241\) −15908.4 + 90221.0i −0.273900 + 1.55336i 0.468534 + 0.883446i \(0.344782\pi\)
−0.742434 + 0.669919i \(0.766329\pi\)
\(242\) −40599.9 + 7725.13i −0.693257 + 0.131909i
\(243\) −50117.6 + 59727.8i −0.848746 + 1.01150i
\(244\) −15578.9 + 13805.5i −0.261673 + 0.231886i
\(245\) 24624.8 + 8962.68i 0.410242 + 0.149316i
\(246\) 4148.26 7414.28i 0.0685481 0.122518i
\(247\) −31354.1 63240.6i −0.513925 1.03658i
\(248\) 51810.8 2098.57i 0.842397 0.0341209i
\(249\) −19410.1 7064.69i −0.313060 0.113945i
\(250\) 7716.11 22124.3i 0.123458 0.353988i
\(251\) 16503.1 19667.7i 0.261950 0.312180i −0.618998 0.785392i \(-0.712461\pi\)
0.880948 + 0.473212i \(0.156906\pi\)
\(252\) 50270.7 150648.i 0.791614 2.37226i
\(253\) 4733.54 26845.3i 0.0739512 0.419398i
\(254\) 34798.3 + 58436.8i 0.539374 + 0.905773i
\(255\) −4070.93 + 2350.35i −0.0626057 + 0.0361454i
\(256\) 54450.0 + 36471.4i 0.830841 + 0.556509i
\(257\) 60353.6 21966.9i 0.913770 0.332585i 0.158013 0.987437i \(-0.449491\pi\)
0.755757 + 0.654852i \(0.227269\pi\)
\(258\) −2235.70 165669.i −0.0335872 2.48887i
\(259\) 51216.8 + 29570.1i 0.763507 + 0.440811i
\(260\) 13889.5 5484.21i 0.205466 0.0811273i
\(261\) −62583.9 + 52514.2i −0.918717 + 0.770895i
\(262\) −13624.3 + 5168.08i −0.198477 + 0.0752881i
\(263\) −70971.2 + 12514.1i −1.02605 + 0.180921i −0.661252 0.750164i \(-0.729975\pi\)
−0.364803 + 0.931085i \(0.618864\pi\)
\(264\) 42644.0 133778.i 0.611858 1.91946i
\(265\) −12028.8 −0.171289
\(266\) 94033.5 + 87244.0i 1.32898 + 1.23303i
\(267\) 212296.i 2.97797i
\(268\) 84991.2 17363.2i 1.18333 0.241747i
\(269\) 10895.3 + 61790.2i 0.150568 + 0.853916i 0.962726 + 0.270478i \(0.0871817\pi\)
−0.812158 + 0.583438i \(0.801707\pi\)
\(270\) −7618.11 + 2889.77i −0.104501 + 0.0396401i
\(271\) 9707.79 + 11569.3i 0.132185 + 0.157532i 0.828077 0.560615i \(-0.189435\pi\)
−0.695892 + 0.718147i \(0.744991\pi\)
\(272\) 14520.5 + 10905.2i 0.196266 + 0.147400i
\(273\) −120569. + 208831.i −1.61774 + 2.80201i
\(274\) 991.986 + 73507.9i 0.0132131 + 0.979113i
\(275\) 32549.2 + 89428.1i 0.430402 + 1.18252i
\(276\) 30006.0 + 23828.3i 0.393903 + 0.312805i
\(277\) 19842.2 + 34367.7i 0.258601 + 0.447910i 0.965867 0.259037i \(-0.0834052\pi\)
−0.707266 + 0.706947i \(0.750072\pi\)
\(278\) −47651.0 80020.5i −0.616570 1.03541i
\(279\) 89156.0 + 15720.6i 1.14536 + 0.201958i
\(280\) −20065.1 + 18270.3i −0.255932 + 0.233039i
\(281\) −32501.8 27272.3i −0.411619 0.345389i 0.413345 0.910574i \(-0.364360\pi\)
−0.824964 + 0.565185i \(0.808805\pi\)
\(282\) 33042.8 94743.1i 0.415507 1.19138i
\(283\) 51667.0 141954.i 0.645120 1.77245i 0.0101079 0.999949i \(-0.496782\pi\)
0.635012 0.772503i \(-0.280995\pi\)
\(284\) −104924. + 64414.1i −1.30088 + 0.798628i
\(285\) 1513.87 23874.5i 0.0186380 0.293930i
\(286\) −60348.9 + 107863.i −0.737798 + 1.31868i
\(287\) 4648.16 12770.7i 0.0564309 0.155043i
\(288\) 79289.9 + 82492.9i 0.955945 + 0.994562i
\(289\) −60126.1 50451.8i −0.719893 0.604062i
\(290\) 13713.8 2609.39i 0.163065 0.0310272i
\(291\) 33908.5 + 5978.99i 0.400427 + 0.0706060i
\(292\) 20691.2 558.555i 0.242672 0.00655089i
\(293\) 78441.2 + 135864.i 0.913711 + 1.58259i 0.808777 + 0.588115i \(0.200130\pi\)
0.104934 + 0.994479i \(0.466537\pi\)
\(294\) 48884.2 300927.i 0.565554 3.48150i
\(295\) −6133.94 16852.9i −0.0704848 0.193655i
\(296\) −36007.6 + 22780.2i −0.410970 + 0.260000i
\(297\) 33718.8 58402.7i 0.382260 0.662094i
\(298\) −32412.8 + 39704.1i −0.364993 + 0.447098i
\(299\) −21680.2 25837.4i −0.242505 0.289006i
\(300\) −132316. 19665.4i −1.47018 0.218505i
\(301\) −46022.8 261008.i −0.507973 2.88086i
\(302\) −43263.4 + 37308.7i −0.474359 + 0.409068i
\(303\) 16409.6i 0.178737i
\(304\) −87134.3 + 30794.9i −0.942849 + 0.333221i
\(305\) 6209.92 0.0667554
\(306\) 20705.5 + 24010.3i 0.221127 + 0.256421i
\(307\) −64024.5 + 11289.3i −0.679313 + 0.119781i −0.502650 0.864490i \(-0.667641\pi\)
−0.176663 + 0.984271i \(0.556530\pi\)
\(308\) 33019.4 222166.i 0.348071 2.34194i
\(309\) −68746.9 + 57685.5i −0.720006 + 0.604157i
\(310\) −11983.2 9782.65i −0.124696 0.101797i
\(311\) −131371. 75846.9i −1.35824 0.784183i −0.368857 0.929486i \(-0.620251\pi\)
−0.989387 + 0.145304i \(0.953584\pi\)
\(312\) −92883.8 146817.i −0.954181 1.50823i
\(313\) −84185.2 + 30640.9i −0.859305 + 0.312761i −0.733828 0.679335i \(-0.762268\pi\)
−0.125477 + 0.992097i \(0.540046\pi\)
\(314\) −55407.8 9000.75i −0.561968 0.0912892i
\(315\) −41031.1 + 23689.3i −0.413516 + 0.238743i
\(316\) 5020.74 + 185989.i 0.0502798 + 1.86257i
\(317\) 24077.1 136548.i 0.239599 1.35883i −0.593109 0.805122i \(-0.702100\pi\)
0.832708 0.553712i \(-0.186789\pi\)
\(318\) 26158.3 + 137477.i 0.258676 + 1.35949i
\(319\) −74269.4 + 88510.8i −0.729841 + 0.869791i
\(320\) −4941.12 18916.5i −0.0482531 0.184732i
\(321\) −105860. 38530.0i −1.02736 0.373929i
\(322\) 53489.4 + 29927.1i 0.515889 + 0.288638i
\(323\) −24569.5 + 7218.04i −0.235500 + 0.0691854i
\(324\) −26170.6 42629.1i −0.249300 0.406084i
\(325\) 110650. + 40273.4i 1.04758 + 0.381287i
\(326\) −58663.9 20459.8i −0.551996 0.192515i
\(327\) 117624. 140179.i 1.10002 1.31095i
\(328\) 6592.17 + 7239.75i 0.0612746 + 0.0672940i
\(329\) 27871.8 158069.i 0.257498 1.46034i
\(330\) −35990.5 + 21431.8i −0.330491 + 0.196803i
\(331\) 104460. 60310.0i 0.953441 0.550469i 0.0592928 0.998241i \(-0.481115\pi\)
0.894148 + 0.447771i \(0.147782\pi\)
\(332\) 14804.2 18642.3i 0.134310 0.169131i
\(333\) −69904.4 + 25443.1i −0.630400 + 0.229447i
\(334\) 10.1573 0.137072i 9.10509e−5 1.22873e-6i
\(335\) −22411.8 12939.5i −0.199704 0.115299i
\(336\) 252445. + 189592.i 2.23609 + 1.67935i
\(337\) 55727.6 46761.0i 0.490694 0.411741i −0.363581 0.931563i \(-0.618446\pi\)
0.854275 + 0.519822i \(0.174002\pi\)
\(338\) 13720.3 + 36169.9i 0.120096 + 0.316603i
\(339\) 151583. 26728.2i 1.31902 0.232579i
\(340\) −1084.37 5307.87i −0.00938034 0.0459158i
\(341\) 128036. 1.10109
\(342\) −160097. + 20068.6i −1.36877 + 0.171580i
\(343\) 274400.i 2.33236i
\(344\) 181929. + 57992.9i 1.53740 + 0.490070i
\(345\) −1984.94 11257.2i −0.0166767 0.0945782i
\(346\) 33082.1 + 87212.3i 0.276338 + 0.728493i
\(347\) 53938.6 + 64281.5i 0.447961 + 0.533860i 0.942015 0.335572i \(-0.108930\pi\)
−0.494053 + 0.869432i \(0.664485\pi\)
\(348\) −59645.3 151060.i −0.492513 1.24736i
\(349\) −11986.9 + 20762.0i −0.0984142 + 0.170458i −0.911028 0.412344i \(-0.864710\pi\)
0.812614 + 0.582802i \(0.198044\pi\)
\(350\) −213963. + 2887.42i −1.74664 + 0.0235708i
\(351\) −28538.6 78409.1i −0.231642 0.636432i
\(352\) 130693. + 95422.6i 1.05479 + 0.770134i
\(353\) 34072.2 + 59014.8i 0.273433 + 0.473600i 0.969739 0.244146i \(-0.0785075\pi\)
−0.696306 + 0.717745i \(0.745174\pi\)
\(354\) −179272. + 106754.i −1.43056 + 0.851877i
\(355\) 36171.7 + 6378.04i 0.287020 + 0.0506093i
\(356\) −232088. 77446.9i −1.83127 0.611088i
\(357\) 67014.7 + 56232.0i 0.525816 + 0.441212i
\(358\) 159690. + 55693.9i 1.24598 + 0.434552i
\(359\) −36191.6 + 99435.6i −0.280814 + 0.771530i 0.716452 + 0.697636i \(0.245765\pi\)
−0.997266 + 0.0738940i \(0.976457\pi\)
\(360\) −1381.48 34106.7i −0.0106595 0.263169i
\(361\) 38659.7 124455.i 0.296650 0.954986i
\(362\) 48291.1 + 27018.7i 0.368510 + 0.206180i
\(363\) 49059.5 134790.i 0.372315 1.02293i
\(364\) −184315. 207992.i −1.39110 1.56980i
\(365\) −4730.33 3969.22i −0.0355063 0.0297933i
\(366\) −13504.4 70973.1i −0.100812 0.529824i
\(367\) −44424.4 7833.22i −0.329829 0.0581578i 0.00628142 0.999980i \(-0.498001\pi\)
−0.336111 + 0.941822i \(0.609112\pi\)
\(368\) −36996.0 + 24110.6i −0.273186 + 0.178038i
\(369\) 8547.43 + 14804.6i 0.0627744 + 0.108729i
\(370\) 12546.8 + 2038.17i 0.0916495 + 0.0148880i
\(371\) 76564.2 + 210358.i 0.556260 + 1.52831i
\(372\) −85746.5 + 158230.i −0.619627 + 1.14341i
\(373\) 17814.3 30855.3i 0.128042 0.221775i −0.794876 0.606772i \(-0.792464\pi\)
0.922918 + 0.384997i \(0.125798\pi\)
\(374\) 34734.9 + 28356.2i 0.248327 + 0.202724i
\(375\) 52274.1 + 62297.8i 0.371727 + 0.443007i
\(376\) 91521.3 + 70686.1i 0.647361 + 0.499986i
\(377\) 24825.1 + 140790.i 0.174666 + 0.990580i
\(378\) 99026.0 + 114831.i 0.693052 + 0.803669i
\(379\) 30202.2i 0.210262i −0.994458 0.105131i \(-0.966474\pi\)
0.994458 0.105131i \(-0.0335261\pi\)
\(380\) 25547.9 + 10364.5i 0.176924 + 0.0717766i
\(381\) −236057. −1.62617
\(382\) 106745. 92052.7i 0.731512 0.630826i
\(383\) 176988. 31207.8i 1.20655 0.212748i 0.466025 0.884772i \(-0.345686\pi\)
0.740530 + 0.672024i \(0.234575\pi\)
\(384\) −205452. + 97608.8i −1.39331 + 0.661952i
\(385\) −51329.8 + 43070.8i −0.346297 + 0.290577i
\(386\) 107270. 131400.i 0.719953 0.881905i
\(387\) 288715. + 166690.i 1.92774 + 1.11298i
\(388\) −18906.4 + 34888.5i −0.125587 + 0.231750i
\(389\) −160949. + 58580.7i −1.06363 + 0.387128i −0.813790 0.581159i \(-0.802599\pi\)
−0.249837 + 0.968288i \(0.580377\pi\)
\(390\) −8310.44 + 51158.3i −0.0546380 + 0.336347i
\(391\) −10596.8 + 6118.09i −0.0693143 + 0.0400186i
\(392\) 311148. + 163221.i 2.02486 + 1.06220i
\(393\) 8782.14 49806.0i 0.0568611 0.322475i
\(394\) 186321. 35452.2i 1.20025 0.228376i
\(395\) 35678.5 42519.9i 0.228671 0.272520i
\(396\) 187378. + 211448.i 1.19489 + 1.34838i
\(397\) −63147.6 22983.8i −0.400660 0.145828i 0.133828 0.991005i \(-0.457273\pi\)
−0.534487 + 0.845176i \(0.679495\pi\)
\(398\) −24773.8 + 44278.8i −0.156396 + 0.279531i
\(399\) −427151. + 125489.i −2.68309 + 0.788240i
\(400\) 69768.3 137477.i 0.436052 0.859232i
\(401\) 85495.1 + 31117.7i 0.531683 + 0.193517i 0.593890 0.804547i \(-0.297592\pi\)
−0.0622067 + 0.998063i \(0.519814\pi\)
\(402\) −99147.3 + 284283.i −0.613520 + 1.75913i
\(403\) 101831. 121357.i 0.627001 0.747231i
\(404\) 17939.4 + 5986.32i 0.109912 + 0.0366773i
\(405\) −2591.31 + 14696.0i −0.0157983 + 0.0895964i
\(406\) −132922. 223217.i −0.806390 1.35417i
\(407\) −91113.5 + 52604.4i −0.550039 + 0.317565i
\(408\) −58305.5 + 23936.0i −0.350259 + 0.143791i
\(409\) 24830.4 9037.52i 0.148435 0.0540260i −0.266734 0.963770i \(-0.585945\pi\)
0.415169 + 0.909744i \(0.363722\pi\)
\(410\) −39.4156 2920.77i −0.000234477 0.0173752i
\(411\) −220967. 127576.i −1.30811 0.755238i
\(412\) −37984.0 96199.9i −0.223772 0.566735i
\(413\) −255679. + 214540.i −1.49897 + 1.25779i
\(414\) −72086.0 + 27344.2i −0.420581 + 0.159538i
\(415\) −6993.94 + 1233.22i −0.0406093 + 0.00716052i
\(416\) 194389. 47983.2i 1.12327 0.277270i
\(417\) 323245. 1.85891
\(418\) −218053. + 67269.0i −1.24799 + 0.385002i
\(419\) 20145.4i 0.114749i 0.998353 + 0.0573744i \(0.0182729\pi\)
−0.998353 + 0.0573744i \(0.981727\pi\)
\(420\) −18852.2 92279.4i −0.106872 0.523126i
\(421\) −42560.5 241373.i −0.240128 1.36183i −0.831541 0.555464i \(-0.812541\pi\)
0.591413 0.806369i \(-0.298570\pi\)
\(422\) −76554.5 + 29039.3i −0.429879 + 0.163065i
\(423\) 129777. + 154663.i 0.725301 + 0.864380i
\(424\) −159836. 21555.3i −0.889083 0.119901i
\(425\) 21359.4 36995.5i 0.118252 0.204819i
\(426\) −5766.07 427276.i −0.0317732 2.35445i
\(427\) −39526.7 108599.i −0.216788 0.595619i
\(428\) 80740.5 101673.i 0.440762 0.555034i
\(429\) −214489. 371506.i −1.16544 2.01860i
\(430\) −29145.7 48944.6i −0.157630 0.264708i
\(431\) 205916. + 36308.6i 1.10850 + 0.195459i 0.697787 0.716305i \(-0.254168\pi\)
0.410714 + 0.911764i \(0.365279\pi\)
\(432\) −106406. + 24747.1i −0.570164 + 0.132604i
\(433\) 17929.7 + 15044.8i 0.0956305 + 0.0802435i 0.689349 0.724429i \(-0.257896\pi\)
−0.593719 + 0.804672i \(0.702341\pi\)
\(434\) −94803.9 + 271830.i −0.503323 + 1.44317i
\(435\) −16571.3 + 45529.2i −0.0875744 + 0.240609i
\(436\) 110337. + 179728.i 0.580430 + 0.945459i
\(437\) 3940.68 62146.4i 0.0206352 0.325427i
\(438\) −35077.3 + 62694.5i −0.182843 + 0.326799i
\(439\) 28096.6 77194.7i 0.145789 0.400551i −0.845208 0.534438i \(-0.820523\pi\)
0.990997 + 0.133886i \(0.0427457\pi\)
\(440\) −10300.2 47164.2i −0.0532037 0.243617i
\(441\) 469926. + 394315.i 2.41631 + 2.02752i
\(442\) 54502.6 10370.5i 0.278980 0.0530828i
\(443\) −376011. 66300.8i −1.91599 0.337840i −0.917749 0.397161i \(-0.869996\pi\)
−0.998239 + 0.0593202i \(0.981107\pi\)
\(444\) −3990.64 147830.i −0.0202431 0.749887i
\(445\) 36495.7 + 63212.4i 0.184298 + 0.319214i
\(446\) 36885.9 227067.i 0.185435 1.14152i
\(447\) −60842.4 167163.i −0.304503 0.836614i
\(448\) −299360. + 206815.i −1.49155 + 1.03045i
\(449\) −153913. + 266586.i −0.763455 + 1.32234i 0.177605 + 0.984102i \(0.443165\pi\)
−0.941060 + 0.338241i \(0.890168\pi\)
\(450\) 170216. 208506.i 0.840575 1.02966i
\(451\) 15540.6 + 18520.5i 0.0764035 + 0.0910542i
\(452\) −26078.4 + 175465.i −0.127645 + 0.858842i
\(453\) −34430.8 195267.i −0.167784 0.951550i
\(454\) −190087. + 163924.i −0.922235 + 0.795298i
\(455\) 82907.6i 0.400471i
\(456\) 62898.6 314526.i 0.302490 1.51261i
\(457\) −176153. −0.843448 −0.421724 0.906724i \(-0.638575\pi\)
−0.421724 + 0.906724i \(0.638575\pi\)
\(458\) −43163.7 50053.1i −0.205773 0.238616i
\(459\) −29811.5 + 5256.56i −0.141500 + 0.0249503i
\(460\) 13030.7 + 1936.69i 0.0615820 + 0.00915260i
\(461\) 148293. 124433.i 0.697783 0.585509i −0.223359 0.974736i \(-0.571702\pi\)
0.921142 + 0.389227i \(0.127258\pi\)
\(462\) 603880. + 492984.i 2.82922 + 2.30966i
\(463\) 312453. + 180395.i 1.45755 + 0.841516i 0.998890 0.0470976i \(-0.0149972\pi\)
0.458657 + 0.888613i \(0.348331\pi\)
\(464\) 186902. 10098.1i 0.868115 0.0469034i
\(465\) 50452.2 18363.1i 0.233332 0.0849258i
\(466\) −178391. 28978.9i −0.821489 0.133447i
\(467\) −70567.7 + 40742.3i −0.323573 + 0.186815i −0.652984 0.757372i \(-0.726483\pi\)
0.329411 + 0.944187i \(0.393150\pi\)
\(468\) 349445. 9433.21i 1.59547 0.0430693i
\(469\) −83631.4 + 474297.i −0.380210 + 2.15628i
\(470\) −6448.53 33890.6i −0.0291921 0.153421i
\(471\) 125233. 149247.i 0.564517 0.672765i
\(472\) −51306.5 234929.i −0.230297 1.05452i
\(473\) 443056. + 161259.i 1.98032 + 0.720779i
\(474\) −563548. 315303.i −2.50827 1.40337i
\(475\) 96567.7 + 194775.i 0.428001 + 0.863270i
\(476\) −85921.6 + 52748.4i −0.379218 + 0.232807i
\(477\) −264604. 96308.0i −1.16295 0.423278i
\(478\) 276295. + 96361.2i 1.20925 + 0.421742i
\(479\) −179755. + 214224.i −0.783450 + 0.933679i −0.999084 0.0427953i \(-0.986374\pi\)
0.215634 + 0.976474i \(0.430818\pi\)
\(480\) 65184.8 + 18856.8i 0.282920 + 0.0818437i
\(481\) −22604.8 + 128198.i −0.0977036 + 0.554105i
\(482\) 314855. 187491.i 1.35524 0.807025i
\(483\) −184230. + 106365.i −0.789709 + 0.455938i
\(484\) 129459. + 102805.i 0.552637 + 0.438859i
\(485\) 11124.3 4048.91i 0.0472922 0.0172129i
\(486\) 311848. 4208.38i 1.32029 0.0178173i
\(487\) 107373. + 61992.0i 0.452729 + 0.261383i 0.708982 0.705226i \(-0.249155\pi\)
−0.256253 + 0.966610i \(0.582488\pi\)
\(488\) 82516.1 + 11128.1i 0.346497 + 0.0467283i
\(489\) 165187. 138608.i 0.690808 0.579657i
\(490\) −37176.6 98006.3i −0.154838 0.408190i
\(491\) −86033.3 + 15170.0i −0.356865 + 0.0629249i −0.349206 0.937046i \(-0.613549\pi\)
−0.00765821 + 0.999971i \(0.502438\pi\)
\(492\) −33295.7 + 6802.12i −0.137549 + 0.0281005i
\(493\) 51864.7 0.213392
\(494\) −109664. + 260179.i −0.449375 + 1.06615i
\(495\) 84285.4i 0.343987i
\(496\) −141700. 151463.i −0.575981 0.615665i
\(497\) −118697. 673164.i −0.480537 2.72526i
\(498\) 29303.8 + 77251.9i 0.118159 + 0.311494i
\(499\) −236595. 281963.i −0.950178 1.13238i −0.991087 0.133215i \(-0.957470\pi\)
0.0409091 0.999163i \(-0.486975\pi\)
\(500\) −87175.4 + 34420.7i −0.348702 + 0.137683i
\(501\) −17.6283 + 30.5332i −7.02321e−5 + 0.000121646i
\(502\) −102688. + 1385.77i −0.407485 + 0.00549899i
\(503\) −118577. 325786.i −0.468665 1.28765i −0.918813 0.394693i \(-0.870851\pi\)
0.450147 0.892954i \(-0.351371\pi\)
\(504\) −587663. + 241252.i −2.31349 + 0.949749i
\(505\) −2820.97 4886.06i −0.0110615 0.0191591i
\(506\) −93685.1 + 55788.0i −0.365906 + 0.217891i
\(507\) −132226. 23314.9i −0.514399 0.0907023i
\(508\) 86114.9 258063.i 0.333696 0.999998i
\(509\) 21418.7 + 17972.5i 0.0826720 + 0.0693700i 0.683187 0.730243i \(-0.260593\pi\)
−0.600515 + 0.799613i \(0.705038\pi\)
\(510\) 17754.1 + 6191.94i 0.0682586 + 0.0238060i
\(511\) −39304.4 + 107988.i −0.150522 + 0.413556i
\(512\) −31758.5 260213.i −0.121149 0.992634i
\(513\) 61745.0 141139.i 0.234621 0.536306i
\(514\) −224202. 125440.i −0.848619 0.474799i
\(515\) −10553.1 + 28994.4i −0.0397893 + 0.109320i
\(516\) −496005. + 439544.i −1.86289 + 1.65083i
\(517\) 218735. + 183541.i 0.818348 + 0.686675i
\(518\) −44218.1 232391.i −0.164794 0.866084i
\(519\) −318820. 56216.6i −1.18362 0.208703i
\(520\) −52895.9 27748.0i −0.195621 0.102618i
\(521\) 99974.9 + 173162.i 0.368312 + 0.637935i 0.989302 0.145884i \(-0.0466026\pi\)
−0.620990 + 0.783819i \(0.713269\pi\)
\(522\) 322562. + 52398.7i 1.18378 + 0.192300i
\(523\) 62786.5 + 172504.i 0.229542 + 0.630662i 0.999976 0.00685720i \(-0.00218273\pi\)
−0.770434 + 0.637520i \(0.779961\pi\)
\(524\) 51245.4 + 27770.4i 0.186635 + 0.101139i
\(525\) 371341. 643181.i 1.34727 2.33354i
\(526\) 223303. + 182296.i 0.807093 + 0.658879i
\(527\) −36942.8 44026.7i −0.133017 0.158524i
\(528\) −516639. + 220287.i −1.85319 + 0.790170i
\(529\) 43427.0 + 246287.i 0.155184 + 0.880095i
\(530\) 31422.3 + 36437.6i 0.111863 + 0.129717i
\(531\) 419833.i 1.48898i
\(532\) 18639.8 512751.i 0.0658595 1.81169i
\(533\) 29914.2 0.105299
\(534\) 643089. 554574.i 2.25522 1.94481i
\(535\) −38144.2 + 6725.85i −0.133266 + 0.0234985i
\(536\) −274616. 212098.i −0.955865 0.738258i
\(537\) −449658. + 377308.i −1.55931 + 1.30842i
\(538\) 158714. 194416.i 0.548340 0.671689i
\(539\) 751345. + 433789.i 2.58620 + 1.49314i
\(540\) 28654.2 + 15528.0i 0.0982655 + 0.0532510i
\(541\) −395206. + 143843.i −1.35030 + 0.491467i −0.913040 0.407870i \(-0.866272\pi\)
−0.437255 + 0.899337i \(0.644049\pi\)
\(542\) 9686.45 59628.9i 0.0329736 0.202982i
\(543\) −166326. + 96028.3i −0.564106 + 0.325686i
\(544\) −4897.24 72473.0i −0.0165483 0.244894i
\(545\) 10925.2 61959.8i 0.0367820 0.208601i
\(546\) 947550. 180295.i 3.17846 0.604781i
\(547\) −96246.1 + 114702.i −0.321668 + 0.383350i −0.902511 0.430666i \(-0.858279\pi\)
0.580843 + 0.814016i \(0.302723\pi\)
\(548\) 220079. 195027.i 0.732854 0.649432i
\(549\) 136603. + 49719.5i 0.453227 + 0.164961i
\(550\) 185869. 332208.i 0.614443 1.09821i
\(551\) −146173. + 219773.i −0.481465 + 0.723889i
\(552\) −6202.86 153140.i −0.0203570 0.502586i
\(553\) −970682. 353299.i −3.17414 1.15529i
\(554\) 52273.7 149884.i 0.170319 0.488354i
\(555\) −28358.4 + 33796.2i −0.0920651 + 0.109719i
\(556\) −117922. + 353379.i −0.381455 + 1.14312i
\(557\) −59145.0 + 335428.i −0.190637 + 1.08116i 0.727859 + 0.685727i \(0.240515\pi\)
−0.918496 + 0.395430i \(0.870596\pi\)
\(558\) −185278. 311138.i −0.595053 0.999274i
\(559\) 505222. 291690.i 1.61681 0.933465i
\(560\) 107760. + 13054.4i 0.343621 + 0.0416276i
\(561\) −146242. + 53227.7i −0.464671 + 0.169127i
\(562\) 2290.05 + 169697.i 0.00725058 + 0.537281i
\(563\) −362243. 209141.i −1.14283 0.659815i −0.195703 0.980663i \(-0.562699\pi\)
−0.947131 + 0.320848i \(0.896032\pi\)
\(564\) −373313. + 147400.i −1.17358 + 0.463384i
\(565\) 40539.8 34017.0i 0.126995 0.106561i
\(566\) −564975. + 214311.i −1.76359 + 0.668978i
\(567\) 273497. 48225.0i 0.850721 0.150005i
\(568\) 469212. + 149569.i 1.45436 + 0.463602i
\(569\) 79014.3 0.244051 0.122026 0.992527i \(-0.461061\pi\)
0.122026 + 0.992527i \(0.461061\pi\)
\(570\) −76275.2 + 57780.6i −0.234765 + 0.177841i
\(571\) 115354.i 0.353803i 0.984229 + 0.176902i \(0.0566074\pi\)
−0.984229 + 0.176902i \(0.943393\pi\)
\(572\) 484386. 98957.3i 1.48047 0.302452i
\(573\) 84952.1 + 481787.i 0.258741 + 1.46739i
\(574\) −50827.3 + 19280.2i −0.154267 + 0.0585179i
\(575\) 66772.9 + 79576.8i 0.201960 + 0.240686i
\(576\) 42761.8 455679.i 0.128888 1.37345i
\(577\) −248819. + 430968.i −0.747364 + 1.29447i 0.201718 + 0.979444i \(0.435348\pi\)
−0.949082 + 0.315029i \(0.897986\pi\)
\(578\) 4236.44 + 313928.i 0.0126808 + 0.939667i
\(579\) 201358. + 553225.i 0.600635 + 1.65023i
\(580\) −43728.4 34725.4i −0.129989 0.103227i
\(581\) 66083.5 + 114460.i 0.195768 + 0.339079i
\(582\) −70466.4 118335.i −0.208035 0.349354i
\(583\) −392189. 69153.5i −1.15387 0.203459i
\(584\) −55742.8 61218.8i −0.163442 0.179498i
\(585\) −79888.6 67034.5i −0.233439 0.195878i
\(586\) 206651. 592527.i 0.601787 1.72549i
\(587\) −3398.54 + 9337.41i −0.00986316 + 0.0270988i −0.944527 0.328435i \(-0.893479\pi\)
0.934663 + 0.355534i \(0.115701\pi\)
\(588\) −1.03927e6 + 638020.i −3.00589 + 1.84535i
\(589\) 290678. 32459.7i 0.837880 0.0935651i
\(590\) −35027.3 + 62605.1i −0.100624 + 0.179848i
\(591\) −225144. + 618579.i −0.644594 + 1.77101i
\(592\) 163067. + 49566.5i 0.465289 + 0.141431i
\(593\) −115604. 97003.5i −0.328749 0.275853i 0.463441 0.886128i \(-0.346615\pi\)
−0.792190 + 0.610275i \(0.791059\pi\)
\(594\) −264996. + 50422.0i −0.751046 + 0.142905i
\(595\) 29620.8 + 5222.95i 0.0836687 + 0.0147530i
\(596\) 204943. 5532.39i 0.576952 0.0155747i
\(597\) −88049.8 152507.i −0.247047 0.427898i
\(598\) −21632.5 + 133168.i −0.0604929 + 0.372389i
\(599\) −14165.8 38920.3i −0.0394810 0.108473i 0.918386 0.395687i \(-0.129493\pi\)
−0.957867 + 0.287213i \(0.907271\pi\)
\(600\) 286074. + 452183.i 0.794649 + 1.25606i
\(601\) 150495. 260665.i 0.416651 0.721661i −0.578949 0.815364i \(-0.696537\pi\)
0.995600 + 0.0937028i \(0.0298704\pi\)
\(602\) −670424. + 821235.i −1.84994 + 2.26608i
\(603\) −389406. 464076.i −1.07095 1.27631i
\(604\) 226031. + 33593.8i 0.619576 + 0.0920842i
\(605\) −8563.90 48568.3i −0.0233970 0.132691i
\(606\) −49708.1 + 42866.3i −0.135357 + 0.116727i
\(607\) 545441.i 1.48037i 0.672403 + 0.740185i \(0.265262\pi\)
−0.672403 + 0.740185i \(0.734738\pi\)
\(608\) 320902. + 183503.i 0.868091 + 0.496405i
\(609\) 901689. 2.43121
\(610\) −16221.9 18811.1i −0.0435957 0.0505539i
\(611\) 347933. 61349.9i 0.931993 0.164336i
\(612\) 18643.8 125442.i 0.0497774 0.334920i
\(613\) 31517.7 26446.5i 0.0838751 0.0703795i −0.599886 0.800085i \(-0.704787\pi\)
0.683761 + 0.729706i \(0.260343\pi\)
\(614\) 201446. + 164453.i 0.534346 + 0.436219i
\(615\) 8779.94 + 5069.10i 0.0232135 + 0.0134023i
\(616\) −759242. + 480334.i −2.00087 + 1.26585i
\(617\) 30420.1 11072.0i 0.0799081 0.0290842i −0.301757 0.953385i \(-0.597573\pi\)
0.381665 + 0.924301i \(0.375351\pi\)
\(618\) 354326. + 57558.7i 0.927741 + 0.150707i
\(619\) 55265.1 31907.3i 0.144235 0.0832739i −0.426146 0.904654i \(-0.640129\pi\)
0.570381 + 0.821381i \(0.306796\pi\)
\(620\) 1669.75 + 61854.5i 0.00434379 + 0.160912i
\(621\) 12782.5 72493.3i 0.0331462 0.187981i
\(622\) 113419. + 596081.i 0.293161 + 1.54072i
\(623\) 873156. 1.04059e6i 2.24965 2.68103i
\(624\) −202102. + 664889.i −0.519041 + 1.70758i
\(625\) −327412. 119168.i −0.838174 0.305070i
\(626\) 312732. + 174972.i 0.798037 + 0.446499i
\(627\) 186613. 769705.i 0.474686 1.95789i
\(628\) 117475. + 191354.i 0.297869 + 0.485197i
\(629\) 44378.0 + 16152.3i 0.112167 + 0.0408255i
\(630\) 178944. + 62408.8i 0.450853 + 0.157241i
\(631\) 103973. 123911.i 0.261134 0.311207i −0.619508 0.784991i \(-0.712668\pi\)
0.880641 + 0.473784i \(0.157112\pi\)
\(632\) 550283. 501061.i 1.37769 1.25446i
\(633\) 49346.6 279858.i 0.123154 0.698443i
\(634\) −476527. + 283765.i −1.18552 + 0.705959i
\(635\) −70287.3 + 40580.4i −0.174313 + 0.100640i
\(636\) 348113. 438365.i 0.860609 1.08373i
\(637\) 1.00873e6 367146.i 2.48596 0.904816i
\(638\) 462129. 6236.41i 1.13533 0.0153212i
\(639\) 744624. + 429909.i 1.82362 + 1.05287i
\(640\) −44394.5 + 64382.6i −0.108385 + 0.157184i
\(641\) −382287. + 320776.i −0.930407 + 0.780704i −0.975890 0.218261i \(-0.929962\pi\)
0.0454835 + 0.998965i \(0.485517\pi\)
\(642\) 159820. + 421323.i 0.387758 + 1.02222i
\(643\) −782765. + 138023.i −1.89326 + 0.333832i −0.994510 0.104637i \(-0.966632\pi\)
−0.898746 + 0.438469i \(0.855521\pi\)
\(644\) −49073.1 240208.i −0.118324 0.579183i
\(645\) 197713. 0.475242
\(646\) 86047.0 + 55570.7i 0.206191 + 0.133162i
\(647\) 125497.i 0.299795i 0.988702 + 0.149898i \(0.0478944\pi\)
−0.988702 + 0.149898i \(0.952106\pi\)
\(648\) −60767.8 + 190634.i −0.144718 + 0.453995i
\(649\) −103105. 584738.i −0.244789 1.38826i
\(650\) −167051. 440387.i −0.395388 1.04234i
\(651\) −642265. 765421.i −1.51549 1.80609i
\(652\) 91268.8 + 231151.i 0.214698 + 0.543752i
\(653\) 105347. 182467.i 0.247057 0.427916i −0.715651 0.698458i \(-0.753870\pi\)
0.962708 + 0.270543i \(0.0872031\pi\)
\(654\) −731897. + 9876.91i −1.71117 + 0.0230922i
\(655\) −5947.18 16339.7i −0.0138621 0.0380858i
\(656\) 4710.21 38881.2i 0.0109454 0.0903507i
\(657\) −72276.4 125186.i −0.167442 0.290019i
\(658\) −551632. + 328488.i −1.27408 + 0.758697i
\(659\) 60349.8 + 10641.3i 0.138965 + 0.0245033i 0.242698 0.970102i \(-0.421968\pi\)
−0.103733 + 0.994605i \(0.533079\pi\)
\(660\) 158938. + 53037.1i 0.364871 + 0.121756i
\(661\) 527627. + 442732.i 1.20760 + 1.01330i 0.999380 + 0.0352177i \(0.0112125\pi\)
0.208223 + 0.978081i \(0.433232\pi\)
\(662\) −455568. 158885.i −1.03953 0.362549i
\(663\) −65859.2 + 180947.i −0.149827 + 0.411645i
\(664\) −95143.9 + 3853.76i −0.215797 + 0.00874075i
\(665\) −105614. + 110796.i −0.238824 + 0.250542i
\(666\) 259681. + 145291.i 0.585453 + 0.327558i
\(667\) −43135.8 + 118515.i −0.0969587 + 0.266392i
\(668\) −26.9487 30.4104i −6.03928e−5 6.81505e-5i
\(669\) 611628. + 513217.i 1.36658 + 1.14670i
\(670\) 19349.3 + 101691.i 0.0431038 + 0.226534i
\(671\) 202470. + 35700.9i 0.449692 + 0.0792928i
\(672\) −85140.4 1.25997e6i −0.188537 2.79012i
\(673\) −32039.1 55493.3i −0.0707375 0.122521i 0.828487 0.560008i \(-0.189202\pi\)
−0.899225 + 0.437487i \(0.855869\pi\)
\(674\) −287224. 46658.2i −0.632267 0.102709i
\(675\) 87896.2 + 241493.i 0.192913 + 0.530025i
\(676\) 73725.2 136047.i 0.161333 0.297711i
\(677\) 123678. 214217.i 0.269846 0.467386i −0.698976 0.715145i \(-0.746361\pi\)
0.968822 + 0.247759i \(0.0796940\pi\)
\(678\) −476940. 389355.i −1.03754 0.847005i
\(679\) −141614. 168769.i −0.307162 0.366061i
\(680\) −13246.0 + 17150.3i −0.0286461 + 0.0370898i
\(681\) −151279. 857947.i −0.326201 1.84998i
\(682\) −334464. 387847.i −0.719086 0.833858i
\(683\) 530571.i 1.13737i −0.822555 0.568685i \(-0.807452\pi\)
0.822555 0.568685i \(-0.192548\pi\)
\(684\) 479009. + 432543.i 1.02384 + 0.924522i
\(685\) −87725.7 −0.186959
\(686\) −831215. + 716806.i −1.76630 + 1.52319i
\(687\) 225911. 39834.2i 0.478657 0.0844001i
\(688\) −299575. 702594.i −0.632890 1.48432i
\(689\) −377465. + 316731.i −0.795130 + 0.667193i
\(690\) −28915.1 + 35419.5i −0.0607332 + 0.0743951i
\(691\) −106722. 61616.0i −0.223511 0.129044i 0.384064 0.923306i \(-0.374524\pi\)
−0.607575 + 0.794263i \(0.707857\pi\)
\(692\) 177765. 328034.i 0.371222 0.685025i
\(693\) −1.47398e6 + 536484.i −3.06919 + 1.11709i
\(694\) 53820.0 331311.i 0.111744 0.687887i
\(695\) 96248.0 55568.8i 0.199261 0.115043i
\(696\) −301783. + 575287.i −0.622983 + 1.18759i
\(697\) 1884.51 10687.6i 0.00387912 0.0219996i
\(698\) 94205.4 17924.9i 0.193359 0.0367914i
\(699\) 403201. 480516.i 0.825215 0.983452i
\(700\) 567675. + 640595.i 1.15852 + 1.30734i
\(701\) −892572. 324870.i −1.81638 0.661109i −0.996006 0.0892833i \(-0.971542\pi\)
−0.820375 0.571826i \(-0.806235\pi\)
\(702\) −162967. + 291274.i −0.330693 + 0.591055i
\(703\) −193517. + 142526.i −0.391569 + 0.288392i
\(704\) −52350.1 645165.i −0.105626 1.30174i
\(705\) 112516. + 40952.3i 0.226378 + 0.0823949i
\(706\) 89762.2 257374.i 0.180088 0.516363i
\(707\) −67491.3 + 80433.0i −0.135023 + 0.160915i
\(708\) 791685. + 264183.i 1.57938 + 0.527033i
\(709\) 74792.2 424168.i 0.148787 0.843811i −0.815462 0.578811i \(-0.803517\pi\)
0.964248 0.265000i \(-0.0853719\pi\)
\(710\) −75169.5 126233.i −0.149116 0.250412i
\(711\) 1.12527e6 649677.i 2.22597 1.28516i
\(712\) 371672. + 905353.i 0.733161 + 1.78590i
\(713\) 131330. 47800.0i 0.258335 0.0940263i
\(714\) −4721.80 349894.i −0.00926214 0.686341i
\(715\) −127731. 73745.3i −0.249852 0.144252i
\(716\) −248445. 629221.i −0.484622 1.22738i
\(717\) −777995. + 652815.i −1.51335 + 1.26985i
\(718\) 395753. 150120.i 0.767671 0.291199i
\(719\) −269905. + 47591.5i −0.522099 + 0.0920602i −0.428486 0.903548i \(-0.640953\pi\)
−0.0936132 + 0.995609i \(0.529842\pi\)
\(720\) −99707.5 + 93280.6i −0.192337 + 0.179939i
\(721\) 574224. 1.10461
\(722\) −477988. + 208001.i −0.916944 + 0.399016i
\(723\) 1.27186e6i 2.43312i
\(724\) −44304.0 216863.i −0.0845211 0.413723i
\(725\) −76459.1 433621.i −0.145463 0.824963i
\(726\) −536463. + 203496.i −1.01781 + 0.386084i
\(727\) 612163. + 729547.i 1.15824 + 1.38033i 0.911524 + 0.411247i \(0.134906\pi\)
0.246714 + 0.969088i \(0.420649\pi\)
\(728\) −148569. + 1.10166e6i −0.280327 + 2.07866i
\(729\) −414607. + 718121.i −0.780157 + 1.35127i
\(730\) 333.295 + 24697.8i 0.000625437 + 0.0463460i
\(731\) −72385.9 198879.i −0.135463 0.372180i
\(732\) −179715. + 226308.i −0.335399 + 0.422355i
\(733\) −19022.2 32947.5i −0.0354041 0.0613217i 0.847780 0.530347i \(-0.177938\pi\)
−0.883185 + 0.469026i \(0.844605\pi\)
\(734\) 92319.8 + 155033.i 0.171357 + 0.287761i
\(735\) 358279. + 63174.3i 0.663204 + 0.116941i
\(736\) 169679. + 49085.2i 0.313237 + 0.0906139i
\(737\) −656331. 550727.i −1.20834 1.01391i
\(738\) 22518.0 64565.4i 0.0413444 0.118546i
\(739\) 30395.5 83511.0i 0.0556571 0.152917i −0.908748 0.417344i \(-0.862961\pi\)
0.964405 + 0.264428i \(0.0851831\pi\)
\(740\) −26601.5 43331.1i −0.0485784 0.0791291i
\(741\) −581135. 789046.i −1.05838 1.43703i
\(742\) 437213. 781440.i 0.794118 1.41934i
\(743\) −133636. + 367161.i −0.242072 + 0.665088i 0.757848 + 0.652432i \(0.226251\pi\)
−0.999920 + 0.0126566i \(0.995971\pi\)
\(744\) 703304. 153595.i 1.27057 0.277481i
\(745\) −46853.1 39314.4i −0.0844161 0.0708335i
\(746\) −140003. + 26639.0i −0.251570 + 0.0478674i
\(747\) −163724. 28868.9i −0.293407 0.0517355i
\(748\) −4839.99 179293.i −0.00865049 0.320450i
\(749\) 360412. + 624253.i 0.642445 + 1.11275i
\(750\) 52159.1 321087.i 0.0927274 0.570822i
\(751\) 64897.7 + 178305.i 0.115067 + 0.316143i 0.983835 0.179075i \(-0.0573104\pi\)
−0.868769 + 0.495218i \(0.835088\pi\)
\(752\) −24955.3 461887.i −0.0441294 0.816771i
\(753\) 178218. 308683.i 0.314313 0.544407i
\(754\) 361633. 442981.i 0.636099 0.779189i
\(755\) −43820.1 52222.8i −0.0768740 0.0916149i
\(756\) 89165.9 599940.i 0.156011 1.04970i
\(757\) 100941. + 572465.i 0.176147 + 0.998982i 0.936811 + 0.349836i \(0.113763\pi\)
−0.760664 + 0.649146i \(0.775126\pi\)
\(758\) −91488.6 + 78896.1i −0.159231 + 0.137315i
\(759\) 378443.i 0.656927i
\(760\) −35341.5 104465.i −0.0611868 0.180860i
\(761\) −598676. −1.03377 −0.516883 0.856056i \(-0.672908\pi\)
−0.516883 + 0.856056i \(0.672908\pi\)
\(762\) 616643. + 715065.i 1.06200 + 1.23150i
\(763\) −1.15309e6 + 203321.i −1.98068 + 0.349247i
\(764\) −557693. 82886.9i −0.955451 0.142004i
\(765\) −28982.5 + 24319.2i −0.0495237 + 0.0415553i
\(766\) −556875. 454611.i −0.949074 0.774786i
\(767\) −636238. 367332.i −1.08151 0.624407i
\(768\) 832371. + 367375.i 1.41122 + 0.622855i
\(769\) 474291. 172628.i 0.802033 0.291916i 0.0917044 0.995786i \(-0.470769\pi\)
0.710329 + 0.703870i \(0.248546\pi\)
\(770\) 264557. + 42976.1i 0.446209 + 0.0724846i
\(771\) 772204.