Properties

Label 32.4.g.a.21.5
Level $32$
Weight $4$
Character 32.21
Analytic conductor $1.888$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 32 = 2^{5} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 32.g (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.88806112018\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(11\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 21.5
Character \(\chi\) \(=\) 32.21
Dual form 32.4.g.a.29.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.755905 - 2.72555i) q^{2} +(-6.06585 + 2.51256i) q^{3} +(-6.85721 + 4.12051i) q^{4} +(-2.91165 + 7.02935i) q^{5} +(11.4333 + 14.6335i) q^{6} +(-13.3899 - 13.3899i) q^{7} +(16.4141 + 15.5749i) q^{8} +(11.3897 - 11.3897i) q^{9} +O(q^{10})\) \(q+(-0.755905 - 2.72555i) q^{2} +(-6.06585 + 2.51256i) q^{3} +(-6.85721 + 4.12051i) q^{4} +(-2.91165 + 7.02935i) q^{5} +(11.4333 + 14.6335i) q^{6} +(-13.3899 - 13.3899i) q^{7} +(16.4141 + 15.5749i) q^{8} +(11.3897 - 11.3897i) q^{9} +(21.3598 + 2.62232i) q^{10} +(-49.6279 - 20.5565i) q^{11} +(31.2418 - 42.2236i) q^{12} +(8.74801 + 21.1196i) q^{13} +(-26.3734 + 46.6165i) q^{14} -49.9547i q^{15} +(30.0428 - 56.5105i) q^{16} -77.7412i q^{17} +(-39.6528 - 22.4337i) q^{18} +(53.3229 + 128.733i) q^{19} +(-8.99870 - 60.1993i) q^{20} +(114.864 + 47.5784i) q^{21} +(-18.5138 + 150.802i) q^{22} +(-35.5116 + 35.5116i) q^{23} +(-138.698 - 53.2340i) q^{24} +(47.4543 + 47.4543i) q^{25} +(50.9497 - 39.8075i) q^{26} +(27.3680 - 66.0722i) q^{27} +(146.991 + 36.6443i) q^{28} +(-245.435 + 101.662i) q^{29} +(-136.154 + 37.7610i) q^{30} -202.613 q^{31} +(-176.731 - 39.1664i) q^{32} +352.685 q^{33} +(-211.887 + 58.7650i) q^{34} +(133.110 - 55.1358i) q^{35} +(-31.1703 + 125.033i) q^{36} +(36.3055 - 87.6493i) q^{37} +(310.561 - 242.644i) q^{38} +(-106.128 - 106.128i) q^{39} +(-157.274 + 70.0314i) q^{40} +(-36.8088 + 36.8088i) q^{41} +(42.8506 - 349.033i) q^{42} +(185.642 + 76.8954i) q^{43} +(425.013 - 63.5317i) q^{44} +(46.8995 + 113.225i) q^{45} +(123.632 + 69.9451i) q^{46} -82.9731i q^{47} +(-40.2491 + 418.268i) q^{48} +15.5815i q^{49} +(93.4679 - 165.210i) q^{50} +(195.329 + 471.567i) q^{51} +(-147.010 - 108.775i) q^{52} +(-534.758 - 221.504i) q^{53} +(-200.770 - 24.6484i) q^{54} +(288.998 - 288.998i) q^{55} +(-11.2357 - 428.331i) q^{56} +(-646.898 - 646.898i) q^{57} +(462.611 + 592.096i) q^{58} +(75.7461 - 182.867i) q^{59} +(205.839 + 342.550i) q^{60} +(-472.240 + 195.608i) q^{61} +(153.157 + 552.232i) q^{62} -305.016 q^{63} +(26.8424 + 511.296i) q^{64} -173.928 q^{65} +(-266.597 - 961.260i) q^{66} +(-102.750 + 42.5604i) q^{67} +(320.333 + 533.088i) q^{68} +(126.183 - 304.633i) q^{69} +(-250.893 - 321.119i) q^{70} +(520.392 + 520.392i) q^{71} +(364.346 - 9.55728i) q^{72} +(244.389 - 244.389i) q^{73} +(-266.336 - 32.6978i) q^{74} +(-407.082 - 168.619i) q^{75} +(-896.092 - 663.031i) q^{76} +(389.264 + 939.766i) q^{77} +(-209.035 + 369.480i) q^{78} +774.758i q^{79} +(309.758 + 375.720i) q^{80} +904.451i q^{81} +(128.148 + 72.5002i) q^{82} +(-23.9166 - 57.7397i) q^{83} +(-983.698 + 147.045i) q^{84} +(546.470 + 226.355i) q^{85} +(69.2543 - 564.101i) q^{86} +(1233.34 - 1233.34i) q^{87} +(-494.428 - 1110.37i) q^{88} +(-351.137 - 351.137i) q^{89} +(273.150 - 213.415i) q^{90} +(165.654 - 399.925i) q^{91} +(97.1846 - 389.837i) q^{92} +(1229.02 - 509.078i) q^{93} +(-226.147 + 62.7198i) q^{94} -1060.17 q^{95} +(1170.43 - 206.470i) q^{96} +1302.03 q^{97} +(42.4681 - 11.7781i) q^{98} +(-799.382 + 331.115i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 4q^{2} - 4q^{3} - 4q^{4} - 4q^{5} - 4q^{6} - 4q^{7} - 4q^{8} - 4q^{9} + O(q^{10}) \) \( 44q - 4q^{2} - 4q^{3} - 4q^{4} - 4q^{5} - 4q^{6} - 4q^{7} - 4q^{8} - 4q^{9} + 116q^{10} - 4q^{11} - 52q^{12} - 4q^{13} - 212q^{14} - 304q^{16} - 184q^{18} - 4q^{19} + 76q^{20} - 4q^{21} + 192q^{22} + 324q^{23} - 48q^{24} - 4q^{25} + 16q^{26} - 268q^{27} + 376q^{28} - 4q^{29} + 1188q^{30} - 752q^{31} + 616q^{32} - 8q^{33} + 528q^{34} - 460q^{35} + 1456q^{36} - 4q^{37} + 980q^{38} + 596q^{39} - 536q^{40} - 4q^{41} - 2264q^{42} + 804q^{43} - 2044q^{44} + 104q^{45} - 1444q^{46} - 2448q^{48} - 3564q^{50} - 1384q^{51} - 2524q^{52} + 748q^{53} - 1088q^{54} - 292q^{55} + 1192q^{56} - 4q^{57} + 3200q^{58} + 1372q^{59} + 5752q^{60} - 1828q^{61} + 3384q^{62} + 2512q^{63} + 4952q^{64} - 8q^{65} + 5996q^{66} + 2036q^{67} + 2768q^{68} - 1060q^{69} + 1400q^{70} + 220q^{71} - 1708q^{72} - 4q^{73} - 3476q^{74} - 1712q^{75} - 5124q^{76} + 1900q^{77} - 11916q^{78} - 10312q^{80} - 6404q^{82} + 2436q^{83} - 6560q^{84} + 496q^{85} - 928q^{86} - 1292q^{87} + 1248q^{88} - 4q^{89} + 7400q^{90} - 3604q^{91} + 10152q^{92} - 112q^{93} + 12840q^{94} - 6088q^{95} + 17792q^{96} - 8q^{97} + 11224q^{98} - 5424q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/32\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(31\)
\(\chi(n)\) \(e\left(\frac{5}{8}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.755905 2.72555i −0.267253 0.963626i
\(3\) −6.06585 + 2.51256i −1.16737 + 0.483542i −0.880324 0.474373i \(-0.842675\pi\)
−0.287050 + 0.957916i \(0.592675\pi\)
\(4\) −6.85721 + 4.12051i −0.857152 + 0.515064i
\(5\) −2.91165 + 7.02935i −0.260426 + 0.628724i −0.998965 0.0454866i \(-0.985516\pi\)
0.738539 + 0.674211i \(0.235516\pi\)
\(6\) 11.4333 + 14.6335i 0.777938 + 0.995684i
\(7\) −13.3899 13.3899i −0.722989 0.722989i 0.246224 0.969213i \(-0.420810\pi\)
−0.969213 + 0.246224i \(0.920810\pi\)
\(8\) 16.4141 + 15.5749i 0.725406 + 0.688322i
\(9\) 11.3897 11.3897i 0.421842 0.421842i
\(10\) 21.3598 + 2.62232i 0.675455 + 0.0829251i
\(11\) −49.6279 20.5565i −1.36031 0.563457i −0.421164 0.906985i \(-0.638378\pi\)
−0.939143 + 0.343527i \(0.888378\pi\)
\(12\) 31.2418 42.2236i 0.751561 1.01574i
\(13\) 8.74801 + 21.1196i 0.186635 + 0.450578i 0.989308 0.145842i \(-0.0465892\pi\)
−0.802672 + 0.596420i \(0.796589\pi\)
\(14\) −26.3734 + 46.6165i −0.503471 + 0.889913i
\(15\) 49.9547i 0.859884i
\(16\) 30.0428 56.5105i 0.469418 0.882976i
\(17\) 77.7412i 1.10912i −0.832144 0.554559i \(-0.812887\pi\)
0.832144 0.554559i \(-0.187113\pi\)
\(18\) −39.6528 22.4337i −0.519237 0.293760i
\(19\) 53.3229 + 128.733i 0.643848 + 1.55439i 0.821447 + 0.570284i \(0.193167\pi\)
−0.177599 + 0.984103i \(0.556833\pi\)
\(20\) −8.99870 60.1993i −0.100609 0.673048i
\(21\) 114.864 + 47.5784i 1.19359 + 0.494403i
\(22\) −18.5138 + 150.802i −0.179417 + 1.46141i
\(23\) −35.5116 + 35.5116i −0.321943 + 0.321943i −0.849512 0.527569i \(-0.823103\pi\)
0.527569 + 0.849512i \(0.323103\pi\)
\(24\) −138.698 53.2340i −1.17965 0.452765i
\(25\) 47.4543 + 47.4543i 0.379634 + 0.379634i
\(26\) 50.9497 39.8075i 0.384310 0.300265i
\(27\) 27.3680 66.0722i 0.195073 0.470948i
\(28\) 146.991 + 36.6443i 0.992097 + 0.247326i
\(29\) −245.435 + 101.662i −1.57159 + 0.650973i −0.987053 0.160395i \(-0.948723\pi\)
−0.584535 + 0.811368i \(0.698723\pi\)
\(30\) −136.154 + 37.7610i −0.828606 + 0.229806i
\(31\) −202.613 −1.17389 −0.586943 0.809629i \(-0.699669\pi\)
−0.586943 + 0.809629i \(0.699669\pi\)
\(32\) −176.731 39.1664i −0.976312 0.216366i
\(33\) 352.685 1.86044
\(34\) −211.887 + 58.7650i −1.06878 + 0.296415i
\(35\) 133.110 55.1358i 0.642846 0.266276i
\(36\) −31.1703 + 125.033i −0.144307 + 0.578858i
\(37\) 36.3055 87.6493i 0.161313 0.389445i −0.822469 0.568809i \(-0.807404\pi\)
0.983783 + 0.179365i \(0.0574042\pi\)
\(38\) 310.561 242.644i 1.32578 1.03584i
\(39\) −106.128 106.128i −0.435747 0.435747i
\(40\) −157.274 + 70.0314i −0.621679 + 0.276823i
\(41\) −36.8088 + 36.8088i −0.140209 + 0.140209i −0.773728 0.633518i \(-0.781610\pi\)
0.633518 + 0.773728i \(0.281610\pi\)
\(42\) 42.8506 349.033i 0.157428 1.28231i
\(43\) 185.642 + 76.8954i 0.658375 + 0.272708i 0.686754 0.726889i \(-0.259035\pi\)
−0.0283797 + 0.999597i \(0.509035\pi\)
\(44\) 425.013 63.5317i 1.45621 0.217676i
\(45\) 46.8995 + 113.225i 0.155364 + 0.375081i
\(46\) 123.632 + 69.9451i 0.396272 + 0.224192i
\(47\) 82.9731i 0.257508i −0.991677 0.128754i \(-0.958902\pi\)
0.991677 0.128754i \(-0.0410977\pi\)
\(48\) −40.2491 + 418.268i −0.121030 + 1.25775i
\(49\) 15.5815i 0.0454271i
\(50\) 93.4679 165.210i 0.264367 0.467284i
\(51\) 195.329 + 471.567i 0.536305 + 1.29476i
\(52\) −147.010 108.775i −0.392051 0.290084i
\(53\) −534.758 221.504i −1.38594 0.574074i −0.439876 0.898059i \(-0.644978\pi\)
−0.946062 + 0.323984i \(0.894978\pi\)
\(54\) −200.770 24.6484i −0.505952 0.0621153i
\(55\) 288.998 288.998i 0.708519 0.708519i
\(56\) −11.2357 428.331i −0.0268113 1.02211i
\(57\) −646.898 646.898i −1.50322 1.50322i
\(58\) 462.611 + 592.096i 1.04731 + 1.34045i
\(59\) 75.7461 182.867i 0.167141 0.403513i −0.818010 0.575204i \(-0.804923\pi\)
0.985151 + 0.171690i \(0.0549228\pi\)
\(60\) 205.839 + 342.550i 0.442895 + 0.737051i
\(61\) −472.240 + 195.608i −0.991216 + 0.410575i −0.818569 0.574409i \(-0.805232\pi\)
−0.172647 + 0.984984i \(0.555232\pi\)
\(62\) 153.157 + 552.232i 0.313724 + 1.13119i
\(63\) −305.016 −0.609975
\(64\) 26.8424 + 511.296i 0.0524265 + 0.998625i
\(65\) −173.928 −0.331894
\(66\) −266.597 961.260i −0.497209 1.79277i
\(67\) −102.750 + 42.5604i −0.187357 + 0.0776057i −0.474389 0.880315i \(-0.657331\pi\)
0.287033 + 0.957921i \(0.407331\pi\)
\(68\) 320.333 + 533.088i 0.571267 + 0.950682i
\(69\) 126.183 304.633i 0.220155 0.531500i
\(70\) −250.893 321.119i −0.428393 0.548301i
\(71\) 520.392 + 520.392i 0.869847 + 0.869847i 0.992455 0.122608i \(-0.0391258\pi\)
−0.122608 + 0.992455i \(0.539126\pi\)
\(72\) 364.346 9.55728i 0.596370 0.0156436i
\(73\) 244.389 244.389i 0.391829 0.391829i −0.483510 0.875339i \(-0.660638\pi\)
0.875339 + 0.483510i \(0.160638\pi\)
\(74\) −266.336 32.6978i −0.418390 0.0513655i
\(75\) −407.082 168.619i −0.626744 0.259606i
\(76\) −896.092 663.031i −1.35248 1.00072i
\(77\) 389.264 + 939.766i 0.576113 + 1.39086i
\(78\) −209.035 + 369.480i −0.303442 + 0.536351i
\(79\) 774.758i 1.10338i 0.834049 + 0.551690i \(0.186017\pi\)
−0.834049 + 0.551690i \(0.813983\pi\)
\(80\) 309.758 + 375.720i 0.432900 + 0.525085i
\(81\) 904.451i 1.24067i
\(82\) 128.148 + 72.5002i 0.172581 + 0.0976379i
\(83\) −23.9166 57.7397i −0.0316287 0.0763585i 0.907276 0.420536i \(-0.138158\pi\)
−0.938905 + 0.344177i \(0.888158\pi\)
\(84\) −983.698 + 147.045i −1.27774 + 0.190999i
\(85\) 546.470 + 226.355i 0.697330 + 0.288843i
\(86\) 69.2543 564.101i 0.0868358 0.707309i
\(87\) 1233.34 1233.34i 1.51986 1.51986i
\(88\) −494.428 1110.37i −0.598934 1.34506i
\(89\) −351.137 351.137i −0.418207 0.418207i 0.466378 0.884585i \(-0.345559\pi\)
−0.884585 + 0.466378i \(0.845559\pi\)
\(90\) 273.150 213.415i 0.319917 0.249954i
\(91\) 165.654 399.925i 0.190827 0.460698i
\(92\) 97.1846 389.837i 0.110133 0.441775i
\(93\) 1229.02 509.078i 1.37036 0.567623i
\(94\) −226.147 + 62.7198i −0.248141 + 0.0688197i
\(95\) −1060.17 −1.14496
\(96\) 1170.43 206.470i 1.24434 0.219508i
\(97\) 1302.03 1.36290 0.681452 0.731863i \(-0.261349\pi\)
0.681452 + 0.731863i \(0.261349\pi\)
\(98\) 42.4681 11.7781i 0.0437747 0.0121405i
\(99\) −799.382 + 331.115i −0.811525 + 0.336145i
\(100\) −520.940 129.868i −0.520940 0.129868i
\(101\) 255.210 616.132i 0.251429 0.607004i −0.746891 0.664947i \(-0.768454\pi\)
0.998320 + 0.0579428i \(0.0184541\pi\)
\(102\) 1137.63 888.839i 1.10433 0.862825i
\(103\) 119.916 + 119.916i 0.114715 + 0.114715i 0.762134 0.647419i \(-0.224152\pi\)
−0.647419 + 0.762134i \(0.724152\pi\)
\(104\) −185.346 + 482.907i −0.174756 + 0.455317i
\(105\) −668.891 + 668.891i −0.621687 + 0.621687i
\(106\) −199.493 + 1624.95i −0.182797 + 1.48895i
\(107\) −659.373 273.121i −0.595738 0.246763i 0.0643789 0.997926i \(-0.479493\pi\)
−0.660117 + 0.751163i \(0.729493\pi\)
\(108\) 84.5830 + 565.841i 0.0753612 + 0.504149i
\(109\) −471.995 1139.50i −0.414761 1.00132i −0.983842 0.179040i \(-0.942701\pi\)
0.569081 0.822281i \(-0.307299\pi\)
\(110\) −1006.13 569.223i −0.872101 0.493394i
\(111\) 622.887i 0.532629i
\(112\) −1158.94 + 354.401i −0.977767 + 0.298998i
\(113\) 832.434i 0.692998i 0.938050 + 0.346499i \(0.112630\pi\)
−0.938050 + 0.346499i \(0.887370\pi\)
\(114\) −1274.16 + 2252.14i −1.04680 + 1.85029i
\(115\) −146.226 353.021i −0.118571 0.286255i
\(116\) 1264.10 1708.44i 1.01180 1.36745i
\(117\) 340.184 + 140.909i 0.268803 + 0.111342i
\(118\) −555.670 68.2192i −0.433505 0.0532210i
\(119\) −1040.95 + 1040.95i −0.801880 + 0.801880i
\(120\) 778.042 819.959i 0.591876 0.623764i
\(121\) 1099.20 + 1099.20i 0.825843 + 0.825843i
\(122\) 890.109 + 1139.25i 0.660546 + 0.845434i
\(123\) 130.793 315.761i 0.0958795 0.231473i
\(124\) 1389.36 834.871i 1.00620 0.604626i
\(125\) −1350.41 + 559.359i −0.966276 + 0.400245i
\(126\) 230.563 + 831.335i 0.163018 + 0.587788i
\(127\) 187.556 0.131046 0.0655232 0.997851i \(-0.479128\pi\)
0.0655232 + 0.997851i \(0.479128\pi\)
\(128\) 1373.27 459.652i 0.948290 0.317405i
\(129\) −1319.28 −0.900435
\(130\) 131.473 + 474.049i 0.0886996 + 0.319822i
\(131\) 1001.26 414.737i 0.667793 0.276609i −0.0229207 0.999737i \(-0.507297\pi\)
0.690714 + 0.723128i \(0.257297\pi\)
\(132\) −2418.44 + 1453.24i −1.59468 + 0.958247i
\(133\) 1009.74 2437.72i 0.658310 1.58930i
\(134\) 193.670 + 247.878i 0.124854 + 0.159801i
\(135\) 384.759 + 384.759i 0.245294 + 0.245294i
\(136\) 1210.81 1276.05i 0.763430 0.804560i
\(137\) −1273.38 + 1273.38i −0.794101 + 0.794101i −0.982158 0.188057i \(-0.939781\pi\)
0.188057 + 0.982158i \(0.439781\pi\)
\(138\) −925.674 113.644i −0.571005 0.0701018i
\(139\) −2129.20 881.945i −1.29926 0.538170i −0.377525 0.925999i \(-0.623225\pi\)
−0.921731 + 0.387830i \(0.873225\pi\)
\(140\) −685.573 + 926.557i −0.413868 + 0.559346i
\(141\) 208.475 + 503.302i 0.124516 + 0.300608i
\(142\) 1024.99 1811.72i 0.605738 1.07068i
\(143\) 1227.95i 0.718085i
\(144\) −301.460 985.818i −0.174456 0.570497i
\(145\) 2021.25i 1.15763i
\(146\) −850.828 481.358i −0.482295 0.272860i
\(147\) −39.1494 94.5150i −0.0219659 0.0530304i
\(148\) 112.205 + 750.627i 0.0623190 + 0.416900i
\(149\) 139.146 + 57.6361i 0.0765051 + 0.0316895i 0.420608 0.907243i \(-0.361817\pi\)
−0.344103 + 0.938932i \(0.611817\pi\)
\(150\) −151.863 + 1236.98i −0.0826639 + 0.673328i
\(151\) −2027.42 + 2027.42i −1.09264 + 1.09264i −0.0973988 + 0.995245i \(0.531052\pi\)
−0.995245 + 0.0973988i \(0.968948\pi\)
\(152\) −1129.76 + 2943.53i −0.602867 + 1.57074i
\(153\) −885.452 885.452i −0.467873 0.467873i
\(154\) 2267.13 1771.33i 1.18630 0.926870i
\(155\) 589.940 1424.24i 0.305710 0.738050i
\(156\) 1165.05 + 290.441i 0.597938 + 0.149064i
\(157\) 816.713 338.294i 0.415164 0.171967i −0.165317 0.986241i \(-0.552865\pi\)
0.580481 + 0.814274i \(0.302865\pi\)
\(158\) 2111.64 585.644i 1.06325 0.294882i
\(159\) 3800.31 1.89550
\(160\) 789.895 1128.27i 0.390292 0.557484i
\(161\) 950.997 0.465522
\(162\) 2465.12 683.679i 1.19555 0.331574i
\(163\) −953.491 + 394.949i −0.458179 + 0.189784i −0.599821 0.800134i \(-0.704762\pi\)
0.141642 + 0.989918i \(0.454762\pi\)
\(164\) 100.735 404.077i 0.0479638 0.192397i
\(165\) −1026.90 + 2479.15i −0.484508 + 1.16971i
\(166\) −139.294 + 108.831i −0.0651282 + 0.0508853i
\(167\) −896.156 896.156i −0.415249 0.415249i 0.468313 0.883563i \(-0.344862\pi\)
−0.883563 + 0.468313i \(0.844862\pi\)
\(168\) 1144.36 + 2569.96i 0.525532 + 1.18022i
\(169\) 1184.01 1184.01i 0.538919 0.538919i
\(170\) 203.862 1660.53i 0.0919737 0.749159i
\(171\) 2073.57 + 858.900i 0.927308 + 0.384104i
\(172\) −1589.83 + 237.651i −0.704789 + 0.105353i
\(173\) −268.247 647.606i −0.117887 0.284604i 0.853911 0.520419i \(-0.174224\pi\)
−0.971798 + 0.235815i \(0.924224\pi\)
\(174\) −4293.81 2429.23i −1.87076 1.05839i
\(175\) 1270.82i 0.548943i
\(176\) −2652.62 + 2186.92i −1.13607 + 0.936621i
\(177\) 1299.56i 0.551870i
\(178\) −691.614 + 1222.47i −0.291228 + 0.514763i
\(179\) 842.440 + 2033.83i 0.351770 + 0.849249i 0.996402 + 0.0847553i \(0.0270109\pi\)
−0.644631 + 0.764494i \(0.722989\pi\)
\(180\) −788.147 583.161i −0.326361 0.241479i
\(181\) 1394.35 + 577.557i 0.572602 + 0.237180i 0.650146 0.759809i \(-0.274708\pi\)
−0.0775438 + 0.996989i \(0.524708\pi\)
\(182\) −1215.23 149.193i −0.494940 0.0607634i
\(183\) 2373.06 2373.06i 0.958589 0.958589i
\(184\) −1135.98 + 29.7982i −0.455139 + 0.0119389i
\(185\) 510.408 + 510.408i 0.202843 + 0.202843i
\(186\) −2316.54 2964.95i −0.913210 1.16882i
\(187\) −1598.09 + 3858.13i −0.624941 + 1.50874i
\(188\) 341.892 + 568.964i 0.132633 + 0.220723i
\(189\) −1251.16 + 518.247i −0.481526 + 0.199455i
\(190\) 801.386 + 2889.53i 0.305993 + 1.10331i
\(191\) 779.721 0.295386 0.147693 0.989033i \(-0.452815\pi\)
0.147693 + 0.989033i \(0.452815\pi\)
\(192\) −1447.48 3034.00i −0.544079 1.14042i
\(193\) −4175.15 −1.55717 −0.778585 0.627539i \(-0.784062\pi\)
−0.778585 + 0.627539i \(0.784062\pi\)
\(194\) −984.215 3548.76i −0.364240 1.31333i
\(195\) 1055.02 437.004i 0.387444 0.160485i
\(196\) −64.2037 106.846i −0.0233978 0.0389379i
\(197\) −1793.41 + 4329.67i −0.648604 + 1.56587i 0.166174 + 0.986096i \(0.446859\pi\)
−0.814778 + 0.579773i \(0.803141\pi\)
\(198\) 1506.73 + 1928.46i 0.540800 + 0.692171i
\(199\) 1333.84 + 1333.84i 0.475144 + 0.475144i 0.903575 0.428431i \(-0.140933\pi\)
−0.428431 + 0.903575i \(0.640933\pi\)
\(200\) 39.8195 + 1518.01i 0.0140783 + 0.536699i
\(201\) 516.330 516.330i 0.181190 0.181190i
\(202\) −1872.21 229.850i −0.652121 0.0800603i
\(203\) 4647.61 + 1925.10i 1.60689 + 0.665595i
\(204\) −3282.51 2428.78i −1.12658 0.833570i
\(205\) −151.568 365.917i −0.0516388 0.124667i
\(206\) 236.192 417.482i 0.0798848 0.141201i
\(207\) 808.935i 0.271618i
\(208\) 1456.29 + 140.136i 0.485459 + 0.0467148i
\(209\) 7484.88i 2.47722i
\(210\) 2328.71 + 1317.48i 0.765221 + 0.432926i
\(211\) −1172.83 2831.46i −0.382658 0.923818i −0.991450 0.130488i \(-0.958346\pi\)
0.608792 0.793330i \(-0.291654\pi\)
\(212\) 4579.66 684.577i 1.48364 0.221778i
\(213\) −4464.13 1849.11i −1.43604 0.594829i
\(214\) −245.981 + 2003.61i −0.0785744 + 0.640017i
\(215\) −1081.05 + 1081.05i −0.342916 + 0.342916i
\(216\) 1478.29 658.257i 0.465671 0.207355i
\(217\) 2712.98 + 2712.98i 0.848707 + 0.848707i
\(218\) −2748.97 + 2147.80i −0.854053 + 0.667280i
\(219\) −868.385 + 2096.47i −0.267945 + 0.646877i
\(220\) −790.903 + 3172.55i −0.242376 + 0.972241i
\(221\) 1641.86 680.080i 0.499744 0.207001i
\(222\) 1697.71 470.844i 0.513256 0.142347i
\(223\) −2462.13 −0.739356 −0.369678 0.929160i \(-0.620532\pi\)
−0.369678 + 0.929160i \(0.620532\pi\)
\(224\) 1841.99 + 2890.86i 0.549433 + 0.862294i
\(225\) 1080.98 0.320291
\(226\) 2268.84 629.241i 0.667791 0.185206i
\(227\) 2912.19 1206.27i 0.851494 0.352700i 0.0861187 0.996285i \(-0.472554\pi\)
0.765375 + 0.643585i \(0.222554\pi\)
\(228\) 7101.47 + 1770.37i 2.06275 + 0.514234i
\(229\) −578.212 + 1395.93i −0.166853 + 0.402819i −0.985085 0.172070i \(-0.944955\pi\)
0.818232 + 0.574889i \(0.194955\pi\)
\(230\) −851.642 + 665.397i −0.244155 + 0.190761i
\(231\) −4722.43 4722.43i −1.34508 1.34508i
\(232\) −5611.96 2153.94i −1.58812 0.609539i
\(233\) 3037.56 3037.56i 0.854065 0.854065i −0.136566 0.990631i \(-0.543607\pi\)
0.990631 + 0.136566i \(0.0436067\pi\)
\(234\) 126.907 1033.70i 0.0354536 0.288782i
\(235\) 583.247 + 241.589i 0.161901 + 0.0670618i
\(236\) 234.099 + 1566.07i 0.0645702 + 0.431960i
\(237\) −1946.62 4699.57i −0.533531 1.28806i
\(238\) 3624.02 + 2050.30i 0.987018 + 0.558408i
\(239\) 68.1814i 0.0184531i −0.999957 0.00922654i \(-0.997063\pi\)
0.999957 0.00922654i \(-0.00293694\pi\)
\(240\) −2822.96 1500.78i −0.759257 0.403645i
\(241\) 6115.20i 1.63450i 0.576282 + 0.817251i \(0.304503\pi\)
−0.576282 + 0.817251i \(0.695497\pi\)
\(242\) 2165.02 3826.80i 0.575095 1.01651i
\(243\) −1533.55 3702.32i −0.404845 0.977382i
\(244\) 2432.25 3287.20i 0.638150 0.862465i
\(245\) −109.528 45.3679i −0.0285611 0.0118304i
\(246\) −959.489 117.796i −0.248678 0.0305300i
\(247\) −2252.31 + 2252.31i −0.580207 + 0.580207i
\(248\) −3325.71 3155.69i −0.851543 0.808011i
\(249\) 290.149 + 290.149i 0.0738451 + 0.0738451i
\(250\) 2545.34 + 3257.79i 0.643927 + 0.824163i
\(251\) 183.755 443.623i 0.0462092 0.111559i −0.899090 0.437765i \(-0.855770\pi\)
0.945299 + 0.326206i \(0.105770\pi\)
\(252\) 2091.56 1256.82i 0.522841 0.314176i
\(253\) 2492.36 1032.37i 0.619341 0.256540i
\(254\) −141.774 511.192i −0.0350225 0.126280i
\(255\) −3883.54 −0.953712
\(256\) −2290.86 3395.46i −0.559293 0.828970i
\(257\) −26.1354 −0.00634350 −0.00317175 0.999995i \(-0.501010\pi\)
−0.00317175 + 0.999995i \(0.501010\pi\)
\(258\) 997.251 + 3595.76i 0.240644 + 0.867683i
\(259\) −1659.75 + 687.490i −0.398192 + 0.164937i
\(260\) 1192.66 716.672i 0.284483 0.170947i
\(261\) −1637.53 + 3953.34i −0.388354 + 0.937570i
\(262\) −1887.25 2415.49i −0.445017 0.569578i
\(263\) −2404.98 2404.98i −0.563869 0.563869i 0.366535 0.930404i \(-0.380544\pi\)
−0.930404 + 0.366535i \(0.880544\pi\)
\(264\) 5788.99 + 5493.05i 1.34957 + 1.28058i
\(265\) 3114.06 3114.06i 0.721869 0.721869i
\(266\) −7407.38 909.398i −1.70743 0.209619i
\(267\) 3012.20 + 1247.69i 0.690425 + 0.285983i
\(268\) 529.207 715.228i 0.120621 0.163020i
\(269\) 3217.65 + 7768.09i 0.729306 + 1.76070i 0.644896 + 0.764270i \(0.276901\pi\)
0.0844104 + 0.996431i \(0.473099\pi\)
\(270\) 757.836 1339.52i 0.170817 0.301928i
\(271\) 4099.60i 0.918941i −0.888193 0.459471i \(-0.848039\pi\)
0.888193 0.459471i \(-0.151961\pi\)
\(272\) −4393.19 2335.56i −0.979325 0.520640i
\(273\) 2842.10i 0.630080i
\(274\) 4433.20 + 2508.09i 0.977442 + 0.552991i
\(275\) −1379.56 3330.55i −0.302511 0.730327i
\(276\) 389.979 + 2608.87i 0.0850507 + 0.568970i
\(277\) −62.6281 25.9414i −0.0135847 0.00562696i 0.375881 0.926668i \(-0.377340\pi\)
−0.389465 + 0.921041i \(0.627340\pi\)
\(278\) −794.306 + 6469.91i −0.171364 + 1.39582i
\(279\) −2307.71 + 2307.71i −0.495194 + 0.495194i
\(280\) 3043.60 + 1168.17i 0.649608 + 0.249327i
\(281\) 371.515 + 371.515i 0.0788709 + 0.0788709i 0.745442 0.666571i \(-0.232239\pi\)
−0.666571 + 0.745442i \(0.732239\pi\)
\(282\) 1214.19 948.657i 0.256396 0.200325i
\(283\) −1150.78 + 2778.24i −0.241721 + 0.583566i −0.997454 0.0713139i \(-0.977281\pi\)
0.755733 + 0.654880i \(0.227281\pi\)
\(284\) −5712.72 1424.16i −1.19362 0.297564i
\(285\) 6430.82 2663.73i 1.33659 0.553634i
\(286\) −3346.83 + 928.212i −0.691966 + 0.191910i
\(287\) 985.737 0.202739
\(288\) −2459.02 + 1566.83i −0.503122 + 0.320577i
\(289\) −1130.69 −0.230143
\(290\) −5509.02 + 1527.88i −1.11552 + 0.309379i
\(291\) −7897.95 + 3271.44i −1.59102 + 0.659021i
\(292\) −668.819 + 2682.83i −0.134040 + 0.537674i
\(293\) 1547.04 3734.89i 0.308461 0.744691i −0.691294 0.722573i \(-0.742959\pi\)
0.999755 0.0221175i \(-0.00704081\pi\)
\(294\) −228.012 + 178.148i −0.0452310 + 0.0353394i
\(295\) 1064.89 + 1064.89i 0.210171 + 0.210171i
\(296\) 1961.05 873.223i 0.385081 0.171470i
\(297\) −2716.43 + 2716.43i −0.530718 + 0.530718i
\(298\) 51.9087 422.816i 0.0100906 0.0821915i
\(299\) −1060.64 439.333i −0.205146 0.0849743i
\(300\) 3486.25 521.131i 0.670928 0.100292i
\(301\) −1456.11 3515.36i −0.278833 0.673163i
\(302\) 7058.37 + 3993.30i 1.34491 + 0.760888i
\(303\) 4378.60i 0.830178i
\(304\) 8876.72 + 854.189i 1.67472 + 0.161155i
\(305\) 3889.09i 0.730126i
\(306\) −1744.02 + 3082.66i −0.325814 + 0.575895i
\(307\) 2115.16 + 5106.46i 0.393221 + 0.949319i 0.989234 + 0.146344i \(0.0467507\pi\)
−0.596013 + 0.802975i \(0.703249\pi\)
\(308\) −6541.58 4840.21i −1.21020 0.895443i
\(309\) −1028.69 426.097i −0.189386 0.0784461i
\(310\) −4327.78 531.318i −0.792907 0.0973446i
\(311\) 3571.19 3571.19i 0.651137 0.651137i −0.302130 0.953267i \(-0.597698\pi\)
0.953267 + 0.302130i \(0.0976976\pi\)
\(312\) −89.0536 3394.94i −0.0161592 0.616027i
\(313\) −304.665 304.665i −0.0550182 0.0550182i 0.679062 0.734081i \(-0.262387\pi\)
−0.734081 + 0.679062i \(0.762387\pi\)
\(314\) −1539.39 1970.27i −0.276666 0.354105i
\(315\) 888.101 2144.07i 0.158853 0.383506i
\(316\) −3192.40 5312.68i −0.568311 0.945764i
\(317\) −6782.93 + 2809.58i −1.20179 + 0.497798i −0.891577 0.452869i \(-0.850400\pi\)
−0.310213 + 0.950667i \(0.600400\pi\)
\(318\) −2872.67 10357.9i −0.506577 1.82655i
\(319\) 14270.2 2.50464
\(320\) −3672.23 1300.03i −0.641513 0.227106i
\(321\) 4685.89 0.814770
\(322\) −718.864 2591.99i −0.124412 0.448589i
\(323\) 10007.8 4145.39i 1.72400 0.714104i
\(324\) −3726.80 6202.01i −0.639026 1.06345i
\(325\) −587.083 + 1417.34i −0.100202 + 0.241908i
\(326\) 1797.20 + 2300.24i 0.305330 + 0.390793i
\(327\) 5726.10 + 5726.10i 0.968362 + 0.968362i
\(328\) −1177.48 + 30.8868i −0.198217 + 0.00519950i
\(329\) −1111.01 + 1111.01i −0.186175 + 0.186175i
\(330\) 7533.27 + 924.854i 1.25664 + 0.154277i
\(331\) −3670.23 1520.26i −0.609468 0.252450i 0.0565331 0.998401i \(-0.481995\pi\)
−0.666001 + 0.745951i \(0.731995\pi\)
\(332\) 401.918 + 297.385i 0.0664401 + 0.0491600i
\(333\) −584.792 1411.81i −0.0962354 0.232333i
\(334\) −1765.11 + 3119.93i −0.289169 + 0.511122i
\(335\) 846.186i 0.138006i
\(336\) 6139.53 5061.66i 0.996841 0.821834i
\(337\) 5082.79i 0.821593i −0.911727 0.410797i \(-0.865251\pi\)
0.911727 0.410797i \(-0.134749\pi\)
\(338\) −4122.06 2332.07i −0.663345 0.375289i
\(339\) −2091.54 5049.42i −0.335094 0.808988i
\(340\) −4679.96 + 699.570i −0.746490 + 0.111587i
\(341\) 10055.3 + 4165.03i 1.59684 + 0.661434i
\(342\) 773.551 6300.85i 0.122307 0.996231i
\(343\) −4384.12 + 4384.12i −0.690146 + 0.690146i
\(344\) 1849.49 + 4153.53i 0.289878 + 0.650997i
\(345\) 1773.97 + 1773.97i 0.276833 + 0.276833i
\(346\) −1562.31 + 1220.65i −0.242747 + 0.189660i
\(347\) −1154.04 + 2786.09i −0.178536 + 0.431023i −0.987660 0.156615i \(-0.949942\pi\)
0.809124 + 0.587638i \(0.199942\pi\)
\(348\) −3375.28 + 13539.2i −0.519925 + 2.08557i
\(349\) −2241.53 + 928.474i −0.343801 + 0.142407i −0.547901 0.836543i \(-0.684573\pi\)
0.204100 + 0.978950i \(0.434573\pi\)
\(350\) −3463.68 + 960.620i −0.528976 + 0.146707i
\(351\) 1634.83 0.248606
\(352\) 7965.68 + 5576.73i 1.20617 + 0.844434i
\(353\) −8284.27 −1.24908 −0.624542 0.780991i \(-0.714715\pi\)
−0.624542 + 0.780991i \(0.714715\pi\)
\(354\) 3542.02 982.346i 0.531797 0.147489i
\(355\) −5173.22 + 2142.82i −0.773425 + 0.320363i
\(356\) 3854.68 + 960.957i 0.573870 + 0.143064i
\(357\) 3698.80 8929.70i 0.548351 1.32384i
\(358\) 4906.49 3833.49i 0.724347 0.565939i
\(359\) 1889.18 + 1889.18i 0.277736 + 0.277736i 0.832205 0.554469i \(-0.187078\pi\)
−0.554469 + 0.832205i \(0.687078\pi\)
\(360\) −993.668 + 2588.95i −0.145475 + 0.379026i
\(361\) −8878.78 + 8878.78i −1.29447 + 1.29447i
\(362\) 520.165 4236.94i 0.0755229 0.615161i
\(363\) −9429.36 3905.77i −1.36340 0.564738i
\(364\) 511.969 + 3424.95i 0.0737210 + 0.493177i
\(365\) 1006.32 + 2429.47i 0.144310 + 0.348395i
\(366\) −8261.70 4674.08i −1.17991 0.667536i
\(367\) 7429.67i 1.05675i −0.849012 0.528373i \(-0.822802\pi\)
0.849012 0.528373i \(-0.177198\pi\)
\(368\) 939.910 + 3073.64i 0.133142 + 0.435393i
\(369\) 838.486i 0.118292i
\(370\) 1005.32 1776.96i 0.141255 0.249675i
\(371\) 4194.46 + 10126.3i 0.586969 + 1.41707i
\(372\) −6330.01 + 8555.06i −0.882247 + 1.19236i
\(373\) 1661.51 + 688.219i 0.230642 + 0.0955351i 0.495012 0.868886i \(-0.335164\pi\)
−0.264369 + 0.964421i \(0.585164\pi\)
\(374\) 11723.5 + 1439.29i 1.62088 + 0.198994i
\(375\) 6785.98 6785.98i 0.934471 0.934471i
\(376\) 1292.30 1361.92i 0.177248 0.186798i
\(377\) −4294.13 4294.13i −0.586628 0.586628i
\(378\) 2358.26 + 3018.35i 0.320889 + 0.410706i
\(379\) 3773.37 9109.72i 0.511412 1.23466i −0.431651 0.902041i \(-0.642069\pi\)
0.943062 0.332616i \(-0.107931\pi\)
\(380\) 7269.79 4368.43i 0.981401 0.589726i
\(381\) −1137.69 + 471.245i −0.152980 + 0.0633664i
\(382\) −589.395 2125.17i −0.0789427 0.284641i
\(383\) −13137.5 −1.75273 −0.876366 0.481646i \(-0.840039\pi\)
−0.876366 + 0.481646i \(0.840039\pi\)
\(384\) −7175.16 + 6238.60i −0.953530 + 0.829069i
\(385\) −7739.35 −1.02450
\(386\) 3156.02 + 11379.6i 0.416158 + 1.50053i
\(387\) 2990.23 1238.59i 0.392770 0.162691i
\(388\) −8928.33 + 5365.05i −1.16821 + 0.701982i
\(389\) 1767.36 4266.78i 0.230357 0.556130i −0.765863 0.643004i \(-0.777688\pi\)
0.996219 + 0.0868742i \(0.0276878\pi\)
\(390\) −1988.57 2545.18i −0.258193 0.330462i
\(391\) 2760.71 + 2760.71i 0.357072 + 0.357072i
\(392\) −242.681 + 255.755i −0.0312684 + 0.0329530i
\(393\) −5031.47 + 5031.47i −0.645812 + 0.645812i
\(394\) 13156.4 + 1615.20i 1.68225 + 0.206529i
\(395\) −5446.04 2255.83i −0.693722 0.287349i
\(396\) 4117.17 5564.39i 0.522464 0.706114i
\(397\) −5649.54 13639.2i −0.714212 1.72426i −0.689197 0.724574i \(-0.742037\pi\)
−0.0250151 0.999687i \(-0.507963\pi\)
\(398\) 2627.19 4643.71i 0.330877 0.584845i
\(399\) 17323.9i 2.17363i
\(400\) 4107.32 1256.01i 0.513415 0.157001i
\(401\) 5422.25i 0.675247i 0.941281 + 0.337624i \(0.109623\pi\)
−0.941281 + 0.337624i \(0.890377\pi\)
\(402\) −1797.58 1016.99i −0.223023 0.126176i
\(403\) −1772.46 4279.11i −0.219089 0.528927i
\(404\) 788.748 + 5276.55i 0.0971329 + 0.649797i
\(405\) −6357.70 2633.45i −0.780042 0.323104i
\(406\) 1733.81 14122.5i 0.211939 1.72632i
\(407\) −3603.53 + 3603.53i −0.438871 + 0.438871i
\(408\) −4138.48 + 10782.6i −0.502169 + 1.30837i
\(409\) −2622.89 2622.89i −0.317099 0.317099i 0.530553 0.847652i \(-0.321984\pi\)
−0.847652 + 0.530553i \(0.821984\pi\)
\(410\) −882.753 + 689.703i −0.106332 + 0.0830781i
\(411\) 4524.68 10923.5i 0.543031 1.31099i
\(412\) −1316.41 328.175i −0.157414 0.0392427i
\(413\) −3462.82 + 1434.35i −0.412577 + 0.170895i
\(414\) 2204.79 611.479i 0.261738 0.0725907i
\(415\) 475.509 0.0562454
\(416\) −718.871 4075.12i −0.0847248 0.480286i
\(417\) 15131.4 1.77695
\(418\) −20400.4 + 5657.86i −2.38712 + 0.662045i
\(419\) −1293.33 + 535.717i −0.150796 + 0.0624617i −0.456805 0.889567i \(-0.651006\pi\)
0.306009 + 0.952029i \(0.401006\pi\)
\(420\) 1830.56 7342.90i 0.212671 0.853088i
\(421\) −871.790 + 2104.69i −0.100923 + 0.243649i −0.966274 0.257517i \(-0.917096\pi\)
0.865351 + 0.501166i \(0.167096\pi\)
\(422\) −6830.72 + 5336.91i −0.787949 + 0.615632i
\(423\) −945.041 945.041i −0.108628 0.108628i
\(424\) −5327.64 11964.6i −0.610219 1.37041i
\(425\) 3689.15 3689.15i 0.421059 0.421059i
\(426\) −1665.36 + 13565.0i −0.189406 + 1.54278i
\(427\) 8942.46 + 3704.09i 1.01348 + 0.419797i
\(428\) 5646.86 844.104i 0.637737 0.0953301i
\(429\) 3085.29 + 7448.55i 0.347224 + 0.838274i
\(430\) 3763.62 + 2129.28i 0.422088 + 0.238798i
\(431\) 5681.29i 0.634938i 0.948269 + 0.317469i \(0.102833\pi\)
−0.948269 + 0.317469i \(0.897167\pi\)
\(432\) −2911.56 3531.57i −0.324265 0.393316i
\(433\) 9616.41i 1.06729i 0.845710 + 0.533643i \(0.179178\pi\)
−0.845710 + 0.533643i \(0.820822\pi\)
\(434\) 5343.60 9445.12i 0.591017 1.04466i
\(435\) 5078.51 + 12260.6i 0.559761 + 1.35138i
\(436\) 7931.88 + 5868.91i 0.871257 + 0.644656i
\(437\) −6465.09 2677.93i −0.707705 0.293141i
\(438\) 6370.44 + 782.094i 0.694957 + 0.0853193i
\(439\) 10175.7 10175.7i 1.10629 1.10629i 0.112657 0.993634i \(-0.464064\pi\)
0.993634 0.112657i \(-0.0359361\pi\)
\(440\) 9244.77 242.502i 1.00165 0.0262747i
\(441\) 177.469 + 177.469i 0.0191630 + 0.0191630i
\(442\) −3094.68 3960.89i −0.333029 0.426245i
\(443\) 925.474 2234.29i 0.0992564 0.239626i −0.866449 0.499265i \(-0.833603\pi\)
0.965706 + 0.259639i \(0.0836035\pi\)
\(444\) −2566.61 4271.27i −0.274338 0.456544i
\(445\) 3490.65 1445.88i 0.371849 0.154025i
\(446\) 1861.14 + 6710.65i 0.197595 + 0.712463i
\(447\) −988.852 −0.104633
\(448\) 6486.81 7205.64i 0.684091 0.759899i
\(449\) 8501.56 0.893571 0.446785 0.894641i \(-0.352569\pi\)
0.446785 + 0.894641i \(0.352569\pi\)
\(450\) −817.121 2946.27i −0.0855988 0.308641i
\(451\) 2583.41 1070.08i 0.269729 0.111726i
\(452\) −3430.05 5708.18i −0.356938 0.594005i
\(453\) 7204.03 17392.1i 0.747185 1.80386i
\(454\) −5489.09 7025.49i −0.567435 0.726262i
\(455\) 2328.89 + 2328.89i 0.239956 + 0.239956i
\(456\) −542.821 20693.6i −0.0557454 2.12515i
\(457\) 7829.53 7829.53i 0.801422 0.801422i −0.181895 0.983318i \(-0.558223\pi\)
0.983318 + 0.181895i \(0.0582232\pi\)
\(458\) 4241.74 + 520.755i 0.432759 + 0.0531295i
\(459\) −5136.53 2127.62i −0.522337 0.216359i
\(460\) 2457.33 + 1818.21i 0.249073 + 0.184293i
\(461\) 4138.96 + 9992.34i 0.418158 + 1.00952i 0.982881 + 0.184241i \(0.0589828\pi\)
−0.564723 + 0.825280i \(0.691017\pi\)
\(462\) −9301.50 + 16440.9i −0.936678 + 1.65563i
\(463\) 13379.7i 1.34300i −0.741004 0.671501i \(-0.765650\pi\)
0.741004 0.671501i \(-0.234350\pi\)
\(464\) −1628.55 + 16923.8i −0.162938 + 1.69325i
\(465\) 10121.5i 1.00940i
\(466\) −10575.1 5982.90i −1.05125 0.594748i
\(467\) 2256.68 + 5448.12i 0.223612 + 0.539848i 0.995375 0.0960626i \(-0.0306249\pi\)
−0.771763 + 0.635910i \(0.780625\pi\)
\(468\) −2913.33 + 435.490i −0.287753 + 0.0430139i
\(469\) 1945.70 + 805.934i 0.191565 + 0.0793488i
\(470\) 217.582 1772.29i 0.0213539 0.173935i
\(471\) −4104.08 + 4104.08i −0.401499 + 0.401499i
\(472\) 4091.45 1821.85i 0.398992 0.177664i
\(473\) −7632.31 7632.31i −0.741932 0.741932i
\(474\) −11337.4 + 8858.04i −1.09862 + 0.858362i
\(475\) −3578.53 + 8639.33i −0.345672 + 0.834525i
\(476\) 2848.77 11427.3i 0.274313 1.10035i
\(477\) −8613.63 + 3567.88i −0.826816 + 0.342478i
\(478\) −185.832 + 51.5387i −0.0177819 + 0.00493164i
\(479\) −15500.6 −1.47858 −0.739289 0.673389i \(-0.764838\pi\)
−0.739289 + 0.673389i \(0.764838\pi\)
\(480\) −1956.55 + 8828.57i −0.186049 + 0.839515i
\(481\) 2168.71 0.205582
\(482\) 16667.3 4622.52i 1.57505 0.436825i
\(483\) −5768.61 + 2389.44i −0.543438 + 0.225100i
\(484\) −12066.7 3008.17i −1.13323 0.282511i
\(485\) −3791.07 + 9152.46i −0.354936 + 0.856891i
\(486\) −8931.62 + 6978.36i −0.833635 + 0.651327i
\(487\) −3384.07 3384.07i −0.314880 0.314880i 0.531917 0.846797i \(-0.321472\pi\)
−0.846797 + 0.531917i \(0.821472\pi\)
\(488\) −10798.0 4144.39i −1.00164 0.384442i
\(489\) 4791.40 4791.40i 0.443098 0.443098i
\(490\) −40.8597 + 332.817i −0.00376704 + 0.0306839i
\(491\) −5913.07 2449.27i −0.543489 0.225121i 0.0940105 0.995571i \(-0.470031\pi\)
−0.637500 + 0.770451i \(0.720031\pi\)
\(492\) 404.225 + 2704.18i 0.0370404 + 0.247792i
\(493\) 7903.35 + 19080.4i 0.722006 + 1.74308i
\(494\) 7841.32 + 4436.25i 0.714165 + 0.404041i
\(495\) 6583.23i 0.597766i
\(496\) −6087.07 + 11449.8i −0.551043 + 1.03651i
\(497\) 13936.0i 1.25778i
\(498\) 571.489 1010.14i 0.0514237 0.0908944i
\(499\) −5163.06 12464.7i −0.463187 1.11823i −0.967081 0.254467i \(-0.918100\pi\)
0.503894 0.863765i \(-0.331900\pi\)
\(500\) 6955.22 9400.03i 0.622094 0.840765i
\(501\) 7687.60 + 3184.31i 0.685542 + 0.283961i
\(502\) −1348.02 165.495i −0.119851 0.0147140i
\(503\) 6921.39 6921.39i 0.613537 0.613537i −0.330329 0.943866i \(-0.607160\pi\)
0.943866 + 0.330329i \(0.107160\pi\)
\(504\) −5006.55 4750.61i −0.442479 0.419859i
\(505\) 3587.93 + 3587.93i 0.316160 + 0.316160i
\(506\) −4697.76 6012.67i −0.412729 0.528253i
\(507\) −4207.12 + 10156.9i −0.368530 + 0.889710i
\(508\) −1286.11 + 772.826i −0.112327 + 0.0674973i
\(509\) 14532.1 6019.39i 1.26547 0.524174i 0.353885 0.935289i \(-0.384860\pi\)
0.911584 + 0.411115i \(0.134860\pi\)
\(510\) 2935.59 + 10584.8i 0.254882 + 0.919022i
\(511\) −6544.71 −0.566577
\(512\) −7522.81 + 8810.51i −0.649345 + 0.760494i
\(513\) 9965.00 0.857633
\(514\) 19.7559 + 71.2332i 0.00169532 + 0.00611277i
\(515\) −1192.09 + 493.779i −0.101999 + 0.0422495i
\(516\) 9046.59 5436.11i 0.771810 0.463782i
\(517\) −1705.64 + 4117.78i −0.145095 + 0.350290i
\(518\) 3128.40 + 4004.04i 0.265355 + 0.339629i
\(519\) 3254.29 + 3254.29i 0.275236 + 0.275236i
\(520\) −2854.86 2708.92i −0.240758 0.228450i
\(521\) −6505.72 + 6505.72i −0.547065 + 0.547065i −0.925591 0.378526i \(-0.876431\pi\)
0.378526 + 0.925591i \(0.376431\pi\)
\(522\) 12012.8 + 1474.81i 1.00726 + 0.123660i
\(523\) 18929.1 + 7840.67i 1.58262 + 0.655543i 0.988826 0.149075i \(-0.0476295\pi\)
0.593794 + 0.804617i \(0.297630\pi\)
\(524\) −5156.95 + 6969.66i −0.429929 + 0.581052i
\(525\) 3193.01 + 7708.61i 0.265437 + 0.640822i
\(526\) −4736.95 + 8372.83i −0.392664 + 0.694055i
\(527\) 15751.4i 1.30198i
\(528\) 10595.6 19930.4i 0.873325 1.64273i
\(529\) 9644.85i 0.792706i
\(530\) −10841.5 6133.59i −0.888534 0.502691i
\(531\) −1220.08 2945.54i −0.0997119 0.240726i
\(532\) 3120.67 + 20876.6i 0.254320 + 1.70134i
\(533\) −1099.39 455.382i −0.0893431 0.0370071i
\(534\) 1123.71 9153.02i 0.0910630 0.741742i
\(535\) 3839.73 3839.73i 0.310292 0.310292i
\(536\) −2349.42 901.735i −0.189327 0.0726660i
\(537\) −10220.2 10220.2i −0.821295 0.821295i
\(538\) 18740.1 14641.8i 1.50175 1.17333i
\(539\) 320.301 773.276i 0.0255962 0.0617947i
\(540\) −4223.77 1052.97i −0.336597 0.0839122i
\(541\) −14495.4 + 6004.19i −1.15195 + 0.477154i −0.875188 0.483783i \(-0.839262\pi\)
−0.276765 + 0.960938i \(0.589262\pi\)
\(542\) −11173.7 + 3098.91i −0.885516 + 0.245590i
\(543\) −9909.05 −0.783127
\(544\) −3044.84 + 13739.3i −0.239975 + 1.08285i
\(545\) 9384.21 0.737569
\(546\) 7746.29 2148.36i 0.607162 0.168391i
\(547\) −17281.4 + 7158.21i −1.35082 + 0.559530i −0.936522 0.350609i \(-0.885975\pi\)
−0.414303 + 0.910139i \(0.635975\pi\)
\(548\) 3484.85 13978.8i 0.271652 1.08968i
\(549\) −3150.76 + 7606.62i −0.244939 + 0.591334i
\(550\) −8034.76 + 6277.64i −0.622915 + 0.486690i
\(551\) −26174.6 26174.6i −2.02373 2.02373i
\(552\) 6815.82 3034.97i 0.525544 0.234016i
\(553\) 10374.0 10374.0i 0.797732 0.797732i
\(554\) −23.3636 + 190.305i −0.00179174 + 0.0145944i
\(555\) −4378.49 1813.63i −0.334877 0.138711i
\(556\) 18234.5 2725.72i 1.39085 0.207907i
\(557\) −3341.04 8065.99i −0.254155 0.613585i 0.744376 0.667761i \(-0.232747\pi\)
−0.998531 + 0.0541753i \(0.982747\pi\)
\(558\) 8034.20 + 4545.37i 0.609524 + 0.344840i
\(559\) 4593.35i 0.347546i
\(560\) 883.230 9178.51i 0.0666487 0.692613i
\(561\) 27418.1i 2.06345i
\(562\) 731.751 1293.41i 0.0549236 0.0970805i
\(563\) 4945.85 + 11940.3i 0.370236 + 0.893828i 0.993710 + 0.111984i \(0.0357206\pi\)
−0.623474 + 0.781844i \(0.714279\pi\)
\(564\) −3503.42 2592.23i −0.261561 0.193533i
\(565\) −5851.47 2423.76i −0.435705 0.180475i
\(566\) 8442.11 + 1036.43i 0.626940 + 0.0769690i
\(567\) 12110.6 12110.6i 0.896994 0.896994i
\(568\) 436.668 + 16646.8i 0.0322573 + 1.22973i
\(569\) −8205.09 8205.09i −0.604526 0.604526i 0.336984 0.941510i \(-0.390593\pi\)
−0.941510 + 0.336984i \(0.890593\pi\)
\(570\) −12121.2 15514.0i −0.890705 1.14001i
\(571\) 4078.90 9847.33i 0.298943 0.721712i −0.701020 0.713141i \(-0.747272\pi\)
0.999963 0.00857103i \(-0.00272828\pi\)
\(572\) 5059.77 + 8420.30i 0.369860 + 0.615508i
\(573\) −4729.67 + 1959.09i −0.344825 + 0.142831i
\(574\) −745.124 2686.67i −0.0541827 0.195365i
\(575\) −3370.35 −0.244441
\(576\) 6129.25 + 5517.80i 0.443378 + 0.399146i
\(577\) −4675.49 −0.337337 −0.168668 0.985673i \(-0.553947\pi\)
−0.168668 + 0.985673i \(0.553947\pi\)
\(578\) 854.696 + 3081.75i 0.0615063 + 0.221772i
\(579\) 25325.8 10490.3i 1.81780 0.752958i
\(580\) 8328.59 + 13860.2i 0.596252 + 0.992261i
\(581\) −452.890 + 1093.37i −0.0323391 + 0.0780736i
\(582\) 14886.6 + 19053.3i 1.06025 + 1.35702i
\(583\) 21985.6 + 21985.6i 1.56183 + 1.56183i
\(584\) 7817.75 205.070i 0.553940 0.0145306i
\(585\) −1980.99 + 1980.99i −0.140007 + 0.140007i
\(586\) −11349.0 1393.31i −0.800041 0.0982204i
\(587\) 3400.03 + 1408.34i 0.239070 + 0.0990260i 0.499002 0.866601i \(-0.333700\pi\)
−0.259932 + 0.965627i \(0.583700\pi\)
\(588\) 657.906 + 486.794i 0.0461421 + 0.0341412i
\(589\) −10803.9 26083.0i −0.755804 1.82467i
\(590\) 2097.46 3707.37i 0.146357 0.258695i
\(591\) 30769.2i 2.14158i
\(592\) −3862.38 4684.87i −0.268147 0.325248i
\(593\) 15975.1i 1.10627i 0.833090 + 0.553137i \(0.186569\pi\)
−0.833090 + 0.553137i \(0.813431\pi\)
\(594\) 9457.13 + 5350.40i 0.653250 + 0.369578i
\(595\) −4286.32 10348.1i −0.295331 0.712993i
\(596\) −1191.64 + 178.129i −0.0818986 + 0.0122424i
\(597\) −11442.3 4739.54i −0.784422 0.324918i
\(598\) −395.677 + 3222.93i −0.0270576 + 0.220394i
\(599\) −14655.9 + 14655.9i −0.999707 + 0.999707i −1.00000 0.000292806i \(-0.999907\pi\)
0.000292806 1.00000i \(0.499907\pi\)
\(600\) −4055.64 9108.00i −0.275951 0.619721i
\(601\) 12665.9 + 12665.9i 0.859656 + 0.859656i 0.991297 0.131641i \(-0.0420247\pi\)
−0.131641 + 0.991297i \(0.542025\pi\)
\(602\) −8480.60 + 6625.98i −0.574158 + 0.448596i
\(603\) −685.542 + 1655.05i −0.0462976 + 0.111772i
\(604\) 5548.45 22256.5i 0.373780 1.49934i
\(605\) −10927.1 + 4526.16i −0.734299 + 0.304156i
\(606\) 11934.1 3309.81i 0.799981 0.221867i
\(607\) 18257.0 1.22080 0.610402 0.792092i \(-0.291008\pi\)
0.610402 + 0.792092i \(0.291008\pi\)
\(608\) −4381.83 24839.6i −0.292281 1.65687i
\(609\) −33028.7 −2.19768
\(610\) −10599.9 + 2939.78i −0.703569 + 0.195128i
\(611\) 1752.35 725.849i 0.116027 0.0480601i
\(612\) 9720.25 + 2423.22i 0.642022 + 0.160054i
\(613\) −2056.78 + 4965.49i −0.135518 + 0.327169i −0.977041 0.213053i \(-0.931659\pi\)
0.841523 + 0.540221i \(0.181659\pi\)
\(614\) 12319.0 9624.98i 0.809700 0.632626i
\(615\) 1838.77 + 1838.77i 0.120564 + 0.120564i
\(616\) −8247.40 + 21488.1i −0.539444 + 1.40549i
\(617\) 2198.69 2198.69i 0.143462 0.143462i −0.631728 0.775190i \(-0.717654\pi\)
0.775190 + 0.631728i \(0.217654\pi\)
\(618\) −383.756 + 3125.83i −0.0249789 + 0.203462i
\(619\) 14373.8 + 5953.83i 0.933331 + 0.386598i 0.796941 0.604057i \(-0.206450\pi\)
0.136390 + 0.990655i \(0.456450\pi\)
\(620\) 1823.26 + 12197.2i 0.118103 + 0.790082i
\(621\) 1374.45 + 3318.21i 0.0888159 + 0.214421i
\(622\) −12432.9 7033.97i −0.801471 0.453435i
\(623\) 9403.41i 0.604719i
\(624\) −9185.74 + 2808.97i −0.589301 + 0.180206i
\(625\) 2732.38i 0.174872i
\(626\) −600.081 + 1060.68i −0.0383132 + 0.0677207i
\(627\) 18806.2 + 45402.2i 1.19784 + 2.89185i
\(628\) −4206.43 + 5685.03i −0.267285 + 0.361238i
\(629\) −6813.96 2822.43i −0.431940 0.178915i
\(630\) −6515.07 799.850i −0.412011 0.0505822i
\(631\) −21029.2 + 21029.2i −1.32672 + 1.32672i −0.418502 + 0.908216i \(0.637445\pi\)
−0.908216 + 0.418502i \(0.862555\pi\)
\(632\) −12066.8 + 12716.9i −0.759481 + 0.800398i
\(633\) 14228.4 + 14228.4i 0.893410 + 0.893410i
\(634\) 12784.9 + 16363.4i 0.800873 + 1.02504i
\(635\) −546.098 + 1318.40i −0.0341279 + 0.0823921i
\(636\) −26059.5 + 15659.2i −1.62473 + 0.976302i
\(637\) −329.074 + 136.307i −0.0204684 + 0.00847830i
\(638\) −10786.9 38894.2i −0.669372 2.41353i
\(639\) 11854.3 0.733876
\(640\) −767.435 + 10991.6i −0.0473993 + 0.678874i
\(641\) 22576.4 1.39113 0.695564 0.718464i \(-0.255155\pi\)
0.695564 + 0.718464i \(0.255155\pi\)
\(642\) −3542.09 12771.6i −0.217750 0.785133i
\(643\) 15365.6 6364.66i 0.942398 0.390354i 0.142029 0.989862i \(-0.454637\pi\)
0.800368 + 0.599509i \(0.204637\pi\)
\(644\) −6521.19 + 3918.59i −0.399023 + 0.239774i
\(645\) 3841.29 9273.69i 0.234497 0.566126i
\(646\) −18863.4 24143.3i −1.14887 1.47044i
\(647\) −2866.06 2866.06i −0.174152 0.174152i 0.614649 0.788801i \(-0.289298\pi\)
−0.788801 + 0.614649i \(0.789298\pi\)
\(648\) −14086.8 + 14845.7i −0.853982 + 0.899991i
\(649\) −7518.24 + 7518.24i −0.454725 + 0.454725i
\(650\) 4306.81 + 528.744i 0.259888 + 0.0319062i
\(651\) −23273.1 9640.03i −1.40114 0.580373i
\(652\) 4910.90 6637.12i 0.294978 0.398665i
\(653\) −1656.18 3998.36i −0.0992514 0.239614i 0.866453 0.499259i \(-0.166394\pi\)
−0.965704 + 0.259645i \(0.916394\pi\)
\(654\) 11278.4 19935.2i 0.674341 1.19194i
\(655\) 8245.81i 0.491894i
\(656\) 974.245 + 3185.92i 0.0579846 + 0.189618i
\(657\) 5567.05i 0.330580i
\(658\) 3867.91 + 2188.28i 0.229159 + 0.129648i
\(659\) −7707.07 18606.5i −0.455576 1.09986i −0.970170 0.242424i \(-0.922057\pi\)
0.514594 0.857434i \(-0.327943\pi\)
\(660\) −3173.71 21231.4i −0.187176 1.25217i
\(661\) 25591.1 + 10600.2i 1.50587 + 0.623751i 0.974700 0.223515i \(-0.0717533\pi\)
0.531168 + 0.847267i \(0.321753\pi\)
\(662\) −1369.19 + 11152.5i −0.0803853 + 0.654767i
\(663\) −8250.53 + 8250.53i −0.483294 + 0.483294i
\(664\) 506.724 1320.24i 0.0296155 0.0771616i
\(665\) 14195.6 + 14195.6i 0.827791 + 0.827791i
\(666\) −3405.91 + 2661.07i −0.198163 + 0.154827i
\(667\) 5105.58 12326.0i 0.296385 0.715537i
\(668\) 9837.76 + 2452.51i 0.569812 + 0.142052i
\(669\) 14934.9 6186.24i 0.863105 0.357510i
\(670\) −2306.32 + 639.637i −0.132986 + 0.0368826i
\(671\) 27457.3 1.57970
\(672\) −18436.7 12907.4i −1.05835 0.740945i
\(673\) −32715.5 −1.87383 −0.936917 0.349553i \(-0.886333\pi\)
−0.936917 + 0.349553i \(0.886333\pi\)
\(674\) −13853.4 + 3842.11i −0.791709 + 0.219573i
\(675\) 4434.14 1836.68i 0.252844 0.104732i
\(676\) −3240.27 + 12997.7i −0.184358 + 0.739513i
\(677\) −249.757 + 602.967i −0.0141786 + 0.0342303i −0.930810 0.365503i \(-0.880897\pi\)
0.916632 + 0.399733i \(0.130897\pi\)
\(678\) −12181.4 + 9517.47i −0.690007 + 0.539110i
\(679\) −17434.2 17434.2i −0.985365 0.985365i
\(680\) 5444.32 + 12226.7i 0.307030 + 0.689516i
\(681\) −14634.1 + 14634.1i −0.823466 + 0.823466i
\(682\) 3751.15 30554.5i 0.210614 1.71553i
\(683\) −1024.16 424.220i −0.0573767 0.0237662i 0.353811 0.935317i \(-0.384886\pi\)
−0.411187 + 0.911551i \(0.634886\pi\)
\(684\) −17758.0 + 2654.50i −0.992682 + 0.148388i
\(685\) −5243.38 12658.6i −0.292466 0.706075i
\(686\) 15263.1 + 8635.14i 0.849486 + 0.480599i
\(687\) 9920.29i 0.550921i
\(688\) 9922.59 8180.56i 0.549847 0.453315i
\(689\) 13231.6i 0.731615i
\(690\) 3494.09 6176.00i 0.192779 0.340748i
\(691\) −6429.36 15521.9i −0.353957 0.854528i −0.996124 0.0879632i \(-0.971964\pi\)
0.642166 0.766565i \(-0.278036\pi\)
\(692\) 4507.89 + 3335.45i 0.247636 + 0.183230i
\(693\) 15137.3 + 6270.08i 0.829753 + 0.343695i
\(694\) 8465.96 + 1039.36i 0.463060 + 0.0568495i
\(695\) 12399.0 12399.0i 0.676721 0.676721i
\(696\) 39453.2 1034.91i 2.14866 0.0563623i
\(697\) 2861.56 + 2861.56i 0.155508 + 0.155508i
\(698\) 4224.99 + 5407.57i 0.229109 + 0.293237i
\(699\) −10793.3 + 26057.4i −0.584037 + 1.40999i
\(700\) 5236.43 + 8714.29i 0.282741 + 0.470527i
\(701\) 20337.8 8424.21i 1.09579 0.453892i 0.239769 0.970830i \(-0.422928\pi\)
0.856023 + 0.516938i \(0.172928\pi\)
\(702\) −1235.78 4455.81i −0.0664407 0.239564i
\(703\) 13219.3 0.709209
\(704\) 9178.35 25926.3i 0.491366 1.38798i
\(705\) −4144.90 −0.221427
\(706\) 6262.12 + 22579.2i 0.333822 + 1.20365i
\(707\) −11667.2 + 4832.72i −0.620638 + 0.257077i
\(708\) −5354.86 8911.37i −0.284249 0.473037i
\(709\) −11697.5 + 28240.4i −0.619620 + 1.49589i 0.232527 + 0.972590i \(0.425301\pi\)
−0.852146 + 0.523304i \(0.824699\pi\)
\(710\) 9750.81 + 12480.1i 0.515411 + 0.659675i
\(711\) 8824.29 + 8824.29i 0.465452 + 0.465452i
\(712\) −294.644 11232.5i −0.0155088 0.591231i
\(713\) 7195.13 7195.13i 0.377924 0.377924i
\(714\) −27134.3 3331.25i −1.42223 0.174606i
\(715\) 8631.68 + 3575.36i 0.451478 + 0.187008i
\(716\) −14157.2 10475.1i −0.738938 0.546751i
\(717\) 171.310 + 413.578i 0.00892284 + 0.0215416i
\(718\) 3721.01 6577.10i 0.193408 0.341860i
\(719\) 2930.75i 0.152015i −0.997107 0.0760074i \(-0.975783\pi\)
0.997107 0.0760074i \(-0.0242173\pi\)
\(720\) 7807.41 + 751.292i 0.404118 + 0.0388875i
\(721\) 3211.34i 0.165876i
\(722\) 30911.1 + 17488.0i 1.59334 + 0.901436i
\(723\) −15364.8 37093.9i −0.790350 1.90807i
\(724\) −11941.2 + 1784.99i −0.612969 + 0.0916278i
\(725\) −16471.2 6822.61i −0.843760 0.349497i
\(726\) −3517.65 + 28652.6i −0.179824 + 1.46473i
\(727\) −11618.1 + 11618.1i −0.592696 + 0.592696i −0.938359 0.345663i \(-0.887654\pi\)
0.345663 + 0.938359i \(0.387654\pi\)
\(728\) 8947.87 3984.34i 0.455536 0.202842i
\(729\) 1336.91 + 1336.91i 0.0679218 + 0.0679218i
\(730\) 5860.95 4579.22i 0.297156 0.232171i
\(731\) 5977.94 14432.0i 0.302465 0.730215i
\(732\) −6494.36 + 26050.8i −0.327922 + 1.31539i
\(733\) 8786.76 3639.59i 0.442764 0.183399i −0.150152 0.988663i \(-0.547976\pi\)
0.592917 + 0.805264i \(0.297976\pi\)
\(734\) −20249.9 + 5616.13i −1.01831 + 0.282419i
\(735\) 778.369 0.0390620
\(736\) 7666.87 4885.15i 0.383974 0.244659i
\(737\) 5974.15 0.298590
\(738\) 2285.33 633.816i 0.113990 0.0316139i
\(739\) −30367.3 + 12578.6i −1.51161 + 0.626130i −0.975890 0.218265i \(-0.929960\pi\)
−0.535721 + 0.844395i \(0.679960\pi\)
\(740\) −5603.12 1396.84i −0.278345 0.0693901i
\(741\) 8003.13 19321.3i 0.396764 0.957874i
\(742\) 24429.1 19086.7i 1.20866 0.944334i
\(743\) 28118.1 + 28118.1i 1.38836 + 1.38836i 0.828765 + 0.559596i \(0.189044\pi\)
0.559596 + 0.828765i \(0.310956\pi\)
\(744\) 28102.1 + 10785.9i 1.38478 + 0.531494i
\(745\) −810.288 + 810.288i −0.0398479 + 0.0398479i
\(746\) 619.830 5048.74i 0.0304204 0.247785i
\(747\) −930.043 385.236i −0.0455535 0.0188689i
\(748\) −4939.03 33041.0i −0.241429 1.61510i
\(749\) 5171.89 + 12486.1i 0.252305 + 0.609119i
\(750\) −23625.1 13365.9i −1.15022 0.650741i
\(751\) 2199.78i 0.106886i 0.998571 + 0.0534428i \(0.0170195\pi\)
−0.998571 + 0.0534428i \(0.982981\pi\)
\(752\) −4688.85 2492.74i −0.227373 0.120879i
\(753\) 3152.65i 0.152575i
\(754\) −8457.89 + 14949.8i −0.408512 + 0.722068i
\(755\) −8348.32 20154.6i −0.402419 0.971525i
\(756\) 6444.02 8709.15i 0.310009 0.418980i
\(757\) 1609.12 + 666.518i 0.0772581 + 0.0320013i 0.420978 0.907071i \(-0.361687\pi\)
−0.343720 + 0.939072i \(0.611687\pi\)
\(758\) −27681.3 3398.41i −1.32642 0.162844i
\(759\) −12524.4 + 12524.4i −0.598955 + 0.598955i
\(760\) −17401.6 16512.0i −0.830558 0.788098i
\(761\) −13159.3 13159.3i −0.626837 0.626837i 0.320434 0.947271i \(-0.396171\pi\)
−0.947271 + 0.320434i \(0.896171\pi\)
\(762\) 2144.38 + 2744.60i 0.101946 + 0.130481i
\(763\) −8937.81 + 21577.8i −0.424077 + 1.02381i
\(764\) −5346.71 + 3212.85i −0.253190 + 0.152142i
\(765\) 8802.28 3646.02i 0.416009 0.172317i
\(766\) 9930.73 + 35807.0i 0.468423 + 1.68898i
\(767\) 4524.70 0.213008
\(768\) 22427.3 + 14840.4i 1.05375 + 0.697276i
\(769\) −13781.4 −0.646253 −0.323127 0.946356i \(-0.604734\pi\)
−0.323127 + 0.946356i \(0.604734\pi\)
\(770\) 5850.22 + 21094.0i 0.273801 + 0.987238i
\(771\) 158.533 65.6667i 0.00740524 0.00306735i
\(772\) 28629.9 17203.8i 1.33473