Properties

Label 74.4.f.a.7.4
Level $74$
Weight $4$
Character 74.7
Analytic conductor $4.366$
Analytic rank $0$
Dimension $24$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.4
Character \(\chi\) \(=\) 74.7
Dual form 74.4.f.a.53.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.87939 - 0.684040i) q^{2} +(6.85178 + 2.49384i) q^{3} +(3.06418 - 2.57115i) q^{4} +(-0.811775 - 4.60380i) q^{5} +14.5830 q^{6} +(-0.602158 - 3.41501i) q^{7} +(4.00000 - 6.92820i) q^{8} +(20.0444 + 16.8192i) q^{9} +O(q^{10})\) \(q+(1.87939 - 0.684040i) q^{2} +(6.85178 + 2.49384i) q^{3} +(3.06418 - 2.57115i) q^{4} +(-0.811775 - 4.60380i) q^{5} +14.5830 q^{6} +(-0.602158 - 3.41501i) q^{7} +(4.00000 - 6.92820i) q^{8} +(20.0444 + 16.8192i) q^{9} +(-4.67483 - 8.09704i) q^{10} +(-13.1138 + 22.7138i) q^{11} +(27.4071 - 9.97537i) q^{12} +(-28.7810 + 24.1502i) q^{13} +(-3.46769 - 6.00622i) q^{14} +(5.91906 - 33.5687i) q^{15} +(2.77837 - 15.7569i) q^{16} +(8.68796 + 7.29007i) q^{17} +(49.1762 + 17.8987i) q^{18} +(-2.89384 - 1.05327i) q^{19} +(-14.3245 - 12.0197i) q^{20} +(4.39064 - 24.9006i) q^{21} +(-9.10878 + 51.6585i) q^{22} +(-59.2395 - 102.606i) q^{23} +(44.6850 - 37.4951i) q^{24} +(96.9255 - 35.2780i) q^{25} +(-37.5710 + 65.0749i) q^{26} +(-3.04018 - 5.26574i) q^{27} +(-10.6256 - 8.91596i) q^{28} +(-105.921 + 183.460i) q^{29} +(-11.8381 - 67.1374i) q^{30} -114.509 q^{31} +(-5.55674 - 31.5138i) q^{32} +(-146.498 + 122.926i) q^{33} +(21.3147 + 7.75793i) q^{34} +(-15.2332 + 5.54444i) q^{35} +104.664 q^{36} +(-185.046 + 128.106i) q^{37} -6.15912 q^{38} +(-257.428 + 93.6961i) q^{39} +(-35.1432 - 12.7911i) q^{40} +(-0.174333 + 0.146282i) q^{41} +(-8.78129 - 49.8012i) q^{42} +176.917 q^{43} +(18.2176 + 103.317i) q^{44} +(61.1610 - 105.934i) q^{45} +(-181.520 - 152.314i) q^{46} +(7.57890 + 13.1270i) q^{47} +(58.3321 - 101.034i) q^{48} +(311.015 - 113.200i) q^{49} +(158.029 - 132.602i) q^{50} +(41.3477 + 71.6163i) q^{51} +(-26.0965 + 148.001i) q^{52} +(107.112 - 607.463i) q^{53} +(-9.31564 - 7.81675i) q^{54} +(115.216 + 41.9350i) q^{55} +(-26.0685 - 9.48816i) q^{56} +(-17.2013 - 14.4336i) q^{57} +(-73.5717 + 417.246i) q^{58} +(-78.1891 + 443.432i) q^{59} +(-68.1731 - 118.079i) q^{60} +(409.698 - 343.778i) q^{61} +(-215.206 + 78.3284i) q^{62} +(45.3680 - 78.5797i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(134.546 + 112.898i) q^{65} +(-191.239 + 331.236i) q^{66} +(34.0336 + 193.014i) q^{67} +45.3653 q^{68} +(-150.013 - 850.766i) q^{69} +(-24.8365 + 20.8403i) q^{70} +(564.740 + 205.549i) q^{71} +(196.705 - 71.5947i) q^{72} +819.427 q^{73} +(-260.143 + 367.339i) q^{74} +752.090 q^{75} +(-11.5754 + 4.21309i) q^{76} +(85.4646 + 31.1066i) q^{77} +(-419.715 + 352.182i) q^{78} +(30.8548 + 174.986i) q^{79} -74.7972 q^{80} +(-130.378 - 739.413i) q^{81} +(-0.227575 + 0.394172i) q^{82} +(100.227 + 84.1003i) q^{83} +(-50.5694 - 87.5888i) q^{84} +(26.5094 - 45.9156i) q^{85} +(332.494 - 121.018i) q^{86} +(-1183.26 + 992.877i) q^{87} +(104.911 + 181.711i) q^{88} +(92.7758 - 526.158i) q^{89} +(42.4820 - 240.927i) q^{90} +(99.8038 + 83.7453i) q^{91} +(-445.335 - 162.089i) q^{92} +(-784.587 - 285.566i) q^{93} +(23.2231 + 19.4865i) q^{94} +(-2.49991 + 14.1777i) q^{95} +(40.5170 - 229.784i) q^{96} +(759.165 + 1314.91i) q^{97} +(507.083 - 425.493i) q^{98} +(-644.889 + 234.720i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q + 6 q^{3} - 9 q^{5} + 36 q^{6} - 75 q^{7} + 96 q^{8} - 48 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q + 6 q^{3} - 9 q^{5} + 36 q^{6} - 75 q^{7} + 96 q^{8} - 48 q^{9} + 6 q^{10} + 87 q^{11} + 24 q^{12} - 45 q^{13} + 6 q^{14} - 141 q^{15} + 120 q^{17} - 192 q^{18} - 177 q^{19} - 36 q^{20} + 159 q^{21} - 42 q^{22} + 45 q^{23} - 48 q^{24} - 321 q^{25} + 150 q^{26} + 435 q^{27} + 96 q^{28} - 153 q^{29} + 282 q^{30} + 1002 q^{31} - 210 q^{33} - 456 q^{34} + 3 q^{35} + 216 q^{36} - 1239 q^{37} + 780 q^{38} - 474 q^{39} - 144 q^{40} - 1437 q^{41} - 318 q^{42} + 504 q^{43} + 84 q^{44} - 171 q^{45} + 714 q^{46} + 396 q^{47} + 144 q^{48} + 399 q^{49} - 1212 q^{50} - 972 q^{51} + 504 q^{52} + 1173 q^{53} + 360 q^{54} + 1755 q^{55} - 408 q^{56} - 3525 q^{57} + 24 q^{58} + 1260 q^{59} - 108 q^{60} + 2946 q^{61} - 1380 q^{62} + 2514 q^{63} - 768 q^{64} + 1599 q^{65} - 252 q^{66} - 645 q^{67} + 1200 q^{68} - 5037 q^{69} - 366 q^{70} - 753 q^{71} - 768 q^{72} - 876 q^{73} - 1338 q^{74} + 6960 q^{75} - 708 q^{76} + 1197 q^{77} - 1590 q^{78} - 3276 q^{79} + 96 q^{80} + 36 q^{81} - 216 q^{82} - 1110 q^{83} + 504 q^{84} + 1992 q^{85} - 192 q^{86} + 1125 q^{87} - 696 q^{88} + 3045 q^{89} + 4590 q^{90} + 5046 q^{91} + 2604 q^{92} - 4917 q^{93} + 78 q^{94} + 2274 q^{95} + 384 q^{96} - 624 q^{97} + 1902 q^{98} - 5904 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.87939 0.684040i 0.664463 0.241845i
\(3\) 6.85178 + 2.49384i 1.31863 + 0.479940i 0.903018 0.429604i \(-0.141347\pi\)
0.415608 + 0.909544i \(0.363569\pi\)
\(4\) 3.06418 2.57115i 0.383022 0.321394i
\(5\) −0.811775 4.60380i −0.0726074 0.411777i −0.999349 0.0360775i \(-0.988514\pi\)
0.926742 0.375699i \(-0.122597\pi\)
\(6\) 14.5830 0.992249
\(7\) −0.602158 3.41501i −0.0325135 0.184393i 0.964226 0.265082i \(-0.0853991\pi\)
−0.996739 + 0.0806889i \(0.974288\pi\)
\(8\) 4.00000 6.92820i 0.176777 0.306186i
\(9\) 20.0444 + 16.8192i 0.742385 + 0.622935i
\(10\) −4.67483 8.09704i −0.147831 0.256051i
\(11\) −13.1138 + 22.7138i −0.359452 + 0.622589i −0.987869 0.155287i \(-0.950370\pi\)
0.628417 + 0.777876i \(0.283703\pi\)
\(12\) 27.4071 9.97537i 0.659313 0.239970i
\(13\) −28.7810 + 24.1502i −0.614033 + 0.515235i −0.895921 0.444212i \(-0.853484\pi\)
0.281889 + 0.959447i \(0.409039\pi\)
\(14\) −3.46769 6.00622i −0.0661985 0.114659i
\(15\) 5.91906 33.5687i 0.101886 0.577826i
\(16\) 2.77837 15.7569i 0.0434120 0.246202i
\(17\) 8.68796 + 7.29007i 0.123949 + 0.104006i 0.702655 0.711530i \(-0.251998\pi\)
−0.578706 + 0.815536i \(0.696442\pi\)
\(18\) 49.1762 + 17.8987i 0.643941 + 0.234375i
\(19\) −2.89384 1.05327i −0.0349417 0.0127177i 0.324490 0.945889i \(-0.394807\pi\)
−0.359432 + 0.933171i \(0.617030\pi\)
\(20\) −14.3245 12.0197i −0.160153 0.134384i
\(21\) 4.39064 24.9006i 0.0456246 0.258750i
\(22\) −9.10878 + 51.6585i −0.0882727 + 0.500619i
\(23\) −59.2395 102.606i −0.537056 0.930209i −0.999061 0.0433310i \(-0.986203\pi\)
0.462005 0.886878i \(-0.347130\pi\)
\(24\) 44.6850 37.4951i 0.380053 0.318903i
\(25\) 96.9255 35.2780i 0.775404 0.282224i
\(26\) −37.5710 + 65.0749i −0.283395 + 0.490855i
\(27\) −3.04018 5.26574i −0.0216697 0.0375330i
\(28\) −10.6256 8.91596i −0.0717162 0.0601771i
\(29\) −105.921 + 183.460i −0.678240 + 1.17475i 0.297270 + 0.954793i \(0.403924\pi\)
−0.975511 + 0.219953i \(0.929410\pi\)
\(30\) −11.8381 67.1374i −0.0720446 0.408585i
\(31\) −114.509 −0.663430 −0.331715 0.943380i \(-0.607627\pi\)
−0.331715 + 0.943380i \(0.607627\pi\)
\(32\) −5.55674 31.5138i −0.0306970 0.174091i
\(33\) −146.498 + 122.926i −0.772788 + 0.648446i
\(34\) 21.3147 + 7.75793i 0.107513 + 0.0391316i
\(35\) −15.2332 + 5.54444i −0.0735681 + 0.0267766i
\(36\) 104.664 0.484557
\(37\) −185.046 + 128.106i −0.822198 + 0.569201i
\(38\) −6.15912 −0.0262932
\(39\) −257.428 + 93.6961i −1.05696 + 0.384702i
\(40\) −35.1432 12.7911i −0.138916 0.0505612i
\(41\) −0.174333 + 0.146282i −0.000664053 + 0.000557207i −0.643120 0.765766i \(-0.722360\pi\)
0.642456 + 0.766323i \(0.277916\pi\)
\(42\) −8.78129 49.8012i −0.0322615 0.182964i
\(43\) 176.917 0.627431 0.313715 0.949517i \(-0.398426\pi\)
0.313715 + 0.949517i \(0.398426\pi\)
\(44\) 18.2176 + 103.317i 0.0624182 + 0.353991i
\(45\) 61.1610 105.934i 0.202608 0.350927i
\(46\) −181.520 152.314i −0.581820 0.488205i
\(47\) 7.57890 + 13.1270i 0.0235212 + 0.0407399i 0.877546 0.479492i \(-0.159179\pi\)
−0.854025 + 0.520232i \(0.825846\pi\)
\(48\) 58.3321 101.034i 0.175406 0.303813i
\(49\) 311.015 113.200i 0.906749 0.330030i
\(50\) 158.029 132.602i 0.446973 0.375055i
\(51\) 41.3477 + 71.6163i 0.113526 + 0.196633i
\(52\) −26.0965 + 148.001i −0.0695950 + 0.394693i
\(53\) 107.112 607.463i 0.277604 1.57437i −0.452965 0.891528i \(-0.649634\pi\)
0.730568 0.682839i \(-0.239255\pi\)
\(54\) −9.31564 7.81675i −0.0234759 0.0196986i
\(55\) 115.216 + 41.9350i 0.282467 + 0.102809i
\(56\) −26.0685 9.48816i −0.0622063 0.0226412i
\(57\) −17.2013 14.4336i −0.0399713 0.0335399i
\(58\) −73.5717 + 417.246i −0.166559 + 0.944604i
\(59\) −78.1891 + 443.432i −0.172531 + 0.978474i 0.768423 + 0.639942i \(0.221042\pi\)
−0.940955 + 0.338533i \(0.890069\pi\)
\(60\) −68.1731 118.079i −0.146685 0.254066i
\(61\) 409.698 343.778i 0.859943 0.721578i −0.102013 0.994783i \(-0.532528\pi\)
0.961956 + 0.273205i \(0.0880839\pi\)
\(62\) −215.206 + 78.3284i −0.440825 + 0.160447i
\(63\) 45.3680 78.5797i 0.0907275 0.157145i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) 134.546 + 112.898i 0.256745 + 0.215435i
\(66\) −191.239 + 331.236i −0.356666 + 0.617763i
\(67\) 34.0336 + 193.014i 0.0620577 + 0.351947i 0.999987 + 0.00511997i \(0.00162974\pi\)
−0.937929 + 0.346827i \(0.887259\pi\)
\(68\) 45.3653 0.0809023
\(69\) −150.013 850.766i −0.261731 1.48435i
\(70\) −24.8365 + 20.8403i −0.0424075 + 0.0355841i
\(71\) 564.740 + 205.549i 0.943977 + 0.343579i 0.767735 0.640768i \(-0.221384\pi\)
0.176242 + 0.984347i \(0.443606\pi\)
\(72\) 196.705 71.5947i 0.321971 0.117188i
\(73\) 819.427 1.31379 0.656895 0.753982i \(-0.271869\pi\)
0.656895 + 0.753982i \(0.271869\pi\)
\(74\) −260.143 + 367.339i −0.408662 + 0.577057i
\(75\) 752.090 1.15792
\(76\) −11.5754 + 4.21309i −0.0174709 + 0.00635887i
\(77\) 85.4646 + 31.1066i 0.126488 + 0.0460380i
\(78\) −419.715 + 352.182i −0.609273 + 0.511241i
\(79\) 30.8548 + 174.986i 0.0439422 + 0.249209i 0.998864 0.0476482i \(-0.0151726\pi\)
−0.954922 + 0.296857i \(0.904062\pi\)
\(80\) −74.7972 −0.104532
\(81\) −130.378 739.413i −0.178846 1.01428i
\(82\) −0.227575 + 0.394172i −0.000306481 + 0.000530841i
\(83\) 100.227 + 84.1003i 0.132546 + 0.111219i 0.706651 0.707563i \(-0.250205\pi\)
−0.574105 + 0.818782i \(0.694650\pi\)
\(84\) −50.5694 87.5888i −0.0656854 0.113770i
\(85\) 26.5094 45.9156i 0.0338276 0.0585911i
\(86\) 332.494 121.018i 0.416904 0.151741i
\(87\) −1183.26 + 992.877i −1.45815 + 1.22354i
\(88\) 104.911 + 181.711i 0.127085 + 0.220119i
\(89\) 92.7758 526.158i 0.110497 0.626659i −0.878385 0.477954i \(-0.841379\pi\)
0.988882 0.148705i \(-0.0475103\pi\)
\(90\) 42.4820 240.927i 0.0497555 0.282177i
\(91\) 99.8038 + 83.7453i 0.114970 + 0.0964714i
\(92\) −445.335 162.089i −0.504668 0.183684i
\(93\) −784.587 285.566i −0.874816 0.318407i
\(94\) 23.2231 + 19.4865i 0.0254817 + 0.0213817i
\(95\) −2.49991 + 14.1777i −0.00269985 + 0.0153116i
\(96\) 40.5170 229.784i 0.0430755 0.244294i
\(97\) 759.165 + 1314.91i 0.794655 + 1.37638i 0.923058 + 0.384661i \(0.125682\pi\)
−0.128403 + 0.991722i \(0.540985\pi\)
\(98\) 507.083 425.493i 0.522685 0.438585i
\(99\) −644.889 + 234.720i −0.654685 + 0.238286i
\(100\) 206.292 357.308i 0.206292 0.357308i
\(101\) −763.472 1322.37i −0.752161 1.30278i −0.946773 0.321901i \(-0.895678\pi\)
0.194612 0.980880i \(-0.437655\pi\)
\(102\) 126.697 + 106.311i 0.122989 + 0.103200i
\(103\) 199.702 345.894i 0.191041 0.330893i −0.754555 0.656237i \(-0.772147\pi\)
0.945595 + 0.325345i \(0.105480\pi\)
\(104\) 52.1931 + 296.002i 0.0492111 + 0.279090i
\(105\) −118.202 −0.109860
\(106\) −214.224 1214.93i −0.196295 1.11325i
\(107\) −1497.36 + 1256.44i −1.35285 + 1.13518i −0.374735 + 0.927132i \(0.622266\pi\)
−0.978119 + 0.208047i \(0.933289\pi\)
\(108\) −22.8547 8.31841i −0.0203629 0.00741148i
\(109\) 1115.92 406.161i 0.980602 0.356910i 0.198528 0.980095i \(-0.436384\pi\)
0.782074 + 0.623185i \(0.214162\pi\)
\(110\) 245.220 0.212553
\(111\) −1587.37 + 416.276i −1.35735 + 0.355957i
\(112\) −55.4831 −0.0468094
\(113\) −1735.22 + 631.570i −1.44457 + 0.525780i −0.941068 0.338216i \(-0.890177\pi\)
−0.503499 + 0.863996i \(0.667954\pi\)
\(114\) −42.2009 15.3599i −0.0346709 0.0126192i
\(115\) −424.288 + 356.020i −0.344044 + 0.288687i
\(116\) 147.143 + 834.491i 0.117775 + 0.667936i
\(117\) −983.086 −0.776807
\(118\) 156.378 + 886.865i 0.121998 + 0.691886i
\(119\) 19.6641 34.0593i 0.0151480 0.0262370i
\(120\) −208.894 175.283i −0.158911 0.133342i
\(121\) 321.554 + 556.948i 0.241588 + 0.418443i
\(122\) 534.823 926.341i 0.396890 0.687434i
\(123\) −1.55929 + 0.567537i −0.00114306 + 0.000416041i
\(124\) −350.874 + 294.419i −0.254109 + 0.213222i
\(125\) −533.271 923.653i −0.381578 0.660912i
\(126\) 31.5123 178.715i 0.0222805 0.126359i
\(127\) −171.810 + 974.383i −0.120045 + 0.680807i 0.864084 + 0.503348i \(0.167899\pi\)
−0.984128 + 0.177459i \(0.943212\pi\)
\(128\) −98.0537 82.2768i −0.0677094 0.0568149i
\(129\) 1212.19 + 441.202i 0.827346 + 0.301129i
\(130\) 330.091 + 120.143i 0.222699 + 0.0810559i
\(131\) −1003.37 841.924i −0.669194 0.561521i 0.243633 0.969868i \(-0.421661\pi\)
−0.912827 + 0.408347i \(0.866105\pi\)
\(132\) −132.834 + 753.336i −0.0875884 + 0.496739i
\(133\) −1.85438 + 10.5167i −0.00120899 + 0.00685651i
\(134\) 195.992 + 339.468i 0.126352 + 0.218847i
\(135\) −21.7745 + 18.2710i −0.0138819 + 0.0116483i
\(136\) 85.2589 31.0317i 0.0537566 0.0195658i
\(137\) 958.638 1660.41i 0.597825 1.03546i −0.395317 0.918545i \(-0.629365\pi\)
0.993142 0.116918i \(-0.0373014\pi\)
\(138\) −863.891 1496.30i −0.532893 0.922998i
\(139\) 1153.42 + 967.833i 0.703825 + 0.590579i 0.922859 0.385138i \(-0.125846\pi\)
−0.219034 + 0.975717i \(0.570291\pi\)
\(140\) −32.4217 + 56.1560i −0.0195724 + 0.0339004i
\(141\) 19.1922 + 108.844i 0.0114629 + 0.0650094i
\(142\) 1201.97 0.710330
\(143\) −171.113 970.430i −0.100064 0.567492i
\(144\) 320.710 269.108i 0.185596 0.155734i
\(145\) 930.597 + 338.710i 0.532978 + 0.193988i
\(146\) 1540.02 560.521i 0.872965 0.317733i
\(147\) 2413.31 1.35406
\(148\) −237.634 + 868.319i −0.131983 + 0.482266i
\(149\) 1325.22 0.728634 0.364317 0.931275i \(-0.381303\pi\)
0.364317 + 0.931275i \(0.381303\pi\)
\(150\) 1413.47 514.460i 0.769394 0.280036i
\(151\) 2955.55 + 1075.73i 1.59284 + 0.579747i 0.977945 0.208861i \(-0.0669755\pi\)
0.614897 + 0.788608i \(0.289198\pi\)
\(152\) −18.8726 + 15.8360i −0.0100709 + 0.00845047i
\(153\) 51.5316 + 292.250i 0.0272293 + 0.154425i
\(154\) 181.899 0.0951808
\(155\) 92.9551 + 527.175i 0.0481699 + 0.273185i
\(156\) −547.898 + 948.988i −0.281199 + 0.487050i
\(157\) −931.199 781.369i −0.473361 0.397197i 0.374658 0.927163i \(-0.377760\pi\)
−0.848019 + 0.529966i \(0.822205\pi\)
\(158\) 177.686 + 307.761i 0.0894678 + 0.154963i
\(159\) 2248.83 3895.08i 1.12166 1.94277i
\(160\) −140.573 + 51.1643i −0.0694578 + 0.0252806i
\(161\) −314.728 + 264.088i −0.154063 + 0.129274i
\(162\) −750.820 1300.46i −0.364136 0.630701i
\(163\) 7.38396 41.8765i 0.00354820 0.0201228i −0.982982 0.183701i \(-0.941192\pi\)
0.986530 + 0.163578i \(0.0523034\pi\)
\(164\) −0.158072 + 0.896471i −7.52643e−5 + 0.000426845i
\(165\) 684.852 + 574.659i 0.323125 + 0.271134i
\(166\) 245.893 + 89.4976i 0.114970 + 0.0418456i
\(167\) −2304.34 838.713i −1.06776 0.388632i −0.252420 0.967618i \(-0.581226\pi\)
−0.815338 + 0.578986i \(0.803449\pi\)
\(168\) −154.954 130.022i −0.0711603 0.0597106i
\(169\) −136.387 + 773.489i −0.0620787 + 0.352066i
\(170\) 18.4132 104.427i 0.00830723 0.0471127i
\(171\) −40.2901 69.7844i −0.0180179 0.0312079i
\(172\) 542.104 454.879i 0.240320 0.201652i
\(173\) −768.158 + 279.587i −0.337584 + 0.122870i −0.505249 0.862974i \(-0.668599\pi\)
0.167665 + 0.985844i \(0.446377\pi\)
\(174\) −1544.64 + 2675.40i −0.672983 + 1.16564i
\(175\) −178.839 309.759i −0.0772513 0.133803i
\(176\) 321.465 + 269.741i 0.137678 + 0.115526i
\(177\) −1641.59 + 2843.31i −0.697114 + 1.20744i
\(178\) −185.552 1052.32i −0.0781330 0.443114i
\(179\) −2925.24 −1.22147 −0.610734 0.791836i \(-0.709126\pi\)
−0.610734 + 0.791836i \(0.709126\pi\)
\(180\) −84.9640 481.855i −0.0351824 0.199530i
\(181\) −3117.56 + 2615.95i −1.28026 + 1.07426i −0.287049 + 0.957916i \(0.592674\pi\)
−0.993209 + 0.116348i \(0.962881\pi\)
\(182\) 244.855 + 89.1199i 0.0997245 + 0.0362967i
\(183\) 3664.49 1333.77i 1.48026 0.538769i
\(184\) −947.832 −0.379756
\(185\) 739.989 + 747.922i 0.294081 + 0.297234i
\(186\) −1669.88 −0.658288
\(187\) −279.518 + 101.736i −0.109307 + 0.0397845i
\(188\) 56.9747 + 20.7371i 0.0221027 + 0.00804472i
\(189\) −16.1519 + 13.5530i −0.00621628 + 0.00521608i
\(190\) 4.99982 + 28.3554i 0.00190908 + 0.0108269i
\(191\) −3737.92 −1.41605 −0.708027 0.706186i \(-0.750414\pi\)
−0.708027 + 0.706186i \(0.750414\pi\)
\(192\) −81.0341 459.567i −0.0304590 0.172742i
\(193\) 1081.94 1873.98i 0.403523 0.698923i −0.590625 0.806946i \(-0.701119\pi\)
0.994148 + 0.108023i \(0.0344521\pi\)
\(194\) 2326.22 + 1951.93i 0.860890 + 0.722373i
\(195\) 640.332 + 1109.09i 0.235155 + 0.407300i
\(196\) 661.950 1146.53i 0.241236 0.417832i
\(197\) −249.314 + 90.7429i −0.0901670 + 0.0328181i −0.386710 0.922201i \(-0.626388\pi\)
0.296543 + 0.955020i \(0.404166\pi\)
\(198\) −1051.44 + 882.260i −0.377386 + 0.316664i
\(199\) −2517.45 4360.35i −0.896770 1.55325i −0.831599 0.555377i \(-0.812574\pi\)
−0.0651714 0.997874i \(-0.520759\pi\)
\(200\) 143.289 812.632i 0.0506603 0.287309i
\(201\) −248.156 + 1407.36i −0.0870826 + 0.493870i
\(202\) −2339.41 1963.00i −0.814854 0.683744i
\(203\) 690.298 + 251.248i 0.238667 + 0.0868677i
\(204\) 310.833 + 113.134i 0.106680 + 0.0388283i
\(205\) 0.814975 + 0.683845i 0.000277660 + 0.000232984i
\(206\) 138.712 786.672i 0.0469150 0.266068i
\(207\) 538.333 3053.04i 0.180757 1.02512i
\(208\) 300.568 + 520.599i 0.100195 + 0.173543i
\(209\) 61.8732 51.9178i 0.0204778 0.0171829i
\(210\) −222.146 + 80.8547i −0.0729979 + 0.0265691i
\(211\) −582.764 + 1009.38i −0.190138 + 0.329329i −0.945296 0.326214i \(-0.894227\pi\)
0.755158 + 0.655543i \(0.227560\pi\)
\(212\) −1233.67 2136.78i −0.399664 0.692238i
\(213\) 3356.87 + 2816.75i 1.07985 + 0.906105i
\(214\) −1954.67 + 3385.58i −0.624384 + 1.08147i
\(215\) −143.616 814.489i −0.0455561 0.258361i
\(216\) −48.6428 −0.0153228
\(217\) 68.9523 + 391.048i 0.0215704 + 0.122332i
\(218\) 1819.41 1526.67i 0.565257 0.474307i
\(219\) 5614.53 + 2043.52i 1.73240 + 0.630541i
\(220\) 460.862 167.740i 0.141233 0.0514047i
\(221\) −426.105 −0.129697
\(222\) −2698.53 + 1868.17i −0.815825 + 0.564789i
\(223\) −978.067 −0.293705 −0.146853 0.989158i \(-0.546914\pi\)
−0.146853 + 0.989158i \(0.546914\pi\)
\(224\) −104.274 + 37.9527i −0.0311031 + 0.0113206i
\(225\) 2536.16 + 923.088i 0.751456 + 0.273508i
\(226\) −2829.14 + 2373.93i −0.832705 + 0.698722i
\(227\) 17.0531 + 96.7128i 0.00498613 + 0.0282778i 0.987199 0.159491i \(-0.0509854\pi\)
−0.982213 + 0.187769i \(0.939874\pi\)
\(228\) −89.8186 −0.0260894
\(229\) −775.289 4396.88i −0.223723 1.26880i −0.865111 0.501580i \(-0.832752\pi\)
0.641388 0.767216i \(-0.278359\pi\)
\(230\) −553.869 + 959.329i −0.158787 + 0.275027i
\(231\) 508.010 + 426.271i 0.144695 + 0.121414i
\(232\) 847.365 + 1467.68i 0.239794 + 0.415335i
\(233\) 968.941 1678.25i 0.272435 0.471872i −0.697050 0.717023i \(-0.745504\pi\)
0.969485 + 0.245151i \(0.0788376\pi\)
\(234\) −1847.60 + 672.471i −0.516159 + 0.187867i
\(235\) 54.2820 45.5480i 0.0150679 0.0126435i
\(236\) 900.546 + 1559.79i 0.248392 + 0.430228i
\(237\) −224.978 + 1275.91i −0.0616620 + 0.349703i
\(238\) 13.6586 77.4615i 0.00371997 0.0210970i
\(239\) 737.215 + 618.597i 0.199525 + 0.167421i 0.737076 0.675810i \(-0.236206\pi\)
−0.537551 + 0.843231i \(0.680650\pi\)
\(240\) −512.494 186.532i −0.137839 0.0501693i
\(241\) −3616.29 1316.22i −0.966580 0.351806i −0.189971 0.981790i \(-0.560840\pi\)
−0.776609 + 0.629983i \(0.783062\pi\)
\(242\) 985.299 + 826.764i 0.261725 + 0.219613i
\(243\) 922.148 5229.76i 0.243440 1.38061i
\(244\) 371.484 2106.79i 0.0974666 0.552761i
\(245\) −773.625 1339.96i −0.201735 0.349416i
\(246\) −2.54230 + 2.13324i −0.000658906 + 0.000552888i
\(247\) 108.724 39.5725i 0.0280080 0.0101941i
\(248\) −458.034 + 793.338i −0.117279 + 0.203133i
\(249\) 476.999 + 826.186i 0.121400 + 0.210271i
\(250\) −1634.04 1371.12i −0.413383 0.346869i
\(251\) −2009.24 + 3480.10i −0.505267 + 0.875148i 0.494715 + 0.869056i \(0.335273\pi\)
−0.999981 + 0.00609240i \(0.998061\pi\)
\(252\) −63.0246 357.430i −0.0157547 0.0893491i
\(253\) 3107.43 0.772184
\(254\) 343.620 + 1948.77i 0.0848844 + 0.481404i
\(255\) 296.143 248.493i 0.0727262 0.0610245i
\(256\) −240.561 87.5572i −0.0587308 0.0213763i
\(257\) −2587.15 + 941.646i −0.627946 + 0.228553i −0.636337 0.771411i \(-0.719551\pi\)
0.00839132 + 0.999965i \(0.497329\pi\)
\(258\) 2579.98 0.622567
\(259\) 548.909 + 554.793i 0.131689 + 0.133101i
\(260\) 702.551 0.167578
\(261\) −5208.77 + 1895.84i −1.23531 + 0.449615i
\(262\) −2461.62 895.956i −0.580456 0.211269i
\(263\) 2769.66 2324.02i 0.649371 0.544887i −0.257509 0.966276i \(-0.582902\pi\)
0.906880 + 0.421389i \(0.138457\pi\)
\(264\) 265.667 + 1506.67i 0.0619344 + 0.351247i
\(265\) −2883.59 −0.668444
\(266\) 3.70877 + 21.0335i 0.000854884 + 0.00484829i
\(267\) 1947.83 3373.75i 0.446463 0.773296i
\(268\) 600.554 + 503.924i 0.136883 + 0.114858i
\(269\) 2041.14 + 3535.35i 0.462640 + 0.801317i 0.999092 0.0426148i \(-0.0135688\pi\)
−0.536451 + 0.843931i \(0.680235\pi\)
\(270\) −28.4246 + 49.2328i −0.00640691 + 0.0110971i
\(271\) −4700.53 + 1710.85i −1.05364 + 0.383494i −0.810036 0.586380i \(-0.800553\pi\)
−0.243606 + 0.969874i \(0.578330\pi\)
\(272\) 139.007 116.641i 0.0309874 0.0260015i
\(273\) 474.986 + 822.699i 0.105302 + 0.182388i
\(274\) 665.863 3776.30i 0.146811 0.832607i
\(275\) −469.767 + 2664.18i −0.103011 + 0.584204i
\(276\) −2647.12 2221.19i −0.577310 0.484421i
\(277\) 598.994 + 218.016i 0.129928 + 0.0472899i 0.406166 0.913799i \(-0.366866\pi\)
−0.276238 + 0.961089i \(0.589088\pi\)
\(278\) 2829.75 + 1029.95i 0.610494 + 0.222202i
\(279\) −2295.25 1925.95i −0.492521 0.413274i
\(280\) −22.5199 + 127.717i −0.00480650 + 0.0272590i
\(281\) 486.641 2759.88i 0.103312 0.585910i −0.888570 0.458742i \(-0.848300\pi\)
0.991881 0.127168i \(-0.0405887\pi\)
\(282\) 110.523 + 191.432i 0.0233389 + 0.0404241i
\(283\) 4042.29 3391.88i 0.849078 0.712461i −0.110508 0.993875i \(-0.535248\pi\)
0.959586 + 0.281414i \(0.0908035\pi\)
\(284\) 2258.96 822.195i 0.471988 0.171790i
\(285\) −52.4858 + 90.9080i −0.0109087 + 0.0188945i
\(286\) −985.400 1706.76i −0.203734 0.352878i
\(287\) 0.604532 + 0.507262i 0.000124336 + 0.000104330i
\(288\) 418.658 725.136i 0.0856585 0.148365i
\(289\) −830.798 4711.69i −0.169102 0.959025i
\(290\) 1980.64 0.401060
\(291\) 1922.45 + 10902.7i 0.387271 + 2.19632i
\(292\) 2510.87 2106.87i 0.503211 0.422244i
\(293\) 7949.20 + 2893.27i 1.58497 + 0.576883i 0.976278 0.216520i \(-0.0694707\pi\)
0.608696 + 0.793404i \(0.291693\pi\)
\(294\) 4535.54 1650.80i 0.899720 0.327471i
\(295\) 2104.95 0.415440
\(296\) 147.359 + 1794.46i 0.0289360 + 0.352367i
\(297\) 159.474 0.0311569
\(298\) 2490.60 906.505i 0.484150 0.176216i
\(299\) 4182.92 + 1522.46i 0.809046 + 0.294469i
\(300\) 2304.54 1933.74i 0.443508 0.372148i
\(301\) −106.532 604.172i −0.0204000 0.115694i
\(302\) 6290.46 1.19859
\(303\) −1933.35 10964.6i −0.366561 2.07887i
\(304\) −24.6365 + 42.6717i −0.00464802 + 0.00805062i
\(305\) −1915.27 1607.10i −0.359567 0.301713i
\(306\) 296.759 + 514.001i 0.0554397 + 0.0960244i
\(307\) −1392.87 + 2412.52i −0.258943 + 0.448502i −0.965959 0.258696i \(-0.916707\pi\)
0.707016 + 0.707197i \(0.250041\pi\)
\(308\) 341.858 124.426i 0.0632441 0.0230190i
\(309\) 2230.92 1871.96i 0.410720 0.344635i
\(310\) 535.307 + 927.180i 0.0980755 + 0.169872i
\(311\) −1695.17 + 9613.77i −0.309081 + 1.75288i 0.294565 + 0.955631i \(0.404825\pi\)
−0.603646 + 0.797253i \(0.706286\pi\)
\(312\) −380.566 + 2158.30i −0.0690555 + 0.391633i
\(313\) 3513.62 + 2948.28i 0.634509 + 0.532417i 0.902327 0.431053i \(-0.141858\pi\)
−0.267817 + 0.963470i \(0.586302\pi\)
\(314\) −2284.57 831.515i −0.410591 0.149443i
\(315\) −398.594 145.076i −0.0712960 0.0259496i
\(316\) 544.461 + 456.857i 0.0969250 + 0.0813298i
\(317\) −717.158 + 4067.21i −0.127065 + 0.720622i 0.852995 + 0.521919i \(0.174784\pi\)
−0.980060 + 0.198702i \(0.936327\pi\)
\(318\) 1562.02 8858.65i 0.275452 1.56216i
\(319\) −2778.05 4811.73i −0.487590 0.844530i
\(320\) −229.192 + 192.315i −0.0400382 + 0.0335960i
\(321\) −13392.9 + 4874.63i −2.32873 + 0.847587i
\(322\) −410.849 + 711.611i −0.0711047 + 0.123157i
\(323\) −17.4632 30.2471i −0.00300829 0.00521050i
\(324\) −2300.65 1930.47i −0.394487 0.331013i
\(325\) −1937.65 + 3356.11i −0.330712 + 0.572810i
\(326\) −14.7679 83.7530i −0.00250895 0.0142290i
\(327\) 8658.93 1.46434
\(328\) 0.316144 + 1.79294i 5.32199e−5 + 0.000301825i
\(329\) 40.2653 33.7866i 0.00674741 0.00566175i
\(330\) 1680.19 + 611.539i 0.280277 + 0.102013i
\(331\) −3280.00 + 1193.82i −0.544669 + 0.198243i −0.599676 0.800243i \(-0.704704\pi\)
0.0550076 + 0.998486i \(0.482482\pi\)
\(332\) 523.347 0.0865133
\(333\) −5863.77 544.530i −0.964963 0.0896099i
\(334\) −4904.46 −0.803474
\(335\) 860.972 313.368i 0.140418 0.0511079i
\(336\) −380.158 138.366i −0.0617241 0.0224657i
\(337\) 5226.17 4385.28i 0.844770 0.708847i −0.113861 0.993497i \(-0.536322\pi\)
0.958631 + 0.284650i \(0.0918774\pi\)
\(338\) 272.774 + 1546.98i 0.0438963 + 0.248948i
\(339\) −13464.4 −2.15719
\(340\) −36.8264 208.853i −0.00587410 0.0333137i
\(341\) 1501.65 2600.93i 0.238471 0.413045i
\(342\) −123.456 103.592i −0.0195197 0.0163790i
\(343\) −1168.57 2024.02i −0.183956 0.318621i
\(344\) 707.666 1225.71i 0.110915 0.192111i
\(345\) −3794.99 + 1381.26i −0.592218 + 0.215550i
\(346\) −1252.42 + 1050.90i −0.194596 + 0.163286i
\(347\) −326.062 564.755i −0.0504435 0.0873708i 0.839701 0.543049i \(-0.182730\pi\)
−0.890145 + 0.455678i \(0.849397\pi\)
\(348\) −1072.90 + 6084.70i −0.165268 + 0.937282i
\(349\) −1330.32 + 7544.62i −0.204041 + 1.15718i 0.694900 + 0.719107i \(0.255449\pi\)
−0.898941 + 0.438069i \(0.855662\pi\)
\(350\) −547.995 459.823i −0.0836902 0.0702244i
\(351\) 214.668 + 78.1327i 0.0326442 + 0.0118815i
\(352\) 788.671 + 287.053i 0.119421 + 0.0434658i
\(353\) 4053.63 + 3401.40i 0.611198 + 0.512856i 0.895023 0.446020i \(-0.147159\pi\)
−0.283825 + 0.958876i \(0.591604\pi\)
\(354\) −1140.23 + 6466.58i −0.171194 + 0.970890i
\(355\) 487.864 2766.81i 0.0729384 0.413654i
\(356\) −1068.55 1850.78i −0.159081 0.275537i
\(357\) 219.673 184.327i 0.0325667 0.0273267i
\(358\) −5497.66 + 2000.98i −0.811621 + 0.295406i
\(359\) 2426.60 4203.00i 0.356744 0.617899i −0.630671 0.776051i \(-0.717220\pi\)
0.987415 + 0.158151i \(0.0505534\pi\)
\(360\) −489.288 847.472i −0.0716326 0.124071i
\(361\) −5247.03 4402.78i −0.764985 0.641899i
\(362\) −4069.69 + 7048.91i −0.590879 + 1.02343i
\(363\) 814.276 + 4617.99i 0.117737 + 0.667718i
\(364\) 521.138 0.0750414
\(365\) −665.191 3772.48i −0.0953909 0.540989i
\(366\) 5974.64 5013.32i 0.853277 0.715985i
\(367\) −9394.17 3419.20i −1.33616 0.486323i −0.427561 0.903987i \(-0.640627\pi\)
−0.908602 + 0.417663i \(0.862849\pi\)
\(368\) −1781.34 + 648.355i −0.252334 + 0.0918420i
\(369\) −5.95475 −0.000840087
\(370\) 1902.33 + 899.451i 0.267291 + 0.126379i
\(371\) −2138.99 −0.299329
\(372\) −3138.35 + 1142.27i −0.437408 + 0.159203i
\(373\) 3825.60 + 1392.40i 0.531051 + 0.193287i 0.593607 0.804755i \(-0.297703\pi\)
−0.0625567 + 0.998041i \(0.519925\pi\)
\(374\) −455.730 + 382.403i −0.0630087 + 0.0528706i
\(375\) −1350.41 7658.56i −0.185960 1.05463i
\(376\) 121.262 0.0166320
\(377\) −1382.08 7838.17i −0.188808 1.07079i
\(378\) −21.0848 + 36.5199i −0.00286901 + 0.00496927i
\(379\) 11182.0 + 9382.85i 1.51552 + 1.27167i 0.852032 + 0.523489i \(0.175370\pi\)
0.663490 + 0.748185i \(0.269074\pi\)
\(380\) 28.7928 + 49.8706i 0.00388695 + 0.00673239i
\(381\) −3607.16 + 6247.79i −0.485041 + 0.840115i
\(382\) −7024.99 + 2556.89i −0.940915 + 0.342465i
\(383\) 1818.24 1525.69i 0.242579 0.203548i −0.513390 0.858156i \(-0.671610\pi\)
0.755969 + 0.654607i \(0.227166\pi\)
\(384\) −466.657 808.273i −0.0620155 0.107414i
\(385\) 73.8306 418.714i 0.00977339 0.0554276i
\(386\) 751.510 4262.03i 0.0990955 0.561998i
\(387\) 3546.19 + 2975.60i 0.465795 + 0.390849i
\(388\) 5707.06 + 2077.20i 0.746732 + 0.271788i
\(389\) 6052.63 + 2202.98i 0.788895 + 0.287134i 0.704877 0.709330i \(-0.251002\pi\)
0.0840186 + 0.996464i \(0.473224\pi\)
\(390\) 1962.09 + 1646.39i 0.254755 + 0.213765i
\(391\) 233.333 1323.30i 0.0301794 0.171156i
\(392\) 459.786 2607.57i 0.0592416 0.335976i
\(393\) −4775.21 8270.91i −0.612920 1.06161i
\(394\) −406.485 + 341.082i −0.0519757 + 0.0436128i
\(395\) 780.556 284.099i 0.0994279 0.0361888i
\(396\) −1372.55 + 2377.33i −0.174175 + 0.301680i
\(397\) −997.838 1728.31i −0.126146 0.218492i 0.796034 0.605252i \(-0.206928\pi\)
−0.922180 + 0.386760i \(0.873594\pi\)
\(398\) −7713.91 6472.74i −0.971516 0.815199i
\(399\) −38.9329 + 67.4338i −0.00488492 + 0.00846093i
\(400\) −286.578 1625.26i −0.0358222 0.203158i
\(401\) 10497.3 1.30726 0.653631 0.756814i \(-0.273245\pi\)
0.653631 + 0.756814i \(0.273245\pi\)
\(402\) 496.313 + 2814.73i 0.0615767 + 0.349219i
\(403\) 3295.67 2765.40i 0.407368 0.341822i
\(404\) −5739.43 2088.98i −0.706800 0.257254i
\(405\) −3298.28 + 1200.47i −0.404673 + 0.147289i
\(406\) 1469.20 0.179594
\(407\) −483.110 5883.06i −0.0588375 0.716492i
\(408\) 661.563 0.0802752
\(409\) −14600.4 + 5314.12i −1.76515 + 0.642461i −0.999999 0.00139549i \(-0.999556\pi\)
−0.765147 + 0.643856i \(0.777334\pi\)
\(410\) 1.99943 + 0.727733i 0.000240841 + 8.76589e-5i
\(411\) 10709.2 8986.07i 1.28527 1.07847i
\(412\) −277.423 1573.34i −0.0331739 0.188139i
\(413\) 1561.41 0.186034
\(414\) −1076.67 6106.07i −0.127815 0.724872i
\(415\) 305.820 529.695i 0.0361737 0.0626547i
\(416\) 920.993 + 772.805i 0.108547 + 0.0910815i
\(417\) 5489.34 + 9507.82i 0.644638 + 1.11655i
\(418\) 80.7698 139.897i 0.00945114 0.0163699i
\(419\) −13687.9 + 4981.99i −1.59594 + 0.580874i −0.978591 0.205816i \(-0.934015\pi\)
−0.617348 + 0.786690i \(0.711793\pi\)
\(420\) −362.191 + 303.914i −0.0420788 + 0.0353083i
\(421\) 3793.84 + 6571.13i 0.439194 + 0.760706i 0.997628 0.0688430i \(-0.0219307\pi\)
−0.558434 + 0.829549i \(0.688597\pi\)
\(422\) −404.784 + 2295.64i −0.0466933 + 0.264811i
\(423\) −68.8724 + 390.595i −0.00791653 + 0.0448969i
\(424\) −3780.18 3171.95i −0.432976 0.363310i
\(425\) 1099.26 + 400.100i 0.125464 + 0.0456651i
\(426\) 8235.62 + 2997.52i 0.936660 + 0.340916i
\(427\) −1420.71 1192.12i −0.161014 0.135107i
\(428\) −1357.70 + 7699.88i −0.153334 + 0.869598i
\(429\) 1247.67 7075.90i 0.140415 0.796334i
\(430\) −827.054 1432.50i −0.0927537 0.160654i
\(431\) −2014.39 + 1690.28i −0.225128 + 0.188904i −0.748374 0.663277i \(-0.769165\pi\)
0.523246 + 0.852181i \(0.324721\pi\)
\(432\) −91.4186 + 33.2737i −0.0101814 + 0.00370574i
\(433\) 2218.86 3843.18i 0.246263 0.426539i −0.716223 0.697871i \(-0.754131\pi\)
0.962486 + 0.271332i \(0.0874641\pi\)
\(434\) 397.080 + 687.763i 0.0439181 + 0.0760684i
\(435\) 5531.55 + 4641.53i 0.609696 + 0.511596i
\(436\) 2375.07 4113.74i 0.260884 0.451864i
\(437\) 63.3579 + 359.320i 0.00693551 + 0.0393332i
\(438\) 11949.7 1.30361
\(439\) 941.637 + 5340.29i 0.102373 + 0.580588i 0.992237 + 0.124361i \(0.0396882\pi\)
−0.889864 + 0.456227i \(0.849201\pi\)
\(440\) 751.397 630.497i 0.0814124 0.0683131i
\(441\) 8138.05 + 2962.01i 0.878744 + 0.319837i
\(442\) −800.816 + 291.473i −0.0861785 + 0.0313664i
\(443\) 3646.76 0.391113 0.195556 0.980692i \(-0.437349\pi\)
0.195556 + 0.980692i \(0.437349\pi\)
\(444\) −3793.67 + 5356.91i −0.405494 + 0.572584i
\(445\) −2497.64 −0.266066
\(446\) −1838.16 + 669.037i −0.195156 + 0.0710310i
\(447\) 9080.12 + 3304.89i 0.960794 + 0.349701i
\(448\) −170.010 + 142.655i −0.0179291 + 0.0150443i
\(449\) −1728.64 9803.61i −0.181692 1.03043i −0.930133 0.367224i \(-0.880308\pi\)
0.748441 0.663202i \(-0.230803\pi\)
\(450\) 5397.86 0.565461
\(451\) −1.03647 5.87809i −0.000108216 0.000613722i
\(452\) −3693.17 + 6396.76i −0.384319 + 0.665660i
\(453\) 17568.1 + 14741.3i 1.82212 + 1.52894i
\(454\) 98.2048 + 170.096i 0.0101519 + 0.0175837i
\(455\) 304.529 527.460i 0.0313770 0.0543466i
\(456\) −168.804 + 61.4395i −0.0173354 + 0.00630958i
\(457\) 11840.8 9935.61i 1.21201 1.01700i 0.212807 0.977094i \(-0.431739\pi\)
0.999204 0.0399038i \(-0.0127051\pi\)
\(458\) −4464.71 7733.11i −0.455507 0.788962i
\(459\) 11.9747 67.9117i 0.00121771 0.00690598i
\(460\) −384.713 + 2181.82i −0.0389942 + 0.221147i
\(461\) 2649.64 + 2223.31i 0.267692 + 0.224621i 0.766746 0.641950i \(-0.221875\pi\)
−0.499054 + 0.866571i \(0.666319\pi\)
\(462\) 1246.33 + 453.628i 0.125508 + 0.0456811i
\(463\) −5613.29 2043.07i −0.563438 0.205075i 0.0445689 0.999006i \(-0.485809\pi\)
−0.608007 + 0.793932i \(0.708031\pi\)
\(464\) 2596.48 + 2178.70i 0.259781 + 0.217982i
\(465\) −677.783 + 3843.90i −0.0675945 + 0.383348i
\(466\) 673.019 3816.88i 0.0669034 0.379428i
\(467\) −4448.48 7704.99i −0.440795 0.763479i 0.556954 0.830543i \(-0.311970\pi\)
−0.997749 + 0.0670646i \(0.978637\pi\)
\(468\) −3012.35 + 2527.66i −0.297534 + 0.249661i
\(469\) 638.652 232.450i 0.0628789 0.0228860i
\(470\) 70.8601 122.733i 0.00695432 0.0120452i
\(471\) −4431.76 7676.03i −0.433555 0.750940i
\(472\) 2759.43 + 2315.44i 0.269096 + 0.225798i
\(473\) −2320.06 + 4018.45i −0.225531 + 0.390632i
\(474\) 449.956 + 2551.83i 0.0436016 + 0.247277i
\(475\) −317.644 −0.0306832
\(476\) −27.3171 154.923i −0.00263042 0.0149178i
\(477\) 12364.1 10374.7i 1.18682 0.995858i
\(478\) 1808.66 + 658.297i 0.173067 + 0.0629912i
\(479\) −13727.2 + 4996.29i −1.30942 + 0.476590i −0.900053 0.435780i \(-0.856472\pi\)
−0.409366 + 0.912370i \(0.634250\pi\)
\(480\) −1090.77 −0.103722
\(481\) 2232.04 8155.90i 0.211585 0.773133i
\(482\) −7696.75 −0.727339
\(483\) −2815.04 + 1024.59i −0.265194 + 0.0965229i
\(484\) 2417.30 + 879.824i 0.227019 + 0.0826281i
\(485\) 5437.33 4562.46i 0.509065 0.427156i
\(486\) −1844.30 10459.5i −0.172138 0.976242i
\(487\) 6726.81 0.625916 0.312958 0.949767i \(-0.398680\pi\)
0.312958 + 0.949767i \(0.398680\pi\)
\(488\) −742.969 4213.59i −0.0689193 0.390861i
\(489\) 155.027 268.514i 0.0143365 0.0248315i
\(490\) −2370.53 1989.11i −0.218550 0.183385i
\(491\) 6270.72 + 10861.2i 0.576361 + 0.998287i 0.995892 + 0.0905461i \(0.0288612\pi\)
−0.419531 + 0.907741i \(0.637805\pi\)
\(492\) −3.31873 + 5.74821i −0.000304106 + 0.000526726i
\(493\) −2257.67 + 821.724i −0.206248 + 0.0750682i
\(494\) 177.266 148.744i 0.0161449 0.0135472i
\(495\) 1604.11 + 2778.40i 0.145655 + 0.252283i
\(496\) −318.147 + 1804.30i −0.0288009 + 0.163338i
\(497\) 361.888 2052.37i 0.0326617 0.185234i
\(498\) 1461.61 + 1226.44i 0.131519 + 0.110357i
\(499\) 11000.4 + 4003.83i 0.986867 + 0.359190i 0.784506 0.620121i \(-0.212916\pi\)
0.202361 + 0.979311i \(0.435139\pi\)
\(500\) −4008.89 1459.12i −0.358566 0.130507i
\(501\) −13697.2 11493.3i −1.22145 1.02492i
\(502\) −1395.60 + 7914.85i −0.124081 + 0.703700i
\(503\) 1452.42 8237.06i 0.128748 0.730164i −0.850264 0.526357i \(-0.823557\pi\)
0.979011 0.203807i \(-0.0653314\pi\)
\(504\) −362.944 628.637i −0.0320770 0.0555590i
\(505\) −5468.17 + 4588.34i −0.481843 + 0.404314i
\(506\) 5840.06 2125.61i 0.513088 0.186749i
\(507\) −2863.45 + 4959.64i −0.250829 + 0.434449i
\(508\) 1978.83 + 3427.43i 0.172827 + 0.299346i
\(509\) −9657.34 8103.47i −0.840971 0.705658i 0.116811 0.993154i \(-0.462733\pi\)
−0.957782 + 0.287496i \(0.907177\pi\)
\(510\) 386.587 669.588i 0.0335654 0.0581370i
\(511\) −493.425 2798.35i −0.0427159 0.242254i
\(512\) −512.000 −0.0441942
\(513\) 3.25153 + 18.4403i 0.000279841 + 0.00158706i
\(514\) −4218.13 + 3539.43i −0.361972 + 0.303731i
\(515\) −1754.54 638.601i −0.150125 0.0546410i
\(516\) 4848.77 1764.81i 0.413673 0.150565i
\(517\) −397.554 −0.0338190
\(518\) 1411.11 + 667.195i 0.119692 + 0.0565924i
\(519\) −5960.49 −0.504117
\(520\) 1320.36 480.573i 0.111350 0.0405280i
\(521\) −731.485 266.239i −0.0615105 0.0223880i 0.311082 0.950383i \(-0.399309\pi\)
−0.372592 + 0.927995i \(0.621531\pi\)
\(522\) −8492.46 + 7126.02i −0.712078 + 0.597505i
\(523\) 238.001 + 1349.77i 0.0198987 + 0.112851i 0.993139 0.116937i \(-0.0373076\pi\)
−0.973241 + 0.229789i \(0.926197\pi\)
\(524\) −5239.20 −0.436786
\(525\) −452.877 2568.39i −0.0376480 0.213512i
\(526\) 3615.53 6262.29i 0.299705 0.519104i
\(527\) −994.846 834.775i −0.0822318 0.0690007i
\(528\) 1529.92 + 2649.89i 0.126100 + 0.218412i
\(529\) −935.139 + 1619.71i −0.0768586 + 0.133123i
\(530\) −5419.38 + 1972.49i −0.444156 + 0.161660i
\(531\) −9025.45 + 7573.26i −0.737611 + 0.618929i
\(532\) 21.3579 + 36.9930i 0.00174057 + 0.00301476i
\(533\) 1.48473 8.42032i 0.000120658 0.000684287i
\(534\) 1352.95 7672.97i 0.109640 0.621801i
\(535\) 6999.90 + 5873.62i 0.565668 + 0.474652i
\(536\) 1473.38 + 536.265i 0.118732 + 0.0432148i
\(537\) −20043.1 7295.09i −1.61066 0.586232i
\(538\) 6254.40 + 5248.07i 0.501202 + 0.420558i
\(539\) −1507.39 + 8548.83i −0.120460 + 0.683162i
\(540\) −19.7435 + 111.971i −0.00157338 + 0.00892309i
\(541\) −3287.38 5693.92i −0.261249 0.452496i 0.705325 0.708884i \(-0.250801\pi\)
−0.966574 + 0.256388i \(0.917468\pi\)
\(542\) −7663.82 + 6430.71i −0.607360 + 0.509636i
\(543\) −27884.6 + 10149.2i −2.20376 + 0.802104i
\(544\) 181.461 314.300i 0.0143016 0.0247712i
\(545\) −2775.76 4807.76i −0.218166 0.377875i
\(546\) 1455.44 + 1221.26i 0.114079 + 0.0957236i
\(547\) −9001.52 + 15591.1i −0.703615 + 1.21870i 0.263574 + 0.964639i \(0.415099\pi\)
−0.967189 + 0.254058i \(0.918235\pi\)
\(548\) −1331.73 7552.59i −0.103811 0.588742i
\(549\) 13994.2 1.08790
\(550\) 939.534 + 5328.36i 0.0728398 + 0.413095i
\(551\) 499.750 419.340i 0.0386390 0.0324220i
\(552\) −6494.33 2363.74i −0.500756 0.182260i
\(553\) 579.000 210.739i 0.0445237 0.0162053i
\(554\) 1274.87 0.0977692
\(555\) 3205.04 + 6970.01i 0.245129 + 0.533082i
\(556\) 6022.72 0.459389
\(557\) −9398.50 + 3420.77i −0.714950 + 0.260221i −0.673780 0.738932i \(-0.735331\pi\)
−0.0411697 + 0.999152i \(0.513108\pi\)
\(558\) −5631.09 2049.55i −0.427210 0.155492i
\(559\) −5091.84 + 4272.56i −0.385263 + 0.323274i
\(560\) 45.0398 + 255.433i 0.00339871 + 0.0192750i
\(561\) −2168.91 −0.163229
\(562\) −973.283 5519.76i −0.0730524 0.414301i
\(563\) −716.784 + 1241.51i −0.0536569 + 0.0929365i −0.891606 0.452811i \(-0.850421\pi\)
0.837949 + 0.545748i \(0.183754\pi\)
\(564\) 338.663 + 284.172i 0.0252842 + 0.0212159i
\(565\) 4316.24 + 7475.94i 0.321390 + 0.556664i
\(566\) 5276.83 9139.74i 0.391876 0.678749i
\(567\) −2446.59 + 890.488i −0.181212 + 0.0659558i
\(568\) 3683.04 3090.44i 0.272072 0.228296i
\(569\) −1258.17 2179.21i −0.0926980 0.160558i 0.815948 0.578126i \(-0.196216\pi\)
−0.908646 + 0.417568i \(0.862882\pi\)
\(570\) −36.4562 + 206.754i −0.00267892 + 0.0151929i
\(571\) −1262.58 + 7160.47i −0.0925351 + 0.524792i 0.902940 + 0.429767i \(0.141404\pi\)
−0.995475 + 0.0950254i \(0.969707\pi\)
\(572\) −3019.44 2533.61i −0.220715 0.185202i
\(573\) −25611.4 9321.78i −1.86724 0.679621i
\(574\) 1.48314 + 0.539817i 0.000107848 + 3.92536e-5i
\(575\) −9361.55 7855.27i −0.678963 0.569718i
\(576\) 290.797 1649.19i 0.0210356 0.119299i
\(577\) 153.928 872.971i 0.0111059 0.0629848i −0.978751 0.205052i \(-0.934264\pi\)
0.989857 + 0.142067i \(0.0453748\pi\)
\(578\) −4784.37 8286.78i −0.344297 0.596340i
\(579\) 12086.6 10141.9i 0.867537 0.727950i
\(580\) 3722.39 1354.84i 0.266489 0.0969941i
\(581\) 226.851 392.917i 0.0161985 0.0280567i
\(582\) 11070.9 + 19175.4i 0.788496 + 1.36571i
\(583\) 12393.2 + 10399.1i 0.880399 + 0.738743i
\(584\) 3277.71 5677.16i 0.232248 0.402265i
\(585\) 798.045 + 4525.94i 0.0564019 + 0.319871i
\(586\) 16918.7 1.19267
\(587\) 4614.14 + 26168.1i 0.324440 + 1.83999i 0.513585 + 0.858039i \(0.328317\pi\)
−0.189145 + 0.981949i \(0.560572\pi\)
\(588\) 7394.80 6204.98i 0.518634 0.435185i
\(589\) 331.369 + 120.609i 0.0231814 + 0.00843734i
\(590\) 3956.01 1439.87i 0.276045 0.100472i
\(591\) −1934.54 −0.134647
\(592\) 1504.43 + 3271.68i 0.104445 + 0.227137i
\(593\) 24795.0 1.71704 0.858522 0.512777i \(-0.171383\pi\)
0.858522 + 0.512777i \(0.171383\pi\)
\(594\) 299.712 109.086i 0.0207026 0.00753513i
\(595\) −172.765 62.8813i −0.0119037 0.00433258i
\(596\) 4060.72 3407.34i 0.279083 0.234178i
\(597\) −6374.97 36154.3i −0.437036 2.47855i
\(598\) 8902.75 0.608797
\(599\) 3237.14 + 18358.7i 0.220811 + 1.25228i 0.870532 + 0.492111i \(0.163775\pi\)
−0.649721 + 0.760173i \(0.725114\pi\)
\(600\) 3008.36 5210.63i 0.204693 0.354539i
\(601\) −148.268 124.411i −0.0100632 0.00844401i 0.637742 0.770250i \(-0.279869\pi\)
−0.647805 + 0.761806i \(0.724313\pi\)
\(602\) −613.492 1062.60i −0.0415350 0.0719407i
\(603\) −2564.17 + 4441.27i −0.173169 + 0.299938i
\(604\) 11822.2 4302.93i 0.796421 0.289874i
\(605\) 2303.05 1932.49i 0.154764 0.129863i
\(606\) −11133.7 19284.2i −0.746331 1.29268i
\(607\) 1256.03 7123.30i 0.0839880 0.476319i −0.913582 0.406654i \(-0.866696\pi\)
0.997570 0.0696658i \(-0.0221933\pi\)
\(608\) −17.1123 + 97.0488i −0.00114144 + 0.00647344i
\(609\) 4103.20 + 3442.99i 0.273021 + 0.229092i
\(610\) −4698.85 1710.24i −0.311887 0.113517i
\(611\) −535.149 194.778i −0.0354334 0.0128967i
\(612\) 909.321 + 763.011i 0.0600606 + 0.0503969i
\(613\) −567.522 + 3218.58i −0.0373931 + 0.212067i −0.997779 0.0666052i \(-0.978783\pi\)
0.960386 + 0.278672i \(0.0898943\pi\)
\(614\) −967.478 + 5486.84i −0.0635900 + 0.360637i
\(615\) 3.87862 + 6.71797i 0.000254311 + 0.000440479i
\(616\) 557.371 467.690i 0.0364564 0.0305905i
\(617\) 11571.8 4211.79i 0.755045 0.274814i 0.0643179 0.997929i \(-0.479513\pi\)
0.690727 + 0.723116i \(0.257291\pi\)
\(618\) 2912.26 5044.18i 0.189560 0.328328i
\(619\) −7073.06 12250.9i −0.459274 0.795486i 0.539649 0.841890i \(-0.318557\pi\)
−0.998923 + 0.0464046i \(0.985224\pi\)
\(620\) 1640.28 + 1376.36i 0.106250 + 0.0891545i
\(621\) −360.197 + 623.880i −0.0232757 + 0.0403147i
\(622\) 3390.33 + 19227.5i 0.218553 + 1.23948i
\(623\) −1852.70 −0.119144
\(624\) 761.132 + 4316.60i 0.0488296 + 0.276927i
\(625\) 6057.38 5082.75i 0.387672 0.325296i
\(626\) 8620.18 + 3137.49i 0.550370 + 0.200318i
\(627\) 553.416 201.427i 0.0352493 0.0128297i
\(628\) −4862.37 −0.308965
\(629\) −2541.57 236.019i −0.161111 0.0149614i
\(630\) −848.350 −0.0536493
\(631\) 18941.9 6894.30i 1.19503 0.434957i 0.333546 0.942734i \(-0.391755\pi\)
0.861489 + 0.507777i \(0.169533\pi\)
\(632\) 1335.76 + 486.177i 0.0840723 + 0.0305998i
\(633\) −6510.19 + 5462.70i −0.408779 + 0.343006i
\(634\) 1434.32 + 8134.41i 0.0898485 + 0.509556i
\(635\) 4625.34 0.289057
\(636\) −3124.04 17717.3i −0.194774 1.10462i
\(637\) −6217.53 + 10769.1i −0.386731 + 0.669837i
\(638\) −8512.45 7142.79i −0.528230 0.443238i
\(639\) 7862.71 + 13618.6i 0.486767 + 0.843104i
\(640\) −299.189 + 518.210i −0.0184789 + 0.0320063i
\(641\) 8718.34 3173.22i 0.537213 0.195530i −0.0591429 0.998250i \(-0.518837\pi\)
0.596356 + 0.802720i \(0.296615\pi\)
\(642\) −21836.0 + 18322.6i −1.34237 + 1.12638i
\(643\) −6563.90 11369.0i −0.402574 0.697278i 0.591462 0.806333i \(-0.298551\pi\)
−0.994036 + 0.109055i \(0.965218\pi\)
\(644\) −285.373 + 1618.43i −0.0174616 + 0.0990295i
\(645\) 1047.18 5938.85i 0.0639266 0.362546i
\(646\) −53.5102 44.9004i −0.00325903 0.00273465i
\(647\) −11389.1 4145.29i −0.692043 0.251883i −0.0280332 0.999607i \(-0.508924\pi\)
−0.664010 + 0.747724i \(0.731147\pi\)
\(648\) −5644.32 2054.36i −0.342176 0.124542i
\(649\) −9046.70 7591.08i −0.547171 0.459131i
\(650\) −1345.88 + 7632.85i −0.0812148 + 0.460592i
\(651\) −502.766 + 2851.33i −0.0302687 + 0.171663i
\(652\) −85.0450 147.302i −0.00510831 0.00884786i
\(653\) 14548.2 12207.4i 0.871844 0.731564i −0.0926413 0.995700i \(-0.529531\pi\)
0.964486 + 0.264135i \(0.0850865\pi\)
\(654\) 16273.5 5923.06i 0.973001 0.354143i
\(655\) −3061.54 + 5302.75i −0.182633 + 0.316329i
\(656\) 1.82060 + 3.15337i 0.000108358 + 0.000187681i
\(657\) 16424.9 + 13782.2i 0.975339 + 0.818406i
\(658\) 52.5626 91.0411i 0.00311414 0.00539385i
\(659\) −2263.16 12835.0i −0.133779 0.758698i −0.975702 0.219101i \(-0.929688\pi\)
0.841923 0.539597i \(-0.181423\pi\)
\(660\) 3576.04 0.210905
\(661\) 158.956 + 901.487i 0.00935354 + 0.0530465i 0.989127 0.147062i \(-0.0469817\pi\)
−0.979774 + 0.200108i \(0.935871\pi\)
\(662\) −5347.77 + 4487.31i −0.313968 + 0.263450i
\(663\) −2919.58 1062.64i −0.171021 0.0622466i
\(664\) 983.571 357.990i 0.0574849 0.0209228i
\(665\) 49.9223 0.00291113
\(666\) −11392.8 + 2987.67i −0.662854 + 0.173829i
\(667\) 25098.7 1.45701
\(668\) −9217.38 + 3354.85i −0.533879 + 0.194316i
\(669\) −6701.50 2439.15i −0.387287 0.140961i
\(670\) 1403.74 1177.88i 0.0809422 0.0679186i
\(671\) 2435.79 + 13814.1i 0.140138 + 0.794764i
\(672\) −809.111 −0.0464466
\(673\) 5771.57 + 32732.2i 0.330576 + 1.87479i 0.467177 + 0.884164i \(0.345271\pi\)
−0.136601 + 0.990626i \(0.543618\pi\)
\(674\) 6822.28 11816.5i 0.389888 0.675306i
\(675\) −480.436 403.133i −0.0273955 0.0229876i
\(676\) 1570.84 + 2720.78i 0.0893743 + 0.154801i
\(677\) 6002.19 10396.1i 0.340743 0.590184i −0.643828 0.765170i \(-0.722655\pi\)
0.984571 + 0.174987i \(0.0559882\pi\)
\(678\) −25304.8 + 9210.20i −1.43337 + 0.521704i
\(679\) 4033.30 3384.34i 0.227959 0.191280i
\(680\) −212.075 367.325i −0.0119599 0.0207151i
\(681\) −124.343 + 705.182i −0.00699680 + 0.0396808i
\(682\) 1043.03 5915.33i 0.0585628 0.332126i
\(683\) −24442.1 20509.4i −1.36933 1.14900i −0.972976 0.230907i \(-0.925831\pi\)
−0.396355 0.918097i \(-0.629725\pi\)
\(684\) −302.882 110.240i −0.0169313 0.00616248i
\(685\) −8422.40 3065.50i −0.469786 0.170988i
\(686\) −3580.70 3004.57i −0.199288 0.167223i
\(687\) 5653.03 32059.9i 0.313940 1.78044i
\(688\) 491.540 2787.66i 0.0272380 0.154475i
\(689\) 11587.5 + 20070.2i 0.640711 + 1.10974i
\(690\) −6187.40 + 5191.85i −0.341377 + 0.286450i
\(691\) −3769.90 + 1372.13i −0.207545 + 0.0755403i −0.443701 0.896175i \(-0.646335\pi\)
0.236156 + 0.971715i \(0.424112\pi\)
\(692\) −1634.91 + 2831.75i −0.0898122 + 0.155559i
\(693\) 1189.90 + 2060.96i 0.0652243 + 0.112972i
\(694\) −999.111 838.353i −0.0546480 0.0458551i
\(695\) 3519.40 6095.77i 0.192084 0.332699i
\(696\) 2145.79 + 12169.4i 0.116862 + 0.662759i
\(697\) −2.58100 −0.000140262
\(698\) 2660.64 + 15089.2i 0.144279 + 0.818247i
\(699\) 10824.3 9082.64i 0.585710 0.491469i
\(700\) −1344.43 489.333i −0.0725925 0.0264215i
\(701\) 17412.3 6337.56i 0.938164 0.341464i 0.172724 0.984970i \(-0.444743\pi\)
0.765441 + 0.643506i \(0.222521\pi\)
\(702\) 456.890 0.0245644
\(703\) 670.423 175.814i 0.0359680 0.00943235i
\(704\) 1678.57 0.0898630
\(705\) 485.517 176.714i 0.0259371 0.00944033i
\(706\) 9945.02 + 3619.69i 0.530150 + 0.192959i
\(707\) −4056.18 + 3403.54i −0.215769 + 0.181051i
\(708\) 2280.47 + 12933.2i 0.121053 + 0.686523i
\(709\) −13223.8 −0.700466 −0.350233 0.936663i \(-0.613898\pi\)
−0.350233 + 0.936663i \(0.613898\pi\)
\(710\) −975.728 5533.63i −0.0515752 0.292498i
\(711\) −2324.67 + 4026.45i −0.122619 + 0.212382i
\(712\) −3274.22 2747.40i −0.172341 0.144611i
\(713\) 6783.43 + 11749.2i 0.356299 + 0.617128i
\(714\) 286.762 496.687i 0.0150305 0.0260337i
\(715\) −4328.76 + 1575.54i −0.226415 + 0.0824082i
\(716\) −8963.46 + 7521.24i −0.467850 + 0.392572i
\(717\) 3508.55 + 6076.98i 0.182746 + 0.316526i
\(718\) 1685.50 9558.95i 0.0876077 0.496848i
\(719\) 1278.31 7249.65i 0.0663045 0.376031i −0.933541 0.358470i \(-0.883299\pi\)
0.999846 0.0175615i \(-0.00559028\pi\)
\(720\) −1499.27 1258.03i −0.0776032 0.0651168i
\(721\) −1301.48 473.701i −0.0672258 0.0244682i
\(722\) −12872.9 4685.35i −0.663544 0.241510i
\(723\) −21495.6 18036.9i −1.10571 0.927802i
\(724\) −2826.78 + 16031.4i −0.145105 + 0.822934i
\(725\) −3794.31 + 21518.6i −0.194369 + 1.10232i
\(726\) 4689.23 + 8121.99i 0.239716 + 0.415200i
\(727\) 22232.2 18655.0i 1.13418 0.951688i 0.134945 0.990853i \(-0.456914\pi\)
0.999233 + 0.0391648i \(0.0124697\pi\)
\(728\) 979.420 356.480i 0.0498622 0.0181484i
\(729\) 9224.49 15977.3i 0.468653 0.811730i
\(730\) −3830.68 6634.93i −0.194219 0.336397i
\(731\) 1537.04 + 1289.73i 0.0777697 + 0.0652565i
\(732\) 7799.34 13508.9i 0.393814 0.682106i
\(733\) 405.030 + 2297.04i 0.0204094 + 0.115748i 0.993310 0.115474i \(-0.0368388\pi\)
−0.972901 + 0.231222i \(0.925728\pi\)
\(734\) −19994.1 −1.00545
\(735\) −1959.06 11110.4i −0.0983145 0.557569i
\(736\) −2904.33 + 2437.02i −0.145455 + 0.122051i
\(737\) −4830.41 1758.12i −0.241425 0.0878715i
\(738\) −11.1913 + 4.07329i −0.000558207 + 0.000203171i
\(739\) 23582.0 1.17386 0.586928 0.809639i \(-0.300337\pi\)
0.586928 + 0.809639i \(0.300337\pi\)
\(740\) 4190.48 + 389.142i 0.208169 + 0.0193313i
\(741\) 843.643 0.0418246
\(742\) −4019.99 + 1463.16i −0.198893 + 0.0723910i
\(743\) 27825.3 + 10127.6i 1.37391 + 0.500061i 0.920325 0.391154i \(-0.127924\pi\)
0.453581 + 0.891215i \(0.350146\pi\)
\(744\) −5116.81 + 4293.51i −0.252139 + 0.211570i
\(745\) −1075.78 6101.06i −0.0529042 0.300034i
\(746\) 8142.23 0.399609
\(747\) 594.483 + 3371.48i 0.0291178 + 0.165135i
\(748\) −594.914 + 1030.42i −0.0290805 + 0.0503689i
\(749\) 5192.39 + 4356.93i 0.253305 + 0.212548i
\(750\) −7776.71 13469.7i −0.378620 0.655789i
\(751\) 4706.03 8151.09i 0.228663 0.396055i −0.728749 0.684780i \(-0.759898\pi\)
0.957412 + 0.288725i \(0.0932314\pi\)
\(752\) 227.899 82.9484i 0.0110513 0.00402236i
\(753\) −22445.7 + 18834.2i −1.08628 + 0.911494i
\(754\) −7959.08 13785.5i −0.384420 0.665835i
\(755\) 2553.22 14480.0i 0.123074 0.697989i
\(756\) −14.6453 + 83.0579i −0.000704558 + 0.00399575i
\(757\) −20371.0 17093.3i −0.978069 0.820697i 0.00572830 0.999984i \(-0.498177\pi\)
−0.983797 + 0.179287i \(0.942621\pi\)
\(758\) 27433.6 + 9985.02i 1.31456 + 0.478459i
\(759\) 21291.4 + 7749.44i 1.01822 + 0.370602i
\(760\) 88.2263 + 74.0307i 0.00421093 + 0.00353339i
\(761\) −2201.39 + 12484.7i −0.104862 + 0.594703i 0.886413 + 0.462895i \(0.153189\pi\)
−0.991275 + 0.131808i \(0.957922\pi\)
\(762\) −2505.51 + 14209.4i −0.119114 + 0.675530i
\(763\) −2059.00 3566.30i −0.0976946 0.169212i
\(764\) −11453.6 + 9610.75i −0.542380 + 0.455111i
\(765\) 1303.63 474.483i 0.0616116 0.0224248i
\(766\) 2373.55 4111.10i 0.111958 0.193917i
\(767\) −8458.60 14650.7i −0.398204 0.689710i
\(768\) −1429.92 1199.84i −0.0671846 0.0563745i
\(769\) −17150.0 + 29704.7i −0.804219 + 1.39295i 0.112597 + 0.993641i \(0.464