Properties

Label 74.4.f.a.53.4
Level $74$
Weight $4$
Character 74.53
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 53.4
Character \(\chi\) \(=\) 74.53
Dual form 74.4.f.a.7.4

$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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 0.415608 0.909544i \(-0.363569\pi\)
0.903018 + 0.429604i \(0.141347\pi\)
\(4\) 3.06418 + 2.57115i 0.383022 + 0.321394i
\(5\) −0.811775 + 4.60380i −0.0726074 + 0.411777i 0.926742 + 0.375699i \(0.122597\pi\)
−0.999349 + 0.0360775i \(0.988514\pi\)
\(6\) 14.5830 0.992249
\(7\) −0.602158 + 3.41501i −0.0325135 + 0.184393i −0.996739 0.0806889i \(-0.974288\pi\)
0.964226 + 0.265082i \(0.0853991\pi\)
\(8\) 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 0.628417 0.777876i \(-0.283703\pi\)
−0.987869 + 0.155287i \(0.950370\pi\)
\(12\) 27.4071 + 9.97537i 0.659313 + 0.239970i
\(13\) −28.7810 24.1502i −0.614033 0.515235i 0.281889 0.959447i \(-0.409039\pi\)
−0.895921 + 0.444212i \(0.853484\pi\)
\(14\) −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 −0.578706 0.815536i \(-0.696442\pi\)
0.702655 + 0.711530i \(0.251998\pi\)
\(18\) 49.1762 17.8987i 0.643941 0.234375i
\(19\) −2.89384 + 1.05327i −0.0349417 + 0.0127177i −0.359432 0.933171i \(-0.617030\pi\)
0.324490 + 0.945889i \(0.394807\pi\)
\(20\) −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 0.462005 + 0.886878i \(0.347130\pi\)
−0.999061 + 0.0433310i \(0.986203\pi\)
\(24\) 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 −0.975511 0.219953i \(-0.929410\pi\)
0.297270 0.954793i \(-0.403924\pi\)
\(30\) −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 0.642456 0.766323i \(-0.277916\pi\)
−0.643120 + 0.765766i \(0.722360\pi\)
\(42\) −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 −0.854025 0.520232i \(-0.825846\pi\)
0.877546 + 0.479492i \(0.159179\pi\)
\(48\) 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 0.730568 + 0.682839i \(0.239255\pi\)
−0.452965 + 0.891528i \(0.649634\pi\)
\(54\) −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 −0.940955 0.338533i \(-0.890069\pi\)
0.768423 0.639942i \(-0.221042\pi\)
\(60\) −68.1731 + 118.079i −0.146685 + 0.254066i
\(61\) 409.698 + 343.778i 0.859943 + 0.721578i 0.961956 0.273205i \(-0.0880839\pi\)
−0.102013 + 0.994783i \(0.532528\pi\)
\(62\) −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 −0.937929 0.346827i \(-0.887259\pi\)
0.999987 0.00511997i \(-0.00162974\pi\)
\(68\) 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 0.176242 0.984347i \(-0.443606\pi\)
0.767735 + 0.640768i \(0.221384\pi\)
\(72\) 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 −0.954922 0.296857i \(-0.904062\pi\)
0.998864 + 0.0476482i \(0.0151726\pi\)
\(80\) −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 −0.574105 0.818782i \(-0.694650\pi\)
0.706651 + 0.707563i \(0.250205\pi\)
\(84\) −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 0.988882 + 0.148705i \(0.0475103\pi\)
−0.878385 + 0.477954i \(0.841379\pi\)
\(90\) 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 −0.128403 0.991722i \(-0.540985\pi\)
0.923058 0.384661i \(-0.125682\pi\)
\(98\) 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 0.194612 + 0.980880i \(0.437655\pi\)
−0.946773 + 0.321901i \(0.895678\pi\)
\(102\) 126.697 106.311i 0.122989 0.103200i
\(103\) 199.702 + 345.894i 0.191041 + 0.330893i 0.945595 0.325345i \(-0.105480\pi\)
−0.754555 + 0.656237i \(0.772147\pi\)
\(104\) 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 −0.978119 0.208047i \(-0.933289\pi\)
−0.374735 0.927132i \(-0.622266\pi\)
\(108\) −22.8547 + 8.31841i −0.0203629 + 0.00741148i
\(109\) 1115.92 + 406.161i 0.980602 + 0.356910i 0.782074 0.623185i \(-0.214162\pi\)
0.198528 + 0.980095i \(0.436384\pi\)
\(110\) 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 −0.503499 0.863996i \(-0.667954\pi\)
−0.941068 + 0.338216i \(0.890177\pi\)
\(114\) −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 −0.984128 0.177459i \(-0.943212\pi\)
0.864084 0.503348i \(-0.167899\pi\)
\(128\) −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 −0.912827 0.408347i \(-0.866105\pi\)
0.243633 + 0.969868i \(0.421661\pi\)
\(132\) −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 0.993142 + 0.116918i \(0.0373014\pi\)
−0.395317 + 0.918545i \(0.629365\pi\)
\(138\) −863.891 + 1496.30i −0.532893 + 0.922998i
\(139\) 1153.42 967.833i 0.703825 0.590579i −0.219034 0.975717i \(-0.570291\pi\)
0.922859 + 0.385138i \(0.125846\pi\)
\(140\) −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 0.614897 0.788608i \(-0.289198\pi\)
0.977945 + 0.208861i \(0.0669755\pi\)
\(152\) −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 −0.848019 0.529966i \(-0.822205\pi\)
0.374658 + 0.927163i \(0.377760\pi\)
\(158\) 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 0.986530 0.163578i \(-0.0523034\pi\)
−0.982982 + 0.183701i \(0.941192\pi\)
\(164\) −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 −0.815338 0.578986i \(-0.803449\pi\)
−0.252420 + 0.967618i \(0.581226\pi\)
\(168\) −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 0.167665 0.985844i \(-0.446377\pi\)
−0.505249 + 0.862974i \(0.668599\pi\)
\(174\) −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 −0.993209 0.116348i \(-0.962881\pi\)
−0.287049 0.957916i \(-0.592674\pi\)
\(182\) 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 0.994148 0.108023i \(-0.0344521\pi\)
−0.590625 + 0.806946i \(0.701119\pi\)
\(194\) 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 0.296543 0.955020i \(-0.404166\pi\)
−0.386710 + 0.922201i \(0.626388\pi\)
\(198\) −1051.44 882.260i −0.377386 0.316664i
\(199\) −2517.45 + 4360.35i −0.896770 + 1.55325i −0.0651714 + 0.997874i \(0.520759\pi\)
−0.831599 + 0.555377i \(0.812574\pi\)
\(200\) 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 0.755158 0.655543i \(-0.227560\pi\)
−0.945296 + 0.326214i \(0.894227\pi\)
\(212\) −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 −0.982213 0.187769i \(-0.939874\pi\)
0.987199 + 0.159491i \(0.0509854\pi\)
\(228\) −89.8186 −0.0260894
\(229\) −775.289 + 4396.88i −0.223723 + 1.26880i 0.641388 + 0.767216i \(0.278359\pi\)
−0.865111 + 0.501580i \(0.832752\pi\)
\(230\) −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 0.969485 0.245151i \(-0.0788376\pi\)
−0.697050 + 0.717023i \(0.745504\pi\)
\(234\) −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 −0.537551 0.843231i \(-0.680650\pi\)
0.737076 + 0.675810i \(0.236206\pi\)
\(240\) −512.494 + 186.532i −0.137839 + 0.0501693i
\(241\) −3616.29 + 1316.22i −0.966580 + 0.351806i −0.776609 0.629983i \(-0.783062\pi\)
−0.189971 + 0.981790i \(0.560840\pi\)
\(242\) 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 −0.999981 0.00609240i \(-0.998061\pi\)
0.494715 0.869056i \(-0.335273\pi\)
\(252\) −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 0.00839132 0.999965i \(-0.497329\pi\)
−0.636337 + 0.771411i \(0.719551\pi\)
\(258\) 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 0.906880 0.421389i \(-0.138457\pi\)
−0.257509 + 0.966276i \(0.582902\pi\)
\(264\) 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 −0.536451 0.843931i \(-0.680235\pi\)
0.999092 + 0.0426148i \(0.0135688\pi\)
\(270\) −28.4246 49.2328i −0.00640691 0.0110971i
\(271\) −4700.53 1710.85i −1.05364 0.383494i −0.243606 0.969874i \(-0.578330\pi\)
−0.810036 + 0.586380i \(0.800553\pi\)
\(272\) 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 −0.276238 0.961089i \(-0.589088\pi\)
0.406166 + 0.913799i \(0.366866\pi\)
\(278\) 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 0.991881 + 0.127168i \(0.0405887\pi\)
−0.888570 + 0.458742i \(0.848300\pi\)
\(282\) 110.523 191.432i 0.0233389 0.0404241i
\(283\) 4042.29 + 3391.88i 0.849078 + 0.712461i 0.959586 0.281414i \(-0.0908035\pi\)
−0.110508 + 0.993875i \(0.535248\pi\)
\(284\) 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 0.608696 0.793404i \(-0.291693\pi\)
0.976278 + 0.216520i \(0.0694707\pi\)
\(294\) 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 0.707016 0.707197i \(-0.250041\pi\)
−0.965959 + 0.258696i \(0.916707\pi\)
\(308\) 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 −0.603646 0.797253i \(-0.706286\pi\)
0.294565 0.955631i \(-0.404825\pi\)
\(312\) −380.566 2158.30i −0.0690555 0.391633i
\(313\) 3513.62 2948.28i 0.634509 0.532417i −0.267817 0.963470i \(-0.586302\pi\)
0.902327 + 0.431053i \(0.141858\pi\)
\(314\) −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 −0.980060 0.198702i \(-0.936327\pi\)
0.852995 0.521919i \(-0.174784\pi\)
\(318\) 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 0.0550076 0.998486i \(-0.482482\pi\)
−0.599676 + 0.800243i \(0.704704\pi\)
\(332\) 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 0.958631 0.284650i \(-0.0918774\pi\)
−0.113861 + 0.993497i \(0.536322\pi\)
\(338\) 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 −0.890145 0.455678i \(-0.849397\pi\)
0.839701 + 0.543049i \(0.182730\pi\)
\(348\) −1072.90 6084.70i −0.165268 0.937282i
\(349\) −1330.32 7544.62i −0.204041 1.15718i −0.898941 0.438069i \(-0.855662\pi\)
0.694900 0.719107i \(-0.255449\pi\)
\(350\) −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 −0.283825 0.958876i \(-0.591604\pi\)
0.895023 + 0.446020i \(0.147159\pi\)
\(354\) −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 0.987415 0.158151i \(-0.0505534\pi\)
−0.630671 + 0.776051i \(0.717220\pi\)
\(360\) −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 −0.908602 0.417663i \(-0.862849\pi\)
−0.427561 + 0.903987i \(0.640627\pi\)
\(368\) −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 −0.0625567 0.998041i \(-0.519925\pi\)
0.593607 + 0.804755i \(0.297703\pi\)
\(374\) −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 0.663490 0.748185i \(-0.269074\pi\)
0.852032 0.523489i \(-0.175370\pi\)
\(380\) 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 0.755969 0.654607i \(-0.227166\pi\)
−0.513390 + 0.858156i \(0.671610\pi\)
\(384\) −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 0.0840186 0.996464i \(-0.473224\pi\)
0.704877 + 0.709330i \(0.251002\pi\)
\(390\) 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 −0.922180 0.386760i \(-0.873594\pi\)
0.796034 + 0.605252i \(0.206928\pi\)
\(398\) −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 −0.765147 0.643856i \(-0.777334\pi\)
−0.999999 + 0.00139549i \(0.999556\pi\)
\(410\) 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 −0.617348 0.786690i \(-0.711793\pi\)
−0.978591 + 0.205816i \(0.934015\pi\)
\(420\) −362.191 303.914i −0.0420788 0.0353083i
\(421\) 3793.84 6571.13i 0.439194 0.760706i −0.558434 0.829549i \(-0.688597\pi\)
0.997628 + 0.0688430i \(0.0219307\pi\)
\(422\) −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 0.523246 0.852181i \(-0.324721\pi\)
−0.748374 + 0.663277i \(0.769165\pi\)
\(432\) −91.4186 33.2737i −0.0101814 0.00370574i
\(433\) 2218.86 + 3843.18i 0.246263 + 0.426539i 0.962486 0.271332i \(-0.0874641\pi\)
−0.716223 + 0.697871i \(0.754131\pi\)
\(434\) 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 −0.889864 0.456227i \(-0.849201\pi\)
0.992237 0.124361i \(-0.0396882\pi\)
\(440\) 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 0.748441 + 0.663202i \(0.230803\pi\)
−0.930133 + 0.367224i \(0.880308\pi\)
\(450\) 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 0.999204 + 0.0399038i \(0.0127051\pi\)
0.212807 + 0.977094i \(0.431739\pi\)
\(458\) −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 −0.499054 0.866571i \(-0.666319\pi\)
0.766746 + 0.641950i \(0.221875\pi\)
\(462\) 1246.33 453.628i 0.125508 0.0456811i
\(463\) −5613.29 + 2043.07i −0.563438 + 0.205075i −0.608007 0.793932i \(-0.708031\pi\)
0.0445689 + 0.999006i \(0.485809\pi\)
\(464\) 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 −0.997749 0.0670646i \(-0.978637\pi\)
0.556954 + 0.830543i \(0.311970\pi\)
\(468\) −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 −0.409366 0.912370i \(-0.634250\pi\)
−0.900053 + 0.435780i \(0.856472\pi\)
\(480\) −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 −0.419531 0.907741i \(-0.637805\pi\)
0.995892 0.0905461i \(-0.0288612\pi\)
\(492\) −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 0.202361 0.979311i \(-0.435139\pi\)
0.784506 + 0.620121i \(0.212916\pi\)
\(500\) −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 0.979011 + 0.203807i \(0.0653314\pi\)
−0.850264 + 0.526357i \(0.823557\pi\)
\(504\) −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 −0.957782 0.287496i \(-0.907177\pi\)
0.116811 + 0.993154i \(0.462733\pi\)
\(510\) 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 −0.372592 0.927995i \(-0.621531\pi\)
0.311082 + 0.950383i \(0.399309\pi\)
\(522\) −8492.46 7126.02i −0.712078 0.597505i
\(523\) 238.001 1349.77i 0.0198987 0.112851i −0.973241 0.229789i \(-0.926197\pi\)
0.993139 + 0.116937i \(0.0373076\pi\)
\(524\) −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 −0.966574 0.256388i \(-0.917468\pi\)
0.705325 + 0.708884i \(0.250801\pi\)
\(542\) −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 −0.967189 0.254058i \(-0.918235\pi\)
0.263574 0.964639i \(-0.415099\pi\)
\(548\) −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 −0.0411697 0.999152i \(-0.513108\pi\)
−0.673780 + 0.738932i \(0.735331\pi\)
\(558\) −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 0.837949 0.545748i \(-0.183754\pi\)
−0.891606 + 0.452811i \(0.850421\pi\)
\(564\) 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 −0.908646 0.417568i \(-0.862882\pi\)
0.815948 + 0.578126i \(0.196216\pi\)
\(570\) −36.4562 206.754i −0.00267892 0.0151929i
\(571\) −1262.58 7160.47i −0.0925351 0.524792i −0.995475 0.0950254i \(-0.969707\pi\)
0.902940 0.429767i \(-0.141404\pi\)
\(572\) −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 0.989857 0.142067i \(-0.0453748\pi\)
−0.978751 + 0.205052i \(0.934264\pi\)
\(578\) −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 −0.189145 0.981949i \(-0.560572\pi\)
0.513585 0.858039i \(-0.328317\pi\)
\(588\) 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 −0.649721 0.760173i \(-0.725114\pi\)
0.870532 0.492111i \(-0.163775\pi\)
\(600\) 3008.36 + 5210.63i 0.204693 + 0.354539i
\(601\) −148.268 + 124.411i −0.0100632 + 0.00844401i −0.647805 0.761806i \(-0.724313\pi\)
0.637742 + 0.770250i \(0.279869\pi\)
\(602\) −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 0.997570 + 0.0696658i \(0.0221933\pi\)
−0.913582 + 0.406654i \(0.866696\pi\)
\(608\) −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 0.960386 0.278672i \(-0.0898943\pi\)
−0.997779 + 0.0666052i \(0.978783\pi\)
\(614\) −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 0.690727 0.723116i \(-0.257291\pi\)
0.0643179 + 0.997929i \(0.479513\pi\)
\(618\) 2912.26 + 5044.18i 0.189560 + 0.328328i
\(619\) −7073.06 + 12250.9i −0.459274 + 0.795486i −0.998923 0.0464046i \(-0.985224\pi\)
0.539649 + 0.841890i \(0.318557\pi\)
\(620\) 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 0.861489 0.507777i \(-0.169533\pi\)
0.333546 + 0.942734i \(0.391755\pi\)
\(632\) 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 0.596356 0.802720i \(-0.296615\pi\)
−0.0591429 + 0.998250i \(0.518837\pi\)
\(642\) −21836.0 18322.6i −1.34237 1.12638i
\(643\) −6563.90 + 11369.0i −0.402574 + 0.697278i −0.994036 0.109055i \(-0.965218\pi\)
0.591462 + 0.806333i \(0.298551\pi\)
\(644\) −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 −0.664010 0.747724i \(-0.731147\pi\)
−0.0280332 + 0.999607i \(0.508924\pi\)
\(648\) −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 0.964486 0.264135i \(-0.0850865\pi\)
−0.0926413 + 0.995700i \(0.529531\pi\)
\(654\) 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 0.841923 + 0.539597i \(0.181423\pi\)
−0.975702 + 0.219101i \(0.929688\pi\)
\(660\) 3576.04 0.210905
\(661\) 158.956 901.487i 0.00935354 0.0530465i −0.979774 0.200108i \(-0.935871\pi\)
0.989127 + 0.147062i \(0.0469817\pi\)
\(662\) −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 −0.136601 0.990626i \(-0.543618\pi\)
0.467177 0.884164i \(-0.345271\pi\)
\(674\) 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 0.984571 0.174987i \(-0.0559882\pi\)
−0.643828 + 0.765170i \(0.722655\pi\)
\(678\) −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 −0.396355 + 0.918097i \(0.629725\pi\)
−0.972976 + 0.230907i \(0.925831\pi\)
\(684\) −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 0.236156 0.971715i \(-0.424112\pi\)
−0.443701 + 0.896175i \(0.646335\pi\)
\(692\) −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 0.765441 0.643506i \(-0.222521\pi\)
0.172724 + 0.984970i \(0.444743\pi\)
\(702\) 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 0.999846 + 0.0175615i \(0.00559028\pi\)
−0.933541 + 0.358470i \(0.883299\pi\)
\(720\) −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 0.999233 0.0391648i \(-0.0124697\pi\)
0.134945 + 0.990853i \(0.456914\pi\)
\(728\) 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 −0.972901 0.231222i \(-0.925728\pi\)
0.993310 + 0.115474i \(0.0368388\pi\)
\(734\) −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 0.453581 0.891215i \(-0.350146\pi\)
0.920325 + 0.391154i \(0.127924\pi\)
\(744\) −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 0.957412 0.288725i \(-0.0932314\pi\)
−0.728749 + 0.684780i \(0.759898\pi\)
\(752\) 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 −0.983797 0.179287i \(-0.942621\pi\)
0.00572830 + 0.999984i \(0.498177\pi\)
\(758\) 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 −0.991275 0.131808i \(-0.957922\pi\)
0.886413 0.462895i \(-0.153189\pi\)
\(762\) −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 1.39295<