Properties

Label 27.4.e.a.4.8
Level 27
Weight 4
Character 27.4
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) = 27.4
Dual form 27.4.e.a.7.8

$q$-expansion

\(f(q)\) \(=\) \(q+(4.06758 + 1.48048i) q^{2} +(-1.65472 - 4.92564i) q^{3} +(8.22505 + 6.90164i) q^{4} +(-0.745703 + 4.22909i) q^{5} +(0.561612 - 22.4852i) q^{6} +(-15.6540 + 13.1353i) q^{7} +(5.92381 + 10.2603i) q^{8} +(-21.5238 + 16.3011i) q^{9} +O(q^{10})\) \(q+(4.06758 + 1.48048i) q^{2} +(-1.65472 - 4.92564i) q^{3} +(8.22505 + 6.90164i) q^{4} +(-0.745703 + 4.22909i) q^{5} +(0.561612 - 22.4852i) q^{6} +(-15.6540 + 13.1353i) q^{7} +(5.92381 + 10.2603i) q^{8} +(-21.5238 + 16.3011i) q^{9} +(-9.29428 + 16.0982i) q^{10} +(-4.83329 - 27.4110i) q^{11} +(20.3848 - 51.9339i) q^{12} +(84.9810 - 30.9306i) q^{13} +(-83.1204 + 30.2534i) q^{14} +(22.0649 - 3.32488i) q^{15} +(-6.01037 - 34.0865i) q^{16} +(-37.8692 + 65.5913i) q^{17} +(-111.683 + 34.4403i) q^{18} +(32.9713 + 57.1079i) q^{19} +(-35.3211 + 29.6379i) q^{20} +(90.6025 + 55.3708i) q^{21} +(20.9215 - 118.652i) q^{22} +(-109.710 - 92.0573i) q^{23} +(40.7365 - 46.1565i) q^{24} +(100.132 + 36.4452i) q^{25} +391.459 q^{26} +(115.909 + 79.0450i) q^{27} -219.410 q^{28} +(17.6998 + 6.44220i) q^{29} +(94.6732 + 19.1424i) q^{30} +(-26.2997 - 22.0680i) q^{31} +(42.4752 - 240.889i) q^{32} +(-127.019 + 69.1644i) q^{33} +(-251.142 + 210.733i) q^{34} +(-43.8770 - 75.9972i) q^{35} +(-289.539 - 14.4726i) q^{36} +(-62.6156 + 108.453i) q^{37} +(49.5663 + 281.104i) q^{38} +(-292.972 - 367.405i) q^{39} +(-47.8093 + 17.4012i) q^{40} +(54.4086 - 19.8031i) q^{41} +(286.558 + 359.360i) q^{42} +(-16.8203 - 95.3925i) q^{43} +(149.426 - 258.814i) q^{44} +(-52.8883 - 103.182i) q^{45} +(-309.964 - 536.874i) q^{46} +(-80.7566 + 67.7629i) q^{47} +(-157.952 + 86.0083i) q^{48} +(12.9512 - 73.4501i) q^{49} +(353.341 + 296.488i) q^{50} +(385.742 + 77.9948i) q^{51} +(912.445 + 332.103i) q^{52} -603.869 q^{53} +(354.445 + 493.123i) q^{54} +119.528 q^{55} +(-227.504 - 82.8046i) q^{56} +(226.735 - 256.902i) q^{57} +(62.4578 + 52.4083i) q^{58} +(72.3080 - 410.079i) q^{59} +(204.432 + 124.937i) q^{60} +(-413.853 + 347.264i) q^{61} +(-74.3048 - 128.700i) q^{62} +(122.815 - 537.898i) q^{63} +(390.953 - 677.150i) q^{64} +(67.4376 + 382.457i) q^{65} +(-619.056 + 93.2833i) q^{66} +(57.3195 - 20.8626i) q^{67} +(-764.163 + 278.133i) q^{68} +(-271.903 + 692.719i) q^{69} +(-65.9611 - 374.084i) q^{70} +(-50.1993 + 86.9478i) q^{71} +(-294.758 - 124.277i) q^{72} +(277.621 + 480.854i) q^{73} +(-415.257 + 348.442i) q^{74} +(13.8253 - 553.523i) q^{75} +(-122.948 + 697.271i) q^{76} +(435.711 + 365.605i) q^{77} +(-647.754 - 1928.19i) q^{78} +(297.594 + 108.315i) q^{79} +148.637 q^{80} +(197.551 - 701.723i) q^{81} +250.629 q^{82} +(363.168 + 132.182i) q^{83} +(363.061 + 1080.73i) q^{84} +(-249.152 - 209.064i) q^{85} +(72.8087 - 412.919i) q^{86} +(2.44381 - 97.8428i) q^{87} +(252.614 - 211.969i) q^{88} +(566.411 + 981.053i) q^{89} +(-62.3687 - 498.001i) q^{90} +(-924.012 + 1600.44i) q^{91} +(-267.021 - 1514.35i) q^{92} +(-65.1807 + 166.059i) q^{93} +(-428.806 + 156.072i) q^{94} +(-266.101 + 96.8530i) q^{95} +(-1256.82 + 189.385i) q^{96} +(-194.560 - 1103.40i) q^{97} +(161.421 - 279.590i) q^{98} +(550.859 + 511.201i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.06758 + 1.48048i 1.43811 + 0.523428i 0.939243 0.343252i \(-0.111528\pi\)
0.498864 + 0.866680i \(0.333751\pi\)
\(3\) −1.65472 4.92564i −0.318450 0.947940i
\(4\) 8.22505 + 6.90164i 1.02813 + 0.862704i
\(5\) −0.745703 + 4.22909i −0.0666977 + 0.378261i 0.933127 + 0.359546i \(0.117069\pi\)
−0.999825 + 0.0187148i \(0.994043\pi\)
\(6\) 0.561612 22.4852i 0.0382128 1.52992i
\(7\) −15.6540 + 13.1353i −0.845237 + 0.709238i −0.958735 0.284300i \(-0.908239\pi\)
0.113498 + 0.993538i \(0.463794\pi\)
\(8\) 5.92381 + 10.2603i 0.261798 + 0.453447i
\(9\) −21.5238 + 16.3011i −0.797179 + 0.603743i
\(10\) −9.29428 + 16.0982i −0.293911 + 0.509069i
\(11\) −4.83329 27.4110i −0.132481 0.751338i −0.976581 0.215151i \(-0.930975\pi\)
0.844100 0.536187i \(-0.180136\pi\)
\(12\) 20.3848 51.9339i 0.490383 1.24933i
\(13\) 84.9810 30.9306i 1.81304 0.659892i 0.816444 0.577424i \(-0.195942\pi\)
0.996594 0.0824678i \(-0.0262802\pi\)
\(14\) −83.1204 + 30.2534i −1.58678 + 0.577539i
\(15\) 22.0649 3.32488i 0.379809 0.0572320i
\(16\) −6.01037 34.0865i −0.0939120 0.532601i
\(17\) −37.8692 + 65.5913i −0.540272 + 0.935778i 0.458616 + 0.888634i \(0.348345\pi\)
−0.998888 + 0.0471436i \(0.984988\pi\)
\(18\) −111.683 + 34.4403i −1.46245 + 0.450981i
\(19\) 32.9713 + 57.1079i 0.398112 + 0.689551i 0.993493 0.113893i \(-0.0363321\pi\)
−0.595381 + 0.803444i \(0.702999\pi\)
\(20\) −35.3211 + 29.6379i −0.394902 + 0.331362i
\(21\) 90.6025 + 55.3708i 0.941480 + 0.575376i
\(22\) 20.9215 118.652i 0.202749 1.14985i
\(23\) −109.710 92.0573i −0.994611 0.834577i −0.00838198 0.999965i \(-0.502668\pi\)
−0.986229 + 0.165387i \(0.947113\pi\)
\(24\) 40.7365 46.1565i 0.346471 0.392569i
\(25\) 100.132 + 36.4452i 0.801060 + 0.291562i
\(26\) 391.459 2.95275
\(27\) 115.909 + 79.0450i 0.826174 + 0.563415i
\(28\) −219.410 −1.48088
\(29\) 17.6998 + 6.44220i 0.113337 + 0.0412512i 0.398066 0.917357i \(-0.369681\pi\)
−0.284729 + 0.958608i \(0.591904\pi\)
\(30\) 94.6732 + 19.1424i 0.576163 + 0.116497i
\(31\) −26.2997 22.0680i −0.152373 0.127856i 0.563414 0.826174i \(-0.309487\pi\)
−0.715787 + 0.698318i \(0.753932\pi\)
\(32\) 42.4752 240.889i 0.234645 1.33074i
\(33\) −127.019 + 69.1644i −0.670034 + 0.364848i
\(34\) −251.142 + 210.733i −1.26678 + 1.06296i
\(35\) −43.8770 75.9972i −0.211902 0.367025i
\(36\) −289.539 14.4726i −1.34046 0.0670028i
\(37\) −62.6156 + 108.453i −0.278215 + 0.481882i −0.970941 0.239319i \(-0.923076\pi\)
0.692727 + 0.721200i \(0.256409\pi\)
\(38\) 49.5663 + 281.104i 0.211598 + 1.20003i
\(39\) −292.972 367.405i −1.20290 1.50851i
\(40\) −47.8093 + 17.4012i −0.188983 + 0.0687842i
\(41\) 54.4086 19.8031i 0.207249 0.0754323i −0.236310 0.971678i \(-0.575938\pi\)
0.443558 + 0.896245i \(0.353716\pi\)
\(42\) 286.558 + 359.360i 1.05278 + 1.32025i
\(43\) −16.8203 95.3925i −0.0596527 0.338307i 0.940345 0.340221i \(-0.110502\pi\)
−0.999998 + 0.00191380i \(0.999391\pi\)
\(44\) 149.426 258.814i 0.511975 0.886766i
\(45\) −52.8883 103.182i −0.175203 0.341810i
\(46\) −309.964 536.874i −0.993515 1.72082i
\(47\) −80.7566 + 67.7629i −0.250629 + 0.210303i −0.759443 0.650574i \(-0.774528\pi\)
0.508814 + 0.860876i \(0.330084\pi\)
\(48\) −157.952 + 86.0083i −0.474967 + 0.258630i
\(49\) 12.9512 73.4501i 0.0377587 0.214140i
\(50\) 353.341 + 296.488i 0.999398 + 0.838594i
\(51\) 385.742 + 77.9948i 1.05911 + 0.214146i
\(52\) 912.445 + 332.103i 2.43333 + 0.885661i
\(53\) −603.869 −1.56505 −0.782527 0.622617i \(-0.786069\pi\)
−0.782527 + 0.622617i \(0.786069\pi\)
\(54\) 354.445 + 493.123i 0.893219 + 1.24269i
\(55\) 119.528 0.293038
\(56\) −227.504 82.8046i −0.542883 0.197593i
\(57\) 226.735 256.902i 0.526873 0.596974i
\(58\) 62.4578 + 52.4083i 0.141399 + 0.118647i
\(59\) 72.3080 410.079i 0.159554 0.904877i −0.794949 0.606676i \(-0.792502\pi\)
0.954503 0.298201i \(-0.0963865\pi\)
\(60\) 204.432 + 124.937i 0.439867 + 0.268821i
\(61\) −413.853 + 347.264i −0.868663 + 0.728895i −0.963816 0.266568i \(-0.914110\pi\)
0.0951531 + 0.995463i \(0.469666\pi\)
\(62\) −74.3048 128.700i −0.152205 0.263627i
\(63\) 122.815 537.898i 0.245608 1.07570i
\(64\) 390.953 677.150i 0.763580 1.32256i
\(65\) 67.4376 + 382.457i 0.128686 + 0.729815i
\(66\) −619.056 + 93.2833i −1.15455 + 0.173975i
\(67\) 57.3195 20.8626i 0.104518 0.0380414i −0.289232 0.957259i \(-0.593400\pi\)
0.393750 + 0.919218i \(0.371178\pi\)
\(68\) −764.163 + 278.133i −1.36277 + 0.496008i
\(69\) −271.903 + 692.719i −0.474395 + 1.20860i
\(70\) −65.9611 374.084i −0.112626 0.638737i
\(71\) −50.1993 + 86.9478i −0.0839094 + 0.145335i −0.904926 0.425569i \(-0.860074\pi\)
0.821017 + 0.570904i \(0.193407\pi\)
\(72\) −294.758 124.277i −0.482466 0.203420i
\(73\) 277.621 + 480.854i 0.445111 + 0.770955i 0.998060 0.0622601i \(-0.0198308\pi\)
−0.552949 + 0.833215i \(0.686497\pi\)
\(74\) −415.257 + 348.442i −0.652333 + 0.547372i
\(75\) 13.8253 553.523i 0.0212854 0.852204i
\(76\) −122.948 + 697.271i −0.185567 + 1.05240i
\(77\) 435.711 + 365.605i 0.644855 + 0.541098i
\(78\) −647.754 1928.19i −0.940304 2.79903i
\(79\) 297.594 + 108.315i 0.423821 + 0.154258i 0.545121 0.838358i \(-0.316484\pi\)
−0.121299 + 0.992616i \(0.538706\pi\)
\(80\) 148.637 0.207726
\(81\) 197.551 701.723i 0.270989 0.962583i
\(82\) 250.629 0.337529
\(83\) 363.168 + 132.182i 0.480276 + 0.174806i 0.570802 0.821088i \(-0.306633\pi\)
−0.0905258 + 0.995894i \(0.528855\pi\)
\(84\) 363.061 + 1080.73i 0.471586 + 1.40378i
\(85\) −249.152 209.064i −0.317934 0.266778i
\(86\) 72.8087 412.919i 0.0912926 0.517746i
\(87\) 2.44381 97.8428i 0.00301154 0.120573i
\(88\) 252.614 211.969i 0.306009 0.256772i
\(89\) 566.411 + 981.053i 0.674601 + 1.16844i 0.976585 + 0.215130i \(0.0690177\pi\)
−0.301984 + 0.953313i \(0.597649\pi\)
\(90\) −62.3687 498.001i −0.0730471 0.583266i
\(91\) −924.012 + 1600.44i −1.06443 + 1.84364i
\(92\) −267.021 1514.35i −0.302596 1.71611i
\(93\) −65.1807 + 166.059i −0.0726766 + 0.185156i
\(94\) −428.806 + 156.072i −0.470510 + 0.171252i
\(95\) −266.101 + 96.8530i −0.287383 + 0.104599i
\(96\) −1256.82 + 189.385i −1.33618 + 0.201344i
\(97\) −194.560 1103.40i −0.203655 1.15499i −0.899542 0.436835i \(-0.856099\pi\)
0.695886 0.718152i \(-0.255012\pi\)
\(98\) 161.421 279.590i 0.166388 0.288193i
\(99\) 550.859 + 511.201i 0.559226 + 0.518966i
\(100\) 572.063 + 990.841i 0.572063 + 0.990841i
\(101\) 1215.42 1019.86i 1.19741 1.00475i 0.197711 0.980260i \(-0.436649\pi\)
0.999700 0.0244867i \(-0.00779513\pi\)
\(102\) 1453.57 + 888.333i 1.41102 + 0.862334i
\(103\) 177.305 1005.55i 0.169616 0.961938i −0.774561 0.632499i \(-0.782029\pi\)
0.944177 0.329439i \(-0.106860\pi\)
\(104\) 820.770 + 688.708i 0.773876 + 0.649359i
\(105\) −301.731 + 341.876i −0.280437 + 0.317749i
\(106\) −2456.29 894.016i −2.25071 0.819193i
\(107\) −1325.51 −1.19759 −0.598796 0.800902i \(-0.704354\pi\)
−0.598796 + 0.800902i \(0.704354\pi\)
\(108\) 407.817 + 1450.11i 0.363354 + 1.29201i
\(109\) 860.346 0.756020 0.378010 0.925801i \(-0.376608\pi\)
0.378010 + 0.925801i \(0.376608\pi\)
\(110\) 486.188 + 176.958i 0.421420 + 0.153385i
\(111\) 637.813 + 128.962i 0.545392 + 0.110275i
\(112\) 541.821 + 454.642i 0.457119 + 0.383568i
\(113\) 24.2841 137.722i 0.0202165 0.114653i −0.973030 0.230680i \(-0.925905\pi\)
0.993246 + 0.116027i \(0.0370160\pi\)
\(114\) 1302.60 709.294i 1.07017 0.582732i
\(115\) 471.129 395.325i 0.382027 0.320558i
\(116\) 101.120 + 175.145i 0.0809375 + 0.140188i
\(117\) −1324.92 + 2051.03i −1.04691 + 1.62066i
\(118\) 901.232 1560.98i 0.703094 1.21780i
\(119\) −268.755 1524.19i −0.207032 1.17414i
\(120\) 164.823 + 206.697i 0.125385 + 0.157240i
\(121\) 522.730 190.258i 0.392735 0.142944i
\(122\) −2197.50 + 799.824i −1.63075 + 0.593546i
\(123\) −187.574 235.228i −0.137504 0.172438i
\(124\) −64.0105 363.021i −0.0463573 0.262905i
\(125\) −497.195 + 861.167i −0.355764 + 0.616201i
\(126\) 1295.91 2006.12i 0.916259 1.41841i
\(127\) −588.559 1019.41i −0.411229 0.712270i 0.583795 0.811901i \(-0.301567\pi\)
−0.995024 + 0.0996308i \(0.968234\pi\)
\(128\) 1093.71 917.734i 0.755246 0.633727i
\(129\) −442.036 + 240.698i −0.301698 + 0.164281i
\(130\) −291.912 + 1655.52i −0.196942 + 1.11691i
\(131\) 1301.88 + 1092.41i 0.868289 + 0.728581i 0.963737 0.266854i \(-0.0859841\pi\)
−0.0954484 + 0.995434i \(0.530429\pi\)
\(132\) −1522.08 307.757i −1.00364 0.202930i
\(133\) −1266.26 460.881i −0.825554 0.300477i
\(134\) 264.038 0.170220
\(135\) −420.722 + 431.245i −0.268222 + 0.274931i
\(136\) −897.319 −0.565768
\(137\) −1270.95 462.589i −0.792589 0.288479i −0.0861773 0.996280i \(-0.527465\pi\)
−0.706412 + 0.707801i \(0.749687\pi\)
\(138\) −2131.54 + 2415.14i −1.31485 + 1.48979i
\(139\) −559.784 469.715i −0.341585 0.286624i 0.455816 0.890074i \(-0.349348\pi\)
−0.797400 + 0.603451i \(0.793792\pi\)
\(140\) 163.614 927.904i 0.0987710 0.560158i
\(141\) 467.405 + 285.650i 0.279167 + 0.170610i
\(142\) −332.914 + 279.348i −0.196743 + 0.165087i
\(143\) −1258.57 2179.92i −0.735995 1.27478i
\(144\) 685.012 + 635.696i 0.396419 + 0.367880i
\(145\) −40.4434 + 70.0501i −0.0231631 + 0.0401196i
\(146\) 417.353 + 2366.93i 0.236578 + 1.34170i
\(147\) −383.219 + 57.7459i −0.215016 + 0.0324000i
\(148\) −1263.52 + 459.884i −0.701763 + 0.255421i
\(149\) 1396.75 508.374i 0.767959 0.279514i 0.0718164 0.997418i \(-0.477120\pi\)
0.696142 + 0.717904i \(0.254898\pi\)
\(150\) 875.714 2231.03i 0.476678 1.21442i
\(151\) 544.061 + 3085.52i 0.293212 + 1.66289i 0.674381 + 0.738384i \(0.264411\pi\)
−0.381168 + 0.924506i \(0.624478\pi\)
\(152\) −390.631 + 676.594i −0.208450 + 0.361046i
\(153\) −254.119 2029.08i −0.134276 1.07217i
\(154\) 1231.02 + 2132.19i 0.644145 + 1.11569i
\(155\) 112.939 94.7674i 0.0585259 0.0491091i
\(156\) 125.981 5043.91i 0.0646576 2.58869i
\(157\) 30.6204 173.657i 0.0155655 0.0882761i −0.976035 0.217612i \(-0.930173\pi\)
0.991601 + 0.129336i \(0.0412845\pi\)
\(158\) 1050.13 + 881.162i 0.528757 + 0.443680i
\(159\) 999.232 + 2974.44i 0.498392 + 1.48358i
\(160\) 987.067 + 359.263i 0.487715 + 0.177514i
\(161\) 2926.59 1.43260
\(162\) 1842.44 2561.84i 0.893554 1.24245i
\(163\) 751.835 0.361278 0.180639 0.983549i \(-0.442183\pi\)
0.180639 + 0.983549i \(0.442183\pi\)
\(164\) 584.187 + 212.627i 0.278154 + 0.101240i
\(165\) −197.784 588.750i −0.0933181 0.277783i
\(166\) 1281.52 + 1075.33i 0.599190 + 0.502780i
\(167\) 94.7870 537.564i 0.0439212 0.249089i −0.954940 0.296799i \(-0.904081\pi\)
0.998861 + 0.0477092i \(0.0151921\pi\)
\(168\) −31.4115 + 1257.62i −0.0144253 + 0.577544i
\(169\) 4582.08 3844.82i 2.08561 1.75003i
\(170\) −703.933 1219.25i −0.317584 0.550071i
\(171\) −1640.59 691.715i −0.733678 0.309338i
\(172\) 520.017 900.695i 0.230528 0.399287i
\(173\) 373.013 + 2115.46i 0.163929 + 0.929685i 0.950162 + 0.311756i \(0.100917\pi\)
−0.786234 + 0.617929i \(0.787972\pi\)
\(174\) 154.795 394.366i 0.0674422 0.171821i
\(175\) −2046.19 + 744.753i −0.883872 + 0.321703i
\(176\) −905.293 + 329.500i −0.387722 + 0.141119i
\(177\) −2139.55 + 322.401i −0.908579 + 0.136911i
\(178\) 851.496 + 4829.08i 0.358552 + 2.03345i
\(179\) −1061.43 + 1838.46i −0.443213 + 0.767668i −0.997926 0.0643740i \(-0.979495\pi\)
0.554712 + 0.832042i \(0.312828\pi\)
\(180\) 277.116 1213.69i 0.114750 0.502574i
\(181\) −1739.32 3012.59i −0.714269 1.23715i −0.963241 0.268639i \(-0.913426\pi\)
0.248972 0.968511i \(-0.419907\pi\)
\(182\) −6127.91 + 5141.92i −2.49577 + 2.09420i
\(183\) 2395.31 + 1463.87i 0.967574 + 0.591323i
\(184\) 294.641 1670.99i 0.118050 0.669494i
\(185\) −411.967 345.681i −0.163721 0.137378i
\(186\) −510.975 + 578.960i −0.201433 + 0.228233i
\(187\) 1980.95 + 721.008i 0.774661 + 0.281954i
\(188\) −1131.90 −0.439109
\(189\) −2852.72 + 285.125i −1.09791 + 0.109734i
\(190\) −1225.78 −0.468038
\(191\) −1841.41 670.219i −0.697591 0.253902i −0.0312090 0.999513i \(-0.509936\pi\)
−0.666382 + 0.745611i \(0.732158\pi\)
\(192\) −3982.31 805.201i −1.49687 0.302658i
\(193\) −3095.46 2597.40i −1.15449 0.968731i −0.154673 0.987966i \(-0.549433\pi\)
−0.999815 + 0.0192349i \(0.993877\pi\)
\(194\) 842.178 4776.23i 0.311675 1.76759i
\(195\) 1772.26 965.031i 0.650841 0.354397i
\(196\) 613.450 514.746i 0.223561 0.187590i
\(197\) −432.661 749.391i −0.156476 0.271025i 0.777119 0.629353i \(-0.216680\pi\)
−0.933596 + 0.358328i \(0.883347\pi\)
\(198\) 1483.84 + 2894.89i 0.532586 + 1.03904i
\(199\) −1079.38 + 1869.54i −0.384499 + 0.665971i −0.991700 0.128577i \(-0.958959\pi\)
0.607201 + 0.794548i \(0.292292\pi\)
\(200\) 219.225 + 1243.29i 0.0775078 + 0.439569i
\(201\) −197.609 247.814i −0.0693446 0.0869623i
\(202\) 6453.68 2348.95i 2.24792 0.818175i
\(203\) −361.693 + 131.645i −0.125053 + 0.0455157i
\(204\) 2634.45 + 3303.76i 0.904160 + 1.13387i
\(205\) 43.1765 + 244.866i 0.0147101 + 0.0834252i
\(206\) 2209.90 3827.65i 0.747431 1.29459i
\(207\) 3862.00 + 193.043i 1.29675 + 0.0648183i
\(208\) −1565.08 2710.80i −0.521725 0.903655i
\(209\) 1406.02 1179.79i 0.465343 0.390469i
\(210\) −1733.45 + 943.903i −0.569618 + 0.310169i
\(211\) −497.639 + 2822.25i −0.162364 + 0.920814i 0.789376 + 0.613910i \(0.210404\pi\)
−0.951740 + 0.306904i \(0.900707\pi\)
\(212\) −4966.85 4167.69i −1.60908 1.35018i
\(213\) 511.339 + 103.390i 0.164490 + 0.0332590i
\(214\) −5391.64 1962.40i −1.72227 0.626853i
\(215\) 415.966 0.131947
\(216\) −124.406 + 1657.51i −0.0391886 + 0.522127i
\(217\) 701.565 0.219471
\(218\) 3499.53 + 1273.72i 1.08724 + 0.395722i
\(219\) 1909.13 2163.14i 0.589073 0.667449i
\(220\) 983.121 + 824.936i 0.301282 + 0.252805i
\(221\) −1189.38 + 6745.33i −0.362021 + 2.05312i
\(222\) 2403.43 + 1468.83i 0.726612 + 0.444061i
\(223\) −3842.06 + 3223.87i −1.15374 + 0.968101i −0.999800 0.0199798i \(-0.993640\pi\)
−0.153937 + 0.988081i \(0.549195\pi\)
\(224\) 2499.23 + 4328.80i 0.745478 + 1.29121i
\(225\) −2749.33 + 847.824i −0.814616 + 0.251207i
\(226\) 302.672 524.244i 0.0890862 0.154302i
\(227\) −422.074 2393.70i −0.123410 0.699893i −0.982240 0.187631i \(-0.939919\pi\)
0.858830 0.512261i \(-0.171192\pi\)
\(228\) 3637.95 548.190i 1.05671 0.159231i
\(229\) −1146.21 + 417.187i −0.330759 + 0.120386i −0.502061 0.864832i \(-0.667425\pi\)
0.171302 + 0.985219i \(0.445203\pi\)
\(230\) 2501.63 910.518i 0.717184 0.261034i
\(231\) 1079.86 2751.13i 0.307574 0.783597i
\(232\) 38.7511 + 219.768i 0.0109661 + 0.0621918i
\(233\) 2692.95 4664.33i 0.757173 1.31146i −0.187114 0.982338i \(-0.559913\pi\)
0.944287 0.329124i \(-0.106753\pi\)
\(234\) −8425.70 + 6381.20i −2.35387 + 1.78270i
\(235\) −226.355 392.058i −0.0628330 0.108830i
\(236\) 3424.95 2873.88i 0.944684 0.792684i
\(237\) 41.0888 1645.07i 0.0112616 0.450881i
\(238\) 1163.34 6597.65i 0.316842 1.79690i
\(239\) 2129.60 + 1786.95i 0.576371 + 0.483633i 0.883753 0.467954i \(-0.155009\pi\)
−0.307382 + 0.951586i \(0.599453\pi\)
\(240\) −245.951 732.131i −0.0661504 0.196912i
\(241\) 2580.73 + 939.309i 0.689790 + 0.251063i 0.663045 0.748579i \(-0.269264\pi\)
0.0267449 + 0.999642i \(0.491486\pi\)
\(242\) 2407.92 0.639616
\(243\) −3783.32 + 188.088i −0.998766 + 0.0496538i
\(244\) −5800.65 −1.52192
\(245\) 300.969 + 109.544i 0.0784825 + 0.0285653i
\(246\) −414.720 1234.51i −0.107486 0.319957i
\(247\) 4568.31 + 3833.27i 1.17682 + 0.987470i
\(248\) 70.6314 400.571i 0.0180851 0.102566i
\(249\) 50.1427 2007.56i 0.0127617 0.510940i
\(250\) −3297.32 + 2766.78i −0.834163 + 0.699946i
\(251\) 3302.16 + 5719.51i 0.830401 + 1.43830i 0.897721 + 0.440565i \(0.145222\pi\)
−0.0673196 + 0.997731i \(0.521445\pi\)
\(252\) 4722.54 3576.61i 1.18052 0.894069i
\(253\) −1993.12 + 3452.19i −0.495283 + 0.857855i
\(254\) −884.790 5017.90i −0.218570 1.23957i
\(255\) −617.496 + 1573.18i −0.151643 + 0.386337i
\(256\) −70.5543 + 25.6797i −0.0172252 + 0.00626945i
\(257\) −224.196 + 81.6008i −0.0544163 + 0.0198059i −0.369085 0.929396i \(-0.620329\pi\)
0.314669 + 0.949202i \(0.398107\pi\)
\(258\) −2154.37 + 324.634i −0.519864 + 0.0783365i
\(259\) −444.380 2520.20i −0.106612 0.604625i
\(260\) −2084.90 + 3611.16i −0.497309 + 0.861364i
\(261\) −485.982 + 149.865i −0.115255 + 0.0355417i
\(262\) 3678.22 + 6370.86i 0.867332 + 1.50226i
\(263\) 198.264 166.363i 0.0464847 0.0390053i −0.619249 0.785194i \(-0.712563\pi\)
0.665734 + 0.746189i \(0.268119\pi\)
\(264\) −1462.09 893.540i −0.340853 0.208309i
\(265\) 450.307 2553.82i 0.104385 0.591999i
\(266\) −4468.29 3749.34i −1.02996 0.864237i
\(267\) 3895.06 4413.30i 0.892787 1.01157i
\(268\) 615.442 + 224.003i 0.140276 + 0.0510565i
\(269\) −1093.35 −0.247816 −0.123908 0.992294i \(-0.539543\pi\)
−0.123908 + 0.992294i \(0.539543\pi\)
\(270\) −2349.77 + 1131.26i −0.529639 + 0.254985i
\(271\) −948.590 −0.212630 −0.106315 0.994332i \(-0.533905\pi\)
−0.106315 + 0.994332i \(0.533905\pi\)
\(272\) 2463.38 + 896.598i 0.549134 + 0.199869i
\(273\) 9412.15 + 1903.08i 2.08663 + 0.421904i
\(274\) −4484.85 3763.23i −0.988831 0.829727i
\(275\) 515.030 2920.88i 0.112936 0.640493i
\(276\) −7017.31 + 3821.07i −1.53041 + 0.833339i
\(277\) −567.209 + 475.945i −0.123034 + 0.103237i −0.702228 0.711952i \(-0.747811\pi\)
0.579195 + 0.815189i \(0.303367\pi\)
\(278\) −1581.56 2739.35i −0.341208 0.590990i
\(279\) 925.802 + 46.2763i 0.198661 + 0.00993006i
\(280\) 519.838 900.386i 0.110951 0.192173i
\(281\) 563.337 + 3194.84i 0.119594 + 0.678251i 0.984373 + 0.176098i \(0.0563474\pi\)
−0.864779 + 0.502153i \(0.832541\pi\)
\(282\) 1478.31 + 1853.89i 0.312170 + 0.391480i
\(283\) 1534.20 558.402i 0.322256 0.117292i −0.175826 0.984421i \(-0.556260\pi\)
0.498083 + 0.867129i \(0.334038\pi\)
\(284\) −1012.97 + 368.692i −0.211651 + 0.0770348i
\(285\) 917.385 + 1150.46i 0.190671 + 0.239113i
\(286\) −1892.04 10730.3i −0.391184 2.21851i
\(287\) −591.593 + 1024.67i −0.121675 + 0.210747i
\(288\) 3012.51 + 5877.24i 0.616369 + 1.20250i
\(289\) −411.645 712.990i −0.0837869 0.145123i
\(290\) −268.215 + 225.059i −0.0543107 + 0.0455721i
\(291\) −5113.03 + 2784.15i −1.03000 + 0.560859i
\(292\) −1035.23 + 5871.09i −0.207474 + 1.17664i
\(293\) −4096.39 3437.28i −0.816771 0.685352i 0.135443 0.990785i \(-0.456754\pi\)
−0.952214 + 0.305433i \(0.901199\pi\)
\(294\) −1644.27 332.462i −0.326175 0.0659509i
\(295\) 1680.34 + 611.594i 0.331638 + 0.120706i
\(296\) −1483.69 −0.291344
\(297\) 1606.48 3559.22i 0.313863 0.695378i
\(298\) 6434.01 1.25071
\(299\) −12170.6 4429.74i −2.35400 0.856785i
\(300\) 3933.93 4457.33i 0.757084 0.857814i
\(301\) 1516.31 + 1272.34i 0.290361 + 0.243642i
\(302\) −2355.04 + 13356.1i −0.448733 + 2.54489i
\(303\) −7034.61 4299.13i −1.33376 0.815111i
\(304\) 1748.44 1467.11i 0.329868 0.276792i
\(305\) −1160.00 2009.18i −0.217775 0.377197i
\(306\) 1970.37 8629.68i 0.368099 1.61218i
\(307\) 943.563 1634.30i 0.175414 0.303825i −0.764891 0.644160i \(-0.777207\pi\)
0.940304 + 0.340335i \(0.110540\pi\)
\(308\) 1060.47 + 6014.23i 0.196188 + 1.11264i
\(309\) −5246.36 + 790.555i −0.965874 + 0.145544i
\(310\) 599.692 218.270i 0.109872 0.0399900i
\(311\) −1806.45 + 657.493i −0.329370 + 0.119881i −0.501412 0.865209i \(-0.667186\pi\)
0.172042 + 0.985090i \(0.444964\pi\)
\(312\) 2034.18 5182.43i 0.369112 0.940376i
\(313\) −14.1198 80.0776i −0.00254984 0.0144609i 0.983506 0.180874i \(-0.0578926\pi\)
−0.986056 + 0.166413i \(0.946781\pi\)
\(314\) 381.647 661.032i 0.0685910 0.118803i
\(315\) 2183.24 + 920.509i 0.390512 + 0.164650i
\(316\) 1700.17 + 2944.78i 0.302665 + 0.524230i
\(317\) −1818.65 + 1526.03i −0.322226 + 0.270380i −0.789523 0.613721i \(-0.789672\pi\)
0.467297 + 0.884100i \(0.345228\pi\)
\(318\) −339.140 + 13578.1i −0.0598051 + 2.39441i
\(319\) 91.0386 516.306i 0.0159786 0.0906193i
\(320\) 2572.19 + 2158.33i 0.449344 + 0.377044i
\(321\) 2193.35 + 6529.00i 0.381373 + 1.13524i
\(322\) 11904.2 + 4332.76i 2.06023 + 0.749861i
\(323\) −4994.38 −0.860355
\(324\) 6467.90 4408.28i 1.10904 0.755878i
\(325\) 9636.63 1.64475
\(326\) 3058.15 + 1113.08i 0.519556 + 0.189103i
\(327\) −1423.63 4237.75i −0.240755 0.716661i
\(328\) 525.493 + 440.941i 0.0884618 + 0.0742283i
\(329\) 374.081 2121.52i 0.0626862 0.355511i
\(330\) 67.1281 2687.60i 0.0111978 0.448326i
\(331\) −803.684 + 674.371i −0.133458 + 0.111984i −0.707073 0.707140i \(-0.749985\pi\)
0.573615 + 0.819125i \(0.305540\pi\)
\(332\) 2074.80 + 3593.66i 0.342981 + 0.594060i
\(333\) −420.178 3355.03i −0.0691460 0.552116i
\(334\) 1181.41 2046.25i 0.193544 0.335228i
\(335\) 45.4865 + 257.967i 0.00741848 + 0.0420723i
\(336\) 1342.84 3421.12i 0.218030 0.555468i
\(337\) −4433.91 + 1613.81i −0.716708 + 0.260860i −0.674528 0.738250i \(-0.735653\pi\)
−0.0421803 + 0.999110i \(0.513430\pi\)
\(338\) 24330.1 8855.45i 3.91534 1.42507i
\(339\) −718.553 + 108.276i −0.115122 + 0.0173474i
\(340\) −606.409 3439.12i −0.0967269 0.548566i
\(341\) −477.792 + 827.561i −0.0758765 + 0.131422i
\(342\) −5649.16 5242.46i −0.893192 0.828889i
\(343\) −2742.53 4750.20i −0.431728 0.747775i
\(344\) 879.120 737.669i 0.137788 0.115618i
\(345\) −2726.81 1666.46i −0.425526 0.260056i
\(346\) −1614.63 + 9157.05i −0.250877 + 1.42279i
\(347\) 469.613 + 394.052i 0.0726517 + 0.0609620i 0.678390 0.734702i \(-0.262678\pi\)
−0.605739 + 0.795664i \(0.707122\pi\)
\(348\) 695.376 787.895i 0.107115 0.121367i
\(349\) −1251.81 455.622i −0.192000 0.0698821i 0.244231 0.969717i \(-0.421465\pi\)
−0.436230 + 0.899835i \(0.643687\pi\)
\(350\) −9425.64 −1.43949
\(351\) 12295.0 + 3132.19i 1.86968 + 0.476308i
\(352\) −6808.29 −1.03092
\(353\) 8349.42 + 3038.94i 1.25891 + 0.458206i 0.883403 0.468614i \(-0.155247\pi\)
0.375506 + 0.926820i \(0.377469\pi\)
\(354\) −9180.11 1856.17i −1.37830 0.278684i
\(355\) −330.276 277.135i −0.0493782 0.0414332i
\(356\) −2112.11 + 11978.4i −0.314443 + 1.78329i
\(357\) −7062.88 + 3845.89i −1.04708 + 0.570157i
\(358\) −7039.26 + 5906.64i −1.03921 + 0.871999i
\(359\) −5829.25 10096.6i −0.856980 1.48433i −0.874796 0.484492i \(-0.839005\pi\)
0.0178157 0.999841i \(-0.494329\pi\)
\(360\) 745.382 1153.88i 0.109125 0.168930i
\(361\) 1255.29 2174.22i 0.183013 0.316988i
\(362\) −2614.75 14829.0i −0.379636 2.15302i
\(363\) −1802.11 2259.96i −0.260569 0.326769i
\(364\) −18645.7 + 6786.47i −2.68489 + 0.977219i
\(365\) −2240.60 + 815.511i −0.321310 + 0.116947i
\(366\) 7575.88 + 9500.60i 1.08196 + 1.35684i
\(367\) 168.433 + 955.230i 0.0239567 + 0.135865i 0.994440 0.105302i \(-0.0335809\pi\)
−0.970484 + 0.241167i \(0.922470\pi\)
\(368\) −2478.51 + 4292.91i −0.351091 + 0.608108i
\(369\) −848.269 + 1313.16i −0.119672 + 0.185258i
\(370\) −1163.93 2015.99i −0.163541 0.283261i
\(371\) 9452.97 7931.99i 1.32284 1.11000i
\(372\) −1682.19 + 915.989i −0.234456 + 0.127666i
\(373\) −1211.48 + 6870.64i −0.168172 + 0.953749i 0.777562 + 0.628806i \(0.216456\pi\)
−0.945734 + 0.324943i \(0.894655\pi\)
\(374\) 6990.25 + 5865.52i 0.966464 + 0.810959i
\(375\) 5064.51 + 1024.02i 0.697414 + 0.141013i
\(376\) −1173.66 427.176i −0.160975 0.0585903i
\(377\) 1703.41 0.232705
\(378\) −12025.8 3063.62i −1.63635 0.416866i
\(379\) −328.370 −0.0445045 −0.0222523 0.999752i \(-0.507084\pi\)
−0.0222523 + 0.999752i \(0.507084\pi\)
\(380\) −2857.14 1039.91i −0.385706 0.140385i
\(381\) −4047.37 + 4585.87i −0.544233 + 0.616643i
\(382\) −6497.85 5452.34i −0.870311 0.730278i
\(383\) 89.5505 507.866i 0.0119473 0.0677565i −0.978251 0.207424i \(-0.933492\pi\)
0.990199 + 0.139667i \(0.0446033\pi\)
\(384\) −6330.21 3868.65i −0.841243 0.514117i
\(385\) −1871.09 + 1570.03i −0.247687 + 0.207834i
\(386\) −8745.65 15147.9i −1.15322 1.99743i
\(387\) 1917.04 + 1779.02i 0.251805 + 0.233677i
\(388\) 6015.03 10418.3i 0.787028 1.36317i
\(389\) 2269.48 + 12870.8i 0.295802 + 1.67758i 0.663924 + 0.747800i \(0.268890\pi\)
−0.368122 + 0.929778i \(0.619999\pi\)
\(390\) 8637.51 1301.55i 1.12148 0.168992i
\(391\) 10192.8 3709.87i 1.31834 0.479836i
\(392\) 830.344 302.220i 0.106986 0.0389399i
\(393\) 3226.56 8220.22i 0.414144 1.05510i
\(394\) −650.427 3688.76i −0.0831676 0.471667i
\(395\) −679.991 + 1177.78i −0.0866179 + 0.150027i
\(396\) 1002.72 + 8006.48i 0.127243 + 1.01601i
\(397\) 3450.77 + 5976.90i 0.436244 + 0.755597i 0.997396 0.0721155i \(-0.0229750\pi\)
−0.561152 + 0.827713i \(0.689642\pi\)
\(398\) −7158.28 + 6006.51i −0.901539 + 0.756481i
\(399\) −174.833 + 6999.77i −0.0219363 + 0.878263i
\(400\) 640.457 3632.21i 0.0800571 0.454026i
\(401\) −3317.10 2783.38i −0.413088 0.346622i 0.412438 0.910986i \(-0.364677\pi\)
−0.825526 + 0.564363i \(0.809122\pi\)
\(402\) −436.909 1300.56i −0.0542065 0.161358i
\(403\) −2917.55 1061.90i −0.360629 0.131258i
\(404\) 17035.5 2.09790
\(405\) 2820.33 + 1358.74i 0.346033 + 0.166707i
\(406\) −1666.11 −0.203664
\(407\) 3275.45 + 1192.17i 0.398914 + 0.145193i
\(408\) 1484.81 + 4419.87i 0.180169 + 0.536314i
\(409\) 2843.40 + 2385.89i 0.343758 + 0.288447i 0.798278 0.602289i \(-0.205745\pi\)
−0.454520 + 0.890737i \(0.650189\pi\)
\(410\) −186.895 + 1059.93i −0.0225124 + 0.127674i
\(411\) −175.481 + 7025.70i −0.0210604 + 0.843193i
\(412\) 8398.27 7046.99i 1.00426 0.842670i
\(413\) 4254.59 + 7369.17i 0.506912 + 0.877997i
\(414\) 15423.2 + 6502.83i 1.83094 + 0.771973i
\(415\) −829.827 + 1437.30i −0.0981557 + 0.170011i
\(416\) −3841.24 21784.8i −0.452722 2.56751i
\(417\) −1387.36 + 3534.54i −0.162924 + 0.415077i
\(418\) 7465.78 2717.32i 0.873596 0.317963i
\(419\) 8483.56 3087.76i 0.989139 0.360017i 0.203752 0.979023i \(-0.434686\pi\)
0.785387 + 0.619006i \(0.212464\pi\)
\(420\) −4841.25 + 729.511i −0.562450 + 0.0847536i
\(421\) −2207.15 12517.4i −0.255510 1.44907i −0.794760 0.606924i \(-0.792403\pi\)
0.539250 0.842146i \(-0.318708\pi\)
\(422\) −6202.47 + 10743.0i −0.715478 + 1.23924i
\(423\) 633.585 2774.94i 0.0728274 0.318964i
\(424\) −3577.21 6195.91i −0.409728 0.709670i
\(425\) −6182.42 + 5187.67i −0.705627 + 0.592091i
\(426\) 1926.85 + 1177.57i 0.219146 + 0.133929i
\(427\) 1917.05 10872.1i 0.217266 1.23218i
\(428\) −10902.4 9148.22i −1.23128 1.03317i
\(429\) −8654.89 + 9806.43i −0.974038 + 1.10363i
\(430\) 1691.98 + 615.829i 0.189754 + 0.0690649i
\(431\) 5967.69 0.666945 0.333473 0.942760i \(-0.391780\pi\)
0.333473 + 0.942760i \(0.391780\pi\)
\(432\) 1997.71 4426.02i 0.222488 0.492933i
\(433\) 4953.29 0.549746 0.274873 0.961481i \(-0.411364\pi\)
0.274873 + 0.961481i \(0.411364\pi\)
\(434\) 2853.67 + 1038.65i 0.315624 + 0.114878i
\(435\) 411.964 + 83.2967i 0.0454072 + 0.00918109i
\(436\) 7076.39 + 5937.79i 0.777288 + 0.652222i
\(437\) 1639.94 9300.54i 0.179517 1.01809i
\(438\) 10968.0 5972.32i 1.19651 0.651526i
\(439\) −7735.92 + 6491.20i −0.841037 + 0.705714i −0.957797 0.287447i \(-0.907194\pi\)
0.116760 + 0.993160i \(0.462749\pi\)
\(440\) 708.059 + 1226.39i 0.0767168 + 0.132877i
\(441\) 918.554 + 1792.05i 0.0991852 + 0.193505i
\(442\) −14824.2 + 25676.3i −1.59529 + 2.76312i
\(443\) 3162.44 + 17935.1i 0.339170 + 1.92353i 0.381382 + 0.924417i \(0.375448\pi\)
−0.0422128 + 0.999109i \(0.513441\pi\)
\(444\) 4355.99 + 5462.68i 0.465600 + 0.583890i
\(445\) −4571.34 + 1663.83i −0.486971 + 0.177243i
\(446\) −20400.8 + 7425.27i −2.16593 + 0.788334i
\(447\) −4815.28 6038.65i −0.509519 0.638967i
\(448\) 2774.57 + 15735.4i 0.292603 + 1.65944i
\(449\) 4502.96 7799.36i 0.473292 0.819766i −0.526241 0.850336i \(-0.676399\pi\)
0.999533 + 0.0305701i \(0.00973228\pi\)
\(450\) −12438.3 621.730i −1.30299 0.0651303i
\(451\) −805.795 1395.68i −0.0841317 0.145720i
\(452\) 1150.25 965.171i 0.119697 0.100438i
\(453\) 14297.9 7785.51i 1.48295 0.807495i
\(454\) 1827.00 10361.5i 0.188867 1.07112i
\(455\) −6079.35 5101.18i −0.626383 0.525598i
\(456\) 3979.04 + 804.539i 0.408631 + 0.0826228i
\(457\) −17076.0 6215.16i −1.74788 0.636177i −0.748253 0.663413i \(-0.769107\pi\)
−0.999629 + 0.0272358i \(0.991330\pi\)
\(458\) −5279.94 −0.538680
\(459\) −9574.04 + 4609.25i −0.973590 + 0.468718i
\(460\) 6603.45 0.669320
\(461\) −7453.64 2712.90i −0.753038 0.274084i −0.0631546 0.998004i \(-0.520116\pi\)
−0.689884 + 0.723920i \(0.742338\pi\)
\(462\) 8465.40 9591.72i 0.852481 0.965903i
\(463\) −5517.65 4629.86i −0.553838 0.464725i 0.322400 0.946603i \(-0.395510\pi\)
−0.876238 + 0.481878i \(0.839955\pi\)
\(464\) 113.210 642.044i 0.0113268 0.0642373i
\(465\) −653.673 399.486i −0.0651900 0.0398402i
\(466\) 17859.3 14985.7i 1.77535 1.48970i
\(467\) 8196.21 + 14196.3i 0.812153 + 1.40669i 0.911354 + 0.411622i \(0.135038\pi\)
−0.0992017 + 0.995067i \(0.531629\pi\)
\(468\) −25052.9 + 7725.69i −2.47451 + 0.763078i
\(469\) −623.244 + 1079.49i −0.0613619 + 0.106282i
\(470\) −340.283 1929.84i −0.0333959 0.189398i
\(471\) −906.040 + 136.528i −0.0886372 + 0.0133564i
\(472\) 4635.89 1687.33i 0.452085 0.164546i
\(473\) −2533.50 + 922.120i −0.246280 + 0.0896387i
\(474\) 2602.62 6630.62i 0.252199 0.642520i
\(475\) 1220.18 + 6920.00i 0.117865 + 0.668445i
\(476\) 8308.86 14391.4i 0.800076 1.38577i
\(477\) 12997.6 9843.71i 1.24763 0.944890i
\(478\) 6016.80 + 10421.4i 0.575736 + 0.997205i
\(479\) 14259.6 11965.3i 1.36021 1.14135i 0.384289 0.923213i \(-0.374447\pi\)
0.975918 0.218137i \(-0.0699979\pi\)
\(480\) 136.284 5456.41i 0.0129594 0.518854i
\(481\) −1966.61 + 11153.2i −0.186424 + 1.05726i
\(482\) 9106.71 + 7641.43i 0.860579 + 0.722111i
\(483\) −4842.68 14415.3i −0.456210 1.35801i
\(484\) 5612.58 + 2042.81i 0.527101 + 0.191849i
\(485\) 4811.48 0.450470
\(486\) −15667.4 4836.06i −1.46232 0.451375i
\(487\) −16907.0 −1.57317 −0.786583 0.617485i \(-0.788152\pi\)
−0.786583 + 0.617485i \(0.788152\pi\)
\(488\) −6014.64 2189.15i −0.557930 0.203070i
\(489\) −1244.07 3703.27i −0.115049 0.342469i
\(490\) 1062.04 + 891.157i 0.0979144 + 0.0821599i
\(491\) −1236.26 + 7011.21i −0.113629 + 0.644422i 0.873791 + 0.486302i \(0.161654\pi\)
−0.987420 + 0.158120i \(0.949457\pi\)
\(492\) 80.6588 3229.33i 0.00739101 0.295913i
\(493\) −1092.83 + 916.992i −0.0998347 + 0.0837713i
\(494\) 12906.9 + 22355.4i 1.17553 + 2.03607i
\(495\) −2572.69 + 1948.43i −0.233604 + 0.176920i
\(496\) −594.151 + 1029.10i −0.0537866 + 0.0931612i
\(497\) −356.262 2020.46i −0.0321540 0.182354i
\(498\) 3176.11 8091.68i 0.285793 0.728106i
\(499\) 20458.7 7446.35i 1.83538 0.668025i 0.844117 0.536159i \(-0.180125\pi\)
0.991268 0.131866i \(-0.0420969\pi\)
\(500\) −10032.9 + 3651.68i −0.897371 + 0.326616i
\(501\) −2804.69 + 422.629i −0.250108 + 0.0376879i
\(502\) 4964.20 + 28153.4i 0.441361 + 2.50308i
\(503\) −5865.29 + 10159.0i −0.519921 + 0.900530i 0.479811 + 0.877372i \(0.340705\pi\)
−0.999732 + 0.0231576i \(0.992628\pi\)
\(504\) 6246.56 1926.28i 0.552071 0.170245i
\(505\) 3406.72 + 5900.62i 0.300192 + 0.519948i
\(506\) −13218.1 + 11091.3i −1.16129 + 0.974442i
\(507\) −26520.2 16207.6i −2.32308 1.41973i
\(508\) 2194.70 12446.7i 0.191681 1.08708i
\(509\) −10359.0 8692.25i −0.902073 0.756929i 0.0685211 0.997650i \(-0.478172\pi\)
−0.970595 + 0.240720i \(0.922616\pi\)
\(510\) −4840.77 + 5484.83i −0.420299 + 0.476220i
\(511\) −10662.0 3880.66i −0.923015 0.335950i
\(512\) −11746.9 −1.01396
\(513\) −692.429 + 9225.54i −0.0595936 + 0.793991i
\(514\) −1032.75 −0.0886234
\(515\) 4120.34 + 1499.68i 0.352551 + 0.128318i
\(516\) −5296.98 1071.02i −0.451912 0.0913740i
\(517\) 2247.77 + 1886.10i 0.191212 + 0.160446i
\(518\) 1923.56 10909.0i 0.163159 0.925319i
\(519\) 9802.77 5337.81i 0.829082 0.451453i
\(520\) −3524.66 + 2957.54i −0.297243 + 0.249417i
\(521\) −2309.59 4000.32i −0.194213 0.336386i 0.752429 0.658673i \(-0.228882\pi\)
−0.946642 + 0.322287i \(0.895549\pi\)
\(522\) −2198.64 109.899i −0.184352 0.00921487i
\(523\) 7043.69 12200.0i 0.588909 1.02002i −0.405467 0.914110i \(-0.632891\pi\)
0.994376 0.105910i \(-0.0337756\pi\)
\(524\) 3168.63 + 17970.2i 0.264165 + 1.49815i
\(525\) 7054.25 + 8846.45i 0.586424 + 0.735411i
\(526\) 1052.75 383.170i 0.0872664 0.0317624i
\(527\) 2443.42 889.331i 0.201968 0.0735102i
\(528\) 3121.00 + 3913.92i 0.257243 + 0.322598i
\(529\) 1448.88 + 8217.00i 0.119083 + 0.675351i
\(530\) 5612.53 9721.19i 0.459987 0.796720i
\(531\) 5128.38 + 10005.2i 0.419120 + 0.817679i
\(532\) −7234.22 12530.0i −0.589555 1.02114i
\(533\) 4011.17 3365.77i 0.325972 0.273523i
\(534\) 22377.3 12184.9i 1.81341 0.987439i
\(535\) 988.440 5605.72i 0.0798766 0.453003i
\(536\) 553.608 + 464.532i 0.0446123 + 0.0374342i
\(537\) 10811.9 + 2186.11i 0.868844 + 0.175675i
\(538\) −4447.27 1618.67i −0.356386 0.129714i
\(539\) −2075.93 −0.165894
\(540\) −6436.76 + 643.344i −0.512952 + 0.0512688i
\(541\) −9754.66 −0.775205 −0.387602 0.921827i \(-0.626697\pi\)
−0.387602 + 0.921827i \(0.626697\pi\)
\(542\) −3858.47 1404.37i −0.305785 0.111297i
\(543\) −11960.9 + 13552.2i −0.945285 + 1.07105i
\(544\) 14191.7 + 11908.3i 1.11850 + 0.938534i
\(545\) −641.562 + 3638.48i −0.0504248 + 0.285973i
\(546\) 35467.2 + 21675.4i 2.77996 + 1.69894i
\(547\) 10465.8 8781.87i 0.818074 0.686446i −0.134446 0.990921i \(-0.542925\pi\)
0.952520 + 0.304475i \(0.0984811\pi\)
\(548\) −7261.02 12576.5i −0.566014 0.980364i
\(549\) 3246.93 14220.7i 0.252415 1.10551i
\(550\) 6419.22 11118.4i 0.497666 0.861984i
\(551\) 215.684 + 1223.21i 0.0166760 + 0.0945741i
\(552\) −8718.24 + 1313.72i −0.672233 + 0.101296i
\(553\) −6081.28 + 2213.40i −0.467635 + 0.170205i
\(554\) −3011.80 + 1096.20i −0.230973 + 0.0840672i
\(555\) −1021.01 + 2601.20i −0.0780893 + 0.198946i
\(556\) −1362.45 7726.85i −0.103922 0.589373i
\(557\) 10118.4 17525.6i 0.769714 1.33318i −0.168004 0.985786i \(-0.553732\pi\)
0.937718 0.347397i \(-0.112934\pi\)
\(558\) 3697.26 + 1558.86i 0.280498 + 0.118265i
\(559\) −4379.95 7586.29i −0.331399 0.574000i
\(560\) −2326.76 + 1952.38i −0.175578 + 0.147327i
\(561\) 273.511 10950.5i 0.0205840 0.824120i
\(562\) −2438.48 + 13829.3i −0.183027 + 1.03800i
\(563\) 17447.3 + 14640.0i 1.30606 + 1.09592i 0.989063 + 0.147494i \(0.0471206\pi\)
0.317002 + 0.948425i \(0.397324\pi\)
\(564\) 1872.98 + 5575.34i 0.139834 + 0.416248i
\(565\) 564.331 + 205.400i 0.0420205 + 0.0152942i
\(566\) 7067.18 0.524833
\(567\) 6124.86 + 13579.7i 0.453650 + 1.00581i
\(568\) −1189.49 −0.0878692
\(569\) 441.835 + 160.815i 0.0325531 + 0.0118484i 0.358245 0.933627i \(-0.383375\pi\)
−0.325692 + 0.945476i \(0.605597\pi\)
\(570\) 2028.31 + 6037.74i 0.149047 + 0.443672i
\(571\) −567.859 476.490i −0.0416185 0.0349221i 0.621741 0.783223i \(-0.286426\pi\)
−0.663360 + 0.748301i \(0.730870\pi\)
\(572\) 4693.14 26616.1i 0.343060 1.94559i
\(573\) −254.244 + 10179.2i −0.0185361 + 0.742129i
\(574\) −3923.35 + 3292.08i −0.285292 + 0.239388i
\(575\) −7630.45 13216.3i −0.553411 0.958537i
\(576\) 2623.46 + 20947.8i 0.189776 + 1.51532i
\(577\) 9077.41 15722.5i 0.654935 1.13438i −0.326975 0.945033i \(-0.606029\pi\)
0.981910 0.189348i \(-0.0606374\pi\)
\(578\) −618.833 3509.58i −0.0445330 0.252559i
\(579\) −7671.75 + 19545.1i −0.550651 + 1.40288i
\(580\) −816.109 + 297.039i −0.0584260 + 0.0212653i
\(581\) −7421.29 + 2701.13i −0.529926 + 0.192877i
\(582\) −24919.5 + 3755.04i −1.77483 + 0.267442i
\(583\) 2918.68 + 16552.6i 0.207340 + 1.17588i
\(584\) −3289.15 + 5696.98i −0.233058 + 0.403669i
\(585\) −7685.98 7132.64i −0.543207 0.504100i
\(586\) −11573.6 20046.0i −0.815871 1.41313i
\(587\) −20203.2 + 16952.5i −1.42057 + 1.19200i −0.469540 + 0.882911i \(0.655580\pi\)
−0.951033 + 0.309091i \(0.899975\pi\)
\(588\) −3550.54 2169.88i −0.249016 0.152184i
\(589\) 393.126 2229.53i 0.0275017 0.155970i
\(590\) 5929.47 + 4975.42i 0.413750 + 0.347178i
\(591\) −2975.30 + 3371.16i −0.207085 + 0.234638i
\(592\) 4073.14 + 1482.50i 0.282779 + 0.102923i
\(593\) −13727.4 −0.950620 −0.475310 0.879818i \(-0.657664\pi\)
−0.475310 + 0.879818i \(0.657664\pi\)
\(594\) 11803.8 12099.1i 0.815349 0.835743i
\(595\) 6646.34 0.457938
\(596\) 14996.9 + 5458.43i 1.03070 + 0.375144i
\(597\) 10994.8 + 2223.08i 0.753744 + 0.152403i
\(598\) −42946.9 36036.7i −2.93684 2.46430i
\(599\) 2195.47 12451.1i 0.149757 0.849314i −0.813667 0.581331i \(-0.802532\pi\)
0.963424 0.267982i \(-0.0863569\pi\)
\(600\) 5761.23 3137.11i 0.392002 0.213454i
\(601\) 9349.67 7845.31i 0.634577 0.532474i −0.267770 0.963483i \(-0.586287\pi\)
0.902348 + 0.431009i \(0.141842\pi\)
\(602\) 4284.05 + 7420.19i 0.290041 + 0.502366i
\(603\) −893.653 + 1383.41i −0.0603522 + 0.0934277i
\(604\) −16820.2 + 29133.5i −1.13312 + 1.96262i
\(605\) 414.818 + 2352.55i 0.0278756 + 0.158090i
\(606\) −22249.1 27901.7i −1.49143 1.87034i
\(607\) −18257.3 + 6645.13i −1.22083 + 0.444345i −0.870447 0.492262i \(-0.836170\pi\)
−0.350381 + 0.936607i \(0.613948\pi\)
\(608\) 15157.1 5516.74i 1.01102 0.367983i
\(609\) 1246.94 + 1563.73i 0.0829695 + 0.104049i
\(610\) −1743.85 9889.85i −0.115748 0.656440i
\(611\) −4766.84 + 8256.40i −0.315623 + 0.546675i
\(612\) 11913.9 18443.1i 0.786910 1.21817i
\(613\) 10897.5 + 18875.0i 0.718019 + 1.24364i 0.961784 + 0.273810i \(0.0882841\pi\)
−0.243765 + 0.969834i \(0.578383\pi\)
\(614\) 6257.56 5250.72i 0.411294 0.345117i
\(615\) 1134.68 617.855i 0.0743977 0.0405111i
\(616\) −1170.16 + 6636.32i −0.0765376 + 0.434066i
\(617\) −150.004 125.868i −0.00978757 0.00821275i 0.637881 0.770135i \(-0.279811\pi\)
−0.647668 + 0.761922i \(0.724256\pi\)
\(618\) −22510.4 4551.48i −1.46521 0.296258i
\(619\) 20752.1 + 7553.15i 1.34749 + 0.490447i 0.912164 0.409825i \(-0.134410\pi\)
0.435328 + 0.900272i \(0.356633\pi\)
\(620\) 1582.98 0.102539
\(621\) −5439.66 19342.3i −0.351507 1.24988i
\(622\) −8321.28 −0.536419
\(623\) −21753.0 7917.45i −1.39890 0.509159i
\(624\) −10762.7 + 12194.6i −0.690466 + 0.782333i
\(625\) 6932.40 + 5816.97i 0.443674 + 0.372286i
\(626\) 61.1195 346.626i 0.00390228 0.0221309i
\(627\) −8137.81 4973.34i −0.518330 0.316772i
\(628\) 1450.37 1217.01i 0.0921595 0.0773310i
\(629\) −4742.40 8214.08i −0.300623 0.520694i
\(630\) 7517.70 + 6976.48i 0.475416 + 0.441190i
\(631\) −557.064 + 964.862i −0.0351448 + 0.0608725i −0.883063 0.469255i \(-0.844523\pi\)
0.847918 + 0.530127i \(0.177856\pi\)
\(632\) 651.537 + 3695.05i 0.0410075 + 0.232565i
\(633\) 14724.8 2218.83i 0.924581 0.139322i
\(634\) −9656.77 + 3514.78i −0.604920 + 0.220173i
\(635\) 4750.08 1728.89i 0.296852 0.108045i
\(636\) −12309.8 + 31361.3i −0.767476 + 1.95528i
\(637\) −1171.24 6642.45i −0.0728514 0.413161i
\(638\) 1134.69 1965.33i 0.0704117 0.121957i
\(639\) −336.860 2689.75i −0.0208544 0.166518i
\(640\) 3065.60 + 5309.77i 0.189341 + 0.327948i
\(641\) 3828.97 3212.89i 0.235936 0.197974i −0.517152 0.855894i \(-0.673008\pi\)
0.753088 + 0.657920i \(0.228563\pi\)
\(642\) −744.424 + 29804.5i −0.0457634 + 1.83223i
\(643\) −1392.09 + 7894.92i −0.0853787 + 0.484207i 0.911895 + 0.410423i \(0.134619\pi\)
−0.997274 + 0.0737844i \(0.976492\pi\)
\(644\) 24071.4 + 20198.3i 1.47290 + 1.23591i
\(645\) −688.306 2048.90i −0.0420186 0.125078i
\(646\) −20315.0 7394.07i −1.23728 0.450334i
\(647\) 29929.6 1.81863 0.909315 0.416109i \(-0.136607\pi\)
0.909315 + 0.416109i \(0.136607\pi\)
\(648\) 8370.17 2129.94i 0.507425 0.129123i
\(649\) −11590.2 −0.701007
\(650\) 39197.8 + 14266.8i 2.36533 + 0.860909i
\(651\) −1160.89 3455.65i −0.0698907 0.208046i
\(652\) 6183.88 + 5188.89i 0.371441 + 0.311676i
\(653\) 2638.27 14962.3i 0.158106 0.896664i −0.797785 0.602942i \(-0.793995\pi\)
0.955891 0.293722i \(-0.0948940\pi\)
\(654\) 483.180 19345.1i 0.0288897 1.15665i
\(655\) −5590.70 + 4691.16i −0.333507 + 0.279845i
\(656\) −1002.03 1735.57i −0.0596384 0.103297i
\(657\) −13813.9 5824.30i −0.820292 0.345856i
\(658\) 4662.47 8075.64i 0.276234 0.478452i
\(659\) −2177.86 12351.2i −0.128736 0.730100i −0.979018 0.203772i \(-0.934680\pi\)
0.850282 0.526327i \(-0.176431\pi\)
\(660\) 2436.55 6207.53i 0.143701 0.366103i
\(661\) −9069.69 + 3301.10i −0.533692 + 0.194248i −0.594786 0.803884i \(-0.702763\pi\)
0.0610943 + 0.998132i \(0.480541\pi\)
\(662\) −4267.44 + 1553.22i −0.250542 + 0.0911899i
\(663\) 35193.1 5303.13i 2.06152 0.310643i
\(664\) 795.104 + 4509.26i 0.0464699 + 0.263544i
\(665\) 2893.36 5011.45i 0.168721 0.292234i
\(666\) 3257.95 14268.9i 0.189554 0.830195i
\(667\) −1348.79 2336.17i −0.0782987 0.135617i
\(668\) 4489.70 3767.30i 0.260047 0.218206i
\(669\) 22237.2 + 13590.0i 1.28511 + 0.785382i
\(670\) −196.894 + 1116.64i −0.0113533 + 0.0643875i
\(671\) 11519.1 + 9665.68i 0.662728 + 0.556095i
\(672\) 17186.6 19473.2i 0.986587 1.11785i
\(673\) 13419.8 + 4884.42i 0.768643 + 0.279763i 0.696429 0.717626i \(-0.254771\pi\)
0.0722145 + 0.997389i \(0.476993\pi\)
\(674\) −20424.5 −1.16724
\(675\) 8725.44 + 12139.3i 0.497544 + 0.692210i
\(676\) 64223.3 3.65403
\(677\) −16063.3 5846.55i −0.911908 0.331907i −0.156894 0.987616i \(-0.550148\pi\)
−0.755014 + 0.655708i \(0.772370\pi\)
\(678\) −3083.07 623.380i −0.174638 0.0353109i
\(679\) 17539.2 + 14717.1i 0.991297 + 0.831797i
\(680\) 669.133 3794.84i 0.0377354 0.214008i
\(681\) −11092.1 + 6039.88i −0.624156 + 0.339866i
\(682\) −3168.64 + 2658.81i −0.177909 + 0.149283i
\(683\) 1510.44 + 2616.16i 0.0846198 + 0.146566i 0.905229 0.424924i \(-0.139699\pi\)
−0.820609 + 0.571490i \(0.806366\pi\)
\(684\) −8719.96 17012.1i −0.487450 0.950987i
\(685\) 2904.08 5030.02i 0.161984 0.280565i
\(686\) −4122.89 23382.1i −0.229465 1.30136i
\(687\) 3951.56 + 4955.50i 0.219449 + 0.275202i
\(688\) −3150.50 + 1146.69i −0.174581 + 0.0635422i
\(689\) −51317.4 + 18678.0i −2.83750 + 1.03277i
\(690\) −8624.36 10815.5i −0.475832 0.596721i
\(691\) −3454.14 19589.4i −0.190162 1.07846i −0.919142 0.393927i \(-0.871116\pi\)
0.728980 0.684535i \(-0.239995\pi\)
\(692\) −11532.1 + 19974.2i −0.633503 + 1.09726i
\(693\) −15337.9 766.667i −0.840749 0.0420249i
\(694\) 1326.80 + 2298.09i 0.0725717 + 0.125698i
\(695\) 2403.90 2017.11i 0.131201 0.110091i
\(696\) 1018.38 554.528i 0.0554619 0.0302002i
\(697\) −761.495 + 4318.65i −0.0413826 + 0.234693i
\(698\) −4417.30 3706.56i −0.239538 0.200996i
\(699\) −27430.9 5546.37i −1.48431 0.300119i
\(700\) −21970.0 7996.44i −1.18627 0.431767i
\(701\) −800.939 −0.0431541 −0.0215771 0.999767i \(-0.506869\pi\)
−0.0215771 + 0.999767i \(0.506869\pi\)
\(702\) 45373.6 + 30942.9i 2.43948 + 1.66362i
\(703\) −8258.07 −0.443042
\(704\) −20450.9 7443.53i −1.09485 0.398492i
\(705\) −1556.58 + 1763.69i −0.0831550 + 0.0942188i
\(706\) 29462.9 + 24722.3i 1.57061 + 1.31790i
\(707\) −5630.06 + 31929.7i −0.299491 + 1.69850i
\(708\) −19823.0 12114.6i −1.05225 0.643073i
\(709\) 3106.31 2606.50i 0.164542 0.138067i −0.556799 0.830647i \(-0.687971\pi\)
0.721341 + 0.692580i \(0.243526\pi\)
\(710\) −933.134 1616.24i −0.0493238 0.0854313i
\(711\) −8171.01 + 2519.73i −0.430994 + 0.132908i
\(712\) −6710.63 + 11623.2i −0.353218 + 0.611792i
\(713\) 853.802 + 4842.15i 0.0448459 + 0.254334i
\(714\) −34422.6 + 5187.02i −1.80425 + 0.271876i
\(715\) 10157.6 3697.06i 0.531290 0.193374i
\(716\) −21418.7 + 7795.76i −1.11795 + 0.406901i
\(717\) 5277.98 13446.6i 0.274909 0.700378i
\(718\) −8763.21 49698.6i −0.455487 2.58320i
\(719\) −15633.9 + 27078.6i −0.810910 + 1.40454i 0.101317 + 0.994854i \(0.467694\pi\)
−0.912228 + 0.409684i \(0.865639\pi\)
\(720\) −3199.23 + 2422.94i −0.165595 + 0.125413i
\(721\) 10432.6 + 18069.8i 0.538878 + 0.933363i
\(722\) 8324.88 6985.41i 0.429114 0.360069i
\(723\) 356.322 14266.0i 0.0183288 0.733831i
\(724\) 6485.81 36782.9i 0.332933 1.88816i
\(725\) 1537.54 + 1290.15i 0.0787623 + 0.0660894i
\(726\) −3984.43 11860.6i −0.203686 0.606317i
\(727\) 13748.6 + 5004.08i 0.701386 + 0.255284i 0.668002 0.744159i \(-0.267150\pi\)
0.0333833 + 0.999443i \(0.489372\pi\)
\(728\) −21894.7 −1.11466
\(729\) 7186.78 + 18324.0i 0.365126 + 0.930958i
\(730\) −10321.2 −0.523292
\(731\) 6893.88 + 2509.17i 0.348809 + 0.126956i
\(732\) 9598.43 + 28571.9i 0.484656 + 1.44269i
\(733\) −23148.9 19424.2i −1.16647 0.978786i −0.166498 0.986042i \(-0.553246\pi\)
−0.999974 + 0.00725627i \(0.997690\pi\)
\(734\) −729.084 + 4134.84i −0.0366634 + 0.207929i
\(735\) 41.5549 1663.73i 0.00208541 0.0834933i
\(736\) −26835.5 + 22517.7i −1.34398 + 1.12773i
\(737\) −848.906 1470.35i −0.0424286 0.0734884i
\(738\) −5394.50 + 4085.52i −0.269071 + 0.203781i
\(739\) 11968.5 20730.1i 0.595763 1.03189i −0.397675 0.917526i \(-0.630183\pi\)
0.993439 0.114366i \(-0.0364838\pi\)
\(740\) −1002.68 5686.49i −0.0498098 0.282486i
\(741\) 11322.0 28844.8i 0.561303 1.43002i
\(742\) 50193.9 18269.1i 2.48339 0.903880i
\(743\) 19637.0 7147.27i 0.969596 0.352904i 0.191809 0.981432i \(-0.438565\pi\)
0.777787 + 0.628528i \(0.216342\pi\)
\(744\) −2089.94 + 314.926i −0.102985 + 0.0155185i
\(745\) 1108.40 + 6286.06i 0.0545083 + 0.309132i
\(746\) −15099.6 + 26153.3i −0.741068 + 1.28357i
\(747\) −9971.49 + 3074.96i −0.488404 + 0.150611i
\(748\) 11317.3 + 19602.1i 0.553211 + 0.958189i
\(749\) 20749.6 17411.0i 1.01225 0.849377i
\(750\) 19084.3 + 11663.2i 0.929146 + 0.567838i
\(751\) −2095.31 + 11883.1i −0.101810 + 0.577391i 0.890637 + 0.454715i \(0.150259\pi\)
−0.992447 + 0.122676i \(0.960852\pi\)
\(752\) 2795.17 + 2345.43i 0.135545 + 0.113735i
\(753\) 22708.1 25729.4i 1.09898 1.24520i
\(754\) 6928.75 + 2521.86i 0.334655 + 0.121805i
\(755\) −13454.7 −0.648563
\(756\) −25431.6 17343.2i −1.22346 0.834349i
\(757\) 15978.5 0.767172 0.383586 0.923505i \(-0.374689\pi\)
0.383586 + 0.923505i \(0.374689\pi\)
\(758\) −1335.67 486.144i −0.0640023 0.0232949i
\(759\) 20302.3 + 4105.01i 0.970917 + 0.196314i
\(760\) −2570.08 2156.55i −0.122667 0.102929i
\(761\) −2051.14 + 11632.6i −0.0977053 + 0.554114i 0.896179