Properties

Label 147.4.o.a.101.9
Level $147$
Weight $4$
Character 147.101
Analytic conductor $8.673$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 147.o (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.67328077084\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.9
Character \(\chi\) \(=\) 147.101
Dual form 147.4.o.a.131.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.81031 - 1.49544i) q^{2} +(-2.12806 - 4.74040i) q^{3} +(6.41775 + 5.95480i) q^{4} +(16.4115 + 11.1892i) q^{5} +(1.01959 + 21.2448i) q^{6} +(-10.6461 - 15.1545i) q^{7} +(-1.34059 - 2.78376i) q^{8} +(-17.9428 + 20.1757i) q^{9} +O(q^{10})\) \(q+(-3.81031 - 1.49544i) q^{2} +(-2.12806 - 4.74040i) q^{3} +(6.41775 + 5.95480i) q^{4} +(16.4115 + 11.1892i) q^{5} +(1.01959 + 21.2448i) q^{6} +(-10.6461 - 15.1545i) q^{7} +(-1.34059 - 2.78376i) q^{8} +(-17.9428 + 20.1757i) q^{9} +(-45.8002 - 67.1766i) q^{10} +(-7.93468 - 52.6432i) q^{11} +(14.5708 - 43.0948i) q^{12} +(-50.8769 + 40.5730i) q^{13} +(17.9023 + 73.6642i) q^{14} +(18.1165 - 101.608i) q^{15} +(-4.28888 - 57.2311i) q^{16} +(-38.2642 - 11.8029i) q^{17} +(98.5390 - 50.0434i) q^{18} +(-44.3254 + 25.5913i) q^{19} +(38.6956 + 169.536i) q^{20} +(-49.1831 + 82.7165i) q^{21} +(-48.4910 + 212.453i) q^{22} +(22.6546 + 73.4443i) q^{23} +(-10.3433 + 12.2789i) q^{24} +(98.4719 + 250.902i) q^{25} +(254.531 - 78.5126i) q^{26} +(133.824 + 42.1208i) q^{27} +(21.9183 - 160.654i) q^{28} +(-77.9880 + 17.8002i) q^{29} +(-220.978 + 360.067i) q^{30} +(-241.902 - 139.662i) q^{31} +(-76.5293 + 248.102i) q^{32} +(-232.664 + 149.641i) q^{33} +(128.148 + 102.195i) q^{34} +(-5.15176 - 367.830i) q^{35} +(-235.294 + 22.6369i) q^{36} +(-93.7837 + 87.0185i) q^{37} +(207.164 - 31.2250i) q^{38} +(300.601 + 154.835i) q^{39} +(9.14689 - 60.6856i) q^{40} +(162.048 - 78.0381i) q^{41} +(311.100 - 241.626i) q^{42} +(-40.4011 - 19.4561i) q^{43} +(262.557 - 385.100i) q^{44} +(-520.216 + 130.348i) q^{45} +(23.5104 - 313.725i) q^{46} +(-151.249 + 385.377i) q^{47} +(-262.171 + 142.122i) q^{48} +(-116.321 + 322.674i) q^{49} -1103.28i q^{50} +(25.4777 + 206.505i) q^{51} +(-568.119 - 42.5746i) q^{52} +(-12.7900 + 13.7843i) q^{53} +(-446.922 - 360.619i) q^{54} +(458.813 - 952.735i) q^{55} +(-27.9146 + 49.9522i) q^{56} +(215.640 + 155.661i) q^{57} +(323.778 + 48.8017i) q^{58} +(25.1494 - 17.1466i) q^{59} +(721.323 - 544.215i) q^{60} +(-127.527 - 137.441i) q^{61} +(712.867 + 893.907i) q^{62} +(496.774 + 57.1219i) q^{63} +(376.357 - 471.937i) q^{64} +(-1288.94 + 96.5930i) q^{65} +(1110.30 - 222.245i) q^{66} +(-270.829 + 469.089i) q^{67} +(-175.286 - 303.604i) q^{68} +(299.945 - 263.685i) q^{69} +(-530.437 + 1409.25i) q^{70} +(152.478 + 34.8020i) q^{71} +(80.2180 + 22.9010i) q^{72} +(150.307 - 58.9910i) q^{73} +(487.476 - 191.320i) q^{74} +(979.823 - 1000.73i) q^{75} +(-436.861 - 99.7106i) q^{76} +(-713.310 + 680.692i) q^{77} +(-913.838 - 1039.50i) q^{78} +(-283.444 - 490.939i) q^{79} +(569.981 - 987.236i) q^{80} +(-85.1154 - 724.014i) q^{81} +(-734.154 + 55.0172i) q^{82} +(-526.701 + 660.462i) q^{83} +(-808.205 + 237.978i) q^{84} +(-495.907 - 621.847i) q^{85} +(124.845 + 134.551i) q^{86} +(250.343 + 331.814i) q^{87} +(-135.909 + 92.6610i) q^{88} +(-1025.58 - 154.582i) q^{89} +(2177.11 + 281.283i) q^{90} +(1156.51 + 339.072i) q^{91} +(-291.955 + 606.251i) q^{92} +(-147.273 + 1443.92i) q^{93} +(1152.62 - 1242.22i) q^{94} +(-1013.79 - 75.9732i) q^{95} +(1338.96 - 165.196i) q^{96} -626.833i q^{97} +(925.758 - 1055.54i) q^{98} +(1204.48 + 784.476i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} + O(q^{10}) \) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} - 58q^{10} - 207q^{12} - 28q^{13} - 148q^{15} + 726q^{16} - 81q^{18} - 342q^{19} - 371q^{21} - 156q^{22} - 428q^{24} + 1250q^{25} - 56q^{27} + 700q^{28} + 389q^{30} + 888q^{31} + 841q^{33} - 532q^{34} - 38q^{36} + 1178q^{37} - 180q^{39} + 194q^{40} + 56q^{42} + 1296q^{43} - 617q^{45} - 6756q^{46} - 2380q^{49} + 787q^{51} - 5204q^{52} + 4144q^{54} - 5698q^{55} + 863q^{57} - 3066q^{58} + 2820q^{60} + 1492q^{61} - 1085q^{63} + 7648q^{64} + 2568q^{66} + 142q^{67} - 5474q^{69} + 5180q^{70} + 1278q^{72} + 2876q^{73} - 1754q^{75} + 7644q^{76} + 936q^{78} - 992q^{79} + 911q^{81} + 1022q^{82} + 7868q^{84} + 2672q^{85} - 196q^{87} + 370q^{88} - 18767q^{90} - 2254q^{91} - 11096q^{93} - 3628q^{94} - 24248q^{96} + 10982q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.81031 1.49544i −1.34715 0.528717i −0.421407 0.906872i \(-0.638464\pi\)
−0.925743 + 0.378154i \(0.876559\pi\)
\(3\) −2.12806 4.74040i −0.409545 0.912290i
\(4\) 6.41775 + 5.95480i 0.802218 + 0.744350i
\(5\) 16.4115 + 11.1892i 1.46789 + 1.00079i 0.992662 + 0.120925i \(0.0385862\pi\)
0.475226 + 0.879864i \(0.342366\pi\)
\(6\) 1.01959 + 21.2448i 0.0693745 + 1.44552i
\(7\) −10.6461 15.1545i −0.574836 0.818269i
\(8\) −1.34059 2.78376i −0.0592461 0.123026i
\(9\) −17.9428 + 20.1757i −0.664546 + 0.747247i
\(10\) −45.8002 67.1766i −1.44833 2.12431i
\(11\) −7.93468 52.6432i −0.217491 1.44296i −0.784952 0.619556i \(-0.787313\pi\)
0.567461 0.823400i \(-0.307926\pi\)
\(12\) 14.5708 43.0948i 0.350519 1.03670i
\(13\) −50.8769 + 40.5730i −1.08544 + 0.865609i −0.991518 0.129970i \(-0.958512\pi\)
−0.0939219 + 0.995580i \(0.529940\pi\)
\(14\) 17.9023 + 73.6642i 0.341757 + 1.40626i
\(15\) 18.1165 101.608i 0.311844 1.74901i
\(16\) −4.28888 57.2311i −0.0670137 0.894236i
\(17\) −38.2642 11.8029i −0.545907 0.168390i 0.00952091 0.999955i \(-0.496969\pi\)
−0.555428 + 0.831565i \(0.687446\pi\)
\(18\) 98.5390 50.0434i 1.29033 0.655297i
\(19\) −44.3254 + 25.5913i −0.535208 + 0.309003i −0.743135 0.669142i \(-0.766662\pi\)
0.207927 + 0.978144i \(0.433329\pi\)
\(20\) 38.6956 + 169.536i 0.432629 + 1.89547i
\(21\) −49.1831 + 82.7165i −0.511077 + 0.859535i
\(22\) −48.4910 + 212.453i −0.469923 + 2.05887i
\(23\) 22.6546 + 73.4443i 0.205383 + 0.665835i 0.998395 + 0.0566294i \(0.0180354\pi\)
−0.793012 + 0.609205i \(0.791488\pi\)
\(24\) −10.3433 + 12.2789i −0.0879713 + 0.104434i
\(25\) 98.4719 + 250.902i 0.787775 + 2.00722i
\(26\) 254.531 78.5126i 1.91991 0.592215i
\(27\) 133.824 + 42.1208i 0.953867 + 0.300228i
\(28\) 21.9183 160.654i 0.147934 1.08431i
\(29\) −77.9880 + 17.8002i −0.499379 + 0.113980i −0.464789 0.885421i \(-0.653870\pi\)
−0.0345904 + 0.999402i \(0.511013\pi\)
\(30\) −220.978 + 360.067i −1.34483 + 2.19130i
\(31\) −241.902 139.662i −1.40151 0.809164i −0.406965 0.913444i \(-0.633413\pi\)
−0.994548 + 0.104280i \(0.966746\pi\)
\(32\) −76.5293 + 248.102i −0.422769 + 1.37058i
\(33\) −232.664 + 149.641i −1.22732 + 0.789370i
\(34\) 128.148 + 102.195i 0.646388 + 0.515477i
\(35\) −5.15176 367.830i −0.0248802 1.77642i
\(36\) −235.294 + 22.6369i −1.08932 + 0.104800i
\(37\) −93.7837 + 87.0185i −0.416701 + 0.386642i −0.860472 0.509498i \(-0.829831\pi\)
0.443770 + 0.896140i \(0.353641\pi\)
\(38\) 207.164 31.2250i 0.884380 0.133299i
\(39\) 300.601 + 154.835i 1.23422 + 0.635730i
\(40\) 9.14689 60.6856i 0.0361563 0.239881i
\(41\) 162.048 78.0381i 0.617259 0.297256i −0.0990039 0.995087i \(-0.531566\pi\)
0.716262 + 0.697831i \(0.245851\pi\)
\(42\) 311.100 241.626i 1.14295 0.887706i
\(43\) −40.4011 19.4561i −0.143282 0.0690008i 0.360869 0.932616i \(-0.382480\pi\)
−0.504151 + 0.863616i \(0.668194\pi\)
\(44\) 262.557 385.100i 0.899589 1.31946i
\(45\) −520.216 + 130.348i −1.72332 + 0.431804i
\(46\) 23.5104 313.725i 0.0753570 1.00557i
\(47\) −151.249 + 385.377i −0.469404 + 1.19602i 0.478677 + 0.877991i \(0.341117\pi\)
−0.948081 + 0.318030i \(0.896979\pi\)
\(48\) −262.171 + 142.122i −0.788357 + 0.427365i
\(49\) −116.321 + 322.674i −0.339127 + 0.940740i
\(50\) 1103.28i 3.12053i
\(51\) 25.4777 + 206.505i 0.0699528 + 0.566989i
\(52\) −568.119 42.5746i −1.51508 0.113539i
\(53\) −12.7900 + 13.7843i −0.0331479 + 0.0357249i −0.749408 0.662108i \(-0.769662\pi\)
0.716260 + 0.697833i \(0.245852\pi\)
\(54\) −446.922 360.619i −1.12627 0.908778i
\(55\) 458.813 952.735i 1.12484 2.33576i
\(56\) −27.9146 + 49.9522i −0.0666114 + 0.119199i
\(57\) 215.640 + 155.661i 0.501092 + 0.361715i
\(58\) 323.778 + 48.8017i 0.733002 + 0.110482i
\(59\) 25.1494 17.1466i 0.0554945 0.0378355i −0.535255 0.844690i \(-0.679784\pi\)
0.590750 + 0.806855i \(0.298832\pi\)
\(60\) 721.323 544.215i 1.55204 1.17096i
\(61\) −127.527 137.441i −0.267675 0.288485i 0.584883 0.811118i \(-0.301140\pi\)
−0.852558 + 0.522633i \(0.824950\pi\)
\(62\) 712.867 + 893.907i 1.46023 + 1.83107i
\(63\) 496.774 + 57.1219i 0.993454 + 0.114233i
\(64\) 376.357 471.937i 0.735073 0.921753i
\(65\) −1288.94 + 96.5930i −2.45960 + 0.184321i
\(66\) 1110.30 222.245i 2.07074 0.414492i
\(67\) −270.829 + 469.089i −0.493836 + 0.855349i −0.999975 0.00710319i \(-0.997739\pi\)
0.506139 + 0.862452i \(0.331072\pi\)
\(68\) −175.286 303.604i −0.312596 0.541431i
\(69\) 299.945 263.685i 0.523321 0.460058i
\(70\) −530.437 + 1409.25i −0.905705 + 2.40625i
\(71\) 152.478 + 34.8020i 0.254870 + 0.0581724i 0.348047 0.937477i \(-0.386845\pi\)
−0.0931769 + 0.995650i \(0.529702\pi\)
\(72\) 80.2180 + 22.9010i 0.131303 + 0.0374849i
\(73\) 150.307 58.9910i 0.240987 0.0945805i −0.241774 0.970333i \(-0.577729\pi\)
0.482761 + 0.875752i \(0.339634\pi\)
\(74\) 487.476 191.320i 0.765783 0.300548i
\(75\) 979.823 1000.73i 1.50854 1.54072i
\(76\) −436.861 99.7106i −0.659360 0.150495i
\(77\) −713.310 + 680.692i −1.05570 + 1.00743i
\(78\) −913.838 1039.50i −1.32656 1.50898i
\(79\) −283.444 490.939i −0.403670 0.699177i 0.590496 0.807041i \(-0.298932\pi\)
−0.994166 + 0.107864i \(0.965599\pi\)
\(80\) 569.981 987.236i 0.796572 1.37970i
\(81\) −85.1154 724.014i −0.116756 0.993161i
\(82\) −734.154 + 55.0172i −0.988704 + 0.0740931i
\(83\) −526.701 + 660.462i −0.696541 + 0.873435i −0.996760 0.0804354i \(-0.974369\pi\)
0.300219 + 0.953870i \(0.402940\pi\)
\(84\) −808.205 + 237.978i −1.04979 + 0.309114i
\(85\) −495.907 621.847i −0.632807 0.793515i
\(86\) 124.845 + 134.551i 0.156540 + 0.168710i
\(87\) 250.343 + 331.814i 0.308501 + 0.408899i
\(88\) −135.909 + 92.6610i −0.164635 + 0.112247i
\(89\) −1025.58 154.582i −1.22148 0.184109i −0.493524 0.869732i \(-0.664292\pi\)
−0.727956 + 0.685624i \(0.759530\pi\)
\(90\) 2177.11 + 281.283i 2.54987 + 0.329442i
\(91\) 1156.51 + 339.072i 1.33225 + 0.390598i
\(92\) −291.955 + 606.251i −0.330852 + 0.687022i
\(93\) −147.273 + 1443.92i −0.164210 + 1.60998i
\(94\) 1152.62 1242.22i 1.26471 1.36304i
\(95\) −1013.79 75.9732i −1.09487 0.0820493i
\(96\) 1338.96 165.196i 1.42351 0.175627i
\(97\) 626.833i 0.656137i −0.944654 0.328068i \(-0.893602\pi\)
0.944654 0.328068i \(-0.106398\pi\)
\(98\) 925.758 1055.54i 0.954241 1.08802i
\(99\) 1204.48 + 784.476i 1.22278 + 0.796392i
\(100\) −862.105 + 2196.61i −0.862105 + 2.19661i
\(101\) 80.6924 1076.76i 0.0794969 1.06081i −0.804695 0.593689i \(-0.797671\pi\)
0.884192 0.467124i \(-0.154710\pi\)
\(102\) 211.737 824.948i 0.205540 0.800804i
\(103\) −1144.15 + 1678.16i −1.09453 + 1.60537i −0.351396 + 0.936227i \(0.614293\pi\)
−0.743130 + 0.669147i \(0.766659\pi\)
\(104\) 181.150 + 87.2374i 0.170800 + 0.0822532i
\(105\) −1732.70 + 807.184i −1.61042 + 0.750220i
\(106\) 69.3475 33.3960i 0.0635436 0.0306010i
\(107\) 166.343 1103.62i 0.150290 0.997109i −0.778805 0.627267i \(-0.784174\pi\)
0.929095 0.369842i \(-0.120588\pi\)
\(108\) 608.027 + 1067.22i 0.541735 + 0.950860i
\(109\) 665.692 100.337i 0.584970 0.0881700i 0.150112 0.988669i \(-0.452037\pi\)
0.434858 + 0.900499i \(0.356799\pi\)
\(110\) −3172.98 + 2944.10i −2.75029 + 2.55190i
\(111\) 612.080 + 259.392i 0.523388 + 0.221805i
\(112\) −821.651 + 674.284i −0.693203 + 0.568874i
\(113\) 1165.02 + 929.071i 0.969873 + 0.773448i 0.974001 0.226543i \(-0.0727425\pi\)
−0.00412769 + 0.999991i \(0.501314\pi\)
\(114\) −588.876 915.592i −0.483801 0.752220i
\(115\) −449.985 + 1458.82i −0.364881 + 1.18292i
\(116\) −606.504 350.165i −0.485452 0.280276i
\(117\) 94.2846 1754.47i 0.0745009 1.38633i
\(118\) −121.469 + 27.7245i −0.0947637 + 0.0216292i
\(119\) 228.496 + 705.531i 0.176019 + 0.543495i
\(120\) −307.139 + 85.7826i −0.233649 + 0.0652570i
\(121\) −1436.48 + 443.095i −1.07925 + 0.332904i
\(122\) 280.383 + 714.404i 0.208071 + 0.530156i
\(123\) −714.778 602.101i −0.523979 0.441379i
\(124\) −720.806 2336.80i −0.522018 1.69234i
\(125\) −638.828 + 2798.89i −0.457108 + 2.00272i
\(126\) −1807.44 960.547i −1.27793 0.679145i
\(127\) −327.148 1433.33i −0.228580 1.00148i −0.950798 0.309810i \(-0.899734\pi\)
0.722218 0.691665i \(-0.243123\pi\)
\(128\) −340.977 + 196.863i −0.235456 + 0.135941i
\(129\) −6.25405 + 232.921i −0.00426851 + 0.158973i
\(130\) 5055.73 + 1559.49i 3.41090 + 1.05212i
\(131\) 23.3584 + 311.697i 0.0155789 + 0.207886i 0.999561 + 0.0296200i \(0.00942972\pi\)
−0.983982 + 0.178266i \(0.942951\pi\)
\(132\) −2384.26 425.109i −1.57215 0.280311i
\(133\) 859.718 + 399.284i 0.560504 + 0.260318i
\(134\) 1733.44 1382.37i 1.11751 0.891183i
\(135\) 1724.95 + 2188.64i 1.09971 + 1.39532i
\(136\) 18.4399 + 122.341i 0.0116266 + 0.0771372i
\(137\) −355.788 521.846i −0.221876 0.325433i 0.699120 0.715005i \(-0.253575\pi\)
−0.920996 + 0.389572i \(0.872623\pi\)
\(138\) −1537.21 + 556.175i −0.948232 + 0.343078i
\(139\) −698.691 1450.85i −0.426347 0.885319i −0.997901 0.0647543i \(-0.979374\pi\)
0.571554 0.820564i \(-0.306341\pi\)
\(140\) 2157.29 2391.32i 1.30232 1.44359i
\(141\) 2148.71 103.122i 1.28336 0.0615918i
\(142\) −528.943 360.627i −0.312591 0.213121i
\(143\) 2539.58 + 2356.39i 1.48511 + 1.37798i
\(144\) 1231.63 + 940.352i 0.712749 + 0.544185i
\(145\) −1479.07 580.491i −0.847103 0.332463i
\(146\) −660.933 −0.374652
\(147\) 1777.14 135.262i 0.997116 0.0758926i
\(148\) −1120.06 −0.622082
\(149\) 3022.87 + 1186.39i 1.66204 + 0.652301i 0.995639 0.0932948i \(-0.0297399\pi\)
0.666398 + 0.745596i \(0.267835\pi\)
\(150\) −5229.96 + 2347.83i −2.84683 + 1.27800i
\(151\) −1385.32 1285.39i −0.746597 0.692741i 0.212076 0.977253i \(-0.431978\pi\)
−0.958672 + 0.284513i \(0.908168\pi\)
\(152\) 130.662 + 89.0839i 0.0697243 + 0.0475372i
\(153\) 924.696 560.228i 0.488609 0.296024i
\(154\) 3735.87 1526.94i 1.95484 0.798988i
\(155\) −2407.27 4998.75i −1.24746 2.59038i
\(156\) 1007.17 + 2783.71i 0.516911 + 1.42869i
\(157\) −39.3090 57.6557i −0.0199821 0.0293084i 0.816118 0.577886i \(-0.196122\pi\)
−0.836100 + 0.548577i \(0.815170\pi\)
\(158\) 345.841 + 2294.51i 0.174137 + 1.15532i
\(159\) 92.5610 + 31.2958i 0.0461671 + 0.0156095i
\(160\) −4032.01 + 3215.42i −1.99224 + 1.58876i
\(161\) 871.833 1125.22i 0.426770 0.550804i
\(162\) −758.402 + 2886.01i −0.367813 + 1.39967i
\(163\) −155.273 2071.98i −0.0746132 0.995644i −0.901360 0.433070i \(-0.857430\pi\)
0.826747 0.562574i \(-0.190189\pi\)
\(164\) 1504.68 + 464.133i 0.716439 + 0.220992i
\(165\) −5492.73 147.482i −2.59156 0.0695848i
\(166\) 2994.58 1728.92i 1.40015 0.808374i
\(167\) −685.133 3001.76i −0.317468 1.39092i −0.841977 0.539514i \(-0.818608\pi\)
0.524508 0.851405i \(-0.324249\pi\)
\(168\) 296.197 + 26.0251i 0.136024 + 0.0119516i
\(169\) 453.415 1986.54i 0.206379 0.904206i
\(170\) 959.626 + 3111.03i 0.432941 + 1.40356i
\(171\) 278.999 1353.47i 0.124769 0.605279i
\(172\) −143.427 365.445i −0.0635824 0.162005i
\(173\) 1342.61 414.142i 0.590041 0.182004i 0.0146649 0.999892i \(-0.495332\pi\)
0.575376 + 0.817889i \(0.304856\pi\)
\(174\) −457.678 1638.69i −0.199405 0.713958i
\(175\) 2753.97 4163.43i 1.18960 1.79843i
\(176\) −2978.80 + 679.891i −1.27577 + 0.291186i
\(177\) −134.801 82.7294i −0.0572445 0.0351318i
\(178\) 3676.63 + 2122.70i 1.54818 + 0.893840i
\(179\) 411.945 1335.49i 0.172013 0.557651i −0.827983 0.560754i \(-0.810511\pi\)
0.999995 + 0.00310280i \(0.000987652\pi\)
\(180\) −4114.81 2261.24i −1.70389 0.936349i
\(181\) 856.911 + 683.364i 0.351899 + 0.280630i 0.783445 0.621461i \(-0.213460\pi\)
−0.431546 + 0.902091i \(0.642032\pi\)
\(182\) −3899.59 3021.46i −1.58823 1.23058i
\(183\) −380.142 + 897.012i −0.153557 + 0.362344i
\(184\) 174.081 161.523i 0.0697468 0.0647156i
\(185\) −2512.79 + 378.743i −0.998618 + 0.150517i
\(186\) 2720.45 5281.56i 1.07244 2.08206i
\(187\) −317.730 + 2108.00i −0.124250 + 0.824343i
\(188\) −3265.52 + 1572.59i −1.26682 + 0.610070i
\(189\) −786.382 2476.46i −0.302650 0.953102i
\(190\) 3749.25 + 1805.54i 1.43158 + 0.689410i
\(191\) 554.851 813.817i 0.210197 0.308302i −0.706633 0.707580i \(-0.749787\pi\)
0.916830 + 0.399278i \(0.130739\pi\)
\(192\) −3038.08 779.775i −1.14195 0.293101i
\(193\) 217.028 2896.03i 0.0809429 1.08011i −0.797834 0.602877i \(-0.794021\pi\)
0.878777 0.477232i \(-0.158360\pi\)
\(194\) −937.391 + 2388.43i −0.346911 + 0.883915i
\(195\) 3200.83 + 5904.55i 1.17547 + 2.16838i
\(196\) −2667.98 + 1378.17i −0.972294 + 0.502250i
\(197\) 512.779i 0.185452i −0.995692 0.0927258i \(-0.970442\pi\)
0.995692 0.0927258i \(-0.0295580\pi\)
\(198\) −3416.32 4790.33i −1.22620 1.71936i
\(199\) −2637.41 197.646i −0.939502 0.0704059i −0.403832 0.914833i \(-0.632322\pi\)
−0.535670 + 0.844427i \(0.679941\pi\)
\(200\) 566.441 610.478i 0.200267 0.215837i
\(201\) 2800.01 + 285.588i 0.982574 + 0.100218i
\(202\) −1917.70 + 3982.14i −0.667964 + 1.38704i
\(203\) 1100.02 + 992.369i 0.380328 + 0.343107i
\(204\) −1066.18 + 1477.01i −0.365921 + 0.506918i
\(205\) 3532.62 + 532.457i 1.20356 + 0.181407i
\(206\) 6869.14 4683.30i 2.32328 1.58398i
\(207\) −1888.27 860.722i −0.634030 0.289006i
\(208\) 2540.24 + 2737.73i 0.846798 + 0.912631i
\(209\) 1698.92 + 2130.37i 0.562280 + 0.705077i
\(210\) 7809.21 484.484i 2.56613 0.159203i
\(211\) −2486.58 + 3118.07i −0.811294 + 1.01733i 0.188087 + 0.982152i \(0.439771\pi\)
−0.999381 + 0.0351780i \(0.988800\pi\)
\(212\) −164.166 + 12.3025i −0.0531837 + 0.00398557i
\(213\) −159.505 796.865i −0.0513105 0.256339i
\(214\) −2284.21 + 3956.37i −0.729652 + 1.26379i
\(215\) −445.344 771.359i −0.141266 0.244680i
\(216\) −62.1485 429.000i −0.0195772 0.135138i
\(217\) 458.798 + 5152.78i 0.143526 + 1.61195i
\(218\) −2686.54 613.186i −0.834659 0.190505i
\(219\) −599.502 586.977i −0.184980 0.181115i
\(220\) 8617.90 3382.27i 2.64099 1.03651i
\(221\) 2425.64 951.994i 0.738309 0.289765i
\(222\) −1944.31 1903.69i −0.587809 0.575529i
\(223\) 3048.25 + 695.743i 0.915362 + 0.208925i 0.654158 0.756358i \(-0.273023\pi\)
0.261204 + 0.965284i \(0.415880\pi\)
\(224\) 4574.61 1481.55i 1.36453 0.441921i
\(225\) −6828.98 2515.14i −2.02340 0.745227i
\(226\) −3049.72 5282.27i −0.897629 1.55474i
\(227\) −1683.52 + 2915.94i −0.492243 + 0.852590i −0.999960 0.00893400i \(-0.997156\pi\)
0.507717 + 0.861524i \(0.330490\pi\)
\(228\) 456.996 + 2283.08i 0.132743 + 0.663162i
\(229\) 3294.70 246.904i 0.950742 0.0712483i 0.409679 0.912230i \(-0.365641\pi\)
0.541064 + 0.840982i \(0.318022\pi\)
\(230\) 3896.16 4885.62i 1.11698 1.40065i
\(231\) 4744.71 + 1932.82i 1.35143 + 0.550522i
\(232\) 154.101 + 193.237i 0.0436088 + 0.0546837i
\(233\) −4693.75 5058.66i −1.31973 1.42233i −0.837650 0.546208i \(-0.816071\pi\)
−0.482083 0.876126i \(-0.660120\pi\)
\(234\) −2982.95 + 6544.07i −0.833340 + 1.82820i
\(235\) −6794.27 + 4632.26i −1.88600 + 1.28585i
\(236\) 263.507 + 39.7173i 0.0726816 + 0.0109550i
\(237\) −1724.06 + 2388.38i −0.472531 + 0.654608i
\(238\) 184.436 3030.00i 0.0502319 0.825234i
\(239\) 797.979 1657.02i 0.215970 0.448467i −0.764634 0.644465i \(-0.777080\pi\)
0.980604 + 0.195998i \(0.0627945\pi\)
\(240\) −5892.84 601.043i −1.58492 0.161655i
\(241\) −2221.78 + 2394.51i −0.593848 + 0.640016i −0.956439 0.291933i \(-0.905702\pi\)
0.362591 + 0.931948i \(0.381892\pi\)
\(242\) 6136.06 + 459.834i 1.62992 + 0.122146i
\(243\) −3250.98 + 1944.22i −0.858234 + 0.513259i
\(244\) 1641.46i 0.430671i
\(245\) −5519.45 + 3994.03i −1.43928 + 1.04151i
\(246\) 1823.12 + 3363.10i 0.472513 + 0.871640i
\(247\) 1216.83 3100.42i 0.313461 0.798685i
\(248\) −64.4950 + 860.626i −0.0165139 + 0.220362i
\(249\) 4251.70 + 1091.27i 1.08209 + 0.277737i
\(250\) 6619.70 9709.31i 1.67467 2.45628i
\(251\) 391.848 + 188.704i 0.0985388 + 0.0474538i 0.482504 0.875894i \(-0.339727\pi\)
−0.383965 + 0.923348i \(0.625442\pi\)
\(252\) 2848.02 + 3324.78i 0.711938 + 0.831117i
\(253\) 3686.59 1775.37i 0.916102 0.441171i
\(254\) −896.919 + 5950.67i −0.221566 + 1.46999i
\(255\) −1892.49 + 3674.12i −0.464753 + 0.902284i
\(256\) −3181.48 + 479.531i −0.776729 + 0.117073i
\(257\) 259.604 240.878i 0.0630104 0.0584651i −0.648039 0.761607i \(-0.724411\pi\)
0.711049 + 0.703142i \(0.248220\pi\)
\(258\) 372.149 878.150i 0.0898023 0.211904i
\(259\) 2317.16 + 494.841i 0.555912 + 0.118718i
\(260\) −8847.30 7055.49i −2.11033 1.68293i
\(261\) 1040.19 1892.85i 0.246689 0.448905i
\(262\) 377.120 1222.59i 0.0889258 0.288290i
\(263\) 614.735 + 354.917i 0.144130 + 0.0832134i 0.570331 0.821415i \(-0.306815\pi\)
−0.426201 + 0.904629i \(0.640148\pi\)
\(264\) 728.472 + 447.074i 0.169827 + 0.104225i
\(265\) −364.138 + 83.1120i −0.0844105 + 0.0192662i
\(266\) −2678.69 2807.05i −0.617448 0.647036i
\(267\) 1449.72 + 5190.64i 0.332290 + 1.18975i
\(268\) −4531.44 + 1397.77i −1.03284 + 0.318590i
\(269\) 2355.02 + 6000.48i 0.533784 + 1.36006i 0.902569 + 0.430545i \(0.141679\pi\)
−0.368785 + 0.929515i \(0.620226\pi\)
\(270\) −3299.63 10919.0i −0.743738 2.46114i
\(271\) 570.223 + 1848.62i 0.127818 + 0.414374i 0.996750 0.0805563i \(-0.0256697\pi\)
−0.868933 + 0.494931i \(0.835193\pi\)
\(272\) −511.384 + 2240.52i −0.113997 + 0.499454i
\(273\) −853.774 6203.87i −0.189277 1.37537i
\(274\) 575.278 + 2520.46i 0.126839 + 0.555716i
\(275\) 12427.0 7174.70i 2.72499 1.57328i
\(276\) 3495.17 + 93.8469i 0.762262 + 0.0204671i
\(277\) 564.667 + 174.177i 0.122482 + 0.0377807i 0.355390 0.934718i \(-0.384348\pi\)
−0.232908 + 0.972499i \(0.574824\pi\)
\(278\) 492.581 + 6573.04i 0.106270 + 1.41807i
\(279\) 7158.17 2374.61i 1.53602 0.509550i
\(280\) −1017.04 + 507.449i −0.217071 + 0.108307i
\(281\) −2213.45 + 1765.17i −0.469906 + 0.374737i −0.829623 0.558324i \(-0.811445\pi\)
0.359717 + 0.933061i \(0.382873\pi\)
\(282\) −8341.47 2820.33i −1.76144 0.595562i
\(283\) 351.812 + 2334.12i 0.0738978 + 0.490280i 0.994912 + 0.100750i \(0.0321243\pi\)
−0.921014 + 0.389529i \(0.872638\pi\)
\(284\) 771.323 + 1131.32i 0.161161 + 0.236379i
\(285\) 1797.26 + 4967.45i 0.373546 + 1.03244i
\(286\) −6152.78 12776.4i −1.27210 2.64155i
\(287\) −2907.81 1624.96i −0.598058 0.334210i
\(288\) −3632.48 5995.66i −0.743214 1.22673i
\(289\) −2734.47 1864.33i −0.556579 0.379469i
\(290\) 4767.63 + 4423.71i 0.965395 + 0.895756i
\(291\) −2971.44 + 1333.94i −0.598587 + 0.268717i
\(292\) 1315.91 + 516.457i 0.263725 + 0.103505i
\(293\) −8696.84 −1.73404 −0.867022 0.498270i \(-0.833969\pi\)
−0.867022 + 0.498270i \(0.833969\pi\)
\(294\) −6973.74 2142.21i −1.38339 0.424954i
\(295\) 604.596 0.119325
\(296\) 367.964 + 144.415i 0.0722549 + 0.0283580i
\(297\) 1155.52 7379.13i 0.225759 1.44169i
\(298\) −9743.93 9041.04i −1.89413 1.75750i
\(299\) −4132.45 2817.46i −0.799284 0.544942i
\(300\) 12247.4 587.785i 2.35701 0.113119i
\(301\) 135.265 + 819.393i 0.0259022 + 0.156907i
\(302\) 3356.30 + 6969.42i 0.639514 + 1.32796i
\(303\) −5276.01 + 1908.90i −1.00033 + 0.361926i
\(304\) 1654.72 + 2427.03i 0.312187 + 0.457895i
\(305\) −555.053 3682.54i −0.104204 0.691349i
\(306\) −4361.17 + 751.819i −0.814743 + 0.140453i
\(307\) −4294.67 + 3424.89i −0.798404 + 0.636706i −0.935291 0.353881i \(-0.884862\pi\)
0.136887 + 0.990587i \(0.456290\pi\)
\(308\) −8631.23 + 120.888i −1.59679 + 0.0223643i
\(309\) 10389.9 + 1852.50i 1.91282 + 0.341052i
\(310\) 1697.14 + 22646.7i 0.310938 + 4.14918i
\(311\) 4679.23 + 1443.35i 0.853166 + 0.263167i 0.690337 0.723487i \(-0.257462\pi\)
0.162829 + 0.986654i \(0.447938\pi\)
\(312\) 28.0419 1044.37i 0.00508833 0.189506i
\(313\) 6716.37 3877.70i 1.21288 0.700258i 0.249496 0.968376i \(-0.419735\pi\)
0.963386 + 0.268118i \(0.0864018\pi\)
\(314\) 63.5590 + 278.470i 0.0114231 + 0.0500477i
\(315\) 7513.65 + 6495.94i 1.34396 + 1.16192i
\(316\) 1104.37 4838.58i 0.196601 0.861365i
\(317\) −802.670 2602.19i −0.142216 0.461053i 0.856241 0.516576i \(-0.172794\pi\)
−0.998457 + 0.0555230i \(0.982317\pi\)
\(318\) −305.886 257.666i −0.0539409 0.0454377i
\(319\) 1555.87 + 3964.30i 0.273079 + 0.695793i
\(320\) 11457.2 3534.07i 2.00148 0.617376i
\(321\) −5585.57 + 1560.02i −0.971203 + 0.271253i
\(322\) −5004.65 + 2983.66i −0.866143 + 0.516375i
\(323\) 1998.13 456.060i 0.344207 0.0785630i
\(324\) 3765.11 5153.38i 0.645595 0.883639i
\(325\) −15189.8 8769.83i −2.59255 1.49681i
\(326\) −2506.88 + 8127.10i −0.425899 + 1.38073i
\(327\) −1892.27 2942.12i −0.320008 0.497553i
\(328\) −434.478 346.485i −0.0731404 0.0583275i
\(329\) 7450.43 1810.65i 1.24850 0.303418i
\(330\) 20708.5 + 8775.99i 3.45443 + 1.46395i
\(331\) 1590.59 1475.85i 0.264129 0.245076i −0.536979 0.843596i \(-0.680435\pi\)
0.801108 + 0.598520i \(0.204244\pi\)
\(332\) −7313.15 + 1102.28i −1.20892 + 0.182215i
\(333\) −72.9203 3453.50i −0.0120000 0.568320i
\(334\) −1878.38 + 12462.2i −0.307726 + 2.04163i
\(335\) −9693.42 + 4668.10i −1.58092 + 0.761331i
\(336\) 4944.90 + 2460.04i 0.802876 + 0.399423i
\(337\) −7588.90 3654.62i −1.22669 0.590742i −0.295521 0.955336i \(-0.595493\pi\)
−0.931166 + 0.364594i \(0.881208\pi\)
\(338\) −4698.40 + 6891.29i −0.756093 + 1.10898i
\(339\) 1924.94 7499.77i 0.308403 1.20157i
\(340\) 520.372 6943.88i 0.0830034 1.10760i
\(341\) −5432.85 + 13842.7i −0.862772 + 2.19831i
\(342\) −3087.11 + 4739.94i −0.488105 + 0.749434i
\(343\) 6128.34 1672.43i 0.964721 0.263274i
\(344\) 138.550i 0.0217154i
\(345\) 7872.96 971.334i 1.22860 0.151579i
\(346\) −5735.11 429.787i −0.891102 0.0667789i
\(347\) 359.057 386.971i 0.0555481 0.0598666i −0.704666 0.709539i \(-0.748903\pi\)
0.760215 + 0.649672i \(0.225094\pi\)
\(348\) −369.248 + 3620.24i −0.0568786 + 0.557659i
\(349\) 691.871 1436.69i 0.106118 0.220355i −0.841148 0.540805i \(-0.818120\pi\)
0.947266 + 0.320450i \(0.103834\pi\)
\(350\) −16719.6 + 11745.6i −2.55344 + 1.79379i
\(351\) −8517.51 + 3286.66i −1.29525 + 0.499797i
\(352\) 13668.1 + 2060.14i 2.06964 + 0.311948i
\(353\) −1787.09 + 1218.42i −0.269454 + 0.183710i −0.690508 0.723325i \(-0.742613\pi\)
0.421054 + 0.907036i \(0.361660\pi\)
\(354\) 389.918 + 516.812i 0.0585421 + 0.0775939i
\(355\) 2112.98 + 2277.25i 0.315902 + 0.340461i
\(356\) −5661.44 7099.22i −0.842853 1.05690i
\(357\) 2858.25 2584.57i 0.423738 0.383166i
\(358\) −3566.79 + 4472.61i −0.526566 + 0.660293i
\(359\) −1543.02 + 115.634i −0.226846 + 0.0169997i −0.187668 0.982233i \(-0.560093\pi\)
−0.0391777 + 0.999232i \(0.512474\pi\)
\(360\) 1060.25 + 1273.41i 0.155223 + 0.186430i
\(361\) −2119.67 + 3671.38i −0.309035 + 0.535264i
\(362\) −2243.17 3885.29i −0.325687 0.564106i
\(363\) 5157.36 + 5866.55i 0.745705 + 0.848248i
\(364\) 5403.06 + 9062.84i 0.778014 + 1.30501i
\(365\) 3126.82 + 713.675i 0.448397 + 0.102344i
\(366\) 2789.89 2849.42i 0.398442 0.406944i
\(367\) 11643.1 4569.59i 1.65604 0.649947i 0.661088 0.750309i \(-0.270095\pi\)
0.994951 + 0.100361i \(0.0319999\pi\)
\(368\) 4106.14 1611.54i 0.581650 0.228281i
\(369\) −1333.11 + 4669.64i −0.188073 + 0.658785i
\(370\) 10140.9 + 2314.60i 1.42487 + 0.325217i
\(371\) 345.059 + 47.0770i 0.0482872 + 0.00658792i
\(372\) −9543.43 + 8389.74i −1.33012 + 1.16932i
\(373\) −69.9198 121.105i −0.00970593 0.0168112i 0.861132 0.508382i \(-0.169756\pi\)
−0.870838 + 0.491571i \(0.836423\pi\)
\(374\) 4363.03 7557.00i 0.603228 1.04482i
\(375\) 14627.3 2927.89i 2.01427 0.403188i
\(376\) 1275.56 95.5899i 0.174952 0.0131108i
\(377\) 3245.58 4069.83i 0.443384 0.555986i
\(378\) −707.036 + 10612.1i −0.0962064 + 1.44399i
\(379\) −7981.53 10008.5i −1.08175 1.35647i −0.929791 0.368087i \(-0.880013\pi\)
−0.151960 0.988387i \(-0.548559\pi\)
\(380\) −6053.85 6524.50i −0.817253 0.880789i
\(381\) −6098.36 + 4601.02i −0.820023 + 0.618681i
\(382\) −3331.17 + 2271.15i −0.446171 + 0.304194i
\(383\) 6506.22 + 980.654i 0.868021 + 0.130833i 0.567929 0.823077i \(-0.307745\pi\)
0.300092 + 0.953910i \(0.402983\pi\)
\(384\) 1658.83 + 1197.43i 0.220447 + 0.159130i
\(385\) −19322.9 + 3189.82i −2.55788 + 0.422255i
\(386\) −5157.78 + 10710.2i −0.680114 + 1.41227i
\(387\) 1117.45 466.023i 0.146778 0.0612126i
\(388\) 3732.67 4022.86i 0.488395 0.526365i
\(389\) 9668.18 + 724.530i 1.26014 + 0.0944348i 0.687995 0.725715i \(-0.258491\pi\)
0.572149 + 0.820150i \(0.306110\pi\)
\(390\) −3366.29 27284.8i −0.437074 3.54262i
\(391\) 3077.68i 0.398068i
\(392\) 1054.18 108.764i 0.135827 0.0140138i
\(393\) 1427.86 774.037i 0.183272 0.0993511i
\(394\) −766.829 + 1953.85i −0.0980515 + 0.249831i
\(395\) 841.463 11228.5i 0.107186 1.43030i
\(396\) 3058.66 + 12207.0i 0.388140 + 1.54905i
\(397\) −2986.22 + 4379.98i −0.377517 + 0.553715i −0.967231 0.253896i \(-0.918288\pi\)
0.589715 + 0.807612i \(0.299240\pi\)
\(398\) 9753.79 + 4697.18i 1.22842 + 0.591578i
\(399\) 63.2375 4925.11i 0.00793442 0.617954i
\(400\) 13937.1 6711.74i 1.74213 0.838968i
\(401\) −144.277 + 957.215i −0.0179672 + 0.119205i −0.996017 0.0891690i \(-0.971579\pi\)
0.978049 + 0.208374i \(0.0668170\pi\)
\(402\) −10241.8 5275.42i −1.27069 0.654513i
\(403\) 17973.7 2709.11i 2.22168 0.334864i
\(404\) 6929.78 6429.90i 0.853390 0.791830i
\(405\) 6704.24 12834.5i 0.822559 1.57470i
\(406\) −2707.41 5426.26i −0.330952 0.663302i
\(407\) 5325.08 + 4246.61i 0.648536 + 0.517191i
\(408\) 540.704 347.761i 0.0656099 0.0421979i
\(409\) −214.582 + 695.656i −0.0259422 + 0.0841027i −0.967618 0.252418i \(-0.918774\pi\)
0.941676 + 0.336521i \(0.109250\pi\)
\(410\) −12664.2 7311.65i −1.52546 0.880724i
\(411\) −1716.62 + 2797.10i −0.206021 + 0.335695i
\(412\) −17335.9 + 3956.81i −2.07301 + 0.473151i
\(413\) −527.593 198.584i −0.0628599 0.0236602i
\(414\) 5907.76 + 6103.42i 0.701330 + 0.724557i
\(415\) −16034.0 + 4945.82i −1.89657 + 0.585014i
\(416\) −6172.66 15727.7i −0.727499 1.85364i
\(417\) −5390.74 + 6399.56i −0.633059 + 0.751530i
\(418\) −3287.56 10658.0i −0.384689 1.24713i
\(419\) −737.360 + 3230.59i −0.0859723 + 0.376669i −0.999550 0.0299948i \(-0.990451\pi\)
0.913578 + 0.406664i \(0.133308\pi\)
\(420\) −15926.6 5137.56i −1.85033 0.596874i
\(421\) −2160.48 9465.67i −0.250107 1.09579i −0.931462 0.363838i \(-0.881466\pi\)
0.681355 0.731953i \(-0.261391\pi\)
\(422\) 14137.5 8162.30i 1.63081 0.941551i
\(423\) −5061.41 9966.28i −0.581783 1.14557i
\(424\) 55.5183 + 17.1251i 0.00635898 + 0.00196149i
\(425\) −806.562 10762.8i −0.0920565 1.22841i
\(426\) −583.896 + 3274.84i −0.0664081 + 0.372456i
\(427\) −725.196 + 3395.83i −0.0821890 + 0.384861i
\(428\) 7639.37 6092.19i 0.862763 0.688031i
\(429\) 5765.85 17053.2i 0.648899 1.91920i
\(430\) 543.382 + 3605.10i 0.0609400 + 0.404311i
\(431\) 7704.57 + 11300.5i 0.861058 + 1.26294i 0.963367 + 0.268187i \(0.0864245\pi\)
−0.102309 + 0.994753i \(0.532623\pi\)
\(432\) 1836.67 7839.54i 0.204552 0.873102i
\(433\) 6518.68 + 13536.2i 0.723482 + 1.50233i 0.859234 + 0.511583i \(0.170941\pi\)
−0.135752 + 0.990743i \(0.543345\pi\)
\(434\) 5957.50 20319.8i 0.658915 2.24742i
\(435\) 395.780 + 8246.69i 0.0436234 + 0.908962i
\(436\) 4869.73 + 3320.13i 0.534903 + 0.364691i
\(437\) −2883.71 2675.69i −0.315667 0.292896i
\(438\) 1406.50 + 3133.09i 0.153437 + 0.341791i
\(439\) −1770.69 694.946i −0.192507 0.0755534i 0.267129 0.963661i \(-0.413925\pi\)
−0.459636 + 0.888107i \(0.652020\pi\)
\(440\) −3267.26 −0.354002
\(441\) −4423.05 8136.51i −0.477600 0.878578i
\(442\) −10666.1 −1.14782
\(443\) −842.793 330.772i −0.0903889 0.0354750i 0.319716 0.947514i \(-0.396413\pi\)
−0.410105 + 0.912038i \(0.634508\pi\)
\(444\) 2383.55 + 5309.52i 0.254771 + 0.567520i
\(445\) −15101.7 14012.4i −1.60874 1.49269i
\(446\) −10574.3 7209.47i −1.12267 0.765422i
\(447\) −808.883 16854.3i −0.0855903 1.78341i
\(448\) −11158.7 679.232i −1.17679 0.0716310i
\(449\) −515.844 1071.16i −0.0542186 0.112586i 0.872099 0.489329i \(-0.162758\pi\)
−0.926318 + 0.376743i \(0.877044\pi\)
\(450\) 22259.3 + 19795.8i 2.33181 + 2.07374i
\(451\) −5393.97 7911.50i −0.563175 0.826027i
\(452\) 1944.36 + 12900.0i 0.202334 + 1.34240i
\(453\) −3145.23 + 9302.38i −0.326216 + 0.964821i
\(454\) 10775.4 8593.06i 1.11390 0.888309i
\(455\) 15186.1 + 18505.0i 1.56469 + 1.90666i
\(456\) 144.237 808.966i 0.0148125 0.0830774i
\(457\) 682.238 + 9103.84i 0.0698332 + 0.931859i 0.916577 + 0.399858i \(0.130941\pi\)
−0.846744 + 0.532001i \(0.821440\pi\)
\(458\) −12923.1 3986.24i −1.31846 0.406692i
\(459\) −4623.51 3191.23i −0.470168 0.324518i
\(460\) −11574.9 + 6682.74i −1.17322 + 0.677358i
\(461\) −2709.83 11872.6i −0.273773 1.19948i −0.905520 0.424305i \(-0.860519\pi\)
0.631746 0.775175i \(-0.282339\pi\)
\(462\) −15188.4 14460.1i −1.52950 1.45616i
\(463\) −1589.79 + 6965.31i −0.159576 + 0.699148i 0.830312 + 0.557298i \(0.188162\pi\)
−0.989888 + 0.141849i \(0.954695\pi\)
\(464\) 1353.21 + 4386.99i 0.135390 + 0.438925i
\(465\) −18573.2 + 22049.0i −1.85229 + 2.19892i
\(466\) 10319.7 + 26294.3i 1.02587 + 2.61386i
\(467\) 3002.18 926.051i 0.297483 0.0917613i −0.142421 0.989806i \(-0.545489\pi\)
0.439904 + 0.898045i \(0.355012\pi\)
\(468\) 11052.6 10698.3i 1.09168 1.05668i
\(469\) 9992.11 889.687i 0.983780 0.0875947i
\(470\) 32815.6 7489.94i 3.22057 0.735075i
\(471\) −189.659 + 309.035i −0.0185542 + 0.0302326i
\(472\) −81.4470 47.0234i −0.00794259 0.00458565i
\(473\) −703.664 + 2281.22i −0.0684027 + 0.221756i
\(474\) 10140.9 6522.26i 0.982673 0.632020i
\(475\) −10785.7 8601.33i −1.04186 0.830855i
\(476\) −2734.87 + 5888.57i −0.263345 + 0.567021i
\(477\) −48.6205 505.375i −0.00466704 0.0485106i
\(478\) −5518.52 + 5120.44i −0.528057 + 0.489965i
\(479\) 19605.1 2954.99i 1.87010 0.281873i 0.886569 0.462597i \(-0.153082\pi\)
0.983534 + 0.180725i \(0.0578442\pi\)
\(480\) 23822.7 + 12270.7i 2.26532 + 1.16683i
\(481\) 1240.82 8232.32i 0.117623 0.780377i
\(482\) 12046.5 5801.29i 1.13839 0.548219i
\(483\) −7189.28 1738.31i −0.677275 0.163760i
\(484\) −11857.5 5710.27i −1.11359 0.536277i
\(485\) 7013.74 10287.3i 0.656655 0.963135i
\(486\) 15294.7 2546.46i 1.42754 0.237674i
\(487\) −939.571 + 12537.7i −0.0874251 + 1.16661i 0.765097 + 0.643915i \(0.222691\pi\)
−0.852522 + 0.522692i \(0.824928\pi\)
\(488\) −211.643 + 539.256i −0.0196324 + 0.0500225i
\(489\) −9491.58 + 5145.35i −0.877759 + 0.475830i
\(490\) 27003.7 6964.51i 2.48959 0.642091i
\(491\) 13575.2i 1.24774i −0.781529 0.623869i \(-0.785560\pi\)
0.781529 0.623869i \(-0.214440\pi\)
\(492\) −1001.87 8120.49i −0.0918048 0.744106i
\(493\) 3194.24 + 239.375i 0.291808 + 0.0218680i
\(494\) −9272.98 + 9993.90i −0.844557 + 0.910216i
\(495\) 10989.7 + 26351.6i 0.997880 + 2.39276i
\(496\) −6955.53 + 14443.3i −0.629663 + 1.30751i
\(497\) −1095.88 2681.23i −0.0989076 0.241991i
\(498\) −14568.4 10516.2i −1.31089 0.946273i
\(499\) 18640.7 + 2809.63i 1.67229 + 0.252057i 0.915708 0.401844i \(-0.131631\pi\)
0.756580 + 0.653901i \(0.226869\pi\)
\(500\) −20766.6 + 14158.5i −1.85742 + 1.26637i
\(501\) −12771.6 + 9635.73i −1.13890 + 0.859267i
\(502\) −1210.87 1305.01i −0.107657 0.116026i
\(503\) −2103.19 2637.32i −0.186435 0.233782i 0.679827 0.733373i \(-0.262055\pi\)
−0.866261 + 0.499591i \(0.833484\pi\)
\(504\) −506.955 1459.47i −0.0448047 0.128988i
\(505\) 13372.4 16768.4i 1.17834 1.47759i
\(506\) −16702.0 + 1251.64i −1.46738 + 0.109965i
\(507\) −10381.9 + 2078.10i −0.909419 + 0.182035i
\(508\) 6435.64 11146.8i 0.562077 0.973546i
\(509\) −2222.45 3849.40i −0.193533 0.335209i 0.752886 0.658151i \(-0.228661\pi\)
−0.946419 + 0.322942i \(0.895328\pi\)
\(510\) 12705.4 11169.5i 1.10315 0.969788i
\(511\) −2494.16 1649.81i −0.215920 0.142824i
\(512\) 15910.4 + 3631.44i 1.37333 + 0.313454i
\(513\) −7009.73 + 1557.71i −0.603289 + 0.134063i
\(514\) −1349.39 + 529.598i −0.115796 + 0.0454466i
\(515\) −37554.3 + 14739.0i −3.21328 + 1.26112i
\(516\) −1427.14 + 1457.59i −0.121756 + 0.124354i
\(517\) 21487.6 + 4904.40i 1.82790 + 0.417206i
\(518\) −8089.10 5350.67i −0.686129 0.453851i
\(519\) −4820.36 5483.21i −0.407688 0.463750i
\(520\) 1996.83 + 3458.61i 0.168398 + 0.291674i
\(521\) −10636.5 + 18422.9i −0.894418 + 1.54918i −0.0598944 + 0.998205i \(0.519076\pi\)
−0.834523 + 0.550972i \(0.814257\pi\)
\(522\) −6794.07 + 5656.80i −0.569671 + 0.474313i
\(523\) −10927.9 + 818.936i −0.913662 + 0.0684695i −0.523258 0.852174i \(-0.675284\pi\)
−0.390404 + 0.920644i \(0.627665\pi\)
\(524\) −1706.18 + 2139.49i −0.142242 + 0.178366i
\(525\) −25596.9 4194.89i −2.12789 0.348724i
\(526\) −1811.58 2271.64i −0.150168 0.188305i
\(527\) 7607.76 + 8199.21i 0.628841 + 0.677729i
\(528\) 9562.00 + 12673.8i 0.788130 + 1.04462i
\(529\) 5172.01 3526.21i 0.425085 0.289818i
\(530\) 1511.77 + 227.862i 0.123900 + 0.0186749i
\(531\) −105.306 + 815.064i −0.00860620 + 0.0666116i
\(532\) 3139.80 + 7681.96i 0.255879 + 0.626043i
\(533\) −5078.25 + 10545.1i −0.412689 + 0.856958i
\(534\) 2238.38 21945.9i 0.181394 1.77845i
\(535\) 15078.5 16250.7i 1.21850 1.31324i
\(536\) 1668.90 + 125.067i 0.134488 + 0.0100785i
\(537\) −7207.42 + 889.222i −0.579186 + 0.0714576i
\(538\) 26385.5i 2.11442i
\(539\) 17909.6 + 3563.18i 1.43120 + 0.284744i
\(540\) −1962.62 + 24317.9i −0.156403 + 1.93792i
\(541\) 1971.56 5023.45i 0.156680 0.399215i −0.830881 0.556450i \(-0.812163\pi\)
0.987561 + 0.157236i \(0.0502582\pi\)
\(542\) 591.764 7896.54i 0.0468975 0.625804i
\(543\) 1415.86 5516.34i 0.111898 0.435965i
\(544\) 5856.66 8590.14i 0.461585 0.677021i
\(545\) 12047.7 + 5801.86i 0.946910 + 0.456008i
\(546\) −6024.35 + 24915.4i −0.472195 + 1.95290i
\(547\) −5201.61 + 2504.96i −0.406590 + 0.195803i −0.625989 0.779832i \(-0.715305\pi\)
0.219399 + 0.975635i \(0.429590\pi\)
\(548\) 824.126 5467.72i 0.0642426 0.426222i
\(549\) 5061.16 106.866i 0.393452 0.00830769i
\(550\) −58079.9 + 8754.14i −4.50279 + 0.678687i
\(551\) 3001.32 2784.82i 0.232052 0.215313i
\(552\) −1136.14 481.481i −0.0876038 0.0371254i
\(553\) −4422.39 + 9522.06i −0.340071 + 0.732223i
\(554\) −1891.09 1508.09i −0.145026 0.115655i
\(555\) 7142.76 + 11105.7i 0.546294 + 0.849385i
\(556\) 4155.48 13471.7i 0.316963 1.02757i
\(557\) 2165.48 + 1250.24i 0.164730 + 0.0951066i 0.580098 0.814546i \(-0.303014\pi\)
−0.415369 + 0.909653i \(0.636347\pi\)
\(558\) −30826.0 1656.58i −2.33865 0.125678i
\(559\) 2844.88 649.325i 0.215251 0.0491297i
\(560\) −21029.2 + 1872.42i −1.58687 + 0.141293i
\(561\) 10668.9 2979.78i 0.802926 0.224254i
\(562\) 11073.7 3415.77i 0.831163 0.256380i
\(563\) 8071.66 + 20566.3i 0.604228 + 1.53955i 0.825540 + 0.564344i \(0.190871\pi\)
−0.221312 + 0.975203i \(0.571034\pi\)
\(564\) 14403.9 + 12133.3i 1.07538 + 0.905859i
\(565\) 8724.15 + 28283.0i 0.649607 + 2.10597i
\(566\) 2150.02 9419.85i 0.159668 0.699551i
\(567\) −10066.0 + 8997.82i −0.745556 + 0.666442i
\(568\) −107.529 471.116i −0.00794334 0.0348021i
\(569\) −14626.7 + 8444.73i −1.07765 + 0.622182i −0.930262 0.366897i \(-0.880420\pi\)
−0.147389 + 0.989079i \(0.547087\pi\)
\(570\) 580.380 21615.2i 0.0426481 1.58836i
\(571\) 3942.74 + 1216.17i 0.288964 + 0.0891336i 0.435848 0.900020i \(-0.356448\pi\)
−0.146885 + 0.989154i \(0.546925\pi\)
\(572\) 2266.58 + 30245.4i 0.165683 + 2.21088i
\(573\) −5038.57 898.366i −0.367346 0.0654970i
\(574\) 8649.64 + 10540.1i 0.628971 + 0.766434i
\(575\) −16196.5 + 12916.3i −1.17468 + 0.936776i
\(576\) 2768.76 + 16061.1i 0.200287 + 1.16183i
\(577\) 615.465 + 4083.35i 0.0444058 + 0.294613i 1.00000 7.25236e-5i \(-2.30850e-5\pi\)
−0.955594 + 0.294686i \(0.904785\pi\)
\(578\) 7631.21 + 11192.9i 0.549164 + 0.805475i
\(579\) −14190.2 + 5134.12i −1.01852 + 0.368509i
\(580\) −6035.58 12533.0i −0.432093 0.897249i
\(581\) 15616.3 + 950.564i 1.11510 + 0.0678761i
\(582\) 13316.9 639.114i 0.948462 0.0455191i
\(583\) 827.135 + 563.931i 0.0587589 + 0.0400611i
\(584\) −365.716 339.335i −0.0259134 0.0240441i
\(585\) 21178.4 27738.4i 1.49678 1.96042i
\(586\) 33137.7 + 13005.6i 2.33602 + 0.916819i
\(587\) −6194.82 −0.435583 −0.217792 0.975995i \(-0.569885\pi\)
−0.217792 + 0.975995i \(0.569885\pi\)
\(588\) 12210.7 + 9714.44i 0.856396 + 0.681321i
\(589\) 14296.6 1.00013
\(590\) −2303.70 904.135i −0.160749 0.0630893i
\(591\) −2430.77 + 1091.22i −0.169186 + 0.0759507i
\(592\) 5382.39 + 4994.13i 0.373674 + 0.346719i
\(593\) 1713.55 + 1168.28i 0.118663 + 0.0809029i 0.621197 0.783654i \(-0.286647\pi\)
−0.502534 + 0.864557i \(0.667599\pi\)
\(594\) −15437.9 + 26388.8i −1.06637 + 1.82280i
\(595\) −4144.34 + 14135.5i −0.285548 + 0.973948i
\(596\) 12335.3 + 25614.6i 0.847776 + 1.76043i
\(597\) 4675.63 + 12923.0i 0.320537 + 0.885933i
\(598\) 11532.6 + 16915.2i 0.788634 + 1.15671i
\(599\) −2987.02 19817.6i −0.203750 1.35179i −0.823643 0.567108i \(-0.808062\pi\)
0.619893 0.784686i \(-0.287176\pi\)
\(600\) −4099.33 1386.02i −0.278924 0.0943070i
\(601\) −18946.0 + 15108.9i −1.28590 + 1.02547i −0.288204 + 0.957569i \(0.593058\pi\)
−0.997692 + 0.0678985i \(0.978371\pi\)
\(602\) 709.948 3324.43i 0.0480653 0.225072i
\(603\) −4604.78 13880.9i −0.310980 0.937436i
\(604\) −1236.40 16498.7i −0.0832923 1.11146i
\(605\) −28532.6 8801.15i −1.91738 0.591434i
\(606\) 22957.9 + 616.431i 1.53895 + 0.0413215i
\(607\) 929.530 536.664i 0.0621556 0.0358856i −0.468600 0.883410i \(-0.655241\pi\)
0.530756 + 0.847525i \(0.321908\pi\)
\(608\) −2957.06 12955.7i −0.197244 0.864183i
\(609\) 2363.31 7326.37i 0.157252 0.487487i
\(610\) −3392.08 + 14861.7i −0.225150 + 0.986445i
\(611\) −7940.80 25743.4i −0.525778 1.70453i
\(612\) 9270.51 + 1910.98i 0.612317 + 0.126220i
\(613\) −2424.66 6177.93i −0.159757 0.407054i 0.828473 0.560029i \(-0.189210\pi\)
−0.988230 + 0.152974i \(0.951115\pi\)
\(614\) 21485.8 6627.48i 1.41221 0.435608i
\(615\) −4993.56 17879.1i −0.327414 1.17229i
\(616\) 2851.14 + 1073.16i 0.186486 + 0.0701927i
\(617\) −20013.0 + 4567.84i −1.30583 + 0.298046i −0.818163 0.574986i \(-0.805007\pi\)
−0.487662 + 0.873032i \(0.662150\pi\)
\(618\) −36818.6 22596.1i −2.39654 1.47079i
\(619\) −20903.8 12068.8i −1.35734 0.783660i −0.368075 0.929796i \(-0.619983\pi\)
−0.989264 + 0.146136i \(0.953316\pi\)
\(620\) 14317.3 46415.5i 0.927413 3.00660i
\(621\) −61.8110 + 10782.8i −0.00399419 + 0.696780i
\(622\) −15670.9 12497.1i −1.01020 0.805609i
\(623\) 8575.87 + 17188.0i 0.551500 + 1.10533i
\(624\) 7572.15 17867.8i 0.485783 1.14629i
\(625\) −17103.5 + 15869.7i −1.09462 + 1.01566i
\(626\) −31390.4 + 4731.34i −2.00417 + 0.302080i
\(627\) 6483.43 12587.1i 0.412956 0.801723i
\(628\) 91.0529 604.097i 0.00578568 0.0383855i
\(629\) 4615.63 2222.77i 0.292587 0.140902i
\(630\) −18915.1 35987.8i −1.19618 2.27585i
\(631\) −37.3044 17.9649i −0.00235351 0.00113339i 0.432707 0.901535i \(-0.357559\pi\)
−0.435060 + 0.900401i \(0.643273\pi\)
\(632\) −986.675 + 1447.19i −0.0621010 + 0.0910854i
\(633\) 20072.5 + 5151.94i 1.26036 + 0.323493i
\(634\) −832.993 + 11115.5i −0.0521804 + 0.696299i
\(635\) 10668.8 27183.6i 0.666736 1.69881i
\(636\) 407.673 + 752.031i 0.0254171 + 0.0468867i
\(637\) −7173.81 21136.1i −0.446211 1.31467i
\(638\) 17431.9i 1.08172i
\(639\) −3438.02 + 2451.89i −0.212842 + 0.151792i
\(640\) −7798.67 584.429i −0.481671 0.0360962i
\(641\) 4047.72 4362.41i 0.249416 0.268806i −0.595918 0.803046i \(-0.703211\pi\)
0.845333 + 0.534240i \(0.179402\pi\)
\(642\) 23615.7 + 2408.69i 1.45177 + 0.148074i
\(643\) 12998.2 26991.0i 0.797197 1.65540i 0.0427036 0.999088i \(-0.486403\pi\)
0.754493 0.656308i \(-0.227883\pi\)
\(644\) 12295.6 2029.77i 0.752354 0.124199i
\(645\) −2708.83 + 3752.60i −0.165364 + 0.229083i
\(646\) −8295.51 1250.35i −0.505236 0.0761520i
\(647\) −6738.61 + 4594.31i −0.409462 + 0.279167i −0.750484 0.660889i \(-0.770180\pi\)
0.341021 + 0.940056i \(0.389227\pi\)
\(648\) −1901.38 + 1207.54i −0.115267 + 0.0732050i
\(649\) −1102.20 1187.89i −0.0666646 0.0718473i
\(650\) 44763.2 + 56131.2i 2.70116 + 3.38715i
\(651\) 23449.9 13140.3i 1.41179 0.791103i
\(652\) 11341.7 14222.1i 0.681252 0.854263i
\(653\) −20846.4 + 1562.22i −1.24928 + 0.0936208i −0.682894 0.730517i \(-0.739279\pi\)
−0.566389 + 0.824138i \(0.691660\pi\)
\(654\) 2810.37 + 14040.2i 0.168034 + 0.839472i
\(655\) −3104.28 + 5376.77i −0.185182 + 0.320745i
\(656\) −5161.20 8939.47i −0.307182 0.532054i
\(657\) −1506.73 + 4091.00i −0.0894722 + 0.242930i
\(658\) −31096.2 4242.51i −1.84233 0.251353i
\(659\) −6542.54 1493.29i −0.386739 0.0882707i 0.0247306 0.999694i \(-0.492127\pi\)
−0.411470 + 0.911423i \(0.634984\pi\)
\(660\) −34372.7 33654.6i −2.02721 1.98485i
\(661\) 2610.03 1024.36i 0.153583 0.0602768i −0.287304 0.957839i \(-0.592759\pi\)
0.440887 + 0.897563i \(0.354664\pi\)
\(662\) −8267.69 + 3244.83i −0.485397 + 0.190504i
\(663\) −9674.74 9472.61i −0.566720 0.554880i
\(664\) 2544.65 + 580.801i 0.148722 + 0.0339449i
\(665\) 9641.60 + 16172.4i 0.562233 + 0.943064i
\(666\) −4886.65 + 13268.0i −0.284315 + 0.771957i
\(667\) −3074.11 5324.52i −0.178456 0.309095i
\(668\) 13477.9 23344.4i 0.780652 1.35213i
\(669\) −3188.75 15930.5i −0.184281 0.920640i
\(670\) 43915.8 3291.04i 2.53226 0.189767i
\(671\) −6223.47 + 7803.98i −0.358054 + 0.448986i
\(672\) −16758.2 18532.7i −0.961995 1.06386i
\(673\) 6502.38 + 8153.72i 0.372434 + 0.467018i 0.932363 0.361523i \(-0.117743\pi\)
−0.559929 + 0.828541i \(0.689172\pi\)
\(674\) 23450.8 + 25274.0i 1.34020 + 1.44439i
\(675\) 2609.68 + 37724.4i 0.148810 + 2.15113i
\(676\) 14739.4 10049.1i 0.838607 0.571752i
\(677\) 171.323 + 25.8228i 0.00972595 + 0.00146595i 0.153903 0.988086i \(-0.450816\pi\)
−0.144177 + 0.989552i \(0.546054\pi\)
\(678\) −18550.1 + 25697.8i −1.05075 + 1.45563i
\(679\) −9499.38 + 6673.34i −0.536896 + 0.377171i
\(680\) −1066.27 + 2214.12i −0.0601315 + 0.124864i
\(681\) 17405.4 + 1775.27i 0.979405 + 0.0998947i
\(682\) 41401.7 44620.5i 2.32457 2.50529i
\(683\) −4364.60 327.081i −0.244519 0.0183242i −0.0480933 0.998843i \(-0.515314\pi\)
−0.196426 + 0.980519i \(0.562934\pi\)
\(684\) 9850.21 7024.87i 0.550632 0.392694i
\(685\) 12545.2i 0.699750i
\(686\) −25851.9 2792.06i −1.43882 0.155395i
\(687\) −8181.73 15092.8i −0.454370 0.838173i
\(688\) −940.221 + 2395.64i −0.0521011 + 0.132752i
\(689\) 91.4437 1220.23i 0.00505621 0.0674704i
\(690\) −31451.0 8072.44i −1.73525 0.445381i
\(691\) −8915.18 + 13076.2i −0.490810 + 0.719886i −0.989120 0.147113i \(-0.953002\pi\)
0.498310 + 0.866999i \(0.333954\pi\)
\(692\) 11082.7 + 5337.14i 0.608816 + 0.293190i
\(693\) −934.663 26605.0i −0.0512336 1.45836i
\(694\) −1946.81 + 937.535i −0.106484 + 0.0512800i
\(695\) 4767.20 31628.3i 0.260188 1.72623i
\(696\) 588.083 1141.72i 0.0320277 0.0621793i
\(697\) −7121.70 + 1073.42i −0.387021 + 0.0583340i
\(698\) −4784.72 + 4439.57i −0.259462 + 0.240746i
\(699\) −13991.5 + 33015.3i −0.757091 + 1.78649i
\(700\) 42466.7 10320.5i 2.29298 0.557255i
\(701\) −5202.57 4148.91i −0.280311 0.223541i 0.473234 0.880937i \(-0.343087\pi\)
−0.753545 + 0.657396i \(0.771658\pi\)
\(702\) 37369.4 + 214.215i 2.00914 + 0.0115171i
\(703\) 1930.09 6257.18i 0.103548 0.335696i
\(704\) −27830.6 16068.0i −1.48992 0.860206i
\(705\) 36417.3 + 22349.9i 1.94547 + 1.19396i
\(706\) 8631.44 1970.07i 0.460125 0.105021i
\(707\) −17176.9 + 10240.5i −0.913728 + 0.544743i
\(708\) −372.482 1333.65i −0.0197722 0.0707933i
\(709\) −24852.8 + 7666.09i −1.31646 + 0.406073i −0.871903 0.489679i \(-0.837114\pi\)
−0.444554 + 0.895752i \(0.646638\pi\)
\(710\) −4645.62 11836.9i −0.245559 0.625675i
\(711\) 14990.8 + 3090.13i 0.790715 + 0.162994i
\(712\) 944.567 + 3062.21i 0.0497179 + 0.161181i
\(713\) 4777.21 20930.3i 0.250923 1.09936i
\(714\) −14755.9 + 5573.71i −0.773425 + 0.292144i
\(715\) 15312.3 + 67087.7i 0.800907 + 3.50900i
\(716\) 10596.4 6117.81i 0.553079 0.319320i
\(717\) −9553.08 256.505i −0.497582 0.0133603i
\(718\) 6052.32 + 1866.89i 0.314583 + 0.0970361i
\(719\) 1610.60 + 21492.0i 0.0835401 + 1.11476i 0.868656 + 0.495416i \(0.164984\pi\)
−0.785116 + 0.619349i \(0.787397\pi\)
\(720\) 9691.12 + 29213.5i 0.501620 + 1.51211i
\(721\) 37612.4 526.793i 1.94280 0.0272105i
\(722\) 13566.9 10819.3i 0.699320 0.557689i
\(723\) 16079.0 + 5436.46i 0.827087 + 0.279646i
\(724\) 1430.15 + 9488.39i 0.0734129 + 0.487063i
\(725\) −12145.7 17814.5i −0.622182 0.912573i
\(726\) −10878.1 30065.9i −0.556093 1.53698i
\(727\) −992.004 2059.92i −0.0506071 0.105087i 0.874132 0.485689i \(-0.161431\pi\)
−0.924739 + 0.380602i \(0.875717\pi\)
\(728\) −606.503 3673.99i −0.0308770 0.187043i
\(729\) 16134.7 + 11273.5i 0.819726 + 0.572755i
\(730\) −10846.9 7395.29i −0.549947 0.374948i
\(731\) 1316.27 + 1221.32i 0.0665994 + 0.0617952i
\(732\) −7781.18 + 3493.12i −0.392897 + 0.176379i
\(733\) 772.417 + 303.151i 0.0389220 + 0.0152758i 0.384722 0.923032i \(-0.374297\pi\)
−0.345800 + 0.938308i \(0.612392\pi\)
\(734\) −51197.5 −2.57457
\(735\) 30679.0 + 17664.9i 1.53961 + 0.886501i
\(736\) −19955.4 −0.999411
\(737\) 26843.3 + 10535.2i 1.34164 + 0.526553i
\(738\) 12062.7 15799.2i 0.601674 0.788045i
\(739\) 7683.28 + 7129.04i 0.382454 + 0.354866i 0.847849 0.530237i \(-0.177897\pi\)
−0.465395 + 0.885103i \(0.654088\pi\)
\(740\) −18381.8 12532.5i −0.913147 0.622573i
\(741\) −17286.7 + 829.634i −0.857008 + 0.0411300i
\(742\) −1244.38 695.392i −0.0615670 0.0344052i
\(743\) 8593.74 + 17845.1i 0.424325 + 0.881121i 0.998071 + 0.0620871i \(0.0197757\pi\)
−0.573745 + 0.819034i \(0.694510\pi\)
\(744\) 4216.96 1525.73i 0.207797 0.0751827i
\(745\) 36335.1 + 53293.8i 1.78687 + 2.62085i
\(746\) 85.3120 + 566.008i 0.00418699 + 0.0277788i
\(747\) −3874.80 22477.0i −0.189788 1.10093i
\(748\) −14591.8 + 11636.6i −0.713275 + 0.568818i
\(749\) −18495.7 + 9228.36i −0.902295 + 0.450196i
\(750\) −60113.1 10718.0i −2.92669 0.521823i
\(751\) 1329.97 + 17747.2i 0.0646220 + 0.862321i 0.931486 + 0.363777i \(0.118513\pi\)
−0.866864 + 0.498544i \(0.833868\pi\)
\(752\) 22704.2 + 7003.33i 1.10098 + 0.339608i
\(753\) 60.6576 2259.09i 0.00293557 0.109330i
\(754\) −18452.8 + 10653.8i −0.891264 + 0.514572i
\(755\) −8352.76 36595.8i −0.402633 1.76405i
\(756\) 9700.04 20576.1i 0.466650 0.989873i
\(757\) −3550.08 + 15553.9i −0.170449 + 0.746785i 0.815366 + 0.578946i \(0.196536\pi\)
−0.985814 + 0.167839i \(0.946321\pi\)
\(758\) 15445.0 + 50071.5i 0.740090 + 2.39931i
\(759\) −16261.2 13697.8i −0.777661 0.655071i
\(760\) 1147.59 + 2924.00i 0.0547727 + 0.139559i
\(761\) −26209.1 + 8084.44i −1.24846 + 0.385100i −0.847402 0.530952i \(-0.821834\pi\)
−0.401060 + 0.916052i \(0.631358\pi\)
\(762\) 30117.2 8411.60i 1.43180 0.399895i
\(763\) −8607.59 9020.06i −0.408408 0.427979i
\(764\) 8407.01 1918.84i 0.398108 0.0908657i
\(765\) 21444.1 + 1152.40i 1.01348 + 0.0544642i
\(766\) −23324.2 13466.2i −1.10018 0.635190i
\(767\) −583.837 + 1892.75i −0.0274852 + 0.0891048i
\(768\) 9043.54 + 14061.0i 0.424910 + 0.660656i
\(769\) −2843.78 2267.84i −0.133354 0.106347i 0.554541 0.832156i \(-0.312894\pi\)
−0.687895 + 0.725810i \(0.741465\pi\)
\(770\) 78396.3 + 16741.9i 3.66910 + 0.783555i
\(771\) −1694.31 718.027i −0.0791428 0.0335397i
\(772\) 18638.1 17293.6i