Properties

Label 63.4.o.a.20.17
Level $63$
Weight $4$
Character 63.20
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 20.17
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.17

$q$-expansion

\(f(q)\) \(=\) \(q+(2.59186 + 1.49641i) q^{2} +(-1.03772 - 5.09148i) q^{3} +(0.478502 + 0.828790i) q^{4} +(-7.80147 - 13.5125i) q^{5} +(4.92933 - 14.7493i) q^{6} +(17.7116 + 5.41283i) q^{7} -21.0785i q^{8} +(-24.8463 + 10.5670i) q^{9} +O(q^{10})\) \(q+(2.59186 + 1.49641i) q^{2} +(-1.03772 - 5.09148i) q^{3} +(0.478502 + 0.828790i) q^{4} +(-7.80147 - 13.5125i) q^{5} +(4.92933 - 14.7493i) q^{6} +(17.7116 + 5.41283i) q^{7} -21.0785i q^{8} +(-24.8463 + 10.5670i) q^{9} -46.6969i q^{10} +(46.4700 + 26.8295i) q^{11} +(3.72322 - 3.29633i) q^{12} +(-29.1434 + 16.8260i) q^{13} +(37.8062 + 40.5332i) q^{14} +(-60.7031 + 53.7432i) q^{15} +(35.3701 - 61.2628i) q^{16} +43.5488 q^{17} +(-80.2108 - 9.79199i) q^{18} +32.2524i q^{19} +(7.46605 - 12.9316i) q^{20} +(9.17965 - 95.7953i) q^{21} +(80.2960 + 139.077i) q^{22} +(129.309 - 74.6565i) q^{23} +(-107.320 + 21.8735i) q^{24} +(-59.2260 + 102.582i) q^{25} -100.714 q^{26} +(79.5852 + 115.539i) q^{27} +(3.98894 + 17.2693i) q^{28} +(-127.390 - 73.5487i) q^{29} +(-237.756 + 48.4582i) q^{30} +(-61.1678 + 35.3153i) q^{31} +(37.3130 - 21.5427i) q^{32} +(88.3790 - 264.443i) q^{33} +(112.873 + 65.1670i) q^{34} +(-65.0355 - 281.557i) q^{35} +(-20.6469 - 15.5360i) q^{36} +40.3540 q^{37} +(-48.2629 + 83.5938i) q^{38} +(115.912 + 130.922i) q^{39} +(-284.824 + 164.443i) q^{40} +(179.454 + 310.824i) q^{41} +(167.142 - 234.552i) q^{42} +(-253.886 + 439.743i) q^{43} +51.3519i q^{44} +(336.625 + 253.298i) q^{45} +446.867 q^{46} +(228.160 - 395.185i) q^{47} +(-348.622 - 116.513i) q^{48} +(284.402 + 191.740i) q^{49} +(-307.011 + 177.253i) q^{50} +(-45.1914 - 221.728i) q^{51} +(-27.8904 - 16.1025i) q^{52} -213.420i q^{53} +(33.3805 + 418.553i) q^{54} -837.238i q^{55} +(114.094 - 373.333i) q^{56} +(164.212 - 33.4689i) q^{57} +(-220.118 - 381.256i) q^{58} +(-159.593 - 276.424i) q^{59} +(-73.5884 - 24.5939i) q^{60} +(303.662 + 175.319i) q^{61} -211.385 q^{62} +(-497.265 + 52.6705i) q^{63} -436.974 q^{64} +(454.723 + 262.535i) q^{65} +(624.782 - 553.148i) q^{66} +(-289.258 - 501.009i) q^{67} +(20.8382 + 36.0928i) q^{68} +(-514.298 - 580.900i) q^{69} +(252.762 - 827.077i) q^{70} +787.243i q^{71} +(222.737 + 523.721i) q^{72} +146.373i q^{73} +(104.592 + 60.3863i) q^{74} +(583.756 + 195.096i) q^{75} +(-26.7305 + 15.4329i) q^{76} +(677.836 + 726.728i) q^{77} +(104.513 + 512.785i) q^{78} +(-193.095 + 334.451i) q^{79} -1103.76 q^{80} +(505.676 - 525.103i) q^{81} +1074.15i q^{82} +(-98.9043 + 171.307i) q^{83} +(83.7867 - 38.2302i) q^{84} +(-339.745 - 588.455i) q^{85} +(-1316.07 + 759.835i) q^{86} +(-242.276 + 724.926i) q^{87} +(565.524 - 979.517i) q^{88} -596.020 q^{89} +(493.448 + 1160.24i) q^{90} +(-607.253 + 140.267i) q^{91} +(123.749 + 71.4466i) q^{92} +(243.282 + 274.787i) q^{93} +(1182.72 - 682.844i) q^{94} +(435.812 - 251.616i) q^{95} +(-148.404 - 167.623i) q^{96} +(631.485 + 364.588i) q^{97} +(450.210 + 922.547i) q^{98} +(-1438.12 - 175.563i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} + O(q^{10}) \) \( 44q - 6q^{2} + 78q^{4} + 5q^{7} - 18q^{11} + 204q^{14} + 66q^{15} - 242q^{16} - 210q^{18} - 57q^{21} - 34q^{22} - 102q^{23} - 352q^{25} + 300q^{28} + 246q^{29} - 144q^{30} + 1068q^{32} - 1818q^{36} + 328q^{37} - 798q^{39} - 1158q^{42} - 170q^{43} + 968q^{46} - 79q^{49} + 288q^{50} - 204q^{51} + 1212q^{56} + 324q^{57} - 538q^{58} + 5316q^{60} + 783q^{63} - 808q^{64} + 4350q^{65} - 590q^{67} + 384q^{70} + 4284q^{72} - 5304q^{74} - 2787q^{77} + 612q^{78} - 302q^{79} - 3720q^{81} + 7050q^{84} - 612q^{85} - 13692q^{86} + 1294q^{88} + 210q^{91} - 10194q^{92} - 4266q^{93} + 6336q^{95} + 1014q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.59186 + 1.49641i 0.916362 + 0.529062i 0.882473 0.470364i \(-0.155877\pi\)
0.0338893 + 0.999426i \(0.489211\pi\)
\(3\) −1.03772 5.09148i −0.199709 0.979855i
\(4\) 0.478502 + 0.828790i 0.0598128 + 0.103599i
\(5\) −7.80147 13.5125i −0.697785 1.20860i −0.969233 0.246146i \(-0.920836\pi\)
0.271448 0.962453i \(-0.412498\pi\)
\(6\) 4.92933 14.7493i 0.335398 1.00356i
\(7\) 17.7116 + 5.41283i 0.956337 + 0.292265i
\(8\) 21.0785i 0.931545i
\(9\) −24.8463 + 10.5670i −0.920233 + 0.391372i
\(10\) 46.6969i 1.47669i
\(11\) 46.4700 + 26.8295i 1.27375 + 0.735400i 0.975692 0.219148i \(-0.0703277\pi\)
0.298058 + 0.954548i \(0.403661\pi\)
\(12\) 3.72322 3.29633i 0.0895667 0.0792975i
\(13\) −29.1434 + 16.8260i −0.621764 + 0.358976i −0.777555 0.628814i \(-0.783541\pi\)
0.155791 + 0.987790i \(0.450207\pi\)
\(14\) 37.8062 + 40.5332i 0.721725 + 0.773782i
\(15\) −60.7031 + 53.7432i −1.04490 + 0.925096i
\(16\) 35.3701 61.2628i 0.552658 0.957231i
\(17\) 43.5488 0.621302 0.310651 0.950524i \(-0.399453\pi\)
0.310651 + 0.950524i \(0.399453\pi\)
\(18\) −80.2108 9.79199i −1.05033 0.128222i
\(19\) 32.2524i 0.389432i 0.980860 + 0.194716i \(0.0623785\pi\)
−0.980860 + 0.194716i \(0.937621\pi\)
\(20\) 7.46605 12.9316i 0.0834729 0.144579i
\(21\) 9.17965 95.7953i 0.0953888 0.995440i
\(22\) 80.2960 + 139.077i 0.778144 + 1.34778i
\(23\) 129.309 74.6565i 1.17229 0.676824i 0.218074 0.975932i \(-0.430023\pi\)
0.954219 + 0.299108i \(0.0966892\pi\)
\(24\) −107.320 + 21.8735i −0.912779 + 0.186038i
\(25\) −59.2260 + 102.582i −0.473808 + 0.820659i
\(26\) −100.714 −0.759681
\(27\) 79.5852 + 115.539i 0.567266 + 0.823534i
\(28\) 3.98894 + 17.2693i 0.0269228 + 0.116557i
\(29\) −127.390 73.5487i −0.815715 0.470953i 0.0332217 0.999448i \(-0.489423\pi\)
−0.848937 + 0.528495i \(0.822757\pi\)
\(30\) −237.756 + 48.4582i −1.44694 + 0.294907i
\(31\) −61.1678 + 35.3153i −0.354389 + 0.204607i −0.666617 0.745401i \(-0.732258\pi\)
0.312228 + 0.950007i \(0.398925\pi\)
\(32\) 37.3130 21.5427i 0.206127 0.119008i
\(33\) 88.3790 264.443i 0.466206 1.39496i
\(34\) 112.873 + 65.1670i 0.569338 + 0.328707i
\(35\) −65.0355 281.557i −0.314086 1.35977i
\(36\) −20.6469 15.5360i −0.0955873 0.0719260i
\(37\) 40.3540 0.179302 0.0896509 0.995973i \(-0.471425\pi\)
0.0896509 + 0.995973i \(0.471425\pi\)
\(38\) −48.2629 + 83.5938i −0.206034 + 0.356861i
\(39\) 115.912 + 130.922i 0.475916 + 0.537548i
\(40\) −284.824 + 164.443i −1.12586 + 0.650018i
\(41\) 179.454 + 310.824i 0.683562 + 1.18396i 0.973886 + 0.227036i \(0.0729036\pi\)
−0.290324 + 0.956928i \(0.593763\pi\)
\(42\) 167.142 234.552i 0.614060 0.861717i
\(43\) −253.886 + 439.743i −0.900400 + 1.55954i −0.0734235 + 0.997301i \(0.523392\pi\)
−0.826976 + 0.562237i \(0.809941\pi\)
\(44\) 51.3519i 0.175945i
\(45\) 336.625 + 253.298i 1.11514 + 0.839099i
\(46\) 446.867 1.43233
\(47\) 228.160 395.185i 0.708098 1.22646i −0.257464 0.966288i \(-0.582887\pi\)
0.965562 0.260174i \(-0.0837800\pi\)
\(48\) −348.622 116.513i −1.04832 0.350357i
\(49\) 284.402 + 191.740i 0.829162 + 0.559009i
\(50\) −307.011 + 177.253i −0.868359 + 0.501347i
\(51\) −45.1914 221.728i −0.124080 0.608786i
\(52\) −27.8904 16.1025i −0.0743789 0.0429427i
\(53\) 213.420i 0.553123i −0.960996 0.276561i \(-0.910805\pi\)
0.960996 0.276561i \(-0.0891949\pi\)
\(54\) 33.3805 + 418.553i 0.0841205 + 1.05477i
\(55\) 837.238i 2.05260i
\(56\) 114.094 373.333i 0.272258 0.890871i
\(57\) 164.212 33.4689i 0.381587 0.0777731i
\(58\) −220.118 381.256i −0.498327 0.863127i
\(59\) −159.593 276.424i −0.352157 0.609954i 0.634470 0.772947i \(-0.281218\pi\)
−0.986627 + 0.162993i \(0.947885\pi\)
\(60\) −73.5884 24.5939i −0.158337 0.0529176i
\(61\) 303.662 + 175.319i 0.637375 + 0.367989i 0.783603 0.621262i \(-0.213380\pi\)
−0.146227 + 0.989251i \(0.546713\pi\)
\(62\) −211.385 −0.432998
\(63\) −497.265 + 52.6705i −0.994437 + 0.105331i
\(64\) −436.974 −0.853466
\(65\) 454.723 + 262.535i 0.867715 + 0.500976i
\(66\) 624.782 553.148i 1.16523 1.03163i
\(67\) −289.258 501.009i −0.527440 0.913553i −0.999489 0.0319801i \(-0.989819\pi\)
0.472049 0.881572i \(-0.343515\pi\)
\(68\) 20.8382 + 36.0928i 0.0371618 + 0.0643662i
\(69\) −514.298 580.900i −0.897307 1.01351i
\(70\) 252.762 827.077i 0.431584 1.41221i
\(71\) 787.243i 1.31589i 0.753064 + 0.657947i \(0.228575\pi\)
−0.753064 + 0.657947i \(0.771425\pi\)
\(72\) 222.737 + 523.721i 0.364580 + 0.857238i
\(73\) 146.373i 0.234681i 0.993092 + 0.117340i \(0.0374368\pi\)
−0.993092 + 0.117340i \(0.962563\pi\)
\(74\) 104.592 + 60.3863i 0.164305 + 0.0948617i
\(75\) 583.756 + 195.096i 0.898751 + 0.300370i
\(76\) −26.7305 + 15.4329i −0.0403447 + 0.0232930i
\(77\) 677.836 + 726.728i 1.00320 + 1.07556i
\(78\) 104.513 + 512.785i 0.151715 + 0.744378i
\(79\) −193.095 + 334.451i −0.274999 + 0.476312i −0.970135 0.242566i \(-0.922011\pi\)
0.695136 + 0.718878i \(0.255344\pi\)
\(80\) −1103.76 −1.54254
\(81\) 505.676 525.103i 0.693656 0.720306i
\(82\) 1074.15i 1.44659i
\(83\) −98.9043 + 171.307i −0.130797 + 0.226547i −0.923984 0.382431i \(-0.875087\pi\)
0.793187 + 0.608978i \(0.208420\pi\)
\(84\) 83.7867 38.2302i 0.108832 0.0496579i
\(85\) −339.745 588.455i −0.433535 0.750905i
\(86\) −1316.07 + 759.835i −1.65018 + 0.952734i
\(87\) −242.276 + 724.926i −0.298560 + 0.893336i
\(88\) 565.524 979.517i 0.685058 1.18656i
\(89\) −596.020 −0.709865 −0.354932 0.934892i \(-0.615496\pi\)
−0.354932 + 0.934892i \(0.615496\pi\)
\(90\) 493.448 + 1160.24i 0.577933 + 1.35889i
\(91\) −607.253 + 140.267i −0.699532 + 0.161582i
\(92\) 123.749 + 71.4466i 0.140236 + 0.0809654i
\(93\) 243.282 + 274.787i 0.271260 + 0.306388i
\(94\) 1182.72 682.844i 1.29775 0.749255i
\(95\) 435.812 251.616i 0.470667 0.271740i
\(96\) −148.404 167.623i −0.157776 0.178208i
\(97\) 631.485 + 364.588i 0.661006 + 0.381632i 0.792660 0.609664i \(-0.208696\pi\)
−0.131654 + 0.991296i \(0.542029\pi\)
\(98\) 450.210 + 922.547i 0.464062 + 0.950932i
\(99\) −1438.12 175.563i −1.45996 0.178229i
\(100\) −113.359 −0.113359
\(101\) −286.723 + 496.619i −0.282476 + 0.489262i −0.971994 0.235006i \(-0.924489\pi\)
0.689518 + 0.724268i \(0.257822\pi\)
\(102\) 214.666 642.313i 0.208384 0.623514i
\(103\) −1420.04 + 819.860i −1.35845 + 0.784303i −0.989415 0.145111i \(-0.953646\pi\)
−0.369038 + 0.929414i \(0.620313\pi\)
\(104\) 354.665 + 614.298i 0.334402 + 0.579201i
\(105\) −1366.05 + 623.304i −1.26965 + 0.579316i
\(106\) 319.365 553.156i 0.292636 0.506861i
\(107\) 377.596i 0.341155i −0.985344 0.170577i \(-0.945437\pi\)
0.985344 0.170577i \(-0.0545633\pi\)
\(108\) −57.6756 + 121.245i −0.0513874 + 0.108026i
\(109\) −1166.06 −1.02467 −0.512334 0.858787i \(-0.671219\pi\)
−0.512334 + 0.858787i \(0.671219\pi\)
\(110\) 1252.85 2170.01i 1.08595 1.88093i
\(111\) −41.8761 205.462i −0.0358081 0.175690i
\(112\) 958.067 893.611i 0.808293 0.753913i
\(113\) −279.069 + 161.121i −0.232324 + 0.134132i −0.611644 0.791133i \(-0.709491\pi\)
0.379320 + 0.925266i \(0.376158\pi\)
\(114\) 475.699 + 158.983i 0.390819 + 0.130615i
\(115\) −2017.60 1164.86i −1.63602 0.944555i
\(116\) 140.773i 0.112676i
\(117\) 546.305 726.022i 0.431675 0.573682i
\(118\) 955.269i 0.745252i
\(119\) 771.320 + 235.722i 0.594175 + 0.181585i
\(120\) 1132.82 + 1279.53i 0.861769 + 0.973370i
\(121\) 774.144 + 1340.86i 0.581626 + 1.00741i
\(122\) 524.700 + 908.806i 0.389378 + 0.674422i
\(123\) 1396.33 1236.24i 1.02360 0.906241i
\(124\) −58.5379 33.7969i −0.0423940 0.0244762i
\(125\) −102.169 −0.0731064
\(126\) −1367.66 607.600i −0.966991 0.429597i
\(127\) 1356.31 0.947663 0.473832 0.880615i \(-0.342871\pi\)
0.473832 + 0.880615i \(0.342871\pi\)
\(128\) −1431.08 826.236i −0.988211 0.570544i
\(129\) 2502.40 + 836.324i 1.70794 + 0.570808i
\(130\) 785.720 + 1360.91i 0.530094 + 0.918150i
\(131\) −978.999 1695.68i −0.652943 1.13093i −0.982405 0.186762i \(-0.940201\pi\)
0.329462 0.944169i \(-0.393133\pi\)
\(132\) 261.457 53.2888i 0.172401 0.0351378i
\(133\) −174.577 + 571.242i −0.113818 + 0.372428i
\(134\) 1731.40i 1.11619i
\(135\) 940.340 1976.77i 0.599493 1.26025i
\(136\) 917.942i 0.578771i
\(137\) −859.395 496.172i −0.535935 0.309422i 0.207495 0.978236i \(-0.433469\pi\)
−0.743430 + 0.668814i \(0.766802\pi\)
\(138\) −463.722 2275.22i −0.286048 1.40347i
\(139\) 722.161 416.940i 0.440668 0.254420i −0.263213 0.964738i \(-0.584782\pi\)
0.703881 + 0.710318i \(0.251449\pi\)
\(140\) 202.232 188.627i 0.122084 0.113870i
\(141\) −2248.84 751.583i −1.34317 0.448898i
\(142\) −1178.04 + 2040.43i −0.696190 + 1.20584i
\(143\) −1805.73 −1.05596
\(144\) −231.449 + 1895.91i −0.133941 + 1.09717i
\(145\) 2295.15i 1.31450i
\(146\) −219.035 + 379.379i −0.124161 + 0.215052i
\(147\) 681.110 1647.00i 0.382157 0.924098i
\(148\) 19.3095 + 33.4450i 0.0107245 + 0.0185754i
\(149\) 1324.03 764.428i 0.727978 0.420298i −0.0897042 0.995968i \(-0.528592\pi\)
0.817682 + 0.575670i \(0.195259\pi\)
\(150\) 1221.07 + 1379.20i 0.664667 + 0.750742i
\(151\) −373.571 + 647.044i −0.201330 + 0.348713i −0.948957 0.315405i \(-0.897860\pi\)
0.747627 + 0.664118i \(0.231193\pi\)
\(152\) 679.831 0.362774
\(153\) −1082.03 + 460.182i −0.571743 + 0.243160i
\(154\) 669.373 + 2897.90i 0.350257 + 1.51636i
\(155\) 954.398 + 551.022i 0.494575 + 0.285543i
\(156\) −53.0433 + 158.713i −0.0272235 + 0.0814566i
\(157\) 1193.21 688.900i 0.606551 0.350192i −0.165064 0.986283i \(-0.552783\pi\)
0.771614 + 0.636091i \(0.219450\pi\)
\(158\) −1000.95 + 577.901i −0.503997 + 0.290983i
\(159\) −1086.62 + 221.470i −0.541980 + 0.110464i
\(160\) −582.193 336.129i −0.287665 0.166083i
\(161\) 2694.37 622.360i 1.31892 0.304651i
\(162\) 2096.41 604.296i 1.01673 0.293074i
\(163\) 1900.28 0.913139 0.456569 0.889688i \(-0.349078\pi\)
0.456569 + 0.889688i \(0.349078\pi\)
\(164\) −171.739 + 297.460i −0.0817715 + 0.141632i
\(165\) −4262.78 + 868.817i −2.01125 + 0.409923i
\(166\) −512.693 + 296.003i −0.239715 + 0.138399i
\(167\) 836.404 + 1448.69i 0.387562 + 0.671277i 0.992121 0.125283i \(-0.0399839\pi\)
−0.604559 + 0.796560i \(0.706651\pi\)
\(168\) −2019.22 193.493i −0.927297 0.0888590i
\(169\) −532.274 + 921.925i −0.242273 + 0.419629i
\(170\) 2033.59i 0.917468i
\(171\) −340.812 801.353i −0.152413 0.358368i
\(172\) −485.939 −0.215422
\(173\) −496.398 + 859.787i −0.218153 + 0.377852i −0.954243 0.299031i \(-0.903336\pi\)
0.736090 + 0.676883i \(0.236670\pi\)
\(174\) −1712.74 + 1516.36i −0.746219 + 0.660662i
\(175\) −1604.25 + 1496.32i −0.692970 + 0.646349i
\(176\) 3287.30 1897.92i 1.40790 0.812849i
\(177\) −1241.79 + 1099.42i −0.527338 + 0.466876i
\(178\) −1544.80 891.891i −0.650493 0.375562i
\(179\) 145.772i 0.0608687i 0.999537 + 0.0304343i \(0.00968905\pi\)
−0.999537 + 0.0304343i \(0.990311\pi\)
\(180\) −48.8551 + 400.195i −0.0202303 + 0.165716i
\(181\) 2253.56i 0.925448i −0.886502 0.462724i \(-0.846872\pi\)
0.886502 0.462724i \(-0.153128\pi\)
\(182\) −1783.81 545.150i −0.726511 0.222029i
\(183\) 577.518 1728.02i 0.233286 0.698026i
\(184\) −1573.64 2725.63i −0.630492 1.09204i
\(185\) −314.821 545.286i −0.125114 0.216704i
\(186\) 219.358 + 1076.26i 0.0864736 + 0.424276i
\(187\) 2023.72 + 1168.39i 0.791384 + 0.456906i
\(188\) 436.701 0.169413
\(189\) 784.192 + 2477.16i 0.301807 + 0.953369i
\(190\) 1506.09 0.575069
\(191\) 3201.45 + 1848.36i 1.21282 + 0.700222i 0.963373 0.268166i \(-0.0864175\pi\)
0.249448 + 0.968388i \(0.419751\pi\)
\(192\) 453.456 + 2224.85i 0.170445 + 0.836273i
\(193\) 2194.75 + 3801.42i 0.818559 + 1.41779i 0.906744 + 0.421681i \(0.138560\pi\)
−0.0881856 + 0.996104i \(0.528107\pi\)
\(194\) 1091.15 + 1889.92i 0.403814 + 0.699426i
\(195\) 864.815 2587.65i 0.317593 0.950285i
\(196\) −22.8250 + 327.458i −0.00831814 + 0.119336i
\(197\) 2110.35i 0.763229i 0.924322 + 0.381615i \(0.124632\pi\)
−0.924322 + 0.381615i \(0.875368\pi\)
\(198\) −3464.69 2607.05i −1.24356 0.935732i
\(199\) 3443.20i 1.22654i −0.789873 0.613271i \(-0.789854\pi\)
0.789873 0.613271i \(-0.210146\pi\)
\(200\) 2162.28 + 1248.39i 0.764481 + 0.441373i
\(201\) −2250.71 + 1992.66i −0.789815 + 0.699259i
\(202\) −1486.29 + 858.113i −0.517700 + 0.298894i
\(203\) −1858.18 1992.21i −0.642455 0.688795i
\(204\) 162.142 143.551i 0.0556480 0.0492677i
\(205\) 2800.02 4849.77i 0.953959 1.65231i
\(206\) −4907.40 −1.65978
\(207\) −2423.95 + 3221.35i −0.813893 + 1.08164i
\(208\) 2380.54i 0.793562i
\(209\) −865.316 + 1498.77i −0.286388 + 0.496039i
\(210\) −4473.34 428.661i −1.46995 0.140859i
\(211\) −1865.08 3230.41i −0.608518 1.05398i −0.991485 0.130223i \(-0.958431\pi\)
0.382966 0.923762i \(-0.374903\pi\)
\(212\) 176.881 102.122i 0.0573028 0.0330838i
\(213\) 4008.23 816.936i 1.28939 0.262796i
\(214\) 565.039 978.676i 0.180492 0.312621i
\(215\) 7922.73 2.51314
\(216\) 2435.38 1677.53i 0.767159 0.528434i
\(217\) −1274.54 + 294.399i −0.398715 + 0.0920973i
\(218\) −3022.28 1744.91i −0.938966 0.542112i
\(219\) 745.256 151.894i 0.229953 0.0468678i
\(220\) 693.895 400.620i 0.212647 0.122772i
\(221\) −1269.16 + 732.751i −0.386303 + 0.223032i
\(222\) 198.918 595.192i 0.0601375 0.179940i
\(223\) 2359.66 + 1362.35i 0.708585 + 0.409101i 0.810537 0.585688i \(-0.199176\pi\)
−0.101952 + 0.994789i \(0.532509\pi\)
\(224\) 777.481 179.587i 0.231909 0.0535675i
\(225\) 387.554 3174.63i 0.114831 0.940632i
\(226\) −964.411 −0.283857
\(227\) −2832.72 + 4906.41i −0.828256 + 1.43458i 0.0711495 + 0.997466i \(0.477333\pi\)
−0.899405 + 0.437116i \(0.856000\pi\)
\(228\) 106.315 + 120.083i 0.0308810 + 0.0348801i
\(229\) 366.827 211.787i 0.105854 0.0611149i −0.446138 0.894964i \(-0.647201\pi\)
0.551992 + 0.833849i \(0.313868\pi\)
\(230\) −3486.22 6038.32i −0.999456 1.73111i
\(231\) 2996.72 4205.33i 0.853548 1.19779i
\(232\) −1550.29 + 2685.18i −0.438714 + 0.759875i
\(233\) 234.803i 0.0660192i 0.999455 + 0.0330096i \(0.0105092\pi\)
−0.999455 + 0.0330096i \(0.989491\pi\)
\(234\) 2502.38 1064.25i 0.699083 0.297318i
\(235\) −7119.95 −1.97640
\(236\) 152.731 264.539i 0.0421270 0.0729661i
\(237\) 1903.23 + 636.075i 0.521637 + 0.174335i
\(238\) 1646.42 + 1765.17i 0.448409 + 0.480753i
\(239\) 1575.90 909.844i 0.426511 0.246246i −0.271348 0.962481i \(-0.587469\pi\)
0.697859 + 0.716235i \(0.254136\pi\)
\(240\) 1145.39 + 5619.74i 0.308060 + 1.51147i
\(241\) 2358.44 + 1361.65i 0.630377 + 0.363948i 0.780898 0.624659i \(-0.214762\pi\)
−0.150521 + 0.988607i \(0.548095\pi\)
\(242\) 4633.75i 1.23086i
\(243\) −3198.30 2029.73i −0.844325 0.535831i
\(244\) 335.562i 0.0880417i
\(245\) 372.137 5338.86i 0.0970407 1.39219i
\(246\) 5469.02 1114.67i 1.41745 0.288896i
\(247\) −542.678 939.946i −0.139797 0.242135i
\(248\) 744.391 + 1289.32i 0.190600 + 0.330129i
\(249\) 974.842 + 325.800i 0.248105 + 0.0829187i
\(250\) −264.809 152.887i −0.0669919 0.0386778i
\(251\) −4214.66 −1.05987 −0.529934 0.848039i \(-0.677783\pi\)
−0.529934 + 0.848039i \(0.677783\pi\)
\(252\) −281.595 386.926i −0.0703922 0.0967223i
\(253\) 8011.98 1.99094
\(254\) 3515.38 + 2029.60i 0.868403 + 0.501372i
\(255\) −2643.55 + 2340.45i −0.649198 + 0.574764i
\(256\) −724.881 1255.53i −0.176973 0.306526i
\(257\) −1388.99 2405.80i −0.337132 0.583929i 0.646760 0.762693i \(-0.276123\pi\)
−0.983892 + 0.178764i \(0.942790\pi\)
\(258\) 5234.40 + 5912.26i 1.26310 + 1.42667i
\(259\) 714.735 + 218.430i 0.171473 + 0.0524037i
\(260\) 502.494i 0.119859i
\(261\) 3942.36 + 481.276i 0.934965 + 0.114139i
\(262\) 5859.95i 1.38179i
\(263\) −2737.40 1580.44i −0.641808 0.370548i 0.143503 0.989650i \(-0.454163\pi\)
−0.785311 + 0.619102i \(0.787497\pi\)
\(264\) −5574.04 1862.89i −1.29946 0.434292i
\(265\) −2883.85 + 1664.99i −0.668504 + 0.385961i
\(266\) −1307.29 + 1219.34i −0.301336 + 0.281063i
\(267\) 618.500 + 3034.62i 0.141766 + 0.695565i
\(268\) 276.821 479.468i 0.0630953 0.109284i
\(269\) 4337.32 0.983088 0.491544 0.870853i \(-0.336433\pi\)
0.491544 + 0.870853i \(0.336433\pi\)
\(270\) 5395.30 3716.38i 1.21610 0.837674i
\(271\) 8399.64i 1.88281i −0.337276 0.941406i \(-0.609505\pi\)
0.337276 0.941406i \(-0.390495\pi\)
\(272\) 1540.33 2667.92i 0.343368 0.594730i
\(273\) 1344.32 + 2946.26i 0.298029 + 0.653171i
\(274\) −1484.96 2572.02i −0.327407 0.567085i
\(275\) −5504.47 + 3178.01i −1.20702 + 0.696876i
\(276\) 235.352 704.207i 0.0513280 0.153581i
\(277\) 1826.45 3163.50i 0.396176 0.686197i −0.597075 0.802186i \(-0.703670\pi\)
0.993250 + 0.115989i \(0.0370038\pi\)
\(278\) 2495.66 0.538415
\(279\) 1146.62 1523.82i 0.246043 0.326984i
\(280\) −5934.79 + 1370.85i −1.26668 + 0.292585i
\(281\) −7198.88 4156.27i −1.52829 0.882358i −0.999434 0.0336451i \(-0.989288\pi\)
−0.528854 0.848713i \(-0.677378\pi\)
\(282\) −4704.02 5313.20i −0.993334 1.12197i
\(283\) 1294.63 747.458i 0.271937 0.157003i −0.357831 0.933786i \(-0.616484\pi\)
0.629767 + 0.776784i \(0.283150\pi\)
\(284\) −652.459 + 376.697i −0.136325 + 0.0787073i
\(285\) −1733.35 1957.82i −0.360262 0.406917i
\(286\) −4680.20 2702.12i −0.967644 0.558669i
\(287\) 1495.99 + 6476.55i 0.307684 + 1.33205i
\(288\) −699.448 + 929.543i −0.143109 + 0.190187i
\(289\) −3016.50 −0.613983
\(290\) −3434.49 + 5948.72i −0.695450 + 1.20455i
\(291\) 1200.99 3593.53i 0.241935 0.723905i
\(292\) −121.313 + 70.0399i −0.0243126 + 0.0140369i
\(293\) −139.838 242.207i −0.0278820 0.0482931i 0.851748 0.523952i \(-0.175543\pi\)
−0.879630 + 0.475659i \(0.842210\pi\)
\(294\) 4229.94 3249.58i 0.839099 0.644623i
\(295\) −2490.12 + 4313.02i −0.491460 + 0.851233i
\(296\) 850.601i 0.167028i
\(297\) 598.486 + 7504.32i 0.116928 + 1.46614i
\(298\) 4575.60 0.889455
\(299\) −2512.33 + 4351.49i −0.485926 + 0.841649i
\(300\) 117.635 + 577.165i 0.0226388 + 0.111075i
\(301\) −6876.98 + 6414.31i −1.31688 + 1.22829i
\(302\) −1936.49 + 1118.03i −0.368982 + 0.213032i
\(303\) 2826.06 + 944.494i 0.535819 + 0.179075i
\(304\) 1975.87 + 1140.77i 0.372777 + 0.215223i
\(305\) 5470.99i 1.02711i
\(306\) −3493.09 426.430i −0.652570 0.0796646i
\(307\) 10727.5i 1.99430i 0.0754451 + 0.997150i \(0.475962\pi\)
−0.0754451 + 0.997150i \(0.524038\pi\)
\(308\) −277.959 + 909.525i −0.0514227 + 0.168263i
\(309\) 5647.90 + 6379.32i 1.03980 + 1.17446i
\(310\) 1649.11 + 2856.35i 0.302140 + 0.523321i
\(311\) −4776.34 8272.87i −0.870873 1.50840i −0.861095 0.508445i \(-0.830221\pi\)
−0.00977881 0.999952i \(-0.503113\pi\)
\(312\) 2759.64 2443.24i 0.500750 0.443337i
\(313\) 3195.36 + 1844.84i 0.577037 + 0.333153i 0.759955 0.649976i \(-0.225221\pi\)
−0.182918 + 0.983128i \(0.558554\pi\)
\(314\) 4123.51 0.741093
\(315\) 4591.11 + 6308.41i 0.821206 + 1.12838i
\(316\) −369.586 −0.0657938
\(317\) −652.484 376.712i −0.115606 0.0667453i 0.441082 0.897467i \(-0.354595\pi\)
−0.556688 + 0.830722i \(0.687928\pi\)
\(318\) −3147.79 1052.02i −0.555092 0.185516i
\(319\) −3946.55 6835.62i −0.692678 1.19975i
\(320\) 3409.04 + 5904.64i 0.595536 + 1.03150i
\(321\) −1922.52 + 391.838i −0.334282 + 0.0681316i
\(322\) 7914.74 + 2418.82i 1.36979 + 0.418620i
\(323\) 1404.55i 0.241955i
\(324\) 677.167 + 167.836i 0.116112 + 0.0287785i
\(325\) 3986.14i 0.680342i
\(326\) 4925.27 + 2843.61i 0.836766 + 0.483107i
\(327\) 1210.05 + 5936.99i 0.204635 + 1.00403i
\(328\) 6551.69 3782.62i 1.10292 0.636769i
\(329\) 6180.16 5764.38i 1.03563 0.965959i
\(330\) −12348.7 4127.02i −2.05991 0.688440i
\(331\) −3119.34 + 5402.86i −0.517989 + 0.897184i 0.481792 + 0.876285i \(0.339986\pi\)
−0.999782 + 0.0208983i \(0.993347\pi\)
\(332\) −189.304 −0.0312933
\(333\) −1002.65 + 426.423i −0.164999 + 0.0701736i
\(334\) 5006.42i 0.820177i
\(335\) −4513.27 + 7817.22i −0.736079 + 1.27493i
\(336\) −5544.00 3950.66i −0.900149 0.641447i
\(337\) −3929.76 6806.55i −0.635216 1.10023i −0.986469 0.163946i \(-0.947578\pi\)
0.351254 0.936280i \(-0.385756\pi\)
\(338\) −2759.16 + 1593.00i −0.444020 + 0.256355i
\(339\) 1109.94 + 1253.68i 0.177827 + 0.200856i
\(340\) 325.137 563.155i 0.0518619 0.0898275i
\(341\) −3789.96 −0.601871
\(342\) 315.815 2586.99i 0.0499337 0.409031i
\(343\) 3999.37 + 4935.45i 0.629579 + 0.776936i
\(344\) 9269.10 + 5351.52i 1.45278 + 0.838763i
\(345\) −3837.16 + 11481.4i −0.598800 + 1.79170i
\(346\) −2573.19 + 1485.63i −0.399814 + 0.230833i
\(347\) 1142.47 659.607i 0.176747 0.102045i −0.409016 0.912527i \(-0.634128\pi\)
0.585763 + 0.810482i \(0.300795\pi\)
\(348\) −716.742 + 146.082i −0.110406 + 0.0225024i
\(349\) −4291.07 2477.45i −0.658153 0.379985i 0.133420 0.991060i \(-0.457404\pi\)
−0.791573 + 0.611075i \(0.790738\pi\)
\(350\) −6397.10 + 1477.64i −0.976970 + 0.225666i
\(351\) −4263.44 2028.09i −0.648335 0.308409i
\(352\) 2311.92 0.350073
\(353\) 2690.76 4660.53i 0.405707 0.702706i −0.588696 0.808354i \(-0.700359\pi\)
0.994404 + 0.105648i \(0.0336918\pi\)
\(354\) −4863.73 + 991.300i −0.730239 + 0.148833i
\(355\) 10637.7 6141.65i 1.59039 0.918211i
\(356\) −285.197 493.975i −0.0424590 0.0735411i
\(357\) 399.763 4171.77i 0.0592653 0.618469i
\(358\) −218.135 + 377.820i −0.0322033 + 0.0557777i
\(359\) 3814.03i 0.560715i −0.959896 0.280357i \(-0.909547\pi\)
0.959896 0.280357i \(-0.0904530\pi\)
\(360\) 5339.13 7095.54i 0.781659 1.03880i
\(361\) 5818.78 0.848343
\(362\) 3372.26 5840.93i 0.489619 0.848046i
\(363\) 6023.60 5332.97i 0.870955 0.771097i
\(364\) −406.824 436.168i −0.0585806 0.0628060i
\(365\) 1977.88 1141.93i 0.283635 0.163757i
\(366\) 4082.68 3614.58i 0.583074 0.516222i
\(367\) −10883.1 6283.37i −1.54794 0.893704i −0.998299 0.0583038i \(-0.981431\pi\)
−0.549642 0.835400i \(-0.685236\pi\)
\(368\) 10562.4i 1.49621i
\(369\) −7743.26 5826.52i −1.09241 0.821996i
\(370\) 1884.41i 0.264772i
\(371\) 1155.21 3780.01i 0.161659 0.528972i
\(372\) −111.330 + 333.116i −0.0155167 + 0.0464281i
\(373\) 2338.60 + 4050.58i 0.324633 + 0.562281i 0.981438 0.191779i \(-0.0614258\pi\)
−0.656805 + 0.754061i \(0.728092\pi\)
\(374\) 3496.80 + 6056.63i 0.483463 + 0.837382i
\(375\) 106.023 + 520.193i 0.0146000 + 0.0716337i
\(376\) −8329.90 4809.27i −1.14250 0.659625i
\(377\) 4950.11 0.676243
\(378\) −1674.33 + 7593.93i −0.227827 + 1.03331i
\(379\) −4851.71 −0.657561 −0.328780 0.944406i \(-0.606638\pi\)
−0.328780 + 0.944406i \(0.606638\pi\)
\(380\) 417.074 + 240.798i 0.0563038 + 0.0325070i
\(381\) −1407.47 6905.63i −0.189257 0.928573i
\(382\) 5531.81 + 9581.38i 0.740922 + 1.28331i
\(383\) 2456.18 + 4254.22i 0.327689 + 0.567573i 0.982053 0.188606i \(-0.0603970\pi\)
−0.654364 + 0.756180i \(0.727064\pi\)
\(384\) −2721.70 + 8143.72i −0.361696 + 1.08225i
\(385\) 4531.83 14828.8i 0.599905 1.96298i
\(386\) 13137.0i 1.73227i
\(387\) 1661.34 13608.8i 0.218218 1.78753i
\(388\) 697.825i 0.0913059i
\(389\) −4621.95 2668.48i −0.602421 0.347808i 0.167572 0.985860i \(-0.446407\pi\)
−0.769994 + 0.638052i \(0.779741\pi\)
\(390\) 6113.67 5412.72i 0.793790 0.702778i
\(391\) 5631.24 3251.20i 0.728349 0.420512i
\(392\) 4041.58 5994.77i 0.520742 0.772401i
\(393\) −7617.57 + 6744.18i −0.977750 + 0.865646i
\(394\) −3157.95 + 5469.74i −0.403795 + 0.699394i
\(395\) 6025.71 0.767561
\(396\) −542.637 1275.90i −0.0688600 0.161911i
\(397\) 1308.17i 0.165378i 0.996575 + 0.0826889i \(0.0263508\pi\)
−0.996575 + 0.0826889i \(0.973649\pi\)
\(398\) 5152.44 8924.29i 0.648916 1.12396i
\(399\) 3089.63 + 296.066i 0.387656 + 0.0371475i
\(400\) 4189.66 + 7256.70i 0.523707 + 0.907087i
\(401\) −1742.21 + 1005.86i −0.216962 + 0.125263i −0.604543 0.796573i \(-0.706644\pi\)
0.387581 + 0.921836i \(0.373311\pi\)
\(402\) −8815.37 + 1796.70i −1.09371 + 0.222914i
\(403\) 1188.43 2058.42i 0.146898 0.254434i
\(404\) −548.791 −0.0675826
\(405\) −11040.5 2736.39i −1.35458 0.335734i
\(406\) −1834.98 7944.12i −0.224306 0.971084i
\(407\) 1875.25 + 1082.68i 0.228386 + 0.131858i
\(408\) −4673.68 + 952.565i −0.567112 + 0.115586i
\(409\) 61.5250 35.5215i 0.00743818 0.00429444i −0.496276 0.868165i \(-0.665300\pi\)
0.503714 + 0.863870i \(0.331966\pi\)
\(410\) 14514.5 8379.96i 1.74834 1.00941i
\(411\) −1634.44 + 4890.48i −0.196158 + 0.586933i
\(412\) −1358.98 784.610i −0.162506 0.0938227i
\(413\) −1330.42 5759.76i −0.158512 0.686245i
\(414\) −11103.0 + 4722.06i −1.31807 + 0.560572i
\(415\) 3086.40 0.365073
\(416\) −724.953 + 1255.66i −0.0854417 + 0.147989i
\(417\) −2872.24 3244.20i −0.337300 0.380981i
\(418\) −4485.56 + 2589.74i −0.524871 + 0.303034i
\(419\) −1825.15 3161.25i −0.212803 0.368585i 0.739788 0.672840i \(-0.234926\pi\)
−0.952591 + 0.304255i \(0.901592\pi\)
\(420\) −1170.25 833.919i −0.135958 0.0968835i
\(421\) −2970.12 + 5144.40i −0.343836 + 0.595541i −0.985142 0.171744i \(-0.945060\pi\)
0.641306 + 0.767285i \(0.278393\pi\)
\(422\) 11163.7i 1.28778i
\(423\) −1493.00 + 12229.9i −0.171613 + 1.40576i
\(424\) −4498.57 −0.515259
\(425\) −2579.22 + 4467.34i −0.294378 + 0.509877i
\(426\) 11611.3 + 3880.58i 1.32058 + 0.441349i
\(427\) 4429.37 + 4748.85i 0.501995 + 0.538204i
\(428\) 312.948 180.680i 0.0353432 0.0204054i
\(429\) 1873.84 + 9193.83i 0.210885 + 1.03469i
\(430\) 20534.6 + 11855.7i 2.30295 + 1.32961i
\(431\) 7508.08i 0.839098i 0.907733 + 0.419549i \(0.137812\pi\)
−0.907733 + 0.419549i \(0.862188\pi\)
\(432\) 9893.16 789.001i 1.10182 0.0878723i
\(433\) 6880.95i 0.763689i 0.924227 + 0.381845i \(0.124711\pi\)
−0.924227 + 0.381845i \(0.875289\pi\)
\(434\) −3743.97 1144.19i −0.414092 0.126550i
\(435\) 11685.7 2381.72i 1.28802 0.262517i
\(436\) −557.964 966.423i −0.0612882 0.106154i
\(437\) 2407.85 + 4170.52i 0.263577 + 0.456529i
\(438\) 2158.90 + 721.522i 0.235516 + 0.0787115i
\(439\) 4495.14 + 2595.27i 0.488705 + 0.282154i 0.724037 0.689761i \(-0.242285\pi\)
−0.235332 + 0.971915i \(0.575618\pi\)
\(440\) −17647.7 −1.91209
\(441\) −9092.47 1758.73i −0.981802 0.189908i
\(442\) −4385.99 −0.471992
\(443\) −878.510 507.208i −0.0942196 0.0543977i 0.452150 0.891942i \(-0.350657\pi\)
−0.546369 + 0.837544i \(0.683991\pi\)
\(444\) 150.247 133.020i 0.0160595 0.0142182i
\(445\) 4649.83 + 8053.74i 0.495333 + 0.857942i
\(446\) 4077.27 + 7062.04i 0.432880 + 0.749770i
\(447\) −5266.04 5948.00i −0.557215 0.629376i
\(448\) −7739.52 2365.27i −0.816201 0.249439i
\(449\) 6361.05i 0.668589i −0.942469 0.334295i \(-0.891502\pi\)
0.942469 0.334295i \(-0.108498\pi\)
\(450\) 5755.05 7648.27i 0.602879 0.801207i
\(451\) 19258.7i 2.01077i
\(452\) −267.070 154.193i −0.0277919 0.0160456i
\(453\) 3682.07 + 1230.58i 0.381896 + 0.127633i
\(454\) −14684.0 + 8477.83i −1.51796 + 0.876397i
\(455\) 6632.83 + 7111.25i 0.683410 + 0.732705i
\(456\) −705.473 3461.34i −0.0724491 0.355466i
\(457\) −2808.03 + 4863.65i −0.287427 + 0.497838i −0.973195 0.229982i \(-0.926133\pi\)
0.685768 + 0.727820i \(0.259467\pi\)
\(458\) 1267.69 0.129334
\(459\) 3465.84 + 5031.57i 0.352444 + 0.511664i
\(460\) 2229.55i 0.225986i
\(461\) 2311.52 4003.68i 0.233532 0.404490i −0.725313 0.688420i \(-0.758305\pi\)
0.958845 + 0.283929i \(0.0916382\pi\)
\(462\) 14060.0 6415.30i 1.41587 0.646032i
\(463\) 2180.04 + 3775.94i 0.218823 + 0.379012i 0.954448 0.298376i \(-0.0964450\pi\)
−0.735626 + 0.677388i \(0.763112\pi\)
\(464\) −9011.59 + 5202.85i −0.901622 + 0.520552i
\(465\) 1815.12 5431.10i 0.181020 0.541637i
\(466\) −351.363 + 608.578i −0.0349283 + 0.0604975i
\(467\) −10923.9 −1.08243 −0.541216 0.840884i \(-0.682036\pi\)
−0.541216 + 0.840884i \(0.682036\pi\)
\(468\) 863.129 + 105.369i 0.0852524 + 0.0104075i
\(469\) −2411.34 10439.4i −0.237410 1.02782i
\(470\) −18453.9 10654.4i −1.81110 1.04564i
\(471\) −4745.73 5360.31i −0.464271 0.524395i
\(472\) −5826.58 + 3363.98i −0.568200 + 0.328050i
\(473\) −23596.1 + 13623.2i −2.29377 + 1.32431i
\(474\) 3981.07 + 4496.63i 0.385774 + 0.435732i
\(475\) −3308.53 1910.18i −0.319591 0.184516i
\(476\) 173.714 + 752.056i 0.0167272 + 0.0724169i
\(477\) 2255.22 + 5302.70i 0.216477 + 0.509002i
\(478\) 5446.01 0.521118
\(479\) 4797.57 8309.64i 0.457634 0.792645i −0.541202 0.840893i \(-0.682030\pi\)
0.998835 + 0.0482479i \(0.0153637\pi\)
\(480\) −1107.24 + 3313.03i −0.105288 + 0.315038i
\(481\) −1176.06 + 678.996i −0.111483 + 0.0643649i
\(482\) 4075.18 + 7058.41i 0.385102 + 0.667016i
\(483\) −5964.73 13072.5i −0.561914 1.23151i
\(484\) −740.859 + 1283.21i −0.0695773 + 0.120511i
\(485\) 11377.3i 1.06519i
\(486\) −5252.24 10046.7i −0.490219 0.937716i
\(487\) −8240.46 −0.766758 −0.383379 0.923591i \(-0.625240\pi\)
−0.383379 + 0.923591i \(0.625240\pi\)
\(488\) 3695.46 6400.72i 0.342798 0.593744i
\(489\) −1971.96 9675.25i −0.182362 0.894744i
\(490\) 8953.66 13280.7i 0.825480 1.22441i
\(491\) 1742.44 1006.00i 0.160153 0.0924645i −0.417781 0.908548i \(-0.637192\pi\)
0.577935 + 0.816083i \(0.303859\pi\)
\(492\) 1692.73 + 565.724i 0.155110 + 0.0518390i
\(493\) −5547.68 3202.96i −0.506806 0.292604i
\(494\) 3248.28i 0.295844i
\(495\) 8847.13 + 20802.3i 0.803331 + 1.88887i
\(496\) 4996.42i 0.452310i
\(497\) −4261.21 + 13943.3i −0.384591 + 1.25844i
\(498\) 2039.12 + 2303.20i 0.183485 + 0.207246i
\(499\) −7186.51 12447.4i −0.644714 1.11668i −0.984367 0.176127i \(-0.943643\pi\)
0.339653 0.940551i \(-0.389690\pi\)
\(500\) −48.8883 84.6769i −0.00437270 0.00757374i
\(501\) 6508.04 5761.87i 0.580355 0.513815i
\(502\) −10923.8 6306.87i −0.971222 0.560735i
\(503\) 12261.8 1.08693 0.543467 0.839430i \(-0.317111\pi\)
0.543467 + 0.839430i \(0.317111\pi\)
\(504\) 1110.21 + 10481.6i 0.0981206 + 0.926363i
\(505\) 8947.46 0.788429
\(506\) 20766.0 + 11989.2i 1.82443 + 1.05333i
\(507\) 5246.31 + 1753.36i 0.459560 + 0.153589i
\(508\) 648.998 + 1124.10i 0.0566824 + 0.0981768i
\(509\) −10985.2 19026.9i −0.956602 1.65688i −0.730658 0.682744i \(-0.760787\pi\)
−0.225945 0.974140i \(-0.572547\pi\)
\(510\) −10354.0 + 2110.30i −0.898986 + 0.183227i
\(511\) −792.294 + 2592.51i −0.0685891 + 0.224434i
\(512\) 8880.88i 0.766569i
\(513\) −3726.40 + 2566.82i −0.320711 + 0.220912i
\(514\) 8314.01i 0.713454i
\(515\) 22156.8 + 12792.2i 1.89582 + 1.09455i
\(516\) 504.268 + 2474.15i 0.0430216 + 0.211082i
\(517\) 21205.3 12242.9i 1.80388 1.04147i
\(518\) 1525.63 + 1635.68i 0.129406 + 0.138741i
\(519\) 4892.71 + 1635.18i 0.413807 + 0.138298i
\(520\) 5533.82 9584.87i 0.466681 0.808316i
\(521\) −9869.79 −0.829949 −0.414974 0.909833i \(-0.636209\pi\)
−0.414974 + 0.909833i \(0.636209\pi\)
\(522\) 9497.87 + 7146.80i 0.796380 + 0.599247i
\(523\) 4243.21i 0.354766i −0.984142 0.177383i \(-0.943237\pi\)
0.984142 0.177383i \(-0.0567632\pi\)
\(524\) 936.906 1622.77i 0.0781087 0.135288i
\(525\) 9283.23 + 6615.24i 0.771721 + 0.549929i
\(526\) −4729.98 8192.57i −0.392086 0.679112i
\(527\) −2663.79 + 1537.94i −0.220183 + 0.127123i
\(528\) −13074.5 14767.7i −1.07764 1.21720i
\(529\) 5063.67 8770.54i 0.416181 0.720846i
\(530\) −9966.06 −0.816788
\(531\) 6886.28 + 5181.67i 0.562785 + 0.423475i
\(532\) −556.976 + 128.653i −0.0453909 + 0.0104846i
\(533\) −10459.8 6038.99i −0.850029 0.490765i
\(534\) −2937.98 + 8790.85i −0.238087 + 0.712392i
\(535\) −5102.28 + 2945.80i −0.412319 + 0.238053i
\(536\) −10560.5 + 6097.11i −0.851015 + 0.491334i
\(537\) 742.194 151.270i 0.0596425 0.0121560i
\(538\) 11241.7 + 6490.41i 0.900865 + 0.520115i
\(539\) 8071.91 + 16540.5i 0.645050 + 1.32180i
\(540\) 2088.28 166.545i 0.166417 0.0132721i
\(541\) 3649.63 0.290037 0.145018 0.989429i \(-0.453676\pi\)
0.145018 + 0.989429i \(0.453676\pi\)
\(542\) 12569.3 21770.7i 0.996124 1.72534i
\(543\) −11474.0 + 2338.56i −0.906805 + 0.184820i
\(544\) 1624.94 938.158i 0.128067 0.0739397i
\(545\) 9097.02 + 15756.5i 0.714997 + 1.23841i
\(546\) −924.523 + 9647.96i −0.0724651 + 0.756217i
\(547\) 758.912 1314.47i 0.0593212 0.102747i −0.834840 0.550493i \(-0.814440\pi\)
0.894161 + 0.447746i \(0.147773\pi\)
\(548\) 949.678i 0.0740296i
\(549\) −9397.47 1147.23i −0.730554 0.0891847i
\(550\) −19022.4 −1.47476
\(551\) 2372.12 4108.64i 0.183404 0.317666i
\(552\) −12244.5 + 10840.6i −0.944130 + 0.835882i
\(553\) −5230.36 + 4878.47i −0.402201 + 0.375142i
\(554\) 9467.81 5466.24i 0.726081 0.419203i
\(555\) −2449.62 + 2168.76i −0.187352 + 0.165871i
\(556\) 691.111 + 399.013i 0.0527152 + 0.0304351i
\(557\) 3101.35i 0.235922i 0.993018 + 0.117961i \(0.0376357\pi\)
−0.993018 + 0.117961i \(0.962364\pi\)
\(558\) 5252.13 2233.71i 0.398459 0.169463i
\(559\) 17087.5i 1.29289i
\(560\) −19549.3 5974.44i −1.47519 0.450833i
\(561\) 3848.80 11516.2i 0.289655 0.866690i
\(562\) −12439.0 21545.0i −0.933643 1.61712i
\(563\) −488.465 846.047i −0.0365655 0.0633333i 0.847164 0.531332i \(-0.178308\pi\)
−0.883729 + 0.467999i \(0.844975\pi\)
\(564\) −453.173 2223.45i −0.0338333 0.166001i
\(565\) 4354.30 + 2513.96i 0.324224 + 0.187191i
\(566\) 4474.02 0.332256
\(567\) 11798.6 6563.29i 0.873890 0.486124i
\(568\) 16593.9 1.22581
\(569\) 14997.0 + 8658.53i 1.10493 + 0.637934i 0.937513 0.347952i \(-0.113123\pi\)
0.167421 + 0.985885i \(0.446456\pi\)
\(570\) −1562.89 7668.21i −0.114846 0.563484i
\(571\) −9602.72 16632.4i −0.703785 1.21899i −0.967128 0.254289i \(-0.918158\pi\)
0.263343 0.964702i \(-0.415175\pi\)
\(572\) −864.045 1496.57i −0.0631601 0.109396i
\(573\) 6088.67 18218.2i 0.443906 1.32823i
\(574\) −5814.20 + 19024.9i −0.422787 + 1.38343i
\(575\) 17686.4i 1.28274i
\(576\) 10857.2 4617.52i 0.785387 0.334022i
\(577\) 19299.1i 1.39243i 0.717832 + 0.696216i \(0.245134\pi\)
−0.717832 + 0.696216i \(0.754866\pi\)
\(578\) −7818.36 4513.93i −0.562631 0.324835i
\(579\) 17077.3 15119.3i 1.22575 1.08521i
\(580\) −1902.20 + 1098.24i −0.136180 + 0.0786237i
\(581\) −2679.01 + 2498.78i −0.191298 + 0.178428i
\(582\) 8490.20 7516.76i 0.604691 0.535361i
\(583\) 5725.95 9917.64i 0.406766 0.704540i
\(584\) 3085.32 0.218616
\(585\) −14072.4 1717.93i −0.994568 0.121415i
\(586\) 837.023i 0.0590053i
\(587\) −4690.62 + 8124.39i −0.329817 + 0.571260i −0.982475 0.186392i \(-0.940320\pi\)
0.652658 + 0.757652i \(0.273654\pi\)
\(588\) 1690.93 223.596i 0.118593 0.0156819i
\(589\) −1139.00 1972.81i −0.0796804 0.138011i
\(590\) −12908.1 + 7452.51i −0.900710 + 0.520025i
\(591\) 10744.8 2189.95i 0.747854 0.152424i
\(592\) 1427.33 2472.20i 0.0990925 0.171633i
\(593\) −21351.5 −1.47859 −0.739294 0.673383i \(-0.764841\pi\)
−0.739294 + 0.673383i \(0.764841\pi\)
\(594\) −9678.37 + 20345.8i −0.668532 + 1.40538i
\(595\) −2832.22 12261.5i −0.195142 0.844826i
\(596\) 1267.10 + 731.562i 0.0870847 + 0.0502784i
\(597\) −17531.0 + 3573.07i −1.20183 + 0.244951i
\(598\) −13023.2 + 7518.98i −0.890569 + 0.514170i
\(599\) 15576.0 8992.82i 1.06247 0.613417i 0.136355 0.990660i \(-0.456461\pi\)
0.926114 + 0.377243i \(0.123128\pi\)
\(600\) 4112.32 12304.7i 0.279808 0.837227i
\(601\) 14051.1 + 8112.39i 0.953669 + 0.550601i 0.894219 0.447630i \(-0.147732\pi\)
0.0594502 + 0.998231i \(0.481065\pi\)
\(602\) −27422.6 + 6334.22i −1.85658 + 0.428843i
\(603\) 12481.2 + 9391.62i 0.842906 + 0.634256i
\(604\) −715.019 −0.0481684
\(605\) 12078.9 20921.3i 0.811699 1.40590i
\(606\) 5911.42 + 6676.96i 0.396262 + 0.447579i
\(607\) −9689.02 + 5593.96i −0.647883 + 0.374055i −0.787645 0.616130i \(-0.788700\pi\)
0.139762 + 0.990185i \(0.455366\pi\)
\(608\) 694.803 + 1203.43i 0.0463454 + 0.0802726i
\(609\) −8215.01 + 11528.2i −0.546616 + 0.767072i
\(610\) 8186.86 14180.1i 0.543404 0.941203i
\(611\) 15356.1i 1.01676i
\(612\) −899.146 676.575i −0.0593886 0.0446878i
\(613\) 26379.5 1.73810 0.869052 0.494720i \(-0.164729\pi\)
0.869052 + 0.494720i \(0.164729\pi\)
\(614\) −16052.7 + 27804.2i −1.05511 + 1.82750i
\(615\) −27598.1 9223.53i −1.80953 0.604762i
\(616\) 15318.3 14287.7i 1.00194 0.934528i
\(617\) 18989.8 10963.8i 1.23906 0.715371i 0.270157 0.962816i \(-0.412924\pi\)
0.968902 + 0.247445i \(0.0795909\pi\)
\(618\) 5092.49 + 24985.9i 0.331473 + 1.62634i
\(619\) 15019.6 + 8671.59i 0.975267 + 0.563071i 0.900838 0.434156i \(-0.142953\pi\)
0.0744291 + 0.997226i \(0.476287\pi\)
\(620\) 1054.66i 0.0683165i
\(621\) 18916.8 + 8998.61i 1.22239 + 0.581485i
\(622\) 28589.5i 1.84298i
\(623\) −10556.5 3226.15i −0.678870 0.207469i
\(624\) 12120.5 2470.33i 0.777576 0.158481i
\(625\) 8200.32 + 14203.4i 0.524820 + 0.909015i
\(626\) 5521.30 + 9563.17i 0.352517 + 0.610577i
\(627\) 8528.91 + 2850.44i 0.543241 + 0.181556i
\(628\) 1141.91 + 659.280i 0.0725590 + 0.0418919i
\(629\) 1757.37 0.111401
\(630\) 2459.55 + 23220.7i 0.155541 + 1.46847i
\(631\) −30543.8 −1.92699 −0.963495 0.267727i \(-0.913727\pi\)
−0.963495 + 0.267727i \(0.913727\pi\)
\(632\) 7049.71 + 4070.15i 0.443706 + 0.256174i
\(633\) −14512.1 + 12848.3i −0.911226 + 0.806750i
\(634\) −1127.43 1952.77i −0.0706248 0.122326i
\(635\) −10581.2 18327.2i −0.661265 1.14534i
\(636\) −703.504 794.609i −0.0438612 0.0495414i
\(637\) −11514.7 802.614i −0.716213 0.0499226i
\(638\) 23622.7i 1.46588i
\(639\) −8318.82 19560.1i −0.515004 1.21093i
\(640\) 25783.4i 1.59247i
\(641\) −513.438 296.433i −0.0316374 0.0182659i 0.484098 0.875014i \(-0.339148\pi\)
−0.515735 + 0.856748i \(0.672481\pi\)
\(642\) −5569.26 1861.29i −0.342369 0.114423i
\(643\) −27553.5 + 15908.0i −1.68990 + 0.975661i −0.735307 + 0.677735i \(0.762962\pi\)
−0.954589 + 0.297927i \(0.903705\pi\)
\(644\) 1805.07 + 1935.27i 0.110450 + 0.118416i
\(645\) −8221.55 40338.4i −0.501897 2.46251i
\(646\) −2101.79 + 3640.41i −0.128009 + 0.221718i
\(647\) 14337.8 0.871218 0.435609 0.900136i \(-0.356533\pi\)
0.435609 + 0.900136i \(0.356533\pi\)
\(648\) −11068.4 10658.9i −0.670997 0.646172i
\(649\) 17127.2i 1.03591i
\(650\) 5964.90 10331.5i 0.359943 0.623439i
\(651\) 2821.54 + 6183.77i 0.169869 + 0.372290i
\(652\) 909.290 + 1574.94i 0.0546174 + 0.0946001i
\(653\) 1310.50 756.617i 0.0785356 0.0453426i −0.460218 0.887806i \(-0.652229\pi\)
0.538754 + 0.842463i \(0.318895\pi\)
\(654\) −5747.92 + 17198.6i −0.343672 + 1.02832i
\(655\) −15275.3 + 26457.5i −0.911228 + 1.57829i
\(656\) 25389.3 1.51110
\(657\) −1546.73 3636.83i −0.0918474 0.215961i
\(658\) 24644.0 5692.40i 1.46007 0.337254i
\(659\) 2743.47 + 1583.94i 0.162171 + 0.0936293i 0.578889 0.815406i \(-0.303486\pi\)
−0.416718 + 0.909036i \(0.636820\pi\)
\(660\) −2759.82 3117.22i −0.162766 0.183845i
\(661\) 4954.29 2860.36i 0.291527 0.168313i −0.347103 0.937827i \(-0.612835\pi\)
0.638630 + 0.769514i \(0.279501\pi\)
\(662\) −16169.8 + 9335.64i −0.949331 + 0.548097i
\(663\) 5047.82 + 5701.52i 0.295688 + 0.333980i
\(664\) 3610.89 + 2084.75i 0.211039 + 0.121843i
\(665\) 9080.90 2097.55i 0.529537 0.122315i
\(666\) −3236.83 395.146i −0.188325 0.0229904i
\(667\) −21963.5 −1.27501
\(668\) −800.442 + 1386.41i −0.0463623 + 0.0803019i
\(669\) 4487.71 13427.9i 0.259350 0.776011i
\(670\) −23395.6 + 13507.4i −1.34903 + 0.778863i
\(671\) 9407.45 + 16294.2i 0.541238 + 0.937451i
\(672\) −1721.17 3772.16i −0.0988027 0.216539i
\(673\) 3370.28 5837.50i 0.193038 0.334352i −0.753217 0.657772i \(-0.771499\pi\)
0.946256 + 0.323420i \(0.104833\pi\)
\(674\) 23522.2i 1.34427i
\(675\) −16565.7 + 1321.15i −0.944616 + 0.0753352i
\(676\) −1018.78 −0.0579641
\(677\) 2209.63 3827.20i 0.125440 0.217269i −0.796465 0.604685i \(-0.793299\pi\)
0.921905 + 0.387416i \(0.126632\pi\)
\(678\) 1000.79 + 4910.28i 0.0566888 + 0.278139i
\(679\) 9211.16 + 9875.56i 0.520607 + 0.558158i
\(680\) −12403.7 + 7161.30i −0.699502 + 0.403858i
\(681\) 27920.4 + 9331.25i 1.57109 + 0.525072i
\(682\) −9823.06 5671.35i −0.551532 0.318427i
\(683\) 25188.7i 1.41115i −0.708633 0.705577i \(-0.750688\pi\)
0.708633 0.705577i \(-0.249312\pi\)
\(684\) 501.074 665.911i 0.0280103 0.0372248i
\(685\) 15483.5i 0.863640i
\(686\) 2980.35 + 18776.7i 0.165875 + 1.04504i
\(687\) −1458.97 1647.91i −0.0810237 0.0915165i
\(688\) 17959.9 + 31107.5i 0.995225 + 1.72378i
\(689\) 3591.00 + 6219.79i 0.198558 + 0.343912i
\(690\) −27126.2 + 24016.1i −1.49664 + 1.32504i
\(691\) −21.1593 12.2163i −0.00116489 0.000672548i 0.499417 0.866361i \(-0.333547\pi\)
−0.500582 + 0.865689i \(0.666881\pi\)
\(692\) −950.111 −0.0521933
\(693\) −24521.1 10893.8i −1.34412 0.597144i
\(694\) 3948.18 0.215952
\(695\) −11267.8 6505.49i −0.614983 0.355061i
\(696\) 15280.3 + 5106.81i 0.832183 + 0.278122i
\(697\) 7815.02 + 13536.0i 0.424699 + 0.735600i
\(698\) −7414.57 12842.4i −0.402071 0.696408i
\(699\) 1195.50 243.660i 0.0646893 0.0131846i
\(700\) −2007.77 613.593i −0.108409 0.0331309i
\(701\) 5989.84i 0.322729i −0.986895 0.161365i \(-0.948411\pi\)
0.986895 0.161365i \(-0.0515895\pi\)
\(702\) −8015.38 11636.4i −0.430941 0.625624i
\(703\) 1301.52i 0.0698259i
\(704\) −20306.2 11723.8i −1.08710 0.627639i
\(705\) 7388.50 + 36251.1i 0.394705 + 1.93659i
\(706\) 13948.2 8052.98i 0.743550 0.429289i
\(707\) −7766.45 + 7243.94i −0.413136 + 0.385342i
\(708\) −1505.38 503.112i −0.0799094 0.0267064i
\(709\) −2214.14 + 3835.00i −0.117283 + 0.203140i −0.918690 0.394979i \(-0.870752\pi\)
0.801407 + 0.598119i \(0.204085\pi\)
\(710\) 36761.8 1.94316
\(711\) 1263.55 10350.3i 0.0666480 0.545945i
\(712\) 12563.2i 0.661271i
\(713\) −5273.02 + 9133.15i −0.276965 + 0.479718i
\(714\) 7278.82 10214.4i 0.381517 0.535387i
\(715\) 14087.3 + 24400.0i 0.736835 + 1.27624i
\(716\) −120.814 + 69.7521i −0.00630592 + 0.00364073i
\(717\) −6267.78 7079.48i −0.326464 0.368742i
\(718\) 5707.36 9885.44i 0.296653 0.513818i
\(719\) −28053.6 −1.45511 −0.727554 0.686050i \(-0.759343\pi\)
−0.727554 + 0.686050i \(0.759343\pi\)
\(720\) 27424.2 11663.4i 1.41950 0.603708i
\(721\) −29589.0 + 6834.61i −1.52836 + 0.353030i
\(722\) 15081.5 + 8707.30i 0.777389 + 0.448826i
\(723\) 4485.40 13421.0i 0.230725 0.690361i
\(724\) 1867.73 1078.34i 0.0958753 0.0553536i
\(725\) 15089.6 8711.98i 0.772984 0.446282i
\(726\) 23592.7 4808.53i 1.20607 0.245814i
\(727\) −13620.1 7863.54i −0.694828 0.401159i 0.110590 0.993866i \(-0.464726\pi\)
−0.805418 + 0.592707i \(0.798059\pi\)
\(728\) 2956.60 + 12800.0i 0.150521 + 0.651646i
\(729\) −7015.38 + 18390.4i −0.356418 + 0.934327i
\(730\) 6835.18 0.346550
\(731\) −11056.4 + 19150.3i −0.559420 + 0.968945i
\(732\) 1708.51 348.219i 0.0862682 0.0175827i
\(733\) 28543.9 16479.8i 1.43833 0.830418i 0.440593 0.897707i \(-0.354768\pi\)
0.997734 + 0.0672892i \(0.0214350\pi\)
\(734\) −18805.0 32571.3i −0.945649 1.63791i
\(735\) −27568.8 + 3645.50i −1.38353 + 0.182947i
\(736\) 3216.60 5571.32i 0.161094 0.279024i
\(737\) 31042.6i 1.55152i
\(738\) −11350.6 26688.7i −0.566153 1.33120i
\(739\) 18483.4 0.920056 0.460028 0.887905i \(-0.347839\pi\)
0.460028 + 0.887905i \(0.347839\pi\)
\(740\) 301.285 521.841i 0.0149668 0.0259233i
\(741\) −4222.57 + 3738.43i −0.209339 + 0.185337i
\(742\) 8650.60 8068.61i 0.427997 0.399202i
\(743\) 27952.9 16138.6i 1.38020 0.796861i 0.388020 0.921651i \(-0.373159\pi\)
0.992183 + 0.124790i \(0.0398257\pi\)
\(744\) 5792.09 5128.00i 0.285415 0.252691i
\(745\) −20658.8 11927.3i −1.01594 0.586555i
\(746\) 13998.0i 0.687004i
\(747\) 647.194 5301.47i 0.0316996 0.259666i
\(748\) 2236.31i 0.109315i
\(749\) 2043.86 6687.83i 0.0997077 0.326259i
\(750\) −503.626 + 1506.92i −0.0245198 + 0.0733667i
\(751\) 12875.3 + 22300.7i 0.625601 + 1.08357i 0.988424 + 0.151715i \(0.0484796\pi\)
−0.362823 + 0.931858i \(0.618187\pi\)
\(752\) −16140.1 27955.5i −0.782672 1.35563i
\(753\) 4373.62 + 21458.8i 0.211665 + 1.03852i
\(754\) 12830.0 + 7407.41i 0.619683 + 0.357774i
\(755\) 11657.6 0.561939
\(756\) −1677.81 + 1835.26i −0.0807159 + 0.0882905i
\(757\) 14678.2 0.704741 0.352371 0.935861i \(-0.385376\pi\)
0.352371 + 0.935861i \(0.385376\pi\)
\(758\) −12575.0 7260.16i −0.602564 0.347890i
\(759\) −8314.18 40792.8i −0.397609 1.95084i
\(760\) −5303.68 9186.25i −0.253138 0.438448i
\(761\) 15248.7 + 26411.6i 0.726369 + 1.25811i 0.958408 + 0.285401i \(0.0921268\pi\)
−0.232039 + 0.972706i \(0.574540\pi\)
\(762\) 6685.71 20004.6i 0.317845 0.951037i
\(763\) −20652.9 6311.71i −0.979927 0.299475i
\(764\) 3537.77i 0.167529i
\(765\) 14659.6 + 11030.8i 0.692837 + 0.521334i
\(766\) 14701.8i 0.693470i
\(767\) 9302.19 + 5370.62i 0.437917 + 0.252832i
\(768\) −5640.29 + 4993.60i −0.265008 + 0.234624i
\(769\) −30619.6 + 17678.2i −1.43585 + 0.828989i −0.997558 0.0698425i \(-0.977750\pi\)
−0.438294 + 0.898832i \(0.644417\pi\)
\(770\) 33936.0 31652.8i 1.58827 1.48141i
\(771\) −10807.7 + 9568.56i −0.504838 + 0.446956i
\(772\) −2100.39 + 3637.98i −0.0979205 + 0.169603i
\(773\) −4097.47 −0.190654 −0.0953272 0.995446i \(-0.530390\pi\)
−0.0953272 +