Properties

Label 63.4.o.a.20.18
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 20.18
Character \(\chi\) \(=\) 63.20
Dual form 63.4.o.a.41.18

$q$-expansion

\(f(q)\) \(=\) \(q+(2.59186 + 1.49641i) q^{2} +(1.03772 + 5.09148i) q^{3} +(0.478502 + 0.828790i) q^{4} +(7.80147 + 13.5125i) q^{5} +(-4.92933 + 14.7493i) q^{6} +(-13.5435 - 12.6323i) q^{7} -21.0785i q^{8} +(-24.8463 + 10.5670i) q^{9} +O(q^{10})\) \(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} +(-13.5435 - 12.6323i) 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} +(-16.1997 - 53.0078i) 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} +(50.2627 - 82.0650i) 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} +(253.077 - 137.487i) 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} +(23.8504 + 342.170i) 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} +(-266.269 + 285.475i) 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} +(469.990 + 170.751i) 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} +(589.889 - 632.437i) 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} +(-290.447 - 950.387i) 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} +(92.0655 + 2.38900i) 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 \(0.0791642\pi\)
−0.271448 + 0.962453i \(0.587502\pi\)
\(6\) −4.92933 + 14.7493i −0.335398 + 1.00356i
\(7\) −13.5435 12.6323i −0.731278 0.682080i
\(8\) 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 −0.155791 0.987790i \(-0.549793\pi\)
0.777555 + 0.628814i \(0.216459\pi\)
\(14\) −16.1997 53.0078i −0.309253 1.01192i
\(15\) −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 \(-0.600547\pi\)
−0.310651 + 0.950524i \(0.600547\pi\)
\(18\) −80.2108 9.79199i −1.05033 0.128222i
\(19\) 32.2524i 0.389432i −0.980860 0.194716i \(-0.937621\pi\)
0.980860 0.194716i \(-0.0623785\pi\)
\(20\) −7.46605 + 12.9316i −0.0834729 + 0.144579i
\(21\) 50.2627 82.0650i 0.522297 0.852764i
\(22\) 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 −0.312228 0.950007i \(-0.601075\pi\)
0.666617 + 0.745401i \(0.267742\pi\)
\(32\) 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 \(-0.927096\pi\)
0.290324 0.956928i \(-0.406237\pi\)
\(42\) 253.077 137.487i 0.929778 0.505113i
\(43\) −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 \(0.417113\pi\)
−0.965562 + 0.260174i \(0.916220\pi\)
\(48\) 348.622 + 116.513i 1.04832 + 0.350357i
\(49\) 23.8504 + 342.170i 0.0695348 + 0.997580i
\(50\) −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
\(56\) −266.269 + 285.475i −0.635388 + 0.681218i
\(57\) 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 0.986627 0.162993i \(-0.0521149\pi\)
−0.634470 + 0.772947i \(0.718782\pi\)
\(60\) −73.5884 24.5939i −0.158337 0.0529176i
\(61\) −303.662 175.319i −0.637375 0.367989i 0.146227 0.989251i \(-0.453287\pi\)
−0.783603 + 0.621262i \(0.786620\pi\)
\(62\) 211.385 0.432998
\(63\) 469.990 + 170.751i 0.939892 + 0.341471i
\(64\) −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
\(70\) 589.889 632.437i 1.00722 1.07987i
\(71\) 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 \(-0.962563\pi\)
0.993092 0.117340i \(-0.0374368\pi\)
\(74\) 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
\(77\) −290.447 950.387i −0.429864 1.40658i
\(78\) 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 −0.793187 0.608978i \(-0.791580\pi\)
0.923984 + 0.382431i \(0.124913\pi\)
\(84\) 92.0655 + 2.38900i 0.119585 + 0.00310311i
\(85\) −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 \(-0.384504\pi\)
0.354932 + 0.934892i \(0.384504\pi\)
\(90\) −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 0.131654 0.991296i \(-0.457971\pi\)
−0.792660 + 0.609664i \(0.791304\pi\)
\(98\) −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 −0.689518 0.724268i \(-0.742178\pi\)
0.971994 + 0.235006i \(0.0755111\pi\)
\(102\) 214.666 642.313i 0.208384 0.623514i
\(103\) 1420.04 819.860i 1.35845 0.784303i 0.369038 0.929414i \(-0.379687\pi\)
0.989415 + 0.145111i \(0.0463539\pi\)
\(104\) −354.665 614.298i −0.334402 0.579201i
\(105\) 1501.03 + 38.9501i 1.39510 + 0.0362013i
\(106\) 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
\(112\) −1252.92 + 382.905i −1.05705 + 0.323045i
\(113\) −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
\(119\) 589.802 + 550.121i 0.454345 + 0.423778i
\(120\) 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
\(126\) 962.636 + 1145.86i 0.680623 + 0.810172i
\(127\) 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 \(0.0597992\pi\)
−0.329462 + 0.944169i \(0.606867\pi\)
\(132\) −261.457 + 53.2888i −0.172401 + 0.0351378i
\(133\) −407.422 + 436.809i −0.265624 + 0.284783i
\(134\) 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 −0.703881 0.710318i \(-0.748551\pi\)
0.263213 + 0.964738i \(0.415218\pi\)
\(140\) 264.471 80.8249i 0.159657 0.0487925i
\(141\) −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
\(147\) −1717.40 + 476.510i −0.963597 + 0.267360i
\(148\) 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 −0.771614 0.636091i \(-0.780550\pi\)
0.165064 + 0.986283i \(0.447217\pi\)
\(158\) −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 0.604559 0.796560i \(-0.293349\pi\)
−0.992121 + 0.125283i \(0.960016\pi\)
\(168\) −1729.80 1059.46i −0.794388 0.486543i
\(169\) −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 −0.736090 0.676883i \(-0.763330\pi\)
0.954243 + 0.299031i \(0.0966635\pi\)
\(174\) 1712.74 1516.36i 0.746219 0.660662i
\(175\) 2097.97 641.160i 0.906240 0.276955i
\(176\) 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 \(0.153128\pi\)
−0.886502 + 0.462724i \(0.846872\pi\)
\(182\) −1364.02 1272.25i −0.555538 0.518163i
\(183\) 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
\(189\) −381.659 + 2570.14i −0.146887 + 0.989153i
\(190\) 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
\(196\) −272.174 + 183.496i −0.0991890 + 0.0668717i
\(197\) 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 \(0.210146\pi\)
−0.789873 + 0.613271i \(0.789854\pi\)
\(200\) 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
\(203\) 796.213 + 2605.33i 0.275287 + 0.900780i
\(204\) 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
\(210\) 3832.18 + 2347.11i 1.25926 + 0.771268i
\(211\) −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 0.101952 0.994789i \(-0.467491\pi\)
−0.810537 + 0.585688i \(0.800824\pi\)
\(224\) −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 \(-0.522667\pi\)
0.899405 0.437116i \(-0.144000\pi\)
\(228\) 106.315 + 120.083i 0.0308810 + 0.0348801i
\(229\) −366.827 + 211.787i −0.105854 + 0.0611149i −0.551992 0.833849i \(-0.686132\pi\)
0.446138 + 0.894964i \(0.352799\pi\)
\(230\) 3486.22 + 6038.32i 0.999456 + 1.73111i
\(231\) 4537.47 2465.04i 1.29240 0.702111i
\(232\) −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
\(238\) 705.476 + 2308.43i 0.192140 + 0.628710i
\(239\) 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 0.150521 0.988607i \(-0.451905\pi\)
−0.780898 + 0.624659i \(0.785238\pi\)
\(242\) 4633.75i 1.23086i
\(243\) 3198.30 + 2029.73i 0.844325 + 0.535831i
\(244\) 335.562i 0.0880417i
\(245\) −4437.52 + 2991.71i −1.15715 + 0.780136i
\(246\) 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 \(-0.322217\pi\)
0.529934 + 0.848039i \(0.322217\pi\)
\(252\) 83.3745 + 471.228i 0.0208417 + 0.117796i
\(253\) 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 0.983892 0.178764i \(-0.0572099\pi\)
−0.646760 + 0.762693i \(0.723877\pi\)
\(258\) −5234.40 5912.26i −1.26310 1.42667i
\(259\) −546.533 509.764i −0.131119 0.122298i
\(260\) 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
\(266\) −1709.63 + 522.478i −0.394075 + 0.120433i
\(267\) 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 \(-0.663567\pi\)
−0.491544 + 0.870853i \(0.663567\pi\)
\(270\) 5395.30 3716.38i 1.21610 0.837674i
\(271\) 8399.64i 1.88281i 0.337276 + 0.941406i \(0.390495\pi\)
−0.337276 + 0.941406i \(0.609505\pi\)
\(272\) −1540.33 + 2667.92i −0.343368 + 0.594730i
\(273\) 84.0062 3237.37i 0.0186238 0.717710i
\(274\) −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 −0.629767 0.776784i \(-0.716850\pi\)
0.357831 + 0.933786i \(0.383516\pi\)
\(284\) −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 0.879630 0.475659i \(-0.157790\pi\)
−0.851748 + 0.523952i \(0.824457\pi\)
\(294\) −5164.32 1334.89i −1.02445 0.264804i
\(295\) −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
\(301\) 8993.45 2748.48i 1.72217 0.526311i
\(302\) −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 \(-0.524038\pi\)
0.0754451 0.997150i \(-0.475962\pi\)
\(308\) 648.692 695.482i 0.120009 0.128665i
\(309\) 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 \(0.169779\pi\)
0.00977881 + 0.999952i \(0.496887\pi\)
\(312\) 2759.64 2443.24i 0.500750 0.443337i
\(313\) −3195.36 1844.84i −0.577037 0.333153i 0.182918 0.983128i \(-0.441446\pi\)
−0.759955 + 0.649976i \(0.774779\pi\)
\(314\) −4123.51 −0.741093
\(315\) 1359.33 + 7682.88i 0.243142 + 1.37423i
\(316\) −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
\(322\) −6052.13 5644.96i −1.04743 0.976961i
\(323\) 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
\(329\) 8082.18 2469.99i 1.35436 0.413905i
\(330\) −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
\(336\) −3249.73 5981.88i −0.527641 0.971245i
\(337\) −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 0.791573 0.611075i \(-0.209262\pi\)
−0.133420 + 0.991060i \(0.542596\pi\)
\(350\) 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 −0.994404 0.105648i \(-0.966308\pi\)
0.588696 + 0.808354i \(0.299641\pi\)
\(354\) −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
\(357\) −2188.88 + 3573.83i −0.324504 + 0.529824i
\(358\) −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
\(364\) −174.321 570.403i −0.0251013 0.0821353i
\(365\) 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 \(0.0185692\pi\)
0.549642 + 0.835400i \(0.314764\pi\)
\(368\) 10562.4i 1.49621i
\(369\) 7743.26 + 5826.52i 1.09241 + 0.821996i
\(370\) 1884.41i 0.264772i
\(371\) −2695.99 + 2890.45i −0.377274 + 0.404486i
\(372\) −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
\(378\) −4835.19 + 6090.32i −0.657925 + 0.828710i
\(379\) −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 0.654364 0.756180i \(-0.272936\pi\)
−0.982053 + 0.188606i \(0.939603\pi\)
\(384\) 2721.70 8143.72i 0.361696 1.08225i
\(385\) 10576.2 11339.1i 1.40004 1.50102i
\(386\) 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
\(392\) 7212.41 502.731i 0.929290 0.0647748i
\(393\) −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 \(-0.973649\pi\)
0.996575 0.0826889i \(-0.0263508\pi\)
\(398\) −5152.44 + 8924.29i −0.648916 + 1.12396i
\(399\) −2646.79 1621.09i −0.332094 0.203399i
\(400\) 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 −0.503714 0.863870i \(-0.668034\pi\)
0.496276 + 0.868165i \(0.334700\pi\)
\(410\) 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 0.952591 0.304255i \(-0.0984076\pi\)
−0.739788 + 0.672840i \(0.765074\pi\)
\(420\) 685.965 + 1262.68i 0.0796944 + 0.146696i
\(421\) −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
\(427\) 1897.95 + 6210.37i 0.215101 + 0.703843i
\(428\) 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 \(-0.875289\pi\)
0.924227 0.381845i \(-0.124711\pi\)
\(434\) −2862.88 2670.27i −0.316642 0.295339i
\(435\) 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 0.235332 0.971915i \(-0.424382\pi\)
−0.724037 + 0.689761i \(0.757715\pi\)
\(440\) 17647.7 1.91209
\(441\) −4208.31 8249.62i −0.454413 0.890791i
\(442\) −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
\(448\) 5918.14 + 5519.99i 0.624121 + 0.582132i
\(449\) 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
\(455\) −2842.11 9299.82i −0.292836 0.958203i
\(456\) −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 −0.958845 0.283929i \(-0.908362\pi\)
0.725313 + 0.688420i \(0.241695\pi\)
\(462\) 15449.2 + 400.890i 1.55576 + 0.0403703i
\(463\) 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 \(-0.317964\pi\)
0.541216 + 0.840884i \(0.317964\pi\)
\(468\) −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 −0.998835 0.0482479i \(-0.984636\pi\)
0.541202 + 0.840893i \(0.317970\pi\)
\(480\) −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
\(483\) 372.734 14364.2i 0.0351138 1.35319i
\(484\) −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
\(490\) −15978.3 + 1113.74i −1.47311 + 0.102681i
\(491\) 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
\(497\) 9944.68 10662.0i 0.897545 0.962285i
\(498\) 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 \(-0.682889\pi\)
−0.543467 + 0.839430i \(0.682889\pi\)
\(504\) 3599.17 9906.67i 0.318095 0.875552i
\(505\) 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 \(0.239213\pi\)
0.225945 + 0.974140i \(0.427453\pi\)
\(510\) 10354.0 2110.30i 0.898986 0.183227i
\(511\) −1849.03 + 1982.40i −0.160071 + 0.171617i
\(512\) 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
\(518\) −653.722 2139.08i −0.0554496 0.181440i
\(519\) 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 \(-0.363791\pi\)
0.414974 + 0.909833i \(0.363791\pi\)
\(522\) 9497.87 + 7146.80i 0.796380 + 0.599247i
\(523\) 4243.21i 0.354766i 0.984142 + 0.177383i \(0.0567632\pi\)
−0.984142 + 0.177383i \(0.943237\pi\)
\(524\) −936.906 + 1622.77i −0.0781087 + 0.135288i
\(525\) 5441.56 + 10016.4i 0.452360 + 0.832673i
\(526\) −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
\(546\) 5062.18 8265.12i 0.396779 0.647829i
\(547\) 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
\(553\) 6840.06 2090.39i 0.525984 0.160745i
\(554\) 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
\(560\) −14948.7 13943.0i −1.12803 1.05214i
\(561\) 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 0.883729 0.467999i \(-0.155025\pi\)
−0.847164 + 0.531332i \(0.821692\pi\)
\(564\) −453.173 2223.45i −0.0338333 0.166001i
\(565\) −4354.30 2513.96i −0.324224 0.187191i
\(566\) −4474.02 −0.332256
\(567\) −13481.8 + 723.870i −0.998562 + 0.0536149i
\(568\) 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
\(574\) −13569.0 + 14547.7i −0.986688 + 1.05786i
\(575\) 17686.4i 1.28274i
\(576\) 10857.2 4617.52i 0.785387 0.334022i
\(577\) 19299.1i 1.39243i −0.717832 0.696216i \(-0.754866\pi\)
0.717832 0.696216i \(-0.245134\pi\)
\(578\) −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
\(581\) −3503.51 + 1070.70i −0.250172 + 0.0764549i
\(582\) 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 −0.652658 0.757652i \(-0.726346\pi\)
0.982475 + 0.186392i \(0.0596796\pi\)
\(588\) −1216.71 1195.35i −0.0853335 0.0838359i
\(589\) −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 \(-0.235159\pi\)
0.739294 + 0.673383i \(0.235159\pi\)
\(594\) 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 −0.0594502 0.998231i \(-0.518935\pi\)
−0.894219 + 0.447630i \(0.852268\pi\)
\(602\) 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 −0.139762 0.990185i \(-0.544634\pi\)
0.787645 + 0.616130i \(0.211300\pi\)
\(608\) −694.803 1203.43i −0.0463454 0.0802726i
\(609\) −12438.7 + 6757.50i −0.827657 + 0.449635i
\(610\) 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
\(616\) −20032.7 + 6122.18i −1.31029 + 0.400438i
\(617\) 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 −0.0744291 0.997226i \(-0.523713\pi\)
−0.900838 + 0.434156i \(0.857047\pi\)
\(620\) 1054.66i 0.0683165i
\(621\) −18916.8 8998.61i −1.22239 0.581485i
\(622\) 28589.5i 1.84298i
\(623\) −8072.17 7529.09i −0.519108 0.484184i
\(624\) 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
\(630\) −7973.56 + 21947.1i −0.504245 + 1.38793i
\(631\) −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
\(637\) 6452.42 + 9570.69i 0.401341 + 0.595298i
\(638\) 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 \(-0.237038\pi\)
0.954589 0.297927i \(-0.0962951\pi\)
\(644\) −773.457 2530.87i −0.0473268 0.154861i
\(645\) −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 \(-0.643467\pi\)
−0.435609 + 0.900136i \(0.643467\pi\)
\(648\) −11068.4 10658.9i −0.670997 0.646172i
\(649\) 17127.2i 1.03591i
\(650\) −5964.90 + 10331.5i −0.359943 + 0.623439i
\(651\) 176.317 6794.78i 0.0106151 0.409076i
\(652\) 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 −0.638630 0.769514i \(-0.720499\pi\)
0.347103 + 0.937827i \(0.387165\pi\)
\(662\) −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
\(672\) 107.555 4144.89i 0.00617415 0.237935i
\(673\) 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 −0.921905 0.387416i \(-0.873368\pi\)
0.796465 + 0.604685i \(0.206701\pi\)
\(678\) −1000.79 4910.28i −0.0566888 0.278139i
\(679\) 3946.91 + 12914.9i 0.223076 + 0.729938i
\(680\) −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
\(686\) 17751.3 6807.29i 0.987970 0.378868i
\(687\) −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 0.500582 0.865689i \(-0.333119\pi\)
−0.499417 + 0.866361i \(0.666453\pi\)
\(692\) 950.111 0.0521933
\(693\) 17259.3 + 20544.4i 0.946070 + 1.12614i
\(694\) 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
\(700\) 1535.27 + 1431.98i 0.0828970 + 0.0773199i
\(701\) 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
\(707\) −10156.7 + 3103.97i −0.540284 + 0.165116i
\(708\) −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
\(714\) −11021.2 + 5987.41i −0.577673 + 0.313828i
\(715\) 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 \(-0.240657\pi\)
0.727554 + 0.686050i \(0.240657\pi\)
\(720\) −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 0.805418 0.592707i \(-0.201941\pi\)
−0.110590 + 0.993866i \(0.535274\pi\)
\(728\) −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 −0.997734 0.0672892i \(-0.978565\pi\)
−0.440593 + 0.897707i \(0.645232\pi\)
\(734\) 18805.0 + 32571.3i 0.945649 + 1.63791i
\(735\) −19837.1 19489.0i −0.995514 0.978043i
\(736\) 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
\(742\) −11312.9 + 3457.33i −0.559718 + 0.171055i
\(743\) 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
\(749\) −4769.90 + 5113.95i −0.232695 + 0.249479i
\(750\) −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
\(756\) −2312.73 + 913.501i −0.111261 + 0.0439467i
\(757\) 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 \(-0.907873\pi\)
0.232039 0.972706i \(-0.425460\pi\)
\(762\) −6685.71 + 20004.6i −0.317845 + 0.951037i
\(763\) 15792.5 + 14730.1i 0.749316 + 0.698905i
\(764\) 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 0.438294 0.898832i \(-0.355583\pi\)
0.997558 + 0.0698425i \(0.0222497\pi\)
\(770\) 44380.1 13563.0i 2.07708 0.634774i
\(771\) −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 \(-0.469610\pi\)