Properties

Label 63.4.h.a.25.8
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.8
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.8

$q$-expansion

\(f(q)\) \(=\) \(q-2.37882 q^{2} +(3.09078 - 4.17697i) q^{3} -2.34120 q^{4} +(-9.23374 + 15.9933i) q^{5} +(-7.35242 + 9.93628i) q^{6} +(15.8733 + 9.54133i) q^{7} +24.5999 q^{8} +(-7.89419 - 25.8202i) q^{9} +O(q^{10})\) \(q-2.37882 q^{2} +(3.09078 - 4.17697i) q^{3} -2.34120 q^{4} +(-9.23374 + 15.9933i) q^{5} +(-7.35242 + 9.93628i) q^{6} +(15.8733 + 9.54133i) q^{7} +24.5999 q^{8} +(-7.89419 - 25.8202i) q^{9} +(21.9654 - 38.0453i) q^{10} +(28.3801 + 49.1557i) q^{11} +(-7.23612 + 9.77911i) q^{12} +(3.61910 + 6.26847i) q^{13} +(-37.7599 - 22.6971i) q^{14} +(38.2642 + 88.0008i) q^{15} -39.7892 q^{16} +(-42.2739 + 73.2205i) q^{17} +(18.7789 + 61.4217i) q^{18} +(-1.77532 - 3.07495i) q^{19} +(21.6180 - 37.4435i) q^{20} +(88.9148 - 36.8124i) q^{21} +(-67.5111 - 116.933i) q^{22} +(-45.3428 + 78.5361i) q^{23} +(76.0328 - 102.753i) q^{24} +(-108.024 - 187.103i) q^{25} +(-8.60920 - 14.9116i) q^{26} +(-132.249 - 46.8306i) q^{27} +(-37.1626 - 22.3381i) q^{28} +(25.6893 - 44.4952i) q^{29} +(-91.0237 - 209.338i) q^{30} +156.464 q^{31} -102.148 q^{32} +(293.038 + 33.3866i) q^{33} +(100.562 - 174.179i) q^{34} +(-299.168 + 165.765i) q^{35} +(18.4819 + 60.4501i) q^{36} +(28.9522 + 50.1467i) q^{37} +(4.22318 + 7.31477i) q^{38} +(37.3690 + 4.25755i) q^{39} +(-227.149 + 393.434i) q^{40} +(-79.8397 - 138.286i) q^{41} +(-211.513 + 87.5702i) q^{42} +(-20.6544 + 35.7745i) q^{43} +(-66.4433 - 115.083i) q^{44} +(485.843 + 112.163i) q^{45} +(107.863 - 186.824i) q^{46} +144.985 q^{47} +(-122.980 + 166.198i) q^{48} +(160.926 + 302.906i) q^{49} +(256.970 + 445.085i) q^{50} +(175.181 + 402.885i) q^{51} +(-8.47303 - 14.6757i) q^{52} +(369.025 - 639.170i) q^{53} +(314.598 + 111.402i) q^{54} -1048.22 q^{55} +(390.482 + 234.716i) q^{56} +(-18.3311 - 2.08851i) q^{57} +(-61.1103 + 105.846i) q^{58} -225.365 q^{59} +(-89.5839 - 206.027i) q^{60} -267.702 q^{61} -372.200 q^{62} +(121.052 - 485.174i) q^{63} +561.305 q^{64} -133.671 q^{65} +(-697.087 - 79.4209i) q^{66} +894.563 q^{67} +(98.9714 - 171.424i) q^{68} +(187.898 + 432.133i) q^{69} +(711.667 - 394.326i) q^{70} -52.1765 q^{71} +(-194.196 - 635.174i) q^{72} +(-289.349 + 501.166i) q^{73} +(-68.8722 - 119.290i) q^{74} +(-1115.40 - 127.081i) q^{75} +(4.15638 + 7.19907i) q^{76} +(-18.5245 + 1051.05i) q^{77} +(-88.8944 - 10.1280i) q^{78} +495.771 q^{79} +(367.403 - 636.361i) q^{80} +(-604.364 + 407.659i) q^{81} +(189.925 + 328.959i) q^{82} +(380.372 - 658.824i) q^{83} +(-208.167 + 86.1850i) q^{84} +(-780.691 - 1352.20i) q^{85} +(49.1332 - 85.1012i) q^{86} +(-106.455 - 244.828i) q^{87} +(698.146 + 1209.22i) q^{88} +(364.691 + 631.664i) q^{89} +(-1155.73 - 266.815i) q^{90} +(-2.36229 + 134.033i) q^{91} +(106.157 - 183.869i) q^{92} +(483.595 - 653.546i) q^{93} -344.894 q^{94} +65.5715 q^{95} +(-315.715 + 426.667i) q^{96} +(-565.743 + 979.895i) q^{97} +(-382.815 - 720.559i) q^{98} +(1045.17 - 1120.82i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.37882 −0.841041 −0.420521 0.907283i \(-0.638153\pi\)
−0.420521 + 0.907283i \(0.638153\pi\)
\(3\) 3.09078 4.17697i 0.594820 0.803859i
\(4\) −2.34120 −0.292650
\(5\) −9.23374 + 15.9933i −0.825891 + 1.43048i 0.0753458 + 0.997157i \(0.475994\pi\)
−0.901237 + 0.433327i \(0.857339\pi\)
\(6\) −7.35242 + 9.93628i −0.500268 + 0.676078i
\(7\) 15.8733 + 9.54133i 0.857080 + 0.515183i
\(8\) 24.5999 1.08717
\(9\) −7.89419 25.8202i −0.292377 0.956303i
\(10\) 21.9654 38.0453i 0.694608 1.20310i
\(11\) 28.3801 + 49.1557i 0.777901 + 1.34736i 0.933150 + 0.359488i \(0.117049\pi\)
−0.155249 + 0.987875i \(0.549618\pi\)
\(12\) −7.23612 + 9.77911i −0.174074 + 0.235249i
\(13\) 3.61910 + 6.26847i 0.0772121 + 0.133735i 0.902046 0.431640i \(-0.142065\pi\)
−0.824834 + 0.565375i \(0.808731\pi\)
\(14\) −37.7599 22.6971i −0.720840 0.433291i
\(15\) 38.2642 + 88.0008i 0.658651 + 1.51478i
\(16\) −39.7892 −0.621707
\(17\) −42.2739 + 73.2205i −0.603113 + 1.04462i 0.389234 + 0.921139i \(0.372740\pi\)
−0.992347 + 0.123483i \(0.960594\pi\)
\(18\) 18.7789 + 61.4217i 0.245901 + 0.804290i
\(19\) −1.77532 3.07495i −0.0214362 0.0371286i 0.855108 0.518449i \(-0.173491\pi\)
−0.876544 + 0.481321i \(0.840157\pi\)
\(20\) 21.6180 37.4435i 0.241697 0.418631i
\(21\) 88.9148 36.8124i 0.923943 0.382529i
\(22\) −67.5111 116.933i −0.654247 1.13319i
\(23\) −45.3428 + 78.5361i −0.411071 + 0.711996i −0.995007 0.0998036i \(-0.968179\pi\)
0.583936 + 0.811800i \(0.301512\pi\)
\(24\) 76.0328 102.753i 0.646672 0.873932i
\(25\) −108.024 187.103i −0.864191 1.49682i
\(26\) −8.60920 14.9116i −0.0649386 0.112477i
\(27\) −132.249 46.8306i −0.942644 0.333798i
\(28\) −37.1626 22.3381i −0.250824 0.150768i
\(29\) 25.6893 44.4952i 0.164496 0.284915i −0.771980 0.635647i \(-0.780734\pi\)
0.936476 + 0.350731i \(0.114067\pi\)
\(30\) −91.0237 209.338i −0.553953 1.27399i
\(31\) 156.464 0.906508 0.453254 0.891381i \(-0.350263\pi\)
0.453254 + 0.891381i \(0.350263\pi\)
\(32\) −102.148 −0.564291
\(33\) 293.038 + 33.3866i 1.54580 + 0.176117i
\(34\) 100.562 174.179i 0.507243 0.878570i
\(35\) −299.168 + 165.765i −1.44482 + 0.800555i
\(36\) 18.4819 + 60.4501i 0.0855641 + 0.279862i
\(37\) 28.9522 + 50.1467i 0.128641 + 0.222813i 0.923150 0.384439i \(-0.125605\pi\)
−0.794509 + 0.607252i \(0.792272\pi\)
\(38\) 4.22318 + 7.31477i 0.0180287 + 0.0312266i
\(39\) 37.3690 + 4.25755i 0.153432 + 0.0174809i
\(40\) −227.149 + 393.434i −0.897885 + 1.55518i
\(41\) −79.8397 138.286i −0.304119 0.526749i 0.672946 0.739692i \(-0.265029\pi\)
−0.977065 + 0.212943i \(0.931695\pi\)
\(42\) −211.513 + 87.5702i −0.777074 + 0.321723i
\(43\) −20.6544 + 35.7745i −0.0732505 + 0.126874i −0.900324 0.435220i \(-0.856671\pi\)
0.827074 + 0.562094i \(0.190004\pi\)
\(44\) −66.4433 115.083i −0.227652 0.394305i
\(45\) 485.843 + 112.163i 1.60945 + 0.371560i
\(46\) 107.863 186.824i 0.345728 0.598818i
\(47\) 144.985 0.449962 0.224981 0.974363i \(-0.427768\pi\)
0.224981 + 0.974363i \(0.427768\pi\)
\(48\) −122.980 + 166.198i −0.369804 + 0.499764i
\(49\) 160.926 + 302.906i 0.469172 + 0.883107i
\(50\) 256.970 + 445.085i 0.726820 + 1.25889i
\(51\) 175.181 + 402.885i 0.480984 + 1.10618i
\(52\) −8.47303 14.6757i −0.0225961 0.0391376i
\(53\) 369.025 639.170i 0.956406 1.65654i 0.225287 0.974292i \(-0.427668\pi\)
0.731118 0.682251i \(-0.238999\pi\)
\(54\) 314.598 + 111.402i 0.792803 + 0.280738i
\(55\) −1048.22 −2.56984
\(56\) 390.482 + 234.716i 0.931793 + 0.560093i
\(57\) −18.3311 2.08851i −0.0425968 0.00485316i
\(58\) −61.1103 + 105.846i −0.138348 + 0.239626i
\(59\) −225.365 −0.497288 −0.248644 0.968595i \(-0.579985\pi\)
−0.248644 + 0.968595i \(0.579985\pi\)
\(60\) −89.5839 206.027i −0.192754 0.443300i
\(61\) −267.702 −0.561898 −0.280949 0.959723i \(-0.590649\pi\)
−0.280949 + 0.959723i \(0.590649\pi\)
\(62\) −372.200 −0.762411
\(63\) 121.052 485.174i 0.242081 0.970256i
\(64\) 561.305 1.09630
\(65\) −133.671 −0.255075
\(66\) −697.087 79.4209i −1.30008 0.148122i
\(67\) 894.563 1.63117 0.815584 0.578638i \(-0.196416\pi\)
0.815584 + 0.578638i \(0.196416\pi\)
\(68\) 98.9714 171.424i 0.176501 0.305708i
\(69\) 187.898 + 432.133i 0.327831 + 0.753953i
\(70\) 711.667 394.326i 1.21515 0.673299i
\(71\) −52.1765 −0.0872143 −0.0436072 0.999049i \(-0.513885\pi\)
−0.0436072 + 0.999049i \(0.513885\pi\)
\(72\) −194.196 635.174i −0.317864 1.03967i
\(73\) −289.349 + 501.166i −0.463914 + 0.803522i −0.999152 0.0411793i \(-0.986889\pi\)
0.535238 + 0.844701i \(0.320222\pi\)
\(74\) −68.8722 119.290i −0.108192 0.187395i
\(75\) −1115.40 127.081i −1.71727 0.195653i
\(76\) 4.15638 + 7.19907i 0.00627329 + 0.0108657i
\(77\) −18.5245 + 1051.05i −0.0274163 + 1.55556i
\(78\) −88.8944 10.1280i −0.129042 0.0147021i
\(79\) 495.771 0.706059 0.353029 0.935612i \(-0.385152\pi\)
0.353029 + 0.935612i \(0.385152\pi\)
\(80\) 367.403 636.361i 0.513462 0.889342i
\(81\) −604.364 + 407.659i −0.829031 + 0.559203i
\(82\) 189.925 + 328.959i 0.255776 + 0.443018i
\(83\) 380.372 658.824i 0.503027 0.871268i −0.496967 0.867770i \(-0.665553\pi\)
0.999994 0.00349891i \(-0.00111374\pi\)
\(84\) −208.167 + 86.1850i −0.270392 + 0.111947i
\(85\) −780.691 1352.20i −0.996210 1.72549i
\(86\) 49.1332 85.1012i 0.0616067 0.106706i
\(87\) −106.455 244.828i −0.131186 0.301705i
\(88\) 698.146 + 1209.22i 0.845712 + 1.46482i
\(89\) 364.691 + 631.664i 0.434350 + 0.752317i 0.997242 0.0742135i \(-0.0236446\pi\)
−0.562892 + 0.826530i \(0.690311\pi\)
\(90\) −1155.73 266.815i −1.35361 0.312498i
\(91\) −2.36229 + 134.033i −0.00272126 + 0.154400i
\(92\) 106.157 183.869i 0.120300 0.208365i
\(93\) 483.595 653.546i 0.539210 0.728705i
\(94\) −344.894 −0.378437
\(95\) 65.5715 0.0708158
\(96\) −315.715 + 426.667i −0.335652 + 0.453610i
\(97\) −565.743 + 979.895i −0.592190 + 1.02570i 0.401746 + 0.915751i \(0.368403\pi\)
−0.993937 + 0.109953i \(0.964930\pi\)
\(98\) −382.815 720.559i −0.394593 0.742729i
\(99\) 1045.17 1120.82i 1.06105 1.13785i
\(100\) 252.905 + 438.045i 0.252905 + 0.438045i
\(101\) 17.7254 + 30.7014i 0.0174629 + 0.0302465i 0.874625 0.484800i \(-0.161108\pi\)
−0.857162 + 0.515047i \(0.827774\pi\)
\(102\) −416.724 958.392i −0.404528 0.930343i
\(103\) 676.025 1170.91i 0.646706 1.12013i −0.337199 0.941434i \(-0.609479\pi\)
0.983905 0.178694i \(-0.0571873\pi\)
\(104\) 89.0295 + 154.204i 0.0839428 + 0.145393i
\(105\) −232.265 + 1761.96i −0.215874 + 1.63761i
\(106\) −877.846 + 1520.47i −0.804377 + 1.39322i
\(107\) −951.091 1647.34i −0.859303 1.48836i −0.872595 0.488445i \(-0.837564\pi\)
0.0132915 0.999912i \(-0.495769\pi\)
\(108\) 309.622 + 109.640i 0.275865 + 0.0976860i
\(109\) 863.768 1496.09i 0.759027 1.31467i −0.184320 0.982866i \(-0.559008\pi\)
0.943347 0.331807i \(-0.107658\pi\)
\(110\) 2493.52 2.16134
\(111\) 298.946 + 34.0597i 0.255628 + 0.0291244i
\(112\) −631.588 379.642i −0.532852 0.320293i
\(113\) −310.437 537.693i −0.258438 0.447627i 0.707386 0.706828i \(-0.249874\pi\)
−0.965824 + 0.259200i \(0.916541\pi\)
\(114\) 43.6065 + 4.96820i 0.0358257 + 0.00408171i
\(115\) −837.368 1450.36i −0.679000 1.17606i
\(116\) −60.1437 + 104.172i −0.0481397 + 0.0833804i
\(117\) 133.283 142.930i 0.105316 0.112939i
\(118\) 536.103 0.418240
\(119\) −1369.65 + 758.905i −1.05509 + 0.584611i
\(120\) 941.294 + 2164.81i 0.716067 + 1.64683i
\(121\) −945.355 + 1637.40i −0.710259 + 1.23020i
\(122\) 636.816 0.472579
\(123\) −824.385 93.9244i −0.604328 0.0688527i
\(124\) −366.313 −0.265289
\(125\) 1681.42 1.20313
\(126\) −287.961 + 1154.14i −0.203600 + 0.816025i
\(127\) 919.292 0.642315 0.321157 0.947026i \(-0.395928\pi\)
0.321157 + 0.947026i \(0.395928\pi\)
\(128\) −518.065 −0.357741
\(129\) 85.5909 + 196.844i 0.0584175 + 0.134350i
\(130\) 317.981 0.214529
\(131\) −1189.12 + 2059.62i −0.793084 + 1.37366i 0.130965 + 0.991387i \(0.458192\pi\)
−0.924049 + 0.382275i \(0.875141\pi\)
\(132\) −686.061 78.1647i −0.452378 0.0515406i
\(133\) 1.15880 65.7487i 0.000755497 0.0428657i
\(134\) −2128.01 −1.37188
\(135\) 1970.13 1682.68i 1.25602 1.07276i
\(136\) −1039.93 + 1801.21i −0.655687 + 1.13568i
\(137\) −54.4707 94.3461i −0.0339690 0.0588360i 0.848541 0.529129i \(-0.177481\pi\)
−0.882510 + 0.470293i \(0.844148\pi\)
\(138\) −446.977 1027.97i −0.275719 0.634105i
\(139\) 824.646 + 1428.33i 0.503205 + 0.871577i 0.999993 + 0.00370514i \(0.00117939\pi\)
−0.496788 + 0.867872i \(0.665487\pi\)
\(140\) 700.411 388.089i 0.422825 0.234282i
\(141\) 448.116 605.598i 0.267647 0.361706i
\(142\) 124.119 0.0733508
\(143\) −205.421 + 355.799i −0.120127 + 0.208066i
\(144\) 314.104 + 1027.36i 0.181773 + 0.594540i
\(145\) 474.417 + 821.714i 0.271711 + 0.470618i
\(146\) 688.309 1192.19i 0.390170 0.675795i
\(147\) 1762.61 + 264.031i 0.988966 + 0.148142i
\(148\) −67.7828 117.403i −0.0376467 0.0652060i
\(149\) −148.971 + 258.024i −0.0819070 + 0.141867i −0.904069 0.427386i \(-0.859434\pi\)
0.822162 + 0.569254i \(0.192768\pi\)
\(150\) 2653.34 + 302.302i 1.44430 + 0.164553i
\(151\) −21.5127 37.2611i −0.0115939 0.0200812i 0.860170 0.510007i \(-0.170357\pi\)
−0.871764 + 0.489926i \(0.837024\pi\)
\(152\) −43.6728 75.6435i −0.0233048 0.0403651i
\(153\) 2224.28 + 513.502i 1.17531 + 0.271335i
\(154\) 44.0664 2500.26i 0.0230583 1.30829i
\(155\) −1444.75 + 2502.38i −0.748677 + 1.29675i
\(156\) −87.4883 9.96777i −0.0449017 0.00511577i
\(157\) −375.029 −0.190641 −0.0953204 0.995447i \(-0.530388\pi\)
−0.0953204 + 0.995447i \(0.530388\pi\)
\(158\) −1179.35 −0.593824
\(159\) −1529.22 3516.94i −0.762737 1.75416i
\(160\) 943.204 1633.68i 0.466043 0.807209i
\(161\) −1469.08 + 813.999i −0.719129 + 0.398461i
\(162\) 1437.67 969.748i 0.697249 0.470313i
\(163\) −1262.20 2186.19i −0.606520 1.05052i −0.991809 0.127728i \(-0.959232\pi\)
0.385289 0.922796i \(-0.374102\pi\)
\(164\) 186.921 + 323.756i 0.0890002 + 0.154153i
\(165\) −3239.80 + 4378.37i −1.52860 + 2.06579i
\(166\) −904.838 + 1567.23i −0.423067 + 0.732773i
\(167\) −461.894 800.024i −0.214027 0.370705i 0.738944 0.673766i \(-0.235325\pi\)
−0.952971 + 0.303062i \(0.901991\pi\)
\(168\) 2187.30 905.580i 1.00448 0.415875i
\(169\) 1072.30 1857.29i 0.488077 0.845373i
\(170\) 1857.13 + 3216.64i 0.837854 + 1.45121i
\(171\) −65.3811 + 70.1135i −0.0292387 + 0.0313550i
\(172\) 48.3561 83.7552i 0.0214367 0.0371295i
\(173\) 1444.73 0.634917 0.317459 0.948272i \(-0.397171\pi\)
0.317459 + 0.948272i \(0.397171\pi\)
\(174\) 253.238 + 582.403i 0.110333 + 0.253746i
\(175\) 70.5102 4000.64i 0.0304576 1.72811i
\(176\) −1129.22 1955.87i −0.483626 0.837665i
\(177\) −696.552 + 941.342i −0.295797 + 0.399749i
\(178\) −867.536 1502.62i −0.365307 0.632730i
\(179\) −428.434 + 742.069i −0.178897 + 0.309859i −0.941503 0.337004i \(-0.890586\pi\)
0.762606 + 0.646864i \(0.223920\pi\)
\(180\) −1137.45 262.595i −0.471005 0.108737i
\(181\) −736.592 −0.302488 −0.151244 0.988496i \(-0.548328\pi\)
−0.151244 + 0.988496i \(0.548328\pi\)
\(182\) 5.61947 318.840i 0.00228870 0.129857i
\(183\) −827.408 + 1118.18i −0.334228 + 0.451686i
\(184\) −1115.43 + 1931.98i −0.446905 + 0.774062i
\(185\) −1069.35 −0.424973
\(186\) −1150.39 + 1554.67i −0.453498 + 0.612871i
\(187\) −4798.94 −1.87665
\(188\) −339.438 −0.131681
\(189\) −1652.41 2005.19i −0.635954 0.771727i
\(190\) −155.983 −0.0595590
\(191\) 850.768 0.322301 0.161150 0.986930i \(-0.448480\pi\)
0.161150 + 0.986930i \(0.448480\pi\)
\(192\) 1734.87 2344.55i 0.652101 0.881269i
\(193\) 2533.68 0.944965 0.472483 0.881340i \(-0.343358\pi\)
0.472483 + 0.881340i \(0.343358\pi\)
\(194\) 1345.80 2331.00i 0.498056 0.862659i
\(195\) −413.148 + 558.341i −0.151724 + 0.205044i
\(196\) −376.759 709.162i −0.137303 0.258441i
\(197\) 3796.35 1.37299 0.686495 0.727135i \(-0.259148\pi\)
0.686495 + 0.727135i \(0.259148\pi\)
\(198\) −2486.28 + 2666.24i −0.892385 + 0.956977i
\(199\) 243.238 421.300i 0.0866466 0.150076i −0.819445 0.573158i \(-0.805718\pi\)
0.906092 + 0.423081i \(0.139052\pi\)
\(200\) −2657.38 4602.71i −0.939524 1.62730i
\(201\) 2764.90 3736.56i 0.970252 1.31123i
\(202\) −42.1657 73.0332i −0.0146870 0.0254386i
\(203\) 832.318 461.177i 0.287770 0.159450i
\(204\) −410.133 943.233i −0.140760 0.323723i
\(205\) 2948.88 1.00468
\(206\) −1608.14 + 2785.39i −0.543906 + 0.942074i
\(207\) 2385.76 + 550.782i 0.801072 + 0.184937i
\(208\) −144.001 249.417i −0.0480033 0.0831441i
\(209\) 100.768 174.535i 0.0333504 0.0577647i
\(210\) 552.517 4191.39i 0.181559 1.37730i
\(211\) −2300.69 3984.91i −0.750644 1.30015i −0.947511 0.319723i \(-0.896410\pi\)
0.196867 0.980430i \(-0.436923\pi\)
\(212\) −863.961 + 1496.42i −0.279892 + 0.484787i
\(213\) −161.266 + 217.940i −0.0518768 + 0.0701080i
\(214\) 2262.48 + 3918.73i 0.722709 + 1.25177i
\(215\) −381.435 660.665i −0.120994 0.209567i
\(216\) −3253.32 1152.03i −1.02482 0.362896i
\(217\) 2483.61 + 1492.87i 0.776950 + 0.467018i
\(218\) −2054.75 + 3558.93i −0.638373 + 1.10569i
\(219\) 1199.05 + 2757.59i 0.369973 + 0.850872i
\(220\) 2454.08 0.752064
\(221\) −611.973 −0.186270
\(222\) −711.140 81.0221i −0.214994 0.0244948i
\(223\) 837.038 1449.79i 0.251355 0.435360i −0.712544 0.701628i \(-0.752457\pi\)
0.963899 + 0.266267i \(0.0857904\pi\)
\(224\) −1621.42 974.624i −0.483642 0.290713i
\(225\) −3978.27 + 4266.22i −1.17875 + 1.26407i
\(226\) 738.475 + 1279.08i 0.217357 + 0.376473i
\(227\) 1666.62 + 2886.67i 0.487301 + 0.844031i 0.999893 0.0146015i \(-0.00464798\pi\)
−0.512592 + 0.858632i \(0.671315\pi\)
\(228\) 42.9168 + 4.88962i 0.0124659 + 0.00142028i
\(229\) −1223.10 + 2118.48i −0.352947 + 0.611322i −0.986764 0.162161i \(-0.948154\pi\)
0.633817 + 0.773483i \(0.281487\pi\)
\(230\) 1991.95 + 3450.16i 0.571067 + 0.989117i
\(231\) 4332.95 + 3325.93i 1.23414 + 0.947318i
\(232\) 631.954 1094.58i 0.178835 0.309752i
\(233\) 2022.79 + 3503.57i 0.568743 + 0.985092i 0.996691 + 0.0812883i \(0.0259035\pi\)
−0.427948 + 0.903804i \(0.640763\pi\)
\(234\) −317.057 + 340.006i −0.0885755 + 0.0949867i
\(235\) −1338.75 + 2318.79i −0.371620 + 0.643664i
\(236\) 527.623 0.145531
\(237\) 1532.32 2070.82i 0.419978 0.567571i
\(238\) 3258.15 1805.30i 0.887372 0.491682i
\(239\) 1137.41 + 1970.05i 0.307837 + 0.533189i 0.977889 0.209125i \(-0.0670615\pi\)
−0.670052 + 0.742314i \(0.733728\pi\)
\(240\) −1522.50 3501.48i −0.409488 0.941749i
\(241\) 2967.42 + 5139.73i 0.793147 + 1.37377i 0.924009 + 0.382371i \(0.124892\pi\)
−0.130862 + 0.991401i \(0.541774\pi\)
\(242\) 2248.83 3895.09i 0.597357 1.03465i
\(243\) −165.174 + 3784.39i −0.0436046 + 0.999049i
\(244\) 626.744 0.164439
\(245\) −6330.41 223.213i −1.65076 0.0582063i
\(246\) 1961.07 + 223.430i 0.508265 + 0.0579079i
\(247\) 12.8502 22.2571i 0.00331027 0.00573355i
\(248\) 3849.00 0.985530
\(249\) −1576.24 3625.08i −0.401166 0.922611i
\(250\) −3999.81 −1.01188
\(251\) 3230.82 0.812461 0.406230 0.913771i \(-0.366843\pi\)
0.406230 + 0.913771i \(0.366843\pi\)
\(252\) −283.406 + 1135.89i −0.0708448 + 0.283945i
\(253\) −5147.33 −1.27909
\(254\) −2186.83 −0.540213
\(255\) −8061.03 918.415i −1.97961 0.225543i
\(256\) −3258.05 −0.795423
\(257\) 3080.15 5334.98i 0.747606 1.29489i −0.201361 0.979517i \(-0.564536\pi\)
0.948967 0.315375i \(-0.102130\pi\)
\(258\) −203.606 468.257i −0.0491315 0.112994i
\(259\) −18.8979 + 1072.24i −0.00453382 + 0.257242i
\(260\) 312.951 0.0746477
\(261\) −1351.67 312.049i −0.320560 0.0740052i
\(262\) 2828.71 4899.47i 0.667016 1.15531i
\(263\) −1901.28 3293.11i −0.445772 0.772099i 0.552334 0.833623i \(-0.313737\pi\)
−0.998106 + 0.0615239i \(0.980404\pi\)
\(264\) 7208.71 + 821.307i 1.68055 + 0.191470i
\(265\) 6814.96 + 11803.9i 1.57977 + 2.73625i
\(266\) −2.75659 + 156.405i −0.000635404 + 0.0360518i
\(267\) 3765.62 + 429.027i 0.863117 + 0.0983372i
\(268\) −2094.35 −0.477361
\(269\) −813.103 + 1408.34i −0.184297 + 0.319211i −0.943339 0.331830i \(-0.892334\pi\)
0.759043 + 0.651041i \(0.225667\pi\)
\(270\) −4686.60 + 4002.81i −1.05636 + 0.902233i
\(271\) 2850.19 + 4936.68i 0.638881 + 1.10657i 0.985679 + 0.168635i \(0.0539358\pi\)
−0.346797 + 0.937940i \(0.612731\pi\)
\(272\) 1682.04 2913.38i 0.374959 0.649448i
\(273\) 552.549 + 424.132i 0.122497 + 0.0940280i
\(274\) 129.576 + 224.433i 0.0285693 + 0.0494835i
\(275\) 6131.45 10620.0i 1.34451 2.32876i
\(276\) −439.907 1011.71i −0.0959395 0.220644i
\(277\) 861.829 + 1492.73i 0.186940 + 0.323789i 0.944228 0.329291i \(-0.106810\pi\)
−0.757289 + 0.653080i \(0.773476\pi\)
\(278\) −1961.69 3397.74i −0.423216 0.733032i
\(279\) −1235.16 4039.93i −0.265043 0.866897i
\(280\) −7359.49 + 4077.80i −1.57076 + 0.870340i
\(281\) −916.636 + 1587.66i −0.194598 + 0.337053i −0.946769 0.321915i \(-0.895673\pi\)
0.752171 + 0.658968i \(0.229007\pi\)
\(282\) −1065.99 + 1440.61i −0.225102 + 0.304210i
\(283\) −7725.10 −1.62265 −0.811325 0.584596i \(-0.801253\pi\)
−0.811325 + 0.584596i \(0.801253\pi\)
\(284\) 122.156 0.0255232
\(285\) 202.667 273.890i 0.0421227 0.0569259i
\(286\) 488.659 846.383i 0.101032 0.174992i
\(287\) 52.1136 2956.85i 0.0107184 0.608143i
\(288\) 806.372 + 2637.47i 0.164986 + 0.539633i
\(289\) −1117.66 1935.84i −0.227490 0.394024i
\(290\) −1128.55 1954.71i −0.228521 0.395809i
\(291\) 2344.41 + 5391.73i 0.472274 + 1.08615i
\(292\) 677.422 1173.33i 0.135764 0.235150i
\(293\) −3275.02 5672.50i −0.652999 1.13103i −0.982391 0.186835i \(-0.940177\pi\)
0.329392 0.944193i \(-0.393156\pi\)
\(294\) −4192.95 628.082i −0.831761 0.124594i
\(295\) 2080.96 3604.33i 0.410706 0.711363i
\(296\) 712.221 + 1233.60i 0.139855 + 0.242236i
\(297\) −1451.25 7829.86i −0.283536 1.52975i
\(298\) 354.375 613.795i 0.0688871 0.119316i
\(299\) −656.401 −0.126959
\(300\) 2611.37 + 297.521i 0.502559 + 0.0572579i
\(301\) −669.191 + 370.790i −0.128145 + 0.0710033i
\(302\) 51.1750 + 88.6377i 0.00975096 + 0.0168892i
\(303\) 183.024 + 20.8524i 0.0347012 + 0.00395360i
\(304\) 70.6388 + 122.350i 0.0133270 + 0.0230831i
\(305\) 2471.89 4281.44i 0.464066 0.803786i
\(306\) −5291.18 1221.53i −0.988485 0.228204i
\(307\) −1813.95 −0.337223 −0.168611 0.985683i \(-0.553928\pi\)
−0.168611 + 0.985683i \(0.553928\pi\)
\(308\) 43.3694 2460.71i 0.00802338 0.455234i
\(309\) −2801.41 6442.76i −0.515750 1.18614i
\(310\) 3436.80 5952.71i 0.629668 1.09062i
\(311\) −1646.26 −0.300163 −0.150081 0.988674i \(-0.547954\pi\)
−0.150081 + 0.988674i \(0.547954\pi\)
\(312\) 919.274 + 104.735i 0.166807 + 0.0190047i
\(313\) 3827.56 0.691204 0.345602 0.938381i \(-0.387675\pi\)
0.345602 + 0.938381i \(0.387675\pi\)
\(314\) 892.129 0.160337
\(315\) 6641.77 + 6415.98i 1.18800 + 1.14762i
\(316\) −1160.70 −0.206628
\(317\) 5272.11 0.934105 0.467053 0.884230i \(-0.345316\pi\)
0.467053 + 0.884230i \(0.345316\pi\)
\(318\) 3637.75 + 8366.18i 0.641493 + 1.47532i
\(319\) 2916.26 0.511846
\(320\) −5182.94 + 8977.12i −0.905423 + 1.56824i
\(321\) −9820.49 1118.87i −1.70756 0.194547i
\(322\) 3494.69 1936.36i 0.604818 0.335122i
\(323\) 300.199 0.0517137
\(324\) 1414.93 954.410i 0.242616 0.163650i
\(325\) 781.899 1354.29i 0.133452 0.231146i
\(326\) 3002.54 + 5200.55i 0.510109 + 0.883534i
\(327\) −3579.41 8232.02i −0.605327 1.39215i
\(328\) −1964.05 3401.83i −0.330629 0.572667i
\(329\) 2301.40 + 1383.35i 0.385654 + 0.231813i
\(330\) 7706.92 10415.4i 1.28561 1.73742i
\(331\) −3323.12 −0.551829 −0.275915 0.961182i \(-0.588981\pi\)
−0.275915 + 0.961182i \(0.588981\pi\)
\(332\) −890.526 + 1542.44i −0.147211 + 0.254976i
\(333\) 1066.24 1143.42i 0.175465 0.188165i
\(334\) 1098.76 + 1903.12i 0.180005 + 0.311778i
\(335\) −8260.16 + 14307.0i −1.34717 + 2.33336i
\(336\) −3537.85 + 1464.74i −0.574422 + 0.237821i
\(337\) 2973.78 + 5150.74i 0.480689 + 0.832577i 0.999755 0.0221571i \(-0.00705339\pi\)
−0.519066 + 0.854734i \(0.673720\pi\)
\(338\) −2550.82 + 4418.15i −0.410493 + 0.710994i
\(339\) −3205.42 365.202i −0.513553 0.0585104i
\(340\) 1827.75 + 3165.76i 0.291541 + 0.504963i
\(341\) 4440.46 + 7691.09i 0.705173 + 1.22140i
\(342\) 155.530 166.788i 0.0245909 0.0263709i
\(343\) −335.689 + 6343.57i −0.0528441 + 0.998603i
\(344\) −508.096 + 880.049i −0.0796358 + 0.137933i
\(345\) −8646.25 985.090i −1.34927 0.153726i
\(346\) −3436.75 −0.533991
\(347\) −3313.45 −0.512609 −0.256305 0.966596i \(-0.582505\pi\)
−0.256305 + 0.966596i \(0.582505\pi\)
\(348\) 249.233 + 573.191i 0.0383916 + 0.0882939i
\(349\) 510.814 884.757i 0.0783475 0.135702i −0.824190 0.566314i \(-0.808369\pi\)
0.902537 + 0.430612i \(0.141702\pi\)
\(350\) −167.731 + 9516.82i −0.0256161 + 1.45342i
\(351\) −185.067 998.485i −0.0281429 0.151838i
\(352\) −2898.95 5021.13i −0.438962 0.760305i
\(353\) −5688.31 9852.44i −0.857672 1.48553i −0.874144 0.485666i \(-0.838577\pi\)
0.0164727 0.999864i \(-0.494756\pi\)
\(354\) 1656.98 2239.29i 0.248778 0.336206i
\(355\) 481.785 834.475i 0.0720295 0.124759i
\(356\) −853.814 1478.85i −0.127112 0.220165i
\(357\) −1063.35 + 8066.59i −0.157643 + 1.19588i
\(358\) 1019.17 1765.25i 0.150460 0.260605i
\(359\) −2248.79 3895.03i −0.330604 0.572623i 0.652026 0.758196i \(-0.273919\pi\)
−0.982630 + 0.185573i \(0.940586\pi\)
\(360\) 11951.7 + 2759.19i 1.74975 + 0.403950i
\(361\) 3423.20 5929.15i 0.499081 0.864434i
\(362\) 1752.22 0.254405
\(363\) 3917.50 + 9009.57i 0.566434 + 1.30270i
\(364\) 5.53058 313.797i 0.000796377 0.0451852i
\(365\) −5343.54 9255.28i −0.766284 1.32724i
\(366\) 1968.26 2659.96i 0.281100 0.379887i
\(367\) −840.767 1456.25i −0.119585 0.207127i 0.800018 0.599976i \(-0.204823\pi\)
−0.919603 + 0.392848i \(0.871490\pi\)
\(368\) 1804.16 3124.89i 0.255566 0.442653i
\(369\) −2940.31 + 3153.14i −0.414814 + 0.444839i
\(370\) 2543.79 0.357420
\(371\) 11956.2 6624.78i 1.67314 0.927066i
\(372\) −1132.19 + 1530.08i −0.157800 + 0.213255i
\(373\) 3059.49 5299.19i 0.424703 0.735607i −0.571690 0.820470i \(-0.693712\pi\)
0.996393 + 0.0848628i \(0.0270452\pi\)
\(374\) 11415.8 1.57834
\(375\) 5196.91 7023.26i 0.715645 0.967145i
\(376\) 3566.61 0.489186
\(377\) 371.889 0.0508044
\(378\) 3930.80 + 4770.00i 0.534864 + 0.649054i
\(379\) 8160.77 1.10604 0.553022 0.833167i \(-0.313475\pi\)
0.553022 + 0.833167i \(0.313475\pi\)
\(380\) −153.516 −0.0207242
\(381\) 2841.33 3839.86i 0.382062 0.516330i
\(382\) −2023.83 −0.271068
\(383\) −4886.09 + 8462.96i −0.651874 + 1.12908i 0.330794 + 0.943703i \(0.392684\pi\)
−0.982668 + 0.185376i \(0.940650\pi\)
\(384\) −1601.22 + 2163.94i −0.212792 + 0.287573i
\(385\) −16638.7 10001.4i −2.20256 1.32394i
\(386\) −6027.18 −0.794755
\(387\) 1086.75 + 250.890i 0.142746 + 0.0329547i
\(388\) 1324.52 2294.13i 0.173304 0.300172i
\(389\) 954.673 + 1653.54i 0.124432 + 0.215522i 0.921511 0.388353i \(-0.126956\pi\)
−0.797079 + 0.603875i \(0.793623\pi\)
\(390\) 982.807 1328.20i 0.127606 0.172451i
\(391\) −3833.63 6640.05i −0.495844 0.858828i
\(392\) 3958.76 + 7451.44i 0.510071 + 0.960089i
\(393\) 4927.66 + 11332.7i 0.632487 + 1.45461i
\(394\) −9030.85 −1.15474
\(395\) −4577.82 + 7929.02i −0.583127 + 1.01001i
\(396\) −2446.95 + 2624.07i −0.310515 + 0.332991i
\(397\) −3487.45 6040.44i −0.440882 0.763630i 0.556873 0.830598i \(-0.312001\pi\)
−0.997755 + 0.0669676i \(0.978668\pi\)
\(398\) −578.620 + 1002.20i −0.0728734 + 0.126220i
\(399\) −271.049 208.055i −0.0340086 0.0261047i
\(400\) 4298.19 + 7444.68i 0.537273 + 0.930585i
\(401\) 1154.35 1999.40i 0.143755 0.248990i −0.785153 0.619302i \(-0.787416\pi\)
0.928908 + 0.370312i \(0.120749\pi\)
\(402\) −6577.20 + 8888.63i −0.816022 + 1.10280i
\(403\) 566.259 + 980.789i 0.0699934 + 0.121232i
\(404\) −41.4988 71.8780i −0.00511050 0.00885164i
\(405\) −939.276 13430.0i −0.115242 1.64776i
\(406\) −1979.94 + 1097.06i −0.242026 + 0.134104i
\(407\) −1643.33 + 2846.33i −0.200140 + 0.346652i
\(408\) 4309.43 + 9910.92i 0.522913 + 1.20261i
\(409\) 531.344 0.0642379 0.0321189 0.999484i \(-0.489774\pi\)
0.0321189 + 0.999484i \(0.489774\pi\)
\(410\) −7014.86 −0.844974
\(411\) −562.438 64.0800i −0.0675013 0.00769059i
\(412\) −1582.71 + 2741.33i −0.189258 + 0.327805i
\(413\) −3577.29 2150.28i −0.426216 0.256195i
\(414\) −5675.31 1310.21i −0.673735 0.155540i
\(415\) 7024.51 + 12166.8i 0.830891 + 1.43915i
\(416\) −369.682 640.308i −0.0435701 0.0754656i
\(417\) 8514.88 + 970.123i 0.999942 + 0.113926i
\(418\) −239.708 + 415.187i −0.0280491 + 0.0485825i
\(419\) 207.720 + 359.781i 0.0242190 + 0.0419486i 0.877881 0.478879i \(-0.158957\pi\)
−0.853662 + 0.520828i \(0.825623\pi\)
\(420\) 543.778 4125.09i 0.0631754 0.479247i
\(421\) −7457.87 + 12917.4i −0.863359 + 1.49538i 0.00530833 + 0.999986i \(0.498310\pi\)
−0.868667 + 0.495396i \(0.835023\pi\)
\(422\) 5472.93 + 9479.39i 0.631322 + 1.09348i
\(423\) −1144.54 3743.54i −0.131559 0.430300i
\(424\) 9077.98 15723.5i 1.03978 1.80095i
\(425\) 18266.3 2.08482
\(426\) 383.624 518.441i 0.0436306 0.0589637i
\(427\) −4249.33 2554.24i −0.481591 0.289480i
\(428\) 2226.69 + 3856.74i 0.251475 + 0.435567i
\(429\) 851.252 + 1957.73i 0.0958015 + 0.220327i
\(430\) 907.367 + 1571.61i 0.101761 + 0.176255i
\(431\) −391.018 + 677.262i −0.0436999 + 0.0756904i −0.887048 0.461677i \(-0.847248\pi\)
0.843348 + 0.537368i \(0.180581\pi\)
\(432\) 5262.10 + 1863.35i 0.586048 + 0.207525i
\(433\) −6724.21 −0.746293 −0.373146 0.927772i \(-0.621721\pi\)
−0.373146 + 0.927772i \(0.621721\pi\)
\(434\) −5908.06 3551.29i −0.653447 0.392781i
\(435\) 4898.59 + 558.109i 0.539930 + 0.0615156i
\(436\) −2022.25 + 3502.64i −0.222129 + 0.384739i
\(437\) 321.993 0.0352472
\(438\) −2852.32 6559.83i −0.311162 0.715619i
\(439\) 7877.01 0.856376 0.428188 0.903690i \(-0.359152\pi\)
0.428188 + 0.903690i \(0.359152\pi\)
\(440\) −25786.0 −2.79386
\(441\) 6550.70 6546.33i 0.707342 0.706871i
\(442\) 1455.78 0.156661
\(443\) −13165.4 −1.41198 −0.705988 0.708224i \(-0.749497\pi\)
−0.705988 + 0.708224i \(0.749497\pi\)
\(444\) −699.892 79.7405i −0.0748095 0.00852324i
\(445\) −13469.9 −1.43490
\(446\) −1991.17 + 3448.80i −0.211400 + 0.366156i
\(447\) 617.326 + 1419.74i 0.0653211 + 0.150227i
\(448\) 8909.78 + 5355.59i 0.939615 + 0.564795i
\(449\) 11712.5 1.23106 0.615532 0.788112i \(-0.288941\pi\)
0.615532 + 0.788112i \(0.288941\pi\)
\(450\) 9463.60 10148.6i 0.991374 1.06313i
\(451\) 4531.71 7849.15i 0.473148 0.819517i
\(452\) 726.794 + 1258.84i 0.0756317 + 0.130998i
\(453\) −222.130 25.3078i −0.0230388 0.00262487i
\(454\) −3964.59 6866.88i −0.409841 0.709865i
\(455\) −2121.81 1275.40i −0.218620 0.131411i
\(456\) −450.944 51.3772i −0.0463100 0.00527622i
\(457\) 6333.61 0.648301 0.324151 0.946005i \(-0.394922\pi\)
0.324151 + 0.946005i \(0.394922\pi\)
\(458\) 2909.54 5039.48i 0.296843 0.514147i
\(459\) 9019.65 7703.65i 0.917214 0.783389i
\(460\) 1960.44 + 3395.59i 0.198709 + 0.344174i
\(461\) 4751.16 8229.25i 0.480008 0.831398i −0.519729 0.854331i \(-0.673967\pi\)
0.999737 + 0.0229330i \(0.00730044\pi\)
\(462\) −10307.3 7911.81i −1.03796 0.796733i
\(463\) −5944.17 10295.6i −0.596650 1.03343i −0.993312 0.115463i \(-0.963165\pi\)
0.396662 0.917965i \(-0.370168\pi\)
\(464\) −1022.16 + 1770.43i −0.102268 + 0.177134i
\(465\) 5986.96 + 13769.0i 0.597072 + 1.37316i
\(466\) −4811.85 8334.37i −0.478336 0.828503i
\(467\) −8478.22 14684.7i −0.840097 1.45509i −0.889812 0.456327i \(-0.849165\pi\)
0.0497153 0.998763i \(-0.484169\pi\)
\(468\) −312.042 + 334.628i −0.0308208 + 0.0330517i
\(469\) 14199.7 + 8535.32i 1.39804 + 0.840351i
\(470\) 3184.66 5515.99i 0.312548 0.541348i
\(471\) −1159.13 + 1566.49i −0.113397 + 0.153248i
\(472\) −5543.95 −0.540637
\(473\) −2344.69 −0.227926
\(474\) −3645.12 + 4926.12i −0.353219 + 0.477351i
\(475\) −383.555 + 664.337i −0.0370499 + 0.0641723i
\(476\) 3206.62 1776.75i 0.308771 0.171086i
\(477\) −19416.6 4482.57i −1.86379 0.430278i
\(478\) −2705.70 4686.41i −0.258904 0.448434i
\(479\) 7070.26 + 12246.0i 0.674422 + 1.16813i 0.976637 + 0.214894i \(0.0689405\pi\)
−0.302215 + 0.953240i \(0.597726\pi\)
\(480\) −3908.59 8989.07i −0.371671 0.854777i
\(481\) −209.562 + 362.972i −0.0198653 + 0.0344077i
\(482\) −7058.98 12226.5i −0.667070 1.15540i
\(483\) −1140.55 + 8652.20i −0.107447 + 0.815091i
\(484\) 2213.26 3833.48i 0.207857 0.360019i
\(485\) −10447.8 18096.2i −0.978169 1.69424i
\(486\) 392.920 9002.40i 0.0366733 0.840241i
\(487\) −5967.13 + 10335.4i −0.555228 + 0.961684i 0.442657 + 0.896691i \(0.354036\pi\)
−0.997886 + 0.0649930i \(0.979297\pi\)
\(488\) −6585.44 −0.610879
\(489\) −13032.8 1484.86i −1.20524 0.137317i
\(490\) 15058.9 + 530.984i 1.38835 + 0.0489539i
\(491\) −2495.13 4321.69i −0.229335 0.397220i 0.728276 0.685284i \(-0.240322\pi\)
−0.957611 + 0.288064i \(0.906988\pi\)
\(492\) 1930.05 + 219.895i 0.176856 + 0.0201497i
\(493\) 2171.97 + 3761.97i 0.198419 + 0.343672i
\(494\) −30.5683 + 52.9458i −0.00278407 + 0.00482215i
\(495\) 8274.82 + 27065.1i 0.751364 + 2.45755i
\(496\) −6225.58 −0.563582
\(497\) −828.216 497.834i −0.0747496 0.0449314i
\(498\) 3749.60 + 8623.43i 0.337397 + 0.775954i
\(499\) −6190.60 + 10722.4i −0.555369 + 0.961928i 0.442505 + 0.896766i \(0.354090\pi\)
−0.997875 + 0.0651622i \(0.979244\pi\)
\(500\) −3936.54 −0.352095
\(501\) −4769.29 543.378i −0.425302 0.0484557i
\(502\) −7685.55 −0.683313
\(503\) 18819.2 1.66821 0.834104 0.551607i \(-0.185985\pi\)
0.834104 + 0.551607i \(0.185985\pi\)
\(504\) 2977.86 11935.2i 0.263183 1.05483i
\(505\) −654.689 −0.0576896
\(506\) 12244.6 1.07577
\(507\) −4443.58 10219.4i −0.389243 0.895190i
\(508\) −2152.24 −0.187973
\(509\) −4152.51 + 7192.35i −0.361604 + 0.626317i −0.988225 0.153007i \(-0.951104\pi\)
0.626621 + 0.779324i \(0.284438\pi\)
\(510\) 19175.8 + 2184.75i 1.66494 + 0.189691i
\(511\) −9374.72 + 5194.42i −0.811572 + 0.449682i
\(512\) 11894.9 1.02673
\(513\) 90.7836 + 489.800i 0.00781324 + 0.0421544i
\(514\) −7327.15 + 12691.0i −0.628768 + 1.08906i
\(515\) 12484.5 + 21623.7i 1.06822 + 1.85021i
\(516\) −200.385 460.851i −0.0170959 0.0393175i
\(517\) 4114.68 + 7126.84i 0.350026 + 0.606263i
\(518\) 44.9548 2550.67i 0.00381313 0.216351i
\(519\) 4465.33 6034.59i 0.377662 0.510384i
\(520\) −3288.30 −0.277310
\(521\) 7573.20 13117.2i 0.636829 1.10302i −0.349295 0.937013i \(-0.613579\pi\)
0.986124 0.166008i \(-0.0530878\pi\)
\(522\) 3215.38 + 742.310i 0.269605 + 0.0622414i
\(523\) −9473.40 16408.4i −0.792052 1.37187i −0.924695 0.380710i \(-0.875680\pi\)
0.132643 0.991164i \(-0.457654\pi\)
\(524\) 2783.97 4821.97i 0.232096 0.402002i
\(525\) −16492.6 12659.6i −1.37104 1.05240i
\(526\) 4522.81 + 7833.73i 0.374912 + 0.649367i
\(527\) −6614.33 + 11456.4i −0.546727 + 0.946958i
\(528\) −11659.8 1328.43i −0.961035 0.109493i
\(529\) 1971.55 + 3414.83i 0.162041 + 0.280663i
\(530\) −16211.6 28079.3i −1.32865 2.30130i
\(531\) 1779.07 + 5818.96i 0.145396 + 0.475558i
\(532\) −2.71299 + 153.931i −0.000221096 + 0.0125446i
\(533\) 577.896 1000.94i 0.0469633 0.0813429i
\(534\) −8957.75 1020.58i −0.725917 0.0827056i
\(535\) 35128.5 2.83876
\(536\) 22006.2 1.77336
\(537\) 1775.41 + 4083.13i 0.142671 + 0.328119i
\(538\) 1934.23 3350.18i 0.155001 0.268470i
\(539\) −10322.4 + 16506.9i −0.824897 + 1.31911i
\(540\) −4612.47 + 3939.49i −0.367572 + 0.313942i
\(541\) −2422.04 4195.09i −0.192480 0.333385i 0.753592 0.657343i \(-0.228320\pi\)
−0.946071 + 0.323958i \(0.894986\pi\)
\(542\) −6780.10 11743.5i −0.537326 0.930675i
\(543\) −2276.64 + 3076.72i −0.179926 + 0.243158i
\(544\) 4318.17 7479.29i 0.340331 0.589470i
\(545\) 15951.6 + 27629.0i 1.25375 + 2.17155i
\(546\) −1314.42 1008.94i −0.103025 0.0790814i
\(547\) 5052.08 8750.45i 0.394902 0.683990i −0.598187 0.801357i \(-0.704112\pi\)
0.993089 + 0.117367i \(0.0374453\pi\)
\(548\) 127.527 + 220.883i 0.00994101 + 0.0172183i
\(549\) 2113.29 + 6912.12i 0.164286 + 0.537344i
\(550\) −14585.6 + 25263.1i −1.13079 + 1.95858i
\(551\) −182.427 −0.0141047
\(552\) 4622.28 + 10630.4i 0.356408 + 0.819676i
\(553\) 7869.55 + 4730.32i 0.605149 + 0.363750i
\(554\) −2050.14 3550.95i −0.157224 0.272320i
\(555\) −3305.12 + 4466.64i −0.252783 + 0.341618i
\(556\) −1930.66 3344.00i −0.147263 0.255067i
\(557\) −9231.60 + 15989.6i −0.702254 + 1.21634i 0.265420 + 0.964133i \(0.414490\pi\)
−0.967673 + 0.252206i \(0.918844\pi\)
\(558\) 2938.22 + 9610.28i 0.222912 + 0.729096i
\(559\) −299.002 −0.0226233
\(560\) 11903.7 6595.66i 0.898252 0.497710i
\(561\) −14832.4 + 20045.0i −1.11627 + 1.50856i
\(562\) 2180.52 3776.76i 0.163665 0.283475i
\(563\) 6401.31 0.479189 0.239594 0.970873i \(-0.422986\pi\)
0.239594 + 0.970873i \(0.422986\pi\)
\(564\) −1049.13 + 1417.82i −0.0783268 + 0.105853i
\(565\) 11466.0 0.853765
\(566\) 18376.7 1.36472
\(567\) −13482.9 + 704.474i −0.998638 + 0.0521784i
\(568\) −1283.54 −0.0948169
\(569\) −15479.4 −1.14047 −0.570237 0.821480i \(-0.693149\pi\)
−0.570237 + 0.821480i \(0.693149\pi\)
\(570\) −482.109 + 651.537i −0.0354269 + 0.0478770i
\(571\) −4726.64 −0.346416 −0.173208 0.984885i \(-0.555413\pi\)
−0.173208 + 0.984885i \(0.555413\pi\)
\(572\) 480.930 832.995i 0.0351551 0.0608903i
\(573\) 2629.53 3553.63i 0.191711 0.259084i
\(574\) −123.969 + 7033.81i −0.00901458 + 0.511473i
\(575\) 19592.4 1.42098
\(576\) −4431.05 14493.0i −0.320533 1.04839i
\(577\) −12384.4 + 21450.4i −0.893536 + 1.54765i −0.0579295 + 0.998321i \(0.518450\pi\)
−0.835606 + 0.549329i \(0.814883\pi\)
\(578\) 2658.71 + 4605.02i 0.191328 + 0.331390i
\(579\) 7831.04 10583.1i 0.562085 0.759619i
\(580\) −1110.70 1923.79i −0.0795163 0.137726i
\(581\) 12323.8 6828.48i 0.879998 0.487595i
\(582\) −5576.94 12826.0i −0.397202 0.913494i
\(583\) 41891.8 2.97595
\(584\) −7117.94 + 12328.6i −0.504354 + 0.873566i
\(585\) 1055.23 + 3451.42i 0.0745782 + 0.243929i
\(586\) 7790.70 + 13493.9i 0.549199 + 0.951241i
\(587\) 69.8615 121.004i 0.00491225 0.00850827i −0.863559 0.504248i \(-0.831770\pi\)
0.868471 + 0.495740i \(0.165103\pi\)
\(588\) −4126.63 618.148i −0.289421 0.0433537i
\(589\) −277.774 481.119i −0.0194321 0.0336573i
\(590\) −4950.24 + 8574.06i −0.345420 + 0.598286i
\(591\) 11733.7 15857.3i 0.816682 1.10369i
\(592\) −1151.99 1995.30i −0.0799769 0.138524i
\(593\) −9361.92 16215.3i −0.648310 1.12291i −0.983526 0.180765i \(-0.942143\pi\)
0.335216 0.942141i \(-0.391191\pi\)
\(594\) 3452.27 + 18625.9i 0.238465 + 1.28658i
\(595\) 509.579 28912.7i 0.0351104 1.99211i
\(596\) 348.769 604.086i 0.0239700 0.0415173i
\(597\) −1007.97 2318.14i −0.0691010 0.158920i
\(598\) 1561.46 0.106778
\(599\) −16160.1 −1.10231 −0.551155 0.834403i \(-0.685813\pi\)
−0.551155 + 0.834403i \(0.685813\pi\)
\(600\) −27438.7 3126.17i −1.86697 0.212709i
\(601\) 3507.60 6075.35i 0.238067 0.412344i −0.722093 0.691796i \(-0.756820\pi\)
0.960160 + 0.279453i \(0.0901530\pi\)
\(602\) 1591.89 882.045i 0.107775 0.0597167i
\(603\) −7061.85 23097.8i −0.476917 1.55989i
\(604\) 50.3655 + 87.2356i 0.00339295 + 0.00587677i
\(605\) −17458.3 30238.7i −1.17319 2.03203i
\(606\) −435.382 49.6042i −0.0291851 0.00332514i
\(607\) −3452.27 + 5979.51i −0.230846 + 0.399836i −0.958057 0.286577i \(-0.907483\pi\)
0.727212 + 0.686413i \(0.240816\pi\)
\(608\) 181.345 + 314.099i 0.0120962 + 0.0209513i
\(609\) 646.187 4901.97i 0.0429964 0.326170i
\(610\) −5880.20 + 10184.8i −0.390299 + 0.676017i
\(611\) 524.715 + 908.833i 0.0347426 + 0.0601759i
\(612\) −5207.49 1202.21i −0.343954 0.0794060i
\(613\) 9835.21 17035.1i 0.648027 1.12242i −0.335567 0.942016i \(-0.608928\pi\)
0.983594 0.180399i \(-0.0577389\pi\)
\(614\) 4315.06 0.283618
\(615\) 9114.32 12317.4i 0.597601 0.807617i
\(616\) −455.699 + 25855.7i −0.0298063 + 1.69116i
\(617\) 1542.67 + 2671.98i 0.100657 + 0.174344i 0.911956 0.410289i \(-0.134572\pi\)
−0.811298 + 0.584632i \(0.801239\pi\)
\(618\) 6664.07 + 15326.2i 0.433767 + 0.997588i
\(619\) 5945.28 + 10297.5i 0.386044 + 0.668647i 0.991913 0.126917i \(-0.0405080\pi\)
−0.605870 + 0.795564i \(0.707175\pi\)
\(620\) 3382.44 5858.56i 0.219100 0.379492i
\(621\) 9674.46 8262.92i 0.625157 0.533944i
\(622\) 3916.15 0.252449
\(623\) −238.044 + 13506.3i −0.0153082 + 0.868566i
\(624\) −1486.88 169.405i −0.0953895 0.0108680i
\(625\) −2022.84 + 3503.66i −0.129462 + 0.224234i
\(626\) −9105.10 −0.581331
\(627\) −417.576 960.351i −0.0265971 0.0611686i
\(628\) 878.018 0.0557910
\(629\) −4895.69 −0.310340
\(630\) −15799.6 15262.5i −0.999161 0.965194i
\(631\) −13573.2 −0.856324 −0.428162 0.903702i \(-0.640839\pi\)
−0.428162 + 0.903702i \(0.640839\pi\)
\(632\) 12195.9 0.767607
\(633\) −23755.8 2706.56i −1.49164 0.169946i
\(634\) −12541.4 −0.785621
\(635\) −8488.50 + 14702.5i −0.530482 + 0.918822i
\(636\) 3580.21 + 8233.85i 0.223215 + 0.513354i
\(637\) −1316.35 + 2105.00i −0.0818768 + 0.130931i
\(638\) −6937.26 −0.430484
\(639\) 411.891 + 1347.21i 0.0254995 + 0.0834033i
\(640\) 4783.68 8285.57i 0.295455 0.511744i
\(641\) 4122.30 + 7140.04i 0.254011 + 0.439960i 0.964626 0.263621i \(-0.0849167\pi\)
−0.710615 + 0.703581i \(0.751583\pi\)
\(642\) 23361.2 + 2661.61i 1.43613 + 0.163622i
\(643\) −13757.6 23828.9i −0.843774 1.46146i −0.886682 0.462380i \(-0.846996\pi\)
0.0429081 0.999079i \(-0.486338\pi\)
\(644\) 3439.41 1905.73i 0.210453 0.116609i
\(645\) −3938.51 448.725i −0.240432 0.0273931i
\(646\) −714.121 −0.0434934
\(647\) −8187.62 + 14181.4i −0.497509 + 0.861711i −0.999996 0.00287387i \(-0.999085\pi\)
0.502487 + 0.864585i \(0.332419\pi\)
\(648\) −14867.3 + 10028.4i −0.901299 + 0.607949i
\(649\) −6395.86 11078.0i −0.386841 0.670028i
\(650\) −1860.00 + 3221.61i −0.112239 + 0.194403i
\(651\) 13912.0 5759.81i 0.837562 0.346766i
\(652\) 2955.05 + 5118.30i 0.177498 + 0.307435i
\(653\) 13774.9 23858.7i 0.825500 1.42981i −0.0760360 0.997105i \(-0.524226\pi\)
0.901536 0.432703i \(-0.142440\pi\)
\(654\) 8514.79 + 19582.5i 0.509105 + 1.17085i
\(655\) −21960.1 38036.0i −1.31000 2.26899i
\(656\) 3176.76 + 5502.31i 0.189073 + 0.327483i
\(657\) 15224.4 + 3514.73i 0.904048 + 0.208710i
\(658\) −5474.62 3290.75i −0.324351 0.194964i
\(659\) 62.0692 107.507i 0.00366900 0.00635490i −0.864185 0.503174i \(-0.832165\pi\)
0.867854 + 0.496819i \(0.165499\pi\)
\(660\) 7585.02 10250.6i 0.447343 0.604553i
\(661\) −21989.6 −1.29394 −0.646971 0.762515i \(-0.723965\pi\)
−0.646971 + 0.762515i \(0.723965\pi\)
\(662\) 7905.13 0.464111
\(663\) −1891.47 + 2556.19i −0.110797 + 0.149735i
\(664\) 9357.11 16207.0i 0.546877 0.947218i
\(665\) 1040.84 + 625.640i 0.0606948 + 0.0364831i
\(666\) −2536.40 + 2719.99i −0.147573 + 0.158255i
\(667\) 2329.65 + 4035.08i 0.135239 + 0.234241i
\(668\) 1081.38 + 1873.01i 0.0626348 + 0.108487i
\(669\) −3468.64 7977.27i −0.200457 0.461015i
\(670\) 19649.5 34033.9i 1.13302 1.96245i
\(671\) −7597.40 13159.1i −0.437101 0.757080i
\(672\) −9082.43 + 3760.29i −0.521373 + 0.215858i
\(673\) −13608.9 + 23571.2i −0.779470 + 1.35008i 0.152778 + 0.988261i \(0.451178\pi\)
−0.932248 + 0.361821i \(0.882155\pi\)
\(674\) −7074.10 12252.7i −0.404279 0.700232i
\(675\) 5523.94 + 29803.1i 0.314988 + 1.69944i
\(676\) −2510.48 + 4348.27i −0.142835 + 0.247398i
\(677\) 8391.68 0.476394 0.238197 0.971217i \(-0.423444\pi\)
0.238197 + 0.971217i \(0.423444\pi\)
\(678\) 7625.13 + 868.750i 0.431919 + 0.0492097i
\(679\) −18329.7 + 10156.3i −1.03598 + 0.574023i
\(680\) −19204.9 33263.9i −1.08305 1.87590i
\(681\) 17208.7 + 1960.63i 0.968338 + 0.110325i
\(682\) −10563.1 18295.8i −0.593080 1.02724i
\(683\) −5467.32 + 9469.67i −0.306297 + 0.530523i −0.977549 0.210707i \(-0.932424\pi\)
0.671252 + 0.741229i \(0.265757\pi\)
\(684\) 153.070 164.149i 0.00855669 0.00917604i
\(685\) 2011.87 0.112219
\(686\) 798.546 15090.2i 0.0444441 0.839866i
\(687\) 5068.47 + 11656.6i 0.281477 + 0.647346i
\(688\) 821.823 1423.44i 0.0455403 0.0788781i
\(689\) 5342.16 0.295384
\(690\) 20567.9 + 2343.35i 1.13479 + 0.129290i
\(691\) −15266.8 −0.840487 −0.420244 0.907411i \(-0.638055\pi\)
−0.420244 + 0.907411i \(0.638055\pi\)
\(692\) −3382.39 −0.185808
\(693\) 27284.5 7818.87i 1.49560 0.428592i
\(694\) 7882.12 0.431126
\(695\) −30458.3 −1.66237
\(696\) −2618.79 6022.75i −0.142622 0.328005i
\(697\) 13500.5 0.733671
\(698\) −1215.14 + 2104.68i −0.0658935 + 0.114131i
\(699\) 20886.3 + 2379.63i 1.13017 + 0.128764i
\(700\) −165.078 + 9366.29i −0.00891339 + 0.505732i
\(701\) 12327.1 0.664179 0.332089 0.943248i \(-0.392246\pi\)
0.332089 + 0.943248i \(0.392246\pi\)
\(702\) 440.243 + 2375.22i 0.0236694 + 0.127702i
\(703\) 102.799 178.053i 0.00551514 0.00955250i
\(704\) 15929.9 + 27591.3i 0.852811 + 1.47711i
\(705\) 5547.73 + 12758.8i 0.296368 + 0.681595i
\(706\) 13531.5 + 23437.2i 0.721337 + 1.24939i
\(707\) −11.5699 + 656.458i −0.000615461 + 0.0349203i
\(708\) 1630.77 2203.87i 0.0865649 0.116986i
\(709\) −30772.0 −1.63000 −0.814998 0.579464i \(-0.803262\pi\)
−0.814998 + 0.579464i \(0.803262\pi\)
\(710\) −1146.08 + 1985.07i −0.0605798 + 0.104927i
\(711\) −3913.71 12800.9i −0.206436 0.675206i
\(712\) 8971.36 + 15538.9i 0.472213 + 0.817898i
\(713\) −7094.52 + 12288.1i −0.372639 + 0.645430i
\(714\) 2529.53 19189.0i 0.132585 1.00578i
\(715\) −3793.60 6570.71i −0.198423 0.343679i
\(716\) 1003.05 1737.33i 0.0523543 0.0906803i
\(717\) 11744.3 + 1338.06i 0.611717 + 0.0696945i
\(718\) 5349.49 + 9265.58i 0.278052 + 0.481599i
\(719\) −7013.52 12147.8i −0.363783 0.630091i 0.624797 0.780787i \(-0.285182\pi\)
−0.988580 + 0.150696i \(0.951849\pi\)
\(720\) −19331.3 4462.86i −1.00060 0.231002i
\(721\) 21902.8 12136.1i 1.13135 0.626867i
\(722\) −8143.18 + 14104.4i −0.419748 + 0.727024i
\(723\) 30640.1 + 3490.91i 1.57610 + 0.179569i
\(724\) 1724.51 0.0885231
\(725\) −11100.2 −0.568624
\(726\) −9319.05 21432.2i −0.476395 1.09562i
\(727\) −15171.7 + 26278.1i −0.773984 + 1.34058i 0.161379 + 0.986893i \(0.448406\pi\)
−0.935363 + 0.353688i \(0.884927\pi\)
\(728\) −58.1120 + 3297.18i −0.00295848 + 0.167860i
\(729\) 15296.8 + 12386.6i 0.777157 + 0.629307i
\(730\) 12711.3 + 22016.7i 0.644476 + 1.11627i
\(731\) −1746.28 3024.65i −0.0883565 0.153038i
\(732\) 1937.13 2617.89i 0.0978118 0.132186i
\(733\) 13030.2 22568.9i 0.656589 1.13725i −0.324904 0.945747i \(-0.605332\pi\)
0.981493 0.191499i \(-0.0613348\pi\)
\(734\) 2000.04 + 3464.17i 0.100576 + 0.174203i
\(735\) −20498.2 + 25752.0i −1.02869 + 1.29235i
\(736\) 4631.66 8022.27i 0.231964 0.401773i
\(737\) 25387.7 + 43972.9i 1.26889 + 2.19778i
\(738\) 6994.48 7500.75i 0.348876 0.374128i
\(739\) −5002.68 + 8664.89i −0.249021 + 0.431317i −0.963254 0.268591i \(-0.913442\pi\)
0.714234 + 0.699907i \(0.246775\pi\)
\(740\) 2503.56 0.124368
\(741\) −53.2504 122.467i −0.00263995 0.00607142i
\(742\) −28441.7 + 15759.2i −1.40718 + 0.779700i
\(743\) −3645.15 6313.58i −0.179983 0.311740i 0.761891 0.647705i \(-0.224271\pi\)
−0.941875 + 0.335965i \(0.890938\pi\)
\(744\) 11896.4 16077.1i 0.586213 0.792227i
\(745\) −2751.11 4765.06i −0.135292 0.234333i
\(746\) −7277.98 + 12605.8i −0.357193 + 0.618676i
\(747\) −20013.7 4620.40i −0.980270 0.226307i
\(748\) 11235.3 0.549200
\(749\) 620.804 35223.4i 0.0302853 1.71834i
\(750\) −12362.5 + 16707.1i −0.601887 + 0.813409i
\(751\) −9995.28 + 17312.3i −0.485663 + 0.841193i −0.999864 0.0164766i \(-0.994755\pi\)
0.514201 + 0.857670i \(0.328088\pi\)
\(752\) −5768.84 −0.279745
\(753\) 9985.75 13495.0i 0.483268 0.653103i
\(754\) −884.658 −0.0427286
\(755\) 794.572 0.0383012
\(756\) 3868.62 + 4694.55i 0.186112 + 0.225846i
\(757\) 22849.4 1.09706 0.548531 0.836130i \(-0.315187\pi\)
0.548531 + 0.836130i \(0.315187\pi\)
\(758\) −19413.0 −0.930228
\(759\) −15909.2 + 21500.2i −0.760829 + 1.02821i
\(760\) 1613.05 0.0769889
\(761\) −14622.4 + 25326.7i −0.696532 + 1.20643i 0.273129 + 0.961977i \(0.411941\pi\)
−0.969661 + 0.244452i \(0.921392\pi\)
\(762\) −6759.02 + 9134.34i −0.321330 + 0.434255i
\(763\) 27985.6 15506.5i 1.32785 0.735742i
\(764\) −1991.82 −0.0943211
\(765\) −28751.1 + 30832.1i −1.35882 + 1.45717i
\(766\) 11623.2 20131.9i 0.548253 0.949602i
\(767\) −815.618 1412.69i −0.0383967 0.0665050i
\(768\) −10069.9 + 13608.8i −0.473134 + 0.639408i
\(769\) −2853.73 4942.80i −0.133821 0.231784i 0.791326 0.611395i \(-0.209391\pi\)
−0.925146 + 0.379611i \(0.876058\pi\)
\(770\) 39580.5 + 23791.5i 1.85245 + 1.11349i
\(771\) −12764.0 29355.0i −0.596219 1.37120i
\(772\) −5931.85 −0.276544
\(773\) 3293.39 5704.32i 0.153241 0.265421i −0.779176