Properties

Label 63.4.s.a.47.18
Level $63$
Weight $4$
Character 63.47
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.s (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 47.18
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.18

$q$-expansion

\(f(q)\) \(=\) \(q+(3.22215 - 1.86031i) q^{2} +(-1.86223 - 4.85099i) q^{3} +(2.92152 - 5.06021i) q^{4} +13.6667 q^{5} +(-15.0248 - 12.1663i) q^{6} +(-10.0995 - 15.5242i) q^{7} +8.02526i q^{8} +(-20.0642 + 18.0673i) q^{9} +O(q^{10})\) \(q+(3.22215 - 1.86031i) q^{2} +(-1.86223 - 4.85099i) q^{3} +(2.92152 - 5.06021i) q^{4} +13.6667 q^{5} +(-15.0248 - 12.1663i) q^{6} +(-10.0995 - 15.5242i) q^{7} +8.02526i q^{8} +(-20.0642 + 18.0673i) q^{9} +(44.0363 - 25.4243i) q^{10} -24.6001i q^{11} +(-29.9876 - 4.74894i) q^{12} +(-2.03747 + 1.17634i) q^{13} +(-61.4219 - 31.2332i) q^{14} +(-25.4506 - 66.2971i) q^{15} +(38.3016 + 66.3403i) q^{16} +(63.8439 + 110.581i) q^{17} +(-31.0390 + 95.5414i) q^{18} +(87.2223 + 50.3578i) q^{19} +(39.9275 - 69.1565i) q^{20} +(-56.5002 + 77.9021i) q^{21} +(-45.7638 - 79.2652i) q^{22} -48.5293i q^{23} +(38.9304 - 14.9449i) q^{24} +61.7791 q^{25} +(-4.37670 + 7.58067i) q^{26} +(125.009 + 63.6854i) q^{27} +(-108.062 + 5.75126i) q^{28} +(-171.644 - 99.0987i) q^{29} +(-205.339 - 166.273i) q^{30} +(-37.2350 - 21.4976i) q^{31} +(191.227 + 110.405i) q^{32} +(-119.335 + 45.8111i) q^{33} +(411.430 + 237.539i) q^{34} +(-138.026 - 212.165i) q^{35} +(32.8068 + 154.313i) q^{36} +(-42.0011 + 72.7481i) q^{37} +374.725 q^{38} +(9.50065 + 7.69315i) q^{39} +109.679i q^{40} +(-92.8172 - 160.764i) q^{41} +(-37.1301 + 356.120i) q^{42} +(-185.452 + 321.213i) q^{43} +(-124.482 - 71.8695i) q^{44} +(-274.211 + 246.921i) q^{45} +(-90.2797 - 156.369i) q^{46} +(-252.364 - 437.108i) q^{47} +(250.490 - 309.342i) q^{48} +(-139.002 + 313.572i) q^{49} +(199.062 - 114.928i) q^{50} +(417.534 - 515.634i) q^{51} +13.7467i q^{52} +(-372.688 + 215.171i) q^{53} +(521.272 - 27.3507i) q^{54} -336.202i q^{55} +(124.586 - 81.0508i) q^{56} +(81.8569 - 516.893i) q^{57} -737.418 q^{58} +(-156.082 + 270.342i) q^{59} +(-409.832 - 64.9024i) q^{60} +(475.071 - 274.282i) q^{61} -159.969 q^{62} +(483.119 + 129.010i) q^{63} +208.723 q^{64} +(-27.8456 + 16.0767i) q^{65} +(-299.292 + 369.610i) q^{66} +(325.766 - 564.244i) q^{67} +746.084 q^{68} +(-235.415 + 90.3730i) q^{69} +(-839.435 - 426.855i) q^{70} -18.9019i q^{71} +(-144.995 - 161.020i) q^{72} +(525.319 - 303.293i) q^{73} +312.541i q^{74} +(-115.047 - 299.690i) q^{75} +(509.643 - 294.243i) q^{76} +(-381.896 + 248.448i) q^{77} +(44.9242 + 7.11436i) q^{78} +(-217.717 - 377.098i) q^{79} +(523.457 + 906.654i) q^{80} +(76.1420 - 725.013i) q^{81} +(-598.142 - 345.338i) q^{82} +(-424.248 + 734.819i) q^{83} +(229.135 + 513.495i) q^{84} +(872.537 + 1511.28i) q^{85} +1380.00i q^{86} +(-161.085 + 1017.19i) q^{87} +197.422 q^{88} +(147.005 - 254.620i) q^{89} +(-424.201 + 1305.74i) q^{90} +(38.8391 + 19.7498i) q^{91} +(-245.569 - 141.779i) q^{92} +(-34.9445 + 220.660i) q^{93} +(-1626.31 - 938.953i) q^{94} +(1192.04 + 688.226i) q^{95} +(179.464 - 1133.24i) q^{96} +(-900.965 - 520.172i) q^{97} +(135.457 + 1268.96i) q^{98} +(444.458 + 493.580i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.22215 1.86031i 1.13920 0.657719i 0.192970 0.981205i \(-0.438188\pi\)
0.946233 + 0.323485i \(0.104855\pi\)
\(3\) −1.86223 4.85099i −0.358387 0.933573i
\(4\) 2.92152 5.06021i 0.365190 0.632527i
\(5\) 13.6667 1.22239 0.611194 0.791481i \(-0.290690\pi\)
0.611194 + 0.791481i \(0.290690\pi\)
\(6\) −15.0248 12.1663i −1.02230 0.827812i
\(7\) −10.0995 15.5242i −0.545320 0.838228i
\(8\) 8.02526i 0.354670i
\(9\) −20.0642 + 18.0673i −0.743118 + 0.669161i
\(10\) 44.0363 25.4243i 1.39255 0.803988i
\(11\) 24.6001i 0.674291i −0.941453 0.337145i \(-0.890539\pi\)
0.941453 0.337145i \(-0.109461\pi\)
\(12\) −29.9876 4.74894i −0.721389 0.114242i
\(13\) −2.03747 + 1.17634i −0.0434688 + 0.0250967i −0.521577 0.853204i \(-0.674656\pi\)
0.478108 + 0.878301i \(0.341323\pi\)
\(14\) −61.4219 31.2332i −1.17255 0.596245i
\(15\) −25.4506 66.2971i −0.438088 1.14119i
\(16\) 38.3016 + 66.3403i 0.598463 + 1.03657i
\(17\) 63.8439 + 110.581i 0.910848 + 1.57764i 0.812868 + 0.582447i \(0.197905\pi\)
0.0979801 + 0.995188i \(0.468762\pi\)
\(18\) −31.0390 + 95.5414i −0.406442 + 1.25107i
\(19\) 87.2223 + 50.3578i 1.05317 + 0.608046i 0.923534 0.383516i \(-0.125287\pi\)
0.129633 + 0.991562i \(0.458620\pi\)
\(20\) 39.9275 69.1565i 0.446403 0.773193i
\(21\) −56.5002 + 77.9021i −0.587112 + 0.809506i
\(22\) −45.7638 79.2652i −0.443494 0.768154i
\(23\) 48.5293i 0.439959i −0.975504 0.219980i \(-0.929401\pi\)
0.975504 0.219980i \(-0.0705991\pi\)
\(24\) 38.9304 14.9449i 0.331110 0.127109i
\(25\) 61.7791 0.494233
\(26\) −4.37670 + 7.58067i −0.0330132 + 0.0571805i
\(27\) 125.009 + 63.6854i 0.891034 + 0.453936i
\(28\) −108.062 + 5.75126i −0.729347 + 0.0388173i
\(29\) −171.644 99.0987i −1.09909 0.634557i −0.163105 0.986609i \(-0.552151\pi\)
−0.935981 + 0.352051i \(0.885484\pi\)
\(30\) −205.339 166.273i −1.24965 1.01191i
\(31\) −37.2350 21.4976i −0.215729 0.124551i 0.388242 0.921557i \(-0.373082\pi\)
−0.603971 + 0.797006i \(0.706416\pi\)
\(32\) 191.227 + 110.405i 1.05639 + 0.609906i
\(33\) −119.335 + 45.8111i −0.629500 + 0.241657i
\(34\) 411.430 + 237.539i 2.07528 + 1.19817i
\(35\) −138.026 212.165i −0.666592 1.02464i
\(36\) 32.8068 + 154.313i 0.151884 + 0.714412i
\(37\) −42.0011 + 72.7481i −0.186620 + 0.323235i −0.944121 0.329598i \(-0.893087\pi\)
0.757501 + 0.652834i \(0.226420\pi\)
\(38\) 374.725 1.59970
\(39\) 9.50065 + 7.69315i 0.0390082 + 0.0315869i
\(40\) 109.679i 0.433544i
\(41\) −92.8172 160.764i −0.353551 0.612369i 0.633318 0.773892i \(-0.281693\pi\)
−0.986869 + 0.161523i \(0.948359\pi\)
\(42\) −37.1301 + 356.120i −0.136412 + 1.30835i
\(43\) −185.452 + 321.213i −0.657702 + 1.13917i 0.323507 + 0.946226i \(0.395138\pi\)
−0.981209 + 0.192948i \(0.938195\pi\)
\(44\) −124.482 71.8695i −0.426507 0.246244i
\(45\) −274.211 + 246.921i −0.908378 + 0.817974i
\(46\) −90.2797 156.369i −0.289370 0.501203i
\(47\) −252.364 437.108i −0.783215 1.35657i −0.930059 0.367409i \(-0.880245\pi\)
0.146844 0.989160i \(-0.453089\pi\)
\(48\) 250.490 309.342i 0.753231 0.930201i
\(49\) −139.002 + 313.572i −0.405253 + 0.914205i
\(50\) 199.062 114.928i 0.563031 0.325066i
\(51\) 417.534 515.634i 1.14640 1.41575i
\(52\) 13.7467i 0.0366602i
\(53\) −372.688 + 215.171i −0.965898 + 0.557661i −0.897983 0.440030i \(-0.854968\pi\)
−0.0679145 + 0.997691i \(0.521635\pi\)
\(54\) 521.272 27.3507i 1.31363 0.0689252i
\(55\) 336.202i 0.824245i
\(56\) 124.586 81.0508i 0.297294 0.193408i
\(57\) 81.8569 516.893i 0.190214 1.20112i
\(58\) −737.418 −1.66944
\(59\) −156.082 + 270.342i −0.344410 + 0.596535i −0.985246 0.171142i \(-0.945254\pi\)
0.640837 + 0.767677i \(0.278588\pi\)
\(60\) −409.832 64.9024i −0.881818 0.139648i
\(61\) 475.071 274.282i 0.997157 0.575709i 0.0897513 0.995964i \(-0.471393\pi\)
0.907406 + 0.420255i \(0.138059\pi\)
\(62\) −159.969 −0.327679
\(63\) 483.119 + 129.010i 0.966146 + 0.257995i
\(64\) 208.723 0.407663
\(65\) −27.8456 + 16.0767i −0.0531357 + 0.0306779i
\(66\) −299.292 + 369.610i −0.558186 + 0.689331i
\(67\) 325.766 564.244i 0.594010 1.02886i −0.399675 0.916657i \(-0.630877\pi\)
0.993686 0.112199i \(-0.0357895\pi\)
\(68\) 746.084 1.33053
\(69\) −235.415 + 90.3730i −0.410734 + 0.157676i
\(70\) −839.435 426.855i −1.43331 0.728842i
\(71\) 18.9019i 0.0315950i −0.999875 0.0157975i \(-0.994971\pi\)
0.999875 0.0157975i \(-0.00502871\pi\)
\(72\) −144.995 161.020i −0.237331 0.263561i
\(73\) 525.319 303.293i 0.842245 0.486271i −0.0157815 0.999875i \(-0.505024\pi\)
0.858027 + 0.513605i \(0.171690\pi\)
\(74\) 312.541i 0.490974i
\(75\) −115.047 299.690i −0.177127 0.461402i
\(76\) 509.643 294.243i 0.769211 0.444104i
\(77\) −381.896 + 248.448i −0.565210 + 0.367704i
\(78\) 44.9242 + 7.11436i 0.0652137 + 0.0103275i
\(79\) −217.717 377.098i −0.310065 0.537048i 0.668311 0.743882i \(-0.267017\pi\)
−0.978376 + 0.206834i \(0.933684\pi\)
\(80\) 523.457 + 906.654i 0.731554 + 1.26709i
\(81\) 76.1420 725.013i 0.104447 0.994530i
\(82\) −598.142 345.338i −0.805534 0.465075i
\(83\) −424.248 + 734.819i −0.561051 + 0.971769i 0.436354 + 0.899775i \(0.356270\pi\)
−0.997405 + 0.0719942i \(0.977064\pi\)
\(84\) 229.135 + 513.495i 0.297627 + 0.666987i
\(85\) 872.537 + 1511.28i 1.11341 + 1.92848i
\(86\) 1380.00i 1.73033i
\(87\) −161.085 + 1017.19i −0.198508 + 1.25349i
\(88\) 197.422 0.239151
\(89\) 147.005 254.620i 0.175084 0.303254i −0.765106 0.643904i \(-0.777314\pi\)
0.940190 + 0.340650i \(0.110647\pi\)
\(90\) −424.201 + 1305.74i −0.496830 + 1.52930i
\(91\) 38.8391 + 19.7498i 0.0447411 + 0.0227510i
\(92\) −245.569 141.779i −0.278286 0.160669i
\(93\) −34.9445 + 220.660i −0.0389632 + 0.246037i
\(94\) −1626.31 938.953i −1.78448 1.03027i
\(95\) 1192.04 + 688.226i 1.28738 + 0.743269i
\(96\) 179.464 1133.24i 0.190796 1.20480i
\(97\) −900.965 520.172i −0.943084 0.544490i −0.0521583 0.998639i \(-0.516610\pi\)
−0.890926 + 0.454149i \(0.849943\pi\)
\(98\) 135.457 + 1268.96i 0.139625 + 1.30801i
\(99\) 444.458 + 493.580i 0.451209 + 0.501077i
\(100\) 180.489 312.615i 0.180489 0.312615i
\(101\) 249.256 0.245564 0.122782 0.992434i \(-0.460818\pi\)
0.122782 + 0.992434i \(0.460818\pi\)
\(102\) 386.121 2438.19i 0.374820 2.36684i
\(103\) 751.550i 0.718955i 0.933154 + 0.359478i \(0.117045\pi\)
−0.933154 + 0.359478i \(0.882955\pi\)
\(104\) −9.44041 16.3513i −0.00890104 0.0154171i
\(105\) −772.171 + 1064.67i −0.717678 + 0.989530i
\(106\) −800.571 + 1386.63i −0.733569 + 1.27058i
\(107\) −1406.36 811.965i −1.27064 0.733604i −0.295531 0.955333i \(-0.595497\pi\)
−0.975108 + 0.221729i \(0.928830\pi\)
\(108\) 687.477 446.513i 0.612523 0.397830i
\(109\) 724.736 + 1255.28i 0.636854 + 1.10306i 0.986119 + 0.166040i \(0.0530981\pi\)
−0.349265 + 0.937024i \(0.613569\pi\)
\(110\) −625.441 1083.29i −0.542122 0.938983i
\(111\) 431.116 + 68.2730i 0.368646 + 0.0583801i
\(112\) 643.055 1264.60i 0.542527 1.06691i
\(113\) 227.719 131.473i 0.189575 0.109451i −0.402209 0.915548i \(-0.631757\pi\)
0.591784 + 0.806097i \(0.298424\pi\)
\(114\) −697.826 1817.79i −0.573310 1.49343i
\(115\) 663.237i 0.537801i
\(116\) −1002.92 + 579.037i −0.802749 + 0.463467i
\(117\) 19.6270 60.4140i 0.0155087 0.0477374i
\(118\) 1161.45i 0.906100i
\(119\) 1071.89 2107.93i 0.825715 1.62381i
\(120\) 532.051 204.248i 0.404745 0.155377i
\(121\) 725.837 0.545332
\(122\) 1020.50 1767.56i 0.757310 1.31170i
\(123\) −607.017 + 749.635i −0.444983 + 0.549531i
\(124\) −217.565 + 125.611i −0.157564 + 0.0909697i
\(125\) −864.022 −0.618244
\(126\) 1796.68 483.062i 1.27033 0.341544i
\(127\) −368.812 −0.257691 −0.128846 0.991665i \(-0.541127\pi\)
−0.128846 + 0.991665i \(0.541127\pi\)
\(128\) −857.275 + 494.948i −0.591977 + 0.341778i
\(129\) 1903.55 + 301.453i 1.29921 + 0.205748i
\(130\) −59.8152 + 103.603i −0.0403549 + 0.0698967i
\(131\) 1103.15 0.735746 0.367873 0.929876i \(-0.380086\pi\)
0.367873 + 0.929876i \(0.380086\pi\)
\(132\) −116.824 + 737.697i −0.0770322 + 0.486426i
\(133\) −99.1337 1862.64i −0.0646315 1.21437i
\(134\) 2424.11i 1.56277i
\(135\) 1708.46 + 870.371i 1.08919 + 0.554886i
\(136\) −887.441 + 512.364i −0.559540 + 0.323050i
\(137\) 1244.83i 0.776297i 0.921597 + 0.388148i \(0.126885\pi\)
−0.921597 + 0.388148i \(0.873115\pi\)
\(138\) −590.422 + 729.141i −0.364204 + 0.449773i
\(139\) 1997.85 1153.46i 1.21910 0.703848i 0.254376 0.967106i \(-0.418130\pi\)
0.964726 + 0.263257i \(0.0847967\pi\)
\(140\) −1476.85 + 78.6008i −0.891545 + 0.0474498i
\(141\) −1650.44 + 2038.21i −0.985762 + 1.21737i
\(142\) −35.1635 60.9049i −0.0207807 0.0359932i
\(143\) 28.9380 + 50.1220i 0.0169225 + 0.0293106i
\(144\) −1967.08 639.056i −1.13836 0.369824i
\(145\) −2345.81 1354.35i −1.34351 0.775675i
\(146\) 1128.44 1954.51i 0.639659 1.10792i
\(147\) 1779.99 + 90.3504i 0.998714 + 0.0506937i
\(148\) 245.414 + 425.069i 0.136303 + 0.236084i
\(149\) 331.164i 0.182080i −0.995847 0.0910402i \(-0.970981\pi\)
0.995847 0.0910402i \(-0.0290192\pi\)
\(150\) −928.215 751.622i −0.505256 0.409131i
\(151\) 1829.44 0.985948 0.492974 0.870044i \(-0.335910\pi\)
0.492974 + 0.870044i \(0.335910\pi\)
\(152\) −404.135 + 699.982i −0.215656 + 0.373527i
\(153\) −3278.88 1065.22i −1.73256 0.562865i
\(154\) −768.339 + 1510.98i −0.402042 + 0.790639i
\(155\) −508.880 293.802i −0.263705 0.152250i
\(156\) 66.6853 25.5997i 0.0342250 0.0131385i
\(157\) 37.6414 + 21.7323i 0.0191345 + 0.0110473i 0.509537 0.860449i \(-0.329817\pi\)
−0.490402 + 0.871496i \(0.663150\pi\)
\(158\) −1403.04 810.045i −0.706454 0.407871i
\(159\) 1737.82 + 1407.20i 0.866783 + 0.701878i
\(160\) 2613.44 + 1508.87i 1.29132 + 0.745542i
\(161\) −753.379 + 490.120i −0.368786 + 0.239919i
\(162\) −1103.41 2477.75i −0.535135 1.20167i
\(163\) −1337.78 + 2317.11i −0.642841 + 1.11343i 0.341954 + 0.939717i \(0.388911\pi\)
−0.984796 + 0.173717i \(0.944422\pi\)
\(164\) −1084.67 −0.516453
\(165\) −1630.91 + 626.087i −0.769493 + 0.295399i
\(166\) 3156.93i 1.47606i
\(167\) −1300.57 2252.66i −0.602644 1.04381i −0.992419 0.122900i \(-0.960781\pi\)
0.389775 0.920910i \(-0.372553\pi\)
\(168\) −625.184 453.428i −0.287107 0.208231i
\(169\) −1095.73 + 1897.86i −0.498740 + 0.863844i
\(170\) 5622.89 + 3246.38i 2.53680 + 1.46462i
\(171\) −2659.88 + 565.488i −1.18951 + 0.252888i
\(172\) 1083.60 + 1876.86i 0.480372 + 0.832028i
\(173\) 875.543 + 1516.48i 0.384776 + 0.666452i 0.991738 0.128279i \(-0.0409453\pi\)
−0.606962 + 0.794731i \(0.707612\pi\)
\(174\) 1373.24 + 3577.20i 0.598307 + 1.55855i
\(175\) −623.936 959.071i −0.269515 0.414280i
\(176\) 1631.98 942.222i 0.698948 0.403538i
\(177\) 1602.09 + 253.712i 0.680341 + 0.107741i
\(178\) 1093.90i 0.460625i
\(179\) 3563.92 2057.63i 1.48816 0.859187i 0.488248 0.872705i \(-0.337636\pi\)
0.999909 + 0.0135177i \(0.00430295\pi\)
\(180\) 448.362 + 2108.95i 0.185661 + 0.873289i
\(181\) 2733.54i 1.12256i −0.827628 0.561278i \(-0.810310\pi\)
0.827628 0.561278i \(-0.189690\pi\)
\(182\) 161.886 8.61592i 0.0659330 0.00350909i
\(183\) −2215.23 1793.79i −0.894835 0.724593i
\(184\) 389.461 0.156040
\(185\) −574.017 + 994.227i −0.228122 + 0.395119i
\(186\) 297.900 + 776.009i 0.117436 + 0.305913i
\(187\) 2720.30 1570.56i 1.06379 0.614177i
\(188\) −2949.15 −1.14409
\(189\) −273.855 2583.85i −0.105397 0.994430i
\(190\) 5121.26 1.95545
\(191\) 182.199 105.192i 0.0690232 0.0398506i −0.465091 0.885263i \(-0.653978\pi\)
0.534114 + 0.845412i \(0.320645\pi\)
\(192\) −388.692 1012.52i −0.146101 0.380583i
\(193\) −413.913 + 716.919i −0.154374 + 0.267383i −0.932831 0.360315i \(-0.882669\pi\)
0.778457 + 0.627698i \(0.216003\pi\)
\(194\) −3870.73 −1.43249
\(195\) 129.843 + 105.140i 0.0476832 + 0.0386115i
\(196\) 1180.65 + 1619.48i 0.430265 + 0.590191i
\(197\) 4969.34i 1.79721i −0.438756 0.898606i \(-0.644581\pi\)
0.438756 0.898606i \(-0.355419\pi\)
\(198\) 2350.32 + 763.561i 0.843587 + 0.274060i
\(199\) 1994.86 1151.74i 0.710614 0.410273i −0.100674 0.994919i \(-0.532100\pi\)
0.811288 + 0.584646i \(0.198767\pi\)
\(200\) 495.793i 0.175289i
\(201\) −3343.79 529.535i −1.17340 0.185823i
\(202\) 803.142 463.694i 0.279747 0.161512i
\(203\) 195.084 + 3665.48i 0.0674494 + 1.26732i
\(204\) −1389.38 3619.25i −0.476844 1.24215i
\(205\) −1268.51 2197.12i −0.432177 0.748553i
\(206\) 1398.12 + 2421.61i 0.472871 + 0.819036i
\(207\) 876.796 + 973.701i 0.294404 + 0.326942i
\(208\) −156.077 90.1112i −0.0520289 0.0300389i
\(209\) 1238.81 2145.68i 0.410000 0.710141i
\(210\) −507.446 + 4866.99i −0.166748 + 1.59931i
\(211\) −1406.66 2436.40i −0.458949 0.794923i 0.539957 0.841693i \(-0.318441\pi\)
−0.998906 + 0.0467701i \(0.985107\pi\)
\(212\) 2514.51i 0.814608i
\(213\) −91.6931 + 35.1998i −0.0294963 + 0.0113232i
\(214\) −6042.03 −1.93002
\(215\) −2534.52 + 4389.92i −0.803967 + 1.39251i
\(216\) −511.092 + 1003.23i −0.160997 + 0.316023i
\(217\) 42.3200 + 795.159i 0.0132390 + 0.248751i
\(218\) 4670.42 + 2696.47i 1.45101 + 0.837743i
\(219\) −2449.54 1983.51i −0.755819 0.612025i
\(220\) −1701.25 982.220i −0.521357 0.301006i
\(221\) −260.161 150.204i −0.0791869 0.0457186i
\(222\) 1516.13 582.024i 0.458360 0.175959i
\(223\) 3655.84 + 2110.70i 1.09782 + 0.633825i 0.935647 0.352938i \(-0.114817\pi\)
0.162170 + 0.986763i \(0.448151\pi\)
\(224\) −217.341 4083.67i −0.0648292 1.21809i
\(225\) −1239.55 + 1116.18i −0.367273 + 0.330721i
\(226\) 489.163 847.256i 0.143976 0.249374i
\(227\) −1244.04 −0.363744 −0.181872 0.983322i \(-0.558216\pi\)
−0.181872 + 0.983322i \(0.558216\pi\)
\(228\) −2376.44 1924.32i −0.690279 0.558954i
\(229\) 4677.04i 1.34964i 0.737982 + 0.674820i \(0.235779\pi\)
−0.737982 + 0.674820i \(0.764221\pi\)
\(230\) −1233.83 2137.05i −0.353722 0.612665i
\(231\) 1916.40 + 1389.91i 0.545843 + 0.395884i
\(232\) 795.293 1377.49i 0.225058 0.389812i
\(233\) 651.597 + 376.200i 0.183208 + 0.105775i 0.588799 0.808279i \(-0.299601\pi\)
−0.405591 + 0.914055i \(0.632934\pi\)
\(234\) −49.1477 231.175i −0.0137303 0.0645829i
\(235\) −3448.99 5973.83i −0.957393 1.65825i
\(236\) 911.994 + 1579.62i 0.251550 + 0.435697i
\(237\) −1423.86 + 1758.39i −0.390251 + 0.481939i
\(238\) −467.616 8786.14i −0.127357 2.39294i
\(239\) −1800.76 + 1039.67i −0.487370 + 0.281383i −0.723483 0.690343i \(-0.757460\pi\)
0.236113 + 0.971726i \(0.424126\pi\)
\(240\) 3423.37 4227.69i 0.920740 1.13707i
\(241\) 3906.35i 1.04411i 0.852912 + 0.522054i \(0.174834\pi\)
−0.852912 + 0.522054i \(0.825166\pi\)
\(242\) 2338.76 1350.28i 0.621244 0.358675i
\(243\) −3658.82 + 980.779i −0.965899 + 0.258918i
\(244\) 3205.28i 0.840972i
\(245\) −1899.70 + 4285.50i −0.495376 + 1.11751i
\(246\) −561.348 + 3544.68i −0.145489 + 0.918702i
\(247\) −236.951 −0.0610398
\(248\) 172.524 298.821i 0.0441746 0.0765127i
\(249\) 4354.65 + 689.617i 1.10829 + 0.175513i
\(250\) −2784.01 + 1607.35i −0.704306 + 0.406631i
\(251\) −1877.00 −0.472012 −0.236006 0.971752i \(-0.575838\pi\)
−0.236006 + 0.971752i \(0.575838\pi\)
\(252\) 2064.26 2067.78i 0.516015 0.516896i
\(253\) −1193.83 −0.296661
\(254\) −1188.37 + 686.106i −0.293563 + 0.169489i
\(255\) 5706.32 7047.02i 1.40135 1.73059i
\(256\) −2676.41 + 4635.67i −0.653420 + 1.13176i
\(257\) 5301.76 1.28683 0.643414 0.765518i \(-0.277517\pi\)
0.643414 + 0.765518i \(0.277517\pi\)
\(258\) 6694.34 2569.87i 1.61539 0.620129i
\(259\) 1553.54 82.6828i 0.372713 0.0198365i
\(260\) 187.873i 0.0448130i
\(261\) 5234.34 1112.82i 1.24137 0.263915i
\(262\) 3554.52 2052.20i 0.838164 0.483914i
\(263\) 1658.25i 0.388791i −0.980923 0.194395i \(-0.937726\pi\)
0.980923 0.194395i \(-0.0622744\pi\)
\(264\) −367.646 957.692i −0.0857085 0.223265i
\(265\) −5093.41 + 2940.68i −1.18070 + 0.681678i
\(266\) −3784.52 5817.31i −0.872346 1.34091i
\(267\) −1508.91 238.957i −0.345858 0.0547713i
\(268\) −1903.46 3296.90i −0.433853 0.751455i
\(269\) −1903.76 3297.40i −0.431502 0.747383i 0.565501 0.824748i \(-0.308683\pi\)
−0.997003 + 0.0773642i \(0.975350\pi\)
\(270\) 7124.07 373.794i 1.60577 0.0842533i
\(271\) 2510.98 + 1449.71i 0.562845 + 0.324959i 0.754287 0.656545i \(-0.227983\pi\)
−0.191442 + 0.981504i \(0.561316\pi\)
\(272\) −4890.65 + 8470.85i −1.09022 + 1.88831i
\(273\) 23.4786 225.187i 0.00520508 0.0499228i
\(274\) 2315.76 + 4011.02i 0.510585 + 0.884360i
\(275\) 1519.77i 0.333256i
\(276\) −230.463 + 1455.28i −0.0502617 + 0.317382i
\(277\) −4374.02 −0.948770 −0.474385 0.880318i \(-0.657329\pi\)
−0.474385 + 0.880318i \(0.657329\pi\)
\(278\) 4291.58 7433.23i 0.925870 1.60365i
\(279\) 1135.50 241.405i 0.243657 0.0518013i
\(280\) 1702.68 1107.70i 0.363409 0.236420i
\(281\) 1910.31 + 1102.92i 0.405550 + 0.234144i 0.688876 0.724879i \(-0.258104\pi\)
−0.283326 + 0.959024i \(0.591438\pi\)
\(282\) −1526.27 + 9637.78i −0.322299 + 2.03518i
\(283\) −4804.41 2773.83i −1.00916 0.582640i −0.0982157 0.995165i \(-0.531314\pi\)
−0.910946 + 0.412525i \(0.864647\pi\)
\(284\) −95.6478 55.2223i −0.0199847 0.0115382i
\(285\) 1118.72 7064.22i 0.232516 1.46824i
\(286\) 186.485 + 107.667i 0.0385563 + 0.0222605i
\(287\) −1558.33 + 3064.54i −0.320506 + 0.630294i
\(288\) −5831.53 + 1239.78i −1.19315 + 0.253662i
\(289\) −5695.59 + 9865.05i −1.15929 + 2.00795i
\(290\) −10078.1 −2.04071
\(291\) −845.543 + 5339.25i −0.170332 + 1.07558i
\(292\) 3544.30i 0.710324i
\(293\) −332.172 575.338i −0.0662310 0.114715i 0.831008 0.556260i \(-0.187764\pi\)
−0.897239 + 0.441544i \(0.854431\pi\)
\(294\) 5903.48 3020.21i 1.17108 0.599123i
\(295\) −2133.13 + 3694.69i −0.421002 + 0.729197i
\(296\) −583.822 337.070i −0.114642 0.0661885i
\(297\) 1566.67 3075.22i 0.306085 0.600816i
\(298\) −616.068 1067.06i −0.119758 0.207427i
\(299\) 57.0868 + 98.8773i 0.0110415 + 0.0191245i
\(300\) −1852.61 293.385i −0.356534 0.0564620i
\(301\) 6859.54 365.079i 1.31355 0.0699096i
\(302\) 5894.75 3403.34i 1.12319 0.648477i
\(303\) −464.173 1209.14i −0.0880068 0.229252i
\(304\) 7715.15i 1.45557i
\(305\) 6492.66 3748.54i 1.21891 0.703740i
\(306\) −12546.7 + 2667.42i −2.34394 + 0.498321i
\(307\) 3371.17i 0.626720i −0.949634 0.313360i \(-0.898545\pi\)
0.949634 0.313360i \(-0.101455\pi\)
\(308\) 141.481 + 2658.32i 0.0261742 + 0.491792i
\(309\) 3645.76 1399.56i 0.671197 0.257664i
\(310\) −2186.25 −0.400551
\(311\) −2478.69 + 4293.21i −0.451940 + 0.782784i −0.998507 0.0546322i \(-0.982601\pi\)
0.546566 + 0.837416i \(0.315935\pi\)
\(312\) −61.7396 + 76.2452i −0.0112029 + 0.0138350i
\(313\) 6842.46 3950.50i 1.23565 0.713404i 0.267449 0.963572i \(-0.413819\pi\)
0.968202 + 0.250168i \(0.0804860\pi\)
\(314\) 161.715 0.0290641
\(315\) 6602.64 + 1763.14i 1.18101 + 0.315370i
\(316\) −2544.26 −0.452930
\(317\) 5197.48 3000.77i 0.920882 0.531671i 0.0369656 0.999317i \(-0.488231\pi\)
0.883916 + 0.467645i \(0.154897\pi\)
\(318\) 8217.38 + 1301.33i 1.44908 + 0.229481i
\(319\) −2437.83 + 4222.45i −0.427876 + 0.741103i
\(320\) 2852.56 0.498322
\(321\) −1319.85 + 8334.33i −0.229492 + 1.44915i
\(322\) −1515.73 + 2980.76i −0.262324 + 0.515874i
\(323\) 12860.2i 2.21535i
\(324\) −3446.27 2503.43i −0.590924 0.429258i
\(325\) −125.873 + 72.6730i −0.0214837 + 0.0124036i
\(326\) 9954.76i 1.69124i
\(327\) 4739.72 5853.31i 0.801551 0.989874i
\(328\) 1290.17 744.882i 0.217189 0.125394i
\(329\) −4237.01 + 8332.31i −0.710011 + 1.39628i
\(330\) −4090.33 + 5051.35i −0.682320 + 0.842630i
\(331\) −3376.70 5848.61i −0.560725 0.971204i −0.997433 0.0716012i \(-0.977189\pi\)
0.436708 0.899603i \(-0.356144\pi\)
\(332\) 2478.89 + 4293.57i 0.409780 + 0.709760i
\(333\) −471.647 2218.48i −0.0776159 0.365081i
\(334\) −8381.30 4838.95i −1.37307 0.792741i
\(335\) 4452.16 7711.36i 0.726111 1.25766i
\(336\) −7332.10 764.464i −1.19047 0.124122i
\(337\) −622.587 1078.35i −0.100636 0.174307i 0.811311 0.584615i \(-0.198755\pi\)
−0.911947 + 0.410308i \(0.865421\pi\)
\(338\) 8153.61i 1.31212i
\(339\) −1061.84 859.827i −0.170122 0.137756i
\(340\) 10196.5 1.62642
\(341\) −528.844 + 915.984i −0.0839838 + 0.145464i
\(342\) −7518.55 + 6770.29i −1.18876 + 1.07045i
\(343\) 6271.80 1009.02i 0.987304 0.158840i
\(344\) −2577.81 1488.30i −0.404030 0.233267i
\(345\) −3217.35 + 1235.10i −0.502077 + 0.192741i
\(346\) 5642.27 + 3257.56i 0.876677 + 0.506149i
\(347\) −8229.35 4751.22i −1.27313 0.735040i −0.297551 0.954706i \(-0.596170\pi\)
−0.975575 + 0.219666i \(0.929503\pi\)
\(348\) 4676.58 + 3786.86i 0.720376 + 0.583324i
\(349\) −3593.91 2074.94i −0.551225 0.318250i 0.198391 0.980123i \(-0.436428\pi\)
−0.749616 + 0.661873i \(0.769762\pi\)
\(350\) −3794.59 1929.56i −0.579512 0.294684i
\(351\) −329.618 + 17.2948i −0.0501244 + 0.00262999i
\(352\) 2715.97 4704.19i 0.411254 0.712313i
\(353\) 867.777 0.130842 0.0654208 0.997858i \(-0.479161\pi\)
0.0654208 + 0.997858i \(0.479161\pi\)
\(354\) 5634.16 2162.88i 0.845910 0.324734i
\(355\) 258.327i 0.0386214i
\(356\) −858.954 1487.75i −0.127878 0.221491i
\(357\) −12221.7 1274.26i −1.81188 0.188911i
\(358\) 7655.67 13260.0i 1.13021 1.95758i
\(359\) −1830.91 1057.08i −0.269170 0.155405i 0.359341 0.933206i \(-0.383002\pi\)
−0.628510 + 0.777801i \(0.716335\pi\)
\(360\) −1981.61 2200.62i −0.290111 0.322174i
\(361\) 1642.32 + 2844.59i 0.239441 + 0.414724i
\(362\) −5085.24 8807.89i −0.738326 1.27882i
\(363\) −1351.68 3521.03i −0.195440 0.509107i
\(364\) 213.407 138.835i 0.0307296 0.0199915i
\(365\) 7179.38 4145.02i 1.02955 0.594411i
\(366\) −10474.8 1658.83i −1.49598 0.236908i
\(367\) 313.168i 0.0445429i 0.999752 + 0.0222714i \(0.00708980\pi\)
−0.999752 + 0.0222714i \(0.992910\pi\)
\(368\) 3219.45 1858.75i 0.456048 0.263299i
\(369\) 4766.88 + 1548.64i 0.672504 + 0.218479i
\(370\) 4271.40i 0.600161i
\(371\) 7104.31 + 3612.56i 0.994171 + 0.505539i
\(372\) 1014.50 + 821.490i 0.141396 + 0.114495i
\(373\) 5407.56 0.750651 0.375326 0.926893i \(-0.377531\pi\)
0.375326 + 0.926893i \(0.377531\pi\)
\(374\) 5843.48 10121.2i 0.807912 1.39934i
\(375\) 1609.01 + 4191.36i 0.221571 + 0.577176i
\(376\) 3507.91 2025.29i 0.481134 0.277783i
\(377\) 466.294 0.0637012
\(378\) −5689.16 7816.10i −0.774125 1.06354i
\(379\) 793.227 0.107508 0.0537538 0.998554i \(-0.482881\pi\)
0.0537538 + 0.998554i \(0.482881\pi\)
\(380\) 6965.14 4021.33i 0.940275 0.542868i
\(381\) 686.814 + 1789.10i 0.0923532 + 0.240574i
\(382\) 391.382 677.893i 0.0524210 0.0907958i
\(383\) −10199.7 −1.36078 −0.680391 0.732849i \(-0.738190\pi\)
−0.680391 + 0.732849i \(0.738190\pi\)
\(384\) 3997.43 + 3236.92i 0.531232 + 0.430165i
\(385\) −5219.27 + 3395.46i −0.690905 + 0.449477i
\(386\) 3080.03i 0.406138i
\(387\) −2082.51 9795.49i −0.273540 1.28665i
\(388\) −5264.37 + 3039.38i −0.688809 + 0.397684i
\(389\) 9874.51i 1.28704i −0.765430 0.643519i \(-0.777474\pi\)
0.765430 0.643519i \(-0.222526\pi\)
\(390\) 613.966 + 97.2299i 0.0797164 + 0.0126242i
\(391\) 5366.42 3098.30i 0.694096 0.400736i
\(392\) −2516.50 1115.52i −0.324241 0.143731i
\(393\) −2054.32 5351.37i −0.263682 0.686872i
\(394\) −9244.52 16012.0i −1.18206 2.04739i
\(395\) −2975.48 5153.69i −0.379020 0.656481i
\(396\) 3796.11 807.051i 0.481722 0.102414i
\(397\) 9104.46 + 5256.46i 1.15098 + 0.664520i 0.949126 0.314896i \(-0.101970\pi\)
0.201856 + 0.979415i \(0.435303\pi\)
\(398\) 4285.17 7422.14i 0.539689 0.934769i
\(399\) −8851.06 + 3949.58i −1.11054 + 0.495554i
\(400\) 2366.24 + 4098.44i 0.295780 + 0.512306i
\(401\) 442.334i 0.0550850i 0.999621 + 0.0275425i \(0.00876816\pi\)
−0.999621 + 0.0275425i \(0.991232\pi\)
\(402\) −11759.3 + 4514.25i −1.45896 + 0.560076i
\(403\) 101.154 0.0125033
\(404\) 728.206 1261.29i 0.0896773 0.155326i
\(405\) 1040.61 9908.54i 0.127675 1.21570i
\(406\) 7447.52 + 11447.8i 0.910380 + 1.39937i
\(407\) 1789.61 + 1033.23i 0.217955 + 0.125836i
\(408\) 4138.09 + 3350.82i 0.502123 + 0.406594i
\(409\) 7096.76 + 4097.32i 0.857976 + 0.495353i 0.863334 0.504633i \(-0.168372\pi\)
−0.00535769 + 0.999986i \(0.501705\pi\)
\(410\) −8174.64 4719.63i −0.984675 0.568502i
\(411\) 6038.64 2318.16i 0.724730 0.278215i
\(412\) 3803.00 + 2195.66i 0.454759 + 0.262555i
\(413\) 5773.20 307.261i 0.687846 0.0366086i
\(414\) 4636.56 + 1506.30i 0.550422 + 0.178818i
\(415\) −5798.07 + 10042.6i −0.685822 + 1.18788i
\(416\) −519.493 −0.0612265
\(417\) −9315.86 7543.52i −1.09400 0.885870i
\(418\) 9218.26i 1.07866i
\(419\) 7956.71 + 13781.4i 0.927711 + 1.60684i 0.787142 + 0.616772i \(0.211560\pi\)
0.140569 + 0.990071i \(0.455107\pi\)
\(420\) 3131.52 + 7017.79i 0.363816 + 0.815317i
\(421\) −6044.72 + 10469.8i −0.699766 + 1.21203i 0.268781 + 0.963201i \(0.413379\pi\)
−0.968547 + 0.248829i \(0.919954\pi\)
\(422\) −9064.92 5233.64i −1.04567 0.603719i
\(423\) 12960.9 + 4210.65i 1.48978 + 0.483993i
\(424\) −1726.81 2990.92i −0.197786 0.342575i
\(425\) 3944.22 + 6831.59i 0.450171 + 0.779719i
\(426\) −229.967 + 283.997i −0.0261547 + 0.0322997i
\(427\) −9055.98 4604.99i −1.02635 0.521900i
\(428\) −8217.44 + 4744.34i −0.928049 + 0.535809i
\(429\) 189.252 233.717i 0.0212988 0.0263029i
\(430\) 18860.0i 2.11514i
\(431\) −7013.76 + 4049.40i −0.783854 + 0.452558i −0.837794 0.545986i \(-0.816155\pi\)
0.0539405 + 0.998544i \(0.482822\pi\)
\(432\) 563.119 + 10732.4i 0.0627154 + 1.19528i
\(433\) 760.926i 0.0844522i 0.999108 + 0.0422261i \(0.0134450\pi\)
−0.999108 + 0.0422261i \(0.986555\pi\)
\(434\) 1615.60 + 2483.40i 0.178690 + 0.274670i
\(435\) −2201.51 + 13901.6i −0.242653 + 1.53226i
\(436\) 8469.31 0.930290
\(437\) 2443.83 4232.84i 0.267516 0.463351i
\(438\) −11582.7 1834.28i −1.26357 0.200104i
\(439\) −2287.15 + 1320.49i −0.248656 + 0.143561i −0.619149 0.785274i \(-0.712522\pi\)
0.370493 + 0.928835i \(0.379189\pi\)
\(440\) 2698.11 0.292335
\(441\) −2876.47 8802.96i −0.310600 0.950541i
\(442\) −1117.70 −0.120280
\(443\) −5656.04 + 3265.52i −0.606606 + 0.350224i −0.771636 0.636064i \(-0.780561\pi\)
0.165030 + 0.986289i \(0.447228\pi\)
\(444\) 1604.99 1982.08i 0.171553 0.211859i
\(445\) 2009.07 3479.82i 0.214021 0.370695i
\(446\) 15706.2 1.66752
\(447\) −1606.47 + 616.704i −0.169985 + 0.0652553i
\(448\) −2108.00 3240.26i −0.222307 0.341715i
\(449\) 6932.75i 0.728678i −0.931266 0.364339i \(-0.881295\pi\)
0.931266 0.364339i \(-0.118705\pi\)
\(450\) −1917.56 + 5902.46i −0.200877 + 0.618321i
\(451\) −3954.81 + 2283.31i −0.412915 + 0.238396i
\(452\) 1536.41i 0.159882i
\(453\) −3406.85 8874.61i −0.353351 0.920454i
\(454\) −4008.49 + 2314.31i −0.414379 + 0.239242i
\(455\) 530.803 + 269.915i 0.0546910 + 0.0278106i
\(456\) 4148.20 + 656.923i 0.426003 + 0.0674633i
\(457\) 7295.74 + 12636.6i 0.746784 + 1.29347i 0.949356 + 0.314201i \(0.101737\pi\)
−0.202572 + 0.979267i \(0.564930\pi\)
\(458\) 8700.75 + 15070.1i 0.887684 + 1.53751i
\(459\) 938.648 + 17889.5i 0.0954517 + 1.81919i
\(460\) −3356.12 1937.66i −0.340174 0.196399i
\(461\) 5053.02 8752.08i 0.510504 0.884219i −0.489422 0.872047i \(-0.662792\pi\)
0.999926 0.0121719i \(-0.00387455\pi\)
\(462\) 8760.58 + 913.402i 0.882206 + 0.0919812i
\(463\) −8356.28 14473.5i −0.838768 1.45279i −0.890925 0.454150i \(-0.849943\pi\)
0.0521577 0.998639i \(-0.483390\pi\)
\(464\) 15182.6i 1.51904i
\(465\) −477.577 + 3015.70i −0.0476282 + 0.300752i
\(466\) 2799.39 0.278282
\(467\) −1460.16 + 2529.07i −0.144685 + 0.250602i −0.929256 0.369438i \(-0.879550\pi\)
0.784570 + 0.620040i \(0.212884\pi\)
\(468\) −248.367 275.817i −0.0245316 0.0272428i
\(469\) −12049.5 + 641.299i −1.18634 + 0.0631395i
\(470\) −22226.4 12832.4i −2.18133 1.25939i
\(471\) 35.3259 223.069i 0.00345591 0.0218226i
\(472\) −2169.57 1252.60i −0.211573 0.122152i
\(473\) 7901.85 + 4562.14i 0.768134 + 0.443483i
\(474\) −1316.73 + 8314.62i −0.127594 + 0.805702i
\(475\) 5388.51 + 3111.06i 0.520509 + 0.300516i
\(476\) −7535.05 11582.4i −0.725564 1.11529i
\(477\) 3590.09 11050.7i 0.344610 1.06075i
\(478\) −3868.21 + 6699.94i −0.370142 + 0.641105i
\(479\) −6295.02 −0.600474 −0.300237 0.953865i \(-0.597066\pi\)
−0.300237 + 0.953865i \(0.597066\pi\)
\(480\) 2452.68 15487.6i 0.233227 1.47273i
\(481\) 197.630i 0.0187342i
\(482\) 7267.02 + 12586.9i 0.686730 + 1.18945i
\(483\) 3780.54 + 2741.92i 0.356150 + 0.258305i
\(484\) 2120.54 3672.89i 0.199149 0.344937i
\(485\) −12313.2 7109.05i −1.15281 0.665578i
\(486\) −9964.73 + 9966.77i −0.930061 + 0.930251i
\(487\) 2731.42 + 4730.96i 0.254153 + 0.440206i 0.964665 0.263479i \(-0.0848700\pi\)
−0.710512 + 0.703685i \(0.751537\pi\)
\(488\) 2201.19 + 3812.57i 0.204187 + 0.353662i
\(489\) 13731.5 + 2174.57i 1.26986 + 0.201099i
\(490\) 1851.26 + 17342.6i 0.170676 + 1.59889i
\(491\) 3732.70 2155.07i 0.343084 0.198080i −0.318551 0.947906i \(-0.603196\pi\)
0.661635 + 0.749826i \(0.269863\pi\)
\(492\) 2019.90 + 5261.71i 0.185090 + 0.482147i
\(493\) 25307.4i 2.31194i
\(494\) −763.493 + 440.803i −0.0695368 + 0.0401471i
\(495\) 6074.28 + 6745.62i 0.551553 + 0.612511i
\(496\) 3293.58i 0.298157i
\(497\) −293.437 + 190.899i −0.0264838 + 0.0172294i
\(498\) 15314.2 5878.95i 1.37801 0.529000i
\(499\) 18031.2 1.61761 0.808804 0.588079i \(-0.200115\pi\)
0.808804 + 0.588079i \(0.200115\pi\)
\(500\) −2524.26 + 4372.14i −0.225776 + 0.391056i
\(501\) −8505.66 + 10504.1i −0.758493 + 0.936700i
\(502\) −6047.97 + 3491.80i −0.537717 + 0.310451i
\(503\) −8764.80 −0.776945 −0.388472 0.921460i \(-0.626997\pi\)
−0.388472 + 0.921460i \(0.626997\pi\)
\(504\) −1035.34 + 3877.15i −0.0915031 + 0.342663i
\(505\) 3406.51 0.300174
\(506\) −3846.69 + 2220.89i −0.337957 + 0.195119i
\(507\) 11247.0 + 1781.12i 0.985203 + 0.156020i
\(508\) −1077.49 + 1866.27i −0.0941062 + 0.162997i
\(509\) −1516.12 −0.132025 −0.0660125 0.997819i \(-0.521028\pi\)
−0.0660125 + 0.997819i \(0.521028\pi\)
\(510\) 5277.01 33322.1i 0.458176 2.89319i
\(511\) −10013.8 5092.06i −0.866899 0.440821i
\(512\) 11996.6i 1.03551i
\(513\) 7696.49 + 11850.0i 0.662394 + 1.01986i
\(514\) 17083.1 9862.93i 1.46596 0.846372i
\(515\) 10271.2i 0.878842i
\(516\) 7086.68 8751.69i 0.604600 0.746650i
\(517\) −10752.9 + 6208.18i −0.914722 + 0.528115i
\(518\) 4851.94 3156.49i 0.411549 0.267738i
\(519\) 5725.98 7071.30i 0.484283 0.598064i
\(520\) −129.019 223.468i −0.0108805 0.0188456i
\(521\) 2984.80 + 5169.82i 0.250991 + 0.434729i 0.963799 0.266630i \(-0.0859102\pi\)
−0.712808 + 0.701359i \(0.752577\pi\)
\(522\) 14795.7 13323.2i 1.24059 1.11713i
\(523\) −10006.2 5777.11i −0.836601 0.483012i 0.0195064 0.999810i \(-0.493791\pi\)
−0.856107 + 0.516798i \(0.827124\pi\)
\(524\) 3222.87 5582.18i 0.268687 0.465379i
\(525\) −3490.53 + 4812.72i −0.290170 + 0.400084i
\(526\) −3084.86 5343.13i −0.255715 0.442912i
\(527\) 5489.98i 0.453790i
\(528\) −7609.83 6162.06i −0.627226 0.507897i
\(529\) 9811.90 0.806436
\(530\) −10941.2 + 18950.7i −0.896706 + 1.55314i
\(531\) −1752.71 8244.19i −0.143241 0.673761i
\(532\) −9715.00 4940.11i −0.791727 0.402596i
\(533\) 378.225 + 218.368i 0.0307369 + 0.0177459i
\(534\) −5306.49 + 2037.09i −0.430027 + 0.165082i
\(535\) −19220.4 11096.9i −1.55321 0.896749i
\(536\) 4528.20 + 2614.36i 0.364904 + 0.210678i
\(537\) −16618.4 13456.8i −1.33545 1.08138i
\(538\) −12268.4 7083.16i −0.983137 0.567615i
\(539\) 7713.90 + 3419.45i 0.616440 + 0.273258i
\(540\) 9395.55 6102.36i 0.748741 0.486303i
\(541\) 11902.5 20615.7i 0.945891 1.63833i 0.191935 0.981408i \(-0.438524\pi\)
0.753957 0.656924i \(-0.228143\pi\)
\(542\) 10787.7 0.854927
\(543\) −13260.4 + 5090.49i −1.04799 + 0.402309i
\(544\) 28194.7i 2.22213i
\(545\) 9904.76 + 17155.5i 0.778483 + 1.34837i
\(546\) −343.266 769.264i −0.0269055 0.0602957i
\(547\) −6766.49 + 11719.9i −0.528911 + 0.916100i 0.470521 + 0.882389i \(0.344066\pi\)
−0.999432 + 0.0337115i \(0.989267\pi\)
\(548\) 6299.09 + 3636.78i 0.491029 + 0.283495i
\(549\) −4576.35 + 14086.5i −0.355763 + 1.09508i
\(550\) −2827.24 4896.93i −0.219189 0.379647i
\(551\) −9980.79 17287.2i −0.771681 1.33659i
\(552\) −725.267 1889.27i −0.0559228 0.145675i
\(553\) −3655.31 + 7188.38i −0.281084 + 0.552768i
\(554\) −14093.8 + 8137.03i −1.08084 + 0.624024i
\(555\) 5891.94 + 933.068i 0.450628 + 0.0713631i
\(556\) 13479.4i 1.02815i
\(557\) 11739.1 6777.54i 0.892997 0.515572i 0.0180757 0.999837i \(-0.494246\pi\)
0.874922 + 0.484264i \(0.160913\pi\)
\(558\) 3209.65 2890.22i 0.243504 0.219270i
\(559\) 872.617i 0.0660246i
\(560\) 8788.45 17283.0i 0.663178 1.30418i
\(561\) −12684.6 10271.4i −0.954626 0.773009i
\(562\) 8207.09 0.616005
\(563\) 4932.58 8543.48i 0.369242 0.639546i −0.620205 0.784440i \(-0.712951\pi\)
0.989447 + 0.144893i \(0.0462839\pi\)
\(564\) 5492.00 + 14306.3i 0.410026 + 1.06809i
\(565\) 3112.17 1796.81i 0.231734 0.133792i
\(566\) −20640.7 −1.53285
\(567\) −12024.2 + 6140.20i −0.890600 + 0.454787i
\(568\) 151.693 0.0112058
\(569\) −5423.06 + 3131.01i −0.399555 + 0.230683i −0.686292 0.727326i \(-0.740763\pi\)
0.286737 + 0.958009i \(0.407429\pi\)
\(570\) −9536.98 24843.2i −0.700807 1.82555i
\(571\) 5050.17 8747.14i 0.370128 0.641080i −0.619457 0.785030i \(-0.712647\pi\)
0.989585 + 0.143951i \(0.0459806\pi\)
\(572\) 338.171 0.0247196
\(573\) −849.584 687.951i −0.0619405 0.0501563i
\(574\) 679.827 + 12773.4i 0.0494345 + 0.928836i
\(575\) 2998.10i 0.217442i
\(576\) −4187.86 + 3771.08i −0.302942 + 0.272792i
\(577\) 15135.0 8738.22i 1.09199 0.630462i 0.157886 0.987457i \(-0.449532\pi\)
0.934106 + 0.356995i \(0.116199\pi\)
\(578\) 42382.3i 3.04995i
\(579\) 4248.57 + 672.818i 0.304947 + 0.0482925i
\(580\) −13706.6 + 7913.53i −0.981271 + 0.566537i
\(581\) 15692.2 835.169i 1.12052 0.0596362i
\(582\) 7208.20 + 18776.9i 0.513384 + 1.33733i
\(583\) 5293.23 + 9168.14i 0.376026 + 0.651296i
\(584\) 2434.00 + 4215.82i 0.172465 + 0.298719i
\(585\) 268.236 825.661i 0.0189576 0.0583536i
\(586\) −2140.62 1235.89i −0.150901 0.0871228i
\(587\) −3676.64 + 6368.12i −0.258520 + 0.447769i −0.965846 0.259118i \(-0.916568\pi\)
0.707326 + 0.706888i \(0.249901\pi\)
\(588\) 5657.46 8743.17i 0.396785 0.613201i
\(589\) −2165.15 3750.15i −0.151466 0.262347i
\(590\) 15873.2i 1.10761i
\(591\) −24106.2 + 9254.07i −1.67783 + 0.644097i
\(592\) −6434.84 −0.446740
\(593\) −4475.21 + 7751.29i −0.309907 + 0.536775i −0.978342 0.206996i \(-0.933631\pi\)
0.668435 + 0.743771i \(0.266965\pi\)
\(594\) −672.829 12823.3i −0.0464756 0.885770i
\(595\) 14649.2 28808.5i 1.00934 1.98493i
\(596\) −1675.76 967.500i −0.115171 0.0664939i
\(597\) −9301.96 7532.26i −0.637695 0.516373i
\(598\) 367.885 + 212.399i 0.0251571 + 0.0145245i
\(599\) −10867.6 6274.41i −0.741298 0.427989i 0.0812428 0.996694i \(-0.474111\pi\)
−0.822541 + 0.568705i \(0.807444\pi\)
\(600\) 2405.09 923.283i 0.163645 0.0628214i
\(601\) −8672.73 5007.20i −0.588632 0.339847i 0.175924 0.984404i \(-0.443709\pi\)
−0.764556 + 0.644557i \(0.777042\pi\)
\(602\) 21423.3 13937.2i 1.45041 0.943585i
\(603\) 3658.16 + 17206.8i 0.247051 + 1.16205i
\(604\) 5344.75 9257.38i 0.360058 0.623638i
\(605\) 9919.80 0.666607
\(606\) −3745.01 3032.53i −0.251041 0.203280i
\(607\) 888.512i 0.0594128i −0.999559 0.0297064i \(-0.990543\pi\)
0.999559 0.0297064i \(-0.00945723\pi\)
\(608\) 11119.5 + 19259.5i 0.741702 + 1.28467i
\(609\) 17417.9 7772.33i 1.15896 0.517160i
\(610\) 13946.9 24156.7i 0.925727 1.60341i
\(611\) 1028.37 + 593.731i 0.0680908 + 0.0393122i
\(612\) −14969.6 + 13479.8i −0.988740 + 0.890338i
\(613\) −6545.70 11337.5i −0.431286 0.747009i 0.565698 0.824612i \(-0.308607\pi\)
−0.996984 + 0.0776029i \(0.975273\pi\)
\(614\) −6271.43 10862.4i −0.412206 0.713961i
\(615\) −8295.93 + 10245.0i −0.543942 + 0.671740i
\(616\) −1993.86 3064.82i −0.130414 0.200463i
\(617\) −7968.85 + 4600.82i −0.519957 + 0.300198i −0.736917 0.675983i \(-0.763719\pi\)
0.216960 + 0.976181i \(0.430386\pi\)
\(618\) 9143.58 11291.8i 0.595159 0.734991i
\(619\) 1680.56i 0.109123i −0.998510 0.0545617i \(-0.982624\pi\)
0.998510 0.0545617i \(-0.0173762\pi\)
\(620\) −2973.40 + 1716.70i −0.192605 + 0.111200i
\(621\) 3090.61 6066.59i 0.199713 0.392019i
\(622\) 18444.5i 1.18900i
\(623\) −5437.44 + 289.392i −0.349673 + 0.0186103i
\(624\) −146.476 + 924.936i −0.00939702 + 0.0593383i
\(625\) −19530.7 −1.24997
\(626\) 14698.3 25458.2i 0.938439 1.62542i
\(627\) −12715.6 2013.69i −0.809907 0.128260i
\(628\) 219.940 126.982i 0.0139754 0.00806871i
\(629\) −10726.1 −0.679930
\(630\) 24554.7 6601.87i 1.55283 0.417499i
\(631\) −341.784 −0.0215629 −0.0107815 0.999942i \(-0.503432\pi\)
−0.0107815 + 0.999942i \(0.503432\pi\)
\(632\) 3026.31 1747.24i 0.190475 0.109971i
\(633\) −9199.42 + 11360.8i −0.577637 + 0.713352i
\(634\) 11164.7 19337.9i 0.699381 1.21136i
\(635\) −5040.45 −0.314999
\(636\) 12197.8 4682.60i 0.760496 0.291945i
\(637\) −85.6542 802.408i −0.00532770 0.0499098i
\(638\) 18140.5i 1.12569i
\(639\) 341.508 + 379.252i 0.0211422 + 0.0234788i
\(640\) −11716.1 + 6764.31i −0.723626 + 0.417786i
\(641\) 4447.36i 0.274041i −0.990568 0.137020i \(-0.956247\pi\)
0.990568 0.137020i \(-0.0437526\pi\)
\(642\) 11251.7 + 29309.8i 0.691695 + 1.80182i
\(643\) −3417.70 + 1973.21i −0.209612 + 0.121020i −0.601131 0.799150i \(-0.705283\pi\)
0.391519 + 0.920170i \(0.371950\pi\)
\(644\) 279.105 + 5244.16i 0.0170781 + 0.320883i
\(645\) 26015.3 + 4119.88i 1.58814 + 0.251504i
\(646\) 23923.9 + 41437.4i 1.45708 + 2.52374i
\(647\) 815.600 + 1412.66i 0.0495588 + 0.0858384i 0.889741 0.456466i \(-0.150885\pi\)
−0.840182 + 0.542305i \(0.817552\pi\)
\(648\) 5818.42 + 611.060i 0.352730 + 0.0370443i
\(649\) 6650.44 + 3839.63i 0.402238 + 0.232232i
\(650\) −270.389 + 468.327i −0.0163162 + 0.0282605i
\(651\) 3778.50 1686.06i 0.227482 0.101509i
\(652\) 7816.70 + 13538.9i 0.469518 + 0.813229i
\(653\) 10643.9i 0.637868i 0.947777 + 0.318934i \(0.103325\pi\)
−0.947777 + 0.318934i \(0.896675\pi\)
\(654\) 4383.12 27677.6i 0.262070 1.65486i
\(655\) 15076.4 0.899367
\(656\) 7110.10 12315.0i 0.423175 0.732960i
\(657\) −5060.39 + 15576.4i −0.300494 + 0.924954i
\(658\) 1848.41 + 34730.1i 0.109511 + 2.05763i
\(659\) 23.4141 + 13.5182i 0.00138404 + 0.000799079i 0.500692 0.865626i \(-0.333079\pi\)
−0.499308 + 0.866425i \(0.666412\pi\)
\(660\) −1596.60 + 10081.9i −0.0941632 + 0.594602i
\(661\) 6718.09 + 3878.69i 0.395315 + 0.228235i 0.684461 0.729050i \(-0.260038\pi\)
−0.289145 + 0.957285i \(0.593371\pi\)
\(662\) −21760.5 12563.4i −1.27756 0.737600i
\(663\) −244.157 + 1541.75i −0.0143021 + 0.0903117i
\(664\) −5897.11 3404.70i −0.344657 0.198988i
\(665\) −1354.83 25456.2i −0.0790047 1.48444i
\(666\) −5646.78 6270.87i −0.328541 0.364852i
\(667\) −4809.19 + 8329.77i −0.279180 + 0.483553i
\(668\) −15198.6 −0.880317
\(669\) 3430.95 21665.1i 0.198279 1.25205i
\(670\) 33129.6i 1.91031i
\(671\) −6747.36 11686.8i −0.388195 0.672374i
\(672\) −19405.1 + 8659.07i −1.11394 + 0.497070i
\(673\) −16598.3 + 28749.0i −0.950693 + 1.64665i −0.206762 + 0.978391i \(0.566293\pi\)
−0.743931 + 0.668257i \(0.767041\pi\)
\(674\) −4012.14 2316.41i −0.229291 0.132381i
\(675\) 7722.92 + 3934.43i 0.440378 + 0.224350i
\(676\) 6402.40 + 11089.3i 0.364270 + 0.630933i
\(677\) 5465.98 + 9467.36i 0.310303 + 0.537460i 0.978428 0.206589i \(-0.0662363\pi\)
−0.668125 + 0.744049i \(0.732903\pi\)
\(678\) −5020.96 795.137i −0.284408 0.0450399i
\(679\) 1024.00 + 19240.2i 0.0578758 + 1.08744i
\(680\) −12128.4 + 7002.33i −0.683975 + 0.394893i
\(681\) 2316.70 + 6034.83i 0.130361 + 0.339582i
\(682\) 3935.26i 0.220951i
\(683\) −12991.1 + 7500.40i −0.727804 + 0.420198i −0.817618 0.575761i \(-0.804706\pi\)
0.0898144 + 0.995959i \(0.471373\pi\)
\(684\) −4909.38 + 15111.6i −0.274437 + 0.844748i
\(685\) 17012.7i 0.948936i
\(686\) 18331.6 14918.7i 1.02027 0.830320i
\(687\) 22688.3 8709.74i 1.25999 0.483693i
\(688\) −28412.5 −1.57444
\(689\) 506.228 876.812i 0.0279909 0.0484817i
\(690\) −8069.13 + 9964.97i −0.445198 + 0.549797i
\(691\) 917.610 529.782i 0.0505174 0.0291662i −0.474529 0.880240i \(-0.657381\pi\)
0.525046 + 0.851074i \(0.324048\pi\)
\(692\) 10231.6 0.562065
\(693\) 3173.65 11884.7i 0.173964 0.651464i
\(694\) −35355.0 −1.93380
\(695\) 27304.0 15764.0i 1.49021 0.860376i
\(696\) −8163.20 1292.75i −0.444576 0.0704047i
\(697\) 11851.6 20527.6i 0.644063 1.11555i
\(698\) −15440.2 −0.837276
\(699\) 611.514 3861.46i 0.0330896 0.208947i
\(700\) −6675.94 + 355.307i −0.360467 + 0.0191848i
\(701\) 21617.3i 1.16473i −0.812928 0.582365i \(-0.802128\pi\)
0.812928 0.582365i \(-0.197872\pi\)
\(702\) −1029.90 + 668.918i −0.0553721 + 0.0359639i
\(703\) −7326.87 + 4230.17i −0.393084 + 0.226947i
\(704\) 5134.61i 0.274883i
\(705\) −22556.1 + 27855.7i −1.20498 + 1.48809i
\(706\) 2796.11 1614.34i 0.149055 0.0860571i
\(707\) −2517.35 3869.50i −0.133911 0.205838i
\(708\) 5964.37 7365.69i 0.316603 0.390988i
\(709\) 12533.3 + 21708.3i 0.663889 + 1.14989i 0.979585 + 0.201029i \(0.0644287\pi\)
−0.315696 + 0.948860i \(0.602238\pi\)
\(710\) −480.569 832.370i −0.0254020 0.0439976i
\(711\) 11181.5 + 3632.58i 0.589786 + 0.191607i
\(712\) 2043.39 + 1179.75i 0.107555 + 0.0620970i
\(713\) −1043.27 + 1806.99i −0.0547975 + 0.0949121i
\(714\) −41750.6 + 18630.2i −2.18835 + 0.976497i
\(715\) 395.487 + 685.003i 0.0206858 + 0.0358289i
\(716\) 24045.6i 1.25507i
\(717\) 8396.85 + 6799.35i 0.437359 + 0.354151i
\(718\) −7865.98 −0.408852
\(719\) 1208.60 2093.36i 0.0626888 0.108580i −0.832978 0.553307i \(-0.813366\pi\)
0.895666 + 0.444726i \(0.146699\pi\)
\(720\) −26883.6 8733.79i −1.39152 0.452068i
\(721\) 11667.2 7590.25i 0.602648 0.392061i
\(722\) 10583.6 + 6110.47i 0.545544 + 0.314970i
\(723\) 18949.7 7274.53i 0.974751 0.374195i
\(724\) −13832.3 7986.09i −0.710046 0.409946i
\(725\) −10604.0 6122.22i −0.543204 0.313619i
\(726\) −10905.5 8830.74i −0.557495 0.451432i
\(727\) 3918.13 + 2262.13i 0.199884 + 0.115403i 0.596601 0.802538i \(-0.296517\pi\)
−0.396718 + 0.917941i \(0.629851\pi\)
\(728\) −158.497 + 311.694i −0.00806909 + 0.0158683i
\(729\) 11571.3 + 15922.5i 0.587884 + 0.808945i
\(730\) 15422.0 26711.8i 0.781912 1.35431i
\(731\) −47360.0 −2.39627
\(732\) −15548.8 + 5968.98i −0.785109 + 0.301393i
\(733\) 29532.8i 1.48816i 0.668091 + 0.744080i \(0.267112\pi\)
−0.668091 + 0.744080i \(0.732888\pi\)
\(734\) 582.590 + 1009.08i 0.0292967 + 0.0507434i
\(735\) 24326.6 + 1234.79i 1.22082 + 0.0619674i
\(736\) 5357.87 9280.11i 0.268334 0.464768i
\(737\) −13880.4 8013.87i −0.693748 0.400536i
\(738\) 18240.6 3877.93i 0.909816 0.193426i
\(739\) 11492.3 + 19905.2i 0.572057 + 0.990832i 0.996355 + 0.0853088i \(0.0271877\pi\)
−0.424298 + 0.905523i \(0.639479\pi\)
\(740\) 3354.00 + 5809.30i 0.166616 + 0.288587i
\(741\) 441.258 + 1149.45i 0.0218759 + 0.0569851i
\(742\) 29611.7 1575.99i 1.46507 0.0779738i
\(743\) 12127.5 7001.83i 0.598810 0.345723i −0.169763 0.985485i \(-0.554300\pi\)
0.768573 + 0.639762i \(0.220967\pi\)
\(744\) −1770.86 280.439i −0.0872618 0.0138191i
\(745\) 4525.92i 0.222573i
\(746\) 17424.0 10059.8i 0.855145 0.493718i
\(747\) −4764.04 22408.6i −0.233343 1.09757i
\(748\) 18353.7i 0.897164i
\(749\) 1598.42 + 30033.1i 0.0779775 + 1.46513i
\(750\) 12981.7 + 10512.0i 0.632034 + 0.511790i
\(751\) 27991.2 1.36007 0.680036 0.733178i \(-0.261964\pi\)
0.680036 + 0.733178i \(0.261964\pi\)
\(752\) 19331.9 33483.9i 0.937451 1.62371i
\(753\) 3495.40 + 9105.28i 0.169163 + 0.440657i
\(754\) 1502.47 867.451i 0.0725686 0.0418975i
\(755\) 25002.5 1.20521
\(756\) −13874.9 6162.99i −0.667494 0.296489i
\(757\) 32553.0 1.56296 0.781479 0.623932i \(-0.214466\pi\)
0.781479 + 0.623932i \(0.214466\pi\)
\(758\) 2555.90 1475.65i 0.122473 0.0707098i
\(759\) 2223.18 + 5791.23i 0.106319 + 0.276954i
\(760\) −5523.19 + 9566.45i −0.263615 + 0.456594i
\(761\) 14891.4 0.709347 0.354674 0.934990i \(-0.384592\pi\)
0.354674 + 0.934990i \(0.384592\pi\)
\(762\) 5541.31 + 4487.08i 0.263439 + 0.213320i
\(763\) 12167.8 23928.6i 0.577330 1.13535i
\(764\) 1229.29i 0.0582121i
\(765\) −44811.5 14558.1i −2.11786 0.688039i
\(766\) −32864.9 + 18974.6i −1.55021 + 0.895012i
\(767\) 734.421i 0.0345742i
\(768\) 27471.7 + 4350.52i 1.29075 + 0.204408i
\(769\) 6873.39 3968.36i 0.322316 0.186089i −0.330108 0.943943i \(-0.607085\pi\)
0.652424 + 0.757854i \(0.273752\pi\)
\(770\) −10500.7 + 20650.2i −0.491452 + 0.966468i
\(771\) −9873.12 25718.8i −0.461182 1.20135i
\(772\) 2418.51 + 4188.98i 0.112751 + 0.195291i
\(773\) 8421.63 + 14586.7i 0.391856 + 0.678715i 0.992694