Properties

Label 63.4.g.a.4.10
Level $63$
Weight $4$
Character 63.4
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.g (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 4.10
Character \(\chi\) \(=\) 63.4
Dual form 63.4.g.a.16.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.491847 + 0.851904i) q^{2} +(-0.512079 + 5.17086i) q^{3} +(3.51617 + 6.09019i) q^{4} -18.7142 q^{5} +(-4.15321 - 2.97951i) q^{6} +(10.0203 - 15.5754i) q^{7} -14.7872 q^{8} +(-26.4756 - 5.29577i) q^{9} +O(q^{10})\) \(q+(-0.491847 + 0.851904i) q^{2} +(-0.512079 + 5.17086i) q^{3} +(3.51617 + 6.09019i) q^{4} -18.7142 q^{5} +(-4.15321 - 2.97951i) q^{6} +(10.0203 - 15.5754i) q^{7} -14.7872 q^{8} +(-26.4756 - 5.29577i) q^{9} +(9.20454 - 15.9427i) q^{10} +23.4959 q^{11} +(-33.2921 + 15.0630i) q^{12} +(-23.8730 + 41.3493i) q^{13} +(8.34030 + 16.1971i) q^{14} +(9.58316 - 96.7686i) q^{15} +(-20.8563 + 36.1242i) q^{16} +(-47.7799 + 82.7573i) q^{17} +(17.5334 - 19.9499i) q^{18} +(28.4637 + 49.3006i) q^{19} +(-65.8024 - 113.973i) q^{20} +(75.4071 + 59.7894i) q^{21} +(-11.5564 + 20.0163i) q^{22} +32.6236 q^{23} +(7.57223 - 76.4627i) q^{24} +225.222 q^{25} +(-23.4838 - 40.6751i) q^{26} +(40.9413 - 134.189i) q^{27} +(130.090 + 6.25972i) q^{28} +(81.3794 + 140.953i) q^{29} +(77.7241 + 55.7593i) q^{30} +(20.2272 + 35.0345i) q^{31} +(-79.6652 - 137.984i) q^{32} +(-12.0318 + 121.494i) q^{33} +(-47.0009 - 81.4079i) q^{34} +(-187.522 + 291.482i) q^{35} +(-60.8403 - 179.862i) q^{36} +(-127.944 - 221.605i) q^{37} -55.9992 q^{38} +(-201.587 - 144.618i) q^{39} +276.732 q^{40} +(-35.9678 + 62.2981i) q^{41} +(-88.0236 + 34.8323i) q^{42} +(237.322 + 411.054i) q^{43} +(82.6156 + 143.094i) q^{44} +(495.469 + 99.1063i) q^{45} +(-16.0458 + 27.7921i) q^{46} +(132.436 - 229.386i) q^{47} +(-176.113 - 126.344i) q^{48} +(-142.187 - 312.141i) q^{49} +(-110.775 + 191.868i) q^{50} +(-403.459 - 289.442i) q^{51} -335.767 q^{52} +(13.1765 - 22.8223i) q^{53} +(94.1797 + 100.879i) q^{54} -439.708 q^{55} +(-148.173 + 230.317i) q^{56} +(-269.502 + 121.936i) q^{57} -160.105 q^{58} +(-19.5670 - 33.8910i) q^{59} +(623.035 - 281.892i) q^{60} +(-210.807 + 365.129i) q^{61} -39.7947 q^{62} +(-347.777 + 359.302i) q^{63} -176.969 q^{64} +(446.765 - 773.820i) q^{65} +(-97.5834 - 70.0064i) q^{66} +(184.717 + 319.939i) q^{67} -672.010 q^{68} +(-16.7058 + 168.692i) q^{69} +(-156.082 - 303.115i) q^{70} +685.628 q^{71} +(391.500 + 78.3098i) q^{72} +(113.553 - 196.679i) q^{73} +251.715 q^{74} +(-115.331 + 1164.59i) q^{75} +(-200.167 + 346.699i) q^{76} +(235.436 - 365.958i) q^{77} +(222.351 - 100.602i) q^{78} +(343.364 - 594.725i) q^{79} +(390.310 - 676.037i) q^{80} +(672.910 + 280.417i) q^{81} +(-35.3813 - 61.2823i) q^{82} +(-49.0800 - 85.0091i) q^{83} +(-98.9846 + 669.473i) q^{84} +(894.165 - 1548.74i) q^{85} -466.905 q^{86} +(-770.522 + 348.622i) q^{87} -347.439 q^{88} +(529.104 + 916.436i) q^{89} +(-328.124 + 373.347i) q^{90} +(404.818 + 786.165i) q^{91} +(114.710 + 198.684i) q^{92} +(-191.516 + 86.6513i) q^{93} +(130.277 + 225.646i) q^{94} +(-532.677 - 922.623i) q^{95} +(754.291 - 341.279i) q^{96} +(-706.073 - 1222.95i) q^{97} +(335.848 + 32.3959i) q^{98} +(-622.067 - 124.429i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q + q^{2} - q^{3} - 79q^{4} + 38q^{5} - 20q^{6} - 7q^{7} - 24q^{8} - 31q^{9} + O(q^{10}) \) \( 44q + q^{2} - q^{3} - 79q^{4} + 38q^{5} - 20q^{6} - 7q^{7} - 24q^{8} - 31q^{9} - 18q^{10} - 10q^{11} - 41q^{12} - 14q^{13} - 79q^{14} + 119q^{15} - 247q^{16} - 162q^{17} + 157q^{18} + 58q^{19} - 362q^{20} + 166q^{21} - 18q^{22} + 186q^{23} + 414q^{24} + 698q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 616q^{30} + 61q^{31} - 163q^{32} + 23q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} + 1522q^{38} - 565q^{39} + 36q^{40} - 692q^{41} + 395q^{42} - 86q^{43} - 443q^{44} - 1483q^{45} - 270q^{46} - 1005q^{47} - 1013q^{48} - 277q^{49} + 239q^{50} - 1719q^{51} + 670q^{52} + 258q^{53} + 910q^{54} - 870q^{55} + 714q^{56} + 566q^{57} - 474q^{58} - 1665q^{59} + 4q^{60} + 439q^{61} + 1812q^{62} + 493q^{63} + 872q^{64} - 613q^{65} + 3073q^{66} + 295q^{67} + 2748q^{68} + 1389q^{69} - 1044q^{70} + 636q^{71} + 981q^{72} - 338q^{73} - 2238q^{74} - 1064q^{75} + 1006q^{76} - 2909q^{77} + 157q^{78} + 133q^{79} - 4817q^{80} + 1325q^{81} + 6q^{82} - 1356q^{83} - 7081q^{84} + 483q^{85} + 6686q^{86} + 2774q^{87} - 738q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} + 4365q^{93} - 1191q^{94} + 3083q^{95} - 1468q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.491847 + 0.851904i −0.173894 + 0.301194i −0.939778 0.341785i \(-0.888968\pi\)
0.765884 + 0.642979i \(0.222302\pi\)
\(3\) −0.512079 + 5.17086i −0.0985496 + 0.995132i
\(4\) 3.51617 + 6.09019i 0.439522 + 0.761274i
\(5\) −18.7142 −1.67385 −0.836926 0.547317i \(-0.815649\pi\)
−0.836926 + 0.547317i \(0.815649\pi\)
\(6\) −4.15321 2.97951i −0.282590 0.202730i
\(7\) 10.0203 15.5754i 0.541046 0.840993i
\(8\) −14.7872 −0.653510
\(9\) −26.4756 5.29577i −0.980576 0.196140i
\(10\) 9.20454 15.9427i 0.291073 0.504153i
\(11\) 23.4959 0.644025 0.322013 0.946735i \(-0.395641\pi\)
0.322013 + 0.946735i \(0.395641\pi\)
\(12\) −33.2921 + 15.0630i −0.800883 + 0.362359i
\(13\) −23.8730 + 41.3493i −0.509322 + 0.882172i 0.490619 + 0.871374i \(0.336771\pi\)
−0.999942 + 0.0107981i \(0.996563\pi\)
\(14\) 8.34030 + 16.1971i 0.159217 + 0.309203i
\(15\) 9.58316 96.7686i 0.164957 1.66570i
\(16\) −20.8563 + 36.1242i −0.325880 + 0.564441i
\(17\) −47.7799 + 82.7573i −0.681667 + 1.18068i 0.292805 + 0.956172i \(0.405411\pi\)
−0.974472 + 0.224510i \(0.927922\pi\)
\(18\) 17.5334 19.9499i 0.229593 0.261236i
\(19\) 28.4637 + 49.3006i 0.343686 + 0.595281i 0.985114 0.171902i \(-0.0549912\pi\)
−0.641428 + 0.767183i \(0.721658\pi\)
\(20\) −65.8024 113.973i −0.735694 1.27426i
\(21\) 75.4071 + 59.7894i 0.783580 + 0.621291i
\(22\) −11.5564 + 20.0163i −0.111992 + 0.193976i
\(23\) 32.6236 0.295760 0.147880 0.989005i \(-0.452755\pi\)
0.147880 + 0.989005i \(0.452755\pi\)
\(24\) 7.57223 76.4627i 0.0644031 0.650328i
\(25\) 225.222 1.80178
\(26\) −23.4838 40.6751i −0.177136 0.306809i
\(27\) 40.9413 134.189i 0.291820 0.956473i
\(28\) 130.090 + 6.25972i 0.878027 + 0.0422491i
\(29\) 81.3794 + 140.953i 0.521096 + 0.902564i 0.999699 + 0.0245330i \(0.00780988\pi\)
−0.478603 + 0.878031i \(0.658857\pi\)
\(30\) 77.7241 + 55.7593i 0.473014 + 0.339340i
\(31\) 20.2272 + 35.0345i 0.117190 + 0.202980i 0.918653 0.395065i \(-0.129278\pi\)
−0.801463 + 0.598045i \(0.795945\pi\)
\(32\) −79.6652 137.984i −0.440092 0.762262i
\(33\) −12.0318 + 121.494i −0.0634685 + 0.640890i
\(34\) −47.0009 81.4079i −0.237076 0.410627i
\(35\) −187.522 + 291.482i −0.905630 + 1.40770i
\(36\) −60.8403 179.862i −0.281668 0.832694i
\(37\) −127.944 221.605i −0.568482 0.984639i −0.996716 0.0809715i \(-0.974198\pi\)
0.428235 0.903667i \(-0.359136\pi\)
\(38\) −55.9992 −0.239060
\(39\) −201.587 144.618i −0.827684 0.593781i
\(40\) 276.732 1.09388
\(41\) −35.9678 + 62.2981i −0.137006 + 0.237301i −0.926362 0.376635i \(-0.877081\pi\)
0.789356 + 0.613935i \(0.210415\pi\)
\(42\) −88.0236 + 34.8323i −0.323389 + 0.127970i
\(43\) 237.322 + 411.054i 0.841658 + 1.45779i 0.888492 + 0.458892i \(0.151753\pi\)
−0.0468344 + 0.998903i \(0.514913\pi\)
\(44\) 82.6156 + 143.094i 0.283063 + 0.490280i
\(45\) 495.469 + 99.1063i 1.64134 + 0.328309i
\(46\) −16.0458 + 27.7921i −0.0514310 + 0.0890810i
\(47\) 132.436 229.386i 0.411017 0.711902i −0.583984 0.811765i \(-0.698507\pi\)
0.995001 + 0.0998630i \(0.0318404\pi\)
\(48\) −176.113 126.344i −0.529578 0.379919i
\(49\) −142.187 312.141i −0.414539 0.910031i
\(50\) −110.775 + 191.868i −0.313319 + 0.542684i
\(51\) −403.459 289.442i −1.10776 0.794704i
\(52\) −335.767 −0.895433
\(53\) 13.1765 22.8223i 0.0341495 0.0591487i −0.848446 0.529283i \(-0.822461\pi\)
0.882595 + 0.470134i \(0.155794\pi\)
\(54\) 94.1797 + 100.879i 0.237338 + 0.254220i
\(55\) −439.708 −1.07800
\(56\) −148.173 + 230.317i −0.353578 + 0.549597i
\(57\) −269.502 + 121.936i −0.626253 + 0.283348i
\(58\) −160.105 −0.362462
\(59\) −19.5670 33.8910i −0.0431764 0.0747836i 0.843630 0.536926i \(-0.180414\pi\)
−0.886806 + 0.462142i \(0.847081\pi\)
\(60\) 623.035 281.892i 1.34056 0.606535i
\(61\) −210.807 + 365.129i −0.442477 + 0.766393i −0.997873 0.0651932i \(-0.979234\pi\)
0.555395 + 0.831586i \(0.312567\pi\)
\(62\) −39.7947 −0.0815150
\(63\) −347.777 + 359.302i −0.695489 + 0.718537i
\(64\) −176.969 −0.345642
\(65\) 446.765 773.820i 0.852530 1.47662i
\(66\) −97.5834 70.0064i −0.181995 0.130563i
\(67\) 184.717 + 319.939i 0.336817 + 0.583384i 0.983832 0.179093i \(-0.0573162\pi\)
−0.647015 + 0.762477i \(0.723983\pi\)
\(68\) −672.010 −1.19843
\(69\) −16.7058 + 168.692i −0.0291470 + 0.294320i
\(70\) −156.082 303.115i −0.266506 0.517560i
\(71\) 685.628 1.14604 0.573022 0.819540i \(-0.305771\pi\)
0.573022 + 0.819540i \(0.305771\pi\)
\(72\) 391.500 + 78.3098i 0.640816 + 0.128179i
\(73\) 113.553 196.679i 0.182060 0.315336i −0.760522 0.649312i \(-0.775057\pi\)
0.942582 + 0.333976i \(0.108390\pi\)
\(74\) 251.715 0.395423
\(75\) −115.331 + 1164.59i −0.177564 + 1.79301i
\(76\) −200.167 + 346.699i −0.302115 + 0.523278i
\(77\) 235.436 365.958i 0.348447 0.541621i
\(78\) 222.351 100.602i 0.322772 0.146038i
\(79\) 343.364 594.725i 0.489006 0.846984i −0.510914 0.859632i \(-0.670693\pi\)
0.999920 + 0.0126480i \(0.00402610\pi\)
\(80\) 390.310 676.037i 0.545475 0.944790i
\(81\) 672.910 + 280.417i 0.923058 + 0.384660i
\(82\) −35.3813 61.2823i −0.0476490 0.0825304i
\(83\) −49.0800 85.0091i −0.0649064 0.112421i 0.831746 0.555156i \(-0.187342\pi\)
−0.896652 + 0.442735i \(0.854008\pi\)
\(84\) −98.9846 + 669.473i −0.128573 + 0.869590i
\(85\) 894.165 1548.74i 1.14101 1.97629i
\(86\) −466.905 −0.585438
\(87\) −770.522 + 348.622i −0.949524 + 0.429612i
\(88\) −347.439 −0.420877
\(89\) 529.104 + 916.436i 0.630168 + 1.09148i 0.987517 + 0.157512i \(0.0503474\pi\)
−0.357349 + 0.933971i \(0.616319\pi\)
\(90\) −328.124 + 373.347i −0.384304 + 0.437270i
\(91\) 404.818 + 786.165i 0.466334 + 0.905632i
\(92\) 114.710 + 198.684i 0.129993 + 0.225154i
\(93\) −191.516 + 86.6513i −0.213541 + 0.0966164i
\(94\) 130.277 + 225.646i 0.142947 + 0.247591i
\(95\) −532.677 922.623i −0.575279 0.996412i
\(96\) 754.291 341.279i 0.801922 0.362829i
\(97\) −706.073 1222.95i −0.739081 1.28013i −0.952910 0.303254i \(-0.901927\pi\)
0.213829 0.976871i \(-0.431407\pi\)
\(98\) 335.848 + 32.3959i 0.346182 + 0.0333926i
\(99\) −622.067 124.429i −0.631516 0.126319i
\(100\) 791.920 + 1371.65i 0.791920 + 1.37165i
\(101\) 1401.46 1.38070 0.690350 0.723476i \(-0.257457\pi\)
0.690350 + 0.723476i \(0.257457\pi\)
\(102\) 445.017 201.348i 0.431992 0.195455i
\(103\) −2001.82 −1.91500 −0.957500 0.288432i \(-0.906866\pi\)
−0.957500 + 0.288432i \(0.906866\pi\)
\(104\) 353.016 611.442i 0.332847 0.576508i
\(105\) −1411.18 1118.91i −1.31160 1.03995i
\(106\) 12.9616 + 22.4502i 0.0118768 + 0.0205712i
\(107\) 58.5775 + 101.459i 0.0529243 + 0.0916677i 0.891274 0.453465i \(-0.149812\pi\)
−0.838350 + 0.545133i \(0.816479\pi\)
\(108\) 961.196 222.493i 0.856399 0.198235i
\(109\) 348.784 604.111i 0.306490 0.530856i −0.671102 0.741365i \(-0.734179\pi\)
0.977592 + 0.210509i \(0.0675121\pi\)
\(110\) 216.269 374.589i 0.187458 0.324688i
\(111\) 1211.41 548.100i 1.03587 0.468679i
\(112\) 353.663 + 686.822i 0.298375 + 0.579451i
\(113\) −401.566 + 695.532i −0.334302 + 0.579028i −0.983351 0.181719i \(-0.941834\pi\)
0.649048 + 0.760747i \(0.275167\pi\)
\(114\) 28.6760 289.564i 0.0235592 0.237896i
\(115\) −610.525 −0.495058
\(116\) −572.288 + 991.232i −0.458066 + 0.793393i
\(117\) 851.028 968.320i 0.672458 0.765138i
\(118\) 38.4959 0.0300325
\(119\) 810.209 + 1573.45i 0.624133 + 1.21208i
\(120\) −141.708 + 1430.94i −0.107801 + 1.08855i
\(121\) −778.943 −0.585231
\(122\) −207.370 359.175i −0.153889 0.266543i
\(123\) −303.716 217.886i −0.222644 0.159725i
\(124\) −142.244 + 246.374i −0.103015 + 0.178428i
\(125\) −1875.58 −1.34206
\(126\) −135.038 472.994i −0.0954774 0.334426i
\(127\) −1151.01 −0.804220 −0.402110 0.915591i \(-0.631723\pi\)
−0.402110 + 0.915591i \(0.631723\pi\)
\(128\) 724.363 1254.63i 0.500197 0.866367i
\(129\) −2247.03 + 1016.67i −1.53364 + 0.693896i
\(130\) 439.481 + 761.203i 0.296500 + 0.513553i
\(131\) 2518.34 1.67960 0.839802 0.542893i \(-0.182671\pi\)
0.839802 + 0.542893i \(0.182671\pi\)
\(132\) −782.227 + 353.918i −0.515789 + 0.233368i
\(133\) 1053.09 + 50.6730i 0.686577 + 0.0330369i
\(134\) −363.410 −0.234282
\(135\) −766.184 + 2511.25i −0.488464 + 1.60099i
\(136\) 706.533 1223.75i 0.445476 0.771587i
\(137\) −2824.38 −1.76134 −0.880669 0.473731i \(-0.842907\pi\)
−0.880669 + 0.473731i \(0.842907\pi\)
\(138\) −135.493 97.2023i −0.0835789 0.0599595i
\(139\) −760.305 + 1316.89i −0.463944 + 0.803575i −0.999153 0.0411450i \(-0.986899\pi\)
0.535209 + 0.844720i \(0.320233\pi\)
\(140\) −2434.54 117.146i −1.46969 0.0707188i
\(141\) 1118.30 + 802.272i 0.667931 + 0.479174i
\(142\) −337.224 + 584.089i −0.199290 + 0.345181i
\(143\) −560.919 + 971.539i −0.328017 + 0.568141i
\(144\) 743.488 845.958i 0.430259 0.489559i
\(145\) −1522.95 2637.83i −0.872237 1.51076i
\(146\) 111.701 + 193.472i 0.0633182 + 0.109670i
\(147\) 1686.85 575.388i 0.946454 0.322838i
\(148\) 899.744 1558.40i 0.499720 0.865540i
\(149\) −1365.79 −0.750940 −0.375470 0.926835i \(-0.622519\pi\)
−0.375470 + 0.926835i \(0.622519\pi\)
\(150\) −935.395 671.053i −0.509165 0.365275i
\(151\) 2566.10 1.38296 0.691478 0.722397i \(-0.256960\pi\)
0.691478 + 0.722397i \(0.256960\pi\)
\(152\) −420.900 729.020i −0.224602 0.389022i
\(153\) 1703.26 1938.01i 0.900005 1.02405i
\(154\) 195.963 + 380.565i 0.102540 + 0.199135i
\(155\) −378.535 655.643i −0.196159 0.339758i
\(156\) 171.939 1736.20i 0.0882445 0.891074i
\(157\) 669.173 + 1159.04i 0.340164 + 0.589182i 0.984463 0.175592i \(-0.0561840\pi\)
−0.644299 + 0.764774i \(0.722851\pi\)
\(158\) 337.766 + 585.027i 0.170071 + 0.294571i
\(159\) 111.263 + 79.8204i 0.0554954 + 0.0398124i
\(160\) 1490.87 + 2582.27i 0.736649 + 1.27591i
\(161\) 326.898 508.125i 0.160020 0.248732i
\(162\) −569.857 + 435.332i −0.276372 + 0.211129i
\(163\) 315.058 + 545.696i 0.151394 + 0.262222i 0.931740 0.363126i \(-0.118290\pi\)
−0.780346 + 0.625348i \(0.784957\pi\)
\(164\) −505.876 −0.240868
\(165\) 225.165 2273.67i 0.106237 1.07276i
\(166\) 96.5595 0.0451474
\(167\) 147.049 254.696i 0.0681375 0.118018i −0.829944 0.557847i \(-0.811628\pi\)
0.898081 + 0.439829i \(0.144961\pi\)
\(168\) −1115.06 884.120i −0.512077 0.406020i
\(169\) −41.3439 71.6098i −0.0188184 0.0325944i
\(170\) 879.585 + 1523.49i 0.396830 + 0.687329i
\(171\) −492.508 1456.00i −0.220252 0.651129i
\(172\) −1668.93 + 2890.67i −0.739854 + 1.28146i
\(173\) 924.758 1601.73i 0.406405 0.703914i −0.588079 0.808803i \(-0.700116\pi\)
0.994484 + 0.104890i \(0.0334490\pi\)
\(174\) 81.9863 827.880i 0.0357205 0.360698i
\(175\) 2256.80 3507.93i 0.974844 1.51528i
\(176\) −490.038 + 848.771i −0.209875 + 0.363514i
\(177\) 185.266 83.8233i 0.0786746 0.0355963i
\(178\) −1040.95 −0.438330
\(179\) −1180.05 + 2043.91i −0.492744 + 0.853457i −0.999965 0.00835864i \(-0.997339\pi\)
0.507221 + 0.861816i \(0.330673\pi\)
\(180\) 1138.58 + 3365.98i 0.471471 + 1.39381i
\(181\) 3236.18 1.32897 0.664485 0.747301i \(-0.268651\pi\)
0.664485 + 0.747301i \(0.268651\pi\)
\(182\) −868.846 41.8073i −0.353863 0.0170273i
\(183\) −1780.08 1277.03i −0.719057 0.515851i
\(184\) −482.412 −0.193282
\(185\) 2394.37 + 4147.17i 0.951554 + 1.64814i
\(186\) 20.3780 205.773i 0.00803327 0.0811182i
\(187\) −1122.63 + 1944.46i −0.439011 + 0.760389i
\(188\) 1862.67 0.722603
\(189\) −1679.81 1982.30i −0.646499 0.762915i
\(190\) 1047.98 0.400150
\(191\) −590.066 + 1022.02i −0.223538 + 0.387179i −0.955880 0.293758i \(-0.905094\pi\)
0.732342 + 0.680937i \(0.238427\pi\)
\(192\) 90.6220 915.081i 0.0340629 0.343960i
\(193\) 1627.69 + 2819.24i 0.607065 + 1.05147i 0.991721 + 0.128407i \(0.0409865\pi\)
−0.384657 + 0.923060i \(0.625680\pi\)
\(194\) 1389.12 0.514088
\(195\) 3772.54 + 2706.42i 1.38542 + 0.993900i
\(196\) 1401.04 1963.49i 0.510584 0.715556i
\(197\) 2361.04 0.853895 0.426948 0.904276i \(-0.359589\pi\)
0.426948 + 0.904276i \(0.359589\pi\)
\(198\) 411.963 468.741i 0.147863 0.168242i
\(199\) 859.969 1489.51i 0.306340 0.530596i −0.671219 0.741259i \(-0.734229\pi\)
0.977559 + 0.210663i \(0.0675623\pi\)
\(200\) −3330.41 −1.17748
\(201\) −1748.95 + 791.311i −0.613738 + 0.277685i
\(202\) −689.305 + 1193.91i −0.240096 + 0.415858i
\(203\) 3010.85 + 144.877i 1.04099 + 0.0500905i
\(204\) 344.122 3474.87i 0.118105 1.19260i
\(205\) 673.110 1165.86i 0.229327 0.397206i
\(206\) 984.589 1705.36i 0.333008 0.576786i
\(207\) −863.727 172.767i −0.290015 0.0580103i
\(208\) −995.808 1724.79i −0.331956 0.574965i
\(209\) 668.781 + 1158.36i 0.221342 + 0.383376i
\(210\) 1647.29 651.860i 0.541305 0.214203i
\(211\) −1266.79 + 2194.14i −0.413315 + 0.715882i −0.995250 0.0973529i \(-0.968962\pi\)
0.581935 + 0.813235i \(0.302296\pi\)
\(212\) 185.323 0.0600378
\(213\) −351.095 + 3545.28i −0.112942 + 1.14046i
\(214\) −115.245 −0.0368130
\(215\) −4441.30 7692.56i −1.40881 2.44013i
\(216\) −605.408 + 1984.29i −0.190707 + 0.625064i
\(217\) 748.358 + 36.0097i 0.234110 + 0.0112650i
\(218\) 343.096 + 594.260i 0.106594 + 0.184626i
\(219\) 958.852 + 687.880i 0.295859 + 0.212250i
\(220\) −1546.09 2677.90i −0.473805 0.820655i
\(221\) −2281.30 3951.34i −0.694376 1.20270i
\(222\) −128.898 + 1301.58i −0.0389687 + 0.393498i
\(223\) −199.300 345.198i −0.0598481 0.103660i 0.834549 0.550934i \(-0.185728\pi\)
−0.894397 + 0.447274i \(0.852395\pi\)
\(224\) −2947.43 141.825i −0.879167 0.0423040i
\(225\) −5962.88 1192.73i −1.76678 0.353400i
\(226\) −395.018 684.191i −0.116266 0.201379i
\(227\) −2776.77 −0.811898 −0.405949 0.913896i \(-0.633059\pi\)
−0.405949 + 0.913896i \(0.633059\pi\)
\(228\) −1690.23 1212.57i −0.490957 0.352213i
\(229\) 1005.08 0.290032 0.145016 0.989429i \(-0.453677\pi\)
0.145016 + 0.989429i \(0.453677\pi\)
\(230\) 300.285 520.108i 0.0860878 0.149108i
\(231\) 1771.76 + 1404.81i 0.504645 + 0.400128i
\(232\) −1203.38 2084.31i −0.340541 0.589834i
\(233\) −1139.41 1973.52i −0.320367 0.554891i 0.660197 0.751092i \(-0.270473\pi\)
−0.980564 + 0.196201i \(0.937139\pi\)
\(234\) 406.340 + 1201.26i 0.113518 + 0.335593i
\(235\) −2478.44 + 4292.78i −0.687981 + 1.19162i
\(236\) 137.602 238.333i 0.0379539 0.0657381i
\(237\) 2899.41 + 2080.03i 0.794670 + 0.570096i
\(238\) −1738.92 83.6740i −0.473604 0.0227890i
\(239\) −1125.17 + 1948.86i −0.304525 + 0.527453i −0.977155 0.212526i \(-0.931831\pi\)
0.672630 + 0.739979i \(0.265164\pi\)
\(240\) 3295.82 + 2364.42i 0.886434 + 0.635928i
\(241\) 1196.52 0.319812 0.159906 0.987132i \(-0.448881\pi\)
0.159906 + 0.987132i \(0.448881\pi\)
\(242\) 383.121 663.585i 0.101768 0.176268i
\(243\) −1794.58 + 3335.92i −0.473754 + 0.880657i
\(244\) −2964.94 −0.777913
\(245\) 2660.92 + 5841.47i 0.693877 + 1.52326i
\(246\) 335.000 151.571i 0.0868245 0.0392837i
\(247\) −2718.06 −0.700187
\(248\) −299.104 518.063i −0.0765851 0.132649i
\(249\) 464.703 210.255i 0.118270 0.0535114i
\(250\) 922.499 1597.81i 0.233376 0.404219i
\(251\) 1826.87 0.459407 0.229704 0.973261i \(-0.426224\pi\)
0.229704 + 0.973261i \(0.426224\pi\)
\(252\) −3411.06 854.659i −0.852686 0.213645i
\(253\) 766.520 0.190477
\(254\) 566.123 980.554i 0.139849 0.242226i
\(255\) 7550.42 + 5416.67i 1.85422 + 1.33022i
\(256\) 4.67640 + 8.09976i 0.00114170 + 0.00197748i
\(257\) 2372.74 0.575904 0.287952 0.957645i \(-0.407026\pi\)
0.287952 + 0.957645i \(0.407026\pi\)
\(258\) 239.092 2414.30i 0.0576947 0.582588i
\(259\) −4733.63 227.774i −1.13565 0.0546455i
\(260\) 6283.62 1.49882
\(261\) −1408.11 4162.78i −0.333945 0.987240i
\(262\) −1238.64 + 2145.38i −0.292073 + 0.505886i
\(263\) −1712.94 −0.401613 −0.200807 0.979631i \(-0.564356\pi\)
−0.200807 + 0.979631i \(0.564356\pi\)
\(264\) 177.916 1796.56i 0.0414772 0.418828i
\(265\) −246.587 + 427.101i −0.0571612 + 0.0990062i
\(266\) −561.129 + 872.211i −0.129342 + 0.201048i
\(267\) −5009.70 + 2266.64i −1.14827 + 0.519535i
\(268\) −1298.99 + 2249.92i −0.296077 + 0.512820i
\(269\) 188.806 327.021i 0.0427943 0.0741220i −0.843835 0.536603i \(-0.819707\pi\)
0.886629 + 0.462481i \(0.153041\pi\)
\(270\) −1762.50 1887.87i −0.397268 0.425526i
\(271\) 871.508 + 1509.50i 0.195352 + 0.338359i 0.947016 0.321187i \(-0.104082\pi\)
−0.751664 + 0.659546i \(0.770748\pi\)
\(272\) −1993.03 3452.03i −0.444283 0.769521i
\(273\) −4272.45 + 1690.68i −0.947180 + 0.374814i
\(274\) 1389.17 2406.10i 0.306287 0.530504i
\(275\) 5291.80 1.16039
\(276\) −1086.11 + 491.408i −0.236869 + 0.107171i
\(277\) −5165.36 −1.12042 −0.560210 0.828351i \(-0.689279\pi\)
−0.560210 + 0.828351i \(0.689279\pi\)
\(278\) −747.908 1295.41i −0.161354 0.279474i
\(279\) −349.990 1034.67i −0.0751017 0.222023i
\(280\) 2772.93 4310.21i 0.591838 0.919944i
\(281\) 2505.60 + 4339.83i 0.531927 + 0.921325i 0.999305 + 0.0372673i \(0.0118653\pi\)
−0.467378 + 0.884057i \(0.654801\pi\)
\(282\) −1233.49 + 558.094i −0.260473 + 0.117851i
\(283\) −3679.65 6373.33i −0.772906 1.33871i −0.935964 0.352095i \(-0.885469\pi\)
0.163059 0.986616i \(-0.447864\pi\)
\(284\) 2410.79 + 4175.60i 0.503711 + 0.872453i
\(285\) 5043.52 2281.94i 1.04825 0.474282i
\(286\) −551.772 955.698i −0.114080 0.197593i
\(287\) 609.910 + 1184.46i 0.125442 + 0.243611i
\(288\) 1378.45 + 4075.09i 0.282034 + 0.833775i
\(289\) −2109.35 3653.49i −0.429340 0.743638i
\(290\) 2996.24 0.606708
\(291\) 6685.29 3024.75i 1.34673 0.609327i
\(292\) 1597.08 0.320076
\(293\) 2022.15 3502.47i 0.403193 0.698350i −0.590917 0.806733i \(-0.701234\pi\)
0.994109 + 0.108382i \(0.0345671\pi\)
\(294\) −339.495 + 1720.03i −0.0673461 + 0.341206i
\(295\) 366.181 + 634.244i 0.0722708 + 0.125177i
\(296\) 1891.93 + 3276.93i 0.371508 + 0.643471i
\(297\) 961.952 3152.90i 0.187940 0.615993i
\(298\) 671.761 1163.52i 0.130584 0.226178i
\(299\) −778.823 + 1348.96i −0.150637 + 0.260911i
\(300\) −7498.11 + 3392.52i −1.44301 + 0.652890i
\(301\) 8780.38 + 422.496i 1.68137 + 0.0809046i
\(302\) −1262.13 + 2186.07i −0.240488 + 0.416538i
\(303\) −717.659 + 7246.76i −0.136067 + 1.37398i
\(304\) −2374.60 −0.448001
\(305\) 3945.10 6833.11i 0.740641 1.28283i
\(306\) 813.256 + 2404.22i 0.151931 + 0.449151i
\(307\) 116.626 0.0216813 0.0108407 0.999941i \(-0.496549\pi\)
0.0108407 + 0.999941i \(0.496549\pi\)
\(308\) 3056.59 + 147.078i 0.565472 + 0.0272095i
\(309\) 1025.09 10351.1i 0.188723 1.90568i
\(310\) 744.726 0.136444
\(311\) −4674.88 8097.13i −0.852373 1.47635i −0.879061 0.476710i \(-0.841829\pi\)
0.0266873 0.999644i \(-0.491504\pi\)
\(312\) 2980.91 + 2138.50i 0.540900 + 0.388041i
\(313\) −1577.49 + 2732.29i −0.284872 + 0.493412i −0.972578 0.232577i \(-0.925284\pi\)
0.687706 + 0.725989i \(0.258618\pi\)
\(314\) −1316.52 −0.236610
\(315\) 6508.38 6724.06i 1.16414 1.20272i
\(316\) 4829.31 0.859716
\(317\) −4186.25 + 7250.80i −0.741714 + 1.28469i 0.210001 + 0.977701i \(0.432653\pi\)
−0.951715 + 0.306985i \(0.900680\pi\)
\(318\) −122.724 + 55.5264i −0.0216416 + 0.00979171i
\(319\) 1912.08 + 3311.82i 0.335599 + 0.581274i
\(320\) 3311.83 0.578554
\(321\) −554.628 + 250.941i −0.0964371 + 0.0436329i
\(322\) 272.090 + 528.406i 0.0470901 + 0.0914500i
\(323\) −5439.98 −0.937117
\(324\) 658.273 + 5084.14i 0.112873 + 0.871766i
\(325\) −5376.74 + 9312.78i −0.917685 + 1.58948i
\(326\) −619.841 −0.105306
\(327\) 2945.17 + 2112.86i 0.498068 + 0.357314i
\(328\) 531.865 921.216i 0.0895345 0.155078i
\(329\) −2245.73 4361.26i −0.376326 0.730834i
\(330\) 1826.20 + 1310.11i 0.304633 + 0.218544i
\(331\) 890.224 1541.91i 0.147828 0.256046i −0.782596 0.622529i \(-0.786105\pi\)
0.930425 + 0.366484i \(0.119438\pi\)
\(332\) 345.148 597.813i 0.0570555 0.0988231i
\(333\) 2213.81 + 6544.68i 0.364313 + 1.07702i
\(334\) 144.651 + 250.543i 0.0236974 + 0.0410451i
\(335\) −3456.83 5987.41i −0.563782 0.976499i
\(336\) −3732.56 + 1477.03i −0.606035 + 0.239818i
\(337\) 2592.47 4490.29i 0.419053 0.725821i −0.576792 0.816891i \(-0.695696\pi\)
0.995844 + 0.0910707i \(0.0290289\pi\)
\(338\) 81.3396 0.0130896
\(339\) −3390.87 2432.61i −0.543264 0.389738i
\(340\) 12576.1 2.00599
\(341\) 475.255 + 823.166i 0.0754736 + 0.130724i
\(342\) 1482.61 + 296.559i 0.234416 + 0.0468891i
\(343\) −6286.48 913.125i −0.989615 0.143744i
\(344\) −3509.34 6078.35i −0.550031 0.952682i
\(345\) 312.637 3156.94i 0.0487878 0.492648i
\(346\) 909.679 + 1575.61i 0.141343 + 0.244813i
\(347\) 1924.71 + 3333.69i 0.297763 + 0.515741i 0.975624 0.219450i \(-0.0704262\pi\)
−0.677861 + 0.735190i \(0.737093\pi\)
\(348\) −4832.46 3466.81i −0.744389 0.534024i
\(349\) 1083.53 + 1876.72i 0.166189 + 0.287847i 0.937077 0.349123i \(-0.113521\pi\)
−0.770888 + 0.636971i \(0.780187\pi\)
\(350\) 1878.42 + 3647.94i 0.286874 + 0.557116i
\(351\) 4571.25 + 4896.40i 0.695143 + 0.744589i
\(352\) −1871.80 3242.06i −0.283431 0.490916i
\(353\) 5663.65 0.853953 0.426977 0.904263i \(-0.359579\pi\)
0.426977 + 0.904263i \(0.359579\pi\)
\(354\) −19.7129 + 199.057i −0.00295969 + 0.0298863i
\(355\) −12831.0 −1.91831
\(356\) −3720.85 + 6444.69i −0.553945 + 0.959461i
\(357\) −8550.96 + 3383.75i −1.26769 + 0.501644i
\(358\) −1160.81 2010.58i −0.171371 0.296823i
\(359\) −3691.47 6393.81i −0.542697 0.939979i −0.998748 0.0500250i \(-0.984070\pi\)
0.456051 0.889954i \(-0.349263\pi\)
\(360\) −7326.62 1465.51i −1.07263 0.214553i
\(361\) 1809.13 3133.51i 0.263760 0.456846i
\(362\) −1591.71 + 2756.92i −0.231100 + 0.400278i
\(363\) 398.880 4027.80i 0.0576743 0.582382i
\(364\) −3364.49 + 5229.71i −0.484470 + 0.753053i
\(365\) −2125.05 + 3680.70i −0.304741 + 0.527826i
\(366\) 1963.43 888.355i 0.280411 0.126872i
\(367\) 11911.4 1.69420 0.847098 0.531436i \(-0.178348\pi\)
0.847098 + 0.531436i \(0.178348\pi\)
\(368\) −680.407 + 1178.50i −0.0963823 + 0.166939i
\(369\) 1282.18 1458.90i 0.180888 0.205819i
\(370\) −4710.65 −0.661879
\(371\) −223.434 433.915i −0.0312672 0.0607217i
\(372\) −1201.13 861.688i −0.167407 0.120098i
\(373\) 6937.69 0.963056 0.481528 0.876431i \(-0.340082\pi\)
0.481528 + 0.876431i \(0.340082\pi\)
\(374\) −1104.33 1912.75i −0.152683 0.264455i
\(375\) 960.445 9698.36i 0.132259 1.33552i
\(376\) −1958.36 + 3391.98i −0.268603 + 0.465235i
\(377\) −7771.09 −1.06162
\(378\) 2514.94 456.052i 0.342208 0.0620550i
\(379\) 6490.60 0.879683 0.439841 0.898075i \(-0.355035\pi\)
0.439841 + 0.898075i \(0.355035\pi\)
\(380\) 3745.97 6488.20i 0.505695 0.875889i
\(381\) 589.410 5951.73i 0.0792556 0.800306i
\(382\) −580.445 1005.36i −0.0777438 0.134656i
\(383\) 7407.22 0.988227 0.494114 0.869397i \(-0.335493\pi\)
0.494114 + 0.869397i \(0.335493\pi\)
\(384\) 6116.60 + 4388.05i 0.812855 + 0.583143i
\(385\) −4406.00 + 6848.63i −0.583249 + 0.906593i
\(386\) −3202.29 −0.422260
\(387\) −4106.39 12139.7i −0.539378 1.59456i
\(388\) 4965.35 8600.24i 0.649684 1.12529i
\(389\) −4075.30 −0.531172 −0.265586 0.964087i \(-0.585565\pi\)
−0.265586 + 0.964087i \(0.585565\pi\)
\(390\) −4161.12 + 1882.70i −0.540273 + 0.244446i
\(391\) −1558.75 + 2699.84i −0.201610 + 0.349199i
\(392\) 2102.55 + 4615.70i 0.270905 + 0.594714i
\(393\) −1289.59 + 13022.0i −0.165524 + 1.67143i
\(394\) −1161.27 + 2011.38i −0.148487 + 0.257188i
\(395\) −6425.80 + 11129.8i −0.818524 + 1.41773i
\(396\) −1429.50 4226.02i −0.181402 0.536276i
\(397\) 4255.62 + 7370.95i 0.537994 + 0.931833i 0.999012 + 0.0444418i \(0.0141509\pi\)
−0.461018 + 0.887391i \(0.652516\pi\)
\(398\) 845.947 + 1465.22i 0.106541 + 0.184535i
\(399\) −801.289 + 5419.45i −0.100538 + 0.679979i
\(400\) −4697.31 + 8135.97i −0.587163 + 1.01700i
\(401\) −8317.08 −1.03575 −0.517874 0.855457i \(-0.673276\pi\)
−0.517874 + 0.855457i \(0.673276\pi\)
\(402\) 186.094 1879.14i 0.0230884 0.233142i
\(403\) −1931.53 −0.238751
\(404\) 4927.78 + 8535.17i 0.606847 + 1.05109i
\(405\) −12593.0 5247.79i −1.54506 0.643863i
\(406\) −1604.30 + 2493.70i −0.196109 + 0.304828i
\(407\) −3006.15 5206.81i −0.366117 0.634133i
\(408\) 5966.04 + 4280.04i 0.723929 + 0.519347i
\(409\) 3090.21 + 5352.40i 0.373596 + 0.647088i 0.990116 0.140252i \(-0.0447912\pi\)
−0.616519 + 0.787340i \(0.711458\pi\)
\(410\) 662.134 + 1146.85i 0.0797573 + 0.138144i
\(411\) 1446.31 14604.5i 0.173579 1.75276i
\(412\) −7038.74 12191.5i −0.841684 1.45784i
\(413\) −723.934 34.8344i −0.0862529 0.00415034i
\(414\) 572.002 650.837i 0.0679043 0.0772631i
\(415\) 918.495 + 1590.88i 0.108644 + 0.188176i
\(416\) 7607.40 0.896595
\(417\) −6420.10 4605.78i −0.753941 0.540878i
\(418\) −1315.75 −0.153961
\(419\) −1187.31 + 2056.48i −0.138434 + 0.239775i −0.926904 0.375298i \(-0.877540\pi\)
0.788470 + 0.615073i \(0.210874\pi\)
\(420\) 1852.42 12528.7i 0.215212 1.45556i
\(421\) −272.600 472.158i −0.0315576 0.0546593i 0.849815 0.527081i \(-0.176713\pi\)
−0.881373 + 0.472421i \(0.843380\pi\)
\(422\) −1246.13 2158.37i −0.143746 0.248976i
\(423\) −4721.09 + 5371.77i −0.542665 + 0.617457i
\(424\) −194.843 + 337.478i −0.0223170 + 0.0386543i
\(425\) −10761.1 + 18638.8i −1.22821 + 2.12733i
\(426\) −2847.56 2042.84i −0.323861 0.232338i
\(427\) 3574.68 + 6942.12i 0.405131 + 0.786774i
\(428\) −411.938 + 713.497i −0.0465228 + 0.0805798i
\(429\) −4736.46 3397.93i −0.533050 0.382410i
\(430\) 8737.76 0.979936
\(431\) 1440.19 2494.49i 0.160955 0.278783i −0.774256 0.632872i \(-0.781876\pi\)
0.935212 + 0.354090i \(0.115209\pi\)
\(432\) 3993.60 + 4277.67i 0.444774 + 0.476411i
\(433\) 12051.3 1.33753 0.668765 0.743474i \(-0.266823\pi\)
0.668765 + 0.743474i \(0.266823\pi\)
\(434\) −398.755 + 619.818i −0.0441033 + 0.0685535i
\(435\) 14419.7 6524.19i 1.58936 0.719106i
\(436\) 4905.53 0.538836
\(437\) 928.588 + 1608.36i 0.101648 + 0.176060i
\(438\) −1057.62 + 478.518i −0.115376 + 0.0522020i
\(439\) 5716.05 9900.49i 0.621440 1.07637i −0.367778 0.929914i \(-0.619881\pi\)
0.989218 0.146452i \(-0.0467854\pi\)
\(440\) 6502.06 0.704485
\(441\) 2111.45 + 9017.09i 0.227994 + 0.973663i
\(442\) 4488.21 0.482992
\(443\) 6166.53 10680.7i 0.661356 1.14550i −0.318904 0.947787i \(-0.603315\pi\)
0.980260 0.197714i \(-0.0633519\pi\)
\(444\) 7597.54 + 5450.48i 0.812080 + 0.582586i
\(445\) −9901.78 17150.4i −1.05481 1.82698i
\(446\) 392.101 0.0416290
\(447\) 699.393 7062.32i 0.0740048 0.747284i
\(448\) −1773.28 + 2756.36i −0.187008 + 0.290683i
\(449\) 7715.04 0.810902 0.405451 0.914117i \(-0.367114\pi\)
0.405451 + 0.914117i \(0.367114\pi\)
\(450\) 3948.91 4493.17i 0.413675 0.470689i
\(451\) −845.096 + 1463.75i −0.0882351 + 0.152828i
\(452\) −5647.90 −0.587732
\(453\) −1314.05 + 13268.9i −0.136290 + 1.37622i
\(454\) 1365.75 2365.54i 0.141184 0.244539i
\(455\) −7575.85 14712.5i −0.780574 1.51589i
\(456\) 3985.19 1803.10i 0.409263 0.185171i
\(457\) 3269.35 5662.67i 0.334647 0.579625i −0.648770 0.760984i \(-0.724716\pi\)
0.983417 + 0.181359i \(0.0580497\pi\)
\(458\) −494.345 + 856.230i −0.0504350 + 0.0873559i
\(459\) 9148.99 + 9799.75i 0.930366 + 0.996543i
\(460\) −2146.71 3718.21i −0.217589 0.376875i
\(461\) −4562.67 7902.77i −0.460965 0.798414i 0.538045 0.842916i \(-0.319163\pi\)
−0.999009 + 0.0445022i \(0.985830\pi\)
\(462\) −2068.19 + 818.417i −0.208271 + 0.0824161i
\(463\) −6181.47 + 10706.6i −0.620469 + 1.07468i 0.368929 + 0.929458i \(0.379725\pi\)
−0.989398 + 0.145227i \(0.953609\pi\)
\(464\) −6789.10 −0.679259
\(465\) 3584.08 1621.61i 0.357436 0.161721i
\(466\) 2241.67 0.222840
\(467\) −6161.47 10672.0i −0.610532 1.05747i −0.991151 0.132741i \(-0.957622\pi\)
0.380618 0.924732i \(-0.375711\pi\)
\(468\) 8889.61 + 1778.15i 0.878040 + 0.175630i
\(469\) 6834.10 + 328.845i 0.672856 + 0.0323766i
\(470\) −2438.03 4222.78i −0.239272 0.414431i
\(471\) −6335.91 + 2866.68i −0.619837 + 0.280445i
\(472\) 289.342 + 501.154i 0.0282162 + 0.0488718i
\(473\) 5576.10 + 9658.08i 0.542049 + 0.938857i
\(474\) −3198.06 + 1446.96i −0.309898 + 0.140213i
\(475\) 6410.66 + 11103.6i 0.619245 + 1.07256i
\(476\) −6733.75 + 10466.8i −0.648405 + 1.00787i
\(477\) −469.716 + 534.453i −0.0450876 + 0.0513017i
\(478\) −1106.83 1917.08i −0.105910 0.183442i
\(479\) 5159.08 0.492118 0.246059 0.969255i \(-0.420864\pi\)
0.246059 + 0.969255i \(0.420864\pi\)
\(480\) −14116.0 + 6386.76i −1.34230 + 0.607322i
\(481\) 12217.6 1.15816
\(482\) −588.506 + 1019.32i −0.0556135 + 0.0963255i
\(483\) 2460.05 + 1950.54i 0.231752 + 0.183753i
\(484\) −2738.90 4743.91i −0.257222 0.445521i
\(485\) 13213.6 + 22886.6i 1.23711 + 2.14274i
\(486\) −1959.23 3169.57i −0.182865 0.295833i
\(487\) 2035.57 3525.71i 0.189405 0.328059i −0.755647 0.654979i \(-0.772677\pi\)
0.945052 + 0.326920i \(0.106011\pi\)
\(488\) 3117.26 5399.25i 0.289163 0.500845i
\(489\) −2983.05 + 1349.68i −0.275866 + 0.124815i
\(490\) −6285.14 606.264i −0.579457 0.0558943i
\(491\) 4038.87 6995.52i 0.371225 0.642981i −0.618529 0.785762i \(-0.712271\pi\)
0.989754 + 0.142781i \(0.0456045\pi\)
\(492\) 259.049 2615.81i 0.0237374 0.239695i
\(493\) −15553.2 −1.42085
\(494\) 1336.87 2315.53i 0.121758 0.210892i
\(495\) 11641.5 + 2328.59i 1.05706 + 0.211439i
\(496\) −1687.46 −0.152760
\(497\) 6870.20 10678.9i 0.620062 0.963814i
\(498\) −49.4461 + 499.295i −0.00444926 + 0.0449276i
\(499\) −5744.43 −0.515342 −0.257671 0.966233i \(-0.582955\pi\)
−0.257671 + 0.966233i \(0.582955\pi\)
\(500\) −6594.86 11422.6i −0.589863 1.02167i
\(501\) 1241.69 + 890.791i 0.110728 + 0.0794364i
\(502\) −898.542 + 1556.32i −0.0798882 + 0.138370i
\(503\) 5458.59 0.483870 0.241935 0.970292i \(-0.422218\pi\)
0.241935 + 0.970292i \(0.422218\pi\)
\(504\) 5142.66 5313.09i 0.454508 0.469571i
\(505\) −26227.3 −2.31109
\(506\) −377.011 + 653.001i −0.0331229 + 0.0573705i
\(507\) 391.456 177.114i 0.0342902 0.0155146i
\(508\) −4047.16 7009.89i −0.353472 0.612232i
\(509\) −4620.31 −0.402341 −0.201171 0.979556i \(-0.564475\pi\)
−0.201171 + 0.979556i \(0.564475\pi\)
\(510\) −8328.14 + 3768.06i −0.723091 + 0.327162i
\(511\) −1925.53 3739.42i −0.166693 0.323722i
\(512\) 11580.6 0.999600
\(513\) 7780.97 1801.10i 0.669665 0.155011i
\(514\) −1167.02 + 2021.35i −0.100146 + 0.173459i
\(515\) 37462.5 3.20543
\(516\) −14092.6 10110.1i −1.20231 0.862540i
\(517\) 3111.70 5389.63i 0.264705 0.458483i
\(518\) 2522.26 3920.57i 0.213942 0.332548i
\(519\) 7808.76 + 5602.00i 0.660436 + 0.473797i
\(520\) −6606.42 + 11442.7i −0.557136 + 0.964988i
\(521\) −10010.3 + 17338.3i −0.841763 + 1.45798i 0.0466408 + 0.998912i \(0.485148\pi\)
−0.888403 + 0.459064i \(0.848185\pi\)
\(522\) 4238.87 + 847.879i 0.355422 + 0.0710932i
\(523\) 1592.45 + 2758.20i 0.133141 + 0.230608i 0.924886 0.380245i \(-0.124160\pi\)
−0.791745 + 0.610852i \(0.790827\pi\)
\(524\) 8854.90 + 15337.1i 0.738222 + 1.27864i
\(525\) 16983.3 + 13465.9i 1.41184 + 1.11943i
\(526\) 842.503 1459.26i 0.0698382 0.120963i
\(527\) −3865.81 −0.319539
\(528\) −4137.94 2968.56i −0.341062 0.244678i
\(529\) −11102.7 −0.912526
\(530\) −242.566 420.137i −0.0198800 0.0344332i
\(531\) 338.568 + 1000.91i 0.0276697 + 0.0817996i
\(532\) 3394.25 + 6591.71i 0.276615 + 0.537193i
\(533\) −1717.32 2974.49i −0.139560 0.241725i
\(534\) 533.050 5382.63i 0.0431973 0.436197i
\(535\) −1096.23 1898.73i −0.0885875 0.153438i
\(536\) −2731.45 4731.01i −0.220113 0.381247i
\(537\) −9964.48 7148.52i −0.800743 0.574453i
\(538\) 185.727 + 321.688i 0.0148834 + 0.0257788i
\(539\) −3340.81 7334.03i −0.266974 0.586083i
\(540\) −17988.0 + 4163.79i −1.43348 + 0.331817i
\(541\) 4189.85 + 7257.04i 0.332968 + 0.576718i 0.983092 0.183110i \(-0.0586165\pi\)
−0.650124 + 0.759828i \(0.725283\pi\)
\(542\) −1714.60 −0.135882
\(543\) −1657.18 + 16733.9i −0.130970 + 1.32250i
\(544\) 15225.6 1.19998
\(545\) −6527.21 + 11305.5i −0.513019 + 0.888574i
\(546\) 661.097 4471.27i 0.0518175 0.350463i
\(547\) 5077.36 + 8794.24i 0.396878 + 0.687412i 0.993339 0.115230i \(-0.0367604\pi\)
−0.596461 + 0.802642i \(0.703427\pi\)
\(548\) −9931.02 17201.0i −0.774146 1.34086i
\(549\) 7514.88 8550.61i 0.584203 0.664719i
\(550\) −2602.76 + 4508.10i −0.201785 + 0.349502i
\(551\) −4632.72 + 8024.11i −0.358186 + 0.620397i
\(552\) 247.033 2494.48i 0.0190479 0.192341i
\(553\) −5822.46 11307.4i −0.447733 0.869508i
\(554\) 2540.57 4400.39i 0.194834 0.337463i
\(555\) −22670.5 + 10257.3i −1.73389 + 0.784498i
\(556\) −10693.5 −0.815654
\(557\) 3995.60 6920.58i 0.303948 0.526453i −0.673079 0.739571i \(-0.735028\pi\)
0.977027 + 0.213118i \(0.0683618\pi\)
\(558\) 1053.59 + 210.744i 0.0799316 + 0.0159883i
\(559\) −22662.4 −1.71470
\(560\) −6618.52 12853.3i −0.499435 0.969915i
\(561\) −9479.64 6800.69i −0.713423 0.511810i
\(562\) −4929.49 −0.369996
\(563\) −7026.84 12170.9i −0.526015 0.911084i −0.999541 0.0303042i \(-0.990352\pi\)
0.473526 0.880780i \(-0.342981\pi\)
\(564\) −953.835 + 9631.62i −0.0712122 + 0.719085i
\(565\) 7514.99 13016.4i 0.559572 0.969207i
\(566\) 7239.29 0.537615
\(567\) 11110.4 7670.98i 0.822913 0.568167i
\(568\) −10138.5 −0.748950
\(569\) −6623.94 + 11473.0i −0.488032 + 0.845296i −0.999905 0.0137648i \(-0.995618\pi\)
0.511873 + 0.859061i \(0.328952\pi\)
\(570\) −536.649 + 5418.97i −0.0394347 + 0.398203i
\(571\) 4679.76 + 8105.58i 0.342980 + 0.594059i 0.984985 0.172642i \(-0.0552302\pi\)
−0.642004 + 0.766701i \(0.721897\pi\)
\(572\) −7889.15 −0.576681
\(573\) −4982.58 3574.51i −0.363264 0.260606i
\(574\) −1309.03 62.9882i −0.0951878 0.00458027i
\(575\) 7347.55 0.532894
\(576\) 4685.35 + 937.187i 0.338928 + 0.0677942i
\(577\) 7432.51 12873.5i 0.536256 0.928822i −0.462846 0.886439i \(-0.653172\pi\)
0.999101 0.0423832i \(-0.0134950\pi\)
\(578\) 4149.90 0.298639
\(579\) −15411.4 + 6972.87i −1.10617 + 0.500488i
\(580\) 10709.9 18550.1i 0.766734 1.32802i
\(581\) −1815.85 87.3755i −0.129663 0.00623915i
\(582\) −711.339 + 7182.94i −0.0506631 + 0.511585i
\(583\) 309.593 536.230i 0.0219932 0.0380933i
\(584\) −1679.13 + 2908.34i −0.118978 + 0.206075i
\(585\) −15926.3 + 18121.4i −1.12559 + 1.28073i
\(586\) 1989.18 + 3445.36i 0.140226 + 0.242878i
\(587\) 6942.90 + 12025.5i 0.488184 + 0.845560i 0.999908 0.0135902i \(-0.00432602\pi\)
−0.511723 + 0.859150i \(0.670993\pi\)
\(588\) 9435.47 + 8250.05i 0.661755 + 0.578616i
\(589\) −1151.48 + 1994.42i −0.0805533 + 0.139522i
\(590\) −720.420 −0.0502699
\(591\) −1209.04 + 12208.6i −0.0841510 + 0.849739i
\(592\) 10673.7 0.741027
\(593\) −11671.1 20214.9i −0.808220 1.39988i −0.914095 0.405499i \(-0.867098\pi\)
0.105875 0.994379i \(-0.466236\pi\)
\(594\) 2212.84 + 2370.24i 0.152852 + 0.163724i
\(595\) −15162.4 29445.8i −1.04470 2.02884i
\(596\) −4802.36 8317.93i −0.330054 0.571671i
\(597\) 7261.67 + 5209.52i 0.497823 + 0.357138i
\(598\) −766.124 1326.97i −0.0523899 0.0907419i
\(599\) −1859.75 3221.18i −0.126857 0.219723i 0.795600 0.605822i \(-0.207156\pi\)
−0.922457 + 0.386099i \(0.873822\pi\)
\(600\) 1705.43 17221.1i 0.116040 1.17175i
\(601\) −4161.44 7207.83i −0.282444 0.489207i 0.689542 0.724245i \(-0.257812\pi\)
−0.971986 + 0.235038i \(0.924478\pi\)
\(602\) −4678.53 + 7272.24i −0.316749 + 0.492349i
\(603\) −3196.16 9448.78i −0.215850 0.638116i
\(604\) 9022.86 + 15628.0i 0.607839 + 1.05281i
\(605\) 14577.3 0.979590
\(606\) −5820.57 4175.67i −0.390172 0.279910i
\(607\) 19423.4 1.29880 0.649398 0.760448i \(-0.275021\pi\)
0.649398 + 0.760448i \(0.275021\pi\)
\(608\) 4535.14 7855.09i 0.302507 0.523957i
\(609\) −2290.93 + 15494.5i −0.152435 + 1.03098i
\(610\) 3880.77 + 6721.69i 0.257586 + 0.446153i
\(611\) 6323.30 + 10952.3i 0.418680 + 0.725175i
\(612\) 17791.8 + 3558.81i 1.17515 + 0.235060i
\(613\) 6784.18 11750.5i 0.446999 0.774225i −0.551190 0.834380i \(-0.685826\pi\)
0.998189 + 0.0601546i \(0.0191594\pi\)
\(614\) −57.3619 + 99.3538i −0.00377026 + 0.00653028i
\(615\) 5683.81 + 4077.57i 0.372672 + 0.267355i
\(616\) −3481.45 + 5411.51i −0.227714 + 0.353955i
\(617\) −5017.11 + 8689.89i −0.327360 + 0.567004i −0.981987 0.188948i \(-0.939492\pi\)
0.654627 + 0.755952i \(0.272826\pi\)
\(618\) 8313.98 + 5964.45i 0.541161 + 0.388229i
\(619\) 441.555 0.0286714 0.0143357 0.999897i \(-0.495437\pi\)
0.0143357 + 0.999897i \(0.495437\pi\)
\(620\) 2661.99 4610.71i 0.172433 0.298662i
\(621\) 1335.65 4377.74i 0.0863088 0.282887i
\(622\) 9197.30 0.592891
\(623\) 19575.7 + 941.946i 1.25888 + 0.0605751i
\(624\) 9428.57 4265.95i 0.604880 0.273678i
\(625\) 6947.26 0.444625
\(626\) −1551.77 2687.74i −0.0990751 0.171603i
\(627\) −6332.20 + 2865.00i −0.403323 + 0.182483i
\(628\) −4705.85 + 8150.78i −0.299019 + 0.517916i
\(629\) 24452.6 1.55006
\(630\) 2527.13 + 8851.73i 0.159815 + 0.559780i
\(631\) 3901.54 0.246145 0.123073 0.992398i \(-0.460725\pi\)
0.123073 + 0.992398i \(0.460725\pi\)
\(632\) −5077.41 + 8794.33i −0.319570 + 0.553512i
\(633\) −10696.9 7673.97i −0.671665 0.481853i
\(634\) −4117.99 7132.57i −0.257959 0.446799i
\(635\) 21540.3 1.34615
\(636\) −94.8998 + 958.278i −0.00591670 + 0.0597456i
\(637\) 16301.2 + 1572.42i 1.01394 + 0.0978043i
\(638\) −3761.81 −0.233435
\(639\) −18152.4 3630.93i −1.12378 0.224785i
\(640\) −13555.9 + 23479.5i −0.837256 + 1.45017i
\(641\) −27542.3 −1.69712 −0.848562 0.529097i \(-0.822531\pi\)
−0.848562 + 0.529097i \(0.822531\pi\)
\(642\) 59.0144 595.914i 0.00362790 0.0366338i
\(643\) −11402.8 + 19750.3i −0.699352 + 1.21131i 0.269340 + 0.963045i \(0.413195\pi\)
−0.968691 + 0.248268i \(0.920139\pi\)
\(644\) 4244.01 + 204.214i 0.259685 + 0.0124956i
\(645\) 42051.4 19026.1i 2.56709 1.16148i
\(646\) 2675.64 4634.34i 0.162959 0.282254i
\(647\) −5936.93 + 10283.1i −0.360750 + 0.624837i −0.988084 0.153913i \(-0.950812\pi\)
0.627335 + 0.778750i \(0.284146\pi\)
\(648\) −9950.47 4146.59i −0.603227 0.251379i
\(649\) −459.744 796.300i −0.0278067 0.0481626i
\(650\) −5289.07 9160.93i −0.319160 0.552802i
\(651\) −569.419 + 3851.22i −0.0342816 + 0.231860i
\(652\) −2215.60 + 3837.52i −0.133082 + 0.230505i
\(653\) 27655.7 1.65735 0.828676 0.559728i \(-0.189094\pi\)
0.828676 + 0.559728i \(0.189094\pi\)
\(654\) −3248.53 + 1469.79i −0.194232 + 0.0878800i
\(655\) −47128.7 −2.81141
\(656\) −1500.31 2598.62i −0.0892948 0.154663i
\(657\) −4047.94 + 4605.84i −0.240373 + 0.273502i
\(658\) 4819.94 + 231.927i 0.285563 + 0.0137408i
\(659\) −14076.8 24381.8i −0.832102 1.44124i −0.896368 0.443310i \(-0.853804\pi\)
0.0642662 0.997933i \(-0.479529\pi\)
\(660\) 14638.8 6623.30i 0.863354 0.390624i
\(661\) 6459.39 + 11188.0i 0.380092 + 0.658339i 0.991075 0.133305i \(-0.0425589\pi\)
−0.610983 + 0.791644i \(0.709226\pi\)
\(662\) 875.708 + 1516.77i 0.0514129 + 0.0890498i
\(663\) 21600.0 9772.91i 1.26527 0.572471i
\(664\) 725.758 + 1257.05i 0.0424170 + 0.0734683i
\(665\) −19707.8 948.306i −1.14923 0.0552988i
\(666\) −6664.29 1333.03i −0.387742 0.0775581i
\(667\) 2654.89 + 4598.40i 0.154119 + 0.266942i
\(668\) 2068.19 0.119792
\(669\) 1887.03 853.785i 0.109053 0.0493411i
\(670\) 6800.93 0.392154
\(671\) −4953.11 + 8579.04i −0.284967 + 0.493577i
\(672\) 2242.67 15168.1i 0.128740 0.870718i
\(673\) 6143.90 + 10641.5i 0.351902 + 0.609512i 0.986583 0.163263i \(-0.0522018\pi\)
−0.634681 + 0.772774i \(0.718868\pi\)
\(674\) 2550.20 + 4417.07i 0.145742 + 0.252432i
\(675\) 9220.88 30222.4i 0.525795 1.72335i
\(676\) 290.745 503.585i 0.0165422 0.0286519i
\(677\) −13030.0 + 22568.6i −0.739710 + 1.28121i 0.212916 + 0.977070i \(0.431704\pi\)
−0.952626 + 0.304144i \(0.901629\pi\)
\(678\) 3740.14 1692.22i 0.211857 0.0958546i
\(679\) −26123.1 1257.00i −1.47645 0.0710444i
\(680\) −13222.2 + 22901.6i −0.745660 + 1.29152i
\(681\) 1421.93 14358.3i 0.0800122 0.807946i
\(682\) −935.012 −0.0524977
\(683\) −6109.75 + 10582.4i −0.342289 + 0.592862i −0.984857 0.173367i \(-0.944535\pi\)
0.642569 + 0.766228i \(0.277869\pi\)
\(684\) 7135.56 8119.01i 0.398882 0.453857i
\(685\) 52856.2 2.94822
\(686\) 3869.88 4906.36i 0.215383 0.273069i
\(687\) −514.679 + 5197.11i −0.0285826 + 0.288621i
\(688\) −19798.7 −1.09712
\(689\) 629.124 + 1089.67i 0.0347862 + 0.0602515i
\(690\) 2535.64 + 1819.07i 0.139899 + 0.100363i
\(691\) −1339.15 + 2319.48i −0.0737247 + 0.127695i −0.900531 0.434792i \(-0.856822\pi\)
0.826806 + 0.562487i \(0.190155\pi\)
\(692\) 13006.4 0.714495
\(693\) −8171.33 + 8442.13i −0.447912 + 0.462756i
\(694\) −3786.65 −0.207117
\(695\) 14228.5 24644.5i 0.776573 1.34506i
\(696\) 11393.9 5155.16i 0.620523 0.280755i
\(697\) −3437.08 5953.20i −0.186784 0.323520i
\(698\) −2131.72 −0.115597
\(699\) 10788.3 4881.14i 0.583762 0.264123i
\(700\) 29299.2 + 1409.83i 1.58201 + 0.0761235i
\(701\) −6169.00 −0.332382 −0.166191 0.986094i \(-0.553147\pi\)
−0.166191 + 0.986094i \(0.553147\pi\)
\(702\) −6419.62 + 1485.99i −0.345147 + 0.0798930i
\(703\) 7283.51 12615.4i 0.390758 0.676813i
\(704\) −4158.04 −0.222602
\(705\) −20928.2 15013.9i −1.11802 0.802065i
\(706\) −2785.65 + 4824.89i −0.148498 + 0.257205i
\(707\) 14043.1 21828.3i 0.747021 1.16116i
\(708\) 1161.93 + 833.565i 0.0616777 + 0.0442476i
\(709\) 17272.2 29916.4i 0.914912 1.58467i 0.107881 0.994164i \(-0.465593\pi\)
0.807031 0.590510i \(-0.201073\pi\)
\(710\) 6310.89 10930.8i 0.333582 0.577781i
\(711\) −12240.3 + 13927.3i −0.645635 + 0.734619i
\(712\) −7823.99 13551.5i −0.411821 0.713295i
\(713\) 659.882 + 1142.95i 0.0346603 + 0.0600333i
\(714\) 1323.13 8948.88i 0.0693515 0.469053i
\(715\) 10497.2 18181.6i 0.549051 0.950984i
\(716\) −16597.0 −0.866286
\(717\) −9501.10 6816.09i −0.494874 0.355023i
\(718\) 7262.55 0.377487
\(719\) 6508.90 + 11273.7i 0.337609 + 0.584756i 0.983982 0.178265i \(-0.0570485\pi\)
−0.646373 + 0.763021i \(0.723715\pi\)
\(720\) −13913.8 + 15831.4i −0.720190 + 0.819449i
\(721\) −20058.8 + 31179.2i −1.03610 + 1.61050i
\(722\) 1779.63 + 3082.42i 0.0917328 + 0.158886i
\(723\) −612.714 + 6187.05i −0.0315174 + 0.318256i
\(724\) 11379.0 + 19709.0i 0.584111 + 1.01171i
\(725\) 18328.4 + 31745.8i 0.938899 + 1.62622i
\(726\) 3235.11 + 2320.87i 0.165381 + 0.118644i
\(727\) 5297.44 + 9175.44i 0.270249 + 0.468086i 0.968926 0.247352i \(-0.0795605\pi\)
−0.698676 + 0.715438i \(0.746227\pi\)
\(728\) −5986.13 11625.2i −0.304754 0.591839i
\(729\) −16330.6 10987.8i −0.829682 0.558237i
\(730\) −2090.40 3620.68i −0.105985 0.183572i
\(731\) −45357.0 −2.29492
\(732\) 1518.28 15331.3i 0.0766631 0.774127i
\(733\) −32060.1 −1.61551 −0.807753 0.589521i \(-0.799316\pi\)
−0.807753 + 0.589521i \(0.799316\pi\)
\(734\) −5858.59 + 10147.4i −0.294611 + 0.510281i
\(735\) −31568.0 + 10767.9i −1.58422 + 0.540383i
\(736\) −2598.96 4501.53i −0.130162 0.225447i
\(737\) 4340.09 + 7517.25i 0.216919 + 0.375714i
\(738\) 612.203 + 1809.85i 0.0305359 + 0.0902732i
\(739\) 11637.3 20156.5i 0.579278 1.00334i −0.416284 0.909235i \(-0.636668\pi\)
0.995562 0.0941045i \(-0.0299988\pi\)
\(740\) −16838.0 + 29164.3i −0.836457 + 1.44879i
\(741\) 1391.86 14054.7i 0.0690032 0.696779i
\(742\) 479.550 + 23.0751i 0.0237262 + 0.00114166i
\(743\) −5197.48 + 9002.30i −0.256631 + 0.444498i −0.965337 0.261006i \(-0.915946\pi\)
0.708706 + 0.705504i \(0.249279\pi\)
\(744\) 2831.99 1281.33i 0.139551 0.0631397i
\(745\) 25559.7 1.25696
\(746\) −3412.28 + 5910.25i −0.167470 + 0.290066i
\(747\) 849.232 + 2510.58i 0.0415954 + 0.122968i
\(748\) −15789.5 −0.771819
\(749\) 2167.24 + 104.284i 0.105726 + 0.00508737i
\(750\) 7789.68 + 5588.32i 0.379252 + 0.272075i
\(751\) 20843.7 1.01278 0.506390 0.862304i \(-0.330980\pi\)
0.506390 + 0.862304i \(0.330980\pi\)
\(752\) 5524.26 + 9568.30i 0.267884 + 0.463989i
\(753\) −935.503 + 9446.50i −0.0452744 + 0.457171i
\(754\) 3822.19 6620.23i 0.184610 0.319754i
\(755\) −48022.6 −2.31486
\(756\) 6166.05 17200.5i 0.296636 0.827480i
\(757\) −2016.92 −0.0968376 −0.0484188 0.998827i \(-0.515418\pi\)
−0.0484188 + 0.998827i \(0.515418\pi\)
\(758\) −3192.38 + 5529.37i −0.152972 + 0.264955i
\(759\) −392.518 + 3963.57i −0.0187714 + 0.189550i
\(760\) 7876.81 + 13643.0i 0.375950 + 0.651165i
\(761\) −8764.56 −0.417497 −0.208748 0.977969i \(-0.566939\pi\)
−0.208748 + 0.977969i \(0.566939\pi\)
\(762\) 4780.41 + 3429.46i 0.227265 + 0.163040i
\(763\) −5914.36 11485.8i −0.280621 0.544973i
\(764\) −8299.10 −0.392999
\(765\) −31875.3 + 36268.4i −1.50647 + 1.71410i
\(766\) −3643.22 + 6310.24i −0.171847 + 0.297648i
\(767\) 1868.49 0.0879627
\(768\) −44.2774 + 20.0333i −0.00208037 + 0.000941262i
\(769\) −3372.48 + 5841.30i −0.158146 + 0.273918i −0.934200 0.356749i \(-0.883885\pi\)
0.776054 + 0.630667i \(0.217218\pi\)
\(770\) −3667.29 7121.97i −0.171636 0.333322i
\(771\) −1215.03 + 12269.1i −0.0567551 + 0.573101i
\(772\) −11446.5 + 19825.9i −0.533636 + 0.924285i
\(773\) 18762.5 32497.5i 0.873013 1.51210i 0.0141481 0.999900i \(-0.495496\pi\)
0.858865 0.512203i \(-0.171170\pi\)