Properties

Label 63.4.h.a.58.13
Level $63$
Weight $4$
Character 63.58
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 58.13
Character \(\chi\) \(=\) 63.58
Dual form 63.4.h.a.25.13

$q$-expansion

\(f(q)\) \(=\) \(q+0.983694 q^{2} +(-4.22206 - 3.02890i) q^{3} -7.03235 q^{4} +(9.35711 + 16.2070i) q^{5} +(-4.15321 - 2.97951i) q^{6} +(-18.4989 + 0.890133i) q^{7} -14.7872 q^{8} +(8.65150 + 25.5764i) q^{9} +O(q^{10})\) \(q+0.983694 q^{2} +(-4.22206 - 3.02890i) q^{3} -7.03235 q^{4} +(9.35711 + 16.2070i) q^{5} +(-4.15321 - 2.97951i) q^{6} +(-18.4989 + 0.890133i) q^{7} -14.7872 q^{8} +(8.65150 + 25.5764i) q^{9} +(9.20454 + 15.9427i) q^{10} +(-11.7479 + 20.3480i) q^{11} +(29.6910 + 21.3003i) q^{12} +(-23.8730 + 41.3493i) q^{13} +(-18.1972 + 0.875618i) q^{14} +(9.58316 - 96.7686i) q^{15} +41.7126 q^{16} +(-47.7799 - 82.7573i) q^{17} +(8.51043 + 25.1593i) q^{18} +(28.4637 - 49.3006i) q^{19} +(-65.8024 - 113.973i) q^{20} +(80.7993 + 52.2730i) q^{21} +(-11.5564 + 20.0163i) q^{22} +(-16.3118 - 28.2528i) q^{23} +(62.4325 + 44.7891i) q^{24} +(-112.611 + 195.048i) 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} +(9.42690 - 95.1907i) q^{30} -40.4543 q^{31} +159.330 q^{32} +(111.233 - 50.3272i) 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} +(27.9996 - 48.4967i) q^{38} +(226.036 - 102.270i) q^{39} +(-138.366 - 239.657i) q^{40} +(-35.9678 + 62.2981i) q^{41} +(79.4818 + 51.4207i) q^{42} +(237.322 + 411.054i) q^{43} +(82.6156 - 143.094i) q^{44} +(-333.563 + 379.536i) q^{45} +(-16.0458 - 27.7921i) q^{46} -264.872 q^{47} +(-176.113 - 126.344i) q^{48} +(341.415 - 32.9329i) q^{49} +(-110.775 + 191.868i) q^{50} +(-48.9342 + 494.127i) q^{51} +(167.883 - 290.783i) q^{52} +(13.1765 + 22.8223i) q^{53} +(40.2737 - 132.001i) q^{54} -439.708 q^{55} +(273.547 - 13.1626i) q^{56} +(-269.502 + 121.936i) q^{57} +(80.0525 + 138.655i) q^{58} +39.1340 q^{59} +(-67.3921 + 680.510i) q^{60} +421.615 q^{61} -39.7947 q^{62} +(-182.809 - 465.433i) q^{63} -176.969 q^{64} -893.531 q^{65} +(109.419 - 49.5066i) q^{66} -369.434 q^{67} +(336.005 + 581.978i) q^{68} +(-16.7058 + 168.692i) q^{69} +(-184.465 - 286.729i) q^{70} +685.628 q^{71} +(-127.932 - 378.204i) q^{72} +(113.553 + 196.679i) q^{73} +(-125.858 + 217.992i) q^{74} +(1066.23 - 482.416i) q^{75} +(-200.167 + 346.699i) q^{76} +(199.211 - 386.873i) q^{77} +(222.351 - 100.602i) q^{78} -686.729 q^{79} +(390.310 + 676.037i) q^{80} +(-579.303 + 442.548i) q^{81} +(-35.3813 + 61.2823i) q^{82} +(-49.0800 - 85.0091i) q^{83} +(-568.209 - 367.602i) q^{84} +(894.165 - 1548.74i) q^{85} +(233.452 + 404.351i) q^{86} +(83.3453 - 841.603i) q^{87} +(173.720 - 300.891i) 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} +(170.800 + 122.532i) q^{93} -260.553 q^{94} +1065.35 q^{95} +(-672.702 - 482.596i) q^{96} +(-706.073 - 1222.95i) q^{97} +(335.848 - 32.3959i) q^{98} +(-622.067 - 124.429i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

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

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

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:
<
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.983694 0.347788 0.173894 0.984764i \(-0.444365\pi\)
0.173894 + 0.984764i \(0.444365\pi\)
\(3\) −4.22206 3.02890i −0.812535 0.582913i
\(4\) −7.03235 −0.879043
\(5\) 9.35711 + 16.2070i 0.836926 + 1.44960i 0.892453 + 0.451140i \(0.148983\pi\)
−0.0555274 + 0.998457i \(0.517684\pi\)
\(6\) −4.15321 2.97951i −0.282590 0.202730i
\(7\) −18.4989 + 0.890133i −0.998844 + 0.0480626i
\(8\) −14.7872 −0.653510
\(9\) 8.65150 + 25.5764i 0.320426 + 0.947274i
\(10\) 9.20454 + 15.9427i 0.291073 + 0.504153i
\(11\) −11.7479 + 20.3480i −0.322013 + 0.557742i −0.980903 0.194496i \(-0.937693\pi\)
0.658890 + 0.752239i \(0.271026\pi\)
\(12\) 29.6910 + 21.3003i 0.714253 + 0.512405i
\(13\) −23.8730 + 41.3493i −0.509322 + 0.882172i 0.490619 + 0.871374i \(0.336771\pi\)
−0.999942 + 0.0107981i \(0.996563\pi\)
\(14\) −18.1972 + 0.875618i −0.347387 + 0.0167156i
\(15\) 9.58316 96.7686i 0.164957 1.66570i
\(16\) 41.7126 0.651760
\(17\) −47.7799 82.7573i −0.681667 1.18068i −0.974472 0.224510i \(-0.927922\pi\)
0.292805 0.956172i \(-0.405411\pi\)
\(18\) 8.51043 + 25.1593i 0.111440 + 0.329451i
\(19\) 28.4637 49.3006i 0.343686 0.595281i −0.641428 0.767183i \(-0.721658\pi\)
0.985114 + 0.171902i \(0.0549912\pi\)
\(20\) −65.8024 113.973i −0.735694 1.27426i
\(21\) 80.7993 + 52.2730i 0.839612 + 0.543186i
\(22\) −11.5564 + 20.0163i −0.111992 + 0.193976i
\(23\) −16.3118 28.2528i −0.147880 0.256136i 0.782564 0.622571i \(-0.213912\pi\)
−0.930444 + 0.366435i \(0.880578\pi\)
\(24\) 62.4325 + 44.7891i 0.530999 + 0.380939i
\(25\) −112.611 + 195.048i −0.900889 + 1.56039i
\(26\) −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 \(0.658857\pi\)
\(30\) 9.42690 95.1907i 0.0573703 0.579312i
\(31\) −40.4543 −0.234381 −0.117190 0.993109i \(-0.537389\pi\)
−0.117190 + 0.993109i \(0.537389\pi\)
\(32\) 159.330 0.880184
\(33\) 111.233 50.3272i 0.586762 0.265480i
\(34\) −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 0.428235 + 0.903667i \(0.359136\pi\)
−0.996716 + 0.0809715i \(0.974198\pi\)
\(38\) 27.9996 48.4967i 0.119530 0.207032i
\(39\) 226.036 102.270i 0.928071 0.419905i
\(40\) −138.366 239.657i −0.546939 0.947326i
\(41\) −35.9678 + 62.2981i −0.137006 + 0.237301i −0.926362 0.376635i \(-0.877081\pi\)
0.789356 + 0.613935i \(0.210415\pi\)
\(42\) 79.4818 + 51.4207i 0.292007 + 0.188914i
\(43\) 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
\(45\) −333.563 + 379.536i −1.10499 + 1.25729i
\(46\) −16.0458 27.7921i −0.0514310 0.0890810i
\(47\) −264.872 −0.822033 −0.411017 0.911628i \(-0.634826\pi\)
−0.411017 + 0.911628i \(0.634826\pi\)
\(48\) −176.113 126.344i −0.529578 0.379919i
\(49\) 341.415 32.9329i 0.995380 0.0960142i
\(50\) −110.775 + 191.868i −0.313319 + 0.542684i
\(51\) −48.9342 + 494.127i −0.134356 + 1.35670i
\(52\) 167.883 290.783i 0.447716 0.775467i
\(53\) 13.1765 + 22.8223i 0.0341495 + 0.0591487i 0.882595 0.470134i \(-0.155794\pi\)
−0.848446 + 0.529283i \(0.822461\pi\)
\(54\) 40.2737 132.001i 0.101492 0.332650i
\(55\) −439.708 −1.07800
\(56\) 273.547 13.1626i 0.652754 0.0314094i
\(57\) −269.502 + 121.936i −0.626253 + 0.283348i
\(58\) 80.0525 + 138.655i 0.181231 + 0.313901i
\(59\) 39.1340 0.0863527 0.0431764 0.999067i \(-0.486252\pi\)
0.0431764 + 0.999067i \(0.486252\pi\)
\(60\) −67.3921 + 680.510i −0.145005 + 1.46422i
\(61\) 421.615 0.884955 0.442477 0.896780i \(-0.354100\pi\)
0.442477 + 0.896780i \(0.354100\pi\)
\(62\) −39.7947 −0.0815150
\(63\) −182.809 465.433i −0.365584 0.930778i
\(64\) −176.969 −0.345642
\(65\) −893.531 −1.70506
\(66\) 109.419 49.5066i 0.204069 0.0923309i
\(67\) −369.434 −0.673634 −0.336817 0.941570i \(-0.609350\pi\)
−0.336817 + 0.941570i \(0.609350\pi\)
\(68\) 336.005 + 581.978i 0.599215 + 1.03787i
\(69\) −16.7058 + 168.692i −0.0291470 + 0.294320i
\(70\) −184.465 286.729i −0.314968 0.489581i
\(71\) 685.628 1.14604 0.573022 0.819540i \(-0.305771\pi\)
0.573022 + 0.819540i \(0.305771\pi\)
\(72\) −127.932 378.204i −0.209401 0.619052i
\(73\) 113.553 + 196.679i 0.182060 + 0.315336i 0.942582 0.333976i \(-0.108390\pi\)
−0.760522 + 0.649312i \(0.775057\pi\)
\(74\) −125.858 + 217.992i −0.197711 + 0.342446i
\(75\) 1066.23 482.416i 1.64157 0.742728i
\(76\) −200.167 + 346.699i −0.302115 + 0.523278i
\(77\) 199.211 386.873i 0.294834 0.572575i
\(78\) 222.351 100.602i 0.322772 0.146038i
\(79\) −686.729 −0.978013 −0.489006 0.872280i \(-0.662641\pi\)
−0.489006 + 0.872280i \(0.662641\pi\)
\(80\) 390.310 + 676.037i 0.545475 + 0.944790i
\(81\) −579.303 + 442.548i −0.794654 + 0.607062i
\(82\) −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 \(0.854008\pi\)
\(84\) −568.209 367.602i −0.738055 0.477484i
\(85\) 894.165 1548.74i 1.14101 1.97629i
\(86\) 233.452 + 404.351i 0.292719 + 0.507004i
\(87\) 83.3453 841.603i 0.102708 1.03712i
\(88\) 173.720 300.891i 0.210438 0.364490i
\(89\) 529.104 916.436i 0.630168 1.09148i −0.357349 0.933971i \(-0.616319\pi\)
0.987517 0.157512i \(-0.0503474\pi\)
\(90\) −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
\(93\) 170.800 + 122.532i 0.190443 + 0.136624i
\(94\) −260.553 −0.285894
\(95\) 1065.35 1.15056
\(96\) −672.702 482.596i −0.715180 0.513070i
\(97\) −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
\(101\) −700.731 + 1213.70i −0.690350 + 1.19572i 0.281374 + 0.959598i \(0.409210\pi\)
−0.971723 + 0.236122i \(0.924123\pi\)
\(102\) −48.1363 + 486.070i −0.0467275 + 0.471844i
\(103\) 1000.91 + 1733.63i 0.957500 + 1.65844i 0.728539 + 0.685004i \(0.240200\pi\)
0.228961 + 0.973436i \(0.426467\pi\)
\(104\) 353.016 611.442i 0.332847 0.576508i
\(105\) −91.1405 + 1798.64i −0.0847086 + 1.67171i
\(106\) 12.9616 + 22.4502i 0.0118768 + 0.0205712i
\(107\) 58.5775 101.459i 0.0529243 0.0916677i −0.838350 0.545133i \(-0.816479\pi\)
0.891274 + 0.453465i \(0.149812\pi\)
\(108\) −287.913 + 943.667i −0.256523 + 0.840781i
\(109\) 348.784 + 604.111i 0.306490 + 0.530856i 0.977592 0.210509i \(-0.0675121\pi\)
−0.671102 + 0.741365i \(0.734179\pi\)
\(110\) −432.538 −0.374917
\(111\) 1211.41 548.100i 1.03587 0.468679i
\(112\) −771.636 + 37.1298i −0.651007 + 0.0313253i
\(113\) −401.566 + 695.532i −0.334302 + 0.579028i −0.983351 0.181719i \(-0.941834\pi\)
0.649048 + 0.760747i \(0.275167\pi\)
\(114\) −265.108 + 119.948i −0.217804 + 0.0985451i
\(115\) 305.262 528.730i 0.247529 0.428733i
\(116\) −572.288 991.232i −0.458066 0.793393i
\(117\) −1264.10 252.852i −0.998858 0.199797i
\(118\) 38.4959 0.0300325
\(119\) 957.539 + 1488.38i 0.737626 + 1.14655i
\(120\) −141.708 + 1430.94i −0.107801 + 1.08855i
\(121\) 389.471 + 674.584i 0.292616 + 0.506825i
\(122\) 414.740 0.307777
\(123\) 340.553 154.083i 0.249647 0.112953i
\(124\) 284.489 0.206031
\(125\) −1875.58 −1.34206
\(126\) −179.828 457.844i −0.127146 0.323714i
\(127\) −1151.01 −0.804220 −0.402110 0.915591i \(-0.631723\pi\)
−0.402110 + 0.915591i \(0.631723\pi\)
\(128\) −1448.73 −1.00039
\(129\) 243.055 2454.32i 0.165890 1.67512i
\(130\) −878.961 −0.593000
\(131\) −1259.17 2180.94i −0.839802 1.45458i −0.890060 0.455843i \(-0.849338\pi\)
0.0502587 0.998736i \(-0.483995\pi\)
\(132\) −782.227 + 353.918i −0.515789 + 0.233368i
\(133\) −482.662 + 937.342i −0.314678 + 0.611111i
\(134\) −363.410 −0.234282
\(135\) 2557.90 592.091i 1.63073 0.377475i
\(136\) 706.533 + 1223.75i 0.445476 + 0.771587i
\(137\) 1412.19 2445.99i 0.880669 1.52536i 0.0300713 0.999548i \(-0.490427\pi\)
0.850598 0.525816i \(-0.176240\pi\)
\(138\) −16.4334 + 165.941i −0.0101370 + 0.102361i
\(139\) −760.305 + 1316.89i −0.463944 + 0.803575i −0.999153 0.0411450i \(-0.986899\pi\)
0.535209 + 0.844720i \(0.320233\pi\)
\(140\) 1318.72 + 2049.80i 0.796088 + 1.23743i
\(141\) 1118.30 + 802.272i 0.667931 + 0.479174i
\(142\) 674.448 0.398581
\(143\) −560.919 971.539i −0.328017 0.568141i
\(144\) 360.877 + 1066.86i 0.208841 + 0.617395i
\(145\) −1522.95 + 2637.83i −0.872237 + 1.51076i
\(146\) 111.701 + 193.472i 0.0633182 + 0.109670i
\(147\) −1541.22 895.069i −0.864749 0.502205i
\(148\) 899.744 1558.40i 0.499720 0.865540i
\(149\) 682.896 + 1182.81i 0.375470 + 0.650333i 0.990397 0.138251i \(-0.0441480\pi\)
−0.614927 + 0.788584i \(0.710815\pi\)
\(150\) 1048.85 474.550i 0.570920 0.258312i
\(151\) −1283.05 + 2222.31i −0.691478 + 1.19768i 0.279875 + 0.960036i \(0.409707\pi\)
−0.971354 + 0.237639i \(0.923626\pi\)
\(152\) −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
\(156\) −1589.57 + 719.198i −0.815815 + 0.369115i
\(157\) −1338.35 −0.680329 −0.340164 0.940366i \(-0.610483\pi\)
−0.340164 + 0.940366i \(0.610483\pi\)
\(158\) −675.531 −0.340142
\(159\) 13.4948 136.267i 0.00673085 0.0679666i
\(160\) 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 −0.780346 0.625348i \(-0.784957\pi\)
0.931740 + 0.363126i \(0.118290\pi\)
\(164\) 252.938 438.102i 0.120434 0.208598i
\(165\) 1856.47 + 1331.83i 0.875915 + 0.628381i
\(166\) −48.2797 83.6230i −0.0225737 0.0390988i
\(167\) 147.049 254.696i 0.0681375 0.118018i −0.829944 0.557847i \(-0.811628\pi\)
0.898081 + 0.439829i \(0.144961\pi\)
\(168\) −1194.80 772.974i −0.548695 0.354977i
\(169\) −41.3439 71.6098i −0.0188184 0.0325944i
\(170\) 879.585 1523.49i 0.396830 0.687329i
\(171\) 1507.19 + 301.475i 0.674020 + 0.134821i
\(172\) −1668.93 2890.67i −0.739854 1.28146i
\(173\) −1849.52 −0.812809 −0.406405 0.913693i \(-0.633218\pi\)
−0.406405 + 0.913693i \(0.633218\pi\)
\(174\) 81.9863 827.880i 0.0357205 0.360698i
\(175\) 1909.56 3708.41i 0.824851 1.60188i
\(176\) −490.038 + 848.771i −0.209875 + 0.363514i
\(177\) −165.226 118.533i −0.0701646 0.0503361i
\(178\) 520.477 901.493i 0.219165 0.379605i
\(179\) −1180.05 2043.91i −0.492744 0.853457i 0.507221 0.861816i \(-0.330673\pi\)
−0.999965 + 0.00835864i \(0.997339\pi\)
\(180\) 2345.73 2669.03i 0.971336 1.10521i
\(181\) 3236.18 1.32897 0.664485 0.747301i \(-0.268651\pi\)
0.664485 + 0.747301i \(0.268651\pi\)
\(182\) 398.217 773.346i 0.162186 0.314968i
\(183\) −1780.08 1277.03i −0.719057 0.515851i
\(184\) 241.206 + 417.781i 0.0966410 + 0.167387i
\(185\) −4788.74 −1.90311
\(186\) 168.015 + 120.534i 0.0662338 + 0.0475161i
\(187\) 2245.27 0.878022
\(188\) 1862.67 0.722603
\(189\) −637.920 + 2518.79i −0.245512 + 0.969393i
\(190\) 1047.98 0.400150
\(191\) 1180.13 0.447075 0.223538 0.974695i \(-0.428239\pi\)
0.223538 + 0.974695i \(0.428239\pi\)
\(192\) 747.172 + 536.021i 0.280846 + 0.201479i
\(193\) −3255.38 −1.21413 −0.607065 0.794652i \(-0.707653\pi\)
−0.607065 + 0.794652i \(0.707653\pi\)
\(194\) −694.560 1203.01i −0.257044 0.445213i
\(195\) 3772.54 + 2706.42i 1.38542 + 0.993900i
\(196\) −2400.95 + 231.595i −0.874982 + 0.0844006i
\(197\) 2361.04 0.853895 0.426948 0.904276i \(-0.359589\pi\)
0.426948 + 0.904276i \(0.359589\pi\)
\(198\) −611.924 122.400i −0.219634 0.0439323i
\(199\) 859.969 + 1489.51i 0.306340 + 0.530596i 0.977559 0.210663i \(-0.0675623\pi\)
−0.671219 + 0.741259i \(0.734229\pi\)
\(200\) 1665.21 2884.22i 0.588739 1.01973i
\(201\) 1559.77 + 1118.98i 0.547351 + 0.392670i
\(202\) −689.305 + 1193.91i −0.240096 + 0.415858i
\(203\) −1630.89 2535.04i −0.563873 0.876476i
\(204\) 344.122 3474.87i 0.118105 1.19260i
\(205\) −1346.22 −0.458654
\(206\) 984.589 + 1705.36i 0.333008 + 0.576786i
\(207\) 581.484 661.626i 0.195246 0.222155i
\(208\) −995.808 + 1724.79i −0.331956 + 0.574965i
\(209\) 668.781 + 1158.36i 0.221342 + 0.383376i
\(210\) −89.6544 + 1769.31i −0.0294607 + 0.581400i
\(211\) −1266.79 + 2194.14i −0.413315 + 0.715882i −0.995250 0.0973529i \(-0.968962\pi\)
0.581935 + 0.813235i \(0.302296\pi\)
\(212\) −92.6614 160.494i −0.0300189 0.0519943i
\(213\) −2894.76 2076.70i −0.931200 0.668043i
\(214\) 57.6224 99.8049i 0.0184065 0.0318810i
\(215\) −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
\(219\) 116.296 1174.33i 0.0358838 0.362347i
\(220\) 3092.18 0.947611
\(221\) 4562.61 1.38875
\(222\) 1191.65 539.162i 0.360263 0.163001i
\(223\) −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
\(227\) 1388.39 2404.76i 0.405949 0.703124i −0.588482 0.808510i \(-0.700274\pi\)
0.994431 + 0.105386i \(0.0336077\pi\)
\(228\) 1895.23 857.497i 0.550504 0.249075i
\(229\) −502.539 870.423i −0.145016 0.251175i 0.784363 0.620302i \(-0.212990\pi\)
−0.929379 + 0.369127i \(0.879657\pi\)
\(230\) 300.285 520.108i 0.0860878 0.149108i
\(231\) −2012.88 + 1030.01i −0.573324 + 0.293374i
\(232\) −1203.38 2084.31i −0.340541 0.589834i
\(233\) −1139.41 + 1973.52i −0.320367 + 0.554891i −0.980564 0.196201i \(-0.937139\pi\)
0.660197 + 0.751092i \(0.270473\pi\)
\(234\) −1243.49 248.729i −0.347391 0.0694870i
\(235\) −2478.44 4292.78i −0.687981 1.19162i
\(236\) −275.204 −0.0759078
\(237\) 2899.41 + 2080.03i 0.794670 + 0.570096i
\(238\) 941.926 + 1464.12i 0.256538 + 0.398758i
\(239\) −1125.17 + 1948.86i −0.304525 + 0.527453i −0.977155 0.212526i \(-0.931831\pi\)
0.672630 + 0.739979i \(0.265164\pi\)
\(240\) 399.739 4036.47i 0.107513 1.08564i
\(241\) −598.261 + 1036.22i −0.159906 + 0.276966i −0.934835 0.355083i \(-0.884453\pi\)
0.774928 + 0.632049i \(0.217786\pi\)
\(242\) 383.121 + 663.585i 0.101768 + 0.176268i
\(243\) 3786.28 113.811i 0.999549 0.0300451i
\(244\) −2964.94 −0.777913
\(245\) 3728.40 + 5225.16i 0.972241 + 1.36254i
\(246\) 335.000 151.571i 0.0868245 0.0392837i
\(247\) 1359.03 + 2353.91i 0.350094 + 0.606380i
\(248\) 598.207 0.153170
\(249\) −50.2657 + 507.572i −0.0127930 + 0.129181i
\(250\) −1845.00 −0.466752
\(251\) 1826.87 0.459407 0.229704 0.973261i \(-0.426224\pi\)
0.229704 + 0.973261i \(0.426224\pi\)
\(252\) 1285.58 + 3273.08i 0.321364 + 0.818194i
\(253\) 766.520 0.190477
\(254\) −1132.25 −0.279699
\(255\) −8466.19 + 3830.52i −2.07911 + 0.940693i
\(256\) −9.35280 −0.00228340
\(257\) −1186.37 2054.85i −0.287952 0.498748i 0.685369 0.728196i \(-0.259641\pi\)
−0.973321 + 0.229449i \(0.926308\pi\)
\(258\) 239.092 2414.30i 0.0576947 0.582588i
\(259\) 2169.55 4213.33i 0.520500 1.01082i
\(260\) 6283.62 1.49882
\(261\) −2901.02 + 3300.85i −0.688003 + 0.782825i
\(262\) −1238.64 2145.38i −0.292073 0.505886i
\(263\) 856.469 1483.45i 0.200807 0.347807i −0.747982 0.663719i \(-0.768977\pi\)
0.948789 + 0.315912i \(0.102310\pi\)
\(264\) −1644.82 + 744.200i −0.383454 + 0.173494i
\(265\) −246.587 + 427.101i −0.0571612 + 0.0990062i
\(266\) −474.792 + 922.058i −0.109441 + 0.212538i
\(267\) −5009.70 + 2266.64i −1.14827 + 0.519535i
\(268\) 2597.98 0.592154
\(269\) 188.806 + 327.021i 0.0427943 + 0.0741220i 0.886629 0.462481i \(-0.153041\pi\)
−0.843835 + 0.536603i \(0.819707\pi\)
\(270\) 2516.19 582.437i 0.567150 0.131281i
\(271\) 871.508 1509.50i 0.195352 0.338359i −0.751664 0.659546i \(-0.770748\pi\)
0.947016 + 0.321187i \(0.104082\pi\)
\(272\) −1993.03 3452.03i −0.444283 0.769521i
\(273\) −4090.38 + 2093.08i −0.906817 + 0.464026i
\(274\) 1389.17 2406.10i 0.306287 0.530504i
\(275\) −2645.90 4582.83i −0.580195 1.00493i
\(276\) 117.481 1186.30i 0.0256215 0.258720i
\(277\) 2582.68 4473.33i 0.560210 0.970311i −0.437268 0.899331i \(-0.644054\pi\)
0.997478 0.0709803i \(-0.0226127\pi\)
\(278\) −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 \(0.654801\pi\)
\(282\) 1100.07 + 789.190i 0.232299 + 0.166651i
\(283\) 7359.29 1.54581 0.772906 0.634521i \(-0.218803\pi\)
0.772906 + 0.634521i \(0.218803\pi\)
\(284\) −4821.57 −1.00742
\(285\) −4497.98 3226.85i −0.934868 0.670674i
\(286\) −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
\(290\) −1498.12 + 2594.82i −0.303354 + 0.525424i
\(291\) −723.130 + 7302.01i −0.145672 + 1.47097i
\(292\) −798.542 1383.12i −0.160038 0.277194i
\(293\) 2022.15 3502.47i 0.403193 0.698350i −0.590917 0.806733i \(-0.701234\pi\)
0.994109 + 0.108382i \(0.0345671\pi\)
\(294\) −1516.09 880.475i −0.300750 0.174661i
\(295\) 366.181 + 634.244i 0.0722708 + 0.125177i
\(296\) 1891.93 3276.93i 0.371508 0.643471i
\(297\) 2249.52 + 2409.53i 0.439496 + 0.470757i
\(298\) 671.761 + 1163.52i 0.130584 + 0.226178i
\(299\) 1557.65 0.301274
\(300\) −7498.11 + 3392.52i −1.44301 + 0.652890i
\(301\) −4756.08 7392.78i −0.910751 1.41566i
\(302\) −1262.13 + 2186.07i −0.240488 + 0.416538i
\(303\) 6634.71 3001.87i 1.25793 0.569151i
\(304\) 1187.30 2056.46i 0.224001 0.387980i
\(305\) 3945.10 + 6833.11i 0.740641 + 1.28283i
\(306\) 1675.49 1906.41i 0.313011 0.356151i
\(307\) 116.626 0.0216813 0.0108407 0.999941i \(-0.496549\pi\)
0.0108407 + 0.999941i \(0.496549\pi\)
\(308\) −1400.92 + 2720.62i −0.259172 + 0.503318i
\(309\) 1025.09 10351.1i 0.188723 1.90568i
\(310\) −372.363 644.952i −0.0682220 0.118164i
\(311\) 9349.76 1.70475 0.852373 0.522934i \(-0.175163\pi\)
0.852373 + 0.522934i \(0.175163\pi\)
\(312\) −3342.45 + 1512.29i −0.606503 + 0.274412i
\(313\) 3154.98 0.569744 0.284872 0.958566i \(-0.408049\pi\)
0.284872 + 0.958566i \(0.408049\pi\)
\(314\) −1316.52 −0.236610
\(315\) 5832.70 7317.90i 1.04329 1.30894i
\(316\) 4829.31 0.859716
\(317\) 8372.50 1.48343 0.741714 0.670717i \(-0.234013\pi\)
0.741714 + 0.670717i \(0.234013\pi\)
\(318\) 13.2747 134.045i 0.00234091 0.0236380i
\(319\) −3824.16 −0.671198
\(320\) −1655.92 2868.13i −0.289277 0.501042i
\(321\) −554.628 + 250.941i −0.0964371 + 0.0436329i
\(322\) 321.568 + 499.840i 0.0556530 + 0.0865062i
\(323\) −5439.98 −0.937117
\(324\) 4073.86 3112.15i 0.698536 0.533634i
\(325\) −5376.74 9312.78i −0.917685 1.58948i
\(326\) 309.921 536.798i 0.0526531 0.0911979i
\(327\) 357.209 3607.02i 0.0604089 0.609996i
\(328\) 531.865 921.216i 0.0895345 0.155078i
\(329\) 4899.83 235.771i 0.821083 0.0395091i
\(330\) 1826.20 + 1310.11i 0.304633 + 0.218544i
\(331\) −1780.45 −0.295656 −0.147828 0.989013i \(-0.547228\pi\)
−0.147828 + 0.989013i \(0.547228\pi\)
\(332\) 345.148 + 597.813i 0.0570555 + 0.0988231i
\(333\) −6774.76 1355.12i −1.11488 0.223004i
\(334\) 144.651 250.543i 0.0236974 0.0410451i
\(335\) −3456.83 5987.41i −0.563782 0.976499i
\(336\) 3370.35 + 2180.45i 0.547226 + 0.354027i
\(337\) 2592.47 4490.29i 0.419053 0.725821i −0.576792 0.816891i \(-0.695696\pi\)
0.995844 + 0.0910707i \(0.0290289\pi\)
\(338\) −40.6698 70.4422i −0.00654481 0.0113359i
\(339\) 3802.13 1720.27i 0.609155 0.275612i
\(340\) −6288.07 + 10891.3i −1.00300 + 1.73724i
\(341\) 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
\(345\) −2890.30 + 1307.72i −0.451040 + 0.204073i
\(346\) −1819.36 −0.282686
\(347\) −3849.42 −0.595526 −0.297763 0.954640i \(-0.596240\pi\)
−0.297763 + 0.954640i \(0.596240\pi\)
\(348\) −586.113 + 5918.44i −0.0902844 + 0.911672i
\(349\) 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
\(353\) −2831.82 + 4904.86i −0.426977 + 0.739545i −0.996603 0.0823587i \(-0.973755\pi\)
0.569626 + 0.821904i \(0.307088\pi\)
\(354\) −162.532 116.600i −0.0244024 0.0175063i
\(355\) 6415.50 + 11112.0i 0.959153 + 1.66130i
\(356\) −3720.85 + 6444.69i −0.553945 + 0.959461i
\(357\) 465.388 9184.34i 0.0689943 1.36159i
\(358\) −1160.81 2010.58i −0.171371 0.296823i
\(359\) −3691.47 + 6393.81i −0.542697 + 0.939979i 0.456051 + 0.889954i \(0.349263\pi\)
−0.998748 + 0.0500250i \(0.984070\pi\)
\(360\) 4932.48 5612.29i 0.722123 0.821648i
\(361\) 1809.13 + 3133.51i 0.263760 + 0.456846i
\(362\) 3183.42 0.462201
\(363\) 398.880 4027.80i 0.0576743 0.582382i
\(364\) −2846.82 + 5528.59i −0.409928 + 0.796090i
\(365\) −2125.05 + 3680.70i −0.304741 + 0.527826i
\(366\) −1751.06 1256.21i −0.250080 0.179407i
\(367\) −5955.70 + 10315.6i −0.847098 + 1.46722i 0.0366883 + 0.999327i \(0.488319\pi\)
−0.883786 + 0.467890i \(0.845014\pi\)
\(368\) −680.407 1178.50i −0.0963823 0.166939i
\(369\) −1904.54 380.955i −0.268689 0.0537445i
\(370\) −4710.65 −0.661879
\(371\) −264.064 410.457i −0.0369529 0.0574390i
\(372\) −1201.13 861.688i −0.167407 0.120098i
\(373\) −3468.84 6008.21i −0.481528 0.834031i 0.518247 0.855231i \(-0.326585\pi\)
−0.999775 + 0.0211999i \(0.993251\pi\)
\(374\) 2208.65 0.305366
\(375\) 7918.80 + 5680.95i 1.09047 + 0.782301i
\(376\) 3916.73 0.537207
\(377\) −7771.09 −1.06162
\(378\) −627.518 + 2477.72i −0.0853864 + 0.337144i
\(379\) 6490.60 0.879683 0.439841 0.898075i \(-0.355035\pi\)
0.439841 + 0.898075i \(0.355035\pi\)
\(380\) −7491.93 −1.01139
\(381\) 4859.65 + 3486.31i 0.653457 + 0.468790i
\(382\) 1160.89 0.155488
\(383\) −3703.61 6414.84i −0.494114 0.855830i 0.505863 0.862614i \(-0.331174\pi\)
−0.999977 + 0.00678376i \(0.997841\pi\)
\(384\) 6116.60 + 4388.05i 0.812855 + 0.583143i
\(385\) 8134.09 391.398i 1.07676 0.0518117i
\(386\) −3202.29 −0.422260
\(387\) −8460.08 + 9626.08i −1.11124 + 1.26440i
\(388\) 4965.35 + 8600.24i 0.649684 + 1.12529i
\(389\) 2037.65 3529.31i 0.265586 0.460008i −0.702131 0.712048i \(-0.747768\pi\)
0.967717 + 0.252039i \(0.0811013\pi\)
\(390\) 3711.02 + 2662.29i 0.481833 + 0.345667i
\(391\) −1558.75 + 2699.84i −0.201610 + 0.349199i
\(392\) −5048.59 + 486.986i −0.650490 + 0.0627462i
\(393\) −1289.59 + 13022.0i −0.165524 + 1.67143i
\(394\) 2322.54 0.296975
\(395\) −6425.80 11129.8i −0.818524 1.41773i
\(396\) 4374.59 + 875.027i 0.555130 + 0.111040i
\(397\) 4255.62 7370.95i 0.537994 0.931833i −0.461018 0.887391i \(-0.652516\pi\)
0.999012 0.0444418i \(-0.0141509\pi\)
\(398\) 845.947 + 1465.22i 0.106541 + 0.184535i
\(399\) 4876.94 2495.57i 0.611911 0.313120i
\(400\) −4697.31 + 8135.97i −0.587163 + 1.01700i
\(401\) 4158.54 + 7202.80i 0.517874 + 0.896984i 0.999784 + 0.0207639i \(0.00660982\pi\)
−0.481910 + 0.876221i \(0.660057\pi\)
\(402\) 1534.34 + 1100.73i 0.190362 + 0.136566i
\(403\) 965.767 1672.76i 0.119375 0.206764i
\(404\) 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
\(408\) 723.601 7306.77i 0.0878029 0.886615i
\(409\) −6180.42 −0.747193 −0.373596 0.927591i \(-0.621876\pi\)
−0.373596 + 0.927591i \(0.621876\pi\)
\(410\) −1324.27 −0.159515
\(411\) −13371.0 + 6049.71i −1.60473 + 0.726058i
\(412\) −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
\(416\) −3803.70 + 6588.20i −0.448297 + 0.776474i
\(417\) 7198.77 3257.08i 0.845384 0.382494i
\(418\) 657.876 + 1139.47i 0.0769803 + 0.133334i
\(419\) −1187.31 + 2056.48i −0.138434 + 0.239775i −0.926904 0.375298i \(-0.877540\pi\)
0.788470 + 0.615073i \(0.210874\pi\)
\(420\) 640.932 12648.6i 0.0744626 1.46950i
\(421\) −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
\(423\) −2291.54 6774.47i −0.263401 0.778691i
\(424\) −194.843 337.478i −0.0223170 0.0386543i
\(425\) 21522.2 2.45642
\(426\) −2847.56 2042.84i −0.323861 0.232338i
\(427\) −7799.39 + 375.293i −0.883932 + 0.0425333i
\(428\) −411.938 + 713.497i −0.0465228 + 0.0805798i
\(429\) −574.469 + 5800.86i −0.0646518 + 0.652840i
\(430\) −4368.88 + 7567.12i −0.489968 + 0.848649i
\(431\) 1440.19 + 2494.49i 0.160955 + 0.278783i 0.935212 0.354090i \(-0.115209\pi\)
−0.774256 + 0.632872i \(0.781876\pi\)
\(432\) 1707.77 5597.40i 0.190197 0.623391i
\(433\) 12051.3 1.33753 0.668765 0.743474i \(-0.266823\pi\)
0.668765 + 0.743474i \(0.266823\pi\)
\(434\) 736.156 35.4225i 0.0814208 0.00391782i
\(435\) 14419.7 6524.19i 1.58936 0.719106i
\(436\) −2452.77 4248.32i −0.269418 0.466645i
\(437\) −1857.18 −0.203297
\(438\) 114.400 1155.18i 0.0124800 0.126020i
\(439\) −11432.1 −1.24288 −0.621440 0.783462i \(-0.713452\pi\)
−0.621440 + 0.783462i \(0.713452\pi\)
\(440\) 6502.06 0.704485
\(441\) 3796.06 + 8447.25i 0.409897 + 0.912132i
\(442\) 4488.21 0.482992
\(443\) −12333.1 −1.32271 −0.661356 0.750073i \(-0.730019\pi\)
−0.661356 + 0.750073i \(0.730019\pi\)
\(444\) −8519.02 + 3854.43i −0.910574 + 0.411989i
\(445\) 19803.6 2.10962
\(446\) −196.051 339.569i −0.0208145 0.0360517i
\(447\) 699.393 7062.32i 0.0740048 0.747284i
\(448\) 3273.72 157.526i 0.345243 0.0166125i
\(449\) 7715.04 0.810902 0.405451 0.914117i \(-0.367114\pi\)
0.405451 + 0.914117i \(0.367114\pi\)
\(450\) −5865.65 1173.28i −0.614466 0.122909i
\(451\) −845.096 1463.75i −0.0882351 0.152828i
\(452\) 2823.95 4891.22i 0.293866 0.508991i
\(453\) 12148.3 5496.48i 1.25999 0.570082i
\(454\) 1365.75 2365.54i 0.141184 0.244539i
\(455\) 16529.3 795.361i 1.70309 0.0819497i
\(456\) 3985.19 1803.10i 0.409263 0.185171i
\(457\) −6538.69 −0.669293 −0.334647 0.942344i \(-0.608617\pi\)
−0.334647 + 0.942344i \(0.608617\pi\)
\(458\) −494.345 856.230i −0.0504350 0.0873559i
\(459\) −13061.3 + 3023.38i −1.32821 + 0.307449i
\(460\) −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 \(0.985830\pi\)
\(462\) −1980.06 + 1013.21i −0.199395 + 0.102032i
\(463\) −6181.47 + 10706.6i −0.620469 + 1.07468i 0.368929 + 0.929458i \(0.379725\pi\)
−0.989398 + 0.145227i \(0.953609\pi\)
\(464\) 3394.55 + 5879.53i 0.339629 + 0.588255i
\(465\) −387.680 + 3914.71i −0.0386629 + 0.390409i
\(466\) −1120.83 + 1941.34i −0.111420 + 0.192985i
\(467\) −6161.47 + 10672.0i −0.610532 + 1.05747i 0.380618 + 0.924732i \(0.375711\pi\)
−0.991151 + 0.132741i \(0.957622\pi\)
\(468\) 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
\(471\) 5650.57 + 4053.72i 0.552791 + 0.396572i
\(472\) −578.683 −0.0564323
\(473\) −11152.2 −1.08410
\(474\) 2852.13 + 2046.12i 0.276377 + 0.198273i
\(475\) 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
\(479\) −2579.54 + 4467.90i −0.246059 + 0.426187i −0.962429 0.271534i \(-0.912469\pi\)
0.716370 + 0.697721i \(0.245802\pi\)
\(480\) 1526.89 15418.2i 0.145193 1.46613i
\(481\) −6108.81 10580.8i −0.579081 1.00300i
\(482\) −588.506 + 1019.32i −0.0556135 + 0.0963255i
\(483\) 158.881 3135.48i 0.0149675 0.295381i
\(484\) −2738.90 4743.91i −0.257222 0.445521i
\(485\) 13213.6 22886.6i 1.23711 2.14274i
\(486\) 3724.55 111.955i 0.347631 0.0104493i
\(487\) 2035.57 + 3525.71i 0.189405 + 0.328059i 0.945052 0.326920i \(-0.106011\pi\)
−0.755647 + 0.654979i \(0.772677\pi\)
\(488\) −6234.52 −0.578326
\(489\) −2983.05 + 1349.68i −0.275866 + 0.124815i
\(490\) 3667.61 + 5139.96i 0.338134 + 0.473877i
\(491\) 4038.87 6995.52i 0.371225 0.642981i −0.618529 0.785762i \(-0.712271\pi\)
0.989754 + 0.142781i \(0.0456045\pi\)
\(492\) −2394.89 + 1083.56i −0.219451 + 0.0992904i
\(493\) 7776.61 13469.5i 0.710427 1.23050i
\(494\) 1336.87 + 2315.53i 0.121758 + 0.210892i
\(495\) −3804.13 11246.1i −0.345420 1.02116i
\(496\) −1687.46 −0.152760
\(497\) −12683.3 + 610.300i −1.14472 + 0.0550819i
\(498\) −49.4461 + 499.295i −0.00444926 + 0.0449276i
\(499\) 2872.21 + 4974.82i 0.257671 + 0.446300i 0.965618 0.259967i \(-0.0837115\pi\)
−0.707946 + 0.706266i \(0.750378\pi\)
\(500\) 13189.7 1.17973
\(501\) −1392.29 + 629.943i −0.124158 + 0.0561752i
\(502\) 1797.08 0.159776
\(503\) 5458.59 0.483870 0.241935 0.970292i \(-0.422218\pi\)
0.241935 + 0.970292i \(0.422218\pi\)
\(504\) 2703.24 + 6882.46i 0.238913 + 0.608272i
\(505\) −26227.3 −2.31109
\(506\) 754.021 0.0662457
\(507\) −42.3427 + 427.567i −0.00370908 + 0.0374535i
\(508\) 8094.33 0.706944
\(509\) 2310.16 + 4001.31i 0.201171 + 0.348438i 0.948906 0.315559i \(-0.102192\pi\)
−0.747735 + 0.663997i \(0.768859\pi\)
\(510\) −8328.14 + 3768.06i −0.723091 + 0.327162i
\(511\) −2275.67 3537.26i −0.197005 0.306222i
\(512\) 11580.6 0.999600
\(513\) −5450.28 5837.96i −0.469076 0.502441i
\(514\) −1167.02 2021.35i −0.100146 0.173459i
\(515\) −18731.2 + 32443.5i −1.60271 + 2.77598i
\(516\) −1709.25 + 17259.6i −0.145825 + 1.47250i
\(517\) 3111.70 5389.63i 0.264705 0.458483i
\(518\) 2134.18 4144.63i 0.181024 0.351553i
\(519\) 7808.76 + 5602.00i 0.660436 + 0.473797i
\(520\) 13212.8 1.11427
\(521\) −10010.3 17338.3i −0.841763 1.45798i −0.888403 0.459064i \(-0.848185\pi\)
0.0466408 0.998912i \(-0.485148\pi\)
\(522\) −2853.72 + 3247.03i −0.239279 + 0.272258i
\(523\) 1592.45 2758.20i 0.133141 0.230608i −0.791745 0.610852i \(-0.790827\pi\)
0.924886 + 0.380245i \(0.124160\pi\)
\(524\) 8854.90 + 15337.1i 0.738222 + 1.27864i
\(525\) −19294.7 + 9873.23i −1.60398 + 0.820768i
\(526\) 842.503 1459.26i 0.0698382 0.120963i
\(527\) 1932.90 + 3347.89i 0.159770 + 0.276729i
\(528\) 4639.81 2099.28i 0.382428 0.173029i
\(529\) 5551.35 9615.22i 0.456263 0.790271i
\(530\) −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
\(534\) −4928.02 + 2229.68i −0.399356 + 0.180688i
\(535\) 2192.47 0.177175
\(536\) 5462.90 0.440226
\(537\) −1208.56 + 12203.7i −0.0971194 + 0.980690i
\(538\) 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 −0.650124 0.759828i \(-0.725283\pi\)
0.983092 + 0.183110i \(0.0586165\pi\)
\(542\) 857.298 1484.88i 0.0679411 0.117677i
\(543\) −13663.3 9802.09i −1.07984 0.774674i
\(544\) −7612.80 13185.7i −0.599992 1.03922i
\(545\) −6527.21 + 11305.5i −0.513019 + 0.888574i
\(546\) −4023.68 + 2058.95i −0.315380 + 0.161383i
\(547\) 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
\(549\) 3647.60 + 10783.4i 0.283562 + 0.838294i
\(550\) −2602.76 4508.10i −0.201785 0.349502i
\(551\) 9265.44 0.716372
\(552\) 247.033 2494.48i 0.0190479 0.192341i
\(553\) 12703.7 611.280i 0.976883 0.0470059i
\(554\) 2540.57 4400.39i 0.194834 0.337463i
\(555\) 20218.3 + 14504.6i 1.54634 + 1.10934i
\(556\) 5346.73 9260.80i 0.407827 0.706377i
\(557\) 3995.60 + 6920.58i 0.303948 + 0.526453i 0.977027 0.213118i \(-0.0683618\pi\)
−0.673079 + 0.739571i \(0.735028\pi\)
\(558\) −344.284 1017.80i −0.0261195 0.0772170i
\(559\) −22662.4 −1.71470
\(560\) −7822.05 12158.5i −0.590253 0.917481i
\(561\) −9479.64 6800.69i −0.713423 0.511810i
\(562\) 2464.74 + 4269.06i 0.184998 + 0.320426i
\(563\) 14053.7 1.05203 0.526015 0.850476i \(-0.323686\pi\)
0.526015 + 0.850476i \(0.323686\pi\)
\(564\) −7864.31 5641.85i −0.587140 0.421214i
\(565\) −15030.0 −1.11914
\(566\) 7239.29 0.537615
\(567\) 10322.5 8702.29i 0.764559 0.644554i
\(568\) −10138.5 −0.748950
\(569\) 13247.9 0.976064 0.488032 0.872826i \(-0.337715\pi\)
0.488032 + 0.872826i \(0.337715\pi\)
\(570\) −4424.64 3174.23i −0.325136 0.233253i
\(571\) −9359.52 −0.685961 −0.342980 0.939343i \(-0.611436\pi\)
−0.342980 + 0.939343i \(0.611436\pi\)
\(572\) 3944.57 + 6832.20i 0.288341 + 0.499421i
\(573\) −4982.58 3574.51i −0.363264 0.260606i
\(574\) 599.965 1165.15i 0.0436273 0.0847252i
\(575\) 7347.55 0.532894
\(576\) −1531.05 4526.22i −0.110753 0.327418i
\(577\) 7432.51 + 12873.5i 0.536256 + 0.928822i 0.999101 + 0.0423832i \(0.0134950\pi\)
−0.462846 + 0.886439i \(0.653172\pi\)
\(578\) −2074.95 + 3593.92i −0.149319 + 0.258629i
\(579\) 13744.4 + 9860.21i 0.986523 + 0.707731i
\(580\) 10709.9 18550.1i 0.766734 1.32802i
\(581\) 983.594 + 1528.88i 0.0702347 + 0.109172i
\(582\) −711.339 + 7182.94i −0.0506631 + 0.511585i
\(583\) −619.185 −0.0439863
\(584\) −1679.13 2908.34i −0.118978 0.206075i
\(585\) −7730.38 22853.3i −0.546345 1.61516i
\(586\) 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 \(0.670993\pi\)
\(588\) 10838.4 + 6294.44i 0.760152 + 0.441460i
\(589\) −1151.48 + 1994.42i −0.0805533 + 0.139522i
\(590\) 360.210 + 623.902i 0.0251349 + 0.0435350i
\(591\) −9968.46 7151.37i −0.693820 0.497746i
\(592\) −5336.87 + 9243.73i −0.370514 + 0.641748i
\(593\) −11671.1 + 20214.9i −0.808220 + 1.39988i 0.105875 + 0.994379i \(0.466236\pi\)
−0.914095 + 0.405499i \(0.867098\pi\)
\(594\) 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
\(597\) 880.744 8893.56i 0.0603793 0.609697i
\(598\) 1532.25 0.104780
\(599\) 3719.50 0.253714 0.126857 0.991921i \(-0.459511\pi\)
0.126857 + 0.991921i \(0.459511\pi\)
\(600\) −15766.6 + 7133.60i −1.07278 + 0.485380i
\(601\) −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
\(605\) −7288.65 + 12624.3i −0.489795 + 0.848350i
\(606\) 6526.52 2952.92i 0.437495 0.197944i
\(607\) −9711.68 16821.1i −0.649398 1.12479i −0.983267 0.182171i \(-0.941687\pi\)
0.333868 0.942620i \(-0.391646\pi\)
\(608\) 4535.14 7855.09i 0.302507 0.523957i
\(609\) −792.655 + 15642.9i −0.0527422 + 1.04086i
\(610\) 3880.77 + 6721.69i 0.257586 + 0.446153i
\(611\) 6323.30 10952.3i 0.418680 0.725175i
\(612\) −11977.9 + 13628.8i −0.791143 + 0.900181i
\(613\) 6784.18 + 11750.5i 0.446999 + 0.774225i 0.998189 0.0601546i \(-0.0191594\pi\)
−0.551190 + 0.834380i \(0.685826\pi\)
\(614\) 114.724 0.00754052
\(615\) 5683.81 + 4077.57i 0.372672 + 0.267355i
\(616\) −2945.78 + 5720.78i −0.192677 + 0.374183i
\(617\) −5017.11 + 8689.89i −0.327360 + 0.567004i −0.981987 0.188948i \(-0.939492\pi\)
0.654627 + 0.755952i \(0.272826\pi\)
\(618\) 1008.37 10182.3i 0.0656355 0.662773i
\(619\) −220.777 + 382.398i −0.0143357 + 0.0248301i −0.873104 0.487534i \(-0.837897\pi\)
0.858769 + 0.512364i \(0.171230\pi\)
\(620\) 2661.99 + 4610.71i 0.172433 + 0.298662i
\(621\) −4459.06 + 1032.16i −0.288141 + 0.0666977i
\(622\) 9197.30 0.592891
\(623\) −8972.08 + 17424.0i −0.576980 + 1.12051i
\(624\) 9428.57 4265.95i 0.604880 0.273678i
\(625\) −3473.63 6016.50i −0.222312 0.385056i
\(626\) 3103.53 0.198150
\(627\) 684.937 6916.34i 0.0436264 0.440530i
\(628\) 9411.71 0.598038
\(629\) 24452.6 1.55006
\(630\) 5737.59 7198.57i 0.362843 0.455235i
\(631\) 3901.54 0.246145 0.123073 0.992398i \(-0.460725\pi\)
0.123073 + 0.992398i \(0.460725\pi\)
\(632\) 10154.8 0.639141
\(633\) 11994.3 5426.82i 0.753129 0.340753i
\(634\) 8235.98 0.515919
\(635\) −10770.2 18654.5i −0.673073 1.16580i
\(636\) −94.8998 + 958.278i −0.00591670 + 0.0597456i
\(637\) −6788.87 + 14903.5i −0.422268 + 0.926999i
\(638\) −3761.81 −0.233435
\(639\) 5931.71 + 17535.9i 0.367222 + 1.08562i
\(640\) −13555.9 23479.5i −0.837256 1.45017i
\(641\) 13771.2 23852.3i 0.848562 1.46975i −0.0339302 0.999424i \(-0.510802\pi\)
0.882492 0.470328i \(-0.155864\pi\)
\(642\) −545.584 + 246.849i −0.0335397 + 0.0151750i
\(643\) −11402.8 + 19750.3i −0.699352 + 1.21131i 0.269340 + 0.963045i \(0.413195\pi\)
−0.968691 + 0.248268i \(0.920139\pi\)
\(644\) −2298.86 3573.31i −0.140664 0.218646i
\(645\) 42051.4 19026.1i 2.56709 1.16148i
\(646\) −5351.28 −0.325918
\(647\) −5936.93 10283.1i −0.360750 0.624837i 0.627335 0.778750i \(-0.284146\pi\)
−0.988084 + 0.153913i \(0.950812\pi\)
\(648\) 8566.29 6544.06i 0.519314 0.396721i
\(649\) −459.744 + 796.300i −0.0278067 + 0.0481626i
\(650\) −5289.07 9160.93i −0.319160 0.552802i
\(651\) −3268.68 2114.67i −0.196789 0.127312i
\(652\) −2215.60 + 3837.52i −0.133082 + 0.230505i
\(653\) −13827.9 23950.5i −0.828676 1.43531i −0.899077 0.437791i \(-0.855761\pi\)
0.0704007 0.997519i \(-0.477572\pi\)
\(654\) 351.385 3548.21i 0.0210095 0.212150i
\(655\) 23564.3 40814.7i 1.40570 2.43475i
\(656\) −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 \(-0.479529\pi\)
\(660\) −13055.3 9365.90i −0.769967 0.552374i
\(661\) −12918.8 −0.760185 −0.380092 0.924949i \(-0.624108\pi\)
−0.380092 + 0.924949i \(0.624108\pi\)
\(662\) −1751.42 −0.102826
\(663\) −19263.6 13819.7i −1.12841 0.809521i
\(664\) 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
\(668\) −1034.10 + 1791.11i −0.0598958 + 0.103743i
\(669\) −204.115 + 2061.11i −0.0117960 + 0.119114i
\(670\) −3400.47 5889.78i −0.196077 0.339615i
\(671\) −4953.11 + 8579.04i −0.284967 + 0.493577i
\(672\) 12873.8 + 8328.68i 0.739013 + 0.478104i
\(673\) 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
\(675\) 21563.0 + 23096.7i 1.22957 + 1.31703i
\(676\) 290.745 + 503.585i 0.0165422 + 0.0286519i
\(677\) 26060.0 1.47942 0.739710 0.672926i \(-0.234963\pi\)
0.739710 + 0.672926i \(0.234963\pi\)
\(678\) 3740.14 1692.22i 0.211857 0.0958546i
\(679\) 14150.1 + 21994.8i 0.799753 + 1.24312i
\(680\) −13222.2 + 22901.6i −0.745660 + 1.29152i
\(681\) −13145.6 + 5947.72i −0.739708 + 0.334680i
\(682\) 467.506 809.744i 0.0262489 0.0454644i
\(683\) −6109.75 10582.4i −0.342289 0.592862i 0.642569 0.766228i \(-0.277869\pi\)
−0.984857 + 0.173367i \(0.944535\pi\)
\(684\) −10599.1 2120.08i −0.592492 0.118513i
\(685\) 52856.2 2.94822
\(686\) −6183.97 + 898.236i −0.344177 + 0.0499924i
\(687\) −514.679 + 5197.11i −0.0285826 + 0.288621i
\(688\) 9899.34 + 17146.2i 0.548559 + 0.950132i
\(689\) −1258.25 −0.0695725
\(690\) −2843.18 + 1286.39i −0.156866 + 0.0709741i
\(691\) 2678.31 0.147449 0.0737247 0.997279i \(-0.476511\pi\)
0.0737247 + 0.997279i \(0.476511\pi\)
\(692\) 13006.4 0.714495
\(693\) 11618.3 + 1748.07i 0.636857 + 0.0958207i
\(694\) −3786.65 −0.207117
\(695\) −28457.0 −1.55315
\(696\) −1232.45 + 12445.0i −0.0671204 + 0.677767i
\(697\) 6874.16 0.373569
\(698\) 1065.86 + 1846.12i 0.0577985 + 0.100110i
\(699\) 10788.3 4881.14i 0.583762 0.264123i
\(700\) −13428.7 + 26078.8i −0.725080 + 1.40812i
\(701\) −6169.00 −0.332382 −0.166191 0.986094i \(-0.553147\pi\)
−0.166191 + 0.986094i \(0.553147\pi\)
\(702\) 4496.71 + 4816.56i 0.241763 + 0.258959i
\(703\) 7283.51 + 12615.4i 0.390758 + 0.676813i
\(704\) 2079.02 3600.97i 0.111301 0.192779i
\(705\) −2538.31 + 25631.3i −0.135600 + 1.36926i
\(706\) −2785.65 + 4824.89i −0.148498 + 0.257205i
\(707\) 11882.4 23075.8i 0.632082 1.22752i
\(708\) 1161.93 + 833.565i 0.0616777 + 0.0442476i
\(709\) −34544.5 −1.82982 −0.914912 0.403654i \(-0.867740\pi\)
−0.914912 + 0.403654i \(0.867740\pi\)
\(710\) 6310.89 + 10930.8i 0.333582 + 0.577781i
\(711\) −5941.23 17564.0i −0.313381 0.926446i
\(712\) −7823.99 + 13551.5i −0.411821 + 0.713295i
\(713\) 659.882 + 1142.95i 0.0346603 + 0.0600333i
\(714\) 457.800 9034.58i 0.0239954 0.473544i
\(715\) 10497.2 18181.6i 0.549051 0.950984i
\(716\) 8298.52 + 14373.5i 0.433143 + 0.750226i
\(717\) 10653.5 4820.15i 0.554896 0.251062i
\(718\) −3631.28 + 6289.55i −0.188744 + 0.326914i
\(719\) 6508.90 11273.7i 0.337609 0.584756i −0.646373 0.763021i \(-0.723715\pi\)
0.983982 + 0.178265i \(0.0570485\pi\)
\(720\) −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
\(723\) 5664.50 2562.90i 0.291376 0.131833i
\(724\) −22758.0 −1.16822
\(725\) −36656.9 −1.87780
\(726\) 392.376 3962.13i 0.0200585 0.202546i
\(727\) 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
\(731\) 22678.5 39280.3i 1.14746 1.98746i
\(732\) 12518.1 + 8980.52i 0.632082 + 0.453456i
\(733\) 16030.0 + 27764.8i 0.807753 + 1.39907i 0.914417 + 0.404774i \(0.132650\pi\)
−0.106664 + 0.994295i \(0.534017\pi\)
\(734\) −5858.59 + 10147.4i −0.294611 + 0.510281i
\(735\) 84.9690 33353.9i 0.00426412 1.67385i
\(736\) −2598.96 4501.53i −0.130162 0.225447i
\(737\) 4340.09 7517.25i 0.216919 0.375714i
\(738\) −1873.48 374.743i −0.0934469 0.0186917i
\(739\) 11637.3 + 20156.5i 0.579278 + 1.00334i 0.995562 + 0.0941045i \(0.0299988\pi\)
−0.416284 + 0.909235i \(0.636668\pi\)
\(740\) 33676.0 1.67291
\(741\) 1391.86 14054.7i 0.0690032 0.696779i
\(742\) −259.758 403.765i −0.0128518 0.0199766i
\(743\) −5197.48 + 9002.30i −0.256631 + 0.444498i −0.965337 0.261006i \(-0.915946\pi\)
0.708706 + 0.705504i \(0.249279\pi\)
\(744\) −2525.66 1811.91i −0.124456 0.0892848i
\(745\) −12779.9 + 22135.4i −0.628481 + 1.08856i
\(746\) −3412.28 5910.25i −0.167470 0.290066i
\(747\) 1749.61 1990.75i 0.0856959 0.0975068i
\(748\) −15789.5 −0.771819
\(749\) −993.305 + 1929.02i −0.0484574 + 0.0941054i
\(750\) 7789.68 + 5588.32i 0.379252 + 0.272075i
\(751\) −10421.9 18051.2i −0.506390 0.877094i −0.999973 0.00739463i \(-0.997646\pi\)
0.493582 0.869699i \(-0.335687\pi\)
\(752\) −11048.5 −0.535769
\(753\) −7713.16 5533.42i −0.373284 0.267794i
\(754\) −7644.38 −0.369220
\(755\) −48022.6 −2.31486
\(756\) 4486.07 17713.0i 0.215816 0.852139i
\(757\) −2016.92 −0.0968376 −0.0484188 0.998827i \(-0.515418\pi\)
−0.0484188 + 0.998827i \(0.515418\pi\)
\(758\) 6384.77 0.305944
\(759\) −3236.29 2321.71i −0.154769 0.111031i
\(760\) −15753.6 −0.751900
\(761\) 4382.28 + 7590.33i 0.208748 + 0.361563i 0.951320 0.308203i \(-0.0997277\pi\)
−0.742572 + 0.669766i \(0.766394\pi\)
\(762\) 4780.41 + 3429.46i 0.227265 + 0.163040i
\(763\) −6989.83 10864.9i −0.331650 0.515512i
\(764\) −8299.10 −0.392999
\(765\) 47347.0 + 9470.59i 2.23769 + 0.447594i
\(766\) −3643.22 6310.24i −0.171847 0.297648i
\(767\) −934.247 + 1618.16i −0.0439814 + 0.0761780i
\(768\) 39.4881 + 28.3287i 0.00185534 + 0.00133102i
\(769\) −3372.48 + 5841.30i −0.158146 + 0.273918i −0.934200 0.356749i \(-0.883885\pi\)
0.776054 + 0.630667i \(0.217218\pi\)
\(770\) 8001.45 385.016i 0.374484 0.0180195i
\(771\) −1215.03 + 12269.1i −0.0567551 + 0.573101i
\(772\) 22892.9 1.06727
\(773\) 18762.5 + 32497.5i 0.873013 +