Properties

Label 63.4.s.a.47.6
Level $63$
Weight $4$
Character 63.47
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.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.6
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.00186 + 1.73312i) q^{2} +(2.62001 + 4.48727i) q^{3} +(2.00744 - 3.47699i) q^{4} +18.0540 q^{5} +(-15.6419 - 8.92935i) q^{6} +(12.2090 + 13.9263i) q^{7} -13.8134i q^{8} +(-13.2711 + 23.5133i) q^{9} +O(q^{10})\) \(q+(-3.00186 + 1.73312i) q^{2} +(2.62001 + 4.48727i) q^{3} +(2.00744 - 3.47699i) q^{4} +18.0540 q^{5} +(-15.6419 - 8.92935i) q^{6} +(12.2090 + 13.9263i) q^{7} -13.8134i q^{8} +(-13.2711 + 23.5133i) q^{9} +(-54.1956 + 31.2898i) q^{10} -11.7949i q^{11} +(20.8617 - 0.101807i) q^{12} +(-45.9746 + 26.5435i) q^{13} +(-60.7856 - 20.6450i) q^{14} +(47.3016 + 81.0132i) q^{15} +(39.9999 + 69.2818i) q^{16} +(-5.93967 - 10.2878i) q^{17} +(-0.913423 - 93.5842i) q^{18} +(-12.1984 - 7.04273i) q^{19} +(36.2423 - 62.7736i) q^{20} +(-30.5032 + 91.2719i) q^{21} +(20.4421 + 35.4067i) q^{22} -161.271i q^{23} +(61.9845 - 36.1912i) q^{24} +200.947 q^{25} +(92.0062 - 159.359i) q^{26} +(-140.281 + 2.05389i) q^{27} +(72.9302 - 14.4944i) q^{28} +(131.443 + 75.8889i) q^{29} +(-282.399 - 161.211i) q^{30} +(-78.0806 - 45.0799i) q^{31} +(-144.446 - 83.3959i) q^{32} +(52.9270 - 30.9028i) q^{33} +(35.6601 + 20.5884i) q^{34} +(220.421 + 251.425i) q^{35} +(55.1145 + 93.3452i) q^{36} +(185.189 - 320.757i) q^{37} +48.8237 q^{38} +(-239.561 - 136.756i) q^{39} -249.388i q^{40} +(129.206 + 223.791i) q^{41} +(-66.6191 - 326.851i) q^{42} +(-173.288 + 300.144i) q^{43} +(-41.0108 - 23.6776i) q^{44} +(-239.597 + 424.510i) q^{45} +(279.503 + 484.114i) q^{46} +(-35.8309 - 62.0610i) q^{47} +(-206.086 + 361.009i) q^{48} +(-44.8812 + 340.051i) q^{49} +(-603.216 + 348.267i) q^{50} +(30.6022 - 53.6070i) q^{51} +213.138i q^{52} +(-143.612 + 82.9146i) q^{53} +(417.544 - 249.290i) q^{54} -212.946i q^{55} +(192.369 - 168.648i) q^{56} +(-0.357172 - 73.1894i) q^{57} -526.100 q^{58} +(287.667 - 498.255i) q^{59} +(376.637 - 1.83803i) q^{60} +(429.888 - 248.196i) q^{61} +312.516 q^{62} +(-489.480 + 102.257i) q^{63} -61.8567 q^{64} +(-830.027 + 479.216i) q^{65} +(-105.321 + 184.495i) q^{66} +(350.424 - 606.952i) q^{67} -47.6941 q^{68} +(723.668 - 422.532i) q^{69} +(-1097.42 - 372.725i) q^{70} -1134.69i q^{71} +(324.800 + 183.320i) q^{72} +(281.645 - 162.608i) q^{73} +1283.82i q^{74} +(526.483 + 901.705i) q^{75} +(-48.9750 + 28.2757i) q^{76} +(164.259 - 144.004i) q^{77} +(956.146 - 4.66609i) q^{78} +(261.939 + 453.692i) q^{79} +(722.159 + 1250.82i) q^{80} +(-376.754 - 624.098i) q^{81} +(-775.717 - 447.860i) q^{82} +(-410.436 + 710.896i) q^{83} +(256.118 + 289.282i) q^{84} +(-107.235 - 185.736i) q^{85} -1201.32i q^{86} +(3.84870 + 788.652i) q^{87} -162.928 q^{88} +(181.259 - 313.950i) q^{89} +(-16.4910 - 1689.57i) q^{90} +(-930.955 - 316.186i) q^{91} +(-560.739 - 323.743i) q^{92} +(-2.28622 - 468.478i) q^{93} +(215.119 + 124.199i) q^{94} +(-220.230 - 127.150i) q^{95} +(-4.22941 - 866.665i) q^{96} +(-273.568 - 157.944i) q^{97} +(-454.624 - 1098.57i) q^{98} +(277.338 + 156.532i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.00186 + 1.73312i −1.06132 + 0.612752i −0.925796 0.378023i \(-0.876604\pi\)
−0.135521 + 0.990774i \(0.543271\pi\)
\(3\) 2.62001 + 4.48727i 0.504220 + 0.863575i
\(4\) 2.00744 3.47699i 0.250930 0.434623i
\(5\) 18.0540 1.61480 0.807400 0.590004i \(-0.200874\pi\)
0.807400 + 0.590004i \(0.200874\pi\)
\(6\) −15.6419 8.92935i −1.06430 0.607565i
\(7\) 12.2090 + 13.9263i 0.659223 + 0.751947i
\(8\) 13.8134i 0.610473i
\(9\) −13.2711 + 23.5133i −0.491524 + 0.870864i
\(10\) −54.1956 + 31.2898i −1.71382 + 0.989472i
\(11\) 11.7949i 0.323300i −0.986848 0.161650i \(-0.948318\pi\)
0.986848 0.161650i \(-0.0516816\pi\)
\(12\) 20.8617 0.101807i 0.501854 0.00244910i
\(13\) −45.9746 + 26.5435i −0.980851 + 0.566295i −0.902527 0.430633i \(-0.858290\pi\)
−0.0783244 + 0.996928i \(0.524957\pi\)
\(14\) −60.7856 20.6450i −1.16040 0.394114i
\(15\) 47.3016 + 81.0132i 0.814215 + 1.39450i
\(16\) 39.9999 + 69.2818i 0.624998 + 1.08253i
\(17\) −5.93967 10.2878i −0.0847401 0.146774i 0.820540 0.571589i \(-0.193673\pi\)
−0.905280 + 0.424814i \(0.860339\pi\)
\(18\) −0.913423 93.5842i −0.0119609 1.22545i
\(19\) −12.1984 7.04273i −0.147289 0.0850376i 0.424544 0.905407i \(-0.360434\pi\)
−0.571834 + 0.820370i \(0.693768\pi\)
\(20\) 36.2423 62.7736i 0.405202 0.701830i
\(21\) −30.5032 + 91.2719i −0.316969 + 0.948436i
\(22\) 20.4421 + 35.4067i 0.198103 + 0.343124i
\(23\) 161.271i 1.46206i −0.682344 0.731031i \(-0.739040\pi\)
0.682344 0.731031i \(-0.260960\pi\)
\(24\) 61.9845 36.1912i 0.527189 0.307813i
\(25\) 200.947 1.60758
\(26\) 92.0062 159.359i 0.693997 1.20204i
\(27\) −140.281 + 2.05389i −0.999893 + 0.0146397i
\(28\) 72.9302 14.4944i 0.492233 0.0978278i
\(29\) 131.443 + 75.8889i 0.841670 + 0.485939i 0.857832 0.513931i \(-0.171811\pi\)
−0.0161612 + 0.999869i \(0.505145\pi\)
\(30\) −282.399 161.211i −1.71862 0.981097i
\(31\) −78.0806 45.0799i −0.452377 0.261180i 0.256457 0.966556i \(-0.417445\pi\)
−0.708834 + 0.705376i \(0.750778\pi\)
\(32\) −144.446 83.3959i −0.797958 0.460701i
\(33\) 52.9270 30.9028i 0.279194 0.163015i
\(34\) 35.6601 + 20.5884i 0.179872 + 0.103849i
\(35\) 220.421 + 251.425i 1.06451 + 1.21424i
\(36\) 55.1145 + 93.3452i 0.255160 + 0.432154i
\(37\) 185.189 320.757i 0.822835 1.42519i −0.0807273 0.996736i \(-0.525724\pi\)
0.903563 0.428456i \(-0.140942\pi\)
\(38\) 48.8237 0.208428
\(39\) −239.561 136.756i −0.983603 0.561502i
\(40\) 249.388i 0.985792i
\(41\) 129.206 + 223.791i 0.492161 + 0.852447i 0.999959 0.00902843i \(-0.00287388\pi\)
−0.507798 + 0.861476i \(0.669541\pi\)
\(42\) −66.6191 326.851i −0.244751 1.20081i
\(43\) −173.288 + 300.144i −0.614563 + 1.06446i 0.375897 + 0.926661i \(0.377334\pi\)
−0.990461 + 0.137794i \(0.955999\pi\)
\(44\) −41.0108 23.6776i −0.140514 0.0811257i
\(45\) −239.597 + 424.510i −0.793713 + 1.40627i
\(46\) 279.503 + 484.114i 0.895881 + 1.55171i
\(47\) −35.8309 62.0610i −0.111202 0.192607i 0.805053 0.593202i \(-0.202137\pi\)
−0.916255 + 0.400596i \(0.868803\pi\)
\(48\) −206.086 + 361.009i −0.619708 + 1.08557i
\(49\) −44.8812 + 340.051i −0.130849 + 0.991402i
\(50\) −603.216 + 348.267i −1.70615 + 0.985047i
\(51\) 30.6022 53.6070i 0.0840228 0.147186i
\(52\) 213.138i 0.568401i
\(53\) −143.612 + 82.9146i −0.372201 + 0.214890i −0.674420 0.738348i \(-0.735606\pi\)
0.302219 + 0.953239i \(0.402273\pi\)
\(54\) 417.544 249.290i 1.05223 0.628224i
\(55\) 212.946i 0.522065i
\(56\) 192.369 168.648i 0.459043 0.402438i
\(57\) −0.357172 73.1894i −0.000829974 0.170073i
\(58\) −526.100 −1.19104
\(59\) 287.667 498.255i 0.634765 1.09944i −0.351800 0.936075i \(-0.614430\pi\)
0.986565 0.163369i \(-0.0522362\pi\)
\(60\) 376.637 1.83803i 0.810394 0.00395480i
\(61\) 429.888 248.196i 0.902319 0.520954i 0.0243674 0.999703i \(-0.492243\pi\)
0.877952 + 0.478749i \(0.158910\pi\)
\(62\) 312.516 0.640154
\(63\) −489.480 + 102.257i −0.978868 + 0.204494i
\(64\) −61.8567 −0.120814
\(65\) −830.027 + 479.216i −1.58388 + 0.914453i
\(66\) −105.321 + 184.495i −0.196426 + 0.344087i
\(67\) 350.424 606.952i 0.638971 1.10673i −0.346687 0.937981i \(-0.612694\pi\)
0.985659 0.168750i \(-0.0539731\pi\)
\(68\) −47.6941 −0.0850553
\(69\) 723.668 422.532i 1.26260 0.737201i
\(70\) −1097.42 372.725i −1.87382 0.636416i
\(71\) 1134.69i 1.89666i −0.317289 0.948329i \(-0.602772\pi\)
0.317289 0.948329i \(-0.397228\pi\)
\(72\) 324.800 + 183.320i 0.531639 + 0.300062i
\(73\) 281.645 162.608i 0.451563 0.260710i −0.256927 0.966431i \(-0.582710\pi\)
0.708490 + 0.705721i \(0.249377\pi\)
\(74\) 1283.82i 2.01678i
\(75\) 526.483 + 901.705i 0.810574 + 1.38827i
\(76\) −48.9750 + 28.2757i −0.0739186 + 0.0426769i
\(77\) 164.259 144.004i 0.243105 0.213127i
\(78\) 956.146 4.66609i 1.38798 0.00677347i
\(79\) 261.939 + 453.692i 0.373044 + 0.646131i 0.990032 0.140841i \(-0.0449807\pi\)
−0.616988 + 0.786972i \(0.711647\pi\)
\(80\) 722.159 + 1250.82i 1.00925 + 1.74807i
\(81\) −376.754 624.098i −0.516809 0.856101i
\(82\) −775.717 447.860i −1.04468 0.603145i
\(83\) −410.436 + 710.896i −0.542786 + 0.940133i 0.455957 + 0.890002i \(0.349297\pi\)
−0.998743 + 0.0501309i \(0.984036\pi\)
\(84\) 256.118 + 289.282i 0.332675 + 0.375753i
\(85\) −107.235 185.736i −0.136838 0.237011i
\(86\) 1201.32i 1.50630i
\(87\) 3.84870 + 788.652i 0.00474280 + 0.971866i
\(88\) −162.928 −0.197366
\(89\) 181.259 313.950i 0.215881 0.373917i −0.737664 0.675168i \(-0.764071\pi\)
0.953545 + 0.301251i \(0.0974043\pi\)
\(90\) −16.4910 1689.57i −0.0193144 1.97885i
\(91\) −930.955 316.186i −1.07242 0.364234i
\(92\) −560.739 323.743i −0.635446 0.366875i
\(93\) −2.28622 468.478i −0.00254914 0.522354i
\(94\) 215.119 + 124.199i 0.236040 + 0.136278i
\(95\) −220.230 127.150i −0.237843 0.137319i
\(96\) −4.22941 866.665i −0.00449649 0.921392i
\(97\) −273.568 157.944i −0.286357 0.165328i 0.349941 0.936772i \(-0.386202\pi\)
−0.636298 + 0.771444i \(0.719535\pi\)
\(98\) −454.624 1098.57i −0.468611 1.13237i
\(99\) 277.338 + 156.532i 0.281551 + 0.158910i
\(100\) 403.390 698.691i 0.403390 0.698691i
\(101\) 752.362 0.741216 0.370608 0.928789i \(-0.379149\pi\)
0.370608 + 0.928789i \(0.379149\pi\)
\(102\) 1.04414 + 213.958i 0.00101358 + 0.207696i
\(103\) 1756.49i 1.68032i 0.542342 + 0.840158i \(0.317538\pi\)
−0.542342 + 0.840158i \(0.682462\pi\)
\(104\) 366.656 + 635.067i 0.345708 + 0.598783i
\(105\) −550.706 + 1647.82i −0.511842 + 1.53153i
\(106\) 287.402 497.796i 0.263349 0.456134i
\(107\) −1162.99 671.452i −1.05075 0.606652i −0.127892 0.991788i \(-0.540821\pi\)
−0.922860 + 0.385137i \(0.874154\pi\)
\(108\) −274.464 + 491.878i −0.244540 + 0.438250i
\(109\) −40.4130 69.9973i −0.0355125 0.0615094i 0.847723 0.530439i \(-0.177973\pi\)
−0.883235 + 0.468930i \(0.844640\pi\)
\(110\) 369.061 + 639.233i 0.319897 + 0.554077i
\(111\) 1924.52 9.39185i 1.64565 0.00803094i
\(112\) −476.478 + 1402.91i −0.401991 + 1.18359i
\(113\) −1113.30 + 642.766i −0.926821 + 0.535100i −0.885805 0.464058i \(-0.846393\pi\)
−0.0410161 + 0.999158i \(0.513059\pi\)
\(114\) 127.918 + 219.085i 0.105093 + 0.179993i
\(115\) 2911.60i 2.36094i
\(116\) 527.730 304.685i 0.422401 0.243873i
\(117\) −13.9894 1433.28i −0.0110540 1.13254i
\(118\) 1994.25i 1.55581i
\(119\) 70.7533 208.321i 0.0545037 0.160477i
\(120\) 1119.07 653.397i 0.851305 0.497056i
\(121\) 1191.88 0.895477
\(122\) −860.308 + 1490.10i −0.638432 + 1.10580i
\(123\) −665.691 + 1166.12i −0.487995 + 0.854839i
\(124\) −313.484 + 180.990i −0.227030 + 0.131076i
\(125\) 1371.16 0.981119
\(126\) 1292.13 1155.29i 0.913585 0.816836i
\(127\) −817.285 −0.571042 −0.285521 0.958372i \(-0.592167\pi\)
−0.285521 + 0.958372i \(0.592167\pi\)
\(128\) 1341.25 774.372i 0.926180 0.534730i
\(129\) −1800.84 + 8.78830i −1.22911 + 0.00599819i
\(130\) 1661.08 2877.08i 1.12067 1.94105i
\(131\) −915.328 −0.610477 −0.305239 0.952276i \(-0.598736\pi\)
−0.305239 + 0.952276i \(0.598736\pi\)
\(132\) −1.20081 246.062i −0.000791794 0.162249i
\(133\) −50.8509 255.862i −0.0331529 0.166813i
\(134\) 2429.31i 1.56612i
\(135\) −2532.64 + 37.0809i −1.61463 + 0.0236401i
\(136\) −142.110 + 82.0472i −0.0896016 + 0.0517315i
\(137\) 740.577i 0.461838i 0.972973 + 0.230919i \(0.0741732\pi\)
−0.972973 + 0.230919i \(0.925827\pi\)
\(138\) −1440.05 + 2522.59i −0.888298 + 1.55607i
\(139\) −106.660 + 61.5800i −0.0650846 + 0.0375766i −0.532189 0.846625i \(-0.678630\pi\)
0.467105 + 0.884202i \(0.345297\pi\)
\(140\) 1316.68 261.682i 0.794857 0.157972i
\(141\) 184.607 323.383i 0.110260 0.193147i
\(142\) 1966.56 + 3406.17i 1.16218 + 2.01296i
\(143\) 313.078 + 542.267i 0.183083 + 0.317110i
\(144\) −2159.89 + 21.0815i −1.24994 + 0.0121999i
\(145\) 2373.08 + 1370.10i 1.35913 + 0.784694i
\(146\) −563.640 + 976.252i −0.319501 + 0.553392i
\(147\) −1643.49 + 689.541i −0.922127 + 0.386887i
\(148\) −743.512 1287.80i −0.412948 0.715247i
\(149\) 410.006i 0.225430i 0.993627 + 0.112715i \(0.0359546\pi\)
−0.993627 + 0.112715i \(0.964045\pi\)
\(150\) −3143.20 1794.33i −1.71094 0.976710i
\(151\) −327.518 −0.176510 −0.0882550 0.996098i \(-0.528129\pi\)
−0.0882550 + 0.996098i \(0.528129\pi\)
\(152\) −97.2842 + 168.501i −0.0519131 + 0.0899162i
\(153\) 320.727 3.13043i 0.169472 0.00165412i
\(154\) −243.506 + 716.961i −0.127417 + 0.375158i
\(155\) −1409.67 813.872i −0.730499 0.421754i
\(156\) −956.405 + 558.422i −0.490857 + 0.286599i
\(157\) 1251.96 + 722.819i 0.636416 + 0.367435i 0.783232 0.621729i \(-0.213569\pi\)
−0.146817 + 0.989164i \(0.546903\pi\)
\(158\) −1572.61 907.947i −0.791836 0.457167i
\(159\) −748.325 427.190i −0.373245 0.213072i
\(160\) −2607.83 1505.63i −1.28854 0.743941i
\(161\) 2245.91 1968.96i 1.09939 0.963825i
\(162\) 2212.60 + 1220.49i 1.07308 + 0.591919i
\(163\) −66.7405 + 115.598i −0.0320707 + 0.0555481i −0.881615 0.471969i \(-0.843544\pi\)
0.849545 + 0.527517i \(0.176877\pi\)
\(164\) 1037.49 0.493991
\(165\) 955.544 557.919i 0.450843 0.263236i
\(166\) 2845.35i 1.33037i
\(167\) −1258.17 2179.21i −0.582994 1.00978i −0.995122 0.0986499i \(-0.968548\pi\)
0.412128 0.911126i \(-0.364786\pi\)
\(168\) 1260.78 + 421.354i 0.578994 + 0.193501i
\(169\) 310.611 537.994i 0.141380 0.244877i
\(170\) 643.808 + 371.703i 0.290458 + 0.167696i
\(171\) 327.484 193.359i 0.146452 0.0864711i
\(172\) 695.732 + 1205.04i 0.308425 + 0.534207i
\(173\) −1843.75 3193.47i −0.810275 1.40344i −0.912672 0.408694i \(-0.865984\pi\)
0.102396 0.994744i \(-0.467349\pi\)
\(174\) −1378.38 2360.75i −0.600546 1.02855i
\(175\) 2453.36 + 2798.45i 1.05975 + 1.20881i
\(176\) 817.174 471.796i 0.349982 0.202062i
\(177\) 2989.49 14.5890i 1.26951 0.00619536i
\(178\) 1256.58i 0.529126i
\(179\) −1545.34 + 892.205i −0.645276 + 0.372550i −0.786644 0.617407i \(-0.788183\pi\)
0.141368 + 0.989957i \(0.454850\pi\)
\(180\) 995.038 + 1685.25i 0.412032 + 0.697842i
\(181\) 1168.16i 0.479717i 0.970808 + 0.239859i \(0.0771011\pi\)
−0.970808 + 0.239859i \(0.922899\pi\)
\(182\) 3342.58 664.316i 1.36137 0.270562i
\(183\) 2240.03 + 1278.75i 0.904851 + 0.516545i
\(184\) −2227.71 −0.892549
\(185\) 3343.41 5790.95i 1.32871 2.30140i
\(186\) 818.794 + 1402.34i 0.322779 + 0.552821i
\(187\) −121.344 + 70.0579i −0.0474521 + 0.0273965i
\(188\) −287.713 −0.111615
\(189\) −1741.29 1928.51i −0.670161 0.742216i
\(190\) 881.464 0.336569
\(191\) 913.115 527.187i 0.345920 0.199717i −0.316967 0.948437i \(-0.602664\pi\)
0.662887 + 0.748720i \(0.269331\pi\)
\(192\) −162.065 277.568i −0.0609168 0.104332i
\(193\) −612.872 + 1061.53i −0.228578 + 0.395908i −0.957387 0.288809i \(-0.906741\pi\)
0.728809 + 0.684717i \(0.240074\pi\)
\(194\) 1094.95 0.405221
\(195\) −4325.05 2469.00i −1.58832 0.906713i
\(196\) 1092.26 + 838.683i 0.398053 + 0.305642i
\(197\) 799.520i 0.289155i 0.989494 + 0.144577i \(0.0461822\pi\)
−0.989494 + 0.144577i \(0.953818\pi\)
\(198\) −1103.82 + 10.7738i −0.396187 + 0.00386696i
\(199\) −2275.00 + 1313.47i −0.810406 + 0.467888i −0.847097 0.531439i \(-0.821652\pi\)
0.0366911 + 0.999327i \(0.488318\pi\)
\(200\) 2775.77i 0.981384i
\(201\) 3641.67 17.7717i 1.27793 0.00623642i
\(202\) −2258.49 + 1303.94i −0.786666 + 0.454182i
\(203\) 547.943 + 2757.04i 0.189449 + 0.953234i
\(204\) −124.959 214.016i −0.0428866 0.0734516i
\(205\) 2332.69 + 4040.33i 0.794741 + 1.37653i
\(206\) −3044.22 5272.75i −1.02962 1.78335i
\(207\) 3792.03 + 2140.26i 1.27326 + 0.718638i
\(208\) −3677.96 2123.47i −1.22606 0.707867i
\(209\) −83.0685 + 143.879i −0.0274927 + 0.0476187i
\(210\) −1202.74 5900.98i −0.395224 1.93908i
\(211\) −1004.95 1740.62i −0.327883 0.567911i 0.654208 0.756315i \(-0.273002\pi\)
−0.982092 + 0.188404i \(0.939669\pi\)
\(212\) 665.784i 0.215690i
\(213\) 5091.65 2972.89i 1.63791 0.956333i
\(214\) 4654.84 1.48691
\(215\) −3128.55 + 5418.81i −0.992397 + 1.71888i
\(216\) 28.3712 + 1937.76i 0.00893712 + 0.610407i
\(217\) −325.492 1637.75i −0.101824 0.512340i
\(218\) 242.628 + 140.081i 0.0753800 + 0.0435207i
\(219\) 1467.58 + 837.784i 0.452830 + 0.258503i
\(220\) −740.409 427.475i −0.226902 0.131002i
\(221\) 546.148 + 315.319i 0.166235 + 0.0959758i
\(222\) −5760.86 + 3363.62i −1.74164 + 1.01690i
\(223\) −3897.23 2250.07i −1.17030 0.675676i −0.216553 0.976271i \(-0.569481\pi\)
−0.953752 + 0.300595i \(0.902815\pi\)
\(224\) −602.146 3029.77i −0.179610 0.903728i
\(225\) −2666.80 + 4724.94i −0.790164 + 1.39998i
\(226\) 2227.99 3858.98i 0.655767 1.13582i
\(227\) −3274.95 −0.957560 −0.478780 0.877935i \(-0.658921\pi\)
−0.478780 + 0.877935i \(0.658921\pi\)
\(228\) −255.195 145.681i −0.0741260 0.0423157i
\(229\) 1333.70i 0.384861i −0.981311 0.192430i \(-0.938363\pi\)
0.981311 0.192430i \(-0.0616370\pi\)
\(230\) 5046.16 + 8740.20i 1.44667 + 2.50570i
\(231\) 1076.54 + 359.783i 0.306630 + 0.102476i
\(232\) 1048.29 1815.68i 0.296652 0.513817i
\(233\) −678.031 391.461i −0.190641 0.110066i 0.401642 0.915797i \(-0.368440\pi\)
−0.592282 + 0.805730i \(0.701773\pi\)
\(234\) 2526.04 + 4278.26i 0.705695 + 1.19521i
\(235\) −646.892 1120.45i −0.179568 0.311022i
\(236\) −1154.95 2000.43i −0.318563 0.551767i
\(237\) −1349.56 + 2364.07i −0.369886 + 0.647944i
\(238\) 148.655 + 747.975i 0.0404868 + 0.203714i
\(239\) −4512.91 + 2605.53i −1.22141 + 0.705179i −0.965217 0.261449i \(-0.915800\pi\)
−0.256188 + 0.966627i \(0.582466\pi\)
\(240\) −3720.68 + 6517.66i −1.00070 + 1.75297i
\(241\) 2688.96i 0.718718i 0.933199 + 0.359359i \(0.117005\pi\)
−0.933199 + 0.359359i \(0.882995\pi\)
\(242\) −3577.86 + 2065.68i −0.950385 + 0.548705i
\(243\) 1813.40 3325.73i 0.478722 0.877967i
\(244\) 1992.95i 0.522892i
\(245\) −810.286 + 6139.29i −0.211295 + 1.60092i
\(246\) −22.7132 4654.24i −0.00588675 1.20628i
\(247\) 747.754 0.192625
\(248\) −622.707 + 1078.56i −0.159443 + 0.276164i
\(249\) −4265.33 + 20.8152i −1.08556 + 0.00529764i
\(250\) −4116.02 + 2376.38i −1.04128 + 0.601183i
\(251\) 2540.09 0.638762 0.319381 0.947626i \(-0.396525\pi\)
0.319381 + 0.947626i \(0.396525\pi\)
\(252\) −627.056 + 1907.19i −0.156749 + 0.476752i
\(253\) −1902.18 −0.472685
\(254\) 2453.38 1416.46i 0.606057 0.349907i
\(255\) 552.492 967.822i 0.135680 0.237676i
\(256\) −2436.74 + 4220.56i −0.594907 + 1.03041i
\(257\) 3869.69 0.939240 0.469620 0.882869i \(-0.344391\pi\)
0.469620 + 0.882869i \(0.344391\pi\)
\(258\) 5390.65 3147.47i 1.30080 0.759507i
\(259\) 6727.92 1337.13i 1.61410 0.320792i
\(260\) 3847.99i 0.917854i
\(261\) −3528.81 + 2083.54i −0.836888 + 0.494130i
\(262\) 2747.68 1586.38i 0.647910 0.374071i
\(263\) 2269.40i 0.532082i −0.963962 0.266041i \(-0.914284\pi\)
0.963962 0.266041i \(-0.0857156\pi\)
\(264\) −426.873 731.103i −0.0995160 0.170440i
\(265\) −2592.78 + 1496.94i −0.601030 + 0.347005i
\(266\) 596.088 + 679.932i 0.137400 + 0.156727i
\(267\) 1883.68 9.19254i 0.431757 0.00210702i
\(268\) −1406.91 2436.84i −0.320674 0.555424i
\(269\) 1363.14 + 2361.02i 0.308967 + 0.535146i 0.978137 0.207964i \(-0.0666836\pi\)
−0.669170 + 0.743109i \(0.733350\pi\)
\(270\) 7538.35 4500.69i 1.69915 1.01446i
\(271\) 5611.15 + 3239.60i 1.25776 + 0.726168i 0.972639 0.232323i \(-0.0746326\pi\)
0.285122 + 0.958491i \(0.407966\pi\)
\(272\) 475.172 823.023i 0.105925 0.183467i
\(273\) −1020.30 5005.85i −0.226195 1.10977i
\(274\) −1283.51 2223.11i −0.282992 0.490157i
\(275\) 2370.16i 0.519731i
\(276\) −16.4186 3364.39i −0.00358073 0.733741i
\(277\) −8202.60 −1.77923 −0.889615 0.456711i \(-0.849027\pi\)
−0.889615 + 0.456711i \(0.849027\pi\)
\(278\) 213.452 369.709i 0.0460503 0.0797614i
\(279\) 2096.20 1237.67i 0.449806 0.265583i
\(280\) 3473.04 3044.77i 0.741263 0.649857i
\(281\) 586.668 + 338.713i 0.124547 + 0.0719072i 0.560979 0.827830i \(-0.310425\pi\)
−0.436432 + 0.899737i \(0.643758\pi\)
\(282\) 6.29873 + 1290.70i 0.00133009 + 0.272553i
\(283\) 2134.41 + 1232.30i 0.448331 + 0.258844i 0.707125 0.707089i \(-0.249992\pi\)
−0.258794 + 0.965932i \(0.583325\pi\)
\(284\) −3945.30 2277.82i −0.824332 0.475928i
\(285\) −6.44838 1321.36i −0.00134024 0.274634i
\(286\) −1879.63 1085.21i −0.388619 0.224369i
\(287\) −1539.10 + 4531.62i −0.316552 + 0.932032i
\(288\) 3877.88 2289.65i 0.793424 0.468468i
\(289\) 2385.94 4132.57i 0.485638 0.841150i
\(290\) −9498.21 −1.92329
\(291\) −8.01014 1641.39i −0.00161362 0.330652i
\(292\) 1305.70i 0.261680i
\(293\) 3122.10 + 5407.64i 0.622510 + 1.07822i 0.989017 + 0.147803i \(0.0472202\pi\)
−0.366507 + 0.930415i \(0.619446\pi\)
\(294\) 3738.46 4918.28i 0.741604 0.975645i
\(295\) 5193.55 8995.49i 1.02502 1.77538i
\(296\) −4430.75 2558.10i −0.870041 0.502319i
\(297\) 24.2255 + 1654.60i 0.00473301 + 0.323266i
\(298\) −710.591 1230.78i −0.138132 0.239252i
\(299\) 4280.70 + 7414.39i 0.827958 + 1.43407i
\(300\) 4192.10 20.4579i 0.806770 0.00393712i
\(301\) −6295.56 + 1251.20i −1.20555 + 0.239594i
\(302\) 983.162 567.629i 0.187333 0.108157i
\(303\) 1971.19 + 3376.05i 0.373736 + 0.640096i
\(304\) 1126.83i 0.212593i
\(305\) 7761.20 4480.93i 1.45707 0.841237i
\(306\) −957.352 + 565.257i −0.178850 + 0.105600i
\(307\) 6996.15i 1.30062i −0.759667 0.650312i \(-0.774638\pi\)
0.759667 0.650312i \(-0.225362\pi\)
\(308\) −170.960 860.206i −0.0316278 0.159139i
\(309\) −7881.86 + 4602.02i −1.45108 + 0.847249i
\(310\) 5642.17 1.03372
\(311\) 1070.95 1854.95i 0.195268 0.338214i −0.751721 0.659482i \(-0.770776\pi\)
0.946988 + 0.321268i \(0.104109\pi\)
\(312\) −1889.07 + 3309.16i −0.342781 + 0.600463i
\(313\) −4695.94 + 2711.20i −0.848021 + 0.489605i −0.859983 0.510323i \(-0.829526\pi\)
0.0119618 + 0.999928i \(0.496192\pi\)
\(314\) −5010.94 −0.900585
\(315\) −8837.08 + 1846.14i −1.58068 + 0.330217i
\(316\) 2103.31 0.374432
\(317\) 1321.02 762.693i 0.234057 0.135133i −0.378385 0.925648i \(-0.623521\pi\)
0.612442 + 0.790515i \(0.290187\pi\)
\(318\) 2986.74 14.5756i 0.526692 0.00257031i
\(319\) 895.104 1550.37i 0.157104 0.272112i
\(320\) −1116.76 −0.195090
\(321\) −34.0526 6977.85i −0.00592097 1.21329i
\(322\) −3329.44 + 9802.98i −0.576219 + 1.69658i
\(323\) 167.326i 0.0288244i
\(324\) −2926.29 + 57.1291i −0.501764 + 0.00979581i
\(325\) −9238.48 + 5333.84i −1.57680 + 0.910364i
\(326\) 462.679i 0.0786055i
\(327\) 208.214 364.737i 0.0352119 0.0616820i
\(328\) 3091.33 1784.78i 0.520396 0.300451i
\(329\) 426.818 1256.69i 0.0715235 0.210589i
\(330\) −1901.47 + 3330.87i −0.317189 + 0.555632i
\(331\) −89.2251 154.542i −0.0148165 0.0256629i 0.858522 0.512777i \(-0.171383\pi\)
−0.873339 + 0.487114i \(0.838050\pi\)
\(332\) 1647.85 + 2854.16i 0.272402 + 0.471815i
\(333\) 5084.39 + 8611.22i 0.836706 + 1.41709i
\(334\) 7553.69 + 4361.13i 1.23748 + 0.714462i
\(335\) 6326.56 10957.9i 1.03181 1.78715i
\(336\) −7543.61 + 1537.55i −1.22481 + 0.249643i
\(337\) −1570.00 2719.33i −0.253779 0.439558i 0.710784 0.703410i \(-0.248340\pi\)
−0.964563 + 0.263852i \(0.915007\pi\)
\(338\) 2153.31i 0.346523i
\(339\) −5801.12 3311.64i −0.929421 0.530571i
\(340\) −861.070 −0.137347
\(341\) −531.713 + 920.955i −0.0844396 + 0.146254i
\(342\) −647.947 + 1148.01i −0.102447 + 0.181512i
\(343\) −5283.59 + 3526.65i −0.831741 + 0.555164i
\(344\) 4146.02 + 2393.71i 0.649821 + 0.375174i
\(345\) 13065.1 7628.40i 2.03885 1.19043i
\(346\) 11069.3 + 6390.89i 1.71992 + 0.992995i
\(347\) 3119.74 + 1801.18i 0.482640 + 0.278653i 0.721516 0.692398i \(-0.243446\pi\)
−0.238876 + 0.971050i \(0.576779\pi\)
\(348\) 2749.86 + 1569.79i 0.423586 + 0.241809i
\(349\) 4656.87 + 2688.64i 0.714259 + 0.412378i 0.812636 0.582772i \(-0.198032\pi\)
−0.0983769 + 0.995149i \(0.531365\pi\)
\(350\) −12214.7 4148.55i −1.86544 0.633570i
\(351\) 6394.85 3817.97i 0.972456 0.580594i
\(352\) −983.648 + 1703.73i −0.148945 + 0.257980i
\(353\) −4045.73 −0.610007 −0.305003 0.952351i \(-0.598658\pi\)
−0.305003 + 0.952351i \(0.598658\pi\)
\(354\) −8948.75 + 5224.95i −1.34356 + 0.784472i
\(355\) 20485.7i 3.06272i
\(356\) −727.733 1260.47i −0.108342 0.187654i
\(357\) 1120.17 228.313i 0.166066 0.0338477i
\(358\) 3092.60 5356.55i 0.456562 0.790788i
\(359\) −254.213 146.770i −0.0373729 0.0215772i 0.481197 0.876612i \(-0.340202\pi\)
−0.518570 + 0.855035i \(0.673535\pi\)
\(360\) 5863.94 + 3309.66i 0.858491 + 0.484540i
\(361\) −3330.30 5768.25i −0.485537 0.840975i
\(362\) −2024.57 3506.66i −0.293948 0.509133i
\(363\) 3122.73 + 5348.28i 0.451518 + 0.773312i
\(364\) −2968.21 + 2602.19i −0.427408 + 0.374703i
\(365\) 5084.83 2935.73i 0.729184 0.420994i
\(366\) −8940.48 + 43.6304i −1.27685 + 0.00623115i
\(367\) 7469.63i 1.06243i 0.847237 + 0.531214i \(0.178264\pi\)
−0.847237 + 0.531214i \(0.821736\pi\)
\(368\) 11173.2 6450.84i 1.58272 0.913786i
\(369\) −6976.79 + 68.0965i −0.984275 + 0.00960695i
\(370\) 23178.2i 3.25669i
\(371\) −2908.05 987.678i −0.406950 0.138215i
\(372\) −1633.48 932.492i −0.227667 0.129966i
\(373\) −13038.7 −1.80997 −0.904984 0.425445i \(-0.860118\pi\)
−0.904984 + 0.425445i \(0.860118\pi\)
\(374\) 242.838 420.608i 0.0335745 0.0581528i
\(375\) 3592.44 + 6152.74i 0.494700 + 0.847270i
\(376\) −857.274 + 494.948i −0.117581 + 0.0678856i
\(377\) −8057.42 −1.10074
\(378\) 8569.47 + 2771.25i 1.16605 + 0.377084i
\(379\) −8544.38 −1.15803 −0.579017 0.815315i \(-0.696564\pi\)
−0.579017 + 0.815315i \(0.696564\pi\)
\(380\) −884.195 + 510.490i −0.119364 + 0.0689147i
\(381\) −2141.29 3667.38i −0.287931 0.493138i
\(382\) −1827.36 + 3165.08i −0.244754 + 0.423926i
\(383\) −8835.64 −1.17880 −0.589400 0.807842i \(-0.700636\pi\)
−0.589400 + 0.807842i \(0.700636\pi\)
\(384\) 6988.90 + 3989.70i 0.928779 + 0.530204i
\(385\) 2965.54 2599.85i 0.392566 0.344158i
\(386\) 4248.73i 0.560246i
\(387\) −4757.66 8057.84i −0.624923 1.05841i
\(388\) −1098.34 + 634.128i −0.143711 + 0.0829716i
\(389\) 6280.23i 0.818561i 0.912409 + 0.409281i \(0.134220\pi\)
−0.912409 + 0.409281i \(0.865780\pi\)
\(390\) 17262.3 84.2416i 2.24130 0.0109378i
\(391\) −1659.13 + 957.899i −0.214593 + 0.123895i
\(392\) 4697.27 + 619.963i 0.605224 + 0.0798798i
\(393\) −2398.16 4107.32i −0.307815 0.527193i
\(394\) −1385.67 2400.05i −0.177180 0.306885i
\(395\) 4729.06 + 8190.96i 0.602391 + 1.04337i
\(396\) 1101.00 650.072i 0.139715 0.0824932i
\(397\) 10068.6 + 5813.13i 1.27287 + 0.734893i 0.975528 0.219877i \(-0.0705655\pi\)
0.297345 + 0.954770i \(0.403899\pi\)
\(398\) 4552.83 7885.73i 0.573398 0.993155i
\(399\) 1014.89 898.542i 0.127339 0.112740i
\(400\) 8037.87 + 13922.0i 1.00473 + 1.74025i
\(401\) 11546.0i 1.43785i −0.695087 0.718926i \(-0.744634\pi\)
0.695087 0.718926i \(-0.255366\pi\)
\(402\) −10901.0 + 6364.81i −1.35247 + 0.789671i
\(403\) 4786.30 0.591620
\(404\) 1510.32 2615.95i 0.185993 0.322150i
\(405\) −6801.91 11267.5i −0.834543 1.38243i
\(406\) −6423.15 7326.60i −0.785161 0.895599i
\(407\) −3783.30 2184.29i −0.460765 0.266023i
\(408\) −740.496 422.721i −0.0898530 0.0512936i
\(409\) 9473.70 + 5469.64i 1.14534 + 0.661263i 0.947748 0.319021i \(-0.103354\pi\)
0.197593 + 0.980284i \(0.436687\pi\)
\(410\) −14004.8 8085.67i −1.68695 0.973959i
\(411\) −3323.17 + 1940.32i −0.398832 + 0.232868i
\(412\) 6107.31 + 3526.05i 0.730304 + 0.421641i
\(413\) 10450.9 2077.05i 1.24518 0.247470i
\(414\) −15092.5 + 147.309i −1.79168 + 0.0174875i
\(415\) −7410.02 + 12834.5i −0.876491 + 1.51813i
\(416\) 8854.46 1.04357
\(417\) −555.775 317.271i −0.0652672 0.0372585i
\(418\) 575.872i 0.0673847i
\(419\) 236.117 + 408.966i 0.0275300 + 0.0476833i 0.879462 0.475969i \(-0.157902\pi\)
−0.851932 + 0.523652i \(0.824569\pi\)
\(420\) 4623.95 + 5222.70i 0.537204 + 0.606766i
\(421\) −8133.40 + 14087.5i −0.941562 + 1.63083i −0.179070 + 0.983836i \(0.557309\pi\)
−0.762492 + 0.646998i \(0.776024\pi\)
\(422\) 6033.42 + 3483.40i 0.695977 + 0.401822i
\(423\) 1934.78 18.8843i 0.222393 0.00217065i
\(424\) 1145.33 + 1983.78i 0.131185 + 0.227219i
\(425\) −1193.56 2067.31i −0.136226 0.235951i
\(426\) −10132.0 + 17748.7i −1.15234 + 2.01860i
\(427\) 8704.93 + 2956.51i 0.986560 + 0.335071i
\(428\) −4669.26 + 2695.80i −0.527330 + 0.304454i
\(429\) −1613.03 + 2825.61i −0.181534 + 0.317999i
\(430\) 21688.7i 2.43237i
\(431\) 7130.94 4117.05i 0.796949 0.460119i −0.0454539 0.998966i \(-0.514473\pi\)
0.842403 + 0.538847i \(0.181140\pi\)
\(432\) −5753.52 9636.78i −0.640779 1.07326i
\(433\) 8661.16i 0.961268i −0.876921 0.480634i \(-0.840407\pi\)
0.876921 0.480634i \(-0.159593\pi\)
\(434\) 3815.50 + 4352.18i 0.422005 + 0.481362i
\(435\) 69.4845 + 14238.3i 0.00765868 + 1.56937i
\(436\) −324.506 −0.0356446
\(437\) −1135.79 + 1967.25i −0.124330 + 0.215346i
\(438\) −5857.45 + 28.5849i −0.638994 + 0.00311836i
\(439\) 10675.2 6163.34i 1.16059 0.670069i 0.209147 0.977884i \(-0.432931\pi\)
0.951446 + 0.307815i \(0.0995978\pi\)
\(440\) −2941.51 −0.318707
\(441\) −7400.11 5568.17i −0.799061 0.601250i
\(442\) −2185.95 −0.235237
\(443\) −3885.92 + 2243.54i −0.416762 + 0.240618i −0.693691 0.720273i \(-0.744017\pi\)
0.276929 + 0.960890i \(0.410683\pi\)
\(444\) 3830.70 6710.38i 0.409453 0.717253i
\(445\) 3272.45 5668.06i 0.348605 0.603801i
\(446\) 15598.6 1.65609
\(447\) −1839.81 + 1074.22i −0.194675 + 0.113666i
\(448\) −755.208 861.432i −0.0796433 0.0908456i
\(449\) 14430.4i 1.51674i 0.651827 + 0.758368i \(0.274003\pi\)
−0.651827 + 0.758368i \(0.725997\pi\)
\(450\) −183.550 18805.5i −0.0192281 1.97000i
\(451\) 2639.60 1523.98i 0.275596 0.159116i
\(452\) 5161.25i 0.537090i
\(453\) −858.098 1469.66i −0.0890000 0.152430i
\(454\) 9830.94 5675.90i 1.01628 0.586747i
\(455\) −16807.5 5708.42i −1.73175 0.588165i
\(456\) −1011.00 + 4.93376i −0.103825 + 0.000506677i
\(457\) −5999.47 10391.4i −0.614099 1.06365i −0.990542 0.137211i \(-0.956186\pi\)
0.376443 0.926440i \(-0.377147\pi\)
\(458\) 2311.46 + 4003.57i 0.235824 + 0.408460i
\(459\) 854.353 + 1430.99i 0.0868797 + 0.145518i
\(460\) −10123.6 5844.85i −1.02612 0.592430i
\(461\) −8143.25 + 14104.5i −0.822709 + 1.42497i 0.0809488 + 0.996718i \(0.474205\pi\)
−0.903658 + 0.428255i \(0.859128\pi\)
\(462\) −3855.18 + 785.767i −0.388224 + 0.0791281i
\(463\) 1256.95 + 2177.11i 0.126168 + 0.218529i 0.922189 0.386740i \(-0.126399\pi\)
−0.796021 + 0.605269i \(0.793066\pi\)
\(464\) 12142.2i 1.21484i
\(465\) −41.2755 8457.91i −0.00411635 0.843497i
\(466\) 2713.80 0.269774
\(467\) 3861.82 6688.87i 0.382663 0.662793i −0.608779 0.793340i \(-0.708340\pi\)
0.991442 + 0.130548i \(0.0416735\pi\)
\(468\) −5011.57 2828.58i −0.495000 0.279383i
\(469\) 12730.9 2530.18i 1.25343 0.249110i
\(470\) 3883.76 + 2242.29i 0.381158 + 0.220062i
\(471\) 36.6577 + 7511.67i 0.00358619 + 0.734861i
\(472\) −6882.60 3973.67i −0.671181 0.387506i
\(473\) 3540.18 + 2043.92i 0.344139 + 0.198689i
\(474\) −46.0464 9435.55i −0.00446199 0.914323i
\(475\) −2451.23 1415.22i −0.236779 0.136705i
\(476\) −582.297 664.200i −0.0560704 0.0639571i
\(477\) −43.6992 4477.17i −0.00419465 0.429760i
\(478\) 9031.41 15642.9i 0.864199 1.49684i
\(479\) −84.8570 −0.00809439 −0.00404720 0.999992i \(-0.501288\pi\)
−0.00404720 + 0.999992i \(0.501288\pi\)
\(480\) −76.3579 15646.8i −0.00726093 1.48786i
\(481\) 19662.2i 1.86387i
\(482\) −4660.30 8071.87i −0.440396 0.762788i
\(483\) 14719.5 + 4919.30i 1.38667 + 0.463428i
\(484\) 2392.63 4144.15i 0.224702 0.389195i
\(485\) −4939.00 2851.53i −0.462409 0.266972i
\(486\) 320.348 + 13126.2i 0.0298997 + 1.22514i
\(487\) 2652.69 + 4594.60i 0.246828 + 0.427518i 0.962644 0.270771i \(-0.0872785\pi\)
−0.715816 + 0.698289i \(0.753945\pi\)
\(488\) −3428.43 5938.22i −0.318028 0.550841i
\(489\) −693.580 + 3.38474i −0.0641406 + 0.000313013i
\(490\) −8207.78 19833.6i −0.756714 1.82855i
\(491\) 752.365 434.378i 0.0691523 0.0399251i −0.465025 0.885297i \(-0.653955\pi\)
0.534177 + 0.845372i \(0.320621\pi\)
\(492\) 2718.24 + 4655.51i 0.249080 + 0.426599i
\(493\) 1803.02i 0.164714i
\(494\) −2244.65 + 1295.95i −0.204437 + 0.118032i
\(495\) 5007.06 + 2826.03i 0.454648 + 0.256608i
\(496\) 7212.76i 0.652948i
\(497\) 15802.0 13853.4i 1.42619 1.25032i
\(498\) 12767.8 7454.83i 1.14888 0.670801i
\(499\) −1798.26 −0.161325 −0.0806625 0.996741i \(-0.525704\pi\)
−0.0806625 + 0.996741i \(0.525704\pi\)
\(500\) 2752.51 4767.49i 0.246192 0.426417i
\(501\) 6482.30 11355.3i 0.578060 1.01261i
\(502\) −7625.00 + 4402.29i −0.677929 + 0.391402i
\(503\) −307.609 −0.0272676 −0.0136338 0.999907i \(-0.504340\pi\)
−0.0136338 + 0.999907i \(0.504340\pi\)
\(504\) 1412.51 + 6761.39i 0.124838 + 0.597572i
\(505\) 13583.2 1.19692
\(506\) 5710.09 3296.72i 0.501669 0.289639i
\(507\) 3227.93 15.7526i 0.282756 0.00137988i
\(508\) −1640.65 + 2841.69i −0.143292 + 0.248188i
\(509\) 2810.41 0.244733 0.122367 0.992485i \(-0.460952\pi\)
0.122367 + 0.992485i \(0.460952\pi\)
\(510\) 18.8509 + 3862.80i 0.00163673 + 0.335388i
\(511\) 5703.12 + 1936.99i 0.493721 + 0.167685i
\(512\) 4502.73i 0.388661i
\(513\) 1725.67 + 962.908i 0.148519 + 0.0828722i
\(514\) −11616.3 + 6706.65i −0.996832 + 0.575521i
\(515\) 31711.8i 2.71337i
\(516\) −3584.53 + 6279.15i −0.305814 + 0.535706i
\(517\) −732.004 + 422.623i −0.0622698 + 0.0359515i
\(518\) −17878.8 + 15674.2i −1.51651 + 1.32951i
\(519\) 9499.30 16640.3i 0.803417 1.40738i
\(520\) 6619.62 + 11465.5i 0.558249 + 0.966915i
\(521\) 2227.32 + 3857.83i 0.187295 + 0.324405i 0.944348 0.328950i \(-0.106695\pi\)
−0.757052 + 0.653354i \(0.773361\pi\)
\(522\) 6981.95 12370.4i 0.585424 1.03723i
\(523\) 6168.37 + 3561.31i 0.515724 + 0.297754i 0.735184 0.677868i \(-0.237096\pi\)
−0.219459 + 0.975622i \(0.570429\pi\)
\(524\) −1837.46 + 3182.58i −0.153187 + 0.265328i
\(525\) −6129.54 + 18340.8i −0.509553 + 1.52469i
\(526\) 3933.16 + 6812.43i 0.326034 + 0.564708i
\(527\) 1071.04i 0.0885297i
\(528\) 4258.07 + 2430.77i 0.350964 + 0.200352i
\(529\) −13841.5 −1.13762
\(530\) 5188.77 8987.21i 0.425256 0.736565i
\(531\) 7897.95 + 13376.4i 0.645465 + 1.09320i
\(532\) −991.710 336.820i −0.0808197 0.0274493i
\(533\) −11880.4 6859.15i −0.965473 0.557416i
\(534\) −5638.60 + 3292.24i −0.456940 + 0.266796i
\(535\) −20996.6 12122.4i −1.69675 0.979621i
\(536\) −8384.08 4840.55i −0.675629 0.390075i
\(537\) −8052.37 4596.79i −0.647086 0.369397i
\(538\) −8183.90 4724.98i −0.655823 0.378640i
\(539\) 4010.88 + 529.370i 0.320521 + 0.0423035i
\(540\) −4955.18 + 8880.38i −0.394884 + 0.707687i
\(541\) −4251.18 + 7363.26i −0.337842 + 0.585159i −0.984027 0.178022i \(-0.943030\pi\)
0.646185 + 0.763181i \(0.276364\pi\)
\(542\) −22458.5 −1.77984
\(543\) −5241.86 + 3060.59i −0.414272 + 0.241883i
\(544\) 1981.38i 0.156160i
\(545\) −729.616 1263.73i −0.0573456 0.0993254i
\(546\) 11738.6 + 13258.6i 0.920080 + 1.03922i
\(547\) −9900.32 + 17147.9i −0.773870 + 1.34038i 0.161557 + 0.986863i \(0.448348\pi\)
−0.935427 + 0.353519i \(0.884985\pi\)
\(548\) 2574.98 + 1486.66i 0.200725 + 0.115889i
\(549\) 130.809 + 13401.9i 0.0101690 + 1.04186i
\(550\) 4107.78 + 7114.88i 0.318466 + 0.551599i
\(551\) −1068.93 1851.44i −0.0826461 0.143147i
\(552\) −5836.61 9996.33i −0.450041 0.770783i
\(553\) −3120.22 + 9186.96i −0.239937 + 0.706454i
\(554\) 24623.1 14216.1i 1.88833 1.09023i
\(555\) 34745.3 169.561i 2.65740 0.0129684i
\(556\) 494.472i 0.0377164i
\(557\) −1286.96 + 743.026i −0.0978998 + 0.0565225i −0.548151 0.836380i \(-0.684668\pi\)
0.450251 + 0.892902i \(0.351335\pi\)
\(558\) −4147.44 + 7348.29i −0.314651 + 0.557487i
\(559\) 18398.7i 1.39210i
\(560\) −8602.35 + 25328.2i −0.649135 + 1.91127i
\(561\) −632.291 360.950i −0.0475853 0.0271646i
\(562\) −2348.13 −0.176245
\(563\) 1714.09 2968.89i 0.128313 0.222245i −0.794710 0.606989i \(-0.792377\pi\)
0.923023 + 0.384744i \(0.125710\pi\)
\(564\) −753.811 1291.05i −0.0562787 0.0963881i
\(565\) −20099.6 + 11604.5i −1.49663 + 0.864080i
\(566\) −8542.94 −0.634428
\(567\) 4091.56 12866.4i 0.303050 0.952975i
\(568\) −15673.9 −1.15786
\(569\) −13439.2 + 7759.11i −0.990157 + 0.571667i −0.905321 0.424728i \(-0.860370\pi\)
−0.0848355 + 0.996395i \(0.527036\pi\)
\(570\) 2309.44 + 3955.37i 0.169705 + 0.290653i
\(571\) 1887.54 3269.31i 0.138338 0.239608i −0.788530 0.614997i \(-0.789157\pi\)
0.926868 + 0.375388i \(0.122491\pi\)
\(572\) 2513.94 0.183764
\(573\) 4758.00 + 2716.16i 0.346890 + 0.198026i
\(574\) −3233.70 16270.7i −0.235143 1.18315i
\(575\) 32407.1i 2.35038i
\(576\) 820.909 1454.46i 0.0593829 0.105212i
\(577\) 8116.59 4686.12i 0.585612 0.338103i −0.177748 0.984076i \(-0.556881\pi\)
0.763361 + 0.645973i \(0.223548\pi\)
\(578\) 16540.5i 1.19030i
\(579\) −6369.08 + 31.0817i −0.457150 + 0.00223094i
\(580\) 9527.64 5500.78i 0.682092 0.393806i
\(581\) −14911.1 + 2963.49i −1.06475 + 0.211611i
\(582\) 2868.77 + 4913.33i 0.204320 + 0.349938i
\(583\) 977.971 + 1693.90i 0.0694741 + 0.120333i
\(584\) −2246.17 3890.49i −0.159156 0.275667i
\(585\) −252.565 25876.4i −0.0178501 1.82882i
\(586\) −18744.2 10822.0i −1.32136 0.762888i
\(587\) 4412.41 7642.52i 0.310255 0.537377i −0.668162 0.744015i \(-0.732919\pi\)
0.978417 + 0.206638i \(0.0662522\pi\)
\(588\) −901.677 + 7098.60i −0.0632390 + 0.497859i
\(589\) 634.971 + 1099.80i 0.0444202 + 0.0769381i
\(590\) 36004.3i 2.51233i
\(591\) −3587.66 + 2094.75i −0.249707 + 0.145798i
\(592\) 29630.2 2.05708
\(593\) −7130.68 + 12350.7i −0.493797 + 0.855282i −0.999974 0.00714731i \(-0.997725\pi\)
0.506177 + 0.862430i \(0.331058\pi\)
\(594\) −2940.36 4924.90i −0.203105 0.340187i
\(595\) 1277.38 3761.03i 0.0880127 0.259138i
\(596\) 1425.59 + 823.062i 0.0979769 + 0.0565670i
\(597\) −11854.4 6767.24i −0.812679 0.463928i
\(598\) −25700.1 14838.0i −1.75745 1.01467i
\(599\) −6030.54 3481.73i −0.411354 0.237495i 0.280017 0.959995i \(-0.409660\pi\)
−0.691371 + 0.722500i \(0.742993\pi\)
\(600\) 12455.6 7272.54i 0.847498 0.494833i
\(601\) 17885.4 + 10326.1i 1.21391 + 0.700850i 0.963608 0.267318i \(-0.0861374\pi\)
0.250300 + 0.968168i \(0.419471\pi\)
\(602\) 16729.9 14666.9i 1.13266 0.992988i
\(603\) 9620.94 + 16294.6i 0.649743 + 1.10044i
\(604\) −657.472 + 1138.77i −0.0442916 + 0.0767154i
\(605\) 21518.2 1.44602
\(606\) −11768.4 6718.11i −0.788873 0.450337i
\(607\) 11088.7i 0.741476i −0.928738 0.370738i \(-0.879105\pi\)
0.928738 0.370738i \(-0.120895\pi\)
\(608\) 1174.67 + 2034.59i 0.0783539 + 0.135713i
\(609\) −10936.0 + 9682.24i −0.727665 + 0.644243i
\(610\) −15532.0 + 26902.2i −1.03094 + 1.78564i
\(611\) 3294.63 + 1902.15i 0.218145 + 0.125946i
\(612\) 632.955 1121.45i 0.0418067 0.0740716i
\(613\) 2166.52 + 3752.52i 0.142748 + 0.247248i 0.928531 0.371256i \(-0.121073\pi\)
−0.785782 + 0.618503i \(0.787739\pi\)
\(614\) 12125.2 + 21001.5i 0.796959 + 1.38037i
\(615\) −12018.4 + 21053.1i −0.788014 + 1.38039i
\(616\) −1989.19 2268.98i −0.130108 0.148409i
\(617\) 17477.3 10090.5i 1.14037 0.658393i 0.193848 0.981032i \(-0.437903\pi\)
0.946522 + 0.322639i \(0.104570\pi\)
\(618\) 15684.4 27474.9i 1.02090 1.78835i
\(619\) 2064.84i 0.134076i −0.997750 0.0670378i \(-0.978645\pi\)
0.997750 0.0670378i \(-0.0213548\pi\)
\(620\) −5659.65 + 3267.60i −0.366608 + 0.211661i
\(621\) 331.233 + 22623.3i 0.0214041 + 1.46190i
\(622\) 7424.39i 0.478603i
\(623\) 6585.14 1308.75i 0.423480 0.0841637i
\(624\) −107.692 22067.5i −0.00690884 1.41572i
\(625\) −363.559 −0.0232678
\(626\) 9397.71 16277.3i 0.600013 1.03925i
\(627\) −863.263 + 4.21281i −0.0549847 + 0.000268331i
\(628\) 5026.46 2902.03i 0.319391 0.184401i
\(629\) −4399.85 −0.278909
\(630\) 23328.1 20857.6i 1.47526 1.31903i
\(631\) 21996.0 1.38771 0.693856 0.720114i \(-0.255911\pi\)
0.693856 + 0.720114i \(0.255911\pi\)
\(632\) 6267.04 3618.28i 0.394445 0.227733i
\(633\) 5177.66 9069.90i 0.325108 0.569504i
\(634\) −2643.68 + 4578.99i −0.165606 + 0.286838i
\(635\) −14755.3 −0.922119
\(636\) −2987.55 + 1744.36i −0.186264 + 0.108755i
\(637\) −6962.73 16825.0i −0.433083 1.04652i
\(638\) 6205.31i 0.385063i
\(639\) 26680.3 + 15058.6i 1.65173 + 0.932253i
\(640\) 24215.0 13980.5i 1.49560 0.863483i
\(641\) 17356.7i 1.06950i −0.845012 0.534748i \(-0.820407\pi\)
0.845012 0.534748i \(-0.179593\pi\)
\(642\) 12195.7 + 20887.5i 0.749729 + 1.28406i
\(643\) 6891.57 3978.85i 0.422670 0.244029i −0.273549 0.961858i \(-0.588198\pi\)
0.696219 + 0.717829i \(0.254864\pi\)
\(644\) −2337.53 11761.6i −0.143030 0.719674i
\(645\) −32512.5 + 158.664i −1.98477 + 0.00968588i
\(646\) −289.997 502.289i −0.0176622 0.0305918i
\(647\) −1066.63 1847.45i −0.0648120 0.112258i 0.831799 0.555078i \(-0.187311\pi\)
−0.896611 + 0.442820i \(0.853978\pi\)
\(648\) −8620.92 + 5204.26i −0.522626 + 0.315498i
\(649\) −5876.87 3393.01i −0.355451 0.205220i
\(650\) 18488.4 32022.9i 1.11565 1.93237i
\(651\) 6496.23 5751.48i 0.391102 0.346265i
\(652\) 267.955 + 464.112i 0.0160950 + 0.0278773i
\(653\) 9368.79i 0.561454i 0.959788 + 0.280727i \(0.0905755\pi\)
−0.959788 + 0.280727i \(0.909425\pi\)
\(654\) 7.10421 + 1455.75i 0.000424766 + 0.0870403i
\(655\) −16525.3 −0.985799
\(656\) −10336.5 + 17903.3i −0.615199 + 1.06556i
\(657\) 85.7007 + 8780.41i 0.00508904 + 0.521395i
\(658\) 896.757 + 4512.14i 0.0531295 + 0.267328i
\(659\) −25364.6 14644.3i −1.49934 0.865645i −0.499342 0.866405i \(-0.666425\pi\)
−1.00000 0.000759530i \(0.999758\pi\)
\(660\) −21.6794 4442.40i −0.00127859 0.262000i
\(661\) 19028.6 + 10986.2i 1.11971 + 0.646464i 0.941326 0.337498i \(-0.109580\pi\)
0.178382 + 0.983961i \(0.442914\pi\)
\(662\) 535.683 + 309.277i 0.0314500 + 0.0181577i
\(663\) 15.9914 + 3276.85i 0.000936732 + 0.191949i
\(664\) 9819.91 + 5669.53i 0.573926 + 0.331356i
\(665\) −918.062 4619.34i −0.0535352 0.269369i
\(666\) −30187.0 17037.8i −1.75634 0.991293i
\(667\) 12238.7 21198.1i 0.710472 1.23057i
\(668\) −10102.8 −0.585163
\(669\) −114.112 23383.1i −0.00659465 1.35134i
\(670\) 43858.8i 2.52898i
\(671\) −2927.45 5070.49i −0.168425 0.291720i
\(672\) 12017.8 10640.0i 0.689874 0.610784i
\(673\) 16676.4 28884.4i 0.955168 1.65440i 0.221184 0.975232i \(-0.429008\pi\)
0.733984 0.679167i \(-0.237659\pi\)
\(674\) 9425.86 + 5442.03i 0.538681 + 0.311007i
\(675\) −28189.1 + 412.724i −1.60741 + 0.0235344i
\(676\) −1247.07 2159.98i −0.0709528 0.122894i
\(677\) −8163.18 14139.0i −0.463422 0.802670i 0.535707 0.844404i \(-0.320045\pi\)
−0.999129 + 0.0417342i \(0.986712\pi\)
\(678\) 23153.6 112.992i 1.31152 0.00640035i
\(679\) −1140.41 5738.12i −0.0644551 0.324313i
\(680\) −2565.65 + 1481.28i −0.144689 + 0.0835361i
\(681\) −8580.39 14695.6i −0.482821 0.826925i
\(682\) 3686.10i 0.206962i
\(683\) −8855.85 + 5112.93i −0.496134 + 0.286443i −0.727116 0.686515i \(-0.759140\pi\)
0.230982 + 0.972958i \(0.425806\pi\)
\(684\) −14.9024 1526.82i −0.000833051 0.0853498i
\(685\) 13370.4i 0.745776i
\(686\) 9748.47 19743.6i 0.542563 1.09886i
\(687\) 5984.65 3494.29i 0.332356 0.194055i
\(688\) −27726.1 −1.53640
\(689\) 4401.68 7623.93i 0.243383 0.421551i
\(690\) −25998.7 + 45542.8i −1.43442 + 2.51273i
\(691\) 12513.3 7224.58i 0.688900 0.397737i −0.114300 0.993446i \(-0.536462\pi\)
0.803200 + 0.595710i \(0.203129\pi\)
\(692\) −14804.8 −0.813289
\(693\) 1206.11 + 5773.38i 0.0661130 + 0.316468i
\(694\) −12486.7 −0.682980
\(695\) −1925.64 + 1111.77i −0.105099 + 0.0606787i
\(696\) 10894.0 53.1637i 0.593298 0.00289535i
\(697\) 1534.88 2658.49i 0.0834115 0.144473i
\(698\) −18639.0 −1.01074
\(699\) −19.8529 4068.14i −0.00107426 0.220130i
\(700\) 14655.1 2912.61i 0.791303 0.157266i
\(701\) 9044.78i 0.487328i −0.969860 0.243664i \(-0.921651\pi\)
0.969860 0.243664i \(-0.0783494\pi\)
\(702\) −12579.4 + 22544.1i −0.676325 + 1.21207i
\(703\) −4518.01 + 2608.48i −0.242390 + 0.139944i
\(704\) 729.595i 0.0390592i
\(705\) 3332.90 5838.36i 0.178048 0.311894i
\(706\) 12144.7 7011.75i 0.647411 0.373783i
\(707\) 9185.58 + 10477.6i 0.488627 + 0.557356i
\(708\) 5950.50 10423.7i 0.315866 0.553315i
\(709\) 7951.00 + 13771.5i 0.421165 + 0.729480i 0.996054 0.0887522i \(-0.0282879\pi\)
−0.574889 + 0.818232i \(0.694955\pi\)
\(710\) 35504.2 + 61495.1i 1.87669 + 3.25052i
\(711\) −14144.0 + 138.052i −0.746052 + 0.00728180i
\(712\) −4336.72 2503.81i −0.228266 0.131790i
\(713\) −7270.09 + 12592.2i −0.381861 + 0.661403i
\(714\) −2966.89 + 2626.75i −0.155508 + 0.137680i
\(715\) 5652.32 + 9790.10i 0.295643 + 0.512069i
\(716\) 7164.19i 0.373936i
\(717\) −23515.6 13424.1i −1.22483 0.699210i
\(718\) 1017.48 0.0528860
\(719\) −5718.63 + 9904.97i −0.296619 + 0.513759i −0.975360 0.220618i \(-0.929192\pi\)
0.678741 + 0.734378i \(0.262526\pi\)
\(720\) −38994.7 + 380.605i −2.01840 + 0.0197004i
\(721\) −24461.4 + 21445.0i −1.26351 + 1.10770i
\(722\) 19994.2 + 11543.6i 1.03062 + 0.595028i
\(723\) −12066.1 + 7045.08i −0.620667 + 0.362392i
\(724\) 4061.69 + 2345.02i 0.208496 + 0.120375i
\(725\) 26413.2 + 15249.7i 1.35305 + 0.781185i
\(726\) −18643.2 10642.7i −0.953052 0.544061i
\(727\) 18614.6 + 10747.1i 0.949623 + 0.548265i 0.892964 0.450129i \(-0.148622\pi\)
0.0566590 + 0.998394i \(0.481955\pi\)
\(728\) −4367.61 + 12859.7i −0.222355 + 0.654686i
\(729\) 19674.6 576.243i 0.999571 0.0292762i
\(730\) −10176.0 + 17625.3i −0.515930 + 0.893617i
\(731\) 4117.10 0.208313
\(732\) 8942.91 5221.54i 0.451556 0.263653i
\(733\) 1283.37i 0.0646688i 0.999477 + 0.0323344i \(0.0102942\pi\)
−0.999477 + 0.0323344i \(0.989706\pi\)
\(734\) −12945.8 22422.8i −0.651005 1.12757i
\(735\) −29671.6 + 12449.0i −1.48905 + 0.624746i
\(736\) −13449.4 + 23295.0i −0.673574 + 1.16666i
\(737\) −7158.95 4133.22i −0.357806 0.206580i
\(738\) 20825.3 12296.1i 1.03874 0.613312i
\(739\) −1436.13 2487.45i −0.0714870 0.123819i 0.828066 0.560630i \(-0.189441\pi\)
−0.899553 + 0.436811i \(0.856108\pi\)
\(740\) −13423.4 23250.0i −0.666828 1.15498i
\(741\) 1959.12 + 3355.37i 0.0971256 + 0.166346i
\(742\) 10441.3 2075.14i 0.516594 0.102670i
\(743\) −8010.40 + 4624.80i −0.395522 + 0.228355i −0.684550 0.728966i \(-0.740001\pi\)
0.289028 + 0.957321i \(0.406668\pi\)
\(744\) −6471.29 + 31.5805i −0.318883 + 0.00155618i
\(745\) 7402.26i 0.364024i
\(746\) 39140.3 22597.7i 1.92095 1.10906i
\(747\) −11268.6 19085.1i −0.551936 0.934791i
\(748\) 562.548i 0.0274984i
\(749\) −4848.11 24393.8i −0.236510 1.19003i
\(750\) −21447.5 12243.5i −1.04420 0.596094i
\(751\) 25304.0 1.22950 0.614750 0.788722i \(-0.289257\pi\)
0.614750 + 0.788722i \(0.289257\pi\)
\(752\) 2866.46 4964.86i 0.139002 0.240758i
\(753\) 6655.05 + 11398.1i 0.322077 + 0.551619i
\(754\) 24187.2 13964.5i 1.16823 0.674479i
\(755\) −5913.01 −0.285028
\(756\) −10201.0 + 2183.08i −0.490748 + 0.105023i
\(757\) 16874.0 0.810166 0.405083 0.914280i \(-0.367243\pi\)
0.405083 + 0.914280i \(0.367243\pi\)
\(758\) 25649.0 14808.5i 1.22904 0.709588i
\(759\) −4983.73 8535.61i −0.238337 0.408199i
\(760\) −1756.37 + 3042.12i −0.0838293 + 0.145197i
\(761\) 37208.6 1.77242 0.886210 0.463283i \(-0.153329\pi\)
0.886210 + 0.463283i \(0.153329\pi\)
\(762\) 12783.9 + 7297.83i 0.607757 + 0.346945i
\(763\) 481.399 1417.40i 0.0228412 0.0672520i
\(764\) 4233.18i 0.200460i
\(765\) 5790.41 56.5169i 0.273664 0.00267108i
\(766\) 26523.4 15313.3i 1.25108 0.722312i
\(767\) 30542.8i 1.43786i
\(768\) −25323.0 + 123.579i −1.18980 + 0.00580635i
\(769\) −10136.5 + 5852.32i −0.475335 + 0.274435i −0.718470 0.695558i \(-0.755157\pi\)
0.243136 + 0.969992i \(0.421824\pi\)
\(770\) −4396.26 + 12944.0i −0.205753 + 0.605806i
\(771\) 10138.6 + 17364.3i 0.473584 + 0.811104i
\(772\) 2460.61 + 4261.89i 0.114714 + 0.198690i
\(773\) −8887.85 15394.2i −0.413549