Properties

Label 63.4.h.a.25.14
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 25.14
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.14

$q$-expansion

\(f(q)\) \(=\) \(q+1.33560 q^{2} +(-3.51545 - 3.82643i) q^{3} -6.21617 q^{4} +(-4.50235 + 7.79829i) q^{5} +(-4.69524 - 5.11058i) q^{6} +(-3.16069 + 18.2486i) q^{7} -18.9871 q^{8} +(-2.28318 + 26.9033i) q^{9} +O(q^{10})\) \(q+1.33560 q^{2} +(-3.51545 - 3.82643i) q^{3} -6.21617 q^{4} +(-4.50235 + 7.79829i) q^{5} +(-4.69524 - 5.11058i) q^{6} +(-3.16069 + 18.2486i) q^{7} -18.9871 q^{8} +(-2.28318 + 26.9033i) q^{9} +(-6.01333 + 10.4154i) q^{10} +(-14.6762 - 25.4199i) q^{11} +(21.8527 + 23.7858i) q^{12} +(-21.1758 - 36.6776i) q^{13} +(-4.22142 + 24.3728i) q^{14} +(45.6674 - 10.1866i) q^{15} +24.3702 q^{16} +(-2.56927 + 4.45010i) q^{17} +(-3.04941 + 35.9320i) q^{18} +(-71.2462 - 123.402i) q^{19} +(27.9874 - 48.4756i) q^{20} +(80.9382 - 52.0578i) q^{21} +(-19.6015 - 33.9509i) q^{22} +(-89.0414 + 154.224i) q^{23} +(66.7483 + 72.6529i) q^{24} +(21.9577 + 38.0319i) q^{25} +(-28.2824 - 48.9866i) q^{26} +(110.970 - 85.8408i) q^{27} +(19.6474 - 113.436i) q^{28} +(-109.202 + 189.143i) q^{29} +(60.9934 - 13.6052i) q^{30} +147.854 q^{31} +184.446 q^{32} +(-45.6742 + 145.520i) q^{33} +(-3.43151 + 5.94356i) q^{34} +(-128.077 - 106.809i) q^{35} +(14.1926 - 167.236i) q^{36} +(-21.2781 - 36.8547i) q^{37} +(-95.1564 - 164.816i) q^{38} +(-65.9018 + 209.966i) q^{39} +(85.4866 - 148.067i) q^{40} +(83.7600 + 145.077i) q^{41} +(108.101 - 69.5283i) q^{42} +(121.454 - 210.365i) q^{43} +(91.2299 + 158.015i) q^{44} +(-199.520 - 138.933i) q^{45} +(-118.924 + 205.982i) q^{46} -76.5135 q^{47} +(-85.6724 - 93.2510i) q^{48} +(-323.020 - 115.356i) q^{49} +(29.3267 + 50.7954i) q^{50} +(26.0602 - 5.81300i) q^{51} +(131.633 + 227.995i) q^{52} +(-181.368 + 314.138i) q^{53} +(148.212 - 114.649i) q^{54} +264.310 q^{55} +(60.0124 - 346.487i) q^{56} +(-221.727 + 706.433i) q^{57} +(-145.850 + 252.619i) q^{58} -121.535 q^{59} +(-283.877 + 63.3217i) q^{60} -642.471 q^{61} +197.474 q^{62} +(-483.730 - 126.698i) q^{63} +51.3838 q^{64} +381.364 q^{65} +(-61.0024 + 194.357i) q^{66} -162.958 q^{67} +(15.9710 - 27.6626i) q^{68} +(903.149 - 201.457i) q^{69} +(-171.060 - 142.655i) q^{70} -833.862 q^{71} +(43.3510 - 510.816i) q^{72} +(-62.4792 + 108.217i) q^{73} +(-28.4190 - 49.2231i) q^{74} +(68.3352 - 217.719i) q^{75} +(442.879 + 767.089i) q^{76} +(510.264 - 187.475i) q^{77} +(-88.0184 + 280.431i) q^{78} +842.850 q^{79} +(-109.723 + 190.046i) q^{80} +(-718.574 - 122.850i) q^{81} +(111.870 + 193.764i) q^{82} +(566.958 - 982.000i) q^{83} +(-503.126 + 323.600i) q^{84} +(-23.1355 - 40.0718i) q^{85} +(162.214 - 280.963i) q^{86} +(1107.64 - 247.070i) q^{87} +(278.659 + 482.651i) q^{88} +(-248.052 - 429.639i) q^{89} +(-266.479 - 185.559i) q^{90} +(736.244 - 270.502i) q^{91} +(553.497 - 958.685i) q^{92} +(-519.775 - 565.755i) q^{93} -102.191 q^{94} +1283.10 q^{95} +(-648.410 - 705.769i) q^{96} +(-128.912 + 223.282i) q^{97} +(-431.425 - 154.070i) q^{98} +(717.389 - 336.800i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.33560 0.472206 0.236103 0.971728i \(-0.424130\pi\)
0.236103 + 0.971728i \(0.424130\pi\)
\(3\) −3.51545 3.82643i −0.676549 0.736397i
\(4\) −6.21617 −0.777022
\(5\) −4.50235 + 7.79829i −0.402702 + 0.697501i −0.994051 0.108915i \(-0.965262\pi\)
0.591349 + 0.806416i \(0.298596\pi\)
\(6\) −4.69524 5.11058i −0.319470 0.347731i
\(7\) −3.16069 + 18.2486i −0.170661 + 0.985330i
\(8\) −18.9871 −0.839120
\(9\) −2.28318 + 26.9033i −0.0845622 + 0.996418i
\(10\) −6.01333 + 10.4154i −0.190158 + 0.329364i
\(11\) −14.6762 25.4199i −0.402277 0.696764i 0.591724 0.806141i \(-0.298448\pi\)
−0.994000 + 0.109377i \(0.965114\pi\)
\(12\) 21.8527 + 23.7858i 0.525694 + 0.572197i
\(13\) −21.1758 36.6776i −0.451779 0.782504i 0.546718 0.837317i \(-0.315877\pi\)
−0.998497 + 0.0548133i \(0.982544\pi\)
\(14\) −4.22142 + 24.3728i −0.0805873 + 0.465278i
\(15\) 45.6674 10.1866i 0.786086 0.175345i
\(16\) 24.3702 0.380785
\(17\) −2.56927 + 4.45010i −0.0366552 + 0.0634888i −0.883771 0.467920i \(-0.845004\pi\)
0.847116 + 0.531408i \(0.178337\pi\)
\(18\) −3.04941 + 35.9320i −0.0399307 + 0.470514i
\(19\) −71.2462 123.402i −0.860263 1.49002i −0.871675 0.490084i \(-0.836966\pi\)
0.0114121 0.999935i \(-0.496367\pi\)
\(20\) 27.9874 48.4756i 0.312908 0.541973i
\(21\) 80.9382 52.0578i 0.841055 0.540950i
\(22\) −19.6015 33.9509i −0.189957 0.329016i
\(23\) −89.0414 + 154.224i −0.807235 + 1.39817i 0.107536 + 0.994201i \(0.465704\pi\)
−0.914772 + 0.403972i \(0.867629\pi\)
\(24\) 66.7483 + 72.6529i 0.567706 + 0.617926i
\(25\) 21.9577 + 38.0319i 0.175662 + 0.304255i
\(26\) −28.2824 48.9866i −0.213332 0.369503i
\(27\) 110.970 85.8408i 0.790970 0.611855i
\(28\) 19.6474 113.436i 0.132608 0.765623i
\(29\) −109.202 + 189.143i −0.699249 + 1.21114i 0.269478 + 0.963007i \(0.413149\pi\)
−0.968727 + 0.248129i \(0.920184\pi\)
\(30\) 60.9934 13.6052i 0.371194 0.0827988i
\(31\) 147.854 0.856627 0.428314 0.903630i \(-0.359108\pi\)
0.428314 + 0.903630i \(0.359108\pi\)
\(32\) 184.446 1.01893
\(33\) −45.6742 + 145.520i −0.240935 + 0.767631i
\(34\) −3.43151 + 5.94356i −0.0173088 + 0.0299797i
\(35\) −128.077 106.809i −0.618542 0.515831i
\(36\) 14.1926 167.236i 0.0657067 0.774239i
\(37\) −21.2781 36.8547i −0.0945431 0.163753i 0.814875 0.579637i \(-0.196806\pi\)
−0.909418 + 0.415884i \(0.863472\pi\)
\(38\) −95.1564 164.816i −0.406221 0.703595i
\(39\) −65.9018 + 209.966i −0.270583 + 0.862091i
\(40\) 85.4866 148.067i 0.337915 0.585287i
\(41\) 83.7600 + 145.077i 0.319051 + 0.552613i 0.980290 0.197562i \(-0.0633024\pi\)
−0.661239 + 0.750175i \(0.729969\pi\)
\(42\) 108.101 69.5283i 0.397151 0.255439i
\(43\) 121.454 210.365i 0.430734 0.746054i −0.566202 0.824266i \(-0.691588\pi\)
0.996937 + 0.0782125i \(0.0249213\pi\)
\(44\) 91.2299 + 158.015i 0.312578 + 0.541401i
\(45\) −199.520 138.933i −0.660949 0.460242i
\(46\) −118.924 + 205.982i −0.381181 + 0.660225i
\(47\) −76.5135 −0.237460 −0.118730 0.992927i \(-0.537882\pi\)
−0.118730 + 0.992927i \(0.537882\pi\)
\(48\) −85.6724 93.2510i −0.257620 0.280409i
\(49\) −323.020 115.356i −0.941749 0.336315i
\(50\) 29.3267 + 50.7954i 0.0829485 + 0.143671i
\(51\) 26.0602 5.81300i 0.0715520 0.0159604i
\(52\) 131.633 + 227.995i 0.351042 + 0.608022i
\(53\) −181.368 + 314.138i −0.470053 + 0.814155i −0.999414 0.0342417i \(-0.989098\pi\)
0.529361 + 0.848397i \(0.322432\pi\)
\(54\) 148.212 114.649i 0.373501 0.288921i
\(55\) 264.310 0.647991
\(56\) 60.0124 346.487i 0.143205 0.826810i
\(57\) −221.727 + 706.433i −0.515236 + 1.64157i
\(58\) −145.850 + 252.619i −0.330189 + 0.571905i
\(59\) −121.535 −0.268179 −0.134089 0.990969i \(-0.542811\pi\)
−0.134089 + 0.990969i \(0.542811\pi\)
\(60\) −283.877 + 63.3217i −0.610806 + 0.136247i
\(61\) −642.471 −1.34852 −0.674262 0.738492i \(-0.735538\pi\)
−0.674262 + 0.738492i \(0.735538\pi\)
\(62\) 197.474 0.404504
\(63\) −483.730 126.698i −0.967369 0.253372i
\(64\) 51.3838 0.100359
\(65\) 381.364 0.727729
\(66\) −61.0024 + 194.357i −0.113771 + 0.362479i
\(67\) −162.958 −0.297141 −0.148570 0.988902i \(-0.547467\pi\)
−0.148570 + 0.988902i \(0.547467\pi\)
\(68\) 15.9710 27.6626i 0.0284819 0.0493321i
\(69\) 903.149 201.457i 1.57575 0.351487i
\(70\) −171.060 142.655i −0.292079 0.243578i
\(71\) −833.862 −1.39382 −0.696910 0.717159i \(-0.745442\pi\)
−0.696910 + 0.717159i \(0.745442\pi\)
\(72\) 43.3510 510.816i 0.0709578 0.836114i
\(73\) −62.4792 + 108.217i −0.100173 + 0.173505i −0.911756 0.410733i \(-0.865273\pi\)
0.811583 + 0.584238i \(0.198606\pi\)
\(74\) −28.4190 49.2231i −0.0446438 0.0773253i
\(75\) 68.3352 217.719i 0.105209 0.335201i
\(76\) 442.879 + 767.089i 0.668443 + 1.15778i
\(77\) 510.264 187.475i 0.755195 0.277465i
\(78\) −88.0184 + 280.431i −0.127771 + 0.407084i
\(79\) 842.850 1.20035 0.600177 0.799867i \(-0.295097\pi\)
0.600177 + 0.799867i \(0.295097\pi\)
\(80\) −109.723 + 190.046i −0.153343 + 0.265598i
\(81\) −718.574 122.850i −0.985698 0.168519i
\(82\) 111.870 + 193.764i 0.150658 + 0.260947i
\(83\) 566.958 982.000i 0.749780 1.29866i −0.198148 0.980172i \(-0.563493\pi\)
0.947928 0.318485i \(-0.103174\pi\)
\(84\) −503.126 + 323.600i −0.653518 + 0.420330i
\(85\) −23.1355 40.0718i −0.0295223 0.0511341i
\(86\) 162.214 280.963i 0.203395 0.352291i
\(87\) 1107.64 247.070i 1.36495 0.304467i
\(88\) 278.659 + 482.651i 0.337558 + 0.584668i
\(89\) −248.052 429.639i −0.295432 0.511704i 0.679653 0.733534i \(-0.262130\pi\)
−0.975085 + 0.221830i \(0.928797\pi\)
\(90\) −266.479 185.559i −0.312104 0.217329i
\(91\) 736.244 270.502i 0.848125 0.311608i
\(92\) 553.497 958.685i 0.627240 1.08641i
\(93\) −519.775 565.755i −0.579550 0.630818i
\(94\) −102.191 −0.112130
\(95\) 1283.10 1.38572
\(96\) −648.410 705.769i −0.689355 0.750336i
\(97\) −128.912 + 223.282i −0.134938 + 0.233720i −0.925574 0.378567i \(-0.876417\pi\)
0.790636 + 0.612287i \(0.209750\pi\)
\(98\) −431.425 154.070i −0.444699 0.158810i
\(99\) 717.389 336.800i 0.728286 0.341916i
\(100\) −136.493 236.413i −0.136493 0.236413i
\(101\) 404.020 + 699.784i 0.398035 + 0.689417i 0.993483 0.113977i \(-0.0363590\pi\)
−0.595449 + 0.803393i \(0.703026\pi\)
\(102\) 34.8059 7.76383i 0.0337873 0.00753661i
\(103\) −150.888 + 261.346i −0.144344 + 0.250011i −0.929128 0.369758i \(-0.879441\pi\)
0.784784 + 0.619769i \(0.212774\pi\)
\(104\) 402.068 + 696.402i 0.379096 + 0.656614i
\(105\) 41.5502 + 865.562i 0.0386179 + 0.804478i
\(106\) −242.235 + 419.563i −0.221961 + 0.384449i
\(107\) 575.282 + 996.417i 0.519762 + 0.900255i 0.999736 + 0.0229719i \(0.00731282\pi\)
−0.479974 + 0.877283i \(0.659354\pi\)
\(108\) −689.809 + 533.602i −0.614601 + 0.475424i
\(109\) −901.841 + 1562.04i −0.792484 + 1.37262i 0.131941 + 0.991258i \(0.457879\pi\)
−0.924425 + 0.381365i \(0.875454\pi\)
\(110\) 353.012 0.305985
\(111\) −66.2200 + 210.980i −0.0566245 + 0.180409i
\(112\) −77.0268 + 444.722i −0.0649853 + 0.375199i
\(113\) −610.273 1057.02i −0.508050 0.879968i −0.999957 0.00932039i \(-0.997033\pi\)
0.491907 0.870648i \(-0.336300\pi\)
\(114\) −296.138 + 943.511i −0.243297 + 0.775157i
\(115\) −801.791 1388.74i −0.650151 1.12609i
\(116\) 678.816 1175.74i 0.543332 0.941079i
\(117\) 1035.10 485.958i 0.817904 0.383990i
\(118\) −162.322 −0.126635
\(119\) −73.0873 60.9509i −0.0563017 0.0469526i
\(120\) −867.093 + 193.414i −0.659620 + 0.147135i
\(121\) 234.718 406.543i 0.176347 0.305442i
\(122\) −858.084 −0.636781
\(123\) 260.671 830.512i 0.191089 0.608819i
\(124\) −919.089 −0.665618
\(125\) −1521.03 −1.08836
\(126\) −646.069 169.217i −0.456797 0.119644i
\(127\) 1090.19 0.761724 0.380862 0.924632i \(-0.375627\pi\)
0.380862 + 0.924632i \(0.375627\pi\)
\(128\) −1406.94 −0.971538
\(129\) −1231.91 + 274.791i −0.840805 + 0.187550i
\(130\) 509.349 0.343638
\(131\) −1301.73 + 2254.66i −0.868189 + 1.50375i −0.00434280 + 0.999991i \(0.501382\pi\)
−0.863846 + 0.503756i \(0.831951\pi\)
\(132\) 283.919 904.579i 0.187212 0.596466i
\(133\) 2477.10 910.105i 1.61497 0.593354i
\(134\) −217.646 −0.140312
\(135\) 169.786 + 1251.86i 0.108244 + 0.798097i
\(136\) 48.7830 84.4946i 0.0307581 0.0532747i
\(137\) −6.07432 10.5210i −0.00378806 0.00656112i 0.864125 0.503277i \(-0.167872\pi\)
−0.867913 + 0.496716i \(0.834539\pi\)
\(138\) 1206.25 269.066i 0.744076 0.165974i
\(139\) −938.072 1624.79i −0.572419 0.991458i −0.996317 0.0857483i \(-0.972672\pi\)
0.423898 0.905710i \(-0.360661\pi\)
\(140\) 796.150 + 663.946i 0.480621 + 0.400812i
\(141\) 268.980 + 292.774i 0.160654 + 0.174865i
\(142\) −1113.71 −0.658170
\(143\) −621.562 + 1076.58i −0.363480 + 0.629566i
\(144\) −55.6416 + 655.639i −0.0322000 + 0.379421i
\(145\) −983.327 1703.17i −0.563178 0.975454i
\(146\) −83.4472 + 144.535i −0.0473023 + 0.0819300i
\(147\) 694.159 + 1641.54i 0.389478 + 0.921036i
\(148\) 132.268 + 229.095i 0.0734620 + 0.127240i
\(149\) −453.135 + 784.852i −0.249143 + 0.431528i −0.963288 0.268470i \(-0.913482\pi\)
0.714146 + 0.699997i \(0.246815\pi\)
\(150\) 91.2684 290.786i 0.0496802 0.158284i
\(151\) −166.995 289.243i −0.0899989 0.155883i 0.817511 0.575912i \(-0.195353\pi\)
−0.907510 + 0.420030i \(0.862020\pi\)
\(152\) 1352.76 + 2343.05i 0.721864 + 1.25030i
\(153\) −113.856 79.2822i −0.0601617 0.0418927i
\(154\) 681.509 250.392i 0.356607 0.131020i
\(155\) −665.692 + 1153.01i −0.344966 + 0.597498i
\(156\) 409.657 1305.19i 0.210249 0.669863i
\(157\) 1372.99 0.697940 0.348970 0.937134i \(-0.386532\pi\)
0.348970 + 0.937134i \(0.386532\pi\)
\(158\) 1125.71 0.566814
\(159\) 1839.62 410.347i 0.917555 0.204670i
\(160\) −830.439 + 1438.36i −0.410325 + 0.710703i
\(161\) −2532.94 2112.33i −1.23990 1.03401i
\(162\) −959.727 164.078i −0.465452 0.0795754i
\(163\) −77.5751 134.364i −0.0372770 0.0645657i 0.846785 0.531935i \(-0.178535\pi\)
−0.884062 + 0.467370i \(0.845202\pi\)
\(164\) −520.667 901.821i −0.247910 0.429393i
\(165\) −929.168 1011.36i −0.438398 0.477179i
\(166\) 757.229 1311.56i 0.354050 0.613233i
\(167\) 656.542 + 1137.16i 0.304220 + 0.526924i 0.977087 0.212839i \(-0.0682709\pi\)
−0.672867 + 0.739763i \(0.734938\pi\)
\(168\) −1536.78 + 988.427i −0.705746 + 0.453921i
\(169\) 201.667 349.298i 0.0917922 0.158989i
\(170\) −30.8997 53.5199i −0.0139406 0.0241458i
\(171\) 3482.59 1635.01i 1.55743 0.731182i
\(172\) −754.980 + 1307.66i −0.334690 + 0.579700i
\(173\) 193.100 0.0848620 0.0424310 0.999099i \(-0.486490\pi\)
0.0424310 + 0.999099i \(0.486490\pi\)
\(174\) 1479.36 329.986i 0.644539 0.143771i
\(175\) −763.429 + 280.490i −0.329770 + 0.121160i
\(176\) −357.663 619.490i −0.153181 0.265317i
\(177\) 427.251 + 465.046i 0.181436 + 0.197486i
\(178\) −331.298 573.826i −0.139505 0.241629i
\(179\) 1997.68 3460.08i 0.834152 1.44479i −0.0605663 0.998164i \(-0.519291\pi\)
0.894719 0.446630i \(-0.147376\pi\)
\(180\) 1240.25 + 863.631i 0.513572 + 0.357618i
\(181\) −4626.29 −1.89983 −0.949916 0.312506i \(-0.898831\pi\)
−0.949916 + 0.312506i \(0.898831\pi\)
\(182\) 983.327 361.282i 0.400489 0.147143i
\(183\) 2258.58 + 2458.37i 0.912344 + 0.993050i
\(184\) 1690.64 2928.27i 0.677367 1.17323i
\(185\) 383.205 0.152291
\(186\) −694.211 755.622i −0.273667 0.297876i
\(187\) 150.829 0.0589822
\(188\) 475.621 0.184512
\(189\) 1215.73 + 2296.36i 0.467891 + 0.883786i
\(190\) 1713.71 0.654344
\(191\) −2408.15 −0.912293 −0.456146 0.889905i \(-0.650771\pi\)
−0.456146 + 0.889905i \(0.650771\pi\)
\(192\) −180.637 196.617i −0.0678978 0.0739040i
\(193\) 904.035 0.337170 0.168585 0.985687i \(-0.446080\pi\)
0.168585 + 0.985687i \(0.446080\pi\)
\(194\) −172.174 + 298.215i −0.0637185 + 0.110364i
\(195\) −1340.67 1459.26i −0.492345 0.535898i
\(196\) 2007.95 + 717.074i 0.731760 + 0.261324i
\(197\) 3416.80 1.23572 0.617860 0.786288i \(-0.288000\pi\)
0.617860 + 0.786288i \(0.288000\pi\)
\(198\) 958.144 449.830i 0.343901 0.161455i
\(199\) 1312.92 2274.04i 0.467691 0.810064i −0.531628 0.846978i \(-0.678419\pi\)
0.999318 + 0.0369141i \(0.0117528\pi\)
\(200\) −416.914 722.116i −0.147401 0.255307i
\(201\) 572.870 + 623.546i 0.201030 + 0.218814i
\(202\) 539.609 + 934.631i 0.187954 + 0.325546i
\(203\) −3106.43 2590.59i −1.07403 0.895685i
\(204\) −161.995 + 36.1346i −0.0555975 + 0.0124016i
\(205\) −1508.47 −0.513931
\(206\) −201.526 + 349.053i −0.0681601 + 0.118057i
\(207\) −3945.84 2747.63i −1.32490 0.922577i
\(208\) −516.060 893.842i −0.172030 0.297965i
\(209\) −2091.25 + 3622.15i −0.692128 + 1.19880i
\(210\) 55.4944 + 1156.04i 0.0182356 + 0.379879i
\(211\) −417.588 723.284i −0.136246 0.235985i 0.789827 0.613330i \(-0.210170\pi\)
−0.926073 + 0.377345i \(0.876837\pi\)
\(212\) 1127.41 1952.74i 0.365241 0.632616i
\(213\) 2931.40 + 3190.72i 0.942988 + 1.02641i
\(214\) 768.346 + 1330.81i 0.245435 + 0.425105i
\(215\) 1093.66 + 1894.27i 0.346915 + 0.600875i
\(216\) −2107.00 + 1629.87i −0.663719 + 0.513419i
\(217\) −467.322 + 2698.13i −0.146193 + 0.844060i
\(218\) −1204.50 + 2086.25i −0.374215 + 0.648160i
\(219\) 633.729 141.360i 0.195541 0.0436174i
\(220\) −1642.99 −0.503503
\(221\) 217.626 0.0662402
\(222\) −88.4434 + 281.785i −0.0267384 + 0.0851899i
\(223\) −1077.64 + 1866.53i −0.323606 + 0.560501i −0.981229 0.192845i \(-0.938228\pi\)
0.657624 + 0.753347i \(0.271562\pi\)
\(224\) −582.976 + 3365.87i −0.173892 + 1.00398i
\(225\) −1073.32 + 503.902i −0.318020 + 0.149304i
\(226\) −815.080 1411.76i −0.239904 0.415526i
\(227\) 702.295 + 1216.41i 0.205344 + 0.355665i 0.950242 0.311512i \(-0.100836\pi\)
−0.744899 + 0.667178i \(0.767502\pi\)
\(228\) 1378.29 4391.31i 0.400350 1.27553i
\(229\) −2874.50 + 4978.78i −0.829487 + 1.43671i 0.0689549 + 0.997620i \(0.478034\pi\)
−0.898442 + 0.439093i \(0.855300\pi\)
\(230\) −1070.87 1854.80i −0.307005 0.531748i
\(231\) −2511.17 1293.43i −0.715251 0.368405i
\(232\) 2073.42 3591.27i 0.586754 1.01629i
\(233\) 245.476 + 425.178i 0.0690202 + 0.119546i 0.898470 0.439034i \(-0.144679\pi\)
−0.829450 + 0.558581i \(0.811346\pi\)
\(234\) 1382.48 649.045i 0.386219 0.181322i
\(235\) 344.490 596.675i 0.0956258 0.165629i
\(236\) 755.484 0.208381
\(237\) −2963.00 3225.11i −0.812099 0.883938i
\(238\) −97.6154 81.4059i −0.0265860 0.0221713i
\(239\) −3286.81 5692.92i −0.889565 1.54077i −0.840391 0.541981i \(-0.817675\pi\)
−0.0491738 0.998790i \(-0.515659\pi\)
\(240\) 1112.93 248.250i 0.299329 0.0667686i
\(241\) 474.747 + 822.286i 0.126893 + 0.219785i 0.922471 0.386066i \(-0.126166\pi\)
−0.795578 + 0.605851i \(0.792833\pi\)
\(242\) 313.489 542.978i 0.0832719 0.144231i
\(243\) 2056.04 + 3181.45i 0.542777 + 0.839877i
\(244\) 3993.71 1.04783
\(245\) 2353.93 1999.63i 0.613825 0.521436i
\(246\) 348.152 1109.23i 0.0902333 0.287488i
\(247\) −3017.40 + 5226.28i −0.777297 + 1.34632i
\(248\) −2807.33 −0.718813
\(249\) −5750.67 + 1282.75i −1.46359 + 0.326470i
\(250\) −2031.49 −0.513931
\(251\) 5293.14 1.33107 0.665537 0.746365i \(-0.268202\pi\)
0.665537 + 0.746365i \(0.268202\pi\)
\(252\) 3006.95 + 787.575i 0.751667 + 0.196875i
\(253\) 5227.16 1.29893
\(254\) 1456.06 0.359690
\(255\) −72.0005 + 229.397i −0.0176817 + 0.0563349i
\(256\) −2290.18 −0.559125
\(257\) −1861.76 + 3224.67i −0.451882 + 0.782683i −0.998503 0.0546976i \(-0.982581\pi\)
0.546621 + 0.837380i \(0.315914\pi\)
\(258\) −1645.34 + 367.011i −0.397033 + 0.0885624i
\(259\) 739.799 271.808i 0.177486 0.0652097i
\(260\) −2370.63 −0.565461
\(261\) −4839.24 3369.73i −1.14767 0.799161i
\(262\) −1738.59 + 3011.33i −0.409964 + 0.710078i
\(263\) 2289.02 + 3964.69i 0.536680 + 0.929557i 0.999080 + 0.0428853i \(0.0136550\pi\)
−0.462400 + 0.886671i \(0.653012\pi\)
\(264\) 867.221 2763.01i 0.202173 0.644134i
\(265\) −1633.16 2828.72i −0.378582 0.655724i
\(266\) 3308.41 1215.54i 0.762600 0.280185i
\(267\) −771.969 + 2459.53i −0.176943 + 0.563749i
\(268\) 1012.97 0.230885
\(269\) 2948.50 5106.95i 0.668302 1.15753i −0.310077 0.950711i \(-0.600355\pi\)
0.978379 0.206821i \(-0.0663117\pi\)
\(270\) 226.766 + 1671.99i 0.0511132 + 0.376866i
\(271\) −2578.14 4465.47i −0.577899 1.00095i −0.995720 0.0924215i \(-0.970539\pi\)
0.417821 0.908530i \(-0.362794\pi\)
\(272\) −62.6137 + 108.450i −0.0139578 + 0.0241756i
\(273\) −3623.29 1866.25i −0.803266 0.413739i
\(274\) −8.11286 14.0519i −0.00178874 0.00309820i
\(275\) 644.513 1116.33i 0.141329 0.244790i
\(276\) −5614.14 + 1252.29i −1.22439 + 0.273113i
\(277\) 2527.09 + 4377.05i 0.548152 + 0.949427i 0.998401 + 0.0565242i \(0.0180018\pi\)
−0.450249 + 0.892903i \(0.648665\pi\)
\(278\) −1252.89 2170.07i −0.270299 0.468172i
\(279\) −337.578 + 3977.77i −0.0724383 + 0.853559i
\(280\) 2431.81 + 2028.00i 0.519031 + 0.432844i
\(281\) −909.511 + 1575.32i −0.193085 + 0.334433i −0.946271 0.323375i \(-0.895183\pi\)
0.753186 + 0.657807i \(0.228516\pi\)
\(282\) 359.249 + 391.028i 0.0758616 + 0.0825723i
\(283\) 1354.96 0.284609 0.142304 0.989823i \(-0.454549\pi\)
0.142304 + 0.989823i \(0.454549\pi\)
\(284\) 5183.43 1.08303
\(285\) −4510.68 4909.70i −0.937507 1.02044i
\(286\) −830.158 + 1437.88i −0.171637 + 0.297285i
\(287\) −2912.18 + 1069.96i −0.598956 + 0.220061i
\(288\) −421.123 + 4962.20i −0.0861628 + 1.01528i
\(289\) 2443.30 + 4231.92i 0.497313 + 0.861371i
\(290\) −1313.33 2274.76i −0.265936 0.460615i
\(291\) 1307.56 291.664i 0.263403 0.0587548i
\(292\) 388.382 672.697i 0.0778367 0.134817i
\(293\) −598.046 1035.85i −0.119243 0.206535i 0.800225 0.599700i \(-0.204713\pi\)
−0.919468 + 0.393165i \(0.871380\pi\)
\(294\) 927.118 + 2192.44i 0.183914 + 0.434918i
\(295\) 547.194 947.767i 0.107996 0.187055i
\(296\) 404.009 + 699.765i 0.0793330 + 0.137409i
\(297\) −3810.69 1561.03i −0.744507 0.304985i
\(298\) −605.206 + 1048.25i −0.117647 + 0.203770i
\(299\) 7542.11 1.45877
\(300\) −424.783 + 1353.38i −0.0817496 + 0.260458i
\(301\) 3454.97 + 2881.26i 0.661599 + 0.551738i
\(302\) −223.038 386.313i −0.0424980 0.0736087i
\(303\) 1257.36 4006.01i 0.238394 0.759536i
\(304\) −1736.29 3007.34i −0.327575 0.567377i
\(305\) 2892.63 5010.18i 0.543054 0.940597i
\(306\) −152.066 105.889i −0.0284087 0.0197820i
\(307\) 3157.09 0.586921 0.293460 0.955971i \(-0.405193\pi\)
0.293460 + 0.955971i \(0.405193\pi\)
\(308\) −3171.89 + 1165.38i −0.586803 + 0.215596i
\(309\) 1530.46 341.386i 0.281763 0.0628503i
\(310\) −889.098 + 1539.96i −0.162895 + 0.282142i
\(311\) 1440.38 0.262625 0.131313 0.991341i \(-0.458081\pi\)
0.131313 + 0.991341i \(0.458081\pi\)
\(312\) 1251.29 3986.66i 0.227052 0.723397i
\(313\) 5415.30 0.977926 0.488963 0.872305i \(-0.337375\pi\)
0.488963 + 0.872305i \(0.337375\pi\)
\(314\) 1833.77 0.329571
\(315\) 3165.95 3201.83i 0.566289 0.572707i
\(316\) −5239.30 −0.932702
\(317\) 4493.72 0.796191 0.398095 0.917344i \(-0.369671\pi\)
0.398095 + 0.917344i \(0.369671\pi\)
\(318\) 2456.99 548.059i 0.433275 0.0966465i
\(319\) 6410.66 1.12517
\(320\) −231.348 + 400.706i −0.0404148 + 0.0700004i
\(321\) 1790.35 5704.13i 0.311300 0.991818i
\(322\) −3382.99 2821.23i −0.585486 0.488264i
\(323\) 732.202 0.126133
\(324\) 4466.78 + 763.657i 0.765909 + 0.130943i
\(325\) 929.947 1610.72i 0.158721 0.274912i
\(326\) −103.609 179.456i −0.0176024 0.0304883i
\(327\) 9147.40 2040.43i 1.54695 0.345064i
\(328\) −1590.36 2754.58i −0.267722 0.463709i
\(329\) 241.836 1396.26i 0.0405253 0.233977i
\(330\) −1241.00 1350.78i −0.207014 0.225327i
\(331\) −9867.22 −1.63852 −0.819262 0.573419i \(-0.805617\pi\)
−0.819262 + 0.573419i \(0.805617\pi\)
\(332\) −3524.31 + 6104.29i −0.582596 + 1.00909i
\(333\) 1040.09 488.304i 0.171162 0.0803571i
\(334\) 876.876 + 1518.79i 0.143654 + 0.248817i
\(335\) 733.692 1270.79i 0.119659 0.207256i
\(336\) 1972.48 1268.66i 0.320261 0.205985i
\(337\) 1310.64 + 2270.10i 0.211855 + 0.366944i 0.952295 0.305178i \(-0.0987161\pi\)
−0.740440 + 0.672123i \(0.765383\pi\)
\(338\) 269.347 466.522i 0.0433448 0.0750753i
\(339\) −1899.24 + 6051.09i −0.304286 + 0.969469i
\(340\) 143.814 + 249.094i 0.0229395 + 0.0397323i
\(341\) −2169.94 3758.45i −0.344601 0.596867i
\(342\) 4651.34 2183.72i 0.735426 0.345268i
\(343\) 3126.05 5530.05i 0.492102 0.870538i
\(344\) −2306.06 + 3994.22i −0.361438 + 0.626028i
\(345\) −2495.27 + 7950.06i −0.389394 + 1.24063i
\(346\) 257.904 0.0400723
\(347\) −12091.2 −1.87058 −0.935290 0.353881i \(-0.884862\pi\)
−0.935290 + 0.353881i \(0.884862\pi\)
\(348\) −6885.25 + 1535.83i −1.06060 + 0.236578i
\(349\) 2.47828 4.29251i 0.000380113 0.000658375i −0.865835 0.500329i \(-0.833212\pi\)
0.866215 + 0.499671i \(0.166546\pi\)
\(350\) −1019.64 + 374.622i −0.155719 + 0.0572125i
\(351\) −5498.32 2252.37i −0.836122 0.342514i
\(352\) −2706.96 4688.60i −0.409891 0.709952i
\(353\) 261.770 + 453.399i 0.0394691 + 0.0683626i 0.885085 0.465429i \(-0.154100\pi\)
−0.845616 + 0.533792i \(0.820767\pi\)
\(354\) 570.637 + 621.116i 0.0856751 + 0.0932540i
\(355\) 3754.34 6502.70i 0.561294 0.972190i
\(356\) 1541.94 + 2670.71i 0.229557 + 0.397605i
\(357\) 23.7107 + 493.934i 0.00351513 + 0.0732262i
\(358\) 2668.09 4621.27i 0.393891 0.682240i
\(359\) 596.823 + 1033.73i 0.0877412 + 0.151972i 0.906556 0.422086i \(-0.138702\pi\)
−0.818815 + 0.574058i \(0.805368\pi\)
\(360\) 3788.31 + 2637.93i 0.554615 + 0.386198i
\(361\) −6722.54 + 11643.8i −0.980105 + 1.69759i
\(362\) −6178.87 −0.897111
\(363\) −2380.75 + 531.051i −0.344234 + 0.0767850i
\(364\) −4576.62 + 1681.49i −0.659012 + 0.242126i
\(365\) −562.606 974.463i −0.0806799 0.139742i
\(366\) 3016.55 + 3283.40i 0.430814 + 0.468924i
\(367\) 1397.79 + 2421.04i 0.198812 + 0.344353i 0.948144 0.317842i \(-0.102958\pi\)
−0.749331 + 0.662195i \(0.769625\pi\)
\(368\) −2169.96 + 3758.48i −0.307383 + 0.532403i
\(369\) −4094.27 + 1922.18i −0.577614 + 0.271178i
\(370\) 511.809 0.0719126
\(371\) −5159.32 4302.60i −0.721991 0.602102i
\(372\) 3231.01 + 3516.83i 0.450323 + 0.490159i
\(373\) 3137.09 5433.60i 0.435476 0.754266i −0.561858 0.827233i \(-0.689913\pi\)
0.997334 + 0.0729670i \(0.0232468\pi\)
\(374\) 201.446 0.0278517
\(375\) 5347.12 + 5820.13i 0.736331 + 0.801467i
\(376\) 1452.77 0.199258
\(377\) 9249.74 1.26362
\(378\) 1623.73 + 3067.02i 0.220941 + 0.417329i
\(379\) −12176.6 −1.65031 −0.825157 0.564903i \(-0.808913\pi\)
−0.825157 + 0.564903i \(0.808913\pi\)
\(380\) −7975.98 −1.07673
\(381\) −3832.52 4171.55i −0.515344 0.560932i
\(382\) −3216.33 −0.430790
\(383\) −5938.62 + 10286.0i −0.792295 + 1.37230i 0.132247 + 0.991217i \(0.457781\pi\)
−0.924542 + 0.381079i \(0.875553\pi\)
\(384\) 4946.02 + 5383.55i 0.657294 + 0.715438i
\(385\) −835.402 + 4823.27i −0.110587 + 0.638485i
\(386\) 1207.43 0.159214
\(387\) 5382.20 + 3747.81i 0.706958 + 0.492279i
\(388\) 801.338 1387.96i 0.104850 0.181605i
\(389\) 286.975 + 497.055i 0.0374041 + 0.0647858i 0.884121 0.467257i \(-0.154758\pi\)
−0.846717 + 0.532043i \(0.821424\pi\)
\(390\) −1790.59 1948.99i −0.232488 0.253054i
\(391\) −457.543 792.487i −0.0591788 0.102501i
\(392\) 6133.22 + 2190.28i 0.790240 + 0.282209i
\(393\) 13203.5 2945.18i 1.69473 0.378027i
\(394\) 4563.48 0.583514
\(395\) −3794.80 + 6572.79i −0.483386 + 0.837248i
\(396\) −4459.41 + 2093.61i −0.565894 + 0.265676i
\(397\) −3496.01 6055.26i −0.441964 0.765503i 0.555872 0.831268i \(-0.312385\pi\)
−0.997835 + 0.0657648i \(0.979051\pi\)
\(398\) 1753.54 3037.21i 0.220846 0.382517i
\(399\) −12190.6 6279.01i −1.52955 0.787829i
\(400\) 535.115 + 926.846i 0.0668894 + 0.115856i
\(401\) 795.562 1377.95i 0.0990735 0.171600i −0.812228 0.583340i \(-0.801745\pi\)
0.911301 + 0.411740i \(0.135079\pi\)
\(402\) 765.125 + 832.808i 0.0949277 + 0.103325i
\(403\) −3130.94 5422.95i −0.387006 0.670314i
\(404\) −2511.46 4349.98i −0.309282 0.535692i
\(405\) 4193.29 5050.54i 0.514485 0.619663i
\(406\) −4148.95 3460.00i −0.507164 0.422948i
\(407\) −624.563 + 1081.78i −0.0760650 + 0.131748i
\(408\) −494.807 + 110.372i −0.0600407 + 0.0133927i
\(409\) −5116.03 −0.618512 −0.309256 0.950979i \(-0.600080\pi\)
−0.309256 + 0.950979i \(0.600080\pi\)
\(410\) −2014.71 −0.242681
\(411\) −18.9040 + 60.2292i −0.00226878 + 0.00722844i
\(412\) 937.946 1624.57i 0.112158 0.194264i
\(413\) 384.135 2217.84i 0.0457677 0.264244i
\(414\) −5270.06 3669.73i −0.625627 0.435646i
\(415\) 5105.29 + 8842.61i 0.603876 + 1.04594i
\(416\) −3905.79 6765.03i −0.460330 0.797315i
\(417\) −2919.39 + 9301.33i −0.342838 + 1.09230i
\(418\) −2793.07 + 4837.74i −0.326827 + 0.566080i
\(419\) 690.084 + 1195.26i 0.0804602 + 0.139361i 0.903448 0.428698i \(-0.141028\pi\)
−0.822988 + 0.568059i \(0.807694\pi\)
\(420\) −258.283 5380.48i −0.0300070 0.625097i
\(421\) −2454.61 + 4251.52i −0.284158 + 0.492176i −0.972405 0.233301i \(-0.925047\pi\)
0.688247 + 0.725477i \(0.258381\pi\)
\(422\) −557.730 966.017i −0.0643362 0.111434i
\(423\) 174.694 2058.46i 0.0200802 0.236610i
\(424\) 3443.65 5964.58i 0.394430 0.683173i
\(425\) −225.661 −0.0257557
\(426\) 3915.18 + 4261.52i 0.445284 + 0.484674i
\(427\) 2030.65 11724.2i 0.230141 1.32874i
\(428\) −3576.05 6193.90i −0.403867 0.699518i
\(429\) 6304.53 1406.29i 0.709523 0.158267i
\(430\) 1460.69 + 2529.98i 0.163815 + 0.283737i
\(431\) −2673.64 + 4630.87i −0.298804 + 0.517544i −0.975863 0.218385i \(-0.929921\pi\)
0.677059 + 0.735929i \(0.263254\pi\)
\(432\) 2704.37 2091.96i 0.301189 0.232985i
\(433\) 6346.11 0.704329 0.352165 0.935938i \(-0.385446\pi\)
0.352165 + 0.935938i \(0.385446\pi\)
\(434\) −624.155 + 3603.62i −0.0690332 + 0.398570i
\(435\) −3060.24 + 9750.06i −0.337304 + 1.07467i
\(436\) 5606.00 9709.88i 0.615777 1.06656i
\(437\) 25375.4 2.77774
\(438\) 846.408 188.800i 0.0923354 0.0205964i
\(439\) −9621.85 −1.04607 −0.523036 0.852311i \(-0.675201\pi\)
−0.523036 + 0.852311i \(0.675201\pi\)
\(440\) −5018.48 −0.543742
\(441\) 3840.97 8426.92i 0.414747 0.909937i
\(442\) 290.661 0.0312790
\(443\) 2085.63 0.223682 0.111841 0.993726i \(-0.464325\pi\)
0.111841 + 0.993726i \(0.464325\pi\)
\(444\) 411.635 1311.49i 0.0439985 0.140181i
\(445\) 4467.27 0.475885
\(446\) −1439.29 + 2492.93i −0.152808 + 0.264672i
\(447\) 4596.16 1025.22i 0.486333 0.108482i
\(448\) −162.408 + 937.680i −0.0171274 + 0.0988866i
\(449\) 10279.2 1.08042 0.540208 0.841532i \(-0.318346\pi\)
0.540208 + 0.841532i \(0.318346\pi\)
\(450\) −1433.52 + 673.011i −0.150171 + 0.0705023i
\(451\) 2458.56 4258.35i 0.256694 0.444607i
\(452\) 3793.56 + 6570.64i 0.394766 + 0.683755i
\(453\) −519.708 + 1655.82i −0.0539029 + 0.171737i
\(454\) 937.985 + 1624.64i 0.0969644 + 0.167947i
\(455\) −1205.37 + 6959.34i −0.124195 + 0.717053i
\(456\) 4209.95 13413.1i 0.432345 1.37747i
\(457\) 9746.75 0.997667 0.498833 0.866698i \(-0.333762\pi\)
0.498833 + 0.866698i \(0.333762\pi\)
\(458\) −3839.18 + 6649.66i −0.391688 + 0.678424i
\(459\) 96.8887 + 714.376i 0.00985268 + 0.0726454i
\(460\) 4984.07 + 8632.66i 0.505181 + 0.875000i
\(461\) −3900.98 + 6756.70i −0.394115 + 0.682627i −0.992988 0.118217i \(-0.962282\pi\)
0.598873 + 0.800844i \(0.295615\pi\)
\(462\) −3353.92 1727.51i −0.337746 0.173963i
\(463\) 3544.24 + 6138.81i 0.355756 + 0.616187i 0.987247 0.159196i \(-0.0508901\pi\)
−0.631491 + 0.775383i \(0.717557\pi\)
\(464\) −2661.27 + 4609.45i −0.266264 + 0.461182i
\(465\) 6752.13 1506.14i 0.673382 0.150205i
\(466\) 327.858 + 567.867i 0.0325917 + 0.0564505i
\(467\) −8800.70 15243.3i −0.872051 1.51044i −0.859872 0.510510i \(-0.829457\pi\)
−0.0121791 0.999926i \(-0.503877\pi\)
\(468\) −6434.35 + 3020.80i −0.635529 + 0.298369i
\(469\) 515.059 2973.74i 0.0507105 0.292782i
\(470\) 460.101 796.918i 0.0451550 0.0782108i
\(471\) −4826.68 5253.66i −0.472191 0.513961i
\(472\) 2307.60 0.225034
\(473\) −7129.94 −0.693098
\(474\) −3957.38 4307.45i −0.383478 0.417401i
\(475\) 3128.81 5419.26i 0.302231 0.523479i
\(476\) 454.324 + 378.881i 0.0437477 + 0.0364832i
\(477\) −8037.26 5596.63i −0.771490 0.537216i
\(478\) −4389.86 7603.46i −0.420057 0.727561i
\(479\) −5492.39 9513.09i −0.523911 0.907441i −0.999613 0.0278342i \(-0.991139\pi\)
0.475701 0.879607i \(-0.342194\pi\)
\(480\) 8423.17 1878.88i 0.800965 0.178664i
\(481\) −901.162 + 1560.86i −0.0854251 + 0.147961i
\(482\) 634.072 + 1098.24i 0.0599195 + 0.103784i
\(483\) 821.724 + 17117.9i 0.0774115 + 1.61261i
\(484\) −1459.05 + 2527.14i −0.137025 + 0.237335i
\(485\) −1160.81 2010.58i −0.108680 0.188239i
\(486\) 2746.04 + 4249.14i 0.256302 + 0.396595i
\(487\) 5700.22 9873.07i 0.530394 0.918669i −0.468977 0.883210i \(-0.655377\pi\)
0.999371 0.0354587i \(-0.0112892\pi\)
\(488\) 12198.7 1.13157
\(489\) −241.423 + 769.186i −0.0223263 + 0.0711325i
\(490\) 3143.91 2670.71i 0.289852 0.246225i
\(491\) 7398.90 + 12815.3i 0.680056 + 1.17789i 0.974963 + 0.222366i \(0.0713779\pi\)
−0.294907 + 0.955526i \(0.595289\pi\)
\(492\) −1620.38 + 5162.60i −0.148480 + 0.473065i
\(493\) −561.137 971.917i −0.0512623 0.0887889i
\(494\) −4030.03 + 6980.22i −0.367044 + 0.635739i
\(495\) −603.466 + 7110.80i −0.0547955 + 0.645670i
\(496\) 3603.25 0.326191
\(497\) 2635.58 15216.8i 0.237871 1.37337i
\(498\) −7680.60 + 1713.24i −0.691116 + 0.154161i
\(499\) −6738.22 + 11670.9i −0.604498 + 1.04702i 0.387633 + 0.921814i \(0.373293\pi\)
−0.992131 + 0.125207i \(0.960041\pi\)
\(500\) 9455.00 0.845681
\(501\) 2043.24 6509.86i 0.182206 0.580517i
\(502\) 7069.51 0.628541
\(503\) −21056.6 −1.86653 −0.933267 0.359182i \(-0.883056\pi\)
−0.933267 + 0.359182i \(0.883056\pi\)
\(504\) 9184.63 + 2405.62i 0.811738 + 0.212609i
\(505\) −7276.16 −0.641158
\(506\) 6981.39 0.613361
\(507\) −2045.52 + 456.275i −0.179181 + 0.0399682i
\(508\) −6776.83 −0.591876
\(509\) 4829.68 8365.25i 0.420573 0.728454i −0.575422 0.817856i \(-0.695162\pi\)
0.995996 + 0.0894023i \(0.0284957\pi\)
\(510\) −96.1638 + 306.382i −0.00834942 + 0.0266017i
\(511\) −1777.33 1482.20i −0.153864 0.128314i
\(512\) 8196.75 0.707517
\(513\) −18499.1 7578.10i −1.59212 0.652205i
\(514\) −2486.57 + 4306.87i −0.213381 + 0.369587i
\(515\) −1358.70 2353.34i −0.116255 0.201360i
\(516\) 7657.78 1708.15i 0.653324 0.145731i
\(517\) 1122.93 + 1944.97i 0.0955248 + 0.165454i
\(518\) 988.075 363.026i 0.0838099 0.0307924i
\(519\) −678.834 738.884i −0.0574133 0.0624922i
\(520\) −7241.00 −0.610652
\(521\) −4153.71 + 7194.44i −0.349285 + 0.604979i −0.986123 0.166019i \(-0.946909\pi\)
0.636838 + 0.770998i \(0.280242\pi\)
\(522\) −6463.28 4500.61i −0.541935 0.377368i
\(523\) 7905.79 + 13693.2i 0.660987 + 1.14486i 0.980357 + 0.197233i \(0.0631955\pi\)
−0.319370 + 0.947630i \(0.603471\pi\)
\(524\) 8091.78 14015.4i 0.674602 1.16844i
\(525\) 3757.08 + 1935.16i 0.312328 + 0.160871i
\(526\) 3057.21 + 5295.24i 0.253423 + 0.438942i
\(527\) −379.878 + 657.968i −0.0313999 + 0.0543862i
\(528\) −1113.09 + 3546.36i −0.0917444 + 0.292302i
\(529\) −9773.24 16927.7i −0.803258 1.39128i
\(530\) −2181.25 3778.04i −0.178769 0.309637i
\(531\) 277.487 3269.70i 0.0226778 0.267218i
\(532\) −15398.1 + 5657.37i −1.25487 + 0.461049i
\(533\) 3547.38 6144.23i 0.288281 0.499318i
\(534\) −1031.04 + 3284.95i −0.0835534 + 0.266205i
\(535\) −10360.5 −0.837238
\(536\) 3094.09 0.249337
\(537\) −20262.5 + 4519.76i −1.62829 + 0.363207i
\(538\) 3938.01 6820.84i 0.315576 0.546593i
\(539\) 1808.36 + 9904.14i 0.144511 + 0.791469i
\(540\) −1055.42 7781.80i −0.0841076 0.620139i
\(541\) 8990.23 + 15571.5i 0.714455 + 1.23747i 0.963169 + 0.268895i \(0.0866585\pi\)
−0.248715 + 0.968577i \(0.580008\pi\)
\(542\) −3443.36 5964.07i −0.272887 0.472655i
\(543\) 16263.5 + 17702.2i 1.28533 + 1.39903i
\(544\) −473.891 + 820.803i −0.0373491 + 0.0646905i
\(545\) −8120.81 14065.7i −0.638270 1.10552i
\(546\) −4839.26 2492.57i −0.379307 0.195370i
\(547\) −9366.21 + 16222.7i −0.732121 + 1.26807i 0.223854 + 0.974623i \(0.428136\pi\)
−0.955975 + 0.293448i \(0.905197\pi\)
\(548\) 37.7591 + 65.4006i 0.00294341 + 0.00509813i
\(549\) 1466.88 17284.6i 0.114034 1.34369i
\(550\) 860.811 1490.97i 0.0667365 0.115591i
\(551\) 31120.8 2.40615
\(552\) −17148.2 + 3825.09i −1.32224 + 0.294939i
\(553\) −2663.99 + 15380.8i −0.204854 + 1.18275i
\(554\) 3375.18 + 5845.98i 0.258840 + 0.448325i
\(555\) −1347.14 1466.31i −0.103032 0.112147i
\(556\) 5831.22 + 10100.0i 0.444782 + 0.770385i
\(557\) 3032.30 5252.10i 0.230669 0.399531i −0.727336 0.686282i \(-0.759242\pi\)
0.958005 + 0.286751i \(0.0925751\pi\)
\(558\) −450.869 + 5312.71i −0.0342058 + 0.403055i
\(559\) −10287.6 −0.778386
\(560\) −3121.27 2602.97i −0.235532 0.196421i
\(561\) −530.231 577.135i −0.0399044 0.0434344i
\(562\) −1214.74 + 2103.99i −0.0911758 + 0.157921i
\(563\) −17027.1 −1.27461 −0.637306 0.770611i \(-0.719951\pi\)
−0.637306 + 0.770611i \(0.719951\pi\)
\(564\) −1672.02 1819.93i −0.124831 0.135874i
\(565\) 10990.6 0.818371
\(566\) 1809.69 0.134394
\(567\) 4513.03 12724.7i 0.334267 0.942478i
\(568\) 15832.6 1.16958
\(569\) −6308.56 −0.464796 −0.232398 0.972621i \(-0.574657\pi\)
−0.232398 + 0.972621i \(0.574657\pi\)
\(570\) −6024.46 6557.39i −0.442696 0.481857i
\(571\) 390.088 0.0285896 0.0142948 0.999898i \(-0.495450\pi\)
0.0142948 + 0.999898i \(0.495450\pi\)
\(572\) 3863.74 6692.19i 0.282432 0.489187i
\(573\) 8465.75 + 9214.64i 0.617211 + 0.671810i
\(574\) −3889.50 + 1429.03i −0.282830 + 0.103914i
\(575\) −7820.59 −0.567202
\(576\) −117.318 + 1382.39i −0.00848657 + 0.0999995i
\(577\) −8361.29 + 14482.2i −0.603267 + 1.04489i 0.389056 + 0.921214i \(0.372801\pi\)
−0.992323 + 0.123674i \(0.960532\pi\)
\(578\) 3263.27 + 5652.14i 0.234834 + 0.406744i
\(579\) −3178.09 3459.23i −0.228112 0.248291i
\(580\) 6112.53 + 10587.2i 0.437602 + 0.757949i
\(581\) 16128.1 + 13450.0i 1.15165 + 0.960411i
\(582\) 1746.37 389.546i 0.124380 0.0277444i
\(583\) 10647.2 0.756365
\(584\) 1186.30 2054.73i 0.0840573 0.145591i
\(585\) −870.722 + 10259.9i −0.0615384 + 0.725122i
\(586\) −798.750 1383.48i −0.0563073 0.0975270i
\(587\) −9740.55 + 16871.1i −0.684899 + 1.18628i 0.288570 + 0.957459i \(0.406820\pi\)
−0.973469 + 0.228821i \(0.926513\pi\)
\(588\) −4315.01 10204.1i −0.302633 0.715665i
\(589\) −10534.1 18245.5i −0.736925 1.27639i
\(590\) 730.832 1265.84i 0.0509964 0.0883283i
\(591\) −12011.6 13074.2i −0.836026 0.909981i
\(592\) −518.552 898.158i −0.0360006 0.0623548i
\(593\) −7105.59 12307.2i −0.492060 0.852273i 0.507898 0.861417i \(-0.330423\pi\)
−0.999958 + 0.00914421i \(0.997089\pi\)
\(594\) −5089.55 2084.92i −0.351560 0.144015i
\(595\) 804.377 295.535i 0.0554223 0.0203626i
\(596\) 2816.76 4878.78i 0.193589 0.335306i
\(597\) −13317.0 + 2970.50i −0.912945 + 0.203642i
\(598\) 10073.2 0.688838
\(599\) −8861.97 −0.604491 −0.302246 0.953230i \(-0.597736\pi\)
−0.302246 + 0.953230i \(0.597736\pi\)
\(600\) −1297.49 + 4133.86i −0.0882828 + 0.281273i
\(601\) −6052.58 + 10483.4i −0.410798 + 0.711524i −0.994977 0.100101i \(-0.968083\pi\)
0.584179 + 0.811625i \(0.301417\pi\)
\(602\) 4614.46 + 3848.21i 0.312411 + 0.260534i
\(603\) 372.061 4384.10i 0.0251269 0.296077i
\(604\) 1038.07 + 1797.99i 0.0699311 + 0.121124i
\(605\) 2113.56 + 3660.79i 0.142030 + 0.246004i
\(606\) 1679.33 5350.43i 0.112571 0.358657i
\(607\) −1460.25 + 2529.23i −0.0976439 + 0.169124i −0.910709 0.413049i \(-0.864464\pi\)
0.813065 + 0.582173i \(0.197797\pi\)
\(608\) −13141.1 22761.0i −0.876546 1.51822i
\(609\) 1007.77 + 20993.7i 0.0670559 + 1.39689i
\(610\) 3863.39 6691.59i 0.256433 0.444155i
\(611\) 1620.24 + 2806.33i 0.107280 + 0.185814i
\(612\) 707.751 + 492.832i 0.0467470 + 0.0325515i
\(613\) 13246.6 22943.8i 0.872799 1.51173i 0.0137106 0.999906i \(-0.495636\pi\)
0.859089 0.511827i \(-0.171031\pi\)
\(614\) 4216.61 0.277147
\(615\) 5302.94 + 5772.04i 0.347700 + 0.378457i
\(616\) −9688.45 + 3559.61i −0.633699 + 0.232826i
\(617\) −2694.79 4667.52i −0.175832 0.304550i 0.764617 0.644485i \(-0.222928\pi\)
−0.940449 + 0.339935i \(0.889595\pi\)
\(618\) 2044.08 455.954i 0.133050 0.0296783i
\(619\) 1800.48 + 3118.53i 0.116910 + 0.202495i 0.918542 0.395324i \(-0.129368\pi\)
−0.801631 + 0.597819i \(0.796034\pi\)
\(620\) 4138.06 7167.33i 0.268046 0.464269i
\(621\) 3357.81 + 24757.7i 0.216979 + 1.59982i
\(622\) 1923.77 0.124013
\(623\) 8624.31 3168.64i 0.554616 0.203770i
\(624\) −1606.04 + 5116.93i −0.103034 + 0.328271i
\(625\) 4103.50 7107.47i 0.262624 0.454878i
\(626\) 7232.67 0.461782
\(627\) 21211.6 4731.47i 1.35105 0.301366i
\(628\) −8534.75 −0.542315
\(629\) 218.676 0.0138620
\(630\) 4228.44 4276.36i 0.267405 0.270436i
\(631\) 7891.32 0.497858 0.248929 0.968522i \(-0.419921\pi\)
0.248929 + 0.968522i \(0.419921\pi\)
\(632\) −16003.3 −1.00724
\(633\) −1299.59 + 4140.54i −0.0816017 + 0.259987i
\(634\) 6001.81 0.375966
\(635\) −4908.43 + 8501.64i −0.306748 + 0.531303i
\(636\) −11435.4 + 2550.79i −0.712960 + 0.159033i
\(637\) 2609.23 + 14290.4i 0.162294 + 0.888862i
\(638\) 8562.08 0.531310
\(639\) 1903.86 22433.6i 0.117864 1.38883i
\(640\) 6334.52 10971.7i 0.391241 0.677649i
\(641\) −5411.02 9372.16i −0.333420 0.577501i 0.649760 0.760140i \(-0.274869\pi\)
−0.983180 + 0.182639i \(0.941536\pi\)
\(642\) 2391.19 7618.44i 0.146998 0.468342i
\(643\) −5256.94 9105.29i −0.322416 0.558441i 0.658570 0.752520i \(-0.271162\pi\)
−0.980986 + 0.194079i \(0.937828\pi\)
\(644\) 15745.2 + 13130.6i 0.963427 + 0.803446i
\(645\) 3403.60 10844.0i 0.207777 0.661989i
\(646\) 977.929 0.0595605
\(647\) 1267.12 2194.72i 0.0769948 0.133359i −0.824957 0.565195i \(-0.808801\pi\)
0.901952 + 0.431836i \(0.142134\pi\)
\(648\) 13643.6 + 2332.57i 0.827119 + 0.141407i
\(649\) 1783.68 + 3089.42i 0.107882 + 0.186857i
\(650\) 1242.04 2151.27i 0.0749487 0.129815i
\(651\) 11967.1 7696.97i 0.720471 0.463392i
\(652\) 482.220 + 835.230i 0.0289650 + 0.0501689i
\(653\) 11405.0 19754.0i 0.683477 1.18382i −0.290436 0.956894i \(-0.593800\pi\)
0.973913 0.226922i \(-0.0728663\pi\)
\(654\) 12217.3 2725.19i 0.730478 0.162941i
\(655\) −11721.7 20302.6i −0.699243 1.21112i
\(656\) 2041.25 + 3535.55i 0.121490 + 0.210427i
\(657\) −2768.75 1927.98i −0.164413 0.114486i
\(658\) 322.995 1864.85i 0.0191363 0.110485i
\(659\) −15066.4 + 26095.7i −0.890595 + 1.54256i −0.0514322 + 0.998676i \(0.516379\pi\)
−0.839163 + 0.543880i \(0.816955\pi\)
\(660\) 5775.87 + 6286.81i 0.340645 + 0.370778i
\(661\) −2208.87 −0.129978 −0.0649888 0.997886i \(-0.520701\pi\)
−0.0649888 + 0.997886i \(0.520701\pi\)
\(662\) −13178.7 −0.773720
\(663\) −765.053 832.730i −0.0448148 0.0487791i
\(664\) −10764.9 + 18645.4i −0.629155 + 1.08973i
\(665\) −4055.49 + 23414.7i −0.236489 + 1.36539i
\(666\) 1389.15 652.179i 0.0808235 0.0379451i
\(667\) −19446.9 33683.1i −1.12892 1.95534i
\(668\) −4081.18 7068.81i −0.236385 0.409432i
\(669\) 10930.5 2438.17i 0.631687 0.140904i
\(670\) 979.918 1697.27i 0.0565038 0.0978674i
\(671\) 9429.05 + 16331.6i 0.542480 + 0.939603i
\(672\) 14928.7 9601.84i 0.856975 0.551189i
\(673\) 4400.74 7622.31i 0.252060 0.436580i −0.712033 0.702146i \(-0.752225\pi\)
0.964093 + 0.265566i \(0.0855588\pi\)
\(674\) 1750.49 + 3031.94i 0.100039 + 0.173273i
\(675\) 5701.34 + 2335.53i 0.325103 + 0.133177i
\(676\) −1253.60 + 2171.30i −0.0713245 + 0.123538i
\(677\) −17686.7 −1.00407 −0.502034 0.864848i \(-0.667415\pi\)
−0.502034 + 0.864848i \(0.667415\pi\)
\(678\) −2536.63 + 8081.83i −0.143685 + 0.457789i
\(679\) −3667.12 3058.18i −0.207262 0.172845i
\(680\) 439.276 + 760.848i 0.0247727 + 0.0429077i
\(681\) 2185.63 6963.52i 0.122986 0.391840i
\(682\) −2898.17 5019.78i −0.162723 0.281844i
\(683\) −147.258 + 255.059i −0.00824990 + 0.0142892i −0.870121 0.492838i \(-0.835959\pi\)
0.861871 + 0.507128i \(0.169293\pi\)
\(684\) −21648.4 + 10163.5i −1.21016 + 0.568145i
\(685\) 109.395 0.00610184
\(686\) 4175.15 7385.92i 0.232373 0.411073i
\(687\) 29156.2 6503.59i 1.61918 0.361175i
\(688\) 2959.86 5126.63i 0.164017 0.284086i
\(689\) 15362.5 0.849439
\(690\) −3332.68 + 10618.1i −0.183874 + 0.585831i
\(691\) 31433.7 1.73053 0.865263 0.501318i \(-0.167151\pi\)
0.865263 + 0.501318i \(0.167151\pi\)
\(692\) −1200.34 −0.0659396
\(693\) 3878.67 + 14155.8i 0.212610 + 0.775953i
\(694\) −16149.0 −0.883299
\(695\) 16894.1 0.922057
\(696\) −21030.8 + 4691.14i −1.14536 + 0.255485i
\(697\) −860.807 −0.0467796
\(698\) 3.30999 5.73307i 0.000179491 0.000310888i
\(699\) 763.953 2433.99i 0.0413381 0.131705i
\(700\) 4745.61 1743.57i 0.256239 0.0941442i
\(701\) 23597.8 1.27144 0.635719 0.771921i \(-0.280704\pi\)
0.635719 + 0.771921i \(0.280704\pi\)
\(702\) −7343.56 3008.26i −0.394821 0.161737i
\(703\) −3031.96 + 5251.52i −0.162664 + 0.281742i
\(704\) −754.119 1306.17i −0.0403721 0.0699265i
\(705\) −3494.17 + 779.413i −0.186664 + 0.0416374i
\(706\) 349.620 + 605.559i 0.0186376 + 0.0322812i
\(707\) −14047.0 + 5160.99i −0.747232 + 0.274539i
\(708\) −2655.87 2890.81i −0.140980 0.153451i
\(709\) 7518.46 0.398254 0.199127 0.979974i \(-0.436189\pi\)
0.199127 + 0.979974i \(0.436189\pi\)
\(710\) 5014.29 8685.00i 0.265046 0.459074i
\(711\) −1924.38 + 22675.4i −0.101505 + 1.19606i
\(712\) 4709.80 + 8157.61i 0.247903 + 0.429381i
\(713\) −13165.2 + 22802.7i −0.691500 + 1.19771i
\(714\) 31.6679 + 659.698i 0.00165986 + 0.0345778i
\(715\) −5596.98 9694.25i −0.292748 0.507055i
\(716\) −12417.9 + 21508.4i −0.648155 + 1.12264i
\(717\) −10229.0 + 32589.9i −0.532786 + 1.69748i
\(718\) 797.116 + 1380.65i 0.0414319 + 0.0717621i
\(719\) −12749.8 22083.2i −0.661315 1.14543i −0.980270 0.197662i \(-0.936665\pi\)
0.318955 0.947770i \(-0.396668\pi\)
\(720\) −4862.35 3385.83i −0.251679 0.175253i
\(721\) −4292.27 3579.52i −0.221710 0.184894i
\(722\) −8978.62 + 15551.4i −0.462811 + 0.801612i
\(723\) 1477.47 4707.30i 0.0759997 0.242139i
\(724\) 28757.8 1.47621
\(725\) −9591.28 −0.491326
\(726\) −3179.72 + 709.271i −0.162549 + 0.0362583i
\(727\) 16313.3 28255.5i 0.832224 1.44145i −0.0640474 0.997947i \(-0.520401\pi\)
0.896271 0.443507i \(-0.146266\pi\)
\(728\) −13979.2 + 5136.05i −0.711679 + 0.261476i
\(729\) 4945.70 19051.5i 0.251268 0.967918i
\(730\) −751.417 1301.49i −0.0380975 0.0659868i
\(731\) 624.096 + 1080.97i 0.0315773 + 0.0546936i
\(732\) −14039.7 15281.7i −0.708911 0.771622i
\(733\) 5397.29 9348.37i 0.271969 0.471064i −0.697397 0.716685i \(-0.745659\pi\)
0.969366 + 0.245621i \(0.0789918\pi\)
\(734\) 1866.89 + 3233.54i 0.0938802 + 0.162605i
\(735\) −15926.6 1977.54i −0.799267 0.0992419i
\(736\) −16423.3 + 28446.0i −0.822515 + 1.42464i
\(737\) 2391.60 + 4142.37i 0.119533 + 0.207037i
\(738\) −5468.31 + 2567.27i −0.272752 + 0.128052i
\(739\) 7733.72 13395.2i 0.384965 0.666779i −0.606799 0.794855i \(-0.707547\pi\)
0.991764 + 0.128076i \(0.0408801\pi\)
\(740\) −2382.07 −0.118333
\(741\) 30605.5 6826.89i 1.51730 0.338451i
\(742\) −6890.79 5746.54i −0.340928 0.284316i
\(743\) −14278.8 24731.7i −0.705033 1.22115i −0.966680 0.255990i \(-0.917599\pi\)
0.261646 0.965164i \(-0.415735\pi\)
\(744\) 9869.03 + 10742.1i 0.486312 + 0.529332i
\(745\) −4080.34 7067.36i −0.200661 0.347554i
\(746\) 4189.90 7257.12i 0.205634 0.356169i
\(747\) 25124.6 + 17495.1i 1.23060 + 0.856912i
\(748\) −937.577 −0.0458305
\(749\) −20001.5 + 7348.69i −0.975751 + 0.358499i
\(750\) 7141.61 + 7773.36i 0.347699 + 0.378457i
\(751\) −3829.56 + 6633.00i −0.186075 + 0.322292i −0.943938 0.330122i \(-0.892910\pi\)
0.757863 + 0.652414i \(0.226244\pi\)
\(752\) −1864.65 −0.0904213
\(753\) −18607.8 20253.8i −0.900538 0.980200i
\(754\) 12354.0 0.596690
\(755\) 3007.47 0.144971
\(756\) −7557.19 14274.6i −0.363561 0.686721i
\(757\) −14615.5 −0.701728 −0.350864 0.936426i \(-0.614112\pi\)
−0.350864 + 0.936426i \(0.614112\pi\)
\(758\) −16263.0 −0.779288
\(759\) −18375.8 20001.4i −0.878789 0.956527i
\(760\) −24362.4 −1.16278
\(761\) −10709.5 + 18549.4i −0.510144 + 0.883595i 0.489787 + 0.871842i \(0.337074\pi\)
−0.999931 + 0.0117529i \(0.996259\pi\)
\(762\) −5118.71 5571.52i −0.243348 0.264875i
\(763\) −25654.5 21394.4i −1.21724 1.01511i
\(764\) 14969.5 0.708871
\(765\) 1130.89 530.929i 0.0534474 0.0250925i
\(766\) −7931.61 + 13738.0i −0.374126 + 0.648006i
\(767\) 2573.61 + 4457.62i 0.121157 + 0.209851i
\(768\) 8051.00 + 8763.20i 0.378275 + 0.411738i
\(769\) 2461.01 + 4262.59i 0.115405 + 0.199887i 0.917941 0.396716i \(-0.129850\pi\)
−0.802537 + 0.596603i \(0.796517\pi\)
\(770\) −1115.76 + 6441.96i −0.0522198 + 0.301496i
\(771\) 18883.9 4212.26i 0.882086 0.196759i
\(772\) −5619.64 −0.261989
\(773\) −400.334 + 693.399i −0.0186275 + 0.0322637i −0.875189