Properties

Label 108.4.l.a.59.11
Level 108
Weight 4
Character 108.59
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.11
Character \(\chi\) \(=\) 108.59
Dual form 108.4.l.a.11.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.10858 - 1.88517i) q^{2} +(-1.35776 + 5.01562i) q^{3} +(0.892234 + 7.95009i) q^{4} +(-5.18482 - 14.2452i) q^{5} +(12.3183 - 8.01624i) q^{6} +(-9.21752 + 1.62530i) q^{7} +(13.1060 - 18.4454i) q^{8} +(-23.3130 - 13.6200i) q^{9} +O(q^{10})\) \(q+(-2.10858 - 1.88517i) q^{2} +(-1.35776 + 5.01562i) q^{3} +(0.892234 + 7.95009i) q^{4} +(-5.18482 - 14.2452i) q^{5} +(12.3183 - 8.01624i) q^{6} +(-9.21752 + 1.62530i) q^{7} +(13.1060 - 18.4454i) q^{8} +(-23.3130 - 13.6200i) q^{9} +(-15.9220 + 39.8114i) q^{10} +(59.3614 + 21.6058i) q^{11} +(-41.0861 - 6.31920i) q^{12} +(44.8414 + 37.6264i) q^{13} +(22.4999 + 13.9496i) q^{14} +(78.4882 - 6.66357i) q^{15} +(-62.4078 + 14.1867i) q^{16} +(50.3759 + 29.0845i) q^{17} +(23.4812 + 72.6680i) q^{18} +(46.1670 - 26.6545i) q^{19} +(108.624 - 53.9298i) q^{20} +(4.36330 - 48.4384i) q^{21} +(-84.4376 - 157.464i) q^{22} +(2.42499 - 13.7528i) q^{23} +(74.7206 + 90.7790i) q^{24} +(-80.2871 + 67.3689i) q^{25} +(-23.6194 - 163.872i) q^{26} +(99.9664 - 98.4364i) q^{27} +(-21.1454 - 71.8300i) q^{28} +(-12.2488 - 14.5975i) q^{29} +(-178.061 - 133.913i) q^{30} +(197.673 + 34.8550i) q^{31} +(158.336 + 87.7359i) q^{32} +(-188.965 + 268.399i) q^{33} +(-51.3922 - 156.294i) q^{34} +(70.9438 + 122.878i) q^{35} +(87.4798 - 197.492i) q^{36} +(101.361 - 175.562i) q^{37} +(-147.595 - 30.8296i) q^{38} +(-249.604 + 173.820i) q^{39} +(-330.710 - 91.0604i) q^{40} +(197.308 - 235.142i) q^{41} +(-100.515 + 93.9107i) q^{42} +(-182.426 + 501.213i) q^{43} +(-118.804 + 491.205i) q^{44} +(-73.1462 + 402.715i) q^{45} +(-31.0397 + 24.4274i) q^{46} +(39.9568 + 226.606i) q^{47} +(13.5798 - 332.276i) q^{48} +(-239.993 + 87.3505i) q^{49} +(296.294 + 9.30241i) q^{50} +(-214.275 + 213.177i) q^{51} +(-259.124 + 390.065i) q^{52} -462.816i q^{53} +(-396.357 + 19.1070i) q^{54} -957.635i q^{55} +(-90.8251 + 191.322i) q^{56} +(71.0054 + 267.747i) q^{57} +(-1.69133 + 53.8712i) q^{58} +(56.3577 - 20.5125i) q^{59} +(123.006 + 618.043i) q^{60} +(-45.0700 - 255.605i) q^{61} +(-351.101 - 446.142i) q^{62} +(237.024 + 87.6524i) q^{63} +(-168.468 - 483.490i) q^{64} +(303.500 - 833.860i) q^{65} +(904.427 - 209.709i) q^{66} +(-160.196 + 190.914i) q^{67} +(-186.277 + 426.443i) q^{68} +(65.6863 + 30.8359i) q^{69} +(82.0562 - 392.841i) q^{70} +(533.420 - 923.911i) q^{71} +(-556.766 + 251.514i) q^{72} +(228.650 + 396.034i) q^{73} +(-544.691 + 179.104i) q^{74} +(-228.886 - 494.161i) q^{75} +(253.098 + 343.250i) q^{76} +(-582.280 - 102.672i) q^{77} +(853.992 + 104.033i) q^{78} +(441.698 + 526.395i) q^{79} +(525.665 + 815.455i) q^{80} +(357.989 + 635.047i) q^{81} +(-859.323 + 123.857i) q^{82} +(-894.982 + 750.979i) q^{83} +(388.983 - 8.52974i) q^{84} +(153.124 - 868.411i) q^{85} +(1329.53 - 712.942i) q^{86} +(89.8467 - 41.6154i) q^{87} +(1176.51 - 811.782i) q^{88} +(-114.202 + 65.9345i) q^{89} +(913.422 - 711.264i) q^{90} +(-474.481 - 273.942i) q^{91} +(111.500 + 7.00816i) q^{92} +(-443.212 + 944.127i) q^{93} +(342.940 - 553.143i) q^{94} +(-619.066 - 519.458i) q^{95} +(-655.033 + 675.032i) q^{96} +(1017.66 + 370.397i) q^{97} +(670.717 + 268.244i) q^{98} +(-1089.62 - 1312.20i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.10858 1.88517i −0.745496 0.666510i
\(3\) −1.35776 + 5.01562i −0.261301 + 0.965257i
\(4\) 0.892234 + 7.95009i 0.111529 + 0.993761i
\(5\) −5.18482 14.2452i −0.463744 1.27413i −0.922649 0.385642i \(-0.873980\pi\)
0.458904 0.888486i \(-0.348242\pi\)
\(6\) 12.3183 8.01624i 0.838153 0.545436i
\(7\) −9.21752 + 1.62530i −0.497699 + 0.0877578i −0.416863 0.908970i \(-0.636870\pi\)
−0.0808368 + 0.996727i \(0.525759\pi\)
\(8\) 13.1060 18.4454i 0.579207 0.815181i
\(9\) −23.3130 13.6200i −0.863443 0.504446i
\(10\) −15.9220 + 39.8114i −0.503499 + 1.25895i
\(11\) 59.3614 + 21.6058i 1.62710 + 0.592217i 0.984716 0.174165i \(-0.0557226\pi\)
0.642385 + 0.766382i \(0.277945\pi\)
\(12\) −41.0861 6.31920i −0.988378 0.152016i
\(13\) 44.8414 + 37.6264i 0.956675 + 0.802746i 0.980409 0.196973i \(-0.0631110\pi\)
−0.0237339 + 0.999718i \(0.507555\pi\)
\(14\) 22.4999 + 13.9496i 0.429524 + 0.266298i
\(15\) 78.4882 6.66357i 1.35104 0.114702i
\(16\) −62.4078 + 14.1867i −0.975122 + 0.221667i
\(17\) 50.3759 + 29.0845i 0.718702 + 0.414943i 0.814275 0.580480i \(-0.197135\pi\)
−0.0955726 + 0.995422i \(0.530468\pi\)
\(18\) 23.4812 + 72.6680i 0.307476 + 0.951556i
\(19\) 46.1670 26.6545i 0.557444 0.321840i −0.194675 0.980868i \(-0.562365\pi\)
0.752119 + 0.659027i \(0.229032\pi\)
\(20\) 108.624 53.9298i 1.21446 0.602954i
\(21\) 4.36330 48.4384i 0.0453405 0.503339i
\(22\) −84.4376 157.464i −0.818280 1.52597i
\(23\) 2.42499 13.7528i 0.0219846 0.124681i −0.971840 0.235640i \(-0.924281\pi\)
0.993825 + 0.110960i \(0.0353924\pi\)
\(24\) 74.7206 + 90.7790i 0.635512 + 0.772091i
\(25\) −80.2871 + 67.3689i −0.642297 + 0.538951i
\(26\) −23.6194 163.872i −0.178160 1.23608i
\(27\) 99.9664 98.4364i 0.712539 0.701633i
\(28\) −21.1454 71.8300i −0.142718 0.484807i
\(29\) −12.2488 14.5975i −0.0784326 0.0934723i 0.725401 0.688326i \(-0.241654\pi\)
−0.803834 + 0.594854i \(0.797210\pi\)
\(30\) −178.061 133.913i −1.08364 0.814970i
\(31\) 197.673 + 34.8550i 1.14526 + 0.201940i 0.713905 0.700242i \(-0.246925\pi\)
0.431355 + 0.902182i \(0.358036\pi\)
\(32\) 158.336 + 87.7359i 0.874693 + 0.484677i
\(33\) −188.965 + 268.399i −0.996805 + 1.41583i
\(34\) −51.3922 156.294i −0.259226 0.788361i
\(35\) 70.9438 + 122.878i 0.342620 + 0.593435i
\(36\) 87.4798 197.492i 0.404999 0.914317i
\(37\) 101.361 175.562i 0.450367 0.780058i −0.548042 0.836451i \(-0.684627\pi\)
0.998409 + 0.0563927i \(0.0179599\pi\)
\(38\) −147.595 30.8296i −0.630082 0.131611i
\(39\) −249.604 + 173.820i −1.02484 + 0.713679i
\(40\) −330.710 91.0604i −1.30725 0.359948i
\(41\) 197.308 235.142i 0.751567 0.895683i −0.245716 0.969342i \(-0.579023\pi\)
0.997283 + 0.0736588i \(0.0234676\pi\)
\(42\) −100.515 + 93.9107i −0.369282 + 0.345018i
\(43\) −182.426 + 501.213i −0.646972 + 1.77754i −0.0183458 + 0.999832i \(0.505840\pi\)
−0.628626 + 0.777708i \(0.716382\pi\)
\(44\) −118.804 + 491.205i −0.407052 + 1.68300i
\(45\) −73.1462 + 402.715i −0.242311 + 1.33407i
\(46\) −31.0397 + 24.4274i −0.0994904 + 0.0782961i
\(47\) 39.9568 + 226.606i 0.124006 + 0.703274i 0.981893 + 0.189436i \(0.0606659\pi\)
−0.857887 + 0.513839i \(0.828223\pi\)
\(48\) 13.5798 332.276i 0.0408349 0.999166i
\(49\) −239.993 + 87.3505i −0.699689 + 0.254666i
\(50\) 296.294 + 9.30241i 0.838046 + 0.0263112i
\(51\) −214.275 + 213.177i −0.588324 + 0.585308i
\(52\) −259.124 + 390.065i −0.691040 + 1.04024i
\(53\) 462.816i 1.19948i −0.800194 0.599742i \(-0.795270\pi\)
0.800194 0.599742i \(-0.204730\pi\)
\(54\) −396.357 + 19.1070i −0.998840 + 0.0481507i
\(55\) 957.635i 2.34777i
\(56\) −90.8251 + 191.322i −0.216732 + 0.456545i
\(57\) 71.0054 + 267.747i 0.164998 + 0.622174i
\(58\) −1.69133 + 53.8712i −0.00382902 + 0.121959i
\(59\) 56.3577 20.5125i 0.124358 0.0452628i −0.279091 0.960265i \(-0.590033\pi\)
0.403450 + 0.915002i \(0.367811\pi\)
\(60\) 123.006 + 618.043i 0.264666 + 1.32982i
\(61\) −45.0700 255.605i −0.0946004 0.536505i −0.994869 0.101171i \(-0.967741\pi\)
0.900269 0.435335i \(-0.143370\pi\)
\(62\) −351.101 446.142i −0.719192 0.913873i
\(63\) 237.024 + 87.6524i 0.474004 + 0.175288i
\(64\) −168.468 483.490i −0.329039 0.944316i
\(65\) 303.500 833.860i 0.579148 1.59119i
\(66\) 904.427 209.709i 1.68678 0.391112i
\(67\) −160.196 + 190.914i −0.292105 + 0.348118i −0.892060 0.451916i \(-0.850741\pi\)
0.599955 + 0.800034i \(0.295185\pi\)
\(68\) −186.277 + 426.443i −0.332198 + 0.760497i
\(69\) 65.6863 + 30.8359i 0.114604 + 0.0538000i
\(70\) 82.0562 392.841i 0.140108 0.670763i
\(71\) 533.420 923.911i 0.891625 1.54434i 0.0536977 0.998557i \(-0.482899\pi\)
0.837927 0.545782i \(-0.183767\pi\)
\(72\) −556.766 + 251.514i −0.911327 + 0.411684i
\(73\) 228.650 + 396.034i 0.366596 + 0.634963i 0.989031 0.147709i \(-0.0471899\pi\)
−0.622435 + 0.782671i \(0.713857\pi\)
\(74\) −544.691 + 179.104i −0.855663 + 0.281357i
\(75\) −228.886 494.161i −0.352394 0.760810i
\(76\) 253.098 + 343.250i 0.382004 + 0.518071i
\(77\) −582.280 102.672i −0.861779 0.151955i
\(78\) 853.992 + 104.033i 1.23969 + 0.151018i
\(79\) 441.698 + 526.395i 0.629049 + 0.749672i 0.982598 0.185744i \(-0.0594696\pi\)
−0.353549 + 0.935416i \(0.615025\pi\)
\(80\) 525.665 + 815.455i 0.734640 + 1.13963i
\(81\) 357.989 + 635.047i 0.491069 + 0.871121i
\(82\) −859.323 + 123.857i −1.15727 + 0.166801i
\(83\) −894.982 + 750.979i −1.18358 + 0.993141i −0.183631 + 0.982995i \(0.558785\pi\)
−0.999949 + 0.0101457i \(0.996770\pi\)
\(84\) 388.983 8.52974i 0.505256 0.0110794i
\(85\) 153.124 868.411i 0.195396 1.10815i
\(86\) 1329.53 712.942i 1.66706 0.893936i
\(87\) 89.8467 41.6154i 0.110719 0.0512832i
\(88\) 1176.51 811.782i 1.42519 0.983366i
\(89\) −114.202 + 65.9345i −0.136016 + 0.0785286i −0.566464 0.824087i \(-0.691689\pi\)
0.430448 + 0.902615i \(0.358356\pi\)
\(90\) 913.422 711.264i 1.06981 0.833042i
\(91\) −474.481 273.942i −0.546584 0.315570i
\(92\) 111.500 + 7.00816i 0.126355 + 0.00794187i
\(93\) −443.212 + 944.127i −0.494182 + 1.05270i
\(94\) 342.940 553.143i 0.376293 0.606940i
\(95\) −619.066 519.458i −0.668577 0.561003i
\(96\) −655.033 + 675.032i −0.696396 + 0.717658i
\(97\) 1017.66 + 370.397i 1.06523 + 0.387713i 0.814391 0.580316i \(-0.197071\pi\)
0.250840 + 0.968029i \(0.419293\pi\)
\(98\) 670.717 + 268.244i 0.691353 + 0.276497i
\(99\) −1089.62 1312.20i −1.10617 1.33213i
\(100\) −607.224 578.181i −0.607224 0.578181i
\(101\) −1228.25 + 216.574i −1.21006 + 0.213366i −0.742042 0.670354i \(-0.766142\pi\)
−0.468017 + 0.883720i \(0.655031\pi\)
\(102\) 853.692 45.5538i 0.828707 0.0442206i
\(103\) −66.2059 181.899i −0.0633346 0.174010i 0.903989 0.427556i \(-0.140625\pi\)
−0.967323 + 0.253546i \(0.918403\pi\)
\(104\) 1281.73 333.989i 1.20850 0.314907i
\(105\) −712.636 + 188.988i −0.662345 + 0.175651i
\(106\) −872.488 + 975.885i −0.799467 + 0.894210i
\(107\) 583.699 0.527367 0.263684 0.964609i \(-0.415063\pi\)
0.263684 + 0.964609i \(0.415063\pi\)
\(108\) 871.771 + 706.913i 0.776724 + 0.629841i
\(109\) 1619.82 1.42340 0.711700 0.702484i \(-0.247926\pi\)
0.711700 + 0.702484i \(0.247926\pi\)
\(110\) −1805.31 + 2019.25i −1.56481 + 1.75026i
\(111\) 742.928 + 746.757i 0.635276 + 0.638550i
\(112\) 552.188 232.197i 0.465865 0.195898i
\(113\) 234.896 + 645.371i 0.195550 + 0.537269i 0.998251 0.0591123i \(-0.0188270\pi\)
−0.802702 + 0.596381i \(0.796605\pi\)
\(114\) 355.029 698.423i 0.291680 0.573801i
\(115\) −208.484 + 36.7614i −0.169054 + 0.0298089i
\(116\) 105.123 110.403i 0.0841416 0.0883681i
\(117\) −532.914 1487.93i −0.421093 1.17572i
\(118\) −157.504 62.9917i −0.122877 0.0491429i
\(119\) −511.611 186.211i −0.394112 0.143445i
\(120\) 905.750 1535.08i 0.689028 1.16778i
\(121\) 2037.36 + 1709.54i 1.53070 + 1.28441i
\(122\) −386.826 + 623.928i −0.287062 + 0.463015i
\(123\) 911.487 + 1308.89i 0.668179 + 0.959499i
\(124\) −100.730 + 1602.61i −0.0729503 + 1.16064i
\(125\) −265.097 153.054i −0.189688 0.109516i
\(126\) −334.545 631.655i −0.236537 0.446605i
\(127\) 106.459 61.4642i 0.0743836 0.0429454i −0.462347 0.886699i \(-0.652993\pi\)
0.536730 + 0.843754i \(0.319659\pi\)
\(128\) −556.235 + 1337.07i −0.384099 + 0.923292i
\(129\) −2266.20 1595.51i −1.54673 1.08897i
\(130\) −2211.93 + 1186.11i −1.49230 + 0.800222i
\(131\) 259.434 1471.32i 0.173029 0.981299i −0.767364 0.641211i \(-0.778432\pi\)
0.940394 0.340087i \(-0.110457\pi\)
\(132\) −2302.40 1262.81i −1.51817 0.832680i
\(133\) −382.224 + 320.724i −0.249195 + 0.209100i
\(134\) 697.693 100.561i 0.449787 0.0648293i
\(135\) −1920.55 913.664i −1.22441 0.582487i
\(136\) 1196.70 548.024i 0.754531 0.345534i
\(137\) −576.908 687.532i −0.359770 0.428758i 0.555551 0.831483i \(-0.312508\pi\)
−0.915321 + 0.402725i \(0.868063\pi\)
\(138\) −80.3740 188.850i −0.0495789 0.116493i
\(139\) −935.951 165.033i −0.571125 0.100705i −0.119375 0.992849i \(-0.538089\pi\)
−0.451750 + 0.892145i \(0.649200\pi\)
\(140\) −913.595 + 673.646i −0.551521 + 0.406668i
\(141\) −1190.82 107.269i −0.711244 0.0640684i
\(142\) −2866.49 + 942.552i −1.69402 + 0.557023i
\(143\) 1848.90 + 3202.39i 1.08121 + 1.87271i
\(144\) 1648.14 + 519.263i 0.953782 + 0.300499i
\(145\) −144.437 + 250.172i −0.0827229 + 0.143280i
\(146\) 264.465 1266.12i 0.149913 0.717702i
\(147\) −112.264 1322.32i −0.0629887 0.741925i
\(148\) 1486.17 + 649.183i 0.825421 + 0.360558i
\(149\) 1952.86 2327.33i 1.07372 1.27961i 0.115586 0.993297i \(-0.463125\pi\)
0.958136 0.286314i \(-0.0924301\pi\)
\(150\) −448.954 + 1473.47i −0.244380 + 0.802055i
\(151\) −825.091 + 2266.92i −0.444668 + 1.22172i 0.491721 + 0.870753i \(0.336368\pi\)
−0.936389 + 0.350963i \(0.885854\pi\)
\(152\) 113.408 1200.90i 0.0605173 0.640830i
\(153\) −778.279 1364.17i −0.411243 0.720826i
\(154\) 1034.23 + 1314.19i 0.541174 + 0.687666i
\(155\) −528.381 2996.60i −0.273810 1.55286i
\(156\) −1604.59 1829.29i −0.823526 0.938847i
\(157\) 658.007 239.495i 0.334488 0.121744i −0.169316 0.985562i \(-0.554156\pi\)
0.503804 + 0.863818i \(0.331933\pi\)
\(158\) 60.9904 1942.62i 0.0307097 0.978145i
\(159\) 2321.31 + 628.393i 1.15781 + 0.313426i
\(160\) 428.867 2710.42i 0.211906 1.33924i
\(161\) 130.708i 0.0639829i
\(162\) 442.324 2013.92i 0.214520 0.976720i
\(163\) 458.126i 0.220142i −0.993924 0.110071i \(-0.964892\pi\)
0.993924 0.110071i \(-0.0351079\pi\)
\(164\) 2045.44 + 1358.81i 0.973917 + 0.646983i
\(165\) 4803.14 + 1300.24i 2.26620 + 0.613476i
\(166\) 3302.87 + 103.696i 1.54429 + 0.0484844i
\(167\) −1839.74 + 669.612i −0.852477 + 0.310276i −0.731050 0.682324i \(-0.760969\pi\)
−0.121427 + 0.992600i \(0.538747\pi\)
\(168\) −836.282 715.314i −0.384051 0.328498i
\(169\) 213.501 + 1210.82i 0.0971784 + 0.551126i
\(170\) −1959.98 + 1542.45i −0.884257 + 0.695885i
\(171\) −1439.33 7.39973i −0.643672 0.00330919i
\(172\) −4147.45 1003.11i −1.83861 0.444687i
\(173\) −205.598 + 564.876i −0.0903546 + 0.248247i −0.976636 0.214900i \(-0.931058\pi\)
0.886282 + 0.463147i \(0.153280\pi\)
\(174\) −267.901 81.6273i −0.116722 0.0355641i
\(175\) 630.554 751.465i 0.272374 0.324602i
\(176\) −4011.13 506.228i −1.71790 0.216809i
\(177\) 26.3629 + 310.520i 0.0111952 + 0.131865i
\(178\) 365.102 + 76.2623i 0.153739 + 0.0321129i
\(179\) −2322.51 + 4022.71i −0.969792 + 1.67973i −0.273643 + 0.961831i \(0.588229\pi\)
−0.696149 + 0.717897i \(0.745105\pi\)
\(180\) −3266.88 222.203i −1.35277 0.0920112i
\(181\) −214.860 372.149i −0.0882345 0.152827i 0.818530 0.574463i \(-0.194789\pi\)
−0.906765 + 0.421637i \(0.861456\pi\)
\(182\) 484.054 + 1472.11i 0.197145 + 0.599560i
\(183\) 1343.21 + 120.996i 0.542585 + 0.0488758i
\(184\) −221.895 224.974i −0.0889037 0.0901374i
\(185\) −3026.44 533.644i −1.20275 0.212077i
\(186\) 2714.39 1155.24i 1.07005 0.455409i
\(187\) 2361.99 + 2814.90i 0.923666 + 1.10078i
\(188\) −1765.89 + 519.846i −0.685056 + 0.201668i
\(189\) −761.454 + 1069.81i −0.293056 + 0.411733i
\(190\) 326.082 + 2262.37i 0.124508 + 0.863839i
\(191\) 2871.87 2409.79i 1.08796 0.912911i 0.0914072 0.995814i \(-0.470864\pi\)
0.996558 + 0.0829027i \(0.0264191\pi\)
\(192\) 2653.74 188.508i 0.997487 0.0708561i
\(193\) −104.384 + 591.990i −0.0389311 + 0.220789i −0.998066 0.0621590i \(-0.980201\pi\)
0.959135 + 0.282948i \(0.0913125\pi\)
\(194\) −1447.55 2699.47i −0.535712 0.999026i
\(195\) 3770.25 + 2654.43i 1.38458 + 0.974807i
\(196\) −908.575 1830.03i −0.331113 0.666921i
\(197\) −3634.87 + 2098.59i −1.31459 + 0.758977i −0.982852 0.184395i \(-0.940967\pi\)
−0.331735 + 0.943373i \(0.607634\pi\)
\(198\) −176.173 + 4821.00i −0.0632327 + 1.73037i
\(199\) 1837.33 + 1060.79i 0.654498 + 0.377875i 0.790177 0.612878i \(-0.209988\pi\)
−0.135679 + 0.990753i \(0.543322\pi\)
\(200\) 190.409 + 2363.86i 0.0673197 + 0.835752i
\(201\) −740.046 1062.70i −0.259696 0.372920i
\(202\) 2998.16 + 1858.81i 1.04430 + 0.647452i
\(203\) 136.629 + 114.645i 0.0472388 + 0.0396380i
\(204\) −1885.96 1513.30i −0.647271 0.519375i
\(205\) −4372.64 1591.51i −1.48975 0.542224i
\(206\) −203.311 + 508.359i −0.0687639 + 0.171937i
\(207\) −243.847 + 287.590i −0.0818771 + 0.0965648i
\(208\) −3332.25 1712.03i −1.11082 0.570712i
\(209\) 3316.43 584.775i 1.09762 0.193540i
\(210\) 1858.93 + 944.946i 0.610849 + 0.310512i
\(211\) −1727.44 4746.10i −0.563610 1.54851i −0.814303 0.580439i \(-0.802881\pi\)
0.250693 0.968067i \(1.58066\pi\)
\(212\) 3679.43 412.940i 1.19200 0.133778i
\(213\) 3909.73 + 3929.89i 1.25770 + 1.26419i
\(214\) −1230.78 1100.37i −0.393150 0.351495i
\(215\) 8085.71 2.56484
\(216\) −505.546 3134.03i −0.159250 0.987238i
\(217\) −1878.70 −0.587717
\(218\) −3415.52 3053.64i −1.06114 0.948709i
\(219\) −2296.81 + 609.105i −0.708694 + 0.187943i
\(220\) 7613.28 854.435i 2.33312 0.261845i
\(221\) 1164.58 + 3199.65i 0.354471 + 0.973901i
\(222\) −158.757 2975.15i −0.0479957 0.899454i
\(223\) −1109.23 + 195.586i −0.333091 + 0.0587329i −0.337692 0.941257i \(-0.609646\pi\)
0.00460170 + 0.999989i \(0.498535\pi\)
\(224\) −1602.07 551.363i −0.477868 0.164462i
\(225\) 2789.30 477.056i 0.826459 0.141350i
\(226\) 721.339 1803.64i 0.212313 0.530868i
\(227\) −2880.72 1048.50i −0.842292 0.306569i −0.115398 0.993319i \(-0.536814\pi\)
−0.726894 + 0.686750i \(0.759037\pi\)
\(228\) −2065.26 + 803.392i −0.599890 + 0.233359i
\(229\) −2205.73 1850.83i −0.636502 0.534088i 0.266440 0.963852i \(-0.414153\pi\)
−0.902942 + 0.429763i \(0.858597\pi\)
\(230\) 508.908 + 315.515i 0.145897 + 0.0904540i
\(231\) 1305.56 2781.10i 0.371859 0.792133i
\(232\) −429.790 + 34.6195i −0.121625 + 0.00979691i
\(233\) 3129.05 + 1806.56i 0.879791 + 0.507947i 0.870589 0.492010i \(-0.163738\pi\)
0.00920121 + 0.999958i \(0.497071\pi\)
\(234\) −1681.31 + 4142.05i −0.469703 + 1.15715i
\(235\) 3020.87 1744.10i 0.838554 0.484139i
\(236\) 213.361 + 429.747i 0.0588500 + 0.118534i
\(237\) −3239.92 + 1500.67i −0.887998 + 0.411304i
\(238\) 727.734 + 1357.12i 0.198202 + 0.369617i
\(239\) −461.133 + 2615.21i −0.124804 + 0.707799i 0.856620 + 0.515948i \(0.172560\pi\)
−0.981424 + 0.191851i \(0.938551\pi\)
\(240\) −4803.74 + 1529.35i −1.29200 + 0.411329i
\(241\) 4453.69 3737.09i 1.19040 0.998867i 0.190552 0.981677i \(-0.438972\pi\)
0.999852 0.0171902i \(-0.00547209\pi\)
\(242\) −1073.14 7445.49i −0.285059 1.97774i
\(243\) −3671.22 + 933.299i −0.969172 + 0.246383i
\(244\) 1991.87 586.370i 0.522608 0.153846i
\(245\) 2488.65 + 2965.85i 0.648954 + 0.773393i
\(246\) 545.535 4478.21i 0.141390 1.16065i
\(247\) 3073.11 + 541.872i 0.791649 + 0.139589i
\(248\) 3233.61 3189.35i 0.827960 0.816629i
\(249\) −2551.46 5508.55i −0.649366 1.40197i
\(250\) 270.446 + 822.481i 0.0684179 + 0.208073i
\(251\) −995.020 1723.43i −0.250220 0.433393i 0.713367 0.700791i \(-0.247169\pi\)
−0.963586 + 0.267398i \(0.913836\pi\)
\(252\) −485.363 + 1962.57i −0.121329 + 0.490597i
\(253\) 441.091 763.991i 0.109609 0.189849i
\(254\) −340.348 71.0917i −0.0840762 0.0175618i
\(255\) 4147.72 + 1947.11i 1.01859 + 0.478167i
\(256\) 3693.48 1770.72i 0.901728 0.432305i
\(257\) −1012.27 + 1206.37i −0.245694 + 0.292807i −0.874771 0.484536i \(-0.838988\pi\)
0.629077 + 0.777343i \(0.283433\pi\)
\(258\) 1770.66 + 7636.45i 0.427273 + 1.84273i
\(259\) −648.953 + 1782.98i −0.155691 + 0.427758i
\(260\) 6900.06 + 1668.86i 1.64586 + 0.398069i
\(261\) 86.7368 + 507.141i 0.0205704 + 0.120273i
\(262\) −3320.74 + 2613.33i −0.783038 + 0.616229i
\(263\) −598.071 3391.83i −0.140223 0.795245i −0.971079 0.238757i \(-0.923260\pi\)
0.830856 0.556487i \(1.81215\pi\)
\(264\) 2474.17 + 7003.16i 0.576797 + 1.63263i
\(265\) −6592.89 + 2399.62i −1.52829 + 0.556254i
\(266\) 1410.57 + 44.2861i 0.325141 + 0.0102081i
\(267\) −175.644 662.318i −0.0402593 0.151810i
\(268\) −1660.72 1103.23i −0.378524 0.251458i
\(269\) 3253.42i 0.737415i −0.929546 0.368707i \(-0.879800\pi\)
0.929546 0.368707i \(-0.120200\pi\)
\(270\) 2327.22 + 5547.11i 0.524557 + 1.25032i
\(271\) 3801.58i 0.852140i −0.904690 0.426070i \(-0.859898\pi\)
0.904690 0.426070i \(-0.140102\pi\)
\(272\) −3556.46 1100.44i −0.792802 0.245308i
\(273\) 2018.22 2007.87i 0.447429 0.445135i
\(274\) −79.6604 + 2537.29i −0.0175637 + 0.559428i
\(275\) −6221.51 + 2264.44i −1.36426 + 0.496550i
\(276\) −186.540 + 549.725i −0.0406826 + 0.119890i
\(277\) 391.994 + 2223.11i 0.0850275 + 0.482215i 0.997351 + 0.0727439i \(0.0231756\pi\)
−0.912323 + 0.409471i \(0.865713\pi\)
\(278\) 1662.41 + 2112.42i 0.358651 + 0.455735i
\(279\) −4133.61 3504.88i −0.887000 0.752086i
\(280\) 3196.33 + 301.848i 0.682205 + 0.0644246i
\(281\) −300.745 + 826.291i −0.0638469 + 0.175418i −0.967514 0.252818i \(-0.918643\pi\)
0.903667 + 0.428236i \(0.140865\pi\)
\(282\) 2308.73 + 2471.09i 0.487527 + 0.521814i
\(283\) −3721.04 + 4434.56i −0.781599 + 0.931474i −0.999005 0.0446077i \(-0.985796\pi\)
0.217405 + 0.976081i \(0.430241\pi\)
\(284\) 7821.11 + 3416.39i 1.63415 + 0.713823i
\(285\) 3445.95 2399.70i 0.716212 0.498758i
\(286\) 2138.51 10238.0i 0.442141 2.11673i
\(287\) −1436.51 + 2488.11i −0.295451 + 0.511737i
\(288\) −2496.33 4201.93i −0.510755 0.859726i
\(289\) −764.682 1324.47i −0.155645 0.269585i
\(290\) 776.175 255.219i 0.157167 0.0516793i
\(291\) −3239.51 + 4601.28i −0.652589 + 0.926913i
\(292\) −2944.50 + 2171.15i −0.590115 + 0.435126i
\(293\) 2307.70 + 406.910i 0.460127 + 0.0811328i 0.398907 0.916991i \(-0.369390\pi\)
0.0612203 + 0.998124i \(0.480501\pi\)
\(294\) −2256.08 + 2999.85i −0.447542 + 0.595085i
\(295\) −584.409 696.471i −0.115341 0.137458i
\(296\) −1909.88 4170.54i −0.375033 0.818945i
\(297\) 8060.93 3683.47i 1.57489 0.719651i
\(298\) −8505.18 + 1225.88i −1.65333 + 0.238300i
\(299\) 626.209 525.452i 0.121119 0.101631i
\(300\) 3724.40 2260.57i 0.716762 0.435048i
\(301\) 866.900 4916.43i 0.166004 0.941457i
\(302\) 6013.31 3224.54i 1.14578 0.614409i
\(303\) 581.420 6454.52i 0.110237 1.22377i
\(304\) −2503.04 + 2318.41i −0.472235 + 0.437401i
\(305\) −3407.45 + 1967.29i −0.639706 + 0.369334i
\(306\) −930.629 + 4343.65i −0.173858 + 0.811470i
\(307\) −4021.66 2321.91i −0.747649 0.431656i 0.0771946 0.997016i \(-0.475404\pi\)
−0.824844 + 0.565361i \(0.808737\pi\)
\(308\) 296.719 4720.79i 0.0548933 0.873350i
\(309\) 1002.23 85.0884i 0.184514 0.0156651i
\(310\) −4534.98 + 7314.67i −0.830869 + 1.34015i
\(311\) −6326.75 5308.77i −1.15356 0.967951i −0.153763 0.988108i \(-0.549139\pi\)
−0.999797 + 0.0201566i \(0.993584\pi\)
\(312\) −65.1120 + 6882.13i −0.0118149 + 1.24879i
\(313\) −8933.85 3251.65i −1.61333 0.587202i −0.631232 0.775594i \(-0.717450\pi\)
−0.982094 + 0.188392i \(0.939672\pi\)
\(314\) −1838.95 735.463i −0.330503 0.132180i
\(315\) 19.6952 3830.92i 0.00352285 0.685231i
\(316\) −3790.79 + 3981.21i −0.674837 + 0.708735i
\(317\) 1415.18 249.535i 0.250740 0.0442122i −0.0468655 0.998901i \(-0.514923\pi\)
0.297605 + 0.954689i \(0.403812\pi\)
\(318\) −3710.04 5701.09i −0.654241 1.00535i
\(319\) −411.714 1131.17i −0.0722619 0.198538i
\(320\) −6013.92 + 4906.66i −1.05059 + 0.857159i
\(321\) −792.523 + 2927.61i −0.137802 + 0.509045i
\(322\) 246.408 275.609i 0.0426452 0.0476990i
\(323\) 3100.94 0.534182
\(324\) −4729.27 + 3412.66i −0.810917 + 0.585161i
\(325\) −6135.04 −1.04711
\(326\) −863.648 + 965.997i −0.146727 + 0.164115i
\(327\) −2199.33 + 8124.40i −0.371936 + 1.37395i
\(328\) −1751.39 6721.18i −0.294830 1.13145i
\(329\) −736.605 2023.80i −0.123436 0.339137i
\(330\) −7676.63 11796.4i −1.28056 1.96779i
\(331\) −976.067 + 172.107i −0.162083 + 0.0285796i −0.254101 0.967178i \(-0.581779\pi\)
0.0920177 + 0.995757i \(0.470668\pi\)
\(332\) −6768.89 6445.14i −1.11895 1.06543i
\(333\) −4754.17 + 2712.33i −0.782363 + 0.446351i
\(334\) 5141.59 + 2056.31i 0.842321 + 0.336875i
\(335\) 3550.19 + 1292.16i 0.579008 + 0.210742i
\(336\) 414.876 + 3084.84i 0.0673611 + 0.500868i
\(337\) 2064.80 + 1732.58i 0.333760 + 0.280058i 0.794230 0.607618i \(-0.207875\pi\)
−0.460470 + 0.887675i \(0.652319\pi\)
\(338\) 1832.43 2955.61i 0.294885 0.475633i
\(339\) −3555.87 + 301.890i −0.569700 + 0.0483670i
\(340\) 7040.57 + 442.526i 1.12302 + 0.0705862i
\(341\) 10981.1 + 6339.91i 1.74386 + 1.00682i
\(342\) 3020.99 + 2728.98i 0.477650 + 0.431481i
\(343\) 4850.45 2800.41i 0.763555 0.440839i
\(344\) 6854.21 + 9933.81i 1.07429 + 1.55696i
\(345\) 98.6903 1095.59i 0.0154009 0.170970i
\(346\) 1498.41 803.499i 0.232818 0.124845i
\(347\) −968.098 + 5490.36i −0.149770 + 0.849389i 0.813642 + 0.581366i \(0.197481\pi\)
−0.963413 + 0.268023i \(0.913630\pi\)
\(348\) 411.010 + 677.159i 0.0633117 + 0.104309i
\(349\) −3668.78 + 3078.47i −0.562709 + 0.472169i −0.879217 0.476421i \(-0.841934\pi\)
0.316508 + 0.948590i \(0.397489\pi\)
\(350\) −2746.22 + 395.821i −0.419404 + 0.0604501i
\(351\) 8186.45 652.649i 1.24490 0.0992474i
\(352\) 7503.46 + 8629.10i 1.13618 + 1.30663i
\(353\) −396.883 472.987i −0.0598412 0.0713160i 0.735293 0.677749i \(-0.237044\pi\)
−0.795135 + 0.606433i \(0.792600\pi\)
\(354\) 529.796 704.455i 0.0795434 0.105767i
\(355\) −15927.0 2808.35i −2.38117 0.419865i
\(356\) −626.080 849.087i −0.0932084 0.126409i
\(357\) 1628.61 2313.22i 0.241443 0.342937i
\(358\) 12480.7 4103.87i 1.84253 0.605856i
\(359\) 1335.22 + 2312.67i 0.196296 + 0.339994i 0.947324 0.320275i \(-0.103775\pi\)
−0.751029 + 0.660269i \(0.770442\pi\)
\(360\) 6469.60 + 6627.18i 0.947160 + 0.970230i
\(361\) −2008.57 + 3478.95i −0.292838 + 0.507209i
\(362\) −248.515 + 1189.76i −0.0360819 + 0.172741i
\(363\) −11340.7 + 7897.46i −1.63976 + 1.14190i
\(364\) 1754.51 4016.59i 0.252641 0.578369i
\(365\) 4456.06 5310.53i 0.639016 0.761550i
\(366\) −2604.17 2787.32i −0.371919 0.398075i
\(367\) 269.268 739.808i 0.0382988 0.105225i −0.919069 0.394096i \(-0.871058\pi\)
0.957368 + 0.288871i \(0.0932799\pi\)
\(368\) 43.7683 + 892.685i 0.00619995 + 0.126452i
\(369\) −7802.47 + 2794.52i −1.10076 + 0.394247i
\(370\) 5375.49 + 6830.60i 0.755293 + 0.959746i
\(371\) 752.213 + 4266.01i 0.105264 + 0.596982i
\(372\) −7901.34 2681.19i −1.10125 0.373692i
\(373\) −1529.41 + 556.660i −0.212305 + 0.0772728i −0.445984 0.895041i \(-0.647146\pi\)
0.233678 + 0.972314i \(0.424924\pi\)
\(374\) 326.147 10388.2i 0.0450927 1.43626i
\(375\) 1127.60 1121.82i 0.155277 0.154481i
\(376\) 4703.52 + 2232.87i 0.645121 + 0.306254i
\(377\) 1115.45i 0.152384i
\(378\) 3622.37 820.318i 0.492896 0.111621i
\(379\) 4570.49i 0.619447i −0.950827 0.309724i \(-0.899763\pi\)
0.950827 0.309724i \(-0.100237\pi\)
\(380\) 3577.39 5385.11i 0.482937 0.726974i
\(381\) 163.735 + 617.412i 0.0220168 + 0.0830210i
\(382\) −10598.4 332.747i −1.41954 0.0445676i
\(383\) −7161.59 + 2606.61i −0.955457 + 0.347758i −0.772252 0.635317i \(-0.780870\pi\)
−0.183205 + 0.983075i \(0.558647\pi\)
\(384\) −5951.00 4605.29i −0.790849 0.612012i
\(385\) 1556.44 + 8827.02i 0.206035 + 1.16848i
\(386\) 1336.11 1051.48i 0.176181 0.138650i
\(387\) 11079.4 9200.10i 1.45530 1.20844i
\(388\) −2036.70 + 8420.95i −0.266489 + 1.10183i
\(389\) −1460.10 + 4011.58i −0.190308 + 0.522867i −0.997747 0.0670836i \(-0.978631\pi\)
0.807439 + 0.589951i \(0.200853\pi\)
\(390\) −2945.82 12704.7i −0.382481 1.64955i
\(391\) 522.154 622.279i 0.0675358 0.0804860i
\(392\) −1534.13 + 5571.59i −0.197666 + 0.717878i
\(393\) 7027.36 + 3298.93i 0.901993 + 0.423432i
\(394\) 11620.6 + 2427.31i 1.48589 + 0.310371i
\(395\) 5208.47 9021.33i 0.663459 1.14915i
\(396\) 9459.90 9833.35i 1.20045 1.24784i
\(397\) 396.638 + 686.998i 0.0501428 + 0.0868499i 0.890007 0.455946i \(-0.150699\pi\)
−0.839865 + 0.542796i \(0.817366\pi\)
\(398\) −1874.40 5700.45i −0.236069 0.717934i
\(399\) −1089.66 2352.56i −0.136720 0.295176i
\(400\) 4054.80 5343.36i 0.506851 0.667919i
\(401\) 3089.21 + 544.711i 0.384708 + 0.0678344i 0.362658 0.931922i \(-0.381869\pi\)
0.0220504 + 0.999757i \(0.492981\pi\)
\(402\) −442.925 + 3635.90i −0.0549530 + 0.451100i
\(403\) 7552.46 + 9000.67i 0.933535 + 1.11254i
\(404\) −2817.68 9571.50i −0.346992 1.17871i
\(405\) 7190.24 8392.23i 0.882188 1.02966i
\(406\) −71.9669 499.308i −0.00879718 0.0610351i
\(407\) 9810.04 8231.60i 1.19476 1.00252i
\(408\) 1123.85 + 6746.28i 0.136370 + 0.818605i
\(409\) 1647.08 9341.04i 0.199127 1.12930i −0.707292 0.706922i \(-0.750083\pi\)
0.906418 0.422381i \(-0.138806\pi\)
\(410\) 6219.80 + 11599.0i 0.749205 + 1.39716i
\(411\) 4231.70 1960.05i 0.507870 0.235236i
\(412\) 1387.04 688.640i 0.165861 0.0823467i
\(413\) −486.139 + 280.673i −0.0579209 + 0.0334407i
\(414\) 1056.33 146.713i 0.125400 0.0174168i
\(415\) 15338.2 + 8855.49i 1.81427 + 1.04747i
\(416\) 3798.84 + 9891.84i 0.447725 + 1.16583i
\(417\) 2098.54 4470.30i 0.246441 0.524968i
\(418\) −8095.36 5019.00i −0.947266 0.587290i
\(419\) 5196.25 + 4360.17i 0.605856 + 0.508373i 0.893322 0.449417i \(-0.148368\pi\)
−0.287466 + 0.957791i \(0.592813\pi\)
\(420\) −2138.31 5496.90i −0.248426 0.638622i
\(421\) −418.761 152.417i −0.0484779 0.0176445i 0.317667 0.948202i \(-0.397100\pi\)
−0.366145 + 0.930558i \(0.619323\pi\)
\(422\) −5304.78 + 13264.1i −0.611925 + 1.53006i
\(423\) 2154.87 5827.07i 0.247691 0.669792i
\(424\) −8536.83 6065.64i −0.977795 0.694749i
\(425\) −6003.92 + 1058.65i −0.685254 + 0.120829i
\(426\) −835.473 15657.0i −0.0950207 1.78072i
\(427\) 830.868 + 2282.79i 0.0941651 + 0.258717i
\(428\) 520.796 + 4640.46i 0.0588169 + 0.524077i
\(429\) −18572.3 + 4925.31i −2.09017 + 0.554304i
\(430\) −17049.4 15243.0i −1.91208 1.70949i
\(431\) −8404.19 −0.939247 −0.469624 0.882867i \(-0.655610\pi\)
−0.469624 + 0.882867i \(0.655610\pi\)
\(432\) −4842.20 + 7561.39i −0.539284 + 0.842124i
\(433\) 10685.9 1.18599 0.592993 0.805208i \(-0.297946\pi\)
0.592993 + 0.805208i \(0.297946\pi\)
\(434\) 3961.40 + 3541.68i 0.438141 + 0.391719i
\(435\) −1058.66 1064.11i −0.116687 0.117288i
\(436\) 1445.26 + 12877.7i 0.158751 + 1.41452i
\(437\) −254.620 699.562i −0.0278721 0.0765781i
\(438\) 5991.28 + 3045.54i 0.653595 + 0.332241i
\(439\) 2048.91 361.277i 0.222754 0.0392775i −0.0611572 0.998128i \(-0.519479\pi\)
0.283911 + 0.958851i \(0.408368\pi\)
\(440\) −17664.0 12550.7i −1.91386 1.35985i
\(441\) 6784.68 + 1232.32i 0.732607 + 0.133066i
\(442\) 3576.30 8942.17i 0.384858 0.962298i
\(443\) −490.463 178.514i −0.0526018 0.0191455i 0.315585 0.948897i \(-0.397799\pi\)
−0.368187 + 0.929752i \(0.620021\pi\)
\(444\) −5273.92 + 6572.62i −0.563714 + 0.702529i
\(445\) 1531.37 + 1284.97i 0.163132 + 0.136884i
\(446\) 2707.61 + 1678.67i 0.287464 + 0.178223i
\(447\) 9021.49 + 12954.8i 0.954590 + 1.37078i
\(448\) 2338.67 + 4182.77i 0.246634 + 0.441110i
\(449\) −7005.08 4044.38i −0.736281 0.425092i 0.0844347 0.996429i \(-0.473092\pi\)
−0.820715 + 0.571337i \(0.806425\pi\)
\(450\) −6780.80 4252.40i −0.710333 0.445467i
\(451\) 16792.9 9695.36i 1.75331 1.01228i
\(452\) −4921.17 + 2443.26i −0.512107 + 0.254251i
\(453\) −10249.7 7216.28i −1.06308 0.748455i
\(454\) 4097.64 + 7641.51i 0.423594 + 0.789942i
\(455\) −1442.25 + 8179.40i −0.148602 + 0.842761i
\(456\) 5869.30 + 2199.35i 0.602752 + 0.225864i
\(457\) 10880.4 9129.76i 1.11371 0.934513i 0.115439 0.993315i \(-0.463172\pi\)
0.998270 + 0.0588017i \(0.0187280\pi\)
\(458\) 1161.83 + 8060.81i 0.118534 + 0.822395i
\(459\) 7898.87 2051.34i 0.803241 0.208602i
\(460\) −478.273 1624.67i −0.0484774 0.164675i
\(461\) −5523.90 6583.13i −0.558078 0.665091i 0.411061 0.911608i \(-0.365158\pi\)
−0.969139 + 0.246517i \(0.920714\pi\)
\(462\) −7995.73 + 3402.96i −0.805184 + 0.342684i
\(463\) −7384.89 1302.16i −0.741264 0.130705i −0.209751 0.977755i \(-0.567265\pi\)
−0.531513 + 0.847050i \(0.678376\pi\)
\(464\) 971.512 + 737.231i 0.0972011 + 0.0737610i
\(465\) 15747.2 + 1418.50i 1.57045 + 0.141466i
\(466\) −3192.19 9708.10i −0.317329 0.965062i
\(467\) −1979.88 3429.26i −0.196184 0.339801i 0.751104 0.660184i \(-0.229522\pi\)
−0.947288 + 0.320383i \(0.896188\pi\)
\(468\) 11353.7 5564.29i 1.12142 0.549593i
\(469\) 1166.32 2020.12i 0.114831 0.198892i
\(470\) −9657.70 2017.29i −0.947822 0.197980i
\(471\) 307.801 + 3625.49i 0.0301119 + 0.354679i
\(472\) 360.259 1308.38i 0.0351319 0.127591i
\(473\) −21658.2 + 25811.2i −2.10538 + 2.50909i
\(474\) 9660.67 + 2943.52i 0.936137 + 0.285233i
\(475\) −1910.93 + 5250.23i −0.184588 + 0.507152i
\(476\) 1023.92 4233.50i 0.0985951 0.407652i
\(477\) −6303.56 + 10789.6i −0.605074 + 1.03569i
\(478\) 5902.47 4645.07i 0.564796 0.444479i
\(479\) −1901.74 10785.3i −0.181404 1.02880i −0.930489 0.366321i \(-0.880617\pi\)
0.749084 0.662475i \(1.76951\pi\)
\(480\) 13012.2 + 5831.14i 1.23734 + 0.554488i
\(481\) 11150.9 4058.60i 1.05704 0.384732i
\(482\) −16436.0 516.023i −1.55320 0.0487639i
\(483\) −655.583 177.470i −0.0617599 0.0167188i
\(484\) −11773.2 + 17722.5i −1.10568 + 1.66439i
\(485\) 16417.2i 1.53704i
\(486\) 9500.50 + 4952.95i 0.886731 + 0.462285i
\(487\) 13593.2i 1.26482i 0.774633 + 0.632410i \(0.217934\pi\)
−0.774633 + 0.632410i \(0.782066\pi\)
\(488\) −5305.43 2518.61i −0.492142 0.233631i
\(489\) 2297.79 + 622.026i 0.212494 + 0.0575235i
\(490\) 343.636 10945.3i 0.0316814 1.00910i
\(491\) 16201.9 5897.01i 1.48917 0.542012i 0.535937 0.844258i \(-0.319958\pi\)
0.953230 + 0.302246i \(0.0977362\pi\)
\(492\) −9592.51 + 8414.24i −0.878991 + 0.771023i
\(493\) −192.481 1091.61i −0.0175840 0.0997238i
\(494\) −5458.38 6935.93i −0.497134 0.631705i
\(495\) −13043.0 + 22325.3i −1.18432 + 2.02717i
\(496\) −12830.8 + 629.093i −1.16153 + 0.0569499i
\(497\) −3415.18 + 9383.14i −0.308233 + 0.846864i
\(498\) −5004.61 + 16425.2i −0.450325 + 1.47797i
\(499\) −9571.89 + 11407.3i −0.858711 + 1.02337i 0.140733 + 0.990048i \(0.455054\pi\)
−0.999445 + 0.0333245i \(0.989391\pi\)
\(500\) 980.263 2244.10i 0.0876774 0.200719i
\(501\) −860.591 10136.6i −0.0767433 0.903936i
\(502\) −1150.88 + 5509.77i −0.102323 + 0.489867i
\(503\) −2523.88 + 4371.49i −0.223726 + 0.387505i −0.955936 0.293574i \(-0.905155\pi\)
0.732210 + 0.681078i \(0.238489\pi\)
\(504\) 4723.22 3223.25i 0.417438 0.284871i
\(505\) 9453.42 + 16373.8i 0.833013 + 1.44282i
\(506\) −2370.33 + 779.405i −0.208249 + 0.0684759i
\(507\) −6362.92 573.168i −0.557371 0.0502077i
\(508\) 583.632 + 791.519i 0.0509734 + 0.0691298i
\(509\) −3003.06 529.520i −0.261509 0.0461112i 0.0413561 0.999144i \(-0.486832\pi\)
−0.302865 + 0.953033i \(0.597943\pi\)
\(510\) −5075.16 11924.8i −0.440651 1.03537i
\(511\) −2751.26 3278.83i −0.238177 0.283849i
\(512\) −11126.1 3229.14i −0.960370 0.278729i
\(513\) 1991.37 7209.07i 0.171387 0.620445i
\(514\) 4408.66 635.435i 0.378322 0.0545288i
\(515\) −2247.92 + 1886.23i −0.192340 + 0.161393i
\(516\) 10662.5 19440.1i 0.909668 1.65853i
\(517\) −2524.11 + 14314.9i −0.214720 + 1.21774i
\(518\) 4729.61 2536.18i 0.401172 0.215122i
\(519\) −2554.05 1798.17i −0.216013 0.152083i
\(520\) −11403.3 16526.7i −0.961665 1.39374i
\(521\) −17344.6 + 10013.9i −1.45850 + 0.842066i −0.998938 0.0460794i \(-0.985327\pi\)
−0.459563 + 0.888145i \(0.651994\pi\)
\(522\) 773.158 1232.86i 0.0648280 0.103373i
\(523\) −15266.3 8813.97i −1.27638 0.736918i −0.300199 0.953877i \(-0.597053\pi\)
−0.976181 + 0.216959i \(0.930386\pi\)
\(524\) 11928.6 + 749.758i 0.994474 + 0.0625064i
\(525\) 2912.92 + 4182.93i 0.242153 + 0.347730i
\(526\) −5133.11 + 8279.42i −0.425503 + 0.686312i
\(527\) 8944.19 + 7505.07i 0.739307 + 0.620353i
\(528\) 7985.20 19431.0i 0.658165 1.60156i
\(529\) 11250.0 + 4094.66i 0.924631 + 0.336538i
\(530\) 18425.3 + 7368.96i 1.51009 + 0.603938i
\(531\) −1593.25 289.386i −0.130209 0.0236502i
\(532\) −2890.82 2752.55i −0.235588 0.224320i
\(533\) 17695.1 3120.12i 1.43801 0.253560i
\(534\) −878.224 + 1727.67i −0.0711695 + 0.140007i
\(535\) −3026.37 8314.89i −0.244564 0.671933i
\(536\) 1421.97 + 5457.00i 0.114589 + 0.439751i
\(537\) −17023.0 17110.7i −1.36796 1.37501i
\(538\) −6133.27 + 6860.10i −0.491494 + 0.549740i
\(539\) −16133.6 −1.28928
\(540\) 5550.13 16083.8i 0.442295 1.28173i
\(541\) 2484.05 0.197408 0.0987039 0.995117i \(-0.468530\pi\)
0.0987039 + 0.995117i \(0.468530\pi\)
\(542\) −7166.65 + 8015.95i −0.567959 + 0.635267i
\(543\) 2158.29 572.369i 0.170573 0.0452352i
\(544\) 5424.58 + 9024.91i 0.427531 + 0.711286i
\(545\) −8398.47 23074.6i −0.660093 1.81359i
\(546\) −8040.77 + 429.063i −0.630244 + 0.0336304i
\(547\) 16666.3 2938.71i 1.30274 0.229708i 0.521131 0.853477i \(-0.325510\pi\)
0.781609 + 0.623769i \(0.214399\pi\)
\(548\) 4951.20 5199.91i 0.385958 0.405345i
\(549\) −2430.63 + 6572.76i −0.188956 + 0.510963i
\(550\) 17387.4 + 6953.87i 1.34800 + 0.539116i
\(551\) −954.581 347.439i −0.0738049 0.0268628i
\(552\) 1429.66 807.479i 0.110236 0.0622620i
\(553\) −4926.91 4134.17i −0.378867 0.317907i
\(554\) 3364.39 5426.58i 0.258013 0.416161i
\(555\) 6785.74 14454.9i 0.518988 1.10555i
\(556\) 476.943 7588.14i 0.0363793 0.578793i
\(557\) 11651.7 + 6727.11i 0.886353 + 0.511736i 0.872748 0.488171i \(-0.162336\pi\)
0.0136051 + 0.999907i \(0.495669\pi\)
\(558\) 2108.74 + 15182.9i 0.159982 + 1.15187i
\(559\) −27039.1 + 15611.0i −2.04585 + 1.18117i
\(560\) −6170.69 6662.11i −0.465641 0.502724i
\(561\) −17325.5 + 8024.87i −1.30389 + 0.603940i
\(562\) 2191.85 1175.35i 0.164515 0.0882187i
\(563\) −57.4211 + 325.651i −0.00429842 + 0.0243776i −0.986882 0.161446i \(-0.948384\pi\)
0.982583 + 0.185824i \(0.0594953\pi\)
\(564\) −209.697 9562.86i −0.0156558 0.713952i
\(565\) 7975.53 6692.26i 0.593864 0.498311i
\(566\) 16206.0 2335.83i 1.20352 0.173467i
\(567\) −4331.91 5271.72i −0.320852 0.390461i
\(568\) −10051.0 21947.9i −0.742480 1.62133i
\(569\) 4492.95 + 5354.48i 0.331027 + 0.394502i 0.905727 0.423862i \(-0.139326\pi\)
−0.574700 + 0.818364i \(0.694881\pi\)
\(570\) −11789.9 1436.25i −0.866361 0.105540i
\(571\) 9805.65 + 1729.00i 0.718658 + 0.126719i 0.521005 0.853553i \(-0.325557\pi\)
0.197652 + 0.980272i \(0.436668\pi\)
\(572\) −23809.6 + 17556.2i −1.74044 + 1.28332i
\(573\) 8187.27 + 17676.1i 0.596907 + 1.28871i
\(574\) 7719.52 2538.31i 0.561335 0.184577i
\(575\) 731.816 + 1267.54i 0.0530762 + 0.0919307i
\(576\) −2657.66 + 13566.1i −0.192250 + 0.981346i
\(577\) 1949.65 3376.90i 0.140667 0.243643i −0.787081 0.616850i \(-0.788409\pi\)
0.927748 + 0.373207i \(0.121742\pi\)
\(578\) −884.459 + 4234.31i −0.0636482 + 0.304713i
\(579\) −2827.47 1327.33i −0.202946 0.0952711i
\(580\) −2117.76 925.074i −0.151612 0.0662269i
\(581\) 7028.95 8376.78i 0.501911 0.598154i
\(582\) 15505.0 3595.13i 1.10430 0.256053i
\(583\) 9999.49 27473.4i 0.710354 1.95168i
\(584\) 10301.7 + 972.850i 0.729944 + 0.0689329i
\(585\) −18432.7 + 15306.1i −1.30273 + 1.08176i
\(586\) −4098.88 5208.42i −0.288947 0.367164i
\(587\) −1555.36 8820.90i −0.109364 0.620234i −0.989387 0.145303i \(-0.953584\pi\)
0.880023 0.474931i \(1.84247\pi\)
\(588\) 10412.4 2072.32i 0.730271 0.145342i
\(589\) 10055.0 3659.72i 0.703411 0.256021i
\(590\) −80.6962 + 2570.28i −0.00563086 + 0.179350i
\(591\) −5590.47 21080.5i −0.389105 1.46724i
\(592\) −3835.06 + 12394.4i −0.266250 + 0.860484i
\(593\) 24542.7i 1.69957i −0.527127 0.849787i \(-0.676731\pi\)
0.527127 0.849787i \(-0.323269\pi\)
\(594\) −23941.1 7429.38i −1.65373 0.513184i
\(595\) 8253.47i 0.568671i
\(596\) 20244.9 + 13448.9i 1.39138 + 0.924309i
\(597\) −7815.16 + 7775.08i −0.535767 + 0.533020i
\(598\) −2310.98 72.5552i −0.158032 0.00496155i
\(599\) −7589.25 + 2762.26i −0.517677 + 0.188419i −0.587628 0.809132i \(-0.699938\pi\)
0.0699509 + 0.997550i \(0.477716\pi\)
\(600\) −12114.8 2254.54i −0.824307 0.153402i
\(601\) 4190.81 + 23767.3i 0.284437 + 1.61312i 0.707289 + 0.706924i \(0.249918\pi\)
−0.422852 + 0.906199i \(0.638971\pi\)
\(602\) −11096.3 + 8732.45i −0.751246 + 0.591209i
\(603\) 6334.90 2268.90i 0.427823 0.153229i
\(604\) −18758.4 4536.92i −1.26369 0.305637i
\(605\) 13789.4 37886.2i 0.926645 2.54594i
\(606\) −13393.9 + 12513.8i −0.897836 + 0.838843i
\(607\) 555.210 661.673i 0.0371256 0.0442446i −0.747162 0.664642i \(-0.768584\pi\)
0.784288 + 0.620397i \(0.213029\pi\)
\(608\) 9648.47 169.880i 0.643581 0.0113315i
\(609\) −760.527 + 529.618i −0.0506044 + 0.0352401i
\(610\) 10893.6 + 2275.44i 0.723063 + 0.151033i
\(611\) −6734.66 + 11664.8i −0.445917 + 0.772351i
\(612\) 10150.8 7404.54i 0.670463 0.489070i
\(613\) −14128.3 24470.9i −0.930891 1.61235i −0.781802 0.623526i \(-0.785699\pi\)
−0.149089 0.988824i \(-0.547634\pi\)
\(614\) 4102.80 + 12477.5i 0.269667 + 0.820113i
\(615\) 13919.4 19770.6i 0.912659 1.29631i
\(616\) −9525.16 + 9394.80i −0.623019 + 0.614492i
\(617\) 17730.5 + 3126.37i 1.15690 + 0.203992i 0.718985 0.695026i \(-0.244607\pi\)
0.437912 + 0.899018i \(0.355718\pi\)
\(618\) −2273.69 1709.96i −0.147996 0.111302i
\(619\) −6128.15 7303.24i −0.397918 0.474220i 0.529466 0.848331i \(-0.322392\pi\)
−0.927384 + 0.374111i \(0.877948\pi\)
\(620\) 23351.8 6874.35i 1.51263 0.445291i
\(621\) −1111.36 1613.53i −0.0718153 0.104265i
\(622\) 3332.50 + 23121.0i 0.214825 + 1.49046i
\(623\) 945.496 793.365i 0.0608034 0.0510201i
\(624\) 13111.3 14388.8i 0.841142 0.923097i
\(625\) −3080.75 + 17471.8i −0.197168 + 1.11820i
\(626\) 12707.8 + 23698.2i 0.811352 + 1.51305i
\(627\) −1569.90 + 17427.9i −0.0999932 + 1.11006i
\(628\) 2491.10 + 5017.53i 0.158289 + 0.318823i
\(629\) 10212.2 5896.04i 0.647359 0.373753i
\(630\) −7263.47 + 8040.67i −0.459339 + 0.508489i
\(631\) 13250.3 + 7650.06i 0.835952 + 0.482637i 0.855886 0.517164i \(-0.173012\pi\)
−0.0199339 + 0.999801i \(0.506346\pi\)
\(632\) 15498.5 1248.40i 0.975468 0.0785737i
\(633\) 26150.1 2220.12i 1.64198 0.139402i
\(634\) −3454.44 2141.70i −0.216393 0.134160i
\(635\) −1427.54 1197.85i −0.0892128 0.0748585i
\(636\) −2924.63 + 19015.3i −0.182341 + 1.18554i
\(637\) −14048.3 5113.18i −0.873808 0.318040i
\(638\) −1264.33 + 3161.33i −0.0784565 + 0.196173i
\(639\) −25019.3 + 14273.9i −1.54890 + 0.883674i
\(640\) 21930.8 + 991.198i 1.35452 + 0.0612196i
\(641\) −28261.5 + 4983.26i −1.74144 + 0.307063i −0.951848 0.306572i \(-0.900818\pi\)
−0.789590 + 0.613634i \(0.789707\pi\)
\(642\) 7190.16 4679.07i 0.442014 0.287645i
\(643\) 2511.32 + 6899.78i 0.154023 + 0.423174i 0.992573 0.121650i \(-0.0388186\pi\)
−0.838550 + 0.544824i \(0.816596\pi\)
\(644\) −1039.14 + 116.622i −0.0635837 + 0.00713596i
\(645\) −10978.5 + 40554.9i −0.670196 + 2.47573i
\(646\) −6538.58 5845.80i −0.398230 0.356037i
\(647\) 17871.7 1.08595 0.542975 0.839749i \(-0.317298\pi\)
0.542975 + 0.839749i \(0.317298\pi\)
\(648\) 16405.5 + 1719.63i 0.994551 + 0.104249i
\(649\) 3788.66 0.229149
\(650\) 12936.2 + 11565.6i 0.780617 + 0.697909i
\(651\) 2550.83 9422.86i 0.153571 0.567298i
\(652\) 3642.14 408.756i 0.218769 0.0245523i
\(653\) −3855.07 10591.7i −0.231027 0.634741i 0.768963 0.639294i \(-0.220773\pi\)
−0.999990 + 0.00455228i \(0.998551\pi\)
\(654\) 19953.4 12984.9i 1.19303 0.776373i
\(655\) −22304.4 + 3932.86i −1.33054 + 0.234610i
\(656\) −8977.65 + 17473.8i −0.534327 + 1.04000i
\(657\) 63.4771 12347.0i 0.00376937 0.733182i
\(658\) −2262.03 + 5655.99i −0.134017 + 0.335096i
\(659\) 8320.77 + 3028.51i 0.491853 + 0.179020i 0.576026 0.817431i \(-0.304603\pi\)
−0.0841731 + 0.996451i \(0.526825\pi\)
\(660\) −6051.49 + 39345.5i −0.356900 + 2.32049i
\(661\) −19281.3 16178.9i −1.13458 0.952023i −0.135329 0.990801i \(-0.543209\pi\)
−0.999248 + 0.0387774i \(0.987654\pi\)
\(662\) 2382.57 + 1477.16i 0.139881 + 0.0867240i
\(663\) −17629.5 + 1496.73i −1.03269 + 0.0876743i
\(664\) 2122.54 + 26350.6i 0.124052 + 1.54006i
\(665\) 6550.53 + 3781.95i 0.381983 + 0.220538i
\(666\) 15137.8 + 3243.27i 0.880746 + 0.188700i
\(667\) −230.460 + 133.056i −0.0133785 + 0.00772408i
\(668\) −6964.96 14028.7i −0.403417 0.812554i
\(669\) 525.075 5829.02i 0.0303446 0.336865i
\(670\) −5049.92 9417.37i −0.291187 0.543022i
\(671\) 2847.12 16146.8i 0.163803 0.928973i
\(672\) 4940.65 7286.74i 0.283616 0.418292i
\(673\) 2344.08 1966.91i 0.134261 0.112658i −0.573184 0.819426i \(-0.694292\pi\)
0.707445 + 0.706768i \(0.249848\pi\)
\(674\) −1087.60 7545.79i −0.0621554 0.431236i
\(675\) −1394.47 + 14637.8i −0.0795156 + 0.834680i
\(676\) −9435.66 + 2777.69i −0.536849 + 0.158039i
\(677\) 6212.47 + 7403.74i 0.352681 + 0.420308i 0.912994 0.407972i \(-0.133764\pi\)
−0.560314 + 0.828280i \(0.689319\pi\)
\(678\) 8066.95 + 6066.87i 0.456946 + 0.343653i
\(679\) −9982.29 1760.15i −0.564190 0.0994819i
\(680\) −14011.4 14205.8i −0.790164 0.801129i
\(681\) 9170.20 13025.0i 0.516010 0.732922i
\(682\) −11202.6 34069.4i −0.628988 1.91288i
\(683\) −8538.58 14789.3i −0.478360 0.828543i 0.521332 0.853354i \(-0.325435\pi\)
−0.999692 + 0.0248103i \(0.992102\pi\)
\(684\) −1225.39 11449.4i −0.0684998 0.640026i
\(685\) −6802.85 + 11782.9i −0.379450 + 0.657227i
\(686\) −15506.8 3239.05i −0.863051 0.180273i
\(687\) 12277.9 8550.14i 0.681851 0.474830i
\(688\) 4274.30 33867.6i 0.236855 1.87673i
\(689\) 17414.1 20753.3i 0.962880 1.14752i
\(690\) −2273.48 + 2124.10i −0.125435 + 0.117193i
\(691\) −2833.14 + 7784.00i −0.155974 + 0.428534i −0.992925 0.118743i \(-0.962113\pi\)
0.836951 + 0.547277i \(0.184336\pi\)
\(692\) −4674.26 1130.52i −0.256775 0.0621040i
\(693\) 12176.3 + 10324.3i 0.667445 + 0.565925i
\(694\) 12391.6 9751.83i 0.677779 0.533393i
\(695\) 2501.81 + 14188.5i 0.136545 + 0.774387i
\(696\) 409.914 2202.67i 0.0223243 0.119960i
\(697\) 16778.5 6106.88i 0.911810 0.331872i
\(698\) 13539.4 + 425.081i 0.734203 + 0.0230509i
\(699\) −13309.5 + 13241.3i −0.720190 + 0.716497i
\(700\) 6536.81 + 4342.48i 0.352955 + 0.234472i
\(701\) 17448.4i 0.940112i 0.882637 + 0.470056i \(0.155766\pi\)
−0.882637 + 0.470056i \(0.844234\pi\)
\(702\) −18492.1 14056.7i −0.994218 0.755750i
\(703\) 10806.9i 0.579785i
\(704\) 445.693 32340.5i 0.0238604 1.73136i
\(705\) 4646.14 + 17519.6i 0.248204 + 0.935926i
\(706\) −54.8022 + 1745.52i −0.00292140 + 0.0930505i
\(707\) 10969.5 3992.56i 0.583521 0.212384i
\(708\) −2445.14 + 486.644i −0.129794 + 0.0258322i
\(709\) 1380.68 + 7830.22i 0.0731347 + 0.414767i 0.999292 + 0.0376293i \(0.0119806\pi\)
−0.926157 + 0.377138i \(0.876908\pi\)
\(710\) 28289.1 + 35946.8i 1.49531 + 1.90008i
\(711\) −3127.77 18287.8i −0.164980 0.964620i
\(712\) −280.535 + 2970.64i −0.0147661 + 0.156362i
\(713\) 958.709 2634.03i 0.0503561 0.138352i
\(714\) −7794.89 + 1807.40i −0.408566 + 0.0947341i
\(715\) 36032.4 42941.7i 1.88466 2.24606i
\(716\) −34053.1 14875.0i −1.77741 0.776403i
\(717\) −12490.8 5863.70i −0.650597 0.305417i
\(718\) 1544.36 7393.56i 0.0802717 0.384297i
\(719\) −815.729 + 1412.88i −0.0423109 + 0.0732847i −0.886405 0.462910i \(-0.846805\pi\)
0.844094 + 0.536195i \(0.180139\pi\)
\(720\) −1148.29 26170.3i −0.0594366 1.35459i
\(721\) 905.895 + 1569.06i 0.0467924 + 0.0810467i
\(722\) 10793.7 3549.14i 0.556369 0.182944i
\(723\) 12696.8 + 27412.1i 0.653110 + 1.41005i
\(724\) 2766.91 2040.20i 0.142032 0.104729i
\(725\) 1966.84 + 346.807i 0.100754 + 0.0177656i
\(726\) 38800.8 + 4726.71i 1.98352 + 0.241632i
\(727\) −14797.2 17634.6i −0.754879 0.899630i 0.242633 0.970118i \(-0.421989\pi\)
−0.997513 + 0.0704878i \(0.977544\pi\)
\(728\) −11271.5 + 5161.74i −0.573832 + 0.262784i
\(729\) 303.563 19680.7i 0.0154226 0.999881i
\(730\) −19407.2 + 2797.23i −0.983965 + 0.141822i
\(731\) −23767.4 + 19943.2i −1.20256 + 1.00907i
\(732\) 236.532 + 10786.6i 0.0119433 + 0.544651i
\(733\) −2733.57 + 15502.9i −0.137745 + 0.781188i 0.835164 + 0.550000i \(0.185372\pi\)
−0.972909 + 0.231188i \(0.925739\pi\)
\(734\) −1962.44 + 1052.33i −0.0986853 + 0.0529184i
\(735\) −18254.6 + 8455.20i −0.916096 + 0.424319i
\(736\) 1590.58 1964.81i 0.0796596 0.0984020i
\(737\) −13634.3 + 7871.77i −0.681446 + 0.393433i
\(738\) 21720.3 + 8816.53i 1.08338 + 0.439757i
\(739\) 1877.41 + 1083.92i 0.0934527 + 0.0539549i 0.545998 0.837786i \(-0.316151\pi\)
−0.452545 + 0.891741i \(0.649484\pi\)
\(740\) 1542.22 24536.6i 0.0766122 1.21890i
\(741\) −6890.37 + 14677.8i −0.341598 + 0.727670i
\(742\) 6456.07 10413.3i 0.319420 0.515207i
\(743\) −16277.1 13658.1i −0.803699 0.674384i 0.145396 0.989374i \(-0.453554\pi\)
−0.949095 + 0.314990i \(0.897999\pi\)
\(744\) 11606.1 + 20548.9i 0.571910 + 1.01258i
\(745\) −43278.4 15752.1i −2.12832 0.774645i
\(746\) 4274.29 + 1709.44i 0.209776 + 0.0838970i
\(747\) 31093.1 5317.87i 1.52294 0.260470i
\(748\) −20271.3 + 21289.6i −0.990899 + 1.04067i
\(749\) −5380.25 + 948.684i −0.262470 + 0.0462806i
\(750\) −4492.45 + 239.722i −0.218722 + 0.0116712i
\(751\) 11592.4 + 31850.0i 0.563268 + 1.54757i 0.814815 + 0.579721i \(0.196838\pi\)
−0.251547 + 0.967845i \(0.580939\pi\)
\(752\) −5708.40 13575.1i −0.276814 0.658291i
\(753\) 9995.05 2650.65i 0.483718 0.128280i
\(754\) −2102.82 + 2352.02i −0.101565 + 0.113602i
\(755\) 36570.6 1.76283