Properties

Label 177.4.f.a.2.8
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.8
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.238865 + 4.40561i) q^{2} +(-4.39778 - 2.76759i) q^{3} +(-11.3992 - 1.23974i) q^{4} +(-6.88505 + 20.4341i) q^{5} +(13.2434 - 18.7138i) q^{6} +(12.3388 + 18.1984i) q^{7} +(2.47433 - 15.0928i) q^{8} +(11.6809 + 24.3425i) q^{9} +O(q^{10})\) \(q+(-0.238865 + 4.40561i) q^{2} +(-4.39778 - 2.76759i) q^{3} +(-11.3992 - 1.23974i) q^{4} +(-6.88505 + 20.4341i) q^{5} +(13.2434 - 18.7138i) q^{6} +(12.3388 + 18.1984i) q^{7} +(2.47433 - 15.0928i) q^{8} +(11.6809 + 24.3425i) q^{9} +(-88.3800 - 35.2138i) q^{10} +(-46.5935 + 10.2560i) q^{11} +(46.7002 + 37.0005i) q^{12} +(15.2475 - 12.9514i) q^{13} +(-83.1225 + 50.0131i) q^{14} +(86.8321 - 70.8095i) q^{15} +(-23.6852 - 5.21350i) q^{16} +(68.4735 + 46.4262i) q^{17} +(-110.034 + 45.6467i) q^{18} +(27.3237 - 51.5379i) q^{19} +(103.817 - 224.397i) q^{20} +(-3.89761 - 114.182i) q^{21} +(-34.0544 - 207.723i) q^{22} +(4.92299 - 4.66330i) q^{23} +(-52.6522 + 59.5266i) q^{24} +(-270.636 - 205.732i) q^{25} +(53.4166 + 70.2683i) q^{26} +(16.0003 - 139.381i) q^{27} +(-118.092 - 222.745i) q^{28} +(201.980 - 10.9511i) q^{29} +(291.218 + 399.462i) q^{30} +(-73.5277 + 38.9819i) q^{31} +(61.3593 - 220.996i) q^{32} +(233.292 + 83.8483i) q^{33} +(-220.892 + 290.578i) q^{34} +(-456.822 + 126.836i) q^{35} +(-102.974 - 291.967i) q^{36} +(327.232 - 53.6470i) q^{37} +(220.529 + 132.688i) q^{38} +(-102.899 + 14.7583i) q^{39} +(291.371 + 154.475i) q^{40} +(-282.573 + 298.308i) q^{41} +(503.970 + 10.1026i) q^{42} +(-74.2998 + 337.547i) q^{43} +(543.845 - 59.1468i) q^{44} +(-577.840 + 71.0884i) q^{45} +(19.3688 + 22.8027i) q^{46} +(-138.274 + 46.5899i) q^{47} +(89.7332 + 88.4787i) q^{48} +(-51.9785 + 130.456i) q^{49} +(971.022 - 1143.18i) q^{50} +(-172.642 - 393.679i) q^{51} +(-189.867 + 128.733i) q^{52} +(226.216 - 90.1328i) q^{53} +(610.235 + 103.784i) q^{54} +(111.226 - 1022.71i) q^{55} +(305.195 - 141.198i) q^{56} +(-262.799 + 151.031i) q^{57} +892.462i q^{58} +(-453.134 - 6.98137i) q^{59} +(-1077.60 + 699.525i) q^{60} +(444.493 + 24.0997i) q^{61} +(-154.176 - 333.246i) q^{62} +(-298.867 + 512.932i) q^{63} +(775.106 + 261.164i) q^{64} +(159.670 + 400.740i) q^{65} +(-425.128 + 1007.77i) q^{66} +(-453.541 - 74.3542i) q^{67} +(-722.989 - 614.112i) q^{68} +(-34.5563 + 6.88333i) q^{69} +(-449.671 - 2042.87i) q^{70} +(-118.589 - 351.959i) q^{71} +(396.298 - 116.065i) q^{72} +(248.173 + 412.466i) q^{73} +(158.183 + 1454.47i) q^{74} +(620.814 + 1653.78i) q^{75} +(-375.363 + 553.619i) q^{76} +(-761.554 - 721.382i) q^{77} +(-40.4401 - 456.860i) q^{78} +(437.328 + 202.329i) q^{79} +(269.607 - 448.090i) q^{80} +(-456.115 + 568.683i) q^{81} +(-1246.73 - 1316.16i) q^{82} +(-151.738 - 546.510i) q^{83} +(-97.1257 + 1306.41i) q^{84} +(-1420.12 + 1079.55i) q^{85} +(-1469.35 - 407.964i) q^{86} +(-918.572 - 510.839i) q^{87} +(39.5037 + 728.602i) q^{88} +(71.6390 + 1321.30i) q^{89} +(-175.162 - 2562.72i) q^{90} +(423.832 + 117.676i) q^{91} +(-61.8996 + 47.0548i) q^{92} +(431.244 + 32.0610i) q^{93} +(-172.228 - 620.310i) q^{94} +(865.006 + 913.176i) q^{95} +(-881.473 + 802.075i) q^{96} +(263.303 - 437.613i) q^{97} +(-562.323 - 260.158i) q^{98} +(-793.910 - 1014.40i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.238865 + 4.40561i −0.0844516 + 1.55762i 0.582695 + 0.812691i \(0.301998\pi\)
−0.667146 + 0.744927i \(0.732484\pi\)
\(3\) −4.39778 2.76759i −0.846352 0.532624i
\(4\) −11.3992 1.23974i −1.42490 0.154968i
\(5\) −6.88505 + 20.4341i −0.615817 + 1.82768i −0.0570245 + 0.998373i \(0.518161\pi\)
−0.558793 + 0.829307i \(0.688735\pi\)
\(6\) 13.2434 18.7138i 0.901100 1.27331i
\(7\) 12.3388 + 18.1984i 0.666235 + 0.982623i 0.999212 + 0.0396880i \(0.0126364\pi\)
−0.332977 + 0.942935i \(0.608053\pi\)
\(8\) 2.47433 15.0928i 0.109351 0.667012i
\(9\) 11.6809 + 24.3425i 0.432624 + 0.901574i
\(10\) −88.3800 35.2138i −2.79482 1.11356i
\(11\) −46.5935 + 10.2560i −1.27713 + 0.281119i −0.801218 0.598372i \(-0.795815\pi\)
−0.475916 + 0.879491i \(0.657884\pi\)
\(12\) 46.7002 + 37.0005i 1.12343 + 0.890094i
\(13\) 15.2475 12.9514i 0.325300 0.276313i −0.469823 0.882761i \(-0.655682\pi\)
0.795123 + 0.606448i \(0.207406\pi\)
\(14\) −83.1225 + 50.0131i −1.58682 + 0.954755i
\(15\) 86.8321 70.8095i 1.49466 1.21886i
\(16\) −23.6852 5.21350i −0.370081 0.0814609i
\(17\) 68.4735 + 46.4262i 0.976898 + 0.662353i 0.941498 0.337020i \(-0.109419\pi\)
0.0354006 + 0.999373i \(0.488729\pi\)
\(18\) −110.034 + 45.6467i −1.44084 + 0.597724i
\(19\) 27.3237 51.5379i 0.329920 0.622295i −0.661950 0.749548i \(-0.730271\pi\)
0.991870 + 0.127252i \(0.0406158\pi\)
\(20\) 103.817 224.397i 1.16071 2.50884i
\(21\) −3.89761 114.182i −0.0405014 1.18650i
\(22\) −34.0544 207.723i −0.330019 2.01303i
\(23\) 4.92299 4.66330i 0.0446311 0.0422768i −0.665059 0.746791i \(-0.731594\pi\)
0.709690 + 0.704514i \(0.248835\pi\)
\(24\) −52.6522 + 59.5266i −0.447816 + 0.506284i
\(25\) −270.636 205.732i −2.16509 1.64586i
\(26\) 53.4166 + 70.2683i 0.402917 + 0.530029i
\(27\) 16.0003 139.381i 0.114047 0.993475i
\(28\) −118.092 222.745i −0.797046 1.50339i
\(29\) 201.980 10.9511i 1.29334 0.0701227i 0.605417 0.795908i \(-0.293006\pi\)
0.687921 + 0.725786i \(0.258524\pi\)
\(30\) 291.218 + 399.462i 1.77230 + 2.43105i
\(31\) −73.5277 + 38.9819i −0.425999 + 0.225850i −0.667592 0.744527i \(-0.732675\pi\)
0.241593 + 0.970378i \(0.422330\pi\)
\(32\) 61.3593 220.996i 0.338966 1.22084i
\(33\) 233.292 + 83.8483i 1.23064 + 0.442307i
\(34\) −220.892 + 290.578i −1.11419 + 1.46570i
\(35\) −456.822 + 126.836i −2.20620 + 0.612548i
\(36\) −102.974 291.967i −0.476733 1.35170i
\(37\) 327.232 53.6470i 1.45396 0.238365i 0.617579 0.786509i \(-0.288114\pi\)
0.836384 + 0.548144i \(0.184665\pi\)
\(38\) 220.529 + 132.688i 0.941436 + 0.566443i
\(39\) −102.899 + 14.7583i −0.422489 + 0.0605952i
\(40\) 291.371 + 154.475i 1.15174 + 0.610616i
\(41\) −282.573 + 298.308i −1.07635 + 1.13629i −0.0862024 + 0.996278i \(0.527473\pi\)
−0.990150 + 0.140013i \(0.955285\pi\)
\(42\) 503.970 + 10.1026i 1.85153 + 0.0371160i
\(43\) −74.2998 + 337.547i −0.263503 + 1.19710i 0.639950 + 0.768417i \(0.278955\pi\)
−0.903453 + 0.428688i \(0.858976\pi\)
\(44\) 543.845 59.1468i 1.86336 0.202652i
\(45\) −577.840 + 71.0884i −1.91421 + 0.235494i
\(46\) 19.3688 + 22.8027i 0.0620819 + 0.0730885i
\(47\) −138.274 + 46.5899i −0.429135 + 0.144592i −0.525577 0.850746i \(-0.676150\pi\)
0.0964418 + 0.995339i \(0.469254\pi\)
\(48\) 89.7332 + 88.4787i 0.269831 + 0.266058i
\(49\) −51.9785 + 130.456i −0.151541 + 0.380339i
\(50\) 971.022 1143.18i 2.74647 3.23339i
\(51\) −172.642 393.679i −0.474015 1.08090i
\(52\) −189.867 + 128.733i −0.506341 + 0.343308i
\(53\) 226.216 90.1328i 0.586287 0.233598i −0.0580834 0.998312i \(-0.518499\pi\)
0.644370 + 0.764714i \(0.277120\pi\)
\(54\) 610.235 + 103.784i 1.53782 + 0.261542i
\(55\) 111.226 1022.71i 0.272687 2.50731i
\(56\) 305.195 141.198i 0.728275 0.336936i
\(57\) −262.799 + 151.031i −0.610678 + 0.350958i
\(58\) 892.462i 2.02045i
\(59\) −453.134 6.98137i −0.999881 0.0154050i
\(60\) −1077.60 + 699.525i −2.31864 + 1.50514i
\(61\) 444.493 + 24.0997i 0.932974 + 0.0505844i 0.514355 0.857577i \(-0.328031\pi\)
0.418619 + 0.908162i \(0.362514\pi\)
\(62\) −154.176 333.246i −0.315812 0.682617i
\(63\) −298.867 + 512.932i −0.597678 + 1.02577i
\(64\) 775.106 + 261.164i 1.51388 + 0.510085i
\(65\) 159.670 + 400.740i 0.304686 + 0.764703i
\(66\) −425.128 + 1007.77i −0.792874 + 1.87951i
\(67\) −453.541 74.3542i −0.826997 0.135579i −0.266604 0.963806i \(-0.585902\pi\)
−0.560393 + 0.828227i \(0.689350\pi\)
\(68\) −722.989 614.112i −1.28934 1.09518i
\(69\) −34.5563 + 6.88333i −0.0602912 + 0.0120095i
\(70\) −449.671 2042.87i −0.767799 3.48815i
\(71\) −118.589 351.959i −0.198224 0.588307i 0.801732 0.597683i \(-0.203912\pi\)
−0.999956 + 0.00937623i \(0.997015\pi\)
\(72\) 396.298 116.065i 0.648669 0.189978i
\(73\) 248.173 + 412.466i 0.397896 + 0.661309i 0.989437 0.144967i \(-0.0463075\pi\)
−0.591540 + 0.806276i \(0.701480\pi\)
\(74\) 158.183 + 1454.47i 0.248492 + 2.28485i
\(75\) 620.814 + 1653.78i 0.955806 + 2.54616i
\(76\) −375.363 + 553.619i −0.566540 + 0.835584i
\(77\) −761.554 721.382i −1.12711 1.06765i
\(78\) −40.4401 456.860i −0.0587043 0.663194i
\(79\) 437.328 + 202.329i 0.622826 + 0.288150i 0.705810 0.708401i \(-0.250583\pi\)
−0.0829844 + 0.996551i \(0.526445\pi\)
\(80\) 269.607 448.090i 0.376787 0.626224i
\(81\) −456.115 + 568.683i −0.625672 + 0.780086i
\(82\) −1246.73 1316.16i −1.67901 1.77251i
\(83\) −151.738 546.510i −0.200667 0.722738i −0.993553 0.113368i \(-0.963836\pi\)
0.792886 0.609370i \(-0.208578\pi\)
\(84\) −97.1257 + 1306.41i −0.126158 + 1.69692i
\(85\) −1420.12 + 1079.55i −1.81216 + 1.37757i
\(86\) −1469.35 407.964i −1.84238 0.511534i
\(87\) −918.572 510.839i −1.13197 0.629514i
\(88\) 39.5037 + 728.602i 0.0478535 + 0.882605i
\(89\) 71.6390 + 1321.30i 0.0853227 + 1.57369i 0.657436 + 0.753510i \(0.271641\pi\)
−0.572113 + 0.820175i \(0.693876\pi\)
\(90\) −175.162 2562.72i −0.205152 3.00149i
\(91\) 423.832 + 117.676i 0.488238 + 0.135559i
\(92\) −61.8996 + 47.0548i −0.0701465 + 0.0533240i
\(93\) 431.244 + 32.0610i 0.480838 + 0.0357481i
\(94\) −172.228 620.310i −0.188979 0.680639i
\(95\) 865.006 + 913.176i 0.934187 + 0.986209i
\(96\) −881.473 + 802.075i −0.937135 + 0.852723i
\(97\) 263.303 437.613i 0.275612 0.458070i −0.687874 0.725830i \(-0.741456\pi\)
0.963486 + 0.267760i \(0.0862834\pi\)
\(98\) −562.323 260.158i −0.579624 0.268163i
\(99\) −793.910 1014.40i −0.805969 1.02981i
\(100\) 2829.99 + 2680.71i 2.82999 + 2.68071i
\(101\) 554.103 817.240i 0.545894 0.805133i −0.450247 0.892904i \(-0.648664\pi\)
0.996141 + 0.0877709i \(0.0279743\pi\)
\(102\) 1775.63 666.559i 1.72367 0.647050i
\(103\) 76.3595 + 702.114i 0.0730478 + 0.671664i 0.972220 + 0.234069i \(0.0752041\pi\)
−0.899172 + 0.437595i \(0.855830\pi\)
\(104\) −157.745 262.173i −0.148732 0.247194i
\(105\) 2360.03 + 706.501i 2.19348 + 0.656642i
\(106\) 343.055 + 1018.15i 0.314344 + 0.932938i
\(107\) 104.655 + 475.452i 0.0945549 + 0.429567i 0.999987 + 0.00507646i \(0.00161590\pi\)
−0.905432 + 0.424491i \(0.860453\pi\)
\(108\) −355.188 + 1569.00i −0.316462 + 1.39793i
\(109\) 139.919 + 118.848i 0.122952 + 0.104436i 0.706753 0.707460i \(-0.250159\pi\)
−0.583801 + 0.811897i \(0.698435\pi\)
\(110\) 4479.09 + 734.310i 3.88241 + 0.636488i
\(111\) −1587.57 669.718i −1.35752 0.572674i
\(112\) −197.370 495.361i −0.166515 0.417922i
\(113\) −1062.34 357.943i −0.884392 0.297987i −0.159788 0.987151i \(-0.551081\pi\)
−0.724605 + 0.689165i \(0.757978\pi\)
\(114\) −602.612 1193.87i −0.495086 0.980842i
\(115\) 61.3953 + 132.704i 0.0497839 + 0.107606i
\(116\) −2316.00 125.570i −1.85375 0.100507i
\(117\) 493.373 + 219.880i 0.389849 + 0.173743i
\(118\) 138.995 1994.66i 0.108437 1.55613i
\(119\) 1818.96i 1.40121i
\(120\) −853.860 1485.74i −0.649553 1.13024i
\(121\) 857.790 396.856i 0.644470 0.298164i
\(122\) −212.348 + 1952.50i −0.157582 + 1.44895i
\(123\) 2068.29 529.847i 1.51619 0.388412i
\(124\) 886.487 353.209i 0.642007 0.255799i
\(125\) 3836.38 2601.13i 2.74509 1.86122i
\(126\) −2188.39 1439.21i −1.54728 1.01758i
\(127\) −783.850 + 922.819i −0.547680 + 0.644779i −0.964460 0.264228i \(-0.914883\pi\)
0.416780 + 0.909007i \(0.363159\pi\)
\(128\) −656.582 + 1647.90i −0.453392 + 1.13793i
\(129\) 1260.95 1278.83i 0.860622 0.872824i
\(130\) −1803.64 + 607.719i −1.21685 + 0.410003i
\(131\) −1160.09 1365.76i −0.773722 0.910896i 0.224251 0.974531i \(-0.428006\pi\)
−0.997973 + 0.0636354i \(0.979731\pi\)
\(132\) −2555.40 1245.03i −1.68500 0.820953i
\(133\) 1275.05 138.670i 0.831286 0.0904078i
\(134\) 435.911 1980.36i 0.281022 1.27670i
\(135\) 2737.95 + 1286.60i 1.74552 + 0.820241i
\(136\) 870.126 918.581i 0.548623 0.579174i
\(137\) −2053.15 1088.51i −1.28038 0.678816i −0.317378 0.948299i \(-0.602802\pi\)
−0.963005 + 0.269483i \(0.913147\pi\)
\(138\) −22.0710 153.886i −0.0136145 0.0949249i
\(139\) −502.177 302.150i −0.306432 0.184374i 0.354029 0.935235i \(-0.384812\pi\)
−0.660461 + 0.750860i \(0.729639\pi\)
\(140\) 5364.66 879.491i 3.23855 0.530933i
\(141\) 737.040 + 177.794i 0.440213 + 0.106191i
\(142\) 1578.92 438.385i 0.933098 0.259073i
\(143\) −577.607 + 759.829i −0.337776 + 0.444337i
\(144\) −149.753 637.454i −0.0866629 0.368897i
\(145\) −1166.87 + 4202.68i −0.668298 + 2.40699i
\(146\) −1876.45 + 994.829i −1.06367 + 0.563922i
\(147\) 589.639 429.861i 0.330834 0.241186i
\(148\) −3796.70 + 205.851i −2.10870 + 0.114330i
\(149\) 327.531 + 617.789i 0.180083 + 0.339673i 0.957076 0.289836i \(-0.0936008\pi\)
−0.776993 + 0.629509i \(0.783256\pi\)
\(150\) −7434.18 + 2340.04i −4.04666 + 1.27375i
\(151\) 549.358 + 722.668i 0.296067 + 0.389470i 0.919942 0.392055i \(-0.128236\pi\)
−0.623875 + 0.781524i \(0.714442\pi\)
\(152\) −710.242 539.912i −0.379001 0.288109i
\(153\) −330.300 + 2209.11i −0.174531 + 1.16730i
\(154\) 3360.04 3182.80i 1.75818 1.66543i
\(155\) −290.318 1770.86i −0.150445 0.917672i
\(156\) 1191.27 40.6643i 0.611397 0.0208702i
\(157\) 61.5975 133.141i 0.0313122 0.0676802i −0.891288 0.453437i \(-0.850198\pi\)
0.922600 + 0.385757i \(0.126060\pi\)
\(158\) −995.847 + 1878.37i −0.501426 + 0.945790i
\(159\) −1244.30 229.691i −0.620625 0.114564i
\(160\) 4093.40 + 2775.39i 2.02257 + 1.37134i
\(161\) 145.609 + 32.0509i 0.0712769 + 0.0156892i
\(162\) −2396.44 2145.30i −1.16224 1.04044i
\(163\) 310.460 186.798i 0.149185 0.0897615i −0.439004 0.898485i \(-0.644669\pi\)
0.588189 + 0.808723i \(0.299841\pi\)
\(164\) 3590.94 3050.17i 1.70979 1.45231i
\(165\) −3319.59 + 4189.82i −1.56624 + 1.97683i
\(166\) 2443.95 537.955i 1.14270 0.251526i
\(167\) 63.5459 + 25.3190i 0.0294451 + 0.0117320i 0.384814 0.922994i \(-0.374266\pi\)
−0.355369 + 0.934726i \(0.615645\pi\)
\(168\) −1732.96 223.697i −0.795837 0.102730i
\(169\) −290.686 + 1773.10i −0.132310 + 0.807057i
\(170\) −4416.85 6514.36i −1.99269 2.93899i
\(171\) 1573.73 + 63.1195i 0.703777 + 0.0282273i
\(172\) 1265.43 3755.67i 0.560978 1.66492i
\(173\) 407.229 + 44.2888i 0.178965 + 0.0194637i 0.197163 0.980371i \(-0.436827\pi\)
−0.0181974 + 0.999834i \(0.505793\pi\)
\(174\) 2469.97 3924.85i 1.07614 1.71001i
\(175\) 404.668 7463.66i 0.174800 3.22400i
\(176\) 1157.05 0.495543
\(177\) 1973.46 + 1284.79i 0.838047 + 0.545598i
\(178\) −5838.26 −2.45841
\(179\) 117.806 2172.81i 0.0491913 0.907280i −0.864943 0.501869i \(-0.832646\pi\)
0.914135 0.405411i \(-0.132871\pi\)
\(180\) 6675.06 93.9814i 2.76405 0.0389164i
\(181\) −326.924 35.5552i −0.134255 0.0146011i 0.0407449 0.999170i \(-0.487027\pi\)
−0.175000 + 0.984569i \(0.555992\pi\)
\(182\) −619.674 + 1839.13i −0.252381 + 0.749040i
\(183\) −1888.08 1336.16i −0.762683 0.539736i
\(184\) −58.2010 85.8401i −0.0233187 0.0343925i
\(185\) −1156.78 + 7056.05i −0.459720 + 2.80417i
\(186\) −244.258 + 1892.24i −0.0962894 + 0.745943i
\(187\) −3666.57 1460.90i −1.43383 0.571290i
\(188\) 1633.98 359.665i 0.633883 0.139528i
\(189\) 2733.94 1428.62i 1.05219 0.549823i
\(190\) −4229.71 + 3592.75i −1.61503 + 1.37182i
\(191\) −669.059 + 402.560i −0.253463 + 0.152504i −0.636615 0.771182i \(-0.719666\pi\)
0.383152 + 0.923685i \(0.374838\pi\)
\(192\) −2685.95 3293.72i −1.00959 1.23804i
\(193\) −1821.35 400.910i −0.679294 0.149524i −0.138096 0.990419i \(-0.544098\pi\)
−0.541198 + 0.840895i \(0.682029\pi\)
\(194\) 1865.06 + 1264.54i 0.690223 + 0.467983i
\(195\) 406.895 2204.27i 0.149428 0.809491i
\(196\) 754.246 1422.66i 0.274871 0.518462i
\(197\) −1289.98 + 2788.24i −0.466533 + 1.00840i 0.521371 + 0.853330i \(0.325421\pi\)
−0.987904 + 0.155065i \(0.950441\pi\)
\(198\) 4658.71 3255.35i 1.67212 1.16842i
\(199\) −34.5386 210.676i −0.0123034 0.0750474i 0.979961 0.199189i \(-0.0638307\pi\)
−0.992265 + 0.124141i \(0.960382\pi\)
\(200\) −3774.71 + 3575.60i −1.33456 + 1.26417i
\(201\) 1788.79 + 1582.21i 0.627718 + 0.555226i
\(202\) 3468.09 + 2636.37i 1.20799 + 0.918289i
\(203\) 2691.50 + 3540.60i 0.930571 + 1.22415i
\(204\) 1479.93 + 4701.67i 0.507921 + 1.61364i
\(205\) −4150.13 7827.98i −1.41394 2.66697i
\(206\) −3111.48 + 168.700i −1.05236 + 0.0570575i
\(207\) 171.021 + 65.3665i 0.0574241 + 0.0219482i
\(208\) −428.662 + 227.262i −0.142896 + 0.0757587i
\(209\) −744.534 + 2681.57i −0.246414 + 0.887502i
\(210\) −3676.29 + 10228.6i −1.20804 + 3.36115i
\(211\) −79.1515 + 104.122i −0.0258247 + 0.0339718i −0.808824 0.588051i \(-0.799896\pi\)
0.782999 + 0.622022i \(0.213689\pi\)
\(212\) −2690.43 + 746.995i −0.871602 + 0.241999i
\(213\) −452.552 + 1876.04i −0.145579 + 0.603494i
\(214\) −2119.66 + 347.500i −0.677087 + 0.111003i
\(215\) −6385.92 3842.28i −2.02565 1.21880i
\(216\) −2064.05 586.364i −0.650189 0.184708i
\(217\) −1616.66 857.097i −0.505741 0.268127i
\(218\) −557.019 + 588.038i −0.173056 + 0.182693i
\(219\) 50.1308 2500.78i 0.0154682 0.771629i
\(220\) −2535.79 + 11520.2i −0.777104 + 3.53042i
\(221\) 1645.34 178.941i 0.500802 0.0544655i
\(222\) 3329.73 6834.22i 1.00665 2.06614i
\(223\) 1986.99 + 2339.26i 0.596675 + 0.702461i 0.974746 0.223316i \(-0.0716882\pi\)
−0.378071 + 0.925777i \(0.623412\pi\)
\(224\) 4778.89 1610.20i 1.42546 0.480293i
\(225\) 1846.78 8991.10i 0.547193 2.66403i
\(226\) 1830.71 4594.75i 0.538838 1.35238i
\(227\) 2665.89 3138.53i 0.779479 0.917673i −0.218833 0.975762i \(-0.570225\pi\)
0.998311 + 0.0580891i \(0.0185008\pi\)
\(228\) 3182.95 1395.84i 0.924544 0.405446i
\(229\) 1361.89 923.387i 0.392998 0.266459i −0.348644 0.937255i \(-0.613358\pi\)
0.741642 + 0.670796i \(0.234047\pi\)
\(230\) −599.307 + 238.786i −0.171813 + 0.0684567i
\(231\) 1352.65 + 5280.15i 0.385272 + 1.50393i
\(232\) 334.485 3075.54i 0.0946552 0.870340i
\(233\) −4155.41 + 1922.50i −1.16837 + 0.540545i −0.905525 0.424293i \(-0.860523\pi\)
−0.262845 + 0.964838i \(0.584661\pi\)
\(234\) −1086.56 + 2121.09i −0.303548 + 0.592563i
\(235\) 3146.28i 0.873364i
\(236\) 5156.72 + 641.351i 1.42235 + 0.176900i
\(237\) −1363.30 2100.15i −0.373655 0.575608i
\(238\) −8013.61 434.485i −2.18254 0.118334i
\(239\) 2445.25 + 5285.33i 0.661800 + 1.43046i 0.889596 + 0.456749i \(0.150986\pi\)
−0.227795 + 0.973709i \(0.573152\pi\)
\(240\) −2425.80 + 1224.44i −0.652436 + 0.329321i
\(241\) −3810.80 1284.01i −1.01857 0.343196i −0.240012 0.970770i \(-0.577152\pi\)
−0.778557 + 0.627574i \(0.784048\pi\)
\(242\) 1543.50 + 3873.88i 0.409999 + 1.02902i
\(243\) 3579.77 1238.60i 0.945031 0.326980i
\(244\) −5037.00 825.774i −1.32156 0.216659i
\(245\) −2307.88 1960.33i −0.601816 0.511187i
\(246\) 1840.26 + 9238.63i 0.476953 + 2.39444i
\(247\) −250.868 1139.71i −0.0646250 0.293594i
\(248\) 406.413 + 1206.19i 0.104061 + 0.308843i
\(249\) −845.208 + 2823.38i −0.215112 + 0.718571i
\(250\) 10543.2 + 17522.9i 2.66724 + 4.43299i
\(251\) −605.218 5564.89i −0.152195 1.39941i −0.782299 0.622903i \(-0.785953\pi\)
0.630104 0.776511i \(-0.283012\pi\)
\(252\) 4042.76 5476.51i 1.01059 1.36900i
\(253\) −181.553 + 267.770i −0.0451151 + 0.0665398i
\(254\) −3878.35 3673.76i −0.958067 0.907529i
\(255\) 9233.12 817.292i 2.26745 0.200709i
\(256\) −1164.55 538.777i −0.284314 0.131537i
\(257\) 1761.02 2926.84i 0.427430 0.710395i −0.566053 0.824369i \(-0.691530\pi\)
0.993484 + 0.113974i \(0.0363580\pi\)
\(258\) 5332.81 + 5860.71i 1.28685 + 1.41423i
\(259\) 5013.96 + 5293.17i 1.20290 + 1.26989i
\(260\) −1323.30 4766.08i −0.315643 1.13685i
\(261\) 2625.88 + 4788.79i 0.622750 + 1.13570i
\(262\) 6294.13 4784.67i 1.48417 1.12824i
\(263\) −1524.71 423.334i −0.357482 0.0992543i 0.0841442 0.996454i \(-0.473184\pi\)
−0.441626 + 0.897199i \(0.645598\pi\)
\(264\) 1842.75 3313.56i 0.429595 0.772483i
\(265\) 284.272 + 5243.09i 0.0658970 + 1.21540i
\(266\) 306.361 + 5650.50i 0.0706174 + 1.30246i
\(267\) 3341.78 6009.07i 0.765969 1.37734i
\(268\) 5077.83 + 1409.85i 1.15738 + 0.321345i
\(269\) 532.229 404.590i 0.120634 0.0917036i −0.543118 0.839657i \(-0.682756\pi\)
0.663752 + 0.747953i \(0.268963\pi\)
\(270\) −6322.24 + 11755.0i −1.42503 + 2.64959i
\(271\) 174.427 + 628.229i 0.0390985 + 0.140820i 0.980523 0.196403i \(-0.0629261\pi\)
−0.941425 + 0.337223i \(0.890512\pi\)
\(272\) −1379.76 1456.60i −0.307575 0.324703i
\(273\) −1538.24 1690.51i −0.341019 0.374777i
\(274\) 5285.98 8785.37i 1.16547 1.93702i
\(275\) 14719.9 + 6810.15i 3.22780 + 1.49334i
\(276\) 402.449 35.6238i 0.0877703 0.00776920i
\(277\) 203.989 + 193.228i 0.0442472 + 0.0419132i 0.709504 0.704702i \(-0.248919\pi\)
−0.665256 + 0.746615i \(0.731678\pi\)
\(278\) 1451.11 2140.22i 0.313063 0.461734i
\(279\) −1807.78 1334.51i −0.387918 0.286361i
\(280\) 783.976 + 7208.54i 0.167327 + 1.53854i
\(281\) 3970.11 + 6598.38i 0.842836 + 1.40081i 0.915018 + 0.403414i \(0.132176\pi\)
−0.0721813 + 0.997392i \(0.522996\pi\)
\(282\) −959.344 + 3204.64i −0.202582 + 0.676715i
\(283\) 441.859 + 1311.39i 0.0928121 + 0.275456i 0.983997 0.178183i \(-0.0570219\pi\)
−0.891185 + 0.453639i \(0.850125\pi\)
\(284\) 915.482 + 4159.08i 0.191281 + 0.868999i
\(285\) −1276.80 6409.92i −0.265373 1.33225i
\(286\) −3209.54 2726.21i −0.663581 0.563651i
\(287\) −8915.36 1461.60i −1.83365 0.300611i
\(288\) 6096.34 1087.79i 1.24733 0.222564i
\(289\) 714.742 + 1793.87i 0.145480 + 0.365127i
\(290\) −18236.6 6144.64i −3.69273 1.24423i
\(291\) −2369.08 + 1195.81i −0.477244 + 0.240892i
\(292\) −2317.63 5009.47i −0.464483 1.00396i
\(293\) −8260.01 447.845i −1.64695 0.0892948i −0.792852 0.609414i \(-0.791405\pi\)
−0.854094 + 0.520119i \(0.825888\pi\)
\(294\) 1752.96 + 2700.40i 0.347737 + 0.535682i
\(295\) 3262.50 9211.31i 0.643900 1.81798i
\(296\) 5071.58i 0.995876i
\(297\) 683.978 + 6658.34i 0.133631 + 1.30086i
\(298\) −2799.97 + 1295.41i −0.544289 + 0.251815i
\(299\) 14.6673 134.863i 0.00283689 0.0260848i
\(300\) −5026.55 19621.4i −0.967360 3.77615i
\(301\) −7059.61 + 2812.80i −1.35186 + 0.538629i
\(302\) −3315.02 + 2247.64i −0.631648 + 0.428268i
\(303\) −4698.61 + 2060.51i −0.890851 + 0.390670i
\(304\) −915.859 + 1078.23i −0.172790 + 0.203424i
\(305\) −3552.81 + 8916.87i −0.666994 + 1.67403i
\(306\) −9653.60 1982.86i −1.80346 0.370432i
\(307\) −5078.27 + 1711.07i −0.944078 + 0.318097i −0.748909 0.662673i \(-0.769422\pi\)
−0.195169 + 0.980770i \(0.562526\pi\)
\(308\) 7786.80 + 9167.33i 1.44057 + 1.69596i
\(309\) 1607.35 3299.07i 0.295920 0.607371i
\(310\) 7871.08 856.031i 1.44209 0.156837i
\(311\) 1377.38 6257.50i 0.251138 1.14093i −0.667119 0.744951i \(-0.732473\pi\)
0.918258 0.395983i \(-0.129596\pi\)
\(312\) −31.8643 + 1589.55i −0.00578193 + 0.288432i
\(313\) 5288.66 5583.17i 0.955056 1.00824i −0.0449007 0.998991i \(-0.514297\pi\)
0.999957 0.00924941i \(-0.00294422\pi\)
\(314\) 571.853 + 303.177i 0.102776 + 0.0544881i
\(315\) −8423.58 9638.63i −1.50671 1.72405i
\(316\) −4734.37 2848.57i −0.842813 0.507104i
\(317\) −8813.24 + 1444.86i −1.56152 + 0.255998i −0.879701 0.475526i \(-0.842258\pi\)
−0.681816 + 0.731524i \(0.738809\pi\)
\(318\) 1309.15 5427.03i 0.230860 0.957021i
\(319\) −9298.67 + 2581.76i −1.63205 + 0.453138i
\(320\) −10673.3 + 14040.5i −1.86454 + 2.45277i
\(321\) 855.609 2380.58i 0.148771 0.413928i
\(322\) −175.985 + 633.840i −0.0304573 + 0.109697i
\(323\) 4263.66 2260.45i 0.734478 0.389396i
\(324\) 5904.38 5917.08i 1.01241 1.01459i
\(325\) −6791.06 + 368.200i −1.15908 + 0.0628433i
\(326\) 748.800 + 1412.39i 0.127215 + 0.239953i
\(327\) −286.408 909.905i −0.0484355 0.153877i
\(328\) 3803.12 + 5002.92i 0.640220 + 0.842194i
\(329\) −2554.00 1941.50i −0.427984 0.325345i
\(330\) −17665.8 15625.6i −2.94687 2.60655i
\(331\) −45.5243 + 43.1229i −0.00755964 + 0.00716087i −0.691470 0.722405i \(-0.743037\pi\)
0.683910 + 0.729566i \(0.260278\pi\)
\(332\) 1052.16 + 6417.91i 0.173930 + 1.06093i
\(333\) 5128.25 + 7339.01i 0.843924 + 1.20773i
\(334\) −126.725 + 273.911i −0.0207607 + 0.0448734i
\(335\) 4642.01 8755.76i 0.757075 1.42799i
\(336\) −502.970 + 2724.73i −0.0816644 + 0.442399i
\(337\) −6100.89 4136.50i −0.986162 0.668634i −0.0423447 0.999103i \(-0.513483\pi\)
−0.943817 + 0.330469i \(0.892793\pi\)
\(338\) −7742.17 1704.18i −1.24591 0.274246i
\(339\) 3681.28 + 4514.27i 0.589793 + 0.723250i
\(340\) 17526.6 10545.4i 2.79563 1.68208i
\(341\) 3026.12 2570.41i 0.480567 0.408197i
\(342\) −653.988 + 6918.15i −0.103402 + 1.09383i
\(343\) 4349.79 957.460i 0.684742 0.150723i
\(344\) 4910.68 + 1956.59i 0.769669 + 0.306664i
\(345\) 97.2673 753.519i 0.0151788 0.117589i
\(346\) −292.392 + 1783.51i −0.0454309 + 0.277116i
\(347\) 619.364 + 913.493i 0.0958190 + 0.141322i 0.872577 0.488477i \(-0.162447\pi\)
−0.776758 + 0.629799i \(0.783137\pi\)
\(348\) 9837.71 + 6961.96i 1.51539 + 1.07241i
\(349\) 744.888 2210.75i 0.114249 0.339079i −0.875240 0.483690i \(-0.839296\pi\)
0.989489 + 0.144610i \(0.0461929\pi\)
\(350\) 32785.3 + 3565.62i 5.00699 + 0.544543i
\(351\) −1561.21 2332.44i −0.237410 0.354691i
\(352\) −592.407 + 10926.3i −0.0897029 + 1.65447i
\(353\) 5684.20 0.857052 0.428526 0.903529i \(-0.359033\pi\)
0.428526 + 0.903529i \(0.359033\pi\)
\(354\) −6131.68 + 8387.40i −0.920608 + 1.25928i
\(355\) 8008.44 1.19731
\(356\) 821.445 15150.7i 0.122294 2.25557i
\(357\) 5034.13 7999.36i 0.746315 1.18591i
\(358\) 9544.39 + 1038.02i 1.40904 + 0.153242i
\(359\) −1646.44 + 4886.46i −0.242049 + 0.718377i 0.755919 + 0.654665i \(0.227190\pi\)
−0.997968 + 0.0637120i \(0.979706\pi\)
\(360\) −356.848 + 8897.10i −0.0522431 + 1.30255i
\(361\) 1939.61 + 2860.71i 0.282783 + 0.417073i
\(362\) 234.733 1431.81i 0.0340809 0.207884i
\(363\) −4870.70 628.730i −0.704258 0.0909085i
\(364\) −4685.47 1866.86i −0.674685 0.268819i
\(365\) −10137.1 + 2231.33i −1.45369 + 0.319982i
\(366\) 6337.59 7998.98i 0.905113 1.14239i
\(367\) 9520.86 8087.09i 1.35418 1.15025i 0.379873 0.925039i \(-0.375968\pi\)
0.974309 0.225214i \(-0.0723081\pi\)
\(368\) −140.914 + 84.7851i −0.0199610 + 0.0120101i
\(369\) −10562.3 3394.03i −1.49011 0.478824i
\(370\) −30809.9 6781.77i −4.32900 0.952885i
\(371\) 4431.52 + 3004.65i 0.620143 + 0.420468i
\(372\) −4876.11 900.102i −0.679608 0.125452i
\(373\) −3866.11 + 7292.26i −0.536675 + 1.01228i 0.455830 + 0.890067i \(0.349343\pi\)
−0.992504 + 0.122209i \(0.961002\pi\)
\(374\) 7311.95 15804.5i 1.01094 2.18511i
\(375\) −24070.4 + 821.649i −3.31464 + 0.113146i
\(376\) 361.035 + 2202.22i 0.0495185 + 0.302049i
\(377\) 2937.87 2782.90i 0.401348 0.380177i
\(378\) 5640.88 + 12385.9i 0.767554 + 1.68535i
\(379\) 7065.88 + 5371.34i 0.957651 + 0.727987i 0.962297 0.272002i \(-0.0876857\pi\)
−0.00464567 + 0.999989i \(0.501479\pi\)
\(380\) −8728.30 11481.9i −1.17830 1.55002i
\(381\) 6001.18 1888.97i 0.806955 0.254003i
\(382\) −1613.71 3043.77i −0.216137 0.407678i
\(383\) −2329.84 + 126.320i −0.310834 + 0.0168529i −0.208896 0.977938i \(-0.566987\pi\)
−0.101938 + 0.994791i \(0.532504\pi\)
\(384\) 7448.21 5429.93i 0.989817 0.721601i
\(385\) 19984.1 10594.9i 2.64542 1.40251i
\(386\) 2201.31 7928.40i 0.290269 1.04545i
\(387\) −9084.63 + 2134.20i −1.19328 + 0.280329i
\(388\) −3543.98 + 4662.02i −0.463706 + 0.609995i
\(389\) 211.410 58.6976i 0.0275550 0.00765061i −0.253723 0.967277i \(-0.581655\pi\)
0.281278 + 0.959626i \(0.409242\pi\)
\(390\) 9613.94 + 2319.14i 1.24826 + 0.301114i
\(391\) 553.594 90.7571i 0.0716022 0.0117386i
\(392\) 1840.33 + 1107.29i 0.237119 + 0.142670i
\(393\) 1321.94 + 9216.98i 0.169677 + 1.18304i
\(394\) −11975.8 6349.15i −1.53130 0.811842i
\(395\) −7145.44 + 7543.35i −0.910193 + 0.960879i
\(396\) 7792.36 + 12547.7i 0.988841 + 1.59228i
\(397\) −566.907 + 2575.49i −0.0716681 + 0.325592i −0.998791 0.0491669i \(-0.984343\pi\)
0.927122 + 0.374759i \(0.122274\pi\)
\(398\) 936.407 101.840i 0.117934 0.0128261i
\(399\) −5991.18 2918.98i −0.751714 0.366246i
\(400\) 5337.48 + 6283.77i 0.667185 + 0.785471i
\(401\) 11917.4 4015.45i 1.48411 0.500055i 0.543461 0.839434i \(-0.317114\pi\)
0.940650 + 0.339379i \(0.110217\pi\)
\(402\) −7397.87 + 7502.76i −0.917842 + 0.930855i
\(403\) −616.247 + 1546.66i −0.0761723 + 0.191178i
\(404\) −7329.51 + 8628.97i −0.902616 + 1.06264i
\(405\) −8480.14 13235.7i −1.04045 1.62392i
\(406\) −16241.4 + 11011.9i −1.98534 + 1.34609i
\(407\) −14696.7 + 5855.70i −1.78990 + 0.713160i
\(408\) −6368.88 + 1631.56i −0.772810 + 0.197976i
\(409\) −1196.28 + 10999.6i −0.144627 + 1.32982i 0.666744 + 0.745287i \(0.267688\pi\)
−0.811370 + 0.584532i \(0.801278\pi\)
\(410\) 35478.3 16414.0i 4.27354 1.97715i
\(411\) 6016.74 + 10469.3i 0.722102 + 1.25648i
\(412\) 8098.22i 0.968376i
\(413\) −5464.10 8332.47i −0.651018 0.992770i
\(414\) −328.830 + 737.839i −0.0390365 + 0.0875913i
\(415\) 12212.1 + 662.123i 1.44451 + 0.0783189i
\(416\) −1926.63 4164.34i −0.227069 0.490802i
\(417\) 1372.23 + 2718.61i 0.161148 + 0.319259i
\(418\) −11636.1 3920.66i −1.36158 0.458769i
\(419\) 5948.04 + 14928.5i 0.693510 + 1.74058i 0.671706 + 0.740818i \(0.265562\pi\)
0.0218045 + 0.999762i \(0.493059\pi\)
\(420\) −26026.6 10979.4i −3.02374 1.27557i
\(421\) 8971.08 + 1470.73i 1.03854 + 0.170259i 0.656841 0.754029i \(-0.271892\pi\)
0.381695 + 0.924288i \(0.375341\pi\)
\(422\) −439.814 373.582i −0.0507342 0.0430940i
\(423\) −2749.28 2821.73i −0.316015 0.324343i
\(424\) −800.619 3637.25i −0.0917016 0.416605i
\(425\) −8980.05 26651.8i −1.02493 3.04189i
\(426\) −8157.00 2441.89i −0.927718 0.277723i
\(427\) 5045.95 + 8386.43i 0.571875 + 0.950463i
\(428\) −603.548 5549.54i −0.0681626 0.626745i
\(429\) 4643.09 1742.98i 0.522542 0.196158i
\(430\) 18452.9 27216.1i 2.06949 3.05227i
\(431\) 7157.44 + 6779.88i 0.799911 + 0.757716i 0.973887 0.227034i \(-0.0729029\pi\)
−0.173976 + 0.984750i \(0.555662\pi\)
\(432\) −1105.63 + 3217.84i −0.123136 + 0.358376i
\(433\) 9539.89 + 4413.62i 1.05879 + 0.489850i 0.870452 0.492253i \(-0.163827\pi\)
0.188342 + 0.982104i \(0.439689\pi\)
\(434\) 4162.20 6917.62i 0.460350 0.765107i
\(435\) 16762.9 15253.0i 1.84764 1.68121i
\(436\) −1447.62 1528.24i −0.159011 0.167865i
\(437\) −105.823 381.139i −0.0115840 0.0417217i
\(438\) 11005.5 + 818.205i 1.20060 + 0.0892588i
\(439\) −11294.5 + 8585.85i −1.22792 + 0.933440i −0.999198 0.0400515i \(-0.987248\pi\)
−0.228722 + 0.973492i \(0.573455\pi\)
\(440\) −15160.3 4209.24i −1.64259 0.456063i
\(441\) −3782.78 + 258.553i −0.408464 + 0.0279185i
\(442\) 395.331 + 7291.45i 0.0425429 + 0.784658i
\(443\) 28.7694 + 530.620i 0.00308549 + 0.0569086i 0.999671 0.0256626i \(-0.00816957\pi\)
−0.996585 + 0.0825712i \(0.973687\pi\)
\(444\) 17266.8 + 9602.44i 1.84559 + 1.02638i
\(445\) −27492.9 7633.36i −2.92874 0.813160i
\(446\) −10780.5 + 8195.13i −1.14456 + 0.870068i
\(447\) 269.381 3623.37i 0.0285040 0.383400i
\(448\) 4811.14 + 17328.2i 0.507377 + 1.82741i
\(449\) 9717.14 + 10258.3i 1.02134 + 1.07821i 0.996913 + 0.0785106i \(0.0250164\pi\)
0.0244236 + 0.999702i \(0.492225\pi\)
\(450\) 39170.1 + 10283.8i 4.10333 + 1.07730i
\(451\) 10106.6 16797.3i 1.05521 1.75378i
\(452\) 11666.1 + 5397.30i 1.21400 + 0.561654i
\(453\) −415.902 4698.53i −0.0431364 0.487321i
\(454\) 13190.4 + 12494.6i 1.36356 + 1.29163i
\(455\) −5322.71 + 7850.41i −0.548423 + 0.808863i
\(456\) 1629.23 + 4340.07i 0.167315 + 0.445707i
\(457\) 953.259 + 8765.07i 0.0975746 + 0.897183i 0.935960 + 0.352106i \(0.114534\pi\)
−0.838386 + 0.545077i \(0.816500\pi\)
\(458\) 3742.77 + 6220.53i 0.381852 + 0.634643i
\(459\) 7566.52 8801.05i 0.769444 0.894985i
\(460\) −535.341 1588.84i −0.0542618 0.161043i
\(461\) 3080.31 + 13994.0i 0.311203 + 1.41381i 0.829451 + 0.558579i \(0.188653\pi\)
−0.518248 + 0.855230i \(0.673416\pi\)
\(462\) −23585.4 + 4698.01i −2.37509 + 0.473098i
\(463\) −6350.58 5394.23i −0.637444 0.541450i 0.269340 0.963045i \(-0.413194\pi\)
−0.906784 + 0.421595i \(0.861470\pi\)
\(464\) −4841.03 793.647i −0.484352 0.0794054i
\(465\) −3624.27 + 8591.34i −0.361444 + 0.856804i
\(466\) −7477.19 18766.3i −0.743293 1.86552i
\(467\) −987.449 332.710i −0.0978452 0.0329679i 0.269953 0.962873i \(-0.412992\pi\)
−0.367798 + 0.929906i \(0.619888\pi\)
\(468\) −5351.48 3118.12i −0.528573 0.307981i
\(469\) −4243.04 9171.17i −0.417751 0.902954i
\(470\) 13861.3 + 751.536i 1.36037 + 0.0737570i
\(471\) −639.371 + 415.047i −0.0625492 + 0.0406037i
\(472\) −1226.57 + 6821.77i −0.119613 + 0.665248i
\(473\) 16489.6i 1.60294i
\(474\) 9578.06 5504.54i 0.928133 0.533400i
\(475\) −17997.8 + 8326.67i −1.73852 + 0.804324i
\(476\) 2255.03 20734.7i 0.217141 1.99658i
\(477\) 4836.46 + 4453.84i 0.464248 + 0.427521i
\(478\) −23869.2 + 9510.35i −2.28400 + 0.910028i
\(479\) 8161.58 5533.69i 0.778522 0.527851i −0.105991 0.994367i \(-0.533801\pi\)
0.884513 + 0.466516i \(0.154491\pi\)
\(480\) −10320.7 23534.4i −0.981402 2.23790i
\(481\) 4294.68 5056.09i 0.407111 0.479289i
\(482\) 6567.11 16482.2i 0.620588 1.55756i
\(483\) −551.651 543.939i −0.0519689 0.0512424i
\(484\) −10270.1 + 3460.41i −0.964514 + 0.324983i
\(485\) 7129.36 + 8393.33i 0.667480 + 0.785818i
\(486\) 4601.70 + 16066.9i 0.429500 + 1.49961i
\(487\) 2405.45 261.609i 0.223822 0.0243422i 0.00447943 0.999990i \(-0.498574\pi\)
0.219343 + 0.975648i \(0.429609\pi\)
\(488\) 1463.55 6648.99i 0.135762 0.616774i
\(489\) −1882.31 37.7331i −0.174072 0.00348947i
\(490\) 9187.71 9699.35i 0.847058 0.894229i
\(491\) 12500.4 + 6627.29i 1.14895 + 0.609135i 0.930348 0.366679i \(-0.119505\pi\)
0.218603 + 0.975814i \(0.429850\pi\)
\(492\) −24233.8 + 3475.71i −2.22061 + 0.318490i
\(493\) 14338.7 + 8627.32i 1.30991 + 0.788144i
\(494\) 5081.02 832.991i 0.462765 0.0758665i
\(495\) 26194.5 9238.60i 2.37850 0.838877i
\(496\) 1944.75 539.957i 0.176052 0.0488806i
\(497\) 4941.85 6500.89i 0.446020 0.586730i
\(498\) −12236.8 4398.06i −1.10109 0.395747i
\(499\) 2671.49 9621.85i 0.239664 0.863193i −0.741651 0.670786i \(-0.765957\pi\)
0.981315 0.192407i \(-0.0616293\pi\)
\(500\) −46956.5 + 24894.8i −4.19992 + 2.22666i
\(501\) −209.388 287.216i −0.0186722 0.0256125i
\(502\) 24661.3 1337.10i 2.19260 0.118880i
\(503\) −1013.39 1911.47i −0.0898311 0.169439i 0.834525 0.550970i \(-0.185742\pi\)
−0.924356 + 0.381530i \(0.875397\pi\)
\(504\) 7002.06 + 5779.89i 0.618842 + 0.510827i
\(505\) 12884.5 + 16949.3i 1.13536 + 1.49353i
\(506\) −1136.32 863.811i −0.0998335 0.0758915i
\(507\) 6185.60 6993.22i 0.541839 0.612583i
\(508\) 10079.3 9547.66i 0.880312 0.833876i
\(509\) −1262.79 7702.66i −0.109965 0.670755i −0.983071 0.183225i \(-0.941346\pi\)
0.873106 0.487530i \(-0.162102\pi\)
\(510\) 1395.20 + 40872.7i 0.121138 + 3.54877i
\(511\) −4444.08 + 9605.72i −0.384725 + 0.831569i
\(512\) −3995.40 + 7536.13i −0.344870 + 0.650494i
\(513\) −6746.21 4633.02i −0.580609 0.398738i
\(514\) 12473.9 + 8457.50i 1.07043 + 0.725767i
\(515\) −14872.8 3273.75i −1.27257 0.280114i
\(516\) −15959.2 + 13014.4i −1.36156 + 1.11032i
\(517\) 5964.85 3588.93i 0.507415 0.305302i
\(518\) −24517.3 + 20825.2i −2.07959 + 1.76642i
\(519\) −1668.33 1321.81i −0.141101 0.111794i
\(520\) 6443.35 1418.29i 0.543384 0.119608i
\(521\) −6038.54 2405.97i −0.507780 0.202318i 0.102157 0.994768i \(-0.467426\pi\)
−0.609936 + 0.792450i \(0.708805\pi\)
\(522\) −21724.8 + 10424.7i −1.82158 + 0.874095i
\(523\) 1235.23 7534.60i 0.103275 0.629952i −0.883572 0.468296i \(-0.844868\pi\)
0.986847 0.161656i \(-0.0516836\pi\)
\(524\) 11530.9 + 17006.9i 0.961320 + 1.41784i
\(525\) −22436.0 + 31703.5i −1.86512 + 2.63553i
\(526\) 2229.24 6616.16i 0.184790 0.548438i
\(527\) −6844.48 744.382i −0.565750 0.0615290i
\(528\) −5088.43 3202.23i −0.419404 0.263938i
\(529\) −656.219 + 12103.2i −0.0539343 + 0.994760i
\(530\) −23166.9 −1.89869
\(531\) −5123.05 11112.0i −0.418684 0.908132i
\(532\) −14706.5 −1.19851
\(533\) −445.034 + 8208.17i −0.0361662 + 0.667046i
\(534\) 25675.4 + 16157.9i 2.08068 + 1.30940i
\(535\) −10436.0 1134.98i −0.843340 0.0917188i
\(536\) −2244.42 + 6661.20i −0.180866 + 0.536791i
\(537\) −6531.53 + 9229.47i −0.524872 + 0.741678i
\(538\) 1655.33 + 2441.43i 0.132651 + 0.195646i
\(539\) 1083.90 6611.51i 0.0866177 0.528345i
\(540\) −29615.5 18060.5i −2.36009 1.43926i
\(541\) 1244.93 + 496.024i 0.0989345 + 0.0394191i 0.419080 0.907949i \(-0.362353\pi\)
−0.320146 + 0.947368i \(0.603732\pi\)
\(542\) −2809.40 + 618.395i −0.222646 + 0.0490080i
\(543\) 1339.34 + 1061.16i 0.105850 + 0.0838648i
\(544\) 14461.5 12283.7i 1.13977 0.968125i
\(545\) −3391.90 + 2040.84i −0.266592 + 0.160403i
\(546\) 7815.15 6373.06i 0.612559 0.499527i
\(547\) 9120.09 + 2007.48i 0.712882 + 0.156917i 0.556582 0.830792i \(-0.312112\pi\)
0.156300 + 0.987710i \(0.450043\pi\)
\(548\) 22054.9 + 14953.6i 1.71923 + 1.16567i
\(549\) 4605.41 + 11101.6i 0.358022 + 0.863030i
\(550\) −33518.9 + 63223.4i −2.59864 + 4.90156i
\(551\) 4954.45 10708.9i 0.383061 0.827973i
\(552\) 18.3846 + 538.582i 0.00141757 + 0.0415282i
\(553\) 1714.04 + 10455.2i 0.131806 + 0.803978i
\(554\) −900.014 + 852.538i −0.0690215 + 0.0653807i
\(555\) 24615.5 27829.4i 1.88265 2.12846i
\(556\) 5349.84 + 4066.85i 0.408065 + 0.310203i
\(557\) −6026.16 7927.28i −0.458414 0.603033i 0.507578 0.861606i \(-0.330541\pi\)
−0.965992 + 0.258573i \(0.916748\pi\)
\(558\) 6311.13 7645.62i 0.478802 0.580045i
\(559\) 3238.81 + 6109.05i 0.245058 + 0.462228i
\(560\) 11481.2 622.490i 0.866371 0.0469733i
\(561\) 12081.6 + 16572.3i 0.909243 + 1.24720i
\(562\) −30018.2 + 15914.6i −2.25310 + 1.19452i
\(563\) −6018.64 + 21677.2i −0.450542 + 1.62271i 0.294473 + 0.955660i \(0.404856\pi\)
−0.745015 + 0.667047i \(0.767558\pi\)
\(564\) −8181.27 2940.45i −0.610804 0.219531i
\(565\) 14628.5 19243.4i 1.08925 1.43288i
\(566\) −5883.02 + 1633.41i −0.436894 + 0.121303i
\(567\) −15977.1 1283.69i −1.18338 0.0950793i
\(568\) −5605.45 + 918.968i −0.414084 + 0.0678856i
\(569\) −21000.8 12635.8i −1.54727 0.930964i −0.995273 0.0971217i \(-0.969036\pi\)
−0.552002 0.833843i \(-0.686136\pi\)
\(570\) 28544.6 4093.99i 2.09755 0.300839i
\(571\) −17090.4 9060.73i −1.25255 0.664063i −0.295881 0.955225i \(-0.595613\pi\)
−0.956674 + 0.291162i \(0.905958\pi\)
\(572\) 7526.27 7945.39i 0.550156 0.580793i
\(573\) 4056.49 + 81.3169i 0.295746 + 0.00592855i
\(574\) 8568.81 38928.5i 0.623092 2.83074i
\(575\) −2291.73 + 249.241i −0.166212 + 0.0180766i
\(576\) 2696.53 + 21918.6i 0.195061 + 1.58555i
\(577\) −7280.32 8571.05i −0.525275 0.618401i 0.433987 0.900919i \(-0.357106\pi\)
−0.959262 + 0.282518i \(0.908830\pi\)
\(578\) −8073.81 + 2720.38i −0.581014 + 0.195766i
\(579\) 6900.34 + 6803.87i 0.495282 + 0.488358i
\(580\) 18511.6 46460.7i 1.32527 3.32617i
\(581\) 8073.35 9504.69i 0.576487 0.678693i
\(582\) −4702.37 10722.9i −0.334913 0.763707i
\(583\) −9615.82 + 6519.68i −0.683098 + 0.463152i
\(584\) 6839.32 2725.03i 0.484611 0.193087i
\(585\) −7889.94 + 8567.75i −0.557622 + 0.605526i
\(586\) 3946.06 36283.4i 0.278174 2.55777i
\(587\) 22252.6 10295.1i 1.56467 0.723893i 0.569494 0.821996i \(-0.307139\pi\)
0.995176 + 0.0981024i \(0.0312773\pi\)
\(588\) −7254.35 + 4169.09i −0.508783 + 0.292399i
\(589\) 4854.59i 0.339610i
\(590\) 39802.1 + 16573.6i 2.77733 + 1.15648i
\(591\) 13389.7 8691.92i 0.931947 0.604971i
\(592\) −8030.24 435.387i −0.557501 0.0302268i
\(593\) −6021.46 13015.2i −0.416985 0.901297i −0.996280 0.0861795i \(-0.972534\pi\)
0.579295 0.815118i \(-0.303328\pi\)
\(594\) −29497.4 + 1422.89i −2.03753 + 0.0982863i
\(595\) −37168.7 12523.6i −2.56096 0.862886i
\(596\) −2967.70 7448.38i −0.203963 0.511908i
\(597\) −431.173 + 1022.10i −0.0295590 + 0.0700696i
\(598\) 590.652 + 96.8325i 0.0403906 + 0.00662169i
\(599\) 11702.8 + 9940.45i 0.798270 + 0.678057i 0.950650 0.310265i \(-0.100418\pi\)
−0.152380 + 0.988322i \(0.548694\pi\)
\(600\) 26496.2 5277.81i 1.80283 0.359110i
\(601\) −2075.29 9428.12i −0.140853 0.639902i −0.993150 0.116844i \(-0.962722\pi\)
0.852297 0.523058i \(-0.175209\pi\)
\(602\) −10705.8 31773.7i −0.724812 2.15116i
\(603\) −3487.78 11908.8i −0.235544 0.804254i
\(604\) −5366.34 8918.93i −0.361512 0.600838i
\(605\) 2203.47 + 20260.5i 0.148072 + 1.36150i
\(606\) −7955.46 21192.4i −0.533282 1.42060i
\(607\) −13596.5 + 20053.3i −0.909168 + 1.34092i 0.0307512 + 0.999527i \(0.490210\pi\)
−0.939920 + 0.341396i \(0.889100\pi\)
\(608\) −9713.13 9200.77i −0.647894 0.613718i
\(609\) −2037.65 23019.7i −0.135582 1.53170i
\(610\) −38435.6 17782.2i −2.55117 1.18030i
\(611\) −1504.93 + 2501.22i −0.0996451 + 0.165611i
\(612\) 6503.90 24772.7i 0.429583 1.63624i
\(613\) 18177.7 + 19190.0i 1.19770 + 1.26440i 0.955774 + 0.294102i \(0.0950207\pi\)
0.241927 + 0.970295i \(0.422221\pi\)
\(614\) −6325.27 22781.6i −0.415745 1.49738i
\(615\) −3413.31 + 45911.6i −0.223802 + 3.01030i
\(616\) −12772.0 + 9709.01i −0.835386 + 0.635044i
\(617\) 8859.46 + 2459.82i 0.578069 + 0.160500i 0.544243 0.838928i \(-0.316817\pi\)
0.0338259 + 0.999428i \(0.489231\pi\)
\(618\) 14150.5 + 7869.41i 0.921061 + 0.512223i
\(619\) 813.071 + 14996.2i 0.0527950 + 0.973746i 0.898191 + 0.439606i \(0.144882\pi\)
−0.845396 + 0.534140i \(0.820635\pi\)
\(620\) 1113.99 + 20546.4i 0.0721598 + 1.33091i
\(621\) −571.205 760.784i −0.0369109 0.0491614i
\(622\) 27239.1 + 7562.90i 1.75593 + 0.487532i
\(623\) −23161.7 + 17607.1i −1.48949 + 1.13228i
\(624\) 2514.13 + 186.914i 0.161291 + 0.0119913i
\(625\) 15369.6 + 55356.4i 0.983655 + 3.54281i
\(626\) 23334.0 + 24633.4i 1.48980 + 1.57276i
\(627\) 10695.8 9732.37i 0.681257 0.619894i
\(628\) −867.224 + 1441.34i −0.0551051 + 0.0915854i
\(629\) 24897.4 + 11518.7i 1.57826 + 0.730179i
\(630\) 44476.1 34808.6i 2.81265 2.20129i
\(631\) −17427.2 16507.9i −1.09947 1.04148i −0.998916 0.0465438i \(-0.985179\pi\)
−0.100556 0.994931i \(-0.532062\pi\)
\(632\) 4135.80 6099.86i 0.260306 0.383923i
\(633\) 636.258 238.846i 0.0399510 0.0149973i
\(634\) −4260.30 39172.8i −0.266874 2.45387i
\(635\) −13460.1 22370.9i −0.841179 1.39805i
\(636\) 13899.3 + 4160.91i 0.866577 + 0.259419i
\(637\) 897.042 + 2662.33i 0.0557961 + 0.165597i
\(638\) −9153.11 41583.0i −0.567986 2.58039i
\(639\) 7182.34 6997.92i 0.444646 0.433229i
\(640\) −29152.7 24762.5i −1.80056 1.52941i
\(641\) 13552.4 + 2221.80i 0.835079 + 0.136904i 0.564127 0.825688i \(-0.309213\pi\)
0.270953 + 0.962593i \(0.412661\pi\)
\(642\) 10283.5 + 4338.12i 0.632177 + 0.266685i
\(643\) −2692.87 6758.61i −0.165158 0.414515i 0.822983 0.568066i \(-0.192308\pi\)
−0.988141 + 0.153551i \(0.950929\pi\)
\(644\) −1620.09 545.873i −0.0991314 0.0334013i
\(645\) 17450.0 + 34571.1i 1.06526 + 2.11044i
\(646\) 8940.22 + 19324.0i 0.544502 + 1.17692i
\(647\) 4510.96 + 244.577i 0.274102 + 0.0148614i 0.190678 0.981653i \(-0.438931\pi\)
0.0834246 + 0.996514i \(0.473414\pi\)
\(648\) 7454.41 + 8291.15i 0.451909 + 0.502634i
\(649\) 21184.7 4322.06i 1.28131 0.261411i
\(650\) 30006.7i 1.81071i
\(651\) 4737.60 + 8243.57i 0.285224 + 0.496299i
\(652\) −3770.59 + 1744.46i −0.226484 + 0.104783i
\(653\) −1419.28 + 13050.0i −0.0850545 + 0.782063i 0.871477 + 0.490435i \(0.163162\pi\)
−0.956532 + 0.291627i \(0.905803\pi\)
\(654\) 4077.10 1044.46i 0.243772 0.0624488i
\(655\) 35895.4 14302.0i 2.14130 0.853171i
\(656\) 8248.01 5592.29i 0.490901 0.332839i
\(657\) −7141.60 + 10859.1i −0.424079 + 0.644831i
\(658\) 9163.57 10788.2i 0.542908 0.639160i
\(659\) 3833.69 9621.82i 0.226615 0.568760i −0.771071 0.636749i \(-0.780279\pi\)
0.997686 + 0.0679885i \(0.0216581\pi\)
\(660\) 43035.1 43645.3i 2.53809 2.57408i
\(661\) −19581.5 + 6597.76i −1.15224 + 0.388235i −0.829639 0.558300i \(-0.811454\pi\)
−0.322601 + 0.946535i \(0.604557\pi\)
\(662\) −179.108 210.863i −0.0105155 0.0123798i
\(663\) −7731.05 3766.68i −0.452865 0.220642i
\(664\) −8623.79 + 937.894i −0.504018 + 0.0548153i
\(665\) −5945.19 + 27009.3i −0.346684 + 1.57500i
\(666\) −33557.8 + 20840.0i −1.95246 + 1.21252i
\(667\) 943.279 995.807i 0.0547585 0.0578078i
\(668\) −692.985 367.398i −0.0401383 0.0212800i
\(669\) −2264.20 15786.7i −0.130851 0.912332i
\(670\) 37465.6 + 22542.3i 2.16033 + 1.29983i
\(671\) −20957.7 + 3435.83i −1.20575 + 0.197673i
\(672\) −25472.9 6144.74i −1.46226 0.352736i
\(673\) −9068.55 + 2517.87i −0.519416 + 0.144215i −0.517335 0.855783i \(-0.673076\pi\)
−0.00208037 + 0.999998i \(0.500662\pi\)
\(674\) 19681.1 25890.1i 1.12476 1.47960i
\(675\) −33005.4 + 34429.7i −1.88204 + 1.96326i
\(676\) 5511.78 19851.7i 0.313597 1.12948i
\(677\) 18342.1 9724.34i 1.04127 0.552048i 0.142197 0.989838i \(-0.454583\pi\)
0.899077 + 0.437790i \(0.144239\pi\)
\(678\) −20767.5 + 15140.0i −1.17636 + 0.857593i
\(679\) 11212.7 607.936i 0.633733 0.0343600i
\(680\) 12779.5 + 24104.7i 0.720693 + 1.35937i
\(681\) −20410.2 + 6424.46i −1.14849 + 0.361506i
\(682\) 10601.4 + 13945.9i 0.595231 + 0.783013i
\(683\) −21153.2 16080.2i −1.18507 0.900868i −0.188377 0.982097i \(-0.560323\pi\)
−0.996696 + 0.0812284i \(0.974116\pi\)
\(684\) −17861.0 2670.53i −0.998440 0.149284i
\(685\) 36378.8 34459.8i 2.02914 1.92210i
\(686\) 3179.18 + 19392.2i 0.176941 + 1.07929i
\(687\) −8544.86 + 291.681i −0.474537 + 0.0161984i
\(688\) 3519.61 7607.51i 0.195035 0.421560i
\(689\) 2281.90 4304.11i 0.126173 0.237988i
\(690\) 3296.48 + 608.511i 0.181876 + 0.0335734i
\(691\) −11637.9 7890.67i −0.640702 0.434407i 0.197098 0.980384i \(-0.436848\pi\)
−0.837800 + 0.545977i \(0.816159\pi\)
\(692\) −4587.19 1009.72i −0.251992 0.0554677i
\(693\) 8664.64 26964.5i 0.474953 1.47806i
\(694\) −4172.44 + 2510.47i −0.228218 + 0.137314i
\(695\) 9631.67 8181.21i 0.525683 0.446520i
\(696\) −9982.82 + 12599.8i −0.543675 + 0.686199i
\(697\) −33198.1 + 7307.45i −1.80411 + 0.397115i
\(698\) 9561.77 + 3809.76i 0.518508 + 0.206592i
\(699\) 23595.3 + 3045.77i 1.27676 + 0.164809i
\(700\) −13865.9 + 84578.3i −0.748688 + 4.56680i
\(701\) 1672.05 + 2466.09i 0.0900891 + 0.132872i 0.870063 0.492941i \(-0.164078\pi\)
−0.779974 + 0.625812i \(0.784768\pi\)
\(702\) 10648.7 6320.93i 0.572522 0.339840i
\(703\) 6176.33 18330.7i 0.331358 0.983436i
\(704\) −38793.4 4219.04i −2.07682 0.225868i
\(705\) −8707.61 + 13836.6i −0.465174 + 0.739173i
\(706\) −1357.76 + 25042.4i −0.0723794 + 1.33496i
\(707\) 21709.5 1.15484
\(708\) −20903.1 17092.2i −1.10959 0.907295i
\(709\) −23426.0 −1.24088 −0.620439 0.784255i \(-0.713046\pi\)
−0.620439 + 0.784255i \(0.713046\pi\)
\(710\) −1912.94 + 35282.1i −0.101114 + 1.86495i
\(711\) 183.160 + 13009.0i 0.00966112 + 0.686184i
\(712\) 20119.4 + 2188.12i 1.05900 + 0.115173i
\(713\) −180.192 + 534.790i −0.00946455 + 0.0280898i
\(714\) 34039.6 + 24089.2i 1.78417 + 1.26263i
\(715\) −11549.6 17034.3i −0.604097 0.890976i
\(716\) −4036.61 + 24622.3i −0.210692 + 1.28516i
\(717\) 3873.96 30011.2i 0.201779 1.56316i
\(718\) −21134.6 8420.77i −1.09852 0.437689i
\(719\) 24595.9 5413.97i 1.27576 0.280817i 0.475100 0.879932i \(-0.342412\pi\)
0.800663 + 0.599115i \(0.204481\pi\)
\(720\) 14056.9 + 1328.83i 0.727595 + 0.0687812i
\(721\) −11835.2 + 10052.9i −0.611325 + 0.519264i
\(722\) −13066.5 + 7861.83i −0.673522 + 0.405245i
\(723\) 13205.4 + 16193.5i 0.679274 + 0.832979i
\(724\) 3682.61 + 810.603i 0.189037 + 0.0416102i
\(725\) −56916.2 38590.1i −2.91561 1.97683i
\(726\) 3933.38 21308.2i 0.201076 1.08929i
\(727\) 3972.69 7493.28i 0.202667 0.382270i −0.761256 0.648451i \(-0.775417\pi\)
0.963923 + 0.266181i \(0.0857619\pi\)
\(728\) 2824.76 6105.62i 0.143808 0.310837i
\(729\) −19171.0 4460.28i −0.973987 0.226606i
\(730\) −7409.00 45192.9i −0.375643 2.29132i
\(731\) −20758.6 + 19663.6i −1.05032 + 0.994917i
\(732\) 19866.2 + 17571.9i 1.00311 + 0.887263i
\(733\) −1009.42 767.343i −0.0508648 0.0386664i 0.579433 0.815020i \(-0.303274\pi\)
−0.630298 + 0.776354i \(0.717067\pi\)
\(734\) 33354.4 + 43876.9i 1.67729 + 2.20644i
\(735\) 4724.13 + 15008.4i 0.237078 + 0.753186i
\(736\) −728.502 1374.10i −0.0364850 0.0688179i
\(737\) 21894.6 1187.09i 1.09430 0.0593313i
\(738\) 17475.7 45722.5i 0.871667 2.28058i
\(739\) 4915.15 2605.85i 0.244664 0.129713i −0.341565 0.939858i \(-0.610957\pi\)
0.586229 + 0.810146i \(0.300612\pi\)
\(740\) 21934.1 78999.4i 1.08961 3.92443i
\(741\) −2050.98 + 5706.47i −0.101680 + 0.282905i
\(742\) −14295.8 + 18805.8i −0.707300 + 0.930437i
\(743\) −17548.8 + 4872.40i −0.866491 + 0.240580i −0.672205 0.740365i \(-0.734653\pi\)
−0.194286 + 0.980945i \(0.562239\pi\)
\(744\) 1550.93 6429.34i 0.0764246 0.316816i
\(745\) −14879.0 + 2439.29i −0.731712 + 0.119958i
\(746\) −31203.4 18774.4i −1.53142 0.921423i
\(747\) 11531.0 10077.4i 0.564788 0.493590i
\(748\) 39985.0 + 21198.7i 1.95454 + 1.03623i
\(749\) −7361.17 + 7771.09i −0.359107 + 0.379105i
\(750\) 2129.72 106241.i 0.103689 5.17250i
\(751\) −5633.81 + 25594.7i −0.273743 + 1.24362i 0.616214 + 0.787579i \(0.288666\pi\)
−0.889956 + 0.456046i \(0.849265\pi\)
\(752\) 3517.94 382.599i 0.170593 0.0185531i
\(753\) −12739.7 + 26148.1i −0.616550 + 1.26546i
\(754\) 11558.6 + 13607.8i 0.558276 + 0.657253i
\(755\) −18549.4 + 6250.03i −0.894149 + 0.301274i
\(756\) −32935.9 + 12895.7i −1.58448 + 0.620389i
\(757\) 13969.6 35061.0i 0.670718 1.68337i −0.0577829 0.998329i \(-0.518403\pi\)
0.728501 0.685045i \(-0.240218\pi\)
\(758\) −25351.8 + 29846.5i −1.21480 + 1.43017i
\(759\) 1539.51 675.129i 0.0736239 0.0322867i
\(760\) 15922.7 10795.8i 0.759968 0.515271i
\(761\) 12349.4 4920.45i 0.588260 0.234384i −0.0569660 0.998376i \(-0.518143\pi\)
0.645226 + 0.763992i \(0.276763\pi\)
\(762\) 6888.61 + 26890.1i 0.327491 + 1.27838i
\(763\) −436.412 + 4012.75i −0.0207067 + 0.190395i
\(764\) 8125.83 3759.41i 0.384793 0.178024i
\(765\) −42867.1 21959.2i −2.02597 1.03783i
\(766\) 10294.5i 0.485584i
\(767\) −6999.59 + 5762.26i −0.329518 + 0.271269i
\(768\) 3630.31 + 5592.42i 0.170570 + 0.262759i
\(769\) 4745.51 + 257.294i 0.222532 + 0.0120654i 0.165068 0.986282i \(-0.447216\pi\)
0.0574644 + 0.998348i \(0.481698\pi\)
\(770\) 41903.5 + 90573.0i 1.96117 + 4.23899i
\(771\) −15844.9 + 7997.80i −0.740129 + 0.373585i
\(772\) 20265.0 + 6828.07i 0.944757 + 0.318326i
\(773\) −3811.07 9565.07i −0.177328 0.445061i 0.813266 0.581892i \(-0.197687\pi\)