Properties

Label 177.3.g.a.10.20
Level $177$
Weight $3$
Character 177.10
Analytic conductor $4.823$
Analytic rank $0$
Dimension $560$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.82290067918\)
Analytic rank: \(0\)
Dimension: \(560\)
Relative dimension: \(20\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 10.20
Character \(\chi\) \(=\) 177.10
Dual form 177.3.g.a.124.20

$q$-expansion

\(f(q)\) \(=\) \(q+(3.40493 + 1.35665i) q^{2} +(1.72190 + 0.187268i) q^{3} +(6.84907 + 6.48778i) q^{4} +(1.18743 - 1.39795i) q^{5} +(5.60888 + 2.97364i) q^{6} +(-5.85901 - 3.52525i) q^{7} +(8.36297 + 18.0763i) q^{8} +(2.92986 + 0.644911i) q^{9} +O(q^{10})\) \(q+(3.40493 + 1.35665i) q^{2} +(1.72190 + 0.187268i) q^{3} +(6.84907 + 6.48778i) q^{4} +(1.18743 - 1.39795i) q^{5} +(5.60888 + 2.97364i) q^{6} +(-5.85901 - 3.52525i) q^{7} +(8.36297 + 18.0763i) q^{8} +(2.92986 + 0.644911i) q^{9} +(5.93964 - 3.14900i) q^{10} +(-18.1191 - 0.982387i) q^{11} +(10.5784 + 12.4539i) q^{12} +(-2.12858 - 9.67024i) q^{13} +(-15.1670 - 19.9518i) q^{14} +(2.30642 - 2.18476i) q^{15} +(1.90921 + 35.2132i) q^{16} +(23.9564 - 14.4141i) q^{17} +(9.10106 + 6.17067i) q^{18} +(-3.55086 + 12.7890i) q^{19} +(17.2024 - 1.87087i) q^{20} +(-9.42845 - 7.16732i) q^{21} +(-60.3614 - 27.9261i) q^{22} +(-21.7336 + 14.7358i) q^{23} +(11.0151 + 32.6916i) q^{24} +(3.50027 + 21.3507i) q^{25} +(5.87144 - 35.8142i) q^{26} +(4.92415 + 1.65914i) q^{27} +(-17.2577 - 62.1567i) q^{28} +(6.39647 + 16.0539i) q^{29} +(10.8172 - 4.30995i) q^{30} +(-1.63201 + 0.453126i) q^{31} +(-15.8330 + 46.9907i) q^{32} +(-31.0152 - 5.08468i) q^{33} +(101.124 - 16.5785i) q^{34} +(-11.8853 + 4.00462i) q^{35} +(15.8828 + 23.4254i) q^{36} +(10.4600 - 22.6090i) q^{37} +(-29.4407 + 38.7285i) q^{38} +(-1.85427 - 17.0498i) q^{39} +(35.2002 + 9.77328i) q^{40} +(29.2958 - 43.2081i) q^{41} +(-22.3797 - 37.1953i) q^{42} +(47.9681 - 2.60076i) q^{43} +(-117.725 - 124.281i) q^{44} +(4.38056 - 3.33001i) q^{45} +(-93.9928 + 20.6894i) q^{46} +(-50.0867 + 42.5440i) q^{47} +(-3.30684 + 60.9911i) q^{48} +(-1.05140 - 1.98316i) q^{49} +(-17.0472 + 77.4464i) q^{50} +(43.9497 - 20.3333i) q^{51} +(48.1596 - 80.0419i) q^{52} +(-22.8094 + 43.0232i) q^{53} +(14.5155 + 12.3296i) q^{54} +(-22.8884 + 24.1630i) q^{55} +(14.7246 - 135.391i) q^{56} +(-8.50919 + 21.3565i) q^{57} +63.3403i q^{58} +(52.6928 + 26.5419i) q^{59} +29.9711 q^{60} +(-6.80785 - 2.71249i) q^{61} +(-6.17162 - 0.671204i) q^{62} +(-14.8926 - 14.1070i) q^{63} +(-26.3399 + 31.0097i) q^{64} +(-16.0461 - 8.50708i) q^{65} +(-98.7064 - 59.3897i) q^{66} +(-47.9508 - 103.644i) q^{67} +(257.594 + 56.7007i) q^{68} +(-40.1826 + 21.3035i) q^{69} +(-45.9014 - 2.48870i) q^{70} +(39.6022 + 46.6234i) q^{71} +(12.8448 + 58.3543i) q^{72} +(-37.9046 - 49.8626i) q^{73} +(66.2880 - 62.7913i) q^{74} +(2.02881 + 37.4193i) q^{75} +(-107.293 + 64.5558i) q^{76} +(102.697 + 69.6300i) q^{77} +(16.8169 - 60.5689i) q^{78} +(43.6669 - 4.74906i) q^{79} +(51.4934 + 39.1443i) q^{80} +(8.16818 + 3.77900i) q^{81} +(158.368 - 107.376i) q^{82} +(17.6699 + 52.4424i) q^{83} +(-18.0761 - 110.259i) q^{84} +(8.29635 - 50.6055i) q^{85} +(166.856 + 56.2205i) q^{86} +(8.00768 + 28.8411i) q^{87} +(-133.771 - 335.741i) q^{88} +(-89.1508 + 35.5209i) q^{89} +(19.4332 - 5.39559i) q^{90} +(-21.6186 + 64.1618i) q^{91} +(-244.458 - 40.0768i) q^{92} +(-2.89501 + 0.474613i) q^{93} +(-228.259 + 76.9094i) q^{94} +(13.6620 + 20.1500i) q^{95} +(-36.0626 + 77.9481i) q^{96} +(-47.1811 + 62.0657i) q^{97} +(-0.889509 - 8.17890i) q^{98} +(-52.4528 - 14.5634i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + O(q^{10}) \) \( 560q + 40q^{4} + 8q^{7} - 60q^{9} + 24q^{12} - 24q^{15} + 8q^{16} - 16q^{17} + 60q^{19} + 164q^{20} - 40q^{22} - 100q^{25} + 156q^{26} - 200q^{28} + 60q^{29} + 32q^{35} + 120q^{36} - 28q^{41} - 1572q^{46} - 638q^{47} + 96q^{48} - 1328q^{49} - 1856q^{50} + 24q^{51} - 1392q^{52} - 572q^{53} - 522q^{55} - 928q^{56} - 24q^{57} + 268q^{59} + 72q^{60} + 348q^{61} + 472q^{62} + 24q^{63} + 2580q^{64} + 1218q^{65} + 120q^{66} + 1044q^{67} + 1936q^{68} + 2784q^{70} + 1416q^{71} + 870q^{73} + 1752q^{74} - 240q^{75} - 120q^{76} + 468q^{78} + 420q^{79} - 376q^{80} - 180q^{81} - 168q^{84} + 348q^{85} - 232q^{86} - 144q^{87} + 212q^{88} - 152q^{94} - 788q^{95} - 3306q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{7}{58}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.40493 + 1.35665i 1.70246 + 0.678324i 0.999460 0.0328610i \(-0.0104619\pi\)
0.703005 + 0.711185i \(0.251841\pi\)
\(3\) 1.72190 + 0.187268i 0.573966 + 0.0624225i
\(4\) 6.84907 + 6.48778i 1.71227 + 1.62195i
\(5\) 1.18743 1.39795i 0.237486 0.279590i −0.630489 0.776198i \(-0.717146\pi\)
0.867975 + 0.496608i \(0.165421\pi\)
\(6\) 5.60888 + 2.97364i 0.934814 + 0.495607i
\(7\) −5.85901 3.52525i −0.837001 0.503607i 0.0313780 0.999508i \(-0.490010\pi\)
−0.868379 + 0.495901i \(0.834838\pi\)
\(8\) 8.36297 + 18.0763i 1.04537 + 2.25953i
\(9\) 2.92986 + 0.644911i 0.325540 + 0.0716568i
\(10\) 5.93964 3.14900i 0.593964 0.314900i
\(11\) −18.1191 0.982387i −1.64719 0.0893079i −0.792982 0.609245i \(-0.791473\pi\)
−0.854205 + 0.519937i \(0.825955\pi\)
\(12\) 10.5784 + 12.4539i 0.881537 + 1.03783i
\(13\) −2.12858 9.67024i −0.163737 0.743864i −0.984893 0.173161i \(-0.944602\pi\)
0.821157 0.570703i \(-0.193329\pi\)
\(14\) −15.1670 19.9518i −1.08336 1.42513i
\(15\) 2.30642 2.18476i 0.153762 0.145651i
\(16\) 1.90921 + 35.2132i 0.119325 + 2.20083i
\(17\) 23.9564 14.4141i 1.40920 0.847886i 0.411225 0.911534i \(-0.365101\pi\)
0.997972 + 0.0636483i \(0.0202736\pi\)
\(18\) 9.10106 + 6.17067i 0.505614 + 0.342815i
\(19\) −3.55086 + 12.7890i −0.186887 + 0.673107i 0.809419 + 0.587232i \(0.199782\pi\)
−0.996306 + 0.0858753i \(0.972631\pi\)
\(20\) 17.2024 1.87087i 0.860119 0.0935436i
\(21\) −9.42845 7.16732i −0.448974 0.341301i
\(22\) −60.3614 27.9261i −2.74370 1.26937i
\(23\) −21.7336 + 14.7358i −0.944941 + 0.640686i −0.933243 0.359245i \(-0.883034\pi\)
−0.0116982 + 0.999932i \(0.503724\pi\)
\(24\) 11.0151 + 32.6916i 0.458962 + 1.36215i
\(25\) 3.50027 + 21.3507i 0.140011 + 0.854029i
\(26\) 5.87144 35.8142i 0.225825 1.37747i
\(27\) 4.92415 + 1.65914i 0.182376 + 0.0614496i
\(28\) −17.2577 62.1567i −0.616347 2.21988i
\(29\) 6.39647 + 16.0539i 0.220568 + 0.553584i 0.997067 0.0765347i \(-0.0243856\pi\)
−0.776499 + 0.630119i \(0.783006\pi\)
\(30\) 10.8172 4.30995i 0.360572 0.143665i
\(31\) −1.63201 + 0.453126i −0.0526455 + 0.0146170i −0.293751 0.955882i \(-0.594904\pi\)
0.241106 + 0.970499i \(0.422490\pi\)
\(32\) −15.8330 + 46.9907i −0.494781 + 1.46846i
\(33\) −31.0152 5.08468i −0.939854 0.154081i
\(34\) 101.124 16.5785i 2.97425 0.487603i
\(35\) −11.8853 + 4.00462i −0.339580 + 0.114418i
\(36\) 15.8828 + 23.4254i 0.441188 + 0.650704i
\(37\) 10.4600 22.6090i 0.282703 0.611053i −0.713252 0.700908i \(-0.752778\pi\)
0.995955 + 0.0898552i \(0.0286404\pi\)
\(38\) −29.4407 + 38.7285i −0.774754 + 1.01917i
\(39\) −1.85427 17.0498i −0.0475455 0.437174i
\(40\) 35.2002 + 9.77328i 0.880004 + 0.244332i
\(41\) 29.2958 43.2081i 0.714533 1.05386i −0.281025 0.959700i \(-0.590674\pi\)
0.995557 0.0941562i \(-0.0300153\pi\)
\(42\) −22.3797 37.1953i −0.532849 0.885602i
\(43\) 47.9681 2.60076i 1.11554 0.0604827i 0.512864 0.858470i \(-0.328585\pi\)
0.602674 + 0.797987i \(0.294102\pi\)
\(44\) −117.725 124.281i −2.67557 2.82457i
\(45\) 4.38056 3.33001i 0.0973458 0.0740003i
\(46\) −93.9928 + 20.6894i −2.04332 + 0.449769i
\(47\) −50.0867 + 42.5440i −1.06567 + 0.905192i −0.995726 0.0923584i \(-0.970559\pi\)
−0.0699488 + 0.997551i \(0.522284\pi\)
\(48\) −3.30684 + 60.9911i −0.0688925 + 1.27065i
\(49\) −1.05140 1.98316i −0.0214572 0.0404726i
\(50\) −17.0472 + 77.4464i −0.340945 + 1.54893i
\(51\) 43.9497 20.3333i 0.861758 0.398692i
\(52\) 48.1596 80.0419i 0.926147 1.53927i
\(53\) −22.8094 + 43.0232i −0.430367 + 0.811758i −0.999948 0.0101769i \(-0.996761\pi\)
0.569581 + 0.821935i \(0.307105\pi\)
\(54\) 14.5155 + 12.3296i 0.268806 + 0.228326i
\(55\) −22.8884 + 24.1630i −0.416153 + 0.439328i
\(56\) 14.7246 135.391i 0.262940 2.41769i
\(57\) −8.50919 + 21.3565i −0.149284 + 0.374675i
\(58\) 63.3403i 1.09207i
\(59\) 52.6928 + 26.5419i 0.893098 + 0.449863i
\(60\) 29.9711 0.499518
\(61\) −6.80785 2.71249i −0.111604 0.0444671i 0.313668 0.949533i \(-0.398442\pi\)
−0.425272 + 0.905066i \(0.639822\pi\)
\(62\) −6.17162 0.671204i −0.0995422 0.0108259i
\(63\) −14.8926 14.1070i −0.236391 0.223921i
\(64\) −26.3399 + 31.0097i −0.411560 + 0.484526i
\(65\) −16.0461 8.50708i −0.246862 0.130878i
\(66\) −98.7064 59.3897i −1.49555 0.899843i
\(67\) −47.9508 103.644i −0.715683 1.54692i −0.832657 0.553788i \(-0.813182\pi\)
0.116974 0.993135i \(-0.462680\pi\)
\(68\) 257.594 + 56.7007i 3.78815 + 0.833834i
\(69\) −40.1826 + 21.3035i −0.582357 + 0.308746i
\(70\) −45.9014 2.48870i −0.655735 0.0355529i
\(71\) 39.6022 + 46.6234i 0.557778 + 0.656667i 0.966703 0.255901i \(-0.0823721\pi\)
−0.408925 + 0.912568i \(0.634096\pi\)
\(72\) 12.8448 + 58.3543i 0.178399 + 0.810477i
\(73\) −37.9046 49.8626i −0.519240 0.683049i 0.459494 0.888181i \(-0.348031\pi\)
−0.978734 + 0.205132i \(0.934238\pi\)
\(74\) 66.2880 62.7913i 0.895784 0.848531i
\(75\) 2.02881 + 37.4193i 0.0270508 + 0.498923i
\(76\) −107.293 + 64.5558i −1.41175 + 0.849419i
\(77\) 102.697 + 69.6300i 1.33372 + 0.904286i
\(78\) 16.8169 60.5689i 0.215601 0.776524i
\(79\) 43.6669 4.74906i 0.552746 0.0601147i 0.172516 0.985007i \(-0.444810\pi\)
0.380230 + 0.924892i \(0.375845\pi\)
\(80\) 51.4934 + 39.1443i 0.643667 + 0.489303i
\(81\) 8.16818 + 3.77900i 0.100842 + 0.0466543i
\(82\) 158.368 107.376i 1.93132 1.30947i
\(83\) 17.6699 + 52.4424i 0.212891 + 0.631837i 0.999889 + 0.0148819i \(0.00473724\pi\)
−0.786999 + 0.616955i \(0.788366\pi\)
\(84\) −18.0761 110.259i −0.215191 1.31261i
\(85\) 8.29635 50.6055i 0.0976041 0.595358i
\(86\) 166.856 + 56.2205i 1.94019 + 0.653726i
\(87\) 8.00768 + 28.8411i 0.0920423 + 0.331507i
\(88\) −133.771 335.741i −1.52013 3.81523i
\(89\) −89.1508 + 35.5209i −1.00169 + 0.399112i −0.812584 0.582844i \(-0.801940\pi\)
−0.189111 + 0.981956i \(0.560561\pi\)
\(90\) 19.4332 5.39559i 0.215924 0.0599510i
\(91\) −21.6186 + 64.1618i −0.237567 + 0.705075i
\(92\) −244.458 40.0768i −2.65715 0.435618i
\(93\) −2.89501 + 0.474613i −0.0311292 + 0.00510337i
\(94\) −228.259 + 76.9094i −2.42829 + 0.818185i
\(95\) 13.6620 + 20.1500i 0.143811 + 0.212105i
\(96\) −36.0626 + 77.9481i −0.375652 + 0.811959i
\(97\) −47.1811 + 62.0657i −0.486404 + 0.639853i −0.972181 0.234229i \(-0.924743\pi\)
0.485778 + 0.874082i \(0.338536\pi\)
\(98\) −0.889509 8.17890i −0.00907663 0.0834582i
\(99\) −52.4528 14.5634i −0.529826 0.147105i
\(100\) −114.545 + 168.942i −1.14545 + 1.68942i
\(101\) 97.3232 + 161.752i 0.963596 + 1.60151i 0.786752 + 0.617269i \(0.211761\pi\)
0.176844 + 0.984239i \(0.443411\pi\)
\(102\) 177.231 9.60917i 1.73756 0.0942075i
\(103\) −42.9208 45.3109i −0.416707 0.439912i 0.483520 0.875333i \(-0.339358\pi\)
−0.900227 + 0.435421i \(0.856599\pi\)
\(104\) 157.001 119.349i 1.50962 1.14758i
\(105\) −21.2152 + 4.66981i −0.202049 + 0.0444744i
\(106\) −136.032 + 115.547i −1.28332 + 1.09006i
\(107\) 7.86747 145.107i 0.0735278 1.35614i −0.696237 0.717812i \(-0.745144\pi\)
0.769765 0.638328i \(-0.220373\pi\)
\(108\) 22.9617 + 43.3104i 0.212608 + 0.401022i
\(109\) −0.604529 + 2.74640i −0.00554614 + 0.0251964i −0.979312 0.202354i \(-0.935141\pi\)
0.973766 + 0.227551i \(0.0730718\pi\)
\(110\) −110.714 + 51.2218i −1.00649 + 0.465653i
\(111\) 22.2450 36.9715i 0.200405 0.333076i
\(112\) 112.949 213.045i 1.00848 1.90219i
\(113\) −47.5724 40.4083i −0.420995 0.357596i 0.411709 0.911316i \(-0.364932\pi\)
−0.832703 + 0.553720i \(0.813208\pi\)
\(114\) −57.9464 + 61.1733i −0.508302 + 0.536608i
\(115\) −5.20729 + 47.8803i −0.0452808 + 0.416350i
\(116\) −60.3446 + 151.453i −0.520212 + 1.30563i
\(117\) 29.7052i 0.253891i
\(118\) 143.407 + 161.859i 1.21531 + 1.37169i
\(119\) −191.174 −1.60650
\(120\) 58.7809 + 23.4204i 0.489841 + 0.195170i
\(121\) 207.044 + 22.5174i 1.71111 + 0.186094i
\(122\) −19.5003 18.4717i −0.159839 0.151407i
\(123\) 58.5359 68.9138i 0.475902 0.560275i
\(124\) −14.1175 7.48465i −0.113851 0.0603601i
\(125\) 73.2946 + 44.0999i 0.586357 + 0.352799i
\(126\) −31.5700 68.2375i −0.250556 0.541567i
\(127\) −122.883 27.0487i −0.967586 0.212982i −0.297053 0.954861i \(-0.596004\pi\)
−0.670534 + 0.741879i \(0.733935\pi\)
\(128\) 43.4859 23.0548i 0.339734 0.180116i
\(129\) 83.0832 + 4.50464i 0.644056 + 0.0349197i
\(130\) −43.0946 50.7348i −0.331497 0.390268i
\(131\) 35.8328 + 162.790i 0.273533 + 1.24267i 0.890245 + 0.455482i \(0.150533\pi\)
−0.616712 + 0.787189i \(0.711536\pi\)
\(132\) −179.437 236.045i −1.35937 1.78822i
\(133\) 65.8891 62.4134i 0.495407 0.469274i
\(134\) −22.6607 417.952i −0.169110 3.11905i
\(135\) 8.16648 4.91361i 0.0604924 0.0363971i
\(136\) 460.899 + 312.497i 3.38896 + 2.29777i
\(137\) −44.8475 + 161.526i −0.327354 + 1.17902i 0.598495 + 0.801127i \(0.295766\pi\)
−0.925849 + 0.377895i \(0.876648\pi\)
\(138\) −165.720 + 18.0232i −1.20087 + 0.130603i
\(139\) 36.2281 + 27.5399i 0.260634 + 0.198129i 0.727328 0.686290i \(-0.240762\pi\)
−0.466694 + 0.884419i \(0.654555\pi\)
\(140\) −107.384 49.6812i −0.767030 0.354866i
\(141\) −94.2113 + 63.8768i −0.668165 + 0.453027i
\(142\) 71.5914 + 212.476i 0.504165 + 1.49631i
\(143\) 29.0680 + 177.307i 0.203272 + 1.23991i
\(144\) −17.1157 + 104.401i −0.118859 + 0.725008i
\(145\) 30.0380 + 10.1210i 0.207158 + 0.0697998i
\(146\) −61.4164 221.202i −0.420660 1.51508i
\(147\) −1.43903 3.61169i −0.00978932 0.0245693i
\(148\) 218.323 86.9880i 1.47516 0.587757i
\(149\) −218.542 + 60.6778i −1.46672 + 0.407233i −0.906888 0.421371i \(-0.861549\pi\)
−0.559834 + 0.828605i \(0.689135\pi\)
\(150\) −43.8568 + 130.162i −0.292379 + 0.867749i
\(151\) 117.086 + 19.1953i 0.775404 + 0.127121i 0.536475 0.843916i \(-0.319755\pi\)
0.238929 + 0.971037i \(0.423204\pi\)
\(152\) −260.874 + 42.7681i −1.71628 + 0.281369i
\(153\) 79.4846 26.7815i 0.519507 0.175042i
\(154\) 255.211 + 376.408i 1.65722 + 2.44421i
\(155\) −1.30445 + 2.81953i −0.00841582 + 0.0181905i
\(156\) 97.9152 128.805i 0.627661 0.825674i
\(157\) −20.6544 189.914i −0.131557 1.20964i −0.854766 0.519014i \(-0.826299\pi\)
0.723209 0.690629i \(-0.242666\pi\)
\(158\) 155.126 + 43.0704i 0.981807 + 0.272597i
\(159\) −47.3324 + 69.8100i −0.297688 + 0.439057i
\(160\) 46.8900 + 77.9319i 0.293063 + 0.487074i
\(161\) 179.285 9.72055i 1.11357 0.0603761i
\(162\) 22.6853 + 23.9486i 0.140033 + 0.147831i
\(163\) 133.097 101.178i 0.816548 0.620724i −0.111256 0.993792i \(-0.535487\pi\)
0.927804 + 0.373068i \(0.121694\pi\)
\(164\) 480.974 105.870i 2.93277 0.645551i
\(165\) −43.9365 + 37.3200i −0.266282 + 0.226182i
\(166\) −10.9811 + 202.535i −0.0661513 + 1.22009i
\(167\) 82.7824 + 156.144i 0.495703 + 0.934996i 0.997544 + 0.0700358i \(0.0223114\pi\)
−0.501841 + 0.864960i \(0.667344\pi\)
\(168\) 50.7086 230.371i 0.301837 1.37126i
\(169\) 64.3976 29.7935i 0.381051 0.176293i
\(170\) 96.9023 161.053i 0.570013 0.947370i
\(171\) −18.6513 + 35.1801i −0.109072 + 0.205732i
\(172\) 345.410 + 293.394i 2.00820 + 1.70578i
\(173\) 56.0103 59.1293i 0.323759 0.341788i −0.543716 0.839269i \(-0.682983\pi\)
0.867475 + 0.497481i \(0.165742\pi\)
\(174\) −11.8616 + 109.065i −0.0681700 + 0.626813i
\(175\) 54.7585 137.433i 0.312906 0.785334i
\(176\) 639.906i 3.63583i
\(177\) 85.7611 + 55.5701i 0.484526 + 0.313955i
\(178\) −351.742 −1.97608
\(179\) 120.249 + 47.9118i 0.671785 + 0.267663i 0.680988 0.732294i \(-0.261550\pi\)
−0.00920378 + 0.999958i \(0.502930\pi\)
\(180\) 51.6072 + 5.61262i 0.286706 + 0.0311812i
\(181\) −57.7627 54.7157i −0.319131 0.302297i 0.511318 0.859391i \(-0.329157\pi\)
−0.830449 + 0.557095i \(0.811916\pi\)
\(182\) −160.655 + 189.138i −0.882719 + 1.03922i
\(183\) −11.2145 5.94553i −0.0612812 0.0324892i
\(184\) −448.126 269.628i −2.43547 1.46537i
\(185\) −19.1857 41.4691i −0.103706 0.224157i
\(186\) −10.5012 2.31149i −0.0564580 0.0124274i
\(187\) −448.227 + 237.635i −2.39693 + 1.27077i
\(188\) −619.064 33.5647i −3.29289 0.178535i
\(189\) −23.0018 27.0798i −0.121702 0.143279i
\(190\) 19.1818 + 87.1440i 0.100957 + 0.458652i
\(191\) −191.364 251.736i −1.00191 1.31799i −0.947599 0.319463i \(-0.896497\pi\)
−0.0543094 0.998524i \(-0.517296\pi\)
\(192\) −51.1617 + 48.4629i −0.266467 + 0.252411i
\(193\) −19.3081 356.118i −0.100042 1.84517i −0.431999 0.901874i \(-0.642191\pi\)
0.331956 0.943295i \(-0.392291\pi\)
\(194\) −244.850 + 147.321i −1.26211 + 0.759388i
\(195\) −26.0366 17.6532i −0.133521 0.0905293i
\(196\) 5.66517 20.4041i 0.0289039 0.104102i
\(197\) −81.5148 + 8.86527i −0.413781 + 0.0450014i −0.312642 0.949871i \(-0.601214\pi\)
−0.101139 + 0.994872i \(0.532249\pi\)
\(198\) −158.841 120.747i −0.802225 0.609836i
\(199\) 188.731 + 87.3165i 0.948399 + 0.438776i 0.832216 0.554451i \(-0.187072\pi\)
0.116183 + 0.993228i \(0.462934\pi\)
\(200\) −356.669 + 241.827i −1.78334 + 1.20914i
\(201\) −63.1571 187.444i −0.314215 0.932556i
\(202\) 111.938 + 682.789i 0.554146 + 3.38014i
\(203\) 19.1171 116.609i 0.0941730 0.574430i
\(204\) 432.932 + 145.872i 2.12222 + 0.715058i
\(205\) −25.6161 92.2607i −0.124956 0.450052i
\(206\) −84.6713 212.509i −0.411026 1.03160i
\(207\) −73.1799 + 29.1575i −0.353526 + 0.140858i
\(208\) 336.456 93.4167i 1.61758 0.449119i
\(209\) 76.9020 228.237i 0.367952 1.09204i
\(210\) −78.5715 12.8811i −0.374150 0.0613388i
\(211\) −332.588 + 54.5250i −1.57624 + 0.258412i −0.885483 0.464671i \(-0.846173\pi\)
−0.690761 + 0.723083i \(0.742724\pi\)
\(212\) −435.349 + 146.686i −2.05353 + 0.691915i
\(213\) 59.4600 + 87.6969i 0.279155 + 0.411722i
\(214\) 223.647 483.406i 1.04508 2.25890i
\(215\) 53.3231 70.1453i 0.248014 0.326257i
\(216\) 11.1895 + 102.886i 0.0518032 + 0.476322i
\(217\) 11.1594 + 3.09838i 0.0514256 + 0.0142782i
\(218\) −5.78428 + 8.53117i −0.0265334 + 0.0391338i
\(219\) −55.9301 92.9566i −0.255389 0.424459i
\(220\) −313.529 + 16.9990i −1.42513 + 0.0772684i
\(221\) −190.380 200.982i −0.861450 0.909421i
\(222\) 125.900 95.7066i 0.567117 0.431111i
\(223\) −105.673 + 23.2604i −0.473871 + 0.104307i −0.445483 0.895290i \(-0.646968\pi\)
−0.0283872 + 0.999597i \(0.509037\pi\)
\(224\) 258.419 219.503i 1.15366 0.979926i
\(225\) −3.51401 + 64.8120i −0.0156178 + 0.288054i
\(226\) −107.161 202.127i −0.474162 0.894365i
\(227\) 82.8968 376.604i 0.365184 1.65905i −0.332848 0.942981i \(-0.608009\pi\)
0.698032 0.716067i \(-0.254059\pi\)
\(228\) −196.836 + 91.0661i −0.863316 + 0.399413i
\(229\) 177.927 295.716i 0.776972 1.29134i −0.174822 0.984600i \(-0.555935\pi\)
0.951794 0.306738i \(-0.0992375\pi\)
\(230\) −82.6871 + 155.964i −0.359509 + 0.678106i
\(231\) 163.793 + 139.127i 0.709063 + 0.602283i
\(232\) −236.702 + 249.883i −1.02027 + 1.07708i
\(233\) 32.0456 294.654i 0.137535 1.26461i −0.698370 0.715736i \(-0.746091\pi\)
0.835905 0.548874i \(-0.184943\pi\)
\(234\) 40.2995 101.144i 0.172220 0.432240i
\(235\) 120.537i 0.512922i
\(236\) 188.698 + 523.647i 0.799569 + 2.21884i
\(237\) 76.0793 0.321010
\(238\) −650.933 259.355i −2.73501 1.08973i
\(239\) −199.402 21.6863i −0.834319 0.0907377i −0.319020 0.947748i \(-0.603354\pi\)
−0.515299 + 0.857010i \(0.672319\pi\)
\(240\) 81.3359 + 77.0454i 0.338900 + 0.321023i
\(241\) 112.567 132.524i 0.467084 0.549894i −0.477299 0.878741i \(-0.658384\pi\)
0.944383 + 0.328847i \(0.106660\pi\)
\(242\) 674.423 + 357.557i 2.78687 + 1.47751i
\(243\) 13.3571 + 8.03669i 0.0549674 + 0.0330728i
\(244\) −29.0294 62.7459i −0.118973 0.257155i
\(245\) −4.02083 0.885051i −0.0164115 0.00361245i
\(246\) 292.802 155.234i 1.19025 0.631033i
\(247\) 131.231 + 7.11516i 0.531301 + 0.0288063i
\(248\) −21.8393 25.7112i −0.0880617 0.103674i
\(249\) 20.6050 + 93.6095i 0.0827510 + 0.375942i
\(250\) 189.735 + 249.592i 0.758939 + 0.998368i
\(251\) −173.714 + 164.551i −0.692088 + 0.655581i −0.950597 0.310428i \(-0.899528\pi\)
0.258508 + 0.966009i \(0.416769\pi\)
\(252\) −10.4772 193.240i −0.0415761 0.766826i
\(253\) 408.269 245.648i 1.61371 0.970939i
\(254\) −381.714 258.808i −1.50281 1.01893i
\(255\) 23.7622 85.5838i 0.0931852 0.335623i
\(256\) 341.136 37.1007i 1.33256 0.144925i
\(257\) 183.233 + 139.290i 0.712969 + 0.541985i 0.897594 0.440824i \(-0.145314\pi\)
−0.184624 + 0.982809i \(0.559107\pi\)
\(258\) 276.781 + 128.053i 1.07280 + 0.496328i
\(259\) −140.987 + 95.5919i −0.544353 + 0.369081i
\(260\) −54.7085 162.369i −0.210417 0.624496i
\(261\) 8.38741 + 51.1609i 0.0321357 + 0.196019i
\(262\) −98.8405 + 602.901i −0.377254 + 2.30115i
\(263\) 254.827 + 85.8612i 0.968924 + 0.326468i 0.758885 0.651225i \(-0.225744\pi\)
0.210039 + 0.977693i \(0.432641\pi\)
\(264\) −167.467 603.162i −0.634345 2.28470i
\(265\) 33.0597 + 82.9735i 0.124753 + 0.313107i
\(266\) 309.021 123.125i 1.16173 0.462876i
\(267\) −160.161 + 44.4683i −0.599852 + 0.166548i
\(268\) 344.001 1020.96i 1.28359 3.80955i
\(269\) −13.6568 2.23891i −0.0507686 0.00832309i 0.136344 0.990662i \(-0.456465\pi\)
−0.187113 + 0.982338i \(0.559913\pi\)
\(270\) 34.4723 5.65145i 0.127675 0.0209313i
\(271\) −384.954 + 129.706i −1.42050 + 0.478621i −0.921634 0.388061i \(-0.873145\pi\)
−0.498862 + 0.866681i \(0.666249\pi\)
\(272\) 553.303 + 816.061i 2.03420 + 3.00022i
\(273\) −49.2405 + 106.432i −0.180368 + 0.389859i
\(274\) −371.836 + 489.142i −1.35707 + 1.78519i
\(275\) −42.4470 390.294i −0.154353 1.41925i
\(276\) −413.426 114.787i −1.49792 0.415896i
\(277\) −261.864 + 386.220i −0.945357 + 1.39430i −0.0265244 + 0.999648i \(0.508444\pi\)
−0.918832 + 0.394648i \(0.870866\pi\)
\(278\) 85.9921 + 142.920i 0.309324 + 0.514101i
\(279\) −5.07379 + 0.275093i −0.0181856 + 0.000985997i
\(280\) −171.785 181.351i −0.613517 0.647683i
\(281\) 3.69808 2.81120i 0.0131604 0.0100043i −0.598573 0.801068i \(-0.704265\pi\)
0.611734 + 0.791064i \(0.290472\pi\)
\(282\) −407.441 + 89.6846i −1.44483 + 0.318030i
\(283\) 194.898 165.548i 0.688685 0.584974i −0.233204 0.972428i \(-0.574921\pi\)
0.921889 + 0.387453i \(0.126645\pi\)
\(284\) −31.2438 + 576.258i −0.110013 + 2.02908i
\(285\) 19.7512 + 37.2547i 0.0693025 + 0.130718i
\(286\) −141.568 + 643.152i −0.494994 + 2.24878i
\(287\) −323.964 + 149.882i −1.12879 + 0.522236i
\(288\) −76.6933 + 127.465i −0.266296 + 0.442588i
\(289\) 230.772 435.281i 0.798518 1.50616i
\(290\) 88.5465 + 75.2121i 0.305333 + 0.259352i
\(291\) −92.8640 + 98.0353i −0.319120 + 0.336891i
\(292\) 63.8867 587.429i 0.218790 2.01174i
\(293\) 76.8379 192.849i 0.262245 0.658186i −0.737609 0.675228i \(-0.764045\pi\)
0.999855 + 0.0170413i \(0.00542467\pi\)
\(294\) 14.2498i 0.0484687i
\(295\) 99.6732 42.1452i 0.337875 0.142865i
\(296\) 496.162 1.67622
\(297\) −87.5910 34.8995i −0.294919 0.117507i
\(298\) −826.437 89.8805i −2.77328 0.301612i
\(299\) 188.760 + 178.803i 0.631305 + 0.598004i
\(300\) −228.873 + 269.450i −0.762908 + 0.898165i
\(301\) −290.214 153.862i −0.964166 0.511169i
\(302\) 372.628 + 224.203i 1.23387 + 0.742394i
\(303\) 137.290 + 296.746i 0.453101 + 0.979361i
\(304\) −457.123 100.620i −1.50369 0.330988i
\(305\) −11.8758 + 6.29614i −0.0389370 + 0.0206431i
\(306\) 306.972 + 16.6436i 1.00318 + 0.0543907i
\(307\) 151.874 + 178.800i 0.494704 + 0.582411i 0.951689 0.307064i \(-0.0993465\pi\)
−0.456985 + 0.889475i \(0.651071\pi\)
\(308\) 251.632 + 1143.17i 0.816986 + 3.71160i
\(309\) −65.4199 86.0584i −0.211715 0.278506i
\(310\) −8.26667 + 7.83061i −0.0266667 + 0.0252600i
\(311\) −23.0570 425.261i −0.0741383 1.36740i −0.764822 0.644242i \(-0.777173\pi\)
0.690683 0.723157i \(-0.257310\pi\)
\(312\) 292.689 176.105i 0.938106 0.564440i
\(313\) 211.331 + 143.286i 0.675178 + 0.457782i 0.849976 0.526822i \(-0.176617\pi\)
−0.174797 + 0.984604i \(0.555927\pi\)
\(314\) 187.320 674.665i 0.596560 2.14861i
\(315\) −37.4049 + 4.06802i −0.118746 + 0.0129144i
\(316\) 329.889 + 250.775i 1.04395 + 0.793591i
\(317\) −339.506 157.072i −1.07100 0.495496i −0.196489 0.980506i \(-0.562954\pi\)
−0.874509 + 0.485010i \(0.838816\pi\)
\(318\) −255.871 + 173.485i −0.804626 + 0.545550i
\(319\) −100.127 297.166i −0.313877 0.931554i
\(320\) 12.0733 + 73.6436i 0.0377289 + 0.230136i
\(321\) 40.7208 248.386i 0.126856 0.773788i
\(322\) 623.640 + 210.129i 1.93677 + 0.652574i
\(323\) 99.2763 + 357.561i 0.307357 + 1.10700i
\(324\) 31.4271 + 78.8760i 0.0969972 + 0.243445i
\(325\) 199.016 79.2952i 0.612357 0.243985i
\(326\) 590.450 163.938i 1.81120 0.502876i
\(327\) −1.55525 + 4.61582i −0.00475611 + 0.0141156i
\(328\) 1026.04 + 168.211i 3.12818 + 0.512839i
\(329\) 443.437 72.6978i 1.34783 0.220966i
\(330\) −200.231 + 67.4656i −0.606760 + 0.204441i
\(331\) −162.709 239.978i −0.491567 0.725008i 0.498300 0.867005i \(-0.333958\pi\)
−0.989867 + 0.141997i \(0.954648\pi\)
\(332\) −219.213 + 473.820i −0.660279 + 1.42717i
\(333\) 45.2272 59.4953i 0.135817 0.178665i
\(334\) 70.0356 + 643.967i 0.209687 + 1.92804i
\(335\) −201.827 56.0370i −0.602469 0.167275i
\(336\) 234.384 345.690i 0.697570 1.02884i
\(337\) 31.4466 + 52.2646i 0.0933133 + 0.155088i 0.899998 0.435894i \(-0.143568\pi\)
−0.806685 + 0.590982i \(0.798740\pi\)
\(338\) 259.689 14.0799i 0.768309 0.0416565i
\(339\) −74.3476 78.4878i −0.219314 0.231527i
\(340\) 385.140 292.776i 1.13276 0.861104i
\(341\) 30.0157 6.60694i 0.0880224 0.0193752i
\(342\) −111.234 + 94.4826i −0.325244 + 0.276265i
\(343\) −18.9703 + 349.886i −0.0553069 + 1.02008i
\(344\) 448.168 + 845.335i 1.30281 + 2.45737i
\(345\) −17.9328 + 81.4697i −0.0519793 + 0.236144i
\(346\) 270.929 125.345i 0.783031 0.362269i
\(347\) −179.653 + 298.585i −0.517731 + 0.860476i −0.999878 0.0156145i \(-0.995030\pi\)
0.482147 + 0.876090i \(0.339857\pi\)
\(348\) −132.269 + 249.487i −0.380085 + 0.716916i
\(349\) −51.3009 43.5754i −0.146994 0.124858i 0.570872 0.821039i \(-0.306605\pi\)
−0.717866 + 0.696181i \(0.754881\pi\)
\(350\) 372.898 393.663i 1.06542 1.12475i
\(351\) 5.56282 51.1493i 0.0158485 0.145725i
\(352\) 333.042 835.872i 0.946142 2.37464i
\(353\) 306.342i 0.867823i 0.900955 + 0.433912i \(0.142867\pi\)
−0.900955 + 0.433912i \(0.857133\pi\)
\(354\) 216.621 + 305.560i 0.611925 + 0.863164i
\(355\) 112.202 0.316062
\(356\) −841.052 335.106i −2.36251 0.941309i
\(357\) −329.181 35.8006i −0.922077 0.100282i
\(358\) 344.442 + 326.272i 0.962127 + 0.911375i
\(359\) −345.280 + 406.495i −0.961783 + 1.13230i 0.0293688 + 0.999569i \(0.490650\pi\)
−0.991152 + 0.132730i \(0.957626\pi\)
\(360\) 96.8287 + 51.3353i 0.268969 + 0.142598i
\(361\) 158.374 + 95.2908i 0.438710 + 0.263963i
\(362\) −122.448 264.667i −0.338254 0.731124i
\(363\) 352.292 + 77.5454i 0.970502 + 0.213624i
\(364\) −564.335 + 299.192i −1.55037 + 0.821955i
\(365\) −114.714 6.21963i −0.314286 0.0170401i
\(366\) −30.1184 35.4582i −0.0822908 0.0968803i
\(367\) −57.2983 260.309i −0.156126 0.709288i −0.988016 0.154348i \(-0.950672\pi\)
0.831890 0.554940i \(-0.187259\pi\)
\(368\) −560.388 737.178i −1.52279 2.00320i
\(369\) 113.698 107.701i 0.308125 0.291872i
\(370\) −9.06682 167.228i −0.0245049 0.451967i
\(371\) 285.308 171.664i 0.769025 0.462707i
\(372\) −22.9073 15.5316i −0.0615789 0.0417515i
\(373\) −120.434 + 433.765i −0.322880 + 1.16291i 0.606895 + 0.794782i \(0.292415\pi\)
−0.929775 + 0.368128i \(0.879999\pi\)
\(374\) −1848.57 + 201.044i −4.94269 + 0.537550i
\(375\) 117.947 + 89.6612i 0.314526 + 0.239096i
\(376\) −1187.91 549.586i −3.15934 1.46167i
\(377\) 141.630 96.0275i 0.375676 0.254715i
\(378\) −41.5817 123.410i −0.110004 0.326481i
\(379\) −27.2537 166.240i −0.0719096 0.438629i −0.998102 0.0615784i \(-0.980387\pi\)
0.926193 0.377051i \(-0.123062\pi\)
\(380\) −37.1566 + 226.645i −0.0977805 + 0.596435i
\(381\) −206.527 69.5872i −0.542067 0.182643i
\(382\) −310.066 1116.76i −0.811691 2.92345i
\(383\) −178.706 448.519i −0.466597 1.17107i −0.954510 0.298177i \(-0.903621\pi\)
0.487914 0.872892i \(-0.337758\pi\)
\(384\) 79.1957 31.5545i 0.206239 0.0821731i
\(385\) 219.284 60.8840i 0.569569 0.158140i
\(386\) 417.383 1238.75i 1.08130 3.20920i
\(387\) 142.217 + 23.3153i 0.367486 + 0.0602463i
\(388\) −725.816 + 118.992i −1.87066 + 0.306679i
\(389\) 493.376 166.238i 1.26832 0.427346i 0.396889 0.917867i \(-0.370090\pi\)
0.871430 + 0.490521i \(0.163193\pi\)
\(390\) −64.7034 95.4304i −0.165906 0.244693i
\(391\) −308.257 + 666.286i −0.788380 + 1.70406i
\(392\) 27.0553 35.5906i 0.0690185 0.0907923i
\(393\) 31.2151 + 287.018i 0.0794277 + 0.730325i
\(394\) −289.579 80.4013i −0.734972 0.204064i
\(395\) 45.2124 66.6834i 0.114462 0.168819i
\(396\) −264.768 440.048i −0.668607 1.11123i
\(397\) −41.3762 + 2.24335i −0.104222 + 0.00565076i −0.106176 0.994347i \(-0.533861\pi\)
0.00195406 + 0.999998i \(0.499378\pi\)
\(398\) 524.160 + 553.349i 1.31698 + 1.39032i
\(399\) 125.142 95.1307i 0.313640 0.238423i
\(400\) −745.145 + 164.019i −1.86286 + 0.410047i
\(401\) 42.7037 36.2729i 0.106493 0.0904561i −0.592558 0.805528i \(-0.701882\pi\)
0.699051 + 0.715072i \(0.253606\pi\)
\(402\) 39.2495 723.915i 0.0976356 1.80078i
\(403\) 7.85570 + 14.8174i 0.0194931 + 0.0367678i
\(404\) −382.841 + 1739.26i −0.947627 + 4.30511i
\(405\) 14.9820 6.93141i 0.0369926 0.0171146i
\(406\) 223.290 371.111i 0.549976 0.914067i
\(407\) −211.736 + 399.377i −0.520237 + 0.981270i
\(408\) 735.100 + 624.399i 1.80172 + 1.53039i
\(409\) −111.496 + 117.705i −0.272607 + 0.287788i −0.847896 0.530162i \(-0.822131\pi\)
0.575289 + 0.817950i \(0.304890\pi\)
\(410\) 37.9444 348.893i 0.0925474 0.850959i
\(411\) −107.471 + 269.733i −0.261487 + 0.656284i
\(412\) 588.798i 1.42912i
\(413\) −215.161 341.264i −0.520970 0.826306i
\(414\) −288.729 −0.697412
\(415\) 94.2937 + 37.5700i 0.227214 + 0.0905302i
\(416\) 488.113 + 53.0855i 1.17335 + 0.127609i
\(417\) 57.2237 + 54.2052i 0.137227 + 0.129988i
\(418\) 571.483 672.802i 1.36718 1.60957i
\(419\) 443.571 + 235.167i 1.05864 + 0.561257i 0.904360 0.426770i \(-0.140349\pi\)
0.154283 + 0.988027i \(0.450693\pi\)
\(420\) −175.601 105.656i −0.418098 0.251561i
\(421\) 117.237 + 253.403i 0.278472 + 0.601907i 0.995460 0.0951778i \(-0.0303420\pi\)
−0.716988 + 0.697085i \(0.754480\pi\)
\(422\) −1206.41 265.551i −2.85879 0.629267i
\(423\) −174.184 + 92.3466i −0.411783 + 0.218314i
\(424\) −968.453 52.5080i −2.28409 0.123840i
\(425\) 391.604 + 461.032i 0.921422 + 1.08478i
\(426\) 83.4832 + 379.268i 0.195970 + 0.890300i
\(427\) 30.3250 + 39.8919i 0.0710188 + 0.0934236i
\(428\) 995.307 942.805i 2.32548 2.20282i
\(429\) 16.8482 + 310.747i 0.0392733 + 0.724353i
\(430\) 276.724 166.499i 0.643544 0.387207i
\(431\) −378.160 256.399i −0.877401 0.594892i 0.0371743 0.999309i \(-0.488164\pi\)
−0.914575 + 0.404416i \(0.867475\pi\)
\(432\) −49.0224 + 176.563i −0.113478 + 0.408710i
\(433\) −140.283 + 15.2567i −0.323979 + 0.0352349i −0.268664 0.963234i \(-0.586582\pi\)
−0.0553157 + 0.998469i \(0.517617\pi\)
\(434\) 33.7934 + 25.6891i 0.0778650 + 0.0591914i
\(435\) 49.8269 + 23.0524i 0.114545 + 0.0529940i
\(436\) −21.9585 + 14.8883i −0.0503636 + 0.0341474i
\(437\) −111.283 330.277i −0.254653 0.755783i
\(438\) −64.3287 392.388i −0.146869 0.895863i
\(439\) −29.4005 + 179.335i −0.0669715 + 0.408508i 0.931971 + 0.362533i \(0.118088\pi\)
−0.998943 + 0.0459754i \(0.985360\pi\)
\(440\) −628.193 211.663i −1.42771 0.481052i
\(441\) −1.80151 6.48845i −0.00408505 0.0147130i
\(442\) −375.570 942.609i −0.849705 2.13260i
\(443\) 171.165 68.1984i 0.386377 0.153947i −0.168857 0.985640i \(-0.554008\pi\)
0.555235 + 0.831694i \(0.312628\pi\)
\(444\) 392.220 108.899i 0.883379 0.245269i
\(445\) −56.2038 + 166.807i −0.126301 + 0.374847i
\(446\) −391.366 64.1612i −0.877502 0.143859i
\(447\) −387.669 + 63.5551i −0.867269 + 0.142182i
\(448\) 263.642 88.8315i 0.588487 0.198284i
\(449\) 62.7755 + 92.5869i 0.139812 + 0.206207i 0.891148 0.453713i \(-0.149901\pi\)
−0.751336 + 0.659919i \(0.770590\pi\)
\(450\) −99.8921 + 215.913i −0.221982 + 0.479807i
\(451\) −573.260 + 754.110i −1.27109 + 1.67209i
\(452\) −63.6660 585.399i −0.140854 1.29513i
\(453\) 198.015 + 54.9787i 0.437120 + 0.121366i
\(454\) 793.176 1169.85i 1.74708 2.57676i
\(455\) 64.0244 + 106.409i 0.140713 + 0.233867i
\(456\) −457.207 + 24.7891i −1.00265 + 0.0543620i
\(457\) 450.047 + 475.109i 0.984786 + 1.03963i 0.999210 + 0.0397298i \(0.0126497\pi\)
−0.0144246 + 0.999896i \(0.504592\pi\)
\(458\) 1007.01 765.510i 2.19871 1.67142i
\(459\) 141.880 31.2301i 0.309106 0.0680394i
\(460\) −346.302 + 294.152i −0.752830 + 0.639460i
\(461\) −26.3217 + 485.475i −0.0570970 + 1.05309i 0.819873 + 0.572546i \(0.194044\pi\)
−0.876970 + 0.480546i \(0.840439\pi\)
\(462\) 368.958 + 695.929i 0.798611 + 1.50634i
\(463\) 28.6850 130.317i 0.0619547 0.281463i −0.935450 0.353458i \(-0.885006\pi\)
0.997405 + 0.0719953i \(0.0229367\pi\)
\(464\) −553.098 + 255.891i −1.19202 + 0.551488i
\(465\) −2.77414 + 4.61065i −0.00596589 + 0.00991538i
\(466\) 508.855 959.802i 1.09196 2.05966i
\(467\) 678.077 + 575.964i 1.45199 + 1.23333i 0.923058 + 0.384660i \(0.125681\pi\)
0.528927 + 0.848667i \(0.322595\pi\)
\(468\) 192.721 203.453i 0.411797 0.434729i
\(469\) −84.4265 + 776.289i −0.180014 + 1.65520i
\(470\) −163.526 + 410.419i −0.347928 + 0.873232i
\(471\) 330.880i 0.702506i
\(472\) −39.1107 + 1174.46i −0.0828616 + 2.48826i
\(473\) −871.692 −1.84290
\(474\) 259.045 + 103.213i 0.546508 + 0.217749i
\(475\) −285.484 31.0483i −0.601020 0.0653648i
\(476\) −1309.36 1240.29i −2.75076 2.60566i
\(477\) −94.5747 + 111.342i −0.198270 + 0.233421i
\(478\) −649.530 344.359i −1.35885 0.720416i
\(479\) −117.674 70.8023i −0.245667 0.147813i 0.387396 0.921914i \(-0.373375\pi\)
−0.633062 + 0.774101i \(0.718202\pi\)
\(480\) 66.1457 + 142.972i 0.137804 + 0.297858i
\(481\) −240.899 53.0259i −0.500829 0.110241i
\(482\) 563.073 298.522i 1.16820 0.619341i
\(483\) 310.531 + 16.8365i 0.642921 + 0.0348581i
\(484\) 1271.97 + 1497.48i 2.62804 + 3.09397i
\(485\) 30.7405 + 139.656i 0.0633825 + 0.287950i
\(486\) 34.5770 + 45.4852i 0.0711460 + 0.0935910i
\(487\) −87.9013 + 83.2645i −0.180495 + 0.170974i −0.772613 0.634877i \(-0.781051\pi\)
0.592118 + 0.805852i \(0.298292\pi\)
\(488\) −7.90207 145.745i −0.0161928 0.298658i
\(489\) 248.127 149.293i 0.507418 0.305303i
\(490\) −12.4899 8.46838i −0.0254897 0.0172824i
\(491\) 138.833 500.030i 0.282755 1.01839i −0.676637 0.736317i \(-0.736563\pi\)
0.959392 0.282075i \(-0.0910228\pi\)
\(492\) 848.014 92.2271i 1.72361 0.187453i
\(493\) 384.638 + 292.394i 0.780199 + 0.593092i
\(494\) 437.181 + 202.261i 0.884981 + 0.409436i
\(495\) −82.6429 + 56.0333i −0.166955 + 0.113199i
\(496\) −19.0719 56.6033i −0.0384513 0.114120i
\(497\) −67.6710 412.775i −0.136159 0.830532i
\(498\) −56.8365 + 346.687i −0.114130 + 0.696160i
\(499\) −271.939 91.6271i −0.544969 0.183621i 0.0333329 0.999444i \(-0.489388\pi\)
−0.578302 + 0.815823i \(0.696284\pi\)
\(500\) 215.889 + 777.562i 0.431778 + 1.55512i
\(501\) 113.302 + 284.367i 0.226152 + 0.567599i
\(502\) −814.722 + 324.615i −1.62295 + 0.646643i
\(503\) 37.4935 10.4100i 0.0745398 0.0206959i −0.230058 0.973177i \(-0.573892\pi\)
0.304598 + 0.952481i \(0.401478\pi\)
\(504\) 130.456 387.180i 0.258841 0.768214i
\(505\) 341.686 + 56.0166i 0.676606 + 0.110924i
\(506\) 1723.39 282.535i 3.40590 0.558369i
\(507\) 116.465 39.2418i 0.229715 0.0773999i
\(508\) −666.151 982.500i −1.31132 1.93405i
\(509\) −114.230 + 246.904i −0.224420 + 0.485077i −0.986778 0.162080i \(-0.948180\pi\)
0.762357 + 0.647156i \(0.224042\pi\)
\(510\) 197.016 259.170i 0.386305 0.508176i
\(511\) 46.3051 + 425.768i 0.0906166 + 0.833206i
\(512\) 1022.17 + 283.805i 1.99643 + 0.554307i
\(513\) −38.7038 + 57.0838i −0.0754459 + 0.111274i
\(514\) 434.928 + 722.856i 0.846164 + 1.40634i
\(515\) −114.308 + 6.19759i −0.221957 + 0.0120342i
\(516\) 539.818 + 569.879i 1.04616 + 1.10442i
\(517\) 949.318 721.653i 1.83621 1.39585i
\(518\) −609.737 + 134.213i −1.17710 + 0.259099i
\(519\) 107.517 91.3257i 0.207162 0.175965i
\(520\) 19.5835 361.197i 0.0376607 0.694610i
\(521\) −253.381 477.927i −0.486335 0.917326i −0.998298 0.0583183i \(-0.981426\pi\)
0.511963 0.859008i \(-0.328919\pi\)
\(522\) −40.8488 + 185.578i −0.0782545 + 0.355514i
\(523\) 367.134 169.854i 0.701977 0.324769i −0.0362299 0.999343i \(-0.511535\pi\)
0.738207 + 0.674574i \(0.235673\pi\)
\(524\) −810.725 + 1347.43i −1.54718 + 2.57144i
\(525\) 120.025 226.392i 0.228620 0.431222i
\(526\) 751.184 + 638.062i 1.42811 + 1.21305i
\(527\) −32.5657 + 34.3792i −0.0617944 + 0.0652356i
\(528\) 119.834 1101.85i 0.226958 2.08684i
\(529\) 59.4052 149.096i 0.112297 0.281845i
\(530\) 327.369i 0.617678i
\(531\) 137.265 + 111.746i 0.258503 + 0.210445i
\(532\) 856.204 1.60941
\(533\) −480.191 191.326i −0.900922 0.358960i
\(534\) −605.663 65.8698i −1.13420 0.123352i
\(535\) −193.510 183.303i −0.361701 0.342622i
\(536\) 1472.48 1733.54i 2.74717 3.23422i
\(537\) 198.085 + 105.018i 0.368873 + 0.195564i
\(538\) −43.4629 26.1507i −0.0807860 0.0486073i
\(539\) 17.1022 + 36.9659i 0.0317296 + 0.0685823i
\(540\) 87.8112 + 19.3287i 0.162613 + 0.0357939i
\(541\) 413.291 219.113i 0.763938 0.405014i −0.0404020 0.999184i \(-0.512864\pi\)
0.804340 + 0.594169i \(0.202519\pi\)
\(542\) −1486.71 80.6070i −2.74300 0.148721i
\(543\) −89.2149 105.032i −0.164300 0.193429i
\(544\) 298.025 + 1353.94i 0.547841 + 2.48886i
\(545\) 3.12150 + 4.10626i 0.00572752 + 0.00753443i
\(546\) −312.051 + 295.590i −0.571521 + 0.541374i
\(547\) 15.5257 + 286.355i 0.0283834 + 0.523501i 0.977808 + 0.209505i \(0.0671852\pi\)
−0.949424 + 0.313996i \(0.898332\pi\)
\(548\) −1355.11 + 815.342i −2.47283 + 1.48785i
\(549\) −18.1967 12.3377i −0.0331452 0.0224730i
\(550\) 384.962 1386.51i 0.699931 2.52092i
\(551\) −228.027 + 24.7995i −0.413843 + 0.0450081i
\(552\) −721.134 548.192i −1.30640 0.993101i
\(553\) −272.586 126.112i −0.492923 0.228051i
\(554\) −1415.59 + 959.796i −2.55522 + 1.73248i
\(555\) −25.2699 74.9984i −0.0455314 0.135132i
\(556\) 69.4559 + 423.662i 0.124921 + 0.761983i
\(557\) −34.6606 + 211.420i −0.0622273 + 0.379570i 0.937291 + 0.348547i \(0.113325\pi\)
−0.999519 + 0.0310231i \(0.990123\pi\)
\(558\) −17.6491 5.94668i −0.0316292 0.0106571i
\(559\) −127.254 458.327i −0.227646 0.819906i
\(560\) −163.707 410.874i −0.292334 0.733703i
\(561\) −816.302 + 325.244i −1.45508 + 0.579758i
\(562\) 16.4055 4.55497i 0.0291913 0.00810492i
\(563\) −183.994 + 546.075i −0.326810 + 0.969938i 0.650752 + 0.759290i \(0.274454\pi\)
−0.977562 + 0.210647i \(0.932443\pi\)
\(564\) −1059.68 173.726i −1.87886 0.308024i
\(565\) −112.978 + 18.5218i −0.199961 + 0.0327819i
\(566\) 888.204 299.271i 1.56926 0.528747i
\(567\) −34.5355 50.9361i −0.0609092 0.0898343i
\(568\) −511.584 + 1105.77i −0.900676 + 1.94678i
\(569\) −425.423 + 559.634i −0.747667 + 0.983539i 0.252207 + 0.967673i \(0.418844\pi\)
−0.999874 + 0.0158659i \(0.994950\pi\)
\(570\) 16.7099 + 153.645i 0.0293156 + 0.269553i
\(571\) 668.914 + 185.723i 1.17148 + 0.325259i 0.798161 0.602445i \(-0.205807\pi\)
0.373317 + 0.927704i \(0.378220\pi\)
\(572\) −951.239 + 1402.97i −1.66300 + 2.45275i
\(573\) −282.368 469.299i −0.492789 0.819021i
\(574\) −1306.41 + 70.8316i −2.27598 + 0.123400i
\(575\) −390.693 412.450i −0.679467 0.717304i
\(576\) −97.1707 + 73.8672i −0.168699 + 0.128242i
\(577\) −226.130 + 49.7750i −0.391907 + 0.0862652i −0.406552 0.913628i \(-0.633269\pi\)
0.0146453 + 0.999893i \(0.495338\pi\)
\(578\) 1376.28 1169.03i 2.38112 2.02254i
\(579\) 33.4427 616.814i 0.0577594 1.06531i
\(580\) 140.069 + 264.199i 0.241499 + 0.455515i
\(581\) 81.3444 369.552i 0.140008 0.636061i
\(582\) −449.195 + 207.820i −0.771812 + 0.357078i
\(583\) 455.551 757.132i 0.781391 1.29868i
\(584\) 584.335 1102.17i 1.00057 1.88728i
\(585\) −41.5264 35.2728i −0.0709853 0.0602955i
\(586\) 523.255 552.394i 0.892927 0.942652i
\(587\) 80.5592 740.730i 0.137239 1.26189i −0.699637 0.714498i \(-0.746655\pi\)
0.836876 0.547392i \(-0.184379\pi\)
\(588\) 13.5759 34.0728i 0.0230882 0.0579470i
\(589\) 22.4809i 0.0381678i
\(590\) 396.557 8.27997i 0.672130 0.0140339i
\(591\) −142.020 −0.240305
\(592\) 816.104 + 325.166i 1.37855 + 0.549266i
\(593\) 89.8338 + 9.77001i 0.151490 + 0.0164756i 0.183550 0.983010i \(-0.441241\pi\)
−0.0320595 + 0.999486i \(0.510207\pi\)
\(594\) −250.895 237.660i −0.422382 0.400102i
\(595\) −227.005 + 267.251i −0.381521 + 0.449162i
\(596\) −1890.47 1002.26i −3.17193 1.68165i
\(597\) 308.625 + 185.693i 0.516959 + 0.311044i
\(598\) 400.143 + 864.894i 0.669135 + 1.44631i
\(599\) 240.705 + 52.9831i 0.401844 + 0.0884525i 0.411294 0.911503i \(-0.365077\pi\)
−0.00944992 + 0.999955i \(0.503008\pi\)
\(600\) −659.434 + 349.610i −1.09906 + 0.582683i
\(601\) −1175.32 63.7240i −1.95561 0.106030i −0.966830 0.255423i \(-0.917785\pi\)
−0.988778 + 0.149393i \(0.952268\pi\)
\(602\) −779.422 917.607i −1.29472 1.52426i
\(603\) −73.6480 334.586i −0.122136 0.554869i
\(604\) 677.395 + 891.098i 1.12152 + 1.47533i
\(605\) 277.329 262.700i 0.458395 0.434215i
\(606\) 64.8807 + 1196.65i 0.107064 + 1.97468i
\(607\) −676.806 + 407.221i −1.11500 + 0.670874i −0.949008 0.315253i \(-0.897911\pi\)
−0.165994 + 0.986127i \(0.553083\pi\)
\(608\) −544.745 369.346i −0.895962 0.607477i
\(609\) 54.7549 197.209i 0.0899095 0.323825i
\(610\) −48.9778 + 5.32666i −0.0802915 + 0.00873223i
\(611\) 518.024 + 393.792i 0.847831 + 0.644504i
\(612\) 718.148 + 332.251i 1.17344 + 0.542893i
\(613\) 323.230 219.155i 0.527292 0.357513i −0.268310 0.963333i \(-0.586465\pi\)
0.795602 + 0.605820i \(0.207155\pi\)
\(614\) 274.552 + 814.842i 0.447153 + 1.32710i
\(615\) −26.8308 163.661i −0.0436273 0.266115i
\(616\) −399.802 + 2438.68i −0.649029 + 3.95890i
\(617\) 377.864 + 127.317i 0.612421 + 0.206349i 0.608384 0.793643i \(-0.291818\pi\)
0.00403749 + 0.999992i \(0.498715\pi\)
\(618\) −105.999 381.775i −0.171520 0.617758i
\(619\) 34.1095 + 85.6084i 0.0551042 + 0.138301i 0.953952 0.299961i \(-0.0969736\pi\)
−0.898847 + 0.438262i \(0.855594\pi\)
\(620\) −27.2268 + 10.8481i −0.0439141 + 0.0174970i
\(621\) −131.468 + 36.5020i −0.211704 + 0.0587795i
\(622\) 498.422 1479.26i 0.801322 2.37824i
\(623\) 647.556 + 106.161i 1.03942 + 0.170403i
\(624\) 596.837 97.8465i 0.956470 0.156805i
\(625\) −363.898 + 122.612i −0.582237 + 0.196178i
\(626\) 525.178 + 774.580i 0.838943 + 1.23735i
\(627\) 175.159 378.599i 0.279360 0.603827i
\(628\) 1090.66 1434.74i 1.73672 2.28461i
\(629\) −75.3030 692.399i −0.119719 1.10079i
\(630\) −132.880 36.8939i −0.210920 0.0585617i
\(631\) −1.71183 + 2.52476i −0.00271288 + 0.00400120i −0.829043 0.559185i \(-0.811114\pi\)
0.826330 + 0.563186i \(0.190425\pi\)
\(632\) 451.031 + 749.619i 0.713656 + 1.18611i
\(633\) −582.892 + 31.6035i −0.920841 + 0.0499265i
\(634\) −942.903 995.411i −1.48723 1.57005i
\(635\) −183.728 + 139.667i −0.289336 + 0.219947i
\(636\) −777.095 + 171.052i −1.22185 + 0.268949i
\(637\) −16.9396 + 14.3886i −0.0265928 + 0.0225881i
\(638\) 62.2246 1147.67i 0.0975308 1.79885i
\(639\) 85.9612 + 162.140i 0.134525 + 0.253740i
\(640\) 19.4071 88.1671i 0.0303235 0.137761i
\(641\) −673.357 + 311.528i −1.05048 + 0.486004i −0.867668 0.497144i \(-0.834382\pi\)
−0.182812 + 0.983148i \(0.558520\pi\)
\(642\) 475.624 790.493i 0.740847 1.23130i
\(643\) 8.87064 16.7318i 0.0137957 0.0260215i −0.876518 0.481368i \(-0.840140\pi\)
0.890314 + 0.455347i \(0.150485\pi\)
\(644\) 1291.00 + 1096.59i 2.00466 + 1.70277i
\(645\) 104.953 110.797i 0.162717 0.171779i
\(646\) −147.056 + 1352.15i −0.227640 + 2.09312i
\(647\) −68.9431 + 173.034i −0.106558 + 0.267441i −0.972581 0.232563i \(-0.925289\pi\)
0.866023 + 0.500004i \(0.166668\pi\)
\(648\) 179.254i 0.276626i
\(649\) −928.669 532.679i −1.43092 0.820769i
\(650\) 785.211 1.20802
\(651\) 18.6350 + 7.42488i 0.0286252 + 0.0114053i
\(652\) 1568.01 + 170.532i 2.40493 + 0.261552i
\(653\) 418.836 + 396.743i 0.641403 + 0.607569i 0.937666 0.347537i \(-0.112982\pi\)
−0.296263 + 0.955106i \(0.595741\pi\)
\(654\) −11.5576 + 13.6066i −0.0176721 + 0.0208052i
\(655\) 270.121 + 143.209i 0.412399 + 0.218640i
\(656\) 1577.43 + 949.108i 2.40462 + 1.44681i
\(657\) −78.8981 170.536i −0.120089 0.259567i
\(658\) 1608.50 + 354.057i 2.44452 + 0.538080i
\(659\) 304.664 161.523i 0.462313 0.245103i −0.220936 0.975288i \(-0.570911\pi\)
0.683249 + 0.730185i \(0.260566\pi\)
\(660\) −543.048 29.4432i −0.822800 0.0446109i
\(661\) 194.723 + 229.246i 0.294589 + 0.346816i 0.889467 0.456999i \(-0.151076\pi\)
−0.594879 + 0.803816i \(0.702800\pi\)
\(662\) −228.447 1037.85i −0.345086 1.56774i
\(663\) −290.178 381.723i −0.437674 0.575751i
\(664\) −800.191 + 757.981i −1.20511 + 1.14154i
\(665\) −9.01225 166.221i −0.0135523 0.249957i
\(666\) 234.710 141.220i 0.352417 0.212042i
\(667\) −375.586 254.653i −0.563097 0.381789i
\(668\) −446.047 + 1606.52i −0.667736 + 2.40497i
\(669\) −186.314 + 20.2629i −0.278497 + 0.0302883i
\(670\) −611.185 464.611i −0.912216 0.693449i
\(671\) 120.687 + 55.8358i 0.179861 + 0.0832128i
\(672\) 486.078 329.569i 0.723330 0.490430i
\(673\) −6.04066 17.9281i −0.00897573 0.0266390i 0.943072 0.332589i \(-0.107922\pi\)
−0.952047 + 0.305950i \(0.901026\pi\)
\(674\) 36.1687 + 220.619i 0.0536628 + 0.327328i
\(675\) −18.1880 + 110.942i −0.0269451 + 0.164358i
\(676\) 634.357 + 213.740i 0.938399 + 0.316183i
\(677\) 87.2725 + 314.327i 0.128911 + 0.464294i 0.999622 0.0275007i \(-0.00875486\pi\)
−0.870711 + 0.491795i \(0.836341\pi\)
\(678\) −146.668 368.109i −0.216324 0.542934i
\(679\) 495.232 197.318i 0.729355 0.290602i
\(680\) 984.140 273.245i 1.44727 0.401831i
\(681\) 213.265 632.949i 0.313165 0.929441i
\(682\) 111.164 + 18.2245i 0.162998 + 0.0267221i
\(683\) 565.278 92.6727i 0.827640 0.135685i 0.266950 0.963710i \(-0.413984\pi\)
0.560690 + 0.828026i \(0.310536\pi\)
\(684\) −355.985 + 119.945i −0.520446 + 0.175359i
\(685\) 172.552 + 254.495i 0.251901 + 0.371526i
\(686\) −539.265 + 1165.60i −0.786100 + 1.69913i
\(687\) 361.750 475.873i 0.526564 0.692683i
\(688\) 183.162 + 1684.15i 0.266224 + 2.44789i
\(689\) 464.596 + 128.994i 0.674305 + 0.187220i
\(690\) −171.586 + 253.070i −0.248675 + 0.366768i
\(691\) −338.227 562.138i −0.489475 0.813514i 0.509420 0.860518i \(-0.329860\pi\)
−0.998895 + 0.0470044i \(0.985033\pi\)
\(692\) 767.236 41.5984i 1.10872 0.0601132i
\(693\) 255.982 + 270.236i 0.369382 + 0.389952i
\(694\) −1016.78 + 772.936i −1.46510 + 1.11374i
\(695\) 81.5176 17.9434i 0.117292 0.0258178i
\(696\) −454.371 + 385.946i −0.652832 + 0.554520i
\(697\) 79.0169 1457.38i 0.113367 2.09093i
\(698\) −115.559 217.968i −0.165558 0.312275i
\(699\) 110.358 501.363i 0.157880 0.717258i
\(700\) 1266.68 586.030i 1.80955 0.837186i
\(701\) −443.105 + 736.446i −0.632104 + 1.05056i 0.360914 + 0.932599i \(0.382465\pi\)
−0.993018 + 0.117966i \(0.962363\pi\)
\(702\) 88.3326 166.613i 0.125830 0.237341i
\(703\) 252.005 + 214.055i 0.358470 + 0.304488i
\(704\) 507.717 535.990i 0.721189 0.761350i
\(705\) −22.5726 + 207.552i −0.0320179 + 0.294400i
\(706\) −415.598 + 1043.07i −0.588665 + 1.47744i
\(707\) 1290.80i 1.82574i
\(708\) 226.857 + 937.003i 0.320419 + 1.32345i
\(709\) −573.685 −0.809147 −0.404573 0.914506i \(-0.632580\pi\)
−0.404573 + 0.914506i \(0.632580\pi\)
\(710\) 382.040 + 152.219i 0.538085 + 0.214393i
\(711\) 131.001 + 14.2472i 0.184249 + 0.0200382i
\(712\) −1387.65 1314.45i −1.94895 1.84614i
\(713\) 28.7924 33.8970i 0.0403821 0.0475414i
\(714\) −1072.27 568.482i −1.50178 0.796193i
\(715\) 282.382 + 169.904i 0.394940 + 0.237627i
\(716\) 512.756 + 1108.30i 0.716139 + 1.54791i
\(717\) −339.289 74.6832i −0.473207 0.104161i
\(718\) −1727.13 + 915.664i −2.40547 + 1.27530i
\(719\) −813.069 44.0833i −1.13083 0.0613120i −0.520793 0.853683i \(-0.674364\pi\)
−0.610040 + 0.792371i \(0.708847\pi\)
\(720\) 125.624 + 147.896i 0.174478 + 0.205411i
\(721\) 91.7410 + 416.783i 0.127241 + 0.578063i
\(722\) 409.978 + 539.317i 0.567836 + 0.746976i
\(723\) 218.647 207.113i 0.302416 0.286464i
\(724\) −40.6369 749.503i −0.0561283 1.03523i
\(725\) −320.374 + 192.762i −0.441895 + 0.265879i
\(726\) 1094.33 + 741.973i 1.50734 + 1.02200i
\(727\) −73.6192 + 265.153i −0.101264 + 0.364721i −0.996768 0.0803326i \(-0.974402\pi\)
0.895504 + 0.445054i \(0.146816\pi\)
\(728\) −1340.60 + 145.799i −1.84149 + 0.200274i
\(729\) 21.4945 + 16.3397i 0.0294849 + 0.0224139i
\(730\) −382.157 176.804i −0.523502 0.242198i
\(731\) 1111.65 753.720i 1.52073 1.03108i
\(732\) −38.2353 113.478i −0.0522340 0.155025i
\(733\) −99.4965 606.902i −0.135739 0.827970i −0.963661 0.267127i \(-0.913926\pi\)
0.827923 0.560842i \(-0.189523\pi\)
\(734\) 158.051 964.067i 0.215328 1.31344i
\(735\) −6.75771 2.27694i −0.00919417 0.00309787i
\(736\) −348.335 1254.59i −0.473282 1.70461i
\(737\) 767.004 + 1925.03i 1.04071 + 2.61199i
\(738\) 533.246 212.465i 0.722556 0.287892i
\(739\) −133.324 + 37.0173i −0.180412 + 0.0500911i −0.356559 0.934273i \(-0.616050\pi\)
0.176147 + 0.984364i \(0.443636\pi\)
\(740\) 137.639 408.497i 0.185998 0.552023i
\(741\) 224.635 + 36.8270i 0.303150 + 0.0496990i
\(742\) 1204.34 197.442i 1.62310 0.266094i
\(743\) 607.321 204.630i 0.817390 0.275411i 0.120614 0.992699i \(-0.461514\pi\)
0.696776 + 0.717289i \(0.254617\pi\)
\(744\) −32.7901 48.3619i −0.0440728 0.0650025i
\(745\) −174.678 + 377.561i −0.234467 + 0.506793i
\(746\) −998.537 + 1313.55i −1.33852 + 1.76080i
\(747\) 17.9497 + 165.045i 0.0240290 + 0.220943i
\(748\) −4611.66 1280.42i −6.16532 1.71179i
\(749\) −557.634 + 822.448i −0.744504 + 1.09806i
\(750\) 279.963 + 465.303i 0.373285 + 0.620404i
\(751\) −1267.30 + 68.7108i −1.68748 + 0.0914925i −0.872693 0.488269i \(-0.837628\pi\)
−0.814786 + 0.579762i \(0.803146\pi\)
\(752\) −1593.74 1682.49i −2.11933 2.23735i
\(753\) −329.933 + 250.809i −0.438158 + 0.333079i
\(754\) 612.515 134.825i 0.812355 0.178813i
\(755\) 165.865 140.887i 0.219689 0.186606i
\(756\) 18.1470 334.702i 0.0240040 0.442727i
\(757\) −128.405 242.197i −0.169623 0.319944i 0.784097 0.620638i \(-0.213126\pi\)
−0.953721 + 0.300694i \(0.902782\pi\)
\(758\) 132.733 603.010i 0.175109 0.795528i
\(759\) 749.000 346.524i 0.986825 0.456554i
\(760\) −249.982 + 415.473i −0.328923 + 0.546675i
\(761\) −357.315 + 673.967i −0.469533 + 0.885633i 0.529764 + 0.848145i \(0.322281\pi\)
−0.999297 + 0.0374883i \(0.988064\pi\)
\(762\) −608.806 517.124i −0.798958 0.678641i
\(763\) 13.2237 13.9601i 0.0173312 0.0182963i
\(764\) 322.538 2965.69i 0.422170 3.88179i
\(765\) 56.9432 142.917i 0.0744355 0.186819i
\(766\) 1769.62i 2.31021i
\(767\) 144.506 566.048i 0.188404 0.738003i
\(768\) 594.348 0.773891
\(769\) 786.170 + 313.239i 1.02233 + 0.407333i 0.820231 0.572033i \(-0.193845\pi\)
0.202097 + 0.979365i \(0.435224\pi\)
\(770\) 829.245 + 90.1859i 1.07694 + 0.117125i
\(771\) 289.424 + 274.157i 0.375388 + 0.355586i
\(772\) 2178.17 2564.34i 2.82147 3.32169i
\(773\) −830.082 440.082i −1.07384 0.569316i −0.164933 0.986305i \(-0.552741\pi\)
−0.908912 + 0.416988i \(0.863086\pi\)