Properties

Label 128.3.l.a.3.8
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.8
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.52087 - 1.29883i) q^{2} +(3.39289 - 2.78447i) q^{3} +(0.626076 + 3.95070i) q^{4} +(-2.17916 - 0.661042i) q^{5} +(-8.77669 - 0.171976i) q^{6} +(-1.02400 - 5.14798i) q^{7} +(4.17911 - 6.82166i) q^{8} +(2.00260 - 10.0677i) q^{9} +O(q^{10})\) \(q+(-1.52087 - 1.29883i) q^{2} +(3.39289 - 2.78447i) q^{3} +(0.626076 + 3.95070i) q^{4} +(-2.17916 - 0.661042i) q^{5} +(-8.77669 - 0.171976i) q^{6} +(-1.02400 - 5.14798i) q^{7} +(4.17911 - 6.82166i) q^{8} +(2.00260 - 10.0677i) q^{9} +(2.45564 + 3.83572i) q^{10} +(-1.58823 - 16.1256i) q^{11} +(13.1248 + 11.6610i) q^{12} +(3.26819 + 10.7738i) q^{13} +(-5.12899 + 9.15939i) q^{14} +(-9.23431 + 3.82498i) q^{15} +(-15.2161 + 4.94688i) q^{16} +(0.474036 - 1.14443i) q^{17} +(-16.1220 + 12.7107i) q^{18} +(2.81029 - 5.25768i) q^{19} +(1.24726 - 9.02308i) q^{20} +(-17.8087 - 14.6152i) q^{21} +(-18.5289 + 26.5877i) q^{22} +(8.00349 - 5.34776i) q^{23} +(-4.81545 - 34.7817i) q^{24} +(-16.4750 - 11.0082i) q^{25} +(9.02282 - 20.6303i) q^{26} +(-2.61729 - 4.89660i) q^{27} +(19.6970 - 7.26853i) q^{28} +(-2.14766 + 21.8056i) q^{29} +(19.0122 + 6.17652i) q^{30} +(11.2675 + 11.2675i) q^{31} +(29.5668 + 12.2395i) q^{32} +(-50.2899 - 50.2899i) q^{33} +(-2.20736 + 1.12483i) q^{34} +(-1.17157 + 11.8952i) q^{35} +(41.0284 + 1.60849i) q^{36} +(18.0191 + 33.7114i) q^{37} +(-11.1029 + 4.34615i) q^{38} +(41.0878 + 27.4540i) q^{39} +(-13.6164 + 12.1029i) q^{40} +(55.3151 - 36.9603i) q^{41} +(8.10197 + 45.3583i) q^{42} +(48.4484 + 39.7605i) q^{43} +(62.7129 - 16.3704i) q^{44} +(-11.0192 + 20.6154i) q^{45} +(-19.1181 - 2.26195i) q^{46} +(-14.5449 + 35.1144i) q^{47} +(-37.8519 + 59.1529i) q^{48} +(19.8170 - 8.20846i) q^{49} +(10.7584 + 38.1402i) q^{50} +(-1.57827 - 5.20285i) q^{51} +(-40.5178 + 19.6568i) q^{52} +(-9.46559 - 96.1058i) q^{53} +(-2.37931 + 10.8465i) q^{54} +(-7.19866 + 36.1901i) q^{55} +(-39.3972 - 14.5286i) q^{56} +(-5.10487 - 25.6639i) q^{57} +(31.5881 - 30.3740i) q^{58} +(83.0295 + 25.1867i) q^{59} +(-20.8927 - 34.0872i) q^{60} +(-86.0711 + 70.6367i) q^{61} +(-2.50179 - 31.7708i) q^{62} -53.8791 q^{63} +(-29.0700 - 57.0170i) q^{64} -25.6382i q^{65} +(11.1662 + 141.802i) q^{66} +(-6.03024 - 7.34787i) q^{67} +(4.81806 + 1.15628i) q^{68} +(12.2643 - 40.4298i) q^{69} +(17.2316 - 16.5693i) q^{70} +(120.007 - 23.8709i) q^{71} +(-60.3095 - 55.7352i) q^{72} +(4.09996 + 0.815532i) q^{73} +(16.3807 - 74.6743i) q^{74} +(-86.5498 + 8.52441i) q^{75} +(22.5310 + 7.81091i) q^{76} +(-81.3877 + 24.6887i) q^{77} +(-26.8310 - 95.1200i) q^{78} +(6.00411 + 14.4952i) q^{79} +(36.4284 - 0.721597i) q^{80} +(62.8378 + 26.0283i) q^{81} +(-132.132 - 15.6331i) q^{82} +(-135.698 - 72.5320i) q^{83} +(46.5908 - 79.5071i) q^{84} +(-1.78952 + 2.18053i) q^{85} +(-22.0413 - 123.397i) q^{86} +(53.4302 + 79.9640i) q^{87} +(-116.640 - 56.5562i) q^{88} +(-11.6148 + 17.3828i) q^{89} +(43.5347 - 17.0413i) q^{90} +(52.1165 - 27.8568i) q^{91} +(26.1382 + 28.2713i) q^{92} +(69.6031 + 6.85531i) q^{93} +(67.7284 - 34.5130i) q^{94} +(-9.59963 + 9.59963i) q^{95} +(134.397 - 40.8004i) q^{96} +(-56.8979 + 56.8979i) q^{97} +(-40.8004 - 13.2549i) q^{98} +(-165.528 - 16.3031i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.52087 1.29883i −0.760434 0.649416i
\(3\) 3.39289 2.78447i 1.13096 0.928157i 0.132947 0.991123i \(-0.457556\pi\)
0.998016 + 0.0629660i \(0.0200560\pi\)
\(4\) 0.626076 + 3.95070i 0.156519 + 0.987675i
\(5\) −2.17916 0.661042i −0.435833 0.132208i 0.0647415 0.997902i \(-0.479378\pi\)
−0.500574 + 0.865694i \(0.666878\pi\)
\(6\) −8.77669 0.171976i −1.46278 0.0286627i
\(7\) −1.02400 5.14798i −0.146285 0.735426i −0.982388 0.186853i \(-0.940171\pi\)
0.836103 0.548573i \(-0.184829\pi\)
\(8\) 4.17911 6.82166i 0.522389 0.852707i
\(9\) 2.00260 10.0677i 0.222511 1.11864i
\(10\) 2.45564 + 3.83572i 0.245564 + 0.383572i
\(11\) −1.58823 16.1256i −0.144385 1.46596i −0.745343 0.666681i \(-0.767714\pi\)
0.600959 0.799280i \(-0.294786\pi\)
\(12\) 13.1248 + 11.6610i 1.09373 + 0.971749i
\(13\) 3.26819 + 10.7738i 0.251399 + 0.828751i 0.988270 + 0.152718i \(0.0488025\pi\)
−0.736871 + 0.676033i \(0.763697\pi\)
\(14\) −5.12899 + 9.15939i −0.366357 + 0.654242i
\(15\) −9.23431 + 3.82498i −0.615620 + 0.254998i
\(16\) −15.2161 + 4.94688i −0.951004 + 0.309180i
\(17\) 0.474036 1.14443i 0.0278845 0.0673191i −0.909324 0.416089i \(-0.863400\pi\)
0.937208 + 0.348770i \(0.113400\pi\)
\(18\) −16.1220 + 12.7107i −0.895665 + 0.706147i
\(19\) 2.81029 5.25768i 0.147910 0.276720i −0.797045 0.603919i \(-0.793605\pi\)
0.944955 + 0.327199i \(0.106105\pi\)
\(20\) 1.24726 9.02308i 0.0623628 0.451154i
\(21\) −17.8087 14.6152i −0.848034 0.695963i
\(22\) −18.5289 + 26.5877i −0.842223 + 1.20853i
\(23\) 8.00349 5.34776i 0.347978 0.232511i −0.369282 0.929318i \(-0.620396\pi\)
0.717259 + 0.696806i \(0.245396\pi\)
\(24\) −4.81545 34.7817i −0.200644 1.44924i
\(25\) −16.4750 11.0082i −0.658999 0.440329i
\(26\) 9.02282 20.6303i 0.347032 0.793473i
\(27\) −2.61729 4.89660i −0.0969366 0.181356i
\(28\) 19.6970 7.26853i 0.703465 0.259590i
\(29\) −2.14766 + 21.8056i −0.0740573 + 0.751917i 0.884409 + 0.466712i \(0.154562\pi\)
−0.958467 + 0.285205i \(0.907938\pi\)
\(30\) 19.0122 + 6.17652i 0.633738 + 0.205884i
\(31\) 11.2675 + 11.2675i 0.363466 + 0.363466i 0.865087 0.501621i \(-0.167263\pi\)
−0.501621 + 0.865087i \(0.667263\pi\)
\(32\) 29.5668 + 12.2395i 0.923961 + 0.382486i
\(33\) −50.2899 50.2899i −1.52394 1.52394i
\(34\) −2.20736 + 1.12483i −0.0649224 + 0.0330831i
\(35\) −1.17157 + 11.8952i −0.0334735 + 0.339863i
\(36\) 41.0284 + 1.60849i 1.13968 + 0.0446804i
\(37\) 18.0191 + 33.7114i 0.487003 + 0.911118i 0.998651 + 0.0519234i \(0.0165352\pi\)
−0.511648 + 0.859195i \(0.670965\pi\)
\(38\) −11.1029 + 4.34615i −0.292182 + 0.114372i
\(39\) 41.0878 + 27.4540i 1.05353 + 0.703949i
\(40\) −13.6164 + 12.1029i −0.340409 + 0.302573i
\(41\) 55.3151 36.9603i 1.34915 0.901472i 0.349773 0.936834i \(-0.386259\pi\)
0.999375 + 0.0353628i \(0.0112587\pi\)
\(42\) 8.10197 + 45.3583i 0.192904 + 1.07996i
\(43\) 48.4484 + 39.7605i 1.12671 + 0.924664i 0.997754 0.0669871i \(-0.0213386\pi\)
0.128952 + 0.991651i \(0.458839\pi\)
\(44\) 62.7129 16.3704i 1.42529 0.372056i
\(45\) −11.0192 + 20.6154i −0.244871 + 0.458121i
\(46\) −19.1181 2.26195i −0.415611 0.0491727i
\(47\) −14.5449 + 35.1144i −0.309465 + 0.747115i 0.690258 + 0.723564i \(0.257497\pi\)
−0.999723 + 0.0235509i \(0.992503\pi\)
\(48\) −37.8519 + 59.1529i −0.788582 + 1.23235i
\(49\) 19.8170 8.20846i 0.404428 0.167520i
\(50\) 10.7584 + 38.1402i 0.215168 + 0.762805i
\(51\) −1.57827 5.20285i −0.0309464 0.102017i
\(52\) −40.5178 + 19.6568i −0.779188 + 0.378016i
\(53\) −9.46559 96.1058i −0.178596 1.81332i −0.499620 0.866245i \(-0.666527\pi\)
0.321023 0.947071i \(-0.395973\pi\)
\(54\) −2.37931 + 10.8465i −0.0440613 + 0.200861i
\(55\) −7.19866 + 36.1901i −0.130885 + 0.658002i
\(56\) −39.3972 14.5286i −0.703521 0.259440i
\(57\) −5.10487 25.6639i −0.0895591 0.450244i
\(58\) 31.5881 30.3740i 0.544622 0.523689i
\(59\) 83.0295 + 25.1867i 1.40728 + 0.426894i 0.900377 0.435110i \(-0.143291\pi\)
0.506902 + 0.862004i \(0.330791\pi\)
\(60\) −20.8927 34.0872i −0.348212 0.568121i
\(61\) −86.0711 + 70.6367i −1.41100 + 1.15798i −0.446221 + 0.894923i \(0.647231\pi\)
−0.964780 + 0.263056i \(0.915269\pi\)
\(62\) −2.50179 31.7708i −0.0403514 0.512433i
\(63\) −53.8791 −0.855224
\(64\) −29.0700 57.0170i −0.454219 0.890890i
\(65\) 25.6382i 0.394434i
\(66\) 11.1662 + 141.802i 0.169185 + 2.14852i
\(67\) −6.03024 7.34787i −0.0900036 0.109670i 0.726061 0.687630i \(-0.241349\pi\)
−0.816065 + 0.577960i \(0.803849\pi\)
\(68\) 4.81806 + 1.15628i 0.0708539 + 0.0170041i
\(69\) 12.2643 40.4298i 0.177743 0.585940i
\(70\) 17.2316 16.5693i 0.246166 0.236705i
\(71\) 120.007 23.8709i 1.69024 0.336210i 0.746121 0.665810i \(-0.231914\pi\)
0.944121 + 0.329600i \(0.106914\pi\)
\(72\) −60.3095 55.7352i −0.837633 0.774100i
\(73\) 4.09996 + 0.815532i 0.0561638 + 0.0111717i 0.223092 0.974797i \(-0.428385\pi\)
−0.166928 + 0.985969i \(0.553385\pi\)
\(74\) 16.3807 74.6743i 0.221361 1.00911i
\(75\) −86.5498 + 8.52441i −1.15400 + 0.113659i
\(76\) 22.5310 + 7.81091i 0.296460 + 0.102775i
\(77\) −81.3877 + 24.6887i −1.05698 + 0.320633i
\(78\) −26.8310 95.1200i −0.343987 1.21949i
\(79\) 6.00411 + 14.4952i 0.0760015 + 0.183484i 0.957314 0.289050i \(-0.0933394\pi\)
−0.881313 + 0.472534i \(0.843339\pi\)
\(80\) 36.4284 0.721597i 0.455354 0.00901996i
\(81\) 62.8378 + 26.0283i 0.775775 + 0.321336i
\(82\) −132.132 15.6331i −1.61137 0.190648i
\(83\) −135.698 72.5320i −1.63491 0.873879i −0.994371 0.105957i \(-0.966209\pi\)
−0.640543 0.767923i \(-0.721291\pi\)
\(84\) 46.5908 79.5071i 0.554652 0.946513i
\(85\) −1.78952 + 2.18053i −0.0210531 + 0.0256533i
\(86\) −22.0413 123.397i −0.256294 1.43485i
\(87\) 53.4302 + 79.9640i 0.614141 + 0.919127i
\(88\) −116.640 56.5562i −1.32546 0.642684i
\(89\) −11.6148 + 17.3828i −0.130503 + 0.195312i −0.890967 0.454069i \(-0.849972\pi\)
0.760463 + 0.649381i \(0.224972\pi\)
\(90\) 43.5347 17.0413i 0.483718 0.189348i
\(91\) 52.1165 27.8568i 0.572709 0.306119i
\(92\) 26.1382 + 28.2713i 0.284111 + 0.307297i
\(93\) 69.6031 + 6.85531i 0.748421 + 0.0737130i
\(94\) 67.7284 34.5130i 0.720515 0.367160i
\(95\) −9.59963 + 9.59963i −0.101049 + 0.101049i
\(96\) 134.397 40.8004i 1.39997 0.425004i
\(97\) −56.8979 + 56.8979i −0.586577 + 0.586577i −0.936703 0.350126i \(-0.886139\pi\)
0.350126 + 0.936703i \(0.386139\pi\)
\(98\) −40.8004 13.2549i −0.416331 0.135254i
\(99\) −165.528 16.3031i −1.67200 0.164678i
\(100\) 33.1756 71.9796i 0.331756 0.719796i
\(101\) −90.7122 + 48.4867i −0.898140 + 0.480066i −0.854778 0.518993i \(-0.826307\pi\)
−0.0433621 + 0.999059i \(0.513807\pi\)
\(102\) −4.35729 + 9.96274i −0.0427185 + 0.0976740i
\(103\) −9.76672 + 14.6169i −0.0948225 + 0.141912i −0.875848 0.482588i \(-0.839697\pi\)
0.781025 + 0.624500i \(0.214697\pi\)
\(104\) 87.1530 + 22.7303i 0.838010 + 0.218561i
\(105\) 29.1468 + 43.6213i 0.277589 + 0.415441i
\(106\) −110.429 + 158.458i −1.04179 + 1.49489i
\(107\) −120.802 + 147.198i −1.12899 + 1.37568i −0.211766 + 0.977320i \(0.567921\pi\)
−0.917228 + 0.398363i \(0.869579\pi\)
\(108\) 17.7064 13.4058i 0.163948 0.124127i
\(109\) −16.1088 8.61035i −0.147788 0.0789941i 0.395845 0.918317i \(-0.370452\pi\)
−0.543633 + 0.839323i \(0.682952\pi\)
\(110\) 57.9531 45.6905i 0.526846 0.415368i
\(111\) 155.005 + 64.2053i 1.39644 + 0.578426i
\(112\) 41.0476 + 73.2664i 0.366496 + 0.654164i
\(113\) 36.4343 + 87.9601i 0.322427 + 0.778408i 0.999112 + 0.0421349i \(0.0134159\pi\)
−0.676685 + 0.736273i \(0.736584\pi\)
\(114\) −25.5693 + 45.6618i −0.224292 + 0.400542i
\(115\) −20.9760 + 6.36300i −0.182400 + 0.0553304i
\(116\) −87.4919 + 5.16718i −0.754241 + 0.0445447i
\(117\) 115.012 11.3277i 0.983010 0.0968181i
\(118\) −93.5636 146.147i −0.792912 1.23853i
\(119\) −6.37689 1.26844i −0.0535873 0.0106592i
\(120\) −12.4985 + 78.9783i −0.104155 + 0.658152i
\(121\) −138.836 + 27.6163i −1.14741 + 0.228234i
\(122\) 222.648 + 4.36272i 1.82498 + 0.0357600i
\(123\) 84.7628 279.425i 0.689128 2.27175i
\(124\) −37.4600 + 51.5686i −0.302097 + 0.415876i
\(125\) 64.7410 + 78.8872i 0.517928 + 0.631098i
\(126\) 81.9430 + 69.9799i 0.650341 + 0.555396i
\(127\) 107.911i 0.849692i −0.905266 0.424846i \(-0.860328\pi\)
0.905266 0.424846i \(-0.139672\pi\)
\(128\) −29.8437 + 124.472i −0.233154 + 0.972440i
\(129\) 275.092 2.13250
\(130\) −33.2997 + 38.9923i −0.256151 + 0.299941i
\(131\) −85.6828 + 70.3180i −0.654067 + 0.536779i −0.901857 0.432035i \(-0.857796\pi\)
0.247790 + 0.968814i \(0.420296\pi\)
\(132\) 167.195 230.165i 1.26663 1.74368i
\(133\) −29.9442 9.08347i −0.225144 0.0682967i
\(134\) −0.372444 + 19.0074i −0.00277943 + 0.141846i
\(135\) 2.46664 + 12.4006i 0.0182714 + 0.0918565i
\(136\) −5.82583 8.01640i −0.0428370 0.0589441i
\(137\) −2.26388 + 11.3813i −0.0165247 + 0.0830751i −0.988168 0.153378i \(-0.950985\pi\)
0.971643 + 0.236453i \(0.0759849\pi\)
\(138\) −71.1638 + 45.5592i −0.515680 + 0.330139i
\(139\) −16.6240 168.786i −0.119597 1.21429i −0.848321 0.529482i \(-0.822386\pi\)
0.728724 0.684807i \(-0.240114\pi\)
\(140\) −47.7278 + 2.81875i −0.340913 + 0.0201340i
\(141\) 48.4259 + 159.639i 0.343446 + 1.13219i
\(142\) −213.519 119.565i −1.50366 0.842004i
\(143\) 168.542 69.8126i 1.17862 0.488200i
\(144\) 19.3322 + 163.098i 0.134251 + 1.13262i
\(145\) 19.0945 46.0982i 0.131686 0.317919i
\(146\) −5.17625 6.56547i −0.0354538 0.0449689i
\(147\) 44.3806 83.0302i 0.301909 0.564831i
\(148\) −121.902 + 92.2940i −0.823664 + 0.623608i
\(149\) −188.338 154.565i −1.26401 1.03735i −0.997290 0.0735767i \(-0.976559\pi\)
−0.266725 0.963773i \(-0.585941\pi\)
\(150\) 142.703 + 99.4491i 0.951350 + 0.662994i
\(151\) 207.966 138.958i 1.37726 0.920254i 0.377275 0.926101i \(-0.376861\pi\)
0.999983 + 0.00584688i \(0.00186113\pi\)
\(152\) −24.1216 41.1433i −0.158695 0.270680i
\(153\) −10.5725 7.06429i −0.0691011 0.0461719i
\(154\) 155.846 + 68.1607i 1.01199 + 0.442602i
\(155\) −17.1054 32.0019i −0.110357 0.206464i
\(156\) −82.7384 + 179.514i −0.530375 + 1.15073i
\(157\) −4.41719 + 44.8485i −0.0281350 + 0.285659i 0.970814 + 0.239832i \(0.0770923\pi\)
−0.998949 + 0.0458271i \(0.985408\pi\)
\(158\) 9.69537 29.8436i 0.0613631 0.188884i
\(159\) −299.719 299.719i −1.88503 1.88503i
\(160\) −56.3399 46.2168i −0.352125 0.288855i
\(161\) −35.7257 35.7257i −0.221899 0.221899i
\(162\) −61.7616 121.201i −0.381245 0.748155i
\(163\) −20.8904 + 212.104i −0.128162 + 1.30125i 0.688965 + 0.724795i \(0.258066\pi\)
−0.817127 + 0.576458i \(0.804434\pi\)
\(164\) 180.651 + 195.393i 1.10153 + 1.19142i
\(165\) 76.3461 + 142.833i 0.462704 + 0.865658i
\(166\) 112.172 + 286.560i 0.675732 + 1.72627i
\(167\) −103.140 68.9160i −0.617605 0.412671i 0.207031 0.978334i \(-0.433620\pi\)
−0.824636 + 0.565664i \(0.808620\pi\)
\(168\) −174.125 + 60.4062i −1.03646 + 0.359561i
\(169\) 35.1254 23.4701i 0.207843 0.138876i
\(170\) 5.55376 0.992020i 0.0326692 0.00583541i
\(171\) −47.3051 38.8223i −0.276638 0.227031i
\(172\) −126.750 + 216.298i −0.736916 + 1.25755i
\(173\) 92.2596 172.606i 0.533292 0.997720i −0.460625 0.887595i \(-0.652375\pi\)
0.993918 0.110125i \(-0.0351252\pi\)
\(174\) 22.5994 191.012i 0.129882 1.09777i
\(175\) −39.7998 + 96.0852i −0.227427 + 0.549058i
\(176\) 103.938 + 237.511i 0.590556 + 1.34949i
\(177\) 351.841 145.738i 1.98780 0.823376i
\(178\) 40.2418 11.3512i 0.226078 0.0637710i
\(179\) 30.3704 + 100.118i 0.169667 + 0.559317i 0.999998 + 0.00204614i \(0.000651308\pi\)
−0.830331 + 0.557270i \(0.811849\pi\)
\(180\) −88.3442 30.6266i −0.490801 0.170148i
\(181\) 11.1368 + 113.074i 0.0615292 + 0.624717i 0.975659 + 0.219294i \(0.0703755\pi\)
−0.914129 + 0.405422i \(0.867124\pi\)
\(182\) −115.444 25.3240i −0.634306 0.139143i
\(183\) −95.3437 + 479.325i −0.521004 + 2.61926i
\(184\) −3.03311 76.9460i −0.0164843 0.418185i
\(185\) −16.9819 85.3740i −0.0917943 0.461481i
\(186\) −96.9532 100.829i −0.521254 0.542090i
\(187\) −19.2074 5.82650i −0.102713 0.0311577i
\(188\) −147.833 35.4781i −0.786343 0.188713i
\(189\) −22.5275 + 18.4878i −0.119193 + 0.0978193i
\(190\) 27.0681 2.13147i 0.142463 0.0112183i
\(191\) −98.5136 −0.515778 −0.257889 0.966175i \(-0.583027\pi\)
−0.257889 + 0.966175i \(0.583027\pi\)
\(192\) −257.393 112.508i −1.34059 0.585977i
\(193\) 111.898i 0.579782i −0.957060 0.289891i \(-0.906381\pi\)
0.957060 0.289891i \(-0.0936191\pi\)
\(194\) 160.435 12.6334i 0.826984 0.0651207i
\(195\) −71.3888 86.9875i −0.366096 0.446090i
\(196\) 44.8361 + 73.1518i 0.228756 + 0.373223i
\(197\) −22.6992 + 74.8293i −0.115224 + 0.379844i −0.995516 0.0945881i \(-0.969847\pi\)
0.880292 + 0.474432i \(0.157347\pi\)
\(198\) 230.572 + 239.788i 1.16450 + 1.21105i
\(199\) −121.821 + 24.2316i −0.612164 + 0.121767i −0.491429 0.870918i \(-0.663525\pi\)
−0.120735 + 0.992685i \(0.538525\pi\)
\(200\) −143.945 + 66.3820i −0.719725 + 0.331910i
\(201\) −40.9199 8.13947i −0.203581 0.0404949i
\(202\) 200.937 + 44.0780i 0.994738 + 0.218208i
\(203\) 114.454 11.2727i 0.563812 0.0555307i
\(204\) 19.5668 9.49264i 0.0959156 0.0465325i
\(205\) −144.973 + 43.9770i −0.707184 + 0.214522i
\(206\) 33.8388 9.54509i 0.164266 0.0463354i
\(207\) −37.8121 91.2864i −0.182667 0.440997i
\(208\) −103.025 147.767i −0.495314 0.710418i
\(209\) −89.2465 36.9671i −0.427017 0.176876i
\(210\) 12.3282 104.199i 0.0587059 0.496185i
\(211\) 162.062 + 86.6239i 0.768066 + 0.410540i 0.808390 0.588647i \(-0.200339\pi\)
−0.0403243 + 0.999187i \(0.512839\pi\)
\(212\) 373.759 97.5652i 1.76301 0.460213i
\(213\) 340.703 415.148i 1.59954 1.94905i
\(214\) 374.910 66.9670i 1.75192 0.312930i
\(215\) −79.2935 118.671i −0.368807 0.551958i
\(216\) −44.3409 2.60921i −0.205282 0.0120797i
\(217\) 46.4668 69.5424i 0.214133 0.320472i
\(218\) 13.3160 + 34.0179i 0.0610826 + 0.156045i
\(219\) 16.1815 8.64920i 0.0738882 0.0394941i
\(220\) −147.483 5.78199i −0.670378 0.0262818i
\(221\) 13.8790 + 1.36696i 0.0628009 + 0.00618535i
\(222\) −152.351 298.973i −0.686264 1.34673i
\(223\) 176.128 176.128i 0.789810 0.789810i −0.191653 0.981463i \(-0.561385\pi\)
0.981463 + 0.191653i \(0.0613847\pi\)
\(224\) 32.7327 164.742i 0.146128 0.735457i
\(225\) −143.821 + 143.821i −0.639202 + 0.639202i
\(226\) 58.8336 181.098i 0.260326 0.801317i
\(227\) −101.450 9.99199i −0.446918 0.0440176i −0.127945 0.991781i \(-0.540838\pi\)
−0.318973 + 0.947764i \(0.603338\pi\)
\(228\) 98.1944 36.2354i 0.430677 0.158927i
\(229\) −68.0003 + 36.3469i −0.296944 + 0.158720i −0.613141 0.789974i \(-0.710094\pi\)
0.316196 + 0.948694i \(0.397594\pi\)
\(230\) 40.1662 + 17.5670i 0.174636 + 0.0763783i
\(231\) −207.395 + 310.388i −0.897812 + 1.34367i
\(232\) 139.775 + 105.779i 0.602478 + 0.455942i
\(233\) −124.609 186.491i −0.534804 0.800391i 0.461422 0.887181i \(-0.347339\pi\)
−0.996227 + 0.0867895i \(0.972339\pi\)
\(234\) −189.631 132.153i −0.810390 0.564759i
\(235\) 54.9077 66.9052i 0.233650 0.284703i
\(236\) −47.5224 + 343.793i −0.201366 + 1.45675i
\(237\) 60.7328 + 32.4624i 0.256257 + 0.136972i
\(238\) 8.05091 + 10.2116i 0.0338274 + 0.0429060i
\(239\) −313.943 130.039i −1.31357 0.544098i −0.387645 0.921809i \(-0.626711\pi\)
−0.925924 + 0.377710i \(0.876711\pi\)
\(240\) 121.588 103.882i 0.506617 0.432842i
\(241\) 139.957 + 337.887i 0.580735 + 1.40202i 0.892148 + 0.451744i \(0.149198\pi\)
−0.311412 + 0.950275i \(0.600802\pi\)
\(242\) 247.021 + 138.324i 1.02075 + 0.571588i
\(243\) 333.495 101.164i 1.37241 0.416315i
\(244\) −332.952 295.817i −1.36456 1.21237i
\(245\) −48.6105 + 4.78772i −0.198410 + 0.0195417i
\(246\) −491.839 + 314.877i −1.99935 + 1.27999i
\(247\) 65.8296 + 13.0943i 0.266517 + 0.0530134i
\(248\) 123.951 29.7747i 0.499801 0.120059i
\(249\) −662.371 + 131.754i −2.66012 + 0.529131i
\(250\) 3.99858 204.065i 0.0159943 0.816259i
\(251\) 68.3950 225.468i 0.272490 0.898280i −0.708745 0.705465i \(-0.750738\pi\)
0.981235 0.192815i \(-0.0617617\pi\)
\(252\) −33.7324 212.860i −0.133859 0.844684i
\(253\) −98.9471 120.567i −0.391095 0.476551i
\(254\) −140.158 + 164.118i −0.551803 + 0.646134i
\(255\) 12.3812i 0.0485535i
\(256\) 207.057 150.544i 0.808816 0.588062i
\(257\) −104.693 −0.407365 −0.203683 0.979037i \(-0.565291\pi\)
−0.203683 + 0.979037i \(0.565291\pi\)
\(258\) −418.378 357.298i −1.62162 1.38488i
\(259\) 155.094 127.282i 0.598819 0.491438i
\(260\) 101.289 16.0515i 0.389572 0.0617364i
\(261\) 215.232 + 65.2899i 0.824643 + 0.250153i
\(262\) 221.643 + 4.34303i 0.845967 + 0.0165765i
\(263\) 31.8931 + 160.337i 0.121267 + 0.609648i 0.992847 + 0.119395i \(0.0380956\pi\)
−0.871580 + 0.490253i \(0.836904\pi\)
\(264\) −553.227 + 132.893i −2.09556 + 0.503383i
\(265\) −42.9029 + 215.687i −0.161898 + 0.813914i
\(266\) 33.7432 + 52.7072i 0.126854 + 0.198147i
\(267\) 8.99412 + 91.3189i 0.0336859 + 0.342018i
\(268\) 25.2538 28.4240i 0.0942307 0.106060i
\(269\) 69.2102 + 228.155i 0.257287 + 0.848161i 0.986484 + 0.163857i \(0.0523937\pi\)
−0.729197 + 0.684304i \(0.760106\pi\)
\(270\) 12.3549 22.0635i 0.0457588 0.0817165i
\(271\) 217.784 90.2091i 0.803631 0.332875i 0.0572211 0.998362i \(-0.481776\pi\)
0.746410 + 0.665487i \(0.231776\pi\)
\(272\) −1.55164 + 19.7586i −0.00570455 + 0.0726421i
\(273\) 99.2589 239.632i 0.363586 0.877773i
\(274\) 18.2254 14.3690i 0.0665162 0.0524417i
\(275\) −151.348 + 283.152i −0.550356 + 1.02964i
\(276\) 167.405 + 23.1403i 0.606538 + 0.0838415i
\(277\) −155.931 127.970i −0.562930 0.461984i 0.309380 0.950939i \(-0.399879\pi\)
−0.872309 + 0.488954i \(0.837379\pi\)
\(278\) −193.942 + 278.293i −0.697633 + 1.00105i
\(279\) 136.002 90.8735i 0.487462 0.325712i
\(280\) 76.2488 + 57.7034i 0.272317 + 0.206084i
\(281\) −97.0703 64.8603i −0.345446 0.230819i 0.370728 0.928741i \(-0.379108\pi\)
−0.716174 + 0.697922i \(0.754108\pi\)
\(282\) 133.695 305.687i 0.474094 1.08400i
\(283\) 78.5078 + 146.878i 0.277413 + 0.519003i 0.981585 0.191026i \(-0.0611816\pi\)
−0.704172 + 0.710029i \(0.748682\pi\)
\(284\) 169.440 + 459.167i 0.596621 + 1.61679i
\(285\) −5.84058 + 59.3004i −0.0204932 + 0.208071i
\(286\) −347.005 112.732i −1.21331 0.394170i
\(287\) −246.913 246.913i −0.860326 0.860326i
\(288\) 182.435 273.159i 0.633454 0.948470i
\(289\) 203.269 + 203.269i 0.703352 + 0.703352i
\(290\) −88.9140 + 45.3087i −0.306600 + 0.156237i
\(291\) −34.6177 + 351.479i −0.118961 + 1.20783i
\(292\) −0.655038 + 16.7083i −0.00224328 + 0.0572201i
\(293\) 188.765 + 353.155i 0.644250 + 1.20531i 0.966015 + 0.258487i \(0.0832241\pi\)
−0.321765 + 0.946820i \(0.604276\pi\)
\(294\) −175.339 + 68.6351i −0.596392 + 0.233453i
\(295\) −164.285 109.772i −0.556899 0.372108i
\(296\) 305.271 + 17.9635i 1.03132 + 0.0606874i
\(297\) −74.8036 + 49.9822i −0.251864 + 0.168290i
\(298\) 85.6834 + 479.692i 0.287528 + 1.60971i
\(299\) 83.7724 + 68.7502i 0.280175 + 0.229934i
\(300\) −87.8641 336.595i −0.292880 1.12198i
\(301\) 155.075 290.126i 0.515201 0.963873i
\(302\) −496.772 58.7753i −1.64494 0.194620i
\(303\) −172.767 + 417.095i −0.570187 + 1.37655i
\(304\) −16.7524 + 93.9034i −0.0551067 + 0.308893i
\(305\) 234.257 97.0323i 0.768055 0.318139i
\(306\) 6.90399 + 24.4757i 0.0225621 + 0.0799860i
\(307\) 54.5206 + 179.730i 0.177591 + 0.585440i 0.999866 + 0.0163499i \(0.00520456\pi\)
−0.822275 + 0.569090i \(0.807295\pi\)
\(308\) −148.493 306.082i −0.482119 0.993771i
\(309\) 7.56303 + 76.7888i 0.0244758 + 0.248507i
\(310\) −15.5500 + 70.8876i −0.0501614 + 0.228670i
\(311\) 36.2848 182.416i 0.116671 0.586546i −0.877576 0.479438i \(-0.840841\pi\)
0.994247 0.107109i \(-0.0341593\pi\)
\(312\) 358.992 165.554i 1.15062 0.530621i
\(313\) −75.7025 380.582i −0.241861 1.21592i −0.890558 0.454870i \(-0.849686\pi\)
0.648697 0.761047i \(-0.275314\pi\)
\(314\) 64.9685 62.4714i 0.206906 0.198953i
\(315\) 117.411 + 35.6164i 0.372735 + 0.113068i
\(316\) −53.5072 + 32.7956i −0.169327 + 0.103783i
\(317\) −156.219 + 128.206i −0.492804 + 0.404434i −0.847703 0.530471i \(-0.822015\pi\)
0.354899 + 0.934905i \(0.384515\pi\)
\(318\) 66.5486 + 845.118i 0.209272 + 2.65761i
\(319\) 355.038 1.11297
\(320\) 25.6577 + 143.466i 0.0801804 + 0.448330i
\(321\) 835.797i 2.60373i
\(322\) 7.93241 + 100.736i 0.0246348 + 0.312844i
\(323\) −4.68485 5.70850i −0.0145042 0.0176734i
\(324\) −63.4886 + 264.549i −0.195953 + 0.816509i
\(325\) 64.7567 213.474i 0.199251 0.656844i
\(326\) 307.259 295.449i 0.942513 0.906286i
\(327\) −78.6308 + 15.6406i −0.240461 + 0.0478307i
\(328\) −20.9629 531.802i −0.0639113 1.62135i
\(329\) 195.662 + 38.9196i 0.594717 + 0.118297i
\(330\) 69.4043 316.392i 0.210316 0.958762i
\(331\) 541.536 53.3366i 1.63606 0.161138i 0.762209 0.647332i \(-0.224115\pi\)
0.873851 + 0.486194i \(0.161615\pi\)
\(332\) 201.595 581.512i 0.607214 1.75154i
\(333\) 375.482 113.901i 1.12757 0.342046i
\(334\) 67.3522 + 238.774i 0.201653 + 0.714891i
\(335\) 8.28363 + 19.9984i 0.0247272 + 0.0596968i
\(336\) 343.278 + 134.289i 1.02166 + 0.399669i
\(337\) −176.783 73.2257i −0.524577 0.217287i 0.104649 0.994509i \(-0.466628\pi\)
−0.629226 + 0.777222i \(0.716628\pi\)
\(338\) −83.9048 9.92714i −0.248239 0.0293702i
\(339\) 368.540 + 196.989i 1.08714 + 0.581087i
\(340\) −9.73500 5.70466i −0.0286323 0.0167784i
\(341\) 163.799 199.589i 0.480348 0.585306i
\(342\) 21.5212 + 120.485i 0.0629274 + 0.352295i
\(343\) −205.438 307.460i −0.598945 0.896385i
\(344\) 473.704 164.334i 1.37705 0.477716i
\(345\) −53.4516 + 79.9960i −0.154932 + 0.231872i
\(346\) −364.500 + 142.681i −1.05347 + 0.412372i
\(347\) −138.195 + 73.8666i −0.398255 + 0.212872i −0.658351 0.752711i \(-0.728746\pi\)
0.260096 + 0.965583i \(0.416246\pi\)
\(348\) −282.462 + 261.150i −0.811674 + 0.750432i
\(349\) −466.497 45.9459i −1.33667 0.131650i −0.595709 0.803201i \(-0.703129\pi\)
−0.740959 + 0.671550i \(0.765629\pi\)
\(350\) 185.329 94.4396i 0.529510 0.269827i
\(351\) 44.2010 44.2010i 0.125929 0.125929i
\(352\) 150.411 496.220i 0.427303 1.40972i
\(353\) −236.751 + 236.751i −0.670684 + 0.670684i −0.957874 0.287190i \(-0.907279\pi\)
0.287190 + 0.957874i \(0.407279\pi\)
\(354\) −724.393 235.335i −2.04631 0.664789i
\(355\) −277.295 27.3111i −0.781112 0.0769328i
\(356\) −75.9458 35.0036i −0.213331 0.0983248i
\(357\) −25.1680 + 13.4526i −0.0704986 + 0.0376823i
\(358\) 83.8466 191.712i 0.234208 0.535507i
\(359\) −91.4510 + 136.866i −0.254738 + 0.381242i −0.936693 0.350152i \(-0.886130\pi\)
0.681955 + 0.731394i \(0.261130\pi\)
\(360\) 94.5810 + 161.323i 0.262725 + 0.448120i
\(361\) 180.815 + 270.609i 0.500874 + 0.749610i
\(362\) 129.926 186.435i 0.358912 0.515014i
\(363\) −394.160 + 480.285i −1.08584 + 1.32310i
\(364\) 142.683 + 188.456i 0.391986 + 0.517737i
\(365\) −8.39537 4.48742i −0.0230010 0.0122943i
\(366\) 767.567 605.155i 2.09718 1.65343i
\(367\) 70.7201 + 29.2932i 0.192698 + 0.0798180i 0.476946 0.878933i \(-0.341744\pi\)
−0.284248 + 0.958751i \(0.591744\pi\)
\(368\) −95.3269 + 120.964i −0.259040 + 0.328707i
\(369\) −261.333 630.914i −0.708220 1.70979i
\(370\) −85.0591 + 151.899i −0.229889 + 0.410538i
\(371\) −485.058 + 147.141i −1.30743 + 0.396606i
\(372\) 16.4936 + 279.273i 0.0443375 + 0.750734i
\(373\) −117.646 + 11.5871i −0.315405 + 0.0310647i −0.254481 0.967078i \(-0.581905\pi\)
−0.0609239 + 0.998142i \(0.519405\pi\)
\(374\) 21.6443 + 33.8085i 0.0578723 + 0.0903970i
\(375\) 439.318 + 87.3858i 1.17152 + 0.233029i
\(376\) 178.754 + 245.967i 0.475409 + 0.654168i
\(377\) −241.947 + 48.1263i −0.641770 + 0.127656i
\(378\) 58.2739 + 1.14186i 0.154164 + 0.00302079i
\(379\) 69.5410 229.246i 0.183485 0.604870i −0.816149 0.577841i \(-0.803895\pi\)
0.999635 0.0270291i \(-0.00860467\pi\)
\(380\) −43.9353 31.9152i −0.115619 0.0839873i
\(381\) −300.475 366.130i −0.788648 0.960970i
\(382\) 149.826 + 127.952i 0.392215 + 0.334954i
\(383\) 270.807i 0.707069i 0.935421 + 0.353535i \(0.115020\pi\)
−0.935421 + 0.353535i \(0.884980\pi\)
\(384\) 245.333 + 505.420i 0.638888 + 1.31620i
\(385\) 193.677 0.503058
\(386\) −145.337 + 170.182i −0.376520 + 0.440886i
\(387\) 497.321 408.141i 1.28507 1.05463i
\(388\) −260.409 189.164i −0.671157 0.487537i
\(389\) −509.917 154.682i −1.31084 0.397639i −0.443911 0.896071i \(-0.646410\pi\)
−0.866929 + 0.498432i \(0.833910\pi\)
\(390\) −4.40917 + 225.018i −0.0113056 + 0.576970i
\(391\) −2.32617 11.6944i −0.00594928 0.0299090i
\(392\) 26.8221 169.489i 0.0684237 0.432369i
\(393\) −94.9135 + 477.162i −0.241510 + 1.21415i
\(394\) 131.713 84.3230i 0.334297 0.214018i
\(395\) −3.50200 35.5564i −0.00886582 0.0900162i
\(396\) −39.2246 664.160i −0.0990520 1.67717i
\(397\) 168.891 + 556.759i 0.425418 + 1.40242i 0.863894 + 0.503673i \(0.168018\pi\)
−0.438476 + 0.898743i \(0.644482\pi\)
\(398\) 216.746 + 121.371i 0.544588 + 0.304953i
\(399\) −126.890 + 52.5595i −0.318020 + 0.131728i
\(400\) 305.140 + 86.0021i 0.762851 + 0.215005i
\(401\) −39.1085 + 94.4163i −0.0975275 + 0.235452i −0.965112 0.261838i \(-0.915671\pi\)
0.867584 + 0.497290i \(0.165671\pi\)
\(402\) 51.6619 + 65.5270i 0.128512 + 0.163003i
\(403\) −84.5687 + 158.217i −0.209848 + 0.392598i
\(404\) −248.349 328.020i −0.614725 0.811931i
\(405\) −119.728 98.2582i −0.295625 0.242613i
\(406\) −188.711 131.512i −0.464804 0.323921i
\(407\) 514.997 344.110i 1.26535 0.845479i
\(408\) −42.0878 10.9769i −0.103156 0.0269042i
\(409\) 466.597 + 311.770i 1.14082 + 0.762274i 0.974631 0.223819i \(-0.0718524\pi\)
0.166193 + 0.986093i \(0.446852\pi\)
\(410\) 277.603 + 121.412i 0.677081 + 0.296127i
\(411\) 24.0098 + 44.9191i 0.0584179 + 0.109292i
\(412\) −63.8618 29.4341i −0.155004 0.0714419i
\(413\) 44.6388 453.225i 0.108084 1.09740i
\(414\) −61.0585 + 187.946i −0.147484 + 0.453976i
\(415\) 247.761 + 247.761i 0.597014 + 0.597014i
\(416\) −35.2363 + 358.546i −0.0847027 + 0.861890i
\(417\) −526.384 526.384i −1.26231 1.26231i
\(418\) 87.7181 + 172.138i 0.209852 + 0.411814i
\(419\) −25.3923 + 257.813i −0.0606022 + 0.615305i 0.916136 + 0.400868i \(0.131292\pi\)
−0.976738 + 0.214437i \(0.931208\pi\)
\(420\) −154.086 + 142.460i −0.366872 + 0.339192i
\(421\) −255.936 478.822i −0.607923 1.13734i −0.978051 0.208364i \(-0.933186\pi\)
0.370128 0.928981i \(-0.379314\pi\)
\(422\) −133.965 342.235i −0.317452 0.810982i
\(423\) 324.395 + 216.754i 0.766891 + 0.512420i
\(424\) −695.158 337.066i −1.63952 0.794967i
\(425\) −20.4078 + 13.6361i −0.0480184 + 0.0320849i
\(426\) −1057.37 + 188.869i −2.48209 + 0.443355i
\(427\) 451.773 + 370.760i 1.05802 + 0.868291i
\(428\) −657.167 385.097i −1.53544 0.899759i
\(429\) 377.455 706.168i 0.879847 1.64608i
\(430\) −33.5388 + 283.472i −0.0779972 + 0.659237i
\(431\) −70.5471 + 170.316i −0.163682 + 0.395164i −0.984346 0.176247i \(-0.943604\pi\)
0.820663 + 0.571412i \(0.193604\pi\)
\(432\) 64.0477 + 61.5596i 0.148258 + 0.142499i
\(433\) −232.959 + 96.4949i −0.538012 + 0.222852i −0.635108 0.772423i \(-0.719045\pi\)
0.0970962 + 0.995275i \(0.469045\pi\)
\(434\) −160.994 + 45.4124i −0.370953 + 0.104637i
\(435\) −63.5736 209.574i −0.146146 0.481780i
\(436\) 23.9316 69.0319i 0.0548889 0.158330i
\(437\) −5.62470 57.1086i −0.0128712 0.130683i
\(438\) −35.8438 7.86277i −0.0818352 0.0179515i
\(439\) 75.9691 381.922i 0.173050 0.869982i −0.792521 0.609844i \(-0.791232\pi\)
0.965571 0.260138i \(-0.0837681\pi\)
\(440\) 216.793 + 200.349i 0.492710 + 0.455340i
\(441\) −42.9552 215.950i −0.0974040 0.489683i
\(442\) −19.3327 20.1055i −0.0437391 0.0454875i
\(443\) −75.4948 22.9011i −0.170417 0.0516955i 0.203923 0.978987i \(-0.434631\pi\)
−0.374340 + 0.927291i \(0.622131\pi\)
\(444\) −156.611 + 652.576i −0.352727 + 1.46977i
\(445\) 36.8013 30.2020i 0.0826995 0.0678697i
\(446\) −496.627 + 39.1068i −1.11351 + 0.0876833i
\(447\) −1069.39 −2.39238
\(448\) −263.755 + 208.037i −0.588738 + 0.464368i
\(449\) 222.399i 0.495320i −0.968847 0.247660i \(-0.920338\pi\)
0.968847 0.247660i \(-0.0796616\pi\)
\(450\) 405.531 31.9334i 0.901179 0.0709631i
\(451\) −683.859 833.285i −1.51632 1.84764i
\(452\) −324.693 + 199.010i −0.718348 + 0.440289i
\(453\) 318.680 1050.55i 0.703487 2.31909i
\(454\) 141.315 + 146.963i 0.311266 + 0.323708i
\(455\) −131.985 + 26.2534i −0.290077 + 0.0576998i
\(456\) −196.404 72.4287i −0.430711 0.158835i
\(457\) −97.9638 19.4862i −0.214363 0.0426394i 0.0867405 0.996231i \(-0.472355\pi\)
−0.301103 + 0.953592i \(0.597355\pi\)
\(458\) 150.628 + 33.0420i 0.328882 + 0.0721442i
\(459\) −6.84448 + 0.674123i −0.0149117 + 0.00146868i
\(460\) −38.2709 78.8861i −0.0831975 0.171492i
\(461\) 645.874 195.924i 1.40103 0.424997i 0.502753 0.864430i \(-0.332321\pi\)
0.898275 + 0.439433i \(0.144821\pi\)
\(462\) 718.561 202.688i 1.55533 0.438719i
\(463\) −172.944 417.524i −0.373530 0.901781i −0.993146 0.116876i \(-0.962712\pi\)
0.619617 0.784905i \(-0.287288\pi\)
\(464\) −75.1906 342.419i −0.162049 0.737973i
\(465\) −147.145 60.9494i −0.316441 0.131074i
\(466\) −52.7061 + 445.475i −0.113103 + 0.955954i
\(467\) 286.772 + 153.283i 0.614073 + 0.328229i 0.748943 0.662635i \(-0.230562\pi\)
−0.134870 + 0.990863i \(0.543062\pi\)
\(468\) 116.759 + 447.287i 0.249485 + 0.955741i
\(469\) −31.6517 + 38.5677i −0.0674877 + 0.0822340i
\(470\) −170.406 + 30.4381i −0.362566 + 0.0647620i
\(471\) 109.892 + 164.465i 0.233317 + 0.349183i
\(472\) 518.805 461.141i 1.09916 0.976993i
\(473\) 564.214 844.406i 1.19284 1.78521i
\(474\) −50.2034 128.253i −0.105914 0.270575i
\(475\) −104.177 + 55.6839i −0.219320 + 0.117229i
\(476\) 1.01882 25.9873i 0.00214037 0.0545952i
\(477\) −986.523 97.1640i −2.06818 0.203698i
\(478\) 308.566 + 605.532i 0.645537 + 1.26680i
\(479\) 536.197 536.197i 1.11941 1.11941i 0.127582 0.991828i \(-0.459278\pi\)
0.991828 0.127582i \(-0.0407216\pi\)
\(480\) −319.845 + 0.0684133i −0.666343 + 0.000142528i
\(481\) −304.309 + 304.309i −0.632658 + 0.632658i
\(482\) 226.001 695.662i 0.468882 1.44328i
\(483\) −220.691 21.7361i −0.456916 0.0450023i
\(484\) −196.026 531.211i −0.405012 1.09754i
\(485\) 161.602 86.3779i 0.333199 0.178099i
\(486\) −638.597 279.295i −1.31398 0.574682i
\(487\) −64.7433 + 96.8953i −0.132943 + 0.198964i −0.891968 0.452098i \(-0.850676\pi\)
0.759025 + 0.651061i \(0.225676\pi\)
\(488\) 122.159 + 882.346i 0.250325 + 1.80809i
\(489\) 519.719 + 777.815i 1.06282 + 1.59062i
\(490\) 80.1486 + 55.8554i 0.163569 + 0.113991i
\(491\) −526.036 + 640.976i −1.07136 + 1.30545i −0.121559 + 0.992584i \(0.538789\pi\)
−0.949797 + 0.312867i \(0.898711\pi\)
\(492\) 1156.99 + 159.931i 2.35161 + 0.325063i
\(493\) 23.9368 + 12.7945i 0.0485533 + 0.0259523i
\(494\) −83.1108 105.416i −0.168240 0.213393i
\(495\) 349.936 + 144.948i 0.706942 + 0.292825i
\(496\) −227.185 115.708i −0.458034 0.233281i
\(497\) −245.774 593.351i −0.494515 1.19386i
\(498\) 1178.50 + 659.928i 2.36647 + 1.32516i
\(499\) 674.966 204.749i 1.35264 0.410318i 0.470953 0.882158i \(-0.343910\pi\)
0.881684 + 0.471840i \(0.156410\pi\)
\(500\) −271.127 + 305.162i −0.542254 + 0.610324i
\(501\) −541.837 + 53.3663i −1.08151 + 0.106520i
\(502\) −396.865 + 254.074i −0.790567 + 0.506123i
\(503\) −401.684 79.9000i −0.798577 0.158847i −0.221097 0.975252i \(-0.570964\pi\)
−0.577480 + 0.816405i \(0.695964\pi\)
\(504\) −225.167 + 367.545i −0.446760 + 0.729256i
\(505\) 229.728 45.6958i 0.454907 0.0904867i
\(506\) −6.11124 + 311.882i −0.0120775 + 0.616368i
\(507\) 53.8249 177.437i 0.106164 0.349974i
\(508\) 426.323 67.5604i 0.839219 0.132993i
\(509\) 503.864 + 613.960i 0.989910 + 1.20621i 0.978494 + 0.206274i \(0.0661340\pi\)
0.0114161 + 0.999935i \(0.496366\pi\)
\(510\) 16.0810 18.8301i 0.0315314 0.0369217i
\(511\) 21.9416i 0.0429385i
\(512\) −510.437 39.9745i −0.996947 0.0780753i
\(513\) −33.1001 −0.0645226
\(514\) 159.224 + 135.978i 0.309774 + 0.264549i
\(515\) 30.9457 25.3965i 0.0600887 0.0493135i
\(516\) 172.228 + 1086.81i 0.333776 + 2.10621i
\(517\) 589.340 + 178.774i 1.13992 + 0.345792i
\(518\) −401.196 7.86130i −0.774509 0.0151763i
\(519\) −167.589 842.526i −0.322907 1.62336i
\(520\) −174.895 107.145i −0.336336 0.206048i
\(521\) 97.5347 490.340i 0.187207 0.941152i −0.766919 0.641744i \(-0.778211\pi\)
0.954125 0.299407i \(-0.0967889\pi\)
\(522\) −242.539 378.847i −0.464633 0.725761i
\(523\) 67.5990 + 686.344i 0.129252 + 1.31232i 0.812855 + 0.582466i \(0.197912\pi\)
−0.683603 + 0.729854i \(0.739588\pi\)
\(524\) −331.449 294.482i −0.632537 0.561989i
\(525\) 132.510 + 436.828i 0.252400 + 0.832053i
\(526\) 159.746 285.276i 0.303700 0.542349i
\(527\) 18.2359 7.55357i 0.0346033 0.0143332i
\(528\) 1013.99 + 516.436i 1.92044 + 0.978098i
\(529\) −166.982 + 403.131i −0.315656 + 0.762062i
\(530\) 345.391 272.308i 0.651681 0.513789i
\(531\) 419.848 785.480i 0.790674 1.47925i
\(532\) 17.1387 123.987i 0.0322156 0.233059i
\(533\) 578.982 + 475.158i 1.08627 + 0.891479i
\(534\) 104.929 150.566i 0.196496 0.281958i
\(535\) 360.552 240.913i 0.673929 0.450305i
\(536\) −75.3257 + 10.4287i −0.140533 + 0.0194565i
\(537\) 381.818 + 255.123i 0.711020 + 0.475089i
\(538\) 191.076 436.886i 0.355159 0.812056i
\(539\) −163.840 306.523i −0.303970 0.568688i
\(540\) −47.4468 + 17.5087i −0.0878645 + 0.0324235i
\(541\) −64.4796 + 654.672i −0.119186 + 1.21012i 0.730532 + 0.682878i \(0.239272\pi\)
−0.849718 + 0.527237i \(0.823228\pi\)
\(542\) −448.387 145.669i −0.827282 0.268761i
\(543\) 352.636 + 352.636i 0.649423 + 0.649423i
\(544\) 28.0230 28.0350i 0.0515128 0.0515349i
\(545\) 29.4120 + 29.4120i 0.0539669 + 0.0539669i
\(546\) −462.201 + 235.528i −0.846522 + 0.431370i
\(547\) 51.3041 520.899i 0.0937917 0.952284i −0.826993 0.562212i \(-0.809950\pi\)
0.920785 0.390071i \(-0.127550\pi\)
\(548\) −46.3814 1.81836i −0.0846376 0.00331817i
\(549\) 538.786 + 1008.00i 0.981395 + 1.83606i
\(550\) 597.946 234.061i 1.08717 0.425566i
\(551\) 108.611 + 72.5718i 0.197117 + 0.131709i
\(552\) −224.545 252.623i −0.406784 0.457651i
\(553\) 68.4729 45.7521i 0.123821 0.0827344i
\(554\) 70.9402 + 397.154i 0.128051 + 0.716884i
\(555\) −295.339 242.379i −0.532143 0.436718i
\(556\) 656.416 171.349i 1.18060 0.308182i
\(557\) −205.977 + 385.356i −0.369797 + 0.691841i −0.996147 0.0877007i \(-0.972048\pi\)
0.626350 + 0.779542i \(0.284548\pi\)
\(558\) −324.870 38.4368i −0.582205 0.0688832i
\(559\) −270.032 + 651.916i −0.483063 + 1.16622i
\(560\) −41.0173 186.794i −0.0732451 0.333560i
\(561\) −81.3922 + 33.7138i −0.145084 + 0.0600958i
\(562\) 63.3885 + 224.722i 0.112791 + 0.399861i
\(563\) 182.607 + 601.975i 0.324347 + 1.06923i 0.955850 + 0.293854i \(0.0949381\pi\)
−0.631504 + 0.775373i \(0.717562\pi\)
\(564\) −600.367 + 291.262i −1.06448 + 0.516423i
\(565\) −21.2509 215.764i −0.0376122 0.381883i
\(566\) 71.3695 325.350i 0.126094 0.574823i
\(567\) 69.6472 350.140i 0.122835 0.617532i
\(568\) 338.684 918.407i 0.596275 1.61691i
\(569\) 49.6856 + 249.786i 0.0873210 + 0.438992i 0.999569 + 0.0293540i \(0.00934501\pi\)
−0.912248 + 0.409638i \(0.865655\pi\)
\(570\) 85.9039 82.6021i 0.150709 0.144916i
\(571\) −303.744 92.1396i −0.531950 0.161365i 0.0128717 0.999917i \(-0.495903\pi\)
−0.544822 + 0.838552i \(0.683403\pi\)
\(572\) 381.329 + 622.153i 0.666659 + 1.08768i
\(573\) −334.246 + 274.308i −0.583326 + 0.478723i
\(574\) 54.8238 + 696.222i 0.0955118 + 1.21293i
\(575\) −190.727 −0.331698
\(576\) −632.247 + 178.487i −1.09765 + 0.309874i
\(577\) 730.537i 1.26610i 0.774113 + 0.633048i \(0.218196\pi\)
−0.774113 + 0.633048i \(0.781804\pi\)
\(578\) −45.1331 573.157i −0.0780849 0.991621i
\(579\) −311.577 379.657i −0.538129 0.655712i
\(580\) 194.075 + 46.5757i 0.334612 + 0.0803029i
\(581\) −234.439 + 772.842i −0.403510 + 1.33019i
\(582\) 509.161 489.590i 0.874846 0.841221i
\(583\) −1534.73 + 305.276i −2.63246 + 0.523630i
\(584\) 22.6975 24.5603i 0.0388655 0.0420553i
\(585\) −258.118 51.3429i −0.441228 0.0877657i
\(586\) 171.602 782.276i 0.292836 1.33494i
\(587\) 72.9365 7.18362i 0.124253 0.0122379i −0.0356995 0.999363i \(-0.511366\pi\)
0.159952 + 0.987125i \(0.448866\pi\)
\(588\) 355.813 + 123.351i 0.605124 + 0.209781i
\(589\) 90.9055 27.5759i 0.154339 0.0468181i
\(590\) 107.281 + 380.327i 0.181832 + 0.644623i
\(591\) 131.344 + 317.093i 0.222240 + 0.536536i
\(592\) −440.946 423.816i −0.744841 0.715906i
\(593\) 50.1384 + 20.7680i 0.0845504 + 0.0350219i 0.424558 0.905401i \(-0.360430\pi\)
−0.340007 + 0.940423i \(0.610430\pi\)
\(594\) 178.685 + 21.1410i 0.300816 + 0.0355909i
\(595\) 13.0578 + 6.97953i 0.0219459 + 0.0117303i
\(596\) 492.726 840.837i 0.826722 1.41080i
\(597\) −345.852 + 421.421i −0.579316 + 0.705898i
\(598\) −38.1118 213.366i −0.0637321 0.356800i
\(599\) −109.220 163.460i −0.182338 0.272888i 0.729029 0.684483i \(-0.239972\pi\)
−0.911367 + 0.411595i \(0.864972\pi\)
\(600\) −303.551 + 626.038i −0.505918 + 1.04340i
\(601\) −65.8852 + 98.6042i −0.109626 + 0.164067i −0.882226 0.470826i \(-0.843956\pi\)
0.772600 + 0.634893i \(0.218956\pi\)
\(602\) −612.674 + 239.826i −1.01773 + 0.398382i
\(603\) −86.0525 + 45.9960i −0.142707 + 0.0762787i
\(604\) 679.185 + 734.613i 1.12448 + 1.21625i
\(605\) 320.803 + 31.5963i 0.530252 + 0.0522253i
\(606\) 804.491 409.952i 1.32754 0.676489i
\(607\) −484.363 + 484.363i −0.797962 + 0.797962i −0.982774 0.184812i \(-0.940832\pi\)
0.184812 + 0.982774i \(0.440832\pi\)
\(608\) 147.443 121.056i 0.242505 0.199105i
\(609\) 356.941 356.941i 0.586109 0.586109i
\(610\) −482.302 156.687i −0.790659 0.256863i
\(611\) −425.849 41.9425i −0.696971 0.0686457i
\(612\) 21.2897 46.1914i 0.0347872 0.0754762i
\(613\) −629.425 + 336.435i −1.02679 + 0.548833i −0.896686 0.442667i \(-0.854033\pi\)
−0.130108 + 0.991500i \(0.541533\pi\)
\(614\) 150.521 344.159i 0.245148 0.560519i
\(615\) −369.424 + 552.882i −0.600689 + 0.898995i
\(616\) −171.711 + 658.376i −0.278751 + 1.06879i
\(617\) 348.589 + 521.700i 0.564973 + 0.845542i 0.998452 0.0556215i \(-0.0177140\pi\)
−0.433479 + 0.901164i \(0.642714\pi\)
\(618\) 88.2333 126.609i 0.142772 0.204868i
\(619\) 747.692 911.066i 1.20790 1.47183i 0.367370 0.930075i \(-0.380258\pi\)
0.840534 0.541759i \(-0.182242\pi\)
\(620\) 115.721 87.6137i 0.186646 0.141312i
\(621\) −47.1333 25.1933i −0.0758990 0.0405689i
\(622\) −292.112 + 230.303i −0.469633 + 0.370261i
\(623\) 101.380 + 41.9928i 0.162728 + 0.0674042i
\(624\) −761.006 214.485i −1.21956 0.343727i
\(625\) 100.631 + 242.946i 0.161010 + 0.388713i
\(626\) −379.178 + 677.140i −0.605716 + 1.08169i
\(627\) −405.737 + 123.079i −0.647109 + 0.196298i
\(628\) −179.948 + 10.6276i −0.286542 + 0.0169229i
\(629\) 47.1219 4.64110i 0.0749155 0.00737854i
\(630\) −132.308 206.665i −0.210012 0.328040i
\(631\) −274.319 54.5654i −0.434737 0.0864745i −0.0271297 0.999632i \(-0.508637\pi\)
−0.407607 + 0.913157i \(0.633637\pi\)
\(632\) 123.973 + 19.6191i 0.196160 + 0.0310429i
\(633\) 791.060 157.352i 1.24970 0.248581i
\(634\) 404.106 + 7.91832i 0.637391 + 0.0124895i
\(635\) −71.3336 + 235.155i −0.112336 + 0.370323i
\(636\) 996.454 1371.75i 1.56675 2.15684i
\(637\) 153.202 + 186.677i 0.240505 + 0.293056i
\(638\) −539.966 461.135i −0.846342 0.722782i
\(639\) 1256.00i 1.96558i
\(640\) 147.316 251.517i 0.230181 0.392996i
\(641\) 1.24087 0.00193583 0.000967915 1.00000i \(-0.499692\pi\)
0.000967915 1.00000i \(0.499692\pi\)
\(642\) 1085.56 1271.14i 1.69090 1.97996i
\(643\) 251.049 206.031i 0.390434 0.320421i −0.418613 0.908165i \(-0.637484\pi\)
0.809047 + 0.587744i \(0.199984\pi\)
\(644\) 118.775 163.509i 0.184433 0.253895i
\(645\) −599.470 181.847i −0.929411 0.281934i
\(646\) −0.289349 + 14.7667i −0.000447908 + 0.0228587i
\(647\) 14.9353 + 75.0846i 0.0230839 + 0.116050i 0.990609 0.136723i \(-0.0436572\pi\)
−0.967525 + 0.252774i \(0.918657\pi\)
\(648\) 440.162 319.883i 0.679262 0.493646i
\(649\) 274.280 1378.90i 0.422620 2.12465i
\(650\) −375.753 + 240.558i −0.578082 + 0.370089i
\(651\) −35.9824 365.335i −0.0552725 0.561191i
\(652\) −851.039 + 50.2615i −1.30527 + 0.0770881i
\(653\) −119.719 394.661i −0.183337 0.604381i −0.999642 0.0267600i \(-0.991481\pi\)
0.816305 0.577621i \(-0.196019\pi\)
\(654\) 139.902 + 78.3408i 0.213917 + 0.119787i
\(655\) 233.200 96.5945i 0.356030 0.147473i
\(656\) −658.839 + 836.027i −1.00433 + 1.27443i
\(657\) 16.4211 39.6441i 0.0249941 0.0603411i
\(658\) −247.026 313.323i −0.375419 0.476175i
\(659\) −40.1104 + 75.0413i −0.0608656 + 0.113871i −0.910514 0.413478i \(-0.864314\pi\)
0.849649 + 0.527349i \(0.176814\pi\)
\(660\) −516.494 + 391.045i −0.782566 + 0.592493i
\(661\) 58.1157 + 47.6943i 0.0879208 + 0.0721548i 0.677327 0.735682i \(-0.263138\pi\)
−0.589406 + 0.807837i \(0.700638\pi\)
\(662\) −892.879 622.245i −1.34876 0.939948i
\(663\) 50.8962 34.0077i 0.0767665 0.0512937i
\(664\) −1061.88 + 622.565i −1.59922 + 0.937597i
\(665\) 59.2487 + 39.5887i 0.0890958 + 0.0595319i
\(666\) −718.997 314.459i −1.07958 0.472161i
\(667\) 99.4222 + 186.006i 0.149059 + 0.278869i
\(668\) 207.693 450.622i 0.310918 0.674584i
\(669\) 107.159 1088.00i 0.160178 1.62631i
\(670\) 13.3763 41.1740i 0.0199646 0.0614537i
\(671\) 1275.76 + 1275.76i 1.90128 + 1.90128i
\(672\) −347.662 650.096i −0.517354 0.967404i
\(673\) −557.788 557.788i −0.828808 0.828808i 0.158544 0.987352i \(-0.449320\pi\)
−0.987352 + 0.158544i \(0.949320\pi\)
\(674\) 173.755 + 340.977i 0.257797 + 0.505901i
\(675\) −10.7831 + 109.483i −0.0159750 + 0.162197i
\(676\) 114.714 + 124.076i 0.169696 + 0.183544i
\(677\) 537.440 + 1005.48i 0.793855 + 1.48520i 0.872671 + 0.488309i \(0.162386\pi\)
−0.0788161 + 0.996889i \(0.525114\pi\)
\(678\) −304.645 778.264i −0.449329 1.14788i
\(679\) 351.173 + 234.646i 0.517191 + 0.345576i
\(680\) 7.39625 + 21.3201i 0.0108768 + 0.0313532i
\(681\) −372.032 + 248.584i −0.546303 + 0.365028i
\(682\) −508.349 + 90.8021i −0.745380 + 0.133141i
\(683\) −488.844 401.184i −0.715731 0.587385i 0.204451 0.978877i \(-0.434459\pi\)
−0.920182 + 0.391492i \(0.871959\pi\)
\(684\) 123.759 211.194i 0.180934 0.308763i
\(685\) 12.4569 23.3052i 0.0181852 0.0340221i
\(686\) −86.8943 + 734.435i −0.126668 + 1.07061i
\(687\) −129.510 + 312.666i −0.188516 + 0.455117i
\(688\) −933.883 365.331i −1.35739 0.531004i
\(689\) 1004.49 416.071i 1.45789 0.603877i
\(690\) 185.194 52.2387i 0.268397 0.0757083i
\(691\) −309.209 1019.33i −0.447480 1.47514i −0.833430 0.552625i \(-0.813626\pi\)
0.385950 0.922520i \(-0.373874\pi\)
\(692\) 739.674 + 256.426i 1.06889 + 0.370557i
\(693\) 85.5724 + 868.832i 0.123481 + 1.25373i
\(694\) 306.116 + 67.1502i 0.441089 + 0.0967582i
\(695\) −75.3483 + 378.802i −0.108415 + 0.545038i
\(696\) 768.778 30.3042i 1.10457 0.0435405i
\(697\) −16.0770 80.8245i −0.0230660 0.115961i
\(698\) 649.804 + 675.779i 0.930952 + 0.968164i
\(699\) −942.065 285.772i −1.34773 0.408830i
\(700\) −404.521 97.0804i −0.577888 0.138686i
\(701\) 856.116 702.596i 1.22128 1.00228i 0.221646 0.975127i \(-0.428857\pi\)
0.999631 0.0271495i \(-0.00864302\pi\)
\(702\) −124.634 + 9.81424i −0.177541 + 0.0139804i
\(703\) 227.883 0.324158
\(704\) −873.261 + 559.327i −1.24043 + 0.794498i
\(705\) 379.891i 0.538852i
\(706\) 667.568 52.5675i 0.945563 0.0744582i
\(707\) 342.497 + 417.334i 0.484438 + 0.590289i
\(708\) 796.045 + 1298.78i 1.12436 + 1.83443i
\(709\) −399.553 + 1317.15i −0.563544 + 1.85776i −0.0517278 + 0.998661i \(0.516473\pi\)
−0.511816 + 0.859095i \(0.671027\pi\)
\(710\) 386.256 + 401.696i 0.544023 + 0.565769i
\(711\) 157.958 31.4198i 0.222163 0.0441909i
\(712\) 70.0398 + 151.877i 0.0983704 + 0.213310i
\(713\) 150.435 + 29.9233i 0.210988 + 0.0419682i
\(714\) 55.7499 + 12.2294i 0.0780810 + 0.0171280i
\(715\) −413.430 + 40.7193i −0.578224 + 0.0569501i
\(716\) −376.521 + 182.665i −0.525867 + 0.255119i
\(717\) −1427.26 + 432.956i −1.99061 + 0.603844i
\(718\) 316.851 89.3758i 0.441296 0.124479i
\(719\) −169.972 410.350i −0.236401 0.570723i 0.760504 0.649333i \(-0.224952\pi\)
−0.996905 + 0.0786101i \(0.974952\pi\)
\(720\) 65.6865 368.196i 0.0912312 0.511383i
\(721\) 85.2487 + 35.3112i 0.118237 + 0.0489753i
\(722\) 76.4796 646.409i 0.105927 0.895304i
\(723\) 1415.69 + 756.705i 1.95808 + 1.04662i
\(724\) −439.748 + 114.791i −0.607387 + 0.158551i
\(725\) 275.423 335.604i 0.379894 0.462903i
\(726\) 1223.27 218.503i 1.68495 0.300968i
\(727\) 24.1324 + 36.1167i 0.0331945 + 0.0496791i 0.847696 0.530483i \(-0.177989\pi\)
−0.814501 + 0.580162i \(0.802989\pi\)
\(728\) 27.7709 471.938i 0.0381468 0.648266i
\(729\) 509.736 762.873i 0.699226 1.04647i
\(730\) 6.93985 + 17.7289i 0.00950664 + 0.0242862i
\(731\) 68.4693 36.5976i 0.0936652 0.0500651i
\(732\) −1953.36 76.5804i −2.66853 0.104618i
\(733\) −435.562 42.8991i −0.594219 0.0585254i −0.203562 0.979062i \(-0.565252\pi\)
−0.390656 + 0.920537i \(0.627752\pi\)
\(734\) −69.5089 136.404i −0.0946988 0.185837i
\(735\) −151.599 + 151.599i −0.206257 + 0.206257i
\(736\) 302.091 60.1569i 0.410450 0.0817349i
\(737\) −108.911 + 108.911i −0.147776 + 0.147776i
\(738\) −421.997 + 1298.96i −0.571812 + 1.76011i
\(739\) 531.120 + 52.3107i 0.718700 + 0.0707858i 0.450754 0.892648i \(-0.351155\pi\)
0.267946 + 0.963434i \(0.413655\pi\)
\(740\) 326.655 120.541i 0.441426 0.162893i
\(741\) 259.813 138.873i 0.350625 0.187413i
\(742\) 928.819 + 406.227i 1.25178 + 0.547475i
\(743\) 804.617 1204.20i 1.08293 1.62072i 0.355298 0.934753i \(-0.384379\pi\)
0.727633 0.685967i \(-0.240621\pi\)
\(744\) 337.644 446.159i 0.453822 0.599677i
\(745\) 308.245 + 461.322i 0.413752 + 0.619224i
\(746\) 193.974 + 135.180i 0.260019 + 0.181206i
\(747\) −1001.98 + 1220.92i −1.34134 + 1.63443i
\(748\) 10.9935 79.5304i 0.0146971 0.106324i
\(749\) 881.474 + 471.158i 1.17687 + 0.629049i
\(750\) −554.645 703.502i −0.739527 0.938003i
\(751\) 626.568 + 259.533i 0.834312 + 0.345583i 0.758608 0.651547i \(-0.225880\pi\)
0.0757038 + 0.997130i \(0.475880\pi\)
\(752\) 47.6088 606.254i 0.0633096 0.806189i
\(753\) −395.753 955.432i −0.525568 1.26883i
\(754\) 430.477