Properties

Label 49.6.g.a.2.9
Level $49$
Weight $6$
Character 49.2
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [49,6,Mod(2,49)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(49, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([26]))
 
N = Newforms(chi, 6, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("49.2");
 
S:= CuspForms(chi, 6);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 49.g (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.85880717084\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(22\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 2.9
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.66606 - 0.822370i) q^{2} +(-6.33899 + 16.1515i) q^{3} +(-20.0081 - 13.6413i) q^{4} +(-58.2851 + 8.78507i) q^{5} +(30.1826 - 37.8478i) q^{6} +(54.7544 - 117.511i) q^{7} +(97.7899 + 122.625i) q^{8} +(-42.5557 - 39.4859i) q^{9} +O(q^{10})\) \(q+(-2.66606 - 0.822370i) q^{2} +(-6.33899 + 16.1515i) q^{3} +(-20.0081 - 13.6413i) q^{4} +(-58.2851 + 8.78507i) q^{5} +(30.1826 - 37.8478i) q^{6} +(54.7544 - 117.511i) q^{7} +(97.7899 + 122.625i) q^{8} +(-42.5557 - 39.4859i) q^{9} +(162.616 + 24.5104i) q^{10} +(260.875 - 242.057i) q^{11} +(347.157 - 236.688i) q^{12} +(210.585 + 922.633i) q^{13} +(-242.616 + 268.264i) q^{14} +(227.577 - 997.079i) q^{15} +(123.235 + 313.997i) q^{16} +(-98.0065 - 1307.81i) q^{17} +(80.9839 + 140.268i) q^{18} +(1285.39 - 2226.36i) q^{19} +(1286.01 + 619.311i) q^{20} +(1550.90 + 1629.27i) q^{21} +(-894.569 + 430.802i) q^{22} +(250.094 - 3337.27i) q^{23} +(-2600.46 + 802.135i) q^{24} +(333.814 - 102.968i) q^{25} +(197.314 - 2632.97i) q^{26} +(-2891.21 + 1392.33i) q^{27} +(-2698.54 + 1604.26i) q^{28} +(-1354.14 - 652.120i) q^{29} +(-1426.70 + 2471.12i) q^{30} +(4224.43 + 7316.93i) q^{31} +(-445.397 - 5943.41i) q^{32} +(2255.89 + 5747.92i) q^{33} +(-814.209 + 3567.28i) q^{34} +(-2159.02 + 7330.19i) q^{35} +(312.819 + 1370.55i) q^{36} +(6625.88 - 4517.45i) q^{37} +(-5257.81 + 4878.54i) q^{38} +(-16236.8 - 2447.30i) q^{39} +(-6776.96 - 6288.10i) q^{40} +(5966.29 + 7481.49i) q^{41} +(-2794.92 - 5619.13i) q^{42} +(12114.6 - 15191.2i) q^{43} +(-8521.58 + 1284.42i) q^{44} +(2827.25 + 1927.59i) q^{45} +(-3411.23 + 8691.68i) q^{46} +(-8536.59 - 2633.19i) q^{47} -5852.70 q^{48} +(-10810.9 - 12868.6i) q^{49} -974.646 q^{50} +(21744.3 + 6707.22i) q^{51} +(8372.49 - 21332.8i) q^{52} +(-8330.74 - 5679.80i) q^{53} +(8853.13 - 1334.39i) q^{54} +(-13078.7 + 16400.1i) q^{55} +(19764.2 - 4777.19i) q^{56} +(27810.9 + 34873.8i) q^{57} +(3073.93 + 2852.19i) q^{58} +(33827.0 + 5098.60i) q^{59} +(-18154.8 + 16845.2i) q^{60} +(31219.9 - 21285.3i) q^{61} +(-5245.36 - 22981.4i) q^{62} +(-6970.16 + 2838.75i) q^{63} +(-1298.33 + 5688.34i) q^{64} +(-20379.4 - 51925.8i) q^{65} +(-1287.42 - 17179.5i) q^{66} +(5992.93 + 10380.1i) q^{67} +(-15879.2 + 27503.6i) q^{68} +(52316.5 + 25194.3i) q^{69} +(11784.2 - 17767.2i) q^{70} +(-25482.1 + 12271.5i) q^{71} +(680.429 - 9079.70i) q^{72} +(16018.2 - 4940.96i) q^{73} +(-21380.0 + 6594.85i) q^{74} +(-452.958 + 6044.31i) q^{75} +(-56088.6 + 27010.8i) q^{76} +(-14160.4 - 43909.6i) q^{77} +(41275.6 + 19877.3i) q^{78} +(-1059.23 + 1834.64i) q^{79} +(-9941.24 - 17218.7i) q^{80} +(-5215.09 - 69590.6i) q^{81} +(-9753.92 - 24852.6i) q^{82} +(527.961 - 2313.15i) q^{83} +(-8805.14 - 53754.7i) q^{84} +(17201.5 + 75364.7i) q^{85} +(-44790.9 + 30537.9i) q^{86} +(19116.6 - 17737.6i) q^{87} +(55193.1 + 8319.03i) q^{88} +(-24618.5 - 22842.6i) q^{89} +(-5952.43 - 7464.11i) q^{90} +(119950. + 25772.1i) q^{91} +(-50528.5 + 63360.7i) q^{92} +(-144958. + 21848.9i) q^{93} +(20593.6 + 14040.5i) q^{94} +(-55360.4 + 141056. i) q^{95} +(98818.2 + 30481.4i) q^{96} -54673.3 q^{97} +(18239.8 + 43198.9i) q^{98} -20659.6 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9} - 792 q^{10} - 635 q^{11} + 3605 q^{12} + 1834 q^{13} - 875 q^{14} - 2572 q^{15} + 3735 q^{16} - 1023 q^{17} - 1336 q^{18} + 9741 q^{19} + 8330 q^{20} + 1512 q^{21} + 842 q^{22} - 1553 q^{23} + 1756 q^{24} + 13144 q^{25} - 1946 q^{26} - 19849 q^{27} - 31584 q^{28} - 30356 q^{29} + 6129 q^{30} + 43903 q^{31} + 27725 q^{32} - 3412 q^{33} - 73182 q^{34} - 17360 q^{35} - 102868 q^{36} - 22105 q^{37} + 19116 q^{38} + 109165 q^{39} + 77354 q^{40} + 47446 q^{41} + 157738 q^{42} + 6674 q^{43} + 15154 q^{44} - 130923 q^{45} - 136952 q^{46} - 195163 q^{47} - 151484 q^{48} - 131194 q^{49} + 263000 q^{50} - 84276 q^{51} - 58758 q^{52} - 110577 q^{53} + 170313 q^{54} + 290245 q^{55} + 79688 q^{56} + 47310 q^{57} + 252156 q^{58} + 127308 q^{59} + 86254 q^{60} + 166863 q^{61} - 63578 q^{62} - 243033 q^{63} - 293812 q^{64} - 16702 q^{65} - 661788 q^{66} + 46195 q^{67} + 393869 q^{68} + 321394 q^{69} - 64330 q^{70} - 61793 q^{71} + 333944 q^{72} + 21699 q^{73} + 133514 q^{74} - 431136 q^{75} + 3087 q^{76} - 48993 q^{77} - 450576 q^{78} - 181 q^{79} + 264228 q^{80} + 142090 q^{81} - 512442 q^{82} + 102424 q^{83} + 344932 q^{84} - 205502 q^{85} + 611991 q^{86} + 1427200 q^{87} + 685993 q^{88} + 145800 q^{89} + 677844 q^{90} + 732956 q^{91} + 10018 q^{92} - 1233536 q^{93} - 601938 q^{94} - 945265 q^{95} - 2372958 q^{96} - 1932952 q^{97} - 672973 q^{98} + 1090736 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{21}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.66606 0.822370i −0.471297 0.145376i 0.0500036 0.998749i \(-0.484077\pi\)
−0.521300 + 0.853373i \(0.674553\pi\)
\(3\) −6.33899 + 16.1515i −0.406646 + 1.03612i 0.570073 + 0.821594i \(0.306915\pi\)
−0.976719 + 0.214523i \(0.931180\pi\)
\(4\) −20.0081 13.6413i −0.625252 0.426290i
\(5\) −58.2851 + 8.78507i −1.04264 + 0.157152i −0.647965 0.761670i \(-0.724380\pi\)
−0.394671 + 0.918822i \(0.629142\pi\)
\(6\) 30.1826 37.8478i 0.342277 0.429202i
\(7\) 54.7544 117.511i 0.422352 0.906432i
\(8\) 97.7899 + 122.625i 0.540218 + 0.677412i
\(9\) −42.5557 39.4859i −0.175126 0.162494i
\(10\) 162.616 + 24.5104i 0.514237 + 0.0775088i
\(11\) 260.875 242.057i 0.650057 0.603165i −0.284630 0.958638i \(-0.591871\pi\)
0.934687 + 0.355473i \(0.115680\pi\)
\(12\) 347.157 236.688i 0.695943 0.474486i
\(13\) 210.585 + 922.633i 0.345596 + 1.51416i 0.787060 + 0.616877i \(0.211602\pi\)
−0.441463 + 0.897279i \(0.645540\pi\)
\(14\) −242.616 + 268.264i −0.330826 + 0.365799i
\(15\) 227.577 997.079i 0.261156 1.14420i
\(16\) 123.235 + 313.997i 0.120346 + 0.306638i
\(17\) −98.0065 1307.81i −0.0822494 1.09754i −0.873751 0.486374i \(-0.838319\pi\)
0.791501 0.611168i \(-0.209300\pi\)
\(18\) 80.9839 + 140.268i 0.0589139 + 0.102042i
\(19\) 1285.39 2226.36i 0.816866 1.41485i −0.0911142 0.995840i \(-0.529043\pi\)
0.907980 0.419013i \(-0.137624\pi\)
\(20\) 1286.01 + 619.311i 0.718903 + 0.346205i
\(21\) 1550.90 + 1629.27i 0.767422 + 0.806203i
\(22\) −894.569 + 430.802i −0.394055 + 0.189767i
\(23\) 250.094 3337.27i 0.0985787 1.31544i −0.700256 0.713892i \(-0.746931\pi\)
0.798835 0.601550i \(-0.205450\pi\)
\(24\) −2600.46 + 802.135i −0.921555 + 0.284262i
\(25\) 333.814 102.968i 0.106821 0.0329498i
\(26\) 197.314 2632.97i 0.0572433 0.763858i
\(27\) −2891.21 + 1392.33i −0.763255 + 0.367564i
\(28\) −2698.54 + 1604.26i −0.650479 + 0.386704i
\(29\) −1354.14 652.120i −0.298998 0.143990i 0.278370 0.960474i \(-0.410206\pi\)
−0.577368 + 0.816484i \(0.695920\pi\)
\(30\) −1426.70 + 2471.12i −0.289421 + 0.501292i
\(31\) 4224.43 + 7316.93i 0.789522 + 1.36749i 0.926260 + 0.376885i \(0.123005\pi\)
−0.136738 + 0.990607i \(0.543662\pi\)
\(32\) −445.397 5943.41i −0.0768905 1.02603i
\(33\) 2255.89 + 5747.92i 0.360606 + 0.918810i
\(34\) −814.209 + 3567.28i −0.120792 + 0.529225i
\(35\) −2159.02 + 7330.19i −0.297911 + 1.01145i
\(36\) 312.819 + 1370.55i 0.0402288 + 0.176254i
\(37\) 6625.88 4517.45i 0.795681 0.542486i −0.0958766 0.995393i \(-0.530565\pi\)
0.891558 + 0.452907i \(0.149613\pi\)
\(38\) −5257.81 + 4878.54i −0.590672 + 0.548063i
\(39\) −16236.8 2447.30i −1.70938 0.257647i
\(40\) −6776.96 6288.10i −0.669707 0.621398i
\(41\) 5966.29 + 7481.49i 0.554300 + 0.695070i 0.977493 0.210970i \(-0.0676622\pi\)
−0.423193 + 0.906040i \(0.639091\pi\)
\(42\) −2794.92 5619.13i −0.244481 0.491526i
\(43\) 12114.6 15191.2i 0.999164 1.25291i 0.0318078 0.999494i \(-0.489874\pi\)
0.967357 0.253419i \(-0.0815550\pi\)
\(44\) −8521.58 + 1284.42i −0.663573 + 0.100017i
\(45\) 2827.25 + 1927.59i 0.208129 + 0.141900i
\(46\) −3411.23 + 8691.68i −0.237693 + 0.605633i
\(47\) −8536.59 2633.19i −0.563689 0.173875i −0.000202160 1.00000i \(-0.500064\pi\)
−0.563487 + 0.826125i \(0.690541\pi\)
\(48\) −5852.70 −0.366651
\(49\) −10810.9 12868.6i −0.643238 0.765666i
\(50\) −974.646 −0.0551343
\(51\) 21744.3 + 6707.22i 1.17063 + 0.361091i
\(52\) 8372.49 21332.8i 0.429384 1.09405i
\(53\) −8330.74 5679.80i −0.407375 0.277743i 0.342247 0.939610i \(-0.388812\pi\)
−0.749622 + 0.661867i \(0.769764\pi\)
\(54\) 8853.13 1334.39i 0.413154 0.0622730i
\(55\) −13078.7 + 16400.1i −0.582984 + 0.731039i
\(56\) 19764.2 4777.19i 0.842190 0.203565i
\(57\) 27810.9 + 34873.8i 1.13378 + 1.42171i
\(58\) 3073.93 + 2852.19i 0.119984 + 0.111329i
\(59\) 33827.0 + 5098.60i 1.26513 + 0.190687i 0.747119 0.664690i \(-0.231436\pi\)
0.518006 + 0.855377i \(0.326674\pi\)
\(60\) −18154.8 + 16845.2i −0.651048 + 0.604085i
\(61\) 31219.9 21285.3i 1.07425 0.732413i 0.109082 0.994033i \(-0.465209\pi\)
0.965171 + 0.261620i \(0.0842566\pi\)
\(62\) −5245.36 22981.4i −0.173299 0.759272i
\(63\) −6970.16 + 2838.75i −0.221254 + 0.0901107i
\(64\) −1298.33 + 5688.34i −0.0396218 + 0.173594i
\(65\) −20379.4 51925.8i −0.598284 1.52440i
\(66\) −1287.42 17179.5i −0.0363799 0.485456i
\(67\) 5992.93 + 10380.1i 0.163099 + 0.282496i 0.935979 0.352057i \(-0.114518\pi\)
−0.772879 + 0.634553i \(0.781184\pi\)
\(68\) −15879.2 + 27503.6i −0.416444 + 0.721303i
\(69\) 52316.5 + 25194.3i 1.32287 + 0.637058i
\(70\) 11784.2 17767.2i 0.287445 0.433385i
\(71\) −25482.1 + 12271.5i −0.599914 + 0.288903i −0.709089 0.705119i \(-0.750893\pi\)
0.109175 + 0.994023i \(0.465179\pi\)
\(72\) 680.429 9079.70i 0.0154686 0.206415i
\(73\) 16018.2 4940.96i 0.351808 0.108519i −0.113814 0.993502i \(-0.536307\pi\)
0.465622 + 0.884984i \(0.345831\pi\)
\(74\) −21380.0 + 6594.85i −0.453866 + 0.139999i
\(75\) −452.958 + 6044.31i −0.00929833 + 0.124078i
\(76\) −56088.6 + 27010.8i −1.11388 + 0.536419i
\(77\) −14160.4 43909.6i −0.272175 0.843980i
\(78\) 41275.6 + 19877.3i 0.768169 + 0.369931i
\(79\) −1059.23 + 1834.64i −0.0190951 + 0.0330737i −0.875415 0.483372i \(-0.839412\pi\)
0.856320 + 0.516446i \(0.172745\pi\)
\(80\) −9941.24 17218.7i −0.173666 0.300799i
\(81\) −5215.09 69590.6i −0.0883180 1.17852i
\(82\) −9753.92 24852.6i −0.160193 0.408166i
\(83\) 527.961 2313.15i 0.00841214 0.0368560i −0.970548 0.240909i \(-0.922554\pi\)
0.978960 + 0.204053i \(0.0654115\pi\)
\(84\) −8805.14 53754.7i −0.136156 0.831224i
\(85\) 17201.5 + 75364.7i 0.258237 + 1.13141i
\(86\) −44790.9 + 30537.9i −0.653046 + 0.445239i
\(87\) 19116.6 17737.6i 0.270777 0.251245i
\(88\) 55193.1 + 8319.03i 0.759763 + 0.114516i
\(89\) −24618.5 22842.6i −0.329448 0.305683i 0.498054 0.867146i \(-0.334048\pi\)
−0.827502 + 0.561463i \(0.810239\pi\)
\(90\) −5952.43 7464.11i −0.0774618 0.0971341i
\(91\) 119950. + 25772.1i 1.51844 + 0.326247i
\(92\) −50528.5 + 63360.7i −0.622396 + 0.780460i
\(93\) −144958. + 21848.9i −1.73794 + 0.261952i
\(94\) 20593.6 + 14040.5i 0.240388 + 0.163894i
\(95\) −55360.4 + 141056.i −0.629347 + 1.60355i
\(96\) 98818.2 + 30481.4i 1.09436 + 0.337564i
\(97\) −54673.3 −0.589992 −0.294996 0.955499i \(-0.595318\pi\)
−0.294996 + 0.955499i \(0.595318\pi\)
\(98\) 18239.8 + 43198.9i 0.191847 + 0.454367i
\(99\) −20659.6 −0.211853
\(100\) −8083.60 2493.46i −0.0808360 0.0249346i
\(101\) 40107.4 102192.i 0.391220 0.996812i −0.590594 0.806969i \(-0.701107\pi\)
0.981814 0.189844i \(-0.0607981\pi\)
\(102\) −52455.6 35763.6i −0.499220 0.340362i
\(103\) 54737.8 8250.40i 0.508387 0.0766270i 0.110160 0.993914i \(-0.464864\pi\)
0.398227 + 0.917287i \(0.369626\pi\)
\(104\) −92544.5 + 116047.i −0.839010 + 1.05209i
\(105\) −104707. 81337.4i −0.926839 0.719974i
\(106\) 17539.3 + 21993.6i 0.151617 + 0.190122i
\(107\) −146591. 136016.i −1.23779 1.14850i −0.983410 0.181398i \(-0.941938\pi\)
−0.254381 0.967104i \(-0.581872\pi\)
\(108\) 76840.6 + 11581.9i 0.633915 + 0.0955474i
\(109\) 55941.9 51906.5i 0.450994 0.418462i −0.421695 0.906738i \(-0.638565\pi\)
0.872689 + 0.488276i \(0.162374\pi\)
\(110\) 48355.5 32968.2i 0.381034 0.259785i
\(111\) 30962.1 + 135654.i 0.238519 + 1.04502i
\(112\) 43645.9 + 2711.23i 0.328775 + 0.0204231i
\(113\) −2896.18 + 12689.0i −0.0213368 + 0.0934826i −0.984475 0.175524i \(-0.943838\pi\)
0.963138 + 0.269006i \(0.0866953\pi\)
\(114\) −45466.4 115846.i −0.327664 0.834873i
\(115\) 14741.4 + 196710.i 0.103943 + 1.38702i
\(116\) 18198.0 + 31519.9i 0.125568 + 0.217490i
\(117\) 27469.4 47578.5i 0.185518 0.321326i
\(118\) −85991.8 41411.5i −0.568528 0.273789i
\(119\) −159049. 60091.3i −1.02959 0.388995i
\(120\) 144521. 69597.7i 0.916175 0.441206i
\(121\) −2570.97 + 34307.2i −0.0159637 + 0.213021i
\(122\) −100738. + 31073.7i −0.612767 + 0.189014i
\(123\) −158657. + 48939.3i −0.945578 + 0.291672i
\(124\) 15289.5 204024.i 0.0892975 1.19159i
\(125\) 147405. 70986.6i 0.843796 0.406351i
\(126\) 20917.4 1836.23i 0.117376 0.0103039i
\(127\) 216317. + 104173.i 1.19009 + 0.573119i 0.920837 0.389949i \(-0.127507\pi\)
0.269258 + 0.963068i \(0.413221\pi\)
\(128\) −87221.9 + 151073.i −0.470545 + 0.815007i
\(129\) 168566. + 291965.i 0.891858 + 1.54474i
\(130\) 11630.4 + 155197.i 0.0603581 + 0.805422i
\(131\) −8338.09 21245.1i −0.0424510 0.108163i 0.908076 0.418806i \(-0.137551\pi\)
−0.950527 + 0.310642i \(0.899456\pi\)
\(132\) 33272.9 145778.i 0.166209 0.728211i
\(133\) −191242. 272951.i −0.937464 1.33800i
\(134\) −7441.24 32602.2i −0.0358000 0.156850i
\(135\) 156283. 106552.i 0.738033 0.503183i
\(136\) 150785. 139908.i 0.699055 0.648628i
\(137\) −231333. 34867.9i −1.05302 0.158717i −0.400352 0.916361i \(-0.631112\pi\)
−0.652668 + 0.757644i \(0.726350\pi\)
\(138\) −118760. 110193.i −0.530849 0.492556i
\(139\) 121393. + 152223.i 0.532915 + 0.668255i 0.973295 0.229557i \(-0.0737277\pi\)
−0.440380 + 0.897812i \(0.645156\pi\)
\(140\) 143191. 117211.i 0.617442 0.505416i
\(141\) 96643.2 121187.i 0.409377 0.513343i
\(142\) 78028.4 11760.9i 0.324737 0.0489463i
\(143\) 278266. + 189719.i 1.13794 + 0.775837i
\(144\) 7154.12 18228.4i 0.0287508 0.0732558i
\(145\) 84655.2 + 26112.7i 0.334375 + 0.103141i
\(146\) −46768.7 −0.181582
\(147\) 276376. 93038.4i 1.05489 0.355115i
\(148\) −194195. −0.728758
\(149\) 117377. + 36206.0i 0.433129 + 0.133603i 0.503650 0.863908i \(-0.331990\pi\)
−0.0705209 + 0.997510i \(0.522466\pi\)
\(150\) 6178.27 15742.0i 0.0224202 0.0571256i
\(151\) 148716. + 101393.i 0.530782 + 0.361881i 0.798861 0.601516i \(-0.205436\pi\)
−0.268079 + 0.963397i \(0.586389\pi\)
\(152\) 398705. 60095.1i 1.39972 0.210974i
\(153\) −47469.2 + 59524.5i −0.163939 + 0.205574i
\(154\) 1642.53 + 128711.i 0.00558098 + 0.437333i
\(155\) −310501. 389357.i −1.03809 1.30172i
\(156\) 291482. + 270456.i 0.958961 + 0.889785i
\(157\) −402580. 60679.2i −1.30348 0.196467i −0.539650 0.841890i \(-0.681443\pi\)
−0.763826 + 0.645422i \(0.776681\pi\)
\(158\) 4332.72 4020.18i 0.0138076 0.0128116i
\(159\) 144546. 98549.6i 0.453432 0.309145i
\(160\) 78173.3 + 342500.i 0.241412 + 1.05769i
\(161\) −378474. 212119.i −1.15072 0.644934i
\(162\) −43325.4 + 189821.i −0.129705 + 0.568273i
\(163\) −103225. 263012.i −0.304309 0.775366i −0.998457 0.0555338i \(-0.982314\pi\)
0.694148 0.719832i \(-0.255781\pi\)
\(164\) −17316.9 231078.i −0.0502760 0.670886i
\(165\) −181981. 315200.i −0.520374 0.901315i
\(166\) −3309.84 + 5732.81i −0.00932259 + 0.0161472i
\(167\) −212329. 102252.i −0.589141 0.283715i 0.115468 0.993311i \(-0.463163\pi\)
−0.704609 + 0.709596i \(0.748877\pi\)
\(168\) −48126.5 + 349504.i −0.131556 + 0.955386i
\(169\) −472383. + 227488.i −1.27226 + 0.612690i
\(170\) 16117.5 215073.i 0.0427735 0.570772i
\(171\) −142611. + 43989.5i −0.372959 + 0.115043i
\(172\) −449616. + 138688.i −1.15883 + 0.357453i
\(173\) −44418.7 + 592727.i −0.112837 + 1.50570i 0.597516 + 0.801857i \(0.296155\pi\)
−0.710352 + 0.703846i \(0.751464\pi\)
\(174\) −65552.8 + 31568.5i −0.164141 + 0.0790463i
\(175\) 6177.89 44865.0i 0.0152491 0.110742i
\(176\) 108154. + 52084.3i 0.263185 + 0.126743i
\(177\) −296779. + 514036.i −0.712033 + 1.23328i
\(178\) 46849.3 + 81145.3i 0.110829 + 0.191961i
\(179\) −20049.8 267546.i −0.0467712 0.624118i −0.970505 0.241082i \(-0.922498\pi\)
0.923734 0.383036i \(-0.125121\pi\)
\(180\) −30273.1 77134.6i −0.0696427 0.177447i
\(181\) 34949.9 153126.i 0.0792957 0.347417i −0.919680 0.392669i \(-0.871552\pi\)
0.998976 + 0.0452517i \(0.0144090\pi\)
\(182\) −298601. 167354.i −0.668209 0.374504i
\(183\) 145887. + 639174.i 0.322025 + 1.41089i
\(184\) 433688. 295683.i 0.944350 0.643847i
\(185\) −346504. + 321509.i −0.744353 + 0.690659i
\(186\) 404434. + 60958.6i 0.857167 + 0.129197i
\(187\) −342131. 317451.i −0.715466 0.663855i
\(188\) 134881. + 169135.i 0.278327 + 0.349011i
\(189\) 5308.57 + 415986.i 0.0108099 + 0.847080i
\(190\) 263594. 330537.i 0.529727 0.664256i
\(191\) −416545. + 62784.0i −0.826187 + 0.124528i −0.548507 0.836146i \(-0.684804\pi\)
−0.277680 + 0.960674i \(0.589565\pi\)
\(192\) −83645.0 57028.2i −0.163752 0.111644i
\(193\) −4426.69 + 11279.0i −0.00855432 + 0.0217960i −0.935087 0.354418i \(-0.884679\pi\)
0.926533 + 0.376214i \(0.122774\pi\)
\(194\) 145762. + 44961.7i 0.278061 + 0.0857705i
\(195\) 967863. 1.82275
\(196\) 40761.9 + 404949.i 0.0757903 + 0.752940i
\(197\) 520965. 0.956408 0.478204 0.878249i \(-0.341288\pi\)
0.478204 + 0.878249i \(0.341288\pi\)
\(198\) 55079.6 + 16989.8i 0.0998454 + 0.0307982i
\(199\) 353651. 901087.i 0.633055 1.61300i −0.148321 0.988939i \(-0.547387\pi\)
0.781377 0.624060i \(-0.214518\pi\)
\(200\) 45270.1 + 30864.6i 0.0800270 + 0.0545615i
\(201\) −205642. + 30995.6i −0.359023 + 0.0541140i
\(202\) −190968. + 239467.i −0.329293 + 0.412920i
\(203\) −150777. + 123421.i −0.256800 + 0.210207i
\(204\) −343566. 430818.i −0.578009 0.724800i
\(205\) −413471. 383645.i −0.687164 0.637595i
\(206\) −152719. 23018.7i −0.250741 0.0377931i
\(207\) −142418. + 132145.i −0.231015 + 0.214350i
\(208\) −263753. + 179823.i −0.422706 + 0.288196i
\(209\) −203580. 891940.i −0.322380 1.41244i
\(210\) 212267. + 302958.i 0.332149 + 0.474062i
\(211\) −50330.2 + 220511.i −0.0778256 + 0.340976i −0.998818 0.0486039i \(-0.984523\pi\)
0.920992 + 0.389580i \(0.127380\pi\)
\(212\) 89202.3 + 227284.i 0.136313 + 0.347319i
\(213\) −36672.6 489362.i −0.0553851 0.739063i
\(214\) 278964. + 483179.i 0.416403 + 0.721230i
\(215\) −572644. + 991848.i −0.844867 + 1.46335i
\(216\) −453465. 218377.i −0.661316 0.318473i
\(217\) 1.09113e6 95784.9i 1.57299 0.138085i
\(218\) −191831. + 92380.8i −0.273386 + 0.131656i
\(219\) −21735.3 + 290038.i −0.0306236 + 0.408643i
\(220\) 485398. 149725.i 0.676147 0.208564i
\(221\) 1.18599e6 365829.i 1.63343 0.503845i
\(222\) 29010.8 387123.i 0.0395074 0.527189i
\(223\) −326182. + 157081.i −0.439236 + 0.211525i −0.640414 0.768030i \(-0.721237\pi\)
0.201178 + 0.979555i \(0.435523\pi\)
\(224\) −722807. 273089.i −0.962503 0.363650i
\(225\) −18271.5 8799.09i −0.0240612 0.0115873i
\(226\) 18156.4 31447.8i 0.0236461 0.0409562i
\(227\) −6825.75 11822.6i −0.00879197 0.0152281i 0.861596 0.507595i \(-0.169465\pi\)
−0.870388 + 0.492367i \(0.836132\pi\)
\(228\) −80720.0 1.07713e6i −0.102836 1.37225i
\(229\) 106955. + 272517.i 0.134776 + 0.343404i 0.982289 0.187370i \(-0.0599965\pi\)
−0.847513 + 0.530774i \(0.821901\pi\)
\(230\) 122467. 536564.i 0.152651 0.668808i
\(231\) 798967. + 49630.9i 0.985142 + 0.0611958i
\(232\) −52455.3 229822.i −0.0639837 0.280331i
\(233\) −173914. + 118572.i −0.209867 + 0.143085i −0.663692 0.748006i \(-0.731011\pi\)
0.453825 + 0.891091i \(0.350059\pi\)
\(234\) −112362. + 104257.i −0.134147 + 0.124470i
\(235\) 520689. + 78481.2i 0.615048 + 0.0927035i
\(236\) −607262. 563457.i −0.709735 0.658538i
\(237\) −22917.7 28737.9i −0.0265033 0.0332341i
\(238\) 374615. + 291004.i 0.428690 + 0.333009i
\(239\) 730370. 915856.i 0.827082 1.03713i −0.171568 0.985172i \(-0.554883\pi\)
0.998649 0.0519554i \(-0.0165454\pi\)
\(240\) 341125. 51416.3i 0.382284 0.0576200i
\(241\) −388094. 264598.i −0.430421 0.293456i 0.328665 0.944447i \(-0.393401\pi\)
−0.759086 + 0.650990i \(0.774354\pi\)
\(242\) 35067.5 89350.6i 0.0384917 0.0980752i
\(243\) 411906. + 127056.i 0.447489 + 0.138032i
\(244\) −915009. −0.983899
\(245\) 743166. + 655071.i 0.790989 + 0.697225i
\(246\) 463236. 0.488050
\(247\) 2.32480e6 + 717105.i 2.42462 + 0.747895i
\(248\) −484129. + 1.23354e6i −0.499841 + 1.27358i
\(249\) 34014.0 + 23190.4i 0.0347664 + 0.0237033i
\(250\) −451368. + 68032.8i −0.456752 + 0.0688443i
\(251\) 168304. 211046.i 0.168620 0.211443i −0.690340 0.723485i \(-0.742539\pi\)
0.858961 + 0.512042i \(0.171111\pi\)
\(252\) 178184. + 38283.9i 0.176753 + 0.0379765i
\(253\) −742566. 931149.i −0.729346 0.914572i
\(254\) −491045. 455623.i −0.477570 0.443120i
\(255\) −1.32629e6 199906.i −1.27729 0.192520i
\(256\) 493643. 458034.i 0.470775 0.436815i
\(257\) −754497. + 514407.i −0.712565 + 0.485819i −0.864539 0.502566i \(-0.832389\pi\)
0.151974 + 0.988385i \(0.451437\pi\)
\(258\) −209304. 917019.i −0.195762 0.857687i
\(259\) −168056. 1.02597e6i −0.155670 0.950351i
\(260\) −300582. + 1.31694e6i −0.275759 + 1.20818i
\(261\) 31876.9 + 81221.0i 0.0289651 + 0.0738018i
\(262\) 4758.49 + 63497.6i 0.00428268 + 0.0571484i
\(263\) 884384. + 1.53180e6i 0.788409 + 1.36556i 0.926941 + 0.375206i \(0.122428\pi\)
−0.138532 + 0.990358i \(0.544238\pi\)
\(264\) −484233. + 838716.i −0.427607 + 0.740637i
\(265\) 535456. + 257862.i 0.468392 + 0.225565i
\(266\) 285396. + 884975.i 0.247311 + 0.766879i
\(267\) 524999. 252826.i 0.450692 0.217042i
\(268\) 21690.2 289436.i 0.0184471 0.246159i
\(269\) 753916. 232552.i 0.635246 0.195947i 0.0396271 0.999215i \(-0.487383\pi\)
0.595619 + 0.803267i \(0.296907\pi\)
\(270\) −504283. + 155551.i −0.420983 + 0.129856i
\(271\) −150223. + 2.00458e6i −0.124255 + 1.65806i 0.492060 + 0.870561i \(0.336244\pi\)
−0.616314 + 0.787500i \(0.711375\pi\)
\(272\) 398569. 191941.i 0.326649 0.157306i
\(273\) −1.17662e6 + 1.77401e6i −0.955499 + 1.44062i
\(274\) 588073. + 283201.i 0.473211 + 0.227887i
\(275\) 62159.8 107664.i 0.0495653 0.0858497i
\(276\) −703070. 1.21775e6i −0.555553 0.962246i
\(277\) −11865.5 158335.i −0.00929155 0.123987i 0.990629 0.136579i \(-0.0436108\pi\)
−0.999921 + 0.0125920i \(0.995992\pi\)
\(278\) −198459. 505664.i −0.154013 0.392419i
\(279\) 109142. 478183.i 0.0839425 0.367776i
\(280\) −1.10999e6 + 452069.i −0.846107 + 0.344596i
\(281\) −508662. 2.22859e6i −0.384294 1.68370i −0.683850 0.729623i \(-0.739696\pi\)
0.299556 0.954079i \(-0.403161\pi\)
\(282\) −357317. + 243614.i −0.267566 + 0.182423i
\(283\) −1.01473e6 + 941531.i −0.753154 + 0.698825i −0.960140 0.279519i \(-0.909825\pi\)
0.206986 + 0.978344i \(0.433635\pi\)
\(284\) 677246. + 102078.i 0.498254 + 0.0750997i
\(285\) −1.92733e6 1.78830e6i −1.40554 1.30415i
\(286\) −585855. 734639.i −0.423521 0.531079i
\(287\) 1.20584e6 291463.i 0.864143 0.208871i
\(288\) −215727. + 270513.i −0.153258 + 0.192179i
\(289\) −296754. + 44728.5i −0.209003 + 0.0315021i
\(290\) −204221. 139236.i −0.142596 0.0972201i
\(291\) 346573. 883054.i 0.239918 0.611301i
\(292\) −387894. 119649.i −0.266229 0.0821209i
\(293\) 91114.5 0.0620038 0.0310019 0.999519i \(-0.490130\pi\)
0.0310019 + 0.999519i \(0.490130\pi\)
\(294\) −813347. + 20762.3i −0.548792 + 0.0140090i
\(295\) −2.01640e6 −1.34903
\(296\) 1.20189e6 + 370735.i 0.797328 + 0.245943i
\(297\) −417221. + 1.06306e6i −0.274457 + 0.699306i
\(298\) −283159. 193055.i −0.184710 0.125933i
\(299\) 3.13174e6 472034.i 2.02585 0.305348i
\(300\) 91514.9 114756.i 0.0587068 0.0736160i
\(301\) −1.12181e6 2.25539e6i −0.713681 1.43484i
\(302\) −313103. 392619.i −0.197547 0.247716i
\(303\) 1.39631e6 + 1.29559e6i 0.873726 + 0.810700i
\(304\) 857475. + 129244.i 0.532154 + 0.0802093i
\(305\) −1.63266e6 + 1.51489e6i −1.00495 + 0.932462i
\(306\) 175507. 119659.i 0.107150 0.0730533i
\(307\) 497234. + 2.17852e6i 0.301103 + 1.31922i 0.868466 + 0.495749i \(0.165106\pi\)
−0.567363 + 0.823468i \(0.692036\pi\)
\(308\) −315660. + 1.07171e6i −0.189602 + 0.643726i
\(309\) −213726. + 936396.i −0.127339 + 0.557909i
\(310\) 507620. + 1.29339e6i 0.300009 + 0.764410i
\(311\) −14308.9 190938.i −0.00838888 0.111942i 0.991437 0.130583i \(-0.0416850\pi\)
−0.999826 + 0.0186414i \(0.994066\pi\)
\(312\) −1.28769e6 2.23035e6i −0.748904 1.29714i
\(313\) 269681. 467101.i 0.155593 0.269495i −0.777682 0.628658i \(-0.783605\pi\)
0.933275 + 0.359163i \(0.116938\pi\)
\(314\) 1.02340e6 + 492844.i 0.585762 + 0.282088i
\(315\) 381318. 226691.i 0.216527 0.128723i
\(316\) 46220.0 22258.4i 0.0260383 0.0125394i
\(317\) 117913. 1.57344e6i 0.0659041 0.879429i −0.862071 0.506787i \(-0.830833\pi\)
0.927975 0.372642i \(-0.121548\pi\)
\(318\) −466411. + 143869.i −0.258643 + 0.0797809i
\(319\) −511112. + 157657.i −0.281216 + 0.0867436i
\(320\) 25700.7 342951.i 0.0140304 0.187222i
\(321\) 3.12610e6 1.50545e6i 1.69333 0.815463i
\(322\) 834592. + 876767.i 0.448575 + 0.471243i
\(323\) −3.03762e6 1.46284e6i −1.62005 0.780174i
\(324\) −844960. + 1.46351e6i −0.447171 + 0.774523i
\(325\) 165298. + 286305.i 0.0868079 + 0.150356i
\(326\) 58909.6 + 786094.i 0.0307003 + 0.409667i
\(327\) 483752. + 1.23258e6i 0.250180 + 0.637449i
\(328\) −333972. + 1.46323e6i −0.171406 + 0.750978i
\(329\) −776846. + 858969.i −0.395681 + 0.437510i
\(330\) 225960. + 989997.i 0.114221 + 0.500437i
\(331\) −266383. + 181617.i −0.133640 + 0.0911143i −0.628295 0.777975i \(-0.716247\pi\)
0.494655 + 0.869090i \(0.335294\pi\)
\(332\) −42117.8 + 39079.6i −0.0209711 + 0.0194583i
\(333\) −460344. 69385.8i −0.227495 0.0342894i
\(334\) 481993. + 447224.i 0.236415 + 0.219361i
\(335\) −440488. 552355.i −0.214448 0.268909i
\(336\) −320461. + 687759.i −0.154856 + 0.332344i
\(337\) 512695. 642899.i 0.245915 0.308367i −0.643520 0.765429i \(-0.722527\pi\)
0.889435 + 0.457062i \(0.151098\pi\)
\(338\) 1.44648e6 218022.i 0.688684 0.103802i
\(339\) −186587. 127213.i −0.0881824 0.0601218i
\(340\) 683901. 1.74255e6i 0.320846 0.817501i
\(341\) 2.87317e6 + 886255.i 1.33806 + 0.412736i
\(342\) 416384. 0.192499
\(343\) −2.10415e6 + 565795.i −0.965697 + 0.259671i
\(344\) 3.04750e6 1.38850
\(345\) −3.27061e6 1.00885e6i −1.47938 0.456329i
\(346\) 605864. 1.54372e6i 0.272073 0.693230i
\(347\) 2.86949e6 + 1.95638e6i 1.27932 + 0.872229i 0.996220 0.0868605i \(-0.0276834\pi\)
0.283104 + 0.959089i \(0.408636\pi\)
\(348\) −624449. + 94120.6i −0.276407 + 0.0416617i
\(349\) 851597. 1.06787e6i 0.374258 0.469304i −0.558659 0.829398i \(-0.688684\pi\)
0.932916 + 0.360094i \(0.117255\pi\)
\(350\) −53366.2 + 114532.i −0.0232861 + 0.0499755i
\(351\) −1.89346e6 2.37432e6i −0.820328 1.02866i
\(352\) −1.55484e6 1.44268e6i −0.668850 0.620602i
\(353\) 6913.71 + 1042.07i 0.00295307 + 0.000445104i 0.150519 0.988607i \(-0.451906\pi\)
−0.147566 + 0.989052i \(0.547144\pi\)
\(354\) 1.21396e6 1.12639e6i 0.514867 0.477727i
\(355\) 1.37742e6 939109.i 0.580090 0.395499i
\(356\) 180966. + 792865.i 0.0756785 + 0.331569i
\(357\) 1.97877e6 2.18795e6i 0.821722 0.908588i
\(358\) −166568. + 729783.i −0.0686885 + 0.300944i
\(359\) 926792. + 2.36143e6i 0.379530 + 0.967026i 0.985215 + 0.171322i \(0.0548038\pi\)
−0.605685 + 0.795704i \(0.707101\pi\)
\(360\) 40106.9 + 535189.i 0.0163103 + 0.217646i
\(361\) −2.06640e6 3.57912e6i −0.834540 1.44547i
\(362\) −219104. + 379500.i −0.0878779 + 0.152209i
\(363\) −537814. 258998.i −0.214223 0.103164i
\(364\) −2.04841e6 2.15193e6i −0.810334 0.851283i
\(365\) −890215. + 428705.i −0.349754 + 0.168433i
\(366\) 136694. 1.82405e6i 0.0533391 0.711760i
\(367\) 1.94781e6 600819.i 0.754885 0.232851i 0.106655 0.994296i \(-0.465986\pi\)
0.648230 + 0.761445i \(0.275510\pi\)
\(368\) 1.07871e6 332739.i 0.415228 0.128081i
\(369\) 41513.9 553964.i 0.0158718 0.211795i
\(370\) 1.18820e6 572206.i 0.451216 0.217294i
\(371\) −1.12359e6 + 667963.i −0.423811 + 0.251952i
\(372\) 3.19837e6 + 1.54026e6i 1.19832 + 0.577079i
\(373\) 91200.6 157964.i 0.0339411 0.0587877i −0.848556 0.529106i \(-0.822527\pi\)
0.882497 + 0.470318i \(0.155861\pi\)
\(374\) 651079. + 1.12770e6i 0.240688 + 0.416884i
\(375\) 212139. + 2.83079e6i 0.0779008 + 1.03951i
\(376\) −511898. 1.30430e6i −0.186730 0.475780i
\(377\) 316506. 1.38670e6i 0.114691 0.502493i
\(378\) 327942. 1.11341e6i 0.118050 0.400798i
\(379\) 603229. + 2.64292e6i 0.215717 + 0.945117i 0.960603 + 0.277925i \(0.0896467\pi\)
−0.744886 + 0.667192i \(0.767496\pi\)
\(380\) 3.03184e6 2.06707e6i 1.07708 0.734339i
\(381\) −3.05378e6 + 2.83349e6i −1.07777 + 1.00002i
\(382\) 1.16216e6 + 175168.i 0.407482 + 0.0614181i
\(383\) −503010. 466725.i −0.175218 0.162579i 0.587688 0.809087i \(-0.300038\pi\)
−0.762907 + 0.646508i \(0.776229\pi\)
\(384\) −1.88715e6 2.36641e6i −0.653098 0.818959i
\(385\) 1.21109e6 + 2.43487e6i 0.416413 + 0.837192i
\(386\) 21077.3 26430.1i 0.00720024 0.00902882i
\(387\) −1.11538e6 + 168117.i −0.378570 + 0.0570603i
\(388\) 1.09391e6 + 745813.i 0.368894 + 0.251507i
\(389\) −411071. + 1.04739e6i −0.137735 + 0.350942i −0.983053 0.183320i \(-0.941315\pi\)
0.845319 + 0.534263i \(0.179411\pi\)
\(390\) −2.58038e6 795941.i −0.859057 0.264984i
\(391\) −4.38901e6 −1.45186
\(392\) 520805. 2.58410e6i 0.171183 0.849363i
\(393\) 395995. 0.129333
\(394\) −1.38892e6 428426.i −0.450752 0.139039i
\(395\) 45619.9 116238.i 0.0147117 0.0374847i
\(396\) 413358. + 281823.i 0.132461 + 0.0903106i
\(397\) 1.91662e6 288884.i 0.610322 0.0919913i 0.163394 0.986561i \(-0.447756\pi\)
0.446929 + 0.894570i \(0.352518\pi\)
\(398\) −1.68388e6 + 2.11152e6i −0.532848 + 0.668170i
\(399\) 5.62084e6 1.35861e6i 1.76754 0.427230i
\(400\) 73469.2 + 92127.4i 0.0229591 + 0.0287898i
\(401\) −2.07968e6 1.92966e6i −0.645857 0.599268i 0.287690 0.957724i \(-0.407113\pi\)
−0.933547 + 0.358456i \(0.883303\pi\)
\(402\) 573744. + 86478.0i 0.177073 + 0.0266895i
\(403\) −5.86124e6 + 5.43844e6i −1.79774 + 1.66806i
\(404\) −2.19650e6 + 1.49755e6i −0.669542 + 0.456486i
\(405\) 915320. + 4.01028e6i 0.277291 + 1.21489i
\(406\) 503477. 205052.i 0.151588 0.0617376i
\(407\) 635049. 2.78233e6i 0.190030 0.832574i
\(408\) 1.30390e6 + 3.32228e6i 0.387787 + 0.988065i
\(409\) 219296. + 2.92630e6i 0.0648221 + 0.864990i 0.930945 + 0.365159i \(0.118986\pi\)
−0.866123 + 0.499831i \(0.833395\pi\)
\(410\) 786840. + 1.36285e6i 0.231167 + 0.400394i
\(411\) 2.02959e6 3.51535e6i 0.592656 1.02651i
\(412\) −1.20774e6 581619.i −0.350535 0.168809i
\(413\) 2.45132e6 3.69589e6i 0.707173 1.06621i
\(414\) 488367. 235185.i 0.140038 0.0674386i
\(415\) −10451.1 + 139460.i −0.00297881 + 0.0397494i
\(416\) 5.38980e6 1.66253e6i 1.52700 0.471017i
\(417\) −3.22813e6 + 995746.i −0.909098 + 0.280420i
\(418\) −190750. + 2.54538e6i −0.0533979 + 0.712545i
\(419\) −3.72531e6 + 1.79402e6i −1.03664 + 0.499219i −0.873214 0.487336i \(-0.837969\pi\)
−0.163425 + 0.986556i \(0.552254\pi\)
\(420\) 985448. + 3.05575e6i 0.272590 + 0.845267i
\(421\) 1.07197e6 + 516234.i 0.294766 + 0.141952i 0.575422 0.817856i \(-0.304838\pi\)
−0.280656 + 0.959808i \(0.590552\pi\)
\(422\) 315525. 546505.i 0.0862487 0.149387i
\(423\) 259307. + 449132.i 0.0704633 + 0.122046i
\(424\) −118178. 1.57698e6i −0.0319245 0.426002i
\(425\) −167378. 426473.i −0.0449497 0.114530i
\(426\) −304665. + 1.33483e6i −0.0813390 + 0.356370i
\(427\) −791846. 4.83416e6i −0.210170 1.28307i
\(428\) 1.07756e6 + 4.72111e6i 0.284337 + 1.24576i
\(429\) −4.82816e6 + 3.29179e6i −1.26660 + 0.863552i
\(430\) 2.34237e6 2.17340e6i 0.610919 0.566850i
\(431\) 919080. + 138529.i 0.238320 + 0.0359209i 0.267116 0.963664i \(-0.413929\pi\)
−0.0287963 + 0.999585i \(0.509167\pi\)
\(432\) −793484. 736246.i −0.204564 0.189808i
\(433\) 233432. + 292714.i 0.0598329 + 0.0750281i 0.810847 0.585258i \(-0.199007\pi\)
−0.751015 + 0.660286i \(0.770435\pi\)
\(434\) −2.98779e6 641945.i −0.761422 0.163596i
\(435\) −958386. + 1.20178e6i −0.242838 + 0.304510i
\(436\) −1.82736e6 + 275430.i −0.460371 + 0.0693898i
\(437\) −7.10850e6 4.84649e6i −1.78063 1.21401i
\(438\) 296466. 755383.i 0.0738397 0.188140i
\(439\) −4.00516e6 1.23543e6i −0.991878 0.305954i −0.243989 0.969778i \(-0.578456\pi\)
−0.747889 + 0.663824i \(0.768932\pi\)
\(440\) −3.29002e6 −0.810153
\(441\) −48061.1 + 974509.i −0.0117679 + 0.238610i
\(442\) −3.46276e6 −0.843075
\(443\) −7.21835e6 2.22657e6i −1.74755 0.539047i −0.754452 0.656356i \(-0.772097\pi\)
−0.993095 + 0.117309i \(0.962573\pi\)
\(444\) 1.23100e6 3.13653e6i 0.296346 0.755079i
\(445\) 1.63557e6 + 1.11511e6i 0.391533 + 0.266943i
\(446\) 998800. 150545.i 0.237761 0.0358368i
\(447\) −1.32883e6 + 1.66630e6i −0.314559 + 0.394444i
\(448\) 597356. + 464030.i 0.140617 + 0.109232i
\(449\) 3.29130e6 + 4.12716e6i 0.770462 + 0.966129i 0.999974 0.00717672i \(-0.00228444\pi\)
−0.229512 + 0.973306i \(0.573713\pi\)
\(450\) 41476.8 + 38484.8i 0.00965547 + 0.00895897i
\(451\) 3.36740e6 + 507555.i 0.779568 + 0.117501i
\(452\) 231041. 214375.i 0.0531916 0.0493546i
\(453\) −2.58036e6 + 1.75926e6i −0.590791 + 0.402795i
\(454\) 8475.34 + 37132.9i 0.00192982 + 0.00845511i
\(455\) −7.21774e6 448358.i −1.63445 0.101530i
\(456\) −1.55676e6 + 6.82061e6i −0.350598 + 1.53607i
\(457\) −2.03428e6 5.18327e6i −0.455639 1.16095i −0.955539 0.294866i \(-0.904725\pi\)
0.499899 0.866083i \(-0.333370\pi\)
\(458\) −61038.5 814503.i −0.0135969 0.181438i
\(459\) 2.10426e6 + 3.64468e6i 0.466194 + 0.807472i
\(460\) 2.38843e6 4.13688e6i 0.526282 0.911546i
\(461\) 6.79431e6 + 3.27197e6i 1.48899 + 0.717062i 0.988855 0.148883i \(-0.0475679\pi\)
0.500139 + 0.865945i \(0.333282\pi\)
\(462\) −2.08928e6 789365.i −0.455398 0.172057i
\(463\) 6.78318e6 3.26661e6i 1.47055 0.708181i 0.484528 0.874776i \(-0.338991\pi\)
0.986026 + 0.166594i \(0.0532770\pi\)
\(464\) 37886.5 505560.i 0.00816938 0.109013i
\(465\) 8.25695e6 2.54693e6i 1.77087 0.546241i
\(466\) 561175. 173099.i 0.119711 0.0369259i
\(467\) 29659.8 395783.i 0.00629327 0.0839779i −0.993173 0.116653i \(-0.962784\pi\)
0.999466 + 0.0326749i \(0.0104026\pi\)
\(468\) −1.19864e6 + 577235.i −0.252973 + 0.121825i
\(469\) 1.54791e6 135884.i 0.324949 0.0285256i
\(470\) −1.32365e6 637434.i −0.276393 0.133104i
\(471\) 3.53201e6 6.11761e6i 0.733617 1.27066i
\(472\) 2.68273e6 + 4.64662e6i 0.554270 + 0.960023i
\(473\) −516741. 6.89543e6i −0.106199 1.41713i
\(474\) 37466.7 + 95463.7i 0.00765949 + 0.0195161i
\(475\) 199837. 875545.i 0.0406390 0.178051i
\(476\) 2.36253e6 + 3.37194e6i 0.477926 + 0.682122i
\(477\) 130248. + 570655.i 0.0262106 + 0.114836i
\(478\) −2.70038e6 + 1.84109e6i −0.540574 + 0.368557i
\(479\) −3.63711e6 + 3.37475e6i −0.724300 + 0.672052i −0.953522 0.301322i \(-0.902572\pi\)
0.229223 + 0.973374i \(0.426382\pi\)
\(480\) −6.02742e6 908487.i −1.19407 0.179976i
\(481\) 5.56326e6 + 5.16195e6i 1.09639 + 1.01730i
\(482\) 817083. + 1.02459e6i 0.160195 + 0.200878i
\(483\) 5.82518e6 4.76829e6i 1.13616 0.930025i
\(484\) 519434. 651349.i 0.100790 0.126386i
\(485\) 3.18664e6 480309.i 0.615147 0.0927185i
\(486\) −993679. 677479.i −0.190834 0.130108i
\(487\) −1.22088e6 + 3.11075e6i −0.233265 + 0.594350i −0.998796 0.0490488i \(-0.984381\pi\)
0.765531 + 0.643399i \(0.222476\pi\)
\(488\) 5.66309e6 + 1.74683e6i 1.07648 + 0.332049i
\(489\) 4.90237e6 0.927116
\(490\) −1.44261e6 2.35761e6i −0.271431 0.443591i
\(491\) 9.23208e6 1.72821 0.864103 0.503314i \(-0.167886\pi\)
0.864103 + 0.503314i \(0.167886\pi\)
\(492\) 3.84202e6 + 1.18511e6i 0.715561 + 0.220721i
\(493\) −720132. + 1.83487e6i −0.133443 + 0.340006i
\(494\) −5.60832e6 3.82369e6i −1.03399 0.704961i
\(495\) 1.20415e6 181496.i 0.220885 0.0332931i
\(496\) −1.77690e6 + 2.22816e6i −0.324308 + 0.406670i
\(497\) 46787.9 + 3.66636e6i 0.00849654 + 0.665800i
\(498\) −71612.3 89799.0i −0.0129394 0.0162255i
\(499\) −1.38697e6 1.28692e6i −0.249353 0.231366i 0.545586 0.838055i \(-0.316307\pi\)
−0.794939 + 0.606689i \(0.792497\pi\)
\(500\) −3.91764e6 590489.i −0.700809 0.105630i
\(501\) 2.99748e6 2.78126e6i 0.533534 0.495047i
\(502\) −622266. + 424254.i −0.110209 + 0.0751392i
\(503\) −1.31673e6 5.76896e6i −0.232047 1.01666i −0.947939 0.318453i \(-0.896837\pi\)
0.715892 0.698211i \(-0.246020\pi\)
\(504\) −1.02971e6 577112.i −0.180568 0.101201i
\(505\) −1.43990e6 + 6.30862e6i −0.251249 + 1.10079i
\(506\) 1.21398e6 + 3.09316e6i 0.210782 + 0.537064i
\(507\) −679831. 9.07172e6i −0.117458 1.56736i
\(508\) −2.90704e6 5.03514e6i −0.499794 0.865669i
\(509\) 3.45043e6 5.97633e6i 0.590309 1.02244i −0.403882 0.914811i \(-0.632339\pi\)
0.994191 0.107634i \(-0.0343273\pi\)
\(510\) 3.37157e6 + 1.62366e6i 0.573993 + 0.276421i
\(511\) 296448. 2.15286e6i 0.0502222 0.364723i
\(512\) 3.33664e6 1.60684e6i 0.562515 0.270893i
\(513\) −616495. + 8.22655e6i −0.103428 + 1.38014i
\(514\) 2.43456e6 750964.i 0.406456 0.125375i
\(515\) −3.11792e6 + 961751.i −0.518021 + 0.159788i
\(516\) 610092. 8.14111e6i 0.100872 1.34604i
\(517\) −2.86437e6 + 1.37941e6i −0.471306 + 0.226969i
\(518\) −395678. + 2.87349e6i −0.0647915 + 0.470528i
\(519\) −9.29184e6 4.47472e6i −1.51420 0.729201i
\(520\) 4.37448e6 7.57683e6i 0.709445 1.22879i
\(521\) 536474. + 929200.i 0.0865873 + 0.149974i 0.906067 0.423135i \(-0.139071\pi\)
−0.819479 + 0.573109i \(0.805737\pi\)
\(522\) −18191.9 242754.i −0.00292215 0.0389934i
\(523\) 2.26513e6 + 5.77145e6i 0.362108 + 0.922637i 0.989578 + 0.143996i \(0.0459953\pi\)
−0.627470 + 0.778641i \(0.715909\pi\)
\(524\) −122981. + 538815.i −0.0195664 + 0.0857259i
\(525\) 685474. + 384180.i 0.108541 + 0.0608327i
\(526\) −1.09811e6 4.81115e6i −0.173055 0.758202i
\(527\) 9.15511e6 6.24185e6i 1.43594 0.979009i
\(528\) −1.52682e6 + 1.41669e6i −0.238344 + 0.221151i
\(529\) −4.71036e6 709973.i −0.731839 0.110307i
\(530\) −1.21550e6 1.12782e6i −0.187960 0.174401i
\(531\) −1.23821e6 1.55267e6i −0.190571 0.238969i
\(532\) 102985. + 8.07001e6i 0.0157759 + 1.23622i
\(533\) −5.64626e6 + 7.08018e6i −0.860880 + 1.07951i
\(534\) −1.60759e6 + 242306.i −0.243962 + 0.0367714i
\(535\) 9.73898e6 + 6.63992e6i 1.47106 + 1.00295i
\(536\) −686803. + 1.74994e6i −0.103257 + 0.263095i
\(537\) 4.44836e6 + 1.37214e6i 0.665679 + 0.205335i
\(538\) −2.20123e6 −0.327875
\(539\) −5.93522e6 740235.i −0.879964 0.109748i
\(540\) −4.58041e6 −0.675959
\(541\) −5.15490e6 1.59008e6i −0.757229 0.233574i −0.107983 0.994153i \(-0.534439\pi\)
−0.649246 + 0.760579i \(0.724915\pi\)
\(542\) 2.04901e6 5.22079e6i 0.299603 0.763376i
\(543\) 2.25166e6 + 1.53515e6i 0.327720 + 0.223436i
\(544\) −7.72918e6 + 1.16499e6i −1.11979 + 0.168781i
\(545\) −2.80458e6 + 3.51683e6i −0.404461 + 0.507178i
\(546\) 4.59583e6 3.76199e6i 0.659755 0.540052i
\(547\) −4.27249e6 5.35754e6i −0.610539 0.765591i 0.376440 0.926441i \(-0.377148\pi\)
−0.986979 + 0.160850i \(0.948577\pi\)
\(548\) 4.15289e6 + 3.85332e6i 0.590744 + 0.548130i
\(549\) −2.16906e6 326932.i −0.307142 0.0462943i
\(550\) −254261. + 235920.i −0.0358405 + 0.0332551i
\(551\) −3.19245e6 + 2.17658e6i −0.447967 + 0.305418i
\(552\) 2.02658e6 + 8.87903e6i 0.283085 + 1.24027i
\(553\) 157594. + 224926.i 0.0219142 + 0.0312772i
\(554\) −98575.4 + 431887.i −0.0136457 + 0.0597855i
\(555\) −2.99636e6 7.63459e6i −0.412915 1.05209i
\(556\) −352339. 4.70164e6i −0.0483364 0.645004i
\(557\) 4.74558e6 + 8.21959e6i 0.648115 + 1.12257i 0.983573 + 0.180512i \(0.0577755\pi\)
−0.335458 + 0.942055i \(0.608891\pi\)
\(558\) −684223. + 1.18511e6i −0.0930276 + 0.161129i
\(559\) 1.65670e7 + 7.97827e6i 2.24241 + 1.07989i
\(560\) −2.56773e6 + 225408.i −0.346002 + 0.0303738i
\(561\) 7.29607e6 3.51360e6i 0.978773 0.471352i
\(562\) −476606. + 6.35987e6i −0.0636530 + 0.849390i
\(563\) −5.81032e6 + 1.79225e6i −0.772554 + 0.238301i −0.655876 0.754869i \(-0.727701\pi\)
−0.116678 + 0.993170i \(0.537224\pi\)
\(564\) −3.58679e6 + 1.10638e6i −0.474797 + 0.146455i
\(565\) 57330.5 765023.i 0.00755553 0.100821i
\(566\) 3.47961e6 1.67569e6i 0.456551 0.219864i
\(567\) −8.46324e6 3.19756e6i −1.10555 0.417697i
\(568\) −3.99668e6 1.92470e6i −0.519791 0.250318i
\(569\) −5.08034e6 + 8.79940e6i −0.657827 + 1.13939i 0.323349 + 0.946280i \(0.395191\pi\)
−0.981177 + 0.193111i \(0.938142\pi\)
\(570\) 3.66773e6 + 6.35270e6i 0.472836 + 0.818976i
\(571\) −533522. 7.11935e6i −0.0684797 0.913798i −0.920614 0.390474i \(-0.872311\pi\)
0.852134 0.523324i \(-0.175308\pi\)
\(572\) −2.97957e6 7.59181e6i −0.380770 0.970187i
\(573\) 1.62642e6 7.12580e6i 0.206940 0.906665i
\(574\) −3.45453e6 214592.i −0.437633 0.0271852i
\(575\) −260147. 1.13978e6i −0.0328133 0.143764i
\(576\) 279860. 190806.i 0.0351468 0.0239627i
\(577\) −9.25847e6 + 8.59061e6i −1.15771 + 1.07420i −0.161531 + 0.986868i \(0.551643\pi\)
−0.996179 + 0.0873306i \(0.972166\pi\)
\(578\) 827947. + 124793.i 0.103082 + 0.0155371i
\(579\) −154112. 142995.i −0.0191047 0.0177266i
\(580\) −1.33758e6 1.67727e6i −0.165101 0.207030i
\(581\) −242913. 188697.i −0.0298546 0.0231912i
\(582\) −1.65018e6 + 2.06926e6i −0.201941 + 0.253226i
\(583\) −3.54812e6 + 534793.i −0.432342 + 0.0651650i
\(584\) 2.17230e6 + 1.48105e6i 0.263565 + 0.179695i
\(585\) −1.18308e6 + 3.01444e6i −0.142930 + 0.364180i
\(586\) −242917. 74929.8i −0.0292222 0.00901386i
\(587\) −1.41985e7 −1.70078 −0.850390 0.526154i \(-0.823634\pi\)
−0.850390 + 0.526154i \(0.823634\pi\)
\(588\) −6.79892e6 1.90860e6i −0.810954 0.227653i
\(589\) 2.17202e7 2.57973
\(590\) 5.37585e6 + 1.65823e6i 0.635795 + 0.196117i
\(591\) −3.30239e6 + 8.41436e6i −0.388920 + 0.990951i
\(592\) 2.23500e6 + 1.52380e6i 0.262104 + 0.178700i
\(593\) −4.38746e6 + 661304.i −0.512362 + 0.0772261i −0.400134 0.916456i \(-0.631037\pi\)
−0.112227 + 0.993683i \(0.535798\pi\)
\(594\) 1.98656e6 2.49107e6i 0.231013 0.289681i
\(595\) 9.79807e6 + 2.10518e6i 1.13461 + 0.243779i
\(596\) −1.85459e6 2.32559e6i −0.213862 0.268174i
\(597\) 1.23121e7 + 1.14240e7i 1.41383 + 1.31184i
\(598\) −8.73759e6 1.31698e6i −0.999168 0.150600i
\(599\) −1.13697e6 + 1.05496e6i −0.129474 + 0.120134i −0.742252 0.670121i \(-0.766242\pi\)
0.612778 + 0.790255i \(0.290052\pi\)
\(600\) −785476. + 535528.i −0.0890747 + 0.0607301i
\(601\) −185932. 814622.i −0.0209975 0.0919962i 0.963343 0.268271i \(-0.0864523\pi\)
−0.984341 + 0.176275i \(0.943595\pi\)
\(602\) 1.13606e6 + 6.93554e6i 0.127764 + 0.779990i
\(603\) 154833. 678367.i 0.0173408 0.0759751i
\(604\) −1.59239e6 4.05736e6i −0.177606 0.452533i
\(605\) −151542. 2.02218e6i −0.0168323 0.224612i
\(606\) −2.65719e6 4.60239e6i −0.293928 0.509099i
\(607\) 1.55343e6 2.69061e6i 0.171127 0.296401i −0.767687 0.640825i \(-0.778592\pi\)
0.938814 + 0.344424i \(0.111926\pi\)
\(608\) −1.38047e7 6.64799e6i −1.51449 0.729342i
\(609\) −1.03765e6 3.21763e6i −0.113373 0.351555i
\(610\) 5.59857e6 2.69613e6i 0.609189 0.293370i
\(611\) 631790. 8.43065e6i 0.0684652 0.913604i
\(612\) 1.76176e6 543430.i 0.190137 0.0586496i
\(613\) 1.01339e7 3.12590e6i 1.08925 0.335988i 0.302428 0.953172i \(-0.402203\pi\)
0.786819 + 0.617184i \(0.211727\pi\)
\(614\) 465898. 6.21698e6i 0.0498735 0.665516i
\(615\) 8.81742e6 4.24625e6i 0.940056 0.452707i
\(616\) 3.99965e6 6.03032e6i 0.424688 0.640308i
\(617\) −1.52021e7 7.32093e6i −1.60764 0.774201i −0.607841 0.794058i \(-0.707964\pi\)
−0.999803 + 0.0198577i \(0.993679\pi\)
\(618\) 1.33987e6 2.32072e6i 0.141121 0.244429i
\(619\) 5.03775e6 + 8.72563e6i 0.528457 + 0.915314i 0.999449 + 0.0331772i \(0.0105626\pi\)
−0.470992 + 0.882137i \(0.656104\pi\)
\(620\) 901217. + 1.20259e7i 0.0941565 + 1.25643i
\(621\) 3.92351e6 + 9.99694e6i 0.408268 + 1.04025i
\(622\) −118874. + 520820.i −0.0123200 + 0.0539774i
\(623\) −4.03224e6 + 1.64222e6i −0.416224 + 0.169516i
\(624\) −1.23249e6 5.39989e6i −0.126713 0.555167i
\(625\) −8.86989e6 + 6.04739e6i −0.908277 + 0.619252i
\(626\) −1.10312e6 + 1.02354e6i −0.112508 + 0.104393i
\(627\) 1.56966e7 + 2.36589e6i 1.59455 + 0.240340i
\(628\) 7.22711e6 + 6.70577e6i 0.731249 + 0.678500i
\(629\) −6.55732e6 8.22263e6i −0.660846 0.828674i
\(630\) −1.20304e6 + 290785.i −0.120762 + 0.0291891i
\(631\) −9.29152e6 + 1.16512e7i −0.928995 + 1.16492i 0.0570383 + 0.998372i \(0.481834\pi\)
−0.986033 + 0.166550i \(0.946737\pi\)
\(632\) −328554. + 49521.5i −0.0327201 + 0.00493175i
\(633\) −3.24254e6 2.21072e6i −0.321644 0.219293i
\(634\) −1.60831e6 + 4.09790e6i −0.158908 + 0.404891i
\(635\) −1.35232e7 4.17137e6i −1.33090 0.410529i
\(636\) −4.23642e6 −0.415295
\(637\) 9.59634e6 1.26844e7i 0.937038 1.23857i
\(638\) 1.49231e6 0.145147
\(639\) 1.56896e6 + 483960.i 0.152006 + 0.0468875i
\(640\) 3.75656e6 9.57155e6i 0.362527 0.923703i
\(641\) 569058. + 387977.i 0.0547031 + 0.0372959i 0.590363 0.807138i \(-0.298985\pi\)
−0.535660 + 0.844434i \(0.679937\pi\)
\(642\) −9.57241e6 + 1.44281e6i −0.916608 + 0.138156i
\(643\) 3.80567e6 4.77215e6i 0.362997 0.455184i −0.566474 0.824080i \(-0.691693\pi\)
0.929471 + 0.368896i \(0.120264\pi\)
\(644\) 4.67895e6 + 9.40696e6i 0.444564 + 0.893788i
\(645\) −1.23898e7 1.55364e7i −1.17264 1.47045i
\(646\) 6.89549e6 + 6.39808e6i 0.650105 + 0.603209i
\(647\) −1.66179e7 2.50474e6i −1.56068 0.235235i −0.688802 0.724950i \(-0.741863\pi\)
−0.871883 + 0.489714i \(0.837101\pi\)
\(648\) 8.02353e6 7.44475e6i 0.750634 0.696486i
\(649\) 1.00588e7 6.85797e6i 0.937420 0.639122i
\(650\) −205246. 899241.i −0.0190542 0.0834820i
\(651\) −5.36959e6 + 1.82305e7i −0.496580 + 1.68596i
\(652\) −1.52249e6 + 6.67048e6i −0.140261 + 0.614523i
\(653\) −5.95735e6 1.51791e7i −0.546727 1.39304i −0.890930 0.454141i \(-0.849946\pi\)
0.344203 0.938895i \(-0.388149\pi\)
\(654\) −276074. 3.68395e6i −0.0252395 0.336798i
\(655\) 672626. + 1.16502e6i 0.0612591 + 0.106104i
\(656\) −1.61391e6 + 2.79537e6i −0.146427 + 0.253618i
\(657\) −876763. 422227.i −0.0792445 0.0381621i
\(658\) 2.77751e6 1.65120e6i 0.250087 0.148674i
\(659\) 1.93159e7 9.30203e6i 1.73261 0.834381i 0.747110 0.664700i \(-0.231441\pi\)
0.985499 0.169680i \(-0.0542735\pi\)
\(660\) −658644. + 8.78899e6i −0.0588560 + 0.785379i
\(661\) 3.69217e6 1.13888e6i 0.328683 0.101385i −0.126022 0.992027i \(-0.540221\pi\)
0.454705 + 0.890642i \(0.349745\pi\)
\(662\) 859549. 265136.i 0.0762300 0.0235138i
\(663\) −1.60929e6 + 2.14744e7i −0.142183 + 1.89731i
\(664\) 335278. 161461.i 0.0295111 0.0142118i
\(665\) 1.35445e7 + 1.42289e7i 1.18770 + 1.24772i
\(666\) 1.17024e6 + 563560.i 0.102233 + 0.0492328i
\(667\) −2.51496e6 + 4.35604e6i −0.218885 + 0.379121i
\(668\) 2.85345e6 + 4.94232e6i 0.247417 + 0.428538i
\(669\) −469426. 6.26406e6i −0.0405511 0.541116i
\(670\) 720127. + 1.83485e6i 0.0619758 + 0.157912i
\(671\) 2.99223e6 1.31098e7i 0.256560 1.12406i
\(672\) 8.99265e6 9.94329e6i 0.768183 0.849389i
\(673\) 695388. + 3.04669e6i 0.0591820 + 0.259293i 0.995860 0.0908980i \(-0.0289737\pi\)
−0.936678 + 0.350191i \(0.886117\pi\)
\(674\) −1.89558e6 + 1.29238e6i −0.160728 + 0.109582i
\(675\) −821760. + 762482.i −0.0694202 + 0.0644125i
\(676\) 1.25547e7 + 1.89231e6i 1.05667 + 0.159267i
\(677\) −1.76227e6 1.63515e6i −0.147775 0.137115i 0.602821 0.797876i \(-0.294043\pi\)
−0.750596 + 0.660761i \(0.770234\pi\)
\(678\) 392836. + 492600.i 0.0328199 + 0.0411548i
\(679\) −2.99361e6 + 6.42474e6i −0.249184 + 0.534787i
\(680\) −7.55943e6 + 9.47923e6i −0.626927 + 0.786141i
\(681\) 234220. 35303.0i 0.0193534 0.00291705i
\(682\) −6.93120e6 4.72561e6i −0.570621 0.389042i
\(683\) 3.48883e6 8.88940e6i 0.286173 0.729156i −0.713423 0.700733i \(-0.752856\pi\)
0.999596 0.0284229i \(-0.00904851\pi\)
\(684\) 3.45344e6 + 1.06524e6i 0.282235 + 0.0870580i
\(685\) 1.37896e7 1.12286
\(686\) 6.07507e6 + 221946.i 0.492880 + 0.0180068i
\(687\) −5.07954e6 −0.410613
\(688\) 6.26292e6 + 1.93186e6i 0.504436 + 0.155598i
\(689\) 3.48605e6 8.88230e6i 0.279760 0.712816i
\(690\) 7.88998e6 + 5.37930e6i 0.630889 + 0.430133i
\(691\) −8.32618e6 + 1.25497e6i −0.663362 + 0.0999857i −0.472089 0.881551i \(-0.656500\pi\)
−0.191273 + 0.981537i \(0.561262\pi\)
\(692\) 8.97428e6 1.12534e7i 0.712417 0.893343i
\(693\) −1.13120e6 + 2.42774e6i −0.0894763 + 0.192030i
\(694\) −6.04135e6 7.57561e6i −0.476141 0.597062i
\(695\) −8.41272e6 7.80586e6i −0.660654 0.612998i
\(696\) 4.04447e6 + 609606.i 0.316475 + 0.0477009i
\(697\) 9.19960e6 8.53598e6i 0.717277 0.665536i
\(698\) −3.14859e6 + 2.14667e6i −0.244612 + 0.166774i
\(699\) −812682. 3.56059e6i −0.0629112 0.275632i
\(700\) −735623. + 813388.i −0.0567427 + 0.0627411i
\(701\) −2.48158e6 + 1.08725e7i −0.190736 + 0.835669i 0.785483 + 0.618883i \(0.212414\pi\)
−0.976219 + 0.216786i \(0.930443\pi\)
\(702\) 3.09549e6 + 7.88719e6i 0.237076 + 0.604059i
\(703\) −1.54063e6 2.05583e7i −0.117574 1.56891i
\(704\) 1.03820e6 + 1.79822e6i 0.0789496 + 0.136745i
\(705\) −4.56823e6 + 7.91240e6i −0.346158 + 0.599564i
\(706\) −17575.4 8463.85i −0.00132707 0.000639082i
\(707\) −9.81267e6 1.03085e7i −0.738310 0.775620i
\(708\) 1.29501e7 6.23643e6i 0.970933 0.467577i
\(709\) −572310. + 7.63695e6i −0.0427578 + 0.570564i 0.934147 + 0.356889i \(0.116162\pi\)
−0.976905 + 0.213675i \(0.931457\pi\)
\(710\) −4.44458e6 + 1.37097e6i −0.330891 + 0.102066i
\(711\) 117519. 36249.7i 0.00871833 0.00268925i
\(712\) 393629. 5.25261e6i 0.0290996 0.388307i
\(713\) 2.54751e7 1.22682e7i 1.87669 0.903765i
\(714\) −7.07482e6 + 4.20592e6i −0.519362 + 0.308756i
\(715\) −1.78855e7 8.61320e6i −1.30839 0.630085i
\(716\) −3.24852e6 + 5.62659e6i −0.236811 + 0.410169i
\(717\) 1.01626e7 + 1.76022e7i 0.738257 + 1.27870i
\(718\) −528914. 7.05786e6i −0.0382890 0.510931i
\(719\) 7.75768e6 + 1.97662e7i 0.559641 + 1.42594i 0.878317 + 0.478078i \(0.158667\pi\)
−0.318676 + 0.947864i \(0.603238\pi\)
\(720\) −256841. + 1.12529e6i −0.0184643 + 0.0808974i
\(721\) 2.02762e6 6.88407e6i 0.145261 0.493182i
\(722\) 2.56579e6 + 1.12415e7i 0.183180 + 0.802566i
\(723\) 6.73376e6 4.59100e6i 0.479084 0.326634i
\(724\) −2.78811e6 + 2.58699e6i −0.197680 + 0.183420i
\(725\) −519179. 78253.7i −0.0366836 0.00552917i
\(726\) 1.22085e6 + 1.13278e6i 0.0859649 + 0.0797638i
\(727\) −4.60269e6 5.77159e6i −0.322980 0.405004i 0.593661 0.804715i \(-0.297682\pi\)
−0.916641 + 0.399711i \(0.869110\pi\)
\(728\) 8.56965e6 + 1.72291e7i 0.599286 + 1.20486i
\(729\) 5.90988e6 7.41075e6i 0.411870 0.516468i
\(730\) 2.72592e6 410866.i 0.189324 0.0285360i
\(731\) −2.10544e7 1.43547e7i −1.45730 0.993574i
\(732\) 5.80023e6 1.47787e7i 0.400099 1.01944i
\(733\) −1.40124e7 4.32226e6i −0.963283 0.297133i −0.227066 0.973879i \(-0.572913\pi\)
−0.736217 + 0.676746i \(0.763390\pi\)
\(734\) −5.68706e6 −0.389626
\(735\) −1.52913e7 + 7.85074e6i −1.04406 + 0.536034i
\(736\) −1.99462e7 −1.35727
\(737\) 4.07597e6 + 1.25727e6i 0.276416 + 0.0852629i
\(738\) −566242. + 1.44276e6i −0.0382702 + 0.0975110i
\(739\) −1.25403e7 8.54984e6i −0.844690 0.575900i 0.0618188 0.998087i \(-0.480310\pi\)
−0.906508 + 0.422188i \(0.861262\pi\)
\(740\) 1.13187e7 1.70601e6i 0.759829 0.114526i
\(741\) −2.63192e7 + 3.30032e7i −1.76087 + 2.20806i
\(742\) 3.54486e6 856825.i 0.236368 0.0571324i
\(743\) 1.30083e7 + 1.63119e7i 0.864465 + 1.08401i 0.995698 + 0.0926537i \(0.0295350\pi\)
−0.131233 + 0.991352i \(0.541894\pi\)
\(744\) −1.68546e7 1.56388e7i −1.11631 1.03579i
\(745\) −7.15941e6 1.07911e6i −0.472592 0.0712318i
\(746\) −373051. + 346141.i −0.0245426 + 0.0227722i
\(747\) −113805. + 77590.7i −0.00746205 + 0.00508754i
\(748\) 2.51495e6 + 1.10187e7i 0.164352 + 0.720072i
\(749\) −2.40100e7 + 9.77860e6i −1.56382 + 0.636901i
\(750\) 1.76239e6 7.72152e6i 0.114406 0.501244i
\(751\) 5.90597e6 + 1.50482e7i 0.382112 + 0.973606i 0.984497 + 0.175401i \(0.0561220\pi\)
−0.602385 + 0.798206i \(0.705783\pi\)
\(752\) −225191. 3.00496e6i −0.0145213 0.193774i
\(753\) 2.34183e6 + 4.05618e6i 0.150511 + 0.260693i
\(754\) −1.98420e6 + 3.43674e6i −0.127104 + 0.220150i
\(755\) −9.55869e6 4.60322e6i −0.610282 0.293897i
\(756\) 5.56837e6 8.39550e6i 0.354342 0.534247i
\(757\) −1.93810e7 + 9.33341e6i −1.22924 + 0.591971i −0.931870 0.362791i \(-0.881824\pi\)
−0.297370 + 0.954762i \(0.596110\pi\)
\(758\) 565213. 7.54225e6i 0.0357305 0.476791i
\(759\) 1.97465e7 6.09100e6i 1.24419 0.383782i
\(760\) −2.27106e7 + 7.00530e6i −1.42625 + 0.439939i
\(761\) 1.64118e6