Properties

Label 49.6.g.a.25.9
Level $49$
Weight $6$
Character 49.25
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 25.9
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.9

$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\)

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 −0.521300 0.853373i \(-0.674553\pi\)
0.0500036 + 0.998749i \(0.484077\pi\)
\(3\) −6.33899 16.1515i −0.406646 1.03612i −0.976719 0.214523i \(-0.931180\pi\)
0.570073 0.821594i \(-0.306915\pi\)
\(4\) −20.0081 + 13.6413i −0.625252 + 0.426290i
\(5\) −58.2851 8.78507i −1.04264 0.157152i −0.394671 0.918822i \(-0.629142\pi\)
−0.647965 + 0.761670i \(0.724380\pi\)
\(6\) 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 0.934687 0.355473i \(-0.115680\pi\)
−0.284630 + 0.958638i \(0.591871\pi\)
\(12\) 347.157 + 236.688i 0.695943 + 0.474486i
\(13\) 210.585 922.633i 0.345596 1.51416i −0.441463 0.897279i \(-0.645540\pi\)
0.787060 0.616877i \(-0.211602\pi\)
\(14\) −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 0.791501 + 0.611168i \(0.209300\pi\)
−0.873751 + 0.486374i \(0.838319\pi\)
\(18\) 80.9839 140.268i 0.0589139 0.102042i
\(19\) 1285.39 + 2226.36i 0.816866 + 1.41485i 0.907980 + 0.419013i \(0.137624\pi\)
−0.0911142 + 0.995840i \(0.529043\pi\)
\(20\) 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 0.798835 + 0.601550i \(0.205450\pi\)
−0.700256 + 0.713892i \(0.746931\pi\)
\(24\) −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 −0.577368 0.816484i \(-0.695920\pi\)
0.278370 + 0.960474i \(0.410206\pi\)
\(30\) −1426.70 2471.12i −0.289421 0.501292i
\(31\) 4224.43 7316.93i 0.789522 1.36749i −0.136738 0.990607i \(-0.543662\pi\)
0.926260 0.376885i \(-0.123005\pi\)
\(32\) −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 0.891558 0.452907i \(-0.149613\pi\)
−0.0958766 + 0.995393i \(0.530565\pi\)
\(38\) −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 −0.423193 0.906040i \(-0.639091\pi\)
0.977493 + 0.210970i \(0.0676622\pi\)
\(42\) −2794.92 + 5619.13i −0.244481 + 0.491526i
\(43\) 12114.6 + 15191.2i 0.999164 + 1.25291i 0.967357 + 0.253419i \(0.0815550\pi\)
0.0318078 + 0.999494i \(0.489874\pi\)
\(44\) −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 −0.563487 0.826125i \(-0.690541\pi\)
−0.000202160 1.00000i \(0.500064\pi\)
\(48\) −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 −0.749622 0.661867i \(-0.769764\pi\)
0.342247 + 0.939610i \(0.388812\pi\)
\(54\) 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 0.518006 0.855377i \(-0.326674\pi\)
0.747119 + 0.664690i \(0.231436\pi\)
\(60\) −18154.8 16845.2i −0.651048 0.604085i
\(61\) 31219.9 + 21285.3i 1.07425 + 0.732413i 0.965171 0.261620i \(-0.0842566\pi\)
0.109082 + 0.994033i \(0.465209\pi\)
\(62\) −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 −0.772879 0.634553i \(-0.781184\pi\)
0.935979 + 0.352057i \(0.114518\pi\)
\(68\) −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 0.109175 0.994023i \(-0.465179\pi\)
−0.709089 + 0.705119i \(0.750893\pi\)
\(72\) 680.429 + 9079.70i 0.0154686 + 0.206415i
\(73\) 16018.2 + 4940.96i 0.351808 + 0.108519i 0.465622 0.884984i \(-0.345831\pi\)
−0.113814 + 0.993502i \(0.536307\pi\)
\(74\) −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 0.856320 0.516446i \(-0.172745\pi\)
−0.875415 + 0.483372i \(0.839412\pi\)
\(80\) −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 0.978960 0.204053i \(-0.0654115\pi\)
−0.970548 + 0.240909i \(0.922554\pi\)
\(84\) −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 −0.827502 0.561463i \(-0.810239\pi\)
0.498054 + 0.867146i \(0.334048\pi\)
\(90\) −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 0.981814 + 0.189844i \(0.0607981\pi\)
−0.590594 + 0.806969i \(0.701107\pi\)
\(102\) −52455.6 + 35763.6i −0.499220 + 0.340362i
\(103\) 54737.8 + 8250.40i 0.508387 + 0.0766270i 0.398227 0.917287i \(-0.369626\pi\)
0.110160 + 0.993914i \(0.464864\pi\)
\(104\) −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 −0.254381 + 0.967104i \(0.581872\pi\)
−0.983410 + 0.181398i \(0.941938\pi\)
\(108\) 76840.6 11581.9i 0.633915 0.0955474i
\(109\) 55941.9 + 51906.5i 0.450994 + 0.418462i 0.872689 0.488276i \(-0.162374\pi\)
−0.421695 + 0.906738i \(0.638565\pi\)
\(110\) 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 0.963138 0.269006i \(-0.0866953\pi\)
−0.984475 + 0.175524i \(0.943838\pi\)
\(114\) −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 0.269258 0.963068i \(-0.413221\pi\)
0.920837 + 0.389949i \(0.127507\pi\)
\(128\) −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 −0.950527 0.310642i \(-0.899456\pi\)
0.908076 + 0.418806i \(0.137551\pi\)
\(132\) 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 −0.652668 0.757644i \(-0.726350\pi\)
−0.400352 + 0.916361i \(0.631112\pi\)
\(138\) −118760. + 110193.i −0.530849 + 0.492556i
\(139\) 121393. 152223.i 0.532915 0.668255i −0.440380 0.897812i \(-0.645156\pi\)
0.973295 + 0.229557i \(0.0737277\pi\)
\(140\) 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 −0.0705209 0.997510i \(-0.522466\pi\)
0.503650 + 0.863908i \(0.331990\pi\)
\(150\) 6178.27 + 15742.0i 0.0224202 + 0.0571256i
\(151\) 148716. 101393.i 0.530782 0.361881i −0.268079 0.963397i \(-0.586389\pi\)
0.798861 + 0.601516i \(0.205436\pi\)
\(152\) 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 −0.763826 0.645422i \(-0.776681\pi\)
−0.539650 + 0.841890i \(0.681443\pi\)
\(158\) 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 0.694148 + 0.719832i \(0.255781\pi\)
−0.998457 + 0.0555338i \(0.982314\pi\)
\(164\) −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 −0.704609 0.709596i \(-0.748877\pi\)
0.115468 + 0.993311i \(0.463163\pi\)
\(168\) −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 −0.710352 0.703846i \(-0.751464\pi\)
0.597516 0.801857i \(-0.296155\pi\)
\(174\) −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 0.923734 + 0.383036i \(0.125121\pi\)
−0.970505 + 0.241082i \(0.922498\pi\)
\(180\) −30273.1 + 77134.6i −0.0696427 + 0.177447i
\(181\) 34949.9 + 153126.i 0.0792957 + 0.347417i 0.998976 0.0452517i \(-0.0144090\pi\)
−0.919680 + 0.392669i \(0.871552\pi\)
\(182\) −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 −0.277680 0.960674i \(-0.589565\pi\)
−0.548507 + 0.836146i \(0.684804\pi\)
\(192\) −83645.0 + 57028.2i −0.163752 + 0.111644i
\(193\) −4426.69 11279.0i −0.00855432 0.0217960i 0.926533 0.376214i \(-0.122774\pi\)
−0.935087 + 0.354418i \(0.884679\pi\)
\(194\) 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 0.781377 + 0.624060i \(0.214518\pi\)
−0.148321 + 0.988939i \(0.547387\pi\)
\(200\) 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 0.920992 0.389580i \(-0.127380\pi\)
−0.998818 + 0.0486039i \(0.984523\pi\)
\(212\) 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 0.201178 0.979555i \(-0.435523\pi\)
−0.640414 + 0.768030i \(0.721237\pi\)
\(224\) −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 −0.870388 0.492367i \(-0.836132\pi\)
0.861596 + 0.507595i \(0.169465\pi\)
\(228\) −80720.0 + 1.07713e6i −0.102836 + 1.37225i
\(229\) 106955. 272517.i 0.134776 0.343404i −0.847513 0.530774i \(-0.821901\pi\)
0.982289 + 0.187370i \(0.0599965\pi\)
\(230\) 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 0.453825 0.891091i \(-0.350059\pi\)
−0.663692 + 0.748006i \(0.731011\pi\)
\(234\) −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 0.998649 + 0.0519554i \(0.0165454\pi\)
−0.171568 + 0.985172i \(0.554883\pi\)
\(240\) 341125. + 51416.3i 0.382284 + 0.0576200i
\(241\) −388094. + 264598.i −0.430421 + 0.293456i −0.759086 0.650990i \(-0.774354\pi\)
0.328665 + 0.944447i \(0.393401\pi\)
\(242\) 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 0.858961 0.512042i \(-0.171111\pi\)
−0.690340 + 0.723485i \(0.742539\pi\)
\(252\) 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 0.151974 0.988385i \(-0.451437\pi\)
−0.864539 + 0.502566i \(0.832389\pi\)
\(258\) −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 −0.138532 0.990358i \(-0.544238\pi\)
0.926941 0.375206i \(-0.122428\pi\)
\(264\) −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 0.595619 0.803267i \(-0.296907\pi\)
0.0396271 + 0.999215i \(0.487383\pi\)
\(270\) −504283. 155551.i −0.420983 0.129856i
\(271\) −150223. 2.00458e6i −0.124255 1.65806i −0.616314 0.787500i \(-0.711375\pi\)
0.492060 0.870561i \(-0.336244\pi\)
\(272\) 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 −0.999921 0.0125920i \(-0.995992\pi\)
0.990629 + 0.136579i \(0.0436108\pi\)
\(278\) −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 0.299556 + 0.954079i \(0.403161\pi\)
−0.683850 + 0.729623i \(0.739696\pi\)
\(282\) −357317. 243614.i −0.267566 0.182423i
\(283\) −1.01473e6 941531.i −0.753154 0.698825i 0.206986 0.978344i \(-0.433635\pi\)
−0.960140 + 0.279519i \(0.909825\pi\)
\(284\) 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 −0.567363 0.823468i \(-0.692036\pi\)
0.868466 0.495749i \(-0.165106\pi\)
\(308\) −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 −0.999826 0.0186414i \(-0.994066\pi\)
0.991437 + 0.130583i \(0.0416850\pi\)
\(312\) −1.28769e6 + 2.23035e6i −0.748904 + 1.29714i
\(313\) 269681. + 467101.i 0.155593 + 0.269495i 0.933275 0.359163i \(-0.116938\pi\)
−0.777682 + 0.628658i \(0.783605\pi\)
\(314\) 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 0.927975 + 0.372642i \(0.121548\pi\)
−0.862071 + 0.506787i \(0.830833\pi\)
\(318\) −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 0.494655 0.869090i \(-0.335294\pi\)
−0.628295 + 0.777975i \(0.716247\pi\)
\(332\) −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 0.889435 0.457062i \(-0.151098\pi\)
−0.643520 + 0.765429i \(0.722527\pi\)
\(338\) 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 0.283104 0.959089i \(-0.408636\pi\)
0.996220 + 0.0868605i \(0.0276834\pi\)
\(348\) −624449. 94120.6i −0.276407 0.0416617i
\(349\) 851597. + 1.06787e6i 0.374258 + 0.469304i 0.932916 0.360094i \(-0.117255\pi\)
−0.558659 + 0.829398i \(0.688684\pi\)
\(350\) −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 −0.147566 0.989052i \(-0.547144\pi\)
0.150519 + 0.988607i \(0.451906\pi\)
\(354\) 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 −0.605685 0.795704i \(-0.707101\pi\)
0.985215 0.171322i \(-0.0548038\pi\)
\(360\) 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 0.648230 0.761445i \(-0.275510\pi\)
0.106655 + 0.994296i \(0.465986\pi\)
\(368\) 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 0.882497 0.470318i \(-0.155861\pi\)
−0.848556 + 0.529106i \(0.822527\pi\)
\(374\) 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 −0.744886 0.667192i \(-0.767496\pi\)
0.960603 0.277925i \(-0.0896467\pi\)
\(380\) 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 −0.762907 0.646508i \(-0.776229\pi\)
0.587688 + 0.809087i \(0.300038\pi\)
\(384\) −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 0.845319 0.534263i \(-0.179411\pi\)
−0.983053 + 0.183320i \(0.941315\pi\)
\(390\) −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 0.446929 0.894570i \(-0.352518\pi\)
0.163394 + 0.986561i \(0.447756\pi\)
\(398\) −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 −0.933547 0.358456i \(-0.883303\pi\)
0.287690 + 0.957724i \(0.407113\pi\)
\(402\) 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 −0.866123 0.499831i \(-0.833395\pi\)
0.930945 0.365159i \(-0.118986\pi\)
\(410\) 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 −0.163425 0.986556i \(-0.552254\pi\)
−0.873214 + 0.487336i \(0.837969\pi\)
\(420\) 985448. 3.05575e6i 0.272590 0.845267i
\(421\) 1.07197e6 516234.i 0.294766 0.141952i −0.280656 0.959808i \(-0.590552\pi\)
0.575422 + 0.817856i \(0.304838\pi\)
\(422\) 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 −0.0287963 0.999585i \(-0.509167\pi\)
0.267116 + 0.963664i \(0.413929\pi\)
\(432\) −793484. + 736246.i −0.204564 + 0.189808i
\(433\) 233432. 292714.i 0.0598329 0.0750281i −0.751015 0.660286i \(-0.770435\pi\)
0.810847 + 0.585258i \(0.199007\pi\)
\(434\) −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 −0.747889 0.663824i \(-0.768932\pi\)
−0.243989 + 0.969778i \(0.578456\pi\)
\(440\) −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 −0.993095 0.117309i \(-0.962573\pi\)
−0.754452 + 0.656356i \(0.772097\pi\)
\(444\) 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 −0.229512 0.973306i \(-0.573713\pi\)
0.999974 + 0.00717672i \(0.00228444\pi\)
\(450\) 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 0.499899 + 0.866083i \(0.333370\pi\)
−0.955539 + 0.294866i \(0.904725\pi\)
\(458\) −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 0.500139 0.865945i \(-0.333282\pi\)
0.988855 + 0.148883i \(0.0475679\pi\)
\(462\) −2.08928e6 + 789365.i −0.455398 + 0.172057i
\(463\) 6.78318e6 + 3.26661e6i 1.47055 + 0.708181i 0.986026 0.166594i \(-0.0532770\pi\)
0.484528 + 0.874776i \(0.338991\pi\)
\(464\) 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 0.999466 0.0326749i \(-0.0104026\pi\)
−0.993173 + 0.116653i \(0.962784\pi\)
\(468\) −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 0.229223 0.973374i \(-0.426382\pi\)
−0.953522 + 0.301322i \(0.902572\pi\)
\(480\) −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 0.765531 0.643399i \(-0.222476\pi\)
−0.998796 + 0.0490488i \(0.984381\pi\)
\(488\) 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 −0.794939 0.606689i \(-0.792497\pi\)
0.545586 + 0.838055i \(0.316307\pi\)
\(500\) −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 0.715892 + 0.698211i \(0.246020\pi\)
−0.947939 + 0.318453i \(0.896837\pi\)
\(504\) −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 0.994191 + 0.107634i \(0.0343273\pi\)
−0.403882 + 0.914811i \(0.632339\pi\)
\(510\) 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 −0.819479 0.573109i \(-0.805737\pi\)
0.906067 + 0.423135i \(0.139071\pi\)
\(522\) −18191.9 + 242754.i −0.00292215 + 0.0389934i
\(523\) 2.26513e6 5.77145e6i 0.362108 0.922637i −0.627470 0.778641i \(-0.715909\pi\)
0.989578 0.143996i \(-0.0459953\pi\)
\(524\) −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 −0.649246 0.760579i \(-0.724915\pi\)
−0.107983 + 0.994153i \(0.534439\pi\)
\(542\) 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 −0.986979 0.160850i \(-0.948577\pi\)
0.376440 + 0.926441i \(0.377148\pi\)
\(548\) 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 −0.335458 0.942055i \(-0.608891\pi\)
0.983573 0.180512i \(-0.0577755\pi\)
\(558\) −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 −0.116678 0.993170i \(-0.537224\pi\)
−0.655876 + 0.754869i \(0.727701\pi\)
\(564\) −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 −0.981177 0.193111i \(-0.938142\pi\)
0.323349 0.946280i \(-0.395191\pi\)
\(570\) 3.66773e6 6.35270e6i 0.472836 0.818976i
\(571\) −533522. + 7.11935e6i −0.0684797 + 0.913798i 0.852134 + 0.523324i \(0.175308\pi\)
−0.920614 + 0.390474i \(0.872311\pi\)
\(572\) −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 −0.996179 0.0873306i \(-0.972166\pi\)
−0.161531 0.986868i \(-0.551643\pi\)
\(578\) 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 −0.112227 0.993683i \(-0.535798\pi\)
−0.400134 + 0.916456i \(0.631037\pi\)
\(594\) 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 0.612778 0.790255i \(-0.290052\pi\)
−0.742252 + 0.670121i \(0.766242\pi\)
\(600\) −785476. 535528.i −0.0890747 0.0607301i
\(601\) −185932. + 814622.i −0.0209975 + 0.0919962i −0.984341 0.176275i \(-0.943595\pi\)
0.963343 + 0.268271i \(0.0864523\pi\)
\(602\) 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 0.938814 0.344424i \(-0.111926\pi\)
−0.767687 + 0.640825i \(0.778592\pi\)
\(608\) −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 0.786819 0.617184i \(-0.211727\pi\)
0.302428 + 0.953172i \(0.402203\pi\)
\(614\) 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 −0.999803 0.0198577i \(-0.993679\pi\)
−0.607841 + 0.794058i \(0.707964\pi\)
\(618\) 1.33987e6 + 2.32072e6i 0.141121 + 0.244429i
\(619\) 5.03775e6 8.72563e6i 0.528457 0.915314i −0.470992 0.882137i \(-0.656104\pi\)
0.999449 0.0331772i \(-0.0105626\pi\)
\(620\) 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 −0.986033 0.166550i \(-0.946737\pi\)
0.0570383 0.998372i \(-0.481834\pi\)
\(632\) −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 −0.535660 0.844434i \(-0.679937\pi\)
0.590363 + 0.807138i \(0.298985\pi\)
\(642\) −9.57241e6 1.44281e6i −0.916608 0.138156i
\(643\) 3.80567e6 + 4.77215e6i 0.362997 + 0.455184i 0.929471 0.368896i \(-0.120264\pi\)
−0.566474 + 0.824080i \(0.691693\pi\)
\(644\) 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 −0.871883 0.489714i \(-0.837101\pi\)
−0.688802 + 0.724950i \(0.741863\pi\)
\(648\) 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 0.344203 + 0.938895i \(0.388149\pi\)
−0.890930 + 0.454141i \(0.849946\pi\)
\(654\) −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 0.985499 + 0.169680i \(0.0542735\pi\)
0.747110 + 0.664700i \(0.231441\pi\)
\(660\) −658644. 8.78899e6i −0.0588560 0.785379i
\(661\) 3.69217e6 + 1.13888e6i 0.328683 + 0.101385i 0.454705 0.890642i \(-0.349745\pi\)
−0.126022 + 0.992027i \(0.540221\pi\)
\(662\) 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 −0.936678 0.350191i \(-0.886117\pi\)
0.995860 + 0.0908980i \(0.0289737\pi\)
\(674\) −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 −0.750596 0.660761i \(-0.770234\pi\)
0.602821 + 0.797876i \(0.294043\pi\)
\(678\) 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 0.999596 + 0.0284229i \(0.00904851\pi\)
−0.713423 + 0.700733i \(0.752856\pi\)
\(684\) 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 −0.191273 0.981537i \(-0.561262\pi\)
−0.472089 + 0.881551i \(0.656500\pi\)
\(692\) 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 −0.976219 0.216786i \(-0.930443\pi\)
0.785483 0.618883i \(-0.212414\pi\)
\(702\) 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 −0.976905 0.213675i \(-0.931457\pi\)
0.934147 0.356889i \(-0.116162\pi\)
\(710\) −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 −0.318676 0.947864i \(-0.603238\pi\)
0.878317 0.478078i \(-0.158667\pi\)
\(720\) −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 −0.916641 0.399711i \(-0.869110\pi\)
0.593661 + 0.804715i \(0.297682\pi\)
\(728\) 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 −0.736217 0.676746i \(-0.763390\pi\)
−0.227066 + 0.973879i \(0.572913\pi\)
\(734\) −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 −0.906508 0.422188i \(-0.861262\pi\)
0.0618188 + 0.998087i \(0.480310\pi\)
\(740\) 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 −0.131233 0.991352i \(-0.541894\pi\)
0.995698 0.0926537i \(-0.0295350\pi\)
\(744\) −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 −0.602385 0.798206i \(-0.705783\pi\)
0.984497 0.175401i \(-0.0561220\pi\)
\(752\) −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 −0.297370 0.954762i \(-0.596110\pi\)
−0.931870 + 0.362791i \(0.881824\pi\)
\(758\) 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