Properties

Label 49.6.g.a.25.3
Level $49$
Weight $6$
Character 49.25
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
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 25.3
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-7.64989 + 2.35968i) q^{2} +(2.34348 + 5.97110i) q^{3} +(26.5131 - 18.0763i) q^{4} +(-0.467538 - 0.0704700i) q^{5} +(-32.0173 - 40.1484i) q^{6} +(116.464 + 56.9478i) q^{7} +(-0.443581 + 0.556232i) q^{8} +(147.969 - 137.296i) q^{9} +O(q^{10})\) \(q+(-7.64989 + 2.35968i) q^{2} +(2.34348 + 5.97110i) q^{3} +(26.5131 - 18.0763i) q^{4} +(-0.467538 - 0.0704700i) q^{5} +(-32.0173 - 40.1484i) q^{6} +(116.464 + 56.9478i) q^{7} +(-0.443581 + 0.556232i) q^{8} +(147.969 - 137.296i) q^{9} +(3.74290 - 0.564151i) q^{10} +(-107.596 - 99.8344i) q^{11} +(170.068 + 115.951i) q^{12} +(-183.341 + 803.269i) q^{13} +(-1025.32 - 160.826i) q^{14} +(-0.674884 - 2.95686i) q^{15} +(-373.067 + 950.560i) q^{16} +(-114.447 + 1527.19i) q^{17} +(-807.976 + 1399.46i) q^{18} +(206.763 + 358.124i) q^{19} +(-13.6697 + 6.58298i) q^{20} +(-67.1087 + 828.877i) q^{21} +(1058.67 + 509.831i) q^{22} +(2.84174 + 37.9204i) q^{23} +(-4.36084 - 1.34514i) q^{24} +(-2985.95 - 921.044i) q^{25} +(-492.919 - 6577.54i) q^{26} +(2570.93 + 1238.10i) q^{27} +(4117.23 - 595.384i) q^{28} +(4637.96 - 2233.52i) q^{29} +(12.1400 + 21.0272i) q^{30} +(-4722.32 + 8179.30i) q^{31} +(612.609 - 8174.70i) q^{32} +(343.972 - 876.427i) q^{33} +(-2728.18 - 11952.9i) q^{34} +(-50.4384 - 34.8325i) q^{35} +(1441.33 - 6314.87i) q^{36} +(9595.14 + 6541.85i) q^{37} +(-2426.77 - 2251.71i) q^{38} +(-5226.06 + 787.701i) q^{39} +(0.246588 - 0.228801i) q^{40} +(4901.03 - 6145.70i) q^{41} +(-1442.51 - 6499.17i) q^{42} +(4931.44 + 6183.83i) q^{43} +(-4657.34 - 701.980i) q^{44} +(-78.8566 + 53.7635i) q^{45} +(-111.219 - 283.381i) q^{46} +(-7182.38 + 2215.47i) q^{47} -6550.17 q^{48} +(10320.9 + 13264.8i) q^{49} +25015.6 q^{50} +(-9387.24 + 2895.58i) q^{51} +(9659.20 + 24611.2i) q^{52} +(-19010.2 + 12961.0i) q^{53} +(-22588.9 - 3404.72i) q^{54} +(43.2698 + 54.2587i) q^{55} +(-83.3375 + 39.5203i) q^{56} +(-1653.85 + 2073.86i) q^{57} +(-30209.5 + 28030.3i) q^{58} +(-12087.9 + 1821.95i) q^{59} +(-71.3424 - 66.1961i) q^{60} +(-13558.8 - 9244.20i) q^{61} +(16824.7 - 73713.9i) q^{62} +(25051.9 - 7563.51i) q^{63} +(7332.01 + 32123.6i) q^{64} +(142.325 - 362.639i) q^{65} +(-563.264 + 7516.23i) q^{66} +(4850.44 - 8401.22i) q^{67} +(24571.7 + 42559.4i) q^{68} +(-219.767 + 105.834i) q^{69} +(468.042 + 147.446i) q^{70} +(36752.6 + 17699.1i) q^{71} +(10.7319 + 143.207i) q^{72} +(40736.9 + 12565.7i) q^{73} +(-88838.4 - 27403.0i) q^{74} +(-1497.88 - 19987.9i) q^{75} +(11955.5 + 5757.45i) q^{76} +(-6845.74 - 17754.5i) q^{77} +(38120.0 - 18357.6i) q^{78} +(17586.1 + 30460.0i) q^{79} +(241.409 - 418.133i) q^{80} +(2297.69 - 30660.6i) q^{81} +(-22990.5 + 58578.8i) q^{82} +(-15197.4 - 66584.2i) q^{83} +(13203.8 + 23189.1i) q^{84} +(161.130 - 705.956i) q^{85} +(-52316.8 - 35669.0i) q^{86} +(24205.6 + 22459.5i) q^{87} +(103.259 - 15.5637i) q^{88} +(-43286.7 + 40164.2i) q^{89} +(476.379 - 597.361i) q^{90} +(-67097.1 + 83111.3i) q^{91} +(760.804 + 954.018i) q^{92} +(-59906.1 - 9029.39i) q^{93} +(49716.6 - 33896.2i) q^{94} +(-71.4325 - 182.007i) q^{95} +(50247.6 - 15499.3i) q^{96} +86398.0 q^{97} +(-110254. - 77120.1i) q^{98} -29627.7 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.64989 + 2.35968i −1.35232 + 0.417136i −0.884440 0.466655i \(-0.845459\pi\)
−0.467882 + 0.883791i \(0.654983\pi\)
\(3\) 2.34348 + 5.97110i 0.150335 + 0.383046i 0.986125 0.166002i \(-0.0530857\pi\)
−0.835791 + 0.549048i \(0.814990\pi\)
\(4\) 26.5131 18.0763i 0.828533 0.564884i
\(5\) −0.467538 0.0704700i −0.00836357 0.00126061i 0.144859 0.989452i \(-0.453727\pi\)
−0.153223 + 0.988192i \(0.548965\pi\)
\(6\) −32.0173 40.1484i −0.363083 0.455292i
\(7\) 116.464 + 56.9478i 0.898355 + 0.439270i
\(8\) −0.443581 + 0.556232i −0.00245046 + 0.00307278i
\(9\) 147.969 137.296i 0.608928 0.565002i
\(10\) 3.74290 0.564151i 0.0118361 0.00178400i
\(11\) −107.596 99.8344i −0.268111 0.248770i 0.534647 0.845075i \(-0.320444\pi\)
−0.802758 + 0.596305i \(0.796635\pi\)
\(12\) 170.068 + 115.951i 0.340934 + 0.232445i
\(13\) −183.341 + 803.269i −0.300885 + 1.31826i 0.567909 + 0.823091i \(0.307752\pi\)
−0.868794 + 0.495173i \(0.835105\pi\)
\(14\) −1025.32 160.826i −1.39810 0.219299i
\(15\) −0.674884 2.95686i −0.000774464 0.00339315i
\(16\) −373.067 + 950.560i −0.364324 + 0.928281i
\(17\) −114.447 + 1527.19i −0.0960470 + 1.28166i 0.716014 + 0.698085i \(0.245964\pi\)
−0.812061 + 0.583572i \(0.801655\pi\)
\(18\) −807.976 + 1399.46i −0.587784 + 1.01807i
\(19\) 206.763 + 358.124i 0.131398 + 0.227588i 0.924216 0.381871i \(-0.124720\pi\)
−0.792818 + 0.609459i \(0.791387\pi\)
\(20\) −13.6697 + 6.58298i −0.00764160 + 0.00368000i
\(21\) −67.1087 + 828.877i −0.0332071 + 0.410149i
\(22\) 1058.67 + 509.831i 0.466343 + 0.224579i
\(23\) 2.84174 + 37.9204i 0.00112012 + 0.0149470i 0.997736 0.0672545i \(-0.0214239\pi\)
−0.996616 + 0.0822015i \(0.973805\pi\)
\(24\) −4.36084 1.34514i −0.00154541 0.000476695i
\(25\) −2985.95 921.044i −0.955504 0.294734i
\(26\) −492.919 6577.54i −0.143002 1.90823i
\(27\) 2570.93 + 1238.10i 0.678706 + 0.326848i
\(28\) 4117.23 595.384i 0.992454 0.143517i
\(29\) 4637.96 2233.52i 1.02408 0.493169i 0.155035 0.987909i \(-0.450451\pi\)
0.869041 + 0.494740i \(0.164737\pi\)
\(30\) 12.1400 + 21.0272i 0.00246273 + 0.00426557i
\(31\) −4722.32 + 8179.30i −0.882574 + 1.52866i −0.0341049 + 0.999418i \(0.510858\pi\)
−0.848469 + 0.529245i \(0.822475\pi\)
\(32\) 612.609 8174.70i 0.105757 1.41123i
\(33\) 343.972 876.427i 0.0549843 0.140098i
\(34\) −2728.18 11952.9i −0.404739 1.77328i
\(35\) −50.4384 34.8325i −0.00695971 0.00480634i
\(36\) 1441.33 6314.87i 0.185356 0.812097i
\(37\) 9595.14 + 6541.85i 1.15225 + 0.785591i 0.979909 0.199446i \(-0.0639143\pi\)
0.172342 + 0.985037i \(0.444867\pi\)
\(38\) −2426.77 2251.71i −0.272627 0.252961i
\(39\) −5226.06 + 787.701i −0.550190 + 0.0829278i
\(40\) 0.246588 0.228801i 2.43682e−5 2.26103e-5i
\(41\) 4901.03 6145.70i 0.455332 0.570968i −0.500180 0.865922i \(-0.666733\pi\)
0.955512 + 0.294954i \(0.0953042\pi\)
\(42\) −1442.51 6499.17i −0.126181 0.568506i
\(43\) 4931.44 + 6183.83i 0.406727 + 0.510019i 0.942438 0.334382i \(-0.108528\pi\)
−0.535711 + 0.844402i \(0.679956\pi\)
\(44\) −4657.34 701.980i −0.362665 0.0546630i
\(45\) −78.8566 + 53.7635i −0.00580506 + 0.00395782i
\(46\) −111.219 283.381i −0.00774969 0.0197459i
\(47\) −7182.38 + 2215.47i −0.474268 + 0.146292i −0.522669 0.852536i \(-0.675064\pi\)
0.0484012 + 0.998828i \(0.484587\pi\)
\(48\) −6550.17 −0.410345
\(49\) 10320.9 + 13264.8i 0.614083 + 0.789241i
\(50\) 25015.6 1.41509
\(51\) −9387.24 + 2895.58i −0.505373 + 0.155887i
\(52\) 9659.20 + 24611.2i 0.495374 + 1.26219i
\(53\) −19010.2 + 12961.0i −0.929603 + 0.633793i −0.930534 0.366207i \(-0.880656\pi\)
0.000930142 1.00000i \(0.499704\pi\)
\(54\) −22588.9 3404.72i −1.05417 0.158890i
\(55\) 43.2698 + 54.2587i 0.00192876 + 0.00241859i
\(56\) −83.3375 + 39.5203i −0.00355116 + 0.00168403i
\(57\) −1653.85 + 2073.86i −0.0674230 + 0.0845458i
\(58\) −30209.5 + 28030.3i −1.17916 + 1.09410i
\(59\) −12087.9 + 1821.95i −0.452084 + 0.0681407i −0.371138 0.928578i \(-0.621032\pi\)
−0.0809462 + 0.996718i \(0.525794\pi\)
\(60\) −71.3424 66.1961i −0.00255841 0.00237385i
\(61\) −13558.8 9244.20i −0.466547 0.318086i 0.307129 0.951668i \(-0.400632\pi\)
−0.773676 + 0.633582i \(0.781584\pi\)
\(62\) 16824.7 73713.9i 0.555864 2.43540i
\(63\) 25051.9 7563.51i 0.795222 0.240089i
\(64\) 7332.01 + 32123.6i 0.223755 + 0.980335i
\(65\) 142.325 362.639i 0.00417829 0.0106461i
\(66\) −563.264 + 7516.23i −0.0159167 + 0.212393i
\(67\) 4850.44 8401.22i 0.132006 0.228642i −0.792444 0.609945i \(-0.791191\pi\)
0.924450 + 0.381304i \(0.124525\pi\)
\(68\) 24571.7 + 42559.4i 0.644410 + 1.11615i
\(69\) −219.767 + 105.834i −0.00555699 + 0.00267611i
\(70\) 468.042 + 147.446i 0.0114167 + 0.00359657i
\(71\) 36752.6 + 17699.1i 0.865250 + 0.416683i 0.813216 0.581963i \(-0.197715\pi\)
0.0520349 + 0.998645i \(0.483429\pi\)
\(72\) 10.7319 + 143.207i 0.000243975 + 0.00325562i
\(73\) 40736.9 + 12565.7i 0.894708 + 0.275981i 0.707814 0.706399i \(-0.249682\pi\)
0.186894 + 0.982380i \(0.440158\pi\)
\(74\) −88838.4 27403.0i −1.88591 0.581727i
\(75\) −1497.88 19987.9i −0.0307486 0.410311i
\(76\) 11955.5 + 5757.45i 0.237428 + 0.114339i
\(77\) −6845.74 17754.5i −0.131581 0.341257i
\(78\) 38120.0 18357.6i 0.709442 0.341649i
\(79\) 17586.1 + 30460.0i 0.317031 + 0.549113i 0.979867 0.199651i \(-0.0639808\pi\)
−0.662836 + 0.748764i \(0.730648\pi\)
\(80\) 241.409 418.133i 0.00421724 0.00730448i
\(81\) 2297.69 30660.6i 0.0389117 0.519240i
\(82\) −22990.5 + 58578.8i −0.377584 + 0.962068i
\(83\) −15197.4 66584.2i −0.242145 1.06090i −0.939061 0.343752i \(-0.888302\pi\)
0.696916 0.717153i \(-0.254555\pi\)
\(84\) 13203.8 + 23189.1i 0.204174 + 0.358580i
\(85\) 161.130 705.956i 0.00241896 0.0105982i
\(86\) −52316.8 35669.0i −0.762773 0.520050i
\(87\) 24205.6 + 22459.5i 0.342861 + 0.318128i
\(88\) 103.259 15.5637i 0.00142141 0.000214243i
\(89\) −43286.7 + 40164.2i −0.579268 + 0.537482i −0.914464 0.404666i \(-0.867388\pi\)
0.335197 + 0.942148i \(0.391197\pi\)
\(90\) 476.379 597.361i 0.00619936 0.00777375i
\(91\) −67097.1 + 83111.3i −0.849376 + 1.05210i
\(92\) 760.804 + 954.018i 0.00937137 + 0.0117513i
\(93\) −59906.1 9029.39i −0.718230 0.108256i
\(94\) 49716.6 33896.2i 0.580339 0.395668i
\(95\) −71.4325 182.007i −0.000812057 0.00206909i
\(96\) 50247.6 15499.3i 0.556464 0.171647i
\(97\) 86398.0 0.932340 0.466170 0.884695i \(-0.345633\pi\)
0.466170 + 0.884695i \(0.345633\pi\)
\(98\) −110254. 77120.1i −1.15966 0.811152i
\(99\) −29627.7 −0.303816
\(100\) −95815.8 + 29555.3i −0.958158 + 0.295553i
\(101\) 2945.29 + 7504.48i 0.0287293 + 0.0732010i 0.944519 0.328458i \(-0.106529\pi\)
−0.915789 + 0.401659i \(0.868434\pi\)
\(102\) 64978.7 44301.7i 0.618401 0.421619i
\(103\) 131786. + 19863.5i 1.22399 + 0.184486i 0.729060 0.684450i \(-0.239957\pi\)
0.494925 + 0.868936i \(0.335196\pi\)
\(104\) −365.478 458.294i −0.00331343 0.00415491i
\(105\) 89.7868 382.802i 0.000794766 0.00338845i
\(106\) 114842. 144008.i 0.992745 1.24486i
\(107\) 112880. 104737.i 0.953138 0.884383i −0.0402501 0.999190i \(-0.512815\pi\)
0.993388 + 0.114807i \(0.0366250\pi\)
\(108\) 90543.6 13647.2i 0.746962 0.112586i
\(109\) −118276. 109744.i −0.953523 0.884740i 0.0399046 0.999203i \(-0.487295\pi\)
−0.993427 + 0.114464i \(0.963485\pi\)
\(110\) −459.042 312.970i −0.00361719 0.00246616i
\(111\) −16576.0 + 72624.3i −0.127695 + 0.559467i
\(112\) −97581.4 + 89461.0i −0.735058 + 0.673890i
\(113\) −50842.9 222757.i −0.374571 1.64110i −0.713764 0.700387i \(-0.753011\pi\)
0.339192 0.940717i \(-0.389846\pi\)
\(114\) 7758.11 19767.3i 0.0559105 0.142458i
\(115\) 1.34363 17.9295i 9.47403e−6 0.000126422i
\(116\) 82592.7 143055.i 0.569897 0.987091i
\(117\) 83156.4 + 144031.i 0.561605 + 0.972729i
\(118\) 88171.5 42461.2i 0.582939 0.280729i
\(119\) −100299. + 171346.i −0.649278 + 1.10919i
\(120\) 1.94407 + 0.936214i 1.23242e−5 + 5.93502e-6i
\(121\) −10425.4 139117.i −0.0647334 0.863808i
\(122\) 125536. + 38722.8i 0.763607 + 0.235541i
\(123\) 48182.1 + 14862.2i 0.287159 + 0.0885769i
\(124\) 22648.3 + 302220.i 0.132276 + 1.76510i
\(125\) 2662.37 + 1282.13i 0.0152403 + 0.00733935i
\(126\) −173796. + 116974.i −0.975247 + 0.656393i
\(127\) −170368. + 82044.9i −0.937300 + 0.451380i −0.839216 0.543798i \(-0.816986\pi\)
−0.0980838 + 0.995178i \(0.531271\pi\)
\(128\) −728.520 1261.83i −0.00393022 0.00680733i
\(129\) −25367.5 + 43937.9i −0.134216 + 0.232469i
\(130\) −233.061 + 3109.99i −0.00120952 + 0.0161399i
\(131\) 5346.16 13621.8i 0.0272185 0.0693515i −0.916618 0.399763i \(-0.869092\pi\)
0.943837 + 0.330412i \(0.107188\pi\)
\(132\) −6722.80 29454.5i −0.0335827 0.147135i
\(133\) 3686.14 + 53483.3i 0.0180693 + 0.262174i
\(134\) −17281.2 + 75713.9i −0.0831403 + 0.364262i
\(135\) −1114.76 760.031i −0.00526438 0.00358919i
\(136\) −798.708 741.093i −0.00370289 0.00343578i
\(137\) 74127.0 11172.8i 0.337423 0.0508584i 0.0218546 0.999761i \(-0.493043\pi\)
0.315568 + 0.948903i \(0.397805\pi\)
\(138\) 1431.46 1328.20i 0.00639854 0.00593698i
\(139\) −107355. + 134619.i −0.471286 + 0.590974i −0.959486 0.281758i \(-0.909083\pi\)
0.488199 + 0.872732i \(0.337654\pi\)
\(140\) −1966.92 11.7769i −0.00848138 5.07822e-5i
\(141\) −30060.6 37694.8i −0.127336 0.159674i
\(142\) −322917. 48671.9i −1.34391 0.202562i
\(143\) 99920.6 68124.7i 0.408616 0.278589i
\(144\) 75305.1 + 191874.i 0.302634 + 0.771100i
\(145\) −2325.82 + 717.420i −0.00918662 + 0.00283370i
\(146\) −341284. −1.32505
\(147\) −55018.5 + 92712.9i −0.209998 + 0.353873i
\(148\) 372649. 1.39845
\(149\) −372794. + 114992.i −1.37563 + 0.424327i −0.892432 0.451181i \(-0.851003\pi\)
−0.483203 + 0.875509i \(0.660527\pi\)
\(150\) 58623.6 + 149370.i 0.212738 + 0.542047i
\(151\) 68443.3 46663.9i 0.244280 0.166548i −0.434991 0.900435i \(-0.643248\pi\)
0.679271 + 0.733887i \(0.262296\pi\)
\(152\) −290.916 43.8485i −0.00102131 0.000153938i
\(153\) 192742. + 241691.i 0.665654 + 0.834704i
\(154\) 94264.0 + 119666.i 0.320291 + 0.406602i
\(155\) 2784.26 3491.35i 0.00930851 0.0116725i
\(156\) −124320. + 115352.i −0.409006 + 0.379502i
\(157\) 37782.2 5694.75i 0.122331 0.0184385i −0.0875912 0.996157i \(-0.527917\pi\)
0.209923 + 0.977718i \(0.432679\pi\)
\(158\) −206407. 191518.i −0.657782 0.610333i
\(159\) −121941. 83138.2i −0.382524 0.260800i
\(160\) −862.489 + 3778.81i −0.00266351 + 0.0116696i
\(161\) −1828.52 + 4578.21i −0.00555950 + 0.0139197i
\(162\) 54772.0 + 239972.i 0.163973 + 0.718411i
\(163\) 200110. 509873.i 0.589930 1.50312i −0.254295 0.967127i \(-0.581843\pi\)
0.844225 0.535990i \(-0.180061\pi\)
\(164\) 18849.9 251534.i 0.0547266 0.730276i
\(165\) −222.582 + 385.523i −0.000636473 + 0.00110240i
\(166\) 273376. + 473501.i 0.769999 + 1.33368i
\(167\) 421652. 203057.i 1.16994 0.563412i 0.254973 0.966948i \(-0.417933\pi\)
0.914964 + 0.403536i \(0.132219\pi\)
\(168\) −431.280 405.002i −0.00117892 0.00110709i
\(169\) −277103. 133446.i −0.746320 0.359409i
\(170\) 433.204 + 5780.70i 0.00114966 + 0.0153412i
\(171\) 79763.4 + 24603.7i 0.208600 + 0.0643444i
\(172\) 242529. + 74810.1i 0.625089 + 0.192814i
\(173\) −37541.4 500956.i −0.0953665 1.27258i −0.815506 0.578748i \(-0.803541\pi\)
0.720140 0.693829i \(-0.244078\pi\)
\(174\) −238167. 114695.i −0.596361 0.287192i
\(175\) −295305. 277312.i −0.728914 0.684501i
\(176\) 135039. 65031.4i 0.328608 0.158249i
\(177\) −39206.8 67908.1i −0.0940649 0.162925i
\(178\) 236364. 409394.i 0.559153 0.968482i
\(179\) −38558.3 + 514525.i −0.0899467 + 1.20026i 0.751433 + 0.659810i \(0.229363\pi\)
−0.841379 + 0.540445i \(0.818256\pi\)
\(180\) −1118.88 + 2850.87i −0.00257397 + 0.00655837i
\(181\) −144290. 632178.i −0.327372 1.43431i −0.824120 0.566415i \(-0.808330\pi\)
0.496749 0.867894i \(-0.334527\pi\)
\(182\) 317169. 794120.i 0.709762 1.77708i
\(183\) 23423.3 102624.i 0.0517036 0.226528i
\(184\) −22.3531 15.2401i −4.86736e−5 3.31851e-5i
\(185\) −4025.09 3734.73i −0.00864661 0.00802288i
\(186\) 479581. 72285.3i 1.01644 0.153203i
\(187\) 164781. 152894.i 0.344590 0.319732i
\(188\) −150379. + 188570.i −0.310308 + 0.389114i
\(189\) 228915. + 290603.i 0.466144 + 0.591760i
\(190\) 975.928 + 1223.78i 0.00196125 + 0.00245934i
\(191\) 558320. + 84153.2i 1.10739 + 0.166912i 0.677180 0.735818i \(-0.263202\pi\)
0.430208 + 0.902730i \(0.358440\pi\)
\(192\) −174631. + 119061.i −0.341876 + 0.233087i
\(193\) −247291. 630088.i −0.477877 1.21761i −0.943128 0.332431i \(-0.892131\pi\)
0.465251 0.885179i \(-0.345964\pi\)
\(194\) −660935. + 203872.i −1.26082 + 0.388913i
\(195\) 2498.89 0.00470609
\(196\) 513417. + 165126.i 0.954619 + 0.307027i
\(197\) −249629. −0.458279 −0.229140 0.973394i \(-0.573591\pi\)
−0.229140 + 0.973394i \(0.573591\pi\)
\(198\) 226649. 69911.9i 0.410857 0.126733i
\(199\) 51703.9 + 131739.i 0.0925531 + 0.235821i 0.969652 0.244488i \(-0.0786197\pi\)
−0.877099 + 0.480309i \(0.840525\pi\)
\(200\) 1836.82 1252.33i 0.00324708 0.00221382i
\(201\) 61531.5 + 9274.38i 0.107425 + 0.0161918i
\(202\) −40239.3 50458.5i −0.0693860 0.0870073i
\(203\) 667351. + 3995.77i 1.13662 + 0.00680550i
\(204\) −196543. + 246457.i −0.330661 + 0.414635i
\(205\) −2724.51 + 2527.97i −0.00452796 + 0.00420134i
\(206\) −1.05502e6 + 159019.i −1.73218 + 0.261084i
\(207\) 5626.80 + 5220.90i 0.00912715 + 0.00846876i
\(208\) −695157. 473950.i −1.11410 0.759581i
\(209\) 13506.2 59174.7i 0.0213879 0.0937066i
\(210\) 216.431 + 3140.26i 0.000338665 + 0.00491380i
\(211\) 3653.41 + 16006.6i 0.00564927 + 0.0247511i 0.977674 0.210127i \(-0.0673879\pi\)
−0.972025 + 0.234879i \(0.924531\pi\)
\(212\) −269733. + 687269.i −0.412188 + 1.05024i
\(213\) −19554.1 + 260931.i −0.0295317 + 0.394073i
\(214\) −616370. + 1.06758e6i −0.920041 + 1.59356i
\(215\) −1869.86 3238.70i −0.00275876 0.00477831i
\(216\) −1829.09 + 880.841i −0.00266747 + 0.00128459i
\(217\) −1.01578e6 + 683671.i −1.46436 + 0.985593i
\(218\) 1.16376e6 + 560438.i 1.65853 + 0.798704i
\(219\) 20435.4 + 272692.i 0.0287921 + 0.384204i
\(220\) 2128.01 + 656.405i 0.00296427 + 0.000914356i
\(221\) −1.20576e6 371929.i −1.66066 0.512247i
\(222\) −44565.2 594682.i −0.0606895 0.809845i
\(223\) 886855. + 427087.i 1.19424 + 0.575114i 0.922028 0.387124i \(-0.126531\pi\)
0.272209 + 0.962238i \(0.412246\pi\)
\(224\) 536878. 917174.i 0.714917 1.22133i
\(225\) −568285. + 273672.i −0.748359 + 0.360391i
\(226\) 914578. + 1.58410e6i 1.19110 + 2.06305i
\(227\) −739820. + 1.28141e6i −0.952931 + 1.65053i −0.213898 + 0.976856i \(0.568616\pi\)
−0.739033 + 0.673669i \(0.764717\pi\)
\(228\) −6360.86 + 84879.8i −0.00810362 + 0.108135i
\(229\) 395262. 1.00711e6i 0.498077 1.26908i −0.432053 0.901848i \(-0.642211\pi\)
0.930130 0.367230i \(-0.119694\pi\)
\(230\) 32.0292 + 140.329i 3.99233e−5 + 0.000174915i
\(231\) 89971.1 82484.0i 0.110936 0.101704i
\(232\) −814.951 + 3570.53i −0.000994057 + 0.00435525i
\(233\) 991254. + 675826.i 1.19618 + 0.815539i 0.986744 0.162284i \(-0.0518860\pi\)
0.209433 + 0.977823i \(0.432838\pi\)
\(234\) −976004. 905600.i −1.16523 1.08118i
\(235\) 3514.16 529.674i 0.00415099 0.000625661i
\(236\) −287552. + 266809.i −0.336075 + 0.311832i
\(237\) −140667. + 176391.i −0.162675 + 0.203988i
\(238\) 362958. 1.54745e6i 0.415349 1.77082i
\(239\) −72630.7 91076.0i −0.0822480 0.103136i 0.739005 0.673700i \(-0.235296\pi\)
−0.821253 + 0.570564i \(0.806725\pi\)
\(240\) 3062.45 + 461.590i 0.00343195 + 0.000517284i
\(241\) 119294. 81333.1i 0.132305 0.0902038i −0.495359 0.868688i \(-0.664964\pi\)
0.627664 + 0.778484i \(0.284011\pi\)
\(242\) 408025. + 1.03963e6i 0.447866 + 1.14114i
\(243\) 851062. 262518.i 0.924582 0.285196i
\(244\) −526585. −0.566232
\(245\) −3890.64 6929.10i −0.00414101 0.00737499i
\(246\) −403658. −0.425280
\(247\) −325578. + 100427.i −0.339557 + 0.104739i
\(248\) −2454.86 6254.88i −0.00253453 0.00645788i
\(249\) 361966. 246785.i 0.369973 0.252243i
\(250\) −23392.3 3525.82i −0.0236713 0.00356788i
\(251\) 624055. + 782541.i 0.625229 + 0.784012i 0.989070 0.147449i \(-0.0471063\pi\)
−0.363841 + 0.931461i \(0.618535\pi\)
\(252\) 527481. 653377.i 0.523246 0.648130i
\(253\) 3480.00 4363.79i 0.00341805 0.00428610i
\(254\) 1.10970e6 1.02965e6i 1.07924 1.00139i
\(255\) 4592.94 692.275i 0.00442324 0.000666696i
\(256\) −764373. 709235.i −0.728963 0.676379i
\(257\) −1.30385e6 888952.i −1.23139 0.839548i −0.240037 0.970764i \(-0.577159\pi\)
−0.991354 + 0.131216i \(0.958112\pi\)
\(258\) 90379.6 395979.i 0.0845320 0.370359i
\(259\) 744947. + 1.30831e6i 0.690043 + 1.21189i
\(260\) −2781.69 12187.4i −0.00255197 0.0111809i
\(261\) 379624. 967265.i 0.344947 0.878910i
\(262\) −8754.47 + 116820.i −0.00787910 + 0.105139i
\(263\) −95789.4 + 165912.i −0.0853942 + 0.147907i −0.905559 0.424220i \(-0.860548\pi\)
0.820165 + 0.572127i \(0.193882\pi\)
\(264\) 334.918 + 580.094i 0.000295752 + 0.000512258i
\(265\) 9801.36 4720.09i 0.00857377 0.00412891i
\(266\) −154402. 400443.i −0.133798 0.347006i
\(267\) −341266. 164345.i −0.292965 0.141084i
\(268\) −23262.8 310420.i −0.0197845 0.264005i
\(269\) 418337. + 129040.i 0.352489 + 0.108729i 0.465943 0.884815i \(-0.345715\pi\)
−0.113454 + 0.993543i \(0.536191\pi\)
\(270\) 10321.2 + 3183.68i 0.00861632 + 0.00265778i
\(271\) 44995.5 + 600423.i 0.0372174 + 0.496631i 0.984401 + 0.175940i \(0.0562963\pi\)
−0.947184 + 0.320692i \(0.896085\pi\)
\(272\) −1.40899e6 678535.i −1.15475 0.556097i
\(273\) −653507. 205873.i −0.530693 0.167184i
\(274\) −540699. + 260387.i −0.435090 + 0.209528i
\(275\) 229324. + 397201.i 0.182860 + 0.316723i
\(276\) −3913.61 + 6778.57i −0.00309246 + 0.00535630i
\(277\) −147670. + 1.97053e6i −0.115636 + 1.54306i 0.573971 + 0.818876i \(0.305402\pi\)
−0.689607 + 0.724184i \(0.742217\pi\)
\(278\) 503596. 1.28314e6i 0.390814 0.995778i
\(279\) 424222. + 1.85864e6i 0.326275 + 1.42950i
\(280\) 41.7485 12.6044i 3.18233e−5 9.60790e-6i
\(281\) −127197. + 557288.i −0.0960975 + 0.421030i −0.999977 0.00675621i \(-0.997849\pi\)
0.903880 + 0.427787i \(0.140707\pi\)
\(282\) 318908. + 217428.i 0.238804 + 0.162814i
\(283\) −813654. 754961.i −0.603912 0.560349i 0.317832 0.948147i \(-0.397045\pi\)
−0.921744 + 0.387798i \(0.873236\pi\)
\(284\) 1.29436e6 195093.i 0.952266 0.143531i
\(285\) 919.381 853.061i 0.000670476 0.000622111i
\(286\) −603629. + 756927.i −0.436370 + 0.547191i
\(287\) 920780. 436652.i 0.659859 0.312918i
\(288\) −1.03170e6 1.29371e6i −0.732948 0.919088i
\(289\) −915226. 137948.i −0.644590 0.0971563i
\(290\) 16099.4 10976.4i 0.0112412 0.00766414i
\(291\) 202472. + 515891.i 0.140163 + 0.357130i
\(292\) 1.30720e6 403218.i 0.897193 0.276747i
\(293\) −27032.4 −0.0183956 −0.00919782 0.999958i \(-0.502928\pi\)
−0.00919782 + 0.999958i \(0.502928\pi\)
\(294\) 202113. 839069.i 0.136372 0.566147i
\(295\) 5779.92 0.00386694
\(296\) −7895.01 + 2435.29i −0.00523749 + 0.00161555i
\(297\) −153017. 389882.i −0.100658 0.256473i
\(298\) 2.58049e6 1.75935e6i 1.68330 1.14765i
\(299\) −30981.3 4669.68i −0.0200411 0.00302071i
\(300\) −401020. 502864.i −0.257255 0.322587i
\(301\) 222182. + 1.00103e6i 0.141349 + 0.636841i
\(302\) −413472. + 518478.i −0.260873 + 0.327124i
\(303\) −37907.7 + 35173.2i −0.0237204 + 0.0220093i
\(304\) −417555. + 62936.2i −0.259137 + 0.0390586i
\(305\) 5687.79 + 5277.50i 0.00350102 + 0.00324847i
\(306\) −2.04477e6 1.39410e6i −1.24836 0.851120i
\(307\) −174266. + 763508.i −0.105528 + 0.462347i 0.894360 + 0.447348i \(0.147632\pi\)
−0.999888 + 0.0149985i \(0.995226\pi\)
\(308\) −502437. 346981.i −0.301790 0.208415i
\(309\) 190231. + 833457.i 0.113341 + 0.496578i
\(310\) −13060.8 + 33278.4i −0.00771908 + 0.0196679i
\(311\) 174289. 2.32573e6i 0.102181 1.36351i −0.676663 0.736293i \(-0.736575\pi\)
0.778844 0.627218i \(-0.215806\pi\)
\(312\) 1880.03 3256.31i 0.00109340 0.00189382i
\(313\) 1.40665e6 + 2.43640e6i 0.811571 + 1.40568i 0.911764 + 0.410714i \(0.134721\pi\)
−0.100193 + 0.994968i \(0.531946\pi\)
\(314\) −275592. + 132718.i −0.157740 + 0.0759636i
\(315\) −12245.7 + 1770.82i −0.00695356 + 0.00100554i
\(316\) 1.01686e6 + 489696.i 0.572856 + 0.275873i
\(317\) −120690. 1.61050e6i −0.0674565 0.900144i −0.923588 0.383386i \(-0.874758\pi\)
0.856132 0.516758i \(-0.172861\pi\)
\(318\) 1.12902e6 + 348256.i 0.626084 + 0.193121i
\(319\) −722008. 222710.i −0.397251 0.122536i
\(320\) −1164.24 15535.7i −0.000635576 0.00848117i
\(321\) 889926. + 428566.i 0.482049 + 0.232143i
\(322\) 3184.90 39337.5i 0.00171181 0.0211430i
\(323\) −570588. + 274781.i −0.304310 + 0.146548i
\(324\) −493311. 854440.i −0.261071 0.452188i
\(325\) 1.28729e6 2.22966e6i 0.676035 1.17093i
\(326\) −327686. + 4.37266e6i −0.170771 + 2.27878i
\(327\) 378116. 963423.i 0.195549 0.498251i
\(328\) 1244.43 + 5452.22i 0.000638686 + 0.00279827i
\(329\) −962657. 150997.i −0.490323 0.0769095i
\(330\) 793.016 3474.43i 0.000400864 0.00175630i
\(331\) −2.63217e6 1.79458e6i −1.32052 0.900312i −0.321600 0.946876i \(-0.604221\pi\)
−0.998915 + 0.0465632i \(0.985173\pi\)
\(332\) −1.60653e6 1.49064e6i −0.799913 0.742211i
\(333\) 2.31795e6 349375.i 1.14550 0.172656i
\(334\) −2.74644e6 + 2.54832e6i −1.34711 + 1.24994i
\(335\) −2859.80 + 3586.08i −0.00139227 + 0.00174585i
\(336\) −762861. 373018.i −0.368636 0.180253i
\(337\) −1.58866e6 1.99211e6i −0.762000 0.955518i 0.237876 0.971296i \(-0.423549\pi\)
−0.999876 + 0.0157779i \(0.994978\pi\)
\(338\) 2.43470e6 + 366972.i 1.15919 + 0.174719i
\(339\) 1.21096e6 825617.i 0.572308 0.390193i
\(340\) −8489.03 21629.7i −0.00398255 0.0101474i
\(341\) 1.32468e6 408609.i 0.616914 0.190293i
\(342\) −668238. −0.308934
\(343\) 446616. + 2.13263e6i 0.204974 + 0.978767i
\(344\) −5627.14 −0.00256384
\(345\) 110.208 33.9945i 4.98498e−5 1.53766e-5i
\(346\) 1.46928e6 + 3.74367e6i 0.659804 + 1.68115i
\(347\) 3.16014e6 2.15455e6i 1.40891 0.960576i 0.410085 0.912047i \(-0.365499\pi\)
0.998822 0.0485292i \(-0.0154534\pi\)
\(348\) 1.04775e6 + 157923.i 0.463777 + 0.0699031i
\(349\) −1.34970e6 1.69247e6i −0.593163 0.743803i 0.391132 0.920335i \(-0.372084\pi\)
−0.984295 + 0.176532i \(0.943512\pi\)
\(350\) 2.91342e6 + 1.42458e6i 1.27126 + 0.621609i
\(351\) −1.46588e6 + 1.83816e6i −0.635084 + 0.796370i
\(352\) −882031. + 818405.i −0.379426 + 0.352056i
\(353\) −3.34545e6 + 504246.i −1.42895 + 0.215380i −0.817513 0.575910i \(-0.804648\pi\)
−0.611441 + 0.791290i \(0.709410\pi\)
\(354\) 460169. + 426974.i 0.195168 + 0.181090i
\(355\) −15936.0 10865.0i −0.00671131 0.00457569i
\(356\) −421643. + 1.84734e6i −0.176327 + 0.772541i
\(357\) −1.25818e6 197351.i −0.522481 0.0819537i
\(358\) −919146. 4.02704e6i −0.379033 1.66065i
\(359\) −387080. + 986264.i −0.158513 + 0.403884i −0.987962 0.154698i \(-0.950559\pi\)
0.829449 + 0.558583i \(0.188655\pi\)
\(360\) 5.07424 67.7110i 2.06355e−6 2.75361e-5i
\(361\) 1.15255e6 1.99627e6i 0.465469 0.806216i
\(362\) 2.59554e6 + 4.49561e6i 1.04101 + 1.80309i
\(363\) 806251. 388270.i 0.321147 0.154656i
\(364\) −276604. + 3.41640e6i −0.109422 + 1.35150i
\(365\) −18160.6 8745.66i −0.00713505 0.00343606i
\(366\) 62974.5 + 840336.i 0.0245732 + 0.327907i
\(367\) 3.28568e6 + 1.01350e6i 1.27338 + 0.392787i 0.856488 0.516167i \(-0.172642\pi\)
0.416897 + 0.908954i \(0.363118\pi\)
\(368\) −37105.8 11445.6i −0.0142831 0.00440575i
\(369\) −118574. 1.58227e6i −0.0453341 0.604942i
\(370\) 39604.2 + 19072.4i 0.0150396 + 0.00724270i
\(371\) −2.95211e6 + 426898.i −1.11352 + 0.161024i
\(372\) −1.75151e6 + 843484.i −0.656230 + 0.316024i
\(373\) −2.14614e6 3.71722e6i −0.798704 1.38340i −0.920460 0.390836i \(-0.872186\pi\)
0.121757 0.992560i \(-0.461147\pi\)
\(374\) −899773. + 1.55845e6i −0.332624 + 0.576122i
\(375\) −1416.51 + 18902.0i −0.000520164 + 0.00694111i
\(376\) 1953.65 4977.81i 0.000712650 0.00181580i
\(377\) 943792. + 4.13502e6i 0.341998 + 1.49839i
\(378\) −2.43691e6 1.68292e6i −0.877222 0.605805i
\(379\) 207558. 909372.i 0.0742236 0.325195i −0.924162 0.382002i \(-0.875235\pi\)
0.998385 + 0.0568069i \(0.0180920\pi\)
\(380\) −5183.91 3534.33i −0.00184161 0.00125559i
\(381\) −889153. 825013.i −0.313808 0.291171i
\(382\) −4.46966e6 + 673693.i −1.56717 + 0.236213i
\(383\) −2.11546e6 + 1.96286e6i −0.736900 + 0.683743i −0.956462 0.291855i \(-0.905727\pi\)
0.219563 + 0.975598i \(0.429537\pi\)
\(384\) 5827.26 7307.15i 0.00201668 0.00252883i
\(385\) 1949.48 + 8783.32i 0.000670297 + 0.00302000i
\(386\) 3.37856e6 + 4.23658e6i 1.15415 + 1.44726i
\(387\) 1.57872e6 + 237953.i 0.535830 + 0.0807633i
\(388\) 2.29068e6 1.56176e6i 0.772475 0.526665i
\(389\) 235252. + 599412.i 0.0788241 + 0.200841i 0.964853 0.262789i \(-0.0846422\pi\)
−0.886029 + 0.463629i \(0.846547\pi\)
\(390\) −19116.2 + 5896.57i −0.00636415 + 0.00196308i
\(391\) −58237.1 −0.0192645
\(392\) −11956.4 143.184i −0.00392995 4.70628e-5i
\(393\) 93865.7 0.0306567
\(394\) 1.90964e6 589045.i 0.619741 0.191165i
\(395\) −6075.64 15480.5i −0.00195929 0.00499220i
\(396\) −785522. + 535560.i −0.251722 + 0.171621i
\(397\) 2.61566e6 + 394247.i 0.832924 + 0.125543i 0.551641 0.834082i \(-0.314002\pi\)
0.281283 + 0.959625i \(0.409240\pi\)
\(398\) −706392. 885788.i −0.223531 0.280299i
\(399\) −310716. + 147348.i −0.0977083 + 0.0463352i
\(400\) 1.98947e6 2.49471e6i 0.621709 0.779598i
\(401\) −1.85348e6 + 1.71978e6i −0.575609 + 0.534087i −0.913362 0.407148i \(-0.866523\pi\)
0.337754 + 0.941235i \(0.390333\pi\)
\(402\) −492593. + 74246.5i −0.152028 + 0.0229145i
\(403\) −5.70438e6 5.29289e6i −1.74963 1.62342i
\(404\) 213742. + 145727.i 0.0651533 + 0.0444207i
\(405\) −3234.91 + 14173.1i −0.000979997 + 0.00429365i
\(406\) −5.11459e6 + 1.54417e6i −1.53991 + 0.464921i
\(407\) −379295. 1.66180e6i −0.113499 0.497271i
\(408\) 2553.38 6505.91i 0.000759391 0.00193490i
\(409\) 177784. 2.37237e6i 0.0525515 0.701251i −0.907254 0.420584i \(-0.861825\pi\)
0.959805 0.280667i \(-0.0905557\pi\)
\(410\) 14877.0 25767.7i 0.00437074 0.00757034i
\(411\) 240430. + 416436.i 0.0702075 + 0.121603i
\(412\) 3.85311e6 1.85556e6i 1.11833 0.538557i
\(413\) −1.51156e6 476185.i −0.436064 0.137373i
\(414\) −55364.0 26661.9i −0.0158755 0.00764523i
\(415\) 2413.18 + 32201.6i 0.000687811 + 0.00917820i
\(416\) 6.45416e6 + 1.99085e6i 1.82855 + 0.564033i
\(417\) −1.05541e6 325550.i −0.297221 0.0916806i
\(418\) 36312.0 + 484550.i 0.0101651 + 0.135643i
\(419\) 714174. + 343928.i 0.198733 + 0.0957046i 0.530603 0.847620i \(-0.321965\pi\)
−0.331871 + 0.943325i \(0.607680\pi\)
\(420\) −4539.12 11772.3i −0.00125559 0.00325640i
\(421\) 883529. 425485.i 0.242949 0.116998i −0.308447 0.951241i \(-0.599809\pi\)
0.551397 + 0.834243i \(0.314095\pi\)
\(422\) −65718.7 113828.i −0.0179642 0.0311149i
\(423\) −758598. + 1.31393e6i −0.206139 + 0.357044i
\(424\) 1223.26 16323.3i 0.000330450 0.00440955i
\(425\) 1.74835e6 4.45472e6i 0.469521 1.19632i
\(426\) −466126. 2.04223e6i −0.124446 0.545232i
\(427\) −1.05267e6 1.84876e6i −0.279399 0.490694i
\(428\) 1.09953e6 4.81734e6i 0.290132 1.27115i
\(429\) 640942. + 436987.i 0.168142 + 0.114637i
\(430\) 21946.5 + 20363.4i 0.00572393 + 0.00531103i
\(431\) 5.09668e6 768200.i 1.32158 0.199196i 0.549913 0.835222i \(-0.314661\pi\)
0.771668 + 0.636026i \(0.219423\pi\)
\(432\) −2.13602e6 + 1.98193e6i −0.550675 + 0.510952i
\(433\) 2.84986e6 3.57361e6i 0.730472 0.915983i −0.268408 0.963305i \(-0.586497\pi\)
0.998880 + 0.0473226i \(0.0150689\pi\)
\(434\) 6.15732e6 7.62691e6i 1.56916 1.94368i
\(435\) −9734.31 12206.4i −0.00246651 0.00309290i
\(436\) −5.11964e6 771661.i −1.28980 0.194406i
\(437\) −12992.6 + 8858.22i −0.00325457 + 0.00221893i
\(438\) −799794. 2.03784e6i −0.199202 0.507557i
\(439\) 6.38980e6 1.97099e6i 1.58243 0.488116i 0.625941 0.779871i \(-0.284715\pi\)
0.956493 + 0.291754i \(0.0942389\pi\)
\(440\) −49.3741 −1.21581e−5
\(441\) 3.34837e6 + 545769.i 0.819856 + 0.133633i
\(442\) 1.01016e7 2.45943
\(443\) −1.12324e6 + 346473.i −0.271933 + 0.0838803i −0.427723 0.903910i \(-0.640684\pi\)
0.155790 + 0.987790i \(0.450208\pi\)
\(444\) 873297. + 2.22513e6i 0.210235 + 0.535670i
\(445\) 23068.5 15727.9i 0.00552230 0.00376504i
\(446\) −7.79213e6 1.17447e6i −1.85489 0.279580i
\(447\) −1.56026e6 1.95651e6i −0.369342 0.463141i
\(448\) −975453. + 4.15880e6i −0.229621 + 0.978978i
\(449\) −2.26759e6 + 2.84347e6i −0.530822 + 0.665630i −0.972868 0.231363i \(-0.925682\pi\)
0.442046 + 0.896993i \(0.354253\pi\)
\(450\) 3.70154e6 3.43453e6i 0.861690 0.799532i
\(451\) −1.14088e6 + 171961.i −0.264119 + 0.0398096i
\(452\) −5.37463e6 4.98693e6i −1.23738 1.14812i
\(453\) 439031. + 299326.i 0.100519 + 0.0685329i
\(454\) 2.63584e6 1.15484e7i 0.600176 2.62954i
\(455\) 37227.3 34129.4i 0.00843010 0.00772858i
\(456\) −419.933 1839.85i −9.45732e−5 0.000414352i
\(457\) −2.56107e6 + 6.52551e6i −0.573629 + 1.46158i 0.289786 + 0.957091i \(0.406416\pi\)
−0.863416 + 0.504493i \(0.831680\pi\)
\(458\) −647252. + 8.63697e6i −0.144182 + 1.92397i
\(459\) −2.18505e6 + 3.78462e6i −0.484094 + 0.838476i
\(460\) −288.475 499.654i −6.35644e−5 0.000110097i
\(461\) −4.17217e6 + 2.00921e6i −0.914344 + 0.440325i −0.831049 0.556200i \(-0.812259\pi\)
−0.0832958 + 0.996525i \(0.526545\pi\)
\(462\) −493633. + 843296.i −0.107597 + 0.183813i
\(463\) 6.19346e6 + 2.98262e6i 1.34271 + 0.646613i 0.960711 0.277551i \(-0.0895226\pi\)
0.381996 + 0.924164i \(0.375237\pi\)
\(464\) 392827. + 5.24192e6i 0.0847045 + 1.13030i
\(465\) 27372.1 + 8443.17i 0.00587050 + 0.00181081i
\(466\) −9.17772e6 2.83095e6i −1.95781 0.603903i
\(467\) 398430. + 5.31668e6i 0.0845395 + 1.12810i 0.864621 + 0.502424i \(0.167558\pi\)
−0.780082 + 0.625678i \(0.784823\pi\)
\(468\) 4.80828e6 + 2.31555e6i 1.01479 + 0.488696i
\(469\) 1.04333e6 702220.i 0.219024 0.147415i
\(470\) −25633.1 + 12344.2i −0.00535249 + 0.00257762i
\(471\) 122546. + 212256.i 0.0254534 + 0.0440866i
\(472\) 4348.51 7531.84i 0.000898432 0.00155613i
\(473\) 86756.4 1.15768e6i 0.0178299 0.237923i
\(474\) 659861. 1.68130e6i 0.134898 0.343715i
\(475\) −287536. 1.25978e6i −0.0584734 0.256189i
\(476\) 438060. + 6.35596e6i 0.0886169 + 1.28577i
\(477\) −1.03345e6 + 4.52785e6i −0.207967 + 0.911162i
\(478\) 770527. + 525336.i 0.154247 + 0.105164i
\(479\) −6.28305e6 5.82981e6i −1.25121 1.16096i −0.980120 0.198403i \(-0.936424\pi\)
−0.271093 0.962553i \(-0.587385\pi\)
\(480\) −24584.9 + 3705.58i −0.00487041 + 0.000734096i
\(481\) −7.01405e6 + 6.50808e6i −1.38231 + 1.28260i
\(482\) −720664. + 903684.i −0.141291 + 0.177174i
\(483\) −31622.1 189.337i −0.00616769 3.69290e-5i
\(484\) −2.79113e6 3.49997e6i −0.541585 0.679127i
\(485\) −40394.4 6088.47i −0.00779770 0.00117531i
\(486\) −5.89107e6 + 4.01646e6i −1.13137 + 0.771353i
\(487\) 128116. + 326434.i 0.0244782 + 0.0623695i 0.942590 0.333951i \(-0.108382\pi\)
−0.918112 + 0.396321i \(0.870287\pi\)
\(488\) 11156.3 3441.27i 0.00212066 0.000654138i
\(489\) 3.51346e6 0.664450
\(490\) 46113.4 + 43826.2i 0.00867635 + 0.00824600i
\(491\) 501987. 0.0939698 0.0469849 0.998896i \(-0.485039\pi\)
0.0469849 + 0.998896i \(0.485039\pi\)
\(492\) 1.54611e6 476911.i 0.287957 0.0888229i
\(493\) 2.88022e6 + 7.33869e6i 0.533714 + 1.35988i
\(494\) 2.25366e6 1.53652e6i 0.415499 0.283283i
\(495\) 13852.1 + 2087.87i 0.00254099 + 0.000382992i
\(496\) −6.01317e6 7.54028e6i −1.09749 1.37621i
\(497\) 3.27244e6 + 4.15429e6i 0.594266 + 0.754408i
\(498\) −2.18667e6 + 2.74200e6i −0.395103 + 0.495443i
\(499\) −6.58601e6 + 6.11092e6i −1.18405 + 1.09864i −0.190924 + 0.981605i \(0.561148\pi\)
−0.993128 + 0.117035i \(0.962661\pi\)
\(500\) 93763.9 14132.6i 0.0167730 0.00252812i
\(501\) 2.20061e6 + 2.04186e6i 0.391695 + 0.363440i
\(502\) −6.62050e6 4.51378e6i −1.17255 0.799431i
\(503\) 1.15431e6 5.05736e6i 0.203424 0.891259i −0.765409 0.643544i \(-0.777463\pi\)
0.968833 0.247715i \(-0.0796795\pi\)
\(504\) −6905.45 + 17289.7i −0.00121092 + 0.00303187i
\(505\) −848.194 3716.18i −0.000148002 0.000648438i
\(506\) −16324.5 + 41594.2i −0.00283442 + 0.00722198i
\(507\) 147432. 1.96734e6i 0.0254725 0.339907i
\(508\) −3.03391e6 + 5.25488e6i −0.521607 + 0.903449i
\(509\) 111278. + 192740.i 0.0190378 + 0.0329744i 0.875387 0.483422i \(-0.160606\pi\)
−0.856350 + 0.516397i \(0.827273\pi\)
\(510\) −33501.9 + 16133.7i −0.00570354 + 0.00274668i
\(511\) 4.02881e6 + 3.78333e6i 0.682535 + 0.640947i
\(512\) 7.56295e6 + 3.64212e6i 1.27502 + 0.614016i
\(513\) 88181.8 + 1.17670e6i 0.0147940 + 0.197412i
\(514\) 1.20720e7 + 3.72371e6i 2.01544 + 0.621681i
\(515\) −60215.2 18573.9i −0.0100043 0.00308593i
\(516\) 121663. + 1.62348e6i 0.0201156 + 0.268425i
\(517\) 993975. + 478673.i 0.163549 + 0.0787613i
\(518\) −8.78596e6 8.25063e6i −1.43868 1.35102i
\(519\) 2.90328e6 1.39815e6i 0.473119 0.227842i
\(520\) 138.579 + 240.025i 2.24744e−5 + 3.89268e-5i
\(521\) 4.72524e6 8.18436e6i 0.762658 1.32096i −0.178818 0.983882i \(-0.557227\pi\)
0.941476 0.337080i \(-0.109439\pi\)
\(522\) −621644. + 8.29526e6i −0.0998540 + 1.33246i
\(523\) −1.27623e6 + 3.25179e6i −0.204021 + 0.519838i −0.995861 0.0908912i \(-0.971028\pi\)
0.791839 + 0.610729i \(0.209124\pi\)
\(524\) −104489. 457794.i −0.0166242 0.0728353i
\(525\) 963816. 2.41318e6i 0.152614 0.382112i
\(526\) 341279. 1.49524e6i 0.0537830 0.235639i
\(527\) −1.19509e7 8.14800e6i −1.87445 1.27798i
\(528\) 704772. + 653932.i 0.110018 + 0.102082i
\(529\) 6.36302e6 959072.i 0.988609 0.149009i
\(530\) −63841.4 + 59236.2i −0.00987218 + 0.00916004i
\(531\) −1.53849e6 + 1.92920e6i −0.236787 + 0.296921i
\(532\) 1.06451e6 + 1.35138e6i 0.163069 + 0.207013i
\(533\) 4.03809e6 + 5.06360e6i 0.615684 + 0.772043i
\(534\) 2.99845e6 + 451944.i 0.455034 + 0.0685853i
\(535\) −60156.3 + 41013.8i −0.00908649 + 0.00619507i
\(536\) 2521.47 + 6424.59i 0.000379089 + 0.000965903i
\(537\) −3.16264e6 + 975545.i −0.473276 + 0.145986i
\(538\) −3.50473e6 −0.522034
\(539\) 213796. 2.45762e6i 0.0316977 0.364370i
\(540\) −43294.3 −0.00638919
\(541\) 1.98260e6 611553.i 0.291235 0.0898340i −0.145695 0.989330i \(-0.546542\pi\)
0.436930 + 0.899496i \(0.356066\pi\)
\(542\) −1.76102e6 4.48699e6i −0.257493 0.656081i
\(543\) 3.43666e6 2.34307e6i 0.500192 0.341025i
\(544\) 1.24142e7 + 1.87115e6i 1.79855 + 0.271088i
\(545\) 47564.9 + 59644.5i 0.00685955 + 0.00860160i
\(546\) 5.48505e6 + 32841.7i 0.787407 + 0.00471460i
\(547\) −826815. + 1.03679e6i −0.118152 + 0.148158i −0.837390 0.546606i \(-0.815920\pi\)
0.719238 + 0.694764i \(0.244491\pi\)
\(548\) 1.76337e6 1.63617e6i 0.250837 0.232743i
\(549\) −3.27547e6 + 493698.i −0.463813 + 0.0699085i
\(550\) −2.69157e6 2.49741e6i −0.379402 0.352033i
\(551\) 1.75884e6 + 1.19915e6i 0.246801 + 0.168266i
\(552\) 38.6160 169.188i 5.39410e−6 2.36331e-5i
\(553\) 313522. + 4.54899e6i 0.0435969 + 0.632561i
\(554\) −3.52014e6 1.54228e7i −0.487288 2.13495i
\(555\) 12867.7 32786.5i 0.00177325 0.00451817i
\(556\) −412898. + 5.50974e6i −0.0566442 + 0.755864i
\(557\) 3.36154e6 5.82235e6i 0.459092 0.795171i −0.539821 0.841780i \(-0.681508\pi\)
0.998913 + 0.0466088i \(0.0148414\pi\)
\(558\) −7.63105e6 1.32174e7i −1.03753 1.79705i
\(559\) −5.87141e6 + 2.82752e6i −0.794718 + 0.382716i
\(560\) 51927.3 34949.9i 0.00699722 0.00470951i
\(561\) 1.29911e6 + 625617.i 0.174276 + 0.0839269i
\(562\) −341974. 4.56333e6i −0.0456723 0.609455i
\(563\) −1.16153e7 3.58285e6i −1.54440 0.476385i −0.598579 0.801064i \(-0.704268\pi\)
−0.945824 + 0.324679i \(0.894744\pi\)
\(564\) −1.47838e6 456020.i −0.195699 0.0603651i
\(565\) 8073.28 + 107730.i 0.00106397 + 0.0141977i
\(566\) 8.00583e6 + 3.85540e6i 1.05043 + 0.505858i
\(567\) 2.01365e6 3.44002e6i 0.263043 0.449369i
\(568\) −26147.5 + 12592.0i −0.00340063 + 0.00163766i
\(569\) −664667. 1.15124e6i −0.0860643 0.149068i 0.819780 0.572679i \(-0.194096\pi\)
−0.905844 + 0.423611i \(0.860762\pi\)
\(570\) −5020.21 + 8695.27i −0.000647195 + 0.00112097i
\(571\) 293588. 3.91766e6i 0.0376832 0.502847i −0.946146 0.323740i \(-0.895060\pi\)
0.983829 0.179108i \(-0.0573211\pi\)
\(572\) 1.41776e6 3.61239e6i 0.181181 0.461641i
\(573\) 805927. + 3.53100e6i 0.102544 + 0.449274i
\(574\) −6.01350e6 + 5.51308e6i −0.761812 + 0.698417i
\(575\) 26441.1 115846.i 0.00333510 0.0146120i
\(576\) 5.49535e6 + 3.74666e6i 0.690143 + 0.470531i
\(577\) 3.50411e6 + 3.25134e6i 0.438166 + 0.406559i 0.868169 0.496269i \(-0.165297\pi\)
−0.430003 + 0.902828i \(0.641487\pi\)
\(578\) 7.32689e6 1.10435e6i 0.912221 0.137495i
\(579\) 3.18280e6 2.95320e6i 0.394560 0.366098i
\(580\) −48696.3 + 61063.2i −0.00601071 + 0.00753719i
\(581\) 2.02187e6 8.62015e6i 0.248492 1.05944i
\(582\) −2.76623e6 3.46874e6i −0.338517 0.424487i
\(583\) 3.33937e6 + 503329.i 0.406905 + 0.0613311i
\(584\) −25059.6 + 17085.3i −0.00304047 + 0.00207296i
\(585\) −28728.9 73200.0i −0.00347080 0.00884345i
\(586\) 206795. 63787.7i 0.0248768 0.00767349i
\(587\) −5.71909e6 −0.685065 −0.342533 0.939506i \(-0.611285\pi\)
−0.342533 + 0.939506i \(0.611285\pi\)
\(588\) 217198. + 3.45264e6i 0.0259067 + 0.411820i
\(589\) −3.90560e6 −0.463873
\(590\) −44215.8 + 13638.8i −0.00522934 + 0.00161304i
\(591\) −585003. 1.49056e6i −0.0688952 0.175542i
\(592\) −9.79806e6 + 6.68020e6i −1.14904 + 0.783403i
\(593\) 9.15996e6 + 1.38064e6i 1.06969 + 0.161229i 0.660202 0.751088i \(-0.270470\pi\)
0.409484 + 0.912317i \(0.365709\pi\)
\(594\) 2.09056e6 + 2.62148e6i 0.243107 + 0.304846i
\(595\) 58968.5 73042.7i 0.00682854 0.00845833i
\(596\) −7.80529e6 + 9.78752e6i −0.900063 + 1.12864i
\(597\) −665463. + 617459.i −0.0764166 + 0.0709043i
\(598\) 248022. 37383.3i 0.0283621 0.00427489i
\(599\) 1.43542e6 + 1.33188e6i 0.163460 + 0.151669i 0.757662 0.652647i \(-0.226342\pi\)
−0.594202 + 0.804316i \(0.702532\pi\)
\(600\) 11782.3 + 8033.06i 0.00133614 + 0.000910967i
\(601\) 1.40914e6 6.17383e6i 0.159136 0.697218i −0.830903 0.556418i \(-0.812175\pi\)
0.990038 0.140800i \(-0.0449675\pi\)
\(602\) −4.06177e6 7.13350e6i −0.456798 0.802253i
\(603\) −435732. 1.90907e6i −0.0488008 0.213810i
\(604\) 971132. 2.47440e6i 0.108314 0.275980i
\(605\) −4929.32 + 65777.2i −0.000547518 + 0.00730612i
\(606\) 206992. 358522.i 0.0228967 0.0396583i
\(607\) 5.31841e6 + 9.21176e6i 0.585882 + 1.01478i 0.994765 + 0.102190i \(0.0325851\pi\)
−0.408883 + 0.912587i \(0.634082\pi\)
\(608\) 3.05422e6 1.47083e6i 0.335074 0.161363i
\(609\) 1.54007e6 + 3.99419e6i 0.168266 + 0.436400i
\(610\) −55964.2 26950.9i −0.00608955 0.00293258i
\(611\) −462795. 6.17557e6i −0.0501517 0.669227i
\(612\) 9.47908e6 + 2.92391e6i 1.02303 + 0.315562i
\(613\) 96283.7 + 29699.6i 0.0103491 + 0.00319227i 0.299925 0.953963i \(-0.403038\pi\)
−0.289576 + 0.957155i \(0.593514\pi\)
\(614\) −468520. 6.25196e6i −0.0501542 0.669261i
\(615\) −21479.6 10344.0i −0.00229002 0.00110281i
\(616\) 12912.3 + 4067.73i 0.00137104 + 0.000431917i
\(617\) −1.57184e7 + 7.56959e6i −1.66225 + 0.800496i −0.663622 + 0.748068i \(0.730982\pi\)
−0.998625 + 0.0524282i \(0.983304\pi\)
\(618\) −3.42194e6 5.92697e6i −0.360413 0.624254i
\(619\) 5.77850e6 1.00086e7i 0.606161 1.04990i −0.385706 0.922622i \(-0.626042\pi\)
0.991867 0.127280i \(-0.0406247\pi\)
\(620\) 10708.5 142895.i 0.00111880 0.0149293i
\(621\) −39643.2 + 101009.i −0.00412515 + 0.0105107i
\(622\) 4.15468e6 + 1.82028e7i 0.430588 + 1.88653i
\(623\) −7.32862e6 + 2.21261e6i −0.756488 + 0.228394i
\(624\) 1.20091e6 5.26155e6i 0.123467 0.540943i
\(625\) 8.06701e6 + 5.49999e6i 0.826061 + 0.563199i
\(626\) −1.65099e7 1.53189e7i −1.68387 1.56240i
\(627\) 384990. 58027.9i 0.0391093 0.00589478i
\(628\) 898781. 833947.i 0.0909400 0.0843800i
\(629\) −1.10888e7 + 1.39049e7i −1.11753 + 1.40134i
\(630\) 89499.6 42442.5i 0.00898400 0.00426039i
\(631\) −28754.1 36056.5i −0.00287493 0.00360505i 0.780392 0.625291i \(-0.215020\pi\)
−0.783267 + 0.621686i \(0.786448\pi\)
\(632\) −24743.7 3729.51i −0.00246417 0.000371415i
\(633\) −87015.6 + 59326.2i −0.00863153 + 0.00588488i
\(634\) 4.72352e6 + 1.20353e7i 0.466705 + 1.18915i
\(635\) 85435.2 26353.3i 0.00840819 0.00259358i
\(636\) −4.73587e6 −0.464256
\(637\) −1.25474e7 + 5.85847e6i −1.22520 + 0.572053i
\(638\) 6.04881e6 0.588326
\(639\) 7.86827e6 2.42704e6i 0.762302 0.235139i
\(640\) 251.689 + 641.294i 2.42893e−5 + 6.18881e-5i
\(641\) 9.73337e6 6.63610e6i 0.935660 0.637922i 0.00350983 0.999994i \(-0.498883\pi\)
0.932150 + 0.362072i \(0.117930\pi\)
\(642\) −7.81911e6 1.17854e6i −0.748721 0.112851i
\(643\) 5.62263e6 + 7.05055e6i 0.536305 + 0.672506i 0.973982 0.226627i \(-0.0727699\pi\)
−0.437676 + 0.899133i \(0.644198\pi\)
\(644\) 34277.3 + 154435.i 0.00325681 + 0.0146734i
\(645\) 14956.6 18755.0i 0.00141558 0.00177508i
\(646\) 3.71654e6 3.44845e6i 0.350395 0.325119i
\(647\) −3.78360e6 + 570286.i −0.355340 + 0.0535589i −0.324287 0.945959i \(-0.605124\pi\)
−0.0310534 + 0.999518i \(0.509886\pi\)
\(648\) 16035.2 + 14878.5i 0.00150016 + 0.00139194i
\(649\) 1.48250e6 + 1.01075e6i 0.138160 + 0.0941959i
\(650\) −4.58637e6 + 2.00942e7i −0.425781 + 1.86547i
\(651\) −6.46272e6 4.46312e6i −0.597672 0.412749i
\(652\) −3.91107e6 1.71355e7i −0.360311 1.57862i
\(653\) 2.41281e6 6.14775e6i 0.221432 0.564200i −0.776383 0.630261i \(-0.782948\pi\)
0.997816 + 0.0660610i \(0.0210432\pi\)
\(654\) −619175. + 8.26231e6i −0.0566068 + 0.755366i
\(655\) −3459.46 + 5991.96i −0.000315068 + 0.000545714i
\(656\) 4.01344e6 + 6.95148e6i 0.364131 + 0.630693i
\(657\) 7.75304e6 3.73367e6i 0.700742 0.337460i
\(658\) 7.72053e6 1.11645e6i 0.695156 0.100525i
\(659\) −1.13017e7 5.44259e6i −1.01374 0.488194i −0.148164 0.988963i \(-0.547336\pi\)
−0.865581 + 0.500769i \(0.833051\pi\)
\(660\) 1067.50 + 14244.9i 9.53915e−5 + 0.00127291i
\(661\) 1.26774e7 + 3.91045e6i 1.12856 + 0.348116i 0.802156 0.597114i \(-0.203686\pi\)
0.326407 + 0.945229i \(0.394162\pi\)
\(662\) 2.43704e7 + 7.51728e6i 2.16132 + 0.666677i
\(663\) −604864. 8.07135e6i −0.0534409 0.713120i
\(664\) 43777.6 + 21082.2i 0.00385329 + 0.00185565i
\(665\) 2045.56 25265.2i 0.000179374 0.00221549i
\(666\) −1.69077e7 + 8.14231e6i −1.47706 + 0.711315i
\(667\) 97876.0 + 169526.i 0.00851847 + 0.0147544i
\(668\) 7.50876e6 1.30056e7i 0.651069 1.12768i
\(669\) −471848. + 6.29637e6i −0.0407603 + 0.543908i
\(670\) 13415.2 34181.3i 0.00115454 0.00294172i
\(671\) 535977. + 2.34827e6i 0.0459558 + 0.201345i
\(672\) 6.73471e6 + 1.05637e6i 0.575302 + 0.0902388i
\(673\) 2.04957e6 8.97976e6i 0.174432 0.764235i −0.809707 0.586834i \(-0.800374\pi\)
0.984139 0.177401i \(-0.0567689\pi\)
\(674\) 1.68538e7 + 1.14907e7i 1.42905 + 0.974310i
\(675\) −6.53634e6 6.06484e6i −0.552173 0.512342i
\(676\) −9.75907e6 + 1.47094e6i −0.821375 + 0.123802i
\(677\) 6.79079e6 6.30093e6i 0.569441 0.528364i −0.342052 0.939681i \(-0.611122\pi\)
0.911492 + 0.411318i \(0.134931\pi\)
\(678\) −7.31550e6 + 9.17335e6i −0.611181 + 0.766397i
\(679\) 1.00623e7 + 4.92018e6i 0.837573 + 0.409550i
\(680\) 321.202 + 402.774i 2.66382e−5 + 3.34033e-5i
\(681\) −9.38516e6 1.41459e6i −0.775486 0.116886i
\(682\) −9.16945e6 + 6.25163e6i −0.754888 + 0.514674i
\(683\) −1.33278e6 3.39588e6i −0.109322 0.278548i 0.865735 0.500503i \(-0.166852\pi\)
−0.975057 + 0.221955i \(0.928756\pi\)
\(684\) 2.55952e6 789506.i 0.209179 0.0645231i
\(685\) −35444.5 −0.00288617
\(686\) −8.44887e6 1.52605e7i −0.685470 1.23811i
\(687\) 6.93985e6 0.560994
\(688\) −7.71787e6 + 2.38065e6i −0.621622 + 0.191745i
\(689\) −6.92578e6 1.76466e7i −0.555803 1.41616i
\(690\) −762.859 + 520.109i −6.09989e−5 + 4.15883e-5i
\(691\) −8.50170e6 1.28143e6i −0.677346 0.102094i −0.198645 0.980071i \(-0.563654\pi\)
−0.478701 + 0.877978i \(0.658892\pi\)
\(692\) −1.00508e7 1.26033e7i −0.797873 1.00050i
\(693\) −3.45058e6 1.68724e6i −0.272935 0.133457i
\(694\) −1.90907e7 + 2.39389e7i −1.50460 + 1.88671i
\(695\) 59679.1 55374.1i 0.00468662 0.00434855i
\(696\) −23229.8 + 3501.33i −0.00181770 + 0.000273975i
\(697\) 8.82477e6 + 8.18819e6i 0.688052 + 0.638419i
\(698\) 1.43188e7 + 9.76236e6i 1.11241 + 0.758432i
\(699\) −1.71244e6 + 7.50267e6i −0.132563 + 0.580795i
\(700\) −1.28422e7 2.01437e6i −0.990593 0.155379i
\(701\) −71570.0 313569.i −0.00550093 0.0241011i 0.972103 0.234555i \(-0.0753631\pi\)
−0.977604 + 0.210453i \(0.932506\pi\)
\(702\) 6.87637e6 1.75207e7i 0.526643 1.34187i
\(703\) −358875. + 4.78886e6i −0.0273877 + 0.365463i
\(704\) 2.41815e6 4.18836e6i 0.183887 0.318502i
\(705\) 11398.1 + 19742.1i 0.000863695 + 0.00149596i
\(706\) 2.44025e7 1.17516e7i 1.84256 0.887332i
\(707\) −84342.2 + 1.04173e6i −0.00634595 + 0.0783804i
\(708\) −2.26702e6 1.09174e6i −0.169970 0.0818532i
\(709\) 553863. + 7.39079e6i 0.0413796 + 0.552173i 0.978913 + 0.204277i \(0.0654845\pi\)
−0.937533 + 0.347895i \(0.886896\pi\)
\(710\) 147546. + 45512.0i 0.0109845 + 0.00338828i
\(711\) 6.78422e6 + 2.09266e6i 0.503299 + 0.155247i
\(712\) −3139.48 41893.5i −0.000232091 0.00309704i
\(713\) −323582. 155829.i −0.0238375 0.0114795i
\(714\) 1.00906e7 1.45918e6i 0.740749 0.107118i
\(715\) −51517.4 + 24809.5i −0.00376868 + 0.00181490i
\(716\) 8.27841e6 + 1.43386e7i 0.603482 + 1.04526i
\(717\) 373615. 647120.i 0.0271410 0.0470097i
\(718\) 633854. 8.45819e6i 0.0458858 0.612303i
\(719\) −8.28634e6 + 2.11133e7i −0.597779 + 1.52312i 0.236419 + 0.971651i \(0.424026\pi\)
−0.834198 + 0.551465i \(0.814069\pi\)
\(720\) −21686.6 95015.3i −0.00155905 0.00683065i
\(721\) 1.42172e7 + 9.81832e6i 1.01853 + 0.703394i
\(722\) −4.10630e6 + 1.79909e7i −0.293162 + 1.28443i
\(723\) 765211. + 521712.i 0.0544422 + 0.0371181i
\(724\) −1.52530e7 1.41527e7i −1.08146 1.00345i
\(725\) −1.59059e7 + 2.39743e6i −1.12386 + 0.169395i
\(726\) −5.25154e6 + 4.87271e6i −0.369781 + 0.343107i
\(727\) −1.12977e6 + 1.41668e6i −0.0792780 + 0.0994115i −0.819889 0.572523i \(-0.805965\pi\)
0.740611 + 0.671934i \(0.234536\pi\)
\(728\) −16466.3 74188.1i −0.00115151 0.00518807i
\(729\) −1.09638e6 1.37482e6i −0.0764087 0.0958134i
\(730\) 159563. + 24050.3i 0.0110822 + 0.00167037i
\(731\) −1.00083e7 + 6.82355e6i −0.692735 + 0.472299i
\(732\) −1.23404e6 3.14429e6i −0.0851242 0.216893i
\(733\) −1.09498e7 + 3.37757e6i −0.752742 + 0.232190i −0.647300 0.762235i \(-0.724102\pi\)
−0.105442 + 0.994425i \(0.533626\pi\)
\(734\) −2.75266e7 −1.88587
\(735\) 32256.7 39469.6i 0.00220243 0.00269491i
\(736\) 311729. 0.0212120
\(737\) −1.36062e6 + 419695.i −0.0922715 + 0.0284620i
\(738\) 4.64072e6 + 1.18244e7i 0.313649 + 0.799165i
\(739\) −1.32534e7 + 9.03602e6i −0.892723 + 0.608648i −0.920404 0.390969i \(-0.872140\pi\)
0.0276811 + 0.999617i \(0.491188\pi\)
\(740\) −174228. 26260.6i −0.0116960 0.00176289i
\(741\) −1.36265e6 1.70871e6i −0.0911671 0.114320i
\(742\) 2.15760e7 1.02318e7i 1.43867 0.682245i
\(743\) −7.04940e6 + 8.83967e6i −0.468468 + 0.587441i −0.958795 0.284098i \(-0.908306\pi\)
0.490327 + 0.871539i \(0.336877\pi\)
\(744\) 31595.6 29316.5i 0.00209264 0.00194169i
\(745\) 182399. 27492.2i 0.0120401 0.00181476i
\(746\) 2.51892e7 + 2.33721e7i 1.65717 + 1.53763i
\(747\) −1.13905e7 7.76590e6i −0.746862 0.509202i
\(748\) 1.60508e6 7.03232e6i 0.104892 0.459562i
\(749\) 1.91110e7 5.76987e6i 1.24474 0.375804i
\(750\) −33766.4 147940.i −0.00219196 0.00960359i
\(751\) 1.91258e6 4.87318e6i 0.123743 0.315292i −0.855556 0.517710i \(-0.826785\pi\)
0.979299 + 0.202418i \(0.0648799\pi\)
\(752\) 573573. 7.65380e6i 0.0369866 0.493552i
\(753\) −3.21017e6 + 5.56017e6i −0.206319 + 0.357356i
\(754\) −1.69772e7 2.94054e7i −1.08752 1.88365i
\(755\) −35288.2 + 16993.9i −0.00225301 + 0.00108499i
\(756\) 1.13223e7 + 3.56684e6i 0.720492 + 0.226976i
\(757\) 1.54019e7 + 7.41716e6i 0.976864 + 0.470433i 0.853025 0.521869i \(-0.174765\pi\)
0.123839 + 0.992302i \(0.460479\pi\)
\(758\) 558028. + 7.44637e6i 0.0352763 + 0.470729i
\(759\) 34211.9 + 10553.0i 0.00215563 + 0.000664922i
\(760\) 132.924 + 41.0017i 8.34776e−6 + 2.57494e-6i