Properties

Label 49.6.g.a.25.8
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 25.8
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-3.14587 + 0.970373i) q^{2} +(-3.81108 - 9.71048i) q^{3} +(-17.4847 + 11.9209i) q^{4} +(67.5754 + 10.1854i) q^{5} +(21.4120 + 26.8498i) q^{6} +(-81.7407 + 100.625i) q^{7} +(109.121 - 136.833i) q^{8} +(98.3625 - 91.2671i) q^{9} +O(q^{10})\) \(q+(-3.14587 + 0.970373i) q^{2} +(-3.81108 - 9.71048i) q^{3} +(-17.4847 + 11.9209i) q^{4} +(67.5754 + 10.1854i) q^{5} +(21.4120 + 26.8498i) q^{6} +(-81.7407 + 100.625i) q^{7} +(109.121 - 136.833i) q^{8} +(98.3625 - 91.2671i) q^{9} +(-222.467 + 33.5315i) q^{10} +(-557.865 - 517.623i) q^{11} +(182.393 + 124.354i) q^{12} +(36.0988 - 158.159i) q^{13} +(159.502 - 395.874i) q^{14} +(-158.631 - 695.007i) q^{15} +(36.9008 - 94.0216i) q^{16} +(121.941 - 1627.19i) q^{17} +(-220.873 + 382.563i) q^{18} +(257.655 + 446.272i) q^{19} +(-1302.96 + 627.471i) q^{20} +(1288.64 + 410.250i) q^{21} +(2257.26 + 1087.04i) q^{22} +(-249.543 - 3329.92i) q^{23} +(-1744.58 - 538.132i) q^{24} +(1476.53 + 455.449i) q^{25} +(39.9113 + 532.579i) q^{26} +(-3544.96 - 1707.16i) q^{27} +(229.672 - 2733.83i) q^{28} +(3843.54 - 1850.95i) q^{29} +(1173.45 + 2032.47i) q^{30} +(-2374.95 + 4113.53i) q^{31} +(-443.376 + 5916.44i) q^{32} +(-2900.30 + 7389.84i) q^{33} +(1195.37 + 5237.25i) q^{34} +(-6548.57 + 5967.24i) q^{35} +(-631.858 + 2768.35i) q^{36} +(5055.85 + 3447.02i) q^{37} +(-1243.60 - 1153.89i) q^{38} +(-1673.38 + 252.221i) q^{39} +(8767.56 - 8135.11i) q^{40} +(-838.874 + 1051.91i) q^{41} +(-4452.00 - 40.1326i) q^{42} +(-6600.57 - 8276.85i) q^{43} +(15924.7 + 2400.26i) q^{44} +(7576.48 - 5165.55i) q^{45} +(4016.29 + 10233.4i) q^{46} +(10594.5 - 3267.96i) q^{47} -1053.63 q^{48} +(-3443.91 - 16450.4i) q^{49} -5086.93 q^{50} +(-16265.5 + 5017.24i) q^{51} +(1254.22 + 3195.71i) q^{52} +(-7541.77 + 5141.89i) q^{53} +(12808.6 + 1930.58i) q^{54} +(-32425.8 - 40660.7i) q^{55} +(4849.26 + 22165.1i) q^{56} +(3351.57 - 4202.74i) q^{57} +(-10295.2 + 9552.53i) q^{58} +(37683.1 - 5679.81i) q^{59} +(11058.7 + 10261.0i) q^{60} +(-33983.2 - 23169.4i) q^{61} +(3479.63 - 15245.2i) q^{62} +(1143.56 + 17358.0i) q^{63} +(-3627.14 - 15891.5i) q^{64} +(4050.30 - 10320.0i) q^{65} +(1953.07 - 26061.9i) q^{66} +(-8150.59 + 14117.2i) q^{67} +(17265.4 + 29904.6i) q^{68} +(-31384.1 + 15113.8i) q^{69} +(14810.5 - 25126.7i) q^{70} +(-65402.3 - 31496.1i) q^{71} +(-1754.96 - 23418.4i) q^{72} +(27520.0 + 8488.78i) q^{73} +(-19250.0 - 5937.83i) q^{74} +(-1204.55 - 16073.6i) q^{75} +(-9825.00 - 4731.47i) q^{76} +(97686.3 - 13824.5i) q^{77} +(5019.49 - 2417.26i) q^{78} +(34362.9 + 59518.3i) q^{79} +(3451.23 - 5977.70i) q^{80} +(-630.562 + 8414.26i) q^{81} +(1618.24 - 4123.21i) q^{82} +(26974.0 + 118181. i) q^{83} +(-27422.1 + 8188.63i) q^{84} +(24813.7 - 108716. i) q^{85} +(28796.2 + 19632.9i) q^{86} +(-32621.7 - 30268.5i) q^{87} +(-131703. + 19851.0i) q^{88} +(-12680.2 + 11765.5i) q^{89} +(-18822.1 + 23602.2i) q^{90} +(12964.1 + 16560.5i) q^{91} +(44058.8 + 55248.0i) q^{92} +(48995.5 + 7384.89i) q^{93} +(-30157.7 + 20561.2i) q^{94} +(12865.7 + 32781.3i) q^{95} +(59141.2 - 18242.6i) q^{96} -39205.5 q^{97} +(26797.1 + 48408.9i) q^{98} -102115. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.14587 + 0.970373i −0.556117 + 0.171539i −0.560059 0.828453i \(-0.689221\pi\)
0.00394177 + 0.999992i \(0.498745\pi\)
\(3\) −3.81108 9.71048i −0.244481 0.622928i 0.754980 0.655748i \(-0.227646\pi\)
−0.999461 + 0.0328200i \(0.989551\pi\)
\(4\) −17.4847 + 11.9209i −0.546398 + 0.372528i
\(5\) 67.5754 + 10.1854i 1.20883 + 0.182201i 0.722372 0.691505i \(-0.243052\pi\)
0.486454 + 0.873706i \(0.338290\pi\)
\(6\) 21.4120 + 26.8498i 0.242817 + 0.304483i
\(7\) −81.7407 + 100.625i −0.630512 + 0.776179i
\(8\) 109.121 136.833i 0.602812 0.755902i
\(9\) 98.3625 91.2671i 0.404784 0.375585i
\(10\) −222.467 + 33.5315i −0.703503 + 0.106036i
\(11\) −557.865 517.623i −1.39010 1.28983i −0.911202 0.411961i \(-0.864844\pi\)
−0.478903 0.877868i \(-0.658965\pi\)
\(12\) 182.393 + 124.354i 0.365642 + 0.249291i
\(13\) 36.0988 158.159i 0.0592427 0.259559i −0.936630 0.350320i \(-0.886073\pi\)
0.995873 + 0.0907609i \(0.0289299\pi\)
\(14\) 159.502 395.874i 0.217493 0.539804i
\(15\) −158.631 695.007i −0.182037 0.797556i
\(16\) 36.9008 94.0216i 0.0360359 0.0918180i
\(17\) 121.941 1627.19i 0.102336 1.36557i −0.675618 0.737252i \(-0.736123\pi\)
0.777954 0.628322i \(-0.216258\pi\)
\(18\) −220.873 + 382.563i −0.160680 + 0.278305i
\(19\) 257.655 + 446.272i 0.163740 + 0.283606i 0.936207 0.351449i \(-0.114311\pi\)
−0.772467 + 0.635055i \(0.780977\pi\)
\(20\) −1302.96 + 627.471i −0.728375 + 0.350767i
\(21\) 1288.64 + 410.250i 0.637652 + 0.203002i
\(22\) 2257.26 + 1087.04i 0.994317 + 0.478838i
\(23\) −249.543 3329.92i −0.0983616 1.31254i −0.799995 0.600006i \(-0.795165\pi\)
0.701634 0.712538i \(-0.252454\pi\)
\(24\) −1744.58 538.132i −0.618249 0.190704i
\(25\) 1476.53 + 455.449i 0.472489 + 0.145744i
\(26\) 39.9113 + 532.579i 0.0115788 + 0.154508i
\(27\) −3544.96 1707.16i −0.935840 0.450677i
\(28\) 229.672 2733.83i 0.0553621 0.658987i
\(29\) 3843.54 1850.95i 0.848666 0.408696i 0.0415836 0.999135i \(-0.486760\pi\)
0.807082 + 0.590439i \(0.201045\pi\)
\(30\) 1173.45 + 2032.47i 0.238046 + 0.412308i
\(31\) −2374.95 + 4113.53i −0.443864 + 0.768795i −0.997972 0.0636493i \(-0.979726\pi\)
0.554108 + 0.832445i \(0.313059\pi\)
\(32\) −443.376 + 5916.44i −0.0765415 + 1.02138i
\(33\) −2900.30 + 7389.84i −0.463616 + 1.18127i
\(34\) 1195.37 + 5237.25i 0.177339 + 0.776973i
\(35\) −6548.57 + 5967.24i −0.903600 + 0.823386i
\(36\) −631.858 + 2768.35i −0.0812575 + 0.356012i
\(37\) 5055.85 + 3447.02i 0.607142 + 0.413942i 0.827491 0.561479i \(-0.189767\pi\)
−0.220349 + 0.975421i \(0.570720\pi\)
\(38\) −1243.60 1153.89i −0.139708 0.129630i
\(39\) −1673.38 + 252.221i −0.176170 + 0.0265534i
\(40\) 8767.56 8135.11i 0.866421 0.803921i
\(41\) −838.874 + 1051.91i −0.0779358 + 0.0977284i −0.819271 0.573407i \(-0.805622\pi\)
0.741335 + 0.671135i \(0.234193\pi\)
\(42\) −4452.00 40.1326i −0.389432 0.00351054i
\(43\) −6600.57 8276.85i −0.544390 0.682643i 0.431197 0.902258i \(-0.358091\pi\)
−0.975587 + 0.219615i \(0.929520\pi\)
\(44\) 15924.7 + 2400.26i 1.24005 + 0.186907i
\(45\) 7576.48 5165.55i 0.557745 0.380264i
\(46\) 4016.29 + 10233.4i 0.279854 + 0.713056i
\(47\) 10594.5 3267.96i 0.699575 0.215790i 0.0754895 0.997147i \(-0.475948\pi\)
0.624085 + 0.781356i \(0.285472\pi\)
\(48\) −1053.63 −0.0660061
\(49\) −3443.91 16450.4i −0.204909 0.978781i
\(50\) −5086.93 −0.287760
\(51\) −16265.5 + 5017.24i −0.875673 + 0.270109i
\(52\) 1254.22 + 3195.71i 0.0643230 + 0.163892i
\(53\) −7541.77 + 5141.89i −0.368794 + 0.251439i −0.733509 0.679680i \(-0.762119\pi\)
0.364715 + 0.931119i \(0.381166\pi\)
\(54\) 12808.6 + 1930.58i 0.597745 + 0.0900956i
\(55\) −32425.8 40660.7i −1.44539 1.81246i
\(56\) 4849.26 + 22165.1i 0.206636 + 0.944496i
\(57\) 3351.57 4202.74i 0.136635 0.171335i
\(58\) −10295.2 + 9552.53i −0.401850 + 0.372862i
\(59\) 37683.1 5679.81i 1.40934 0.212424i 0.600112 0.799916i \(-0.295123\pi\)
0.809230 + 0.587492i \(0.199884\pi\)
\(60\) 11058.7 + 10261.0i 0.396577 + 0.367969i
\(61\) −33983.2 23169.4i −1.16934 0.797240i −0.186634 0.982430i \(-0.559758\pi\)
−0.982703 + 0.185189i \(0.940710\pi\)
\(62\) 3479.63 15245.2i 0.114962 0.503680i
\(63\) 1143.56 + 17358.0i 0.0362999 + 0.550996i
\(64\) −3627.14 15891.5i −0.110691 0.484971i
\(65\) 4050.30 10320.0i 0.118906 0.302968i
\(66\) 1953.07 26061.9i 0.0551896 0.736455i
\(67\) −8150.59 + 14117.2i −0.221821 + 0.384205i −0.955361 0.295441i \(-0.904533\pi\)
0.733540 + 0.679646i \(0.237867\pi\)
\(68\) 17265.4 + 29904.6i 0.452798 + 0.784270i
\(69\) −31384.1 + 15113.8i −0.793573 + 0.382164i
\(70\) 14810.5 25126.7i 0.361264 0.612902i
\(71\) −65402.3 31496.1i −1.53974 0.741499i −0.544482 0.838773i \(-0.683274\pi\)
−0.995258 + 0.0972732i \(0.968988\pi\)
\(72\) −1754.96 23418.4i −0.0398967 0.532384i
\(73\) 27520.0 + 8488.78i 0.604422 + 0.186440i 0.581837 0.813305i \(-0.302334\pi\)
0.0225853 + 0.999745i \(0.492810\pi\)
\(74\) −19250.0 5937.83i −0.408649 0.126052i
\(75\) −1204.55 16073.6i −0.0247270 0.329958i
\(76\) −9825.00 4731.47i −0.195119 0.0939642i
\(77\) 97686.3 13824.5i 1.87762 0.265718i
\(78\) 5019.49 2417.26i 0.0934164 0.0449870i
\(79\) 34362.9 + 59518.3i 0.619473 + 1.07296i 0.989582 + 0.143970i \(0.0459870\pi\)
−0.370109 + 0.928988i \(0.620680\pi\)
\(80\) 3451.23 5977.70i 0.0602905 0.104426i
\(81\) −630.562 + 8414.26i −0.0106786 + 0.142496i
\(82\) 1618.24 4123.21i 0.0265772 0.0677175i
\(83\) 26974.0 + 118181.i 0.429784 + 1.88301i 0.467985 + 0.883736i \(0.344980\pi\)
−0.0382012 + 0.999270i \(0.512163\pi\)
\(84\) −27422.1 + 8188.63i −0.424036 + 0.126623i
\(85\) 24813.7 108716.i 0.372515 1.63209i
\(86\) 28796.2 + 19632.9i 0.419845 + 0.286245i
\(87\) −32621.7 30268.5i −0.462071 0.428739i
\(88\) −131703. + 19851.0i −1.81296 + 0.273259i
\(89\) −12680.2 + 11765.5i −0.169687 + 0.157447i −0.760445 0.649402i \(-0.775019\pi\)
0.590758 + 0.806849i \(0.298829\pi\)
\(90\) −18822.1 + 23602.2i −0.244941 + 0.307147i
\(91\) 12964.1 + 16560.5i 0.164111 + 0.209638i
\(92\) 44058.8 + 55248.0i 0.542704 + 0.680530i
\(93\) 48995.5 + 7384.89i 0.587420 + 0.0885394i
\(94\) −30157.7 + 20561.2i −0.352029 + 0.240009i
\(95\) 12865.7 + 32781.3i 0.146260 + 0.372664i
\(96\) 59141.2 18242.6i 0.654956 0.202027i
\(97\) −39205.5 −0.423075 −0.211537 0.977370i \(-0.567847\pi\)
−0.211537 + 0.977370i \(0.567847\pi\)
\(98\) 26797.1 + 48408.9i 0.281853 + 0.509167i
\(99\) −102115. −1.04713
\(100\) −31246.1 + 9638.15i −0.312461 + 0.0963815i
\(101\) −42658.1 108691.i −0.416100 1.06021i −0.973241 0.229788i \(-0.926197\pi\)
0.557141 0.830418i \(-0.311898\pi\)
\(102\) 46300.6 31567.2i 0.440642 0.300425i
\(103\) 38732.0 + 5837.91i 0.359730 + 0.0542206i 0.326421 0.945225i \(-0.394157\pi\)
0.0333091 + 0.999445i \(0.489395\pi\)
\(104\) −17702.3 22198.0i −0.160489 0.201247i
\(105\) 82901.9 + 40848.1i 0.733823 + 0.361575i
\(106\) 18735.9 23494.1i 0.161961 0.203092i
\(107\) −149321. + 138549.i −1.26084 + 1.16989i −0.283325 + 0.959024i \(0.591438\pi\)
−0.977515 + 0.210865i \(0.932372\pi\)
\(108\) 82333.6 12409.8i 0.679231 0.102378i
\(109\) −39169.7 36344.2i −0.315780 0.293001i 0.506318 0.862347i \(-0.331006\pi\)
−0.822098 + 0.569346i \(0.807197\pi\)
\(110\) 141463. + 96448.1i 1.11471 + 0.759997i
\(111\) 14204.0 62231.7i 0.109421 0.479407i
\(112\) 6444.66 + 11398.5i 0.0485462 + 0.0858627i
\(113\) 6835.82 + 29949.7i 0.0503610 + 0.220646i 0.993846 0.110769i \(-0.0353313\pi\)
−0.943485 + 0.331415i \(0.892474\pi\)
\(114\) −6465.39 + 16473.6i −0.0465943 + 0.118720i
\(115\) 17053.4 227562.i 0.120245 1.60456i
\(116\) −45138.3 + 78181.9i −0.311459 + 0.539463i
\(117\) −10884.0 18851.6i −0.0735060 0.127316i
\(118\) −113035. + 54434.7i −0.747320 + 0.359891i
\(119\) 153769. + 145278.i 0.995406 + 0.940441i
\(120\) −112410. 54133.7i −0.712608 0.343174i
\(121\) 31244.4 + 416927.i 0.194003 + 2.58879i
\(122\) 129390. + 39911.5i 0.787046 + 0.242772i
\(123\) 13411.6 + 4136.93i 0.0799315 + 0.0246556i
\(124\) −7511.62 100236.i −0.0438712 0.585420i
\(125\) −97271.3 46843.4i −0.556813 0.268147i
\(126\) −20441.2 53496.4i −0.114704 0.300191i
\(127\) 108796. 52393.5i 0.598555 0.288249i −0.109969 0.993935i \(-0.535075\pi\)
0.708525 + 0.705686i \(0.249361\pi\)
\(128\) −68097.2 117948.i −0.367371 0.636305i
\(129\) −55216.9 + 95638.4i −0.292144 + 0.506009i
\(130\) −2727.48 + 36395.7i −0.0141548 + 0.188883i
\(131\) 97649.5 248807.i 0.497155 1.26673i −0.433606 0.901102i \(-0.642759\pi\)
0.930761 0.365628i \(-0.119146\pi\)
\(132\) −37382.6 163784.i −0.186739 0.818156i
\(133\) −65967.2 10552.0i −0.323370 0.0517254i
\(134\) 11941.7 52320.2i 0.0574520 0.251714i
\(135\) −222164. 151469.i −1.04915 0.715301i
\(136\) −209347. 194245.i −0.970551 0.900540i
\(137\) −4754.40 + 716.610i −0.0216418 + 0.00326198i −0.159854 0.987141i \(-0.551102\pi\)
0.138212 + 0.990403i \(0.455864\pi\)
\(138\) 84064.3 78000.3i 0.375763 0.348657i
\(139\) 98668.5 123726.i 0.433153 0.543157i −0.516571 0.856244i \(-0.672792\pi\)
0.949724 + 0.313087i \(0.101363\pi\)
\(140\) 43365.2 182400.i 0.186991 0.786513i
\(141\) −72109.8 90422.8i −0.305454 0.383028i
\(142\) 236310. + 35618.1i 0.983472 + 0.148235i
\(143\) −102005. + 69546.0i −0.417141 + 0.284402i
\(144\) −4951.43 12616.0i −0.0198987 0.0507010i
\(145\) 278582. 85931.0i 1.10035 0.339414i
\(146\) −94811.6 −0.368111
\(147\) −146616. + 96135.7i −0.559613 + 0.366937i
\(148\) −129492. −0.485947
\(149\) 295006. 90997.2i 1.08859 0.335786i 0.302030 0.953298i \(-0.402336\pi\)
0.786561 + 0.617512i \(0.211859\pi\)
\(150\) 19386.7 + 49396.5i 0.0703519 + 0.179254i
\(151\) 65104.3 44387.4i 0.232363 0.158423i −0.441541 0.897241i \(-0.645568\pi\)
0.673905 + 0.738818i \(0.264616\pi\)
\(152\) 89180.3 + 13441.8i 0.313083 + 0.0471897i
\(153\) −136514. 171183.i −0.471465 0.591198i
\(154\) −293894. + 138282.i −0.998593 + 0.469856i
\(155\) −202386. + 253784.i −0.676630 + 0.848467i
\(156\) 26251.9 24358.2i 0.0863673 0.0801372i
\(157\) 64780.8 9764.14i 0.209748 0.0316144i −0.0433278 0.999061i \(-0.513796\pi\)
0.253076 + 0.967447i \(0.418558\pi\)
\(158\) −165856. 153892.i −0.528554 0.490427i
\(159\) 78672.5 + 53638.0i 0.246792 + 0.168260i
\(160\) −90222.3 + 395290.i −0.278621 + 1.22072i
\(161\) 355472. + 247080.i 1.08079 + 0.751229i
\(162\) −6181.31 27082.1i −0.0185052 0.0810764i
\(163\) 22254.5 56703.5i 0.0656067 0.167163i −0.894310 0.447447i \(-0.852333\pi\)
0.959917 + 0.280284i \(0.0904286\pi\)
\(164\) 2127.73 28392.6i 0.00617742 0.0824319i
\(165\) −271257. + 469831.i −0.775660 + 1.34348i
\(166\) −199536. 345607.i −0.562020 0.973447i
\(167\) 452902. 218106.i 1.25665 0.605169i 0.317361 0.948305i \(-0.397203\pi\)
0.939286 + 0.343136i \(0.111489\pi\)
\(168\) 196753. 131562.i 0.537834 0.359630i
\(169\) 310812. + 149679.i 0.837108 + 0.403130i
\(170\) 27434.3 + 366085.i 0.0728066 + 0.971537i
\(171\) 66073.6 + 20381.0i 0.172798 + 0.0533010i
\(172\) 214077. + 66033.9i 0.551757 + 0.170195i
\(173\) 16139.1 + 215361.i 0.0409981 + 0.547082i 0.979452 + 0.201677i \(0.0646392\pi\)
−0.938454 + 0.345404i \(0.887742\pi\)
\(174\) 131995. + 63565.7i 0.330511 + 0.159166i
\(175\) −166522. + 111348.i −0.411034 + 0.274843i
\(176\) −69253.4 + 33350.7i −0.168523 + 0.0811565i
\(177\) −198767. 344275.i −0.476883 0.825985i
\(178\) 28473.3 49317.1i 0.0673577 0.116667i
\(179\) 8945.99 119376.i 0.0208687 0.278474i −0.977001 0.213235i \(-0.931600\pi\)
0.997870 0.0652388i \(-0.0207809\pi\)
\(180\) −70894.7 + 180637.i −0.163092 + 0.415552i
\(181\) 3637.91 + 15938.7i 0.00825383 + 0.0361624i 0.978887 0.204401i \(-0.0655248\pi\)
−0.970633 + 0.240564i \(0.922668\pi\)
\(182\) −56853.3 39517.3i −0.127226 0.0884318i
\(183\) −95472.8 + 418293.i −0.210742 + 0.923322i
\(184\) −482873. 329217.i −1.05145 0.716866i
\(185\) 306542. + 284430.i 0.658508 + 0.611006i
\(186\) −161300. + 24312.0i −0.341862 + 0.0515275i
\(187\) −910296. + 844631.i −1.90361 + 1.76629i
\(188\) −146284. + 183435.i −0.301858 + 0.378519i
\(189\) 461551. 217168.i 0.939864 0.442223i
\(190\) −72284.1 90641.4i −0.145264 0.182156i
\(191\) 135072. + 20358.8i 0.267905 + 0.0403802i 0.281621 0.959526i \(-0.409128\pi\)
−0.0137159 + 0.999906i \(0.504366\pi\)
\(192\) −140491. + 95785.1i −0.275040 + 0.187519i
\(193\) 220267. + 561232.i 0.425654 + 1.08455i 0.969441 + 0.245325i \(0.0788947\pi\)
−0.543787 + 0.839223i \(0.683010\pi\)
\(194\) 123335. 38043.9i 0.235279 0.0725740i
\(195\) −115648. −0.217797
\(196\) 256319. + 246576.i 0.476585 + 0.458470i
\(197\) 532428. 0.977451 0.488726 0.872438i \(-0.337462\pi\)
0.488726 + 0.872438i \(0.337462\pi\)
\(198\) 321241. 99089.7i 0.582328 0.179624i
\(199\) −363645. 926552.i −0.650946 1.65858i −0.748322 0.663335i \(-0.769140\pi\)
0.0973763 0.995248i \(-0.468955\pi\)
\(200\) 223440. 152339.i 0.394990 0.269300i
\(201\) 168148. + 25344.2i 0.293563 + 0.0442475i
\(202\) 239668. + 300534.i 0.413268 + 0.518221i
\(203\) −127921. + 538056.i −0.217873 + 0.916405i
\(204\) 224588. 281624.i 0.377843 0.473800i
\(205\) −67401.4 + 62539.3i −0.112017 + 0.103937i
\(206\) −127511. + 19219.2i −0.209353 + 0.0315549i
\(207\) −328458. 304764.i −0.532787 0.494354i
\(208\) −13538.3 9230.27i −0.0216973 0.0147930i
\(209\) 87263.9 382328.i 0.138188 0.605439i
\(210\) −300437. 48057.1i −0.470116 0.0751986i
\(211\) −235640. 1.03241e6i −0.364370 1.59641i −0.741966 0.670438i \(-0.766106\pi\)
0.377596 0.925971i \(-0.376751\pi\)
\(212\) 70570.0 179809.i 0.107840 0.274772i
\(213\) −56588.6 + 755122.i −0.0854633 + 1.14043i
\(214\) 335299. 580755.i 0.500493 0.866879i
\(215\) −361733. 626540.i −0.533694 0.924385i
\(216\) −620424. + 298780.i −0.904803 + 0.435730i
\(217\) −219796. 575223.i −0.316862 0.829253i
\(218\) 158490. + 76324.9i 0.225872 + 0.108774i
\(219\) −22450.7 299583.i −0.0316315 0.422092i
\(220\) 1.05167e6 + 324397.i 1.46495 + 0.451876i
\(221\) −252953. 78025.6i −0.348385 0.107462i
\(222\) 15704.1 + 209556.i 0.0213860 + 0.285376i
\(223\) 410069. + 197479.i 0.552198 + 0.265924i 0.689108 0.724659i \(-0.258003\pi\)
−0.136910 + 0.990584i \(0.543717\pi\)
\(224\) −559102. 528229.i −0.744510 0.703399i
\(225\) 186803. 89959.4i 0.245995 0.118465i
\(226\) −50567.0 87584.6i −0.0658561 0.114066i
\(227\) −453661. + 785763.i −0.584341 + 1.01211i 0.410616 + 0.911808i \(0.365314\pi\)
−0.994957 + 0.100300i \(0.968020\pi\)
\(228\) −8500.97 + 113438.i −0.0108301 + 0.144517i
\(229\) 1882.54 4796.64i 0.00237223 0.00604434i −0.929683 0.368361i \(-0.879919\pi\)
0.932055 + 0.362317i \(0.118014\pi\)
\(230\) 167172. + 732430.i 0.208375 + 0.912949i
\(231\) −506533. 895895.i −0.624565 1.10466i
\(232\) 166139. 727900.i 0.202652 0.887875i
\(233\) 503249. + 343109.i 0.607285 + 0.414040i 0.827544 0.561401i \(-0.189738\pi\)
−0.220258 + 0.975442i \(0.570690\pi\)
\(234\) 52532.7 + 48743.2i 0.0627177 + 0.0581935i
\(235\) 749210. 112925.i 0.884981 0.133389i
\(236\) −591171. + 548527.i −0.690928 + 0.641088i
\(237\) 446992. 560510.i 0.516926 0.648205i
\(238\) −624710. 307812.i −0.714885 0.352244i
\(239\) 619037. + 776248.i 0.701006 + 0.879034i 0.997098 0.0761256i \(-0.0242550\pi\)
−0.296092 + 0.955159i \(0.595684\pi\)
\(240\) −71199.3 10731.6i −0.0797898 0.0120264i
\(241\) 623430. 425047.i 0.691425 0.471405i −0.165926 0.986138i \(-0.553061\pi\)
0.857351 + 0.514733i \(0.172109\pi\)
\(242\) −502866. 1.28128e6i −0.551968 1.40639i
\(243\) −829522. + 255874.i −0.901182 + 0.277978i
\(244\) 870387. 0.935918
\(245\) −65170.7 1.14672e6i −0.0693645 1.22051i
\(246\) −46205.6 −0.0486807
\(247\) 79883.2 24640.7i 0.0833131 0.0256987i
\(248\) 303711. + 773843.i 0.313568 + 0.798957i
\(249\) 1.04479e6 712327.i 1.06790 0.728084i
\(250\) 351459. + 52973.9i 0.355651 + 0.0536058i
\(251\) −459784. 576551.i −0.460648 0.577635i 0.496205 0.868205i \(-0.334726\pi\)
−0.956854 + 0.290571i \(0.906155\pi\)
\(252\) −226918. 289868.i −0.225096 0.287540i
\(253\) −1.58443e6 + 1.98681e6i −1.55622 + 1.95144i
\(254\) −291418. + 270396.i −0.283421 + 0.262976i
\(255\) −1.15025e6 + 173372.i −1.10775 + 0.166966i
\(256\) 711043. + 659752.i 0.678104 + 0.629188i
\(257\) −901597. 614698.i −0.851490 0.580536i 0.0570325 0.998372i \(-0.481836\pi\)
−0.908522 + 0.417836i \(0.862789\pi\)
\(258\) 80900.3 354447.i 0.0756660 0.331514i
\(259\) −760127. + 226985.i −0.704104 + 0.210255i
\(260\) 52205.2 + 228726.i 0.0478939 + 0.209837i
\(261\) 209129. 532853.i 0.190026 0.484179i
\(262\) −65757.4 + 877471.i −0.0591822 + 0.789732i
\(263\) 189814. 328767.i 0.169215 0.293088i −0.768929 0.639334i \(-0.779210\pi\)
0.938144 + 0.346245i \(0.112544\pi\)
\(264\) 694692. + 1.20324e6i 0.613454 + 1.06253i
\(265\) −562010. + 270650.i −0.491620 + 0.236752i
\(266\) 217764. 30817.7i 0.188704 0.0267052i
\(267\) 162573. + 78291.2i 0.139563 + 0.0672102i
\(268\) −25779.1 343999.i −0.0219246 0.292563i
\(269\) −143779. 44349.8i −0.121147 0.0373690i 0.233589 0.972335i \(-0.424953\pi\)
−0.354736 + 0.934967i \(0.615429\pi\)
\(270\) 845881. + 260920.i 0.706154 + 0.217820i
\(271\) −73950.9 986807.i −0.0611675 0.816223i −0.940452 0.339926i \(-0.889598\pi\)
0.879285 0.476297i \(-0.158021\pi\)
\(272\) −148491. 71509.5i −0.121696 0.0586059i
\(273\) 111403. 189001.i 0.0904673 0.153482i
\(274\) 14261.4 6867.91i 0.0114758 0.00552647i
\(275\) −587953. 1.01837e6i −0.468825 0.812029i
\(276\) 368573. 638387.i 0.291240 0.504442i
\(277\) −61682.3 + 823094.i −0.0483016 + 0.644540i 0.919543 + 0.392990i \(0.128559\pi\)
−0.967844 + 0.251550i \(0.919060\pi\)
\(278\) −190338. + 484973.i −0.147711 + 0.376362i
\(279\) 141824. + 621372.i 0.109079 + 0.477905i
\(280\) 101931. + 1.54721e6i 0.0776983 + 1.17938i
\(281\) −241935. + 1.05999e6i −0.182782 + 0.800819i 0.797517 + 0.603297i \(0.206147\pi\)
−0.980298 + 0.197522i \(0.936711\pi\)
\(282\) 314592. + 214485.i 0.235573 + 0.160611i
\(283\) −702483. 651809.i −0.521398 0.483787i 0.375007 0.927022i \(-0.377640\pi\)
−0.896405 + 0.443235i \(0.853831\pi\)
\(284\) 1.51900e6 228953.i 1.11754 0.168442i
\(285\) 269290. 249865.i 0.196385 0.182219i
\(286\) 253410. 317766.i 0.183193 0.229717i
\(287\) −37279.1 170396.i −0.0267153 0.122111i
\(288\) 496364. + 622421.i 0.352630 + 0.442184i
\(289\) −1.22887e6 185222.i −0.865488 0.130451i
\(290\) −792997. + 540656.i −0.553703 + 0.377508i
\(291\) 149415. + 380704.i 0.103434 + 0.263545i
\(292\) −582373. + 179638.i −0.399709 + 0.123294i
\(293\) 1.71108e6 1.16440 0.582200 0.813046i \(-0.302192\pi\)
0.582200 + 0.813046i \(0.302192\pi\)
\(294\) 367948. 444703.i 0.248266 0.300056i
\(295\) 2.60430e6 1.74235
\(296\) 1.02336e6 315666.i 0.678893 0.209411i
\(297\) 1.09394e6 + 2.78732e6i 0.719620 + 1.83356i
\(298\) −839750. + 572532.i −0.547784 + 0.373473i
\(299\) −535666. 80738.7i −0.346510 0.0522280i
\(300\) 212673. + 266683.i 0.136430 + 0.171077i
\(301\) 1.37240e6 + 12371.5i 0.873098 + 0.00787056i
\(302\) −161738. + 202813.i −0.102045 + 0.127961i
\(303\) −892869. + 828461.i −0.558703 + 0.518401i
\(304\) 51466.9 7757.39i 0.0319407 0.00481428i
\(305\) −2.06044e6 1.91181e6i −1.26827 1.17678i
\(306\) 595568. + 406051.i 0.363603 + 0.247901i
\(307\) 217619. 953453.i 0.131781 0.577369i −0.865316 0.501226i \(-0.832882\pi\)
0.997097 0.0761426i \(-0.0242604\pi\)
\(308\) −1.54322e6 + 1.40623e6i −0.926939 + 0.844653i
\(309\) −90921.9 398355.i −0.0541717 0.237342i
\(310\) 390415. 994762.i 0.230740 0.587916i
\(311\) 32681.9 436110.i 0.0191605 0.255679i −0.979395 0.201953i \(-0.935271\pi\)
0.998556 0.0537259i \(-0.0171097\pi\)
\(312\) −148088. + 256496.i −0.0861258 + 0.149174i
\(313\) 247192. + 428148.i 0.142618 + 0.247021i 0.928482 0.371379i \(-0.121115\pi\)
−0.785864 + 0.618399i \(0.787781\pi\)
\(314\) −194317. + 93578.3i −0.111221 + 0.0535613i
\(315\) −99521.1 + 1.18462e6i −0.0565118 + 0.672672i
\(316\) −1.31034e6 631026.i −0.738186 0.355492i
\(317\) −186454. 2.48806e6i −0.104213 1.39063i −0.766915 0.641748i \(-0.778209\pi\)
0.662702 0.748883i \(-0.269410\pi\)
\(318\) −299543. 92396.7i −0.166108 0.0512376i
\(319\) −3.10227e6 956925.i −1.70688 0.526503i
\(320\) −83244.4 1.11082e6i −0.0454444 0.606413i
\(321\) 1.91445e6 + 921952.i 1.03701 + 0.499397i
\(322\) −1.35803e6 432341.i −0.729910 0.232373i
\(323\) 757587. 364835.i 0.404042 0.194576i
\(324\) −89280.4 154638.i −0.0472491 0.0818378i
\(325\) 125335. 217086.i 0.0658207 0.114005i
\(326\) −14986.2 + 199977.i −0.00780994 + 0.104216i
\(327\) −203640. + 518867.i −0.105316 + 0.268341i
\(328\) 52398.1 + 229571.i 0.0268925 + 0.117824i
\(329\) −537159. + 1.33320e6i −0.273598 + 0.679054i
\(330\) 397429. 1.74125e6i 0.200898 0.880190i
\(331\) 2.20771e6 + 1.50519e6i 1.10757 + 0.755130i 0.971846 0.235616i \(-0.0757108\pi\)
0.135727 + 0.990746i \(0.456663\pi\)
\(332\) −1.88046e6 1.74481e6i −0.936306 0.868765i
\(333\) 811906. 122375.i 0.401232 0.0604760i
\(334\) −1.21313e6 + 1.12562e6i −0.595032 + 0.552109i
\(335\) −694569. + 870962.i −0.338145 + 0.424021i
\(336\) 86124.2 106022.i 0.0416176 0.0512325i
\(337\) 1.52757e6 + 1.91551e6i 0.732699 + 0.918775i 0.998982 0.0451196i \(-0.0143669\pi\)
−0.266283 + 0.963895i \(0.585795\pi\)
\(338\) −1.12302e6 169268.i −0.534682 0.0805904i
\(339\) 264774. 180520.i 0.125134 0.0853150i
\(340\) 862129. + 2.19667e6i 0.404460 + 1.03055i
\(341\) 3.45416e6 1.06547e6i 1.60863 0.496197i
\(342\) −227636. −0.105239
\(343\) 1.93683e6 + 998121.i 0.888907 + 0.458087i
\(344\) −1.85280e6 −0.844176
\(345\) −2.27473e6 + 701662.i −1.02892 + 0.317380i
\(346\) −259752. 661838.i −0.116646 0.297209i
\(347\) −350341. + 238858.i −0.156195 + 0.106492i −0.638895 0.769294i \(-0.720608\pi\)
0.482700 + 0.875786i \(0.339656\pi\)
\(348\) 931210. + 140357.i 0.412192 + 0.0621279i
\(349\) −1.28948e6 1.61696e6i −0.566699 0.710618i 0.413081 0.910694i \(-0.364453\pi\)
−0.979780 + 0.200076i \(0.935881\pi\)
\(350\) 415809. 511874.i 0.181436 0.223354i
\(351\) −397972. + 499042.i −0.172419 + 0.216207i
\(352\) 3.30983e6 3.07107e6i 1.42380 1.32109i
\(353\) −2.69006e6 + 405461.i −1.14901 + 0.173186i −0.695813 0.718223i \(-0.744956\pi\)
−0.453200 + 0.891409i \(0.649718\pi\)
\(354\) 959371. + 890166.i 0.406891 + 0.377540i
\(355\) −4.09879e6 2.79451e6i −1.72617 1.17689i
\(356\) 81454.4 356875.i 0.0340635 0.149242i
\(357\) 824692. 2.04683e6i 0.342469 0.849986i
\(358\) 87696.2 + 384222.i 0.0361637 + 0.158444i
\(359\) −1.15659e6 + 2.94695e6i −0.473636 + 1.20681i 0.472006 + 0.881596i \(0.343530\pi\)
−0.945642 + 0.325210i \(0.894565\pi\)
\(360\) 119932. 1.60038e6i 0.0487729 0.650829i
\(361\) 1.10528e6 1.91440e6i 0.446378 0.773150i
\(362\) −26910.9 46611.1i −0.0107934 0.0186947i
\(363\) 3.92949e6 1.89234e6i 1.56520 0.753760i
\(364\) −424090. 135013.i −0.167766 0.0534099i
\(365\) 1.77321e6 + 853933.i 0.696672 + 0.335499i
\(366\) −105556. 1.40854e6i −0.0411888 0.549626i
\(367\) 308402. + 95129.3i 0.119523 + 0.0368680i 0.353940 0.935268i \(-0.384842\pi\)
−0.234417 + 0.972136i \(0.575318\pi\)
\(368\) −322293. 99414.1i −0.124060 0.0382674i
\(369\) 13491.4 + 180030.i 0.00515812 + 0.0688304i
\(370\) −1.24035e6 597319.i −0.471019 0.226831i
\(371\) 99065.2 1.17919e6i 0.0373669 0.444786i
\(372\) −944709. + 454948.i −0.353949 + 0.170453i
\(373\) 689067. + 1.19350e6i 0.256442 + 0.444171i 0.965286 0.261194i \(-0.0841163\pi\)
−0.708844 + 0.705365i \(0.750783\pi\)
\(374\) 2.04407e6 3.54043e6i 0.755643 1.30881i
\(375\) −84162.9 + 1.12308e6i −0.0309060 + 0.412411i
\(376\) 708910. 1.80627e6i 0.258596 0.658891i
\(377\) −153998. 674710.i −0.0558036 0.244491i
\(378\) −1.24125e6 + 1.13106e6i −0.446816 + 0.407151i
\(379\) −294801. + 1.29161e6i −0.105422 + 0.461883i 0.894469 + 0.447129i \(0.147554\pi\)
−0.999891 + 0.0147539i \(0.995304\pi\)
\(380\) −615737. 419802.i −0.218744 0.149137i
\(381\) −923397. 856787.i −0.325894 0.302385i
\(382\) −444674. + 67023.8i −0.155913 + 0.0235002i
\(383\) −635382. + 589549.i −0.221329 + 0.205363i −0.783042 0.621969i \(-0.786333\pi\)
0.561713 + 0.827332i \(0.310143\pi\)
\(384\) −885806. + 1.11077e6i −0.306557 + 0.384410i
\(385\) 6.74200e6 + 60775.9i 2.31812 + 0.0208968i
\(386\) −1.23754e6 1.55182e6i −0.422756 0.530119i
\(387\) −1.40465e6 211717.i −0.476751 0.0718586i
\(388\) 685497. 467364.i 0.231167 0.157607i
\(389\) −939604. 2.39407e6i −0.314826 0.802164i −0.997448 0.0713926i \(-0.977256\pi\)
0.682622 0.730772i \(-0.260840\pi\)
\(390\) 363815. 112222.i 0.121121 0.0373608i
\(391\) −5.44883e6 −1.80244
\(392\) −2.62675e6 1.32384e6i −0.863385 0.435130i
\(393\) −2.78818e6 −0.910626
\(394\) −1.67495e6 + 516654.i −0.543577 + 0.167671i
\(395\) 1.71587e6 + 4.37197e6i 0.553341 + 1.40989i
\(396\) 1.78545e6 1.21730e6i 0.572151 0.390086i
\(397\) 4.53441e6 + 683452.i 1.44392 + 0.217637i 0.823806 0.566871i \(-0.191846\pi\)
0.620119 + 0.784508i \(0.287084\pi\)
\(398\) 2.04308e6 + 2.56194e6i 0.646514 + 0.810703i
\(399\) 148942. + 680788.i 0.0468365 + 0.214082i
\(400\) 97307.1 122019.i 0.0304085 0.0381310i
\(401\) −1.33511e6 + 1.23880e6i −0.414625 + 0.384716i −0.859718 0.510769i \(-0.829361\pi\)
0.445093 + 0.895484i \(0.353170\pi\)
\(402\) −553565. + 83436.5i −0.170845 + 0.0257508i
\(403\) 564861. + 524114.i 0.173252 + 0.160755i
\(404\) 2.04156e6 + 1.39191e6i 0.622313 + 0.424286i
\(405\) −128313. + 562175.i −0.0388716 + 0.170308i
\(406\) −119691. 1.81679e6i −0.0360368 0.547002i
\(407\) −1.03623e6 4.54000e6i −0.310076 1.35853i
\(408\) −1.08838e6 + 2.77314e6i −0.323690 + 0.824748i
\(409\) −94081.8 + 1.25543e6i −0.0278098 + 0.371096i 0.965885 + 0.258973i \(0.0833840\pi\)
−0.993694 + 0.112123i \(0.964235\pi\)
\(410\) 151350. 262145.i 0.0444653 0.0770162i
\(411\) 25078.0 + 43436.4i 0.00732300 + 0.0126838i
\(412\) −746812. + 359646.i −0.216755 + 0.104384i
\(413\) −2.50871e6 + 4.25615e6i −0.723728 + 1.22784i
\(414\) 1.32902e6 + 640023.i 0.381093 + 0.183525i
\(415\) 619066. + 8.26086e6i 0.176448 + 2.35453i
\(416\) 919735. + 283701.i 0.260573 + 0.0803761i
\(417\) −1.57748e6 486587.i −0.444245 0.137032i
\(418\) 96479.9 + 1.28743e6i 0.0270082 + 0.360400i
\(419\) 2.51682e6 + 1.21204e6i 0.700353 + 0.337272i 0.749947 0.661497i \(-0.230079\pi\)
−0.0495949 + 0.998769i \(0.515793\pi\)
\(420\) −1.93646e6 + 274046.i −0.535656 + 0.0758055i
\(421\) −2.92715e6 + 1.40964e6i −0.804895 + 0.387617i −0.790640 0.612281i \(-0.790252\pi\)
−0.0142551 + 0.999898i \(0.504538\pi\)
\(422\) 1.74311e6 + 3.01916e6i 0.476479 + 0.825286i
\(423\) 743841. 1.28837e6i 0.202129 0.350098i
\(424\) −119383. + 1.59305e6i −0.0322497 + 0.430343i
\(425\) 921150. 2.34705e6i 0.247376 0.630304i
\(426\) −554730. 2.43043e6i −0.148101 0.648872i
\(427\) 5.10923e6 1.52569e6i 1.35608 0.404946i
\(428\) 959201. 4.20253e6i 0.253105 1.10892i
\(429\) 1.06408e6 + 725474.i 0.279145 + 0.190318i
\(430\) 1.74595e6 + 1.62000e6i 0.455365 + 0.422517i
\(431\) −1.82910e6 + 275692.i −0.474290 + 0.0714877i −0.381838 0.924229i \(-0.624709\pi\)
−0.0924524 + 0.995717i \(0.529471\pi\)
\(432\) −291322. + 270307.i −0.0751041 + 0.0696864i
\(433\) −4.51323e6 + 5.65941e6i −1.15683 + 1.45061i −0.286539 + 0.958069i \(0.592505\pi\)
−0.870287 + 0.492545i \(0.836067\pi\)
\(434\) 1.24963e6 + 1.59630e6i 0.318462 + 0.406808i
\(435\) −1.89613e6 2.37767e6i −0.480446 0.602460i
\(436\) 1.11813e6 + 168531.i 0.281692 + 0.0424583i
\(437\) 1.42175e6 969335.i 0.356140 0.242812i
\(438\) 361335. + 920666.i 0.0899963 + 0.229307i
\(439\) 4.50400e6 1.38930e6i 1.11542 0.344061i 0.318363 0.947969i \(-0.396867\pi\)
0.797054 + 0.603908i \(0.206391\pi\)
\(440\) −9.10204e6 −2.24134
\(441\) −1.84013e6 1.30378e6i −0.450559 0.319234i
\(442\) 871472. 0.212177
\(443\) 6.06623e6 1.87118e6i 1.46862 0.453010i 0.545694 0.837985i \(-0.316266\pi\)
0.922927 + 0.384975i \(0.125790\pi\)
\(444\) 493505. + 1.25743e6i 0.118805 + 0.302710i
\(445\) −976702. + 665904.i −0.233809 + 0.159409i
\(446\) −1.48165e6 223323.i −0.352703 0.0531614i
\(447\) −2.00792e6 2.51785e6i −0.475310 0.596020i
\(448\) 1.89557e6 + 934003.i 0.446217 + 0.219863i
\(449\) 1.69491e6 2.12535e6i 0.396763 0.497526i −0.542818 0.839850i \(-0.682643\pi\)
0.939582 + 0.342325i \(0.111214\pi\)
\(450\) −500363. + 464269.i −0.116481 + 0.108078i
\(451\) 1.01247e6 152606.i 0.234392 0.0353289i
\(452\) −476550. 442173.i −0.109714 0.101800i
\(453\) −679141. 463030.i −0.155494 0.106014i
\(454\) 664675. 2.91213e6i 0.151346 0.663088i
\(455\) 707379. + 1.25113e6i 0.160186 + 0.283317i
\(456\) −209347. 917211.i −0.0471472 0.206565i
\(457\) −721914. + 1.83941e6i −0.161694 + 0.411991i −0.988642 0.150288i \(-0.951980\pi\)
0.826948 + 0.562279i \(0.190075\pi\)
\(458\) −1267.71 + 16916.4i −0.000282394 + 0.00376829i
\(459\) −3.21014e6 + 5.56013e6i −0.711202 + 1.23184i
\(460\) 2.41457e6 + 4.18216e6i 0.532042 + 0.921523i
\(461\) 4.65953e6 2.24391e6i 1.02115 0.491760i 0.153086 0.988213i \(-0.451079\pi\)
0.868064 + 0.496453i \(0.165364\pi\)
\(462\) 2.46284e6 + 2.32685e6i 0.536823 + 0.507181i
\(463\) 1.10851e6 + 533828.i 0.240317 + 0.115731i 0.550167 0.835055i \(-0.314564\pi\)
−0.309849 + 0.950786i \(0.600279\pi\)
\(464\) −32199.9 429678.i −0.00694320 0.0926505i
\(465\) 3.23567e6 + 998073.i 0.693957 + 0.214057i
\(466\) −1.91610e6 591039.i −0.408746 0.126081i
\(467\) −102663. 1.36995e6i −0.0217833 0.290677i −0.997447 0.0714065i \(-0.977251\pi\)
0.975664 0.219271i \(-0.0703678\pi\)
\(468\) 415031. + 199869.i 0.0875924 + 0.0421823i
\(469\) −754316. 1.97411e6i −0.158351 0.414418i
\(470\) −2.24734e6 + 1.08226e6i −0.469271 + 0.225989i
\(471\) −341700. 591841.i −0.0709728 0.122929i
\(472\) 3.33482e6 5.77608e6i 0.688997 1.19338i
\(473\) −602063. + 8.03397e6i −0.123734 + 1.65112i
\(474\) −862275. + 2.19704e6i −0.176279 + 0.449151i
\(475\) 177182. + 776283.i 0.0360317 + 0.157865i
\(476\) −4.42045e6 707084.i −0.894229 0.143039i
\(477\) −272542. + 1.19408e6i −0.0548451 + 0.240292i
\(478\) −2.70066e6 1.84128e6i −0.540630 0.368596i
\(479\) −6.83369e6 6.34074e6i −1.36087 1.26270i −0.933477 0.358637i \(-0.883242\pi\)
−0.427393 0.904066i \(-0.640568\pi\)
\(480\) 4.18230e6 630380.i 0.828537 0.124882i
\(481\) 727690. 675197.i 0.143411 0.133066i
\(482\) −1.54878e6 + 1.94210e6i −0.303648 + 0.380763i
\(483\) 1.04453e6 4.39344e6i 0.203729 0.856914i
\(484\) −5.51645e6 6.91741e6i −1.07040 1.34224i
\(485\) −2.64932e6 399321.i −0.511424 0.0770847i
\(486\) 2.36128e6 1.60989e6i 0.453478 0.309176i
\(487\) −730420. 1.86108e6i −0.139556 0.355584i 0.843959 0.536408i \(-0.180219\pi\)
−0.983516 + 0.180823i \(0.942124\pi\)
\(488\) −6.87860e6 + 2.12177e6i −1.30753 + 0.403318i
\(489\) −635431. −0.120170
\(490\) 1.31776e6 + 3.54419e6i 0.247940 + 0.666848i
\(491\) 6.69736e6 1.25372 0.626859 0.779133i \(-0.284340\pi\)
0.626859 + 0.779133i \(0.284340\pi\)
\(492\) −283815. + 87545.2i −0.0528594 + 0.0163050i
\(493\) −2.54316e6 6.47987e6i −0.471256 1.20074i
\(494\) −227392. + 155033.i −0.0419235 + 0.0285829i
\(495\) −6.90046e6 1.04008e6i −1.26580 0.190789i
\(496\) 299124. + 375089.i 0.0545942 + 0.0684590i
\(497\) 8.51534e6 4.00662e6i 1.54636 0.727590i
\(498\) −2.59556e6 + 3.25473e6i −0.468984 + 0.588087i
\(499\) 2.72488e6 2.52831e6i 0.489886 0.454548i −0.396135 0.918192i \(-0.629649\pi\)
0.886021 + 0.463644i \(0.153458\pi\)
\(500\) 2.25918e6 340517.i 0.404134 0.0609134i
\(501\) −3.84396e6 3.56668e6i −0.684203 0.634847i
\(502\) 2.00589e6 + 1.36759e6i 0.355261 + 0.242213i
\(503\) −29098.3 + 127488.i −0.00512799 + 0.0224672i −0.977427 0.211273i \(-0.932239\pi\)
0.972299 + 0.233740i \(0.0750964\pi\)
\(504\) 2.49993e6 + 1.73764e6i 0.438381 + 0.304708i
\(505\) −1.77558e6 7.77933e6i −0.309822 1.35742i
\(506\) 3.05647e6 7.78776e6i 0.530694 1.35219i
\(507\) 268927. 3.58858e6i 0.0464637 0.620015i
\(508\) −1.27770e6 + 2.21303e6i −0.219669 + 0.380477i
\(509\) 718406. + 1.24432e6i 0.122907 + 0.212881i 0.920913 0.389769i \(-0.127445\pi\)
−0.798006 + 0.602649i \(0.794112\pi\)
\(510\) 3.45030e6 1.66158e6i 0.587397 0.282876i
\(511\) −3.10369e6 + 2.07533e6i −0.525806 + 0.351588i
\(512\) 1.04956e6 + 505444.i 0.176943 + 0.0852114i
\(513\) −151519. 2.02187e6i −0.0254198 0.339204i
\(514\) 3.43280e6 + 1.05888e6i 0.573113 + 0.176782i
\(515\) 2.55787e6 + 788998.i 0.424972 + 0.131086i
\(516\) −174643. 2.33045e6i −0.0288753 0.385314i
\(517\) −7.60185e6 3.66086e6i −1.25081 0.602360i
\(518\) 2.17100e6 1.45167e6i 0.355497 0.237708i
\(519\) 2.02975e6 977478.i 0.330769 0.159290i
\(520\) −970145. 1.68034e6i −0.157336 0.272514i
\(521\) −1.14700e6 + 1.98666e6i −0.185127 + 0.320649i −0.943619 0.331033i \(-0.892603\pi\)
0.758492 + 0.651682i \(0.225936\pi\)
\(522\) −140828. + 1.87922e6i −0.0226211 + 0.301857i
\(523\) 2.87901e6 7.33560e6i 0.460245 1.17269i −0.492877 0.870099i \(-0.664055\pi\)
0.953122 0.302587i \(-0.0978501\pi\)
\(524\) 1.25862e6 + 5.51439e6i 0.200248 + 0.877343i
\(525\) 1.71587e6 + 1.19266e6i 0.271698 + 0.188850i
\(526\) −278103. + 1.21845e6i −0.0438270 + 0.192018i
\(527\) 6.40388e6 + 4.36609e6i 1.00442 + 0.684804i
\(528\) 587782. + 545382.i 0.0917553 + 0.0851365i
\(529\) −4.66163e6 + 702628.i −0.724267 + 0.109166i
\(530\) 1.50538e6 1.39679e6i 0.232786 0.215994i
\(531\) 3.18822e6 3.99791e6i 0.490696 0.615313i
\(532\) 1.27921e6 601890.i 0.195958 0.0922015i
\(533\) 136088. + 170649.i 0.0207492 + 0.0260187i
\(534\) −587407. 88537.4i −0.0891427 0.0134361i
\(535\) −1.15016e7 + 7.84164e6i −1.73729 + 1.18447i
\(536\) 1.04231e6 + 2.65575e6i 0.156705 + 0.399278i
\(537\) −1.19329e6 + 368082.i −0.178571 + 0.0550818i
\(538\) 495345. 0.0737823
\(539\) −6.59386e6 + 1.09597e7i −0.977615 + 1.62491i
\(540\) 5.69012e6 0.839725
\(541\) −5.02410e6 + 1.54973e6i −0.738015 + 0.227648i −0.640899 0.767625i \(-0.721438\pi\)
−0.0971166 + 0.995273i \(0.530962\pi\)
\(542\) 1.19021e6 + 3.03261e6i 0.174031 + 0.443423i
\(543\) 140908. 96069.7i 0.0205087 0.0139826i
\(544\) 9.57308e6 + 1.44291e6i 1.38693 + 0.209046i
\(545\) −2.27673e6 2.85493e6i −0.328338 0.411722i
\(546\) −167059. + 702676.i −0.0239822 + 0.100873i
\(547\) −4.33868e6 + 5.44053e6i −0.619996 + 0.777451i −0.988344 0.152237i \(-0.951352\pi\)
0.368348 + 0.929688i \(0.379924\pi\)
\(548\) 74586.8 69206.4i 0.0106099 0.00984453i
\(549\) −5.45727e6 + 822551.i −0.772760 + 0.116475i
\(550\) 2.83782e6 + 2.63311e6i 0.400017 + 0.371161i
\(551\) 1.81634e6 + 1.23836e6i 0.254869 + 0.173767i
\(552\) −1.35659e6 + 5.94360e6i −0.189496 + 0.830237i
\(553\) −8.79790e6 1.40729e6i −1.22339 0.195691i
\(554\) −604663. 2.64920e6i −0.0837027 0.366725i
\(555\) 1.59369e6 4.06066e6i 0.219620 0.559582i
\(556\) −250264. + 3.33954e6i −0.0343330 + 0.458142i
\(557\) −1.70975e6 + 2.96137e6i −0.233504 + 0.404440i −0.958837 0.283958i \(-0.908352\pi\)
0.725333 + 0.688398i \(0.241686\pi\)
\(558\) −1.04912e6 1.81714e6i −0.142640 0.247060i
\(559\) −1.54733e6 + 745157.i −0.209438 + 0.100860i
\(560\) 319402. + 835903.i 0.0430396 + 0.112638i
\(561\) 1.16710e7 + 5.62045e6i 1.56567 + 0.753988i
\(562\) −267486. 3.56935e6i −0.0357240 0.476703i
\(563\) 1.41017e7 + 4.34978e6i 1.87499 + 0.578358i 0.994558 + 0.104187i \(0.0332239\pi\)
0.880433 + 0.474171i \(0.157252\pi\)
\(564\) 2.33874e6 + 721406.i 0.309588 + 0.0954954i
\(565\) 156885. + 2.09349e6i 0.0206757 + 0.275898i
\(566\) 2.84242e6 + 1.36884e6i 0.372947 + 0.179602i
\(567\) −795145. 751238.i −0.103870 0.0981341i
\(568\) −1.14464e7 + 5.51232e6i −1.48867 + 0.716908i
\(569\) 5.96772e6 + 1.03364e7i 0.772729 + 1.33841i 0.936062 + 0.351835i \(0.114442\pi\)
−0.163332 + 0.986571i \(0.552224\pi\)
\(570\) −604691. + 1.04735e6i −0.0779554 + 0.135023i
\(571\) 566923. 7.56507e6i 0.0727669 0.971007i −0.834651 0.550779i \(-0.814331\pi\)
0.907418 0.420229i \(-0.138050\pi\)
\(572\) 954485. 2.43199e6i 0.121977 0.310793i
\(573\) −317076. 1.38920e6i −0.0403438 0.176758i
\(574\) 282623. + 499870.i 0.0358037 + 0.0633253i
\(575\) 1.14815e6 5.03038e6i 0.144820 0.634499i
\(576\) −1.80715e6 1.23209e6i −0.226954 0.154734i
\(577\) −8.77318e6 8.14032e6i −1.09703 1.01789i −0.999744 0.0226359i \(-0.992794\pi\)
−0.0972835 0.995257i \(-0.531015\pi\)
\(578\) 4.04560e6 609776.i 0.503690 0.0759191i
\(579\) 4.61037e6 4.27780e6i 0.571531 0.530303i
\(580\) −3.84655e6 + 4.82342e6i −0.474790 + 0.595368i
\(581\) −1.40969e7 6.94592e6i −1.73253 0.853669i
\(582\) −839466. 1.05266e6i −0.102730 0.128819i
\(583\) 6.86885e6 + 1.03531e6i 0.836976 + 0.126154i
\(584\) 4.16454e6 2.83934e6i 0.505283 0.344496i
\(585\) −543479. 1.38476e6i −0.0656588 0.167296i
\(586\) −5.38285e6 + 1.66039e6i −0.647543 + 0.199741i
\(587\) 1.07618e7 1.28910 0.644552 0.764561i \(-0.277044\pi\)
0.644552 + 0.764561i \(0.277044\pi\)
\(588\) 1.41752e6 3.42870e6i 0.169077 0.408965i
\(589\) −2.44767e6 −0.290714
\(590\) −8.19280e6 + 2.52715e6i −0.968953 + 0.298882i
\(591\) −2.02913e6 5.17013e6i −0.238968 0.608881i
\(592\) 510660. 348162.i 0.0598863 0.0408298i
\(593\) 890342. + 134197.i 0.103973 + 0.0156714i 0.200823 0.979628i \(-0.435639\pi\)
−0.0968497 + 0.995299i \(0.530877\pi\)
\(594\) −6.14614e6 7.70702e6i −0.714721 0.896231i
\(595\) 8.91127e6 + 1.13834e7i 1.03192 + 1.31819i
\(596\) −4.07333e6 + 5.10780e6i −0.469715 + 0.589004i
\(597\) −7.61139e6 + 7.06233e6i −0.874033 + 0.810984i
\(598\) 1.76348e6 265802.i 0.201659 0.0303953i
\(599\) −4.70138e6 4.36224e6i −0.535375 0.496756i 0.365513 0.930806i \(-0.380894\pi\)
−0.900889 + 0.434050i \(0.857084\pi\)
\(600\) −2.33083e6 1.58914e6i −0.264322 0.180212i
\(601\) 3.08910e6 1.35342e7i 0.348856 1.52844i −0.430927 0.902387i \(-0.641813\pi\)
0.779783 0.626050i \(-0.215329\pi\)
\(602\) −4.32939e6 + 1.29282e6i −0.486895 + 0.145394i
\(603\) 486726. + 2.13249e6i 0.0545119 + 0.238832i
\(604\) −609195. + 1.55220e6i −0.0679460 + 0.173124i
\(605\) −2.13520e6 + 2.84923e7i −0.237165 + 3.16474i
\(606\) 2.00494e6 3.47265e6i 0.221778 0.384131i
\(607\) 5.65084e6 + 9.78755e6i 0.622503 + 1.07821i 0.989018 + 0.147795i \(0.0472175\pi\)
−0.366515 + 0.930412i \(0.619449\pi\)
\(608\) −2.75458e6 + 1.32654e6i −0.302201 + 0.145532i
\(609\) 5.71230e6 808399.i 0.624119 0.0883247i
\(610\) 8.33705e6 + 4.01491e6i 0.907169 + 0.436869i
\(611\) −134410. 1.79358e6i −0.0145656 0.194365i
\(612\) 4.42758e6 + 1.36573e6i 0.477845 + 0.147396i
\(613\) 6.82403e6 + 2.10494e6i 0.733483 + 0.226249i 0.638924 0.769270i \(-0.279380\pi\)
0.0945587 + 0.995519i \(0.469856\pi\)
\(614\) 240602. + 3.21061e6i 0.0257560 + 0.343690i
\(615\) 864159. + 416157.i 0.0921310 + 0.0443680i
\(616\) 8.76795e6 1.48752e7i 0.930993 1.57947i
\(617\) −6.23375e6 + 3.00201e6i −0.659229 + 0.317468i −0.733420 0.679776i \(-0.762077\pi\)
0.0741907 + 0.997244i \(0.476363\pi\)
\(618\) 672582. + 1.16495e6i 0.0708393 + 0.122697i
\(619\) 7.91490e6 1.37090e7i 0.830269 1.43807i −0.0675560 0.997715i \(-0.521520\pi\)
0.897825 0.440353i \(-0.145147\pi\)
\(620\) 513334. 6.84997e6i 0.0536317 0.715665i
\(621\) −4.80009e6 + 1.22304e7i −0.499483 + 1.27266i
\(622\) 320376. + 1.40366e6i 0.0332035 + 0.145474i
\(623\) −147419. 2.23766e6i −0.0152171 0.230980i
\(624\) −38034.7 + 166641.i −0.00391038 + 0.0171325i
\(625\) −1.00857e7 6.87630e6i −1.03277 0.704133i
\(626\) −1.19310e6 1.10703e6i −0.121686 0.112908i
\(627\) −4.04516e6 + 609710.i −0.410929 + 0.0619376i
\(628\) −1.01628e6 + 942969.i −0.102829 + 0.0954110i
\(629\) 6.22547e6 7.80649e6i 0.627401 0.786736i
\(630\) −836444. 3.82324e6i −0.0839625 0.383778i
\(631\) 5.42089e6 + 6.79758e6i 0.541997 + 0.679643i 0.975116 0.221694i \(-0.0711585\pi\)
−0.433119 + 0.901337i \(0.642587\pi\)
\(632\) 1.18938e7 + 1.79270e6i 1.18448 + 0.178531i
\(633\) −9.12711e6 + 6.22276e6i −0.905365 + 0.617268i
\(634\) 3.00091e6 + 7.64618e6i 0.296503 + 0.755477i
\(635\) 7.88559e6 2.43238e6i 0.776068 0.239385i
\(636\) −2.01498e6 −0.197528
\(637\) −2.72610e6 49153.0i −0.266191 0.00479956i
\(638\) 1.06879e7 1.03954
\(639\) −9.30769e6 + 2.87104e6i −0.901758 + 0.278155i
\(640\) −3.40036e6 8.66397e6i −0.328152 0.836117i
\(641\) 1.36457e7 9.30348e6i 1.31175 0.894335i 0.313281 0.949661i \(-0.398572\pi\)
0.998468 + 0.0553252i \(0.0176196\pi\)
\(642\) −6.91726e6 1.04261e6i −0.662364 0.0998353i
\(643\) 5.32009e6 + 6.67118e6i 0.507448 + 0.636319i 0.967891 0.251370i \(-0.0808810\pi\)
−0.460443 + 0.887689i \(0.652310\pi\)
\(644\) −9.16075e6 82579.7i −0.870395 0.00784619i
\(645\) −4.70541e6 + 5.90040e6i −0.445347 + 0.558447i
\(646\) −2.02925e6 + 1.88287e6i −0.191317 + 0.177516i
\(647\) −9.56404e6 + 1.44155e6i −0.898216 + 0.135384i −0.581891 0.813267i \(-0.697687\pi\)
−0.316325 + 0.948651i \(0.602449\pi\)
\(648\) 1.08254e6 + 1.00445e6i 0.101276 + 0.0939705i
\(649\) −2.39621e7 1.63371e7i −2.23312 1.52252i
\(650\) −183632. + 804546.i −0.0170477 + 0.0746909i
\(651\) −4.74804e6 + 4.32654e6i −0.439098 + 0.400118i
\(652\) 286842. + 1.25674e6i 0.0264256 + 0.115778i
\(653\) 1.73945e6 4.43204e6i 0.159635 0.406743i −0.828569 0.559887i \(-0.810845\pi\)
0.988204 + 0.153144i \(0.0489398\pi\)
\(654\) 137132. 1.82990e6i 0.0125370 0.167295i
\(655\) 9.13289e6 1.58186e7i 0.831773 1.44067i
\(656\) 67947.6 + 117689.i 0.00616474 + 0.0106776i
\(657\) 3.48168e6 1.67669e6i 0.314684 0.151544i
\(658\) 396137. 4.71531e6i 0.0356682 0.424566i
\(659\) 1.43300e7 + 6.90095e6i 1.28538 + 0.619006i 0.946767 0.321919i \(-0.104328\pi\)
0.338613 + 0.940926i \(0.390042\pi\)
\(660\) −857947. 1.14485e7i −0.0766656 1.02303i
\(661\) 4.63083e6 + 1.42842e6i 0.412245 + 0.127161i 0.493938 0.869497i \(-0.335557\pi\)
−0.0816939 + 0.996657i \(0.526033\pi\)
\(662\) −8.40578e6 2.59284e6i −0.745475 0.229949i
\(663\) 206358. + 2.75366e6i 0.0182321 + 0.243291i
\(664\) 1.91145e7 + 9.20504e6i 1.68245 + 0.810224i
\(665\) −4.35029e6 1.38495e6i −0.381473 0.121445i
\(666\) −2.43540e6 + 1.17283e6i −0.212758 + 0.102459i
\(667\) −7.12265e6 1.23368e7i −0.619908 1.07371i
\(668\) −5.31886e6 + 9.21253e6i −0.461187 + 0.798800i
\(669\) 354807. 4.73457e6i 0.0306498 0.408993i
\(670\) 1.33987e6 3.41393e6i 0.115312 0.293810i
\(671\) 6.96505e6 + 3.05159e7i 0.597197 + 2.61649i
\(672\) −2.99857e6 + 7.44227e6i −0.256148 + 0.635744i
\(673\) −230239. + 1.00874e6i −0.0195949 + 0.0858507i −0.983780 0.179380i \(-0.942591\pi\)
0.964185 + 0.265230i \(0.0854480\pi\)
\(674\) −6.66429e6 4.54364e6i −0.565073 0.385260i
\(675\) −4.45671e6 4.13522e6i −0.376491 0.349333i
\(676\) −7.21878e6 + 1.08806e6i −0.607571 + 0.0915766i
\(677\) 9.65482e6 8.95837e6i 0.809604 0.751203i −0.162259 0.986748i \(-0.551878\pi\)
0.971863 + 0.235545i \(0.0756876\pi\)
\(678\) −657774. + 824822.i −0.0549544 + 0.0689106i
\(679\) 3.20468e6 3.94506e6i 0.266754 0.328382i
\(680\) −1.21682e7 1.52585e7i −1.00915 1.26543i
\(681\) 9.35908e6 + 1.41065e6i 0.773331 + 0.116561i
\(682\) −9.83245e6 + 6.70365e6i −0.809470 + 0.551888i
\(683\) −5.50699e6 1.40316e7i −0.451713 1.15094i −0.957538 0.288309i \(-0.906907\pi\)
0.505825 0.862636i \(-0.331188\pi\)
\(684\) −1.39824e6 + 431300.i −0.114272 + 0.0352484i
\(685\) −328579. −0.0267555
\(686\) −7.06158e6 1.26051e6i −0.572917 0.102267i
\(687\) −53752.2 −0.00434515
\(688\) −1.02177e6 + 315174.i −0.0822965 + 0.0253851i
\(689\) 540989. + 1.37842e6i 0.0434151 + 0.110620i
\(690\) 6.47514e6 4.41468e6i 0.517758 0.353001i
\(691\) −2.02188e7 3.04750e6i −1.61087 0.242800i −0.718974 0.695037i \(-0.755388\pi\)
−0.891897 + 0.452238i \(0.850626\pi\)
\(692\) −2.84949e6 3.57314e6i −0.226205 0.283652i
\(693\) 8.34695e6 1.02754e7i 0.660229 0.812762i
\(694\) 870347. 1.09138e6i 0.0685952 0.0860156i
\(695\) 7.92776e6 7.35589e6i 0.622571 0.577661i
\(696\) −7.70143e6 + 1.16080e6i −0.602627 + 0.0908313i
\(697\) 1.60937e6 + 1.49328e6i 0.125480 + 0.116428i
\(698\) 5.62561e6 + 3.83548e6i 0.437050 + 0.297976i
\(699\) 1.41383e6 6.19440e6i 0.109447 0.479520i
\(700\) 1.58424e6 3.93198e6i 0.122201 0.303296i
\(701\) −4.57171e6 2.00300e7i −0.351386 1.53952i −0.773985 0.633204i \(-0.781739\pi\)
0.422599 0.906317i \(-0.361118\pi\)
\(702\) 767714. 1.95610e6i 0.0587972 0.149813i
\(703\) −235643. + 3.14443e6i −0.0179831 + 0.239968i
\(704\) −6.20237e6 + 1.07428e7i −0.471657 + 0.816933i
\(705\) −3.95186e6 6.84482e6i −0.299453 0.518668i
\(706\) 8.06913e6 3.88589e6i 0.609277 0.293412i
\(707\) 1.44240e7 + 4.59200e6i 1.08527 + 0.345504i
\(708\) 7.57946e6 + 3.65007e6i 0.568270 + 0.273665i
\(709\) 817007. + 1.09022e7i 0.0610394 + 0.814514i 0.940771 + 0.339043i \(0.110103\pi\)
−0.879731 + 0.475471i \(0.842278\pi\)
\(710\) 1.56060e7 + 4.81381e6i 1.16184 + 0.358379i
\(711\) 8.81209e6 + 2.71817e6i 0.653740 + 0.201652i
\(712\) 226237. + 3.01892e6i 0.0167249 + 0.223178i
\(713\) 1.42904e7 + 6.88189e6i 1.05274 + 0.506972i
\(714\) −608183. + 7.23934e6i −0.0446467 + 0.531439i
\(715\) −7.60140e6 + 3.66064e6i −0.556069 + 0.267789i
\(716\) 1.26665e6 + 2.19390e6i 0.0923366 + 0.159932i
\(717\) 5.17854e6 8.96949e6i 0.376192 0.651583i
\(718\) 778853. 1.03931e7i 0.0563825 0.752372i
\(719\) −4.30766e6 + 1.09757e7i −0.310756 + 0.791793i 0.687113 + 0.726550i \(0.258878\pi\)
−0.997869 + 0.0652433i \(0.979218\pi\)
\(720\) −206096. 902965.i −0.0148162 0.0649142i
\(721\) −3.75342e6 + 3.42022e6i −0.268899 + 0.245028i
\(722\) −1.61938e6 + 7.09498e6i −0.115613 + 0.506533i
\(723\) −6.50335e6 4.43391e6i −0.462692 0.315458i
\(724\) −253612. 235318.i −0.0179814 0.0166843i
\(725\) 6.51812e6 982448.i 0.460550 0.0694168i
\(726\) −1.05254e7 + 9.76614e6i −0.741134 + 0.687672i
\(727\) −7.56275e6 + 9.48339e6i −0.530693 + 0.665469i −0.972841 0.231474i \(-0.925645\pi\)
0.442148 + 0.896942i \(0.354217\pi\)
\(728\) 3.68068e6 + 33179.5i 0.257394 + 0.00232029i
\(729\) 6.92444e6 + 8.68297e6i 0.482576 + 0.605131i
\(730\) −6.40693e6 965690.i −0.444983 0.0670703i
\(731\) −1.42729e7 + 9.73107e6i −0.987910 + 0.673546i
\(732\) −3.31712e6 8.45188e6i −0.228814 0.583009i
\(733\) −1.62899e7 + 5.02477e6i −1.11985 + 0.345427i −0.798776 0.601628i \(-0.794519\pi\)
−0.321070 + 0.947055i \(0.604043\pi\)
\(734\) −1.06250e6 −0.0727931
\(735\) −1.08868e7 + 5.00308e6i −0.743331 + 0.341601i
\(736\) 1.98119e7 1.34813
\(737\) 1.18543e7 3.65658e6i 0.803912 0.247974i
\(738\) −217139. 553261.i −0.0146756 0.0373929i
\(739\) −1.63809e7 + 1.11683e7i −1.10339 + 0.752275i −0.971037 0.238928i \(-0.923204\pi\)
−0.132348 + 0.991203i \(0.542252\pi\)
\(740\) −8.75047e6 1.31892e6i −0.587425 0.0885400i
\(741\) −543715. 681797.i −0.0363769 0.0456152i
\(742\) 832613. + 3.80573e6i 0.0555179 + 0.253763i
\(743\) −4.86017e6 + 6.09446e6i −0.322983 + 0.405008i −0.916642 0.399709i \(-0.869111\pi\)
0.593659 + 0.804716i \(0.297683\pi\)
\(744\) 6.35692e6 5.89836e6i 0.421031 0.390660i
\(745\) 2.08620e7 3.14444e6i 1.37710 0.207564i
\(746\) −3.32586e6 3.08595e6i −0.218805 0.203021i
\(747\) 1.34393e7 + 9.16273e6i 0.881198 + 0.600791i
\(748\) 5.84753e6 2.56197e7i 0.382137 1.67425i
\(749\) −1.73599e6 2.63505e7i −0.113069 1.71627i
\(750\) −825037. 3.61472e6i −0.0535575 0.234651i
\(751\) −1.88591e6 + 4.80523e6i −0.122018 + 0.310896i −0.978812 0.204763i \(-0.934358\pi\)
0.856794 + 0.515659i \(0.172453\pi\)
\(752\) 83684.9 1.11670e6i 0.00539638 0.0720097i
\(753\) −3.84631e6 + 6.66200e6i −0.247205 + 0.428171i
\(754\) 1.13918e6 + 1.97312e6i 0.0729732 + 0.126393i
\(755\) 4.85155e6 2.33638e6i 0.309751 0.149168i
\(756\) −5.48127e6 + 9.29923e6i −0.348800 + 0.591756i
\(757\) 3.59498e6 + 1.73125e6i 0.228012 + 0.109805i 0.544402 0.838824i \(-0.316757\pi\)
−0.316390 + 0.948629i \(0.602471\pi\)
\(758\) −325935. 4.34930e6i −0.0206043 0.274945i
\(759\) 2.53313e7 + 7.81368e6i 1.59608 + 0.492324i
\(760\) 5.88948e6 + 1.81667e6i 0.369865 + 0.114088i
\(761\) 1.29881e6