Properties

Label 49.6.g.a.25.7
Level $49$
Weight $6$
Character 49.25
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 25.7
Character \(\chi\) \(=\) 49.25
Dual form 49.6.g.a.2.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-5.24707 + 1.61851i) q^{2} +(7.63255 + 19.4474i) q^{3} +(-1.52748 + 1.04142i) q^{4} +(-57.8178 - 8.71463i) q^{5} +(-71.5243 - 89.6886i) q^{6} +(-83.4438 + 99.2176i) q^{7} +(115.884 - 145.314i) q^{8} +(-141.815 + 131.585i) q^{9} +O(q^{10})\) \(q+(-5.24707 + 1.61851i) q^{2} +(7.63255 + 19.4474i) q^{3} +(-1.52748 + 1.04142i) q^{4} +(-57.8178 - 8.71463i) q^{5} +(-71.5243 - 89.6886i) q^{6} +(-83.4438 + 99.2176i) q^{7} +(115.884 - 145.314i) q^{8} +(-141.815 + 131.585i) q^{9} +(317.479 - 47.8522i) q^{10} +(213.985 + 198.549i) q^{11} +(-31.9115 - 21.7569i) q^{12} +(48.9961 - 214.666i) q^{13} +(277.251 - 655.656i) q^{14} +(-271.820 - 1190.92i) q^{15} +(-351.247 + 894.964i) q^{16} +(73.8039 - 984.844i) q^{17} +(531.140 - 919.961i) q^{18} +(-1101.74 - 1908.27i) q^{19} +(97.3911 - 46.9011i) q^{20} +(-2566.41 - 865.484i) q^{21} +(-1444.15 - 695.464i) q^{22} +(62.6302 + 835.742i) q^{23} +(3710.48 + 1144.53i) q^{24} +(280.787 + 86.6114i) q^{25} +(90.3522 + 1205.67i) q^{26} +(932.518 + 449.077i) q^{27} +(24.1318 - 238.453i) q^{28} +(-1991.44 + 959.026i) q^{29} +(3353.77 + 5808.90i) q^{30} +(-895.140 + 1550.43i) q^{31} +(-49.9535 + 666.583i) q^{32} +(-2228.01 + 5676.89i) q^{33} +(1206.72 + 5287.00i) q^{34} +(5689.18 - 5009.36i) q^{35} +(79.5842 - 348.681i) q^{36} +(-3862.30 - 2633.27i) q^{37} +(8869.43 + 8229.63i) q^{38} +(4548.66 - 685.600i) q^{39} +(-7966.53 + 7391.86i) q^{40} +(-10634.9 + 13335.8i) q^{41} +(14866.9 + 387.497i) q^{42} +(-12418.7 - 15572.6i) q^{43} +(-533.630 - 80.4318i) q^{44} +(9346.11 - 6372.07i) q^{45} +(-1681.28 - 4283.83i) q^{46} +(222.748 - 68.7088i) q^{47} -20085.6 q^{48} +(-2881.25 - 16558.2i) q^{49} -1613.49 q^{50} +(19716.0 - 6081.58i) q^{51} +(148.716 + 378.923i) q^{52} +(-29294.3 + 19972.5i) q^{53} +(-5619.82 - 847.051i) q^{54} +(-10641.9 - 13344.5i) q^{55} +(4747.90 + 23623.3i) q^{56} +(28701.8 - 35990.9i) q^{57} +(8897.02 - 8255.23i) q^{58} +(27868.2 - 4200.46i) q^{59} +(1655.45 + 1536.03i) q^{60} +(25787.8 + 17581.8i) q^{61} +(2187.48 - 9583.99i) q^{62} +(-1221.96 - 25050.4i) q^{63} +(-7662.74 - 33572.6i) q^{64} +(-4703.58 + 11984.5i) q^{65} +(2502.46 - 33393.1i) q^{66} +(-20767.4 + 35970.1i) q^{67} +(912.901 + 1581.19i) q^{68} +(-15775.0 + 7596.84i) q^{69} +(-21743.9 + 35492.4i) q^{70} +(345.283 + 166.280i) q^{71} +(2687.06 + 35856.3i) q^{72} +(-58171.1 - 17943.4i) q^{73} +(24527.7 + 7565.80i) q^{74} +(458.755 + 6121.65i) q^{75} +(3670.19 + 1767.47i) q^{76} +(-37555.3 + 4663.37i) q^{77} +(-22757.5 + 10959.4i) q^{78} +(-14667.7 - 25405.3i) q^{79} +(28107.6 - 48683.8i) q^{80} +(-5128.98 + 68441.4i) q^{81} +(34218.2 - 87186.6i) q^{82} +(-22345.6 - 97902.4i) q^{83} +(4821.48 - 1350.70i) q^{84} +(-12849.7 + 56298.3i) q^{85} +(90366.1 + 61610.6i) q^{86} +(-33850.3 - 31408.5i) q^{87} +(53649.5 - 8086.36i) q^{88} +(75358.5 - 69922.4i) q^{89} +(-38726.5 + 48561.4i) q^{90} +(17210.2 + 22773.8i) q^{91} +(-966.024 - 1211.36i) q^{92} +(-36984.0 - 5574.44i) q^{93} +(-1057.57 + 721.039i) q^{94} +(47070.2 + 119933. i) q^{95} +(-13344.6 + 4116.26i) q^{96} -111965. q^{97} +(41917.6 + 82218.6i) q^{98} -56472.1 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.24707 + 1.61851i −0.927559 + 0.286114i −0.721491 0.692424i \(-0.756543\pi\)
−0.206068 + 0.978538i \(0.566067\pi\)
\(3\) 7.63255 + 19.4474i 0.489628 + 1.24755i 0.935777 + 0.352593i \(0.114700\pi\)
−0.446149 + 0.894959i \(0.647205\pi\)
\(4\) −1.52748 + 1.04142i −0.0477338 + 0.0325443i
\(5\) −57.8178 8.71463i −1.03428 0.155892i −0.390103 0.920771i \(-0.627560\pi\)
−0.644174 + 0.764879i \(0.722799\pi\)
\(6\) −71.5243 89.6886i −0.811101 1.01709i
\(7\) −83.4438 + 99.2176i −0.643649 + 0.765321i
\(8\) 115.884 145.314i 0.640176 0.802756i
\(9\) −141.815 + 131.585i −0.583599 + 0.541501i
\(10\) 317.479 47.8522i 1.00396 0.151322i
\(11\) 213.985 + 198.549i 0.533214 + 0.494750i 0.900200 0.435476i \(-0.143420\pi\)
−0.366987 + 0.930226i \(0.619610\pi\)
\(12\) −31.9115 21.7569i −0.0639725 0.0436157i
\(13\) 48.9961 214.666i 0.0804087 0.352294i −0.918679 0.395006i \(-0.870743\pi\)
0.999087 + 0.0427120i \(0.0135998\pi\)
\(14\) 277.251 655.656i 0.378054 0.894037i
\(15\) −271.820 1190.92i −0.311927 1.36664i
\(16\) −351.247 + 894.964i −0.343015 + 0.873988i
\(17\) 73.8039 984.844i 0.0619380 0.826505i −0.876576 0.481263i \(-0.840178\pi\)
0.938514 0.345241i \(-0.112203\pi\)
\(18\) 531.140 919.961i 0.386392 0.669250i
\(19\) −1101.74 1908.27i −0.700155 1.21270i −0.968412 0.249357i \(-0.919781\pi\)
0.268257 0.963347i \(-0.413552\pi\)
\(20\) 97.3911 46.9011i 0.0544433 0.0262185i
\(21\) −2566.41 865.484i −1.26993 0.428263i
\(22\) −1444.15 695.464i −0.636142 0.306350i
\(23\) 62.6302 + 835.742i 0.0246868 + 0.329422i 0.995850 + 0.0910074i \(0.0290087\pi\)
−0.971163 + 0.238415i \(0.923372\pi\)
\(24\) 3710.48 + 1144.53i 1.31493 + 0.405601i
\(25\) 280.787 + 86.6114i 0.0898520 + 0.0277157i
\(26\) 90.3522 + 1205.67i 0.0262123 + 0.349779i
\(27\) 932.518 + 449.077i 0.246177 + 0.118553i
\(28\) 24.1318 238.453i 0.00581695 0.0574788i
\(29\) −1991.44 + 959.026i −0.439715 + 0.211756i −0.640625 0.767854i \(-0.721325\pi\)
0.200909 + 0.979610i \(0.435610\pi\)
\(30\) 3353.77 + 5808.90i 0.680347 + 1.17840i
\(31\) −895.140 + 1550.43i −0.167296 + 0.289766i −0.937468 0.348070i \(-0.886837\pi\)
0.770172 + 0.637836i \(0.220170\pi\)
\(32\) −49.9535 + 666.583i −0.00862365 + 0.115075i
\(33\) −2228.01 + 5676.89i −0.356150 + 0.907455i
\(34\) 1206.72 + 5287.00i 0.179024 + 0.784353i
\(35\) 5689.18 5009.36i 0.785018 0.691213i
\(36\) 79.5842 348.681i 0.0102346 0.0448407i
\(37\) −3862.30 2633.27i −0.463812 0.316222i 0.308770 0.951137i \(-0.400083\pi\)
−0.772582 + 0.634915i \(0.781035\pi\)
\(38\) 8869.43 + 8229.63i 0.996407 + 0.924531i
\(39\) 4548.66 685.600i 0.478875 0.0721788i
\(40\) −7966.53 + 7391.86i −0.787262 + 0.730472i
\(41\) −10634.9 + 13335.8i −0.988042 + 1.23897i −0.0170502 + 0.999855i \(0.505428\pi\)
−0.970992 + 0.239111i \(0.923144\pi\)
\(42\) 14866.9 + 387.497i 1.30046 + 0.0338958i
\(43\) −12418.7 15572.6i −1.02425 1.28437i −0.958062 0.286560i \(-0.907488\pi\)
−0.0661863 0.997807i \(-0.521083\pi\)
\(44\) −533.630 80.4318i −0.0415536 0.00626320i
\(45\) 9346.11 6372.07i 0.688018 0.469083i
\(46\) −1681.28 4283.83i −0.117151 0.298495i
\(47\) 222.748 68.7088i 0.0147086 0.00453699i −0.287392 0.957813i \(-0.592788\pi\)
0.302101 + 0.953276i \(0.402312\pi\)
\(48\) −20085.6 −1.25830
\(49\) −2881.25 16558.2i −0.171432 0.985196i
\(50\) −1613.49 −0.0912729
\(51\) 19716.0 6081.58i 1.06143 0.327409i
\(52\) 148.716 + 378.923i 0.00762695 + 0.0194331i
\(53\) −29294.3 + 19972.5i −1.43249 + 0.976658i −0.435419 + 0.900228i \(0.643400\pi\)
−0.997075 + 0.0764302i \(0.975648\pi\)
\(54\) −5619.82 847.051i −0.262264 0.0395299i
\(55\) −10641.9 13344.5i −0.474363 0.594832i
\(56\) 4747.90 + 23623.3i 0.202317 + 1.00663i
\(57\) 28701.8 35990.9i 1.17010 1.46725i
\(58\) 8897.02 8255.23i 0.347276 0.322225i
\(59\) 27868.2 4200.46i 1.04227 0.157097i 0.394470 0.918909i \(-0.370928\pi\)
0.647798 + 0.761812i \(0.275690\pi\)
\(60\) 1655.45 + 1536.03i 0.0593659 + 0.0550835i
\(61\) 25787.8 + 17581.8i 0.887338 + 0.604977i 0.918885 0.394526i \(-0.129091\pi\)
−0.0315471 + 0.999502i \(0.510043\pi\)
\(62\) 2187.48 9583.99i 0.0722712 0.316641i
\(63\) −1221.96 25050.4i −0.0387887 0.795177i
\(64\) −7662.74 33572.6i −0.233848 1.02456i
\(65\) −4703.58 + 11984.5i −0.138085 + 0.351834i
\(66\) 2502.46 33393.1i 0.0707144 0.943618i
\(67\) −20767.4 + 35970.1i −0.565190 + 0.978938i 0.431842 + 0.901949i \(0.357864\pi\)
−0.997032 + 0.0769885i \(0.975470\pi\)
\(68\) 912.901 + 1581.19i 0.0239415 + 0.0414679i
\(69\) −15775.0 + 7596.84i −0.398884 + 0.192092i
\(70\) −21743.9 + 35492.4i −0.530385 + 0.865746i
\(71\) 345.283 + 166.280i 0.00812885 + 0.00391465i 0.437944 0.899002i \(-0.355707\pi\)
−0.429815 + 0.902917i \(0.641421\pi\)
\(72\) 2687.06 + 35856.3i 0.0610865 + 0.815143i
\(73\) −58171.1 17943.4i −1.27762 0.394092i −0.419597 0.907710i \(-0.637829\pi\)
−0.858019 + 0.513618i \(0.828305\pi\)
\(74\) 24527.7 + 7565.80i 0.520688 + 0.160611i
\(75\) 458.755 + 6121.65i 0.00941732 + 0.125665i
\(76\) 3670.19 + 1767.47i 0.0728877 + 0.0351009i
\(77\) −37555.3 + 4663.37i −0.721845 + 0.0896341i
\(78\) −22757.5 + 10959.4i −0.423534 + 0.203963i
\(79\) −14667.7 25405.3i −0.264421 0.457990i 0.702991 0.711199i \(-0.251847\pi\)
−0.967412 + 0.253209i \(0.918514\pi\)
\(80\) 28107.6 48683.8i 0.491020 0.850472i
\(81\) −5128.98 + 68441.4i −0.0868597 + 1.15906i
\(82\) 34218.2 87186.6i 0.561982 1.43191i
\(83\) −22345.6 97902.4i −0.356038 1.55990i −0.762963 0.646443i \(-0.776256\pi\)
0.406925 0.913462i \(-0.366601\pi\)
\(84\) 4821.48 1350.70i 0.0745559 0.0208863i
\(85\) −12849.7 + 56298.3i −0.192906 + 0.845178i
\(86\) 90366.1 + 61610.6i 1.31753 + 0.898275i
\(87\) −33850.3 31408.5i −0.479473 0.444886i
\(88\) 53649.5 8086.36i 0.738514 0.111313i
\(89\) 75358.5 69922.4i 1.00846 0.935710i 0.0105211 0.999945i \(-0.496651\pi\)
0.997935 + 0.0642342i \(0.0204605\pi\)
\(90\) −38726.5 + 48561.4i −0.503966 + 0.631954i
\(91\) 17210.2 + 22773.8i 0.217863 + 0.288292i
\(92\) −966.024 1211.36i −0.0118992 0.0149211i
\(93\) −36984.0 5574.44i −0.443411 0.0668335i
\(94\) −1057.57 + 721.039i −0.0123450 + 0.00841665i
\(95\) 47070.2 + 119933.i 0.535103 + 1.36342i
\(96\) −13344.6 + 4116.26i −0.147784 + 0.0455853i
\(97\) −111965. −1.20824 −0.604118 0.796895i \(-0.706475\pi\)
−0.604118 + 0.796895i \(0.706475\pi\)
\(98\) 41917.6 + 82218.6i 0.440891 + 0.864779i
\(99\) −56472.1 −0.579090
\(100\) −519.096 + 160.120i −0.00519096 + 0.00160120i
\(101\) 43145.9 + 109934.i 0.420858 + 1.07233i 0.971385 + 0.237512i \(0.0763318\pi\)
−0.550526 + 0.834818i \(0.685573\pi\)
\(102\) −93608.0 + 63820.9i −0.890867 + 0.607383i
\(103\) 165372. + 24925.8i 1.53592 + 0.231502i 0.861849 0.507165i \(-0.169307\pi\)
0.674070 + 0.738668i \(0.264545\pi\)
\(104\) −25516.1 31996.2i −0.231330 0.290078i
\(105\) 140842. + 72405.7i 1.24669 + 0.640914i
\(106\) 121383. 152210.i 1.04929 1.31577i
\(107\) 708.171 657.087i 0.00597969 0.00554834i −0.677177 0.735820i \(-0.736797\pi\)
0.683157 + 0.730272i \(0.260606\pi\)
\(108\) −1892.08 + 285.185i −0.0156092 + 0.00235271i
\(109\) −139836. 129749.i −1.12733 1.04601i −0.998522 0.0543447i \(-0.982693\pi\)
−0.128812 0.991669i \(-0.541117\pi\)
\(110\) 77436.6 + 52795.4i 0.610189 + 0.416020i
\(111\) 21731.1 95210.3i 0.167408 0.733460i
\(112\) −59486.7 109529.i −0.448100 0.825058i
\(113\) 35967.9 + 157586.i 0.264984 + 1.16097i 0.915768 + 0.401707i \(0.131583\pi\)
−0.650784 + 0.759263i \(0.725560\pi\)
\(114\) −92348.7 + 235301.i −0.665531 + 1.69575i
\(115\) 3662.04 48866.6i 0.0258213 0.344562i
\(116\) 2043.13 3538.81i 0.0140978 0.0244181i
\(117\) 21298.4 + 36889.9i 0.143841 + 0.249139i
\(118\) −139428. + 67145.0i −0.921818 + 0.443924i
\(119\) 91555.4 + 89501.8i 0.592675 + 0.579381i
\(120\) −204558. 98509.7i −1.29677 0.624491i
\(121\) −5667.52 75627.8i −0.0351908 0.469589i
\(122\) −163766. 50515.2i −0.996151 0.307272i
\(123\) −340519. 105036.i −2.02945 0.626002i
\(124\) −247.336 3300.46i −0.00144455 0.0192762i
\(125\) 149147. + 71825.2i 0.853765 + 0.411152i
\(126\) 46956.0 + 129463.i 0.263490 + 0.726476i
\(127\) −238863. + 115030.i −1.31413 + 0.632854i −0.953933 0.300020i \(-0.903007\pi\)
−0.360202 + 0.932874i \(0.617292\pi\)
\(128\) 83849.2 + 145231.i 0.452349 + 0.783492i
\(129\) 208060. 360370.i 1.10081 1.90667i
\(130\) 5282.97 70496.4i 0.0274170 0.365855i
\(131\) 73388.1 186990.i 0.373635 0.952006i −0.613150 0.789967i \(-0.710098\pi\)
0.986784 0.162039i \(-0.0518070\pi\)
\(132\) −2508.77 10991.6i −0.0125321 0.0549069i
\(133\) 281267. + 49921.3i 1.37876 + 0.244713i
\(134\) 50749.9 222350.i 0.244159 1.06973i
\(135\) −50002.6 34091.2i −0.236134 0.160993i
\(136\) −134559. 124853.i −0.623830 0.578830i
\(137\) 229055. 34524.5i 1.04265 0.157154i 0.394679 0.918819i \(-0.370856\pi\)
0.647971 + 0.761665i \(0.275618\pi\)
\(138\) 70477.0 65393.1i 0.315028 0.292303i
\(139\) −75782.0 + 95027.6i −0.332682 + 0.417170i −0.919835 0.392306i \(-0.871677\pi\)
0.587153 + 0.809476i \(0.300249\pi\)
\(140\) −3473.28 + 13576.5i −0.0149768 + 0.0585421i
\(141\) 3036.35 + 3807.46i 0.0128618 + 0.0161282i
\(142\) −2080.85 313.637i −0.00866003 0.00130529i
\(143\) 53106.1 36207.1i 0.217172 0.148066i
\(144\) −67951.5 173138.i −0.273082 0.695801i
\(145\) 123498. 38094.1i 0.487798 0.150466i
\(146\) 334269. 1.29782
\(147\) 300023. 182414.i 1.14515 0.696250i
\(148\) 8641.93 0.0324307
\(149\) −336714. + 103863.i −1.24250 + 0.383260i −0.845210 0.534435i \(-0.820525\pi\)
−0.397287 + 0.917694i \(0.630048\pi\)
\(150\) −12315.1 31378.2i −0.0446898 0.113868i
\(151\) −179673. + 122499.i −0.641270 + 0.437210i −0.839809 0.542883i \(-0.817333\pi\)
0.198539 + 0.980093i \(0.436380\pi\)
\(152\) −404972. 61039.7i −1.42173 0.214291i
\(153\) 119124. + 149377.i 0.411406 + 0.515887i
\(154\) 189507. 85252.4i 0.643908 0.289671i
\(155\) 65266.4 81841.5i 0.218203 0.273618i
\(156\) −6233.99 + 5784.30i −0.0205095 + 0.0190300i
\(157\) −102365. + 15429.0i −0.331438 + 0.0499562i −0.312653 0.949867i \(-0.601218\pi\)
−0.0187847 + 0.999824i \(0.505980\pi\)
\(158\) 118081. + 109563.i 0.376304 + 0.349159i
\(159\) −612003. 417257.i −1.91982 1.30891i
\(160\) 8697.23 38105.0i 0.0268584 0.117675i
\(161\) −88146.4 63523.5i −0.268003 0.193139i
\(162\) −83860.8 367418.i −0.251056 1.09995i
\(163\) −165490. + 421663.i −0.487870 + 1.24307i 0.449044 + 0.893510i \(0.351765\pi\)
−0.936913 + 0.349562i \(0.886331\pi\)
\(164\) 2356.52 31445.6i 0.00684167 0.0912957i
\(165\) 178291. 308809.i 0.509823 0.883039i
\(166\) 275704. + 477534.i 0.776557 + 1.34504i
\(167\) −288815. + 139086.i −0.801361 + 0.385915i −0.789297 0.614012i \(-0.789555\pi\)
−0.0120643 + 0.999927i \(0.503840\pi\)
\(168\) −423174. + 272641.i −1.15677 + 0.745276i
\(169\) 290843. + 140062.i 0.783324 + 0.377229i
\(170\) −23695.8 316199.i −0.0628853 0.839146i
\(171\) 407341. + 125648.i 1.06529 + 0.328598i
\(172\) 35186.9 + 10853.7i 0.0906901 + 0.0279742i
\(173\) 22679.3 + 302635.i 0.0576123 + 0.768782i 0.948947 + 0.315436i \(0.102151\pi\)
−0.891335 + 0.453346i \(0.850230\pi\)
\(174\) 228450. + 110016.i 0.572028 + 0.275474i
\(175\) −32023.4 + 20631.9i −0.0790445 + 0.0509264i
\(176\) −252856. + 121769.i −0.615306 + 0.296316i
\(177\) 294394. + 509905.i 0.706310 + 1.22337i
\(178\) −282241. + 488856.i −0.667683 + 1.15646i
\(179\) −27587.8 + 368134.i −0.0643553 + 0.858762i 0.867849 + 0.496829i \(0.165502\pi\)
−0.932204 + 0.361933i \(0.882117\pi\)
\(180\) −7640.01 + 19466.4i −0.0175757 + 0.0447822i
\(181\) 12587.5 + 55149.6i 0.0285591 + 0.125126i 0.987198 0.159500i \(-0.0509880\pi\)
−0.958639 + 0.284625i \(0.908131\pi\)
\(182\) −127163. 91641.0i −0.284565 0.205074i
\(183\) −145094. + 635699.i −0.320274 + 1.40321i
\(184\) 128703. + 87748.3i 0.280249 + 0.191071i
\(185\) 200362. + 185909.i 0.430413 + 0.399365i
\(186\) 203080. 30609.4i 0.430412 0.0648742i
\(187\) 211333. 196088.i 0.441939 0.410060i
\(188\) −268.689 + 336.926i −0.000554441 + 0.000695247i
\(189\) −122369. + 55049.5i −0.249183 + 0.112098i
\(190\) −441093. 553113.i −0.886433 1.11155i
\(191\) −106792. 16096.3i −0.211814 0.0319259i 0.0422777 0.999106i \(-0.486539\pi\)
−0.254092 + 0.967180i \(0.581777\pi\)
\(192\) 594415. 405265.i 1.16369 0.793389i
\(193\) 142101. + 362066.i 0.274601 + 0.699673i 0.999936 + 0.0112768i \(0.00358958\pi\)
−0.725335 + 0.688396i \(0.758315\pi\)
\(194\) 587487. 181216.i 1.12071 0.345694i
\(195\) −268968. −0.506541
\(196\) 21645.1 + 22291.7i 0.0402456 + 0.0414480i
\(197\) 446768. 0.820195 0.410097 0.912042i \(-0.365495\pi\)
0.410097 + 0.912042i \(0.365495\pi\)
\(198\) 296313. 91400.5i 0.537141 0.165686i
\(199\) 227244. + 579008.i 0.406780 + 1.03646i 0.976671 + 0.214739i \(0.0688901\pi\)
−0.569891 + 0.821720i \(0.693015\pi\)
\(200\) 45124.7 30765.5i 0.0797700 0.0543863i
\(201\) −858034. 129328.i −1.49801 0.225789i
\(202\) −404318. 506999.i −0.697180 0.874236i
\(203\) 71021.0 277610.i 0.120961 0.472820i
\(204\) −23782.3 + 29822.1i −0.0400109 + 0.0501721i
\(205\) 731106. 678367.i 1.21505 1.12740i
\(206\) −908059. + 136868.i −1.49089 + 0.224716i
\(207\) −118853. 110279.i −0.192789 0.178882i
\(208\) 174908. + 119251.i 0.280319 + 0.191118i
\(209\) 143129. 627089.i 0.226653 0.993032i
\(210\) −856197. 151964.i −1.33975 0.237790i
\(211\) 65935.2 + 288881.i 0.101956 + 0.446697i 0.999977 + 0.00674532i \(0.00214712\pi\)
−0.898022 + 0.439951i \(0.854996\pi\)
\(212\) 23946.7 61015.2i 0.0365937 0.0932391i
\(213\) −598.318 + 7984.00i −0.000903614 + 0.0120579i
\(214\) −2652.32 + 4593.96i −0.00395906 + 0.00685729i
\(215\) 582313. + 1.00860e6i 0.859133 + 1.48806i
\(216\) 173321. 83467.2i 0.252766 0.121725i
\(217\) −79135.8 218187.i −0.114084 0.314543i
\(218\) 943729. + 454476.i 1.34495 + 0.647693i
\(219\) −95040.9 1.26823e6i −0.133906 1.78685i
\(220\) 30152.4 + 9300.78i 0.0420015 + 0.0129558i
\(221\) −207796. 64096.7i −0.286192 0.0882785i
\(222\) 40073.8 + 534747.i 0.0545730 + 0.728226i
\(223\) −863126. 415660.i −1.16228 0.559726i −0.249582 0.968354i \(-0.580293\pi\)
−0.912701 + 0.408627i \(0.866008\pi\)
\(224\) −61968.4 60578.5i −0.0825183 0.0806675i
\(225\) −51216.5 + 24664.6i −0.0674456 + 0.0324801i
\(226\) −443780. 768649.i −0.577958 1.00105i
\(227\) −113208. + 196082.i −0.145819 + 0.252565i −0.929678 0.368373i \(-0.879915\pi\)
0.783859 + 0.620938i \(0.213248\pi\)
\(228\) −6359.82 + 84865.9i −0.00810229 + 0.108118i
\(229\) 202007. 514706.i 0.254553 0.648590i −0.745282 0.666749i \(-0.767685\pi\)
0.999835 + 0.0181588i \(0.00578045\pi\)
\(230\) 59875.9 + 262333.i 0.0746332 + 0.326990i
\(231\) −377333. 694759.i −0.465259 0.856652i
\(232\) −91416.1 + 400520.i −0.111507 + 0.488545i
\(233\) −894097. 609585.i −1.07893 0.735604i −0.112792 0.993619i \(-0.535979\pi\)
−0.966141 + 0.258014i \(0.916932\pi\)
\(234\) −171461. 159092.i −0.204703 0.189937i
\(235\) −13477.6 + 2031.42i −0.0159200 + 0.00239955i
\(236\) −38193.8 + 35438.6i −0.0446388 + 0.0414187i
\(237\) 382115. 479157.i 0.441899 0.554124i
\(238\) −625257. 321439.i −0.715510 0.367838i
\(239\) −623075. 781311.i −0.705579 0.884768i 0.291848 0.956465i \(-0.405730\pi\)
−0.997426 + 0.0716972i \(0.977158\pi\)
\(240\) 1.16131e6 + 175039.i 1.30142 + 0.196158i
\(241\) 154499. 105336.i 0.171350 0.116824i −0.474609 0.880197i \(-0.657410\pi\)
0.645958 + 0.763373i \(0.276458\pi\)
\(242\) 152142. + 387651.i 0.166998 + 0.425503i
\(243\) −1.12982e6 + 348504.i −1.22742 + 0.378609i
\(244\) −57700.3 −0.0620445
\(245\) 22289.0 + 982467.i 0.0237233 + 1.04569i
\(246\) 1.95673e6 2.06154
\(247\) −463620. + 143008.i −0.483526 + 0.149148i
\(248\) 121567. + 309747.i 0.125512 + 0.319799i
\(249\) 1.73339e6 1.18181e6i 1.77174 1.20795i
\(250\) −898832. 135477.i −0.909554 0.137093i
\(251\) 505787. + 634237.i 0.506738 + 0.635429i 0.967734 0.251973i \(-0.0810793\pi\)
−0.460996 + 0.887402i \(0.652508\pi\)
\(252\) 27954.5 + 36991.5i 0.0277300 + 0.0366944i
\(253\) −152534. + 191271.i −0.149818 + 0.187866i
\(254\) 1.06715e6 990174.i 1.03787 0.963002i
\(255\) −1.19293e6 + 179806.i −1.14886 + 0.173162i
\(256\) 132769. + 123191.i 0.126618 + 0.117485i
\(257\) −1.32046e6 900273.i −1.24707 0.850240i −0.253939 0.967220i \(-0.581726\pi\)
−0.993134 + 0.116980i \(0.962679\pi\)
\(258\) −508443. + 2.22763e6i −0.475546 + 2.08350i
\(259\) 583552. 163478.i 0.540543 0.151429i
\(260\) −5296.28 23204.5i −0.00485890 0.0212882i
\(261\) 156222. 398046.i 0.141952 0.361687i
\(262\) −82428.1 + 1.09993e6i −0.0741860 + 0.989944i
\(263\) −286049. + 495452.i −0.255007 + 0.441685i −0.964897 0.262627i \(-0.915411\pi\)
0.709891 + 0.704312i \(0.248744\pi\)
\(264\) 566741. + 981624.i 0.500466 + 0.866833i
\(265\) 1.86778e6 899477.i 1.63385 0.786820i
\(266\) −1.55662e6 + 193291.i −1.34890 + 0.167498i
\(267\) 1.93499e6 + 931841.i 1.66112 + 0.799951i
\(268\) −5738.22 76571.2i −0.00488023 0.0651221i
\(269\) 261916. + 80790.3i 0.220689 + 0.0680736i 0.403128 0.915144i \(-0.367923\pi\)
−0.182439 + 0.983217i \(0.558399\pi\)
\(270\) 317544. + 97949.3i 0.265091 + 0.0817696i
\(271\) −9434.41 125893.i −0.00780354 0.104131i 0.991942 0.126694i \(-0.0404365\pi\)
−0.999745 + 0.0225627i \(0.992817\pi\)
\(272\) 855477. + 411976.i 0.701109 + 0.337637i
\(273\) −311534. + 508516.i −0.252988 + 0.412951i
\(274\) −1.14599e6 + 551879.i −0.922155 + 0.444087i
\(275\) 42887.6 + 74283.6i 0.0341980 + 0.0592326i
\(276\) 16184.5 28032.4i 0.0127887 0.0221507i
\(277\) −177179. + 2.36430e6i −0.138744 + 1.85141i 0.301420 + 0.953491i \(0.402539\pi\)
−0.440164 + 0.897917i \(0.645080\pi\)
\(278\) 243830. 621270.i 0.189224 0.482134i
\(279\) −77068.7 337660.i −0.0592744 0.259698i
\(280\) −68644.4 1.40723e6i −0.0523251 1.07268i
\(281\) 360159. 1.57796e6i 0.272100 1.19215i −0.635429 0.772159i \(-0.719177\pi\)
0.907529 0.419989i \(-0.137966\pi\)
\(282\) −22094.3 15063.6i −0.0165446 0.0112800i
\(283\) −931090. 863925.i −0.691075 0.641224i 0.254331 0.967117i \(-0.418145\pi\)
−0.945407 + 0.325893i \(0.894335\pi\)
\(284\) −700.580 + 105.595i −0.000515421 + 7.76872e-5i
\(285\) −1.97312e6 + 1.83079e6i −1.43894 + 1.33514i
\(286\) −220050. + 275934.i −0.159076 + 0.199476i
\(287\) −435725. 2.16796e6i −0.312254 1.55363i
\(288\) −80628.0 101104.i −0.0572802 0.0718271i
\(289\) 439527. + 66248.1i 0.309557 + 0.0466583i
\(290\) −586347. + 399765.i −0.409411 + 0.279132i
\(291\) −854576. 2.17742e6i −0.591587 1.50734i
\(292\) 107542. 33172.3i 0.0738109 0.0227677i
\(293\) 1.05535e6 0.718172 0.359086 0.933304i \(-0.383088\pi\)
0.359086 + 0.933304i \(0.383088\pi\)
\(294\) −1.27900e6 + 1.44273e6i −0.862984 + 0.973455i
\(295\) −1.64789e6 −1.10248
\(296\) −830232. + 256093.i −0.550770 + 0.169890i
\(297\) 110381. + 281246.i 0.0726111 + 0.185010i
\(298\) 1.59866e6 1.08995e6i 1.04283 0.710992i
\(299\) 182474. + 27503.5i 0.118038 + 0.0177914i
\(300\) −7075.94 8872.95i −0.00453922 0.00569200i
\(301\) 2.58134e6 + 67280.9i 1.64221 + 0.0428031i
\(302\) 744492. 933563.i 0.469724 0.589015i
\(303\) −1.80862e6 + 1.67815e6i −1.13172 + 1.05009i
\(304\) 2.09481e6 315742.i 1.30005 0.195951i
\(305\) −1.33777e6 1.24127e6i −0.823441 0.764042i
\(306\) −866818. 590987.i −0.529206 0.360806i
\(307\) 278380. 1.21966e6i 0.168575 0.738574i −0.817994 0.575227i \(-0.804914\pi\)
0.986569 0.163347i \(-0.0522291\pi\)
\(308\) 52508.4 46234.0i 0.0315393 0.0277705i
\(309\) 777466. + 3.40630e6i 0.463218 + 2.02949i
\(310\) −209996. + 535062.i −0.124110 + 0.316228i
\(311\) −48304.1 + 644573.i −0.0283193 + 0.377895i 0.964980 + 0.262324i \(0.0844889\pi\)
−0.993299 + 0.115571i \(0.963130\pi\)
\(312\) 427491. 740436.i 0.248622 0.430627i
\(313\) 432966. + 749919.i 0.249800 + 0.432667i 0.963470 0.267815i \(-0.0863017\pi\)
−0.713670 + 0.700482i \(0.752968\pi\)
\(314\) 512144. 246636.i 0.293135 0.141166i
\(315\) −147654. + 1.45901e6i −0.0838435 + 0.828479i
\(316\) 48862.2 + 23530.8i 0.0275268 + 0.0132562i
\(317\) 203784. + 2.71930e6i 0.113899 + 1.51988i 0.702632 + 0.711554i \(0.252008\pi\)
−0.588732 + 0.808328i \(0.700373\pi\)
\(318\) 3.88655e6 + 1.19884e6i 2.15525 + 0.664805i
\(319\) −616551. 190181.i −0.339228 0.104638i
\(320\) 150469. + 2.00787e6i 0.0821435 + 1.09613i
\(321\) 18183.8 + 8756.85i 0.00984967 + 0.00474335i
\(322\) 565324. + 190647.i 0.303849 + 0.102468i
\(323\) −1.96066e6 + 944203.i −1.04567 + 0.503569i
\(324\) −63441.8 109884.i −0.0335747 0.0581532i
\(325\) 32350.0 56031.9i 0.0169889 0.0294257i
\(326\) 185876. 2.48034e6i 0.0968676 1.29261i
\(327\) 1.45597e6 3.70976e6i 0.752982 1.91857i
\(328\) 705459. + 3.09082e6i 0.362066 + 1.58631i
\(329\) −11769.9 + 27833.9i −0.00599490 + 0.0141770i
\(330\) −435695. + 1.90890e6i −0.220241 + 0.964938i
\(331\) −2.36787e6 1.61438e6i −1.18792 0.809910i −0.202372 0.979309i \(-0.564865\pi\)
−0.985548 + 0.169399i \(0.945817\pi\)
\(332\) 136090. + 126273.i 0.0677611 + 0.0628731i
\(333\) 894229. 134783.i 0.441914 0.0666078i
\(334\) 1.29032e6 1.19724e6i 0.632894 0.587240i
\(335\) 1.51419e6 1.89873e6i 0.737171 0.924383i
\(336\) 1.67602e6 1.99285e6i 0.809901 0.963000i
\(337\) −1.02870e6 1.28996e6i −0.493419 0.618728i 0.471312 0.881967i \(-0.343781\pi\)
−0.964731 + 0.263239i \(0.915209\pi\)
\(338\) −1.75276e6 264186.i −0.834510 0.125782i
\(339\) −2.79011e6 + 1.90226e6i −1.31863 + 0.899025i
\(340\) −39002.4 99376.6i −0.0182976 0.0466216i
\(341\) −499382. + 154039.i −0.232566 + 0.0717372i
\(342\) −2.34071e6 −1.08214
\(343\) 1.88329e6 + 1.09581e6i 0.864333 + 0.502920i
\(344\) −3.70205e6 −1.68673
\(345\) 978279. 301759.i 0.442502 0.136494i
\(346\) −608816. 1.55124e6i −0.273398 0.696608i
\(347\) 2.72166e6 1.85560e6i 1.21342 0.827295i 0.224315 0.974517i \(-0.427985\pi\)
0.989104 + 0.147222i \(0.0470331\pi\)
\(348\) 84415.1 + 12723.5i 0.0373656 + 0.00563196i
\(349\) 377082. + 472846.i 0.165719 + 0.207805i 0.857756 0.514057i \(-0.171858\pi\)
−0.692037 + 0.721862i \(0.743287\pi\)
\(350\) 134636. 160087.i 0.0587477 0.0698530i
\(351\) 142091. 178177.i 0.0615601 0.0771940i
\(352\) −143039. + 132720.i −0.0615314 + 0.0570928i
\(353\) −2.71725e6 + 409559.i −1.16063 + 0.174936i −0.700990 0.713171i \(-0.747258\pi\)
−0.459636 + 0.888107i \(0.652020\pi\)
\(354\) −2.36999e6 2.19903e6i −1.00517 0.932658i
\(355\) −18514.4 12622.9i −0.00779722 0.00531605i
\(356\) −42290.1 + 185285.i −0.0176853 + 0.0774845i
\(357\) −1.04178e6 + 2.46364e6i −0.432618 + 1.02307i
\(358\) −451071. 1.97627e6i −0.186011 0.814966i
\(359\) 55908.6 142453.i 0.0228951 0.0583358i −0.918969 0.394330i \(-0.870977\pi\)
0.941864 + 0.335994i \(0.109072\pi\)
\(360\) 157114. 2.09655e6i 0.0638940 0.852606i
\(361\) −1.18960e6 + 2.06045e6i −0.480434 + 0.832136i
\(362\) −155308. 269001.i −0.0622905 0.107890i
\(363\) 1.42751e6 687451.i 0.568606 0.273826i
\(364\) −50005.3 16863.5i −0.0197817 0.00667107i
\(365\) 3.20696e6 + 1.54439e6i 1.25997 + 0.606771i
\(366\) −267564. 3.57039e6i −0.104406 1.39320i
\(367\) 1.28331e6 + 395848.i 0.497355 + 0.153414i 0.533276 0.845941i \(-0.320961\pi\)
−0.0359219 + 0.999355i \(0.511437\pi\)
\(368\) −769958. 237501.i −0.296379 0.0914208i
\(369\) −246597. 3.29061e6i −0.0942804 1.25808i
\(370\) −1.35221e6 651188.i −0.513498 0.247287i
\(371\) 462804. 4.57309e6i 0.174567 1.72494i
\(372\) 62297.7 30001.0i 0.0233407 0.0112403i
\(373\) 2.25723e6 + 3.90963e6i 0.840046 + 1.45500i 0.889855 + 0.456244i \(0.150806\pi\)
−0.0498083 + 0.998759i \(0.515861\pi\)
\(374\) −791507. + 1.37093e6i −0.292601 + 0.506800i
\(375\) −258446. + 3.44873e6i −0.0949056 + 1.26643i
\(376\) 15828.7 40330.8i 0.00577397 0.0147118i
\(377\) 108297. + 474482.i 0.0392432 + 0.171936i
\(378\) 552982. 486904.i 0.199059 0.175272i
\(379\) 161031. 705523.i 0.0575853 0.252298i −0.937939 0.346799i \(-0.887269\pi\)
0.995525 + 0.0945015i \(0.0301257\pi\)
\(380\) −196799. 134175.i −0.0699140 0.0476666i
\(381\) −4.06018e6 3.76730e6i −1.43296 1.32959i
\(382\) 586397. 88385.2i 0.205605 0.0309900i
\(383\) 48883.4 45357.2i 0.0170280 0.0157997i −0.671613 0.740902i \(-0.734398\pi\)
0.688641 + 0.725103i \(0.258208\pi\)
\(384\) −2.18439e6 + 2.73913e6i −0.755964 + 0.947949i
\(385\) 2.21200e6 + 57654.4i 0.760560 + 0.0198235i
\(386\) −1.33162e6 1.66980e6i −0.454895 0.570421i
\(387\) 3.81026e6 + 574305.i 1.29324 + 0.194924i
\(388\) 171024. 116602.i 0.0576737 0.0393213i
\(389\) −173499. 442069.i −0.0581331 0.148121i 0.898856 0.438243i \(-0.144399\pi\)
−0.956989 + 0.290123i \(0.906304\pi\)
\(390\) 1.41130e6 435327.i 0.469847 0.144929i
\(391\) 827698. 0.273798
\(392\) −2.74003e6 1.50015e6i −0.900618 0.493081i
\(393\) 4.19661e6 1.37062
\(394\) −2.34422e6 + 723097.i −0.760779 + 0.234669i
\(395\) 626659. + 1.59670e6i 0.202087 + 0.514910i
\(396\) 86260.1 58811.1i 0.0276422 0.0188461i
\(397\) 73973.1 + 11149.7i 0.0235558 + 0.00355046i 0.160810 0.986985i \(-0.448589\pi\)
−0.137254 + 0.990536i \(0.543828\pi\)
\(398\) −2.12949e6 2.67030e6i −0.673858 0.844992i
\(399\) 1.17594e6 + 5.85094e6i 0.369789 + 1.83990i
\(400\) −176140. + 220873.i −0.0550437 + 0.0690227i
\(401\) −208026. + 193020.i −0.0646037 + 0.0599434i −0.711814 0.702368i \(-0.752126\pi\)
0.647210 + 0.762312i \(0.275936\pi\)
\(402\) 4.71148e6 710141.i 1.45409 0.219169i
\(403\) 288966. + 268121.i 0.0886306 + 0.0822372i
\(404\) −180392. 122989.i −0.0549874 0.0374898i
\(405\) 892988. 3.91244e6i 0.270525 1.18525i
\(406\) 76662.1 + 1.57159e6i 0.0230816 + 0.473177i
\(407\) −303641. 1.33034e6i −0.0908602 0.398085i
\(408\) 1.40103e6 3.56977e6i 0.416675 1.06167i
\(409\) 456177. 6.08725e6i 0.134842 1.79934i −0.362707 0.931903i \(-0.618147\pi\)
0.497549 0.867436i \(-0.334234\pi\)
\(410\) −2.73822e6 + 4.74274e6i −0.804468 + 1.39338i
\(411\) 2.41969e6 + 4.19102e6i 0.706569 + 1.22381i
\(412\) −278560. + 134148.i −0.0808493 + 0.0389350i
\(413\) −1.90867e6 + 3.11552e6i −0.550626 + 0.898785i
\(414\) 802116. + 386279.i 0.230004 + 0.110764i
\(415\) 438789. + 5.85523e6i 0.125065 + 1.66888i
\(416\) 140645. + 43383.3i 0.0398466 + 0.0122911i
\(417\) −2.42645e6 748461.i −0.683331 0.210780i
\(418\) 263940. + 3.52203e6i 0.0738864 + 0.985945i
\(419\) 3.44423e6 + 1.65865e6i 0.958422 + 0.461552i 0.846631 0.532180i \(-0.178627\pi\)
0.111791 + 0.993732i \(0.464341\pi\)
\(420\) −290538. + 36077.2i −0.0803674 + 0.00997951i
\(421\) 1.42223e6 684912.i 0.391080 0.188334i −0.228002 0.973661i \(-0.573219\pi\)
0.619082 + 0.785326i \(0.287505\pi\)
\(422\) −813522. 1.40906e6i −0.222376 0.385167i
\(423\) −22547.9 + 39054.2i −0.00612711 + 0.0106125i
\(424\) −492456. + 6.57137e6i −0.133031 + 1.77518i
\(425\) 106022. 270140.i 0.0284724 0.0725464i
\(426\) −9782.74 42861.0i −0.00261178 0.0114429i
\(427\) −3.89625e6 + 1.09151e6i −1.03414 + 0.289705i
\(428\) −397.415 + 1741.19i −0.000104866 + 0.000459448i
\(429\) 1.10947e6 + 756424.i 0.291053 + 0.198437i
\(430\) −4.68786e6 4.34970e6i −1.22265 1.13446i
\(431\) −1.03713e6 + 156322.i −0.268929 + 0.0405346i −0.282123 0.959378i \(-0.591038\pi\)
0.0131931 + 0.999913i \(0.495800\pi\)
\(432\) −729452. + 676833.i −0.188056 + 0.174491i
\(433\) −3.11335e6 + 3.90402e6i −0.798010 + 1.00067i 0.201765 + 0.979434i \(0.435332\pi\)
−0.999774 + 0.0212384i \(0.993239\pi\)
\(434\) 768368. + 1.01676e6i 0.195815 + 0.259116i
\(435\) 1.68344e6 + 2.11096e6i 0.426554 + 0.534881i
\(436\) 348720. + 52561.0i 0.0878538 + 0.0132418i
\(437\) 1.52582e6 1.04028e6i 0.382207 0.260584i
\(438\) 2.55133e6 + 6.50068e6i 0.635449 + 1.61910i
\(439\) 6.34282e6 1.95650e6i 1.57080 0.484528i 0.617505 0.786567i \(-0.288143\pi\)
0.953296 + 0.302039i \(0.0976673\pi\)
\(440\) −3.17236e6 −0.781180
\(441\) 2.58741e6 + 1.96906e6i 0.633531 + 0.482129i
\(442\) 1.19406e6 0.290718
\(443\) −756836. + 233453.i −0.183228 + 0.0565184i −0.385012 0.922912i \(-0.625803\pi\)
0.201783 + 0.979430i \(0.435326\pi\)
\(444\) 65959.9 + 168063.i 0.0158790 + 0.0404590i
\(445\) −4.96641e6 + 3.38604e6i −1.18889 + 0.810573i
\(446\) 5.20163e6 + 784019.i 1.23823 + 0.186634i
\(447\) −4.58984e6 5.75548e6i −1.08650 1.36243i
\(448\) 3.97040e6 + 2.04115e6i 0.934630 + 0.480486i
\(449\) −1.49482e6 + 1.87444e6i −0.349923 + 0.438790i −0.925379 0.379043i \(-0.876253\pi\)
0.575456 + 0.817833i \(0.304825\pi\)
\(450\) 228817. 212311.i 0.0532667 0.0494243i
\(451\) −4.92353e6 + 742102.i −1.13982 + 0.171800i
\(452\) −219053. 203252.i −0.0504317 0.0467937i
\(453\) −3.75365e6 2.55920e6i −0.859426 0.585947i
\(454\) 276651. 1.21209e6i 0.0629930 0.275990i
\(455\) −796591. 1.46671e6i −0.180388 0.332136i
\(456\) −1.90390e6 8.34155e6i −0.428779 1.87860i
\(457\) −1.06715e6 + 2.71905e6i −0.239020 + 0.609013i −0.999170 0.0407346i \(-0.987030\pi\)
0.760150 + 0.649748i \(0.225125\pi\)
\(458\) −226891. + 3.02765e6i −0.0505421 + 0.674437i
\(459\) 511094. 885241.i 0.113232 0.196124i
\(460\) 45296.9 + 78456.5i 0.00998099 + 0.0172876i
\(461\) −6.12688e6 + 2.95055e6i −1.34272 + 0.646622i −0.960715 0.277536i \(-0.910482\pi\)
−0.382010 + 0.924158i \(0.624768\pi\)
\(462\) 3.10436e6 + 3.03473e6i 0.676655 + 0.661478i
\(463\) −6.02059e6 2.89936e6i −1.30523 0.628565i −0.353480 0.935442i \(-0.615002\pi\)
−0.951749 + 0.306877i \(0.900716\pi\)
\(464\) −158806. 2.11912e6i −0.0342430 0.456941i
\(465\) 2.08975e6 + 644604.i 0.448191 + 0.138249i
\(466\) 5.67800e6 + 1.75143e6i 1.21124 + 0.373619i
\(467\) −401166. 5.35319e6i −0.0851201 1.13585i −0.862241 0.506498i \(-0.830940\pi\)
0.777121 0.629351i \(-0.216679\pi\)
\(468\) −70950.7 34168.0i −0.0149741 0.00721116i
\(469\) −1.83596e6 5.06197e6i −0.385417 1.06264i
\(470\) 67430.0 32472.6i 0.0140802 0.00678066i
\(471\) −1.08136e6 1.87297e6i −0.224604 0.389026i
\(472\) 2.61910e6 4.53642e6i 0.541125 0.937256i
\(473\) 434501. 5.79802e6i 0.0892973 1.19159i
\(474\) −1.22946e6 + 3.13262e6i −0.251345 + 0.640416i
\(475\) −144076. 631240.i −0.0292994 0.128369i
\(476\) −233058. 41364.8i −0.0471462 0.00836785i
\(477\) 1.52628e6 6.68706e6i 0.307141 1.34567i
\(478\) 4.53387e6 + 3.09114e6i 0.907611 + 0.618798i
\(479\) 5.40955e6 + 5.01933e6i 1.07726 + 0.999556i 0.999997 + 0.00254529i \(0.000810192\pi\)
0.0772680 + 0.997010i \(0.475380\pi\)
\(480\) 807426. 121700.i 0.159956 0.0241094i
\(481\) −754511. + 700084.i −0.148697 + 0.137971i
\(482\) −640181. + 802762.i −0.125512 + 0.157387i
\(483\) 562587. 2.19907e6i 0.109729 0.428914i
\(484\) 87417.2 + 109618.i 0.0169622 + 0.0212700i
\(485\) 6.47355e6 + 975731.i 1.24965 + 0.188354i
\(486\) 5.36419e6 3.65724e6i 1.03018 0.702366i
\(487\) 757987. + 1.93132e6i 0.144824 + 0.369005i 0.984818 0.173591i \(-0.0555370\pi\)
−0.839994 + 0.542595i \(0.817442\pi\)
\(488\) 5.54328e6 1.70988e6i 1.05370 0.325024i
\(489\) −9.46336e6 −1.78967
\(490\) −1.70708e6 5.11900e6i −0.321191 0.963152i
\(491\) 6.01329e6 1.12566 0.562831 0.826572i \(-0.309712\pi\)
0.562831 + 0.826572i \(0.309712\pi\)
\(492\) 629522. 194182.i 0.117246 0.0361656i
\(493\) 797515. + 2.03204e6i 0.147782 + 0.376542i
\(494\) 2.20119e6 1.50074e6i 0.405826 0.276687i
\(495\) 3.26509e6 + 492134.i 0.598939 + 0.0902756i
\(496\) −1.07316e6 1.34570e6i −0.195867 0.245609i
\(497\) −45309.6 + 20383.1i −0.00822809 + 0.00370152i
\(498\) −7.18247e6 + 9.00654e6i −1.29778 + 1.62736i
\(499\) −315189. + 292453.i −0.0566657 + 0.0525780i −0.707997 0.706215i \(-0.750401\pi\)
0.651332 + 0.758793i \(0.274211\pi\)
\(500\) −302619. + 45612.4i −0.0541341 + 0.00815940i
\(501\) −4.90925e6 4.55512e6i −0.873818 0.810785i
\(502\) −3.68042e6 2.50927e6i −0.651835 0.444414i
\(503\) 949731. 4.16104e6i 0.167371 0.733301i −0.819670 0.572836i \(-0.805843\pi\)
0.987041 0.160465i \(-0.0512995\pi\)
\(504\) −3.78179e6 2.72538e6i −0.663164 0.477915i
\(505\) −1.53657e6 6.73214e6i −0.268116 1.17469i
\(506\) 490781. 1.25049e6i 0.0852142 0.217122i
\(507\) −503982. + 6.72517e6i −0.0870753 + 1.16194i
\(508\) 245064. 424463.i 0.0421328 0.0729761i
\(509\) 123117. + 213245.i 0.0210632 + 0.0364825i 0.876365 0.481648i \(-0.159962\pi\)
−0.855302 + 0.518130i \(0.826628\pi\)
\(510\) 5.96839e6 2.87422e6i 1.01609 0.489322i
\(511\) 6.63433e6 4.27433e6i 1.12394 0.724129i
\(512\) −5.73095e6 2.75988e6i −0.966165 0.465281i
\(513\) −170432. 2.27426e6i −0.0285929 0.381545i
\(514\) 8.38563e6 + 2.58663e6i 1.40000 + 0.431843i
\(515\) −9.34421e6 2.88231e6i −1.55247 0.478875i
\(516\) 57488.9 + 767136.i 0.00950516 + 0.126838i
\(517\) 61306.8 + 29523.8i 0.0100875 + 0.00485787i
\(518\) −2.79735e6 + 1.80226e6i −0.458060 + 0.295116i
\(519\) −5.71236e6 + 2.75093e6i −0.930888 + 0.448292i
\(520\) 1.19645e6 + 2.07232e6i 0.194038 + 0.336084i
\(521\) 1.45798e6 2.52529e6i 0.235319 0.407584i −0.724047 0.689751i \(-0.757720\pi\)
0.959365 + 0.282167i \(0.0910533\pi\)
\(522\) −175465. + 2.34142e6i −0.0281848 + 0.376100i
\(523\) 823373. 2.09792e6i 0.131626 0.335378i −0.849832 0.527053i \(-0.823297\pi\)
0.981458 + 0.191675i \(0.0613920\pi\)
\(524\) 82635.8 + 362051.i 0.0131474 + 0.0576025i
\(525\) −645656. 465298.i −0.102236 0.0736772i
\(526\) 699028. 3.06264e6i 0.110162 0.482650i
\(527\) 1.46087e6 + 996001.i 0.229131 + 0.156219i
\(528\) −4.29802e6 3.98798e6i −0.670940 0.622542i
\(529\) 5.66991e6 854602.i 0.880921 0.132778i
\(530\) −8.34457e6 + 7.74263e6i −1.29037 + 1.19729i
\(531\) −3.39941e6 + 4.26272e6i −0.523199 + 0.656070i
\(532\) −481618. + 216663.i −0.0737775 + 0.0331898i
\(533\) 2.34167e6 + 2.93636e6i 0.357032 + 0.447705i
\(534\) −1.16612e7 1.75764e6i −1.76966 0.266733i
\(535\) −46671.2 + 31819.9i −0.00704959 + 0.00480633i
\(536\) 2.82036e6 + 7.18617e6i 0.424027 + 1.08040i
\(537\) −7.36981e6 + 2.27329e6i −1.10286 + 0.340188i
\(538\) −1.50505e6 −0.224179
\(539\) 2.67107e6 4.11527e6i 0.396016 0.610136i
\(540\) 111881. 0.0165110
\(541\) 3.03299e6 935554.i 0.445531 0.137428i −0.0638685 0.997958i \(-0.520344\pi\)
0.509399 + 0.860530i \(0.329868\pi\)
\(542\) 253262. + 645302.i 0.0370316 + 0.0943549i
\(543\) −976442. + 665727.i −0.142117 + 0.0968940i
\(544\) 652794. + 98392.8i 0.0945755 + 0.0142550i
\(545\) 6.95430e6 + 8.72041e6i 1.00291 + 1.25761i
\(546\) 811604. 3.17244e6i 0.116510 0.455420i
\(547\) −3.26517e6 + 4.09440e6i −0.466593 + 0.585089i −0.958333 0.285653i \(-0.907789\pi\)
0.491740 + 0.870742i \(0.336361\pi\)
\(548\) −313923. + 291278.i −0.0446551 + 0.0414339i
\(549\) −5.97057e6 + 899919.i −0.845445 + 0.127430i
\(550\) −345263. 320357.i −0.0486679 0.0451573i
\(551\) 4.02412e6 + 2.74360e6i 0.564666 + 0.384983i
\(552\) −724145. + 3.17269e6i −0.101153 + 0.443179i
\(553\) 3.74458e6 + 664616.i 0.520704 + 0.0924183i
\(554\) −2.89695e6 1.26924e7i −0.401021 1.75699i
\(555\) −2.08617e6 + 5.31547e6i −0.287486 + 0.732503i
\(556\) 16792.0 224074.i 0.00230364 0.0307400i
\(557\) 3.72258e6 6.44769e6i 0.508400 0.880575i −0.491552 0.870848i \(-0.663570\pi\)
0.999953 0.00972721i \(-0.00309631\pi\)
\(558\) 950889. + 1.64699e6i 0.129284 + 0.223926i
\(559\) −3.95137e6 + 1.90288e6i −0.534833 + 0.257562i
\(560\) 2.48488e6 + 6.85114e6i 0.334839 + 0.923193i
\(561\) 5.42641e6 + 2.61322e6i 0.727957 + 0.350566i
\(562\) 664159. + 8.86258e6i 0.0887015 + 1.18364i
\(563\) 1.01851e7 + 3.14168e6i 1.35423 + 0.417725i 0.885099 0.465403i \(-0.154090\pi\)
0.469133 + 0.883128i \(0.344567\pi\)
\(564\) −8603.12 2653.71i −0.00113883 0.000351282i
\(565\) −706284. 9.42471e6i −0.0930805 1.24207i
\(566\) 6.28376e6 + 3.02610e6i 0.824477 + 0.397047i
\(567\) −6.36261e6 6.21990e6i −0.831147 0.812505i
\(568\) 64175.7 30905.4i 0.00834641 0.00401942i
\(569\) 981883. + 1.70067e6i 0.127139 + 0.220211i 0.922567 0.385837i \(-0.126087\pi\)
−0.795428 + 0.606048i \(0.792754\pi\)
\(570\) 7.38995e6 1.27998e7i 0.952696 1.65012i
\(571\) −494450. + 6.59797e6i −0.0634646 + 0.846877i 0.871105 + 0.491097i \(0.163404\pi\)
−0.934570 + 0.355780i \(0.884215\pi\)
\(572\) −43411.8 + 110611.i −0.00554776 + 0.0141355i
\(573\) −502064. 2.19969e6i −0.0638811 0.279881i
\(574\) 5.79514e6 + 1.06702e7i 0.734149 + 1.35174i
\(575\) −54799.1 + 240090.i −0.00691200 + 0.0302834i
\(576\) 5.50433e6 + 3.75279e6i 0.691271 + 0.471301i
\(577\) −9.66543e6 8.96821e6i −1.20860 1.12141i −0.989321 0.145751i \(-0.953440\pi\)
−0.219276 0.975663i \(-0.570369\pi\)
\(578\) −2.41345e6 + 363769.i −0.300482 + 0.0452904i
\(579\) −5.95667e6 + 5.52698e6i −0.738426 + 0.685159i
\(580\) −148969. + 186801.i −0.0183876 + 0.0230574i
\(581\) 1.15782e7 + 5.95228e6i 1.42299 + 0.731548i
\(582\) 8.00820e6 + 1.00420e7i 0.980003 + 1.22888i
\(583\) −1.02340e7 1.54253e6i −1.24703 0.187959i
\(584\) −9.34855e6 + 6.37374e6i −1.13426 + 0.773325i
\(585\) −909944. 2.31850e6i −0.109932 0.280103i
\(586\) −5.53751e6 + 1.70809e6i −0.666147 + 0.205479i
\(587\) 1.56507e7 1.87473 0.937364 0.348352i \(-0.113258\pi\)
0.937364 + 0.348352i \(0.113258\pi\)
\(588\) −268309. + 591083.i −0.0320031 + 0.0705026i
\(589\) 3.94484e6 0.468534
\(590\) 8.64657e6 2.66711e6i 1.02262 0.315436i
\(591\) 3.40998e6 + 8.68849e6i 0.401590 + 1.02324i
\(592\) 3.71331e6 2.53169e6i 0.435468 0.296897i
\(593\) 2.56289e6 + 386293.i 0.299290 + 0.0451107i 0.296971 0.954887i \(-0.404024\pi\)
0.00231944 + 0.999997i \(0.499262\pi\)
\(594\) −1.03437e6 1.29707e6i −0.120285 0.150833i
\(595\) −4.51355e6 5.97267e6i −0.522668 0.691634i
\(596\) 406160. 509308.i 0.0468362 0.0587307i
\(597\) −9.52577e6 + 8.83862e6i −1.09387 + 1.01496i
\(598\) −1.00197e6 + 151022.i −0.114578 + 0.0172698i
\(599\) −2.90760e6 2.69786e6i −0.331106 0.307222i 0.497047 0.867724i \(-0.334418\pi\)
−0.828153 + 0.560502i \(0.810608\pi\)
\(600\) 942726. + 642740.i 0.106907 + 0.0728882i
\(601\) 594346. 2.60400e6i 0.0671202 0.294073i −0.930216 0.367012i \(-0.880381\pi\)
0.997336 + 0.0729392i \(0.0232379\pi\)
\(602\) −1.36533e7 + 3.82488e6i −1.53549 + 0.430157i
\(603\) −1.78800e6 7.83375e6i −0.200251 0.877358i
\(604\) 146874. 374230.i 0.0163815 0.0417394i
\(605\) −331385. + 4.42202e6i −0.0368081 + 0.491170i
\(606\) 6.77384e6 1.17326e7i 0.749296 1.29782i
\(607\) −7.11577e6 1.23249e7i −0.783881 1.35772i −0.929666 0.368405i \(-0.879904\pi\)
0.145785 0.989316i \(-0.453429\pi\)
\(608\) 1.32705e6 639075.i 0.145589 0.0701121i
\(609\) 5.94087e6 737700.i 0.649093 0.0806002i
\(610\) 9.02839e6 + 4.34784e6i 0.982394 + 0.473096i
\(611\) −3835.63 51182.9i −0.000415656 0.00554654i
\(612\) −337523. 104112.i −0.0364271 0.0112363i
\(613\) −1.46478e7 4.51824e6i −1.57442 0.485644i −0.620124 0.784504i \(-0.712918\pi\)
−0.954297 + 0.298860i \(0.903394\pi\)
\(614\) 513353. + 6.85022e6i 0.0549535 + 0.733303i
\(615\) 1.87727e7 + 9.04045e6i 2.00142 + 0.963834i
\(616\) −3.67441e6 + 5.99773e6i −0.390154 + 0.636847i
\(617\) 3.80677e6 1.83325e6i 0.402572 0.193869i −0.221631 0.975131i \(-0.571138\pi\)
0.624203 + 0.781262i \(0.285424\pi\)
\(618\) −9.59253e6 1.66148e7i −1.01033 1.74994i
\(619\) 1.69197e6 2.93058e6i 0.177487 0.307417i −0.763532 0.645770i \(-0.776536\pi\)
0.941019 + 0.338353i \(0.109870\pi\)
\(620\) −14461.9 + 192981.i −0.00151094 + 0.0201621i
\(621\) −316909. + 807471.i −0.0329766 + 0.0840229i
\(622\) −789790. 3.46030e6i −0.0818532 0.358622i
\(623\) 649334. + 1.33115e7i 0.0670267 + 1.37406i
\(624\) −984118. + 4.31170e6i −0.101178 + 0.443289i
\(625\) −8.75610e6 5.96981e6i −0.896624 0.611308i
\(626\) −3.48555e6 3.23412e6i −0.355497 0.329853i
\(627\) 1.32877e7 2.00280e6i 1.34984 0.203455i
\(628\) 140292. 130172.i 0.0141950 0.0131710i
\(629\) −2.87842e6 + 3.60942e6i −0.290086 + 0.363756i
\(630\) −1.58666e6 7.89450e6i −0.159270 0.792452i
\(631\) −3.06776e6 3.84685e6i −0.306724 0.384619i 0.604449 0.796644i \(-0.293393\pi\)
−0.911173 + 0.412024i \(0.864822\pi\)
\(632\) −5.39151e6 812640.i −0.536930 0.0809292i
\(633\) −5.11473e6 + 3.48716e6i −0.507357 + 0.345910i
\(634\) −5.47048e6 1.39386e7i −0.540508 1.37719i
\(635\) 1.48130e7 4.56920e6i 1.45784 0.449683i
\(636\) 1.36936e6 0.134238
\(637\) −3.69565e6 192780.i −0.360863 0.0188241i
\(638\) 3.54289e6 0.344593
\(639\) −70846.0 + 21853.1i −0.00686378 + 0.00211719i
\(640\) −3.58234e6 9.12766e6i −0.345714 0.880865i
\(641\) −7.38567e6 + 5.03546e6i −0.709977 + 0.484054i −0.863666 0.504065i \(-0.831837\pi\)
0.153688 + 0.988119i \(0.450885\pi\)
\(642\) −109585. 16517.2i −0.0104933 0.00158161i
\(643\) −2.49633e6 3.13029e6i −0.238108 0.298578i 0.648392 0.761307i \(-0.275442\pi\)
−0.886500 + 0.462729i \(0.846870\pi\)
\(644\) 200797. + 5233.63i 0.0190784 + 0.000497266i
\(645\) −1.51701e7 + 1.90226e7i −1.43578 + 1.80041i
\(646\) 8.75950e6 8.12763e6i 0.825844 0.766271i
\(647\) −2.01065e7 + 3.03056e6i −1.88832 + 0.284618i −0.988450 0.151548i \(-0.951574\pi\)
−0.899866 + 0.436166i \(0.856336\pi\)
\(648\) 9.35115e6 + 8.67660e6i 0.874838 + 0.811731i
\(649\) 6.79738e6 + 4.63437e6i 0.633475 + 0.431896i
\(650\) −79054.8 + 346362.i −0.00733913 + 0.0321548i
\(651\) 3.63917e6 3.20431e6i 0.336550 0.296334i
\(652\) −186344. 816426.i −0.0171671 0.0752139i
\(653\) 5.83542e6 1.48684e7i 0.535537 1.36453i −0.365512 0.930807i \(-0.619106\pi\)
0.901048 0.433718i \(-0.142799\pi\)
\(654\) −1.63532e6 + 2.18219e7i −0.149506 + 1.99502i
\(655\) −5.87268e6 + 1.01718e7i −0.534852 + 0.926390i
\(656\) −8.19956e6 1.42021e7i −0.743928 1.28852i
\(657\) 1.06106e7 5.10979e6i 0.959017 0.461838i
\(658\) 16708.0 165096.i 0.00150439 0.0148652i
\(659\) 1.88081e7 + 9.05752e6i 1.68707 + 0.812449i 0.995970 + 0.0896866i \(0.0285865\pi\)
0.691097 + 0.722762i \(0.257128\pi\)
\(660\) 49263.4 + 657375.i 0.00440215 + 0.0587426i
\(661\) −5.10389e6 1.57434e6i −0.454357 0.140151i 0.0591254 0.998251i \(-0.481169\pi\)
−0.513483 + 0.858100i \(0.671645\pi\)
\(662\) 1.50372e7 + 4.63837e6i 1.33359 + 0.411359i
\(663\) −339501. 4.53032e6i −0.0299956 0.400263i
\(664\) −1.68161e7 8.09821e6i −1.48015 0.712802i
\(665\) −1.58272e7 5.33747e6i −1.38787 0.468039i
\(666\) −4.47393e6 + 2.15453e6i −0.390844 + 0.188221i
\(667\) −926223. 1.60426e6i −0.0806122 0.139624i
\(668\) 296312. 513228.i 0.0256926 0.0445009i
\(669\) 1.49565e6 1.99581e7i 0.129201 1.72407i
\(670\) −4.87194e6 + 1.24135e7i −0.419291 + 1.06834i
\(671\) 2.02734e6 + 8.88237e6i 0.173828 + 0.761592i
\(672\) 705118. 1.66749e6i 0.0602336 0.142443i
\(673\) −4.21551e6 + 1.84693e7i −0.358767 + 1.57186i 0.397504 + 0.917601i \(0.369877\pi\)
−0.756270 + 0.654259i \(0.772981\pi\)
\(674\) 7.48548e6 + 5.10352e6i 0.634702 + 0.432733i
\(675\) 222944. + 206862.i 0.0188337 + 0.0174752i
\(676\) −590120. + 88946.3i −0.0496677 + 0.00748619i
\(677\) −533879. + 495367.i −0.0447683 + 0.0415389i −0.702240 0.711941i \(-0.747817\pi\)
0.657471 + 0.753480i \(0.271626\pi\)
\(678\) 1.15611e7 1.44971e7i 0.965881 1.21118i
\(679\) 9.34277e6 1.11089e7i 0.777680 0.924688i
\(680\) 6.69187e6 + 8.39134e6i 0.554977 + 0.695920i
\(681\) −4.67736e6 704999.i −0.386486 0.0582533i
\(682\) 2.37098e6 1.61651e6i 0.195194 0.133081i
\(683\) −2.78154e6 7.08725e6i −0.228157 0.581334i 0.770251 0.637741i \(-0.220131\pi\)
−0.998408 + 0.0564065i \(0.982036\pi\)
\(684\) −753057. + 232287.i −0.0615443 + 0.0189839i
\(685\) −1.35443e7 −1.10289
\(686\) −1.16553e7 2.70167e6i −0.945613 0.219191i
\(687\) 1.15515e7 0.933787
\(688\) 1.82989e7 5.64447e6i 1.47385 0.454624i
\(689\) 2.85211e6 + 7.26705e6i 0.228885 + 0.583190i
\(690\) −4.64470e6 + 3.16670e6i −0.371394 + 0.253212i
\(691\) 1.70855e7 + 2.57523e6i 1.36123 + 0.205173i 0.788735 0.614733i \(-0.210736\pi\)
0.572498 + 0.819906i \(0.305974\pi\)
\(692\) −349812. 438650.i −0.0277696 0.0348219i
\(693\) 4.71225e6 5.60303e6i 0.372731 0.443190i
\(694\) −1.12775e7 + 1.41415e7i −0.888817 + 1.11454i
\(695\) 5.20968e6 4.83387e6i 0.409118 0.379606i
\(696\) −8.48682e6 + 1.27918e6i −0.664082 + 0.100094i
\(697\) 1.23488e7 + 1.14580e7i 0.962814 + 0.893361i
\(698\) −2.74388e6 1.87075e6i −0.213170 0.145337i
\(699\) 5.03061e6 2.20405e7i 0.389429 1.70620i
\(700\) 27428.7 64864.5i 0.00211573 0.00500336i
\(701\) 1.52986e6 + 6.70277e6i 0.117586 + 0.515180i 0.999076 + 0.0429766i \(0.0136841\pi\)
−0.881490 + 0.472203i \(0.843459\pi\)
\(702\) −457182. + 1.16488e6i −0.0350144 + 0.0892152i
\(703\) −769740. + 1.02715e7i −0.0587430 + 0.783871i
\(704\) 5.02610e6 8.70547e6i 0.382208 0.662004i
\(705\) −142374. 246599.i −0.0107884 0.0186861i
\(706\) 1.35947e7 6.54687e6i 1.02650 0.494336i
\(707\) −1.45076e7 4.89248e6i −1.09156 0.368112i
\(708\) −980705. 472283.i −0.0735285 0.0354094i
\(709\) −1.41259e6 1.88496e7i −0.105536 1.40828i −0.758888 0.651222i \(-0.774257\pi\)
0.653352 0.757054i \(-0.273362\pi\)
\(710\) 117577. + 36267.6i 0.00875338 + 0.00270006i
\(711\) 5.42304e6 + 1.67279e6i 0.402318 + 0.124099i
\(712\) −1.42787e6 1.90536e7i −0.105557 1.40856i
\(713\) −1.35182e6 651003.i −0.0995853 0.0479578i
\(714\) 1.47886e6 1.46130e7i 0.108563 1.07274i
\(715\) −3.38601e6 + 1.63062e6i −0.247698 + 0.119285i
\(716\) −341241. 591047.i −0.0248759 0.0430864i
\(717\) 1.04388e7 1.80806e7i 0.758323 1.31345i
\(718\) −62795.5 + 837948.i −0.00454588 + 0.0606605i
\(719\) −1.10079e6 + 2.80476e6i −0.0794110 + 0.202336i −0.965065 0.262009i \(-0.915615\pi\)
0.885654 + 0.464345i \(0.153710\pi\)
\(720\) 2.41998e6 + 1.06026e7i 0.173972 + 0.762222i
\(721\) −1.62723e7 + 1.43279e7i −1.16577 + 1.02646i
\(722\) 2.90707e6 1.27367e7i 0.207545 0.909315i
\(723\) 3.22773e6 + 2.20063e6i 0.229642 + 0.156567i
\(724\) −76661.1 71131.1i −0.00543536 0.00504328i
\(725\) −642233. + 96801.1i −0.0453782 + 0.00683967i
\(726\) −6.37758e6 + 5.91753e6i −0.449070 + 0.416676i
\(727\) −4.90315e6 + 6.14835e6i −0.344064 + 0.431442i −0.923514 0.383566i \(-0.874696\pi\)
0.579450 + 0.815008i \(0.303267\pi\)
\(728\) 5.30375e6 + 138239.i 0.370898 + 0.00966723i
\(729\) −5.00240e6 6.27281e6i −0.348626 0.437163i
\(730\) −1.93267e7 2.91303e6i −1.34230 0.202320i
\(731\) −1.62531e7 + 1.10812e7i −1.12498 + 0.766995i
\(732\) −440400. 1.12212e6i −0.0303788 0.0774038i
\(733\) −1.71090e7 + 5.27744e6i −1.17616 + 0.362797i −0.820405 0.571783i \(-0.806252\pi\)
−0.355753 + 0.934580i \(0.615776\pi\)
\(734\) −7.37429e6 −0.505220
\(735\) −1.89363e7 + 7.93219e6i −1.29294 + 0.541595i
\(736\) −560220. −0.0381210
\(737\) −1.15857e7 + 3.57373e6i −0.785697 + 0.242355i
\(738\) 6.61977e6 + 1.68669e7i 0.447406 + 1.13997i
\(739\) 1.09920e7 7.49421e6i 0.740398 0.504795i −0.133413 0.991061i \(-0.542594\pi\)
0.873811 + 0.486266i \(0.161641\pi\)
\(740\) −499657. 75311.2i −0.0335423 0.00505569i
\(741\) −6.31974e6 7.92470e6i −0.422818 0.530197i
\(742\) 4.97320e6 + 2.47443e7i 0.331609 + 1.64993i
\(743\) −1.15550e6 + 1.44895e6i −0.0767888 + 0.0962901i −0.818742 0.574161i \(-0.805328\pi\)
0.741953 + 0.670452i \(0.233900\pi\)
\(744\) −5.09591e6 + 4.72831e6i −0.337512 + 0.313166i
\(745\) 2.03732e7 3.07076e6i 1.34483 0.202701i
\(746\) −1.81716e7 1.68608e7i −1.19549 1.10925i
\(747\) 1.60514e7 + 1.09436e7i 1.05247 + 0.717564i
\(748\) −118597. + 519607.i −0.00775031 + 0.0339563i
\(749\) 6102.03 + 125093.i 0.000397438 + 0.00814757i
\(750\) −4.22570e6 1.85140e7i −0.274312 1.20184i
\(751\) −4.91719e6 + 1.25288e7i −0.318139 + 0.810606i 0.678937 + 0.734196i \(0.262441\pi\)
−0.997077 + 0.0764095i \(0.975654\pi\)
\(752\) −16747.9 + 223485.i −0.00107998 + 0.0144114i
\(753\) −8.47383e6 + 1.46771e7i −0.544618 + 0.943306i
\(754\) −1.33620e6 2.31436e6i −0.0855937 0.148253i
\(755\) 1.14558e7 5.51684e6i 0.731408 0.352227i
\(756\) 129587. 211525.i 0.00824626 0.0134603i
\(757\) 2.37107e7 + 1.14185e7i 1.50385 + 0.724215i 0.990950 0.134234i \(-0.0428573\pi\)
0.512899 + 0.858449i \(0.328572\pi\)
\(758\) 296953. + 3.96256e6i 0.0187722 + 0.250497i
\(759\) −4.88395e6 1.50650e6i −0.307728 0.0949216i
\(760\) 2.28827e7 + 7.05837e6i 1.43705 + 0.443272i