Properties

Label 49.6.g.a.2.12
Level $49$
Weight $6$
Character 49.2
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.12
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.768968 - 0.237195i) q^{2} +(-8.72763 + 22.2376i) q^{3} +(-25.9046 - 17.6615i) q^{4} +(28.5592 - 4.30461i) q^{5} +(11.9859 - 15.0299i) q^{6} +(-107.947 + 71.7951i) q^{7} +(31.7861 + 39.8585i) q^{8} +(-240.209 - 222.882i) q^{9} +O(q^{10})\) \(q+(-0.768968 - 0.237195i) q^{2} +(-8.72763 + 22.2376i) q^{3} +(-25.9046 - 17.6615i) q^{4} +(28.5592 - 4.30461i) q^{5} +(11.9859 - 15.0299i) q^{6} +(-107.947 + 71.7951i) q^{7} +(31.7861 + 39.8585i) q^{8} +(-240.209 - 222.882i) q^{9} +(-22.9821 - 3.46400i) q^{10} +(432.017 - 400.853i) q^{11} +(618.834 - 421.914i) q^{12} +(-206.502 - 904.746i) q^{13} +(100.037 - 29.6037i) q^{14} +(-153.530 + 672.658i) q^{15} +(351.550 + 895.735i) q^{16} +(-156.851 - 2093.03i) q^{17} +(131.847 + 228.365i) q^{18} +(-953.349 + 1651.25i) q^{19} +(-815.840 - 392.888i) q^{20} +(-654.435 - 3027.08i) q^{21} +(-427.287 + 205.771i) q^{22} +(-24.4696 + 326.523i) q^{23} +(-1163.78 + 358.977i) q^{24} +(-2189.07 + 675.238i) q^{25} +(-55.8077 + 744.702i) q^{26} +(1822.67 - 877.751i) q^{27} +(4064.32 + 46.6713i) q^{28} +(3836.61 + 1847.61i) q^{29} +(277.611 - 480.836i) q^{30} +(-3561.03 - 6167.89i) q^{31} +(-179.781 - 2399.01i) q^{32} +(5143.54 + 13105.5i) q^{33} +(-375.843 + 1646.68i) q^{34} +(-2773.82 + 2515.08i) q^{35} +(2286.11 + 10016.1i) q^{36} +(-5543.25 + 3779.32i) q^{37} +(1124.76 - 1043.63i) q^{38} +(21921.7 + 3304.16i) q^{39} +(1079.36 + 1001.50i) q^{40} +(-8496.33 - 10654.1i) q^{41} +(-214.769 + 2482.95i) q^{42} +(-2372.92 + 2975.55i) q^{43} +(-18270.9 + 2753.89i) q^{44} +(-7819.60 - 5331.31i) q^{45} +(96.2661 - 245.282i) q^{46} +(-14695.8 - 4533.05i) q^{47} -22987.2 q^{48} +(6497.93 - 15500.1i) q^{49} +1843.49 q^{50} +(47913.0 + 14779.2i) q^{51} +(-10629.8 + 27084.2i) q^{52} +(3382.97 + 2306.47i) q^{53} +(-1609.77 + 242.634i) q^{54} +(10612.5 - 13307.7i) q^{55} +(-6292.84 - 2020.50i) q^{56} +(-28399.4 - 35611.7i) q^{57} +(-2511.98 - 2330.78i) q^{58} +(35270.7 + 5316.20i) q^{59} +(15857.2 - 14713.4i) q^{60} +(12422.3 - 8469.36i) q^{61} +(1275.33 + 5587.57i) q^{62} +(41931.6 + 6813.47i) q^{63} +(6421.09 - 28132.6i) q^{64} +(-9792.12 - 24949.9i) q^{65} +(-846.649 - 11297.7i) q^{66} +(-24515.4 - 42461.9i) q^{67} +(-32902.8 + 56989.3i) q^{68} +(-7047.55 - 3393.92i) q^{69} +(2729.54 - 1276.08i) q^{70} +(-25296.4 + 12182.1i) q^{71} +(1248.41 - 16658.9i) q^{72} +(-56676.3 + 17482.3i) q^{73} +(5159.02 - 1591.35i) q^{74} +(4089.67 - 54572.9i) q^{75} +(53859.6 - 25937.4i) q^{76} +(-17855.5 + 74287.4i) q^{77} +(-16073.3 - 7740.52i) q^{78} +(779.260 - 1349.72i) q^{79} +(13895.8 + 24068.2i) q^{80} +(-2339.02 - 31212.0i) q^{81} +(4006.31 + 10207.9i) q^{82} +(824.981 - 3614.48i) q^{83} +(-36509.7 + 89973.5i) q^{84} +(-13489.2 - 59100.1i) q^{85} +(2530.49 - 1725.26i) q^{86} +(-74571.0 + 69191.8i) q^{87} +(29709.5 + 4477.99i) q^{88} +(-18058.2 - 16755.6i) q^{89} +(4748.46 + 5954.38i) q^{90} +(87247.6 + 82838.4i) q^{91} +(6400.75 - 8026.29i) q^{92} +(168239. - 25357.9i) q^{93} +(10225.4 + 6971.55i) q^{94} +(-20118.9 + 51262.1i) q^{95} +(54917.3 + 16939.7i) q^{96} +37144.3 q^{97} +(-8673.25 + 10377.8i) q^{98} -193117. q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9} - 792 q^{10} - 635 q^{11} + 3605 q^{12} + 1834 q^{13} - 875 q^{14} - 2572 q^{15} + 3735 q^{16} - 1023 q^{17} - 1336 q^{18} + 9741 q^{19} + 8330 q^{20} + 1512 q^{21} + 842 q^{22} - 1553 q^{23} + 1756 q^{24} + 13144 q^{25} - 1946 q^{26} - 19849 q^{27} - 31584 q^{28} - 30356 q^{29} + 6129 q^{30} + 43903 q^{31} + 27725 q^{32} - 3412 q^{33} - 73182 q^{34} - 17360 q^{35} - 102868 q^{36} - 22105 q^{37} + 19116 q^{38} + 109165 q^{39} + 77354 q^{40} + 47446 q^{41} + 157738 q^{42} + 6674 q^{43} + 15154 q^{44} - 130923 q^{45} - 136952 q^{46} - 195163 q^{47} - 151484 q^{48} - 131194 q^{49} + 263000 q^{50} - 84276 q^{51} - 58758 q^{52} - 110577 q^{53} + 170313 q^{54} + 290245 q^{55} + 79688 q^{56} + 47310 q^{57} + 252156 q^{58} + 127308 q^{59} + 86254 q^{60} + 166863 q^{61} - 63578 q^{62} - 243033 q^{63} - 293812 q^{64} - 16702 q^{65} - 661788 q^{66} + 46195 q^{67} + 393869 q^{68} + 321394 q^{69} - 64330 q^{70} - 61793 q^{71} + 333944 q^{72} + 21699 q^{73} + 133514 q^{74} - 431136 q^{75} + 3087 q^{76} - 48993 q^{77} - 450576 q^{78} - 181 q^{79} + 264228 q^{80} + 142090 q^{81} - 512442 q^{82} + 102424 q^{83} + 344932 q^{84} - 205502 q^{85} + 611991 q^{86} + 1427200 q^{87} + 685993 q^{88} + 145800 q^{89} + 677844 q^{90} + 732956 q^{91} + 10018 q^{92} - 1233536 q^{93} - 601938 q^{94} - 945265 q^{95} - 2372958 q^{96} - 1932952 q^{97} - 672973 q^{98} + 1090736 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.768968 0.237195i −0.135936 0.0419306i 0.226041 0.974118i \(-0.427422\pi\)
−0.361976 + 0.932187i \(0.617898\pi\)
\(3\) −8.72763 + 22.2376i −0.559878 + 1.42654i 0.318199 + 0.948024i \(0.396922\pi\)
−0.878076 + 0.478521i \(0.841173\pi\)
\(4\) −25.9046 17.6615i −0.809518 0.551920i
\(5\) 28.5592 4.30461i 0.510882 0.0770031i 0.111458 0.993769i \(-0.464448\pi\)
0.399425 + 0.916766i \(0.369210\pi\)
\(6\) 11.9859 15.0299i 0.135923 0.170442i
\(7\) −107.947 + 71.7951i −0.832653 + 0.553796i
\(8\) 31.7861 + 39.8585i 0.175595 + 0.220189i
\(9\) −240.209 222.882i −0.988515 0.917208i
\(10\) −22.9821 3.46400i −0.0726759 0.0109541i
\(11\) 432.017 400.853i 1.07651 0.998857i 0.0765131 0.997069i \(-0.475621\pi\)
0.999998 0.00178816i \(-0.000569191\pi\)
\(12\) 618.834 421.914i 1.24057 0.845806i
\(13\) −206.502 904.746i −0.338896 1.48480i −0.801370 0.598169i \(-0.795895\pi\)
0.462474 0.886633i \(-0.346962\pi\)
\(14\) 100.037 29.6037i 0.136408 0.0403670i
\(15\) −153.530 + 672.658i −0.176183 + 0.771909i
\(16\) 351.550 + 895.735i 0.343311 + 0.874742i
\(17\) −156.851 2093.03i −0.131633 1.75652i −0.538124 0.842865i \(-0.680867\pi\)
0.406491 0.913655i \(-0.366752\pi\)
\(18\) 131.847 + 228.365i 0.0959154 + 0.166130i
\(19\) −953.349 + 1651.25i −0.605854 + 1.04937i 0.386062 + 0.922473i \(0.373835\pi\)
−0.991916 + 0.126897i \(0.959498\pi\)
\(20\) −815.840 392.888i −0.456068 0.219631i
\(21\) −654.435 3027.08i −0.323831 1.49787i
\(22\) −427.287 + 205.771i −0.188219 + 0.0906415i
\(23\) −24.4696 + 326.523i −0.00964509 + 0.128705i −0.999948 0.0102219i \(-0.996746\pi\)
0.990303 + 0.138927i \(0.0443653\pi\)
\(24\) −1163.78 + 358.977i −0.412421 + 0.127215i
\(25\) −2189.07 + 675.238i −0.700501 + 0.216076i
\(26\) −55.8077 + 744.702i −0.0161905 + 0.216048i
\(27\) 1822.67 877.751i 0.481170 0.231719i
\(28\) 4064.32 + 46.6713i 0.979699 + 0.0112501i
\(29\) 3836.61 + 1847.61i 0.847134 + 0.407958i 0.806513 0.591216i \(-0.201352\pi\)
0.0406211 + 0.999175i \(0.487066\pi\)
\(30\) 277.611 480.836i 0.0563162 0.0975425i
\(31\) −3561.03 6167.89i −0.665536 1.15274i −0.979140 0.203189i \(-0.934869\pi\)
0.313603 0.949554i \(-0.398464\pi\)
\(32\) −179.781 2399.01i −0.0310362 0.414149i
\(33\) 5143.54 + 13105.5i 0.822199 + 2.09493i
\(34\) −375.843 + 1646.68i −0.0557583 + 0.244293i
\(35\) −2773.82 + 2515.08i −0.382744 + 0.347041i
\(36\) 2286.11 + 10016.1i 0.293996 + 1.28808i
\(37\) −5543.25 + 3779.32i −0.665671 + 0.453847i −0.848428 0.529311i \(-0.822450\pi\)
0.182756 + 0.983158i \(0.441498\pi\)
\(38\) 1124.76 1043.63i 0.126358 0.117243i
\(39\) 21921.7 + 3304.16i 2.30788 + 0.347856i
\(40\) 1079.36 + 1001.50i 0.106664 + 0.0989694i
\(41\) −8496.33 10654.1i −0.789353 0.989818i −0.999925 0.0122394i \(-0.996104\pi\)
0.210572 0.977578i \(-0.432467\pi\)
\(42\) −214.769 + 2482.95i −0.0187866 + 0.217193i
\(43\) −2372.92 + 2975.55i −0.195710 + 0.245412i −0.869997 0.493057i \(-0.835880\pi\)
0.674287 + 0.738469i \(0.264451\pi\)
\(44\) −18270.9 + 2753.89i −1.42275 + 0.214444i
\(45\) −7819.60 5331.31i −0.575643 0.392467i
\(46\) 96.2661 245.282i 0.00670778 0.0170911i
\(47\) −14695.8 4533.05i −0.970395 0.299327i −0.231266 0.972891i \(-0.574287\pi\)
−0.739129 + 0.673563i \(0.764763\pi\)
\(48\) −22987.2 −1.44007
\(49\) 6497.93 15500.1i 0.386621 0.922239i
\(50\) 1843.49 0.104283
\(51\) 47913.0 + 14779.2i 2.57945 + 0.795656i
\(52\) −10629.8 + 27084.2i −0.545149 + 1.38902i
\(53\) 3382.97 + 2306.47i 0.165428 + 0.112787i 0.643204 0.765695i \(-0.277605\pi\)
−0.477776 + 0.878482i \(0.658557\pi\)
\(54\) −1609.77 + 242.634i −0.0751242 + 0.0113232i
\(55\) 10612.5 13307.7i 0.473056 0.593193i
\(56\) −6292.84 2020.50i −0.268149 0.0860973i
\(57\) −28399.4 35611.7i −1.15777 1.45180i
\(58\) −2511.98 2330.78i −0.0980498 0.0909769i
\(59\) 35270.7 + 5316.20i 1.31912 + 0.198825i 0.770604 0.637315i \(-0.219955\pi\)
0.548516 + 0.836140i \(0.315193\pi\)
\(60\) 15857.2 14713.4i 0.568656 0.527635i
\(61\) 12422.3 8469.36i 0.427441 0.291424i −0.330428 0.943831i \(-0.607193\pi\)
0.757869 + 0.652407i \(0.226241\pi\)
\(62\) 1275.33 + 5587.57i 0.0421349 + 0.184605i
\(63\) 41931.6 + 6813.47i 1.33104 + 0.216280i
\(64\) 6421.09 28132.6i 0.195956 0.858540i
\(65\) −9792.12 24949.9i −0.287471 0.732463i
\(66\) −846.649 11297.7i −0.0239245 0.319251i
\(67\) −24515.4 42461.9i −0.667194 1.15561i −0.978685 0.205365i \(-0.934162\pi\)
0.311492 0.950249i \(-0.399171\pi\)
\(68\) −32902.8 + 56989.3i −0.862900 + 1.49459i
\(69\) −7047.55 3393.92i −0.178203 0.0858181i
\(70\) 2729.54 1276.08i 0.0665801 0.0311266i
\(71\) −25296.4 + 12182.1i −0.595542 + 0.286798i −0.707273 0.706940i \(-0.750075\pi\)
0.111731 + 0.993739i \(0.464361\pi\)
\(72\) 1248.41 16658.9i 0.0283810 0.378717i
\(73\) −56676.3 + 17482.3i −1.24479 + 0.383965i −0.846051 0.533101i \(-0.821026\pi\)
−0.398734 + 0.917067i \(0.630550\pi\)
\(74\) 5159.02 1591.35i 0.109519 0.0337820i
\(75\) 4089.67 54572.9i 0.0839528 1.12027i
\(76\) 53859.6 25937.4i 1.06962 0.515101i
\(77\) −17855.5 + 74287.4i −0.343198 + 1.42787i
\(78\) −16073.3 7740.52i −0.299137 0.144057i
\(79\) 779.260 1349.72i 0.0140480 0.0243319i −0.858916 0.512117i \(-0.828862\pi\)
0.872964 + 0.487785i \(0.162195\pi\)
\(80\) 13895.8 + 24068.2i 0.242749 + 0.420454i
\(81\) −2339.02 31212.0i −0.0396114 0.528578i
\(82\) 4006.31 + 10207.9i 0.0657976 + 0.167650i
\(83\) 824.981 3614.48i 0.0131446 0.0575905i −0.967930 0.251219i \(-0.919169\pi\)
0.981075 + 0.193629i \(0.0620257\pi\)
\(84\) −36509.7 + 89973.5i −0.564560 + 1.39129i
\(85\) −13489.2 59100.1i −0.202507 0.887239i
\(86\) 2530.49 1725.26i 0.0368942 0.0251541i
\(87\) −74571.0 + 69191.8i −1.05626 + 0.980068i
\(88\) 29709.5 + 4477.99i 0.408967 + 0.0616419i
\(89\) −18058.2 16755.6i −0.241657 0.224225i 0.550041 0.835138i \(-0.314612\pi\)
−0.791698 + 0.610913i \(0.790803\pi\)
\(90\) 4748.46 + 5954.38i 0.0617940 + 0.0774873i
\(91\) 87247.6 + 82838.4i 1.10446 + 1.04864i
\(92\) 6400.75 8026.29i 0.0788427 0.0988656i
\(93\) 168239. 25357.9i 2.01706 0.304023i
\(94\) 10225.4 + 6971.55i 0.119360 + 0.0813785i
\(95\) −20118.9 + 51262.1i −0.228715 + 0.582757i
\(96\) 54917.3 + 16939.7i 0.608178 + 0.187598i
\(97\) 37144.3 0.400832 0.200416 0.979711i \(-0.435771\pi\)
0.200416 + 0.979711i \(0.435771\pi\)
\(98\) −8673.25 + 10377.8i −0.0912255 + 0.109154i
\(99\) −193117. −1.98031
\(100\) 68632.6 + 21170.3i 0.686326 + 0.211703i
\(101\) −12971.8 + 33051.6i −0.126531 + 0.322396i −0.980076 0.198624i \(-0.936353\pi\)
0.853545 + 0.521019i \(0.174448\pi\)
\(102\) −33338.0 22729.5i −0.317277 0.216316i
\(103\) 57874.1 8723.12i 0.537516 0.0810174i 0.125326 0.992116i \(-0.460002\pi\)
0.412189 + 0.911098i \(0.364764\pi\)
\(104\) 29497.9 36989.2i 0.267429 0.335345i
\(105\) −31720.5 83633.8i −0.280780 0.740301i
\(106\) −2054.31 2576.03i −0.0177583 0.0222683i
\(107\) 98325.5 + 91232.7i 0.830246 + 0.770355i 0.975723 0.219006i \(-0.0702815\pi\)
−0.145478 + 0.989362i \(0.546472\pi\)
\(108\) −62717.8 9453.19i −0.517406 0.0779864i
\(109\) −21597.1 + 20039.2i −0.174112 + 0.161552i −0.762415 0.647088i \(-0.775987\pi\)
0.588303 + 0.808640i \(0.299796\pi\)
\(110\) −11317.2 + 7715.95i −0.0891781 + 0.0608006i
\(111\) −35663.8 156253.i −0.274739 1.20371i
\(112\) −102258. 71452.0i −0.770287 0.538232i
\(113\) −24717.7 + 108295.i −0.182101 + 0.797836i 0.798527 + 0.601958i \(0.205613\pi\)
−0.980628 + 0.195878i \(0.937244\pi\)
\(114\) 13391.3 + 34120.5i 0.0965074 + 0.245897i
\(115\) 706.724 + 9430.58i 0.00498317 + 0.0664957i
\(116\) −66754.2 115622.i −0.460610 0.797800i
\(117\) −152047. + 263354.i −1.02687 + 1.77859i
\(118\) −25861.1 12454.0i −0.170978 0.0823389i
\(119\) 167201. + 214674.i 1.08236 + 1.38967i
\(120\) −31691.2 + 15261.7i −0.200903 + 0.0967497i
\(121\) 13920.0 185749.i 0.0864322 1.15336i
\(122\) −11561.2 + 3566.16i −0.0703241 + 0.0216921i
\(123\) 311074. 95953.5i 1.85396 0.571871i
\(124\) −16686.8 + 222670.i −0.0974582 + 1.30049i
\(125\) −140929. + 67867.7i −0.806724 + 0.388498i
\(126\) −30627.9 15185.3i −0.171866 0.0852113i
\(127\) −35245.0 16973.1i −0.193904 0.0933795i 0.334412 0.942427i \(-0.391462\pi\)
−0.528317 + 0.849047i \(0.677177\pi\)
\(128\) −50102.3 + 86779.7i −0.270292 + 0.468159i
\(129\) −45459.3 78737.7i −0.240518 0.416590i
\(130\) 1611.83 + 21508.3i 0.00836488 + 0.111622i
\(131\) −21264.5 54181.1i −0.108262 0.275848i 0.866468 0.499232i \(-0.166385\pi\)
−0.974730 + 0.223385i \(0.928289\pi\)
\(132\) 98221.3 430335.i 0.490649 2.14967i
\(133\) −15640.8 246692.i −0.0766706 1.20928i
\(134\) 8779.80 + 38466.8i 0.0422399 + 0.185065i
\(135\) 48275.6 32913.7i 0.227978 0.155433i
\(136\) 78439.3 72781.1i 0.363653 0.337420i
\(137\) −149766. 22573.6i −0.681729 0.102754i −0.200957 0.979600i \(-0.564405\pi\)
−0.480771 + 0.876846i \(0.659643\pi\)
\(138\) 4614.32 + 4281.46i 0.0206257 + 0.0191379i
\(139\) 384.903 + 482.653i 0.00168972 + 0.00211884i 0.782676 0.622430i \(-0.213854\pi\)
−0.780986 + 0.624549i \(0.785283\pi\)
\(140\) 116275. 16162.4i 0.501377 0.0696924i
\(141\) 229064. 287237.i 0.970306 1.21673i
\(142\) 22341.6 3367.46i 0.0929810 0.0140146i
\(143\) −451883. 308088.i −1.84793 1.25990i
\(144\) 115197. 293518.i 0.462952 1.17958i
\(145\) 117524. + 36251.2i 0.464200 + 0.143187i
\(146\) 47729.0 0.185311
\(147\) 287973. + 279777.i 1.09915 + 1.06787i
\(148\) 210344. 0.789361
\(149\) 115949. + 35765.5i 0.427859 + 0.131977i 0.501203 0.865330i \(-0.332891\pi\)
−0.0733439 + 0.997307i \(0.523367\pi\)
\(150\) −16089.3 + 40994.8i −0.0583859 + 0.148765i
\(151\) 283957. + 193599.i 1.01347 + 0.690972i 0.951672 0.307117i \(-0.0993642\pi\)
0.0617979 + 0.998089i \(0.480317\pi\)
\(152\) −96119.5 + 14487.7i −0.337445 + 0.0508616i
\(153\) −428821. + 537724.i −1.48097 + 1.85708i
\(154\) 31350.9 52889.4i 0.106524 0.179708i
\(155\) −128251. 160821.i −0.428776 0.537668i
\(156\) −509516. 472762.i −1.67628 1.55536i
\(157\) −187687. 28289.3i −0.607694 0.0915951i −0.162016 0.986788i \(-0.551799\pi\)
−0.445679 + 0.895193i \(0.647038\pi\)
\(158\) −919.373 + 853.053i −0.00292987 + 0.00271853i
\(159\) −80815.8 + 55099.3i −0.253515 + 0.172844i
\(160\) −15461.2 67739.8i −0.0477466 0.209191i
\(161\) −20801.4 37003.9i −0.0632452 0.112508i
\(162\) −5604.71 + 24555.8i −0.0167790 + 0.0735135i
\(163\) 164829. + 419979.i 0.485921 + 1.23811i 0.938157 + 0.346209i \(0.112531\pi\)
−0.452236 + 0.891898i \(0.649374\pi\)
\(164\) 31927.8 + 426046.i 0.0926955 + 1.23694i
\(165\) 203309. + 352142.i 0.581363 + 1.00695i
\(166\) −1491.72 + 2583.74i −0.00420163 + 0.00727743i
\(167\) −497341. 239507.i −1.37995 0.664548i −0.410960 0.911653i \(-0.634807\pi\)
−0.968989 + 0.247105i \(0.920521\pi\)
\(168\) 99852.8 122304.i 0.272953 0.334323i
\(169\) −441399. + 212567.i −1.18882 + 0.572504i
\(170\) −3645.49 + 48645.6i −0.00967460 + 0.129099i
\(171\) 597036. 184161.i 1.56139 0.481624i
\(172\) 114022. 35171.2i 0.293879 0.0906496i
\(173\) −25901.1 + 345626.i −0.0657965 + 0.877993i 0.862477 + 0.506096i \(0.168912\pi\)
−0.928274 + 0.371897i \(0.878707\pi\)
\(174\) 73754.7 35518.4i 0.184678 0.0889365i
\(175\) 187824. 230054.i 0.463612 0.567851i
\(176\) 510934. + 246053.i 1.24332 + 0.598751i
\(177\) −426049. + 737939.i −1.02218 + 1.77047i
\(178\) 9911.85 + 17167.8i 0.0234479 + 0.0406130i
\(179\) −30316.5 404546.i −0.0707207 0.943703i −0.913866 0.406016i \(-0.866918\pi\)
0.843145 0.537686i \(-0.180701\pi\)
\(180\) 108405. + 276211.i 0.249383 + 0.635418i
\(181\) 62491.0 273791.i 0.141782 0.621188i −0.853239 0.521521i \(-0.825365\pi\)
0.995021 0.0996674i \(-0.0317779\pi\)
\(182\) −47441.7 84394.8i −0.106165 0.188859i
\(183\) 79921.5 + 350159.i 0.176415 + 0.772926i
\(184\) −13792.5 + 9403.58i −0.0300330 + 0.0204762i
\(185\) −142042. + 131796.i −0.305132 + 0.283121i
\(186\) −135385. 20406.0i −0.286938 0.0432489i
\(187\) −906759. 841349.i −1.89622 1.75943i
\(188\) 300628. + 376976.i 0.620348 + 0.777892i
\(189\) −133733. + 225609.i −0.272322 + 0.459411i
\(190\) 27629.9 34646.8i 0.0555259 0.0696273i
\(191\) 177150. 26701.1i 0.351365 0.0529598i 0.0290114 0.999579i \(-0.490764\pi\)
0.322354 + 0.946619i \(0.395526\pi\)
\(192\) 569563. + 388321.i 1.11503 + 0.760218i
\(193\) 26274.2 66945.6i 0.0507734 0.129369i −0.903237 0.429142i \(-0.858816\pi\)
0.954010 + 0.299774i \(0.0969111\pi\)
\(194\) −28562.8 8810.45i −0.0544874 0.0168071i
\(195\) 640289. 1.20584
\(196\) −442080. + 286760.i −0.821979 + 0.533186i
\(197\) 174499. 0.320352 0.160176 0.987088i \(-0.448794\pi\)
0.160176 + 0.987088i \(0.448794\pi\)
\(198\) 148501. + 45806.4i 0.269194 + 0.0830355i
\(199\) −36511.0 + 93028.6i −0.0653569 + 0.166527i −0.959821 0.280613i \(-0.909462\pi\)
0.894464 + 0.447140i \(0.147557\pi\)
\(200\) −96495.9 65789.8i −0.170582 0.116301i
\(201\) 1.15821e6 174573.i 2.02208 0.304780i
\(202\) 17814.6 22338.8i 0.0307183 0.0385195i
\(203\) −546798. + 76006.0i −0.931294 + 0.129452i
\(204\) −980144. 1.22906e6i −1.64898 2.06775i
\(205\) −288510. 267698.i −0.479486 0.444898i
\(206\) −46572.4 7019.66i −0.0764646 0.0115252i
\(207\) 78653.9 72980.1i 0.127583 0.118380i
\(208\) 737817. 503035.i 1.18247 0.806195i
\(209\) 250045. + 1.09552e6i 0.395961 + 1.73482i
\(210\) 4554.52 + 71835.7i 0.00712679 + 0.112407i
\(211\) −185947. + 814687.i −0.287530 + 1.25975i 0.600373 + 0.799720i \(0.295019\pi\)
−0.887903 + 0.460031i \(0.847838\pi\)
\(212\) −46898.9 119496.i −0.0716676 0.182606i
\(213\) −50123.6 668852.i −0.0756995 1.01014i
\(214\) −53969.2 93477.4i −0.0805585 0.139531i
\(215\) −54960.2 + 95193.9i −0.0810872 + 0.140447i
\(216\) 92921.3 + 44748.6i 0.135513 + 0.0652596i
\(217\) 827226. + 410138.i 1.19254 + 0.591263i
\(218\) 21360.7 10286.8i 0.0304420 0.0146601i
\(219\) 105884. 1.41293e6i 0.149184 1.99072i
\(220\) −509946. + 157298.i −0.710343 + 0.219112i
\(221\) −1.86127e6 + 574126.i −2.56347 + 0.790727i
\(222\) −9638.21 + 128613.i −0.0131254 + 0.175147i
\(223\) 272080. 131027.i 0.366382 0.176440i −0.241629 0.970369i \(-0.577682\pi\)
0.608011 + 0.793928i \(0.291967\pi\)
\(224\) 191644. + 246057.i 0.255196 + 0.327654i
\(225\) 676332. + 325704.i 0.890643 + 0.428911i
\(226\) 44694.3 77412.8i 0.0582077 0.100819i
\(227\) −103708. 179628.i −0.133582 0.231371i 0.791473 0.611204i \(-0.209315\pi\)
−0.925055 + 0.379834i \(0.875981\pi\)
\(228\) 106720. + 1.42408e6i 0.135959 + 1.81425i
\(229\) −553079. 1.40922e6i −0.696944 1.77579i −0.628066 0.778160i \(-0.716153\pi\)
−0.0688787 0.997625i \(-0.521942\pi\)
\(230\) 1693.44 7419.45i 0.00211082 0.00924809i
\(231\) −1.49614e6 1.04542e6i −1.84477 1.28902i
\(232\) 48307.7 + 211650.i 0.0589245 + 0.258165i
\(233\) 191737. 130724.i 0.231375 0.157749i −0.442083 0.896974i \(-0.645760\pi\)
0.673458 + 0.739225i \(0.264808\pi\)
\(234\) 179386. 166446.i 0.214165 0.198716i
\(235\) −439213. 66200.7i −0.518807 0.0781975i
\(236\) −819781. 760646.i −0.958116 0.889002i
\(237\) 23213.4 + 29108.7i 0.0268453 + 0.0336630i
\(238\) −77652.3 204737.i −0.0888612 0.234290i
\(239\) 905923. 1.13599e6i 1.02588 1.28641i 0.0684785 0.997653i \(-0.478186\pi\)
0.957401 0.288760i \(-0.0932430\pi\)
\(240\) −656497. + 98951.0i −0.735706 + 0.110890i
\(241\) 654163. + 446001.i 0.725510 + 0.494645i 0.868879 0.495025i \(-0.164841\pi\)
−0.143369 + 0.989669i \(0.545793\pi\)
\(242\) −54762.9 + 139534.i −0.0601102 + 0.153158i
\(243\) 1.18425e6 + 365292.i 1.28655 + 0.396848i
\(244\) −471375. −0.506864
\(245\) 118854. 470640.i 0.126502 0.500927i
\(246\) −261965. −0.275998
\(247\) 1.69083e6 + 521552.i 1.76343 + 0.543945i
\(248\) 132652. 337991.i 0.136957 0.348960i
\(249\) 73177.3 + 49891.5i 0.0747960 + 0.0509950i
\(250\) 124468. 18760.5i 0.125952 0.0189843i
\(251\) 229129. 287319.i 0.229560 0.287859i −0.653689 0.756763i \(-0.726780\pi\)
0.883249 + 0.468904i \(0.155351\pi\)
\(252\) −965884. 917072.i −0.958128 0.909708i
\(253\) 120317. + 150872.i 0.118175 + 0.148186i
\(254\) 23076.3 + 21411.7i 0.0224431 + 0.0208241i
\(255\) 1.43197e6 + 215835.i 1.37906 + 0.207861i
\(256\) −617787. + 573222.i −0.589167 + 0.546667i
\(257\) 135166. 92154.7i 0.127654 0.0870331i −0.497810 0.867286i \(-0.665862\pi\)
0.625464 + 0.780253i \(0.284910\pi\)
\(258\) 16280.5 + 71329.5i 0.0152271 + 0.0667145i
\(259\) 327038. 805943.i 0.302934 0.746543i
\(260\) −186991. + 819260.i −0.171548 + 0.751603i
\(261\) −509789. 1.29892e6i −0.463222 1.18027i
\(262\) 3500.23 + 46707.3i 0.00315024 + 0.0420370i
\(263\) −178686. 309493.i −0.159294 0.275906i 0.775320 0.631569i \(-0.217589\pi\)
−0.934614 + 0.355663i \(0.884255\pi\)
\(264\) −358873. + 621587.i −0.316907 + 0.548898i
\(265\) 106543. + 51308.6i 0.0931992 + 0.0448824i
\(266\) −46487.0 + 193409.i −0.0402835 + 0.167599i
\(267\) 530210. 255335.i 0.455166 0.219196i
\(268\) −114878. + 1.53294e6i −0.0977010 + 1.30373i
\(269\) 1.82158e6 561882.i 1.53485 0.473439i 0.591800 0.806085i \(-0.298418\pi\)
0.943052 + 0.332646i \(0.107941\pi\)
\(270\) −44929.3 + 13858.9i −0.0375077 + 0.0115696i
\(271\) 37759.6 503866.i 0.0312323 0.416766i −0.959572 0.281463i \(-0.909180\pi\)
0.990804 0.135303i \(-0.0432007\pi\)
\(272\) 1.81966e6 876302.i 1.49131 0.718177i
\(273\) −2.60359e6 + 1.21720e6i −2.11430 + 0.988449i
\(274\) 109811. + 52882.1i 0.0883627 + 0.0425532i
\(275\) −675042. + 1.16921e6i −0.538269 + 0.932309i
\(276\) 122622. + 212388.i 0.0968940 + 0.167825i
\(277\) −36731.0 490142.i −0.0287630 0.383815i −0.992945 0.118574i \(-0.962168\pi\)
0.964182 0.265241i \(-0.0854515\pi\)
\(278\) −181.495 462.442i −0.000140849 0.000358876i
\(279\) −519316. + 2.27527e6i −0.399412 + 1.74994i
\(280\) −188416. 30615.8i −0.143623 0.0233373i
\(281\) 176833. + 774754.i 0.133597 + 0.585326i 0.996762 + 0.0804049i \(0.0256213\pi\)
−0.863165 + 0.504921i \(0.831522\pi\)
\(282\) −244274. + 166543.i −0.182917 + 0.124711i
\(283\) −955080. + 886185.i −0.708881 + 0.657746i −0.949821 0.312794i \(-0.898735\pi\)
0.240939 + 0.970540i \(0.422544\pi\)
\(284\) 870446. + 131199.i 0.640392 + 0.0965236i
\(285\) −964358. 894793.i −0.703277 0.652545i
\(286\) 274406. + 344094.i 0.198371 + 0.248750i
\(287\) 1.68206e6 + 540075.i 1.20541 + 0.387034i
\(288\) −491509. + 616333.i −0.349181 + 0.437859i
\(289\) −2.95217e6 + 444968.i −2.07920 + 0.313390i
\(290\) −81773.3 55752.1i −0.0570974 0.0389284i
\(291\) −324181. + 826001.i −0.224417 + 0.571805i
\(292\) 1.77694e6 + 548113.i 1.21960 + 0.376195i
\(293\) −1.16749e6 −0.794483 −0.397242 0.917714i \(-0.630032\pi\)
−0.397242 + 0.917714i \(0.630032\pi\)
\(294\) −155080. 283446.i −0.104638 0.191250i
\(295\) 1.03019e6 0.689225
\(296\) −326836. 100816.i −0.216821 0.0668803i
\(297\) 435574. 1.10982e6i 0.286531 0.730068i
\(298\) −80677.6 55005.1i −0.0526275 0.0358808i
\(299\) 300474. 45289.2i 0.194370 0.0292965i
\(300\) −1.06978e6 + 1.34146e6i −0.686263 + 0.860546i
\(301\) 42519.0 491565.i 0.0270500 0.312727i
\(302\) −172433. 216225.i −0.108794 0.136423i
\(303\) −621777. 576924.i −0.389070 0.361004i
\(304\) −1.81423e6 273451.i −1.12592 0.169706i
\(305\) 318313. 295351.i 0.195932 0.181798i
\(306\) 457295. 311778.i 0.279186 0.190345i
\(307\) −98050.0 429585.i −0.0593747 0.260138i 0.936525 0.350601i \(-0.114023\pi\)
−0.995900 + 0.0904628i \(0.971165\pi\)
\(308\) 1.77456e6 1.60903e6i 1.06589 0.966468i
\(309\) −311122. + 1.36311e6i −0.185368 + 0.812150i
\(310\) 60474.6 + 154087.i 0.0357412 + 0.0910670i
\(311\) −164008. 2.18854e6i −0.0961533 1.28308i −0.811519 0.584327i \(-0.801359\pi\)
0.715365 0.698751i \(-0.246260\pi\)
\(312\) 565106. + 978792.i 0.328657 + 0.569251i
\(313\) −1.44846e6 + 2.50880e6i −0.835689 + 1.44746i 0.0577789 + 0.998329i \(0.481598\pi\)
−0.893468 + 0.449127i \(0.851735\pi\)
\(314\) 137615. + 66272.0i 0.0787666 + 0.0379320i
\(315\) 1.22686e6 + 14088.3i 0.696657 + 0.00799983i
\(316\) −44024.4 + 21201.0i −0.0248014 + 0.0119437i
\(317\) 132882. 1.77318e6i 0.0742705 0.991071i −0.828232 0.560386i \(-0.810653\pi\)
0.902502 0.430685i \(-0.141728\pi\)
\(318\) 75214.1 23200.5i 0.0417092 0.0128656i
\(319\) 2.39810e6 739715.i 1.31944 0.406994i
\(320\) 62281.3 831086.i 0.0340003 0.453702i
\(321\) −2.88695e6 + 1.39028e6i −1.56378 + 0.753078i
\(322\) 7218.45 + 33388.8i 0.00387975 + 0.0179457i
\(323\) 3.60565e6 + 1.73639e6i 1.92299 + 0.926063i
\(324\) −490658. + 849844.i −0.259667 + 0.449756i
\(325\) 1.06297e6 + 1.84111e6i 0.558227 + 0.966878i
\(326\) −27131.7 362047.i −0.0141394 0.188678i
\(327\) −257132. 655162.i −0.132980 0.338828i
\(328\) 154590. 677302.i 0.0793407 0.347614i
\(329\) 1.91181e6 565758.i 0.973768 0.288165i
\(330\) −72812.0 319010.i −0.0368059 0.161257i
\(331\) −959676. + 654296.i −0.481454 + 0.328250i −0.779608 0.626268i \(-0.784582\pi\)
0.298154 + 0.954518i \(0.403629\pi\)
\(332\) −85207.8 + 79061.2i −0.0424262 + 0.0393657i
\(333\) 2.17388e6 + 327660.i 1.07430 + 0.161924i
\(334\) 325629. + 302140.i 0.159719 + 0.148198i
\(335\) −882922. 1.10715e6i −0.429844 0.539007i
\(336\) 2.48139e6 1.65037e6i 1.19908 0.797505i
\(337\) 2.45728e6 3.08133e6i 1.17864 1.47796i 0.334038 0.942560i \(-0.391589\pi\)
0.844597 0.535402i \(-0.179840\pi\)
\(338\) 389842. 58759.2i 0.185608 0.0279759i
\(339\) −2.19251e6 1.49482e6i −1.03619 0.706466i
\(340\) −694361. + 1.76920e6i −0.325752 + 0.830004i
\(341\) −4.01084e6 1.23718e6i −1.86788 0.576165i
\(342\) −502784. −0.232443
\(343\) 411399. + 2.13970e6i 0.188811 + 0.982013i
\(344\) −194027. −0.0884028
\(345\) −215882. 66590.7i −0.0976491 0.0301208i
\(346\) 101898. 259632.i 0.0457589 0.116592i
\(347\) −3.06947e6 2.09273e6i −1.36848 0.933016i −0.999994 0.00338454i \(-0.998923\pi\)
−0.368490 0.929632i \(-0.620125\pi\)
\(348\) 3.15376e6 475352.i 1.39598 0.210411i
\(349\) 747749. 937648.i 0.328619 0.412075i −0.589885 0.807487i \(-0.700827\pi\)
0.918504 + 0.395412i \(0.129398\pi\)
\(350\) −198998. + 132353.i −0.0868318 + 0.0577516i
\(351\) −1.17053e6 1.46779e6i −0.507123 0.635913i
\(352\) −1.03932e6 964345.i −0.447086 0.414835i
\(353\) 675204. + 101771.i 0.288402 + 0.0434696i 0.291650 0.956525i \(-0.405796\pi\)
−0.00324797 + 0.999995i \(0.501034\pi\)
\(354\) 502654. 466395.i 0.213187 0.197809i
\(355\) −670005. + 456802.i −0.282168 + 0.192379i
\(356\) 171863. + 752980.i 0.0718716 + 0.314890i
\(357\) −6.23311e6 + 1.84455e6i −2.58842 + 0.765985i
\(358\) −72643.9 + 318274.i −0.0299565 + 0.131248i
\(359\) 920697. + 2.34590e6i 0.377034 + 0.960667i 0.985891 + 0.167387i \(0.0535330\pi\)
−0.608857 + 0.793280i \(0.708372\pi\)
\(360\) −36056.4 481139.i −0.0146631 0.195666i
\(361\) −579699. 1.00407e6i −0.234118 0.405504i
\(362\) −112996. + 195714.i −0.0453200 + 0.0784966i
\(363\) 4.00914e6 + 1.93070e6i 1.59693 + 0.769039i
\(364\) −797066. 3.68681e6i −0.315312 1.45847i
\(365\) −1.54338e6 + 743250.i −0.606372 + 0.292014i
\(366\) 21599.0 288218.i 0.00842811 0.112465i
\(367\) −276158. + 85183.5i −0.107027 + 0.0330134i −0.347806 0.937567i \(-0.613073\pi\)
0.240779 + 0.970580i \(0.422597\pi\)
\(368\) −301081. + 92871.2i −0.115895 + 0.0357488i
\(369\) −333697. + 4.45288e6i −0.127581 + 1.70245i
\(370\) 140487. 67655.1i 0.0533498 0.0256919i
\(371\) −530774. 6094.97i −0.200205 0.00229899i
\(372\) −4.80601e6 2.31445e6i −1.80064 0.867144i
\(373\) 1.18849e6 2.05852e6i 0.442307 0.766097i −0.555554 0.831481i \(-0.687494\pi\)
0.997860 + 0.0653832i \(0.0208270\pi\)
\(374\) 497705. + 862050.i 0.183989 + 0.318679i
\(375\) −279244. 3.72625e6i −0.102543 1.36834i
\(376\) −286441. 729840.i −0.104488 0.266231i
\(377\) 879352. 3.85269e6i 0.318647 1.39608i
\(378\) 156349. 141765.i 0.0562817 0.0510317i
\(379\) 660323. + 2.89306e6i 0.236134 + 1.03457i 0.944445 + 0.328669i \(0.106600\pi\)
−0.708311 + 0.705900i \(0.750543\pi\)
\(380\) 1.42654e6 972595.i 0.506785 0.345520i
\(381\) 685046. 635630.i 0.241773 0.224332i
\(382\) −142556. 21486.9i −0.0499837 0.00753383i
\(383\) 297881. + 276394.i 0.103764 + 0.0962789i 0.730349 0.683074i \(-0.239357\pi\)
−0.626585 + 0.779353i \(0.715548\pi\)
\(384\) −1.49250e6 1.87154e6i −0.516519 0.647695i
\(385\) −190160. + 2.19845e6i −0.0653833 + 0.755900i
\(386\) −36083.2 + 45246.9i −0.0123264 + 0.0154568i
\(387\) 1.23319e6 185874.i 0.418556 0.0630872i
\(388\) −962208. 656022.i −0.324481 0.221227i
\(389\) 925475. 2.35807e6i 0.310092 0.790102i −0.687842 0.725860i \(-0.741442\pi\)
0.997934 0.0642417i \(-0.0204629\pi\)
\(390\) −492362. 151873.i −0.163917 0.0505616i
\(391\) 687261. 0.227342
\(392\) 824353. 233689.i 0.270956 0.0768109i
\(393\) 1.39045e6 0.454123
\(394\) −134184. 41390.3i −0.0435473 0.0134326i
\(395\) 16445.0 41901.3i 0.00530325 0.0135125i
\(396\) 5.00262e6 + 3.41073e6i 1.60310 + 1.09297i
\(397\) 1.08776e6 163954.i 0.346384 0.0522090i 0.0264538 0.999650i \(-0.491579\pi\)
0.319931 + 0.947441i \(0.396340\pi\)
\(398\) 50141.8 62875.8i 0.0158669 0.0198965i
\(399\) 5.62236e6 + 1.80523e6i 1.76802 + 0.567674i
\(400\) −1.37440e6 1.72344e6i −0.429500 0.538577i
\(401\) 3.28026e6 + 3.04364e6i 1.01870 + 0.945219i 0.998510 0.0545775i \(-0.0173812\pi\)
0.0201938 + 0.999796i \(0.493572\pi\)
\(402\) −932037. 140482.i −0.287653 0.0433566i
\(403\) −4.84501e6 + 4.49552e6i −1.48605 + 1.37885i
\(404\) 919769. 627088.i 0.280366 0.191150i
\(405\) −201156. 881321.i −0.0609389 0.266991i
\(406\) 438498. + 71251.7i 0.132024 + 0.0214526i
\(407\) −879823. + 3.85475e6i −0.263275 + 1.15348i
\(408\) 933889. + 2.37951e6i 0.277744 + 0.707681i
\(409\) 252169. + 3.36496e6i 0.0745390 + 0.994654i 0.901608 + 0.432554i \(0.142387\pi\)
−0.827069 + 0.562100i \(0.809994\pi\)
\(410\) 158358. + 274284.i 0.0465244 + 0.0805826i
\(411\) 1.80908e6 3.13342e6i 0.528268 0.914987i
\(412\) −1.65327e6 796172.i −0.479844 0.231081i
\(413\) −4.18903e6 + 1.95840e6i −1.20848 + 0.564970i
\(414\) −77792.8 + 37463.1i −0.0223069 + 0.0107424i
\(415\) 8001.89 106778.i 0.00228072 0.0304341i
\(416\) −2.13337e6 + 658056.i −0.604411 + 0.186436i
\(417\) −14092.3 + 4346.91i −0.00396865 + 0.00122417i
\(418\) 67575.2 901729.i 0.0189168 0.252427i
\(419\) 1.57494e6 758451.i 0.438257 0.211053i −0.201727 0.979442i \(-0.564655\pi\)
0.639984 + 0.768388i \(0.278941\pi\)
\(420\) −655387. + 2.72673e6i −0.181290 + 0.754256i
\(421\) −4.40836e6 2.12295e6i −1.21219 0.583761i −0.285066 0.958508i \(-0.592015\pi\)
−0.927127 + 0.374746i \(0.877730\pi\)
\(422\) 336227. 582363.i 0.0919077 0.159189i
\(423\) 2.51973e6 + 4.36430e6i 0.684705 + 1.18594i
\(424\) 15599.0 + 208154.i 0.00421388 + 0.0562303i
\(425\) 1.75665e6 + 4.47587e6i 0.471751 + 1.20200i
\(426\) −120105. + 526215.i −0.0320655 + 0.140488i
\(427\) −732883. + 1.80610e6i −0.194520 + 0.479370i
\(428\) −935779. 4.09992e6i −0.246924 1.08185i
\(429\) 1.07950e7 7.35992e6i 2.83191 1.93077i
\(430\) 64842.2 60164.8i 0.0169117 0.0156917i
\(431\) −3.86077e6 581917.i −1.00111 0.150893i −0.372018 0.928226i \(-0.621334\pi\)
−0.629089 + 0.777333i \(0.716572\pi\)
\(432\) 1.42699e6 + 1.32406e6i 0.367885 + 0.341347i
\(433\) −1.21745e6 1.52663e6i −0.312054 0.391303i 0.600928 0.799303i \(-0.294798\pi\)
−0.912982 + 0.408000i \(0.866226\pi\)
\(434\) −538827. 511597.i −0.137317 0.130378i
\(435\) −1.83184e6 + 2.29706e6i −0.464157 + 0.582035i
\(436\) 913384. 137671.i 0.230111 0.0346836i
\(437\) −515843. 351696.i −0.129215 0.0880976i
\(438\) −416561. + 1.06138e6i −0.103751 + 0.264354i
\(439\) −2.97905e6 918916.i −0.737763 0.227570i −0.0969741 0.995287i \(-0.530916\pi\)
−0.640789 + 0.767717i \(0.721393\pi\)
\(440\) 867756. 0.213681
\(441\) −5.01554e6 + 2.27499e6i −1.22807 + 0.557036i
\(442\) 1.56744e6 0.381623
\(443\) −1.28444e6 396197.i −0.310960 0.0959184i 0.135347 0.990798i \(-0.456785\pi\)
−0.446307 + 0.894880i \(0.647261\pi\)
\(444\) −1.83580e6 + 4.67755e6i −0.441945 + 1.12606i
\(445\) −587854. 400792.i −0.140724 0.0959443i
\(446\) −240300. + 36219.4i −0.0572026 + 0.00862191i
\(447\) −1.80730e6 + 2.26628e6i −0.427820 + 0.536470i
\(448\) 1.32665e6 + 3.49783e6i 0.312292 + 0.823386i
\(449\) −3.76110e6 4.71627e6i −0.880439 1.10404i −0.993877 0.110490i \(-0.964758\pi\)
0.113439 0.993545i \(-0.463813\pi\)
\(450\) −442822. 410879.i −0.103086 0.0956495i
\(451\) −7.94126e6 1.19695e6i −1.83843 0.277099i
\(452\) 2.55296e6 2.36880e6i 0.587756 0.545358i
\(453\) −6.78345e6 + 4.62488e6i −1.55312 + 1.05890i
\(454\) 37141.3 + 162727.i 0.00845703 + 0.0370527i
\(455\) 2.84831e6 + 1.99023e6i 0.644998 + 0.450687i
\(456\) 516724. 2.26391e6i 0.116371 0.509856i
\(457\) 809672. + 2.06301e6i 0.181350 + 0.462073i 0.992422 0.122873i \(-0.0392108\pi\)
−0.811072 + 0.584946i \(0.801116\pi\)
\(458\) 91039.2 + 1.21483e6i 0.0202799 + 0.270616i
\(459\) −2.12305e6 3.67722e6i −0.470357 0.814682i
\(460\) 148250. 256777.i 0.0326664 0.0565798i
\(461\) 3.06488e6 + 1.47597e6i 0.671678 + 0.323463i 0.738453 0.674305i \(-0.235557\pi\)
−0.0667751 + 0.997768i \(0.521271\pi\)
\(462\) 902516. + 1.15877e6i 0.196721 + 0.252576i
\(463\) 4.49940e6 2.16680e6i 0.975444 0.469749i 0.122908 0.992418i \(-0.460778\pi\)
0.852536 + 0.522669i \(0.175064\pi\)
\(464\) −306212. + 4.08611e6i −0.0660278 + 0.881080i
\(465\) 4.69560e6 1.44840e6i 1.00707 0.310640i
\(466\) −178447. + 55043.6i −0.0380667 + 0.0117420i
\(467\) 21059.9 281025.i 0.00446853 0.0596284i −0.994524 0.104511i \(-0.966672\pi\)
0.998992 + 0.0448825i \(0.0142913\pi\)
\(468\) 8.58994e6 4.13670e6i 1.81291 0.873050i
\(469\) 5.69491e6 + 2.82354e6i 1.19551 + 0.592736i
\(470\) 322038. + 155086.i 0.0672455 + 0.0323837i
\(471\) 2.26715e6 3.92682e6i 0.470899 0.815621i
\(472\) 909222. + 1.57482e6i 0.187852 + 0.325369i
\(473\) 167616. + 2.23668e6i 0.0344479 + 0.459675i
\(474\) −10945.9 27889.8i −0.00223773 0.00570164i
\(475\) 971959. 4.25843e6i 0.197658 0.865995i
\(476\) −539807. 8.51406e6i −0.109200 1.72234i
\(477\) −298551. 1.30804e6i −0.0600790 0.263223i
\(478\) −966078. + 658661.i −0.193394 + 0.131854i
\(479\) −6.44671e6 + 5.98167e6i −1.28381 + 1.19120i −0.313427 + 0.949612i \(0.601477\pi\)
−0.970379 + 0.241586i \(0.922332\pi\)
\(480\) 1.64131e6 + 247388.i 0.325153 + 0.0490090i
\(481\) 4.56402e6 + 4.23479e6i 0.899466 + 0.834583i
\(482\) −397241. 498125.i −0.0778820 0.0976609i
\(483\) 1.00443e6 139617.i 0.195907 0.0272315i
\(484\) −3.64120e6 + 4.56592e6i −0.706530 + 0.885961i
\(485\) 1.06081e6 159892.i 0.204778 0.0308653i
\(486\) −824002. 561795.i −0.158248 0.107891i
\(487\) 2.71661e6 6.92182e6i 0.519046 1.32251i −0.395664 0.918395i \(-0.629486\pi\)
0.914710 0.404111i \(-0.132419\pi\)
\(488\) 732431. + 225925.i 0.139225 + 0.0429452i
\(489\) −1.07779e7 −2.03827
\(490\) −203029. + 333716.i −0.0382003 + 0.0627895i
\(491\) −2.37168e6 −0.443969 −0.221985 0.975050i \(-0.571253\pi\)
−0.221985 + 0.975050i \(0.571253\pi\)
\(492\) −9.75292e6 3.00838e6i −1.81644 0.560298i
\(493\) 3.26533e6 8.31993e6i 0.605076 1.54171i
\(494\) −1.17648e6 802114.i −0.216905 0.147883i
\(495\) −5.51527e6 + 831293.i −1.01170 + 0.152490i
\(496\) 4.27292e6 5.35807e6i 0.779866 0.977921i
\(497\) 1.85604e6 3.13117e6i 0.337052 0.568612i
\(498\) −44437.0 55722.3i −0.00802919 0.0100683i
\(499\) 2.56750e6 + 2.38229e6i 0.461593 + 0.428296i 0.876378 0.481624i \(-0.159953\pi\)
−0.414785 + 0.909919i \(0.636143\pi\)
\(500\) 4.84935e6 + 730921.i 0.867477 + 0.130751i
\(501\) 9.66667e6 8.96936e6i 1.72061 1.59649i
\(502\) −244344. + 166591.i −0.0432755 + 0.0295047i
\(503\) 1.36287e6 + 5.97112e6i 0.240179 + 1.05229i 0.940854 + 0.338811i \(0.110025\pi\)
−0.700676 + 0.713480i \(0.747118\pi\)
\(504\) 1.06127e6 + 1.88790e6i 0.186101 + 0.331057i
\(505\) −228190. + 999766.i −0.0398170 + 0.174450i
\(506\) −56733.4 144554.i −0.00985060 0.0250989i
\(507\) −874611. 1.16709e7i −0.151111 2.01643i
\(508\) 613237. + 1.06216e6i 0.105431 + 0.182612i
\(509\) 4.34440e6 7.52473e6i 0.743251 1.28735i −0.207756 0.978181i \(-0.566616\pi\)
0.951007 0.309168i \(-0.100051\pi\)
\(510\) −1.04995e6 505628.i −0.178748 0.0860807i
\(511\) 4.86287e6 5.95624e6i 0.823835 1.00907i
\(512\) 3.50002e6 1.68552e6i 0.590059 0.284158i
\(513\) −288254. + 3.84648e6i −0.0483595 + 0.645313i
\(514\) −125797. + 38803.2i −0.0210021 + 0.00647829i
\(515\) 1.61529e6 498250.i 0.268369 0.0827808i
\(516\) −213019. + 2.84255e6i −0.0352204 + 0.469984i
\(517\) −8.16592e6 + 3.93250e6i −1.34363 + 0.647056i
\(518\) −442647. + 542172.i −0.0724826 + 0.0887795i
\(519\) −7.45985e6 3.59247e6i −1.21566 0.585430i
\(520\) 683213. 1.18336e6i 0.110802 0.191915i
\(521\) −990997. 1.71646e6i −0.159948 0.277038i 0.774902 0.632082i \(-0.217799\pi\)
−0.934850 + 0.355044i \(0.884466\pi\)
\(522\) 83913.6 + 1.11975e6i 0.0134789 + 0.179864i
\(523\) −3.88083e6 9.88819e6i −0.620398 1.58075i −0.801967 0.597369i \(-0.796213\pi\)
0.181569 0.983378i \(-0.441882\pi\)
\(524\) −406068. + 1.77910e6i −0.0646057 + 0.283056i
\(525\) 3.47660e6 + 6.18458e6i 0.550499 + 0.979291i
\(526\) 63993.4 + 280373.i 0.0100849 + 0.0441848i
\(527\) −1.23510e7 + 8.42079e6i −1.93721 + 1.32077i
\(528\) −9.93087e6 + 9.21450e6i −1.55025 + 1.43842i
\(529\) 6.25844e6 + 943307.i 0.972359 + 0.146560i
\(530\) −69758.4 64726.3i −0.0107871 0.0100090i
\(531\) −7.28746e6 9.13819e6i −1.12161 1.40645i
\(532\) −3.95178e6 + 6.66671e6i −0.605360 + 1.02125i
\(533\) −7.88470e6 + 9.88711e6i −1.20217 + 1.50748i
\(534\) −468279. + 70581.6i −0.0710642 + 0.0107112i
\(535\) 3.20082e6 + 2.18228e6i 0.483478 + 0.329629i
\(536\) 913220. 2.32685e6i 0.137298 0.349829i
\(537\) 9.26073e6 + 2.85656e6i 1.38583 + 0.427472i
\(538\) −1.53401e6 −0.228493
\(539\) −3.40603e6 9.30100e6i −0.504983 1.37898i
\(540\) −1.83186e6 −0.270339
\(541\) 4.33933e6 + 1.33851e6i 0.637425 + 0.196620i 0.596590 0.802546i \(-0.296522\pi\)
0.0408354 + 0.999166i \(0.486998\pi\)
\(542\) −148551. + 378501.i −0.0217208 + 0.0553437i
\(543\) 5.54307e6 + 3.77920e6i 0.806772 + 0.550048i
\(544\) −4.99299e6 + 752572.i −0.723375 + 0.109031i
\(545\) −530535. + 665269.i −0.0765107 + 0.0959414i
\(546\) 2.29079e6 318425.i 0.328855 0.0457115i
\(547\) 6.27105e6 + 7.86365e6i 0.896132 + 1.12371i 0.991736 + 0.128295i \(0.0409503\pi\)
−0.0956041 + 0.995419i \(0.530478\pi\)
\(548\) 3.48094e6 + 3.22984e6i 0.495160 + 0.459441i
\(549\) −4.87161e6 734276.i −0.689829 0.103975i
\(550\) 796416. 738966.i 0.112262 0.104164i
\(551\) −6.70849e6 + 4.57377e6i −0.941338 + 0.641794i
\(552\) −88737.4 388784.i −0.0123954 0.0543076i
\(553\) 12784.6 + 201645.i 0.00177777 + 0.0280397i
\(554\) −88014.3 + 385616.i −0.0121837 + 0.0533802i
\(555\) −1.69114e6 4.30895e6i −0.233048 0.593798i
\(556\) −1446.40 19300.9i −0.000198427 0.00264783i
\(557\) 4.56636e6 + 7.90916e6i 0.623637 + 1.08017i 0.988803 + 0.149228i \(0.0476790\pi\)
−0.365166 + 0.930943i \(0.618988\pi\)
\(558\) 939021. 1.62643e6i 0.127670 0.221131i
\(559\) 3.18214e6 + 1.53244e6i 0.430714 + 0.207421i
\(560\) −3.22798e6 1.60043e6i −0.434971 0.215659i
\(561\) 2.66235e7 1.28212e7i 3.57156 1.71997i
\(562\) 47789.4 637705.i 0.00638250 0.0851685i
\(563\) 8.99538e6 2.77471e6i 1.19605 0.368932i 0.368126 0.929776i \(-0.379999\pi\)
0.827922 + 0.560844i \(0.189523\pi\)
\(564\) −1.10068e7 + 3.39516e6i −1.45702 + 0.449430i
\(565\) −239749. + 3.19923e6i −0.0315963 + 0.421623i
\(566\) 944625. 454907.i 0.123942 0.0596873i
\(567\) 2.49336e6 + 3.20130e6i 0.325707 + 0.418185i
\(568\) −1.28963e6 621055.i −0.167724 0.0807716i
\(569\) 4.70510e6 8.14946e6i 0.609239 1.05523i −0.382127 0.924110i \(-0.624808\pi\)
0.991366 0.131123i \(-0.0418584\pi\)
\(570\) 529320. + 916809.i 0.0682387 + 0.118193i
\(571\) −388171. 5.17979e6i −0.0498234 0.664847i −0.965077 0.261968i \(-0.915629\pi\)
0.915253 0.402879i \(-0.131991\pi\)
\(572\) 6.26455e6 + 1.59618e7i 0.800570 + 2.03982i
\(573\) −952333. + 4.17244e6i −0.121172 + 0.530889i
\(574\) −1.16535e6 814276.i −0.147630 0.103155i
\(575\) −166915. 731305.i −0.0210536 0.0922420i
\(576\) −7.81265e6 + 5.32658e6i −0.981166 + 0.668948i
\(577\) −475047. + 440780.i −0.0594015 + 0.0551165i −0.709315 0.704892i \(-0.750996\pi\)
0.649913 + 0.760008i \(0.274805\pi\)
\(578\) 2.37567e6 + 358075.i 0.295779 + 0.0445814i
\(579\) 1.25940e6 + 1.16855e6i 0.156123 + 0.144861i
\(580\) −2.40415e6 3.01471e6i −0.296751 0.372114i
\(581\) 170448. + 449400.i 0.0209484 + 0.0552323i
\(582\) 445209. 558274.i 0.0544824 0.0683188i
\(583\) 2.38606e6 359640.i 0.290743 0.0438225i
\(584\) −2.49834e6 1.70334e6i −0.303123 0.206666i
\(585\) −3.20872e6 + 8.17568e6i −0.387652 + 0.987721i
\(586\) 897764. + 276923.i 0.107999 + 0.0333131i
\(587\) −3.32469e6 −0.398250 −0.199125 0.979974i \(-0.563810\pi\)
−0.199125 + 0.979974i \(0.563810\pi\)
\(588\) −2.51855e6 1.23335e7i −0.300406 1.47111i
\(589\) 1.35796e7 1.61287
\(590\) −792181. 244355.i −0.0936902 0.0288996i
\(591\) −1.52296e6 + 3.88045e6i −0.179358 + 0.456997i
\(592\) −5.33400e6 3.63666e6i −0.625531 0.426480i
\(593\) −1.36902e7 + 2.06346e6i −1.59872 + 0.240968i −0.887093 0.461591i \(-0.847279\pi\)
−0.711626 + 0.702559i \(0.752041\pi\)
\(594\) −598188. + 750104.i −0.0695619 + 0.0872278i
\(595\) 5.69921e6 + 5.41119e6i 0.659967 + 0.626615i
\(596\) −2.37194e6 2.97432e6i −0.273519 0.342982i
\(597\) −1.75008e6 1.62384e6i −0.200966 0.186469i
\(598\) −241797. 36445.1i −0.0276502 0.00416760i
\(599\) −7.31249e6 + 6.78500e6i −0.832718 + 0.772650i −0.976170 0.217008i \(-0.930370\pi\)
0.143452 + 0.989657i \(0.454180\pi\)
\(600\) 2.30519e6 1.57165e6i 0.261414 0.178229i
\(601\) −93762.4 410800.i −0.0105887 0.0463921i 0.969358 0.245654i \(-0.0790027\pi\)
−0.979946 + 0.199262i \(0.936146\pi\)
\(602\) −149293. + 367913.i −0.0167899 + 0.0413765i
\(603\) −3.57516e6 + 1.56638e7i −0.400407 + 1.75430i
\(604\) −3.93656e6 1.00302e7i −0.439061 1.11871i
\(605\) −402034. 5.36477e6i −0.0446555 0.595886i
\(606\) 341283. + 591119.i 0.0377514 + 0.0653873i
\(607\) 474350. 821599.i 0.0522549 0.0905082i −0.838715 0.544571i \(-0.816692\pi\)
0.890970 + 0.454063i \(0.150026\pi\)
\(608\) 4.13275e6 + 1.99023e6i 0.453399 + 0.218345i
\(609\) 3.08206e6 1.28228e7i 0.336742 1.40101i
\(610\) −314828. + 151613.i −0.0342570 + 0.0164973i
\(611\) −1.06655e6 + 1.42321e7i −0.115578 + 1.54228i
\(612\) 2.06054e7 6.35593e6i 2.22384 0.685963i
\(613\) 7.01756e6 2.16463e6i 0.754284 0.232666i 0.106315 0.994333i \(-0.466095\pi\)
0.647969 + 0.761667i \(0.275619\pi\)
\(614\) −26498.2 + 353594.i −0.00283659 + 0.0378516i
\(615\) 8.47097e6 4.07941e6i 0.903120 0.434920i
\(616\) −3.52854e6 + 1.64961e6i −0.374665 + 0.175158i
\(617\) −1.38621e7 6.67564e6i −1.46594 0.705960i −0.480660 0.876907i \(-0.659603\pi\)
−0.985280 + 0.170948i \(0.945317\pi\)
\(618\) 562567. 974395.i 0.0592520 0.102628i
\(619\) −1.22481e6 2.12144e6i −0.128482 0.222537i 0.794607 0.607125i \(-0.207677\pi\)
−0.923089 + 0.384587i \(0.874344\pi\)
\(620\) 481944. + 6.43110e6i 0.0503521 + 0.671902i
\(621\) 242006. + 616622.i 0.0251824 + 0.0641638i
\(622\) −392993. + 1.72182e6i −0.0407295 + 0.178448i
\(623\) 3.15229e6 + 512216.i 0.325391 + 0.0528729i
\(624\) 4.74692e6 + 2.07976e7i 0.488034 + 2.13822i
\(625\) 2.18228e6 1.48785e6i 0.223465 0.152356i
\(626\) 1.70889e6 1.58562e6i 0.174293 0.161720i
\(627\) −2.65441e7 4.00087e6i −2.69649 0.406430i
\(628\) 4.36232e6 + 4.04765e6i 0.441386 + 0.409547i
\(629\) 8.77969e6 + 1.10094e7i 0.884816 + 1.10952i
\(630\) −940075. 301839.i −0.0943651 0.0302987i
\(631\) −1.81283e6 + 2.27322e6i −0.181253 + 0.227283i −0.864155 0.503226i \(-0.832146\pi\)
0.682902 + 0.730510i \(0.260718\pi\)
\(632\) 78567.4 11842.1i 0.00782437 0.00117933i
\(633\) −1.64938e7 1.12453e7i −1.63611 1.11548i
\(634\) −522772. + 1.33200e6i −0.0516522 + 0.131608i
\(635\) −1.07963e6 333022.i −0.106253 0.0327747i
\(636\) 3.06663e6 0.300621
\(637\) −1.53655e7 2.67818e6i −1.50037 0.261512i
\(638\) −2.01952e6 −0.196425
\(639\) 8.79159e6 + 2.71185e6i 0.851756 + 0.262732i
\(640\) −1.05733e6 + 2.69403e6i −0.102038 + 0.259987i
\(641\) −4.69971e6 3.20421e6i −0.451779 0.308017i 0.315969 0.948769i \(-0.397670\pi\)
−0.767748 + 0.640752i \(0.778623\pi\)
\(642\) 2.54974e6 384311.i 0.244151 0.0367998i
\(643\) −1.14058e7 + 1.43024e7i −1.08792 + 1.36421i −0.161869 + 0.986812i \(0.551752\pi\)
−0.926052 + 0.377397i \(0.876819\pi\)
\(644\) −114691. + 1.32595e6i −0.0108972 + 0.125983i
\(645\) −1.63721e6 2.05300e6i −0.154955 0.194308i
\(646\) −2.36076e6 2.19047e6i −0.222572 0.206517i
\(647\) 9.69776e6 + 1.46170e6i 0.910774 + 0.137277i 0.587683 0.809091i \(-0.300040\pi\)
0.323091 + 0.946368i \(0.395278\pi\)
\(648\) 1.16971e6 1.08534e6i 0.109432 0.101538i
\(649\) 1.73685e7 1.18417e7i 1.61865 1.10357i
\(650\) −380684. 1.66789e6i −0.0353412 0.154840i
\(651\) −1.63402e7 + 1.48160e7i −1.51114 + 1.37018i
\(652\) 3.14759e6 1.37905e7i 0.289974 1.27046i
\(653\) −510799. 1.30150e6i −0.0468778 0.119443i 0.905517 0.424310i \(-0.139483\pi\)
−0.952395 + 0.304867i \(0.901388\pi\)
\(654\) 42325.1 + 564789.i 0.00386949 + 0.0516348i
\(655\) −840525. 1.45583e6i −0.0765504 0.132589i
\(656\) 6.55633e6 1.13559e7i 0.594841 1.03030i
\(657\) 1.75107e7 + 8.43269e6i 1.58267 + 0.762171i
\(658\) −1.60432e6 18422.7i −0.144453 0.00165878i
\(659\) −1.44266e7 + 6.94749e6i −1.29405 + 0.623181i −0.948962 0.315390i \(-0.897865\pi\)
−0.345087 + 0.938571i \(0.612151\pi\)
\(660\) 952695. 1.27128e7i 0.0851323 1.13601i
\(661\) 9.17272e6 2.82941e6i 0.816572 0.251879i 0.141790 0.989897i \(-0.454714\pi\)
0.674781 + 0.738018i \(0.264238\pi\)
\(662\) 893156. 275502.i 0.0792104 0.0244332i
\(663\) 3.47728e6 4.64010e7i 0.307224 4.09962i
\(664\) 170291. 82007.7i 0.0149889 0.00721829i
\(665\) −1.50860e6 6.97801e6i −0.132288 0.611896i
\(666\) −1.59392e6 767594.i −0.139246 0.0670573i
\(667\) −697169. + 1.20753e6i −0.0606769 + 0.105095i
\(668\) 8.65338e6 + 1.49881e7i 0.750316 + 1.29959i
\(669\) 539113. + 7.19397e6i 0.0465709 + 0.621446i
\(670\) 416328. + 1.06079e6i 0.0358302 + 0.0912938i
\(671\) 1.97166e6 8.63840e6i 0.169054 0.740674i
\(672\) −7.14432e6 + 2.11420e6i −0.610292 + 0.180602i
\(673\) −4.75446e6 2.08307e7i −0.404635 1.77282i −0.608223 0.793766i \(-0.708117\pi\)
0.203587 0.979057i \(-0.434740\pi\)
\(674\) −2.62044e6 + 1.78659e6i −0.222190 + 0.151487i
\(675\) −3.39725e6 + 3.15219e6i −0.286991 + 0.266289i
\(676\) 1.51885e7 + 2.28930e6i 1.27835 + 0.192680i
\(677\) −273764. 254016.i −0.0229564 0.0213005i 0.668611 0.743612i \(-0.266889\pi\)
−0.691568 + 0.722312i \(0.743080\pi\)
\(678\) 1.33140e6 + 1.66952e6i 0.111233 + 0.139482i
\(679\) −4.00960e6 + 2.66678e6i −0.333754 + 0.221979i
\(680\) 1.92687e6 2.41622e6i 0.159801 0.200384i
\(681\) 4.89962e6 738498.i 0.404850 0.0610213i
\(682\) 2.79076e6 + 1.90271e6i 0.229753 + 0.156643i
\(683\) −3.20286e6 + 8.16076e6i −0.262716 + 0.669389i −0.999981 0.00621477i \(-0.998022\pi\)
0.737265 + 0.675604i \(0.236117\pi\)
\(684\) −1.87185e7 5.77390e6i −1.52979 0.471877i
\(685\) −4.37436e6 −0.356195
\(686\) 191174. 1.74294e6i 0.0155102 0.141408i
\(687\) 3.61648e7 2.92344
\(688\) −3.49951e6 1.07946e6i −0.281862 0.0869429i
\(689\) 1.38818e6 3.53703e6i 0.111403 0.283851i
\(690\) 150211. + 102412.i 0.0120110 + 0.00818897i
\(691\) −1.05061e7 + 1.58353e6i −0.837037 + 0.126163i −0.553553 0.832814i \(-0.686728\pi\)
−0.283484 + 0.958977i \(0.591490\pi\)
\(692\) 6.77521e6 8.49585e6i 0.537846 0.674437i
\(693\) 2.08463e7 1.38649e7i 1.64891 1.09669i
\(694\) 1.86394e6 + 2.33731e6i 0.146904 + 0.184212i
\(695\) 13070.1 + 12127.3i 0.00102640 + 0.000952364i
\(696\) −5.12820e6 772952.i −0.401275 0.0604824i
\(697\) −2.09666e7 + 1.94542e7i −1.63473 + 1.51681i
\(698\) −797401. + 543659.i −0.0619495 + 0.0422365i
\(699\) 1.23359e6 + 5.40470e6i 0.0954942 + 0.418387i
\(700\) −8.92858e6 + 2.64221e6i −0.688711 + 0.203809i
\(701\) −4.21249e6 + 1.84561e7i −0.323776 + 1.41855i 0.507000 + 0.861946i \(0.330755\pi\)
−0.830775 + 0.556608i \(0.812103\pi\)
\(702\) 551944. + 1.40633e6i 0.0422720 + 0.107707i
\(703\) −955952. 1.27563e7i −0.0729538 0.973500i
\(704\) −8.50303e6 1.47277e7i −0.646610 1.11996i
\(705\) 5.30544e6 9.18928e6i 0.402021 0.696320i
\(706\) −495071. 238414.i −0.0373814 0.0180019i
\(707\) −972681. 4.49912e6i −0.0731850 0.338516i
\(708\) 2.40697e7 1.15914e7i 1.80463 0.869063i
\(709\) 1.86081e6 2.48308e7i 0.139023 1.85513i −0.296598 0.955002i \(-0.595852\pi\)
0.435621 0.900130i \(-0.356529\pi\)
\(710\) 623564. 192344.i 0.0464232 0.0143197i
\(711\) −488013. + 150532.i −0.0362041 + 0.0111675i
\(712\) 93852.0 1.25237e6i 0.00693814 0.0925831i
\(713\) 2.10110e6 1.01184e6i 0.154783 0.0745394i
\(714\) 5.23058e6 + 60063.7i 0.383977 + 0.00440927i
\(715\) −1.42316e7 6.85358e6i −1.04109 0.501363i
\(716\) −6.35953e6 + 1.10150e7i −0.463599 + 0.802977i
\(717\) 1.73552e7 + 3.00601e7i 1.26076 + 2.18370i
\(718\) −151551. 2.02230e6i −0.0109710 0.146398i
\(719\) 6.98779e6 + 1.78046e7i 0.504101 + 1.28443i 0.925910 + 0.377744i \(0.123300\pi\)
−0.421809 + 0.906685i \(0.638605\pi\)
\(720\) 2.02646e6 8.87851e6i 0.145683 0.638277i
\(721\) −5.62103e6 + 5.09671e6i −0.402697 + 0.365133i
\(722\) 207610. + 909598.i 0.0148219 + 0.0649391i
\(723\) −1.56273e7 + 1.06545e7i −1.11183 + 0.758033i
\(724\) −6.45435e6 + 5.98877e6i −0.457621 + 0.424611i
\(725\) −9.64616e6 1.45393e6i −0.681569 0.102730i
\(726\) −2.62495e6 2.43559e6i −0.184833 0.171500i
\(727\) −722492. 905977.i −0.0506987 0.0635742i 0.755836 0.654761i \(-0.227231\pi\)
−0.806534 + 0.591187i \(0.798659\pi\)
\(728\) −528556. + 6.11067e6i −0.0369626 + 0.427327i
\(729\) −1.37167e7 + 1.72003e7i −0.955944 + 1.19872i
\(730\) 1.36310e6 205455.i 0.0946719 0.0142695i
\(731\) 6.60012e6 + 4.49988e6i 0.456834 + 0.311464i
\(732\) 4.11398e6 1.04823e7i 0.283782 0.723065i
\(733\) −3.83237e6 1.18213e6i −0.263456 0.0812653i 0.160213 0.987082i \(-0.448782\pi\)
−0.423669 + 0.905817i \(0.639258\pi\)
\(734\) 232562. 0.0159330
\(735\) 9.42862e6 + 6.75061e6i 0.643768 + 0.460919i
\(736\) 787731. 0.0536023
\(737\) −2.76120e7 8.51719e6i −1.87253 0.577600i
\(738\) 1.31280e6 3.34497e6i 0.0887276 0.226074i
\(739\) 1.69080e7 + 1.15277e7i 1.13889 + 0.776479i 0.977609 0.210430i \(-0.0674864\pi\)
0.161277 + 0.986909i \(0.448439\pi\)
\(740\) 6.00725e6 905447.i 0.403270 0.0607832i
\(741\) −2.63550e7 + 3.30481e7i −1.76327 + 2.21107i
\(742\) 406703. + 130584.i 0.0271186 + 0.00870723i
\(743\) −5.61188e6 7.03708e6i −0.372938 0.467649i 0.559578 0.828777i \(-0.310963\pi\)
−0.932516 + 0.361128i \(0.882392\pi\)
\(744\) 6.35838e6 + 5.89971e6i 0.421128 + 0.390750i
\(745\) 3.46536e6 + 522320.i 0.228749 + 0.0344783i
\(746\) −1.40218e6 + 1.30104e6i −0.0922481 + 0.0855938i
\(747\) −1.00377e6 + 684358.i −0.0658161 + 0.0448727i
\(748\) 8.62977e6 + 3.78095e7i 0.563956 + 2.47085i
\(749\) −1.71640e7 2.78897e6i −1.11793 0.181652i
\(750\) −669119. + 2.93160e6i −0.0434360 + 0.190306i
\(751\) −868421. 2.21270e6i −0.0561863 0.143160i 0.900024 0.435839i \(-0.143548\pi\)
−0.956211 + 0.292679i \(0.905453\pi\)
\(752\) −1.10589e6 1.47571e7i −0.0713131 0.951607i
\(753\) 4.38954e6 + 7.60290e6i 0.282118 + 0.488643i
\(754\) −1.59003e6 + 2.75402e6i −0.101854 + 0.176416i
\(755\) 8.94296e6 + 4.30670e6i 0.570971 + 0.274965i
\(756\) 7.44887e6 3.48239e6i 0.474008 0.221602i
\(757\) 1.86874e7 8.99936e6i 1.18525 0.570784i 0.265810 0.964025i \(-0.414361\pi\)
0.919435 + 0.393241i \(0.128646\pi\)
\(758\) 178454. 2.38130e6i 0.0112811 0.150536i
\(759\) −4.40512e6 + 1.35880e6i −0.277558 + 0.0856152i
\(760\) −2.68273e6 + 827513.i −0.168478 + 0.0519686i