Properties

Label 49.6.g.a.2.6
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 2.6
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-6.81543 - 2.10228i) q^{2} +(3.52552 - 8.98289i) q^{3} +(15.5909 + 10.6297i) q^{4} +(80.2537 - 12.0963i) q^{5} +(-42.9125 + 53.8106i) q^{6} +(-85.3330 + 97.5975i) q^{7} +(58.3893 + 73.2178i) q^{8} +(109.869 + 101.943i) q^{9} +O(q^{10})\) \(q+(-6.81543 - 2.10228i) q^{2} +(3.52552 - 8.98289i) q^{3} +(15.5909 + 10.6297i) q^{4} +(80.2537 - 12.0963i) q^{5} +(-42.9125 + 53.8106i) q^{6} +(-85.3330 + 97.5975i) q^{7} +(58.3893 + 73.2178i) q^{8} +(109.869 + 101.943i) q^{9} +(-572.393 - 86.2744i) q^{10} +(415.840 - 385.843i) q^{11} +(150.451 - 102.576i) q^{12} +(20.6664 + 90.5452i) q^{13} +(786.759 - 485.775i) q^{14} +(174.277 - 763.556i) q^{15} +(-464.628 - 1183.85i) q^{16} +(-5.71997 - 76.3277i) q^{17} +(-534.489 - 925.762i) q^{18} +(1254.84 - 2173.45i) q^{19} +(1379.81 + 664.480i) q^{20} +(575.864 + 1110.62i) q^{21} +(-3645.28 + 1755.47i) q^{22} +(-51.6075 + 688.654i) q^{23} +(863.561 - 266.373i) q^{24} +(3308.17 - 1020.44i) q^{25} +(49.5015 - 660.551i) q^{26} +(3415.81 - 1644.97i) q^{27} +(-2367.85 + 614.569i) q^{28} +(-5080.93 - 2446.85i) q^{29} +(-2792.98 + 4837.58i) q^{30} +(3354.97 + 5810.98i) q^{31} +(453.898 + 6056.85i) q^{32} +(-1999.93 - 5095.74i) q^{33} +(-121.478 + 532.231i) q^{34} +(-5667.72 + 8864.77i) q^{35} +(629.325 + 2757.25i) q^{36} +(-5429.12 + 3701.51i) q^{37} +(-13121.5 + 12175.0i) q^{38} +(886.217 + 133.576i) q^{39} +(5571.62 + 5169.71i) q^{40} +(-6181.61 - 7751.49i) q^{41} +(-1589.93 - 8779.98i) q^{42} +(12687.6 - 15909.8i) q^{43} +(10584.7 - 1595.39i) q^{44} +(10050.5 + 6852.31i) q^{45} +(1799.47 - 4584.98i) q^{46} +(26412.8 + 8147.27i) q^{47} -12272.5 q^{48} +(-2243.55 - 16656.6i) q^{49} -24691.8 q^{50} +(-705.809 - 217.713i) q^{51} +(-640.261 + 1631.36i) q^{52} +(9744.95 + 6643.99i) q^{53} +(-26738.4 + 4030.16i) q^{54} +(28705.4 - 35995.4i) q^{55} +(-12128.4 - 549.252i) q^{56} +(-15099.9 - 18934.6i) q^{57} +(29484.8 + 27357.9i) q^{58} +(772.611 + 116.452i) q^{59} +(10833.5 - 10052.0i) q^{60} +(-8393.82 + 5722.81i) q^{61} +(-10649.3 - 46657.5i) q^{62} +(-19324.8 + 2023.78i) q^{63} +(583.885 - 2558.17i) q^{64} +(2753.81 + 7016.60i) q^{65} +(2917.71 + 38934.1i) q^{66} +(17776.9 + 30790.6i) q^{67} +(722.161 - 1250.82i) q^{68} +(6004.16 + 2891.45i) q^{69} +(57264.2 - 48502.1i) q^{70} +(-75982.6 + 36591.3i) q^{71} +(-1048.91 + 13996.7i) q^{72} +(2966.48 - 915.037i) q^{73} +(44783.4 - 13813.8i) q^{74} +(2496.58 - 33314.5i) q^{75} +(42667.2 - 20547.4i) q^{76} +(2172.44 + 73510.0i) q^{77} +(-5759.14 - 2773.46i) q^{78} +(35537.0 - 61551.9i) q^{79} +(-51608.3 - 89388.2i) q^{80} +(-12.3316 - 164.554i) q^{81} +(25834.5 + 65825.3i) q^{82} +(-6679.05 + 29262.8i) q^{83} +(-2827.31 + 23436.8i) q^{84} +(-1382.33 - 6056.39i) q^{85} +(-119918. + 81759.0i) q^{86} +(-39892.7 + 37015.0i) q^{87} +(52531.2 + 7917.80i) q^{88} +(25021.1 + 23216.2i) q^{89} +(-54093.0 - 67830.5i) q^{90} +(-10600.5 - 5709.51i) q^{91} +(-8124.78 + 10188.2i) q^{92} +(64027.4 - 9650.58i) q^{93} +(-162887. - 111054. i) q^{94} +(74414.9 - 189606. i) q^{95} +(56008.3 + 17276.3i) q^{96} -14961.9 q^{97} +(-19726.1 + 118238. i) q^{98} +85021.8 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.81543 2.10228i −1.20481 0.371635i −0.373598 0.927591i \(-0.621876\pi\)
−0.831212 + 0.555956i \(0.812352\pi\)
\(3\) 3.52552 8.98289i 0.226162 0.576253i −0.772079 0.635526i \(-0.780783\pi\)
0.998242 + 0.0592736i \(0.0188784\pi\)
\(4\) 15.5909 + 10.6297i 0.487215 + 0.332178i
\(5\) 80.2537 12.0963i 1.43562 0.216385i 0.615302 0.788291i \(-0.289034\pi\)
0.820319 + 0.571906i \(0.193796\pi\)
\(6\) −42.9125 + 53.8106i −0.486638 + 0.610225i
\(7\) −85.3330 + 97.5975i −0.658221 + 0.752824i
\(8\) 58.3893 + 73.2178i 0.322558 + 0.404475i
\(9\) 109.869 + 101.943i 0.452134 + 0.419519i
\(10\) −572.393 86.2744i −1.81007 0.272824i
\(11\) 415.840 385.843i 1.03620 0.961454i 0.0369184 0.999318i \(-0.488246\pi\)
0.999283 + 0.0378640i \(0.0120554\pi\)
\(12\) 150.451 102.576i 0.301608 0.205633i
\(13\) 20.6664 + 90.5452i 0.0339161 + 0.148596i 0.989051 0.147576i \(-0.0471470\pi\)
−0.955135 + 0.296172i \(0.904290\pi\)
\(14\) 786.759 485.775i 1.07281 0.662392i
\(15\) 174.277 763.556i 0.199991 0.876219i
\(16\) −464.628 1183.85i −0.453738 1.15611i
\(17\) −5.71997 76.3277i −0.00480034 0.0640560i 0.994289 0.106720i \(-0.0340347\pi\)
−0.999089 + 0.0426635i \(0.986416\pi\)
\(18\) −534.489 925.762i −0.388828 0.673470i
\(19\) 1254.84 2173.45i 0.797452 1.38123i −0.123818 0.992305i \(-0.539514\pi\)
0.921270 0.388923i \(-0.127153\pi\)
\(20\) 1379.81 + 664.480i 0.771335 + 0.371455i
\(21\) 575.864 + 1110.62i 0.284952 + 0.549562i
\(22\) −3645.28 + 1755.47i −1.60573 + 0.773281i
\(23\) −51.6075 + 688.654i −0.0203420 + 0.271445i 0.977754 + 0.209757i \(0.0672673\pi\)
−0.998096 + 0.0616876i \(0.980352\pi\)
\(24\) 863.561 266.373i 0.306030 0.0943979i
\(25\) 3308.17 1020.44i 1.05861 0.326539i
\(26\) 49.5015 660.551i 0.0143610 0.191634i
\(27\) 3415.81 1644.97i 0.901745 0.434258i
\(28\) −2367.85 + 614.569i −0.570767 + 0.148141i
\(29\) −5080.93 2446.85i −1.12188 0.540271i −0.221410 0.975181i \(-0.571066\pi\)
−0.900474 + 0.434910i \(0.856780\pi\)
\(30\) −2792.98 + 4837.58i −0.566585 + 0.981353i
\(31\) 3354.97 + 5810.98i 0.627025 + 1.08604i 0.988146 + 0.153520i \(0.0490608\pi\)
−0.361121 + 0.932519i \(0.617606\pi\)
\(32\) 453.898 + 6056.85i 0.0783581 + 1.04562i
\(33\) −1999.93 5095.74i −0.319691 0.814558i
\(34\) −121.478 + 532.231i −0.0180219 + 0.0789593i
\(35\) −5667.72 + 8864.77i −0.782057 + 1.22320i
\(36\) 629.325 + 2757.25i 0.0809318 + 0.354585i
\(37\) −5429.12 + 3701.51i −0.651966 + 0.444503i −0.843606 0.536963i \(-0.819572\pi\)
0.191640 + 0.981465i \(0.438619\pi\)
\(38\) −13121.5 + 12175.0i −1.47409 + 1.36776i
\(39\) 886.217 + 133.576i 0.0932994 + 0.0140626i
\(40\) 5571.62 + 5169.71i 0.550594 + 0.510877i
\(41\) −6181.61 7751.49i −0.574304 0.720154i 0.406826 0.913506i \(-0.366636\pi\)
−0.981130 + 0.193351i \(0.938064\pi\)
\(42\) −1589.93 8779.98i −0.139076 0.768016i
\(43\) 12687.6 15909.8i 1.04643 1.31218i 0.0979984 0.995187i \(-0.468756\pi\)
0.948428 0.316991i \(-0.102673\pi\)
\(44\) 10584.7 1595.39i 0.824227 0.124232i
\(45\) 10050.5 + 6852.31i 0.739872 + 0.504436i
\(46\) 1799.47 4584.98i 0.125386 0.319479i
\(47\) 26412.8 + 8147.27i 1.74409 + 0.537981i 0.992565 0.121719i \(-0.0388408\pi\)
0.751528 + 0.659701i \(0.229317\pi\)
\(48\) −12272.5 −0.768827
\(49\) −2243.55 16656.6i −0.133489 0.991050i
\(50\) −24691.8 −1.39678
\(51\) −705.809 217.713i −0.0379981 0.0117209i
\(52\) −640.261 + 1631.36i −0.0328359 + 0.0836644i
\(53\) 9744.95 + 6643.99i 0.476530 + 0.324892i 0.777654 0.628692i \(-0.216410\pi\)
−0.301124 + 0.953585i \(0.597362\pi\)
\(54\) −26738.4 + 4030.16i −1.24782 + 0.188078i
\(55\) 28705.4 35995.4i 1.27955 1.60450i
\(56\) −12128.4 549.252i −0.516814 0.0234046i
\(57\) −15099.9 18934.6i −0.615582 0.771916i
\(58\) 29484.8 + 27357.9i 1.15087 + 1.06785i
\(59\) 772.611 + 116.452i 0.0288955 + 0.00435530i 0.163474 0.986548i \(-0.447730\pi\)
−0.134579 + 0.990903i \(0.542968\pi\)
\(60\) 10833.5 10052.0i 0.388499 0.360475i
\(61\) −8393.82 + 5722.81i −0.288825 + 0.196918i −0.699061 0.715062i \(-0.746399\pi\)
0.410236 + 0.911979i \(0.365446\pi\)
\(62\) −10649.3 46657.5i −0.351836 1.54149i
\(63\) −19324.8 + 2023.78i −0.613429 + 0.0642411i
\(64\) 583.885 2558.17i 0.0178188 0.0780691i
\(65\) 2753.81 + 7016.60i 0.0808446 + 0.205989i
\(66\) 2917.71 + 38934.1i 0.0824483 + 1.10020i
\(67\) 17776.9 + 30790.6i 0.483805 + 0.837974i 0.999827 0.0186008i \(-0.00592116\pi\)
−0.516022 + 0.856575i \(0.672588\pi\)
\(68\) 722.161 1250.82i 0.0189392 0.0328036i
\(69\) 6004.16 + 2891.45i 0.151820 + 0.0731127i
\(70\) 57264.2 48502.1i 1.39681 1.18308i
\(71\) −75982.6 + 36591.3i −1.78883 + 0.861454i −0.842169 + 0.539214i \(0.818722\pi\)
−0.946658 + 0.322240i \(0.895564\pi\)
\(72\) −1048.91 + 13996.7i −0.0238455 + 0.318197i
\(73\) 2966.48 915.037i 0.0651529 0.0200970i −0.262007 0.965066i \(-0.584384\pi\)
0.327160 + 0.944969i \(0.393908\pi\)
\(74\) 44783.4 13813.8i 0.950687 0.293248i
\(75\) 2496.58 33314.5i 0.0512497 0.683880i
\(76\) 42667.2 20547.4i 0.847344 0.408059i
\(77\) 2172.44 + 73510.0i 0.0417562 + 1.41293i
\(78\) −5759.14 2773.46i −0.107182 0.0516160i
\(79\) 35537.0 61551.9i 0.640639 1.10962i −0.344652 0.938731i \(-0.612003\pi\)
0.985290 0.170888i \(-0.0546637\pi\)
\(80\) −51608.3 89388.2i −0.901560 1.56155i
\(81\) −12.3316 164.554i −0.000208837 0.00278674i
\(82\) 25834.5 + 65825.3i 0.424293 + 1.08108i
\(83\) −6679.05 + 29262.8i −0.106419 + 0.466252i 0.893435 + 0.449192i \(0.148288\pi\)
−0.999854 + 0.0170606i \(0.994569\pi\)
\(84\) −2827.31 + 23436.8i −0.0437195 + 0.362410i
\(85\) −1382.33 6056.39i −0.0207522 0.0909215i
\(86\) −119918. + 81759.0i −1.74840 + 1.19204i
\(87\) −39892.7 + 37015.0i −0.565061 + 0.524300i
\(88\) 52531.2 + 7917.80i 0.723120 + 0.108993i
\(89\) 25021.1 + 23216.2i 0.334835 + 0.310682i 0.829614 0.558337i \(-0.188560\pi\)
−0.494779 + 0.869019i \(0.664751\pi\)
\(90\) −54093.0 67830.5i −0.703939 0.882711i
\(91\) −10600.5 5709.51i −0.134191 0.0722762i
\(92\) −8124.78 + 10188.2i −0.100079 + 0.125495i
\(93\) 64027.4 9650.58i 0.767642 0.115703i
\(94\) −162887. 111054.i −1.90137 1.29633i
\(95\) 74414.9 189606.i 0.845962 2.15548i
\(96\) 56008.3 + 17276.3i 0.620260 + 0.191325i
\(97\) −14961.9 −0.161457 −0.0807284 0.996736i \(-0.525725\pi\)
−0.0807284 + 0.996736i \(0.525725\pi\)
\(98\) −19726.1 + 118238.i −0.207480 + 1.24364i
\(99\) 85021.8 0.871851
\(100\) 62424.2 + 19255.3i 0.624242 + 0.192553i
\(101\) −35861.4 + 91373.4i −0.349804 + 0.891285i 0.642367 + 0.766397i \(0.277952\pi\)
−0.992171 + 0.124888i \(0.960143\pi\)
\(102\) 4352.70 + 2967.62i 0.0414246 + 0.0282428i
\(103\) −116582. + 17572.0i −1.08278 + 0.163203i −0.666108 0.745855i \(-0.732041\pi\)
−0.416670 + 0.909058i \(0.636803\pi\)
\(104\) −5422.83 + 6800.02i −0.0491635 + 0.0616491i
\(105\) 59649.6 + 82165.5i 0.528000 + 0.727304i
\(106\) −52448.5 65768.3i −0.453386 0.568528i
\(107\) −14904.1 13829.0i −0.125848 0.116770i 0.614738 0.788731i \(-0.289262\pi\)
−0.740586 + 0.671961i \(0.765452\pi\)
\(108\) 70740.9 + 10662.5i 0.583595 + 0.0879627i
\(109\) −45434.1 + 42156.7i −0.366282 + 0.339860i −0.841745 0.539876i \(-0.818471\pi\)
0.475463 + 0.879736i \(0.342281\pi\)
\(110\) −271312. + 184978.i −2.13790 + 1.45760i
\(111\) 14109.8 + 61818.9i 0.108696 + 0.476227i
\(112\) 155189. + 55675.2i 1.16900 + 0.419389i
\(113\) 12018.3 52655.7i 0.0885417 0.387927i −0.911168 0.412036i \(-0.864818\pi\)
0.999709 + 0.0241093i \(0.00767497\pi\)
\(114\) 63106.2 + 160792.i 0.454789 + 1.15878i
\(115\) 4188.47 + 55891.3i 0.0295332 + 0.394094i
\(116\) −53207.0 92157.2i −0.367133 0.635893i
\(117\) −6959.88 + 12054.9i −0.0470043 + 0.0814138i
\(118\) −5020.86 2417.92i −0.0331950 0.0159859i
\(119\) 7937.50 + 5955.02i 0.0513826 + 0.0385492i
\(120\) 66081.8 31823.3i 0.418918 0.201740i
\(121\) 12012.6 160297.i 0.0745887 0.995316i
\(122\) 69238.5 21357.2i 0.421161 0.129911i
\(123\) −91424.2 + 28200.6i −0.544877 + 0.168072i
\(124\) −9461.93 + 126261.i −0.0552619 + 0.737418i
\(125\) 24640.6 11866.3i 0.141051 0.0679265i
\(126\) 135962. + 26833.3i 0.762939 + 0.150573i
\(127\) −92535.3 44562.7i −0.509094 0.245167i 0.161660 0.986847i \(-0.448315\pi\)
−0.670754 + 0.741680i \(0.734029\pi\)
\(128\) 87824.0 152116.i 0.473792 0.820633i
\(129\) −98185.2 170062.i −0.519483 0.899772i
\(130\) −4017.55 53610.5i −0.0208498 0.278222i
\(131\) 464.351 + 1183.15i 0.00236411 + 0.00602366i 0.932051 0.362327i \(-0.118018\pi\)
−0.929687 + 0.368351i \(0.879922\pi\)
\(132\) 22985.4 100706.i 0.114820 0.503060i
\(133\) 105044. + 307936.i 0.514922 + 1.50949i
\(134\) −56427.1 247223.i −0.271472 1.18940i
\(135\) 254233. 173333.i 1.20060 0.818554i
\(136\) 5254.57 4875.53i 0.0243607 0.0226034i
\(137\) 31373.7 + 4728.82i 0.142812 + 0.0215254i 0.220059 0.975487i \(-0.429375\pi\)
−0.0772473 + 0.997012i \(0.524613\pi\)
\(138\) −34842.3 32328.9i −0.155743 0.144509i
\(139\) −157060. 196947.i −0.689491 0.864594i 0.306699 0.951807i \(-0.400775\pi\)
−0.996190 + 0.0872127i \(0.972204\pi\)
\(140\) −182595. + 77963.6i −0.787350 + 0.336180i
\(141\) 166305. 208540.i 0.704461 0.883367i
\(142\) 594780. 89648.6i 2.47534 0.373098i
\(143\) 43530.1 + 29678.3i 0.178012 + 0.121367i
\(144\) 69637.7 177434.i 0.279858 0.713067i
\(145\) −437361. 134908.i −1.72751 0.532866i
\(146\) −22141.5 −0.0859656
\(147\) −157534. 38569.6i −0.601285 0.147215i
\(148\) −123991. −0.465302
\(149\) −357336. 110224.i −1.31859 0.406732i −0.445936 0.895065i \(-0.647129\pi\)
−0.872658 + 0.488333i \(0.837605\pi\)
\(150\) −87051.7 + 221804.i −0.315900 + 0.804899i
\(151\) 196816. + 134187.i 0.702453 + 0.478924i 0.861116 0.508408i \(-0.169766\pi\)
−0.158663 + 0.987333i \(0.550718\pi\)
\(152\) 232404. 35029.3i 0.815897 0.122977i
\(153\) 7152.65 8969.14i 0.0247023 0.0309758i
\(154\) 139733. 505570.i 0.474784 1.71783i
\(155\) 339540. + 425770.i 1.13517 + 1.42346i
\(156\) 12397.0 + 11502.8i 0.0407856 + 0.0378435i
\(157\) −410935. 61938.4i −1.33053 0.200545i −0.554995 0.831854i \(-0.687280\pi\)
−0.775531 + 0.631309i \(0.782518\pi\)
\(158\) −371600. + 344794.i −1.18422 + 1.09880i
\(159\) 94038.3 64114.2i 0.294993 0.201123i
\(160\) 109693. + 480594.i 0.338748 + 1.48415i
\(161\) −62807.1 63801.7i −0.190961 0.193985i
\(162\) −261.894 + 1147.43i −0.000784040 + 0.00343510i
\(163\) 243075. + 619346.i 0.716592 + 1.82585i 0.540223 + 0.841522i \(0.318340\pi\)
0.176369 + 0.984324i \(0.443565\pi\)
\(164\) −13980.8 186561.i −0.0405904 0.541641i
\(165\) −222141. 384760.i −0.635213 1.10022i
\(166\) 107039. 185398.i 0.301490 0.522196i
\(167\) −164075. 79014.5i −0.455252 0.219238i 0.192182 0.981359i \(-0.438444\pi\)
−0.647434 + 0.762121i \(0.724158\pi\)
\(168\) −47692.9 + 107012.i −0.130371 + 0.292522i
\(169\) 326752. 157356.i 0.880038 0.423804i
\(170\) −3311.06 + 44183.0i −0.00878707 + 0.117255i
\(171\) 359436. 110871.i 0.940007 0.289954i
\(172\) 366927. 113182.i 0.945712 0.291713i
\(173\) −38863.2 + 518594.i −0.0987242 + 1.31738i 0.699331 + 0.714798i \(0.253481\pi\)
−0.798055 + 0.602585i \(0.794138\pi\)
\(174\) 349702. 168408.i 0.875639 0.421685i
\(175\) −182704. + 409946.i −0.450976 + 1.01189i
\(176\) −649992. 313019.i −1.58171 0.761710i
\(177\) 3769.93 6529.72i 0.00904484 0.0156661i
\(178\) −121723. 210830.i −0.287953 0.498749i
\(179\) 18348.6 + 244845.i 0.0428025 + 0.571160i 0.976838 + 0.213980i \(0.0686427\pi\)
−0.934036 + 0.357180i \(0.883738\pi\)
\(180\) 83858.3 + 213667.i 0.192914 + 0.491538i
\(181\) −109299. + 478872.i −0.247983 + 1.08648i 0.685560 + 0.728016i \(0.259558\pi\)
−0.933542 + 0.358467i \(0.883300\pi\)
\(182\) 60244.1 + 61198.1i 0.134814 + 0.136949i
\(183\) 21814.7 + 95576.6i 0.0481529 + 0.210972i
\(184\) −53435.1 + 36431.4i −0.116354 + 0.0793289i
\(185\) −390932. + 362732.i −0.839792 + 0.779213i
\(186\) −456663. 68830.9i −0.967862 0.145882i
\(187\) −31829.1 29533.1i −0.0665611 0.0617596i
\(188\) 325196. + 407783.i 0.671043 + 0.841462i
\(189\) −130937. + 473744.i −0.266628 + 0.964693i
\(190\) −905776. + 1.13581e6i −1.82027 + 2.28255i
\(191\) −528014. + 79585.3i −1.04728 + 0.157852i −0.650068 0.759876i \(-0.725260\pi\)
−0.397210 + 0.917728i \(0.630022\pi\)
\(192\) −20921.2 14263.9i −0.0409576 0.0279244i
\(193\) 43203.8 110082.i 0.0834890 0.212726i −0.883033 0.469312i \(-0.844502\pi\)
0.966522 + 0.256585i \(0.0825974\pi\)
\(194\) 101972. + 31454.0i 0.194525 + 0.0600029i
\(195\) 72738.0 0.136986
\(196\) 142075. 283539.i 0.264167 0.527197i
\(197\) 87843.5 0.161266 0.0806332 0.996744i \(-0.474306\pi\)
0.0806332 + 0.996744i \(0.474306\pi\)
\(198\) −579460. 178740.i −1.05041 0.324010i
\(199\) 126375. 321998.i 0.226219 0.576396i −0.772028 0.635589i \(-0.780757\pi\)
0.998247 + 0.0591929i \(0.0188527\pi\)
\(200\) 267876. + 182635.i 0.473542 + 0.322855i
\(201\) 339261. 51135.4i 0.592303 0.0892754i
\(202\) 436504. 547359.i 0.752679 0.943830i
\(203\) 672377. 287089.i 1.14518 0.488964i
\(204\) −8689.97 10896.9i −0.0146198 0.0183327i
\(205\) −589861. 547311.i −0.980314 0.909598i
\(206\) 831500. + 125328.i 1.36519 + 0.205770i
\(207\) −75873.6 + 70400.4i −0.123074 + 0.114196i
\(208\) 97590.0 66535.7i 0.156404 0.106634i
\(209\) −316797. 1.38798e6i −0.501666 2.19794i
\(210\) −233803. 685394.i −0.365848 1.07249i
\(211\) −35957.8 + 157541.i −0.0556015 + 0.243606i −0.995090 0.0989744i \(-0.968444\pi\)
0.939488 + 0.342581i \(0.111301\pi\)
\(212\) 81308.8 + 207172.i 0.124250 + 0.316585i
\(213\) 60817.0 + 811547.i 0.0918494 + 1.22564i
\(214\) 72505.5 + 125583.i 0.108227 + 0.187455i
\(215\) 825779. 1.43029e6i 1.21834 2.11022i
\(216\) 319887. + 154050.i 0.466512 + 0.224660i
\(217\) −853427. 168432.i −1.23032 0.242815i
\(218\) 398278. 191801.i 0.567604 0.273344i
\(219\) 2238.71 29873.5i 0.00315419 0.0420897i
\(220\) 830163. 256071.i 1.15640 0.356701i
\(221\) 6792.90 2095.33i 0.00935566 0.00288584i
\(222\) 33796.7 450985.i 0.0460248 0.614158i
\(223\) −1.00238e6 + 482720.i −1.34980 + 0.650030i −0.962338 0.271855i \(-0.912363\pi\)
−0.387463 + 0.921885i \(0.626649\pi\)
\(224\) −629866. 472550.i −0.838742 0.629257i
\(225\) 467490. + 225132.i 0.615625 + 0.296470i
\(226\) −192607. + 333606.i −0.250843 + 0.434473i
\(227\) 199283. + 345167.i 0.256687 + 0.444596i 0.965352 0.260949i \(-0.0840356\pi\)
−0.708665 + 0.705545i \(0.750702\pi\)
\(228\) −34151.1 455715.i −0.0435078 0.580572i
\(229\) −13843.7 35273.2i −0.0174447 0.0444484i 0.921886 0.387461i \(-0.126648\pi\)
−0.939331 + 0.343013i \(0.888553\pi\)
\(230\) 88953.0 389729.i 0.110877 0.485783i
\(231\) 667991. + 239647.i 0.823647 + 0.295489i
\(232\) −117519. 514884.i −0.143347 0.628043i
\(233\) −791188. + 539423.i −0.954750 + 0.650938i −0.937157 0.348907i \(-0.886553\pi\)
−0.0175932 + 0.999845i \(0.505600\pi\)
\(234\) 72777.4 67527.5i 0.0868874 0.0806197i
\(235\) 2.21828e6 + 334351.i 2.62027 + 0.394942i
\(236\) 10807.8 + 10028.2i 0.0126316 + 0.0117204i
\(237\) −427627. 536228.i −0.494532 0.620124i
\(238\) −41578.4 57272.9i −0.0475800 0.0655401i
\(239\) 248189. 311219.i 0.281053 0.352429i −0.621188 0.783661i \(-0.713350\pi\)
0.902241 + 0.431233i \(0.141921\pi\)
\(240\) −984911. + 148451.i −1.10375 + 0.166363i
\(241\) −102749. 70053.0i −0.113955 0.0776934i 0.505001 0.863119i \(-0.331492\pi\)
−0.618957 + 0.785425i \(0.712444\pi\)
\(242\) −418860. + 1.06724e6i −0.459759 + 1.17145i
\(243\) 878824. + 271081.i 0.954743 + 0.294499i
\(244\) −191699. −0.206132
\(245\) −381536. 1.30961e6i −0.406088 1.39389i
\(246\) 682381. 0.718934
\(247\) 222728. + 68702.6i 0.232291 + 0.0716524i
\(248\) −229573. + 584943.i −0.237024 + 0.603927i
\(249\) 239318. + 163164.i 0.244611 + 0.166773i
\(250\) −192882. + 29072.3i −0.195183 + 0.0294191i
\(251\) −799151. + 1.00210e6i −0.800654 + 1.00399i 0.199058 + 0.979988i \(0.436212\pi\)
−0.999712 + 0.0240004i \(0.992360\pi\)
\(252\) −322803. 173864.i −0.320211 0.172468i
\(253\) 244252. + 306282.i 0.239903 + 0.300829i
\(254\) 536985. + 498249.i 0.522249 + 0.484576i
\(255\) −59277.3 8934.62i −0.0570871 0.00860450i
\(256\) −979900. + 909214.i −0.934505 + 0.867094i
\(257\) −1.08933e6 + 742695.i −1.02879 + 0.701420i −0.955228 0.295871i \(-0.904390\pi\)
−0.0735656 + 0.997290i \(0.523438\pi\)
\(258\) 311657. + 1.36546e6i 0.291492 + 1.27711i
\(259\) 102025. 845729.i 0.0945054 0.783397i
\(260\) −31649.9 + 138667.i −0.0290361 + 0.127216i
\(261\) −308795. 786798.i −0.280588 0.714927i
\(262\) −677.444 9039.86i −0.000609705 0.00813595i
\(263\) 204410. + 354049.i 0.182227 + 0.315627i 0.942639 0.333815i \(-0.108336\pi\)
−0.760411 + 0.649442i \(0.775003\pi\)
\(264\) 256325. 443967.i 0.226350 0.392050i
\(265\) 862436. + 415327.i 0.754418 + 0.363309i
\(266\) −68549.6 2.31955e6i −0.0594020 2.01002i
\(267\) 296761. 142912.i 0.254758 0.122685i
\(268\) −50135.8 + 669016.i −0.0426394 + 0.568983i
\(269\) 1.50189e6 463272.i 1.26549 0.390351i 0.411865 0.911245i \(-0.364877\pi\)
0.853622 + 0.520894i \(0.174401\pi\)
\(270\) −2.09710e6 + 646871.i −1.75069 + 0.540018i
\(271\) 157545. 2.10230e6i 0.130311 1.73888i −0.423195 0.906039i \(-0.639092\pi\)
0.553506 0.832845i \(-0.313289\pi\)
\(272\) −87703.1 + 42235.6i −0.0718775 + 0.0346144i
\(273\) −88660.3 + 75094.2i −0.0719983 + 0.0609817i
\(274\) −203884. 98185.3i −0.164061 0.0790078i
\(275\) 981940. 1.70077e6i 0.782985 1.35617i
\(276\) 62874.9 + 108903.i 0.0496827 + 0.0860529i
\(277\) −114498. 1.52788e6i −0.0896603 1.19643i −0.842672 0.538427i \(-0.819019\pi\)
0.753012 0.658007i \(-0.228600\pi\)
\(278\) 656393. + 1.67246e6i 0.509392 + 1.29791i
\(279\) −223784. + 980461.i −0.172115 + 0.754084i
\(280\) −979994. + 102629.i −0.747013 + 0.0782306i
\(281\) 378630. + 1.65889e6i 0.286055 + 1.25329i 0.889889 + 0.456177i \(0.150782\pi\)
−0.603834 + 0.797110i \(0.706361\pi\)
\(282\) −1.57185e6 + 1.07167e6i −1.17703 + 0.802487i
\(283\) −448105. + 415780.i −0.332593 + 0.308601i −0.828736 0.559639i \(-0.810940\pi\)
0.496143 + 0.868241i \(0.334749\pi\)
\(284\) −1.57359e6 237181.i −1.15770 0.174495i
\(285\) −1.44086e6 1.33692e6i −1.05077 0.974976i
\(286\) −234284. 293783.i −0.169367 0.212379i
\(287\) 1.28402e6 + 58148.7i 0.920169 + 0.0416711i
\(288\) −567586. + 711730.i −0.403228 + 0.505631i
\(289\) 1.39821e6 210746.i 0.984751 0.148427i
\(290\) 2.69719e6 + 1.83891e6i 1.88329 + 1.28400i
\(291\) −52748.4 + 134401.i −0.0365154 + 0.0930398i
\(292\) 55976.6 + 17266.5i 0.0384193 + 0.0118508i
\(293\) −588908. −0.400755 −0.200377 0.979719i \(-0.564217\pi\)
−0.200377 + 0.979719i \(0.564217\pi\)
\(294\) 992577. + 594050.i 0.669724 + 0.400825i
\(295\) 63413.5 0.0424255
\(296\) −588019. 181380.i −0.390087 0.120326i
\(297\) 785729. 2.00201e6i 0.516871 1.31696i
\(298\) 2.20368e6 + 1.50244e6i 1.43750 + 0.980070i
\(299\) −63420.8 + 9559.15i −0.0410255 + 0.00618360i
\(300\) 393046. 492865.i 0.252139 0.316173i
\(301\) 470081. + 2.59591e6i 0.299059 + 1.65148i
\(302\) −1.05929e6 1.32830e6i −0.668337 0.838069i
\(303\) 694367. + 644279.i 0.434493 + 0.403150i
\(304\) −3.15608e6 475702.i −1.95868 0.295223i
\(305\) −604410. + 560811.i −0.372033 + 0.345197i
\(306\) −67604.0 + 46091.7i −0.0412733 + 0.0281397i
\(307\) 126025. + 552151.i 0.0763151 + 0.334358i 0.998645 0.0520457i \(-0.0165742\pi\)
−0.922330 + 0.386404i \(0.873717\pi\)
\(308\) −747519. + 1.16918e6i −0.448999 + 0.702270i
\(309\) −253167. + 1.10920e6i −0.150838 + 0.660864i
\(310\) −1.41902e6 3.61562e6i −0.838660 2.13687i
\(311\) −150441. 2.00749e6i −0.0881993 1.17694i −0.849159 0.528138i \(-0.822890\pi\)
0.760959 0.648800i \(-0.224729\pi\)
\(312\) 41965.5 + 72686.3i 0.0244065 + 0.0422733i
\(313\) 752923. 1.30410e6i 0.434400 0.752403i −0.562846 0.826561i \(-0.690294\pi\)
0.997246 + 0.0741586i \(0.0236271\pi\)
\(314\) 2.67048e6 + 1.28604e6i 1.52850 + 0.736088i
\(315\) −1.52641e6 + 396175.i −0.866751 + 0.224963i
\(316\) 1.20833e6 581902.i 0.680720 0.327817i
\(317\) −51958.0 + 693332.i −0.0290405 + 0.387519i 0.963678 + 0.267065i \(0.0860540\pi\)
−0.992719 + 0.120454i \(0.961565\pi\)
\(318\) −775698. + 239271.i −0.430155 + 0.132685i
\(319\) −3.05695e6 + 942944.i −1.68194 + 0.518811i
\(320\) 15914.6 212365.i 0.00868800 0.115933i
\(321\) −176769. + 85127.5i −0.0957511 + 0.0461113i
\(322\) 293928. + 566874.i 0.157980 + 0.304682i
\(323\) −173072. 83347.1i −0.0923040 0.0444513i
\(324\) 1556.90 2696.63i 0.000823944 0.00142711i
\(325\) 160763. + 278450.i 0.0844265 + 0.146231i
\(326\) −354624. 4.73212e6i −0.184809 2.46611i
\(327\) 218510. + 556754.i 0.113006 + 0.287935i
\(328\) 206608. 905208.i 0.106038 0.464583i
\(329\) −3.04904e6 + 1.88259e6i −1.55300 + 0.958885i
\(330\) 705115. + 3.08931e6i 0.356431 + 1.56162i
\(331\) 2.36340e6 1.61134e6i 1.18568 0.808383i 0.200464 0.979701i \(-0.435755\pi\)
0.985216 + 0.171319i \(0.0548027\pi\)
\(332\) −415187. + 385237.i −0.206728 + 0.191815i
\(333\) −973833. 146782.i −0.481254 0.0725373i
\(334\) 952133. + 883451.i 0.467016 + 0.433327i
\(335\) 1.79912e6 + 2.25602e6i 0.875886 + 1.09833i
\(336\) 1.04725e6 1.19776e6i 0.506059 0.578792i
\(337\) 1.16655e6 1.46281e6i 0.559536 0.701636i −0.418936 0.908016i \(-0.637597\pi\)
0.978472 + 0.206380i \(0.0661682\pi\)
\(338\) −2.55776e6 + 385521.i −1.21778 + 0.183551i
\(339\) −430630. 293598.i −0.203519 0.138757i
\(340\) 42825.8 109118.i 0.0200913 0.0511918i
\(341\) 3.63726e6 + 1.12194e6i 1.69390 + 0.522499i
\(342\) −2.68279e6 −1.24029
\(343\) 1.81709e6 + 1.20239e6i 0.833952 + 0.551837i
\(344\) 1.90570e6 0.868277
\(345\) 516832. + 159421.i 0.233777 + 0.0721106i
\(346\) 1.35510e6 3.45274e6i 0.608529 1.55051i
\(347\) −332305. 226562.i −0.148154 0.101010i 0.486974 0.873416i \(-0.338100\pi\)
−0.635128 + 0.772407i \(0.719053\pi\)
\(348\) −1.01542e6 + 153050.i −0.449467 + 0.0677463i
\(349\) −952697. + 1.19464e6i −0.418689 + 0.525019i −0.945788 0.324785i \(-0.894708\pi\)
0.527099 + 0.849804i \(0.323280\pi\)
\(350\) 2.10703e6 2.40986e6i 0.919392 1.05153i
\(351\) 219536. + 275289.i 0.0951126 + 0.119267i
\(352\) 2.52574e6 + 2.34355e6i 1.08651 + 1.00813i
\(353\) −907820. 136832.i −0.387760 0.0584454i −0.0477307 0.998860i \(-0.515199\pi\)
−0.340029 + 0.940415i \(0.610437\pi\)
\(354\) −39421.1 + 36577.4i −0.0167194 + 0.0155133i
\(355\) −5.65527e6 + 3.85569e6i −2.38167 + 1.62380i
\(356\) 143320. + 627927.i 0.0599353 + 0.262594i
\(357\) 81477.1 50307.1i 0.0338349 0.0208910i
\(358\) 389679. 1.70730e6i 0.160694 0.704046i
\(359\) −437249. 1.11409e6i −0.179058 0.456231i 0.812962 0.582317i \(-0.197854\pi\)
−0.992019 + 0.126086i \(0.959759\pi\)
\(360\) 85129.8 + 1.13598e6i 0.0346198 + 0.461970i
\(361\) −1.91120e6 3.31030e6i −0.771859 1.33690i
\(362\) 1.75165e6 3.03394e6i 0.702547 1.21685i
\(363\) −1.39758e6 673038.i −0.556684 0.268085i
\(364\) −104581. 201697.i −0.0413713 0.0797894i
\(365\) 227002. 109318.i 0.0891862 0.0429498i
\(366\) 52252.2 697257.i 0.0203893 0.272076i
\(367\) 148056. 45669.3i 0.0573801 0.0176994i −0.265932 0.963992i \(-0.585680\pi\)
0.323312 + 0.946292i \(0.395204\pi\)
\(368\) 839243. 258872.i 0.323049 0.0996473i
\(369\) 111047. 1.48182e6i 0.0424562 0.566538i
\(370\) 3.42694e6 1.65033e6i 1.30137 0.626708i
\(371\) −1.48000e6 + 384131.i −0.558249 + 0.144892i
\(372\) 1.10083e6 + 530131.i 0.412441 + 0.198621i
\(373\) −1.39328e6 + 2.41322e6i −0.518519 + 0.898101i 0.481249 + 0.876584i \(0.340183\pi\)
−0.999768 + 0.0215177i \(0.993150\pi\)
\(374\) 154842. + 268194.i 0.0572414 + 0.0991450i
\(375\) −19722.5 263178.i −0.00724242 0.0966433i
\(376\) 945698. + 2.40960e6i 0.344971 + 0.878973i
\(377\) 116546. 510621.i 0.0422322 0.185031i
\(378\) 1.88833e6 2.95350e6i 0.679750 1.06318i
\(379\) −1.14831e6 5.03107e6i −0.410640 1.79913i −0.581175 0.813778i \(-0.697407\pi\)
0.170536 0.985352i \(-0.445450\pi\)
\(380\) 3.17565e6 2.16512e6i 1.12817 0.769171i
\(381\) −726537. + 674128.i −0.256416 + 0.237919i
\(382\) 3.76596e6 + 567627.i 1.32043 + 0.199023i
\(383\) −3.04531e6 2.82563e6i −1.06080 0.984280i −0.0608976 0.998144i \(-0.519396\pi\)
−0.999904 + 0.0138641i \(0.995587\pi\)
\(384\) −1.05681e6 1.32520e6i −0.365738 0.458620i
\(385\) 1.06355e6 + 5.87317e6i 0.365683 + 2.01939i
\(386\) −525876. + 659427.i −0.179645 + 0.225267i
\(387\) 3.01586e6 454568.i 1.02361 0.154284i
\(388\) −233269. 159040.i −0.0786642 0.0536323i
\(389\) 109511. 279028.i 0.0366929 0.0934920i −0.911353 0.411626i \(-0.864961\pi\)
0.948046 + 0.318134i \(0.103056\pi\)
\(390\) −495741. 152916.i −0.165041 0.0509086i
\(391\) 52858.6 0.0174853
\(392\) 1.08856e6 1.13683e6i 0.357797 0.373664i
\(393\) 12265.2 0.00400582
\(394\) −598691. 184672.i −0.194295 0.0599322i
\(395\) 2.10743e6 5.36963e6i 0.679610 1.73162i
\(396\) 1.32557e6 + 903755.i 0.424779 + 0.289609i
\(397\) −4.43457e6 + 668403.i −1.41213 + 0.212844i −0.810411 0.585862i \(-0.800756\pi\)
−0.601720 + 0.798707i \(0.705518\pi\)
\(398\) −1.53823e6 + 1.92888e6i −0.486759 + 0.610376i
\(399\) 3.13649e6 + 142040.i 0.986306 + 0.0446662i
\(400\) −2.74511e6 3.44226e6i −0.857848 1.07571i
\(401\) −1.25315e6 1.16275e6i −0.389173 0.361099i 0.461186 0.887304i \(-0.347424\pi\)
−0.850358 + 0.526204i \(0.823615\pi\)
\(402\) −2.41971e6 364713.i −0.746791 0.112561i
\(403\) −456822. + 423868.i −0.140115 + 0.130008i
\(404\) −1.53038e6 + 1.04340e6i −0.466495 + 0.318051i
\(405\) −2980.15 13056.9i −0.000902820 0.00395551i
\(406\) −5.18608e6 + 543110.i −1.56144 + 0.163521i
\(407\) −829441. + 3.63402e6i −0.248199 + 1.08743i
\(408\) −25271.2 64390.0i −0.00751580 0.0191500i
\(409\) 236553. + 3.15658e6i 0.0699230 + 0.933058i 0.916305 + 0.400481i \(0.131157\pi\)
−0.846382 + 0.532576i \(0.821224\pi\)
\(410\) 2.86956e6 + 4.97022e6i 0.843053 + 1.46021i
\(411\) 153087. 265155.i 0.0447027 0.0774274i
\(412\) −2.00441e6 965271.i −0.581759 0.280160i
\(413\) −77294.7 + 65467.6i −0.0222984 + 0.0188865i
\(414\) 665113. 320302.i 0.190719 0.0918456i
\(415\) −182046. + 2.42924e6i −0.0518874 + 0.692389i
\(416\) −539039. + 166271.i −0.152717 + 0.0471069i
\(417\) −2.32287e6 + 716511.i −0.654161 + 0.201782i
\(418\) −758813. + 1.01257e7i −0.212419 + 2.83454i
\(419\) −1.80713e6 + 870268.i −0.502868 + 0.242169i −0.668080 0.744090i \(-0.732884\pi\)
0.165212 + 0.986258i \(0.447169\pi\)
\(420\) 56596.6 + 1.91509e6i 0.0156555 + 0.529744i
\(421\) −989498. 476517.i −0.272088 0.131031i 0.292865 0.956154i \(-0.405391\pi\)
−0.564953 + 0.825123i \(0.691106\pi\)
\(422\) 576264. 998119.i 0.157522 0.272836i
\(423\) 2.07138e6 + 3.58773e6i 0.562871 + 0.974921i
\(424\) 82541.7 + 1.10144e6i 0.0222976 + 0.297541i
\(425\) −96810.1 246668.i −0.0259985 0.0662431i
\(426\) 1.29161e6 5.65890e6i 0.344831 1.51080i
\(427\) 157738. 1.30756e6i 0.0418665 0.347050i
\(428\) −85370.4 374032.i −0.0225267 0.0986960i
\(429\) 420063. 286394.i 0.110197 0.0751314i
\(430\) −8.63491e6 + 8.01203e6i −2.25210 + 2.08964i
\(431\) 5.76678e6 + 869202.i 1.49534 + 0.225386i 0.845209 0.534435i \(-0.179476\pi\)
0.650131 + 0.759822i \(0.274714\pi\)
\(432\) −3.53447e6 3.27951e6i −0.911204 0.845474i
\(433\) −3.72824e6 4.67506e6i −0.955616 1.19831i −0.980080 0.198604i \(-0.936359\pi\)
0.0244633 0.999701i \(-0.492212\pi\)
\(434\) 5.46238e6 + 2.94208e6i 1.39206 + 0.749774i
\(435\) −2.75379e6 + 3.45314e6i −0.697763 + 0.874967i
\(436\) −1.15647e6 + 174310.i −0.291352 + 0.0439143i
\(437\) 1.43199e6 + 976317.i 0.358705 + 0.244561i
\(438\) −78060.3 + 198895.i −0.0194422 + 0.0495379i
\(439\) 338535. + 104424.i 0.0838383 + 0.0258607i 0.336391 0.941723i \(-0.390794\pi\)
−0.252552 + 0.967583i \(0.581270\pi\)
\(440\) 4.31159e6 1.06171
\(441\) 1.45153e6 2.05875e6i 0.355410 0.504089i
\(442\) −50701.5 −0.0123443
\(443\) 5.95656e6 + 1.83736e6i 1.44207 + 0.444820i 0.914463 0.404669i \(-0.132613\pi\)
0.527606 + 0.849489i \(0.323090\pi\)
\(444\) −437132. + 1.11379e6i −0.105234 + 0.268131i
\(445\) 2.28886e6 + 1.56052e6i 0.547924 + 0.373568i
\(446\) 7.84646e6 1.18266e6i 1.86783 0.281530i
\(447\) −2.24992e6 + 2.82131e6i −0.532597 + 0.667855i
\(448\) 199846. + 275282.i 0.0470436 + 0.0648011i
\(449\) 1.63276e6 + 2.04741e6i 0.382213 + 0.479280i 0.935306 0.353839i \(-0.115124\pi\)
−0.553093 + 0.833119i \(0.686553\pi\)
\(450\) −2.71286e6 2.51717e6i −0.631533 0.585977i
\(451\) −5.56141e6 838248.i −1.28749 0.194058i
\(452\) 747091. 693199.i 0.171999 0.159592i
\(453\) 1.89926e6 1.29489e6i 0.434850 0.296476i
\(454\) −632557. 2.77141e6i −0.144032 0.631047i
\(455\) −919794. 329983.i −0.208287 0.0747244i
\(456\) 504683. 2.21116e6i 0.113660 0.497976i
\(457\) 2.27545e6 + 5.79775e6i 0.509655 + 1.29858i 0.921872 + 0.387494i \(0.126659\pi\)
−0.412217 + 0.911086i \(0.635245\pi\)
\(458\) 20196.7 + 269506.i 0.00449900 + 0.0600350i
\(459\) −145095. 251312.i −0.0321455 0.0556776i
\(460\) −528805. + 915917.i −0.116520 + 0.201819i
\(461\) −3.60803e6 1.73754e6i −0.790712 0.380787i −0.00547718 0.999985i \(-0.501743\pi\)
−0.785235 + 0.619198i \(0.787458\pi\)
\(462\) −4.04885e6 3.03760e6i −0.882524 0.662104i
\(463\) 2.46012e6 1.18473e6i 0.533340 0.256843i −0.147773 0.989021i \(-0.547210\pi\)
0.681113 + 0.732178i \(0.261496\pi\)
\(464\) −535964. + 7.15194e6i −0.115569 + 1.54216i
\(465\) 5.02170e6 1.54899e6i 1.07701 0.332213i
\(466\) 6.52631e6 2.01310e6i 1.39220 0.429438i
\(467\) −128289. + 1.71190e6i −0.0272207 + 0.363235i 0.966915 + 0.255098i \(0.0821076\pi\)
−0.994136 + 0.108137i \(0.965511\pi\)
\(468\) −236650. + 113965.i −0.0499451 + 0.0240523i
\(469\) −4.52204e6 892467.i −0.949298 0.187353i
\(470\) −1.44156e7 6.94219e6i −3.01015 1.44961i
\(471\) −2.00515e6 + 3.47301e6i −0.416479 + 0.721364i
\(472\) 36585.8 + 63368.4i 0.00755888 + 0.0130924i
\(473\) −862655. 1.15113e7i −0.177290 2.36577i
\(474\) 1.78716e6 + 4.55362e6i 0.365358 + 0.930916i
\(475\) 1.93336e6 8.47062e6i 0.393169 1.72259i
\(476\) 60452.7 + 177217.i 0.0122292 + 0.0358499i
\(477\) 393354. + 1.72340e6i 0.0791567 + 0.346808i
\(478\) −2.34578e6 + 1.59933e6i −0.469589 + 0.320161i
\(479\) 1.34656e6 1.24943e6i 0.268156 0.248813i −0.534621 0.845092i \(-0.679545\pi\)
0.802777 + 0.596279i \(0.203355\pi\)
\(480\) 4.70385e6 + 708991.i 0.931859 + 0.140455i
\(481\) −447354. 415084.i −0.0881634 0.0818037i
\(482\) 553007. + 693448.i 0.108421 + 0.135955i
\(483\) −794551. + 339255.i −0.154972 + 0.0661695i
\(484\) 1.89119e6 2.37148e6i 0.366963 0.460157i
\(485\) −1.20074e6 + 180983.i −0.231791 + 0.0349368i
\(486\) −5.41968e6 3.69507e6i −1.04084 0.709631i
\(487\) 3.08627e6 7.86370e6i 0.589674 1.50247i −0.254868 0.966976i \(-0.582032\pi\)
0.844542 0.535489i \(-0.179873\pi\)
\(488\) −909121. 280427.i −0.172811 0.0533052i
\(489\) 6.42048e6 1.21421
\(490\) −152845. + 9.72768e6i −0.0287581 + 1.83029i
\(491\) −8.77369e6 −1.64240 −0.821200 0.570641i \(-0.806695\pi\)
−0.821200 + 0.570641i \(0.806695\pi\)
\(492\) −1.72515e6 532138.i −0.321302 0.0991086i
\(493\) −157699. + 401812.i −0.0292222 + 0.0744569i
\(494\) −1.37356e6 936476.i −0.253238 0.172655i
\(495\) 6.82331e6 1.02845e6i 1.25165 0.188656i
\(496\) 5.32053e6 6.67173e6i 0.971071 1.21768i
\(497\) 2.91261e6 1.05382e7i 0.528921 1.91370i
\(498\) −1.28804e6 1.61515e6i −0.232731 0.291836i
\(499\) 450259. + 417779.i 0.0809489 + 0.0751096i 0.719610 0.694379i \(-0.244321\pi\)
−0.638661 + 0.769488i \(0.720511\pi\)
\(500\) 510303. + 76915.8i 0.0912858 + 0.0137591i
\(501\) −1.28823e6 + 1.19530e6i −0.229297 + 0.212757i
\(502\) 7.55327e6 5.14973e6i 1.33775 0.912064i
\(503\) 1.55915e6 + 6.83109e6i 0.274769 + 1.20384i 0.904310 + 0.426876i \(0.140386\pi\)
−0.629541 + 0.776967i \(0.716757\pi\)
\(504\) −1.27654e6 1.29675e6i −0.223850 0.227395i
\(505\) −1.77273e6 + 7.76685e6i −0.309325 + 1.35524i
\(506\) −1.02079e6 2.60093e6i −0.177239 0.451598i
\(507\) −261535. 3.48994e6i −0.0451866 0.602973i
\(508\) −969021. 1.67839e6i −0.166600 0.288559i
\(509\) −3.00771e6 + 5.20951e6i −0.514567 + 0.891257i 0.485290 + 0.874353i \(0.338714\pi\)
−0.999857 + 0.0169032i \(0.994619\pi\)
\(510\) 385218. + 185511.i 0.0655814 + 0.0315823i
\(511\) −163833. + 367604.i −0.0277555 + 0.0622770i
\(512\) 3.52576e6 1.69792e6i 0.594399 0.286248i
\(513\) 711046. 9.48824e6i 0.119290 1.59181i
\(514\) 8.98564e6 2.77170e6i 1.50017 0.462742i
\(515\) −9.14361e6 + 2.82043e6i −1.51915 + 0.468594i
\(516\) 276909. 3.69509e6i 0.0457839 0.610943i
\(517\) 1.41270e7 6.80323e6i 2.32448 1.11941i
\(518\) −2.47330e6 + 5.54952e6i −0.404998 + 0.908723i
\(519\) 4.52146e6 + 2.17742e6i 0.736817 + 0.354833i
\(520\) −352947. + 611323.i −0.0572402 + 0.0991430i
\(521\) −1.01846e6 1.76403e6i −0.164381 0.284716i 0.772054 0.635556i \(-0.219229\pi\)
−0.936435 + 0.350841i \(0.885896\pi\)
\(522\) 450503. + 6.01154e6i 0.0723638 + 0.965628i
\(523\) 501077. + 1.27672e6i 0.0801032 + 0.204100i 0.965315 0.261089i \(-0.0840817\pi\)
−0.885211 + 0.465189i \(0.845986\pi\)
\(524\) −5336.84 + 23382.2i −0.000849094 + 0.00372013i
\(525\) 3.03837e6 + 3.08649e6i 0.481108 + 0.488727i
\(526\) −648833. 2.84272e6i −0.102251 0.447992i
\(527\) 424349. 289316.i 0.0665574 0.0453781i
\(528\) −5.10338e6 + 4.73524e6i −0.796660 + 0.739192i
\(529\) 5.89287e6 + 888208.i 0.915562 + 0.137999i
\(530\) −5.00474e6 4.64372e6i −0.773912 0.718086i
\(531\) 73014.1 + 91556.8i 0.0112375 + 0.0140914i
\(532\) −1.63554e6 + 5.91758e6i −0.250543 + 0.906495i
\(533\) 574109. 719910.i 0.0875339 0.109764i
\(534\) −2.32300e6 + 350135.i −0.352529 + 0.0531352i
\(535\) −1.36339e6 929543.i −0.205937 0.140406i
\(536\) −1.21644e6 + 3.09943e6i −0.182885 + 0.465983i
\(537\) 2.26410e6 + 698382.i 0.338813 + 0.104510i
\(538\) −1.12100e7 −1.66974
\(539\) −7.35978e6 6.06081e6i −1.09117 0.898584i
\(540\) 5.80620e6 0.856855
\(541\) 1.00859e7 + 3.11110e6i 1.48157 + 0.457005i 0.926978 0.375116i \(-0.122397\pi\)
0.554595 + 0.832121i \(0.312873\pi\)
\(542\) −5.49336e6 + 1.39968e7i −0.803230 + 2.04660i
\(543\) 3.91632e6 + 2.67010e6i 0.570004 + 0.388622i
\(544\) 459709. 69290.1i 0.0666018 0.0100386i
\(545\) −3.13631e6 + 3.93281e6i −0.452302 + 0.567169i
\(546\) 762127. 325410.i 0.109407 0.0467143i
\(547\) −6.52942e6 8.18764e6i −0.933054 1.17001i −0.985206 0.171373i \(-0.945180\pi\)
0.0521527 0.998639i \(-0.483392\pi\)
\(548\) 438878. + 407219.i 0.0624298 + 0.0579264i
\(549\) −1.50562e6 226935.i −0.213198 0.0321345i
\(550\) −1.02678e7 + 9.52717e6i −1.44735 + 1.34294i
\(551\) −1.16938e7 + 7.97273e6i −1.64089 + 1.11874i
\(552\) 138873. + 608441.i 0.0193985 + 0.0849906i
\(553\) 2.97483e6 + 8.72074e6i 0.413666 + 1.21266i
\(554\) −2.43167e6 + 1.06538e7i −0.336612 + 1.47480i
\(555\) 1.88014e6 + 4.79052e6i 0.259094 + 0.660161i
\(556\) −355220. 4.74008e6i −0.0487315 0.650277i
\(557\) −1.90993e6 3.30810e6i −0.260844 0.451795i 0.705623 0.708588i \(-0.250667\pi\)
−0.966466 + 0.256793i \(0.917334\pi\)
\(558\) 3.58639e6 6.21181e6i 0.487609 0.844564i
\(559\) 1.70276e6 + 820006.i 0.230475 + 0.110991i
\(560\) 1.31280e7 + 2.59093e6i 1.76900 + 0.349128i
\(561\) −377507. + 181798.i −0.0506428 + 0.0243883i
\(562\) 906920. 1.21020e7i 0.121123 1.61628i
\(563\) 4.82504e6 1.48833e6i 0.641549 0.197892i 0.0431230 0.999070i \(-0.486269\pi\)
0.598426 + 0.801178i \(0.295793\pi\)
\(564\) 4.80955e6 1.48355e6i 0.636659 0.196383i
\(565\) 327576. 4.37119e6i 0.0431709 0.576075i
\(566\) 3.92812e6 1.89168e6i 0.515398 0.248203i
\(567\) 17112.4 + 12838.4i 0.00223539 + 0.00167707i
\(568\) −7.11571e6 3.42674e6i −0.925438 0.445667i
\(569\) −2.50723e6 + 4.34264e6i −0.324648 + 0.562307i −0.981441 0.191764i \(-0.938579\pi\)
0.656793 + 0.754071i \(0.271913\pi\)
\(570\) 7.00949e6 + 1.21408e7i 0.903648 + 1.56516i
\(571\) −308613. 4.11816e6i −0.0396118 0.528582i −0.981349 0.192233i \(-0.938427\pi\)
0.941737 0.336349i \(-0.109192\pi\)
\(572\) 363202. + 925423.i 0.0464149 + 0.118263i
\(573\) −1.14662e6 + 5.02367e6i −0.145893 + 0.639197i
\(574\) −8.62892e6 3.09568e6i −1.09314 0.392172i
\(575\) 532000. + 2.33085e6i 0.0671030 + 0.293998i
\(576\) 324938. 221539.i 0.0408080 0.0278224i
\(577\) 230106. 213507.i 0.0287732 0.0266977i −0.665655 0.746260i \(-0.731848\pi\)
0.694428 + 0.719562i \(0.255657\pi\)
\(578\) −9.97242e6 1.50310e6i −1.24160 0.187141i
\(579\) −836535. 776191.i −0.103702 0.0962215i
\(580\) −5.38482e6 6.75235e6i −0.664662 0.833460i
\(581\) −2.28604e6 3.14894e6i −0.280959 0.387012i
\(582\) 642051. 805107.i 0.0785710 0.0985249i
\(583\) 6.61587e6 997182.i 0.806150 0.121508i
\(584\) 240207. + 163771.i 0.0291444 + 0.0198703i
\(585\) −412737. + 1.05164e6i −0.0498636 + 0.127050i
\(586\) 4.01367e6 + 1.23805e6i 0.482833 + 0.148934i
\(587\) −1.52329e7 −1.82469 −0.912343 0.409427i \(-0.865729\pi\)
−0.912343 + 0.409427i \(0.865729\pi\)
\(588\) −2.04611e6 2.27587e6i −0.244054 0.271459i
\(589\) 1.68398e7 2.00009
\(590\) −432190. 133313.i −0.0511146 0.0157668i
\(591\) 309694. 789088.i 0.0364724 0.0929302i
\(592\) 6.90456e6 + 4.70745e6i 0.809714 + 0.552054i
\(593\) −7.26219e6 + 1.09460e6i −0.848068 + 0.127826i −0.558677 0.829385i \(-0.688691\pi\)
−0.289391 + 0.957211i \(0.593453\pi\)
\(594\) −9.56387e6 + 1.19927e7i −1.11216 + 1.39460i
\(595\) 709047. + 381898.i 0.0821075 + 0.0442237i
\(596\) −4.39954e6 5.51685e6i −0.507332 0.636174i
\(597\) −2.44694e6 2.27042e6i −0.280987 0.260718i
\(598\) 452337. + 68178.8i 0.0517260 + 0.00779644i
\(599\) −1.01452e6 + 941334.i −0.115529 + 0.107196i −0.735822 0.677175i \(-0.763204\pi\)
0.620293 + 0.784370i \(0.287014\pi\)
\(600\) 2.58499e6 1.76241e6i 0.293144 0.199862i
\(601\) 2.05214e6 + 8.99100e6i 0.231750 + 1.01536i 0.948187 + 0.317712i \(0.102915\pi\)
−0.716437 + 0.697652i \(0.754228\pi\)
\(602\) 2.25353e6 1.86805e7i 0.253438 2.10086i
\(603\) −1.18576e6 + 5.19516e6i −0.132802 + 0.581842i
\(604\) 1.64217e6 + 4.18418e6i 0.183158 + 0.466679i
\(605\) −974943. 1.30097e7i −0.108291 1.44504i
\(606\) −3.37796e6 5.85079e6i −0.373657 0.647192i
\(607\) −4.12444e6 + 7.14375e6i −0.454353 + 0.786963i −0.998651 0.0519293i \(-0.983463\pi\)
0.544297 + 0.838892i \(0.316796\pi\)
\(608\) 1.37338e7 + 6.61386e6i 1.50672 + 0.725598i
\(609\) −208409. 7.05203e6i −0.0227705 0.770497i
\(610\) 5.29830e6 2.55153e6i 0.576517 0.277636i
\(611\) −191840. + 2.55993e6i −0.0207891 + 0.277411i
\(612\) 206855. 63806.4i 0.0223248 0.00688630i
\(613\) 7.49417e6 2.31164e6i 0.805512 0.248468i 0.135461 0.990783i \(-0.456748\pi\)
0.670051 + 0.742315i \(0.266272\pi\)
\(614\) 301864. 4.02809e6i 0.0323139 0.431200i
\(615\) −6.99600e6 + 3.36910e6i −0.745869 + 0.359191i
\(616\) −5.25540e6 + 4.45126e6i −0.558025 + 0.472641i
\(617\) 1.26319e7 + 6.08319e6i 1.33584 + 0.643307i 0.959115 0.283018i \(-0.0913356\pi\)
0.376726 + 0.926325i \(0.377050\pi\)
\(618\) 4.05729e6 7.02743e6i 0.427331 0.740159i
\(619\) −1.89377e6 3.28010e6i −0.198655 0.344081i 0.749437 0.662075i \(-0.230324\pi\)
−0.948093 + 0.317994i \(0.896991\pi\)
\(620\) 767932. + 1.02473e7i 0.0802312 + 1.07061i
\(621\) 956531. + 2.43720e6i 0.0995336 + 0.253608i
\(622\) −3.19500e6 + 1.39982e7i −0.331127 + 1.45076i
\(623\) −4.40097e6 + 460889.i −0.454285 + 0.0475747i
\(624\) −253627. 1.11121e6i −0.0260756 0.114245i
\(625\) −7.10485e6 + 4.84400e6i −0.727536 + 0.496026i
\(626\) −7.87309e6 + 7.30516e6i −0.802988 + 0.745064i
\(627\) −1.35849e7 2.04760e6i −1.38003 0.208006i
\(628\) −5.74845e6 5.33378e6i −0.581636 0.539680i
\(629\) 313582. + 393219.i 0.0316027 + 0.0396286i
\(630\) 1.12360e7 + 508838.i 1.12787 + 0.0510773i
\(631\) 2.13574e6 2.67813e6i 0.213537 0.267768i −0.663514 0.748164i \(-0.730936\pi\)
0.877052 + 0.480396i \(0.159507\pi\)
\(632\) 6.58168e6 992029.i 0.655457 0.0987942i
\(633\) 1.28841e6 + 878420.i 0.127804 + 0.0871351i
\(634\) 1.81170e6 4.61613e6i 0.179004 0.456094i
\(635\) −7.96534e6 2.45698e6i −0.783917 0.241806i
\(636\) 2.14766e6 0.210534
\(637\) 1.46181e6 547373.i 0.142739 0.0534485i
\(638\) 2.28168e7 2.21923
\(639\) −1.20783e7 3.72567e6i −1.17019 0.360955i
\(640\) 5.20816e6 1.32702e7i 0.502614 1.28064i
\(641\) −1.12336e7 7.65894e6i −1.07988 0.736247i −0.113541 0.993533i \(-0.536219\pi\)
−0.966335 + 0.257286i \(0.917172\pi\)
\(642\) 1.38372e6 208562.i 0.132498 0.0199709i
\(643\) 6.77556e6 8.49629e6i 0.646276 0.810404i −0.345496 0.938420i \(-0.612289\pi\)
0.991772 + 0.128016i \(0.0408608\pi\)
\(644\) −301026. 1.66234e6i −0.0286016 0.157945i
\(645\) −9.93684e6 1.24604e7i −0.940479 1.17932i
\(646\) 1.00434e6 + 931893.i 0.0946891 + 0.0878587i
\(647\) 1.94610e7 + 2.93328e6i 1.82770 + 0.275481i 0.970781 0.239969i \(-0.0771371\pi\)
0.856920 + 0.515450i \(0.172375\pi\)
\(648\) 11328.3 10511.1i 0.00105980 0.000983355i
\(649\) 366214. 249681.i 0.0341290 0.0232688i
\(650\) −510290. 2.23573e6i −0.0473733 0.207556i
\(651\) −4.52178e6 + 7.07243e6i −0.418174 + 0.654058i
\(652\) −2.79369e6 + 1.22400e7i −0.257371 + 1.12762i
\(653\) −3.26114e6 8.30924e6i −0.299286 0.762568i −0.998848 0.0479957i \(-0.984717\pi\)
0.699562 0.714572i \(-0.253379\pi\)
\(654\) −318785. 4.25389e6i −0.0291443 0.388903i
\(655\) 51577.6 + 89335.0i 0.00469740 + 0.00813614i
\(656\) −6.30447e6 + 1.09197e7i −0.571991 + 0.990718i
\(657\) 419205. + 201878.i 0.0378890 + 0.0182464i
\(658\) 2.47382e7 6.42074e6i 2.22743 0.578123i
\(659\) 7.63684e6 3.67771e6i 0.685015 0.329886i −0.0588014 0.998270i \(-0.518728\pi\)
0.743817 + 0.668384i \(0.233014\pi\)
\(660\) 626499. 8.36005e6i 0.0559835 0.747048i
\(661\) 8.34519e6 2.57415e6i 0.742904 0.229155i 0.0998777 0.995000i \(-0.468155\pi\)
0.643026 + 0.765844i \(0.277679\pi\)
\(662\) −1.94951e7 + 6.01344e6i −1.72894 + 0.533308i
\(663\) 5126.40 68407.0i 0.000452927 0.00604389i
\(664\) −2.53255e6 + 1.21961e6i −0.222914 + 0.107350i
\(665\) 1.21550e7 + 2.34424e7i 1.06586 + 2.05564i
\(666\) 6.32852e6 + 3.04765e6i 0.552862 + 0.266244i
\(667\) 1.94724e6 3.37273e6i 0.169475 0.293539i
\(668\) −1.71818e6 2.97598e6i −0.148980 0.258041i
\(669\) 802312. + 1.07061e7i 0.0693071 + 0.924839i
\(670\) −7.51897e6 1.91580e7i −0.647100 1.64878i
\(671\) −1.28238e6 + 5.61846e6i −0.109954 + 0.481738i
\(672\) −6.46547e6 + 3.99203e6i −0.552303 + 0.341013i
\(673\) 2.77282e6 + 1.21485e7i 0.235985 + 1.03392i 0.944575 + 0.328296i \(0.106474\pi\)
−0.708590 + 0.705620i \(0.750669\pi\)
\(674\) −1.10258e7 + 7.51724e6i −0.934887 + 0.637395i
\(675\) 9.62148e6 8.92743e6i 0.812798 0.754166i
\(676\) 6.76700e6 + 1.01996e6i 0.569547 + 0.0858453i
\(677\) 1.12158e7 + 1.04068e7i 0.940503 + 0.872659i 0.992029 0.126012i \(-0.0402179\pi\)
−0.0515257 + 0.998672i \(0.516408\pi\)
\(678\) 2.31770e6 + 2.90631e6i 0.193635 + 0.242810i
\(679\) 1.27674e6 1.46024e6i 0.106274 0.121549i
\(680\) 362723. 454840.i 0.0300817 0.0377212i
\(681\) 3.80318e6 573237.i 0.314252 0.0473659i
\(682\) −2.24308e7 1.52931e7i −1.84665 1.25902i
\(683\) 2.50106e6 6.37259e6i 0.205150 0.522714i −0.790856 0.612003i \(-0.790364\pi\)
0.996006 + 0.0892887i \(0.0284594\pi\)
\(684\) 6.78245e6 + 2.09211e6i 0.554302 + 0.170980i
\(685\) 2.57505e6 0.209681
\(686\) −9.85649e6 1.20149e7i −0.799672 0.974784i
\(687\) −365662. −0.0295589
\(688\) −2.47298e7 7.62814e6i −1.99182 0.614395i
\(689\) −400189. + 1.01967e6i −0.0321157 + 0.0818295i
\(690\) −3.18728e6 2.17305e6i −0.254858 0.173759i
\(691\) 5.43372e6 819002.i 0.432915 0.0652514i 0.0710299 0.997474i \(-0.477371\pi\)
0.361885 + 0.932223i \(0.382133\pi\)
\(692\) −6.11840e6 + 7.67223e6i −0.485705 + 0.609055i
\(693\) −7.25517e6 + 8.29791e6i −0.573871 + 0.656351i
\(694\) 1.78851e6 + 2.24272e6i 0.140959 + 0.176757i
\(695\) −1.49870e7 1.39059e7i −1.17693 1.09203i
\(696\) −5.03946e6 759577.i −0.394331 0.0594359i
\(697\) −556295. + 516166.i −0.0433734 + 0.0402446i
\(698\) 9.00452e6 6.13918e6i 0.699556 0.476949i
\(699\) 2.05622e6 + 9.00890e6i 0.159176 + 0.697395i
\(700\) −7.20612e6 + 4.44933e6i −0.555848 + 0.343202i
\(701\) −4.09100e6 + 1.79238e7i −0.314438 + 1.37764i 0.532716 + 0.846294i \(0.321171\pi\)
−0.847154 + 0.531347i \(0.821686\pi\)
\(702\) −917497. 2.33774e6i −0.0702687 0.179042i
\(703\) 1.23236e6 + 1.64447e7i 0.0940479 + 1.25498i
\(704\) −744248. 1.28908e6i −0.0565960 0.0980272i
\(705\) 1.08240e7 1.87478e7i 0.820193 1.42062i
\(706\) 5.89953e6 + 2.84106e6i 0.445457 + 0.214521i
\(707\) −5.85766e6 1.12972e7i −0.440733 0.850004i
\(708\) 128186. 61730.9i 0.00961072 0.00462828i
\(709\) 754129. 1.00632e7i 0.0563417 0.751828i −0.895465 0.445131i \(-0.853157\pi\)
0.951807 0.306697i \(-0.0992239\pi\)
\(710\) 4.66488e7 1.43893e7i 3.47292 1.07125i
\(711\) 1.01792e7 3.13987e6i 0.755161 0.232936i
\(712\) −238875. + 3.18757e6i −0.0176592 + 0.235646i
\(713\) −4.17490e6 + 2.01052e6i −0.307554 + 0.148110i
\(714\) −661062. + 171577.i −0.0485284 + 0.0125954i
\(715\) 3.85245e6 + 1.85524e6i 0.281820 + 0.135717i
\(716\) −2.31655e6 + 4.01238e6i −0.168873 + 0.292496i
\(717\) −1.92065e6 3.32666e6i −0.139524 0.241663i
\(718\) 637905. + 8.51224e6i 0.0461790 + 0.616216i
\(719\) −6.82173e6 1.73815e7i −0.492122 1.25391i −0.934142 0.356901i \(-0.883833\pi\)
0.442021 0.897005i \(-0.354262\pi\)
\(720\) 3.44239e6 1.50821e7i 0.247473 1.08425i
\(721\) 8.23334e6 1.28776e7i 0.589845 0.922566i
\(722\) 6.06648e6 + 2.65790e7i 0.433106 + 1.89756i
\(723\) −991521. + 676008.i −0.0705434 + 0.0480957i
\(724\) −6.79434e6 + 6.30422e6i −0.481727 + 0.446977i
\(725\) −1.93054e7 2.90982e6i −1.36406 0.205599i
\(726\) 8.11018e6 + 7.52514e6i 0.571069 + 0.529875i
\(727\) −2.95584e6 3.70651e6i −0.207417 0.260093i 0.667231 0.744851i \(-0.267479\pi\)
−0.874649 + 0.484758i \(0.838908\pi\)
\(728\) −200918. 1.10952e6i −0.0140505 0.0775902i
\(729\) 5.55841e6 6.97003e6i 0.387375 0.485753i
\(730\) −1.77694e6 + 267830.i −0.123414 + 0.0186017i
\(731\) −1.28693e6 877413.i −0.0890761 0.0607311i
\(732\) −675838. + 1.72201e6i −0.0466192 + 0.118784i
\(733\) 6.97986e6 + 2.15300e6i 0.479829 + 0.148008i 0.525229 0.850961i \(-0.323980\pi\)
−0.0453992 + 0.998969i \(0.514456\pi\)
\(734\) −1.10508e6 −0.0757099
\(735\) −1.31092e7 1.18978e6i −0.895074 0.0812359i
\(736\) −4.19450e6 −0.285421
\(737\) 1.92727e7 + 5.94483e6i 1.30699 + 0.403154i
\(738\) −3.87203e6 + 9.86578e6i −0.261697 + 0.666792i
\(739\) −7.98770e6 5.44592e6i −0.538035 0.366826i 0.263607 0.964630i \(-0.415088\pi\)
−0.801642 + 0.597804i \(0.796040\pi\)
\(740\) −9.95070e6 + 1.49983e6i −0.667997 + 0.100684i
\(741\) 1.40238e6 1.75853e6i 0.0938254 0.117653i
\(742\) 1.08944e7 + 493368.i 0.726431 + 0.0328974i
\(743\) −1.73677e7 2.17784e7i −1.15417 1.44729i −0.873061 0.487612i \(-0.837868\pi\)
−0.281112 0.959675i \(-0.590703\pi\)
\(744\) 4.44511e6 + 4.12446e6i 0.294408 + 0.273171i
\(745\) −3.00108e7 4.52340e6i −1.98101 0.298590i
\(746\) 1.45690e7 1.35181e7i 0.958482 0.889342i
\(747\) −3.71696e6 + 2.53418e6i −0.243718 + 0.166164i
\(748\) −182316. 798780.i −0.0119144 0.0522003i
\(749\) 2.62149e6 274534.i 0.170743 0.0178810i
\(750\) −418858. + 1.83514e6i −0.0271903 + 0.119128i
\(751\) 6.54774e6 + 1.66834e7i 0.423635 + 1.07940i 0.970268 + 0.242032i \(0.0778140\pi\)
−0.546633 + 0.837372i \(0.684091\pi\)
\(752\) −2.62696e6 3.50543e7i −0.169398 2.26046i
\(753\) 6.18436e6 + 1.07116e7i 0.397473 + 0.688443i
\(754\) −1.86778e6 + 3.23509e6i −0.119646 + 0.207233i
\(755\) 1.74183e7 + 8.38823e6i 1.11209 + 0.535554i
\(756\) −7.07717e6 + 5.99428e6i −0.450355 + 0.381445i
\(757\) 8.25249e6 3.97419e6i 0.523414 0.252063i −0.153469 0.988153i \(-0.549045\pi\)
0.676883 + 0.736091i \(0.263330\pi\)
\(758\) −2.75051e6 + 3.67030e7i −0.173876 + 2.32022i
\(759\) 3.61241e6 1.11428e6i 0.227611 0.0702086i
\(760\) 1.82276e7 5.62247e6i 1.14471 0.353096i
\(761\) −254001. + 3.38940e6<