Properties

Label 49.6.g.a.2.16
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 2.16
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(5.22133 + 1.61057i) q^{2} +(8.72914 - 22.2415i) q^{3} +(-1.77125 - 1.20762i) q^{4} +(-104.732 + 15.7858i) q^{5} +(81.3992 - 102.071i) q^{6} +(122.487 - 42.4725i) q^{7} +(-116.321 - 145.862i) q^{8} +(-240.355 - 223.016i) q^{9} +O(q^{10})\) \(q+(5.22133 + 1.61057i) q^{2} +(8.72914 - 22.2415i) q^{3} +(-1.77125 - 1.20762i) q^{4} +(-104.732 + 15.7858i) q^{5} +(81.3992 - 102.071i) q^{6} +(122.487 - 42.4725i) q^{7} +(-116.321 - 145.862i) q^{8} +(-240.355 - 223.016i) q^{9} +(-572.263 - 86.2548i) q^{10} +(99.8611 - 92.6576i) q^{11} +(-42.3207 + 28.8537i) q^{12} +(62.1361 + 272.236i) q^{13} +(707.951 - 24.4891i) q^{14} +(-563.119 + 2467.19i) q^{15} +(-347.368 - 885.079i) q^{16} +(-58.6898 - 783.161i) q^{17} +(-895.788 - 1551.55i) q^{18} +(1383.15 - 2395.69i) q^{19} +(204.569 + 98.5153i) q^{20} +(124.556 - 3095.04i) q^{21} +(670.639 - 322.963i) q^{22} +(-236.457 + 3155.30i) q^{23} +(-4259.57 + 1313.90i) q^{24} +(7733.38 - 2385.43i) q^{25} +(-114.021 + 1521.51i) q^{26} +(-1827.26 + 879.960i) q^{27} +(-268.245 - 72.6881i) q^{28} +(4712.66 + 2269.50i) q^{29} +(-6913.81 + 11975.1i) q^{30} +(-2555.00 - 4425.39i) q^{31} +(57.8996 + 772.617i) q^{32} +(-1189.14 - 3029.88i) q^{33} +(954.895 - 4183.67i) q^{34} +(-12157.8 + 6381.77i) q^{35} +(156.409 + 685.274i) q^{36} +(-1889.02 + 1287.91i) q^{37} +(11080.3 - 10281.0i) q^{38} +(6597.33 + 994.388i) q^{39} +(14485.0 + 13440.2i) q^{40} +(-5796.48 - 7268.56i) q^{41} +(5635.13 - 15959.7i) q^{42} +(-8404.18 + 10538.5i) q^{43} +(-288.774 + 43.5256i) q^{44} +(28693.2 + 19562.7i) q^{45} +(-6316.45 + 16094.0i) q^{46} +(-4899.74 - 1511.37i) q^{47} -22717.7 q^{48} +(13199.2 - 10404.7i) q^{49} +44220.5 q^{50} +(-17931.0 - 5530.97i) q^{51} +(218.698 - 557.234i) q^{52} +(12116.3 + 8260.76i) q^{53} +(-10957.9 + 1651.64i) q^{54} +(-8995.96 + 11280.6i) q^{55} +(-20442.9 - 12925.8i) q^{56} +(-41209.9 - 51675.6i) q^{57} +(20951.2 + 19439.9i) q^{58} +(-7343.63 - 1106.87i) q^{59} +(3976.84 - 3689.97i) q^{60} +(9821.04 - 6695.87i) q^{61} +(-6213.12 - 27221.5i) q^{62} +(-38912.4 - 17108.2i) q^{63} +(-7712.40 + 33790.2i) q^{64} +(-10805.1 - 27530.9i) q^{65} +(-1329.07 - 17735.2i) q^{66} +(4960.72 + 8592.22i) q^{67} +(-841.803 + 1458.05i) q^{68} +(68114.5 + 32802.2i) q^{69} +(-73758.3 + 13740.3i) q^{70} +(-20571.5 + 9906.71i) q^{71} +(-4571.33 + 61000.1i) q^{72} +(-13848.6 + 4271.72i) q^{73} +(-11937.5 + 3682.22i) q^{74} +(14450.2 - 192825. i) q^{75} +(-5342.97 + 2573.04i) q^{76} +(8296.30 - 15590.7i) q^{77} +(32845.3 + 15817.5i) q^{78} +(43123.0 - 74691.3i) q^{79} +(50352.1 + 87212.4i) q^{80} +(-2332.90 - 31130.4i) q^{81} +(-18558.9 - 47287.2i) q^{82} +(492.338 - 2157.07i) q^{83} +(-3958.25 + 5331.68i) q^{84} +(18509.5 + 81095.3i) q^{85} +(-60854.0 + 41489.6i) q^{86} +(91614.5 - 85005.9i) q^{87} +(-25131.2 - 3787.91i) q^{88} +(-2301.67 - 2135.64i) q^{89} +(118310. + 148356. i) q^{90} +(19173.4 + 30706.3i) q^{91} +(4229.21 - 5303.27i) q^{92} +(-120730. + 18197.2i) q^{93} +(-23149.0 - 15782.7i) q^{94} +(-107042. + 272738. i) q^{95} +(17689.6 + 5456.51i) q^{96} +165543. q^{97} +(85674.7 - 33068.0i) q^{98} -44666.2 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.22133 + 1.61057i 0.923010 + 0.284711i 0.719605 0.694384i \(-0.244323\pi\)
0.203405 + 0.979095i \(0.434799\pi\)
\(3\) 8.72914 22.2415i 0.559975 1.42679i −0.318002 0.948090i \(-0.603012\pi\)
0.877977 0.478703i \(-0.158893\pi\)
\(4\) −1.77125 1.20762i −0.0553515 0.0377380i
\(5\) −104.732 + 15.7858i −1.87350 + 0.282384i −0.984481 0.175489i \(-0.943849\pi\)
−0.889017 + 0.457874i \(0.848611\pi\)
\(6\) 81.3992 102.071i 0.923086 1.15751i
\(7\) 122.487 42.4725i 0.944812 0.327614i
\(8\) −116.321 145.862i −0.642589 0.805781i
\(9\) −240.355 223.016i −0.989114 0.917763i
\(10\) −572.263 86.2548i −1.80966 0.272762i
\(11\) 99.8611 92.6576i 0.248837 0.230887i −0.545886 0.837860i \(-0.683807\pi\)
0.794723 + 0.606973i \(0.207616\pi\)
\(12\) −42.3207 + 28.8537i −0.0848398 + 0.0578428i
\(13\) 62.1361 + 272.236i 0.101973 + 0.446773i 0.999977 + 0.00678577i \(0.00215999\pi\)
−0.898004 + 0.439988i \(0.854983\pi\)
\(14\) 707.951 24.4891i 0.965346 0.0333928i
\(15\) −563.119 + 2467.19i −0.646208 + 2.83122i
\(16\) −347.368 885.079i −0.339226 0.864335i
\(17\) −58.6898 783.161i −0.0492538 0.657247i −0.966127 0.258068i \(-0.916914\pi\)
0.916873 0.399179i \(-0.130705\pi\)
\(18\) −895.788 1551.55i −0.651665 1.12872i
\(19\) 1383.15 2395.69i 0.878993 1.52246i 0.0265447 0.999648i \(-0.491550\pi\)
0.852448 0.522812i \(-0.175117\pi\)
\(20\) 204.569 + 98.5153i 0.114358 + 0.0550717i
\(21\) 124.556 3095.04i 0.0616335 1.53151i
\(22\) 670.639 322.963i 0.295415 0.142264i
\(23\) −236.457 + 3155.30i −0.0932036 + 1.24372i 0.732955 + 0.680277i \(0.238141\pi\)
−0.826158 + 0.563438i \(0.809478\pi\)
\(24\) −4259.57 + 1313.90i −1.50952 + 0.465624i
\(25\) 7733.38 2385.43i 2.47468 0.763339i
\(26\) −114.021 + 1521.51i −0.0330790 + 0.441409i
\(27\) −1827.26 + 879.960i −0.482381 + 0.232302i
\(28\) −268.245 72.6881i −0.0646602 0.0175214i
\(29\) 4712.66 + 2269.50i 1.04057 + 0.501112i 0.874512 0.485004i \(-0.161182\pi\)
0.166058 + 0.986116i \(0.446896\pi\)
\(30\) −6913.81 + 11975.1i −1.40254 + 2.42926i
\(31\) −2555.00 4425.39i −0.477515 0.827081i 0.522153 0.852852i \(-0.325129\pi\)
−0.999668 + 0.0257715i \(0.991796\pi\)
\(32\) 57.8996 + 772.617i 0.00999541 + 0.133380i
\(33\) −1189.14 3029.88i −0.190085 0.484329i
\(34\) 954.895 4183.67i 0.141664 0.620669i
\(35\) −12157.8 + 6381.77i −1.67759 + 0.880584i
\(36\) 156.409 + 685.274i 0.0201144 + 0.0881268i
\(37\) −1889.02 + 1287.91i −0.226846 + 0.154661i −0.671410 0.741086i \(-0.734311\pi\)
0.444564 + 0.895747i \(0.353359\pi\)
\(38\) 11080.3 10281.0i 1.24478 1.15499i
\(39\) 6597.33 + 994.388i 0.694555 + 0.104687i
\(40\) 14485.0 + 13440.2i 1.43143 + 1.32817i
\(41\) −5796.48 7268.56i −0.538524 0.675287i 0.435903 0.899994i \(-0.356429\pi\)
−0.974427 + 0.224706i \(0.927858\pi\)
\(42\) 5635.13 15959.7i 0.492925 1.39605i
\(43\) −8404.18 + 10538.5i −0.693145 + 0.869177i −0.996491 0.0837038i \(-0.973325\pi\)
0.303345 + 0.952881i \(0.401896\pi\)
\(44\) −288.774 + 43.5256i −0.0224867 + 0.00338932i
\(45\) 28693.2 + 19562.7i 2.11227 + 1.44012i
\(46\) −6316.45 + 16094.0i −0.440127 + 1.12143i
\(47\) −4899.74 1511.37i −0.323540 0.0997990i 0.128731 0.991680i \(-0.458910\pi\)
−0.452271 + 0.891881i \(0.649386\pi\)
\(48\) −22717.7 −1.42318
\(49\) 13199.2 10404.7i 0.785338 0.619067i
\(50\) 44220.5 2.50149
\(51\) −17931.0 5530.97i −0.965336 0.297767i
\(52\) 218.698 557.234i 0.0112160 0.0285778i
\(53\) 12116.3 + 8260.76i 0.592490 + 0.403953i 0.822111 0.569327i \(-0.192796\pi\)
−0.229621 + 0.973280i \(0.573749\pi\)
\(54\) −10957.9 + 1651.64i −0.511381 + 0.0770783i
\(55\) −8995.96 + 11280.6i −0.400997 + 0.502834i
\(56\) −20442.9 12925.8i −0.871111 0.550790i
\(57\) −41209.9 51675.6i −1.68002 2.10668i
\(58\) 20951.2 + 19439.9i 0.817784 + 0.758793i
\(59\) −7343.63 1106.87i −0.274651 0.0413969i 0.0102726 0.999947i \(-0.496730\pi\)
−0.284923 + 0.958550i \(0.591968\pi\)
\(60\) 3976.84 3689.97i 0.142613 0.132326i
\(61\) 9821.04 6695.87i 0.337935 0.230400i −0.382447 0.923977i \(-0.624919\pi\)
0.720382 + 0.693577i \(0.243966\pi\)
\(62\) −6213.12 27221.5i −0.205272 0.899357i
\(63\) −38912.4 17108.2i −1.23520 0.543066i
\(64\) −7712.40 + 33790.2i −0.235364 + 1.03120i
\(65\) −10805.1 27530.9i −0.317208 0.808233i
\(66\) −1329.07 17735.2i −0.0375568 0.501160i
\(67\) 4960.72 + 8592.22i 0.135007 + 0.233840i 0.925600 0.378502i \(-0.123561\pi\)
−0.790593 + 0.612342i \(0.790228\pi\)
\(68\) −841.803 + 1458.05i −0.0220769 + 0.0382383i
\(69\) 68114.5 + 32802.2i 1.72233 + 0.829432i
\(70\) −73758.3 + 13740.3i −1.79914 + 0.335160i
\(71\) −20571.5 + 9906.71i −0.484306 + 0.233230i −0.660072 0.751202i \(-0.729474\pi\)
0.175766 + 0.984432i \(0.443760\pi\)
\(72\) −4571.33 + 61000.1i −0.103923 + 1.38675i
\(73\) −13848.6 + 4271.72i −0.304157 + 0.0938200i −0.443077 0.896484i \(-0.646113\pi\)
0.138920 + 0.990304i \(0.455637\pi\)
\(74\) −11937.5 + 3682.22i −0.253415 + 0.0781683i
\(75\) 14450.2 192825.i 0.296634 3.95831i
\(76\) −5342.97 + 2573.04i −0.106108 + 0.0510990i
\(77\) 8296.30 15590.7i 0.159462 0.299667i
\(78\) 32845.3 + 15817.5i 0.611276 + 0.294375i
\(79\) 43123.0 74691.3i 0.777395 1.34649i −0.156044 0.987750i \(-0.549874\pi\)
0.933439 0.358737i \(-0.116792\pi\)
\(80\) 50352.1 + 87212.4i 0.879615 + 1.52354i
\(81\) −2332.90 31130.4i −0.0395078 0.527196i
\(82\) −18558.9 47287.2i −0.304801 0.776621i
\(83\) 492.338 2157.07i 0.00784455 0.0343692i −0.970854 0.239671i \(-0.922960\pi\)
0.978699 + 0.205302i \(0.0658176\pi\)
\(84\) −3958.25 + 5331.68i −0.0612075 + 0.0824452i
\(85\) 18509.5 + 81095.3i 0.277873 + 1.21744i
\(86\) −60854.0 + 41489.6i −0.887244 + 0.604913i
\(87\) 91614.5 85005.9i 1.29768 1.20407i
\(88\) −25131.2 3787.91i −0.345944 0.0521427i
\(89\) −2301.67 2135.64i −0.0308013 0.0285794i 0.664622 0.747180i \(-0.268593\pi\)
−0.695423 + 0.718600i \(0.744783\pi\)
\(90\) 118310. + 148356.i 1.53962 + 1.93063i
\(91\) 19173.4 + 30706.3i 0.242715 + 0.388709i
\(92\) 4229.21 5303.27i 0.0520943 0.0653242i
\(93\) −120730. + 18197.2i −1.44747 + 0.218171i
\(94\) −23149.0 15782.7i −0.270217 0.184231i
\(95\) −107042. + 272738.i −1.21687 + 3.10054i
\(96\) 17689.6 + 5456.51i 0.195902 + 0.0604278i
\(97\) 165543. 1.78642 0.893208 0.449643i \(-0.148449\pi\)
0.893208 + 0.449643i \(0.148449\pi\)
\(98\) 85674.7 33068.0i 0.901130 0.347811i
\(99\) −44666.2 −0.458027
\(100\) −16578.4 5113.77i −0.165784 0.0511377i
\(101\) −8803.29 + 22430.4i −0.0858701 + 0.218793i −0.967358 0.253413i \(-0.918447\pi\)
0.881488 + 0.472206i \(0.156542\pi\)
\(102\) −84715.6 57758.1i −0.806237 0.549683i
\(103\) −817.673 + 123.244i −0.00759428 + 0.00114465i −0.152838 0.988251i \(-0.548841\pi\)
0.145244 + 0.989396i \(0.453603\pi\)
\(104\) 32481.1 40730.1i 0.294475 0.369260i
\(105\) 35812.7 + 326116.i 0.317003 + 2.88668i
\(106\) 49958.8 + 62646.4i 0.431864 + 0.541541i
\(107\) 65403.2 + 60685.3i 0.552255 + 0.512417i 0.906200 0.422849i \(-0.138970\pi\)
−0.353946 + 0.935266i \(0.615160\pi\)
\(108\) 4299.18 + 647.997i 0.0354671 + 0.00534581i
\(109\) 15534.2 14413.6i 0.125234 0.116200i −0.615070 0.788473i \(-0.710872\pi\)
0.740304 + 0.672272i \(0.234682\pi\)
\(110\) −65139.0 + 44411.0i −0.513286 + 0.349953i
\(111\) 12155.6 + 53257.0i 0.0936413 + 0.410269i
\(112\) −80139.6 93657.2i −0.603673 0.705498i
\(113\) 47242.8 206984.i 0.348048 1.52490i −0.433558 0.901126i \(-0.642742\pi\)
0.781606 0.623772i \(-0.214401\pi\)
\(114\) −131944. 336187.i −0.950881 2.42281i
\(115\) −25044.3 334193.i −0.176589 2.35642i
\(116\) −5606.61 9710.93i −0.0386861 0.0670063i
\(117\) 45778.4 79290.6i 0.309169 0.535497i
\(118\) −36560.8 17606.8i −0.241719 0.116406i
\(119\) −40451.5 93434.4i −0.261859 0.604838i
\(120\) 425371. 204848.i 2.69659 1.29861i
\(121\) −10648.5 + 142095.i −0.0661191 + 0.882298i
\(122\) 62063.1 19143.9i 0.377515 0.116448i
\(123\) −212262. + 65474.1i −1.26505 + 0.390218i
\(124\) −818.636 + 10923.9i −0.00478119 + 0.0638006i
\(125\) −474069. + 228300.i −2.71373 + 1.30686i
\(126\) −175621. 151999.i −0.985484 0.852930i
\(127\) 28389.8 + 13671.8i 0.156190 + 0.0752170i 0.510346 0.859969i \(-0.329517\pi\)
−0.354156 + 0.935186i \(0.615232\pi\)
\(128\) −82294.0 + 142537.i −0.443959 + 0.768960i
\(129\) 161031. + 278914.i 0.851991 + 1.47569i
\(130\) −12076.5 161150.i −0.0626735 0.836320i
\(131\) 55450.1 + 141284.i 0.282308 + 0.719310i 0.999743 + 0.0226838i \(0.00722110\pi\)
−0.717434 + 0.696626i \(0.754684\pi\)
\(132\) −1552.67 + 6802.70i −0.00775612 + 0.0339818i
\(133\) 67667.3 352186.i 0.331703 1.72641i
\(134\) 12063.2 + 52852.4i 0.0580365 + 0.254274i
\(135\) 177481. 121004.i 0.838141 0.571435i
\(136\) −107406. + 99658.6i −0.497947 + 0.462027i
\(137\) 47539.4 + 7165.41i 0.216398 + 0.0326167i 0.256346 0.966585i \(-0.417481\pi\)
−0.0399486 + 0.999202i \(0.512719\pi\)
\(138\) 302818. + 280974.i 1.35358 + 1.25594i
\(139\) 82748.6 + 103763.i 0.363265 + 0.455520i 0.929554 0.368687i \(-0.120193\pi\)
−0.566288 + 0.824207i \(0.691621\pi\)
\(140\) 29241.3 + 3378.29i 0.126089 + 0.0145672i
\(141\) −76385.7 + 95784.6i −0.323567 + 0.405740i
\(142\) −123366. + 18594.4i −0.513422 + 0.0773860i
\(143\) 31429.7 + 21428.4i 0.128529 + 0.0876294i
\(144\) −113896. + 290202.i −0.457721 + 1.16625i
\(145\) −529391. 163296.i −2.09101 0.644992i
\(146\) −79187.9 −0.307451
\(147\) −116198. 384393.i −0.443511 1.46718i
\(148\) 4901.22 0.0183929
\(149\) −58021.6 17897.3i −0.214104 0.0660422i 0.185848 0.982579i \(-0.440497\pi\)
−0.399952 + 0.916536i \(0.630973\pi\)
\(150\) 386007. 983530.i 1.40077 3.56910i
\(151\) 376184. + 256478.i 1.34264 + 0.915393i 0.999713 0.0239701i \(-0.00763064\pi\)
0.342923 + 0.939364i \(0.388583\pi\)
\(152\) −510329. + 76919.7i −1.79160 + 0.270040i
\(153\) −160551. + 201325.i −0.554479 + 0.695295i
\(154\) 68427.6 68042.5i 0.232504 0.231195i
\(155\) 337448. + 423147.i 1.12818 + 1.41469i
\(156\) −10484.7 9728.35i −0.0344940 0.0320057i
\(157\) −425002. 64058.8i −1.37607 0.207410i −0.580991 0.813910i \(-0.697335\pi\)
−0.795083 + 0.606500i \(0.792573\pi\)
\(158\) 345455. 320535.i 1.10090 1.02149i
\(159\) 289497. 197376.i 0.908136 0.619157i
\(160\) −18260.3 80003.5i −0.0563907 0.247064i
\(161\) 105050. + 396526.i 0.319399 + 1.20561i
\(162\) 37956.7 166299.i 0.113632 0.497855i
\(163\) −89722.9 228610.i −0.264505 0.673948i 0.735488 0.677537i \(-0.236953\pi\)
−0.999994 + 0.00358910i \(0.998858\pi\)
\(164\) 1489.38 + 19874.3i 0.00432409 + 0.0577010i
\(165\) 172370. + 298553.i 0.492892 + 0.853713i
\(166\) 6044.78 10469.9i 0.0170259 0.0294897i
\(167\) 318739. + 153497.i 0.884391 + 0.425900i 0.820226 0.572039i \(-0.193848\pi\)
0.0641644 + 0.997939i \(0.479562\pi\)
\(168\) −465938. + 341851.i −1.27366 + 0.934466i
\(169\) 264272. 127267.i 0.711761 0.342766i
\(170\) −33965.4 + 453236.i −0.0901393 + 1.20283i
\(171\) −866724. + 267349.i −2.26668 + 0.699179i
\(172\) 27612.4 8517.29i 0.0711676 0.0219523i
\(173\) −14346.9 + 191447.i −0.0364455 + 0.486332i 0.948879 + 0.315640i \(0.102219\pi\)
−0.985325 + 0.170692i \(0.945400\pi\)
\(174\) 615258. 296293.i 1.54058 0.741904i
\(175\) 845925. 620641.i 2.08803 1.53195i
\(176\) −116698. 56198.7i −0.283976 0.136755i
\(177\) −88722.1 + 153671.i −0.212862 + 0.368688i
\(178\) −8578.21 14857.9i −0.0202930 0.0351486i
\(179\) 16653.7 + 222229.i 0.0388489 + 0.518403i 0.982352 + 0.187040i \(0.0598894\pi\)
−0.943503 + 0.331363i \(0.892492\pi\)
\(180\) −27198.6 69300.9i −0.0625698 0.159425i
\(181\) 12176.4 53348.3i 0.0276263 0.121039i −0.959235 0.282611i \(-0.908799\pi\)
0.986861 + 0.161573i \(0.0516566\pi\)
\(182\) 50656.1 + 191208.i 0.113358 + 0.427886i
\(183\) −63197.0 276884.i −0.139498 0.611181i
\(184\) 487743. 332538.i 1.06205 0.724096i
\(185\) 177510. 164705.i 0.381323 0.353816i
\(186\) −659681. 99431.0i −1.39814 0.210736i
\(187\) −78426.6 72769.2i −0.164006 0.152175i
\(188\) 6853.50 + 8594.02i 0.0141422 + 0.0177338i
\(189\) −186441. + 185392.i −0.379653 + 0.377517i
\(190\) −998166. + 1.25166e6i −2.00594 + 2.51537i
\(191\) −732849. + 110459.i −1.45355 + 0.219088i −0.827840 0.560964i \(-0.810430\pi\)
−0.625714 + 0.780052i \(0.715192\pi\)
\(192\) 684223. + 466495.i 1.33951 + 0.913260i
\(193\) 221428. 564189.i 0.427897 1.09026i −0.540609 0.841274i \(-0.681806\pi\)
0.968506 0.248990i \(-0.0800987\pi\)
\(194\) 864358. + 266619.i 1.64888 + 0.508612i
\(195\) −706647. −1.33081
\(196\) −35943.9 + 2489.69i −0.0668320 + 0.00462919i
\(197\) 378673. 0.695182 0.347591 0.937646i \(-0.387000\pi\)
0.347591 + 0.937646i \(0.387000\pi\)
\(198\) −233217. 71938.0i −0.422764 0.130405i
\(199\) −255136. + 650075.i −0.456708 + 1.16367i 0.498277 + 0.867018i \(0.333966\pi\)
−0.954985 + 0.296655i \(0.904129\pi\)
\(200\) −1.24750e6 850530.i −2.20529 1.50354i
\(201\) 234407. 35331.1i 0.409242 0.0616832i
\(202\) −82090.7 + 102938.i −0.141552 + 0.177500i
\(203\) 673631. + 77825.9i 1.14731 + 0.132551i
\(204\) 25080.9 + 31450.5i 0.0421957 + 0.0529117i
\(205\) 721815. + 669747.i 1.19961 + 1.11308i
\(206\) −4467.84 673.418i −0.00733550 0.00110565i
\(207\) 760517. 705657.i 1.23363 1.14464i
\(208\) 219366. 149561.i 0.351570 0.239696i
\(209\) −83855.5 367395.i −0.132790 0.581792i
\(210\) −338242. + 1.76044e6i −0.529272 + 2.75469i
\(211\) 45037.8 197324.i 0.0696420 0.305121i −0.928096 0.372340i \(-0.878555\pi\)
0.997738 + 0.0672189i \(0.0214126\pi\)
\(212\) −11485.2 29263.7i −0.0175508 0.0447188i
\(213\) 40768.5 + 544018.i 0.0615709 + 0.821607i
\(214\) 243754. + 422194.i 0.363846 + 0.630199i
\(215\) 713826. 1.23638e6i 1.05316 1.82414i
\(216\) 340901. + 164169.i 0.497157 + 0.239418i
\(217\) −500912. 433536.i −0.722125 0.624995i
\(218\) 104323. 50239.5i 0.148676 0.0715985i
\(219\) −25876.8 + 345301.i −0.0364586 + 0.486506i
\(220\) 29556.7 9117.03i 0.0411717 0.0126998i
\(221\) 209558. 64640.0i 0.288618 0.0890268i
\(222\) −22305.8 + 297650.i −0.0303763 + 0.405343i
\(223\) 574404. 276619.i 0.773492 0.372494i −0.00513066 0.999987i \(-0.501633\pi\)
0.778622 + 0.627493i \(0.215919\pi\)
\(224\) 39906.9 + 92176.4i 0.0531408 + 0.122744i
\(225\) −2.39075e6 1.15132e6i −3.14831 1.51614i
\(226\) 580032. 1.00465e6i 0.755407 1.30840i
\(227\) 315061. + 545702.i 0.405817 + 0.702896i 0.994416 0.105529i \(-0.0336537\pi\)
−0.588599 + 0.808425i \(0.700320\pi\)
\(228\) 10588.7 + 141296.i 0.0134898 + 0.180008i
\(229\) 176404. + 449470.i 0.222290 + 0.566386i 0.997896 0.0648314i \(-0.0206510\pi\)
−0.775606 + 0.631217i \(0.782556\pi\)
\(230\) 407476. 1.78527e6i 0.507904 2.22527i
\(231\) −274341. 320616.i −0.338268 0.395325i
\(232\) −217148. 951388.i −0.264872 1.16048i
\(233\) −774651. + 528148.i −0.934795 + 0.637333i −0.931920 0.362663i \(-0.881868\pi\)
−0.00287502 + 0.999996i \(0.500915\pi\)
\(234\) 366727. 340273.i 0.437828 0.406245i
\(235\) 537017. + 80942.2i 0.634334 + 0.0956105i
\(236\) 11670.7 + 10828.8i 0.0136401 + 0.0126562i
\(237\) −1.28482e6 1.61111e6i −1.48584 1.86318i
\(238\) −60728.4 553002.i −0.0694943 0.632826i
\(239\) −149318. + 187239.i −0.169090 + 0.212032i −0.859155 0.511715i \(-0.829010\pi\)
0.690065 + 0.723747i \(0.257582\pi\)
\(240\) 2.37926e6 358616.i 2.66633 0.401885i
\(241\) −458977. 312925.i −0.509035 0.347054i 0.281409 0.959588i \(-0.409198\pi\)
−0.790445 + 0.612533i \(0.790150\pi\)
\(242\) −284453. + 724775.i −0.312228 + 0.795545i
\(243\) −1.18368e6 365118.i −1.28594 0.396659i
\(244\) −25481.6 −0.0274000
\(245\) −1.21813e6 + 1.29806e6i −1.29651 + 1.38159i
\(246\) −1.21374e6 −1.27876
\(247\) 738135. + 227685.i 0.769828 + 0.237460i
\(248\) −348296. + 887444.i −0.359600 + 0.916245i
\(249\) −43678.9 29779.8i −0.0446450 0.0304385i
\(250\) −2.84297e6 + 428508.i −2.87688 + 0.433620i
\(251\) 162466. 203726.i 0.162771 0.204109i −0.693756 0.720210i \(-0.744046\pi\)
0.856528 + 0.516101i \(0.172617\pi\)
\(252\) 48263.4 + 77294.1i 0.0478758 + 0.0766734i
\(253\) 268750. + 337001.i 0.263965 + 0.331002i
\(254\) 126213. + 117109.i 0.122750 + 0.113895i
\(255\) 1.96525e6 + 296214.i 1.89264 + 0.285270i
\(256\) 153774. 142681.i 0.146650 0.136071i
\(257\) 26618.0 18147.9i 0.0251387 0.0171393i −0.550686 0.834713i \(-0.685634\pi\)
0.575824 + 0.817574i \(0.304681\pi\)
\(258\) 391587. + 1.71565e6i 0.366251 + 1.60465i
\(259\) −176680. + 237984.i −0.163658 + 0.220444i
\(260\) −14108.3 + 61812.4i −0.0129432 + 0.0567077i
\(261\) −626574. 1.59649e6i −0.569340 1.45065i
\(262\) 61975.0 + 826999.i 0.0557781 + 0.744307i
\(263\) 203937. + 353230.i 0.181805 + 0.314896i 0.942495 0.334219i \(-0.108473\pi\)
−0.760690 + 0.649115i \(0.775139\pi\)
\(264\) −303622. + 525889.i −0.268117 + 0.464392i
\(265\) −1.39937e6 673899.i −1.22410 0.589495i
\(266\) 920534. 1.72990e6i 0.797693 1.49905i
\(267\) −67591.5 + 32550.4i −0.0580249 + 0.0279433i
\(268\) 1589.44 21209.6i 0.00135178 0.0180383i
\(269\) −191849. + 59177.5i −0.161651 + 0.0498628i −0.374524 0.927217i \(-0.622194\pi\)
0.212873 + 0.977080i \(0.431718\pi\)
\(270\) 1.12157e6 345959.i 0.936306 0.288812i
\(271\) 139193. 1.85740e6i 0.115131 1.53632i −0.578315 0.815813i \(-0.696290\pi\)
0.693446 0.720508i \(-0.256091\pi\)
\(272\) −672772. + 323990.i −0.551373 + 0.265527i
\(273\) 850322. 158405.i 0.690521 0.128636i
\(274\) 236679. + 113978.i 0.190451 + 0.0917162i
\(275\) 551236. 954769.i 0.439547 0.761318i
\(276\) −81035.2 140357.i −0.0640326 0.110908i
\(277\) 101374. + 1.35274e6i 0.0793828 + 1.05929i 0.884612 + 0.466327i \(0.154423\pi\)
−0.805230 + 0.592963i \(0.797958\pi\)
\(278\) 264940. + 675056.i 0.205606 + 0.523875i
\(279\) −372829. + 1.63347e6i −0.286747 + 1.25632i
\(280\) 2.34507e6 + 1.03103e6i 1.78756 + 0.785916i
\(281\) −91358.2 400266.i −0.0690211 0.302401i 0.928621 0.371029i \(-0.120995\pi\)
−0.997642 + 0.0686280i \(0.978138\pi\)
\(282\) −553103. + 377099.i −0.414174 + 0.282379i
\(283\) −1.93008e6 + 1.79085e6i −1.43255 + 1.32921i −0.571583 + 0.820545i \(0.693670\pi\)
−0.860965 + 0.508665i \(0.830139\pi\)
\(284\) 48400.7 + 7295.23i 0.0356087 + 0.00536715i
\(285\) 5.13173e6 + 4.76155e6i 3.74241 + 3.47245i
\(286\) 129593. + 162505.i 0.0936843 + 0.117476i
\(287\) −1.01871e6 644114.i −0.730037 0.461591i
\(288\) 158390. 198615.i 0.112524 0.141101i
\(289\) 794102. 119692.i 0.559283 0.0842984i
\(290\) −2.50113e6 1.70524e6i −1.74639 1.19067i
\(291\) 1.44505e6 3.68194e6i 1.00035 2.54885i
\(292\) 29687.8 + 9157.49i 0.0203761 + 0.00628520i
\(293\) 2.26937e6 1.54432 0.772158 0.635430i \(-0.219177\pi\)
0.772158 + 0.635430i \(0.219177\pi\)
\(294\) 12384.7 2.19419e6i 0.00835633 1.48049i
\(295\) 786584. 0.526248
\(296\) 407590. + 125725.i 0.270392 + 0.0834049i
\(297\) −100937. + 257183.i −0.0663985 + 0.169181i
\(298\) −274125. 186896.i −0.178817 0.121915i
\(299\) −873679. + 131686.i −0.565163 + 0.0851846i
\(300\) −258453. + 324090.i −0.165798 + 0.207904i
\(301\) −581807. + 1.64778e6i −0.370137 + 1.04829i
\(302\) 1.55111e6 + 1.94503e6i 0.978644 + 1.22718i
\(303\) 422041. + 391597.i 0.264088 + 0.245038i
\(304\) −2.60083e6 392012.i −1.61409 0.243285i
\(305\) −922876. + 856303.i −0.568059 + 0.527082i
\(306\) −1.16254e6 + 792606.i −0.709748 + 0.483898i
\(307\) −291458. 1.27696e6i −0.176494 0.773270i −0.983232 0.182360i \(-0.941626\pi\)
0.806738 0.590909i \(-0.201231\pi\)
\(308\) −33522.4 + 17596.3i −0.0201353 + 0.0105692i
\(309\) −4396.45 + 19262.1i −0.00261942 + 0.0114764i
\(310\) 1.08042e6 + 2.75287e6i 0.638542 + 1.62698i
\(311\) −190404. 2.54076e6i −0.111628 1.48958i −0.718916 0.695097i \(-0.755362\pi\)
0.607288 0.794482i \(-0.292257\pi\)
\(312\) −622365. 1.07797e6i −0.361958 0.626930i
\(313\) −1.60471e6 + 2.77943e6i −0.925837 + 1.60360i −0.135627 + 0.990760i \(0.543305\pi\)
−0.790210 + 0.612836i \(0.790029\pi\)
\(314\) −2.11591e6 1.01897e6i −1.21108 0.583225i
\(315\) 4.34543e6 + 1.17751e6i 2.46750 + 0.668633i
\(316\) −166580. + 80220.7i −0.0938437 + 0.0451927i
\(317\) 1989.64 26549.9i 0.00111206 0.0148393i −0.996620 0.0821477i \(-0.973822\pi\)
0.997732 + 0.0673084i \(0.0214411\pi\)
\(318\) 1.82945e6 564309.i 1.01450 0.312932i
\(319\) 680898. 210029.i 0.374632 0.115559i
\(320\) 274328. 3.66066e6i 0.149760 1.99841i
\(321\) 1.92065e6 924934.i 1.04036 0.501012i
\(322\) −90129.4 + 2.23959e6i −0.0484425 + 1.20373i
\(323\) −1.95738e6 942626.i −1.04393 0.502728i
\(324\) −33461.4 + 57956.8i −0.0177085 + 0.0306720i
\(325\) 1.12992e6 + 1.95708e6i 0.593390 + 1.02778i
\(326\) −100281. 1.33815e6i −0.0522605 0.697369i
\(327\) −184980. 471323.i −0.0956657 0.243752i
\(328\) −385953. + 1.69097e6i −0.198084 + 0.867864i
\(329\) −664347. + 22980.8i −0.338380 + 0.0117051i
\(330\) 419160. + 1.83646e6i 0.211882 + 0.928318i
\(331\) −3.25661e6 + 2.22032e6i −1.63379 + 1.11390i −0.732407 + 0.680868i \(0.761603\pi\)
−0.901380 + 0.433029i \(0.857445\pi\)
\(332\) −3476.97 + 3226.16i −0.00173123 + 0.00160635i
\(333\) 741260. + 111727.i 0.366319 + 0.0552138i
\(334\) 1.41703e6 + 1.31481e6i 0.695043 + 0.644906i
\(335\) −655180. 821569.i −0.318969 0.399974i
\(336\) −2.78263e6 + 964877.i −1.34464 + 0.466255i
\(337\) 513581. 644010.i 0.246340 0.308900i −0.643254 0.765653i \(-0.722416\pi\)
0.889594 + 0.456753i \(0.150988\pi\)
\(338\) 1.58482e6 238874.i 0.754552 0.113730i
\(339\) −4.19125e6 2.85754e6i −1.98082 1.35050i
\(340\) 65147.2 165992.i 0.0305632 0.0778736i
\(341\) −665192. 205184.i −0.309785 0.0955561i
\(342\) −4.95604e6 −2.29123
\(343\) 1.17482e6 1.83504e6i 0.539182 0.842190i
\(344\) 2.51475e6 1.14577
\(345\) −7.65156e6 2.36019e6i −3.46101 1.06758i
\(346\) −383248. + 976500.i −0.172104 + 0.438513i
\(347\) −2.98656e6 2.03620e6i −1.33152 0.907816i −0.332148 0.943227i \(-0.607773\pi\)
−0.999373 + 0.0354116i \(0.988726\pi\)
\(348\) −264927. + 39931.2i −0.117267 + 0.0176752i
\(349\) 1.63788e6 2.05384e6i 0.719813 0.902616i −0.278515 0.960432i \(-0.589842\pi\)
0.998327 + 0.0578156i \(0.0184136\pi\)
\(350\) 5.41644e6 1.87815e6i 2.36344 0.819523i
\(351\) −353095. 442768.i −0.152976 0.191826i
\(352\) 77370.7 + 71789.5i 0.0332828 + 0.0308819i
\(353\) 4.57000e6 + 688816.i 1.95200 + 0.294216i 0.999932 0.0116784i \(-0.00371743\pi\)
0.952065 + 0.305895i \(0.0989555\pi\)
\(354\) −710746. + 659476.i −0.301444 + 0.279699i
\(355\) 1.99810e6 1.36228e6i 0.841486 0.573716i
\(356\) 1497.80 + 6562.29i 0.000626367 + 0.00274429i
\(357\) −2.43123e6 + 84100.0i −1.00961 + 0.0349241i
\(358\) −270960. + 1.18715e6i −0.111737 + 0.489552i
\(359\) −736610. 1.87685e6i −0.301649 0.768588i −0.998671 0.0515389i \(-0.983587\pi\)
0.697022 0.717049i \(-0.254508\pi\)
\(360\) −484171. 6.46081e6i −0.196898 2.62743i
\(361\) −2.58816e6 4.48282e6i −1.04526 1.81044i
\(362\) 149498. 258938.i 0.0599603 0.103854i
\(363\) 3.06745e6 + 1.47721e6i 1.22183 + 0.588403i
\(364\) 3120.60 77542.6i 0.00123448 0.0306752i
\(365\) 1.38295e6 665995.i 0.543344 0.261661i
\(366\) 115968. 1.54749e6i 0.0452518 0.603843i
\(367\) 1.56144e6 481642.i 0.605148 0.186663i 0.0229852 0.999736i \(-0.492683\pi\)
0.582163 + 0.813072i \(0.302207\pi\)
\(368\) 2.87483e6 886766.i 1.10660 0.341342i
\(369\) −227797. + 3.03974e6i −0.0870928 + 1.16217i
\(370\) 1.19211e6 574088.i 0.452700 0.218009i
\(371\) 1.83495e6 + 497227.i 0.692132 + 0.187551i
\(372\) 235819. + 113564.i 0.0883529 + 0.0425485i
\(373\) 852272. 1.47618e6i 0.317180 0.549372i −0.662718 0.748869i \(-0.730597\pi\)
0.979899 + 0.199496i \(0.0639306\pi\)
\(374\) −292292. 506264.i −0.108053 0.187153i
\(375\) 939508. + 1.25369e7i 0.345003 + 4.60374i
\(376\) 349491. + 890490.i 0.127487 + 0.324832i
\(377\) −325013. + 1.42397e6i −0.117773 + 0.515999i
\(378\) −1.27206e6 + 667716.i −0.457907 + 0.240360i
\(379\) 69632.4 + 305079.i 0.0249008 + 0.109097i 0.985851 0.167624i \(-0.0536093\pi\)
−0.960950 + 0.276721i \(0.910752\pi\)
\(380\) 518961. 353822.i 0.184364 0.125697i
\(381\) 551899. 512088.i 0.194781 0.180731i
\(382\) −4.00435e6 603559.i −1.40402 0.211622i
\(383\) −2.21257e6 2.05296e6i −0.770726 0.715129i 0.193241 0.981151i \(-0.438100\pi\)
−0.963967 + 0.266022i \(0.914291\pi\)
\(384\) 2.45189e6 + 3.07457e6i 0.848541 + 1.06404i
\(385\) −622775. + 1.76381e6i −0.214131 + 0.606455i
\(386\) 2.06482e6 2.58920e6i 0.705363 0.884498i
\(387\) 4.37025e6 658709.i 1.48330 0.223571i
\(388\) −293219. 199913.i −0.0988808 0.0674158i
\(389\) −1.47365e6 + 3.75481e6i −0.493766 + 1.25810i 0.439284 + 0.898348i \(0.355232\pi\)
−0.933050 + 0.359747i \(0.882863\pi\)
\(390\) −3.68964e6 1.13810e6i −1.22835 0.378896i
\(391\) 2.48498e6 0.822019
\(392\) −3.05299e6 714977.i −1.00348 0.235005i
\(393\) 3.62641e6 1.18439
\(394\) 1.97718e6 + 609879.i 0.641660 + 0.197926i
\(395\) −3.33729e6 + 8.50328e6i −1.07622 + 2.74217i
\(396\) 79115.0 + 53939.7i 0.0253525 + 0.0172850i
\(397\) −1.29338e6 + 194946.i −0.411860 + 0.0620779i −0.351704 0.936111i \(-0.614398\pi\)
−0.0601556 + 0.998189i \(0.519160\pi\)
\(398\) −2.37914e6 + 2.98335e6i −0.752857 + 0.944052i
\(399\) −7.24247e6 4.57931e6i −2.27748 1.44002i
\(400\) −4.79763e6 6.01603e6i −1.49926 1.88001i
\(401\) 129965. + 120590.i 0.0403613 + 0.0374498i 0.700096 0.714049i \(-0.253141\pi\)
−0.659734 + 0.751499i \(0.729331\pi\)
\(402\) 1.28082e6 + 193052.i 0.395296 + 0.0595813i
\(403\) 1.04599e6 970541.i 0.320824 0.297681i
\(404\) 42680.2 29098.8i 0.0130099 0.00886997i
\(405\) 735745. + 3.22351e6i 0.222890 + 0.976544i
\(406\) 3.39191e6 + 1.49128e6i 1.02124 + 0.448999i
\(407\) −69304.8 + 303644.i −0.0207385 + 0.0908613i
\(408\) 1.27899e6 + 3.25882e6i 0.380379 + 0.969191i
\(409\) 115161. + 1.53671e6i 0.0340405 + 0.454239i 0.988016 + 0.154353i \(0.0493294\pi\)
−0.953975 + 0.299886i \(0.903052\pi\)
\(410\) 2.69017e6 + 4.65950e6i 0.790350 + 1.36893i
\(411\) 574348. 994799.i 0.167714 0.290490i
\(412\) 1597.13 + 769.139i 0.000463552 + 0.000223235i
\(413\) −946512. + 176324.i −0.273055 + 0.0508671i
\(414\) 5.10742e6 2.45961e6i 1.46454 0.705285i
\(415\) −17512.4 + 233686.i −0.00499142 + 0.0666059i
\(416\) −206736. + 63769.7i −0.0585711 + 0.0180668i
\(417\) 3.03018e6 934687.i 0.853352 0.263224i
\(418\) 153877. 2.05335e6i 0.0430758 0.574807i
\(419\) −141213. + 68004.4i −0.0392951 + 0.0189235i −0.453428 0.891293i \(-0.649799\pi\)
0.414133 + 0.910216i \(0.364085\pi\)
\(420\) 330389. 620880.i 0.0913909 0.171745i
\(421\) −2.42164e6 1.16620e6i −0.665893 0.320677i 0.0702244 0.997531i \(-0.477628\pi\)
−0.736117 + 0.676854i \(0.763343\pi\)
\(422\) 552960. 957755.i 0.151152 0.261802i
\(423\) 840615. + 1.45599e6i 0.228426 + 0.395646i
\(424\) −204451. 2.72821e6i −0.0552300 0.736993i
\(425\) −2.32205e6 5.91648e6i −0.623590 1.58888i
\(426\) −663312. + 2.90616e6i −0.177090 + 0.775882i
\(427\) 918561. 1.23728e6i 0.243803 0.328397i
\(428\) −42560.7 186471.i −0.0112305 0.0492041i
\(429\) 750954. 511992.i 0.197002 0.134314i
\(430\) 5.71840e6 5.30590e6i 1.49143 1.38385i
\(431\) −3.59702e6 542163.i −0.932716 0.140584i −0.334932 0.942242i \(-0.608713\pi\)
−0.597783 + 0.801658i \(0.703952\pi\)
\(432\) 1.41356e6 + 1.31160e6i 0.364423 + 0.338135i
\(433\) −1.93097e6 2.42136e6i −0.494944 0.620641i 0.470136 0.882594i \(-0.344205\pi\)
−0.965081 + 0.261953i \(0.915633\pi\)
\(434\) −1.91719e6 3.07039e6i −0.488586 0.782473i
\(435\) −8.25307e6 + 1.03490e7i −2.09118 + 2.62226i
\(436\) −44921.1 + 6770.76i −0.0113171 + 0.00170577i
\(437\) 7.23205e6 + 4.93073e6i 1.81158 + 1.23512i
\(438\) −691242. + 1.76126e6i −0.172165 + 0.438670i
\(439\) −1.43474e6 442558.i −0.355313 0.109600i 0.111960 0.993713i \(-0.464287\pi\)
−0.467273 + 0.884113i \(0.654763\pi\)
\(440\) 2.69183e6 0.662850
\(441\) −5.49289e6 442826.i −1.34495 0.108427i
\(442\) 1.19828e6 0.291744
\(443\) 5.91551e6 + 1.82469e6i 1.43213 + 0.441754i 0.911242 0.411871i \(-0.135124\pi\)
0.520889 + 0.853625i \(0.325601\pi\)
\(444\) 42783.5 109011.i 0.0102996 0.0262429i
\(445\) 274771. + 187336.i 0.0657765 + 0.0448457i
\(446\) 3.44467e6 519200.i 0.819994 0.123594i
\(447\) −904542. + 1.13426e6i −0.214121 + 0.268500i
\(448\) 490485. + 4.46643e6i 0.115460 + 1.05139i
\(449\) −1.09985e6 1.37916e6i −0.257464 0.322849i 0.636254 0.771480i \(-0.280483\pi\)
−0.893717 + 0.448631i \(0.851912\pi\)
\(450\) −1.06286e7 9.86190e6i −2.47426 2.29577i
\(451\) −1.25233e6 188758.i −0.289919 0.0436983i
\(452\) −333636. + 309569.i −0.0768116 + 0.0712708i
\(453\) 8.98822e6 6.12807e6i 2.05792 1.40307i
\(454\) 766149. + 3.35672e6i 0.174451 + 0.764320i
\(455\) −2.49279e6 2.91326e6i −0.564491 0.659707i
\(456\) −2.74392e6 + 1.20219e7i −0.617960 + 2.70746i
\(457\) 1.81283e6 + 4.61902e6i 0.406039 + 1.03457i 0.976933 + 0.213546i \(0.0685013\pi\)
−0.570894 + 0.821023i \(0.693403\pi\)
\(458\) 197162. + 2.63094e6i 0.0439197 + 0.586068i
\(459\) 796391. + 1.37939e6i 0.176439 + 0.305601i
\(460\) −359217. + 622182.i −0.0791521 + 0.137095i
\(461\) 4.28336e6 + 2.06276e6i 0.938712 + 0.452060i 0.839715 0.543028i \(-0.182722\pi\)
0.0989973 + 0.995088i \(0.468436\pi\)
\(462\) −916052. 2.11589e6i −0.199671 0.461198i
\(463\) 3.63931e6 1.75260e6i 0.788980 0.379953i 0.00440805 0.999990i \(-0.498597\pi\)
0.784572 + 0.620037i \(0.212883\pi\)
\(464\) 371658. 4.95943e6i 0.0801398 1.06939i
\(465\) 1.23570e7 3.81164e6i 2.65022 0.817485i
\(466\) −4.89533e6 + 1.51001e6i −1.04428 + 0.322118i
\(467\) −126306. + 1.68543e6i −0.0267997 + 0.357618i 0.967642 + 0.252328i \(0.0811961\pi\)
−0.994442 + 0.105290i \(0.966423\pi\)
\(468\) −176838. + 85160.5i −0.0373216 + 0.0179731i
\(469\) 972557. + 841742.i 0.204166 + 0.176704i
\(470\) 2.67358e6 + 1.28753e6i 0.558275 + 0.268851i
\(471\) −5.13467e6 + 8.89351e6i −1.06650 + 1.84723i
\(472\) 692768. + 1.19991e6i 0.143131 + 0.247910i
\(473\) 137222. + 1.83110e6i 0.0282014 + 0.376321i
\(474\) −4.11366e6 1.04814e7i −0.840974 2.14277i
\(475\) 4.98168e6 2.18262e7i 1.01308 4.43857i
\(476\) −41183.2 + 214345.i −0.00833111 + 0.0433607i
\(477\) −1.06993e6 4.68765e6i −0.215307 0.943321i
\(478\) −1.08120e6 + 737150.i −0.216439 + 0.147566i
\(479\) −5.98490e6 + 5.55317e6i −1.19184 + 1.10587i −0.199814 + 0.979834i \(0.564034\pi\)
−0.992026 + 0.126032i \(0.959776\pi\)
\(480\) −1.93879e6 292226.i −0.384086 0.0578917i
\(481\) −467992. 434233.i −0.0922308 0.0855777i
\(482\) −1.89248e6 2.37310e6i −0.371035 0.465263i
\(483\) 9.73634e6 + 1.12486e6i 1.89901 + 0.219396i
\(484\) 190457. 238826.i 0.0369559 0.0463413i
\(485\) −1.73377e7 + 2.61323e6i −3.34685 + 0.504456i
\(486\) −5.59236e6 3.81281e6i −1.07400 0.732241i
\(487\) −628107. + 1.60039e6i −0.120008 + 0.305776i −0.978237 0.207492i \(-0.933470\pi\)
0.858229 + 0.513268i \(0.171565\pi\)
\(488\) −2.11907e6 653646.i −0.402805 0.124249i
\(489\) −5.86784e6 −1.10970
\(490\) −8.45086e6 + 4.81571e6i −1.59005 + 0.906088i
\(491\) 1.68185e6 0.314836 0.157418 0.987532i \(-0.449683\pi\)
0.157418 + 0.987532i \(0.449683\pi\)
\(492\) 455036. + 140360.i 0.0847487 + 0.0261415i
\(493\) 1.50080e6 3.82397e6i 0.278102 0.708593i
\(494\) 3.48735e6 + 2.37763e6i 0.642951 + 0.438357i
\(495\) 4.67797e6 705091.i 0.858114 0.129340i
\(496\) −3.02930e6 + 3.79862e6i −0.552889 + 0.693301i
\(497\) −2.09898e6 + 2.08717e6i −0.381169 + 0.379023i
\(498\) −180100. 225838.i −0.0325416 0.0408059i
\(499\) 5.46472e6 + 5.07052e6i 0.982463 + 0.911592i 0.996093 0.0883147i \(-0.0281481\pi\)
−0.0136296 + 0.999907i \(0.504339\pi\)
\(500\) 1.11539e6 + 168118.i 0.199527 + 0.0300739i
\(501\) 6.19632e6 5.74934e6i 1.10291 1.02335i
\(502\) 1.17640e6 802058.i 0.208352 0.142052i
\(503\) 1.18515e6 + 5.19249e6i 0.208859 + 0.915073i 0.965327 + 0.261042i \(0.0840661\pi\)
−0.756468 + 0.654031i \(0.773077\pi\)
\(504\) 2.03090e6 + 7.66588e6i 0.356132 + 1.34427i
\(505\) 567903. 2.48814e6i 0.0990936 0.434157i
\(506\) 860467. + 2.19244e6i 0.149403 + 0.380672i
\(507\) −523733. 6.98873e6i −0.0904878 1.20748i
\(508\) −33775.0 58500.1i −0.00580679 0.0100577i
\(509\) −1.15109e6 + 1.99374e6i −0.196931 + 0.341094i −0.947532 0.319662i \(-0.896431\pi\)
0.750601 + 0.660756i \(0.229764\pi\)
\(510\) 9.78417e6 + 4.71181e6i 1.66571 + 0.802162i
\(511\) −1.51484e6 + 1.11141e6i −0.256634 + 0.188288i
\(512\) 5.77794e6 2.78251e6i 0.974088 0.469096i
\(513\) −419261. + 5.59465e6i −0.0703381 + 0.938597i
\(514\) 168210. 51885.9i 0.0280830 0.00866247i
\(515\) 83690.9 25815.2i 0.0139046 0.00428902i
\(516\) 51595.1 688489.i 0.00853069 0.113834i
\(517\) −629333. + 303071.i −0.103551 + 0.0498675i
\(518\) −1.30579e6 + 958038.i −0.213821 + 0.156877i
\(519\) 4.13282e6 + 1.99026e6i 0.673486 + 0.324334i
\(520\) −2.75885e6 + 4.77847e6i −0.447425 + 0.774962i
\(521\) −4.20914e6 7.29044e6i −0.679358 1.17668i −0.975174 0.221438i \(-0.928925\pi\)
0.295816 0.955245i \(-0.404408\pi\)
\(522\) −700305. 9.34492e6i −0.112489 1.50107i
\(523\) 3.23284e6 + 8.23715e6i 0.516809 + 1.31681i 0.916455 + 0.400139i \(0.131038\pi\)
−0.399646 + 0.916670i \(0.630867\pi\)
\(524\) 72401.6 317212.i 0.0115191 0.0504686i
\(525\) −6.41978e6 2.42323e7i −1.01653 3.83704i
\(526\) 495924. + 2.17278e6i 0.0781539 + 0.342414i
\(527\) −3.31584e6 + 2.26070e6i −0.520077 + 0.354582i
\(528\) −2.26861e6 + 2.10497e6i −0.354141 + 0.328595i
\(529\) −3.53555e6 532898.i −0.549310 0.0827952i
\(530\) −6.22119e6 5.77242e6i −0.962020 0.892624i
\(531\) 1.51822e6 + 1.90379e6i 0.233668 + 0.293011i
\(532\) −545162. + 542093.i −0.0835115 + 0.0830414i
\(533\) 1.61859e6 2.02965e6i 0.246785 0.309459i
\(534\) −405342. + 61095.5i −0.0615133 + 0.00927164i
\(535\) −7.80775e6 5.32324e6i −1.17935 0.804065i
\(536\) 676242. 1.72304e6i 0.101669 0.259049i
\(537\) 5.08807e6 + 1.56946e6i 0.761408 + 0.234863i
\(538\) −1.09702e6 −0.163402
\(539\) 354014. 2.26202e6i 0.0524866 0.335371i
\(540\) −460489. −0.0679572
\(541\) −3.16976e6 977742.i −0.465622 0.143625i 0.0530623 0.998591i \(-0.483102\pi\)
−0.518684 + 0.854966i \(0.673578\pi\)
\(542\) 3.71824e6 9.47392e6i 0.543675 1.38526i
\(543\) −1.08026e6 736506.i −0.157227 0.107196i
\(544\) 601685. 90689.4i 0.0871710 0.0131389i
\(545\) −1.39939e6 + 1.75478e6i −0.201813 + 0.253065i
\(546\) 4.69494e6 + 542415.i 0.673982 + 0.0778663i
\(547\) −3.85416e6 4.83296e6i −0.550758 0.690629i 0.426061 0.904694i \(-0.359901\pi\)
−0.976819 + 0.214065i \(0.931329\pi\)
\(548\) −75551.0 70101.1i −0.0107470 0.00997179i
\(549\) −3.85382e6 580870.i −0.545709 0.0822524i
\(550\) 4.41591e6 4.09736e6i 0.622462 0.577561i
\(551\) 1.19553e7 8.15100e6i 1.67758 1.14375i
\(552\) −3.13855e6 1.37509e7i −0.438411 1.92081i
\(553\) 2.10969e6 1.09803e7i 0.293364 1.52686i
\(554\) −1.64937e6 + 7.22638e6i −0.228320 + 1.00034i
\(555\) −2.11378e6 5.38581e6i −0.291291 0.742196i
\(556\) −21261.8 283719.i −0.00291685 0.0389226i
\(557\) 4.18920e6 + 7.25591e6i 0.572128 + 0.990955i 0.996347 + 0.0853955i \(0.0272154\pi\)
−0.424219 + 0.905560i \(0.639451\pi\)
\(558\) −4.57748e6 + 7.92843e6i −0.622359 + 1.07796i
\(559\) −3.39117e6 1.63310e6i −0.459007 0.221046i
\(560\) 9.87161e6 + 8.54381e6i 1.33020 + 1.15128i
\(561\) −2.30309e6 + 1.10911e6i −0.308962 + 0.148788i
\(562\) 167645. 2.23706e6i 0.0223897 0.298770i
\(563\) −9.86907e6 + 3.04421e6i −1.31222 + 0.404765i −0.870402 0.492341i \(-0.836141\pi\)
−0.441814 + 0.897107i \(0.645665\pi\)
\(564\) 250969. 77413.7i 0.0332217 0.0102475i
\(565\) −1.68041e6 + 2.24236e7i −0.221460 + 2.95518i
\(566\) −1.29619e7 + 6.24211e6i −1.70070 + 0.819012i
\(567\) −1.60793e6 3.71398e6i −0.210044 0.485157i
\(568\) 3.83791e6 + 1.84824e6i 0.499142 + 0.240374i
\(569\) 5.13888e6 8.90080e6i 0.665408 1.15252i −0.313767 0.949500i \(-0.601591\pi\)
0.979175 0.203020i \(-0.0650757\pi\)
\(570\) 1.91257e7 + 3.31266e7i 2.46564 + 4.27061i
\(571\) 358096. + 4.77845e6i 0.0459630 + 0.613334i 0.971860 + 0.235558i \(0.0756919\pi\)
−0.925897 + 0.377776i \(0.876689\pi\)
\(572\) −29792.5 75910.0i −0.00380730 0.00970084i
\(573\) −3.94037e6 + 1.72639e7i −0.501361 + 2.19660i
\(574\) −4.28162e6 5.00383e6i −0.542411 0.633903i
\(575\) 5.69814e6 + 2.49652e7i 0.718727 + 3.14895i
\(576\) 9.38949e6 6.40165e6i 1.17920 0.803962i
\(577\) −1.96999e6 + 1.82788e6i −0.246334 + 0.228564i −0.793670 0.608348i \(-0.791832\pi\)
0.547336 + 0.836913i \(0.315642\pi\)
\(578\) 4.33904e6 + 654006.i 0.540225 + 0.0814258i
\(579\) −1.06155e7 9.84978e6i −1.31597 1.22104i
\(580\) 740484. + 928538.i 0.0914000 + 0.114612i
\(581\) −31311.2 285125.i −0.00384822 0.0350424i
\(582\) 1.34751e7 1.68973e7i 1.64902 2.06780i
\(583\) 1.97537e6 297739.i 0.240701 0.0362798i
\(584\) 2.23396e6 + 1.52309e6i 0.271046 + 0.184796i
\(585\) −3.54279e6 + 9.02689e6i −0.428012 + 1.09056i
\(586\) 1.18491e7 + 3.65497e6i 1.42542 + 0.439684i
\(587\) −1.18297e7 −1.41702 −0.708512 0.705699i \(-0.750633\pi\)
−0.708512 + 0.705699i \(0.750633\pi\)
\(588\) −258385. + 821178.i −0.0308193 + 0.0979476i
\(589\) −1.41358e7 −1.67893
\(590\) 4.10702e6 + 1.26685e6i 0.485732 + 0.149828i
\(591\) 3.30549e6 8.42225e6i 0.389285 0.991881i
\(592\) 1.79609e6 + 1.22455e6i 0.210631 + 0.143606i
\(593\) 4.17547e6 629351.i 0.487606 0.0734947i 0.0993617 0.995051i \(-0.468320\pi\)
0.388244 + 0.921557i \(0.373082\pi\)
\(594\) −941235. + 1.18027e6i −0.109454 + 0.137251i
\(595\) 5.71149e6 + 9.14699e6i 0.661389 + 1.05922i
\(596\) 81157.6 + 101768.i 0.00935866 + 0.0117354i
\(597\) 1.22315e7 + 1.13492e7i 1.40458 + 1.30326i
\(598\) −4.77386e6 719543.i −0.545904 0.0822818i
\(599\) 5.71703e6 5.30463e6i 0.651034 0.604071i −0.283917 0.958849i \(-0.591634\pi\)
0.934951 + 0.354778i \(0.115443\pi\)
\(600\) −2.98067e7 + 2.03218e7i −3.38014 + 2.30454i
\(601\) −804636. 3.52534e6i −0.0908685 0.398121i 0.908955 0.416894i \(-0.136881\pi\)
−0.999824 + 0.0187727i \(0.994024\pi\)
\(602\) −5.69167e6 + 7.66656e6i −0.640101 + 0.862202i
\(603\) 723874. 3.17150e6i 0.0810718 0.355199i
\(604\) −356588. 908572.i −0.0397718 0.101337i
\(605\) −1.12784e6 1.50499e7i −0.125273 1.67165i
\(606\) 1.57292e6 + 2.72438e6i 0.173991 + 0.301361i
\(607\) −4.22821e6 + 7.32347e6i −0.465784 + 0.806762i −0.999237 0.0390683i \(-0.987561\pi\)
0.533452 + 0.845830i \(0.320894\pi\)
\(608\) 1.93103e6 + 929935.i 0.211851 + 0.102022i
\(609\) 7.61119e6 1.43032e7i 0.831590 1.56275i
\(610\) −6.19778e6 + 2.98469e6i −0.674390 + 0.324769i
\(611\) 106999. 1.42780e6i 0.0115951 0.154726i
\(612\) 527500. 162712.i 0.0569303 0.0175607i
\(613\) 8.50473e6 2.62336e6i 0.914133 0.281973i 0.198216 0.980158i \(-0.436485\pi\)
0.715917 + 0.698186i \(0.246009\pi\)
\(614\) 534832. 7.13684e6i 0.0572528 0.763985i
\(615\) 2.11970e7 1.02079e7i 2.25989 1.08830i
\(616\) −3.23912e6 + 603412.i −0.343935 + 0.0640711i
\(617\) −6.98067e6 3.36172e6i −0.738218 0.355507i 0.0266926 0.999644i \(-0.491502\pi\)
−0.764910 + 0.644137i \(0.777217\pi\)
\(618\) −53978.2 + 93493.1i −0.00568522 + 0.00984710i
\(619\) 7.27061e6 + 1.25931e7i 0.762683 + 1.32101i 0.941463 + 0.337117i \(0.109452\pi\)
−0.178779 + 0.983889i \(0.557215\pi\)
\(620\) −86705.6 1.15701e6i −0.00905874 0.120880i
\(621\) −2.34447e6 5.97361e6i −0.243958 0.621596i
\(622\) 3.09791e6 1.35728e7i 0.321065 1.40668i
\(623\) −372631. 163831.i −0.0384644 0.0169112i
\(624\) −1.41159e6 6.18458e6i −0.145127 0.635841i
\(625\) 2.51503e7 1.71472e7i 2.57539 1.75587i
\(626\) −1.28552e7 + 1.19278e7i −1.31112 + 1.21654i
\(627\) −8.90340e6 1.34197e6i −0.904456 0.136325i
\(628\) 675426. + 626703.i 0.0683406 + 0.0634108i
\(629\) 1.11951e6 + 1.40382e6i 0.112824 + 0.141476i
\(630\) 2.07925e7 + 1.31468e7i 2.08716 + 1.31968i
\(631\) 5.58905e6 7.00845e6i 0.558811 0.700726i −0.419527 0.907743i \(-0.637804\pi\)
0.978337 + 0.207017i \(0.0663754\pi\)
\(632\) −1.59107e7 + 2.39816e6i −1.58452 + 0.238828i
\(633\) −3.99563e6 2.72417e6i −0.396347 0.270225i
\(634\) 53149.0 135421.i 0.00525136 0.0133803i
\(635\) −3.18913e6 983716.i −0.313861 0.0968134i
\(636\) −751125. −0.0736324
\(637\) 3.65267e6 + 2.94679e6i 0.356666 + 0.287740i
\(638\) 3.89346e6 0.378690
\(639\) 7.15381e6 + 2.20666e6i 0.693083 + 0.213788i
\(640\) 6.36873e6 1.62273e7i 0.614615 1.56601i
\(641\) 5.64369e6 + 3.84780e6i 0.542523 + 0.369886i 0.803357 0.595498i \(-0.203045\pi\)
−0.260834 + 0.965384i \(0.583997\pi\)
\(642\) 1.15180e7 1.73606e6i 1.10291 0.166237i
\(643\) −2.06762e6 + 2.59271e6i −0.197216 + 0.247302i −0.870600 0.491992i \(-0.836269\pi\)
0.673383 + 0.739294i \(0.264840\pi\)
\(644\) 292781. 829207.i 0.0278182 0.0787859i
\(645\) −2.12679e7 2.66691e7i −2.01292 2.52412i
\(646\) −8.70199e6 8.07426e6i −0.820422 0.761240i
\(647\) −3.03861e6 457997.i −0.285374 0.0430133i 0.00479527 0.999989i \(-0.498474\pi\)
−0.290170 + 0.956975i \(0.593712\pi\)
\(648\) −4.26937e6 + 3.96140e6i −0.399417 + 0.370605i
\(649\) −835903. + 569909.i −0.0779012 + 0.0531122i
\(650\) 2.74769e6 + 1.20384e7i 0.255084 + 1.11760i
\(651\) −1.40150e7 + 7.35664e6i −1.29611 + 0.680341i
\(652\) −117152. + 513276.i −0.0107927 + 0.0472859i
\(653\) −7.07331e6 1.80225e7i −0.649142 1.65399i −0.751897 0.659280i \(-0.770861\pi\)
0.102755 0.994707i \(-0.467234\pi\)
\(654\) −206748. 2.75886e6i −0.0189015 0.252223i
\(655\) −8.03767e6 1.39216e7i −0.732026 1.26791i
\(656\) −4.41974e6 + 7.65521e6i −0.400993 + 0.694540i
\(657\) 4.28123e6 + 2.06173e6i 0.386950 + 0.186345i
\(658\) −3.50579e6 949985.i −0.315661 0.0855366i
\(659\) −6.51766e6 + 3.13874e6i −0.584626 + 0.281541i −0.702726 0.711461i \(-0.748034\pi\)
0.118100 + 0.993002i \(0.462320\pi\)
\(660\) 55228.2 736969.i 0.00493515 0.0658551i
\(661\) −4.73264e6 + 1.45982e6i −0.421308 + 0.129956i −0.498158 0.867086i \(-0.665990\pi\)
0.0768500 + 0.997043i \(0.475514\pi\)
\(662\) −2.05798e7 + 6.34803e6i −1.82514 + 0.562981i
\(663\) 391569. 5.22513e6i 0.0345959 0.461650i
\(664\) −371904. + 179100.i −0.0327349 + 0.0157643i
\(665\) −1.52738e6 + 3.79533e7i −0.133935 + 3.32809i
\(666\) 3.69042e6 + 1.77721e6i 0.322397 + 0.155258i
\(667\) −8.27529e6 + 1.43332e7i −0.720226 + 1.24747i
\(668\) −379201. 656795.i −0.0328797 0.0569494i
\(669\) −1.13835e6 1.51903e7i −0.0983358 1.31220i
\(670\) −2.09772e6 5.34490e6i −0.180534 0.459994i
\(671\) 360317. 1.57865e6i 0.0308943 0.135357i
\(672\) 2.39850e6 82967.7i 0.204888 0.00708739i
\(673\) 3.94854e6 + 1.72997e7i 0.336046 + 1.47231i 0.807208 + 0.590267i \(0.200977\pi\)
−0.471162 + 0.882046i \(0.656165\pi\)
\(674\) 3.71880e6 2.53543e6i 0.315321 0.214982i
\(675\) −1.20318e7 + 1.11639e7i −1.01641 + 0.943094i
\(676\) −621780. 93718.3i −0.0523323 0.00788783i
\(677\) 1.24956e7 + 1.15942e7i 1.04782 + 0.972234i 0.999646 0.0266050i \(-0.00846965\pi\)
0.0481730 + 0.998839i \(0.484660\pi\)
\(678\) −1.72816e7 2.16705e7i −1.44381 1.81048i
\(679\) 2.02769e7 7.03104e6i 1.68783 0.585255i
\(680\) 9.67568e6 1.21329e7i 0.802434 1.00622i
\(681\) 1.48874e7 2.24392e6i 1.23013 0.185413i
\(682\) −3.14272e6 2.14267e6i −0.258729 0.176399i
\(683\) 3.52850e6 8.99046e6i 0.289426 0.737446i −0.710020 0.704181i \(-0.751314\pi\)
0.999447 0.0332648i \(-0.0105905\pi\)
\(684\) 1.85804e6 + 573129.i 0.151850 + 0.0468395i
\(685\) −5.09200e6 −0.414631
\(686\) 9.08957e6 7.68922e6i 0.737451 0.623839i
\(687\) 1.15367e7 0.932592
\(688\) 1.22468e7 + 3.77762e6i 0.986393 + 0.304262i
\(689\) −1.49602e6 + 3.81179e6i −0.120057 + 0.305901i
\(690\) −3.61501e7 2.46467e7i −2.89059 1.97077i
\(691\) −6.83824e6 + 1.03070e6i −0.544815 + 0.0821176i −0.415683 0.909510i \(-0.636457\pi\)
−0.129132 + 0.991627i \(0.541219\pi\)
\(692\) 256606. 321774.i 0.0203705 0.0255438i
\(693\) −5.47104e6 + 1.89709e6i −0.432750 + 0.150056i
\(694\) −1.23144e7 1.54418e7i −0.970542 1.21702i
\(695\) −1.03044e7 9.56108e6i −0.809209 0.750836i
\(696\) −2.30558e7 3.47511e6i −1.80409 0.271922i
\(697\) −5.35225e6 + 4.96617e6i −0.417306 + 0.387204i
\(698\) 1.18598e7 8.08586e6i 0.921379 0.628185i
\(699\) 4.98477e6 + 2.18397e7i 0.385880 + 1.69065i
\(700\) −2.24784e6 + 77756.3i −0.173388 + 0.00599778i
\(701\) −2.63034e6 + 1.15243e7i −0.202170 + 0.885765i 0.767442 + 0.641118i \(0.221529\pi\)
−0.969612 + 0.244647i \(0.921328\pi\)
\(702\) −1.13052e6 2.88052e6i −0.0865837 0.220612i
\(703\) 472635. + 6.30687e6i 0.0360693 + 0.481311i
\(704\) 2.36075e6 + 4.08894e6i 0.179522 + 0.310942i
\(705\) 6.48797e6 1.12375e7i 0.491627 0.851524i
\(706\) 2.27521e7 + 1.09568e7i 1.71795 + 0.827319i
\(707\) −125614. + 3.12134e6i −0.00945127 + 0.234851i
\(708\) 342725. 165048.i 0.0256958 0.0123745i
\(709\) −394763. + 5.26775e6i −0.0294932 + 0.393559i 0.962849 + 0.270040i \(0.0870369\pi\)
−0.992342 + 0.123519i \(0.960582\pi\)
\(710\) 1.26268e7 3.89486e6i 0.940044 0.289965i
\(711\) −2.70222e7 + 8.33525e6i −2.00469 + 0.618364i
\(712\) −43775.7 + 584147.i −0.00323619 + 0.0431839i
\(713\) 1.45676e7 7.01538e6i 1.07316 0.516806i
\(714\) −1.28297e7 3.47654e6i −0.941826 0.255213i
\(715\) −3.62995e6 1.74809e6i −0.265544 0.127879i
\(716\) 238869. 413733.i 0.0174131 0.0301605i
\(717\) 2.86105e6 + 4.95549e6i 0.207839 + 0.359989i
\(718\) −823289. 1.09860e7i −0.0595993 0.795297i
\(719\) 3.27018e6 + 8.33228e6i 0.235911 + 0.601093i 0.998977 0.0452289i \(-0.0144017\pi\)
−0.763065 + 0.646322i \(0.776306\pi\)
\(720\) 7.34744e6 3.21912e7i 0.528208 2.31423i
\(721\) −94919.9 + 49824.5i −0.00680016 + 0.00356948i
\(722\) −6.29375e6 2.75747e7i −0.449331 1.96865i
\(723\) −1.09664e7 + 7.47676e6i −0.780222 + 0.531946i
\(724\) −85991.6 + 79788.6i −0.00609691 + 0.00565711i
\(725\) 4.18586e7 + 6.30916e6i 2.95760 + 0.445786i
\(726\) 1.36370e7 + 1.26533e7i 0.960237 + 0.890970i
\(727\) 3.87931e6 + 4.86450e6i 0.272219 + 0.341352i 0.899084 0.437776i \(-0.144234\pi\)
−0.626865 + 0.779128i \(0.715662\pi\)
\(728\) 2.24861e6 6.36846e6i 0.157248 0.445355i
\(729\) −1.37236e7 + 1.72088e7i −0.956421 + 1.19931i
\(730\) 8.29349e6 1.25004e6i 0.576010 0.0868195i
\(731\) 8.74659e6 + 5.96332e6i 0.605404 + 0.412757i
\(732\) −222432. + 566748.i −0.0153433 + 0.0390942i
\(733\) −2.03519e7 6.27774e6i −1.39909 0.431562i −0.498749 0.866746i \(-0.666207\pi\)
−0.900341 + 0.435184i \(0.856683\pi\)
\(734\) 8.92854e6 0.611703
\(735\) 1.82375e7 + 3.84239e7i 1.24522 + 2.62351i
\(736\) −2.45153e6 −0.166818
\(737\) 1.29152e6 + 398380.i 0.0875853 + 0.0270165i
\(738\) −6.08512e6 + 1.55046e7i −0.411271 + 1.04790i
\(739\) 1.58138e7 + 1.07817e7i 1.06518 + 0.726230i 0.963262 0.268563i \(-0.0865486\pi\)
0.101921 + 0.994792i \(0.467501\pi\)
\(740\) −513314. + 77369.6i −0.0344591 + 0.00519387i
\(741\) 1.15073e7 1.44297e7i 0.769891 0.965413i
\(742\) 8.78005e6 + 5.55150e6i 0.585447 + 0.370169i
\(743\) −1.63141e7 2.04572e7i −1.08415 1.35949i −0.928354 0.371698i \(-0.878776\pi\)
−0.155800 0.987789i \(-0.549796\pi\)
\(744\) 1.66978e7 + 1.54933e7i 1.10593 + 1.02615i
\(745\) 6.35923e6 + 958499.i 0.419772 + 0.0632705i
\(746\) 6.82748e6 6.33498e6i 0.449173 0.416772i
\(747\) −599399. + 408663.i −0.0393020 + 0.0267956i
\(748\) 51035.6 + 223602.i 0.00333518 + 0.0146124i
\(749\) 1.05885e7 + 4.65533e6i 0.689652 + 0.303212i
\(750\) −1.52860e7 + 6.69723e7i −0.992294 + 4.34753i
\(751\) 1.80607e6 + 4.60178e6i 0.116851 + 0.297732i 0.977319 0.211773i \(-0.0679237\pi\)
−0.860468 + 0.509505i \(0.829828\pi\)
\(752\) 364331. + 4.86166e6i 0.0234937 + 0.313502i
\(753\) −3.11298e6 5.39184e6i −0.200073 0.346537i
\(754\) −3.99041e6 + 6.91159e6i −0.255616 + 0.442741i
\(755\) −4.34471e7 2.09230e7i −2.77392 1.33585i
\(756\) 554116. 103225.i 0.0352611 0.00656874i
\(757\) −593309. + 285723.i −0.0376306 + 0.0181219i −0.452604 0.891711i \(-0.649505\pi\)
0.414974 + 0.909833i \(0.363791\pi\)
\(758\) −127777. + 1.70507e6i −0.00807756 + 0.107788i
\(759\) 9.84136e6 3.03566e6i 0.620085 0.191271i
\(760\) 5.22334e7 1.61119e7i 3.28030 1.01184i
\(761\) −224239. + 2.99226e6