Properties

Label 49.6.g.a.2.1
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 2.1
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-10.4274 - 3.21642i) q^{2} +(-3.43400 + 8.74968i) q^{3} +(71.9454 + 49.0516i) q^{4} +(12.8738 - 1.94041i) q^{5} +(63.9503 - 80.1911i) q^{6} +(-82.8526 - 99.7118i) q^{7} +(-374.716 - 469.879i) q^{8} +(113.367 + 105.189i) q^{9} +O(q^{10})\) \(q+(-10.4274 - 3.21642i) q^{2} +(-3.43400 + 8.74968i) q^{3} +(71.9454 + 49.0516i) q^{4} +(12.8738 - 1.94041i) q^{5} +(63.9503 - 80.1911i) q^{6} +(-82.8526 - 99.7118i) q^{7} +(-374.716 - 469.879i) q^{8} +(113.367 + 105.189i) q^{9} +(-140.481 - 21.1741i) q^{10} +(199.183 - 184.815i) q^{11} +(-676.246 + 461.057i) q^{12} +(104.796 + 459.142i) q^{13} +(543.221 + 1306.22i) q^{14} +(-27.2305 + 119.305i) q^{15} +(1377.98 + 3511.05i) q^{16} +(-64.0554 - 854.760i) q^{17} +(-843.789 - 1461.49i) q^{18} +(-1106.32 + 1916.20i) q^{19} +(1021.39 + 491.875i) q^{20} +(1156.96 - 382.524i) q^{21} +(-2671.40 + 1286.48i) q^{22} +(-205.447 + 2741.50i) q^{23} +(5398.06 - 1665.08i) q^{24} +(-2824.20 + 871.149i) q^{25} +(384.045 - 5124.73i) q^{26} +(-3367.54 + 1621.72i) q^{27} +(-1069.85 - 11237.9i) q^{28} +(-1583.31 - 762.482i) q^{29} +(667.678 - 1156.45i) q^{30} +(4124.21 + 7143.34i) q^{31} +(-1638.56 - 21865.1i) q^{32} +(933.078 + 2377.44i) q^{33} +(-2081.34 + 9118.95i) q^{34} +(-1260.11 - 1122.90i) q^{35} +(2996.55 + 13128.7i) q^{36} +(-880.736 + 600.475i) q^{37} +(17699.3 - 16422.5i) q^{38} +(-4377.22 - 659.759i) q^{39} +(-5735.77 - 5322.01i) q^{40} +(-0.553760 - 0.694393i) q^{41} +(-13294.4 + 267.444i) q^{42} +(-5798.99 + 7271.70i) q^{43} +(23395.8 - 3526.35i) q^{44} +(1663.57 + 1134.20i) q^{45} +(10960.1 - 27925.9i) q^{46} +(-22108.3 - 6819.51i) q^{47} -35452.5 q^{48} +(-3077.89 + 16522.8i) q^{49} +32251.0 q^{50} +(7698.84 + 2374.78i) q^{51} +(-14982.0 + 38173.6i) q^{52} +(30863.7 + 21042.5i) q^{53} +(40330.8 - 6078.89i) q^{54} +(2205.62 - 2765.76i) q^{55} +(-15806.3 + 76294.3i) q^{56} +(-12967.0 - 16260.1i) q^{57} +(14057.3 + 13043.3i) q^{58} +(-31403.9 - 4733.38i) q^{59} +(-7811.19 + 7247.73i) q^{60} +(-16860.2 + 11495.1i) q^{61} +(-20028.7 - 87751.6i) q^{62} +(1095.86 - 20019.2i) q^{63} +(-26383.9 + 115595. i) q^{64} +(2240.05 + 5707.54i) q^{65} +(-2082.70 - 27791.7i) q^{66} +(-8449.72 - 14635.3i) q^{67} +(37318.8 - 64638.1i) q^{68} +(-23281.7 - 11211.9i) q^{69} +(9527.91 + 15761.9i) q^{70} +(37355.1 - 17989.3i) q^{71} +(6945.78 - 92684.9i) q^{72} +(63213.8 - 19498.9i) q^{73} +(11115.2 - 3428.57i) q^{74} +(2076.00 - 27702.3i) q^{75} +(-173587. + 83595.0i) q^{76} +(-34931.1 - 4548.52i) q^{77} +(43520.9 + 20958.6i) q^{78} +(13751.4 - 23818.1i) q^{79} +(24552.7 + 42526.6i) q^{80} +(182.941 + 2441.18i) q^{81} +(3.54081 + 9.02183i) q^{82} +(-20471.9 + 89693.2i) q^{83} +(102002. + 29230.0i) q^{84} +(-2483.22 - 10879.7i) q^{85} +(83857.2 - 57172.9i) q^{86} +(12108.6 - 11235.1i) q^{87} +(-161478. - 24338.9i) q^{88} +(30870.5 + 28643.7i) q^{89} +(-13698.6 - 17177.5i) q^{90} +(37099.3 - 48490.6i) q^{91} +(-149256. + 187161. i) q^{92} +(-76664.5 + 11555.3i) q^{93} +(208598. + 142219. i) q^{94} +(-10524.3 + 26815.4i) q^{95} +(196939. + 60747.7i) q^{96} +125178. q^{97} +(85238.6 - 162390. i) q^{98} +42021.4 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −10.4274 3.21642i −1.84332 0.568589i −0.999489 0.0319799i \(-0.989819\pi\)
−0.843831 0.536609i \(-0.819705\pi\)
\(3\) −3.43400 + 8.74968i −0.220291 + 0.561292i −0.997706 0.0676958i \(-0.978435\pi\)
0.777415 + 0.628988i \(0.216531\pi\)
\(4\) 71.9454 + 49.0516i 2.24830 + 1.53286i
\(5\) 12.8738 1.94041i 0.230293 0.0347111i −0.0328818 0.999459i \(-0.510469\pi\)
0.263175 + 0.964748i \(0.415230\pi\)
\(6\) 63.9503 80.1911i 0.725211 0.909386i
\(7\) −82.8526 99.7118i −0.639089 0.769133i
\(8\) −374.716 469.879i −2.07003 2.59574i
\(9\) 113.367 + 105.189i 0.466531 + 0.432878i
\(10\) −140.481 21.1741i −0.444240 0.0669584i
\(11\) 199.183 184.815i 0.496331 0.460528i −0.391845 0.920031i \(-0.628163\pi\)
0.888176 + 0.459504i \(0.151973\pi\)
\(12\) −676.246 + 461.057i −1.35566 + 0.924275i
\(13\) 104.796 + 459.142i 0.171984 + 0.753510i 0.985180 + 0.171521i \(0.0548681\pi\)
−0.813197 + 0.581989i \(0.802275\pi\)
\(14\) 543.221 + 1306.22i 0.740724 + 1.78114i
\(15\) −27.2305 + 119.305i −0.0312484 + 0.136908i
\(16\) 1377.98 + 3511.05i 1.34569 + 3.42876i
\(17\) −64.0554 854.760i −0.0537568 0.717335i −0.957348 0.288939i \(-0.906698\pi\)
0.903591 0.428397i \(-0.140921\pi\)
\(18\) −843.789 1461.49i −0.613837 1.06320i
\(19\) −1106.32 + 1916.20i −0.703064 + 1.21774i 0.264321 + 0.964435i \(0.414852\pi\)
−0.967386 + 0.253309i \(0.918481\pi\)
\(20\) 1021.39 + 491.875i 0.570974 + 0.274966i
\(21\) 1156.96 382.524i 0.572494 0.189282i
\(22\) −2671.40 + 1286.48i −1.17675 + 0.566691i
\(23\) −205.447 + 2741.50i −0.0809804 + 1.08061i 0.797655 + 0.603115i \(0.206074\pi\)
−0.878635 + 0.477494i \(0.841545\pi\)
\(24\) 5398.06 1665.08i 1.91298 0.590076i
\(25\) −2824.20 + 871.149i −0.903743 + 0.278768i
\(26\) 384.045 5124.73i 0.111416 1.48675i
\(27\) −3367.54 + 1621.72i −0.889004 + 0.428122i
\(28\) −1069.85 11237.9i −0.257885 2.70887i
\(29\) −1583.31 762.482i −0.349600 0.168358i 0.250840 0.968029i \(-0.419293\pi\)
−0.600439 + 0.799670i \(0.705008\pi\)
\(30\) 667.678 1156.45i 0.135445 0.234598i
\(31\) 4124.21 + 7143.34i 0.770791 + 1.33505i 0.937130 + 0.348980i \(0.113472\pi\)
−0.166339 + 0.986069i \(0.553195\pi\)
\(32\) −1638.56 21865.1i −0.282871 3.77465i
\(33\) 933.078 + 2377.44i 0.149153 + 0.380036i
\(34\) −2081.34 + 9118.95i −0.308778 + 1.35284i
\(35\) −1260.11 1122.90i −0.173875 0.154942i
\(36\) 2996.55 + 13128.7i 0.385358 + 1.68836i
\(37\) −880.736 + 600.475i −0.105765 + 0.0721092i −0.615047 0.788490i \(-0.710863\pi\)
0.509283 + 0.860599i \(0.329911\pi\)
\(38\) 17699.3 16422.5i 1.98837 1.84494i
\(39\) −4377.22 659.759i −0.460826 0.0694583i
\(40\) −5735.77 5322.01i −0.566815 0.525928i
\(41\) −0.553760 0.694393i −5.14472e−5 6.45128e-5i 0.781806 0.623522i \(-0.214299\pi\)
−0.781857 + 0.623458i \(0.785727\pi\)
\(42\) −13294.4 + 267.444i −1.16291 + 0.0233943i
\(43\) −5798.99 + 7271.70i −0.478279 + 0.599743i −0.961177 0.275934i \(-0.911013\pi\)
0.482898 + 0.875677i \(0.339584\pi\)
\(44\) 23395.8 3526.35i 1.82182 0.274596i
\(45\) 1663.57 + 1134.20i 0.122464 + 0.0834949i
\(46\) 10960.1 27925.9i 0.763695 1.94586i
\(47\) −22108.3 6819.51i −1.45986 0.450307i −0.539702 0.841856i \(-0.681463\pi\)
−0.920157 + 0.391549i \(0.871939\pi\)
\(48\) −35452.5 −2.22098
\(49\) −3077.89 + 16522.8i −0.183132 + 0.983088i
\(50\) 32251.0 1.82439
\(51\) 7698.84 + 2374.78i 0.414477 + 0.127849i
\(52\) −14982.0 + 38173.6i −0.768356 + 1.95774i
\(53\) 30863.7 + 21042.5i 1.50924 + 1.02898i 0.984029 + 0.178008i \(0.0569653\pi\)
0.525209 + 0.850973i \(0.323987\pi\)
\(54\) 40330.8 6078.89i 1.88214 0.283687i
\(55\) 2205.62 2765.76i 0.0983160 0.123284i
\(56\) −15806.3 + 76294.3i −0.673535 + 3.25104i
\(57\) −12967.0 16260.1i −0.528631 0.662882i
\(58\) 14057.3 + 13043.3i 0.548697 + 0.509117i
\(59\) −31403.9 4733.38i −1.17450 0.177028i −0.467339 0.884078i \(-0.654787\pi\)
−0.707163 + 0.707050i \(0.750025\pi\)
\(60\) −7811.19 + 7247.73i −0.280117 + 0.259910i
\(61\) −16860.2 + 11495.1i −0.580149 + 0.395539i −0.817537 0.575876i \(-0.804661\pi\)
0.237388 + 0.971415i \(0.423709\pi\)
\(62\) −20028.7 87751.6i −0.661720 2.89919i
\(63\) 1095.86 20019.2i 0.0347858 0.635472i
\(64\) −26383.9 + 115595.i −0.805172 + 3.52769i
\(65\) 2240.05 + 5707.54i 0.0657618 + 0.167558i
\(66\) −2082.70 27791.7i −0.0588528 0.785336i
\(67\) −8449.72 14635.3i −0.229962 0.398305i 0.727835 0.685752i \(-0.240527\pi\)
−0.957796 + 0.287447i \(0.907193\pi\)
\(68\) 37318.8 64638.1i 0.978714 1.69518i
\(69\) −23281.7 11211.9i −0.588698 0.283502i
\(70\) 9527.91 + 15761.9i 0.232409 + 0.384472i
\(71\) 37355.1 17989.3i 0.879435 0.423514i 0.0610170 0.998137i \(-0.480566\pi\)
0.818418 + 0.574623i \(0.194851\pi\)
\(72\) 6945.78 92684.9i 0.157903 2.10707i
\(73\) 63213.8 19498.9i 1.38837 0.428255i 0.491626 0.870807i \(-0.336403\pi\)
0.896743 + 0.442551i \(0.145927\pi\)
\(74\) 11115.2 3428.57i 0.235959 0.0727837i
\(75\) 2076.00 27702.3i 0.0426162 0.568674i
\(76\) −173587. + 83595.0i −3.44733 + 1.66015i
\(77\) −34931.1 4548.52i −0.671406 0.0874265i
\(78\) 43520.9 + 20958.6i 0.809956 + 0.390054i
\(79\) 13751.4 23818.1i 0.247902 0.429378i −0.715042 0.699082i \(-0.753592\pi\)
0.962943 + 0.269704i \(0.0869257\pi\)
\(80\) 24552.7 + 42526.6i 0.428918 + 0.742908i
\(81\) 182.941 + 2441.18i 0.00309812 + 0.0413416i
\(82\) 3.54081 + 9.02183i 5.81524e−5 + 0.000148170i
\(83\) −20471.9 + 89693.2i −0.326184 + 1.42911i 0.500157 + 0.865935i \(0.333276\pi\)
−0.826341 + 0.563170i \(0.809582\pi\)
\(84\) 102002. + 29230.0i 1.57728 + 0.451991i
\(85\) −2483.22 10879.7i −0.0372793 0.163331i
\(86\) 83857.2 57172.9i 1.22263 0.833574i
\(87\) 12108.6 11235.1i 0.171512 0.159140i
\(88\) −161478. 24338.9i −2.22283 0.335038i
\(89\) 30870.5 + 28643.7i 0.413113 + 0.383313i 0.859169 0.511692i \(-0.170981\pi\)
−0.446056 + 0.895005i \(0.647172\pi\)
\(90\) −13698.6 17177.5i −0.178267 0.223540i
\(91\) 37099.3 48490.6i 0.469637 0.613838i
\(92\) −149256. + 187161.i −1.83849 + 2.30540i
\(93\) −76664.5 + 11555.3i −0.919151 + 0.138540i
\(94\) 208598. + 142219.i 2.43495 + 1.66012i
\(95\) −10524.3 + 26815.4i −0.119642 + 0.304842i
\(96\) 196939. + 60747.7i 2.18099 + 0.672747i
\(97\) 125178. 1.35082 0.675409 0.737443i \(-0.263967\pi\)
0.675409 + 0.737443i \(0.263967\pi\)
\(98\) 85238.6 162390.i 0.896543 1.70802i
\(99\) 42021.4 0.430906
\(100\) −245919. 75856.1i −2.45919 0.758561i
\(101\) −34862.3 + 88827.6i −0.340057 + 0.866452i 0.653889 + 0.756590i \(0.273136\pi\)
−0.993947 + 0.109862i \(0.964959\pi\)
\(102\) −72640.6 49525.5i −0.691319 0.471334i
\(103\) −144029. + 21708.8i −1.33769 + 0.201625i −0.778621 0.627495i \(-0.784080\pi\)
−0.559072 + 0.829119i \(0.688842\pi\)
\(104\) 176473. 221290.i 1.59990 2.00622i
\(105\) 14152.2 7169.50i 0.125271 0.0634623i
\(106\) −254146. 318689.i −2.19694 2.75488i
\(107\) 7995.47 + 7418.71i 0.0675125 + 0.0626425i 0.713207 0.700953i \(-0.247242\pi\)
−0.645695 + 0.763595i \(0.723432\pi\)
\(108\) −321827. 48507.7i −2.65499 0.400176i
\(109\) 90061.1 83564.5i 0.726058 0.673683i −0.227880 0.973689i \(-0.573179\pi\)
0.953937 + 0.300006i \(0.0969888\pi\)
\(110\) −31894.7 + 21745.5i −0.251326 + 0.171351i
\(111\) −2229.52 9768.18i −0.0171753 0.0752500i
\(112\) 235923. 428301.i 1.77716 3.22629i
\(113\) −5927.42 + 25969.7i −0.0436686 + 0.191325i −0.992058 0.125785i \(-0.959855\pi\)
0.948389 + 0.317110i \(0.102712\pi\)
\(114\) 82912.6 + 211258.i 0.597528 + 1.52248i
\(115\) 2674.75 + 35692.1i 0.0188599 + 0.251667i
\(116\) −76511.0 132521.i −0.527933 0.914407i
\(117\) −36416.4 + 63075.1i −0.245942 + 0.425984i
\(118\) 312236. + 150365.i 2.06433 + 0.994127i
\(119\) −79922.5 + 77206.2i −0.517371 + 0.499787i
\(120\) 66262.5 31910.3i 0.420063 0.202292i
\(121\) −6517.99 + 86976.5i −0.0404716 + 0.540056i
\(122\) 212782. 65634.4i 1.29430 0.399238i
\(123\) 7.97732 2.46068i 4.75438e−5 1.46653e-5i
\(124\) −53674.0 + 716230.i −0.313480 + 4.18310i
\(125\) −71323.5 + 34347.6i −0.408280 + 0.196617i
\(126\) −75817.3 + 205224.i −0.425443 + 1.15160i
\(127\) −248021. 119441.i −1.36452 0.657117i −0.398879 0.917004i \(-0.630600\pi\)
−0.965639 + 0.259887i \(0.916315\pi\)
\(128\) 296096. 512854.i 1.59738 2.76674i
\(129\) −43711.4 75710.3i −0.231270 0.400572i
\(130\) −4999.95 66719.7i −0.0259482 0.346255i
\(131\) −84943.7 216433.i −0.432467 1.10191i −0.966551 0.256476i \(-0.917438\pi\)
0.534083 0.845432i \(-0.320657\pi\)
\(132\) −49486.6 + 216815.i −0.247203 + 1.08307i
\(133\) 282728. 48449.0i 1.38593 0.237496i
\(134\) 41035.1 + 179786.i 0.197421 + 0.864957i
\(135\) −40206.1 + 27412.1i −0.189871 + 0.129452i
\(136\) −377631. + 350391.i −1.75074 + 1.62445i
\(137\) 21776.5 + 3282.28i 0.0991259 + 0.0149408i 0.198418 0.980118i \(-0.436420\pi\)
−0.0992920 + 0.995058i \(0.531658\pi\)
\(138\) 206705. + 191795.i 0.923962 + 0.857312i
\(139\) 135779. + 170261.i 0.596066 + 0.747443i 0.984759 0.173924i \(-0.0556447\pi\)
−0.388693 + 0.921367i \(0.627073\pi\)
\(140\) −35579.0 142598.i −0.153417 0.614883i
\(141\) 135588. 170022.i 0.574347 0.720209i
\(142\) −447377. + 67431.3i −1.86189 + 0.280634i
\(143\) 105730. + 72085.5i 0.432373 + 0.294787i
\(144\) −213106. + 542986.i −0.856427 + 2.18214i
\(145\) −21862.7 6743.75i −0.0863542 0.0266368i
\(146\) −721872. −2.80271
\(147\) −133999. 83669.7i −0.511458 0.319356i
\(148\) −92819.2 −0.348324
\(149\) −171277. 52832.0i −0.632025 0.194954i −0.0378418 0.999284i \(-0.512048\pi\)
−0.594183 + 0.804330i \(0.702524\pi\)
\(150\) −110750. + 282186.i −0.401897 + 1.02402i
\(151\) 157123. + 107125.i 0.560788 + 0.382339i 0.810284 0.586037i \(-0.199313\pi\)
−0.249496 + 0.968376i \(0.580265\pi\)
\(152\) 1.31493e6 198194.i 4.61631 0.695797i
\(153\) 82649.8 103640.i 0.285439 0.357929i
\(154\) 349610. + 159782.i 1.18791 + 0.542909i
\(155\) 66955.1 + 83959.1i 0.223849 + 0.280697i
\(156\) −282559. 262176.i −0.929602 0.862545i
\(157\) 118188. + 17814.0i 0.382670 + 0.0576782i 0.337561 0.941304i \(-0.390398\pi\)
0.0451095 + 0.998982i \(0.485636\pi\)
\(158\) −220000. + 204131.i −0.701101 + 0.650527i
\(159\) −290101. + 197787.i −0.910030 + 0.620448i
\(160\) −63521.6 278307.i −0.196165 0.859456i
\(161\) 290382. 206655.i 0.882886 0.628320i
\(162\) 5944.27 26043.5i 0.0177955 0.0779673i
\(163\) 30290.2 + 77178.2i 0.0892963 + 0.227523i 0.968544 0.248841i \(-0.0800496\pi\)
−0.879248 + 0.476364i \(0.841954\pi\)
\(164\) −5.77943 77.1212i −1.67794e−5 0.000223905i
\(165\) 16625.4 + 28796.1i 0.0475404 + 0.0823424i
\(166\) 501960. 869419.i 1.41383 2.44883i
\(167\) 359367. + 173062.i 0.997119 + 0.480187i 0.859960 0.510362i \(-0.170488\pi\)
0.137159 + 0.990549i \(0.456203\pi\)
\(168\) −613272. 400294.i −1.67641 1.09422i
\(169\) 134694. 64865.2i 0.362770 0.174701i
\(170\) −9100.21 + 121434.i −0.0241507 + 0.322268i
\(171\) −326983. + 100861.i −0.855135 + 0.263774i
\(172\) −773899. + 238716.i −1.99463 + 0.615263i
\(173\) 22151.1 295586.i 0.0562704 0.750877i −0.895695 0.444670i \(-0.853321\pi\)
0.951965 0.306207i \(-0.0990599\pi\)
\(174\) −162397. + 78206.5i −0.406636 + 0.195826i
\(175\) 320856. + 209429.i 0.791981 + 0.516941i
\(176\) 923366. + 444670.i 2.24694 + 1.08207i
\(177\) 149256. 258520.i 0.358096 0.620241i
\(178\) −229769. 397971.i −0.543552 0.941460i
\(179\) −51933.8 693008.i −0.121148 1.61661i −0.644575 0.764541i \(-0.722966\pi\)
0.523427 0.852071i \(-0.324653\pi\)
\(180\) 64051.9 + 163202.i 0.147350 + 0.375442i
\(181\) −106008. + 464451.i −0.240515 + 1.05376i 0.700035 + 0.714109i \(0.253168\pi\)
−0.940550 + 0.339656i \(0.889689\pi\)
\(182\) −542815. + 386303.i −1.21471 + 0.864469i
\(183\) −42680.6 186996.i −0.0942112 0.412766i
\(184\) 1.36516e6 930749.i 2.97261 2.02669i
\(185\) −10173.2 + 9439.37i −0.0218539 + 0.0202775i
\(186\) 836577. + 126094.i 1.77306 + 0.267246i
\(187\) −170731. 158416.i −0.357034 0.331279i
\(188\) −1.25608e6 1.57508e6i −2.59194 3.25018i
\(189\) 440714. + 201420.i 0.897435 + 0.410155i
\(190\) 195990. 245764.i 0.393867 0.493894i
\(191\) −486533. + 73333.0i −0.965003 + 0.145451i −0.612596 0.790396i \(-0.709875\pi\)
−0.352407 + 0.935847i \(0.614637\pi\)
\(192\) −920820. 627804.i −1.80269 1.22905i
\(193\) 360203. 917783.i 0.696072 1.77356i 0.0649386 0.997889i \(-0.479315\pi\)
0.631134 0.775674i \(-0.282590\pi\)
\(194\) −1.30528e6 402624.i −2.48999 0.768060i
\(195\) −57631.5 −0.108536
\(196\) −1.03191e6 + 1.03776e6i −1.91867 + 1.92956i
\(197\) −595854. −1.09389 −0.546946 0.837168i \(-0.684210\pi\)
−0.546946 + 0.837168i \(0.684210\pi\)
\(198\) −438173. 135159.i −0.794297 0.245008i
\(199\) 197831. 504066.i 0.354130 0.902308i −0.637175 0.770719i \(-0.719897\pi\)
0.991304 0.131588i \(-0.0420077\pi\)
\(200\) 1.46761e6 + 1.00060e6i 2.59439 + 1.76882i
\(201\) 157071. 23674.6i 0.274224 0.0413326i
\(202\) 649230. 814108.i 1.11949 1.40380i
\(203\) 55152.9 + 221048.i 0.0939352 + 0.376485i
\(204\) 437410. + 548495.i 0.735891 + 0.922778i
\(205\) −8.47638 7.86493i −1.40872e−5 1.30710e-5i
\(206\) 1.57167e6 + 236891.i 2.58044 + 0.388938i
\(207\) −311667. + 289185.i −0.505551 + 0.469083i
\(208\) −1.46766e6 + 1.00064e6i −2.35217 + 1.60368i
\(209\) 133782. + 586138.i 0.211852 + 0.928184i
\(210\) −170631. + 29239.7i −0.266999 + 0.0457535i
\(211\) 131079. 574297.i 0.202688 0.888035i −0.766603 0.642121i \(-0.778055\pi\)
0.969292 0.245914i \(-0.0790881\pi\)
\(212\) 1.18833e6 + 3.02782e6i 1.81593 + 4.62691i
\(213\) 29123.0 + 388620.i 0.0439833 + 0.586916i
\(214\) −59510.1 103075.i −0.0888294 0.153857i
\(215\) −60544.8 + 104867.i −0.0893265 + 0.154718i
\(216\) 2.02389e6 + 974652.i 2.95156 + 1.42140i
\(217\) 370574. 1.00308e6i 0.534227 1.44606i
\(218\) −1.20788e6 + 581685.i −1.72140 + 0.828985i
\(219\) −46467.0 + 620060.i −0.0654689 + 0.873621i
\(220\) 294349. 90794.8i 0.410021 0.126475i
\(221\) 385744. 118986.i 0.531274 0.163876i
\(222\) −8170.50 + 109028.i −0.0111267 + 0.148475i
\(223\) −303160. + 145994.i −0.408234 + 0.196595i −0.626719 0.779245i \(-0.715603\pi\)
0.218485 + 0.975840i \(0.429888\pi\)
\(224\) −2.04445e6 + 1.97496e6i −2.72243 + 2.62990i
\(225\) −411806. 198316.i −0.542297 0.261156i
\(226\) 145337. 251731.i 0.189280 0.327843i
\(227\) 398771. + 690692.i 0.513641 + 0.889651i 0.999875 + 0.0158230i \(0.00503683\pi\)
−0.486234 + 0.873828i \(0.661630\pi\)
\(228\) −135333. 1.80589e6i −0.172412 2.30067i
\(229\) 86259.8 + 219786.i 0.108698 + 0.276957i 0.974865 0.222797i \(-0.0715189\pi\)
−0.866167 + 0.499754i \(0.833424\pi\)
\(230\) 86910.2 380778.i 0.108331 0.474627i
\(231\) 159751. 290016.i 0.196976 0.357596i
\(232\) 235017. + 1.02968e6i 0.286669 + 1.25598i
\(233\) −190018. + 129552.i −0.229301 + 0.156335i −0.672521 0.740078i \(-0.734788\pi\)
0.443220 + 0.896413i \(0.353836\pi\)
\(234\) 582604. 540578.i 0.695559 0.645384i
\(235\) −297850. 44893.6i −0.351826 0.0530292i
\(236\) −2.02719e6 1.88096e6i −2.36927 2.19836i
\(237\) 161179. + 202112.i 0.186396 + 0.233733i
\(238\) 1.08171e6 547994.i 1.23785 0.627096i
\(239\) 249533. 312905.i 0.282575 0.354338i −0.620206 0.784439i \(-0.712951\pi\)
0.902781 + 0.430101i \(0.141522\pi\)
\(240\) −456408. + 68792.4i −0.511475 + 0.0770925i
\(241\) 471192. + 321253.i 0.522583 + 0.356291i 0.795701 0.605689i \(-0.207103\pi\)
−0.273118 + 0.961981i \(0.588055\pi\)
\(242\) 347719. 885974.i 0.381672 0.972484i
\(243\) −889895. 274496.i −0.966770 0.298209i
\(244\) −1.77687e6 −1.91065
\(245\) −7563.16 + 218683.i −0.00804985 + 0.232755i
\(246\) −91.0972 −9.59771e−5
\(247\) −995744. 307146.i −1.03850 0.320334i
\(248\) 1.81110e6 4.61461e6i 1.86988 4.76437i
\(249\) −714486. 487128.i −0.730290 0.497903i
\(250\) 854195. 128749.i 0.864384 0.130285i
\(251\) −793193. + 994633.i −0.794685 + 0.996503i 0.205157 + 0.978729i \(0.434229\pi\)
−0.999842 + 0.0177739i \(0.994342\pi\)
\(252\) 1.06082e6 1.38654e6i 1.05230 1.37541i
\(253\) 465749. + 584030.i 0.457457 + 0.573633i
\(254\) 2.20204e6 + 2.04319e6i 2.14161 + 1.98713i
\(255\) 103721. + 15633.4i 0.0998888 + 0.0150558i
\(256\) −1.95574e6 + 1.81466e6i −1.86514 + 1.73059i
\(257\) −789500. + 538272.i −0.745623 + 0.508357i −0.875527 0.483170i \(-0.839485\pi\)
0.129904 + 0.991527i \(0.458533\pi\)
\(258\) 212279. + 930055.i 0.198544 + 0.869880i
\(259\) 132846. + 38068.8i 0.123055 + 0.0352630i
\(260\) −118803. + 520510.i −0.108992 + 0.477524i
\(261\) −99290.3 252988.i −0.0902206 0.229878i
\(262\) 189601. + 2.53005e6i 0.170642 + 2.27706i
\(263\) −495854. 858844.i −0.442043 0.765641i 0.555798 0.831317i \(-0.312413\pi\)
−0.997841 + 0.0656765i \(0.979079\pi\)
\(264\) 767472. 1.32930e6i 0.677724 1.17385i
\(265\) 438163. + 211008.i 0.383284 + 0.184580i
\(266\) −3.10395e6 404178.i −2.68974 0.350242i
\(267\) −356632. + 171745.i −0.306156 + 0.147437i
\(268\) 109968. 1.46742e6i 0.0935252 1.24801i
\(269\) 799156. 246507.i 0.673365 0.207706i 0.0608292 0.998148i \(-0.480626\pi\)
0.612536 + 0.790442i \(0.290149\pi\)
\(270\) 507414. 156516.i 0.423597 0.130662i
\(271\) −116738. + 1.55775e6i −0.0965578 + 1.28847i 0.712887 + 0.701279i \(0.247387\pi\)
−0.809445 + 0.587196i \(0.800232\pi\)
\(272\) 2.91284e6 1.40275e6i 2.38723 1.14963i
\(273\) 296878. + 491123.i 0.241086 + 0.398826i
\(274\) −216515. 104268.i −0.174226 0.0839026i
\(275\) −401531. + 695472.i −0.320175 + 0.554559i
\(276\) −1.12505e6 1.94865e6i −0.888997 1.53979i
\(277\) 123496. + 1.64794e6i 0.0967061 + 1.29045i 0.808681 + 0.588248i \(0.200182\pi\)
−0.711974 + 0.702205i \(0.752199\pi\)
\(278\) −868185. 2.21210e6i −0.673753 1.71669i
\(279\) −283853. + 1.24364e6i −0.218315 + 0.956500i
\(280\) −55444.4 + 1.01287e6i −0.0422633 + 0.772071i
\(281\) −309659. 1.35671e6i −0.233948 1.02499i −0.946331 0.323200i \(-0.895241\pi\)
0.712383 0.701791i \(-0.247616\pi\)
\(282\) −1.96070e6 + 1.33678e6i −1.46821 + 1.00101i
\(283\) −1.03264e6 + 958154.i −0.766452 + 0.711163i −0.963051 0.269321i \(-0.913201\pi\)
0.196599 + 0.980484i \(0.437010\pi\)
\(284\) 3.56993e6 + 538080.i 2.62642 + 0.395869i
\(285\) −198485. 184168.i −0.144749 0.134308i
\(286\) −870631. 1.09174e6i −0.629389 0.789229i
\(287\) −23.3587 + 112.749i −1.67396e−5 + 8.07991e-5i
\(288\) 2.11421e6 2.65114e6i 1.50199 1.88344i
\(289\) 677486. 102115.i 0.477151 0.0719189i
\(290\) 206280. + 140639.i 0.144033 + 0.0982001i
\(291\) −429859. + 1.09526e6i −0.297573 + 0.758204i
\(292\) 5.50440e6 + 1.69788e6i 3.77792 + 1.16533i
\(293\) 389292. 0.264915 0.132457 0.991189i \(-0.457713\pi\)
0.132457 + 0.991189i \(0.457713\pi\)
\(294\) 1.12815e6 + 1.30346e6i 0.761198 + 0.879484i
\(295\) −413471. −0.276624
\(296\) 612177. + 188832.i 0.406114 + 0.125269i
\(297\) −371039. + 945392.i −0.244078 + 0.621900i
\(298\) 1.61604e6 + 1.10180e6i 1.05418 + 0.718724i
\(299\) −1.28027e6 + 192969.i −0.828177 + 0.124828i
\(300\) 1.50820e6 1.89123e6i 0.967512 1.21322i
\(301\) 1.20554e6 24251.7i 0.766945 0.0154286i
\(302\) −1.29383e6 1.62241e6i −0.816318 1.02363i
\(303\) −657496. 610067.i −0.411421 0.381743i
\(304\) −8.25234e6 1.24384e6i −5.12145 0.771935i
\(305\) −194750. + 180701.i −0.119875 + 0.111227i
\(306\) −1.19517e6 + 814854.i −0.729670 + 0.497481i
\(307\) −281886. 1.23502e6i −0.170697 0.747874i −0.985713 0.168435i \(-0.946129\pi\)
0.815015 0.579439i \(-0.196728\pi\)
\(308\) −2.29002e6 2.04067e6i −1.37551 1.22573i
\(309\) 304649. 1.33475e6i 0.181511 0.795252i
\(310\) −428119. 1.09083e6i −0.253023 0.644693i
\(311\) −57763.9 770805.i −0.0338653 0.451902i −0.988201 0.153164i \(-0.951054\pi\)
0.954335 0.298737i \(-0.0965654\pi\)
\(312\) 1.33021e6 + 2.30399e6i 0.773629 + 1.33996i
\(313\) 121058. 209679.i 0.0698447 0.120975i −0.828988 0.559266i \(-0.811083\pi\)
0.898833 + 0.438292i \(0.144416\pi\)
\(314\) −1.17510e6 565896.i −0.672588 0.323901i
\(315\) −24737.7 259849.i −0.0140470 0.147552i
\(316\) 2.15767e6 1.03908e6i 1.21553 0.585370i
\(317\) 9148.91 122084.i 0.00511354 0.0682354i −0.994063 0.108804i \(-0.965298\pi\)
0.999177 + 0.0405686i \(0.0129169\pi\)
\(318\) 3.66116e6 1.12932e6i 2.03026 0.626251i
\(319\) −456287. + 140746.i −0.251051 + 0.0774389i
\(320\) −115358. + 1.53934e6i −0.0629756 + 0.840351i
\(321\) −92367.7 + 44481.9i −0.0500331 + 0.0240947i
\(322\) −3.69261e6 + 1.22088e6i −1.98470 + 0.656196i
\(323\) 1.70875e6 + 822892.i 0.911325 + 0.438871i
\(324\) −106582. + 184605.i −0.0564054 + 0.0976971i
\(325\) −695947. 1.20541e6i −0.365483 0.633036i
\(326\) −67610.1 902194.i −0.0352344 0.470171i
\(327\) 421893. + 1.07497e6i 0.218189 + 0.555937i
\(328\) −118.778 + 520.400i −6.09609e−5 + 0.000267087i
\(329\) 1.15175e6 + 2.76947e6i 0.586633 + 1.41061i
\(330\) −80739.4 353743.i −0.0408132 0.178814i
\(331\) 2.57894e6 1.75829e6i 1.29381 0.882105i 0.296473 0.955041i \(-0.404189\pi\)
0.997337 + 0.0729363i \(0.0232370\pi\)
\(332\) −5.87245e6 + 5.44884e6i −2.92398 + 2.71306i
\(333\) −163010. 24569.8i −0.0805571 0.0121420i
\(334\) −3.19062e6 2.96046e6i −1.56498 1.45209i
\(335\) −137178. 172016.i −0.0667841 0.0837447i
\(336\) 2.93733e6 + 3.53504e6i 1.41940 + 1.70823i
\(337\) 1.09962e6 1.37887e6i 0.527432 0.661378i −0.444737 0.895661i \(-0.646703\pi\)
0.972168 + 0.234283i \(0.0752742\pi\)
\(338\) −1.61314e6 + 243142.i −0.768034 + 0.115763i
\(339\) −206872. 141043.i −0.0977693 0.0666580i
\(340\) 355010. 904550.i 0.166549 0.424361i
\(341\) 2.14167e6 + 660618.i 0.997394 + 0.307655i
\(342\) 3.73399e6 1.72627
\(343\) 1.90253e6 1.06205e6i 0.873163 0.487428i
\(344\) 5.58980e6 2.54683
\(345\) −321479. 99163.2i −0.145414 0.0448542i
\(346\) −1.18171e6 + 3.01094e6i −0.530664 + 1.35211i
\(347\) 1.42572e6 + 972038.i 0.635638 + 0.433371i 0.837797 0.545982i \(-0.183843\pi\)
−0.202159 + 0.979353i \(0.564796\pi\)
\(348\) 1.42225e6 214370.i 0.629548 0.0948891i
\(349\) −228669. + 286742.i −0.100495 + 0.126017i −0.829536 0.558453i \(-0.811395\pi\)
0.729041 + 0.684470i \(0.239966\pi\)
\(350\) −2.67208e6 3.21580e6i −1.16595 1.40320i
\(351\) −1.09751e6 1.37623e6i −0.475488 0.596243i
\(352\) −4.36737e6 4.05233e6i −1.87873 1.74320i
\(353\) 435696. + 65670.7i 0.186100 + 0.0280501i 0.241431 0.970418i \(-0.422383\pi\)
−0.0553307 + 0.998468i \(0.517621\pi\)
\(354\) −2.38786e6 + 2.21561e6i −1.01275 + 0.939693i
\(355\) 445994. 304074.i 0.187827 0.128058i
\(356\) 815977. + 3.57503e6i 0.341235 + 1.49505i
\(357\) −401076. 964422.i −0.166554 0.400495i
\(358\) −1.68747e6 + 7.39331e6i −0.695872 + 3.04882i
\(359\) −1.09642e6 2.79363e6i −0.448994 1.14402i −0.958889 0.283781i \(-0.908411\pi\)
0.509895 0.860237i \(-0.329684\pi\)
\(360\) −90428.3 1.20668e6i −0.0367746 0.490723i
\(361\) −1.20982e6 2.09547e6i −0.488599 0.846279i
\(362\) 2.59926e6 4.50205e6i 1.04250 1.80567i
\(363\) −738634. 355707.i −0.294214 0.141686i
\(364\) 5.04766e6 1.66890e6i 1.99681 0.660201i
\(365\) 775964. 373685.i 0.304866 0.146816i
\(366\) −156411. + 2.08716e6i −0.0610329 + 0.814428i
\(367\) −852371. + 262922.i −0.330342 + 0.101897i −0.455489 0.890241i \(-0.650536\pi\)
0.125148 + 0.992138i \(0.460060\pi\)
\(368\) −9.90864e6 + 3.05641e6i −3.81412 + 1.17650i
\(369\) 10.2645 136.971i 3.92441e−6 5.23676e-5i
\(370\) 136441. 65706.6i 0.0518133 0.0249520i
\(371\) −458950. 4.82090e6i −0.173113 1.81842i
\(372\) −6.08246e6 2.92916e6i −2.27888 1.09745i
\(373\) −355386. + 615547.i −0.132260 + 0.229081i −0.924547 0.381067i \(-0.875557\pi\)
0.792287 + 0.610148i \(0.208890\pi\)
\(374\) 1.27075e6 + 2.20101e6i 0.469766 + 0.813658i
\(375\) −55605.8 742007.i −0.0204193 0.272477i
\(376\) 5.07999e6 + 1.29436e7i 1.85308 + 4.72156i
\(377\) 184163. 806870.i 0.0667342 0.292382i
\(378\) −3.94765e6 3.51781e6i −1.42105 1.26632i
\(379\) −171510. 751436.i −0.0613327 0.268716i 0.934959 0.354756i \(-0.115436\pi\)
−0.996292 + 0.0860396i \(0.972579\pi\)
\(380\) −2.07251e6 + 1.41301e6i −0.736270 + 0.501980i
\(381\) 1.89677e6 1.75995e6i 0.669425 0.621136i
\(382\) 5.30913e6 + 800223.i 1.86151 + 0.280577i
\(383\) 179697. + 166734.i 0.0625956 + 0.0580803i 0.710850 0.703343i \(-0.248310\pi\)
−0.648255 + 0.761424i \(0.724501\pi\)
\(384\) 3.47051e6 + 4.35189e6i 1.20106 + 1.50609i
\(385\) −458521. + 9224.05i −0.157655 + 0.00317154i
\(386\) −6.70796e6 + 8.41151e6i −2.29151 + 2.87347i
\(387\) −1.42232e6 + 214380.i −0.482747 + 0.0727624i
\(388\) 9.00595e6 + 6.14016e6i 3.03704 + 2.07062i
\(389\) 316391. 806152.i 0.106011 0.270111i −0.868019 0.496531i \(-0.834607\pi\)
0.974030 + 0.226420i \(0.0727021\pi\)
\(390\) 600946. + 185367.i 0.200066 + 0.0617123i
\(391\) 2.35648e6 0.779512
\(392\) 8.91704e6 4.74511e6i 2.93093 1.55966i
\(393\) 2.18542e6 0.713761
\(394\) 6.21320e6 + 1.91652e6i 2.01639 + 0.621975i
\(395\) 130815. 333312.i 0.0421858 0.107488i
\(396\) 3.02325e6 + 2.06121e6i 0.968803 + 0.660519i
\(397\) 855283. 128913.i 0.272354 0.0410508i −0.0114452 0.999935i \(-0.503643\pi\)
0.283799 + 0.958884i \(0.408405\pi\)
\(398\) −3.68415e6 + 4.61978e6i −1.16582 + 1.46189i
\(399\) −546975. + 2.64016e6i −0.172003 + 0.830228i
\(400\) −6.95035e6 8.71546e6i −2.17198 2.72358i
\(401\) −760545. 705683.i −0.236191 0.219154i 0.553193 0.833053i \(-0.313409\pi\)
−0.789384 + 0.613900i \(0.789600\pi\)
\(402\) −1.71399e6 258342.i −0.528984 0.0797315i
\(403\) −2.84761e6 + 2.64220e6i −0.873409 + 0.810405i
\(404\) −6.86532e6 + 4.68069e6i −2.09270 + 1.42678i
\(405\) 7092.03 + 31072.2i 0.00214849 + 0.00941314i
\(406\) 135884. 2.48235e6i 0.0409123 0.747392i
\(407\) −64450.9 + 282378.i −0.0192860 + 0.0844976i
\(408\) −1.76902e6 4.50739e6i −0.526118 1.34053i
\(409\) −250720. 3.34562e6i −0.0741106 0.988937i −0.903032 0.429573i \(-0.858664\pi\)
0.828922 0.559365i \(-0.188955\pi\)
\(410\) 63.0896 + 109.274i 1.85352e−5 + 3.21040e-5i
\(411\) −103499. + 179266.i −0.0302227 + 0.0523473i
\(412\) −1.14271e7 5.50299e6i −3.31659 1.59719i
\(413\) 2.12992e6 + 3.52351e6i 0.614453 + 1.01648i
\(414\) 4.18002e6 2.01299e6i 1.19861 0.577219i
\(415\) −89508.9 + 1.19441e6i −0.0255121 + 0.340435i
\(416\) 9.86747e6 3.04371e6i 2.79558 0.862323i
\(417\) −1.95599e6 + 603344.i −0.550842 + 0.169912i
\(418\) 490269. 6.54219e6i 0.137244 1.83140i
\(419\) 2.24316e6 1.08025e6i 0.624203 0.300600i −0.0949182 0.995485i \(-0.530259\pi\)
0.719121 + 0.694885i \(0.244545\pi\)
\(420\) 1.36986e6 + 178375.i 0.378925 + 0.0493413i
\(421\) −464560. 223720.i −0.127743 0.0615178i 0.368921 0.929461i \(-0.379727\pi\)
−0.496664 + 0.867943i \(0.665442\pi\)
\(422\) −3.21400e6 + 5.56681e6i −0.878546 + 1.52169i
\(423\) −1.78902e6 3.09866e6i −0.486142 0.842023i
\(424\) −1.67769e6 2.23872e7i −0.453206 6.04762i
\(425\) 925529. + 2.35821e6i 0.248552 + 0.633301i
\(426\) 946289. 4.14596e6i 0.252639 1.10688i
\(427\) 2.54311e6 + 728765.i 0.674988 + 0.193427i
\(428\) 211338. + 925932.i 0.0557658 + 0.244326i
\(429\) −993802. + 677563.i −0.260709 + 0.177749i
\(430\) 968620. 898748.i 0.252628 0.234405i
\(431\) −2.20844e6 332869.i −0.572654 0.0863137i −0.143670 0.989626i \(-0.545890\pi\)
−0.428984 + 0.903312i \(0.641128\pi\)
\(432\) −1.03344e7 9.58889e6i −2.66425 2.47206i
\(433\) 4.44987e6 + 5.57996e6i 1.14058 + 1.43025i 0.886296 + 0.463120i \(0.153270\pi\)
0.254289 + 0.967128i \(0.418159\pi\)
\(434\) −7.09044e6 + 9.26755e6i −1.80696 + 2.36179i
\(435\) 134082. 168133.i 0.0339740 0.0426021i
\(436\) 1.05785e7 1.59445e6i 2.66505 0.401692i
\(437\) −5.02596e6 3.42664e6i −1.25897 0.858351i
\(438\) 2.47890e6 6.31615e6i 0.617411 1.57314i
\(439\) −637198. 196550.i −0.157802 0.0486756i 0.214848 0.976648i \(-0.431075\pi\)
−0.372650 + 0.927972i \(0.621551\pi\)
\(440\) −2.12606e6 −0.523532
\(441\) −2.08695e6 + 1.54938e6i −0.510994 + 0.379368i
\(442\) −4.40501e6 −1.07249
\(443\) 7.16456e6 + 2.20997e6i 1.73452 + 0.535030i 0.991021 0.133703i \(-0.0426869\pi\)
0.743502 + 0.668733i \(0.233163\pi\)
\(444\) 318741. 812138.i 0.0767326 0.195512i
\(445\) 453000. + 308850.i 0.108442 + 0.0739347i
\(446\) 3.63075e6 547247.i 0.864288 0.130270i
\(447\) 1.05043e6 1.31720e6i 0.248655 0.311804i
\(448\) 1.37122e7 6.94659e6i 3.22784 1.63522i
\(449\) −260526. 326689.i −0.0609867 0.0764750i 0.750402 0.660981i \(-0.229860\pi\)
−0.811389 + 0.584506i \(0.801288\pi\)
\(450\) 3.65620e6 + 3.39246e6i 0.851135 + 0.789738i
\(451\) −238.634 35.9683i −5.52447e−5 8.32680e-6i
\(452\) −1.70031e6 + 1.57765e6i −0.391454 + 0.363217i
\(453\) −1.47687e6 + 1.00691e6i −0.338140 + 0.230540i
\(454\) −1.93659e6 8.48473e6i −0.440958 1.93196i
\(455\) 383516. 696244.i 0.0868470 0.157664i
\(456\) −2.78134e6 + 1.21859e7i −0.626386 + 2.74438i
\(457\) −1.72882e6 4.40497e6i −0.387222 0.986626i −0.983021 0.183492i \(-0.941260\pi\)
0.595799 0.803134i \(-0.296836\pi\)
\(458\) −192538. 2.56925e6i −0.0428898 0.572324i
\(459\) 1.60189e6 + 2.77456e6i 0.354897 + 0.614699i
\(460\) −1.55832e6 + 2.69908e6i −0.343369 + 0.594732i
\(461\) −198965. 95816.7i −0.0436039 0.0209985i 0.411955 0.911204i \(-0.364846\pi\)
−0.455559 + 0.890206i \(0.650560\pi\)
\(462\) −2.59860e6 + 2.51028e6i −0.566416 + 0.547165i
\(463\) −2.35225e6 + 1.13278e6i −0.509954 + 0.245581i −0.671123 0.741346i \(-0.734188\pi\)
0.161169 + 0.986927i \(0.448474\pi\)
\(464\) 495333. 6.60976e6i 0.106808 1.42525i
\(465\) −964538. + 297521.i −0.206865 + 0.0638094i
\(466\) 2.39809e6 739713.i 0.511565 0.157797i
\(467\) −43316.1 + 578014.i −0.00919089 + 0.122644i −0.999912 0.0132667i \(-0.995777\pi\)
0.990721 + 0.135911i \(0.0433960\pi\)
\(468\) −5.71393e6 + 2.75168e6i −1.20592 + 0.580742i
\(469\) −759236. + 2.05511e6i −0.159384 + 0.431423i
\(470\) 2.96140e6 + 1.42613e6i 0.618376 + 0.297794i
\(471\) −561724. + 972934.i −0.116673 + 0.202084i
\(472\) 9.54344e6 + 1.65297e7i 1.97174 + 3.41516i
\(473\) 188859. + 2.52014e6i 0.0388136 + 0.517931i
\(474\) −1.03060e6 2.62592e6i −0.210689 0.536828i
\(475\) 1.45516e6 6.37548e6i 0.295922 1.29652i
\(476\) −9.53715e6 + 1.63431e6i −1.92931 + 0.330610i
\(477\) 1.28548e6 + 5.63205e6i 0.258684 + 1.13337i
\(478\) −3.60842e6 + 2.46018e6i −0.722349 + 0.492489i
\(479\) −5.36118e6 + 4.97445e6i −1.06763 + 0.990619i −0.999975 0.00709001i \(-0.997743\pi\)
−0.0676580 + 0.997709i \(0.521553\pi\)
\(480\) 2.65323e6 + 399909.i 0.525619 + 0.0792243i
\(481\) −368001. 341455.i −0.0725249 0.0672932i
\(482\) −3.88002e6 4.86539e6i −0.760704 0.953893i
\(483\) 810994. + 3.25040e6i 0.158179 + 0.633970i
\(484\) −4.73528e6 + 5.93785e6i −0.918823 + 1.15217i
\(485\) 1.61151e6 242896.i 0.311084 0.0468884i
\(486\) 8.39638e6 + 5.72456e6i 1.61251 + 1.09939i
\(487\) −1.05324e6 + 2.68362e6i −0.201236 + 0.512742i −0.995492 0.0948415i \(-0.969766\pi\)
0.794256 + 0.607583i \(0.207861\pi\)
\(488\) 1.17191e7 + 3.61487e6i 2.22764 + 0.687137i
\(489\) −779301. −0.147378
\(490\) 782240. 2.25596e6i 0.147180 0.424465i
\(491\) 1.02905e7 1.92633 0.963166 0.268907i \(-0.0866624\pi\)
0.963166 + 0.268907i \(0.0866624\pi\)
\(492\) 694.632 + 214.266i 0.000129373 + 3.99061e-5i
\(493\) −550320. + 1.40219e6i −0.101976 + 0.259830i
\(494\) 9.39510e6 + 6.40547e6i 1.73214 + 1.18096i
\(495\) 540973. 81538.6i 0.0992346 0.0149572i
\(496\) −1.93975e7 + 2.43237e7i −3.54031 + 4.43941i
\(497\) −4.88871e6 2.23429e6i −0.887775 0.405740i
\(498\) 5.88341e6 + 7.37757e6i 1.06306 + 1.33303i
\(499\) −966734. 896998.i −0.173802 0.161265i 0.588475 0.808515i \(-0.299728\pi\)
−0.762278 + 0.647250i \(0.775919\pi\)
\(500\) −6.81621e6 1.02738e6i −1.21932 0.183783i
\(501\) −2.74830e6 + 2.55005e6i −0.489182 + 0.453894i
\(502\) 1.14701e7 7.82018e6i 2.03146 1.38502i
\(503\) 1.16431e6 + 5.10117e6i 0.205186 + 0.898980i 0.967719 + 0.252031i \(0.0810984\pi\)
−0.762533 + 0.646950i \(0.776044\pi\)
\(504\) −9.81726e6 + 6.98661e6i −1.72153 + 1.22515i
\(505\) −276447. + 1.21119e6i −0.0482373 + 0.211342i
\(506\) −2.97805e6 7.58796e6i −0.517078 1.31749i
\(507\) 105011. + 1.40128e6i 0.0181433 + 0.242105i
\(508\) −1.19852e7 2.07590e7i −2.06057 3.56901i
\(509\) 536810. 929783.i 0.0918388 0.159070i −0.816446 0.577422i \(-0.804059\pi\)
0.908285 + 0.418352i \(0.137392\pi\)
\(510\) −1.03126e6 496627.i −0.175566 0.0845484i
\(511\) −7.18170e6 4.68763e6i −1.21668 0.794148i
\(512\) 9.15645e6 4.40951e6i 1.54366 0.743389i
\(513\) 618027. 8.24700e6i 0.103685 1.38358i
\(514\) 9.96373e6 3.07340e6i 1.66347 0.513112i
\(515\) −1.81207e6 + 558949.i −0.301062 + 0.0928655i
\(516\) 568876. 7.59112e6i 0.0940575 1.25511i
\(517\) −5.66395e6 + 2.72762e6i −0.931951 + 0.448804i
\(518\) −1.26279e6 824246.i −0.206779 0.134969i
\(519\) 2.51021e6 + 1.20886e6i 0.409065 + 0.196995i
\(520\) 1.84247e6 3.19126e6i 0.298809 0.517552i
\(521\) −5.96245e6 1.03273e7i −0.962345 1.66683i −0.716585 0.697500i \(-0.754296\pi\)
−0.245760 0.969331i \(-0.579037\pi\)
\(522\) 221623. + 2.95736e6i 0.0355991 + 0.475038i
\(523\) 1.30462e6 + 3.32411e6i 0.208559 + 0.531400i 0.996428 0.0844426i \(-0.0269110\pi\)
−0.787869 + 0.615843i \(0.788816\pi\)
\(524\) 4.50507e6 1.97380e7i 0.716759 3.14033i
\(525\) −2.93425e6 + 2.08821e6i −0.464621 + 0.330655i
\(526\) 2.40806e6 + 1.05504e7i 0.379492 + 1.66266i
\(527\) 5.84167e6 3.98278e6i 0.916242 0.624683i
\(528\) −7.06155e6 + 6.55216e6i −1.10234 + 1.02282i
\(529\) −1.10915e6 167178.i −0.172327 0.0259741i
\(530\) −3.89020e6 3.60958e6i −0.601565 0.558171i
\(531\) −3.06227e6 3.83996e6i −0.471311 0.591005i
\(532\) 2.27175e7 + 1.03826e7i 3.48002 + 1.59047i
\(533\) 260.793 327.024i 3.97629e−5 4.98611e-5i
\(534\) 4.27115e6 643772.i 0.648174 0.0976965i
\(535\) 117327. + 79992.3i 0.0177220 + 0.0120827i
\(536\) −3.71060e6 + 9.45445e6i −0.557869 + 1.42143i
\(537\) 6.24194e6 + 1.92538e6i 0.934079 + 0.288125i
\(538\) −9.12598e6 −1.35933
\(539\) 2.44059e6 + 3.85990e6i 0.361845 + 0.572274i
\(540\) −4.23725e6 −0.625317
\(541\) −6.86398e6 2.11726e6i −1.00828 0.311014i −0.253746 0.967271i \(-0.581663\pi\)
−0.754538 + 0.656257i \(0.772139\pi\)
\(542\) 6.22767e6 1.58678e7i 0.910599 2.32017i
\(543\) −3.69977e6 2.52246e6i −0.538486 0.367134i
\(544\) −1.85844e7 + 2.80115e6i −2.69248 + 0.405826i
\(545\) 997277. 1.25055e6i 0.143822 0.180347i
\(546\) −1.51600e6 6.07602e6i −0.217630 0.872243i
\(547\) 7.02701e6 + 8.81159e6i 1.00416 + 1.25917i 0.965631 + 0.259917i \(0.0836952\pi\)
0.0385271 + 0.999258i \(0.487733\pi\)
\(548\) 1.40572e6 + 1.30432e6i 0.199962 + 0.185538i
\(549\) −3.12056e6 470349.i −0.441877 0.0666023i
\(550\) 6.42386e6 5.96047e6i 0.905501 0.840182i
\(551\) 3.21271e6 2.19039e6i 0.450808 0.307356i
\(552\) 3.45581e6 + 1.51409e7i 0.482727 + 2.11497i
\(553\) −3.51429e6 + 602216.i −0.488680 + 0.0837413i
\(554\) 4.01274e6 1.75809e7i 0.555477 2.43370i
\(555\) −47656.6 121427.i −0.00656736 0.0167334i
\(556\) 1.41708e6 + 1.89097e7i 0.194405 + 2.59416i
\(557\) 3.78081e6 + 6.54856e6i 0.516354 + 0.894351i 0.999820 + 0.0189876i \(0.00604430\pi\)
−0.483466 + 0.875363i \(0.660622\pi\)
\(558\) 6.95993e6 1.20550e7i 0.946279 1.63900i
\(559\) −3.94646e6 1.90051e6i −0.534168 0.257242i
\(560\) 2.20614e6 5.97163e6i 0.297279 0.804680i
\(561\) 1.97238e6 949846.i 0.264595 0.127422i
\(562\) −1.13480e6 + 1.51429e7i −0.151558 + 2.02241i
\(563\) −2.28091e6 + 703567.i −0.303275 + 0.0935480i −0.442658 0.896691i \(-0.645964\pi\)
0.139383 + 0.990239i \(0.455488\pi\)
\(564\) 1.80948e7 5.58152e6i 2.39528 0.738847i
\(565\) −25916.4 + 345830.i −0.00341549 + 0.0455765i
\(566\) 1.38496e7 6.66963e6i 1.81718 0.875105i
\(567\) 228257. 220499.i 0.0298172 0.0288038i
\(568\) −2.24503e7 1.08115e7i −2.91979 1.40610i
\(569\) −2.96698e6 + 5.13897e6i −0.384180 + 0.665419i −0.991655 0.128920i \(-0.958849\pi\)
0.607475 + 0.794339i \(0.292182\pi\)
\(570\) 1.47732e6 + 2.55880e6i 0.190453 + 0.329875i
\(571\) 10385.1 + 138579.i 0.00133297 + 0.0177872i 0.997831 0.0658335i \(-0.0209706\pi\)
−0.996498 + 0.0836207i \(0.973352\pi\)
\(572\) 4.07089e6 + 1.03725e7i 0.520234 + 1.32554i
\(573\) 1.02911e6 4.50883e6i 0.130941 0.573690i
\(574\) 606.218 1100.54i 7.67979e−5 0.000139421i
\(575\) −1.80803e6 7.92151e6i −0.228053 0.999167i
\(576\) −1.51505e7 + 1.03294e7i −1.90270 + 1.29724i
\(577\) −4.95328e6 + 4.59598e6i −0.619375 + 0.574696i −0.926183 0.377075i \(-0.876930\pi\)
0.306807 + 0.951772i \(0.400739\pi\)
\(578\) −7.39286e6 1.11429e6i −0.920434 0.138733i
\(579\) 6.79337e6 + 6.30332e6i 0.842149 + 0.781400i
\(580\) −1.24213e6 1.55758e6i −0.153319 0.192256i
\(581\) 1.06396e7 5.39002e6i 1.30763 0.662446i
\(582\) 8.00514e6 1.00381e7i 0.979629 1.22842i
\(583\) 1.00365e7 1.51276e6i 1.22296 0.184331i
\(584\) −3.28494e7 2.23963e7i −3.98561 2.71734i
\(585\) −346425. + 882676.i −0.0418523 + 0.106638i
\(586\) −4.05929e6 1.25213e6i −0.488322 0.150627i
\(587\) 1.25133e7 1.49892 0.749458 0.662052i \(-0.230314\pi\)
0.749458 + 0.662052i \(0.230314\pi\)
\(588\) −5.53652e6 1.25925e7i −0.660379 1.50200i
\(589\) −1.82507e7 −2.16766
\(590\) 4.31143e6 + 1.32990e6i 0.509907 + 0.157286i
\(591\) 2.04616e6 5.21353e6i 0.240974 0.613993i
\(592\) −3.32194e6 2.26486e6i −0.389572 0.265605i
\(593\) −4.93099e6 + 743227.i −0.575834 + 0.0867930i −0.430501 0.902590i \(-0.641663\pi\)
−0.145332 + 0.989383i \(0.546425\pi\)
\(594\) 6.90975e6 8.66455e6i 0.803519 1.00758i
\(595\) −879093. + 1.14902e6i −0.101799 + 0.133056i
\(596\) −9.73113e6 1.22024e7i −1.12214 1.40712i
\(597\) 3.73106e6 + 3.46192e6i 0.428447 + 0.397540i
\(598\) 1.39705e7 + 2.10572e6i 1.59757 + 0.240795i
\(599\) −4.04709e6 + 3.75515e6i −0.460867 + 0.427622i −0.876127 0.482081i \(-0.839881\pi\)
0.415260 + 0.909703i \(0.363691\pi\)
\(600\) −1.37947e7 + 9.40504e6i −1.56435 + 1.06655i
\(601\) −1.06917e6 4.68434e6i −0.120743 0.529008i −0.998733 0.0503291i \(-0.983973\pi\)
0.877990 0.478679i \(-0.158884\pi\)
\(602\) −1.26486e7 3.62463e6i −1.42250 0.407636i
\(603\) 581561. 2.54799e6i 0.0651332 0.285367i
\(604\) 6.04967e6 + 1.54143e7i 0.674744 + 1.71922i
\(605\) 84858.9 + 1.13236e6i 0.00942560 + 0.125776i
\(606\) 4.89373e6 + 8.47620e6i 0.541326 + 0.937604i
\(607\) −4.37199e6 + 7.57251e6i −0.481624 + 0.834197i −0.999778 0.0210908i \(-0.993286\pi\)
0.518154 + 0.855287i \(0.326619\pi\)
\(608\) 4.37105e7 + 2.10499e7i 4.79543 + 2.30936i
\(609\) −2.12350e6 276509.i −0.232011 0.0302110i
\(610\) 2.61194e6 1.25784e6i 0.284210 0.136868i
\(611\) 814258. 1.08655e7i 0.0882387 1.17746i
\(612\) 1.10300e7 3.40229e6i 1.19041 0.367192i
\(613\) 1.69746e6 523596.i 0.182451 0.0562788i −0.202183 0.979348i \(-0.564804\pi\)
0.384635 + 0.923069i \(0.374327\pi\)
\(614\) −1.03302e6 + 1.37847e7i −0.110583 + 1.47563i
\(615\) 97.9235 47.1575i 1.04400e−5 5.02762e-6i
\(616\) 1.09520e7 + 1.81178e7i 1.16290 + 1.92377i
\(617\) 7.91984e6 + 3.81400e6i 0.837536 + 0.403336i 0.802936 0.596065i \(-0.203270\pi\)
0.0346002 + 0.999401i \(0.488984\pi\)
\(618\) −7.46982e6 + 1.29381e7i −0.786754 + 1.36270i
\(619\) −4.00921e6 6.94415e6i −0.420564 0.728437i 0.575431 0.817850i \(-0.304834\pi\)
−0.995995 + 0.0894128i \(0.971501\pi\)
\(620\) 698792. + 9.32473e6i 0.0730077 + 0.974220i
\(621\) −3.75410e6 9.56529e6i −0.390640 0.995335i
\(622\) −1.87691e6 + 8.22328e6i −0.194521 + 0.852254i
\(623\) 298408. 5.45136e6i 0.0308028 0.562710i
\(624\) −3.71529e6 1.62778e7i −0.381972 1.67353i
\(625\) 6.77954e6 4.62221e6i 0.694225 0.473314i
\(626\) −1.93674e6 + 1.79703e6i −0.197531 + 0.183282i
\(627\) −5.58792e6 842244.i −0.567651 0.0855597i
\(628\) 7.62929e6 + 7.07894e6i 0.771942 + 0.716258i
\(629\) 569679. + 714354.i 0.0574121 + 0.0719925i
\(630\) −577836. + 2.78912e6i −0.0580034 + 0.279973i
\(631\) 594163. 745057.i 0.0594063 0.0744931i −0.751241 0.660028i \(-0.770544\pi\)
0.810647 + 0.585535i \(0.199116\pi\)
\(632\) −1.63445e7 + 2.46354e6i −1.62772 + 0.245339i
\(633\) 4.57478e6 + 3.11903e6i 0.453797 + 0.309393i
\(634\) −488072. + 1.24359e6i −0.0482238 + 0.122872i
\(635\) −3.42473e6 1.05639e6i −0.337048 0.103966i
\(636\) −3.05732e7 −2.99708
\(637\) −7.90885e6 + 318333.i −0.772262 + 0.0310837i
\(638\) 5.21058e6 0.506797
\(639\) 6.12711e6 + 1.88996e6i 0.593614 + 0.183106i
\(640\) 2.81673e6 7.17691e6i 0.271829 0.692608i
\(641\) 3.34774e6 + 2.28245e6i 0.321815 + 0.219410i 0.713442 0.700714i \(-0.247135\pi\)
−0.391627 + 0.920124i \(0.628088\pi\)
\(642\) 1.10623e6 166737.i 0.105927 0.0159659i
\(643\) −5.51125e6 + 6.91089e6i −0.525682 + 0.659184i −0.971805 0.235788i \(-0.924233\pi\)
0.446123 + 0.894972i \(0.352804\pi\)
\(644\) 3.10284e7 624197.i 2.94812 0.0593071i
\(645\) −709639. 889859.i −0.0671642 0.0842213i
\(646\) −1.51711e7 1.40767e7i −1.43033 1.32715i
\(647\) 9.87436e6 + 1.48832e6i 0.927360 + 0.139777i 0.595320 0.803488i \(-0.297025\pi\)
0.332040 + 0.943265i \(0.392263\pi\)
\(648\) 1.07851e6 1.00071e6i 0.100899 0.0936204i
\(649\) −7.12993e6 + 4.86111e6i −0.664468 + 0.453026i
\(650\) 3.37978e6 + 1.48078e7i 0.313766 + 1.37470i
\(651\) 7.50405e6 + 6.68697e6i 0.693974 + 0.618410i
\(652\) −1.60647e6 + 7.03840e6i −0.147997 + 0.648418i
\(653\) −5.46704e6 1.39298e7i −0.501729 1.27839i −0.927591 0.373597i \(-0.878124\pi\)
0.425862 0.904788i \(-0.359971\pi\)
\(654\) −941697. 1.25661e7i −0.0860928 1.14883i
\(655\) −1.51351e6 2.62148e6i −0.137843 0.238750i
\(656\) 1674.97 2901.14i 0.000151967 0.000263214i
\(657\) 9.21744e6 + 4.43888e6i 0.833099 + 0.401200i
\(658\) −3.10189e6 3.25829e7i −0.279294 2.93376i
\(659\) −2.22260e6 + 1.07035e6i −0.199365 + 0.0960091i −0.530902 0.847433i \(-0.678147\pi\)
0.331538 + 0.943442i \(0.392433\pi\)
\(660\) −216370. + 2.88725e6i −0.0193347 + 0.258003i
\(661\) −1.05028e7 + 3.23970e6i −0.934982 + 0.288404i −0.724564 0.689208i \(-0.757959\pi\)
−0.210418 + 0.977612i \(0.567482\pi\)
\(662\) −3.25470e7 + 1.00394e7i −2.88646 + 0.890355i
\(663\) −283552. + 3.78373e6i −0.0250523 + 0.334300i
\(664\) 4.98161e7 2.39902e7i 4.38480 2.11161i
\(665\) 3.54577e6 1.17233e6i 0.310926 0.102801i
\(666\) 1.62074e6 + 780508.i 0.141589 + 0.0681855i
\(667\) 2.41563e6 4.18399e6i 0.210240 0.364147i
\(668\) 1.73659e7 + 3.00785e7i 1.50576 + 2.60805i
\(669\) −236352. 3.15389e6i −0.0204171 0.272447i
\(670\) 877135. + 2.23490e6i 0.0754882 + 0.192341i
\(671\) −1.23381e6 + 5.40566e6i −0.105789 + 0.463492i
\(672\) −1.02597e7 2.46703e7i −0.876415 2.10742i
\(673\) 853035. + 3.73739e6i 0.0725988 + 0.318076i 0.998168 0.0605023i \(-0.0192702\pi\)
−0.925569 + 0.378578i \(0.876413\pi\)
\(674\) −1.59012e7 + 1.08412e7i −1.34828 + 0.919240i
\(675\) 8.09784e6 7.51369e6i 0.684084 0.634737i
\(676\) 1.28724e7 + 1.94020e6i 1.08341 + 0.163297i
\(677\) 6.80060e6 + 6.31004e6i 0.570264 + 0.529127i 0.911743 0.410762i \(-0.134737\pi\)
−0.341479 + 0.939889i \(0.610928\pi\)
\(678\) 1.70348e6 + 2.13610e6i 0.142319 + 0.178462i
\(679\) −1.03713e7 1.24817e7i −0.863293 1.03896i
\(680\) −4.18164e6 + 5.24361e6i −0.346796 + 0.434869i
\(681\) −7.41271e6 + 1.11729e6i −0.612505 + 0.0923202i
\(682\) −2.02072e7 1.37770e7i −1.66359 1.13421i
\(683\) −2.04921e6 + 5.22130e6i −0.168087 + 0.428279i −0.989952 0.141403i \(-0.954839\pi\)
0.821865 + 0.569683i \(0.192934\pi\)
\(684\) −2.84723e7 8.78255e6i −2.32693 0.717762i
\(685\) 286715. 0.0233466
\(686\) −2.32544e7 + 4.95510e6i −1.88666 + 0.402015i
\(687\) −2.21928e6 −0.179399
\(688\) −3.35222e7 1.03402e7i −2.69999 0.832836i
\(689\) −6.42710e6 + 1.63760e7i −0.515783 + 1.31419i
\(690\) 3.03324e6 + 2.06803e6i 0.242540 + 0.165361i
\(691\) 2.06174e7 3.10757e6i 1.64262 0.247585i 0.738312 0.674460i \(-0.235623\pi\)
0.904311 + 0.426874i \(0.140385\pi\)
\(692\) 1.60926e7 2.01795e7i 1.27750 1.60194i
\(693\) −3.48158e6 4.19003e6i −0.275387 0.331424i
\(694\) −1.17400e7 1.47215e7i −0.925275 1.16026i
\(695\) 2.07836e6 + 1.92844e6i 0.163214 + 0.151441i
\(696\) −9.81640e6 1.47958e6i −0.768121 0.115776i
\(697\) −558.068 + 517.812i −4.35116e−5 + 4.03729e-5i
\(698\) 3.30671e6 2.25448e6i 0.256896 0.175149i
\(699\) −481019. 2.10748e6i −0.0372365 0.163144i
\(700\) 1.28113e7 + 3.08059e7i 0.988208 + 2.37623i
\(701\) 680589. 2.98186e6i 0.0523106 0.229188i −0.942014 0.335572i \(-0.891070\pi\)
0.994325 + 0.106385i \(0.0339274\pi\)
\(702\) 7.01759e6 + 1.78805e7i 0.537459 + 1.36942i
\(703\) −176256. 2.35198e6i −0.0134511 0.179492i
\(704\) 1.61085e7 + 2.79008e7i 1.22497 + 2.12170i
\(705\) 1.41562e6 2.45193e6i 0.107269 0.185795i
\(706\) −4.33195e6 2.08616e6i −0.327094 0.157520i
\(707\) 1.17456e7 3.88342e6i 0.883744 0.292190i
\(708\) 2.34191e7 1.12781e7i 1.75585 0.845573i
\(709\) −1.66330e6 + 2.21952e7i −0.124267 + 1.65823i 0.491929 + 0.870635i \(0.336292\pi\)
−0.616196 + 0.787593i \(0.711327\pi\)
\(710\) −5.62858e6 + 1.73619e6i −0.419038 + 0.129256i
\(711\) 4.06437e6 1.25369e6i 0.301522 0.0930072i
\(712\) 1.89138e6 2.52387e7i 0.139823 1.86581i
\(713\) −2.04308e7 + 9.83894e6i −1.50508 + 0.724811i
\(714\) 1.08018e6 + 1.13464e7i 0.0792960 + 0.832940i
\(715\) 1.50102e6 + 722853.i 0.109805 + 0.0528792i
\(716\) 3.02567e7 5.24062e7i 2.20566 3.82032i
\(717\) 1.88092e6 + 3.25785e6i 0.136638 + 0.236665i
\(718\) 2.44729e6 + 3.26568e7i 0.177164 + 2.36408i
\(719\) −3.05142e6 7.77489e6i −0.220130 0.560883i 0.777560 0.628809i \(-0.216457\pi\)
−0.997690 + 0.0679260i \(0.978362\pi\)
\(720\) −1.68987e6 + 7.40379e6i −0.121485 + 0.532259i
\(721\) 1.40978e7 + 1.25627e7i 1.00998 + 0.900007i
\(722\) 5.87535e6 + 2.57416e7i 0.419460 + 1.83777i
\(723\) −4.42893e6 + 3.01960e6i −0.315104 + 0.214834i
\(724\) −3.04088e7 + 2.82153e7i −2.15602 + 2.00050i
\(725\) 5.13581e6 + 774099.i 0.362881 + 0.0546955i
\(726\) 6.55792e6 + 6.08486e6i 0.461769 + 0.428459i
\(727\) −1.03523e7 1.29814e7i −0.726442 0.910929i 0.272241 0.962229i \(-0.412235\pi\)
−0.998683 + 0.0512995i \(0.983664\pi\)
\(728\) −3.66864e7 + 738019.i −2.56553 + 0.0516106i
\(729\) 5.08675e6 6.37859e6i 0.354505 0.444535i
\(730\) −9.29321e6 + 1.40073e6i −0.645444 + 0.0972850i
\(731\) 6.58702e6 + 4.49096e6i 0.455927 + 0.310846i
\(732\) 6.10177e6 1.55471e7i 0.420899 1.07243i
\(733\) −1.09728e6 338467.i −0.0754325 0.0232678i 0.256809 0.966462i \(-0.417329\pi\)
−0.332242 + 0.943194i \(0.607805\pi\)
\(734\) 9.73367e6 0.666863
\(735\) −1.88743e6 817130.i −0.128870 0.0557921i
\(736\) 6.02797e7 4.10182
\(737\) −4.38788e6 1.35348e6i −0.297568 0.0917874i
\(738\) −547.589 + 1395.23i −3.70095e−5 + 9.42988e-5i
\(739\) 1.76809e7 + 1.20546e7i 1.19095 + 0.811975i 0.985991 0.166796i \(-0.0533422\pi\)
0.204957 + 0.978771i \(0.434295\pi\)
\(740\) −1.19493e6 + 180107.i −0.0802166 + 0.0120907i
\(741\) 6.10681e6 7.65770e6i 0.408572 0.512334i
\(742\) −1.07204e7 + 5.17455e7i −0.714827 + 3.45035i
\(743\) 4.02183e6 + 5.04321e6i 0.267271 + 0.335147i 0.897297 0.441427i \(-0.145527\pi\)
−0.630027 + 0.776574i \(0.716956\pi\)
\(744\) 3.41570e7 + 3.16931e7i 2.26229 + 2.09909i
\(745\) −2.30750e6 347800.i −0.152318 0.0229582i
\(746\) 5.68561e6 5.27548e6i 0.374051 0.347068i
\(747\) −1.17556e7 + 8.01483e6i −0.770803 + 0.525524i
\(748\) −4.51281e6 1.97719e7i −0.294912 1.29210i
\(749\) 77287.7 1.41190e6i 0.00503392 0.0919602i
\(750\) −1.80679e6 + 7.91605e6i −0.117288 + 0.513873i
\(751\) 1.03226e6 + 2.63015e6i 0.0667863 + 0.170169i 0.960370 0.278727i \(-0.0899126\pi\)
−0.893584 + 0.448896i \(0.851817\pi\)
\(752\) −6.52129e6 8.70205e7i −0.420522 5.61147i
\(753\) −5.97890e6 1.03558e7i −0.384267 0.665571i
\(754\) −4.51557e6 + 7.82120e6i −0.289257 + 0.501009i
\(755\) 2.23064e6 + 1.07422e6i 0.142417 + 0.0685843i
\(756\) 2.18274e7 + 3.61090e7i 1.38899 + 2.29779i
\(757\) −453299. + 218297.i −0.0287505 + 0.0138455i −0.448204 0.893931i \(-0.647936\pi\)
0.419453 + 0.907777i \(0.362222\pi\)
\(758\) −628531. + 8.38717e6i −0.0397332 + 0.530203i
\(759\) −6.70946e6 + 2.06959e6i −0.422749 + 0.130401i
\(760\) 1.65436e7 5.10302e6i 1.03895 0.320474i
\(761\)