Properties

Label 21.6.e.b.4.2
Level $21$
Weight $6$
Character 21.4
Analytic conductor $3.368$
Analytic rank $0$
Dimension $4$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [21,6,Mod(4,21)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(21, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([0, 4]))
 
N = Newforms(chi, 6, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("21.4");
 
S:= CuspForms(chi, 6);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 21 = 3 \cdot 7 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 21.e (of order \(3\), degree \(2\), 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: \(3.36806021607\)
Analytic rank: \(0\)
Dimension: \(4\)
Relative dimension: \(2\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\Q(\sqrt{-3}, \sqrt{-83})\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{4} - x^{3} - 20x^{2} - 21x + 441 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 3 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 4.2
Root \(-3.69493 - 2.71062i\) of defining polynomial
Character \(\chi\) \(=\) 21.4
Dual form 21.6.e.b.16.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(4.69493 + 8.13186i) q^{2} +(4.50000 - 7.79423i) q^{3} +(-28.0848 + 48.6443i) q^{4} +(35.8645 + 62.1192i) q^{5} +84.5088 q^{6} +(-87.5000 - 95.6596i) q^{7} -226.949 q^{8} +(-40.5000 - 70.1481i) q^{9} +O(q^{10})\) \(q+(4.69493 + 8.13186i) q^{2} +(4.50000 - 7.79423i) q^{3} +(-28.0848 + 48.6443i) q^{4} +(35.8645 + 62.1192i) q^{5} +84.5088 q^{6} +(-87.5000 - 95.6596i) q^{7} -226.949 q^{8} +(-40.5000 - 70.1481i) q^{9} +(-336.763 + 583.291i) q^{10} +(280.305 - 485.503i) q^{11} +(252.763 + 437.799i) q^{12} +533.509 q^{13} +(367.084 - 1160.65i) q^{14} +645.562 q^{15} +(-166.798 - 288.903i) q^{16} +(-502.850 + 870.962i) q^{17} +(380.290 - 658.681i) q^{18} +(-684.263 - 1185.18i) q^{19} -4028.99 q^{20} +(-1139.34 + 251.527i) q^{21} +5264.05 q^{22} +(-1614.04 - 2795.60i) q^{23} +(-1021.27 + 1768.90i) q^{24} +(-1010.03 + 1749.42i) q^{25} +(2504.79 + 4338.42i) q^{26} -729.000 q^{27} +(7110.71 - 1569.80i) q^{28} -753.456 q^{29} +(3030.87 + 5249.62i) q^{30} +(-4103.21 + 7106.97i) q^{31} +(-2064.97 + 3576.64i) q^{32} +(-2522.75 - 4369.52i) q^{33} -9443.39 q^{34} +(2804.15 - 8866.21i) q^{35} +4549.74 q^{36} +(1404.33 + 2432.37i) q^{37} +(6425.14 - 11128.7i) q^{38} +(2400.79 - 4158.29i) q^{39} +(-8139.43 - 14097.9i) q^{40} +245.827 q^{41} +(-7394.52 - 8084.07i) q^{42} -17504.5 q^{43} +(15744.6 + 27270.5i) q^{44} +(2905.03 - 5031.65i) q^{45} +(15155.6 - 26250.3i) q^{46} +(8172.74 + 14155.6i) q^{47} -3002.37 q^{48} +(-1494.50 + 16740.4i) q^{49} -18968.1 q^{50} +(4525.65 + 7838.66i) q^{51} +(-14983.5 + 25952.2i) q^{52} +(14820.8 - 25670.4i) q^{53} +(-3422.61 - 5928.13i) q^{54} +40212.0 q^{55} +(19858.1 + 21709.9i) q^{56} -12316.7 q^{57} +(-3537.43 - 6127.00i) q^{58} +(5178.05 - 8968.65i) q^{59} +(-18130.5 + 31402.9i) q^{60} +(-477.089 - 826.343i) q^{61} -77057.2 q^{62} +(-3166.58 + 10012.2i) q^{63} -49454.8 q^{64} +(19134.0 + 33141.1i) q^{65} +(23688.2 - 41029.2i) q^{66} +(9907.60 - 17160.5i) q^{67} +(-28244.9 - 48921.6i) q^{68} -29052.7 q^{69} +(85264.1 - 18823.3i) q^{70} +62125.4 q^{71} +(9191.45 + 15920.1i) q^{72} +(-13554.8 + 23477.6i) q^{73} +(-13186.5 + 22839.7i) q^{74} +(9090.27 + 15744.8i) q^{75} +76869.6 q^{76} +(-70969.7 + 15667.6i) q^{77} +45086.2 q^{78} +(-22343.7 - 38700.4i) q^{79} +(11964.3 - 20722.8i) q^{80} +(-3280.50 + 5681.99i) q^{81} +(1154.14 + 1999.03i) q^{82} +15606.6 q^{83} +(19762.8 - 62486.6i) q^{84} -72137.9 q^{85} +(-82182.5 - 142344. i) q^{86} +(-3390.55 + 5872.61i) q^{87} +(-63615.0 + 110184. i) q^{88} +(-6817.66 - 11808.5i) q^{89} +54555.6 q^{90} +(-46682.0 - 51035.2i) q^{91} +181320. q^{92} +(36928.9 + 63962.7i) q^{93} +(-76740.9 + 132919. i) q^{94} +(49081.6 - 85011.8i) q^{95} +(18584.8 + 32189.8i) q^{96} -12919.5 q^{97} +(-143147. + 66442.1i) q^{98} -45409.4 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4 q + 3 q^{2} + 18 q^{3} - 65 q^{4} + 33 q^{5} + 54 q^{6} - 350 q^{7} - 750 q^{8} - 162 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4 q + 3 q^{2} + 18 q^{3} - 65 q^{4} + 33 q^{5} + 54 q^{6} - 350 q^{7} - 750 q^{8} - 162 q^{9} - 921 q^{10} + 1137 q^{11} + 585 q^{12} + 1850 q^{13} + 2352 q^{14} + 594 q^{15} + 895 q^{16} + 324 q^{17} + 243 q^{18} - 2311 q^{19} - 7374 q^{20} - 1575 q^{21} + 3162 q^{22} - 1596 q^{23} - 3375 q^{24} - 395 q^{25} + 2508 q^{26} - 2916 q^{27} + 13531 q^{28} - 4434 q^{29} + 8289 q^{30} - 4294 q^{31} - 1017 q^{32} - 10233 q^{33} - 35880 q^{34} + 15414 q^{35} + 10530 q^{36} + 19109 q^{37} + 6828 q^{38} + 8325 q^{39} - 10545 q^{40} - 25716 q^{41} - 4725 q^{42} - 5542 q^{43} + 36579 q^{44} + 2673 q^{45} + 40740 q^{46} + 23160 q^{47} + 16110 q^{48} - 5978 q^{49} - 58704 q^{50} - 2916 q^{51} - 33424 q^{52} + 31653 q^{53} - 2187 q^{54} + 35778 q^{55} + 65625 q^{56} - 41598 q^{57} + 2277 q^{58} - 41097 q^{59} - 33183 q^{60} - 42052 q^{61} - 204114 q^{62} + 14175 q^{63} - 60062 q^{64} + 23106 q^{65} + 14229 q^{66} - 30763 q^{67} - 44748 q^{68} - 28728 q^{69} + 151179 q^{70} + 204192 q^{71} + 30375 q^{72} + 28577 q^{73} + 77784 q^{74} + 3555 q^{75} + 170384 q^{76} - 96873 q^{77} + 45144 q^{78} + 18464 q^{79} + 71511 q^{80} - 13122 q^{81} + 86040 q^{82} + 122358 q^{83} + 19404 q^{84} - 247272 q^{85} - 258510 q^{86} - 19953 q^{87} - 212565 q^{88} - 29322 q^{89} + 149202 q^{90} - 161875 q^{91} + 333816 q^{92} + 38646 q^{93} - 109938 q^{94} + 61662 q^{95} + 9153 q^{96} - 19582 q^{97} - 462021 q^{98} - 184194 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).

\(n\) \(8\) \(10\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 4.69493 + 8.13186i 0.829955 + 1.43752i 0.898073 + 0.439847i \(0.144967\pi\)
−0.0681181 + 0.997677i \(0.521699\pi\)
\(3\) 4.50000 7.79423i 0.288675 0.500000i
\(4\) −28.0848 + 48.6443i −0.877650 + 1.52013i
\(5\) 35.8645 + 62.1192i 0.641564 + 1.11122i 0.985084 + 0.172076i \(0.0550476\pi\)
−0.343519 + 0.939146i \(0.611619\pi\)
\(6\) 84.5088 0.958349
\(7\) −87.5000 95.6596i −0.674937 0.737876i
\(8\) −226.949 −1.25373
\(9\) −40.5000 70.1481i −0.166667 0.288675i
\(10\) −336.763 + 583.291i −1.06494 + 1.84453i
\(11\) 280.305 485.503i 0.698472 1.20979i −0.270524 0.962713i \(-0.587197\pi\)
0.968996 0.247076i \(-0.0794698\pi\)
\(12\) 252.763 + 437.799i 0.506711 + 0.877650i
\(13\) 533.509 0.875555 0.437777 0.899083i \(-0.355766\pi\)
0.437777 + 0.899083i \(0.355766\pi\)
\(14\) 367.084 1160.65i 0.500547 1.58264i
\(15\) 645.562 0.740815
\(16\) −166.798 288.903i −0.162889 0.282132i
\(17\) −502.850 + 870.962i −0.422004 + 0.730932i −0.996135 0.0878311i \(-0.972006\pi\)
0.574132 + 0.818763i \(0.305340\pi\)
\(18\) 380.290 658.681i 0.276652 0.479175i
\(19\) −684.263 1185.18i −0.434850 0.753182i 0.562434 0.826842i \(-0.309865\pi\)
−0.997283 + 0.0736606i \(0.976532\pi\)
\(20\) −4028.99 −2.25228
\(21\) −1139.34 + 251.527i −0.563775 + 0.124462i
\(22\) 5264.05 2.31880
\(23\) −1614.04 2795.60i −0.636201 1.10193i −0.986259 0.165205i \(-0.947171\pi\)
0.350058 0.936728i \(-0.386162\pi\)
\(24\) −1021.27 + 1768.90i −0.361921 + 0.626865i
\(25\) −1010.03 + 1749.42i −0.323209 + 0.559815i
\(26\) 2504.79 + 4338.42i 0.726671 + 1.25863i
\(27\) −729.000 −0.192450
\(28\) 7110.71 1569.80i 1.71403 0.378398i
\(29\) −753.456 −0.166365 −0.0831827 0.996534i \(-0.526508\pi\)
−0.0831827 + 0.996534i \(0.526508\pi\)
\(30\) 3030.87 + 5249.62i 0.614843 + 1.06494i
\(31\) −4103.21 + 7106.97i −0.766866 + 1.32825i 0.172389 + 0.985029i \(0.444852\pi\)
−0.939254 + 0.343222i \(0.888482\pi\)
\(32\) −2064.97 + 3576.64i −0.356484 + 0.617448i
\(33\) −2522.75 4369.52i −0.403263 0.698472i
\(34\) −9443.39 −1.40098
\(35\) 2804.15 8866.21i 0.386929 1.22340i
\(36\) 4549.74 0.585100
\(37\) 1404.33 + 2432.37i 0.168642 + 0.292096i 0.937943 0.346791i \(-0.112729\pi\)
−0.769301 + 0.638887i \(0.779395\pi\)
\(38\) 6425.14 11128.7i 0.721811 1.25021i
\(39\) 2400.79 4158.29i 0.252751 0.437777i
\(40\) −8139.43 14097.9i −0.804348 1.39317i
\(41\) 245.827 0.0228387 0.0114193 0.999935i \(-0.496365\pi\)
0.0114193 + 0.999935i \(0.496365\pi\)
\(42\) −7394.52 8084.07i −0.646825 0.707143i
\(43\) −17504.5 −1.44371 −0.721853 0.692047i \(-0.756709\pi\)
−0.721853 + 0.692047i \(0.756709\pi\)
\(44\) 15744.6 + 27270.5i 1.22603 + 2.12354i
\(45\) 2905.03 5031.65i 0.213855 0.370407i
\(46\) 15155.6 26250.3i 1.05604 1.82911i
\(47\) 8172.74 + 14155.6i 0.539663 + 0.934725i 0.998922 + 0.0464219i \(0.0147819\pi\)
−0.459258 + 0.888303i \(0.651885\pi\)
\(48\) −3002.37 −0.188088
\(49\) −1494.50 + 16740.4i −0.0889213 + 0.996039i
\(50\) −18968.1 −1.07300
\(51\) 4525.65 + 7838.66i 0.243644 + 0.422004i
\(52\) −14983.5 + 25952.2i −0.768430 + 1.33096i
\(53\) 14820.8 25670.4i 0.724741 1.25529i −0.234340 0.972155i \(-0.575293\pi\)
0.959081 0.283133i \(-0.0913739\pi\)
\(54\) −3422.61 5928.13i −0.159725 0.276652i
\(55\) 40212.0 1.79246
\(56\) 19858.1 + 21709.9i 0.846188 + 0.925097i
\(57\) −12316.7 −0.502121
\(58\) −3537.43 6127.00i −0.138076 0.239154i
\(59\) 5178.05 8968.65i 0.193659 0.335426i −0.752801 0.658248i \(-0.771298\pi\)
0.946460 + 0.322821i \(0.104631\pi\)
\(60\) −18130.5 + 31402.9i −0.650176 + 1.12614i
\(61\) −477.089 826.343i −0.0164163 0.0284339i 0.857701 0.514150i \(-0.171892\pi\)
−0.874117 + 0.485716i \(0.838559\pi\)
\(62\) −77057.2 −2.54586
\(63\) −3166.58 + 10012.2i −0.100517 + 0.317817i
\(64\) −49454.8 −1.50924
\(65\) 19134.0 + 33141.1i 0.561725 + 0.972935i
\(66\) 23688.2 41029.2i 0.669380 1.15940i
\(67\) 9907.60 17160.5i 0.269638 0.467027i −0.699130 0.714994i \(-0.746429\pi\)
0.968768 + 0.247967i \(0.0797626\pi\)
\(68\) −28244.9 48921.6i −0.740743 1.28300i
\(69\) −29052.7 −0.734622
\(70\) 85264.1 18823.3i 2.07980 0.459147i
\(71\) 62125.4 1.46259 0.731296 0.682060i \(-0.238916\pi\)
0.731296 + 0.682060i \(0.238916\pi\)
\(72\) 9191.45 + 15920.1i 0.208955 + 0.361921i
\(73\) −13554.8 + 23477.6i −0.297705 + 0.515641i −0.975611 0.219509i \(-0.929555\pi\)
0.677905 + 0.735149i \(0.262888\pi\)
\(74\) −13186.5 + 22839.7i −0.279930 + 0.484853i
\(75\) 9090.27 + 15744.8i 0.186605 + 0.323209i
\(76\) 76869.6 1.52658
\(77\) −70969.7 + 15667.6i −1.36410 + 0.301145i
\(78\) 45086.2 0.839087
\(79\) −22343.7 38700.4i −0.402798 0.697666i 0.591265 0.806477i \(-0.298629\pi\)
−0.994062 + 0.108812i \(0.965295\pi\)
\(80\) 11964.3 20722.8i 0.209008 0.362012i
\(81\) −3280.50 + 5681.99i −0.0555556 + 0.0962250i
\(82\) 1154.14 + 1999.03i 0.0189551 + 0.0328311i
\(83\) 15606.6 0.248665 0.124332 0.992241i \(-0.460321\pi\)
0.124332 + 0.992241i \(0.460321\pi\)
\(84\) 19762.8 62486.6i 0.305599 0.966248i
\(85\) −72137.9 −1.08297
\(86\) −82182.5 142344.i −1.19821 2.07536i
\(87\) −3390.55 + 5872.61i −0.0480255 + 0.0831827i
\(88\) −63615.0 + 110184.i −0.875696 + 1.51675i
\(89\) −6817.66 11808.5i −0.0912347 0.158023i 0.816796 0.576926i \(-0.195748\pi\)
−0.908031 + 0.418903i \(0.862415\pi\)
\(90\) 54555.6 0.709959
\(91\) −46682.0 51035.2i −0.590944 0.646050i
\(92\) 181320. 2.23345
\(93\) 36928.9 + 63962.7i 0.442750 + 0.766866i
\(94\) −76740.9 + 132919.i −0.895793 + 1.55156i
\(95\) 49081.6 85011.8i 0.557968 0.966429i
\(96\) 18584.8 + 32189.8i 0.205816 + 0.356484i
\(97\) −12919.5 −0.139417 −0.0697086 0.997567i \(-0.522207\pi\)
−0.0697086 + 0.997567i \(0.522207\pi\)
\(98\) −143147. + 66442.1i −1.50563 + 0.698841i
\(99\) −45409.4 −0.465648
\(100\) −56733.0 98264.4i −0.567330 0.982644i
\(101\) −12571.5 + 21774.4i −0.122626 + 0.212394i −0.920802 0.390029i \(-0.872465\pi\)
0.798177 + 0.602424i \(0.205798\pi\)
\(102\) −42495.3 + 73604.0i −0.404427 + 0.700488i
\(103\) 80376.6 + 139216.i 0.746511 + 1.29300i 0.949485 + 0.313811i \(0.101606\pi\)
−0.202974 + 0.979184i \(0.565061\pi\)
\(104\) −121079. −1.09771
\(105\) −56486.6 61754.1i −0.500003 0.546629i
\(106\) 278331. 2.40601
\(107\) 47187.8 + 81731.6i 0.398446 + 0.690129i 0.993534 0.113531i \(-0.0362162\pi\)
−0.595088 + 0.803661i \(0.702883\pi\)
\(108\) 20473.8 35461.7i 0.168904 0.292550i
\(109\) 41696.7 72220.9i 0.336152 0.582233i −0.647553 0.762020i \(-0.724208\pi\)
0.983705 + 0.179788i \(0.0575410\pi\)
\(110\) 188793. + 326999.i 1.48766 + 2.57670i
\(111\) 25278.0 0.194731
\(112\) −13041.5 + 41234.9i −0.0982387 + 0.310613i
\(113\) −179254. −1.32060 −0.660301 0.751001i \(-0.729571\pi\)
−0.660301 + 0.751001i \(0.729571\pi\)
\(114\) −57826.3 100158.i −0.416738 0.721811i
\(115\) 115774. 200526.i 0.816328 1.41392i
\(116\) 21160.7 36651.3i 0.146011 0.252898i
\(117\) −21607.1 37424.6i −0.145926 0.252751i
\(118\) 97242.5 0.642911
\(119\) 127315. 28106.8i 0.824163 0.181946i
\(120\) −146510. −0.928781
\(121\) −76616.4 132703.i −0.475727 0.823984i
\(122\) 4479.80 7759.25i 0.0272496 0.0471976i
\(123\) 1106.22 1916.04i 0.00659295 0.0114193i
\(124\) −230476. 399195.i −1.34608 2.33148i
\(125\) 79256.4 0.453690
\(126\) −96284.5 + 21256.2i −0.540294 + 0.119278i
\(127\) −143674. −0.790440 −0.395220 0.918586i \(-0.629332\pi\)
−0.395220 + 0.918586i \(0.629332\pi\)
\(128\) −166108. 287707.i −0.896117 1.55212i
\(129\) −78770.2 + 136434.i −0.416762 + 0.721853i
\(130\) −179666. + 311191.i −0.932412 + 1.61498i
\(131\) −26144.9 45284.3i −0.133110 0.230553i 0.791764 0.610827i \(-0.209163\pi\)
−0.924874 + 0.380274i \(0.875830\pi\)
\(132\) 283403. 1.41570
\(133\) −53500.6 + 169159.i −0.262259 + 0.829215i
\(134\) 186062. 0.895150
\(135\) −26145.2 45284.9i −0.123469 0.213855i
\(136\) 114122. 197664.i 0.529079 0.916391i
\(137\) −4705.05 + 8149.39i −0.0214172 + 0.0370957i −0.876535 0.481337i \(-0.840151\pi\)
0.855118 + 0.518433i \(0.173484\pi\)
\(138\) −136401. 236253.i −0.609703 1.05604i
\(139\) 183094. 0.803781 0.401890 0.915688i \(-0.368353\pi\)
0.401890 + 0.915688i \(0.368353\pi\)
\(140\) 352537. + 385412.i 1.52014 + 1.66190i
\(141\) 147109. 0.623150
\(142\) 291674. + 505195.i 1.21389 + 2.10251i
\(143\) 149545. 259020.i 0.611551 1.05924i
\(144\) −13510.7 + 23401.2i −0.0542964 + 0.0940441i
\(145\) −27022.3 46804.1i −0.106734 0.184869i
\(146\) −254556. −0.988328
\(147\) 123753. + 86980.4i 0.472350 + 0.331992i
\(148\) −157762. −0.592034
\(149\) 83500.8 + 144628.i 0.308123 + 0.533685i 0.977952 0.208830i \(-0.0669657\pi\)
−0.669828 + 0.742516i \(0.733632\pi\)
\(150\) −85356.4 + 147842.i −0.309748 + 0.536499i
\(151\) −188132. + 325855.i −0.671461 + 1.16300i 0.306029 + 0.952022i \(0.401000\pi\)
−0.977490 + 0.210982i \(0.932334\pi\)
\(152\) 155293. + 268976.i 0.545184 + 0.944286i
\(153\) 81461.7 0.281336
\(154\) −460605. 503557.i −1.56504 1.71099i
\(155\) −588639. −1.96797
\(156\) 134851. + 233569.i 0.443654 + 0.768430i
\(157\) −19537.5 + 33840.0i −0.0632587 + 0.109567i −0.895920 0.444215i \(-0.853483\pi\)
0.832662 + 0.553782i \(0.186816\pi\)
\(158\) 209804. 363391.i 0.668608 1.15806i
\(159\) −133387. 231034.i −0.418429 0.724741i
\(160\) −296237. −0.914829
\(161\) −126197. + 399013.i −0.383694 + 1.21317i
\(162\) −61606.9 −0.184434
\(163\) 238959. + 413890.i 0.704458 + 1.22016i 0.966887 + 0.255206i \(0.0821433\pi\)
−0.262428 + 0.964951i \(0.584523\pi\)
\(164\) −6904.01 + 11958.1i −0.0200444 + 0.0347178i
\(165\) 180954. 313422.i 0.517439 0.896230i
\(166\) 73272.1 + 126911.i 0.206381 + 0.357462i
\(167\) 39793.4 0.110413 0.0552064 0.998475i \(-0.482418\pi\)
0.0552064 + 0.998475i \(0.482418\pi\)
\(168\) 258573. 57083.9i 0.706822 0.156042i
\(169\) −86661.4 −0.233404
\(170\) −338683. 586616.i −0.898816 1.55680i
\(171\) −55425.3 + 95999.5i −0.144950 + 0.251061i
\(172\) 491610. 851494.i 1.26707 2.19463i
\(173\) −24169.1 41862.1i −0.0613968 0.106342i 0.833693 0.552228i \(-0.186222\pi\)
−0.895090 + 0.445886i \(0.852889\pi\)
\(174\) −63673.7 −0.159436
\(175\) 255727. 56455.5i 0.631220 0.139351i
\(176\) −187018. −0.455094
\(177\) −46602.5 80717.9i −0.111809 0.193659i
\(178\) 64016.9 110881.i 0.151441 0.262304i
\(179\) 71455.3 123764.i 0.166687 0.288711i −0.770566 0.637360i \(-0.780026\pi\)
0.937253 + 0.348650i \(0.113360\pi\)
\(180\) 163174. + 282626.i 0.375379 + 0.650176i
\(181\) −77245.3 −0.175257 −0.0876285 0.996153i \(-0.527929\pi\)
−0.0876285 + 0.996153i \(0.527929\pi\)
\(182\) 195842. 619219.i 0.438256 1.38569i
\(183\) −8587.61 −0.0189559
\(184\) 366305. + 634459.i 0.797625 + 1.38153i
\(185\) −100731. + 174472.i −0.216389 + 0.374797i
\(186\) −346757. + 600601.i −0.734925 + 1.27293i
\(187\) 281903. + 488270.i 0.589516 + 1.02107i
\(188\) −918119. −1.89454
\(189\) 63787.5 + 69735.8i 0.129892 + 0.142004i
\(190\) 921739. 1.85235
\(191\) −136027. 235606.i −0.269800 0.467307i 0.699010 0.715112i \(-0.253624\pi\)
−0.968810 + 0.247805i \(0.920291\pi\)
\(192\) −222546. + 385462.i −0.435680 + 0.754620i
\(193\) 8016.89 13885.7i 0.0154922 0.0268333i −0.858175 0.513357i \(-0.828402\pi\)
0.873668 + 0.486523i \(0.161735\pi\)
\(194\) −60656.2 105060.i −0.115710 0.200415i
\(195\) 344413. 0.648624
\(196\) −772353. 542850.i −1.43607 1.00935i
\(197\) 1.03228e6 1.89510 0.947552 0.319603i \(-0.103549\pi\)
0.947552 + 0.319603i \(0.103549\pi\)
\(198\) −213194. 369263.i −0.386467 0.669380i
\(199\) 440868. 763606.i 0.789180 1.36690i −0.137290 0.990531i \(-0.543839\pi\)
0.926470 0.376369i \(-0.122827\pi\)
\(200\) 229226. 397030.i 0.405217 0.701857i
\(201\) −89168.4 154444.i −0.155676 0.269638i
\(202\) −236089. −0.407096
\(203\) 65927.4 + 72075.3i 0.112286 + 0.122757i
\(204\) −508408. −0.855337
\(205\) 8816.49 + 15270.6i 0.0146525 + 0.0253788i
\(206\) −754725. + 1.30722e6i −1.23914 + 2.14626i
\(207\) −130737. + 226443.i −0.212067 + 0.367311i
\(208\) −88988.4 154132.i −0.142618 0.247022i
\(209\) −767210. −1.21492
\(210\) 236975. 749273.i 0.370813 1.17244i
\(211\) −372813. −0.576480 −0.288240 0.957558i \(-0.593070\pi\)
−0.288240 + 0.957558i \(0.593070\pi\)
\(212\) 832480. + 1.44190e6i 1.27214 + 2.20341i
\(213\) 279564. 484219.i 0.422214 0.731296i
\(214\) −443087. + 767449.i −0.661385 + 1.14555i
\(215\) −627791. 1.08737e6i −0.926230 1.60428i
\(216\) 165446. 0.241280
\(217\) 1.03888e6 229348.i 1.49767 0.330633i
\(218\) 783054. 1.11596
\(219\) 121993. + 211299.i 0.171880 + 0.297705i
\(220\) −1.12935e6 + 1.95609e6i −1.57315 + 2.72478i
\(221\) −268275. + 464666.i −0.369487 + 0.639971i
\(222\) 118678. + 205557.i 0.161618 + 0.279930i
\(223\) −1.08205e6 −1.45708 −0.728541 0.685002i \(-0.759801\pi\)
−0.728541 + 0.685002i \(0.759801\pi\)
\(224\) 522825. 115422.i 0.696204 0.153697i
\(225\) 163625. 0.215473
\(226\) −841584. 1.45767e6i −1.09604 1.89840i
\(227\) −276524. + 478954.i −0.356179 + 0.616921i −0.987319 0.158748i \(-0.949254\pi\)
0.631140 + 0.775669i \(0.282587\pi\)
\(228\) 345913. 599139.i 0.440687 0.763292i
\(229\) −261512. 452952.i −0.329536 0.570773i 0.652884 0.757458i \(-0.273559\pi\)
−0.982420 + 0.186685i \(0.940226\pi\)
\(230\) 2.17420e6 2.71006
\(231\) −197246. + 623658.i −0.243209 + 0.768983i
\(232\) 170996. 0.208577
\(233\) 182090. + 315390.i 0.219734 + 0.380590i 0.954727 0.297485i \(-0.0961477\pi\)
−0.734993 + 0.678075i \(0.762814\pi\)
\(234\) 202888. 351412.i 0.242224 0.419544i
\(235\) −586223. + 1.01537e6i −0.692458 + 1.19937i
\(236\) 290849. + 503766.i 0.339929 + 0.588774i
\(237\) −402186. −0.465111
\(238\) 826297. + 903351.i 0.945570 + 1.03375i
\(239\) 371841. 0.421078 0.210539 0.977585i \(-0.432478\pi\)
0.210539 + 0.977585i \(0.432478\pi\)
\(240\) −107679. 186505.i −0.120671 0.209008i
\(241\) 855737. 1.48218e6i 0.949069 1.64384i 0.201678 0.979452i \(-0.435360\pi\)
0.747391 0.664384i \(-0.231306\pi\)
\(242\) 719417. 1.24607e6i 0.789664 1.36774i
\(243\) 29524.5 + 51137.9i 0.0320750 + 0.0555556i
\(244\) 53595.8 0.0576310
\(245\) −1.09350e6 + 507550.i −1.16387 + 0.540212i
\(246\) 20774.6 0.0218874
\(247\) −365060. 632303.i −0.380735 0.659452i
\(248\) 931221. 1.61292e6i 0.961443 1.66527i
\(249\) 70229.9 121642.i 0.0717833 0.124332i
\(250\) 372103. + 644502.i 0.376542 + 0.652190i
\(251\) 58134.1 0.0582434 0.0291217 0.999576i \(-0.490729\pi\)
0.0291217 + 0.999576i \(0.490729\pi\)
\(252\) −398102. 435226.i −0.394905 0.431731i
\(253\) −1.80969e6 −1.77748
\(254\) −674540. 1.16834e6i −0.656030 1.13628i
\(255\) −324621. + 562260.i −0.312627 + 0.541485i
\(256\) 768453. 1.33100e6i 0.732853 1.26934i
\(257\) 155920. + 270061.i 0.147254 + 0.255052i 0.930212 0.367023i \(-0.119623\pi\)
−0.782957 + 0.622075i \(0.786290\pi\)
\(258\) −1.47928e6 −1.38357
\(259\) 109801. 347171.i 0.101708 0.321583i
\(260\) −2.14950e6 −1.97199
\(261\) 30515.0 + 52853.5i 0.0277276 + 0.0480255i
\(262\) 245497. 425214.i 0.220950 0.382696i
\(263\) −431983. + 748216.i −0.385103 + 0.667018i −0.991783 0.127928i \(-0.959167\pi\)
0.606681 + 0.794946i \(0.292501\pi\)
\(264\) 572535. + 991660.i 0.505583 + 0.875696i
\(265\) 2.12617e6 1.85987
\(266\) −1.62676e6 + 359133.i −1.40968 + 0.311208i
\(267\) −122718. −0.105349
\(268\) 556506. + 963896.i 0.473296 + 0.819773i
\(269\) 560346. 970548.i 0.472145 0.817779i −0.527347 0.849650i \(-0.676813\pi\)
0.999492 + 0.0318707i \(0.0101465\pi\)
\(270\) 245500. 425219.i 0.204948 0.354980i
\(271\) −570058. 987369.i −0.471515 0.816688i 0.527954 0.849273i \(-0.322959\pi\)
−0.999469 + 0.0325848i \(0.989626\pi\)
\(272\) 335498. 0.274959
\(273\) −607849. + 134192.i −0.493616 + 0.108973i
\(274\) −88359.6 −0.0711013
\(275\) 566233. + 980744.i 0.451506 + 0.782031i
\(276\) 815940. 1.41325e6i 0.644741 1.11672i
\(277\) 994005. 1.72167e6i 0.778375 1.34819i −0.154502 0.987992i \(-0.549377\pi\)
0.932878 0.360193i \(-0.117289\pi\)
\(278\) 859615. + 1.48890e6i 0.667102 + 1.15545i
\(279\) 664720. 0.511244
\(280\) −636399. + 2.01218e6i −0.485104 + 1.53381i
\(281\) 532321. 0.402168 0.201084 0.979574i \(-0.435554\pi\)
0.201084 + 0.979574i \(0.435554\pi\)
\(282\) 690668. + 1.19627e6i 0.517186 + 0.895793i
\(283\) −1.31237e6 + 2.27308e6i −0.974067 + 1.68713i −0.291087 + 0.956697i \(0.594017\pi\)
−0.682980 + 0.730437i \(0.739316\pi\)
\(284\) −1.74478e6 + 3.02205e6i −1.28364 + 2.22334i
\(285\) −441734. 765106.i −0.322143 0.557968i
\(286\) 2.80842e6 2.03024
\(287\) −21509.9 23515.7i −0.0154146 0.0168521i
\(288\) 334526. 0.237656
\(289\) 204212. + 353705.i 0.143826 + 0.249113i
\(290\) 253736. 439484.i 0.177169 0.306866i
\(291\) −58137.7 + 100697.i −0.0402463 + 0.0697086i
\(292\) −761369. 1.31873e6i −0.522562 0.905104i
\(293\) 609962. 0.415082 0.207541 0.978226i \(-0.433454\pi\)
0.207541 + 0.978226i \(0.433454\pi\)
\(294\) −126298. + 1.41471e6i −0.0852176 + 0.954553i
\(295\) 742834. 0.496978
\(296\) −318712. 552026.i −0.211431 0.366210i
\(297\) −204342. + 353931.i −0.134421 + 0.232824i
\(298\) −784061. + 1.35803e6i −0.511457 + 0.885870i
\(299\) −861104. 1.49148e6i −0.557029 0.964802i
\(300\) −1.02119e6 −0.655096
\(301\) 1.53164e6 + 1.67447e6i 0.974409 + 1.06528i
\(302\) −3.53307e6 −2.22913
\(303\) 113143. + 195970.i 0.0707981 + 0.122626i
\(304\) −228268. + 395372.i −0.141665 + 0.245370i
\(305\) 34221.2 59272.8i 0.0210642 0.0364843i
\(306\) 382457. + 662436.i 0.233496 + 0.404427i
\(307\) −1.34843e6 −0.816551 −0.408275 0.912859i \(-0.633870\pi\)
−0.408275 + 0.912859i \(0.633870\pi\)
\(308\) 1.23103e6 3.89229e6i 0.739420 2.33791i
\(309\) 1.44678e6 0.861997
\(310\) −2.76362e6 4.78673e6i −1.63333 2.82901i
\(311\) 1.66530e6 2.88439e6i 0.976320 1.69104i 0.300813 0.953683i \(-0.402742\pi\)
0.675507 0.737353i \(-0.263925\pi\)
\(312\) −544858. + 943721.i −0.316881 + 0.548854i
\(313\) 1.41835e6 + 2.45666e6i 0.818320 + 1.41737i 0.906919 + 0.421305i \(0.138428\pi\)
−0.0885991 + 0.996067i \(0.528239\pi\)
\(314\) −366909. −0.210007
\(315\) −735516. + 162376.i −0.417653 + 0.0922032i
\(316\) 2.51007e6 1.41406
\(317\) 544195. + 942574.i 0.304163 + 0.526826i 0.977075 0.212897i \(-0.0682899\pi\)
−0.672912 + 0.739723i \(0.734957\pi\)
\(318\) 1.25249e6 2.16938e6i 0.694555 1.20300i
\(319\) −211198. + 365805.i −0.116202 + 0.201267i
\(320\) −1.77367e6 3.07209e6i −0.968274 1.67710i
\(321\) 849380. 0.460086
\(322\) −3.83721e6 + 847122.i −2.06241 + 0.455309i
\(323\) 1.37633e6 0.734033
\(324\) −184264. 319155.i −0.0975167 0.168904i
\(325\) −538860. + 933332.i −0.282988 + 0.490149i
\(326\) −2.24380e6 + 3.88637e6i −1.16934 + 2.02535i
\(327\) −375271. 649988.i −0.194078 0.336152i
\(328\) −55790.4 −0.0286335
\(329\) 639004. 2.02042e6i 0.325472 1.02908i
\(330\) 3.39827e6 1.71780
\(331\) −652773. 1.13064e6i −0.327485 0.567221i 0.654527 0.756039i \(-0.272868\pi\)
−0.982012 + 0.188817i \(0.939535\pi\)
\(332\) −438309. + 759174.i −0.218241 + 0.378004i
\(333\) 113751. 197022.i 0.0562140 0.0973654i
\(334\) 186827. + 323594.i 0.0916376 + 0.158721i
\(335\) 1.42133e6 0.691961
\(336\) 262707. + 287206.i 0.126948 + 0.138786i
\(337\) −3.17016e6 −1.52057 −0.760285 0.649590i \(-0.774941\pi\)
−0.760285 + 0.649590i \(0.774941\pi\)
\(338\) −406869. 704718.i −0.193715 0.335524i
\(339\) −806641. + 1.39714e6i −0.381225 + 0.660301i
\(340\) 2.02598e6 3.50910e6i 0.950469 1.64626i
\(341\) 2.30030e6 + 3.98424e6i 1.07127 + 1.85549i
\(342\) −1.04087e6 −0.481207
\(343\) 1.73215e6 1.32182e6i 0.794969 0.606650i
\(344\) 3.97263e6 1.81002
\(345\) −1.04196e6 1.80473e6i −0.471307 0.816328i
\(346\) 226945. 393080.i 0.101913 0.176519i
\(347\) 857958. 1.48603e6i 0.382510 0.662526i −0.608911 0.793239i \(-0.708393\pi\)
0.991420 + 0.130713i \(0.0417265\pi\)
\(348\) −190446. 329862.i −0.0842992 0.146011i
\(349\) −2.95822e6 −1.30007 −0.650034 0.759905i \(-0.725245\pi\)
−0.650034 + 0.759905i \(0.725245\pi\)
\(350\) 1.65971e6 + 1.81448e6i 0.724205 + 0.791739i
\(351\) −388928. −0.168501
\(352\) 1.15765e6 + 2.00510e6i 0.497988 + 0.862541i
\(353\) −1.88490e6 + 3.26474e6i −0.805103 + 1.39448i 0.111119 + 0.993807i \(0.464557\pi\)
−0.916222 + 0.400672i \(0.868777\pi\)
\(354\) 437591. 757930.i 0.185592 0.321456i
\(355\) 2.22810e6 + 3.85918e6i 0.938347 + 1.62526i
\(356\) 765890. 0.320289
\(357\) 353848. 1.11880e6i 0.146942 0.464605i
\(358\) 1.34191e6 0.553371
\(359\) −964935. 1.67132e6i −0.395150 0.684420i 0.597970 0.801518i \(-0.295974\pi\)
−0.993120 + 0.117099i \(0.962641\pi\)
\(360\) −659294. + 1.14193e6i −0.268116 + 0.464391i
\(361\) 301617. 522416.i 0.121811 0.210984i
\(362\) −362662. 628148.i −0.145455 0.251936i
\(363\) −1.37909e6 −0.549323
\(364\) 3.79363e6 837500.i 1.50073 0.331308i
\(365\) −1.94455e6 −0.763988
\(366\) −40318.2 69833.2i −0.0157325 0.0272496i
\(367\) −1.18371e6 + 2.05025e6i −0.458754 + 0.794586i −0.998895 0.0469885i \(-0.985038\pi\)
0.540141 + 0.841575i \(0.318371\pi\)
\(368\) −538438. + 932603.i −0.207260 + 0.358986i
\(369\) −9956.01 17244.3i −0.00380644 0.00659295i
\(370\) −1.89171e6 −0.718373
\(371\) −3.75244e6 + 828409.i −1.41540 + 0.312471i
\(372\) −4.14856e6 −1.55432
\(373\) −1.76914e6 3.06425e6i −0.658402 1.14039i −0.981029 0.193860i \(-0.937899\pi\)
0.322627 0.946526i \(-0.395434\pi\)
\(374\) −2.64703e6 + 4.58479e6i −0.978543 + 1.69489i
\(375\) 356654. 617742.i 0.130969 0.226845i
\(376\) −1.85480e6 3.21260e6i −0.676592 1.17189i
\(377\) −401975. −0.145662
\(378\) −267604. + 846116.i −0.0963304 + 0.304579i
\(379\) 1.79847e6 0.643139 0.321569 0.946886i \(-0.395790\pi\)
0.321569 + 0.946886i \(0.395790\pi\)
\(380\) 2.75689e6 + 4.77508e6i 0.979401 + 1.69637i
\(381\) −646533. + 1.11983e6i −0.228180 + 0.395220i
\(382\) 1.27728e6 2.21231e6i 0.447843 0.775687i
\(383\) −1.30407e6 2.25872e6i −0.454261 0.786802i 0.544385 0.838836i \(-0.316763\pi\)
−0.998645 + 0.0520333i \(0.983430\pi\)
\(384\) −2.98994e6 −1.03475
\(385\) −3.51855e6 3.84667e6i −1.20980 1.32261i
\(386\) 150555. 0.0514313
\(387\) 708932. + 1.22791e6i 0.240618 + 0.416762i
\(388\) 362841. 628460.i 0.122359 0.211933i
\(389\) 1.41498e6 2.45081e6i 0.474106 0.821175i −0.525455 0.850821i \(-0.676105\pi\)
0.999560 + 0.0296466i \(0.00943818\pi\)
\(390\) 1.61700e6 + 2.80072e6i 0.538328 + 0.932412i
\(391\) 3.24648e6 1.07392
\(392\) 339176. 3.79923e6i 0.111483 1.24876i
\(393\) −470609. −0.153702
\(394\) 4.84650e6 + 8.39438e6i 1.57285 + 2.72426i
\(395\) 1.60269e6 2.77594e6i 0.516841 0.895195i
\(396\) 1.27531e6 2.20891e6i 0.408676 0.707848i
\(397\) 1.21531e6 + 2.10498e6i 0.387000 + 0.670303i 0.992044 0.125888i \(-0.0401781\pi\)
−0.605045 + 0.796191i \(0.706845\pi\)
\(398\) 8.27939e6 2.61993
\(399\) 1.07771e6 + 1.17821e6i 0.338900 + 0.370503i
\(400\) 673885. 0.210589
\(401\) 1.21592e6 + 2.10604e6i 0.377611 + 0.654041i 0.990714 0.135962i \(-0.0434124\pi\)
−0.613103 + 0.790003i \(0.710079\pi\)
\(402\) 837279. 1.45021e6i 0.258408 0.447575i
\(403\) −2.18910e6 + 3.79163e6i −0.671433 + 1.16296i
\(404\) −706134. 1.22306e6i −0.215245 0.372816i
\(405\) −470614. −0.142570
\(406\) −276581. + 874501.i −0.0832737 + 0.263297i
\(407\) 1.57457e6 0.471167
\(408\) −1.02709e6 1.77898e6i −0.305464 0.529079i
\(409\) 2.38733e6 4.13497e6i 0.705674 1.22226i −0.260774 0.965400i \(-0.583978\pi\)
0.966448 0.256863i \(-0.0826889\pi\)
\(410\) −82785.6 + 143389.i −0.0243218 + 0.0421266i
\(411\) 42345.5 + 73344.5i 0.0123652 + 0.0214172i
\(412\) −9.02944e6 −2.62070
\(413\) −1.31102e6 + 289427.i −0.378210 + 0.0834956i
\(414\) −2.45521e6 −0.704024
\(415\) 559725. + 969472.i 0.159534 + 0.276322i
\(416\) −1.10168e6 + 1.90817e6i −0.312121 + 0.540609i
\(417\) 823924. 1.42708e6i 0.232032 0.401890i
\(418\) −3.60200e6 6.23884e6i −1.00833 1.74648i
\(419\) −457181. −0.127219 −0.0636097 0.997975i \(-0.520261\pi\)
−0.0636097 + 0.997975i \(0.520261\pi\)
\(420\) 4.59040e6 1.01340e6i 1.26978 0.280322i
\(421\) −1.82396e6 −0.501545 −0.250773 0.968046i \(-0.580685\pi\)
−0.250773 + 0.968046i \(0.580685\pi\)
\(422\) −1.75033e6 3.03166e6i −0.478453 0.828704i
\(423\) 661992. 1.14660e6i 0.179888 0.311575i
\(424\) −3.36358e6 + 5.82589e6i −0.908629 + 1.57379i
\(425\) −1.01579e6 1.75939e6i −0.272791 0.472488i
\(426\) 5.25014e6 1.40167
\(427\) −37302.3 + 117943.i −0.00990069 + 0.0313042i
\(428\) −5.30104e6 −1.39879
\(429\) −1.34591e6 2.33118e6i −0.353079 0.611551i
\(430\) 5.89487e6 1.02102e7i 1.53746 2.66295i
\(431\) 1.69124e6 2.92932e6i 0.438544 0.759580i −0.559034 0.829145i \(-0.688828\pi\)
0.997577 + 0.0695651i \(0.0221612\pi\)
\(432\) 121596. + 210611.i 0.0313480 + 0.0542964i
\(433\) −285266. −0.0731190 −0.0365595 0.999331i \(-0.511640\pi\)
−0.0365595 + 0.999331i \(0.511640\pi\)
\(434\) 6.74250e6 + 7.37125e6i 1.71829 + 1.87853i
\(435\) −486402. −0.123246
\(436\) 2.34209e6 + 4.05662e6i 0.590048 + 1.02199i
\(437\) −2.20886e6 + 3.82585e6i −0.553304 + 0.958351i
\(438\) −1.14550e6 + 1.98407e6i −0.285306 + 0.494164i
\(439\) −2.17610e6 3.76911e6i −0.538911 0.933421i −0.998963 0.0455294i \(-0.985503\pi\)
0.460052 0.887892i \(-0.347831\pi\)
\(440\) −9.12610e6 −2.24726
\(441\) 1.23484e6 573151.i 0.302352 0.140337i
\(442\) −5.03813e6 −1.22663
\(443\) 2.55280e6 + 4.42158e6i 0.618027 + 1.07045i 0.989845 + 0.142148i \(0.0454010\pi\)
−0.371819 + 0.928305i \(0.621266\pi\)
\(444\) −709927. + 1.22963e6i −0.170906 + 0.296017i
\(445\) 489024. 847015.i 0.117066 0.202764i
\(446\) −5.08014e6 8.79906e6i −1.20931 2.09459i
\(447\) 1.50301e6 0.355790
\(448\) 4.32729e6 + 4.73082e6i 1.01864 + 1.11363i
\(449\) 3.04163e6 0.712016 0.356008 0.934483i \(-0.384138\pi\)
0.356008 + 0.934483i \(0.384138\pi\)
\(450\) 768208. + 1.33057e6i 0.178833 + 0.309748i
\(451\) 68906.7 119350.i 0.0159522 0.0276300i
\(452\) 5.03430e6 8.71966e6i 1.15903 2.00749i
\(453\) 1.69319e6 + 2.93269e6i 0.387668 + 0.671461i
\(454\) −5.19305e6 −1.18245
\(455\) 1.49604e6 4.73020e6i 0.338777 1.07115i
\(456\) 2.79528e6 0.629524
\(457\) 872162. + 1.51063e6i 0.195347 + 0.338351i 0.947014 0.321192i \(-0.104083\pi\)
−0.751667 + 0.659542i \(0.770750\pi\)
\(458\) 2.45556e6 4.25316e6i 0.547000 0.947432i
\(459\) 366578. 634931.i 0.0812147 0.140668i
\(460\) 6.50295e6 + 1.12634e7i 1.43290 + 2.48186i
\(461\) −6.85701e6 −1.50273 −0.751367 0.659884i \(-0.770605\pi\)
−0.751367 + 0.659884i \(0.770605\pi\)
\(462\) −5.99756e6 + 1.32405e6i −1.30728 + 0.288602i
\(463\) 5.13844e6 1.11398 0.556992 0.830518i \(-0.311955\pi\)
0.556992 + 0.830518i \(0.311955\pi\)
\(464\) 125675. + 217676.i 0.0270991 + 0.0469370i
\(465\) −2.64887e6 + 4.58798e6i −0.568105 + 0.983987i
\(466\) −1.70980e6 + 2.96147e6i −0.364738 + 0.631746i
\(467\) 2.29085e6 + 3.96788e6i 0.486077 + 0.841910i 0.999872 0.0160029i \(-0.00509409\pi\)
−0.513795 + 0.857913i \(0.671761\pi\)
\(468\) 2.42733e6 0.512287
\(469\) −2.50848e6 + 553784.i −0.526597 + 0.116254i
\(470\) −1.10091e7 −2.29883
\(471\) 175838. + 304560.i 0.0365224 + 0.0632587i
\(472\) −1.17516e6 + 2.03543e6i −0.242795 + 0.420534i
\(473\) −4.90660e6 + 8.49848e6i −1.00839 + 1.74658i
\(474\) −1.88824e6 3.27052e6i −0.386021 0.668608i
\(475\) 2.76450e6 0.562190
\(476\) −2.20839e6 + 6.98253e6i −0.446743 + 1.41252i
\(477\) −2.40097e6 −0.483161
\(478\) 1.74577e6 + 3.02376e6i 0.349476 + 0.605310i
\(479\) 144261. 249868.i 0.0287284 0.0497590i −0.851304 0.524673i \(-0.824188\pi\)
0.880032 + 0.474914i \(0.157521\pi\)
\(480\) −1.33307e6 + 2.30894e6i −0.264088 + 0.457414i
\(481\) 749223. + 1.29769e6i 0.147655 + 0.255746i
\(482\) 1.60705e7 3.15074
\(483\) 2.54211e6 + 2.77917e6i 0.495823 + 0.542060i
\(484\) 8.60702e6 1.67009
\(485\) −463352. 802549.i −0.0894451 0.154923i
\(486\) −277231. + 480178.i −0.0532416 + 0.0922172i
\(487\) 3.90842e6 6.76959e6i 0.746757 1.29342i −0.202613 0.979259i \(-0.564943\pi\)
0.949369 0.314162i \(-0.101723\pi\)
\(488\) 108275. + 187538.i 0.0205816 + 0.0356484i
\(489\) 4.30127e6 0.813438
\(490\) −9.26124e6 6.50929e6i −1.74253 1.22474i
\(491\) 3.14467e6 0.588669 0.294335 0.955702i \(-0.404902\pi\)
0.294335 + 0.955702i \(0.404902\pi\)
\(492\) 62136.1 + 107623.i 0.0115726 + 0.0200444i
\(493\) 378875. 656232.i 0.0702068 0.121602i
\(494\) 3.42787e6 5.93724e6i 0.631985 1.09463i
\(495\) −1.62859e6 2.82080e6i −0.298743 0.517439i
\(496\) 2.73763e6 0.499656
\(497\) −5.43597e6 5.94289e6i −0.987157 1.07921i
\(498\) 1.31890e6 0.238308
\(499\) −3.36281e6 5.82456e6i −0.604577 1.04716i −0.992118 0.125305i \(-0.960009\pi\)
0.387541 0.921852i \(-0.373324\pi\)
\(500\) −2.22590e6 + 3.85537e6i −0.398181 + 0.689670i
\(501\) 179070. 310159.i 0.0318734 0.0552064i
\(502\) 272936. + 472738.i 0.0483394 + 0.0837262i
\(503\) −9.45056e6 −1.66547 −0.832737 0.553669i \(-0.813227\pi\)
−0.832737 + 0.553669i \(0.813227\pi\)
\(504\) 718654. 2.27225e6i 0.126021 0.398456i
\(505\) −1.80348e6 −0.314690
\(506\) −8.49639e6 1.47162e7i −1.47522 2.55516i
\(507\) −389976. + 675458.i −0.0673780 + 0.116702i
\(508\) 4.03506e6 6.98892e6i 0.693730 1.20158i
\(509\) 4.41851e6 + 7.65308e6i 0.755930 + 1.30931i 0.944911 + 0.327328i \(0.106148\pi\)
−0.188981 + 0.981981i \(0.560519\pi\)
\(510\) −6.09629e6 −1.03786
\(511\) 3.43191e6 757645.i 0.581411 0.128355i
\(512\) 3.80044e6 0.640707
\(513\) 498828. + 863995.i 0.0836869 + 0.144950i
\(514\) −1.46406e6 + 2.53583e6i −0.244429 + 0.423363i
\(515\) −5.76534e6 + 9.98585e6i −0.957870 + 1.65908i
\(516\) −4.42449e6 7.66345e6i −0.731542 1.26707i
\(517\) 9.16344e6 1.50776
\(518\) 3.33865e6 737057.i 0.546697 0.120692i
\(519\) −435044. −0.0708949
\(520\) −4.34246e6 7.52136e6i −0.704251 1.21980i
\(521\) −347492. + 601874.i −0.0560855 + 0.0971430i −0.892705 0.450641i \(-0.851195\pi\)
0.836619 + 0.547784i \(0.184529\pi\)
\(522\) −286531. + 496287.i −0.0460252 + 0.0797181i
\(523\) −1.79105e6 3.10219e6i −0.286321 0.495923i 0.686607 0.727028i \(-0.259099\pi\)
−0.972929 + 0.231105i \(0.925766\pi\)
\(524\) 2.93710e6 0.467294
\(525\) 710743. 2.24724e6i 0.112542 0.355837i
\(526\) −8.11252e6 −1.27847
\(527\) −4.12660e6 7.14748e6i −0.647240 1.12105i
\(528\) −841580. + 1.45766e6i −0.131374 + 0.227547i
\(529\) −1.99208e6 + 3.45038e6i −0.309504 + 0.536077i
\(530\) 9.98222e6 + 1.72897e7i 1.54361 + 2.67361i
\(531\) −838845. −0.129106
\(532\) −6.72609e6 7.35331e6i −1.03035 1.12643i
\(533\) 131151. 0.0199965
\(534\) −576152. 997925.i −0.0874347 0.151441i
\(535\) −3.38473e6 + 5.86253e6i −0.511258 + 0.885525i
\(536\) −2.24852e6 + 3.89456e6i −0.338053 + 0.585526i
\(537\) −643098. 1.11388e6i −0.0962368 0.166687i
\(538\) 1.05231e7 1.56744
\(539\) 7.70860e6 + 5.41801e6i 1.14289 + 0.803282i
\(540\) 2.93714e6 0.433451
\(541\) 2.58423e6 + 4.47602e6i 0.379610 + 0.657504i 0.991005 0.133821i \(-0.0427248\pi\)
−0.611395 + 0.791325i \(0.709391\pi\)
\(542\) 5.35277e6 9.27126e6i 0.782673 1.35563i
\(543\) −347604. + 602068.i −0.0505924 + 0.0876285i
\(544\) −2.07675e6 3.59703e6i −0.300875 0.521131i
\(545\) 5.98174e6 0.862653
\(546\) −3.94504e6 4.31292e6i −0.566331 0.619142i
\(547\) 8.47489e6 1.21106 0.605530 0.795822i \(-0.292961\pi\)
0.605530 + 0.795822i \(0.292961\pi\)
\(548\) −264281. 457748.i −0.0375936 0.0651141i
\(549\) −38644.2 + 66933.8i −0.00547210 + 0.00947795i
\(550\) −5.31685e6 + 9.20906e6i −0.749459 + 1.29810i
\(551\) 515562. + 892980.i 0.0723439 + 0.125303i
\(552\) 6.59349e6 0.921018
\(553\) −1.74699e6 + 5.52367e6i −0.242928 + 0.768095i
\(554\) 1.86671e7 2.58407
\(555\) 906583. + 1.57025e6i 0.124932 + 0.216389i
\(556\) −5.14217e6 + 8.90649e6i −0.705438 + 1.22186i
\(557\) 5.21063e6 9.02508e6i 0.711627 1.23257i −0.252619 0.967566i \(-0.581292\pi\)
0.964246 0.265009i \(-0.0853748\pi\)
\(558\) 3.12082e6 + 5.40541e6i 0.424309 + 0.734925i
\(559\) −9.33880e6 −1.26404
\(560\) −3.02921e6 + 668743.i −0.408187 + 0.0901134i
\(561\) 5.07425e6 0.680714
\(562\) 2.49921e6 + 4.32876e6i 0.333781 + 0.578126i
\(563\) 3.62039e6 6.27069e6i 0.481375 0.833767i −0.518396 0.855141i \(-0.673471\pi\)
0.999772 + 0.0213739i \(0.00680405\pi\)
\(564\) −4.13154e6 + 7.15603e6i −0.546907 + 0.947271i
\(565\) −6.42885e6 1.11351e7i −0.847251 1.46748i
\(566\) −2.46459e7 −3.23373
\(567\) 830581. 183363.i 0.108499 0.0239527i
\(568\) −1.40993e7 −1.83369
\(569\) −458268. 793743.i −0.0593388 0.102778i 0.834830 0.550508i \(-0.185566\pi\)
−0.894169 + 0.447730i \(0.852233\pi\)
\(570\) 4.14782e6 7.18424e6i 0.534728 0.926177i
\(571\) −5.03538e6 + 8.72154e6i −0.646312 + 1.11944i 0.337685 + 0.941259i \(0.390356\pi\)
−0.983997 + 0.178186i \(0.942977\pi\)
\(572\) 8.39990e6 + 1.45490e7i 1.07345 + 1.85928i
\(573\) −2.44849e6 −0.311538
\(574\) 90239.2 285320.i 0.0114318 0.0361454i
\(575\) 6.52091e6 0.822505
\(576\) 2.00292e6 + 3.46916e6i 0.251540 + 0.435680i
\(577\) −5.84987e6 + 1.01323e7i −0.731488 + 1.26697i 0.224760 + 0.974414i \(0.427840\pi\)
−0.956247 + 0.292560i \(0.905493\pi\)
\(578\) −1.91752e6 + 3.32125e6i −0.238738 + 0.413506i
\(579\) −72152.0 124971.i −0.00894442 0.0154922i
\(580\) 3.03567e6 0.374701
\(581\) −1.36558e6 1.49292e6i −0.167833 0.183484i
\(582\) −1.09181e6 −0.133610
\(583\) −8.30871e6 1.43911e7i −1.01242 1.75357i
\(584\) 3.07626e6 5.32823e6i 0.373242 0.646474i
\(585\) 1.54986e6 2.68443e6i 0.187242 0.324312i
\(586\) 2.86373e6 + 4.96013e6i 0.344499 + 0.596690i
\(587\) −6.92367e6 −0.829357 −0.414678 0.909968i \(-0.636106\pi\)
−0.414678 + 0.909968i \(0.636106\pi\)
\(588\) −7.70669e6 + 3.57707e6i −0.919231 + 0.426662i
\(589\) 1.12307e7 1.33389
\(590\) 3.48756e6 + 6.04062e6i 0.412469 + 0.714417i
\(591\) 4.64527e6 8.04584e6i 0.547069 0.947552i
\(592\) 468481. 811432.i 0.0549398 0.0951586i
\(593\) −7.88850e6 1.36633e7i −0.921208 1.59558i −0.797548 0.603255i \(-0.793870\pi\)
−0.123660 0.992325i \(-0.539463\pi\)
\(594\) −3.83750e6 −0.446254
\(595\) 6.31207e6 + 6.90068e6i 0.730936 + 0.799097i
\(596\) −9.38041e6 −1.08170
\(597\) −3.96781e6 6.87245e6i −0.455633 0.789180i
\(598\) 8.08565e6 1.40048e7i 0.924618 1.60148i
\(599\) −7.13541e6 + 1.23589e7i −0.812553 + 1.40738i 0.0985183 + 0.995135i \(0.468590\pi\)
−0.911072 + 0.412248i \(0.864744\pi\)
\(600\) −2.06303e6 3.57327e6i −0.233952 0.405217i
\(601\) 7.63222e6 0.861916 0.430958 0.902372i \(-0.358176\pi\)
0.430958 + 0.902372i \(0.358176\pi\)
\(602\) −6.42562e6 + 2.03167e7i −0.722643 + 2.28487i
\(603\) −1.60503e6 −0.179759
\(604\) −1.05673e7 1.83031e7i −1.17862 2.04142i
\(605\) 5.49562e6 9.51869e6i 0.610419 1.05728i
\(606\) −1.06240e6 + 1.84013e6i −0.117518 + 0.203548i
\(607\) 1.78017e6 + 3.08335e6i 0.196106 + 0.339665i 0.947262 0.320459i \(-0.103837\pi\)
−0.751157 + 0.660124i \(0.770504\pi\)
\(608\) 5.65194e6 0.620067
\(609\) 858444. 189515.i 0.0937927 0.0207061i
\(610\) 642664. 0.0699294
\(611\) 4.36023e6 + 7.55214e6i 0.472505 + 0.818402i
\(612\) −2.28784e6 + 3.96265e6i −0.246914 + 0.427668i
\(613\) 6.86420e6 1.18891e7i 0.737800 1.27791i −0.215683 0.976463i \(-0.569198\pi\)
0.953484 0.301445i \(-0.0974688\pi\)
\(614\) −6.33080e6 1.09653e7i −0.677700 1.17381i
\(615\) 158697. 0.0169192
\(616\) 1.61065e7 3.55576e6i 1.71021 0.377555i
\(617\) −6.51173e6 −0.688626 −0.344313 0.938855i \(-0.611888\pi\)
−0.344313 + 0.938855i \(0.611888\pi\)
\(618\) 6.79253e6 + 1.17650e7i 0.715419 + 1.23914i
\(619\) −4.42555e6 + 7.66527e6i −0.464238 + 0.804083i −0.999167 0.0408136i \(-0.987005\pi\)
0.534929 + 0.844897i \(0.320338\pi\)
\(620\) 1.65318e7 2.86339e7i 1.72719 2.99159i
\(621\) 1.17663e6 + 2.03799e6i 0.122437 + 0.212067i
\(622\) 3.12739e7 3.24121
\(623\) −533054. + 1.68542e6i −0.0550238 + 0.173976i
\(624\) −1.60179e6 −0.164681
\(625\) 5.99884e6 + 1.03903e7i 0.614281 + 1.06397i
\(626\) −1.33181e7 + 2.30677e7i −1.35834 + 2.35271i
\(627\) −3.45244e6 + 5.97981e6i −0.350718 + 0.607461i
\(628\) −1.09741e6 1.90078e6i −0.111038 0.192323i
\(629\) −2.82467e6 −0.284670
\(630\) −4.77362e6 5.21877e6i −0.479177 0.523862i
\(631\) −6.89663e6 −0.689546 −0.344773 0.938686i \(-0.612044\pi\)
−0.344773 + 0.938686i \(0.612044\pi\)
\(632\) 5.07088e6 + 8.78303e6i 0.504999 + 0.874685i
\(633\) −1.67766e6 + 2.90579e6i −0.166416 + 0.288240i
\(634\) −5.10992e6 + 8.85064e6i −0.504883 + 0.874483i
\(635\) −5.15280e6 8.92492e6i −0.507118 0.878355i
\(636\) 1.49846e7 1.46894
\(637\) −797329. + 8.93116e6i −0.0778554 + 0.872086i
\(638\) −3.96623e6 −0.385768
\(639\) −2.51608e6 4.35797e6i −0.243765 0.422214i
\(640\) 1.19147e7 2.06369e7i 1.14983 1.99157i
\(641\) 8.33473e6 1.44362e7i 0.801210 1.38774i −0.117610 0.993060i \(-0.537523\pi\)
0.918820 0.394677i \(-0.129144\pi\)
\(642\) 3.98778e6 + 6.90704e6i 0.381851 + 0.661385i
\(643\) −1.28697e7 −1.22756 −0.613779 0.789478i \(-0.710351\pi\)
−0.613779 + 0.789478i \(0.710351\pi\)
\(644\) −1.58655e7 1.73450e7i −1.50744 1.64801i
\(645\) −1.13002e7 −1.06952
\(646\) 6.46177e6 + 1.11921e7i 0.609214 + 1.05519i
\(647\) 5.73656e6 9.93601e6i 0.538754 0.933150i −0.460217 0.887806i \(-0.652228\pi\)
0.998971 0.0453435i \(-0.0144382\pi\)
\(648\) 744507. 1.28952e6i 0.0696517 0.120640i
\(649\) −2.90287e6 5.02792e6i −0.270530 0.468572i
\(650\) −1.01196e7 −0.939467
\(651\) 2.88737e6 9.12934e6i 0.267023 0.844280i
\(652\) −2.68445e7 −2.47307
\(653\) 6.59005e6 + 1.14143e7i 0.604791 + 1.04753i 0.992084 + 0.125573i \(0.0400768\pi\)
−0.387293 + 0.921957i \(0.626590\pi\)
\(654\) 3.52374e6 6.10330e6i 0.322151 0.557982i
\(655\) 1.87535e6 3.24820e6i 0.170797 0.295829i
\(656\) −41003.6 71020.4i −0.00372017 0.00644352i
\(657\) 2.19588e6 0.198470
\(658\) 1.94298e7 4.28943e6i 1.74946 0.386220i
\(659\) −1.13068e7 −1.01421 −0.507104 0.861885i \(-0.669284\pi\)
−0.507104 + 0.861885i \(0.669284\pi\)
\(660\) 1.01641e7 + 1.76048e7i 0.908260 + 1.57315i
\(661\) −1.10160e6 + 1.90802e6i −0.0980661 + 0.169856i −0.910884 0.412662i \(-0.864599\pi\)
0.812818 + 0.582518i \(0.197932\pi\)
\(662\) 6.12945e6 1.06165e7i 0.543596 0.941536i
\(663\) 2.41447e6 + 4.18199e6i 0.213324 + 0.369487i
\(664\) −3.54192e6 −0.311758
\(665\) −1.24268e7 + 2.74341e6i −1.08970 + 0.240567i
\(666\) 2.13621e6 0.186620
\(667\) 1.21611e6 + 2.10636e6i 0.105842 + 0.183323i
\(668\) −1.11759e6 + 1.93572e6i −0.0969038 + 0.167842i
\(669\) −4.86921e6 + 8.43372e6i −0.420623 + 0.728541i
\(670\) 6.67303e6 + 1.15580e7i 0.574296 + 0.994710i
\(671\) −534922. −0.0458653
\(672\) 1.45309e6 4.59442e6i 0.124128 0.392471i
\(673\) −1.89787e7 −1.61521 −0.807606 0.589723i \(-0.799237\pi\)
−0.807606 + 0.589723i \(0.799237\pi\)
\(674\) −1.48837e7 2.57793e7i −1.26200 2.18586i
\(675\) 736312. 1.27533e6i 0.0622017 0.107736i
\(676\) 2.43387e6 4.21558e6i 0.204847 0.354806i
\(677\) 9.82377e6 + 1.70153e7i 0.823771 + 1.42681i 0.902855 + 0.429945i \(0.141467\pi\)
−0.0790842 + 0.996868i \(0.525200\pi\)
\(678\) −1.51485e7 −1.26560
\(679\) 1.13046e6 + 1.23587e6i 0.0940977 + 0.102873i
\(680\) 1.63717e7 1.35775
\(681\) 2.48872e6 + 4.31059e6i 0.205640 + 0.356179i
\(682\) −2.15995e7 + 3.74115e7i −1.77821 + 3.07995i
\(683\) −8.13523e6 + 1.40906e7i −0.667295 + 1.15579i 0.311363 + 0.950291i \(0.399215\pi\)
−0.978658 + 0.205498i \(0.934119\pi\)
\(684\) −3.11322e6 5.39225e6i −0.254431 0.440687i
\(685\) −674978. −0.0549621
\(686\) 1.88812e7 + 7.87973e6i 1.53186 + 0.639295i
\(687\) −4.70722e6 −0.380515
\(688\) 2.91972e6 + 5.05711e6i 0.235164 + 0.407316i
\(689\) 7.90704e6 1.36954e7i 0.634550 1.09907i
\(690\) 9.78388e6 1.69462e7i 0.782327 1.35503i
\(691\) −9.72335e6 1.68413e7i −0.774677 1.34178i −0.934976 0.354712i \(-0.884579\pi\)
0.160299 0.987069i \(-0.448754\pi\)
\(692\) 2.71514e6 0.215539
\(693\) 3.97332e6 + 4.34384e6i 0.314283 + 0.343591i
\(694\) 1.61122e7 1.26986
\(695\) 6.56659e6 + 1.13737e7i 0.515677 + 0.893179i
\(696\) 769484. 1.33278e6i 0.0602111 0.104289i
\(697\) −123614. + 214106.i −0.00963800 + 0.0166935i
\(698\) −1.38886e7 2.40558e7i −1.07900 1.86888i
\(699\) 3.27763e6 0.253727
\(700\) −4.43579e6 + 1.40252e7i −0.342157 + 1.08184i
\(701\) 1.49625e7 1.15003 0.575014 0.818144i \(-0.304997\pi\)
0.575014 + 0.818144i \(0.304997\pi\)
\(702\) −1.82599e6 3.16271e6i −0.139848 0.242224i
\(703\) 1.92187e6 3.32877e6i 0.146668 0.254036i
\(704\) −1.38624e7 + 2.40104e7i −1.05416 + 1.82586i
\(705\) 5.27601e6 + 9.13831e6i 0.399791 + 0.692458i
\(706\) −3.53979e7 −2.67280
\(707\) 3.18293e6 702680.i 0.239485 0.0528700i
\(708\) 5.23529e6 0.392516
\(709\) −793193. 1.37385e6i −0.0592603 0.102642i 0.834873 0.550442i \(-0.185541\pi\)
−0.894134 + 0.447800i \(0.852208\pi\)
\(710\) −2.09215e7 + 3.62372e7i −1.55757 + 2.69779i
\(711\) −1.80984e6 + 3.13473e6i −0.134266 + 0.232555i
\(712\) 1.54726e6 + 2.67994e6i 0.114384 + 0.198118i
\(713\) 2.64910e7 1.95152
\(714\) 1.07593e7 2.37527e6i 0.789836 0.174368i
\(715\) 2.14535e7 1.56940
\(716\) 4.01362e6 + 6.95179e6i 0.292586 + 0.506774i
\(717\) 1.67329e6 2.89822e6i 0.121555 0.210539i
\(718\) 9.06061e6 1.56934e7i 0.655913 1.13607i
\(719\) 9.08376e6 + 1.57335e7i 0.655305 + 1.13502i 0.981817 + 0.189829i \(0.0607932\pi\)
−0.326512 + 0.945193i \(0.605873\pi\)
\(720\) −1.93822e6 −0.139338
\(721\) 6.28442e6 1.98702e7i 0.450222 1.42352i
\(722\) 5.66429e6 0.404392
\(723\) −7.70164e6 1.33396e7i −0.547945 0.949069i
\(724\) 2.16942e6 3.75754e6i 0.153814 0.266414i
\(725\) 761013. 1.31811e6i 0.0537709 0.0931339i
\(726\) −6.47476e6 1.12146e7i −0.455913 0.789664i
\(727\) 1.26903e7 0.890506 0.445253 0.895405i \(-0.353114\pi\)
0.445253 + 0.895405i \(0.353114\pi\)
\(728\) 1.05945e7 + 1.15824e7i 0.740884 + 0.809973i
\(729\) 531441. 0.0370370
\(730\) −9.12953e6 1.58128e7i −0.634076 1.09825i
\(731\) 8.80214e6 1.52458e7i 0.609249 1.05525i
\(732\) 241181. 417738.i 0.0166366 0.0288155i
\(733\) 1.55701e6 + 2.69681e6i 0.107036 + 0.185392i 0.914568 0.404432i \(-0.132531\pi\)
−0.807532 + 0.589824i \(0.799197\pi\)
\(734\) −2.22298e7 −1.52298
\(735\) −964792. + 1.08070e7i −0.0658742 + 0.737880i
\(736\) 1.33318e7 0.907182
\(737\) −5.55430e6 9.62033e6i −0.376670 0.652411i
\(738\) 93485.6 161922.i 0.00631835 0.0109437i
\(739\) −4.54950e6 + 7.87996e6i −0.306445 + 0.530778i −0.977582 0.210555i \(-0.932473\pi\)
0.671137 + 0.741333i \(0.265806\pi\)
\(740\) −5.65804e6 9.80002e6i −0.379828 0.657881i
\(741\) −6.57109e6 −0.439634
\(742\) −2.43540e7 2.66250e7i −1.62390 1.77534i
\(743\) −8.79218e6 −0.584285 −0.292142 0.956375i \(-0.594368\pi\)
−0.292142 + 0.956375i \(0.594368\pi\)
\(744\) −8.38098e6 1.45163e7i −0.555089 0.961443i
\(745\) −5.98943e6 + 1.03740e7i −0.395362 + 0.684787i
\(746\) 1.66120e7 2.87729e7i 1.09289 1.89294i
\(747\) −632069. 1.09478e6i −0.0414441 0.0717833i
\(748\) −3.16687e7 −2.06955
\(749\) 3.68948e6 1.16655e7i 0.240304 0.759798i
\(750\) 6.69786e6 0.434793
\(751\) 1.40459e7 + 2.43282e7i 0.908759 + 1.57402i 0.815790 + 0.578349i \(0.196303\pi\)
0.0929698 + 0.995669i \(0.470364\pi\)
\(752\) 2.72640e6 4.72226e6i 0.175811 0.304513i
\(753\) 261603. 453110.i 0.0168134 0.0291217i
\(754\) −1.88725e6 3.26881e6i −0.120893 0.209393i
\(755\) −2.69891e7 −1.72314
\(756\) −5.18371e6 + 1.14438e6i −0.329865 + 0.0728227i
\(757\) −4.18815e6 −0.265634 −0.132817 0.991141i \(-0.542402\pi\)
−0.132817 + 0.991141i \(0.542402\pi\)
\(758\) 8.44369e6 + 1.46249e7i 0.533776 + 0.924527i
\(759\) −8.14362e6 + 1.41052e7i −0.513113 + 0.888738i
\(760\) −1.11390e7 + 1.92934e7i −0.699541 + 1.21164i
\(761\) 196591. + 340506.i 0.0123056 + 0.0213139i 0.872113 0.489305i \(-0.162750\pi\)
−0.859807 + 0.510619i \(0.829416\pi\)
\(762\) −1.21417e7