Properties

Label 33.6.f.a.17.5
Level $33$
Weight $6$
Character 33.17
Analytic conductor $5.293$
Analytic rank $0$
Dimension $72$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [33,6,Mod(2,33)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(33, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 1]))
 
N = Newforms(chi, 6, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("33.2");
 
S:= CuspForms(chi, 6);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 33 = 3 \cdot 11 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 33.f (of order \(10\), degree \(4\), 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: \(5.29266605383\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 17.5
Character \(\chi\) \(=\) 33.17
Dual form 33.6.f.a.2.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.97194 - 6.06902i) q^{2} +(4.72506 + 14.8551i) q^{3} +(-7.05585 + 5.12637i) q^{4} +(-59.6930 - 19.3954i) q^{5} +(80.8382 - 57.9699i) q^{6} +(-97.0552 - 133.585i) q^{7} +(-120.178 - 87.3143i) q^{8} +(-198.348 + 140.382i) q^{9} +O(q^{10})\) \(q+(-1.97194 - 6.06902i) q^{2} +(4.72506 + 14.8551i) q^{3} +(-7.05585 + 5.12637i) q^{4} +(-59.6930 - 19.3954i) q^{5} +(80.8382 - 57.9699i) q^{6} +(-97.0552 - 133.585i) q^{7} +(-120.178 - 87.3143i) q^{8} +(-198.348 + 140.382i) q^{9} +400.525i q^{10} +(390.430 - 92.8174i) q^{11} +(-109.492 - 80.5928i) q^{12} +(-1021.69 + 331.966i) q^{13} +(-619.342 + 852.451i) q^{14} +(6.06792 - 978.390i) q^{15} +(-379.171 + 1166.97i) q^{16} +(77.1051 - 237.305i) q^{17} +(1243.11 + 926.949i) q^{18} +(1751.76 - 2411.09i) q^{19} +(520.613 - 169.157i) q^{20} +(1525.83 - 2072.96i) q^{21} +(-1333.22 - 2186.50i) q^{22} +1763.53i q^{23} +(729.215 - 2197.82i) q^{24} +(658.898 + 478.717i) q^{25} +(4029.41 + 5546.01i) q^{26} +(-3022.60 - 2283.16i) q^{27} +(1369.61 + 445.014i) q^{28} +(2059.70 - 1496.46i) q^{29} +(-5949.83 + 1892.50i) q^{30} +(547.442 + 1684.85i) q^{31} +3076.52 q^{32} +(3223.62 + 5361.31i) q^{33} -1592.25 q^{34} +(3202.58 + 9856.52i) q^{35} +(679.858 - 2007.32i) q^{36} +(1794.75 - 1303.96i) q^{37} +(-18087.3 - 5876.92i) q^{38} +(-9758.91 - 13608.7i) q^{39} +(5480.28 + 7542.96i) q^{40} +(69.9620 + 50.8304i) q^{41} +(-15589.7 - 5172.50i) q^{42} -461.539i q^{43} +(-2279.00 + 2656.40i) q^{44} +(14562.8 - 4532.81i) q^{45} +(10702.9 - 3477.58i) q^{46} +(9135.16 - 12573.5i) q^{47} +(-19127.0 - 118.625i) q^{48} +(-3231.60 + 9945.83i) q^{49} +(1606.03 - 4942.86i) q^{50} +(3889.51 + 24.1226i) q^{51} +(5507.08 - 7579.84i) q^{52} +(-10804.7 + 3510.66i) q^{53} +(-7896.12 + 22846.5i) q^{54} +(-25106.2 - 2032.02i) q^{55} +24528.3i q^{56} +(44094.1 + 14630.0i) q^{57} +(-13143.7 - 9549.43i) q^{58} +(-8500.25 - 11699.6i) q^{59} +(4972.78 + 6934.48i) q^{60} +(-25093.2 - 8153.27i) q^{61} +(9145.87 - 6644.86i) q^{62} +(38003.7 + 12871.4i) q^{63} +(6066.76 + 18671.6i) q^{64} +67426.2 q^{65} +(26181.1 - 30136.4i) q^{66} -16712.0 q^{67} +(672.472 + 2069.66i) q^{68} +(-26197.4 + 8332.79i) q^{69} +(53504.1 - 38873.0i) q^{70} +(-54633.9 - 17751.6i) q^{71} +(36094.4 + 447.728i) q^{72} +(5083.88 + 6997.36i) q^{73} +(-11452.9 - 8321.02i) q^{74} +(-3998.06 + 12050.0i) q^{75} +25992.4i q^{76} +(-50292.3 - 43147.2i) q^{77} +(-63347.3 + 86062.5i) q^{78} +(2618.63 - 850.844i) q^{79} +(45267.8 - 62305.7i) q^{80} +(19634.5 - 55689.0i) q^{81} +(170.529 - 524.835i) q^{82} +(-10500.4 + 32316.9i) q^{83} +(-139.224 + 22448.4i) q^{84} +(-9205.27 + 12670.0i) q^{85} +(-2801.09 + 910.129i) q^{86} +(31962.3 + 23526.2i) q^{87} +(-55025.4 - 22935.6i) q^{88} -32577.0i q^{89} +(-56226.6 - 79443.1i) q^{90} +(143506. + 104263. i) q^{91} +(-9040.51 - 12443.2i) q^{92} +(-22441.9 + 16093.3i) q^{93} +(-94322.5 - 30647.3i) q^{94} +(-151332. + 109949. i) q^{95} +(14536.7 + 45702.0i) q^{96} +(-33674.6 - 103640. i) q^{97} +66733.9 q^{98} +(-64411.0 + 73219.7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 18 q^{3} - 262 q^{4} + 15 q^{6} - 10 q^{7} + 292 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 18 q^{3} - 262 q^{4} + 15 q^{6} - 10 q^{7} + 292 q^{9} + 1854 q^{12} - 10 q^{13} - 762 q^{15} - 10122 q^{16} + 4815 q^{18} + 4460 q^{19} + 4628 q^{22} - 805 q^{24} + 13708 q^{25} + 6108 q^{27} - 28130 q^{28} - 15470 q^{30} + 4340 q^{31} - 508 q^{33} + 18732 q^{34} - 56461 q^{36} + 978 q^{37} + 23360 q^{39} + 69750 q^{40} + 60788 q^{42} - 31356 q^{45} - 52090 q^{46} + 4238 q^{48} - 58448 q^{49} - 178950 q^{51} - 14190 q^{52} + 86600 q^{55} + 266190 q^{57} + 137102 q^{58} + 284090 q^{60} - 77890 q^{61} - 120330 q^{63} - 379114 q^{64} - 323304 q^{66} + 42668 q^{67} - 271816 q^{69} + 87176 q^{70} + 343960 q^{72} + 116440 q^{73} + 326202 q^{75} + 155512 q^{78} - 350590 q^{79} - 208088 q^{81} - 606424 q^{82} - 220680 q^{84} + 665610 q^{85} + 1152974 q^{88} + 293440 q^{90} + 621014 q^{91} + 478456 q^{93} - 521270 q^{94} - 1246430 q^{96} - 1030446 q^{97} - 590000 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).

\(n\) \(13\) \(23\)
\(\chi(n)\) \(e\left(\frac{9}{10}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.97194 6.06902i −0.348593 1.07286i −0.959632 0.281259i \(-0.909248\pi\)
0.611038 0.791601i \(-0.290752\pi\)
\(3\) 4.72506 + 14.8551i 0.303113 + 0.952955i
\(4\) −7.05585 + 5.12637i −0.220495 + 0.160199i
\(5\) −59.6930 19.3954i −1.06782 0.346956i −0.278183 0.960528i \(-0.589732\pi\)
−0.789639 + 0.613572i \(0.789732\pi\)
\(6\) 80.8382 57.9699i 0.916724 0.657392i
\(7\) −97.0552 133.585i −0.748641 1.03042i −0.998075 0.0620242i \(-0.980244\pi\)
0.249434 0.968392i \(-0.419756\pi\)
\(8\) −120.178 87.3143i −0.663895 0.482348i
\(9\) −198.348 + 140.382i −0.816245 + 0.577705i
\(10\) 400.525i 1.26657i
\(11\) 390.430 92.8174i 0.972886 0.231285i
\(12\) −109.492 80.5928i −0.219497 0.161564i
\(13\) −1021.69 + 331.966i −1.67671 + 0.544797i −0.984270 0.176673i \(-0.943466\pi\)
−0.692445 + 0.721471i \(0.743466\pi\)
\(14\) −619.342 + 852.451i −0.844521 + 1.16238i
\(15\) 6.06792 978.390i 0.00696325 1.12275i
\(16\) −379.171 + 1166.97i −0.370284 + 1.13962i
\(17\) 77.1051 237.305i 0.0647084 0.199152i −0.913475 0.406895i \(-0.866612\pi\)
0.978184 + 0.207743i \(0.0666116\pi\)
\(18\) 1243.11 + 926.949i 0.904335 + 0.674333i
\(19\) 1751.76 2411.09i 1.11324 1.53225i 0.296696 0.954972i \(-0.404115\pi\)
0.816548 0.577277i \(-0.195885\pi\)
\(20\) 520.613 169.157i 0.291032 0.0945619i
\(21\) 1525.83 2072.96i 0.755017 1.02575i
\(22\) −1333.22 2186.50i −0.587278 0.963146i
\(23\) 1763.53i 0.695126i 0.937657 + 0.347563i \(0.112991\pi\)
−0.937657 + 0.347563i \(0.887009\pi\)
\(24\) 729.215 2197.82i 0.258421 0.778868i
\(25\) 658.898 + 478.717i 0.210847 + 0.153189i
\(26\) 4029.41 + 5546.01i 1.16898 + 1.60897i
\(27\) −3022.60 2283.16i −0.797942 0.602735i
\(28\) 1369.61 + 445.014i 0.330143 + 0.107270i
\(29\) 2059.70 1496.46i 0.454789 0.330423i −0.336695 0.941614i \(-0.609309\pi\)
0.791484 + 0.611191i \(0.209309\pi\)
\(30\) −5949.83 + 1892.50i −1.20698 + 0.383914i
\(31\) 547.442 + 1684.85i 0.102314 + 0.314889i 0.989091 0.147309i \(-0.0470610\pi\)
−0.886777 + 0.462198i \(0.847061\pi\)
\(32\) 3076.52 0.531110
\(33\) 3223.62 + 5361.31i 0.515298 + 0.857011i
\(34\) −1592.25 −0.236219
\(35\) 3202.58 + 9856.52i 0.441906 + 1.36005i
\(36\) 679.858 2007.32i 0.0874302 0.258143i
\(37\) 1794.75 1303.96i 0.215526 0.156589i −0.474784 0.880102i \(-0.657474\pi\)
0.690310 + 0.723513i \(0.257474\pi\)
\(38\) −18087.3 5876.92i −2.03196 0.660223i
\(39\) −9758.91 13608.7i −1.02740 1.43270i
\(40\) 5480.28 + 7542.96i 0.541568 + 0.745404i
\(41\) 69.9620 + 50.8304i 0.00649984 + 0.00472241i 0.591030 0.806649i \(-0.298721\pi\)
−0.584531 + 0.811372i \(0.698721\pi\)
\(42\) −15589.7 5172.50i −1.36368 0.452457i
\(43\) 461.539i 0.0380660i −0.999819 0.0190330i \(-0.993941\pi\)
0.999819 0.0190330i \(-0.00605876\pi\)
\(44\) −2279.00 + 2656.40i −0.177465 + 0.206853i
\(45\) 14562.8 4532.81i 1.07204 0.333685i
\(46\) 10702.9 3477.58i 0.745773 0.242316i
\(47\) 9135.16 12573.5i 0.603214 0.830253i −0.392784 0.919631i \(-0.628488\pi\)
0.995998 + 0.0893782i \(0.0284880\pi\)
\(48\) −19127.0 118.625i −1.19824 0.00743143i
\(49\) −3231.60 + 9945.83i −0.192277 + 0.591767i
\(50\) 1606.03 4942.86i 0.0908510 0.279611i
\(51\) 3889.51 + 24.1226i 0.209397 + 0.00129867i
\(52\) 5507.08 7579.84i 0.282431 0.388733i
\(53\) −10804.7 + 3510.66i −0.528352 + 0.171672i −0.561032 0.827794i \(-0.689596\pi\)
0.0326806 + 0.999466i \(0.489596\pi\)
\(54\) −7896.12 + 22846.5i −0.368493 + 1.06619i
\(55\) −25106.2 2032.02i −1.11911 0.0905777i
\(56\) 24528.3i 1.04519i
\(57\) 44094.1 + 14630.0i 1.79760 + 0.596427i
\(58\) −13143.7 9549.43i −0.513034 0.372741i
\(59\) −8500.25 11699.6i −0.317908 0.437563i 0.619919 0.784666i \(-0.287165\pi\)
−0.937827 + 0.347103i \(0.887165\pi\)
\(60\) 4972.78 + 6934.48i 0.178329 + 0.248677i
\(61\) −25093.2 8153.27i −0.863438 0.280548i −0.156374 0.987698i \(-0.549981\pi\)
−0.707064 + 0.707150i \(0.749981\pi\)
\(62\) 9145.87 6644.86i 0.302166 0.219537i
\(63\) 38003.7 + 12871.4i 1.20635 + 0.408578i
\(64\) 6066.76 + 18671.6i 0.185143 + 0.569811i
\(65\) 67426.2 1.97945
\(66\) 26181.1 30136.4i 0.739823 0.851592i
\(67\) −16712.0 −0.454823 −0.227411 0.973799i \(-0.573026\pi\)
−0.227411 + 0.973799i \(0.573026\pi\)
\(68\) 672.472 + 2069.66i 0.0176361 + 0.0542783i
\(69\) −26197.4 + 8332.79i −0.662423 + 0.210701i
\(70\) 53504.1 38873.0i 1.30509 0.948207i
\(71\) −54633.9 17751.6i −1.28622 0.417919i −0.415455 0.909614i \(-0.636378\pi\)
−0.870768 + 0.491695i \(0.836378\pi\)
\(72\) 36094.4 + 447.728i 0.820556 + 0.0101785i
\(73\) 5083.88 + 6997.36i 0.111658 + 0.153683i 0.861188 0.508286i \(-0.169721\pi\)
−0.749531 + 0.661970i \(0.769721\pi\)
\(74\) −11452.9 8321.02i −0.243129 0.176643i
\(75\) −3998.06 + 12050.0i −0.0820722 + 0.247362i
\(76\) 25992.4i 0.516194i
\(77\) −50292.3 43147.2i −0.966662 0.829328i
\(78\) −63347.3 + 86062.5i −1.17894 + 1.60169i
\(79\) 2618.63 850.844i 0.0472070 0.0153385i −0.285318 0.958433i \(-0.592099\pi\)
0.332525 + 0.943094i \(0.392099\pi\)
\(80\) 45267.8 62305.7i 0.790795 1.08844i
\(81\) 19634.5 55689.0i 0.332513 0.943099i
\(82\) 170.529 524.835i 0.00280069 0.00861963i
\(83\) −10500.4 + 32316.9i −0.167306 + 0.514914i −0.999199 0.0400220i \(-0.987257\pi\)
0.831893 + 0.554936i \(0.187257\pi\)
\(84\) −139.224 + 22448.4i −0.00215286 + 0.347127i
\(85\) −9205.27 + 12670.0i −0.138194 + 0.190208i
\(86\) −2801.09 + 910.129i −0.0408395 + 0.0132696i
\(87\) 31962.3 + 23526.2i 0.452731 + 0.333237i
\(88\) −55025.4 22935.6i −0.757454 0.315721i
\(89\) 32577.0i 0.435949i −0.975954 0.217974i \(-0.930055\pi\)
0.975954 0.217974i \(-0.0699449\pi\)
\(90\) −56226.6 79443.1i −0.731705 1.03383i
\(91\) 143506. + 104263.i 1.81663 + 1.31986i
\(92\) −9040.51 12443.2i −0.111359 0.153272i
\(93\) −22441.9 + 16093.3i −0.269062 + 0.192947i
\(94\) −94322.5 30647.3i −1.10102 0.357744i
\(95\) −151332. + 109949.i −1.72037 + 1.24992i
\(96\) 14536.7 + 45702.0i 0.160986 + 0.506124i
\(97\) −33674.6 103640.i −0.363390 1.11840i −0.950983 0.309243i \(-0.899924\pi\)
0.587593 0.809157i \(-0.300076\pi\)
\(98\) 66733.9 0.701910
\(99\) −64411.0 + 73219.7i −0.660499 + 0.750827i
\(100\) −7103.16 −0.0710316
\(101\) −56617.1 174249.i −0.552260 1.69968i −0.703071 0.711120i \(-0.748188\pi\)
0.150810 0.988563i \(-0.451812\pi\)
\(102\) −7523.50 23653.1i −0.0716010 0.225106i
\(103\) −17549.4 + 12750.4i −0.162993 + 0.118421i −0.666292 0.745691i \(-0.732120\pi\)
0.503299 + 0.864112i \(0.332120\pi\)
\(104\) 151769. + 49312.9i 1.37594 + 0.447071i
\(105\) −131287. + 94147.3i −1.16212 + 0.833364i
\(106\) 42612.5 + 58651.1i 0.368360 + 0.507004i
\(107\) −22726.0 16511.4i −0.191895 0.139420i 0.487690 0.873017i \(-0.337840\pi\)
−0.679584 + 0.733597i \(0.737840\pi\)
\(108\) 33031.3 + 614.638i 0.272500 + 0.00507061i
\(109\) 142926.i 1.15224i 0.817363 + 0.576122i \(0.195435\pi\)
−0.817363 + 0.576122i \(0.804565\pi\)
\(110\) 37175.7 + 156377.i 0.292939 + 1.23223i
\(111\) 27850.8 + 20499.9i 0.214551 + 0.157922i
\(112\) 192690. 62608.8i 1.45149 0.471618i
\(113\) 4106.24 5651.75i 0.0302516 0.0416377i −0.793623 0.608409i \(-0.791808\pi\)
0.823875 + 0.566772i \(0.191808\pi\)
\(114\) 1838.61 296457.i 0.0132504 2.13649i
\(115\) 34204.5 105270.i 0.241178 0.742270i
\(116\) −6861.53 + 21117.6i −0.0473452 + 0.145713i
\(117\) 156047. 209271.i 1.05388 1.41334i
\(118\) −54243.0 + 74659.0i −0.358623 + 0.493603i
\(119\) −39183.8 + 12731.6i −0.253653 + 0.0824168i
\(120\) −86156.7 + 117051.i −0.546180 + 0.742031i
\(121\) 143821. 72477.5i 0.893014 0.450028i
\(122\) 168369.i 1.02415i
\(123\) −424.515 + 1279.47i −0.00253006 + 0.00762548i
\(124\) −12499.8 9081.67i −0.0730046 0.0530410i
\(125\) 85241.9 + 117325.i 0.487953 + 0.671609i
\(126\) 3175.85 256026.i 0.0178210 1.43667i
\(127\) 94688.8 + 30766.3i 0.520942 + 0.169264i 0.557673 0.830061i \(-0.311694\pi\)
−0.0367308 + 0.999325i \(0.511694\pi\)
\(128\) 181001. 131505.i 0.976465 0.709443i
\(129\) 6856.21 2180.80i 0.0362752 0.0115383i
\(130\) −132961. 409210.i −0.690024 2.12368i
\(131\) 149193. 0.759572 0.379786 0.925074i \(-0.375998\pi\)
0.379786 + 0.925074i \(0.375998\pi\)
\(132\) −50229.4 21303.1i −0.250913 0.106416i
\(133\) −492103. −2.41227
\(134\) 32955.2 + 101426.i 0.158548 + 0.487961i
\(135\) 136145. + 194913.i 0.642937 + 0.920464i
\(136\) −29986.4 + 21786.4i −0.139020 + 0.101004i
\(137\) 181680. + 59031.3i 0.826999 + 0.268708i 0.691781 0.722107i \(-0.256826\pi\)
0.135218 + 0.990816i \(0.456826\pi\)
\(138\) 102232. + 142561.i 0.456970 + 0.637239i
\(139\) 79020.3 + 108762.i 0.346898 + 0.477464i 0.946440 0.322879i \(-0.104651\pi\)
−0.599542 + 0.800343i \(0.704651\pi\)
\(140\) −73125.1 53128.5i −0.315316 0.229091i
\(141\) 229944. + 76293.2i 0.974035 + 0.323175i
\(142\) 366579.i 1.52562i
\(143\) −368085. + 224440.i −1.50525 + 0.917825i
\(144\) −88614.2 284694.i −0.356121 1.14412i
\(145\) −151974. + 49379.5i −0.600276 + 0.195041i
\(146\) 32442.0 44652.5i 0.125958 0.173366i
\(147\) −163016. 1011.01i −0.622209 0.00385891i
\(148\) −5978.88 + 18401.1i −0.0224370 + 0.0690541i
\(149\) −3440.17 + 10587.8i −0.0126945 + 0.0390696i −0.957203 0.289417i \(-0.906539\pi\)
0.944509 + 0.328487i \(0.106539\pi\)
\(150\) 81015.3 + 502.452i 0.293994 + 0.00182334i
\(151\) 196702. 270737.i 0.702047 0.966284i −0.297885 0.954602i \(-0.596281\pi\)
0.999932 0.0116825i \(-0.00371873\pi\)
\(152\) −421045. + 136806.i −1.47815 + 0.480282i
\(153\) 18019.8 + 57893.1i 0.0622332 + 0.199939i
\(154\) −162688. + 390309.i −0.552781 + 1.32619i
\(155\) 111192.i 0.371744i
\(156\) 138621. + 45992.9i 0.456054 + 0.151314i
\(157\) −236081. 171523.i −0.764385 0.555358i 0.135867 0.990727i \(-0.456618\pi\)
−0.900252 + 0.435369i \(0.856618\pi\)
\(158\) −10327.6 14214.7i −0.0329121 0.0452996i
\(159\) −103204. 143917.i −0.323746 0.451459i
\(160\) −183647. 59670.4i −0.567131 0.184272i
\(161\) 235581. 171160.i 0.716269 0.520400i
\(162\) −376696. 9346.79i −1.12773 0.0279817i
\(163\) 153636. + 472844.i 0.452924 + 1.39396i 0.873556 + 0.486725i \(0.161808\pi\)
−0.420632 + 0.907231i \(0.638192\pi\)
\(164\) −754.217 −0.00218971
\(165\) −88442.5 382557.i −0.252901 1.09392i
\(166\) 216838. 0.610752
\(167\) −182773. 562519.i −0.507133 1.56079i −0.797155 0.603775i \(-0.793663\pi\)
0.290022 0.957020i \(-0.406337\pi\)
\(168\) −364370. + 115898.i −0.996022 + 0.316812i
\(169\) 633259. 460089.i 1.70555 1.23915i
\(170\) 95046.5 + 30882.5i 0.252240 + 0.0819577i
\(171\) −8982.62 + 724150.i −0.0234916 + 1.89382i
\(172\) 2366.02 + 3256.55i 0.00609814 + 0.00839338i
\(173\) −128775. 93560.2i −0.327126 0.237671i 0.412084 0.911146i \(-0.364801\pi\)
−0.739210 + 0.673475i \(0.764801\pi\)
\(174\) 79753.1 240372.i 0.199698 0.601881i
\(175\) 134481.i 0.331944i
\(176\) −39724.9 + 490814.i −0.0966678 + 1.19436i
\(177\) 133634. 181553.i 0.320616 0.435583i
\(178\) −197710. + 64239.9i −0.467712 + 0.151969i
\(179\) 56541.9 77823.3i 0.131898 0.181542i −0.737960 0.674845i \(-0.764211\pi\)
0.869858 + 0.493303i \(0.164211\pi\)
\(180\) −79515.6 + 106637.i −0.182924 + 0.245316i
\(181\) 67956.6 209149.i 0.154183 0.474525i −0.843895 0.536509i \(-0.819743\pi\)
0.998077 + 0.0619840i \(0.0197428\pi\)
\(182\) 349788. 1.07654e6i 0.782757 2.40908i
\(183\) 2550.77 411286.i 0.00563047 0.907855i
\(184\) 153981. 211937.i 0.335293 0.461491i
\(185\) −132425. + 43027.5i −0.284473 + 0.0924308i
\(186\) 141925. + 104465.i 0.300799 + 0.221406i
\(187\) 8078.13 99807.8i 0.0168930 0.208718i
\(188\) 135547.i 0.279701i
\(189\) −11636.7 + 625366.i −0.0236959 + 1.27344i
\(190\) 965701. + 701623.i 1.94070 + 1.41000i
\(191\) 516292. + 710614.i 1.02403 + 1.40945i 0.909341 + 0.416051i \(0.136586\pi\)
0.114686 + 0.993402i \(0.463414\pi\)
\(192\) −248702. + 178347.i −0.486885 + 0.349150i
\(193\) −192372. 62505.4i −0.371748 0.120788i 0.117184 0.993110i \(-0.462613\pi\)
−0.488932 + 0.872322i \(0.662613\pi\)
\(194\) −562587. + 408743.i −1.07321 + 0.779734i
\(195\) 318593. + 1.00162e6i 0.599997 + 1.88633i
\(196\) −28184.4 86742.6i −0.0524045 0.161284i
\(197\) −8845.91 −0.0162397 −0.00811983 0.999967i \(-0.502585\pi\)
−0.00811983 + 0.999967i \(0.502585\pi\)
\(198\) 571386. + 246526.i 1.03578 + 0.446890i
\(199\) −202626. −0.362712 −0.181356 0.983418i \(-0.558049\pi\)
−0.181356 + 0.983418i \(0.558049\pi\)
\(200\) −37386.0 115062.i −0.0660898 0.203404i
\(201\) −78965.4 248259.i −0.137863 0.433426i
\(202\) −945877. + 687220.i −1.63101 + 1.18500i
\(203\) −399810. 129906.i −0.680947 0.221253i
\(204\) −27567.5 + 19768.9i −0.0463790 + 0.0332588i
\(205\) −3190.37 4391.17i −0.00530220 0.00729785i
\(206\) 111989. + 81364.6i 0.183868 + 0.133588i
\(207\) −247569. 349792.i −0.401578 0.567393i
\(208\) 1.31815e6i 2.11254i
\(209\) 460149. 1.10396e6i 0.728673 1.74818i
\(210\) 830272. + 611131.i 1.29919 + 0.956282i
\(211\) 391708. 127274.i 0.605698 0.196803i 0.00991779 0.999951i \(-0.496843\pi\)
0.595780 + 0.803148i \(0.296843\pi\)
\(212\) 58239.3 80159.6i 0.0889973 0.122494i
\(213\) 5553.65 895469.i 0.00838744 1.35239i
\(214\) −55393.5 + 170484.i −0.0826846 + 0.254477i
\(215\) −8951.76 + 27550.7i −0.0132072 + 0.0406477i
\(216\) 163897. + 538301.i 0.239021 + 0.785038i
\(217\) 171939. 236654.i 0.247871 0.341165i
\(218\) 867420. 281842.i 1.23620 0.401665i
\(219\) −79924.8 + 108584.i −0.112609 + 0.152988i
\(220\) 187562. 114366.i 0.261270 0.159309i
\(221\) 268047.i 0.369174i
\(222\) 69493.9 209451.i 0.0946377 0.285234i
\(223\) −288213. 209399.i −0.388106 0.281976i 0.376573 0.926387i \(-0.377102\pi\)
−0.764679 + 0.644411i \(0.777102\pi\)
\(224\) −298592. 410977.i −0.397611 0.547264i
\(225\) −197894. 2454.75i −0.260601 0.00323260i
\(226\) −42397.8 13775.9i −0.0552170 0.0179411i
\(227\) −825282. + 599603.i −1.06301 + 0.772323i −0.974643 0.223765i \(-0.928165\pi\)
−0.0883680 + 0.996088i \(0.528165\pi\)
\(228\) −386120. + 122816.i −0.491910 + 0.156465i
\(229\) 145954. + 449201.i 0.183920 + 0.566046i 0.999928 0.0119937i \(-0.00381779\pi\)
−0.816009 + 0.578040i \(0.803818\pi\)
\(230\) −706337. −0.880425
\(231\) 403322. 950970.i 0.497304 1.17257i
\(232\) −378193. −0.461311
\(233\) 148920. + 458328.i 0.179706 + 0.553078i 0.999817 0.0191263i \(-0.00608847\pi\)
−0.820111 + 0.572204i \(0.806088\pi\)
\(234\) −1.57779e6 534379.i −1.88369 0.637984i
\(235\) −789173. + 573368.i −0.932186 + 0.677273i
\(236\) 119953. + 38975.0i 0.140194 + 0.0455519i
\(237\) 25012.5 + 34879.7i 0.0289259 + 0.0403368i
\(238\) 154537. + 212701.i 0.176843 + 0.243404i
\(239\) −247184. 179590.i −0.279915 0.203370i 0.438966 0.898504i \(-0.355345\pi\)
−0.718880 + 0.695134i \(0.755345\pi\)
\(240\) 1.13945e6 + 378058.i 1.27693 + 0.423673i
\(241\) 181266.i 0.201036i −0.994935 0.100518i \(-0.967950\pi\)
0.994935 0.100518i \(-0.0320500\pi\)
\(242\) −723473. 729930.i −0.794116 0.801203i
\(243\) 920040. + 28539.0i 0.999519 + 0.0310044i
\(244\) 218850. 71108.8i 0.235327 0.0764625i
\(245\) 385808. 531019.i 0.410635 0.565190i
\(246\) 8602.24 + 53.3506i 0.00906304 + 5.62085e-5i
\(247\) −989348. + 3.04490e6i −1.03183 + 3.17564i
\(248\) 81321.4 250281.i 0.0839606 0.258404i
\(249\) −529686. 3285.08i −0.541402 0.00335775i
\(250\) 543957. 748693.i 0.550446 0.757624i
\(251\) −1.23626e6 + 401686.i −1.23859 + 0.402441i −0.853817 0.520573i \(-0.825719\pi\)
−0.384768 + 0.923013i \(0.625719\pi\)
\(252\) −334132. + 104002.i −0.331449 + 0.103167i
\(253\) 163686. + 688536.i 0.160772 + 0.676278i
\(254\) 635337.i 0.617902i
\(255\) −231709. 76878.8i −0.223148 0.0740382i
\(256\) −646775. 469910.i −0.616813 0.448141i
\(257\) 534229. + 735304.i 0.504539 + 0.694439i 0.982987 0.183678i \(-0.0588002\pi\)
−0.478447 + 0.878116i \(0.658800\pi\)
\(258\) −26755.4 37310.0i −0.0250243 0.0348961i
\(259\) −348379. 113195.i −0.322703 0.104853i
\(260\) −475749. + 345652.i −0.436460 + 0.317107i
\(261\) −198460. + 585966.i −0.180332 + 0.532440i
\(262\) −294199. 905452.i −0.264782 0.814915i
\(263\) 1.31581e6 1.17302 0.586508 0.809943i \(-0.300502\pi\)
0.586508 + 0.809943i \(0.300502\pi\)
\(264\) 80711.9 925779.i 0.0712734 0.817519i
\(265\) 713056. 0.623748
\(266\) 970398. + 2.98658e6i 0.840903 + 2.58803i
\(267\) 483934. 153928.i 0.415439 0.132142i
\(268\) 117918. 85672.1i 0.100286 0.0728622i
\(269\) 1.04275e6 + 338809.i 0.878615 + 0.285479i 0.713382 0.700775i \(-0.247163\pi\)
0.165233 + 0.986255i \(0.447163\pi\)
\(270\) 914461. 1.21063e6i 0.763406 1.01065i
\(271\) −1.03459e6 1.42399e6i −0.855749 1.17784i −0.982567 0.185911i \(-0.940476\pi\)
0.126818 0.991926i \(-0.459524\pi\)
\(272\) 247691. + 179958.i 0.202997 + 0.147486i
\(273\) −870763. + 2.62444e6i −0.707120 + 2.13123i
\(274\) 1.21902e6i 0.980925i
\(275\) 301687. + 125749.i 0.240561 + 0.100270i
\(276\) 142128. 193092.i 0.112307 0.152578i
\(277\) −591596. + 192221.i −0.463261 + 0.150523i −0.531342 0.847157i \(-0.678312\pi\)
0.0680814 + 0.997680i \(0.478312\pi\)
\(278\) 504256. 694048.i 0.391326 0.538614i
\(279\) −345107. 257335.i −0.265426 0.197920i
\(280\) 475737. 1.46417e6i 0.362637 1.11608i
\(281\) −195108. + 600480.i −0.147404 + 0.453662i −0.997312 0.0732681i \(-0.976657\pi\)
0.849908 + 0.526930i \(0.176657\pi\)
\(282\) 9588.09 1.54598e6i 0.00717975 1.15766i
\(283\) 1.28727e6 1.77177e6i 0.955440 1.31505i 0.00637161 0.999980i \(-0.497972\pi\)
0.949068 0.315070i \(-0.102028\pi\)
\(284\) 476489. 154821.i 0.350556 0.113903i
\(285\) −2.34836e6 1.72853e6i −1.71258 1.26057i
\(286\) 2.08797e6 + 1.79133e6i 1.50942 + 1.29497i
\(287\) 14279.2i 0.0102329i
\(288\) −610220. + 431889.i −0.433516 + 0.306825i
\(289\) 1.09832e6 + 797976.i 0.773543 + 0.562012i
\(290\) 599370. + 824962.i 0.418504 + 0.576022i
\(291\) 1.38046e6 989943.i 0.955636 0.685295i
\(292\) −71742.2 23310.4i −0.0492399 0.0159990i
\(293\) −338985. + 246287.i −0.230681 + 0.167600i −0.697122 0.716953i \(-0.745536\pi\)
0.466440 + 0.884553i \(0.345536\pi\)
\(294\) 315322. + 991339.i 0.212758 + 0.668888i
\(295\) 280487. + 863250.i 0.187654 + 0.577539i
\(296\) −329544. −0.218617
\(297\) −1.39203e6 610864.i −0.915710 0.401840i
\(298\) 71041.1 0.0463414
\(299\) −585432. 1.80177e6i −0.378703 1.16553i
\(300\) −33562.9 105518.i −0.0215306 0.0676899i
\(301\) −61654.7 + 44794.8i −0.0392239 + 0.0284978i
\(302\) −2.03099e6 659909.i −1.28142 0.416358i
\(303\) 2.32097e6 1.66439e6i 1.45232 1.04147i
\(304\) 2.14945e6 + 2.95846e6i 1.33396 + 1.83604i
\(305\) 1.33975e6 + 973387.i 0.824660 + 0.599150i
\(306\) 315820. 223525.i 0.192813 0.136465i
\(307\) 1.55308e6i 0.940476i −0.882540 0.470238i \(-0.844168\pi\)
0.882540 0.470238i \(-0.155832\pi\)
\(308\) 576044. + 46623.2i 0.346002 + 0.0280043i
\(309\) −272330. 200452.i −0.162256 0.119430i
\(310\) −674825. + 219264.i −0.398829 + 0.129587i
\(311\) −1.90165e6 + 2.61739e6i −1.11488 + 1.53450i −0.300861 + 0.953668i \(0.597274\pi\)
−0.814021 + 0.580835i \(0.802726\pi\)
\(312\) −15427.7 + 2.48756e6i −0.00897251 + 1.44673i
\(313\) 7240.36 22283.5i 0.00417733 0.0128565i −0.948946 0.315438i \(-0.897849\pi\)
0.953123 + 0.302582i \(0.0978485\pi\)
\(314\) −575437. + 1.77101e6i −0.329362 + 1.01367i
\(315\) −2.01891e6 1.50543e6i −1.14641 0.854840i
\(316\) −14114.9 + 19427.5i −0.00795170 + 0.0109446i
\(317\) 2.62587e6 853196.i 1.46766 0.476871i 0.537258 0.843418i \(-0.319460\pi\)
0.930400 + 0.366547i \(0.119460\pi\)
\(318\) −669920. + 910142.i −0.371497 + 0.504710i
\(319\) 665273. 775441.i 0.366036 0.426650i
\(320\) 1.23223e6i 0.672693i
\(321\) 137897. 415614.i 0.0746949 0.225127i
\(322\) −1.50332e6 1.09223e6i −0.808003 0.587048i
\(323\) −437094. 601608.i −0.233114 0.320854i
\(324\) 146944. + 493587.i 0.0777661 + 0.261217i
\(325\) −832104. 270367.i −0.436988 0.141986i
\(326\) 2.56674e6 1.86484e6i 1.33763 0.971848i
\(327\) −2.12318e6 + 675334.i −1.09804 + 0.349260i
\(328\) −3969.67 12217.4i −0.00203737 0.00627037i
\(329\) −2.56624e6 −1.30710
\(330\) −2.14734e6 + 1.29114e6i −1.08546 + 0.652662i
\(331\) −1.24510e6 −0.624645 −0.312322 0.949976i \(-0.601107\pi\)
−0.312322 + 0.949976i \(0.601107\pi\)
\(332\) −91579.3 281852.i −0.0455987 0.140338i
\(333\) −172931. + 510589.i −0.0854598 + 0.252325i
\(334\) −3.05352e6 + 2.21851e6i −1.49773 + 1.08817i
\(335\) 997592. + 324137.i 0.485670 + 0.157804i
\(336\) 1.84053e6 + 2.56660e6i 0.889396 + 1.24025i
\(337\) −2102.21 2893.44i −0.00100833 0.00138784i 0.808513 0.588479i \(-0.200273\pi\)
−0.809521 + 0.587091i \(0.800273\pi\)
\(338\) −4.04104e6 2.93599e6i −1.92398 1.39786i
\(339\) 103360. + 34293.7i 0.0488485 + 0.0162075i
\(340\) 136587.i 0.0640784i
\(341\) 370122. + 607006.i 0.172369 + 0.282688i
\(342\) 4.41259e6 1.37347e6i 2.03999 0.634969i
\(343\) −997091. + 323974.i −0.457614 + 0.148688i
\(344\) −40299.0 + 55466.8i −0.0183611 + 0.0252719i
\(345\) 1.72542e6 + 10701.0i 0.780454 + 0.00484033i
\(346\) −313882. + 966030.i −0.140954 + 0.433811i
\(347\) 10866.5 33443.6i 0.00484469 0.0149104i −0.948605 0.316463i \(-0.897505\pi\)
0.953450 + 0.301552i \(0.0975048\pi\)
\(348\) −346125. 2146.65i −0.153209 0.000950196i
\(349\) −1.53885e6 + 2.11804e6i −0.676289 + 0.930833i −0.999882 0.0153640i \(-0.995109\pi\)
0.323593 + 0.946197i \(0.395109\pi\)
\(350\) −816166. + 265188.i −0.356130 + 0.115714i
\(351\) 3.84608e6 + 1.32927e6i 1.66629 + 0.575898i
\(352\) 1.20117e6 285554.i 0.516710 0.122838i
\(353\) 3.17579e6i 1.35649i −0.734838 0.678243i \(-0.762742\pi\)
0.734838 0.678243i \(-0.237258\pi\)
\(354\) −1.36537e6 453016.i −0.579084 0.192134i
\(355\) 2.91696e6 + 2.11930e6i 1.22846 + 0.892526i
\(356\) 167002. + 229858.i 0.0698386 + 0.0961246i
\(357\) −374275. 521922.i −0.155425 0.216738i
\(358\) −583808. 189691.i −0.240748 0.0782237i
\(359\) 1.18594e6 861632.i 0.485652 0.352847i −0.317858 0.948138i \(-0.602964\pi\)
0.803510 + 0.595292i \(0.202964\pi\)
\(360\) −2.14590e6 726793.i −0.872676 0.295566i
\(361\) −1.97954e6 6.09239e6i −0.799458 2.46048i
\(362\) −1.40333e6 −0.562846
\(363\) 1.75622e6 + 1.79401e6i 0.699540 + 0.714593i
\(364\) −1.54704e6 −0.611997
\(365\) −167755. 516298.i −0.0659089 0.202847i
\(366\) −2.50113e6 + 795552.i −0.975964 + 0.310432i
\(367\) 1.80872e6 1.31411e6i 0.700980 0.509292i −0.179271 0.983800i \(-0.557374\pi\)
0.880251 + 0.474508i \(0.157374\pi\)
\(368\) −2.05798e6 668680.i −0.792178 0.257394i
\(369\) −21012.5 260.647i −0.00803363 9.96521e-5i
\(370\) 522269. + 718841.i 0.198331 + 0.272979i
\(371\) 1.51762e6 + 1.10262e6i 0.572439 + 0.415901i
\(372\) 75846.5 228598.i 0.0284170 0.0856475i
\(373\) 608995.i 0.226643i 0.993558 + 0.113321i \(0.0361490\pi\)
−0.993558 + 0.113321i \(0.963851\pi\)
\(374\) −621665. + 147789.i −0.229814 + 0.0546340i
\(375\) −1.34011e6 + 1.82065e6i −0.492109 + 0.668570i
\(376\) −2.19569e6 + 713422.i −0.800941 + 0.260242i
\(377\) −1.60760e6 + 2.21267e6i −0.582537 + 0.801793i
\(378\) 3.81830e6 1.16256e6i 1.37449 0.418492i
\(379\) 368255. 1.13337e6i 0.131690 0.405299i −0.863371 0.504570i \(-0.831651\pi\)
0.995060 + 0.0992711i \(0.0316511\pi\)
\(380\) 504135. 1.55157e6i 0.179097 0.551203i
\(381\) −9625.32 + 1.55198e6i −0.00339705 + 0.547740i
\(382\) 3.29463e6 4.53467e6i 1.15518 1.58996i
\(383\) 3.43678e6 1.11668e6i 1.19717 0.388983i 0.358449 0.933549i \(-0.383306\pi\)
0.838718 + 0.544566i \(0.183306\pi\)
\(384\) 2.80876e6 + 2.06742e6i 0.972046 + 0.715486i
\(385\) 2.16524e6 + 3.55103e6i 0.744482 + 1.22096i
\(386\) 1.29076e6i 0.440939i
\(387\) 64792.0 + 91545.2i 0.0219910 + 0.0310712i
\(388\) 768899. + 558638.i 0.259292 + 0.188387i
\(389\) −2.16170e6 2.97532e6i −0.724304 0.996919i −0.999370 0.0354933i \(-0.988700\pi\)
0.275066 0.961425i \(-0.411300\pi\)
\(390\) 5.45061e6 3.90869e6i 1.81461 1.30128i
\(391\) 418495. + 135977.i 0.138436 + 0.0449805i
\(392\) 1.25678e6 913104.i 0.413089 0.300127i
\(393\) 704944. + 2.21627e6i 0.230236 + 0.723838i
\(394\) 17443.6 + 53685.9i 0.00566104 + 0.0174229i
\(395\) −172816. −0.0557304
\(396\) 79122.8 846822.i 0.0253550 0.271365i
\(397\) −3.40613e6 −1.08464 −0.542319 0.840173i \(-0.682453\pi\)
−0.542319 + 0.840173i \(0.682453\pi\)
\(398\) 399566. + 1.22974e6i 0.126439 + 0.389139i
\(399\) −2.32522e6 7.31023e6i −0.731191 2.29879i
\(400\) −808483. + 587397.i −0.252651 + 0.183562i
\(401\) 5.39643e6 + 1.75341e6i 1.67589 + 0.544530i 0.984107 0.177576i \(-0.0568256\pi\)
0.691783 + 0.722106i \(0.256826\pi\)
\(402\) −1.35097e6 + 968794.i −0.416947 + 0.298997i
\(403\) −1.11863e6 1.53966e6i −0.343102 0.472239i
\(404\) 1.29275e6 + 939237.i 0.394058 + 0.286300i
\(405\) −2.25216e6 + 2.94343e6i −0.682278 + 0.891694i
\(406\) 2.68262e6i 0.807688i
\(407\) 579694. 675690.i 0.173465 0.202191i
\(408\) −465327. 342509.i −0.138391 0.101864i
\(409\) 4.15200e6 1.34907e6i 1.22729 0.398772i 0.377561 0.925985i \(-0.376763\pi\)
0.849734 + 0.527212i \(0.176763\pi\)
\(410\) −20358.8 + 28021.5i −0.00598127 + 0.00823251i
\(411\) −18468.1 + 2.97780e6i −0.00539285 + 0.869542i
\(412\) 58462.7 179930.i 0.0169682 0.0522227i
\(413\) −737896. + 2.27101e6i −0.212873 + 0.655155i
\(414\) −1.63470e6 + 2.19227e6i −0.468746 + 0.628627i
\(415\) 1.25360e6 1.72543e6i 0.357305 0.491788i
\(416\) −3.14324e6 + 1.02130e6i −0.890520 + 0.289347i
\(417\) −1.24230e6 + 1.68776e6i −0.349852 + 0.475304i
\(418\) −7.60732e6 615713.i −2.12956 0.172360i
\(419\) 5.39472e6i 1.50118i 0.660766 + 0.750592i \(0.270232\pi\)
−0.660766 + 0.750592i \(0.729768\pi\)
\(420\) 443708. 1.33732e6i 0.122737 0.369922i
\(421\) 4.39436e6 + 3.19269e6i 1.20834 + 0.877912i 0.995079 0.0990824i \(-0.0315907\pi\)
0.213263 + 0.976995i \(0.431591\pi\)
\(422\) −1.54485e6 2.12630e6i −0.422285 0.581225i
\(423\) −46843.0 + 3.77633e6i −0.0127290 + 1.02617i
\(424\) 1.60502e6 + 521502.i 0.433576 + 0.140877i
\(425\) 164406. 119448.i 0.0441516 0.0320780i
\(426\) −5.44556e6 + 1.73211e6i −1.45385 + 0.462435i
\(427\) 1.34627e6 + 4.14339e6i 0.357324 + 1.09973i
\(428\) 244994. 0.0646468
\(429\) −5.07330e6 4.40745e6i −1.33091 1.15623i
\(430\) 184858. 0.0482133
\(431\) −2.26099e6 6.95862e6i −0.586281 1.80439i −0.594063 0.804419i \(-0.702477\pi\)
0.00778166 0.999970i \(-0.497523\pi\)
\(432\) 3.81045e6 2.66157e6i 0.982353 0.686165i
\(433\) 2.49916e6 1.81574e6i 0.640581 0.465409i −0.219469 0.975619i \(-0.570432\pi\)
0.860050 + 0.510210i \(0.170432\pi\)
\(434\) −1.77531e6 576833.i −0.452428 0.147003i
\(435\) −1.45163e6 2.02427e6i −0.367817 0.512916i
\(436\) −732691. 1.00846e6i −0.184589 0.254064i
\(437\) 4.25203e6 + 3.08928e6i 1.06511 + 0.773844i
\(438\) 816608. + 270943.i 0.203389 + 0.0674826i
\(439\) 4.32339e6i 1.07069i −0.844634 0.535344i \(-0.820182\pi\)
0.844634 0.535344i \(-0.179818\pi\)
\(440\) 2.83979e6 + 2.43634e6i 0.699285 + 0.599937i
\(441\) −755240. 2.42639e6i −0.184922 0.594107i
\(442\) 1.62678e6 528574.i 0.396072 0.128692i
\(443\) 1.74337e6 2.39955e6i 0.422067 0.580925i −0.544043 0.839057i \(-0.683107\pi\)
0.966109 + 0.258133i \(0.0831072\pi\)
\(444\) −301601. 1870.51i −0.0726064 0.000450301i
\(445\) −631845. + 1.94462e6i −0.151255 + 0.465516i
\(446\) −702505. + 2.16209e6i −0.167229 + 0.514679i
\(447\) −173537. 1076.27i −0.0410794 0.000254772i
\(448\) 1.90543e6 2.62260e6i 0.448537 0.617358i
\(449\) −3.22799e6 + 1.04884e6i −0.755642 + 0.245523i −0.661407 0.750027i \(-0.730040\pi\)
−0.0942346 + 0.995550i \(0.530040\pi\)
\(450\) 375338. + 1.20586e6i 0.0873759 + 0.280716i
\(451\) 32033.3 + 13352.0i 0.00741583 + 0.00309105i
\(452\) 60928.0i 0.0140272i
\(453\) 4.95125e6 + 1.64278e6i 1.13362 + 0.376125i
\(454\) 5.26641e6 + 3.82627e6i 1.19915 + 0.871236i
\(455\) −6.54406e6 9.00713e6i −1.48190 2.03966i
\(456\) −4.02173e6 5.60825e6i −0.905734 1.26303i
\(457\) −7.36216e6 2.39211e6i −1.64898 0.535786i −0.670460 0.741946i \(-0.733903\pi\)
−0.978518 + 0.206160i \(0.933903\pi\)
\(458\) 2.43839e6 1.77160e6i 0.543175 0.394640i
\(459\) −774862. + 541235.i −0.171669 + 0.119910i
\(460\) 298314. + 918117.i 0.0657324 + 0.202304i
\(461\) −4.79758e6 −1.05140 −0.525702 0.850669i \(-0.676197\pi\)
−0.525702 + 0.850669i \(0.676197\pi\)
\(462\) −6.56678e6 572509.i −1.43136 0.124789i
\(463\) −6.98461e6 −1.51422 −0.757111 0.653286i \(-0.773390\pi\)
−0.757111 + 0.653286i \(0.773390\pi\)
\(464\) 965344. + 2.97102e6i 0.208155 + 0.640636i
\(465\) 1.65177e6 525388.i 0.354255 0.112680i
\(466\) 2.48794e6 1.80759e6i 0.530731 0.385599i
\(467\) −3.41250e6 1.10879e6i −0.724070 0.235264i −0.0762828 0.997086i \(-0.524305\pi\)
−0.647787 + 0.761822i \(0.724305\pi\)
\(468\) −28239.0 + 2.27654e6i −0.00595985 + 0.480464i
\(469\) 1.62199e6 + 2.23248e6i 0.340499 + 0.468657i
\(470\) 5.03598e6 + 3.65886e6i 1.05157 + 0.764013i
\(471\) 1.43249e6 4.31747e6i 0.297536 0.896761i
\(472\) 2.14822e6i 0.443838i
\(473\) −42838.9 180199.i −0.00880411 0.0370339i
\(474\) 162362. 220582.i 0.0331924 0.0450946i
\(475\) 2.30846e6 750064.i 0.469449 0.152533i
\(476\) 211208. 290703.i 0.0427261 0.0588074i
\(477\) 1.65025e6 2.21312e6i 0.332089 0.445358i
\(478\) −602500. + 1.85430e6i −0.120611 + 0.371203i
\(479\) −1.77291e6 + 5.45644e6i −0.353059 + 1.08660i 0.604068 + 0.796933i \(0.293546\pi\)
−0.957127 + 0.289670i \(0.906454\pi\)
\(480\) 18668.1 3.01004e6i 0.00369825 0.596305i
\(481\) −1.40080e6 + 1.92803e6i −0.276066 + 0.379973i
\(482\) −1.10011e6 + 357446.i −0.215683 + 0.0700798i
\(483\) 3.65573e6 + 2.69084e6i 0.713027 + 0.524832i
\(484\) −643231. + 1.24867e6i −0.124811 + 0.242289i
\(485\) 6.83971e6i 1.32033i
\(486\) −1.64106e6 5.64002e6i −0.315163 1.08315i
\(487\) −4.64208e6 3.37267e6i −0.886932 0.644394i 0.0481440 0.998840i \(-0.484669\pi\)
−0.935076 + 0.354446i \(0.884669\pi\)
\(488\) 2.30375e6 + 3.17084e6i 0.437910 + 0.602732i
\(489\) −6.29820e6 + 4.51650e6i −1.19109 + 0.854142i
\(490\) −3.98355e6 1.29433e6i −0.749515 0.243532i
\(491\) −5.85349e6 + 4.25281e6i −1.09575 + 0.796108i −0.980361 0.197213i \(-0.936811\pi\)
−0.115388 + 0.993321i \(0.536811\pi\)
\(492\) −3563.72 11204.0i −0.000663729 0.00208669i
\(493\) −196304. 604163.i −0.0363758 0.111953i
\(494\) 2.04305e7 3.76670
\(495\) 5.26502e6 3.12143e6i 0.965799 0.572585i
\(496\) −2.17374e6 −0.396738
\(497\) 2.93115e6 + 9.02115e6i 0.532288 + 1.63822i
\(498\) 1.02457e6 + 3.22115e6i 0.185127 + 0.582019i
\(499\) 835139. 606764.i 0.150144 0.109086i −0.510177 0.860069i \(-0.670420\pi\)
0.660321 + 0.750983i \(0.270420\pi\)
\(500\) −1.20291e6 390848.i −0.215182 0.0699170i
\(501\) 7.49265e6 5.37305e6i 1.33365 0.956371i
\(502\) 4.87567e6 + 6.71079e6i 0.863526 + 1.18854i
\(503\) −5.81008e6 4.22127e6i −1.02391 0.743915i −0.0568298 0.998384i \(-0.518099\pi\)
−0.967081 + 0.254469i \(0.918099\pi\)
\(504\) −3.44334e6 4.86512e6i −0.603814 0.853135i
\(505\) 1.14996e7i 2.00657i
\(506\) 3.85595e6 2.35117e6i 0.669508 0.408232i
\(507\) 9.82685e6 + 7.23317e6i 1.69783 + 1.24971i
\(508\) −825829. + 268328.i −0.141981 + 0.0461325i
\(509\) 3.77275e6 5.19275e6i 0.645452 0.888388i −0.353440 0.935457i \(-0.614988\pi\)
0.998892 + 0.0470689i \(0.0149880\pi\)
\(510\) −9661.68 + 1.55785e6i −0.00164485 + 0.265216i
\(511\) 441326. 1.35826e6i 0.0747665 0.230108i
\(512\) 635877. 1.95703e6i 0.107201 0.329930i
\(513\) −1.07998e7 + 3.28821e6i −1.81184 + 0.551654i
\(514\) 3.40910e6 4.69222e6i 0.569157 0.783377i
\(515\) 1.29488e6 420731.i 0.215135 0.0699015i
\(516\) −37196.8 + 50534.9i −0.00615008 + 0.00835540i
\(517\) 2.39961e6 5.75696e6i 0.394833 0.947256i
\(518\) 2.33753e6i 0.382766i
\(519\) 781378. 2.35504e6i 0.127334 0.383777i
\(520\) −8.10313e6 5.88727e6i −1.31415 0.954785i
\(521\) −2.10384e6 2.89569e6i −0.339562 0.467367i 0.604752 0.796414i \(-0.293272\pi\)
−0.944313 + 0.329047i \(0.893272\pi\)
\(522\) 3.94759e6 + 48967.3i 0.634097 + 0.00786557i
\(523\) −2.51594e6 817478.i −0.402203 0.130684i 0.100928 0.994894i \(-0.467819\pi\)
−0.503131 + 0.864210i \(0.667819\pi\)
\(524\) −1.05268e6 + 764816.i −0.167482 + 0.121683i
\(525\) 1.99773e6 635430.i 0.316328 0.100617i
\(526\) −2.59470e6 7.98568e6i −0.408906 1.25848i
\(527\) 442034. 0.0693313
\(528\) −7.47879e6 + 1.72901e6i −1.16747 + 0.269906i
\(529\) 3.32630e6 0.516800
\(530\) −1.40611e6 4.32755e6i −0.217434 0.669194i
\(531\) 3.32842e6 + 1.12730e6i 0.512273 + 0.173501i
\(532\) 3.47220e6 2.52270e6i 0.531895 0.386444i
\(533\) −88353.2 28707.7i −0.0134711 0.00437704i
\(534\) −1.88848e6 2.63346e6i −0.286589 0.399645i
\(535\) 1.03634e6 + 1.42639e6i 0.156537 + 0.215454i
\(536\) 2.00842e6 + 1.45920e6i 0.301955 + 0.219383i
\(537\) 1.42324e6 + 472216.i 0.212981 + 0.0706651i
\(538\) 6.99656e6i 1.04215i
\(539\) −338567. + 4.18310e6i −0.0501965 + 0.620193i
\(540\) −1.95982e6 677346.i −0.289222 0.0999600i
\(541\) 4.46010e6 1.44917e6i 0.655166 0.212876i 0.0374752 0.999298i \(-0.488068\pi\)
0.617690 + 0.786421i \(0.288068\pi\)
\(542\) −6.60209e6 + 9.08700e6i −0.965346 + 1.32869i
\(543\) 3.42802e6 + 21260.4i 0.498935 + 0.00309437i
\(544\) 237215. 730073.i 0.0343673 0.105772i
\(545\) 2.77211e6 8.53168e6i 0.399779 1.23039i
\(546\) 1.76448e7 + 109432.i 2.53301 + 0.0157096i
\(547\) −5.54735e6 + 7.63528e6i −0.792716 + 1.09108i 0.201049 + 0.979581i \(0.435565\pi\)
−0.993765 + 0.111499i \(0.964435\pi\)
\(548\) −1.58452e6 + 514842.i −0.225396 + 0.0732357i
\(549\) 6.12175e6 1.90546e6i 0.866851 0.269817i
\(550\) 168261. 2.07891e6i 0.0237179 0.293042i
\(551\) 7.58757e6i 1.06469i
\(552\) 3.87592e6 + 1.28599e6i 0.541411 + 0.179635i
\(553\) −367812. 267231.i −0.0511461 0.0371598i
\(554\) 2.33319e6 + 3.21136e6i 0.322980 + 0.444543i
\(555\) −1.26489e6 1.76388e6i −0.174310 0.243073i
\(556\) −1.11511e6 362321.i −0.152979 0.0497058i
\(557\) 4.83554e6 3.51323e6i 0.660400 0.479809i −0.206398 0.978468i \(-0.566174\pi\)
0.866798 + 0.498659i \(0.166174\pi\)
\(558\) −881240. + 2.60191e6i −0.119814 + 0.353759i
\(559\) 153215. + 471548.i 0.0207383 + 0.0638259i
\(560\) −1.27166e7 −1.71356
\(561\) 1.52082e6 351596.i 0.204020 0.0471669i
\(562\) 4.02906e6 0.538100
\(563\) −504183. 1.55171e6i −0.0670374 0.206320i 0.911926 0.410354i \(-0.134595\pi\)
−0.978964 + 0.204034i \(0.934595\pi\)
\(564\) −2.01356e6 + 640466.i −0.266542 + 0.0847809i
\(565\) −354732. + 257728.i −0.0467498 + 0.0339657i
\(566\) −1.32913e7 4.31862e6i −1.74393 0.566636i
\(567\) −9.34486e6 + 2.78203e6i −1.22072 + 0.363416i
\(568\) 5.01581e6 + 6.90367e6i 0.652334 + 0.897861i
\(569\) −8.37882e6 6.08757e6i −1.08493 0.788248i −0.106395 0.994324i \(-0.533931\pi\)
−0.978536 + 0.206076i \(0.933931\pi\)
\(570\) −5.85968e6 + 1.76608e7i −0.755417 + 2.27679i
\(571\) 6.73836e6i 0.864896i 0.901659 + 0.432448i \(0.142350\pi\)
−0.901659 + 0.432448i \(0.857650\pi\)
\(572\) 1.44659e6 3.47055e6i 0.184865 0.443515i
\(573\) −8.11673e6 + 1.10273e7i −1.03275 + 1.40307i
\(574\) −86660.9 + 28157.8i −0.0109785 + 0.00356713i
\(575\) −844232. + 1.16199e6i −0.106486 + 0.146565i
\(576\) −3.82449e6 2.85179e6i −0.480305 0.358147i
\(577\) −3.51561e6 + 1.08199e7i −0.439604 + 1.35296i 0.448691 + 0.893687i \(0.351890\pi\)
−0.888295 + 0.459274i \(0.848110\pi\)
\(578\) 2.67711e6 8.23928e6i 0.333308 1.02582i
\(579\) 19555.0 3.15304e6i 0.00242416 0.390871i
\(580\) 819171. 1.12749e6i 0.101112 0.139169i
\(581\) 5.33617e6 1.73383e6i 0.655827 0.213091i
\(582\) −8.73018e6 6.42594e6i −1.06835 0.786375i
\(583\) −3.89263e6 + 2.37353e6i −0.474321 + 0.289217i
\(584\) 1.28482e6i 0.155888i
\(585\) −1.33738e7 + 9.46545e6i −1.61572 + 1.14354i
\(586\) 2.16318e6 + 1.57164e6i 0.260225 + 0.189064i
\(587\) 6.02549e6 + 8.29338e6i 0.721767 + 0.993427i 0.999463 + 0.0327584i \(0.0104292\pi\)
−0.277696 + 0.960669i \(0.589571\pi\)
\(588\) 1.15540e6 828546.i 0.137812 0.0988264i
\(589\) 5.02132e6 + 1.63152e6i 0.596389 + 0.193778i
\(590\) 4.68597e6 3.40456e6i 0.554204 0.402653i
\(591\) −41797.4 131407.i −0.00492245 0.0154757i
\(592\) 841165. + 2.58884e6i 0.0986455 + 0.303600i
\(593\) 7.38912e6 0.862891 0.431446 0.902139i \(-0.358004\pi\)
0.431446 + 0.902139i \(0.358004\pi\)
\(594\) −962339. + 9.65285e6i −0.111908 + 1.12251i
\(595\) 2.58594e6 0.299451
\(596\) −30003.5 92341.2i −0.00345984 0.0106483i
\(597\) −957419. 3.01002e6i −0.109943 0.345648i
\(598\) −9.78056e6 + 7.10599e6i −1.11843 + 0.812590i
\(599\) −532729. 173094.i −0.0606651 0.0197113i 0.278527 0.960428i \(-0.410154\pi\)
−0.339192 + 0.940717i \(0.610154\pi\)
\(600\) 1.53261e6 1.09905e6i 0.173802 0.124635i
\(601\) −9.61781e6 1.32378e7i −1.08615 1.49496i −0.852564 0.522623i \(-0.824954\pi\)
−0.233587 0.972336i \(-0.575046\pi\)
\(602\) 393440. + 285851.i 0.0442473 + 0.0321476i
\(603\) 3.31479e6 2.34608e6i 0.371247 0.262754i
\(604\) 2.91864e6i 0.325528i
\(605\) −9.99084e6 + 1.53693e6i −1.10972 + 0.170713i
\(606\) −1.46780e7 1.08039e7i −1.62363 1.19509i
\(607\) 9.72739e6 3.16062e6i 1.07158 0.348177i 0.280477 0.959861i \(-0.409507\pi\)
0.791103 + 0.611683i \(0.209507\pi\)
\(608\) 5.38932e6 7.41776e6i 0.591255 0.813793i
\(609\) 40641.5 6.55303e6i 0.00444045 0.715976i
\(610\) 3.26559e6 1.00504e7i 0.355334 1.09360i
\(611\) −5.15930e6 + 1.58787e7i −0.559098 + 1.72073i
\(612\) −423927. 316108.i −0.0457522 0.0341159i
\(613\) 2.02916e6 2.79289e6i 0.218104 0.300195i −0.685919 0.727678i \(-0.740600\pi\)
0.904023 + 0.427483i \(0.140600\pi\)
\(614\) −9.42566e6 + 3.06258e6i −1.00900 + 0.327844i
\(615\) 50156.5 68141.7i 0.00534736 0.00726483i
\(616\) 2.27665e6 + 9.57658e6i 0.241738 + 1.01685i
\(617\) 1.64327e7i 1.73779i −0.495001 0.868893i \(-0.664832\pi\)
0.495001 0.868893i \(-0.335168\pi\)
\(618\) −679525. + 2.04806e6i −0.0715705 + 0.215710i
\(619\) 9.15851e6 + 6.65405e6i 0.960724 + 0.698007i 0.953319 0.301966i \(-0.0976429\pi\)
0.00740487 + 0.999973i \(0.497643\pi\)
\(620\) 570011. + 784552.i 0.0595530 + 0.0819677i
\(621\) 4.02642e6 5.33044e6i 0.418976 0.554670i
\(622\) 1.96349e7 + 6.37978e6i 2.03495 + 0.661195i
\(623\) −4.35179e6 + 3.16176e6i −0.449209 + 0.326369i
\(624\) 1.95812e7 6.22833e6i 2.01316 0.640339i
\(625\) −3.59926e6 1.10774e7i −0.368564 1.13432i
\(626\) −149517. −0.0152494
\(627\) 1.85736e7 + 1.61930e6i 1.88681 + 0.164497i
\(628\) 2.54504e6 0.257511
\(629\) −171052. 526445.i −0.0172386 0.0530550i
\(630\) −5.15532e6 + 1.52214e7i −0.517493 + 1.52793i
\(631\) −6.27841e6 + 4.56153e6i −0.627735 + 0.456076i −0.855615 0.517613i \(-0.826821\pi\)
0.227880 + 0.973689i \(0.426821\pi\)
\(632\) −388992. 126391.i −0.0387390 0.0125871i
\(633\) 3.74150e6 + 5.21748e6i 0.371139 + 0.517549i
\(634\) −1.03561e7 1.42540e7i −1.02323 1.40836i
\(635\) −5.05554e6 3.67306e6i −0.497546 0.361488i
\(636\) 1.46596e6 + 486392.i 0.143708 + 0.0476808i
\(637\) 1.12343e7i 1.09698i
\(638\) −6.01804e6 2.50843e6i −0.585334 0.243978i
\(639\) 1.33285e7 4.14864e6i 1.29131 0.401933i
\(640\) −1.33551e7 + 4.33934e6i −1.28884 + 0.418768i
\(641\) 8.39551e6 1.15554e7i 0.807053 1.11081i −0.184718 0.982791i \(-0.559137\pi\)
0.991771 0.128022i \(-0.0408627\pi\)
\(642\) −2.79429e6 17330.0i −0.267568 0.00165944i
\(643\) 5.73327e6 1.76452e7i 0.546858 1.68306i −0.169673 0.985500i \(-0.554271\pi\)
0.716531 0.697555i \(-0.245729\pi\)
\(644\) −784796. + 2.41535e6i −0.0745662 + 0.229491i
\(645\) −451566. 2800.59i −0.0427387 0.000265063i
\(646\) −2.78925e6 + 3.83907e6i −0.262970 + 0.361947i
\(647\) 1.26368e7 4.10594e6i 1.18679 0.385613i 0.351908 0.936035i \(-0.385533\pi\)
0.834887 + 0.550422i \(0.185533\pi\)
\(648\) −7.22209e6 + 4.97821e6i −0.675655 + 0.465732i
\(649\) −4.40468e6 3.77890e6i −0.410490 0.352171i
\(650\) 5.58320e6i 0.518322i
\(651\) 4.32793e6 + 1.43597e6i 0.400247 + 0.132798i
\(652\) −3.50801e6 2.54872e6i −0.323178 0.234803i
\(653\) 5.40034e6 + 7.43294e6i 0.495608 + 0.682146i 0.981410 0.191923i \(-0.0614723\pi\)
−0.485802 + 0.874069i \(0.661472\pi\)
\(654\) 8.28539e6 + 1.15539e7i 0.757476 + 1.05629i
\(655\) −8.90576e6 2.89366e6i −0.811087 0.263538i
\(656\) −85845.1 + 62370.1i −0.00778853 + 0.00565870i
\(657\) −1.99068e6 674222.i −0.179924 0.0609382i
\(658\) 5.06048e6 + 1.55746e7i 0.455645 + 1.40233i
\(659\) −1.28416e7 −1.15188 −0.575940 0.817492i \(-0.695364\pi\)
−0.575940 + 0.817492i \(0.695364\pi\)
\(660\) 2.58516e6 + 2.24587e6i 0.231009 + 0.200690i
\(661\) 4.86970e6 0.433510 0.216755 0.976226i \(-0.430453\pi\)
0.216755 + 0.976226i \(0.430453\pi\)
\(662\) 2.45526e6 + 7.55651e6i 0.217747 + 0.670157i
\(663\) −3.98187e6 + 1.26654e6i −0.351806 + 0.111901i
\(664\) 4.08365e6 2.96694e6i 0.359441 0.261149i
\(665\) 2.93751e7 + 9.54455e6i 2.57588 + 0.836954i
\(666\) 3.43978e6 + 42668.3i 0.300501 + 0.00372752i
\(667\) 2.63906e6 + 3.63235e6i 0.229686 + 0.316135i
\(668\) 4.17330e6 + 3.03208e6i 0.361858 + 0.262905i
\(669\) 1.74882e6 5.27085e6i 0.151070 0.455318i
\(670\) 6.69358e6i 0.576065i
\(671\) −1.05539e7 854201.i −0.904913 0.0732409i
\(672\) 4.69423e6 6.37750e6i 0.400997 0.544788i
\(673\) −1.12009e6 + 363940.i −0.0953270 + 0.0309736i −0.356292 0.934375i \(-0.615959\pi\)
0.260965 + 0.965348i \(0.415959\pi\)
\(674\) −13414.9 + 18464.0i −0.00113746 + 0.00156558i
\(675\) −898597. 2.95134e6i −0.0759111 0.249321i
\(676\) −2.10959e6 + 6.49264e6i −0.177554 + 0.546455i
\(677\) −2.85334e6 + 8.78169e6i −0.239267 + 0.736388i 0.757260 + 0.653114i \(0.226538\pi\)
−0.996527 + 0.0832740i \(0.973462\pi\)
\(678\) 4309.83 694916.i 0.000360069 0.0580575i
\(679\) −1.05764e7 + 1.45572e7i −0.880368 + 1.21172i
\(680\) 2.21254e6 718898.i 0.183493 0.0596204i
\(681\) −1.28067e7 9.42649e6i −1.05820 0.778901i
\(682\) 2.95407e6 3.44325e6i 0.243198 0.283471i
\(683\) 6.95583e6i 0.570555i 0.958445 + 0.285277i \(0.0920857\pi\)
−0.958445 + 0.285277i \(0.907914\pi\)
\(684\) −3.64888e6 5.15554e6i −0.298208 0.421341i
\(685\) −9.70008e6 7.04752e6i −0.789858 0.573865i
\(686\) 3.93241e6 + 5.41250e6i 0.319043 + 0.439124i
\(687\) −5.98328e6 + 4.29066e6i −0.483668 + 0.346843i
\(688\) 538602. + 175002.i 0.0433807 + 0.0140953i
\(689\) 9.87359e6 7.17358e6i 0.792368 0.575689i
\(690\) −3.33749e6 1.04927e7i −0.266868 0.839006i
\(691\) 4.35448e6 + 1.34017e7i 0.346930 + 1.06774i 0.960543 + 0.278133i \(0.0897156\pi\)
−0.613613 + 0.789607i \(0.710284\pi\)
\(692\) 1.38824e6 0.110204
\(693\) 1.60325e7 + 1.49800e6i 1.26814 + 0.118489i
\(694\) −224398. −0.0176856
\(695\) −2.60747e6 8.02498e6i −0.204766 0.630205i
\(696\) −1.78699e6 5.61810e6i −0.139829 0.439609i
\(697\) 17456.7 12683.1i 0.00136107 0.000988876i
\(698\) 1.58890e7 + 5.16264e6i 1.23440 + 0.401082i
\(699\) −6.10485e6 + 4.37784e6i −0.472587 + 0.338897i
\(700\) 689399. + 948876.i 0.0531772 + 0.0731921i
\(701\) 194322. + 141184.i 0.0149358 + 0.0108515i 0.595228 0.803557i \(-0.297062\pi\)
−0.580292 + 0.814408i \(0.697062\pi\)
\(702\) 483116. 2.59631e7i 0.0370006 1.98845i
\(703\) 6.61153e6i 0.504561i
\(704\) 4.10169e6 + 6.72685e6i 0.311912 + 0.511540i
\(705\) −1.22463e7 9.01404e6i −0.927968 0.683041i
\(706\) −1.92739e7 + 6.26248e6i −1.45532 + 0.472862i
\(707\) −1.77821e7 + 2.44750e7i −1.33794 + 1.84151i
\(708\) −12193.5 + 1.96607e6i −0.000914206 + 0.147406i
\(709\) −1.28031e6 + 3.94038e6i −0.0956530 + 0.294390i −0.987423 0.158099i \(-0.949464\pi\)
0.891770 + 0.452488i \(0.149464\pi\)
\(710\) 7.10996e6 2.18822e7i 0.529324 1.62909i
\(711\) −399955. + 536372.i −0.0296714 + 0.0397917i
\(712\) −2.84443e6 + 3.91503e6i −0.210279 + 0.289424i
\(713\) −2.97129e6 + 965430.i −0.218888 + 0.0711209i
\(714\) −2.42950e6 + 3.30068e6i −0.178350 + 0.242303i
\(715\) 2.63252e7 6.25832e6i 1.92578 0.457818i
\(716\) 838964.i 0.0611590i
\(717\) 1.49986e6 4.52051e6i 0.108957 0.328390i
\(718\) −7.56786e6 5.49837e6i −0.547850 0.398036i
\(719\) 1.32128e6 + 1.81859e6i 0.0953178 + 0.131194i 0.854012 0.520253i \(-0.174162\pi\)
−0.758694 + 0.651447i \(0.774162\pi\)
\(720\) −232123. + 1.87130e7i −0.0166873 + 1.34528i
\(721\) 3.40652e6 + 1.10685e6i 0.244047 + 0.0792956i
\(722\) −3.30713e7 + 2.40277e7i −2.36106 + 1.71541i
\(723\) 2.69272e6 856492.i 0.191578 0.0609365i
\(724\) 592684. + 1.82409e6i 0.0420220 + 0.129330i
\(725\) 2.07352e6 0.146508
\(726\) 7.42472e6 1.41962e7i 0.522803 0.999612i
\(727\) −6.02807e6 −0.423002 −0.211501 0.977378i \(-0.567835\pi\)
−0.211501 + 0.977378i \(0.567835\pi\)
\(728\) −8.14255e6 2.50602e7i −0.569419 1.75249i
\(729\) 3.92330e6 + 1.38021e7i 0.273421 + 0.961894i
\(730\) −2.80262e6 + 2.03622e6i −0.194651 + 0.141422i
\(731\) −109526. 35587.0i −0.00758092 0.00246319i
\(732\) 2.09041e6 + 2.91505e6i 0.144196 + 0.201080i
\(733\) 3.85271e6 + 5.30280e6i 0.264854 + 0.364540i 0.920644 0.390403i \(-0.127664\pi\)
−0.655790 + 0.754943i \(0.727664\pi\)
\(734\) −1.15420e7 8.38578e6i −0.790756 0.574518i
\(735\) 9.71130e6 + 3.22211e6i 0.663069 + 0.220000i
\(736\) 5.42553e6i 0.369188i
\(737\) −6.52489e6 + 1.55117e6i −0.442491 + 0.105194i
\(738\) 39853.6 + 128039.i 0.00269356 + 0.00865370i
\(739\) −1.33806e7 + 4.34761e6i −0.901288 + 0.292846i −0.722769 0.691090i \(-0.757131\pi\)
−0.178520 + 0.983936i \(0.557131\pi\)
\(740\) 713795. 982455.i 0.0479175 0.0659528i
\(741\) −4.99070e7 309521.i −3.33900 0.0207083i
\(742\) 3.69914e6 1.13848e7i 0.246656 0.759128i
\(743\) 6.71131e6 2.06553e7i 0.446001 1.37265i −0.435382 0.900246i \(-0.643387\pi\)
0.881383 0.472403i \(-0.156613\pi\)
\(744\) 4.10220e6 + 25441.6i 0.271697 + 0.00168505i
\(745\) 410709. 565292.i 0.0271109 0.0373149i
\(746\) 3.69600e6 1.20090e6i 0.243156 0.0790062i
\(747\) −2.45400e6 7.88405e6i −0.160906 0.516949i
\(748\) 454654. + 745640.i 0.0297116 + 0.0487276i
\(749\) 4.63836e6i 0.302107i
\(750\) 1.36921e7 + 4.54292e6i 0.888829 + 0.294905i
\(751\) −387022. 281188.i −0.0250401 0.0181927i 0.575195 0.818016i \(-0.304926\pi\)
−0.600235 + 0.799824i \(0.704926\pi\)
\(752\) 1.12091e7 + 1.54279e7i 0.722810 + 0.994863i
\(753\) −1.18085e7 1.64668e7i −0.758939 1.05833i
\(754\) 1.65988e7 + 5.39327e6i 1.06328 + 0.345481i
\(755\) −1.69928e7 + 1.23460e7i −1.08492 + 0.788240i
\(756\) −3.12375e6 4.47214e6i −0.198780 0.284584i
\(757\) 1.25664e6 + 3.86752e6i 0.0797020 + 0.245298i 0.982966 0.183788i \(-0.0588359\pi\)
−0.903264 + 0.429085i \(0.858836\pi\)
\(758\) −7.60464e6 −0.480735
\(759\) −9.45484e6 + 5.68495e6i −0.595730 + 0.358197i
\(760\) 2.77869e7 1.74504
\(761\) 1.36555e6 + 4.20272e6i 0.0854762 + 0.263069i 0.984655 0.174513i \(-0.0558351\pi\)
−0.899179 + 0.437582i \(0.855835\pi\)