Properties

Label 33.6.f.a.17.10
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 17.10
Character \(\chi\) \(=\) 33.17
Dual form 33.6.f.a.2.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.489986 + 1.50802i) q^{2} +(4.79885 + 14.8314i) q^{3} +(23.8545 - 17.3313i) q^{4} +(16.6412 + 5.40705i) q^{5} +(-20.0147 + 14.5039i) q^{6} +(36.5406 + 50.2938i) q^{7} +(78.8739 + 57.3052i) q^{8} +(-196.942 + 142.348i) q^{9} +O(q^{10})\) \(q+(0.489986 + 1.50802i) q^{2} +(4.79885 + 14.8314i) q^{3} +(23.8545 - 17.3313i) q^{4} +(16.6412 + 5.40705i) q^{5} +(-20.0147 + 14.5039i) q^{6} +(36.5406 + 50.2938i) q^{7} +(78.8739 + 57.3052i) q^{8} +(-196.942 + 142.348i) q^{9} +27.7446i q^{10} +(-56.2699 + 397.347i) q^{11} +(371.522 + 270.626i) q^{12} +(283.554 - 92.1323i) q^{13} +(-57.9397 + 79.7472i) q^{14} +(-0.335654 + 272.760i) q^{15} +(243.801 - 750.343i) q^{16} +(320.060 - 985.043i) q^{17} +(-311.162 - 227.244i) q^{18} +(-821.679 + 1130.94i) q^{19} +(490.678 - 159.431i) q^{20} +(-570.575 + 783.301i) q^{21} +(-626.779 + 109.838i) q^{22} -3741.39i q^{23} +(-471.414 + 1444.81i) q^{24} +(-2280.49 - 1656.87i) q^{25} +(277.875 + 382.462i) q^{26} +(-3056.31 - 2237.83i) q^{27} +(1743.31 + 566.437i) q^{28} +(5353.85 - 3889.80i) q^{29} +(-411.492 + 133.142i) q^{30} +(-153.897 - 473.647i) q^{31} +4370.78 q^{32} +(-6163.25 + 1072.25i) q^{33} +1642.29 q^{34} +(336.137 + 1034.52i) q^{35} +(-2230.89 + 6808.89i) q^{36} +(219.834 - 159.719i) q^{37} +(-2108.10 - 684.962i) q^{38} +(2727.19 + 3763.38i) q^{39} +(1002.70 + 1380.10i) q^{40} +(-3713.69 - 2698.16i) q^{41} +(-1460.81 - 476.633i) q^{42} +14178.6i q^{43} +(5544.25 + 10453.7i) q^{44} +(-4047.03 + 1303.96i) q^{45} +(5642.09 - 1833.23i) q^{46} +(-2154.98 + 2966.08i) q^{47} +(12298.6 + 15.1345i) q^{48} +(3999.40 - 12308.9i) q^{49} +(1381.19 - 4250.86i) q^{50} +(16145.5 + 19.8684i) q^{51} +(5167.27 - 7112.13i) q^{52} +(-12551.7 + 4078.31i) q^{53} +(1877.14 - 5705.48i) q^{54} +(-3084.87 + 6308.07i) q^{55} +6060.83i q^{56} +(-20716.6 - 6759.43i) q^{57} +(8489.21 + 6167.78i) q^{58} +(-5225.12 - 7191.76i) q^{59} +(4719.28 + 6512.37i) q^{60} +(-22984.9 - 7468.24i) q^{61} +(638.862 - 464.160i) q^{62} +(-14355.6 - 4703.50i) q^{63} +(-5660.01 - 17419.7i) q^{64} +5216.84 q^{65} +(-4636.87 - 8768.93i) q^{66} -53935.1 q^{67} +(-9437.22 - 29044.8i) q^{68} +(55490.1 - 17954.4i) q^{69} +(-1395.38 + 1013.80i) q^{70} +(9422.92 + 3061.69i) q^{71} +(-23690.9 - 58.3073i) q^{72} +(3525.13 + 4851.93i) q^{73} +(348.575 + 253.255i) q^{74} +(13630.0 - 41773.9i) q^{75} +41218.9i q^{76} +(-22040.2 + 11689.3i) q^{77} +(-4338.97 + 5956.65i) q^{78} +(93972.6 - 30533.5i) q^{79} +(8114.28 - 11168.3i) q^{80} +(18523.4 - 56068.4i) q^{81} +(2249.22 - 6922.39i) q^{82} +(-35722.1 + 109941. i) q^{83} +(-35.1628 + 28574.1i) q^{84} +(10652.3 - 14661.7i) q^{85} +(-21381.6 + 6947.29i) q^{86} +(83383.6 + 60738.7i) q^{87} +(-27208.3 + 28115.8i) q^{88} +113660. i q^{89} +(-3949.38 - 5464.08i) q^{90} +(14994.9 + 10894.4i) q^{91} +(-64843.1 - 89248.9i) q^{92} +(6286.33 - 4555.47i) q^{93} +(-5528.82 - 1796.42i) q^{94} +(-19788.8 + 14377.4i) q^{95} +(20974.7 + 64824.9i) q^{96} +(5216.46 + 16054.6i) q^{97} +20521.7 q^{98} +(-45479.5 - 86264.2i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.489986 + 1.50802i 0.0866180 + 0.266583i 0.984979 0.172676i \(-0.0552412\pi\)
−0.898361 + 0.439258i \(0.855241\pi\)
\(3\) 4.79885 + 14.8314i 0.307846 + 0.951436i
\(4\) 23.8545 17.3313i 0.745453 0.541603i
\(5\) 16.6412 + 5.40705i 0.297687 + 0.0967242i 0.454052 0.890975i \(-0.349978\pi\)
−0.156366 + 0.987699i \(0.549978\pi\)
\(6\) −20.0147 + 14.5039i −0.226972 + 0.164478i
\(7\) 36.5406 + 50.2938i 0.281858 + 0.387944i 0.926348 0.376668i \(-0.122930\pi\)
−0.644490 + 0.764613i \(0.722930\pi\)
\(8\) 78.8739 + 57.3052i 0.435721 + 0.316570i
\(9\) −196.942 + 142.348i −0.810461 + 0.585792i
\(10\) 27.7446i 0.0877362i
\(11\) −56.2699 + 397.347i −0.140215 + 0.990121i
\(12\) 371.522 + 270.626i 0.744786 + 0.542520i
\(13\) 283.554 92.1323i 0.465347 0.151201i −0.0669529 0.997756i \(-0.521328\pi\)
0.532300 + 0.846556i \(0.321328\pi\)
\(14\) −57.9397 + 79.7472i −0.0790053 + 0.108741i
\(15\) −0.335654 + 272.760i −0.000385180 + 0.313006i
\(16\) 243.801 750.343i 0.238087 0.732756i
\(17\) 320.060 985.043i 0.268602 0.826671i −0.722240 0.691643i \(-0.756887\pi\)
0.990842 0.135029i \(-0.0431126\pi\)
\(18\) −311.162 227.244i −0.226363 0.165315i
\(19\) −821.679 + 1130.94i −0.522177 + 0.718715i −0.985913 0.167258i \(-0.946509\pi\)
0.463736 + 0.885974i \(0.346509\pi\)
\(20\) 490.678 159.431i 0.274298 0.0891247i
\(21\) −570.575 + 783.301i −0.282335 + 0.387597i
\(22\) −626.779 + 109.838i −0.276095 + 0.0483834i
\(23\) 3741.39i 1.47473i −0.675494 0.737366i \(-0.736069\pi\)
0.675494 0.737366i \(-0.263931\pi\)
\(24\) −471.414 + 1444.81i −0.167061 + 0.512015i
\(25\) −2280.49 1656.87i −0.729755 0.530198i
\(26\) 277.875 + 382.462i 0.0806150 + 0.110957i
\(27\) −3056.31 2237.83i −0.806842 0.590768i
\(28\) 1743.31 + 566.437i 0.420224 + 0.136539i
\(29\) 5353.85 3889.80i 1.18215 0.858880i 0.189735 0.981835i \(-0.439237\pi\)
0.992412 + 0.122955i \(0.0392371\pi\)
\(30\) −411.492 + 133.142i −0.0834754 + 0.0270093i
\(31\) −153.897 473.647i −0.0287625 0.0885218i 0.935645 0.352943i \(-0.114819\pi\)
−0.964407 + 0.264421i \(0.914819\pi\)
\(32\) 4370.78 0.754544
\(33\) −6163.25 + 1072.25i −0.985202 + 0.171400i
\(34\) 1642.29 0.243642
\(35\) 336.137 + 1034.52i 0.0463817 + 0.142748i
\(36\) −2230.89 + 6808.89i −0.286894 + 0.875629i
\(37\) 219.834 159.719i 0.0263992 0.0191802i −0.574507 0.818499i \(-0.694806\pi\)
0.600907 + 0.799319i \(0.294806\pi\)
\(38\) −2108.10 684.962i −0.236827 0.0769498i
\(39\) 2727.19 + 3763.38i 0.287113 + 0.396202i
\(40\) 1002.70 + 1380.10i 0.0990883 + 0.136383i
\(41\) −3713.69 2698.16i −0.345022 0.250673i 0.401756 0.915747i \(-0.368400\pi\)
−0.746778 + 0.665074i \(0.768400\pi\)
\(42\) −1460.81 476.633i −0.127782 0.0416928i
\(43\) 14178.6i 1.16939i 0.811252 + 0.584697i \(0.198787\pi\)
−0.811252 + 0.584697i \(0.801213\pi\)
\(44\) 5544.25 + 10453.7i 0.431729 + 0.814030i
\(45\) −4047.03 + 1303.96i −0.297924 + 0.0959913i
\(46\) 5642.09 1833.23i 0.393138 0.127738i
\(47\) −2154.98 + 2966.08i −0.142298 + 0.195857i −0.874217 0.485535i \(-0.838625\pi\)
0.731919 + 0.681391i \(0.238625\pi\)
\(48\) 12298.6 + 15.1345i 0.770465 + 0.000948122i
\(49\) 3999.40 12308.9i 0.237960 0.732366i
\(50\) 1381.19 4250.86i 0.0781318 0.240465i
\(51\) 16145.5 + 19.8684i 0.869213 + 0.00106964i
\(52\) 5167.27 7112.13i 0.265004 0.364747i
\(53\) −12551.7 + 4078.31i −0.613782 + 0.199430i −0.599378 0.800466i \(-0.704585\pi\)
−0.0144044 + 0.999896i \(0.504585\pi\)
\(54\) 1877.14 5705.48i 0.0876016 0.266261i
\(55\) −3084.87 + 6308.07i −0.137509 + 0.281183i
\(56\) 6060.83i 0.258263i
\(57\) −20716.6 6759.43i −0.844562 0.275564i
\(58\) 8489.21 + 6167.78i 0.331358 + 0.240746i
\(59\) −5225.12 7191.76i −0.195419 0.268971i 0.700051 0.714093i \(-0.253160\pi\)
−0.895470 + 0.445122i \(0.853160\pi\)
\(60\) 4719.28 + 6512.37i 0.169238 + 0.233540i
\(61\) −22984.9 7468.24i −0.790893 0.256977i −0.114409 0.993434i \(-0.536497\pi\)
−0.676484 + 0.736457i \(0.736497\pi\)
\(62\) 638.862 464.160i 0.0211071 0.0153352i
\(63\) −14355.6 4703.50i −0.455690 0.149303i
\(64\) −5660.01 17419.7i −0.172730 0.531608i
\(65\) 5216.84 0.153152
\(66\) −4636.87 8768.93i −0.131028 0.247792i
\(67\) −53935.1 −1.46786 −0.733929 0.679226i \(-0.762316\pi\)
−0.733929 + 0.679226i \(0.762316\pi\)
\(68\) −9437.22 29044.8i −0.247498 0.761720i
\(69\) 55490.1 17954.4i 1.40311 0.453991i
\(70\) −1395.38 + 1013.80i −0.0340367 + 0.0247291i
\(71\) 9422.92 + 3061.69i 0.221840 + 0.0720802i 0.417828 0.908526i \(-0.362791\pi\)
−0.195988 + 0.980606i \(0.562791\pi\)
\(72\) −23690.9 58.3073i −0.538579 0.00132554i
\(73\) 3525.13 + 4851.93i 0.0774226 + 0.106563i 0.845972 0.533228i \(-0.179021\pi\)
−0.768549 + 0.639791i \(0.779021\pi\)
\(74\) 348.575 + 253.255i 0.00739975 + 0.00537623i
\(75\) 13630.0 41773.9i 0.279797 0.857535i
\(76\) 41218.9i 0.818582i
\(77\) −22040.2 + 11689.3i −0.423632 + 0.224678i
\(78\) −4338.97 + 5956.65i −0.0807514 + 0.110858i
\(79\) 93972.6 30533.5i 1.69408 0.550439i 0.706520 0.707693i \(-0.250264\pi\)
0.987558 + 0.157254i \(0.0502640\pi\)
\(80\) 8114.28 11168.3i 0.141751 0.195103i
\(81\) 18523.4 56068.4i 0.313695 0.949524i
\(82\) 2249.22 6922.39i 0.0369400 0.113690i
\(83\) −35722.1 + 109941.i −0.569170 + 1.75173i 0.0860541 + 0.996290i \(0.472574\pi\)
−0.655224 + 0.755435i \(0.727426\pi\)
\(84\) −35.1628 + 28574.1i −0.000543733 + 0.441849i
\(85\) 10652.3 14661.7i 0.159918 0.220109i
\(86\) −21381.6 + 6947.29i −0.311741 + 0.101291i
\(87\) 83383.6 + 60738.7i 1.18109 + 0.860334i
\(88\) −27208.3 + 28115.8i −0.374537 + 0.387029i
\(89\) 113660.i 1.52102i 0.649328 + 0.760509i \(0.275050\pi\)
−0.649328 + 0.760509i \(0.724950\pi\)
\(90\) −3949.38 5464.08i −0.0513952 0.0711068i
\(91\) 14994.9 + 10894.4i 0.189819 + 0.137912i
\(92\) −64843.1 89248.9i −0.798720 1.09934i
\(93\) 6286.33 4555.47i 0.0753684 0.0546168i
\(94\) −5528.82 1796.42i −0.0645376 0.0209695i
\(95\) −19788.8 + 14377.4i −0.224962 + 0.163445i
\(96\) 20974.7 + 64824.9i 0.232284 + 0.717900i
\(97\) 5216.46 + 16054.6i 0.0562920 + 0.173249i 0.975249 0.221108i \(-0.0709674\pi\)
−0.918957 + 0.394357i \(0.870967\pi\)
\(98\) 20521.7 0.215848
\(99\) −45479.5 86264.2i −0.466366 0.884592i
\(100\) −83115.6 −0.831156
\(101\) −13585.4 41811.5i −0.132516 0.407842i 0.862679 0.505751i \(-0.168785\pi\)
−0.995195 + 0.0979089i \(0.968785\pi\)
\(102\) 7881.10 + 24357.5i 0.0750044 + 0.231810i
\(103\) 111288. 80855.6i 1.03361 0.750960i 0.0645807 0.997912i \(-0.479429\pi\)
0.969028 + 0.246952i \(0.0794290\pi\)
\(104\) 27644.7 + 8982.30i 0.250627 + 0.0814337i
\(105\) −13730.4 + 9949.92i −0.121537 + 0.0880737i
\(106\) −12300.3 16930.0i −0.106329 0.146350i
\(107\) 85504.2 + 62122.4i 0.721985 + 0.524553i 0.887018 0.461736i \(-0.152773\pi\)
−0.165033 + 0.986288i \(0.552773\pi\)
\(108\) −111691. 412.338i −0.921425 0.00340169i
\(109\) 203698.i 1.64218i 0.570799 + 0.821090i \(0.306634\pi\)
−0.570799 + 0.821090i \(0.693366\pi\)
\(110\) −11024.2 1561.19i −0.0868695 0.0123019i
\(111\) 3423.81 + 2493.99i 0.0263756 + 0.0192126i
\(112\) 46646.2 15156.3i 0.351375 0.114169i
\(113\) 44187.0 60818.1i 0.325535 0.448061i −0.614612 0.788830i \(-0.710687\pi\)
0.940147 + 0.340769i \(0.110687\pi\)
\(114\) 42.5205 34553.1i 0.000306434 0.249015i
\(115\) 20229.9 62261.1i 0.142642 0.439008i
\(116\) 60298.2 185579.i 0.416063 1.28051i
\(117\) −42728.9 + 58507.9i −0.288574 + 0.395139i
\(118\) 8285.09 11403.5i 0.0547763 0.0753930i
\(119\) 61236.7 19897.0i 0.396410 0.128801i
\(120\) −15657.1 + 21494.4i −0.0992560 + 0.136261i
\(121\) −154718. 44717.4i −0.960679 0.277660i
\(122\) 38321.0i 0.233097i
\(123\) 22196.0 68027.4i 0.132286 0.405435i
\(124\) −11880.1 8631.37i −0.0693848 0.0504110i
\(125\) −61131.2 84139.9i −0.349936 0.481645i
\(126\) 58.9528 23953.1i 0.000330810 0.134411i
\(127\) −194474. 63188.4i −1.06992 0.347639i −0.279464 0.960156i \(-0.590157\pi\)
−0.790457 + 0.612517i \(0.790157\pi\)
\(128\) 136649. 99281.5i 0.737195 0.535603i
\(129\) −210288. + 68040.8i −1.11260 + 0.359994i
\(130\) 2556.17 + 7867.10i 0.0132658 + 0.0408278i
\(131\) 357684. 1.82105 0.910523 0.413459i \(-0.135680\pi\)
0.910523 + 0.413459i \(0.135680\pi\)
\(132\) −128438. + 132395.i −0.641591 + 0.661359i
\(133\) −86904.0 −0.426001
\(134\) −26427.4 81335.2i −0.127143 0.391306i
\(135\) −38760.6 53765.7i −0.183044 0.253905i
\(136\) 81692.5 59353.1i 0.378735 0.275167i
\(137\) −342772. 111373.i −1.56029 0.506967i −0.603401 0.797438i \(-0.706188\pi\)
−0.956884 + 0.290471i \(0.906188\pi\)
\(138\) 54264.9 + 74882.8i 0.242561 + 0.334722i
\(139\) 94716.6 + 130366.i 0.415805 + 0.572306i 0.964622 0.263636i \(-0.0849219\pi\)
−0.548818 + 0.835942i \(0.684922\pi\)
\(140\) 25948.1 + 18852.4i 0.111888 + 0.0812916i
\(141\) −54332.6 17727.7i −0.230151 0.0750938i
\(142\) 15710.1i 0.0653822i
\(143\) 20652.9 + 117854.i 0.0844581 + 0.481951i
\(144\) 58794.7 + 182479.i 0.236283 + 0.733340i
\(145\) 110127. 35782.4i 0.434984 0.141335i
\(146\) −5589.54 + 7693.34i −0.0217017 + 0.0298698i
\(147\) 201751. + 248.271i 0.770055 + 0.000947618i
\(148\) 2475.90 7620.03i 0.00929134 0.0285958i
\(149\) −97292.1 + 299434.i −0.359014 + 1.10493i 0.594631 + 0.803999i \(0.297298\pi\)
−0.953645 + 0.300934i \(0.902702\pi\)
\(150\) 69674.4 + 85.7403i 0.252840 + 0.000311141i
\(151\) 97304.5 133928.i 0.347289 0.478002i −0.599264 0.800552i \(-0.704540\pi\)
0.946552 + 0.322550i \(0.104540\pi\)
\(152\) −129618. + 42115.4i −0.455047 + 0.147854i
\(153\) 77185.2 + 239556.i 0.266566 + 0.827330i
\(154\) −28427.0 27509.5i −0.0965895 0.0934720i
\(155\) 8714.17i 0.0291338i
\(156\) 130280. + 42507.8i 0.428614 + 0.139848i
\(157\) 337940. + 245528.i 1.09419 + 0.794972i 0.980101 0.198499i \(-0.0636066\pi\)
0.114084 + 0.993471i \(0.463607\pi\)
\(158\) 92090.4 + 126752.i 0.293475 + 0.403934i
\(159\) −120721. 166589.i −0.378695 0.522581i
\(160\) 72735.0 + 23633.0i 0.224617 + 0.0729826i
\(161\) 188168. 136712.i 0.572113 0.415665i
\(162\) 93628.5 + 460.875i 0.280298 + 0.00137973i
\(163\) −113929. 350638.i −0.335866 1.03369i −0.966294 0.257441i \(-0.917121\pi\)
0.630429 0.776247i \(-0.282879\pi\)
\(164\) −135351. −0.392963
\(165\) −108361. 15481.6i −0.309860 0.0442695i
\(166\) −183297. −0.516280
\(167\) 115290. + 354827.i 0.319891 + 0.984523i 0.973694 + 0.227858i \(0.0731724\pi\)
−0.653803 + 0.756664i \(0.726828\pi\)
\(168\) −89890.8 + 29085.0i −0.245721 + 0.0795053i
\(169\) −228468. + 165992.i −0.615330 + 0.447064i
\(170\) 27329.6 + 8879.94i 0.0725290 + 0.0235661i
\(171\) 836.046 339694.i 0.00218645 0.888379i
\(172\) 245733. + 338223.i 0.633348 + 0.871729i
\(173\) −434553. 315721.i −1.10389 0.802026i −0.122203 0.992505i \(-0.538996\pi\)
−0.981691 + 0.190479i \(0.938996\pi\)
\(174\) −50738.4 + 155505.i −0.127047 + 0.389379i
\(175\) 175237.i 0.432545i
\(176\) 284428. + 139095.i 0.692134 + 0.338478i
\(177\) 81589.5 112008.i 0.195750 0.268730i
\(178\) −171402. + 55692.0i −0.405477 + 0.131748i
\(179\) −38232.3 + 52622.3i −0.0891863 + 0.122754i −0.851279 0.524714i \(-0.824172\pi\)
0.762092 + 0.647468i \(0.224172\pi\)
\(180\) −73940.6 + 101246.i −0.170099 + 0.232913i
\(181\) −122804. + 377951.i −0.278622 + 0.857509i 0.709617 + 0.704588i \(0.248868\pi\)
−0.988238 + 0.152921i \(0.951132\pi\)
\(182\) −9081.74 + 27950.7i −0.0203231 + 0.0625482i
\(183\) 463.607 376737.i 0.00102335 0.831593i
\(184\) 214401. 295098.i 0.466855 0.642571i
\(185\) 4521.91 1469.26i 0.00971388 0.00315623i
\(186\) 9949.96 + 7247.79i 0.0210882 + 0.0153611i
\(187\) 373394. + 182603.i 0.780843 + 0.381860i
\(188\) 108103.i 0.223071i
\(189\) 869.356 235485.i 0.00177028 0.479522i
\(190\) −31377.6 22797.2i −0.0630574 0.0458139i
\(191\) −183963. 253204.i −0.364878 0.502212i 0.586621 0.809861i \(-0.300458\pi\)
−0.951500 + 0.307649i \(0.900458\pi\)
\(192\) 231198. 167541.i 0.452617 0.327995i
\(193\) −429280. 139482.i −0.829559 0.269540i −0.136699 0.990613i \(-0.543649\pi\)
−0.692860 + 0.721072i \(0.743649\pi\)
\(194\) −21654.7 + 15733.1i −0.0413093 + 0.0300130i
\(195\) 25034.8 + 77373.1i 0.0471474 + 0.145715i
\(196\) −117925. 362937.i −0.219264 0.674825i
\(197\) −404242. −0.742123 −0.371062 0.928608i \(-0.621006\pi\)
−0.371062 + 0.928608i \(0.621006\pi\)
\(198\) 107804. 110852.i 0.195421 0.200947i
\(199\) −293738. −0.525808 −0.262904 0.964822i \(-0.584680\pi\)
−0.262904 + 0.964822i \(0.584680\pi\)
\(200\) −84923.5 261368.i −0.150125 0.462037i
\(201\) −258826. 799934.i −0.451875 1.39657i
\(202\) 56396.0 40974.1i 0.0972455 0.0706530i
\(203\) 391266. + 127130.i 0.666395 + 0.216525i
\(204\) 385487. 279349.i 0.648537 0.469971i
\(205\) −47211.2 64980.7i −0.0784622 0.107994i
\(206\) 176462. + 128207.i 0.289722 + 0.210496i
\(207\) 532577. + 736836.i 0.863886 + 1.19521i
\(208\) 235225.i 0.376985i
\(209\) −403141. 390130.i −0.638398 0.617794i
\(210\) −21732.4 15830.4i −0.0340063 0.0247710i
\(211\) −298266. + 96912.5i −0.461209 + 0.149856i −0.530400 0.847748i \(-0.677958\pi\)
0.0691910 + 0.997603i \(0.477958\pi\)
\(212\) −228733. + 314824.i −0.349534 + 0.481092i
\(213\) −190.061 + 154448.i −0.000287041 + 0.233256i
\(214\) −51786.1 + 159381.i −0.0772998 + 0.237904i
\(215\) −76664.1 + 235948.i −0.113109 + 0.348113i
\(216\) −112824. 351649.i −0.164538 0.512832i
\(217\) 18198.0 25047.4i 0.0262346 0.0361088i
\(218\) −307181. + 99809.1i −0.437777 + 0.142242i
\(219\) −55044.4 + 75566.4i −0.0775537 + 0.106468i
\(220\) 35739.0 + 203941.i 0.0497836 + 0.284084i
\(221\) 308801.i 0.425302i
\(222\) −2083.37 + 6385.19i −0.00283716 + 0.00869544i
\(223\) 577181. + 419346.i 0.777230 + 0.564691i 0.904146 0.427223i \(-0.140508\pi\)
−0.126916 + 0.991913i \(0.540508\pi\)
\(224\) 159711. + 219823.i 0.212674 + 0.292721i
\(225\) 684975. + 1685.84i 0.902024 + 0.00222004i
\(226\) 113366. + 36834.8i 0.147643 + 0.0479720i
\(227\) −914088. + 664124.i −1.17740 + 0.855430i −0.991876 0.127210i \(-0.959398\pi\)
−0.185523 + 0.982640i \(0.559398\pi\)
\(228\) −611334. + 197803.i −0.778828 + 0.251997i
\(229\) 17777.3 + 54713.0i 0.0224015 + 0.0689448i 0.961632 0.274342i \(-0.0884599\pi\)
−0.939231 + 0.343286i \(0.888460\pi\)
\(230\) 103803. 0.129387
\(231\) −279136. 270793.i −0.344180 0.333893i
\(232\) 645186. 0.786982
\(233\) 111987. + 344662.i 0.135139 + 0.415914i 0.995612 0.0935822i \(-0.0298318\pi\)
−0.860473 + 0.509496i \(0.829832\pi\)
\(234\) −109168. 35768.0i −0.130333 0.0427027i
\(235\) −51899.2 + 37707.0i −0.0613043 + 0.0445402i
\(236\) −249285. 80997.7i −0.291351 0.0946657i
\(237\) 903816. + 1.24722e6i 1.04522 + 1.44236i
\(238\) 60010.2 + 82597.0i 0.0686725 + 0.0945195i
\(239\) 1.05823e6 + 768852.i 1.19836 + 0.870658i 0.994122 0.108263i \(-0.0345290\pi\)
0.204236 + 0.978922i \(0.434529\pi\)
\(240\) 204582. + 66751.0i 0.229265 + 0.0748049i
\(241\) 1.51255e6i 1.67751i −0.544507 0.838756i \(-0.683283\pi\)
0.544507 0.838756i \(-0.316717\pi\)
\(242\) −8375.06 255229.i −0.00919283 0.280151i
\(243\) 920465. + 5663.62i 0.999981 + 0.00615288i
\(244\) −677727. + 220207.i −0.728753 + 0.236786i
\(245\) 133109. 183209.i 0.141675 0.194999i
\(246\) 113463. + 139.625i 0.119540 + 0.000147105i
\(247\) −128794. + 396387.i −0.134324 + 0.413406i
\(248\) 15004.0 46177.5i 0.0154909 0.0476762i
\(249\) −1.80201e6 2217.53i −1.84187 0.00226658i
\(250\) 96931.3 133415.i 0.0980876 0.135006i
\(251\) 1.72856e6 561644.i 1.73181 0.562700i 0.738103 0.674688i \(-0.235722\pi\)
0.993710 + 0.111988i \(0.0357219\pi\)
\(252\) −423963. + 136601.i −0.420559 + 0.135504i
\(253\) 1.48663e6 + 210528.i 1.46016 + 0.206780i
\(254\) 324232.i 0.315335i
\(255\) 268573. + 87630.1i 0.258649 + 0.0843923i
\(256\) −257505. 187088.i −0.245576 0.178421i
\(257\) 905.081 + 1245.74i 0.000854781 + 0.00117650i 0.809444 0.587197i \(-0.199769\pi\)
−0.808589 + 0.588373i \(0.799769\pi\)
\(258\) −205645. 283780.i −0.192340 0.265419i
\(259\) 16065.7 + 5220.07i 0.0148817 + 0.00483534i
\(260\) 124445. 90414.6i 0.114168 0.0829479i
\(261\) −500695. + 1.52817e6i −0.454959 + 1.38858i
\(262\) 175260. + 539394.i 0.157735 + 0.485460i
\(263\) −1.49553e6 −1.33324 −0.666618 0.745399i \(-0.732259\pi\)
−0.666618 + 0.745399i \(0.732259\pi\)
\(264\) −547565. 268614.i −0.483533 0.237203i
\(265\) −230927. −0.202004
\(266\) −42581.7 131053.i −0.0368994 0.113565i
\(267\) −1.68575e6 + 545439.i −1.44715 + 0.468240i
\(268\) −1.28659e6 + 934766.i −1.09422 + 0.794997i
\(269\) 1.14371e6 + 371613.i 0.963683 + 0.313119i 0.748263 0.663402i \(-0.230888\pi\)
0.215420 + 0.976522i \(0.430888\pi\)
\(270\) 62087.6 84796.2i 0.0518317 0.0707892i
\(271\) −485938. 668837.i −0.401937 0.553219i 0.559292 0.828971i \(-0.311073\pi\)
−0.961229 + 0.275752i \(0.911073\pi\)
\(272\) −661089. 480309.i −0.541798 0.393639i
\(273\) −89621.6 + 274676.i −0.0727790 + 0.223056i
\(274\) 571479.i 0.459858i
\(275\) 786675. 812912.i 0.627283 0.648204i
\(276\) 1.01252e6 1.39001e6i 0.800072 1.09836i
\(277\) −469980. + 152706.i −0.368027 + 0.119579i −0.487191 0.873295i \(-0.661979\pi\)
0.119164 + 0.992875i \(0.461979\pi\)
\(278\) −150185. + 206712.i −0.116551 + 0.160418i
\(279\) 97731.3 + 71374.1i 0.0751663 + 0.0548947i
\(280\) −32771.2 + 100859.i −0.0249803 + 0.0768814i
\(281\) 643997. 1.98202e6i 0.486539 1.49741i −0.343200 0.939262i \(-0.611511\pi\)
0.829739 0.558151i \(-0.188489\pi\)
\(282\) 111.517 90621.0i 8.35059e−5 0.0678588i
\(283\) 563716. 775888.i 0.418402 0.575881i −0.546840 0.837237i \(-0.684170\pi\)
0.965243 + 0.261356i \(0.0841695\pi\)
\(284\) 277842. 90276.4i 0.204410 0.0664169i
\(285\) −308200. 224501.i −0.224761 0.163721i
\(286\) −167606. + 88891.6i −0.121164 + 0.0642607i
\(287\) 285368.i 0.204503i
\(288\) −860791. + 622170.i −0.611528 + 0.442006i
\(289\) 280817. + 204026.i 0.197779 + 0.143695i
\(290\) 107921. + 148541.i 0.0753549 + 0.103717i
\(291\) −213080. + 154411.i −0.147506 + 0.106892i
\(292\) 168180. + 54645.1i 0.115430 + 0.0375055i
\(293\) 810050. 588536.i 0.551243 0.400501i −0.277001 0.960870i \(-0.589340\pi\)
0.828243 + 0.560368i \(0.189340\pi\)
\(294\) 98480.5 + 304366.i 0.0664480 + 0.205366i
\(295\) −48066.0 147932.i −0.0321575 0.0989707i
\(296\) 26491.9 0.0175745
\(297\) 1.06117e6 1.08849e6i 0.698063 0.716036i
\(298\) −499225. −0.325653
\(299\) −344702. 1.06088e6i −0.222980 0.686262i
\(300\) −398859. 1.23272e6i −0.255868 0.790791i
\(301\) −713093. + 518093.i −0.453660 + 0.329603i
\(302\) 249644. + 81114.3i 0.157509 + 0.0511776i
\(303\) 554930. 402138.i 0.347241 0.251633i
\(304\) 648269. + 892266.i 0.402320 + 0.553746i
\(305\) −342114. 248561.i −0.210582 0.152997i
\(306\) −323436. + 233776.i −0.197463 + 0.142724i
\(307\) 1.39135e6i 0.842541i −0.906935 0.421271i \(-0.861584\pi\)
0.906935 0.421271i \(-0.138416\pi\)
\(308\) −323168. + 660827.i −0.194112 + 0.396928i
\(309\) 1.73326e6 + 1.26255e6i 1.03268 + 0.752232i
\(310\) 13141.2 4269.82i 0.00776657 0.00252351i
\(311\) −64585.2 + 88893.9i −0.0378645 + 0.0521160i −0.827529 0.561422i \(-0.810254\pi\)
0.789665 + 0.613538i \(0.210254\pi\)
\(312\) −557.595 + 453114.i −0.000324289 + 0.263525i
\(313\) −639008. + 1.96666e6i −0.368676 + 1.13467i 0.578970 + 0.815349i \(0.303455\pi\)
−0.947647 + 0.319321i \(0.896545\pi\)
\(314\) −204675. + 629926.i −0.117150 + 0.360550i
\(315\) −213462. 155893.i −0.121211 0.0885218i
\(316\) 1.71248e6 2.35703e6i 0.964736 1.32785i
\(317\) −1.77800e6 + 577708.i −0.993767 + 0.322894i −0.760372 0.649488i \(-0.774983\pi\)
−0.233395 + 0.972382i \(0.574983\pi\)
\(318\) 192068. 263676.i 0.106509 0.146219i
\(319\) 1.24434e6 + 2.34622e6i 0.684641 + 1.29090i
\(320\) 320489.i 0.174960i
\(321\) −511042. + 1.56626e6i −0.276818 + 0.848404i
\(322\) 298365. + 216775.i 0.160364 + 0.116512i
\(323\) 851042. + 1.17136e6i 0.453884 + 0.624717i
\(324\) −529874. 1.65852e6i −0.280421 0.877724i
\(325\) −799292. 259706.i −0.419756 0.136387i
\(326\) 472945. 343615.i 0.246471 0.179072i
\(327\) −3.02113e6 + 977517.i −1.56243 + 0.505539i
\(328\) −138295. 425628.i −0.0709777 0.218447i
\(329\) −227920. −0.116089
\(330\) −29749.1 170997.i −0.0150379 0.0864378i
\(331\) −2.00575e6 −1.00625 −0.503127 0.864213i \(-0.667817\pi\)
−0.503127 + 0.864213i \(0.667817\pi\)
\(332\) 1.05329e6 + 3.24171e6i 0.524451 + 1.61409i
\(333\) −20559.0 + 62748.2i −0.0101600 + 0.0310092i
\(334\) −478596. + 347721.i −0.234749 + 0.170555i
\(335\) −897543. 291630.i −0.436962 0.141977i
\(336\) 448637. + 619097.i 0.216794 + 0.299165i
\(337\) 193113. + 265798.i 0.0926270 + 0.127490i 0.852815 0.522213i \(-0.174893\pi\)
−0.760188 + 0.649703i \(0.774893\pi\)
\(338\) −362265. 263201.i −0.172478 0.125313i
\(339\) 1.11407e6 + 363498.i 0.526516 + 0.171792i
\(340\) 534367.i 0.250693i
\(341\) 196862. 34498.5i 0.0916803 0.0160663i
\(342\) 512676. 165185.i 0.237016 0.0763667i
\(343\) 1.75890e6 571500.i 0.807244 0.262289i
\(344\) −812506. + 1.11832e6i −0.370195 + 0.509530i
\(345\) 1.02050e6 + 1255.81i 0.461600 + 0.000568037i
\(346\) 263189. 810014.i 0.118189 0.363749i
\(347\) 93590.8 288043.i 0.0417263 0.128420i −0.928023 0.372522i \(-0.878493\pi\)
0.969750 + 0.244102i \(0.0784931\pi\)
\(348\) 3.04176e6 + 3743.14i 1.34641 + 0.00165687i
\(349\) 2.12328e6 2.92244e6i 0.933133 1.28435i −0.0254926 0.999675i \(-0.508115\pi\)
0.958625 0.284672i \(-0.0918846\pi\)
\(350\) 264261. 85863.7i 0.115309 0.0374662i
\(351\) −1.07281e6 352959.i −0.464786 0.152917i
\(352\) −245944. + 1.73672e6i −0.105798 + 0.747090i
\(353\) 3303.03i 0.00141083i −1.00000 0.000705417i \(-0.999775\pi\)
1.00000 0.000705417i \(-0.000224541\pi\)
\(354\) 208888. + 68156.2i 0.0885943 + 0.0289066i
\(355\) 140254. + 101900.i 0.0590669 + 0.0429146i
\(356\) 1.96988e6 + 2.71131e6i 0.823789 + 1.13385i
\(357\) 588967. + 812744.i 0.244580 + 0.337508i
\(358\) −98088.8 31871.0i −0.0404494 0.0131428i
\(359\) −1.82317e6 + 1.32461e6i −0.746606 + 0.542441i −0.894773 0.446521i \(-0.852663\pi\)
0.148167 + 0.988962i \(0.452663\pi\)
\(360\) −393928. 129068.i −0.160199 0.0524882i
\(361\) 161279. + 496365.i 0.0651342 + 0.200463i
\(362\) −630130. −0.252731
\(363\) −79248.2 2.50929e6i −0.0315662 0.999502i
\(364\) 546511. 0.216195
\(365\) 32427.7 + 99802.3i 0.0127404 + 0.0392111i
\(366\) 568355. 183897.i 0.221777 0.0717582i
\(367\) −766396. + 556820.i −0.297022 + 0.215799i −0.726308 0.687370i \(-0.758765\pi\)
0.429286 + 0.903169i \(0.358765\pi\)
\(368\) −2.80732e6 912154.i −1.08062 0.351114i
\(369\) 1.11546e6 + 2745.34i 0.426469 + 0.00104961i
\(370\) 4431.34 + 6099.22i 0.00168279 + 0.00231617i
\(371\) −663761. 482251.i −0.250367 0.181902i
\(372\) 71004.8 217619.i 0.0266030 0.0815341i
\(373\) 572267.i 0.212974i −0.994314 0.106487i \(-0.966040\pi\)
0.994314 0.106487i \(-0.0339603\pi\)
\(374\) −92411.5 + 652559.i −0.0341623 + 0.241235i
\(375\) 954555. 1.31044e6i 0.350528 0.481214i
\(376\) −339944. + 110454.i −0.124004 + 0.0402915i
\(377\) 1.15973e6 1.59623e6i 0.420246 0.578419i
\(378\) 355542. 114073.i 0.127986 0.0410633i
\(379\) −634322. + 1.95224e6i −0.226836 + 0.698129i 0.771264 + 0.636515i \(0.219625\pi\)
−0.998100 + 0.0616141i \(0.980375\pi\)
\(380\) −222872. + 685931.i −0.0791767 + 0.243681i
\(381\) 3922.56 3.18755e6i 0.00138438 1.12498i
\(382\) 291697. 401487.i 0.102276 0.140771i
\(383\) −2.54320e6 + 826334.i −0.885896 + 0.287845i −0.716403 0.697686i \(-0.754213\pi\)
−0.169493 + 0.985531i \(0.554213\pi\)
\(384\) 2.12824e6 + 1.55026e6i 0.736535 + 0.536510i
\(385\) −429980. + 75350.6i −0.147841 + 0.0259081i
\(386\) 715707.i 0.244493i
\(387\) −2.01828e6 2.79235e6i −0.685022 0.947749i
\(388\) 402683. + 292567.i 0.135795 + 0.0986610i
\(389\) −2.99097e6 4.11672e6i −1.00216 1.37936i −0.923988 0.382421i \(-0.875091\pi\)
−0.0781755 0.996940i \(-0.524909\pi\)
\(390\) −104414. + 75664.7i −0.0347612 + 0.0251902i
\(391\) −3.68543e6 1.19747e6i −1.21912 0.396115i
\(392\) 1.02081e6 741663.i 0.335529 0.243776i
\(393\) 1.71647e6 + 5.30496e6i 0.560602 + 1.73261i
\(394\) −198073. 609605.i −0.0642813 0.197837i
\(395\) 1.72891e6 0.557545
\(396\) −2.57996e6 1.26957e6i −0.826752 0.406836i
\(397\) −3.77811e6 −1.20309 −0.601545 0.798839i \(-0.705448\pi\)
−0.601545 + 0.798839i \(0.705448\pi\)
\(398\) −143927. 442962.i −0.0455444 0.140171i
\(399\) −417040. 1.28891e6i −0.131143 0.405313i
\(400\) −1.79920e6 + 1.30720e6i −0.562251 + 0.408500i
\(401\) 1.99322e6 + 647636.i 0.619005 + 0.201127i 0.601698 0.798723i \(-0.294491\pi\)
0.0173064 + 0.999850i \(0.494491\pi\)
\(402\) 1.07950e6 782272.i 0.333162 0.241431i
\(403\) −87276.3 120126.i −0.0267691 0.0368445i
\(404\) −1.04872e6 761940.i −0.319673 0.232256i
\(405\) 611415. 832888.i 0.185225 0.252319i
\(406\) 652329.i 0.196404i
\(407\) 51093.8 + 96337.9i 0.0152891 + 0.0288278i
\(408\) 1.27232e6 + 926789.i 0.378396 + 0.275633i
\(409\) 3.04382e6 988996.i 0.899726 0.292339i 0.177602 0.984102i \(-0.443166\pi\)
0.722124 + 0.691764i \(0.243166\pi\)
\(410\) 74859.4 103035.i 0.0219931 0.0302709i
\(411\) 6913.74 5.61826e6i 0.00201887 1.64058i
\(412\) 1.25339e6 3.85754e6i 0.363784 1.11961i
\(413\) 170772. 525582.i 0.0492653 0.151623i
\(414\) −850209. + 1.16418e6i −0.243795 + 0.333824i
\(415\) −1.18892e6 + 1.63640e6i −0.338868 + 0.466412i
\(416\) 1.23935e6 402690.i 0.351125 0.114087i
\(417\) −1.47899e6 + 2.03039e6i −0.416508 + 0.571794i
\(418\) 390790. 799104.i 0.109396 0.223698i
\(419\) 4.72687e6i 1.31534i 0.753305 + 0.657671i \(0.228458\pi\)
−0.753305 + 0.657671i \(0.771542\pi\)
\(420\) −155087. + 475316.i −0.0428994 + 0.131480i
\(421\) 2.46491e6 + 1.79086e6i 0.677790 + 0.492444i 0.872624 0.488393i \(-0.162417\pi\)
−0.194833 + 0.980836i \(0.562417\pi\)
\(422\) −292292. 402306.i −0.0798980 0.109970i
\(423\) 2192.66 890902.i 0.000595828 0.242091i
\(424\) −1.22371e6 397608.i −0.330571 0.107409i
\(425\) −2.36198e6 + 1.71608e6i −0.634313 + 0.460856i
\(426\) −233004. + 75390.6i −0.0622070 + 0.0201277i
\(427\) −464275. 1.42889e6i −0.123227 0.379253i
\(428\) 3.11632e6 0.822305
\(429\) −1.64883e6 + 871874.i −0.432545 + 0.228723i
\(430\) −393379. −0.102598
\(431\) −967841. 2.97871e6i −0.250964 0.772387i −0.994598 0.103800i \(-0.966900\pi\)
0.743635 0.668586i \(-0.233100\pi\)
\(432\) −2.42427e6 + 1.74770e6i −0.624987 + 0.450564i
\(433\) 5.73902e6 4.16964e6i 1.47102 1.06876i 0.490699 0.871329i \(-0.336741\pi\)
0.980318 0.197427i \(-0.0632587\pi\)
\(434\) 46688.8 + 15170.1i 0.0118984 + 0.00386602i
\(435\) 1.05919e6 + 1.46162e6i 0.268379 + 0.370350i
\(436\) 3.53036e6 + 4.85912e6i 0.889410 + 1.22417i
\(437\) 4.23130e6 + 3.07422e6i 1.05991 + 0.770071i
\(438\) −140927. 45981.6i −0.0351000 0.0114525i
\(439\) 7.52265e6i 1.86299i 0.363759 + 0.931493i \(0.381493\pi\)
−0.363759 + 0.931493i \(0.618507\pi\)
\(440\) −604801. + 320763.i −0.148930 + 0.0789864i
\(441\) 964489. + 2.99344e6i 0.236157 + 0.732950i
\(442\) 465678. 151308.i 0.113378 0.0368388i
\(443\) 762842. 1.04996e6i 0.184682 0.254194i −0.706630 0.707583i \(-0.749785\pi\)
0.891312 + 0.453390i \(0.149785\pi\)
\(444\) 124897. + 153.697i 0.0300674 + 3.70005e-5i
\(445\) −614567. + 1.89144e6i −0.147119 + 0.452786i
\(446\) −349573. + 1.07587e6i −0.0832147 + 0.256109i
\(447\) −4.90793e6 6039.62i −1.16179 0.00142969i
\(448\) 669284. 921190.i 0.157549 0.216847i
\(449\) 957957. 311259.i 0.224249 0.0728629i −0.194737 0.980855i \(-0.562385\pi\)
0.418986 + 0.907993i \(0.362385\pi\)
\(450\) 333086. + 1.03378e6i 0.0775398 + 0.240657i
\(451\) 1.28107e6 1.32380e6i 0.296574 0.306465i
\(452\) 2.21660e6i 0.510320i
\(453\) 2.45329e6 + 800463.i 0.561700 + 0.183272i
\(454\) −1.44940e6 1.05305e6i −0.330027 0.239779i
\(455\) 190626. + 262374.i 0.0431672 + 0.0594146i
\(456\) −1.24665e6 1.72031e6i −0.280758 0.387432i
\(457\) −420939. 136771.i −0.0942820 0.0306341i 0.261496 0.965205i \(-0.415784\pi\)
−0.355778 + 0.934570i \(0.615784\pi\)
\(458\) −73797.6 + 53617.1i −0.0164391 + 0.0119437i
\(459\) −3.18256e6 + 2.29436e6i −0.705090 + 0.508311i
\(460\) −596493. 1.83582e6i −0.131435 0.404515i
\(461\) 4.94525e6 1.08377 0.541884 0.840454i \(-0.317711\pi\)
0.541884 + 0.840454i \(0.317711\pi\)
\(462\) 271588. 553628.i 0.0591979 0.120674i
\(463\) −3.37307e6 −0.731263 −0.365631 0.930760i \(-0.619147\pi\)
−0.365631 + 0.930760i \(0.619147\pi\)
\(464\) −1.61341e6 4.96556e6i −0.347896 1.07071i
\(465\) 129244. 41818.0i 0.0277189 0.00896873i
\(466\) −464885. + 337759.i −0.0991701 + 0.0720513i
\(467\) 4.17712e6 + 1.35723e6i 0.886309 + 0.287979i 0.716574 0.697511i \(-0.245709\pi\)
0.169734 + 0.985490i \(0.445709\pi\)
\(468\) −5257.62 + 2.13623e6i −0.00110962 + 0.450850i
\(469\) −1.97082e6 2.71260e6i −0.413728 0.569447i
\(470\) −82292.7 59789.2i −0.0171837 0.0124847i
\(471\) −2.01980e6 + 6.19039e6i −0.419524 + 1.28578i
\(472\) 866669.i 0.179060i
\(473\) −5.63381e6 797826.i −1.15784 0.163967i
\(474\) −1.43798e6 + 1.97409e6i −0.293972 + 0.403573i
\(475\) 3.74765e6 1.21769e6i 0.762123 0.247629i
\(476\) 1.11593e6 1.53595e6i 0.225746 0.310712i
\(477\) 1.89143e6 2.58990e6i 0.380622 0.521179i
\(478\) −640925. + 1.97256e6i −0.128303 + 0.394877i
\(479\) −1.53073e6 + 4.71110e6i −0.304831 + 0.938175i 0.674909 + 0.737901i \(0.264183\pi\)
−0.979740 + 0.200273i \(0.935817\pi\)
\(480\) −1467.07 + 1.19217e6i −0.000290635 + 0.236177i
\(481\) 47619.6 65542.8i 0.00938476 0.0129170i
\(482\) 2.28095e6 741125.i 0.447196 0.145303i
\(483\) 2.93063e6 + 2.13474e6i 0.571601 + 0.416368i
\(484\) −4.46574e6 + 1.61476e6i −0.866523 + 0.313325i
\(485\) 295373.i 0.0570186i
\(486\) 442474. + 1.39086e6i 0.0849761 + 0.267111i
\(487\) 6.19486e6 + 4.50083e6i 1.18361 + 0.859944i 0.992574 0.121639i \(-0.0388151\pi\)
0.191037 + 0.981583i \(0.438815\pi\)
\(488\) −1.38494e6 1.90620e6i −0.263258 0.362343i
\(489\) 4.65372e6 3.37239e6i 0.880093 0.637772i
\(490\) 341505. + 110962.i 0.0642550 + 0.0208777i
\(491\) −7712.16 + 5603.21i −0.00144368 + 0.00104890i −0.588507 0.808492i \(-0.700284\pi\)
0.587063 + 0.809541i \(0.300284\pi\)
\(492\) −649529. 2.00745e6i −0.120972 0.373879i
\(493\) −2.11807e6 6.51875e6i −0.392485 1.20794i
\(494\) −660866. −0.121842
\(495\) −290397. 1.68145e6i −0.0532696 0.308440i
\(496\) −392918. −0.0717129
\(497\) 190335. + 585790.i 0.0345643 + 0.106378i
\(498\) −879616. 2.71856e6i −0.158935 0.491208i
\(499\) 3.50023e6 2.54306e6i 0.629282 0.457200i −0.226870 0.973925i \(-0.572849\pi\)
0.856151 + 0.516725i \(0.172849\pi\)
\(500\) −2.91651e6 947632.i −0.521721 0.169518i
\(501\) −4.70933e6 + 3.41268e6i −0.838233 + 0.607438i
\(502\) 1.69394e6 + 2.33151e6i 0.300012 + 0.412932i
\(503\) −565221. 410657.i −0.0996090 0.0723702i 0.536866 0.843668i \(-0.319608\pi\)
−0.636475 + 0.771297i \(0.719608\pi\)
\(504\) −862745. 1.19363e6i −0.151289 0.209312i
\(505\) 769250.i 0.134227i
\(506\) 410947. + 2.34502e6i 0.0713525 + 0.407165i
\(507\) −3.55827e6 2.59193e6i −0.614780 0.447821i
\(508\) −5.73421e6 + 1.86316e6i −0.985859 + 0.320325i
\(509\) 2.46827e6 3.39729e6i 0.422278 0.581216i −0.543881 0.839162i \(-0.683046\pi\)
0.966159 + 0.257946i \(0.0830457\pi\)
\(510\) −551.241 + 447951.i −9.38461e−5 + 0.0762614i
\(511\) −115211. + 354584.i −0.0195184 + 0.0600713i
\(512\) 1.82621e6 5.62050e6i 0.307876 0.947545i
\(513\) 5.04216e6 1.61774e6i 0.845908 0.271404i
\(514\) −1435.12 + 1975.27i −0.000239597 + 0.000329776i
\(515\) 2.28916e6 743792.i 0.380327 0.123576i
\(516\) −3.83708e6 + 5.26765e6i −0.634420 + 0.870949i
\(517\) −1.05730e6 1.02318e6i −0.173969 0.168354i
\(518\) 26785.2i 0.00438602i
\(519\) 2.59724e6 7.96014e6i 0.423247 1.29719i
\(520\) 411472. + 298952.i 0.0667317 + 0.0484834i
\(521\) −1.59561e6 2.19617e6i −0.257533 0.354463i 0.660599 0.750739i \(-0.270302\pi\)
−0.918132 + 0.396276i \(0.870302\pi\)
\(522\) −2.54985e6 6275.62i −0.409580 0.00100805i
\(523\) −6.29391e6 2.04502e6i −1.00616 0.326921i −0.240835 0.970566i \(-0.577421\pi\)
−0.765324 + 0.643645i \(0.777421\pi\)
\(524\) 8.53236e6 6.19913e6i 1.35750 0.986285i
\(525\) 2.59902e6 840937.i 0.411539 0.133157i
\(526\) −732791. 2.25530e6i −0.115482 0.355418i
\(527\) −515819. −0.0809041
\(528\) −698056. + 4.88597e6i −0.108970 + 0.762721i
\(529\) −7.56163e6 −1.17483
\(530\) −113151. 348243.i −0.0174972 0.0538509i
\(531\) 2.05278e6 + 672577.i 0.315940 + 0.103516i
\(532\) −2.07305e6 + 1.50616e6i −0.317564 + 0.230724i
\(533\) −1.30162e6 422922.i −0.198457 0.0644826i
\(534\) −1.64853e6 2.27488e6i −0.250174 0.345228i
\(535\) 1.08699e6 + 1.49612e6i 0.164188 + 0.225986i
\(536\) −4.25407e6 3.09076e6i −0.639577 0.464680i
\(537\) −963934. 314513.i −0.144249 0.0470655i
\(538\) 1.90682e6i 0.284023i
\(539\) 4.66585e6 + 2.28177e6i 0.691766 + 0.338298i
\(540\) −1.85644e6 610782.i −0.273967 0.0901367i
\(541\) −822172. + 267140.i −0.120773 + 0.0392415i −0.368780 0.929517i \(-0.620224\pi\)
0.248007 + 0.968758i \(0.420224\pi\)
\(542\) 770517. 1.06053e6i 0.112664 0.155068i
\(543\) −6.19487e6 7623.30i −0.901638 0.00110954i
\(544\) 1.39891e6 4.30541e6i 0.202672 0.623759i
\(545\) −1.10141e6 + 3.38978e6i −0.158839 + 0.488855i
\(546\) −458131. 563.769i −0.0657670 8.09319e-5i
\(547\) 3.46047e6 4.76292e6i 0.494500 0.680621i −0.486710 0.873564i \(-0.661803\pi\)
0.981210 + 0.192943i \(0.0618031\pi\)
\(548\) −1.01069e7 + 3.28393e6i −1.43769 + 0.467135i
\(549\) 5.58978e6 1.80103e6i 0.791523 0.255029i
\(550\) 1.61135e6 + 788007.i 0.227134 + 0.111077i
\(551\) 9.25108e6i 1.29812i
\(552\) 5.40560e6 + 1.76374e6i 0.755085 + 0.246370i
\(553\) 4.96946e6 + 3.61052e6i 0.691029 + 0.502062i
\(554\) −460567. 633916.i −0.0637556 0.0877520i
\(555\) 43491.1 + 60015.6i 0.00599333 + 0.00827050i
\(556\) 4.51884e6 + 1.46826e6i 0.619926 + 0.201426i
\(557\) −80189.3 + 58261.0i −0.0109516 + 0.00795682i −0.593248 0.805020i \(-0.702154\pi\)
0.582296 + 0.812977i \(0.302154\pi\)
\(558\) −59746.7 + 182353.i −0.00812322 + 0.0247929i
\(559\) 1.30630e6 + 4.02039e6i 0.176813 + 0.544175i
\(560\) 858198. 0.115643
\(561\) −916401. + 6.41425e6i −0.122936 + 0.860476i
\(562\) 3.30447e6 0.441328
\(563\) 23889.8 + 73525.2i 0.00317644 + 0.00977608i 0.952632 0.304125i \(-0.0983640\pi\)
−0.949456 + 0.313901i \(0.898364\pi\)
\(564\) −1.60332e6 + 518770.i −0.212238 + 0.0686716i
\(565\) 1.06417e6 773165.i 0.140246 0.101895i
\(566\) 1.44627e6 + 469921.i 0.189761 + 0.0616572i
\(567\) 3.49675e6 1.11716e6i 0.456780 0.145935i
\(568\) 567772. + 781471.i 0.0738419 + 0.101635i
\(569\) 602539. + 437770.i 0.0780197 + 0.0566846i 0.626111 0.779734i \(-0.284646\pi\)
−0.548092 + 0.836418i \(0.684646\pi\)
\(570\) 187538. 574775.i 0.0241770 0.0740987i
\(571\) 1.67260e6i 0.214685i 0.994222 + 0.107343i \(0.0342342\pi\)
−0.994222 + 0.107343i \(0.965766\pi\)
\(572\) 2.53522e6 + 2.45340e6i 0.323986 + 0.313529i
\(573\) 2.87256e6 3.94353e6i 0.365496 0.501763i
\(574\) 430341. 139826.i 0.0545171 0.0177137i
\(575\) −6.19899e6 + 8.53218e6i −0.781900 + 1.07619i
\(576\) 3.59435e6 + 2.62499e6i 0.451403 + 0.329664i
\(577\) −794712. + 2.44587e6i −0.0993734 + 0.305840i −0.988369 0.152076i \(-0.951404\pi\)
0.888995 + 0.457916i \(0.151404\pi\)
\(578\) −170079. + 523448.i −0.0211753 + 0.0651709i
\(579\) 8658.62 7.03618e6i 0.00107338 0.872249i
\(580\) 2.00687e6 2.76221e6i 0.247713 0.340947i
\(581\) −6.83467e6 + 2.22072e6i −0.839996 + 0.272931i
\(582\) −337261. 245669.i −0.0412723 0.0300638i
\(583\) −914218. 5.21688e6i −0.111398 0.635682i
\(584\) 584699.i 0.0709415i
\(585\) −1.02741e6 + 742604.i −0.124124 + 0.0897155i
\(586\) 1.28444e6 + 933198.i 0.154514 + 0.112261i
\(587\) 8.53641e6 + 1.17494e7i 1.02254 + 1.40741i 0.910408 + 0.413712i \(0.135768\pi\)
0.112132 + 0.993693i \(0.464232\pi\)
\(588\) 4.81697e6 3.49068e6i 0.574553 0.416358i
\(589\) 662122. + 215137.i 0.0786411 + 0.0255521i
\(590\) 199533. 144969.i 0.0235985 0.0171453i
\(591\) −1.93990e6 5.99548e6i −0.228460 0.706083i
\(592\) −66248.1 203891.i −0.00776907 0.0239107i
\(593\) −8.65439e6 −1.01065 −0.505324 0.862930i \(-0.668627\pi\)
−0.505324 + 0.862930i \(0.668627\pi\)
\(594\) 2.16143e6 + 1.06692e6i 0.251348 + 0.124070i
\(595\) 1.12663e6 0.130464
\(596\) 2.86873e6 + 8.82906e6i 0.330807 + 1.01812i
\(597\) −1.40960e6 4.35655e6i −0.161868 0.500272i
\(598\) 1.43094e6 1.03964e6i 0.163632 0.118885i
\(599\) −1.21264e7 3.94010e6i −1.38091 0.448684i −0.477939 0.878393i \(-0.658616\pi\)
−0.902967 + 0.429710i \(0.858616\pi\)
\(600\) 3.46892e6 2.51380e6i 0.393383 0.285071i
\(601\) 5.08517e6 + 6.99913e6i 0.574274 + 0.790420i 0.993053 0.117668i \(-0.0375418\pi\)
−0.418779 + 0.908088i \(0.637542\pi\)
\(602\) −1.13070e6 821502.i −0.127162 0.0923883i
\(603\) 1.06221e7 7.67753e6i 1.18964 0.859860i
\(604\) 4.88120e6i 0.544421i
\(605\) −2.33291e6 1.58072e6i −0.259125 0.175577i
\(606\) 878340. + 639804.i 0.0971585 + 0.0707726i
\(607\) −7.34627e6 + 2.38695e6i −0.809273 + 0.262949i −0.684290 0.729210i \(-0.739888\pi\)
−0.124983 + 0.992159i \(0.539888\pi\)
\(608\) −3.59138e6 + 4.94311e6i −0.394006 + 0.542302i
\(609\) −7891.87 + 6.41310e6i −0.000862257 + 0.700689i
\(610\) 207204. 637707.i 0.0225462 0.0693899i
\(611\) −337782. + 1.03959e6i −0.0366044 + 0.112657i
\(612\) 5.99304e6 + 4.37677e6i 0.646797 + 0.472362i
\(613\) −1.00394e7 + 1.38180e7i −1.07908 + 1.48523i −0.218555 + 0.975825i \(0.570134\pi\)
−0.860527 + 0.509405i \(0.829866\pi\)
\(614\) 2.09819e6 681743.i 0.224607 0.0729793i
\(615\) 737196. 1.01204e6i 0.0785950 0.107897i
\(616\) −2.40825e6 341043.i −0.255712 0.0362124i
\(617\) 1.37931e7i 1.45864i −0.684171 0.729322i \(-0.739836\pi\)
0.684171 0.729322i \(-0.260164\pi\)
\(618\) −1.05468e6 + 3.23242e6i −0.111083 + 0.340453i
\(619\) −9.55588e6 6.94275e6i −1.00241 0.728291i −0.0398039 0.999208i \(-0.512673\pi\)
−0.962603 + 0.270916i \(0.912673\pi\)
\(620\) −151028. 207872.i −0.0157790 0.0217179i
\(621\) −8.37257e6 + 1.14348e7i −0.871224 + 1.18987i
\(622\) −165700. 53839.1i −0.0171730 0.00557984i
\(623\) −5.71641e6 + 4.15322e6i −0.590070 + 0.428711i
\(624\) 3.48871e6 1.12881e6i 0.358677 0.116054i
\(625\) 2.15974e6 + 6.64700e6i 0.221157 + 0.680652i
\(626\) −3.27888e6 −0.334418
\(627\) 3.85156e6 7.85133e6i 0.391262 0.797581i
\(628\) 1.23167e7 1.24622
\(629\) −86969.9 267666.i −0.00876481 0.0269753i
\(630\) 130497. 398290.i 0.0130993 0.0399805i
\(631\) 3.82843e6 2.78152e6i 0.382779 0.278105i −0.379711 0.925105i \(-0.623977\pi\)
0.762490 + 0.647000i \(0.223977\pi\)
\(632\) 9.16172e6 + 2.97682e6i 0.912398 + 0.296456i
\(633\) −2.86868e6 3.95864e6i −0.284560 0.392678i
\(634\) −1.74239e6 2.39820e6i −0.172156 0.236953i
\(635\) −2.89461e6 2.10306e6i −0.284876 0.206975i
\(636\) −5.76694e6 1.88164e6i −0.565331 0.184457i
\(637\) 3.85870e6i 0.376784i
\(638\) −2.92844e6 + 3.02610e6i −0.284829 + 0.294328i
\(639\) −2.29159e6 + 738354.i −0.222017 + 0.0715340i
\(640\) 2.81082e6 913292.i 0.271259 0.0881373i
\(641\) 1.80711e6 2.48727e6i 0.173716 0.239099i −0.713277 0.700882i \(-0.752790\pi\)
0.886993 + 0.461783i \(0.152790\pi\)
\(642\) −2.61236e6 3214.73i −0.250147 0.000307827i
\(643\) 1.32318e6 4.07232e6i 0.126209 0.388432i −0.867910 0.496721i \(-0.834537\pi\)
0.994119 + 0.108289i \(0.0345372\pi\)
\(644\) 2.11926e6 6.52241e6i 0.201358 0.619717i
\(645\) −3.86734e6 4759.09i −0.366027 0.000450427i
\(646\) −1.34943e6 + 1.85734e6i −0.127224 + 0.175109i
\(647\) 1.52999e7 4.97125e6i 1.43691 0.466880i 0.515977 0.856603i \(-0.327429\pi\)
0.920932 + 0.389723i \(0.127429\pi\)
\(648\) 4.67403e6 3.36085e6i 0.437274 0.314421i
\(649\) 3.15164e6 1.67151e6i 0.293714 0.155775i
\(650\) 1.33260e6i 0.123713i
\(651\) 458818. + 149703.i 0.0424315 + 0.0138446i
\(652\) −8.79473e6 6.38974e6i −0.810221 0.588660i
\(653\) −1.03811e7 1.42884e7i −0.952713 1.31130i −0.950312 0.311300i \(-0.899236\pi\)
−0.00240120 0.999997i \(-0.500764\pi\)
\(654\) −2.95443e6 4.07696e6i −0.270103 0.372728i
\(655\) 5.95228e6 + 1.93401e6i 0.542101 + 0.176139i
\(656\) −2.92995e6 + 2.12873e6i −0.265827 + 0.193135i
\(657\) −1.38491e6 453755.i −0.125172 0.0410117i
\(658\) −111677. 343707.i −0.0100554 0.0309474i
\(659\) 1.88022e7 1.68654 0.843268 0.537493i \(-0.180629\pi\)
0.843268 + 0.537493i \(0.180629\pi\)
\(660\) −2.85323e6 + 1.50874e6i −0.254962 + 0.134820i
\(661\) 8.78537e6 0.782089 0.391045 0.920372i \(-0.372114\pi\)
0.391045 + 0.920372i \(0.372114\pi\)
\(662\) −982790. 3.02472e6i −0.0871597 0.268250i
\(663\) 4.57995e6 1.48189e6i 0.404648 0.130928i
\(664\) −9.11776e6 + 6.62444e6i −0.802542 + 0.583081i
\(665\) −1.44619e6 469894.i −0.126815 0.0412046i
\(666\) −104699. 257.683i −0.00914657 2.25113e-5i
\(667\) −1.45533e7 2.00308e7i −1.26662 1.74335i
\(668\) 8.89982e6 + 6.46610e6i 0.771685 + 0.560662i
\(669\) −3.44970e6 + 1.05728e7i −0.298000 + 0.913323i
\(670\) 1.49641e6i 0.128784i
\(671\) 4.26084e6 8.71274e6i 0.365333 0.747048i
\(672\) −2.49386e6 + 3.42364e6i −0.213034 + 0.292459i
\(673\) −6.40754e6 + 2.08194e6i −0.545323 + 0.177186i −0.568707 0.822540i \(-0.692556\pi\)
0.0233837 + 0.999727i \(0.492556\pi\)
\(674\) −306206. + 421456.i −0.0259635 + 0.0357357i
\(675\) 3.26209e6 + 1.01672e7i 0.275573 + 0.858902i
\(676\) −2.57314e6 + 7.91930e6i −0.216569 + 0.666530i
\(677\) 1.84335e6 5.67324e6i 0.154574 0.475729i −0.843544 0.537061i \(-0.819535\pi\)
0.998117 + 0.0613314i \(0.0195347\pi\)
\(678\) −2286.60 + 1.85814e6i −0.000191037 + 0.155241i
\(679\) −616835. + 849000.i −0.0513445 + 0.0706697i
\(680\) 1.68038e6 545990.i 0.139359 0.0452806i
\(681\) −1.42365e7 1.03702e7i −1.17634 0.856878i
\(682\) 148484. + 279968.i 0.0122242 + 0.0230488i
\(683\) 5.36224e6i 0.439839i −0.975518 0.219920i \(-0.929420\pi\)
0.975518 0.219920i \(-0.0705795\pi\)
\(684\) −5.86741e6 8.11773e6i −0.479519 0.663429i
\(685\) −5.10193e6 3.70677e6i −0.415440 0.301835i
\(686\) 1.72367e6 + 2.37242e6i 0.139844 + 0.192478i
\(687\) −726160. + 526222.i −0.0587003 + 0.0425380i
\(688\) 1.06388e7 + 3.45675e6i 0.856881 + 0.278418i
\(689\) −3.18335e6 + 2.31284e6i −0.255468 + 0.185608i
\(690\) 498137. + 1.53955e6i 0.0398314 + 0.123104i
\(691\) 2.36816e6 + 7.28844e6i 0.188675 + 0.580683i 0.999992 0.00392342i \(-0.00124887\pi\)
−0.811317 + 0.584607i \(0.801249\pi\)
\(692\) −1.58379e7 −1.25728
\(693\) 2.67671e6 5.43948e6i 0.211723 0.430253i
\(694\) 480233. 0.0378489
\(695\) 871300. + 2.68159e6i 0.0684236 + 0.210586i
\(696\) 3.09615e6 + 9.56902e6i 0.242270 + 0.748763i
\(697\) −3.84641e6 + 2.79458e6i −0.299898 + 0.217888i
\(698\) 5.44748e6 + 1.76999e6i 0.423211 + 0.137510i
\(699\) −4.57442e6 + 3.31491e6i −0.354114 + 0.256613i
\(700\) −3.03709e6 4.18020e6i −0.234268 0.322442i
\(701\) 8.70669e6 + 6.32578e6i 0.669203 + 0.486204i 0.869758 0.493478i \(-0.164275\pi\)
−0.200555 + 0.979682i \(0.564275\pi\)
\(702\) 6611.06 1.79076e6i 0.000506324 0.137149i
\(703\) 379858.i 0.0289890i
\(704\) 7.24017e6 1.26878e6i 0.550576 0.0964841i
\(705\) −808304. 588788.i −0.0612494 0.0446156i
\(706\) 4981.04 1618.44i 0.000376104 0.000122204i
\(707\) 1.60644e6 2.21108e6i 0.120869 0.166362i
\(708\) 5028.11 4.08595e6i 0.000376983 0.306345i
\(709\) 1.24732e6 3.83885e6i 0.0931883 0.286804i −0.893589 0.448886i \(-0.851821\pi\)
0.986777 + 0.162082i \(0.0518209\pi\)
\(710\) −84945.5 + 261435.i −0.00632404 + 0.0194634i
\(711\) −1.41608e7 + 1.93901e7i −1.05054 + 1.43849i
\(712\) −6.51334e6 + 8.96484e6i −0.481508 + 0.662739i
\(713\) −1.77210e6 + 575789.i −0.130546 + 0.0424170i
\(714\) −937050. + 1.28641e6i −0.0687887 + 0.0944350i
\(715\) −293551. + 2.07289e6i −0.0214743 + 0.151639i
\(716\) 1.91789e6i 0.139811i
\(717\) −6.32486e6 + 1.93847e7i −0.459465 + 1.40819i
\(718\) −2.89087e6 2.10034e6i −0.209275 0.152047i
\(719\) 2.22229e6 + 3.05872e6i 0.160316 + 0.220657i 0.881617 0.471966i \(-0.156455\pi\)
−0.721301 + 0.692622i \(0.756455\pi\)
\(720\) −8256.16 + 3.35456e6i −0.000593536 + 0.241160i
\(721\) 8.13307e6 + 2.64259e6i 0.582661 + 0.189318i
\(722\) −669505. + 486424.i −0.0477981 + 0.0347273i
\(723\) 2.24332e7 7.25848e6i 1.59605 0.516416i
\(724\) 3.62096e6 + 1.11442e7i 0.256731 + 0.790136i
\(725\) −1.86543e7 −1.31806
\(726\) 3.74522e6 1.34902e6i 0.263716 0.0949899i
\(727\) 2.30783e7 1.61945 0.809726 0.586809i \(-0.199616\pi\)
0.809726 + 0.586809i \(0.199616\pi\)
\(728\) 558398. + 1.71857e6i 0.0390495 + 0.120182i
\(729\) 4.33318e6 + 1.36790e7i 0.301987 + 0.953312i
\(730\) −134615. + 97803.4i −0.00934944 + 0.00679277i
\(731\) 1.39665e7 + 4.53799e6i 0.966705 + 0.314101i
\(732\) −6.51829e6 8.99492e6i −0.449631 0.620468i
\(733\) −3.56450e6 4.90611e6i −0.245041 0.337270i 0.668726 0.743509i \(-0.266840\pi\)
−0.913767 + 0.406239i \(0.866840\pi\)
\(734\) −1.21522e6 882908.i −0.0832558 0.0604888i
\(735\) 3.35603e6 + 1.09501e6i 0.229143 + 0.0747650i
\(736\) 1.63528e7i 1.11275i
\(737\) 3.03492e6 2.14309e7i 0.205816 1.45336i
\(738\) 542419. + 1.68348e6i 0.0366601 + 0.113780i
\(739\) 2.18721e7 7.10668e6i 1.47326 0.478692i 0.541170 0.840913i \(-0.317982\pi\)
0.932092 + 0.362222i \(0.117982\pi\)
\(740\) 82403.8 113419.i 0.00553182 0.00761389i
\(741\) −6.49704e6 7995.16i −0.434680 0.000534911i
\(742\) 402011. 1.23726e6i 0.0268057 0.0824996i
\(743\) −2.33070e6 + 7.17317e6i −0.154887 + 0.476693i −0.998149 0.0608088i \(-0.980632\pi\)
0.843262 + 0.537502i \(0.180632\pi\)
\(744\) 756880. + 931.404i 0.0501296 + 6.16887e-5i
\(745\) −3.23811e6 + 4.45688e6i −0.213747 + 0.294198i
\(746\) 862991. 280403.i 0.0567753 0.0184474i
\(747\) −8.61470e6 2.67370e7i −0.564857 1.75312i
\(748\) 1.20719e7 2.11550e6i 0.788898 0.138248i
\(749\) 6.57032e6i 0.427939i
\(750\) 2.44389e6 + 797393.i 0.158646 + 0.0517630i
\(751\) −5.30255e6 3.85253e6i −0.343071 0.249256i 0.402885 0.915251i \(-0.368007\pi\)
−0.745957 + 0.665995i \(0.768007\pi\)
\(752\) 1.70019e6 + 2.34011e6i 0.109636 + 0.150901i
\(753\) 1.66251e7 + 2.29418e7i 1.06851 + 1.47448i
\(754\) 2.97540e6 + 966766.i 0.190597 + 0.0619289i
\(755\) 2.34342e6 1.70259e6i 0.149617 0.108703i
\(756\) −4.06052e6 5.63244e6i −0.258391 0.358420i
\(757\) 2.25280e6 + 6.93341e6i 0.142884 + 0.439751i 0.996733 0.0807695i \(-0.0257378\pi\)
−0.853849 + 0.520521i \(0.825738\pi\)
\(758\) −3.25483e6 −0.205757
\(759\) 4.01169e6 + 2.30591e7i 0.252768 + 1.45291i
\(760\) −2.38472e6 −0.149762
\(761\) 3.22162e6 + 9.91514e6i 0.201657 + 0.620636i 0.999834 + 0.0182135i \(0.00579785\pi\)
−0.798177 + 0.602423i \(0.794202\pi\)