Properties

Label 49.6.g.a.2.5
Level $49$
Weight $6$
Character 49.2
Analytic conductor $7.859$
Analytic rank $0$
Dimension $264$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [49,6,Mod(2,49)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(49, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([26]))
 
N = Newforms(chi, 6, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("49.2");
 
S:= CuspForms(chi, 6);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 49.g (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.85880717084\)
Analytic rank: \(0\)
Dimension: \(264\)
Relative dimension: \(22\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 2.5
Character \(\chi\) \(=\) 49.2
Dual form 49.6.g.a.25.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-7.56205 - 2.33258i) q^{2} +(-5.53040 + 14.0912i) q^{3} +(25.3041 + 17.2520i) q^{4} +(-100.121 + 15.0908i) q^{5} +(74.6902 - 93.6586i) q^{6} +(-91.8316 + 91.5093i) q^{7} +(6.78132 + 8.50350i) q^{8} +(10.1540 + 9.42155i) q^{9} +O(q^{10})\) \(q+(-7.56205 - 2.33258i) q^{2} +(-5.53040 + 14.0912i) q^{3} +(25.3041 + 17.2520i) q^{4} +(-100.121 + 15.0908i) q^{5} +(74.6902 - 93.6586i) q^{6} +(-91.8316 + 91.5093i) q^{7} +(6.78132 + 8.50350i) q^{8} +(10.1540 + 9.42155i) q^{9} +(792.323 + 119.423i) q^{10} +(-221.256 + 205.295i) q^{11} +(-383.044 + 261.155i) q^{12} +(-175.181 - 767.518i) q^{13} +(907.889 - 477.793i) q^{14} +(341.062 - 1494.29i) q^{15} +(-389.487 - 992.397i) q^{16} +(53.0859 + 708.383i) q^{17} +(-54.8087 - 94.9314i) q^{18} +(713.717 - 1236.19i) q^{19} +(-2793.82 - 1345.43i) q^{20} +(-781.613 - 1800.10i) q^{21} +(2152.01 - 1036.36i) q^{22} +(-89.7245 + 1197.29i) q^{23} +(-157.328 + 48.5293i) q^{24} +(6810.36 - 2100.72i) q^{25} +(-465.573 + 6212.64i) q^{26} +(-3503.08 + 1687.00i) q^{27} +(-3902.43 + 731.276i) q^{28} +(-390.631 - 188.118i) q^{29} +(-6064.69 + 10504.3i) q^{30} +(2717.30 + 4706.50i) q^{31} +(604.463 + 8066.00i) q^{32} +(-1669.23 - 4253.13i) q^{33} +(1250.92 - 5480.66i) q^{34} +(7813.34 - 10547.8i) q^{35} +(94.3971 + 413.581i) q^{36} +(3780.27 - 2577.34i) q^{37} +(-8280.70 + 7683.37i) q^{38} +(11784.1 + 1776.17i) q^{39} +(-807.279 - 749.045i) q^{40} +(-3800.23 - 4765.34i) q^{41} +(1711.71 + 15435.7i) q^{42} +(-14429.9 + 18094.5i) q^{43} +(-9140.42 + 1377.70i) q^{44} +(-1158.81 - 790.065i) q^{45} +(3471.28 - 8844.69i) q^{46} +(-1344.66 - 414.772i) q^{47} +16138.1 q^{48} +(59.0963 - 16806.9i) q^{49} -56400.4 q^{50} +(-10275.6 - 3169.60i) q^{51} +(8808.45 - 22443.6i) q^{52} +(16090.7 + 10970.5i) q^{53} +(30425.6 - 4585.92i) q^{54} +(19054.3 - 23893.3i) q^{55} +(-1400.89 - 160.337i) q^{56} +(13472.4 + 16893.8i) q^{57} +(2515.17 + 2333.74i) q^{58} +(-40720.2 - 6137.59i) q^{59} +(34409.8 - 31927.6i) q^{60} +(42761.3 - 29154.2i) q^{61} +(-9570.05 - 41929.1i) q^{62} +(-1794.62 + 63.9906i) q^{63} +(6652.35 - 29145.9i) q^{64} +(29121.8 + 74201.2i) q^{65} +(2702.02 + 36056.0i) q^{66} +(-3601.48 - 6237.95i) q^{67} +(-10877.7 + 18840.8i) q^{68} +(-16375.1 - 7885.83i) q^{69} +(-83688.7 + 61538.1i) q^{70} +(41124.2 - 19804.4i) q^{71} +(-11.2586 + 150.235i) q^{72} +(-23551.8 + 7264.77i) q^{73} +(-34598.5 + 10672.2i) q^{74} +(-8062.32 + 107584. i) q^{75} +(39386.8 - 18967.7i) q^{76} +(1531.84 - 39099.5i) q^{77} +(-84969.0 - 40918.9i) q^{78} +(4505.72 - 7804.14i) q^{79} +(53972.0 + 93482.3i) q^{80} +(-4146.86 - 55336.0i) q^{81} +(17622.0 + 44900.1i) q^{82} +(16605.1 - 72751.6i) q^{83} +(11277.4 - 59034.4i) q^{84} +(-16005.1 - 70123.0i) q^{85} +(151326. - 103173. i) q^{86} +(4811.16 - 4464.11i) q^{87} +(-3246.13 - 489.276i) q^{88} +(-91082.6 - 84512.3i) q^{89} +(6920.11 + 8677.54i) q^{90} +(86322.2 + 54451.8i) q^{91} +(-22926.1 + 28748.4i) q^{92} +(-81348.1 + 12261.3i) q^{93} +(9200.88 + 6273.06i) q^{94} +(-52803.0 + 134540. i) q^{95} +(-117003. - 36090.6i) q^{96} -143023. q^{97} +(-39650.4 + 126957. i) q^{98} -4180.83 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 264 q - 13 q^{2} - 22 q^{3} + 307 q^{4} - 52 q^{5} - 130 q^{6} + 154 q^{7} - 320 q^{8} + 6 q^{9} - 792 q^{10} - 635 q^{11} + 3605 q^{12} + 1834 q^{13} - 875 q^{14} - 2572 q^{15} + 3735 q^{16} - 1023 q^{17} - 1336 q^{18} + 9741 q^{19} + 8330 q^{20} + 1512 q^{21} + 842 q^{22} - 1553 q^{23} + 1756 q^{24} + 13144 q^{25} - 1946 q^{26} - 19849 q^{27} - 31584 q^{28} - 30356 q^{29} + 6129 q^{30} + 43903 q^{31} + 27725 q^{32} - 3412 q^{33} - 73182 q^{34} - 17360 q^{35} - 102868 q^{36} - 22105 q^{37} + 19116 q^{38} + 109165 q^{39} + 77354 q^{40} + 47446 q^{41} + 157738 q^{42} + 6674 q^{43} + 15154 q^{44} - 130923 q^{45} - 136952 q^{46} - 195163 q^{47} - 151484 q^{48} - 131194 q^{49} + 263000 q^{50} - 84276 q^{51} - 58758 q^{52} - 110577 q^{53} + 170313 q^{54} + 290245 q^{55} + 79688 q^{56} + 47310 q^{57} + 252156 q^{58} + 127308 q^{59} + 86254 q^{60} + 166863 q^{61} - 63578 q^{62} - 243033 q^{63} - 293812 q^{64} - 16702 q^{65} - 661788 q^{66} + 46195 q^{67} + 393869 q^{68} + 321394 q^{69} - 64330 q^{70} - 61793 q^{71} + 333944 q^{72} + 21699 q^{73} + 133514 q^{74} - 431136 q^{75} + 3087 q^{76} - 48993 q^{77} - 450576 q^{78} - 181 q^{79} + 264228 q^{80} + 142090 q^{81} - 512442 q^{82} + 102424 q^{83} + 344932 q^{84} - 205502 q^{85} + 611991 q^{86} + 1427200 q^{87} + 685993 q^{88} + 145800 q^{89} + 677844 q^{90} + 732956 q^{91} + 10018 q^{92} - 1233536 q^{93} - 601938 q^{94} - 945265 q^{95} - 2372958 q^{96} - 1932952 q^{97} - 672973 q^{98} + 1090736 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.56205 2.33258i −1.33679 0.412347i −0.457748 0.889082i \(-0.651344\pi\)
−0.879047 + 0.476735i \(0.841820\pi\)
\(3\) −5.53040 + 14.0912i −0.354776 + 0.903953i 0.636395 + 0.771363i \(0.280425\pi\)
−0.991171 + 0.132590i \(0.957671\pi\)
\(4\) 25.3041 + 17.2520i 0.790752 + 0.539126i
\(5\) −100.121 + 15.0908i −1.79102 + 0.269953i −0.958717 0.284363i \(-0.908218\pi\)
−0.832306 + 0.554316i \(0.812980\pi\)
\(6\) 74.6902 93.6586i 0.847004 1.06211i
\(7\) −91.8316 + 91.5093i −0.708349 + 0.705863i
\(8\) 6.78132 + 8.50350i 0.0374618 + 0.0469757i
\(9\) 10.1540 + 9.42155i 0.0417861 + 0.0387718i
\(10\) 792.323 + 119.423i 2.50554 + 0.377650i
\(11\) −221.256 + 205.295i −0.551331 + 0.511560i −0.905913 0.423465i \(-0.860814\pi\)
0.354582 + 0.935025i \(0.384623\pi\)
\(12\) −383.044 + 261.155i −0.767884 + 0.523534i
\(13\) −175.181 767.518i −0.287494 1.25959i −0.887952 0.459937i \(-0.847872\pi\)
0.600458 0.799656i \(-0.294985\pi\)
\(14\) 907.889 477.793i 1.23798 0.651508i
\(15\) 341.062 1494.29i 0.391386 1.71477i
\(16\) −389.487 992.397i −0.380358 0.969137i
\(17\) 53.0859 + 708.383i 0.0445510 + 0.594492i 0.974148 + 0.225913i \(0.0725364\pi\)
−0.929597 + 0.368579i \(0.879845\pi\)
\(18\) −54.8087 94.9314i −0.0398720 0.0690603i
\(19\) 713.717 1236.19i 0.453568 0.785603i −0.545037 0.838412i \(-0.683484\pi\)
0.998605 + 0.0528096i \(0.0168176\pi\)
\(20\) −2793.82 1345.43i −1.56179 0.752120i
\(21\) −781.613 1800.10i −0.386762 0.890737i
\(22\) 2152.01 1036.36i 0.947957 0.456512i
\(23\) −89.7245 + 1197.29i −0.0353665 + 0.471933i 0.951200 + 0.308574i \(0.0998518\pi\)
−0.986567 + 0.163359i \(0.947767\pi\)
\(24\) −157.328 + 48.5293i −0.0557543 + 0.0171979i
\(25\) 6810.36 2100.72i 2.17932 0.672230i
\(26\) −465.573 + 6212.64i −0.135069 + 1.80236i
\(27\) −3503.08 + 1687.00i −0.924786 + 0.445353i
\(28\) −3902.43 + 731.276i −0.940677 + 0.176273i
\(29\) −390.631 188.118i −0.0862525 0.0415370i 0.390260 0.920705i \(-0.372385\pi\)
−0.476513 + 0.879168i \(0.658099\pi\)
\(30\) −6064.69 + 10504.3i −1.23028 + 2.13091i
\(31\) 2717.30 + 4706.50i 0.507847 + 0.879617i 0.999959 + 0.00908502i \(0.00289189\pi\)
−0.492112 + 0.870532i \(0.663775\pi\)
\(32\) 604.463 + 8066.00i 0.104351 + 1.39246i
\(33\) −1669.23 4253.13i −0.266828 0.679866i
\(34\) 1250.92 5480.66i 0.185581 0.813084i
\(35\) 7813.34 10547.8i 1.07812 1.45544i
\(36\) 94.3971 + 413.581i 0.0121396 + 0.0531868i
\(37\) 3780.27 2577.34i 0.453961 0.309505i −0.314666 0.949202i \(-0.601893\pi\)
0.768627 + 0.639697i \(0.220940\pi\)
\(38\) −8280.70 + 7683.37i −0.930268 + 0.863162i
\(39\) 11784.1 + 1776.17i 1.24061 + 0.186992i
\(40\) −807.279 749.045i −0.0797762 0.0740215i
\(41\) −3800.23 4765.34i −0.353062 0.442725i 0.573309 0.819340i \(-0.305660\pi\)
−0.926370 + 0.376614i \(0.877088\pi\)
\(42\) 1711.71 + 15435.7i 0.149729 + 1.35021i
\(43\) −14429.9 + 18094.5i −1.19012 + 1.49237i −0.361670 + 0.932306i \(0.617793\pi\)
−0.828452 + 0.560060i \(0.810778\pi\)
\(44\) −9140.42 + 1377.70i −0.711761 + 0.107281i
\(45\) −1158.81 790.065i −0.0853064 0.0581609i
\(46\) 3471.28 8844.69i 0.241878 0.616294i
\(47\) −1344.66 414.772i −0.0887906 0.0273883i 0.250042 0.968235i \(-0.419556\pi\)
−0.338832 + 0.940847i \(0.610032\pi\)
\(48\) 16138.1 1.01100
\(49\) 59.0963 16806.9i 0.00351617 0.999994i
\(50\) −56400.4 −3.19049
\(51\) −10275.6 3169.60i −0.553198 0.170639i
\(52\) 8808.45 22443.6i 0.451743 1.15102i
\(53\) 16090.7 + 10970.5i 0.786840 + 0.536458i 0.888781 0.458332i \(-0.151553\pi\)
−0.101941 + 0.994790i \(0.532505\pi\)
\(54\) 30425.6 4585.92i 1.41989 0.214014i
\(55\) 19054.3 23893.3i 0.849349 1.06505i
\(56\) −1400.89 160.337i −0.0596944 0.00683225i
\(57\) 13472.4 + 16893.8i 0.549233 + 0.688717i
\(58\) 2515.17 + 2333.74i 0.0981743 + 0.0910924i
\(59\) −40720.2 6137.59i −1.52293 0.229545i −0.666382 0.745611i \(-0.732158\pi\)
−0.856549 + 0.516066i \(0.827396\pi\)
\(60\) 34409.8 31927.6i 1.23397 1.14495i
\(61\) 42761.3 29154.2i 1.47138 1.00317i 0.479293 0.877655i \(-0.340893\pi\)
0.992091 0.125518i \(-0.0400594\pi\)
\(62\) −9570.05 41929.1i −0.316180 1.38528i
\(63\) −1794.62 + 63.9906i −0.0569667 + 0.00203126i
\(64\) 6652.35 29145.9i 0.203014 0.889461i
\(65\) 29121.8 + 74201.2i 0.854940 + 2.17835i
\(66\) 2702.02 + 36056.0i 0.0763536 + 1.01887i
\(67\) −3601.48 6237.95i −0.0980154 0.169768i 0.812848 0.582476i \(-0.197916\pi\)
−0.910863 + 0.412709i \(0.864583\pi\)
\(68\) −10877.7 + 18840.8i −0.285277 + 0.494114i
\(69\) −16375.1 7885.83i −0.414058 0.199400i
\(70\) −83688.7 + 61538.1i −2.04137 + 1.50106i
\(71\) 41124.2 19804.4i 0.968169 0.466246i 0.118149 0.992996i \(-0.462304\pi\)
0.850020 + 0.526750i \(0.176590\pi\)
\(72\) −11.2586 + 150.235i −0.000255948 + 0.00341539i
\(73\) −23551.8 + 7264.77i −0.517270 + 0.159557i −0.542388 0.840128i \(-0.682480\pi\)
0.0251187 + 0.999684i \(0.492004\pi\)
\(74\) −34598.5 + 10672.2i −0.734476 + 0.226556i
\(75\) −8062.32 + 107584.i −0.165503 + 2.20849i
\(76\) 39386.8 18967.7i 0.782198 0.376687i
\(77\) 1531.84 39099.5i 0.0294433 0.751527i
\(78\) −84969.0 40918.9i −1.58133 0.761531i
\(79\) 4505.72 7804.14i 0.0812263 0.140688i −0.822551 0.568692i \(-0.807450\pi\)
0.903777 + 0.428004i \(0.140783\pi\)
\(80\) 53972.0 + 93482.3i 0.942852 + 1.63307i
\(81\) −4146.86 55336.0i −0.0702274 0.937120i
\(82\) 17622.0 + 44900.1i 0.289415 + 0.737417i
\(83\) 16605.1 72751.6i 0.264573 1.15917i −0.651656 0.758515i \(-0.725925\pi\)
0.916229 0.400655i \(-0.131218\pi\)
\(84\) 11277.4 59034.4i 0.174386 0.912865i
\(85\) −16005.1 70123.0i −0.240277 1.05272i
\(86\) 151326. 103173.i 2.20632 1.50424i
\(87\) 4811.16 4464.11i 0.0681478 0.0632319i
\(88\) −3246.13 489.276i −0.0446848 0.00673514i
\(89\) −91082.6 84512.3i −1.21888 1.13095i −0.987422 0.158108i \(-0.949461\pi\)
−0.231456 0.972845i \(-0.574349\pi\)
\(90\) 6920.11 + 8677.54i 0.0900547 + 0.112925i
\(91\) 86322.2 + 54451.8i 1.09275 + 0.689300i
\(92\) −22926.1 + 28748.4i −0.282397 + 0.354115i
\(93\) −81348.1 + 12261.3i −0.975305 + 0.147004i
\(94\) 9200.88 + 6273.06i 0.107401 + 0.0732250i
\(95\) −52803.0 + 134540.i −0.600274 + 1.52947i
\(96\) −117003. 36090.6i −1.29574 0.399683i
\(97\) −143023. −1.54339 −0.771695 0.635993i \(-0.780591\pi\)
−0.771695 + 0.635993i \(0.780591\pi\)
\(98\) −39650.4 + 126957.i −0.417044 + 1.33534i
\(99\) −4180.83 −0.0428721
\(100\) 208572. + 64335.8i 2.08572 + 0.643358i
\(101\) −23254.9 + 59252.4i −0.226835 + 0.577966i −0.998299 0.0583072i \(-0.981430\pi\)
0.771464 + 0.636273i \(0.219525\pi\)
\(102\) 70311.1 + 47937.3i 0.669150 + 0.456219i
\(103\) 64668.9 9747.28i 0.600624 0.0905295i 0.158310 0.987390i \(-0.449396\pi\)
0.442315 + 0.896860i \(0.354158\pi\)
\(104\) 5338.63 6694.44i 0.0484002 0.0606919i
\(105\) 105421. + 168433.i 0.933157 + 1.49092i
\(106\) −96089.5 120492.i −0.830637 1.04159i
\(107\) 43310.9 + 40186.6i 0.365711 + 0.339330i 0.841527 0.540215i \(-0.181657\pi\)
−0.475817 + 0.879544i \(0.657847\pi\)
\(108\) −117746. 17747.4i −0.971378 0.146412i
\(109\) 127133. 117963.i 1.02493 0.950994i 0.0261129 0.999659i \(-0.491687\pi\)
0.998815 + 0.0486647i \(0.0154966\pi\)
\(110\) −199823. + 136237.i −1.57458 + 1.07353i
\(111\) 15411.6 + 67522.4i 0.118724 + 0.520164i
\(112\) 126581. + 55491.7i 0.953504 + 0.418007i
\(113\) 13985.4 61273.9i 0.103033 0.451419i −0.896924 0.442185i \(-0.854204\pi\)
0.999957 0.00923385i \(-0.00293927\pi\)
\(114\) −62472.5 159177.i −0.450222 1.14715i
\(115\) −9084.80 121228.i −0.0640576 0.854789i
\(116\) −6639.14 11499.3i −0.0458107 0.0793464i
\(117\) 5452.42 9443.87i 0.0368235 0.0637801i
\(118\) 293612. + 141396.i 1.94119 + 0.934830i
\(119\) −69698.6 60194.1i −0.451187 0.389661i
\(120\) 15019.6 7233.03i 0.0952147 0.0458530i
\(121\) −5227.44 + 69755.3i −0.0324583 + 0.433126i
\(122\) −391368. + 120721.i −2.38059 + 0.734316i
\(123\) 88166.4 27195.7i 0.525461 0.162083i
\(124\) −12437.9 + 165972.i −0.0726429 + 0.969353i
\(125\) −365082. + 175814.i −2.08985 + 1.00642i
\(126\) 13720.3 + 3702.20i 0.0769904 + 0.0207746i
\(127\) 282870. + 136223.i 1.55624 + 0.749446i 0.996839 0.0794502i \(-0.0253165\pi\)
0.559402 + 0.828896i \(0.311031\pi\)
\(128\) 11127.1 19272.8i 0.0600287 0.103973i
\(129\) −175171. 303405.i −0.926803 1.60527i
\(130\) −47140.2 629043.i −0.244643 3.26454i
\(131\) −12456.0 31737.4i −0.0634164 0.161582i 0.895653 0.444754i \(-0.146709\pi\)
−0.959069 + 0.283171i \(0.908613\pi\)
\(132\) 31136.8 136419.i 0.155539 0.681460i
\(133\) 47581.5 + 178834.i 0.233243 + 0.876637i
\(134\) 12684.1 + 55572.5i 0.0610234 + 0.267361i
\(135\) 325275. 221769.i 1.53609 1.04729i
\(136\) −5663.74 + 5255.18i −0.0262577 + 0.0243636i
\(137\) −14756.4 2224.18i −0.0671708 0.0101244i 0.115371 0.993322i \(-0.463194\pi\)
−0.182542 + 0.983198i \(0.558432\pi\)
\(138\) 105435. + 97829.4i 0.471289 + 0.437292i
\(139\) −100218. 125670.i −0.439957 0.551688i 0.511575 0.859239i \(-0.329062\pi\)
−0.951532 + 0.307550i \(0.900491\pi\)
\(140\) 379681. 132107.i 1.63719 0.569648i
\(141\) 13281.1 16654.0i 0.0562585 0.0705459i
\(142\) −357179. + 53836.0i −1.48650 + 0.224054i
\(143\) 196327. + 133854.i 0.802862 + 0.547382i
\(144\) 5395.06 13746.4i 0.0216815 0.0552436i
\(145\) 41949.3 + 12939.6i 0.165693 + 0.0511096i
\(146\) 195046. 0.757276
\(147\) 236503. + 93781.6i 0.902700 + 0.357952i
\(148\) 140121. 0.525833
\(149\) −178748. 55136.3i −0.659590 0.203457i −0.0531511 0.998586i \(-0.516927\pi\)
−0.606439 + 0.795130i \(0.707403\pi\)
\(150\) 311917. 794752.i 1.13191 2.88405i
\(151\) −47612.0 32461.3i −0.169932 0.115857i 0.475368 0.879787i \(-0.342315\pi\)
−0.645299 + 0.763930i \(0.723267\pi\)
\(152\) 15351.9 2313.93i 0.0538957 0.00812347i
\(153\) −6135.03 + 7693.08i −0.0211879 + 0.0265688i
\(154\) −102787. + 292100.i −0.349249 + 0.992497i
\(155\) −343084. 430214.i −1.14702 1.43832i
\(156\) 267543. + 248244.i 0.880202 + 0.816708i
\(157\) −306758. 46236.3i −0.993223 0.149704i −0.367729 0.929933i \(-0.619865\pi\)
−0.625494 + 0.780229i \(0.715103\pi\)
\(158\) −52276.3 + 48505.3i −0.166595 + 0.154578i
\(159\) −243576. + 166067.i −0.764085 + 0.520944i
\(160\) −182242. 798456.i −0.562794 2.46576i
\(161\) −101324. 118160.i −0.308068 0.359257i
\(162\) −97717.1 + 428127.i −0.292539 + 1.28170i
\(163\) −91077.9 232063.i −0.268500 0.684126i −0.999997 0.00228236i \(-0.999274\pi\)
0.731498 0.681844i \(-0.238822\pi\)
\(164\) −13949.6 186144.i −0.0404997 0.540431i
\(165\) 231309. + 400638.i 0.661427 + 1.14563i
\(166\) −295268. + 511419.i −0.831660 + 1.44048i
\(167\) 514850. + 247939.i 1.42853 + 0.687945i 0.978724 0.205181i \(-0.0657782\pi\)
0.449808 + 0.893125i \(0.351493\pi\)
\(168\) 10006.8 18853.5i 0.0273541 0.0515370i
\(169\) −223872. + 107811.i −0.602953 + 0.290367i
\(170\) −42536.3 + 567608.i −0.112885 + 1.50635i
\(171\) 18894.0 5828.02i 0.0494121 0.0152416i
\(172\) −677301. + 208920.i −1.74566 + 0.538466i
\(173\) 6383.31 85179.4i 0.0162155 0.216381i −0.983210 0.182479i \(-0.941588\pi\)
0.999425 0.0339016i \(-0.0107933\pi\)
\(174\) −46795.2 + 22535.4i −0.117173 + 0.0564276i
\(175\) −433171. + 816124.i −1.06921 + 2.01447i
\(176\) 289910. + 139613.i 0.705476 + 0.339739i
\(177\) 311685. 539855.i 0.747796 1.29522i
\(178\) 491639. + 851544.i 1.16305 + 2.01445i
\(179\) −11191.4 149339.i −0.0261067 0.348369i −0.994927 0.100603i \(-0.967923\pi\)
0.968820 0.247766i \(-0.0796964\pi\)
\(180\) −15692.4 39983.7i −0.0361002 0.0919817i
\(181\) −83652.5 + 366506.i −0.189794 + 0.831542i 0.786930 + 0.617042i \(0.211669\pi\)
−0.976724 + 0.214500i \(0.931188\pi\)
\(182\) −525760. 613121.i −1.17655 1.37204i
\(183\) 174331. + 763794.i 0.384810 + 1.68596i
\(184\) −10789.6 + 7356.23i −0.0234942 + 0.0160181i
\(185\) −339591. + 315094.i −0.729502 + 0.676879i
\(186\) 643759. + 97031.1i 1.36440 + 0.205650i
\(187\) −157173. 145835.i −0.328681 0.304971i
\(188\) −26869.7 33693.5i −0.0554457 0.0695267i
\(189\) 167318. 475484.i 0.340713 0.968237i
\(190\) 713125. 894231.i 1.43312 1.79707i
\(191\) −330309. + 49786.0i −0.655144 + 0.0987470i −0.468198 0.883623i \(-0.655097\pi\)
−0.186945 + 0.982370i \(0.559859\pi\)
\(192\) 373911. + 254928.i 0.732007 + 0.499074i
\(193\) −282336. + 719379.i −0.545598 + 1.39016i 0.346386 + 0.938092i \(0.387409\pi\)
−0.891984 + 0.452068i \(0.850686\pi\)
\(194\) 1.08154e6 + 333612.i 2.06319 + 0.636411i
\(195\) −1.20664e6 −2.27244
\(196\) 291448. 424263.i 0.541903 0.788852i
\(197\) −345301. −0.633916 −0.316958 0.948440i \(-0.602661\pi\)
−0.316958 + 0.948440i \(0.602661\pi\)
\(198\) 31615.7 + 9752.14i 0.0573112 + 0.0176782i
\(199\) 17504.7 44601.1i 0.0313344 0.0798386i −0.914350 0.404924i \(-0.867298\pi\)
0.945685 + 0.325086i \(0.105393\pi\)
\(200\) 64046.7 + 43666.3i 0.113220 + 0.0771918i
\(201\) 107818. 16251.0i 0.188235 0.0283719i
\(202\) 314066. 393826.i 0.541554 0.679088i
\(203\) 53086.8 18471.2i 0.0904163 0.0314597i
\(204\) −205332. 257478.i −0.345447 0.433177i
\(205\) 452397. + 419763.i 0.751857 + 0.697621i
\(206\) −511766. 77136.4i −0.840241 0.126646i
\(207\) −12191.4 + 11312.0i −0.0197755 + 0.0183490i
\(208\) −693452. + 472787.i −1.11137 + 0.757718i
\(209\) 95870.8 + 420038.i 0.151817 + 0.665154i
\(210\) −404315. 1.51961e6i −0.632662 2.37784i
\(211\) 127081. 556778.i 0.196505 0.860946i −0.776492 0.630128i \(-0.783003\pi\)
0.972997 0.230818i \(-0.0741403\pi\)
\(212\) 217898. + 555196.i 0.332977 + 0.848411i
\(213\) 51634.7 + 689017.i 0.0779816 + 1.04059i
\(214\) −233780. 404920.i −0.348958 0.604414i
\(215\) 1.17168e6 2.02940e6i 1.72867 2.99414i
\(216\) −38100.9 18348.4i −0.0555649 0.0267587i
\(217\) −680222. 183547.i −0.980622 0.264605i
\(218\) −1.23655e6 + 595490.i −1.76226 + 0.848659i
\(219\) 27881.4 372051.i 0.0392829 0.524194i
\(220\) 894360. 275873.i 1.24582 0.384285i
\(221\) 534397. 164840.i 0.736009 0.227029i
\(222\) 40958.8 546557.i 0.0557782 0.744308i
\(223\) 601302. 289572.i 0.809712 0.389937i 0.0172449 0.999851i \(-0.494511\pi\)
0.792467 + 0.609915i \(0.208796\pi\)
\(224\) −793622. 685400.i −1.05680 0.912691i
\(225\) 88944.5 + 42833.4i 0.117129 + 0.0564062i
\(226\) −248685. + 430734.i −0.323875 + 0.560969i
\(227\) 193167. + 334575.i 0.248810 + 0.430952i 0.963196 0.268800i \(-0.0866272\pi\)
−0.714386 + 0.699752i \(0.753294\pi\)
\(228\) 49453.3 + 659908.i 0.0630025 + 0.840710i
\(229\) −466871. 1.18957e6i −0.588312 1.49900i −0.846224 0.532827i \(-0.821130\pi\)
0.257912 0.966169i \(-0.416966\pi\)
\(230\) −214075. + 937926.i −0.266838 + 1.16909i
\(231\) 542489. + 237822.i 0.668900 + 0.293239i
\(232\) −1049.33 4597.42i −0.00127995 0.00560782i
\(233\) 257602. 175630.i 0.310856 0.211938i −0.397835 0.917457i \(-0.630238\pi\)
0.708691 + 0.705519i \(0.249286\pi\)
\(234\) −63260.1 + 58696.8i −0.0755249 + 0.0700769i
\(235\) 140888. + 21235.5i 0.166420 + 0.0250837i
\(236\) −924502. 857812.i −1.08051 1.00256i
\(237\) 85051.5 + 106651.i 0.0983583 + 0.123337i
\(238\) 386657. + 617769.i 0.442469 + 0.706942i
\(239\) 130563. 163720.i 0.147851 0.185399i −0.702391 0.711791i \(-0.747884\pi\)
0.850242 + 0.526392i \(0.176456\pi\)
\(240\) −1.61577e6 + 243538.i −1.81072 + 0.272922i
\(241\) 273624. + 186553.i 0.303467 + 0.206900i 0.705473 0.708737i \(-0.250735\pi\)
−0.402006 + 0.915637i \(0.631687\pi\)
\(242\) 202240. 515300.i 0.221988 0.565616i
\(243\) −100154. 30893.3i −0.108805 0.0335620i
\(244\) 1.58500e6 1.70434
\(245\) 247713. + 1.68362e6i 0.263654 + 1.79196i
\(246\) −730155. −0.769267
\(247\) −1.07383e6 331233.i −1.11994 0.345455i
\(248\) −21594.9 + 55022.8i −0.0222957 + 0.0568085i
\(249\) 933327. + 636332.i 0.953972 + 0.650407i
\(250\) 3.17087e6 477932.i 3.20870 0.483633i
\(251\) 888091. 1.11363e6i 0.889761 1.11572i −0.102888 0.994693i \(-0.532808\pi\)
0.992649 0.121032i \(-0.0386203\pi\)
\(252\) −46515.1 29341.6i −0.0461416 0.0291060i
\(253\) −225946. 283327.i −0.221923 0.278283i
\(254\) −1.82132e6 1.68994e6i −1.77134 1.64357i
\(255\) 1.07664e6 + 162277.i 1.03686 + 0.156281i
\(256\) −830376. + 770476.i −0.791908 + 0.734783i
\(257\) 703745. 479805.i 0.664634 0.453140i −0.183431 0.983033i \(-0.558720\pi\)
0.848064 + 0.529893i \(0.177768\pi\)
\(258\) 616934. + 2.70296e6i 0.577018 + 2.52808i
\(259\) −111297. + 582611.i −0.103094 + 0.539672i
\(260\) −543220. + 2.38000e6i −0.498359 + 2.18346i
\(261\) −2194.11 5590.50i −0.00199369 0.00507983i
\(262\) 20162.9 + 269055.i 0.0181468 + 0.242152i
\(263\) −390064. 675610.i −0.347733 0.602292i 0.638113 0.769943i \(-0.279715\pi\)
−0.985846 + 0.167651i \(0.946382\pi\)
\(264\) 24846.9 43036.1i 0.0219413 0.0380035i
\(265\) −1.77658e6 855555.i −1.55407 0.748399i
\(266\) 57330.7 1.46334e6i 0.0496801 1.26806i
\(267\) 1.69461e6 816079.i 1.45476 0.700574i
\(268\) 16485.1 219978.i 0.0140202 0.187087i
\(269\) 1.61475e6 498085.i 1.36058 0.419685i 0.473298 0.880903i \(-0.343064\pi\)
0.887287 + 0.461218i \(0.152587\pi\)
\(270\) −2.97704e6 + 918295.i −2.48528 + 0.766607i
\(271\) −130566. + 1.74228e6i −0.107995 + 1.44110i 0.635367 + 0.772210i \(0.280849\pi\)
−0.743362 + 0.668889i \(0.766770\pi\)
\(272\) 682320. 328588.i 0.559199 0.269296i
\(273\) −1.24469e6 + 915247.i −1.01077 + 0.743244i
\(274\) 106401. + 51240.0i 0.0856188 + 0.0412319i
\(275\) −1.07556e6 + 1.86293e6i −0.857638 + 1.48547i
\(276\) −278310. 482047.i −0.219916 0.380905i
\(277\) −157931. 2.10744e6i −0.123671 1.65027i −0.621805 0.783172i \(-0.713600\pi\)
0.498135 0.867100i \(-0.334019\pi\)
\(278\) 464721. + 1.18409e6i 0.360645 + 0.918909i
\(279\) −16751.0 + 73391.0i −0.0128834 + 0.0564459i
\(280\) 142678. 5087.47i 0.108758 0.00387799i
\(281\) 110413. + 483752.i 0.0834171 + 0.365474i 0.999358 0.0358400i \(-0.0114107\pi\)
−0.915940 + 0.401314i \(0.868554\pi\)
\(282\) −139280. + 94959.3i −0.104295 + 0.0711074i
\(283\) −793866. + 736600.i −0.589225 + 0.546721i −0.917436 0.397884i \(-0.869745\pi\)
0.328211 + 0.944604i \(0.393554\pi\)
\(284\) 1.38227e6 + 208344.i 1.01695 + 0.153280i
\(285\) −1.60381e6 1.48812e6i −1.16961 1.08524i
\(286\) −1.17241e6 1.47016e6i −0.847551 1.06280i
\(287\) 785055. + 89852.4i 0.562594 + 0.0643910i
\(288\) −69856.5 + 87597.2i −0.0496278 + 0.0622313i
\(289\) 905010. 136408.i 0.637395 0.0960719i
\(290\) −287040. 195701.i −0.200423 0.136646i
\(291\) 790973. 2.01537e6i 0.547557 1.39515i
\(292\) −721288. 222488.i −0.495053 0.152704i
\(293\) −1.09788e6 −0.747115 −0.373557 0.927607i \(-0.621862\pi\)
−0.373557 + 0.927607i \(0.621862\pi\)
\(294\) −1.56970e6 1.26085e6i −1.05912 0.850733i
\(295\) 4.16958e6 2.78957
\(296\) 47551.7 + 14667.7i 0.0315454 + 0.00973047i
\(297\) 428745. 1.09242e6i 0.282038 0.718621i
\(298\) 1.22309e6 + 833887.i 0.797842 + 0.543960i
\(299\) 934660. 140877.i 0.604611 0.0911304i
\(300\) −2.06006e6 + 2.58323e6i −1.32153 + 1.65714i
\(301\) −330695. 2.98212e6i −0.210384 1.89718i
\(302\) 284326. + 356533.i 0.179390 + 0.224948i
\(303\) −706331. 655379.i −0.441979 0.410097i
\(304\) −1.50478e6 226809.i −0.933875 0.140759i
\(305\) −3.84135e6 + 3.56425e6i −2.36447 + 2.19391i
\(306\) 64338.2 43865.0i 0.0392794 0.0267803i
\(307\) 113141. + 495702.i 0.0685130 + 0.300175i 0.997562 0.0697808i \(-0.0222300\pi\)
−0.929049 + 0.369956i \(0.879373\pi\)
\(308\) 713308. 962950.i 0.428450 0.578398i
\(309\) −220294. + 965172.i −0.131252 + 0.575054i
\(310\) 1.59091e6 + 4.05358e6i 0.940246 + 2.39571i
\(311\) 59405.2 + 792707.i 0.0348276 + 0.464742i 0.987166 + 0.159698i \(0.0510520\pi\)
−0.952338 + 0.305044i \(0.901329\pi\)
\(312\) 64808.1 + 112251.i 0.0376914 + 0.0652835i
\(313\) −896314. + 1.55246e6i −0.517130 + 0.895695i 0.482672 + 0.875801i \(0.339666\pi\)
−0.999802 + 0.0198940i \(0.993667\pi\)
\(314\) 2.21187e6 + 1.06518e6i 1.26601 + 0.609676i
\(315\) 178714. 33489.1i 0.101480 0.0190164i
\(316\) 248650. 119744.i 0.140078 0.0674582i
\(317\) 184618. 2.46355e6i 0.103187 1.37693i −0.669813 0.742529i \(-0.733626\pi\)
0.773000 0.634405i \(-0.218755\pi\)
\(318\) 2.22930e6 687648.i 1.23623 0.381328i
\(319\) 125049. 38572.5i 0.0688024 0.0212227i
\(320\) −226206. + 3.01851e6i −0.123489 + 1.64785i
\(321\) −805806. + 388056.i −0.436483 + 0.210199i
\(322\) 490597. + 1.12988e6i 0.263685 + 0.607283i
\(323\) 913587. + 439961.i 0.487241 + 0.234643i
\(324\) 849726. 1.47177e6i 0.449693 0.778891i
\(325\) −2.80539e6 4.85907e6i −1.47328 2.55179i
\(326\) 147430. + 1.96732e6i 0.0768320 + 1.02525i
\(327\) 959139. + 2.44385e6i 0.496035 + 1.26388i
\(328\) 14751.5 64630.6i 0.00757097 0.0331706i
\(329\) 161438. 84959.5i 0.0822271 0.0432735i
\(330\) −814646. 3.56920e6i −0.411798 1.80420i
\(331\) 1.56387e6 1.06623e6i 0.784570 0.534911i −0.103494 0.994630i \(-0.533002\pi\)
0.888064 + 0.459719i \(0.152050\pi\)
\(332\) 1.67529e6 1.55444e6i 0.834150 0.773978i
\(333\) 62667.5 + 9445.60i 0.0309693 + 0.00466787i
\(334\) −3.31499e6 3.07586e6i −1.62598 1.50869i
\(335\) 454721. + 570202.i 0.221377 + 0.277598i
\(336\) −1.48199e6 + 1.47679e6i −0.716138 + 0.713625i
\(337\) −1.79418e6 + 2.24984e6i −0.860582 + 1.07914i 0.135507 + 0.990776i \(0.456734\pi\)
−0.996089 + 0.0883592i \(0.971838\pi\)
\(338\) 1.94441e6 293073.i 0.925757 0.139535i
\(339\) 786080. + 535940.i 0.371508 + 0.253290i
\(340\) 804769. 2.05052e6i 0.377550 0.961981i
\(341\) −1.56744e6 483491.i −0.729969 0.225166i
\(342\) −156472. −0.0723386
\(343\) 1.53256e6 + 1.54881e6i 0.703367 + 0.710826i
\(344\) −251720. −0.114689
\(345\) 1.75850e6 + 542425.i 0.795416 + 0.245353i
\(346\) −246959. + 629241.i −0.110901 + 0.282571i
\(347\) −408641. 278607.i −0.182187 0.124213i 0.468792 0.883308i \(-0.344689\pi\)
−0.650980 + 0.759095i \(0.725642\pi\)
\(348\) 198757. 29957.8i 0.0879780 0.0132605i
\(349\) −1.47404e6 + 1.84838e6i −0.647805 + 0.812322i −0.991955 0.126593i \(-0.959596\pi\)
0.344149 + 0.938915i \(0.388167\pi\)
\(350\) 5.17934e6 5.16116e6i 2.25998 2.25205i
\(351\) 1.90847e6 + 2.39315e6i 0.826834 + 1.03682i
\(352\) −1.78965e6 1.66055e6i −0.769860 0.714325i
\(353\) −550872. 83030.6i −0.235296 0.0354651i 0.0303358 0.999540i \(-0.490342\pi\)
−0.265631 + 0.964075i \(0.585580\pi\)
\(354\) −3.61624e6 + 3.35538e6i −1.53373 + 1.42309i
\(355\) −3.81854e6 + 2.60344e6i −1.60815 + 1.09642i
\(356\) −846752. 3.70986e6i −0.354104 1.55143i
\(357\) 1.23367e6 649242.i 0.512305 0.269610i
\(358\) −263715. + 1.15541e6i −0.108750 + 0.476463i
\(359\) −84867.8 216240.i −0.0347542 0.0885521i 0.912443 0.409204i \(-0.134193\pi\)
−0.947197 + 0.320651i \(0.896098\pi\)
\(360\) −1139.95 15211.6i −0.000463587 0.00618614i
\(361\) 219264. + 379777.i 0.0885523 + 0.153377i
\(362\) 1.48749e6 2.57641e6i 0.596599 1.03334i
\(363\) −954029. 459436.i −0.380010 0.183003i
\(364\) 1.24490e6 + 2.86708e6i 0.492472 + 1.13419i
\(365\) 2.24840e6 1.08277e6i 0.883369 0.425408i
\(366\) 463314. 6.18249e6i 0.180789 2.41246i
\(367\) 1.16643e6 359796.i 0.452057 0.139441i −0.0603621 0.998177i \(-0.519226\pi\)
0.512419 + 0.858735i \(0.328749\pi\)
\(368\) 1.22313e6 377287.i 0.470819 0.145229i
\(369\) 6309.28 84191.4i 0.00241220 0.0321886i
\(370\) 3.30299e6 1.59064e6i 1.25430 0.604041i
\(371\) −2.48154e6 + 465015.i −0.936023 + 0.175401i
\(372\) −2.26997e6 1.09316e6i −0.850478 0.409568i
\(373\) 393457. 681487.i 0.146428 0.253621i −0.783477 0.621421i \(-0.786556\pi\)
0.929905 + 0.367800i \(0.119889\pi\)
\(374\) 848378. + 1.46943e6i 0.313625 + 0.543214i
\(375\) −458389. 6.11678e6i −0.168328 2.24618i
\(376\) −5591.54 14247.0i −0.00203968 0.00519701i
\(377\) −75952.8 + 332771.i −0.0275227 + 0.120585i
\(378\) −2.37438e6 + 3.20536e6i −0.854712 + 1.15384i
\(379\) 414326. + 1.81528e6i 0.148165 + 0.649152i 0.993395 + 0.114749i \(0.0366063\pi\)
−0.845230 + 0.534403i \(0.820537\pi\)
\(380\) −3.65722e6 + 2.49345e6i −1.29925 + 0.885812i
\(381\) −3.48393e6 + 3.23261e6i −1.22958 + 1.14088i
\(382\) 2.61394e6 + 393988.i 0.916511 + 0.138142i
\(383\) −3.59093e6 3.33189e6i −1.25086 1.16063i −0.980211 0.197954i \(-0.936570\pi\)
−0.270652 0.962677i \(-0.587239\pi\)
\(384\) 210040. + 263382.i 0.0726898 + 0.0911501i
\(385\) 436675. + 3.93781e6i 0.150143 + 1.35395i
\(386\) 3.81305e6 4.78141e6i 1.30258 1.63338i
\(387\) −316999. + 47780.0i −0.107592 + 0.0162169i
\(388\) −3.61905e6 2.46743e6i −1.22044 0.832081i
\(389\) 540811. 1.37796e6i 0.181205 0.461704i −0.811192 0.584780i \(-0.801181\pi\)
0.992397 + 0.123076i \(0.0392760\pi\)
\(390\) 9.12470e6 + 2.81460e6i 3.03778 + 0.937032i
\(391\) −852903. −0.282136
\(392\) 143318. 113470.i 0.0471071 0.0372964i
\(393\) 516107. 0.168561
\(394\) 2.61118e6 + 805443.i 0.847416 + 0.261393i
\(395\) −333347. + 849355.i −0.107499 + 0.273903i
\(396\) −105792. 72127.8i −0.0339012 0.0231134i
\(397\) −861241. + 129811.i −0.274251 + 0.0413367i −0.284728 0.958608i \(-0.591903\pi\)
0.0104766 + 0.999945i \(0.496665\pi\)
\(398\) −236407. + 296445.i −0.0748088 + 0.0938073i
\(399\) −2.78313e6 318540.i −0.875188 0.100169i
\(400\) −4.73729e6 5.94038e6i −1.48040 1.85637i
\(401\) 1.85343e6 + 1.71973e6i 0.575592 + 0.534071i 0.913357 0.407159i \(-0.133481\pi\)
−0.337766 + 0.941230i \(0.609671\pi\)
\(402\) −853233. 128604.i −0.263331 0.0396908i
\(403\) 3.13630e6 2.91007e6i 0.961957 0.892565i
\(404\) −1.61067e6 + 1.09813e6i −0.490967 + 0.334735i
\(405\) 1.25026e6 + 5.47773e6i 0.378758 + 1.65945i
\(406\) −444531. + 15850.6i −0.133840 + 0.00477233i
\(407\) −307289. + 1.34632e6i −0.0919520 + 0.402868i
\(408\) −42729.3 108872.i −0.0127079 0.0323793i
\(409\) −315427. 4.20908e6i −0.0932375 1.24417i −0.825995 0.563678i \(-0.809386\pi\)
0.732757 0.680490i \(-0.238233\pi\)
\(410\) −2.44192e6 4.22952e6i −0.717416 1.24260i
\(411\) 112951. 195636.i 0.0329825 0.0571274i
\(412\) 1.80455e6 + 869024.i 0.523752 + 0.252225i
\(413\) 4.30105e6 3.16265e6i 1.24079 0.912382i
\(414\) 118578. 57104.2i 0.0340019 0.0163745i
\(415\) −564637. + 7.53456e6i −0.160935 + 2.14752i
\(416\) 6.08491e6 1.87695e6i 1.72393 0.531763i
\(417\) 2.32509e6 717195.i 0.654786 0.201975i
\(418\) 254793. 3.39997e6i 0.0713258 0.951776i
\(419\) −144265. + 69474.2i −0.0401444 + 0.0193325i −0.453848 0.891079i \(-0.649949\pi\)
0.413704 + 0.910412i \(0.364235\pi\)
\(420\) −238233. + 6.08078e6i −0.0658990 + 1.68204i
\(421\) −4.56095e6 2.19644e6i −1.25415 0.603968i −0.315531 0.948915i \(-0.602183\pi\)
−0.938622 + 0.344947i \(0.887897\pi\)
\(422\) −2.25972e6 + 3.91396e6i −0.617695 + 1.06988i
\(423\) −9745.88 16880.4i −0.00264832 0.00458702i
\(424\) 15828.9 + 211222.i 0.00427598 + 0.0570591i
\(425\) 1.84965e6 + 4.71282e6i 0.496726 + 1.26564i
\(426\) 1.21673e6 5.33082e6i 0.324839 1.42321i
\(427\) −1.25896e6 + 6.59033e6i −0.334151 + 1.74919i
\(428\) 402641. + 1.76408e6i 0.106245 + 0.465490i
\(429\) −2.97194e6 + 2.02623e6i −0.779644 + 0.531552i
\(430\) −1.35940e7 + 1.26134e7i −3.54550 + 3.28974i
\(431\) −6.79497e6 1.02418e6i −1.76195 0.265572i −0.813290 0.581859i \(-0.802326\pi\)
−0.948663 + 0.316287i \(0.897564\pi\)
\(432\) 3.03857e6 + 2.81939e6i 0.783358 + 0.726850i
\(433\) −265299. 332674.i −0.0680010 0.0852706i 0.746668 0.665197i \(-0.231653\pi\)
−0.814669 + 0.579927i \(0.803081\pi\)
\(434\) 4.71574e6 + 2.97467e6i 1.20178 + 0.758079i
\(435\) −414332. + 519556.i −0.104985 + 0.131647i
\(436\) 5.25208e6 791624.i 1.32317 0.199436i
\(437\) 1.41605e6 + 965444.i 0.354710 + 0.241837i
\(438\) −1.07868e6 + 2.74843e6i −0.268663 + 0.684542i
\(439\) 1.13293e6 + 349464.i 0.280571 + 0.0865448i 0.431847 0.901947i \(-0.357862\pi\)
−0.151276 + 0.988492i \(0.548338\pi\)
\(440\) 332390. 0.0818496
\(441\) 158947. 170101.i 0.0389185 0.0416495i
\(442\) −4.42564e6 −1.07751
\(443\) −1.54129e6 475424.i −0.373142 0.115099i 0.102512 0.994732i \(-0.467312\pi\)
−0.475653 + 0.879633i \(0.657788\pi\)
\(444\) −774923. + 1.97447e6i −0.186553 + 0.475328i
\(445\) 1.03947e7 + 7.08696e6i 2.48834 + 1.69652i
\(446\) −5.22253e6 + 787170.i −1.24321 + 0.187383i
\(447\) 1.76548e6 2.21385e6i 0.417922 0.524057i
\(448\) 2.05622e6 + 3.28526e6i 0.484033 + 0.773349i
\(449\) −1.19439e6 1.49772e6i −0.279595 0.350602i 0.622128 0.782916i \(-0.286269\pi\)
−0.901723 + 0.432314i \(0.857697\pi\)
\(450\) −572691. 531379.i −0.133318 0.123701i
\(451\) 1.81912e6 + 274189.i 0.421134 + 0.0634758i
\(452\) 1.41099e6 1.30920e6i 0.324845 0.301412i
\(453\) 720734. 491388.i 0.165017 0.112507i
\(454\) −680314. 2.98065e6i −0.154907 0.678690i
\(455\) −9.46441e6 4.14910e6i −2.14321 0.939562i
\(456\) −52296.2 + 229125.i −0.0117776 + 0.0516012i
\(457\) −2.99304e6 7.62615e6i −0.670382 1.70811i −0.705487 0.708723i \(-0.749272\pi\)
0.0351047 0.999384i \(-0.488824\pi\)
\(458\) 755735. + 1.00846e7i 0.168347 + 2.24644i
\(459\) −1.38100e6 2.39197e6i −0.305959 0.529936i
\(460\) 1.86155e6 3.22430e6i 0.410185 0.710462i
\(461\) −2.74639e6 1.32259e6i −0.601879 0.289850i 0.108025 0.994148i \(-0.465547\pi\)
−0.709904 + 0.704298i \(0.751262\pi\)
\(462\) −3.54759e6 3.06382e6i −0.773265 0.667819i
\(463\) −6.16854e6 + 2.97061e6i −1.33730 + 0.644011i −0.959456 0.281857i \(-0.909050\pi\)
−0.377846 + 0.925868i \(0.623335\pi\)
\(464\) −34541.9 + 460930.i −0.00744821 + 0.0993895i
\(465\) 7.95964e6 2.45522e6i 1.70711 0.526573i
\(466\) −2.35767e6 + 727246.i −0.502943 + 0.155137i
\(467\) 62244.8 830598.i 0.0132072 0.176238i −0.986699 0.162557i \(-0.948026\pi\)
0.999906 0.0136811i \(-0.00435497\pi\)
\(468\) 300894. 144903.i 0.0635037 0.0305818i
\(469\) 901560. + 243272.i 0.189262 + 0.0510693i
\(470\) −1.01587e6 489217.i −0.212126 0.102154i
\(471\) 2.34802e6 4.06689e6i 0.487697 0.844716i
\(472\) −223946. 387885.i −0.0462688 0.0801398i
\(473\) −522021. 6.96589e6i −0.107284 1.43161i
\(474\) −394391. 1.00489e6i −0.0806271 0.205435i
\(475\) 2.26378e6 9.91825e6i 0.460362 2.01698i
\(476\) −725188. 2.72560e6i −0.146701 0.551371i
\(477\) 60026.7 + 262994.i 0.0120795 + 0.0529237i
\(478\) −1.36921e6 + 933514.i −0.274095 + 0.186875i
\(479\) 5.10143e6 4.73344e6i 1.01591 0.942623i 0.0175446 0.999846i \(-0.494415\pi\)
0.998361 + 0.0572230i \(0.0182246\pi\)
\(480\) 1.22591e7 + 1.84776e6i 2.42860 + 0.366052i
\(481\) −2.64039e6 2.44992e6i −0.520362 0.482825i
\(482\) −1.63401e6 2.04898e6i −0.320358 0.401716i
\(483\) 2.22538e6 774305.i 0.434046 0.151023i
\(484\) −1.33570e6 + 1.67491e6i −0.259176 + 0.324996i
\(485\) 1.43196e7 2.15833e6i 2.76425 0.416643i
\(486\) 685306. + 467233.i 0.131611 + 0.0897311i
\(487\) 179332. 456931.i 0.0342639 0.0873029i −0.912718 0.408591i \(-0.866020\pi\)
0.946982 + 0.321288i \(0.104116\pi\)
\(488\) 537890. + 165917.i 0.102245 + 0.0315386i
\(489\) 3.77375e6 0.713675
\(490\) 2.05396e6 1.33094e7i 0.386458 2.50420i
\(491\) −3.53755e6 −0.662214 −0.331107 0.943593i \(-0.607422\pi\)
−0.331107 + 0.943593i \(0.607422\pi\)
\(492\) 2.70015e6 + 832886.i 0.502892 + 0.155122i
\(493\) 112522. 286703.i 0.0208508 0.0531269i
\(494\) 7.34774e6 + 5.00961e6i 1.35468 + 0.923605i
\(495\) 418590. 63092.3i 0.0767849 0.0115735i
\(496\) 3.61236e6 4.52976e6i 0.659306 0.826743i
\(497\) −1.96422e6 + 5.58191e6i −0.356696 + 1.01366i
\(498\) −5.57357e6 6.98904e6i −1.00707 1.26283i
\(499\) 7.27208e6 + 6.74751e6i 1.30740 + 1.21309i 0.961497 + 0.274816i \(0.0886169\pi\)
0.345900 + 0.938271i \(0.387574\pi\)
\(500\) −1.22712e7 1.84959e6i −2.19514 0.330864i
\(501\) −6.34110e6 + 5.88368e6i −1.12868 + 1.04726i
\(502\) −9.31343e6 + 6.34979e6i −1.64949 + 1.12461i
\(503\) −548724. 2.40412e6i −0.0967016 0.423677i 0.903284 0.429043i \(-0.141149\pi\)
−0.999986 + 0.00536570i \(0.998292\pi\)
\(504\) −12714.0 14826.6i −0.00222950 0.00259995i
\(505\) 1.43414e6 6.28336e6i 0.250243 1.09639i
\(506\) 1.04773e6 + 2.66957e6i 0.181917 + 0.463517i
\(507\) −281089. 3.75088e6i −0.0485651 0.648057i
\(508\) 4.80763e6 + 8.32706e6i 0.826555 + 1.43164i
\(509\) 686225. 1.18858e6i 0.117401 0.203345i −0.801336 0.598215i \(-0.795877\pi\)
0.918737 + 0.394870i \(0.129210\pi\)
\(510\) −7.76305e6 3.73849e6i −1.32162 0.636459i
\(511\) 1.49801e6 2.82234e6i 0.253782 0.478143i
\(512\) 7.43493e6 3.58048e6i 1.25344 0.603623i
\(513\) −414756. + 5.53453e6i −0.0695824 + 0.928512i
\(514\) −6.44094e6 + 1.98677e6i −1.07533 + 0.331695i
\(515\) −6.32764e6 + 1.95182e6i −1.05129 + 0.324281i
\(516\) 801811. 1.06994e7i 0.132571 1.76903i
\(517\) 382664. 184281.i 0.0629638 0.0303218i
\(518\) 2.20063e6 4.14613e6i 0.360348 0.678920i
\(519\) 1.16498e6 + 561025.i 0.189845 + 0.0914248i
\(520\) −433486. + 750820.i −0.0703018 + 0.121766i
\(521\) 3.54960e6 + 6.14809e6i 0.572908 + 0.992306i 0.996265 + 0.0863434i \(0.0275182\pi\)
−0.423357 + 0.905963i \(0.639148\pi\)
\(522\) 3551.66 + 47393.6i 0.000570500 + 0.00761279i
\(523\) 3.46136e6 + 8.81941e6i 0.553341 + 1.40989i 0.884600 + 0.466350i \(0.154431\pi\)
−0.331259 + 0.943540i \(0.607473\pi\)
\(524\) 232347. 1.01798e6i 0.0369665 0.161961i
\(525\) −9.10458e6 1.06174e7i −1.44166 1.68120i
\(526\) 1.37377e6 + 6.01886e6i 0.216495 + 0.948527i
\(527\) −3.18975e6 + 2.17474e6i −0.500300 + 0.341099i
\(528\) −3.57065e6 + 3.31308e6i −0.557394 + 0.517186i
\(529\) 4.93900e6 + 744434.i 0.767361 + 0.115661i
\(530\) 1.14389e7 + 1.06138e7i 1.76887 + 1.64127i
\(531\) −355648. 445969.i −0.0547374 0.0686386i
\(532\) −1.88124e6 + 5.34609e6i −0.288180 + 0.818950i
\(533\) −2.99176e6 + 3.75154e6i −0.456151 + 0.571995i
\(534\) −1.47183e7 + 2.21842e6i −2.23359 + 0.336660i
\(535\) −4.94279e6 3.36994e6i −0.746599 0.509023i
\(536\) 28621.6 72926.7i 0.00430311 0.0109641i
\(537\) 2.16626e6 + 668203.i 0.324172 + 0.0999937i
\(538\) −1.33727e7 −1.99188
\(539\) 3.43730e6 + 3.73075e6i 0.509619 + 0.553126i
\(540\) 1.20567e7 1.77928
\(541\) 1.06072e7 + 3.27190e6i 1.55815 + 0.480625i 0.949751 0.313008i \(-0.101337\pi\)
0.608397 + 0.793633i \(0.291813\pi\)
\(542\) 5.05135e6 1.28706e7i 0.738600 1.88192i
\(543\) −4.70188e6 3.20569e6i −0.684341 0.466576i
\(544\) −5.68172e6 + 856382.i −0.823157 + 0.124071i
\(545\) −1.09486e7 + 1.37291e7i −1.57895 + 1.97994i
\(546\) 1.15473e7 4.01780e6i 1.65767 0.576776i
\(547\) −5.49140e6 6.88600e6i −0.784720 0.984008i −0.999972 0.00744973i \(-0.997629\pi\)
0.215252 0.976559i \(-0.430943\pi\)
\(548\) −335027. 310859.i −0.0476571 0.0442194i
\(549\) 708876. + 106846.i 0.100378 + 0.0151296i
\(550\) 1.24789e7 1.15787e7i 1.75902 1.63213i
\(551\) −511351. + 348633.i −0.0717529 + 0.0489203i
\(552\) −43987.5 192722.i −0.00614443 0.0269205i
\(553\) 300383. + 1.12898e6i 0.0417699 + 0.156991i
\(554\) −3.72150e6 + 1.63049e7i −0.515161 + 2.25707i
\(555\) −2.56199e6 6.52785e6i −0.353058 0.899576i
\(556\) −367873. 4.90892e6i −0.0504674 0.673441i
\(557\) −6.55653e6 1.13562e7i −0.895439 1.55095i −0.833260 0.552881i \(-0.813528\pi\)
−0.0621790 0.998065i \(-0.519805\pi\)
\(558\) 297863. 515914.i 0.0404978 0.0701442i
\(559\) 1.64157e7 + 7.90538e6i 2.22193 + 1.07002i
\(560\) −1.35108e7 3.64569e6i −1.82059 0.491258i
\(561\) 2.92423e6 1.40823e6i 0.392287 0.188916i
\(562\) 293442. 3.91571e6i 0.0391905 0.522961i
\(563\) 859759. 265201.i 0.114316 0.0352617i −0.237070 0.971493i \(-0.576187\pi\)
0.351385 + 0.936231i \(0.385711\pi\)
\(564\) 623383. 192288.i 0.0825196 0.0254539i
\(565\) −475557. + 6.34587e6i −0.0626732 + 0.836315i
\(566\) 7.72144e6 3.71845e6i 1.01311 0.487889i
\(567\) 5.44457e6 + 4.70212e6i 0.711223 + 0.614237i
\(568\) 447283. + 215400.i 0.0581716 + 0.0280140i
\(569\) −3.36288e6 + 5.82468e6i −0.435442 + 0.754208i −0.997332 0.0730043i \(-0.976741\pi\)
0.561889 + 0.827212i \(0.310075\pi\)
\(570\) 8.65695e6 + 1.49943e7i 1.11603 + 1.93303i
\(571\) 95488.2 + 1.27420e6i 0.0122563 + 0.163549i 0.999973 + 0.00729610i \(0.00232244\pi\)
−0.987717 + 0.156253i \(0.950059\pi\)
\(572\) 2.65864e6 + 6.77409e6i 0.339757 + 0.865687i
\(573\) 1.12519e6 4.92979e6i 0.143166 0.627252i
\(574\) −5.72704e6 2.51067e6i −0.725521 0.318061i
\(575\) 1.90411e6 + 8.34247e6i 0.240173 + 1.05226i
\(576\) 342147. 233272.i 0.0429692 0.0292959i
\(577\) 3.53943e6 3.28411e6i 0.442582 0.410656i −0.427150 0.904181i \(-0.640482\pi\)
0.869732 + 0.493525i \(0.164292\pi\)
\(578\) −7.16192e6 1.07949e6i −0.891682 0.134399i
\(579\) −8.57552e6 7.95692e6i −1.06307 0.986389i
\(580\) 838253. + 1.05114e6i 0.103468 + 0.129745i
\(581\) 5.13258e6 + 8.20041e6i 0.630805 + 1.00785i
\(582\) −1.06824e7 + 1.33953e7i −1.30726 + 1.63925i
\(583\) −5.81235e6 + 876071.i −0.708240 + 0.106750i
\(584\) −221488. 151008.i −0.0268731 0.0183218i
\(585\) −403387. + 1.02781e6i −0.0487340 + 0.124172i
\(586\) 8.30226e6 + 2.56091e6i 0.998739 + 0.308070i
\(587\) 5.23496e6 0.627073 0.313537 0.949576i \(-0.398486\pi\)
0.313537 + 0.949576i \(0.398486\pi\)
\(588\) 4.36657e6 + 6.45321e6i 0.520831 + 0.769720i
\(589\) 7.75753e6 0.921373
\(590\) −3.15306e7 9.72590e6i −3.72908 1.15027i
\(591\) 1.90965e6 4.86571e6i 0.224898 0.573031i
\(592\) −4.03011e6 2.74768e6i −0.472621 0.322227i
\(593\) −2.71520e6 + 409250.i −0.317077 + 0.0477916i −0.305653 0.952143i \(-0.598875\pi\)
−0.0114242 + 0.999935i \(0.503637\pi\)
\(594\) −5.79036e6 + 7.26088e6i −0.673348 + 0.844351i
\(595\) 7.88669e6 + 4.97489e6i 0.913276 + 0.576092i
\(596\) −3.57183e6 4.47893e6i −0.411884 0.516486i
\(597\) 531677. + 493324.i 0.0610537 + 0.0566496i
\(598\) −7.39656e6 1.11485e6i −0.845818 0.127487i
\(599\) −8.65020e6 + 8.02621e6i −0.985051 + 0.913994i −0.996300 0.0859426i \(-0.972610\pi\)
0.0112487 + 0.999937i \(0.496419\pi\)
\(600\) −969516. + 661005.i −0.109945 + 0.0749595i
\(601\) −1.51015e6 6.61640e6i −0.170543 0.747198i −0.985776 0.168065i \(-0.946248\pi\)
0.815233 0.579133i \(-0.196609\pi\)
\(602\) −4.45530e6 + 2.33223e7i −0.501055 + 2.62289i
\(603\) 22201.7 97271.8i 0.00248652 0.0108942i
\(604\) −644754. 1.64281e6i −0.0719121 0.183229i
\(605\) −529289. 7.06288e6i −0.0587902 0.784500i
\(606\) 3.81258e6 + 6.60359e6i 0.421733 + 0.730463i
\(607\) 7.34494e6 1.27218e7i 0.809126 1.40145i −0.104343 0.994541i \(-0.533274\pi\)
0.913470 0.406907i \(-0.133393\pi\)
\(608\) 1.04026e7 + 5.00961e6i 1.14125 + 0.549598i
\(609\) −33309.6 + 850212.i −0.00363937 + 0.0928932i
\(610\) 3.73624e7 1.79928e7i 4.06547 1.95783i
\(611\) −82786.5 + 1.10471e6i −0.00897133 + 0.119714i
\(612\) −287962. + 88824.6i −0.0310783 + 0.00958639i
\(613\) 3.09542e6 954809.i 0.332712 0.102628i −0.123898 0.992295i \(-0.539540\pi\)
0.456610 + 0.889667i \(0.349064\pi\)
\(614\) 300690. 4.01243e6i 0.0321883 0.429523i
\(615\) −8.41692e6 + 4.05337e6i −0.897357 + 0.432144i
\(616\) 342871. 252120.i 0.0364065 0.0267705i
\(617\) −1.37347e7 6.61430e6i −1.45247 0.699473i −0.469448 0.882960i \(-0.655547\pi\)
−0.983022 + 0.183487i \(0.941261\pi\)
\(618\) 3.91722e6 6.78483e6i 0.412579 0.714607i
\(619\) −381535. 660839.i −0.0400229 0.0693217i 0.845320 0.534260i \(-0.179410\pi\)
−0.885343 + 0.464939i \(0.846076\pi\)
\(620\) −1.25937e6 1.68051e7i −0.131575 1.75574i
\(621\) −1.70551e6 4.34557e6i −0.177470 0.452187i
\(622\) 1.39983e6 6.13306e6i 0.145077 0.635625i
\(623\) 1.60979e7 574002.i 1.66169 0.0592507i
\(624\) −2.82709e6 1.23863e7i −0.290655 1.27344i
\(625\) 1.54974e7 1.05659e7i 1.58693 1.08195i
\(626\) 1.03992e7 9.64907e6i 1.06063 0.984124i
\(627\) −6.44905e6 972038.i −0.655129 0.0987449i
\(628\) −6.96456e6 6.46216e6i −0.704684 0.653851i
\(629\) 2.02643e6 + 2.54106e6i 0.204223 + 0.256087i
\(630\) −1.42956e6 163618.i −0.143500 0.0164241i
\(631\) −5.45411e6 + 6.83924e6i −0.545319 + 0.683809i −0.975768 0.218806i \(-0.929784\pi\)
0.430449 + 0.902615i \(0.358355\pi\)
\(632\) 96917.2 14607.9i 0.00965180 0.00145477i
\(633\) 7.14288e6 + 4.86993e6i 0.708539 + 0.483074i
\(634\) −7.14253e6 + 1.81989e7i −0.705714 + 1.79813i
\(635\) −3.03770e7 9.37005e6i −2.98958 0.922163i
\(636\) −9.02846e6 −0.885056
\(637\) −1.29100e7 + 2.89889e6i −1.26060 + 0.283063i
\(638\) −1.03560e6 −0.100726
\(639\) 604163. + 186360.i 0.0585332 + 0.0180551i
\(640\) −823221. + 2.09753e6i −0.0794450 + 0.202423i
\(641\) −2.80748e6 1.91411e6i −0.269881 0.184002i 0.420816 0.907146i \(-0.361744\pi\)
−0.690697 + 0.723144i \(0.742696\pi\)
\(642\) 6.99872e6 1.05489e6i 0.670164 0.101011i
\(643\) −6.60495e6 + 8.28235e6i −0.630003 + 0.789998i −0.989713 0.143066i \(-0.954304\pi\)
0.359711 + 0.933064i \(0.382875\pi\)
\(644\) −525406. 4.73796e6i −0.0499207 0.450170i
\(645\) 2.21169e7 + 2.77338e7i 2.09327 + 2.62488i
\(646\) −5.88235e6 5.45803e6i −0.554587 0.514582i
\(647\) −4.49313e6 677230.i −0.421976 0.0636027i −0.0653781 0.997861i \(-0.520825\pi\)
−0.356598 + 0.934258i \(0.616063\pi\)
\(648\) 442429. 410514.i 0.0413910 0.0384052i
\(649\) 1.02696e7 7.00169e6i 0.957065 0.652516i
\(650\) 9.88028e6 + 4.32884e7i 0.917246 + 4.01872i
\(651\) 6.34831e6 8.57008e6i 0.587092 0.792561i
\(652\) 1.69891e6 7.44341e6i 0.156513 0.685730i
\(653\) −2.86123e6 7.29029e6i −0.262585 0.669055i 0.737395 0.675462i \(-0.236056\pi\)
−0.999979 + 0.00640716i \(0.997961\pi\)
\(654\) −1.55258e6 2.07178e7i −0.141942 1.89408i
\(655\) 1.72606e6 + 2.98962e6i 0.157200 + 0.272278i
\(656\) −3.24897e6 + 5.62738e6i −0.294772 + 0.510559i
\(657\) −307591. 148128.i −0.0278010 0.0133882i
\(658\) −1.41898e6 + 265901.i −0.127764 + 0.0239418i
\(659\) −2.53571e6 + 1.22113e6i −0.227450 + 0.109534i −0.544138 0.838996i \(-0.683143\pi\)
0.316689 + 0.948530i \(0.397429\pi\)
\(660\) −1.05877e6 + 1.41283e7i −0.0946112 + 1.26250i
\(661\) −6.36448e6 + 1.96318e6i −0.566577 + 0.174766i −0.564793 0.825232i \(-0.691044\pi\)
−0.00178411 + 0.999998i \(0.500568\pi\)
\(662\) −1.43132e7 + 4.41503e6i −1.26938 + 0.391551i
\(663\) −632636. + 8.44194e6i −0.0558947 + 0.745862i
\(664\) 731247. 352150.i 0.0643642 0.0309962i
\(665\) −7.46267e6 1.71870e7i −0.654395 1.50711i
\(666\) −451862. 217605.i −0.0394749 0.0190101i
\(667\) 260281. 450820.i 0.0226531 0.0392364i
\(668\) 8.75036e6 + 1.51561e7i 0.758726 + 1.31415i
\(669\) 754982. + 1.00745e7i 0.0652186 + 0.870282i
\(670\) −2.10858e6 5.37257e6i −0.181469 0.462376i
\(671\) −3.47597e6 + 1.52292e7i −0.298036 + 1.30578i
\(672\) 1.40472e7 7.39259e6i 1.19996 0.631500i
\(673\) −2.52182e6 1.10488e7i −0.214623 0.940323i −0.961379 0.275226i \(-0.911247\pi\)
0.746757 0.665097i \(-0.231610\pi\)
\(674\) 1.88156e7 1.28283e7i 1.59540 1.08772i
\(675\) −2.03134e7 + 1.88480e7i −1.71602 + 1.59223i
\(676\) −7.52484e6 1.13419e6i −0.633331 0.0954593i
\(677\) 7.95375e6 + 7.38000e6i 0.666961 + 0.618849i 0.939196 0.343381i \(-0.111572\pi\)
−0.272235 + 0.962231i \(0.587763\pi\)
\(678\) −4.69425e6 5.88641e6i −0.392186 0.491786i
\(679\) 1.31340e7 1.30879e7i 1.09326 1.08942i
\(680\) 487756. 611626.i 0.0404511 0.0507240i
\(681\) −5.78286e6 + 871626.i −0.477832 + 0.0720216i
\(682\) 1.07253e7 + 7.31237e6i 0.882973 + 0.602001i
\(683\) 5.09807e6 1.29897e7i 0.418171 1.06548i −0.554270 0.832337i \(-0.687003\pi\)
0.972442 0.233146i \(-0.0749022\pi\)
\(684\) 578639. + 178487.i 0.0472898 + 0.0145870i
\(685\) 1.51100e6 0.123038
\(686\) −7.97657e6 1.52870e7i −0.647151 1.24026i
\(687\) 1.93445e7 1.56374
\(688\) 2.35772e7 + 7.27259e6i 1.89898 + 0.585758i
\(689\) 5.60125e6 1.42718e7i 0.449508 1.14533i
\(690\) −1.20326e7 8.20369e6i −0.962137 0.655974i
\(691\) 4.69518e6 707684.i 0.374073 0.0563825i 0.0406848 0.999172i \(-0.487046\pi\)
0.333388 + 0.942790i \(0.391808\pi\)
\(692\) 1.63104e6 2.04526e6i 0.129479 0.162362i
\(693\) 383932. 382585.i 0.0303684 0.0302618i
\(694\) 2.44029e6 + 3.06003e6i 0.192328 + 0.241172i
\(695\) 1.19304e7 + 1.10698e7i 0.936903 + 0.869319i
\(696\) 70586.5 + 10639.2i 0.00552330 + 0.000832504i
\(697\) 3.17395e6 2.94499e6i 0.247467 0.229616i
\(698\) 1.54582e7 1.05393e7i 1.20094 0.818788i
\(699\) 1.05020e6 + 4.60124e6i 0.0812981 + 0.356190i
\(700\) −2.50408e7 + 1.31782e7i −1.93154 + 1.01651i
\(701\) −2.57906e6 + 1.12996e7i −0.198229 + 0.868496i 0.773762 + 0.633476i \(0.218373\pi\)
−0.971991 + 0.235020i \(0.924485\pi\)
\(702\) −8.84976e6 2.25488e7i −0.677780 1.72695i
\(703\) −488055. 6.51264e6i −0.0372461 0.497014i
\(704\) 4.51163e6 + 7.81438e6i 0.343085 + 0.594241i
\(705\) −1.07840e6 + 1.86785e6i −0.0817161 + 0.141536i
\(706\) 3.97205e6 + 1.91284e6i 0.299918 + 0.144433i
\(707\) −3.28661e6 7.56928e6i −0.247286 0.569516i
\(708\) 1.72005e7 8.28332e6i 1.28961 0.621043i
\(709\) −156740. + 2.09155e6i −0.0117102 + 0.156261i 0.988283 + 0.152631i \(0.0487746\pi\)
−0.999993 + 0.00363032i \(0.998844\pi\)
\(710\) 3.49487e7 1.07803e7i 2.60187 0.802570i
\(711\) 119278. 36792.5i 0.00884886 0.00272951i
\(712\) 100991. 1.34763e6i 0.00746588 0.0996252i
\(713\) −5.87886e6 + 2.83111e6i −0.433081 + 0.208561i
\(714\) −1.08435e7 + 2.03196e6i −0.796019 + 0.149166i
\(715\) −2.16765e7 1.04389e7i −1.58571 0.763639i
\(716\) 2.29321e6 3.97195e6i 0.167171 0.289549i
\(717\) 1.58496e6 + 2.74523e6i 0.115138 + 0.199426i
\(718\) 137378. + 1.83318e6i 0.00994500 + 0.132707i
\(719\) −8.31042e6 2.11746e7i −0.599516 1.52754i −0.831904 0.554919i \(-0.812749\pi\)
0.232388 0.972623i \(-0.425346\pi\)
\(720\) −332715. + 1.45772e6i −0.0239189 + 0.104796i
\(721\) −5.04669e6 + 6.81292e6i −0.361550 + 0.488085i
\(722\) −772227. 3.38335e6i −0.0551318 0.241548i
\(723\) −4.14202e6 + 2.82398e6i −0.294691 + 0.200917i
\(724\) −8.43971e6 + 7.83091e6i −0.598386 + 0.555221i
\(725\) −3.05552e6 460546.i −0.215894 0.0325408i
\(726\) 6.14274e6 + 5.69963e6i 0.432535 + 0.401334i
\(727\) −7.01188e6 8.79262e6i −0.492038 0.616996i 0.472375 0.881398i \(-0.343397\pi\)
−0.964413 + 0.264402i \(0.914825\pi\)
\(728\) 122348. + 1.10330e6i 0.00855593 + 0.0771549i
\(729\) 9.39657e6 1.17829e7i 0.654863 0.821172i
\(730\) −1.95282e7 + 2.94340e6i −1.35630 + 0.204429i
\(731\) −1.35839e7 9.26131e6i −0.940220 0.641031i
\(732\) −8.76570e6 + 2.23346e7i −0.604657 + 1.54064i
\(733\) −1.25123e7 3.85953e6i −0.860155 0.265323i −0.166864 0.985980i \(-0.553364\pi\)
−0.693292 + 0.720657i \(0.743840\pi\)
\(734\) −9.65986e6 −0.661806
\(735\) −2.50942e7 5.82050e6i −1.71339 0.397413i
\(736\) −9.71158e6 −0.660838
\(737\) 2.07747e6 + 640814.i 0.140885 + 0.0434574i
\(738\) −244095. + 621943.i −0.0164975 + 0.0420349i
\(739\) −1.64063e7 1.11857e7i −1.10510 0.753443i −0.133729 0.991018i \(-0.542695\pi\)
−0.971369 + 0.237575i \(0.923647\pi\)
\(740\) −1.40290e7 + 2.11454e6i −0.941779 + 0.141950i
\(741\) 1.06062e7 1.32998e7i 0.709602 0.889812i
\(742\) 1.98502e7 + 2.27193e6i 1.32360 + 0.151491i
\(743\) −3.60778e6 4.52402e6i −0.239756 0.300644i 0.647367 0.762179i \(-0.275870\pi\)
−0.887122 + 0.461535i \(0.847299\pi\)
\(744\) −655911. 608597.i −0.0434423 0.0403086i
\(745\) 1.87285e7 + 2.82286e6i 1.23627 + 0.186337i
\(746\) −4.56497e6 + 4.23567e6i −0.300324 + 0.278660i
\(747\) 854041. 582275.i 0.0559986 0.0381792i
\(748\) −1.46116e6 6.40178e6i −0.0954872 0.418357i
\(749\) −7.65476e6 + 272945.i −0.498571 + 0.0177775i
\(750\) −1.08015e7 + 4.73246e7i −0.701185 + 3.07209i
\(751\) 3.37435e6 + 8.59770e6i 0.218318 + 0.556266i 0.997510 0.0705192i \(-0.0224656\pi\)
−0.779192 + 0.626785i \(0.784370\pi\)
\(752\) 112108. + 1.49598e6i 0.00722925 + 0.0964677i
\(753\) 1.07809e7 + 1.86731e7i 0.692898 + 1.20013i
\(754\) 1.35058e6 2.33927e6i 0.0865149 0.149848i
\(755\) 5.25684e6 + 2.53156e6i 0.335628 + 0.161630i
\(756\) 1.24369e7 9.14512e6i 0.791421 0.581949i
\(757\) 5.45194e6 2.62552e6i 0.345789 0.166523i −0.252925 0.967486i \(-0.581393\pi\)
0.598715 + 0.800962i \(0.295678\pi\)
\(758\) 1.10114e6 1.46937e7i 0.0696098 0.928878i
\(759\) 5.24200e6 1.61694e6i 0.330288 0.101880i
\(760\) −1.50213e6 + 463347.i −0.0943355 + 0.0290986i