Properties

Label 38.4.e.a.25.2
Level $38$
Weight $4$
Character 38.25
Analytic conductor $2.242$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.24207258022\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + 5157591 x^{4} - 11890401 x^{3} - 56759508 x^{2} + 62864118 x + 272110107\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 25.2
Root \(6.28151 + 0.642788i\) of defining polynomial
Character \(\chi\) \(=\) 38.25
Dual form 38.4.e.a.35.2

$q$-expansion

\(f(q)\) \(=\) \(q+(1.53209 - 1.28558i) q^{2} +(4.68284 + 1.70441i) q^{3} +(0.694593 - 3.93923i) q^{4} +(0.408053 + 2.31419i) q^{5} +(9.36568 - 3.40883i) q^{6} +(-1.42158 + 2.46225i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-1.65925 - 1.39227i) q^{9} +O(q^{10})\) \(q+(1.53209 - 1.28558i) q^{2} +(4.68284 + 1.70441i) q^{3} +(0.694593 - 3.93923i) q^{4} +(0.408053 + 2.31419i) q^{5} +(9.36568 - 3.40883i) q^{6} +(-1.42158 + 2.46225i) q^{7} +(-4.00000 - 6.92820i) q^{8} +(-1.65925 - 1.39227i) q^{9} +(3.60023 + 3.02095i) q^{10} +(-1.90096 - 3.29257i) q^{11} +(9.96675 - 17.2629i) q^{12} +(-15.4040 + 5.60661i) q^{13} +(0.987418 + 5.59993i) q^{14} +(-2.03348 + 11.5325i) q^{15} +(-15.0351 - 5.47232i) q^{16} +(-57.2974 + 48.0782i) q^{17} -4.33198 q^{18} +(-41.0556 + 71.9266i) q^{19} +9.39954 q^{20} +(-10.8537 + 9.10735i) q^{21} +(-7.14529 - 2.60067i) q^{22} +(6.08655 - 34.5185i) q^{23} +(-6.92283 - 39.2613i) q^{24} +(112.273 - 40.8639i) q^{25} +(-16.3926 + 28.3928i) q^{26} +(-72.6725 - 125.872i) q^{27} +(8.71194 + 7.31019i) q^{28} +(59.8802 + 50.2455i) q^{29} +(11.7104 + 20.2829i) q^{30} +(114.867 - 198.955i) q^{31} +(-30.0702 + 10.9446i) q^{32} +(-3.29001 - 18.6586i) q^{33} +(-25.9765 + 147.320i) q^{34} +(-6.27818 - 2.28507i) q^{35} +(-6.63699 + 5.56909i) q^{36} +401.456 q^{37} +(29.5662 + 162.978i) q^{38} -81.6905 q^{39} +(14.4009 - 12.0838i) q^{40} +(60.9251 + 22.1749i) q^{41} +(-4.92067 + 27.9065i) q^{42} +(-13.5220 - 76.6872i) q^{43} +(-14.2906 + 5.20135i) q^{44} +(2.54492 - 4.40793i) q^{45} +(-35.0510 - 60.7102i) q^{46} +(-356.545 - 299.176i) q^{47} +(-61.0798 - 51.2520i) q^{48} +(167.458 + 290.046i) q^{49} +(119.478 - 206.942i) q^{50} +(-350.260 + 127.484i) q^{51} +(11.3862 + 64.5743i) q^{52} +(-12.3203 + 69.8721i) q^{53} +(-273.159 - 99.4219i) q^{54} +(6.84392 - 5.74273i) q^{55} +22.7453 q^{56} +(-314.850 + 266.845i) q^{57} +156.336 q^{58} +(-508.257 + 426.478i) q^{59} +(44.0165 + 16.0207i) q^{60} +(-27.4270 + 155.546i) q^{61} +(-79.7855 - 452.486i) q^{62} +(5.78687 - 2.10625i) q^{63} +(-32.0000 + 55.4256i) q^{64} +(-19.2604 - 33.3600i) q^{65} +(-29.0276 - 24.3571i) q^{66} +(68.6778 + 57.6275i) q^{67} +(149.593 + 259.103i) q^{68} +(87.3362 - 151.271i) q^{69} +(-12.5564 + 4.57014i) q^{70} +(-109.611 - 621.638i) q^{71} +(-3.00897 + 17.0647i) q^{72} +(713.200 + 259.583i) q^{73} +(615.066 - 516.102i) q^{74} +595.404 q^{75} +(254.819 + 211.687i) q^{76} +10.8095 q^{77} +(-125.157 + 105.019i) q^{78} +(774.641 + 281.946i) q^{79} +(6.52885 - 37.0270i) q^{80} +(-115.620 - 655.711i) q^{81} +(121.850 - 44.3498i) q^{82} +(66.3727 - 114.961i) q^{83} +(28.3370 + 49.0812i) q^{84} +(-134.642 - 112.978i) q^{85} +(-119.304 - 100.108i) q^{86} +(194.770 + 337.352i) q^{87} +(-15.2077 + 26.3405i) q^{88} +(-1326.11 + 482.664i) q^{89} +(-1.76768 - 10.0250i) q^{90} +(8.09319 - 45.8987i) q^{91} +(-131.749 - 47.9527i) q^{92} +(877.003 - 735.892i) q^{93} -930.872 q^{94} +(-183.204 - 65.6605i) q^{95} -159.468 q^{96} +(-1011.58 + 848.815i) q^{97} +(629.437 + 229.096i) q^{98} +(-1.42998 + 8.10984i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} + O(q^{10}) \) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} - 9q^{11} + 36q^{12} + 39q^{13} - 138q^{14} + 423q^{15} + 69q^{17} + 132q^{18} - 462q^{19} - 216q^{20} - 279q^{21} + 204q^{22} - 66q^{23} - 72q^{24} + 342q^{25} + 48q^{26} + 189q^{27} + 192q^{28} + 159q^{29} + 72q^{31} - 1560q^{33} + 408q^{34} - 135q^{35} - 108q^{36} + 1116q^{37} - 294q^{38} - 1248q^{39} + 147q^{41} + 414q^{42} - 117q^{43} + 408q^{44} + 1296q^{45} + 528q^{46} + 783q^{47} + 288q^{48} + 1413q^{49} - 354q^{50} - 2301q^{51} - 348q^{52} - 249q^{53} - 540q^{54} + 2187q^{55} - 336q^{56} - 2670q^{57} - 1932q^{58} - 4248q^{59} + 324q^{60} + 3114q^{61} - 438q^{62} + 363q^{63} - 384q^{64} + 495q^{65} + 822q^{66} + 3060q^{67} + 408q^{68} - 237q^{69} - 270q^{70} + 1686q^{71} + 432q^{72} + 1626q^{73} + 90q^{74} - 1854q^{75} - 1416q^{77} - 108q^{78} - 327q^{79} + 3483q^{81} + 294q^{82} + 927q^{83} + 204q^{84} - 3294q^{85} + 1188q^{86} + 2892q^{87} - 72q^{88} - 6366q^{89} - 5076q^{90} + 840q^{91} - 156q^{92} + 870q^{93} + 3432q^{94} + 513q^{95} - 576q^{96} - 8052q^{97} + 378q^{98} + 4494q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.53209 1.28558i 0.541675 0.454519i
\(3\) 4.68284 + 1.70441i 0.901213 + 0.328015i 0.750739 0.660599i \(-0.229698\pi\)
0.150474 + 0.988614i \(0.451920\pi\)
\(4\) 0.694593 3.93923i 0.0868241 0.492404i
\(5\) 0.408053 + 2.31419i 0.0364974 + 0.206987i 0.997603 0.0691931i \(-0.0220425\pi\)
−0.961106 + 0.276180i \(0.910931\pi\)
\(6\) 9.36568 3.40883i 0.637254 0.231941i
\(7\) −1.42158 + 2.46225i −0.0767581 + 0.132949i −0.901849 0.432050i \(-0.857790\pi\)
0.825091 + 0.564999i \(0.191124\pi\)
\(8\) −4.00000 6.92820i −0.176777 0.306186i
\(9\) −1.65925 1.39227i −0.0614536 0.0515657i
\(10\) 3.60023 + 3.02095i 0.113849 + 0.0955310i
\(11\) −1.90096 3.29257i −0.0521057 0.0902497i 0.838796 0.544446i \(-0.183260\pi\)
−0.890902 + 0.454196i \(0.849927\pi\)
\(12\) 9.96675 17.2629i 0.239763 0.415281i
\(13\) −15.4040 + 5.60661i −0.328639 + 0.119615i −0.501070 0.865407i \(-0.667060\pi\)
0.172431 + 0.985022i \(0.444838\pi\)
\(14\) 0.987418 + 5.59993i 0.0188499 + 0.106903i
\(15\) −2.03348 + 11.5325i −0.0350029 + 0.198511i
\(16\) −15.0351 5.47232i −0.234923 0.0855050i
\(17\) −57.2974 + 48.0782i −0.817451 + 0.685923i −0.952374 0.304933i \(-0.901366\pi\)
0.134923 + 0.990856i \(0.456921\pi\)
\(18\) −4.33198 −0.0567255
\(19\) −41.0556 + 71.9266i −0.495727 + 0.868479i
\(20\) 9.39954 0.105090
\(21\) −10.8537 + 9.10735i −0.112785 + 0.0946374i
\(22\) −7.14529 2.60067i −0.0692446 0.0252030i
\(23\) 6.08655 34.5185i 0.0551797 0.312940i −0.944708 0.327912i \(-0.893655\pi\)
0.999888 + 0.0149725i \(0.00476607\pi\)
\(24\) −6.92283 39.2613i −0.0588799 0.333924i
\(25\) 112.273 40.8639i 0.898181 0.326911i
\(26\) −16.3926 + 28.3928i −0.123648 + 0.214165i
\(27\) −72.6725 125.872i −0.517994 0.897191i
\(28\) 8.71194 + 7.31019i 0.0588001 + 0.0493391i
\(29\) 59.8802 + 50.2455i 0.383430 + 0.321736i 0.814047 0.580799i \(-0.197260\pi\)
−0.430617 + 0.902535i \(0.641704\pi\)
\(30\) 11.7104 + 20.2829i 0.0712670 + 0.123438i
\(31\) 114.867 198.955i 0.665504 1.15269i −0.313644 0.949541i \(-0.601550\pi\)
0.979148 0.203147i \(-0.0651169\pi\)
\(32\) −30.0702 + 10.9446i −0.166116 + 0.0604612i
\(33\) −3.29001 18.6586i −0.0173551 0.0984256i
\(34\) −25.9765 + 147.320i −0.131028 + 0.743095i
\(35\) −6.27818 2.28507i −0.0303202 0.0110356i
\(36\) −6.63699 + 5.56909i −0.0307268 + 0.0257828i
\(37\) 401.456 1.78376 0.891878 0.452276i \(-0.149388\pi\)
0.891878 + 0.452276i \(0.149388\pi\)
\(38\) 29.5662 + 162.978i 0.126217 + 0.695751i
\(39\) −81.6905 −0.335409
\(40\) 14.4009 12.0838i 0.0569247 0.0477655i
\(41\) 60.9251 + 22.1749i 0.232071 + 0.0844668i 0.455438 0.890268i \(-0.349483\pi\)
−0.223367 + 0.974734i \(0.571705\pi\)
\(42\) −4.92067 + 27.9065i −0.0180780 + 0.102526i
\(43\) −13.5220 76.6872i −0.0479555 0.271969i 0.951396 0.307969i \(-0.0996495\pi\)
−0.999352 + 0.0360001i \(0.988538\pi\)
\(44\) −14.2906 + 5.20135i −0.0489633 + 0.0178212i
\(45\) 2.54492 4.40793i 0.00843053 0.0146021i
\(46\) −35.0510 60.7102i −0.112348 0.194592i
\(47\) −356.545 299.176i −1.10654 0.928497i −0.108693 0.994075i \(-0.534666\pi\)
−0.997847 + 0.0655782i \(0.979111\pi\)
\(48\) −61.0798 51.2520i −0.183669 0.154116i
\(49\) 167.458 + 290.046i 0.488216 + 0.845616i
\(50\) 119.478 206.942i 0.337935 0.585320i
\(51\) −350.260 + 127.484i −0.961690 + 0.350026i
\(52\) 11.3862 + 64.5743i 0.0303650 + 0.172209i
\(53\) −12.3203 + 69.8721i −0.0319307 + 0.181088i −0.996602 0.0823686i \(-0.973752\pi\)
0.964671 + 0.263457i \(0.0848626\pi\)
\(54\) −273.159 99.4219i −0.688375 0.250548i
\(55\) 6.84392 5.74273i 0.0167788 0.0140791i
\(56\) 22.7453 0.0542761
\(57\) −314.850 + 266.845i −0.731629 + 0.620078i
\(58\) 156.336 0.353930
\(59\) −508.257 + 426.478i −1.12152 + 0.941064i −0.998680 0.0513634i \(-0.983643\pi\)
−0.122836 + 0.992427i \(0.539199\pi\)
\(60\) 44.0165 + 16.0207i 0.0947085 + 0.0344711i
\(61\) −27.4270 + 155.546i −0.0575683 + 0.326486i −0.999968 0.00800277i \(-0.997453\pi\)
0.942400 + 0.334489i \(0.108564\pi\)
\(62\) −79.7855 452.486i −0.163432 0.926867i
\(63\) 5.78687 2.10625i 0.0115727 0.00421210i
\(64\) −32.0000 + 55.4256i −0.0625000 + 0.108253i
\(65\) −19.2604 33.3600i −0.0367532 0.0636584i
\(66\) −29.0276 24.3571i −0.0541372 0.0454265i
\(67\) 68.6778 + 57.6275i 0.125229 + 0.105079i 0.703251 0.710942i \(-0.251731\pi\)
−0.578022 + 0.816021i \(0.696175\pi\)
\(68\) 149.593 + 259.103i 0.266777 + 0.462071i
\(69\) 87.3362 151.271i 0.152377 0.263926i
\(70\) −12.5564 + 4.57014i −0.0214396 + 0.00780337i
\(71\) −109.611 621.638i −0.183218 1.03908i −0.928223 0.372023i \(-0.878664\pi\)
0.745005 0.667059i \(-0.232447\pi\)
\(72\) −3.00897 + 17.0647i −0.00492514 + 0.0279318i
\(73\) 713.200 + 259.583i 1.14348 + 0.416191i 0.843167 0.537651i \(-0.180688\pi\)
0.300308 + 0.953842i \(0.402911\pi\)
\(74\) 615.066 516.102i 0.966217 0.810752i
\(75\) 595.404 0.916684
\(76\) 254.819 + 211.687i 0.384601 + 0.319503i
\(77\) 10.8095 0.0159981
\(78\) −125.157 + 105.019i −0.181683 + 0.152450i
\(79\) 774.641 + 281.946i 1.10321 + 0.401537i 0.828500 0.559989i \(-0.189194\pi\)
0.274714 + 0.961526i \(0.411417\pi\)
\(80\) 6.52885 37.0270i 0.00912435 0.0517468i
\(81\) −115.620 655.711i −0.158600 0.899467i
\(82\) 121.850 44.3498i 0.164099 0.0597270i
\(83\) 66.3727 114.961i 0.0877753 0.152031i −0.818795 0.574086i \(-0.805358\pi\)
0.906570 + 0.422055i \(0.138691\pi\)
\(84\) 28.3370 + 49.0812i 0.0368074 + 0.0637523i
\(85\) −134.642 112.978i −0.171812 0.144167i
\(86\) −119.304 100.108i −0.149592 0.125522i
\(87\) 194.770 + 337.352i 0.240018 + 0.415723i
\(88\) −15.2077 + 26.3405i −0.0184221 + 0.0319081i
\(89\) −1326.11 + 482.664i −1.57941 + 0.574857i −0.975075 0.221876i \(-0.928782\pi\)
−0.604332 + 0.796733i \(0.706560\pi\)
\(90\) −1.76768 10.0250i −0.00207033 0.0117414i
\(91\) 8.09319 45.8987i 0.00932304 0.0528736i
\(92\) −131.749 47.9527i −0.149302 0.0543414i
\(93\) 877.003 735.892i 0.977859 0.820521i
\(94\) −930.872 −1.02141
\(95\) −183.204 65.6605i −0.197857 0.0709118i
\(96\) −159.468 −0.169538
\(97\) −1011.58 + 848.815i −1.05887 + 0.888496i −0.993998 0.109398i \(-0.965108\pi\)
−0.0648699 + 0.997894i \(0.520663\pi\)
\(98\) 629.437 + 229.096i 0.648803 + 0.236145i
\(99\) −1.42998 + 8.10984i −0.00145171 + 0.00823303i
\(100\) −82.9886 470.652i −0.0829886 0.470652i
\(101\) 272.864 99.3143i 0.268821 0.0978430i −0.204093 0.978952i \(-0.565424\pi\)
0.472914 + 0.881109i \(0.343202\pi\)
\(102\) −372.739 + 645.602i −0.361830 + 0.626707i
\(103\) −303.088 524.964i −0.289943 0.502197i 0.683853 0.729620i \(-0.260303\pi\)
−0.973796 + 0.227424i \(0.926970\pi\)
\(104\) 100.460 + 84.2958i 0.0947201 + 0.0794796i
\(105\) −25.5050 21.4012i −0.0237051 0.0198909i
\(106\) 70.9500 + 122.889i 0.0650120 + 0.112604i
\(107\) −364.367 + 631.101i −0.329202 + 0.570195i −0.982354 0.187032i \(-0.940113\pi\)
0.653151 + 0.757227i \(0.273446\pi\)
\(108\) −546.319 + 198.844i −0.486755 + 0.177164i
\(109\) −260.479 1477.25i −0.228893 1.29812i −0.855100 0.518463i \(-0.826505\pi\)
0.626207 0.779657i \(-0.284607\pi\)
\(110\) 3.10278 17.5967i 0.00268944 0.0152526i
\(111\) 1879.95 + 684.247i 1.60754 + 0.585098i
\(112\) 34.8478 29.2407i 0.0294000 0.0246696i
\(113\) −1048.77 −0.873094 −0.436547 0.899681i \(-0.643799\pi\)
−0.436547 + 0.899681i \(0.643799\pi\)
\(114\) −139.328 + 813.593i −0.114468 + 0.668421i
\(115\) 82.3660 0.0667884
\(116\) 239.521 200.982i 0.191715 0.160868i
\(117\) 33.3650 + 12.1439i 0.0263641 + 0.00959573i
\(118\) −230.425 + 1306.81i −0.179766 + 1.01950i
\(119\) −36.9277 209.427i −0.0284467 0.161329i
\(120\) 88.0331 32.0414i 0.0669690 0.0243747i
\(121\) 658.273 1140.16i 0.494570 0.856620i
\(122\) 157.946 + 273.570i 0.117211 + 0.203015i
\(123\) 247.507 + 207.683i 0.181439 + 0.152245i
\(124\) −703.943 590.678i −0.509806 0.427778i
\(125\) 287.248 + 497.528i 0.205538 + 0.356002i
\(126\) 6.15826 10.6664i 0.00435414 0.00754159i
\(127\) −2220.44 + 808.176i −1.55144 + 0.564677i −0.968754 0.248022i \(-0.920219\pi\)
−0.582683 + 0.812699i \(0.697997\pi\)
\(128\) 22.2270 + 126.055i 0.0153485 + 0.0870455i
\(129\) 67.3853 382.161i 0.0459918 0.260832i
\(130\) −72.3954 26.3498i −0.0488423 0.0177771i
\(131\) 1360.37 1141.48i 0.907297 0.761312i −0.0643062 0.997930i \(-0.520483\pi\)
0.971603 + 0.236618i \(0.0760390\pi\)
\(132\) −75.7857 −0.0499720
\(133\) −118.737 203.338i −0.0774122 0.132569i
\(134\) 179.305 0.115594
\(135\) 261.638 219.540i 0.166802 0.139963i
\(136\) 562.285 + 204.655i 0.354526 + 0.129037i
\(137\) −329.182 + 1866.88i −0.205284 + 1.16422i 0.691709 + 0.722177i \(0.256858\pi\)
−0.896993 + 0.442046i \(0.854253\pi\)
\(138\) −60.6631 344.038i −0.0374202 0.212220i
\(139\) 177.152 64.4779i 0.108099 0.0393449i −0.287404 0.957809i \(-0.592792\pi\)
0.395504 + 0.918464i \(0.370570\pi\)
\(140\) −13.3622 + 23.1440i −0.00806651 + 0.0139716i
\(141\) −1159.72 2008.69i −0.692667 1.19973i
\(142\) −967.097 811.490i −0.571528 0.479569i
\(143\) 47.7426 + 40.0608i 0.0279192 + 0.0234270i
\(144\) 17.3279 + 30.0129i 0.0100277 + 0.0173686i
\(145\) −91.8430 + 159.077i −0.0526010 + 0.0911076i
\(146\) 1426.40 519.167i 0.808559 0.294291i
\(147\) 289.821 + 1643.66i 0.162613 + 0.922222i
\(148\) 278.849 1581.43i 0.154873 0.878328i
\(149\) 2329.07 + 847.713i 1.28057 + 0.466090i 0.890621 0.454746i \(-0.150270\pi\)
0.389950 + 0.920836i \(0.372492\pi\)
\(150\) 912.211 765.436i 0.496545 0.416651i
\(151\) 885.978 0.477483 0.238741 0.971083i \(-0.423265\pi\)
0.238741 + 0.971083i \(0.423265\pi\)
\(152\) 662.545 3.26457i 0.353549 0.00174205i
\(153\) 162.009 0.0856053
\(154\) 16.5611 13.8964i 0.00866579 0.00727146i
\(155\) 507.290 + 184.638i 0.262881 + 0.0956807i
\(156\) −56.7416 + 321.798i −0.0291216 + 0.165157i
\(157\) −213.486 1210.74i −0.108523 0.615462i −0.989755 0.142778i \(-0.954396\pi\)
0.881232 0.472684i \(-0.156715\pi\)
\(158\) 1549.28 563.893i 0.780091 0.283930i
\(159\) −176.785 + 306.201i −0.0881760 + 0.152725i
\(160\) −37.5982 65.1219i −0.0185775 0.0321771i
\(161\) 76.3407 + 64.0574i 0.0373695 + 0.0313567i
\(162\) −1020.11 855.970i −0.494735 0.415132i
\(163\) −233.423 404.300i −0.112166 0.194277i 0.804477 0.593983i \(-0.202446\pi\)
−0.916643 + 0.399706i \(0.869112\pi\)
\(164\) 129.670 224.595i 0.0617411 0.106939i
\(165\) 41.8369 15.2274i 0.0197394 0.00718456i
\(166\) −46.1020 261.457i −0.0215555 0.122247i
\(167\) −623.548 + 3536.32i −0.288932 + 1.63861i 0.401962 + 0.915656i \(0.368328\pi\)
−0.690894 + 0.722957i \(0.742783\pi\)
\(168\) 106.512 + 38.7673i 0.0489143 + 0.0178034i
\(169\) −1477.15 + 1239.48i −0.672349 + 0.564167i
\(170\) −351.526 −0.158593
\(171\) 168.263 62.1833i 0.0752479 0.0278086i
\(172\) −311.481 −0.138082
\(173\) 221.077 185.505i 0.0971569 0.0815244i −0.592915 0.805265i \(-0.702023\pi\)
0.690072 + 0.723740i \(0.257579\pi\)
\(174\) 732.097 + 266.461i 0.318966 + 0.116094i
\(175\) −58.9874 + 334.534i −0.0254802 + 0.144505i
\(176\) 10.5632 + 59.9067i 0.00452403 + 0.0256570i
\(177\) −3106.98 + 1130.85i −1.31941 + 0.480225i
\(178\) −1411.22 + 2444.30i −0.594242 + 1.02926i
\(179\) −1987.87 3443.10i −0.830060 1.43771i −0.897990 0.440015i \(-0.854973\pi\)
0.0679306 0.997690i \(-0.478360\pi\)
\(180\) −15.5962 13.0867i −0.00645816 0.00541904i
\(181\) 529.525 + 444.324i 0.217455 + 0.182466i 0.745007 0.667056i \(-0.232446\pi\)
−0.527553 + 0.849522i \(0.676890\pi\)
\(182\) −46.6068 80.7253i −0.0189820 0.0328778i
\(183\) −393.552 + 681.651i −0.158974 + 0.275350i
\(184\) −263.498 + 95.9053i −0.105572 + 0.0384252i
\(185\) 163.816 + 929.044i 0.0651025 + 0.369214i
\(186\) 397.601 2254.91i 0.156739 0.888912i
\(187\) 267.221 + 97.2606i 0.104498 + 0.0380342i
\(188\) −1426.18 + 1196.71i −0.553270 + 0.464249i
\(189\) 413.239 0.159041
\(190\) −365.097 + 134.925i −0.139405 + 0.0515185i
\(191\) 2235.13 0.846746 0.423373 0.905955i \(-0.360846\pi\)
0.423373 + 0.905955i \(0.360846\pi\)
\(192\) −244.319 + 205.008i −0.0918344 + 0.0770582i
\(193\) −3759.67 1368.41i −1.40221 0.510363i −0.473377 0.880860i \(-0.656965\pi\)
−0.928834 + 0.370497i \(0.879187\pi\)
\(194\) −458.612 + 2600.92i −0.169724 + 0.962552i
\(195\) −33.3341 189.047i −0.0122416 0.0694253i
\(196\) 1258.87 458.193i 0.458773 0.166980i
\(197\) 1048.97 1816.87i 0.379371 0.657089i −0.611600 0.791167i \(-0.709474\pi\)
0.990971 + 0.134078i \(0.0428072\pi\)
\(198\) 8.23495 + 14.2634i 0.00295572 + 0.00511946i
\(199\) −1449.02 1215.87i −0.516171 0.433119i 0.347123 0.937819i \(-0.387158\pi\)
−0.863294 + 0.504701i \(0.831603\pi\)
\(200\) −732.204 614.392i −0.258873 0.217220i
\(201\) 223.386 + 386.916i 0.0783902 + 0.135776i
\(202\) 290.376 502.945i 0.101142 0.175184i
\(203\) −208.841 + 76.0120i −0.0722058 + 0.0262808i
\(204\) 258.902 + 1468.30i 0.0888565 + 0.503930i
\(205\) −26.4562 + 150.040i −0.00901356 + 0.0511184i
\(206\) −1139.24 414.649i −0.385313 0.140243i
\(207\) −58.1583 + 48.8006i −0.0195279 + 0.0163859i
\(208\) 262.282 0.0874326
\(209\) 314.868 1.55146i 0.104210 0.000513477i
\(210\) −66.5888 −0.0218813
\(211\) 1583.33 1328.57i 0.516591 0.433471i −0.346850 0.937920i \(-0.612749\pi\)
0.863441 + 0.504449i \(0.168304\pi\)
\(212\) 266.685 + 97.0653i 0.0863962 + 0.0314456i
\(213\) 546.235 3097.85i 0.175716 0.996532i
\(214\) 253.086 + 1435.32i 0.0808441 + 0.458489i
\(215\) 171.951 62.5849i 0.0545439 0.0198524i
\(216\) −581.380 + 1006.98i −0.183138 + 0.317205i
\(217\) 326.584 + 565.660i 0.102166 + 0.176956i
\(218\) −2298.20 1928.41i −0.714007 0.599123i
\(219\) 2897.36 + 2431.17i 0.893998 + 0.750153i
\(220\) −17.8682 30.9486i −0.00547579 0.00948435i
\(221\) 613.055 1061.84i 0.186600 0.323200i
\(222\) 3759.91 1368.49i 1.13671 0.413727i
\(223\) 200.455 + 1136.83i 0.0601948 + 0.341381i 1.00000 0.000329250i \(-0.000104803\pi\)
−0.939805 + 0.341711i \(0.888994\pi\)
\(224\) 15.7987 89.5988i 0.00471248 0.0267258i
\(225\) −243.182 88.5109i −0.0720538 0.0262254i
\(226\) −1606.80 + 1348.27i −0.472933 + 0.396838i
\(227\) 829.315 0.242483 0.121241 0.992623i \(-0.461312\pi\)
0.121241 + 0.992623i \(0.461312\pi\)
\(228\) 832.471 + 1425.61i 0.241806 + 0.414095i
\(229\) 5032.36 1.45217 0.726087 0.687603i \(-0.241337\pi\)
0.726087 + 0.687603i \(0.241337\pi\)
\(230\) 126.192 105.888i 0.0361776 0.0303566i
\(231\) 50.6191 + 18.4238i 0.0144177 + 0.00524762i
\(232\) 108.590 615.844i 0.0307296 0.174276i
\(233\) 216.866 + 1229.91i 0.0609758 + 0.345811i 0.999998 + 0.00195479i \(0.000622230\pi\)
−0.939022 + 0.343856i \(0.888267\pi\)
\(234\) 66.7300 24.2877i 0.0186422 0.00678521i
\(235\) 546.861 947.190i 0.151801 0.262927i
\(236\) 1326.97 + 2298.37i 0.366009 + 0.633946i
\(237\) 3146.97 + 2640.62i 0.862521 + 0.723741i
\(238\) −325.811 273.388i −0.0887361 0.0744585i
\(239\) −2364.18 4094.89i −0.639859 1.10827i −0.985463 0.169888i \(-0.945659\pi\)
0.345604 0.938380i \(-0.387674\pi\)
\(240\) 93.6829 162.263i 0.0251967 0.0436419i
\(241\) −379.823 + 138.244i −0.101521 + 0.0369506i −0.392281 0.919845i \(-0.628314\pi\)
0.290760 + 0.956796i \(0.406092\pi\)
\(242\) −457.231 2593.09i −0.121454 0.688802i
\(243\) −105.275 + 597.042i −0.0277917 + 0.157614i
\(244\) 593.682 + 216.083i 0.155765 + 0.0566937i
\(245\) −602.889 + 505.884i −0.157213 + 0.131917i
\(246\) 646.195 0.167479
\(247\) 229.158 1338.14i 0.0590323 0.344712i
\(248\) −1837.86 −0.470583
\(249\) 506.754 425.217i 0.128973 0.108221i
\(250\) 1079.70 + 392.978i 0.273144 + 0.0994164i
\(251\) 1103.55 6258.53i 0.277511 1.57384i −0.453359 0.891328i \(-0.649774\pi\)
0.730870 0.682517i \(-0.239115\pi\)
\(252\) −4.27748 24.2588i −0.00106927 0.00606413i
\(253\) −125.225 + 45.5782i −0.0311179 + 0.0113260i
\(254\) −2362.95 + 4092.74i −0.583718 + 1.01103i
\(255\) −437.947 758.546i −0.107550 0.186282i
\(256\) 196.107 + 164.554i 0.0478778 + 0.0401742i
\(257\) 3325.92 + 2790.78i 0.807257 + 0.677369i 0.949951 0.312398i \(-0.101132\pi\)
−0.142695 + 0.989767i \(0.545577\pi\)
\(258\) −388.056 672.133i −0.0936408 0.162191i
\(259\) −570.702 + 988.484i −0.136918 + 0.237148i
\(260\) −144.791 + 52.6995i −0.0345367 + 0.0125703i
\(261\) −29.4006 166.739i −0.00697262 0.0395437i
\(262\) 616.740 3497.71i 0.145429 0.824768i
\(263\) −5755.73 2094.92i −1.34948 0.491171i −0.436696 0.899609i \(-0.643851\pi\)
−0.912786 + 0.408438i \(0.866074\pi\)
\(264\) −116.110 + 97.4283i −0.0270686 + 0.0227132i
\(265\) −166.724 −0.0386483
\(266\) −443.323 158.887i −0.102187 0.0366240i
\(267\) −7032.61 −1.61194
\(268\) 274.711 230.510i 0.0626144 0.0525397i
\(269\) −5575.72 2029.40i −1.26378 0.459980i −0.378747 0.925500i \(-0.623645\pi\)
−0.885037 + 0.465521i \(0.845867\pi\)
\(270\) 118.617 672.711i 0.0267363 0.151629i
\(271\) 1127.05 + 6391.80i 0.252632 + 1.43275i 0.802079 + 0.597218i \(0.203727\pi\)
−0.549448 + 0.835528i \(0.685162\pi\)
\(272\) 1124.57 409.310i 0.250688 0.0912429i
\(273\) 116.130 201.142i 0.0257453 0.0445922i
\(274\) 1895.68 + 3283.42i 0.417965 + 0.723936i
\(275\) −347.973 291.984i −0.0763040 0.0640266i
\(276\) −535.227 449.109i −0.116728 0.0979464i
\(277\) 1187.20 + 2056.30i 0.257517 + 0.446032i 0.965576 0.260121i \(-0.0837625\pi\)
−0.708059 + 0.706153i \(0.750429\pi\)
\(278\) 188.521 326.528i 0.0406717 0.0704454i
\(279\) −467.591 + 170.189i −0.100337 + 0.0365196i
\(280\) 9.28128 + 52.6368i 0.00198094 + 0.0112345i
\(281\) −808.693 + 4586.33i −0.171682 + 0.973656i 0.770223 + 0.637775i \(0.220145\pi\)
−0.941905 + 0.335881i \(0.890966\pi\)
\(282\) −4359.12 1586.59i −0.920504 0.335036i
\(283\) −2339.64 + 1963.19i −0.491439 + 0.412366i −0.854542 0.519383i \(-0.826162\pi\)
0.363103 + 0.931749i \(0.381717\pi\)
\(284\) −2524.91 −0.527556
\(285\) −746.004 619.734i −0.155051 0.128806i
\(286\) 124.647 0.0257711
\(287\) −141.210 + 118.489i −0.0290430 + 0.0243700i
\(288\) 65.1317 + 23.7060i 0.0133261 + 0.00485031i
\(289\) 118.343 671.156i 0.0240877 0.136608i
\(290\) 63.7935 + 361.791i 0.0129175 + 0.0732589i
\(291\) −6183.79 + 2250.71i −1.24570 + 0.453399i
\(292\) 1517.94 2629.15i 0.304215 0.526916i
\(293\) 4828.41 + 8363.06i 0.962727 + 1.66749i 0.715602 + 0.698508i \(0.246153\pi\)
0.247125 + 0.968984i \(0.420514\pi\)
\(294\) 2557.08 + 2145.64i 0.507251 + 0.425634i
\(295\) −1194.35 1002.18i −0.235720 0.197793i
\(296\) −1605.82 2781.37i −0.315327 0.546162i
\(297\) −276.296 + 478.558i −0.0539808 + 0.0934975i
\(298\) 4658.15 1695.43i 0.905501 0.329575i
\(299\) 99.7745 + 565.849i 0.0192980 + 0.109445i
\(300\) 413.563 2345.43i 0.0795902 0.451379i
\(301\) 208.045 + 75.7223i 0.0398390 + 0.0145002i
\(302\) 1357.40 1138.99i 0.258640 0.217025i
\(303\) 1447.05 0.274359
\(304\) 1010.88 856.753i 0.190717 0.161639i
\(305\) −371.155 −0.0696795
\(306\) 248.211 208.274i 0.0463703 0.0389093i
\(307\) 1194.03 + 434.591i 0.221977 + 0.0807929i 0.450614 0.892719i \(-0.351205\pi\)
−0.228638 + 0.973512i \(0.573427\pi\)
\(308\) 7.50819 42.5811i 0.00138902 0.00787754i
\(309\) −524.557 2974.91i −0.0965728 0.547692i
\(310\) 1014.58 369.277i 0.185885 0.0676565i
\(311\) 2593.69 4492.40i 0.472908 0.819101i −0.526611 0.850106i \(-0.676538\pi\)
0.999519 + 0.0310052i \(0.00987085\pi\)
\(312\) 326.762 + 565.969i 0.0592925 + 0.102698i
\(313\) 5953.19 + 4995.32i 1.07506 + 0.902084i 0.995501 0.0947462i \(-0.0302039\pi\)
0.0795603 + 0.996830i \(0.474648\pi\)
\(314\) −1883.58 1580.51i −0.338523 0.284055i
\(315\) 7.23560 + 12.5324i 0.00129422 + 0.00224166i
\(316\) 1648.71 2855.65i 0.293504 0.508364i
\(317\) 6133.80 2232.52i 1.08678 0.395555i 0.264351 0.964426i \(-0.414842\pi\)
0.822426 + 0.568872i \(0.192620\pi\)
\(318\) 122.794 + 696.398i 0.0216539 + 0.122805i
\(319\) 51.6064 292.674i 0.00905769 0.0513687i
\(320\) −141.323 51.4373i −0.0246881 0.00898573i
\(321\) −2781.93 + 2334.31i −0.483714 + 0.405884i
\(322\) 199.311 0.0344944
\(323\) −1105.72 6095.09i −0.190477 1.04997i
\(324\) −2663.31 −0.456671
\(325\) −1500.34 + 1258.94i −0.256074 + 0.214871i
\(326\) −877.382 319.341i −0.149060 0.0542536i
\(327\) 1298.07 7361.70i 0.219520 1.24496i
\(328\) −90.0680 510.801i −0.0151621 0.0859886i
\(329\) 1243.50 452.598i 0.208378 0.0758436i
\(330\) 44.5219 77.1143i 0.00742683 0.0128636i
\(331\) 4241.73 + 7346.90i 0.704371 + 1.22001i 0.966918 + 0.255087i \(0.0821041\pi\)
−0.262547 + 0.964919i \(0.584563\pi\)
\(332\) −406.756 341.308i −0.0672398 0.0564209i
\(333\) −666.115 558.937i −0.109618 0.0919806i
\(334\) 3590.87 + 6219.57i 0.588274 + 1.01892i
\(335\) −105.337 + 182.448i −0.0171795 + 0.0297558i
\(336\) 213.025 77.5347i 0.0345877 0.0125889i
\(337\) −960.420 5446.81i −0.155245 0.880435i −0.958562 0.284884i \(-0.908045\pi\)
0.803317 0.595551i \(-0.203066\pi\)
\(338\) −669.685 + 3797.97i −0.107769 + 0.611191i
\(339\) −4911.20 1787.53i −0.786843 0.286388i
\(340\) −538.569 + 451.913i −0.0859060 + 0.0720837i
\(341\) −873.429 −0.138706
\(342\) 177.852 311.585i 0.0281203 0.0492649i
\(343\) −1927.42 −0.303414
\(344\) −477.216 + 400.432i −0.0747959 + 0.0627612i
\(345\) 385.707 + 140.386i 0.0601906 + 0.0219076i
\(346\) 100.228 568.421i 0.0155731 0.0883194i
\(347\) 1616.52 + 9167.75i 0.250085 + 1.41830i 0.808381 + 0.588660i \(0.200344\pi\)
−0.558296 + 0.829642i \(0.688545\pi\)
\(348\) 1464.19 532.923i 0.225543 0.0820910i
\(349\) 4328.92 7497.92i 0.663960 1.15001i −0.315606 0.948890i \(-0.602208\pi\)
0.979566 0.201122i \(-0.0644588\pi\)
\(350\) 339.695 + 588.369i 0.0518785 + 0.0898561i
\(351\) 1825.17 + 1531.50i 0.277550 + 0.232892i
\(352\) 93.1983 + 78.2027i 0.0141122 + 0.0118415i
\(353\) −1571.37 2721.69i −0.236928 0.410371i 0.722904 0.690949i \(-0.242807\pi\)
−0.959831 + 0.280578i \(0.909474\pi\)
\(354\) −3306.38 + 5726.82i −0.496419 + 0.859822i
\(355\) 1393.86 507.323i 0.208390 0.0758476i
\(356\) 980.220 + 5559.10i 0.145931 + 0.827617i
\(357\) 184.024 1043.65i 0.0272818 0.154723i
\(358\) −7471.96 2719.57i −1.10309 0.401491i
\(359\) 4268.27 3581.50i 0.627494 0.526530i −0.272655 0.962112i \(-0.587902\pi\)
0.900149 + 0.435582i \(0.143457\pi\)
\(360\) −40.7187 −0.00596129
\(361\) −3487.87 5905.98i −0.508510 0.861056i
\(362\) 1382.49 0.200724
\(363\) 5025.89 4217.22i 0.726697 0.609771i
\(364\) −175.184 63.7619i −0.0252257 0.00918140i
\(365\) −309.701 + 1756.40i −0.0444123 + 0.251875i
\(366\) 273.358 + 1550.29i 0.0390400 + 0.221407i
\(367\) 710.105 258.457i 0.101000 0.0367612i −0.291026 0.956715i \(-0.593996\pi\)
0.392026 + 0.919954i \(0.371774\pi\)
\(368\) −280.408 + 485.682i −0.0397209 + 0.0687986i
\(369\) −70.2162 121.618i −0.00990598 0.0171577i
\(370\) 1445.34 + 1212.78i 0.203080 + 0.170404i
\(371\) −154.528 129.664i −0.0216245 0.0181451i
\(372\) −2289.69 3965.86i −0.319126 0.552743i
\(373\) −251.203 + 435.096i −0.0348708 + 0.0603980i −0.882934 0.469497i \(-0.844435\pi\)
0.848063 + 0.529895i \(0.177769\pi\)
\(374\) 534.442 194.521i 0.0738913 0.0268942i
\(375\) 497.142 + 2819.43i 0.0684594 + 0.388253i
\(376\) −646.577 + 3666.92i −0.0886826 + 0.502944i
\(377\) −1204.10 438.257i −0.164495 0.0598711i
\(378\) 633.119 531.250i 0.0861484 0.0722871i
\(379\) 2045.80 0.277270 0.138635 0.990344i \(-0.455728\pi\)
0.138635 + 0.990344i \(0.455728\pi\)
\(380\) −385.904 + 676.077i −0.0520960 + 0.0912685i
\(381\) −11775.4 −1.58340
\(382\) 3424.42 2873.43i 0.458662 0.384863i
\(383\) 5015.47 + 1825.48i 0.669134 + 0.243545i 0.654175 0.756343i \(-0.273016\pi\)
0.0149590 + 0.999888i \(0.495238\pi\)
\(384\) −110.765 + 628.181i −0.0147200 + 0.0834811i
\(385\) 4.41085 + 25.0152i 0.000583890 + 0.00331140i
\(386\) −7519.33 + 2736.81i −0.991513 + 0.360881i
\(387\) −84.3331 + 146.069i −0.0110772 + 0.0191864i
\(388\) 2641.04 + 4574.42i 0.345563 + 0.598533i
\(389\) −75.8876 63.6773i −0.00989114 0.00829965i 0.637829 0.770178i \(-0.279833\pi\)
−0.647720 + 0.761879i \(0.724277\pi\)
\(390\) −294.105 246.783i −0.0381861 0.0320420i
\(391\) 1310.85 + 2270.45i 0.169546 + 0.293662i
\(392\) 1339.67 2320.37i 0.172611 0.298970i
\(393\) 8315.94 3026.76i 1.06739 0.388498i
\(394\) −728.607 4132.14i −0.0931642 0.528360i
\(395\) −336.381 + 1907.71i −0.0428486 + 0.243006i
\(396\) 30.9533 + 11.2661i 0.00392793 + 0.00142965i
\(397\) −8907.18 + 7474.01i −1.12604 + 0.944861i −0.998894 0.0470226i \(-0.985027\pi\)
−0.127148 + 0.991884i \(0.540582\pi\)
\(398\) −3783.11 −0.476458
\(399\) −209.454 1154.58i −0.0262803 0.144865i
\(400\) −1911.65 −0.238956
\(401\) −4387.55 + 3681.59i −0.546393 + 0.458478i −0.873717 0.486434i \(-0.838297\pi\)
0.327324 + 0.944912i \(0.393853\pi\)
\(402\) 839.656 + 305.610i 0.104175 + 0.0379165i
\(403\) −653.946 + 3708.71i −0.0808322 + 0.458422i
\(404\) −201.693 1143.86i −0.0248381 0.140864i
\(405\) 1470.26 535.130i 0.180389 0.0656564i
\(406\) −222.244 + 384.938i −0.0271670 + 0.0470546i
\(407\) −763.154 1321.82i −0.0929438 0.160983i
\(408\) 2284.27 + 1916.73i 0.277178 + 0.232580i
\(409\) −4936.31 4142.06i −0.596785 0.500762i 0.293626 0.955920i \(-0.405138\pi\)
−0.890410 + 0.455159i \(0.849583\pi\)
\(410\) 152.355 + 263.887i 0.0183519 + 0.0317864i
\(411\) −4723.44 + 8181.24i −0.566886 + 0.981876i
\(412\) −2278.48 + 829.298i −0.272458 + 0.0991665i
\(413\) −327.567 1857.73i −0.0390279 0.221338i
\(414\) −26.3668 + 149.534i −0.00313010 + 0.0177517i
\(415\) 293.124 + 106.689i 0.0346721 + 0.0126196i
\(416\) 401.839 337.183i 0.0473601 0.0397398i
\(417\) 939.470 0.110326
\(418\) 480.412 407.164i 0.0562146 0.0476436i
\(419\) 2695.30 0.314258 0.157129 0.987578i \(-0.449776\pi\)
0.157129 + 0.987578i \(0.449776\pi\)
\(420\) −102.020 + 85.6049i −0.0118525 + 0.00994546i
\(421\) −15398.6 5604.63i −1.78262 0.648819i −0.999642 0.0267649i \(-0.991479\pi\)
−0.782974 0.622054i \(-0.786298\pi\)
\(422\) 717.822 4070.97i 0.0828034 0.469601i
\(423\) 175.060 + 992.815i 0.0201222 + 0.114119i
\(424\) 533.370 194.131i 0.0610913 0.0222354i
\(425\) −4468.27 + 7739.26i −0.509983 + 0.883316i
\(426\) −3145.64 5448.41i −0.357763 0.619663i
\(427\) −344.004 288.653i −0.0389871 0.0327141i
\(428\) 2232.97 + 1873.68i 0.252184 + 0.211607i
\(429\) 155.291 + 268.972i 0.0174767 + 0.0302706i
\(430\) 182.986 316.941i 0.0205218 0.0355448i
\(431\) 164.535 59.8858i 0.0183883 0.00669281i −0.332810 0.942994i \(-0.607997\pi\)
0.351198 + 0.936301i \(0.385774\pi\)
\(432\) 403.822 + 2290.19i 0.0449743 + 0.255062i
\(433\) 2122.35 12036.4i 0.235551 1.33588i −0.605900 0.795541i \(-0.707187\pi\)
0.841451 0.540334i \(-0.181702\pi\)
\(434\) 1227.55 + 446.793i 0.135771 + 0.0494165i
\(435\) −701.219 + 588.392i −0.0772893 + 0.0648535i
\(436\) −6000.16 −0.659073
\(437\) 2232.91 + 1854.97i 0.244427 + 0.203055i
\(438\) 7564.47 0.825216
\(439\) 2482.96 2083.45i 0.269943 0.226509i −0.497760 0.867315i \(-0.665844\pi\)
0.767703 + 0.640805i \(0.221399\pi\)
\(440\) −67.1625 24.4451i −0.00727692 0.00264858i
\(441\) 125.969 714.406i 0.0136021 0.0771413i
\(442\) −425.823 2414.96i −0.0458243 0.259883i
\(443\) 7846.02 2855.72i 0.841481 0.306274i 0.114919 0.993375i \(-0.463339\pi\)
0.726562 + 0.687101i \(0.241117\pi\)
\(444\) 4001.21 6930.30i 0.427678 0.740760i
\(445\) −1658.10 2871.91i −0.176632 0.305936i
\(446\) 1768.60 + 1484.03i 0.187771 + 0.157558i
\(447\) 9461.82 + 7939.41i 1.00118 + 0.840092i
\(448\) −90.9811 157.584i −0.00959476 0.0166186i
\(449\) 5682.25 9841.94i 0.597242 1.03445i −0.395984 0.918257i \(-0.629596\pi\)
0.993226 0.116197i \(-0.0370703\pi\)
\(450\) −486.363 + 177.022i −0.0509497 + 0.0185442i
\(451\) −42.8040 242.754i −0.00446909 0.0253455i
\(452\) −728.465 + 4131.33i −0.0758056 + 0.429915i
\(453\) 4148.89 + 1510.07i 0.430313 + 0.156621i
\(454\) 1270.58 1066.15i 0.131347 0.110213i
\(455\) 109.521 0.0112844
\(456\) 3108.15 + 1113.96i 0.319194 + 0.114399i
\(457\) 12215.7 1.25038 0.625192 0.780471i \(-0.285021\pi\)
0.625192 + 0.780471i \(0.285021\pi\)
\(458\) 7710.03 6469.48i 0.786607 0.660041i
\(459\) 10215.7 + 3718.20i 1.03884 + 0.378106i
\(460\) 57.2108 324.459i 0.00579884 0.0328869i
\(461\) 1454.74 + 8250.23i 0.146972 + 0.833517i 0.965763 + 0.259426i \(0.0835334\pi\)
−0.818791 + 0.574091i \(0.805356\pi\)
\(462\) 101.238 36.8477i 0.0101949 0.00371063i
\(463\) −3115.90 + 5396.90i −0.312761 + 0.541718i −0.978959 0.204057i \(-0.934587\pi\)
0.666198 + 0.745775i \(0.267920\pi\)
\(464\) −625.344 1083.13i −0.0625666 0.108368i
\(465\) 2060.86 + 1729.26i 0.205527 + 0.172457i
\(466\) 1913.40 + 1605.53i 0.190207 + 0.159603i
\(467\) −6218.51 10770.8i −0.616185 1.06726i −0.990175 0.139831i \(-0.955344\pi\)
0.373990 0.927433i \(-0.377989\pi\)
\(468\) 71.0126 122.997i 0.00701401 0.0121486i
\(469\) −239.524 + 87.1796i −0.0235825 + 0.00858333i
\(470\) −379.845 2154.21i −0.0372786 0.211418i
\(471\) 1063.88 6033.57i 0.104079 0.590259i
\(472\) 4987.76 + 1815.40i 0.486399 + 0.177035i
\(473\) −226.793 + 190.302i −0.0220464 + 0.0184991i
\(474\) 8216.15 0.796161
\(475\) −1670.22 + 9753.08i −0.161337 + 0.942110i
\(476\) −850.633 −0.0819090
\(477\) 117.724 98.7818i 0.0113002 0.00948199i
\(478\) −8886.42 3234.39i −0.850326 0.309493i
\(479\) −1098.88 + 6232.07i −0.104821 + 0.594469i 0.886471 + 0.462785i \(0.153150\pi\)
−0.991292 + 0.131684i \(0.957961\pi\)
\(480\) −65.0714 369.038i −0.00618769 0.0350921i
\(481\) −6184.04 + 2250.81i −0.586212 + 0.213364i
\(482\) −404.199 + 700.094i −0.0381966 + 0.0661585i
\(483\) 248.311 + 430.087i 0.0233924 + 0.0405168i
\(484\) −4034.13 3385.04i −0.378863 0.317903i
\(485\) −2377.09 1994.62i −0.222553 0.186744i
\(486\) 606.253 + 1050.06i 0.0565847 + 0.0980077i
\(487\) −1799.28 + 3116.44i −0.167419 + 0.289979i −0.937512 0.347954i \(-0.886877\pi\)
0.770093 + 0.637932i \(0.220210\pi\)
\(488\) 1187.36 432.165i 0.110142 0.0400885i
\(489\) −403.986 2291.12i −0.0373597 0.211877i
\(490\) −273.328 + 1550.12i −0.0251993 + 0.142913i
\(491\) 4014.46 + 1461.15i 0.368982 + 0.134298i 0.519855 0.854255i \(-0.325986\pi\)
−0.150873 + 0.988553i \(0.548208\pi\)
\(492\) 990.028 830.732i 0.0907193 0.0761225i
\(493\) −5846.69 −0.534121
\(494\) −1369.19 2344.75i −0.124702 0.213553i
\(495\) −19.3512 −0.00175711
\(496\) −2815.77 + 2362.71i −0.254903 + 0.213889i
\(497\) 1686.45 + 613.816i 0.152208 + 0.0553993i
\(498\) 229.743 1302.94i 0.0206728 0.117241i
\(499\) −403.857 2290.39i −0.0362307 0.205474i 0.961319 0.275438i \(-0.0888228\pi\)
−0.997550 + 0.0699634i \(0.977712\pi\)
\(500\) 2159.40 785.956i 0.193142 0.0702980i
\(501\) −8947.32 + 15497.2i −0.797878 + 1.38197i
\(502\) −6355.08 11007.3i −0.565022 0.978647i
\(503\) −17155.6 14395.2i −1.52073 1.27605i −0.838482 0.544930i \(-0.816556\pi\)
−0.682252 0.731117i \(-0.738999\pi\)
\(504\) −37.7400 31.6676i −0.00333546 0.00279879i
\(505\) 341.175 + 590.932i 0.0300635 + 0.0520715i
\(506\) −133.262 + 230.816i −0.0117079 + 0.0202787i
\(507\) −9029.83 + 3286.59i −0.790984 + 0.287895i
\(508\) 1641.29 + 9308.19i 0.143347 + 0.812961i
\(509\) −1412.91 + 8013.02i −0.123038 + 0.697782i 0.859416 + 0.511277i \(0.170827\pi\)
−0.982454 + 0.186505i \(0.940284\pi\)
\(510\) −1646.14 599.146i −0.142926 0.0520209i
\(511\) −1653.03 + 1387.06i −0.143103 + 0.120078i
\(512\) 512.000 0.0441942
\(513\) 12037.2 59.3112i 1.03597 0.00510458i
\(514\) 8683.35 0.745148
\(515\) 1091.19 915.616i 0.0933660 0.0783434i
\(516\) −1458.61 530.892i −0.124442 0.0452931i
\(517\) −307.280 + 1742.67i −0.0261396 + 0.148245i
\(518\) 396.405 + 2248.13i 0.0336236 + 0.190689i
\(519\) 1351.44 491.886i 0.114300 0.0416019i
\(520\) −154.083 + 266.880i −0.0129942 + 0.0225066i
\(521\) −6690.70 11588.6i −0.562620 0.974486i −0.997267 0.0738851i \(-0.976460\pi\)
0.434647 0.900601i \(-0.356873\pi\)
\(522\) −259.400 217.663i −0.0217503 0.0182506i
\(523\) −9579.15 8037.86i −0.800893 0.672029i 0.147523 0.989059i \(-0.452870\pi\)
−0.948416 + 0.317030i \(0.897314\pi\)
\(524\) −3551.67 6151.67i −0.296098 0.512857i
\(525\) −846.413 + 1466.03i −0.0703629 + 0.121872i
\(526\) −11511.5 + 4189.83i −0.954228 + 0.347310i
\(527\) 2983.83 + 16922.2i 0.246637 + 1.39875i
\(528\) −52.6402 + 298.537i −0.00433877 + 0.0246064i
\(529\) 10278.8 + 3741.16i 0.844806 + 0.307484i
\(530\) −255.437 + 214.337i −0.0209348 + 0.0175664i
\(531\) 1437.10 0.117448
\(532\) −883.471 + 326.496i −0.0719987 + 0.0266079i
\(533\) −1062.82 −0.0863709
\(534\) −10774.6 + 9040.95i −0.873150 + 0.732660i
\(535\) −1609.17 585.689i −0.130038 0.0473300i
\(536\) 124.544 706.323i 0.0100363 0.0569189i
\(537\) −3440.43 19511.6i −0.276472 1.56795i
\(538\) −11151.4 + 4058.79i −0.893630 + 0.325255i
\(539\) 636.664 1102.73i 0.0508777 0.0881227i
\(540\) −683.088 1183.14i −0.0544360 0.0942859i
\(541\) −3292.32 2762.58i −0.261641 0.219543i 0.502525 0.864563i \(-0.332405\pi\)
−0.764166 + 0.645020i \(0.776849\pi\)
\(542\) 9943.87 + 8343.90i 0.788055 + 0.661257i
\(543\) 1722.37 + 2983.23i 0.136121 + 0.235769i
\(544\) 1196.74 2072.82i 0.0943197 0.163367i
\(545\) 3312.34 1205.59i 0.260340 0.0947560i
\(546\) −80.6627 457.461i −0.00632243 0.0358563i
\(547\) 2938.44 16664.7i 0.229686 1.30262i −0.623834 0.781557i \(-0.714426\pi\)
0.853520 0.521059i \(-0.174463\pi\)
\(548\) 7125.43 + 2593.44i 0.555444 + 0.202165i
\(549\) 262.071 219.904i 0.0203733 0.0170952i
\(550\) −908.494 −0.0704333
\(551\) −6072.40 + 2244.12i −0.469498 + 0.173508i
\(552\) −1397.38 −0.107747
\(553\) −1795.44 + 1506.55i −0.138065 + 0.115850i
\(554\) 4462.42 + 1624.19i 0.342221 + 0.124558i
\(555\) −816.354 + 4629.77i −0.0624366 + 0.354095i
\(556\) −130.945 742.627i −0.00998798 0.0566446i
\(557\) 6235.19 2269.42i 0.474315 0.172637i −0.0937910 0.995592i \(-0.529899\pi\)
0.568106 + 0.822955i \(0.307676\pi\)
\(558\) −497.600 + 861.869i −0.0377511 + 0.0653867i
\(559\) 638.248 + 1105.48i 0.0482916 + 0.0836436i
\(560\) 81.8883 + 68.7124i 0.00617931 + 0.00518505i
\(561\) 1085.58 + 910.911i 0.0816993 + 0.0685538i
\(562\) 4657.08 + 8066.29i 0.349550 + 0.605438i
\(563\) 1810.93 3136.62i 0.135562 0.234800i −0.790250 0.612785i \(-0.790049\pi\)
0.925812 + 0.377984i \(0.123383\pi\)
\(564\) −8718.25 + 3173.18i −0.650894 + 0.236906i
\(565\) −427.953 2427.04i −0.0318657 0.180719i
\(566\) −1060.71 + 6015.57i −0.0787718 + 0.446737i
\(567\) 1778.89 + 647.461i 0.131757 + 0.0479556i
\(568\) −3868.39 + 3245.96i −0.285764 + 0.239784i
\(569\) 4576.86 0.337209 0.168604 0.985684i \(-0.446074\pi\)
0.168604 + 0.985684i \(0.446074\pi\)
\(570\) −1939.66 + 9.55732i −0.142532 + 0.000702302i
\(571\) 18109.2 1.32723 0.663614 0.748075i \(-0.269022\pi\)
0.663614 + 0.748075i \(0.269022\pi\)
\(572\) 190.970 160.243i 0.0139596 0.0117135i
\(573\) 10466.8 + 3809.59i 0.763099 + 0.277745i
\(574\) −64.0194 + 363.072i −0.00465525 + 0.0264013i
\(575\) −727.209 4124.21i −0.0527421 0.299115i
\(576\) 130.263 47.4120i 0.00942300 0.00342969i
\(577\) 748.863 1297.07i 0.0540304 0.0935835i −0.837745 0.546061i \(-0.816127\pi\)
0.891776 + 0.452478i \(0.149460\pi\)
\(578\) −681.509 1180.41i −0.0490433 0.0849456i
\(579\) −15273.6 12816.1i −1.09628 0.919891i
\(580\) 562.847 + 472.284i 0.0402947 + 0.0338113i
\(581\) 188.708 + 326.852i 0.0134749 + 0.0233393i
\(582\) −6580.65 + 11398.0i −0.468689 + 0.811792i
\(583\) 253.479 92.2589i 0.0180069 0.00655398i
\(584\) −1054.35 5979.53i −0.0747079 0.423689i
\(585\) −14.4885 + 82.1681i −0.00102397 + 0.00580724i
\(586\) 18148.9 + 6605.66i 1.27939 + 0.465661i
\(587\) 16119.6 13526.0i 1.13344 0.951068i 0.134235 0.990950i \(-0.457142\pi\)
0.999204 + 0.0398814i \(0.0126980\pi\)
\(588\) 6676.05 0.468224
\(589\) 9594.21 + 16430.2i 0.671176 + 1.14939i
\(590\) −3118.22 −0.217585
\(591\) 8008.86 6720.23i 0.557429 0.467738i
\(592\) −6035.93 2196.90i −0.419046 0.152520i
\(593\) −3697.11 + 20967.4i −0.256024 + 1.45198i 0.537407 + 0.843323i \(0.319404\pi\)
−0.793431 + 0.608660i \(0.791707\pi\)
\(594\) 191.913 + 1088.39i 0.0132564 + 0.0751806i
\(595\) 469.585 170.915i 0.0323548 0.0117762i
\(596\) 4957.10 8585.94i 0.340689 0.590090i
\(597\) −4713.17 8163.44i −0.323111 0.559644i
\(598\) 880.305 + 738.664i 0.0601979 + 0.0505121i
\(599\) −6005.51 5039.22i −0.409647 0.343735i 0.414561 0.910021i \(-0.363935\pi\)
−0.824208 + 0.566287i \(0.808379\pi\)
\(600\) −2381.61 4125.08i −0.162048 0.280676i
\(601\) 8038.35 13922.8i 0.545576 0.944965i −0.452995 0.891513i \(-0.649644\pi\)
0.998570 0.0534517i \(-0.0170223\pi\)
\(602\) 416.091 151.445i 0.0281704 0.0102532i
\(603\) −33.7201 191.236i −0.00227726 0.0129150i
\(604\) 615.394 3490.07i 0.0414570 0.235114i
\(605\) 2907.16 + 1058.12i 0.195360 + 0.0711052i
\(606\) 2217.01 1860.29i 0.148614 0.124702i
\(607\) −11810.5 −0.789741 −0.394870 0.918737i \(-0.629210\pi\)
−0.394870 + 0.918737i \(0.629210\pi\)
\(608\) 447.339 2612.18i 0.0298388 0.174240i
\(609\) −1107.53 −0.0736933
\(610\) −568.642 + 477.147i −0.0377437 + 0.0316707i
\(611\) 7169.58 + 2609.52i 0.474714 + 0.172782i
\(612\) 112.530 638.189i 0.00743260 0.0421524i
\(613\) −3885.03 22033.1i −0.255979 1.45173i −0.793548 0.608508i \(-0.791768\pi\)
0.537569 0.843220i \(-0.319343\pi\)
\(614\) 2388.06 869.182i 0.156961 0.0571292i
\(615\) −379.621 + 657.523i −0.0248907 + 0.0431120i
\(616\) −43.2379 74.8903i −0.00282809 0.00489840i
\(617\) 10051.0 + 8433.83i 0.655818 + 0.550297i 0.908830 0.417166i \(-0.136977\pi\)
−0.253012 + 0.967463i \(0.581421\pi\)
\(618\) −4628.14 3883.47i −0.301248 0.252777i
\(619\) 13291.3 + 23021.2i 0.863041 + 1.49483i 0.868980 + 0.494848i \(0.164776\pi\)
−0.00593889 + 0.999982i \(0.501890\pi\)
\(620\) 1079.69 1870.08i 0.0699379 0.121136i
\(621\) −4787.26 + 1742.42i −0.309350 + 0.112594i
\(622\) −1801.56 10217.1i −0.116135 0.658633i
\(623\) 696.730 3951.35i 0.0448056 0.254105i
\(624\) 1228.22 + 447.037i 0.0787954 + 0.0286792i
\(625\) 10406.5 8732.11i 0.666018 0.558855i
\(626\) 15542.7 0.992349
\(627\) 1477.12 + 529.401i 0.0940839 + 0.0337197i
\(628\) −4917.67 −0.312478
\(629\) −23002.4 + 19301.3i −1.45813 + 1.22352i
\(630\) 27.1970 + 9.89889i 0.00171993 + 0.000626002i
\(631\) −1680.72 + 9531.82i −0.106035 + 0.601356i 0.884766 + 0.466035i \(0.154318\pi\)
−0.990802 + 0.135321i \(0.956793\pi\)
\(632\) −1145.18 6494.66i −0.0720775 0.408772i
\(633\) 9678.90 3522.83i 0.607743 0.221201i
\(634\) 6527.45 11305.9i 0.408893 0.708224i
\(635\) −2776.33 4808.74i −0.173504 0.300518i
\(636\) 1083.40 + 909.083i 0.0675467 + 0.0566784i
\(637\) −4205.70 3529.00i −0.261595 0.219504i
\(638\) −297.189 514.747i −0.0184418 0.0319421i
\(639\) −683.617 + 1184.06i −0.0423215 + 0.0733031i
\(640\) −282.646 + 102.875i −0.0174571 + 0.00635387i
\(641\) −668.805 3792.98i −0.0412110 0.233719i 0.957244 0.289281i \(-0.0934161\pi\)
−0.998455 + 0.0555618i \(0.982305\pi\)
\(642\) −1261.22 + 7152.76i −0.0775335 + 0.439715i
\(643\) −18519.6 6740.58i −1.13583 0.413410i −0.295427 0.955365i \(-0.595462\pi\)
−0.840407 + 0.541955i \(0.817684\pi\)
\(644\) 305.363 256.230i 0.0186847 0.0156784i
\(645\) 911.888 0.0556675
\(646\) −9529.76 7916.73i −0.580408 0.482167i
\(647\) −15500.5 −0.941867 −0.470933 0.882169i \(-0.656083\pi\)
−0.470933 + 0.882169i \(0.656083\pi\)
\(648\) −4080.42 + 3423.88i −0.247368 + 0.207566i
\(649\) 2370.39 + 862.750i 0.143368 + 0.0521817i
\(650\) −680.200 + 3857.61i −0.0410456 + 0.232781i
\(651\) 565.221 + 3205.53i 0.0340288 + 0.192987i
\(652\) −1754.76 + 638.682i −0.105402 + 0.0383631i
\(653\) −14876.8 + 25767.4i −0.891538 + 1.54419i −0.0535073 + 0.998567i \(0.517040\pi\)
−0.838031 + 0.545622i \(0.816293\pi\)
\(654\) −7475.26 12947.5i −0.446951 0.774142i
\(655\) 3196.71 + 2682.36i 0.190696 + 0.160013i
\(656\) −794.665 666.803i −0.0472964 0.0396864i
\(657\) −821.963 1423.68i −0.0488095 0.0845405i
\(658\) 1323.31 2292.04i 0.0784011 0.135795i
\(659\) −20984.8 + 7637.83i −1.24044 + 0.451483i −0.877161 0.480197i \(-0.840565\pi\)
−0.363280 + 0.931680i \(0.618343\pi\)
\(660\) −30.9246 175.382i −0.00182385 0.0103436i
\(661\) −3187.21 + 18075.5i −0.187546 + 1.06363i 0.735094 + 0.677965i \(0.237138\pi\)
−0.922640 + 0.385662i \(0.873973\pi\)
\(662\) 15943.7 + 5803.03i 0.936057 + 0.340697i
\(663\) 4680.66 3927.54i 0.274180 0.230065i
\(664\) −1061.96 −0.0620665
\(665\) 422.112 357.753i 0.0246147 0.0208617i
\(666\) −1739.10 −0.101184
\(667\) 2098.86 1761.16i 0.121842 0.102237i
\(668\) 13497.3 + 4912.60i 0.781773 + 0.284542i
\(669\) −998.940 + 5665.27i −0.0577298 + 0.327402i
\(670\) 73.1660 + 414.945i 0.00421888 + 0.0239264i
\(671\) 564.284 205.383i 0.0324649 0.0118163i
\(672\) 226.696 392.649i 0.0130134 0.0225399i
\(673\) 9160.13 + 15865.8i 0.524661 + 0.908740i 0.999588 + 0.0287147i \(0.00914143\pi\)
−0.474926 + 0.880026i \(0.657525\pi\)
\(674\) −8473.73 7110.31i −0.484267 0.406348i
\(675\) −13302.8 11162.4i −0.758554 0.636502i
\(676\) 3856.56 + 6679.77i 0.219422 + 0.380050i
\(677\) −7740.26 + 13406.5i −0.439413 + 0.761086i −0.997644 0.0685998i \(-0.978147\pi\)
0.558231 + 0.829685i \(0.311480\pi\)
\(678\) −9822.41 + 3575.06i −0.556382 + 0.202507i
\(679\) −651.954 3697.41i −0.0368478 0.208974i
\(680\) −244.168 + 1384.74i −0.0137697 + 0.0780919i
\(681\) 3883.55 + 1413.50i 0.218529 + 0.0795379i
\(682\) −1338.17 + 1122.86i −0.0751337 + 0.0630447i
\(683\) −27505.7 −1.54096 −0.770481 0.637463i \(-0.779984\pi\)
−0.770481 + 0.637463i \(0.779984\pi\)
\(684\) −128.080 706.018i −0.00715975 0.0394668i
\(685\) −4454.63 −0.248471
\(686\) −2952.98 + 2477.85i −0.164352 + 0.137908i
\(687\) 23565.7 + 8577.23i 1.30872 + 0.476334i
\(688\) −216.352 + 1226.99i −0.0119889 + 0.0679924i
\(689\) −201.963 1145.39i −0.0111671 0.0633320i
\(690\) 771.413 280.771i 0.0425611 0.0154910i
\(691\) 17033.7 29503.2i 0.937761 1.62425i 0.168125 0.985766i \(-0.446229\pi\)
0.769635 0.638484i \(-0.220438\pi\)
\(692\) −577.190 999.723i −0.0317073 0.0549187i
\(693\) −17.9356 15.0498i −0.000983142 0.000824954i
\(694\) 14262.5 + 11967.6i 0.780110 + 0.654590i
\(695\) 221.501 + 383.651i 0.0120892 + 0.0209392i
\(696\) 1558.16 2698.82i 0.0848592 0.146980i
\(697\) −4556.98 + 1658.60i −0.247644 + 0.0901350i
\(698\) −3006.84 17052.6i −0.163052 0.924716i
\(699\) −1080.72 + 6129.09i −0.0584789 + 0.331650i
\(700\) 1276.84 + 464.730i 0.0689426 + 0.0250931i
\(701\) 24756.7 20773.3i 1.33387 1.11925i 0.350719 0.936481i \(-0.385937\pi\)
0.983155 0.182773i \(-0.0585072\pi\)
\(702\) 4765.17 0.256196
\(703\) −16482.0 + 28875.4i −0.884256 + 1.54915i
\(704\) 243.323 0.0130264
\(705\) 4175.26 3503.46i 0.223049 0.187160i
\(706\) −5906.41 2149.76i −0.314859 0.114599i
\(707\) −143.361 + 813.041i −0.00762609 + 0.0432497i
\(708\) 2296.59 + 13024.6i 0.121908 + 0.691376i
\(709\) 11701.6 4259.03i 0.619834 0.225601i −0.0129667 0.999916i \(-0.504128\pi\)
0.632801 + 0.774315i \(0.281905\pi\)
\(710\) 1483.31 2569.17i 0.0784052 0.135802i
\(711\) −892.775 1546.33i −0.0470909 0.0815639i
\(712\) 8648.43 + 7256.89i 0.455216 + 0.381971i
\(713\) −6168.48 5175.97i −0.323999 0.271868i
\(714\) −1059.75 1835.55i −0.0555467 0.0962097i
\(715\) −73.2266 + 126.832i −0.00383010 + 0.00663393i
\(716\) −14943.9 + 5439.14i −0.780001 + 0.283897i
\(717\) −4091.71 23205.2i −0.213121 1.20867i
\(718\) 1935.07 10974.4i 0.100580 0.570417i
\(719\) −17348.1 6314.18i −0.899825 0.327509i −0.149642 0.988740i \(-0.547812\pi\)
−0.750183 + 0.661231i \(0.770034\pi\)
\(720\) −62.3846 + 52.3469i −0.00322908 + 0.00270952i
\(721\) 1723.46 0.0890220
\(722\) −12936.3 4564.57i −0.666814 0.235285i
\(723\) −2014.28 −0.103612
\(724\) 2118.10 1777.30i 0.108727 0.0912330i
\(725\) 8776.13 + 3194.25i 0.449569 + 0.163630i
\(726\) 2278.55 12922.3i 0.116481 0.660596i
\(727\) −4237.82 24033.8i −0.216192 1.22609i −0.878825 0.477144i \(-0.841672\pi\)
0.662633 0.748944i \(-0.269439\pi\)
\(728\) −350.369 + 127.524i −0.0178373 + 0.00649223i
\(729\) −10499.3 + 18185.2i −0.533417 + 0.923906i
\(730\) 1783.50 + 3089.11i 0.0904248 + 0.156620i
\(731\) 4461.76 + 3743.86i 0.225751 + 0.189428i
\(732\) 2411.82 + 2023.76i 0.121781 + 0.102186i
\(733\) 8876.56 + 15374.7i 0.447290 + 0.774728i 0.998209 0.0598303i \(-0.0190560\pi\)
−0.550919 + 0.834559i \(0.685723\pi\)
\(734\) 755.678 1308.87i 0.0380008 0.0658193i
\(735\) −3685.47 + 1341.40i −0.184953 + 0.0673174i
\(736\) 194.770 + 1104.59i 0.00975449 + 0.0553205i
\(737\) 59.1884 335.674i 0.00295825 0.0167771i
\(738\) −263.926 96.0614i −0.0131643 0.00479142i
\(739\) 624.792 524.263i 0.0311006 0.0260965i −0.627105 0.778935i \(-0.715760\pi\)
0.658205 + 0.752838i \(0.271316\pi\)
\(740\) 3773.50 0.187455
\(741\) 3353.86 5875.72i 0.166271 0.291296i
\(742\) −403.444 −0.0199608
\(743\) 2007.61 1684.58i 0.0991278 0.0831781i −0.591877 0.806028i \(-0.701613\pi\)
0.691005 + 0.722850i \(0.257168\pi\)
\(744\) −8606.42 3132.48i −0.424095 0.154358i
\(745\) −1011.38 + 5735.82i −0.0497370 + 0.282073i
\(746\) 174.484 + 989.547i 0.00856341 + 0.0485655i
\(747\) −270.186 + 98.3395i −0.0132337 + 0.00481667i
\(748\) 568.742 985.089i 0.0278011 0.0481530i
\(749\) −1035.95 1794.32i −0.0505379 0.0875341i
\(750\) 4386.26 + 3680.51i 0.213551 + 0.179191i
\(751\) 9806.84 + 8228.91i 0.476507 + 0.399837i 0.849161 0.528133i \(-0.177108\pi\)
−0.372655 + 0.927970i \(0.621552\pi\)
\(752\) 3723.49 + 6449.27i 0.180561 + 0.312740i
\(753\) 15834.9 27426.8i 0.766341 1.32734i
\(754\) −2408.20 + 876.515i −0.116315 + 0.0423353i
\(755\) 361.526 + 2050.32i 0.0174269 + 0.0988327i
\(756\) 287.033 1627.84i 0.0138086 0.0783123i
\(757\) 3759.02 + 1368.17i 0.180481 + 0.0656896i 0.430680 0.902505i \(-0.358274\pi\)
−0.250199 + 0.968194i \(0.580496\pi\)
\(758\) 3134.34 2630.02i 0.150191 0.126025i
\(759\) −664.092 −0.0317589
\(760\) 277.908 + 1531.92i 0.0132642 + 0.0731165i
\(761\) −12934.0 −0.616104 −0.308052 0.951369i \(-0.599677\pi\)
−0.308052 + 0.951369i \(0.599677\pi\)
\(762\) −18041.0 + 15138.2i −0.857687 + 0.719685i
\(763\) 4007.65 + 1458.67i 0.190153 + 0.0692100i
\(764\) 1552.51 8804.71i 0.0735180 0.416941i
\(765\) 66.1081 + 374.918i 0.00312437 + 0.0177192i
\(766\) 10030.9 3650.96i 0.473149 0.172212i
\(767\) 5438.11 9419.08i 0.256009 0.443420i
\(768\) 637.872 + 1104.83i 0.0299703 + 0.0519101i
\(769\) 22976.5 + 19279.5i 1.07744 + 0.904081i