Properties

Label 43.5.h.a.29.1
Level 43
Weight 5
Character 43.29
Analytic conductor 4.445
Analytic rank 0
Dimension 168
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 5 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.44490841261\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(14\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 29.1
Character \(\chi\) \(=\) 43.29
Dual form 43.5.h.a.3.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.21040 - 6.66647i) q^{2} +(13.4095 - 1.00491i) q^{3} +(-24.1593 + 30.2948i) q^{4} +(-6.13495 - 19.8890i) q^{5} +(-49.7491 - 86.1681i) q^{6} +(-69.5021 - 40.1271i) q^{7} +(164.101 + 37.4550i) q^{8} +(98.7103 - 14.8782i) q^{9} +O(q^{10})\) \(q+(-3.21040 - 6.66647i) q^{2} +(13.4095 - 1.00491i) q^{3} +(-24.1593 + 30.2948i) q^{4} +(-6.13495 - 19.8890i) q^{5} +(-49.7491 - 86.1681i) q^{6} +(-69.5021 - 40.1271i) q^{7} +(164.101 + 37.4550i) q^{8} +(98.7103 - 14.8782i) q^{9} +(-112.894 + 104.750i) q^{10} +(-66.3060 - 83.1451i) q^{11} +(-293.521 + 430.517i) q^{12} +(54.4014 + 50.4771i) q^{13} +(-44.3761 + 592.158i) q^{14} +(-102.253 - 260.537i) q^{15} +(-139.180 - 609.788i) q^{16} +(499.214 + 153.987i) q^{17} +(-416.085 - 610.284i) q^{18} +(54.5780 - 362.101i) q^{19} +(750.750 + 294.648i) q^{20} +(-972.314 - 468.242i) q^{21} +(-341.415 + 708.956i) q^{22} +(51.1748 - 130.391i) q^{23} +(2238.16 + 337.348i) q^{24} +(158.464 - 108.039i) q^{25} +(161.854 - 524.717i) q^{26} +(246.799 - 56.3302i) q^{27} +(2894.76 - 1136.11i) q^{28} +(-514.892 - 38.5858i) q^{29} +(-1408.59 + 1518.10i) q^{30} +(495.679 + 337.948i) q^{31} +(-1512.73 + 1206.36i) q^{32} +(-972.685 - 1048.31i) q^{33} +(-576.128 - 3822.36i) q^{34} +(-371.696 + 1628.51i) q^{35} +(-1934.04 + 3349.85i) q^{36} +(-350.877 + 202.579i) q^{37} +(-2589.15 + 798.648i) q^{38} +(780.221 + 622.206i) q^{39} +(-261.809 - 3493.59i) q^{40} +(2387.87 - 1149.94i) q^{41} +7985.15i q^{42} +(762.311 - 1684.54i) q^{43} +4120.77 q^{44} +(-901.495 - 1871.97i) q^{45} +(-1033.54 + 77.4531i) q^{46} +(-998.888 + 1252.57i) q^{47} +(-2479.12 - 8037.11i) q^{48} +(2019.86 + 3498.51i) q^{49} +(-1228.97 - 709.547i) q^{50} +(6848.97 + 1563.23i) q^{51} +(-2843.49 + 428.587i) q^{52} +(-801.577 + 743.755i) q^{53} +(-1167.85 - 1464.43i) q^{54} +(-1246.89 + 1828.85i) q^{55} +(-9902.41 - 9188.09i) q^{56} +(367.987 - 4910.45i) q^{57} +(1395.78 + 3556.39i) q^{58} +(709.624 + 3109.07i) q^{59} +(10363.3 + 3196.65i) q^{60} +(-1041.63 - 1527.79i) q^{61} +(661.592 - 4389.38i) q^{62} +(-7457.59 - 2926.89i) q^{63} +(3882.17 + 1869.56i) q^{64} +(670.190 - 1391.66i) q^{65} +(-3865.78 + 9849.86i) q^{66} +(-2283.23 - 344.141i) q^{67} +(-16725.7 + 11403.4i) q^{68} +(555.198 - 1799.91i) q^{69} +(12049.7 - 2750.26i) q^{70} +(7451.17 - 2924.37i) q^{71} +(16755.7 + 1255.67i) q^{72} +(-1307.67 + 1409.33i) q^{73} +(2476.94 + 1688.75i) q^{74} +(2016.36 - 1607.99i) q^{75} +(9651.21 + 10401.5i) q^{76} +(1272.04 + 8439.42i) q^{77} +(1643.09 - 7198.85i) q^{78} +(-1284.20 + 2224.29i) q^{79} +(-11274.2 + 6509.18i) q^{80} +(-4473.77 + 1379.97i) q^{81} +(-15332.0 - 12226.9i) q^{82} +(-62.5813 - 835.090i) q^{83} +(37675.7 - 18143.7i) q^{84} -10873.6i q^{85} +(-13677.3 + 326.132i) q^{86} -6943.24 q^{87} +(-7766.68 - 16127.7i) q^{88} +(-4911.24 + 368.047i) q^{89} +(-9585.29 + 12019.6i) q^{90} +(-1755.51 - 5691.23i) q^{91} +(2713.83 + 4700.49i) q^{92} +(6986.42 + 4033.61i) q^{93} +(11557.0 + 2637.82i) q^{94} +(-7536.67 + 1135.97i) q^{95} +(-19072.7 + 17696.9i) q^{96} +(6215.93 + 7794.53i) q^{97} +(16838.1 - 24697.0i) q^{98} +(-7782.13 - 7220.76i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} + O(q^{10}) \) \( 168q - 14q^{2} - 20q^{3} + 220q^{4} - 11q^{5} - 22q^{6} - 150q^{7} + 322q^{8} - 660q^{9} - 105q^{10} + 362q^{11} + 1124q^{12} - 166q^{13} - 876q^{14} + 1157q^{15} - 2752q^{16} - 37q^{17} + 988q^{18} - 1004q^{19} + 1909q^{20} - 2265q^{21} + 2338q^{22} - 976q^{23} + 3016q^{24} - 2199q^{25} + 1957q^{26} - 14q^{27} + 2022q^{28} + 571q^{29} - 7896q^{30} - 7476q^{31} + 21616q^{32} - 2900q^{33} - 1559q^{34} - 1623q^{35} - 9123q^{36} - 11949q^{37} - 19394q^{38} + 175q^{39} - 10317q^{40} - 4162q^{41} + 1005q^{43} + 744q^{44} + 16632q^{45} + 34415q^{46} + 8486q^{47} + 37831q^{48} + 20918q^{49} + 14433q^{50} + 25270q^{51} - 40864q^{52} - 7522q^{53} + 23330q^{54} - 30896q^{55} - 38943q^{56} + 14884q^{57} - 2644q^{58} - 2743q^{59} - 15231q^{60} - 164q^{61} + 15097q^{62} - 22771q^{63} - 7274q^{64} + 19138q^{65} + 16631q^{66} - 31599q^{67} - 17923q^{68} + 49515q^{69} + 69209q^{70} - 2057q^{71} + 62621q^{72} - 19678q^{73} - 86988q^{74} - 28525q^{75} - 38694q^{76} - 65721q^{77} - 112636q^{78} - 293q^{79} - 99738q^{80} - 38860q^{81} - 40460q^{82} - 45580q^{83} - 28041q^{84} + 6292q^{86} + 2598q^{87} + 48902q^{88} + 83608q^{89} + 180383q^{90} + 62161q^{91} + 39390q^{92} + 203670q^{93} + 199878q^{94} - 20897q^{95} + 59662q^{96} + 93627q^{97} - 40724q^{98} + 26734q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{41}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.21040 6.66647i −0.802601 1.66662i −0.743852 0.668345i \(-0.767003\pi\)
−0.0587487 0.998273i \(-0.518711\pi\)
\(3\) 13.4095 1.00491i 1.48995 0.111656i 0.695297 0.718723i \(-0.255273\pi\)
0.794651 + 0.607067i \(0.207654\pi\)
\(4\) −24.1593 + 30.2948i −1.50996 + 1.89342i
\(5\) −6.13495 19.8890i −0.245398 0.795561i −0.991543 0.129777i \(-0.958574\pi\)
0.746145 0.665783i \(-0.231902\pi\)
\(6\) −49.7491 86.1681i −1.38192 2.39356i
\(7\) −69.5021 40.1271i −1.41841 0.818920i −0.422251 0.906479i \(-0.638760\pi\)
−0.996159 + 0.0875591i \(0.972093\pi\)
\(8\) 164.101 + 37.4550i 2.56408 + 0.585234i
\(9\) 98.7103 14.8782i 1.21865 0.183681i
\(10\) −112.894 + 104.750i −1.12894 + 1.04750i
\(11\) −66.3060 83.1451i −0.547983 0.687149i 0.428302 0.903636i \(-0.359112\pi\)
−0.976286 + 0.216486i \(0.930540\pi\)
\(12\) −293.521 + 430.517i −2.03834 + 2.98970i
\(13\) 54.4014 + 50.4771i 0.321902 + 0.298681i 0.824526 0.565824i \(-0.191442\pi\)
−0.502625 + 0.864505i \(0.667632\pi\)
\(14\) −44.3761 + 592.158i −0.226409 + 3.02121i
\(15\) −102.253 260.537i −0.454459 1.15794i
\(16\) −139.180 609.788i −0.543673 2.38199i
\(17\) 499.214 + 153.987i 1.72738 + 0.532828i 0.989805 0.142432i \(-0.0454922\pi\)
0.737580 + 0.675260i \(0.235968\pi\)
\(18\) −416.085 610.284i −1.28421 1.88359i
\(19\) 54.5780 362.101i 0.151185 1.00305i −0.776616 0.629975i \(-0.783065\pi\)
0.927801 0.373075i \(-0.121697\pi\)
\(20\) 750.750 + 294.648i 1.87687 + 0.736619i
\(21\) −972.314 468.242i −2.20479 1.06177i
\(22\) −341.415 + 708.956i −0.705403 + 1.46479i
\(23\) 51.1748 130.391i 0.0967387 0.246486i −0.874310 0.485368i \(-0.838686\pi\)
0.971049 + 0.238882i \(0.0767809\pi\)
\(24\) 2238.16 + 337.348i 3.88569 + 0.585673i
\(25\) 158.464 108.039i 0.253542 0.172862i
\(26\) 161.854 524.717i 0.239429 0.776208i
\(27\) 246.799 56.3302i 0.338544 0.0772705i
\(28\) 2894.76 1136.11i 3.69230 1.44912i
\(29\) −514.892 38.5858i −0.612238 0.0458809i −0.234997 0.971996i \(-0.575508\pi\)
−0.377241 + 0.926115i \(0.623127\pi\)
\(30\) −1408.59 + 1518.10i −1.56510 + 1.68678i
\(31\) 495.679 + 337.948i 0.515795 + 0.351663i 0.793073 0.609127i \(-0.208480\pi\)
−0.277278 + 0.960790i \(0.589432\pi\)
\(32\) −1512.73 + 1206.36i −1.47727 + 1.17809i
\(33\) −972.685 1048.31i −0.893191 0.962631i
\(34\) −576.128 3822.36i −0.498380 3.30654i
\(35\) −371.696 + 1628.51i −0.303425 + 1.32939i
\(36\) −1934.04 + 3349.85i −1.49231 + 2.58476i
\(37\) −350.877 + 202.579i −0.256302 + 0.147976i −0.622646 0.782503i \(-0.713942\pi\)
0.366345 + 0.930479i \(0.380609\pi\)
\(38\) −2589.15 + 798.648i −1.79304 + 0.553080i
\(39\) 780.221 + 622.206i 0.512966 + 0.409077i
\(40\) −261.809 3493.59i −0.163630 2.18350i
\(41\) 2387.87 1149.94i 1.42050 0.684079i 0.443298 0.896374i \(-0.353808\pi\)
0.977205 + 0.212296i \(0.0680940\pi\)
\(42\) 7985.15i 4.52673i
\(43\) 762.311 1684.54i 0.412283 0.911056i
\(44\) 4120.77 2.12850
\(45\) −901.495 1871.97i −0.445183 0.924431i
\(46\) −1033.54 + 77.4531i −0.488440 + 0.0366036i
\(47\) −998.888 + 1252.57i −0.452190 + 0.567029i −0.954710 0.297537i \(-0.903835\pi\)
0.502520 + 0.864566i \(0.332406\pi\)
\(48\) −2479.12 8037.11i −1.07601 3.48833i
\(49\) 2019.86 + 3498.51i 0.841259 + 1.45710i
\(50\) −1228.97 709.547i −0.491588 0.283819i
\(51\) 6848.97 + 1563.23i 2.63321 + 0.601012i
\(52\) −2843.49 + 428.587i −1.05159 + 0.158501i
\(53\) −801.577 + 743.755i −0.285360 + 0.264776i −0.809845 0.586644i \(-0.800449\pi\)
0.524484 + 0.851420i \(0.324258\pi\)
\(54\) −1167.85 1464.43i −0.400496 0.502206i
\(55\) −1246.89 + 1828.85i −0.412195 + 0.604579i
\(56\) −9902.41 9188.09i −3.15766 2.92988i
\(57\) 367.987 4910.45i 0.113262 1.51137i
\(58\) 1395.78 + 3556.39i 0.414917 + 1.05719i
\(59\) 709.624 + 3109.07i 0.203856 + 0.893153i 0.968562 + 0.248773i \(0.0800274\pi\)
−0.764705 + 0.644380i \(0.777115\pi\)
\(60\) 10363.3 + 3196.65i 2.87869 + 0.887959i
\(61\) −1041.63 1527.79i −0.279933 0.410586i 0.660362 0.750948i \(-0.270403\pi\)
−0.940295 + 0.340362i \(0.889451\pi\)
\(62\) 661.592 4389.38i 0.172110 1.14188i
\(63\) −7457.59 2926.89i −1.87896 0.737437i
\(64\) 3882.17 + 1869.56i 0.947796 + 0.456435i
\(65\) 670.190 1391.66i 0.158625 0.329388i
\(66\) −3865.78 + 9849.86i −0.887462 + 2.26122i
\(67\) −2283.23 344.141i −0.508628 0.0766633i −0.110285 0.993900i \(-0.535176\pi\)
−0.398343 + 0.917237i \(0.630414\pi\)
\(68\) −16725.7 + 11403.4i −3.61714 + 2.46613i
\(69\) 555.198 1799.91i 0.116614 0.378053i
\(70\) 12049.7 2750.26i 2.45912 0.561278i
\(71\) 7451.17 2924.37i 1.47811 0.580117i 0.516930 0.856028i \(-0.327075\pi\)
0.961183 + 0.275911i \(0.0889794\pi\)
\(72\) 16755.7 + 1255.67i 3.23220 + 0.242220i
\(73\) −1307.67 + 1409.33i −0.245387 + 0.264465i −0.843721 0.536783i \(-0.819639\pi\)
0.598333 + 0.801247i \(0.295830\pi\)
\(74\) 2476.94 + 1688.75i 0.452327 + 0.308391i
\(75\) 2016.36 1607.99i 0.358464 0.285865i
\(76\) 9651.21 + 10401.5i 1.67092 + 1.80082i
\(77\) 1272.04 + 8439.42i 0.214545 + 1.42341i
\(78\) 1643.09 7198.85i 0.270068 1.18324i
\(79\) −1284.20 + 2224.29i −0.205768 + 0.356400i −0.950377 0.311100i \(-0.899303\pi\)
0.744609 + 0.667501i \(0.232636\pi\)
\(80\) −11274.2 + 6509.18i −1.76160 + 1.01706i
\(81\) −4473.77 + 1379.97i −0.681873 + 0.210330i
\(82\) −15332.0 12226.9i −2.28019 1.81839i
\(83\) −62.5813 835.090i −0.00908424 0.121221i 0.990818 0.135202i \(-0.0431684\pi\)
−0.999902 + 0.0139815i \(0.995549\pi\)
\(84\) 37675.7 18143.7i 5.33953 2.57138i
\(85\) 10873.6i 1.50499i
\(86\) −13677.3 + 326.132i −1.84928 + 0.0440957i
\(87\) −6943.24 −0.917326
\(88\) −7766.68 16127.7i −1.00293 2.08260i
\(89\) −4911.24 + 368.047i −0.620028 + 0.0464647i −0.381041 0.924558i \(-0.624434\pi\)
−0.238987 + 0.971023i \(0.576815\pi\)
\(90\) −9585.29 + 12019.6i −1.18337 + 1.48390i
\(91\) −1755.51 5691.23i −0.211993 0.687264i
\(92\) 2713.83 + 4700.49i 0.320632 + 0.555350i
\(93\) 6986.42 + 4033.61i 0.807772 + 0.466368i
\(94\) 11557.0 + 2637.82i 1.30795 + 0.298531i
\(95\) −7536.67 + 1135.97i −0.835088 + 0.125869i
\(96\) −19072.7 + 17696.9i −2.06952 + 1.92023i
\(97\) 6215.93 + 7794.53i 0.660637 + 0.828413i 0.993412 0.114594i \(-0.0365566\pi\)
−0.332776 + 0.943006i \(0.607985\pi\)
\(98\) 16838.1 24697.0i 1.75324 2.57153i
\(99\) −7782.13 7220.76i −0.794014 0.736737i
\(100\) −555.361 + 7410.78i −0.0555361 + 0.741078i
\(101\) 6408.96 + 16329.8i 0.628268 + 1.60080i 0.789408 + 0.613869i \(0.210388\pi\)
−0.161140 + 0.986932i \(0.551517\pi\)
\(102\) −11566.7 50677.0i −1.11176 4.87092i
\(103\) −9093.55 2804.99i −0.857154 0.264397i −0.165130 0.986272i \(-0.552804\pi\)
−0.692024 + 0.721875i \(0.743281\pi\)
\(104\) 7036.70 + 10320.9i 0.650583 + 0.954229i
\(105\) −3347.77 + 22211.0i −0.303653 + 2.01460i
\(106\) 7531.60 + 2955.94i 0.670310 + 0.263077i
\(107\) 820.371 + 395.070i 0.0716544 + 0.0345069i 0.469368 0.883003i \(-0.344482\pi\)
−0.397713 + 0.917510i \(0.630196\pi\)
\(108\) −4255.97 + 8837.61i −0.364881 + 0.757683i
\(109\) −3775.53 + 9619.89i −0.317779 + 0.809687i 0.679339 + 0.733824i \(0.262266\pi\)
−0.997118 + 0.0758630i \(0.975829\pi\)
\(110\) 16195.0 + 2441.00i 1.33843 + 0.201736i
\(111\) −4501.52 + 3069.09i −0.365354 + 0.249094i
\(112\) −14795.7 + 47966.5i −1.17950 + 3.82386i
\(113\) 13646.6 3114.74i 1.06873 0.243930i 0.348245 0.937403i \(-0.386778\pi\)
0.720482 + 0.693473i \(0.243921\pi\)
\(114\) −33916.8 + 13311.3i −2.60978 + 1.02426i
\(115\) −2907.31 217.872i −0.219834 0.0164743i
\(116\) 13608.4 14666.4i 1.01132 1.08995i
\(117\) 6120.98 + 4173.22i 0.447146 + 0.304859i
\(118\) 18448.3 14712.0i 1.32493 1.05660i
\(119\) −28517.4 30734.4i −2.01380 2.17036i
\(120\) −7021.46 46584.3i −0.487601 3.23502i
\(121\) 741.308 3247.88i 0.0506324 0.221835i
\(122\) −6840.92 + 11848.8i −0.459616 + 0.796078i
\(123\) 30864.6 17819.7i 2.04009 1.17785i
\(124\) −22213.3 + 6851.90i −1.44467 + 0.445623i
\(125\) −13291.5 10599.6i −0.850654 0.678374i
\(126\) 4429.85 + 59112.3i 0.279028 + 3.72337i
\(127\) −2419.09 + 1164.97i −0.149984 + 0.0722286i −0.507370 0.861728i \(-0.669382\pi\)
0.357386 + 0.933957i \(0.383668\pi\)
\(128\) 924.773i 0.0564437i
\(129\) 8529.43 23355.0i 0.512555 1.40346i
\(130\) −11429.1 −0.676276
\(131\) 6692.30 + 13896.7i 0.389971 + 0.809784i 0.999851 + 0.0172894i \(0.00550366\pi\)
−0.609879 + 0.792494i \(0.708782\pi\)
\(132\) 55257.6 4140.98i 3.17135 0.237660i
\(133\) −18323.3 + 22976.7i −1.03586 + 1.29893i
\(134\) 5035.88 + 16325.9i 0.280456 + 0.909218i
\(135\) −2634.45 4563.00i −0.144551 0.250370i
\(136\) 76154.0 + 43967.5i 4.11732 + 2.37714i
\(137\) 6671.48 + 1522.72i 0.355452 + 0.0811296i 0.396518 0.918027i \(-0.370218\pi\)
−0.0410663 + 0.999156i \(0.513075\pi\)
\(138\) −13781.5 + 2077.22i −0.723664 + 0.109075i
\(139\) 5960.00 5530.07i 0.308473 0.286221i −0.510711 0.859753i \(-0.670618\pi\)
0.819183 + 0.573532i \(0.194427\pi\)
\(140\) −40355.3 50604.0i −2.05895 2.58184i
\(141\) −12135.9 + 17800.1i −0.610428 + 0.895333i
\(142\) −43416.5 40284.6i −2.15317 1.99785i
\(143\) 589.785 7870.14i 0.0288418 0.384867i
\(144\) −22811.1 58121.6i −1.10007 2.80293i
\(145\) 2391.40 + 10477.4i 0.113741 + 0.498332i
\(146\) 13593.4 + 4193.01i 0.637710 + 0.196707i
\(147\) 30601.1 + 44883.5i 1.41613 + 2.07708i
\(148\) 2339.85 15523.9i 0.106823 0.708725i
\(149\) 15310.2 + 6008.79i 0.689615 + 0.270654i 0.684161 0.729331i \(-0.260169\pi\)
0.00545440 + 0.999985i \(0.498264\pi\)
\(150\) −17192.9 8279.69i −0.764131 0.367986i
\(151\) 11232.5 23324.5i 0.492632 1.02296i −0.495393 0.868669i \(-0.664976\pi\)
0.988025 0.154292i \(-0.0493096\pi\)
\(152\) 22518.8 57376.9i 0.974671 2.48342i
\(153\) 51568.6 + 7772.72i 2.20294 + 0.332040i
\(154\) 52177.4 35574.0i 2.20009 1.50000i
\(155\) 3680.49 11931.9i 0.153194 0.496643i
\(156\) −37699.2 + 8604.59i −1.54911 + 0.353575i
\(157\) −29395.3 + 11536.8i −1.19255 + 0.468043i −0.876827 0.480807i \(-0.840344\pi\)
−0.315728 + 0.948850i \(0.602249\pi\)
\(158\) 18951.0 + 1420.18i 0.759132 + 0.0568891i
\(159\) −10001.4 + 10778.9i −0.395608 + 0.426364i
\(160\) 33273.8 + 22685.7i 1.29976 + 0.886161i
\(161\) −8788.97 + 7008.97i −0.339067 + 0.270397i
\(162\) 23562.1 + 25394.0i 0.897811 + 0.967610i
\(163\) −290.469 1927.14i −0.0109326 0.0725332i 0.982699 0.185209i \(-0.0592961\pi\)
−0.993632 + 0.112675i \(0.964058\pi\)
\(164\) −22852.1 + 100122.i −0.849647 + 3.72255i
\(165\) −14882.4 + 25777.0i −0.546644 + 0.946815i
\(166\) −5366.19 + 3098.17i −0.194738 + 0.112432i
\(167\) 8936.49 2756.54i 0.320431 0.0988398i −0.130367 0.991466i \(-0.541616\pi\)
0.450798 + 0.892626i \(0.351139\pi\)
\(168\) −142020. 113257.i −5.03188 4.01279i
\(169\) −1722.79 22989.1i −0.0603198 0.804912i
\(170\) −72488.4 + 34908.6i −2.50825 + 1.20791i
\(171\) 36555.1i 1.25013i
\(172\) 32616.0 + 63791.4i 1.10249 + 2.15628i
\(173\) 46317.7 1.54759 0.773793 0.633439i \(-0.218357\pi\)
0.773793 + 0.633439i \(0.218357\pi\)
\(174\) 22290.6 + 46286.9i 0.736246 + 1.52883i
\(175\) −15348.9 + 1150.24i −0.501187 + 0.0375588i
\(176\) −41472.4 + 52004.8i −1.33886 + 1.67887i
\(177\) 12640.0 + 40978.0i 0.403461 + 1.30799i
\(178\) 18220.6 + 31559.1i 0.575074 + 0.996057i
\(179\) −26810.2 15478.9i −0.836748 0.483097i 0.0194095 0.999812i \(-0.493821\pi\)
−0.856158 + 0.516715i \(0.827155\pi\)
\(180\) 78490.5 + 17915.0i 2.42255 + 0.552931i
\(181\) −4923.45 + 742.091i −0.150284 + 0.0226516i −0.223753 0.974646i \(-0.571831\pi\)
0.0734694 + 0.997297i \(0.476593\pi\)
\(182\) −32304.5 + 29974.2i −0.975260 + 0.904909i
\(183\) −15503.1 19440.2i −0.462930 0.580495i
\(184\) 13281.6 19480.6i 0.392298 0.575395i
\(185\) 6181.71 + 5735.79i 0.180620 + 0.167591i
\(186\) 4460.73 59524.3i 0.128938 1.72055i
\(187\) −20297.6 51717.5i −0.580446 1.47895i
\(188\) −13813.8 60522.2i −0.390839 1.71238i
\(189\) −19413.4 5988.24i −0.543473 0.167639i
\(190\) 31768.6 + 46596.0i 0.880018 + 1.29075i
\(191\) 4195.51 27835.4i 0.115005 0.763010i −0.854769 0.519008i \(-0.826301\pi\)
0.969775 0.244002i \(-0.0784604\pi\)
\(192\) 53936.8 + 21168.7i 1.46313 + 0.574236i
\(193\) −37192.1 17910.8i −0.998473 0.480839i −0.138053 0.990425i \(-0.544084\pi\)
−0.860420 + 0.509586i \(0.829799\pi\)
\(194\) 32006.4 66461.9i 0.850419 1.76591i
\(195\) 7588.44 19335.0i 0.199565 0.508482i
\(196\) −154785. 23330.1i −4.02918 0.607301i
\(197\) 20657.3 14083.9i 0.532281 0.362903i −0.267156 0.963653i \(-0.586084\pi\)
0.799437 + 0.600751i \(0.205132\pi\)
\(198\) −23153.2 + 75060.9i −0.590583 + 1.91462i
\(199\) −9470.22 + 2161.52i −0.239141 + 0.0545823i −0.340411 0.940277i \(-0.610566\pi\)
0.101271 + 0.994859i \(0.467709\pi\)
\(200\) 30050.7 11794.0i 0.751267 0.294851i
\(201\) −30962.9 2320.35i −0.766388 0.0574329i
\(202\) 88286.5 95150.3i 2.16367 2.33189i
\(203\) 34237.8 + 23342.9i 0.830832 + 0.566452i
\(204\) −212824. + 169722.i −5.11400 + 4.07828i
\(205\) −37520.5 40437.5i −0.892815 0.962225i
\(206\) 10494.6 + 69627.0i 0.247304 + 1.64075i
\(207\) 3111.49 13632.3i 0.0726153 0.318148i
\(208\) 23208.7 40198.7i 0.536445 0.929149i
\(209\) −33725.8 + 19471.6i −0.772093 + 0.445768i
\(210\) 158817. 48988.5i 3.60129 1.11085i
\(211\) 43376.6 + 34591.7i 0.974296 + 0.776975i 0.974813 0.223025i \(-0.0715931\pi\)
−0.000516774 1.00000i \(0.500164\pi\)
\(212\) −3166.37 42252.2i −0.0704513 0.940108i
\(213\) 96978.0 46702.1i 2.13754 1.02938i
\(214\) 6737.31i 0.147116i
\(215\) −38180.6 4827.04i −0.825973 0.104425i
\(216\) 42609.8 0.913275
\(217\) −20889.9 43378.2i −0.443625 0.921197i
\(218\) 76251.7 5714.27i 1.60449 0.120240i
\(219\) −16119.0 + 20212.6i −0.336085 + 0.421438i
\(220\) −25280.7 81958.0i −0.522329 1.69335i
\(221\) 19385.1 + 33576.0i 0.396902 + 0.687455i
\(222\) 34911.7 + 20156.3i 0.708377 + 0.408982i
\(223\) −62509.3 14267.3i −1.25700 0.286902i −0.458389 0.888752i \(-0.651573\pi\)
−0.798609 + 0.601850i \(0.794431\pi\)
\(224\) 153546. 23143.3i 3.06014 0.461242i
\(225\) 14034.6 13022.2i 0.277227 0.257229i
\(226\) −64575.4 80974.9i −1.26430 1.58538i
\(227\) 11348.5 16645.1i 0.220234 0.323025i −0.700182 0.713965i \(-0.746898\pi\)
0.920416 + 0.390940i \(0.127850\pi\)
\(228\) 139871. + 129781.i 2.69065 + 2.49656i
\(229\) −265.600 + 3544.18i −0.00506473 + 0.0675842i −0.999163 0.0408951i \(-0.986979\pi\)
0.994099 + 0.108479i \(0.0345981\pi\)
\(230\) 7881.18 + 20080.9i 0.148983 + 0.379602i
\(231\) 25538.3 + 111890.i 0.478594 + 2.09686i
\(232\) −83049.1 25617.3i −1.54298 0.475945i
\(233\) 27336.7 + 40095.6i 0.503541 + 0.738559i 0.990894 0.134646i \(-0.0429898\pi\)
−0.487353 + 0.873205i \(0.662037\pi\)
\(234\) 8169.79 54203.0i 0.149204 0.989901i
\(235\) 31040.4 + 12182.5i 0.562072 + 0.220597i
\(236\) −111333. 53614.9i −1.99893 0.962635i
\(237\) −14985.3 + 31117.2i −0.266789 + 0.553993i
\(238\) −113338. + 288780.i −2.00088 + 5.09816i
\(239\) 18854.6 + 2841.87i 0.330082 + 0.0497518i 0.311993 0.950085i \(-0.399004\pi\)
0.0180893 + 0.999836i \(0.494242\pi\)
\(240\) −144641. + 98614.5i −2.51113 + 1.71206i
\(241\) 21937.3 71119.0i 0.377702 1.22448i −0.544826 0.838549i \(-0.683404\pi\)
0.922528 0.385930i \(-0.126119\pi\)
\(242\) −24031.8 + 5485.11i −0.410351 + 0.0936600i
\(243\) −77691.7 + 30491.8i −1.31572 + 0.516381i
\(244\) 71449.2 + 5354.37i 1.20010 + 0.0899351i
\(245\) 57190.1 61636.2i 0.952771 1.02684i
\(246\) −217882. 148549.i −3.60040 2.45471i
\(247\) 21246.9 16943.9i 0.348259 0.277727i
\(248\) 68683.5 + 74023.3i 1.11673 + 1.20355i
\(249\) −1678.37 11135.3i −0.0270701 0.179598i
\(250\) −27990.9 + 122636.i −0.447854 + 1.96218i
\(251\) −30796.7 + 53341.4i −0.488829 + 0.846676i −0.999917 0.0128518i \(-0.995909\pi\)
0.511089 + 0.859528i \(0.329242\pi\)
\(252\) 268840. 155215.i 4.23343 2.44417i
\(253\) −14234.6 + 4390.78i −0.222384 + 0.0685964i
\(254\) 15532.5 + 12386.8i 0.240755 + 0.191995i
\(255\) −10926.9 145810.i −0.168042 2.24236i
\(256\) 55949.8 26944.0i 0.853726 0.411133i
\(257\) 111137.i 1.68264i 0.540537 + 0.841320i \(0.318221\pi\)
−0.540537 + 0.841320i \(0.681779\pi\)
\(258\) −183078. + 18117.6i −2.75041 + 0.272184i
\(259\) 32515.6 0.484721
\(260\) 25968.9 + 53924.9i 0.384155 + 0.797705i
\(261\) −51399.3 + 3851.84i −0.754529 + 0.0565441i
\(262\) 71157.0 89228.0i 1.03661 1.29987i
\(263\) −12626.0 40932.4i −0.182538 0.591774i −0.999878 0.0156181i \(-0.995028\pi\)
0.817340 0.576156i \(-0.195448\pi\)
\(264\) −120354. 208460.i −1.72685 2.99099i
\(265\) 19710.2 + 11379.7i 0.280672 + 0.162046i
\(266\) 211999. + 48387.4i 2.99620 + 0.683863i
\(267\) −65487.6 + 9870.66i −0.918621 + 0.138460i
\(268\) 65586.9 60855.7i 0.913161 0.847290i
\(269\) 49074.3 + 61537.2i 0.678187 + 0.850420i 0.995186 0.0980063i \(-0.0312465\pi\)
−0.316999 + 0.948426i \(0.602675\pi\)
\(270\) −21961.5 + 32211.5i −0.301255 + 0.441859i
\(271\) 78906.2 + 73214.3i 1.07442 + 0.996913i 1.00000 0.000314101i \(-9.99815e-5\pi\)
0.0744169 + 0.997227i \(0.476290\pi\)
\(272\) 24418.8 325847.i 0.330056 4.40429i
\(273\) −29259.7 74552.6i −0.392595 1.00032i
\(274\) −11267.0 49363.8i −0.150074 0.657517i
\(275\) −19490.0 6011.87i −0.257719 0.0794958i
\(276\) 41114.7 + 60304.2i 0.539733 + 0.791642i
\(277\) 16128.9 107008.i 0.210206 1.39462i −0.595999 0.802985i \(-0.703244\pi\)
0.806204 0.591637i \(-0.201518\pi\)
\(278\) −56000.0 21978.4i −0.724601 0.284385i
\(279\) 53956.6 + 25984.1i 0.693165 + 0.333811i
\(280\) −121991. + 253318.i −1.55601 + 3.23109i
\(281\) 14661.2 37356.1i 0.185676 0.473096i −0.807479 0.589896i \(-0.799169\pi\)
0.993155 + 0.116800i \(0.0372638\pi\)
\(282\) 157625. + 23758.2i 1.98211 + 0.298755i
\(283\) −44551.1 + 30374.4i −0.556269 + 0.379258i −0.808578 0.588389i \(-0.799763\pi\)
0.252309 + 0.967647i \(0.418810\pi\)
\(284\) −91421.8 + 296382.i −1.13348 + 3.67465i
\(285\) −99921.6 + 22806.5i −1.23018 + 0.280781i
\(286\) −54359.5 + 21334.5i −0.664574 + 0.260826i
\(287\) −212105. 15895.1i −2.57506 0.192974i
\(288\) −131373. + 141587.i −1.58388 + 1.70702i
\(289\) 156494. + 106696.i 1.87371 + 1.27748i
\(290\) 62170.0 49579.0i 0.739240 0.589524i
\(291\) 91185.5 + 98274.6i 1.07681 + 1.16053i
\(292\) −11103.1 73664.1i −0.130220 0.863953i
\(293\) 18762.2 82202.4i 0.218548 0.957523i −0.740003 0.672604i \(-0.765176\pi\)
0.958551 0.284920i \(-0.0919669\pi\)
\(294\) 200973. 348095.i 2.32511 4.02720i
\(295\) 57482.8 33187.7i 0.660532 0.381358i
\(296\) −65166.9 + 20101.3i −0.743778 + 0.229425i
\(297\) −21047.8 16785.1i −0.238613 0.190288i
\(298\) −9094.32 121355.i −0.102409 1.36655i
\(299\) 9365.74 4510.30i 0.104761 0.0504503i
\(300\) 99933.1i 1.11037i
\(301\) −120578. + 86489.9i −1.33087 + 0.954624i
\(302\) −191553. −2.10027
\(303\) 102351. + 212534.i 1.11483 + 2.31496i
\(304\) −228401. + 17116.3i −2.47145 + 0.185209i
\(305\) −23995.9 + 30089.9i −0.257951 + 0.323460i
\(306\) −113739. 368734.i −1.21470 3.93795i
\(307\) 62231.3 + 107788.i 0.660286 + 1.14365i 0.980541 + 0.196317i \(0.0628981\pi\)
−0.320255 + 0.947331i \(0.603769\pi\)
\(308\) −286402. 165354.i −3.01908 1.74307i
\(309\) −124759. 28475.4i −1.30664 0.298231i
\(310\) −91359.2 + 13770.2i −0.950668 + 0.143290i
\(311\) 93831.8 87063.2i 0.970129 0.900148i −0.0249045 0.999690i \(-0.507928\pi\)
0.995033 + 0.0995418i \(0.0317377\pi\)
\(312\) 104730. + 131328.i 1.07588 + 1.34911i
\(313\) −106093. + 155610.i −1.08292 + 1.58836i −0.313530 + 0.949578i \(0.601512\pi\)
−0.769392 + 0.638777i \(0.779441\pi\)
\(314\) 171280. + 158925.i 1.73719 + 1.61188i
\(315\) −12461.0 + 166280.i −0.125583 + 1.67579i
\(316\) −36359.3 92641.9i −0.364117 0.927755i
\(317\) −17704.8 77570.0i −0.176187 0.771925i −0.983368 0.181622i \(-0.941865\pi\)
0.807181 0.590303i \(-0.200992\pi\)
\(318\) 103966. + 32069.2i 1.02810 + 0.317127i
\(319\) 30932.2 + 45369.2i 0.303969 + 0.445841i
\(320\) 13366.7 88682.2i 0.130534 0.866038i
\(321\) 11397.8 + 4473.31i 0.110614 + 0.0434129i
\(322\) 74941.2 + 36089.8i 0.722785 + 0.348075i
\(323\) 83005.0 172362.i 0.795608 1.65210i
\(324\) 66277.0 168871.i 0.631354 1.60866i
\(325\) 14074.1 + 2121.34i 0.133246 + 0.0200837i
\(326\) −11914.7 + 8123.28i −0.112111 + 0.0764357i
\(327\) −40961.0 + 132792.i −0.383067 + 1.24187i
\(328\) 434922. 99268.2i 4.04263 0.922704i
\(329\) 119687. 46973.6i 1.10574 0.433972i
\(330\) 219620. + 16458.3i 2.01672 + 0.151132i
\(331\) −103686. + 111747.i −0.946376 + 1.01995i 0.0533953 + 0.998573i \(0.482996\pi\)
−0.999771 + 0.0213775i \(0.993195\pi\)
\(332\) 26810.8 + 18279.3i 0.243239 + 0.165838i
\(333\) −31621.2 + 25217.0i −0.285161 + 0.227408i
\(334\) −47066.1 50725.2i −0.421906 0.454706i
\(335\) 7162.86 + 47522.5i 0.0638259 + 0.423457i
\(336\) −150202. + 658076.i −1.33044 + 5.82905i
\(337\) −39711.3 + 68782.0i −0.349667 + 0.605641i −0.986190 0.165617i \(-0.947039\pi\)
0.636523 + 0.771258i \(0.280372\pi\)
\(338\) −147725. + 85289.2i −1.29307 + 0.746553i
\(339\) 179864. 55480.8i 1.56511 0.482773i
\(340\) 329413. + 262698.i 2.84959 + 2.27247i
\(341\) −4767.75 63621.2i −0.0410020 0.547133i
\(342\) −243694. + 117357.i −2.08349 + 1.00336i
\(343\) 131515.i 1.11785i
\(344\) 188191. 247883.i 1.59031 2.09474i
\(345\) −39204.5 −0.329381
\(346\) −148698. 308775.i −1.24209 2.57923i
\(347\) −95020.3 + 7120.79i −0.789146 + 0.0591384i −0.463205 0.886251i \(-0.653300\pi\)
−0.325942 + 0.945390i \(0.605681\pi\)
\(348\) 167744. 210344.i 1.38512 1.73689i
\(349\) 29119.1 + 94401.8i 0.239071 + 0.775050i 0.993002 + 0.118096i \(0.0376791\pi\)
−0.753931 + 0.656954i \(0.771845\pi\)
\(350\) 56944.1 + 98630.0i 0.464849 + 0.805143i
\(351\) 16269.6 + 9393.24i 0.132057 + 0.0762432i
\(352\) 200606. + 45787.0i 1.61904 + 0.369536i
\(353\) −30223.9 + 4555.53i −0.242550 + 0.0365586i −0.269192 0.963086i \(-0.586757\pi\)
0.0266420 + 0.999645i \(0.491519\pi\)
\(354\) 232599. 215820.i 1.85610 1.72221i
\(355\) −103875. 130256.i −0.824244 1.03357i
\(356\) 107502. 157677.i 0.848237 1.24414i
\(357\) −413290. 383477.i −3.24279 3.00887i
\(358\) −17118.0 + 228423.i −0.133563 + 1.78227i
\(359\) −63645.3 162166.i −0.493830 1.25826i −0.933007 0.359858i \(-0.882825\pi\)
0.439177 0.898400i \(-0.355270\pi\)
\(360\) −77821.5 340958.i −0.600475 2.63085i
\(361\) −3607.24 1112.69i −0.0276797 0.00853805i
\(362\) 20753.4 + 30439.6i 0.158370 + 0.232285i
\(363\) 6676.78 44297.5i 0.0506703 0.336176i
\(364\) 214827. + 84313.2i 1.62138 + 0.636346i
\(365\) 36052.7 + 17362.1i 0.270615 + 0.130321i
\(366\) −79826.5 + 165762.i −0.595916 + 1.23743i
\(367\) 59704.5 152125.i 0.443277 1.12945i −0.518369 0.855157i \(-0.673461\pi\)
0.961646 0.274294i \(-0.0884441\pi\)
\(368\) −86633.5 13057.9i −0.639720 0.0964223i
\(369\) 218598. 149038.i 1.60544 1.09457i
\(370\) 18391.7 59624.4i 0.134344 0.435532i
\(371\) 85556.0 19527.6i 0.621588 0.141873i
\(372\) −290985. + 114203.i −2.10273 + 0.825262i
\(373\) 133651. + 10015.7i 0.960625 + 0.0719889i 0.545803 0.837914i \(-0.316225\pi\)
0.414822 + 0.909903i \(0.363844\pi\)
\(374\) −279609. + 301347.i −1.99898 + 2.15439i
\(375\) −188884. 128779.i −1.34317 0.915760i
\(376\) −210833. + 168134.i −1.49130 + 1.18927i
\(377\) −26063.1 28089.4i −0.183377 0.197633i
\(378\) 22404.4 + 148643.i 0.156801 + 1.04031i
\(379\) 19092.9 83651.6i 0.132921 0.582365i −0.863968 0.503547i \(-0.832028\pi\)
0.996889 0.0788185i \(-0.0251148\pi\)
\(380\) 147667. 255766.i 1.02262 1.77123i
\(381\) −31268.2 + 18052.7i −0.215404 + 0.124363i
\(382\) −199033. + 61393.5i −1.36395 + 0.420723i
\(383\) 19986.0 + 15938.3i 0.136248 + 0.108654i 0.689242 0.724531i \(-0.257944\pi\)
−0.552995 + 0.833185i \(0.686515\pi\)
\(384\) −929.310 12400.8i −0.00630228 0.0840981i
\(385\) 160048. 77075.0i 1.07976 0.519987i
\(386\) 305441.i 2.04999i
\(387\) 50185.1 177623.i 0.335083 1.18598i
\(388\) −386306. −2.56607
\(389\) 26426.8 + 54875.8i 0.174641 + 0.362645i 0.969855 0.243684i \(-0.0783559\pi\)
−0.795214 + 0.606329i \(0.792642\pi\)
\(390\) −153258. + 11485.1i −1.00762 + 0.0755104i
\(391\) 45625.7 57212.8i 0.298439 0.374231i
\(392\) 200425. + 649762.i 1.30431 + 4.22846i
\(393\) 103705. + 179623.i 0.671454 + 1.16299i
\(394\) −160208. 92496.1i −1.03203 0.595842i
\(395\) 52117.5 + 11895.5i 0.334033 + 0.0762409i
\(396\) 406762. 61309.6i 2.59388 0.390965i
\(397\) −219449. + 203619.i −1.39236 + 1.29192i −0.483185 + 0.875518i \(0.660520\pi\)
−0.909178 + 0.416407i \(0.863289\pi\)
\(398\) 44812.9 + 56193.6i 0.282902 + 0.354749i
\(399\) −222618. + 326520.i −1.39834 + 2.05099i
\(400\) −87935.9 81592.6i −0.549599 0.509954i
\(401\) 16815.3 224384.i 0.104572 1.39541i −0.660189 0.751100i \(-0.729524\pi\)
0.764761 0.644314i \(-0.222857\pi\)
\(402\) 83934.7 + 213862.i 0.519385 + 1.32337i
\(403\) 9906.97 + 43405.3i 0.0610001 + 0.267259i
\(404\) −649543. 200357.i −3.97965 1.22756i
\(405\) 54892.7 + 80512.7i 0.334660 + 0.490856i
\(406\) 45697.8 303185.i 0.277232 1.83931i
\(407\) 40108.7 + 15741.5i 0.242131 + 0.0950293i
\(408\) 1.06537e6 + 513056.i 6.40001 + 3.08208i
\(409\) −28609.2 + 59407.7i −0.171025 + 0.355137i −0.968810 0.247805i \(-0.920291\pi\)
0.797785 + 0.602942i \(0.206005\pi\)
\(410\) −149119. + 379950.i −0.887088 + 2.26026i
\(411\) 90991.6 + 13714.8i 0.538663 + 0.0811905i
\(412\) 304670. 207721.i 1.79488 1.22373i
\(413\) 75437.3 244562.i 0.442269 1.43380i
\(414\) −100869. + 23022.6i −0.588512 + 0.134324i
\(415\) −16225.2 + 6367.91i −0.0942092 + 0.0369744i
\(416\) −143188. 10730.5i −0.827409 0.0620058i
\(417\) 74363.6 80144.9i 0.427650 0.460897i
\(418\) 238080. + 162320.i 1.36261 + 0.929009i
\(419\) 18807.5 14998.5i 0.107128 0.0854317i −0.568461 0.822710i \(-0.692461\pi\)
0.675589 + 0.737279i \(0.263889\pi\)
\(420\) −591998. 638022.i −3.35600 3.61691i
\(421\) −1788.02 11862.7i −0.0100881 0.0669299i 0.983220 0.182422i \(-0.0583936\pi\)
−0.993308 + 0.115492i \(0.963156\pi\)
\(422\) 91348.1 400222.i 0.512950 2.24738i
\(423\) −79964.7 + 138503.i −0.446907 + 0.774066i
\(424\) −159397. + 92027.9i −0.886642 + 0.511903i
\(425\) 95744.1 29533.1i 0.530071 0.163505i
\(426\) −622676. 496568.i −3.43118 2.73627i
\(427\) 11089.7 + 147982.i 0.0608227 + 0.811622i
\(428\) −31788.2 + 15308.4i −0.173531 + 0.0835683i
\(429\) 106128.i 0.576652i
\(430\) 90395.8 + 270027.i 0.488890 + 1.46039i
\(431\) −122620. −0.660098 −0.330049 0.943964i \(-0.607065\pi\)
−0.330049 + 0.943964i \(0.607065\pi\)
\(432\) −68699.0 142655.i −0.368114 0.764397i
\(433\) −115902. + 8685.64i −0.618180 + 0.0463262i −0.380139 0.924929i \(-0.624124\pi\)
−0.238040 + 0.971255i \(0.576505\pi\)
\(434\) −222115. + 278523.i −1.17923 + 1.47871i
\(435\) 42596.4 + 138094.i 0.225110 + 0.729788i
\(436\) −200219. 346789.i −1.05325 1.82428i
\(437\) −44421.8 25646.9i −0.232612 0.134299i
\(438\) 186495. + 42566.2i 0.972117 + 0.221879i
\(439\) 244563. 36861.9i 1.26900 0.191271i 0.520186 0.854053i \(-0.325863\pi\)
0.748812 + 0.662782i \(0.230624\pi\)
\(440\) −273116. + 253414.i −1.41072 + 1.30896i
\(441\) 251433. + 315287.i 1.29284 + 1.62117i
\(442\) 161599. 237023.i 0.827170 1.21324i
\(443\) −55661.5 51646.3i −0.283627 0.263167i 0.525510 0.850787i \(-0.323875\pi\)
−0.809137 + 0.587620i \(0.800065\pi\)
\(444\) 15776.3 210520.i 0.0800273 1.06789i
\(445\) 37450.3 + 95421.8i 0.189119 + 0.481867i
\(446\) 105567. + 462520.i 0.530712 + 2.32520i
\(447\) 211340. + 65189.8i 1.05771 + 0.326261i
\(448\) −194800. 285718.i −0.970581 1.42358i
\(449\) −41991.5 + 278595.i −0.208290 + 1.38192i 0.603219 + 0.797576i \(0.293884\pi\)
−0.811509 + 0.584340i \(0.801354\pi\)
\(450\) −131869. 51754.7i −0.651204 0.255579i
\(451\) −253941. 122292.i −1.24848 0.601235i
\(452\) −235331. + 488670.i −1.15187 + 2.39188i
\(453\) 127184. 324058.i 0.619776 1.57916i
\(454\) −147397. 22216.6i −0.715119 0.107787i
\(455\) −102423. + 69830.8i −0.494737 + 0.337306i
\(456\) 244308. 792027.i 1.17492 3.80899i
\(457\) 206160. 47054.6i 0.987122 0.225304i 0.301663 0.953415i \(-0.402458\pi\)
0.685460 + 0.728110i \(0.259601\pi\)
\(458\) 24479.9 9607.64i 0.116702 0.0458021i
\(459\) 131880. + 9883.01i 0.625968 + 0.0469098i
\(460\) 76838.8 82812.6i 0.363133 0.391364i
\(461\) −85220.2 58102.1i −0.400997 0.273395i 0.345984 0.938240i \(-0.387545\pi\)
−0.746981 + 0.664845i \(0.768497\pi\)
\(462\) 663926. 529463.i 3.11054 2.48057i
\(463\) −1886.56 2033.23i −0.00880051 0.00948470i 0.728636 0.684901i \(-0.240155\pi\)
−0.737437 + 0.675416i \(0.763964\pi\)
\(464\) 48133.6 + 319346.i 0.223569 + 1.48329i
\(465\) 37363.2 163699.i 0.172798 0.757077i
\(466\) 179534. 310963.i 0.826753 1.43198i
\(467\) 307741. 177674.i 1.41108 0.814687i 0.415589 0.909552i \(-0.363575\pi\)
0.995490 + 0.0948652i \(0.0302420\pi\)
\(468\) −274305. + 84612.0i −1.25240 + 0.386314i
\(469\) 144880. + 115538.i 0.658662 + 0.525265i
\(470\) −18438.2 246041.i −0.0834686 1.11381i
\(471\) −382583. + 184242.i −1.72458 + 0.830516i
\(472\) 536780.i 2.40942i
\(473\) −190607. + 48312.8i −0.851956 + 0.215943i
\(474\) 255551. 1.13742
\(475\) −30472.4 63276.5i −0.135058 0.280450i
\(476\) 1.62005e6 121406.i 7.15015 0.535830i
\(477\) −68058.2 + 85342.3i −0.299119 + 0.375083i
\(478\) −41585.6 134817.i −0.182007 0.590051i
\(479\) 37375.0 + 64735.5i 0.162896 + 0.282144i 0.935906 0.352249i \(-0.114583\pi\)
−0.773010 + 0.634394i \(0.781250\pi\)
\(480\) 468984. + 270768.i 2.03552 + 1.17521i
\(481\) −29313.8 6690.68i −0.126702 0.0289188i
\(482\) −544540. + 82076.2i −2.34388 + 0.353283i
\(483\) −110813. + 102819.i −0.475001 + 0.440737i
\(484\) 80484.5 + 100924.i 0.343575 + 0.430829i
\(485\) 116891. 171448.i 0.496933 0.728867i
\(486\) 452694. + 420039.i 1.91660 + 1.77835i
\(487\) −30594.2 + 408252.i −0.128998 + 1.72135i 0.439140 + 0.898419i \(0.355283\pi\)
−0.568137 + 0.822934i \(0.692336\pi\)
\(488\) −113709. 289726.i −0.477481 1.21660i
\(489\) −5831.64 25550.1i −0.0243878 0.106850i
\(490\) −594499. 183379.i −2.47605 0.763760i
\(491\) −193495. 283804.i −0.802612 1.17722i −0.981143 0.193282i \(-0.938087\pi\)
0.178531 0.983934i \(-0.442865\pi\)
\(492\) −205823. + 1.36555e6i −0.850284 + 5.64127i
\(493\) −251100. 98549.4i −1.03312 0.405471i
\(494\) −181167. 87245.4i −0.742378 0.357510i
\(495\) −95870.9 + 199078.i −0.391270 + 0.812480i
\(496\) 137088. 349295.i 0.557232 1.41980i
\(497\) −635218. 95743.8i −2.57164 0.387612i
\(498\) −68844.7 + 46937.5i −0.277595 + 0.189261i
\(499\) −48700.0 + 157882.i −0.195582 + 0.634060i 0.803659 + 0.595090i \(0.202884\pi\)
−0.999240 + 0.0389697i \(0.987592\pi\)
\(500\) 642225. 146584.i 2.56890 0.586334i
\(501\) 117064. 45944.3i 0.466389 0.183044i
\(502\) 454469. + 34057.7i 1.80342 + 0.135148i
\(503\) 114050. 122916.i 0.450773 0.485817i −0.466250 0.884653i \(-0.654395\pi\)
0.917022 + 0.398836i \(0.130586\pi\)
\(504\) −1.11417e6 759630.i −4.38623 2.99048i
\(505\) 285464. 227650.i 1.11936 0.892658i
\(506\) 74969.7 + 80798.2i 0.292809 + 0.315573i
\(507\) −46203.7 306542.i −0.179747 1.19254i
\(508\) 23150.9 101431.i 0.0897101 0.393046i
\(509\) −183633. + 318061.i −0.708784 + 1.22765i 0.256524 + 0.966538i \(0.417423\pi\)
−0.965308 + 0.261113i \(0.915911\pi\)
\(510\) −936955. + 540951.i −3.60229 + 2.07978i
\(511\) 147438. 45478.7i 0.564635 0.174167i
\(512\) −370811. 295712.i −1.41453 1.12805i
\(513\) −6927.46 92440.5i −0.0263232 0.351259i
\(514\) 740889. 356794.i 2.80432 1.35049i
\(515\) 198070.i 0.746800i
\(516\) 501469. + 822637.i 1.88341 + 3.08965i
\(517\) 170377. 0.637426
\(518\) −104388. 216764.i −0.389038 0.807845i
\(519\) 621098. 46544.9i 2.30582 0.172797i
\(520\) 162104. 203272.i 0.599496 0.751744i
\(521\) 51349.7 + 166472.i 0.189175 + 0.613289i 0.999622 + 0.0274780i \(0.00874762\pi\)
−0.810448 + 0.585811i \(0.800776\pi\)
\(522\) 190690. + 330286.i 0.699823 + 1.21213i
\(523\) 38472.7 + 22212.2i 0.140653 + 0.0812060i 0.568675 0.822562i \(-0.307456\pi\)
−0.428022 + 0.903768i \(0.640789\pi\)
\(524\) −582679. 132993.i −2.12210 0.484356i
\(525\) −204665. + 30848.3i −0.742549 + 0.111921i
\(526\) −232340. + 215580.i −0.839755 + 0.779179i
\(527\) 195410. + 245037.i 0.703600 + 0.882287i
\(528\) −503866. + 739035.i −1.80737 + 2.65092i
\(529\) 190755. + 176995.i 0.681655 + 0.632483i
\(530\) 12584.7 167931.i 0.0448012 0.597831i
\(531\) 116304. + 296339.i 0.412484 + 1.05099i
\(532\) −253397. 1.11020e6i −0.895319 3.92265i
\(533\) 187949. + 57974.5i 0.661584 + 0.204072i
\(534\) 276044. + 404882.i 0.968045 + 1.41986i
\(535\) 2824.62 18740.1i 0.00986852 0.0654734i
\(536\) −361790. 141992.i −1.25930 0.494237i
\(537\) −375068. 180623.i −1.30065 0.626361i
\(538\) 252688. 524711.i 0.873011 1.81283i
\(539\) 156955. 399914.i 0.540252 1.37654i
\(540\) 201882. + 30428.8i 0.692324 + 0.104351i
\(541\) −270306. + 184292.i −0.923552 + 0.629667i −0.928905 0.370319i \(-0.879248\pi\)
0.00535298 + 0.999986i \(0.498296\pi\)
\(542\) 234760. 761073.i 0.799145 2.59076i
\(543\) −65275.4 + 14898.7i −0.221386 + 0.0505299i
\(544\) −940940. + 369292.i −3.17954 + 1.24788i
\(545\) 214493. + 16074.0i 0.722137 + 0.0541167i
\(546\) −403067. + 434403.i −1.35205 + 1.45716i
\(547\) 36468.4 + 24863.8i 0.121883 + 0.0830983i 0.622727 0.782439i \(-0.286025\pi\)
−0.500844 + 0.865537i \(0.666977\pi\)
\(548\) −207309. + 165323.i −0.690330 + 0.550519i
\(549\) −125550. 135311.i −0.416556 0.448940i
\(550\) 22492.8 + 149230.i 0.0743564 + 0.493323i
\(551\) −42073.7 + 184337.i −0.138582 + 0.607169i
\(552\) 158524. 274572.i 0.520256 0.901111i
\(553\) 178509. 103062.i 0.583727 0.337015i
\(554\) −765146. + 236016.i −2.49301 + 0.768993i
\(555\) 88657.7 + 70702.2i 0.287826 + 0.229534i
\(556\) 23543.0 + 314159.i 0.0761574 + 1.01625i
\(557\) −556305. + 267903.i −1.79309 + 0.863508i −0.853610 + 0.520912i \(0.825592\pi\)
−0.939483 + 0.342596i \(0.888694\pi\)
\(558\) 443120.i 1.42316i
\(559\) 126502. 53162.1i 0.404830 0.170129i
\(560\) 1.04478e6 3.33156
\(561\) −324153. 673110.i −1.02997 2.13875i
\(562\) −296102. + 22189.8i −0.937494 + 0.0702555i
\(563\) −332589. + 417054.i −1.04928 + 1.31575i −0.102197 + 0.994764i \(0.532587\pi\)
−0.947082 + 0.320991i \(0.895984\pi\)
\(564\) −246056. 797693.i −0.773527 2.50771i
\(565\) −145670. 252308.i −0.456325 0.790377i
\(566\) 345517. + 199484.i 1.07854 + 0.622696i
\(567\) 366311. + 83608.0i 1.13942 + 0.260065i
\(568\) 1.33228e6 200808.i 4.12950 0.622422i
\(569\) 341930. 317265.i 1.05612 0.979935i 0.0562892 0.998415i \(-0.482073\pi\)
0.999829 + 0.0184798i \(0.00588263\pi\)
\(570\) 472827. + 592906.i 1.45530 + 1.82489i
\(571\) −58314.7 + 85532.0i −0.178857 + 0.262335i −0.905189 0.425009i \(-0.860271\pi\)
0.726332 + 0.687344i \(0.241223\pi\)
\(572\) 224175. + 208004.i 0.685166 + 0.635742i
\(573\) 28287.9 377475.i 0.0861571 1.14969i
\(574\) 574979. + 1.46502e6i 1.74513 + 4.44653i
\(575\) −5977.96 26191.2i −0.0180808 0.0792171i
\(576\) 411026. + 126785.i 1.23887 + 0.382140i
\(577\) −302042. 443014.i −0.907227 1.33066i −0.943520 0.331316i \(-0.892507\pi\)
0.0362929 0.999341i \(-0.488445\pi\)
\(578\) 208876. 1.38580e6i 0.625221 4.14807i
\(579\) −516727. 202800.i −1.54136 0.604939i
\(580\) −375186. 180680.i −1.11530 0.537099i
\(581\) −29160.2 + 60551.7i −0.0863849 + 0.179380i
\(582\) 362402. 923386.i 1.06990 2.72607i
\(583\) 114989. + 17331.8i 0.338313 + 0.0509925i
\(584\) −267376. + 182294.i −0.783966 + 0.534499i
\(585\) 45449.2 147343.i 0.132805 0.430544i
\(586\) −608234. + 138825.i −1.77123 + 0.404272i
\(587\) 152264. 59759.3i 0.441898 0.173432i −0.133952 0.990988i \(-0.542767\pi\)
0.575849 + 0.817556i \(0.304671\pi\)
\(588\) −2.09904e6 157301.i −6.07107 0.454964i
\(589\) 149424. 161041.i 0.430716 0.464202i
\(590\) −405787. 276661.i −1.16572 0.794775i
\(591\) 262851. 209617.i 0.752550 0.600138i
\(592\) 172365. + 185766.i 0.491821 + 0.530056i
\(593\) 36320.4 + 240970.i 0.103286 + 0.685258i 0.979216 + 0.202820i \(0.0650106\pi\)
−0.875930 + 0.482438i \(0.839751\pi\)
\(594\) −44325.2 + 194201.i −0.125626 + 0.550401i
\(595\) −436325. + 755737.i −1.23247 + 2.13470i
\(596\) −551918. + 318650.i −1.55375 + 0.897059i
\(597\) −124819. + 38501.6i −0.350213 + 0.108026i
\(598\) −60135.6 47956.5i −0.168163 0.134105i
\(599\) −24437.2 326092.i −0.0681079 0.908837i −0.921702 0.387899i \(-0.873201\pi\)
0.853594 0.520939i \(-0.174418\pi\)
\(600\) 391114. 188350.i 1.08643 0.523196i
\(601\) 637683.i 1.76545i 0.469888 + 0.882726i \(0.344294\pi\)
−0.469888 + 0.882726i \(0.655706\pi\)
\(602\) 963686. + 526162.i 2.65915 + 1.45187i
\(603\) −230498. −0.633918
\(604\) 435242. + 903790.i 1.19305 + 2.47739i
\(605\) −69145.1 + 5181.71i −0.188908 + 0.0141567i
\(606\) 1.08826e6 1.36464e6i 2.96339 3.71597i
\(607\) 10979.5 + 35594.6i 0.0297992 + 0.0966066i 0.969251 0.246075i \(-0.0791410\pi\)
−0.939452 + 0.342682i \(0.888665\pi\)
\(608\) 354263. + 613602.i 0.958338 + 1.65989i
\(609\) 482570. + 278612.i 1.30114 + 0.751216i
\(610\) 277630. + 63367.2i 0.746117 + 0.170296i
\(611\) −117567. + 17720.3i −0.314922 + 0.0474668i
\(612\) −1.48133e6 + 1.37448e6i −3.95503 + 3.66974i
\(613\) −125912. 157889.i −0.335078 0.420175i 0.585537 0.810646i \(-0.300884\pi\)
−0.920615 + 0.390471i \(0.872312\pi\)
\(614\) 518776. 760905.i 1.37608 2.01834i
\(615\) −543768. 504543.i −1.43769 1.33398i
\(616\) −107356. + 1.43256e6i −0.282920 + 3.77531i
\(617\) −20430.8 52056.8i −0.0536679 0.136744i 0.901525 0.432726i \(-0.142448\pi\)
−0.955193 + 0.295982i \(0.904353\pi\)
\(618\) 210696. + 923119.i 0.551670 + 2.41702i
\(619\) −573070. 176769.i −1.49564 0.461343i −0.564322 0.825555i \(-0.690862\pi\)
−0.931316 + 0.364212i \(0.881338\pi\)
\(620\) 272555. + 399765.i 0.709040 + 1.03997i
\(621\) 5284.90 35063.1i 0.0137042 0.0909215i
\(622\) −881642. 346019.i −2.27883 0.894374i
\(623\) 356110. + 171494.i 0.917505 + 0.441847i
\(624\) 270822. 562368.i 0.695529 1.44428i
\(625\) −85480.0 + 217800.i −0.218829 + 0.557567i
\(626\) 1.37797e6 + 207695.i 3.51633 + 0.530002i
\(627\) −432680. + 294996.i −1.10060 + 0.750379i
\(628\) 360664. 1.16924e6i 0.914500 2.96474i
\(629\) −206357. + 47099.7i −0.521577 + 0.119047i
\(630\) 1.14851e6 450756.i 2.89370 1.13569i
\(631\) 419790. + 31458.9i 1.05432 + 0.0790106i 0.590596 0.806967i \(-0.298893\pi\)
0.463727 + 0.885978i \(0.346512\pi\)
\(632\) −294049. + 316909.i −0.736183 + 0.793416i
\(633\) 616422. + 420269.i 1.53840 + 1.04887i
\(634\) −460278. + 367060.i −1.14510 + 0.913184i
\(635\) 38011.2 + 40966.3i 0.0942680 + 0.101597i
\(636\) −84918.9 563400.i −0.209938 1.39284i
\(637\) −66711.1 + 292280.i −0.164407 + 0.720312i
\(638\) 203148. 351862.i 0.499081 0.864433i
\(639\) 691998. 399525.i 1.69474 0.978458i
\(640\) −18392.8 + 5673.44i −0.0449044 + 0.0138512i
\(641\) 426886. + 340430.i 1.03895 + 0.828537i 0.985439 0.170030i \(-0.0543866\pi\)
0.0535134 + 0.998567i \(0.482958\pi\)
\(642\) −6770.36 90344.2i −0.0164264 0.219195i
\(643\) −467088. + 224938.i −1.12974 + 0.544052i −0.902887 0.429878i \(-0.858556\pi\)
−0.226848 + 0.973930i \(0.572842\pi\)
\(644\) 435592.i 1.05029i
\(645\) −516835. 26360.5i −1.24232 0.0633627i
\(646\) −1.41552e6 −3.39197
\(647\) 6484.08 + 13464.3i 0.0154896 + 0.0321644i 0.908570 0.417732i \(-0.137175\pi\)
−0.893081 + 0.449897i \(0.851461\pi\)
\(648\) −785837. + 58890.3i −1.87147 + 0.140247i
\(649\) 211451. 265151.i 0.502020 0.629513i
\(650\) −31041.8 100635.i −0.0734718 0.238190i
\(651\) −323714. 560689.i −0.763835 1.32300i
\(652\) 65399.7 + 37758.5i 0.153844 + 0.0888219i
\(653\) 239945. + 54765.8i 0.562710 + 0.128435i 0.494408 0.869230i \(-0.335385\pi\)
0.0683017 + 0.997665i \(0.478242\pi\)
\(654\) 1.01676e6 153251.i 2.37718 0.358302i
\(655\) 235335. 218359.i 0.548534 0.508965i
\(656\) −1.03356e6 1.29604e6i −2.40175 3.01170i
\(657\) −108112. + 158571.i −0.250463 + 0.367362i
\(658\) −697390. 647084.i −1.61073 1.49454i
\(659\) −29541.2 + 394200.i −0.0680233 + 0.907708i 0.853925 + 0.520396i \(0.174216\pi\)
−0.921949 + 0.387312i \(0.873404\pi\)
\(660\) −421362. 1.07361e6i −0.967315 2.46468i
\(661\) 90756.5 + 397630.i 0.207718 + 0.910074i 0.966081 + 0.258240i \(0.0831427\pi\)
−0.758362 + 0.651833i \(0.774000\pi\)
\(662\) 1.07783e6 + 332467.i 2.45943 + 0.758634i
\(663\) 293686. + 430758.i 0.668122 + 0.979955i
\(664\) 21008.6 139383.i 0.0476498 0.316136i
\(665\) 569397. + 223472.i 1.28757 + 0.505336i
\(666\) 269625. + 129845.i 0.607872 + 0.292736i
\(667\) −31380.7 + 65162.8i −0.0705361 + 0.146470i
\(668\) −132390. + 337325.i −0.296691 + 0.755955i
\(669\) −852557. 128502.i −1.90490 0.287117i
\(670\) 293811. 200317.i 0.654514 0.446240i
\(671\) −57962.0 + 187908.i −0.128735 + 0.417350i
\(672\) 2.03572e6 464639.i 4.50795 1.02891i
\(673\) −427250. + 167683.i −0.943304 + 0.370219i −0.786626 0.617430i \(-0.788174\pi\)
−0.156678 + 0.987650i \(0.550079\pi\)
\(674\) 586023. + 43916.3i 1.29001 + 0.0966732i
\(675\) 33022.9 35590.2i 0.0724781 0.0781129i
\(676\) 738071. + 503208.i 1.61512 + 1.10117i
\(677\) −377616. + 301139.i −0.823898 + 0.657036i −0.941869 0.335981i \(-0.890932\pi\)
0.117971 + 0.993017i \(0.462361\pi\)
\(678\) −947297. 1.02094e6i −2.06076 2.22097i
\(679\) −119249. 791164.i −0.258651 1.71604i
\(680\) 407270. 1.78437e6i 0.880774 3.85892i
\(681\) 135451. 234608.i 0.292070 0.505880i
\(682\) −408823. + 236034.i −0.878954 + 0.507464i
\(683\) 149101. 45991.6i 0.319624 0.0985909i −0.130792 0.991410i \(-0.541752\pi\)
0.450416 + 0.892819i \(0.351276\pi\)
\(684\) 1.10743e6 + 883146.i 2.36703 + 1.88764i
\(685\) −10643.7 142031.i −0.0226837 0.302693i
\(686\) −876738. + 422215.i −1.86304 + 0.897191i
\(687\) 47792.7i 0.101262i
\(688\) −1.13331e6 230394.i −2.39427 0.486736i
\(689\) −81149.5 −0.170941
\(690\) 125862. + 261356.i 0.264361 + 0.548952i
\(691\) 309010. 23157.1i 0.647167 0.0484984i 0.252897 0.967493i \(-0.418617\pi\)
0.394270 + 0.918995i \(0.370998\pi\)
\(692\) −1.11900e6 + 1.40318e6i −2.33679 + 2.93024i
\(693\) 251127. + 814132.i 0.522909 + 1.69523i
\(694\) 352524. + 610590.i 0.731930 + 1.26774i
\(695\) −146552. 84611.8i −0.303404 0.175171i
\(696\) −1.13939e6 260059.i −2.35210 0.536850i
\(697\) 1.36913e6 206364.i 2.81825 0.424783i
\(698\) 535843. 497189.i 1.09983 1.02050i
\(699\) 406865. + 510193.i 0.832714 + 1.04419i
\(700\) 335971. 492780.i 0.685656 1.00567i
\(701\) 7133.72 + 6619.12i 0.0145171 + 0.0134699i 0.687398 0.726281i \(-0.258753\pi\)
−0.672881 + 0.739751i \(0.734943\pi\)
\(702\) 10387.9 138617.i 0.0210791 0.281282i
\(703\) 54203.9 + 138109.i 0.109678 + 0.279455i
\(704\) −101967. 446747.i −0.205738 0.901396i
\(705\) 428480. + 132169.i 0.862089 + 0.265919i
\(706\) 127400. + 186862.i 0.255600 + 0.374897i
\(707\) 209829. 1.39213e6i 0.419785 2.78509i
\(708\) −1.54679e6 607072.i −3.08579 1.21108i
\(709\) 551918. + 265790.i 1.09795 + 0.528745i 0.893013 0.450031i \(-0.148587\pi\)
0.204936 + 0.978775i \(0.434301\pi\)
\(710\) −534863. + 1.11065e6i −1.06103 + 2.20324i
\(711\) −93670.0 + 238667.i −0.185294 + 0.472121i
\(712\) −819725. 123554.i −1.61699 0.243722i
\(713\) 69431.7 47337.7i 0.136577 0.0931168i
\(714\) −1.22961e6 + 3.98630e6i −2.41197 + 7.81940i
\(715\) −160148. + 36552.7i −0.313263 + 0.0715001i
\(716\) 1.11665e6 438252.i 2.17816 0.854865i
\(717\) 255687. + 19161.1i 0.497360 + 0.0372720i
\(718\) −876745. + 944906.i −1.70069 + 1.83290i
\(719\) −653542. 445578.i −1.26420 0.861917i −0.269327 0.963049i \(-0.586801\pi\)
−0.994873 + 0.101132i \(0.967754\pi\)
\(720\) −1.01604e6 + 810263.i −1.95995 + 1.56301i
\(721\) 519465. + 559850.i 0.999277 + 1.07696i
\(722\) 4163.01 + 27619.8i 0.00798607 + 0.0529841i
\(723\) 222701. 975717.i 0.426035 1.86658i
\(724\) 96465.6 167083.i 0.184033 0.318754i
\(725\) −85760.6 + 49513.9i −0.163159 + 0.0942001i
\(726\) −316743. + 97702.4i −0.600944 + 0.185367i
\(727\) −603657. 481401.i −1.14215 0.910831i −0.145237 0.989397i \(-0.546394\pi\)
−0.996909 + 0.0785660i \(0.974966\pi\)
\(728\) −74916.4 999690.i −0.141356 1.88626i
\(729\) −669500. + 322414.i −1.25978 + 0.606679i
\(730\) 296084.i 0.555608i
\(731\) 639955. 723561.i 1.19761 1.35407i
\(732\) 963480. 1.79813
\(733\) −123270. 255973.i −0.229430 0.476416i 0.754194 0.656652i \(-0.228028\pi\)
−0.983623 + 0.180236i \(0.942314\pi\)
\(734\) −1.20581e6 + 90362.9i −2.23814 + 0.167725i
\(735\) 704953. 883983.i 1.30493 1.63632i
\(736\) 79885.3 + 258982.i 0.147473 + 0.478094i
\(737\) 122778. + 212658.i 0.226040 + 0.391513i
\(738\) −1.69534e6 978807.i −3.11275 1.79715i
\(739\) −897701. 204894.i −1.64378 0.375181i −0.702200 0.711980i \(-0.747799\pi\)
−0.941577 + 0.336799i \(0.890656\pi\)
\(740\) −323110. + 48701.0i −0.590048 + 0.0889354i
\(741\) 267884. 248560.i 0.487878 0.452684i
\(742\) −404849. 507665.i −0.735336 0.922082i
\(743\) −415949. + 610085.i −0.753464 + 1.10513i 0.237551 + 0.971375i \(0.423655\pi\)
−0.991015 + 0.133753i \(0.957297\pi\)
\(744\) 995400. + 923596.i 1.79826 + 1.66854i
\(745\) 25582.0 341367.i 0.0460915 0.615049i
\(746\) −362303. 923134.i −0.651020 1.65877i
\(747\) −18602.0 81500.9i −0.0333365 0.146057i
\(748\) 2.05715e6 + 634546.i 3.67673 + 1.13412i
\(749\) −41164.5 60377.3i −0.0733770 0.107624i
\(750\) −252107. + 1.67262e6i −0.448190 + 2.97355i
\(751\) 566178. + 222208.i 1.00386 + 0.393986i 0.809611 0.586967i \(-0.199678\pi\)
0.194248 + 0.980952i \(0.437773\pi\)
\(752\) 902826. + 434778.i 1.59650 + 0.768833i
\(753\) −359366. + 746231.i −0.633793 + 1.31608i
\(754\) −103584. + 263927.i −0.182200 + 0.464239i
\(755\) −532813. 80308.6i −0.934718 0.140886i
\(756\) 650427. 443453.i 1.13803 0.775897i
\(757\) −141175. + 457679.i −0.246358 + 0.798673i 0.744951 + 0.667119i \(0.232473\pi\)
−0.991309 + 0.131554i \(0.958003\pi\)