Properties

Label 36.6.h.a.11.6
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.6
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.76722 + 3.04525i) q^{2} +(2.08778 + 15.4480i) q^{3} +(13.4528 - 29.0348i) q^{4} +(84.3255 - 48.6853i) q^{5} +(-56.9960 - 67.2863i) q^{6} +(87.9661 + 50.7872i) q^{7} +(24.2857 + 179.383i) q^{8} +(-234.282 + 64.5040i) q^{9} +O(q^{10})\) \(q+(-4.76722 + 3.04525i) q^{2} +(2.08778 + 15.4480i) q^{3} +(13.4528 - 29.0348i) q^{4} +(84.3255 - 48.6853i) q^{5} +(-56.9960 - 67.2863i) q^{6} +(87.9661 + 50.7872i) q^{7} +(24.2857 + 179.383i) q^{8} +(-234.282 + 64.5040i) q^{9} +(-253.739 + 488.886i) q^{10} +(73.2291 - 126.837i) q^{11} +(476.617 + 147.202i) q^{12} +(402.832 + 697.726i) q^{13} +(-574.014 + 25.7650i) q^{14} +(928.145 + 1201.02i) q^{15} +(-662.042 - 781.202i) q^{16} -1238.37i q^{17} +(920.445 - 1020.95i) q^{18} +2616.12i q^{19} +(-279.152 - 3103.33i) q^{20} +(-600.908 + 1464.93i) q^{21} +(37.1500 + 827.659i) q^{22} +(-84.5912 - 146.516i) q^{23} +(-2720.41 + 749.677i) q^{24} +(3178.02 - 5504.50i) q^{25} +(-4045.15 - 2099.49i) q^{26} +(-1485.59 - 3484.53i) q^{27} +(2657.99 - 1870.85i) q^{28} +(1952.82 + 1127.46i) q^{29} +(-8082.08 - 2899.08i) q^{30} +(-1787.03 + 1031.74i) q^{31} +(5535.06 + 1708.08i) q^{32} +(2112.26 + 866.438i) q^{33} +(3771.14 + 5903.57i) q^{34} +9890.37 q^{35} +(-1278.90 + 7670.11i) q^{36} +445.632 q^{37} +(-7966.74 - 12471.6i) q^{38} +(-9937.46 + 7679.66i) q^{39} +(10781.2 + 13944.2i) q^{40} +(-1720.61 + 993.393i) q^{41} +(-1596.43 - 8813.59i) q^{42} +(-3464.26 - 2000.09i) q^{43} +(-2697.54 - 3832.51i) q^{44} +(-16615.6 + 16845.4i) q^{45} +(849.444 + 440.874i) q^{46} +(3539.24 - 6130.14i) q^{47} +(10685.8 - 11858.2i) q^{48} +(-3244.81 - 5620.18i) q^{49} +(1612.25 + 35919.1i) q^{50} +(19130.3 - 2585.43i) q^{51} +(25677.6 - 2309.76i) q^{52} -6234.98i q^{53} +(17693.4 + 12087.5i) q^{54} -14260.7i q^{55} +(-6974.04 + 17013.0i) q^{56} +(-40413.8 + 5461.87i) q^{57} +(-12742.9 + 571.975i) q^{58} +(-16724.9 - 28968.4i) q^{59} +(47357.5 - 10791.4i) q^{60} +(14717.5 - 25491.5i) q^{61} +(5377.25 - 10360.5i) q^{62} +(-23884.9 - 6224.39i) q^{63} +(-31588.4 + 8712.87i) q^{64} +(67938.0 + 39224.1i) q^{65} +(-12708.1 + 2301.86i) q^{66} +(-23308.8 + 13457.4i) q^{67} +(-35955.8 - 16659.6i) q^{68} +(2086.78 - 1612.66i) q^{69} +(-47149.6 + 30118.7i) q^{70} -36309.5 q^{71} +(-17260.6 - 40459.7i) q^{72} -38203.0 q^{73} +(-2124.43 + 1357.06i) q^{74} +(91668.6 + 37602.0i) q^{75} +(75958.5 + 35194.2i) q^{76} +(12883.4 - 7438.21i) q^{77} +(23987.6 - 66872.7i) q^{78} +(-54553.0 - 31496.2i) q^{79} +(-93860.1 - 33643.5i) q^{80} +(50727.5 - 30224.3i) q^{81} +(5177.38 - 9975.41i) q^{82} +(39957.8 - 69208.9i) q^{83} +(34450.2 + 37154.8i) q^{84} +(-60290.3 - 104426. i) q^{85} +(22605.7 - 1014.67i) q^{86} +(-13340.0 + 32521.1i) q^{87} +(24530.7 + 10055.7i) q^{88} +96604.3i q^{89} +(27911.5 - 130905. i) q^{90} +81835.0i q^{91} +(-5392.06 + 485.029i) q^{92} +(-19669.3 - 25452.0i) q^{93} +(1795.50 + 40001.6i) q^{94} +(127367. + 220605. i) q^{95} +(-14830.5 + 89071.8i) q^{96} +(-8318.60 + 14408.2i) q^{97} +(32583.6 + 16911.4i) q^{98} +(-8974.82 + 34439.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.76722 + 3.04525i −0.842734 + 0.538330i
\(3\) 2.08778 + 15.4480i 0.133931 + 0.990991i
\(4\) 13.4528 29.0348i 0.420402 0.907338i
\(5\) 84.3255 48.6853i 1.50846 0.870910i 0.508508 0.861057i \(-0.330197\pi\)
0.999951 0.00985262i \(-0.00313624\pi\)
\(6\) −56.9960 67.2863i −0.646348 0.763043i
\(7\) 87.9661 + 50.7872i 0.678532 + 0.391750i 0.799302 0.600930i \(-0.205203\pi\)
−0.120770 + 0.992681i \(0.538536\pi\)
\(8\) 24.2857 + 179.383i 0.134161 + 0.990960i
\(9\) −234.282 + 64.5040i −0.964125 + 0.265449i
\(10\) −253.739 + 488.886i −0.802394 + 1.54599i
\(11\) 73.2291 126.837i 0.182474 0.316055i −0.760248 0.649633i \(-0.774923\pi\)
0.942723 + 0.333578i \(0.108256\pi\)
\(12\) 476.617 + 147.202i 0.955468 + 0.295093i
\(13\) 402.832 + 697.726i 0.661098 + 1.14506i 0.980327 + 0.197378i \(0.0632427\pi\)
−0.319229 + 0.947678i \(0.603424\pi\)
\(14\) −574.014 + 25.7650i −0.782713 + 0.0351325i
\(15\) 928.145 + 1201.02i 1.06509 + 1.37823i
\(16\) −662.042 781.202i −0.646525 0.762893i
\(17\) 1238.37i 1.03927i −0.854389 0.519633i \(-0.826069\pi\)
0.854389 0.519633i \(-0.173931\pi\)
\(18\) 920.445 1020.95i 0.669602 0.742720i
\(19\) 2616.12i 1.66254i 0.555866 + 0.831272i \(0.312387\pi\)
−0.555866 + 0.831272i \(0.687613\pi\)
\(20\) −279.152 3103.33i −0.156051 1.73481i
\(21\) −600.908 + 1464.93i −0.297345 + 0.724886i
\(22\) 37.1500 + 827.659i 0.0163645 + 0.364582i
\(23\) −84.5912 146.516i −0.0333431 0.0577519i 0.848872 0.528598i \(-0.177282\pi\)
−0.882215 + 0.470846i \(0.843949\pi\)
\(24\) −2720.41 + 749.677i −0.964063 + 0.265672i
\(25\) 3178.02 5504.50i 1.01697 1.76144i
\(26\) −4045.15 2099.49i −1.17355 0.609088i
\(27\) −1485.59 3484.53i −0.392183 0.919887i
\(28\) 2657.99 1870.85i 0.640706 0.450965i
\(29\) 1952.82 + 1127.46i 0.431189 + 0.248947i 0.699853 0.714287i \(-0.253249\pi\)
−0.268664 + 0.963234i \(0.586582\pi\)
\(30\) −8082.08 2899.08i −1.63953 0.588108i
\(31\) −1787.03 + 1031.74i −0.333985 + 0.192826i −0.657609 0.753359i \(-0.728432\pi\)
0.323624 + 0.946186i \(0.395099\pi\)
\(32\) 5535.06 + 1708.08i 0.955537 + 0.294872i
\(33\) 2112.26 + 866.438i 0.337646 + 0.138501i
\(34\) 3771.14 + 5903.57i 0.559468 + 0.875825i
\(35\) 9890.37 1.36472
\(36\) −1278.90 + 7670.11i −0.164468 + 0.986382i
\(37\) 445.632 0.0535146 0.0267573 0.999642i \(-0.491482\pi\)
0.0267573 + 0.999642i \(0.491482\pi\)
\(38\) −7966.74 12471.6i −0.894997 1.40108i
\(39\) −9937.46 + 7679.66i −1.04620 + 0.808501i
\(40\) 10781.2 + 13944.2i 1.06541 + 1.37798i
\(41\) −1720.61 + 993.393i −0.159853 + 0.0922914i −0.577793 0.816184i \(-0.696086\pi\)
0.417939 + 0.908475i \(0.362752\pi\)
\(42\) −1596.43 8813.59i −0.139646 0.770956i
\(43\) −3464.26 2000.09i −0.285719 0.164960i 0.350291 0.936641i \(-0.386083\pi\)
−0.636010 + 0.771681i \(0.719416\pi\)
\(44\) −2697.54 3832.51i −0.210056 0.298436i
\(45\) −16615.6 + 16845.4i −1.22316 + 1.24008i
\(46\) 849.444 + 440.874i 0.0591889 + 0.0307199i
\(47\) 3539.24 6130.14i 0.233703 0.404786i −0.725192 0.688547i \(-0.758249\pi\)
0.958895 + 0.283761i \(0.0915822\pi\)
\(48\) 10685.8 11858.2i 0.669430 0.742875i
\(49\) −3244.81 5620.18i −0.193063 0.334395i
\(50\) 1612.25 + 35919.1i 0.0912026 + 2.03189i
\(51\) 19130.3 2585.43i 1.02990 0.139190i
\(52\) 25677.6 2309.76i 1.31688 0.118456i
\(53\) 6234.98i 0.304891i −0.988312 0.152446i \(-0.951285\pi\)
0.988312 0.152446i \(-0.0487149\pi\)
\(54\) 17693.4 + 12087.5i 0.825709 + 0.564096i
\(55\) 14260.7i 0.635675i
\(56\) −6974.04 + 17013.0i −0.297177 + 0.724955i
\(57\) −40413.8 + 5461.87i −1.64757 + 0.222666i
\(58\) −12742.9 + 571.975i −0.497393 + 0.0223258i
\(59\) −16724.9 28968.4i −0.625509 1.08341i −0.988442 0.151598i \(-0.951558\pi\)
0.362933 0.931815i \(1.61822\pi\)
\(60\) 47357.5 10791.4i 1.69829 0.386990i
\(61\) 14717.5 25491.5i 0.506420 0.877145i −0.493553 0.869716i \(-0.664302\pi\)
0.999972 0.00742891i \(-0.00236472\pi\)
\(62\) 5377.25 10360.5i 0.177656 0.342296i
\(63\) −23884.9 6224.39i −0.758179 0.197581i
\(64\) −31588.4 + 8712.87i −0.964002 + 0.265896i
\(65\) 67938.0 + 39224.1i 1.99448 + 1.15151i
\(66\) −12708.1 + 2301.86i −0.359105 + 0.0650458i
\(67\) −23308.8 + 13457.4i −0.634357 + 0.366246i −0.782437 0.622729i \(-0.786024\pi\)
0.148081 + 0.988975i \(0.452690\pi\)
\(68\) −35955.8 16659.6i −0.942966 0.436909i
\(69\) 2086.78 1612.66i 0.0527659 0.0407774i
\(70\) −47149.6 + 30118.7i −1.15009 + 0.734668i
\(71\) −36309.5 −0.854819 −0.427409 0.904058i \(-0.640574\pi\)
−0.427409 + 0.904058i \(0.640574\pi\)
\(72\) −17260.6 40459.7i −0.392397 0.919796i
\(73\) −38203.0 −0.839056 −0.419528 0.907742i \(-0.637804\pi\)
−0.419528 + 0.907742i \(0.637804\pi\)
\(74\) −2124.43 + 1357.06i −0.0450986 + 0.0288085i
\(75\) 91668.6 + 37602.0i 1.88177 + 0.771894i
\(76\) 75958.5 + 35194.2i 1.50849 + 0.698936i
\(77\) 12883.4 7438.21i 0.247629 0.142969i
\(78\) 23987.6 66872.7i 0.446426 1.24455i
\(79\) −54553.0 31496.2i −0.983448 0.567794i −0.0801384 0.996784i \(-0.525536\pi\)
−0.903309 + 0.428990i \(0.858870\pi\)
\(80\) −93860.1 33643.5i −1.63967 0.587728i
\(81\) 50727.5 30224.3i 0.859074 0.511851i
\(82\) 5177.38 9975.41i 0.0850307 0.163831i
\(83\) 39957.8 69208.9i 0.636658 1.10272i −0.349503 0.936935i \(-0.613650\pi\)
0.986161 0.165789i \(-0.0530170\pi\)
\(84\) 34450.2 + 37154.8i 0.532713 + 0.574535i
\(85\) −60290.3 104426.i −0.905107 1.56769i
\(86\) 22605.7 1014.67i 0.329588 0.0147938i
\(87\) −13340.0 + 32521.1i −0.188955 + 0.460646i
\(88\) 24530.7 + 10055.7i 0.337679 + 0.138423i
\(89\) 96604.3i 1.29277i 0.763011 + 0.646385i \(0.223720\pi\)
−0.763011 + 0.646385i \(0.776280\pi\)
\(90\) 27911.5 130905.i 0.363226 1.70353i
\(91\) 81835.0i 1.03594i
\(92\) −5392.06 + 485.029i −0.0664179 + 0.00597446i
\(93\) −19669.3 25452.0i −0.235820 0.305151i
\(94\) 1795.50 + 40001.6i 0.0209587 + 0.466937i
\(95\) 127367. + 220605.i 1.44793 + 2.50788i
\(96\) −14830.5 + 89071.8i −0.164239 + 0.986421i
\(97\) −8318.60 + 14408.2i −0.0897678 + 0.155482i −0.907413 0.420240i \(-0.861946\pi\)
0.817645 + 0.575723i \(0.195279\pi\)
\(98\) 32583.6 + 16911.4i 0.342716 + 0.177875i
\(99\) −8974.82 + 34439.1i −0.0920317 + 0.353154i
\(100\) −117069. 166324.i −1.17069 1.66324i
\(101\) 25178.9 + 14537.1i 0.245603 + 0.141799i 0.617749 0.786375i \(-0.288045\pi\)
−0.372146 + 0.928174i \(0.621378\pi\)
\(102\) −83325.2 + 70582.0i −0.793005 + 0.671728i
\(103\) 132194. 76322.2i 1.22777 0.708855i 0.261210 0.965282i \(-0.415879\pi\)
0.966564 + 0.256427i \(0.0825452\pi\)
\(104\) −115377. + 89206.0i −1.04601 + 0.808743i
\(105\) 20648.9 + 152787.i 0.182778 + 1.35242i
\(106\) 18987.1 + 29723.5i 0.164132 + 0.256942i
\(107\) −160032. −1.35129 −0.675645 0.737227i \(-0.736135\pi\)
−0.675645 + 0.737227i \(0.736135\pi\)
\(108\) −121158. 3743.01i −0.999523 0.0308789i
\(109\) 136775. 1.10265 0.551327 0.834289i \(-0.314122\pi\)
0.551327 + 0.834289i \(0.314122\pi\)
\(110\) 43427.6 + 67984.1i 0.342203 + 0.535705i
\(111\) 930.381 + 6884.13i 0.00716726 + 0.0530325i
\(112\) −18562.1 102343.i −0.139824 0.770923i
\(113\) 29144.4 16826.5i 0.214713 0.123965i −0.388787 0.921328i \(-0.627106\pi\)
0.603500 + 0.797363i \(0.293772\pi\)
\(114\) 176029. 149108.i 1.26859 1.07458i
\(115\) −14266.4 8236.70i −0.100593 0.0580776i
\(116\) 59006.6 41532.2i 0.407151 0.286576i
\(117\) −139383. 137481.i −0.941335 0.928489i
\(118\) 167947. + 87167.2i 1.11037 + 0.576299i
\(119\) 62893.2 108934.i 0.407133 0.705175i
\(120\) −192901. + 195661.i −1.22287 + 1.24037i
\(121\) 69800.5 + 120898.i 0.433406 + 0.750682i
\(122\) 7466.38 + 166342.i 0.0454162 + 1.01182i
\(123\) −18938.2 24506.0i −0.112869 0.146053i
\(124\) 5915.80 + 65765.9i 0.0345509 + 0.384102i
\(125\) 314609.i 1.80093i
\(126\) 132819. 43062.5i 0.745307 0.241642i
\(127\) 7342.22i 0.0403941i 0.999796 + 0.0201971i \(0.00642936\pi\)
−0.999796 + 0.0201971i \(0.993571\pi\)
\(128\) 124056. 137731.i 0.669258 0.743031i
\(129\) 23664.8 57691.7i 0.125207 0.305238i
\(130\) −443323. + 19898.8i −2.30071 + 0.103269i
\(131\) −104864. 181630.i −0.533886 0.924718i −0.999216 0.0395811i \(-0.987398\pi\)
0.465330 0.885137i \(1.65406\pi\)
\(132\) 53572.8 49673.0i 0.267614 0.248134i
\(133\) −132865. + 230130.i −0.651302 + 1.12809i
\(134\) 70137.3 135136.i 0.337433 0.650141i
\(135\) −294918. 221508.i −1.39273 1.04606i
\(136\) 222142. 30074.6i 1.02987 0.139429i
\(137\) −221740. 128022.i −1.00935 0.582749i −0.0983495 0.995152i \(-0.531356\pi\)
−0.911002 + 0.412403i \(0.864690\pi\)
\(138\) −5037.18 + 14042.7i −0.0225159 + 0.0627700i
\(139\) −31429.4 + 18145.7i −0.137974 + 0.0796595i −0.567398 0.823444i \(-0.692050\pi\)
0.429424 + 0.903103i \(0.358717\pi\)
\(140\) 133054. 287165.i 0.573729 1.23826i
\(141\) 102088. + 41875.8i 0.432439 + 0.177384i
\(142\) 173095. 110572.i 0.720385 0.460175i
\(143\) 117996. 0.482534
\(144\) 205495. + 140318.i 0.825840 + 0.563905i
\(145\) 219563. 0.867241
\(146\) 182122. 116338.i 0.707101 0.451689i
\(147\) 80046.2 61859.6i 0.305525 0.236110i
\(148\) 5995.02 12938.8i 0.0224976 0.0485558i
\(149\) −411222. + 237419.i −1.51744 + 0.876092i −0.517646 + 0.855595i \(0.673192\pi\)
−0.999790 + 0.0204977i \(0.993475\pi\)
\(150\) −551512. + 99897.0i −2.00137 + 0.362514i
\(151\) −103973. 60029.0i −0.371090 0.214249i 0.302844 0.953040i \(-0.402064\pi\)
−0.673935 + 0.738791i \(0.735397\pi\)
\(152\) −469287. + 63534.2i −1.64751 + 0.223048i
\(153\) 79879.7 + 290128.i 0.275872 + 1.00198i
\(154\) −38766.6 + 74692.7i −0.131721 + 0.253791i
\(155\) −100461. + 174004.i −0.335869 + 0.581742i
\(156\) 89290.3 + 391846.i 0.293760 + 1.28915i
\(157\) −111283. 192748.i −0.360312 0.624079i 0.627700 0.778456i \(-0.283997\pi\)
−0.988012 + 0.154376i \(0.950663\pi\)
\(158\) 355981. 15978.4i 1.13445 0.0509203i
\(159\) 96318.0 13017.2i 0.302144 0.0408344i
\(160\) 549905. 125442.i 1.69820 0.387384i
\(161\) 17184.6i 0.0522486i
\(162\) −149788. + 298564.i −0.448426 + 0.893820i
\(163\) 489772.i 1.44386i 0.691967 + 0.721929i \(0.256745\pi\)
−0.691967 + 0.721929i \(0.743255\pi\)
\(164\) 5695.92 + 63321.5i 0.0165369 + 0.183841i
\(165\) 220300. 29773.2i 0.629948 0.0851366i
\(166\) 20271.1 + 451616.i 0.0570961 + 1.27204i
\(167\) −43035.4 74539.6i −0.119408 0.206822i 0.800125 0.599833i \(-0.204766\pi\)
−0.919533 + 0.393012i \(0.871433\pi\)
\(168\) −277377. 72215.8i −0.758225 0.197405i
\(169\) −138901. + 240584.i −0.374102 + 0.647963i
\(170\) 605421. + 314222.i 1.60670 + 0.833901i
\(171\) −168750. 612910.i −0.441320 1.60290i
\(172\) −104676. + 73677.2i −0.269791 + 0.189894i
\(173\) −170126. 98222.4i −0.432171 0.249514i 0.268100 0.963391i \(-0.413604\pi\)
−0.700271 + 0.713877i \(0.746938\pi\)
\(174\) −35440.3 195659.i −0.0887410 0.489922i
\(175\) 559116. 322806.i 1.38009 0.796795i
\(176\) −147566. + 26764.3i −0.359090 + 0.0651291i
\(177\) 412586. 318846.i 0.989877 0.764976i
\(178\) −294185. 460534.i −0.695937 1.08946i
\(179\) 348859. 0.813799 0.406900 0.913473i \(-0.366610\pi\)
0.406900 + 0.913473i \(0.366610\pi\)
\(180\) 265578. + 709049.i 0.610957 + 1.63115i
\(181\) −35362.9 −0.0802326 −0.0401163 0.999195i \(-0.512773\pi\)
−0.0401163 + 0.999195i \(0.512773\pi\)
\(182\) −249208. 390126.i −0.557679 0.873024i
\(183\) 424521. + 174136.i 0.937068 + 0.384380i
\(184\) 24228.1 18732.5i 0.0527564 0.0407897i
\(185\) 37578.1 21695.7i 0.0807246 0.0466064i
\(186\) 171276. + 61437.4i 0.363005 + 0.130212i
\(187\) −157070. 90684.5i −0.328465 0.189640i
\(188\) −130375. 185229.i −0.269029 0.382221i
\(189\) 46288.1 381969.i 0.0942573 0.777811i
\(190\) −1.27898e6 663811.i −2.57028 1.33401i
\(191\) −434850. + 753182.i −0.862494 + 1.49388i 0.00701997 + 0.999975i \(0.497765\pi\)
−0.869514 + 0.493908i \(0.835568\pi\)
\(192\) −200546. 469788.i −0.392610 0.919705i
\(193\) 426577. + 738854.i 0.824336 + 1.42779i 0.902425 + 0.430846i \(0.141785\pi\)
−0.0780890 + 0.996946i \(0.524882\pi\)
\(194\) −4220.12 94019.5i −0.00805046 0.179355i
\(195\) −464094. + 1.13140e6i −0.874016 + 2.13073i
\(196\) −206833. + 18605.1i −0.384574 + 0.0345933i
\(197\) 259841.i 0.477026i −0.971139 0.238513i \(-0.923340\pi\)
0.971139 0.238513i \(-0.0766600\pi\)
\(198\) −62091.0 191510.i −0.112555 0.347158i
\(199\) 264379.i 0.473255i 0.971600 + 0.236627i \(0.0760420\pi\)
−0.971600 + 0.236627i \(0.923958\pi\)
\(200\) 1.06459e6 + 436402.i 1.88195 + 0.771458i
\(201\) −256553. 331979.i −0.447906 0.579590i
\(202\) −164303. + 7374.83i −0.283313 + 0.0127167i
\(203\) 114521. + 198357.i 0.195050 + 0.337837i
\(204\) 182290. 590227.i 0.306681 0.992987i
\(205\) −96727.3 + 167537.i −0.160755 + 0.278436i
\(206\) −397777. + 766409.i −0.653089 + 1.25832i
\(207\) 29269.1 + 28869.7i 0.0474770 + 0.0468291i
\(208\) 278373. 776617.i 0.446138 1.24465i
\(209\) 331819. + 191576.i 0.525455 + 0.303372i
\(210\) −563712. 665487.i −0.882083 1.04134i
\(211\) 889657. 513644.i 1.37568 0.794247i 0.384041 0.923316i \(-0.374532\pi\)
0.991636 + 0.129069i \(0.0411988\pi\)
\(212\) −181031. 83878.2i −0.276640 0.128177i
\(213\) −75806.1 560909.i −0.114487 0.847118i
\(214\) 762910. 487339.i 1.13878 0.727440i
\(215\) −389500. −0.574661
\(216\) 588986. 351113.i 0.858955 0.512051i
\(217\) −209597. −0.302159
\(218\) −652036. + 416514.i −0.929245 + 0.593592i
\(219\) −79759.4 590161.i −0.112376 0.831496i
\(220\) −414058. 191847.i −0.576772 0.267239i
\(221\) 864041. 498854.i 1.19002 0.687057i
\(222\) −25399.3 29985.0i −0.0345891 0.0408339i
\(223\) −524934. 303071.i −0.706875 0.408115i 0.103028 0.994678i \(-0.467147\pi\)
−0.809903 + 0.586564i \(0.800480\pi\)
\(224\) 400149. + 431364.i 0.532846 + 0.574412i
\(225\) −389492. + 1.49460e6i −0.512912 + 1.96820i
\(226\) −87696.8 + 168968.i −0.114212 + 0.220056i
\(227\) 85552.8 148182.i 0.110197 0.190867i −0.805653 0.592388i \(-0.798185\pi\)
0.915850 + 0.401522i \(0.131519\pi\)
\(228\) −385097. + 1.24689e6i −0.490606 + 1.58851i
\(229\) −689040. 1.19345e6i −0.868271 1.50389i −0.863762 0.503900i \(-0.831898\pi\)
−0.00450932 0.999990i \(-0.501435\pi\)
\(230\) 93093.9 4178.57i 0.116038 0.00520845i
\(231\) 141803. + 183493.i 0.174846 + 0.226250i
\(232\) −154822. + 377684.i −0.188848 + 0.460689i
\(233\) 1.36894e6i 1.65194i 0.563711 + 0.825972i \(0.309373\pi\)
−0.563711 + 0.825972i \(0.690627\pi\)
\(234\) 1.08313e6 + 230945.i 1.29313 + 0.275721i
\(235\) 689236.i 0.814138i
\(236\) −1.06609e6 + 95897.3i −1.24599 + 0.112080i
\(237\) 372659. 908493.i 0.430964 1.05063i
\(238\) 31906.5 + 710840.i 0.0365121 + 0.813447i
\(239\) −155455. 269255.i −0.176039 0.304908i 0.764481 0.644646i \(-0.222995\pi\)
−0.940520 + 0.339737i \(0.889662\pi\)
\(240\) 323767. 1.52019e6i 0.362831 1.70361i
\(241\) 196168. 339774.i 0.217564 0.376832i −0.736499 0.676439i \(-0.763522\pi\)
0.954063 + 0.299607i \(0.0968557\pi\)
\(242\) −700920. 363788.i −0.769361 0.399309i
\(243\) 572813. + 720537.i 0.622297 + 0.782781i
\(244\) −542149. 770255.i −0.582967 0.828247i
\(245\) −547241. 315950.i −0.582456 0.336281i
\(246\) 164910. + 59153.9i 0.173743 + 0.0623226i
\(247\) −1.82533e6 + 1.05386e6i −1.90371 + 1.09910i
\(248\) −228476. 295506.i −0.235891 0.305096i
\(249\) 1.15256e6 + 472776.i 1.17806 + 0.483233i
\(250\) 958065. + 1.49981e6i 0.969493 + 1.51770i
\(251\) 241581. 0.242035 0.121017 0.992650i \(-0.461384\pi\)
0.121017 + 0.992650i \(0.461384\pi\)
\(252\) −502044. + 609758.i −0.498012 + 0.604861i
\(253\) −24778.1 −0.0243370
\(254\) −22358.9 35002.0i −0.0217454 0.0340415i
\(255\) 1.48730e6 1.14938e6i 1.43235 1.10692i
\(256\) −171977. + 1.03438e6i −0.164010 + 0.986459i
\(257\) −231851. + 133859.i −0.218966 + 0.126420i −0.605471 0.795867i \(-0.707015\pi\)
0.386506 + 0.922287i \(0.373682\pi\)
\(258\) 62870.3 + 347095.i 0.0588026 + 0.324637i
\(259\) 39200.5 + 22632.4i 0.0363113 + 0.0209644i
\(260\) 2.05282e6 1.44489e6i 1.88329 1.32557i
\(261\) −530237. 138180.i −0.481802 0.125557i
\(262\) 1.05302e6 + 546533.i 0.947728 + 0.491885i
\(263\) 829311. 1.43641e6i 0.739313 1.28053i −0.213493 0.976945i \(-0.568484\pi\)
0.952805 0.303582i \(-0.0981827\pi\)
\(264\) −104126. + 399945.i −0.0919499 + 0.353175i
\(265\) −303552. 525767.i −0.265533 0.459916i
\(266\) −67404.2 1.50169e6i −0.0584094 1.30129i
\(267\) −1.49234e6 + 201688.i −1.28112 + 0.173142i
\(268\) 77161.9 + 857808.i 0.0656245 + 0.729546i
\(269\) 1.42634e6i 1.20183i 0.799312 + 0.600916i \(0.205197\pi\)
−0.799312 + 0.600916i \(0.794803\pi\)
\(270\) 2.08049e6 + 157877.i 1.73683 + 0.131798i
\(271\) 1.91215e6i 1.58161i 0.612068 + 0.790805i \(0.290338\pi\)
−0.612068 + 0.790805i \(0.709662\pi\)
\(272\) −967415. + 819851.i −0.792849 + 0.671912i
\(273\) −1.26419e6 + 170853.i −1.02661 + 0.138745i
\(274\) 1.44694e6 64946.8i 1.16433 0.0522615i
\(275\) −465447. 806179.i −0.371141 0.642835i
\(276\) −18750.2 82284.1i −0.0148161 0.0650194i
\(277\) 169154. 292983.i 0.132459 0.229426i −0.792165 0.610307i \(-0.791046\pi\)
0.924624 + 0.380881i \(0.124379\pi\)
\(278\) 94572.4 182215.i 0.0733926 0.141408i
\(279\) 352118. 356989.i 0.270818 0.274565i
\(280\) 240195. + 1.77416e6i 0.183091 + 1.35238i
\(281\) 817291. + 471863.i 0.617463 + 0.356492i 0.775881 0.630880i \(-0.217306\pi\)
−0.158418 + 0.987372i \(0.550639\pi\)
\(282\) −614197. + 111251.i −0.459923 + 0.0833072i
\(283\) 1.92014e6 1.10859e6i 1.42517 0.822821i 0.428434 0.903573i \(-0.359065\pi\)
0.996734 + 0.0807515i \(0.0257320\pi\)
\(284\) −488466. + 1.05424e6i −0.359367 + 0.775610i
\(285\) −3.14200e6 + 2.42813e6i −2.29136 + 1.77076i
\(286\) −562514. + 359328.i −0.406648 + 0.259763i
\(287\) −201807. −0.144621
\(288\) −1.40695e6 43139.2i −0.999530 0.0306472i
\(289\) −113695. −0.0800752
\(290\) −1.04671e6 + 668626.i −0.730854 + 0.466862i
\(291\) −239946. 98424.6i −0.166104 0.0681352i
\(292\) −513940. + 1.10922e6i −0.352740 + 0.761307i
\(293\) 1.18621e6 684857.i 0.807219 0.466048i −0.0387699 0.999248i \(-0.512344\pi\)
0.845989 + 0.533200i \(0.179011\pi\)
\(294\) −193220. + 538660.i −0.130372 + 0.363451i
\(295\) −2.82067e6 1.62851e6i −1.88711 1.08952i
\(296\) 10822.5 + 79938.8i 0.00717956 + 0.0530308i
\(297\) −550754. 66741.9i −0.362298 0.0439043i
\(298\) 1.23739e6 2.38410e6i 0.807169 1.55519i
\(299\) 68152.1 118043.i 0.0440861 0.0763593i
\(300\) 2.32497e6 2.15573e6i 1.49147 1.38290i
\(301\) −203158. 351880.i −0.129246 0.223861i
\(302\) 678467. 30453.4i 0.428067 0.0192140i
\(303\) −172001. + 419315.i −0.107628 + 0.262382i
\(304\) 2.04372e6 1.73198e6i 1.26834 1.07488i
\(305\) 2.86611e6i 1.76418i
\(306\) −1.26432e6 1.13985e6i −0.771884 0.695895i
\(307\) 809224.i 0.490030i 0.969519 + 0.245015i \(0.0787929\pi\)
−0.969519 + 0.245015i \(0.921207\pi\)
\(308\) −42649.2 474131.i −0.0256174 0.284788i
\(309\) 1.45502e6 + 1.88279e6i 0.866906 + 1.12177i
\(310\) −50965.2 1.13545e6i −0.0301210 0.671062i
\(311\) 35523.7 + 61528.8i 0.0208265 + 0.0360726i 0.876251 0.481855i \(-0.160037\pi\)
−0.855424 + 0.517928i \(0.826704\pi\)
\(312\) −1.61894e6 1.59610e6i −0.941550 0.928271i
\(313\) 893740. 1.54800e6i 0.515644 0.893122i −0.484191 0.874963i \(-0.660886\pi\)
0.999835 0.0181599i \(-0.00578080\pi\)
\(314\) 1.11748e6 + 579986.i 0.639608 + 0.331966i
\(315\) −2.31714e6 + 637969.i −1.31576 + 0.362262i
\(316\) −1.64838e6 + 1.16022e6i −0.928624 + 0.653618i
\(317\) −287153. 165788.i −0.160496 0.0926627i 0.417601 0.908631i \(-0.362871\pi\)
−0.578097 + 0.815968i \(0.696204\pi\)
\(318\) −419529. + 355369.i −0.232645 + 0.197066i
\(319\) 286007. 165126.i 0.157362 0.0908529i
\(320\) −2.23952e6 + 2.27261e6i −1.22259 + 1.24065i
\(321\) −334112. 2.47218e6i −0.180980 1.33912i
\(322\) 52331.5 + 81922.9i 0.0281270 + 0.0440317i
\(323\) 3.23971e6 1.72783
\(324\) −195129. 1.87947e6i −0.103266 0.994654i
\(325\) 5.12084e6 2.68926
\(326\) −1.49148e6 2.33485e6i −0.777273 1.21679i
\(327\) 285555. + 2.11290e6i 0.147680 + 1.09272i
\(328\) −219984. 284522.i −0.112903 0.146026i
\(329\) 622666. 359496.i 0.317150 0.183107i
\(330\) −959552. + 812805.i −0.485047 + 0.410867i
\(331\) 2.05838e6 + 1.18840e6i 1.03265 + 0.596203i 0.917744 0.397173i \(-0.130009\pi\)
0.114910 + 0.993376i \(0.463342\pi\)
\(332\) −1.47192e6 2.09122e6i −0.732891 1.04125i
\(333\) −104404. + 28745.1i −0.0515947 + 0.0142054i
\(334\) 432152. + 224293.i 0.211968 + 0.110014i
\(335\) −1.31035e6 + 2.26960e6i −0.637934 + 1.10493i
\(336\) 1.54224e6 500416.i 0.745251 0.241815i
\(337\) −62983.9 109091.i −0.0302103 0.0523257i 0.850525 0.525935i \(-0.176284\pi\)
−0.880735 + 0.473609i \(0.842951\pi\)
\(338\) −70466.3 1.56991e6i −0.0335498 0.747450i
\(339\) 320783. + 415093.i 0.151605 + 0.196176i
\(340\) −3.84306e6 + 345693.i −1.80294 + 0.162178i
\(341\) 302214.i 0.140743i
\(342\) 2.67094e6 + 2.40799e6i 1.23480 + 1.11324i
\(343\) 2.36634e6i 1.08603i
\(344\) 274650. 670002.i 0.125136 0.305267i
\(345\) 97455.6 237584.i 0.0440818 0.107465i
\(346\) 1.11014e6 49829.4i 0.498526 0.0223767i
\(347\) −577346. 999992.i −0.257402 0.445834i 0.708143 0.706069i \(-0.249533\pi\)
−0.965545 + 0.260235i \(0.916200\pi\)
\(348\) 764783. + 824825.i 0.338525 + 0.365102i
\(349\) −1.82275e6 + 3.15709e6i −0.801056 + 1.38747i 0.117865 + 0.993030i \(0.462395\pi\)
−0.918922 + 0.394440i \(0.870938\pi\)
\(350\) −1.68241e6 + 3.24154e6i −0.734110 + 1.41443i
\(351\) 1.83280e6 2.44021e6i 0.794050 1.05721i
\(352\) 621974. 576967.i 0.267557 0.248196i
\(353\) 990369. + 571790.i 0.423020 + 0.244230i 0.696368 0.717685i \(-0.254798\pi\)
−0.273349 + 0.961915i \(0.588131\pi\)
\(354\) −995923. + 2.77644e6i −0.422394 + 1.17755i
\(355\) −3.06181e6 + 1.76774e6i −1.28946 + 0.744470i
\(356\) 2.80489e6 + 1.29960e6i 1.17298 + 0.543483i
\(357\) 1.81413e6 + 744145.i 0.753350 + 0.309020i
\(358\) −1.66309e6 + 1.06236e6i −0.685816 + 0.438093i
\(359\) −111222. −0.0455466 −0.0227733 0.999741i \(-0.507250\pi\)
−0.0227733 + 0.999741i \(0.507250\pi\)
\(360\) −3.42530e6 2.57144e6i −1.39297 1.04573i
\(361\) −4.36797e6 −1.76405
\(362\) 168583. 107689.i 0.0676148 0.0431916i
\(363\) −1.72191e6 + 1.33069e6i −0.685872 + 0.530041i
\(364\) 2.37606e6 + 1.10091e6i 0.939950 + 0.435512i
\(365\) −3.22149e6 + 1.85993e6i −1.26568 + 0.730742i
\(366\) −2.55407e6 + 462627.i −0.996622 + 0.180521i
\(367\) 3.77385e6 + 2.17883e6i 1.46258 + 0.844421i 0.999130 0.0417025i \(-0.0132782\pi\)
0.463450 + 0.886123i \(0.346612\pi\)
\(368\) −58455.9 + 163083.i −0.0225014 + 0.0627752i
\(369\) 339030. 343721.i 0.129620 0.131413i
\(370\) −113074. + 217863.i −0.0429398 + 0.0827333i
\(371\) 316657. 548466.i 0.119441 0.206878i
\(372\) −1.00360e6 + 228692.i −0.376014 + 0.0856828i
\(373\) −1.34963e6 2.33763e6i −0.502277 0.869970i −0.999997 0.00263144i \(-0.999162\pi\)
0.497719 0.867338i \(-0.334171\pi\)
\(374\) 1.02495e6 46005.3i 0.378898 0.0170070i
\(375\) 4.86009e6 656834.i 1.78470 0.241200i
\(376\) 1.18559e6 + 486004.i 0.432481 + 0.177284i
\(377\) 1.81671e6i 0.658313i
\(378\) 942528. + 1.96189e6i 0.339285 + 0.706229i
\(379\) 2.05325e6i 0.734249i 0.930172 + 0.367125i \(0.119658\pi\)
−0.930172 + 0.367125i \(0.880342\pi\)
\(380\) 8.11868e6 730295.i 2.88421 0.259441i
\(381\) −113423. + 15328.9i −0.0400302 + 0.00541003i
\(382\) −220605. 4.91482e6i −0.0773492 1.72325i
\(383\) 2.72270e6 + 4.71586e6i 0.948426 + 1.64272i 0.748741 + 0.662862i \(0.230658\pi\)
0.199685 + 0.979860i \(0.436008\pi\)
\(384\) 2.38667e6 + 1.62887e6i 0.825971 + 0.563713i
\(385\) 724263. 1.25446e6i 0.249026 0.431326i
\(386\) −4.28359e6 2.22324e6i −1.46332 0.759484i
\(387\) 940629. + 245127.i 0.319257 + 0.0831983i
\(388\) 306432. + 435361.i 0.103337 + 0.146815i
\(389\) 2.51571e6 + 1.45244e6i 0.842919 + 0.486660i 0.858255 0.513223i \(-0.171549\pi\)
−0.0153362 + 0.999882i \(0.504882\pi\)
\(390\) −1.23296e6 6.80692e6i −0.410475 2.26615i
\(391\) −181441. + 104755.i −0.0600196 + 0.0346523i
\(392\) 929361. 718554.i 0.305471 0.236180i
\(393\) 2.58689e6 1.99915e6i 0.844883 0.652925i
\(394\) 791283. + 1.23872e6i 0.256798 + 0.402006i
\(395\) −6.13361e6 −1.97799
\(396\) 879197. + 723887.i 0.281740 + 0.231970i
\(397\) −1.59810e6 −0.508896 −0.254448 0.967086i \(-0.581894\pi\)
−0.254448 + 0.967086i \(0.581894\pi\)
\(398\) −805103. 1.26036e6i −0.254767 0.398828i
\(399\) −3.83244e6 1.57205e6i −1.20516 0.494349i
\(400\) −6.40411e6 + 1.16153e6i −2.00128 + 0.362978i
\(401\) −1.48732e6 + 858705.i −0.461895 + 0.266675i −0.712841 0.701326i \(-0.752592\pi\)
0.250945 + 0.968001i \(0.419259\pi\)
\(402\) 2.23401e6 + 801350.i 0.689477 + 0.247319i
\(403\) −1.43974e6 831237.i −0.441594 0.254954i
\(404\) 760810. 535501.i 0.231912 0.163233i
\(405\) 2.80614e6 5.01836e6i 0.850102 1.52028i
\(406\) −1.15000e6 596864.i −0.346243 0.179705i
\(407\) 32633.2 56522.4i 0.00976504 0.0169135i
\(408\) 928375. + 3.36886e6i 0.276104 + 1.00192i
\(409\) 2.74998e6 + 4.76310e6i 0.812870 + 1.40793i 0.910847 + 0.412744i \(0.135430\pi\)
−0.0979768 + 0.995189i \(0.531237\pi\)
\(410\) −49070.9 1.09324e6i −0.0144167 0.321187i
\(411\) 1.51474e6 3.69272e6i 0.442316 1.07831i
\(412\) −437616. 4.86498e6i −0.127014 1.41201i
\(413\) 3.39765e6i 0.980174i
\(414\) −227448. 48496.4i −0.0652201 0.0139062i
\(415\) 7.78143e6i 2.21789i
\(416\) 1.03793e6 + 4.55003e6i 0.294059 + 1.28908i
\(417\) −345933. 447637.i −0.0974209 0.126062i
\(418\) −2.16525e6 + 97188.7i −0.606133 + 0.0272067i
\(419\) −3.22137e6 5.57958e6i −0.896408 1.55262i −0.832052 0.554698i \(-0.812834\pi\)
−0.0643564 0.997927i \(1.47950\pi\)
\(420\) 4.71392e6 + 1.45588e6i 1.30394 + 0.402719i
\(421\) −1.68713e6 + 2.92220e6i −0.463921 + 0.803535i −0.999152 0.0411706i \(-0.986891\pi\)
0.535231 + 0.844706i \(0.320225\pi\)
\(422\) −2.67702e6 + 5.15789e6i −0.731762 + 1.40991i
\(423\) −433762. + 1.66448e6i −0.117869 + 0.452301i
\(424\) 1.11845e6 151421.i 0.302135 0.0409044i
\(425\) −6.81659e6 3.93556e6i −1.83060 1.05690i
\(426\) 2.06950e6 + 2.44313e6i 0.552511 + 0.652263i
\(427\) 2.58929e6 1.49493e6i 0.687244 0.396780i
\(428\) −2.15289e6 + 4.64651e6i −0.568084 + 1.22608i
\(429\) 246350. + 1.82281e6i 0.0646262 + 0.478187i
\(430\) 1.85684e6 1.18613e6i 0.484287 0.309357i
\(431\) −1.69209e6 −0.438763 −0.219382 0.975639i \(-0.570404\pi\)
−0.219382 + 0.975639i \(0.570404\pi\)
\(432\) −1.73860e6 + 3.46745e6i −0.448219 + 0.893924i
\(433\) −3.34335e6 −0.856964 −0.428482 0.903550i \(-0.640951\pi\)
−0.428482 + 0.903550i \(0.640951\pi\)
\(434\) 999196. 638276.i 0.254640 0.162661i
\(435\) 458399. + 3.39182e6i 0.116150 + 0.859428i
\(436\) 1.84001e6 3.97123e6i 0.463558 1.00048i
\(437\) 383304. 221300.i 0.0960150 0.0554343i
\(438\) 2.17742e6 + 2.57054e6i 0.542322 + 0.640235i
\(439\) −4.12524e6 2.38171e6i −1.02162 0.589831i −0.107045 0.994254i \(-0.534139\pi\)
−0.914572 + 0.404424i \(0.867472\pi\)
\(440\) 2.55813e6 346332.i 0.629928 0.0852826i
\(441\) 1.12273e6 + 1.10741e6i 0.274902 + 0.271150i
\(442\) −2.59994e6 + 5.00937e6i −0.633005 + 1.21963i
\(443\) 2.19145e6 3.79571e6i 0.530546 0.918932i −0.468819 0.883294i \(-0.655320\pi\)
0.999365 0.0356380i \(-0.0113463\pi\)
\(444\) 212396. + 65597.7i 0.0511315 + 0.0157918i
\(445\) 4.70321e6 + 8.14620e6i 1.12589 + 1.95009i
\(446\) 3.42541e6 153751.i 0.815408 0.0366001i
\(447\) −4.52619e6 5.85688e6i −1.07143 1.38643i
\(448\) −3.22121e6 837851.i −0.758271 0.197229i
\(449\) 2.64215e6i 0.618502i −0.950981 0.309251i \(-0.899922\pi\)
0.950981 0.309251i \(-0.100078\pi\)
\(450\) −2.69465e6 8.31121e6i −0.627293 1.93479i
\(451\) 290981.i 0.0673633i
\(452\) −96480.0 1.07257e6i −0.0222122 0.246932i
\(453\) 710256. 1.73151e6i 0.162618 0.396441i
\(454\) 43401.9 + 966946.i 0.00988256 + 0.220172i
\(455\) 3.98416e6 + 6.90077e6i 0.902212 + 1.56268i
\(456\) −1.96124e6 7.11690e6i −0.441692 1.60280i
\(457\) 1.74172e6 3.01674e6i 0.390110 0.675690i −0.602354 0.798229i \(-0.705770\pi\)
0.992464 + 0.122539i \(0.0391037\pi\)
\(458\) 6.91917e6 + 3.59115e6i 1.54131 + 0.799963i
\(459\) −4.31512e6 + 1.83970e6i −0.956008 + 0.407583i
\(460\) −431075. + 303415.i −0.0949856 + 0.0668563i
\(461\) 2.93883e6 + 1.69673e6i 0.644054 + 0.371845i 0.786174 0.618005i \(-0.212059\pi\)
−0.142121 + 0.989849i \(0.545392\pi\)
\(462\) −1.23479e6 442925.i −0.269146 0.0965440i
\(463\) 167674. 96806.8i 0.0363508 0.0209871i −0.481714 0.876328i \(-0.659986\pi\)
0.518065 + 0.855341i \(0.326652\pi\)
\(464\) −412073. 2.27197e6i −0.0888545 0.489901i
\(465\) −2.89776e6 1.18865e6i −0.621484 0.254929i
\(466\) −4.16878e6 6.52605e6i −0.889291 1.39215i
\(467\) −3.24407e6 −0.688332 −0.344166 0.938909i \(-0.611838\pi\)
−0.344166 + 0.938909i \(0.611838\pi\)
\(468\) −5.86682e6 + 2.19745e6i −1.23819 + 0.463771i
\(469\) −2.73385e6 −0.573908
\(470\) 2.09890e6 + 3.28574e6i 0.438275 + 0.686102i
\(471\) 2.74523e6 2.12151e6i 0.570200 0.440650i
\(472\) 4.79025e6 3.70368e6i 0.989700 0.765206i
\(473\) −507369. + 292930.i −0.104273 + 0.0602020i
\(474\) 990043. + 5.46583e6i 0.202399 + 1.11740i
\(475\) 1.44004e7 + 8.31408e6i 2.92847 + 1.69075i
\(476\) −2.31679e6 3.29157e6i −0.468673 0.665864i
\(477\) 402181. + 1.46074e6i 0.0809330 + 0.293953i
\(478\) 1.56104e6 + 810201.i 0.312495 + 0.162190i
\(479\) −4.10699e6 + 7.11352e6i −0.817871 + 1.41659i 0.0893767 + 0.995998i \(0.471513\pi\)
−0.907248 + 0.420596i \(0.861821\pi\)
\(480\) 3.08590e6 + 8.23305e6i 0.611335 + 1.63101i
\(481\) 179515. + 310929.i 0.0353784 + 0.0612772i
\(482\) 99518.6 + 2.21716e6i 0.0195113 + 0.434690i
\(483\) 265468. 35877.6i 0.0517779 0.00699771i
\(484\) 4.44927e6 400222.i 0.863327 0.0776583i
\(485\) 1.61997e6i 0.312719i
\(486\) −4.92495e6 1.69060e6i −0.945825 0.324676i
\(487\) 1.63906e6i 0.313165i −0.987665 0.156583i \(-0.949952\pi\)
0.987665 0.156583i \(-0.0500477\pi\)
\(488\) 4.93017e6 + 2.02100e6i 0.937157 + 0.384163i
\(489\) −7.56600e6 + 1.02253e6i −1.43085 + 0.193377i
\(490\) 3.57097e6 160285.i 0.671886 0.0301580i
\(491\) 2.03219e6 + 3.51985e6i 0.380417 + 0.658902i 0.991122 0.132957i \(-0.0424471\pi\)
−0.610705 + 0.791858i \(0.709114\pi\)
\(492\) −966299. + 220192.i −0.179970 + 0.0410099i
\(493\) 1.39621e6 2.41831e6i 0.258722 0.448120i
\(494\) 5.49251e6 1.05826e7i 1.01264 1.95107i
\(495\) 919875. + 3.34104e6i 0.168739 + 0.612870i
\(496\) 1.98908e6 + 712974.i 0.363036 + 0.130128i
\(497\) −3.19400e6 1.84406e6i −0.580022 0.334876i
\(498\) −6.93425e6 + 1.25602e6i −1.25293 + 0.226947i
\(499\) −2.92199e6 + 1.68701e6i −0.525325 + 0.303296i −0.739111 0.673584i \(-0.764754\pi\)
0.213786 + 0.976881i \(0.431421\pi\)
\(500\) −9.13462e6 4.23239e6i −1.63405 0.757113i
\(501\) 1.06164e6 820434.i 0.188966 0.146032i
\(502\) −1.15167e6 + 735674.i −0.203971 + 0.130295i
\(503\) 7.37612e6 1.29989 0.649947 0.759979i \(-0.274791\pi\)
0.649947 + 0.759979i \(0.274791\pi\)
\(504\) 536488. 4.43570e6i 0.0940770 0.777832i
\(505\) 2.83097e6 0.493977
\(506\) 118123. 75455.7i 0.0205096 0.0131013i
\(507\) −4.00654e6 1.64346e6i −0.692229 0.283949i
\(508\) 213180. + 98773.8i 0.0366511 + 0.0169818i
\(509\) −5.72270e6 + 3.30400e6i −0.979054 + 0.565257i −0.901984 0.431769i \(-0.857890\pi\)
−0.0770693 + 0.997026i \(0.524556\pi\)
\(510\) −3.59012e6 + 1.00086e7i −0.611201 + 1.70391i
\(511\) −3.36057e6 1.94023e6i −0.569326 0.328700i
\(512\) −2.33009e6 5.45482e6i −0.392823 0.919614i
\(513\) 9.11593e6 3.88647e6i 1.52935 0.652022i
\(514\) 697650. 1.34418e6i 0.116474 0.224414i
\(515\) 7.43154e6 1.28718e7i 1.23470 2.13856i
\(516\) −1.35671e6 1.46322e6i −0.224317 0.241928i
\(517\) −518350. 897809.i −0.0852898 0.147726i
\(518\) −255799. + 11481.7i −0.0418866 + 0.00188010i
\(519\) 1.16216e6 2.83318e6i 0.189385 0.461695i
\(520\) −5.38620e6 + 1.31395e7i −0.873523 + 2.13094i
\(521\) 1.91733e6i 0.309459i −0.987957 0.154730i \(-0.950549\pi\)
0.987957 0.154730i \(-0.0494506\pi\)
\(522\) 2.94855e6 955975.i 0.473623 0.153557i
\(523\) 5.16891e6i 0.826313i 0.910660 + 0.413157i \(0.135574\pi\)
−0.910660 + 0.413157i \(0.864426\pi\)
\(524\) −6.68432e6 + 601271.i −1.06348 + 0.0956625i
\(525\) 6.15402e6 + 7.96329e6i 0.974453 + 1.26094i
\(526\) 420719. + 9.37315e6i 0.0663022 + 1.47714i
\(527\) 1.27767e6 + 2.21300e6i 0.200398 + 0.347100i
\(528\) −721540. 2.22372e6i −0.112636 0.347132i
\(529\) 3.20386e6 5.54925e6i 0.497776 0.862174i
\(530\) 3.04819e6 + 1.58206e6i 0.471360 + 0.244643i
\(531\) 5.78693e6 + 5.70796e6i 0.890660 + 0.878505i
\(532\) 4.89435e6 + 6.95362e6i 0.749750 + 1.06520i
\(533\) −1.38623e6 800342.i −0.211358 0.122027i
\(534\) 6.50015e6 5.50606e6i 0.986439 0.835580i
\(535\) −1.34948e7 + 7.79123e6i −2.03837 + 1.17685i
\(536\) −2.98009e6 3.85438e6i −0.448041 0.579486i
\(537\) 728340. + 5.38918e6i 0.108993 + 0.806467i
\(538\) −4.34358e6 6.79970e6i −0.646982 1.01282i
\(539\) −950459. −0.140916
\(540\) −1.03989e7 + 5.58299e6i −1.53463 + 0.823915i
\(541\) 3.10786e6 0.456528 0.228264 0.973599i \(-0.426695\pi\)
0.228264 + 0.973599i \(0.426695\pi\)
\(542\) −5.82299e6 9.11566e6i −0.851428 1.33288i
\(543\) −73829.8 546286.i −0.0107456 0.0795098i
\(544\) 2.11523e6 6.85444e6i 0.306450 0.993058i
\(545\) 1.15336e7 6.65892e6i 1.66331 0.960313i
\(546\) 5.50638e6 4.66427e6i 0.790468 0.669579i
\(547\) 3.78249e6 + 2.18382e6i 0.540517 + 0.312068i 0.745288 0.666742i \(-0.232312\pi\)
−0.204772 + 0.978810i \(0.565645\pi\)
\(548\) −6.70011e6 + 4.71592e6i −0.953083 + 0.670834i
\(549\) −1.80375e6 + 6.92156e6i −0.255415 + 0.980106i
\(550\) 4.67391e6 + 2.42583e6i 0.658831 + 0.341943i
\(551\) −2.94957e6 + 5.10881e6i −0.413885 + 0.716870i
\(552\) 339962. + 335167.i 0.0474879 + 0.0468181i
\(553\) −3.19921e6 5.54120e6i −0.444867 0.770532i
\(554\) 85813.8 + 1.91183e6i 0.0118791 + 0.264652i
\(555\) 413611. + 535212.i 0.0569980 + 0.0737553i
\(556\) 104044. + 1.15666e6i 0.0142735 + 0.158678i
\(557\) 4.46009e6i 0.609124i 0.952493 + 0.304562i \(0.0985100\pi\)
−0.952493 + 0.304562i \(0.901490\pi\)
\(558\) −591500. + 2.77414e6i −0.0804210 + 0.377174i
\(559\) 3.22281e6i 0.436219i
\(560\) −6.54784e6 7.72638e6i −0.882324 1.04113i
\(561\) 1.07297e6 2.61575e6i 0.143939 0.350905i
\(562\) −5.33315e6 + 239382.i −0.712268 + 0.0319706i
\(563\) −5.22200e6 9.04476e6i −0.694330 1.20261i −0.970406 0.241478i \(-0.922368\pi\)
0.276077 0.961136i \(1.58903\pi\)
\(564\) 2.58923e6 2.40075e6i 0.342746 0.317796i
\(565\) 1.63841e6 2.83781e6i 0.215924 0.373992i
\(566\) −5.77778e6 + 1.11322e7i −0.758089 + 1.46063i
\(567\) 5.99731e6 82407.2i 0.783427 0.0107648i
\(568\) −881801. 6.51330e6i −0.114683 0.847091i
\(569\) 2.55116e6 + 1.47291e6i 0.330337 + 0.190720i 0.655991 0.754769i \(-0.272251\pi\)
−0.325654 + 0.945489i \(0.605584\pi\)
\(570\) 7.58433e6 2.11437e7i 0.977756 2.72579i
\(571\) 199833. 115373.i 0.0256493 0.0148086i −0.487121 0.873335i \(-0.661953\pi\)
0.512770 + 0.858526i \(0.328619\pi\)
\(572\) 1.58738e6 3.42600e6i 0.202858 0.437821i
\(573\) −1.25430e7 5.14509e6i −1.59594 0.654646i
\(574\) 962058. 614553.i 0.121877 0.0778538i
\(575\) −1.07533e6 −0.135635
\(576\) 6.83859e6 4.07885e6i 0.858837 0.512250i
\(577\) 4.42964e6 0.553897 0.276949 0.960885i \(-0.410677\pi\)
0.276949 + 0.960885i \(0.410677\pi\)
\(578\) 542011. 346231.i 0.0674821 0.0431069i
\(579\) −1.05232e7 + 8.13233e6i −1.30452 + 1.00814i
\(580\) 2.95375e6 6.37498e6i 0.364589 0.786881i
\(581\) 7.02986e6 4.05869e6i 0.863985 0.498822i
\(582\) 1.44360e6 261484.i 0.176661 0.0319991i
\(583\) −790822. 456582.i −0.0963624 0.0556349i
\(584\) −927787. 6.85297e6i −0.112568 0.831470i
\(585\) −1.84468e7 4.80723e6i −2.22860 0.580771i
\(586\) −3.56935e6 + 6.87717e6i −0.429383 + 0.827305i
\(587\) 509131. 881841.i 0.0609866 0.105632i −0.833920 0.551885i \(-0.813909\pi\)
0.894907 + 0.446253i \(0.147242\pi\)
\(588\) −719233. 3.15631e6i −0.0857880 0.376476i
\(589\) −2.69915e6 4.67507e6i −0.320582 0.555265i
\(590\) 1.84060e7 826165.i 2.17686 0.0977095i
\(591\) 4.01403e6 542491.i 0.472729 0.0638886i
\(592\) −295027. 348129.i −0.0345985 0.0408259i
\(593\) 1.12943e6i 0.131893i 0.997823 + 0.0659466i \(0.0210067\pi\)
−0.997823 + 0.0659466i \(0.978993\pi\)
\(594\) 2.82881e6 1.35901e6i 0.328956 0.158036i
\(595\) 1.22479e7i 1.41831i
\(596\) 1.36131e6 + 1.51337e7i 0.156979 + 1.74514i
\(597\) −4.08414e6 + 551965.i −0.468991 + 0.0633835i
\(598\) 34574.4 + 770278.i 0.00395368 + 0.0880834i
\(599\) −6.98600e6 1.21001e7i −0.795539 1.37791i −0.922496 0.386006i \(-0.873855\pi\)
0.126958 0.991908i \(1.54052\pi\)
\(600\) −4.51892e6 + 1.73570e7i −0.512456 + 1.96832i
\(601\) −7.90974e6 + 1.37001e7i −0.893256 + 1.54717i −0.0573087 + 0.998357i \(0.518252\pi\)
−0.835948 + 0.548809i \(0.815081\pi\)
\(602\) 2.04007e6 + 1.05882e6i 0.229432 + 0.119078i
\(603\) 4.59279e6 4.65634e6i 0.514380 0.521496i
\(604\) −3.14167e6 + 2.21128e6i −0.350403 + 0.246634i
\(605\) 1.17719e7 + 6.79652e6i 1.30755 + 0.754915i
\(606\) −456954. 2.52275e6i −0.0505465 0.279057i
\(607\) 4.40500e6 2.54323e6i 0.485259 0.280165i −0.237346 0.971425i \(-0.576278\pi\)
0.722606 + 0.691261i \(0.242944\pi\)
\(608\) −4.46854e6 + 1.44804e7i −0.490237 + 1.58862i
\(609\) −2.82512e6 + 2.18325e6i −0.308670 + 0.238540i
\(610\) 8.72805e6 + 1.36634e7i 0.949713 + 1.48674i
\(611\) 5.70288e6 0.618004
\(612\) 9.49841e6 + 1.58375e6i 1.02511 + 0.170926i
\(613\) −2.62634e6 −0.282293 −0.141147 0.989989i \(-0.545079\pi\)
−0.141147 + 0.989989i \(0.545079\pi\)
\(614\) −2.46429e6 3.85775e6i −0.263798 0.412965i
\(615\) −2.79005e6 1.14447e6i −0.297457 0.122016i
\(616\) 1.64717e6 + 2.13041e6i 0.174898 + 0.226210i
\(617\) −8.21879e6 + 4.74512e6i −0.869150 + 0.501804i −0.867066 0.498194i \(-0.833997\pi\)
−0.00208438 + 0.999998i \(0.500663\pi\)
\(618\) −1.26700e7 4.54478e6i −1.33446 0.478676i
\(619\) −2.66128e6 1.53649e6i −0.279167 0.161177i 0.353879 0.935291i \(-0.384862\pi\)
−0.633046 + 0.774114i \(0.718196\pi\)
\(620\) 3.70069e6 + 5.25773e6i 0.386637 + 0.549312i
\(621\) −384872. + 512423.i −0.0400486 + 0.0533212i
\(622\) −356720. 185143.i −0.0369702 0.0191881i
\(623\) −4.90627e6 + 8.49790e6i −0.506443 + 0.877186i
\(624\) 1.25784e7 + 2.67891e6i 1.29319 + 0.275421i
\(625\) −5.38553e6 9.32800e6i −0.551478 0.955188i
\(626\) 453405. + 1.01013e7i 0.0462435 + 1.03025i
\(627\) −2.26670e6 + 5.52592e6i −0.230264 + 0.561352i
\(628\) −7.09346e6 + 638074.i −0.717727 + 0.0645613i
\(629\) 551856.i 0.0556159i
\(630\) 9.10355e6 1.00976e7i 0.913817 1.01360i
\(631\) 2.80779e6i 0.280731i 0.990100 + 0.140366i \(0.0448278\pi\)
−0.990100 + 0.140366i \(0.955172\pi\)
\(632\) 4.32502e6 1.05508e7i 0.430721 1.05073i
\(633\) 9.79218e6 + 1.26711e7i 0.971337 + 1.25691i
\(634\) 1.87379e6 84106.2i 0.185139 0.00831007i
\(635\) 357459. + 619137.i 0.0351796 + 0.0609329i
\(636\) 917798. 2.97169e6i 0.0899714 0.291314i
\(637\) 2.61423e6 4.52798e6i 0.255267 0.442136i
\(638\) −860607. + 1.65816e6i −0.0837053 + 0.161277i
\(639\) 8.50667e6 2.34211e6i 0.824152 0.226911i
\(640\) 3.75561e6 1.76539e7i 0.362436 1.70369i
\(641\) 8.96448e6 + 5.17564e6i 0.861747 + 0.497530i 0.864597 0.502466i \(-0.167574\pi\)
−0.00284982 + 0.999996i \(0.500907\pi\)
\(642\) 9.12121e6 + 1.07680e7i 0.873404 + 1.03109i
\(643\) 4.22376e6 2.43859e6i 0.402876 0.232601i −0.284848 0.958573i \(-0.591943\pi\)
0.687724 + 0.725972i \(0.258610\pi\)
\(644\) −498952. 231182.i −0.0474072 0.0219654i
\(645\) −813190. 6.01701e6i −0.0769649 0.569484i
\(646\) −1.54444e7 + 9.86575e6i −1.45610 + 0.930141i
\(647\) 9.58644e6 0.900319 0.450160 0.892948i \(-0.351367\pi\)
0.450160 + 0.892948i \(0.351367\pi\)
\(648\) 6.65368e6 + 8.36562e6i 0.622478 + 0.782637i
\(649\) −4.89900e6 −0.456557
\(650\) −2.44122e7 + 1.55943e7i −2.26633 + 1.44771i
\(651\) −437592. 3.23786e6i −0.0404685 0.299437i
\(652\) 1.42204e7 + 6.58883e6i 1.31007 + 0.607000i
\(653\) −3.50930e6 + 2.02609e6i −0.322060 + 0.185942i −0.652311 0.757952i \(-0.726200\pi\)
0.330250 + 0.943893i \(0.392867\pi\)
\(654\) −7.79562e6 9.20307e6i −0.712699 0.841373i
\(655\) −1.76854e7 1.02107e7i −1.61069 0.929934i
\(656\) 1.91515e6 + 686474.i 0.173758 + 0.0622823i
\(657\) 8.95030e6 2.46425e6i 0.808955 0.222726i
\(658\) −1.87363e6 + 3.60997e6i −0.168702 + 0.325042i
\(659\) −3.07530e6 + 5.32657e6i −0.275850 + 0.477787i −0.970349 0.241707i \(-0.922293\pi\)
0.694499 + 0.719494i \(0.255626\pi\)
\(660\) 2.09920e6 6.79691e6i 0.187583 0.607367i
\(661\) 1.19391e6 + 2.06791e6i 0.106284 + 0.184089i 0.914262 0.405124i \(-0.132771\pi\)
−0.807978 + 0.589212i \(0.799438\pi\)
\(662\) −1.34317e7 + 602891.i −1.19121 + 0.0534680i
\(663\) 9.51023e6 + 1.23062e7i 0.840248 + 1.08728i
\(664\) 1.33853e7 + 5.48695e6i 1.17817 + 0.482960i
\(665\) 2.58744e7i 2.26890i
\(666\) 410180. 454970.i 0.0358335 0.0397464i
\(667\) 381493.i 0.0332026i
\(668\) −2.74319e6 + 246757.i −0.237857 + 0.0213958i
\(669\) 3.58590e6 8.74194e6i 0.309765 0.755166i
\(670\) −664757. 1.48100e7i −0.0572105 1.27459i
\(671\) −2.15550e6 3.73344e6i −0.184817 0.320113i
\(672\) −5.82829e6 + 7.08210e6i −0.497872 + 0.604977i
\(673\) 5.33582e6 9.24191e6i 0.454113 0.786546i −0.544524 0.838745i \(-0.683290\pi\)
0.998637 + 0.0521992i \(0.0166231\pi\)
\(674\) 632469. + 328261.i 0.0536278 + 0.0278336i
\(675\) −2.39018e7 2.89649e6i −2.01916 0.244688i
\(676\) 5.11670e6 + 7.26951e6i 0.430649 + 0.611841i
\(677\) −1.20806e7 6.97471e6i −1.01301 0.584864i −0.100941 0.994892i \(-0.532185\pi\)
−0.912073 + 0.410029i \(0.865519\pi\)
\(678\) −2.79331e6 1.00197e6i −0.233370 0.0837109i
\(679\) −1.46351e6 + 844957.i −0.121821 + 0.0703332i
\(680\) 1.72680e7 1.33511e7i 1.43209 1.10725i
\(681\) 2.46773e6 + 1.01225e6i 0.203906 + 0.0836412i
\(682\) −920318. 1.44072e6i −0.0757664 0.118609i
\(683\) 1.34097e7 1.09994 0.549968 0.835186i \(-0.314640\pi\)
0.549968 + 0.835186i \(0.314640\pi\)
\(684\) −2.00659e7 3.34576e6i −1.63990 0.273435i
\(685\) −2.49311e7 −2.03009
\(686\) 7.20612e6 + 1.12809e7i 0.584643 + 0.915236i
\(687\) 1.69979e7 1.31360e7i 1.37405 1.06187i
\(688\) 731009. + 4.03043e6i 0.0588778 + 0.324624i
\(689\) 4.35030e6 2.51165e6i 0.349118 0.201563i
\(690\) 258910. + 1.42939e6i 0.0207027 + 0.114295i
\(691\) 1.05848e6 + 611111.i 0.0843307 + 0.0486883i 0.541572 0.840654i \(-0.317829\pi\)
−0.457242 + 0.889342i \(0.651163\pi\)
\(692\) −5.14055e6 + 3.61821e6i −0.408079 + 0.287229i
\(693\) −2.53855e6 + 2.57367e6i −0.200795 + 0.203573i
\(694\) 5.79757e6 + 3.00902e6i 0.456927 + 0.237152i
\(695\) −1.76686e6 + 3.06030e6i −0.138753 + 0.240326i
\(696\) −6.15770e6 1.60317e6i −0.481831 0.125446i
\(697\) 1.23018e6 + 2.13074e6i 0.0959154 + 0.166130i
\(698\) −924701. 2.06013e7i −0.0718394 1.60050i
\(699\) −2.11474e7 + 2.85805e6i −1.63706 + 0.221246i
\(700\) −1.85091e6 2.05765e7i −0.142771 1.58718i
\(701\) 1.38380e7i 1.06360i −0.846870 0.531801i \(-0.821516\pi\)
0.846870 0.531801i \(-0.178484\pi\)
\(702\) −1.30631e6 + 1.72144e7i −0.100047 + 1.31841i
\(703\) 1.16583e6i 0.0889704i
\(704\) −1.20808e6 + 4.64460e6i −0.0918680 + 0.353197i
\(705\) 1.06473e7 1.43897e6i 0.806803 0.109038i
\(706\) −6.46256e6 + 290076.i −0.487970 + 0.0219028i
\(707\) 1.47660e6 + 2.55754e6i 0.111100 + 0.192430i
\(708\) −3.70718e6 1.62688e7i −0.277946 1.21975i
\(709\) 1.12116e7 1.94191e7i 0.837632 1.45082i −0.0542381 0.998528i \(-0.517273\pi\)
0.891870 0.452292i \(-0.149394\pi\)
\(710\) 9.21314e6 1.77512e7i 0.685901 1.32155i
\(711\) 1.48124e7 + 3.86012e6i 1.09889 + 0.286369i
\(712\) −1.73292e7 + 2.34610e6i −1.28108 + 0.173439i
\(713\) 302333. + 174552.i 0.0222722 + 0.0128588i
\(714\) −1.09145e7 + 1.97697e6i −0.801229 + 0.145129i
\(715\) 9.95008e6 5.74468e6i 0.727883 0.420243i
\(716\) 4.69315e6 1.01291e7i 0.342122 0.738391i
\(717\) 3.83490e6 2.96361e6i 0.278584 0.215290i
\(718\) 530222. 338701.i 0.0383837 0.0245191i
\(719\) −1.71887e7 −1.24000 −0.619999 0.784603i \(-0.712867\pi\)
−0.619999 + 0.784603i \(0.712867\pi\)
\(720\) 2.41599e7 + 1.82773e6i 1.73686 + 0.131395i
\(721\) 1.55048e7 1.11078
\(722\) 2.08231e7 1.33016e7i 1.48663 0.949643i
\(723\) 5.65839e6 + 2.32104e6i 0.402575 + 0.165134i
\(724\) −475731. + 1.02675e6i −0.0337299 + 0.0727981i
\(725\) 1.24122e7 7.16620e6i 0.877010 0.506342i
\(726\) 4.15643e6 1.15873e7i 0.292671 0.815909i
\(727\) 1.12449e7 + 6.49227e6i 0.789081 + 0.455576i 0.839639 0.543145i \(-0.182767\pi\)
−0.0505582 + 0.998721i \(0.516100\pi\)
\(728\) −1.46798e7 + 1.98742e6i −1.02658 + 0.138983i
\(729\) −9.93496e6 + 1.03532e7i −0.692384 + 0.721529i
\(730\) 9.69361e6 1.86769e7i 0.673253 1.29718i
\(731\) −2.47685e6 + 4.29002e6i −0.171437 + 0.296938i
\(732\) 1.07670e7 9.98325e6i 0.742708 0.688643i
\(733\) 3.50187e6 + 6.06542e6i 0.240736 + 0.416967i 0.960924 0.276812i \(-0.0892780\pi\)
−0.720188 + 0.693779i \(0.755945\pi\)
\(734\) −2.46259e7 + 1.10535e6i −1.68714 + 0.0757284i
\(735\) 3.73828e6 9.11341e6i 0.255243 0.622247i
\(736\) −217956. 955465.i −0.0148311 0.0650160i
\(737\) 3.94188e6i 0.267322i
\(738\) −569516. + 2.67103e6i −0.0384915 + 0.180525i
\(739\) 2.74291e7i 1.84757i 0.382917 + 0.923783i \(0.374920\pi\)
−0.382917 + 0.923783i \(0.625080\pi\)
\(740\) −124399. 1.38294e6i −0.00835099 0.0928379i
\(741\) −2.00909e7 2.59976e7i −1.34417 1.73935i
\(742\) 160644. + 3.57896e6i 0.0107116 + 0.238642i
\(743\) 3.05209e6 + 5.28638e6i 0.202827 + 0.351306i 0.949438 0.313954i \(-0.101654\pi\)
−0.746611 + 0.665260i \(0.768320\pi\)
\(744\) 4.08797e6 4.14645e6i 0.270754 0.274627i
\(745\) −2.31176e7 + 4.00409e7i −1.52599 + 2.64310i
\(746\) 1.35527e7 + 7.03404e6i 0.891617 + 0.462762i
\(747\) −4.89715e6 + 1.87919e7i −0.321101 + 1.23216i
\(748\) −4.74605e6 + 3.34054e6i −0.310155 + 0.218304i
\(749\) −1.40774e7 8.12760e6i −0.916893 0.529368i
\(750\) −2.11689e7 + 1.79315e7i −1.37418 + 1.16403i
\(751\) −1.95951e7 + 1.13132e7i −1.26779 + 0.731958i −0.974569 0.224088i \(-0.928060\pi\)
−0.293219 + 0.956045i \(0.594726\pi\)
\(752\) −7.13200e6 + 1.29355e6i −0.459904 + 0.0834138i
\(753\) 504366. + 3.73194e6i 0.0324159 + 0.239854i
\(754\) −5.53235e6 8.66067e6i −0.354390 0.554783i
\(755\) −1.16901e7 −0.746366
\(756\) −1.04677e7 6.48254e6i −0.666111 0.412516i
\(757\) 2.79038e7 1.76980 0.884900 0.465781i \(-0.154226\pi\)
0.884900 + 0.465781i \(0.154226\pi\)
\(758\) −6.25266e6 9.78830e6i −0.395268 0.618777i
\(759\) −51731.2 382773.i −0.00325948 0.0241178i
\(760\) −3.64796e7 + 2.82049e7i −2.29095 + 1.77129i
\(761\) 8.70509e6 5.02588e6i 0.544893 0.314594i −0.202166 0.979351i \(-0.564798\pi\)