Properties

Label 27.6.e.a.4.7
Level 27
Weight 6
Character 27.4
Analytic conductor 4.330
Analytic rank 0
Dimension 84
CM No

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(4.33036313495\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{9})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) = 27.4
Dual form 27.6.e.a.7.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.752106 - 0.273744i) q^{2} +(-2.15220 - 15.4392i) q^{3} +(-24.0227 - 20.1574i) q^{4} +(-15.6402 + 88.6998i) q^{5} +(-2.60770 + 12.2010i) q^{6} +(-70.2017 + 58.9062i) q^{7} +(25.3556 + 43.9172i) q^{8} +(-233.736 + 66.4565i) q^{9} +O(q^{10})\) \(q+(-0.752106 - 0.273744i) q^{2} +(-2.15220 - 15.4392i) q^{3} +(-24.0227 - 20.1574i) q^{4} +(-15.6402 + 88.6998i) q^{5} +(-2.60770 + 12.2010i) q^{6} +(-70.2017 + 58.9062i) q^{7} +(25.3556 + 43.9172i) q^{8} +(-233.736 + 66.4565i) q^{9} +(36.0441 - 62.4302i) q^{10} +(-109.881 - 623.164i) q^{11} +(-259.512 + 414.273i) q^{12} +(-498.372 + 181.393i) q^{13} +(68.9243 - 25.0864i) q^{14} +(1403.11 + 50.5712i) q^{15} +(167.208 + 948.284i) q^{16} +(189.216 - 327.732i) q^{17} +(193.986 + 14.0016i) q^{18} +(-991.118 - 1716.67i) q^{19} +(2163.68 - 1815.54i) q^{20} +(1060.55 + 957.078i) q^{21} +(-87.9457 + 498.765i) q^{22} +(919.191 + 771.293i) q^{23} +(623.475 - 485.989i) q^{24} +(-4686.50 - 1705.75i) q^{25} +424.484 q^{26} +(1529.08 + 3465.66i) q^{27} +2873.83 q^{28} +(-1819.58 - 662.273i) q^{29} +(-1041.45 - 422.129i) q^{30} +(310.008 + 260.127i) q^{31} +(415.618 - 2357.09i) q^{32} +(-9384.65 + 3037.64i) q^{33} +(-232.026 + 194.693i) q^{34} +(-4127.00 - 7148.18i) q^{35} +(6954.56 + 3115.06i) q^{36} +(-6718.58 + 11636.9i) q^{37} +(275.498 + 1562.43i) q^{38} +(3873.15 + 7304.06i) q^{39} +(-4292.01 + 1562.17i) q^{40} +(7365.70 - 2680.89i) q^{41} +(-535.652 - 1010.14i) q^{42} +(-3705.26 - 21013.6i) q^{43} +(-9921.76 + 17185.0i) q^{44} +(-2239.01 - 21771.7i) q^{45} +(-480.192 - 831.717i) q^{46} +(3409.85 - 2861.20i) q^{47} +(14280.9 - 4622.45i) q^{48} +(-1460.17 + 8281.04i) q^{49} +(3057.81 + 2565.80i) q^{50} +(-5467.15 - 2216.00i) q^{51} +(15628.6 + 5688.36i) q^{52} +8283.92 q^{53} +(-201.326 - 3025.12i) q^{54} +56993.1 q^{55} +(-4367.00 - 1589.46i) q^{56} +(-24370.8 + 18996.7i) q^{57} +(1187.22 + 996.199i) q^{58} +(-7329.14 + 41565.6i) q^{59} +(-32687.1 - 29498.0i) q^{60} +(2058.11 - 1726.96i) q^{61} +(-161.950 - 280.506i) q^{62} +(12494.0 - 18433.9i) q^{63} +(14448.8 - 25026.0i) q^{64} +(-8294.86 - 47042.5i) q^{65} +(7889.79 + 284.365i) q^{66} +(-18286.5 + 6655.75i) q^{67} +(-11151.7 + 4058.90i) q^{68} +(9929.83 - 15851.5i) q^{69} +(1147.17 + 6505.93i) q^{70} +(-26575.9 + 46030.8i) q^{71} +(-8845.11 - 8579.99i) q^{72} +(-2784.93 - 4823.64i) q^{73} +(8238.62 - 6913.02i) q^{74} +(-16249.0 + 76026.8i) q^{75} +(-10794.3 + 61217.4i) q^{76} +(44422.0 + 37274.5i) q^{77} +(-913.575 - 6553.68i) q^{78} +(-81626.2 - 29709.5i) q^{79} -86727.8 q^{80} +(50216.1 - 31066.6i) q^{81} -6273.66 q^{82} +(23962.1 + 8721.51i) q^{83} +(-6185.07 - 44369.6i) q^{84} +(26110.4 + 21909.2i) q^{85} +(-2965.60 + 16818.7i) q^{86} +(-6308.84 + 29518.2i) q^{87} +(24581.6 - 20626.4i) q^{88} +(-35133.7 - 60853.3i) q^{89} +(-4275.91 + 16987.6i) q^{90} +(24301.4 - 42091.3i) q^{91} +(-6534.16 - 37057.1i) q^{92} +(3348.95 - 5346.11i) q^{93} +(-3347.81 + 1218.50i) q^{94} +(167769. - 61063.0i) q^{95} +(-37286.0 - 1343.87i) q^{96} +(-18895.5 - 107162. i) q^{97} +(3365.09 - 5828.50i) q^{98} +(67096.4 + 138354. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} + O(q^{10}) \) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} - 3q^{10} + 111q^{11} - 2769q^{12} - 6q^{13} - 1641q^{14} + 1989q^{15} + 90q^{16} + 3465q^{17} - 99q^{18} - 3q^{19} + 9987q^{20} + 5424q^{21} - 2850q^{22} - 7716q^{23} - 18486q^{24} + 4953q^{25} - 7806q^{26} - 8109q^{27} - 12q^{28} - 20418q^{29} - 6453q^{30} - 6657q^{31} + 51192q^{32} + 50634q^{33} - 11394q^{34} + 35868q^{35} - 3600q^{36} - 3q^{37} - 44076q^{38} - 13971q^{39} + 12441q^{40} - 79077q^{41} - 64422q^{42} - 9465q^{43} + 110757q^{44} + 92493q^{45} - 3q^{46} + 103557q^{47} + 134049q^{48} + 5484q^{49} - 105513q^{50} - 124866q^{51} + 68625q^{52} - 206406q^{53} - 350946q^{54} - 12q^{55} - 147237q^{56} + 67767q^{57} - 9753q^{58} + 116484q^{59} + 241290q^{60} - 70116q^{61} + 246066q^{62} + 135981q^{63} - 86019q^{64} - 19815q^{65} - 32931q^{66} + 48117q^{67} - 48105q^{68} + 25263q^{69} + 270111q^{70} + 279531q^{71} + 441684q^{72} - 27012q^{73} + 233691q^{74} + 18399q^{75} - 125670q^{76} - 345135q^{77} - 520974q^{78} - 216186q^{79} - 924114q^{80} - 428616q^{81} - 12q^{82} - 370401q^{83} - 522390q^{84} - 43731q^{85} + 116682q^{86} + 304173q^{87} + 371418q^{88} + 154827q^{89} + 327366q^{90} - 91002q^{91} + 1279059q^{92} + 890079q^{93} + 11667q^{94} + 1087671q^{95} + 1165698q^{96} - 420621q^{97} + 463410q^{98} - 28323q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.752106 0.273744i −0.132955 0.0483916i 0.274686 0.961534i \(-0.411426\pi\)
−0.407641 + 0.913142i \(0.633648\pi\)
\(3\) −2.15220 15.4392i −0.138064 0.990423i
\(4\) −24.0227 20.1574i −0.750709 0.629920i
\(5\) −15.6402 + 88.6998i −0.279780 + 1.58671i 0.443577 + 0.896236i \(0.353709\pi\)
−0.723357 + 0.690474i \(0.757402\pi\)
\(6\) −2.60770 + 12.2010i −0.0295719 + 0.138363i
\(7\) −70.2017 + 58.9062i −0.541505 + 0.454377i −0.872052 0.489413i \(-0.837211\pi\)
0.330547 + 0.943789i \(0.392767\pi\)
\(8\) 25.3556 + 43.9172i 0.140071 + 0.242611i
\(9\) −233.736 + 66.4565i −0.961877 + 0.273483i
\(10\) 36.0441 62.4302i 0.113981 0.197422i
\(11\) −109.881 623.164i −0.273804 1.55282i −0.742736 0.669585i \(-0.766472\pi\)
0.468932 0.883234i \(-0.344639\pi\)
\(12\) −259.512 + 414.273i −0.520241 + 0.830489i
\(13\) −498.372 + 181.393i −0.817891 + 0.297688i −0.716879 0.697197i \(-0.754430\pi\)
−0.101011 + 0.994885i \(0.532208\pi\)
\(14\) 68.9243 25.0864i 0.0939837 0.0342073i
\(15\) 1403.11 + 50.5712i 1.61014 + 0.0580330i
\(16\) 167.208 + 948.284i 0.163289 + 0.926059i
\(17\) 189.216 327.732i 0.158795 0.275041i −0.775639 0.631176i \(-0.782572\pi\)
0.934434 + 0.356135i \(0.115906\pi\)
\(18\) 193.986 + 14.0016i 0.141120 + 0.0101858i
\(19\) −991.118 1716.67i −0.629856 1.09094i −0.987580 0.157115i \(-0.949781\pi\)
0.357724 0.933827i \(-0.383553\pi\)
\(20\) 2163.68 1815.54i 1.20953 1.01492i
\(21\) 1060.55 + 957.078i 0.524787 + 0.473586i
\(22\) −87.9457 + 498.765i −0.0387398 + 0.219705i
\(23\) 919.191 + 771.293i 0.362315 + 0.304018i 0.805713 0.592307i \(-0.201783\pi\)
−0.443398 + 0.896325i \(0.646227\pi\)
\(24\) 623.475 485.989i 0.220948 0.172226i
\(25\) −4686.50 1705.75i −1.49968 0.545839i
\(26\) 424.484 0.123148
\(27\) 1529.08 + 3465.66i 0.403665 + 0.914907i
\(28\) 2873.83 0.692733
\(29\) −1819.58 662.273i −0.401769 0.146232i 0.133229 0.991085i \(-0.457465\pi\)
−0.534998 + 0.844853i \(0.679688\pi\)
\(30\) −1041.45 422.129i −0.211268 0.0856331i
\(31\) 310.008 + 260.127i 0.0579387 + 0.0486163i 0.671297 0.741188i \(-0.265737\pi\)
−0.613358 + 0.789805i \(0.710182\pi\)
\(32\) 415.618 2357.09i 0.0717496 0.406912i
\(33\) −9384.65 + 3037.64i −1.50015 + 0.485570i
\(34\) −232.026 + 194.693i −0.0344222 + 0.0288837i
\(35\) −4127.00 7148.18i −0.569462 0.986337i
\(36\) 6954.56 + 3115.06i 0.894362 + 0.400599i
\(37\) −6718.58 + 11636.9i −0.806813 + 1.39744i 0.108247 + 0.994124i \(0.465476\pi\)
−0.915060 + 0.403318i \(0.867857\pi\)
\(38\) 275.498 + 1562.43i 0.0309499 + 0.175526i
\(39\) 3873.15 + 7304.06i 0.407758 + 0.768958i
\(40\) −4292.01 + 1562.17i −0.424142 + 0.154375i
\(41\) 7365.70 2680.89i 0.684312 0.249069i 0.0236142 0.999721i \(-0.492483\pi\)
0.660698 + 0.750652i \(0.270260\pi\)
\(42\) −535.652 1010.14i −0.0468554 0.0883608i
\(43\) −3705.26 21013.6i −0.305596 1.73312i −0.620686 0.784060i \(-0.713146\pi\)
0.315089 0.949062i \(-0.397965\pi\)
\(44\) −9921.76 + 17185.0i −0.772604 + 1.33819i
\(45\) −2239.01 21771.7i −0.164825 1.60273i
\(46\) −480.192 831.717i −0.0334596 0.0579537i
\(47\) 3409.85 2861.20i 0.225160 0.188931i −0.523228 0.852192i \(-0.675273\pi\)
0.748388 + 0.663261i \(0.230828\pi\)
\(48\) 14280.9 4622.45i 0.894646 0.289581i
\(49\) −1460.17 + 8281.04i −0.0868787 + 0.492714i
\(50\) 3057.81 + 2565.80i 0.172976 + 0.145144i
\(51\) −5467.15 2216.00i −0.294331 0.119301i
\(52\) 15628.6 + 5688.36i 0.801517 + 0.291728i
\(53\) 8283.92 0.405085 0.202543 0.979273i \(-0.435080\pi\)
0.202543 + 0.979273i \(0.435080\pi\)
\(54\) −201.326 3025.12i −0.00939538 0.141175i
\(55\) 56993.1 2.54048
\(56\) −4367.00 1589.46i −0.186086 0.0677297i
\(57\) −24370.8 + 18996.7i −0.993535 + 0.774444i
\(58\) 1187.22 + 996.199i 0.0463407 + 0.0388845i
\(59\) −7329.14 + 41565.6i −0.274109 + 1.55455i 0.467670 + 0.883903i \(0.345094\pi\)
−0.741779 + 0.670645i \(0.766018\pi\)
\(60\) −32687.1 29498.0i −1.17219 1.05783i
\(61\) 2058.11 1726.96i 0.0708182 0.0594235i −0.606691 0.794937i \(-0.707504\pi\)
0.677510 + 0.735514i \(0.263059\pi\)
\(62\) −161.950 280.506i −0.00535060 0.00926752i
\(63\) 12494.0 18433.9i 0.396596 0.585147i
\(64\) 14448.8 25026.0i 0.440942 0.763733i
\(65\) −8294.86 47042.5i −0.243515 1.38104i
\(66\) 7889.79 + 284.365i 0.222949 + 0.00803557i
\(67\) −18286.5 + 6655.75i −0.497673 + 0.181138i −0.578647 0.815578i \(-0.696419\pi\)
0.0809740 + 0.996716i \(0.474197\pi\)
\(68\) −11151.7 + 4058.90i −0.292462 + 0.106448i
\(69\) 9929.83 15851.5i 0.251084 0.400819i
\(70\) 1147.17 + 6505.93i 0.0279823 + 0.158695i
\(71\) −26575.9 + 46030.8i −0.625666 + 1.08368i 0.362746 + 0.931888i \(0.381839\pi\)
−0.988412 + 0.151797i \(0.951494\pi\)
\(72\) −8845.11 8579.99i −0.201081 0.195054i
\(73\) −2784.93 4823.64i −0.0611655 0.105942i 0.833821 0.552035i \(-0.186148\pi\)
−0.894987 + 0.446093i \(0.852815\pi\)
\(74\) 8238.62 6913.02i 0.174894 0.146754i
\(75\) −16249.0 + 76026.8i −0.333560 + 1.56068i
\(76\) −10794.3 + 61217.4i −0.214368 + 1.21574i
\(77\) 44422.0 + 37274.5i 0.853831 + 0.716449i
\(78\) −913.575 6553.68i −0.0170023 0.121969i
\(79\) −81626.2 29709.5i −1.47151 0.535584i −0.522997 0.852335i \(-0.675186\pi\)
−0.948509 + 0.316750i \(0.897408\pi\)
\(80\) −86727.8 −1.51507
\(81\) 50216.1 31066.6i 0.850414 0.526115i
\(82\) −6273.66 −0.103035
\(83\) 23962.1 + 8721.51i 0.381795 + 0.138962i 0.525786 0.850617i \(-0.323771\pi\)
−0.143991 + 0.989579i \(0.545994\pi\)
\(84\) −6185.07 44369.6i −0.0956415 0.686099i
\(85\) 26110.4 + 21909.2i 0.391982 + 0.328912i
\(86\) −2965.60 + 16818.7i −0.0432380 + 0.245215i
\(87\) −6308.84 + 29518.2i −0.0893617 + 0.418111i
\(88\) 24581.6 20626.4i 0.338378 0.283933i
\(89\) −35133.7 60853.3i −0.470163 0.814347i 0.529255 0.848463i \(-0.322472\pi\)
−0.999418 + 0.0341165i \(0.989138\pi\)
\(90\) −4275.91 + 16987.6i −0.0556446 + 0.221067i
\(91\) 24301.4 42091.3i 0.307629 0.532830i
\(92\) −6534.16 37057.1i −0.0804859 0.456459i
\(93\) 3348.95 5346.11i 0.0401515 0.0640960i
\(94\) −3347.81 + 1218.50i −0.0390787 + 0.0142235i
\(95\) 167769. 61063.0i 1.90723 0.694175i
\(96\) −37286.0 1343.87i −0.412922 0.0148826i
\(97\) −18895.5 107162.i −0.203906 1.15641i −0.899152 0.437636i \(-0.855816\pi\)
0.695247 0.718771i \(-0.255295\pi\)
\(98\) 3365.09 5828.50i 0.0353941 0.0613044i
\(99\) 67096.4 + 138354.i 0.688036 + 1.41874i
\(100\) 78198.9 + 135444.i 0.781989 + 1.35444i
\(101\) 71696.3 60160.3i 0.699348 0.586822i −0.222240 0.974992i \(-0.571337\pi\)
0.921588 + 0.388170i \(0.126893\pi\)
\(102\) 3505.26 + 3163.27i 0.0333595 + 0.0301048i
\(103\) 1883.35 10681.0i 0.0174920 0.0992020i −0.974812 0.223029i \(-0.928406\pi\)
0.992304 + 0.123827i \(0.0395167\pi\)
\(104\) −20602.8 17287.8i −0.186785 0.156731i
\(105\) −101480. + 79101.8i −0.898269 + 0.700186i
\(106\) −6230.39 2267.68i −0.0538580 0.0196027i
\(107\) 22734.9 0.191970 0.0959852 0.995383i \(-0.469400\pi\)
0.0959852 + 0.995383i \(0.469400\pi\)
\(108\) 33126.2 114077.i 0.273283 0.941106i
\(109\) −139716. −1.12636 −0.563182 0.826333i \(-0.690423\pi\)
−0.563182 + 0.826333i \(0.690423\pi\)
\(110\) −42864.8 15601.5i −0.337769 0.122938i
\(111\) 194124. + 78684.3i 1.49545 + 0.606151i
\(112\) −67598.1 56721.5i −0.509201 0.427270i
\(113\) −558.141 + 3165.38i −0.00411195 + 0.0233200i −0.986795 0.161976i \(-0.948213\pi\)
0.982683 + 0.185296i \(0.0593244\pi\)
\(114\) 23529.7 7616.13i 0.169572 0.0548873i
\(115\) −82789.8 + 69468.9i −0.583757 + 0.489830i
\(116\) 30361.5 + 52587.7i 0.209497 + 0.362860i
\(117\) 104433. 75518.0i 0.705297 0.510019i
\(118\) 16890.6 29255.4i 0.111671 0.193420i
\(119\) 6022.16 + 34153.4i 0.0389839 + 0.221089i
\(120\) 33355.8 + 62903.1i 0.211455 + 0.398766i
\(121\) −224921. + 81864.7i −1.39659 + 0.508316i
\(122\) −2020.67 + 735.462i −0.0122912 + 0.00447364i
\(123\) −57243.3 107950.i −0.341163 0.643371i
\(124\) −2203.72 12497.9i −0.0128707 0.0729934i
\(125\) 83865.5 145259.i 0.480074 0.831513i
\(126\) −14442.9 + 10444.1i −0.0810456 + 0.0586061i
\(127\) −12490.9 21634.9i −0.0687202 0.119027i 0.829618 0.558331i \(-0.188558\pi\)
−0.898338 + 0.439305i \(0.855225\pi\)
\(128\) −76389.4 + 64098.3i −0.412105 + 0.345797i
\(129\) −316458. + 102432.i −1.67433 + 0.541951i
\(130\) −6638.99 + 37651.6i −0.0344543 + 0.195400i
\(131\) −273818. 229761.i −1.39407 1.16976i −0.963662 0.267126i \(-0.913926\pi\)
−0.430405 0.902636i \(-0.641629\pi\)
\(132\) 286676. + 116198.i 1.43204 + 0.580450i
\(133\) 170700. + 62129.9i 0.836769 + 0.304559i
\(134\) 15575.4 0.0749336
\(135\) −331319. + 81425.6i −1.56463 + 0.384527i
\(136\) 19190.8 0.0889704
\(137\) 24991.8 + 9096.27i 0.113762 + 0.0414059i 0.398274 0.917267i \(-0.369609\pi\)
−0.284512 + 0.958672i \(0.591832\pi\)
\(138\) −11807.5 + 9203.79i −0.0527791 + 0.0411404i
\(139\) 40147.2 + 33687.5i 0.176246 + 0.147888i 0.726643 0.687015i \(-0.241079\pi\)
−0.550398 + 0.834903i \(0.685524\pi\)
\(140\) −44947.2 + 254908.i −0.193813 + 1.09917i
\(141\) −51513.3 46487.4i −0.218208 0.196919i
\(142\) 32588.6 27345.1i 0.135626 0.113804i
\(143\) 167799. + 290636.i 0.686197 + 1.18853i
\(144\) −102102. 210536.i −0.410326 0.846097i
\(145\) 87202.1 151038.i 0.344435 0.596578i
\(146\) 774.118 + 4390.24i 0.00300556 + 0.0170454i
\(147\) 130995. + 4721.34i 0.499990 + 0.0180207i
\(148\) 395969. 144121.i 1.48596 0.540845i
\(149\) −73402.1 + 26716.2i −0.270859 + 0.0985846i −0.473879 0.880590i \(-0.657147\pi\)
0.203020 + 0.979175i \(0.434924\pi\)
\(150\) 33032.9 52732.1i 0.119872 0.191358i
\(151\) 39643.1 + 224827.i 0.141490 + 0.802430i 0.970119 + 0.242631i \(0.0780104\pi\)
−0.828629 + 0.559799i \(0.810878\pi\)
\(152\) 50260.8 87054.3i 0.176450 0.305620i
\(153\) −22446.7 + 89177.5i −0.0775220 + 0.307983i
\(154\) −23206.4 40194.7i −0.0788508 0.136574i
\(155\) −27921.8 + 23429.2i −0.0933501 + 0.0783300i
\(156\) 54187.6 253536.i 0.178274 0.834119i
\(157\) 64722.1 367057.i 0.209558 1.18846i −0.680547 0.732704i \(-0.738258\pi\)
0.890105 0.455756i \(-0.150631\pi\)
\(158\) 53258.8 + 44689.4i 0.169726 + 0.142417i
\(159\) −17828.7 127897.i −0.0559276 0.401206i
\(160\) 202573. + 73730.5i 0.625578 + 0.227692i
\(161\) −109963. −0.334334
\(162\) −46272.1 + 9618.98i −0.138526 + 0.0287966i
\(163\) 70696.5 0.208415 0.104207 0.994556i \(-0.466769\pi\)
0.104207 + 0.994556i \(0.466769\pi\)
\(164\) −230984. 84071.2i −0.670613 0.244083i
\(165\) −122661. 879926.i −0.350748 2.51615i
\(166\) −15634.6 13119.0i −0.0440369 0.0369514i
\(167\) −51498.2 + 292061.i −0.142890 + 0.810368i 0.826148 + 0.563454i \(0.190528\pi\)
−0.969037 + 0.246914i \(0.920583\pi\)
\(168\) −15141.3 + 70843.8i −0.0413894 + 0.193655i
\(169\) −68955.6 + 57860.6i −0.185718 + 0.155836i
\(170\) −13640.3 23625.6i −0.0361994 0.0626991i
\(171\) 345744. + 335381.i 0.904199 + 0.877097i
\(172\) −334570. + 579492.i −0.862314 + 1.49357i
\(173\) 118271. + 670751.i 0.300445 + 1.70391i 0.644208 + 0.764851i \(0.277187\pi\)
−0.343763 + 0.939056i \(0.611702\pi\)
\(174\) 12825.3 20473.8i 0.0321141 0.0512655i
\(175\) 429479. 156318.i 1.06010 0.385845i
\(176\) 572564. 208396.i 1.39329 0.507117i
\(177\) 657512. + 23698.2i 1.57750 + 0.0568567i
\(178\) 9766.01 + 55385.8i 0.0231029 + 0.131023i
\(179\) 15520.6 26882.4i 0.0362056 0.0627099i −0.847355 0.531027i \(-0.821806\pi\)
0.883560 + 0.468317i \(0.155140\pi\)
\(180\) −385075. + 568148.i −0.885858 + 1.30701i
\(181\) −266049. 460810.i −0.603621 1.04550i −0.992268 0.124116i \(-0.960391\pi\)
0.388646 0.921387i \(-0.372943\pi\)
\(182\) −29799.5 + 25004.7i −0.0666853 + 0.0559556i
\(183\) −31092.3 28058.8i −0.0686319 0.0619357i
\(184\) −10566.4 + 59924.9i −0.0230081 + 0.130486i
\(185\) −927113. 777940.i −1.99160 1.67115i
\(186\) −3982.23 + 3104.09i −0.00844004 + 0.00657887i
\(187\) −225022. 81901.4i −0.470567 0.171272i
\(188\) −139588. −0.288041
\(189\) −311493. 153223.i −0.634299 0.312011i
\(190\) −142896. −0.287168
\(191\) 574942. + 209262.i 1.14036 + 0.415056i 0.842042 0.539411i \(-0.181353\pi\)
0.298315 + 0.954468i \(0.403575\pi\)
\(192\) −417478. 169216.i −0.817298 0.331275i
\(193\) 465909. + 390944.i 0.900344 + 0.755478i 0.970258 0.242075i \(-0.0778280\pi\)
−0.0699140 + 0.997553i \(0.522272\pi\)
\(194\) −15123.5 + 85769.6i −0.0288501 + 0.163617i
\(195\) −708445. + 229311.i −1.33420 + 0.431855i
\(196\) 202002. 169500.i 0.375591 0.315158i
\(197\) −227997. 394903.i −0.418566 0.724978i 0.577229 0.816582i \(-0.304134\pi\)
−0.995796 + 0.0916041i \(0.970801\pi\)
\(198\) −12590.1 122424.i −0.0228226 0.221923i
\(199\) −215541. + 373329.i −0.385832 + 0.668280i −0.991884 0.127144i \(-0.959419\pi\)
0.606052 + 0.795425i \(0.292752\pi\)
\(200\) −43917.5 249068.i −0.0776358 0.440295i
\(201\) 142116. + 268004.i 0.248114 + 0.467899i
\(202\) −70391.7 + 25620.5i −0.121379 + 0.0441783i
\(203\) 166750. 60691.9i 0.284004 0.103369i
\(204\) 86666.8 + 163438.i 0.145807 + 0.274965i
\(205\) 122594. + 695265.i 0.203744 + 1.15549i
\(206\) −4340.35 + 7517.71i −0.00712618 + 0.0123429i
\(207\) −266105. 119193.i −0.431646 0.193341i
\(208\) −255343. 442268.i −0.409229 0.708805i
\(209\) −960861. + 806258.i −1.52158 + 1.27676i
\(210\) 97977.2 31713.4i 0.153312 0.0496244i
\(211\) 65986.6 374228.i 0.102035 0.578669i −0.890328 0.455319i \(-0.849525\pi\)
0.992363 0.123350i \(-0.0393638\pi\)
\(212\) −199002. 166983.i −0.304101 0.255171i
\(213\) 767875. + 311242.i 1.15969 + 0.470056i
\(214\) −17099.1 6223.56i −0.0255234 0.00928975i
\(215\) 1.92185e6 2.83546
\(216\) −113432. + 155027.i −0.165424 + 0.226086i
\(217\) −37086.2 −0.0534642
\(218\) 105081. + 38246.3i 0.149755 + 0.0545065i
\(219\) −68479.2 + 53378.4i −0.0964825 + 0.0752065i
\(220\) −1.36913e6 1.14883e6i −1.90716 1.60030i
\(221\) −34851.9 + 197655.i −0.0480005 + 0.272225i
\(222\) −124463. 112319.i −0.169495 0.152958i
\(223\) −222189. + 186439.i −0.299199 + 0.251058i −0.780011 0.625766i \(-0.784787\pi\)
0.480812 + 0.876824i \(0.340342\pi\)
\(224\) 109670. + 189954.i 0.146039 + 0.252946i
\(225\) 1.20876e6 + 87246.1i 1.59178 + 0.114892i
\(226\) 1286.28 2227.91i 0.00167520 0.00290153i
\(227\) −89692.4 508671.i −0.115529 0.655198i −0.986487 0.163840i \(-0.947612\pi\)
0.870958 0.491358i \(-0.163499\pi\)
\(228\) 968377. + 34902.4i 1.23369 + 0.0444650i
\(229\) −615684. + 224091.i −0.775835 + 0.282381i −0.699435 0.714696i \(-0.746565\pi\)
−0.0764002 + 0.997077i \(0.524343\pi\)
\(230\) 81283.4 29584.7i 0.101317 0.0368764i
\(231\) 479882. 766062.i 0.591705 0.944569i
\(232\) −17051.4 96703.3i −0.0207989 0.117956i
\(233\) 329166. 570133.i 0.397215 0.687997i −0.596166 0.802861i \(-0.703310\pi\)
0.993381 + 0.114864i \(0.0366433\pi\)
\(234\) −99217.1 + 28209.7i −0.118453 + 0.0336790i
\(235\) 200458. + 347203.i 0.236784 + 0.410122i
\(236\) 1.01392e6 850781.i 1.18502 0.994347i
\(237\) −283014. + 1.32418e6i −0.327293 + 1.53136i
\(238\) 4819.98 27335.5i 0.00551573 0.0312813i
\(239\) −709145. 595044.i −0.803046 0.673836i 0.145891 0.989301i \(-0.453395\pi\)
−0.948937 + 0.315465i \(0.897840\pi\)
\(240\) 186656. + 1.33900e6i 0.209177 + 1.50056i
\(241\) 662014. + 240953.i 0.734217 + 0.267233i 0.681949 0.731400i \(-0.261133\pi\)
0.0522685 + 0.998633i \(0.483355\pi\)
\(242\) 191575. 0.210281
\(243\) −587717. 708433.i −0.638488 0.769632i
\(244\) −84252.6 −0.0905959
\(245\) −711689. 259034.i −0.757487 0.275703i
\(246\) 13502.2 + 96860.2i 0.0142255 + 0.102049i
\(247\) 805336. + 675757.i 0.839914 + 0.704771i
\(248\) −3563.63 + 20210.4i −0.00367929 + 0.0208663i
\(249\) 83081.4 388726.i 0.0849191 0.397324i
\(250\) −102840. + 86292.7i −0.104066 + 0.0873220i
\(251\) −375530. 650438.i −0.376236 0.651661i 0.614275 0.789092i \(-0.289449\pi\)
−0.990511 + 0.137431i \(0.956115\pi\)
\(252\) −671718. + 190985.i −0.666324 + 0.189451i
\(253\) 379641. 657557.i 0.372882 0.645851i
\(254\) 3472.06 + 19691.0i 0.00337678 + 0.0191507i
\(255\) 282066. 450276.i 0.271644 0.433639i
\(256\) −793955. + 288976.i −0.757174 + 0.275589i
\(257\) 1.43976e6 524032.i 1.35975 0.494908i 0.443772 0.896140i \(-0.353640\pi\)
0.915977 + 0.401231i \(0.131418\pi\)
\(258\) 266050. + 9589.02i 0.248836 + 0.00896860i
\(259\) −213831. 1.21270e6i −0.198071 1.12332i
\(260\) −748991. + 1.29729e6i −0.687137 + 1.19016i
\(261\) 469314. + 33874.2i 0.426444 + 0.0307799i
\(262\) 143044. + 247760.i 0.128741 + 0.222986i
\(263\) 208241. 174735.i 0.185643 0.155773i −0.545230 0.838286i \(-0.683558\pi\)
0.730873 + 0.682514i \(0.239113\pi\)
\(264\) −371359. 335127.i −0.327932 0.295937i
\(265\) −129562. + 734782.i −0.113335 + 0.642753i
\(266\) −111377. 93456.5i −0.0965144 0.0809852i
\(267\) −863910. + 673404.i −0.741635 + 0.578093i
\(268\) 573455. + 208720.i 0.487710 + 0.177512i
\(269\) −2.19916e6 −1.85300 −0.926502 0.376289i \(-0.877200\pi\)
−0.926502 + 0.376289i \(0.877200\pi\)
\(270\) 271476. + 29455.9i 0.226633 + 0.0245902i
\(271\) −543556. −0.449595 −0.224797 0.974406i \(-0.572172\pi\)
−0.224797 + 0.974406i \(0.572172\pi\)
\(272\) 342422. + 124631.i 0.280633 + 0.102142i
\(273\) −702156. 284604.i −0.570199 0.231119i
\(274\) −16306.4 13682.7i −0.0131215 0.0110102i
\(275\) −548004. + 3.10789e6i −0.436971 + 2.47818i
\(276\) −558067. + 180636.i −0.440975 + 0.142736i
\(277\) −369921. + 310401.i −0.289674 + 0.243065i −0.776031 0.630695i \(-0.782770\pi\)
0.486357 + 0.873760i \(0.338325\pi\)
\(278\) −20973.2 36326.6i −0.0162762 0.0281912i
\(279\) −89747.2 40199.1i −0.0690256 0.0309176i
\(280\) 209285. 362493.i 0.159531 0.276315i
\(281\) 253316. + 1.43663e6i 0.191380 + 1.08537i 0.917480 + 0.397782i \(0.130220\pi\)
−0.726100 + 0.687590i \(0.758669\pi\)
\(282\) 26017.8 + 49064.9i 0.0194827 + 0.0367408i
\(283\) 1.71564e6 624443.i 1.27339 0.463475i 0.385148 0.922855i \(-0.374151\pi\)
0.888240 + 0.459380i \(0.151928\pi\)
\(284\) 1.56629e6 570082.i 1.15233 0.419413i
\(285\) −1.30384e6 2.45880e6i −0.950847 1.79313i
\(286\) −46642.5 264523.i −0.0337184 0.191227i
\(287\) −359163. + 622088.i −0.257387 + 0.445808i
\(288\) 59498.8 + 578557.i 0.0422695 + 0.411022i
\(289\) 638323. + 1.10561e6i 0.449568 + 0.778675i
\(290\) −106931. + 89725.8i −0.0746636 + 0.0626502i
\(291\) −1.61382e6 + 522365.i −1.11718 + 0.361611i
\(292\) −30330.7 + 172014.i −0.0208173 + 0.118061i
\(293\) 37814.3 + 31729.9i 0.0257328 + 0.0215924i 0.655563 0.755140i \(-0.272431\pi\)
−0.629831 + 0.776733i \(0.716876\pi\)
\(294\) −97229.6 39410.0i −0.0656040 0.0265912i
\(295\) −3.57223e6 1.30019e6i −2.38993 0.869862i
\(296\) −681415. −0.452046
\(297\) 1.99166e6 1.33368e6i 1.31016 0.877324i
\(298\) 62519.6 0.0407826
\(299\) −598006. 217656.i −0.386836 0.140797i
\(300\) 1.92285e6 1.49883e6i 1.23351 0.961500i
\(301\) 1.49795e6 + 1.25693e6i 0.952972 + 0.799638i
\(302\) 31729.4 179946.i 0.0200191 0.113534i
\(303\) −1.08313e6 977454.i −0.677757 0.611631i
\(304\) 1.46216e6 1.22690e6i 0.907428 0.761423i
\(305\) 120992. + 209564.i 0.0744744 + 0.128993i
\(306\) 41294.2 60926.3i 0.0252107 0.0371964i
\(307\) 1.22573e6 2.12303e6i 0.742248 1.28561i −0.209221 0.977868i \(-0.567093\pi\)
0.951469 0.307743i \(-0.0995738\pi\)
\(308\) −315778. 1.79087e6i −0.189673 1.07569i
\(309\) −168960. 6089.67i −0.100667 0.00362825i
\(310\) 27413.8 9977.80i 0.0162019 0.00589699i
\(311\) −734075. + 267182.i −0.430368 + 0.156641i −0.548116 0.836402i \(-0.684655\pi\)
0.117748 + 0.993043i \(0.462432\pi\)
\(312\) −222568. + 355297.i −0.129442 + 0.206635i
\(313\) 239812. + 1.36004e6i 0.138360 + 0.784677i 0.972461 + 0.233066i \(0.0748758\pi\)
−0.834101 + 0.551612i \(0.814013\pi\)
\(314\) −149158. + 258349.i −0.0853732 + 0.147871i
\(315\) 1.43967e6 + 1.39652e6i 0.817499 + 0.792996i
\(316\) 1.36201e6 + 2.35908e6i 0.767298 + 1.32900i
\(317\) 689610. 578651.i 0.385439 0.323422i −0.429394 0.903117i \(-0.641273\pi\)
0.814833 + 0.579696i \(0.196829\pi\)
\(318\) −21602.0 + 101073.i −0.0119791 + 0.0560487i
\(319\) −212768. + 1.20667e6i −0.117066 + 0.663913i
\(320\) 1.99382e6 + 1.67301e6i 1.08846 + 0.913324i
\(321\) −48930.2 351009.i −0.0265042 0.190132i
\(322\) 82703.5 + 30101.6i 0.0444513 + 0.0161789i
\(323\) −750143. −0.400072
\(324\) −1.83255e6 265925.i −0.969823 0.140733i
\(325\) 2.64503e6 1.38906
\(326\) −53171.2 19352.7i −0.0277098 0.0100855i
\(327\) 300696. + 2.15709e6i 0.155510 + 1.11558i
\(328\) 304499. + 255505.i 0.156279 + 0.131134i
\(329\) −70834.5 + 401723.i −0.0360791 + 0.204615i
\(330\) −148621. + 695375.i −0.0751268 + 0.351507i
\(331\) 1.01382e6 850699.i 0.508619 0.426782i −0.352024 0.935991i \(-0.614506\pi\)
0.860643 + 0.509209i \(0.170062\pi\)
\(332\) −399832. 692529.i −0.199082 0.344820i
\(333\) 797025. 3.16646e6i 0.393878 1.56482i
\(334\) 118682. 205563.i 0.0582129 0.100828i
\(335\) −304359. 1.72611e6i −0.148175 0.840342i
\(336\) −730249. + 1.16573e6i −0.352876 + 0.563315i
\(337\) −2.48259e6 + 903588.i −1.19078 + 0.433407i −0.859996 0.510301i \(-0.829534\pi\)
−0.330779 + 0.943708i \(0.607312\pi\)
\(338\) 67700.9 24641.1i 0.0322332 0.0117319i
\(339\) 50072.0 + 1804.70i 0.0236644 + 0.000852917i
\(340\) −185609. 1.05264e6i −0.0870764 0.493835i
\(341\) 128038. 221769.i 0.0596285 0.103280i
\(342\) −168227. 346887.i −0.0777734 0.160370i
\(343\) −1.15541e6 2.00123e6i −0.530274 0.918462i
\(344\) 828909. 695537.i 0.377669 0.316902i
\(345\) 1.25072e6 + 1.12869e6i 0.565735 + 0.510539i
\(346\) 94661.4 536852.i 0.0425092 0.241082i
\(347\) −1.72534e6 1.44773e6i −0.769222 0.645454i 0.171288 0.985221i \(-0.445207\pi\)
−0.940510 + 0.339767i \(0.889652\pi\)
\(348\) 746566. 581936.i 0.330461 0.257589i
\(349\) 1.21927e6 + 443777.i 0.535841 + 0.195030i 0.595744 0.803174i \(-0.296857\pi\)
−0.0599037 + 0.998204i \(0.519079\pi\)
\(350\) −365805. −0.159617
\(351\) −1.39070e6 1.44983e6i −0.602510 0.628128i
\(352\) −1.51452e6 −0.651507
\(353\) 1.54613e6 + 562745.i 0.660402 + 0.240367i 0.650410 0.759583i \(-0.274597\pi\)
0.00999231 + 0.999950i \(0.496819\pi\)
\(354\) −488032. 197814.i −0.206985 0.0838973i
\(355\) −3.66727e6 3.07721e6i −1.54444 1.29594i
\(356\) −382641. + 2.17007e6i −0.160017 + 0.907503i
\(357\) 514339. 166482.i 0.213589 0.0691349i
\(358\) −19032.0 + 15969.8i −0.00784833 + 0.00658553i
\(359\) 2.21884e6 + 3.84314e6i 0.908634 + 1.57380i 0.815963 + 0.578104i \(0.196207\pi\)
0.0926712 + 0.995697i \(0.470459\pi\)
\(360\) 899382. 650367.i 0.365753 0.264486i
\(361\) −726580. + 1.25847e6i −0.293437 + 0.508249i
\(362\) 73952.8 + 419407.i 0.0296608 + 0.168215i
\(363\) 1.74800e6 + 3.29641e6i 0.696266 + 1.31303i
\(364\) −1.43224e6 + 521292.i −0.566580 + 0.206218i
\(365\) 471412. 171580.i 0.185212 0.0674116i
\(366\) 15703.8 + 29614.5i 0.00612777 + 0.0115559i
\(367\) −439510. 2.49258e6i −0.170335 0.966017i −0.943392 0.331680i \(-0.892384\pi\)
0.773057 0.634337i \(-0.218727\pi\)
\(368\) −577708. + 1.00062e6i −0.222377 + 0.385168i
\(369\) −1.54347e6 + 1.11612e6i −0.590107 + 0.426722i
\(370\) 484330. + 838885.i 0.183924 + 0.318565i
\(371\) −581545. + 487974.i −0.219356 + 0.184061i
\(372\) −188215. + 60921.7i −0.0705174 + 0.0228252i
\(373\) −640083. + 3.63009e6i −0.238212 + 1.35097i 0.597529 + 0.801847i \(0.296149\pi\)
−0.835742 + 0.549123i \(0.814962\pi\)
\(374\) 146821. + 123197.i 0.0542760 + 0.0455430i
\(375\) −2.42318e6 982186.i −0.889830 0.360675i
\(376\) 212115. + 77203.5i 0.0773752 + 0.0281623i
\(377\) 1.02696e6 0.372135
\(378\) 192332. + 200509.i 0.0692344 + 0.0721780i
\(379\) 3.38314e6 1.20982 0.604911 0.796293i \(-0.293209\pi\)
0.604911 + 0.796293i \(0.293209\pi\)
\(380\) −5.26114e6 1.91490e6i −1.86905 0.680279i
\(381\) −307141. + 239412.i −0.108399 + 0.0844953i
\(382\) −375133. 314774.i −0.131531 0.110367i
\(383\) 745345. 4.22706e6i 0.259633 1.47245i −0.524260 0.851559i \(-0.675658\pi\)
0.783893 0.620896i \(-0.213231\pi\)
\(384\) 1.15403e6 + 1.04144e6i 0.399383 + 0.360417i
\(385\) −4.00101e6 + 3.35725e6i −1.37568 + 1.15433i
\(386\) −243394. 421572.i −0.0831462 0.144013i
\(387\) 2.26254e6 + 4.66539e6i 0.767926 + 1.58347i
\(388\) −1.70619e6 + 2.95520e6i −0.575370 + 0.996570i
\(389\) −484253. 2.74633e6i −0.162255 0.920194i −0.951850 0.306565i \(-0.900820\pi\)
0.789595 0.613629i \(-0.210291\pi\)
\(390\) 595598. + 21466.6i 0.198286 + 0.00714665i
\(391\) 426704. 155307.i 0.141151 0.0513748i
\(392\) −400704. + 145844.i −0.131707 + 0.0479374i
\(393\) −2.95800e6 + 4.72201e6i −0.966088 + 1.54222i
\(394\) 63375.8 + 359422.i 0.0205676 + 0.116644i
\(395\) 3.91188e6 6.77557e6i 1.26151 2.18501i
\(396\) 1.17702e6 4.67612e6i 0.377177 1.49847i
\(397\) −2.33706e6 4.04790e6i −0.744205 1.28900i −0.950565 0.310525i \(-0.899495\pi\)
0.206360 0.978476i \(-0.433838\pi\)
\(398\) 264307. 221780.i 0.0836374 0.0701801i
\(399\) 591852. 2.76919e6i 0.186115 0.870804i
\(400\) 833911. 4.72935e6i 0.260597 1.47792i
\(401\) 802902. + 673714.i 0.249345 + 0.209226i 0.758890 0.651218i \(-0.225742\pi\)
−0.509545 + 0.860444i \(0.670186\pi\)
\(402\) −33521.4 240471.i −0.0103456 0.0742160i
\(403\) −201684. 73407.1i −0.0618600 0.0225152i
\(404\) −2.93501e6 −0.894658
\(405\) 1.97021e6 + 4.94004e6i 0.596863 + 1.49656i
\(406\) −142027. −0.0427619
\(407\) 7.98995e6 + 2.90811e6i 2.39088 + 0.870210i
\(408\) −41302.5 296290.i −0.0122836 0.0881184i
\(409\) 2.95429e6 + 2.47895e6i 0.873263 + 0.732755i 0.964783 0.263048i \(-0.0847279\pi\)
−0.0915195 + 0.995803i \(0.529172\pi\)
\(410\) 98121.1 556473.i 0.0288272 0.163487i
\(411\) 86651.4 405429.i 0.0253029 0.118389i
\(412\) −260545. + 218624.i −0.0756207 + 0.0634533i
\(413\) −1.93395e6 3.34971e6i −0.557919 0.966344i
\(414\) 167511. + 162490.i 0.0480333 + 0.0465936i
\(415\) −1.14837e6 + 1.98903e6i −0.327311 + 0.566919i
\(416\) 220426. + 1.25010e6i 0.0624495 + 0.354169i
\(417\) 433702. 692342.i 0.122138 0.194976i
\(418\) 943377. 343361.i 0.264086 0.0961193i
\(419\) 959588. 349261.i 0.267024 0.0971886i −0.205039 0.978754i \(-0.565732\pi\)
0.472062 + 0.881565i \(0.343510\pi\)
\(420\) 4.03231e6 + 145333.i 1.11540 + 0.0402014i
\(421\) −199534. 1.13161e6i −0.0548670 0.311166i 0.945007 0.327050i \(-0.106055\pi\)
−0.999874 + 0.0158845i \(0.994944\pi\)
\(422\) −152072. + 263396.i −0.0415688 + 0.0719992i
\(423\) −606859. + 895373.i −0.164906 + 0.243306i
\(424\) 210044. + 363807.i 0.0567408 + 0.0982780i
\(425\) −1.44579e6 + 1.21316e6i −0.388269 + 0.325797i
\(426\) −492322. 444288.i −0.131439 0.118615i
\(427\) −42754.2 + 242471.i −0.0113477 + 0.0643562i
\(428\) −546155. 458278.i −0.144114 0.120926i
\(429\) 4.12604e6 3.21618e6i 1.08241 0.843718i
\(430\) −1.44544e6 526096.i −0.376988 0.137212i
\(431\) 627372. 0.162679 0.0813396 0.996686i \(-0.474080\pi\)
0.0813396 + 0.996686i \(0.474080\pi\)
\(432\) −3.03076e6 + 2.02949e6i −0.781343 + 0.523212i
\(433\) −4.40594e6 −1.12933 −0.564663 0.825322i \(-0.690994\pi\)
−0.564663 + 0.825322i \(0.690994\pi\)
\(434\) 27892.7 + 10152.1i 0.00710832 + 0.00258722i
\(435\) −2.51958e6 1.02126e6i −0.638419 0.258770i
\(436\) 3.35635e6 + 2.81631e6i 0.845572 + 0.709519i
\(437\) 413026. 2.34239e6i 0.103460 0.586752i
\(438\) 66115.7 21400.4i 0.0164672 0.00533013i
\(439\) 2.99269e6 2.51117e6i 0.741141 0.621891i −0.192003 0.981394i \(-0.561498\pi\)
0.933144 + 0.359503i \(0.117054\pi\)
\(440\) 1.44510e6 + 2.50298e6i 0.355848 + 0.616347i
\(441\) −209034. 2.03261e6i −0.0511824 0.497690i
\(442\) 80319.3 139117.i 0.0195553 0.0338707i
\(443\) 1.34151e6 + 7.60807e6i 0.324776 + 1.84190i 0.511246 + 0.859435i \(0.329184\pi\)
−0.186470 + 0.982461i \(0.559705\pi\)
\(444\) −3.07731e6 5.80325e6i −0.740822 1.39706i
\(445\) 5.94717e6 2.16459e6i 1.42367 0.518175i
\(446\) 218146. 79398.8i 0.0519291 0.0189006i
\(447\) 570452. + 1.07577e6i 0.135036 + 0.254654i
\(448\) 459859. + 2.60799e6i 0.108250 + 0.613919i
\(449\) −3.42376e6 + 5.93013e6i −0.801471 + 1.38819i 0.117177 + 0.993111i \(0.462615\pi\)
−0.918648 + 0.395077i \(0.870718\pi\)
\(450\) −885234. 396510.i −0.206076 0.0923044i
\(451\) −2.47999e6 4.29546e6i −0.574127 0.994417i
\(452\) 77213.9 64790.2i 0.0177766 0.0149164i
\(453\) 3.38583e6 1.09593e6i 0.775210 0.250922i
\(454\) −71787.5 + 407127.i −0.0163459 + 0.0927023i
\(455\) 3.35341e6 + 2.81384e6i 0.759378 + 0.637194i
\(456\) −1.45222e6 588627.i −0.327054 0.132565i
\(457\) 1.97827e6 + 720032.i 0.443093 + 0.161273i 0.553925 0.832566i \(-0.313129\pi\)
−0.110832 + 0.993839i \(0.535352\pi\)
\(458\) 524403. 0.116816
\(459\) 1.42514e6 + 154631.i 0.315737 + 0.0342582i
\(460\) 3.38915e6 0.746786
\(461\) −5.51337e6 2.00670e6i −1.20827 0.439775i −0.342168 0.939639i \(-0.611161\pi\)
−0.866104 + 0.499864i \(0.833383\pi\)
\(462\) −570627. + 444795.i −0.124379 + 0.0969515i
\(463\) −4.38382e6 3.67847e6i −0.950387 0.797470i 0.0289753 0.999580i \(-0.490776\pi\)
−0.979363 + 0.202110i \(0.935220\pi\)
\(464\) 323775. 1.83622e6i 0.0698149 0.395940i
\(465\) 421821. + 380665.i 0.0904681 + 0.0816415i
\(466\) −403639. + 338693.i −0.0861049 + 0.0722506i
\(467\) −1.33920e6 2.31957e6i −0.284154 0.492169i 0.688250 0.725474i \(-0.258379\pi\)
−0.972404 + 0.233305i \(0.925046\pi\)
\(468\) −4.03101e6 290950.i −0.850744 0.0614051i
\(469\) 891680. 1.54443e6i 0.187188 0.324218i
\(470\) −55720.6 316007.i −0.0116351 0.0659861i
\(471\) −5.80636e6 209274.i −1.20601 0.0434673i
\(472\) −2.01128e6 + 732046.i −0.415545 + 0.151246i
\(473\) −1.26878e7 + 4.61797e6i −2.60755 + 0.949071i
\(474\) 575344. 918452.i 0.117620 0.187763i
\(475\) 1.71668e6 + 9.73575e6i 0.349104 + 1.97986i
\(476\) 543776. 941848.i 0.110003 0.190530i
\(477\) −1.93625e6 + 550520.i −0.389642 + 0.110784i
\(478\) 370463. + 641660.i 0.0741609 + 0.128450i
\(479\) −3.08078e6 + 2.58508e6i −0.613510 + 0.514796i −0.895756 0.444546i \(-0.853365\pi\)
0.282246 + 0.959342i \(0.408920\pi\)
\(480\) 702360. 3.28624e6i 0.139141 0.651023i
\(481\) 1.23750e6 7.01821e6i 0.243884 1.38313i
\(482\) −431945. 362445.i −0.0846859 0.0710599i
\(483\) 236662. + 1.69773e6i 0.0461595 + 0.331132i
\(484\) 7.05340e6 + 2.56723e6i 1.36863 + 0.498140i
\(485\) 9.80076e6 1.89193
\(486\) 248096. + 693701.i 0.0476463 + 0.133224i
\(487\) −3.68039e6 −0.703189 −0.351594 0.936152i \(-0.614360\pi\)
−0.351594 + 0.936152i \(0.614360\pi\)
\(488\) 128028. + 46598.4i 0.0243364 + 0.00885772i
\(489\) −152153. 1.09150e6i −0.0287746 0.206419i
\(490\) 464357. + 389641.i 0.0873698 + 0.0733120i
\(491\) 439535. 2.49273e6i 0.0822791 0.466628i −0.915632 0.402019i \(-0.868309\pi\)
0.997911 0.0646094i \(-0.0205801\pi\)
\(492\) −800866. + 3.74714e6i −0.149158 + 0.697890i
\(493\) −561343. + 471023.i −0.104019 + 0.0872820i
\(494\) −420713. 728697.i −0.0775656 0.134347i
\(495\) −1.33213e7 + 3.78756e6i −2.44363 + 0.694779i
\(496\) −194839. + 337471.i −0.0355608 + 0.0615931i
\(497\) −845828. 4.79693e6i −0.153600 0.871108i
\(498\) −168898. + 269620.i −0.0305176 + 0.0487168i
\(499\) 289310. 105300.i 0.0520131 0.0189312i −0.315883 0.948798i \(-0.602301\pi\)
0.367896 + 0.929867i \(0.380078\pi\)
\(500\) −4.94273e6 + 1.79901e6i −0.884182 + 0.321816i
\(501\) 4.62001e6 + 166515.i 0.822335 + 0.0296387i
\(502\) 104385. + 591997.i 0.0184875 + 0.104848i
\(503\) −367716. + 636903.i −0.0648027 + 0.112242i −0.896606 0.442828i \(-0.853975\pi\)
0.831804 + 0.555070i \(0.187308\pi\)
\(504\) 1.12636e6 + 81298.2i 0.197515 + 0.0142562i
\(505\) 4.21487e6 + 7.30036e6i 0.735454 + 1.27384i
\(506\) −465532. + 390628.i −0.0808302 + 0.0678246i
\(507\) 1.04173e6 + 940090.i 0.179984 + 0.162424i
\(508\) −136038. + 771512.i −0.0233885 + 0.132643i
\(509\) −1.33818e6 1.12287e6i −0.228939 0.192103i 0.521101 0.853495i \(-0.325521\pi\)
−0.750040 + 0.661392i \(0.769966\pi\)
\(510\) −335404. + 261442.i −0.0571008 + 0.0445092i
\(511\) 479649. + 174578.i 0.0812589 + 0.0295758i
\(512\) 3.86726e6 0.651971
\(513\) 4.43389e6 6.05980e6i 0.743860 1.01664i
\(514\) −1.22631e6 −0.204735
\(515\) 917950. + 334106.i 0.152511 + 0.0555094i
\(516\) 9.66693e6 + 3.91829e6i 1.59832 + 0.647847i
\(517\) −2.15768e6 1.81051e6i −0.355026 0.297902i
\(518\) −171145. + 970612.i −0.0280246 + 0.158936i
\(519\) 1.01013e7 3.26961e6i 1.64611 0.532816i
\(520\) 1.85565e6 1.55708e6i 0.300946 0.252524i
\(521\) 1.41820e6 + 2.45640e6i 0.228899 + 0.396465i 0.957482 0.288492i \(-0.0931540\pi\)
−0.728583 + 0.684958i \(0.759821\pi\)
\(522\) −343701. 153949.i −0.0552083 0.0247287i
\(523\) 3.19488e6 5.53369e6i 0.510740 0.884627i −0.489183 0.872181i \(-0.662705\pi\)
0.999923 0.0124460i \(-0.00396179\pi\)
\(524\) 1.94646e6 + 1.10389e7i 0.309683 + 1.75630i
\(525\) −3.33774e6 6.29437e6i −0.528511 0.996677i
\(526\) −204452. + 74414.5i −0.0322201 + 0.0117272i
\(527\) 143911. 52379.2i 0.0225718 0.00821547i
\(528\) −4.44974e6 8.39140e6i −0.694624 1.30993i
\(529\) −867640. 4.92063e6i −0.134803 0.764507i
\(530\) 298587. 517167.i 0.0461722 0.0799726i
\(531\) −1.04922e6 1.02024e7i −0.161484 1.57025i
\(532\) −2.84831e6 4.93341e6i −0.436322 0.755733i
\(533\) −3.18456e6 + 2.67216e6i −0.485547 + 0.407423i
\(534\) 834092. 269981.i 0.126579 0.0409713i
\(535\) −355578. + 2.01658e6i −0.0537095 + 0.304601i
\(536\) −755968. 634333.i −0.113656 0.0953686i
\(537\) −448446. 181768.i −0.0671080 0.0272009i
\(538\) 1.65400e6 + 602008.i 0.246366 + 0.0896698i
\(539\) 5.32089e6 0.788883
\(540\) 9.60050e6 + 4.72247e6i 1.41680 + 0.696923i
\(541\) −9.29965e6 −1.36607 −0.683036 0.730385i \(-0.739341\pi\)
−0.683036 + 0.730385i \(0.739341\pi\)
\(542\) 408812. + 148795.i 0.0597758 + 0.0217566i
\(543\) −6.54193e6 + 5.09933e6i −0.952152 + 0.742187i
\(544\) −693853. 582211.i −0.100524 0.0843497i
\(545\) 2.18518e6 1.23927e7i 0.315134 1.78721i
\(546\) 450187. + 406264.i 0.0646265 + 0.0583212i
\(547\) −1.62201e6 + 1.36103e6i −0.231785 + 0.194490i −0.751281 0.659982i \(-0.770564\pi\)
0.519497 + 0.854472i \(0.326119\pi\)
\(548\) −417013. 722287.i −0.0593196 0.102744i
\(549\) −366287. + 540428.i −0.0518670 + 0.0765257i
\(550\) 1.26292e6 2.18745e6i 0.178021 0.308341i
\(551\) 666517. + 3.78001e6i 0.0935260 + 0.530412i
\(552\) 947932. + 34165.5i 0.132413 + 0.00477244i
\(553\) 7.48037e6 2.72263e6i 1.04018 0.378596i
\(554\) 363190. 132190.i 0.0502759 0.0182989i
\(555\) −1.00154e7 + 1.59881e7i −1.38018 + 2.20326i
\(556\) −285390. 1.61853e6i −0.0391519 0.222041i
\(557\) 2.32145e6 4.02087e6i 0.317045 0.549139i −0.662825 0.748774i \(-0.730643\pi\)
0.979870 + 0.199636i \(0.0639759\pi\)
\(558\) 56495.1 + 54801.8i 0.00768113 + 0.00745091i
\(559\) 5.65831e6 + 9.80047e6i 0.765873 + 1.32653i
\(560\) 6.08843e6 5.10880e6i 0.820419 0.688413i
\(561\) −780196. + 3.65043e6i −0.104664 + 0.489707i
\(562\) 202748. 1.14984e6i 0.0270779 0.153567i
\(563\) 6.12880e6 + 5.14268e6i 0.814901 + 0.683783i 0.951772 0.306806i \(-0.0992603\pi\)
−0.136871 + 0.990589i \(0.543705\pi\)
\(564\) 300422. + 2.15513e6i 0.0397681 + 0.285283i
\(565\) −272039. 99014.0i −0.0358517 0.0130490i
\(566\) −1.46128e6 −0.191731
\(567\) −1.69524e6 + 5.13896e6i −0.221449 + 0.671302i
\(568\) −2.69540e6 −0.350551
\(569\) −1.50305e6 547066.i −0.194623 0.0708368i 0.242870 0.970059i \(-0.421911\pi\)
−0.437493 + 0.899222i \(0.644133\pi\)
\(570\) 307541. + 2.20619e6i 0.0396475 + 0.284418i
\(571\) 2.45886e6 + 2.06323e6i 0.315605 + 0.264824i 0.786804 0.617203i \(-0.211734\pi\)
−0.471199 + 0.882027i \(0.656179\pi\)
\(572\) 1.82750e6 1.03643e7i 0.233543 1.32449i
\(573\) 1.99344e6 9.32701e6i 0.253639 1.18674i
\(574\) 440422. 369558.i 0.0557942 0.0468169i
\(575\) −2.99216e6 5.18257e6i −0.377411 0.653695i
\(576\) −1.71406e6 + 6.80970e6i −0.215263 + 0.855208i
\(577\) −6.40552e6 + 1.10947e7i −0.800967 + 1.38732i 0.118014 + 0.993012i \(0.462347\pi\)
−0.918980 + 0.394303i \(0.870986\pi\)
\(578\) −177433. 1.00627e6i −0.0220909 0.125284i
\(579\) 5.03313e6 8.03465e6i 0.623938 0.996025i
\(580\) −5.13937e6 + 1.87058e6i −0.634367 + 0.230891i
\(581\) −2.19593e6 + 799254.i −0.269885 + 0.0982301i
\(582\) 1.35676e6 + 48900.6i 0.166033 + 0.00598420i
\(583\) −910243. 5.16224e6i −0.110914 0.629024i
\(584\) 141227. 244613.i 0.0171351 0.0296788i
\(585\) 5.06509e6 + 1.04443e7i 0.611924 + 1.26179i
\(586\) −19754.4 34215.7i −0.00237641 0.00411606i
\(587\) 1.00901e6 846660.i 0.120865 0.101418i −0.580352 0.814366i \(-0.697085\pi\)
0.701217 + 0.712948i \(0.252641\pi\)
\(588\) −3.05168e6 2.75394e6i −0.363995 0.328482i
\(589\) 139298. 789997.i 0.0165446 0.0938290i
\(590\) 2.33078e6 + 1.95576e6i 0.275658 + 0.231305i
\(591\) −5.60628e6 + 4.37000e6i −0.660246 + 0.514651i
\(592\) −1.21585e7 4.42533e6i −1.42586 0.518969i
\(593\) −1.65656e7 −1.93451 −0.967255 0.253808i \(-0.918317\pi\)
−0.967255 + 0.253808i \(0.918317\pi\)
\(594\) −1.86303e6 + 457861.i −0.216647 + 0.0532437i
\(595\) −3.12359e6 −0.361710
\(596\) 2.30185e6 + 837804.i 0.265437 + 0.0966110i
\(597\) 6.22778e6 + 2.52430e6i 0.715150 + 0.289872i
\(598\) 390181. + 327401.i 0.0446184 + 0.0374392i
\(599\) −559256. + 3.17170e6i −0.0636860 + 0.361181i 0.936265 + 0.351294i \(0.114258\pi\)
−0.999951 + 0.00988700i \(0.996853\pi\)
\(600\) −3.75089e6 + 1.21409e6i −0.425359 + 0.137681i
\(601\) −8.41409e6 + 7.06026e6i −0.950213 + 0.797324i −0.979333 0.202252i \(-0.935174\pi\)
0.0291201 + 0.999576i \(0.490729\pi\)
\(602\) −782538. 1.35540e6i −0.0880064 0.152432i
\(603\) 3.83190e6 2.77095e6i 0.429162 0.310338i
\(604\) 3.57961e6 6.20006e6i 0.399248 0.691519i
\(605\) −3.74357e6 2.12309e7i −0.415813 2.35819i
\(606\) 547056. + 1.03165e6i 0.0605133 + 0.114117i
\(607\) −5.68618e6 + 2.06960e6i −0.626396 + 0.227989i −0.635662 0.771968i \(-0.719273\pi\)
0.00926619 + 0.999957i \(0.497050\pi\)
\(608\) −4.45826e6 + 1.62267e6i −0.489110 + 0.178022i
\(609\) −1.29591e6 2.44385e6i −0.141590 0.267013i
\(610\) −33631.8 190735.i −0.00365953 0.0207542i
\(611\) −1.18037e6 + 2.04446e6i −0.127913 + 0.221552i
\(612\) 2.33682e6 1.68982e6i 0.252201 0.182373i
\(613\) −964938. 1.67132e6i −0.103717 0.179642i 0.809497 0.587125i \(-0.199740\pi\)
−0.913213 + 0.407482i \(0.866407\pi\)
\(614\) −1.50305e6 + 1.26121e6i −0.160898 + 0.135010i
\(615\) 1.04705e7 3.38910e6i 1.11629 0.361324i
\(616\) −510645. + 2.89601e6i −0.0542210 + 0.307502i
\(617\) 1.36781e7 + 1.14772e7i 1.44648 + 1.21374i 0.935101 + 0.354380i \(0.115308\pi\)
0.511375 + 0.859358i \(0.329136\pi\)
\(618\) 125409. + 50831.8i 0.0132086 + 0.00535383i
\(619\) −1.80268e6 656121.i −0.189100 0.0688268i 0.245734 0.969337i \(-0.420971\pi\)
−0.434834 + 0.900510i \(0.643193\pi\)
\(620\) 1.14303e6 0.119420
\(621\) −1.26752e6 + 4.36497e6i −0.131895 + 0.454206i
\(622\) 625242. 0.0647996
\(623\) 6.05108e6 + 2.20241e6i 0.624616 + 0.227341i
\(624\) −6.27870e6 + 4.89414e6i −0.645518 + 0.503170i
\(625\) −366168. 307252.i −0.0374956 0.0314626i
\(626\) 191939. 1.08854e6i 0.0195762 0.111022i
\(627\) 1.45159e7 + 1.30997e7i 1.47461 + 1.33073i
\(628\) −8.95373e6 + 7.51308e6i −0.905952 + 0.760184i
\(629\) 2.54253e6 + 4.40379e6i 0.256236 + 0.443813i
\(630\) −700496. 1.44443e6i −0.0703160 0.144993i
\(631\) 2.44010e6 4.22637e6i 0.243969 0.422566i −0.717873 0.696175i \(-0.754884\pi\)
0.961841 + 0.273609i \(0.0882173\pi\)
\(632\) −764924. 4.33810e6i −0.0761773 0.432023i
\(633\) −5.91979e6 213362.i −0.587215 0.0211645i
\(634\) −677062. + 246430.i −0.0668968 + 0.0243484i
\(635\) 2.11437e6 769567.i 0.208088 0.0757377i
\(636\) −2.14978e6 + 3.43181e6i −0.210742 + 0.336419i
\(637\) −774411. 4.39190e6i −0.0756176 0.428849i
\(638\) 490343. 849299.i 0.0476923 0.0826055i
\(639\) 3.15270e6 1.25252e7i 0.305443 1.21348i
\(640\) −4.49076e6 7.77823e6i −0.433381 0.750639i
\(641\) 1.85059e6 1.55283e6i 0.177895 0.149272i −0.549492 0.835499i \(-0.685179\pi\)
0.727388 + 0.686227i \(0.240734\pi\)
\(642\) −59285.9 + 277390.i −0.00567693 + 0.0265615i
\(643\) −1.63102e6 + 9.24997e6i −0.155572 + 0.882293i 0.802689 + 0.596398i \(0.203402\pi\)
−0.958261 + 0.285895i \(0.907709\pi\)
\(644\) 2.64160e6 + 2.21656e6i 0.250988 + 0.210604i
\(645\) −4.13622e6 2.96718e7i −0.391475 2.80831i
\(646\) 564187. + 205347.i 0.0531915 + 0.0193601i
\(647\) −7.80295e6 −0.732822 −0.366411 0.930453i \(-0.619414\pi\)
−0.366411 + 0.930453i \(0.619414\pi\)
\(648\) 2.63762e6 + 1.41764e6i 0.246760 + 0.132626i
\(649\) 2.67075e7 2.48898
\(650\) −1.98934e6 724061.i −0.184683 0.0672190i
\(651\) 79817.0 + 572580.i 0.00738147 + 0.0529522i
\(652\) −1.69832e6 1.42506e6i −0.156459 0.131285i
\(653\) −1.52848e6 + 8.66843e6i −0.140274 + 0.795531i 0.830768 + 0.556619i \(0.187902\pi\)
−0.971041 + 0.238912i \(0.923209\pi\)
\(654\) 364336. 1.70468e6i 0.0333087 0.155847i
\(655\) 2.46623e7 2.06941e7i 2.24610 1.88470i
\(656\) 3.77385e6 + 6.53651e6i 0.342393 + 0.593043i
\(657\) 971500. + 942381.i 0.0878070 + 0.0851752i
\(658\) 163244. 282747.i 0.0146985 0.0254586i
\(659\) −884577. 5.01668e6i −0.0793455 0.449990i −0.998434 0.0559397i \(-0.982185\pi\)
0.919089 0.394051i \(-0.128927\pi\)
\(660\) −1.47904e7 + 2.36107e7i −1.32166 + 2.10984i
\(661\) −1.03748e7 + 3.77613e6i −0.923587 + 0.336158i −0.759665 0.650315i \(-0.774637\pi\)
−0.163922 + 0.986473i \(0.552415\pi\)
\(662\) −995377. + 362287.i −0.0882760 + 0.0321298i
\(663\) 3.12664e6 + 112691.i 0.276245 + 0.00995646i
\(664\) 224551. + 1.27349e6i 0.0197649 + 0.112092i
\(665\) −8.18069e6 + 1.41694e7i −0.717358 + 1.24250i
\(666\) −1.46625e6 + 2.16333e6i −0.128092 + 0.188990i
\(667\) −1.16174e6 2.01218e6i −0.101110 0.175127i
\(668\) 7.12432e6 5.97802e6i 0.617735 0.518341i
\(669\) 3.35666e6 + 3.02916e6i 0.289963 + 0.261672i
\(670\) −243602. + 1.38153e6i −0.0209649 + 0.118898i
\(671\) −1.30233e6 1.09278e6i −0.111664 0.0936974i
\(672\) 2.69670e6 2.10203e6i 0.230361 0.179563i
\(673\) 9.72668e6 + 3.54022e6i 0.827803 + 0.301296i 0.720957 0.692980i \(-0.243703\pi\)
0.106846 + 0.994276i \(0.465925\pi\)
\(674\) 2.11452e6 0.179293
\(675\) −1.25449e6 1.88500e7i −0.105976 1.59240i
\(676\) 2.82282e6 0.237584
\(677\) 4.35485e6 + 1.58504e6i 0.365175 + 0.132913i 0.518089 0.855327i \(-0.326644\pi\)
−0.152914 + 0.988240i \(0.548866\pi\)
\(678\) −37165.4 15064.3i −0.00310503 0.00125856i
\(679\) 7.63899e6 + 6.40987e6i 0.635860 + 0.533550i
\(680\) −300147. + 1.70222e6i −0.0248921 + 0.141170i
\(681\) −7.66042e6 + 2.47954e6i −0.632973 + 0.204882i
\(682\) −157006. + 131744.i −0.0129258 + 0.0108460i
\(683\) −673815. 1.16708e6i −0.0552699 0.0957303i 0.837067 0.547101i \(-0.184269\pi\)
−0.892337 + 0.451371i \(0.850935\pi\)
\(684\) −1.54528e6 1.50261e7i −0.126289 1.22802i
\(685\) −1.19771e6 + 2.07450e6i −0.0975273 + 0.168922i
\(686\) 321166. + 1.82142e6i 0.0260567 + 0.147775i
\(687\) 4.78485e6 + 9.02337e6i 0.386791 + 0.729419i
\(688\) 1.93073e7 7.02728e6i 1.55507 0.566000i
\(689\) −4.12847e6 + 1.50264e6i −0.331315 + 0.120589i
\(690\) −631702. 1.19128e6i −0.0505114 0.0952554i
\(691\) 1.77232e6 + 1.00513e7i 0.141204 + 0.800808i 0.970337 + 0.241756i \(0.0777235\pi\)
−0.829133 + 0.559052i \(0.811165\pi\)
\(692\) 1.06794e7 1.84973e7i 0.847778 1.46839i
\(693\) −1.28602e7 5.76027e6i −1.01722 0.455627i
\(694\) 901331. + 1.56115e6i 0.0710372 + 0.123040i
\(695\) −3.61598e6 + 3.03417e6i −0.283965 + 0.238275i
\(696\) −1.45632e6 + 471385.i −0.113955 + 0.0368852i
\(697\) 515095. 2.92125e6i 0.0401611 0.227765i
\(698\) −795537. 667535.i −0.0618048 0.0518604i
\(699\) −9.51081e6 3.85502e6i −0.736249 0.298424i
\(700\) −1.34682e7 4.90203e6i −1.03888 0.378121i
\(701\) −1.07243e7 −0.824277 −0.412139 0.911121i \(-0.635218\pi\)
−0.412139 + 0.911121i \(0.635218\pi\)
\(702\) 649070. + 1.47112e6i 0.0497105 + 0.112669i
\(703\) 2.66356e7 2.03271
\(704\) −1.71830e7 6.25409e6i −1.30667 0.475589i
\(705\) 4.92910e6 3.84215e6i 0.373503 0.291140i
\(706\) −1.00880e6 846487.i −0.0761719 0.0639158i
\(707\) −1.48938e6 + 8.44671e6i −0.112062 + 0.635534i
\(708\) −1.53175e7 1.38231e7i −1.14843 1.03638i
\(709\) 192621. 161629.i 0.0143909 0.0120754i −0.635564 0.772048i \(-0.719232\pi\)
0.649955 + 0.759973i \(0.274788\pi\)
\(710\) 1.91581e6 + 3.31828e6i 0.142629 + 0.247040i
\(711\) 2.10534e7 + 1.51959e6i 1.56188 + 0.112734i
\(712\) 1.78167e6 3.08595e6i 0.131713 0.228133i
\(713\) 84321.9 + 478213.i 0.00621179 + 0.0352288i
\(714\) −432411. 15585.0i −0.0317432 0.00114409i
\(715\) −2.84038e7 + 1.03381e7i −2.07783 + 0.756269i
\(716\) −914727. + 332933.i −0.0666820 + 0.0242703i
\(717\) −7.66076e6 + 1.22293e7i −0.556511 + 0.888388i
\(718\) −616764. 3.49784e6i −0.0446486 0.253215i
\(719\) −8.02103e6 + 1.38928e7i −0.578639 + 1.00223i 0.416996 + 0.908908i \(0.363083\pi\)
−0.995636 + 0.0933247i \(0.970251\pi\)
\(720\) 2.02714e7 5.76362e6i 1.45731 0.414347i
\(721\) 496964. + 860768.i 0.0356030 + 0.0616663i
\(722\) 890965. 747609.i 0.0636089 0.0533742i
\(723\) 2.29533e6 1.07395e7i 0.163305 0.764081i
\(724\) −2.89754e6 + 1.64328e7i −0.205439 + 1.16510i
\(725\) 7.39779e6 + 6.20749e6i 0.522706 + 0.438602i
\(726\) −412308. 2.95776e6i −0.0290322 0.208267i
\(727\) −1.38957e7 5.05763e6i −0.975092 0.354904i −0.195162 0.980771i \(-0.562523\pi\)
−0.779930 + 0.625867i \(0.784745\pi\)
\(728\) 2.46471e6 0.172360
\(729\) −9.67273e6 + 1.05986e7i −0.674109 + 0.738632i
\(730\) −401521. −0.0278870
\(731\) −7.58793e6 2.76178e6i −0.525206 0.191159i
\(732\) 181329. + 1.30079e6i 0.0125080 + 0.0897283i
\(733\) −7.77434e6 6.52344e6i −0.534446 0.448453i 0.335188 0.942151i \(-0.391200\pi\)
−0.869633 + 0.493698i \(0.835645\pi\)
\(734\) −351772. + 1.99500e6i −0.0241003 + 0.136679i
\(735\) −2.46756e6 + 1.15454e7i −0.168481 + 0.788297i
\(736\) 2.20004e6 1.84605e6i 0.149705 0.125617i
\(737\) 6.15696e6 + 1.06642e7i 0.417540 + 0.723200i
\(738\) 1.46638e6 416926.i 0.0991074 0.0281785i
\(739\) −1.02049e7 + 1.76754e7i −0.687381 + 1.19058i 0.285301 + 0.958438i \(0.407906\pi\)
−0.972682 + 0.232141i \(0.925427\pi\)
\(740\) 6.59047e6 + 3.73764e7i 0.442423 + 2.50910i
\(741\) 8.69988e6 1.38881e7i 0.582060 0.929174i
\(742\) 570964. 207814.i 0.0380714 0.0138569i
\(743\) 3.80457e6 1.38475e6i 0.252833 0.0920236i −0.212495 0.977162i \(-0.568159\pi\)
0.465327 + 0.885139i \(0.345937\pi\)
\(744\) 319701. + 11522.7i 0.0211744 + 0.000763173i
\(745\) −1.22170e6 6.92860e6i −0.0806443 0.457356i
\(746\) 1.47513e6 2.55499e6i 0.0970470 0.168090i
\(747\) −6.18042e6 446091.i −0.405244 0.0292497i
\(748\) 3.75472e6 + 6.50337e6i 0.245371 + 0.424995i
\(749\) −1.59603e6 + 1.33923e6i −0.103953 + 0.0872269i
\(750\) 1.55362e6 + 1.40204e6i 0.100854 + 0.0910137i
\(751\) 2.00327e6 1.13611e7i 0.129610 0.735056i −0.848852 0.528630i \(-0.822706\pi\)
0.978462 0.206425i \(-0.0661831\pi\)
\(752\) 3.28339e6 + 2.75509e6i 0.211728 + 0.177661i
\(753\) −9.23400e6 + 7.19775e6i −0.593475 + 0.462604i
\(754\) −772382. 281124.i −0.0494771 0.0180082i
\(755\) −2.05622e7 −1.31281
\(756\) 4.39432e6 + 9.95973e6i 0.279632 + 0.633787i
\(757\) −1.15617e7 −0.733298 −0.366649 0.930359i \(-0.619495\pi\)
−0.366649 + 0.930359i \(0.619495\pi\)
\(758\) −2.54448e6