Properties

Label 27.6.e.a.7.7
Level 27
Weight 6
Character 27.7
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 7.7
Character \(\chi\) = 27.7
Dual form 27.6.e.a.4.7

$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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 −0.407641 0.913142i \(-0.633648\pi\)
0.274686 + 0.961534i \(0.411426\pi\)
\(3\) −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 −0.723357 0.690474i \(-0.757402\pi\)
0.443577 0.896236i \(-0.353709\pi\)
\(6\) −2.60770 12.2010i −0.0295719 0.138363i
\(7\) −70.2017 58.9062i −0.541505 0.454377i 0.330547 0.943789i \(-0.392767\pi\)
−0.872052 + 0.489413i \(0.837211\pi\)
\(8\) 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 0.468932 + 0.883234i \(0.344639\pi\)
−0.742736 + 0.669585i \(0.766472\pi\)
\(12\) −259.512 414.273i −0.520241 0.830489i
\(13\) −498.372 181.393i −0.817891 0.297688i −0.101011 0.994885i \(-0.532208\pi\)
−0.716879 + 0.697197i \(0.754430\pi\)
\(14\) 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 0.934434 0.356135i \(-0.115906\pi\)
−0.775639 + 0.631176i \(0.782572\pi\)
\(18\) 193.986 14.0016i 0.141120 0.0101858i
\(19\) −991.118 + 1716.67i −0.629856 + 1.09094i 0.357724 + 0.933827i \(0.383553\pi\)
−0.987580 + 0.157115i \(0.949781\pi\)
\(20\) 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 −0.443398 0.896325i \(-0.646227\pi\)
0.805713 + 0.592307i \(0.201783\pi\)
\(24\) 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 −0.534998 0.844853i \(-0.679688\pi\)
0.133229 + 0.991085i \(0.457465\pi\)
\(30\) −1041.45 + 422.129i −0.211268 + 0.0856331i
\(31\) 310.008 260.127i 0.0579387 0.0486163i −0.613358 0.789805i \(-0.710182\pi\)
0.671297 + 0.741188i \(0.265737\pi\)
\(32\) 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 −0.915060 0.403318i \(-0.867857\pi\)
0.108247 0.994124i \(-0.465476\pi\)
\(38\) 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 0.660698 0.750652i \(-0.270260\pi\)
0.0236142 + 0.999721i \(0.492483\pi\)
\(42\) −535.652 + 1010.14i −0.0468554 + 0.0883608i
\(43\) −3705.26 + 21013.6i −0.305596 + 1.73312i 0.315089 + 0.949062i \(0.397965\pi\)
−0.620686 + 0.784060i \(0.713146\pi\)
\(44\) −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 0.748388 0.663261i \(-0.230828\pi\)
−0.523228 + 0.852192i \(0.675273\pi\)
\(48\) 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 −0.741779 0.670645i \(-0.766018\pi\)
0.467670 0.883903i \(-0.345094\pi\)
\(60\) −32687.1 + 29498.0i −1.17219 + 1.05783i
\(61\) 2058.11 + 1726.96i 0.0708182 + 0.0594235i 0.677510 0.735514i \(-0.263059\pi\)
−0.606691 + 0.794937i \(0.707504\pi\)
\(62\) −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 0.0809740 0.996716i \(-0.474197\pi\)
−0.578647 + 0.815578i \(0.696419\pi\)
\(68\) −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 −0.988412 0.151797i \(-0.951494\pi\)
0.362746 0.931888i \(-0.381839\pi\)
\(72\) −8845.11 + 8579.99i −0.201081 + 0.195054i
\(73\) −2784.93 + 4823.64i −0.0611655 + 0.105942i −0.894987 0.446093i \(-0.852815\pi\)
0.833821 + 0.552035i \(0.186148\pi\)
\(74\) 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 −0.948509 0.316750i \(-0.897408\pi\)
−0.522997 + 0.852335i \(0.675186\pi\)
\(80\) −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 −0.143991 0.989579i \(-0.545994\pi\)
0.525786 + 0.850617i \(0.323771\pi\)
\(84\) −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 −0.999418 0.0341165i \(-0.989138\pi\)
0.529255 + 0.848463i \(0.322472\pi\)
\(90\) −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 0.695247 + 0.718771i \(0.255295\pi\)
−0.899152 + 0.437636i \(0.855816\pi\)
\(98\) 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 0.921588 0.388170i \(-0.126893\pi\)
−0.222240 + 0.974992i \(0.571337\pi\)
\(102\) 3505.26 3163.27i 0.0333595 0.0301048i
\(103\) 1883.35 + 10681.0i 0.0174920 + 0.0992020i 0.992304 0.123827i \(-0.0395167\pi\)
−0.974812 + 0.223029i \(0.928406\pi\)
\(104\) −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 0.982683 0.185296i \(-0.0593244\pi\)
−0.986795 + 0.161976i \(0.948213\pi\)
\(114\) 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 −0.898338 0.439305i \(-0.855225\pi\)
0.829618 + 0.558331i \(0.188558\pi\)
\(128\) −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 −0.430405 + 0.902636i \(0.641629\pi\)
−0.963662 + 0.267126i \(0.913926\pi\)
\(132\) 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 −0.284512 0.958672i \(-0.591832\pi\)
0.398274 + 0.917267i \(0.369609\pi\)
\(138\) −11807.5 9203.79i −0.0527791 0.0411404i
\(139\) 40147.2 33687.5i 0.176246 0.147888i −0.550398 0.834903i \(-0.685524\pi\)
0.726643 + 0.687015i \(0.241079\pi\)
\(140\) −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 0.203020 0.979175i \(-0.434924\pi\)
−0.473879 + 0.880590i \(0.657147\pi\)
\(150\) 33032.9 + 52732.1i 0.119872 + 0.191358i
\(151\) 39643.1 224827.i 0.141490 0.802430i −0.828629 0.559799i \(-0.810878\pi\)
0.970119 0.242631i \(-0.0780104\pi\)
\(152\) 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 0.890105 + 0.455756i \(0.150631\pi\)
−0.680547 + 0.732704i \(0.738258\pi\)
\(158\) 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 −0.969037 0.246914i \(-0.920583\pi\)
0.826148 0.563454i \(-0.190528\pi\)
\(168\) −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 −0.343763 0.939056i \(-0.611702\pi\)
0.644208 0.764851i \(-0.277187\pi\)
\(174\) 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 0.883560 0.468317i \(-0.155140\pi\)
−0.847355 + 0.531027i \(0.821806\pi\)
\(180\) −385075. 568148.i −0.885858 1.30701i
\(181\) −266049. + 460810.i −0.603621 + 1.04550i 0.388646 + 0.921387i \(0.372943\pi\)
−0.992268 + 0.124116i \(0.960391\pi\)
\(182\) −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 0.298315 0.954468i \(-0.403575\pi\)
0.842042 + 0.539411i \(0.181353\pi\)
\(192\) −417478. + 169216.i −0.817298 + 0.331275i
\(193\) 465909. 390944.i 0.900344 0.755478i −0.0699140 0.997553i \(-0.522272\pi\)
0.970258 + 0.242075i \(0.0778280\pi\)
\(194\) −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 −0.995796 0.0916041i \(-0.970801\pi\)
0.577229 + 0.816582i \(0.304134\pi\)
\(198\) −12590.1 + 122424.i −0.0228226 + 0.221923i
\(199\) −215541. 373329.i −0.385832 0.668280i 0.606052 0.795425i \(-0.292752\pi\)
−0.991884 + 0.127144i \(0.959419\pi\)
\(200\) −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 0.992363 + 0.123350i \(0.0393638\pi\)
−0.890328 + 0.455319i \(0.849525\pi\)
\(212\) −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 0.480812 0.876824i \(-0.340342\pi\)
−0.780011 + 0.625766i \(0.784787\pi\)
\(224\) 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 0.870958 + 0.491358i \(0.163499\pi\)
−0.986487 + 0.163840i \(0.947612\pi\)
\(228\) 968377. 34902.4i 1.23369 0.0444650i
\(229\) −615684. 224091.i −0.775835 0.282381i −0.0764002 0.997077i \(-0.524343\pi\)
−0.699435 + 0.714696i \(0.746565\pi\)
\(230\) 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 0.993381 0.114864i \(-0.0366433\pi\)
−0.596166 + 0.802861i \(0.703310\pi\)
\(234\) −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 −0.948937 0.315465i \(-0.897840\pi\)
0.145891 + 0.989301i \(0.453395\pi\)
\(240\) 186656. 1.33900e6i 0.209177 1.50056i
\(241\) 662014. 240953.i 0.734217 0.267233i 0.0522685 0.998633i \(-0.483355\pi\)
0.681949 + 0.731400i \(0.261133\pi\)
\(242\) 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 −0.990511 0.137431i \(-0.956115\pi\)
0.614275 + 0.789092i \(0.289449\pi\)
\(252\) −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 0.915977 0.401231i \(-0.131418\pi\)
0.443772 + 0.896140i \(0.353640\pi\)
\(258\) 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 0.730873 0.682514i \(-0.239113\pi\)
−0.545230 + 0.838286i \(0.683558\pi\)
\(264\) −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 0.486357 0.873760i \(-0.338325\pi\)
−0.776031 + 0.630695i \(0.782770\pi\)
\(278\) −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 −0.726100 0.687590i \(-0.758669\pi\)
0.917480 0.397782i \(-0.130220\pi\)
\(282\) 26017.8 49064.9i 0.0194827 0.0367408i
\(283\) 1.71564e6 + 624443.i 1.27339 + 0.463475i 0.888240 0.459380i \(-0.151928\pi\)
0.385148 + 0.922855i \(0.374151\pi\)
\(284\) 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 −0.629831 0.776733i \(-0.716876\pi\)
0.655563 + 0.755140i \(0.272431\pi\)
\(294\) −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 0.951469 + 0.307743i \(0.0995738\pi\)
−0.209221 + 0.977868i \(0.567093\pi\)
\(308\) −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 0.117748 0.993043i \(-0.462432\pi\)
−0.548116 + 0.836402i \(0.684655\pi\)
\(312\) −222568. 355297.i −0.129442 0.206635i
\(313\) 239812. 1.36004e6i 0.138360 0.784677i −0.834101 0.551612i \(-0.814013\pi\)
0.972461 0.233066i \(-0.0748758\pi\)
\(314\) −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 0.814833 0.579696i \(-0.196829\pi\)
−0.429394 + 0.903117i \(0.641273\pi\)
\(318\) −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 0.860643 0.509209i \(-0.170062\pi\)
−0.352024 + 0.935991i \(0.614506\pi\)
\(332\) −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 −0.330779 0.943708i \(-0.607312\pi\)
−0.859996 + 0.510301i \(0.829534\pi\)
\(338\) 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 −0.940510 0.339767i \(-0.889652\pi\)
0.171288 + 0.985221i \(0.445207\pi\)
\(348\) 746566. + 581936.i 0.330461 + 0.257589i
\(349\) 1.21927e6 443777.i 0.535841 0.195030i −0.0599037 0.998204i \(-0.519079\pi\)
0.595744 + 0.803174i \(0.296857\pi\)
\(350\) −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 0.00999231 0.999950i \(-0.496819\pi\)
0.650410 + 0.759583i \(0.274597\pi\)
\(354\) −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 0.0926712 0.995697i \(-0.470459\pi\)
0.815963 0.578104i \(-0.196207\pi\)
\(360\) 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 0.773057 + 0.634337i \(0.218727\pi\)
−0.943392 + 0.331680i \(0.892384\pi\)
\(368\) −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 −0.835742 0.549123i \(-0.814962\pi\)
0.597529 0.801847i \(-0.296149\pi\)
\(374\) 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 0.783893 + 0.620896i \(0.213231\pi\)
−0.524260 + 0.851559i \(0.675658\pi\)
\(384\) 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 0.789595 + 0.613629i \(0.210291\pi\)
−0.951850 + 0.306565i \(0.900820\pi\)
\(390\) 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 0.206360 + 0.978476i \(0.433838\pi\)
−0.950565 + 0.310525i \(0.899495\pi\)
\(398\) 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 −0.509545 0.860444i \(-0.670186\pi\)
0.758890 + 0.651218i \(0.225742\pi\)
\(402\) −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 −0.0915195 0.995803i \(-0.529172\pi\)
0.964783 + 0.263048i \(0.0847279\pi\)
\(410\) 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 0.472062 0.881565i \(-0.343510\pi\)
−0.205039 + 0.978754i \(0.565732\pi\)
\(420\) 4.03231e6 145333.i 1.11540 0.0402014i
\(421\) −199534. + 1.13161e6i −0.0548670 + 0.311166i −0.999874 0.0158845i \(-0.994944\pi\)
0.945007 + 0.327050i \(0.106055\pi\)
\(422\) −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 0.933144 0.359503i \(-0.117054\pi\)
−0.192003 + 0.981394i \(0.561498\pi\)
\(440\) 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 −0.186470 0.982461i \(-0.559705\pi\)
0.511246 0.859435i \(-0.329184\pi\)
\(444\) −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 −0.918648 0.395077i \(-0.870718\pi\)
0.117177 0.993111i \(-0.462615\pi\)
\(450\) −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 −0.110832 0.993839i \(-0.535352\pi\)
0.553925 + 0.832566i \(0.313129\pi\)
\(458\) 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 −0.866104 0.499864i \(-0.833383\pi\)
−0.342168 + 0.939639i \(0.611161\pi\)
\(462\) −570627. 444795.i −0.124379 0.0969515i
\(463\) −4.38382e6 + 3.67847e6i −0.950387 + 0.797470i −0.979363 0.202110i \(-0.935220\pi\)
0.0289753 + 0.999580i \(0.490776\pi\)
\(464\) 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 −0.972404 0.233305i \(-0.925046\pi\)
0.688250 + 0.725474i \(0.258379\pi\)
\(468\) −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 0.282246 0.959342i \(-0.408920\pi\)
−0.895756 + 0.444546i \(0.853365\pi\)
\(480\) 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 0.997911 + 0.0646094i \(0.0205801\pi\)
−0.915632 + 0.402019i \(0.868309\pi\)
\(492\) −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 0.367896 0.929867i \(-0.380078\pi\)
−0.315883 + 0.948798i \(0.602301\pi\)
\(500\) −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 0.831804 0.555070i \(-0.187308\pi\)
−0.896606 + 0.442828i \(0.853975\pi\)
\(504\) 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 −0.750040 0.661392i \(-0.769966\pi\)
0.521101 + 0.853495i \(0.325521\pi\)
\(510\) −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 −0.728583 0.684958i \(-0.759821\pi\)
0.957482 + 0.288492i \(0.0931540\pi\)
\(522\) −343701. + 153949.i −0.0552083 + 0.0247287i
\(523\) 3.19488e6 + 5.53369e6i 0.510740 + 0.884627i 0.999923 + 0.0124460i \(0.00396179\pi\)
−0.489183 + 0.872181i \(0.662705\pi\)
\(524\) 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 0.519497 0.854472i \(-0.326119\pi\)
−0.751281 + 0.659982i \(0.770564\pi\)
\(548\) −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 0.979870 0.199636i \(-0.0639759\pi\)
−0.662825 + 0.748774i \(0.730643\pi\)
\(558\) 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 −0.136871 0.990589i \(-0.543705\pi\)
0.951772 + 0.306806i \(0.0992603\pi\)
\(564\) 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 −0.437493 0.899222i \(-0.644133\pi\)
0.242870 + 0.970059i \(0.421911\pi\)
\(570\) 307541. 2.20619e6i 0.0396475 0.284418i
\(571\) 2.45886e6 2.06323e6i 0.315605 0.264824i −0.471199 0.882027i \(-0.656179\pi\)
0.786804 + 0.617203i \(0.211734\pi\)
\(572\) 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 −0.918980 0.394303i \(-0.870986\pi\)
0.118014 0.993012i \(-0.462347\pi\)
\(578\) −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 0.701217 0.712948i \(-0.252641\pi\)
−0.580352 + 0.814366i \(0.697085\pi\)
\(588\) −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 −0.999951 0.00988700i \(-0.996853\pi\)
0.936265 0.351294i \(-0.114258\pi\)
\(600\) −3.75089e6 1.21409e6i −0.425359 0.137681i
\(601\) −8.41409e6 7.06026e6i −0.950213 0.797324i 0.0291201 0.999576i \(-0.490729\pi\)
−0.979333 + 0.202252i \(0.935174\pi\)
\(602\) −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 0.00926619 0.999957i \(-0.497050\pi\)
−0.635662 + 0.771968i \(0.719273\pi\)
\(608\) −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 −0.913213 0.407482i \(-0.866407\pi\)
0.809497 + 0.587125i \(0.199740\pi\)
\(614\) −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 0.511375 0.859358i \(-0.329136\pi\)
0.935101 0.354380i \(-0.115308\pi\)
\(618\) 125409. 50831.8i 0.0132086 0.00535383i
\(619\) −1.80268e6 + 656121.i −0.189100 + 0.0688268i −0.434834 0.900510i \(-0.643193\pi\)
0.245734 + 0.969337i \(0.420971\pi\)
\(620\) 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 0.961841 0.273609i \(-0.0882173\pi\)
−0.717873 + 0.696175i \(0.754884\pi\)
\(632\) −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 0.727388 0.686227i \(-0.240734\pi\)
−0.549492 + 0.835499i \(0.685179\pi\)
\(642\) −59285.9 277390.i −0.00567693 0.0265615i
\(643\) −1.63102e6 9.24997e6i −0.155572 0.882293i −0.958261 0.285895i \(-0.907709\pi\)
0.802689 0.596398i \(-0.203402\pi\)
\(644\) 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 −0.971041 0.238912i \(-0.923209\pi\)
0.830768 0.556619i \(-0.187902\pi\)
\(654\) 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 0.919089 + 0.394051i \(0.128927\pi\)
−0.998434 + 0.0559397i \(0.982185\pi\)
\(660\) −1.47904e7 2.36107e7i −1.32166 2.10984i
\(661\) −1.03748e7 3.77613e6i −0.923587 0.336158i −0.163922 0.986473i \(-0.552415\pi\)
−0.759665 + 0.650315i \(0.774637\pi\)
\(662\) −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 0.106846 0.994276i \(-0.465925\pi\)
0.720957 + 0.692980i \(0.243703\pi\)
\(674\) 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 −0.152914 0.988240i \(-0.548866\pi\)
0.518089 + 0.855327i \(0.326644\pi\)
\(678\) −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 −0.892337 0.451371i \(-0.850935\pi\)
0.837067 + 0.547101i \(0.184269\pi\)
\(684\) −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 −0.829133 0.559052i \(-0.811165\pi\)
0.970337 0.241756i \(-0.0777235\pi\)
\(692\) 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 0.649955 0.759973i \(-0.274788\pi\)
−0.635564 + 0.772048i \(0.719232\pi\)
\(710\) 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 −0.995636 0.0933247i \(-0.970251\pi\)
0.416996 0.908908i \(-0.363083\pi\)
\(720\) 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 −0.779930 0.625867i \(-0.784745\pi\)
−0.195162 + 0.980771i \(0.562523\pi\)
\(728\) 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 −0.869633 0.493698i \(-0.835645\pi\)
0.335188 + 0.942151i \(0.391200\pi\)
\(734\) −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 −0.972682 0.232141i \(-0.925427\pi\)
0.285301 0.958438i \(-0.407906\pi\)
\(740\) 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 0.465327 0.885139i \(-0.345937\pi\)
−0.212495 + 0.977162i \(0.568159\pi\)
\(744\) 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 0.978462 + 0.206425i \(0.0661831\pi\)
−0.848852 + 0.528630i \(0.822706\pi\)
\(752\) 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 \(0.619495\pi\)