Properties

Label 43.7.f.a.2.10
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.10
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.716329 - 1.48747i) q^{2} +(3.40007 - 7.06031i) q^{3} +(38.2039 - 47.9062i) q^{4} +(69.5466 + 15.8736i) q^{5} -12.9376 q^{6} -168.130i q^{7} +(-201.638 - 46.0227i) q^{8} +(416.237 + 521.944i) q^{9} +O(q^{10})\) \(q+(-0.716329 - 1.48747i) q^{2} +(3.40007 - 7.06031i) q^{3} +(38.2039 - 47.9062i) q^{4} +(69.5466 + 15.8736i) q^{5} -12.9376 q^{6} -168.130i q^{7} +(-201.638 - 46.0227i) q^{8} +(416.237 + 521.944i) q^{9} +(-26.2068 - 114.819i) q^{10} +(-494.032 - 619.497i) q^{11} +(-208.337 - 432.616i) q^{12} +(419.543 - 1838.14i) q^{13} +(-250.089 + 120.436i) q^{14} +(348.535 - 437.049i) q^{15} +(-796.646 - 3490.33i) q^{16} +(-1487.47 - 6517.04i) q^{17} +(478.215 - 993.023i) q^{18} +(7489.56 + 5972.73i) q^{19} +(3417.39 - 2725.28i) q^{20} +(-1187.05 - 571.653i) q^{21} +(-567.595 + 1178.62i) q^{22} +(-10784.3 - 13523.1i) q^{23} +(-1010.52 + 1267.15i) q^{24} +(-9492.88 - 4571.53i) q^{25} +(-3034.71 + 692.652i) q^{26} +(10669.8 - 2435.31i) q^{27} +(-8054.46 - 6423.22i) q^{28} +(16175.3 + 33588.4i) q^{29} +(-899.764 - 205.365i) q^{30} +(22421.8 - 10797.8i) q^{31} +(-14970.0 + 11938.2i) q^{32} +(-6053.58 + 1381.69i) q^{33} +(-8628.40 + 6880.92i) q^{34} +(2668.82 - 11692.9i) q^{35} +40906.2 q^{36} +93504.2i q^{37} +(3519.27 - 15418.9i) q^{38} +(-11551.3 - 9211.89i) q^{39} +(-13292.7 - 6401.44i) q^{40} +(-68207.6 + 32847.0i) q^{41} +2175.19i q^{42} +(44101.9 + 66154.2i) q^{43} -48551.7 q^{44} +(20662.7 + 42906.6i) q^{45} +(-12390.1 + 25728.4i) q^{46} +(41930.8 - 52579.6i) q^{47} +(-27351.5 - 6242.80i) q^{48} +89381.3 q^{49} +17395.1i q^{50} +(-51069.8 - 11656.4i) q^{51} +(-72030.0 - 90322.7i) q^{52} +(-295.187 - 1293.30i) q^{53} +(-11265.5 - 14126.5i) q^{54} +(-24524.7 - 50926.0i) q^{55} +(-7737.79 + 33901.5i) q^{56} +(67634.3 - 32571.0i) q^{57} +(38375.0 - 48120.7i) q^{58} +(60509.5 + 265109. i) q^{59} +(-7621.96 - 33394.0i) q^{60} +(115247. - 239313. i) q^{61} +(-32122.7 - 25617.0i) q^{62} +(87754.5 - 69981.8i) q^{63} +(-177954. - 85698.3i) q^{64} +(58355.6 - 121177. i) q^{65} +(6391.58 + 8014.79i) q^{66} +(113411. - 142213. i) q^{67} +(-369034. - 177717. i) q^{68} +(-132145. + 30161.2i) q^{69} +(-19304.6 + 4406.14i) q^{70} +(120336. + 95964.5i) q^{71} +(-59908.0 - 124400. i) q^{72} +(127177. + 29027.2i) q^{73} +(139085. - 66979.7i) q^{74} +(-64552.8 + 51479.2i) q^{75} +(572261. - 130615. i) q^{76} +(-104156. + 83061.7i) q^{77} +(-5427.87 + 23781.0i) q^{78} -574914. q^{79} -255387. i q^{80} +(-89211.3 + 390860. i) q^{81} +(97718.0 + 77927.5i) q^{82} +(536050. + 258148. i) q^{83} +(-72735.6 + 35027.6i) q^{84} -476850. i q^{85} +(66811.1 - 112989. i) q^{86} +292142. q^{87} +(71105.0 + 147651. i) q^{88} +(-200851. + 417071. i) q^{89} +(49021.0 - 61470.4i) q^{90} +(-309046. - 70537.8i) q^{91} -1.05984e6 q^{92} -195018. i q^{93} +(-108247. - 24706.6i) q^{94} +(426065. + 534269. i) q^{95} +(33388.3 + 146283. i) q^{96} +(847827. + 1.06314e6i) q^{97} +(-64026.4 - 132952. i) q^{98} +(117709. - 515715. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.716329 1.48747i −0.0895411 0.185934i 0.851389 0.524535i \(-0.175761\pi\)
−0.940930 + 0.338601i \(0.890046\pi\)
\(3\) 3.40007 7.06031i 0.125928 0.261493i −0.828467 0.560037i \(-0.810787\pi\)
0.954396 + 0.298544i \(0.0965011\pi\)
\(4\) 38.2039 47.9062i 0.596936 0.748534i
\(5\) 69.5466 + 15.8736i 0.556373 + 0.126988i 0.491456 0.870902i \(-0.336465\pi\)
0.0649165 + 0.997891i \(0.479322\pi\)
\(6\) −12.9376 −0.0598962
\(7\) 168.130i 0.490175i −0.969501 0.245087i \(-0.921183\pi\)
0.969501 0.245087i \(-0.0788167\pi\)
\(8\) −201.638 46.0227i −0.393825 0.0898880i
\(9\) 416.237 + 521.944i 0.570969 + 0.715973i
\(10\) −26.2068 114.819i −0.0262068 0.114819i
\(11\) −494.032 619.497i −0.371174 0.465437i 0.560806 0.827947i \(-0.310491\pi\)
−0.931980 + 0.362510i \(0.881920\pi\)
\(12\) −208.337 432.616i −0.120565 0.250356i
\(13\) 419.543 1838.14i 0.190962 0.836658i −0.785136 0.619324i \(-0.787407\pi\)
0.976097 0.217334i \(-0.0697361\pi\)
\(14\) −250.089 + 120.436i −0.0911401 + 0.0438908i
\(15\) 348.535 437.049i 0.103270 0.129496i
\(16\) −796.646 3490.33i −0.194494 0.852133i
\(17\) −1487.47 6517.04i −0.302763 1.32649i −0.865938 0.500152i \(-0.833277\pi\)
0.563175 0.826338i \(-0.309580\pi\)
\(18\) 478.215 993.023i 0.0819984 0.170272i
\(19\) 7489.56 + 5972.73i 1.09193 + 0.870787i 0.992253 0.124233i \(-0.0396470\pi\)
0.0996791 + 0.995020i \(0.468218\pi\)
\(20\) 3417.39 2725.28i 0.427174 0.340660i
\(21\) −1187.05 571.653i −0.128177 0.0617269i
\(22\) −567.595 + 1178.62i −0.0533053 + 0.110690i
\(23\) −10784.3 13523.1i −0.886359 1.11146i −0.993112 0.117173i \(-0.962617\pi\)
0.106753 0.994286i \(-0.465955\pi\)
\(24\) −1010.52 + 1267.15i −0.0730988 + 0.0916630i
\(25\) −9492.88 4571.53i −0.607544 0.292578i
\(26\) −3034.71 + 692.652i −0.172662 + 0.0394090i
\(27\) 10669.8 2435.31i 0.542081 0.123727i
\(28\) −8054.46 6423.22i −0.366913 0.292603i
\(29\) 16175.3 + 33588.4i 0.663222 + 1.37720i 0.912626 + 0.408796i \(0.134051\pi\)
−0.249403 + 0.968400i \(0.580234\pi\)
\(30\) −899.764 205.365i −0.0333246 0.00760612i
\(31\) 22421.8 10797.8i 0.752635 0.362450i −0.0179063 0.999840i \(-0.505700\pi\)
0.770542 + 0.637390i \(0.219986\pi\)
\(32\) −14970.0 + 11938.2i −0.456848 + 0.364324i
\(33\) −6053.58 + 1381.69i −0.168450 + 0.0384476i
\(34\) −8628.40 + 6880.92i −0.219530 + 0.175069i
\(35\) 2668.82 11692.9i 0.0622466 0.272720i
\(36\) 40906.2 0.876762
\(37\) 93504.2i 1.84597i 0.384830 + 0.922987i \(0.374260\pi\)
−0.384830 + 0.922987i \(0.625740\pi\)
\(38\) 3519.27 15418.9i 0.0641361 0.280998i
\(39\) −11551.3 9211.89i −0.194733 0.155294i
\(40\) −13292.7 6401.44i −0.207699 0.100022i
\(41\) −68207.6 + 32847.0i −0.989648 + 0.476590i −0.857413 0.514629i \(-0.827930\pi\)
−0.132235 + 0.991218i \(0.542215\pi\)
\(42\) 2175.19i 0.0293596i
\(43\) 44101.9 + 66154.2i 0.554692 + 0.832055i
\(44\) −48551.7 −0.569963
\(45\) 20662.7 + 42906.6i 0.226751 + 0.470854i
\(46\) −12390.1 + 25728.4i −0.127292 + 0.264325i
\(47\) 41930.8 52579.6i 0.403868 0.506435i −0.537756 0.843101i \(-0.680728\pi\)
0.941624 + 0.336666i \(0.109299\pi\)
\(48\) −27351.5 6242.80i −0.247319 0.0564489i
\(49\) 89381.3 0.759729
\(50\) 17395.1i 0.139161i
\(51\) −51069.8 11656.4i −0.384994 0.0878724i
\(52\) −72030.0 90322.7i −0.512275 0.642373i
\(53\) −295.187 1293.30i −0.00198276 0.00868703i 0.973927 0.226862i \(-0.0728467\pi\)
−0.975910 + 0.218175i \(0.929990\pi\)
\(54\) −11265.5 14126.5i −0.0715435 0.0897127i
\(55\) −24524.7 50926.0i −0.147406 0.306092i
\(56\) −7737.79 + 33901.5i −0.0440608 + 0.193043i
\(57\) 67634.3 32571.0i 0.365210 0.175876i
\(58\) 38375.0 48120.7i 0.196682 0.246631i
\(59\) 60509.5 + 265109.i 0.294623 + 1.29083i 0.878013 + 0.478637i \(0.158869\pi\)
−0.583389 + 0.812193i \(0.698274\pi\)
\(60\) −7621.96 33394.0i −0.0352868 0.154602i
\(61\) 115247. 239313.i 0.507739 1.05433i −0.476775 0.879025i \(-0.658194\pi\)
0.984514 0.175306i \(-0.0560914\pi\)
\(62\) −32122.7 25617.0i −0.134784 0.107486i
\(63\) 87754.5 69981.8i 0.350952 0.279875i
\(64\) −177954. 85698.3i −0.678842 0.326913i
\(65\) 58355.6 121177.i 0.212492 0.441244i
\(66\) 6391.58 + 8014.79i 0.0222319 + 0.0278779i
\(67\) 113411. 142213.i 0.377078 0.472840i −0.556690 0.830720i \(-0.687929\pi\)
0.933768 + 0.357880i \(0.116500\pi\)
\(68\) −369034. 177717.i −1.17365 0.565201i
\(69\) −132145. + 30161.2i −0.402256 + 0.0918124i
\(70\) −19304.6 + 4406.14i −0.0562815 + 0.0128459i
\(71\) 120336. + 95964.5i 0.336217 + 0.268124i 0.777015 0.629482i \(-0.216733\pi\)
−0.440798 + 0.897606i \(0.645304\pi\)
\(72\) −59908.0 124400.i −0.160505 0.333291i
\(73\) 127177. + 29027.2i 0.326918 + 0.0746169i 0.382830 0.923819i \(-0.374950\pi\)
−0.0559121 + 0.998436i \(0.517807\pi\)
\(74\) 139085. 66979.7i 0.343229 0.165291i
\(75\) −64552.8 + 51479.2i −0.153014 + 0.122025i
\(76\) 572261. 130615.i 1.30363 0.297544i
\(77\) −104156. + 83061.7i −0.228146 + 0.181940i
\(78\) −5427.87 + 23781.0i −0.0114379 + 0.0501126i
\(79\) −574914. −1.16606 −0.583031 0.812450i \(-0.698133\pi\)
−0.583031 + 0.812450i \(0.698133\pi\)
\(80\) 255387.i 0.498802i
\(81\) −89211.3 + 390860.i −0.167867 + 0.735472i
\(82\) 97718.0 + 77927.5i 0.177228 + 0.141335i
\(83\) 536050. + 258148.i 0.937499 + 0.451476i 0.839286 0.543690i \(-0.182973\pi\)
0.0982125 + 0.995165i \(0.468688\pi\)
\(84\) −72735.6 + 35027.6i −0.122718 + 0.0590980i
\(85\) 476850.i 0.776470i
\(86\) 66811.1 112989.i 0.105040 0.177639i
\(87\) 292142. 0.443645
\(88\) 71105.0 + 147651.i 0.104340 + 0.216665i
\(89\) −200851. + 417071.i −0.284908 + 0.591617i −0.993478 0.114023i \(-0.963626\pi\)
0.708570 + 0.705640i \(0.249340\pi\)
\(90\) 49021.0 61470.4i 0.0672442 0.0843216i
\(91\) −309046. 70537.8i −0.410109 0.0936047i
\(92\) −1.05984e6 −1.36106
\(93\) 195018.i 0.242452i
\(94\) −108247. 24706.6i −0.130326 0.0297461i
\(95\) 426065. + 534269.i 0.496942 + 0.623145i
\(96\) 33388.3 + 146283.i 0.0377381 + 0.165341i
\(97\) 847827. + 1.06314e6i 0.928949 + 1.16487i 0.986042 + 0.166496i \(0.0532454\pi\)
−0.0570930 + 0.998369i \(0.518183\pi\)
\(98\) −64026.4 132952.i −0.0680269 0.141259i
\(99\) 117709. 515715.i 0.121312 0.531501i
\(100\) −581669. + 280117.i −0.581669 + 0.280117i
\(101\) −1.16452e6 + 1.46027e6i −1.13027 + 1.41732i −0.234892 + 0.972022i \(0.575473\pi\)
−0.895383 + 0.445297i \(0.853098\pi\)
\(102\) 19244.3 + 84314.7i 0.0181343 + 0.0794517i
\(103\) 79315.4 + 347503.i 0.0725848 + 0.318015i 0.998166 0.0605340i \(-0.0192804\pi\)
−0.925581 + 0.378549i \(0.876423\pi\)
\(104\) −169192. + 351331.i −0.150411 + 0.312332i
\(105\) −73481.1 58599.2i −0.0634757 0.0506202i
\(106\) −1712.29 + 1365.51i −0.00143768 + 0.00114651i
\(107\) 337892. + 162720.i 0.275820 + 0.132828i 0.566681 0.823937i \(-0.308227\pi\)
−0.290860 + 0.956765i \(0.593942\pi\)
\(108\) 290961. 604187.i 0.230974 0.479623i
\(109\) 101435. + 127195.i 0.0783261 + 0.0982178i 0.819451 0.573150i \(-0.194279\pi\)
−0.741125 + 0.671368i \(0.765707\pi\)
\(110\) −58183.2 + 72959.5i −0.0437139 + 0.0548155i
\(111\) 660168. + 317920.i 0.482709 + 0.232461i
\(112\) −586830. + 133940.i −0.417694 + 0.0953359i
\(113\) 594690. 135734.i 0.412150 0.0940706i −0.0114180 0.999935i \(-0.503635\pi\)
0.423568 + 0.905864i \(0.360777\pi\)
\(114\) −96896.8 77272.6i −0.0654026 0.0521568i
\(115\) −535353. 1.11167e6i −0.352003 0.730943i
\(116\) 2.22705e6 + 508311.i 1.42678 + 0.325653i
\(117\) 1.13403e6 546122.i 0.708058 0.340983i
\(118\) 350998. 279911.i 0.213628 0.170363i
\(119\) −1.09571e6 + 250089.i −0.650212 + 0.148407i
\(120\) −90392.3 + 72085.4i −0.0523104 + 0.0417161i
\(121\) 254501. 1.11504e6i 0.143659 0.629412i
\(122\) −438526. −0.241499
\(123\) 593249.i 0.318802i
\(124\) 339320. 1.48666e6i 0.177969 0.779733i
\(125\) −1.45907e6 1.16357e6i −0.747043 0.595747i
\(126\) −166957. 80402.3i −0.0834628 0.0401936i
\(127\) 86453.2 41633.7i 0.0422056 0.0203251i −0.412662 0.910884i \(-0.635401\pi\)
0.454868 + 0.890559i \(0.349687\pi\)
\(128\) 1.55152e6i 0.739823i
\(129\) 617019. 86444.6i 0.287428 0.0402688i
\(130\) −222049. −0.101069
\(131\) −1.09070e6 2.26487e6i −0.485168 1.00746i −0.989578 0.143997i \(-0.954004\pi\)
0.504410 0.863464i \(-0.331710\pi\)
\(132\) −165079. + 342790.i −0.0717745 + 0.149041i
\(133\) 1.00419e6 1.25922e6i 0.426838 0.535238i
\(134\) −292777. 66824.5i −0.121681 0.0277729i
\(135\) 780705. 0.317311
\(136\) 1.38254e6i 0.549620i
\(137\) −3.64184e6 831227.i −1.41631 0.323264i −0.555217 0.831705i \(-0.687365\pi\)
−0.861097 + 0.508441i \(0.830222\pi\)
\(138\) 139523. + 174956.i 0.0530895 + 0.0665721i
\(139\) −586352. 2.56898e6i −0.218330 0.956568i −0.958711 0.284381i \(-0.908212\pi\)
0.740381 0.672188i \(-0.234645\pi\)
\(140\) −458201. 574566.i −0.166983 0.209390i
\(141\) −228661. 474819.i −0.0815707 0.169383i
\(142\) 56544.6 247738.i 0.0197481 0.0865223i
\(143\) −1.34599e6 + 648194.i −0.460292 + 0.221665i
\(144\) 1.49017e6 1.86861e6i 0.499054 0.625794i
\(145\) 591772. + 2.59272e6i 0.194111 + 0.850456i
\(146\) −47923.1 209965.i −0.0153988 0.0674664i
\(147\) 303902. 631060.i 0.0956714 0.198664i
\(148\) 4.47943e6 + 3.57222e6i 1.38177 + 1.10193i
\(149\) −1.71496e6 + 1.36763e6i −0.518436 + 0.413439i −0.847441 0.530889i \(-0.821858\pi\)
0.329005 + 0.944328i \(0.393287\pi\)
\(150\) 122815. + 59144.5i 0.0363896 + 0.0175243i
\(151\) 998705. 2.07383e6i 0.290072 0.602342i −0.704105 0.710096i \(-0.748652\pi\)
0.994178 + 0.107754i \(0.0343659\pi\)
\(152\) −1.23530e6 1.54902e6i −0.351757 0.441089i
\(153\) 2.78239e6 3.48901e6i 0.776862 0.974155i
\(154\) 198162. + 95429.7i 0.0542572 + 0.0261289i
\(155\) 1.73076e6 395034.i 0.464773 0.106081i
\(156\) −882613. + 201451.i −0.232486 + 0.0530634i
\(157\) −1.77670e6 1.41687e6i −0.459108 0.366126i 0.366456 0.930435i \(-0.380571\pi\)
−0.825563 + 0.564309i \(0.809143\pi\)
\(158\) 411827. + 855168.i 0.104410 + 0.216811i
\(159\) −10134.7 2313.19i −0.00252128 0.000575466i
\(160\) −1.23061e6 + 592633.i −0.300443 + 0.144686i
\(161\) −2.27364e6 + 1.81317e6i −0.544809 + 0.434471i
\(162\) 645298. 147285.i 0.151780 0.0346428i
\(163\) 3.47035e6 2.76751e6i 0.801328 0.639038i −0.134730 0.990882i \(-0.543017\pi\)
0.936059 + 0.351844i \(0.114445\pi\)
\(164\) −1.03222e6 + 4.52245e6i −0.234013 + 1.02528i
\(165\) −442939. −0.0986034
\(166\) 982277.i 0.214738i
\(167\) 44133.1 193360.i 0.00947578 0.0415161i −0.969969 0.243229i \(-0.921793\pi\)
0.979445 + 0.201712i \(0.0646506\pi\)
\(168\) 213046. + 169898.i 0.0449309 + 0.0358312i
\(169\) 1.14607e6 + 551918.i 0.237438 + 0.114344i
\(170\) −709300. + 341581.i −0.144372 + 0.0695260i
\(171\) 6.39520e6i 1.27899i
\(172\) 4.85406e6 + 414595.i 0.953938 + 0.0814776i
\(173\) −8.32663e6 −1.60817 −0.804083 0.594517i \(-0.797343\pi\)
−0.804083 + 0.594517i \(0.797343\pi\)
\(174\) −209270. 434553.i −0.0397245 0.0824887i
\(175\) −768611. + 1.59604e6i −0.143414 + 0.297803i
\(176\) −1.76868e6 + 2.21786e6i −0.324423 + 0.406814i
\(177\) 2.07749e6 + 474173.i 0.374644 + 0.0855101i
\(178\) 764257. 0.135513
\(179\) 7.64018e6i 1.33212i 0.745896 + 0.666062i \(0.232021\pi\)
−0.745896 + 0.666062i \(0.767979\pi\)
\(180\) 2.84489e6 + 649327.i 0.487807 + 0.111339i
\(181\) 1.60887e6 + 2.01746e6i 0.271322 + 0.340227i 0.898761 0.438439i \(-0.144468\pi\)
−0.627439 + 0.778666i \(0.715897\pi\)
\(182\) 116456. + 510225.i 0.0193173 + 0.0846346i
\(183\) −1.29778e6 1.62736e6i −0.211761 0.265540i
\(184\) 1.55216e6 + 3.22310e6i 0.249163 + 0.517393i
\(185\) −1.48424e6 + 6.50290e6i −0.234418 + 1.02705i
\(186\) −290083. + 139697.i −0.0450800 + 0.0217094i
\(187\) −3.30243e6 + 4.14112e6i −0.505020 + 0.633275i
\(188\) −916966. 4.01749e6i −0.138000 0.604618i
\(189\) −409449. 1.79391e6i −0.0606476 0.265715i
\(190\) 489507. 1.01647e6i 0.0713671 0.148195i
\(191\) −3.93125e6 3.13507e6i −0.564197 0.449932i 0.299391 0.954131i \(-0.403217\pi\)
−0.863588 + 0.504198i \(0.831788\pi\)
\(192\) −1.21011e6 + 965033.i −0.170971 + 0.136345i
\(193\) −1.23255e7 5.93566e6i −1.71449 0.825653i −0.990770 0.135554i \(-0.956719\pi\)
−0.723715 0.690099i \(-0.757567\pi\)
\(194\) 974070. 2.02268e6i 0.133409 0.277026i
\(195\) −657132. 824017.i −0.0886234 0.111130i
\(196\) 3.41471e6 4.28192e6i 0.453509 0.568683i
\(197\) 7.93316e6 + 3.82041e6i 1.03764 + 0.499702i 0.873546 0.486742i \(-0.161815\pi\)
0.164097 + 0.986444i \(0.447529\pi\)
\(198\) −851429. + 194333.i −0.109686 + 0.0250352i
\(199\) 1.00887e7 2.30269e6i 1.28020 0.292197i 0.472259 0.881460i \(-0.343439\pi\)
0.807942 + 0.589262i \(0.200582\pi\)
\(200\) 1.70374e6 + 1.35868e6i 0.212967 + 0.169835i
\(201\) −618462. 1.28425e6i −0.0761596 0.158147i
\(202\) 3.00628e6 + 686165.i 0.364734 + 0.0832481i
\(203\) 5.64722e6 2.71956e6i 0.675067 0.325095i
\(204\) −2.50948e6 + 2.00124e6i −0.295592 + 0.235727i
\(205\) −5.26500e6 + 1.20170e6i −0.611135 + 0.139488i
\(206\) 460085. 366906.i 0.0526304 0.0419714i
\(207\) 2.56948e6 1.12576e7i 0.289691 1.26922i
\(208\) −6.74994e6 −0.750085
\(209\) 7.59048e6i 0.831439i
\(210\) −34528.1 + 151277.i −0.00372833 + 0.0163349i
\(211\) 1.05705e7 + 8.42973e6i 1.12525 + 0.897359i 0.995554 0.0941949i \(-0.0300277\pi\)
0.129698 + 0.991553i \(0.458599\pi\)
\(212\) −73234.3 35267.8i −0.00768612 0.00370144i
\(213\) 1.08669e6 523322.i 0.112452 0.0541539i
\(214\) 619166.i 0.0631779i
\(215\) 2.01704e6 + 5.30086e6i 0.202954 + 0.533373i
\(216\) −2.26352e6 −0.224607
\(217\) −1.81543e6 3.76977e6i −0.177664 0.368923i
\(218\) 116538. 241994.i 0.0112486 0.0233580i
\(219\) 637350. 799212.i 0.0606800 0.0760903i
\(220\) −3.37661e6 770688.i −0.317112 0.0723787i
\(221\) −1.26033e7 −1.16763
\(222\) 1.20972e6i 0.110567i
\(223\) −1.88336e6 429866.i −0.169832 0.0387631i 0.136759 0.990604i \(-0.456331\pi\)
−0.306591 + 0.951841i \(0.599188\pi\)
\(224\) 2.00717e6 + 2.51691e6i 0.178583 + 0.223936i
\(225\) −1.56520e6 6.85759e6i −0.137411 0.602038i
\(226\) −627894. 787355.i −0.0543953 0.0682095i
\(227\) −4.57599e6 9.50214e6i −0.391208 0.812351i −0.999822 0.0188847i \(-0.993988\pi\)
0.608614 0.793466i \(-0.291726\pi\)
\(228\) 1.02354e6 4.48444e6i 0.0863579 0.378359i
\(229\) 4.59930e6 2.21491e6i 0.382988 0.184437i −0.232476 0.972602i \(-0.574683\pi\)
0.615464 + 0.788165i \(0.288969\pi\)
\(230\) −1.27009e6 + 1.59265e6i −0.104388 + 0.130899i
\(231\) 232304. + 1.01779e6i 0.0188460 + 0.0825699i
\(232\) −1.71574e6 7.51715e6i −0.137400 0.601990i
\(233\) −3.79858e6 + 7.88783e6i −0.300299 + 0.623577i −0.995450 0.0952869i \(-0.969623\pi\)
0.695151 + 0.718864i \(0.255337\pi\)
\(234\) −1.62468e6 1.29564e6i −0.126800 0.101120i
\(235\) 3.75077e6 2.99114e6i 0.289013 0.230480i
\(236\) 1.50121e7 + 7.22943e6i 1.14210 + 0.550007i
\(237\) −1.95475e6 + 4.05907e6i −0.146840 + 0.304917i
\(238\) 1.15689e6 + 1.45069e6i 0.0858145 + 0.107608i
\(239\) 8.14108e6 1.02086e7i 0.596332 0.747777i −0.388469 0.921462i \(-0.626996\pi\)
0.984801 + 0.173685i \(0.0555674\pi\)
\(240\) −1.80311e6 868331.i −0.130433 0.0628133i
\(241\) −1.57620e7 + 3.59756e6i −1.12605 + 0.257014i −0.744690 0.667411i \(-0.767403\pi\)
−0.381364 + 0.924425i \(0.624545\pi\)
\(242\) −1.84090e6 + 420173.i −0.129892 + 0.0296471i
\(243\) 8.69396e6 + 6.93320e6i 0.605897 + 0.483187i
\(244\) −7.06169e6 1.46637e7i −0.486115 1.00943i
\(245\) 6.21617e6 + 1.41880e6i 0.422692 + 0.0964768i
\(246\) 882440. 424961.i 0.0592762 0.0285459i
\(247\) 1.41209e7 1.12610e7i 0.937068 0.747287i
\(248\) −5.01803e6 + 1.14533e6i −0.328987 + 0.0750891i
\(249\) 3.64521e6 2.90696e6i 0.236115 0.188296i
\(250\) −685603. + 3.00382e6i −0.0438786 + 0.192245i
\(251\) 7.39212e6 0.467463 0.233732 0.972301i \(-0.424906\pi\)
0.233732 + 0.972301i \(0.424906\pi\)
\(252\) 6.87756e6i 0.429767i
\(253\) −3.04972e6 + 1.33617e7i −0.188321 + 0.825089i
\(254\) −123858. 98773.3i −0.00755827 0.00602752i
\(255\) −3.36671e6 1.62132e6i −0.203041 0.0977796i
\(256\) −9.08123e6 + 4.37329e6i −0.541284 + 0.260669i
\(257\) 5.63840e6i 0.332167i −0.986112 0.166083i \(-0.946888\pi\)
0.986112 0.166083i \(-0.0531121\pi\)
\(258\) −570572. 855875.i −0.0332240 0.0498369i
\(259\) 1.57209e7 0.904850
\(260\) −3.57570e6 7.42501e6i −0.203442 0.422452i
\(261\) −1.07985e7 + 2.24234e7i −0.607355 + 1.26119i
\(262\) −2.58762e6 + 3.24478e6i −0.143879 + 0.180418i
\(263\) 8.41235e6 + 1.92006e6i 0.462434 + 0.105548i 0.447390 0.894339i \(-0.352354\pi\)
0.0150448 + 0.999887i \(0.495211\pi\)
\(264\) 1.28422e6 0.0697958
\(265\) 94630.2i 0.00508502i
\(266\) −2.59239e6 591695.i −0.137738 0.0314379i
\(267\) 2.26175e6 + 2.83614e6i 0.118826 + 0.149003i
\(268\) −2.48013e6 1.08662e7i −0.128846 0.564511i
\(269\) 583469. + 731648.i 0.0299751 + 0.0375876i 0.796593 0.604516i \(-0.206633\pi\)
−0.766618 + 0.642103i \(0.778062\pi\)
\(270\) −559241. 1.16128e6i −0.0284124 0.0589989i
\(271\) −6.23936e6 + 2.73364e7i −0.313496 + 1.37352i 0.535240 + 0.844700i \(0.320221\pi\)
−0.848736 + 0.528817i \(0.822636\pi\)
\(272\) −2.15617e7 + 1.03836e7i −1.07146 + 0.515988i
\(273\) −1.54880e6 + 1.94213e6i −0.0761213 + 0.0954531i
\(274\) 1.37233e6 + 6.01257e6i 0.0667124 + 0.292286i
\(275\) 1.85774e6 + 8.13929e6i 0.0893279 + 0.391371i
\(276\) −3.60354e6 + 7.48283e6i −0.171397 + 0.355909i
\(277\) 1.38371e7 + 1.10347e7i 0.651035 + 0.519183i 0.892397 0.451252i \(-0.149022\pi\)
−0.241361 + 0.970435i \(0.577594\pi\)
\(278\) −3.40126e6 + 2.71241e6i −0.158309 + 0.126247i
\(279\) 1.49686e7 + 7.20849e6i 0.689236 + 0.331919i
\(280\) −1.07627e6 + 2.23491e6i −0.0490285 + 0.101809i
\(281\) −2.07693e6 2.60438e6i −0.0936056 0.117378i 0.732823 0.680420i \(-0.238202\pi\)
−0.826428 + 0.563042i \(0.809631\pi\)
\(282\) −542483. + 680252.i −0.0241902 + 0.0303335i
\(283\) −2.26763e7 1.09203e7i −1.00049 0.481810i −0.139384 0.990238i \(-0.544512\pi\)
−0.861104 + 0.508428i \(0.830227\pi\)
\(284\) 9.19459e6 2.09861e6i 0.401400 0.0916169i
\(285\) 5.22075e6 1.19160e6i 0.225527 0.0514751i
\(286\) 1.92834e6 + 1.53780e6i 0.0824301 + 0.0657358i
\(287\) 5.52257e6 + 1.14677e7i 0.233612 + 0.485101i
\(288\) −1.24621e7 2.84440e6i −0.521693 0.119073i
\(289\) −1.85121e7 + 8.91495e6i −0.766941 + 0.369339i
\(290\) 3.43270e6 2.73748e6i 0.140748 0.112243i
\(291\) 1.03888e7 2.37117e6i 0.421585 0.0962240i
\(292\) 6.24923e6 4.98359e6i 0.251002 0.200168i
\(293\) 1.08178e6 4.73958e6i 0.0430066 0.188424i −0.948862 0.315692i \(-0.897763\pi\)
0.991868 + 0.127267i \(0.0406206\pi\)
\(294\) −1.15638e6 −0.0455048
\(295\) 1.93980e7i 0.755596i
\(296\) 4.30331e6 1.88540e7i 0.165931 0.726991i
\(297\) −6.77989e6 5.40678e6i −0.258793 0.206381i
\(298\) 3.26279e6 + 1.57128e6i 0.123294 + 0.0593751i
\(299\) −2.93818e7 + 1.41495e7i −1.09917 + 0.529333i
\(300\) 5.05918e6i 0.187377i
\(301\) 1.11225e7 7.41486e6i 0.407853 0.271896i
\(302\) −3.80017e6 −0.137969
\(303\) 6.35047e6 + 1.31869e7i 0.228285 + 0.474039i
\(304\) 1.48803e7 3.08992e7i 0.529652 1.09983i
\(305\) 1.18138e7 1.48140e7i 0.416380 0.522124i
\(306\) −7.18291e6 1.63945e6i −0.250689 0.0572182i
\(307\) 1.79454e7 0.620208 0.310104 0.950703i \(-0.399636\pi\)
0.310104 + 0.950703i \(0.399636\pi\)
\(308\) 8.16300e6i 0.279381i
\(309\) 2.72316e6 + 621543.i 0.0922991 + 0.0210667i
\(310\) −1.82739e6 2.29148e6i −0.0613404 0.0769184i
\(311\) 5.79941e6 + 2.54089e7i 0.192798 + 0.844704i 0.975093 + 0.221796i \(0.0711918\pi\)
−0.782295 + 0.622908i \(0.785951\pi\)
\(312\) 1.90524e6 + 2.38910e6i 0.0627315 + 0.0786629i
\(313\) −1.47834e6 3.06980e6i −0.0482104 0.100110i 0.875472 0.483269i \(-0.160551\pi\)
−0.923683 + 0.383159i \(0.874836\pi\)
\(314\) −834853. + 3.65773e6i −0.0269663 + 0.118147i
\(315\) 7.21389e6 3.47402e6i 0.230801 0.111148i
\(316\) −2.19640e7 + 2.75419e7i −0.696064 + 0.872837i
\(317\) −4.75973e6 2.08537e7i −0.149419 0.654645i −0.993047 0.117718i \(-0.962442\pi\)
0.843629 0.536927i \(-0.180415\pi\)
\(318\) 3819.00 + 16732.2i 0.000118760 + 0.000520320i
\(319\) 1.28168e7 2.66143e7i 0.394827 0.819868i
\(320\) −1.10158e7 8.78479e6i −0.336175 0.268091i
\(321\) 2.29771e6 1.83236e6i 0.0694672 0.0553983i
\(322\) 4.32571e6 + 2.08315e6i 0.129566 + 0.0623955i
\(323\) 2.77840e7 5.76941e7i 0.824494 1.71208i
\(324\) 1.53164e7 + 1.92062e7i 0.450320 + 0.564684i
\(325\) −1.23858e7 + 1.55313e7i −0.360805 + 0.452436i
\(326\) −6.60251e6 3.17960e6i −0.190571 0.0917740i
\(327\) 1.24292e6 283688.i 0.0355467 0.00811331i
\(328\) 1.52650e7 3.48413e6i 0.432588 0.0987354i
\(329\) −8.84020e6 7.04983e6i −0.248242 0.197966i
\(330\) 317290. + 658859.i 0.00882905 + 0.0183337i
\(331\) −4.69928e7 1.07258e7i −1.29583 0.295764i −0.481642 0.876368i \(-0.659960\pi\)
−0.814187 + 0.580603i \(0.802817\pi\)
\(332\) 3.28461e7 1.58178e7i 0.897572 0.432248i
\(333\) −4.88039e7 + 3.89198e7i −1.32167 + 1.05399i
\(334\) −319231. + 72862.4i −0.00856772 + 0.00195553i
\(335\) 1.01448e7 8.09019e6i 0.269841 0.215191i
\(336\) −1.04960e6 + 4.59861e6i −0.0276698 + 0.121230i
\(337\) 3.09580e7 0.808879 0.404440 0.914565i \(-0.367467\pi\)
0.404440 + 0.914565i \(0.367467\pi\)
\(338\) 2.10010e6i 0.0543864i
\(339\) 1.06366e6 4.66020e6i 0.0273026 0.119621i
\(340\) −2.28440e7 1.82175e7i −0.581214 0.463503i
\(341\) −1.77663e7 8.55578e6i −0.448056 0.215773i
\(342\) 9.51268e6 4.58106e6i 0.237807 0.114522i
\(343\) 3.48080e7i 0.862575i
\(344\) −5.84805e6 1.53689e7i −0.143660 0.377545i
\(345\) −9.66899e6 −0.235464
\(346\) 5.96460e6 + 1.23856e7i 0.143997 + 0.299013i
\(347\) 1.39995e7 2.90704e7i 0.335062 0.695764i −0.663566 0.748118i \(-0.730958\pi\)
0.998629 + 0.0523534i \(0.0166722\pi\)
\(348\) 1.11610e7 1.39954e7i 0.264828 0.332084i
\(349\) −4.05277e7 9.25019e6i −0.953402 0.217608i −0.282594 0.959239i \(-0.591195\pi\)
−0.670807 + 0.741632i \(0.734052\pi\)
\(350\) 2.92464e6 0.0682131
\(351\) 2.06343e7i 0.477164i
\(352\) 1.47913e7 + 3.37603e6i 0.339140 + 0.0774066i
\(353\) 1.09577e7 + 1.37405e7i 0.249113 + 0.312378i 0.890628 0.454733i \(-0.150265\pi\)
−0.641515 + 0.767110i \(0.721694\pi\)
\(354\) −782846. 3.42987e6i −0.0176468 0.0773157i
\(355\) 6.84564e6 + 8.58417e6i 0.153013 + 0.191873i
\(356\) 1.23070e7 + 2.55558e7i 0.272774 + 0.566420i
\(357\) −1.95978e6 + 8.58637e6i −0.0430728 + 0.188714i
\(358\) 1.13646e7 5.47288e6i 0.247687 0.119280i
\(359\) 4.07281e7 5.10714e7i 0.880259 1.10381i −0.113641 0.993522i \(-0.536251\pi\)
0.993900 0.110288i \(-0.0351773\pi\)
\(360\) −2.19172e6 9.60257e6i −0.0469763 0.205816i
\(361\) 9.95139e6 + 4.35999e7i 0.211525 + 0.926753i
\(362\) 1.84843e6 3.83831e6i 0.0389653 0.0809123i
\(363\) −7.00721e6 5.58807e6i −0.146496 0.116827i
\(364\) −1.51860e7 + 1.21104e7i −0.314875 + 0.251104i
\(365\) 8.38394e6 + 4.03749e6i 0.172413 + 0.0830296i
\(366\) −1.49102e6 + 3.09613e6i −0.0304116 + 0.0631504i
\(367\) −3.52767e7 4.42356e7i −0.713658 0.894898i 0.284303 0.958735i \(-0.408238\pi\)
−0.997960 + 0.0638362i \(0.979666\pi\)
\(368\) −3.86089e7 + 4.84140e7i −0.774719 + 0.971467i
\(369\) −4.55348e7 2.19284e7i −0.906284 0.436443i
\(370\) 1.07361e7 2.45044e6i 0.211953 0.0483770i
\(371\) −217442. + 49629.8i −0.00425816 + 0.000971898i
\(372\) −9.34255e6 7.45043e6i −0.181483 0.144728i
\(373\) −1.00497e7 2.08685e7i −0.193655 0.402128i 0.781420 0.624006i \(-0.214496\pi\)
−0.975075 + 0.221877i \(0.928782\pi\)
\(374\) 8.52542e6 + 1.94587e6i 0.162967 + 0.0371963i
\(375\) −1.31761e7 + 6.34527e6i −0.249858 + 0.120325i
\(376\) −1.08747e7 + 8.67230e6i −0.204576 + 0.163144i
\(377\) 6.85264e7 1.56407e7i 1.27889 0.291899i
\(378\) −2.37509e6 + 1.89407e6i −0.0439749 + 0.0350688i
\(379\) −1.60603e7 + 7.03648e7i −0.295009 + 1.29252i 0.582449 + 0.812868i \(0.302095\pi\)
−0.877458 + 0.479653i \(0.840762\pi\)
\(380\) 4.18721e7 0.763088
\(381\) 751944.i 0.0135960i
\(382\) −1.84726e6 + 8.09337e6i −0.0331389 + 0.145191i
\(383\) 8.18908e7 + 6.53057e7i 1.45760 + 1.16240i 0.954515 + 0.298162i \(0.0963736\pi\)
0.503086 + 0.864236i \(0.332198\pi\)
\(384\) 1.09542e7 + 5.27527e6i 0.193458 + 0.0931647i
\(385\) −8.56218e6 + 4.12333e6i −0.150038 + 0.0722547i
\(386\) 2.25858e7i 0.392711i
\(387\) −1.61720e7 + 5.05546e7i −0.279017 + 0.872223i
\(388\) 8.33213e7 1.42646
\(389\) −1.17574e7 2.44145e7i −0.199739 0.414762i 0.776908 0.629615i \(-0.216787\pi\)
−0.976646 + 0.214853i \(0.931073\pi\)
\(390\) −754980. + 1.56773e6i −0.0127274 + 0.0264288i
\(391\) −7.20893e7 + 9.03972e7i −1.20598 + 1.51225i
\(392\) −1.80227e7 4.11357e6i −0.299200 0.0682905i
\(393\) −1.96991e7 −0.324541
\(394\) 1.45370e7i 0.237677i
\(395\) −3.99833e7 9.12593e6i −0.648765 0.148076i
\(396\) −2.02090e7 2.53413e7i −0.325431 0.408078i
\(397\) −1.72440e7 7.55508e7i −0.275591 1.20744i −0.903304 0.429000i \(-0.858866\pi\)
0.627713 0.778445i \(-0.283991\pi\)
\(398\) −1.06520e7 1.33572e7i −0.168960 0.211869i
\(399\) −5.47616e6 1.13714e7i −0.0862099 0.179017i
\(400\) −8.39370e6 + 3.67752e7i −0.131152 + 0.574613i
\(401\) −3.32097e7 + 1.59930e7i −0.515030 + 0.248025i −0.673298 0.739371i \(-0.735123\pi\)
0.158269 + 0.987396i \(0.449409\pi\)
\(402\) −1.46726e6 + 1.83989e6i −0.0225855 + 0.0283213i
\(403\) −1.04409e7 4.57444e7i −0.159522 0.698913i
\(404\) 2.54664e7 + 1.11576e8i 0.386210 + 1.69210i
\(405\) −1.24087e7 + 2.57669e7i −0.186793 + 0.387880i
\(406\) −8.09053e6 6.45198e6i −0.120892 0.0964085i
\(407\) 5.79256e7 4.61941e7i 0.859186 0.685178i
\(408\) 9.76119e6 + 4.70074e6i 0.143722 + 0.0692127i
\(409\) −3.31037e7 + 6.87404e7i −0.483845 + 1.00471i 0.505996 + 0.862536i \(0.331125\pi\)
−0.989841 + 0.142178i \(0.954589\pi\)
\(410\) 5.55897e6 + 6.97073e6i 0.0806571 + 0.101141i
\(411\) −1.82512e7 + 2.28863e7i −0.262886 + 0.329648i
\(412\) 1.96777e7 + 9.47629e6i 0.281373 + 0.135502i
\(413\) 4.45728e7 1.01735e7i 0.632732 0.144417i
\(414\) −1.85860e7 + 4.24213e6i −0.261930 + 0.0597838i
\(415\) 3.31827e7 + 2.64623e7i 0.464267 + 0.370240i
\(416\) 1.56635e7 + 3.25255e7i 0.217574 + 0.451798i
\(417\) −2.01314e7 4.59486e6i −0.277630 0.0633672i
\(418\) −1.12906e7 + 5.43728e6i −0.154593 + 0.0744480i
\(419\) 6.17343e7 4.92315e7i 0.839237 0.669269i −0.106461 0.994317i \(-0.533952\pi\)
0.945698 + 0.325048i \(0.105380\pi\)
\(420\) −5.61453e6 + 1.28148e6i −0.0757819 + 0.0172967i
\(421\) 3.56171e7 2.84037e7i 0.477323 0.380652i −0.355069 0.934840i \(-0.615543\pi\)
0.832391 + 0.554188i \(0.186971\pi\)
\(422\) 4.96700e6 2.17618e7i 0.0660931 0.289573i
\(423\) 4.48967e7 0.593190
\(424\) 274364.i 0.00359940i
\(425\) −1.56725e7 + 6.86655e7i −0.204160 + 0.894483i
\(426\) −1.55685e6 1.24155e6i −0.0201381 0.0160596i
\(427\) −4.02357e7 1.93765e7i −0.516807 0.248881i
\(428\) 2.07041e7 9.97056e6i 0.264073 0.127171i
\(429\) 1.17070e7i 0.148277i
\(430\) 6.44001e6 6.79744e6i 0.0809993 0.0854949i
\(431\) −2.34929e7 −0.293431 −0.146715 0.989179i \(-0.546870\pi\)
−0.146715 + 0.989179i \(0.546870\pi\)
\(432\) −1.70001e7 3.53011e7i −0.210863 0.437861i
\(433\) −4.65963e7 + 9.67582e7i −0.573968 + 1.19186i 0.388749 + 0.921344i \(0.372907\pi\)
−0.962716 + 0.270513i \(0.912807\pi\)
\(434\) −4.30698e6 + 5.40079e6i −0.0526871 + 0.0660675i
\(435\) 2.03175e7 + 4.63733e6i 0.246832 + 0.0563379i
\(436\) 9.96862e6 0.120275
\(437\) 1.65694e8i 1.98547i
\(438\) −1.64536e6 375542.i −0.0195811 0.00446926i
\(439\) 3.63501e6 + 4.55816e6i 0.0429647 + 0.0538761i 0.802850 0.596182i \(-0.203316\pi\)
−0.759885 + 0.650058i \(0.774745\pi\)
\(440\) 2.60137e6 + 1.13973e7i 0.0305382 + 0.133797i
\(441\) 3.72038e7 + 4.66520e7i 0.433782 + 0.543945i
\(442\) 9.02809e6 + 1.87470e7i 0.104551 + 0.217103i
\(443\) 1.78535e7 7.82215e7i 0.205359 0.899735i −0.762250 0.647282i \(-0.775906\pi\)
0.967609 0.252453i \(-0.0812373\pi\)
\(444\) 4.04514e7 1.94803e7i 0.462151 0.222560i
\(445\) −2.05889e7 + 2.58177e7i −0.233643 + 0.292980i
\(446\) 709695. + 3.10938e6i 0.00799958 + 0.0350484i
\(447\) 3.82495e6 + 1.67582e7i 0.0428256 + 0.187631i
\(448\) −1.44085e7 + 2.99195e7i −0.160245 + 0.332751i
\(449\) −1.40388e8 1.11955e8i −1.55092 1.23682i −0.854890 0.518809i \(-0.826376\pi\)
−0.696032 0.718011i \(-0.745053\pi\)
\(450\) −9.07927e6 + 7.24048e6i −0.0996353 + 0.0794565i
\(451\) 5.40454e7 + 2.60269e7i 0.589154 + 0.283722i
\(452\) 1.62170e7 3.36749e7i 0.175612 0.364663i
\(453\) −1.12462e7 1.41023e7i −0.120980 0.151704i
\(454\) −1.08563e7 + 1.36133e7i −0.116015 + 0.145478i
\(455\) −2.03734e7 9.81132e6i −0.216287 0.104158i
\(456\) −1.51367e7 + 3.45485e6i −0.159638 + 0.0364363i
\(457\) 1.08403e7 2.47423e6i 0.113578 0.0259234i −0.165354 0.986234i \(-0.552877\pi\)
0.278932 + 0.960311i \(0.410020\pi\)
\(458\) −6.58922e6 5.25473e6i −0.0685863 0.0546958i
\(459\) −3.17420e7 6.59130e7i −0.328244 0.681606i
\(460\) −7.37086e7 1.68235e7i −0.757259 0.172839i
\(461\) −5.52967e7 + 2.66295e7i −0.564412 + 0.271806i −0.694256 0.719728i \(-0.744267\pi\)
0.129844 + 0.991534i \(0.458552\pi\)
\(462\) 1.34753e6 1.07462e6i 0.0136651 0.0108975i
\(463\) −2.03455e7 + 4.64372e6i −0.204986 + 0.0467868i −0.323781 0.946132i \(-0.604954\pi\)
0.118795 + 0.992919i \(0.462097\pi\)
\(464\) 1.04349e8 8.32154e7i 1.04456 0.833009i
\(465\) 3.09562e6 1.35628e7i 0.0307886 0.134893i
\(466\) 1.44540e7 0.142833
\(467\) 6.28255e7i 0.616859i 0.951247 + 0.308429i \(0.0998033\pi\)
−0.951247 + 0.308429i \(0.900197\pi\)
\(468\) 1.71619e7 7.51913e7i 0.167428 0.733550i
\(469\) −2.39102e7 1.90678e7i −0.231774 0.184834i
\(470\) −7.13602e6 3.43653e6i −0.0687326 0.0330999i
\(471\) −1.60444e7 + 7.72659e6i −0.153554 + 0.0739477i
\(472\) 5.62410e7i 0.534844i
\(473\) 1.91946e7 6.00034e7i 0.181382 0.567012i
\(474\) 7.43799e6 0.0698427
\(475\) −4.37930e7 9.09371e7i −0.408624 0.848517i
\(476\) −2.98796e7 + 6.20457e7i −0.277047 + 0.575295i
\(477\) 552162. 692390.i 0.00508758 0.00637963i
\(478\) −2.10167e7 4.79692e6i −0.192433 0.0439217i
\(479\) −1.86436e7 −0.169638 −0.0848189 0.996396i \(-0.527031\pi\)
−0.0848189 + 0.996396i \(0.527031\pi\)
\(480\) 1.07035e7i 0.0967838i
\(481\) 1.71874e8 + 3.92290e7i 1.54445 + 0.352511i
\(482\) 1.66420e7 + 2.08684e7i 0.148616 + 0.186358i
\(483\) 5.07100e6 + 2.22175e7i 0.0450041 + 0.197176i
\(484\) −4.36944e7 5.47911e7i −0.385381 0.483252i
\(485\) 4.20876e7 + 8.73959e7i 0.368918 + 0.766065i
\(486\) 4.08521e6 1.78985e7i 0.0355882 0.155922i
\(487\) 1.27716e8 6.15048e7i 1.10575 0.532503i 0.210291 0.977639i \(-0.432559\pi\)
0.895463 + 0.445135i \(0.146844\pi\)
\(488\) −3.42521e7 + 4.29507e7i −0.294732 + 0.369582i
\(489\) −7.74007e6 3.39115e7i −0.0661940 0.290015i
\(490\) −2.34239e6 1.02627e7i −0.0199100 0.0872315i
\(491\) −7.50590e7 + 1.55862e8i −0.634101 + 1.31672i 0.298014 + 0.954562i \(0.403676\pi\)
−0.932115 + 0.362163i \(0.882038\pi\)
\(492\) 2.84203e7 + 2.26644e7i 0.238634 + 0.190305i
\(493\) 1.94837e8 1.55377e8i 1.62604 1.29672i
\(494\) −2.68657e7 1.29378e7i −0.222852 0.107320i
\(495\) 1.63725e7 3.39978e7i 0.134989 0.280307i
\(496\) −5.55500e7 6.96575e7i −0.455238 0.570851i
\(497\) 1.61345e7 2.02320e7i 0.131428 0.164805i
\(498\) −6.93518e6 3.33981e6i −0.0561526 0.0270417i
\(499\) 1.29131e8 2.94733e7i 1.03927 0.237206i 0.331356 0.943506i \(-0.392494\pi\)
0.707913 + 0.706299i \(0.249637\pi\)
\(500\) −1.11484e8 + 2.54456e7i −0.891874 + 0.203564i
\(501\) −1.21512e6 969029.i −0.00966290 0.00770590i
\(502\) −5.29518e6 1.09956e7i −0.0418572 0.0869173i
\(503\) −1.67139e8 3.81484e7i −1.31333 0.299759i −0.492190 0.870488i \(-0.663804\pi\)
−0.821139 + 0.570729i \(0.806661\pi\)
\(504\) −2.09154e7 + 1.00723e7i −0.163371 + 0.0786753i
\(505\) −1.04168e8 + 8.30714e7i −0.808837 + 0.645026i
\(506\) 2.20598e7 5.03500e6i 0.170274 0.0388640i
\(507\) 7.79343e6 6.21505e6i 0.0598005 0.0476893i
\(508\) 1.30834e6 5.73221e6i 0.00997998 0.0437251i
\(509\) 2.28970e8 1.73630 0.868152 0.496298i \(-0.165308\pi\)
0.868152 + 0.496298i \(0.165308\pi\)
\(510\) 6.16928e6i 0.0465076i
\(511\) 4.88035e6 2.13822e7i 0.0365753 0.160247i
\(512\) 9.06441e7 + 7.22862e7i 0.675351 + 0.538575i
\(513\) 9.44575e7 + 4.54883e7i 0.699656 + 0.336936i
\(514\) −8.38695e6 + 4.03894e6i −0.0617611 + 0.0297426i
\(515\) 2.54267e7i 0.186152i
\(516\) 1.94313e7 3.28615e7i 0.141434 0.239188i
\(517\) −5.32881e7 −0.385619
\(518\) −1.12613e7 2.33843e7i −0.0810213 0.168242i
\(519\) −2.83111e7 + 5.87886e7i −0.202514 + 0.420524i
\(520\) −1.73436e7 + 2.17482e7i −0.123347 + 0.154672i
\(521\) −8.73534e7 1.99378e7i −0.617684 0.140982i −0.0977816 0.995208i \(-0.531175\pi\)
−0.519903 + 0.854225i \(0.674032\pi\)
\(522\) 4.10894e7 0.288880
\(523\) 1.33546e8i 0.933526i 0.884383 + 0.466763i \(0.154580\pi\)
−0.884383 + 0.466763i \(0.845420\pi\)
\(524\) −1.50170e8 3.42754e7i −1.04373 0.238225i
\(525\) 8.65519e6 + 1.08533e7i 0.0598134 + 0.0750037i
\(526\) −3.16997e6 1.38885e7i −0.0217820 0.0954331i
\(527\) −1.03721e8 1.30062e8i −0.708656 0.888627i
\(528\) 9.64513e6 + 2.00283e7i 0.0655249 + 0.136064i
\(529\) −3.36319e7 + 1.47351e8i −0.227187 + 0.995373i
\(530\) −140760. + 67786.3i −0.000945477 + 0.000455318i
\(531\) −1.13186e8 + 1.41931e8i −0.755978 + 0.947966i
\(532\) −2.19603e7 9.62142e7i −0.145849 0.639005i
\(533\) 3.17614e7 + 1.39156e8i 0.209758 + 0.919008i
\(534\) 2.59852e6 5.39589e6i 0.0170649 0.0354356i
\(535\) 2.09163e7 + 1.66802e7i 0.136591 + 0.108928i
\(536\) −2.94130e7 + 2.34561e7i −0.191005 + 0.152322i
\(537\) 5.39421e7 + 2.59771e7i 0.348341 + 0.167752i
\(538\) 670349. 1.39199e6i 0.00430481 0.00893903i
\(539\) −4.41573e7 5.53715e7i −0.281991 0.353606i
\(540\) 2.98260e7 3.74006e7i 0.189415 0.237518i
\(541\) −1.70175e7 8.19521e6i −0.107474 0.0517569i 0.379374 0.925243i \(-0.376139\pi\)
−0.486848 + 0.873486i \(0.661854\pi\)
\(542\) 4.51316e7 1.03010e7i 0.283454 0.0646966i
\(543\) 1.97141e7 4.49962e6i 0.123134 0.0281046i
\(544\) 1.00069e8 + 7.98025e7i 0.621589 + 0.495701i
\(545\) 5.03539e6 + 1.04561e7i 0.0311060 + 0.0645922i
\(546\) 3.99831e6 + 912587.i 0.0245639 + 0.00560656i
\(547\) 4.38578e6 2.11208e6i 0.0267969 0.0129047i −0.420437 0.907322i \(-0.638123\pi\)
0.447234 + 0.894417i \(0.352409\pi\)
\(548\) −1.78954e8 + 1.42711e8i −1.08742 + 0.867191i
\(549\) 1.72878e8 3.94583e7i 1.04478 0.238463i
\(550\) 1.07762e7 8.59375e6i 0.0647706 0.0516529i
\(551\) −7.94683e7 + 3.48173e8i −0.475050 + 2.08133i
\(552\) 2.80336e7 0.166671
\(553\) 9.66603e7i 0.571574i
\(554\) 6.50190e6 2.84867e7i 0.0382394 0.167538i
\(555\) 4.08659e7 + 3.25895e7i 0.239047 + 0.190633i
\(556\) −1.45471e8 7.00551e7i −0.846353 0.407582i
\(557\) −9.83206e7 + 4.73487e7i −0.568956 + 0.273995i −0.696166 0.717881i \(-0.745112\pi\)
0.127210 + 0.991876i \(0.459398\pi\)
\(558\) 2.74290e7i 0.157873i
\(559\) 1.40103e8 5.33109e7i 0.802071 0.305197i
\(560\) −4.29381e7 −0.244500
\(561\) 1.80091e7 + 3.73962e7i 0.102001 + 0.211807i
\(562\) −2.38618e6 + 4.95496e6i −0.0134430 + 0.0279146i
\(563\) 6.69233e6 8.39191e6i 0.0375018 0.0470258i −0.762727 0.646721i \(-0.776140\pi\)
0.800229 + 0.599695i \(0.204711\pi\)
\(564\) −3.14825e7 7.18567e6i −0.175482 0.0400525i
\(565\) 4.35133e7 0.241255
\(566\) 4.15528e7i 0.229167i
\(567\) 6.57153e7 + 1.49991e7i 0.360510 + 0.0822841i
\(568\) −1.98478e7 2.48883e7i −0.108310 0.135816i
\(569\) −6.66881e7 2.92180e8i −0.362003 1.58604i −0.748104 0.663581i \(-0.769036\pi\)
0.386101 0.922456i \(-0.373821\pi\)
\(570\) −5.51225e6 6.91214e6i −0.0297649 0.0373240i
\(571\) −8.67711e7 1.80182e8i −0.466087 0.967839i −0.993021 0.117934i \(-0.962373\pi\)
0.526935 0.849906i \(-0.323341\pi\)
\(572\) −2.03695e7 + 8.92447e7i −0.108841 + 0.476864i
\(573\) −3.55011e7 + 1.70964e7i −0.188703 + 0.0908744i
\(574\) 1.31020e7 1.64293e7i 0.0692788 0.0868729i
\(575\) 4.05530e7 + 1.77674e8i 0.213314 + 0.934589i
\(576\) −2.93414e7 1.28553e8i −0.153537 0.672690i
\(577\) −5.00401e7 + 1.03909e8i −0.260490 + 0.540912i −0.989662 0.143417i \(-0.954191\pi\)
0.729173 + 0.684330i \(0.239905\pi\)
\(578\) 2.65215e7 + 2.11502e7i 0.137345 + 0.109529i
\(579\) −8.38152e7 + 6.68404e7i −0.431805 + 0.344353i
\(580\) 1.46815e8 + 7.07025e7i 0.752467 + 0.362369i
\(581\) 4.34024e7 9.01260e7i 0.221302 0.459538i
\(582\) −1.09688e7 1.37545e7i −0.0556405 0.0697710i
\(583\) −655363. + 821799.i −0.00330732 + 0.00414725i
\(584\) −2.43078e7 1.17060e7i −0.122041 0.0587720i
\(585\) 8.75371e7 1.99798e7i 0.437245 0.0997983i
\(586\) −7.82489e6 + 1.78598e6i −0.0388853 + 0.00887532i
\(587\) 2.89032e7 + 2.30495e7i 0.142900 + 0.113959i 0.692331 0.721580i \(-0.256584\pi\)
−0.549431 + 0.835539i \(0.685155\pi\)
\(588\) −1.86214e7 3.86677e7i −0.0915968 0.190203i
\(589\) 2.32421e8 + 5.30486e7i 1.13744 + 0.259614i
\(590\) 2.88539e7 1.38953e7i 0.140491 0.0676569i
\(591\) 5.39465e7 4.30209e7i 0.261337 0.208409i
\(592\) 3.26361e8 7.44897e7i 1.57302 0.359030i
\(593\) 1.84927e8 1.47474e8i 0.886820 0.707215i −0.0701085 0.997539i \(-0.522335\pi\)
0.956928 + 0.290324i \(0.0937631\pi\)
\(594\) −3.18581e6 + 1.39579e7i −0.0152006 + 0.0665981i
\(595\) −8.01727e7 −0.380606
\(596\) 1.34406e8i 0.634864i
\(597\) 1.80447e7 7.90590e7i 0.0848060 0.371559i
\(598\) 4.20941e7 + 3.35689e7i 0.196842 + 0.156976i
\(599\) −1.36257e8 6.56180e7i −0.633985 0.305311i 0.0891497 0.996018i \(-0.471585\pi\)
−0.723134 + 0.690707i \(0.757299\pi\)
\(600\) 1.53855e7 7.40928e6i 0.0712293 0.0343022i
\(601\) 1.11081e8i 0.511700i 0.966716 + 0.255850i \(0.0823553\pi\)
−0.966716 + 0.255850i \(0.917645\pi\)
\(602\) −1.89968e7 1.12329e7i −0.0870743 0.0514878i
\(603\) 1.21433e8 0.553840
\(604\) −6.11950e7 1.27073e8i −0.277718 0.576688i
\(605\) 3.53993e7 7.35075e7i 0.159856 0.331944i
\(606\) 1.50661e7 1.88923e7i 0.0676991 0.0848920i
\(607\) −3.85778e8 8.80512e7i −1.72493 0.393704i −0.758710 0.651429i \(-0.774170\pi\)
−0.966218 + 0.257725i \(0.917027\pi\)
\(608\) −1.83422e8 −0.816096
\(609\) 4.91178e7i 0.217464i
\(610\) −3.04980e7 6.96097e6i −0.134364 0.0306676i
\(611\) −7.90567e7 9.91340e7i −0.346589 0.434609i
\(612\) −6.08469e7 2.66588e8i −0.265451 1.16302i
\(613\) −2.53666e8 3.18087e8i −1.10124 1.38091i −0.917408 0.397948i \(-0.869722\pi\)
−0.183829 0.982958i \(-0.558849\pi\)
\(614\) −1.28548e7 2.66932e7i −0.0555341 0.115318i
\(615\) −9.41697e6 + 4.12584e7i −0.0404842 + 0.177373i
\(616\) 2.48246e7 1.19549e7i 0.106204 0.0511450i
\(617\) −2.83689e8 + 3.55735e8i −1.20778 + 1.51451i −0.409394 + 0.912358i \(0.634260\pi\)
−0.798385 + 0.602148i \(0.794312\pi\)
\(618\) −1.02615e6 4.49585e6i −0.00434755 0.0190479i
\(619\) 8.18262e7 + 3.58504e8i 0.345001 + 1.51155i 0.788366 + 0.615207i \(0.210927\pi\)
−0.443365 + 0.896341i \(0.646215\pi\)
\(620\) 4.71971e7 9.80057e7i 0.198034 0.411222i
\(621\) −1.47999e8 1.18026e8i −0.617995 0.492835i
\(622\) 3.36407e7 2.68276e7i 0.139796 0.111483i
\(623\) 7.01222e7 + 3.37691e7i 0.289996 + 0.139655i
\(624\) −2.29503e7 + 4.76567e7i −0.0944569 + 0.196142i
\(625\) 1.96416e7 + 2.46298e7i 0.0804520 + 0.100884i
\(626\) −3.50726e6 + 4.39797e6i −0.0142970 + 0.0179279i
\(627\) −5.35912e7 2.58081e7i −0.217416 0.104702i
\(628\) −1.35754e8 + 3.09849e7i −0.548116 + 0.125104i
\(629\) 6.09371e8 1.39085e8i 2.44867 0.558892i
\(630\) −1.03350e7 8.24191e6i −0.0413323 0.0329614i
\(631\) 3.61648e6 + 7.50969e6i 0.0143945 + 0.0298906i 0.908042 0.418879i \(-0.137577\pi\)
−0.893648 + 0.448769i \(0.851862\pi\)
\(632\) 1.15925e8 + 2.64591e7i 0.459225 + 0.104815i
\(633\) 9.54570e7 4.59697e7i 0.376354 0.181243i
\(634\) −2.76098e7 + 2.20181e7i −0.108342 + 0.0863996i
\(635\) 6.67340e6 1.52316e6i 0.0260631 0.00594873i
\(636\) −498003. + 397144.i −0.00193580 + 0.00154375i
\(637\) 3.74993e7 1.64295e8i 0.145079 0.635633i
\(638\) −4.87691e7 −0.187794
\(639\) 1.02752e8i 0.393813i
\(640\) −2.46282e7 + 1.07903e8i −0.0939490 + 0.411617i
\(641\) 1.64515e8 + 1.31197e8i 0.624644 + 0.498137i 0.883903 0.467671i \(-0.154907\pi\)
−0.259259 + 0.965808i \(0.583478\pi\)
\(642\) −4.37150e6 2.10520e6i −0.0165206 0.00795589i
\(643\) 1.99168e7 9.59141e6i 0.0749180 0.0360786i −0.396050 0.918229i \(-0.629619\pi\)
0.470968 + 0.882151i \(0.343905\pi\)
\(644\) 1.78192e8i 0.667159i
\(645\) 4.42837e7 + 3.78236e6i 0.165031 + 0.0140956i
\(646\) −1.05721e8 −0.392160
\(647\) −2.17767e8 4.52197e8i −0.804041 1.66961i −0.740911 0.671603i \(-0.765606\pi\)
−0.0631303 0.998005i \(-0.520108\pi\)
\(648\) 3.59768e7 7.47067e7i 0.132220 0.274558i
\(649\) 1.34341e8 1.68458e8i 0.491444 0.616251i
\(650\) 3.19746e7 + 7.29799e6i 0.116430 + 0.0265744i
\(651\) −3.27883e7 −0.118844
\(652\) 2.71981e8i 0.981286i
\(653\) −4.13301e7 9.43332e6i −0.148432 0.0338786i 0.147659 0.989038i \(-0.452826\pi\)
−0.296091 + 0.955160i \(0.595683\pi\)
\(654\) −1.31232e6 1.64559e6i −0.00469143 0.00588287i
\(655\) −3.99031e7 1.74827e8i −0.141998 0.622135i
\(656\) 1.68984e8 + 2.11900e8i 0.598598 + 0.750618i
\(657\) 3.77850e7 + 7.84613e7i 0.133236 + 0.276668i
\(658\) −4.15393e6 + 1.81995e7i −0.0145808 + 0.0638826i
\(659\) −1.48666e8 + 7.15937e7i −0.519463 + 0.250160i −0.675195 0.737639i \(-0.735941\pi\)
0.155732 + 0.987799i \(0.450226\pi\)
\(660\) −1.69220e7 + 2.12195e7i −0.0588599 + 0.0738080i
\(661\) −2.20555e7 9.66315e7i −0.0763682 0.334591i 0.922283 0.386516i \(-0.126322\pi\)
−0.998651 + 0.0519247i \(0.983464\pi\)
\(662\) 1.77080e7 + 7.75837e7i 0.0610372 + 0.267422i
\(663\) −4.28520e7 + 8.89831e7i −0.147038 + 0.305328i
\(664\) −9.62076e7 7.67230e7i −0.328628 0.262072i
\(665\) 8.98266e7 7.16343e7i 0.305450 0.243588i
\(666\) 9.28518e7 + 4.47151e7i 0.314317 + 0.151367i
\(667\) 2.79780e8 5.80969e8i 0.942843 1.95783i
\(668\) −7.57707e6 9.50134e6i −0.0254198 0.0318754i
\(669\) −9.43855e6 + 1.18356e7i −0.0315230 + 0.0395285i
\(670\) −1.93009e7 9.29483e6i −0.0641732 0.0309042i
\(671\) −2.05190e8 + 4.68332e7i −0.679184 + 0.155019i
\(672\) 2.45946e7 5.61357e6i 0.0810462 0.0184983i
\(673\) 3.09813e8 + 2.47068e8i 1.01638 + 0.810534i 0.982001 0.188875i \(-0.0604841\pi\)
0.0343764 + 0.999409i \(0.489056\pi\)
\(674\) −2.21761e7 4.60492e7i −0.0724279 0.150398i
\(675\) −1.12420e8 2.56592e7i −0.365538 0.0834317i
\(676\) 7.02246e7 3.38184e7i 0.227326 0.109474i
\(677\) −3.49873e8 + 2.79014e8i −1.12757 + 0.899209i −0.995753 0.0920645i \(-0.970653\pi\)
−0.131820 + 0.991274i \(0.542082\pi\)
\(678\) −7.69385e6 + 1.75607e6i −0.0246862 + 0.00563447i
\(679\) 1.78746e8 1.42545e8i 0.570988 0.455347i
\(680\) −2.19459e7 + 9.61512e7i −0.0697954 + 0.305793i
\(681\) −8.26467e7 −0.261688
\(682\) 3.25555e7i 0.102629i
\(683\) 5.38608e7 2.35980e8i 0.169048 0.740649i −0.817332 0.576167i \(-0.804548\pi\)
0.986380 0.164482i \(-0.0525951\pi\)
\(684\) 3.06370e8 + 2.44322e8i 0.957365 + 0.763473i
\(685\) −2.40083e8 1.15618e8i −0.746948 0.359711i
\(686\) −5.17759e7 + 2.49340e7i −0.160382 + 0.0772359i
\(687\) 4.00033e7i 0.123375i
\(688\) 1.95767e8 2.06632e8i 0.601137 0.634501i
\(689\) −2.50111e6 −0.00764671
\(690\) 6.92617e6 + 1.43823e7i 0.0210837 + 0.0437807i
\(691\) −2.39466e8 + 4.97257e8i −0.725789 + 1.50712i 0.130962 + 0.991387i \(0.458193\pi\)
−0.856751 + 0.515730i \(0.827521\pi\)
\(692\) −3.18110e8 + 3.98897e8i −0.959972 + 1.20377i
\(693\) −8.67071e7 1.97903e7i −0.260528 0.0594639i
\(694\) −5.32696e7 −0.159368
\(695\) 1.87971e8i 0.559934i
\(696\) −5.89070e7 1.34451e7i −0.174719 0.0398784i
\(697\) 3.15522e8 + 3.95653e8i 0.931820 + 1.16846i
\(698\) 1.52718e7 + 6.69100e7i 0.0449079 + 0.196755i
\(699\) 4.27751e7 + 5.36383e7i 0.125245 + 0.157052i
\(700\) 4.70961e7 + 9.77961e7i 0.137306 + 0.285120i
\(701\) −7.03310e7 + 3.08140e8i −0.204170 + 0.894529i 0.764194 + 0.644987i \(0.223137\pi\)
−0.968364 + 0.249542i \(0.919720\pi\)
\(702\) −3.06929e7 + 1.47809e7i −0.0887210 + 0.0427258i
\(703\) −5.58475e8 + 7.00305e8i −1.60745 + 2.01568i
\(704\) 3.48254e7 + 1.52580e8i 0.0998109 + 0.437300i
\(705\) −8.36551e6 3.66517e7i −0.0238740 0.104599i
\(706\) 1.25893e7 2.61420e7i 0.0357758 0.0742891i
\(707\) 2.45514e8 + 1.95791e8i 0.694734 + 0.554032i
\(708\) 1.02084e8 8.14093e7i 0.287646 0.229390i
\(709\) 2.64861e8 + 1.27550e8i 0.743154 + 0.357884i 0.766843 0.641835i \(-0.221827\pi\)
−0.0236885 + 0.999719i \(0.507541\pi\)
\(710\) 7.86497e6 1.63318e7i 0.0219747 0.0456308i
\(711\) −2.39300e8 3.00073e8i −0.665786 0.834869i
\(712\) 5.96940e7 7.48539e7i 0.165383 0.207384i
\(713\) −3.87823e8 1.86766e8i −1.06995 0.515262i
\(714\) 1.41758e7 3.23554e6i 0.0389452 0.00888899i
\(715\) −1.03898e8 + 2.37141e7i −0.284243 + 0.0648766i
\(716\) 3.66012e8 + 2.91885e8i 0.997140 + 0.795193i
\(717\) −4.43956e7 9.21884e7i −0.120443 0.250103i
\(718\) −1.05142e8 2.39980e7i −0.284055 0.0648337i
\(719\) −3.82905e8 + 1.84397e8i −1.03016 + 0.496098i −0.871066 0.491166i \(-0.836571\pi\)
−0.159092 + 0.987264i \(0.550857\pi\)
\(720\) 1.33298e8 1.06301e8i 0.357129 0.284801i
\(721\) 5.84257e7 1.33353e7i 0.155883 0.0355792i
\(722\) 5.77251e7 4.60343e7i 0.153375 0.122312i
\(723\) −2.81918e7 + 1.23516e8i −0.0745946 + 0.326820i
\(724\) 1.58114e8 0.416633
\(725\) 3.92797e8i 1.03075i
\(726\) −3.29262e6 + 1.44259e7i −0.00860463 + 0.0376993i
\(727\) 4.10357e8 + 3.27249e8i 1.06797 + 0.851678i 0.989398 0.145231i \(-0.0463925\pi\)
0.0785720 + 0.996908i \(0.474964\pi\)
\(728\) 5.90692e7 + 2.84462e7i 0.153097 + 0.0737277i
\(729\) −1.84811e8 + 8.90002e7i −0.477029 + 0.229725i
\(730\) 1.53630e7i 0.0394919i
\(731\) 3.65530e8 3.85817e8i 0.935773 0.987709i
\(732\) −1.27541e8 −0.325174
\(733\) 5.56585e7 + 1.15576e8i 0.141325 + 0.293465i 0.959603 0.281359i \(-0.0907851\pi\)
−0.818278 + 0.574823i \(0.805071\pi\)
\(734\) −4.05295e7 + 8.41603e7i −0.102490 + 0.212823i
\(735\) 3.11525e7 3.90640e7i 0.0784570 0.0983819i
\(736\) 3.22883e8 + 7.36959e7i 0.809863 + 0.184846i
\(737\) −1.44129e8 −0.360039
\(738\) 8.34396e7i 0.207589i
\(739\) −6.85959e8 1.56566e8i −1.69967 0.387939i −0.740787 0.671740i \(-0.765547\pi\)
−0.958883 + 0.283801i \(0.908405\pi\)
\(740\) 2.54825e8 + 3.19540e8i 0.628850 + 0.788553i
\(741\) −3.14944e7 1.37986e8i −0.0774068 0.339141i
\(742\) 229583. + 287888.i 0.000561989 + 0.000704712i
\(743\) −2.01109e8 4.17607e8i −0.490304 1.01813i −0.988522 0.151075i \(-0.951727\pi\)
0.498219 0.867051i \(-0.333988\pi\)
\(744\) −8.97523e6 + 3.93231e7i −0.0217935 + 0.0954835i
\(745\) −1.40979e8 + 6.78919e7i −0.340946 + 0.164191i
\(746\) −2.38424e7 + 2.98974e7i −0.0574293 + 0.0720140i
\(747\) 8.83847e7 + 3.87238e8i 0.212039 + 0.929002i
\(748\) 7.22193e7 + 3.16414e8i 0.172563 + 0.756050i
\(749\) 2.73581e7 5.68098e7i 0.0651090 0.135200i
\(750\) 1.88768e7 + 1.50538e7i 0.0447450 + 0.0356830i
\(751\) 2.57020e8 2.04966e8i 0.606801 0.483908i −0.271228 0.962515i \(-0.587430\pi\)
0.878029 + 0.478607i \(0.158858\pi\)
\(752\) −2.16924e8 1.04465e8i −0.510099 0.245651i
\(753\) 2.51337e7 5.21906e7i 0.0588669 0.122238i
\(754\) −7.23525e7 9.07272e7i −0.168787 0.211653i
\(755\) 1.02376e8 1.28375e8i 0.237879 0.298291i
\(756\) −1.01582e8 4.89193e7i −0.235099 0.113218i