Properties

Label 43.6.g.a.10.2
Level 43
Weight 6
Character 43.10
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 10.2
Character \(\chi\) \(=\) 43.10
Dual form 43.6.g.a.13.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.02425 - 8.86884i) q^{2} +(20.8925 + 19.3854i) q^{3} +(-45.7276 + 22.0213i) q^{4} +(-27.6125 + 4.16191i) q^{5} +(129.634 - 224.533i) q^{6} +(100.934 + 174.822i) q^{7} +(106.369 + 133.382i) q^{8} +(42.5431 + 567.698i) q^{9} +O(q^{10})\) \(q+(-2.02425 - 8.86884i) q^{2} +(20.8925 + 19.3854i) q^{3} +(-45.7276 + 22.0213i) q^{4} +(-27.6125 + 4.16191i) q^{5} +(129.634 - 224.533i) q^{6} +(100.934 + 174.822i) q^{7} +(106.369 + 133.382i) q^{8} +(42.5431 + 567.698i) q^{9} +(92.8059 + 236.466i) q^{10} +(404.499 + 194.797i) q^{11} +(-1382.26 - 426.369i) q^{12} +(254.898 - 649.470i) q^{13} +(1346.15 - 1249.05i) q^{14} +(-657.573 - 448.326i) q^{15} +(-44.9974 + 56.4249i) q^{16} +(-836.285 - 126.050i) q^{17} +(4948.70 - 1526.47i) q^{18} +(-3.05613 + 40.7812i) q^{19} +(1171.00 - 798.375i) q^{20} +(-1280.24 + 5609.10i) q^{21} +(908.810 - 3981.75i) q^{22} +(2372.17 - 1617.31i) q^{23} +(-363.359 + 4848.68i) q^{24} +(-2241.04 + 691.269i) q^{25} +(-6276.02 - 945.957i) q^{26} +(-5798.14 + 7270.64i) q^{27} +(-8465.25 - 5771.51i) q^{28} +(4373.12 - 4057.66i) q^{29} +(-2645.03 + 6739.43i) q^{30} +(-459.810 - 141.833i) q^{31} +(5510.14 + 2653.54i) q^{32} +(4674.79 + 11911.2i) q^{33} +(574.939 + 7672.03i) q^{34} +(-3514.62 - 4407.19i) q^{35} +(-14446.8 - 25022.6i) q^{36} +(-7173.71 + 12425.2i) q^{37} +(367.868 - 55.4472i) q^{38} +(17915.7 - 8627.74i) q^{39} +(-3492.22 - 3240.31i) q^{40} +(-1868.99 - 8188.59i) q^{41} +52337.8 q^{42} +(-534.703 - 12112.9i) q^{43} -22786.5 q^{44} +(-3537.43 - 15498.5i) q^{45} +(-19145.6 - 17764.5i) q^{46} +(1830.50 - 881.522i) q^{47} +(-2033.93 + 306.565i) q^{48} +(-11971.7 + 20735.5i) q^{49} +(10667.2 + 18476.1i) q^{50} +(-15028.6 - 18845.2i) q^{51} +(2646.26 + 35311.9i) q^{52} +(2498.37 + 6365.73i) q^{53} +(76219.0 + 36705.1i) q^{54} +(-11979.9 - 3695.32i) q^{55} +(-12582.0 + 32058.3i) q^{56} +(-854.410 + 792.776i) q^{57} +(-44839.0 - 30570.7i) q^{58} +(16290.8 - 20428.0i) q^{59} +(39942.0 + 6020.28i) q^{60} +(8105.05 - 2500.08i) q^{61} +(-327.118 + 4365.08i) q^{62} +(-94952.1 + 64737.3i) q^{63} +(11866.0 - 51988.4i) q^{64} +(-4335.33 + 18994.3i) q^{65} +(96175.2 - 65571.1i) q^{66} +(3013.11 - 40207.2i) q^{67} +(41017.1 - 12652.1i) q^{68} +(80912.7 + 12195.6i) q^{69} +(-31972.2 + 40091.8i) q^{70} +(-22395.9 - 15269.3i) q^{71} +(-71195.5 + 66059.8i) q^{72} +(8581.60 - 21865.6i) q^{73} +(124719. + 38470.6i) q^{74} +(-60221.4 - 29001.1i) q^{75} +(-758.304 - 1932.13i) q^{76} +(6772.81 + 90376.9i) q^{77} +(-112784. - 141427. i) q^{78} +(-26316.0 - 45580.6i) q^{79} +(1007.65 - 1745.31i) q^{80} +(-125289. + 18884.3i) q^{81} +(-68839.9 + 33151.6i) q^{82} +(54654.0 + 50711.5i) q^{83} +(-64977.2 - 284684. i) q^{84} +23616.5 q^{85} +(-106345. + 29261.8i) q^{86} +170025. q^{87} +(17043.7 + 74673.2i) q^{88} +(-30444.7 - 28248.6i) q^{89} +(-130293. + 62745.7i) q^{90} +(139269. - 20991.5i) q^{91} +(-72858.2 + 126194. i) q^{92} +(-6857.09 - 11876.8i) q^{93} +(-11523.5 - 14450.0i) q^{94} +(-85.3404 - 1138.79i) q^{95} +(63680.6 + 162255. i) q^{96} +(-100880. - 48581.3i) q^{97} +(208134. + 64200.7i) q^{98} +(-93377.0 + 237921. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.02425 8.86884i −0.357841 1.56780i −0.758560 0.651603i \(-0.774097\pi\)
0.400720 0.916201i \(-0.368760\pi\)
\(3\) 20.8925 + 19.3854i 1.34025 + 1.24357i 0.945837 + 0.324643i \(0.105244\pi\)
0.394417 + 0.918931i \(0.370946\pi\)
\(4\) −45.7276 + 22.0213i −1.42899 + 0.688165i
\(5\) −27.6125 + 4.16191i −0.493947 + 0.0744505i −0.391292 0.920267i \(-0.627972\pi\)
−0.102655 + 0.994717i \(0.532734\pi\)
\(6\) 129.634 224.533i 1.47008 2.54626i
\(7\) 100.934 + 174.822i 0.778557 + 1.34850i 0.932773 + 0.360463i \(0.117381\pi\)
−0.154217 + 0.988037i \(0.549285\pi\)
\(8\) 106.369 + 133.382i 0.587610 + 0.736839i
\(9\) 42.5431 + 567.698i 0.175074 + 2.33621i
\(10\) 92.8059 + 236.466i 0.293478 + 0.747770i
\(11\) 404.499 + 194.797i 1.00794 + 0.485400i 0.863627 0.504132i \(-0.168187\pi\)
0.144316 + 0.989532i \(0.453902\pi\)
\(12\) −1382.26 426.369i −2.77099 0.854738i
\(13\) 254.898 649.470i 0.418319 1.06586i −0.554065 0.832474i \(-0.686924\pi\)
0.972384 0.233387i \(-0.0749808\pi\)
\(14\) 1346.15 1249.05i 1.83558 1.70317i
\(15\) −657.573 448.326i −0.754599 0.514477i
\(16\) −44.9974 + 56.4249i −0.0439427 + 0.0551025i
\(17\) −836.285 126.050i −0.701830 0.105784i −0.211574 0.977362i \(-0.567859\pi\)
−0.490257 + 0.871578i \(0.663097\pi\)
\(18\) 4948.70 1526.47i 3.60006 1.11047i
\(19\) −3.05613 + 40.7812i −0.00194217 + 0.0259165i −0.998091 0.0617655i \(-0.980327\pi\)
0.996149 + 0.0876820i \(0.0279459\pi\)
\(20\) 1171.00 798.375i 0.654610 0.446305i
\(21\) −1280.24 + 5609.10i −0.633496 + 2.77553i
\(22\) 908.810 3981.75i 0.400328 1.75395i
\(23\) 2372.17 1617.31i 0.935030 0.637492i 0.00304696 0.999995i \(-0.499030\pi\)
0.931983 + 0.362503i \(0.118078\pi\)
\(24\) −363.359 + 4848.68i −0.128768 + 1.71829i
\(25\) −2241.04 + 691.269i −0.717132 + 0.221206i
\(26\) −6276.02 945.957i −1.82075 0.274434i
\(27\) −5798.14 + 7270.64i −1.53066 + 1.91939i
\(28\) −8465.25 5771.51i −2.04054 1.39122i
\(29\) 4373.12 4057.66i 0.965597 0.895943i −0.0290182 0.999579i \(-0.509238\pi\)
0.994615 + 0.103636i \(0.0330476\pi\)
\(30\) −2645.03 + 6739.43i −0.536572 + 1.36716i
\(31\) −459.810 141.833i −0.0859358 0.0265077i 0.251489 0.967860i \(-0.419080\pi\)
−0.337425 + 0.941352i \(0.609556\pi\)
\(32\) 5510.14 + 2653.54i 0.951235 + 0.458090i
\(33\) 4674.79 + 11911.2i 0.747269 + 1.90401i
\(34\) 574.939 + 7672.03i 0.0852952 + 1.13819i
\(35\) −3514.62 4407.19i −0.484962 0.608123i
\(36\) −14446.8 25022.6i −1.85787 3.21793i
\(37\) −7173.71 + 12425.2i −0.861469 + 1.49211i 0.00904296 + 0.999959i \(0.497121\pi\)
−0.870511 + 0.492148i \(0.836212\pi\)
\(38\) 367.868 55.4472i 0.0413269 0.00622903i
\(39\) 17915.7 8627.74i 1.88613 0.908313i
\(40\) −3492.22 3240.31i −0.345106 0.320211i
\(41\) −1868.99 8188.59i −0.173639 0.760763i −0.984480 0.175496i \(-0.943847\pi\)
0.810841 0.585267i \(-0.199010\pi\)
\(42\) 52337.8 4.57817
\(43\) −534.703 12112.9i −0.0441003 0.999027i
\(44\) −22786.5 −1.77437
\(45\) −3537.43 15498.5i −0.260409 1.14093i
\(46\) −19145.6 17764.5i −1.33405 1.23782i
\(47\) 1830.50 881.522i 0.120872 0.0582088i −0.372471 0.928044i \(-0.621489\pi\)
0.493342 + 0.869835i \(0.335775\pi\)
\(48\) −2033.93 + 306.565i −0.127418 + 0.0192052i
\(49\) −11971.7 + 20735.5i −0.712302 + 1.23374i
\(50\) 10667.2 + 18476.1i 0.603427 + 1.04517i
\(51\) −15028.6 18845.2i −0.809081 1.01456i
\(52\) 2646.26 + 35311.9i 0.135714 + 1.81098i
\(53\) 2498.37 + 6365.73i 0.122170 + 0.311285i 0.978855 0.204555i \(-0.0655749\pi\)
−0.856685 + 0.515841i \(0.827480\pi\)
\(54\) 76219.0 + 36705.1i 3.55696 + 1.71294i
\(55\) −11979.9 3695.32i −0.534008 0.164720i
\(56\) −12582.0 + 32058.3i −0.536140 + 1.36606i
\(57\) −854.410 + 792.776i −0.0348321 + 0.0323194i
\(58\) −44839.0 30570.7i −1.75019 1.19326i
\(59\) 16290.8 20428.0i 0.609273 0.764004i −0.377518 0.926002i \(-0.623222\pi\)
0.986791 + 0.161998i \(0.0517938\pi\)
\(60\) 39942.0 + 6020.28i 1.43236 + 0.215893i
\(61\) 8105.05 2500.08i 0.278889 0.0860258i −0.152155 0.988357i \(-0.548621\pi\)
0.431044 + 0.902331i \(0.358145\pi\)
\(62\) −327.118 + 4365.08i −0.0108075 + 0.144216i
\(63\) −94952.1 + 64737.3i −3.01407 + 2.05496i
\(64\) 11866.0 51988.4i 0.362122 1.58656i
\(65\) −4335.33 + 18994.3i −0.127274 + 0.557622i
\(66\) 96175.2 65571.1i 2.71771 1.85290i
\(67\) 3013.11 40207.2i 0.0820028 1.09425i −0.792707 0.609603i \(-0.791329\pi\)
0.874709 0.484648i \(-0.161052\pi\)
\(68\) 41017.1 12652.1i 1.07570 0.331811i
\(69\) 80912.7 + 12195.6i 2.04595 + 0.308377i
\(70\) −31972.2 + 40091.8i −0.779878 + 0.977936i
\(71\) −22395.9 15269.3i −0.527257 0.359478i 0.270247 0.962791i \(-0.412895\pi\)
−0.797504 + 0.603313i \(0.793847\pi\)
\(72\) −71195.5 + 66059.8i −1.61853 + 1.50178i
\(73\) 8581.60 21865.6i 0.188478 0.480235i −0.805133 0.593095i \(-0.797906\pi\)
0.993611 + 0.112860i \(0.0360012\pi\)
\(74\) 124719. + 38470.6i 2.64760 + 0.816676i
\(75\) −60221.4 29001.1i −1.23623 0.595335i
\(76\) −758.304 1932.13i −0.0150595 0.0383709i
\(77\) 6772.81 + 90376.9i 0.130179 + 1.73712i
\(78\) −112784. 141427.i −2.09899 2.63205i
\(79\) −26316.0 45580.6i −0.474408 0.821699i 0.525163 0.851002i \(-0.324005\pi\)
−0.999571 + 0.0293031i \(0.990671\pi\)
\(80\) 1007.65 1745.31i 0.0176030 0.0304892i
\(81\) −125289. + 18884.3i −2.12179 + 0.319808i
\(82\) −68839.9 + 33151.6i −1.13059 + 0.544464i
\(83\) 54654.0 + 50711.5i 0.870817 + 0.808000i 0.982600 0.185732i \(-0.0594657\pi\)
−0.111783 + 0.993733i \(0.535656\pi\)
\(84\) −64977.2 284684.i −1.00476 4.40214i
\(85\) 23616.5 0.354542
\(86\) −106345. + 29261.8i −1.55050 + 0.426633i
\(87\) 170025. 2.40832
\(88\) 17043.7 + 74673.2i 0.234615 + 1.02792i
\(89\) −30444.7 28248.6i −0.407415 0.378026i 0.449675 0.893192i \(-0.351540\pi\)
−0.857090 + 0.515166i \(0.827730\pi\)
\(90\) −130293. + 62745.7i −1.69556 + 0.816540i
\(91\) 139269. 20991.5i 1.76300 0.265729i
\(92\) −72858.2 + 126194.i −0.897447 + 1.55442i
\(93\) −6857.09 11876.8i −0.0822115 0.142395i
\(94\) −11523.5 14450.0i −0.134513 0.168674i
\(95\) −85.3404 1138.79i −0.000970165 0.0129459i
\(96\) 63680.6 + 162255.i 0.705227 + 1.79689i
\(97\) −100880. 48581.3i −1.08862 0.524252i −0.198557 0.980089i \(-0.563626\pi\)
−0.890063 + 0.455837i \(0.849340\pi\)
\(98\) 208134. + 64200.7i 2.18916 + 0.675266i
\(99\) −93377.0 + 237921.i −0.957529 + 2.43974i
\(100\) 87254.8 80960.6i 0.872548 0.809606i
\(101\) 11495.1 + 7837.21i 0.112127 + 0.0764466i 0.618085 0.786111i \(-0.287909\pi\)
−0.505958 + 0.862558i \(0.668861\pi\)
\(102\) −136714. + 171433.i −1.30110 + 1.63153i
\(103\) 95740.6 + 14430.6i 0.889208 + 0.134027i 0.577731 0.816227i \(-0.303938\pi\)
0.311477 + 0.950254i \(0.399176\pi\)
\(104\) 113741. 35084.4i 1.03118 0.318076i
\(105\) 12006.0 160209.i 0.106274 1.41813i
\(106\) 51399.3 35043.4i 0.444317 0.302930i
\(107\) 49732.2 217891.i 0.419931 1.83984i −0.112884 0.993608i \(-0.536009\pi\)
0.532816 0.846231i \(-0.321134\pi\)
\(108\) 105027. 460151.i 0.866443 3.79613i
\(109\) 84517.1 57622.8i 0.681362 0.464545i −0.172523 0.985005i \(-0.555192\pi\)
0.853886 + 0.520460i \(0.174240\pi\)
\(110\) −8522.76 + 113728.i −0.0671582 + 0.896163i
\(111\) −390745. + 120529.i −3.01013 + 0.928503i
\(112\) −14406.1 2171.36i −0.108518 0.0163564i
\(113\) −79289.0 + 99425.2i −0.584139 + 0.732488i −0.982813 0.184605i \(-0.940899\pi\)
0.398673 + 0.917093i \(0.369471\pi\)
\(114\) 8760.55 + 5972.84i 0.0631348 + 0.0430446i
\(115\) −58770.2 + 54530.8i −0.414393 + 0.384501i
\(116\) −110617. + 281849.i −0.763271 + 1.94478i
\(117\) 379547. + 117075.i 2.56331 + 0.790676i
\(118\) −214149. 103129.i −1.41583 0.681829i
\(119\) −62373.0 158924.i −0.403765 1.02878i
\(120\) −10146.6 135396.i −0.0643229 0.858329i
\(121\) 25260.3 + 31675.4i 0.156846 + 0.196679i
\(122\) −38579.5 66821.6i −0.234669 0.406459i
\(123\) 119691. 207311.i 0.713344 1.23555i
\(124\) 24149.4 3639.93i 0.141043 0.0212588i
\(125\) 137625. 66276.9i 0.787813 0.379391i
\(126\) 766351. + 711070.i 4.30033 + 3.99012i
\(127\) 78224.3 + 342723.i 0.430361 + 1.88553i 0.463525 + 0.886084i \(0.346584\pi\)
−0.0331646 + 0.999450i \(0.510559\pi\)
\(128\) −289391. −1.56121
\(129\) 223642. 263434.i 1.18326 1.39379i
\(130\) 177233. 0.919786
\(131\) 12778.5 + 55986.5i 0.0650584 + 0.285039i 0.996984 0.0776108i \(-0.0247292\pi\)
−0.931925 + 0.362650i \(0.881872\pi\)
\(132\) −476066. 441725.i −2.37811 2.20657i
\(133\) −7437.91 + 3581.91i −0.0364605 + 0.0175584i
\(134\) −362690. + 54666.8i −1.74491 + 0.263003i
\(135\) 129841. 224891.i 0.613166 1.06203i
\(136\) −72141.8 124953.i −0.334457 0.579296i
\(137\) −15199.3 19059.3i −0.0691865 0.0867571i 0.746034 0.665908i \(-0.231956\pi\)
−0.815220 + 0.579151i \(0.803384\pi\)
\(138\) −55626.9 742289.i −0.248649 3.31799i
\(139\) 156870. + 399698.i 0.688657 + 1.75467i 0.655472 + 0.755219i \(0.272470\pi\)
0.0331843 + 0.999449i \(0.489435\pi\)
\(140\) 257767. + 124134.i 1.11149 + 0.535267i
\(141\) 55332.4 + 17067.8i 0.234386 + 0.0722985i
\(142\) −90085.6 + 229534.i −0.374916 + 0.955271i
\(143\) 229620. 213057.i 0.939011 0.871275i
\(144\) −33946.6 23144.4i −0.136424 0.0930123i
\(145\) −103865. + 130242.i −0.410250 + 0.514437i
\(146\) −211293. 31847.4i −0.820359 0.123649i
\(147\) −652084. + 201141.i −2.48892 + 0.767729i
\(148\) 54417.5 726150.i 0.204213 2.72504i
\(149\) −87388.5 + 59580.5i −0.322469 + 0.219856i −0.713725 0.700426i \(-0.752993\pi\)
0.391255 + 0.920282i \(0.372041\pi\)
\(150\) −135303. + 592799.i −0.490996 + 2.15119i
\(151\) −30207.2 + 132347.i −0.107812 + 0.472357i 0.891982 + 0.452071i \(0.149315\pi\)
−0.999794 + 0.0202856i \(0.993542\pi\)
\(152\) −5764.56 + 3930.21i −0.0202375 + 0.0137977i
\(153\) 35980.0 480120.i 0.124260 1.65814i
\(154\) 787828. 243013.i 2.67688 0.825709i
\(155\) 13286.8 + 2002.66i 0.0444212 + 0.00669542i
\(156\) −629248. + 789052.i −2.07019 + 2.59594i
\(157\) −264354. 180233.i −0.855926 0.583560i 0.0539020 0.998546i \(-0.482834\pi\)
−0.909828 + 0.414986i \(0.863787\pi\)
\(158\) −350977. + 325659.i −1.11850 + 1.03782i
\(159\) −71205.2 + 181428.i −0.223367 + 0.569129i
\(160\) −163192. 50338.2i −0.503964 0.155452i
\(161\) 522173. + 251465.i 1.58763 + 0.764563i
\(162\) 421100. + 1.07294e6i 1.26066 + 3.21211i
\(163\) 2697.03 + 35989.4i 0.00795092 + 0.106098i 0.999767 0.0215755i \(-0.00686821\pi\)
−0.991816 + 0.127673i \(0.959249\pi\)
\(164\) 265788. + 333287.i 0.771659 + 0.967629i
\(165\) −178656. 309440.i −0.510865 0.884845i
\(166\) 339119. 587371.i 0.955172 1.65441i
\(167\) −284207. + 42837.3i −0.788576 + 0.118859i −0.530969 0.847391i \(-0.678172\pi\)
−0.257607 + 0.966250i \(0.582934\pi\)
\(168\) −884332. + 425872.i −2.41736 + 1.16414i
\(169\) −84660.6 78553.6i −0.228016 0.211568i
\(170\) −47805.8 209451.i −0.126870 0.555853i
\(171\) −23281.4 −0.0608862
\(172\) 291192. + 542120.i 0.750514 + 1.39725i
\(173\) −88379.3 −0.224510 −0.112255 0.993679i \(-0.535807\pi\)
−0.112255 + 0.993679i \(0.535807\pi\)
\(174\) −344173. 1.50792e6i −0.861794 3.77577i
\(175\) −347045. 322011.i −0.856625 0.794832i
\(176\) −29192.8 + 14058.5i −0.0710385 + 0.0342103i
\(177\) 736360. 110988.i 1.76668 0.266284i
\(178\) −188904. + 327192.i −0.446881 + 0.774020i
\(179\) 136469. + 236371.i 0.318347 + 0.551394i 0.980143 0.198290i \(-0.0635388\pi\)
−0.661796 + 0.749684i \(0.730205\pi\)
\(180\) 503054. + 630810.i 1.15727 + 1.45117i
\(181\) −12383.8 165251.i −0.0280969 0.374927i −0.993473 0.114066i \(-0.963613\pi\)
0.965376 0.260861i \(-0.0840065\pi\)
\(182\) −468086. 1.19266e6i −1.04748 2.66895i
\(183\) 217800. + 104887.i 0.480761 + 0.231523i
\(184\) 468045. + 144373.i 1.01916 + 0.314370i
\(185\) 146371. 372947.i 0.314431 0.801158i
\(186\) −91453.2 + 84856.2i −0.193828 + 0.179846i
\(187\) −313723. 213893.i −0.656058 0.447292i
\(188\) −64292.2 + 80619.8i −0.132667 + 0.166359i
\(189\) −1.85629e6 279791.i −3.78000 0.569744i
\(190\) −9926.97 + 3062.07i −0.0199495 + 0.00615362i
\(191\) −28933.3 + 386088.i −0.0573871 + 0.765777i 0.892073 + 0.451891i \(0.149250\pi\)
−0.949460 + 0.313887i \(0.898369\pi\)
\(192\) 1.25573e6 856140.i 2.45834 1.67607i
\(193\) 60269.5 264058.i 0.116467 0.510277i −0.882717 0.469904i \(-0.844288\pi\)
0.999185 0.0403726i \(-0.0128545\pi\)
\(194\) −226653. + 993031.i −0.432371 + 1.89434i
\(195\) −458788. + 312796.i −0.864024 + 0.589081i
\(196\) 90813.2 1.21182e6i 0.168853 2.25319i
\(197\) 167080. 51537.3i 0.306731 0.0946141i −0.137568 0.990492i \(-0.543929\pi\)
0.444300 + 0.895878i \(0.353453\pi\)
\(198\) 2.29910e6 + 346533.i 4.16768 + 0.628177i
\(199\) −156098. + 195741.i −0.279425 + 0.350387i −0.901662 0.432441i \(-0.857652\pi\)
0.622238 + 0.782828i \(0.286224\pi\)
\(200\) −330579. 225385.i −0.584387 0.398428i
\(201\) 842384. 781618.i 1.47069 1.36460i
\(202\) 46238.0 117812.i 0.0797298 0.203148i
\(203\) 1.15076e6 + 354963.i 1.95995 + 0.604565i
\(204\) 1.10222e6 + 530799.i 1.85435 + 0.893007i
\(205\) 85687.6 + 218328.i 0.142408 + 0.362849i
\(206\) −65820.9 878319.i −0.108068 1.44206i
\(207\) 1.01907e6 + 1.27787e6i 1.65301 + 2.07281i
\(208\) 25176.5 + 43607.0i 0.0403494 + 0.0698873i
\(209\) −9180.24 + 15900.6i −0.0145374 + 0.0251796i
\(210\) −1.44517e6 + 217825.i −2.26137 + 0.340847i
\(211\) 72335.7 34835.0i 0.111853 0.0538654i −0.377121 0.926164i \(-0.623086\pi\)
0.488973 + 0.872299i \(0.337372\pi\)
\(212\) −254426. 236073.i −0.388796 0.360750i
\(213\) −171905. 753166.i −0.259621 1.13747i
\(214\) −2.03311e6 −3.03478
\(215\) 65177.3 + 332242.i 0.0961612 + 0.490183i
\(216\) −1.58651e6 −2.31371
\(217\) −21614.8 94700.6i −0.0311603 0.136522i
\(218\) −682131. 632925.i −0.972134 0.902009i
\(219\) 603164. 290468.i 0.849816 0.409250i
\(220\) 629190. 94835.1i 0.876446 0.132103i
\(221\) −295033. + 511012.i −0.406340 + 0.703802i
\(222\) 1.85992e6 + 3.22147e6i 2.53286 + 4.38704i
\(223\) 660699. + 828490.i 0.889696 + 1.11564i 0.992658 + 0.120958i \(0.0385965\pi\)
−0.102962 + 0.994685i \(0.532832\pi\)
\(224\) 92260.1 + 1.23113e6i 0.122855 + 1.63939i
\(225\) −487773. 1.24282e6i −0.642335 1.63664i
\(226\) 1.04229e6 + 501939.i 1.35743 + 0.653702i
\(227\) −951026. 293353.i −1.22498 0.377855i −0.386243 0.922397i \(-0.626227\pi\)
−0.838734 + 0.544542i \(0.816704\pi\)
\(228\) 21612.2 55067.0i 0.0275335 0.0701543i
\(229\) −594078. + 551224.i −0.748608 + 0.694607i −0.959125 0.282983i \(-0.908676\pi\)
0.210516 + 0.977590i \(0.432485\pi\)
\(230\) 602590. + 410839.i 0.751108 + 0.512097i
\(231\) −1.61049e6 + 2.01949e6i −1.98577 + 2.49007i
\(232\) 1.00638e6 + 151688.i 1.22756 + 0.185025i
\(233\) 30080.8 9278.71i 0.0362995 0.0111969i −0.276552 0.960999i \(-0.589192\pi\)
0.312852 + 0.949802i \(0.398716\pi\)
\(234\) 270017. 3.60313e6i 0.322368 4.30170i
\(235\) −46875.8 + 31959.4i −0.0553705 + 0.0377510i
\(236\) −295089. + 1.29287e6i −0.344884 + 1.51103i
\(237\) 333792. 1.46244e6i 0.386016 1.69125i
\(238\) −1.28321e6 + 874878.i −1.46844 + 1.00116i
\(239\) 26617.4 355185.i 0.0301419 0.402216i −0.961643 0.274303i \(-0.911553\pi\)
0.991785 0.127913i \(-0.0408279\pi\)
\(240\) 54885.8 16930.0i 0.0615081 0.0189727i
\(241\) −684957. 103241.i −0.759662 0.114501i −0.242223 0.970221i \(-0.577877\pi\)
−0.517439 + 0.855720i \(0.673115\pi\)
\(242\) 229790. 288148.i 0.252228 0.316284i
\(243\) −1.11657e6 761267.i −1.21303 0.827031i
\(244\) −315570. + 292806.i −0.339329 + 0.314851i
\(245\) 244268. 622383.i 0.259986 0.662434i
\(246\) −2.08089e6 641871.i −2.19236 0.676254i
\(247\) 25707.1 + 12379.9i 0.0268109 + 0.0129114i
\(248\) −29991.5 76417.0i −0.0309648 0.0788970i
\(249\) 158796. + 2.11898e6i 0.162308 + 2.16585i
\(250\) −866387. 1.08642e6i −0.876722 1.09938i
\(251\) −257460. 445933.i −0.257944 0.446772i 0.707747 0.706466i \(-0.249712\pi\)
−0.965691 + 0.259694i \(0.916378\pi\)
\(252\) 2.91634e6 5.05125e6i 2.89292 5.01069i
\(253\) 1.27459e6 192113.i 1.25190 0.188693i
\(254\) 2.88121e6 1.38752e6i 2.80215 1.34944i
\(255\) 493408. + 457815.i 0.475177 + 0.440900i
\(256\) 206089. + 902934.i 0.196541 + 0.861105i
\(257\) −919417. −0.868319 −0.434160 0.900836i \(-0.642955\pi\)
−0.434160 + 0.900836i \(0.642955\pi\)
\(258\) −2.78906e6 1.45019e6i −2.60861 1.35636i
\(259\) −2.89627e6 −2.68281
\(260\) −220035. 964034.i −0.201863 0.884421i
\(261\) 2.48957e6 + 2.30998e6i 2.26216 + 2.09898i
\(262\) 470668. 226662.i 0.423605 0.203997i
\(263\) 1.31978e6 198926.i 1.17656 0.177338i 0.468482 0.883473i \(-0.344801\pi\)
0.708077 + 0.706135i \(0.249563\pi\)
\(264\) −1.09149e6 + 1.89051e6i −0.963847 + 1.66943i
\(265\) −95479.6 165375.i −0.0835210 0.144663i
\(266\) 46823.6 + 58714.9i 0.0405752 + 0.0508797i
\(267\) −88456.3 1.18037e6i −0.0759365 1.01330i
\(268\) 747631. + 1.90493e6i 0.635844 + 1.62010i
\(269\) 624827. + 300901.i 0.526476 + 0.253538i 0.678190 0.734887i \(-0.262765\pi\)
−0.151713 + 0.988425i \(0.548479\pi\)
\(270\) −2.25736e6 696302.i −1.88448 0.581284i
\(271\) −481137. + 1.22592e6i −0.397965 + 1.01400i 0.581707 + 0.813398i \(0.302385\pi\)
−0.979673 + 0.200601i \(0.935710\pi\)
\(272\) 44743.0 41515.4i 0.0366693 0.0340241i
\(273\) 3.31661e6 + 2.26123e6i 2.69332 + 1.83627i
\(274\) −138266. + 173381.i −0.111260 + 0.139516i
\(275\) −1.04116e6 156929.i −0.830202 0.125133i
\(276\) −3.96851e6 + 1.22412e6i −3.13585 + 0.967281i
\(277\) −125794. + 1.67860e6i −0.0985053 + 1.31446i 0.700723 + 0.713434i \(0.252861\pi\)
−0.799228 + 0.601028i \(0.794758\pi\)
\(278\) 3.22731e6 2.20034e6i 2.50455 1.70757i
\(279\) 60956.4 267067.i 0.0468823 0.205405i
\(280\) 213995. 937574.i 0.163121 0.714678i
\(281\) 11467.0 7818.04i 0.00866328 0.00590653i −0.558981 0.829181i \(-0.688807\pi\)
0.567644 + 0.823274i \(0.307855\pi\)
\(282\) 39364.5 525283.i 0.0294769 0.393342i
\(283\) −1.94655e6 + 600432.i −1.44477 + 0.445654i −0.915335 0.402693i \(-0.868074\pi\)
−0.529440 + 0.848347i \(0.677598\pi\)
\(284\) 1.36036e6 + 205041.i 1.00082 + 0.150850i
\(285\) 20292.9 25446.5i 0.0147990 0.0185573i
\(286\) −2.35437e6 1.60519e6i −1.70200 1.16041i
\(287\) 1.24290e6 1.15324e6i 0.890701 0.826450i
\(288\) −1.27199e6 + 3.24099e6i −0.903657 + 2.30248i
\(289\) −673292. 207683.i −0.474197 0.146270i
\(290\) 1.36535e6 + 657517.i 0.953341 + 0.459105i
\(291\) −1.16587e6 2.97059e6i −0.807082 2.05641i
\(292\) 89091.1 + 1.18884e6i 0.0611473 + 0.815954i
\(293\) −949083. 1.19011e6i −0.645855 0.809877i 0.345866 0.938284i \(-0.387585\pi\)
−0.991722 + 0.128407i \(0.959014\pi\)
\(294\) 3.10387e6 + 5.37607e6i 2.09428 + 3.62741i
\(295\) −364809. + 631868.i −0.244068 + 0.422738i
\(296\) −2.42036e6 + 364811.i −1.60565 + 0.242013i
\(297\) −3.76164e6 + 1.81151e6i −2.47449 + 1.19165i
\(298\) 705306. + 654428.i 0.460084 + 0.426895i
\(299\) −445737. 1.95290e6i −0.288337 1.26329i
\(300\) 3.39242e6 2.17624
\(301\) 2.06363e6 1.31608e6i 1.31285 0.837269i
\(302\) 1.23491e6 0.779142
\(303\) 88233.3 + 386576.i 0.0552111 + 0.241896i
\(304\) −2163.56 2007.49i −0.00134272 0.00124586i
\(305\) −213395. + 102766.i −0.131352 + 0.0632556i
\(306\) −4.33094e6 + 652784.i −2.64410 + 0.398535i
\(307\) 897616. 1.55472e6i 0.543557 0.941468i −0.455140 0.890420i \(-0.650411\pi\)
0.998696 0.0510477i \(-0.0162561\pi\)
\(308\) −2.29992e6 3.98357e6i −1.38145 2.39274i
\(309\) 1.72052e6 + 2.15746e6i 1.02509 + 1.28543i
\(310\) −9134.55 121892.i −0.00539862 0.0720396i
\(311\) −58331.1 148625.i −0.0341979 0.0871348i 0.912755 0.408508i \(-0.133951\pi\)
−0.946953 + 0.321373i \(0.895856\pi\)
\(312\) 3.05645e6 + 1.47191e6i 1.77759 + 0.856042i
\(313\) −44797.8 13818.3i −0.0258462 0.00797249i 0.281805 0.959472i \(-0.409067\pi\)
−0.307651 + 0.951499i \(0.599543\pi\)
\(314\) −1.06334e6 + 2.70935e6i −0.608623 + 1.55075i
\(315\) 2.35243e6 2.18274e6i 1.33580 1.23944i
\(316\) 2.20711e6 + 1.50478e6i 1.24339 + 0.847727i
\(317\) −270096. + 338690.i −0.150963 + 0.189301i −0.851562 0.524253i \(-0.824345\pi\)
0.700600 + 0.713555i \(0.252916\pi\)
\(318\) 1.75319e6 + 264251.i 0.972213 + 0.146537i
\(319\) 2.55934e6 789452.i 1.40816 0.434359i
\(320\) −111279. + 1.48491e6i −0.0607488 + 0.810636i
\(321\) 5.26293e6 3.58821e6i 2.85079 1.94364i
\(322\) 1.17319e6 5.14010e6i 0.630565 2.76269i
\(323\) 7696.25 33719.5i 0.00410462 0.0179835i
\(324\) 5.31333e6 3.62257e6i 2.81193 1.91714i
\(325\) −122278. + 1.63169e6i −0.0642156 + 0.856898i
\(326\) 313725. 96771.3i 0.163495 0.0504316i
\(327\) 2.88281e6 + 434514.i 1.49089 + 0.224716i
\(328\) 893409. 1.12030e6i 0.458528 0.574976i
\(329\) 338868. + 231036.i 0.172600 + 0.117677i
\(330\) −2.38273e6 + 2.21085e6i −1.20445 + 1.11757i
\(331\) 160959. 410117.i 0.0807505 0.205749i −0.884796 0.465978i \(-0.845703\pi\)
0.965547 + 0.260229i \(0.0837979\pi\)
\(332\) −3.61593e6 1.11537e6i −1.80043 0.555358i
\(333\) −7.35897e6 3.54389e6i −3.63669 1.75134i
\(334\) 955225. + 2.43387e6i 0.468532 + 1.19380i
\(335\) 84139.2 + 1.12276e6i 0.0409625 + 0.546607i
\(336\) −258886. 324632.i −0.125101 0.156871i
\(337\) −543348. 941106.i −0.260617 0.451403i 0.705789 0.708422i \(-0.250593\pi\)
−0.966406 + 0.257020i \(0.917259\pi\)
\(338\) −525304. + 909854.i −0.250103 + 0.433191i
\(339\) −3.58394e6 + 540192.i −1.69380 + 0.255299i
\(340\) −1.07993e6 + 520065.i −0.506637 + 0.243984i
\(341\) −158364. 146941.i −0.0737516 0.0684315i
\(342\) 47127.5 + 206479.i 0.0217876 + 0.0954577i
\(343\) −1.44059e6 −0.661156
\(344\) 1.55877e6 1.35975e6i 0.710208 0.619533i
\(345\) −2.28496e6 −1.03355
\(346\) 178902. + 783821.i 0.0803388 + 0.351987i
\(347\) −1.44371e6 1.33957e6i −0.643661 0.597230i 0.289287 0.957243i \(-0.406582\pi\)
−0.932947 + 0.360013i \(0.882772\pi\)
\(348\) −7.77482e6 + 3.74416e6i −3.44146 + 1.65732i
\(349\) 1.83814e6 277056.i 0.807823 0.121760i 0.267870 0.963455i \(-0.413680\pi\)
0.539953 + 0.841695i \(0.318442\pi\)
\(350\) −2.15335e6 + 3.72972e6i −0.939605 + 1.62744i
\(351\) 3.24412e6 + 5.61899e6i 1.40550 + 2.43439i
\(352\) 1.71195e6 + 2.14671e6i 0.736433 + 0.923458i
\(353\) −279532. 3.73009e6i −0.119397 1.59325i −0.659538 0.751671i \(-0.729248\pi\)
0.540141 0.841574i \(-0.318371\pi\)
\(354\) −2.47492e6 6.30599e6i −1.04967 2.67451i
\(355\) 681954. + 328412.i 0.287200 + 0.138308i
\(356\) 2.01424e6 + 621310.i 0.842336 + 0.259826i
\(357\) 1.77767e6 4.52944e6i 0.738213 1.88094i
\(358\) 1.82009e6 1.68880e6i 0.750559 0.696417i
\(359\) −3.60710e6 2.45928e6i −1.47714 1.00710i −0.991094 0.133167i \(-0.957485\pi\)
−0.486049 0.873931i \(-0.661562\pi\)
\(360\) 1.69095e6 2.12038e6i 0.687660 0.862299i
\(361\) 2.44679e6 + 368794.i 0.988163 + 0.148942i
\(362\) −1.44051e6 + 444339.i −0.577758 + 0.178215i
\(363\) −86289.8 + 1.15146e6i −0.0343711 + 0.458650i
\(364\) −5.90620e6 + 4.02678e6i −2.33644 + 1.59296i
\(365\) −145957. + 639478.i −0.0573445 + 0.251243i
\(366\) 489342. 2.14395e6i 0.190946 0.836588i
\(367\) 381629. 260190.i 0.147903 0.100838i −0.487108 0.873342i \(-0.661948\pi\)
0.635011 + 0.772504i \(0.280996\pi\)
\(368\) −15484.3 + 206624.i −0.00596037 + 0.0795356i
\(369\) 4.56913e6 1.40939e6i 1.74690 0.538847i
\(370\) −3.60390e6 543201.i −1.36857 0.206279i
\(371\) −860701. + 1.07928e6i −0.324652 + 0.407100i
\(372\) 575102. + 392098.i 0.215470 + 0.146905i
\(373\) −1.53698e6 + 1.42611e6i −0.572000 + 0.530738i −0.912270 0.409589i \(-0.865672\pi\)
0.340270 + 0.940328i \(0.389482\pi\)
\(374\) −1.26192e6 + 3.21533e6i −0.466502 + 1.18863i
\(375\) 4.16014e6 + 1.28323e6i 1.52767 + 0.471224i
\(376\) 312287. + 150390.i 0.113916 + 0.0548590i
\(377\) −1.52063e6 3.87449e6i −0.551022 1.40398i
\(378\) 1.27619e6 + 1.70295e7i 0.459394 + 6.13018i
\(379\) 113257. + 142020.i 0.0405011 + 0.0507868i 0.801670 0.597767i \(-0.203945\pi\)
−0.761168 + 0.648554i \(0.775374\pi\)
\(380\) 28980.0 + 50194.8i 0.0102953 + 0.0178320i
\(381\) −5.00953e6 + 8.67675e6i −1.76801 + 3.06228i
\(382\) 3.48272e6 524935.i 1.22112 0.184055i
\(383\) 4.74268e6 2.28396e6i 1.65207 0.795593i 0.652790 0.757539i \(-0.273599\pi\)
0.999276 0.0380535i \(-0.0121157\pi\)
\(384\) −6.04610e6 5.60997e6i −2.09241 1.94148i
\(385\) −563154. 2.46734e6i −0.193631 0.848354i
\(386\) −2.46389e6 −0.841691
\(387\) 6.85373e6 818870.i 2.32621 0.277931i
\(388\) 5.68283e6 1.91640
\(389\) 654280. + 2.86659e6i 0.219225 + 0.960487i 0.958053 + 0.286593i \(0.0925226\pi\)
−0.738828 + 0.673894i \(0.764620\pi\)
\(390\) 3.70284e6 + 3.43574e6i 1.23275 + 1.14382i
\(391\) −2.18767e6 + 1.05353e6i −0.723669 + 0.348500i
\(392\) −4.03916e6 + 608805.i −1.32763 + 0.200107i
\(393\) −818344. + 1.41741e6i −0.267273 + 0.462930i
\(394\) −795287. 1.37748e6i −0.258097 0.447038i
\(395\) 916352. + 1.14907e6i 0.295508 + 0.370555i
\(396\) −969407. 1.29358e7i −0.310648 4.14530i
\(397\) −973511. 2.48047e6i −0.310002 0.789872i −0.997943 0.0641057i \(-0.979581\pi\)
0.687941 0.725767i \(-0.258515\pi\)
\(398\) 2.05197e6 + 988178.i 0.649328 + 0.312700i
\(399\) −224833. 69351.9i −0.0707015 0.0218085i
\(400\) 61836.1 157556.i 0.0193238 0.0492362i
\(401\) −3.86597e6 + 3.58710e6i −1.20060 + 1.11399i −0.209928 + 0.977717i \(0.567323\pi\)
−0.990671 + 0.136276i \(0.956486\pi\)
\(402\) −8.63724e6 5.88877e6i −2.66569 1.81744i
\(403\) −209321. + 262480.i −0.0642021 + 0.0805069i
\(404\) −698228. 105241.i −0.212835 0.0320798i
\(405\) 3.38095e6 1.04289e6i 1.02424 0.315936i
\(406\) 818675. 1.09245e7i 0.246488 3.28916i
\(407\) −5.32215e6 + 3.62858e6i −1.59258 + 1.08580i
\(408\) 915047. 4.00908e6i 0.272140 1.19232i
\(409\) 109502. 479759.i 0.0323678 0.141812i −0.956162 0.292838i \(-0.905400\pi\)
0.988530 + 0.151025i \(0.0482575\pi\)
\(410\) 1.76287e6 1.20190e6i 0.517916 0.353109i
\(411\) 51921.2 692840.i 0.0151614 0.202315i
\(412\) −4.69577e6 + 1.44845e6i −1.36290 + 0.420399i
\(413\) 5.21555e6 + 786118.i 1.50461 + 0.226784i
\(414\) 9.27036e6 1.16247e7i 2.65825 3.33334i
\(415\) −1.72019e6 1.17280e6i −0.490293 0.334276i
\(416\) 3.12792e6 2.90229e6i 0.886181 0.822255i
\(417\) −4.47090e6 + 1.13917e7i −1.25909 + 3.20810i
\(418\) 159603. + 49231.1i 0.0446787 + 0.0137816i
\(419\) 252262. + 121483.i 0.0701966 + 0.0338049i 0.468653 0.883383i \(-0.344740\pi\)
−0.398456 + 0.917187i \(0.630454\pi\)
\(420\) 2.97901e6 + 7.59038e6i 0.824040 + 2.09962i
\(421\) 151484. + 2.02141e6i 0.0416544 + 0.555840i 0.978520 + 0.206151i \(0.0660937\pi\)
−0.936866 + 0.349689i \(0.886287\pi\)
\(422\) −455372. 571018.i −0.124476 0.156088i
\(423\) 578314. + 1.00167e6i 0.157149 + 0.272191i
\(424\) −583327. + 1.01035e6i −0.157579 + 0.272934i
\(425\) 1.96128e6 295616.i 0.526705 0.0793881i
\(426\) −6.33172e6 + 3.04920e6i −1.69043 + 0.814070i
\(427\) 1.25514e6 + 1.16460e6i 0.333137 + 0.309106i
\(428\) 2.52410e6 + 1.10588e7i 0.666035 + 2.91809i
\(429\) 8.92753e6 2.34201
\(430\) 2.81466e6 1.25059e6i 0.734100 0.326169i
\(431\) 536714. 0.139171 0.0695857 0.997576i \(-0.477832\pi\)
0.0695857 + 0.997576i \(0.477832\pi\)
\(432\) −149344. 654319.i −0.0385016 0.168686i
\(433\) −2.09462e6 1.94352e6i −0.536890 0.498161i 0.364480 0.931211i \(-0.381247\pi\)
−0.901370 + 0.433050i \(0.857437\pi\)
\(434\) −796130. + 383396.i −0.202890 + 0.0977064i
\(435\) −4.69480e6 + 707627.i −1.18958 + 0.179300i
\(436\) −2.59584e6 + 4.49612e6i −0.653976 + 1.13272i
\(437\) 58706.4 + 101682.i 0.0147056 + 0.0254708i
\(438\) −3.79707e6 4.76138e6i −0.945723 1.18590i
\(439\) 591673. + 7.89532e6i 0.146528 + 1.95528i 0.269827 + 0.962909i \(0.413033\pi\)
−0.123300 + 0.992370i \(0.539348\pi\)
\(440\) −781401. 1.99098e6i −0.192416 0.490269i
\(441\) −1.22808e7 5.91413e6i −3.00698 1.44809i
\(442\) 5.12930e6 + 1.58218e6i 1.24883 + 0.385212i
\(443\) 658333. 1.67741e6i 0.159381 0.406096i −0.828768 0.559592i \(-0.810958\pi\)
0.988149 + 0.153496i \(0.0490532\pi\)
\(444\) 1.52136e7 1.41162e7i 3.66248 3.39829i
\(445\) 958222. + 653305.i 0.229386 + 0.156392i
\(446\) 6.01032e6 7.53670e6i 1.43074 1.79409i
\(447\) −2.98075e6 449276.i −0.705598 0.106352i
\(448\) 1.02864e7 3.17293e6i 2.42141 0.746906i
\(449\) 111994. 1.49446e6i 0.0262168 0.349838i −0.968634 0.248491i \(-0.920065\pi\)
0.994851 0.101348i \(-0.0323155\pi\)
\(450\) −1.00350e7 + 6.84177e6i −2.33608 + 1.59271i
\(451\) 839103. 3.67635e6i 0.194256 0.851090i
\(452\) 1.43623e6 6.29252e6i 0.330657 1.44870i
\(453\) −3.19669e6 + 2.17947e6i −0.731907 + 0.499005i
\(454\) −676579. + 9.02831e6i −0.154056 + 2.05573i
\(455\) −3.75820e6 + 1.15925e6i −0.851043 + 0.262512i
\(456\) −196625. 29636.4i −0.0442819 0.00667442i
\(457\) −1.39390e6 + 1.74790e6i −0.312206 + 0.391494i −0.913033 0.407885i \(-0.866267\pi\)
0.600827 + 0.799379i \(0.294838\pi\)
\(458\) 6.09128e6 + 4.15296e6i 1.35689 + 0.925112i
\(459\) 5.76536e6 5.34947e6i 1.27731 1.18517i
\(460\) 1.48658e6 3.78776e6i 0.327563 0.834618i
\(461\) −7.16768e6 2.21094e6i −1.57082 0.484534i −0.617518 0.786556i \(-0.711862\pi\)
−0.953301 + 0.302023i \(0.902338\pi\)
\(462\) 2.11706e7 + 1.01952e7i 4.61453 + 2.22224i
\(463\) −442780. 1.12819e6i −0.0959921 0.244584i 0.874810 0.484467i \(-0.160986\pi\)
−0.970802 + 0.239883i \(0.922891\pi\)
\(464\) 32174.3 + 429337.i 0.00693769 + 0.0925770i
\(465\) 238771. + 299410.i 0.0512094 + 0.0642146i
\(466\) −143183. 248000.i −0.0305440 0.0529037i
\(467\) 537802. 931500.i 0.114112 0.197647i −0.803313 0.595558i \(-0.796931\pi\)
0.917424 + 0.397910i \(0.130264\pi\)
\(468\) −1.99339e7 + 3.00455e6i −4.20705 + 0.634111i
\(469\) 7.33323e6 3.53150e6i 1.53944 0.741356i
\(470\) 378331. + 351040.i 0.0790000 + 0.0733013i
\(471\) −2.02911e6 8.89012e6i −0.421458 1.84653i
\(472\) 4.45756e6 0.920963
\(473\) 2.14327e6 5.00382e6i 0.440477 1.02837i
\(474\) −1.36458e7 −2.78967
\(475\) −21341.9 93504.8i −0.00434009 0.0190152i
\(476\) 6.35187e6 + 5.89368e6i 1.28494 + 1.19225i
\(477\) −3.50753e6 + 1.68914e6i −0.705838 + 0.339914i
\(478\) −3.20395e6 + 482918.i −0.641382 + 0.0966727i
\(479\) 2.31410e6 4.00813e6i 0.460832 0.798184i −0.538171 0.842836i \(-0.680884\pi\)
0.999003 + 0.0446515i \(0.0142177\pi\)
\(480\) −2.43367e6 4.21524e6i −0.482123 0.835062i
\(481\) 6.24124e6 + 7.82627e6i 1.23001 + 1.54238i
\(482\) 470902. + 6.28375e6i 0.0923237 + 1.23197i
\(483\) 6.03474e6 + 1.53763e7i 1.17704 + 2.99905i
\(484\) −1.85262e6 892176.i −0.359479 0.173116i
\(485\) 2.98774e6 + 921596.i 0.576751 + 0.177904i
\(486\) −4.49133e6 + 1.14437e7i −0.862549 + 2.19774i
\(487\) 281976. 261636.i 0.0538753 0.0499890i −0.652776 0.757551i \(-0.726396\pi\)
0.706651 + 0.707562i \(0.250205\pi\)
\(488\) 1.19559e6 + 815139.i 0.227265 + 0.154947i
\(489\) −641321. + 804192.i −0.121284 + 0.152085i
\(490\) −6.01428e6 906506.i −1.13160 0.170561i
\(491\) −8.71568e6 + 2.68843e6i −1.63154 + 0.503263i −0.969269 0.246002i \(-0.920883\pi\)
−0.662270 + 0.749265i \(0.730407\pi\)
\(492\) −907939. + 1.21156e7i −0.169100 + 2.25648i
\(493\) −4.16864e6 + 2.84213e6i −0.772462 + 0.526656i
\(494\) 57757.6 253052.i 0.0106486 0.0466545i
\(495\) 1.58816e6 6.95820e6i 0.291328 1.27639i
\(496\) 28693.1 19562.6i 0.00523689 0.00357045i
\(497\) 408906. 5.45647e6i 0.0742562 0.990880i
\(498\) 1.84715e7 5.69769e6i 3.33755 1.02950i
\(499\) −8.75099e6 1.31900e6i −1.57328 0.237134i −0.696332 0.717719i \(-0.745186\pi\)
−0.876948 + 0.480586i \(0.840424\pi\)
\(500\) −4.83378e6 + 6.06137e6i −0.864693 + 1.08429i
\(501\) −6.76821e6 4.61449e6i −1.20470 0.821352i
\(502\) −3.43375e6 + 3.18605e6i −0.608147 + 0.564278i
\(503\) 3.45908e6 8.81358e6i 0.609593 1.55322i −0.208433 0.978037i \(-0.566836\pi\)
0.818026 0.575181i \(-0.195068\pi\)
\(504\) −1.87347e7 5.77890e6i −3.28527 1.01337i
\(505\) −350025. 168563.i −0.0610760 0.0294127i
\(506\) −4.28390e6 1.09152e7i −0.743813 1.89520i
\(507\) −245979. 3.28236e6i −0.0424989 0.567109i
\(508\) −1.11242e7 1.39493e7i −1.91254 2.39825i
\(509\) 4.30166e6 + 7.45069e6i 0.735938 + 1.27468i 0.954311 + 0.298816i \(0.0965918\pi\)
−0.218373 + 0.975865i \(0.570075\pi\)
\(510\) 3.06151e6 5.30268e6i 0.521206 0.902756i
\(511\) 4.68875e6 706716.i 0.794338 0.119727i
\(512\) −752646. + 362455.i −0.126887 + 0.0611054i
\(513\) −278785. 258675.i −0.0467710 0.0433971i
\(514\) 1.86113e6 + 8.15415e6i 0.310720 + 1.36135i
\(515\) −2.70369e6 −0.449199
\(516\) −4.42548e6 + 1.69711e7i −0.731705 + 2.80599i
\(517\) 912153. 0.150086
\(518\) 5.86279e6 + 2.56866e7i 0.960019 + 4.20612i
\(519\) −1.84646e6 1.71327e6i −0.300900 0.279195i
\(520\) −2.99464e6 + 1.44214e6i −0.485665 + 0.233884i
\(521\) 3.54157e6 533806.i 0.571613 0.0861568i 0.143126 0.989705i \(-0.454285\pi\)
0.428487 + 0.903548i \(0.359047\pi\)
\(522\) 1.54473e7 2.67556e7i 2.48129 4.29772i
\(523\) 294023. + 509262.i 0.0470031 + 0.0814118i 0.888570 0.458741i \(-0.151700\pi\)
−0.841567 + 0.540153i \(0.818366\pi\)
\(524\) −1.81723e6 2.27873e6i −0.289122 0.362547i
\(525\) −1.00833e6 1.34552e7i −0.159663 2.13055i
\(526\) −4.43582e6 1.13023e7i −0.699052 1.78115i
\(527\) 366654. + 176571.i 0.0575083 + 0.0276945i
\(528\) −882440. 272197.i −0.137753 0.0424911i
\(529\) 660000. 1.68165e6i 0.102543 0.261275i
\(530\) −1.27341e6 + 1.18155e6i −0.196915 + 0.182711i
\(531\) 1.22900e7 + 8.37918e6i 1.89154 + 1.28963i
\(532\) 261240. 327585.i 0.0400185 0.0501816i
\(533\) −5.79464e6 873401.i −0.883504 0.133167i
\(534\) −1.02894e7 + 3.17387e6i −1.56149 + 0.481654i
\(535\) −466386. + 6.22349e6i −0.0704467 + 0.940046i
\(536\) 5.68342e6 3.87489e6i 0.854472 0.582569i
\(537\) −1.73097e6 + 7.58389e6i −0.259033 + 1.13490i
\(538\) 1.40383e6 6.15058e6i 0.209102 0.916138i
\(539\) −8.88173e6 + 6.05546e6i −1.31682 + 0.897791i
\(540\) −984933. + 1.31430e7i −0.145352 + 1.93959i
\(541\) −8.38392e6 + 2.58610e6i −1.23156 + 0.379885i −0.841172 0.540768i \(-0.818134\pi\)
−0.390384 + 0.920652i \(0.627658\pi\)
\(542\) 1.18464e7 + 1.78556e6i 1.73216 + 0.261081i
\(543\) 2.94472e6 3.69256e6i 0.428593 0.537438i
\(544\) −4.27357e6 2.91367e6i −0.619147 0.422127i
\(545\) −2.09390e6 + 1.94286e6i −0.301971 + 0.280188i
\(546\) 1.33408e7 3.39918e7i 1.91514 4.87969i
\(547\) 7.93504e6 + 2.44764e6i 1.13392 + 0.349767i 0.804227 0.594322i \(-0.202580\pi\)
0.329690 + 0.944089i \(0.393056\pi\)
\(548\) 1.11474e6 + 536829.i 0.158570 + 0.0763633i
\(549\) 1.76410e6 + 4.49486e6i 0.249800 + 0.636481i
\(550\) 715786. + 9.55150e6i 0.100897 + 1.34637i
\(551\) 152111. + 190742.i 0.0213443 + 0.0267649i
\(552\) 6.97990e6 + 1.20895e7i 0.974993 + 1.68874i
\(553\) 5.31233e6 9.20123e6i 0.738707 1.27948i
\(554\) 1.51419e7 2.28227e6i 2.09607 0.315931i
\(555\) 1.02878e7 4.95434e6i 1.41772 0.682737i
\(556\) −1.59752e7 1.48228e7i −2.19158 2.03349i
\(557\) 1.20693e6 + 5.28793e6i 0.164834 + 0.722183i 0.988009 + 0.154396i \(0.0493432\pi\)
−0.823175 + 0.567787i \(0.807800\pi\)
\(558\) −2.49197e6 −0.338810
\(559\) −8.00326e6 2.74028e6i −1.08327 0.370908i
\(560\) 406824. 0.0548196
\(561\) −2.40806e6 1.05504e7i −0.323043 1.41534i
\(562\) −92549.0 85872.9i −0.0123603 0.0114687i
\(563\) −9.21512e6 + 4.43777e6i −1.22527 + 0.590057i −0.930773 0.365597i \(-0.880865\pi\)
−0.294492 + 0.955654i \(0.595150\pi\)
\(564\) −2.90607e6 + 438020.i −0.384688 + 0.0579824i
\(565\) 1.77556e6 3.07537e6i 0.234000 0.405299i
\(566\) 9.26545e6 + 1.60482e7i 1.21570 + 2.10565i
\(567\) −1.59473e7 1.99973e7i −2.08319 2.61224i
\(568\) −345575. 4.61138e6i −0.0449440 0.599736i
\(569\) −31173.7 79429.4i −0.00403653 0.0102849i 0.928841 0.370478i \(-0.120806\pi\)
−0.932878 + 0.360193i \(0.882711\pi\)
\(570\) −266759. 128464.i −0.0343899 0.0165613i
\(571\) 1.09374e7 + 3.37373e6i 1.40385 + 0.433032i 0.901931 0.431880i \(-0.142150\pi\)
0.501923 + 0.864912i \(0.332626\pi\)
\(572\) −5.80822e6 + 1.47991e7i −0.742255 + 1.89124i
\(573\) −8.08895e6 + 7.50545e6i −1.02921 + 0.954971i
\(574\) −1.27439e7 8.68863e6i −1.61444 1.10071i
\(575\) −4.19812e6 + 5.26427e6i −0.529523 + 0.664001i
\(576\) 3.00186e7 + 4.52457e6i 3.76993 + 0.568226i
\(577\) 344787. 106353.i 0.0431133 0.0132987i −0.273123 0.961979i \(-0.588057\pi\)
0.316237 + 0.948680i \(0.397581\pi\)
\(578\) −478993. + 6.39172e6i −0.0596362 + 0.795789i
\(579\) 6.37805e6 4.34848e6i 0.790663 0.539065i
\(580\) 1.88139e6 8.24291e6i 0.232225 1.01744i
\(581\) −3.34907e6 + 1.46732e7i −0.411608 + 1.80337i
\(582\) −2.39856e7 + 1.63531e7i −2.93524 + 2.00121i
\(583\) −229436. + 3.06161e6i −0.0279569 + 0.373059i
\(584\) 3.82929e6 1.18118e6i 0.464607 0.143312i
\(585\) −1.09675e7 1.65308e6i −1.32500 0.199712i
\(586\) −8.63373e6 + 1.08263e7i −1.03861 + 1.30238i
\(587\) 4.02560e6 + 2.74461e6i 0.482209 + 0.328764i 0.779907 0.625896i \(-0.215266\pi\)
−0.297698 + 0.954660i \(0.596219\pi\)
\(588\) 2.53889e7 2.35574e7i 3.02831 2.80986i
\(589\) 7189.34 18318.1i 0.000853888 0.00217567i
\(590\) 6.34240e6 + 1.95637e6i 0.750108 + 0.231378i
\(591\) 4.48978e6 + 2.16216e6i 0.528757 + 0.254636i
\(592\) −378294. 963878.i −0.0443635 0.113036i
\(593\) −966395. 1.28956e7i −0.112854 1.50594i −0.710228 0.703972i \(-0.751408\pi\)
0.597373 0.801963i \(-0.296211\pi\)
\(594\) 2.36805e7 + 2.96944e7i 2.75375 + 3.45309i
\(595\) 2.38370e6 + 4.12868e6i 0.276031 + 0.478100i
\(596\) 2.68403e6 4.64888e6i 0.309508 0.536084i
\(597\) −7.05579e6 + 1.06349e6i −0.810232 + 0.122123i
\(598\) −1.64177e7 + 7.90633e6i −1.87741 + 0.904111i
\(599\) 5.39852e6 + 5.00910e6i 0.614763 + 0.570417i 0.924869 0.380285i \(-0.124174\pi\)
−0.310106 + 0.950702i \(0.600365\pi\)
\(600\) −2.53744e6 1.11173e7i −0.287752 1.26072i
\(601\) −2.00095e6 −0.225970 −0.112985 0.993597i \(-0.536041\pi\)
−0.112985 + 0.993597i \(0.536041\pi\)
\(602\) −1.58494e7 1.56380e7i −1.78247 1.75869i
\(603\) 2.29537e7 2.57075
\(604\) −1.53313e6 6.71709e6i −0.170997 0.749185i
\(605\) −829328. 769504.i −0.0921166 0.0854717i
\(606\) 3.24987e6 1.56505e6i 0.359488 0.173120i
\(607\) 1.23441e6 186057.i 0.135984 0.0204963i −0.0806976 0.996739i \(-0.525715\pi\)
0.216681 + 0.976242i \(0.430477\pi\)
\(608\) −125054. + 216600.i −0.0137195 + 0.0237630i
\(609\) 1.71612e7 + 2.97240e7i 1.87501 + 3.24762i
\(610\) 1.34338e6 + 1.68454e6i 0.146175 + 0.183298i
\(611\) −105931. 1.41355e6i −0.0114794 0.153182i
\(612\) 8.92757e6 + 2.27471e7i 0.963507 + 2.45498i
\(613\) −6.00857e6 2.89358e6i −0.645833 0.311017i 0.0821420 0.996621i \(-0.473824\pi\)
−0.727975 + 0.685604i \(0.759538\pi\)
\(614\) −1.56055e7 4.81367e6i −1.67054 0.515294i
\(615\) −2.44216e6 + 6.22251e6i −0.260367 + 0.663404i
\(616\) −1.13342e7 + 1.05166e7i −1.20349 + 1.11667i
\(617\) −2.90733e6 1.98218e6i −0.307455 0.209619i 0.399757 0.916621i \(-0.369095\pi\)
−0.707211 + 0.707002i \(0.750047\pi\)
\(618\) 1.56514e7 1.96262e7i 1.64847 2.06712i
\(619\) 2.16415e6 + 326193.i 0.227018 + 0.0342175i 0.261566 0.965186i \(-0.415761\pi\)
−0.0345480 + 0.999403i \(0.510999\pi\)
\(620\) −651674. + 201015.i −0.0680849 + 0.0210014i
\(621\) −1.99524e6 + 2.66246e7i −0.207618 + 2.77047i
\(622\) −1.20006e6 + 818185.i −0.124373 + 0.0847960i
\(623\) 1.86558e6 8.17364e6i 0.192572 0.843714i
\(624\) −319339. + 1.39912e6i −0.0328315 + 0.143844i
\(625\) 2.53104e6 1.72564e6i 0.259179 0.176705i
\(626\) −31870.1 + 425276.i −0.00325048 + 0.0433746i
\(627\) −500038. + 154241.i −0.0507966 + 0.0156687i
\(628\) 1.60572e7 + 2.42024e6i 1.62469 + 0.244883i
\(629\) 7.56546e6 9.48679e6i 0.762446 0.956077i
\(630\) −2.41202e7 1.64449e7i −2.42120 1.65074i
\(631\) 807408. 749165.i 0.0807271 0.0749038i −0.638777 0.769392i \(-0.720559\pi\)
0.719504 + 0.694488i \(0.244369\pi\)
\(632\) 3.28044e6 8.35844e6i 0.326693 0.832400i
\(633\) 2.18656e6 + 674465.i 0.216897 + 0.0669037i
\(634\) 3.55053e6 + 1.70984e6i 0.350808 + 0.168940i
\(635\) −3.58635e6 9.13787e6i −0.352954 0.899312i
\(636\) −739226. 9.86429e6i −0.0724661 0.966992i
\(637\) 1.04155e7 + 1.30607e7i 1.01703 + 1.27531i
\(638\) −1.21823e7 2.11003e7i −1.18489 2.05228i
\(639\) 7.71554e6 1.33637e7i 0.747505 1.29472i
\(640\) 7.99080e6 1.20442e6i 0.771153 0.116233i
\(641\) 1.21701e7 5.86082e6i 1.16990 0.563395i 0.254949 0.966955i \(-0.417941\pi\)
0.914953 + 0.403559i \(0.132227\pi\)
\(642\) −4.24767e7 3.94127e7i −4.06737 3.77397i
\(643\) −2.85534e6 1.25101e7i −0.272352 1.19325i −0.907229 0.420637i \(-0.861806\pi\)
0.634877 0.772613i \(-0.281051\pi\)
\(644\) −2.94153e7 −2.79485
\(645\) −5.07892e6 + 8.20484e6i −0.480698 + 0.776553i
\(646\) −314632. −0.0296634
\(647\) −1.53226e6 6.71327e6i −0.143904 0.630483i −0.994507 0.104674i \(-0.966620\pi\)
0.850603 0.525808i \(-0.176237\pi\)
\(648\) −1.58457e7 1.47027e7i −1.48243 1.37549i
\(649\) 1.05689e7 5.08972e6i 0.984960 0.474332i
\(650\) 1.47187e7 2.21849e6i 1.36643 0.205956i
\(651\) 1.38422e6 2.39754e6i 0.128013 0.221725i
\(652\) −915861. 1.58632e6i −0.0843744 0.146141i
\(653\) 2.07501e6 + 2.60198e6i 0.190431 + 0.238793i 0.867876 0.496780i \(-0.165485\pi\)
−0.677446 + 0.735573i \(0.736913\pi\)
\(654\) −1.98191e6 2.64468e7i −0.181192 2.41784i
\(655\) −585857. 1.49274e6i −0.0533567 0.135951i
\(656\) 546140. + 263007.i 0.0495501 + 0.0238621i
\(657\) 1.27781e7 + 3.94153e6i 1.15493 + 0.356247i
\(658\) 1.36307e6 3.47304e6i 0.122731 0.312713i
\(659\) −1.15285e7 + 1.06969e7i −1.03410 + 0.959500i −0.999204 0.0398907i \(-0.987299\pi\)
−0.0348914 + 0.999391i \(0.511109\pi\)
\(660\) 1.49838e7 + 1.02158e7i 1.33894 + 0.912874i
\(661\) 1.01730e7 1.27566e7i 0.905621 1.13561i −0.0846435 0.996411i \(-0.526975\pi\)
0.990264 0.139201i \(-0.0444534\pi\)
\(662\) −3.96308e6 597339.i −0.351470 0.0529756i
\(663\) −1.60701e7 + 4.95698e6i −1.41983 + 0.437959i
\(664\) −950534. + 1.26840e7i −0.0836657 + 1.11644i
\(665\) 190471. 129861.i 0.0167023 0.0113874i
\(666\) −1.65338e7 + 7.24392e7i −1.44440 + 6.32832i
\(667\) 3.81124e6 1.66981e7i 0.331705 1.45329i
\(668\) 1.20528e7 8.21745e6i 1.04507 0.712518i
\(669\) −2.25697e6 + 3.01171e7i −0.194967 + 2.60165i
\(670\) 9.78725e6 3.01897e6i 0.842314 0.259819i
\(671\) 3.76549e6 + 567557.i 0.322861 + 0.0486635i
\(672\) −2.19383e7 + 2.75098e7i −1.87405 + 2.34998i
\(673\) 1.35950e7 + 9.26895e6i 1.15703 + 0.788847i 0.980706 0.195486i \(-0.0626285\pi\)
0.176319 + 0.984333i \(0.443581\pi\)
\(674\) −7.24664e6 + 6.72390e6i −0.614451 + 0.570127i
\(675\) 7.96789e6 2.03019e7i 0.673107 1.71505i
\(676\) 5.60118e6 + 1.72774e6i 0.471425 + 0.145415i
\(677\) 6.66637e6 + 3.21036e6i 0.559008 + 0.269204i 0.691981 0.721916i \(-0.256738\pi\)
−0.132973 + 0.991120i \(0.542452\pi\)
\(678\) 1.20457e7 + 3.06919e7i 1.00637 + 2.56419i
\(679\) −1.68911e6 2.25396e7i −0.140599 1.87616i
\(680\) 2.51206e6 + 3.15002e6i 0.208332 + 0.261241i
\(681\) −1.41825e7 2.45649e7i −1.17189 2.02977i
\(682\) −982622. + 1.70195e6i −0.0808957 + 0.140116i
\(683\) −1.96161e7 + 2.95665e6i −1.60902 + 0.242520i −0.891166 0.453678i \(-0.850112\pi\)
−0.717849 + 0.696198i \(0.754873\pi\)
\(684\) 1.06460e6 512686.i 0.0870058 0.0418998i
\(685\) 499012. + 463016.i 0.0406335 + 0.0377024i
\(686\) 2.91611e6 + 1.27763e7i 0.236589 + 1.03656i
\(687\) −2.30975e7 −1.86712
\(688\) 707530. + 514878.i 0.0569867 + 0.0414700i
\(689\) 4.77118e6 0.382893
\(690\) 4.62533e6 + 2.02649e7i 0.369845 + 1.62040i
\(691\) 1.76362e7 + 1.63640e7i 1.40511 + 1.30375i 0.896703 + 0.442633i \(0.145955\pi\)
0.508406 + 0.861118i \(0.330235\pi\)
\(692\) 4.04138e6 1.94622e6i 0.320822 0.154500i
\(693\) −5.10186e7 + 7.68982e6i −4.03549 + 0.608252i
\(694\) −8.95798e6 + 1.55157e7i −0.706011 + 1.22285i
\(695\) −5.99507e6 1.03838e7i −0.470795 0.815442i
\(696\) 1.80853e7 + 2.26782e7i 1.41515 + 1.77454i
\(697\) 530841. + 7.08358e6i 0.0413888 + 0.552295i
\(698\) −6.17803e6 1.57414e7i −0.479967 1.22294i
\(699\) 808335. + 389274.i 0.0625747 + 0.0301344i
\(700\) 2.29606e7 + 7.08242e6i 1.77108 + 0.546307i
\(701\) 1.46695e6 3.73773e6i 0.112751 0.287285i −0.863349 0.504608i \(-0.831637\pi\)
0.976100 + 0.217323i \(0.0697324\pi\)
\(702\) 4.32669e7 4.01458e7i 3.31370 3.07467i
\(703\) −484792. 330525.i −0.0369970 0.0252242i
\(704\) 1.49270e7 1.87178e7i 1.13511 1.42339i
\(705\) −1.59890e6 240995.i −0.121157 0.0182614i
\(706\) −3.25157e7 + 1.00298e7i −2.45517 + 0.757320i
\(707\) −209878. + 2.80063e6i −0.0157913 + 0.210721i
\(708\) −3.12279e7 + 2.12908e7i −2.34131 + 1.59628i
\(709\) 1.32633e6 5.81103e6i 0.0990914 0.434148i −0.900909 0.434009i \(-0.857099\pi\)
1.00000 0.000138961i \(-4.42326e-5\pi\)
\(710\) 1.53218e6 6.71293e6i 0.114068 0.499766i
\(711\) 2.47565e7 1.68787e7i 1.83660 1.25217i
\(712\) 529490. 7.06555e6i 0.0391433 0.522331i
\(713\) −1.32013e6 + 407207.i −0.0972510 + 0.0299979i
\(714\) −4.37693e7 6.59716e6i −3.21310 0.484297i
\(715\) −5.45366e6 + 6.83868e6i −0.398954 + 0.500273i
\(716\) −1.14456e7 7.80347e6i −0.834365 0.568860i
\(717\) 7.44150e6 6.90470e6i 0.540583 0.501588i
\(718\) −1.45093e7 + 3.69690e7i −1.05035 + 2.67625i
\(719\) −2.08094e7 6.41885e6i −1.50120 0.463058i −0.568184 0.822901i \(-0.692354\pi\)
−0.933013 + 0.359843i \(0.882830\pi\)
\(720\) 1.03368e6 + 497792.i 0.0743110 + 0.0357863i
\(721\) 7.14066e6 + 1.81941e7i 0.511564 + 1.30344i
\(722\) −1.68215e6 2.24467e7i −0.120094 1.60254i
\(723\) −1.23091e7 1.54351e7i −0.875750 1.09816i
\(724\) 4.20531e6 + 7.28381e6i 0.298162 + 0.516431i
\(725\) −6.99539e6 + 1.21164e7i −0.494273 + 0.856106i
\(726\) 1.03868e7 1.56555e6i 0.731372 0.110237i
\(727\) 1.16076e7 5.58994e6i 0.814531 0.392258i 0.0202404 0.999795i \(-0.493557\pi\)
0.794291 + 0.607538i \(0.207843\pi\)
\(728\) 1.76138e7 + 1.63432e7i 1.23175 + 1.14290i
\(729\) −1.71930e6 7.53273e6i −0.119821 0.524969i
\(730\) 5.96688e6 0.414419
\(731\) −1.07966e6 + 1.01972e7i −0.0747301 + 0.705813i
\(732\) −1.22692e7 −0.846328
\(733\) −4.01019e6 1.75698e7i −0.275680 1.20783i −0.903196 0.429229i \(-0.858785\pi\)
0.627515 0.778604i \(-0.284072\pi\)
\(734\) −3.08010e6 2.85791e6i −0.211020 0.195798i
\(735\) 1.71685e7 8.26792e6i 1.17223 0.564518i
\(736\) 1.73626e7 2.61699e6i 1.18146 0.178077i
\(737\) 9.05103e6 1.56768e7i 0.613803 1.06314i
\(738\) −2.17487e7 3.76699e7i −1.46992 2.54597i
\(739\) 2.51680e6 + 3.15597e6i 0.169527 + 0.212580i 0.859336 0.511411i \(-0.170877\pi\)
−0.689809 + 0.723991i \(0.742306\pi\)
\(740\) 1.51957e6 + 2.02773e7i 0.102010 + 1.36123i
\(741\) 297097. + 756990.i 0.0198771 + 0.0506460i
\(742\) 1.13143e7 + 5.44867e6i 0.754427 + 0.363313i
\(743\) 1.47886e7 + 4.56168e6i 0.982776 + 0.303146i 0.744185 0.667974i \(-0.232838\pi\)
0.238591 + 0.971120i \(0.423314\pi\)
\(744\) 854777. 2.17794e6i 0.0566136 0.144249i
\(745\) 2.16504e6 2.00887e6i 0.142914 0.132605i
\(746\) 1.57592e7 + 1.07444e7i 1.03678 + 0.706864i
\(747\) −2.64637e7 + 3.31844e7i −1.73520 + 2.17587i
\(748\) 1.90560e7 + 2.87223e6i 1.24531 + 0.187700i
\(749\) 4.31118e7 1.32982e7i 2.80796 0.866142i
\(750\) 2.95961e6 3.94932e7i 0.192124 2.56371i
\(751\) −1.39499e7 + 9.51089e6i −0.902551 + 0.615349i −0.923150 0.384439i \(-0.874395\pi\)
0.0205994 + 0.999788i \(0.493443\pi\)
\(752\) −32627.9 + 142952.i −0.00210399 + 0.00921819i
\(753\) 3.26562e6 1.43076e7i 0.209884 0.919560i
\(754\) −3.12841e7 + 2.13292e7i −2.00399 +