Properties

Label 43.6.g.a.24.9
Level 43
Weight 6
Character 43.24
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 24.9
Character \(\chi\) \(=\) 43.24
Dual form 43.6.g.a.9.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.10270 + 1.38274i) q^{2} +(-5.76893 + 0.869526i) q^{3} +(6.42464 + 28.1482i) q^{4} +(43.6641 - 29.7697i) q^{5} +(5.15906 - 8.93576i) q^{6} +(20.6505 + 35.7677i) q^{7} +(-96.9964 - 46.7110i) q^{8} +(-199.680 + 61.5931i) q^{9} +O(q^{10})\) \(q+(-1.10270 + 1.38274i) q^{2} +(-5.76893 + 0.869526i) q^{3} +(6.42464 + 28.1482i) q^{4} +(43.6641 - 29.7697i) q^{5} +(5.15906 - 8.93576i) q^{6} +(20.6505 + 35.7677i) q^{7} +(-96.9964 - 46.7110i) q^{8} +(-199.680 + 61.5931i) q^{9} +(-6.98461 + 93.2031i) q^{10} +(-168.726 + 739.238i) q^{11} +(-61.5389 - 156.798i) q^{12} +(11.5174 + 153.689i) q^{13} +(-72.2289 - 10.8867i) q^{14} +(-226.009 + 209.706i) q^{15} +(-660.864 + 318.255i) q^{16} +(920.466 + 627.563i) q^{17} +(135.020 - 344.024i) q^{18} +(-1082.64 - 333.949i) q^{19} +(1118.49 + 1037.81i) q^{20} +(-150.232 - 188.385i) q^{21} +(-836.121 - 1048.46i) q^{22} +(-2053.48 - 1905.35i) q^{23} +(600.182 + 185.132i) q^{24} +(-121.373 + 309.253i) q^{25} +(-225.212 - 153.547i) q^{26} +(2375.67 - 1144.06i) q^{27} +(-874.125 + 811.070i) q^{28} +(8021.60 + 1209.06i) q^{29} +(-40.7488 - 543.755i) q^{30} +(954.704 + 2432.55i) q^{31} +(1055.27 - 4623.42i) q^{32} +(330.583 - 4411.32i) q^{33} +(-1882.75 + 580.753i) q^{34} +(1966.48 + 947.006i) q^{35} +(-3016.60 - 5224.91i) q^{36} +(3345.25 - 5794.14i) q^{37} +(1655.59 - 1128.76i) q^{38} +(-200.080 - 876.606i) q^{39} +(-5625.83 + 847.957i) q^{40} +(-2434.70 + 3053.02i) q^{41} +426.149 q^{42} +(10628.7 - 5834.38i) q^{43} -21892.2 q^{44} +(-6885.23 + 8633.80i) q^{45} +(4898.97 - 738.401i) q^{46} +(5756.45 + 25220.6i) q^{47} +(3535.74 - 2410.63i) q^{48} +(7550.61 - 13078.0i) q^{49} +(-293.779 - 508.840i) q^{50} +(-5855.78 - 2820.00i) q^{51} +(-4252.07 + 1311.59i) q^{52} +(-360.849 + 4815.20i) q^{53} +(-1037.71 + 4546.49i) q^{54} +(14639.6 + 37301.1i) q^{55} +(-332.279 - 4433.95i) q^{56} +(6536.03 + 985.148i) q^{57} +(-10517.2 + 9758.57i) q^{58} +(-40241.8 + 19379.4i) q^{59} +(-7354.87 - 5014.47i) q^{60} +(9825.98 - 25036.2i) q^{61} +(-4416.34 - 1362.26i) q^{62} +(-6326.53 - 5870.17i) q^{63} +(-9405.27 - 11793.8i) q^{64} +(5078.16 + 6367.82i) q^{65} +(5735.18 + 5321.47i) q^{66} +(2430.29 + 749.644i) q^{67} +(-11751.1 + 29941.3i) q^{68} +(13503.1 + 9206.26i) q^{69} +(-3477.90 + 1674.87i) q^{70} +(40515.4 - 37592.8i) q^{71} +(22245.3 + 3352.94i) q^{72} +(-3764.54 - 50234.3i) q^{73} +(4322.99 + 11014.8i) q^{74} +(431.287 - 1889.59i) q^{75} +(2444.52 - 32619.8i) q^{76} +(-29925.2 + 9230.69i) q^{77} +(1432.75 + 689.975i) q^{78} +(4317.15 + 7477.53i) q^{79} +(-19381.7 + 33570.0i) q^{80} +(29244.6 - 19938.6i) q^{81} +(-1536.79 - 6733.13i) q^{82} +(12954.5 - 1952.58i) q^{83} +(4337.52 - 5439.07i) q^{84} +58873.6 q^{85} +(-3652.78 + 21130.3i) q^{86} -47327.3 q^{87} +(50896.4 - 63822.1i) q^{88} +(-47810.0 + 7206.20i) q^{89} +(-4345.98 - 19041.0i) q^{90} +(-5259.27 + 3585.71i) q^{91} +(40439.2 - 70042.8i) q^{92} +(-7622.78 - 13203.0i) q^{93} +(-41221.3 - 19851.1i) q^{94} +(-57213.9 + 17648.1i) q^{95} +(-2067.57 + 27589.8i) q^{96} +(-10502.1 + 46012.8i) q^{97} +(9757.50 + 24861.7i) q^{98} +(-11840.7 - 158003. 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.10270 + 1.38274i −0.194932 + 0.244436i −0.869685 0.493606i \(-0.835678\pi\)
0.674754 + 0.738043i \(0.264250\pi\)
\(3\) −5.76893 + 0.869526i −0.370077 + 0.0557801i −0.331448 0.943474i \(-0.607537\pi\)
−0.0386289 + 0.999254i \(0.512299\pi\)
\(4\) 6.42464 + 28.1482i 0.200770 + 0.879631i
\(5\) 43.6641 29.7697i 0.781086 0.532536i −0.105875 0.994379i \(-0.533764\pi\)
0.886961 + 0.461844i \(0.152812\pi\)
\(6\) 5.15906 8.93576i 0.0585050 0.101334i
\(7\) 20.6505 + 35.7677i 0.159289 + 0.275897i 0.934612 0.355668i \(-0.115747\pi\)
−0.775323 + 0.631564i \(0.782413\pi\)
\(8\) −96.9964 46.7110i −0.535835 0.258044i
\(9\) −199.680 + 61.5931i −0.821727 + 0.253469i
\(10\) −6.98461 + 93.2031i −0.0220873 + 0.294734i
\(11\) −168.726 + 739.238i −0.420437 + 1.84206i 0.109457 + 0.993992i \(0.465089\pi\)
−0.529894 + 0.848064i \(0.677768\pi\)
\(12\) −61.5389 156.798i −0.123366 0.314332i
\(13\) 11.5174 + 153.689i 0.0189015 + 0.252223i 0.998648 + 0.0519813i \(0.0165536\pi\)
−0.979747 + 0.200242i \(0.935827\pi\)
\(14\) −72.2289 10.8867i −0.0984897 0.0148449i
\(15\) −226.009 + 209.706i −0.259357 + 0.240648i
\(16\) −660.864 + 318.255i −0.645375 + 0.310796i
\(17\) 920.466 + 627.563i 0.772477 + 0.526666i 0.884220 0.467072i \(-0.154691\pi\)
−0.111743 + 0.993737i \(0.535643\pi\)
\(18\) 135.020 344.024i 0.0982235 0.250269i
\(19\) −1082.64 333.949i −0.688017 0.212225i −0.0690160 0.997616i \(-0.521986\pi\)
−0.619001 + 0.785391i \(0.712462\pi\)
\(20\) 1118.49 + 1037.81i 0.625254 + 0.580151i
\(21\) −150.232 188.385i −0.0743387 0.0932178i
\(22\) −836.121 1048.46i −0.368309 0.461845i
\(23\) −2053.48 1905.35i −0.809413 0.751025i 0.162414 0.986723i \(-0.448072\pi\)
−0.971826 + 0.235698i \(0.924263\pi\)
\(24\) 600.182 + 185.132i 0.212694 + 0.0656073i
\(25\) −121.373 + 309.253i −0.0388393 + 0.0989608i
\(26\) −225.212 153.547i −0.0653370 0.0445460i
\(27\) 2375.67 1144.06i 0.627157 0.302023i
\(28\) −874.125 + 811.070i −0.210707 + 0.195507i
\(29\) 8021.60 + 1209.06i 1.77119 + 0.266964i 0.951900 0.306410i \(-0.0991277\pi\)
0.819294 + 0.573374i \(0.194366\pi\)
\(30\) −40.7488 543.755i −0.00826631 0.110306i
\(31\) 954.704 + 2432.55i 0.178429 + 0.454629i 0.991907 0.126966i \(-0.0405240\pi\)
−0.813478 + 0.581595i \(0.802429\pi\)
\(32\) 1055.27 4623.42i 0.182174 0.798158i
\(33\) 330.583 4411.32i 0.0528440 0.705154i
\(34\) −1882.75 + 580.753i −0.279316 + 0.0861577i
\(35\) 1966.48 + 947.006i 0.271343 + 0.130672i
\(36\) −3016.60 5224.91i −0.387938 0.671928i
\(37\) 3345.25 5794.14i 0.401720 0.695800i −0.592213 0.805781i \(-0.701746\pi\)
0.993934 + 0.109981i \(0.0350790\pi\)
\(38\) 1655.59 1128.76i 0.185992 0.126807i
\(39\) −200.080 876.606i −0.0210640 0.0922875i
\(40\) −5625.83 + 847.957i −0.555951 + 0.0837961i
\(41\) −2434.70 + 3053.02i −0.226197 + 0.283642i −0.881959 0.471325i \(-0.843776\pi\)
0.655763 + 0.754967i \(0.272347\pi\)
\(42\) 426.149 0.0372768
\(43\) 10628.7 5834.38i 0.876612 0.481198i
\(44\) −21892.2 −1.70474
\(45\) −6885.23 + 8633.80i −0.506859 + 0.635581i
\(46\) 4898.97 738.401i 0.341358 0.0514514i
\(47\) 5756.45 + 25220.6i 0.380110 + 1.66537i 0.697123 + 0.716951i \(0.254463\pi\)
−0.317013 + 0.948421i \(0.602680\pi\)
\(48\) 3535.74 2410.63i 0.221502 0.151017i
\(49\) 7550.61 13078.0i 0.449254 0.778131i
\(50\) −293.779 508.840i −0.0166186 0.0287843i
\(51\) −5855.78 2820.00i −0.315253 0.151818i
\(52\) −4252.07 + 1311.59i −0.218068 + 0.0672651i
\(53\) −360.849 + 4815.20i −0.0176456 + 0.235464i 0.981407 + 0.191939i \(0.0614777\pi\)
−0.999052 + 0.0435245i \(0.986141\pi\)
\(54\) −1037.71 + 4546.49i −0.0484273 + 0.212174i
\(55\) 14639.6 + 37301.1i 0.652563 + 1.66270i
\(56\) −332.279 4433.95i −0.0141590 0.188939i
\(57\) 6536.03 + 985.148i 0.266457 + 0.0401619i
\(58\) −10517.2 + 9758.57i −0.410517 + 0.380904i
\(59\) −40241.8 + 19379.4i −1.50504 + 0.724788i −0.991110 0.133045i \(-0.957525\pi\)
−0.513928 + 0.857833i \(0.671810\pi\)
\(60\) −7354.87 5014.47i −0.263753 0.179824i
\(61\) 9825.98 25036.2i 0.338105 0.861477i −0.656169 0.754614i \(-0.727824\pi\)
0.994274 0.106863i \(-0.0340807\pi\)
\(62\) −4416.34 1362.26i −0.145909 0.0450070i
\(63\) −6326.53 5870.17i −0.200823 0.186337i
\(64\) −9405.27 11793.8i −0.287026 0.359919i
\(65\) 5078.16 + 6367.82i 0.149081 + 0.186942i
\(66\) 5735.18 + 5321.47i 0.162064 + 0.150374i
\(67\) 2430.29 + 749.644i 0.0661410 + 0.0204018i 0.327649 0.944799i \(-0.393744\pi\)
−0.261508 + 0.965201i \(0.584220\pi\)
\(68\) −11751.1 + 29941.3i −0.308181 + 0.785233i
\(69\) 13503.1 + 9206.26i 0.341437 + 0.232788i
\(70\) −3477.90 + 1674.87i −0.0848344 + 0.0408541i
\(71\) 40515.4 37592.8i 0.953838 0.885033i −0.0396215 0.999215i \(-0.512615\pi\)
0.993460 + 0.114182i \(0.0364248\pi\)
\(72\) 22245.3 + 3352.94i 0.505716 + 0.0762245i
\(73\) −3764.54 50234.3i −0.0826808 1.10330i −0.872062 0.489395i \(-0.837217\pi\)
0.789381 0.613903i \(-0.210402\pi\)
\(74\) 4322.99 + 11014.8i 0.0917709 + 0.233829i
\(75\) 431.287 1889.59i 0.00885346 0.0387896i
\(76\) 2444.52 32619.8i 0.0485466 0.647809i
\(77\) −29925.2 + 9230.69i −0.575188 + 0.177422i
\(78\) 1432.75 + 689.975i 0.0266645 + 0.0128409i
\(79\) 4317.15 + 7477.53i 0.0778269 + 0.134800i 0.902312 0.431083i \(-0.141869\pi\)
−0.824485 + 0.565883i \(0.808535\pi\)
\(80\) −19381.7 + 33570.0i −0.338583 + 0.586444i
\(81\) 29244.6 19938.6i 0.495259 0.337662i
\(82\) −1536.79 6733.13i −0.0252395 0.110582i
\(83\) 12954.5 1952.58i 0.206408 0.0311110i −0.0450243 0.998986i \(-0.514337\pi\)
0.251432 + 0.967875i \(0.419098\pi\)
\(84\) 4337.52 5439.07i 0.0670723 0.0841060i
\(85\) 58873.6 0.883839
\(86\) −3652.78 + 21130.3i −0.0532570 + 0.308077i
\(87\) −47327.3 −0.670369
\(88\) 50896.4 63822.1i 0.700617 0.878546i
\(89\) −47810.0 + 7206.20i −0.639800 + 0.0964343i −0.460927 0.887438i \(-0.652483\pi\)
−0.178872 + 0.983872i \(0.557245\pi\)
\(90\) −4345.98 19041.0i −0.0565563 0.247790i
\(91\) −5259.27 + 3585.71i −0.0665766 + 0.0453912i
\(92\) 40439.2 70042.8i 0.498119 0.862768i
\(93\) −7622.78 13203.0i −0.0913915 0.158295i
\(94\) −41221.3 19851.1i −0.481173 0.231721i
\(95\) −57213.9 + 17648.1i −0.650418 + 0.200627i
\(96\) −2067.57 + 27589.8i −0.0228972 + 0.305541i
\(97\) −10502.1 + 46012.8i −0.113331 + 0.496534i 0.886122 + 0.463452i \(0.153389\pi\)
−0.999453 + 0.0330820i \(0.989468\pi\)
\(98\) 9757.50 + 24861.7i 0.102630 + 0.261496i
\(99\) −11840.7 158003.i −0.121420 1.62024i
\(100\) −9484.68 1429.59i −0.0948468 0.0142959i
\(101\) 75629.5 70174.0i 0.737714 0.684499i −0.218936 0.975739i \(-0.570259\pi\)
0.956650 + 0.291241i \(0.0940680\pi\)
\(102\) 10356.5 4987.42i 0.0985626 0.0474653i
\(103\) 153580. + 104709.i 1.42640 + 0.972506i 0.997609 + 0.0691040i \(0.0220140\pi\)
0.428795 + 0.903402i \(0.358938\pi\)
\(104\) 6061.82 15445.3i 0.0549566 0.140027i
\(105\) −12167.9 3753.30i −0.107707 0.0332231i
\(106\) −6260.26 5808.68i −0.0541163 0.0502126i
\(107\) 84171.6 + 105548.i 0.710733 + 0.891230i 0.997774 0.0666878i \(-0.0212432\pi\)
−0.287041 + 0.957918i \(0.592672\pi\)
\(108\) 47466.1 + 59520.6i 0.391583 + 0.491030i
\(109\) 63012.2 + 58466.7i 0.507993 + 0.471349i 0.892035 0.451967i \(-0.149277\pi\)
−0.384041 + 0.923316i \(0.625468\pi\)
\(110\) −67720.8 20889.1i −0.533630 0.164603i
\(111\) −14260.3 + 36334.7i −0.109856 + 0.279907i
\(112\) −25030.5 17065.5i −0.188549 0.128550i
\(113\) −160536. + 77310.0i −1.18270 + 0.569560i −0.918698 0.394961i \(-0.870758\pi\)
−0.264006 + 0.964521i \(0.585044\pi\)
\(114\) −8569.48 + 7951.32i −0.0617579 + 0.0573030i
\(115\) −146385. 22063.9i −1.03217 0.155574i
\(116\) 17503.0 + 233561.i 0.120772 + 1.61160i
\(117\) −11766.0 29979.2i −0.0794626 0.202467i
\(118\) 17577.9 77013.7i 0.116215 0.509170i
\(119\) −3438.42 + 45882.5i −0.0222583 + 0.297016i
\(120\) 31717.7 9783.61i 0.201070 0.0620220i
\(121\) −372903. 179580.i −2.31543 1.11505i
\(122\) 23783.5 + 41194.2i 0.144669 + 0.250574i
\(123\) 11390.9 19729.7i 0.0678886 0.117587i
\(124\) −62338.2 + 42501.4i −0.364083 + 0.248227i
\(125\) 40655.2 + 178122.i 0.232724 + 1.01963i
\(126\) 15093.2 2274.93i 0.0846944 0.0127656i
\(127\) −27157.7 + 34054.6i −0.149411 + 0.187356i −0.850905 0.525320i \(-0.823946\pi\)
0.701493 + 0.712676i \(0.252517\pi\)
\(128\) 178433. 0.962611
\(129\) −56242.8 + 42900.0i −0.297572 + 0.226978i
\(130\) −14404.7 −0.0747561
\(131\) −68607.2 + 86030.7i −0.349294 + 0.438001i −0.925180 0.379529i \(-0.876086\pi\)
0.575885 + 0.817530i \(0.304657\pi\)
\(132\) 126295. 19035.9i 0.630885 0.0950906i
\(133\) −10412.4 45619.7i −0.0510413 0.223627i
\(134\) −3716.44 + 2533.83i −0.0178799 + 0.0121903i
\(135\) 69673.0 120677.i 0.329026 0.569890i
\(136\) −59967.8 103867.i −0.278017 0.481539i
\(137\) −76460.1 36821.3i −0.348043 0.167609i 0.251692 0.967807i \(-0.419013\pi\)
−0.599735 + 0.800199i \(0.704727\pi\)
\(138\) −27619.7 + 8519.56i −0.123459 + 0.0380820i
\(139\) −8081.44 + 107839.i −0.0354774 + 0.473413i 0.950964 + 0.309301i \(0.100095\pi\)
−0.986442 + 0.164112i \(0.947524\pi\)
\(140\) −14022.6 + 61437.0i −0.0604656 + 0.264917i
\(141\) −55138.5 140491.i −0.233565 0.595113i
\(142\) 7304.82 + 97476.0i 0.0304010 + 0.405674i
\(143\) −115556. 17417.3i −0.472555 0.0712263i
\(144\) 112359. 104254.i 0.451545 0.418972i
\(145\) 386249. 186008.i 1.52562 0.734702i
\(146\) 73612.2 + 50188.0i 0.285804 + 0.194858i
\(147\) −32187.2 + 82011.7i −0.122854 + 0.313028i
\(148\) 184587. + 56937.4i 0.692701 + 0.213670i
\(149\) 84347.5 + 78263.1i 0.311248 + 0.288796i 0.820293 0.571944i \(-0.193811\pi\)
−0.509044 + 0.860740i \(0.670001\pi\)
\(150\) 2137.24 + 2680.01i 0.00775576 + 0.00972542i
\(151\) −124317. 155889.i −0.443700 0.556382i 0.508815 0.860876i \(-0.330084\pi\)
−0.952514 + 0.304495i \(0.901512\pi\)
\(152\) 89412.8 + 82963.0i 0.313900 + 0.291256i
\(153\) −222452. 68617.3i −0.768259 0.236976i
\(154\) 20234.8 51557.4i 0.0687539 0.175182i
\(155\) 114102. + 77793.7i 0.381474 + 0.260085i
\(156\) 23389.4 11263.8i 0.0769499 0.0370571i
\(157\) 407190. 377817.i 1.31840 1.22330i 0.361679 0.932303i \(-0.382204\pi\)
0.956724 0.290997i \(-0.0939869\pi\)
\(158\) −15100.0 2275.96i −0.0481210 0.00725307i
\(159\) −2105.22 28092.3i −0.00660398 0.0881240i
\(160\) −91560.5 233292.i −0.282754 0.720444i
\(161\) 25744.6 112795.i 0.0782748 0.342944i
\(162\) −4678.03 + 62424.0i −0.0140048 + 0.186881i
\(163\) −272944. + 84192.1i −0.804645 + 0.248200i −0.669680 0.742650i \(-0.733569\pi\)
−0.134966 + 0.990850i \(0.543092\pi\)
\(164\) −101579. 48917.9i −0.294914 0.142023i
\(165\) −116889. 202458.i −0.334244 0.578927i
\(166\) −11585.0 + 20065.9i −0.0326308 + 0.0565182i
\(167\) −81637.3 + 55659.4i −0.226515 + 0.154435i −0.671260 0.741222i \(-0.734247\pi\)
0.444745 + 0.895657i \(0.353294\pi\)
\(168\) 5772.32 + 25290.2i 0.0157789 + 0.0691320i
\(169\) 343658. 51798.2i 0.925572 0.139507i
\(170\) −64919.9 + 81407.0i −0.172288 + 0.216043i
\(171\) 236750. 0.619155
\(172\) 232513. + 261694.i 0.599274 + 0.674485i
\(173\) −185762. −0.471892 −0.235946 0.971766i \(-0.575819\pi\)
−0.235946 + 0.971766i \(0.575819\pi\)
\(174\) 52187.8 65441.5i 0.130676 0.163863i
\(175\) −13567.7 + 2045.00i −0.0334896 + 0.00504775i
\(176\) −123761. 542234.i −0.301164 1.31949i
\(177\) 215301. 146790.i 0.516551 0.352178i
\(178\) 42755.8 74055.2i 0.101145 0.175188i
\(179\) 196133. + 339713.i 0.457529 + 0.792464i 0.998830 0.0483654i \(-0.0154012\pi\)
−0.541300 + 0.840829i \(0.682068\pi\)
\(180\) −287261. 138338.i −0.660839 0.318243i
\(181\) 19558.4 6032.97i 0.0443749 0.0136878i −0.272488 0.962159i \(-0.587847\pi\)
0.316863 + 0.948471i \(0.397370\pi\)
\(182\) 841.285 11226.2i 0.00188263 0.0251219i
\(183\) −34915.8 + 152976.i −0.0770715 + 0.337672i
\(184\) 110179. + 280732.i 0.239914 + 0.611290i
\(185\) −26422.4 352582.i −0.0567601 0.757411i
\(186\) 26662.0 + 4018.65i 0.0565081 + 0.00851723i
\(187\) −619225. + 574557.i −1.29493 + 1.20151i
\(188\) −672932. + 324067.i −1.38860 + 0.668714i
\(189\) 89979.3 + 61346.9i 0.183226 + 0.124922i
\(190\) 38686.9 98572.6i 0.0777463 0.198094i
\(191\) 176427. + 54420.5i 0.349930 + 0.107939i 0.464737 0.885449i \(-0.346149\pi\)
−0.114807 + 0.993388i \(0.536625\pi\)
\(192\) 64513.3 + 59859.6i 0.126298 + 0.117187i
\(193\) −80895.7 101440.i −0.156326 0.196027i 0.697500 0.716585i \(-0.254296\pi\)
−0.853827 + 0.520557i \(0.825724\pi\)
\(194\) −52043.1 65260.0i −0.0992793 0.124492i
\(195\) −34832.5 32319.9i −0.0655992 0.0608672i
\(196\) 416633. + 128514.i 0.774665 + 0.238952i
\(197\) −145800. + 371493.i −0.267665 + 0.682000i 0.732334 + 0.680946i \(0.238431\pi\)
−0.999999 + 0.00105479i \(0.999664\pi\)
\(198\) 231534. + 157858.i 0.419713 + 0.286156i
\(199\) −673605. + 324391.i −1.20579 + 0.580679i −0.925321 0.379184i \(-0.876205\pi\)
−0.280471 + 0.959863i \(0.590491\pi\)
\(200\) 26218.2 24327.0i 0.0463477 0.0430044i
\(201\) −14672.0 2211.44i −0.0256152 0.00386088i
\(202\) 13635.8 + 181957.i 0.0235127 + 0.313755i
\(203\) 122405. + 311882.i 0.208477 + 0.531191i
\(204\) 41756.5 182947.i 0.0702504 0.307787i
\(205\) −15421.7 + 205788.i −0.0256299 + 0.342007i
\(206\) −314139. + 96899.0i −0.515767 + 0.159093i
\(207\) 527394. + 253979.i 0.855478 + 0.411977i
\(208\) −56523.8 97902.0i −0.0905884 0.156904i
\(209\) 429537. 743981.i 0.680198 1.17814i
\(210\) 18607.4 12686.3i 0.0291164 0.0198512i
\(211\) −165268. 724087.i −0.255554 1.11966i −0.925948 0.377651i \(-0.876732\pi\)
0.670394 0.742005i \(-0.266125\pi\)
\(212\) −137857. + 20778.7i −0.210664 + 0.0317525i
\(213\) −201043. + 252100.i −0.303626 + 0.380735i
\(214\) −238761. −0.356393
\(215\) 290403. 571164.i 0.428455 0.842684i
\(216\) −283872. −0.413988
\(217\) −67291.6 + 84381.0i −0.0970089 + 0.121645i
\(218\) −150328. + 22658.3i −0.214239 + 0.0322913i
\(219\) 65397.4 + 286525.i 0.0921404 + 0.403693i
\(220\) −955904. + 651724.i −1.33155 + 0.907835i
\(221\) −85848.1 + 148693.i −0.118236 + 0.204791i
\(222\) −34516.7 59784.6i −0.0470053 0.0814155i
\(223\) 592426. + 285297.i 0.797759 + 0.384181i 0.787925 0.615771i \(-0.211155\pi\)
0.00983425 + 0.999952i \(0.496870\pi\)
\(224\) 187161. 57731.6i 0.249227 0.0768765i
\(225\) 5187.86 69227.2i 0.00683175 0.0911634i
\(226\) 70123.1 307229.i 0.0913251 0.400121i
\(227\) 289567. + 737804.i 0.372979 + 0.950335i 0.986953 + 0.161009i \(0.0514747\pi\)
−0.613974 + 0.789326i \(0.710430\pi\)
\(228\) 14261.5 + 190307.i 0.0181689 + 0.242447i
\(229\) 178535. + 26909.8i 0.224975 + 0.0339095i 0.260562 0.965457i \(-0.416092\pi\)
−0.0355872 + 0.999367i \(0.511330\pi\)
\(230\) 191927. 178082.i 0.239230 0.221973i
\(231\) 164610. 79271.9i 0.202967 0.0977438i
\(232\) −721590. 491972.i −0.880178 0.600095i
\(233\) −225611. + 574847.i −0.272251 + 0.693685i 0.727718 + 0.685876i \(0.240581\pi\)
−0.999970 + 0.00780882i \(0.997514\pi\)
\(234\) 54427.8 + 16788.8i 0.0649802 + 0.0200437i
\(235\) 1.00216e6 + 929868.i 1.18377 + 1.09838i
\(236\) −804035. 1.00823e6i −0.939713 1.17836i
\(237\) −31407.2 39383.4i −0.0363211 0.0455452i
\(238\) −59652.1 55349.0i −0.0682626 0.0633385i
\(239\) 620992. + 191551.i 0.703220 + 0.216915i 0.625686 0.780075i \(-0.284819\pi\)
0.0775343 + 0.996990i \(0.475295\pi\)
\(240\) 82621.3 210516.i 0.0925900 0.235915i
\(241\) −363183. 247614.i −0.402794 0.274621i 0.344932 0.938628i \(-0.387902\pi\)
−0.747726 + 0.664007i \(0.768854\pi\)
\(242\) 659513. 317605.i 0.723910 0.348617i
\(243\) −621069. + 576268.i −0.674721 + 0.626050i
\(244\) 767852. + 115735.i 0.825664 + 0.124449i
\(245\) −59638.4 795820.i −0.0634762 0.847031i
\(246\) 14720.3 + 37506.7i 0.0155088 + 0.0395158i
\(247\) 38855.2 170236.i 0.0405235 0.177545i
\(248\) 21023.8 280544.i 0.0217061 0.289648i
\(249\) −73035.9 + 22528.6i −0.0746514 + 0.0230269i
\(250\) −291127. 140200.i −0.294600 0.141872i
\(251\) −630143. 1.09144e6i −0.631327 1.09349i −0.987281 0.158987i \(-0.949177\pi\)
0.355953 0.934504i \(-0.384156\pi\)
\(252\) 124589. 215794.i 0.123588 0.214061i
\(253\) 1.75498e6 1.19653e6i 1.72374 1.17522i
\(254\) −17142.0 75104.1i −0.0166716 0.0730431i
\(255\) −339637. + 51192.1i −0.327088 + 0.0493006i
\(256\) 104210. 130675.i 0.0993825 0.124622i
\(257\) 1.55279e6 1.46649 0.733246 0.679964i \(-0.238004\pi\)
0.733246 + 0.679964i \(0.238004\pi\)
\(258\) 2699.30 125075.i 0.00252465 0.116983i
\(259\) 276324. 0.255959
\(260\) −146617. + 183852.i −0.134509 + 0.168669i
\(261\) −1.67622e6 + 252650.i −1.52311 + 0.229571i
\(262\) −43305.1 189732.i −0.0389750 0.170761i
\(263\) 558109. 380512.i 0.497542 0.339218i −0.288409 0.957507i \(-0.593126\pi\)
0.785951 + 0.618289i \(0.212174\pi\)
\(264\) −238123. + 412441.i −0.210277 + 0.364210i
\(265\) 127591. + 220993.i 0.111610 + 0.193315i
\(266\) 74562.0 + 35907.2i 0.0646121 + 0.0311155i
\(267\) 269546. 83144.1i 0.231396 0.0713762i
\(268\) −5487.41 + 73224.4i −0.00466692 + 0.0622757i
\(269\) 182595. 800001.i 0.153854 0.674078i −0.837890 0.545840i \(-0.816211\pi\)
0.991743 0.128238i \(-0.0409321\pi\)
\(270\) 90037.0 + 229411.i 0.0751643 + 0.191516i
\(271\) 21427.4 + 285929.i 0.0177234 + 0.236502i 0.999029 + 0.0440481i \(0.0140255\pi\)
−0.981306 + 0.192454i \(0.938355\pi\)
\(272\) −808028. 121791.i −0.662223 0.0998140i
\(273\) 27222.5 25258.8i 0.0221065 0.0205119i
\(274\) 135227. 65121.8i 0.108814 0.0524023i
\(275\) −208133. 141902.i −0.165962 0.113151i
\(276\) −172387. + 439235.i −0.136217 + 0.347076i
\(277\) −1.63047e6 502934.i −1.27677 0.393833i −0.419060 0.907959i \(-0.637640\pi\)
−0.857715 + 0.514126i \(0.828116\pi\)
\(278\) −140203. 130089.i −0.108804 0.100955i
\(279\) −340463. 426927.i −0.261854 0.328355i
\(280\) −146506. 183712.i −0.111676 0.140037i
\(281\) −72038.2 66841.7i −0.0544248 0.0504988i 0.652492 0.757796i \(-0.273724\pi\)
−0.706916 + 0.707297i \(0.749914\pi\)
\(282\) 255063. + 78676.6i 0.190997 + 0.0589146i
\(283\) −171142. + 436064.i −0.127026 + 0.323656i −0.980212 0.197950i \(-0.936572\pi\)
0.853186 + 0.521606i \(0.174667\pi\)
\(284\) 1.31847e6 + 898916.i 0.970004 + 0.661338i
\(285\) 314717. 151560.i 0.229514 0.110528i
\(286\) 151507. 140578.i 0.109526 0.101626i
\(287\) −159478. 24037.4i −0.114287 0.0172259i
\(288\) 74055.4 + 988201.i 0.0526109 + 0.702044i
\(289\) −65310.1 166407.i −0.0459976 0.117200i
\(290\) −168716. + 739193.i −0.117804 + 0.516135i
\(291\) 20576.6 274576.i 0.0142443 0.190077i
\(292\) 1.38982e6 428702.i 0.953896 0.294238i
\(293\) 774863. + 373154.i 0.527298 + 0.253933i 0.678540 0.734564i \(-0.262613\pi\)
−0.151242 + 0.988497i \(0.548327\pi\)
\(294\) −77908.2 134941.i −0.0525672 0.0910490i
\(295\) −1.18020e6 + 2.04417e6i −0.789589 + 1.36761i
\(296\) −595127. + 405751.i −0.394803 + 0.269172i
\(297\) 444896. + 1.94922e6i 0.292663 + 1.28224i
\(298\) −201228. + 30330.2i −0.131264 + 0.0197849i
\(299\) 269180. 337541.i 0.174127 0.218348i
\(300\) 55959.5 0.0358980
\(301\) 428170. + 259680.i 0.272396 + 0.165205i
\(302\) 352639. 0.222491
\(303\) −375283. + 470590.i −0.234829 + 0.294467i
\(304\) 821757. 123860.i 0.509987 0.0768682i
\(305\) −316277. 1.38570e6i −0.194678 0.852941i
\(306\) 340178. 231929.i 0.207684 0.141596i
\(307\) −623888. + 1.08061e6i −0.377799 + 0.654367i −0.990742 0.135761i \(-0.956652\pi\)
0.612943 + 0.790127i \(0.289986\pi\)
\(308\) −452086. 783036.i −0.271546 0.470332i
\(309\) −977041. 470518.i −0.582126 0.280337i
\(310\) −233389. + 71991.0i −0.137936 + 0.0425475i
\(311\) 40494.7 540365.i 0.0237409 0.316801i −0.972672 0.232182i \(-0.925414\pi\)
0.996413 0.0846190i \(-0.0269673\pi\)
\(312\) −21540.1 + 94373.6i −0.0125274 + 0.0548863i
\(313\) −925071. 2.35704e6i −0.533721 1.35990i −0.902624 0.430431i \(-0.858362\pi\)
0.368903 0.929468i \(-0.379734\pi\)
\(314\) 73415.2 + 979658.i 0.0420206 + 0.560726i
\(315\) −450995. 67976.6i −0.256092 0.0385996i
\(316\) −182743. + 169560.i −0.102949 + 0.0955228i
\(317\) 2.12430e6 1.02301e6i 1.18732 0.571784i 0.267286 0.963617i \(-0.413873\pi\)
0.920036 + 0.391833i \(0.128159\pi\)
\(318\) 41165.8 + 28066.4i 0.0228280 + 0.0155639i
\(319\) −2.24724e6 + 5.72587e6i −1.23644 + 3.15039i
\(320\) −761770. 234975.i −0.415862 0.128276i
\(321\) −577356. 535708.i −0.312738 0.290179i
\(322\) 127577. + 159977.i 0.0685699 + 0.0859839i
\(323\) −786956. 986812.i −0.419705 0.526294i
\(324\) 749122. + 695084.i 0.396451 + 0.367853i
\(325\) −48926.6 15091.9i −0.0256943 0.00792564i
\(326\) 184559. 470249.i 0.0961816 0.245067i
\(327\) −414351. 282500.i −0.214288 0.146099i
\(328\) 378767. 182405.i 0.194396 0.0936163i
\(329\) −783212. + 726714.i −0.398923 + 0.370147i
\(330\) 408840. + 61622.7i 0.206666 + 0.0311498i
\(331\) −280005. 3.73640e6i −0.140474 1.87449i −0.410804 0.911724i \(-0.634752\pi\)
0.270330 0.962768i \(-0.412867\pi\)
\(332\) 138190. + 352102.i 0.0688068 + 0.175317i
\(333\) −311100. + 1.36302e6i −0.153741 + 0.673582i
\(334\) 13058.9 174259.i 0.00640531 0.0854729i
\(335\) 128433. 39616.3i 0.0625265 0.0192869i
\(336\) 159238. + 76684.8i 0.0769480 + 0.0370562i
\(337\) 621446. + 1.07638e6i 0.298077 + 0.516285i 0.975696 0.219128i \(-0.0703214\pi\)
−0.677619 + 0.735413i \(0.736988\pi\)
\(338\) −307328. + 532308.i −0.146322 + 0.253438i
\(339\) 858897. 585586.i 0.405921 0.276752i
\(340\) 378242. + 1.65719e6i 0.177448 + 0.777453i
\(341\) −1.95932e6 + 295319.i −0.912470 + 0.137533i
\(342\) −261064. + 327364.i −0.120693 + 0.151344i
\(343\) 1.31784e6 0.604823
\(344\) −1.30347e6 + 69438.7i −0.593890 + 0.0316377i
\(345\) 863667. 0.390660
\(346\) 204840. 256861.i 0.0919867 0.115348i
\(347\) −2.94164e6 + 443380.i −1.31149 + 0.197675i −0.767301 0.641287i \(-0.778401\pi\)
−0.544190 + 0.838962i \(0.683163\pi\)
\(348\) −304061. 1.33218e6i −0.134590 0.589677i
\(349\) −2.98761e6 + 2.03692e6i −1.31299 + 0.895180i −0.998536 0.0540937i \(-0.982773\pi\)
−0.314452 + 0.949273i \(0.601821\pi\)
\(350\) 12133.4 21015.6i 0.00529433 0.00917005i
\(351\) 203191. + 351938.i 0.0880313 + 0.152475i
\(352\) 3.23976e6 + 1.56019e6i 1.39366 + 0.671150i
\(353\) 3.42196e6 1.05553e6i 1.46163 0.450854i 0.540912 0.841079i \(-0.318079\pi\)
0.920719 + 0.390226i \(0.127603\pi\)
\(354\) −34440.1 + 459571.i −0.0146068 + 0.194915i
\(355\) 649943. 2.84759e6i 0.273719 1.19924i
\(356\) −510004. 1.29947e6i −0.213279 0.543426i
\(357\) −20060.0 267682.i −0.00833030 0.111160i
\(358\) −686011. 103400.i −0.282894 0.0426394i
\(359\) 3.26524e6 3.02970e6i 1.33715 1.24069i 0.389636 0.920969i \(-0.372601\pi\)
0.947511 0.319722i \(-0.103590\pi\)
\(360\) 1.07114e6 515832.i 0.435600 0.209774i
\(361\) −985268. 671744.i −0.397911 0.271291i
\(362\) −13225.0 + 33696.8i −0.00530426 + 0.0135150i
\(363\) 2.30740e6 + 711738.i 0.919085 + 0.283500i
\(364\) −134720. 125002.i −0.0532941 0.0494497i
\(365\) −1.65983e6 2.08136e6i −0.652127 0.817741i
\(366\) −173025. 216966.i −0.0675157 0.0846621i
\(367\) 2.66821e6 + 2.47574e6i 1.03408 + 0.959489i 0.999204 0.0399024i \(-0.0127047\pi\)
0.0348798 + 0.999392i \(0.488895\pi\)
\(368\) 1.96345e6 + 605646.i 0.755790 + 0.233130i
\(369\) 298116. 759588.i 0.113978 0.290410i
\(370\) 516666. + 352257.i 0.196203 + 0.133769i
\(371\) −179680. + 86529.5i −0.0677744 + 0.0326384i
\(372\) 322668. 299392.i 0.120892 0.112172i
\(373\) 1.01118e6 + 152410.i 0.376318 + 0.0567208i 0.334478 0.942404i \(-0.391440\pi\)
0.0418397 + 0.999124i \(0.486678\pi\)
\(374\) −111644. 1.48979e6i −0.0412723 0.550740i
\(375\) −389419. 992222.i −0.143001 0.364360i
\(376\) 619727. 2.71520e6i 0.226064 0.990450i
\(377\) −93431.5 + 1.24676e6i −0.0338563 + 0.451781i
\(378\) −184047. + 56771.0i −0.0662520 + 0.0204360i
\(379\) −2.23496e6 1.07630e6i −0.799229 0.384888i −0.0107437 0.999942i \(-0.503420\pi\)
−0.788485 + 0.615054i \(0.789134\pi\)
\(380\) −864342. 1.49708e6i −0.307062 0.531848i
\(381\) 127059. 220073.i 0.0448429 0.0776702i
\(382\) −269795. + 183943.i −0.0945967 + 0.0644949i
\(383\) −33522.7 146872.i −0.0116773 0.0511615i 0.968754 0.248025i \(-0.0797815\pi\)
−0.980431 + 0.196864i \(0.936924\pi\)
\(384\) −1.02937e6 + 155152.i −0.356240 + 0.0536946i
\(385\) −1.03186e6 + 1.29391e6i −0.354788 + 0.444890i
\(386\) 229469. 0.0783891
\(387\) −1.76297e6 + 1.81966e6i −0.598367 + 0.617608i
\(388\) −1.36265e6 −0.459520
\(389\) −680517. + 853342.i −0.228016 + 0.285923i −0.882658 0.470016i \(-0.844248\pi\)
0.654642 + 0.755939i \(0.272819\pi\)
\(390\) 83099.8 12525.3i 0.0276655 0.00416991i
\(391\) −694429. 3.04249e6i −0.229713 1.00644i
\(392\) −1.34327e6 + 915827.i −0.441518 + 0.301022i
\(393\) 320984. 555961.i 0.104834 0.181578i
\(394\) −352905. 611249.i −0.114529 0.198371i
\(395\) 411108. + 197979.i 0.132575 + 0.0638449i
\(396\) 4.37143e6 1.34841e6i 1.40083 0.432099i
\(397\) 218154. 2.91106e6i 0.0694682 0.926989i −0.848209 0.529662i \(-0.822319\pi\)
0.917677 0.397327i \(-0.130062\pi\)
\(398\) 294235. 1.28913e6i 0.0931079 0.407932i
\(399\) 99735.9 + 254123.i 0.0313631 + 0.0799119i
\(400\) −18210.4 243001.i −0.00569076 0.0759379i
\(401\) 857692. + 129276.i 0.266361 + 0.0401474i 0.280865 0.959747i \(-0.409379\pi\)
−0.0145038 + 0.999895i \(0.504617\pi\)
\(402\) 19236.6 17849.0i 0.00593696 0.00550869i
\(403\) −362860. + 174744.i −0.111295 + 0.0535970i
\(404\) 2.46116e6 + 1.67799e6i 0.750217 + 0.511489i
\(405\) 683371. 1.74120e6i 0.207023 0.527487i
\(406\) −566228. 174658.i −0.170481 0.0525865i
\(407\) 3.71882e6 + 3.45056e6i 1.11280 + 1.03253i
\(408\) 436265. + 547059.i 0.129748 + 0.162699i
\(409\) 2.34102e6 + 2.93555e6i 0.691986 + 0.867723i 0.996396 0.0848182i \(-0.0270310\pi\)
−0.304411 + 0.952541i \(0.598460\pi\)
\(410\) −267546. 248246.i −0.0786028 0.0729328i
\(411\) 473110. + 145935.i 0.138152 + 0.0426143i
\(412\) −1.96068e6 + 4.99573e6i −0.569067 + 1.44996i
\(413\) −1.52417e6 1.03916e6i −0.439703 0.299784i
\(414\) −932745. + 449186.i −0.267462 + 0.128803i
\(415\) 507520. 470910.i 0.144655 0.134220i
\(416\) 722723. + 108933.i 0.204757 + 0.0308621i
\(417\) −47147.8 629144.i −0.0132777 0.177178i
\(418\) 555082. + 1.41433e6i 0.155388 + 0.395921i
\(419\) −368982. + 1.61662e6i −0.102676 + 0.449854i 0.897288 + 0.441445i \(0.145534\pi\)
−0.999965 + 0.00840939i \(0.997323\pi\)
\(420\) 27474.3 366618.i 0.00759981 0.101412i
\(421\) −5.33470e6 + 1.64554e6i −1.46691 + 0.452483i −0.922389 0.386261i \(-0.873766\pi\)
−0.544525 + 0.838744i \(0.683290\pi\)
\(422\) 1.18347e6 + 569927.i 0.323500 + 0.155790i
\(423\) −2.70286e6 4.68149e6i −0.734468 1.27214i
\(424\) 259924. 450201.i 0.0702152 0.121616i
\(425\) −305795. + 208487.i −0.0821217 + 0.0559896i
\(426\) −126899. 555980.i −0.0338792 0.148435i
\(427\) 1.09840e6 165557.i 0.291535 0.0439418i
\(428\) −2.43021e6 + 3.04739e6i −0.641260 + 0.804115i
\(429\) 681779. 0.178855
\(430\) 469545. + 1.03137e6i 0.122463 + 0.268996i
\(431\) −3.68880e6 −0.956516 −0.478258 0.878219i \(-0.658732\pi\)
−0.478258 + 0.878219i \(0.658732\pi\)
\(432\) −1.20589e6 + 1.51214e6i −0.310884 + 0.389836i
\(433\) −1.17294e6 + 176792.i −0.300645 + 0.0453150i −0.297633 0.954680i \(-0.596197\pi\)
−0.00301267 + 0.999995i \(0.500959\pi\)
\(434\) −42474.7 186094.i −0.0108244 0.0474250i
\(435\) −2.06650e6 + 1.40892e6i −0.523616 + 0.356995i
\(436\) −1.24090e6 + 2.14931e6i −0.312623 + 0.541480i
\(437\) 1.58688e6 + 2.74856e6i 0.397503 + 0.688495i
\(438\) −468303. 225523.i −0.116638 0.0561701i
\(439\) −429729. + 132554.i −0.106423 + 0.0328270i −0.347509 0.937677i \(-0.612972\pi\)
0.241087 + 0.970504i \(0.422496\pi\)
\(440\) 322383. 4.30190e6i 0.0793853 1.05932i
\(441\) −702188. + 3.07649e6i −0.171932 + 0.753284i
\(442\) −110940. 282670.i −0.0270104 0.0688215i
\(443\) 280652. + 3.74504e6i 0.0679452 + 0.906665i 0.922176 + 0.386771i \(0.126410\pi\)
−0.854231 + 0.519894i \(0.825971\pi\)
\(444\) −1.11437e6 167965.i −0.268271 0.0404353i
\(445\) −1.87305e6 + 1.73794e6i −0.448384 + 0.416040i
\(446\) −1.04776e6 + 504575.i −0.249416 + 0.120113i
\(447\) −554646. 378152.i −0.131295 0.0895153i
\(448\) 227615. 579954.i 0.0535804 0.136521i
\(449\) 3.05102e6 + 941116.i 0.714216 + 0.220306i 0.630507 0.776184i \(-0.282847\pi\)
0.0837092 + 0.996490i \(0.473323\pi\)
\(450\) 90002.7 + 83510.3i 0.0209519 + 0.0194406i
\(451\) −1.84611e6 2.31495e6i −0.427382 0.535921i
\(452\) −3.20752e6 4.02211e6i −0.738454 0.925993i
\(453\) 852726. + 791214.i 0.195238 + 0.181154i
\(454\) −1.33950e6 413180.i −0.305002 0.0940806i
\(455\) −122896. + 313133.i −0.0278297 + 0.0709089i
\(456\) −587954. 400861.i −0.132413 0.0902778i
\(457\) 6.88233e6 3.31436e6i 1.54150 0.742350i 0.546065 0.837743i \(-0.316125\pi\)
0.995440 + 0.0953929i \(0.0304108\pi\)
\(458\) −234080. + 217194.i −0.0521435 + 0.0483821i
\(459\) 2.90469e6 + 437812.i 0.643530 + 0.0969965i
\(460\) −319409. 4.26222e6i −0.0703805 0.939163i
\(461\) 3.08893e6 + 7.87046e6i 0.676948 + 1.72484i 0.688847 + 0.724907i \(0.258117\pi\)
−0.0118984 + 0.999929i \(0.503787\pi\)
\(462\) −71902.6 + 315026.i −0.0156725 + 0.0686659i
\(463\) 547157. 7.30130e6i 0.118620 1.58288i −0.547351 0.836903i \(-0.684364\pi\)
0.665972 0.745977i \(-0.268017\pi\)
\(464\) −5.68598e6 + 1.75389e6i −1.22606 + 0.378188i
\(465\) −725892. 349571.i −0.155682 0.0749727i
\(466\) −546084. 945845.i −0.116492 0.201769i
\(467\) −373422. + 646785.i −0.0792332 + 0.137236i −0.902919 0.429810i \(-0.858581\pi\)
0.823686 + 0.567046i \(0.191914\pi\)
\(468\) 768268. 523796.i 0.162143 0.110547i
\(469\) 23373.6 + 102406.i 0.00490674 + 0.0214979i
\(470\) −2.39085e6 + 360362.i −0.499238 + 0.0752480i
\(471\) −2.02053e6 + 2.53366e6i −0.419675 + 0.526255i
\(472\) 4.80855e6 0.993479
\(473\) 2.51966e6 + 8.84153e6i 0.517833 + 1.81708i
\(474\) 89089.8 0.0182130
\(475\) 234677. 294276.i 0.0477240 0.0598440i
\(476\) −1.31360e6 + 197993.i −0.265733 + 0.0400528i
\(477\) −224528. 983723.i −0.0451830 0.197960i
\(478\) −949633. + 647449.i −0.190102 + 0.129609i
\(479\) 2.29038e6 3.96706e6i 0.456109 0.790005i −0.542642 0.839964i \(-0.682576\pi\)
0.998751 + 0.0499596i \(0.0159093\pi\)
\(480\) 731059. + 1.26623e6i 0.144827 + 0.250848i
\(481\) 929024. + 447394.i 0.183090 + 0.0881714i
\(482\) 742869. 229145.i 0.145645 0.0449254i
\(483\) −50441.1 + 673089.i −0.00983822 + 0.131282i
\(484\) 2.65910e6 1.16503e7i 0.515966 2.26060i
\(485\) 911219. + 2.32175e6i 0.175901 + 0.448189i
\(486\) −111977. 1.49423e6i −0.0215049 0.286963i
\(487\) 6.02776e6 + 908538.i 1.15168 + 0.173588i 0.697005 0.717067i \(-0.254516\pi\)
0.454679 + 0.890655i \(0.349754\pi\)
\(488\) −2.12255e6 + 1.96944e6i −0.403468 + 0.374363i
\(489\) 1.50139e6 723029.i 0.283936 0.136736i
\(490\) 1.16618e6 + 795085.i 0.219419 + 0.149597i
\(491\) 889713. 2.26695e6i 0.166551 0.424364i −0.823094 0.567906i \(-0.807754\pi\)
0.989644 + 0.143542i \(0.0458491\pi\)
\(492\) 628538. + 193878.i 0.117063 + 0.0361091i
\(493\) 6.62485e6 + 6.14696e6i 1.22760 + 1.13905i
\(494\) 192546. + 241445.i 0.0354991 + 0.0445145i
\(495\) −5.22072e6 6.54657e6i −0.957673 1.20088i
\(496\) −1.40510e6 1.30374e6i −0.256450 0.237951i
\(497\) 2.18128e6 + 672834.i 0.396113 + 0.122185i
\(498\) 49385.5 125832.i 0.00892330 0.0227362i
\(499\) 4.88145e6 + 3.32812e6i 0.877602 + 0.598339i 0.916113 0.400919i \(-0.131309\pi\)
−0.0385114 + 0.999258i \(0.512262\pi\)
\(500\) −4.75262e6 + 2.28874e6i −0.850175 + 0.409422i
\(501\) 422562. 392080.i 0.0752136 0.0697880i
\(502\) 2.20404e6 + 332205.i 0.390355 + 0.0588365i
\(503\) −713858. 9.52577e6i −0.125803 1.67873i −0.601310 0.799016i \(-0.705354\pi\)
0.475507 0.879712i \(-0.342265\pi\)
\(504\) 339450. + 864904.i 0.0595250 + 0.151667i
\(505\) 1.21324e6 5.31555e6i 0.211698 0.927512i
\(506\) −280731. + 3.74609e6i −0.0487432 + 0.650433i
\(507\) −1.93750e6 + 597639.i −0.334751 + 0.103257i
\(508\) −1.13306e6 545651.i −0.194801 0.0938114i
\(509\) −5.39862e6 9.35069e6i −0.923609 1.59974i −0.793782 0.608202i \(-0.791891\pi\)
−0.129827 0.991537i \(-0.541442\pi\)
\(510\) 303733. 526080.i 0.0517090 0.0895626i
\(511\) 1.71903e6 1.17201e6i 0.291226 0.198555i
\(512\) 1.33634e6 + 5.85490e6i 0.225291 + 0.987062i
\(513\) −2.95405e6 + 445251.i −0.495592 + 0.0746984i
\(514\) −1.71226e6 + 2.14711e6i −0.285866 + 0.358464i
\(515\) 9.82310e6 1.63204
\(516\) −1.56890e6 1.30752e6i −0.259400 0.216184i
\(517\) −1.96153e7 −3.22752
\(518\) −304703. + 382085.i −0.0498944 + 0.0625656i
\(519\) 1.07165e6 161525.i 0.174636 0.0263222i
\(520\) −195117. 854862.i −0.0316436 0.138640i
\(521\) −594077. + 405035.i −0.0958845 + 0.0653730i −0.610313 0.792160i \(-0.708956\pi\)
0.514429 + 0.857533i \(0.328004\pi\)
\(522\) 1.49902e6 2.59638e6i 0.240786 0.417053i
\(523\) −3.85740e6 6.68121e6i −0.616652 1.06807i −0.990092 0.140418i \(-0.955155\pi\)
0.373440 0.927654i \(-0.378178\pi\)
\(524\) −2.86239e6 1.37845e6i −0.455407 0.219313i
\(525\) 76492.7 23594.9i 0.0121122 0.00373611i
\(526\) −89276.4 + 1.19131e6i −0.0140693 + 0.187742i
\(527\) −647804. + 2.83821e6i −0.101605 + 0.445162i
\(528\) 1.18546e6 + 3.02049e6i 0.185055 + 0.471512i
\(529\) 105427. + 1.40682e6i 0.0163799 + 0.218575i
\(530\) −446271. 67264.5i −0.0690095 0.0104015i
\(531\) 6.84184e6 6.34830e6i 1.05302 0.977059i
\(532\) 1.21722e6 586181.i 0.186461 0.0897950i
\(533\) −497257. 339024.i −0.0758164 0.0516908i
\(534\) −182262. + 464396.i −0.0276594 + 0.0704750i
\(535\) 6.81740e6 + 2.10289e6i 1.02976 + 0.317638i
\(536\) −200713. 186234.i −0.0301761 0.0279993i
\(537\) −1.42687e6 1.78924e6i −0.213525 0.267751i
\(538\) 904847. + 1.13464e6i 0.134778 + 0.169007i
\(539\) 8.39380e6 + 7.78831e6i 1.24448 + 1.15471i
\(540\) 3.84447e6 + 1.18586e6i 0.567352 + 0.175005i
\(541\) 56923.9 145040.i 0.00836183 0.0213056i −0.926632 0.375970i \(-0.877310\pi\)
0.934994 + 0.354664i \(0.115405\pi\)
\(542\) −418993. 285665.i −0.0612645 0.0417694i
\(543\) −107585. + 51810.3i −0.0156586 + 0.00754078i
\(544\) 3.87282e6 3.59346e6i 0.561087 0.520613i
\(545\) 4.49190e6 + 677045.i 0.647797 + 0.0976397i
\(546\) 4908.13 + 65494.5i 0.000704587 + 0.00940206i
\(547\) −3.04690e6 7.76338e6i −0.435402 1.10939i −0.965258 0.261298i \(-0.915849\pi\)
0.529856 0.848087i \(-0.322246\pi\)
\(548\) 545223. 2.38878e6i 0.0775573 0.339801i
\(549\) −419994. + 5.60444e6i −0.0594720 + 0.793599i
\(550\) 425722. 131318.i 0.0600094 0.0185104i
\(551\) −8.28072e6 3.98778e6i −1.16195 0.559568i
\(552\) −879719. 1.52372e6i −0.122884 0.212842i
\(553\) −178303. + 308830.i −0.0247939 + 0.0429443i
\(554\) 2.49335e6 1.69994e6i 0.345151 0.235320i
\(555\) 459008. + 2.01105e6i 0.0632540 + 0.277134i
\(556\) −3.08740e6 + 465351.i −0.423552 + 0.0638401i
\(557\) −3.01185e6 + 3.77674e6i −0.411335 + 0.515797i −0.943738 0.330693i \(-0.892717\pi\)
0.532404 + 0.846491i \(0.321289\pi\)
\(558\) 965759. 0.131306
\(559\) 1.01909e6 + 1.56631e6i 0.137938 + 0.212006i
\(560\) −1.60096e6 −0.215731
\(561\) 3.07267e6 3.85301e6i 0.412201 0.516884i
\(562\) 171861. 25903.9i 0.0229529 0.00345959i
\(563\) −259889. 1.13865e6i −0.0345554 0.151397i 0.954707 0.297548i \(-0.0961688\pi\)
−0.989262 + 0.146151i \(0.953312\pi\)
\(564\) 3.60031e6 2.45465e6i 0.476587 0.324932i
\(565\) −4.70816e6 + 8.15477e6i −0.620483 + 1.07471i
\(566\) −414245. 717493.i −0.0543521 0.0941405i
\(567\) 1.31707e6 + 634270.i 0.172049 + 0.0828546i
\(568\) −5.68585e6 + 1.75385e6i −0.739477 + 0.228099i
\(569\) −1.10451e6 + 1.47387e7i −0.143017 + 1.90843i 0.218121 + 0.975922i \(0.430007\pi\)
−0.361138 + 0.932512i \(0.617612\pi\)
\(570\) −137470. + 602297.i −0.0177224 + 0.0776468i
\(571\) −2.29474e6 5.84691e6i −0.294540 0.750475i −0.999163 0.0408938i \(-0.986979\pi\)
0.704624 0.709581i \(-0.251116\pi\)
\(572\) −252142. 3.36459e6i −0.0322221 0.429974i
\(573\) −1.06511e6 160540.i −0.135522 0.0204266i
\(574\) 209093. 194010.i 0.0264887 0.0245779i
\(575\) 838469. 403786.i 0.105759 0.0509309i
\(576\) 2.60446e6 + 1.77569e6i 0.327086 + 0.223003i
\(577\) −4.04477e6 + 1.03059e7i −0.505772 + 1.28869i 0.418939 + 0.908015i \(0.362402\pi\)
−0.924711 + 0.380671i \(0.875693\pi\)
\(578\) 302116. + 93190.4i 0.0376144 + 0.0116025i
\(579\) 554886. + 514859.i 0.0687872 + 0.0638252i
\(580\) 7.71729e6 + 9.67718e6i 0.952566 + 1.19448i
\(581\) 337357. + 423033.i 0.0414619 + 0.0519916i
\(582\) 356978. + 331227.i 0.0436852 + 0.0405339i
\(583\) −3.49869e6 1.07920e6i −0.426319 0.131502i
\(584\) −1.98135e6 + 5.04839e6i −0.240397 + 0.612521i
\(585\) −1.40622e6 958745.i −0.169888 0.115828i
\(586\) −1.37042e6 + 659958.i −0.164858 + 0.0793912i
\(587\) −1.36477e6 + 1.26632e6i −0.163480 + 0.151687i −0.757671 0.652637i \(-0.773663\pi\)
0.594191 + 0.804324i \(0.297472\pi\)
\(588\) −2.51527e6 379116.i −0.300014 0.0452199i
\(589\) −221251. 2.95239e6i −0.0262783 0.350659i
\(590\) −1.52515e6 3.88602e6i −0.180378 0.459595i
\(591\) 518088. 2.26989e6i 0.0610147 0.267323i
\(592\) −366738. + 4.89378e6i −0.0430082 + 0.573905i
\(593\) −3.55303e6 + 1.09596e6i −0.414918 + 0.127985i −0.495184 0.868788i \(-0.664899\pi\)
0.0802660 + 0.996773i \(0.474423\pi\)
\(594\) −3.18585e6 1.53423e6i −0.370476 0.178412i
\(595\) 1.21577e6 + 2.10578e6i 0.140786 + 0.243848i
\(596\) −1.66106e6 + 2.87704e6i −0.191545 + 0.331765i
\(597\) 3.60391e6 2.45710e6i 0.413845 0.282155i
\(598\) 169907. + 744413.i 0.0194294 + 0.0851258i
\(599\) −2.36596e6 + 356612.i −0.269427 + 0.0406096i −0.282366 0.959307i \(-0.591119\pi\)
0.0129391 + 0.999916i \(0.495881\pi\)
\(600\) −130098. + 163138.i −0.0147534 + 0.0185002i
\(601\) 1.42641e7 1.61086 0.805431 0.592690i \(-0.201934\pi\)
0.805431 + 0.592690i \(0.201934\pi\)
\(602\) −831213. + 305699.i −0.0934806 + 0.0343798i
\(603\) −531452. −0.0595211
\(604\) 3.58930e6 4.50084e6i 0.400329 0.501997i
\(605\) −2.16285e7 + 3.25997e6i −2.40236 + 0.362097i
\(606\) −236880. 1.03784e6i −0.0262028 0.114802i
\(607\) −1.03948e7 + 7.08707e6i −1.14510 + 0.780719i −0.978691 0.205337i \(-0.934171\pi\)
−0.166414 + 0.986056i \(0.553219\pi\)
\(608\) −2.68646e6 + 4.65308e6i −0.294728 + 0.510484i
\(609\) −977334. 1.69279e6i −0.106782 0.184953i
\(610\) 2.26482e6 + 1.09068e6i 0.246439 + 0.118679i
\(611\) −3.80984e6 + 1.17518e6i −0.412860 + 0.127351i
\(612\) 502280. 6.70246e6i 0.0542085 0.723362i
\(613\) 2.07434e6 9.08826e6i 0.222961 0.976854i −0.732275 0.681009i \(-0.761542\pi\)
0.955236 0.295845i \(-0.0956013\pi\)
\(614\) −806237. 2.05426e6i −0.0863062 0.219905i
\(615\) −89971.3 1.20058e6i −0.00959215 0.127998i
\(616\) 3.33381e6 + 502491.i 0.353988 + 0.0533552i
\(617\) 1.26827e7 1.17679e7i 1.34122 1.24447i 0.395915 0.918287i \(-0.370427\pi\)
0.945306 0.326185i \(-0.105763\pi\)
\(618\) 1.72799e6 832155.i 0.181999 0.0876462i
\(619\) −3.49333e6 2.38171e6i −0.366449 0.249841i 0.366070 0.930587i \(-0.380703\pi\)
−0.732519 + 0.680747i \(0.761655\pi\)
\(620\) −1.45668e6 + 3.71157e6i −0.152190 + 0.387774i
\(621\) −7.05822e6 2.17717e6i −0.734456 0.226550i
\(622\) 702531. + 651854.i 0.0728098 + 0.0675576i
\(623\) −1.24505e6 1.56124e6i −0.128519 0.161158i
\(624\) 411210. + 515641.i 0.0422768 + 0.0530134i
\(625\) 6.31676e6 + 5.86110e6i 0.646837 + 0.600177i
\(626\) 4.27926e6 + 1.31998e6i 0.436448 + 0.134626i
\(627\) −1.83106e6 + 4.66546e6i −0.186009 + 0.473943i
\(628\) 1.32509e7 + 9.03433e6i 1.34075 + 0.914107i
\(629\) 6.71537e6 3.23395e6i 0.676774 0.325917i
\(630\) 591306. 548652.i 0.0593555 0.0550738i
\(631\) −3.43900e6 518345.i −0.343842 0.0518258i −0.0251485 0.999684i \(-0.508006\pi\)
−0.318693 + 0.947858i \(0.603244\pi\)
\(632\) −69465.4 926952.i −0.00691793 0.0923134i
\(633\) 1.58303e6 + 4.03350e6i 0.157029 + 0.400104i
\(634\) −927910. + 4.06544e6i −0.0916817 + 0.401684i
\(635\) −172019. + 2.29544e6i −0.0169295 + 0.225908i
\(636\) 777221. 239741.i 0.0761907 0.0235017i
\(637\) 2.09692e6 + 1.00982e6i 0.204754 + 0.0986043i
\(638\) −5.43937e6 9.42127e6i −0.529050 0.916342i
\(639\) −5.77466e6 + 1.00020e7i −0.559466 + 0.969024i
\(640\) 7.79112e6 5.31190e6i 0.751883 0.512625i
\(641\) 1.99545e6 + 8.74262e6i 0.191821 + 0.840421i 0.975631 + 0.219420i \(0.0704165\pi\)
−0.783810 + 0.621001i \(0.786726\pi\)
\(642\) 1.37740e6 207609.i 0.131893 0.0198797i
\(643\) −8.01684e6 + 1.00528e7i −0.764673 + 0.958869i −0.999915 0.0130676i \(-0.995840\pi\)
0.235242 + 0.971937i \(0.424412\pi\)
\(644\) 3.34036e6 0.317380
\(645\) −1.17867e6 + 3.54752e6i −0.111556 + 0.335757i
\(646\) 2.23228e6 0.210459
\(647\) 6.79741e6 8.52368e6i 0.638385 0.800510i −0.352415 0.935844i \(-0.614639\pi\)
0.990800 + 0.135334i \(0.0432108\pi\)
\(648\) −3.76797e6 + 567931.i −0.352509 + 0.0531322i
\(649\) −7.53617e6 3.30181e7i −0.702326 3.07709i
\(650\) 74819.5 51011.1i 0.00694595 0.00473567i
\(651\) 314829. 545299.i 0.0291153 0.0504292i
\(652\) −4.12342e6 7.14198e6i −0.379873 0.657960i
\(653\) 7.38661e6 + 3.55721e6i 0.677895 + 0.326457i 0.740957 0.671553i \(-0.234372\pi\)
−0.0630619 + 0.998010i \(0.520087\pi\)
\(654\) 847528. 261428.i 0.0774836 0.0239005i
\(655\) −434565. + 5.79886e6i −0.0395778 + 0.528129i
\(656\) 637367. 2.79249e6i 0.0578269 0.253356i
\(657\) 3.84579e6 + 9.79890e6i 0.347594 + 0.885654i
\(658\) −141211. 1.88433e6i −0.0127146 0.169665i
\(659\) −1.36252e7 2.05366e6i −1.22216 0.184211i −0.493904 0.869517i \(-0.664430\pi\)
−0.728256 + 0.685306i \(0.759669\pi\)
\(660\) 4.94785e6 4.59093e6i 0.442136 0.410243i
\(661\) 4.70313e6 2.26491e6i 0.418681 0.201626i −0.212669 0.977124i \(-0.568215\pi\)
0.631350 + 0.775498i \(0.282501\pi\)
\(662\) 5.47524e6 + 3.73295e6i 0.485577 + 0.331061i
\(663\) 365959. 932448.i 0.0323332 0.0823836i
\(664\) −1.34775e6 415726.i −0.118629 0.0365921i
\(665\) −1.81273e6 1.68197e6i −0.158957 0.147490i
\(666\) −1.54165e6 1.93317e6i −0.134679 0.168882i
\(667\) −1.41685e7 1.77667e7i −1.23313 1.54630i
\(668\) −2.09120e6 1.94035e6i −0.181324 0.168244i
\(669\) −3.66573e6 1.13073e6i −0.316662 0.0976773i
\(670\) −86843.8 + 221274.i −0.00747397 + 0.0190434i
\(671\) 1.68498e7 + 1.14880e7i 1.44474 + 0.985005i
\(672\) −1.02952e6 + 495791.i −0.0879451 + 0.0423521i
\(673\) 7.84921e6 7.28301e6i 0.668018 0.619831i −0.271455 0.962451i \(-0.587505\pi\)
0.939474 + 0.342620i \(0.111314\pi\)
\(674\) −2.17362e6 327620.i −0.184304 0.0277793i
\(675\) 65462.8 + 873540.i 0.00553012 + 0.0737944i
\(676\) 3.66591e6 + 9.34058e6i 0.308542 + 0.786153i
\(677\) 5.20744e6 2.28153e7i 0.436669 1.91317i 0.0301165 0.999546i \(-0.490412\pi\)
0.406553 0.913627i \(-0.366731\pi\)
\(678\) −137391. + 1.83336e6i −0.0114785 + 0.153170i
\(679\) −1.86265e6 + 574551.i −0.155044 + 0.0478249i
\(680\) −5.71053e6 2.75005e6i −0.473592 0.228070i
\(681\) −2.31203e6 4.00455e6i −0.191041 0.330892i
\(682\) 1.75219e6 3.03488e6i 0.144251 0.249850i
\(683\) 1.68319e7 1.14758e7i 1.38064 0.941307i 0.380782 0.924665i \(-0.375655\pi\)
0.999862 0.0166420i \(-0.00529757\pi\)
\(684\) 1.52103e6 + 6.66408e6i 0.124308 + 0.544628i
\(685\) −4.43471e6 + 668426.i −0.361110 + 0.0544285i
\(686\) −1.45318e6 + 1.82224e6i −0.117899 + 0.147841i
\(687\) −1.05335e6 −0.0851495
\(688\) −5.16727e6 + 7.23836e6i −0.416189 + 0.583001i
\(689\) −744199. −0.0597229
\(690\) −952365. + 1.19423e6i −0.0761519 + 0.0954915i
\(691\) 2.44546e6 368594.i 0.194835 0.0293666i −0.0508999 0.998704i \(-0.516209\pi\)
0.245735 + 0.969337i \(0.420971\pi\)
\(692\) −1.19346e6 5.22888e6i −0.0947418 0.415091i
\(693\) 5.40690e6 3.68636e6i 0.427677 0.291585i
\(694\) 2.63066e6 4.55644e6i 0.207332 0.359109i
\(695\) 2.85747e6 + 4.94929e6i 0.224398 + 0.388670i
\(696\) 4.59058e6 + 2.21071e6i 0.359207 + 0.172985i
\(697\) −4.15702e6 + 1.28227e6i −0.324116 + 0.0999766i
\(698\) 477905. 6.37721e6i 0.0371282 0.495441i
\(699\) 801688. 3.51242e6i 0.0620601 0.271903i
\(700\) −144730. 368767.i −0.0111639 0.0284451i
\(701\) 839458. + 1.12018e7i 0.0645214 + 0.860978i 0.931758 + 0.363081i \(0.118275\pi\)
−0.867236 + 0.497897i \(0.834106\pi\)
\(702\) −710698. 107120.i −0.0544305 0.00820408i
\(703\) −5.55664e6 + 5.15581e6i −0.424056 + 0.393467i
\(704\) 1.03054e7 4.96280e6i 0.783667 0.377394i
\(705\) −6.58993e6 4.49294e6i −0.499353 0.340453i
\(706\) −2.31386e6 + 5.89562e6i −0.174713 + 0.445162i
\(707\) 4.07175e6 + 1.25597e6i 0.306361 + 0.0944997i
\(708\) 5.51510e6 + 5.11727e6i 0.413495 + 0.383667i
\(709\) 2.36243e6 + 2.96239e6i 0.176499 + 0.221323i 0.862210 0.506551i \(-0.169080\pi\)
−0.685711 + 0.727874i \(0.740508\pi\)
\(710\) 3.22078e6 + 4.03874e6i 0.239782 + 0.300677i
\(711\) −1.32261e6 1.22720e6i −0.0981202 0.0910422i
\(712\) 4.97401e6 + 1.53428e6i 0.367711 + 0.113424i
\(713\) 2.67438e6 6.81422e6i 0.197015 0.501987i
\(714\) 392256. + 267435.i 0.0287954 + 0.0196324i
\(715\) −5.56415e6 + 2.67956e6i −0.407037 + 0.196019i
\(716\) −8.30222e6 + 7.70333e6i −0.605218 + 0.561560i
\(717\) −3.74902e6 565073.i −0.272345 0.0410494i
\(718\) 588714. + 7.85584e6i 0.0426180 + 0.568698i
\(719\) −2.65204e6 6.75730e6i −0.191319 0.487473i 0.802738 0.596332i \(-0.203376\pi\)
−0.994057 + 0.108858i \(0.965280\pi\)
\(720\) 1.80244e6 7.89703e6i 0.129578 0.567718i
\(721\) −573702. + 7.65552e6i −0.0411006 + 0.548450i
\(722\) 2.01530e6 621639.i 0.143879 0.0443808i
\(723\) 2.31049e6 + 1.11267e6i 0.164383 + 0.0791628i
\(724\) 295473. + 511774.i 0.0209494 + 0.0362854i
\(725\) −1.34751e6 + 2.33395e6i −0.0952109 + 0.164910i
\(726\) −3.52852e6 + 2.40570e6i −0.248457 + 0.169395i
\(727\) −4.46431e6 1.95594e7i −0.313269 1.37252i −0.849115 0.528208i \(-0.822864\pi\)
0.535846 0.844316i \(-0.319993\pi\)
\(728\) 677622. 102135.i 0.0473870 0.00714244i
\(729\) −2.28078e6 + 2.86001e6i −0.158951 + 0.199319i
\(730\) 4.70829e6 0.327006
\(731\) 1.34448e7 + 1.29980e6i 0.930593 + 0.0899673i
\(732\) −4.53032e6 −0.312501
\(733\) −1.49134e7 + 1.87008e7i −1.02522 + 1.28558i −0.0675448 + 0.997716i \(0.521517\pi\)
−0.957671 + 0.287864i \(0.907055\pi\)
\(734\) −6.36555e6 + 959452.i −0.436110 + 0.0657330i
\(735\) 1.03604e6 + 4.53917e6i 0.0707386 + 0.309926i
\(736\) −1.09762e7 + 7.48344e6i −0.746891 + 0.509221i
\(737\) −964219. + 1.67008e6i −0.0653893 + 0.113258i
\(738\) 721581. + 1.24981e6i 0.0487690 + 0.0844704i
\(739\) 1.33828e6 + 644484.i 0.0901441 + 0.0434111i 0.478413 0.878135i \(-0.341212\pi\)
−0.388268 + 0.921546i \(0.626927\pi\)
\(740\) 9.75480e6 3.00896e6i 0.654846 0.201993i
\(741\) −76128.4 + 1.01586e6i −0.00509332 + 0.0679656i
\(742\) 78485.5 343868.i 0.00523335 0.0229288i
\(743\) 5.90593e6 + 1.50481e7i 0.392479 + 1.00002i 0.981425 + 0.191848i \(0.0614479\pi\)
−0.588946 + 0.808173i \(0.700457\pi\)
\(744\) 122655. + 1.63672e6i 0.00812368 + 0.108403i
\(745\) 6.01282e6 + 906287.i 0.396906 + 0.0598239i
\(746\) −1.32577e6 + 1.23013e6i −0.0872208 + 0.0809291i
\(747\) −2.46649e6 + 1.18780e6i −0.161725 + 0.0778829i
\(748\) −2.01510e7 1.37387e7i −1.31687 0.897828i
\(749\) −2.03702e6 + 5.19025e6i −0.132676 + 0.338052i
\(750\) 1.80140e6 + 555658.i 0.116938 + 0.0360707i
\(751\) 1.38709e7 + 1.28703e7i 0.897441 + 0.832703i 0.986574 0.163316i \(-0.0522191\pi\)
−0.0891329 + 0.996020i \(0.528410\pi\)
\(752\) −1.18308e7 1.48354e7i −0.762905 0.956653i
\(753\) 4.58428e6 + 5.74851e6i 0.294635 + 0.369460i
\(754\) −1.62092e6 1.50399e6i −0.103832 0.0963422i
\(755\) −1.00690e7 3.10586e6i −0.642861