Properties

Label 36.6.h.a.11.11
Level 36
Weight 6
Character 36.11
Analytic conductor 5.774
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 36 = 2^{2} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 36.h (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.77381751327\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 11.11
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.90579 + 5.32616i) q^{2} +(9.73802 + 12.1726i) q^{3} +(-24.7359 - 20.3011i) q^{4} +(-51.8636 + 29.9435i) q^{5} +(-83.3916 + 28.6679i) q^{6} +(-33.8827 - 19.5622i) q^{7} +(155.268 - 93.0578i) q^{8} +(-53.3420 + 237.073i) q^{9} +O(q^{10})\) \(q+(-1.90579 + 5.32616i) q^{2} +(9.73802 + 12.1726i) q^{3} +(-24.7359 - 20.3011i) q^{4} +(-51.8636 + 29.9435i) q^{5} +(-83.3916 + 28.6679i) q^{6} +(-33.8827 - 19.5622i) q^{7} +(155.268 - 93.0578i) q^{8} +(-53.3420 + 237.073i) q^{9} +(-60.6425 - 333.300i) q^{10} +(-108.537 + 187.992i) q^{11} +(6.23729 - 498.792i) q^{12} +(-532.156 - 921.721i) q^{13} +(168.765 - 143.183i) q^{14} +(-869.538 - 339.723i) q^{15} +(199.731 + 1004.33i) q^{16} +315.283i q^{17} +(-1161.03 - 735.920i) q^{18} +1889.72i q^{19} +(1890.78 + 312.209i) q^{20} +(-91.8286 - 602.936i) q^{21} +(-794.425 - 936.359i) q^{22} +(1200.19 + 2078.79i) q^{23} +(2644.76 + 983.814i) q^{24} +(230.725 - 399.628i) q^{25} +(5923.41 - 1077.74i) q^{26} +(-3405.23 + 1659.31i) q^{27} +(440.986 + 1171.75i) q^{28} +(5185.33 + 2993.75i) q^{29} +(3466.57 - 3983.86i) q^{30} +(-6949.56 + 4012.33i) q^{31} +(-5729.88 - 850.247i) q^{32} +(-3345.28 + 509.494i) q^{33} +(-1679.25 - 600.864i) q^{34} +2343.04 q^{35} +(6132.31 - 4781.32i) q^{36} +5243.91 q^{37} +(-10065.0 - 3601.42i) q^{38} +(6037.55 - 15453.4i) q^{39} +(-5266.31 + 9475.59i) q^{40} +(-7589.92 + 4382.04i) q^{41} +(3386.34 + 659.977i) q^{42} +(8780.43 + 5069.38i) q^{43} +(6501.20 - 2446.73i) q^{44} +(-4332.28 - 13892.7i) q^{45} +(-13359.2 + 2430.66i) q^{46} +(7272.14 - 12595.7i) q^{47} +(-10280.3 + 12211.4i) q^{48} +(-7638.14 - 13229.6i) q^{49} +(1688.77 + 1990.49i) q^{50} +(-3837.80 + 3070.24i) q^{51} +(-5548.58 + 33603.0i) q^{52} +19631.3i q^{53} +(-2348.10 - 21299.1i) q^{54} -12999.9i q^{55} +(-7081.33 + 115.661i) q^{56} +(-23002.8 + 18402.2i) q^{57} +(-25827.4 + 21912.4i) q^{58} +(909.551 + 1575.39i) q^{59} +(14612.1 + 26055.9i) q^{60} +(24421.5 - 42299.3i) q^{61} +(-8125.89 - 44661.1i) q^{62} +(6445.04 - 6989.19i) q^{63} +(15448.5 - 28897.8i) q^{64} +(55199.1 + 31869.2i) q^{65} +(3661.75 - 18788.5i) q^{66} +(37065.9 - 21400.0i) q^{67} +(6400.60 - 7798.82i) q^{68} +(-13616.7 + 34852.6i) q^{69} +(-4465.35 + 12479.4i) q^{70} -29409.1 q^{71} +(13779.2 + 41773.8i) q^{72} +38022.9 q^{73} +(-9993.79 + 27929.9i) q^{74} +(7111.30 - 1083.07i) q^{75} +(38363.5 - 46744.1i) q^{76} +(7355.06 - 4246.45i) q^{77} +(70801.1 + 61608.0i) q^{78} +(-12858.2 - 7423.70i) q^{79} +(-40432.0 - 46107.7i) q^{80} +(-53358.3 - 25291.9i) q^{81} +(-8874.65 - 48776.4i) q^{82} +(-60168.3 + 104215. i) q^{83} +(-9968.80 + 16778.4i) q^{84} +(-9440.69 - 16351.7i) q^{85} +(-43734.0 + 37104.8i) q^{86} +(14053.2 + 92272.0i) q^{87} +(641.721 + 39289.4i) q^{88} -35496.5i q^{89} +(82251.2 + 3402.21i) q^{90} +41640.5i q^{91} +(12513.9 - 75785.8i) q^{92} +(-116515. - 45521.7i) q^{93} +(53227.6 + 62737.3i) q^{94} +(-56584.9 - 98008.0i) q^{95} +(-45448.0 - 78027.0i) q^{96} +(1491.62 - 2583.55i) q^{97} +(85019.9 - 15469.0i) q^{98} +(-38778.2 - 35759.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} + O(q^{10}) \) \( 56q - 3q^{2} - q^{4} - 6q^{5} - 27q^{6} + 18q^{9} - 68q^{10} - 486q^{12} - 2q^{13} - 1518q^{14} - q^{16} + 1992q^{18} - 1242q^{20} + 330q^{21} + 63q^{22} + 2235q^{24} + 12498q^{25} - 2052q^{28} - 11946q^{29} - 6882q^{30} - 7233q^{32} + 17040q^{33} + 6361q^{34} + 6399q^{36} - 8q^{37} - 14877q^{38} - 1526q^{40} - 43536q^{41} + 18564q^{42} - 42q^{45} - 26880q^{46} - 5931q^{48} + 38414q^{49} + 38631q^{50} + 24988q^{52} + 37587q^{54} + 21186q^{56} - 90786q^{57} - 3314q^{58} + 60930q^{60} - 2q^{61} - 106342q^{64} + 35970q^{65} - 47838q^{66} + 31413q^{68} - 1854q^{69} + 10524q^{70} - 130941q^{72} + 53620q^{73} - 20406q^{74} + 26193q^{76} + 26178q^{77} - 96684q^{78} - 14790q^{81} - 151286q^{82} + 141630q^{84} + 6248q^{85} + 279237q^{86} - 122541q^{88} + 235278q^{90} + 435804q^{92} + 71838q^{93} + 63480q^{94} - 37476q^{96} - 58148q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).

\(n\) \(19\) \(29\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.90579 + 5.32616i −0.336899 + 0.941541i
\(3\) 9.73802 + 12.1726i 0.624694 + 0.780870i
\(4\) −24.7359 20.3011i −0.772997 0.634409i
\(5\) −51.8636 + 29.9435i −0.927765 + 0.535645i −0.886104 0.463486i \(-0.846598\pi\)
−0.0416611 + 0.999132i \(0.513265\pi\)
\(6\) −83.3916 + 28.6679i −0.945680 + 0.325100i
\(7\) −33.8827 19.5622i −0.261356 0.150894i 0.363597 0.931556i \(-0.381549\pi\)
−0.624953 + 0.780662i \(0.714882\pi\)
\(8\) 155.268 93.0578i 0.857744 0.514076i
\(9\) −53.3420 + 237.073i −0.219515 + 0.975609i
\(10\) −60.6425 333.300i −0.191768 1.05399i
\(11\) −108.537 + 187.992i −0.270456 + 0.468443i −0.968979 0.247144i \(-0.920508\pi\)
0.698523 + 0.715588i \(0.253841\pi\)
\(12\) 6.23729 498.792i 0.0125038 0.999922i
\(13\) −532.156 921.721i −0.873334 1.51266i −0.858527 0.512769i \(-0.828620\pi\)
−0.0148071 0.999890i \(-0.504713\pi\)
\(14\) 168.765 143.183i 0.230124 0.195241i
\(15\) −869.538 339.723i −0.997839 0.389849i
\(16\) 199.731 + 1004.33i 0.195050 + 0.980793i
\(17\) 315.283i 0.264593i 0.991210 + 0.132297i \(0.0422351\pi\)
−0.991210 + 0.132297i \(0.957765\pi\)
\(18\) −1161.03 735.920i −0.844621 0.535364i
\(19\) 1889.72i 1.20092i 0.799655 + 0.600460i \(0.205016\pi\)
−0.799655 + 0.600460i \(0.794984\pi\)
\(20\) 1890.78 + 312.209i 1.05698 + 0.174530i
\(21\) −91.8286 602.936i −0.0454391 0.298348i
\(22\) −794.425 936.359i −0.349942 0.412464i
\(23\) 1200.19 + 2078.79i 0.473074 + 0.819389i 0.999525 0.0308168i \(-0.00981084\pi\)
−0.526451 + 0.850206i \(0.676478\pi\)
\(24\) 2644.76 + 983.814i 0.937254 + 0.348646i
\(25\) 230.725 399.628i 0.0738321 0.127881i
\(26\) 5923.41 1077.74i 1.71846 0.312665i
\(27\) −3405.23 + 1659.31i −0.898953 + 0.438045i
\(28\) 440.986 + 1171.75i 0.106299 + 0.282448i
\(29\) 5185.33 + 2993.75i 1.14494 + 0.661030i 0.947648 0.319315i \(-0.103453\pi\)
0.197289 + 0.980345i \(0.436786\pi\)
\(30\) 3466.57 3983.86i 0.703230 0.808166i
\(31\) −6949.56 + 4012.33i −1.29883 + 0.749881i −0.980202 0.197999i \(-0.936556\pi\)
−0.318629 + 0.947879i \(0.603222\pi\)
\(32\) −5729.88 850.247i −0.989169 0.146781i
\(33\) −3345.28 + 509.494i −0.534746 + 0.0814430i
\(34\) −1679.25 600.864i −0.249125 0.0891413i
\(35\) 2343.04 0.323303
\(36\) 6132.31 4781.32i 0.788620 0.614881i
\(37\) 5243.91 0.629725 0.314862 0.949137i \(-0.398042\pi\)
0.314862 + 0.949137i \(0.398042\pi\)
\(38\) −10065.0 3601.42i −1.13072 0.404590i
\(39\) 6037.55 15453.4i 0.635623 1.62691i
\(40\) −5266.31 + 9475.59i −0.520423 + 0.936389i
\(41\) −7589.92 + 4382.04i −0.705144 + 0.407115i −0.809260 0.587450i \(-0.800132\pi\)
0.104117 + 0.994565i \(0.466798\pi\)
\(42\) 3386.34 + 659.977i 0.296215 + 0.0577305i
\(43\) 8780.43 + 5069.38i 0.724176 + 0.418103i 0.816288 0.577645i \(-0.196028\pi\)
−0.0921115 + 0.995749i \(0.529362\pi\)
\(44\) 6501.20 2446.73i 0.506247 0.190526i
\(45\) −4332.28 13892.7i −0.318923 1.02272i
\(46\) −13359.2 + 2430.66i −0.930866 + 0.169367i
\(47\) 7272.14 12595.7i 0.480195 0.831721i −0.519547 0.854442i \(-0.673899\pi\)
0.999742 + 0.0227202i \(0.00723270\pi\)
\(48\) −10280.3 + 12211.4i −0.644025 + 0.765004i
\(49\) −7638.14 13229.6i −0.454462 0.787151i
\(50\) 1688.77 + 1990.49i 0.0955311 + 0.112599i
\(51\) −3837.80 + 3070.24i −0.206613 + 0.165290i
\(52\) −5548.58 + 33603.0i −0.284560 + 1.72333i
\(53\) 19631.3i 0.959974i 0.877276 + 0.479987i \(0.159359\pi\)
−0.877276 + 0.479987i \(0.840641\pi\)
\(54\) −2348.10 21299.1i −0.109580 0.993978i
\(55\) 12999.9i 0.579474i
\(56\) −7081.33 + 115.661i −0.301748 + 0.00492851i
\(57\) −23002.8 + 18402.2i −0.937762 + 0.750208i
\(58\) −25827.4 + 21912.4i −1.00812 + 0.855304i
\(59\) 909.551 + 1575.39i 0.0340171 + 0.0589193i 0.882533 0.470251i \(-0.155837\pi\)
−0.848516 + 0.529170i \(0.822503\pi\)
\(60\) 14612.1 + 26055.9i 0.524003 + 0.934390i
\(61\) 24421.5 42299.3i 0.840327 1.45549i −0.0492921 0.998784i \(-0.515697\pi\)
0.889619 0.456704i \(-0.150970\pi\)
\(62\) −8125.89 44661.1i −0.268467 1.47554i
\(63\) 6445.04 6989.19i 0.204585 0.221858i
\(64\) 15448.5 28897.8i 0.471451 0.881892i
\(65\) 55199.1 + 31869.2i 1.62050 + 0.935595i
\(66\) 3661.75 18788.5i 0.103474 0.530923i
\(67\) 37065.9 21400.0i 1.00876 0.582407i 0.0979310 0.995193i \(-0.468778\pi\)
0.910828 + 0.412786i \(0.135444\pi\)
\(68\) 6400.60 7798.82i 0.167860 0.204530i
\(69\) −13616.7 + 34852.6i −0.344309 + 0.881277i
\(70\) −4465.35 + 12479.4i −0.108921 + 0.304403i
\(71\) −29409.1 −0.692365 −0.346183 0.938167i \(-0.612522\pi\)
−0.346183 + 0.938167i \(0.612522\pi\)
\(72\) 13779.2 + 41773.8i 0.313250 + 0.949671i
\(73\) 38022.9 0.835099 0.417550 0.908654i \(-0.362889\pi\)
0.417550 + 0.908654i \(0.362889\pi\)
\(74\) −9993.79 + 27929.9i −0.212154 + 0.592911i
\(75\) 7111.30 1083.07i 0.145981 0.0222332i
\(76\) 38363.5 46744.1i 0.761875 0.928309i
\(77\) 7355.06 4246.45i 0.141371 0.0816205i
\(78\) 70801.1 + 61608.0i 1.31766 + 1.14657i
\(79\) −12858.2 7423.70i −0.231800 0.133830i 0.379602 0.925150i \(-0.376061\pi\)
−0.611402 + 0.791320i \(0.709394\pi\)
\(80\) −40432.0 46107.7i −0.706318 0.805468i
\(81\) −53358.3 25291.9i −0.903627 0.428321i
\(82\) −8874.65 48776.4i −0.145753 0.801078i
\(83\) −60168.3 + 104215.i −0.958677 + 1.66048i −0.232959 + 0.972487i \(0.574841\pi\)
−0.725719 + 0.687991i \(0.758493\pi\)
\(84\) −9968.80 + 16778.4i −0.154150 + 0.259449i
\(85\) −9440.69 16351.7i −0.141728 0.245480i
\(86\) −43734.0 + 37104.8i −0.637636 + 0.540983i
\(87\) 14053.2 + 92272.0i 0.199058 + 1.30699i
\(88\) 641.721 + 39289.4i 0.00883364 + 0.540840i
\(89\) 35496.5i 0.475019i −0.971385 0.237509i \(-0.923669\pi\)
0.971385 0.237509i \(-0.0763311\pi\)
\(90\) 82251.2 + 3402.21i 1.07038 + 0.0442746i
\(91\) 41640.5i 0.527124i
\(92\) 12513.9 75785.8i 0.154142 0.933508i
\(93\) −116515. 45521.7i −1.39693 0.545772i
\(94\) 53227.6 + 62737.3i 0.621322 + 0.732329i
\(95\) −56584.9 98008.0i −0.643268 1.11417i
\(96\) −45448.0 78027.0i −0.503311 0.864105i
\(97\) 1491.62 2583.55i 0.0160964 0.0278797i −0.857865 0.513875i \(-0.828209\pi\)
0.873961 + 0.485995i \(0.161543\pi\)
\(98\) 85019.9 15469.0i 0.894243 0.162704i
\(99\) −38778.2 35759.1i −0.397649 0.366690i
\(100\) −13820.1 + 5201.19i −0.138201 + 0.0520119i
\(101\) 45537.2 + 26290.9i 0.444184 + 0.256450i 0.705371 0.708838i \(-0.250780\pi\)
−0.261187 + 0.965288i \(0.584114\pi\)
\(102\) −9038.50 26292.0i −0.0860193 0.250220i
\(103\) 10418.1 6014.90i 0.0967600 0.0558644i −0.450839 0.892605i \(-0.648875\pi\)
0.547599 + 0.836741i \(0.315542\pi\)
\(104\) −168400. 93592.8i −1.52672 0.848514i
\(105\) 22816.6 + 28520.8i 0.201966 + 0.252458i
\(106\) −104559. 37413.2i −0.903855 0.323415i
\(107\) 89559.8 0.756229 0.378115 0.925759i \(-0.376572\pi\)
0.378115 + 0.925759i \(0.376572\pi\)
\(108\) 117917. + 28085.3i 0.972788 + 0.231696i
\(109\) −29876.1 −0.240856 −0.120428 0.992722i \(-0.538427\pi\)
−0.120428 + 0.992722i \(0.538427\pi\)
\(110\) 69239.6 + 24775.1i 0.545598 + 0.195225i
\(111\) 51065.3 + 63831.7i 0.393385 + 0.491733i
\(112\) 12879.5 37936.7i 0.0970184 0.285769i
\(113\) −214387. + 123776.i −1.57943 + 0.911886i −0.584496 + 0.811397i \(0.698708\pi\)
−0.994938 + 0.100490i \(0.967959\pi\)
\(114\) −54174.4 157587.i −0.390420 1.13569i
\(115\) −124492. 71875.6i −0.877804 0.506800i
\(116\) −67487.5 179321.i −0.465670 1.23733i
\(117\) 246901. 76993.3i 1.66747 0.519982i
\(118\) −10124.2 + 1842.05i −0.0669352 + 0.0121786i
\(119\) 6167.64 10682.7i 0.0399256 0.0691531i
\(120\) −166626. + 28169.1i −1.05630 + 0.178574i
\(121\) 56964.9 + 98666.1i 0.353707 + 0.612639i
\(122\) 178751. + 210687.i 1.08730 + 1.28155i
\(123\) −127251. 49716.3i −0.758403 0.296303i
\(124\) 253358. + 41835.0i 1.47972 + 0.244335i
\(125\) 159512.i 0.913100i
\(126\) 24942.6 + 47647.3i 0.139964 + 0.267369i
\(127\) 265961.i 1.46322i 0.681724 + 0.731610i \(0.261231\pi\)
−0.681724 + 0.731610i \(0.738769\pi\)
\(128\) 124473. + 137354.i 0.671506 + 0.740999i
\(129\) 23796.6 + 156246.i 0.125904 + 0.826674i
\(130\) −274938. + 233263.i −1.42685 + 1.21056i
\(131\) 37162.9 + 64368.0i 0.189204 + 0.327712i 0.944985 0.327113i \(-0.106076\pi\)
−0.755781 + 0.654825i \(0.772742\pi\)
\(132\) 93091.8 + 55310.0i 0.465025 + 0.276292i
\(133\) 36967.1 64029.0i 0.181212 0.313868i
\(134\) 43339.9 + 238203.i 0.208510 + 1.14600i
\(135\) 126922. 188022.i 0.599380 0.887923i
\(136\) 29339.6 + 48953.5i 0.136021 + 0.226953i
\(137\) 20104.8 + 11607.5i 0.0915163 + 0.0528370i 0.545060 0.838397i \(-0.316507\pi\)
−0.453543 + 0.891234i \(0.649840\pi\)
\(138\) −159680. 138946.i −0.713760 0.621083i
\(139\) 287391. 165925.i 1.26164 0.728410i 0.288251 0.957555i \(-0.406926\pi\)
0.973392 + 0.229145i \(0.0735930\pi\)
\(140\) −57957.3 47566.3i −0.249912 0.205106i
\(141\) 224138. 34136.8i 0.949441 0.144602i
\(142\) 56047.5 156637.i 0.233257 0.651890i
\(143\) 231035. 0.944794
\(144\) −248754. 6222.21i −0.999687 0.0250057i
\(145\) −358574. −1.41631
\(146\) −72463.7 + 202516.i −0.281345 + 0.786280i
\(147\) 86658.2 221806.i 0.330763 0.846604i
\(148\) −129713. 106457.i −0.486776 0.399503i
\(149\) 287800. 166162.i 1.06200 0.613147i 0.136017 0.990707i \(-0.456570\pi\)
0.925985 + 0.377559i \(0.123237\pi\)
\(150\) −7784.06 + 39940.0i −0.0282474 + 0.144937i
\(151\) −300515. 173503.i −1.07257 0.619247i −0.143685 0.989623i \(-0.545895\pi\)
−0.928882 + 0.370377i \(0.879229\pi\)
\(152\) 175853. + 293414.i 0.617365 + 1.03008i
\(153\) −74745.2 16817.9i −0.258140 0.0580821i
\(154\) 8600.04 + 47267.1i 0.0292212 + 0.160604i
\(155\) 240286. 416188.i 0.803340 1.39143i
\(156\) −463066. + 259686.i −1.52346 + 0.854352i
\(157\) 72572.9 + 125700.i 0.234977 + 0.406992i 0.959266 0.282504i \(-0.0911651\pi\)
−0.724289 + 0.689497i \(0.757832\pi\)
\(158\) 64044.9 54336.9i 0.204099 0.173162i
\(159\) −238963. + 191170.i −0.749615 + 0.599690i
\(160\) 322632. 127476.i 0.996339 0.393665i
\(161\) 93913.2i 0.285537i
\(162\) 236398. 235993.i 0.707713 0.706500i
\(163\) 240037.i 0.707635i 0.935314 + 0.353818i \(0.115117\pi\)
−0.935314 + 0.353818i \(0.884883\pi\)
\(164\) 276704. + 45689.8i 0.803352 + 0.132651i
\(165\) 158242. 126593.i 0.452494 0.361994i
\(166\) −440395. 519077.i −1.24043 1.46205i
\(167\) 144730. + 250679.i 0.401575 + 0.695548i 0.993916 0.110139i \(-0.0351296\pi\)
−0.592341 + 0.805687i \(0.701796\pi\)
\(168\) −70366.0 85071.5i −0.192349 0.232547i
\(169\) −380733. + 659449.i −1.02542 + 1.77609i
\(170\) 105084. 19119.6i 0.278878 0.0507406i
\(171\) −448003. 100802.i −1.17163 0.263620i
\(172\) −114278. 303648.i −0.294538 0.782617i
\(173\) −490809. 283369.i −1.24680 0.719841i −0.276332 0.961062i \(-0.589119\pi\)
−0.970470 + 0.241221i \(0.922452\pi\)
\(174\) −518238. 101001.i −1.29764 0.252903i
\(175\) −15635.2 + 9026.99i −0.0385930 + 0.0222817i
\(176\) −210485. 71459.5i −0.512199 0.173891i
\(177\) −10319.3 + 26412.7i −0.0247580 + 0.0633694i
\(178\) 189060. + 67649.0i 0.447250 + 0.160034i
\(179\) −440866. −1.02843 −0.514214 0.857662i \(-0.671916\pi\)
−0.514214 + 0.857662i \(0.671916\pi\)
\(180\) −174874. + 431599.i −0.402295 + 0.992886i
\(181\) 103852. 0.235623 0.117812 0.993036i \(-0.462412\pi\)
0.117812 + 0.993036i \(0.462412\pi\)
\(182\) −221784. 79358.2i −0.496309 0.177588i
\(183\) 752708. 114639.i 1.66149 0.253050i
\(184\) 379798. + 211083.i 0.827005 + 0.459630i
\(185\) −271968. + 157021.i −0.584237 + 0.337309i
\(186\) 464509. 533823.i 0.984492 1.13140i
\(187\) −59270.7 34220.0i −0.123947 0.0715608i
\(188\) −435590. + 163934.i −0.898841 + 0.338279i
\(189\) 147838. + 10391.7i 0.301046 + 0.0211609i
\(190\) 629845. 114598.i 1.26576 0.230299i
\(191\) −215522. + 373294.i −0.427472 + 0.740403i −0.996648 0.0818131i \(-0.973929\pi\)
0.569176 + 0.822216i \(0.307262\pi\)
\(192\) 502198. 93360.0i 0.983155 0.182771i
\(193\) 20745.9 + 35932.9i 0.0400903 + 0.0694384i 0.885374 0.464879i \(-0.153902\pi\)
−0.845284 + 0.534317i \(0.820569\pi\)
\(194\) 10917.7 + 12868.3i 0.0208270 + 0.0245480i
\(195\) 149600. + 982256.i 0.281738 + 1.84986i
\(196\) −79639.9 + 482310.i −0.148078 + 0.896781i
\(197\) 353610.i 0.649170i −0.945856 0.324585i \(-0.894775\pi\)
0.945856 0.324585i \(-0.105225\pi\)
\(198\) 264362. 138389.i 0.479221 0.250865i
\(199\) 167614.i 0.300038i −0.988683 0.150019i \(-0.952066\pi\)
0.988683 0.150019i \(-0.0479336\pi\)
\(200\) −1364.15 83520.3i −0.00241150 0.147644i
\(201\) 621441. + 242793.i 1.08495 + 0.423883i
\(202\) −226814. + 192434.i −0.391104 + 0.331820i
\(203\) −117129. 202873.i −0.199491 0.345529i
\(204\) 157261. + 1966.51i 0.264573 + 0.00330843i
\(205\) 262427. 454537.i 0.436138 0.755414i
\(206\) 12181.6 + 66951.7i 0.0200002 + 0.109924i
\(207\) −556844. + 173645.i −0.903250 + 0.281668i
\(208\) 819426. 718558.i 1.31326 1.15160i
\(209\) −355253. 205105.i −0.562563 0.324796i
\(210\) −195390. + 67170.0i −0.305741 + 0.105106i
\(211\) 60893.8 35157.0i 0.0941601 0.0543633i −0.452181 0.891926i \(-0.649354\pi\)
0.546341 + 0.837563i \(0.316020\pi\)
\(212\) 398537. 485598.i 0.609016 0.742058i
\(213\) −286386. 357983.i −0.432516 0.540647i
\(214\) −170682. + 477010.i −0.254773 + 0.712021i
\(215\) −607180. −0.895821
\(216\) −374312. + 574522.i −0.545883 + 0.837861i
\(217\) 313960. 0.452611
\(218\) 56937.7 159125.i 0.0811444 0.226776i
\(219\) 370268. + 462836.i 0.521682 + 0.652104i
\(220\) −263913. + 321565.i −0.367624 + 0.447932i
\(221\) 290603. 167780.i 0.400239 0.231078i
\(222\) −437298. + 150332.i −0.595518 + 0.204724i
\(223\) −439612. 253810.i −0.591980 0.341780i 0.173900 0.984763i \(-0.444363\pi\)
−0.765880 + 0.642983i \(0.777696\pi\)
\(224\) 177511. + 140898.i 0.236377 + 0.187622i
\(225\) 82433.7 + 76015.7i 0.108555 + 0.100103i
\(226\) −250675. 1.37775e6i −0.326468 1.79432i
\(227\) −54791.0 + 94900.8i −0.0705739 + 0.122238i −0.899153 0.437634i \(-0.855816\pi\)
0.828579 + 0.559872i \(0.189150\pi\)
\(228\) 942578. + 11786.8i 1.20083 + 0.0150161i
\(229\) 180234. + 312174.i 0.227116 + 0.393376i 0.956952 0.290246i \(-0.0937370\pi\)
−0.729836 + 0.683622i \(0.760404\pi\)
\(230\) 620077. 526085.i 0.772905 0.655747i
\(231\) 123314. + 48177.9i 0.152048 + 0.0594043i
\(232\) 1.08371e6 17700.4i 1.32188 0.0215906i
\(233\) 938716.i 1.13278i 0.824138 + 0.566389i \(0.191660\pi\)
−0.824138 + 0.566389i \(0.808340\pi\)
\(234\) −60464.0 + 1.46177e6i −0.0721867 + 1.74518i
\(235\) 871012.i 1.02886i
\(236\) 9483.52 57433.5i 0.0110838 0.0671252i
\(237\) −34848.2 228809.i −0.0403005 0.264608i
\(238\) 45143.3 + 53208.7i 0.0516596 + 0.0608892i
\(239\) −163017. 282354.i −0.184603 0.319742i 0.758840 0.651278i \(-0.225767\pi\)
−0.943443 + 0.331536i \(0.892433\pi\)
\(240\) 167521. 941158.i 0.187733 1.05471i
\(241\) 37903.3 65650.4i 0.0420373 0.0728107i −0.844241 0.535963i \(-0.819949\pi\)
0.886279 + 0.463153i \(0.153282\pi\)
\(242\) −634074. + 115367.i −0.695988 + 0.126632i
\(243\) −211736. 895799.i −0.230028 0.973184i
\(244\) −1.46281e6 + 550529.i −1.57295 + 0.591978i
\(245\) 792284. + 457425.i 0.843268 + 0.486861i
\(246\) 507311. 583012.i 0.534487 0.614243i
\(247\) 1.74180e6 1.00563e6i 1.81658 1.04880i
\(248\) −705668. + 1.26970e6i −0.728569 + 1.31090i
\(249\) −1.85448e6 + 282441.i −1.89550 + 0.288689i
\(250\) 849586. + 303996.i 0.859720 + 0.307623i
\(251\) 971568. 0.973394 0.486697 0.873571i \(-0.338202\pi\)
0.486697 + 0.873571i \(0.338202\pi\)
\(252\) −301312. + 42042.7i −0.298893 + 0.0417051i
\(253\) −521060. −0.511783
\(254\) −1.41655e6 506867.i −1.37768 0.492958i
\(255\) 107109. 274151.i 0.103151 0.264021i
\(256\) −968791. + 401193.i −0.923911 + 0.382608i
\(257\) 1.19547e6 690206.i 1.12903 0.651848i 0.185342 0.982674i \(-0.440661\pi\)
0.943692 + 0.330826i \(0.107327\pi\)
\(258\) −877542. 171027.i −0.820764 0.159962i
\(259\) −177678. 102582.i −0.164583 0.0950218i
\(260\) −718420. 1.90892e6i −0.659091 1.75127i
\(261\) −986335. + 1.06961e6i −0.896237 + 0.971906i
\(262\) −413659. + 75263.4i −0.372297 + 0.0677377i
\(263\) −240670. + 416853.i −0.214552 + 0.371615i −0.953134 0.302549i \(-0.902163\pi\)
0.738582 + 0.674164i \(0.235496\pi\)
\(264\) −472003. + 390412.i −0.416807 + 0.344757i
\(265\) −587830. 1.01815e6i −0.514206 0.890631i
\(266\) 270577. + 318919.i 0.234470 + 0.276360i
\(267\) 432083. 345666.i 0.370928 0.296741i
\(268\) −1.35130e6 223129.i −1.14925 0.189767i
\(269\) 1.12150e6i 0.944969i 0.881339 + 0.472484i \(0.156643\pi\)
−0.881339 + 0.472484i \(0.843357\pi\)
\(270\) 759551. + 1.03434e6i 0.634085 + 0.863482i
\(271\) 873330.i 0.722362i −0.932496 0.361181i \(-0.882374\pi\)
0.932496 0.361181i \(-0.117626\pi\)
\(272\) −316649. + 62972.0i −0.259511 + 0.0516090i
\(273\) −506872. + 405496.i −0.411615 + 0.329291i
\(274\) −100139. + 84959.9i −0.0805800 + 0.0683656i
\(275\) 50084.5 + 86748.9i 0.0399367 + 0.0691723i
\(276\) 1.04437e6 585677.i 0.825240 0.462792i
\(277\) 900195. 1.55918e6i 0.704915 1.22095i −0.261807 0.965120i \(-0.584318\pi\)
0.966722 0.255829i \(-0.0823483\pi\)
\(278\) 336037. + 1.84691e6i 0.260781 + 1.43329i
\(279\) −580511. 1.86158e6i −0.446478 1.43176i
\(280\) 363800. 218038.i 0.277311 0.166203i
\(281\) −236453. 136516.i −0.178640 0.103138i 0.408014 0.912976i \(-0.366222\pi\)
−0.586654 + 0.809838i \(0.699555\pi\)
\(282\) −245343. + 1.25885e6i −0.183717 + 0.942653i
\(283\) −644438. + 372067.i −0.478316 + 0.276156i −0.719715 0.694270i \(-0.755727\pi\)
0.241398 + 0.970426i \(0.422394\pi\)
\(284\) 727460. + 597036.i 0.535196 + 0.439243i
\(285\) 641982. 1.64319e6i 0.468178 1.19833i
\(286\) −440304. + 1.23053e6i −0.318301 + 0.889562i
\(287\) 342889. 0.245725
\(288\) 507214. 1.31305e6i 0.360338 0.932822i
\(289\) 1.32045e6 0.929990
\(290\) 683367. 1.90982e6i 0.477154 1.33351i
\(291\) 45973.8 7001.93i 0.0318257 0.00484713i
\(292\) −940531. 771906.i −0.645530 0.529795i
\(293\) −330601. + 190873.i −0.224976 + 0.129890i −0.608252 0.793744i \(-0.708129\pi\)
0.383276 + 0.923634i \(0.374796\pi\)
\(294\) 1.01622e6 + 884272.i 0.685678 + 0.596647i
\(295\) −94345.2 54470.2i −0.0631197 0.0364422i
\(296\) 814213. 487986.i 0.540143 0.323727i
\(297\) 57656.6 820252.i 0.0379278 0.539581i
\(298\) 336515. + 1.84954e6i 0.219515 + 1.20649i
\(299\) 1.27737e6 2.21248e6i 0.826304 1.43120i
\(300\) −197892. 117576.i −0.126948 0.0754253i
\(301\) −198336. 343529.i −0.126179 0.218548i
\(302\) 1.49682e6 1.26993e6i 0.944393 0.801241i
\(303\) 123415. + 810326.i 0.0772254 + 0.507053i
\(304\) −1.89791e6 + 377437.i −1.17785 + 0.234240i
\(305\) 2.92506e6i 1.80047i
\(306\) 232023. 366053.i 0.141654 0.223481i
\(307\) 3.21986e6i 1.94980i 0.222640 + 0.974901i \(0.428533\pi\)
−0.222640 + 0.974901i \(0.571467\pi\)
\(308\) −268142. 44276.0i −0.161060 0.0265945i
\(309\) 174668. + 68241.8i 0.104068 + 0.0406588i
\(310\) 1.75875e6 + 2.07297e6i 1.03944 + 1.22515i
\(311\) 775835. + 1.34378e6i 0.454850 + 0.787823i 0.998680 0.0513724i \(-0.0163596\pi\)
−0.543830 + 0.839196i \(0.683026\pi\)
\(312\) −500621. 2.96127e6i −0.291154 1.72223i
\(313\) 263995. 457253.i 0.152312 0.263813i −0.779765 0.626073i \(-0.784661\pi\)
0.932077 + 0.362260i \(0.117995\pi\)
\(314\) −807807. + 146977.i −0.462364 + 0.0841250i
\(315\) −124983. + 555472.i −0.0709697 + 0.315418i
\(316\) 167351. + 444668.i 0.0942779 + 0.250506i
\(317\) 764737. + 441521.i 0.427429 + 0.246776i 0.698251 0.715853i \(-0.253962\pi\)
−0.270822 + 0.962630i \(0.587295\pi\)
\(318\) −562788. 1.63709e6i −0.312088 0.907828i
\(319\) −1.12560e6 + 649867.i −0.619310 + 0.357559i
\(320\) 64086.6 + 1.96133e6i 0.0349858 + 1.07072i
\(321\) 872135. + 1.09017e6i 0.472412 + 0.590517i
\(322\) 500197. + 178979.i 0.268844 + 0.0961972i
\(323\) −595799. −0.317756
\(324\) 806412. + 1.70885e6i 0.426771 + 0.904360i
\(325\) −491127. −0.257920
\(326\) −1.27848e6 457461.i −0.666267 0.238402i
\(327\) −290934. 363669.i −0.150462 0.188077i
\(328\) −770691. + 1.38669e6i −0.395545 + 0.711698i
\(329\) −492799. + 284518.i −0.251004 + 0.144917i
\(330\) 372680. + 1.08408e6i 0.188387 + 0.547997i
\(331\) 128289. + 74067.9i 0.0643607 + 0.0371587i 0.531835 0.846848i \(-0.321503\pi\)
−0.467474 + 0.884007i \(0.654836\pi\)
\(332\) 3.60399e6 1.35636e6i 1.79448 0.675352i
\(333\) −279721. + 1.24319e6i −0.138234 + 0.614365i
\(334\) −1.61098e6 + 293111.i −0.790177 + 0.143769i
\(335\) −1.28158e6 + 2.21976e6i −0.623928 + 1.08067i
\(336\) 587207. 212652.i 0.283755 0.102759i
\(337\) 191733. + 332092.i 0.0919651 + 0.159288i 0.908338 0.418237i \(-0.137352\pi\)
−0.816373 + 0.577525i \(0.804019\pi\)
\(338\) −2.78673e6 3.28462e6i −1.32679 1.56384i
\(339\) −3.59437e6 1.40430e6i −1.69873 0.663682i
\(340\) −98434.3 + 596132.i −0.0461795 + 0.279669i
\(341\) 1.74195e6i 0.811239i
\(342\) 1.39069e6 2.19403e6i 0.642930 1.01432i
\(343\) 1.25524e6i 0.576091i
\(344\) 1.83507e6 29972.5i 0.836095 0.0136561i
\(345\) −337398. 2.21531e6i −0.152614 1.00205i
\(346\) 2.44465e6 2.07409e6i 1.09781 0.931400i
\(347\) −602848. 1.04416e6i −0.268772 0.465527i 0.699773 0.714365i \(-0.253284\pi\)
−0.968545 + 0.248839i \(0.919951\pi\)
\(348\) 1.52560e6 2.56773e6i 0.675294 1.13658i
\(349\) −145755. + 252456.i −0.0640562 + 0.110949i −0.896275 0.443499i \(-0.853737\pi\)
0.832219 + 0.554447i \(0.187070\pi\)
\(350\) −18281.7 100479.i −0.00797714 0.0438435i
\(351\) 3.34154e6 + 2.25566e6i 1.44770 + 0.977250i
\(352\) 781744. 984887.i 0.336285 0.423672i
\(353\) −162770. 93975.5i −0.0695246 0.0401400i 0.464835 0.885397i \(-0.346114\pi\)
−0.534359 + 0.845257i \(0.679447\pi\)
\(354\) −121012. 105299.i −0.0513239 0.0446598i
\(355\) 1.52526e6 880610.i 0.642352 0.370862i
\(356\) −720618. + 878039.i −0.301356 + 0.367188i
\(357\) 190096. 28952.0i 0.0789409 0.0120229i
\(358\) 840199. 2.34812e6i 0.346477 0.968307i
\(359\) −1.70884e6 −0.699786 −0.349893 0.936790i \(-0.613782\pi\)
−0.349893 + 0.936790i \(0.613782\pi\)
\(360\) −1.96549e6 1.75395e6i −0.799309 0.713280i
\(361\) −1.09496e6 −0.442211
\(362\) −197920. + 553132.i −0.0793814 + 0.221849i
\(363\) −646293. + 1.65422e6i −0.257432 + 0.658911i
\(364\) 845348. 1.03002e6i 0.334412 0.407466i
\(365\) −1.97201e6 + 1.13854e6i −0.774776 + 0.447317i
\(366\) −823917. + 4.22752e6i −0.321500 + 1.64962i
\(367\) −3.26612e6 1.88569e6i −1.26581 0.730813i −0.291614 0.956536i \(-0.594192\pi\)
−0.974191 + 0.225723i \(0.927526\pi\)
\(368\) −1.84808e6 + 1.62059e6i −0.711378 + 0.623810i
\(369\) −634002. 2.03311e6i −0.242396 0.777312i
\(370\) −318004. 1.74779e6i −0.120761 0.663722i
\(371\) 384031. 665162.i 0.144855 0.250895i
\(372\) 1.95797e6 + 3.49141e6i 0.733582 + 1.30811i
\(373\) 1.13464e6 + 1.96526e6i 0.422267 + 0.731388i 0.996161 0.0875420i \(-0.0279012\pi\)
−0.573894 + 0.818930i \(0.694568\pi\)
\(374\) 295218. 250469.i 0.109135 0.0925923i
\(375\) 1.94167e6 1.55333e6i 0.713012 0.570408i
\(376\) −42996.2 2.63244e6i −0.0156841 0.960261i
\(377\) 6.37257e6i 2.30920i
\(378\) −337097. + 767605.i −0.121346 + 0.276318i
\(379\) 4.07165e6i 1.45604i −0.685557 0.728019i \(-0.740441\pi\)
0.685557 0.728019i \(-0.259559\pi\)
\(380\) −589989. + 3.57305e6i −0.209597 + 1.26935i
\(381\) −3.23743e6 + 2.58994e6i −1.14258 + 0.914065i
\(382\) −1.57749e6 1.85932e6i −0.553104 0.651923i
\(383\) 1.22056e6 + 2.11407e6i 0.425170 + 0.736415i 0.996436 0.0843491i \(-0.0268811\pi\)
−0.571267 + 0.820765i \(0.693548\pi\)
\(384\) −459835. + 2.85271e6i −0.159138 + 0.987256i
\(385\) −254307. + 440473.i −0.0874393 + 0.151449i
\(386\) −230922. + 42015.2i −0.0788854 + 0.0143529i
\(387\) −1.67018e6 + 1.81119e6i −0.566873 + 0.614733i
\(388\) −89345.5 + 33625.2i −0.0301296 + 0.0113393i
\(389\) 924047. + 533499.i 0.309614 + 0.178756i 0.646754 0.762699i \(-0.276126\pi\)
−0.337140 + 0.941455i \(0.609460\pi\)
\(390\) −5.51676e6 1.07518e6i −1.83663 0.357949i
\(391\) −655407. + 378399.i −0.216805 + 0.125172i
\(392\) −2.41708e6 1.34336e6i −0.794468 0.441546i
\(393\) −421630. + 1.07918e6i −0.137705 + 0.352463i
\(394\) 1.88338e6 + 673906.i 0.611220 + 0.218705i
\(395\) 889166. 0.286741
\(396\) 233266. + 1.67177e6i 0.0747503 + 0.535722i
\(397\) −2.64187e6 −0.841271 −0.420635 0.907230i \(-0.638193\pi\)
−0.420635 + 0.907230i \(0.638193\pi\)
\(398\) 892737. + 319437.i 0.282498 + 0.101083i
\(399\) 1.13938e6 173531.i 0.358292 0.0545688i
\(400\) 447442. + 151907.i 0.139826 + 0.0474708i
\(401\) 2.41745e6 1.39571e6i 0.750751 0.433446i −0.0752142 0.997167i \(-0.523964\pi\)
0.825965 + 0.563721i \(0.190631\pi\)
\(402\) −2.47749e6 + 2.84718e6i −0.764622 + 0.878719i
\(403\) 7.39649e6 + 4.27037e6i 2.26863 + 1.30979i
\(404\) −592671. 1.57479e6i −0.180659 0.480030i
\(405\) 3.52468e6 286001.i 1.06778 0.0866424i
\(406\) 1.30376e6 237213.i 0.392538 0.0714205i
\(407\) −569159. + 985812.i −0.170313 + 0.294990i
\(408\) −310180. + 833848.i −0.0922494 + 0.247991i
\(409\) −502887. 871025.i −0.148649 0.257468i 0.782079 0.623179i \(-0.214159\pi\)
−0.930728 + 0.365711i \(0.880826\pi\)
\(410\) 1.92081e6 + 2.26398e6i 0.564318 + 0.665141i
\(411\) 54487.9 + 357761.i 0.0159109 + 0.104469i
\(412\) −379811. 62715.0i −0.110236 0.0182024i
\(413\) 71171.2i 0.0205319i
\(414\) 136366. 3.29677e6i 0.0391027 0.945340i
\(415\) 7.20660e6i 2.05404i
\(416\) 2.26550e6 + 5.73381e6i 0.641845 + 1.62446i
\(417\) 4.81836e6 + 1.88250e6i 1.35693 + 0.530145i
\(418\) 1.76946e6 1.50124e6i 0.495336 0.420253i
\(419\) −2.85052e6 4.93724e6i −0.793210 1.37388i −0.923969 0.382466i \(-0.875075\pi\)
0.130759 0.991414i \(1.54174\pi\)
\(420\) 14614.2 1.16869e6i 0.00404252 0.323278i
\(421\) −2.95835e6 + 5.12400e6i −0.813474 + 1.40898i 0.0969446 + 0.995290i \(0.469093\pi\)
−0.910419 + 0.413688i \(0.864240\pi\)
\(422\) 71201.1 + 391332.i 0.0194628 + 0.106971i
\(423\) 2.59819e6 + 2.39591e6i 0.706025 + 0.651057i
\(424\) 1.82685e6 + 3.04812e6i 0.493500 + 0.823412i
\(425\) 125996. + 72743.8i 0.0338364 + 0.0195355i
\(426\) 2.45247e6 843095.i 0.654755 0.225088i
\(427\) −1.65493e6 + 955477.i −0.439249 + 0.253601i
\(428\) −2.21534e6 1.81816e6i −0.584563 0.479759i
\(429\) 2.24982e6 + 2.81228e6i 0.590207 + 0.737761i
\(430\) 1.15716e6 3.23394e6i 0.301802 0.843452i
\(431\) −516224. −0.133858 −0.0669291 0.997758i \(-0.521320\pi\)
−0.0669291 + 0.997758i \(0.521320\pi\)
\(432\) −2.34663e6 3.08857e6i −0.604973 0.796246i
\(433\) 6.50137e6 1.66642 0.833212 0.552954i \(-0.186499\pi\)
0.833212 + 0.552954i \(0.186499\pi\)
\(434\) −598342. + 1.67220e6i −0.152484 + 0.426151i
\(435\) −3.49180e6 4.36476e6i −0.884761 1.10595i
\(436\) 739014. + 606518.i 0.186181 + 0.152801i
\(437\) −3.92833e6 + 2.26802e6i −0.984021 + 0.568125i
\(438\) −3.17079e6 + 1.09004e6i −0.789736 + 0.271491i
\(439\) 762498. + 440228.i 0.188833 + 0.109023i 0.591436 0.806352i \(-0.298561\pi\)
−0.402603 + 0.915375i \(0.631895\pi\)
\(440\) −1.20974e6 2.01848e6i −0.297894 0.497041i
\(441\) 3.54383e6 1.10510e6i 0.867713 0.270586i
\(442\) 339793. + 1.86755e6i 0.0827292 + 0.454692i
\(443\) 372571. 645312.i 0.0901985 0.156228i −0.817396 0.576076i \(-0.804583\pi\)
0.907595 + 0.419848i \(0.137917\pi\)
\(444\) 32707.8 2.61562e6i 0.00787396 0.629676i
\(445\) 1.06289e6 + 1.84098e6i 0.254442 + 0.440706i
\(446\) 2.18964e6 1.85773e6i 0.521238 0.442228i
\(447\) 4.82521e6 + 1.88518e6i 1.14221 + 0.446256i
\(448\) −1.08874e6 + 676931.i −0.256289 + 0.159349i
\(449\) 3.80614e6i 0.890983i −0.895286 0.445492i \(-0.853029\pi\)
0.895286 0.445492i \(-0.146971\pi\)
\(450\) −561973. + 294185.i −0.130823 + 0.0684839i
\(451\) 1.90246e6i 0.440427i
\(452\) 7.81584e6 + 1.29056e6i 1.79941 + 0.297121i
\(453\) −814454. 5.34761e6i −0.186475 1.22437i
\(454\) −401036. 472686.i −0.0913154 0.107630i
\(455\) −1.24686e6 2.15963e6i −0.282352 0.489047i
\(456\) −1.85914e6 + 4.99786e6i −0.418696 + 1.12557i
\(457\) −1.54711e6 + 2.67967e6i −0.346521 + 0.600192i −0.985629 0.168925i \(-0.945970\pi\)
0.639108 + 0.769117i \(0.279304\pi\)
\(458\) −2.00618e6 + 365015.i −0.446895 + 0.0813106i
\(459\) −523154. 1.07361e6i −0.115904 0.237857i
\(460\) 1.62028e6 + 4.30524e6i 0.357021 + 0.948642i
\(461\) −6.16631e6 3.56012e6i −1.35137 0.780212i −0.362926 0.931818i \(-0.618222\pi\)
−0.988441 + 0.151606i \(0.951556\pi\)
\(462\) −491614. + 564972.i −0.107157 + 0.123146i
\(463\) −4.12079e6 + 2.37914e6i −0.893363 + 0.515784i −0.875041 0.484049i \(-0.839166\pi\)
−0.0183222 + 0.999832i \(0.505832\pi\)
\(464\) −1.97105e6 + 5.80575e6i −0.425014 + 1.25188i
\(465\) 7.40598e6 1.12795e6i 1.58836 0.241912i
\(466\) −4.99975e6 1.78900e6i −1.06656 0.381632i
\(467\) 7.37952e6 1.56580 0.782900 0.622148i \(-0.213740\pi\)
0.782900 + 0.622148i \(0.213740\pi\)
\(468\) −7.67038e6 3.10787e6i −1.61883 0.655916i
\(469\) −1.67452e6 −0.351528
\(470\) −4.63915e6 1.65997e6i −0.968710 0.346621i
\(471\) −823374. + 2.10747e6i −0.171019 + 0.437732i
\(472\) 287826. + 159967.i 0.0594670 + 0.0330503i
\(473\) −1.90600e6 + 1.10043e6i −0.391716 + 0.226157i
\(474\) 1.28509e6 + 250456.i 0.262716 + 0.0512018i
\(475\) 755186. + 436007.i 0.153575 + 0.0886665i
\(476\) −369432. + 139036.i −0.0747338 + 0.0281260i
\(477\) −4.65405e6 1.04717e6i −0.936560 0.210728i
\(478\) 1.81454e6 330148.i 0.363243 0.0660904i
\(479\) 553793. 959197.i 0.110283 0.191016i −0.805601 0.592458i \(-0.798158\pi\)
0.915884 + 0.401442i \(0.131491\pi\)
\(480\) 4.69350e6 + 2.68589e6i 0.929809 + 0.532090i
\(481\) −2.79058e6 4.83342e6i −0.549960 0.952559i
\(482\) 277429. + 326995.i 0.0543919 + 0.0641097i
\(483\) 1.14316e6 914528.i 0.222967 0.178373i
\(484\) 593950. 3.59705e6i 0.115249 0.697963i
\(485\) 178657.i 0.0344878i
\(486\) 5.17469e6 + 579465.i 0.993789 + 0.111285i
\(487\) 763869.i 0.145948i −0.997334 0.0729738i \(-0.976751\pi\)
0.997334 0.0729738i \(-0.0232489\pi\)
\(488\) −144391. 8.84036e6i −0.0274468 1.68043i
\(489\) −2.92186e6 + 2.33749e6i −0.552571 + 0.442056i
\(490\) −3.94625e6 + 3.34807e6i −0.742496 + 0.629948i
\(491\) 3.47276e6 + 6.01500e6i 0.650087 + 1.12598i 0.983101 + 0.183061i \(0.0586007\pi\)
−0.333015 + 0.942922i \(0.608066\pi\)
\(492\) 2.13839e6 + 3.81312e6i 0.398266 + 0.710179i
\(493\) −943881. + 1.63485e6i −0.174904 + 0.302943i
\(494\) 2.03663e6 + 1.11936e7i 0.375486 + 2.06373i
\(495\) 3.08193e6 + 693442.i 0.565340 + 0.127203i
\(496\) −5.41775e6 6.17828e6i −0.988815 1.12762i
\(497\) 996459. + 575306.i 0.180954 + 0.104474i
\(498\) 2.02992e6 1.04155e7i 0.366780 1.88195i
\(499\) −5.34730e6 + 3.08727e6i −0.961354 + 0.555038i −0.896590 0.442862i \(-0.853963\pi\)
−0.0647647 + 0.997901i \(0.520630\pi\)
\(500\) −3.23827e6 + 3.94567e6i −0.579279 + 0.705824i
\(501\) −1.64203e6 + 4.20285e6i −0.292271 + 0.748082i
\(502\) −1.85161e6 + 5.17472e6i −0.327936 + 0.916490i
\(503\) −3.43627e6 −0.605574 −0.302787 0.953058i \(-0.597917\pi\)
−0.302787 + 0.953058i \(0.597917\pi\)
\(504\) 350312. 1.68496e6i 0.0614298 0.295470i
\(505\) −3.14897e6 −0.549465
\(506\) 993031. 2.77525e6i 0.172420 0.481865i
\(507\) −1.17348e7 + 1.78723e6i −2.02747 + 0.308789i
\(508\) 5.39931e6 6.57880e6i 0.928280 1.13106i
\(509\) 2.45696e6 1.41853e6i 0.420343 0.242685i −0.274881 0.961478i \(-0.588638\pi\)
0.695224 + 0.718793i \(0.255305\pi\)
\(510\) 1.25604e6 + 1.09295e6i 0.213835 + 0.186070i
\(511\) −1.28832e6 743811.i −0.218259 0.126012i
\(512\) −290506. 5.92452e6i −0.0489756 0.998800i
\(513\) −3.13564e6 6.43494e6i −0.526057 1.07957i
\(514\) 1.39783e6 + 7.68266e6i 0.233370 + 1.28264i
\(515\) −360214. + 623909.i −0.0598470 + 0.103658i
\(516\) 2.58333e6 4.34798e6i 0.427126 0.718892i
\(517\) 1.57859e6 + 2.73420e6i 0.259743 + 0.449888i
\(518\) 884987. 750840.i 0.144915 0.122948i
\(519\) −1.33019e6 8.73385e6i −0.216768 1.42327i
\(520\) 1.15363e7 188425.i 1.87094 0.0305584i
\(521\) 1.84176e6i 0.297261i 0.988893 + 0.148631i \(0.0474866\pi\)
−0.988893 + 0.148631i \(0.952513\pi\)
\(522\) −3.81716e6 7.29183e6i −0.613147 1.17128i
\(523\) 1.03954e7i 1.66183i 0.556398 + 0.830916i \(0.312183\pi\)
−0.556398 + 0.830916i \(0.687817\pi\)
\(524\) 387483. 2.34665e6i 0.0616487 0.373353i
\(525\) −262137. 102415.i −0.0415079 0.0162169i
\(526\) −1.76156e6 2.07628e6i −0.277608 0.327207i
\(527\) −1.26502e6 2.19108e6i −0.198413 0.343662i
\(528\) −1.17986e6 3.25801e6i −0.184181 0.508589i
\(529\) 337272. 584172.i 0.0524012 0.0907615i
\(530\) 6.54312e6 1.19049e6i 1.01180 0.184093i
\(531\) −421999. + 131596.i −0.0649494 + 0.0202537i
\(532\) −2.21427e6 + 833342.i −0.339197 + 0.127657i
\(533\) 8.07804e6 + 4.66386e6i 1.23165 + 0.711094i
\(534\) 1.01761e6 + 2.96011e6i 0.154429 + 0.449216i
\(535\) −4.64490e6 + 2.68173e6i −0.701603 + 0.405071i
\(536\) 3.76372e6 6.77201e6i 0.565856 1.01814i
\(537\) −4.29316e6 5.36646e6i −0.642453 0.803068i
\(538\) −5.97327e6 2.13734e6i −0.889726 0.318359i
\(539\) 3.31609e6 0.491648
\(540\) −6.95659e6 + 2.07425e6i −1.02663 + 0.306110i
\(541\) 330411. 0.0485357 0.0242679 0.999705i \(-0.492275\pi\)
0.0242679 + 0.999705i \(0.492275\pi\)
\(542\) 4.65149e6 + 1.66438e6i 0.680133 + 0.243364i
\(543\) 1.01131e6 + 1.26414e6i 0.147193 + 0.183991i
\(544\) 268069. 1.80654e6i 0.0388373 0.261727i
\(545\) 1.54949e6 894596.i 0.223458 0.129014i
\(546\) −1.19375e6 3.47247e6i −0.171368 0.498490i
\(547\) 1.06834e7 + 6.16808e6i 1.52666 + 0.881417i 0.999499 + 0.0316507i \(0.0100764\pi\)
0.527160 + 0.849766i \(0.323257\pi\)
\(548\) −261666. 695272.i −0.0372216 0.0989017i
\(549\) 8.72533e6 + 8.04602e6i 1.23552 + 1.13933i
\(550\) −557489. + 101433.i −0.0785832 + 0.0142979i
\(551\) −5.65737e6 + 9.79885e6i −0.793845 + 1.37498i
\(552\) 1.12907e6 + 6.67864e6i 0.157714 + 0.932911i
\(553\) 290448. + 503070.i 0.0403883 + 0.0699545i
\(554\) 6.58887e6 + 7.76606e6i 0.912088 + 1.07504i
\(555\) −4.55978e6 1.78147e6i −0.628364 0.245498i
\(556\) −1.04774e7 1.73004e6i −1.43736 0.237339i
\(557\) 5.94173e6i 0.811474i 0.913990 + 0.405737i \(0.132985\pi\)
−0.913990 + 0.405737i \(0.867015\pi\)
\(558\) 1.10214e7 + 455884.i 1.49848 + 0.0619825i
\(559\) 1.07908e7i 1.46058i
\(560\) 467979. + 2.35319e6i 0.0630603 + 0.317094i
\(561\) −160635. 1.05471e6i −0.0215493 0.141490i
\(562\) 1.17774e6 999214.i 0.157292 0.133450i
\(563\) −66573.9 115309.i −0.00885182 0.0153318i 0.861566 0.507646i \(-0.169484\pi\)
−0.870417 + 0.492315i \(0.836151\pi\)
\(564\) −6.23728e6 3.70584e6i −0.825652 0.490557i
\(565\) 7.41258e6 1.28390e7i 0.976896 1.69203i
\(566\) −753521. 4.14146e6i −0.0988676 0.543391i
\(567\) 1.31316e6 + 1.90076e6i 0.171537 + 0.248296i
\(568\) −4.56629e6 + 2.73674e6i −0.593872 + 0.355929i
\(569\) 3.70587e6 + 2.13959e6i 0.479854 + 0.277044i 0.720356 0.693605i \(-0.243979\pi\)
−0.240501 + 0.970649i \(0.577312\pi\)
\(570\) 7.52839e6 + 6.55087e6i 0.970543 + 0.844523i
\(571\) 525371. 303323.i 0.0674335 0.0389328i −0.465904 0.884835i \(-0.654271\pi\)
0.533338 + 0.845902i \(0.320938\pi\)
\(572\) −5.71485e6 4.69025e6i −0.730323 0.599386i
\(573\) −6.64270e6 + 1.01170e6i −0.845197 + 0.128726i
\(574\) −653476. + 1.82628e6i −0.0827846 + 0.231360i
\(575\) 1.10765e6 0.139712
\(576\) 6.02685e6 + 5.20389e6i 0.756892 + 0.653540i
\(577\) −496600. −0.0620965 −0.0310483 0.999518i \(-0.509885\pi\)
−0.0310483 + 0.999518i \(0.509885\pi\)
\(578\) −2.51651e6 + 7.03294e6i −0.313313 + 0.875624i
\(579\) −235372. + 602446.i −0.0291782 + 0.0746830i
\(580\) 8.86965e6 + 7.27944e6i 1.09480 + 0.898520i
\(581\) 4.07733e6 2.35405e6i 0.501113 0.289318i
\(582\) −50323.2 + 258208.i −0.00615829 + 0.0315982i
\(583\) −3.69053e6 2.13073e6i −0.449694 0.259631i
\(584\) 5.90375e6 3.53833e6i 0.716302 0.429305i
\(585\) −1.04998e7 + 1.13862e7i −1.26850 + 1.37560i
\(586\) −386561. 2.12460e6i −0.0465023 0.255583i
\(587\) 7.37488e6 1.27737e7i 0.883405 1.53010i 0.0358744 0.999356i \(-0.488578\pi\)
0.847531 0.530746i \(-0.178088\pi\)
\(588\) −6.64648e6 + 3.72732e6i −0.792772 + 0.444584i
\(589\) −7.58219e6 1.31327e7i −0.900547 1.55979i
\(590\) 469919. 398689.i 0.0555768 0.0471524i
\(591\) 4.30433e6 3.44346e6i 0.506917 0.405533i
\(592\) 1.04737e6 + 5.26663e6i 0.122828 + 0.617630i
\(593\) 1.01532e7i 1.18568i 0.805322 + 0.592838i \(0.201992\pi\)
−0.805322 + 0.592838i \(0.798008\pi\)
\(594\) 4.25891e6 + 1.87032e6i 0.495259 + 0.217495i
\(595\) 738722.i 0.0855438i
\(596\) −1.04923e7 1.73250e6i −1.20991 0.199783i
\(597\) 2.04029e6 1.63223e6i 0.234291 0.187432i
\(598\) 9.34959e6 + 1.10200e7i 1.06915 + 1.26017i
\(599\) 5.29325e6 + 9.16817e6i 0.602775 + 1.04404i 0.992399 + 0.123062i \(0.0392715\pi\)
−0.389624 + 0.920974i \(0.627395\pi\)
\(600\) 1.00337e6 829928.i 0.113785 0.0941157i
\(601\) 6.67071e6 1.15540e7i 0.753331 1.30481i −0.192869 0.981224i \(-0.561779\pi\)
0.946200 0.323583i \(-0.104887\pi\)
\(602\) 2.20768e6 401677.i 0.248281 0.0451737i
\(603\) 3.09619e6 + 9.92884e6i 0.346765 + 1.11200i
\(604\) 3.91123e6 + 1.03925e7i 0.436235 + 1.15912i
\(605\) −5.90881e6 3.41146e6i −0.656314 0.378923i
\(606\) −4.55113e6 886987.i −0.503428 0.0981150i
\(607\) 6.57795e6 3.79778e6i 0.724635 0.418368i −0.0918216 0.995775i \(-0.529269\pi\)
0.816456 + 0.577408i \(0.195936\pi\)
\(608\) 1.60673e6 1.08279e7i 0.176273 1.18791i
\(609\) 1.32888e6 3.40134e6i 0.145192 0.371626i
\(610\) −1.55793e7 5.57456e6i −1.69521 0.606577i
\(611\) −1.54796e7 −1.67748
\(612\) 1.50747e6 + 1.93341e6i 0.162693 + 0.208663i
\(613\) 1.15773e7 1.24438 0.622192 0.782865i \(-0.286242\pi\)
0.622192 + 0.782865i \(0.286242\pi\)
\(614\) −1.71495e7 6.13637e6i −1.83582 0.656887i
\(615\) 8.08840e6 1.23188e6i 0.862333 0.131335i
\(616\) 746844. 1.34378e6i 0.0793009 0.142685i
\(617\) −4.79775e6 + 2.76998e6i −0.507370 + 0.292930i −0.731752 0.681571i \(-0.761297\pi\)
0.224382 + 0.974501i \(0.427964\pi\)
\(618\) −696348. + 800257.i −0.0733424 + 0.0842866i
\(619\) 399838. + 230847.i 0.0419428 + 0.0242157i 0.520825 0.853664i \(-0.325624\pi\)
−0.478882 + 0.877879i \(0.658958\pi\)
\(620\) −1.43928e7 + 5.41672e6i −1.50371 + 0.565923i
\(621\) −7.53627e6 5.08726e6i −0.784201 0.529364i
\(622\) −8.63579e6 + 1.57124e6i −0.895006 + 0.162842i
\(623\) −694390. + 1.20272e6i −0.0716776 + 0.124149i
\(624\) 1.67263e7 + 2.97718e6i 1.71964 + 0.306086i
\(625\) 5.49736e6 + 9.52171e6i 0.562930 + 0.975023i
\(626\) 1.93228e6 + 2.27751e6i 0.197076 + 0.232287i
\(627\) −962803. 6.32165e6i −0.0978066 0.642187i
\(628\) 756689. 4.58262e6i 0.0765629 0.463676i
\(629\) 1.65332e6i 0.166621i
\(630\) −2.72034e6 1.72429e6i −0.273069 0.173085i
\(631\) 1.33405e7i 1.33383i −0.745136 0.666913i \(-0.767615\pi\)
0.745136 0.666913i \(-0.232385\pi\)
\(632\) −2.68731e6 + 43892.3i −0.267624 + 0.00437115i
\(633\) 1.02094e6 + 398873.i 0.101272 + 0.0395663i
\(634\) −3.80904e6 + 3.23166e6i −0.376350 + 0.319303i
\(635\) −7.96382e6 1.37937e7i −0.783767 1.35752i
\(636\) 9.79193e6 + 122446.i 0.959899 + 0.0120033i
\(637\) −8.12936e6 + 1.40805e7i −0.793794 + 1.37489i
\(638\) −1.31613e6 7.23365e6i −0.128011 0.703567i
\(639\) 1.56874e6 6.97209e6i 0.151984 0.675478i
\(640\) −1.05685e7 3.39655e6i −1.01991 0.327784i
\(641\) −2.31892e6 1.33883e6i −0.222915 0.128700i 0.384384 0.923173i \(-0.374414\pi\)
−0.607299 + 0.794473i \(0.707747\pi\)
\(642\) −7.46853e6 + 2.56749e6i −0.715151 + 0.245850i
\(643\) 1.46328e7 8.44826e6i 1.39573 0.805824i 0.401786 0.915734i \(-0.368390\pi\)
0.993942 + 0.109910i \(0.0350563\pi\)
\(644\) −1.90654e6 + 2.32303e6i −0.181147 + 0.220719i
\(645\) −5.91273e6 7.39093e6i −0.559614 0.699519i
\(646\) 1.13547e6 3.17332e6i 0.107052 0.299180i
\(647\) −7.65712e6 −0.719126 −0.359563 0.933121i \(-0.617074\pi\)
−0.359563 + 0.933121i \(0.617074\pi\)
\(648\) −1.06385e7 + 1.03837e6i −0.995270 + 0.0971434i
\(649\) −394880. −0.0368005
\(650\) 935986. 2.61582e6i 0.0868932 0.242842i
\(651\) 3.05735e6 + 3.82169e6i 0.282743 + 0.353430i
\(652\) 4.87302e6 5.93754e6i 0.448930 0.547000i
\(653\) 957462. 552791.i 0.0878696 0.0507315i −0.455421 0.890276i \(-0.650511\pi\)
0.543291 + 0.839544i \(0.317178\pi\)
\(654\) 2.49142e6 856485.i 0.227773 0.0783025i
\(655\) −3.85480e6 2.22557e6i −0.351074 0.202693i
\(656\) −5.91697e6 6.74757e6i −0.536834 0.612192i
\(657\) −2.02822e6 + 9.01421e6i −0.183316 + 0.814731i
\(658\) −576214. 3.16696e6i −0.0518823 0.285153i
\(659\) 7.66650e6 1.32788e7i 0.687675 1.19109i −0.284912 0.958554i \(-0.591965\pi\)
0.972588 0.232535i \(-0.0747021\pi\)
\(660\) −6.48425e6 81084.2i −0.579429 0.00724564i
\(661\) 3.77496e6 + 6.53842e6i 0.336054 + 0.582062i 0.983687 0.179890i \(-0.0575743\pi\)
−0.647633 + 0.761952i \(0.724241\pi\)
\(662\) −638990. + 542131.i −0.0566695 + 0.0480795i
\(663\) 4.87221e6 + 1.90354e6i 0.430469 + 0.168181i
\(664\) 355742. + 2.17803e7i 0.0313123 + 1.91710i
\(665\) 4.42770e6i 0.388261i
\(666\) −6.08833e6 3.85910e6i −0.531879 0.337132i
\(667\) 1.43723e7i 1.25087i
\(668\) 1.50904e6 9.13895e6i 0.130846 0.792420i
\(669\) −1.19143e6 7.82280e6i −0.102921 0.675767i
\(670\) −9.38039e6 1.10563e7i −0.807298 0.951532i
\(671\) 5.30128e6 + 9.18209e6i 0.454543 + 0.787291i
\(672\) 13522.3 + 3.53283e6i 0.00115512 + 0.301786i
\(673\) 1.45359e6 2.51769e6i 0.123710 0.214271i −0.797518 0.603295i \(-0.793854\pi\)
0.921228 + 0.389023i \(0.127188\pi\)
\(674\) −2.13418e6 + 388304.i −0.180959 + 0.0329248i
\(675\) −122565. + 1.74367e6i −0.0103540 + 0.147301i
\(676\) 2.28053e7 8.58278e6i 1.91942 0.722372i
\(677\) 8.20582e6 + 4.73763e6i 0.688098 + 0.397274i 0.802899 0.596115i \(-0.203290\pi\)
−0.114801 + 0.993389i \(0.536623\pi\)
\(678\) 1.43296e7 1.64679e7i 1.19718 1.37583i
\(679\) −101080. + 58358.6i −0.00841377 + 0.00485769i
\(680\) −2.98750e6 1.66038e6i −0.247762 0.137700i
\(681\) −1.68874e6 + 257199.i −0.139539 + 0.0212521i
\(682\) 9.27788e6 + 3.31979e6i 0.763814 + 0.273306i
\(683\) 6.62953e6 0.543789 0.271895 0.962327i \(-0.412350\pi\)
0.271895 + 0.962327i \(0.412350\pi\)
\(684\) 9.03537e6 + 1.15884e7i 0.738424 + 0.947070i
\(685\) −1.39028e6 −0.113208
\(686\) −6.68560e6 2.39222e6i −0.542413 0.194085i
\(687\) −2.04484e6 + 5.23386e6i −0.165298 + 0.423088i
\(688\) −3.33762e6 + 9.83098e6i −0.268822 + 0.791819i
\(689\) 1.80946e7 1.04469e7i 1.45211 0.838378i
\(690\) 1.24421e7 + 2.42489e6i 0.994882 + 0.193896i
\(691\) −6.59285e6 3.80638e6i −0.525264 0.303261i 0.213822 0.976873i \(-0.431409\pi\)
−0.739086 + 0.673611i \(0.764742\pi\)
\(692\) 6.38792e6 + 1.69733e7i 0.507101 + 1.34742i
\(693\) 614384. + 1.97020e6i 0.0485967 + 0.155840i
\(694\) 6.71028e6 1.22091e6i 0.528861 0.0962240i
\(695\) −9.93677e6 + 1.72110e7i −0.780339 + 1.35159i
\(696\) 1.07686e7 + 1.30192e7i 0.842632 + 1.01873i
\(697\) −1.38159e6 2.39298e6i −0.107720 0.186576i
\(698\) −1.06684e6 1.25744e6i −0.0828821 0.0976900i
\(699\) −1.14266e7 + 9.14123e6i −0.884551 + 0.707639i
\(700\) 570009. + 94120.8i 0.0439680 + 0.00726007i
\(701\) 3.35628e6i 0.257966i −0.991647 0.128983i \(-0.958829\pi\)
0.991647 0.128983i \(-0.0411713\pi\)
\(702\) −1.83823e7 + 1.34987e7i −1.40785 + 1.03383i
\(703\) 9.90954e6i 0.756249i
\(704\) 3.75582e6 + 6.04068e6i 0.285610 + 0.459361i
\(705\) −1.06024e7 + 8.48193e6i −0.803403 + 0.642720i
\(706\) 810734. 687842.i 0.0612163 0.0519370i
\(707\) −1.02862e6 1.78162e6i −0.0773936 0.134050i
\(708\) 791463. 443850.i 0.0593400 0.0332777i
\(709\) 3.57561e6 6.19313e6i 0.267137 0.462695i −0.700984 0.713177i \(-0.747256\pi\)
0.968121 + 0.250482i \(0.0805890\pi\)
\(710\) 1.78344e6 + 9.80204e6i 0.132774 + 0.729744i
\(711\) 2.44584e6 2.65234e6i 0.181449 0.196769i
\(712\) −3.30323e6 5.51149e6i −0.244196 0.407445i
\(713\) −1.66815e7 9.63109e6i −1.22889 0.709499i
\(714\) −208080. + 1.06766e6i −0.0152751 + 0.0783765i
\(715\) −1.19823e7 + 6.91798e6i −0.876547 + 0.506074i
\(716\) 1.09052e7 + 8.95006e6i 0.794972 + 0.652444i
\(717\) 1.84951e6 4.73391e6i 0.134356 0.343892i
\(718\) 3.25669e6 9.10155e6i 0.235758 0.658877i
\(719\) −1.05572e7 −0.761603 −0.380801 0.924657i \(-0.624352\pi\)
−0.380801 + 0.924657i \(0.624352\pi\)
\(720\) 1.30876e7 7.12586e6i 0.940869 0.512279i
\(721\) −470659. −0.0337185
\(722\) 2.08676e6 5.83191e6i 0.148981 0.416359i
\(723\) 1.16824e6 177925.i 0.0831161 0.0126588i
\(724\) −2.56887e6 2.10831e6i −0.182136 0.149482i
\(725\) 2.39278e6 1.38147e6i 0.169066 0.0976104i
\(726\) −7.57894e6 6.59486e6i −0.533663 0.464370i
\(727\) 457178. + 263952.i 0.0320811 + 0.0185220i 0.515955 0.856616i \(-0.327437\pi\)
−0.483874 + 0.875138i \(0.660771\pi\)
\(728\) 3.87498e6 + 6.46546e6i 0.270982 + 0.452138i
\(729\) 8.84227e6 1.13007e7i 0.616233 0.787564i
\(730\) −2.30580e6 1.26730e7i −0.160146 0.880184i
\(731\) −1.59829e6 + 2.76832e6i −0.110627 + 0.191612i
\(732\) −2.09462e7 1.24451e7i −1.44487 0.858460i
\(733\) −1.01725e7 1.76192e7i −0.699304 1.21123i −0.968708 0.248202i \(-0.920160\pi\)
0.269404 0.963027i \(-0.413173\pi\)
\(734\) 1.62681e7 1.38021e7i 1.11454 0.945596i
\(735\) 2.14724e6 + 1.40985e7i 0.146610 + 0.962621i
\(736\) −5.10945e6 1.29316e7i −0.347680 0.879953i
\(737\) 9.29078e6i 0.630062i
\(738\) 1.20370e7 + 497892.i 0.813534 + 0.0336507i
\(739\) 4.56621e6i 0.307570i −0.988104 0.153785i \(-0.950854\pi\)
0.988104 0.153785i \(-0.0491464\pi\)
\(740\) 9.91508e6 + 1.63719e6i 0.665605 + 0.109906i
\(741\) 2.92027e7 + 1.14093e7i 1.95379 + 0.763332i
\(742\) 2.81087e6 + 3.31307e6i 0.187427 + 0.220913i
\(743\) 8.52924e6 + 1.47731e7i 0.566811 + 0.981745i 0.996879 + 0.0789485i \(0.0251563\pi\)
−0.430068 + 0.902797i \(0.641510\pi\)
\(744\) −2.23273e7 + 3.77456e6i −1.47878 + 0.249997i
\(745\) −9.95091e6 + 1.72355e7i −0.656859 + 1.13771i
\(746\) −1.26297e7 + 2.29791e6i −0.830893 + 0.151177i
\(747\) −2.14970e7 1.98233e7i −1.40953 1.29979i
\(748\) 771413. + 2.04972e6i 0.0504119 + 0.133949i
\(749\) −3.03453e6 1.75199e6i −0.197645 0.114111i
\(750\) 4.57287e6 + 1.33019e7i 0.296849 + 0.863500i
\(751\) 4.42935e6 2.55729e6i 0.286576 0.165455i −0.349821 0.936817i \(-0.613757\pi\)
0.636397 + 0.771362i \(0.280424\pi\)
\(752\) 1.41027e7 + 4.78788e6i 0.909409 + 0.308744i
\(753\) 9.46114e6 + 1.18265e7i 0.608074 + 0.760094i
\(754\) 3.39413e7 + 1.21448e7i 2.17421 + 0.777968i
\(755\) 2.07811e7 1.32679
\(756\) −3.44595e6 3.25833e6i −0.219283 0.207343i
\(757\) 6.36558e6 0.403736 0.201868 0.979413i \(-0.435299\pi\)
0.201868 + 0.979413i \(0.435299\pi\)
\(758\) 2.16863e7 + 7.75972e6i 1.37092 + 0.490539i
\(759\) −5.07409e6 6.34262e6i −0.319708 0.399636i
\(760\) −1.79062e7 9.95187e6i −1.12453 0.624986i
\(761\) −9.28199e6 + 5.35896e6i −0.581005 + 0.335443i −0.761533 0.648127i \(-0.775553\pi\)
0.1805