Properties

Label 36.6.h.a.11.20
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 11.20
Character \(\chi\) \(=\) 36.11
Dual form 36.6.h.a.23.20

$q$-expansion

\(f(q)\) \(=\) \(q+(3.65969 - 4.31354i) q^{2} +(-9.73802 - 12.1726i) q^{3} +(-5.21330 - 31.5725i) q^{4} +(-51.8636 + 29.9435i) q^{5} +(-88.1450 - 2.54244i) q^{6} +(33.8827 + 19.5622i) q^{7} +(-155.268 - 93.0578i) q^{8} +(-53.3420 + 237.073i) q^{9} +O(q^{10})\) \(q+(3.65969 - 4.31354i) q^{2} +(-9.73802 - 12.1726i) q^{3} +(-5.21330 - 31.5725i) q^{4} +(-51.8636 + 29.9435i) q^{5} +(-88.1450 - 2.54244i) 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} +(-333.550 + 370.913i) q^{12} +(-532.156 - 921.721i) q^{13} +(208.383 - 74.5629i) q^{14} +(869.538 + 339.723i) q^{15} +(-969.643 + 329.194i) q^{16} +315.283i q^{17} +(827.409 + 1097.71i) q^{18} -1889.72i q^{19} +(1215.77 + 1481.36i) q^{20} +(-91.8286 - 602.936i) q^{21} +(-413.698 - 1156.17i) q^{22} +(-1200.19 - 2078.79i) q^{23} +(379.255 + 2796.21i) 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} +(4647.65 - 2507.51i) q^{30} +(6949.56 - 4012.33i) q^{31} +(-2128.60 + 5387.34i) q^{32} +(-3345.28 + 509.494i) q^{33} +(1359.99 + 1153.84i) q^{34} -2343.04 q^{35} +(7763.07 + 448.207i) q^{36} +5243.91 q^{37} +(-8151.40 - 6915.81i) q^{38} +(-6037.55 + 15453.4i) q^{39} +(10839.3 + 177.040i) q^{40} +(-7589.92 + 4382.04i) q^{41} +(-2936.86 - 1810.45i) 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} +(13449.5 + 8597.33i) q^{48} +(-7638.14 - 13229.6i) q^{49} +(-879.429 - 2457.76i) q^{50} +(3837.80 - 3070.24i) q^{51} +(-26326.7 + 21606.7i) q^{52} +19631.3i q^{53} +(5304.58 - 20761.2i) q^{54} +12999.9i q^{55} +(-3440.50 - 6190.44i) q^{56} +(-23002.8 + 18402.2i) q^{57} +(31890.4 - 11410.9i) q^{58} +(-909.551 - 1575.39i) q^{59} +(6192.73 - 29224.5i) 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} +(-10045.0 + 16294.6i) q^{66} +(-37065.9 + 21400.0i) q^{67} +(9954.28 - 1643.67i) q^{68} +(-13616.7 + 34852.6i) q^{69} +(-8574.81 + 10106.8i) q^{70} +29409.1 q^{71} +(30343.8 - 31846.0i) q^{72} +38022.9 q^{73} +(19191.1 - 22619.8i) q^{74} +(-7111.30 + 1083.07i) q^{75} +(-59663.3 + 9851.70i) q^{76} +(7355.06 - 4246.45i) q^{77} +(44563.4 + 82598.0i) 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} +(-18557.5 + 6042.55i) q^{84} +(-9440.69 - 16351.7i) q^{85} +(-54000.6 + 19322.4i) q^{86} +(-14053.2 - 92272.0i) q^{87} +(-34346.5 + 19089.0i) q^{88} -35496.5i q^{89} +(-75781.7 - 32155.6i) q^{90} -41640.5i q^{91} +(-59375.5 + 48730.2i) q^{92} +(-116515. - 45521.7i) q^{93} +(27718.3 + 77465.1i) q^{94} +(56584.9 + 98008.0i) q^{95} +(86306.1 - 26551.5i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.65969 4.31354i 0.646948 0.762534i
\(3\) −9.73802 12.1726i −0.624694 0.780870i
\(4\) −5.21330 31.5725i −0.162916 0.986640i
\(5\) −51.8636 + 29.9435i −0.927765 + 0.535645i −0.886104 0.463486i \(-0.846598\pi\)
−0.0416611 + 0.999132i \(0.513265\pi\)
\(6\) −88.1450 2.54244i −0.999584 0.0288319i
\(7\) 33.8827 + 19.5622i 0.261356 + 0.150894i 0.624953 0.780662i \(-0.285118\pi\)
−0.363597 + 0.931556i \(0.618451\pi\)
\(8\) −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 −0.698523 0.715588i \(-0.746159\pi\)
0.968979 + 0.247144i \(0.0794922\pi\)
\(12\) −333.550 + 370.913i −0.668665 + 0.743564i
\(13\) −532.156 921.721i −0.873334 1.51266i −0.858527 0.512769i \(-0.828620\pi\)
−0.0148071 0.999890i \(-0.504713\pi\)
\(14\) 208.383 74.5629i 0.284146 0.101672i
\(15\) 869.538 + 339.723i 0.997839 + 0.389849i
\(16\) −969.643 + 329.194i −0.946917 + 0.321478i
\(17\) 315.283i 0.264593i 0.991210 + 0.132297i \(0.0422351\pi\)
−0.991210 + 0.132297i \(0.957765\pi\)
\(18\) 827.409 + 1097.71i 0.601920 + 0.798556i
\(19\) 1889.72i 1.20092i −0.799655 0.600460i \(-0.794984\pi\)
0.799655 0.600460i \(-0.205016\pi\)
\(20\) 1215.77 + 1481.36i 0.679637 + 0.828105i
\(21\) −91.8286 602.936i −0.0454391 0.298348i
\(22\) −413.698 1156.17i −0.182233 0.509291i
\(23\) −1200.19 2078.79i −0.473074 0.819389i 0.526451 0.850206i \(-0.323522\pi\)
−0.999525 + 0.0308168i \(0.990189\pi\)
\(24\) 379.255 + 2796.21i 0.134401 + 0.990927i
\(25\) 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 \(0.436786\pi\)
\(30\) 4647.65 2507.51i 0.942823 0.508674i
\(31\) 6949.56 4012.33i 1.29883 0.749881i 0.318629 0.947879i \(-0.396778\pi\)
0.980202 + 0.197999i \(0.0634442\pi\)
\(32\) −2128.60 + 5387.34i −0.367468 + 0.930036i
\(33\) −3345.28 + 509.494i −0.534746 + 0.0814430i
\(34\) 1359.99 + 1153.84i 0.201761 + 0.171178i
\(35\) −2343.04 −0.323303
\(36\) 7763.07 + 448.207i 0.998337 + 0.0576398i
\(37\) 5243.91 0.629725 0.314862 0.949137i \(-0.398042\pi\)
0.314862 + 0.949137i \(0.398042\pi\)
\(38\) −8151.40 6915.81i −0.915743 0.776934i
\(39\) −6037.55 + 15453.4i −0.635623 + 1.62691i
\(40\) 10839.3 + 177.040i 1.07115 + 0.0174953i
\(41\) −7589.92 + 4382.04i −0.705144 + 0.407115i −0.809260 0.587450i \(-0.800132\pi\)
0.104117 + 0.994565i \(0.466798\pi\)
\(42\) −2936.86 1810.45i −0.256897 0.158367i
\(43\) −8780.43 5069.38i −0.724176 0.418103i 0.0921115 0.995749i \(-0.470638\pi\)
−0.816288 + 0.577645i \(0.803972\pi\)
\(44\) −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 −0.999742 0.0227202i \(-0.992767\pi\)
0.519547 + 0.854442i \(0.326101\pi\)
\(48\) 13449.5 + 8597.33i 0.842566 + 0.538593i
\(49\) −7638.14 13229.6i −0.454462 0.787151i
\(50\) −879.429 2457.76i −0.0497480 0.139032i
\(51\) 3837.80 3070.24i 0.206613 0.165290i
\(52\) −26326.7 + 21606.7i −1.35017 + 1.10810i
\(53\) 19631.3i 0.959974i 0.877276 + 0.479987i \(0.159359\pi\)
−0.877276 + 0.479987i \(0.840641\pi\)
\(54\) 5304.58 20761.2i 0.247552 0.968875i
\(55\) 12999.9i 0.579474i
\(56\) −3440.50 6190.44i −0.146606 0.263786i
\(57\) −23002.8 + 18402.2i −0.937762 + 0.750208i
\(58\) 31890.4 11410.9i 1.24477 0.445401i
\(59\) −909.551 1575.39i −0.0340171 0.0589193i 0.848516 0.529170i \(-0.177497\pi\)
−0.882533 + 0.470251i \(0.844163\pi\)
\(60\) 6192.73 29224.5i 0.222077 1.04802i
\(61\) 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
\(66\) −10045.0 + 16294.6i −0.283850 + 0.460451i
\(67\) −37065.9 + 21400.0i −1.00876 + 0.582407i −0.910828 0.412786i \(-0.864556\pi\)
−0.0979310 + 0.995193i \(0.531222\pi\)
\(68\) 9954.28 1643.67i 0.261058 0.0431064i
\(69\) −13616.7 + 34852.6i −0.344309 + 0.881277i
\(70\) −8574.81 + 10106.8i −0.209160 + 0.246530i
\(71\) 29409.1 0.692365 0.346183 0.938167i \(-0.387478\pi\)
0.346183 + 0.938167i \(0.387478\pi\)
\(72\) 30343.8 31846.0i 0.689825 0.723976i
\(73\) 38022.9 0.835099 0.417550 0.908654i \(-0.362889\pi\)
0.417550 + 0.908654i \(0.362889\pi\)
\(74\) 19191.1 22619.8i 0.407399 0.480186i
\(75\) −7111.30 + 1083.07i −0.145981 + 0.0222332i
\(76\) −59663.3 + 9851.70i −1.18488 + 0.195649i
\(77\) 7355.06 4246.45i 0.141371 0.0816205i
\(78\) 44563.4 + 82598.0i 0.829358 + 1.53721i
\(79\) 12858.2 + 7423.70i 0.231800 + 0.133830i 0.611402 0.791320i \(-0.290606\pi\)
−0.379602 + 0.925150i \(0.623939\pi\)
\(80\) 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 \(-0.425159\pi\)
0.725719 0.687991i \(-0.241507\pi\)
\(84\) −18557.5 + 6042.55i −0.286959 + 0.0934376i
\(85\) −9440.69 16351.7i −0.141728 0.245480i
\(86\) −54000.6 + 19322.4i −0.787323 + 0.281718i
\(87\) −14053.2 92272.0i −0.199058 1.30699i
\(88\) −34346.5 + 19089.0i −0.472798 + 0.262770i
\(89\) 35496.5i 0.475019i −0.971385 0.237509i \(-0.923669\pi\)
0.971385 0.237509i \(-0.0763311\pi\)
\(90\) −75781.7 32155.6i −0.986184 0.418456i
\(91\) 41640.5i 0.527124i
\(92\) −59375.5 + 48730.2i −0.731371 + 0.600245i
\(93\) −116515. 45521.7i −1.39693 0.545772i
\(94\) 27718.3 + 77465.1i 0.323555 + 0.904245i
\(95\) 56584.9 + 98008.0i 0.643268 + 1.11417i
\(96\) 86306.1 26551.5i 0.955792 0.294043i
\(97\) 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 \(0.584114\pi\)
\(102\) 801.590 27790.6i 0.00762872 0.264483i
\(103\) −10418.1 + 6014.90i −0.0967600 + 0.0558644i −0.547599 0.836741i \(-0.684458\pi\)
0.450839 + 0.892605i \(0.351125\pi\)
\(104\) −3146.35 + 192635.i −0.0285248 + 1.74644i
\(105\) 22816.6 + 28520.8i 0.201966 + 0.252458i
\(106\) 84680.5 + 71844.5i 0.732013 + 0.621054i
\(107\) −89559.8 −0.756229 −0.378115 0.925759i \(-0.623428\pi\)
−0.378115 + 0.925759i \(0.623428\pi\)
\(108\) −70141.1 98861.0i −0.578646 0.815579i
\(109\) −29876.1 −0.240856 −0.120428 0.992722i \(-0.538427\pi\)
−0.120428 + 0.992722i \(0.538427\pi\)
\(110\) 56075.7 + 47575.7i 0.441869 + 0.374890i
\(111\) −51065.3 63831.7i −0.393385 0.491733i
\(112\) −39293.9 7814.37i −0.295992 0.0588639i
\(113\) −214387. + 123776.i −1.57943 + 0.911886i −0.584496 + 0.811397i \(0.698708\pi\)
−0.994938 + 0.100490i \(0.967959\pi\)
\(114\) −4804.51 + 166570.i −0.0346248 + 1.20042i
\(115\) 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
\(120\) −103398. 133665.i −0.655478 0.847356i
\(121\) 56964.9 + 98666.1i 0.353707 + 0.612639i
\(122\) −93084.6 260146.i −0.566211 1.58240i
\(123\) 127251. + 49716.3i 0.758403 + 0.296303i
\(124\) −162909. 198497.i −0.951462 1.15931i
\(125\) 159512.i 0.913100i
\(126\) 6561.30 + 53379.3i 0.0368183 + 0.299534i
\(127\) 265961.i 1.46322i −0.681724 0.731610i \(-0.738769\pi\)
0.681724 0.731610i \(-0.261231\pi\)
\(128\) 181189. + 39119.4i 0.977477 + 0.211041i
\(129\) 23796.6 + 156246.i 0.125904 + 0.826674i
\(130\) 339481. 121472.i 1.76180 0.630403i
\(131\) −37162.9 64368.0i −0.189204 0.327712i 0.755781 0.654825i \(-0.227258\pi\)
−0.944985 + 0.327113i \(0.893924\pi\)
\(132\) 33525.9 + 102963.i 0.167473 + 0.514333i
\(133\) 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 \(0.649840\pi\)
\(138\) 100505. + 186286.i 0.449253 + 0.832688i
\(139\) −287391. + 165925.i −1.26164 + 0.728410i −0.973392 0.229145i \(-0.926407\pi\)
−0.288251 + 0.957555i \(0.593074\pi\)
\(140\) 12215.0 + 73975.6i 0.0526712 + 0.318984i
\(141\) 224138. 34136.8i 0.949441 0.144602i
\(142\) 107628. 126857.i 0.447924 0.527952i
\(143\) −231035. −0.944794
\(144\) −26320.2 247436.i −0.105775 0.994390i
\(145\) −358574. −1.41631
\(146\) 139152. 164013.i 0.540266 0.636791i
\(147\) −86658.2 + 221806.i −0.330763 + 0.846604i
\(148\) −27338.1 165563.i −0.102592 0.621312i
\(149\) 287800. 166162.i 1.06200 0.613147i 0.136017 0.990707i \(-0.456570\pi\)
0.925985 + 0.377559i \(0.123237\pi\)
\(150\) −21353.3 + 34638.6i −0.0774884 + 0.125699i
\(151\) 300515. + 173503.i 1.07257 + 0.619247i 0.928882 0.370377i \(-0.120771\pi\)
0.143685 + 0.989623i \(0.454105\pi\)
\(152\) −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
\(156\) 519379. + 110057.i 1.70873 + 0.362082i
\(157\) 72572.9 + 125700.i 0.234977 + 0.406992i 0.959266 0.282504i \(-0.0911651\pi\)
−0.724289 + 0.689497i \(0.757832\pi\)
\(158\) 79079.6 28296.0i 0.252012 0.0901743i
\(159\) 238963. 191170.i 0.749615 0.599690i
\(160\) −50918.7 343145.i −0.157245 1.05969i
\(161\) 93913.2i 0.285537i
\(162\) −304373. + 137602.i −0.911209 + 0.411944i
\(163\) 240037.i 0.707635i −0.935314 0.353818i \(-0.884883\pi\)
0.935314 0.353818i \(-0.115117\pi\)
\(164\) 177920. + 216788.i 0.516555 + 0.629397i
\(165\) 158242. 126593.i 0.452494 0.361994i
\(166\) −229336. 640932.i −0.645956 1.80527i
\(167\) −144730. 250679.i −0.401575 0.695548i 0.592341 0.805687i \(-0.298204\pi\)
−0.993916 + 0.110139i \(0.964870\pi\)
\(168\) −41849.8 + 102162.i −0.114398 + 0.279265i
\(169\) −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 \(0.922452\pi\)
\(174\) −449450. 277068.i −1.12540 0.693766i
\(175\) 15635.2 9026.99i 0.0385930 0.0222817i
\(176\) −43356.5 + 218015.i −0.105505 + 0.530523i
\(177\) −10319.3 + 26412.7i −0.0247580 + 0.0633694i
\(178\) −153116. 129906.i −0.362218 0.307313i
\(179\) 440866. 1.02843 0.514214 0.857662i \(-0.328084\pi\)
0.514214 + 0.857662i \(0.328084\pi\)
\(180\) −416042. + 209208.i −0.957097 + 0.481279i
\(181\) 103852. 0.235623 0.117812 0.993036i \(-0.462412\pi\)
0.117812 + 0.993036i \(0.462412\pi\)
\(182\) −179618. 152392.i −0.401950 0.341022i
\(183\) −752708. + 114639.i −1.66149 + 0.253050i
\(184\) −7096.05 + 434456.i −0.0154516 + 0.946023i
\(185\) −271968. + 157021.i −0.584237 + 0.337309i
\(186\) −622769. + 335998.i −1.31991 + 0.712121i
\(187\) 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 −0.569176 0.822216i \(-0.692738\pi\)
0.996648 + 0.0818131i \(0.0260711\pi\)
\(192\) 201323. 469455.i 0.394130 0.919055i
\(193\) 20745.9 + 35932.9i 0.0400903 + 0.0694384i 0.885374 0.464879i \(-0.153902\pi\)
−0.845284 + 0.534317i \(0.820569\pi\)
\(194\) −5685.42 15889.2i −0.0108457 0.0303107i
\(195\) −149600. 982256.i −0.281738 1.84986i
\(196\) −377873. + 310125.i −0.702596 + 0.576630i
\(197\) 353610.i 0.649170i −0.945856 0.324585i \(-0.894775\pi\)
0.945856 0.324585i \(-0.105225\pi\)
\(198\) 296165. 36404.1i 0.536871 0.0659915i
\(199\) 167614.i 0.300038i 0.988683 + 0.150019i \(0.0479336\pi\)
−0.988683 + 0.150019i \(0.952066\pi\)
\(200\) −73012.8 + 40578.8i −0.129070 + 0.0717338i
\(201\) 621441. + 242793.i 1.08495 + 0.423883i
\(202\) 280059. 100210.i 0.482916 0.172796i
\(203\) 117129. + 202873.i 0.199491 + 0.345529i
\(204\) −116943. 105163.i −0.196742 0.176924i
\(205\) 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
\(210\) 206527. + 5957.05i 0.323169 + 0.00932144i
\(211\) −60893.8 + 35157.0i −0.0941601 + 0.0543633i −0.546341 0.837563i \(-0.683980\pi\)
0.452181 + 0.891926i \(0.350646\pi\)
\(212\) 619809. 102344.i 0.947149 0.156395i
\(213\) −286386. 357983.i −0.432516 0.540647i
\(214\) −327761. + 386320.i −0.489241 + 0.576651i
\(215\) 607180. 0.895821
\(216\) −683136. 59244.4i −0.996261 0.0863998i
\(217\) 313960. 0.452611
\(218\) −109337. + 128872.i −0.155822 + 0.183661i
\(219\) −370268. 462836.i −0.521682 0.652104i
\(220\) 410440. 67772.5i 0.571732 0.0944054i
\(221\) 290603. 167780.i 0.400239 0.231078i
\(222\) −462224. 13332.3i −0.629463 0.0181561i
\(223\) 439612. + 253810.i 0.591980 + 0.341780i 0.765880 0.642983i \(-0.222304\pi\)
−0.173900 + 0.984763i \(0.555637\pi\)
\(224\) −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 −0.828579 0.559872i \(-0.810850\pi\)
0.899153 + 0.437634i \(0.144184\pi\)
\(228\) 700922. + 630318.i 0.892962 + 0.803013i
\(229\) 180234. + 312174.i 0.227116 + 0.393376i 0.956952 0.290246i \(-0.0937370\pi\)
−0.729836 + 0.683622i \(0.760404\pi\)
\(230\) 765642. 273960.i 0.954346 0.341482i
\(231\) −123314. 48177.9i −0.152048 0.0594043i
\(232\) −526526. 947371.i −0.642244 1.15558i
\(233\) 938716.i 1.13278i 0.824138 + 0.566389i \(0.191660\pi\)
−0.824138 + 0.566389i \(0.808340\pi\)
\(234\) 571469. 1.34679e6i 0.682265 1.60791i
\(235\) 871012.i 1.02886i
\(236\) −44997.1 + 36929.7i −0.0525902 + 0.0431615i
\(237\) −34848.2 228809.i −0.0403005 0.264608i
\(238\) 23508.5 + 65699.6i 0.0269018 + 0.0751831i
\(239\) 163017. + 282354.i 0.184603 + 0.319742i 0.943443 0.331536i \(-0.107567\pi\)
−0.758840 + 0.651278i \(0.774233\pi\)
\(240\) −954976. 43163.3i −1.07020 0.0483712i
\(241\) 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
\(246\) 680154. 366958.i 0.716588 0.386615i
\(247\) −1.74180e6 + 1.00563e6i −1.81658 + 1.04880i
\(248\) −1.45242e6 23722.7i −1.49956 0.0244926i
\(249\) −1.85448e6 + 282441.i −1.89550 + 0.288689i
\(250\) −688062. 583765.i −0.696269 0.590728i
\(251\) −971568. −0.973394 −0.486697 0.873571i \(-0.661798\pi\)
−0.486697 + 0.873571i \(0.661798\pi\)
\(252\) 254266. + 167049.i 0.252224 + 0.165708i
\(253\) −521060. −0.511783
\(254\) −1.14724e6 973337.i −1.11575 0.946627i
\(255\) −107109. + 274151.i −0.103151 + 0.264021i
\(256\) 831839. 638401.i 0.793303 0.608826i
\(257\) 1.19547e6 690206.i 1.12903 0.651848i 0.185342 0.982674i \(-0.440661\pi\)
0.943692 + 0.330826i \(0.107327\pi\)
\(258\) 761062. + 469164.i 0.711821 + 0.438809i
\(259\) 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 −0.738582 0.674164i \(-0.764504\pi\)
0.953134 + 0.302549i \(0.0978374\pi\)
\(264\) 566828. + 232196.i 0.500543 + 0.205043i
\(265\) −587830. 1.01815e6i −0.514206 0.890631i
\(266\) −140903. 393786.i −0.122100 0.341237i
\(267\) −432083. + 345666.i −0.370928 + 0.296741i
\(268\) 868887. + 1.05870e6i 0.738969 + 0.900399i
\(269\) 1.12150e6i 0.944969i 0.881339 + 0.472484i \(0.156643\pi\)
−0.881339 + 0.472484i \(0.843357\pi\)
\(270\) 346547. + 1.23559e6i 0.289303 + 1.03149i
\(271\) 873330.i 0.722362i 0.932496 + 0.361181i \(0.117626\pi\)
−0.932496 + 0.361181i \(0.882374\pi\)
\(272\) −103789. 305712.i −0.0850610 0.250548i
\(273\) −506872. + 405496.i −0.411615 + 0.329291i
\(274\) 123647. 44243.0i 0.0994963 0.0356015i
\(275\) −50084.5 86748.9i −0.0399367 0.0691723i
\(276\) 1.17137e6 + 248215.i 0.925596 + 0.196135i
\(277\) 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 \(0.699555\pi\)
\(282\) 673026. 1.09176e6i 0.503975 0.817531i
\(283\) 644438. 372067.i 0.478316 0.276156i −0.241398 0.970426i \(-0.577606\pi\)
0.719715 + 0.694270i \(0.244273\pi\)
\(284\) −153318. 928517.i −0.112797 0.683115i
\(285\) 641982. 1.64319e6i 0.468178 1.19833i
\(286\) −845516. + 996578.i −0.611233 + 0.720437i
\(287\) −342889. −0.245725
\(288\) −1.16365e6 792006.i −0.826687 0.562662i
\(289\) 1.32045e6 0.929990
\(290\) −1.31227e6 + 1.54672e6i −0.916280 + 1.07998i
\(291\) −45973.8 + 7001.93i −0.0318257 + 0.00484713i
\(292\) −198225. 1.20048e6i −0.136051 0.823942i
\(293\) −330601. + 190873.i −0.224976 + 0.129890i −0.608252 0.793744i \(-0.708129\pi\)
0.383276 + 0.923634i \(0.374796\pi\)
\(294\) 639628. + 1.18555e6i 0.431578 + 0.799927i
\(295\) 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
\(300\) 71268.5 + 218875.i 0.0457188 + 0.140408i
\(301\) −198336. 343529.i −0.126179 0.218548i
\(302\) 1.84820e6 661319.i 1.16609 0.417248i
\(303\) −123415. 810326.i −0.0772254 0.507053i
\(304\) 622085. + 1.83236e6i 0.386070 + 1.13717i
\(305\) 2.92506e6i 1.80047i
\(306\) −346089. + 260868.i −0.211293 + 0.159264i
\(307\) 3.21986e6i 1.94980i −0.222640 0.974901i \(-0.571467\pi\)
0.222640 0.974901i \(-0.428533\pi\)
\(308\) −172415. 210080.i −0.103562 0.126185i
\(309\) 174668. + 68241.8i 0.104068 + 0.0406588i
\(310\) 915871. + 2.55960e6i 0.541290 + 1.51276i
\(311\) −775835. 1.34378e6i −0.454850 0.787823i 0.543830 0.839196i \(-0.316974\pi\)
−0.998680 + 0.0513724i \(0.983640\pi\)
\(312\) 2.37550e6 1.83759e6i 1.38156 1.06871i
\(313\) 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 \(0.587295\pi\)
\(318\) 49911.5 1.73040e6i 0.0276779 0.959575i
\(319\) 1.12560e6 649867.i 0.619310 0.357559i
\(320\) −1.66652e6 1.03617e6i −0.909777 0.565658i
\(321\) 872135. + 1.09017e6i 0.472412 + 0.590517i
\(322\) −405099. 343693.i −0.217731 0.184727i
\(323\) 595799. 0.317756
\(324\) −520356. + 1.81651e6i −0.275383 + 0.961334i
\(325\) −491127. −0.257920
\(326\) −1.03541e6 878462.i −0.539596 0.457803i
\(327\) 290934. + 363669.i 0.150462 + 0.188077i
\(328\) 1.58626e6 + 25908.6i 0.814121 + 0.0132972i
\(329\) −492799. + 284518.i −0.251004 + 0.144917i
\(330\) 33051.5 1.14588e6i 0.0167073 0.579233i
\(331\) −128289. 74067.9i −0.0643607 0.0371587i 0.467474 0.884007i \(-0.345164\pi\)
−0.531835 + 0.846848i \(0.678497\pi\)
\(332\) −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
\(336\) 287524. + 554403.i 0.138939 + 0.267903i
\(337\) 191733. + 332092.i 0.0919651 + 0.159288i 0.908338 0.418237i \(-0.137352\pi\)
−0.816373 + 0.577525i \(0.804019\pi\)
\(338\) 1.45120e6 + 4.05569e6i 0.690930 + 1.93096i
\(339\) 3.59437e6 + 1.40430e6i 1.69873 + 0.663682i
\(340\) −467048. + 383312.i −0.219111 + 0.179827i
\(341\) 1.74195e6i 0.811239i
\(342\) 2.07436e6 1.56357e6i 0.959002 0.722859i
\(343\) 1.25524e6i 0.576091i
\(344\) 891577. + 1.60420e6i 0.406221 + 0.730908i
\(345\) −337398. 2.21531e6i −0.152614 1.00205i
\(346\) −3.01853e6 + 1.08008e6i −1.35552 + 0.485028i
\(347\) 602848. + 1.04416e6i 0.268772 + 0.465527i 0.968545 0.248839i \(-0.0800489\pi\)
−0.699773 + 0.714365i \(0.746716\pi\)
\(348\) −2.83999e6 + 924738.i −1.25710 + 0.409327i
\(349\) −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 \(0.679447\pi\)
\(354\) 76167.0 + 141175.i 0.0323042 + 0.0598756i
\(355\) −1.52526e6 + 880610.i −0.642352 + 0.370862i
\(356\) −1.12071e6 + 185054.i −0.468673 + 0.0773880i
\(357\) 190096. 28952.0i 0.0789409 0.0120229i
\(358\) 1.61343e6 1.90169e6i 0.665340 0.784211i
\(359\) 1.70884e6 0.699786 0.349893 0.936790i \(-0.386218\pi\)
0.349893 + 0.936790i \(0.386218\pi\)
\(360\) −620159. + 2.56025e6i −0.252201 + 1.04118i
\(361\) −1.09496e6 −0.442211
\(362\) 380066. 447970.i 0.152436 0.179671i
\(363\) 646293. 1.65422e6i 0.257432 0.658911i
\(364\) −1.31470e6 + 217085.i −0.520082 + 0.0858768i
\(365\) −1.97201e6 + 1.13854e6i −0.774776 + 0.447317i
\(366\) −2.26018e6 + 3.66638e6i −0.881942 + 1.43066i
\(367\) 3.26612e6 + 1.88569e6i 1.26581 + 0.730813i 0.974191 0.225723i \(-0.0724745\pi\)
0.291614 + 0.956536i \(0.405808\pi\)
\(368\) 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
\(372\) −829804. + 3.91599e6i −0.310898 + 1.46718i
\(373\) 1.13464e6 + 1.96526e6i 0.422267 + 0.731388i 0.996161 0.0875420i \(-0.0279012\pi\)
−0.573894 + 0.818930i \(0.694568\pi\)
\(374\) 364522. 130432.i 0.134755 0.0482176i
\(375\) −1.94167e6 + 1.55333e6i −0.713012 + 0.570408i
\(376\) 2.30126e6 1.27899e6i 0.839453 0.466548i
\(377\) 6.37257e6i 2.30920i
\(378\) 585868. 599676.i 0.210897 0.215867i
\(379\) 4.07165e6i 1.45604i 0.685557 + 0.728019i \(0.259559\pi\)
−0.685557 + 0.728019i \(0.740441\pi\)
\(380\) 2.79936e6 2.29747e6i 0.994489 0.816190i
\(381\) −3.23743e6 + 2.58994e6i −1.14258 + 0.914065i
\(382\) −821478. 2.29580e6i −0.288030 0.804964i
\(383\) −1.22056e6 2.11407e6i −0.425170 0.736415i 0.571267 0.820765i \(-0.306452\pi\)
−0.996436 + 0.0843491i \(0.973119\pi\)
\(384\) −1.28824e6 2.58648e6i −0.445828 0.895118i
\(385\) −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 \(0.609460\pi\)
\(390\) −4.78450e6 2.94945e6i −1.59285 0.981928i
\(391\) 655407. 378399.i 0.216805 0.125172i
\(392\) −45160.2 + 2.76493e6i −0.0148436 + 0.908803i
\(393\) −421630. + 1.07918e6i −0.137705 + 0.352463i
\(394\) −1.52531e6 1.29410e6i −0.495014 0.419980i
\(395\) −889166. −0.286741
\(396\) 926841. 1.41075e6i 0.297007 0.452076i
\(397\) −2.64187e6 −0.841271 −0.420635 0.907230i \(-0.638193\pi\)
−0.420635 + 0.907230i \(0.638193\pi\)
\(398\) 723009. + 613415.i 0.228789 + 0.194109i
\(399\) −1.13938e6 + 173531.i −0.358292 + 0.0545688i
\(400\) −92166.1 + 463450.i −0.0288019 + 0.144828i
\(401\) 2.41745e6 1.39571e6i 0.750751 0.433446i −0.0752142 0.997167i \(-0.523964\pi\)
0.825965 + 0.563721i \(0.190631\pi\)
\(402\) 3.32158e6 1.79206e6i 1.02513 0.553081i
\(403\) −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
\(408\) −881598. + 119573.i −0.262193 + 0.0355617i
\(409\) −502887. 871025.i −0.148649 0.257468i 0.782079 0.623179i \(-0.214159\pi\)
−0.930728 + 0.365711i \(0.880826\pi\)
\(410\) −1.00026e6 2.79546e6i −0.293870 0.821284i
\(411\) −54487.9 357761.i −0.0159109 0.104469i
\(412\) 244218. + 297568.i 0.0708818 + 0.0863661i
\(413\) 71171.2i 0.0205319i
\(414\) 1.28885e6 3.03746e6i 0.369575 0.870983i
\(415\) 7.20660e6i 2.05404i
\(416\) 6.09838e6 904928.i 1.72775 0.256378i
\(417\) 4.81836e6 + 1.88250e6i 1.35693 + 0.530145i
\(418\) −2.18485e6 + 781775.i −0.611618 + 0.218847i
\(419\) 2.85052e6 + 4.93724e6i 0.793210 + 1.37388i 0.923969 + 0.382466i \(0.124925\pi\)
−0.130759 + 0.991414i \(0.541741\pi\)
\(420\) 781523. 869064.i 0.216181 0.240397i
\(421\) −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
\(426\) −2.59226e6 74770.8i −0.692077 0.0199622i
\(427\) 1.65493e6 955477.i 0.439249 0.253601i
\(428\) 466902. + 2.82762e6i 0.123202 + 0.746126i
\(429\) 2.24982e6 + 2.81228e6i 0.590207 + 0.737761i
\(430\) 2.22209e6 2.61910e6i 0.579550 0.683094i
\(431\) 516224. 0.133858 0.0669291 0.997758i \(-0.478680\pi\)
0.0669291 + 0.997758i \(0.478680\pi\)
\(432\) −2.75562e6 + 2.72992e6i −0.710412 + 0.703786i
\(433\) 6.50137e6 1.66642 0.833212 0.552954i \(-0.186499\pi\)
0.833212 + 0.552954i \(0.186499\pi\)
\(434\) 1.14900e6 1.35428e6i 0.292816 0.345131i
\(435\) 3.49180e6 + 4.36476e6i 0.884761 + 1.10595i
\(436\) 155753. + 943264.i 0.0392393 + 0.237639i
\(437\) −3.92833e6 + 2.26802e6i −0.984021 + 0.568125i
\(438\) −3.35153e6 96671.0i −0.834752 0.0240775i
\(439\) −762498. 440228.i −0.188833 0.109023i 0.402603 0.915375i \(-0.368105\pi\)
−0.591436 + 0.806352i \(0.701439\pi\)
\(440\) 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 −0.907595 0.419848i \(-0.862083\pi\)
0.817396 + 0.576076i \(0.195417\pi\)
\(444\) −1.74911e6 + 1.94503e6i −0.421075 + 0.468241i
\(445\) 1.06289e6 + 1.84098e6i 0.254442 + 0.440706i
\(446\) 2.70366e6 967418.i 0.643599 0.230291i
\(447\) −4.82521e6 1.88518e6i −1.14221 0.446256i
\(448\) −41868.0 + 1.28134e6i −0.00985570 + 0.301627i
\(449\) 3.80614e6i 0.890983i −0.895286 0.445492i \(-0.853029\pi\)
0.895286 0.445492i \(-0.146971\pi\)
\(450\) 629579. 77386.9i 0.146561 0.0180151i
\(451\) 1.90246e6i 0.440427i
\(452\) 5.02558e6 + 6.12343e6i 1.15702 + 1.40977i
\(453\) −814454. 5.34761e6i −0.186475 1.22437i
\(454\) −208840. 583651.i −0.0475527 0.132896i
\(455\) 1.24686e6 + 2.15963e6i 0.282352 + 0.489047i
\(456\) 5.28406e6 716687.i 1.19002 0.161405i
\(457\) −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 \(0.951556\pi\)
\(462\) −659108. + 355603.i −0.143665 + 0.0775105i
\(463\) 4.12079e6 2.37914e6i 0.893363 0.515784i 0.0183222 0.999832i \(-0.494168\pi\)
0.875041 + 0.484049i \(0.160834\pi\)
\(464\) −6.01345e6 1.19589e6i −1.29667 0.257868i
\(465\) 7.40598e6 1.12795e6i 1.58836 0.241912i
\(466\) 4.04919e6 + 3.43541e6i 0.863781 + 0.732848i
\(467\) −7.37952e6 −1.56580 −0.782900 0.622148i \(-0.786260\pi\)
−0.782900 + 0.622148i \(0.786260\pi\)
\(468\) −3.71804e6 7.39390e6i −0.784693 1.56048i
\(469\) −1.67452e6 −0.351528
\(470\) −3.75715e6 3.18764e6i −0.784538 0.665617i
\(471\) 823374. 2.10747e6i 0.171019 0.437732i
\(472\) −5377.68 + 329249.i −0.00111107 + 0.0680251i
\(473\) −1.90600e6 + 1.10043e6i −0.391716 + 0.226157i
\(474\) −1.11451e6 687053.i −0.227845 0.140457i
\(475\) −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 −0.915884 0.401442i \(-0.868509\pi\)
0.805601 + 0.592458i \(0.201842\pi\)
\(480\) −3.68110e6 + 3.96136e6i −0.729248 + 0.784769i
\(481\) −2.79058e6 4.83342e6i −0.549960 0.952559i
\(482\) −144472. 403758.i −0.0283247 0.0791596i
\(483\) −1.14316e6 + 914528.i −0.222967 + 0.178373i
\(484\) 2.81816e6 2.31290e6i 0.546829 0.448790i
\(485\) 178657.i 0.0344878i
\(486\) 4.63896e6 + 2.36502e6i 0.890902 + 0.454196i
\(487\) 763869.i 0.145948i 0.997334 + 0.0729738i \(0.0232489\pi\)
−0.997334 + 0.0729738i \(0.976751\pi\)
\(488\) −7.72817e6 + 4.29513e6i −1.46902 + 0.816445i
\(489\) −2.92186e6 + 2.33749e6i −0.552571 + 0.442056i
\(490\) 4.87264e6 1.74351e6i 0.916799 0.328046i
\(491\) −3.47276e6 6.01500e6i −0.650087 1.12598i −0.983101 0.183061i \(-0.941399\pi\)
0.333015 0.942922i \(1.60807\pi\)
\(492\) 906267. 4.27683e6i 0.168789 0.796543i
\(493\) −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
\(498\) −5.56849e6 + 9.03301e6i −1.00615 + 1.63215i
\(499\) 5.34730e6 3.08727e6i 0.961354 0.555038i 0.0647647 0.997901i \(-0.479370\pi\)
0.896590 + 0.442862i \(0.146037\pi\)
\(500\) −5.03619e6 + 831584.i −0.900901 + 0.148758i
\(501\) −1.64203e6 + 4.20285e6i −0.292271 + 0.748082i
\(502\) −3.55564e6 + 4.19090e6i −0.629736 + 0.742246i
\(503\) 3.43627e6 0.605574 0.302787 0.953058i \(-0.402083\pi\)
0.302787 + 0.953058i \(0.402083\pi\)
\(504\) 1.65111e6 485439.i 0.289534 0.0851252i
\(505\) −3.14897e6 −0.549465
\(506\) −1.90692e6 + 2.24761e6i −0.331097 + 0.390252i
\(507\) 1.17348e7 1.78723e6i 2.02747 0.308789i
\(508\) −8.39706e6 + 1.38654e6i −1.44367 + 0.238381i
\(509\) 2.45696e6 1.41853e6i 0.420343 0.242685i −0.274881 0.961478i \(-0.588638\pi\)
0.695224 + 0.718793i \(0.255305\pi\)
\(510\) 790576. + 1.46533e6i 0.134592 + 0.249465i
\(511\) 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
\(516\) 4.80901e6 1.56588e6i 0.795118 0.258901i
\(517\) 1.57859e6 + 2.73420e6i 0.259743 + 0.449888i
\(518\) 1.09274e6 391001.i 0.178934 0.0640256i
\(519\) 1.33019e6 + 8.73385e6i 0.216768 + 1.42327i
\(520\) −5.60499e6 1.00850e7i −0.909006 1.63556i
\(521\) 1.84176e6i 0.297261i 0.988893 + 0.148631i \(0.0474866\pi\)
−0.988893 + 0.148631i \(0.952513\pi\)
\(522\) 1.00413e6 + 8.16904e6i 0.161292 + 1.31218i
\(523\) 1.03954e7i 1.66183i −0.556398 0.830916i \(-0.687817\pi\)
0.556398 0.830916i \(-0.312183\pi\)
\(524\) −1.83852e6 + 1.50889e6i −0.292509 + 0.240066i
\(525\) −262137. 102415.i −0.0415079 0.0162169i
\(526\) −917335. 2.56370e6i −0.144565 0.404019i
\(527\) 1.26502e6 + 2.19108e6i 0.198413 + 0.343662i
\(528\) 3.07600e6 1.59527e6i 0.480177 0.249029i
\(529\) 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
\(534\) −90247.9 + 3.12884e6i −0.0136957 + 0.474821i
\(535\) 4.64490e6 2.68173e6i 0.701603 0.405071i
\(536\) 7.74660e6 + 126527.i 1.16466 + 0.0190226i
\(537\) −4.29316e6 5.36646e6i −0.642453 0.803068i
\(538\) 4.83762e6 + 4.10433e6i 0.720570 + 0.611346i
\(539\) −3.31609e6 −0.491648
\(540\) 6.59802e6 + 3.02702e6i 0.973709 + 0.446716i
\(541\) 330411. 0.0485357 0.0242679 0.999705i \(-0.492275\pi\)
0.0242679 + 0.999705i \(0.492275\pi\)
\(542\) 3.76715e6 + 3.19612e6i 0.550826 + 0.467331i
\(543\) −1.01131e6 1.26414e6i −0.147193 0.183991i
\(544\) −1.69854e6 671113.i −0.246081 0.0972296i
\(545\) 1.54949e6 894596.i 0.223458 0.129014i
\(546\) −105869. + 3.67040e6i −0.0151980 + 0.526905i
\(547\) −1.06834e7 6.16808e6i −1.52666 0.881417i −0.999499 0.0316507i \(-0.989924\pi\)
−0.527160 0.849766i \(1.32326\pi\)
\(548\) 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
\(552\) 5.35754e6 4.14437e6i 0.748373 0.578909i
\(553\) 290448. + 503070.i 0.0403883 + 0.0699545i
\(554\) −3.43117e6 9.58916e6i −0.474971 1.32741i
\(555\) 4.55978e6 + 1.78147e6i 0.628364 + 0.245498i
\(556\) 6.73693e6 + 8.20863e6i 0.924220 + 1.12612i
\(557\) 5.94173e6i 0.811474i 0.913990 + 0.405737i \(0.132985\pi\)
−0.913990 + 0.405737i \(0.867015\pi\)
\(558\) 1.01545e7 + 4.30874e6i 1.38062 + 0.585821i
\(559\) 1.07908e7i 1.46058i
\(560\) 2.27191e6 771315.i 0.306141 0.103935i
\(561\) −160635. 1.05471e6i −0.0215493 0.141490i
\(562\) −1.45421e6 + 520343.i −0.194217 + 0.0694942i
\(563\) 66573.9 + 115309.i 0.00885182 + 0.0153318i 0.870417 0.492315i \(-0.163849\pi\)
−0.861566 + 0.507646i \(0.830516\pi\)
\(564\) −2.24628e6 6.89863e6i −0.297349 0.913198i
\(565\) 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 \(0.577312\pi\)
\(570\) −4.73850e6 8.78277e6i −0.610877 1.13226i
\(571\) −525371. + 303323.i −0.0674335 + 0.0389328i −0.533338 0.845902i \(-0.679062\pi\)
0.465904 + 0.884835i \(0.345729\pi\)
\(572\) 1.20445e6 + 7.29434e6i 0.153922 + 0.932171i
\(573\) −6.64270e6 + 1.01170e6i −0.845197 + 0.128726i
\(574\) −1.25487e6 + 1.47907e6i −0.158971 + 0.187374i
\(575\) −1.10765e6 −0.139712
\(576\) −7.67496e6 + 2.12095e6i −0.963873 + 0.266364i
\(577\) −496600. −0.0620965 −0.0310483 0.999518i \(-0.509885\pi\)
−0.0310483 + 0.999518i \(0.509885\pi\)
\(578\) 4.83245e6 5.69583e6i 0.601656 0.709149i
\(579\) 235372. 602446.i 0.0291782 0.0746830i
\(580\) 1.86935e6 + 1.13211e7i 0.230739 + 1.39739i
\(581\) 4.07733e6 2.35405e6i 0.501113 0.289318i
\(582\) −138047. + 223935.i −0.0168935 + 0.0274040i
\(583\) 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 \(0.511422\pi\)
−0.847531 + 0.530746i \(0.821912\pi\)
\(588\) 7.45475e6 + 1.57967e6i 0.889180 + 0.188419i
\(589\) −7.58219e6 1.31327e7i −0.900547 1.55979i
\(590\) 580234. 207618.i 0.0686236 0.0245547i
\(591\) −4.30433e6 + 3.44346e6i −0.506917 + 0.405533i
\(592\) −5.08472e6 + 1.72626e6i −0.596297 + 0.202443i
\(593\) 1.01532e7i 1.18568i 0.805322 + 0.592838i \(0.201992\pi\)
−0.805322 + 0.592838i \(0.798008\pi\)
\(594\) −3.32719e6 3.25058e6i −0.386911 0.378002i
\(595\) 738722.i 0.0855438i
\(596\) −6.74652e6 8.22032e6i −0.777973 0.947923i
\(597\) 2.04029e6 1.63223e6i 0.234291 0.187432i
\(598\) 4.86881e6 + 1.36070e7i 0.556763 + 1.55600i
\(599\) −5.29325e6 9.16817e6i −0.602775 1.04404i −0.992399 0.123062i \(-0.960728\pi\)
0.389624 0.920974i \(1.62740\pi\)
\(600\) 1.20495e6 + 493595.i 0.136644 + 0.0559749i
\(601\) 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
\(606\) −3.94704e6 2.43319e6i −0.436606 0.269150i
\(607\) −6.57795e6 + 3.79778e6i −0.724635 + 0.418368i −0.816456 0.577408i \(-0.804064\pi\)
0.0918216 + 0.995775i \(0.470731\pi\)
\(608\) 1.01806e7 + 4.02247e6i 1.11690 + 0.441300i
\(609\) 1.32888e6 3.40134e6i 0.145192 0.371626i
\(610\) 1.26174e7 + 1.07048e7i 1.37292 + 1.16481i
\(611\) 1.54796e7 1.67748
\(612\) −141312. + 2.44757e6i −0.0152511 + 0.264153i
\(613\) 1.15773e7 1.24438 0.622192 0.782865i \(-0.286242\pi\)
0.622192 + 0.782865i \(0.286242\pi\)
\(614\) −1.38890e7 1.17837e7i −1.48679 1.26142i
\(615\) −8.08840e6 + 1.23188e6i −0.862333 + 0.131335i
\(616\) −1.53717e6 25106.9i −0.163219 0.00266589i
\(617\) −4.79775e6 + 2.76998e6i −0.507370 + 0.292930i −0.731752 0.681571i \(-0.761297\pi\)
0.224382 + 0.974501i \(0.427964\pi\)
\(618\) 933597. 503696.i 0.0983305 0.0530514i
\(619\) −399838. 230847.i −0.0419428 0.0242157i 0.478882 0.877879i \(-0.341042\pi\)
−0.520825 + 0.853664i \(0.674376\pi\)
\(620\) 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
\(624\) 767099. 1.69718e7i 0.0788660 1.74489i
\(625\) 5.49736e6 + 9.52171e6i 0.562930 + 0.975023i
\(626\) −1.00624e6 2.81216e6i −0.102628 0.286816i
\(627\) 962803. + 6.32165e6i 0.0978066 + 0.642187i
\(628\) 3.59032e6 2.94662e6i 0.363273 0.298143i
\(629\) 1.65332e6i 0.166621i
\(630\) −1.93865e6 2.57197e6i −0.194603 0.258176i
\(631\) 1.33405e7i 1.33383i 0.745136 + 0.666913i \(0.232385\pi\)
−0.745136 + 0.666913i \(0.767615\pi\)
\(632\) −1.30564e6 2.34922e6i −0.130026 0.233955i
\(633\) 1.02094e6 + 398873.i 0.101272 + 0.0395663i
\(634\) 4.70322e6 1.68289e6i 0.464700 0.166278i
\(635\) 7.96382e6 + 1.37937e7i 0.783767 + 1.35752i
\(636\) −7.28150e6 6.54803e6i −0.713802 0.641901i
\(637\) −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 \(0.707747\pi\)
\(642\) 7.89424e6 + 227701.i 0.755915 + 0.0218035i
\(643\) −1.46328e7 + 8.44826e6i −1.39573 + 0.805824i −0.993942 0.109910i \(-0.964944\pi\)
−0.401786 + 0.915734i \(0.631610\pi\)
\(644\) −2.96507e6 + 489598.i −0.281722 + 0.0465184i
\(645\) −5.91273e6 7.39093e6i −0.559614 0.699519i
\(646\) 2.18044e6 2.57000e6i 0.205571 0.242299i
\(647\) 7.65712e6 0.719126 0.359563 0.933121i \(-0.382926\pi\)
0.359563 + 0.933121i \(0.382926\pi\)
\(648\) 5.93124e6 + 8.89243e6i 0.554891 + 0.831923i
\(649\) −394880. −0.0368005
\(650\) −1.79737e6 + 2.11850e6i −0.166861 + 0.196673i
\(651\) −3.05735e6 3.82169e6i −0.282743 0.353430i
\(652\) −7.57857e6 + 1.25139e6i −0.698181 + 0.115285i
\(653\) 957462. 552791.i 0.0878696 0.0507315i −0.455421 0.890276i \(-0.650511\pi\)
0.543291 + 0.839544i \(0.317178\pi\)
\(654\) 2.63343e6 + 75958.3i 0.240756 + 0.00694434i
\(655\) 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 \(0.408035\pi\)
−0.972588 + 0.232535i \(0.925298\pi\)
\(660\) −4.82183e6 4.33613e6i −0.430876 0.387474i
\(661\) 3.77496e6 + 6.53842e6i 0.336054 + 0.582062i 0.983687 0.179890i \(-0.0575743\pi\)
−0.647633 + 0.761952i \(0.724241\pi\)
\(662\) −788995. + 282316.i −0.0699728 + 0.0250375i
\(663\) −4.87221e6 1.90354e6i −0.430469 0.168181i
\(664\) −1.90402e7 + 1.05821e7i −1.67591 + 0.931432i
\(665\) 4.42770e6i 0.388261i
\(666\) 4.33886e6 + 5.75628e6i 0.379044 + 0.502871i
\(667\) 1.43723e7i 1.25087i
\(668\) −7.16005e6 + 5.87634e6i −0.620833 + 0.509526i
\(669\) −1.19143e6 7.82280e6i −0.102921 0.675767i
\(670\) −4.88485e6 1.36518e7i −0.420402 1.17491i
\(671\) −5.30128e6 9.18209e6i −0.454543 0.787291i
\(672\) 3.44369e6 + 788700.i 0.294172 + 0.0673734i
\(673\) 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 \(0.536623\pi\)
\(678\) 1.92118e7 1.03652e7i 1.60507 0.865969i
\(679\) 101080. 58358.6i 0.00841377 0.00485769i
\(680\) −55817.6 + 3.41744e6i −0.00462913 + 0.283419i
\(681\) −1.68874e6 + 257199.i −0.139539 + 0.0212521i
\(682\) −7.51396e6 6.37499e6i −0.618597 0.524830i
\(683\) −6.62953e6 −0.543789 −0.271895 0.962327i \(-0.587650\pi\)
−0.271895 + 0.962327i \(0.587650\pi\)
\(684\) 846987. 1.46701e7i 0.0692208 1.19892i
\(685\) −1.39028e6 −0.113208
\(686\) −5.41453e6 4.59379e6i −0.439289 0.372701i
\(687\) 2.04484e6 5.23386e6i 0.165298 0.423088i
\(688\) 1.01827e7 + 2.02503e6i 0.820146 + 0.163102i
\(689\) 1.80946e7 1.04469e7i 1.45211 0.838378i
\(690\) −1.07906e7 6.65199e6i −0.862827 0.531898i
\(691\) 6.59285e6 + 3.80638e6i 0.525264 + 0.303261i 0.739086 0.673611i \(-0.235258\pi\)
−0.213822 + 0.976873i \(0.568591\pi\)
\(692\) −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
\(696\) −6.40460e6 + 1.56347e7i −0.501151 + 1.22339i
\(697\) −1.38159e6 2.39298e6i −0.107720 0.186576i
\(698\) 555559. + 1.55263e6i 0.0431610 + 0.120623i
\(699\) 1.14266e7 9.14123e6i 0.884551 0.707639i
\(700\) −366515. 446582.i −0.0282714 0.0344473i
\(701\) 3.35628e6i 0.257966i −0.991647 0.128983i \(-0.958829\pi\)
0.991647 0.128983i \(-0.0411713\pi\)
\(702\) −2.19589e7 + 6.15884e6i −1.68177 + 0.471690i
\(703\) 9.90954e6i 0.756249i
\(704\) 7.10929e6 + 232297.i 0.540623 + 0.0176649i
\(705\) −1.06024e7 + 8.48193e6i −0.803403 + 0.642720i
\(706\) −1.00106e6 + 358195.i −0.0755869 + 0.0270463i
\(707\) 1.02862e6 + 1.78162e6i 0.0773936 + 0.134050i
\(708\) 887712. + 188108.i 0.0665563 + 0.0141034i
\(709\) 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
\(714\) 570806. 925942.i 0.0419028 0.0679733i
\(715\) 1.19823e7 6.91798e6i 0.876547 0.506074i
\(716\) −2.29837e6 1.39192e7i −0.167547 1.01469i
\(717\) 1.84951e6 4.73391e6i 0.134356 0.343892i
\(718\) 6.25383e6 7.37116e6i 0.452725 0.533611i
\(719\) 1.05572e7 0.761603 0.380801 0.924657i \(-0.375648\pi\)
0.380801 + 0.924657i \(0.375648\pi\)
\(720\) 8.77416e6 + 1.20448e7i 0.630775 + 0.865902i
\(721\) −470659. −0.0337185
\(722\) −4.00721e6 + 4.72314e6i −0.286087 + 0.337200i
\(723\) −1.16824e6 + 177925.i −0.0831161 + 0.0126588i
\(724\) −541412. 3.27887e6i −0.0383868 0.232475i
\(725\) 2.39278e6 1.38147e6i 0.169066 0.0976104i
\(726\) −4.77032e6 8.84175e6i −0.335897 0.622582i
\(727\) −457178. 263952.i −0.0320811 0.0185220i 0.483874 0.875138i \(-0.339229\pi\)
−0.515955 + 0.856616i \(0.672563\pi\)
\(728\) −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
\(732\) 7.54354e6 + 2.31672e7i 0.520352 + 1.59807i
\(733\) −1.01725e7 1.76192e7i −0.699304 1.21123i −0.968708 0.248202i \(-0.920160\pi\)
0.269404 0.963027i \(-0.413173\pi\)
\(734\) 2.00870e7 7.18748e6i 1.37618 0.492421i
\(735\) −2.14724e6 1.40985e7i −0.146610 0.962621i
\(736\) 1.37539e7 2.04091e6i 0.935901 0.138877i
\(737\) 9.29078e6i 0.630062i
\(738\) −1.10902e7 4.70577e6i −0.749544 0.318046i
\(739\) 4.56621e6i 0.307570i 0.988104 + 0.153785i \(0.0491464\pi\)
−0.988104 + 0.153785i \(0.950854\pi\)
\(740\) 6.37539e6 + 7.76811e6i 0.427984 + 0.521478i
\(741\) 2.92027e7 + 1.14093e7i 1.95379 + 0.763332i
\(742\) 1.46377e6 + 4.09082e6i 0.0976028 + 0.272773i
\(743\) −8.52924e6 1.47731e7i −0.566811 0.981745i −0.996879 0.0789485i \(-0.974844\pi\)
0.430068 0.902797i \(1.64151\pi\)
\(744\) 1.38550e7 + 1.79107e7i 0.917642 + 1.18626i
\(745\) −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
\(750\) −405550. + 1.40602e7i −0.0263264 + 0.912720i
\(751\) −4.42935e6 + 2.55729e6i −0.286576 + 0.165455i −0.636397 0.771362i \(-0.719576\pi\)
0.349821 + 0.936817i \(0.386243\pi\)
\(752\) 2.90495e6 1.46073e7i 0.187324 0.941943i
\(753\) 9.46114e6 + 1.18265e7i 0.608074 + 0.760094i
\(754\) −2.74884e7 2.33217e7i −1.76084 1.49393i
\(755\) −2.07811e7 −1.32679
\(756\) −442632. 4.72179e6i −0.0281669 0.300471i
\(757\) 6.36558e6 0.403736 0.201868 0.979413i \(-0.435299\pi\)
0.201868 + 0.979413i \(0.435299\pi\)
\(758\) 1.75633e7 + 1.49010e7i 1.11028 + 0.941981i
\(759\) 5.07409e6 + 6.34262e6i 0.319708 + 0.399636i
\(760\) 334556. 2.04832e7i 0.0210104 1.28636i
\(761\) −9.28199e6 + 5.35896e6i −0.581005 + 0.335443i −0.761533 0.648127i</