Properties

Label 29.6.d.a.16.9
Level $29$
Weight $6$
Character 29.16
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 29.d (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.65113077458\)
Analytic rank: \(0\)
Dimension: \(66\)
Relative dimension: \(11\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 16.9
Character \(\chi\) \(=\) 29.16
Dual form 29.6.d.a.20.9

$q$-expansion

\(f(q)\) \(=\) \(q+(3.98347 + 1.91834i) q^{2} +(6.52648 - 8.18394i) q^{3} +(-7.76363 - 9.73529i) q^{4} +(64.0881 + 30.8632i) q^{5} +(41.6976 - 20.0805i) q^{6} +(85.0547 - 106.655i) q^{7} +(-43.7334 - 191.609i) q^{8} +(29.6906 + 130.083i) q^{9} +O(q^{10})\) \(q+(3.98347 + 1.91834i) q^{2} +(6.52648 - 8.18394i) q^{3} +(-7.76363 - 9.73529i) q^{4} +(64.0881 + 30.8632i) q^{5} +(41.6976 - 20.0805i) q^{6} +(85.0547 - 106.655i) q^{7} +(-43.7334 - 191.609i) q^{8} +(29.6906 + 130.083i) q^{9} +(196.087 + 245.886i) q^{10} +(-58.7994 + 257.617i) q^{11} -130.342 q^{12} +(2.84949 - 12.4844i) q^{13} +(543.414 - 261.694i) q^{14} +(670.852 - 323.065i) q^{15} +(104.694 - 458.693i) q^{16} -2149.82 q^{17} +(-131.272 + 575.138i) q^{18} +(721.037 + 904.152i) q^{19} +(-197.094 - 863.527i) q^{20} +(-317.753 - 1392.17i) q^{21} +(-728.423 + 913.414i) q^{22} +(-2674.06 + 1287.76i) q^{23} +(-1853.54 - 892.617i) q^{24} +(1206.34 + 1512.70i) q^{25} +(35.3003 - 44.2652i) q^{26} +(3550.11 + 1709.64i) q^{27} -1698.65 q^{28} +(-3250.21 - 3153.93i) q^{29} +3292.07 q^{30} +(2734.08 + 1316.66i) q^{31} +(-2624.25 + 3290.71i) q^{32} +(1724.57 + 2162.54i) q^{33} +(-8563.74 - 4124.08i) q^{34} +(8742.71 - 4210.27i) q^{35} +(1035.89 - 1298.96i) q^{36} +(755.116 + 3308.38i) q^{37} +(1137.76 + 4984.86i) q^{38} +(-83.5749 - 104.800i) q^{39} +(3110.86 - 13629.6i) q^{40} +17005.6 q^{41} +(1404.89 - 6155.21i) q^{42} +(12222.6 - 5886.08i) q^{43} +(2964.47 - 1427.62i) q^{44} +(-2111.96 + 9253.11i) q^{45} -13122.4 q^{46} +(-2581.38 + 11309.8i) q^{47} +(-3070.64 - 3850.46i) q^{48} +(-401.122 - 1757.43i) q^{49} +(1903.55 + 8339.99i) q^{50} +(-14030.7 + 17594.0i) q^{51} +(-143.662 + 69.1841i) q^{52} +(-29209.9 - 14066.8i) q^{53} +(10862.1 + 13620.6i) q^{54} +(-11719.2 + 14695.4i) q^{55} +(-24155.8 - 11632.8i) q^{56} +12105.4 q^{57} +(-6896.84 - 18798.6i) q^{58} -12459.1 q^{59} +(-8353.39 - 4022.78i) q^{60} +(14855.5 - 18628.3i) q^{61} +(8365.31 + 10489.8i) q^{62} +(16399.3 + 7897.50i) q^{63} +(-30331.0 + 14606.6i) q^{64} +(567.929 - 712.160i) q^{65} +(2721.29 + 11922.7i) q^{66} +(-10648.8 - 46655.3i) q^{67} +(16690.4 + 20929.1i) q^{68} +(-6913.23 + 30288.9i) q^{69} +42903.1 q^{70} +(6518.65 - 28560.1i) q^{71} +(23626.5 - 11377.9i) q^{72} +(-9954.34 + 4793.76i) q^{73} +(-3338.61 + 14627.4i) q^{74} +20253.0 q^{75} +(3204.31 - 14039.0i) q^{76} +(22475.0 + 28182.8i) q^{77} +(-131.877 - 577.791i) q^{78} +(-10685.2 - 46814.9i) q^{79} +(20866.4 - 26165.6i) q^{80} +(7949.13 - 3828.10i) q^{81} +(67741.3 + 32622.5i) q^{82} +(12952.8 + 16242.3i) q^{83} +(-11086.2 + 13901.7i) q^{84} +(-137778. - 66350.2i) q^{85} +59979.8 q^{86} +(-47024.0 + 6015.53i) q^{87} +51933.1 q^{88} +(-21582.0 - 10393.3i) q^{89} +(-26163.6 + 32808.1i) q^{90} +(-1089.17 - 1365.77i) q^{91} +(33297.1 + 16035.0i) q^{92} +(28619.4 - 13782.4i) q^{93} +(-31978.8 + 40100.2i) q^{94} +(18304.9 + 80198.9i) q^{95} +(9803.85 + 42953.5i) q^{96} +(-48643.4 - 60996.9i) q^{97} +(1773.49 - 7770.16i) q^{98} -35257.4 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} + O(q^{10}) \) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} - 141q^{10} + 1125q^{11} - 248q^{12} - 1789q^{13} + 1233q^{14} + 1061q^{15} + 2629q^{16} + 676q^{17} - 10896q^{18} - 1903q^{19} + 4081q^{20} - 439q^{21} - 2980q^{22} + 9945q^{23} + 10741q^{24} - 22114q^{25} - 1641q^{26} - 4427q^{27} + 7508q^{28} - 13100q^{29} - 40018q^{30} + 8541q^{31} + 18996q^{32} + 20725q^{33} - 8839q^{34} + 14127q^{35} + 70172q^{36} + 3791q^{37} + 36322q^{38} + 25843q^{39} - 72621q^{40} - 18720q^{41} - 72614q^{42} - 10419q^{43} + 35796q^{44} + 23163q^{45} + 15848q^{46} - 40549q^{47} - 4194q^{48} + 19808q^{49} + 201932q^{50} + 51998q^{51} + 8330q^{52} - 72275q^{53} - 197108q^{54} + 42183q^{55} + 31599q^{56} - 40162q^{57} - 258031q^{58} - 333512q^{59} + 26920q^{60} - 175281q^{61} + 213745q^{62} + 354423q^{63} - 19790q^{64} - 79593q^{65} + 103783q^{66} + 135179q^{67} + 334644q^{68} + 73673q^{69} - 511678q^{70} - 187563q^{71} - 17551q^{72} - 56675q^{73} + 159980q^{74} + 538208q^{75} - 215041q^{76} + 106099q^{77} + 37481q^{78} + 273775q^{79} + 571652q^{80} - 61356q^{81} - 37092q^{82} - 237831q^{83} + 127523q^{84} - 148844q^{85} - 348400q^{86} - 110493q^{87} - 985638q^{88} + 74239q^{89} - 630714q^{90} + 100309q^{91} + 132694q^{92} - 307921q^{93} + 206074q^{94} + 37965q^{95} + 687094q^{96} + 136055q^{97} - 115704q^{98} + 438608q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.98347 + 1.91834i 0.704185 + 0.339118i 0.751473 0.659763i \(-0.229344\pi\)
−0.0472879 + 0.998881i \(0.515058\pi\)
\(3\) 6.52648 8.18394i 0.418674 0.525000i −0.527110 0.849797i \(-0.676724\pi\)
0.945784 + 0.324797i \(0.105296\pi\)
\(4\) −7.76363 9.73529i −0.242614 0.304228i
\(5\) 64.0881 + 30.8632i 1.14644 + 0.552098i 0.907963 0.419050i \(-0.137637\pi\)
0.238480 + 0.971148i \(0.423351\pi\)
\(6\) 41.6976 20.0805i 0.472861 0.227718i
\(7\) 85.0547 106.655i 0.656074 0.822691i −0.336835 0.941564i \(-0.609357\pi\)
0.992910 + 0.118872i \(0.0379279\pi\)
\(8\) −43.7334 191.609i −0.241595 1.05850i
\(9\) 29.6906 + 130.083i 0.122183 + 0.535320i
\(10\) 196.087 + 245.886i 0.620082 + 0.777558i
\(11\) −58.7994 + 257.617i −0.146518 + 0.641938i 0.847319 + 0.531085i \(0.178215\pi\)
−0.993837 + 0.110853i \(0.964642\pi\)
\(12\) −130.342 −0.261296
\(13\) 2.84949 12.4844i 0.00467638 0.0204885i −0.972536 0.232753i \(-0.925227\pi\)
0.977212 + 0.212264i \(0.0680838\pi\)
\(14\) 543.414 261.694i 0.740987 0.356841i
\(15\) 670.852 323.065i 0.769837 0.370734i
\(16\) 104.694 458.693i 0.102240 0.447942i
\(17\) −2149.82 −1.80418 −0.902089 0.431551i \(-0.857967\pi\)
−0.902089 + 0.431551i \(0.857967\pi\)
\(18\) −131.272 + 575.138i −0.0954969 + 0.418399i
\(19\) 721.037 + 904.152i 0.458219 + 0.574589i 0.956243 0.292575i \(-0.0945120\pi\)
−0.498023 + 0.867164i \(0.665941\pi\)
\(20\) −197.094 863.527i −0.110179 0.482726i
\(21\) −317.753 1392.17i −0.157232 0.688878i
\(22\) −728.423 + 913.414i −0.320868 + 0.402356i
\(23\) −2674.06 + 1287.76i −1.05403 + 0.507592i −0.878926 0.476959i \(-0.841739\pi\)
−0.175100 + 0.984551i \(0.556025\pi\)
\(24\) −1853.54 892.617i −0.656861 0.316328i
\(25\) 1206.34 + 1512.70i 0.386029 + 0.484065i
\(26\) 35.3003 44.2652i 0.0102411 0.0128419i
\(27\) 3550.11 + 1709.64i 0.937199 + 0.451331i
\(28\) −1698.65 −0.409458
\(29\) −3250.21 3153.93i −0.717657 0.696397i
\(30\) 3292.07 0.667830
\(31\) 2734.08 + 1316.66i 0.510983 + 0.246076i 0.671564 0.740946i \(-0.265623\pi\)
−0.160582 + 0.987023i \(0.551337\pi\)
\(32\) −2624.25 + 3290.71i −0.453034 + 0.568087i
\(33\) 1724.57 + 2162.54i 0.275674 + 0.345684i
\(34\) −8563.74 4124.08i −1.27048 0.611829i
\(35\) 8742.71 4210.27i 1.20636 0.580951i
\(36\) 1035.89 1298.96i 0.133216 0.167048i
\(37\) 755.116 + 3308.38i 0.0906796 + 0.397293i 0.999816 0.0192062i \(-0.00611391\pi\)
−0.909136 + 0.416499i \(0.863257\pi\)
\(38\) 1137.76 + 4984.86i 0.127818 + 0.560008i
\(39\) −83.5749 104.800i −0.00879861 0.0110331i
\(40\) 3110.86 13629.6i 0.307419 1.34689i
\(41\) 17005.6 1.57991 0.789955 0.613165i \(-0.210104\pi\)
0.789955 + 0.613165i \(0.210104\pi\)
\(42\) 1404.89 6155.21i 0.122890 0.538418i
\(43\) 12222.6 5886.08i 1.00807 0.485462i 0.144401 0.989519i \(-0.453874\pi\)
0.863670 + 0.504058i \(0.168160\pi\)
\(44\) 2964.47 1427.62i 0.230843 0.111168i
\(45\) −2111.96 + 9253.11i −0.155473 + 0.681171i
\(46\) −13122.4 −0.914363
\(47\) −2581.38 + 11309.8i −0.170454 + 0.746807i 0.815359 + 0.578956i \(0.196540\pi\)
−0.985812 + 0.167851i \(0.946317\pi\)
\(48\) −3070.64 3850.46i −0.192365 0.241218i
\(49\) −401.122 1757.43i −0.0238663 0.104565i
\(50\) 1903.55 + 8339.99i 0.107681 + 0.471781i
\(51\) −14030.7 + 17594.0i −0.755361 + 0.947193i
\(52\) −143.662 + 69.1841i −0.00736774 + 0.00354811i
\(53\) −29209.9 14066.8i −1.42837 0.687867i −0.449676 0.893192i \(-0.648461\pi\)
−0.978694 + 0.205325i \(0.934175\pi\)
\(54\) 10862.1 + 13620.6i 0.506908 + 0.635642i
\(55\) −11719.2 + 14695.4i −0.522387 + 0.655052i
\(56\) −24155.8 11632.8i −1.02932 0.495695i
\(57\) 12105.4 0.493504
\(58\) −6896.84 18798.6i −0.269203 0.733763i
\(59\) −12459.1 −0.465969 −0.232984 0.972481i \(-0.574849\pi\)
−0.232984 + 0.972481i \(0.574849\pi\)
\(60\) −8353.39 4022.78i −0.299560 0.144261i
\(61\) 14855.5 18628.3i 0.511168 0.640985i −0.457539 0.889189i \(-0.651269\pi\)
0.968708 + 0.248205i \(0.0798406\pi\)
\(62\) 8365.31 + 10489.8i 0.276378 + 0.346567i
\(63\) 16399.3 + 7897.50i 0.520565 + 0.250691i
\(64\) −30331.0 + 14606.6i −0.925629 + 0.445760i
\(65\) 567.929 712.160i 0.0166729 0.0209071i
\(66\) 2721.29 + 11922.7i 0.0768979 + 0.336912i
\(67\) −10648.8 46655.3i −0.289810 1.26974i −0.884787 0.465996i \(-0.845696\pi\)
0.594977 0.803742i \(-0.297161\pi\)
\(68\) 16690.4 + 20929.1i 0.437718 + 0.548881i
\(69\) −6913.23 + 30288.9i −0.174807 + 0.765879i
\(70\) 42903.1 1.04651
\(71\) 6518.65 28560.1i 0.153466 0.672378i −0.838396 0.545061i \(-0.816506\pi\)
0.991862 0.127317i \(-0.0406365\pi\)
\(72\) 23626.5 11377.9i 0.537117 0.258662i
\(73\) −9954.34 + 4793.76i −0.218628 + 0.105286i −0.539992 0.841670i \(-0.681573\pi\)
0.321364 + 0.946956i \(0.395859\pi\)
\(74\) −3338.61 + 14627.4i −0.0708740 + 0.310519i
\(75\) 20253.0 0.415755
\(76\) 3204.31 14039.0i 0.0636357 0.278806i
\(77\) 22475.0 + 28182.8i 0.431990 + 0.541698i
\(78\) −131.877 577.791i −0.00245433 0.0107531i
\(79\) −10685.2 46814.9i −0.192626 0.843949i −0.975188 0.221377i \(-0.928945\pi\)
0.782562 0.622572i \(-0.213912\pi\)
\(80\) 20866.4 26165.6i 0.364520 0.457094i
\(81\) 7949.13 3828.10i 0.134619 0.0648292i
\(82\) 67741.3 + 32622.5i 1.11255 + 0.535775i
\(83\) 12952.8 + 16242.3i 0.206381 + 0.258793i 0.874240 0.485495i \(-0.161360\pi\)
−0.667859 + 0.744288i \(0.732789\pi\)
\(84\) −11086.2 + 13901.7i −0.171429 + 0.214966i
\(85\) −137778. 66350.2i −2.06839 0.996082i
\(86\) 59979.8 0.874498
\(87\) −47024.0 + 6015.53i −0.666072 + 0.0852072i
\(88\) 51933.1 0.714888
\(89\) −21582.0 10393.3i −0.288812 0.139085i 0.283868 0.958863i \(-0.408382\pi\)
−0.572681 + 0.819779i \(0.694096\pi\)
\(90\) −26163.6 + 32808.1i −0.340479 + 0.426947i
\(91\) −1089.17 1365.77i −0.0137877 0.0172892i
\(92\) 33297.1 + 16035.0i 0.410144 + 0.197515i
\(93\) 28619.4 13782.4i 0.343125 0.165240i
\(94\) −31978.8 + 40100.2i −0.373287 + 0.468087i
\(95\) 18304.9 + 80198.9i 0.208093 + 0.911715i
\(96\) 9803.85 + 42953.5i 0.108572 + 0.475686i
\(97\) −48643.4 60996.9i −0.524921 0.658231i 0.446724 0.894672i \(-0.352590\pi\)
−0.971646 + 0.236441i \(0.924019\pi\)
\(98\) 1773.49 7770.16i 0.0186536 0.0817269i
\(99\) −35257.4 −0.361544
\(100\) 5361.02 23488.2i 0.0536102 0.234882i
\(101\) 93133.0 44850.5i 0.908448 0.437486i 0.0795152 0.996834i \(-0.474663\pi\)
0.828933 + 0.559348i \(0.188948\pi\)
\(102\) −89642.3 + 43169.5i −0.853125 + 0.410843i
\(103\) −2618.52 + 11472.5i −0.0243200 + 0.106553i −0.985631 0.168912i \(-0.945975\pi\)
0.961311 + 0.275465i \(0.0888318\pi\)
\(104\) −2516.75 −0.0228169
\(105\) 22602.5 99028.1i 0.200071 0.876567i
\(106\) −89372.2 112069.i −0.772570 0.968772i
\(107\) 48411.7 + 212106.i 0.408781 + 1.79099i 0.589845 + 0.807516i \(0.299189\pi\)
−0.181064 + 0.983471i \(0.557954\pi\)
\(108\) −10917.9 47834.3i −0.0900697 0.394621i
\(109\) 108207. 135687.i 0.872344 1.09388i −0.122500 0.992468i \(-0.539091\pi\)
0.994844 0.101416i \(-0.0323373\pi\)
\(110\) −74874.1 + 36057.5i −0.589997 + 0.284128i
\(111\) 32003.8 + 15412.2i 0.246544 + 0.118729i
\(112\) −40017.3 50180.1i −0.301441 0.377995i
\(113\) −67985.6 + 85251.3i −0.500865 + 0.628065i −0.966424 0.256952i \(-0.917282\pi\)
0.465559 + 0.885017i \(0.345853\pi\)
\(114\) 48221.4 + 23222.2i 0.347518 + 0.167356i
\(115\) −211120. −1.48862
\(116\) −5470.92 + 56127.7i −0.0377499 + 0.387287i
\(117\) 1708.62 0.0115393
\(118\) −49630.5 23900.8i −0.328128 0.158018i
\(119\) −182852. + 229289.i −1.18367 + 1.48428i
\(120\) −91240.8 114412.i −0.578410 0.725303i
\(121\) 82192.8 + 39582.0i 0.510352 + 0.245773i
\(122\) 94912.0 45707.2i 0.577327 0.278026i
\(123\) 110987. 139173.i 0.661466 0.829453i
\(124\) −8408.28 36839.1i −0.0491081 0.215157i
\(125\) −18838.7 82537.7i −0.107839 0.472473i
\(126\) 50176.2 + 62919.0i 0.281560 + 0.353066i
\(127\) −70402.4 + 308453.i −0.387328 + 1.69699i 0.286480 + 0.958086i \(0.407515\pi\)
−0.673808 + 0.738907i \(0.735342\pi\)
\(128\) −14156.2 −0.0763696
\(129\) 31599.0 138444.i 0.167186 0.732488i
\(130\) 3628.49 1747.39i 0.0188308 0.00906842i
\(131\) 295229. 142175.i 1.50307 0.723842i 0.512229 0.858849i \(-0.328820\pi\)
0.990845 + 0.135007i \(0.0431057\pi\)
\(132\) 7664.05 33578.4i 0.0382845 0.167735i
\(133\) 157760. 0.773335
\(134\) 47081.7 206278.i 0.226511 0.992411i
\(135\) 174755. + 219135.i 0.825266 + 1.03485i
\(136\) 94018.9 + 411924.i 0.435881 + 1.90972i
\(137\) −41890.7 183535.i −0.190685 0.835445i −0.976247 0.216662i \(-0.930483\pi\)
0.785562 0.618783i \(-0.212374\pi\)
\(138\) −85643.0 + 107393.i −0.382820 + 0.480041i
\(139\) 170.361 82.0414i 0.000747881 0.000360160i −0.433510 0.901149i \(-0.642725\pi\)
0.434258 + 0.900789i \(0.357011\pi\)
\(140\) −108863. 52425.9i −0.469420 0.226061i
\(141\) 75711.1 + 94938.7i 0.320709 + 0.402157i
\(142\) 80754.8 101263.i 0.336084 0.421436i
\(143\) 3048.66 + 1468.16i 0.0124672 + 0.00600388i
\(144\) 62776.5 0.252285
\(145\) −110960. 302441.i −0.438274 1.19460i
\(146\) −48848.9 −0.189659
\(147\) −17000.6 8187.06i −0.0648890 0.0312489i
\(148\) 26345.6 33036.3i 0.0988676 0.123976i
\(149\) −165914. 208049.i −0.612233 0.767715i 0.374996 0.927027i \(-0.377644\pi\)
−0.987228 + 0.159311i \(0.949073\pi\)
\(150\) 80677.5 + 38852.2i 0.292768 + 0.140990i
\(151\) 129460. 62344.7i 0.462055 0.222514i −0.188349 0.982102i \(-0.560314\pi\)
0.650404 + 0.759588i \(0.274599\pi\)
\(152\) 141710. 177699.i 0.497498 0.623842i
\(153\) −63829.3 279654.i −0.220441 0.965813i
\(154\) 35464.5 + 155380.i 0.120501 + 0.527951i
\(155\) 134585. + 168765.i 0.449954 + 0.564225i
\(156\) −371.409 + 1627.25i −0.00122192 + 0.00535356i
\(157\) 342327. 1.10839 0.554195 0.832387i \(-0.313026\pi\)
0.554195 + 0.832387i \(0.313026\pi\)
\(158\) 47242.7 206984.i 0.150554 0.659620i
\(159\) −305759. + 147246.i −0.959151 + 0.461903i
\(160\) −269745. + 129902.i −0.833017 + 0.401160i
\(161\) −90095.0 + 394732.i −0.273928 + 1.20016i
\(162\) 39008.7 0.116782
\(163\) −28012.7 + 122732.i −0.0825821 + 0.361816i −0.999287 0.0377485i \(-0.987981\pi\)
0.916705 + 0.399564i \(0.130839\pi\)
\(164\) −132025. 165554.i −0.383307 0.480652i
\(165\) 43781.4 + 191819.i 0.125193 + 0.548506i
\(166\) 20438.9 + 89548.8i 0.0575689 + 0.252226i
\(167\) −195001. + 244524.i −0.541061 + 0.678470i −0.974931 0.222506i \(-0.928576\pi\)
0.433870 + 0.900976i \(0.357148\pi\)
\(168\) −252854. + 121768.i −0.691190 + 0.332860i
\(169\) 334376. + 161027.i 0.900571 + 0.433692i
\(170\) −421552. 528609.i −1.11874 1.40285i
\(171\) −96206.7 + 120639.i −0.251602 + 0.315499i
\(172\) −152194. 73292.9i −0.392263 0.188904i
\(173\) −534051. −1.35665 −0.678324 0.734763i \(-0.737294\pi\)
−0.678324 + 0.734763i \(0.737294\pi\)
\(174\) −198859. 66245.3i −0.497934 0.165875i
\(175\) 263943. 0.651500
\(176\) 112011. + 53941.8i 0.272571 + 0.131263i
\(177\) −81314.0 + 101965.i −0.195089 + 0.244634i
\(178\) −66033.3 82803.1i −0.156211 0.195883i
\(179\) −230433. 110971.i −0.537541 0.258866i 0.145358 0.989379i \(-0.453567\pi\)
−0.682899 + 0.730513i \(0.739281\pi\)
\(180\) 106478. 51277.2i 0.244951 0.117962i
\(181\) −329284. + 412909.i −0.747091 + 0.936823i −0.999526 0.0307910i \(-0.990197\pi\)
0.252434 + 0.967614i \(0.418769\pi\)
\(182\) −1718.66 7529.92i −0.00384601 0.0168505i
\(183\) −55498.3 243154.i −0.122504 0.536727i
\(184\) 363691. + 456054.i 0.791933 + 0.993052i
\(185\) −53713.3 + 235333.i −0.115386 + 0.505538i
\(186\) 140444. 0.297660
\(187\) 126408. 553829.i 0.264345 1.15817i
\(188\) 130145. 62674.3i 0.268554 0.129329i
\(189\) 484295. 233224.i 0.986179 0.474919i
\(190\) −80931.7 + 354585.i −0.162643 + 0.712585i
\(191\) 659596. 1.30826 0.654130 0.756382i \(-0.273035\pi\)
0.654130 + 0.756382i \(0.273035\pi\)
\(192\) −78414.7 + 343557.i −0.153513 + 0.672583i
\(193\) −483491. 606279.i −0.934320 1.17160i −0.984943 0.172882i \(-0.944692\pi\)
0.0506229 0.998718i \(-0.483879\pi\)
\(194\) −76756.9 336294.i −0.146424 0.641527i
\(195\) −2121.70 9295.79i −0.00399575 0.0175065i
\(196\) −13994.9 + 17549.1i −0.0260214 + 0.0326298i
\(197\) 355336. 171121.i 0.652340 0.314150i −0.0782832 0.996931i \(-0.524944\pi\)
0.730623 + 0.682781i \(0.239230\pi\)
\(198\) −140447. 67635.6i −0.254594 0.122606i
\(199\) −112753. 141388.i −0.201835 0.253093i 0.670605 0.741815i \(-0.266035\pi\)
−0.872440 + 0.488722i \(0.837463\pi\)
\(200\) 237090. 297301.i 0.419120 0.525559i
\(201\) −451324. 217346.i −0.787948 0.379456i
\(202\) 457031. 0.788075
\(203\) −612829. + 78395.9i −1.04376 + 0.133522i
\(204\) 280212. 0.471424
\(205\) 1.08986e6 + 524847.i 1.81128 + 0.872264i
\(206\) −32439.0 + 40677.2i −0.0532598 + 0.0667856i
\(207\) −246910. 309615.i −0.400509 0.502222i
\(208\) −5428.21 2614.09i −0.00869957 0.00418949i
\(209\) −275321. + 132588.i −0.435988 + 0.209961i
\(210\) 280006. 351116.i 0.438146 0.549418i
\(211\) 215183. + 942780.i 0.332738 + 1.45782i 0.813806 + 0.581137i \(0.197392\pi\)
−0.481068 + 0.876684i \(0.659751\pi\)
\(212\) 89831.2 + 393576.i 0.137274 + 0.601436i
\(213\) −191190. 239745.i −0.288746 0.362077i
\(214\) −214044. + 937787.i −0.319498 + 1.39981i
\(215\) 964984. 1.42372
\(216\) 172324. 754999.i 0.251311 1.10106i
\(217\) 372975. 179615.i 0.537688 0.258937i
\(218\) 691332. 332928.i 0.985248 0.474470i
\(219\) −25734.9 + 112752.i −0.0362587 + 0.158860i
\(220\) 234048. 0.326023
\(221\) −6125.89 + 26839.3i −0.00843701 + 0.0369650i
\(222\) 97920.6 + 122789.i 0.133350 + 0.167215i
\(223\) −262394. 1.14963e6i −0.353340 1.54808i −0.769413 0.638751i \(-0.779451\pi\)
0.416073 0.909331i \(-0.363406\pi\)
\(224\) 127766. + 559780.i 0.170136 + 0.745414i
\(225\) −160960. + 201837.i −0.211964 + 0.265794i
\(226\) −434360. + 209177.i −0.565690 + 0.272422i
\(227\) −251549. 121140.i −0.324009 0.156035i 0.264807 0.964301i \(-0.414692\pi\)
−0.588817 + 0.808267i \(0.700406\pi\)
\(228\) −93981.6 117849.i −0.119731 0.150138i
\(229\) 395858. 496391.i 0.498828 0.625511i −0.467136 0.884185i \(-0.654714\pi\)
0.965965 + 0.258674i \(0.0832857\pi\)
\(230\) −840989. 404999.i −1.04826 0.504818i
\(231\) 377329. 0.465254
\(232\) −462177. + 760701.i −0.563752 + 0.927885i
\(233\) −1.19993e6 −1.44799 −0.723993 0.689807i \(-0.757695\pi\)
−0.723993 + 0.689807i \(0.757695\pi\)
\(234\) 6806.23 + 3277.71i 0.00812581 + 0.00391319i
\(235\) −514491. + 645151.i −0.607726 + 0.762064i
\(236\) 96727.9 + 121293.i 0.113050 + 0.141761i
\(237\) −452867. 218089.i −0.523721 0.252211i
\(238\) −1.16824e6 + 562595.i −1.33687 + 0.643804i
\(239\) 501603. 628991.i 0.568023 0.712278i −0.411995 0.911186i \(-0.635168\pi\)
0.980018 + 0.198908i \(0.0637395\pi\)
\(240\) −77953.8 341538.i −0.0873594 0.382746i
\(241\) 149286. + 654066.i 0.165568 + 0.725403i 0.987733 + 0.156153i \(0.0499092\pi\)
−0.822165 + 0.569250i \(0.807234\pi\)
\(242\) 251481. + 315347.i 0.276037 + 0.346139i
\(243\) −192512. + 843452.i −0.209143 + 0.916315i
\(244\) −296684. −0.319022
\(245\) 28532.8 125010.i 0.0303689 0.133055i
\(246\) 709093. 341481.i 0.747077 0.359773i
\(247\) 13342.4 6425.37i 0.0139153 0.00670125i
\(248\) 132713. 581455.i 0.137020 0.600325i
\(249\) 217463. 0.222273
\(250\) 83291.9 364926.i 0.0842855 0.369279i
\(251\) −65270.2 81846.3i −0.0653929 0.0820001i 0.748059 0.663632i \(-0.230986\pi\)
−0.813452 + 0.581632i \(0.802414\pi\)
\(252\) −50434.0 220966.i −0.0500290 0.219191i
\(253\) −174515. 764602.i −0.171409 0.750990i
\(254\) −872164. + 1.09366e6i −0.848231 + 1.06365i
\(255\) −1.44221e6 + 694531.i −1.38892 + 0.668870i
\(256\) 914202. + 440256.i 0.871851 + 0.419861i
\(257\) −554950. 695885.i −0.524108 0.657210i 0.447368 0.894350i \(-0.352362\pi\)
−0.971476 + 0.237140i \(0.923790\pi\)
\(258\) 391457. 490871.i 0.366129 0.459112i
\(259\) 417082. + 200856.i 0.386342 + 0.186053i
\(260\) −11342.3 −0.0104056
\(261\) 313771. 516439.i 0.285110 0.469265i
\(262\) 1.44877e6 1.30391
\(263\) 1.20949e6 + 582458.i 1.07823 + 0.519248i 0.886751 0.462248i \(-0.152957\pi\)
0.191480 + 0.981497i \(0.438671\pi\)
\(264\) 338940. 425018.i 0.299305 0.375316i
\(265\) −1.43786e6 1.80302e6i −1.25778 1.57720i
\(266\) 628433. + 302637.i 0.544571 + 0.262252i
\(267\) −225913. + 108794.i −0.193938 + 0.0933955i
\(268\) −371530. + 465884.i −0.315978 + 0.396224i
\(269\) −45130.2 197728.i −0.0380265 0.166605i 0.952349 0.305010i \(-0.0986597\pi\)
−0.990376 + 0.138405i \(0.955803\pi\)
\(270\) 275754. + 1.20816e6i 0.230204 + 1.00859i
\(271\) −1.05874e6 1.32761e6i −0.875718 1.09812i −0.994452 0.105190i \(-0.966455\pi\)
0.118734 0.992926i \(-0.462116\pi\)
\(272\) −225072. + 986106.i −0.184459 + 0.808168i
\(273\) −18285.8 −0.0148494
\(274\) 185212. 811469.i 0.149037 0.652973i
\(275\) −460631. + 221828.i −0.367300 + 0.176882i
\(276\) 348543. 167849.i 0.275412 0.132632i
\(277\) −433742. + 1.90035e6i −0.339650 + 1.48810i 0.460152 + 0.887840i \(0.347795\pi\)
−0.799802 + 0.600264i \(0.795062\pi\)
\(278\) 836.011 0.000648784
\(279\) −90098.8 + 394749.i −0.0692961 + 0.303606i
\(280\) −1.18907e6 1.49105e6i −0.906386 1.13657i
\(281\) 432382. + 1.89439e6i 0.326665 + 1.43121i 0.825445 + 0.564483i \(0.190924\pi\)
−0.498780 + 0.866728i \(0.666219\pi\)
\(282\) 119468. + 523425.i 0.0894603 + 0.391951i
\(283\) −407485. + 510970.i −0.302444 + 0.379253i −0.909709 0.415246i \(-0.863695\pi\)
0.607265 + 0.794500i \(0.292267\pi\)
\(284\) −328649. + 158269.i −0.241789 + 0.116439i
\(285\) 775809. + 373610.i 0.565774 + 0.272462i
\(286\) 9327.83 + 11696.7i 0.00674319 + 0.00845569i
\(287\) 1.44641e6 1.81373e6i 1.03654 1.29978i
\(288\) −505980. 243667.i −0.359462 0.173108i
\(289\) 3.20186e6 2.25506
\(290\) 138180. 1.41763e6i 0.0964827 0.989843i
\(291\) −816665. −0.565342
\(292\) 123950. + 59691.4i 0.0850729 + 0.0409689i
\(293\) −1.57274e6 + 1.97216e6i −1.07026 + 1.34206i −0.133907 + 0.990994i \(0.542752\pi\)
−0.936350 + 0.351067i \(0.885819\pi\)
\(294\) −52015.9 65225.9i −0.0350968 0.0440100i
\(295\) −798480. 384528.i −0.534206 0.257260i
\(296\) 600891. 289374.i 0.398626 0.191968i
\(297\) −649177. + 814042.i −0.427043 + 0.535495i
\(298\) −261804. 1.14704e6i −0.170779 0.748233i
\(299\) 8457.24 + 37053.6i 0.00547080 + 0.0239691i
\(300\) −157237. 197169.i −0.100868 0.126484i
\(301\) 411806. 1.80424e6i 0.261985 1.14783i
\(302\) 635299. 0.400831
\(303\) 240776. 1.05491e6i 0.150663 0.660099i
\(304\) 490216. 236076.i 0.304231 0.146510i
\(305\) 1.52699e6 735360.i 0.939911 0.452637i
\(306\) 282210. 1.23644e6i 0.172293 0.754867i
\(307\) 2.32683e6 1.40902 0.704512 0.709692i \(-0.251166\pi\)
0.704512 + 0.709692i \(0.251166\pi\)
\(308\) 99879.8 437602.i 0.0599930 0.262847i
\(309\) 76800.6 + 96304.9i 0.0457581 + 0.0573789i
\(310\) 212369. + 930450.i 0.125513 + 0.549906i
\(311\) 473063. + 2.07262e6i 0.277343 + 1.21512i 0.901138 + 0.433533i \(0.142733\pi\)
−0.623794 + 0.781589i \(0.714410\pi\)
\(312\) −16425.5 + 20596.9i −0.00955282 + 0.0119789i
\(313\) −1.74399e6 + 839861.i −1.00620 + 0.484559i −0.863037 0.505141i \(-0.831441\pi\)
−0.143160 + 0.989700i \(0.545726\pi\)
\(314\) 1.36365e6 + 656700.i 0.780512 + 0.375875i
\(315\) 807260. + 1.01227e6i 0.458392 + 0.574805i
\(316\) −372801. + 467477.i −0.210019 + 0.263356i
\(317\) 1.81346e6 + 873315.i 1.01358 + 0.488116i 0.865526 0.500863i \(-0.166984\pi\)
0.148056 + 0.988979i \(0.452698\pi\)
\(318\) −1.50045e6 −0.832060
\(319\) 1.00362e6 651861.i 0.552193 0.358656i
\(320\) −2.39467e6 −1.30728
\(321\) 2.05182e6 + 988103.i 1.11141 + 0.535229i
\(322\) −1.11612e6 + 1.39957e6i −0.599890 + 0.752238i
\(323\) −1.55010e6 1.94376e6i −0.826709 1.03666i
\(324\) −98981.7 47667.1i −0.0523833 0.0252265i
\(325\) 22322.7 10750.1i 0.0117230 0.00564550i
\(326\) −347029. + 435160.i −0.180851 + 0.226780i
\(327\) −404245. 1.77111e6i −0.209062 0.915961i
\(328\) −743713. 3.25842e6i −0.381699 1.67233i
\(329\) 986686. + 1.23726e6i 0.502561 + 0.630192i
\(330\) −193572. + 848094.i −0.0978492 + 0.428705i
\(331\) −1.75604e6 −0.880979 −0.440490 0.897758i \(-0.645195\pi\)
−0.440490 + 0.897758i \(0.645195\pi\)
\(332\) 57562.8 252199.i 0.0286613 0.125574i
\(333\) −407944. + 196455.i −0.201600 + 0.0970853i
\(334\) −1.24586e6 + 599976.i −0.611089 + 0.294285i
\(335\) 757473. 3.31871e6i 0.368770 1.61569i
\(336\) −671843. −0.324653
\(337\) 285222. 1.24964e6i 0.136807 0.599391i −0.859318 0.511442i \(-0.829112\pi\)
0.996125 0.0879490i \(-0.0280313\pi\)
\(338\) 1.02307e6 + 1.28289e6i 0.487096 + 0.610799i
\(339\) 253985. + 1.11278e6i 0.120035 + 0.525909i
\(340\) 423717. + 1.85642e6i 0.198783 + 0.870924i
\(341\) −499956. + 626925.i −0.232834 + 0.291964i
\(342\) −614664. + 296007.i −0.284166 + 0.136847i
\(343\) 1.84415e6 + 888096.i 0.846372 + 0.407591i
\(344\) −1.66236e6 2.08453e6i −0.757406 0.949757i
\(345\) −1.37787e6 + 1.72779e6i −0.623246 + 0.781526i
\(346\) −2.12738e6 1.02449e6i −0.955332 0.460064i
\(347\) −2.79005e6 −1.24391 −0.621955 0.783053i \(-0.713661\pi\)
−0.621955 + 0.783053i \(0.713661\pi\)
\(348\) 423640. + 411090.i 0.187521 + 0.181965i
\(349\) −2.94279e6 −1.29329 −0.646644 0.762792i \(-0.723828\pi\)
−0.646644 + 0.762792i \(0.723828\pi\)
\(350\) 1.05141e6 + 506332.i 0.458777 + 0.220935i
\(351\) 31459.9 39449.5i 0.0136298 0.0170912i
\(352\) −693438. 869544.i −0.298298 0.374054i
\(353\) 1.15237e6 + 554950.i 0.492214 + 0.237038i 0.663490 0.748185i \(-0.269075\pi\)
−0.171276 + 0.985223i \(0.554789\pi\)
\(354\) −519515. + 250185.i −0.220338 + 0.106109i
\(355\) 1.29922e6 1.62917e6i 0.547158 0.686115i
\(356\) 66372.4 + 290797.i 0.0277564 + 0.121609i
\(357\) 683110. + 2.99290e6i 0.283674 + 1.24286i
\(358\) −705044. 884097.i −0.290742 0.364579i
\(359\) −65928.1 + 288850.i −0.0269982 + 0.118287i −0.986631 0.162968i \(-0.947893\pi\)
0.959633 + 0.281255i \(0.0907505\pi\)
\(360\) 1.86534e6 0.758580
\(361\) 253388. 1.11016e6i 0.102333 0.448352i
\(362\) −2.10379e6 + 1.01313e6i −0.843784 + 0.406345i
\(363\) 860366. 414330.i 0.342702 0.165037i
\(364\) −4840.30 + 21206.7i −0.00191478 + 0.00838920i
\(365\) −785905. −0.308772
\(366\) 245376. 1.07506e6i 0.0957478 0.419499i
\(367\) −799993. 1.00316e6i −0.310042 0.388781i 0.602259 0.798301i \(-0.294268\pi\)
−0.912301 + 0.409520i \(0.865696\pi\)
\(368\) 310729. + 1.36139e6i 0.119608 + 0.524039i
\(369\) 504906. + 2.21214e6i 0.193039 + 0.845758i
\(370\) −665414. + 834403.i −0.252690 + 0.316863i
\(371\) −3.98473e6 + 1.91895e6i −1.50302 + 0.723816i
\(372\) −356365. 171617.i −0.133518 0.0642987i
\(373\) −705675. 884888.i −0.262623 0.329319i 0.632984 0.774165i \(-0.281830\pi\)
−0.895607 + 0.444846i \(0.853258\pi\)
\(374\) 1.56598e6 1.96367e6i 0.578903 0.725922i
\(375\) −798434. 384505.i −0.293198 0.141197i
\(376\) 2.27994e6 0.831675
\(377\) −48636.5 + 31590.0i −0.0176242 + 0.0114471i
\(378\) 2.37658e6 0.855506
\(379\) −277370. 133574.i −0.0991885 0.0477667i 0.383632 0.923486i \(-0.374673\pi\)
−0.482820 + 0.875720i \(0.660388\pi\)
\(380\) 638647. 800838.i 0.226883 0.284502i
\(381\) 2.06488e6 + 2.58928e6i 0.728758 + 0.913833i
\(382\) 2.62748e6 + 1.26533e6i 0.921258 + 0.443655i
\(383\) 418342. 201463.i 0.145725 0.0701775i −0.359600 0.933107i \(-0.617087\pi\)
0.505325 + 0.862929i \(0.331373\pi\)
\(384\) −92389.9 + 115853.i −0.0319740 + 0.0400941i
\(385\) 570571. + 2.49983e6i 0.196181 + 0.859526i
\(386\) −762926. 3.34260e6i −0.260624 1.14187i
\(387\) 1.12857e6 + 1.41519e6i 0.383047 + 0.480326i
\(388\) −216173. + 947115.i −0.0728990 + 0.319391i
\(389\) 202282. 0.0677771 0.0338886 0.999426i \(-0.489211\pi\)
0.0338886 + 0.999426i \(0.489211\pi\)
\(390\) 9380.74 41099.7i 0.00312303 0.0136829i
\(391\) 5.74873e6 2.76844e6i 1.90165 0.915786i
\(392\) −319196. + 153717.i −0.104916 + 0.0505250i
\(393\) 763254. 3.34403e6i 0.249280 1.09217i
\(394\) 1.74374e6 0.565902
\(395\) 760064. 3.33006e6i 0.245108 1.07389i
\(396\) 273725. + 343241.i 0.0877156 + 0.109992i
\(397\) −743169. 3.25604e6i −0.236653 1.03684i −0.943992 0.329969i \(-0.892962\pi\)
0.707339 0.706874i \(-0.249895\pi\)
\(398\) −177919. 779515.i −0.0563009 0.246670i
\(399\) 1.02962e6 1.29110e6i 0.323775 0.406001i
\(400\) 820163. 394970.i 0.256301 0.123428i
\(401\) 311957. + 150231.i 0.0968800 + 0.0466549i 0.481696 0.876338i \(-0.340021\pi\)
−0.384816 + 0.922993i \(0.625735\pi\)
\(402\) −1.38089e6 1.73158e6i −0.426182 0.534415i
\(403\) 24228.5 30381.6i 0.00743129 0.00931855i
\(404\) −1.15968e6 558474.i −0.353497 0.170235i
\(405\) 627592. 0.190125
\(406\) −2.59158e6 863325.i −0.780277 0.259932i
\(407\) −896696. −0.268324
\(408\) 3.98477e6 + 1.91896e6i 1.18509 + 0.570711i
\(409\) −188350. + 236184.i −0.0556747 + 0.0698138i −0.808889 0.587961i \(-0.799931\pi\)
0.753214 + 0.657775i \(0.228502\pi\)
\(410\) 3.33458e6 + 4.18143e6i 0.979673 + 1.22847i
\(411\) −1.77544e6 855007.i −0.518444 0.249669i
\(412\) 132017. 63576.2i 0.0383167 0.0184524i
\(413\) −1.05970e6 + 1.32883e6i −0.305710 + 0.383348i
\(414\) −389611. 1.70700e6i −0.111720 0.489477i
\(415\) 328832. + 1.44071e6i 0.0937246 + 0.410634i
\(416\) 33604.9 + 42139.2i 0.00952071 + 0.0119386i
\(417\) 440.433 1929.66i 0.000124034 0.000543427i
\(418\) −1.35108e6 −0.378218
\(419\) −487450. + 2.13566e6i −0.135642 + 0.594287i 0.860721 + 0.509077i \(0.170013\pi\)
−0.996363 + 0.0852101i \(0.972844\pi\)
\(420\) −1.13954e6 + 548776.i −0.315216 + 0.151800i
\(421\) −2.01283e6 + 969326.i −0.553479 + 0.266541i −0.689649 0.724144i \(-0.742235\pi\)
0.136170 + 0.990686i \(0.456521\pi\)
\(422\) −951395. + 4.16833e6i −0.260064 + 1.13941i
\(423\) −1.54785e6 −0.420608
\(424\) −1.41786e6 + 6.21206e6i −0.383018 + 1.67811i
\(425\) −2.59341e6 3.25204e6i −0.696465 0.873340i
\(426\) −301689. 1.32179e6i −0.0805444 0.352888i
\(427\) −723267. 3.16884e6i −0.191968 0.841067i
\(428\) 1.68906e6 2.11801e6i 0.445692 0.558881i
\(429\) 31912.3 15368.2i 0.00837172 0.00403161i
\(430\) 3.84399e6 + 1.85117e6i 1.00256 + 0.482808i
\(431\) 2.61349e6 + 3.27721e6i 0.677683 + 0.849788i 0.995139 0.0984852i \(-0.0313997\pi\)
−0.317455 + 0.948273i \(0.602828\pi\)
\(432\) 1.15587e6 1.44942e6i 0.297990 0.373667i
\(433\) 85452.2 + 41151.6i 0.0219030 + 0.0105479i 0.444803 0.895628i \(-0.353274\pi\)
−0.422900 + 0.906176i \(0.638988\pi\)
\(434\) 1.83030e6 0.466442
\(435\) −3.19934e6 1.06579e6i −0.810657 0.270052i
\(436\) −2.16103e6 −0.544433
\(437\) −3.09242e6 1.48923e6i −0.774632 0.373043i
\(438\) −318811. + 399777.i −0.0794051 + 0.0995708i
\(439\) −2.24592e6 2.81630e6i −0.556203 0.697457i 0.421648 0.906760i \(-0.361452\pi\)
−0.977851 + 0.209303i \(0.932881\pi\)
\(440\) 3.32830e6 + 1.60282e6i 0.819578 + 0.394688i
\(441\) 216702. 104358.i 0.0530599 0.0255523i
\(442\) −75889.2 + 95162.1i −0.0184767 + 0.0231690i
\(443\) 1.13420e6 + 4.96925e6i 0.274587 + 1.20304i 0.904533 + 0.426404i \(0.140220\pi\)
−0.629946 + 0.776639i \(0.716923\pi\)
\(444\) −98423.5 431222.i −0.0236942 0.103811i
\(445\) −1.06238e6 1.33218e6i −0.254319 0.318905i
\(446\) 1.16013e6 5.08286e6i 0.276166 1.20996i
\(447\) −2.78549e6 −0.659376
\(448\) −1.02192e6 + 4.47732e6i −0.240559 + 1.05396i
\(449\) −2.03024e6 + 977710.i −0.475259 + 0.228873i −0.656150 0.754630i \(-0.727816\pi\)
0.180891 + 0.983503i \(0.442102\pi\)
\(450\) −1.02837e6 + 495238.i −0.239397 + 0.115288i
\(451\) −999919. + 4.38093e6i −0.231485 + 1.01420i
\(452\) 1.35776e6 0.312592
\(453\) 334693. 1.46639e6i 0.0766304 0.335740i
\(454\) −769651. 965112.i −0.175249 0.219755i
\(455\) −27650.6 121145.i −0.00626146 0.0274333i
\(456\) −529409. 2.31949e6i −0.119228 0.522373i
\(457\) −1.96556e6 + 2.46474e6i −0.440247 + 0.552052i −0.951608 0.307314i \(-0.900570\pi\)
0.511361 + 0.859366i \(0.329141\pi\)
\(458\) 2.52914e6 1.21797e6i 0.563390 0.271314i
\(459\) −7.63208e6 3.67542e6i −1.69087 0.814282i
\(460\) 1.63906e6 + 2.05531e6i 0.361159 + 0.452880i
\(461\) −1.46414e6 + 1.83598e6i −0.320872 + 0.402360i −0.915940 0.401315i \(-0.868553\pi\)
0.595069 + 0.803675i \(0.297125\pi\)
\(462\) 1.50308e6 + 723845.i 0.327625 + 0.157776i
\(463\) 979336. 0.212314 0.106157 0.994349i \(-0.466145\pi\)
0.106157 + 0.994349i \(0.466145\pi\)
\(464\) −1.78696e6 + 1.16065e6i −0.385319 + 0.250270i
\(465\) 2.25953e6 0.484602
\(466\) −4.77987e6 2.30186e6i −1.01965 0.491038i
\(467\) 3.85671e6 4.83616e6i 0.818322 1.02614i −0.180769 0.983526i \(-0.557859\pi\)
0.999091 0.0426180i \(-0.0135698\pi\)
\(468\) −13265.1 16633.9i −0.00279959 0.00351058i
\(469\) −5.88176e6 2.83251e6i −1.23474 0.594619i
\(470\) −3.28708e6 + 1.58297e6i −0.686382 + 0.330544i
\(471\) 2.23419e6 2.80159e6i 0.464053 0.581905i
\(472\) 544879. + 2.38727e6i 0.112576 + 0.493227i
\(473\) 797674. + 3.49484e6i 0.163935 + 0.718248i
\(474\) −1.38562e6 1.73751e6i −0.283268 0.355206i
\(475\) −497897. + 2.18143e6i −0.101253 + 0.443616i
\(476\) 3.65179e6 0.738735
\(477\) 962585. 4.21736e6i 0.193706 0.848682i
\(478\) 3.20474e6 1.54332e6i 0.641540 0.308949i
\(479\) 5.40985e6 2.60524e6i 1.07732 0.518812i 0.190863 0.981617i \(-0.438871\pi\)
0.886460 + 0.462805i \(0.153157\pi\)
\(480\) −697371. + 3.05538e6i −0.138153 + 0.605289i
\(481\) 43455.0 0.00856401
\(482\) −660043. + 2.89184e6i −0.129406 + 0.566965i
\(483\) 2.64246e6 + 3.31354e6i 0.515395 + 0.646286i
\(484\) −252773. 1.10747e6i −0.0490475 0.214891i
\(485\) −1.23490e6 5.41046e6i −0.238385 1.04443i
\(486\) −2.38490e6 + 2.99057e6i −0.458014 + 0.574332i
\(487\) 6.24579e6 3.00781e6i 1.19334 0.574683i 0.271571 0.962418i \(-0.412457\pi\)
0.921771 + 0.387735i \(0.126742\pi\)
\(488\) −4.21902e6 2.03177e6i −0.801977 0.386212i
\(489\) 821604. + 1.03026e6i 0.155378 + 0.194838i
\(490\) 353472. 443239.i 0.0665065 0.0833965i
\(491\) −1.50683e6 725651.i −0.282072 0.135839i 0.287499 0.957781i \(-0.407176\pi\)
−0.569571 + 0.821942i \(0.692891\pi\)
\(492\) −2.21655e6 −0.412823
\(493\) 6.98737e6 + 6.78037e6i 1.29478 + 1.25642i
\(494\) 65475.3 0.0120715
\(495\) −2.25958e6 1.08815e6i −0.414490 0.199608i
\(496\) 890184. 1.11626e6i 0.162471 0.203732i
\(497\) −2.49164e6 3.12442e6i −0.452474 0.567385i
\(498\) 866257. + 417167.i 0.156521 + 0.0753767i
\(499\) 759473. 365743.i 0.136540 0.0657543i −0.364366 0.931256i \(-0.618714\pi\)
0.500906 + 0.865501i \(0.333000\pi\)
\(500\) −657271. + 824192.i −0.117576 + 0.147436i
\(501\) 728499. + 3.19176e6i 0.129668 + 0.568115i
\(502\) −102993. 451243.i −0.0182410 0.0799192i
\(503\) 5.60534e6 + 7.02887e6i 0.987829 + 1.23870i 0.971059 + 0.238839i \(0.0767667\pi\)
0.0167695 + 0.999859i \(0.494662\pi\)
\(504\) 796031. 3.48764e6i 0.139590 0.611583i
\(505\) 7.35295e6 1.28302
\(506\) 771589. 3.38055e6i 0.133971 0.586964i
\(507\) 3.50013e6 1.68557e6i 0.604734 0.291224i
\(508\) 3.54946e6 1.70933e6i 0.610243 0.293878i
\(509\) −80219.3 + 351464.i −0.0137241 + 0.0601293i −0.981326 0.192350i \(-0.938389\pi\)
0.967602 + 0.252480i \(0.0812461\pi\)
\(510\) −7.07735e6 −1.20488
\(511\) −335384. + 1.46941e6i −0.0568185 + 0.248938i
\(512\) 3.07958e6 + 3.86167e6i 0.519178 + 0.651028i
\(513\) 1.01398e6 + 4.44255e6i 0.170113 + 0.745313i
\(514\) −875684. 3.83662e6i −0.146197 0.640532i
\(515\) −521894. + 654435.i −0.0867091 + 0.108730i
\(516\) −1.59312e6 + 767205.i −0.263405 + 0.126849i
\(517\) −2.76180e6 1.33001e6i −0.454429 0.218842i
\(518\) 1.27613e6 + 1.60021e6i 0.208963 + 0.262031i
\(519\) −3.48547e6 + 4.37064e6i −0.567993 + 0.712241i
\(520\) −161294. 77674.9i −0.0261582 0.0125971i
\(521\) −2.80178e6 −0.452210 −0.226105 0.974103i \(-0.572599\pi\)
−0.226105 + 0.974103i \(0.572599\pi\)
\(522\) 2.24061e6 1.45530e6i 0.359906 0.233764i
\(523\) 8.29981e6 1.32683 0.663413 0.748253i \(-0.269107\pi\)
0.663413 + 0.748253i \(0.269107\pi\)
\(524\) −3.67616e6 1.77034e6i −0.584879 0.281663i
\(525\) 1.72262e6 2.16009e6i 0.272766 0.342038i
\(526\) 3.70061e6 + 4.64041e6i 0.583188 + 0.731294i
\(527\) −5.87776e6 2.83058e6i −0.921903 0.443965i
\(528\) 1.17249e6 564644.i 0.183032 0.0881434i
\(529\) 1.47927e6 1.85494e6i 0.229830 0.288198i
\(530\) −2.26888e6 9.94061e6i −0.350850 1.53718i
\(531\) −369918. 1.62072e6i −0.0569336 0.249443i
\(532\) −1.22479e6 1.53584e6i −0.187622 0.235270i
\(533\) 48457.3 212305.i 0.00738825 0.0323700i
\(534\) −1.10862e6 −0.168240
\(535\) −3.44364e6 + 1.50876e7i −0.520156 + 2.27895i
\(536\) −8.47386e6 + 4.08079e6i −1.27400 + 0.613526i
\(537\) −2.41209e6 + 1.16160e6i −0.360959 + 0.173829i
\(538\) 199535. 874221.i 0.0297210 0.130216i
\(539\) 476329. 0.0706213
\(540\) 776615. 3.40257e6i 0.114610 0.502138i
\(541\) 2.05994e6 + 2.58308e6i 0.302595 + 0.379442i 0.909761 0.415133i \(-0.136265\pi\)
−0.607166 + 0.794575i \(0.707694\pi\)
\(542\) −1.67063e6 7.31953e6i −0.244277 1.07025i
\(543\) 1.23016e6 + 5.38968e6i 0.179045 + 0.784446i
\(544\) 5.64166e6 7.07442e6i 0.817353 1.02493i
\(545\) 1.11225e7 5.35631e6i 1.60402 0.772457i
\(546\) −72841.2 35078.5i −0.0104567 0.00503569i
\(547\) −1.13138e6 1.41870e6i −0.161673 0.202732i 0.694396 0.719593i \(-0.255672\pi\)
−0.856069 + 0.516861i \(0.827100\pi\)
\(548\) −1.46154e6 + 1.83272e6i −0.207903 + 0.260702i
\(549\) 2.86429e6 + 1.37937e6i 0.405588 + 0.195321i
\(550\) −2.26045e6 −0.318631
\(551\) 508104. 5.21278e6i 0.0712974 0.731460i
\(552\) 6.10594e6 0.852914
\(553\) −5.90188e6 2.84219e6i −0.820687 0.395222i
\(554\) −5.37331e6 + 6.73792e6i −0.743819 + 0.932720i
\(555\) 1.57539e6 + 1.97548e6i 0.217099 + 0.272233i
\(556\) −2121.32 1021.57i −0.000291017 0.000140146i
\(557\) 1.27026e7 6.11725e6i 1.73482 0.835446i 0.750096 0.661329i \(-0.230007\pi\)
0.984725 0.174117i \(-0.0557070\pi\)
\(558\) −1.11617e6 + 1.39963e6i −0.151755 + 0.190295i
\(559\) −38656.3 169364.i −0.00523228 0.0229241i
\(560\) −1.01591e6 4.45101e6i −0.136895 0.599775i
\(561\) −3.70751e6 4.64907e6i −0.497365 0.623676i
\(562\) −1.91170e6 + 8.37571e6i −0.255317 + 1.11862i
\(563\) −9.29124e6 −1.23539 −0.617693 0.786419i \(-0.711933\pi\)
−0.617693 + 0.786419i \(0.711933\pi\)
\(564\) 336462. 1.47414e6i 0.0445388 0.195137i
\(565\) −6.98820e6 + 3.36534e6i −0.920967 + 0.443514i
\(566\) −2.60342e6 + 1.25374e6i −0.341588 + 0.164500i
\(567\) 267824. 1.17341e6i 0.0349858 0.153283i
\(568\) −5.75744e6 −0.748787
\(569\) −1.28919e6 + 5.64832e6i −0.166931 + 0.731373i 0.820281 + 0.571961i \(0.193817\pi\)
−0.987212 + 0.159412i \(0.949040\pi\)
\(570\) 2.37370e6 + 2.97653e6i 0.306013 + 0.383728i
\(571\) 1.93186e6 + 8.46402e6i 0.247962 + 1.08639i 0.933563 + 0.358414i \(0.116682\pi\)
−0.685601 + 0.727977i \(0.740461\pi\)
\(572\) −9375.74 41077.8i −0.00119816 0.00524949i
\(573\) 4.30484e6 5.39809e6i 0.547734 0.686837i
\(574\) 9.24108e6 4.45027e6i 1.17069 0.563776i
\(575\) −5.17382e6 2.49158e6i −0.652592 0.314272i
\(576\) −2.80062e6 3.51187e6i −0.351721 0.441044i
\(577\) −3.55058e6 + 4.45229e6i −0.443977 + 0.556729i −0.952586 0.304268i \(-0.901588\pi\)
0.508610 + 0.860997i \(0.330160\pi\)
\(578\) 1.27545e7 + 6.14225e6i 1.58798 + 0.764730i
\(579\) −8.11725e6 −1.00627
\(580\) −2.08290e6 + 3.42827e6i −0.257098 + 0.423160i
\(581\) 2.83403e6 0.348308
\(582\) −3.25316e6 1.56664e6i −0.398106 0.191718i
\(583\) 5.34136e6 6.69786e6i 0.650850 0.816140i
\(584\) 1.35386e6 + 1.69769e6i 0.164264 + 0.205981i
\(585\) 109502. + 52733.4i 0.0132292 + 0.00637083i
\(586\) −1.00482e7 + 4.83898e6i −1.20878 + 0.582116i
\(587\) −9.05816e6 + 1.13586e7i −1.08504 + 1.36059i −0.157219 + 0.987564i \(0.550253\pi\)
−0.927819 + 0.373031i \(0.878319\pi\)
\(588\) 52283.1 + 229067.i 0.00623617 + 0.0273224i
\(589\) 780908. + 3.42138e6i 0.0927495 + 0.406362i
\(590\) −2.44307e6 3.06351e6i −0.288939 0.362318i
\(591\) 918650. 4.02487e6i 0.108189 0.474005i
\(592\) 1.59659e6 0.187236
\(593\) 3.29717e6 1.44459e7i 0.385039 1.68697i −0.296378 0.955071i \(-0.595779\pi\)
0.681417 0.731896i \(-0.261364\pi\)
\(594\) −4.14759e6 + 1.99737e6i −0.482314 + 0.232270i
\(595\) −1.87952e7 + 9.05131e6i −2.17648 + 1.04814i
\(596\) −737326. + 3.23044e6i −0.0850244 + 0.372516i
\(597\) −1.89299e6 −0.217377
\(598\) −37392.2 + 163826.i −0.00427590 + 0.0187340i
\(599\) 3.14895e6 + 3.94866e6i 0.358591 + 0.449659i 0.928103 0.372325i \(-0.121439\pi\)
−0.569512 + 0.821983i \(0.692868\pi\)
\(600\) −885735. 3.88066e6i −0.100444 0.440076i
\(601\) −1.81602e6 7.95650e6i −0.205085 0.898537i −0.967784 0.251783i \(-0.918983\pi\)
0.762698 0.646754i \(-0.223874\pi\)
\(602\) 5.10156e6 6.39715e6i 0.573736 0.719442i
\(603\) 5.75289e6 2.77045e6i 0.644307 0.310282i
\(604\) −1.61202e6 776310.i −0.179796 0.0865851i
\(605\) 4.04595e6 + 5.07346e6i 0.449399 + 0.563529i
\(606\) 2.98280e6 3.74032e6i 0.329946 0.413739i
\(607\) −4.36012e6 2.09972e6i −0.480315 0.231308i 0.178028 0.984025i \(-0.443028\pi\)
−0.658343 + 0.752718i \(0.728742\pi\)
\(608\) −4.86748e6 −0.534005
\(609\) −3.35802e6 + 5.52700e6i −0.366894 + 0.603874i
\(610\) 7.49340e6 0.815369
\(611\) 133840. + 64454.2i 0.0145039 + 0.00698470i
\(612\) −2.22697e6 + 2.79253e6i −0.240345 + 0.301383i
\(613\) 1.59963e6 + 2.00588e6i 0.171937 + 0.215602i 0.860332 0.509733i \(-0.170256\pi\)
−0.688395 + 0.725336i \(0.741685\pi\)
\(614\) 9.26886e6 + 4.46365e6i 0.992214 + 0.477825i
\(615\) 1.14082e7 5.49392e6i 1.21627 0.585726i
\(616\) 4.41716e6 5.53894e6i 0.469020 0.588132i
\(617\) −524357. 2.29736e6i −0.0554516 0.242950i 0.939605 0.342262i \(-0.111193\pi\)
−0.995056 + 0.0993121i \(0.968336\pi\)
\(618\) 121188. + 530958.i 0.0127640 + 0.0559228i
\(619\) 5.66413e6 + 7.10259e6i 0.594164 + 0.745058i 0.984456 0.175633i \(-0.0561972\pi\)
−0.390292 + 0.920691i \(0.627626\pi\)
\(620\) 598102. 2.62045e6i 0.0624879 0.273777i
\(621\) −1.16948e7 −1.21692
\(622\) −2.09156e6 + 9.16374e6i −0.216768 + 0.949723i
\(623\) −2.94415e6 + 1.41783e6i −0.303906 + 0.146354i
\(624\) −56820.6 + 27363.4i −0.00584177 + 0.00281325i
\(625\) 2.68547e6 1.17658e7i 0.274992 1.20482i
\(626\) −8.55827e6 −0.872871
\(627\) −711788. + 3.11855e6i −0.0723072 + 0.316799i
\(628\) −2.65770e6 3.33265e6i −0.268910 0.337203i
\(629\) −1.62336e6 7.11241e6i −0.163602 0.716787i
\(630\) 1.27382e6 + 5.58096e6i 0.127866 + 0.560218i
\(631\) 7.83593e6 9.82595e6i 0.783461 0.982429i −0.216520 0.976278i \(-0.569471\pi\)
0.999981 0.00615091i \(-0.00195791\pi\)
\(632\) −8.50284e6 + 4.09475e6i −0.846781 + 0.407788i
\(633\) 9.12004e6 + 4.39198e6i 0.904665 + 0.435664i
\(634\) 5.54854e6 + 6.95765e6i 0.548221 + 0.687448i
\(635\) −1.40318e7 + 1.75953e7i −1.38095 + 1.73166i
\(636\) 3.80729e6 + 1.83349e6i 0.373227 + 0.179737i
\(637\) −23083.5 −0.00225400
\(638\) 5.24837e6 671396.i 0.510473 0.0653021i
\(639\) 3.90872e6 0.378689
\(640\) −907242. 436905.i −0.0875534 0.0421635i
\(641\) 7.97825e6 1.00044e7i 0.766942 0.961715i −0.233000 0.972477i \(-0.574854\pi\)
0.999942 + 0.0107615i \(0.00342555\pi\)
\(642\) 6.27784e6 + 7.87217e6i 0.601136 + 0.753801i
\(643\) 4.13952e6 + 1.99349e6i 0.394841 + 0.190146i 0.620760 0.784001i \(-0.286824\pi\)
−0.225919 + 0.974146i \(0.572538\pi\)
\(644\) 4.54229e6 2.18745e6i 0.431579 0.207838i
\(645\) 6.29795e6 7.89738e6i 0.596073 0.747452i
\(646\) −2.44598e6 1.07165e7i −0.230606 1.01035i
\(647\) −1.30805e6 5.73095e6i −0.122847 0.538228i −0.998473 0.0552383i \(-0.982408\pi\)
0.875626 0.482989i \(-0.160449\pi\)
\(648\) −1.08114e6 1.35571e6i −0.101145 0.126832i
\(649\) 732588. 3.20968e6i 0.0682728 0.299123i
\(650\) 109544. 0.0101697
\(651\) 964250. 4.22466e6i 0.0891738 0.390696i
\(652\) 1.41231e6 680132.i 0.130110 0.0626577i
\(653\) −9.75062e6 + 4.69565e6i −0.894848 + 0.430936i −0.824025 0.566553i \(-0.808277\pi\)
−0.0708226 + 0.997489i \(0.522562\pi\)
\(654\) 1.78730e6 7.83067e6i 0.163400 0.715903i
\(655\) 2.33086e7 2.12282
\(656\) 1.78038e6 7.80035e6i 0.161530 0.707708i
\(657\) −919136. 1.15256e6i −0.0830742 0.104172i
\(658\) 1.55694e6 + 6.82141e6i 0.140187 + 0.614199i
\(659\) 1.12977e6 + 4.94983e6i 0.101339 + 0.443993i 0.999986 + 0.00532132i \(0.00169384\pi\)
−0.898647 + 0.438672i \(0.855449\pi\)
\(660\) 1.52751e6 1.91544e6i 0.136497 0.171162i
\(661\) 5.18655e6 2.49771e6i 0.461716 0.222351i −0.188541 0.982065i \(-0.560376\pi\)
0.650256 + 0.759715i \(0.274661\pi\)
\(662\) −6.99516e6 3.36869e6i −0.620373 0.298756i
\(663\) 179671. + 225300.i 0.0158743 + 0.0199057i
\(664\) 2.54570e6 3.19221e6i 0.224072 0.280977i
\(665\) 1.01105e7 + 4.86898e6i 0.886585 + 0.426957i
\(666\) −2.00190e6 −0.174887
\(667\) 1.27528e7 + 4.24829e6i 1.10991 + 0.369743i
\(668\) 3.89443e6 0.337678
\(669\) −1.11210e7 5.35558e6i −0.960678 0.462638i
\(670\) 9.38378e6 1.17669e7i 0.807590 1.01269i
\(671\) 3.92546e6 + 4.92237e6i 0.336577 + 0.422054i
\(672\) 5.41507e6 + 2.60776e6i 0.462574 + 0.222764i
\(673\) −1.02238e7 + 4.92354e6i −0.870114 + 0.419025i −0.815004 0.579456i \(-0.803265\pi\)
−0.0551100 + 0.998480i \(0.517551\pi\)
\(674\) 3.53341e6 4.43075e6i 0.299602 0.375689i
\(675\) 1.69646e6 + 7.43267e6i 0.143312 + 0.627893i
\(676\) −1.02833e6 4.50540e6i −0.0865495 0.379198i
\(677\) −4.04971e6 5.07818e6i −0.339588 0.425830i 0.582487 0.812840i \(-0.302080\pi\)
−0.922076 + 0.387009i \(0.873508\pi\)
\(678\) −1.12295e6 + 4.91996e6i −0.0938179 + 0.411043i
\(679\) −1.06430e7 −0.885908
\(680\) −6.68779e6 + 2.93011e7i −0.554639 + 2.43003i
\(681\) −2.63313e6 + 1.26805e6i −0.217572 + 0.104777i
\(682\) −3.19422e6 + 1.53826e6i −0.262969 + 0.126639i
\(683\) −1.52477e6 + 6.68044e6i −0.125070 + 0.547965i 0.873103 + 0.487536i \(0.162104\pi\)
−0.998172 + 0.0604295i \(0.980753\pi\)
\(684\) 1.92137e6 0.157026
\(685\) 2.97979e6 1.30553e7i 0.242638 1.06307i
\(686\) 5.64246e6 + 7.07542e6i 0.457781 + 0.574040i
\(687\) −1.47887e6 6.47936e6i −0.119547 0.523770i
\(688\) −1.42028e6 6.22264e6i −0.114394 0.501192i
\(689\) −258849. + 324587.i −0.0207730 + 0.0260485i
\(690\) −8.80319e6 + 4.23939e6i −0.703910 + 0.338985i
\(691\) −2.03951e7 9.82175e6i −1.62491 0.782517i −0.999998 0.00182466i \(-0.999419\pi\)
−0.624915 0.780693i \(-0.714867\pi\)
\(692\) 4.14618e6 + 5.19914e6i 0.329141 + 0.412730i
\(693\) −2.99880e6 + 3.76038e6i −0.237200 + 0.297439i
\(694\) −1.11141e7 5.35227e6i −0.875943 0.421832i
\(695\) 13450.2 0.00105625
\(696\) 3.20915e6 + 8.74713e6i 0.251112 + 0.684451i
\(697\) −3.65589e7 −2.85044
\(698\) −1.17225e7 5.64527e6i −0.910715 0.438577i
\(699\) −7.83128e6 + 9.82012e6i −0.606234 + 0.760193i
\(700\) −2.04916e6 2.56956e6i −0.158063 0.198205i
\(701\) −1.08672e7 5.23335e6i −0.835258 0.402239i −0.0331737 0.999450i \(-0.510561\pi\)
−0.802085 + 0.597210i \(0.796276\pi\)
\(702\) 200997. 96795.3i 0.0153939 0.00741330i
\(703\) −2.44681e6 + 3.06820e6i −0.186729 + 0.234151i
\(704\) −1.97948e6 8.67265e6i −0.150528 0.659508i
\(705\) 1.92207e6 + 8.42113e6i 0.145645 + 0.638113i
\(706\) 3.52584e6 + 4.42126e6i 0.266226 + 0.333837i
\(707\) 3.13786e6 1.37479e7i 0.236094 1.03440i
\(708\) 1.62395e6 0.121756
\(709\) −3.04382e6 + 1.33358e7i −0.227407 + 0.996334i 0.724339 + 0.689444i \(0.242145\pi\)
−0.951745 + 0.306889i \(0.900712\pi\)
\(710\) 8.30073e6 3.99742e6i 0.617974 0.297601i
\(711\) 5.77257e6 2.77992e6i 0.428248 0.206233i
\(712\) −1.04760e6 + 4.58983e6i −0.0774452 + 0.339310i
\(713\) −9.00661e6 −0.663495
\(714\) −3.02025e6 + 1.32326e7i −0.221716 + 0.971402i
\(715\) 150071. + 188183.i 0.0109782 + 0.0137662i
\(716\) 708665. + 3.10486e6i 0.0516605 + 0.226339i
\(717\) −1.87392e6 8.21019e6i −0.136130 0.596424i
\(718\) −816736. + 1.02415e6i −0.0591249 + 0.0741403i
\(719\) 1.98076e7 9.53883e6i 1.42893 0.688134i 0.450128 0.892964i \(-0.351378\pi\)
0.978798 + 0.204830i \(0.0656642\pi\)
\(720\) 4.02323e6 + 1.93748e6i 0.289230 + 0.139286i
\(721\) 1.00088e6 + 1.25507e6i 0.0717044 + 0.0899144i
\(722\) 3.13904e6 3.93623e6i 0.224106 0.281020i
\(723\) 6.32715e6 + 3.04700e6i 0.450156 + 0.216784i
\(724\) 6.57622e6 0.466262
\(725\) 850091. 8.72133e6i 0.0600649 0.616222i
\(726\) 4.22207e6 0.297293
\(727\) 2.96878e6 + 1.42969e6i 0.208325 + 0.100324i 0.535137 0.844765i \(-0.320260\pi\)
−0.326812 + 0.945089i \(0.605974\pi\)
\(728\) −214061. + 268424.i −0.0149696 + 0.0187712i
\(729\) 6.98307e6 + 8.75649e6i 0.486662 + 0.610255i
\(730\) −3.13063e6 1.50763e6i −0.217433 0.104710i
\(731\) −2.62763e7 + 1.26540e7i −1.81874 + 0.875859i
\(732\) −1.93630e6 + 2.42805e6i −0.133566 + 0.167486i
\(733\) 3.63827e6 + 1.59403e7i 0.250112 + 1.09581i 0.931457 + 0.363851i \(0.118538\pi\)
−0.681345 + 0.731962i \(0.738605\pi\)
\(734\) −1.26235e6 5.53072e6i −0.0864848 0.378914i
\(735\) −836858. 1.04939e6i −0.0571391 0.0716501i
\(736\) 2.77976e6 1.21789e7i 0.189153 0.828734i
\(737\) 1.26453e7 0.857555
\(738\) −2.23235e6 + 9.78057e6i −0.150876 + 0.661033i
\(739\) 6.91185e6 3.32857e6i 0.465568 0.224206i −0.186368 0.982480i \(-0.559672\pi\)
0.651936 + 0.758274i \(0.273957\pi\)
\(740\) 2.70805e6 1.30413e6i 0.181793 0.0875468i
\(741\) 34494.1 151129.i 0.00230781 0.0101112i
\(742\) −1.95543e7 −1.30386
\(743\) 86933.4 380880.i 0.00577717 0.0253114i −0.971957 0.235158i \(-0.924439\pi\)
0.977734 + 0.209846i \(0.0672964\pi\)
\(744\) −3.89244e6 4.88097e6i −0.257804 0.323276i
\(745\) −4.21203e6 1.84541e7i −0.278036 1.21815i
\(746\) −1.11352e6 4.87865e6i −0.0732574 0.320961i
\(747\) −1.72827e6 + 2.16719e6i −0.113321 + 0.142100i
\(748\) −6.37308e6 + 3.06911e6i −0.416481 + 0.200567i
\(749\) 2.67398e7 + 1.28772e7i 1.74162 + 0.838720i
\(750\) −2.44293e6 3.06333e6i −0.158583 0.198857i
\(751\) 6.25765e6 7.84684e6i 0.404866 0.507686i −0.537043 0.843555i \(-0.680459\pi\)
0.941909 + 0.335869i \(0.109030\pi\)
\(752\) 4.91745e6 + 2.36812e6i 0.317099 + 0.152707i
\(753\) −1.09581e6 −0.0704284
\(754\) −254343. + 32536.7i −0.0162926 + 0.00208423i
\(755\) 1.02210e7 0.652569
\(756\) −6.03040e6 2.90409e6i −0.383744 0.184801i
\(757\) 3.36811e6 4.22347e6i 0.213622 0.267874i −0.663462 0.748210i \(-0.730914\pi\)
0.877085 + 0.480336i \(0.159485\pi\)
\(758\) −848655. 1.06418e6i −0.0536486 0.0672732i
\(759\) −7.39643e6 3.56193e6i −0.466034 0.224430i
\(760\) 1.45663e7 7.01474e6i 0.914775 0.440532i
\(761\) −1.21988e7 + 1.52968e7i −0.763580 + 0.957499i −0.999900 0.0141762i \(-0.995487\pi\)
0.236319 + 0.971675i \(0.424059\pi\)
\(762\) 3.25829e6 + 1.42755e7i 0.203283 + 0.890643i
\(763\) −5.26822e6 2.30816e7i −0.327607 1.43534i
\(764\) −5.12086e6 6.42136e6i −0.317402 0.398009i
\(765\) 4.54033e6 1.98925e7i 0.280501 1.22895i
\(766\) 2.05293e6 0.126416
\(767\) −35502.1 + 155545.i −0.00217904 + 0.00954702i
\(768\) 9.56955e6 4.60845e6i 0.585448