Properties

Label 29.6.d.a.20.9
Level $29$
Weight $6$
Character 29.20
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 20.9
Character \(\chi\) \(=\) 29.20
Dual form 29.6.d.a.16.9

$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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 −0.0472879 0.998881i \(-0.515058\pi\)
0.751473 + 0.659763i \(0.229344\pi\)
\(3\) 6.52648 + 8.18394i 0.418674 + 0.525000i 0.945784 0.324797i \(-0.105296\pi\)
−0.527110 + 0.849797i \(0.676724\pi\)
\(4\) −7.76363 + 9.73529i −0.242614 + 0.304228i
\(5\) 64.0881 30.8632i 1.14644 0.552098i 0.238480 0.971148i \(-0.423351\pi\)
0.907963 + 0.419050i \(0.137637\pi\)
\(6\) 41.6976 + 20.0805i 0.472861 + 0.227718i
\(7\) 85.0547 + 106.655i 0.656074 + 0.822691i 0.992910 0.118872i \(-0.0379279\pi\)
−0.336835 + 0.941564i \(0.609357\pi\)
\(8\) −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 −0.993837 0.110853i \(-0.964642\pi\)
0.847319 0.531085i \(-0.178215\pi\)
\(12\) −130.342 −0.261296
\(13\) 2.84949 + 12.4844i 0.00467638 + 0.0204885i 0.977212 0.212264i \(-0.0680838\pi\)
−0.972536 + 0.232753i \(0.925227\pi\)
\(14\) 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 −0.498023 0.867164i \(-0.665941\pi\)
0.956243 + 0.292575i \(0.0945120\pi\)
\(20\) −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 −0.175100 0.984551i \(-0.556025\pi\)
−0.878926 + 0.476959i \(0.841739\pi\)
\(24\) −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 −0.160582 0.987023i \(-0.551337\pi\)
0.671564 + 0.740946i \(0.265623\pi\)
\(32\) −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 −0.909136 0.416499i \(-0.863257\pi\)
0.999816 + 0.0192062i \(0.00611391\pi\)
\(38\) 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 0.863670 0.504058i \(-0.168160\pi\)
0.144401 + 0.989519i \(0.453874\pi\)
\(44\) 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 −0.985812 0.167851i \(-0.946317\pi\)
0.815359 0.578956i \(-0.196540\pi\)
\(48\) −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 −0.978694 0.205325i \(-0.934175\pi\)
−0.449676 + 0.893192i \(0.648461\pi\)
\(54\) 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 0.968708 0.248205i \(-0.0798406\pi\)
−0.457539 + 0.889189i \(0.651269\pi\)
\(62\) 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 0.594977 + 0.803742i \(0.297161\pi\)
−0.884787 + 0.465996i \(0.845696\pi\)
\(68\) 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 0.991862 + 0.127317i \(0.0406365\pi\)
−0.838396 + 0.545061i \(0.816506\pi\)
\(72\) 23626.5 + 11377.9i 0.537117 + 0.258662i
\(73\) −9954.34 4793.76i −0.218628 0.105286i 0.321364 0.946956i \(-0.395859\pi\)
−0.539992 + 0.841670i \(0.681573\pi\)
\(74\) −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 0.782562 + 0.622572i \(0.213912\pi\)
−0.975188 + 0.221377i \(0.928945\pi\)
\(80\) 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 −0.667859 0.744288i \(-0.732789\pi\)
0.874240 + 0.485495i \(0.161360\pi\)
\(84\) −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 −0.572681 0.819779i \(-0.694096\pi\)
0.283868 + 0.958863i \(0.408382\pi\)
\(90\) −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 −0.971646 0.236441i \(-0.924019\pi\)
0.446724 + 0.894672i \(0.352590\pi\)
\(98\) 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 0.828933 0.559348i \(-0.188948\pi\)
0.0795152 + 0.996834i \(0.474663\pi\)
\(102\) −89642.3 43169.5i −0.853125 0.410843i
\(103\) −2618.52 11472.5i −0.0243200 0.106553i 0.961311 0.275465i \(-0.0888318\pi\)
−0.985631 + 0.168912i \(0.945975\pi\)
\(104\) −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 −0.181064 0.983471i \(-0.557954\pi\)
0.589845 0.807516i \(-0.299189\pi\)
\(108\) −10917.9 + 47834.3i −0.0900697 + 0.394621i
\(109\) 108207. + 135687.i 0.872344 + 1.09388i 0.994844 + 0.101416i \(0.0323373\pi\)
−0.122500 + 0.992468i \(0.539091\pi\)
\(110\) −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 0.465559 0.885017i \(-0.345853\pi\)
−0.966424 + 0.256952i \(0.917282\pi\)
\(114\) 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 −0.673808 0.738907i \(-0.735342\pi\)
0.286480 0.958086i \(-0.407515\pi\)
\(128\) −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 0.990845 0.135007i \(-0.0431057\pi\)
0.512229 + 0.858849i \(0.328820\pi\)
\(132\) 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 0.785562 + 0.618783i \(0.212374\pi\)
−0.976247 + 0.216662i \(0.930483\pi\)
\(138\) −85643.0 107393.i −0.382820 0.480041i
\(139\) 170.361 + 82.0414i 0.000747881 + 0.000360160i 0.434258 0.900789i \(-0.357011\pi\)
−0.433510 + 0.901149i \(0.642725\pi\)
\(140\) −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 −0.987228 0.159311i \(-0.949073\pi\)
0.374996 + 0.927027i \(0.377644\pi\)
\(150\) 80677.5 38852.2i 0.292768 0.140990i
\(151\) 129460. + 62344.7i 0.462055 + 0.222514i 0.650404 0.759588i \(-0.274599\pi\)
−0.188349 + 0.982102i \(0.560314\pi\)
\(152\) 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 0.916705 0.399564i \(-0.130839\pi\)
−0.999287 + 0.0377485i \(0.987981\pi\)
\(164\) −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 0.433870 0.900976i \(-0.357148\pi\)
−0.974931 + 0.222506i \(0.928576\pi\)
\(168\) −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 −0.682899 0.730513i \(-0.739281\pi\)
0.145358 + 0.989379i \(0.453567\pi\)
\(180\) 106478. + 51277.2i 0.244951 + 0.117962i
\(181\) −329284. 412909.i −0.747091 0.936823i 0.252434 0.967614i \(-0.418769\pi\)
−0.999526 + 0.0307910i \(0.990197\pi\)
\(182\) −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 0.0506229 + 0.998718i \(0.483879\pi\)
−0.984943 + 0.172882i \(0.944692\pi\)
\(194\) −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 0.730623 0.682781i \(-0.239230\pi\)
−0.0782832 + 0.996931i \(0.524944\pi\)
\(198\) −140447. + 67635.6i −0.254594 + 0.122606i
\(199\) −112753. + 141388.i −0.201835 + 0.253093i −0.872440 0.488722i \(-0.837463\pi\)
0.670605 + 0.741815i \(0.266035\pi\)
\(200\) 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 −0.481068 0.876684i \(-0.659751\pi\)
0.813806 0.581137i \(-0.197392\pi\)
\(212\) 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 0.416073 + 0.909331i \(0.363406\pi\)
−0.769413 + 0.638751i \(0.779451\pi\)
\(224\) 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 −0.588817 0.808267i \(-0.700406\pi\)
0.264807 + 0.964301i \(0.414692\pi\)
\(228\) −93981.6 + 117849.i −0.119731 + 0.150138i
\(229\) 395858. + 496391.i 0.498828 + 0.625511i 0.965965 0.258674i \(-0.0832857\pi\)
−0.467136 + 0.884185i \(0.654714\pi\)
\(230\) −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 0.980018 0.198908i \(-0.0637395\pi\)
−0.411995 + 0.911186i \(0.635168\pi\)
\(240\) −77953.8 + 341538.i −0.0873594 + 0.382746i
\(241\) 149286. 654066.i 0.165568 0.725403i −0.822165 0.569250i \(-0.807234\pi\)
0.987733 0.156153i \(-0.0499092\pi\)
\(242\) 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 −0.813452 0.581632i \(-0.802414\pi\)
0.748059 + 0.663632i \(0.230986\pi\)
\(252\) −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 −0.971476 0.237140i \(-0.923790\pi\)
0.447368 + 0.894350i \(0.352362\pi\)
\(258\) 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 0.191480 0.981497i \(-0.438671\pi\)
0.886751 + 0.462248i \(0.152957\pi\)
\(264\) 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 −0.990376 0.138405i \(-0.955803\pi\)
0.952349 + 0.305010i \(0.0986597\pi\)
\(270\) 275754. 1.20816e6i 0.230204 1.00859i
\(271\) −1.05874e6 + 1.32761e6i −0.875718 + 1.09812i 0.118734 + 0.992926i \(0.462116\pi\)
−0.994452 + 0.105190i \(0.966455\pi\)
\(272\) −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 −0.799802 0.600264i \(-0.795062\pi\)
0.460152 0.887840i \(-0.347795\pi\)
\(278\) 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 −0.498780 0.866728i \(-0.666219\pi\)
0.825445 0.564483i \(-0.190924\pi\)
\(282\) 119468. 523425.i 0.0894603 0.391951i
\(283\) −407485. 510970.i −0.302444 0.379253i 0.607265 0.794500i \(-0.292267\pi\)
−0.909709 + 0.415246i \(0.863695\pi\)
\(284\) −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 −0.936350 0.351067i \(-0.885819\pi\)
−0.133907 0.990994i \(-0.542752\pi\)
\(294\) −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 −0.623794 0.781589i \(-0.714410\pi\)
0.901138 0.433533i \(-0.142733\pi\)
\(312\) −16425.5 20596.9i −0.00955282 0.0119789i
\(313\) −1.74399e6 839861.i −1.00620 0.484559i −0.143160 0.989700i \(-0.545726\pi\)
−0.863037 + 0.505141i \(0.831441\pi\)
\(314\) 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 0.148056 0.988979i \(-0.452698\pi\)
0.865526 + 0.500863i \(0.166984\pi\)
\(318\) −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 0.996125 + 0.0879490i \(0.0280313\pi\)
−0.859318 + 0.511442i \(0.829112\pi\)
\(338\) 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 −0.171276 0.985223i \(-0.554789\pi\)
0.663490 + 0.748185i \(0.269075\pi\)
\(354\) −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 0.959633 0.281255i \(-0.0907505\pi\)
−0.986631 + 0.162968i \(0.947893\pi\)
\(360\) 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 −0.912301 0.409520i \(-0.865696\pi\)
0.602259 + 0.798301i \(0.294268\pi\)
\(368\) 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 −0.895607 0.444846i \(-0.853258\pi\)
0.632984 + 0.774165i \(0.281830\pi\)
\(374\) 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 −0.482820 0.875720i \(-0.660388\pi\)
0.383632 + 0.923486i \(0.374673\pi\)
\(380\) 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 0.505325 0.862929i \(-0.331373\pi\)
−0.359600 + 0.933107i \(0.617087\pi\)
\(384\) −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 0.707339 + 0.706874i \(0.249895\pi\)
−0.943992 + 0.329969i \(0.892962\pi\)
\(398\) −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 −0.384816 0.922993i \(-0.625735\pi\)
0.481696 + 0.876338i \(0.340021\pi\)
\(402\) −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 0.753214 0.657775i \(-0.228502\pi\)
−0.808889 + 0.587961i \(0.799931\pi\)
\(410\) 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 −0.996363 0.0852101i \(-0.972844\pi\)
0.860721 0.509077i \(-0.170013\pi\)
\(420\) −1.13954e6 548776.i −0.315216 0.151800i
\(421\) −2.01283e6 969326.i −0.553479 0.266541i 0.136170 0.990686i \(-0.456521\pi\)
−0.689649 + 0.724144i \(0.742235\pi\)
\(422\) −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 −0.317455 0.948273i \(-0.602828\pi\)
0.995139 + 0.0984852i \(0.0313997\pi\)
\(432\) 1.15587e6 + 1.44942e6i 0.297990 + 0.373667i
\(433\) 85452.2 41151.6i 0.0219030 0.0105479i −0.422900 0.906176i \(-0.638988\pi\)
0.444803 + 0.895628i \(0.353274\pi\)
\(434\) 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 −0.977851 0.209303i \(-0.932881\pi\)
0.421648 + 0.906760i \(0.361452\pi\)
\(440\) 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 −0.629946 0.776639i \(-0.716923\pi\)
0.904533 0.426404i \(-0.140220\pi\)
\(444\) −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 0.180891 0.983503i \(-0.442102\pi\)
−0.656150 + 0.754630i \(0.727816\pi\)
\(450\) −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 0.511361 0.859366i \(-0.329141\pi\)
−0.951608 + 0.307314i \(0.900570\pi\)
\(458\) 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 0.595069 0.803675i \(-0.297125\pi\)
−0.915940 + 0.401315i \(0.868553\pi\)
\(462\) 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 0.999091 + 0.0426180i \(0.0135698\pi\)
−0.180769 + 0.983526i \(0.557859\pi\)
\(468\) −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 0.886460 0.462805i \(-0.153157\pi\)
0.190863 + 0.981617i \(0.438871\pi\)
\(480\) −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 0.921771 0.387735i \(-0.126742\pi\)
0.271571 + 0.962418i \(0.412457\pi\)
\(488\) −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 −0.569571 0.821942i \(-0.692891\pi\)
0.287499 + 0.957781i \(0.407176\pi\)
\(492\) −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 0.500906 0.865501i \(-0.333000\pi\)
−0.364366 + 0.931256i \(0.618714\pi\)
\(500\) −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 0.0167695 0.999859i \(-0.494662\pi\)
0.971059 0.238839i \(-0.0767667\pi\)
\(504\) 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 0.967602 0.252480i \(-0.0812461\pi\)
−0.981326 + 0.192350i \(0.938389\pi\)
\(510\) −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 −0.607166 0.794575i \(-0.707694\pi\)
0.909761 + 0.415133i \(0.136265\pi\)
\(542\) −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 −0.856069 0.516861i \(-0.827100\pi\)
0.694396 + 0.719593i \(0.255672\pi\)
\(548\) −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 0.984725 + 0.174117i \(0.0557070\pi\)
0.750096 + 0.661329i \(0.230007\pi\)
\(558\) −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 −0.987212 0.159412i \(-0.949040\pi\)
0.820281 0.571961i \(-0.193817\pi\)
\(570\) 2.37370e6 2.97653e6i 0.306013 0.383728i
\(571\) 1.93186e6 8.46402e6i 0.247962 1.08639i −0.685601 0.727977i \(-0.740461\pi\)
0.933563 0.358414i \(-0.116682\pi\)
\(572\) −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 0.508610 0.860997i \(-0.330160\pi\)
−0.952586 + 0.304268i \(0.901588\pi\)
\(578\) 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 −0.927819 0.373031i \(-0.878319\pi\)
−0.157219 0.987564i \(-0.550253\pi\)
\(588\) 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 0.681417 + 0.731896i \(0.261364\pi\)
−0.296378 + 0.955071i \(0.595779\pi\)
\(594\) −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 −0.569512 0.821983i \(-0.692868\pi\)
0.928103 + 0.372325i \(0.121439\pi\)
\(600\) −885735. + 3.88066e6i −0.100444 + 0.440076i
\(601\) −1.81602e6 + 7.95650e6i −0.205085 + 0.898537i 0.762698 + 0.646754i \(0.223874\pi\)
−0.967784 + 0.251783i \(0.918983\pi\)
\(602\) 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 −0.658343 0.752718i \(-0.728742\pi\)
0.178028 + 0.984025i \(0.443028\pi\)
\(608\) −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 −0.688395 0.725336i \(-0.741685\pi\)
0.860332 + 0.509733i \(0.170256\pi\)
\(614\) 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 −0.995056 0.0993121i \(-0.968336\pi\)
0.939605 + 0.342262i \(0.111193\pi\)
\(618\) 121188. 530958.i 0.0127640 0.0559228i
\(619\) 5.66413e6 7.10259e6i 0.594164 0.745058i −0.390292 0.920691i \(-0.627626\pi\)
0.984456 + 0.175633i \(0.0561972\pi\)
\(620\) 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 0.999981 + 0.00615091i \(0.00195791\pi\)
−0.216520 + 0.976278i \(0.569471\pi\)
\(632\) −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 0.999942 0.0107615i \(-0.00342555\pi\)
−0.233000 + 0.972477i \(0.574854\pi\)
\(642\) 6.27784e6 7.87217e6i 0.601136 0.753801i
\(643\) 4.13952e6 1.99349e6i 0.394841 0.190146i −0.225919 0.974146i \(-0.572538\pi\)
0.620760 + 0.784001i \(0.286824\pi\)
\(644\) 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 0.875626 + 0.482989i \(0.160449\pi\)
−0.998473 + 0.0552383i \(0.982408\pi\)
\(648\) −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 −0.0708226 0.997489i \(-0.522562\pi\)
−0.824025 + 0.566553i \(0.808277\pi\)
\(654\) 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 −0.898647 0.438672i \(-0.855449\pi\)
0.999986 0.00532132i \(-0.00169384\pi\)
\(660\) 1.52751e6 + 1.91544e6i 0.136497 + 0.171162i
\(661\) 5.18655e6 + 2.49771e6i 0.461716 + 0.222351i 0.650256 0.759715i \(-0.274661\pi\)
−0.188541 + 0.982065i \(0.560376\pi\)
\(662\) −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 −0.0551100 0.998480i \(-0.517551\pi\)
−0.815004 + 0.579456i \(0.803265\pi\)
\(674\) 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 −0.922076 0.387009i \(-0.873508\pi\)
0.582487 + 0.812840i \(0.302080\pi\)
\(678\) −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 −0.998172 0.0604295i \(-0.980753\pi\)
0.873103 0.487536i \(-0.162104\pi\)
\(684\) 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 −0.624915 + 0.780693i \(0.714867\pi\)
−0.999998 + 0.00182466i \(0.999419\pi\)
\(692\) 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 −0.802085 0.597210i \(-0.796276\pi\)
−0.0331737 + 0.999450i \(0.510561\pi\)
\(702\) 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 −0.951745 0.306889i \(-0.900712\pi\)
0.724339 0.689444i \(-0.242145\pi\)
\(710\) 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 0.978798 0.204830i \(-0.0656642\pi\)
0.450128 + 0.892964i \(0.351378\pi\)
\(720\) 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 −0.326812 0.945089i \(-0.605974\pi\)
0.535137 + 0.844765i \(0.320260\pi\)
\(728\) −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 −0.681345 0.731962i \(-0.738605\pi\)
0.931457 0.363851i \(-0.118538\pi\)
\(734\) −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 0.651936 0.758274i \(-0.273957\pi\)
−0.186368 + 0.982480i \(0.559672\pi\)
\(740\) 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 0.977734 0.209846i \(-0.0672964\pi\)
−0.971957 + 0.235158i \(0.924439\pi\)
\(744\) −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 0.941909 0.335869i \(-0.109030\pi\)
−0.537043 + 0.843555i \(0.680459\pi\)
\(752\) 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 0.877085 0.480336i \(-0.159485\pi\)
−0.663462 + 0.748210i \(0.730914\pi\)
\(758\) −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 0.236319 0.971675i \(-0.424059\pi\)
−0.999900 + 0.0141762i \(0.995487\pi\)
\(762\) 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 + 0.281937i