Properties

Label 38.6.e.b.9.1
Level $38$
Weight $6$
Character 38.9
Analytic conductor $6.095$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.09458515289\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 9.1
Character \(\chi\) \(=\) 38.9
Dual form 38.6.e.b.17.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.694593 + 3.93923i) q^{2} +(-21.8341 + 18.3210i) q^{3} +(-15.0351 + 5.47232i) q^{4} +(33.2104 + 12.0876i) q^{5} +(-87.3364 - 73.2839i) q^{6} +(-42.9494 + 74.3905i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(98.8729 - 560.736i) q^{9} +O(q^{10})\) \(q+(0.694593 + 3.93923i) q^{2} +(-21.8341 + 18.3210i) q^{3} +(-15.0351 + 5.47232i) q^{4} +(33.2104 + 12.0876i) q^{5} +(-87.3364 - 73.2839i) q^{6} +(-42.9494 + 74.3905i) q^{7} +(-32.0000 - 55.4256i) q^{8} +(98.8729 - 560.736i) q^{9} +(-24.5482 + 139.220i) q^{10} +(-299.827 - 519.315i) q^{11} +(228.019 - 394.941i) q^{12} +(417.425 + 350.261i) q^{13} +(-322.874 - 117.516i) q^{14} +(-946.577 + 344.526i) q^{15} +(196.107 - 164.554i) q^{16} +(252.825 + 1433.84i) q^{17} +2277.54 q^{18} +(-1570.74 + 94.1673i) q^{19} -565.469 q^{20} +(-425.146 - 2411.12i) q^{21} +(1837.44 - 1541.80i) q^{22} +(-3449.31 + 1255.45i) q^{23} +(1714.14 + 623.897i) q^{24} +(-1437.07 - 1205.84i) q^{25} +(-1089.82 + 1887.62i) q^{26} +(4651.39 + 8056.45i) q^{27} +(238.658 - 1353.50i) q^{28} +(17.7663 - 100.758i) q^{29} +(-2014.65 - 3489.48i) q^{30} +(440.821 - 763.524i) q^{31} +(784.430 + 658.215i) q^{32} +(16060.8 + 5845.65i) q^{33} +(-5472.63 + 1991.87i) q^{34} +(-2325.57 + 1951.38i) q^{35} +(1581.97 + 8971.77i) q^{36} -8650.33 q^{37} +(-1461.97 - 6122.11i) q^{38} -15531.2 q^{39} +(-392.771 - 2227.51i) q^{40} +(8167.44 - 6853.30i) q^{41} +(9202.67 - 3349.50i) q^{42} +(4719.08 + 1717.61i) q^{43} +(7349.78 + 6167.19i) q^{44} +(10061.6 - 17427.1i) q^{45} +(-7341.35 - 12715.6i) q^{46} +(1410.47 - 7999.19i) q^{47} +(-1267.04 + 7185.76i) q^{48} +(4714.21 + 8165.24i) q^{49} +(3751.91 - 6498.50i) q^{50} +(-31789.6 - 26674.7i) q^{51} +(-8192.76 - 2981.92i) q^{52} +(-24330.5 + 8855.56i) q^{53} +(-28505.4 + 23918.9i) q^{54} +(-3680.10 - 20870.9i) q^{55} +5497.52 q^{56} +(32570.5 - 30833.6i) q^{57} +409.248 q^{58} +(6278.09 + 35604.8i) q^{59} +(12346.5 - 10359.9i) q^{60} +(-36990.5 + 13463.4i) q^{61} +(3313.89 + 1206.16i) q^{62} +(37466.9 + 31438.4i) q^{63} +(-2048.00 + 3547.24i) q^{64} +(9629.04 + 16678.0i) q^{65} +(-11871.7 + 67327.6i) q^{66} +(-2378.27 + 13487.8i) q^{67} +(-11647.7 - 20174.4i) q^{68} +(52311.5 - 90606.2i) q^{69} +(-9302.28 - 7805.54i) q^{70} +(70242.5 + 25566.2i) q^{71} +(-34243.1 + 12463.5i) q^{72} +(-45239.4 + 37960.3i) q^{73} +(-6008.46 - 34075.6i) q^{74} +53469.2 q^{75} +(23100.9 - 10011.4i) q^{76} +51509.4 q^{77} +(-10787.9 - 61181.1i) q^{78} +(4603.46 - 3862.77i) q^{79} +(8501.87 - 3094.43i) q^{80} +(-119144. - 43365.0i) q^{81} +(32669.8 + 27413.2i) q^{82} +(-36582.4 + 63362.6i) q^{83} +(19586.5 + 33924.9i) q^{84} +(-8935.30 + 50674.6i) q^{85} +(-3488.20 + 19782.6i) q^{86} +(1458.07 + 2525.45i) q^{87} +(-19188.9 + 33236.2i) q^{88} +(11723.9 + 9837.52i) q^{89} +(75638.2 + 27530.1i) q^{90} +(-43984.2 + 16008.9i) q^{91} +(44990.4 - 37751.5i) q^{92} +(4363.59 + 24747.1i) q^{93} +32490.4 q^{94} +(-53303.3 - 15859.2i) q^{95} -29186.4 q^{96} +(-18606.8 - 105524. i) q^{97} +(-28890.3 + 24241.9i) q^{98} +(-320843. + 116777. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} + O(q^{10}) \) \( 30q + 15q^{3} + 60q^{6} - 84q^{7} - 960q^{8} - 345q^{9} - 126q^{11} - 2610q^{13} - 864q^{14} - 5160q^{15} + 1902q^{17} + 17016q^{18} - 2400q^{19} + 3456q^{20} - 6426q^{21} + 216q^{22} - 3306q^{23} + 960q^{24} - 18060q^{25} + 456q^{26} + 13017q^{27} + 6048q^{28} + 5988q^{29} - 6840q^{31} + 51867q^{33} - 10752q^{34} + 24408q^{35} - 5520q^{36} - 8556q^{37} + 2772q^{38} + 9912q^{39} - 40527q^{41} + 27432q^{42} + 3678q^{43} + 864q^{44} - 31770q^{45} - 15744q^{46} - 133740q^{47} - 7680q^{48} - 63777q^{49} - 107580q^{50} + 45657q^{51} + 5760q^{52} - 64626q^{53} + 1476q^{54} + 142056q^{55} + 10752q^{56} + 232824q^{57} + 117264q^{58} + 169041q^{59} - 56640q^{60} + 61698q^{61} - 101616q^{62} - 188064q^{63} - 61440q^{64} - 80646q^{65} - 173772q^{66} - 72129q^{67} - 65904q^{68} - 124224q^{69} + 97632q^{70} + 417828q^{71} + 44160q^{72} + 239082q^{73} - 116112q^{74} - 174960q^{75} + 6912q^{76} + 242436q^{77} + 336624q^{78} - 145740q^{79} + 14781q^{81} - 162108q^{82} - 201630q^{83} - 54528q^{84} - 46512q^{85} - 75720q^{86} - 376512q^{87} - 8064q^{88} + 416928q^{89} + 560640q^{90} - 380316q^{91} + 269376q^{92} - 205146q^{93} + 5616q^{94} + 708168q^{95} + 858363q^{97} + 308328q^{98} - 1068531q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.694593 + 3.93923i 0.122788 + 0.696364i
\(3\) −21.8341 + 18.3210i −1.40066 + 1.17529i −0.439852 + 0.898070i \(0.644969\pi\)
−0.960806 + 0.277221i \(0.910587\pi\)
\(4\) −15.0351 + 5.47232i −0.469846 + 0.171010i
\(5\) 33.2104 + 12.0876i 0.594086 + 0.216230i 0.621526 0.783394i \(-0.286513\pi\)
−0.0274394 + 0.999623i \(0.508735\pi\)
\(6\) −87.3364 73.2839i −0.990415 0.831057i
\(7\) −42.9494 + 74.3905i −0.331292 + 0.573815i −0.982766 0.184856i \(-0.940818\pi\)
0.651473 + 0.758672i \(0.274151\pi\)
\(8\) −32.0000 55.4256i −0.176777 0.306186i
\(9\) 98.8729 560.736i 0.406884 2.30755i
\(10\) −24.5482 + 139.220i −0.0776281 + 0.440251i
\(11\) −299.827 519.315i −0.747117 1.29404i −0.949199 0.314676i \(-0.898104\pi\)
0.202083 0.979368i \(-0.435229\pi\)
\(12\) 228.019 394.941i 0.457107 0.791733i
\(13\) 417.425 + 350.261i 0.685046 + 0.574822i 0.917476 0.397791i \(-0.130223\pi\)
−0.232430 + 0.972613i \(0.574668\pi\)
\(14\) −322.874 117.516i −0.440263 0.160243i
\(15\) −946.577 + 344.526i −1.08624 + 0.395361i
\(16\) 196.107 164.554i 0.191511 0.160697i
\(17\) 252.825 + 1433.84i 0.212177 + 1.20331i 0.885739 + 0.464184i \(0.153652\pi\)
−0.673562 + 0.739131i \(0.735237\pi\)
\(18\) 2277.54 1.65686
\(19\) −1570.74 + 94.1673i −0.998208 + 0.0598434i
\(20\) −565.469 −0.316107
\(21\) −425.146 2411.12i −0.210373 1.19308i
\(22\) 1837.44 1541.80i 0.809389 0.679158i
\(23\) −3449.31 + 1255.45i −1.35960 + 0.494855i −0.915932 0.401334i \(-0.868547\pi\)
−0.443672 + 0.896189i \(0.646324\pi\)
\(24\) 1714.14 + 623.897i 0.607462 + 0.221098i
\(25\) −1437.07 1205.84i −0.459861 0.385869i
\(26\) −1089.82 + 1887.62i −0.316170 + 0.547623i
\(27\) 4651.39 + 8056.45i 1.22793 + 2.12684i
\(28\) 238.658 1353.50i 0.0575283 0.326259i
\(29\) 17.7663 100.758i 0.00392285 0.0222476i −0.982783 0.184761i \(-0.940849\pi\)
0.986706 + 0.162513i \(0.0519600\pi\)
\(30\) −2014.65 3489.48i −0.408693 0.707876i
\(31\) 440.821 763.524i 0.0823869 0.142698i −0.821888 0.569649i \(-0.807079\pi\)
0.904275 + 0.426951i \(0.140412\pi\)
\(32\) 784.430 + 658.215i 0.135419 + 0.113630i
\(33\) 16060.8 + 5845.65i 2.56733 + 0.934433i
\(34\) −5472.63 + 1991.87i −0.811893 + 0.295505i
\(35\) −2325.57 + 1951.38i −0.320892 + 0.269261i
\(36\) 1581.97 + 8971.77i 0.203442 + 1.15378i
\(37\) −8650.33 −1.03879 −0.519396 0.854534i \(-0.673843\pi\)
−0.519396 + 0.854534i \(0.673843\pi\)
\(38\) −1461.97 6122.11i −0.164241 0.687768i
\(39\) −15531.2 −1.63510
\(40\) −392.771 2227.51i −0.0388140 0.220125i
\(41\) 8167.44 6853.30i 0.758799 0.636708i −0.179015 0.983846i \(-0.557291\pi\)
0.937814 + 0.347139i \(0.112847\pi\)
\(42\) 9202.67 3349.50i 0.804990 0.292992i
\(43\) 4719.08 + 1717.61i 0.389212 + 0.141662i 0.529211 0.848490i \(-0.322488\pi\)
−0.139999 + 0.990152i \(0.544710\pi\)
\(44\) 7349.78 + 6167.19i 0.572325 + 0.480237i
\(45\) 10061.6 17427.1i 0.740686 1.28291i
\(46\) −7341.35 12715.6i −0.511542 0.886017i
\(47\) 1410.47 7999.19i 0.0931366 0.528204i −0.902166 0.431389i \(-0.858024\pi\)
0.995302 0.0968145i \(-0.0308654\pi\)
\(48\) −1267.04 + 7185.76i −0.0793758 + 0.450163i
\(49\) 4714.21 + 8165.24i 0.280491 + 0.485824i
\(50\) 3751.91 6498.50i 0.212240 0.367611i
\(51\) −31789.6 26674.7i −1.71143 1.43606i
\(52\) −8192.76 2981.92i −0.420167 0.152928i
\(53\) −24330.5 + 8855.56i −1.18976 + 0.433039i −0.859641 0.510899i \(-0.829312\pi\)
−0.330123 + 0.943938i \(0.607090\pi\)
\(54\) −28505.4 + 23918.9i −1.33028 + 1.11624i
\(55\) −3680.10 20870.9i −0.164041 0.930323i
\(56\) 5497.52 0.234259
\(57\) 32570.5 30833.6i 1.32781 1.25701i
\(58\) 409.248 0.0159741
\(59\) 6278.09 + 35604.8i 0.234800 + 1.33161i 0.843035 + 0.537858i \(0.180766\pi\)
−0.608236 + 0.793756i \(0.708122\pi\)
\(60\) 12346.5 10359.9i 0.442757 0.371518i
\(61\) −36990.5 + 13463.4i −1.27281 + 0.463267i −0.888049 0.459748i \(-0.847940\pi\)
−0.384765 + 0.923015i \(0.625718\pi\)
\(62\) 3313.89 + 1206.16i 0.109486 + 0.0398497i
\(63\) 37466.9 + 31438.4i 1.18931 + 0.997952i
\(64\) −2048.00 + 3547.24i −0.0625000 + 0.108253i
\(65\) 9629.04 + 16678.0i 0.282683 + 0.489621i
\(66\) −11871.7 + 67327.6i −0.335468 + 1.90254i
\(67\) −2378.27 + 13487.8i −0.0647253 + 0.367075i 0.935191 + 0.354143i \(0.115228\pi\)
−0.999916 + 0.0129318i \(0.995884\pi\)
\(68\) −11647.7 20174.4i −0.305469 0.529089i
\(69\) 52311.5 90606.2i 1.32274 2.29105i
\(70\) −9302.28 7805.54i −0.226905 0.190396i
\(71\) 70242.5 + 25566.2i 1.65369 + 0.601894i 0.989353 0.145539i \(-0.0464916\pi\)
0.664337 + 0.747433i \(0.268714\pi\)
\(72\) −34243.1 + 12463.5i −0.778469 + 0.283340i
\(73\) −45239.4 + 37960.3i −0.993595 + 0.833725i −0.986084 0.166247i \(-0.946835\pi\)
−0.00751058 + 0.999972i \(0.502391\pi\)
\(74\) −6008.46 34075.6i −0.127551 0.723377i
\(75\) 53469.2 1.09762
\(76\) 23100.9 10011.4i 0.458770 0.198821i
\(77\) 51509.4 0.990056
\(78\) −10787.9 61181.1i −0.200770 1.13862i
\(79\) 4603.46 3862.77i 0.0829883 0.0696355i −0.600350 0.799738i \(-0.704972\pi\)
0.683338 + 0.730102i \(0.260528\pi\)
\(80\) 8501.87 3094.43i 0.148522 0.0540574i
\(81\) −119144. 43365.0i −2.01772 0.734390i
\(82\) 32669.8 + 27413.2i 0.536552 + 0.450220i
\(83\) −36582.4 + 63362.6i −0.582877 + 1.00957i 0.412259 + 0.911067i \(0.364740\pi\)
−0.995136 + 0.0985065i \(0.968593\pi\)
\(84\) 19586.5 + 33924.9i 0.302872 + 0.524590i
\(85\) −8935.30 + 50674.6i −0.134141 + 0.760752i
\(86\) −3488.20 + 19782.6i −0.0508576 + 0.288428i
\(87\) 1458.07 + 2525.45i 0.0206529 + 0.0357718i
\(88\) −19188.9 + 33236.2i −0.264146 + 0.457514i
\(89\) 11723.9 + 9837.52i 0.156891 + 0.131647i 0.717854 0.696194i \(-0.245125\pi\)
−0.560963 + 0.827841i \(0.689569\pi\)
\(90\) 75638.2 + 27530.1i 0.984317 + 0.358262i
\(91\) −43984.2 + 16008.9i −0.556793 + 0.202656i
\(92\) 44990.4 37751.5i 0.554180 0.465012i
\(93\) 4363.59 + 24747.1i 0.0523162 + 0.296700i
\(94\) 32490.4 0.379258
\(95\) −53303.3 15859.2i −0.605961 0.180290i
\(96\) −29186.4 −0.323224
\(97\) −18606.8 105524.i −0.200790 1.13874i −0.903929 0.427683i \(-0.859330\pi\)
0.703139 0.711052i \(-0.251781\pi\)
\(98\) −28890.3 + 24241.9i −0.303870 + 0.254977i
\(99\) −320843. + 116777.i −3.29007 + 1.19749i
\(100\) 28205.2 + 10265.8i 0.282052 + 0.102658i
\(101\) 59492.5 + 49920.1i 0.580308 + 0.486937i 0.885048 0.465499i \(-0.154125\pi\)
−0.304740 + 0.952436i \(0.598570\pi\)
\(102\) 82996.8 143755.i 0.789880 1.36811i
\(103\) −3118.91 5402.12i −0.0289675 0.0501731i 0.851178 0.524877i \(-0.175889\pi\)
−0.880146 + 0.474704i \(0.842555\pi\)
\(104\) 6055.84 34344.4i 0.0549024 0.311367i
\(105\) 15025.4 85213.4i 0.133001 0.754284i
\(106\) −51783.9 89692.3i −0.447641 0.775337i
\(107\) 74093.3 128333.i 0.625633 1.08363i −0.362786 0.931873i \(-0.618174\pi\)
0.988418 0.151755i \(-0.0484924\pi\)
\(108\) −114022. 95675.4i −0.940649 0.789298i
\(109\) −12683.3 4616.34i −0.102251 0.0372162i 0.290388 0.956909i \(-0.406216\pi\)
−0.392639 + 0.919693i \(0.628438\pi\)
\(110\) 79659.0 28993.5i 0.627701 0.228465i
\(111\) 188872. 158483.i 1.45499 1.22088i
\(112\) 3818.54 + 21656.0i 0.0287642 + 0.163130i
\(113\) 113460. 0.835882 0.417941 0.908474i \(-0.362752\pi\)
0.417941 + 0.908474i \(0.362752\pi\)
\(114\) 144084. + 106886.i 1.03837 + 0.770297i
\(115\) −129728. −0.914724
\(116\) 284.261 + 1612.12i 0.00196143 + 0.0111238i
\(117\) 237676. 199434.i 1.60517 1.34690i
\(118\) −135895. + 49461.7i −0.898458 + 0.327012i
\(119\) −117523. 42774.8i −0.760773 0.276899i
\(120\) 49386.0 + 41439.8i 0.313077 + 0.262703i
\(121\) −99266.4 + 171935.i −0.616367 + 1.06758i
\(122\) −78728.8 136362.i −0.478888 0.829459i
\(123\) −52769.6 + 299271.i −0.314500 + 1.78362i
\(124\) −2449.53 + 13892.0i −0.0143063 + 0.0811352i
\(125\) −88371.4 153064.i −0.505868 0.876188i
\(126\) −97819.1 + 169428.i −0.548905 + 0.950731i
\(127\) 209692. + 175953.i 1.15365 + 0.968026i 0.999799 0.0200687i \(-0.00638850\pi\)
0.153849 + 0.988094i \(0.450833\pi\)
\(128\) −15395.9 5603.66i −0.0830579 0.0302306i
\(129\) −134505. + 48955.9i −0.711647 + 0.259018i
\(130\) −59010.2 + 49515.4i −0.306245 + 0.256970i
\(131\) 47083.0 + 267021.i 0.239710 + 1.35946i 0.832464 + 0.554079i \(0.186929\pi\)
−0.592755 + 0.805383i \(0.701960\pi\)
\(132\) −273465. −1.36605
\(133\) 60457.2 120893.i 0.296360 0.592613i
\(134\) −54783.6 −0.263565
\(135\) 57091.6 + 323782.i 0.269611 + 1.52904i
\(136\) 71381.2 59896.0i 0.330931 0.277684i
\(137\) 347741. 126567.i 1.58290 0.576130i 0.607071 0.794648i \(-0.292344\pi\)
0.975833 + 0.218518i \(0.0701222\pi\)
\(138\) 393254. + 143133.i 1.75782 + 0.639796i
\(139\) −210050. 176253.i −0.922115 0.773746i 0.0522701 0.998633i \(-0.483354\pi\)
−0.974385 + 0.224887i \(0.927799\pi\)
\(140\) 24286.5 42065.5i 0.104724 0.181387i
\(141\) 115757. + 200496.i 0.490341 + 0.849296i
\(142\) −51921.2 + 294459.i −0.216084 + 1.22548i
\(143\) 56740.7 321793.i 0.232036 1.31594i
\(144\) −72881.4 126234.i −0.292894 0.507307i
\(145\) 1807.95 3131.46i 0.00714111 0.0123688i
\(146\) −180957. 151841.i −0.702578 0.589533i
\(147\) −252526. 91911.8i −0.963856 0.350815i
\(148\) 130058. 47337.4i 0.488072 0.177644i
\(149\) −239526. + 200986.i −0.883865 + 0.741651i −0.966970 0.254890i \(-0.917961\pi\)
0.0831047 + 0.996541i \(0.473516\pi\)
\(150\) 37139.3 + 210628.i 0.134774 + 0.764341i
\(151\) −444816. −1.58759 −0.793794 0.608187i \(-0.791897\pi\)
−0.793794 + 0.608187i \(0.791897\pi\)
\(152\) 55483.0 + 84046.0i 0.194783 + 0.295059i
\(153\) 829005. 2.86305
\(154\) 35778.1 + 202908.i 0.121567 + 0.689440i
\(155\) 23869.0 20028.5i 0.0798005 0.0669606i
\(156\) 233513. 84991.9i 0.768245 0.279618i
\(157\) −499309. 181734.i −1.61667 0.588418i −0.633923 0.773396i \(-0.718556\pi\)
−0.982743 + 0.184978i \(0.940779\pi\)
\(158\) 18413.9 + 15451.1i 0.0586816 + 0.0492397i
\(159\) 368991. 639111.i 1.15751 2.00486i
\(160\) 18095.0 + 31341.5i 0.0558803 + 0.0967875i
\(161\) 54752.4 310516.i 0.166471 0.944103i
\(162\) 88067.9 499458.i 0.263651 1.49524i
\(163\) 67437.4 + 116805.i 0.198807 + 0.344344i 0.948142 0.317847i \(-0.102960\pi\)
−0.749335 + 0.662191i \(0.769627\pi\)
\(164\) −85294.7 + 147735.i −0.247635 + 0.428917i
\(165\) 462726. + 388273.i 1.32317 + 1.11027i
\(166\) −275010. 100095.i −0.774601 0.281932i
\(167\) −83232.3 + 30294.1i −0.230941 + 0.0840556i −0.454899 0.890543i \(-0.650324\pi\)
0.223958 + 0.974599i \(0.428102\pi\)
\(168\) −120033. + 100720.i −0.328117 + 0.275323i
\(169\) −12913.6 73236.8i −0.0347801 0.197248i
\(170\) −205825. −0.546231
\(171\) −102501. + 890082.i −0.268063 + 2.32777i
\(172\) −80351.1 −0.207095
\(173\) 76931.2 + 436299.i 0.195428 + 1.10833i 0.911808 + 0.410618i \(0.134687\pi\)
−0.716379 + 0.697711i \(0.754202\pi\)
\(174\) −8935.57 + 7497.83i −0.0223743 + 0.0187742i
\(175\) 151424. 55113.9i 0.373766 0.136040i
\(176\) −144253. 52503.9i −0.351030 0.127764i
\(177\) −789391. 662378.i −1.89391 1.58918i
\(178\) −30608.9 + 53016.2i −0.0724099 + 0.125418i
\(179\) 95112.3 + 164739.i 0.221873 + 0.384295i 0.955377 0.295390i \(-0.0954497\pi\)
−0.733504 + 0.679685i \(0.762116\pi\)
\(180\) −55909.5 + 317079.i −0.128619 + 0.729434i
\(181\) −17063.9 + 96774.3i −0.0387153 + 0.219565i −0.998027 0.0627832i \(-0.980002\pi\)
0.959312 + 0.282349i \(0.0911135\pi\)
\(182\) −93614.1 162144.i −0.209490 0.362847i
\(183\) 560990. 971663.i 1.23830 2.14481i
\(184\) 179962. + 151006.i 0.391864 + 0.328813i
\(185\) −287281. 104562.i −0.617132 0.224618i
\(186\) −94453.8 + 34378.4i −0.200187 + 0.0728623i
\(187\) 668812. 561200.i 1.39862 1.17358i
\(188\) 22567.6 + 127987.i 0.0465683 + 0.264102i
\(189\) −799097. −1.62722
\(190\) 25448.9 220990.i 0.0511429 0.444107i
\(191\) 160536. 0.318411 0.159206 0.987245i \(-0.449107\pi\)
0.159206 + 0.987245i \(0.449107\pi\)
\(192\) −20272.7 114972.i −0.0396879 0.225081i
\(193\) −97771.2 + 82039.8i −0.188937 + 0.158537i −0.732350 0.680929i \(-0.761576\pi\)
0.543413 + 0.839466i \(0.317132\pi\)
\(194\) 402760. 146593.i 0.768320 0.279646i
\(195\) −515799. 187735.i −0.971390 0.353557i
\(196\) −115561. 96967.5i −0.214868 0.180296i
\(197\) −208034. + 360325.i −0.381916 + 0.661498i −0.991336 0.131350i \(-0.958069\pi\)
0.609420 + 0.792847i \(0.291402\pi\)
\(198\) −682868. 1.18276e6i −1.23787 2.14405i
\(199\) 93650.6 531119.i 0.167640 0.950734i −0.778661 0.627445i \(-0.784101\pi\)
0.946301 0.323288i \(-0.104788\pi\)
\(200\) −20848.4 + 118237.i −0.0368551 + 0.209016i
\(201\) −195183. 338067.i −0.340762 0.590218i
\(202\) −155324. + 269029.i −0.267830 + 0.463896i
\(203\) 6732.36 + 5649.12i 0.0114664 + 0.00962146i
\(204\) 623932. + 227093.i 1.04969 + 0.382057i
\(205\) 354084. 128876.i 0.588467 0.214184i
\(206\) 19113.8 16038.4i 0.0313819 0.0263325i
\(207\) 362930. + 2.05828e6i 0.588705 + 3.33871i
\(208\) 139497. 0.223566
\(209\) 519853. + 787476.i 0.823218 + 1.24701i
\(210\) 346112. 0.541587
\(211\) −51782.0 293670.i −0.0800705 0.454103i −0.998312 0.0580813i \(-0.981502\pi\)
0.918241 0.396021i \(-0.129609\pi\)
\(212\) 317350. 266288.i 0.484952 0.406923i
\(213\) −2.00208e6 + 728697.i −3.02365 + 1.10052i
\(214\) 556999. + 202731.i 0.831419 + 0.302612i
\(215\) 135961. + 114085.i 0.200594 + 0.168318i
\(216\) 297689. 515613.i 0.434139 0.751950i
\(217\) 37865.9 + 65585.7i 0.0545883 + 0.0945497i
\(218\) 9375.11 53168.9i 0.0133609 0.0757733i
\(219\) 292290. 1.65766e6i 0.411816 2.33553i
\(220\) 169543. + 293656.i 0.236169 + 0.409056i
\(221\) −396684. + 687077.i −0.546341 + 0.946291i
\(222\) 755489. + 633930.i 1.02883 + 0.863294i
\(223\) 490101. + 178382.i 0.659968 + 0.240209i 0.650223 0.759744i \(-0.274676\pi\)
0.00974564 + 0.999953i \(0.496898\pi\)
\(224\) −82655.6 + 30084.2i −0.110066 + 0.0400607i
\(225\) −818246. + 686590.i −1.07753 + 0.904151i
\(226\) 78808.2 + 446944.i 0.102636 + 0.582079i
\(227\) 15711.0 0.0202367 0.0101184 0.999949i \(-0.496779\pi\)
0.0101184 + 0.999949i \(0.496779\pi\)
\(228\) −320969. + 641822.i −0.408908 + 0.817669i
\(229\) 1.14920e6 1.44813 0.724065 0.689732i \(-0.242272\pi\)
0.724065 + 0.689732i \(0.242272\pi\)
\(230\) −90108.4 511030.i −0.112317 0.636981i
\(231\) −1.12466e6 + 943703.i −1.38673 + 1.16360i
\(232\) −6153.08 + 2239.54i −0.00750538 + 0.00273174i
\(233\) 263660. + 95964.3i 0.318166 + 0.115803i 0.496166 0.868227i \(-0.334741\pi\)
−0.178000 + 0.984030i \(0.556963\pi\)
\(234\) 950704. + 797735.i 1.13503 + 0.952399i
\(235\) 143534. 248607.i 0.169545 0.293660i
\(236\) −289232. 500965.i −0.338039 0.585501i
\(237\) −29742.8 + 168680.i −0.0343963 + 0.195071i
\(238\) 86869.4 492661.i 0.0994087 0.563775i
\(239\) −129647. 224555.i −0.146814 0.254289i 0.783234 0.621727i \(-0.213568\pi\)
−0.930048 + 0.367438i \(0.880235\pi\)
\(240\) −128938. + 223327.i −0.144495 + 0.250272i
\(241\) 617600. + 518228.i 0.684960 + 0.574749i 0.917451 0.397849i \(-0.130243\pi\)
−0.232491 + 0.972598i \(0.574688\pi\)
\(242\) −746240. 271609.i −0.819106 0.298130i
\(243\) 1.27165e6 462843.i 1.38150 0.502826i
\(244\) 482478. 404847.i 0.518804 0.435328i
\(245\) 57862.5 + 328155.i 0.0615860 + 0.349272i
\(246\) −1.21555e6 −1.28067
\(247\) −688650. 510862.i −0.718218 0.532797i
\(248\) −56425.1 −0.0582563
\(249\) −362121. 2.05369e6i −0.370131 2.09912i
\(250\) 541571. 454432.i 0.548032 0.459853i
\(251\) 898704. 327102.i 0.900394 0.327716i 0.149983 0.988689i \(-0.452078\pi\)
0.750410 + 0.660972i \(0.229856\pi\)
\(252\) −735359. 267649.i −0.729454 0.265500i
\(253\) 1.68617e6 + 1.41486e6i 1.65615 + 1.38967i
\(254\) −547468. + 948242.i −0.532445 + 0.922221i
\(255\) −733314. 1.27014e6i −0.706219 1.22321i
\(256\) 11380.2 64540.4i 0.0108530 0.0615505i
\(257\) −106133. + 601912.i −0.100235 + 0.568461i 0.892782 + 0.450489i \(0.148750\pi\)
−0.993017 + 0.117972i \(0.962361\pi\)
\(258\) −286275. 495842.i −0.267753 0.463761i
\(259\) 371526. 643502.i 0.344144 0.596074i
\(260\) −236041. 198062.i −0.216548 0.181705i
\(261\) −54741.9 19924.4i −0.0497414 0.0181044i
\(262\) −1.01915e6 + 370942.i −0.917247 + 0.333851i
\(263\) −518414. + 435001.i −0.462154 + 0.387794i −0.843923 0.536464i \(-0.819760\pi\)
0.381769 + 0.924258i \(0.375315\pi\)
\(264\) −189947. 1.07724e6i −0.167734 0.951268i
\(265\) −915068. −0.800458
\(266\) 518217. + 154184.i 0.449064 + 0.133609i
\(267\) −436214. −0.374474
\(268\) −38052.3 215805.i −0.0323626 0.183538i
\(269\) 327680. 274956.i 0.276102 0.231677i −0.494213 0.869341i \(-0.664544\pi\)
0.770314 + 0.637664i \(0.220099\pi\)
\(270\) −1.23580e6 + 449794.i −1.03166 + 0.375495i
\(271\) −338611. 123244.i −0.280077 0.101940i 0.198162 0.980169i \(-0.436503\pi\)
−0.478240 + 0.878229i \(0.658725\pi\)
\(272\) 285525. + 239584.i 0.234003 + 0.196352i
\(273\) 667056. 1.15537e6i 0.541696 0.938245i
\(274\) 740117. + 1.28192e6i 0.595558 + 1.03154i
\(275\) −195341. + 1.10783e6i −0.155762 + 0.883370i
\(276\) −290682. + 1.64854e6i −0.229691 + 1.30265i
\(277\) −902120. 1.56252e6i −0.706423 1.22356i −0.966175 0.257886i \(-0.916974\pi\)
0.259752 0.965675i \(-0.416359\pi\)
\(278\) 548401. 949858.i 0.425585 0.737134i
\(279\) −384550. 322676.i −0.295762 0.248174i
\(280\) 182575. + 66451.8i 0.139170 + 0.0506538i
\(281\) −755867. + 275113.i −0.571057 + 0.207848i −0.611378 0.791339i \(-0.709384\pi\)
0.0403203 + 0.999187i \(0.487162\pi\)
\(282\) −709398. + 595256.i −0.531211 + 0.445739i
\(283\) −155095. 879590.i −0.115115 0.652851i −0.986693 0.162594i \(-0.948014\pi\)
0.871578 0.490257i \(-0.163097\pi\)
\(284\) −1.19601e6 −0.879910
\(285\) 1.45439e6 630298.i 1.06064 0.459657i
\(286\) 1.30703e6 0.944864
\(287\) 159034. + 901925.i 0.113968 + 0.646347i
\(288\) 446643. 374778.i 0.317307 0.266252i
\(289\) −657756. + 239404.i −0.463255 + 0.168611i
\(290\) 13591.3 + 4946.83i 0.00949001 + 0.00345408i
\(291\) 2.33957e6 + 1.96313e6i 1.61958 + 1.35899i
\(292\) 472446. 818301.i 0.324261 0.561637i
\(293\) 731039. + 1.26620e6i 0.497476 + 0.861653i 0.999996 0.00291253i \(-0.000927089\pi\)
−0.502520 + 0.864565i \(0.667594\pi\)
\(294\) 186659. 1.05860e6i 0.125945 0.714271i
\(295\) −221879. + 1.25834e6i −0.148443 + 0.841865i
\(296\) 276811. + 479450.i 0.183634 + 0.318064i
\(297\) 2.78922e6 4.83107e6i 1.83481 3.17799i
\(298\) −958102. 803943.i −0.624987 0.524427i
\(299\) −1.87956e6 684104.i −1.21585 0.442532i
\(300\) −803915. + 292601.i −0.515711 + 0.187704i
\(301\) −330455. + 277285.i −0.210231 + 0.176404i
\(302\) −308966. 1.75223e6i −0.194936 1.10554i
\(303\) −2.21355e6 −1.38511
\(304\) −292539. + 276938.i −0.181551 + 0.171870i
\(305\) −1.39121e6 −0.856334
\(306\) 575821. + 3.26564e6i 0.351547 + 1.99372i
\(307\) 809728. 679442.i 0.490335 0.411440i −0.363811 0.931473i \(-0.618525\pi\)
0.854146 + 0.520033i \(0.174080\pi\)
\(308\) −774448. + 281876.i −0.465174 + 0.169310i
\(309\) 167071. + 60808.8i 0.0995415 + 0.0362301i
\(310\) 95476.2 + 80114.0i 0.0564275 + 0.0473483i
\(311\) 1.14038e6 1.97519e6i 0.668572 1.15800i −0.309731 0.950824i \(-0.600239\pi\)
0.978304 0.207177i \(-0.0664276\pi\)
\(312\) 496999. + 860828.i 0.289047 + 0.500645i
\(313\) 22446.3 127299.i 0.0129504 0.0734456i −0.977648 0.210250i \(-0.932572\pi\)
0.990598 + 0.136805i \(0.0436833\pi\)
\(314\) 369074. 2.09312e6i 0.211247 1.19804i
\(315\) 864276. + 1.49697e6i 0.490768 + 0.850034i
\(316\) −48075.2 + 83268.6i −0.0270834 + 0.0469098i
\(317\) −424551. 356241.i −0.237291 0.199111i 0.516386 0.856356i \(-0.327277\pi\)
−0.753677 + 0.657245i \(0.771722\pi\)
\(318\) 2.77391e6 + 1.00962e6i 1.53824 + 0.559873i
\(319\) −57651.8 + 20983.5i −0.0317202 + 0.0115452i
\(320\) −110893. + 93050.0i −0.0605379 + 0.0507974i
\(321\) 733433. + 4.15950e6i 0.397281 + 2.25309i
\(322\) 1.26123e6 0.677880
\(323\) −532144. 2.22839e6i −0.283807 1.18846i
\(324\) 2.02865e6 1.07361
\(325\) −177508. 1.00670e6i −0.0932200 0.528677i
\(326\) −413280. + 346783.i −0.215378 + 0.180723i
\(327\) 361504. 131577.i 0.186958 0.0680471i
\(328\) −641207. 233380.i −0.329089 0.119779i
\(329\) 534485. + 448486.i 0.272236 + 0.228433i
\(330\) −1.20809e6 + 2.09248e6i −0.610682 + 1.05773i
\(331\) 746300. + 1.29263e6i 0.374407 + 0.648491i 0.990238 0.139387i \(-0.0445131\pi\)
−0.615831 + 0.787878i \(0.711180\pi\)
\(332\) 203279. 1.15285e6i 0.101216 0.574022i
\(333\) −855283. + 4.85055e6i −0.422668 + 2.39707i
\(334\) −177148. 306829.i −0.0868901 0.150498i
\(335\) −242019. + 419189.i −0.117825 + 0.204079i
\(336\) −480133. 402880.i −0.232014 0.194683i
\(337\) −86013.8 31306.5i −0.0412566 0.0150162i 0.321309 0.946974i \(-0.395877\pi\)
−0.362566 + 0.931958i \(0.618099\pi\)
\(338\) 279527. 101739.i 0.133086 0.0484393i
\(339\) −2.47729e6 + 2.07869e6i −1.17079 + 0.982406i
\(340\) −142965. 810794.i −0.0670705 0.380376i
\(341\) −528679. −0.246210
\(342\) −3.57744e6 + 214470.i −1.65389 + 0.0991520i
\(343\) −2.25359e6 −1.03428
\(344\) −55811.3 316521.i −0.0254288 0.144214i
\(345\) 2.83250e6 2.37675e6i 1.28122 1.07507i
\(346\) −1.66524e6 + 606100.i −0.747804 + 0.272178i
\(347\) 499754. + 181895.i 0.222809 + 0.0810958i 0.451012 0.892518i \(-0.351063\pi\)
−0.228204 + 0.973613i \(0.573285\pi\)
\(348\) −35742.3 29991.3i −0.0158210 0.0132754i
\(349\) −1.01888e6 + 1.76476e6i −0.447777 + 0.775572i −0.998241 0.0592869i \(-0.981117\pi\)
0.550464 + 0.834859i \(0.314451\pi\)
\(350\) 322285. + 558213.i 0.140627 + 0.243573i
\(351\) −880253. + 4.99216e6i −0.381364 + 2.16282i
\(352\) 106628. 604716.i 0.0458684 0.260133i
\(353\) 235828. + 408466.i 0.100730 + 0.174469i 0.911986 0.410222i \(-0.134549\pi\)
−0.811256 + 0.584692i \(0.801216\pi\)
\(354\) 2.06095e6 3.56968e6i 0.874098 1.51398i
\(355\) 2.02375e6 + 1.69813e6i 0.852287 + 0.715154i
\(356\) −230104. 83751.0i −0.0962274 0.0350239i
\(357\) 3.34968e6 1.21919e6i 1.39102 0.506290i
\(358\) −582882. + 489096.i −0.240366 + 0.201691i
\(359\) 54546.3 + 309348.i 0.0223372 + 0.126681i 0.993937 0.109948i \(-0.0350685\pi\)
−0.971600 + 0.236629i \(0.923957\pi\)
\(360\) −1.28788e6 −0.523744
\(361\) 2.45836e6 295825.i 0.992838 0.119472i
\(362\) −393069. −0.157651
\(363\) −982616. 5.57269e6i −0.391397 2.21972i
\(364\) 573700. 481392.i 0.226951 0.190434i
\(365\) −1.96127e6 + 713843.i −0.770557 + 0.280460i
\(366\) 4.21727e6 + 1.53496e6i 1.64561 + 0.598955i
\(367\) −1.31313e6 1.10185e6i −0.508911 0.427027i 0.351834 0.936062i \(-0.385558\pi\)
−0.860746 + 0.509035i \(0.830002\pi\)
\(368\) −469847. + 813798.i −0.180858 + 0.313254i
\(369\) −3.03535e6 5.25738e6i −1.16049 2.01004i
\(370\) 212350. 1.20429e6i 0.0806394 0.457329i
\(371\) 386208. 2.19029e6i 0.145676 0.826167i
\(372\) −201031. 348196.i −0.0753193 0.130457i
\(373\) −1.28801e6 + 2.23090e6i −0.479344 + 0.830247i −0.999719 0.0236900i \(-0.992459\pi\)
0.520376 + 0.853937i \(0.325792\pi\)
\(374\) 2.67525e6 + 2.24480e6i 0.988975 + 0.829848i
\(375\) 4.73379e6 + 1.72296e6i 1.73832 + 0.632698i
\(376\) −488495. + 177798.i −0.178193 + 0.0648570i
\(377\) 42707.6 35835.9i 0.0154758 0.0129857i
\(378\) −555047. 3.14783e6i −0.199802 1.13313i
\(379\) 2.53694e6 0.907218 0.453609 0.891201i \(-0.350136\pi\)
0.453609 + 0.891201i \(0.350136\pi\)
\(380\) 888206. 53248.7i 0.315540 0.0189169i
\(381\) −7.80207e6 −2.75358
\(382\) 111507. + 632388.i 0.0390970 + 0.221730i
\(383\) −271462. + 227783.i −0.0945609 + 0.0793460i −0.688843 0.724911i \(-0.741881\pi\)
0.594282 + 0.804257i \(0.297436\pi\)
\(384\) 438821. 159718.i 0.151865 0.0552745i
\(385\) 1.71065e6 + 622626.i 0.588179 + 0.214080i
\(386\) −391085. 328159.i −0.133599 0.112103i
\(387\) 1.42971e6 2.47633e6i 0.485256 0.840488i
\(388\) 857217. + 1.48474e6i 0.289076 + 0.500694i
\(389\) 399414. 2.26519e6i 0.133829 0.758980i −0.841840 0.539728i \(-0.818527\pi\)
0.975668 0.219252i \(-0.0703617\pi\)
\(390\) 381263. 2.16225e6i 0.126930 0.719854i
\(391\) −2.67218e6 4.62836e6i −0.883943 1.53103i
\(392\) 301709. 522576.i 0.0991684 0.171765i
\(393\) −5.92010e6 4.96755e6i −1.93352 1.62241i
\(394\) −1.56390e6 569213.i −0.507538 0.184729i
\(395\) 199575. 72639.2i 0.0643595 0.0234249i
\(396\) 4.18486e6 3.51151e6i 1.34104 1.12527i
\(397\) 215206. + 1.22050e6i 0.0685297 + 0.388651i 0.999710 + 0.0240916i \(0.00766934\pi\)
−0.931180 + 0.364560i \(0.881220\pi\)
\(398\) 2.15725e6 0.682641
\(399\) 894844. + 3.74722e6i 0.281394 + 1.17836i
\(400\) −480245. −0.150077
\(401\) −412287. 2.33819e6i −0.128038 0.726139i −0.979457 0.201653i \(-0.935369\pi\)
0.851419 0.524486i \(-0.175742\pi\)
\(402\) 1.19615e6 1.00369e6i 0.369165 0.309766i
\(403\) 451443. 164312.i 0.138465 0.0503971i
\(404\) −1.16765e6 424991.i −0.355927 0.129547i
\(405\) −3.43266e6 2.88034e6i −1.03990 0.872582i
\(406\) −17577.0 + 30444.2i −0.00529211 + 0.00916620i
\(407\) 2.59360e6 + 4.49224e6i 0.776098 + 1.34424i
\(408\) −461192. + 2.61555e6i −0.137161 + 0.777880i
\(409\) −386681. + 2.19298e6i −0.114300 + 0.648225i 0.872795 + 0.488087i \(0.162305\pi\)
−0.987095 + 0.160138i \(0.948806\pi\)
\(410\) 753617. + 1.30530e6i 0.221407 + 0.383488i
\(411\) −5.27377e6 + 9.13444e6i −1.53999 + 2.66733i
\(412\) 76455.2 + 64153.6i 0.0221904 + 0.0186199i
\(413\) −2.91830e6 1.06217e6i −0.841888 0.306422i
\(414\) −7.85595e6 + 2.85933e6i −2.25267 + 0.819906i
\(415\) −1.98082e6 + 1.66211e6i −0.564579 + 0.473738i
\(416\) 96893.5 + 549510.i 0.0274512 + 0.155683i
\(417\) 7.81536e6 2.20094
\(418\) −2.74096e6 + 2.59480e6i −0.767295 + 0.726377i
\(419\) 3.64392e6 1.01399 0.506995 0.861949i \(-0.330756\pi\)
0.506995 + 0.861949i \(0.330756\pi\)
\(420\) 240407. + 1.36341e6i 0.0665003 + 0.377142i
\(421\) −2.28617e6 + 1.91833e6i −0.628643 + 0.527494i −0.900507 0.434842i \(-0.856804\pi\)
0.271864 + 0.962336i \(0.412360\pi\)
\(422\) 1.12087e6 407963.i 0.306389 0.111517i
\(423\) −4.34598e6 1.58181e6i −1.18096 0.429836i
\(424\) 1.26940e6 + 1.06515e6i 0.342913 + 0.287738i
\(425\) 1.36566e6 2.36539e6i 0.366750 0.635230i
\(426\) −4.26114e6 7.38050e6i −1.13763 1.97043i
\(427\) 587166. 3.32998e6i 0.155844 0.883837i
\(428\) −411717. + 2.33496e6i −0.108640 + 0.616128i
\(429\) 4.65667e6 + 8.06560e6i 1.22161 + 2.11589i
\(430\) −354969. + 614824.i −0.0925804 + 0.160354i
\(431\) 3.26496e6 + 2.73962e6i 0.846612 + 0.710392i 0.959041 0.283268i \(-0.0914186\pi\)
−0.112429 + 0.993660i \(0.535863\pi\)
\(432\) 2.23789e6 + 814525.i 0.576938 + 0.209988i
\(433\) −191532. + 69711.9i −0.0490932 + 0.0178685i −0.366450 0.930438i \(-0.619427\pi\)
0.317357 + 0.948306i \(0.397205\pi\)
\(434\) −232056. + 194718.i −0.0591383 + 0.0496229i
\(435\) 17896.5 + 101496.i 0.00453465 + 0.0257173i
\(436\) 215956. 0.0544064
\(437\) 5.29975e6 2.29679e6i 1.32755 0.575332i
\(438\) 6.73292e6 1.67694
\(439\) 139488. + 791077.i 0.0345443 + 0.195910i 0.997196 0.0748318i \(-0.0238420\pi\)
−0.962652 + 0.270742i \(0.912731\pi\)
\(440\) −1.03902e6 + 871839.i −0.255853 + 0.214686i
\(441\) 5.04465e6 1.83610e6i 1.23519 0.449573i
\(442\) −2.98209e6 1.08539e6i −0.726047 0.264259i
\(443\) −1.73336e6 1.45446e6i −0.419643 0.352122i 0.408384 0.912810i \(-0.366092\pi\)
−0.828027 + 0.560688i \(0.810537\pi\)
\(444\) −1.97244e6 + 3.41637e6i −0.474839 + 0.822445i
\(445\) 270444. + 468422.i 0.0647406 + 0.112134i
\(446\) −362268. + 2.05452e6i −0.0862368 + 0.489073i
\(447\) 1.54757e6 8.77669e6i 0.366337 2.07760i
\(448\) −175921. 304703.i −0.0414116 0.0717269i
\(449\) 388968. 673712.i 0.0910537 0.157710i −0.816901 0.576778i \(-0.804310\pi\)
0.907955 + 0.419068i \(0.137643\pi\)
\(450\) −3.27298e6 2.74636e6i −0.761925 0.639331i
\(451\) −6.00784e6 2.18667e6i −1.39084 0.506224i
\(452\) −1.70587e6 + 620888.i −0.392736 + 0.142944i
\(453\) 9.71214e6 8.14946e6i 2.22367 1.86588i
\(454\) 10912.8 + 61889.4i 0.00248482 + 0.0140921i
\(455\) −1.65424e6 −0.374603
\(456\) −2.75123e6 818565.i −0.619604 0.184349i
\(457\) 6.92747e6 1.55162 0.775808 0.630969i \(-0.217343\pi\)
0.775808 + 0.630969i \(0.217343\pi\)
\(458\) 798227. + 4.52697e6i 0.177813 + 1.00843i
\(459\) −1.03757e7 + 8.70624e6i −2.29872 + 1.92885i
\(460\) 1.95048e6 709915.i 0.429780 0.156427i
\(461\) 3.67015e6 + 1.33583e6i 0.804325 + 0.292750i 0.711278 0.702911i \(-0.248117\pi\)
0.0930476 + 0.995662i \(0.470339\pi\)
\(462\) −4.49865e6 3.77481e6i −0.980566 0.822793i
\(463\) −3.26866e6 + 5.66148e6i −0.708626 + 1.22738i 0.256741 + 0.966480i \(0.417351\pi\)
−0.965367 + 0.260896i \(0.915982\pi\)
\(464\) −13095.9 22682.8i −0.00282385 0.00489106i
\(465\) −154217. + 874608.i −0.0330750 + 0.187578i
\(466\) −194889. + 1.10527e6i −0.0415741 + 0.235779i
\(467\) −1.37349e6 2.37895e6i −0.291429 0.504769i 0.682719 0.730681i \(-0.260797\pi\)
−0.974148 + 0.225912i \(0.927464\pi\)
\(468\) −2.48211e6 + 4.29914e6i −0.523850 + 0.907334i
\(469\) −901221. 756214.i −0.189190 0.158750i
\(470\) 1.07902e6 + 392731.i 0.225312 + 0.0820069i
\(471\) 1.42315e7 5.17984e6i 2.95596 1.07588i
\(472\) 1.77252e6 1.48732e6i 0.366215 0.307291i
\(473\) −522928. 2.96567e6i −0.107470 0.609495i
\(474\) −685129. −0.140064
\(475\) 2.37081e6 + 1.75874e6i 0.482129 + 0.357658i
\(476\) 2.00104e6 0.404799
\(477\) 2.56001e6 + 1.45185e7i 0.515164 + 2.92164i
\(478\) 794521. 666682.i 0.159051 0.133459i
\(479\) 6.78968e6 2.47124e6i 1.35210 0.492126i 0.438501 0.898731i \(-0.355510\pi\)
0.913604 + 0.406605i \(0.133287\pi\)
\(480\) −969295. 352794.i −0.192023 0.0698906i
\(481\) −3.61086e6 3.02987e6i −0.711620 0.597120i
\(482\) −1.61244e6 + 2.79283e6i −0.316130 + 0.547554i
\(483\) 4.49349e6 + 7.78296e6i 0.876428 + 1.51802i
\(484\) 551598. 3.12827e6i 0.107031 0.607003i
\(485\) 657597. 3.72942e6i 0.126942 0.719924i
\(486\) 2.70652e6 + 4.68784e6i 0.519782 + 0.900289i
\(487\) 225859. 391200.i 0.0431535 0.0747440i −0.843642 0.536906i \(-0.819593\pi\)
0.886795 + 0.462162i \(0.152926\pi\)
\(488\) 1.92991e6 + 1.61939e6i 0.366850 + 0.307824i
\(489\) −3.61242e6 1.31481e6i −0.683165 0.248652i
\(490\) −1.25249e6 + 455868.i −0.235658 + 0.0857726i
\(491\) −6.39741e6 + 5.36806e6i −1.19757 + 1.00488i −0.197872 + 0.980228i \(0.563403\pi\)
−0.999696 + 0.0246513i \(0.992152\pi\)
\(492\) −844313. 4.78834e6i −0.157250 0.891810i
\(493\) 148963. 0.0276032
\(494\) 1.53407e6 3.06759e6i 0.282832 0.565562i
\(495\) −1.20669e7 −2.21352
\(496\) −39192.5 222271.i −0.00715316 0.0405676i
\(497\) −4.91875e6 + 4.12732e6i −0.893231 + 0.749510i
\(498\) 7.83844e6 2.85296e6i 1.41630 0.515492i
\(499\) −8.01413e6 2.91691e6i −1.44080 0.524410i −0.500798 0.865564i \(-0.666960\pi\)
−0.940007 + 0.341154i \(0.889182\pi\)
\(500\) 2.16629e6 + 1.81773e6i 0.387517 + 0.325165i
\(501\) 1.26229e6 2.18634e6i 0.224679 0.389156i
\(502\) 1.91276e6 + 3.31300e6i 0.338767 + 0.586762i
\(503\) −132176. + 749607.i −0.0232934 + 0.132103i −0.994237 0.107205i \(-0.965810\pi\)
0.970944 + 0.239309i \(0.0769208\pi\)
\(504\) 543555. 3.08266e6i 0.0953163 0.540566i
\(505\) 1.37236e6 + 2.37699e6i 0.239463 + 0.414762i
\(506\) −4.40227e6 + 7.62495e6i −0.764364 + 1.32392i
\(507\) 1.62373e6 + 1.36247e6i 0.280539 + 0.235400i
\(508\) −4.11561e6 1.49796e6i −0.707579 0.257538i
\(509\) −5.57731e6 + 2.02997e6i −0.954179 + 0.347293i −0.771750 0.635926i \(-0.780618\pi\)
−0.182429 + 0.983219i \(0.558396\pi\)
\(510\) 4.49401e6 3.77092e6i 0.765083 0.641981i
\(511\) −880885. 4.99575e6i −0.149234 0.846347i
\(512\) 262144. 0.0441942
\(513\) −8.06479e6 1.22166e7i −1.35301 2.04954i
\(514\) −2.44479e6 −0.408163
\(515\) −38281.8 217107.i −0.00636025 0.0360708i
\(516\) 1.75439e6 1.47211e6i 0.290070 0.243398i
\(517\) −4.57700e6 + 1.66589e6i −0.753103 + 0.274107i
\(518\) 2.79296e6 + 1.01656e6i 0.457342 + 0.166459i
\(519\) −9.67314e6 8.11673e6i −1.57634 1.32270i
\(520\) 616259. 1.06739e6i 0.0999436 0.173107i
\(521\) −4.51381e6 7.81814e6i −0.728532 1.26185i −0.957504 0.288421i \(-0.906870\pi\)
0.228972 0.973433i \(-0.426464\pi\)
\(522\) 40463.6 229480.i 0.00649962 0.0368612i
\(523\) −21069.1 + 119489.i −0.00336816 + 0.0191018i −0.986446 0.164089i \(-0.947532\pi\)
0.983077 + 0.183191i \(0.0586426\pi\)
\(524\) −2.16912e6 3.75703e6i −0.345108 0.597745i
\(525\) −2.29647e6 + 3.97760e6i −0.363632 + 0.629830i
\(526\) −2.07365e6 1.74000e6i −0.326792 0.274211i
\(527\) 1.20622e6 + 439030.i 0.189192 + 0.0688601i
\(528\) 4.11156e6 1.49649e6i 0.641833 0.233608i
\(529\) 5.39106e6 4.52363e6i 0.837596 0.702827i
\(530\) −635599. 3.60466e6i −0.0982865 0.557410i
\(531\) 2.05856e7 3.16831
\(532\) −247416. + 2.14847e6i −0.0379008 + 0.329117i
\(533\) 5.80974e6 0.885806
\(534\) −302991. 1.71835e6i −0.0459808 0.260770i
\(535\) 4.01191e6 3.36639e6i 0.605992 0.508488i
\(536\) 823676. 299794.i 0.123835 0.0450724i
\(537\) −5.09488e6 1.85438e6i −0.762427 0.277501i
\(538\) 1.31072e6 + 1.09982e6i 0.195233 + 0.163820i
\(539\) 2.82689e6 4.89631e6i 0.419118 0.725934i
\(540\) −2.63022e6 4.55567e6i −0.388157 0.672307i
\(541\) 804583. 4.56302e6i 0.118189 0.670284i −0.866932 0.498426i \(-0.833912\pi\)
0.985122 0.171859i \(-0.0549772\pi\)
\(542\) 250291. 1.41947e6i 0.0365972 0.207553i
\(543\) −1.40043e6 2.42561e6i −0.203826 0.353038i
\(544\) −745453. + 1.29116e6i −0.108000 + 0.187061i
\(545\) −365417. 306621.i −0.0526984 0.0442192i
\(546\) 5.01462e6 + 1.82517e6i 0.719874 + 0.262013i
\(547\) −8.39540e6 + 3.05568e6i −1.19970 + 0.436655i −0.863120 0.504999i \(-0.831493\pi\)
−0.336581 + 0.941655i \(0.609271\pi\)
\(548\) −4.53570e6 + 3.80590e6i −0.645197 + 0.541385i
\(549\) 3.89207e6 + 2.20730e7i 0.551125 + 3.12559i
\(550\) −4.49969e6 −0.634273
\(551\) −18418.2 + 159937.i −0.00258445 + 0.0224425i
\(552\) −6.69588e6 −0.935319
\(553\) 89637.1 + 508357.i 0.0124645 + 0.0706897i
\(554\) 5.52851e6 4.63897e6i 0.765304 0.642166i
\(555\) 8.18820e6 2.98026e6i 1.12838 0.410697i
\(556\) 4.12262e6 + 1.50051e6i 0.565571 + 0.205851i
\(557\) −5.69336e6 4.77730e6i −0.777554 0.652446i 0.165077 0.986281i \(-0.447213\pi\)
−0.942631 + 0.333835i \(0.891657\pi\)
\(558\) 1.00399e6 1.73896e6i 0.136503 0.236431i
\(559\) 1.36825e6 + 2.36988e6i 0.185198 + 0.320773i
\(560\) −134954. + 765362.i −0.0181851 + 0.103133i
\(561\) −4.32117e6 + 2.45066e7i −0.579688 + 3.28758i
\(562\) −1.60875e6 2.78644e6i −0.214857 0.372143i
\(563\) −4.58247e6 + 7.93707e6i −0.609297 + 1.05533i 0.382060 + 0.924138i \(0.375215\pi\)
−0.991357 + 0.131195i \(0.958119\pi\)
\(564\) −2.83759e6 2.38102e6i −0.375623 0.315185i
\(565\) 3.76804e6 + 1.37146e6i 0.496586 + 0.180743i
\(566\) 3.35718e6 1.22191e6i 0.440488 0.160324i
\(567\) 8.34311e6 7.00070e6i 1.08986 0.914501i
\(568\) −830738. 4.71135e6i −0.108042 0.612738i
\(569\) 660962. 0.0855846 0.0427923 0.999084i \(-0.486375\pi\)
0.0427923 + 0.999084i \(0.486375\pi\)
\(570\) 3.49309e6 + 5.29136e6i 0.450322 + 0.682150i
\(571\) −1.00348e7 −1.28800 −0.644002 0.765024i \(-0.722727\pi\)
−0.644002 + 0.765024i \(0.722727\pi\)
\(572\) 907851. + 5.14868e6i 0.116018 + 0.657970i
\(573\) −3.50516e6 + 2.94117e6i −0.445985 + 0.374226i
\(574\) −3.44243e6 + 1.25294e6i −0.436099 + 0.158727i
\(575\) 6.47075e6 + 2.35516e6i 0.816179 + 0.297065i
\(576\) 1.78657e6 + 1.49911e6i 0.224370 + 0.188269i
\(577\) −4.45837e6 + 7.72213e6i −0.557490 + 0.965600i 0.440216 + 0.897892i \(0.354902\pi\)
−0.997705 + 0.0677081i \(0.978431\pi\)
\(578\) −1.39994e6 2.42476e6i −0.174297 0.301891i
\(579\) 631696. 3.58253e6i 0.0783090 0.444113i
\(580\) −10046.3 + 56975.4i −0.00124004 + 0.00703262i
\(581\) −3.14238e6 5.44277e6i −0.386206 0.668928i
\(582\) −6.10818e6 + 1.05797e7i −0.747488 + 1.29469i
\(583\) 1.18937e7 + 9.98004e6i 1.44926 + 1.21608i
\(584\) 3.55163e6 + 1.29269e6i 0.430919 + 0.156842i
\(585\) 1.03040e7 3.75035e6i 1.24485 0.453087i
\(586\) −4.48007e6 + 3.75922e6i −0.538940 + 0.452225i
\(587\) −2.52278e6 1.43074e7i −0.302192 1.71382i −0.636435 0.771330i \(-0.719592\pi\)
0.334243 0.942487i \(-0.391520\pi\)
\(588\) 4.29972e6 0.512857
\(589\) −620517. + 1.24081e6i −0.0736997 + 0.147373i
\(590\) −5.11100e6 −0.604471
\(591\) −2.05928e6 1.16787e7i −0.242519 1.37539i
\(592\) −1.69639e6 + 1.42344e6i −0.198940 + 0.166931i
\(593\) −6.01170e6 + 2.18808e6i −0.702038 + 0.255521i −0.668281 0.743909i \(-0.732970\pi\)
−0.0337575 + 0.999430i \(0.510747\pi\)
\(594\) 2.09681e7 + 7.63176e6i 2.43833 + 0.887480i
\(595\) −3.38594e6 2.84114e6i −0.392091 0.329004i
\(596\) 2.50143e6 4.33260e6i 0.288451 0.499612i
\(597\) 7.68584e6 + 1.33123e7i 0.882583 + 1.52868i
\(598\) 1.38932e6 7.87920e6i 0.158872 0.901009i
\(599\) −1.97109e6 + 1.11786e7i −0.224460 + 1.27298i 0.639255 + 0.768995i \(0.279243\pi\)
−0.863715 + 0.503980i \(0.831868\pi\)
\(600\) −1.71102e6 2.96357e6i −0.194033 0.336075i
\(601\) 413398. 716027.i 0.0466856 0.0808618i −0.841738 0.539886i \(-0.818467\pi\)
0.888424 + 0.459024i \(0.151801\pi\)
\(602\) −1.32182e6 1.10914e6i −0.148656 0.124737i
\(603\) 7.32796e6 + 2.66716e6i 0.820710 + 0.298714i
\(604\) 6.68784e6 2.43417e6i 0.745922 0.271493i
\(605\) −5.37496e6 + 4.51013e6i −0.597017 + 0.500957i
\(606\) −1.53752e6 8.71969e6i −0.170074 0.964538i
\(607\) 8.36168e6 0.921132 0.460566 0.887626i \(-0.347647\pi\)
0.460566 + 0.887626i \(0.347647\pi\)
\(608\) −1.29412e6 960018.i −0.141976 0.105322i
\(609\) −250493. −0.0273685
\(610\) −966324. 5.48030e6i −0.105147 0.596320i
\(611\) 3.39057e6 2.84503e6i 0.367426 0.308307i
\(612\) −1.24642e7 + 4.53658e6i −1.34519 + 0.489610i
\(613\) 470167. + 171127.i 0.0505360 + 0.0183936i 0.367164 0.930156i \(-0.380329\pi\)
−0.316628 + 0.948550i \(0.602551\pi\)
\(614\) 3.23891e6 + 2.71777e6i 0.346719 + 0.290932i
\(615\) −5.36997e6 + 9.30107e6i −0.572512 + 0.991619i
\(616\) −1.64830e6 2.85494e6i −0.175019 0.303142i
\(617\) 207106. 1.17455e6i 0.0219017 0.124211i −0.971897 0.235408i \(-0.924357\pi\)
0.993798 + 0.111197i \(0.0354685\pi\)
\(618\) −123494. + 700368.i −0.0130069 + 0.0737658i
\(619\) 6.64643e6 + 1.15120e7i 0.697207 + 1.20760i 0.969431 + 0.245364i \(0.0789076\pi\)
−0.272224 + 0.962234i \(0.587759\pi\)
\(620\) −249271. + 431749.i −0.0260430 + 0.0451079i
\(621\) −2.61585e7 2.19496e7i −2.72197 2.28401i
\(622\) 8.57285e6 + 3.12026e6i 0.888483 + 0.323381i
\(623\) −1.23535e6 + 449631.i −0.127518 + 0.0464126i
\(624\) −3.04579e6 + 2.55572e6i −0.313140 + 0.262755i
\(625\) −66688.9 378212.i −0.00682895 0.0387289i
\(626\) 517053. 0.0527350
\(627\) −2.57778e7 7.66961e6i −2.61865 0.779120i
\(628\) 8.50165e6 0.860210
\(629\) −2.18702e6 1.24032e7i −0.220408 1.24999i
\(630\) −5.29659e6 + 4.44436e6i −0.531673 + 0.446127i
\(631\) 1.21459e7 4.42074e6i 1.21438 0.442000i 0.346162 0.938175i \(-0.387485\pi\)
0.868222 + 0.496175i \(0.165263\pi\)
\(632\) −361407. 131541.i −0.0359918 0.0131000i
\(633\) 6.51094e6 + 5.46333e6i 0.645854 + 0.541936i
\(634\) 1.10842e6 1.91985e6i 0.109517 0.189690i
\(635\) 4.83713e6 + 8.37815e6i 0.476051 + 0.824544i
\(636\) −2.05039e6 + 1.16283e7i −0.200999 + 1.13992i
\(637\) −892140. + 5.05958e6i −0.0871133 + 0.494044i
\(638\) −122704. 212529.i −0.0119345 0.0206712i
\(639\) 2.12809e7 3.68597e7i 2.06176 3.57108i
\(640\) −443570. 372200.i −0.0428068 0.0359192i
\(641\) −1.27894e7 4.65497e6i −1.22944 0.447478i −0.356032 0.934474i \(-0.615871\pi\)
−0.873404 + 0.486996i \(0.838093\pi\)
\(642\) −1.58758e7 + 5.77832e6i −1.52019 + 0.553304i
\(643\) −4.37967e6 + 3.67498e6i −0.417747 + 0.350532i −0.827305 0.561752i \(-0.810127\pi\)
0.409558 + 0.912284i \(0.365683\pi\)
\(644\) 876038. + 4.96826e6i 0.0832354 + 0.472052i
\(645\) −5.05873e6 −0.478787
\(646\) 8.40852e6 3.64406e6i 0.792754 0.343562i
\(647\) −5.37466e6 −0.504766 −0.252383 0.967627i \(-0.581214\pi\)
−0.252383 + 0.967627i \(0.581214\pi\)
\(648\) 1.40909e6 + 7.99133e6i 0.131826 + 0.747621i
\(649\) 1.66078e7 1.39356e7i 1.54775 1.29871i
\(650\) 3.84232e6 1.39849e6i 0.356705 0.129830i
\(651\) −2.02836e6 738264.i −0.187583 0.0682746i
\(652\) −1.65312e6 1.38713e6i −0.152295 0.127791i
\(653\) −6.43711e6 + 1.11494e7i −0.590756 + 1.02322i 0.403375 + 0.915035i \(0.367837\pi\)
−0.994131 + 0.108184i \(0.965496\pi\)
\(654\) 769409. + 1.33266e6i 0.0703417 + 0.121835i
\(655\) −1.66400e6 + 9.43700e6i −0.151548 + 0.859470i
\(656\) 473961. 2.68797e6i 0.0430014 0.243873i
\(657\) 1.68128e7 + 2.91206e7i 1.51959 + 2.63200i
\(658\) −1.39544e6 + 2.41697e6i −0.125645 + 0.217624i
\(659\) 4.07719e6 + 3.42117e6i 0.365719 + 0.306874i 0.807065 0.590462i \(-0.201055\pi\)
−0.441346 + 0.897337i \(0.645499\pi\)
\(660\) −9.08188e6 3.30554e6i −0.811551 0.295381i
\(661\) −8.40410e6 + 3.05884e6i −0.748148 + 0.272304i −0.687826 0.725875i \(-0.741435\pi\)
−0.0603218 + 0.998179i \(0.519213\pi\)
\(662\) −4.57359e6 + 3.83770e6i −0.405614 + 0.340350i
\(663\) −3.92668e6 2.22693e7i −0.346930 1.96754i
\(664\) 4.68255e6 0.412157
\(665\) 3.46911e6 3.28411e6i 0.304204 0.287981i
\(666\) −1.97015e7 −1.72113
\(667\) 65214.4 + 369849.i 0.00567582 + 0.0321892i
\(668\) 1.08563e6 910948.i 0.0941324 0.0789865i
\(669\) −1.39690e7 + 5.08431e6i −1.20671 + 0.439205i
\(670\) −1.81939e6 662203.i −0.156581 0.0569907i
\(671\) 1.80825e7 + 1.51730e7i 1.55043 + 1.30096i
\(672\) 1.25354e6 2.17119e6i 0.107082 0.185471i
\(673\) 255809. + 443074.i 0.0217710 + 0.0377085i 0.876706 0.481027i \(-0.159736\pi\)
−0.854935 + 0.518736i \(0.826403\pi\)
\(674\) 63578.8 360573.i 0.00539092 0.0305734i
\(675\) 3.03044e6 1.71865e7i 0.256004 1.45187i
\(676\) 594932. + 1.03045e6i 0.0500727 + 0.0867284i
\(677\) 9.59286e6 1.66153e7i 0.804408 1.39328i −0.112281 0.993676i \(-0.535816\pi\)
0.916690 0.399600i \(-0.130851\pi\)
\(678\) −9.90915e6 8.31477e6i −0.827870 0.694666i
\(679\) 8.64914e6 + 3.14803e6i 0.719944 + 0.262038i
\(680\) 3.09460e6 1.12634e6i 0.256645 0.0934110i
\(681\) −343036. + 287842.i −0.0283447 + 0.0237841i
\(682\) −367217. 2.08259e6i −0.0302316 0.171452i
\(683\) 1.69775e7 1.39259 0.696294 0.717757i \(-0.254831\pi\)
0.696294 + 0.717757i \(0.254831\pi\)
\(684\) −3.32971e6 1.39434e7i −0.272123 1.13954i
\(685\) 1.30785e7 1.06496
\(686\) −1.56533e6 8.87740e6i −0.126997 0.720237i
\(687\) −2.50918e7 + 2.10545e7i −2.02833 + 1.70197i
\(688\) 1.20808e6 439707.i 0.0973030 0.0354154i
\(689\) −1.32579e7 4.82548e6i −1.06396 0.387251i
\(690\) 1.13300e7 + 9.50700e6i 0.905957 + 0.760188i
\(691\) 1.13887e7 1.97257e7i 0.907355 1.57158i 0.0896303 0.995975i \(-0.471431\pi\)
0.817725 0.575610i \(-0.195235\pi\)
\(692\) −3.54423e6 6.13879e6i −0.281357 0.487324i
\(693\) 5.09288e6 2.88832e7i 0.402838 2.28461i
\(694\) −369403. + 2.09499e6i −0.0291140 + 0.165114i
\(695\) −4.84537e6 8.39242e6i −0.380509 0.659061i
\(696\) 93316.4 161629.i 0.00730189 0.0126472i
\(697\) 1.18915e7 + 9.97815e6i 0.927159 + 0.777979i
\(698\) −7.65951e6 2.78783e6i −0.595062 0.216585i
\(699\) −7.51493e6 + 2.73521e6i −0.581744 + 0.211738i
\(700\) −1.97507e6 + 1.65728e6i −0.152349 + 0.127836i
\(701\) −2.34987e6 1.33268e7i −0.180613 1.02431i −0.931463 0.363835i \(-0.881467\pi\)
0.750850 0.660472i \(-0.229644\pi\)
\(702\) −2.02767e7 −1.55294
\(703\) 1.35874e7 814578.i 1.03693 0.0621648i
\(704\) 2.45618e6 0.186779
\(705\) 1.42081e6 + 8.05779e6i 0.107662 + 0.610581i
\(706\) −1.44524e6 + 1.21270e6i −0.109126 + 0.0915674i
\(707\) −6.26875e6 + 2.28164e6i −0.471663 + 0.171671i
\(708\) 1.54933e7 + 5.63910e6i 1.16161 + 0.422792i
\(709\) −4.64256e6 3.89557e6i −0.346850 0.291042i 0.452674 0.891676i \(-0.350470\pi\)
−0.799524 + 0.600634i \(0.794915\pi\)
\(710\) −5.28364e6 + 9.15152e6i −0.393357 + 0.681314i
\(711\) −1.71083e6 2.96325e6i −0.126921 0.219834i
\(712\) 170086. 964605.i 0.0125739 0.0713099i
\(713\) −561964. + 3.18706e6i −0.0413985 + 0.234783i
\(714\) 7.12932e6 + 1.23483e7i 0.523362 + 0.906490i
\(715\) 5.77409e6 1.00010e7i 0.422394 0.731609i
\(716\) −2.33153e6 1.95638e6i −0.169964 0.142617i
\(717\) 6.94478e6 + 2.52769e6i 0.504499 + 0.183623i
\(718\) −1.18070e6 + 429741.i −0.0854732 + 0.0311097i
\(719\) −1.21471e7 + 1.01927e7i −0.876297 + 0.735301i −0.965414 0.260721i \(-0.916040\pi\)
0.0891172 + 0.996021i \(0.471595\pi\)
\(720\) −894552. 5.07326e6i −0.0643094 0.364717i
\(721\) 535821. 0.0383868
\(722\) 2.87288e6 + 9.47859e6i 0.205105 + 0.676707i
\(723\) −2.29792e7 −1.63489
\(724\) −273023. 1.54839e6i −0.0193576 0.109783i
\(725\) −147029. + 123372.i −0.0103886 + 0.00871710i
\(726\) 2.12696e7 7.74150e6i 1.49768 0.545110i
\(727\) −1.89949e7 6.91358e6i −1.33291 0.485140i −0.425337 0.905035i \(-0.639845\pi\)
−0.907573 + 0.419895i \(0.862067\pi\)
\(728\) 2.29480e6 + 1.92557e6i 0.160478 + 0.134657i
\(729\) −3.88053e6 + 6.72127e6i −0.270440 + 0.468417i
\(730\) −4.17428e6 7.23006e6i −0.289917 0.502151i
\(731\) −1.26967e6 + 7.20068e6i −0.0878817 + 0.498402i
\(732\) −3.11728e6 + 1.76790e7i −0.215029 + 1.21949i
\(733\) 7.09353e6 + 1.22863e7i 0.487643 + 0.844623i 0.999899 0.0142099i \(-0.00452332\pi\)
−0.512256 + 0.858833i \(0.671190\pi\)
\(734\) 3.42834e6 5.93805e6i 0.234879 0.406822i
\(735\) −7.27549e6 6.10486e6i −0.496757 0.416829i
\(736\) −3.53209e6 1.28558e6i −0.240346 0.0874789i
\(737\) 7.71750e6 2.80894e6i 0.523369 0.190491i
\(738\) 1.86017e7 1.56087e7i 1.25722 1.05493i
\(739\) 736938. + 4.17938e6i 0.0496386 + 0.281515i 0.999516 0.0311080i \(-0.00990359\pi\)
−0.949877 + 0.312623i \(0.898792\pi\)
\(740\) 4.89149e6 0.328369
\(741\) 2.43956e7 1.46253e6i 1.63217 0.0978498i
\(742\) 8.89634e6 0.593200
\(743\) 2.17774e6 + 1.23506e7i 0.144722 + 0.820759i 0.967590 + 0.252527i \(0.0812615\pi\)
−0.822868 + 0.568233i \(0.807627\pi\)
\(744\) 1.23199e6 1.03376e6i 0.0815972 0.0684682i
\(745\) −1.03842e7 + 3.77953e6i −0.685459 + 0.249487i
\(746\) −9.68266e6 3.52420e6i −0.637012 0.231853i
\(747\) 3.19127e7 + 2.67779e7i 2.09248 + 1.75580i
\(748\) −6.98458e6 + 1.20976e7i −0.456443 + 0.790582i
\(749\) 6.36452e6 + 1.10237e7i 0.414535 + 0.717995i
\(750\) −3.49908e6 + 1.98442e7i −0.227143 + 1.28819i
\(751\) −3.31893e6 + 1.88226e7i −0.214733 + 1.21781i 0.666636 + 0.745383i \(0.267733\pi\)
−0.881369 + 0.472428i \(0.843378\pi\)
\(752\) −1.03969e6 1.80080e6i −0.0670440 0.116124i
\(753\) −1.36296e7 + 2.36071e7i −0.875981 + 1.51724i
\(754\) 170830. + 143344.i 0.0109430 + 0.00918228i
\(755\) −1.47725e7 5.37676e6i −0.943164 0.343284i
\(756\) 1.20145e7 4.37292e6i 0.764541 0.278270i
\(757\) −7.47001e6 + 6.26808e6i −0.473785 + 0.397553i −0.848173 0.529719i \(-0.822297\pi\)
0.374388 + 0.927272i \(0.377853\pi\)
\(758\) 1.76214e6 + 9.99358e6i 0.111395 + 0.631754i
\(759\) −6.27375e7 −3.95297
\(760\) 826700. + 3.46186e6i 0.0519175 + 0.217408i
\(761\) 7.08784e6 0.443662 0.221831 0.975085i \(-0.428797\pi\)
0.221831 + 0.975085i \(0.428797\pi\)
\(762\) −5.41926e6 3.07342e7i −0.338106 1.91749i
\(763\) 888151. 745247.i 0.0552300 0.0463435i
\(764\) −2.41367e6 + 878504.i −0.149604 + 0.0544516i
\(765\) 2.75316e7 + 1.00207e7i 1.70090 + 0.619076i
\(766\) −1.08585e6 911133.i −0.0668646 0.0561061i
\(767\) −9.85035e6 + 1.70613e7i −0.604593 + 1.04719i
\(768\) 933966. +