Properties

Label 27.6.e.a.7.5
Level 27
Weight 6
Character 27.7
Analytic conductor 4.330
Analytic rank 0
Dimension 84
CM No

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(4.33036313495\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(14\) over \(\Q(\zeta_{9})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.5
Character \(\chi\) = 27.7
Dual form 27.6.e.a.4.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.77365 + 1.73746i) q^{2} +(11.5896 - 10.4250i) q^{3} +(-4.74451 + 3.98112i) q^{4} +(-2.77896 - 15.7603i) q^{5} +(-37.2117 + 69.9018i) q^{6} +(-95.3445 - 80.0035i) q^{7} +(97.0117 - 168.029i) q^{8} +(25.6389 - 241.644i) q^{9} +O(q^{10})\) \(q+(-4.77365 + 1.73746i) q^{2} +(11.5896 - 10.4250i) q^{3} +(-4.74451 + 3.98112i) q^{4} +(-2.77896 - 15.7603i) q^{5} +(-37.2117 + 69.9018i) q^{6} +(-95.3445 - 80.0035i) q^{7} +(97.0117 - 168.029i) q^{8} +(25.6389 - 241.644i) q^{9} +(40.6487 + 70.4057i) q^{10} +(98.9514 - 561.181i) q^{11} +(-13.4840 + 95.6012i) q^{12} +(-475.626 - 173.114i) q^{13} +(594.144 + 216.251i) q^{14} +(-196.508 - 153.685i) q^{15} +(-136.739 + 775.484i) q^{16} +(401.110 + 694.743i) q^{17} +(297.456 + 1198.07i) q^{18} +(-992.540 + 1719.13i) q^{19} +(75.9284 + 63.7115i) q^{20} +(-1939.04 + 66.7548i) q^{21} +(502.674 + 2850.81i) q^{22} +(2011.74 - 1688.05i) q^{23} +(-627.374 - 2958.74i) q^{24} +(2695.88 - 981.218i) q^{25} +2571.25 q^{26} +(-2221.99 - 3067.85i) q^{27} +770.867 q^{28} +(-2690.88 + 979.399i) q^{29} +(1205.08 + 392.213i) q^{30} +(-813.167 + 682.329i) q^{31} +(383.504 + 2174.96i) q^{32} +(-4703.50 - 7535.45i) q^{33} +(-3121.85 - 2619.54i) q^{34} +(-995.920 + 1724.98i) q^{35} +(840.368 + 1248.55i) q^{36} +(5032.18 + 8715.99i) q^{37} +(1751.11 - 9931.02i) q^{38} +(-7317.04 + 2952.08i) q^{39} +(-2917.78 - 1061.99i) q^{40} +(7762.35 + 2825.26i) q^{41} +(9140.32 - 3687.68i) q^{42} +(2897.00 - 16429.7i) q^{43} +(1764.65 + 3056.47i) q^{44} +(-3879.62 + 267.442i) q^{45} +(-6670.40 + 11553.5i) q^{46} +(-13414.2 - 11255.8i) q^{47} +(6499.67 + 10413.1i) q^{48} +(-228.496 - 1295.87i) q^{49} +(-11164.3 + 9367.98i) q^{50} +(11891.4 + 3870.24i) q^{51} +(2945.80 - 1072.18i) q^{52} +15083.4 q^{53} +(15937.3 + 10784.2i) q^{54} -9119.36 q^{55} +(-22692.5 + 8259.38i) q^{56} +(6418.75 + 30271.3i) q^{57} +(11143.6 - 9350.61i) q^{58} +(1364.75 + 7739.88i) q^{59} +(1544.17 - 53.1608i) q^{60} +(-26105.9 - 21905.5i) q^{61} +(2696.25 - 4670.04i) q^{62} +(-21776.9 + 20988.2i) q^{63} +(-18208.8 - 31538.5i) q^{64} +(-1406.57 + 7977.08i) q^{65} +(35545.4 + 27799.4i) q^{66} +(58480.9 + 21285.3i) q^{67} +(-4668.93 - 1699.35i) q^{68} +(5717.39 - 40536.2i) q^{69} +(1757.07 - 9964.84i) q^{70} +(-5195.47 - 8998.81i) q^{71} +(-38115.9 - 27750.3i) q^{72} +(-11124.0 + 19267.3i) q^{73} +(-39165.6 - 32863.8i) q^{74} +(21015.0 - 39476.4i) q^{75} +(-2134.94 - 12107.9i) q^{76} +(-54331.0 + 45589.1i) q^{77} +(29799.8 - 26805.3i) q^{78} +(80498.3 - 29299.0i) q^{79} +12601.9 q^{80} +(-57734.3 - 12391.0i) q^{81} -41963.5 q^{82} +(30705.6 - 11175.9i) q^{83} +(8934.06 - 8036.28i) q^{84} +(9834.68 - 8252.27i) q^{85} +(14716.8 + 83463.1i) q^{86} +(-20976.0 + 39403.3i) q^{87} +(-84695.4 - 71067.9i) q^{88} +(58194.9 - 100797. i) q^{89} +(18055.3 - 8017.38i) q^{90} +(31498.6 + 54557.2i) q^{91} +(-2824.39 + 16017.9i) q^{92} +(-2311.04 + 16385.2i) q^{93} +(83591.2 + 30424.7i) q^{94} +(29852.2 + 10865.3i) q^{95} +(27118.6 + 21208.9i) q^{96} +(-28342.1 + 160736. i) q^{97} +(3342.29 + 5789.01i) q^{98} +(-133069. - 38299.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} + O(q^{10}) \) \( 84q - 6q^{2} - 6q^{3} - 6q^{4} - 93q^{5} - 126q^{6} - 6q^{7} + 573q^{8} + 324q^{9} - 3q^{10} + 111q^{11} - 2769q^{12} - 6q^{13} - 1641q^{14} + 1989q^{15} + 90q^{16} + 3465q^{17} - 99q^{18} - 3q^{19} + 9987q^{20} + 5424q^{21} - 2850q^{22} - 7716q^{23} - 18486q^{24} + 4953q^{25} - 7806q^{26} - 8109q^{27} - 12q^{28} - 20418q^{29} - 6453q^{30} - 6657q^{31} + 51192q^{32} + 50634q^{33} - 11394q^{34} + 35868q^{35} - 3600q^{36} - 3q^{37} - 44076q^{38} - 13971q^{39} + 12441q^{40} - 79077q^{41} - 64422q^{42} - 9465q^{43} + 110757q^{44} + 92493q^{45} - 3q^{46} + 103557q^{47} + 134049q^{48} + 5484q^{49} - 105513q^{50} - 124866q^{51} + 68625q^{52} - 206406q^{53} - 350946q^{54} - 12q^{55} - 147237q^{56} + 67767q^{57} - 9753q^{58} + 116484q^{59} + 241290q^{60} - 70116q^{61} + 246066q^{62} + 135981q^{63} - 86019q^{64} - 19815q^{65} - 32931q^{66} + 48117q^{67} - 48105q^{68} + 25263q^{69} + 270111q^{70} + 279531q^{71} + 441684q^{72} - 27012q^{73} + 233691q^{74} + 18399q^{75} - 125670q^{76} - 345135q^{77} - 520974q^{78} - 216186q^{79} - 924114q^{80} - 428616q^{81} - 12q^{82} - 370401q^{83} - 522390q^{84} - 43731q^{85} + 116682q^{86} + 304173q^{87} + 371418q^{88} + 154827q^{89} + 327366q^{90} - 91002q^{91} + 1279059q^{92} + 890079q^{93} + 11667q^{94} + 1087671q^{95} + 1165698q^{96} - 420621q^{97} + 463410q^{98} - 28323q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.77365 + 1.73746i −0.843869 + 0.307143i −0.727538 0.686067i \(-0.759336\pi\)
−0.116331 + 0.993210i \(0.537113\pi\)
\(3\) 11.5896 10.4250i 0.743475 0.668764i
\(4\) −4.74451 + 3.98112i −0.148266 + 0.124410i
\(5\) −2.77896 15.7603i −0.0497116 0.281929i 0.949811 0.312824i \(-0.101275\pi\)
−0.999523 + 0.0308958i \(0.990164\pi\)
\(6\) −37.2117 + 69.9018i −0.421989 + 0.792703i
\(7\) −95.3445 80.0035i −0.735446 0.617112i 0.196165 0.980571i \(-0.437151\pi\)
−0.931610 + 0.363459i \(0.881596\pi\)
\(8\) 97.0117 168.029i 0.535919 0.928239i
\(9\) 25.6389 241.644i 0.105510 0.994418i
\(10\) 40.6487 + 70.4057i 0.128543 + 0.222642i
\(11\) 98.9514 561.181i 0.246570 1.39837i −0.570248 0.821473i \(-0.693153\pi\)
0.816818 0.576896i \(-0.195736\pi\)
\(12\) −13.4840 + 95.6012i −0.0270312 + 0.191651i
\(13\) −475.626 173.114i −0.780562 0.284101i −0.0791548 0.996862i \(-0.525222\pi\)
−0.701407 + 0.712761i \(0.747444\pi\)
\(14\) 594.144 + 216.251i 0.810162 + 0.294875i
\(15\) −196.508 153.685i −0.225503 0.176362i
\(16\) −136.739 + 775.484i −0.133534 + 0.757309i
\(17\) 401.110 + 694.743i 0.336621 + 0.583045i 0.983795 0.179298i \(-0.0573826\pi\)
−0.647174 + 0.762342i \(0.724049\pi\)
\(18\) 297.456 + 1198.07i 0.216392 + 0.871566i
\(19\) −992.540 + 1719.13i −0.630760 + 1.09251i 0.356637 + 0.934243i \(0.383923\pi\)
−0.987397 + 0.158265i \(0.949410\pi\)
\(20\) 75.9284 + 63.7115i 0.0424453 + 0.0356158i
\(21\) −1939.04 + 66.7548i −0.959488 + 0.0330320i
\(22\) 502.674 + 2850.81i 0.221427 + 1.25577i
\(23\) 2011.74 1688.05i 0.792961 0.665373i −0.153516 0.988146i \(-0.549060\pi\)
0.946476 + 0.322773i \(0.104615\pi\)
\(24\) −627.374 2958.74i −0.222330 1.04853i
\(25\) 2695.88 981.218i 0.862680 0.313990i
\(26\) 2571.25 0.745952
\(27\) −2221.99 3067.85i −0.586587 0.809886i
\(28\) 770.867 0.185817
\(29\) −2690.88 + 979.399i −0.594154 + 0.216254i −0.621555 0.783370i \(-0.713499\pi\)
0.0274016 + 0.999625i \(0.491277\pi\)
\(30\) 1205.08 + 392.213i 0.244463 + 0.0795643i
\(31\) −813.167 + 682.329i −0.151976 + 0.127523i −0.715605 0.698505i \(-0.753849\pi\)
0.563629 + 0.826028i \(0.309405\pi\)
\(32\) 383.504 + 2174.96i 0.0662055 + 0.375470i
\(33\) −4703.50 7535.45i −0.751859 1.20455i
\(34\) −3121.85 2619.54i −0.463142 0.388623i
\(35\) −995.920 + 1724.98i −0.137421 + 0.238021i
\(36\) 840.368 + 1248.55i 0.108072 + 0.160565i
\(37\) 5032.18 + 8715.99i 0.604299 + 1.04668i 0.992162 + 0.124959i \(0.0398800\pi\)
−0.387863 + 0.921717i \(0.626787\pi\)
\(38\) 1751.11 9931.02i 0.196722 1.11567i
\(39\) −7317.04 + 2952.08i −0.770325 + 0.310789i
\(40\) −2917.78 1061.99i −0.288338 0.104947i
\(41\) 7762.35 + 2825.26i 0.721163 + 0.262482i 0.676419 0.736517i \(-0.263531\pi\)
0.0447437 + 0.998999i \(0.485753\pi\)
\(42\) 9140.32 3687.68i 0.799537 0.322575i
\(43\) 2897.00 16429.7i 0.238934 1.35506i −0.595235 0.803552i \(-0.702941\pi\)
0.834168 0.551510i \(-0.185948\pi\)
\(44\) 1764.65 + 3056.47i 0.137413 + 0.238006i
\(45\) −3879.62 + 267.442i −0.285600 + 0.0196878i
\(46\) −6670.40 + 11553.5i −0.464790 + 0.805041i
\(47\) −13414.2 11255.8i −0.885767 0.743247i 0.0815894 0.996666i \(-0.474000\pi\)
−0.967357 + 0.253419i \(0.918445\pi\)
\(48\) 6499.67 + 10413.1i 0.407182 + 0.652343i
\(49\) −228.496 1295.87i −0.0135953 0.0771029i
\(50\) −11164.3 + 9367.98i −0.631549 + 0.529933i
\(51\) 11891.4 + 3870.24i 0.640188 + 0.208359i
\(52\) 2945.80 1072.18i 0.151076 0.0549871i
\(53\) 15083.4 0.737583 0.368791 0.929512i \(-0.379772\pi\)
0.368791 + 0.929512i \(0.379772\pi\)
\(54\) 15937.3 + 10784.2i 0.743754 + 0.503272i
\(55\) −9119.36 −0.406497
\(56\) −22692.5 + 8259.38i −0.966967 + 0.351947i
\(57\) 6418.75 + 30271.3i 0.261676 + 1.23408i
\(58\) 11143.6 9350.61i 0.434967 0.364981i
\(59\) 1364.75 + 7739.88i 0.0510414 + 0.289470i 0.999635 0.0270274i \(-0.00860415\pi\)
−0.948593 + 0.316498i \(0.897493\pi\)
\(60\) 1544.17 53.1608i 0.0553756 0.00190640i
\(61\) −26105.9 21905.5i −0.898285 0.753751i 0.0715693 0.997436i \(-0.477199\pi\)
−0.969854 + 0.243685i \(0.921644\pi\)
\(62\) 2696.25 4670.04i 0.0890802 0.154291i
\(63\) −21776.9 + 20988.2i −0.691264 + 0.666229i
\(64\) −18208.8 31538.5i −0.555688 0.962480i
\(65\) −1406.57 + 7977.08i −0.0412933 + 0.234186i
\(66\) 35545.4 + 27799.4i 1.00444 + 0.785553i
\(67\) 58480.9 + 21285.3i 1.59157 + 0.579286i 0.977679 0.210102i \(-0.0673796\pi\)
0.613895 + 0.789388i \(0.289602\pi\)
\(68\) −4668.93 1699.35i −0.122446 0.0445667i
\(69\) 5717.39 40536.2i 0.144569 1.02499i
\(70\) 1757.07 9964.84i 0.0428592 0.243066i
\(71\) −5195.47 8998.81i −0.122315 0.211855i 0.798365 0.602173i \(-0.205698\pi\)
−0.920680 + 0.390318i \(0.872365\pi\)
\(72\) −38115.9 27750.3i −0.866513 0.630866i
\(73\) −11124.0 + 19267.3i −0.244317 + 0.423170i −0.961939 0.273263i \(-0.911897\pi\)
0.717622 + 0.696433i \(0.245231\pi\)
\(74\) −39165.6 32863.8i −0.831429 0.697652i
\(75\) 21015.0 39476.4i 0.431396 0.810373i
\(76\) −2134.94 12107.9i −0.0423987 0.240455i
\(77\) −54331.0 + 45589.1i −1.04429 + 0.876263i
\(78\) 29799.8 26805.3i 0.554596 0.498866i
\(79\) 80498.3 29299.0i 1.45117 0.528184i 0.508254 0.861207i \(-0.330291\pi\)
0.942919 + 0.333023i \(0.108069\pi\)
\(80\) 12601.9 0.220145
\(81\) −57734.3 12391.0i −0.977735 0.209842i
\(82\) −41963.5 −0.689187
\(83\) 30705.6 11175.9i 0.489241 0.178069i −0.0856079 0.996329i \(-0.527283\pi\)
0.574848 + 0.818260i \(0.305061\pi\)
\(84\) 8934.06 8036.28i 0.138150 0.124267i
\(85\) 9834.68 8252.27i 0.147643 0.123887i
\(86\) 14716.8 + 83463.1i 0.214569 + 1.21688i
\(87\) −20976.0 + 39403.3i −0.297115 + 0.558128i
\(88\) −84695.4 71067.9i −1.16588 0.978288i
\(89\) 58194.9 100797.i 0.778772 1.34887i −0.153878 0.988090i \(-0.549176\pi\)
0.932650 0.360782i \(-0.117490\pi\)
\(90\) 18055.3 8017.38i 0.234962 0.104334i
\(91\) 31498.6 + 54557.2i 0.398738 + 0.690635i
\(92\) −2824.39 + 16017.9i −0.0347901 + 0.197304i
\(93\) −2311.04 + 16385.2i −0.0277076 + 0.196447i
\(94\) 83591.2 + 30424.7i 0.975755 + 0.355146i
\(95\) 29852.2 + 10865.3i 0.339365 + 0.123519i
\(96\) 27118.6 + 21208.9i 0.300323 + 0.234877i
\(97\) −28342.1 + 160736.i −0.305846 + 1.73454i 0.313651 + 0.949538i \(0.398448\pi\)
−0.619496 + 0.784999i \(0.712663\pi\)
\(98\) 3342.29 + 5789.01i 0.0351543 + 0.0608890i
\(99\) −133069. 38299.1i −1.36455 0.392736i
\(100\) −8884.27 + 15388.0i −0.0888427 + 0.153880i
\(101\) 13779.1 + 11562.0i 0.134405 + 0.112779i 0.707512 0.706701i \(-0.249818\pi\)
−0.573107 + 0.819481i \(0.694262\pi\)
\(102\) −63489.8 + 2185.74i −0.604231 + 0.0208017i
\(103\) 25408.3 + 144097.i 0.235984 + 1.33833i 0.840532 + 0.541761i \(0.182242\pi\)
−0.604549 + 0.796568i \(0.706647\pi\)
\(104\) −75229.4 + 63125.0i −0.682032 + 0.572292i
\(105\) 6440.61 + 30374.4i 0.0570103 + 0.268865i
\(106\) −72003.0 + 26207.0i −0.622424 + 0.226544i
\(107\) 200073. 1.68938 0.844692 0.535253i \(-0.179784\pi\)
0.844692 + 0.535253i \(0.179784\pi\)
\(108\) 22755.7 + 5709.43i 0.187729 + 0.0471014i
\(109\) −117299. −0.945645 −0.472822 0.881158i \(-0.656765\pi\)
−0.472822 + 0.881158i \(0.656765\pi\)
\(110\) 43532.6 15844.6i 0.343031 0.124853i
\(111\) 149185. + 48554.6i 1.14926 + 0.374044i
\(112\) 75078.8 62998.6i 0.565552 0.474554i
\(113\) −38077.3 215947.i −0.280524 1.59093i −0.720849 0.693092i \(-0.756248\pi\)
0.440325 0.897838i \(-0.354863\pi\)
\(114\) −83236.2 133352.i −0.599860 0.961032i
\(115\) −32194.7 27014.5i −0.227007 0.190482i
\(116\) 8867.80 15359.5i 0.0611886 0.105982i
\(117\) −54026.4 + 110494.i −0.364872 + 0.746229i
\(118\) −19962.6 34576.2i −0.131981 0.228598i
\(119\) 17338.3 98330.1i 0.112238 0.636531i
\(120\) −44887.2 + 18109.8i −0.284557 + 0.114805i
\(121\) −153795. 55976.7i −0.954945 0.347571i
\(122\) 162680. + 59210.8i 0.989545 + 0.360165i
\(123\) 119416. 48178.7i 0.711705 0.287139i
\(124\) 1141.65 6474.63i 0.00666776 0.0378147i
\(125\) −47961.4 83071.5i −0.274547 0.475529i
\(126\) 67488.9 138027.i 0.378709 0.774527i
\(127\) −35495.3 + 61479.6i −0.195282 + 0.338237i −0.946993 0.321255i \(-0.895895\pi\)
0.751711 + 0.659492i \(0.229229\pi\)
\(128\) 87581.3 + 73489.4i 0.472483 + 0.396460i
\(129\) −137705. 220616.i −0.728575 1.16724i
\(130\) −7145.41 40523.6i −0.0370825 0.210305i
\(131\) 80720.8 67732.8i 0.410967 0.344843i −0.413747 0.910392i \(-0.635780\pi\)
0.824715 + 0.565549i \(0.191336\pi\)
\(132\) 52315.4 + 17026.8i 0.261333 + 0.0850549i
\(133\) 232170. 84502.9i 1.13809 0.414231i
\(134\) −316150. −1.52100
\(135\) −42175.3 + 43544.6i −0.199170 + 0.205636i
\(136\) 155649. 0.721606
\(137\) −198740. + 72335.5i −0.904658 + 0.329268i −0.752118 0.659029i \(-0.770968\pi\)
−0.152540 + 0.988297i \(0.548745\pi\)
\(138\) 43137.4 + 203439.i 0.192822 + 0.909363i
\(139\) −90470.2 + 75913.5i −0.397163 + 0.333259i −0.819396 0.573228i \(-0.805691\pi\)
0.422233 + 0.906487i \(0.361246\pi\)
\(140\) −2142.21 12149.1i −0.00923724 0.0523870i
\(141\) −272807. + 9391.85i −1.15560 + 0.0397835i
\(142\) 40436.4 + 33930.2i 0.168288 + 0.141210i
\(143\) −144212. + 249783.i −0.589741 + 1.02146i
\(144\) 183885. + 52924.7i 0.738993 + 0.212692i
\(145\) 22913.5 + 39687.3i 0.0905046 + 0.156759i
\(146\) 19625.7 111303.i 0.0761980 0.432141i
\(147\) −16157.6 12636.6i −0.0616714 0.0482320i
\(148\) −58574.6 21319.4i −0.219814 0.0800057i
\(149\) 64234.2 + 23379.3i 0.237029 + 0.0862714i 0.457803 0.889053i \(-0.348636\pi\)
−0.220775 + 0.975325i \(0.570859\pi\)
\(150\) −31729.2 + 224959.i −0.115141 + 0.816349i
\(151\) 16791.8 95231.2i 0.0599315 0.339889i −0.940068 0.340987i \(-0.889239\pi\)
0.999999 + 0.00109877i \(0.000349748\pi\)
\(152\) 192576. + 333551.i 0.676072 + 1.17099i
\(153\) 178164. 79113.2i 0.615307 0.273225i
\(154\) 180147. 312024.i 0.612105 1.06020i
\(155\) 13013.5 + 10919.6i 0.0435074 + 0.0365071i
\(156\) 22963.2 43136.2i 0.0755477 0.141916i
\(157\) −43333.4 245756.i −0.140305 0.795711i −0.971017 0.239009i \(-0.923178\pi\)
0.830712 0.556702i \(-0.187934\pi\)
\(158\) −333365. + 279726.i −1.06237 + 0.891436i
\(159\) 174811. 157245.i 0.548374 0.493269i
\(160\) 33212.2 12088.3i 0.102565 0.0373305i
\(161\) −326858. −0.993789
\(162\) 297132. 41161.2i 0.889532 0.123225i
\(163\) 434926. 1.28217 0.641086 0.767469i \(-0.278484\pi\)
0.641086 + 0.767469i \(0.278484\pi\)
\(164\) −48076.3 + 17498.3i −0.139579 + 0.0508027i
\(165\) −105690. + 95069.3i −0.302221 + 0.271851i
\(166\) −127160. + 106700.i −0.358162 + 0.300534i
\(167\) −112871. 640122.i −0.313177 1.77612i −0.582263 0.813000i \(-0.697833\pi\)
0.269086 0.963116i \(-0.413278\pi\)
\(168\) −176893. + 332292.i −0.483546 + 0.908336i
\(169\) −88175.2 73987.8i −0.237482 0.199271i
\(170\) −32609.2 + 56480.8i −0.0865403 + 0.149892i
\(171\) 389969. + 283918.i 1.01986 + 0.742510i
\(172\) 51663.8 + 89484.4i 0.133157 + 0.230635i
\(173\) −110687. + 627739.i −0.281179 + 1.59464i 0.437446 + 0.899245i \(0.355883\pi\)
−0.718624 + 0.695399i \(0.755228\pi\)
\(174\) 31670.4 224542.i 0.0793013 0.562244i
\(175\) −335538. 122126.i −0.828221 0.301448i
\(176\) 421657. + 153471.i 1.02607 + 0.373460i
\(177\) 96505.1 + 75474.8i 0.231535 + 0.181079i
\(178\) −102671. + 582279.i −0.242884 + 1.37747i
\(179\) −65374.0 113231.i −0.152501 0.264139i 0.779645 0.626221i \(-0.215399\pi\)
−0.932146 + 0.362082i \(0.882066\pi\)
\(180\) 17342.2 16714.1i 0.0398954 0.0384505i
\(181\) −19653.9 + 34041.6i −0.0445916 + 0.0772348i −0.887460 0.460885i \(-0.847532\pi\)
0.842868 + 0.538120i \(0.180865\pi\)
\(182\) −245154. 205709.i −0.548607 0.460336i
\(183\) −530922. + 18277.9i −1.17193 + 0.0403458i
\(184\) −88479.3 501791.i −0.192662 1.09264i
\(185\) 123382. 103530.i 0.265047 0.222401i
\(186\) −17436.6 82232.5i −0.0369556 0.174285i
\(187\) 429567. 156350.i 0.898312 0.326959i
\(188\) 108455. 0.223797
\(189\) −33584.2 + 470269.i −0.0683880 + 0.957617i
\(190\) −161382. −0.324318
\(191\) 453938. 165220.i 0.900354 0.327702i 0.149959 0.988692i \(-0.452086\pi\)
0.750395 + 0.660990i \(0.229864\pi\)
\(192\) −539822. 175693.i −1.05681 0.343956i
\(193\) −357727. + 300168.i −0.691286 + 0.580058i −0.919280 0.393604i \(-0.871228\pi\)
0.227993 + 0.973663i \(0.426784\pi\)
\(194\) −143978. 816540.i −0.274658 1.55766i
\(195\) 66859.3 + 107115.i 0.125914 + 0.201727i
\(196\) 6243.11 + 5238.59i 0.0116081 + 0.00974034i
\(197\) −229035. + 396700.i −0.420471 + 0.728276i −0.995985 0.0895150i \(-0.971468\pi\)
0.575515 + 0.817791i \(0.304802\pi\)
\(198\) 701767. 48376.3i 1.27213 0.0876940i
\(199\) −342163. 592643.i −0.612492 1.06087i −0.990819 0.135195i \(-0.956834\pi\)
0.378327 0.925672i \(-0.376499\pi\)
\(200\) 96658.1 548175.i 0.170869 0.969046i
\(201\) 899671. 362974.i 1.57070 0.633703i
\(202\) −85865.0 31252.3i −0.148060 0.0538894i
\(203\) 334916. + 121899.i 0.570421 + 0.207616i
\(204\) −71826.8 + 28978.7i −0.120840 + 0.0487532i
\(205\) 22955.7 130188.i 0.0381510 0.216365i
\(206\) −371654. 643724.i −0.610198 1.05689i
\(207\) −356327. 529403.i −0.577994 0.858738i
\(208\) 199284. 345169.i 0.319384 0.553189i
\(209\) 866531. + 727106.i 1.37220 + 1.15141i
\(210\) −83519.6 133806.i −0.130689 0.209377i
\(211\) 94017.3 + 533199.i 0.145379 + 0.824486i 0.967062 + 0.254541i \(0.0819243\pi\)
−0.821683 + 0.569945i \(0.806965\pi\)
\(212\) −71563.6 + 60049.0i −0.109358 + 0.0917627i
\(213\) −154026. 50130.2i −0.232619 0.0757095i
\(214\) −955076. + 347619.i −1.42562 + 0.518883i
\(215\) −266988. −0.393908
\(216\) −731046. + 75741.9i −1.06613 + 0.110459i
\(217\) 132120. 0.190466
\(218\) 559944. 203803.i 0.798001 0.290448i
\(219\) 71938.9 + 339269.i 0.101357 + 0.478007i
\(220\) 43266.9 36305.3i 0.0602698 0.0505723i
\(221\) −70508.8 399875.i −0.0971097 0.550737i
\(222\) −796519. + 27421.5i −1.08471 + 0.0373430i
\(223\) 989753. + 830501.i 1.33280 + 1.11835i 0.983415 + 0.181372i \(0.0580537\pi\)
0.349385 + 0.936979i \(0.386391\pi\)
\(224\) 137439. 238052.i 0.183017 0.316994i
\(225\) −167986. 676599.i −0.221216 0.890994i
\(226\) 556968. + 964697.i 0.725369 + 1.25638i
\(227\) −166791. + 945918.i −0.214836 + 1.21840i 0.666354 + 0.745635i \(0.267854\pi\)
−0.881190 + 0.472762i \(0.843257\pi\)
\(228\) −150968. 118069.i −0.192330 0.150417i
\(229\) 122464. + 44573.1i 0.154319 + 0.0561674i 0.418024 0.908436i \(-0.362723\pi\)
−0.263706 + 0.964603i \(0.584945\pi\)
\(230\) 200623. + 73020.7i 0.250069 + 0.0910178i
\(231\) −154410. + 1.09476e6i −0.190390 + 1.34986i
\(232\) −96478.9 + 547159.i −0.117683 + 0.667411i
\(233\) 296713. + 513921.i 0.358052 + 0.620165i 0.987635 0.156769i \(-0.0501077\pi\)
−0.629583 + 0.776933i \(0.716774\pi\)
\(234\) 65924.1 621326.i 0.0787054 0.741788i
\(235\) −140118. + 242691.i −0.165510 + 0.286671i
\(236\) −37288.4 31288.7i −0.0435807 0.0365686i
\(237\) 627504. 1.17876e6i 0.725681 1.36318i
\(238\) 88078.5 + 499518.i 0.100792 + 0.571622i
\(239\) −949730. + 796918.i −1.07549 + 0.902441i −0.995538 0.0943582i \(-0.969920\pi\)
−0.0799487 + 0.996799i \(0.525476\pi\)
\(240\) 146051. 131374.i 0.163672 0.147225i
\(241\) −982056. + 357439.i −1.08916 + 0.396423i −0.823311 0.567590i \(-0.807876\pi\)
−0.265853 + 0.964014i \(0.585654\pi\)
\(242\) 831420. 0.912603
\(243\) −798295. + 458273.i −0.867257 + 0.497861i
\(244\) 211068. 0.226959
\(245\) −19788.3 + 7202.34i −0.0210617 + 0.00766582i
\(246\) −486341. + 437469.i −0.512393 + 0.460903i
\(247\) 769683. 645841.i 0.802730 0.673570i
\(248\) 35764.4 + 202830.i 0.0369251 + 0.209412i
\(249\) 239358. 449631.i 0.244652 0.459576i
\(250\) 373284. + 313223.i 0.377737 + 0.316959i
\(251\) 335297. 580751.i 0.335927 0.581843i −0.647735 0.761865i \(-0.724284\pi\)
0.983662 + 0.180022i \(0.0576171\pi\)
\(252\) 19764.2 186275.i 0.0196055 0.184779i
\(253\) −748237. 1.29598e6i −0.734916 1.27291i
\(254\) 62623.2 355154.i 0.0609047 0.345408i
\(255\) 27950.3 198167.i 0.0269176 0.190845i
\(256\) 549315. + 199934.i 0.523868 + 0.190672i
\(257\) 1.03926e6 + 378260.i 0.981503 + 0.357238i 0.782424 0.622746i \(-0.213983\pi\)
0.199078 + 0.979984i \(0.436205\pi\)
\(258\) 1.04066e6 + 813884.i 0.973333 + 0.761225i
\(259\) 217519. 1.23361e6i 0.201488 1.14269i
\(260\) −25084.2 43447.1i −0.0230127 0.0398591i
\(261\) 167674. + 675344.i 0.152358 + 0.613654i
\(262\) −267649. + 463582.i −0.240887 + 0.417228i
\(263\) −399371. 335112.i −0.356031 0.298745i 0.447176 0.894446i \(-0.352430\pi\)
−0.803206 + 0.595701i \(0.796874\pi\)
\(264\) −1.72247e6 + 59298.9i −1.52104 + 0.0523645i
\(265\) −41916.3 237719.i −0.0366664 0.207946i
\(266\) −961475. + 806774.i −0.833171 + 0.699113i
\(267\) −376346. 1.77488e6i −0.323080 1.52367i
\(268\) −362203. + 131831.i −0.308045 + 0.112119i
\(269\) −752426. −0.633991 −0.316995 0.948427i \(-0.602674\pi\)
−0.316995 + 0.948427i \(0.602674\pi\)
\(270\) 125673. 281145.i 0.104914 0.234704i
\(271\) −1.05481e6 −0.872475 −0.436237 0.899832i \(-0.643689\pi\)
−0.436237 + 0.899832i \(0.643689\pi\)
\(272\) −593610. + 216056.i −0.486495 + 0.177070i
\(273\) 933816. + 303925.i 0.758324 + 0.246808i
\(274\) 823035. 690608.i 0.662280 0.555719i
\(275\) −283881. 1.60997e6i −0.226362 1.28377i
\(276\) 134253. + 215086.i 0.106085 + 0.169957i
\(277\) −54133.8 45423.7i −0.0423906 0.0355699i 0.621346 0.783536i \(-0.286586\pi\)
−0.663737 + 0.747966i \(0.731031\pi\)
\(278\) 299976. 519573.i 0.232795 0.403213i
\(279\) 144032. + 213991.i 0.110776 + 0.164583i
\(280\) 193232. + 334687.i 0.147293 + 0.255120i
\(281\) 147758. 837976.i 0.111631 0.633091i −0.876732 0.480979i \(-0.840281\pi\)
0.988363 0.152112i \(-0.0486074\pi\)
\(282\) 1.28597e6 518827.i 0.962958 0.388508i
\(283\) 8519.63 + 3100.89i 0.00632346 + 0.00230155i 0.345180 0.938537i \(-0.387818\pi\)
−0.338856 + 0.940838i \(0.610040\pi\)
\(284\) 60475.3 + 22011.2i 0.0444920 + 0.0161938i
\(285\) 459247. 185284.i 0.334915 0.135122i
\(286\) 254429. 1.44294e6i 0.183929 1.04312i
\(287\) −514066. 890389.i −0.368396 0.638080i
\(288\) 535397. 36907.6i 0.380360 0.0262201i
\(289\) 388150. 672296.i 0.273373 0.473495i
\(290\) −178336. 149642.i −0.124521 0.104486i
\(291\) 1.34720e6 + 2.15834e6i 0.932607 + 1.49412i
\(292\) −23927.6 135700.i −0.0164226 0.0931372i
\(293\) −1.20084e6 + 1.00763e6i −0.817179 + 0.685695i −0.952310 0.305133i \(-0.901299\pi\)
0.135131 + 0.990828i \(0.456855\pi\)
\(294\) 99086.3 + 32249.1i 0.0668567 + 0.0217596i
\(295\) 118190. 43017.7i 0.0790726 0.0287801i
\(296\) 1.95272e6 1.29542
\(297\) −1.94149e6 + 943371.i −1.27715 + 0.620571i
\(298\) −347252. −0.226519
\(299\) −1.24906e6 + 454620.i −0.807988 + 0.294084i
\(300\) 57454.5 + 270960.i 0.0368571 + 0.173821i
\(301\) −1.59065e6 + 1.33471e6i −1.01195 + 0.849125i
\(302\) 85302.6 + 483775.i 0.0538201 + 0.305229i
\(303\) 280228. 9647.32i 0.175350 0.00603671i
\(304\) −1.19744e6 1.00477e6i −0.743139 0.623567i
\(305\) −272689. + 472311.i −0.167849 + 0.290722i
\(306\) −713036. + 687212.i −0.435320 + 0.419554i
\(307\) 58533.0 + 101382.i 0.0354450 + 0.0613925i 0.883204 0.468990i \(-0.155382\pi\)
−0.847759 + 0.530382i \(0.822048\pi\)
\(308\) 76278.4 432596.i 0.0458168 0.259840i
\(309\) 1.79669e6 + 1.40515e6i 1.07047 + 0.837197i
\(310\) −81094.0 29515.8i −0.0479275 0.0174442i
\(311\) 1.03313e6 + 376029.i 0.605696 + 0.220455i 0.626619 0.779326i \(-0.284438\pi\)
−0.0209230 + 0.999781i \(0.506660\pi\)
\(312\) −213803. + 1.51586e6i −0.124345 + 0.881603i
\(313\) 441203. 2.50218e6i 0.254552 1.44364i −0.542667 0.839948i \(-0.682585\pi\)
0.797219 0.603690i \(-0.206304\pi\)
\(314\) 633851. + 1.09786e6i 0.362797 + 0.628382i
\(315\) 391297. + 284884.i 0.222193 + 0.161768i
\(316\) −265283. + 459483.i −0.149448 + 0.258852i
\(317\) −331672. 278306.i −0.185379 0.155552i 0.545375 0.838192i \(-0.316387\pi\)
−0.730755 + 0.682640i \(0.760832\pi\)
\(318\) −561281. + 1.05436e6i −0.311252 + 0.584684i
\(319\) 283355. + 1.60698e6i 0.155903 + 0.884168i
\(320\) −446455. + 374620.i −0.243726 + 0.204511i
\(321\) 2.31877e6 2.08576e6i 1.25601 1.12980i
\(322\) 1.56030e6 567904.i 0.838628 0.305236i
\(323\) −1.59247e6 −0.849308
\(324\) 323251. 171058.i 0.171071 0.0905275i
\(325\) −1.45209e6 −0.762580
\(326\) −2.07618e6 + 755669.i −1.08199 + 0.393811i
\(327\) −1.35945e6 + 1.22284e6i −0.703063 + 0.632413i
\(328\) 1.22777e6 1.03022e6i 0.630131 0.528743i
\(329\) 378462. + 2.14636e6i 0.192767 + 1.09324i
\(330\) 339347. 637460.i 0.171538 0.322232i
\(331\) −525303. 440781.i −0.263536 0.221133i 0.501439 0.865193i \(-0.332804\pi\)
−0.764975 + 0.644060i \(0.777249\pi\)
\(332\) −101190. + 175267.i −0.0503842 + 0.0872680i
\(333\) 2.23518e6 992525.i 1.10459 0.490491i
\(334\) 1.65099e6 + 2.85961e6i 0.809803 + 1.40262i
\(335\) 172946. 980827.i 0.0841975 0.477508i
\(336\) 213375. 1.51283e6i 0.103109 0.731040i
\(337\) 2.18854e6 + 796565.i 1.04974 + 0.382073i 0.808563 0.588409i \(-0.200246\pi\)
0.241173 + 0.970482i \(0.422468\pi\)
\(338\) 549469. + 199990.i 0.261608 + 0.0952175i
\(339\) −2.69255e6 2.10579e6i −1.27252 0.995213i
\(340\) −13807.5 + 78306.0i −0.00647764 + 0.0367365i
\(341\) 302446. + 523852.i 0.140852 + 0.243962i
\(342\) −2.35487e6 677765.i −1.08868 0.313338i
\(343\) −1.12782e6 + 1.95344e6i −0.517611 + 0.896528i
\(344\) −2.47963e6 2.08066e6i −1.12977 0.947991i
\(345\) −654751. + 22540.9i −0.296161 + 0.0101958i
\(346\) −562292. 3.18892e6i −0.252506 1.43203i
\(347\) 1.53203e6 1.28553e6i 0.683038 0.573137i −0.233854 0.972272i \(-0.575134\pi\)
0.916892 + 0.399135i \(0.130689\pi\)
\(348\) −57348.0 270457.i −0.0253846 0.119716i
\(349\) 704550. 256435.i 0.309634 0.112697i −0.182530 0.983200i \(-0.558429\pi\)
0.492163 + 0.870503i \(0.336206\pi\)
\(350\) 1.81393e6 0.791498
\(351\) 525749. + 1.84380e6i 0.227777 + 0.798816i
\(352\) 1.25849e6 0.541370
\(353\) 1.73819e6 632650.i 0.742440 0.270226i 0.0570188 0.998373i \(-0.481840\pi\)
0.685421 + 0.728147i \(0.259618\pi\)
\(354\) −591816. 192616.i −0.251003 0.0816927i
\(355\) −127386. + 106889.i −0.0536476 + 0.0450157i
\(356\) 125177. + 709912.i 0.0523478 + 0.296879i
\(357\) −824147. 1.32036e6i −0.342243 0.548305i
\(358\) 508808. + 426940.i 0.209820 + 0.176060i
\(359\) −127927. + 221577.i −0.0523875 + 0.0907378i −0.891030 0.453945i \(-0.850016\pi\)
0.838642 + 0.544682i \(0.183350\pi\)
\(360\) −331431. + 677835.i −0.134783 + 0.275656i
\(361\) −732223. 1.26825e6i −0.295716 0.512196i
\(362\) 34674.8 196650.i 0.0139073 0.0788721i
\(363\) −2.36598e6 + 954561.i −0.942421 + 0.380222i
\(364\) −366644. 133448.i −0.145041 0.0527907i
\(365\) 334572. + 121774.i 0.131449 + 0.0478436i
\(366\) 2.50268e6 1.00971e6i 0.976567 0.393998i
\(367\) −150388. + 852891.i −0.0582837 + 0.330543i −0.999983 0.00591379i \(-0.998118\pi\)
0.941699 + 0.336457i \(0.109229\pi\)
\(368\) 1.03397e6 + 1.79089e6i 0.398006 + 0.689366i
\(369\) 881725. 1.80329e6i 0.337107 0.689443i
\(370\) −409103. + 708588.i −0.155356 + 0.269085i
\(371\) −1.43812e6 1.20673e6i −0.542452 0.455171i
\(372\) −54266.7 86940.3i −0.0203318 0.0325735i
\(373\) 161219. + 914317.i 0.0599989 + 0.340271i 1.00000 0.000901749i \(-0.000287036\pi\)
−0.940001 + 0.341173i \(0.889176\pi\)
\(374\) −1.77895e6 + 1.49272e6i −0.657635 + 0.551821i
\(375\) −1.42187e6 462771.i −0.522135 0.169937i
\(376\) −3.19264e6 + 1.16203e6i −1.16461 + 0.423883i
\(377\) 1.44940e6 0.525212
\(378\) −656757. 2.30325e6i −0.236415 0.829109i
\(379\) 1.89728e6 0.678475 0.339238 0.940701i \(-0.389831\pi\)
0.339238 + 0.940701i \(0.389831\pi\)
\(380\) −184890. + 67294.6i −0.0656834 + 0.0239068i
\(381\) 229548. + 1.08256e6i 0.0810141 + 0.382068i
\(382\) −1.87988e6 + 1.57740e6i −0.659129 + 0.553075i
\(383\) −604660. 3.42920e6i −0.210627 1.19453i −0.888335 0.459195i \(-0.848138\pi\)
0.677708 0.735331i \(-0.262973\pi\)
\(384\) 1.78116e6 61319.4i 0.616418 0.0212212i
\(385\) 869481. + 729581.i 0.298957 + 0.250855i
\(386\) 1.18613e6 2.05443e6i 0.405194 0.701817i
\(387\) −3.89586e6 1.12128e6i −1.32229 0.380573i
\(388\) −505440. 875447.i −0.170447 0.295223i
\(389\) −406628. + 2.30610e6i −0.136246 + 0.772689i 0.837738 + 0.546072i \(0.183878\pi\)
−0.973984 + 0.226617i \(0.927234\pi\)
\(390\) −505271. 395163.i −0.168214 0.131557i
\(391\) 1.97969e6 + 720547.i 0.654870 + 0.238353i
\(392\) −239910. 87320.3i −0.0788559 0.0287012i
\(393\) 229410. 1.62651e6i 0.0749257 0.531222i
\(394\) 404078. 2.29164e6i 0.131137 0.743715i
\(395\) −685463. 1.18726e6i −0.221050 0.382870i
\(396\) 783820. 348053.i 0.251176 0.111534i
\(397\) −1.06821e6 + 1.85019e6i −0.340157 + 0.589169i −0.984462 0.175600i \(-0.943814\pi\)
0.644305 + 0.764769i \(0.277147\pi\)
\(398\) 2.66306e6 + 2.23457e6i 0.842701 + 0.707110i
\(399\) 1.80982e6 3.39973e6i 0.569119 1.06908i
\(400\) 392289. + 2.22478e6i 0.122590 + 0.695244i
\(401\) 3.93399e6 3.30101e6i 1.22172 1.02515i 0.222990 0.974821i \(-0.428418\pi\)
0.998733 0.0503264i \(-0.0160262\pi\)
\(402\) −3.66406e6 + 3.29586e6i −1.13083 + 1.01719i
\(403\) 504884. 183763.i 0.154856 0.0563631i
\(404\) −111405. −0.0339586
\(405\) −34843.8 + 944343.i −0.0105557 + 0.286083i
\(406\) −1.81057e6 −0.545129
\(407\) 5.38919e6 1.96151e6i 1.61264 0.586953i
\(408\) 1.80392e6 1.62264e6i 0.536496 0.482584i
\(409\) 127722. 107171.i 0.0377534 0.0316788i −0.623716 0.781651i \(-0.714378\pi\)
0.661469 + 0.749972i \(0.269933\pi\)
\(410\) 116615. + 661357.i 0.0342606 + 0.194302i
\(411\) −1.54923e6 + 2.91021e6i −0.452388 + 0.849805i
\(412\) −694219. 582519.i −0.201490 0.169070i
\(413\) 489096. 847139.i 0.141097 0.244388i
\(414\) 2.62080e6 + 1.90808e6i 0.751507 + 0.547136i
\(415\) −261466. 452872.i −0.0745237 0.129079i
\(416\) 194111. 1.10086e6i 0.0549941 0.311887i
\(417\) −257118. + 1.82296e6i −0.0724089 + 0.513378i
\(418\) −5.39983e6 1.96538e6i −1.51161 0.550181i
\(419\) 1.11743e6 + 406713.i 0.310947 + 0.113176i 0.492780 0.870154i \(-0.335981\pi\)
−0.181833 + 0.983329i \(0.558203\pi\)
\(420\) −151482. 118471.i −0.0419022 0.0327709i
\(421\) −1.02277e6 + 5.80043e6i −0.281238 + 1.59498i 0.437184 + 0.899372i \(0.355976\pi\)
−0.718422 + 0.695608i \(0.755135\pi\)
\(422\) −1.37522e6 2.38195e6i −0.375916 0.651106i
\(423\) −3.06383e6 + 2.95286e6i −0.832556 + 0.802403i
\(424\) 1.46327e6 2.53446e6i 0.395285 0.684653i
\(425\) 1.76304e6 + 1.47936e6i 0.473466 + 0.397285i
\(426\) 822365. 28311.3i 0.219554 0.00755850i
\(427\) 736541. + 4.17713e6i 0.195491 + 1.10869i
\(428\) −949248. + 796513.i −0.250478 + 0.210176i
\(429\) 932619. + 4.39830e6i 0.244659 + 1.15383i
\(430\) 1.27451e6 463882.i 0.332407 0.120986i
\(431\) −5.29916e6 −1.37409 −0.687043 0.726617i \(-0.741091\pi\)
−0.687043 + 0.726617i \(0.741091\pi\)
\(432\) 2.68290e6 1.30362e6i 0.691664 0.336080i
\(433\) −702037. −0.179945 −0.0899726 0.995944i \(-0.528678\pi\)
−0.0899726 + 0.995944i \(0.528678\pi\)
\(434\) −630693. + 229553.i −0.160729 + 0.0585005i
\(435\) 679298. + 221088.i 0.172122 + 0.0560199i
\(436\) 556527. 466981.i 0.140207 0.117648i
\(437\) 905244. + 5.13389e6i 0.226758 + 1.28601i
\(438\) −932879. 1.49456e6i −0.232349 0.372244i
\(439\) 411595. + 345369.i 0.101931 + 0.0855307i 0.692329 0.721582i \(-0.256585\pi\)
−0.590398 + 0.807113i \(0.701029\pi\)
\(440\) −884685. + 1.53232e6i −0.217850 + 0.377327i
\(441\) −318997. + 21990.0i −0.0781069 + 0.00538430i
\(442\) 1.03135e6 + 1.78636e6i 0.251103 + 0.434923i
\(443\) −650929. + 3.69160e6i −0.157588 + 0.893728i 0.798793 + 0.601606i \(0.205472\pi\)
−0.956381 + 0.292122i \(0.905639\pi\)
\(444\) −901113. + 363556.i −0.216931 + 0.0875214i
\(445\) −1.75030e6 637059.i −0.419000 0.152503i
\(446\) −6.16770e6 2.24486e6i −1.46820 0.534382i
\(447\) 988180. 398684.i 0.233920 0.0943756i
\(448\) −787087. + 4.46379e6i −0.185280 + 1.05077i
\(449\) 344372. + 596470.i 0.0806143 + 0.139628i 0.903514 0.428559i \(-0.140978\pi\)
−0.822900 + 0.568187i \(0.807645\pi\)
\(450\) 1.97747e6 + 2.93797e6i 0.460340 + 0.683937i
\(451\) 2.35358e6 4.07652e6i 0.544864 0.943732i
\(452\) 1.04037e6 + 872973.i 0.239520 + 0.200981i
\(453\) −798173. 1.27875e6i −0.182748 0.292779i
\(454\) −847299. 4.80527e6i −0.192929 1.09415i
\(455\) 772304. 648040.i 0.174888 0.146748i
\(456\) 5.70916e6 + 1.85813e6i 1.28576 + 0.418470i
\(457\) 3.21264e6 1.16931e6i 0.719568 0.261901i 0.0438256 0.999039i \(-0.486045\pi\)
0.675742 + 0.737138i \(0.263823\pi\)
\(458\) −662042. −0.147476
\(459\) 1.24010e6 2.77425e6i 0.274742 0.614631i
\(460\) 260296. 0.0573553
\(461\) −1.19607e6 + 435333.i −0.262122 + 0.0954045i −0.469738 0.882806i \(-0.655652\pi\)
0.207616 + 0.978210i \(0.433429\pi\)
\(462\) −1.16501e6 5.49428e6i −0.253937 1.19758i
\(463\) 5.03211e6 4.22244e6i 1.09093 0.915401i 0.0941501 0.995558i \(-0.469987\pi\)
0.996782 + 0.0801571i \(0.0255422\pi\)
\(464\) −391561. 2.22066e6i −0.0844316 0.478835i
\(465\) 264658. 9111.28i 0.0567613 0.00195410i
\(466\) −2.30932e6 1.93775e6i −0.492629 0.413364i
\(467\) −80021.4 + 138601.i −0.0169791 + 0.0294086i −0.874390 0.485224i \(-0.838738\pi\)
0.857411 + 0.514632i \(0.172072\pi\)
\(468\) −183559. 739323.i −0.0387402 0.156034i
\(469\) −3.87293e6 6.70811e6i −0.813032 1.40821i
\(470\) 247205. 1.40197e6i 0.0516194 0.292748i
\(471\) −3.06423e6 2.39647e6i −0.636456 0.497760i
\(472\) 1.43292e6 + 521541.i 0.296052 + 0.107754i
\(473\) −8.93339e6 3.25149e6i −1.83596 0.668235i
\(474\) −947428. + 6.71724e6i −0.193687 + 1.37324i
\(475\) −988923. + 5.60846e6i −0.201108 + 1.14054i
\(476\) 309202. + 535554.i 0.0625497 + 0.108339i
\(477\) 386723. 3.64482e6i 0.0778224 0.733466i
\(478\) 3.14906e6 5.45432e6i 0.630392 1.09187i
\(479\) 2.47241e6 + 2.07460e6i 0.492359 + 0.413138i 0.854871 0.518841i \(-0.173636\pi\)
−0.362512 + 0.931979i \(0.618081\pi\)
\(480\) 258897. 486335.i 0.0512890 0.0963458i
\(481\) −884578. 5.01669e6i −0.174330 0.988677i
\(482\) 4.06695e6 3.41257e6i 0.797354 0.669059i
\(483\) −3.78816e6 + 3.40749e6i −0.738858 + 0.664610i
\(484\) 952532. 346693.i 0.184827 0.0672716i
\(485\) 2.61201e6 0.504220
\(486\) 3.01454e6 3.57464e6i 0.578936 0.686502i
\(487\) 8.61882e6 1.64674 0.823371 0.567504i \(-0.192091\pi\)
0.823371 + 0.567504i \(0.192091\pi\)
\(488\) −6.21333e6 + 2.26147e6i −1.18107 + 0.429874i
\(489\) 5.04063e6 4.53410e6i 0.953263 0.857470i
\(490\) 81948.4 68762.8i 0.0154188 0.0129379i
\(491\) −242645. 1.37611e6i −0.0454222 0.257602i 0.953637 0.300958i \(-0.0973063\pi\)
−0.999060 + 0.0433555i \(0.986195\pi\)
\(492\) −374766. + 703994.i −0.0697987 + 0.131116i
\(493\) −1.75977e6 1.47662e6i −0.326091 0.273622i
\(494\) −2.55207e6 + 4.42031e6i −0.470516 + 0.814958i
\(495\) −233811. + 2.20364e6i −0.0428896 + 0.404228i
\(496\) −417944. 723900.i −0.0762805 0.132122i
\(497\) −224578. + 1.27364e6i −0.0407827 + 0.231290i
\(498\) −361391. + 2.56225e6i −0.0652986 + 0.462965i
\(499\) −222771. 81082.0i −0.0400504 0.0145772i 0.321917 0.946768i \(-0.395673\pi\)
−0.361968 + 0.932191i \(0.617895\pi\)
\(500\) 558271. + 203194.i 0.0998665 + 0.0363484i
\(501\) −7.98140e6 6.24210e6i −1.42064 1.11106i
\(502\) −591554. + 3.35487e6i −0.104769 + 0.594177i
\(503\) −3.30496e6 5.72435e6i −0.582433 1.00880i −0.995190 0.0979623i \(-0.968768\pi\)
0.412757 0.910841i \(-0.364566\pi\)
\(504\) 1.41402e6 + 5.69525e6i 0.247958 + 0.998703i
\(505\) 143929. 249292.i 0.0251142 0.0434991i
\(506\) 5.82355e6 + 4.88654e6i 1.01114 + 0.848447i
\(507\) −1.79324e6 + 61735.3i −0.309827 + 0.0106663i
\(508\) −76349.9 433002.i −0.0131265 0.0744441i
\(509\) −1.98654e6 + 1.66691e6i −0.339863 + 0.285179i −0.796704 0.604369i \(-0.793425\pi\)
0.456841 + 0.889548i \(0.348981\pi\)
\(510\) 210884. + 994543.i 0.0359019 + 0.169316i
\(511\) 2.60207e6 947076.i 0.440825 0.160447i
\(512\) −6.62815e6 −1.11742
\(513\) 7.47944e6 774926.i 1.25480 0.130007i
\(514\) −5.61827e6 −0.937983
\(515\) 2.20041e6 800883.i 0.365582 0.133061i
\(516\) 1.53164e6 + 498495.i 0.253240 + 0.0824208i
\(517\) −7.64392e6 + 6.41401e6i −1.25774 + 1.05537i
\(518\) 1.10500e6 + 6.26677e6i 0.180941 + 1.02617i
\(519\) 5.26135e6 + 8.42917e6i 0.857391 + 1.37362i
\(520\) 1.20393e6 + 1.01022e6i 0.195250 + 0.163835i
\(521\) −3.96717e6 + 6.87134e6i −0.640304 + 1.10904i 0.345061 + 0.938580i \(0.387858\pi\)
−0.985365 + 0.170459i \(0.945475\pi\)
\(522\) −1.97380e6 2.93253e6i −0.317050 0.471048i
\(523\) 816956. + 1.41501e6i 0.130600 + 0.226207i 0.923908 0.382614i \(-0.124976\pi\)
−0.793308 + 0.608821i \(0.791643\pi\)
\(524\) −113329. + 642718.i −0.0180306 + 0.102257i
\(525\) −5.16192e6 + 2.08259e6i −0.817359 + 0.329765i
\(526\) 2.48870e6 + 905813.i 0.392201 + 0.142749i
\(527\) −800212. 291254.i −0.125510 0.0456820i
\(528\) 6.48678e6 2.61711e6i 1.01261 0.408542i
\(529\) 79922.0 453260.i 0.0124173 0.0704220i
\(530\) 613123. + 1.06196e6i 0.0948108 + 0.164217i
\(531\) 1.90528e6 131341.i 0.293240 0.0202145i
\(532\) −765116. + 1.32522e6i −0.117206 + 0.203006i
\(533\) −3.20288e6 2.68754e6i −0.488341 0.409767i
\(534\) 4.88033e6 + 7.81874e6i 0.740621 + 1.18654i
\(535\) −555995. 3.15320e6i −0.0839820 0.476286i
\(536\) 9.24988e6 7.76157e6i 1.39067 1.16691i
\(537\) −1.93809e6 630783.i −0.290028 0.0943939i
\(538\) 3.59181e6 1.30731e6i 0.535005 0.194726i
\(539\) −749827. −0.111170
\(540\) 26745.0 374503.i 0.00394692 0.0552676i
\(541\) 4.48902e6 0.659414 0.329707 0.944083i \(-0.393050\pi\)
0.329707 + 0.944083i \(0.393050\pi\)
\(542\) 5.03531e6 1.83270e6i 0.736255 0.267975i
\(543\) 127102. + 599421.i 0.0184992 + 0.0872434i
\(544\) −1.35721e6 + 1.13883e6i −0.196630 + 0.164992i
\(545\) 325970. + 1.84867e6i 0.0470095 + 0.266604i
\(546\) −4.98576e6 + 171643.i −0.715731 + 0.0246402i
\(547\) −801412. 672464.i −0.114522 0.0960950i 0.583729 0.811949i \(-0.301593\pi\)
−0.698250 + 0.715854i \(0.746038\pi\)
\(548\) 654949. 1.13441e6i 0.0931657 0.161368i
\(549\) −5.96264e6 + 5.74669e6i −0.844322 + 0.813743i
\(550\) 4.15241e6 + 7.19219e6i 0.585320 + 1.01380i
\(551\) 987089. 5.59806e6i 0.138509 0.785523i
\(552\) −6.25661e6 4.89318e6i −0.873960 0.683507i
\(553\) −1.00191e7 3.64665e6i −1.39321 0.507086i
\(554\) 337338. + 122781.i 0.0466972 + 0.0169964i
\(555\) 350655. 2.48613e6i 0.0483222 0.342604i
\(556\) 127016. 720345.i 0.0174250 0.0988220i
\(557\) 2.06483e6 + 3.57638e6i 0.281998 + 0.488434i 0.971877 0.235490i \(-0.0756696\pi\)
−0.689879 + 0.723925i \(0.742336\pi\)
\(558\) −1.05936e6 771267.i −0.144031 0.104862i
\(559\) −4.22210e6 + 7.31289e6i −0.571477 + 0.989828i
\(560\) −1.20152e6 1.00819e6i −0.161905 0.135854i
\(561\) 3.34858e6 6.29027e6i 0.449214 0.843844i
\(562\) 750611. + 4.25693e6i 0.100248 + 0.568532i
\(563\) 1.03797e7 8.70963e6i 1.38012 1.15805i 0.410946 0.911660i \(-0.365199\pi\)
0.969170 0.246394i \(-0.0792459\pi\)
\(564\) 1.25695e6 1.13064e6i 0.166387 0.149667i
\(565\) −3.29757e6 + 1.20022e6i −0.434583 + 0.158175i
\(566\) −46057.4 −0.00604308
\(567\) 4.51333e6 + 5.80036e6i 0.589575 + 0.757700i
\(568\) −2.01608e6 −0.262203
\(569\) 4.20878e6 1.53187e6i 0.544974 0.198354i −0.0548380 0.998495i \(-0.517464\pi\)
0.599812 + 0.800141i \(0.295242\pi\)
\(570\) −1.87036e6 + 1.68241e6i −0.241122 + 0.216892i
\(571\) −6.94081e6 + 5.82403e6i −0.890882 + 0.747539i −0.968387 0.249453i \(-0.919749\pi\)
0.0775049 + 0.996992i \(0.475305\pi\)
\(572\) −310198. 1.75922e6i −0.0396414 0.224818i
\(573\) 3.53856e6 6.64714e6i 0.450235 0.845762i
\(574\) 4.00099e6 + 3.35723e6i 0.506860 + 0.425306i
\(575\) 3.76705e6 6.52472e6i 0.475151 0.822986i
\(576\) −8.08794e6 + 3.59142e6i −1.01574 + 0.451035i
\(577\) 283566. + 491151.i 0.0354580 + 0.0614151i 0.883210 0.468978i \(-0.155378\pi\)
−0.847752 + 0.530393i \(0.822044\pi\)
\(578\) −684801. + 3.88370e6i −0.0852599 + 0.483533i
\(579\) −1.01667e6 + 7.20814e6i −0.126032 + 0.893566i
\(580\) −266713. 97075.6i −0.0329211 0.0119823i
\(581\) −3.82172e6 1.39099e6i −0.469698 0.170956i
\(582\) −1.01811e7 7.96242e6i −1.24591 0.974401i
\(583\) 1.49253e6 8.46455e6i 0.181866 1.03141i
\(584\) 2.15832e6 + 3.73832e6i 0.261869 + 0.453570i
\(585\) 1.89155e6 + 544414.i 0.228522 + 0.0657717i
\(586\) 3.98168e6 6.89648e6i 0.478986 0.829628i
\(587\) −5.33882e6 4.47980e6i −0.639514 0.536616i 0.264355 0.964425i \(-0.414841\pi\)
−0.903869 + 0.427810i \(0.859285\pi\)
\(588\) 126968. 4371.07i 0.0151443 0.000521368i
\(589\) −365910. 2.07518e6i −0.0434596 0.246472i
\(590\) −489456. + 410702.i −0.0578873 + 0.0485732i
\(591\) 1.48117e6 + 6.98529e6i 0.174435 + 0.822651i
\(592\) −7.44721e6 + 2.71056e6i −0.873352 + 0.317874i
\(593\) 8.17118e6 0.954219 0.477109 0.878844i \(-0.341685\pi\)
0.477109 + 0.878844i \(0.341685\pi\)
\(594\) 7.62890e6 7.87658e6i 0.887147 0.915950i
\(595\) −1.59789e6 −0.185036
\(596\) −397836. + 144801.i −0.0458763 + 0.0166976i
\(597\) −1.01438e7 3.30147e6i −1.16484 0.379116i
\(598\) 5.17268e6 4.34039e6i 0.591511 0.496336i
\(599\) 1.00804e6 + 5.71685e6i 0.114791 + 0.651013i 0.986853 + 0.161618i \(0.0516713\pi\)
−0.872062 + 0.489395i \(0.837218\pi\)
\(600\) −4.59449e6 7.36081e6i −0.521026 0.834733i
\(601\) −2.16692e6 1.81827e6i −0.244713 0.205339i 0.512179 0.858879i \(-0.328839\pi\)
−0.756892 + 0.653540i \(0.773283\pi\)
\(602\) 5.27418e6 9.13515e6i 0.593149 1.02736i
\(603\) 6.64285e6 1.35858e7i 0.743979 1.52157i
\(604\) 299458. + 518676.i 0.0333997 + 0.0578500i
\(605\) −454819. + 2.57941e6i −0.0505185 + 0.286505i
\(606\) −1.32095e6 + 532939.i −0.146118 + 0.0589517i
\(607\) 9.67112e6 + 3.52000e6i 1.06538 + 0.387767i 0.814448 0.580237i \(-0.197040\pi\)
0.250934 + 0.968004i \(0.419262\pi\)
\(608\) −4.11968e6 1.49944e6i −0.451964 0.164502i
\(609\) 5.15235e6 2.07873e6i 0.562940 0.227119i
\(610\) 481096. 2.72843e6i 0.0523489 0.296885i
\(611\) 4.43159e6 + 7.67575e6i 0.480239 + 0.831798i
\(612\) −530343. + 1.08465e6i −0.0572372 + 0.117060i
\(613\) −5.47792e6 + 9.48803e6i −0.588795 + 1.01982i 0.405595 + 0.914053i \(0.367064\pi\)
−0.994391 + 0.105771i \(0.966269\pi\)
\(614\) −455563. 382263.i −0.0487672 0.0409206i
\(615\) −1.09116e6 1.74815e6i −0.116333 0.186376i
\(616\) 2.38956e6 + 1.35519e7i 0.253727 + 1.43896i
\(617\) 878004. 736733.i 0.0928503 0.0779107i −0.595181 0.803592i \(-0.702920\pi\)
0.688031 + 0.725681i \(0.258475\pi\)
\(618\) −1.10182e7 3.58603e6i −1.16048 0.377696i
\(619\) 1.04258e6 379469.i 0.109366 0.0398061i −0.286757 0.958003i \(-0.592577\pi\)
0.396124 + 0.918197i \(0.370355\pi\)
\(620\) −105215. −0.0109925
\(621\) −9.64873e6 2.42088e6i −1.00402 0.251909i
\(622\) −5.58514e6 −0.578840
\(623\) −1.36126e7 + 4.95460e6i −1.40515 + 0.511433i
\(624\) −1.28877e6 6.07791e6i −0.132499 0.624875i
\(625\) 5.69186e6 4.77604e6i 0.582846 0.489066i
\(626\) 2.24131e6 + 1.27111e7i 0.228595 + 1.29643i
\(627\) 1.76228e7 606695.i 1.79022 0.0616314i
\(628\) 1.18398e6 + 993478.i 0.119797 + 0.100522i
\(629\) −4.03691e6 + 6.99214e6i −0.406839 + 0.704666i
\(630\) −2.36289e6 680073.i −0.237188 0.0682659i
\(631\) 5.28002e6 + 9.14525e6i 0.527912 + 0.914371i 0.999471 + 0.0325360i \(0.0103584\pi\)
−0.471558 + 0.881835i \(0.656308\pi\)
\(632\) 2.88619e6 1.63684e7i 0.287430 1.63010i
\(633\) 6.64822e6 + 5.19945e6i 0.659472 + 0.515760i
\(634\) 2.06683e6 + 752266.i 0.204212 + 0.0743273i
\(635\) 1.06758e6 + 388566.i 0.105067 + 0.0382411i
\(636\) −203385. + 1.44200e6i −0.0199378 + 0.141358i
\(637\) −115654. + 655904.i −0.0112930 + 0.0640460i
\(638\) −4.14471e6 7.17885e6i −0.403128 0.698238i
\(639\) −2.30771e6 + 1.02473e6i −0.223578 + 0.0992791i
\(640\) 914829. 1.58453e6i 0.0882856 0.152915i
\(641\) −1.22639e7 1.02906e7i −1.17892 0.989228i −0.999986 0.00536602i \(-0.998292\pi\)
−0.178930 0.983862i \(-0.557264\pi\)
\(642\) −7.44505e6 + 1.39854e7i −0.712902 + 1.33918i
\(643\) −1.33135e6 7.55046e6i −0.126989 0.720188i −0.980107 0.198471i \(-0.936403\pi\)
0.853118 0.521718i \(-0.174709\pi\)
\(644\) 1.55078e6 1.30126e6i 0.147345 0.123637i
\(645\) −3.09429e6 + 2.78335e6i −0.292861 + 0.263432i
\(646\) 7.60189e6 2.76686e6i 0.716705 0.260859i
\(647\) 1.47237e7 1.38279 0.691397 0.722475i \(-0.256996\pi\)
0.691397 + 0.722475i \(0.256996\pi\)
\(648\) −7.68295e6 + 8.49898e6i −0.718771 + 0.795113i
\(649\) 4.47852e6 0.417371
\(650\) 6.93177e6 2.52296e6i 0.643518 0.234221i
\(651\) 1.53122e6 1.37735e6i 0.141607 0.127377i
\(652\) −2.06351e6 + 1.73149e6i −0.190103 + 0.159515i
\(653\) 2.25011e6 + 1.27610e7i 0.206501 + 1.17112i 0.895061 + 0.445944i \(0.147132\pi\)
−0.688560 + 0.725179i \(0.741757\pi\)
\(654\) 4.36490e6 8.19941e6i 0.399052 0.749615i
\(655\) −1.29181e6 1.08396e6i −0.117651 0.0987208i
\(656\) −3.25236e6 + 5.63326e6i −0.295080 + 0.511093i
\(657\) 4.37062e6 + 3.18204e6i 0.395030 + 0.287602i
\(658\) −5.53588e6 9.58842e6i −0.498450 0.863341i
\(659\) −3.44324e6 + 1.95276e7i −0.308855 + 1.75160i 0.295927 + 0.955210i \(0.404371\pi\)
−0.604782 + 0.796391i \(0.706740\pi\)
\(660\) 122965. 871822.i 0.0109881 0.0779055i
\(661\) −6.26872e6 2.28163e6i −0.558053 0.203115i 0.0475680 0.998868i \(-0.484853\pi\)
−0.605621 + 0.795753i \(0.707075\pi\)
\(662\) 3.27345e6 + 1.19144e6i 0.290309 + 0.105664i
\(663\) −4.98587e6 3.89935e6i −0.440511 0.344515i
\(664\) 1.10092e6 6.24363e6i 0.0969027 0.549563i
\(665\) −1.97698e6 3.42423e6i −0.173360 0.300268i
\(666\) −8.94549e6 + 8.62152e6i −0.781482 + 0.753179i
\(667\) −3.76007e6 + 6.51263e6i −0.327251 + 0.566815i
\(668\) 3.08392e6 + 2.58771e6i 0.267400 + 0.224375i
\(669\) 2.01288e7 692969.i 1.73882 0.0598616i
\(670\) 878568. + 4.98261e6i 0.0756116 + 0.428815i
\(671\) −1.48762e7 + 1.24826e7i −1.27551 + 1.07028i
\(672\) −888819. 4.19174e6i −0.0759259 0.358072i
\(673\) −1.50707e6 + 548528.i −0.128261 + 0.0466833i −0.405353 0.914160i \(-0.632851\pi\)
0.277092 + 0.960843i \(0.410629\pi\)
\(674\) −1.18313e7 −1.00319
\(675\) −9.00043e6 6.09027e6i −0.760333 0.514491i
\(676\) 712903. 0.0600017
\(677\) 5.09400e6 1.85406e6i 0.427157 0.155472i −0.119490 0.992835i \(-0.538126\pi\)
0.546647 + 0.837363i \(0.315904\pi\)
\(678\) 1.65120e7 + 5.37409e6i 1.37951 + 0.448984i
\(679\) 1.55617e7 1.30578e7i 1.29534 1.08692i
\(680\) −432544. 2.45308e6i −0.0358722 0.203441i
\(681\) 7.92815e6 + 1.27016e7i 0.655094 + 1.04952i
\(682\) −2.35394e6 1.97519e6i −0.193792 0.162611i
\(683\) 4.03533e6 6.98940e6i 0.331000 0.573308i −0.651708 0.758470i \(-0.725947\pi\)
0.982708 + 0.185161i \(0.0592808\pi\)
\(684\) −2.98052e6 + 205462.i −0.243586 + 0.0167916i
\(685\) 1.69232e6 + 2.93118e6i 0.137802 + 0.238680i
\(686\) 1.98977e6 1.12845e7i 0.161433 0.915533i
\(687\) 1.88398e6 760096.i 0.152295 0.0614436i
\(688\) 1.23449e7 + 4.49316e6i 0.994295 + 0.361894i
\(689\) −7.17408e6 2.61115e6i −0.575729 0.209548i
\(690\) 3.08638e6 1.24521e6i 0.246790 0.0995679i
\(691\) 2.74444e6 1.55645e7i 0.218654 1.24005i −0.655797 0.754937i \(-0.727667\pi\)
0.874451 0.485113i \(-0.161222\pi\)
\(692\) −1.97395e6 3.41897e6i −0.156700 0.271413i
\(693\) 9.62333e6 + 1.42976e7i 0.761188 + 1.13091i
\(694\) −5.07983e6 + 8.79852e6i −0.400360 + 0.693443i
\(695\) 1.44783e6 + 1.21488e6i 0.113699 + 0.0954047i
\(696\) 4.58598e6 + 7.34716e6i 0.358847 + 0.574906i
\(697\) 1.15072e6 + 6.52608e6i 0.0897200 + 0.508827i
\(698\) −2.91772e6 + 2.44826e6i −0.226676 + 0.190204i
\(699\) 8.79642e6 + 2.86293e6i 0.680946 + 0.221624i
\(700\) 2.07816e6 756389.i 0.160300 0.0583445i
\(701\) −2.34265e6 −0.180058 −0.0900291 0.995939i \(-0.528696\pi\)
−0.0900291 + 0.995939i \(0.528696\pi\)
\(702\) −5.71328e6 7.88819e6i −0.437565 0.604136i
\(703\) −1.99786e7 −1.52467
\(704\) −1.95006e7 + 7.09765e6i −1.48292 + 0.539738i
\(705\) 906140. + 4.27342e6i 0.0686630 + 0.323820i
\(706\) −7.19831e6 + 6.04010e6i −0.543524 + 0.456071i
\(707\) −388757. 2.20475e6i −0.0292502 0.165886i
\(708\) −758344. + 26107.2i −0.0568569 + 0.00195739i
\(709\) −7.41609e6 6.22284e6i −0.554063 0.464914i 0.322251 0.946654i \(-0.395561\pi\)
−0.876314 + 0.481740i \(0.840005\pi\)
\(710\) 422378. 731581.i 0.0314453 0.0544649i
\(711\) −5.01602e6 2.02031e7i −0.372122 1.49880i
\(712\) −1.12912e7 1.95569e7i −0.834717 1.44577i
\(713\) −484076. + 2.74533e6i −0.0356607 + 0.202242i
\(714\) 6.22827e6 + 4.87101e6i 0.457216 + 0.357580i
\(715\) 4.33741e6 + 1.57869e6i 0.317296 + 0.115486i
\(716\) 760955. + 276965.i 0.0554723 + 0.0201903i
\(717\) −2.69915e6 + 1.91369e7i −0.196078 + 1.39019i
\(718\) 225698. 1.28000e6i 0.0163387 0.0926613i
\(719\) 1.26143e6 + 2.18486e6i 0.0909998 + 0.157616i 0.907932 0.419117i \(-0.137660\pi\)
−0.816932 + 0.576734i \(0.804327\pi\)
\(720\) 323098. 3.04516e6i 0.0232275 0.218916i
\(721\) 9.10576e6 1.57716e7i 0.652346 1.12990i
\(722\) 5.69891e6 + 4.78195e6i 0.406863 + 0.341399i
\(723\) −7.65536e6 + 1.43805e7i −0.544653 + 1.02312i
\(724\) −42275.3 239755.i −0.00299737 0.0169989i
\(725\) −6.29327e6 + 5.28068e6i −0.444663 + 0.373117i
\(726\) 9.63584e6 8.66754e6i 0.678497 0.610316i
\(727\) −2.46653e7 + 8.97742e6i −1.73081 + 0.629964i −0.998688 0.0512076i \(-0.983693\pi\)
−0.732124 + 0.681172i \(0.761471\pi\)
\(728\) 1.22229e7 0.854766
\(729\) −4.47445e6 + 1.36334e7i −0.311832 + 0.950137i
\(730\) −1.80871e6 −0.125621
\(731\) 1.25764e7 4.57745e6i 0.870492 0.316833i
\(732\) 2.44620e6 2.20038e6i 0.168739 0.151782i
\(733\) 1.12013e7 9.39899e6i 0.770030 0.646132i −0.170686 0.985325i \(-0.554598\pi\)
0.940717 + 0.339193i \(0.110154\pi\)
\(734\) −763970. 4.33269e6i −0.0523403 0.296837i
\(735\) −154254. + 289765.i −0.0105322 + 0.0197846i
\(736\) 4.44294e6 + 3.72807e6i 0.302326 + 0.253682i
\(737\) 1.77317e7 3.07122e7i 1.20249 2.08277i
\(738\) −1.07590e6 + 1.01402e7i −0.0727162 + 0.685340i
\(739\) −6.87128e6 1.19014e7i −0.462835 0.801654i 0.536266 0.844049i \(-0.319835\pi\)
−0.999101 + 0.0423949i \(0.986501\pi\)
\(740\) −173223. + 982399.i −0.0116286 + 0.0659491i
\(741\) 2.18745e6 1.55090e7i 0.146350 1.03762i
\(742\) 8.96174e6 + 3.26181e6i 0.597561 + 0.217495i
\(743\) −1.54238e7 5.61382e6i −1.02499 0.373067i −0.225820 0.974169i \(-0.572506\pi\)
−0.799172 + 0.601103i \(0.794728\pi\)
\(744\) 2.52899e6 + 1.97788e6i 0.167500 + 0.130999i
\(745\) 189961. 1.07732e6i 0.0125393 0.0711138i
\(746\) −2.35820e6 4.08451e6i −0.155143 0.268716i
\(747\) −1.91333e6 7.70635e6i −0.125455 0.505298i
\(748\) −1.41564e6 + 2.45196e6i −0.0925122 + 0.160236i
\(749\) −1.90758e7 1.60065e7i −1.24245 1.04254i
\(750\) 7.59157e6 261352.i 0.492809 0.0169658i
\(751\) −1.73289e6 9.82771e6i −0.112117 0.635847i −0.988137 0.153573i \(-0.950922\pi\)
0.876020 0.482274i \(-0.160189\pi\)
\(752\) 1.05630e7 8.86338e6i 0.681148 0.571551i
\(753\) −2.16836e6 1.02262e7i −0.139362 0.657242i
\(754\) −6.91892e6 + 2.51828e6i −0.443210 + 0.161315i
\(755\) −1.54753e6 −0.0988036
\(756\) −1.71286e6 2.36490e6i −0.108998 0.150490i
\(757\) 1.33937e7 0.849495 0.424747 0.905312i \(-0.360363\pi\)
0.424747 + 0.905312i \(0.360363\pi\)
\(758\) −9.05695e6 + 3.29646e6i −0.572544