Properties

Label 19.7.f.a.3.4
Level $19$
Weight $7$
Character 19.3
Analytic conductor $4.371$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 19 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 19.f (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.37102758878\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 3.4
Character \(\chi\) \(=\) 19.3
Dual form 19.7.f.a.13.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.65924 + 3.16916i) q^{2} +(-16.9615 - 46.6013i) q^{3} +(8.14146 + 46.1725i) q^{4} +(-28.7281 + 162.925i) q^{5} +(192.792 + 70.1705i) q^{6} +(152.866 + 264.772i) q^{7} +(-397.277 - 229.368i) q^{8} +(-1325.54 + 1112.26i) q^{9} +O(q^{10})\) \(q+(-2.65924 + 3.16916i) q^{2} +(-16.9615 - 46.6013i) q^{3} +(8.14146 + 46.1725i) q^{4} +(-28.7281 + 162.925i) q^{5} +(192.792 + 70.1705i) q^{6} +(152.866 + 264.772i) q^{7} +(-397.277 - 229.368i) q^{8} +(-1325.54 + 1112.26i) q^{9} +(-439.942 - 524.303i) q^{10} +(365.927 - 633.805i) q^{11} +(2013.61 - 1162.56i) q^{12} +(-1022.45 + 2809.15i) q^{13} +(-1245.61 - 219.635i) q^{14} +(8079.80 - 1424.69i) q^{15} +(-1036.31 + 377.185i) q^{16} +(-272.979 - 229.057i) q^{17} -7158.63i q^{18} +(-6120.16 - 3096.70i) q^{19} -7756.57 q^{20} +(9745.87 - 11614.7i) q^{21} +(1035.54 + 2845.13i) q^{22} +(858.998 + 4871.62i) q^{23} +(-3950.44 + 22404.0i) q^{24} +(-11036.7 - 4017.02i) q^{25} +(-6183.72 - 10710.5i) q^{26} +(43006.8 + 24830.0i) q^{27} +(-10980.6 + 9213.84i) q^{28} +(-3477.35 - 4144.14i) q^{29} +(-16971.1 + 29394.8i) q^{30} +(19415.1 - 11209.3i) q^{31} +(11601.8 - 31875.8i) q^{32} +(-35742.8 - 6302.41i) q^{33} +(1451.84 - 255.998i) q^{34} +(-47529.6 + 17299.4i) q^{35} +(-62147.7 - 52148.1i) q^{36} +88423.0i q^{37} +(26089.0 - 11160.9i) q^{38} +148252. q^{39} +(48782.9 - 58137.2i) q^{40} +(-19227.1 - 52826.0i) q^{41} +(10892.2 + 61772.5i) q^{42} +(-17705.6 + 100413. i) q^{43} +(32243.5 + 11735.7i) q^{44} +(-143135. - 247917. i) q^{45} +(-17723.3 - 10232.5i) q^{46} +(37736.3 - 31664.5i) q^{47} +(35154.6 + 41895.6i) q^{48} +(12088.4 - 20937.7i) q^{49} +(42079.8 - 24294.8i) q^{50} +(-6044.20 + 16606.3i) q^{51} +(-138030. - 24338.4i) q^{52} +(196736. - 34689.9i) q^{53} +(-193056. + 70266.6i) q^{54} +(92750.5 + 77826.9i) q^{55} -140250. i q^{56} +(-40503.4 + 337732. i) q^{57} +22380.6 q^{58} +(64491.7 - 76858.2i) q^{59} +(131563. + 361466. i) q^{60} +(30499.6 + 172972. i) q^{61} +(-16105.3 + 91337.9i) q^{62} +(-497125. - 180939. i) q^{63} +(34877.4 + 60409.5i) q^{64} +(-428309. - 247284. i) q^{65} +(115022. - 96515.0i) q^{66} +(163345. + 194668. i) q^{67} +(8353.68 - 14469.0i) q^{68} +(212454. - 122660. i) q^{69} +(71568.3 - 196632. i) q^{70} +(-570574. - 100608. i) q^{71} +(781724. - 137839. i) q^{72} +(282798. - 102930. i) q^{73} +(-280227. - 235138. i) q^{74} +582458. i q^{75} +(93155.6 - 307795. i) q^{76} +223751. q^{77} +(-394239. + 469835. i) q^{78} +(-8973.56 - 24654.7i) q^{79} +(-31681.8 - 179676. i) q^{80} +(208603. - 1.18305e6i) q^{81} +(218544. + 79543.5i) q^{82} +(2933.54 + 5081.05i) q^{83} +(615625. + 355431. i) q^{84} +(45161.3 - 37894.9i) q^{85} +(-271143. - 323135. i) q^{86} +(-134141. + 232340. i) q^{87} +(-290749. + 167864. i) q^{88} +(-249630. + 685854. i) q^{89} +(1.16632e6 + 205654. i) q^{90} +(-900081. + 158709. i) q^{91} +(-217942. + 79324.2i) q^{92} +(-851677. - 714642. i) q^{93} +203796. i q^{94} +(680352. - 908166. i) q^{95} -1.68224e6 q^{96} +(-276700. + 329758. i) q^{97} +(34209.1 + 93988.8i) q^{98} +(219904. + 1.24714e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} + O(q^{10}) \) \( 54 q - 6 q^{2} - 36 q^{3} + 192 q^{4} - 6 q^{5} + 720 q^{6} - 219 q^{7} - 9 q^{8} - 2076 q^{9} - 1689 q^{10} + 1677 q^{11} - 9 q^{12} - 10506 q^{13} + 6105 q^{14} + 24138 q^{15} + 23760 q^{16} - 3438 q^{17} - 30918 q^{19} - 76650 q^{20} - 59055 q^{21} + 20490 q^{22} + 42498 q^{23} + 31848 q^{24} + 7914 q^{25} + 109989 q^{26} + 124821 q^{27} - 109476 q^{28} - 27726 q^{29} - 153516 q^{30} - 30789 q^{31} - 114375 q^{32} + 126039 q^{33} + 359796 q^{34} + 160161 q^{35} + 184995 q^{36} - 245244 q^{38} - 390564 q^{39} - 372678 q^{40} - 24708 q^{41} - 244893 q^{42} - 30726 q^{43} - 301419 q^{44} + 293037 q^{45} + 69246 q^{46} - 71454 q^{47} + 1024041 q^{48} - 350346 q^{49} - 104148 q^{50} - 180672 q^{51} + 921801 q^{52} + 822558 q^{53} + 308469 q^{54} + 623517 q^{55} - 17862 q^{57} - 1150644 q^{58} - 463812 q^{59} - 908130 q^{60} - 583698 q^{61} - 429732 q^{62} - 2576043 q^{63} - 328293 q^{64} - 1056789 q^{65} - 1038756 q^{66} + 1120464 q^{67} + 717270 q^{68} + 3771567 q^{69} + 4845345 q^{70} + 94494 q^{71} + 2351634 q^{72} + 950850 q^{73} + 55149 q^{74} - 218814 q^{76} - 343086 q^{77} + 1833471 q^{78} - 4936494 q^{79} - 9642039 q^{80} - 769551 q^{81} - 8627793 q^{82} - 412131 q^{83} - 3125205 q^{84} - 896910 q^{85} + 8878236 q^{86} + 610737 q^{87} + 13604751 q^{88} + 6653022 q^{89} + 3142734 q^{90} + 3409821 q^{91} - 3043740 q^{92} - 816393 q^{93} + 4839186 q^{95} - 5667138 q^{96} - 853656 q^{97} - 17679315 q^{98} - 13991937 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.65924 + 3.16916i −0.332406 + 0.396146i −0.906197 0.422856i \(-0.861028\pi\)
0.573791 + 0.819002i \(0.305472\pi\)
\(3\) −16.9615 46.6013i −0.628203 1.72597i −0.685957 0.727642i \(-0.740616\pi\)
0.0577544 0.998331i \(-0.481606\pi\)
\(4\) 8.14146 + 46.1725i 0.127210 + 0.721446i
\(5\) −28.7281 + 162.925i −0.229825 + 1.30340i 0.623418 + 0.781889i \(0.285744\pi\)
−0.853243 + 0.521514i \(0.825367\pi\)
\(6\) 192.792 + 70.1705i 0.892555 + 0.324863i
\(7\) 152.866 + 264.772i 0.445674 + 0.771930i 0.998099 0.0616329i \(-0.0196308\pi\)
−0.552425 + 0.833563i \(0.686297\pi\)
\(8\) −397.277 229.368i −0.775932 0.447984i
\(9\) −1325.54 + 1112.26i −1.81830 + 1.52573i
\(10\) −439.942 524.303i −0.439942 0.524303i
\(11\) 365.927 633.805i 0.274927 0.476187i −0.695190 0.718826i \(-0.744680\pi\)
0.970117 + 0.242639i \(0.0780131\pi\)
\(12\) 2013.61 1162.56i 1.16528 0.672776i
\(13\) −1022.45 + 2809.15i −0.465383 + 1.27863i 0.456002 + 0.889979i \(0.349281\pi\)
−0.921385 + 0.388651i \(0.872941\pi\)
\(14\) −1245.61 219.635i −0.453941 0.0800420i
\(15\) 8079.80 1424.69i 2.39402 0.422129i
\(16\) −1036.31 + 377.185i −0.253004 + 0.0920861i
\(17\) −272.979 229.057i −0.0555626 0.0466226i 0.614583 0.788852i \(-0.289324\pi\)
−0.670146 + 0.742229i \(0.733769\pi\)
\(18\) 7158.63i 1.22747i
\(19\) −6120.16 3096.70i −0.892281 0.451480i
\(20\) −7756.57 −0.969571
\(21\) 9745.87 11614.7i 1.05236 1.25415i
\(22\) 1035.54 + 2845.13i 0.0972521 + 0.267198i
\(23\) 858.998 + 4871.62i 0.0706006 + 0.400396i 0.999545 + 0.0301758i \(0.00960671\pi\)
−0.928944 + 0.370220i \(0.879282\pi\)
\(24\) −3950.44 + 22404.0i −0.285766 + 1.62066i
\(25\) −11036.7 4017.02i −0.706347 0.257089i
\(26\) −6183.72 10710.5i −0.351827 0.609383i
\(27\) 43006.8 + 24830.0i 2.18497 + 1.26149i
\(28\) −10980.6 + 9213.84i −0.500211 + 0.419727i
\(29\) −3477.35 4144.14i −0.142579 0.169918i 0.690029 0.723781i \(-0.257598\pi\)
−0.832608 + 0.553863i \(0.813153\pi\)
\(30\) −16971.1 + 29394.8i −0.628559 + 1.08870i
\(31\) 19415.1 11209.3i 0.651710 0.376265i −0.137401 0.990516i \(-0.543875\pi\)
0.789111 + 0.614250i \(0.210542\pi\)
\(32\) 11601.8 31875.8i 0.354060 0.972772i
\(33\) −35742.8 6302.41i −0.994595 0.175374i
\(34\) 1451.84 255.998i 0.0369386 0.00651328i
\(35\) −47529.6 + 17299.4i −1.10856 + 0.403484i
\(36\) −62147.7 52148.1i −1.33204 1.11771i
\(37\) 88423.0i 1.74566i 0.488023 + 0.872831i \(0.337718\pi\)
−0.488023 + 0.872831i \(0.662282\pi\)
\(38\) 26089.0 11160.9i 0.475451 0.203399i
\(39\) 148252. 2.49923
\(40\) 48782.9 58137.2i 0.762233 0.908394i
\(41\) −19227.1 52826.0i −0.278973 0.766472i −0.997480 0.0709521i \(-0.977396\pi\)
0.718507 0.695520i \(-0.244826\pi\)
\(42\) 10892.2 + 61772.5i 0.147017 + 0.833772i
\(43\) −17705.6 + 100413.i −0.222692 + 1.26295i 0.644357 + 0.764725i \(0.277125\pi\)
−0.867049 + 0.498224i \(0.833986\pi\)
\(44\) 32243.5 + 11735.7i 0.378516 + 0.137769i
\(45\) −143135. 247917.i −1.57076 2.72063i
\(46\) −17723.3 10232.5i −0.182083 0.105126i
\(47\) 37736.3 31664.5i 0.363467 0.304985i −0.442704 0.896668i \(-0.645981\pi\)
0.806171 + 0.591683i \(0.201536\pi\)
\(48\) 35154.6 + 41895.6i 0.317876 + 0.378830i
\(49\) 12088.4 20937.7i 0.102750 0.177968i
\(50\) 42079.8 24294.8i 0.336639 0.194358i
\(51\) −6044.20 + 16606.3i −0.0455647 + 0.125188i
\(52\) −138030. 24338.4i −0.981663 0.173094i
\(53\) 196736. 34689.9i 1.32147 0.233010i 0.531969 0.846764i \(-0.321452\pi\)
0.789498 + 0.613753i \(0.210341\pi\)
\(54\) −193056. + 70266.6i −1.22603 + 0.446239i
\(55\) 92750.5 + 77826.9i 0.557478 + 0.467780i
\(56\) 140250.i 0.798620i
\(57\) −40503.4 + 337732.i −0.218709 + 1.82367i
\(58\) 22380.6 0.114706
\(59\) 64491.7 76858.2i 0.314013 0.374226i −0.585834 0.810431i \(-0.699233\pi\)
0.899848 + 0.436205i \(0.143678\pi\)
\(60\) 131563. + 361466.i 0.609087 + 1.67345i
\(61\) 30499.6 + 172972.i 0.134371 + 0.762055i 0.975296 + 0.220903i \(0.0709005\pi\)
−0.840925 + 0.541152i \(0.817988\pi\)
\(62\) −16105.3 + 91337.9i −0.0675764 + 0.383245i
\(63\) −497125. 180939.i −1.98813 0.723619i
\(64\) 34877.4 + 60409.5i 0.133047 + 0.230444i
\(65\) −428309. 247284.i −1.55961 0.900443i
\(66\) 115022. 96515.0i 0.400083 0.335709i
\(67\) 163345. + 194668.i 0.543104 + 0.647246i 0.965881 0.258988i \(-0.0833890\pi\)
−0.422777 + 0.906234i \(0.638945\pi\)
\(68\) 8353.68 14469.0i 0.0265675 0.0460163i
\(69\) 212454. 122660.i 0.646721 0.373385i
\(70\) 71568.3 196632.i 0.208654 0.573272i
\(71\) −570574. 100608.i −1.59418 0.281097i −0.695109 0.718904i \(-0.744644\pi\)
−0.899069 + 0.437808i \(0.855755\pi\)
\(72\) 781724. 137839.i 2.09438 0.369296i
\(73\) 282798. 102930.i 0.726955 0.264590i 0.0480796 0.998844i \(-0.484690\pi\)
0.678875 + 0.734254i \(0.262468\pi\)
\(74\) −280227. 235138.i −0.691536 0.580268i
\(75\) 582458.i 1.38064i
\(76\) 93155.6 307795.i 0.212211 0.701165i
\(77\) 223751. 0.490110
\(78\) −394239. + 469835.i −0.830759 + 0.990061i
\(79\) −8973.56 24654.7i −0.0182005 0.0500055i 0.930260 0.366902i \(-0.119582\pi\)
−0.948460 + 0.316896i \(0.897359\pi\)
\(80\) −31681.8 179676.i −0.0618785 0.350930i
\(81\) 208603. 1.18305e6i 0.392524 2.22611i
\(82\) 218544. + 79543.5i 0.396367 + 0.144266i
\(83\) 2933.54 + 5081.05i 0.00513048 + 0.00888626i 0.868579 0.495550i \(-0.165034\pi\)
−0.863449 + 0.504437i \(0.831700\pi\)
\(84\) 615625. + 355431.i 1.03867 + 0.599677i
\(85\) 45161.3 37894.9i 0.0735377 0.0617054i
\(86\) −271143. 323135.i −0.426288 0.508030i
\(87\) −134141. + 232340.i −0.203706 + 0.352830i
\(88\) −290749. + 167864.i −0.426649 + 0.246326i
\(89\) −249630. + 685854.i −0.354101 + 0.972885i 0.626937 + 0.779070i \(0.284308\pi\)
−0.981038 + 0.193815i \(0.937914\pi\)
\(90\) 1.16632e6 + 205654.i 1.59989 + 0.282104i
\(91\) −900081. + 158709.i −1.19442 + 0.210609i
\(92\) −217942. + 79324.2i −0.279883 + 0.101869i
\(93\) −851677. 714642.i −1.05883 0.888463i
\(94\) 203796.i 0.245365i
\(95\) 680352. 908166.i 0.793529 1.05924i
\(96\) −1.68224e6 −1.90140
\(97\) −276700. + 329758.i −0.303175 + 0.361310i −0.896026 0.444002i \(-0.853558\pi\)
0.592850 + 0.805313i \(0.298003\pi\)
\(98\) 34209.1 + 93988.8i 0.0363466 + 0.0998614i
\(99\) 219904. + 1.24714e6i 0.226636 + 1.28531i
\(100\) 95621.4 542296.i 0.0956214 0.542296i
\(101\) 697710. + 253946.i 0.677190 + 0.246477i 0.657641 0.753332i \(-0.271555\pi\)
0.0195495 + 0.999809i \(0.493777\pi\)
\(102\) −36555.1 63315.3i −0.0344467 0.0596634i
\(103\) −162099. 93587.6i −0.148343 0.0856460i 0.423991 0.905666i \(-0.360629\pi\)
−0.572334 + 0.820020i \(0.693962\pi\)
\(104\) 1.05052e6 881494.i 0.933912 0.783645i
\(105\) 1.61234e6 + 1.92152e6i 1.39280 + 1.65988i
\(106\) −413231. + 715738.i −0.346957 + 0.600947i
\(107\) −1.00270e6 + 578910.i −0.818503 + 0.472563i −0.849900 0.526944i \(-0.823338\pi\)
0.0313972 + 0.999507i \(0.490004\pi\)
\(108\) −796325. + 2.18788e6i −0.632148 + 1.73681i
\(109\) 322921. + 56939.7i 0.249354 + 0.0439679i 0.296928 0.954900i \(-0.404038\pi\)
−0.0475739 + 0.998868i \(0.515149\pi\)
\(110\) −493292. + 86980.7i −0.370618 + 0.0653499i
\(111\) 4.12062e6 1.49978e6i 3.01296 1.09663i
\(112\) −258284. 216726.i −0.183841 0.154261i
\(113\) 569397.i 0.394621i −0.980341 0.197310i \(-0.936779\pi\)
0.980341 0.197310i \(-0.0632207\pi\)
\(114\) −962619. 1.02647e6i −0.649740 0.692840i
\(115\) −818388. −0.538103
\(116\) 163035. 194297.i 0.104449 0.124478i
\(117\) −1.76921e6 4.86087e6i −1.10464 3.03498i
\(118\) 72077.1 + 408770.i 0.0438683 + 0.248790i
\(119\) 18918.5 107292.i 0.0112265 0.0636689i
\(120\) −3.53670e6 1.28725e6i −2.04670 0.744938i
\(121\) 617975. + 1.07036e6i 0.348831 + 0.604193i
\(122\) −629283. 363317.i −0.346550 0.200081i
\(123\) −2.13564e6 + 1.79201e6i −1.14766 + 0.963000i
\(124\) 675630. + 805184.i 0.354359 + 0.422309i
\(125\) −320952. + 555906.i −0.164328 + 0.284624i
\(126\) 1.89540e6 1.09431e6i 0.947523 0.547053i
\(127\) 375358. 1.03129e6i 0.183246 0.503464i −0.813724 0.581252i \(-0.802563\pi\)
0.996970 + 0.0777871i \(0.0247854\pi\)
\(128\) 1.85380e6 + 326875.i 0.883960 + 0.155866i
\(129\) 4.97970e6 878055.i 2.31971 0.409028i
\(130\) 1.92266e6 699792.i 0.875130 0.318521i
\(131\) 2.67942e6 + 2.24830e6i 1.19187 + 1.00009i 0.999825 + 0.0187081i \(0.00595531\pi\)
0.192042 + 0.981387i \(0.438489\pi\)
\(132\) 1.70164e6i 0.739856i
\(133\) −115644. 2.09383e6i −0.0491552 0.889991i
\(134\) −1.05131e6 −0.436934
\(135\) −5.28094e6 + 6.29358e6i −2.14640 + 2.55797i
\(136\) 55910.1 + 153612.i 0.0222266 + 0.0610671i
\(137\) 96131.8 + 545191.i 0.0373857 + 0.212025i 0.997778 0.0666267i \(-0.0212237\pi\)
−0.960392 + 0.278652i \(0.910113\pi\)
\(138\) −176236. + 999485.i −0.0670591 + 0.380311i
\(139\) 577485. + 210187.i 0.215029 + 0.0782640i 0.447288 0.894390i \(-0.352390\pi\)
−0.232260 + 0.972654i \(0.574612\pi\)
\(140\) −1.18572e6 2.05372e6i −0.432112 0.748440i
\(141\) −2.11567e6 1.22148e6i −0.754727 0.435742i
\(142\) 1.83614e6 1.54070e6i 0.641269 0.538088i
\(143\) 1.40631e6 + 1.67598e6i 0.480920 + 0.573138i
\(144\) 954138. 1.65262e6i 0.319539 0.553457i
\(145\) 775084. 447495.i 0.254240 0.146786i
\(146\) −425827. + 1.16995e6i −0.136828 + 0.375931i
\(147\) −1.18076e6 208200.i −0.371715 0.0655435i
\(148\) −4.08271e6 + 719893.i −1.25940 + 0.222066i
\(149\) −4.13811e6 + 1.50615e6i −1.25096 + 0.455312i −0.880726 0.473627i \(-0.842944\pi\)
−0.370233 + 0.928939i \(0.620722\pi\)
\(150\) −1.84590e6 1.54890e6i −0.546935 0.458933i
\(151\) 145439.i 0.0422426i −0.999777 0.0211213i \(-0.993276\pi\)
0.999777 0.0211213i \(-0.00672362\pi\)
\(152\) 1.72111e6 + 2.63402e6i 0.490093 + 0.750046i
\(153\) 616615. 0.172163
\(154\) −595010. + 709105.i −0.162915 + 0.194155i
\(155\) 1.26852e6 + 3.48523e6i 0.340646 + 0.935916i
\(156\) 1.20699e6 + 6.84517e6i 0.317928 + 1.80306i
\(157\) 848715. 4.81330e6i 0.219312 1.24378i −0.653953 0.756535i \(-0.726890\pi\)
0.873265 0.487246i \(-0.161998\pi\)
\(158\) 101998. + 37124.1i 0.0258594 + 0.00941206i
\(159\) −4.95353e6 8.57976e6i −1.23232 2.13444i
\(160\) 4.86008e6 + 2.80597e6i 1.18654 + 0.685050i
\(161\) −1.15856e6 + 972144.i −0.277613 + 0.232945i
\(162\) 3.19455e6 + 3.80711e6i 0.751388 + 0.895469i
\(163\) −3.83655e6 + 6.64511e6i −0.885887 + 1.53440i −0.0411942 + 0.999151i \(0.513116\pi\)
−0.844693 + 0.535251i \(0.820217\pi\)
\(164\) 2.28257e6 1.31784e6i 0.517480 0.298767i
\(165\) 2.05365e6 5.64235e6i 0.457166 1.25605i
\(166\) −23903.7 4214.86i −0.00522565 0.000921424i
\(167\) 8.35976e6 1.47405e6i 1.79492 0.316492i 0.825961 0.563727i \(-0.190633\pi\)
0.968956 + 0.247235i \(0.0795219\pi\)
\(168\) −6.53585e6 + 2.37885e6i −1.37840 + 0.501695i
\(169\) −3.14837e6 2.64180e6i −0.652267 0.547317i
\(170\) 243895.i 0.0496429i
\(171\) 1.15569e7 2.70240e6i 2.31127 0.540457i
\(172\) −4.78048e6 −0.939478
\(173\) −2.92203e6 + 3.48234e6i −0.564348 + 0.672563i −0.970461 0.241260i \(-0.922439\pi\)
0.406113 + 0.913823i \(0.366884\pi\)
\(174\) −379608. 1.04296e6i −0.0720588 0.197980i
\(175\) −623540. 3.53627e6i −0.116346 0.659828i
\(176\) −140151. + 794838.i −0.0257075 + 0.145794i
\(177\) −4.67556e6 1.70177e6i −0.843168 0.306888i
\(178\) −1.50975e6 2.61497e6i −0.267699 0.463668i
\(179\) −416092. 240231.i −0.0725488 0.0418861i 0.463287 0.886208i \(-0.346670\pi\)
−0.535836 + 0.844322i \(0.680003\pi\)
\(180\) 1.02816e7 8.62732e6i 1.76297 1.47931i
\(181\) −3.29910e6 3.93172e6i −0.556365 0.663050i 0.412408 0.910999i \(-0.364688\pi\)
−0.968773 + 0.247949i \(0.920243\pi\)
\(182\) 1.89056e6 3.27455e6i 0.313600 0.543172i
\(183\) 7.54340e6 4.35518e6i 1.23087 0.710646i
\(184\) 776134. 2.13241e6i 0.124590 0.342308i
\(185\) −1.44064e7 2.54023e6i −2.27530 0.401197i
\(186\) 4.52963e6 798697.i 0.703922 0.124120i
\(187\) −245068. + 89197.3i −0.0374767 + 0.0136404i
\(188\) 1.76926e6 + 1.48458e6i 0.266267 + 0.223425i
\(189\) 1.51826e7i 2.24886i
\(190\) 1.06890e6 + 4.57118e6i 0.155840 + 0.666451i
\(191\) 186490. 0.0267642 0.0133821 0.999910i \(-0.495740\pi\)
0.0133821 + 0.999910i \(0.495740\pi\)
\(192\) 2.22359e6 2.64997e6i 0.314160 0.374401i
\(193\) −2.41620e6 6.63846e6i −0.336094 0.923412i −0.986491 0.163817i \(-0.947619\pi\)
0.650396 0.759595i \(-0.274603\pi\)
\(194\) −309245. 1.75382e6i −0.0423543 0.240203i
\(195\) −4.25901e6 + 2.41540e7i −0.574387 + 3.25751i
\(196\) 1.06517e6 + 387689.i 0.141465 + 0.0514891i
\(197\) 3.83452e6 + 6.64159e6i 0.501548 + 0.868707i 0.999998 + 0.00178846i \(0.000569286\pi\)
−0.498450 + 0.866918i \(0.666097\pi\)
\(198\) −4.53717e6 2.61954e6i −0.584507 0.337465i
\(199\) −5.30232e6 + 4.44917e6i −0.672831 + 0.564573i −0.913902 0.405935i \(-0.866946\pi\)
0.241070 + 0.970508i \(0.422502\pi\)
\(200\) 3.46324e6 + 4.12733e6i 0.432905 + 0.515917i
\(201\) 6.30117e6 1.09140e7i 0.775949 1.34398i
\(202\) −2.66018e6 + 1.53585e6i −0.322743 + 0.186335i
\(203\) 565683. 1.55420e6i 0.0676216 0.185789i
\(204\) −815964. 143876.i −0.0961126 0.0169472i
\(205\) 9.15906e6 1.61499e6i 1.06314 0.187460i
\(206\) 727654. 264845.i 0.0832384 0.0302963i
\(207\) −6.55714e6 5.50210e6i −0.739271 0.620322i
\(208\) 3.29679e6i 0.366354i
\(209\) −4.20224e6 + 2.74581e6i −0.460301 + 0.300769i
\(210\) −1.03772e7 −1.12053
\(211\) 1.95535e6 2.33030e6i 0.208151 0.248064i −0.651861 0.758338i \(-0.726012\pi\)
0.860012 + 0.510274i \(0.170456\pi\)
\(212\) 3.20344e6 + 8.80138e6i 0.336209 + 0.923726i
\(213\) 4.98933e6 + 2.82959e7i 0.516302 + 2.92809i
\(214\) 831767. 4.71719e6i 0.0848712 0.481329i
\(215\) −1.58512e7 5.76937e6i −1.59495 0.580515i
\(216\) −1.13904e7 1.97288e7i −1.13026 1.95767i
\(217\) 5.93582e6 + 3.42705e6i 0.580900 + 0.335383i
\(218\) −1.03918e6 + 871973.i −0.100304 + 0.0841654i
\(219\) −9.59333e6 1.14329e7i −0.913350 1.08849i
\(220\) −2.83834e6 + 4.91615e6i −0.266561 + 0.461697i
\(221\) 922561. 532641.i 0.0854709 0.0493466i
\(222\) −6.20468e6 + 1.70472e7i −0.567101 + 1.55810i
\(223\) 1.49512e7 + 2.63630e6i 1.34822 + 0.237728i 0.800701 0.599064i \(-0.204460\pi\)
0.547521 + 0.836792i \(0.315571\pi\)
\(224\) 1.02133e7 1.80089e6i 0.908707 0.160229i
\(225\) 1.90975e7 6.95093e6i 1.67660 0.610233i
\(226\) 1.80451e6 + 1.51417e6i 0.156327 + 0.131174i
\(227\) 8.86950e6i 0.758266i −0.925342 0.379133i \(-0.876222\pi\)
0.925342 0.379133i \(-0.123778\pi\)
\(228\) −1.59237e7 + 879484.i −1.34350 + 0.0742033i
\(229\) 1.24492e7 1.03665 0.518326 0.855183i \(-0.326555\pi\)
0.518326 + 0.855183i \(0.326555\pi\)
\(230\) 2.17629e6 2.59361e6i 0.178869 0.213167i
\(231\) −3.79515e6 1.04271e7i −0.307889 0.845917i
\(232\) 430937. + 2.44396e6i 0.0345104 + 0.195718i
\(233\) 1.61909e6 9.18230e6i 0.127998 0.725912i −0.851484 0.524380i \(-0.824297\pi\)
0.979482 0.201532i \(-0.0645919\pi\)
\(234\) 2.01096e7 + 7.31931e6i 1.56948 + 0.571245i
\(235\) 4.07486e6 + 7.05786e6i 0.313985 + 0.543838i
\(236\) 4.07379e6 + 2.35201e6i 0.309930 + 0.178938i
\(237\) −996734. + 836359.i −0.0748745 + 0.0628272i
\(238\) 289718. + 345272.i 0.0214904 + 0.0256112i
\(239\) 61942.3 107287.i 0.00453726 0.00785877i −0.863748 0.503924i \(-0.831889\pi\)
0.868285 + 0.496065i \(0.165222\pi\)
\(240\) −7.83578e6 + 4.52399e6i −0.566824 + 0.327256i
\(241\) 1.93710e6 5.32213e6i 0.138389 0.380220i −0.851067 0.525057i \(-0.824044\pi\)
0.989455 + 0.144838i \(0.0462660\pi\)
\(242\) −5.03551e6 887896.i −0.355302 0.0626492i
\(243\) −2.30176e7 + 4.05863e6i −1.60414 + 0.282853i
\(244\) −7.73824e6 + 2.81649e6i −0.532688 + 0.193883i
\(245\) 3.06401e6 + 2.57101e6i 0.208349 + 0.174826i
\(246\) 1.15336e7i 0.774746i
\(247\) 1.49566e7 1.40262e7i 0.992528 0.930786i
\(248\) −1.02842e7 −0.674243
\(249\) 187026. 222889.i 0.0121145 0.0144374i
\(250\) −908266. 2.49544e6i −0.0581290 0.159708i
\(251\) −4.41082e6 2.50150e7i −0.278932 1.58190i −0.726188 0.687496i \(-0.758710\pi\)
0.447256 0.894406i \(-0.352401\pi\)
\(252\) 4.30708e6 2.44266e7i 0.269142 1.52638i
\(253\) 3.40199e6 + 1.23822e6i 0.210073 + 0.0764604i
\(254\) 2.27015e6 + 3.93202e6i 0.138533 + 0.239947i
\(255\) −2.53195e6 1.46182e6i −0.152698 0.0881605i
\(256\) −9.38549e6 + 7.87536e6i −0.559419 + 0.469408i
\(257\) 7.68199e6 + 9.15504e6i 0.452558 + 0.539338i 0.943289 0.331974i \(-0.107714\pi\)
−0.490731 + 0.871311i \(0.663270\pi\)
\(258\) −1.04595e7 + 1.81164e7i −0.609050 + 1.05491i
\(259\) −2.34119e7 + 1.35169e7i −1.34753 + 0.777996i
\(260\) 7.93067e6 2.17893e7i 0.451222 1.23972i
\(261\) 9.21873e6 + 1.62551e6i 0.518501 + 0.0914257i
\(262\) −1.42505e7 + 2.51275e6i −0.792366 + 0.139716i
\(263\) 1.02849e7 3.74339e6i 0.565369 0.205778i −0.0434926 0.999054i \(-0.513849\pi\)
0.608862 + 0.793276i \(0.291626\pi\)
\(264\) 1.27542e7 + 1.07021e7i 0.693173 + 0.581641i
\(265\) 3.30499e7i 1.77596i
\(266\) 6.94321e6 + 5.20150e6i 0.368905 + 0.276365i
\(267\) 3.61957e7 1.90162
\(268\) −7.65842e6 + 9.12695e6i −0.397864 + 0.474156i
\(269\) −5.10120e6 1.40154e7i −0.262069 0.720028i −0.999028 0.0440902i \(-0.985961\pi\)
0.736959 0.675938i \(-0.236261\pi\)
\(270\) −5.90207e6 3.34723e7i −0.299856 1.70057i
\(271\) 3.37105e6 1.91182e7i 0.169378 0.960591i −0.775057 0.631892i \(-0.782279\pi\)
0.944435 0.328699i \(-0.106610\pi\)
\(272\) 369287. + 134409.i 0.0183509 + 0.00667917i
\(273\) 2.26627e7 + 3.92530e7i 1.11384 + 1.92923i
\(274\) −1.98344e6 1.14514e6i −0.0964199 0.0556681i
\(275\) −6.58463e6 + 5.52516e6i −0.316616 + 0.265673i
\(276\) 7.39322e6 + 8.81089e6i 0.351646 + 0.419076i
\(277\) −1.73695e7 + 3.00848e7i −0.817236 + 1.41549i 0.0904758 + 0.995899i \(0.471161\pi\)
−0.907711 + 0.419595i \(0.862172\pi\)
\(278\) −2.20179e6 + 1.27120e6i −0.102481 + 0.0591672i
\(279\) −1.32678e7 + 3.64530e7i −0.610924 + 1.67850i
\(280\) 2.28503e7 + 4.02913e6i 1.04092 + 0.183543i
\(281\) −2.66668e7 + 4.70208e6i −1.20186 + 0.211920i −0.738501 0.674253i \(-0.764466\pi\)
−0.463356 + 0.886172i \(0.653355\pi\)
\(282\) 9.49715e6 3.45668e6i 0.423493 0.154139i
\(283\) −1.93949e7 1.62742e7i −0.855712 0.718027i 0.105328 0.994438i \(-0.466411\pi\)
−0.961040 + 0.276410i \(0.910855\pi\)
\(284\) 2.71639e7i 1.18587i
\(285\) −5.38615e7 1.63014e7i −2.32672 0.704193i
\(286\) −9.05116e6 −0.386907
\(287\) 1.10477e7 1.31661e7i 0.467332 0.556944i
\(288\) 2.00755e7 + 5.51569e7i 0.840404 + 2.30899i
\(289\) −4.16939e6 2.36458e7i −0.172735 0.979627i
\(290\) −642953. + 3.64636e6i −0.0263624 + 0.149509i
\(291\) 2.00604e7 + 7.30139e6i 0.814068 + 0.296296i
\(292\) 7.05493e6 + 1.22195e7i 0.283363 + 0.490800i
\(293\) −1.29027e7 7.44937e6i −0.512953 0.296153i 0.221094 0.975253i \(-0.429037\pi\)
−0.734047 + 0.679099i \(0.762371\pi\)
\(294\) 3.79976e6 3.18838e6i 0.149525 0.125466i
\(295\) 1.06694e7 + 1.27153e7i 0.415599 + 0.495292i
\(296\) 2.02814e7 3.51284e7i 0.782029 1.35451i
\(297\) 3.14747e7 1.81719e7i 1.20141 0.693636i
\(298\) 6.23101e6 1.71196e7i 0.235456 0.646910i
\(299\) −1.45634e7 2.56792e6i −0.544815 0.0960655i
\(300\) −2.68936e7 + 4.74206e6i −0.996057 + 0.175632i
\(301\) −2.92932e7 + 1.06618e7i −1.07416 + 0.390961i
\(302\) 460921. + 386759.i 0.0167342 + 0.0140417i
\(303\) 3.68214e7i 1.32365i
\(304\) 7.51038e6 + 900704.i 0.267326 + 0.0320599i
\(305\) −2.90577e7 −1.02415
\(306\) −1.63973e6 + 1.95416e6i −0.0572280 + 0.0682016i
\(307\) 5.20917e6 + 1.43121e7i 0.180034 + 0.494638i 0.996579 0.0826428i \(-0.0263360\pi\)
−0.816546 + 0.577281i \(0.804114\pi\)
\(308\) 1.82166e6 + 1.03312e7i 0.0623471 + 0.353588i
\(309\) −1.61187e6 + 9.14138e6i −0.0546330 + 0.309839i
\(310\) −1.44186e7 5.24794e6i −0.483992 0.176159i
\(311\) 1.57934e7 + 2.73550e7i 0.525043 + 0.909402i 0.999575 + 0.0291632i \(0.00928425\pi\)
−0.474531 + 0.880239i \(0.657382\pi\)
\(312\) −5.88972e7 3.40043e7i −1.93924 1.11962i
\(313\) 4.05497e7 3.40253e7i 1.32238 1.10961i 0.336581 0.941655i \(-0.390729\pi\)
0.985795 0.167951i \(-0.0537150\pi\)
\(314\) 1.29972e7 + 1.54895e7i 0.419818 + 0.500319i
\(315\) 4.37610e7 7.57963e7i 1.40009 2.42503i
\(316\) 1.06531e6 615057.i 0.0337610 0.0194919i
\(317\) −1.77755e7 + 4.88378e7i −0.558012 + 1.53313i 0.264504 + 0.964385i \(0.414792\pi\)
−0.822516 + 0.568742i \(0.807430\pi\)
\(318\) 4.03633e7 + 7.11714e6i 1.25518 + 0.221322i
\(319\) −3.89903e6 + 687505.i −0.120112 + 0.0211789i
\(320\) −1.08442e7 + 3.94697e6i −0.330939 + 0.120452i
\(321\) 4.39852e7 + 3.69080e7i 1.32982 + 1.11585i
\(322\) 6.25682e6i 0.187407i
\(323\) 961354. + 2.24720e6i 0.0285283 + 0.0666859i
\(324\) 5.63226e7 1.65595
\(325\) 2.25688e7 2.68965e7i 0.657444 0.783512i
\(326\) −1.08571e7 2.98296e7i −0.313373 0.860984i
\(327\) −2.82375e6 1.60143e7i −0.0807576 0.457999i
\(328\) −4.47811e6 + 2.53967e7i −0.126904 + 0.719706i
\(329\) 1.41525e7 + 5.15107e6i 0.397415 + 0.144647i
\(330\) 1.24204e7 + 2.15127e7i 0.345615 + 0.598623i
\(331\) 5.01623e7 + 2.89612e7i 1.38323 + 0.798607i 0.992540 0.121917i \(-0.0389042\pi\)
0.390687 + 0.920524i \(0.372238\pi\)
\(332\) −210721. + 176816.i −0.00575830 + 0.00483179i
\(333\) −9.83494e7 1.17208e8i −2.66342 3.17414i
\(334\) −1.75591e7 + 3.04133e7i −0.471263 + 0.816252i
\(335\) −3.64089e7 + 2.10207e7i −0.968441 + 0.559130i
\(336\) −5.71883e6 + 1.57123e7i −0.150761 + 0.414213i
\(337\) −6.03643e7 1.06438e7i −1.57721 0.278105i −0.684596 0.728922i \(-0.740021\pi\)
−0.892616 + 0.450817i \(0.851133\pi\)
\(338\) 1.67446e7 2.95252e6i 0.433635 0.0764615i
\(339\) −2.65346e7 + 9.65782e6i −0.681105 + 0.247902i
\(340\) 2.11738e6 + 1.77669e6i 0.0538719 + 0.0452039i
\(341\) 1.64072e7i 0.413781i
\(342\) −2.21681e7 + 4.38119e7i −0.554180 + 1.09525i
\(343\) 4.33607e7 1.07452
\(344\) 3.00656e7 3.58308e7i 0.738575 0.880200i
\(345\) 1.38811e7 + 3.81379e7i 0.338038 + 0.928752i
\(346\) −3.26572e6 1.85208e7i −0.0788407 0.447128i
\(347\) 505422. 2.86639e6i 0.0120967 0.0686037i −0.978162 0.207845i \(-0.933355\pi\)
0.990259 + 0.139241i \(0.0444663\pi\)
\(348\) −1.18198e7 4.30206e6i −0.280461 0.102080i
\(349\) −7.47081e6 1.29398e7i −0.175748 0.304405i 0.764672 0.644420i \(-0.222901\pi\)
−0.940420 + 0.340015i \(0.889568\pi\)
\(350\) 1.28652e7 + 7.42770e6i 0.300062 + 0.173241i
\(351\) −1.13723e8 + 9.54251e7i −2.62983 + 2.20669i
\(352\) −1.59576e7 1.90175e7i −0.365881 0.436040i
\(353\) −3.00221e7 + 5.19998e7i −0.682523 + 1.18216i 0.291685 + 0.956514i \(0.405784\pi\)
−0.974208 + 0.225650i \(0.927549\pi\)
\(354\) 1.78266e7 1.02922e7i 0.401846 0.232006i
\(355\) 3.27831e7 9.00707e7i 0.732764 2.01325i
\(356\) −3.36999e7 5.94221e6i −0.746929 0.131704i
\(357\) −5.32084e6 + 938207.i −0.116943 + 0.0206203i
\(358\) 1.86782e6 679832.i 0.0407086 0.0148167i
\(359\) −1.29023e7 1.08264e7i −0.278860 0.233991i 0.492621 0.870244i \(-0.336039\pi\)
−0.771480 + 0.636253i \(0.780483\pi\)
\(360\) 1.31322e8i 2.81470i
\(361\) 2.78667e7 + 3.79046e7i 0.592331 + 0.805695i
\(362\) 2.12334e7 0.447603
\(363\) 3.93986e7 4.69534e7i 0.823684 0.981628i
\(364\) −1.46559e7 4.02669e7i −0.303885 0.834918i
\(365\) 8.64565e6 + 4.90319e7i 0.177795 + 1.00832i
\(366\) −6.25745e6 + 3.54878e7i −0.127630 + 0.723828i
\(367\) 2.00058e6 + 728150.i 0.0404722 + 0.0147307i 0.362177 0.932109i \(-0.382034\pi\)
−0.321705 + 0.946840i \(0.604256\pi\)
\(368\) −2.72768e6 4.72449e6i −0.0547332 0.0948007i
\(369\) 8.42426e7 + 4.86375e7i 1.67669 + 0.968037i
\(370\) 4.63604e7 3.89010e7i 0.915255 0.767990i
\(371\) 3.92592e7 + 4.67873e7i 0.768811 + 0.916233i
\(372\) 2.60629e7 4.51423e7i 0.506284 0.876910i
\(373\) −4.80470e7 + 2.77399e7i −0.925848 + 0.534539i −0.885496 0.464647i \(-0.846181\pi\)
−0.0403519 + 0.999186i \(0.512848\pi\)
\(374\) 369014. 1.01386e6i 0.00705388 0.0193804i
\(375\) 3.13497e7 + 5.52780e6i 0.594484 + 0.104824i
\(376\) −2.22546e7 + 3.92408e6i −0.418654 + 0.0738201i
\(377\) 1.51969e7 5.53122e6i 0.283616 0.103228i
\(378\) −4.81163e7 4.03744e7i −0.890875 0.747533i
\(379\) 4.86399e6i 0.0893460i −0.999002 0.0446730i \(-0.985775\pi\)
0.999002 0.0446730i \(-0.0142246\pi\)
\(380\) 4.74714e7 + 2.40198e7i 0.865130 + 0.437742i
\(381\) −5.44260e7 −0.984082
\(382\) −495922. + 591017.i −0.00889659 + 0.0106025i
\(383\) 1.38402e7 + 3.80255e7i 0.246346 + 0.676829i 0.999813 + 0.0193437i \(0.00615768\pi\)
−0.753467 + 0.657485i \(0.771620\pi\)
\(384\) −1.62104e7 9.19337e7i −0.286286 1.62361i
\(385\) −6.42796e6 + 3.64548e7i −0.112640 + 0.638811i
\(386\) 2.74636e7 + 9.99595e6i 0.477525 + 0.173805i
\(387\) −8.82162e7 1.52795e8i −1.52200 2.63619i
\(388\) −1.74785e7 1.00912e7i −0.299233 0.172762i
\(389\) 1.28454e7 1.07786e7i 0.218222 0.183110i −0.527123 0.849789i \(-0.676729\pi\)
0.745345 + 0.666679i \(0.232285\pi\)
\(390\) −6.52223e7 7.77290e7i −1.09952 1.31036i
\(391\) 881388. 1.52661e6i 0.0147447 0.0255386i
\(392\) −9.60490e6 + 5.54539e6i −0.159454 + 0.0920606i
\(393\) 5.93268e7 1.62999e8i 0.977403 2.68539i
\(394\) −3.12452e7 5.50937e6i −0.510852 0.0900769i
\(395\) 4.27466e6 753739.i 0.0693603 0.0122301i
\(396\) −5.57932e7 + 2.03071e7i −0.898454 + 0.327011i
\(397\) 2.35355e7 + 1.97486e7i 0.376141 + 0.315620i 0.811185 0.584789i \(-0.198823\pi\)
−0.435044 + 0.900409i \(0.643267\pi\)
\(398\) 2.86353e7i 0.454206i
\(399\) −9.56134e7 + 4.09036e7i −1.50522 + 0.643935i
\(400\) 1.29525e7 0.202383
\(401\) 5.54309e7 6.60600e7i 0.859645 1.02448i −0.139767 0.990184i \(-0.544635\pi\)
0.999412 0.0343001i \(-0.0109202\pi\)
\(402\) 1.78318e7 + 4.89923e7i 0.274483 + 0.754137i
\(403\) 1.16377e7 + 6.60008e7i 0.177809 + 1.00840i
\(404\) −6.04493e6 + 3.42825e7i −0.0916742 + 0.519910i
\(405\) 1.86756e8 + 6.79735e7i 2.81131 + 1.02323i
\(406\) 3.42123e6 + 5.92575e6i 0.0511216 + 0.0885452i
\(407\) 5.60429e7 + 3.23564e7i 0.831261 + 0.479929i
\(408\) 6.21018e6 5.21096e6i 0.0914374 0.0767250i
\(409\) −2.65965e7 3.16965e7i −0.388737 0.463278i 0.535815 0.844335i \(-0.320004\pi\)
−0.924551 + 0.381057i \(0.875560\pi\)
\(410\) −1.92380e7 + 3.33212e7i −0.279131 + 0.483470i
\(411\) 2.37760e7 1.37271e7i 0.342463 0.197721i
\(412\) 3.00146e6 8.24644e6i 0.0429181 0.117917i
\(413\) 3.02085e7 + 5.32657e6i 0.428824 + 0.0756132i
\(414\) 3.48741e7 6.14925e6i 0.491476 0.0866604i
\(415\) −912107. + 331980.i −0.0127615 + 0.00464480i
\(416\) 7.76816e7 + 6.51826e7i 1.07904 + 0.905423i
\(417\) 3.04766e7i 0.420299i
\(418\) 2.47284e6 2.06194e7i 0.0338584 0.282323i
\(419\) −6.91653e7 −0.940257 −0.470128 0.882598i \(-0.655792\pi\)
−0.470128 + 0.882598i \(0.655792\pi\)
\(420\) −7.55945e7 + 9.00900e7i −1.02033 + 1.21599i
\(421\) −5.94295e6 1.63281e7i −0.0796445 0.218821i 0.893479 0.449105i \(-0.148257\pi\)
−0.973124 + 0.230283i \(0.926035\pi\)
\(422\) 2.18534e6 + 1.23937e7i 0.0290791 + 0.164916i
\(423\) −1.48018e7 + 8.39451e7i −0.195566 + 1.10911i
\(424\) −8.61155e7 3.13435e7i −1.12975 0.411197i
\(425\) 2.09266e6 + 3.62459e6i 0.0272603 + 0.0472163i
\(426\) −1.02942e8 5.94337e7i −1.33157 0.768784i
\(427\) −4.11358e7 + 3.45170e7i −0.528367 + 0.443353i
\(428\) −3.48932e7 4.15841e7i −0.445050 0.530390i
\(429\) 5.42495e7 9.39629e7i 0.687106 1.19010i
\(430\) 6.04364e7 3.48930e7i 0.760139 0.438867i
\(431\) −3.26439e7 + 8.96883e7i −0.407727 + 1.12022i 0.550655 + 0.834733i \(0.314378\pi\)
−0.958382 + 0.285488i \(0.907844\pi\)
\(432\) −5.39337e7 9.50996e6i −0.668973 0.117958i
\(433\) 7.72654e7 1.36240e7i 0.951747 0.167819i 0.323844 0.946110i \(-0.395025\pi\)
0.627903 + 0.778292i \(0.283914\pi\)
\(434\) −2.66457e7 + 9.69823e6i −0.325955 + 0.118638i
\(435\) −3.40004e7 2.85297e7i −0.413063 0.346601i
\(436\) 1.53736e7i 0.185489i
\(437\) 9.82876e6 3.24751e7i 0.117775 0.389141i
\(438\) 6.17437e7 0.734802
\(439\) 5.09353e7 6.07023e7i 0.602039 0.717483i −0.375832 0.926688i \(-0.622643\pi\)
0.977872 + 0.209205i \(0.0670876\pi\)
\(440\) −1.89966e7 5.21928e7i −0.223007 0.612707i
\(441\) 7.26454e6 + 4.11993e7i 0.0847018 + 0.480368i
\(442\) −765289. + 4.34017e6i −0.00886255 + 0.0502620i
\(443\) −9.51326e7 3.46254e7i −1.09425 0.398276i −0.269059 0.963124i \(-0.586713\pi\)
−0.825195 + 0.564848i \(0.808935\pi\)
\(444\) 1.02797e8 + 1.78049e8i 1.17444 + 2.03419i
\(445\) −1.04572e8 6.03744e7i −1.18668 0.685130i
\(446\) −4.81138e7 + 4.03723e7i −0.542332 + 0.455070i
\(447\) 1.40377e8 + 1.67295e8i 1.57171 + 1.87309i
\(448\) −1.06632e7 + 1.84691e7i −0.118591 + 0.205406i
\(449\) −1.35668e8 + 7.83282e7i −1.49879 + 0.865325i −0.999999 0.00139918i \(-0.999555\pi\)
−0.498788 + 0.866724i \(0.666221\pi\)
\(450\) −2.87564e7 + 7.90075e7i −0.315570 + 0.867023i
\(451\) −4.05171e7 7.14426e6i −0.441681 0.0778803i
\(452\) 2.62905e7 4.63573e6i 0.284698 0.0501999i
\(453\) −6.77765e6 + 2.46686e6i −0.0729096 + 0.0265369i
\(454\) 2.81089e7 + 2.35862e7i 0.300384 + 0.252052i
\(455\) 1.51205e8i 1.60521i
\(456\) 9.35559e7 1.24883e8i 0.986681 1.31707i
\(457\) 1.11072e7 0.116374 0.0581871 0.998306i \(-0.481468\pi\)
0.0581871 + 0.998306i \(0.481468\pi\)
\(458\) −3.31053e7 + 3.94534e7i −0.344589 + 0.410665i
\(459\) −6.05248e6 1.66291e7i −0.0625886 0.171961i
\(460\) −6.66288e6 3.77870e7i −0.0684523 0.388212i
\(461\) −2.93030e6 + 1.66186e7i −0.0299095 + 0.169625i −0.996104 0.0881904i \(-0.971892\pi\)
0.966194 + 0.257816i \(0.0830027\pi\)
\(462\) 4.31374e7 + 1.57007e7i 0.437450 + 0.159219i
\(463\) 6.39821e7 + 1.10820e8i 0.644638 + 1.11655i 0.984385 + 0.176028i \(0.0563251\pi\)
−0.339747 + 0.940517i \(0.610342\pi\)
\(464\) 5.16670e6 + 2.98300e6i 0.0517201 + 0.0298606i
\(465\) 1.40900e8 1.18229e8i 1.40137 1.17589i
\(466\) 2.47947e7 + 2.95491e7i 0.245020 + 0.292003i
\(467\) −8.66568e6 + 1.50094e7i −0.0850848 + 0.147371i −0.905427 0.424501i \(-0.860449\pi\)
0.820343 + 0.571872i \(0.193783\pi\)
\(468\) 2.10034e8 1.21263e8i 2.04905 1.18302i
\(469\) −2.65725e7 + 7.30074e7i −0.257581 + 0.707698i
\(470\) −3.32035e7 5.85468e6i −0.319809 0.0563910i
\(471\) −2.38701e8 + 4.20895e7i −2.28450 + 0.402820i
\(472\) −4.32499e7 + 1.57417e7i −0.411300 + 0.149701i
\(473\) 5.71634e7 + 4.79658e7i 0.540176 + 0.453261i
\(474\) 5.38290e6i 0.0505453i
\(475\) 5.51067e7 + 5.87621e7i 0.514190 + 0.548298i
\(476\) 5.10798e6 0.0473618
\(477\) −2.22197e8 + 2.64804e8i −2.04731 + 2.43989i
\(478\) 175291. + 481608.i 0.00160500 + 0.00440971i
\(479\) −1.77857e7 1.00868e8i −0.161832 0.917795i −0.952271 0.305254i \(-0.901259\pi\)
0.790439 0.612541i \(-0.209853\pi\)
\(480\) 4.83275e7 2.74079e8i 0.436989 2.47829i
\(481\) −2.48393e8 9.04078e7i −2.23205 0.812401i
\(482\) 1.17155e7 + 2.02918e7i 0.104621 + 0.181209i
\(483\) 6.49540e7 + 3.75012e7i 0.576453 + 0.332816i
\(484\) −4.43902e7 + 3.72478e7i −0.391517 + 0.328522i
\(485\) −4.57769e7 5.45548e7i −0.401256 0.478198i
\(486\) 4.83471e7 8.37396e7i 0.421174 0.729494i
\(487\) 4.51539e7 2.60696e7i 0.390938 0.225708i −0.291628 0.956532i \(-0.594197\pi\)
0.682567 + 0.730823i \(0.260864\pi\)
\(488\) 2.75574e7 7.57135e7i 0.237126 0.651499i
\(489\) 3.74744e8 + 6.60775e7i 3.20485 + 0.565102i
\(490\) −1.62959e7 + 2.87341e6i −0.138513 + 0.0244236i
\(491\) 2.01976e8 7.35131e7i 1.70630 0.621041i 0.709779 0.704425i \(-0.248795\pi\)
0.996518 + 0.0833838i \(0.0265727\pi\)
\(492\) −1.00129e8 8.40183e7i −0.840746 0.705470i
\(493\) 1.92777e6i 0.0160885i
\(494\) 4.67803e6 + 8.46992e7i 0.0388045 + 0.702584i
\(495\) −2.09508e8 −1.72737
\(496\) −1.58920e7 + 1.89394e7i −0.130237 + 0.155210i
\(497\) −6.05833e7 1.66451e8i −0.493496 1.35587i
\(498\) 209024. + 1.18543e6i 0.00169242 + 0.00959818i
\(499\) 2.22880e7 1.26402e8i 0.179378 1.01730i −0.753590 0.657345i \(-0.771680\pi\)
0.932968 0.359959i \(-0.117209\pi\)
\(500\) −2.82806e7 1.02933e7i −0.226245 0.0823463i
\(501\) −2.10486e8 3.64573e8i −1.67383 2.89916i
\(502\) 9.10061e7 + 5.25424e7i 0.719382 + 0.415335i
\(503\) 1.13981e8 9.56414e7i 0.895629 0.751522i −0.0737019 0.997280i \(-0.523481\pi\)
0.969331 + 0.245758i \(0.0790369\pi\)
\(504\) 1.55995e8 + 1.85907e8i 1.21848 + 1.45213i
\(505\) −6.14181e7 + 1.06379e8i −0.476894 + 0.826005i
\(506\) −1.29708e7 + 7.48872e6i −0.100119 + 0.0578037i
\(507\) −6.97100e7 + 1.91527e8i −0.534899 + 1.46962i
\(508\) 5.06731e7 + 8.93504e6i 0.386533 + 0.0681562i
\(509\) −7.73941e7 + 1.36467e7i −0.586887 + 0.103484i −0.459204 0.888331i \(-0.651865\pi\)
−0.127683 + 0.991815i \(0.540754\pi\)
\(510\) 1.13658e7 4.13682e6i 0.0856822 0.0311858i
\(511\) 7.04832e7 + 5.91424e7i 0.528229 + 0.443237i
\(512\) 6.97867e7i 0.519952i
\(513\) −1.86317e8 2.85143e8i −1.38007 2.11208i
\(514\) −4.94421e7 −0.364089
\(515\) 1.99046e7 2.37214e7i 0.145724 0.173667i
\(516\) 8.10841e7 + 2.22777e8i 0.590183 + 1.62151i
\(517\) −6.26037e6 3.55043e7i −0.0453031 0.256927i
\(518\) 1.94208e7 1.10141e8i 0.139726 0.792427i
\(519\) 2.11844e8 + 7.71047e7i 1.51535 + 0.551543i
\(520\) 1.13438e8 + 1.96481e8i 0.806769 + 1.39736i
\(521\) 1.84911e8 + 1.06758e8i 1.30752 + 0.754900i 0.981682 0.190525i \(-0.0610189\pi\)
0.325842 + 0.945424i \(0.394352\pi\)
\(522\) −2.96664e7 + 2.48930e7i −0.208570 + 0.175011i
\(523\) 2.07883e7 + 2.47745e7i 0.145316 + 0.173181i 0.833793 0.552078i \(-0.186165\pi\)
−0.688477 + 0.725258i \(0.741720\pi\)
\(524\) −8.19955e7 + 1.42020e8i −0.569896 + 0.987090i
\(525\) −1.54218e8 + 8.90381e7i −1.06576 + 0.615315i
\(526\) −1.54866e7 + 4.25491e7i −0.106414 + 0.292370i
\(527\) −7.86748e6 1.38725e6i −0.0537531 0.00947813i
\(528\) 3.94176e7 6.95039e6i 0.267786 0.0472180i
\(529\) 1.16113e8 4.22618e7i 0.784360 0.285484i
\(530\) −1.04740e8 8.78877e7i −0.703537 0.590338i
\(531\) 1.73610e8i 1.15956i
\(532\) 9.57357e7 2.23864e7i 0.635827 0.148679i
\(533\) 1.68055e8 1.10986
\(534\) −9.62533e7 + 1.14710e8i −0.632109 + 0.753318i
\(535\) −6.55134e7 1.79996e8i −0.427827 1.17545i
\(536\) −2.02429e7 1.14803e8i −0.131455 0.745520i
\(537\) −4.13753e6 + 2.34651e7i −0.0267189 + 0.151530i
\(538\) 5.79825e7 + 2.11039e7i 0.372349 + 0.135524i
\(539\) −8.84696e6 1.53234e7i −0.0564973 0.0978562i
\(540\) −3.33585e8 1.92595e8i −2.11848 1.22311i
\(541\) −3.13702e7 + 2.63227e7i −0.198119 + 0.166241i −0.736450 0.676492i \(-0.763499\pi\)
0.538331 + 0.842733i \(0.319055\pi\)
\(542\) 5.16242e7 + 6.15233e7i 0.324232 + 0.386404i
\(543\) −1.27265e8 + 2.20430e8i −0.794896 + 1.37680i
\(544\) −1.04684e7 + 6.04395e6i −0.0650256 + 0.0375426i
\(545\) −1.85538e7 + 5.09762e7i −0.114616 + 0.314904i
\(546\) −1.84665e8 3.25614e7i −1.13450 0.200044i
\(547\) 1.81976e8 3.20873e7i 1.11187 0.196052i 0.412599 0.910913i \(-0.364621\pi\)
0.699267 + 0.714861i \(0.253510\pi\)
\(548\) −2.43902e7 + 8.87730e6i −0.148209 + 0.0539435i
\(549\) −2.32818e8 1.95358e8i −1.40702 1.18063i
\(550\) 3.55605e7i 0.213737i
\(551\) 8.44873e6 + 3.61311e7i 0.0505053 + 0.215986i
\(552\) −1.12537e8 −0.669082
\(553\) 5.15611e6 6.14481e6i 0.0304892 0.0363357i
\(554\) −4.91540e7 1.35050e8i −0.289088 0.794262i
\(555\) 1.25975e8 + 7.14440e8i 0.736895 + 4.17914i
\(556\) −5.00331e6 + 2.83752e7i −0.0291094 + 0.165087i
\(557\) −1.34927e8 4.91095e7i −0.780790 0.284184i −0.0792881 0.996852i \(-0.525265\pi\)
−0.701502 + 0.712667i \(0.747487\pi\)
\(558\) −8.02433e7 1.38985e8i −0.461855 0.799957i
\(559\) −2.63973e8 1.52405e8i −1.51121 0.872495i
\(560\) 4.27302e7 3.58549e7i 0.243316 0.204166i
\(561\) 8.31342e6 + 9.90754e6i 0.0470859 + 0.0561148i
\(562\) 5.60120e7 9.70156e7i 0.315553 0.546554i
\(563\) 5.26066e7 3.03724e7i 0.294791 0.170198i −0.345309 0.938489i \(-0.612226\pi\)
0.640101 + 0.768291i \(0.278893\pi\)
\(564\) 3.91743e7 1.07630e8i 0.218355 0.599926i
\(565\) 9.27693e7 + 1.63577e7i 0.514350 + 0.0906938i
\(566\) 1.03151e8 1.81884e7i 0.568887 0.100310i
\(567\) 3.45126e8 1.25616e8i 1.89334 0.689120i
\(568\) 2.03600e8 + 1.70840e8i 1.11105 + 0.932279i
\(569\) 4.10303e7i 0.222724i −0.993780 0.111362i \(-0.964479\pi\)
0.993780 0.111362i \(-0.0355214\pi\)
\(570\) 1.94893e8 1.27346e8i 1.05238 0.687641i
\(571\) −8.34058e7 −0.448010 −0.224005 0.974588i \(-0.571913\pi\)
−0.224005 + 0.974588i \(0.571913\pi\)
\(572\) −6.59346e7 + 7.85778e7i −0.352310 + 0.419867i
\(573\) −3.16314e6 8.69066e6i −0.0168134 0.0461944i
\(574\) 1.23471e7 + 7.00238e7i 0.0652873 + 0.370263i
\(575\) 1.00889e7 5.72171e7i 0.0530690 0.300969i
\(576\) −1.13423e8 4.12824e7i −0.593515 0.216022i
\(577\) 7.78215e7 + 1.34791e8i 0.405109 + 0.701670i 0.994334 0.106299i \(-0.0339002\pi\)
−0.589225 + 0.807969i \(0.700567\pi\)
\(578\) 8.60249e7 + 4.96665e7i 0.445493 + 0.257205i
\(579\) −2.68378e8 + 2.25196e8i −1.38265 + 1.16018i
\(580\) 2.69723e7 + 3.21443e7i 0.138240 + 0.164748i
\(581\) −896879. + 1.55344e6i −0.00457304 + 0.00792074i
\(582\) −7.64848e7 + 4.41585e7i −0.387977 + 0.223999i
\(583\) 5.00045e7 1.37386e8i 0.252350 0.693326i
\(584\) −1.35958e8 2.39731e7i −0.682600 0.120361i
\(585\) 8.42784e8 1.48606e8i 4.20968 0.742280i
\(586\) 5.79197e7 2.10810e7i 0.287828 0.104761i
\(587\) −2.02951e8 1.70296e8i −1.00341 0.841959i −0.0159545 0.999873i \(-0.505079\pi\)
−0.987453 + 0.157914i \(0.949523\pi\)
\(588\) 5.62139e7i 0.276510i
\(589\) −1.53535e8 + 8.47994e6i −0.751385 + 0.0414999i
\(590\) −6.86696e7 −0.334355
\(591\) 2.44467e8 2.91345e8i 1.18429 1.41138i
\(592\) −3.33518e7 9.16333e7i −0.160751 0.441660i
\(593\) 1.84286e6 + 1.04514e7i 0.00883747 + 0.0501198i 0.988908 0.148532i \(-0.0474548\pi\)
−0.980070 + 0.198652i \(0.936344\pi\)
\(594\) −2.61091e7 + 1.48072e8i −0.124576 + 0.706503i
\(595\) 1.69371e7 + 6.16461e6i 0.0804061 + 0.0292654i
\(596\) −1.03233e8 1.78805e8i −0.487618 0.844579i
\(597\) 2.97272e8 + 1.71630e8i 1.39711 + 0.806623i
\(598\) 4.68658e7 3.93250e7i 0.219155 0.183893i
\(599\) 5.65167e7 + 6.73540e7i 0.262964 + 0.313389i 0.881329 0.472502i \(-0.156649\pi\)
−0.618365 + 0.785891i \(0.712205\pi\)
\(600\) 1.33597e8 2.31397e8i 0.618506 1.07128i
\(601\) −1.50147e8 + 8.66874e7i −0.691661 + 0.399331i −0.804234 0.594313i \(-0.797424\pi\)
0.112573 + 0.993643i \(0.464091\pi\)
\(602\) 4.41086e7 1.21187e8i 0.202178 0.555479i
\(603\) −4.33042e8 7.63570e7i −1.97505 0.348255i
\(604\) 6.71530e6 1.18409e6i 0.0304758 0.00537370i
\(605\) −1.92143e8 + 6.99342e7i −0.867677 + 0.315808i
\(606\) 1.16693e8 + 9.79172e7i 0.524358 + 0.439988i
\(607\) 1.35316e8i 0.605039i −0.953143 0.302519i \(-0.902172\pi\)
0.953143 0.302519i \(-0.0978277\pi\)
\(608\) −1.69715e8 + 1.59157e8i −0.755108 + 0.708135i
\(609\) −8.20226e7 −0.363146
\(610\) 7.72716e7 9.20887e7i 0.340432 0.405711i
\(611\) 5.03669e7 + 1.38382e8i 0.220812 + 0.606675i
\(612\) 5.02015e6 + 2.84707e7i 0.0219009 + 0.124206i
\(613\) −5.67368e7 + 3.21770e8i −0.246311 + 1.39690i 0.571118 + 0.820868i \(0.306510\pi\)
−0.817429 + 0.576029i \(0.804601\pi\)
\(614\) −5.92098e7 2.15506e7i −0.255793 0.0931010i
\(615\) −2.30612e8 3.99431e8i −0.991416 1.71718i
\(616\) −8.88913e7 5.13214e7i −0.380292 0.219562i
\(617\) 3.58416e8 3.00747e8i 1.52592 1.28040i 0.705333 0.708876i \(-0.250798\pi\)
0.820587 0.571522i \(-0.193647\pi\)
\(618\) −2.46842e7 2.94175e7i −0.104581 0.124635i
\(619\) 4.62257e7 8.00653e7i 0.194900 0.337577i −0.751968 0.659200i \(-0.770895\pi\)
0.946868 + 0.321623i \(0.104228\pi\)
\(620\) −1.50594e8 + 8.69458e7i −0.631879 + 0.364816i
\(621\) −8.40195e7 + 2.30842e8i −0.350837 + 0.963916i
\(622\) −1.28691e8 2.26917e7i −0.534783 0.0942966i
\(623\) −2.19755e8 + 3.87487e7i −0.908812 + 0.160248i
\(624\) −1.53635e8 + 5.59184e7i −0.632317 + 0.230145i
\(625\) −2.21932e8 1.86223e8i −0.909032 0.762769i
\(626\) 2.18990e8i 0.892692i
\(627\) 1.99235e8 + 1.49256e8i 0.808280 + 0.605523i
\(628\) 2.29152e8 0.925219
\(629\) 2.02539e7 2.41376e7i 0.0813872 0.0969935i
\(630\) 1.23840e8 + 3.40247e8i 0.495266 + 1.36073i
\(631\) 3.94632e7 + 2.23807e8i 0.157074 + 0.890811i 0.956865 + 0.290533i \(0.0938325\pi\)
−0.799791 + 0.600279i \(0.795056\pi\)
\(632\) −2.09000e6 + 1.18530e7i −0.00827933 + 0.0469544i
\(633\) −1.41761e8 5.15966e7i −0.558913 0.203428i
\(634\) −1.07506e8 1.86205e8i −0.421855 0.730674i
\(635\) 1.57240e8 + 9.07824e7i 0.614103 + 0.354552i
\(636\) 3.55820e8 2.98569e8i 1.38312 1.16057i
\(637\) 4.64575e7 + 5.53659e7i 0.179737 + 0.214202i
\(638\) 8.18966e6 1.41849e7i 0.0315358 0.0546216i
\(639\) 8.68220e8 5.01267e8i 3.32757 1.92117i
\(640\) −1.06512e8 + 2.92640e8i −0.406313 + 1.11633i
\(641\) 3.73615e7 + 6.58784e6i 0.141857 + 0.0250132i 0.244126 0.969744i \(-0.421499\pi\)
−0.102269 + 0.994757i \(0.532610\pi\)
\(642\) −2.33935e8 + 4.12490e7i −0.884077 + 0.155887i
\(643\) −1.50277e8 + 5.46962e7i −0.565273 + 0.205743i −0.608819 0.793309i \(-0.708357\pi\)
0.0435464 + 0.999051i \(0.486134\pi\)
\(644\) −5.43187e7 4.55788e7i −0.203372 0.170650i
\(645\) 8.36544e8i 3.11752i
\(646\) −9.67821e6 2.92916e6i −0.0359003 0.0108654i
\(647\) −1.71003e8 −0.631378 −0.315689 0.948863i \(-0.602236\pi\)
−0.315689 + 0.948863i \(0.602236\pi\)
\(648\) −3.54227e8 + 4.22151e8i −1.30184 + 1.55147i
\(649\) −2.51138e7 6.89996e7i −0.0918710 0.252414i
\(650\) 2.52233e7 + 1.43049e8i 0.0918465 + 0.520887i
\(651\) 5.90245e7 3.34744e8i 0.213939 1.21331i
\(652\) −3.38057e8 1.23043e8i −1.21968 0.443928i
\(653\) 4.17086e7 + 7.22414e7i 0.149791 + 0.259446i 0.931150 0.364636i \(-0.118807\pi\)
−0.781359 + 0.624082i \(0.785473\pi\)
\(654\) 5.82610e7 + 3.36370e7i 0.208279 + 0.120250i
\(655\) −4.43281e8 + 3.71957e8i −1.57745 + 1.32364i
\(656\) 3.98503e7 + 4.74918e7i 0.141163 + 0.168231i
\(657\) −2.60375e8 + 4.50983e8i −0.918127 + 1.59024i
\(658\) −5.39595e7 + 3.11535e7i −0.189404 + 0.109353i
\(659\) 1.32192e8 3.63195e8i 0.461902 1.26907i −0.462151 0.886801i \(-0.652922\pi\)
0.924053 0.382265i \(-0.124856\pi\)
\(660\) 2.77241e8 + 4.88851e7i 0.964330 + 0.170037i
\(661\) 2.87294e8 5.06577e7i 0.994769 0.175405i 0.347511 0.937676i \(-0.387027\pi\)
0.647258 + 0.762271i \(0.275916\pi\)
\(662\) −2.25177e8 + 8.19576e7i −0.776157 + 0.282498i
\(663\) −4.04697e7 3.39581e7i −0.138864 0.116521i
\(664\) 2.69144e6i 0.00919351i
\(665\) 3.44460e8 + 4.13103e7i 1.17131 + 0.140473i
\(666\) 6.32987e8 2.14275
\(667\) 1.72016e7 2.05001e7i 0.0579686 0.0690842i
\(668\) 1.36121e8 + 3.73990e8i 0.456664 + 1.25467i
\(669\) −1.30740e8 7.41461e8i −0.436645 2.47634i
\(670\) 3.02022e7 1.71285e8i 0.100418 0.569501i
\(671\) 1.20791e8 + 4.39644e7i 0.399823 + 0.145524i
\(672\) −2.57157e8 4.45409e8i −0.847404 1.46775i
\(673\) 6.11102e6 + 3.52820e6i 0.0200479 + 0.0115747i 0.509990 0.860180i \(-0.329649\pi\)
−0.489943 + 0.871755i \(0.662982\pi\)
\(674\) 1.94255e8 1.63000e8i 0.634444 0.532362i
\(675\) −3.74909e8 4.46800e8i −1.21903 1.45279i
\(676\) 9.63460e7 1.66876e8i 0.311885 0.540200i
\(677\) 2.47985e8 1.43174e8i 0.799207 0.461422i −0.0439870 0.999032i \(-0.514006\pi\)
0.843194 + 0.537610i \(0.180673\pi\)
\(678\) 3.99549e7 1.09775e8i 0.128198 0.352221i
\(679\) −1.29609e8 2.28535e7i −0.414024 0.0730035i
\(680\) −2.66334e7 + 4.69619e6i −0.0847033 + 0.0149355i
\(681\) −4.13330e8 + 1.50440e8i −1.30875 + 0.476345i
\(682\) 5.19970e7 + 4.36307e7i 0.163917 + 0.137543i
\(683\) 2.09553e8i 0.657705i −0.944381 0.328853i \(-0.893338\pi\)
0.944381 0.328853i \(-0.106662\pi\)
\(684\) 2.18866e8 + 5.11608e8i 0.683929 + 1.59871i
\(685\) −9.15871e7 −0.284946
\(686\) −1.15307e8 + 1.37417e8i −0.357176 + 0.425666i
\(687\) −2.11156e8 5.80146e8i −0.651228 1.78923i
\(688\) −1.95260e7 1.10737e8i −0.0599580 0.340039i
\(689\) −1.03703e8 + 5.88129e8i −0.317055 + 1.79811i
\(690\) −1.57778e8 5.74267e7i −0.480287 0.174810i
\(691\) 2.71932e8 + 4.71000e8i 0.824188 + 1.42754i 0.902538 + 0.430610i \(0.141702\pi\)
−0.0783494 + 0.996926i \(0.524965\pi\)
\(692\) −1.84578e8 1.06566e8i −0.557009 0.321589i
\(693\) −2.96592e8 + 2.48870e8i −0.891167 + 0.747778i
\(694\) 7.74003e6 + 9.22421e6i 0.0231560 + 0.0275963i
\(695\) −5.08349e7 + 8.80486e7i −0.151428 + 0.262282i
\(696\) 1.06583e8 6.15354e7i 0.316125 0.182515i
\(697\) −6.85156e6 + 1.88245e7i −0.0202344 + 0.0555936i
\(698\) 6.08751e7 + 1.07339e7i 0.179008 + 0.0315640i
\(699\) −4.55369e8 + 8.02939e7i −1.33331 + 0.235099i
\(700\) 1.58202e8 5.75808e7i 0.461230 0.167874i
\(701\) 7.14240e7 + 5.99319e7i 0.207343 + 0.173982i 0.740546 0.672006i \(-0.234567\pi\)
−0.533202 + 0.845988i \(0.679012\pi\)
\(702\) 6.14166e8i 1.77531i
\(703\) 2.73820e8 5.41163e8i 0.788132 1.55762i
\(704\) 5.10504e7 0.146312
\(705\) 2.59790e8 3.09605e8i 0.741403 0.883570i
\(706\) −8.49599e7 2.33425e8i −0.241435 0.663336i
\(707\) 3.94185e7 + 2.23554e8i 0.111543 + 0.632591i
\(708\) 4.05089e7 2.29737e8i 0.114143 0.647339i
\(709\) 3.54706e8 + 1.29102e8i 0.995243 + 0.362239i 0.787748 0.615997i \(-0.211247\pi\)
0.207495 + 0.978236i \(0.433469\pi\)
\(710\) 1.98271e8 + 3.43415e8i 0.553966 + 0.959498i
\(711\) 3.93172e7 + 2.26998e7i 0.109389 + 0.0631558i
\(712\) 2.56485e8 2.15217e8i 0.710595 0.596260i
\(713\) 7.12850e7 + 8.49542e7i 0.196666 + 0.234378i
\(714\) 1.11761e7 1.93575e7i 0.0307040 0.0531808i
\(715\) −3.13460e8 + 1.80976e8i −0.857558 + 0.495111i
\(716\) 7.70447e6 2.11679e7i 0.0209896 0.0576684i
\(717\) −6.05035e6 1.06684e6i −0.0164143 0.00289429i
\(718\) 6.86210e7 1.20997e7i 0.185389 0.0326891i
\(719\) −3.72268e7 + 1.35495e7i −0.100154 + 0.0364532i −0.391611 0.920131i \(-0.628082\pi\)
0.291457 + 0.956584i \(0.405860\pi\)
\(720\) 2.41842e8 + 2.02930e8i 0.647940 + 0.543686i
\(721\) 5.72255e7i 0.152681i
\(722\) −1.94230e8 1.24834e7i −0.516067 0.0331681i
\(723\) −2.80874e8 −0.743185
\(724\) 1.54678e8 1.84338e8i 0.407579 0.485734i
\(725\) 2.17313e7 + 5.97061e7i 0.0570257 + 0.156677i
\(726\) 4.40325e7 + 2.49721e8i 0.115070 + 0.652597i
\(727\) −6.34445e7 + 3.59812e8i −0.165117 + 0.936423i 0.783827 + 0.620979i \(0.213265\pi\)
−0.948944 + 0.315444i \(0.897846\pi\)
\(728\) 3.93984e8 + 1.43399e8i 1.02114 + 0.371664i
\(729\) 1.41677e8 + 2.45392e8i 0.365693 + 0.633400i
\(730\) −1.78381e8 1.02988e8i −0.458543 0.264740i
\(731\) 2.78336e7 2.33551e7i 0.0712553 0.0597903i
\(732\) 2.62504e8 + 3.12840e8i 0.669272 + 0.797607i
\(733\) 1.95953e8 3.39401e8i 0.497554 0.861789i −0.502442 0.864611i \(-0.667565\pi\)
0.999996 + 0.00282209i \(0.000898301\pi\)
\(734\) −7.62765e6 + 4.40382e6i −0.0192887 + 0.0111363i
\(735\) 6.78422e7 1.86395e8i 0.170859 0.469432i
\(736\) 1.65253e8 + 2.91385e7i 0.414491 + 0.0730859i
\(737\) 1.83154e8 3.22949e7i 0.457523 0.0806737i
\(738\) −3.78162e8 + 1.37640e8i −0.940824 + 0.342432i
\(739\) 2.37615e8 + 1.99383e8i 0.588763 + 0.494031i 0.887812 0.460207i \(-0.152225\pi\)
−0.299049 + 0.954238i \(0.596669\pi\)
\(740\) 6.85859e8i 1.69254i
\(741\) −9.07326e8 4.59093e8i −2.23002 1.12836i
\(742\) −2.52676e8 −0.618519
\(743\) −2.22299e8 + 2.64926e8i −0.541966 + 0.645890i −0.965627 0.259931i \(-0.916300\pi\)
0.423662 + 0.905821i \(0.360745\pi\)
\(744\) 1.74436e8 + 4.79258e8i 0.423562 + 1.16373i
\(745\) −1.26510e8 7.17472e8i −0.305953 1.73515i
\(746\) 3.98563e7 2.26036e8i 0.0960020 0.544454i
\(747\) −9.53998e6 3.47227e6i −0.0228868 0.00833012i
\(748\) −6.11368e6 1.05892e7i −0.0146082 0.0253022i
\(749\) −3.06558e8 1.76991e8i −0.729570 0.421218i
\(750\) −1.00885e8 + 8.46526e7i −0.239135 + 0.200658i
\(751\) 1.87351e8 + 2.23276e8i 0.442320 + 0.527136i 0.940434 0.339975i \(-0.110419\pi\)
−0.498115 + 0.867111i \(0.665974\pi\)
\(752\) −2.71630e7 + 4.70476e7i −0.0638739 + 0.110633i
\(753\) −1.09092e9 + 6.29841e8i −2.55509 + 1.47518i
\(754\) −2.28829e7 + 6.28704e7i −0.0533824 + 0.146667i
\(755\) 2.36957e7 + 4.17820e6i 0.0550592 + 0.00970841i
\(756\) −7.01021e8 + 1.23609e8i −1.62243 + 0.286078i
\(757\) 7.01454e8 2.55308e8i 1.61701 0.588542i 0.634198 0.773171i \(-0.281330\pi\)
0.982808 + 0.184628i \(0.0591082\pi\)
\(758\) 1.54148e7 + 1.29345e7i 0.0353940 + 0.0296991i
\(759\) 1.79539e8i 0.410614i
\(760\) −4.78593e8 + 2.04743e8i −1.09025 + 0.466409i
\(761\) 4.82990e8 1.09593 0.547966 0.836500i \(-0.315402\pi\)
0.547966 + 0.836500i \(0.315402\pi\)
\(762\) 1.44732e8 1.72485e8i 0.327114 0.389840i
\(763\) 3.42876e7 + 9.42045e7i 0.0771905 + 0.212079i
\(764\) 1.51830e6 + 8.61071e6i 0.00340469 + 0.0193090i