Properties

Label 43.7.d.a.37.2
Level 43
Weight 7
Character 43.37
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 37.2
Character \(\chi\) \(=\) 43.37
Dual form 43.7.d.a.7.20

$q$-expansion

\(f(q)\) \(=\) \(q-14.0830i q^{2} +(-28.7233 - 16.5834i) q^{3} -134.330 q^{4} +(147.495 + 85.1564i) q^{5} +(-233.544 + 404.510i) q^{6} +(-245.226 + 141.581i) q^{7} +990.457i q^{8} +(185.520 + 321.330i) q^{9} +O(q^{10})\) \(q-14.0830i q^{2} +(-28.7233 - 16.5834i) q^{3} -134.330 q^{4} +(147.495 + 85.1564i) q^{5} +(-233.544 + 404.510i) q^{6} +(-245.226 + 141.581i) q^{7} +990.457i q^{8} +(185.520 + 321.330i) q^{9} +(1199.26 - 2077.17i) q^{10} -907.989 q^{11} +(3858.41 + 2227.65i) q^{12} +(1023.00 + 1771.88i) q^{13} +(1993.89 + 3453.51i) q^{14} +(-2824.37 - 4891.95i) q^{15} +5351.46 q^{16} +(-3803.60 - 6588.04i) q^{17} +(4525.28 - 2612.67i) q^{18} +(5714.09 + 3299.03i) q^{19} +(-19813.1 - 11439.1i) q^{20} +9391.61 q^{21} +12787.2i q^{22} +(-8931.65 + 15470.1i) q^{23} +(16425.2 - 28449.2i) q^{24} +(6690.73 + 11588.7i) q^{25} +(24953.4 - 14406.8i) q^{26} +11872.4i q^{27} +(32941.2 - 19018.6i) q^{28} +(19886.7 - 11481.6i) q^{29} +(-68893.2 + 39775.5i) q^{30} +(-23828.4 + 41272.1i) q^{31} -11975.2i q^{32} +(26080.5 + 15057.6i) q^{33} +(-92779.1 + 53566.1i) q^{34} -48226.2 q^{35} +(-24920.9 - 43164.3i) q^{36} +(44454.8 + 25666.0i) q^{37} +(46460.2 - 80471.4i) q^{38} -67859.1i q^{39} +(-84343.8 + 146088. i) q^{40} -57173.8 q^{41} -132262. i q^{42} +(-24225.9 - 75726.3i) q^{43} +121970. q^{44} +63192.8i q^{45} +(217865. + 125784. i) q^{46} -146686. q^{47} +(-153712. - 88745.5i) q^{48} +(-18734.0 + 32448.2i) q^{49} +(163203. - 94225.4i) q^{50} +252307. i q^{51} +(-137419. - 238017. i) q^{52} +(57188.6 - 99053.6i) q^{53} +167199. q^{54} +(-133924. - 77321.1i) q^{55} +(-140230. - 242886. i) q^{56} +(-109418. - 189518. i) q^{57} +(-161695. - 280063. i) q^{58} -93833.8 q^{59} +(379398. + 657137. i) q^{60} +(-171840. + 99211.9i) q^{61} +(581233. + 335575. i) q^{62} +(-90988.6 - 52532.3i) q^{63} +173848. q^{64} +348459. i q^{65} +(212055. - 367291. i) q^{66} +(82442.2 - 142794. i) q^{67} +(510939. + 884972. i) q^{68} +(513093. - 296235. i) q^{69} +679168. i q^{70} +(-593710. + 342779. i) q^{71} +(-318264. + 183750. i) q^{72} +(-9402.34 + 5428.44i) q^{73} +(361454. - 626056. i) q^{74} -443821. i q^{75} +(-767575. - 443159. i) q^{76} +(222663. - 128554. i) q^{77} -955658. q^{78} +(201033. + 348199. i) q^{79} +(789314. + 455711. i) q^{80} +(332129. - 575265. i) q^{81} +805177. i q^{82} +(134493. - 232949. i) q^{83} -1.26158e6 q^{84} -1.29561e6i q^{85} +(-1.06645e6 + 341173. i) q^{86} -761615. q^{87} -899325. i q^{88} +(341386. + 197099. i) q^{89} +889943. q^{90} +(-501730. - 289674. i) q^{91} +(1.19979e6 - 2.07810e6i) q^{92} +(1.36886e6 - 790314. i) q^{93} +2.06577e6i q^{94} +(561867. + 973183. i) q^{95} +(-198589. + 343966. i) q^{96} -1.75894e6 q^{97} +(456968. + 263830. i) q^{98} +(-168450. - 291764. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 14.0830i 1.76037i −0.474629 0.880186i \(-0.657418\pi\)
0.474629 0.880186i \(-0.342582\pi\)
\(3\) −28.7233 16.5834i −1.06383 0.614201i −0.137339 0.990524i \(-0.543855\pi\)
−0.926488 + 0.376323i \(0.877188\pi\)
\(4\) −134.330 −2.09891
\(5\) 147.495 + 85.1564i 1.17996 + 0.681251i 0.956006 0.293348i \(-0.0947694\pi\)
0.223956 + 0.974599i \(0.428103\pi\)
\(6\) −233.544 + 404.510i −1.08122 + 1.87273i
\(7\) −245.226 + 141.581i −0.714944 + 0.412773i −0.812889 0.582419i \(-0.802107\pi\)
0.0979447 + 0.995192i \(0.468773\pi\)
\(8\) 990.457i 1.93449i
\(9\) 185.520 + 321.330i 0.254485 + 0.440782i
\(10\) 1199.26 2077.17i 1.19926 2.07717i
\(11\) −907.989 −0.682186 −0.341093 0.940030i \(-0.610797\pi\)
−0.341093 + 0.940030i \(0.610797\pi\)
\(12\) 3858.41 + 2227.65i 2.23288 + 1.28915i
\(13\) 1023.00 + 1771.88i 0.465633 + 0.806500i 0.999230 0.0392388i \(-0.0124933\pi\)
−0.533597 + 0.845739i \(0.679160\pi\)
\(14\) 1993.89 + 3453.51i 0.726634 + 1.25857i
\(15\) −2824.37 4891.95i −0.836850 1.44947i
\(16\) 5351.46 1.30651
\(17\) −3803.60 6588.04i −0.774192 1.34094i −0.935248 0.353994i \(-0.884823\pi\)
0.161056 0.986945i \(-0.448510\pi\)
\(18\) 4525.28 2612.67i 0.775940 0.447989i
\(19\) 5714.09 + 3299.03i 0.833079 + 0.480979i 0.854906 0.518783i \(-0.173615\pi\)
−0.0218265 + 0.999762i \(0.506948\pi\)
\(20\) −19813.1 11439.1i −2.47663 1.42988i
\(21\) 9391.61 1.01410
\(22\) 12787.2i 1.20090i
\(23\) −8931.65 + 15470.1i −0.734088 + 1.27148i 0.221034 + 0.975266i \(0.429057\pi\)
−0.955122 + 0.296212i \(0.904277\pi\)
\(24\) 16425.2 28449.2i 1.18816 2.05796i
\(25\) 6690.73 + 11588.7i 0.428207 + 0.741676i
\(26\) 24953.4 14406.8i 1.41974 0.819687i
\(27\) 11872.4i 0.603181i
\(28\) 32941.2 19018.6i 1.50060 0.866373i
\(29\) 19886.7 11481.6i 0.815395 0.470769i −0.0334308 0.999441i \(-0.510643\pi\)
0.848826 + 0.528672i \(0.177310\pi\)
\(30\) −68893.2 + 39775.5i −2.55160 + 1.47317i
\(31\) −23828.4 + 41272.1i −0.799853 + 1.38539i 0.119858 + 0.992791i \(0.461756\pi\)
−0.919711 + 0.392596i \(0.871577\pi\)
\(32\) 11975.2i 0.365453i
\(33\) 26080.5 + 15057.6i 0.725728 + 0.418999i
\(34\) −92779.1 + 53566.1i −2.36055 + 1.36287i
\(35\) −48226.2 −1.12481
\(36\) −24920.9 43164.3i −0.534142 0.925160i
\(37\) 44454.8 + 25666.0i 0.877635 + 0.506703i 0.869878 0.493267i \(-0.164197\pi\)
0.00775705 + 0.999970i \(0.497531\pi\)
\(38\) 46460.2 80471.4i 0.846701 1.46653i
\(39\) 67859.1i 1.14397i
\(40\) −84343.8 + 146088.i −1.31787 + 2.28262i
\(41\) −57173.8 −0.829555 −0.414778 0.909923i \(-0.636141\pi\)
−0.414778 + 0.909923i \(0.636141\pi\)
\(42\) 132262.i 1.78520i
\(43\) −24225.9 75726.3i −0.304702 0.952448i
\(44\) 121970. 1.43185
\(45\) 63192.8i 0.693474i
\(46\) 217865. + 125784.i 2.23827 + 1.29227i
\(47\) −146686. −1.41284 −0.706422 0.707791i \(-0.749692\pi\)
−0.706422 + 0.707791i \(0.749692\pi\)
\(48\) −153712. 88745.5i −1.38990 0.802458i
\(49\) −18734.0 + 32448.2i −0.159236 + 0.275805i
\(50\) 163203. 94225.4i 1.30563 0.753803i
\(51\) 252307.i 1.90204i
\(52\) −137419. 238017.i −0.977321 1.69277i
\(53\) 57188.6 99053.6i 0.384133 0.665338i −0.607515 0.794308i \(-0.707834\pi\)
0.991649 + 0.128970i \(0.0411670\pi\)
\(54\) 167199. 1.06182
\(55\) −133924. 77321.1i −0.804953 0.464740i
\(56\) −140230. 242886.i −0.798505 1.38305i
\(57\) −109418. 189518.i −0.590835 1.02336i
\(58\) −161695. 280063.i −0.828728 1.43540i
\(59\) −93833.8 −0.456881 −0.228440 0.973558i \(-0.573363\pi\)
−0.228440 + 0.973558i \(0.573363\pi\)
\(60\) 379398. + 657137.i 1.75647 + 3.04230i
\(61\) −171840. + 99211.9i −0.757068 + 0.437093i −0.828242 0.560371i \(-0.810659\pi\)
0.0711742 + 0.997464i \(0.477325\pi\)
\(62\) 581233. + 335575.i 2.43880 + 1.40804i
\(63\) −90988.6 52532.3i −0.363886 0.210090i
\(64\) 173848. 0.663176
\(65\) 348459.i 1.26885i
\(66\) 212055. 367291.i 0.737594 1.27755i
\(67\) 82442.2 142794.i 0.274110 0.474773i −0.695800 0.718236i \(-0.744950\pi\)
0.969910 + 0.243463i \(0.0782833\pi\)
\(68\) 510939. + 884972.i 1.62496 + 2.81451i
\(69\) 513093. 296235.i 1.56189 0.901755i
\(70\) 679168.i 1.98008i
\(71\) −593710. + 342779.i −1.65882 + 0.957720i −0.685560 + 0.728017i \(0.740442\pi\)
−0.973261 + 0.229704i \(0.926224\pi\)
\(72\) −318264. + 183750.i −0.852687 + 0.492299i
\(73\) −9402.34 + 5428.44i −0.0241695 + 0.0139543i −0.512036 0.858964i \(-0.671109\pi\)
0.487867 + 0.872918i \(0.337775\pi\)
\(74\) 361454. 626056.i 0.891985 1.54496i
\(75\) 443821.i 1.05202i
\(76\) −767575. 443159.i −1.74856 1.00953i
\(77\) 222663. 128554.i 0.487725 0.281588i
\(78\) −955658. −2.01381
\(79\) 201033. + 348199.i 0.407742 + 0.706229i 0.994636 0.103434i \(-0.0329831\pi\)
−0.586895 + 0.809663i \(0.699650\pi\)
\(80\) 789314. + 455711.i 1.54163 + 0.890060i
\(81\) 332129. 575265.i 0.624960 1.08246i
\(82\) 805177.i 1.46033i
\(83\) 134493. 232949.i 0.235215 0.407405i −0.724120 0.689674i \(-0.757754\pi\)
0.959335 + 0.282269i \(0.0910872\pi\)
\(84\) −1.26158e6 −2.12851
\(85\) 1.29561e6i 2.10968i
\(86\) −1.06645e6 + 341173.i −1.67666 + 0.536389i
\(87\) −761615. −1.15659
\(88\) 899325.i 1.31968i
\(89\) 341386. + 197099.i 0.484257 + 0.279586i 0.722189 0.691696i \(-0.243136\pi\)
−0.237932 + 0.971282i \(0.576469\pi\)
\(90\) 889943. 1.22077
\(91\) −501730. 289674.i −0.665804 0.384402i
\(92\) 1.19979e6 2.07810e6i 1.54078 2.66872i
\(93\) 1.36886e6 790314.i 1.70181 0.982541i
\(94\) 2.06577e6i 2.48713i
\(95\) 561867. + 973183.i 0.655335 + 1.13507i
\(96\) −198589. + 343966.i −0.224461 + 0.388778i
\(97\) −1.75894e6 −1.92724 −0.963620 0.267277i \(-0.913876\pi\)
−0.963620 + 0.267277i \(0.913876\pi\)
\(98\) 456968. + 263830.i 0.485520 + 0.280315i
\(99\) −168450. 291764.i −0.173606 0.300695i
\(100\) −898767. 1.55671e6i −0.898767 1.55671i
\(101\) 173349. + 300249.i 0.168251 + 0.291419i 0.937805 0.347163i \(-0.112855\pi\)
−0.769554 + 0.638581i \(0.779522\pi\)
\(102\) 3.55323e6 3.34829
\(103\) −538377. 932496.i −0.492691 0.853366i 0.507273 0.861785i \(-0.330653\pi\)
−0.999965 + 0.00841907i \(0.997320\pi\)
\(104\) −1.75497e6 + 1.01323e6i −1.56016 + 0.900761i
\(105\) 1.38522e6 + 799756.i 1.19660 + 0.690859i
\(106\) −1.39497e6 805386.i −1.17124 0.676217i
\(107\) −54696.5 −0.0446486 −0.0223243 0.999751i \(-0.507107\pi\)
−0.0223243 + 0.999751i \(0.507107\pi\)
\(108\) 1.59482e6i 1.26602i
\(109\) −1.01099e6 + 1.75109e6i −0.780670 + 1.35216i 0.150882 + 0.988552i \(0.451788\pi\)
−0.931552 + 0.363608i \(0.881545\pi\)
\(110\) −1.08891e6 + 1.88605e6i −0.818115 + 1.41702i
\(111\) −851261. 1.47443e6i −0.622435 1.07809i
\(112\) −1.31232e6 + 757666.i −0.934081 + 0.539292i
\(113\) 53410.1i 0.0370159i −0.999829 0.0185080i \(-0.994108\pi\)
0.999829 0.0185080i \(-0.00589160\pi\)
\(114\) −2.66898e6 + 1.54094e6i −1.80149 + 1.04009i
\(115\) −2.63475e6 + 1.52117e6i −1.73239 + 1.00020i
\(116\) −2.67138e6 + 1.54232e6i −1.71144 + 0.988100i
\(117\) −379572. + 657438.i −0.236994 + 0.410485i
\(118\) 1.32146e6i 0.804280i
\(119\) 1.86548e6 + 1.07704e6i 1.10701 + 0.639131i
\(120\) 4.84527e6 2.79742e6i 2.80398 1.61888i
\(121\) −947116. −0.534622
\(122\) 1.39720e6 + 2.42002e6i 0.769447 + 1.33272i
\(123\) 1.64222e6 + 948137.i 0.882503 + 0.509514i
\(124\) 3.20088e6 5.54408e6i 1.67882 2.90780i
\(125\) 382104.i 0.195637i
\(126\) −739811. + 1.28139e6i −0.369836 + 0.640574i
\(127\) 3.53436e6 1.72544 0.862719 0.505684i \(-0.168760\pi\)
0.862719 + 0.505684i \(0.168760\pi\)
\(128\) 3.21470e6i 1.53289i
\(129\) −559951. + 2.57686e6i −0.260844 + 1.20039i
\(130\) 4.90733e6 2.23365
\(131\) 345718.i 0.153783i −0.997039 0.0768916i \(-0.975500\pi\)
0.997039 0.0768916i \(-0.0244995\pi\)
\(132\) −3.50339e6 2.02269e6i −1.52324 0.879441i
\(133\) −1.86832e6 −0.794140
\(134\) −2.01097e6 1.16103e6i −0.835777 0.482536i
\(135\) −1.01101e6 + 1.75112e6i −0.410918 + 0.711731i
\(136\) 6.52517e6 3.76731e6i 2.59403 1.49766i
\(137\) 1.21745e6i 0.473467i −0.971575 0.236733i \(-0.923923\pi\)
0.971575 0.236733i \(-0.0760768\pi\)
\(138\) −4.17186e6 7.22588e6i −1.58742 2.74950i
\(139\) −669754. + 1.16005e6i −0.249385 + 0.431948i −0.963355 0.268228i \(-0.913562\pi\)
0.713970 + 0.700176i \(0.246895\pi\)
\(140\) 6.47823e6 2.36087
\(141\) 4.21330e6 + 2.43255e6i 1.50302 + 0.867770i
\(142\) 4.82734e6 + 8.36120e6i 1.68594 + 2.92014i
\(143\) −928870. 1.60885e6i −0.317648 0.550183i
\(144\) 992802. + 1.71958e6i 0.332487 + 0.575885i
\(145\) 3.91092e6 1.28285
\(146\) 76448.6 + 132413.i 0.0245647 + 0.0425473i
\(147\) 1.07621e6 621348.i 0.338800 0.195606i
\(148\) −5.97163e6 3.44772e6i −1.84208 1.06352i
\(149\) −1.54250e6 890560.i −0.466300 0.269218i 0.248390 0.968660i \(-0.420099\pi\)
−0.714689 + 0.699442i \(0.753432\pi\)
\(150\) −6.25032e6 −1.85195
\(151\) 3.15162e6i 0.915384i −0.889111 0.457692i \(-0.848676\pi\)
0.889111 0.457692i \(-0.151324\pi\)
\(152\) −3.26755e6 + 5.65956e6i −0.930447 + 1.61158i
\(153\) 1.41129e6 2.44442e6i 0.394041 0.682499i
\(154\) −1.81043e6 3.13575e6i −0.495700 0.858577i
\(155\) −7.02916e6 + 4.05829e6i −1.88759 + 1.08980i
\(156\) 9.11552e6i 2.40109i
\(157\) −1.70149e6 + 982356.i −0.439674 + 0.253846i −0.703459 0.710736i \(-0.748362\pi\)
0.263785 + 0.964581i \(0.415029\pi\)
\(158\) 4.90367e6 2.83114e6i 1.24323 0.717777i
\(159\) −3.28530e6 + 1.89677e6i −0.817303 + 0.471870i
\(160\) 1.01976e6 1.76628e6i 0.248965 0.431220i
\(161\) 5.05822e6i 1.21205i
\(162\) −8.10144e6 4.67737e6i −1.90554 1.10016i
\(163\) 3.19760e6 1.84614e6i 0.738349 0.426286i −0.0831199 0.996540i \(-0.526488\pi\)
0.821469 + 0.570254i \(0.193155\pi\)
\(164\) 7.68016e6 1.74116
\(165\) 2.56450e6 + 4.44184e6i 0.570887 + 0.988806i
\(166\) −3.28061e6 1.89406e6i −0.717184 0.414066i
\(167\) 3.37967e6 5.85375e6i 0.725645 1.25685i −0.233063 0.972462i \(-0.574875\pi\)
0.958708 0.284393i \(-0.0917919\pi\)
\(168\) 9.30199e6i 1.96177i
\(169\) 320363. 554884.i 0.0663715 0.114959i
\(170\) −1.82460e7 −3.71381
\(171\) 2.44814e6i 0.489608i
\(172\) 3.25427e6 + 1.01723e7i 0.639541 + 1.99910i
\(173\) 7.24589e6 1.39944 0.699719 0.714418i \(-0.253309\pi\)
0.699719 + 0.714418i \(0.253309\pi\)
\(174\) 1.07258e7i 2.03602i
\(175\) −3.28148e6 1.89456e6i −0.612288 0.353505i
\(176\) −4.85907e6 −0.891281
\(177\) 2.69522e6 + 1.55609e6i 0.486042 + 0.280617i
\(178\) 2.77575e6 4.80773e6i 0.492175 0.852472i
\(179\) 818613. 472626.i 0.142731 0.0824060i −0.426934 0.904283i \(-0.640406\pi\)
0.569665 + 0.821877i \(0.307073\pi\)
\(180\) 8.48870e6i 1.45554i
\(181\) 1.84184e6 + 3.19016e6i 0.310610 + 0.537992i 0.978495 0.206272i \(-0.0661333\pi\)
−0.667884 + 0.744265i \(0.732800\pi\)
\(182\) −4.07947e6 + 7.06585e6i −0.676690 + 1.17206i
\(183\) 6.58109e6 1.07385
\(184\) −1.53224e7 8.84642e6i −2.45966 1.42008i
\(185\) 4.37125e6 + 7.57123e6i 0.690384 + 1.19578i
\(186\) −1.11300e7 1.92777e7i −1.72964 2.99582i
\(187\) 3.45363e6 + 5.98187e6i 0.528143 + 0.914770i
\(188\) 1.97043e7 2.96543
\(189\) −1.68091e6 2.91142e6i −0.248977 0.431241i
\(190\) 1.37053e7 7.91276e6i 1.99815 1.15363i
\(191\) −1.76482e6 1.01892e6i −0.253280 0.146231i 0.367985 0.929832i \(-0.380048\pi\)
−0.621265 + 0.783600i \(0.713381\pi\)
\(192\) −4.99348e6 2.88299e6i −0.705504 0.407323i
\(193\) −5.79058e6 −0.805471 −0.402736 0.915316i \(-0.631941\pi\)
−0.402736 + 0.915316i \(0.631941\pi\)
\(194\) 2.47711e7i 3.39266i
\(195\) 5.77864e6 1.00089e7i 0.779331 1.34984i
\(196\) 2.51654e6 4.35878e6i 0.334222 0.578890i
\(197\) −671430. 1.16295e6i −0.0878218 0.152112i 0.818768 0.574124i \(-0.194657\pi\)
−0.906590 + 0.422012i \(0.861324\pi\)
\(198\) −4.10891e6 + 2.37228e6i −0.529335 + 0.305612i
\(199\) 8.49116e6i 1.07748i −0.842473 0.538738i \(-0.818901\pi\)
0.842473 0.538738i \(-0.181099\pi\)
\(200\) −1.14781e7 + 6.62688e6i −1.43476 + 0.828360i
\(201\) −4.73603e6 + 2.73435e6i −0.583212 + 0.336718i
\(202\) 4.22840e6 2.44127e6i 0.513005 0.296184i
\(203\) −3.25115e6 + 5.63116e6i −0.388641 + 0.673147i
\(204\) 3.38924e7i 3.99220i
\(205\) −8.43286e6 4.86871e6i −0.978844 0.565136i
\(206\) −1.31323e7 + 7.58195e6i −1.50224 + 0.867320i
\(207\) −6.62799e6 −0.747259
\(208\) 5.47452e6 + 9.48215e6i 0.608353 + 1.05370i
\(209\) −5.18833e6 2.99549e6i −0.568315 0.328117i
\(210\) 1.12629e7 1.95080e7i 1.21617 2.10647i
\(211\) 3.61400e6i 0.384717i 0.981325 + 0.192358i \(0.0616136\pi\)
−0.981325 + 0.192358i \(0.938386\pi\)
\(212\) −7.68215e6 + 1.33059e7i −0.806261 + 1.39648i
\(213\) 2.27378e7 2.35293
\(214\) 770289.i 0.0785981i
\(215\) 2.87537e6 1.32323e7i 0.289320 1.33143i
\(216\) −1.17591e7 −1.16685
\(217\) 1.34946e7i 1.32063i
\(218\) 2.46605e7 + 1.42377e7i 2.38030 + 1.37427i
\(219\) 360089. 0.0342829
\(220\) 1.79900e7 + 1.03866e7i 1.68952 + 0.975447i
\(221\) 7.78214e6 1.34791e7i 0.720979 1.24877i
\(222\) −2.07643e7 + 1.19883e7i −1.89784 + 1.09572i
\(223\) 6.63689e6i 0.598480i 0.954178 + 0.299240i \(0.0967331\pi\)
−0.954178 + 0.299240i \(0.903267\pi\)
\(224\) 1.69546e6 + 2.93662e6i 0.150849 + 0.261278i
\(225\) −2.48253e6 + 4.29986e6i −0.217945 + 0.377491i
\(226\) −752174. −0.0651618
\(227\) −2.38739e6 1.37836e6i −0.204101 0.117838i 0.394466 0.918911i \(-0.370930\pi\)
−0.598567 + 0.801073i \(0.704263\pi\)
\(228\) 1.46982e7 + 2.54580e7i 1.24011 + 2.14793i
\(229\) 1.05828e7 + 1.83300e7i 0.881242 + 1.52636i 0.849961 + 0.526845i \(0.176625\pi\)
0.0312804 + 0.999511i \(0.490042\pi\)
\(230\) 2.14227e7 + 3.71051e7i 1.76072 + 3.04965i
\(231\) −8.52748e6 −0.691807
\(232\) 1.13720e7 + 1.96969e7i 0.910696 + 1.57737i
\(233\) −5.02056e6 + 2.89862e6i −0.396903 + 0.229152i −0.685147 0.728405i \(-0.740262\pi\)
0.288244 + 0.957557i \(0.406929\pi\)
\(234\) 9.25869e6 + 5.34551e6i 0.722606 + 0.417197i
\(235\) −2.16354e7 1.24912e7i −1.66710 0.962502i
\(236\) 1.26047e7 0.958951
\(237\) 1.33352e7i 1.00174i
\(238\) 1.51679e7 2.62716e7i 1.12511 1.94875i
\(239\) 7.08410e6 1.22700e7i 0.518909 0.898777i −0.480850 0.876803i \(-0.659672\pi\)
0.999759 0.0219736i \(-0.00699499\pi\)
\(240\) −1.51145e7 2.61791e7i −1.09335 1.89374i
\(241\) −1.47331e7 + 8.50617e6i −1.05255 + 0.607691i −0.923363 0.383928i \(-0.874571\pi\)
−0.129190 + 0.991620i \(0.541238\pi\)
\(242\) 1.33382e7i 0.941134i
\(243\) −1.15843e7 + 6.68819e6i −0.807328 + 0.466111i
\(244\) 2.30833e7 1.33271e7i 1.58902 0.917419i
\(245\) −5.52635e6 + 3.19064e6i −0.375786 + 0.216960i
\(246\) 1.33526e7 2.31274e7i 0.896933 1.55353i
\(247\) 1.34996e7i 0.895838i
\(248\) −4.08782e7 2.36010e7i −2.68001 1.54731i
\(249\) −7.72617e6 + 4.46071e6i −0.500457 + 0.288939i
\(250\) −5.38115e6 −0.344394
\(251\) 6.64795e6 + 1.15146e7i 0.420404 + 0.728161i 0.995979 0.0895881i \(-0.0285551\pi\)
−0.575575 + 0.817749i \(0.695222\pi\)
\(252\) 1.22225e7 + 7.05667e6i 0.763763 + 0.440959i
\(253\) 8.10984e6 1.40467e7i 0.500785 0.867384i
\(254\) 4.97742e7i 3.03741i
\(255\) −2.14856e7 + 3.72141e7i −1.29577 + 2.24433i
\(256\) −3.41463e7 −2.03528
\(257\) 2.87939e7i 1.69629i 0.529763 + 0.848146i \(0.322281\pi\)
−0.529763 + 0.848146i \(0.677719\pi\)
\(258\) 3.62898e7 + 7.88578e6i 2.11313 + 0.459183i
\(259\) −1.45353e7 −0.836614
\(260\) 4.68085e7i 2.66321i
\(261\) 7.37875e6 + 4.26012e6i 0.415012 + 0.239607i
\(262\) −4.86874e6 −0.270715
\(263\) 3.78969e6 + 2.18798e6i 0.208322 + 0.120275i 0.600532 0.799601i \(-0.294956\pi\)
−0.392209 + 0.919876i \(0.628289\pi\)
\(264\) −1.49139e7 + 2.58316e7i −0.810549 + 1.40391i
\(265\) 1.68701e7 9.73996e6i 0.906525 0.523383i
\(266\) 2.63116e7i 1.39798i
\(267\) −6.53717e6 1.13227e7i −0.343444 0.594862i
\(268\) −1.10745e7 + 1.91816e7i −0.575332 + 0.996505i
\(269\) −1.36480e7 −0.701154 −0.350577 0.936534i \(-0.614015\pi\)
−0.350577 + 0.936534i \(0.614015\pi\)
\(270\) 2.46610e7 + 1.42381e7i 1.25291 + 0.723368i
\(271\) 3.38080e6 + 5.85572e6i 0.169868 + 0.294220i 0.938373 0.345623i \(-0.112332\pi\)
−0.768505 + 0.639844i \(0.778999\pi\)
\(272\) −2.03548e7 3.52556e7i −1.01149 1.75195i
\(273\) 9.60758e6 + 1.66408e7i 0.472200 + 0.817874i
\(274\) −1.71453e7 −0.833477
\(275\) −6.07511e6 1.05224e7i −0.292117 0.505961i
\(276\) −6.89239e7 + 3.97932e7i −3.27825 + 1.89270i
\(277\) 6.82908e6 + 3.94277e6i 0.321309 + 0.185508i 0.651976 0.758240i \(-0.273940\pi\)
−0.330667 + 0.943748i \(0.607274\pi\)
\(278\) 1.63369e7 + 9.43213e6i 0.760390 + 0.439011i
\(279\) −1.76826e7 −0.814204
\(280\) 4.77660e7i 2.17593i
\(281\) 4.10719e6 7.11386e6i 0.185108 0.320617i −0.758505 0.651668i \(-0.774070\pi\)
0.943613 + 0.331051i \(0.107403\pi\)
\(282\) 3.42575e7 5.93358e7i 1.52760 2.64588i
\(283\) −1.10085e7 1.90673e7i −0.485701 0.841259i 0.514164 0.857692i \(-0.328102\pi\)
−0.999865 + 0.0164329i \(0.994769\pi\)
\(284\) 7.97531e7 4.60455e7i 3.48171 2.01017i
\(285\) 3.72707e7i 1.61003i
\(286\) −2.26574e7 + 1.30812e7i −0.968527 + 0.559179i
\(287\) 1.40205e7 8.09474e6i 0.593086 0.342418i
\(288\) 3.84797e6 2.22163e6i 0.161085 0.0930024i
\(289\) −1.68660e7 + 2.92128e7i −0.698746 + 1.21026i
\(290\) 5.50774e7i 2.25829i
\(291\) 5.05226e7 + 2.91692e7i 2.05025 + 1.18371i
\(292\) 1.26302e6 729203.i 0.0507295 0.0292887i
\(293\) 9.03522e6 0.359200 0.179600 0.983740i \(-0.442520\pi\)
0.179600 + 0.983740i \(0.442520\pi\)
\(294\) −8.75042e6 1.51562e7i −0.344340 0.596414i
\(295\) −1.38400e7 7.99055e6i −0.539102 0.311251i
\(296\) −2.54211e7 + 4.40306e7i −0.980210 + 1.69777i
\(297\) 1.07800e7i 0.411482i
\(298\) −1.25417e7 + 2.17229e7i −0.473924 + 0.820861i
\(299\) −3.65482e7 −1.36726
\(300\) 5.96185e7i 2.20809i
\(301\) 1.66622e7 + 1.51401e7i 0.610990 + 0.555174i
\(302\) −4.43842e7 −1.61142
\(303\) 1.14989e7i 0.413359i
\(304\) 3.05787e7 + 1.76546e7i 1.08842 + 0.628402i
\(305\) −3.37941e7 −1.19108
\(306\) −3.44247e7 1.98751e7i −1.20145 0.693659i
\(307\) −5.29128e6 + 9.16477e6i −0.182871 + 0.316742i −0.942857 0.333197i \(-0.891873\pi\)
0.759986 + 0.649940i \(0.225206\pi\)
\(308\) −2.99103e7 + 1.72687e7i −1.02369 + 0.591028i
\(309\) 3.57125e7i 1.21045i
\(310\) 5.71528e7 + 9.89915e7i 1.91846 + 3.32287i
\(311\) 1.26179e7 2.18549e7i 0.419476 0.726553i −0.576411 0.817160i \(-0.695547\pi\)
0.995887 + 0.0906068i \(0.0288807\pi\)
\(312\) 6.72116e7 2.21299
\(313\) −1.70090e7 9.82013e6i −0.554683 0.320246i 0.196326 0.980539i \(-0.437099\pi\)
−0.751009 + 0.660292i \(0.770432\pi\)
\(314\) 1.38345e7 + 2.39621e7i 0.446863 + 0.773990i
\(315\) −8.94692e6 1.54965e7i −0.286248 0.495795i
\(316\) −2.70047e7 4.67736e7i −0.855812 1.48231i
\(317\) 3.29909e7 1.03566 0.517830 0.855484i \(-0.326740\pi\)
0.517830 + 0.855484i \(0.326740\pi\)
\(318\) 2.67121e7 + 4.62667e7i 0.830667 + 1.43876i
\(319\) −1.80569e7 + 1.04251e7i −0.556251 + 0.321152i
\(320\) 2.56417e7 + 1.48042e7i 0.782522 + 0.451789i
\(321\) 1.57106e6 + 907055.i 0.0474984 + 0.0274232i
\(322\) −7.12347e7 −2.13365
\(323\) 5.01928e7i 1.48948i
\(324\) −4.46150e7 + 7.72754e7i −1.31173 + 2.27199i
\(325\) −1.36892e7 + 2.37104e7i −0.398775 + 0.690698i
\(326\) −2.59991e7 4.50317e7i −0.750421 1.29977i
\(327\) 5.80780e7 3.35313e7i 1.66100 0.958976i
\(328\) 5.66282e7i 1.60476i
\(329\) 3.59711e7 2.07679e7i 1.01010 0.583184i
\(330\) 6.25543e7 3.61158e7i 1.74067 1.00497i
\(331\) −3.17877e7 + 1.83526e7i −0.876546 + 0.506074i −0.869518 0.493901i \(-0.835570\pi\)
−0.00702805 + 0.999975i \(0.502237\pi\)
\(332\) −1.80665e7 + 3.12920e7i −0.493695 + 0.855105i
\(333\) 1.90462e7i 0.515794i
\(334\) −8.24382e7 4.75957e7i −2.21253 1.27741i
\(335\) 2.43197e7 1.40410e7i 0.646880 0.373476i
\(336\) 5.02588e7 1.32493
\(337\) 1.93373e7 + 3.34931e7i 0.505249 + 0.875117i 0.999982 + 0.00607192i \(0.00193277\pi\)
−0.494732 + 0.869045i \(0.664734\pi\)
\(338\) −7.81442e6 4.51166e6i −0.202370 0.116839i
\(339\) −885723. + 1.53412e6i −0.0227352 + 0.0393785i
\(340\) 1.74039e8i 4.42802i
\(341\) 2.16360e7 3.74746e7i 0.545649 0.945091i
\(342\) 3.44771e7 0.861892
\(343\) 4.39233e7i 1.08846i
\(344\) 7.50036e7 2.39948e7i 1.84250 0.589442i
\(345\) 1.00905e8 2.45729
\(346\) 1.02044e8i 2.46353i
\(347\) −4.84180e7 2.79542e7i −1.15883 0.669049i −0.207805 0.978170i \(-0.566632\pi\)
−0.951023 + 0.309121i \(0.899965\pi\)
\(348\) 1.02308e8 2.42757
\(349\) 3.93228e7 + 2.27030e7i 0.925055 + 0.534081i 0.885244 0.465126i \(-0.153991\pi\)
0.0398109 + 0.999207i \(0.487324\pi\)
\(350\) −2.66811e7 + 4.62130e7i −0.622300 + 1.07785i
\(351\) −2.10365e7 + 1.21454e7i −0.486466 + 0.280861i
\(352\) 1.08733e7i 0.249307i
\(353\) −1.10551e7 1.91481e7i −0.251328 0.435312i 0.712564 0.701607i \(-0.247534\pi\)
−0.963892 + 0.266295i \(0.914200\pi\)
\(354\) 2.19143e7 3.79567e7i 0.493990 0.855615i
\(355\) −1.16759e8 −2.60979
\(356\) −4.58585e7 2.64764e7i −1.01641 0.586825i
\(357\) −3.57220e7 6.18722e7i −0.785110 1.35985i
\(358\) −6.65598e6 1.15285e7i −0.145065 0.251260i
\(359\) 3.02968e7 + 5.24755e7i 0.654806 + 1.13416i 0.981942 + 0.189181i \(0.0605831\pi\)
−0.327136 + 0.944977i \(0.606084\pi\)
\(360\) −6.25898e7 −1.34152
\(361\) −1.75572e6 3.04099e6i −0.0373193 0.0646389i
\(362\) 4.49269e7 2.59385e7i 0.947067 0.546789i
\(363\) 2.72043e7 + 1.57064e7i 0.568746 + 0.328366i
\(364\) 6.73975e7 + 3.89120e7i 1.39746 + 0.806824i
\(365\) −1.84907e6 −0.0380254
\(366\) 9.26813e7i 1.89038i
\(367\) −3.58199e7 + 6.20418e7i −0.724646 + 1.25512i 0.234474 + 0.972122i \(0.424663\pi\)
−0.959120 + 0.283001i \(0.908670\pi\)
\(368\) −4.77973e7 + 8.27874e7i −0.959092 + 1.66120i
\(369\) −1.06069e7 1.83716e7i −0.211110 0.365653i
\(370\) 1.06625e8 6.15602e7i 2.10502 1.21533i
\(371\) 3.23873e7i 0.634240i
\(372\) −1.83880e8 + 1.06163e8i −3.57195 + 2.06226i
\(373\) 7.82604e7 4.51836e7i 1.50805 0.870672i 0.508093 0.861302i \(-0.330351\pi\)
0.999956 0.00937000i \(-0.00298261\pi\)
\(374\) 8.42425e7 4.86374e7i 1.61034 0.929727i
\(375\) −6.33658e6 + 1.09753e7i −0.120160 + 0.208124i
\(376\) 1.45286e8i 2.73313i
\(377\) 4.06880e7 + 2.34912e7i 0.759350 + 0.438411i
\(378\) −4.10015e7 + 2.36722e7i −0.759144 + 0.438292i
\(379\) −8.65122e7 −1.58913 −0.794565 0.607179i \(-0.792301\pi\)
−0.794565 + 0.607179i \(0.792301\pi\)
\(380\) −7.54757e7 1.30728e8i −1.37549 2.38241i
\(381\) −1.01518e8 5.86117e7i −1.83557 1.05977i
\(382\) −1.43494e7 + 2.48540e7i −0.257422 + 0.445867i
\(383\) 2.79970e7i 0.498328i −0.968461 0.249164i \(-0.919844\pi\)
0.968461 0.249164i \(-0.0801557\pi\)
\(384\) −5.33107e7 + 9.23369e7i −0.941501 + 1.63073i
\(385\) 4.37889e7 0.767329
\(386\) 8.15486e7i 1.41793i
\(387\) 1.98387e7 2.18332e7i 0.342279 0.376691i
\(388\) 2.36279e8 4.04510
\(389\) 8.21146e7i 1.39499i 0.716589 + 0.697496i \(0.245702\pi\)
−0.716589 + 0.697496i \(0.754298\pi\)
\(390\) −1.40955e8 8.13804e7i −2.37622 1.37191i
\(391\) 1.35890e8 2.27330
\(392\) −3.21386e7 1.85552e7i −0.533542 0.308041i
\(393\) −5.73320e6 + 9.93019e6i −0.0944537 + 0.163599i
\(394\) −1.63778e7 + 9.45574e6i −0.267773 + 0.154599i
\(395\) 6.84768e7i 1.11110i
\(396\) 2.26279e7 + 3.91927e7i 0.364384 + 0.631131i
\(397\) −2.58987e7 + 4.48578e7i −0.413910 + 0.716913i −0.995313 0.0967024i \(-0.969170\pi\)
0.581403 + 0.813615i \(0.302504\pi\)
\(398\) −1.19581e8 −1.89676
\(399\) 5.36645e7 + 3.09832e7i 0.844828 + 0.487762i
\(400\) 3.58052e7 + 6.20164e7i 0.559456 + 0.969005i
\(401\) −1.36021e7 2.35595e7i −0.210947 0.365370i 0.741064 0.671434i \(-0.234321\pi\)
−0.952011 + 0.306064i \(0.900988\pi\)
\(402\) 3.85078e7 + 6.66974e7i 0.592748 + 1.02667i
\(403\) −9.75056e7 −1.48975
\(404\) −2.32860e7 4.03325e7i −0.353143 0.611661i
\(405\) 9.79750e7 5.65659e7i 1.47486 0.851509i
\(406\) 7.93035e7 + 4.57859e7i 1.18499 + 0.684153i
\(407\) −4.03645e7 2.33045e7i −0.598710 0.345665i
\(408\) −2.49899e8 −3.67947
\(409\) 2.14296e7i 0.313216i −0.987661 0.156608i \(-0.949944\pi\)
0.987661 0.156608i \(-0.0500559\pi\)
\(410\) −6.85660e7 + 1.18760e8i −0.994849 + 1.72313i
\(411\) −2.01895e7 + 3.49692e7i −0.290804 + 0.503687i
\(412\) 7.23202e7 + 1.25262e8i 1.03411 + 1.79114i
\(413\) 2.30105e7 1.32851e7i 0.326645 0.188588i
\(414\) 9.33419e7i 1.31545i
\(415\) 3.96742e7 2.29059e7i 0.555090 0.320481i
\(416\) 2.12185e7 1.22505e7i 0.294738 0.170167i
\(417\) 3.84752e7 2.22136e7i 0.530606 0.306346i
\(418\) −4.21853e7 + 7.30672e7i −0.577607 + 1.00045i
\(419\) 8.20658e7i 1.11563i 0.829965 + 0.557815i \(0.188360\pi\)
−0.829965 + 0.557815i \(0.811640\pi\)
\(420\) −1.86076e8 1.07431e8i −2.51156 1.45005i
\(421\) 141325. 81594.2i 0.00189397 0.00109349i −0.499053 0.866572i \(-0.666319\pi\)
0.500947 + 0.865478i \(0.332985\pi\)
\(422\) 5.08959e7 0.677244
\(423\) −2.72131e7 4.71345e7i −0.359548 0.622756i
\(424\) 9.81084e7 + 5.66429e7i 1.28709 + 0.743101i
\(425\) 5.08978e7 8.81575e7i 0.663028 1.14840i
\(426\) 3.20215e8i 4.14203i
\(427\) 2.80931e7 4.86586e7i 0.360841 0.624995i
\(428\) 7.34738e6 0.0937133
\(429\) 6.16154e7i 0.780400i
\(430\) −1.86350e8 4.04937e7i −2.34381 0.509310i
\(431\) 8.86033e7 1.10667 0.553335 0.832959i \(-0.313355\pi\)
0.553335 + 0.832959i \(0.313355\pi\)
\(432\) 6.35347e7i 0.788061i
\(433\) −4.15534e7 2.39909e7i −0.511851 0.295517i 0.221743 0.975105i \(-0.428825\pi\)
−0.733594 + 0.679588i \(0.762159\pi\)
\(434\) −1.90045e8 −2.32480
\(435\) −1.12335e8 6.48564e7i −1.36473 0.787926i
\(436\) 1.35806e8 2.35224e8i 1.63855 2.83806i
\(437\) −1.02073e8 + 5.89316e7i −1.22311 + 0.706161i
\(438\) 5.07112e6i 0.0603506i
\(439\) 1.65111e6 + 2.85980e6i 0.0195156 + 0.0338020i 0.875618 0.483004i \(-0.160454\pi\)
−0.856103 + 0.516806i \(0.827121\pi\)
\(440\) 7.65833e7 1.32646e8i 0.899034 1.55717i
\(441\) −1.39021e7 −0.162093
\(442\) −1.89825e8 1.09596e8i −2.19830 1.26919i
\(443\) 1.80243e7 + 3.12191e7i 0.207323 + 0.359095i 0.950871 0.309589i \(-0.100191\pi\)
−0.743547 + 0.668684i \(0.766858\pi\)
\(444\) 1.14350e8 + 1.98060e8i 1.30643 + 2.26281i
\(445\) 3.35686e7 + 5.81425e7i 0.380937 + 0.659802i
\(446\) 9.34671e7 1.05355
\(447\) 2.95371e7 + 5.11597e7i 0.330708 + 0.572803i
\(448\) −4.26319e7 + 2.46136e7i −0.474134 + 0.273741i
\(449\) 5.69002e7 + 3.28514e7i 0.628601 + 0.362923i 0.780210 0.625518i \(-0.215112\pi\)
−0.151609 + 0.988441i \(0.548445\pi\)
\(450\) 6.05549e7 + 3.49614e7i 0.664525 + 0.383664i
\(451\) 5.19132e7 0.565911
\(452\) 7.17459e6i 0.0776930i
\(453\) −5.22647e7 + 9.05251e7i −0.562230 + 0.973810i
\(454\) −1.94114e7 + 3.36215e7i −0.207438 + 0.359293i
\(455\) −4.93352e7 8.54511e7i −0.523749 0.907159i
\(456\) 1.87710e8 1.08374e8i 1.97967 1.14296i
\(457\) 4.05831e7i 0.425203i 0.977139 + 0.212601i \(0.0681936\pi\)
−0.977139 + 0.212601i \(0.931806\pi\)
\(458\) 2.58141e8 1.49038e8i 2.68695 1.55131i
\(459\) 7.82159e7 4.51580e7i 0.808829 0.466978i
\(460\) 3.53927e8 2.04340e8i 3.63613 2.09932i
\(461\) 4.76026e6 8.24501e6i 0.0485879 0.0841567i −0.840709 0.541488i \(-0.817861\pi\)
0.889296 + 0.457331i \(0.151195\pi\)
\(462\) 1.20092e8i 1.21784i
\(463\) −6.62323e7 3.82392e7i −0.667309 0.385271i 0.127747 0.991807i \(-0.459225\pi\)
−0.795056 + 0.606536i \(0.792559\pi\)
\(464\) 1.06423e8 6.14432e7i 1.06532 0.615063i
\(465\) 2.69201e8 2.67743
\(466\) 4.08212e7 + 7.07044e7i 0.403393 + 0.698696i
\(467\) 5.72154e7 + 3.30333e7i 0.561774 + 0.324341i 0.753857 0.657038i \(-0.228191\pi\)
−0.192083 + 0.981379i \(0.561524\pi\)
\(468\) 5.09880e7 8.83138e7i 0.497428 0.861571i
\(469\) 4.66891e7i 0.452582i
\(470\) −1.75914e8 + 3.04691e8i −1.69436 + 2.93472i
\(471\) 6.51633e7 0.623649
\(472\) 9.29383e7i 0.883830i
\(473\) 2.19969e7 + 6.87586e7i 0.207863 + 0.649746i
\(474\) −1.87800e8 −1.76344
\(475\) 8.82917e7i 0.823833i
\(476\) −2.50591e8 1.44679e8i −2.32351 1.34148i
\(477\) 4.24385e7 0.391025
\(478\) −1.72798e8 9.97652e7i −1.58218 0.913473i
\(479\) 2.63590e7 4.56552e7i 0.239841 0.415417i −0.720828 0.693114i \(-0.756238\pi\)
0.960668 + 0.277698i \(0.0895714\pi\)
\(480\) −5.85819e7 + 3.38223e7i −0.529712 + 0.305829i
\(481\) 1.05025e8i 0.943750i
\(482\) 1.19792e8 + 2.07486e8i 1.06976 + 1.85288i
\(483\) −8.38825e7 + 1.45289e8i −0.744441 + 1.28941i
\(484\) 1.27226e8 1.12212
\(485\) −2.59435e8 1.49785e8i −2.27407 1.31293i
\(486\) 9.41895e7 + 1.63141e8i 0.820529 + 1.42120i
\(487\) 8.56781e7 + 1.48399e8i 0.741794 + 1.28482i 0.951678 + 0.307098i \(0.0993579\pi\)
−0.209884 + 0.977726i \(0.567309\pi\)
\(488\) −9.82651e7 1.70200e8i −0.845551 1.46454i
\(489\) −1.22461e8 −1.04730
\(490\) 4.49337e7 + 7.78274e7i 0.381930 + 0.661522i
\(491\) −6.18762e7 + 3.57242e7i −0.522732 + 0.301799i −0.738052 0.674744i \(-0.764254\pi\)
0.215320 + 0.976544i \(0.430921\pi\)
\(492\) −2.20600e8 1.27363e8i −1.85229 1.06942i
\(493\) −1.51282e8 8.73427e7i −1.26254 0.728930i
\(494\) 1.90114e8 1.57701
\(495\) 5.73784e7i 0.473078i
\(496\) −1.27517e8 + 2.20866e8i −1.04501 + 1.81002i
\(497\) 9.70621e7 1.68116e8i 0.790643 1.36943i
\(498\) 6.28200e7 + 1.08808e8i 0.508640 + 0.880990i
\(499\) 2.56246e7 1.47944e7i 0.206232 0.119068i −0.393327 0.919399i \(-0.628676\pi\)
0.599559 + 0.800331i \(0.295343\pi\)
\(500\) 5.13280e7i 0.410624i
\(501\) −1.94151e8 + 1.12093e8i −1.54392 + 0.891384i
\(502\) 1.62160e8 9.36229e7i 1.28183 0.740067i
\(503\) −1.64720e8 + 9.51011e7i −1.29432 + 0.747277i −0.979417 0.201847i \(-0.935306\pi\)
−0.314904 + 0.949123i \(0.601972\pi\)
\(504\) 5.20310e7 9.01203e7i 0.406416 0.703933i
\(505\) 5.90470e7i 0.458484i
\(506\) −1.97819e8 1.14211e8i −1.52692 0.881567i
\(507\) −1.84038e7 + 1.06254e7i −0.141216 + 0.0815309i
\(508\) −4.74771e8 −3.62153
\(509\) −2.87007e7 4.97111e7i −0.217640 0.376964i 0.736446 0.676497i \(-0.236503\pi\)
−0.954086 + 0.299532i \(0.903169\pi\)
\(510\) 5.24085e8 + 3.02581e8i 3.95086 + 2.28103i
\(511\) 1.53713e6 2.66239e6i 0.0115199 0.0199530i
\(512\) 2.75140e8i 2.04996i
\(513\) −3.91675e7 + 6.78400e7i −0.290117 + 0.502498i
\(514\) 4.05503e8 2.98610
\(515\) 1.83385e8i 1.34259i
\(516\) 7.52183e7 3.46150e8i 0.547488 2.51950i
\(517\) 1.33189e8 0.963822
\(518\) 2.04700e8i 1.47275i
\(519\) −2.08126e8 1.20162e8i −1.48876 0.859536i
\(520\) −3.45134e8 −2.45458
\(521\) 7.88970e6 + 4.55512e6i 0.0557889 + 0.0322097i 0.527635 0.849471i \(-0.323079\pi\)
−0.471846 + 0.881681i \(0.656412\pi\)
\(522\) 5.99952e7 1.03915e8i 0.421798 0.730576i
\(523\) −5.64368e7 + 3.25838e7i −0.394509 + 0.227770i −0.684112 0.729377i \(-0.739810\pi\)
0.289603 + 0.957147i \(0.406477\pi\)
\(524\) 4.64404e7i 0.322777i
\(525\) 6.28367e7 + 1.08836e8i 0.434246 + 0.752136i
\(526\) 3.08132e7 5.33700e7i 0.211729 0.366725i
\(527\) 3.62536e8 2.47696
\(528\) 1.39569e8 + 8.05800e7i 0.948169 + 0.547426i
\(529\) −8.55308e7 1.48144e8i −0.577770 1.00073i
\(530\) −1.37168e8 2.37581e8i −0.921348 1.59582i
\(531\) −1.74080e7 3.01516e7i −0.116270 0.201385i
\(532\) 2.50972e8 1.66683
\(533\) −5.84886e7 1.01305e8i −0.386268 0.669037i
\(534\) −1.59457e8 + 9.20627e7i −1.04718 + 0.604589i
\(535\) −8.06747e6 4.65775e6i −0.0526837 0.0304169i
\(536\) 1.41432e8 + 8.16555e7i 0.918442 + 0.530263i
\(537\) −3.13510e7 −0.202455
\(538\) 1.92205e8i 1.23429i
\(539\) 1.70103e7 2.94627e7i 0.108629 0.188151i
\(540\) 1.35809e8 2.35229e8i 0.862479 1.49386i
\(541\) −7.35142e7 1.27330e8i −0.464279 0.804155i 0.534889 0.844922i \(-0.320353\pi\)
−0.999169 + 0.0407668i \(0.987020\pi\)
\(542\) 8.24660e7 4.76118e7i 0.517937 0.299031i
\(543\) 1.22176e8i 0.763108i
\(544\) −7.88927e7 + 4.55487e7i −0.490050 + 0.282930i
\(545\) −2.98232e8 + 1.72185e8i −1.84232 + 1.06366i
\(546\) 2.34352e8 1.35303e8i 1.43976 0.831247i
\(547\) 1.20188e8 2.08172e8i 0.734345 1.27192i −0.220665 0.975350i \(-0.570823\pi\)
0.955010 0.296573i \(-0.0958439\pi\)
\(548\) 1.63540e8i 0.993763i
\(549\) −6.37595e7 3.68115e7i −0.385325 0.222468i
\(550\) −1.48187e8 + 8.55556e7i −0.890679 + 0.514234i
\(551\) 1.51512e8 0.905718
\(552\) 2.93408e8 + 5.08197e8i 1.74443 + 3.02145i
\(553\) −9.85968e7 5.69249e7i −0.583025 0.336610i
\(554\) 5.55259e7 9.61737e7i 0.326563 0.565623i
\(555\) 2.89961e8i 1.69614i
\(556\) 8.99682e7 1.55830e8i 0.523437 0.906620i
\(557\) −3.05594e8 −1.76839 −0.884196 0.467116i \(-0.845293\pi\)
−0.884196 + 0.467116i \(0.845293\pi\)
\(558\) 2.49023e8i 1.43330i
\(559\) 1.09395e8 1.20393e8i 0.626270 0.689233i
\(560\) −2.58080e8 −1.46957
\(561\) 2.29092e8i 1.29754i
\(562\) −1.00184e8 5.78415e7i −0.564405 0.325859i
\(563\) 3.11950e8 1.74808 0.874038 0.485857i \(-0.161492\pi\)
0.874038 + 0.485857i \(0.161492\pi\)
\(564\) −5.65973e8 3.26765e8i −3.15470 1.82137i
\(565\) 4.54822e6 7.87774e6i 0.0252171 0.0436774i
\(566\) −2.68524e8 + 1.55033e8i −1.48093 + 0.855015i
\(567\) 1.88093e8i 1.03187i
\(568\) −3.39508e8 5.88044e8i −1.85270 3.20897i
\(569\) −8.88647e7 + 1.53918e8i −0.482384 + 0.835513i −0.999795 0.0202235i \(-0.993562\pi\)
0.517412 + 0.855737i \(0.326896\pi\)
\(570\) −5.24883e8 −2.83425
\(571\) 3.89256e7 + 2.24737e7i 0.209087 + 0.120716i 0.600887 0.799334i \(-0.294814\pi\)
−0.391800 + 0.920050i \(0.628147\pi\)
\(572\) 1.24775e8 + 2.16117e8i 0.666715 + 1.15478i
\(573\) 3.37944e7 + 5.85336e7i 0.179631 + 0.311130i
\(574\) −1.13998e8 1.97450e8i −0.602783 1.04405i
\(575\) −2.39037e8 −1.25737
\(576\) 3.22522e7 + 5.58624e7i 0.168769 + 0.292316i
\(577\) 2.29657e8 1.32592e8i 1.19551 0.690226i 0.235956 0.971764i \(-0.424178\pi\)
0.959550 + 0.281538i \(0.0908444\pi\)
\(578\) 4.11403e8 + 2.37524e8i 2.13051 + 1.23005i
\(579\) 1.66325e8 + 9.60276e7i 0.856882 + 0.494721i
\(580\) −5.25354e8 −2.69258
\(581\) 7.61668e7i 0.388362i
\(582\) 4.10790e8 7.11509e8i 2.08377 3.60920i
\(583\) −5.19267e7 + 8.99396e7i −0.262050 + 0.453884i
\(584\) −5.37664e6 9.31261e6i −0.0269943 0.0467555i
\(585\) −1.11970e8 + 6.46460e7i −0.559287 + 0.322905i
\(586\) 1.27243e8i 0.632325i
\(587\) 2.23222e8 1.28877e8i 1.10363 0.637179i 0.166455 0.986049i \(-0.446768\pi\)
0.937171 + 0.348870i \(0.113435\pi\)
\(588\) −1.44567e8 + 8.34657e7i −0.711110 + 0.410559i
\(589\) −2.72316e8 + 1.57222e8i −1.33268 + 0.769425i
\(590\) −1.12531e8 + 1.94909e8i −0.547917 + 0.949020i
\(591\) 4.45385e7i 0.215761i
\(592\) 2.37898e8 + 1.37351e8i 1.14664 + 0.662011i
\(593\) 2.75721e8 1.59188e8i 1.32223 0.763387i 0.338142 0.941095i \(-0.390201\pi\)
0.984083 + 0.177708i \(0.0568681\pi\)
\(594\) −1.51815e8 −0.724361
\(595\) 1.83433e8 + 3.17716e8i 0.870818 + 1.50830i
\(596\) 2.07204e8 + 1.19629e8i 0.978720 + 0.565064i
\(597\) −1.40813e8 + 2.43894e8i −0.661787 + 1.14625i
\(598\) 5.14707e8i 2.40689i
\(599\) 2.24525e7 3.88889e7i 0.104468 0.180944i −0.809053 0.587736i \(-0.800019\pi\)
0.913521 + 0.406792i \(0.133353\pi\)
\(600\) 4.39586e8 2.03512
\(601\) 2.34530e8i 1.08038i 0.841545 + 0.540188i \(0.181647\pi\)
−0.841545 + 0.540188i \(0.818353\pi\)
\(602\) 2.13218e8 2.34654e8i 0.977313 1.07557i
\(603\) 6.11787e7 0.279028
\(604\) 4.23358e8i 1.92131i
\(605\) −1.39695e8 8.06530e7i −0.630834 0.364212i
\(606\) −1.61938e8 −0.727665
\(607\) 1.29928e8 + 7.50138e7i 0.580946 + 0.335409i 0.761509 0.648154i \(-0.224459\pi\)
−0.180563 + 0.983563i \(0.557792\pi\)
\(608\) 3.95064e7 6.84271e7i 0.175775 0.304451i
\(609\) 1.86768e8 1.07830e8i 0.826895 0.477408i
\(610\) 4.75922e8i 2.09675i
\(611\) −1.50059e8 2.59910e8i −0.657867 1.13946i
\(612\) −1.89579e8 + 3.28360e8i −0.827056 + 1.43250i
\(613\) −1.88110e8 −0.816640 −0.408320 0.912839i \(-0.633885\pi\)
−0.408320 + 0.912839i \(0.633885\pi\)
\(614\) 1.29067e8 + 7.45170e7i 0.557584 + 0.321922i
\(615\) 1.61480e8 + 2.79691e8i 0.694214 + 1.20241i
\(616\) 1.27328e8 + 2.20538e8i 0.544729 + 0.943498i
\(617\) −2.51365e7 4.35376e7i −0.107016 0.185357i 0.807544 0.589807i \(-0.200796\pi\)
−0.914560 + 0.404450i \(0.867463\pi\)
\(618\) 5.02939e8 2.13083
\(619\) −1.20001e8 2.07847e8i −0.505955 0.876340i −0.999976 0.00688978i \(-0.997807\pi\)
0.494021 0.869450i \(-0.335526\pi\)
\(620\) 9.44228e8 5.45150e8i 3.96188 2.28740i
\(621\) −1.83667e8 1.06040e8i −0.766931 0.442788i
\(622\) −3.07782e8 1.77698e8i −1.27900 0.738433i
\(623\) −1.11622e8 −0.461622
\(624\) 3.63145e8i 1.49460i
\(625\) 1.37081e8 2.37432e8i 0.561485 0.972520i
\(626\) −1.38297e8 + 2.39537e8i −0.563753 + 0.976449i
\(627\) 9.93508e7 + 1.72081e8i 0.403059 + 0.698119i
\(628\) 2.28562e8 1.31960e8i 0.922835 0.532799i
\(629\) 3.90493e8i 1.56914i
\(630\) −2.18237e8 + 1.25999e8i −0.872784 + 0.503902i
\(631\) 1.32376e8 7.64276e7i 0.526893 0.304202i −0.212857 0.977083i \(-0.568277\pi\)
0.739750 + 0.672881i \(0.234944\pi\)
\(632\) −3.44876e8 + 1.99114e8i −1.36619 + 0.788771i
\(633\) 5.99325e7 1.03806e8i 0.236293 0.409272i
\(634\) 4.64610e8i 1.82314i
\(635\) 5.21301e8 + 3.00973e8i 2.03595 + 1.17546i
\(636\) 4.41314e8 2.54793e8i 1.71544 0.990412i
\(637\) −7.66592e7 −0.296583
\(638\) 1.46817e8 + 2.54295e8i 0.565346 + 0.979209i
\(639\) −2.20290e8 1.27184e8i −0.844291 0.487452i
\(640\) 2.73752e8 4.74153e8i 1.04428 1.80875i
\(641\) 4.14525e8i 1.57390i 0.617017 + 0.786950i \(0.288341\pi\)
−0.617017 + 0.786950i \(0.711659\pi\)
\(642\) 1.27740e7 2.21253e7i 0.0482750 0.0836148i
\(643\) −2.08554e8 −0.784487 −0.392244 0.919861i \(-0.628301\pi\)
−0.392244 + 0.919861i \(0.628301\pi\)
\(644\) 6.79471e8i 2.54398i
\(645\) −3.02026e8 + 3.32391e8i −1.12555 + 1.23871i
\(646\) −7.06864e8 −2.62204
\(647\) 2.12551e8i 0.784783i −0.919798 0.392391i \(-0.871648\pi\)
0.919798 0.392391i \(-0.128352\pi\)
\(648\) 5.69775e8 + 3.28960e8i 2.09401 + 1.20898i
\(649\) 8.52001e7 0.311678
\(650\) 3.33912e8 + 1.92784e8i 1.21588 + 0.701991i
\(651\) −2.23787e8 + 3.87611e8i −0.811134 + 1.40492i
\(652\) −4.29534e8 + 2.47992e8i −1.54973 + 0.894735i
\(653\) 3.38070e8i 1.21413i −0.794651 0.607067i \(-0.792346\pi\)
0.794651 0.607067i \(-0.207654\pi\)
\(654\) −4.72221e8 8.17911e8i −1.68815 2.92397i
\(655\) 2.94401e7 5.09918e7i 0.104765 0.181458i
\(656\) −3.05963e8 −1.08382
\(657\) −3.48864e6 2.01417e6i −0.0123016 0.00710231i
\(658\) −2.92474e8 5.06580e8i −1.02662 1.77816i
\(659\) −7.95195e6 1.37732e7i −0.0277854 0.0481258i 0.851798 0.523870i \(-0.175512\pi\)
−0.879584 + 0.475744i \(0.842179\pi\)
\(660\) −3.44489e8 5.96673e8i −1.19824 2.07541i
\(661\) 5.53539e8 1.91665 0.958327 0.285674i \(-0.0922174\pi\)
0.958327 + 0.285674i \(0.0922174\pi\)
\(662\) 2.58459e8 + 4.47665e8i 0.890879 + 1.54305i
\(663\) −4.47058e8 + 2.58109e8i −1.53399 + 0.885651i
\(664\) 2.30726e8 + 1.33210e8i 0.788119 + 0.455021i
\(665\) −2.75569e8 1.59100e8i −0.937056 0.541009i
\(666\) 2.68227e8 0.907989
\(667\) 4.10198e8i 1.38234i
\(668\) −4.53991e8 + 7.86335e8i −1.52306 + 2.63802i
\(669\) 1.10062e8 1.90633e8i 0.367587 0.636679i
\(670\) −1.97739e8 3.42493e8i −0.657457 1.13875i
\(671\) 1.56029e8 9.00833e7i 0.516461 0.298179i
\(672\) 1.12466e8i 0.370607i
\(673\) −2.32916e8 + 1.34474e8i −0.764107 + 0.441157i −0.830768 0.556618i \(-0.812099\pi\)
0.0666616 + 0.997776i \(0.478765\pi\)
\(674\) 4.71683e8 2.72326e8i 1.54053 0.889426i
\(675\) −1.37586e8 + 7.94351e7i −0.447365 + 0.258286i
\(676\) −4.30344e7 + 7.45377e7i −0.139308 + 0.241288i
\(677\) 2.76854e8i 0.892247i −0.894971 0.446123i \(-0.852804\pi\)
0.894971 0.446123i \(-0.147196\pi\)
\(678\) 2.16049e7 + 1.24736e7i 0.0693208 + 0.0400224i
\(679\) 4.31338e8 2.49033e8i 1.37787 0.795513i
\(680\) 1.28324e9 4.08114
\(681\) 4.57158e7 + 7.91820e7i 0.144752 + 0.250718i
\(682\) −5.27754e8 3.04699e8i −1.66371 0.960544i
\(683\) −1.99451e8 + 3.45459e8i −0.625999 + 1.08426i 0.362347 + 0.932043i \(0.381975\pi\)
−0.988347 + 0.152219i \(0.951358\pi\)
\(684\) 3.28860e8i 1.02764i
\(685\) 1.03674e8 1.79568e8i 0.322550 0.558673i
\(686\) −6.18571e8 −1.91610
\(687\) 7.01998e8i 2.16504i
\(688\) −1.29644e8 4.05246e8i −0.398096 1.24438i
\(689\) 2.34015e8 0.715461
\(690\) 1.42104e9i 4.32574i
\(691\) 2.64597e8 + 1.52765e8i 0.801956 + 0.463009i 0.844155 0.536100i \(-0.180103\pi\)
−0.0421988 + 0.999109i \(0.513436\pi\)
\(692\) −9.73342e8 −2.93729
\(693\) 8.26167e7 + 4.76987e7i 0.248238 + 0.143320i
\(694\) −3.93678e8 + 6.81870e8i −1.17778 + 2.03997i
\(695\) −1.97571e8 + 1.14068e8i −0.588531 + 0.339788i
\(696\) 7.54348e8i 2.23740i
\(697\) 2.17466e8 + 3.76663e8i 0.642235 + 1.11238i
\(698\) 3.19726e8 5.53781e8i 0.940181 1.62844i
\(699\) 1.92276e8 0.562981
\(700\) 4.40802e8 + 2.54497e8i 1.28514 + 0.741974i
\(701\) 1.14283e8 + 1.97943e8i 0.331762 + 0.574628i 0.982857 0.184367i \(-0.0590236\pi\)
−0.651096 + 0.758996i \(0.725690\pi\)
\(702\) 1.71044e8 + 2.96257e8i 0.494420 + 0.856360i
\(703\) 1.69346e8 + 2.93316e8i 0.487426 + 0.844247i
\(704\) −1.57852e8 −0.452409
\(705\) 4.14295e8 + 7.17579e8i 1.18234 + 2.04787i
\(706\) −2.69662e8 + 1.55689e8i −0.766311 + 0.442430i
\(707\) −8.50192e7 4.90859e7i −0.240580 0.138899i
\(708\) −3.62049e8 2.09029e8i −1.02016 0.588989i
\(709\) 1.02910e8 0.288747 0.144373 0.989523i \(-0.453883\pi\)
0.144373 + 0.989523i \(0.453883\pi\)
\(710\) 1.64432e9i 4.59421i
\(711\) −7.45911e7 + 1.29196e8i −0.207529 + 0.359450i
\(712\) −1.95219e8 + 3.38129e8i −0.540855 + 0.936789i
\(713\) −4.25654e8 7.37255e8i −1.17433 2.03399i
\(714\) −8.71345e8 + 5.03071e8i −2.39384 + 1.38209i
\(715\) 3.16397e8i 0.865594i
\(716\) −1.09964e8 + 6.34879e7i −0.299580 + 0.172963i
\(717\) −4.06958e8 + 2.34957e8i −1.10406 + 0.637429i
\(718\) 7.39011e8 4.26668e8i 1.99654 1.15270i
\(719\) −3.51601e8 + 6.08992e8i −0.945941 + 1.63842i −0.192085 + 0.981378i \(0.561525\pi\)
−0.753856 + 0.657040i \(0.771808\pi\)
\(720\) 3.38174e8i 0.906030i
\(721\) 2.64048e8 + 1.52448e8i 0.704494 + 0.406740i
\(722\) −4.28262e7 + 2.47257e7i −0.113788 + 0.0656958i
\(723\) 5.64246e8 1.49298
\(724\) −2.47414e8 4.28534e8i −0.651942 1.12920i
\(725\) 2.66113e8 + 1.53640e8i 0.698315 + 0.403173i
\(726\) 2.21193e8 3.83118e8i 0.578045 1.00120i
\(727\) 1.72729e8i 0.449534i −0.974413 0.224767i \(-0.927838\pi\)
0.974413 0.224767i \(-0.0721621\pi\)
\(728\) 2.86910e8 4.96943e8i 0.743621 1.28799i
\(729\) −4.05924e7 −0.104776
\(730\) 2.60404e7i 0.0669388i
\(731\) −4.06741e8 + 4.47634e8i −1.04128 + 1.14596i
\(732\) −8.84039e8 −2.25392
\(733\) 4.34687e8i 1.10374i 0.833932 + 0.551868i \(0.186085\pi\)
−0.833932 + 0.551868i \(0.813915\pi\)
\(734\) 8.73734e8 + 5.04450e8i 2.20948 + 1.27565i
\(735\) 2.11647e8 0.533028
\(736\) 1.85256e8 + 1.06958e8i 0.464665 + 0.268274i
\(737\) −7.48567e7 + 1.29656e8i −0.186994 + 0.323883i
\(738\) −2.58727e8 + 1.49376e8i −0.643685 + 0.371632i
\(739\) 3.36824e8i 0.834585i 0.908772 + 0.417292i \(0.137021\pi\)
−0.908772 + 0.417292i \(0.862979\pi\)
\(740\) −5.87191e8 1.01704e9i −1.44905 2.50983i
\(741\) 2.23869e8 3.87753e8i 0.550225 0.953017i
\(742\) 4.56110e8 1.11650
\(743\) −6.13956e8 3.54467e8i −1.49682 0.864191i −0.496830 0.867848i \(-0.665503\pi\)
−0.999993 + 0.00365652i \(0.998836\pi\)
\(744\) 7.82772e8 + 1.35580e9i 1.90071 + 3.29213i
\(745\) −1.51674e8 2.62707e8i −0.366811 0.635334i
\(746\) −6.36320e8 1.10214e9i −1.53271 2.65473i
\(747\) 9.98045e7 0.239435
\(748\) −4.63927e8 8.03545e8i −1.10852 1.92002i
\(749\) 1.34130e7 7.74399e6i 0.0319213 0.0184298i
\(750\) 1.54565e8 + 8.92379e7i 0.366375 + 0.211527i
\(751\) 2.54164e8 + 1.46742e8i 0.600060 + 0.346445i 0.769065 0.639170i \(-0.220722\pi\)
−0.169005 + 0.985615i \(0.554055\pi\)
\(752\) −7.84982e8 −1.84589
\(753\) 4.40983e8i 1.03285i
\(754\) 3.30826e8 5.73008e8i 0.771766 1.33674i
\(755\) 2.68381e8 4.64849e8i 0.623607 1.08012i
\(756\) 2.25797e8 + 3.91092e8i 0.522580 + 0.905135i
\(757\) −2.56382e8 + 1.48022e8i −0.591017 + 0.341224i −0.765499 0.643437i \(-0.777508\pi\)
0.174483 + 0.984660i \(0.444175\pi\)
\(758\) 1.21835e9i 2.79746i
\(759\) −4.65883e8 + 2.68978e8i −1.06550 + 0.615165i
\(760\) −9.63896e8 + 5.56506e8i −2.19578 + 1.26774i
\(761\) 9.29462e7 5.36625e7i 0.210901 0.121764i −0.390829 0.920463i \(-0.627812\pi\)
0.601730 + 0.798700i \(0.294478\pi\)
\(762\) −8.25427e8 + 1.42968e9i −1.86558 + 3.23128i
\(763\) 5.72549e8i 1.28896i
\(764\) 2.37069e8 + 1.36872e8i 0.531612 + 0.306926i
\(765\) 4.16317e8 2.40360e8i 0.929907 0.536882i
\(766\) −3.94281e8 −0.877242