Properties

Label 43.7.d.a.7.5
Level 43
Weight 7
Character 43.7
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 7.5
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.17

$q$-expansion

\(f(q)\) \(=\) \(q-10.1559i q^{2} +(30.5813 - 17.6561i) q^{3} -39.1423 q^{4} +(101.658 - 58.6923i) q^{5} +(-179.314 - 310.581i) q^{6} +(191.878 + 110.781i) q^{7} -252.452i q^{8} +(258.977 - 448.562i) q^{9} +O(q^{10})\) \(q-10.1559i q^{2} +(30.5813 - 17.6561i) q^{3} -39.1423 q^{4} +(101.658 - 58.6923i) q^{5} +(-179.314 - 310.581i) q^{6} +(191.878 + 110.781i) q^{7} -252.452i q^{8} +(258.977 - 448.562i) q^{9} +(-596.073 - 1032.43i) q^{10} +1438.34 q^{11} +(-1197.02 + 691.102i) q^{12} +(-661.952 + 1146.53i) q^{13} +(1125.08 - 1948.69i) q^{14} +(2072.56 - 3589.77i) q^{15} -5068.99 q^{16} +(-3957.19 + 6854.06i) q^{17} +(-4555.55 - 2630.15i) q^{18} +(-5836.08 + 3369.46i) q^{19} +(-3979.13 + 2297.35i) q^{20} +7823.84 q^{21} -14607.6i q^{22} +(-7712.75 - 13358.9i) q^{23} +(-4457.32 - 7720.31i) q^{24} +(-922.926 + 1598.55i) q^{25} +(11644.1 + 6722.72i) q^{26} +7452.48i q^{27} +(-7510.55 - 4336.22i) q^{28} +(11123.1 + 6421.92i) q^{29} +(-36457.4 - 21048.7i) q^{30} +(3864.08 + 6692.78i) q^{31} +35323.2i q^{32} +(43986.3 - 25395.5i) q^{33} +(69609.2 + 40188.9i) q^{34} +26007.9 q^{35} +(-10137.0 + 17557.8i) q^{36} +(12422.5 - 7172.14i) q^{37} +(34219.9 + 59270.6i) q^{38} +46750.0i q^{39} +(-14817.0 - 25663.8i) q^{40} +78223.5 q^{41} -79458.1i q^{42} +(-53717.2 - 58615.9i) q^{43} -56300.0 q^{44} -60799.9i q^{45} +(-135671. + 78329.9i) q^{46} +104457. q^{47} +(-155016. + 89498.7i) q^{48} +(-34279.7 - 59374.2i) q^{49} +(16234.8 + 9373.15i) q^{50} +279475. i q^{51} +(25910.3 - 44878.0i) q^{52} +(-28184.6 - 48817.1i) q^{53} +75686.6 q^{54} +(146219. - 84419.5i) q^{55} +(27966.8 - 48440.0i) q^{56} +(-118983. + 206085. i) q^{57} +(65220.4 - 112965. i) q^{58} -82703.5 q^{59} +(-81124.7 + 140512. i) q^{60} +(133854. + 77280.6i) q^{61} +(67971.2 - 39243.2i) q^{62} +(99384.2 - 57379.5i) q^{63} +34323.8 q^{64} +155406. i q^{65} +(-257914. - 446721. i) q^{66} +(-136307. - 236090. i) q^{67} +(154894. - 268284. i) q^{68} +(-471732. - 272354. i) q^{69} -264134. i q^{70} +(-353197. - 203918. i) q^{71} +(-113240. - 65379.4i) q^{72} +(240411. + 138801. i) q^{73} +(-72839.6 - 126162. i) q^{74} +65181.2i q^{75} +(228438. - 131889. i) q^{76} +(275986. + 159341. i) q^{77} +474789. q^{78} +(280774. - 486314. i) q^{79} +(-515303. + 297511. i) q^{80} +(320376. + 554908. i) q^{81} -794430. i q^{82} +(383829. + 664812. i) q^{83} -306243. q^{84} +929027. i q^{85} +(-595297. + 545547. i) q^{86} +453545. q^{87} -363112. i q^{88} +(-1.17014e6 + 675581. i) q^{89} -617478. q^{90} +(-254028. + 146663. i) q^{91} +(301895. + 522897. i) q^{92} +(236337. + 136449. i) q^{93} -1.06086e6i q^{94} +(-395523. + 685065. i) q^{95} +(623671. + 1.08023e6i) q^{96} +696731. q^{97} +(-602999. + 348141. i) q^{98} +(372498. - 645185. 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 10.1559i 1.26949i −0.772723 0.634744i \(-0.781106\pi\)
0.772723 0.634744i \(-0.218894\pi\)
\(3\) 30.5813 17.6561i 1.13264 0.653931i 0.188043 0.982161i \(-0.439786\pi\)
0.944598 + 0.328230i \(0.106452\pi\)
\(4\) −39.1423 −0.611599
\(5\) 101.658 58.6923i 0.813264 0.469538i −0.0348238 0.999393i \(-0.511087\pi\)
0.848088 + 0.529855i \(0.177754\pi\)
\(6\) −179.314 310.581i −0.830157 1.43787i
\(7\) 191.878 + 110.781i 0.559411 + 0.322976i 0.752909 0.658125i \(-0.228650\pi\)
−0.193498 + 0.981101i \(0.561983\pi\)
\(8\) 252.452i 0.493070i
\(9\) 258.977 448.562i 0.355250 0.615312i
\(10\) −596.073 1032.43i −0.596073 1.03243i
\(11\) 1438.34 1.08065 0.540323 0.841457i \(-0.318302\pi\)
0.540323 + 0.841457i \(0.318302\pi\)
\(12\) −1197.02 + 691.102i −0.692722 + 0.399943i
\(13\) −661.952 + 1146.53i −0.301298 + 0.521864i −0.976430 0.215833i \(-0.930753\pi\)
0.675132 + 0.737697i \(0.264087\pi\)
\(14\) 1125.08 1948.69i 0.410014 0.710165i
\(15\) 2072.56 3589.77i 0.614091 1.06364i
\(16\) −5068.99 −1.23755
\(17\) −3957.19 + 6854.06i −0.805454 + 1.39509i 0.110531 + 0.993873i \(0.464745\pi\)
−0.915984 + 0.401214i \(0.868588\pi\)
\(18\) −4555.55 2630.15i −0.781130 0.450986i
\(19\) −5836.08 + 3369.46i −0.850864 + 0.491247i −0.860942 0.508703i \(-0.830125\pi\)
0.0100783 + 0.999949i \(0.496792\pi\)
\(20\) −3979.13 + 2297.35i −0.497392 + 0.287169i
\(21\) 7823.84 0.844816
\(22\) 14607.6i 1.37187i
\(23\) −7712.75 13358.9i −0.633907 1.09796i −0.986746 0.162275i \(-0.948117\pi\)
0.352839 0.935684i \(-0.385216\pi\)
\(24\) −4457.32 7720.31i −0.322434 0.558472i
\(25\) −922.926 + 1598.55i −0.0590673 + 0.102308i
\(26\) 11644.1 + 6722.72i 0.662499 + 0.382494i
\(27\) 7452.48i 0.378625i
\(28\) −7510.55 4336.22i −0.342135 0.197532i
\(29\) 11123.1 + 6421.92i 0.456070 + 0.263312i 0.710390 0.703808i \(-0.248518\pi\)
−0.254320 + 0.967120i \(0.581852\pi\)
\(30\) −36457.4 21048.7i −1.35027 0.779581i
\(31\) 3864.08 + 6692.78i 0.129706 + 0.224658i 0.923563 0.383447i \(-0.125263\pi\)
−0.793857 + 0.608105i \(0.791930\pi\)
\(32\) 35323.2i 1.07798i
\(33\) 43986.3 25395.5i 1.22398 0.706668i
\(34\) 69609.2 + 40188.9i 1.77105 + 1.02251i
\(35\) 26007.9 0.606599
\(36\) −10137.0 + 17557.8i −0.217271 + 0.376324i
\(37\) 12422.5 7172.14i 0.245247 0.141594i −0.372339 0.928097i \(-0.621444\pi\)
0.617586 + 0.786503i \(0.288111\pi\)
\(38\) 34219.9 + 59270.6i 0.623631 + 1.08016i
\(39\) 46750.0i 0.788112i
\(40\) −14817.0 25663.8i −0.231515 0.400997i
\(41\) 78223.5 1.13497 0.567487 0.823383i \(-0.307916\pi\)
0.567487 + 0.823383i \(0.307916\pi\)
\(42\) 79458.1i 1.07248i
\(43\) −53717.2 58615.9i −0.675629 0.737242i
\(44\) −56300.0 −0.660922
\(45\) 60799.9i 0.667215i
\(46\) −135671. + 78329.9i −1.39385 + 0.804737i
\(47\) 104457. 1.00611 0.503055 0.864254i \(-0.332209\pi\)
0.503055 + 0.864254i \(0.332209\pi\)
\(48\) −155016. + 89498.7i −1.40169 + 0.809269i
\(49\) −34279.7 59374.2i −0.291373 0.504673i
\(50\) 16234.8 + 9373.15i 0.129878 + 0.0749852i
\(51\) 279475.i 2.10684i
\(52\) 25910.3 44878.0i 0.184274 0.319171i
\(53\) −28184.6 48817.1i −0.189315 0.327902i 0.755707 0.654909i \(-0.227293\pi\)
−0.945022 + 0.327007i \(0.893960\pi\)
\(54\) 75686.6 0.480660
\(55\) 146219. 84419.5i 0.878852 0.507405i
\(56\) 27966.8 48440.0i 0.159250 0.275829i
\(57\) −118983. + 206085.i −0.642482 + 1.11281i
\(58\) 65220.4 112965.i 0.334271 0.578975i
\(59\) −82703.5 −0.402687 −0.201344 0.979521i \(-0.564531\pi\)
−0.201344 + 0.979521i \(0.564531\pi\)
\(60\) −81124.7 + 140512.i −0.375577 + 0.650519i
\(61\) 133854. + 77280.6i 0.589714 + 0.340472i 0.764985 0.644049i \(-0.222747\pi\)
−0.175270 + 0.984520i \(0.556080\pi\)
\(62\) 67971.2 39243.2i 0.285200 0.164660i
\(63\) 99384.2 57379.5i 0.397462 0.229475i
\(64\) 34323.8 0.130935
\(65\) 155406.i 0.565884i
\(66\) −257914. 446721.i −0.897106 1.55383i
\(67\) −136307. 236090.i −0.453203 0.784971i 0.545380 0.838189i \(-0.316385\pi\)
−0.998583 + 0.0532182i \(0.983052\pi\)
\(68\) 154894. 268284.i 0.492615 0.853234i
\(69\) −471732. 272354.i −1.43598 0.829062i
\(70\) 264134.i 0.770070i
\(71\) −353197. 203918.i −0.986829 0.569746i −0.0825040 0.996591i \(-0.526292\pi\)
−0.904325 + 0.426845i \(0.859625\pi\)
\(72\) −113240. 65379.4i −0.303392 0.175163i
\(73\) 240411. + 138801.i 0.617996 + 0.356800i 0.776089 0.630624i \(-0.217201\pi\)
−0.158092 + 0.987424i \(0.550534\pi\)
\(74\) −72839.6 126162.i −0.179751 0.311339i
\(75\) 65181.2i 0.154504i
\(76\) 228438. 131889.i 0.520387 0.300446i
\(77\) 275986. + 159341.i 0.604526 + 0.349023i
\(78\) 474789. 1.00050
\(79\) 280774. 486314.i 0.569476 0.986361i −0.427142 0.904185i \(-0.640480\pi\)
0.996618 0.0821764i \(-0.0261871\pi\)
\(80\) −515303. + 297511.i −1.00645 + 0.581075i
\(81\) 320376. + 554908.i 0.602845 + 1.04416i
\(82\) 794430.i 1.44083i
\(83\) 383829. + 664812.i 0.671281 + 1.16269i 0.977541 + 0.210744i \(0.0675887\pi\)
−0.306261 + 0.951948i \(0.599078\pi\)
\(84\) −306243. −0.516689
\(85\) 929027.i 1.51277i
\(86\) −595297. + 545547.i −0.935920 + 0.857702i
\(87\) 453545. 0.688751
\(88\) 363112.i 0.532835i
\(89\) −1.17014e6 + 675581.i −1.65985 + 0.958314i −0.687065 + 0.726596i \(0.741101\pi\)
−0.972783 + 0.231718i \(0.925565\pi\)
\(90\) −617478. −0.847021
\(91\) −254028. + 146663.i −0.337099 + 0.194624i
\(92\) 301895. + 522897.i 0.387697 + 0.671511i
\(93\) 236337. + 136449.i 0.293821 + 0.169638i
\(94\) 1.06086e6i 1.27724i
\(95\) −395523. + 685065.i −0.461318 + 0.799027i
\(96\) 623671. + 1.08023e6i 0.704923 + 1.22096i
\(97\) 696731. 0.763396 0.381698 0.924287i \(-0.375339\pi\)
0.381698 + 0.924287i \(0.375339\pi\)
\(98\) −602999. + 348141.i −0.640676 + 0.369894i
\(99\) 372498. 645185.i 0.383900 0.664935i
\(100\) 36125.5 62571.2i 0.0361255 0.0625712i
\(101\) −33336.9 + 57741.3i −0.0323565 + 0.0560431i −0.881750 0.471717i \(-0.843635\pi\)
0.849394 + 0.527760i \(0.176968\pi\)
\(102\) 2.83832e6 2.67461
\(103\) −346313. + 599831.i −0.316925 + 0.548931i −0.979845 0.199760i \(-0.935984\pi\)
0.662920 + 0.748691i \(0.269317\pi\)
\(104\) 289445. + 167111.i 0.257315 + 0.148561i
\(105\) 795356. 459199.i 0.687059 0.396674i
\(106\) −495782. + 286240.i −0.416268 + 0.240332i
\(107\) 574154. 0.468681 0.234340 0.972155i \(-0.424707\pi\)
0.234340 + 0.972155i \(0.424707\pi\)
\(108\) 291707.i 0.231567i
\(109\) 125263. + 216963.i 0.0967263 + 0.167535i 0.910328 0.413888i \(-0.135830\pi\)
−0.813601 + 0.581423i \(0.802496\pi\)
\(110\) −857357. 1.48499e6i −0.644145 1.11569i
\(111\) 253265. 438667.i 0.185185 0.320750i
\(112\) −972627. 561547.i −0.692297 0.399698i
\(113\) 1.86641e6i 1.29351i −0.762696 0.646757i \(-0.776125\pi\)
0.762696 0.646757i \(-0.223875\pi\)
\(114\) 2.09298e6 + 1.20838e6i 1.41270 + 0.815623i
\(115\) −1.56813e6 905358.i −1.03107 0.595287i
\(116\) −435384. 251369.i −0.278932 0.161041i
\(117\) 342861. + 593853.i 0.214072 + 0.370784i
\(118\) 839929.i 0.511207i
\(119\) −1.51860e6 + 876762.i −0.901159 + 0.520285i
\(120\) −906246. 523221.i −0.524448 0.302790i
\(121\) 297264. 0.167798
\(122\) 784854. 1.35941e6i 0.432225 0.748635i
\(123\) 2.39218e6 1.38112e6i 1.28552 0.742194i
\(124\) −151249. 261971.i −0.0793282 0.137400i
\(125\) 2.05081e6i 1.05001i
\(126\) −582740. 1.00934e6i −0.291315 0.504573i
\(127\) 950924. 0.464231 0.232116 0.972688i \(-0.425435\pi\)
0.232116 + 0.972688i \(0.425435\pi\)
\(128\) 1.91210e6i 0.911758i
\(129\) −2.67767e6 844113.i −1.24735 0.393216i
\(130\) 1.57829e6 0.718383
\(131\) 3.90803e6i 1.73838i −0.494482 0.869188i \(-0.664642\pi\)
0.494482 0.869188i \(-0.335358\pi\)
\(132\) −1.72173e6 + 994040.i −0.748588 + 0.432197i
\(133\) −1.49309e6 −0.634644
\(134\) −2.39771e6 + 1.38432e6i −0.996511 + 0.575336i
\(135\) 437403. + 757604.i 0.177779 + 0.307922i
\(136\) 1.73032e6 + 999002.i 0.687876 + 0.397145i
\(137\) 2.71035e6i 1.05405i −0.849848 0.527027i \(-0.823307\pi\)
0.849848 0.527027i \(-0.176693\pi\)
\(138\) −2.76600e6 + 4.79086e6i −1.05248 + 1.82296i
\(139\) −1.35135e6 2.34060e6i −0.503179 0.871531i −0.999993 0.00367447i \(-0.998830\pi\)
0.496814 0.867857i \(-0.334503\pi\)
\(140\) −1.01801e6 −0.370995
\(141\) 3.19444e6 1.84431e6i 1.13956 0.657926i
\(142\) −2.07097e6 + 3.58703e6i −0.723285 + 1.25277i
\(143\) −952113. + 1.64911e6i −0.325597 + 0.563950i
\(144\) −1.31275e6 + 2.27376e6i −0.439638 + 0.761476i
\(145\) 1.50767e6 0.494540
\(146\) 1.40965e6 2.44159e6i 0.452954 0.784539i
\(147\) −2.09664e6 1.21049e6i −0.660042 0.381075i
\(148\) −486246. + 280734.i −0.149993 + 0.0865985i
\(149\) −3.73726e6 + 2.15771e6i −1.12978 + 0.652280i −0.943880 0.330288i \(-0.892854\pi\)
−0.185902 + 0.982568i \(0.559521\pi\)
\(150\) 661974. 0.196140
\(151\) 6.00486e6i 1.74410i −0.489415 0.872051i \(-0.662789\pi\)
0.489415 0.872051i \(-0.337211\pi\)
\(152\) 850627. + 1.47333e6i 0.242219 + 0.419536i
\(153\) 2.04965e6 + 3.55009e6i 0.572275 + 0.991210i
\(154\) 1.61825e6 2.80289e6i 0.443081 0.767438i
\(155\) 785629. + 453583.i 0.210971 + 0.121804i
\(156\) 1.82991e6i 0.482009i
\(157\) −4.27325e6 2.46716e6i −1.10423 0.637527i −0.166900 0.985974i \(-0.553376\pi\)
−0.937328 + 0.348447i \(0.886709\pi\)
\(158\) −4.93896e6 2.85151e6i −1.25217 0.722942i
\(159\) −1.72384e6 995261.i −0.428851 0.247597i
\(160\) 2.07320e6 + 3.59089e6i 0.506152 + 0.876682i
\(161\) 3.41770e6i 0.818947i
\(162\) 5.63559e6 3.25371e6i 1.32555 0.765304i
\(163\) 5.44538e6 + 3.14389e6i 1.25738 + 0.725947i 0.972564 0.232636i \(-0.0747350\pi\)
0.284814 + 0.958583i \(0.408068\pi\)
\(164\) −3.06185e6 −0.694148
\(165\) 2.98104e6 5.16332e6i 0.663616 1.14942i
\(166\) 6.75177e6 3.89813e6i 1.47602 0.852182i
\(167\) 4.53376e6 + 7.85271e6i 0.973440 + 1.68605i 0.684989 + 0.728554i \(0.259807\pi\)
0.288452 + 0.957494i \(0.406859\pi\)
\(168\) 1.97514e6i 0.416554i
\(169\) 1.53704e6 + 2.66224e6i 0.318439 + 0.551552i
\(170\) 9.43511e6 1.92044
\(171\) 3.49046e6i 0.698062i
\(172\) 2.10262e6 + 2.29436e6i 0.413214 + 0.450896i
\(173\) −9.00093e6 −1.73840 −0.869199 0.494463i \(-0.835365\pi\)
−0.869199 + 0.494463i \(0.835365\pi\)
\(174\) 4.60615e6i 0.874361i
\(175\) −354178. + 204485.i −0.0660858 + 0.0381546i
\(176\) −7.29093e6 −1.33735
\(177\) −2.52918e6 + 1.46022e6i −0.456100 + 0.263330i
\(178\) 6.86114e6 + 1.18838e7i 1.21657 + 2.10716i
\(179\) −2.38423e6 1.37654e6i −0.415709 0.240010i 0.277531 0.960717i \(-0.410484\pi\)
−0.693240 + 0.720707i \(0.743817\pi\)
\(180\) 2.37985e6i 0.408068i
\(181\) 1.71977e6 2.97873e6i 0.290025 0.502337i −0.683791 0.729678i \(-0.739670\pi\)
0.973815 + 0.227341i \(0.0730031\pi\)
\(182\) 1.48950e6 + 2.57988e6i 0.247073 + 0.427943i
\(183\) 5.45790e6 0.890579
\(184\) −3.37247e6 + 1.94710e6i −0.541371 + 0.312561i
\(185\) 841899. 1.45821e6i 0.132967 0.230306i
\(186\) 1.38576e6 2.40022e6i 0.215353 0.373002i
\(187\) −5.69179e6 + 9.85848e6i −0.870411 + 1.50760i
\(188\) −4.08871e6 −0.615336
\(189\) −825591. + 1.42997e6i −0.122287 + 0.211807i
\(190\) 6.95746e6 + 4.01689e6i 1.01435 + 0.585638i
\(191\) −3.28426e6 + 1.89617e6i −0.471343 + 0.272130i −0.716802 0.697277i \(-0.754395\pi\)
0.245458 + 0.969407i \(0.421062\pi\)
\(192\) 1.04967e6 606025.i 0.148302 0.0856223i
\(193\) 205647. 0.0286055 0.0143028 0.999898i \(-0.495447\pi\)
0.0143028 + 0.999898i \(0.495447\pi\)
\(194\) 7.07593e6i 0.969121i
\(195\) 2.74387e6 + 4.75252e6i 0.370049 + 0.640944i
\(196\) 1.34179e6 + 2.32405e6i 0.178203 + 0.308657i
\(197\) 3.52501e6 6.10549e6i 0.461064 0.798586i −0.537950 0.842977i \(-0.680801\pi\)
0.999014 + 0.0443902i \(0.0141345\pi\)
\(198\) −6.55244e6 3.78305e6i −0.844126 0.487356i
\(199\) 1.46553e7i 1.85967i 0.367982 + 0.929833i \(0.380049\pi\)
−0.367982 + 0.929833i \(0.619951\pi\)
\(200\) 403558. + 232995.i 0.0504448 + 0.0291243i
\(201\) −8.33688e6 4.81330e6i −1.02663 0.592727i
\(202\) 586415. + 338567.i 0.0711460 + 0.0410762i
\(203\) 1.42285e6 + 2.46445e6i 0.170087 + 0.294599i
\(204\) 1.09393e7i 1.28854i
\(205\) 7.95205e6 4.59112e6i 0.923033 0.532914i
\(206\) 6.09183e6 + 3.51712e6i 0.696861 + 0.402333i
\(207\) −7.98971e6 −0.900783
\(208\) 3.35543e6 5.81177e6i 0.372870 0.645830i
\(209\) −8.39427e6 + 4.84643e6i −0.919483 + 0.530864i
\(210\) −4.66358e6 8.07756e6i −0.503572 0.872213i
\(211\) 5.64350e6i 0.600761i −0.953820 0.300380i \(-0.902886\pi\)
0.953820 0.300380i \(-0.0971136\pi\)
\(212\) 1.10321e6 + 1.91082e6i 0.115785 + 0.200545i
\(213\) −1.44016e7 −1.49030
\(214\) 5.83105e6i 0.594985i
\(215\) −8.90109e6 2.80599e6i −0.895628 0.282339i
\(216\) 1.88139e6 0.186689
\(217\) 1.71226e6i 0.167568i
\(218\) 2.20345e6 1.27216e6i 0.212683 0.122793i
\(219\) 9.80278e6 0.933291
\(220\) −5.72335e6 + 3.30438e6i −0.537505 + 0.310329i
\(221\) −5.23894e6 9.07412e6i −0.485363 0.840674i
\(222\) −4.45506e6 2.57213e6i −0.407188 0.235090i
\(223\) 1.16340e7i 1.04909i 0.851382 + 0.524546i \(0.175765\pi\)
−0.851382 + 0.524546i \(0.824235\pi\)
\(224\) −3.91313e6 + 6.77775e6i −0.348161 + 0.603033i
\(225\) 478034. + 827979.i 0.0419673 + 0.0726896i
\(226\) −1.89551e7 −1.64210
\(227\) 1.38180e7 7.97783e6i 1.18132 0.682036i 0.225001 0.974358i \(-0.427761\pi\)
0.956320 + 0.292322i \(0.0944280\pi\)
\(228\) 4.65728e6 8.06665e6i 0.392941 0.680595i
\(229\) 8.79463e6 1.52328e7i 0.732338 1.26845i −0.223544 0.974694i \(-0.571763\pi\)
0.955882 0.293752i \(-0.0949040\pi\)
\(230\) −9.19472e6 + 1.59257e7i −0.755710 + 1.30893i
\(231\) 1.12533e7 0.912948
\(232\) 1.62123e6 2.80805e6i 0.129831 0.224874i
\(233\) 275483. + 159050.i 0.0217785 + 0.0125738i 0.510850 0.859670i \(-0.329331\pi\)
−0.489071 + 0.872244i \(0.662664\pi\)
\(234\) 6.03111e6 3.48207e6i 0.470706 0.271762i
\(235\) 1.06189e7 6.13084e6i 0.818234 0.472407i
\(236\) 3.23721e6 0.246283
\(237\) 1.98295e7i 1.48959i
\(238\) 8.90431e6 + 1.54227e7i 0.660495 + 1.14401i
\(239\) 3.34835e6 + 5.79951e6i 0.245266 + 0.424813i 0.962206 0.272321i \(-0.0877914\pi\)
−0.716940 + 0.697134i \(0.754458\pi\)
\(240\) −1.05058e7 + 1.81965e7i −0.759966 + 1.31630i
\(241\) −2.09680e7 1.21059e7i −1.49798 0.864857i −0.497979 0.867189i \(-0.665924\pi\)
−0.999997 + 0.00233228i \(0.999258\pi\)
\(242\) 3.01898e6i 0.213017i
\(243\) 1.48901e7 + 8.59678e6i 1.03771 + 0.599125i
\(244\) −5.23936e6 3.02494e6i −0.360669 0.208232i
\(245\) −6.96962e6 4.02391e6i −0.473926 0.273621i
\(246\) −1.40266e7 2.42947e7i −0.942206 1.63195i
\(247\) 8.92168e6i 0.592047i
\(248\) 1.68961e6 975494.i 0.110772 0.0639543i
\(249\) 2.34760e7 + 1.35539e7i 1.52064 + 0.877942i
\(250\) 2.08278e7 1.33298
\(251\) −7.86861e6 + 1.36288e7i −0.497596 + 0.861862i −0.999996 0.00277362i \(-0.999117\pi\)
0.502400 + 0.864635i \(0.332450\pi\)
\(252\) −3.89013e6 + 2.24597e6i −0.243087 + 0.140347i
\(253\) −1.10936e7 1.92146e7i −0.685030 1.18651i
\(254\) 9.65749e6i 0.589336i
\(255\) 1.64030e7 + 2.84109e7i 0.989244 + 1.71342i
\(256\) 2.16158e7 1.28840
\(257\) 7.42651e6i 0.437507i −0.975780 0.218754i \(-0.929801\pi\)
0.975780 0.218754i \(-0.0701991\pi\)
\(258\) −8.57273e6 + 2.71942e7i −0.499183 + 1.58350i
\(259\) 3.17814e6 0.182926
\(260\) 6.08295e6i 0.346094i
\(261\) 5.76126e6 3.32626e6i 0.324038 0.187083i
\(262\) −3.96895e7 −2.20685
\(263\) 5.28004e6 3.04843e6i 0.290248 0.167575i −0.347805 0.937567i \(-0.613073\pi\)
0.638054 + 0.769992i \(0.279740\pi\)
\(264\) −6.41115e6 1.11044e7i −0.348437 0.603511i
\(265\) −5.73038e6 3.30844e6i −0.307926 0.177781i
\(266\) 1.51636e7i 0.805672i
\(267\) −2.38563e7 + 4.13203e7i −1.25334 + 2.17085i
\(268\) 5.33536e6 + 9.24112e6i 0.277179 + 0.480087i
\(269\) −2.75605e6 −0.141589 −0.0707945 0.997491i \(-0.522553\pi\)
−0.0707945 + 0.997491i \(0.522553\pi\)
\(270\) 7.69415e6 4.44222e6i 0.390903 0.225688i
\(271\) 5.23944e6 9.07498e6i 0.263255 0.455972i −0.703850 0.710349i \(-0.748537\pi\)
0.967105 + 0.254377i \(0.0818705\pi\)
\(272\) 2.00590e7 3.47431e7i 0.996786 1.72648i
\(273\) −5.17901e6 + 8.97030e6i −0.254541 + 0.440879i
\(274\) −2.75260e7 −1.33811
\(275\) −1.32748e6 + 2.29927e6i −0.0638309 + 0.110558i
\(276\) 1.84647e7 + 1.06606e7i 0.878243 + 0.507054i
\(277\) −4.80218e6 + 2.77254e6i −0.225943 + 0.130448i −0.608699 0.793401i \(-0.708308\pi\)
0.382756 + 0.923849i \(0.374975\pi\)
\(278\) −2.37709e7 + 1.37241e7i −1.10640 + 0.638779i
\(279\) 4.00284e6 0.184313
\(280\) 6.56575e6i 0.299096i
\(281\) 1.83973e7 + 3.18651e7i 0.829155 + 1.43614i 0.898702 + 0.438560i \(0.144511\pi\)
−0.0695472 + 0.997579i \(0.522155\pi\)
\(282\) −1.87307e7 3.24424e7i −0.835229 1.44666i
\(283\) −2.59431e6 + 4.49347e6i −0.114462 + 0.198254i −0.917565 0.397587i \(-0.869848\pi\)
0.803102 + 0.595841i \(0.203181\pi\)
\(284\) 1.38250e7 + 7.98184e6i 0.603543 + 0.348456i
\(285\) 2.79336e7i 1.20668i
\(286\) 1.67482e7 + 9.66956e6i 0.715928 + 0.413341i
\(287\) 1.50094e7 + 8.66566e6i 0.634917 + 0.366569i
\(288\) 1.58447e7 + 9.14791e6i 0.663293 + 0.382952i
\(289\) −1.92500e7 3.33419e7i −0.797511 1.38133i
\(290\) 1.53117e7i 0.627813i
\(291\) 2.13069e7 1.23016e7i 0.864653 0.499208i
\(292\) −9.41025e6 5.43301e6i −0.377966 0.218219i
\(293\) 4.46231e7 1.77401 0.887007 0.461757i \(-0.152781\pi\)
0.887007 + 0.461757i \(0.152781\pi\)
\(294\) −1.22937e7 + 2.12932e7i −0.483770 + 0.837915i
\(295\) −8.40748e6 + 4.85406e6i −0.327491 + 0.189077i
\(296\) −1.81062e6 3.13609e6i −0.0698156 0.120924i
\(297\) 1.07192e7i 0.409160i
\(298\) 2.19135e7 + 3.79553e7i 0.828061 + 1.43424i
\(299\) 2.04219e7 0.763980
\(300\) 2.55134e6i 0.0944942i
\(301\) −3.81363e6 1.71979e7i −0.139843 0.630633i
\(302\) −6.09848e7 −2.21412
\(303\) 2.35440e6i 0.0846356i
\(304\) 2.95830e7 1.70797e7i 1.05298 0.607940i
\(305\) 1.81431e7 0.639458
\(306\) 3.60544e7 2.08160e7i 1.25833 0.726496i
\(307\) −2.38539e7 4.13162e7i −0.824412 1.42792i −0.902368 0.430967i \(-0.858173\pi\)
0.0779555 0.996957i \(-0.475161\pi\)
\(308\) −1.08027e7 6.23696e6i −0.369727 0.213462i
\(309\) 2.44582e7i 0.828988i
\(310\) 4.60655e6 7.97877e6i 0.154629 0.267825i
\(311\) 1.73824e7 + 3.01072e7i 0.577867 + 1.00090i 0.995724 + 0.0923826i \(0.0294483\pi\)
−0.417856 + 0.908513i \(0.637218\pi\)
\(312\) 1.18021e7 0.388595
\(313\) −2.95387e7 + 1.70542e7i −0.963294 + 0.556158i −0.897185 0.441655i \(-0.854392\pi\)
−0.0661085 + 0.997812i \(0.521058\pi\)
\(314\) −2.50562e7 + 4.33987e7i −0.809332 + 1.40180i
\(315\) 6.73547e6 1.16662e7i 0.215494 0.373247i
\(316\) −1.09901e7 + 1.90355e7i −0.348291 + 0.603257i
\(317\) −6.96957e6 −0.218790 −0.109395 0.993998i \(-0.534891\pi\)
−0.109395 + 0.993998i \(0.534891\pi\)
\(318\) −1.01078e7 + 1.75072e7i −0.314321 + 0.544421i
\(319\) 1.59988e7 + 9.23691e6i 0.492850 + 0.284547i
\(320\) 3.48929e6 2.01454e6i 0.106485 0.0614790i
\(321\) 1.75584e7 1.01373e7i 0.530847 0.306485i
\(322\) −3.47098e7 −1.03964
\(323\) 5.33344e7i 1.58271i
\(324\) −1.25403e7 2.17204e7i −0.368699 0.638606i
\(325\) −1.22187e6 2.11633e6i −0.0355937 0.0616501i
\(326\) 3.19291e7 5.53028e7i 0.921581 1.59623i
\(327\) 7.66143e6 + 4.42333e6i 0.219112 + 0.126505i
\(328\) 1.97477e7i 0.559622i
\(329\) 2.00431e7 + 1.15719e7i 0.562829 + 0.324950i
\(330\) −5.24382e7 3.02752e7i −1.45917 0.842452i
\(331\) −2.88699e6 1.66680e6i −0.0796088 0.0459622i 0.459667 0.888091i \(-0.347969\pi\)
−0.539276 + 0.842129i \(0.681302\pi\)
\(332\) −1.50240e7 2.60223e7i −0.410554 0.711101i
\(333\) 7.42970e6i 0.201205i
\(334\) 7.97513e7 4.60444e7i 2.14042 1.23577i
\(335\) −2.77134e7 1.60003e7i −0.737148 0.425593i
\(336\) −3.96589e7 −1.04550
\(337\) −2.99147e6 + 5.18137e6i −0.0781618 + 0.135380i −0.902457 0.430780i \(-0.858238\pi\)
0.824295 + 0.566160i \(0.191572\pi\)
\(338\) 2.70374e7 1.56101e7i 0.700189 0.404254i
\(339\) −3.29535e7 5.70772e7i −0.845868 1.46509i
\(340\) 3.63643e7i 0.925206i
\(341\) 5.55786e6 + 9.62650e6i 0.140167 + 0.242776i
\(342\) 3.54487e7 0.886181
\(343\) 4.12566e7i 1.02238i
\(344\) −1.47977e7 + 1.35610e7i −0.363512 + 0.333132i
\(345\) −6.39404e7 −1.55711
\(346\) 9.14126e7i 2.20687i
\(347\) 388377. 224230.i 0.00929535 0.00536667i −0.495345 0.868696i \(-0.664958\pi\)
0.504640 + 0.863330i \(0.331625\pi\)
\(348\) −1.77528e7 −0.421239
\(349\) −5.71824e7 + 3.30143e7i −1.34520 + 0.776650i −0.987565 0.157213i \(-0.949749\pi\)
−0.357632 + 0.933863i \(0.616416\pi\)
\(350\) 2.07673e6 + 3.59700e6i 0.0484368 + 0.0838951i
\(351\) −8.54452e6 4.93318e6i −0.197591 0.114079i
\(352\) 5.08068e7i 1.16491i
\(353\) −1.18380e7 + 2.05041e7i −0.269126 + 0.466139i −0.968636 0.248483i \(-0.920068\pi\)
0.699511 + 0.714622i \(0.253401\pi\)
\(354\) 1.48299e7 + 2.56861e7i 0.334294 + 0.579014i
\(355\) −4.78737e7 −1.07007
\(356\) 4.58021e7 2.64438e7i 1.01516 0.586104i
\(357\) −3.09605e7 + 5.36251e7i −0.680460 + 1.17859i
\(358\) −1.39800e7 + 2.42140e7i −0.304690 + 0.527738i
\(359\) −2.71043e7 + 4.69461e7i −0.585808 + 1.01465i 0.408966 + 0.912550i \(0.365890\pi\)
−0.994774 + 0.102100i \(0.967444\pi\)
\(360\) −1.53491e7 −0.328984
\(361\) −816421. + 1.41408e6i −0.0173537 + 0.0300575i
\(362\) −3.02517e7 1.74658e7i −0.637711 0.368183i
\(363\) 9.09071e6 5.24852e6i 0.190054 0.109728i
\(364\) 9.94325e6 5.74074e6i 0.206169 0.119032i
\(365\) 3.25863e7 0.670126
\(366\) 5.54299e7i 1.13058i
\(367\) 1.21462e7 + 2.10378e7i 0.245721 + 0.425601i 0.962334 0.271870i \(-0.0876419\pi\)
−0.716613 + 0.697471i \(0.754309\pi\)
\(368\) 3.90958e7 + 6.77159e7i 0.784489 + 1.35877i
\(369\) 2.02581e7 3.50881e7i 0.403200 0.698362i
\(370\) −1.48095e7 8.55025e6i −0.292371 0.168800i
\(371\) 1.24892e7i 0.244576i
\(372\) −9.25078e6 5.34094e6i −0.179701 0.103750i
\(373\) −5.54830e7 3.20331e7i −1.06914 0.617267i −0.141191 0.989982i \(-0.545093\pi\)
−0.927946 + 0.372716i \(0.878427\pi\)
\(374\) 1.00122e8 + 5.78053e7i 1.91387 + 1.10498i
\(375\) 3.62093e7 + 6.27164e7i 0.686636 + 1.18929i
\(376\) 2.63705e7i 0.496083i
\(377\) −1.47259e7 + 8.50200e6i −0.274826 + 0.158671i
\(378\) 1.45226e7 + 8.38462e6i 0.268886 + 0.155242i
\(379\) −2.15364e7 −0.395599 −0.197800 0.980242i \(-0.563380\pi\)
−0.197800 + 0.980242i \(0.563380\pi\)
\(380\) 1.54817e7 2.68151e7i 0.282142 0.488684i
\(381\) 2.90805e7 1.67896e7i 0.525808 0.303575i
\(382\) 1.92573e7 + 3.33546e7i 0.345466 + 0.598365i
\(383\) 9.47348e7i 1.68622i 0.537744 + 0.843108i \(0.319277\pi\)
−0.537744 + 0.843108i \(0.680723\pi\)
\(384\) 3.37602e7 + 5.84744e7i 0.596227 + 1.03269i
\(385\) 3.74083e7 0.655519
\(386\) 2.08853e6i 0.0363144i
\(387\) −4.02044e7 + 8.91531e6i −0.693651 + 0.153817i
\(388\) −2.72717e7 −0.466892
\(389\) 1.08224e7i 0.183854i −0.995766 0.0919272i \(-0.970697\pi\)
0.995766 0.0919272i \(-0.0293027\pi\)
\(390\) 4.82661e7 2.78664e7i 0.813670 0.469773i
\(391\) 1.22083e8 2.04233
\(392\) −1.49891e7 + 8.65398e6i −0.248839 + 0.143667i
\(393\) −6.90006e7 1.19513e8i −1.13678 1.96896i
\(394\) −6.20068e7 3.57996e7i −1.01380 0.585315i
\(395\) 6.59170e7i 1.06956i
\(396\) −1.45804e7 + 2.52541e7i −0.234793 + 0.406673i
\(397\) −3.97294e7 6.88134e7i −0.634952 1.09977i −0.986525 0.163608i \(-0.947687\pi\)
0.351574 0.936160i \(-0.385647\pi\)
\(398\) 1.48838e8 2.36082
\(399\) −4.56605e7 + 2.63621e7i −0.718823 + 0.415013i
\(400\) 4.67830e6 8.10305e6i 0.0730984 0.126610i
\(401\) 5.82616e7 1.00912e8i 0.903544 1.56498i 0.0806833 0.996740i \(-0.474290\pi\)
0.822860 0.568244i \(-0.192377\pi\)
\(402\) −4.88834e7 + 8.46685e7i −0.752459 + 1.30330i
\(403\) −1.02313e7 −0.156321
\(404\) 1.30489e6 2.26013e6i 0.0197892 0.0342759i
\(405\) 6.51377e7 + 3.76073e7i 0.980544 + 0.566118i
\(406\) 2.50287e7 1.44503e7i 0.373990 0.215923i
\(407\) 1.78678e7 1.03160e7i 0.265026 0.153013i
\(408\) 7.05540e7 1.03882
\(409\) 6.68971e7i 0.977771i 0.872348 + 0.488886i \(0.162596\pi\)
−0.872348 + 0.488886i \(0.837404\pi\)
\(410\) −4.66269e7 8.07602e7i −0.676527 1.17178i
\(411\) −4.78542e7 8.28859e7i −0.689278 1.19387i
\(412\) 1.35555e7 2.34788e7i 0.193831 0.335725i
\(413\) −1.58690e7 9.16197e6i −0.225268 0.130058i
\(414\) 8.11427e7i 1.14353i
\(415\) 7.80387e7 + 4.50557e7i 1.09186 + 0.630384i
\(416\) −4.04993e7 2.33823e7i −0.562558 0.324793i
\(417\) −8.26519e7 4.77191e7i −1.13984 0.658088i
\(418\) 4.92199e7 + 8.52513e7i 0.673925 + 1.16727i
\(419\) 7.35158e7i 0.999398i −0.866199 0.499699i \(-0.833444\pi\)
0.866199 0.499699i \(-0.166556\pi\)
\(420\) −3.11321e7 + 1.79741e7i −0.420204 + 0.242605i
\(421\) 1.31461e7 + 7.58992e6i 0.176178 + 0.101716i 0.585496 0.810676i \(-0.300900\pi\)
−0.409318 + 0.912392i \(0.634233\pi\)
\(422\) −5.73149e7 −0.762658
\(423\) 2.70521e7 4.68556e7i 0.357421 0.619071i
\(424\) −1.23240e7 + 7.11525e6i −0.161679 + 0.0933454i
\(425\) −7.30440e6 1.26516e7i −0.0951519 0.164808i
\(426\) 1.46262e8i 1.89191i
\(427\) 1.71224e7 + 2.96569e7i 0.219928 + 0.380927i
\(428\) −2.24737e7 −0.286645
\(429\) 6.72425e7i 0.851671i
\(430\) −2.84974e7 + 9.03986e7i −0.358426 + 1.13699i
\(431\) 8.12140e7 1.01438 0.507188 0.861835i \(-0.330685\pi\)
0.507188 + 0.861835i \(0.330685\pi\)
\(432\) 3.77765e7i 0.468566i
\(433\) 6.19999e7 3.57956e7i 0.763708 0.440927i −0.0669177 0.997758i \(-0.521316\pi\)
0.830625 + 0.556832i \(0.187983\pi\)
\(434\) 1.73896e7 0.212726
\(435\) 4.61065e7 2.66196e7i 0.560137 0.323395i
\(436\) −4.90310e6 8.49242e6i −0.0591577 0.102464i
\(437\) 9.00243e7 + 5.19756e7i 1.07874 + 0.622809i
\(438\) 9.95561e7i 1.18480i
\(439\) −1.44401e7 + 2.50110e7i −0.170678 + 0.295623i −0.938657 0.344852i \(-0.887929\pi\)
0.767979 + 0.640475i \(0.221262\pi\)
\(440\) −2.13119e7 3.69133e7i −0.250186 0.433336i
\(441\) −3.55107e7 −0.414041
\(442\) −9.21558e7 + 5.32062e7i −1.06723 + 0.616163i
\(443\) −6.86888e7 + 1.18972e8i −0.790086 + 1.36847i 0.135827 + 0.990733i \(0.456631\pi\)
−0.925913 + 0.377737i \(0.876702\pi\)
\(444\) −9.91337e6 + 1.71705e7i −0.113259 + 0.196170i
\(445\) −7.93029e7 + 1.37357e8i −0.899930 + 1.55873i
\(446\) 1.18154e8 1.33181
\(447\) −7.61936e7 + 1.31971e8i −0.853092 + 1.47760i
\(448\) 6.58598e6 + 3.80242e6i 0.0732465 + 0.0422889i
\(449\) −3.36568e7 + 1.94317e7i −0.371821 + 0.214671i −0.674254 0.738500i \(-0.735534\pi\)
0.302433 + 0.953171i \(0.402201\pi\)
\(450\) 8.40888e6 4.85487e6i 0.0922785 0.0532770i
\(451\) 1.12512e8 1.22651
\(452\) 7.30555e7i 0.791112i
\(453\) −1.06023e8 1.83636e8i −1.14052 1.97544i
\(454\) −8.10221e7 1.40334e8i −0.865837 1.49967i
\(455\) −1.72160e7 + 2.98190e7i −0.182767 + 0.316562i
\(456\) 5.20266e7 + 3.00376e7i 0.548695 + 0.316789i
\(457\) 1.18565e7i 0.124224i 0.998069 + 0.0621122i \(0.0197837\pi\)
−0.998069 + 0.0621122i \(0.980216\pi\)
\(458\) −1.54702e8 8.93174e7i −1.61028 0.929693i
\(459\) −5.10797e7 2.94909e7i −0.528215 0.304965i
\(460\) 6.13801e7 + 3.54378e7i 0.630600 + 0.364077i
\(461\) 3.36146e7 + 5.82222e7i 0.343104 + 0.594273i 0.985007 0.172512i \(-0.0551885\pi\)
−0.641904 + 0.766785i \(0.721855\pi\)
\(462\) 1.14288e8i 1.15898i
\(463\) 3.09741e7 1.78829e7i 0.312073 0.180175i −0.335781 0.941940i \(-0.609000\pi\)
0.647854 + 0.761765i \(0.275667\pi\)
\(464\) −5.63828e7 3.25526e7i −0.564407 0.325861i
\(465\) 3.20341e7 0.318606
\(466\) 1.61530e6 2.79778e6i 0.0159623 0.0276475i
\(467\) 6.76027e7 3.90304e7i 0.663764 0.383224i −0.129946 0.991521i \(-0.541480\pi\)
0.793710 + 0.608297i \(0.208147\pi\)
\(468\) −1.34204e7 2.32448e7i −0.130927 0.226771i
\(469\) 6.04007e7i 0.585495i
\(470\) −6.22643e7 1.07845e8i −0.599715 1.03874i
\(471\) −1.74242e8 −1.66759
\(472\) 2.08787e7i 0.198553i
\(473\) −7.72637e7 8.43097e7i −0.730116 0.796698i
\(474\) −2.01387e8 −1.89102
\(475\) 1.24391e7i 0.116066i
\(476\) 5.94414e7 3.43185e7i 0.551148 0.318206i
\(477\) −2.91967e7 −0.269016
\(478\) 5.88993e7 3.40055e7i 0.539295 0.311362i
\(479\) −5.69000e7 9.85538e7i −0.517733 0.896740i −0.999788 0.0205991i \(-0.993443\pi\)
0.482055 0.876141i \(-0.339891\pi\)
\(480\) 1.26802e8 + 7.32094e7i 1.14658 + 0.661977i
\(481\) 1.89905e7i 0.170648i
\(482\) −1.22946e8 + 2.12948e8i −1.09793 + 1.90166i
\(483\) −6.03433e7 1.04518e8i −0.535535 0.927573i
\(484\) −1.16356e7 −0.102625
\(485\) 7.08283e7 4.08927e7i 0.620843 0.358444i
\(486\) 8.73081e7 1.51222e8i 0.760581 1.31737i
\(487\) 4.84868e6 8.39816e6i 0.0419794 0.0727105i −0.844272 0.535914i \(-0.819967\pi\)
0.886252 + 0.463204i \(0.153300\pi\)
\(488\) 1.95096e7 3.37917e7i 0.167877 0.290771i
\(489\) 2.22036e8 1.89888
\(490\) −4.08665e7 + 7.07828e7i −0.347359 + 0.601644i
\(491\) 1.70411e8 + 9.83867e7i 1.43964 + 0.831174i 0.997824 0.0659341i \(-0.0210027\pi\)
0.441811 + 0.897108i \(0.354336\pi\)
\(492\) −9.36354e7 + 5.40604e7i −0.786221 + 0.453925i
\(493\) −8.80324e7 + 5.08255e7i −0.734686 + 0.424171i
\(494\) −9.06077e7 −0.751596
\(495\) 8.74510e7i 0.721023i
\(496\) −1.95870e7 3.39256e7i −0.160517 0.278024i
\(497\) −4.51805e7 7.82549e7i −0.368029 0.637444i
\(498\) 1.37652e8 2.38420e8i 1.11454 1.93043i
\(499\) −1.05673e8 6.10104e7i −0.850477 0.491023i 0.0103347 0.999947i \(-0.496710\pi\)
−0.860812 + 0.508923i \(0.830044\pi\)
\(500\) 8.02735e7i 0.642188i
\(501\) 2.77297e8 + 1.60097e8i 2.20512 + 1.27312i
\(502\) 1.38413e8 + 7.99128e7i 1.09412 + 0.631692i
\(503\) 1.22440e8 + 7.06910e7i 0.962102 + 0.555470i 0.896819 0.442397i \(-0.145872\pi\)
0.0652826 + 0.997867i \(0.479205\pi\)
\(504\) −1.44856e7 2.50897e7i −0.113147 0.195977i
\(505\) 7.82649e6i 0.0607705i
\(506\) −1.95142e8 + 1.12665e8i −1.50625 + 0.869637i
\(507\) 9.40096e7 + 5.42765e7i 0.721354 + 0.416474i
\(508\) −3.72214e7 −0.283923
\(509\) 6.96792e7 1.20688e8i 0.528384 0.915188i −0.471068 0.882097i \(-0.656131\pi\)
0.999452 0.0330916i \(-0.0105353\pi\)
\(510\) 2.88538e8 1.66587e8i 2.17517 1.25583i
\(511\) 3.07531e7 + 5.32659e7i 0.230476 + 0.399196i
\(512\) 9.71536e7i 0.723851i
\(513\) −2.51108e7 4.34932e7i −0.185998 0.322158i
\(514\) −7.54229e7 −0.555410
\(515\) 8.13036e7i 0.595234i
\(516\) 1.04810e8 + 3.30405e7i 0.762878 + 0.240491i
\(517\) 1.50245e8 1.08725
\(518\) 3.22769e7i 0.232222i
\(519\) −2.75260e8 + 1.58922e8i −1.96898 + 1.13679i
\(520\) 3.92325e7 0.279021
\(521\) −5.74601e7 + 3.31746e7i −0.406306 + 0.234581i −0.689201 0.724570i \(-0.742038\pi\)
0.282895 + 0.959151i \(0.408705\pi\)
\(522\) −3.37812e7 5.85108e7i −0.237500 0.411362i
\(523\) −3.91943e7 2.26288e7i −0.273979 0.158182i 0.356715 0.934213i \(-0.383897\pi\)
−0.630695 + 0.776031i \(0.717230\pi\)
\(524\) 1.52969e8i 1.06319i
\(525\) −7.22083e6 + 1.25068e7i −0.0499010 + 0.0864310i
\(526\) −3.09596e7 5.36236e7i −0.212734 0.368467i
\(527\) −6.11636e7 −0.417889
\(528\) −2.22966e8 + 1.28730e8i −1.51474 + 0.874534i
\(529\) −4.49549e7 + 7.78643e7i −0.303676 + 0.525982i
\(530\) −3.36001e7 + 5.81972e7i −0.225691 + 0.390908i
\(531\) −2.14184e7 + 3.70977e7i −0.143055 + 0.247778i
\(532\) 5.84429e7 0.388147
\(533\) −5.17802e7 + 8.96859e7i −0.341965 + 0.592301i
\(534\) 4.19645e8 + 2.42282e8i 2.75587 + 1.59110i
\(535\) 5.83674e7 3.36984e7i 0.381161 0.220064i
\(536\) −5.96014e7 + 3.44109e7i −0.387046 + 0.223461i
\(537\) −9.72173e7 −0.627799
\(538\) 2.79901e7i 0.179746i
\(539\) −4.93059e7 8.54004e7i −0.314871 0.545373i
\(540\) −1.71210e7 2.96544e7i −0.108729 0.188325i
\(541\) −9.06542e7 + 1.57018e8i −0.572527 + 0.991646i 0.423779 + 0.905766i \(0.360703\pi\)
−0.996305 + 0.0858799i \(0.972630\pi\)
\(542\) −9.21646e7 5.32113e7i −0.578851 0.334200i
\(543\) 1.21458e8i 0.758624i
\(544\) −2.42107e8 1.39781e8i −1.50387 0.868262i
\(545\) 2.54681e7 + 1.47040e7i 0.157328 + 0.0908334i
\(546\) 9.11015e7 + 5.25975e7i 0.559690 + 0.323137i
\(547\) 7.75933e7 + 1.34396e8i 0.474092 + 0.821151i 0.999560 0.0296623i \(-0.00944320\pi\)
−0.525468 + 0.850813i \(0.676110\pi\)
\(548\) 1.06089e8i 0.644659i
\(549\) 6.93303e7 4.00279e7i 0.418992 0.241905i
\(550\) 2.33511e7 + 1.34818e7i 0.140352 + 0.0810325i
\(551\) −8.65536e7 −0.517404
\(552\) −6.87564e7 + 1.19090e8i −0.408786 + 0.708038i
\(553\) 1.07749e8 6.22087e7i 0.637142 0.367854i
\(554\) 2.81576e7 + 4.87704e7i 0.165602 + 0.286832i
\(555\) 5.94587e7i 0.347806i
\(556\) 5.28949e7 + 9.16166e7i 0.307744 + 0.533028i
\(557\) 2.16954e8 1.25546 0.627729 0.778432i \(-0.283984\pi\)
0.627729 + 0.778432i \(0.283984\pi\)
\(558\) 4.06524e7i 0.233983i
\(559\) 1.02763e8 2.27877e7i 0.588305 0.130456i
\(560\) −1.31834e8 −0.750694
\(561\) 4.01980e8i 2.27675i
\(562\) 3.23619e8 1.86841e8i 1.82316 1.05260i
\(563\) 2.93409e8 1.64418 0.822089 0.569359i \(-0.192809\pi\)
0.822089 + 0.569359i \(0.192809\pi\)
\(564\) −1.25038e8 + 7.21907e7i −0.696955 + 0.402387i
\(565\) −1.09544e8 1.89735e8i −0.607355 1.05197i
\(566\) 4.56352e7 + 2.63475e7i 0.251681 + 0.145308i
\(567\) 1.41966e8i 0.778818i
\(568\) −5.14796e7 + 8.91653e7i −0.280925 + 0.486576i
\(569\) −1.08914e8 1.88645e8i −0.591219 1.02402i −0.994069 0.108755i \(-0.965314\pi\)
0.402850 0.915266i \(-0.368020\pi\)
\(570\) 2.83691e8 1.53187
\(571\) −1.72682e8 + 9.96982e7i −0.927555 + 0.535524i −0.886037 0.463614i \(-0.846553\pi\)
−0.0415175 + 0.999138i \(0.513219\pi\)
\(572\) 3.72679e7 6.45499e7i 0.199135 0.344911i
\(573\) −6.69580e7 + 1.15975e8i −0.355909 + 0.616452i
\(574\) 8.80076e7 1.52434e8i 0.465355 0.806019i
\(575\) 2.84732e7 0.149773
\(576\) 8.88909e6 1.53964e7i 0.0465147 0.0805658i
\(577\) −1.36232e8 7.86533e7i −0.709170 0.409439i 0.101584 0.994827i \(-0.467609\pi\)
−0.810753 + 0.585388i \(0.800942\pi\)
\(578\) −3.38618e8 + 1.95501e8i −1.75358 + 1.01243i
\(579\) 6.28895e6 3.63093e6i 0.0323998 0.0187060i
\(580\) −5.90137e7 −0.302460
\(581\) 1.70084e8i 0.867230i
\(582\) −1.24933e8 2.16391e8i −0.633738 1.09767i
\(583\) −4.05390e7 7.02157e7i −0.204582 0.354347i
\(584\) 3.50407e7 6.06923e7i 0.175928 0.304716i
\(585\) 6.97092e7 + 4.02466e7i 0.348195 + 0.201031i
\(586\) 4.53188e8i 2.25209i
\(587\) −1.87441e8 1.08219e8i −0.926726 0.535045i −0.0409511 0.999161i \(-0.513039\pi\)
−0.885774 + 0.464116i \(0.846372\pi\)
\(588\) 8.20673e7 + 4.73816e7i 0.403681 + 0.233065i
\(589\) −4.51021e7 2.60397e7i −0.220725 0.127435i
\(590\) 4.92974e7 + 8.53855e7i 0.240031 + 0.415746i
\(591\) 2.48952e8i 1.20602i
\(592\) −6.29696e7 + 3.63555e7i −0.303505 + 0.175229i
\(593\) −8.73131e7 5.04102e7i −0.418712 0.241743i 0.275814 0.961211i \(-0.411053\pi\)
−0.694526 + 0.719468i \(0.744386\pi\)
\(594\) 1.08863e8 0.519423
\(595\) −1.02918e8 + 1.78260e8i −0.488587 + 0.846258i
\(596\) 1.46285e8 8.44578e7i 0.690974 0.398934i
\(597\) 2.58755e8 + 4.48178e8i 1.21609 + 2.10633i
\(598\) 2.07402e8i 0.969863i
\(599\) 1.32583e7 + 2.29640e7i 0.0616888 + 0.106848i 0.895220 0.445624i \(-0.147018\pi\)
−0.833532 + 0.552472i \(0.813685\pi\)
\(600\) 1.64551e7 0.0761811
\(601\) 3.34915e8i 1.54281i −0.636347 0.771403i \(-0.719555\pi\)
0.636347 0.771403i \(-0.280445\pi\)
\(602\) −1.74661e8 + 3.87309e7i −0.800581 + 0.177529i
\(603\) −1.41201e8 −0.644002
\(604\) 2.35044e8i 1.06669i
\(605\) 3.02192e7 1.74471e7i 0.136464 0.0787874i
\(606\) 2.39111e7 0.107444
\(607\) 1.22670e8 7.08236e7i 0.548495 0.316674i −0.200020 0.979792i \(-0.564101\pi\)
0.748515 + 0.663118i \(0.230767\pi\)
\(608\) −1.19020e8 2.06149e8i −0.529553 0.917213i
\(609\) 8.70252e7 + 5.02440e7i 0.385295 + 0.222450i
\(610\) 1.84260e8i 0.811784i
\(611\) −6.91458e7 + 1.19764e8i −0.303139 + 0.525052i
\(612\) −8.02280e7 1.38959e8i −0.350003 0.606223i
\(613\) −8.30587e6 −0.0360582 −0.0180291 0.999837i \(-0.505739\pi\)
−0.0180291 + 0.999837i \(0.505739\pi\)
\(614\) −4.19603e8 + 2.42258e8i −1.81273 + 1.04658i
\(615\) 1.62123e8 2.80805e8i 0.696977 1.20720i
\(616\) 4.02259e7 6.96732e7i 0.172093 0.298074i
\(617\) 1.32213e8 2.28999e8i 0.562882 0.974940i −0.434361 0.900739i \(-0.643026\pi\)
0.997243 0.0742015i \(-0.0236408\pi\)
\(618\) 2.48395e8 1.05239
\(619\) 1.03558e8 1.79368e8i 0.436629 0.756264i −0.560798 0.827953i \(-0.689505\pi\)
0.997427 + 0.0716887i \(0.0228388\pi\)
\(620\) −3.07514e7 1.77543e7i −0.129030 0.0744952i
\(621\) 9.95566e7 5.74790e7i 0.415715 0.240013i
\(622\) 3.05766e8 1.76534e8i 1.27062 0.733596i
\(623\) −2.99366e8 −1.23805
\(624\) 2.36975e8i 0.975325i
\(625\) 1.05946e8 + 1.83504e8i 0.433955 + 0.751632i
\(626\) 1.73201e8 + 2.99992e8i 0.706036 + 1.22289i
\(627\) −1.71138e8 + 2.96420e8i −0.694296 + 1.20256i
\(628\) 1.67265e8 + 9.65704e7i 0.675345 + 0.389911i
\(629\) 1.13526e8i 0.456189i
\(630\) −1.18480e8 6.84047e7i −0.473833 0.273568i
\(631\) 2.34018e8 + 1.35110e8i 0.931454 + 0.537775i 0.887271 0.461248i \(-0.152598\pi\)
0.0441826 + 0.999023i \(0.485932\pi\)
\(632\) −1.22771e8 7.08819e7i −0.486345 0.280792i
\(633\) −9.96424e7 1.72586e8i −0.392856 0.680446i
\(634\) 7.07823e7i 0.277752i
\(635\) 9.66691e7 5.58119e7i 0.377543 0.217975i
\(636\) 6.74752e7 + 3.89568e7i 0.262285 + 0.151430i
\(637\) 9.07661e7 0.351160
\(638\) 9.38091e7 1.62482e8i 0.361229 0.625668i
\(639\) −1.82940e8 + 1.05621e8i −0.701142 + 0.404805i
\(640\) 1.12225e8 + 1.94380e8i 0.428106 + 0.741501i
\(641\) 2.70921e8i 1.02865i 0.857595 + 0.514326i \(0.171958\pi\)
−0.857595 + 0.514326i \(0.828042\pi\)
\(642\) −1.02954e8 1.78321e8i −0.389079 0.673904i
\(643\) −1.15803e8 −0.435598 −0.217799 0.975994i \(-0.569888\pi\)
−0.217799 + 0.975994i \(0.569888\pi\)
\(644\) 1.33777e8i 0.500867i
\(645\) −3.21750e8 + 7.13479e7i −1.19906 + 0.265890i
\(646\) −5.41659e8 −2.00922
\(647\) 2.24081e8i 0.827354i 0.910424 + 0.413677i \(0.135756\pi\)
−0.910424 + 0.413677i \(0.864244\pi\)
\(648\) 1.40088e8 8.08797e7i 0.514843 0.297245i
\(649\) −1.18956e8 −0.435163
\(650\) −2.14933e7 + 1.24091e7i −0.0782641 + 0.0451858i
\(651\) 3.02319e7 + 5.23632e7i 0.109578 + 0.189794i
\(652\) −2.13145e8 1.23059e8i −0.769011 0.443989i
\(653\) 1.52001e8i 0.545893i 0.962029 + 0.272947i \(0.0879983\pi\)
−0.962029 + 0.272947i \(0.912002\pi\)
\(654\) 4.49229e7 7.78088e7i 0.160596 0.278160i
\(655\) −2.29371e8 3.97282e8i −0.816234 1.41376i
\(656\) −3.96514e8 −1.40458
\(657\) 1.24522e8 7.18929e7i 0.439087 0.253507i
\(658\) 1.17523e8 2.03555e8i 0.412520 0.714505i
\(659\) 2.85772e8 4.94972e8i 0.998537 1.72952i 0.452438 0.891796i \(-0.350554\pi\)
0.546099 0.837721i \(-0.316112\pi\)
\(660\) −1.16685e8 + 2.02104e8i −0.405867 + 0.702982i
\(661\) 1.01945e8 0.352989 0.176495 0.984302i \(-0.443524\pi\)
0.176495 + 0.984302i \(0.443524\pi\)
\(662\) −1.69279e7 + 2.93200e7i −0.0583484 + 0.101062i
\(663\) −3.20428e8 1.84999e8i −1.09948 0.634788i
\(664\) 1.67833e8 9.68985e7i 0.573289 0.330989i
\(665\) −1.51784e8 + 8.76327e7i −0.516133 + 0.297990i
\(666\) −7.54553e7 −0.255427
\(667\) 1.98122e8i 0.667661i
\(668\) −1.77462e8 3.07373e8i −0.595355 1.03119i
\(669\) 2.05411e8 + 3.55783e8i 0.686034 + 1.18825i
\(670\) −1.62498e8 + 2.81454e8i −0.540285 + 0.935800i
\(671\) 1.92528e8 + 1.11156e8i 0.637273 + 0.367930i
\(672\) 2.76363e8i 0.910693i
\(673\) 1.29678e8 + 7.48697e7i 0.425423 + 0.245618i 0.697395 0.716687i \(-0.254342\pi\)
−0.271972 + 0.962305i \(0.587676\pi\)
\(674\) 5.26215e7 + 3.03810e7i 0.171863 + 0.0992254i
\(675\) −1.19132e7 6.87808e6i −0.0387362 0.0223643i
\(676\) −6.01635e7 1.04206e8i −0.194757 0.337329i
\(677\) 4.69587e8i 1.51339i 0.653771 + 0.756693i \(0.273186\pi\)
−0.653771 + 0.756693i \(0.726814\pi\)
\(678\) −5.79670e8 + 3.34673e8i −1.85991 + 1.07382i
\(679\) 1.33687e8 + 7.71844e7i 0.427052 + 0.246559i
\(680\) 2.34535e8 0.745900
\(681\) 2.81715e8 4.87945e8i 0.892009 1.54500i
\(682\) 9.77657e7 5.64451e7i 0.308201 0.177940i
\(683\) 8.33942e7 + 1.44443e8i 0.261742 + 0.453351i 0.966705 0.255893i \(-0.0823696\pi\)
−0.704963 + 0.709244i \(0.749036\pi\)
\(684\) 1.36625e8i 0.426934i
\(685\) −1.59076e8 2.75529e8i −0.494919 0.857225i
\(686\) −4.18998e8 −1.29790
\(687\) 6.21117e8i 1.91559i
\(688\) 2.72292e8 + 2.97123e8i 0.836121 + 0.912371i
\(689\) 7.46273e7 0.228160
\(690\) 6.49373e8i 1.97673i
\(691\) 2.23152e8 1.28837e8i 0.676343 0.390487i −0.122133 0.992514i \(-0.538973\pi\)
0.798476 + 0.602027i \(0.205640\pi\)
\(692\) 3.52317e8 1.06320
\(693\) 1.42948e8 8.25312e7i 0.429516 0.247981i
\(694\) −2.27726e6 3.94432e6i −0.00681292 0.0118003i
\(695\) −2.74751e8 1.58627e8i −0.818435 0.472524i
\(696\) 1.14498e8i 0.339603i
\(697\) −3.09546e8 + 5.36149e8i −0.914168 + 1.58339i
\(698\) 3.35290e8 + 5.80738e8i 0.985947 + 1.70771i
\(699\) 1.12328e7 0.0328896
\(700\) 1.38634e7 8.00402e6i 0.0404180 0.0233353i
\(701\) 3.25912e8 5.64496e8i 0.946120 1.63873i 0.192628 0.981272i \(-0.438299\pi\)
0.753493 0.657456i \(-0.228368\pi\)
\(702\) −5.01009e7 + 8.67773e7i −0.144822 + 0.250839i
\(703\) −4.83325e7 + 8.37144e7i −0.139115 + 0.240954i
\(704\) 4.93693e7 0.141494
\(705\) 2.16494e8 3.74978e8i 0.617843 1.07014i
\(706\) 2.08237e8 + 1.20226e8i 0.591758 + 0.341652i
\(707\) −1.27933e7 + 7.38619e6i −0.0362012 + 0.0209008i
\(708\) 9.89981e7 5.71566e7i 0.278950 0.161052i
\(709\) −9.85959e7 −0.276643 −0.138322 0.990387i \(-0.544171\pi\)
−0.138322 + 0.990387i \(0.544171\pi\)
\(710\) 4.86201e8i 1.35844i
\(711\) −1.45428e8 2.51889e8i −0.404613 0.700810i
\(712\) 1.70552e8 + 2.95405e8i 0.472516 + 0.818422i
\(713\) 5.96053e7 1.03239e8i 0.164443 0.284824i
\(714\) 5.44611e8 + 3.14431e8i 1.49621 + 0.863836i
\(715\) 2.23527e8i 0.611521i
\(716\) 9.33245e7 + 5.38809e7i 0.254247 + 0.146790i
\(717\) 2.04794e8 + 1.18238e8i 0.555597 + 0.320774i
\(718\) 4.76780e8 + 2.75269e8i 1.28809 + 0.743676i
\(719\) −2.06868e8 3.58306e8i −0.556554 0.963979i −0.997781 0.0665838i \(-0.978790\pi\)
0.441227 0.897395i \(-0.354543\pi\)
\(720\) 3.08194e8i 0.825709i
\(721\) −1.32900e8 + 7.67296e7i −0.354583 + 0.204719i
\(722\) 1.43613e7 + 8.29149e6i 0.0381576 + 0.0220303i
\(723\) −8.54970e8 −2.26223
\(724\) −6.73159e7 + 1.16594e8i −0.177379 + 0.307229i
\(725\) −2.05316e7 + 1.18539e7i −0.0538776 + 0.0311062i
\(726\) −5.33035e7 9.23244e7i −0.139298 0.241272i
\(727\) 5.17844e8i 1.34771i 0.738865 + 0.673854i \(0.235362\pi\)
−0.738865 + 0.673854i \(0.764638\pi\)
\(728\) 3.70254e7 + 6.41299e7i 0.0959634 + 0.166214i
\(729\) 1.40035e8 0.361454
\(730\) 3.30943e8i 0.850717i
\(731\) 6.14326e8 1.36227e8i 1.57270 0.348746i
\(732\) −2.13635e8 −0.544677
\(733\) 4.80474e8i 1.22000i 0.792403 + 0.609998i \(0.208830\pi\)
−0.792403 + 0.609998i \(0.791170\pi\)
\(734\) 2.13658e8 1.23356e8i 0.540296 0.311940i
\(735\) −2.84187e8 −0.715718
\(736\) 4.71878e8 2.72439e8i 1.18358 0.683338i
\(737\) −1.96056e8 3.39578e8i −0.489753 0.848276i
\(738\) −3.56351e8 2.05739e8i −0.886562 0.511857i
\(739\) 3.41996e8i 0.847399i −0.905803 0.423700i \(-0.860731\pi\)
0.905803 0.423700i \(-0.139269\pi\)
\(740\) −3.29539e7 + 5.70778e7i −0.0813227 + 0.140855i
\(741\) −1.57522e8 2.72837e8i −0.387157 0.670576i
\(742\) −1.26840e8 −0.310487
\(743\) 5.19730e8 3.00066e8i 1.26710 0.731561i 0.292663 0.956216i \(-0.405459\pi\)
0.974438 + 0.224654i \(0.0721253\pi\)
\(744\) 3.44469e7 5.96638e7i 0.0836433 0.144874i
\(745\) −2.53282e8 + 4.38697e8i −0.612541 + 1.06095i
\(746\) −3.25325e8 + 5.63480e8i −0.783612 + 1.35726i
\(747\) 3.97613e8 0.953890
\(748\) 2.22790e8 3.85884e8i 0.532342 0.922044i
\(749\) 1.10168e8 + 6.36053e7i 0.262185 + 0.151373i
\(750\) 6.36942e8 3.67739e8i 1.50979 0.871677i
\(751\) 2.26931e7 1.31019e7i 0.0535766 0.0309324i −0.472972 0.881077i \(-0.656819\pi\)
0.526549 + 0.850145i \(0.323486\pi\)
\(752\) −5.29493e8 −1.24511
\(753\) 5.55717e8i 1.30157i
\(754\) 8.63455e7 + 1.49555e8i 0.201431 + 0.348888i
\(755\) −3.52439e8 6.10442e8i −0.818923 1.41842i
\(756\) 3.23156e7 5.59722e7i 0.0747905 0.129541i
\(757\) 1.95459e8 + 1.12849e8i 0.450577 + 0.260141i 0.708074 0.706138i \(-0.249564\pi\)
−0.257497 + 0.966279i \(0.582898\pi\)
\(758\) 2.18722e8i 0.502209i
\(759\) −6.78511e8 3.91738e8i −1.55178 0.895923i
\(760\) 1.72946e8 + 9.98505e7i 0.393976 + 0.227462i
\(761\) −1.31405e8 7.58669e7i −0.298167 0.172147i 0.343452 0.939170i \(-0.388404\pi\)
−0.641619 + 0.767023i \(0.721737\pi\)
\(762\) −1.70514e8 2.95339e8i −0.385385 0.667506i
\(763\) 5.55071e7i 0.124961i
\(764\) 1.28554e8 7.42205e7i 0.288273 0.166435i
\(765\) 4.16727e8 + 2.40597e8i 0.930822 + 0.537411i
\(766\) 9.62118e8