Properties

Label 43.8.g.a.9.14
Level 43
Weight 8
Character 43.9
Analytic conductor 13.433
Analytic rank 0
Dimension 300
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.4325560958\)
Analytic rank: \(0\)
Dimension: \(300\)
Relative dimension: \(25\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.14
Character \(\chi\) \(=\) 43.9
Dual form 43.8.g.a.24.14

$q$-expansion

\(f(q)\) \(=\) \(q+(2.22112 + 2.78519i) q^{2} +(-37.3010 - 5.62222i) q^{3} +(25.6587 - 112.418i) q^{4} +(39.7972 + 27.1333i) q^{5} +(-67.1910 - 116.378i) q^{6} +(-76.5793 + 132.639i) q^{7} +(780.928 - 376.075i) q^{8} +(-730.081 - 225.200i) q^{9} +O(q^{10})\) \(q+(2.22112 + 2.78519i) q^{2} +(-37.3010 - 5.62222i) q^{3} +(25.6587 - 112.418i) q^{4} +(39.7972 + 27.1333i) q^{5} +(-67.1910 - 116.378i) q^{6} +(-76.5793 + 132.639i) q^{7} +(780.928 - 376.075i) q^{8} +(-730.081 - 225.200i) q^{9} +(12.8229 + 171.109i) q^{10} +(247.552 + 1084.60i) q^{11} +(-1589.14 + 4049.06i) q^{12} +(-542.368 + 7237.40i) q^{13} +(-539.517 + 81.3192i) q^{14} +(-1331.93 - 1235.85i) q^{15} +(-10516.0 - 5064.22i) q^{16} +(-23860.6 + 16267.9i) q^{17} +(-994.370 - 2533.61i) q^{18} +(-33347.5 + 10286.3i) q^{19} +(4071.42 - 3777.73i) q^{20} +(3602.21 - 4517.03i) q^{21} +(-2470.97 + 3098.50i) q^{22} +(-8253.57 + 7658.19i) q^{23} +(-31243.8 + 9637.43i) q^{24} +(-27694.7 - 70564.9i) q^{25} +(-21362.2 + 14564.5i) q^{26} +(100295. + 48299.8i) q^{27} +(12946.1 + 12012.3i) q^{28} +(-15211.5 + 2292.76i) q^{29} +(483.708 - 6454.63i) q^{30} +(-102376. + 260849. i) q^{31} +(-33940.1 - 148701. i) q^{32} +(-3136.10 - 41848.3i) q^{33} +(-98306.4 - 30323.5i) q^{34} +(-6646.57 + 3200.82i) q^{35} +(-44049.6 + 76296.1i) q^{36} +(100741. + 174489. i) q^{37} +(-102718. - 70032.0i) q^{38} +(60921.2 - 266913. i) q^{39} +(41282.9 + 6222.39i) q^{40} +(140957. + 176755. i) q^{41} +20581.7 q^{42} +(209663. - 477347. i) q^{43} +128280. q^{44} +(-22944.8 - 28771.8i) q^{45} +(-39661.7 - 5978.04i) q^{46} +(55359.6 - 242546. i) q^{47} +(363784. + 248024. i) q^{48} +(400043. + 692894. i) q^{49} +(135024. - 233868. i) q^{50} +(981486. - 472659. i) q^{51} +(799700. + 246675. i) q^{52} +(-115274. - 1.53823e6i) q^{53} +(88243.9 + 386622. i) q^{54} +(-19576.8 + 49880.8i) q^{55} +(-9920.59 + 132381. i) q^{56} +(1.30173e6 - 196204. i) q^{57} +(-40172.3 - 37274.4i) q^{58} +(-1.58742e6 - 764461. i) q^{59} +(-173107. + 118023. i) q^{60} +(-573411. - 1.46103e6i) q^{61} +(-953903. + 294240. i) q^{62} +(85779.5 - 79591.7i) q^{63} +(-592713. + 743239. i) q^{64} +(-217959. + 273312. i) q^{65} +(109590. - 101685. i) q^{66} +(-2.80244e6 + 864439. i) q^{67} +(1.21657e6 + 3.09978e6i) q^{68} +(350922. - 239255. i) q^{69} +(-23677.7 - 11402.6i) q^{70} +(-1.85678e6 - 1.72284e6i) q^{71} +(-654833. + 98700.2i) q^{72} +(-65828.0 + 878413. i) q^{73} +(-262227. + 668144. i) q^{74} +(636308. + 2.78785e6i) q^{75} +(300718. + 4.01280e6i) q^{76} +(-162817. - 50222.5i) q^{77} +(878718. - 423168. i) q^{78} +(330578. - 572578. i) q^{79} +(-281097. - 486874. i) q^{80} +(-2.08899e6 - 1.42425e6i) q^{81} +(-179213. + 785185. i) q^{82} +(-4.32122e6 - 651319. i) q^{83} +(-415369. - 520856. i) q^{84} -1.39099e6 q^{85} +(1.79519e6 - 476293. i) q^{86} +580294. q^{87} +(601210. + 753893. i) q^{88} +(-2.92399e6 - 440720. i) q^{89} +(29172.1 - 127811. i) q^{90} +(-918429. - 626174. i) q^{91} +(649145. + 1.12435e6i) q^{92} +(5.28526e6 - 9.15435e6i) q^{93} +(798498. - 384537. i) q^{94} +(-1.60624e6 - 495458. i) q^{95} +(429969. + 5.73753e6i) q^{96} +(-1.26764e6 - 5.55388e6i) q^{97} +(-1.04130e6 + 2.65320e6i) q^{98} +(63518.3 - 847592. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} + O(q^{10}) \) \( 300q - 40q^{2} - 12q^{3} - 3028q^{4} + 235q^{5} + 1274q^{6} - 4122q^{7} + 762q^{8} + 8097q^{9} - 1681q^{10} + 4580q^{11} + 9330q^{12} - 20444q^{13} - 45798q^{14} + 50477q^{15} - 74504q^{16} - 25312q^{17} + 2046q^{18} + 4046q^{19} + 140781q^{20} + 100555q^{21} + 95810q^{22} + 1648q^{23} - 292592q^{24} + 419068q^{25} + 393435q^{26} + 274140q^{27} + 233644q^{28} + 605697q^{29} - 1216016q^{30} + 358580q^{31} - 19194q^{32} + 1280291q^{33} + 1137255q^{34} + 652739q^{35} - 8980975q^{36} - 2360047q^{37} - 308490q^{38} + 536339q^{39} + 3057993q^{40} - 1376320q^{41} + 8417790q^{42} + 7173000q^{43} - 3856780q^{44} + 2761486q^{45} - 7073993q^{46} + 1437090q^{47} - 9543469q^{48} - 16053170q^{49} - 3046893q^{50} + 2972901q^{51} + 17415142q^{52} + 3320604q^{53} + 6000486q^{54} + 13427750q^{55} - 5450793q^{56} + 3333100q^{57} - 7876190q^{58} - 7084765q^{59} + 7356443q^{60} + 3354606q^{61} - 719427q^{62} + 14716815q^{63} - 16086234q^{64} - 19914646q^{65} - 8293345q^{66} + 13025470q^{67} - 22191927q^{68} - 33964295q^{69} + 8094727q^{70} + 30843495q^{71} + 93841607q^{72} - 3067637q^{73} + 18179570q^{74} - 41508571q^{75} - 19751872q^{76} - 15169179q^{77} - 69509396q^{78} - 12090149q^{79} - 69662530q^{80} + 3387954q^{81} + 39226888q^{82} + 16408777q^{83} + 98603231q^{84} - 13423424q^{85} + 111906660q^{86} + 49022010q^{87} + 76213954q^{88} - 12540205q^{89} - 92608607q^{90} - 59091937q^{91} - 50489370q^{92} - 52218334q^{93} - 3441600q^{94} - 79947551q^{95} - 23449784q^{96} - 116467587q^{97} + 73909552q^{98} - 20061115q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.22112 + 2.78519i 0.196321 + 0.246179i 0.870242 0.492625i \(-0.163963\pi\)
−0.673921 + 0.738804i \(0.735391\pi\)
\(3\) −37.3010 5.62222i −0.797620 0.120222i −0.262427 0.964952i \(-0.584523\pi\)
−0.535193 + 0.844730i \(0.679761\pi\)
\(4\) 25.6587 112.418i 0.200459 0.878268i
\(5\) 39.7972 + 27.1333i 0.142383 + 0.0970749i 0.632416 0.774629i \(-0.282063\pi\)
−0.490034 + 0.871703i \(0.663016\pi\)
\(6\) −67.1910 116.378i −0.126994 0.219959i
\(7\) −76.5793 + 132.639i −0.0843855 + 0.146160i −0.905129 0.425137i \(-0.860226\pi\)
0.820744 + 0.571297i \(0.193559\pi\)
\(8\) 780.928 376.075i 0.539257 0.259693i
\(9\) −730.081 225.200i −0.333828 0.102972i
\(10\) 12.8229 + 171.109i 0.00405494 + 0.0541094i
\(11\) 247.552 + 1084.60i 0.0560779 + 0.245694i 0.995196 0.0979006i \(-0.0312127\pi\)
−0.939118 + 0.343594i \(0.888356\pi\)
\(12\) −1589.14 + 4049.06i −0.265477 + 0.676425i
\(13\) −542.368 + 7237.40i −0.0684688 + 0.913653i 0.852177 + 0.523254i \(0.175282\pi\)
−0.920646 + 0.390399i \(0.872337\pi\)
\(14\) −539.517 + 81.3192i −0.0525481 + 0.00792036i
\(15\) −1331.93 1235.85i −0.101897 0.0945465i
\(16\) −10516.0 5064.22i −0.641843 0.309095i
\(17\) −23860.6 + 16267.9i −1.17790 + 0.803082i −0.984040 0.177947i \(-0.943055\pi\)
−0.193864 + 0.981028i \(0.562102\pi\)
\(18\) −994.370 2533.61i −0.0401878 0.102397i
\(19\) −33347.5 + 10286.3i −1.11539 + 0.344051i −0.797042 0.603924i \(-0.793603\pi\)
−0.318344 + 0.947975i \(0.603127\pi\)
\(20\) 4071.42 3777.73i 0.113800 0.105591i
\(21\) 3602.21 4517.03i 0.0848793 0.106435i
\(22\) −2470.97 + 3098.50i −0.0494752 + 0.0620400i
\(23\) −8253.57 + 7658.19i −0.141447 + 0.131244i −0.747723 0.664010i \(-0.768853\pi\)
0.606276 + 0.795254i \(0.292663\pi\)
\(24\) −31243.8 + 9637.43i −0.461343 + 0.142306i
\(25\) −27694.7 70564.9i −0.354492 0.903230i
\(26\) −21362.2 + 14564.5i −0.238364 + 0.162514i
\(27\) 100295. + 48299.8i 0.980637 + 0.472250i
\(28\) 12946.1 + 12012.3i 0.111452 + 0.103412i
\(29\) −15211.5 + 2292.76i −0.115819 + 0.0174568i −0.206696 0.978405i \(-0.566271\pi\)
0.0908772 + 0.995862i \(0.471033\pi\)
\(30\) 483.708 6454.63i 0.00327084 0.0436463i
\(31\) −102376. + 260849.i −0.617207 + 1.57262i 0.189639 + 0.981854i \(0.439268\pi\)
−0.806845 + 0.590763i \(0.798827\pi\)
\(32\) −33940.1 148701.i −0.183100 0.802214i
\(33\) −3136.10 41848.3i −0.0151912 0.202712i
\(34\) −98306.4 30323.5i −0.428949 0.132313i
\(35\) −6646.57 + 3200.82i −0.0262035 + 0.0126189i
\(36\) −44049.6 + 76296.1i −0.157356 + 0.272548i
\(37\) 100741. + 174489.i 0.326965 + 0.566320i 0.981908 0.189358i \(-0.0606407\pi\)
−0.654943 + 0.755678i \(0.727307\pi\)
\(38\) −102718. 70032.0i −0.303672 0.207040i
\(39\) 60921.2 266913.i 0.164453 0.720516i
\(40\) 41282.9 + 6222.39i 0.101991 + 0.0153726i
\(41\) 140957. + 176755.i 0.319406 + 0.400523i 0.915452 0.402428i \(-0.131834\pi\)
−0.596045 + 0.802951i \(0.703262\pi\)
\(42\) 20581.7 0.0428657
\(43\) 209663. 477347.i 0.402144 0.915576i
\(44\) 128280. 0.227026
\(45\) −22944.8 28771.8i −0.0375353 0.0470678i
\(46\) −39661.7 5978.04i −0.0600785 0.00905537i
\(47\) 55359.6 242546.i 0.0777769 0.340763i −0.921036 0.389478i \(-0.872656\pi\)
0.998813 + 0.0487151i \(0.0155126\pi\)
\(48\) 363784. + 248024.i 0.474787 + 0.323704i
\(49\) 400043. + 692894.i 0.485758 + 0.841358i
\(50\) 135024. 233868.i 0.152762 0.264591i
\(51\) 981486. 472659.i 1.03607 0.498944i
\(52\) 799700. + 246675.i 0.788706 + 0.243284i
\(53\) −115274. 1.53823e6i −0.106357 1.41924i −0.753789 0.657116i \(-0.771776\pi\)
0.647432 0.762123i \(-0.275843\pi\)
\(54\) 88243.9 + 386622.i 0.0762617 + 0.334124i
\(55\) −19576.8 + 49880.8i −0.0158661 + 0.0404263i
\(56\) −9920.59 + 132381.i −0.00754883 + 0.100732i
\(57\) 1.30173e6 196204.i 0.931017 0.140328i
\(58\) −40172.3 37274.4i −0.0270351 0.0250849i
\(59\) −1.58742e6 764461.i −1.00626 0.484589i −0.143201 0.989694i \(-0.545740\pi\)
−0.863058 + 0.505105i \(0.831454\pi\)
\(60\) −173107. + 118023.i −0.103463 + 0.0705400i
\(61\) −573411. 1.46103e6i −0.323453 0.824145i −0.996425 0.0844776i \(-0.973078\pi\)
0.672972 0.739668i \(-0.265017\pi\)
\(62\) −953903. + 294240.i −0.508315 + 0.156794i
\(63\) 85779.5 79591.7i 0.0432207 0.0401029i
\(64\) −592713. + 743239.i −0.282628 + 0.354404i
\(65\) −217959. + 273312.i −0.0984415 + 0.123442i
\(66\) 109590. 101685.i 0.0469210 0.0435363i
\(67\) −2.80244e6 + 864439.i −1.13835 + 0.351134i −0.805937 0.592001i \(-0.798338\pi\)
−0.332410 + 0.943135i \(0.607862\pi\)
\(68\) 1.21657e6 + 3.09978e6i 0.469199 + 1.19550i
\(69\) 350922. 239255.i 0.128600 0.0876777i
\(70\) −23677.7 11402.6i −0.00825082 0.00397338i
\(71\) −1.85678e6 1.72284e6i −0.615682 0.571269i 0.309450 0.950916i \(-0.399855\pi\)
−0.925132 + 0.379647i \(0.876046\pi\)
\(72\) −654833. + 98700.2i −0.206760 + 0.0311641i
\(73\) −65828.0 + 878413.i −0.0198053 + 0.264283i 0.978507 + 0.206213i \(0.0661138\pi\)
−0.998312 + 0.0580703i \(0.981505\pi\)
\(74\) −262227. + 668144.i −0.0752258 + 0.191672i
\(75\) 636308. + 2.78785e6i 0.174162 + 0.763053i
\(76\) 300718. + 4.01280e6i 0.0785799 + 1.04858i
\(77\) −162817. 50222.5i −0.0406427 0.0125366i
\(78\) 878718. 423168.i 0.209661 0.100968i
\(79\) 330578. 572578.i 0.0754360 0.130659i −0.825840 0.563905i \(-0.809298\pi\)
0.901276 + 0.433246i \(0.142632\pi\)
\(80\) −281097. 486874.i −0.0613820 0.106317i
\(81\) −2.08899e6 1.42425e6i −0.436756 0.297775i
\(82\) −179213. + 785185.i −0.0358940 + 0.157262i
\(83\) −4.32122e6 651319.i −0.829531 0.125032i −0.279468 0.960155i \(-0.590158\pi\)
−0.550063 + 0.835123i \(0.685396\pi\)
\(84\) −415369. 520856.i −0.0764638 0.0958826i
\(85\) −1.39099e6 −0.245672
\(86\) 1.79519e6 476293.i 0.304345 0.0807475i
\(87\) 580294. 0.0944780
\(88\) 601210. + 753893.i 0.0940452 + 0.117929i
\(89\) −2.92399e6 440720.i −0.439653 0.0662670i −0.0745139 0.997220i \(-0.523741\pi\)
−0.365139 + 0.930953i \(0.618979\pi\)
\(90\) 29172.1 127811.i 0.00421812 0.0184808i
\(91\) −918429. 626174.i −0.127762 0.0871065i
\(92\) 649145. + 1.12435e6i 0.0869129 + 0.150537i
\(93\) 5.28526e6 9.15435e6i 0.681360 1.18015i
\(94\) 798498. 384537.i 0.0991577 0.0477518i
\(95\) −1.60624e6 495458.i −0.192210 0.0592891i
\(96\) 429969. + 5.73753e6i 0.0496007 + 0.661875i
\(97\) −1.26764e6 5.55388e6i −0.141024 0.617868i −0.995198 0.0978803i \(-0.968794\pi\)
0.854174 0.519987i \(-0.174063\pi\)
\(98\) −1.04130e6 + 2.65320e6i −0.111760 + 0.284759i
\(99\) 63518.3 847592.i 0.00657924 0.0877938i
\(100\) −8.64339e6 + 1.30278e6i −0.864339 + 0.130278i
\(101\) 4.57259e6 + 4.24274e6i 0.441608 + 0.409753i 0.869388 0.494130i \(-0.164513\pi\)
−0.427779 + 0.903883i \(0.640704\pi\)
\(102\) 3.49644e6 + 1.68380e6i 0.326231 + 0.157105i
\(103\) 1.17204e6 799082.i 0.105685 0.0720545i −0.509325 0.860575i \(-0.670105\pi\)
0.615009 + 0.788520i \(0.289152\pi\)
\(104\) 2.29826e6 + 5.85586e6i 0.200346 + 0.510474i
\(105\) 265920. 82025.3i 0.0224175 0.00691489i
\(106\) 4.02823e6 3.73765e6i 0.328506 0.304809i
\(107\) −2.66088e6 + 3.33664e6i −0.209982 + 0.263309i −0.875658 0.482932i \(-0.839572\pi\)
0.665676 + 0.746241i \(0.268143\pi\)
\(108\) 8.00323e6 1.00357e7i 0.611339 0.766595i
\(109\) 5.70526e6 5.29371e6i 0.421971 0.391532i −0.440406 0.897799i \(-0.645165\pi\)
0.862377 + 0.506267i \(0.168975\pi\)
\(110\) −182410. + 56266.0i −0.0130669 + 0.00403062i
\(111\) −2.77673e6 7.07500e6i −0.192710 0.491017i
\(112\) 1.47702e6 1.00701e6i 0.0993397 0.0677287i
\(113\) 1.78244e7 + 8.58377e6i 1.16209 + 0.559633i 0.912644 0.408755i \(-0.134037\pi\)
0.249447 + 0.968389i \(0.419751\pi\)
\(114\) 3.43775e6 + 3.18977e6i 0.217324 + 0.201647i
\(115\) −536260. + 80828.3i −0.0328801 + 0.00495588i
\(116\) −132559. + 1.76888e6i −0.00788508 + 0.105219i
\(117\) 2.02584e6 5.16175e6i 0.116938 0.297952i
\(118\) −1.39667e6 6.11923e6i −0.0782543 0.342855i
\(119\) −330531. 4.41063e6i −0.0179803 0.239931i
\(120\) −1.50491e6 464203.i −0.0795016 0.0245230i
\(121\) 1.64423e7 7.91818e6i 0.843748 0.406328i
\(122\) 2.79563e6 4.84217e6i 0.139386 0.241424i
\(123\) −4.26409e6 7.38562e6i −0.206613 0.357865i
\(124\) 2.66973e7 + 1.82019e7i 1.25745 + 0.857318i
\(125\) 1.64984e6 7.22841e6i 0.0755537 0.331022i
\(126\) 412205. + 62129.9i 0.0183576 + 0.00276696i
\(127\) −1.05318e6 1.32064e6i −0.0456234 0.0572100i 0.758496 0.651677i \(-0.225934\pi\)
−0.804120 + 0.594467i \(0.797363\pi\)
\(128\) −2.29098e7 −0.965577
\(129\) −1.05044e7 + 1.66268e7i −0.430831 + 0.681936i
\(130\) −1.24534e6 −0.0497149
\(131\) −1.65803e7 2.07911e7i −0.644382 0.808030i 0.347161 0.937805i \(-0.387146\pi\)
−0.991543 + 0.129776i \(0.958574\pi\)
\(132\) −4.78499e6 721221.i −0.181081 0.0272935i
\(133\) 1.18935e6 5.21090e6i 0.0438359 0.192058i
\(134\) −8.63218e6 5.88532e6i −0.309923 0.211302i
\(135\) 2.68095e6 + 4.64354e6i 0.0937821 + 0.162435i
\(136\) −1.25155e7 + 2.16774e7i −0.426639 + 0.738960i
\(137\) 3.89585e6 1.87614e6i 0.129444 0.0623367i −0.368041 0.929810i \(-0.619971\pi\)
0.497485 + 0.867473i \(0.334257\pi\)
\(138\) 1.44581e6 + 445974.i 0.0468312 + 0.0144455i
\(139\) 2.83376e6 + 3.78139e7i 0.0894975 + 1.19426i 0.843404 + 0.537280i \(0.180548\pi\)
−0.753907 + 0.656982i \(0.771833\pi\)
\(140\) 189288. + 829325.i 0.00583009 + 0.0255433i
\(141\) −3.42862e6 + 8.73598e6i −0.103004 + 0.262449i
\(142\) 674316. 8.99812e6i 0.0197631 0.263720i
\(143\) −7.98393e6 + 1.20338e6i −0.228318 + 0.0344134i
\(144\) 6.53704e6 + 6.06549e6i 0.182437 + 0.169277i
\(145\) −667584. 321492.i −0.0181852 0.00875753i
\(146\) −2.59276e6 + 1.76772e6i −0.0689490 + 0.0470086i
\(147\) −1.10264e7 2.80948e7i −0.286301 0.729483i
\(148\) 2.22006e7 6.84799e6i 0.562924 0.173639i
\(149\) −4.16993e7 + 3.86913e7i −1.03271 + 0.958211i −0.999150 0.0412262i \(-0.986874\pi\)
−0.0335556 + 0.999437i \(0.510683\pi\)
\(150\) −6.35138e6 + 7.96438e6i −0.153656 + 0.192678i
\(151\) −4.75736e6 + 5.96554e6i −0.112447 + 0.141004i −0.834870 0.550448i \(-0.814457\pi\)
0.722423 + 0.691452i \(0.243028\pi\)
\(152\) −2.21735e7 + 2.05740e7i −0.512132 + 0.475189i
\(153\) 2.10837e7 6.50346e6i 0.475912 0.146800i
\(154\) −221757. 565028.i −0.00489277 0.0124666i
\(155\) −1.11519e7 + 7.60326e6i −0.240541 + 0.163998i
\(156\) −2.84428e7 1.36973e7i −0.599840 0.288868i
\(157\) −3.97423e7 3.68755e7i −0.819605 0.760482i 0.154158 0.988046i \(-0.450733\pi\)
−0.973763 + 0.227564i \(0.926924\pi\)
\(158\) 2.32899e6 351039.i 0.0469752 0.00708036i
\(159\) −4.34842e6 + 5.80256e7i −0.0857910 + 1.14480i
\(160\) 2.68403e6 6.83880e6i 0.0518045 0.131996i
\(161\) −383724. 1.68120e6i −0.00724650 0.0317490i
\(162\) −673083. 8.98167e6i −0.0124384 0.165980i
\(163\) 4.63882e7 + 1.43089e7i 0.838978 + 0.258790i 0.684324 0.729178i \(-0.260097\pi\)
0.154654 + 0.987969i \(0.450574\pi\)
\(164\) 2.34872e7 1.13108e7i 0.415794 0.200236i
\(165\) 1.01067e6 1.75054e6i 0.0175153 0.0303374i
\(166\) −7.78388e6 1.34821e7i −0.132074 0.228759i
\(167\) −7.38087e7 5.03219e7i −1.22631 0.836084i −0.235570 0.971857i \(-0.575696\pi\)
−0.990740 + 0.135774i \(0.956648\pi\)
\(168\) 1.11432e6 4.88218e6i 0.0181313 0.0794385i
\(169\) 9.96182e6 + 1.50150e6i 0.158758 + 0.0239289i
\(170\) −3.08954e6 3.87416e6i −0.0482306 0.0604793i
\(171\) 2.66628e7 0.407775
\(172\) −4.82828e7 3.58180e7i −0.723508 0.536726i
\(173\) 1.48057e7 0.217404 0.108702 0.994074i \(-0.465331\pi\)
0.108702 + 0.994074i \(0.465331\pi\)
\(174\) 1.28890e6 + 1.61623e6i 0.0185480 + 0.0232585i
\(175\) 1.14805e7 + 1.73041e6i 0.161930 + 0.0244070i
\(176\) 2.88939e6 1.26592e7i 0.0399495 0.175030i
\(177\) 5.49144e7 + 3.74400e7i 0.744355 + 0.507493i
\(178\) −5.26703e6 9.12276e6i −0.0699996 0.121243i
\(179\) −2.28281e6 + 3.95394e6i −0.0297498 + 0.0515281i −0.880517 0.474015i \(-0.842804\pi\)
0.850767 + 0.525543i \(0.176138\pi\)
\(180\) −3.82321e6 + 1.84116e6i −0.0488624 + 0.0235309i
\(181\) 1.34447e8 + 4.14713e7i 1.68529 + 0.519843i 0.981647 0.190709i \(-0.0610787\pi\)
0.703644 + 0.710552i \(0.251555\pi\)
\(182\) −295922. 3.94881e6i −0.00363855 0.0485530i
\(183\) 1.31746e7 + 5.77216e7i 0.158913 + 0.696241i
\(184\) −3.56539e6 + 9.08445e6i −0.0421934 + 0.107507i
\(185\) −725236. + 9.67761e6i −0.00842129 + 0.112374i
\(186\) 3.72358e7 5.61240e6i 0.424293 0.0639518i
\(187\) −2.35508e7 2.18520e7i −0.263366 0.244368i
\(188\) −2.58462e7 1.24469e7i −0.283690 0.136618i
\(189\) −1.40870e7 + 9.60435e6i −0.151776 + 0.103479i
\(190\) −2.18769e6 5.57415e6i −0.0231392 0.0589578i
\(191\) −1.47185e8 + 4.54007e7i −1.52844 + 0.471461i −0.941170 0.337932i \(-0.890272\pi\)
−0.587267 + 0.809393i \(0.699796\pi\)
\(192\) 2.62875e7 2.43912e7i 0.268037 0.248702i
\(193\) 1.78593e7 2.23948e7i 0.178819 0.224232i −0.684342 0.729162i \(-0.739910\pi\)
0.863160 + 0.504930i \(0.168482\pi\)
\(194\) 1.26531e7 1.58664e7i 0.124420 0.156018i
\(195\) 9.66672e6 8.96940e6i 0.0933594 0.0866248i
\(196\) 8.81586e7 2.71933e7i 0.836312 0.257968i
\(197\) 2.00073e7 + 5.09777e7i 0.186447 + 0.475060i 0.993282 0.115717i \(-0.0369166\pi\)
−0.806835 + 0.590777i \(0.798821\pi\)
\(198\) 2.50179e6 1.70569e6i 0.0229046 0.0156161i
\(199\) 1.10720e8 + 5.33200e7i 0.995957 + 0.479627i 0.859564 0.511028i \(-0.170735\pi\)
0.136392 + 0.990655i \(0.456449\pi\)
\(200\) −4.81652e7 4.46908e7i −0.425724 0.395014i
\(201\) 1.09394e8 1.64885e7i 0.950183 0.143217i
\(202\) −1.66060e6 + 2.21592e7i −0.0141754 + 0.189158i
\(203\) 860774. 2.19322e6i 0.00722192 0.0184012i
\(204\) −2.79518e7 1.22465e8i −0.230518 1.00996i
\(205\) 813766. + 1.08590e7i 0.00659722 + 0.0880338i
\(206\) 4.82883e6 + 1.48950e6i 0.0384864 + 0.0118715i
\(207\) 7.75040e6 3.73240e6i 0.0607335 0.0292477i
\(208\) 4.23553e7 7.33616e7i 0.326352 0.565258i
\(209\) −1.94117e7 3.36221e7i −0.147080 0.254749i
\(210\) 819095. + 558450.i 0.00610333 + 0.00416118i
\(211\) 1.18427e7 5.18861e7i 0.0867882 0.380244i −0.912816 0.408371i \(-0.866097\pi\)
0.999604 + 0.0281269i \(0.00895424\pi\)
\(212\) −1.75883e8 2.65101e7i −1.26779 0.191089i
\(213\) 5.95736e7 + 7.47029e7i 0.422401 + 0.529674i
\(214\) −1.52033e7 −0.106045
\(215\) 2.12960e7 1.33082e7i 0.146138 0.0913242i
\(216\) 9.64878e7 0.651455
\(217\) −2.67589e7 3.35546e7i −0.177770 0.222917i
\(218\) 2.74161e7 + 4.13231e6i 0.179229 + 0.0270144i
\(219\) 7.39409e6 3.23956e7i 0.0475697 0.208416i
\(220\) 5.10520e6 + 3.48066e6i 0.0323246 + 0.0220385i
\(221\) −1.04796e8 1.81512e8i −0.653088 1.13118i
\(222\) 1.35378e7 2.34482e7i 0.0830449 0.143838i
\(223\) 1.01338e8 4.88016e7i 0.611933 0.294691i −0.102132 0.994771i \(-0.532566\pi\)
0.714065 + 0.700080i \(0.246852\pi\)
\(224\) 2.23227e7 + 6.88565e6i 0.132703 + 0.0409333i
\(225\) 4.32813e6 + 5.77549e7i 0.0253316 + 0.338026i
\(226\) 1.56826e7 + 6.87099e7i 0.0903729 + 0.395950i
\(227\) −9.36428e7 + 2.38598e8i −0.531354 + 1.35387i 0.373296 + 0.927712i \(0.378228\pi\)
−0.904650 + 0.426155i \(0.859868\pi\)
\(228\) 1.13438e7 1.51372e8i 0.0633849 0.845812i
\(229\) 3.82427e7 5.76416e6i 0.210438 0.0317185i −0.0429770 0.999076i \(-0.513684\pi\)
0.253415 + 0.967358i \(0.418446\pi\)
\(230\) −1.41622e6 1.31406e6i −0.00767509 0.00712144i
\(231\) 5.79089e6 + 2.78874e6i 0.0309103 + 0.0148856i
\(232\) −1.10168e7 + 7.51114e6i −0.0579226 + 0.0394910i
\(233\) 4.92890e7 + 1.25586e8i 0.255273 + 0.650424i 0.999854 0.0171079i \(-0.00544589\pi\)
−0.744581 + 0.667532i \(0.767351\pi\)
\(234\) 1.88761e7 5.82251e6i 0.0963068 0.0297067i
\(235\) 8.78423e6 8.15057e6i 0.0441536 0.0409685i
\(236\) −1.26671e8 + 1.58840e8i −0.627313 + 0.786625i
\(237\) −1.55500e7 + 1.94991e7i −0.0758774 + 0.0951473i
\(238\) 1.15503e7 1.07171e7i 0.0555360 0.0515299i
\(239\) −1.72463e7 + 5.31977e6i −0.0817152 + 0.0252058i −0.335343 0.942096i \(-0.608852\pi\)
0.253628 + 0.967302i \(0.418376\pi\)
\(240\) 7.74788e6 + 1.97413e7i 0.0361779 + 0.0921799i
\(241\) −2.42960e8 + 1.65647e8i −1.11809 + 0.762298i −0.973838 0.227244i \(-0.927028\pi\)
−0.144247 + 0.989542i \(0.546076\pi\)
\(242\) 5.85739e7 + 2.82077e7i 0.265675 + 0.127942i
\(243\) −1.08552e8 1.00721e8i −0.485305 0.450298i
\(244\) −1.78959e8 + 2.69738e7i −0.788660 + 0.118871i
\(245\) −2.87991e6 + 3.84297e7i −0.0125112 + 0.166950i
\(246\) 1.10993e7 2.82806e7i 0.0475361 0.121120i
\(247\) −5.63597e7 2.46928e8i −0.237974 1.04263i
\(248\) 1.81508e7 + 2.42205e8i 0.0755638 + 1.00833i
\(249\) 1.57524e8 + 4.85897e7i 0.646620 + 0.199456i
\(250\) 2.37970e7 1.14600e7i 0.0963235 0.0463869i
\(251\) −2.27800e8 + 3.94561e8i −0.909275 + 1.57491i −0.0942021 + 0.995553i \(0.530030\pi\)
−0.815073 + 0.579358i \(0.803303\pi\)
\(252\) −6.74657e6 1.16854e7i −0.0265571 0.0459983i
\(253\) −1.03492e7 7.05599e6i −0.0401778 0.0273928i
\(254\) 1.33901e6 5.86660e6i 0.00512704 0.0224630i
\(255\) 5.18852e7 + 7.82043e6i 0.195953 + 0.0295352i
\(256\) 2.49819e7 + 3.13263e7i 0.0930648 + 0.116700i
\(257\) −5.33180e8 −1.95933 −0.979666 0.200635i \(-0.935699\pi\)
−0.979666 + 0.200635i \(0.935699\pi\)
\(258\) −6.96402e7 + 7.67324e6i −0.252459 + 0.0278170i
\(259\) −3.08588e7 −0.110364
\(260\) 2.51327e7 + 3.15154e7i 0.0886814 + 0.111203i
\(261\) 1.16219e7 + 1.75173e6i 0.0404610 + 0.00609852i
\(262\) 2.10803e7 9.23588e7i 0.0724140 0.317266i
\(263\) −3.78403e8 2.57991e8i −1.28265 0.874499i −0.286162 0.958181i \(-0.592380\pi\)
−0.996492 + 0.0836823i \(0.973332\pi\)
\(264\) −1.81872e7 3.15011e7i −0.0608347 0.105369i
\(265\) 3.71496e7 6.43450e7i 0.122629 0.212400i
\(266\) 1.71551e7 8.26144e6i 0.0558864 0.0269135i
\(267\) 1.06590e8 + 3.28786e7i 0.342710 + 0.105712i
\(268\) 2.52716e7 + 3.37226e8i 0.0801975 + 1.07016i
\(269\) −1.55129e7 6.79663e7i −0.0485914 0.212893i 0.944804 0.327637i \(-0.106252\pi\)
−0.993395 + 0.114744i \(0.963395\pi\)
\(270\) −6.97845e6 + 1.77808e7i −0.0215767 + 0.0549766i
\(271\) 1.26320e7 1.68562e8i 0.0385548 0.514478i −0.944177 0.329440i \(-0.893140\pi\)
0.982731 0.185038i \(-0.0592408\pi\)
\(272\) 3.33301e8 5.02371e7i 1.00426 0.151368i
\(273\) 3.07378e7 + 2.85206e7i 0.0914332 + 0.0848377i
\(274\) 1.38786e7 + 6.68357e6i 0.0407585 + 0.0196282i
\(275\) 6.96785e7 4.75060e7i 0.202039 0.137748i
\(276\) −1.78924e7 4.55891e7i −0.0512256 0.130521i
\(277\) 1.96055e8 6.04749e7i 0.554241 0.170961i −0.00496779 0.999988i \(-0.501581\pi\)
0.559209 + 0.829027i \(0.311105\pi\)
\(278\) −9.90249e7 + 9.18817e7i −0.276431 + 0.256491i
\(279\) 1.33486e8 1.67386e8i 0.367977 0.461428i
\(280\) −3.98674e6 + 4.99922e6i −0.0108534 + 0.0136097i
\(281\) 4.29249e8 3.98285e8i 1.15408 1.07083i 0.157560 0.987509i \(-0.449637\pi\)
0.996523 0.0833231i \(-0.0265533\pi\)
\(282\) −3.19468e7 + 9.85427e6i −0.0848310 + 0.0261669i
\(283\) 9.44548e7 + 2.40667e8i 0.247726 + 0.631195i 0.999605 0.0281058i \(-0.00894755\pi\)
−0.751879 + 0.659301i \(0.770852\pi\)
\(284\) −2.41321e8 + 1.64530e8i −0.625146 + 0.426217i
\(285\) 5.71287e7 + 2.75117e7i 0.146183 + 0.0703981i
\(286\) −2.10849e7 1.95639e7i −0.0532955 0.0494510i
\(287\) −3.42390e7 + 5.16069e6i −0.0854937 + 0.0128861i
\(288\) −8.70854e6 + 1.16207e8i −0.0214819 + 0.286655i
\(289\) 1.54771e8 3.94349e8i 0.377178 0.961033i
\(290\) −587367. 2.57342e6i −0.00141422 0.00619609i
\(291\) 1.60590e7 + 2.14292e8i 0.0382026 + 0.509778i
\(292\) 9.70607e7 + 2.99393e7i 0.228141 + 0.0703722i
\(293\) 7.34364e8 3.53651e8i 1.70559 0.821370i 0.712820 0.701347i \(-0.247418\pi\)
0.992771 0.120023i \(-0.0382968\pi\)
\(294\) 5.37585e7 9.31125e7i 0.123376 0.213694i
\(295\) −4.24325e7 7.34953e7i −0.0962325 0.166680i
\(296\) 1.44293e8 + 9.83770e7i 0.323387 + 0.220482i
\(297\) −2.75574e7 + 1.20737e8i −0.0610366 + 0.267419i
\(298\) −2.00382e8 3.02027e7i −0.438633 0.0661133i
\(299\) −5.09489e7 6.38880e7i −0.110227 0.138220i
\(300\) 3.29732e8 0.705077
\(301\) 4.72591e7 + 6.43644e7i 0.0998855 + 0.136039i
\(302\) −2.71819e7 −0.0567878
\(303\) −1.46709e8 1.83967e8i −0.302975 0.379918i
\(304\) 4.02773e8 + 6.07082e7i 0.822248 + 0.123934i
\(305\) 1.68223e7 7.37033e7i 0.0339497 0.148743i
\(306\) 6.49428e7 + 4.42773e7i 0.129570 + 0.0883396i
\(307\) −3.39774e8 5.88506e8i −0.670202 1.16082i −0.977847 0.209323i \(-0.932874\pi\)
0.307644 0.951502i \(-0.400459\pi\)
\(308\) −9.82361e6 + 1.70150e7i −0.0191577 + 0.0331821i
\(309\) −4.82108e7 + 2.32171e7i −0.0929587 + 0.0447665i
\(310\) −4.59463e7 1.41726e7i −0.0875961 0.0270198i
\(311\) 1.72402e7 + 2.30055e8i 0.0324999 + 0.433680i 0.989592 + 0.143898i \(0.0459638\pi\)
−0.957093 + 0.289782i \(0.906417\pi\)
\(312\) −5.28043e7 2.31351e8i −0.0984302 0.431251i
\(313\) −2.88752e8 + 7.35727e8i −0.532254 + 1.35616i 0.371629 + 0.928382i \(0.378800\pi\)
−0.903883 + 0.427780i \(0.859296\pi\)
\(314\) 1.44330e7 1.92595e8i 0.0263089 0.351068i
\(315\) 5.57336e6 840049.i 0.0100469 0.00151432i
\(316\) −5.58860e7 5.18546e7i −0.0996318 0.0924448i
\(317\) −2.00742e8 9.66721e7i −0.353940 0.170449i 0.248461 0.968642i \(-0.420075\pi\)
−0.602402 + 0.798193i \(0.705789\pi\)
\(318\) −1.71271e8 + 1.16771e8i −0.298668 + 0.203628i
\(319\) −6.25235e6 1.59307e7i −0.0107839 0.0274769i
\(320\) −4.37548e7 + 1.34966e7i −0.0746451 + 0.0230250i
\(321\) 1.18013e8 1.09500e8i 0.199142 0.184777i
\(322\) 3.83018e6 4.80290e6i 0.00639329 0.00801693i
\(323\) 6.28354e8 7.87930e8i 1.03752 1.30101i
\(324\) −2.13713e8 + 1.98296e8i −0.349078 + 0.323897i
\(325\) 5.25727e8 1.62165e8i 0.849510 0.262039i
\(326\) 6.31807e7 + 1.60982e8i 0.101000 + 0.257345i
\(327\) −2.42575e8 + 1.65385e8i −0.383644 + 0.261564i
\(328\) 1.76550e8 + 8.50221e7i 0.276255 + 0.133037i
\(329\) 2.79317e7 + 2.59169e7i 0.0432426 + 0.0401233i
\(330\) 7.12042e6 1.07323e6i 0.0109070 0.00164397i
\(331\) −8.50264e7 + 1.13460e9i −0.128871 + 1.71967i 0.440641 + 0.897684i \(0.354751\pi\)
−0.569512 + 0.821983i \(0.692868\pi\)
\(332\) −1.84097e8 + 4.69072e8i −0.276098 + 0.703487i
\(333\) −3.42543e7 1.50078e8i −0.0508348 0.222722i
\(334\) −2.37815e7 3.17343e8i −0.0349243 0.466032i
\(335\) −1.34984e8 4.16372e7i −0.196167 0.0605096i
\(336\) −6.07559e7 + 2.92585e7i −0.0873778 + 0.0420789i
\(337\) 2.66128e8 4.60948e8i 0.378780 0.656066i −0.612105 0.790776i \(-0.709677\pi\)
0.990885 + 0.134711i \(0.0430105\pi\)
\(338\) 1.79444e7 + 3.10806e7i 0.0252767 + 0.0437805i
\(339\) −6.16608e8 4.20396e8i −0.859627 0.586084i
\(340\) −3.56909e7 + 1.56372e8i −0.0492472 + 0.215766i
\(341\) −3.08259e8 4.64626e7i −0.420993 0.0634545i
\(342\) 5.92213e7 + 7.42612e7i 0.0800547 + 0.100385i
\(343\) −2.48673e8 −0.332735
\(344\) −1.57868e7 4.51622e8i −0.0209093 0.598165i
\(345\) 2.04575e7 0.0268217
\(346\) 3.28852e7 + 4.12367e7i 0.0426809 + 0.0535202i
\(347\) 9.36838e7 + 1.41206e7i 0.120368 + 0.0181426i 0.208950 0.977926i \(-0.432995\pi\)
−0.0885819 + 0.996069i \(0.528234\pi\)
\(348\) 1.48896e7 6.52356e7i 0.0189390 0.0829770i
\(349\) 7.92195e8 + 5.40109e8i 0.997569 + 0.680131i 0.947878 0.318633i \(-0.103224\pi\)
0.0496912 + 0.998765i \(0.484176\pi\)
\(350\) 2.06800e7 + 3.58189e7i 0.0257818 + 0.0446554i
\(351\) −4.03962e8 + 6.99683e8i −0.498615 + 0.863627i
\(352\) 1.52879e8 7.36227e7i 0.186831 0.0899730i
\(353\) 7.57114e8 + 2.33539e8i 0.916115 + 0.282584i 0.716741 0.697339i \(-0.245633\pi\)
0.199374 + 0.979923i \(0.436109\pi\)
\(354\) 1.76937e7 + 2.36106e8i 0.0211986 + 0.282876i
\(355\) −2.71483e7 1.18945e8i −0.0322065 0.141106i
\(356\) −1.24571e8 + 3.17401e8i −0.146333 + 0.372849i
\(357\) −1.24684e7 + 1.66379e8i −0.0145035 + 0.193536i
\(358\) −1.60829e7 + 2.42410e6i −0.0185256 + 0.00279229i
\(359\) −8.10093e8 7.51656e8i −0.924069 0.857410i 0.0660251 0.997818i \(-0.478968\pi\)
−0.990094 + 0.140408i \(0.955159\pi\)
\(360\) −2.87386e7 1.38398e7i −0.0324643 0.0156340i
\(361\) 2.67693e8 1.82510e8i 0.299476 0.204179i
\(362\) 1.83116e8 + 4.66573e8i 0.202884 + 0.516939i
\(363\) −6.57831e8 + 2.02914e8i −0.721840 + 0.222658i
\(364\) −9.39592e7 + 8.71814e7i −0.102114 + 0.0947477i
\(365\) −2.64540e7 + 3.31723e7i −0.0284752 + 0.0357067i
\(366\) −1.31504e8 + 1.64900e8i −0.140202 + 0.175808i
\(367\) −2.07797e8 + 1.92807e8i −0.219436 + 0.203607i −0.782229 0.622991i \(-0.785917\pi\)
0.562793 + 0.826598i \(0.309727\pi\)
\(368\) 1.25577e8 3.87354e7i 0.131354 0.0405173i
\(369\) −6.31049e7 1.60789e8i −0.0653839 0.166596i
\(370\) −2.85649e7 + 1.94752e7i −0.0293174 + 0.0199883i
\(371\) 2.12857e8 + 1.02507e8i 0.216411 + 0.104218i
\(372\) −8.93503e8 8.29049e8i −0.899903 0.834988i
\(373\) −1.20044e9 + 1.80938e8i −1.19774 + 0.180530i −0.717468 0.696592i \(-0.754699\pi\)
−0.480269 + 0.877121i \(0.659461\pi\)
\(374\) 8.55282e6 1.14129e8i 0.00845393 0.112810i
\(375\) −1.02180e8 + 2.60351e8i −0.100059 + 0.254947i
\(376\) −4.79837e7 2.10230e8i −0.0465518 0.203957i
\(377\) −8.34341e6 1.11335e8i −0.00801953 0.107013i
\(378\) −5.80388e7 1.79026e7i −0.0552710 0.0170488i
\(379\) −1.23622e9 + 5.95333e8i −1.16643 + 0.561723i −0.913929 0.405873i \(-0.866967\pi\)
−0.252501 + 0.967597i \(0.581253\pi\)
\(380\) −9.69126e7 + 1.67858e8i −0.0906020 + 0.156927i
\(381\) 3.18596e7 + 5.51824e7i 0.0295123 + 0.0511168i
\(382\) −4.53366e8 3.09099e8i −0.416128 0.283711i
\(383\) 2.84533e8 1.24662e9i 0.258784 1.13381i −0.663769 0.747937i \(-0.731044\pi\)
0.922553 0.385869i \(-0.126099\pi\)
\(384\) 8.54560e8 + 1.28804e8i 0.770164 + 0.116084i
\(385\) −5.11697e6 6.41648e6i −0.00456983 0.00573039i
\(386\) 1.02041e8 0.0903069
\(387\) −2.60570e8 + 3.01286e8i −0.228526 + 0.264235i
\(388\) −6.56884e8 −0.570923
\(389\) −7.04350e8 8.83227e8i −0.606688 0.760762i 0.379716 0.925103i \(-0.376022\pi\)
−0.986404 + 0.164341i \(0.947450\pi\)
\(390\) 4.64525e7 + 7.00158e6i 0.0396536 + 0.00597682i
\(391\) 7.23525e7 3.16997e8i 0.0612118 0.268186i
\(392\) 5.72985e8 + 3.90654e8i 0.480443 + 0.327560i
\(393\) 5.01571e8 + 8.68746e8i 0.416830 + 0.721970i
\(394\) −9.75443e7 + 1.68952e8i −0.0803461 + 0.139164i
\(395\) 2.86920e7 1.38173e7i 0.0234245 0.0112806i
\(396\) −9.36551e7 2.88888e7i −0.0757876 0.0233774i
\(397\) 9.36157e7 + 1.24921e9i 0.0750900 + 1.00201i 0.899758 + 0.436389i \(0.143743\pi\)
−0.824668 + 0.565617i \(0.808638\pi\)
\(398\) 9.74158e7 + 4.26807e8i 0.0774531 + 0.339344i
\(399\) −7.36609e7 + 1.87685e8i −0.0580540 + 0.147919i
\(400\) −6.61199e7 + 8.82309e8i −0.0516562 + 0.689304i
\(401\) 2.07718e9 3.13084e8i 1.60868 0.242469i 0.717644 0.696410i \(-0.245221\pi\)
0.891031 + 0.453942i \(0.149983\pi\)
\(402\) 2.88901e8 + 2.68061e8i 0.221798 + 0.205798i
\(403\) −1.83234e9 8.82410e8i −1.39457 0.671588i
\(404\) 5.94289e8 4.05179e8i 0.448397 0.305712i
\(405\) −4.44914e7 1.13362e8i −0.0332800 0.0847961i
\(406\) 8.02041e6 2.47397e6i 0.00594779 0.00183465i
\(407\) −1.64311e8 + 1.52459e8i −0.120806 + 0.112091i
\(408\) 5.88715e8 7.38225e8i 0.429135 0.538119i
\(409\) 3.94593e8 4.94804e8i 0.285179 0.357604i −0.618522 0.785768i \(-0.712268\pi\)
0.903701 + 0.428164i \(0.140840\pi\)
\(410\) −2.84368e7 + 2.63855e7i −0.0203769 + 0.0189070i
\(411\) −1.55867e8 + 4.80787e7i −0.110741 + 0.0341591i
\(412\) −5.97584e7 1.52262e8i −0.0420977 0.107263i
\(413\) 2.22961e8 1.52012e8i 0.155741 0.106183i
\(414\) 2.76100e7 + 1.32963e7i 0.0191234 + 0.00920935i
\(415\) −1.54300e8 1.43169e8i −0.105974 0.0983290i
\(416\) 1.09462e9 1.64987e8i 0.745481 0.112363i
\(417\) 1.06896e8 1.42643e9i 0.0721914 0.963327i
\(418\) 5.05284e7 1.28744e8i 0.0338391 0.0862205i
\(419\) 2.94436e8 + 1.29001e9i 0.195543 + 0.856730i 0.973550 + 0.228474i \(0.0733737\pi\)
−0.778007 + 0.628256i \(0.783769\pi\)
\(420\) −2.39799e6 3.19989e7i −0.00157933 0.0210748i
\(421\) 2.27327e9 + 7.01211e8i 1.48478 + 0.457995i 0.927974 0.372644i \(-0.121549\pi\)
0.556810 + 0.830640i \(0.312025\pi\)
\(422\) 1.70817e8 8.22610e7i 0.110646 0.0532844i
\(423\) −9.50385e7 + 1.64611e8i −0.0610532 + 0.105747i
\(424\) −6.68511e8 1.15789e9i −0.425920 0.737715i
\(425\) 1.80875e9 + 1.23319e9i 1.14292 + 0.779233i
\(426\) −7.57421e7 + 3.31848e8i −0.0474683 + 0.207972i
\(427\) 2.37701e8 + 3.58276e7i 0.147752 + 0.0222700i
\(428\) 3.06825e8 + 3.84746e8i 0.189163 + 0.237203i
\(429\) 3.04574e8 0.186248
\(430\) 8.43669e7 + 2.97542e7i 0.0511720 + 0.0180472i
\(431\) −4.07943e8 −0.245431 −0.122715 0.992442i \(-0.539160\pi\)
−0.122715 + 0.992442i \(0.539160\pi\)
\(432\) −8.10103e8 1.01584e9i −0.483445 0.606221i
\(433\) 2.09620e9 + 3.15951e8i 1.24087 + 0.187030i 0.736487 0.676452i \(-0.236483\pi\)
0.504379 + 0.863482i \(0.331721\pi\)
\(434\) 3.40214e7 1.49058e8i 0.0199774 0.0875266i
\(435\) 2.30941e7 + 1.57453e7i 0.0134520 + 0.00917144i
\(436\) −4.48720e8 7.77206e8i −0.259282 0.449090i
\(437\) 1.96461e8 3.40280e8i 0.112614 0.195053i
\(438\) 1.06651e8 5.13605e7i 0.0606466 0.0292059i
\(439\) −1.20616e9 3.72051e8i −0.680423 0.209883i −0.0647702 0.997900i \(-0.520631\pi\)
−0.615653 + 0.788017i \(0.711108\pi\)
\(440\) 3.47088e6 + 4.63156e7i 0.00194247 + 0.0259205i
\(441\) −1.36024e8 5.95959e8i −0.0755231 0.330888i
\(442\) 2.72782e8 6.95037e8i 0.150258 0.382851i
\(443\) −1.25819e7 + 1.67894e8i −0.00687596 + 0.0917533i −0.999586 0.0287743i \(-0.990840\pi\)
0.992710 + 0.120528i \(0.0384586\pi\)
\(444\) −8.66607e8 + 1.30620e8i −0.469875 + 0.0708222i
\(445\) −1.04408e8 9.68767e7i −0.0561661 0.0521146i
\(446\) 3.61005e8 + 1.73851e8i 0.192682 + 0.0927907i
\(447\) 1.77296e9 1.20878e9i 0.938905 0.640135i
\(448\) −5.31931e7 1.35534e8i −0.0279500 0.0712155i
\(449\) −4.21163e8 + 1.29911e8i −0.219577 + 0.0677307i −0.402592 0.915380i \(-0.631891\pi\)
0.183015 + 0.983110i \(0.441414\pi\)
\(450\) −1.51245e8 + 1.40335e8i −0.0782417 + 0.0725977i
\(451\) −1.56813e8 + 1.96637e8i −0.0804942 + 0.100937i
\(452\) 1.42232e9 1.78354e9i 0.724459 0.908443i
\(453\) 2.10994e8 1.95774e8i 0.106642 0.0989489i
\(454\) −8.72533e8 + 2.69141e8i −0.437609 + 0.134985i
\(455\) −1.95607e7 4.98400e7i −0.00973521 0.0248049i
\(456\) 9.42767e8 6.42768e8i 0.465615 0.317451i
\(457\) −1.13187e9 5.45080e8i −0.554741 0.267149i 0.135441 0.990785i \(-0.456755\pi\)
−0.690181 + 0.723636i \(0.742469\pi\)
\(458\) 1.00996e8 + 9.37105e7i 0.0491218 + 0.0455784i
\(459\) −3.17884e9 + 4.79134e8i −1.53435 + 0.231266i
\(460\) −4.67319e6 + 6.23594e7i −0.00223852 + 0.0298710i
\(461\) −2.10795e8 + 5.37097e8i −0.100209 + 0.255329i −0.972183 0.234225i \(-0.924745\pi\)
0.871973 + 0.489553i \(0.162840\pi\)
\(462\) 5.09505e6 + 2.23229e7i 0.00240382 + 0.0105318i
\(463\) 2.62481e7 + 3.50257e8i 0.0122904 + 0.164004i 0.999972 + 0.00752483i \(0.00239525\pi\)
−0.987681 + 0.156479i \(0.949986\pi\)
\(464\) 1.71574e8 + 5.29237e7i 0.0797332 + 0.0245944i
\(465\) 4.58726e8 2.20911e8i 0.211577 0.101890i
\(466\) −2.40306e8 + 4.16222e8i −0.110005 + 0.190535i
\(467\) 7.29689e8 + 1.26386e9i 0.331535 + 0.574235i 0.982813 0.184604i \(-0.0591003\pi\)
−0.651278 + 0.758839i \(0.725767\pi\)
\(468\) −5.28295e8 3.60185e8i −0.238241 0.162430i
\(469\) 9.99505e7 4.37912e8i 0.0447383 0.196011i
\(470\) 4.22117e7 + 6.36239e6i 0.0187539 + 0.00282669i
\(471\) 1.27511e9 + 1.59893e9i 0.562307 + 0.705111i
\(472\) −1.52716e9 −0.668477
\(473\) 5.69631e8 + 1.09231e8i 0.247503 + 0.0474606i
\(474\) −8.88474e7 −0.0383196
\(475\) 1.64940e9 + 2.06828e9i 0.706152 + 0.885487i
\(476\) −5.04317e8 7.60135e7i −0.214328 0.0323048i
\(477\) −2.62250e8 + 1.14899e9i −0.110637 + 0.484733i
\(478\) −5.31226e7 3.62184e7i −0.0222475 0.0151681i
\(479\) 4.56155e8 + 7.90084e8i 0.189644 + 0.328472i 0.945131 0.326690i \(-0.105933\pi\)
−0.755488 + 0.655163i \(0.772600\pi\)
\(480\) −1.38566e8 + 2.40004e8i −0.0571892 + 0.0990545i
\(481\) −1.31749e9 + 6.34468e8i −0.539807 + 0.259957i
\(482\) −1.00100e9 3.08768e8i −0.407165 0.125594i
\(483\) 4.86119e6 + 6.48680e7i 0.00196303 + 0.0261948i
\(484\) −4.68260e8 2.05158e9i −0.187728 0.822489i
\(485\) 1.00247e8 2.55424e8i 0.0399000 0.101664i
\(486\) 3.94221e7 5.26052e8i 0.0155781 0.207875i
\(487\) −2.44364e9 + 3.68319e8i −0.958706 + 0.144502i −0.609712 0.792623i \(-0.708715\pi\)
−0.348994 + 0.937125i \(0.613477\pi\)
\(488\) −9.97248e8 9.25311e8i −0.388449 0.360428i
\(489\) −1.64988e9 7.94539e8i −0.638074 0.307280i
\(490\) −1.13431e8 + 7.73358e7i −0.0435557 + 0.0296958i
\(491\) 1.55904e9 + 3.97237e9i 0.594391 + 1.51448i 0.838593 + 0.544759i \(0.183379\pi\)
−0.244201 + 0.969725i \(0.578526\pi\)
\(492\) −9.39689e8 + 2.89856e8i −0.355718 + 0.109725i
\(493\) 3.25657e8 3.02165e8i 0.122404 0.113574i
\(494\) 5.62561e8 7.05429e8i 0.209955 0.263275i
\(495\) 2.55258e7 3.20083e7i 0.00945934 0.0118616i
\(496\) 2.39757e9 2.22462e9i 0.882239 0.818598i
\(497\) 3.70707e8 1.14348e8i 0.135451 0.0417812i
\(498\) 2.14548e8 + 5.46658e8i 0.0778432 + 0.198341i
\(499\) −1.80635e9 + 1.23155e9i −0.650803 + 0.443710i −0.843195 0.537608i \(-0.819328\pi\)
0.192392 + 0.981318i \(0.438376\pi\)
\(500\) −7.70272e8 3.70944e8i −0.275581 0.132713i
\(501\) 2.47022e9 + 2.29203e9i 0.877614 + 0.814307i
\(502\) −1.60490e9 + 2.41900e8i −0.566219 + 0.0853438i
\(503\) 1.76007e8 2.34865e9i 0.0616655 0.822869i −0.877538 0.479507i \(-0.840815\pi\)
0.939203 0.343361i \(-0.111566\pi\)
\(504\) 3.70551e7 9.44149e7i 0.0128926 0.0328499i
\(505\) 6.68567e7 + 2.92918e8i 0.0231007 + 0.101211i
\(506\) −3.33457e6 4.44968e7i −0.00114423 0.0152687i
\(507\) −3.63144e8 1.12015e8i −0.123752 0.0381723i
\(508\) −1.75487e8 + 8.45103e7i −0.0593913 + 0.0286013i
\(509\) 4.64237e8 8.04082e8i 0.156037 0.270264i −0.777399 0.629008i \(-0.783461\pi\)
0.933436 + 0.358744i \(0.116795\pi\)
\(510\) 9.34617e7 + 1.61880e8i 0.0311988 + 0.0540379i
\(511\) −1.11471e8 7.59996e7i −0.0369563 0.0251964i
\(512\) −6.84295e8 + 2.99809e9i −0.225319 + 0.987189i
\(513\) −3.84143e9 5.79002e8i −1.25627 0.189352i
\(514\) −1.18426e9 1.48501e9i −0.384658 0.482346i
\(515\) 6.83255e7 0.0220423
\(516\) 1.59962e9 + 1.60751e9i 0.512559 + 0.515085i
\(517\) 2.76769e8 0.0880847
\(518\) −6.85409e7 8.59476e7i −0.0216669 0.0271694i
\(519\) −5.52267e8 8.32409e7i −0.173406 0.0261367i
\(520\) −6.74245e7 + 2.95406e8i −0.0210284 + 0.0921314i
\(521\) 1.95765e9 + 1.33470e9i 0.606461 + 0.413478i 0.827242 0.561845i \(-0.189908\pi\)
−0.220781 + 0.975323i \(0.570861\pi\)
\(522\) 2.09348e7 + 3.62602e7i 0.00644202 + 0.0111579i
\(523\) 1.00270e9 1.73673e9i 0.306490 0.530856i −0.671102 0.741365i \(-0.734179\pi\)
0.977592 + 0.210509i \(0.0675121\pi\)
\(524\) −2.76273e9 + 1.33046e9i −0.838839 + 0.403963i
\(525\) −4.18506e8 1.29092e8i −0.126225 0.0389351i
\(526\) −1.21923e8 1.62695e9i −0.0365289 0.487445i
\(527\) −1.80071e9 7.88944e9i −0.535929 2.34806i
\(528\) −1.78950e8 + 4.55957e8i −0.0529070 + 0.134805i
\(529\) −2.44969e8 + 3.26889e9i −0.0719477 + 0.960076i
\(530\) 2.61727e8 3.94490e7i 0.0763630 0.0115099i
\(531\) 9.86789e8 + 9.15607e8i 0.286018 + 0.265386i
\(532\) −5.55283e8 2.67410e8i −0.159891 0.0769994i
\(533\) −1.35569e9 + 9.24297e8i −0.387808 + 0.264403i
\(534\) 1.45175e8 + 3.69900e8i 0.0412570 + 0.105121i
\(535\) −1.96430e8 + 6.05905e7i −0.0554586 + 0.0171067i
\(536\) −1.86341e9 + 1.72899e9i −0.522675 + 0.484972i
\(537\) 1.07381e8 1.34652e8i 0.0299239 0.0375233i
\(538\) 1.54844e8 1.94168e8i 0.0428702 0.0537575i
\(539\) −6.52479e8 + 6.05412e8i −0.179476 + 0.166529i
\(540\) 5.90808e8 1.82240e8i 0.161461 0.0498042i
\(541\) 5.59672e8 + 1.42602e9i 0.151965 + 0.387200i 0.986501 0.163752i \(-0.0523598\pi\)
−0.834537 + 0.550952i \(0.814265\pi\)
\(542\) 4.97534e8 3.39213e8i 0.134223 0.0915114i
\(543\) −4.78183e9 2.30281e9i −1.28173 0.617247i
\(544\) 3.22889e9 + 2.99597e9i 0.859918 + 0.797887i
\(545\) 3.70689e8 5.58724e7i 0.0980894 0.0147846i
\(546\) −1.11629e7 + 1.48958e8i −0.00293496 + 0.0391643i
\(547\) −1.64422e9 + 4.18941e9i −0.429541 + 1.09445i 0.538270 + 0.842773i \(0.319078\pi\)
−0.967811 + 0.251679i \(0.919017\pi\)
\(548\) −1.10950e8 4.86104e8i −0.0288002 0.126182i
\(549\) 8.96129e7 + 1.19580e9i 0.0231136 + 0.308429i
\(550\) 2.87078e8 + 8.85517e7i 0.0735749 + 0.0226949i
\(551\) 4.83680e8 2.32928e8i 0.123176 0.0593186i
\(552\) 1.84067e8 3.18814e8i 0.0465790 0.0806771i
\(553\) 5.06308e7 + 8.76951e7i 0.0127314 + 0.0220515i
\(554\) 6.03895e8 + 4.11729e8i 0.150896 + 0.102879i
\(555\) 8.14617e7 3.56907e8i 0.0202268 0.0886196i
\(556\) 4.32368e9 + 6.51690e8i 1.06682 + 0.160798i
\(557\) 6.89273e7 + 8.64320e7i 0.0169004 + 0.0211925i 0.790210 0.612836i \(-0.209971\pi\)
−0.773309 + 0.634029i \(0.781400\pi\)
\(558\) 7.62689e8 0.185835
\(559\) 3.34104e9 + 1.77631e9i 0.808984 + 0.430108i
\(560\) 8.61047e7 0.0207190
\(561\) 7.55613e8 + 9.47509e8i 0.180688 + 0.226576i
\(562\) 2.06271e9 + 3.10904e8i 0.490187 + 0.0738838i
\(563\) 1.23535e9 5.41241e9i 0.291749 1.27824i −0.590341 0.807154i \(-0.701007\pi\)
0.882090 0.471082i \(-0.156136\pi\)
\(564\) 8.94109e8 + 6.09593e8i 0.209852 + 0.143075i
\(565\) 4.76455e8 + 8.25244e8i 0.111135 + 0.192492i
\(566\) −4.60509e8 + 7.97624e8i −0.106753 + 0.184902i
\(567\) 3.48885e8 1.68014e8i 0.0803787 0.0387083i
\(568\) −2.09793e9 6.47125e8i −0.480365 0.148173i
\(569\) −2.29684e8 3.06493e9i −0.0522683 0.697473i −0.960371 0.278725i \(-0.910088\pi\)
0.908103 0.418748i \(-0.137531\pi\)
\(570\) 5.02641e7 + 2.20221e8i 0.0113683 + 0.0498078i
\(571\) 1.31510e9 3.35082e9i 0.295619 0.753225i −0.703477 0.710718i \(-0.748370\pi\)
0.999096 0.0425071i \(-0.0135345\pi\)
\(572\) −6.95752e7 + 9.28417e8i −0.0155442 + 0.207423i
\(573\) 5.74541e9 8.65982e8i 1.27579 0.192295i
\(574\) −9.04223e7 8.38996e7i −0.0199565 0.0185169i
\(575\) 7.68979e8 + 3.70321e8i 0.168685 + 0.0812345i
\(576\) 6.00107e8 4.09146e8i 0.130843 0.0892071i
\(577\) −2.40566e9 6.12952e9i −0.521338 1.32835i −0.912896 0.408193i \(-0.866159\pi\)
0.391558 0.920154i \(-0.371936\pi\)
\(578\) 1.44210e9 4.44830e8i 0.310634 0.0958178i
\(579\) −7.92078e8 + 7.34941e8i −0.169587 + 0.157354i
\(580\) −5.32709e7 + 6.67996e7i −0.0113368 + 0.0142159i
\(581\) 4.17306e8 5.23285e8i 0.0882751 0.110693i
\(582\) −5.61177e8 + 5.20696e8i −0.117997 + 0.109485i
\(583\) 1.63982e9 5.05818e8i 0.342734 0.105719i
\(584\) 2.78942e8 + 7.10734e8i 0.0579522 + 0.147660i
\(585\) 2.20678e8 1.50456e8i 0.0455736 0.0310715i
\(586\) 2.61610e9 + 1.25985e9i 0.537047 + 0.258628i
\(587\) −3.83789e9 3.56105e9i −0.783177 0.726682i 0.183406 0.983037i \(-0.441288\pi\)
−0.966583 + 0.256356i \(0.917478\pi\)
\(588\) −3.44129e9 + 5.18691e8i −0.698073 + 0.105218i
\(589\) 7.30790e8 9.75171e9i 0.147363 1.96643i
\(590\) 1.10451e8 2.81425e8i 0.0221405 0.0564131i
\(591\) −4.59684e8 2.01401e9i −0.0916015 0.401333i
\(592\) −1.75741e8 2.34509e9i −0.0348134 0.464552i
\(593\) −4.01872e8 1.23961e8i −0.0791400 0.0244115i 0.254932 0.966959i \(-0.417947\pi\)
−0.334072 + 0.942547i \(0.608423\pi\)
\(594\) −3.97484e8 + 1.91418e8i −0.0778156 + 0.0374740i
\(595\) 1.06521e8 1.84499e8i 0.0207312 0.0359075i
\(596\) 3.27965e9 + 5.68053e9i 0.634551 + 1.09907i
\(597\) −3.83019e9 2.61138e9i −0.736734 0.502296i
\(598\) 6.47767e7 2.83805e8i 0.0123870 0.0542708i
\(599\) 9.64563e9 + 1.45384e9i 1.83374 + 0.276391i 0.972685 0.232129i \(-0.0745690\pi\)
0.861050 + 0.508520i \(0.169807\pi\)
\(600\) 1.54535e9 + 1.93781e9i 0.292077 + 0.366253i
\(601\) −2.70574e9 −0.508424 −0.254212 0.967149i \(-0.581816\pi\)
−0.254212 + 0.967149i \(0.581816\pi\)
\(602\) −7.42992e7 + 2.74587e8i −0.0138802 + 0.0512970i
\(603\) 2.24068e9 0.416169
\(604\) 5.48568e8 + 6.87883e8i 0.101298 + 0.127024i
\(605\) 8.69202e8 + 1.31011e8i 0.159579 + 0.0240527i
\(606\) 1.86526e8 8.17224e8i 0.0340475 0.149172i
\(607\) 2.92523e9 + 1.99439e9i 0.530884 + 0.361951i 0.798900 0.601464i \(-0.205416\pi\)
−0.268016 + 0.963415i \(0.586368\pi\)
\(608\) 2.66141e9 + 4.60970e9i 0.480230 + 0.831782i
\(609\) −4.44385e7 + 7.69697e7i −0.00797258 + 0.0138089i
\(610\) 2.42642e8 1.16850e8i 0.0432825 0.0208437i
\(611\) 1.72538e9 + 5.32209e8i 0.306013 + 0.0943926i
\(612\) −1.90127e8 2.53706e9i −0.0335284 0.447406i
\(613\) 6.21695e8 + 2.72383e9i 0.109010 + 0.477604i 0.999734 + 0.0230594i \(0.00734069\pi\)
−0.890724 + 0.454544i \(0.849802\pi\)
\(614\) 8.84425e8 2.25348e9i 0.154196 0.392884i
\(615\) 3.06972e7 4.09625e8i 0.00532152 0.0710107i
\(616\) −1.46036e8 + 2.20114e7i −0.0251726 + 0.00379415i
\(617\) −7.80307e9 7.24019e9i −1.33742 1.24094i −0.947366 0.320151i \(-0.896266\pi\)
−0.390053 0.920793i \(-0.627543\pi\)
\(618\) −1.71746e8 8.27085e7i −0.0292703 0.0140958i
\(619\) 3.93126e9 2.68029e9i 0.666216 0.454218i −0.182403 0.983224i \(-0.558387\pi\)
0.848618 + 0.529006i \(0.177435\pi\)
\(620\) 5.68601e8 + 1.44877e9i 0.0958157 + 0.244134i
\(621\) −1.19768e9 + 3.69437e8i −0.200688 + 0.0619041i
\(622\) −6.02454e8 + 5.58996e8i −0.100382 + 0.0931413i
\(623\) 2.82373e8 3.54085e8i 0.0467860 0.0586677i
\(624\) −1.99235e9 + 2.49833e9i −0.328262 + 0.411627i
\(625\) −4.07954e9 + 3.78526e9i −0.668391 + 0.620177i
\(626\) −2.69049e9 + 8.29907e8i −0.438351 + 0.135213i
\(627\) 5.35047e8 + 1.36328e9i 0.0866873 + 0.220876i
\(628\) −5.16522e9 + 3.52159e9i −0.832204 + 0.567387i
\(629\) −5.24231e9 2.52456e9i −0.839935 0.404491i
\(630\) 1.47188e7 + 1.36571e7i 0.00234520 + 0.00217603i
\(631\) 7.11639e8 1.07262e8i 0.112760 0.0169959i −0.0924196 0.995720i \(-0.529460\pi\)
0.205180 + 0.978724i \(0.434222\pi\)
\(632\) 4.28253e7 5.71464e8i 0.00674824 0.0900490i
\(633\) −7.33458e8 + 1.86882e9i −0.114938 + 0.292856i
\(634\) −1.76620e8 7.73824e8i −0.0275251 0.120595i
\(635\) −6.08014e6 8.11339e7i −0.000942336 0.0125746i
\(636\) 6.41157e9 + 1.97771e9i 0.988244 + 0.304833i
\(637\) −5.23173e9 + 2.51947e9i −0.801968 + 0.386207i
\(638\) 3.04830e7 5.27981e7i 0.00464713 0.00804907i
\(639\) 9.67616e8 + 1.67596e9i 0.146707 + 0.254104i
\(640\) −9.11746e8 6.21618e8i −0.137481 0.0937333i
\(641\) −2.22716e9 + 9.75783e9i −0.334002 + 1.46336i 0.477306 + 0.878737i \(0.341613\pi\)
−0.811308 + 0.584620i \(0.801244\pi\)
\(642\) 5.67100e8 + 8.54765e7i 0.0845837 + 0.0127489i
\(643\) 7.23150e9 + 9.06801e9i 1.07273 + 1.34516i 0.934983 + 0.354691i \(0.115414\pi\)
0.137745 + 0.990468i \(0.456015\pi\)
\(644\) −1.98844e8 −0.0293368
\(645\) −8.69183e8 + 3.76680e8i −0.127542 + 0.0552730i
\(646\) 3.59019e9 0.523966
\(647\) −4.98692e9 6.25340e9i −0.723881 0.907718i 0.274670 0.961539i \(-0.411431\pi\)
−0.998551 + 0.0538207i \(0.982860\pi\)
\(648\) −2.16697e9 3.26619e8i −0.312854 0.0471551i
\(649\) 4.36163e8 1.91095e9i 0.0626314 0.274406i
\(650\) 1.61936e9 + 1.10406e9i 0.231285 + 0.157688i
\(651\) 8.09483e8 + 1.40207e9i 0.114994 + 0.199175i
\(652\) 2.79884e9 4.84773e9i 0.395468 0.684971i
\(653\) −1.01773e10 + 4.90114e9i −1.43033 + 0.688812i −0.979060 0.203573i \(-0.934744\pi\)
−0.451274 + 0.892386i \(0.649030\pi\)
\(654\) −9.99415e8 3.08279e8i −0.139709 0.0430945i
\(655\) −9.57207e7 1.27730e9i −0.0133095 0.177603i
\(656\) −5.87175e8 2.57258e9i −0.0812090 0.355800i
\(657\) 2.45879e8 6.26489e8i 0.0338253 0.0861856i
\(658\) −1.01438e7 + 1.35360e8i −0.00138807 + 0.0185225i
\(659\) −1.21258e10 + 1.82767e9i −1.65049 + 0.248771i −0.907352 0.420372i \(-0.861900\pi\)
−0.743134 + 0.669143i \(0.766662\pi\)
\(660\) −1.70860e8 1.58535e8i −0.0231332 0.0214645i
\(661\) 5.05330e8 + 2.43354e8i 0.0680566 + 0.0327743i 0.467602 0.883939i \(-0.345118\pi\)
−0.399546 + 0.916713i \(0.630832\pi\)
\(662\) −3.34893e9 + 2.28326e9i −0.448645 + 0.305881i
\(663\) 2.88850e9 + 7.35977e9i 0.384923 + 0.980769i
\(664\) −3.61950e9 + 1.11647e9i −0.479800 + 0.147999i
\(665\) 1.88722e8 1.75108e8i 0.0248855 0.0230903i
\(666\) 3.41914e8 4.28746e8i 0.0448494 0.0562394i
\(667\) 1.07991e8 1.35416e8i 0.0140911 0.0176697i
\(668\) −7.55095e9 + 7.00625e9i −0.980130 + 0.909428i
\(669\) −4.05437e9 + 1.25061e9i −0.523518 + 0.161484i
\(670\) −1.83849e8 4.68439e8i −0.0236156 0.0601715i
\(671\) 1.44268e9 9.83600e8i 0.184349 0.125687i
\(672\) −7.93948e8 3.82345e8i −0.100925 0.0486030i
\(673\) 7.23514e8 + 6.71323e8i 0.0914944 + 0.0848944i 0.724594 0.689176i \(-0.242027\pi\)
−0.633100 + 0.774070i \(0.718218\pi\)
\(674\) 1.87493e9 2.82601e8i 0.235872 0.0355519i
\(675\) 6.30616e8 8.41498e9i 0.0789226 1.05315i
\(676\) 4.24404e8 1.08136e9i 0.0528404 0.134635i
\(677\) −1.27426e9 5.58289e9i −0.157833 0.691510i −0.990474 0.137698i \(-0.956030\pi\)
0.832642 0.553812i \(-0.186827\pi\)
\(678\) −1.98674e8 2.65112e9i −0.0244815 0.326682i
\(679\) 8.33737e8 + 2.57174e8i 0.102208 + 0.0315270i
\(680\) −1.08626e9 + 5.23115e8i −0.132481 + 0.0637993i
\(681\) 4.83442e9 8.37346e9i 0.586583 1.01599i
\(682\) −5.55272e8 9.61760e8i −0.0670287 0.116097i
\(683\) −1.52972e9 1.04295e9i −0.183713 0.125253i 0.467972 0.883744i \(-0.344985\pi\)
−0.651684 + 0.758490i \(0.725937\pi\)
\(684\) 6.84135e8 2.99739e9i 0.0817420 0.358135i
\(685\) 2.05950e8 + 3.10419e7i 0.0244819 + 0.00369005i
\(686\) −5.52331e8 6.92601e8i −0.0653228 0.0819122i
\(687\) −1.45890e9 −0.171663
\(688\) −4.62220e9 + 3.95798e9i −0.541114 + 0.463356i
\(689\) 1.11953e10 1.30397
\(690\) 4.54385e7 + 5.69781e7i 0.00526565 + 0.00660292i
\(691\) 1.32057e10 + 1.99044e9i 1.52261 + 0.229496i 0.856416 0.516286i \(-0.172686\pi\)
0.666190 + 0.745782i \(0.267924\pi\)
\(692\) 3.79895e8 1.66443e9i 0.0435805 0.190939i
\(693\) 1.07560e8 + 7.33330e7i 0.0122768 + 0.00837015i
\(694\) 1.68754e8 + 2.92291e8i 0.0191645 + 0.0331938i
\(695\) −9.13238e8 + 1.58178e9i −0.103190 + 0.178730i
\(696\) 4.53168e8 2.18234e8i 0.0509479 0.0245352i
\(697\) −6.23874e9 1.92440e9i −0.697882 0.215268i
\(698\) 2.55249e8 + 3.40606e9i 0.0284099 + 0.379104i
\(699\) −1.13246e9 4.96161e9i −0.125415 0.549481i
\(700\) 4.89105e8 1.24622e9i 0.0538963 0.137325i
\(701\) −9.62914e8 + 1.28492e10i −0.105578 + 1.40884i 0.653047 + 0.757317i \(0.273490\pi\)
−0.758626 + 0.651527i \(0.774129\pi\)
\(702\) −2.84600e9 + 4.28965e8i −0.310495 + 0.0467996i
\(703\) −5.15432e9 4.78251e9i −0.559535 0.519173i
\(704\) −9.52842e8 4.58864e8i −0.102924 0.0495656i
\(705\) −3.73485e8 + 2.54638e8i −0.0401431 + 0.0273691i
\(706\) 1.03119e9 + 2.62743e9i 0.110286 + 0.281005i
\(707\) −9.12919e8 + 2.81598e8i −0.0971548 + 0.0299683i
\(708\) 5.61798e9 5.21272e9i 0.594927 0.552011i
\(709\) −3.09478e9 + 3.88073e9i −0.326113 + 0.408933i −0.917678 0.397324i \(-0.869939\pi\)
0.591565 + 0.806257i \(0.298510\pi\)
\(710\) 2.70984e8 3.39804e8i 0.0284145 0.0356306i
\(711\) −3.70293e8 + 3.43582e8i −0.0386369 + 0.0358498i
\(712\) −2.44916e9 + 7.55467e8i −0.254295 + 0.0784397i
\(713\) −1.15267e9 2.93694e9i −0.119094 0.303447i
\(714\) −4.91093e8 + 3.34821e8i −0.0504917 + 0.0344246i
\(715\) −3.50390e8 1.68739e8i −0.0358492 0.0172641i
\(716\) 3.85921e8 + 3.58083e8i 0.0392919 + 0.0364576i
\(717\) 6.73213e8 1.01470e8i 0.0682080 0.0102807i
\(718\) 2.94197e8 3.92578e9i 0.0296621 0.395814i
\(719\) 1.65771e9 4.22379e9i 0.166325 0.423790i −0.823273 0.567645i \(-0.807855\pi\)
0.989599 + 0.143855i \(0.0459498\pi\)
\(720\) 9.55794e7 + 4.18761e8i 0.00954334 + 0.0418121i
\(721\) 1.62358e7 + 2.16651e8i 0.00161324 + 0.0215272i
\(722\) 1.10290e9 + 3.40201e8i 0.109058 + 0.0336399i
\(723\) 9.99395e9 4.81283e9i 0.983452 0.473606i
\(724\) 8.11186e9 1.40502e10i 0.794393 1.37593i
\(725\) 5.83065e8 + 1.00990e9i 0.0568243 + 0.0984226i
\(726\) −2.02628e9 1.38149e9i −0.196526 0.133989i
\(727\) −4.92532e8 + 2.15792e9i −0.0475406 + 0.208289i −0.993120 0.117103i \(-0.962639\pi\)
0.945579 + 0.325392i \(0.105496\pi\)
\(728\) −9.52715e8 1.43599e8i −0.0915173 0.0137940i
\(729\) 6.93035e9 + 8.69039e9i 0.662535 + 0.830793i
\(730\) −1.51149e8 −0.0143805
\(731\) 2.76274e9 + 1.48006e10i 0.261595 + 1.40142i
\(732\) 6.82701e9 0.643342
\(733\) 4.91720e9 + 6.16597e9i 0.461162 + 0.578279i 0.956982 0.290146i \(-0.0937039\pi\)
−0.495820 + 0.868425i \(0.665132\pi\)
\(734\) −9.98547e8 1.50507e8i −0.0932035 0.0140482i
\(735\) 3.23484e8 1.41728e9i 0.0300502 0.131658i
\(736\) 1.41891e9 + 9.67397e8i 0.131185 + 0.0894401i
\(737\) −1.63132e9 2.82552e9i −0.150107 0.259994i
\(738\) 3.07664e8 5.32890e8i 0.0281760 0.0488023i
\(739\) 4.87743e9 2.34885e9i 0.444565 0.214091i −0.198189 0.980164i \(-0.563506\pi\)
0.642754 + 0.766072i \(0.277792\pi\)
\(740\) 1.06933e9 + 3.29845e8i 0.0970066 + 0.0299226i
\(741\) 7.13990e8 + 9.52753e9i 0.0644656 + 0.860234i
\(742\) 1.87280e8 + 8.20528e8i 0.0168298 + 0.0737360i
\(743\) 1.58861e9 4.04771e9i 0.142088 0.362033i −0.842060 0.539384i \(-0.818657\pi\)
0.984148 + 0.177350i \(0.0567526\pi\)
\(744\) 6.84689e8 9.13654e9i 0.0609520 0.813348i
\(745\) −2.70933e9 + 4.08366e8i −0.240058 + 0.0361829i
\(746\) −3.17028e9 2.94159e9i −0.279583 0.259415i
\(747\) 3.00816e9 + 1.44865e9i 0.264046 + 0.127158i
\(748\) −3.06085e9 + 2.08685e9i −0.267415 + 0.182320i
\(749\) −2.38801e8 6.08455e8i −0.0207659 0.0529105i
\(750\) −9.52083e8 + 2.93679e8i −0.0824063 + 0.0254190i
\(751\) −1.58518e10 + 1.47083e10i −1.36565 + 1.26714i −0.435383 + 0.900245i \(0.643387\pi\)