Properties

Label 43.9.f.a.2.19
Level 43
Weight 9
Character 43.2
Analytic conductor 17.517
Analytic rank 0
Dimension 174
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(17.5172802326\)
Analytic rank: \(0\)
Dimension: \(174\)
Relative dimension: \(29\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.19
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.19

$q$-expansion

\(f(q)\) \(=\) \(q+(3.66094 + 7.60201i) q^{2} +(-55.7168 + 115.697i) q^{3} +(115.225 - 144.488i) q^{4} +(474.386 + 108.275i) q^{5} -1083.51 q^{6} -3609.61i q^{7} +(3626.10 + 827.633i) q^{8} +(-6190.76 - 7762.96i) q^{9} +O(q^{10})\) \(q+(3.66094 + 7.60201i) q^{2} +(-55.7168 + 115.697i) q^{3} +(115.225 - 144.488i) q^{4} +(474.386 + 108.275i) q^{5} -1083.51 q^{6} -3609.61i q^{7} +(3626.10 + 827.633i) q^{8} +(-6190.76 - 7762.96i) q^{9} +(913.584 + 4002.67i) q^{10} +(-13594.7 - 17047.2i) q^{11} +(10296.9 + 21381.6i) q^{12} +(8864.19 - 38836.6i) q^{13} +(27440.3 - 13214.6i) q^{14} +(-38958.4 + 48852.3i) q^{15} +(-3544.36 - 15528.9i) q^{16} +(-7750.43 - 33956.9i) q^{17} +(36350.2 - 75481.9i) q^{18} +(179840. + 143418. i) q^{19} +(70305.7 - 56066.9i) q^{20} +(417622. + 201116. i) q^{21} +(79823.5 - 165755. i) q^{22} +(52421.7 + 65734.7i) q^{23} +(-297790. + 373416. i) q^{24} +(-138623. - 66757.2i) q^{25} +(327687. - 74792.5i) q^{26} +(421681. - 96245.9i) q^{27} +(-521545. - 415918. i) q^{28} +(-49700.3 - 103204. i) q^{29} +(-514000. - 117317. i) q^{30} +(-910457. + 438453. i) q^{31} +(849499. - 677453. i) q^{32} +(2.72976e6 - 623050. i) q^{33} +(229767. - 183233. i) q^{34} +(390832. - 1.71235e6i) q^{35} -1.83499e6 q^{36} -394872. i q^{37} +(-431880. + 1.89219e6i) q^{38} +(3.99940e6 + 3.18941e6i) q^{39} +(1.63056e6 + 785235. i) q^{40} +(2.30530e6 - 1.11017e6i) q^{41} +3.91104e6i q^{42} +(-3.20972e6 + 1.17723e6i) q^{43} -4.02956e6 q^{44} +(-2.09627e6 - 4.35295e6i) q^{45} +(-307804. + 639161. i) q^{46} +(2.95171e6 - 3.70133e6i) q^{47} +(1.99413e6 + 455146. i) q^{48} -7.26449e6 q^{49} -1.29821e6i q^{50} +(4.36054e6 + 995266. i) q^{51} +(-4.59004e6 - 5.75572e6i) q^{52} +(1.65628e6 + 7.25662e6i) q^{53} +(2.27541e6 + 2.85327e6i) q^{54} +(-4.60332e6 - 9.55889e6i) q^{55} +(2.98743e6 - 1.30888e7i) q^{56} +(-2.66131e7 + 1.28162e7i) q^{57} +(602607. - 755645. i) q^{58} +(-2.99165e6 - 1.31073e7i) q^{59} +(2.56958e6 + 1.12580e7i) q^{60} +(-2.83935e6 + 5.89598e6i) q^{61} +(-6.66625e6 - 5.31616e6i) q^{62} +(-2.80213e7 + 2.23462e7i) q^{63} +(4.58615e6 + 2.20857e6i) q^{64} +(8.41009e6 - 1.74637e7i) q^{65} +(1.47299e7 + 1.84707e7i) q^{66} +(-5.81276e6 + 7.28897e6i) q^{67} +(-5.79940e6 - 2.79285e6i) q^{68} +(-1.05261e7 + 2.40251e6i) q^{69} +(1.44481e7 - 3.29768e6i) q^{70} +(3.24028e7 + 2.58403e7i) q^{71} +(-1.60234e7 - 3.32730e7i) q^{72} +(2.25201e7 + 5.14007e6i) q^{73} +(3.00182e6 - 1.44560e6i) q^{74} +(1.54472e7 - 1.23188e7i) q^{75} +(4.14442e7 - 9.45938e6i) q^{76} +(-6.15336e7 + 4.90714e7i) q^{77} +(-9.60441e6 + 4.20797e7i) q^{78} +4.33825e7 q^{79} -7.75044e6i q^{80} +(2.13690e6 - 9.36236e6i) q^{81} +(1.68791e7 + 1.34606e7i) q^{82} +(-3.87530e7 - 1.86625e7i) q^{83} +(7.71794e7 - 3.71677e7i) q^{84} -1.69478e7i q^{85} +(-2.06999e7 - 2.00906e7i) q^{86} +1.47095e7 q^{87} +(-3.51868e7 - 7.30660e7i) q^{88} +(4.93375e7 - 1.02450e8i) q^{89} +(2.54168e7 - 3.18717e7i) q^{90} +(-1.40185e8 - 3.19963e7i) q^{91} +1.55382e7 q^{92} -1.29767e8i q^{93} +(3.89436e7 + 8.88862e6i) q^{94} +(6.97849e7 + 8.75075e7i) q^{95} +(3.10480e7 + 1.36030e8i) q^{96} +(5.39313e7 + 6.76277e7i) q^{97} +(-2.65948e7 - 5.52247e7i) q^{98} +(-4.81753e7 + 2.11070e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} + O(q^{10}) \) \( 174q - 7q^{2} - 7q^{3} + 4021q^{4} - 7q^{5} + 1780q^{6} - 5383q^{8} + 56490q^{9} - 24989q^{10} - 14864q^{11} - 1799q^{12} + 133078q^{13} - 243363q^{14} - 7457q^{15} - 558511q^{16} + 55162q^{17} - 45934q^{18} + 619745q^{19} + 1207493q^{20} + 307272q^{21} + 432761q^{22} + 473962q^{23} + 179363q^{24} + 2991984q^{25} + 112889q^{26} - 7q^{27} + 458745q^{28} + 1369823q^{29} + 4208148q^{30} + 608540q^{31} - 15074437q^{32} - 10988257q^{33} + 1542905q^{34} - 4078926q^{35} + 53343072q^{36} - 15207265q^{38} - 16862587q^{39} - 537581q^{40} - 852935q^{41} + 2982351q^{43} - 10366284q^{44} + 52423812q^{45} + 51003036q^{46} + 5828578q^{47} - 32078599q^{48} - 145853506q^{49} - 30015937q^{51} + 71975797q^{52} - 7800770q^{53} + 43151245q^{54} - 53485957q^{55} + 25379079q^{56} - 21662515q^{57} - 191329035q^{58} + 69716890q^{59} - 106388277q^{60} - 49131775q^{61} + 67656953q^{62} + 355075q^{63} + 227160853q^{64} - 87064999q^{65} + 146686057q^{66} - 31581292q^{67} + 200919430q^{68} - 30179079q^{69} + 86518670q^{70} - 60255454q^{71} - 438784346q^{72} - 50897868q^{73} + 5087868q^{74} + 206284834q^{75} + 461519674q^{76} + 256281375q^{77} - 182130842q^{78} - 236682026q^{79} - 488977844q^{81} - 226181851q^{82} - 429023996q^{83} - 513228846q^{84} + 336855461q^{86} + 255103986q^{87} + 977894029q^{88} - 258201748q^{89} + 1399550866q^{90} + 246776320q^{91} + 363749100q^{92} - 637129955q^{94} + 60088655q^{95} - 1169196874q^{96} + 218930393q^{97} - 330217825q^{98} + 459482633q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.66094 + 7.60201i 0.228808 + 0.475126i 0.983489 0.180966i \(-0.0579226\pi\)
−0.754681 + 0.656092i \(0.772208\pi\)
\(3\) −55.7168 + 115.697i −0.687862 + 1.42836i 0.205334 + 0.978692i \(0.434172\pi\)
−0.893196 + 0.449668i \(0.851542\pi\)
\(4\) 115.225 144.488i 0.450099 0.564406i
\(5\) 474.386 + 108.275i 0.759017 + 0.173241i 0.584478 0.811410i \(-0.301299\pi\)
0.174539 + 0.984650i \(0.444156\pi\)
\(6\) −1083.51 −0.836039
\(7\) 3609.61i 1.50338i −0.659518 0.751689i \(-0.729239\pi\)
0.659518 0.751689i \(-0.270761\pi\)
\(8\) 3626.10 + 827.633i 0.885278 + 0.202059i
\(9\) −6190.76 7762.96i −0.943569 1.18320i
\(10\) 913.584 + 4002.67i 0.0913584 + 0.400267i
\(11\) −13594.7 17047.2i −0.928533 1.16434i −0.986125 0.166003i \(-0.946914\pi\)
0.0575923 0.998340i \(-0.481658\pi\)
\(12\) 10296.9 + 21381.6i 0.496569 + 1.03114i
\(13\) 8864.19 38836.6i 0.310360 1.35978i −0.543559 0.839371i \(-0.682924\pi\)
0.853919 0.520405i \(-0.174219\pi\)
\(14\) 27440.3 13214.6i 0.714293 0.343986i
\(15\) −38958.4 + 48852.3i −0.769549 + 0.964984i
\(16\) −3544.36 15528.9i −0.0540827 0.236952i
\(17\) −7750.43 33956.9i −0.0927962 0.406567i 0.907101 0.420913i \(-0.138290\pi\)
−0.999897 + 0.0143465i \(0.995433\pi\)
\(18\) 36350.2 75481.9i 0.346271 0.719040i
\(19\) 179840. + 143418.i 1.37998 + 1.10050i 0.983190 + 0.182585i \(0.0584463\pi\)
0.396787 + 0.917911i \(0.370125\pi\)
\(20\) 70305.7 56066.9i 0.439411 0.350418i
\(21\) 417622. + 201116.i 2.14737 + 1.03412i
\(22\) 79823.5 165755.i 0.340753 0.707581i
\(23\) 52421.7 + 65734.7i 0.187327 + 0.234900i 0.866623 0.498964i \(-0.166286\pi\)
−0.679296 + 0.733865i \(0.737715\pi\)
\(24\) −297790. + 373416.i −0.897562 + 1.12551i
\(25\) −138623. 66757.2i −0.354874 0.170898i
\(26\) 327687. 74792.5i 0.717078 0.163668i
\(27\) 421681. 96245.9i 0.793467 0.181104i
\(28\) −521545. 415918.i −0.848516 0.676669i
\(29\) −49700.3 103204.i −0.0702696 0.145916i 0.862875 0.505417i \(-0.168661\pi\)
−0.933145 + 0.359501i \(0.882947\pi\)
\(30\) −514000. 117317.i −0.634568 0.144836i
\(31\) −910457. + 438453.i −0.985854 + 0.474762i −0.856115 0.516786i \(-0.827128\pi\)
−0.129739 + 0.991548i \(0.541414\pi\)
\(32\) 849499. 677453.i 0.810145 0.646069i
\(33\) 2.72976e6 623050.i 2.30180 0.525372i
\(34\) 229767. 183233.i 0.171938 0.137116i
\(35\) 390832. 1.71235e6i 0.260446 1.14109i
\(36\) −1.83499e6 −1.09250
\(37\) 394872.i 0.210693i −0.994436 0.105346i \(-0.966405\pi\)
0.994436 0.105346i \(-0.0335951\pi\)
\(38\) −431880. + 1.89219e6i −0.207123 + 0.907465i
\(39\) 3.99940e6 + 3.18941e6i 1.72877 + 1.37864i
\(40\) 1.63056e6 + 785235.i 0.636936 + 0.306732i
\(41\) 2.30530e6 1.11017e6i 0.815816 0.392876i 0.0210396 0.999779i \(-0.493302\pi\)
0.794776 + 0.606902i \(0.207588\pi\)
\(42\) 3.91104e6i 1.25688i
\(43\) −3.20972e6 + 1.17723e6i −0.938845 + 0.344340i
\(44\) −4.02956e6 −1.07509
\(45\) −2.09627e6 4.35295e6i −0.511207 1.06153i
\(46\) −307804. + 639161.i −0.0687452 + 0.142751i
\(47\) 2.95171e6 3.70133e6i 0.604899 0.758519i −0.381234 0.924479i \(-0.624501\pi\)
0.986133 + 0.165960i \(0.0530722\pi\)
\(48\) 1.99413e6 + 455146.i 0.375654 + 0.0857405i
\(49\) −7.26449e6 −1.26015
\(50\) 1.29821e6i 0.207713i
\(51\) 4.36054e6 + 995266.i 0.644555 + 0.147115i
\(52\) −4.59004e6 5.75572e6i −0.627773 0.787203i
\(53\) 1.65628e6 + 7.25662e6i 0.209908 + 0.919667i 0.964627 + 0.263619i \(0.0849161\pi\)
−0.754719 + 0.656048i \(0.772227\pi\)
\(54\) 2.27541e6 + 2.85327e6i 0.267599 + 0.335558i
\(55\) −4.60332e6 9.55889e6i −0.503061 1.04462i
\(56\) 2.98743e6 1.30888e7i 0.303771 1.33091i
\(57\) −2.66131e7 + 1.28162e7i −2.52114 + 1.21412i
\(58\) 602607. 755645.i 0.0532503 0.0667738i
\(59\) −2.99165e6 1.31073e7i −0.246890 1.08170i −0.934597 0.355707i \(-0.884240\pi\)
0.687708 0.725988i \(-0.258617\pi\)
\(60\) 2.56958e6 + 1.12580e7i 0.198270 + 0.868676i
\(61\) −2.83935e6 + 5.89598e6i −0.205069 + 0.425830i −0.977984 0.208679i \(-0.933084\pi\)
0.772915 + 0.634509i \(0.218798\pi\)
\(62\) −6.66625e6 5.31616e6i −0.451144 0.359775i
\(63\) −2.80213e7 + 2.23462e7i −1.77879 + 1.41854i
\(64\) 4.58615e6 + 2.20857e6i 0.273356 + 0.131641i
\(65\) 8.41009e6 1.74637e7i 0.471137 0.978327i
\(66\) 1.47299e7 + 1.84707e7i 0.776290 + 0.973437i
\(67\) −5.81276e6 + 7.28897e6i −0.288459 + 0.361716i −0.904855 0.425721i \(-0.860021\pi\)
0.616396 + 0.787436i \(0.288592\pi\)
\(68\) −5.79940e6 2.79285e6i −0.271236 0.130620i
\(69\) −1.05261e7 + 2.40251e6i −0.464377 + 0.105991i
\(70\) 1.44481e7 3.29768e6i 0.601753 0.137346i
\(71\) 3.24028e7 + 2.58403e7i 1.27511 + 1.01687i 0.998436 + 0.0559056i \(0.0178046\pi\)
0.276677 + 0.960963i \(0.410767\pi\)
\(72\) −1.60234e7 3.32730e7i −0.596245 1.23812i
\(73\) 2.25201e7 + 5.14007e6i 0.793012 + 0.181000i 0.599792 0.800156i \(-0.295250\pi\)
0.193220 + 0.981156i \(0.438107\pi\)
\(74\) 3.00182e6 1.44560e6i 0.100105 0.0482082i
\(75\) 1.54472e7 1.23188e7i 0.488209 0.389334i
\(76\) 4.14442e7 9.45938e6i 1.24225 0.283536i
\(77\) −6.15336e7 + 4.90714e7i −1.75045 + 1.39594i
\(78\) −9.60441e6 + 4.20797e7i −0.259473 + 1.13683i
\(79\) 4.33825e7 1.11380 0.556899 0.830580i \(-0.311991\pi\)
0.556899 + 0.830580i \(0.311991\pi\)
\(80\) 7.75044e6i 0.189220i
\(81\) 2.13690e6 9.36236e6i 0.0496414 0.217493i
\(82\) 1.68791e7 + 1.34606e7i 0.373331 + 0.297722i
\(83\) −3.87530e7 1.86625e7i −0.816569 0.393239i −0.0215084 0.999769i \(-0.506847\pi\)
−0.795061 + 0.606530i \(0.792561\pi\)
\(84\) 7.71794e7 3.71677e7i 1.55019 0.746531i
\(85\) 1.69478e7i 0.324667i
\(86\) −2.06999e7 2.00906e7i −0.378420 0.367282i
\(87\) 1.47095e7 0.256757
\(88\) −3.51868e7 7.30660e7i −0.586744 1.21839i
\(89\) 4.93375e7 1.02450e8i 0.786351 1.63288i 0.0121583 0.999926i \(-0.496130\pi\)
0.774193 0.632949i \(-0.218156\pi\)
\(90\) 2.54168e7 3.18717e7i 0.387393 0.485775i
\(91\) −1.40185e8 3.19963e7i −2.04426 0.466588i
\(92\) 1.55382e7 0.216895
\(93\) 1.29767e8i 1.73473i
\(94\) 3.89436e7 + 8.88862e6i 0.498798 + 0.113847i
\(95\) 6.97849e7 + 8.75075e7i 0.856776 + 1.07436i
\(96\) 3.10480e7 + 1.36030e8i 0.365551 + 1.60159i
\(97\) 5.39313e7 + 6.76277e7i 0.609192 + 0.763902i 0.986779 0.162072i \(-0.0518176\pi\)
−0.377587 + 0.925974i \(0.623246\pi\)
\(98\) −2.65948e7 5.52247e7i −0.288332 0.598727i
\(99\) −4.81753e7 + 2.11070e8i −0.501514 + 2.19728i
\(100\) −2.56184e7 + 1.23372e7i −0.256184 + 0.123372i
\(101\) −2.46106e7 + 3.08608e7i −0.236503 + 0.296566i −0.885893 0.463890i \(-0.846453\pi\)
0.649389 + 0.760456i \(0.275025\pi\)
\(102\) 8.39765e6 + 3.67925e7i 0.0775813 + 0.339906i
\(103\) 5.26440e6 + 2.30648e7i 0.0467735 + 0.204928i 0.992915 0.118825i \(-0.0379126\pi\)
−0.946142 + 0.323753i \(0.895055\pi\)
\(104\) 6.42849e7 1.33489e8i 0.549510 1.14107i
\(105\) 1.76338e8 + 1.40625e8i 1.45074 + 1.15692i
\(106\) −4.91013e7 + 3.91570e7i −0.388929 + 0.310160i
\(107\) 7.29922e7 + 3.51512e7i 0.556854 + 0.268167i 0.691073 0.722785i \(-0.257138\pi\)
−0.134219 + 0.990952i \(0.542853\pi\)
\(108\) 3.46819e7 7.20178e7i 0.254923 0.529352i
\(109\) −1.13987e8 1.42935e8i −0.807511 1.01259i −0.999513 0.0311924i \(-0.990070\pi\)
0.192002 0.981394i \(-0.438502\pi\)
\(110\) 5.58143e7 6.99890e7i 0.381219 0.478034i
\(111\) 4.56856e7 + 2.20010e7i 0.300945 + 0.144927i
\(112\) −5.60531e7 + 1.27938e7i −0.356228 + 0.0813067i
\(113\) 2.61913e8 5.97798e7i 1.60636 0.366641i 0.677048 0.735939i \(-0.263259\pi\)
0.929311 + 0.369298i \(0.120402\pi\)
\(114\) −1.94858e8 1.55394e8i −1.15372 0.920057i
\(115\) 1.77506e7 + 3.68596e7i 0.101490 + 0.210746i
\(116\) −2.06384e7 4.71059e6i −0.113984 0.0260162i
\(117\) −3.56363e8 + 1.71615e8i −1.90173 + 0.915825i
\(118\) 8.86895e7 7.07275e7i 0.457451 0.364805i
\(119\) −1.22571e8 + 2.79760e7i −0.611224 + 0.139508i
\(120\) −1.81699e8 + 1.44900e8i −0.876249 + 0.698785i
\(121\) −5.80916e7 + 2.54516e8i −0.271001 + 1.18733i
\(122\) −5.52160e7 −0.249244
\(123\) 3.28572e8i 1.43552i
\(124\) −4.15565e7 + 1.82071e8i −0.175773 + 0.770112i
\(125\) −2.07137e8 1.65186e8i −0.848434 0.676603i
\(126\) −2.72460e8 1.31210e8i −1.08099 0.520577i
\(127\) −4.06231e8 + 1.95631e8i −1.56156 + 0.752007i −0.997289 0.0735835i \(-0.976556\pi\)
−0.564270 + 0.825591i \(0.690842\pi\)
\(128\) 2.35207e8i 0.876215i
\(129\) 4.26336e7 4.36948e8i 0.153955 1.57787i
\(130\) 1.63548e8 0.572628
\(131\) 1.49281e8 + 3.09985e8i 0.506896 + 1.05258i 0.984723 + 0.174127i \(0.0557102\pi\)
−0.477827 + 0.878454i \(0.658576\pi\)
\(132\) 2.24514e8 4.66208e8i 0.739516 1.53562i
\(133\) 5.17682e8 6.49152e8i 1.65446 2.07463i
\(134\) −7.66910e7 1.75042e7i −0.237862 0.0542905i
\(135\) 2.10460e8 0.633630
\(136\) 1.29545e8i 0.378675i
\(137\) −2.94090e8 6.71241e7i −0.834830 0.190544i −0.216321 0.976322i \(-0.569406\pi\)
−0.618509 + 0.785778i \(0.712263\pi\)
\(138\) −5.67993e7 7.12240e7i −0.156612 0.196386i
\(139\) 2.60386e7 + 1.14083e8i 0.0697524 + 0.305605i 0.997755 0.0669682i \(-0.0213326\pi\)
−0.928003 + 0.372573i \(0.878475\pi\)
\(140\) −2.02380e8 2.53776e8i −0.526811 0.660600i
\(141\) 2.63773e8 + 5.47731e8i 0.667352 + 1.38577i
\(142\) −7.78141e7 + 3.40926e8i −0.191384 + 0.838507i
\(143\) −7.82559e8 + 3.76860e8i −1.87143 + 0.901231i
\(144\) −9.86077e7 + 1.23650e8i −0.229330 + 0.287571i
\(145\) −1.24027e7 5.43398e7i −0.0280572 0.122927i
\(146\) 4.33699e7 + 1.90016e8i 0.0954502 + 0.418194i
\(147\) 4.04754e8 8.40481e8i 0.866806 1.79994i
\(148\) −5.70542e7 4.54992e7i −0.118916 0.0948325i
\(149\) 1.37170e8 1.09390e8i 0.278301 0.221938i −0.474385 0.880318i \(-0.657329\pi\)
0.752686 + 0.658380i \(0.228758\pi\)
\(150\) 1.50199e8 + 7.23319e7i 0.296689 + 0.142878i
\(151\) −7.48197e7 + 1.55365e8i −0.143916 + 0.298844i −0.960450 0.278453i \(-0.910178\pi\)
0.816534 + 0.577297i \(0.195893\pi\)
\(152\) 5.33420e8 + 6.68888e8i 0.999299 + 1.25308i
\(153\) −2.15625e8 + 2.70385e8i −0.393490 + 0.493420i
\(154\) −5.98312e8 2.88132e8i −1.06376 0.512281i
\(155\) −4.79381e8 + 1.09416e8i −0.830528 + 0.189563i
\(156\) 9.21663e8 2.10364e8i 1.55623 0.355199i
\(157\) 9.17277e8 + 7.31504e8i 1.50974 + 1.20398i 0.917194 + 0.398441i \(0.130448\pi\)
0.592546 + 0.805537i \(0.298123\pi\)
\(158\) 1.58820e8 + 3.29794e8i 0.254846 + 0.529194i
\(159\) −9.31852e8 2.12689e8i −1.45800 0.332780i
\(160\) 4.76342e8 2.29394e8i 0.726840 0.350027i
\(161\) 2.37277e8 1.89222e8i 0.353144 0.281623i
\(162\) 7.89958e7 1.80303e7i 0.114695 0.0261784i
\(163\) −6.28957e8 + 5.01577e8i −0.890986 + 0.710537i −0.957864 0.287224i \(-0.907268\pi\)
0.0668778 + 0.997761i \(0.478696\pi\)
\(164\) 1.05222e8 4.61008e8i 0.145456 0.637285i
\(165\) 1.36242e9 1.83813
\(166\) 3.62923e8i 0.477949i
\(167\) −1.07271e8 + 4.69983e8i −0.137916 + 0.604250i 0.857975 + 0.513691i \(0.171722\pi\)
−0.995891 + 0.0905585i \(0.971135\pi\)
\(168\) 1.34789e9 + 1.07490e9i 1.69206 + 1.34938i
\(169\) −6.94757e8 3.34577e8i −0.851699 0.410157i
\(170\) 1.28838e8 6.20449e7i 0.154258 0.0742866i
\(171\) 2.28396e9i 2.67118i
\(172\) −1.99746e8 + 5.99413e8i −0.228226 + 0.684877i
\(173\) −5.22769e8 −0.583614 −0.291807 0.956477i \(-0.594256\pi\)
−0.291807 + 0.956477i \(0.594256\pi\)
\(174\) 5.38507e7 + 1.11822e8i 0.0587481 + 0.121992i
\(175\) −2.40967e8 + 5.00374e8i −0.256925 + 0.533510i
\(176\) −2.16539e8 + 2.71531e8i −0.225676 + 0.282988i
\(177\) 1.68316e9 + 3.84171e8i 1.71488 + 0.391409i
\(178\) 9.59449e8 0.955745
\(179\) 4.01593e7i 0.0391178i −0.999809 0.0195589i \(-0.993774\pi\)
0.999809 0.0195589i \(-0.00622618\pi\)
\(180\) −8.70491e8 1.98684e8i −0.829229 0.189266i
\(181\) −9.67878e8 1.21368e9i −0.901792 1.13081i −0.990875 0.134787i \(-0.956965\pi\)
0.0890827 0.996024i \(-0.471606\pi\)
\(182\) −2.69972e8 1.18282e9i −0.246055 1.07804i
\(183\) −5.23948e8 6.57010e8i −0.467180 0.585825i
\(184\) 1.35682e8 + 2.81747e8i 0.118373 + 0.245803i
\(185\) 4.27549e7 1.87322e8i 0.0365005 0.159919i
\(186\) 9.86486e8 4.75067e8i 0.824213 0.396920i
\(187\) −4.73503e8 + 5.93755e8i −0.387219 + 0.485557i
\(188\) −1.94686e8 8.52974e8i −0.155848 0.682817i
\(189\) −3.47410e8 1.52210e9i −0.272267 1.19288i
\(190\) −4.09755e8 + 8.50865e8i −0.314420 + 0.652900i
\(191\) 9.93184e8 + 7.92038e8i 0.746271 + 0.595131i 0.921035 0.389479i \(-0.127345\pi\)
−0.174765 + 0.984610i \(0.555916\pi\)
\(192\) −5.11051e8 + 4.07550e8i −0.376062 + 0.299900i
\(193\) 1.00730e9 + 4.85090e8i 0.725989 + 0.349618i 0.760105 0.649800i \(-0.225147\pi\)
−0.0341164 + 0.999418i \(0.510862\pi\)
\(194\) −3.16668e8 + 6.57567e8i −0.223561 + 0.464230i
\(195\) 1.55192e9 + 1.94605e9i 1.07333 + 1.34591i
\(196\) −8.37053e8 + 1.04963e9i −0.567190 + 0.711234i
\(197\) −5.08958e8 2.45101e8i −0.337922 0.162735i 0.257225 0.966352i \(-0.417192\pi\)
−0.595147 + 0.803617i \(0.702906\pi\)
\(198\) −1.78092e9 + 4.06483e8i −1.15873 + 0.264473i
\(199\) 1.30499e9 2.97856e8i 0.832139 0.189930i 0.214830 0.976651i \(-0.431080\pi\)
0.617309 + 0.786721i \(0.288223\pi\)
\(200\) −4.47409e8 3.56797e8i −0.279631 0.222998i
\(201\) −5.19445e8 1.07864e9i −0.318240 0.660833i
\(202\) −3.24702e8 7.41111e7i −0.195020 0.0445121i
\(203\) −3.72526e8 + 1.79399e8i −0.219367 + 0.105642i
\(204\) 6.46249e8 5.15366e8i 0.373146 0.297574i
\(205\) 1.21381e9 2.77043e8i 0.687280 0.156867i
\(206\) −1.56066e8 + 1.24459e8i −0.0866644 + 0.0691125i
\(207\) 1.85766e8 8.13896e8i 0.101178 0.443289i
\(208\) −6.34506e8 −0.338986
\(209\) 5.01547e9i 2.62861i
\(210\) −4.23469e8 + 1.85534e9i −0.217743 + 0.953996i
\(211\) 8.53531e8 + 6.80668e8i 0.430615 + 0.343404i 0.814689 0.579898i \(-0.196908\pi\)
−0.384074 + 0.923303i \(0.625479\pi\)
\(212\) 1.23934e9 + 5.96834e8i 0.613545 + 0.295468i
\(213\) −4.79503e9 + 2.30917e9i −2.32956 + 1.12186i
\(214\) 6.83574e8i 0.325935i
\(215\) −1.65011e9 + 2.10926e8i −0.772253 + 0.0987135i
\(216\) 1.60871e9 0.739033
\(217\) 1.58264e9 + 3.28640e9i 0.713747 + 1.48211i
\(218\) 6.69294e8 1.38980e9i 0.296341 0.615358i
\(219\) −1.84944e9 + 2.31913e9i −0.804016 + 1.00820i
\(220\) −1.91156e9 4.36302e8i −0.816015 0.186250i
\(221\) −1.38747e9 −0.581640
\(222\) 4.27846e8i 0.176147i
\(223\) 2.13875e9 + 4.88156e8i 0.864850 + 0.197396i 0.631860 0.775083i \(-0.282292\pi\)
0.232990 + 0.972479i \(0.425149\pi\)
\(224\) −2.44534e9 3.06636e9i −0.971286 1.21795i
\(225\) 3.39946e8 + 1.48940e9i 0.132642 + 0.581141i
\(226\) 1.41329e9 + 1.77221e9i 0.541749 + 0.679332i
\(227\) 5.75305e8 + 1.19463e9i 0.216668 + 0.449916i 0.980767 0.195184i \(-0.0625303\pi\)
−0.764099 + 0.645099i \(0.776816\pi\)
\(228\) −1.21472e9 + 5.32203e9i −0.449507 + 1.96942i
\(229\) 2.62389e9 1.26360e9i 0.954120 0.459480i 0.108991 0.994043i \(-0.465238\pi\)
0.845129 + 0.534563i \(0.179524\pi\)
\(230\) −2.15223e8 + 2.69881e8i −0.0769091 + 0.0964409i
\(231\) −2.24897e9 9.85337e9i −0.789833 3.46048i
\(232\) −9.48034e7 4.15361e8i −0.0327244 0.143375i
\(233\) 8.18690e8 1.70003e9i 0.277777 0.576810i −0.714673 0.699458i \(-0.753425\pi\)
0.992450 + 0.122649i \(0.0391389\pi\)
\(234\) −2.60924e9 2.08080e9i −0.870264 0.694013i
\(235\) 1.80101e9 1.43626e9i 0.590535 0.470936i
\(236\) −2.23856e9 1.07803e9i −0.721640 0.347524i
\(237\) −2.41713e9 + 5.01923e9i −0.766139 + 1.59090i
\(238\) −6.61399e8 8.29368e8i −0.206137 0.258487i
\(239\) −5.08192e8 + 6.37253e8i −0.155753 + 0.195308i −0.853585 0.520953i \(-0.825577\pi\)
0.697832 + 0.716261i \(0.254148\pi\)
\(240\) 8.96704e8 + 4.31830e8i 0.270274 + 0.130157i
\(241\) −3.86657e9 + 8.82520e8i −1.14619 + 0.261611i −0.753112 0.657892i \(-0.771448\pi\)
−0.393082 + 0.919503i \(0.628591\pi\)
\(242\) −2.14750e9 + 4.90153e8i −0.626141 + 0.142912i
\(243\) 3.18282e9 + 2.53821e9i 0.912823 + 0.727952i
\(244\) 5.24732e8 + 1.08962e9i 0.148040 + 0.307408i
\(245\) −3.44617e9 7.86566e8i −0.956472 0.218309i
\(246\) −2.49781e9 + 1.20288e9i −0.682054 + 0.328460i
\(247\) 7.16399e9 5.71309e9i 1.92472 1.53491i
\(248\) −3.66429e9 + 8.36349e8i −0.968685 + 0.221096i
\(249\) 4.31839e9 3.44380e9i 1.12337 0.895861i
\(250\) 4.97433e8 2.17939e9i 0.127343 0.557925i
\(251\) 3.30872e9 0.833615 0.416807 0.908995i \(-0.363149\pi\)
0.416807 + 0.908995i \(0.363149\pi\)
\(252\) 6.62359e9i 1.64245i
\(253\) 4.07935e8 1.78728e9i 0.0995656 0.436225i
\(254\) −2.97437e9 2.37198e9i −0.714596 0.569871i
\(255\) 1.96082e9 + 9.44280e8i 0.463742 + 0.223326i
\(256\) 2.96210e9 1.42647e9i 0.689668 0.332127i
\(257\) 1.53109e9i 0.350969i 0.984482 + 0.175484i \(0.0561492\pi\)
−0.984482 + 0.175484i \(0.943851\pi\)
\(258\) 3.47776e9 1.27554e9i 0.784911 0.287881i
\(259\) −1.42533e9 −0.316751
\(260\) −1.55424e9 3.22742e9i −0.340115 0.706256i
\(261\) −4.93485e8 + 1.02473e9i −0.106344 + 0.220825i
\(262\) −1.81000e9 + 2.26967e9i −0.384126 + 0.481679i
\(263\) −5.42659e9 1.23858e9i −1.13424 0.258882i −0.386120 0.922449i \(-0.626185\pi\)
−0.748117 + 0.663567i \(0.769042\pi\)
\(264\) 1.04140e10 2.14389
\(265\) 3.62177e9i 0.734408i
\(266\) 6.83006e9 + 1.55892e9i 1.36426 + 0.311384i
\(267\) 9.10428e9 + 1.14164e10i 1.79143 + 2.24639i
\(268\) 3.83392e8 + 1.67975e9i 0.0743196 + 0.325615i
\(269\) −4.80492e9 6.02518e9i −0.917651 1.15070i −0.988197 0.153189i \(-0.951046\pi\)
0.0705464 0.997509i \(-0.477526\pi\)
\(270\) 7.70482e8 + 1.59992e9i 0.144980 + 0.301054i
\(271\) −8.78183e8 + 3.84757e9i −0.162820 + 0.713361i 0.825929 + 0.563775i \(0.190651\pi\)
−0.988749 + 0.149586i \(0.952206\pi\)
\(272\) −4.99841e8 + 2.40711e8i −0.0913180 + 0.0439764i
\(273\) 1.15125e10 1.44363e10i 2.07262 2.59899i
\(274\) −5.66366e8 2.48141e9i −0.100484 0.440247i
\(275\) 7.46508e8 + 3.27066e9i 0.130528 + 0.571880i
\(276\) −8.65738e8 + 1.79772e9i −0.149194 + 0.309804i
\(277\) 2.26497e9 + 1.80625e9i 0.384718 + 0.306803i 0.796683 0.604397i \(-0.206586\pi\)
−0.411965 + 0.911200i \(0.635157\pi\)
\(278\) −7.71932e8 + 6.15596e8i −0.129241 + 0.103066i
\(279\) 9.04011e9 + 4.35349e9i 1.49196 + 0.718490i
\(280\) 2.83439e9 5.88568e9i 0.461135 0.957556i
\(281\) 6.17715e8 + 7.74590e8i 0.0990747 + 0.124236i 0.828897 0.559401i \(-0.188969\pi\)
−0.729823 + 0.683637i \(0.760397\pi\)
\(282\) −3.19820e9 + 4.01042e9i −0.505719 + 0.634152i
\(283\) 3.58486e8 + 1.72638e8i 0.0558889 + 0.0269147i 0.461619 0.887078i \(-0.347269\pi\)
−0.405731 + 0.913993i \(0.632983\pi\)
\(284\) 7.46723e9 1.70435e9i 1.14785 0.261990i
\(285\) −1.40126e10 + 3.19828e9i −2.12392 + 0.484771i
\(286\) −5.72979e9 4.56936e9i −0.856396 0.682953i
\(287\) −4.00730e9 8.32124e9i −0.590642 1.22648i
\(288\) −1.05181e10 2.40068e9i −1.52886 0.348951i
\(289\) 5.19194e9 2.50031e9i 0.744283 0.358428i
\(290\) 3.67686e8 2.93220e8i 0.0519858 0.0414573i
\(291\) −1.08292e10 + 2.47170e9i −1.51017 + 0.344686i
\(292\) 3.33757e9 2.66162e9i 0.459091 0.366113i
\(293\) −2.15513e8 + 9.44224e8i −0.0292417 + 0.128116i −0.987442 0.157982i \(-0.949501\pi\)
0.958200 + 0.286098i \(0.0923584\pi\)
\(294\) 7.87112e9 1.05353
\(295\) 6.54183e9i 0.863797i
\(296\) 3.26809e8 1.43184e9i 0.0425723 0.186522i
\(297\) −7.37332e9 5.88003e9i −0.947627 0.755707i
\(298\) 1.33375e9 + 6.42301e8i 0.169126 + 0.0814467i
\(299\) 3.01759e9 1.45319e9i 0.377551 0.181819i
\(300\) 3.65137e9i 0.450787i
\(301\) 4.24934e9 + 1.15859e10i 0.517673 + 1.41144i
\(302\) −1.45499e9 −0.174918
\(303\) −2.19928e9 4.56685e9i −0.260921 0.541809i
\(304\) 1.58969e9 3.30104e9i 0.186131 0.386506i
\(305\) −1.98534e9 + 2.48954e9i −0.229422 + 0.287686i
\(306\) −2.84486e9 6.49320e8i −0.324470 0.0740582i
\(307\) −1.23312e10 −1.38820 −0.694099 0.719879i \(-0.744197\pi\)
−0.694099 + 0.719879i \(0.744197\pi\)
\(308\) 1.45451e10i 1.61627i
\(309\) −2.96185e9 6.76023e8i −0.324885 0.0741528i
\(310\) −2.58676e9 3.24370e9i −0.280098 0.351232i
\(311\) 5.10167e8 + 2.23519e9i 0.0545344 + 0.238931i 0.994848 0.101379i \(-0.0323253\pi\)
−0.940314 + 0.340309i \(0.889468\pi\)
\(312\) 1.18625e10 + 1.48752e10i 1.25187 + 1.56980i
\(313\) 1.95485e9 + 4.05930e9i 0.203675 + 0.422935i 0.977638 0.210296i \(-0.0674428\pi\)
−0.773963 + 0.633231i \(0.781728\pi\)
\(314\) −2.20281e9 + 9.65114e9i −0.226599 + 0.992796i
\(315\) −1.57124e10 + 7.56671e9i −1.59588 + 0.768538i
\(316\) 4.99876e9 6.26825e9i 0.501319 0.628634i
\(317\) −2.03303e9 8.90727e9i −0.201329 0.882079i −0.970129 0.242590i \(-0.922003\pi\)
0.768800 0.639489i \(-0.220854\pi\)
\(318\) −1.79459e9 7.86259e9i −0.175491 0.768878i
\(319\) −1.08367e9 + 2.25027e9i −0.104649 + 0.217306i
\(320\) 1.93647e9 + 1.54428e9i 0.184676 + 0.147274i
\(321\) −8.13379e9 + 6.48648e9i −0.766078 + 0.610927i
\(322\) 2.30712e9 + 1.11105e9i 0.214609 + 0.103350i
\(323\) 3.47618e9 7.21835e9i 0.319368 0.663175i
\(324\) −1.10652e9 1.38754e9i −0.100411 0.125911i
\(325\) −3.82140e9 + 4.79188e9i −0.342522 + 0.429509i
\(326\) −6.11556e9 2.94510e9i −0.541460 0.260753i
\(327\) 2.28881e10 5.22407e9i 2.00180 0.456897i
\(328\) 9.27807e9 2.11766e9i 0.801608 0.182962i
\(329\) −1.33604e10 1.06545e10i −1.14034 0.909391i
\(330\) 4.98773e9 + 1.03571e10i 0.420579 + 0.873340i
\(331\) −6.84665e9 1.56270e9i −0.570383 0.130186i −0.0724040 0.997375i \(-0.523067\pi\)
−0.497979 + 0.867189i \(0.665924\pi\)
\(332\) −7.16183e9 + 3.44895e9i −0.589483 + 0.283880i
\(333\) −3.06538e9 + 2.44456e9i −0.249291 + 0.198803i
\(334\) −3.96553e9 + 9.05106e8i −0.318651 + 0.0727300i
\(335\) −3.54671e9 + 2.82841e9i −0.281609 + 0.224576i
\(336\) 1.64290e9 7.19802e9i 0.128900 0.564750i
\(337\) 2.18491e10 1.69401 0.847003 0.531589i \(-0.178405\pi\)
0.847003 + 0.531589i \(0.178405\pi\)
\(338\) 6.50642e9i 0.498511i
\(339\) −7.67658e9 + 3.36333e10i −0.581258 + 2.54666i
\(340\) −2.44876e9 1.95282e9i −0.183244 0.146132i
\(341\) 1.98517e10 + 9.56008e9i 1.46818 + 0.707040i
\(342\) 1.73627e10 8.36141e9i 1.26915 0.611189i
\(343\) 5.41329e9i 0.391097i
\(344\) −1.26131e10 + 1.61227e9i −0.900716 + 0.115134i
\(345\) −5.25356e9 −0.370832
\(346\) −1.91382e9 3.97410e9i −0.133536 0.277290i
\(347\) −8.01329e9 + 1.66398e10i −0.552705 + 1.14770i 0.418226 + 0.908343i \(0.362652\pi\)
−0.970931 + 0.239360i \(0.923062\pi\)
\(348\) 1.69491e9 2.12535e9i 0.115566 0.144915i
\(349\) −2.17301e10 4.95976e9i −1.46474 0.334317i −0.585490 0.810680i \(-0.699098\pi\)
−0.879249 + 0.476362i \(0.841955\pi\)
\(350\) −4.68601e9 −0.312271
\(351\) 1.72298e10i 1.13514i
\(352\) −2.30973e10 5.27180e9i −1.50449 0.343391i
\(353\) −5.07298e9 6.36131e9i −0.326711 0.409683i 0.591164 0.806551i \(-0.298668\pi\)
−0.917876 + 0.396868i \(0.870097\pi\)
\(354\) 3.24148e9 + 1.42018e10i 0.206410 + 0.904340i
\(355\) 1.25735e10 + 1.57667e10i 0.791670 + 0.992722i
\(356\) −9.11791e9 1.89335e10i −0.567669 1.17878i
\(357\) 3.59252e9 1.57399e10i 0.221170 0.969010i
\(358\) 3.05291e8 1.47021e8i 0.0185858 0.00895047i
\(359\) 1.63932e10 2.05565e10i 0.986932 1.23757i 0.0155918 0.999878i \(-0.495037\pi\)
0.971340 0.237695i \(-0.0763918\pi\)
\(360\) −3.99863e9 1.75192e10i −0.238068 1.04305i
\(361\) 7.99462e9 + 3.50267e10i 0.470727 + 2.06239i
\(362\) 5.68307e9 1.18010e10i 0.330940 0.687204i
\(363\) −2.62101e10 2.09018e10i −1.50953 1.20381i
\(364\) −2.07759e10 + 1.65682e10i −1.18346 + 0.943780i
\(365\) 1.01267e10 + 4.87676e9i 0.570553 + 0.274764i
\(366\) 3.07646e9 6.38833e9i 0.171446 0.356011i
\(367\) 2.91558e9 + 3.65602e9i 0.160717 + 0.201532i 0.855669 0.517523i \(-0.173146\pi\)
−0.694952 + 0.719056i \(0.744575\pi\)
\(368\) 8.34984e8 1.04704e9i 0.0455289 0.0570914i
\(369\) −2.28898e10 1.10231e10i −1.23463 0.594566i
\(370\) 1.58054e9 3.60749e8i 0.0843334 0.0192485i
\(371\) 2.61936e10 5.97851e9i 1.38261 0.315571i
\(372\) −1.87497e10 1.49524e10i −0.979090 0.780798i
\(373\) 1.16931e10 + 2.42809e10i 0.604079 + 1.25438i 0.948859 + 0.315699i \(0.102239\pi\)
−0.344780 + 0.938683i \(0.612047\pi\)
\(374\) −6.24719e9 1.42588e9i −0.319300 0.0728781i
\(375\) 3.06526e10 1.47615e10i 1.55004 0.746459i
\(376\) 1.37665e10 1.09785e10i 0.688769 0.549275i
\(377\) −4.44864e9 + 1.01537e9i −0.220222 + 0.0502643i
\(378\) 1.02992e10 8.21334e9i 0.504471 0.402302i
\(379\) 2.31511e9 1.01432e10i 0.112206 0.491605i −0.887330 0.461135i \(-0.847442\pi\)
0.999536 0.0304700i \(-0.00970041\pi\)
\(380\) 2.06848e10 0.992011
\(381\) 5.78997e10i 2.74775i
\(382\) −2.38510e9 + 1.04498e10i −0.112009 + 0.490743i
\(383\) −5.94058e9 4.73745e9i −0.276079 0.220166i 0.475655 0.879632i \(-0.342211\pi\)
−0.751734 + 0.659466i \(0.770782\pi\)
\(384\) 2.72128e10 + 1.31050e10i 1.25155 + 0.602715i
\(385\) −3.45039e10 + 1.66162e10i −1.57045 + 0.756290i
\(386\) 9.43339e9i 0.424931i
\(387\) 2.90094e10 + 1.76290e10i 1.29329 + 0.785932i
\(388\) 1.59856e10 0.705347
\(389\) 1.09355e10 + 2.27078e10i 0.477574 + 0.991693i 0.991038 + 0.133581i \(0.0426477\pi\)
−0.513464 + 0.858111i \(0.671638\pi\)
\(390\) −9.11239e9 + 1.89221e10i −0.393889 + 0.817919i
\(391\) 1.82585e9 2.28955e9i 0.0781194 0.0979587i
\(392\) −2.63418e10 6.01233e9i −1.11558 0.254624i
\(393\) −4.41818e10 −1.85214
\(394\) 4.76640e9i 0.197791i
\(395\) 2.05800e10 + 4.69726e9i 0.845391 + 0.192955i
\(396\) 2.49460e10 + 3.12813e10i 1.01443 + 1.27205i
\(397\) −7.25565e9 3.17891e10i −0.292088 1.27972i −0.881613 0.471973i \(-0.843542\pi\)
0.589525 0.807750i \(-0.299315\pi\)
\(398\) 7.04180e9 + 8.83014e9i 0.280641 + 0.351913i
\(399\) 4.62615e10 + 9.60631e10i 1.82528 + 3.79022i
\(400\) −5.45334e8 + 2.38926e9i −0.0213021 + 0.0933307i
\(401\) 8.52286e9 4.10440e9i 0.329616 0.158735i −0.261755 0.965134i \(-0.584301\pi\)
0.591371 + 0.806400i \(0.298587\pi\)
\(402\) 6.29817e9 7.89765e9i 0.241163 0.302408i
\(403\) 8.95754e9 + 3.92456e10i 0.339601 + 1.48789i
\(404\) 1.62324e9 + 7.11188e9i 0.0609337 + 0.266968i
\(405\) 2.02743e9 4.21000e9i 0.0753573 0.156481i
\(406\) −2.72758e9 2.17518e9i −0.100386 0.0800553i
\(407\) −6.73144e9 + 5.36814e9i −0.245319 + 0.195635i
\(408\) 1.49880e10 + 7.21786e9i 0.540884 + 0.260476i
\(409\) 1.00021e10 2.07696e10i 0.357437 0.742225i −0.642269 0.766479i \(-0.722007\pi\)
0.999706 + 0.0242545i \(0.00772120\pi\)
\(410\) 6.54975e9 + 8.21313e9i 0.231787 + 0.290652i
\(411\) 2.41518e10 3.02854e10i 0.846414 1.06137i
\(412\) 3.93918e9 + 1.89701e9i 0.136715 + 0.0658386i
\(413\) −4.73122e10 + 1.07987e10i −1.62620 + 0.371169i
\(414\) 6.86732e9 1.56742e9i 0.233768 0.0533561i
\(415\) −1.63632e10 1.30492e10i −0.551665 0.439938i
\(416\) −1.87798e10 3.89967e10i −0.627073 1.30213i
\(417\) −1.46498e10 3.34373e9i −0.484494 0.110583i
\(418\) 3.81277e10 1.83613e10i 1.24892 0.601449i
\(419\) 2.93910e8 2.34386e8i 0.00953584 0.00760458i −0.618710 0.785619i \(-0.712345\pi\)
0.628246 + 0.778015i \(0.283773\pi\)
\(420\) 4.06372e10 9.27517e9i 1.30595 0.298074i
\(421\) −2.32195e10 + 1.85169e10i −0.739135 + 0.589441i −0.919003 0.394250i \(-0.871004\pi\)
0.179868 + 0.983691i \(0.442433\pi\)
\(422\) −2.04973e9 + 8.98044e9i −0.0646318 + 0.283170i
\(423\) −4.70066e10 −1.46824
\(424\) 2.76840e10i 0.856575i
\(425\) −1.19248e9 + 5.22459e9i −0.0365506 + 0.160139i
\(426\) −3.51086e10 2.79982e10i −1.06604 0.850142i
\(427\) 2.12822e10 + 1.02490e10i 0.640184 + 0.308296i
\(428\) 1.34895e10 6.49619e9i 0.401994 0.193590i
\(429\) 1.11537e11i 3.29299i
\(430\) −7.64442e9 1.17720e10i −0.223599 0.344331i
\(431\) 1.10176e10 0.319285 0.159642 0.987175i \(-0.448966\pi\)
0.159642 + 0.987175i \(0.448966\pi\)
\(432\) −2.98918e9 6.20709e9i −0.0858256 0.178219i
\(433\) 6.84937e9 1.42229e10i 0.194849 0.404609i −0.780538 0.625109i \(-0.785055\pi\)
0.975387 + 0.220500i \(0.0707689\pi\)
\(434\) −1.91893e10 + 2.40626e10i −0.540878 + 0.678239i
\(435\) 6.97800e9 + 1.59268e9i 0.194883 + 0.0444807i
\(436\) −3.37865e10 −0.934970
\(437\) 1.93399e10i 0.530309i
\(438\) −2.44007e10 5.56931e9i −0.662989 0.151323i
\(439\) −2.12389e10 2.66328e10i −0.571840 0.717065i 0.408857 0.912599i \(-0.365928\pi\)
−0.980697 + 0.195534i \(0.937356\pi\)
\(440\) −8.78084e9 3.84714e10i −0.234275 1.02642i
\(441\) 4.49727e10 + 5.63940e10i 1.18903 + 1.49100i
\(442\) −5.07944e9 1.05476e10i −0.133084 0.276352i
\(443\) −1.48570e10 + 6.50926e10i −0.385758 + 1.69012i 0.293291 + 0.956023i \(0.405249\pi\)
−0.679049 + 0.734093i \(0.737608\pi\)
\(444\) 8.44301e9 4.06594e9i 0.217253 0.104623i
\(445\) 3.44978e10 4.32589e10i 0.879735 1.10315i
\(446\) 4.11886e9 + 1.80459e10i 0.104097 + 0.456078i
\(447\) 5.01338e9 + 2.19651e10i 0.125574 + 0.550177i
\(448\) 7.97209e9 1.65542e10i 0.197907 0.410957i
\(449\) 5.11964e10 + 4.08278e10i 1.25966 + 1.00455i 0.999237 + 0.0390534i \(0.0124343\pi\)
0.260425 + 0.965494i \(0.416137\pi\)
\(450\) −1.00779e10 + 8.03687e9i −0.245765 + 0.195991i
\(451\) −5.02651e10 2.42064e10i −1.21495 0.585091i
\(452\) 2.15415e10 4.47314e10i 0.516086 1.07166i
\(453\) −1.38066e10 1.73129e10i −0.327863 0.411127i
\(454\) −6.97546e9 + 8.74695e9i −0.164191 + 0.205889i
\(455\) −6.30373e10 3.03572e10i −1.47079 0.708297i
\(456\) −1.07109e11 + 2.44469e10i −2.47723 + 0.565412i
\(457\) −4.04998e10 + 9.24382e9i −0.928514 + 0.211927i −0.659928 0.751328i \(-0.729413\pi\)
−0.268586 + 0.963256i \(0.586556\pi\)
\(458\) 1.92117e10 + 1.53209e10i 0.436621 + 0.348194i
\(459\) −6.53642e9 1.35730e10i −0.147261 0.305792i
\(460\) 7.37109e9 + 1.68240e9i 0.164627 + 0.0375750i
\(461\) 3.07766e10 1.48212e10i 0.681423 0.328156i −0.0609517 0.998141i \(-0.519414\pi\)
0.742375 + 0.669985i \(0.233699\pi\)
\(462\) 6.66721e10 5.31692e10i 1.46344 1.16706i
\(463\) −7.23663e10 + 1.65171e10i −1.57475 + 0.359427i −0.918596 0.395198i \(-0.870676\pi\)
−0.656157 + 0.754625i \(0.727819\pi\)
\(464\) −1.42648e9 + 1.13758e9i −0.0307747 + 0.0245420i
\(465\) 1.40505e10 6.15594e10i 0.300525 1.31669i
\(466\) 1.59208e10 0.337615
\(467\) 7.95977e10i 1.67353i 0.547563 + 0.836764i \(0.315556\pi\)
−0.547563 + 0.836764i \(0.684444\pi\)
\(468\) −1.62657e10 + 7.12646e10i −0.339069 + 1.48556i
\(469\) 2.63104e10 + 2.09818e10i 0.543795 + 0.433662i
\(470\) 1.75119e10 + 8.43327e9i 0.358873 + 0.172824i
\(471\) −1.35741e11 + 6.53693e10i −2.75821 + 1.32828i
\(472\) 5.00043e10i 1.00749i
\(473\) 6.37035e10 + 3.87127e10i 1.27268 + 0.773408i
\(474\) −4.70052e10 −0.931178
\(475\) −1.53558e10 3.18866e10i −0.301645 0.626373i
\(476\) −1.00811e10 + 2.09336e10i −0.196372 + 0.407771i
\(477\) 4.60792e10 5.77816e10i 0.890086 1.11613i
\(478\) −6.70486e9 1.53034e9i −0.128434 0.0293141i
\(479\) 3.06192e10 0.581636 0.290818 0.956778i \(-0.406073\pi\)
0.290818 + 0.956778i \(0.406073\pi\)
\(480\) 6.78925e10i 1.27896i
\(481\) −1.53355e10 3.50022e9i −0.286495 0.0653906i
\(482\) −2.08642e10 2.61629e10i −0.386557 0.484727i
\(483\) 8.67213e9 + 3.79951e10i 0.159345 + 0.698134i
\(484\) 3.00808e10 + 3.77202e10i 0.548161 + 0.687373i
\(485\) 1.82618e10 + 3.79211e10i 0.330048 + 0.685352i
\(486\) −7.64343e9 + 3.34880e10i −0.137007 + 0.600267i
\(487\) 9.36566e9 4.51026e9i 0.166503 0.0801837i −0.348776 0.937206i \(-0.613403\pi\)
0.515279 + 0.857022i \(0.327688\pi\)
\(488\) −1.51755e10 + 1.90295e10i −0.267586 + 0.335542i
\(489\) −2.29875e10 1.00715e11i −0.402028 1.76140i
\(490\) −6.63672e9 2.90774e10i −0.115125 0.504395i
\(491\) 2.89652e10 6.01468e10i 0.498368 1.03487i −0.488383 0.872630i \(-0.662413\pi\)
0.986751 0.162243i \(-0.0518728\pi\)
\(492\) 4.74747e10 + 3.78598e10i 0.810218 + 0.646127i
\(493\) −3.11928e9 + 2.48754e9i −0.0528040 + 0.0421098i
\(494\) 6.96578e10 + 3.35454e10i 1.16967 + 0.563282i
\(495\) −4.57073e10 + 9.49122e10i −0.761316 + 1.58089i
\(496\) 1.00357e10 + 1.25843e10i 0.165813 + 0.207923i
\(497\) 9.32736e10 1.16961e11i 1.52874 1.91698i
\(498\) 4.19891e10 + 2.02209e10i 0.682684 + 0.328763i
\(499\) 2.02018e9 4.61094e8i 0.0325828 0.00743682i −0.206198 0.978510i \(-0.566109\pi\)
0.238781 + 0.971073i \(0.423252\pi\)
\(500\) −4.77349e10 + 1.08952e10i −0.763758 + 0.174323i
\(501\) −4.83990e10 3.85969e10i −0.768219 0.612635i
\(502\) 1.21130e10 + 2.51529e10i 0.190738 + 0.396072i
\(503\) −2.39756e10 5.47228e9i −0.374540 0.0854862i 0.0311074 0.999516i \(-0.490097\pi\)
−0.405647 + 0.914030i \(0.632954\pi\)
\(504\) −1.20102e11 + 5.78383e10i −1.86136 + 0.896382i
\(505\) −1.50164e10 + 1.19752e10i −0.230887 + 0.184127i
\(506\) 1.50804e10 3.44199e9i 0.230043 0.0525059i
\(507\) 7.74193e10 6.17399e10i 1.17170 0.934402i
\(508\) −1.85418e10 + 8.12371e10i −0.278418 + 1.21983i
\(509\) 9.61058e10 1.43179 0.715894 0.698209i \(-0.246020\pi\)
0.715894 + 0.698209i \(0.246020\pi\)
\(510\) 1.83631e10i 0.271435i
\(511\) 1.85537e10 8.12889e10i 0.272111 1.19220i
\(512\) −2.53883e10 2.02465e10i −0.369449 0.294626i
\(513\) 8.96385e10 + 4.31676e10i 1.29427 + 0.623288i
\(514\) −1.16394e10 + 5.60523e9i −0.166754 + 0.0803047i
\(515\) 1.15116e10i 0.163647i
\(516\) −5.82212e10 5.65075e10i −0.821263 0.797089i
\(517\) −1.03225e11 −1.44484
\(518\) −5.21805e9 1.08354e10i −0.0724752 0.150496i
\(519\) 2.91270e10 6.04829e10i 0.401446 0.833611i
\(520\) 4.49494e10 5.63648e10i 0.614767 0.770893i
\(521\) −3.42442e10 7.81601e9i −0.464768 0.106080i −0.0162766 0.999868i \(-0.505181\pi\)
−0.448491 + 0.893787i \(0.648038\pi\)
\(522\) −9.59664e9 −0.129252
\(523\) 1.30201e11i 1.74023i 0.492849 + 0.870115i \(0.335955\pi\)
−0.492849 + 0.870115i \(0.664045\pi\)
\(524\) 6.19900e10 + 1.41488e10i 0.822236 + 0.187670i
\(525\) −4.44659e10 5.57585e10i −0.585316 0.733963i
\(526\) −1.04507e10 4.57873e10i −0.136521 0.598139i
\(527\) 2.19449e10 + 2.75181e10i 0.284506 + 0.356759i
\(528\) −1.93505e10 4.01817e10i −0.248975 0.517003i
\(529\) 1.58528e10 6.94557e10i 0.202434 0.886922i
\(530\) −2.75327e10 + 1.32591e10i −0.348936 + 0.168039i
\(531\) −8.32308e10 + 1.04368e11i −1.04690 + 1.31277i
\(532\) −3.41447e10 1.49598e11i −0.426262 1.86757i
\(533\) −2.26807e10 9.93708e10i −0.281027 1.23126i
\(534\) −5.34575e10 + 1.11006e11i −0.657421 + 1.36515i
\(535\) 3.08205e10 + 2.45785e10i 0.376205 + 0.300013i
\(536\) −2.71103e10 + 2.16197e10i −0.328454 + 0.261933i
\(537\) 4.64632e9 + 2.23755e9i 0.0558742 + 0.0269076i
\(538\) 2.82130e10 5.85849e10i 0.336760 0.699289i
\(539\) 9.87582e10 + 1.23839e11i 1.17009 + 1.46724i
\(540\) 2.42504e10 3.04090e10i 0.285196 0.357624i
\(541\) −1.62399e9 7.82072e8i −0.0189581 0.00912973i 0.424381 0.905484i \(-0.360492\pi\)
−0.443339 + 0.896354i \(0.646206\pi\)
\(542\) −3.24642e10 + 7.40975e9i −0.376191 + 0.0858630i
\(543\) 1.94347e11 4.43583e10i 2.23551 0.510242i
\(544\) −2.95881e10 2.35958e10i −0.337849 0.269425i
\(545\) −3.85974e10 8.01482e10i −0.437493 0.908465i
\(546\) 1.51891e11 + 3.46682e10i 1.70908 + 0.390086i
\(547\) 1.31816e11 6.34791e10i 1.47237 0.709057i 0.486058 0.873927i \(-0.338435\pi\)
0.986315 + 0.164869i \(0.0527202\pi\)
\(548\) −4.35852e10 + 3.47581e10i −0.483300 + 0.385419i
\(549\) 6.33480e10 1.44588e10i 0.697338 0.159163i
\(550\) −2.21307e10 + 1.76486e10i −0.241849 + 0.192868i
\(551\) 5.86314e9 2.56881e10i 0.0636098 0.278693i
\(552\) −4.01571e10 −0.432519
\(553\) 1.56594e11i 1.67446i
\(554\) −5.43924e9 + 2.38309e10i −0.0577430 + 0.252988i
\(555\) 1.92904e10 + 1.53836e10i 0.203315 + 0.162138i
\(556\) 1.94839e10 + 9.38295e9i 0.203881 + 0.0981839i
\(557\) 1.04876e11 5.05056e10i 1.08957 0.524709i 0.199206 0.979958i \(-0.436164\pi\)
0.890364 + 0.455248i \(0.150450\pi\)
\(558\) 8.46609e10i 0.873265i
\(559\) 1.72679e10 + 1.35090e11i 0.176845 + 1.38349i
\(560\) −2.79761e10 −0.284469
\(561\) −4.23136e10 8.78651e10i −0.427198 0.887085i
\(562\) −3.62703e9 + 7.53160e9i −0.0363585 + 0.0754991i
\(563\) 3.11162e10 3.90185e10i 0.309708 0.388362i −0.602479 0.798134i \(-0.705820\pi\)
0.912188 + 0.409772i \(0.134392\pi\)
\(564\) 1.09534e11 + 2.50004e10i 1.08251 + 0.247076i
\(565\) 1.30720e11 1.28277
\(566\) 3.35723e9i 0.0327126i
\(567\) −3.37945e10 7.71337e9i −0.326974 0.0746297i
\(568\) 9.61093e10 + 1.20517e11i 0.923362 + 1.15786i
\(569\) 1.18000e10 + 5.16991e10i 0.112573 + 0.493212i 0.999509 + 0.0313217i \(0.00997164\pi\)
−0.886937 + 0.461891i \(0.847171\pi\)
\(570\) −7.56125e10 9.48150e10i −0.716298 0.898210i
\(571\) 2.93601e10 + 6.09669e10i 0.276193 + 0.573521i 0.992212 0.124560i \(-0.0397519\pi\)
−0.716019 + 0.698081i \(0.754038\pi\)
\(572\) −3.57188e10 + 1.56494e11i −0.333666 + 1.46189i
\(573\) −1.46974e11 + 7.07788e10i −1.36339 + 0.656575i
\(574\) 4.85877e10 6.09270e10i 0.447588 0.561258i
\(575\) −2.87857e9 1.26119e10i −0.0263333 0.115374i
\(576\) −1.12467e10 4.92749e10i −0.102172 0.447647i
\(577\) −3.71114e10 + 7.70627e10i −0.334815 + 0.695250i −0.998612 0.0526625i \(-0.983229\pi\)
0.663798 + 0.747912i \(0.268944\pi\)
\(578\) 3.80147e10 + 3.03157e10i 0.340597 + 0.271617i
\(579\) −1.12247e11 + 8.95141e10i −0.998760 + 0.796485i
\(580\) −9.28054e9 4.46927e9i −0.0820090 0.0394934i
\(581\) −6.73642e10 + 1.39883e11i −0.591187 + 1.22761i
\(582\) −5.84349e10 7.32751e10i −0.509308 0.638652i
\(583\) 1.01188e11 1.26886e11i 0.875902 1.09835i
\(584\) 7.74062e10 + 3.72768e10i 0.665463 + 0.320470i
\(585\) −1.87635e11 + 4.28265e10i −1.60210 + 0.365670i
\(586\) −7.96698e9 + 1.81841e9i −0.0675621 + 0.0154206i
\(587\) −3.82128e9 3.04737e9i −0.0321852 0.0256669i 0.607265 0.794499i \(-0.292267\pi\)
−0.639450 + 0.768832i \(0.720838\pi\)
\(588\) −7.48014e10 1.55327e11i −0.625750 1.29938i
\(589\) −2.26618e11 5.17242e10i −1.88293 0.429766i
\(590\) 4.97311e10 2.39492e10i 0.410412 0.197644i
\(591\) 5.67150e10 4.52287e10i 0.464888 0.370736i
\(592\) −6.13191e9 + 1.39957e9i −0.0499240 + 0.0113948i
\(593\) −4.14090e10 + 3.30226e10i −0.334870 + 0.267050i −0.776459 0.630168i \(-0.782986\pi\)
0.441589 + 0.897217i \(0.354415\pi\)
\(594\) 1.77068e10 7.75785e10i 0.142231 0.623154i
\(595\) −6.11751e10 −0.488098
\(596\) 3.24239e10i 0.256969i
\(597\) −3.82490e10 + 1.67580e11i −0.301108 + 1.31924i
\(598\) 2.20944e10 + 1.76197e10i 0.172774 + 0.137782i
\(599\) −1.22797e11 5.91361e10i −0.953853 0.459351i −0.108818 0.994062i \(-0.534706\pi\)
−0.845035 + 0.534710i \(0.820421\pi\)
\(600\) 6.62086e10 3.18844e10i 0.510869 0.246022i
\(601\) 1.27778e9i 0.00979394i 0.999988 + 0.00489697i \(0.00155876\pi\)
−0.999988 + 0.00489697i \(0.998441\pi\)
\(602\) −7.25193e10 + 7.47186e10i −0.552163 + 0.568909i
\(603\) 9.25695e10 0.700162
\(604\) 1.38272e10 + 2.87125e10i 0.103893 + 0.215736i
\(605\) −5.51156e10 + 1.14449e11i −0.411389 + 0.854259i
\(606\) 2.66658e10 3.34379e10i 0.197726 0.247941i
\(607\) 7.46213e10 + 1.70318e10i 0.549678 + 0.125460i 0.488335 0.872656i \(-0.337605\pi\)
0.0613429 + 0.998117i \(0.480462\pi\)
\(608\) 2.49933e11 1.82898
\(609\) 5.30957e10i 0.386003i
\(610\) −2.61937e10 5.97853e9i −0.189181 0.0431793i
\(611\) −1.17582e11 1.47444e11i −0.843680 1.05794i
\(612\) 1.42219e10 + 6.23104e10i 0.101380 + 0.444176i
\(613\) −1.42352e11 1.78504e11i −1.00814 1.26417i −0.964210 0.265138i \(-0.914582\pi\)
−0.0439335 0.999034i \(-0.513989\pi\)
\(614\) −4.51437e10 9.37419e10i −0.317632 0.659569i
\(615\) −3.55763e10 + 1.55870e11i −0.248691 + 1.08959i
\(616\) −2.63740e11 + 1.27010e11i −1.83169 + 0.882098i
\(617\) −1.13107e9 + 1.41832e9i −0.00780459 + 0.00978664i −0.785718 0.618584i \(-0.787707\pi\)
0.777914 + 0.628371i \(0.216278\pi\)
\(618\) −5.70401e9 2.49909e10i −0.0391045 0.171328i
\(619\) 1.88360e10 + 8.25260e10i 0.128300 + 0.562119i 0.997686 + 0.0679860i \(0.0216573\pi\)
−0.869386 + 0.494133i \(0.835486\pi\)
\(620\) −3.94276e10 + 8.18723e10i −0.266829 + 0.554077i
\(621\) 2.84319e10 + 2.26737e10i 0.191179 + 0.152460i
\(622\) −1.51242e10 + 1.20612e10i −0.101044 + 0.0805801i
\(623\) −3.69806e11 1.78089e11i −2.45483 1.18218i
\(624\) 3.53526e10 7.34105e10i 0.233176 0.484195i
\(625\) −4.29046e10 5.38007e10i −0.281180 0.352588i
\(626\) −2.37022e10 + 2.97216e10i −0.154345 + 0.193542i
\(627\) 5.80276e11 + 2.79446e11i 3.75461 + 1.80812i
\(628\) 2.11387e11 4.82477e10i 1.35906 0.310197i
\(629\) −1.34086e10 + 3.06043e9i −0.0856606 + 0.0195515i
\(630\) −1.15044e11 9.17449e10i −0.730304 0.582398i
\(631\) −3.27935e10 6.80964e10i −0.206857 0.429543i 0.771567 0.636148i \(-0.219473\pi\)
−0.978425 + 0.206604i \(0.933759\pi\)
\(632\) 1.57309e11 + 3.59048e10i 0.986020 + 0.225053i
\(633\) −1.26307e11 + 6.08265e10i −0.786709 + 0.378859i
\(634\) 6.02704e10 4.80640e10i 0.373033 0.297484i
\(635\) −2.13892e11 + 4.88195e10i −1.31553 + 0.300261i
\(636\) −1.38104e11 + 1.10134e11i −0.844069 + 0.673122i
\(637\) −6.43938e10 + 2.82128e11i −0.391099 + 1.71352i
\(638\) −2.10738e10 −0.127192
\(639\) 4.11513e11i 2.46820i
\(640\) 2.54672e10 1.11579e11i 0.151796 0.665063i
\(641\) 5.67933e10 + 4.52911e10i 0.336407 + 0.268276i 0.777093 0.629386i \(-0.216693\pi\)
−0.440686 + 0.897661i \(0.645265\pi\)
\(642\) −7.90876e10 3.80866e10i −0.465552 0.224198i
\(643\) 3.19568e10 1.53896e10i 0.186947 0.0900290i −0.338069 0.941121i \(-0.609774\pi\)
0.525016 + 0.851092i \(0.324059\pi\)
\(644\) 5.60868e10i 0.326075i
\(645\) 6.75355e10 2.02666e11i 0.390205 1.17096i
\(646\) 6.76000e10 0.388165
\(647\) 4.01967e10 + 8.34693e10i 0.229389 + 0.476332i 0.983615 0.180284i \(-0.0577016\pi\)
−0.754225 + 0.656616i \(0.771987\pi\)
\(648\) 1.54972e10 3.21803e10i 0.0878928 0.182511i
\(649\) −1.82772e11 + 2.29188e11i −1.03022 + 1.29185i
\(650\) −5.04178e10 1.15075e10i −0.282443 0.0644658i
\(651\) −4.68407e11 −2.60795
\(652\) 1.48671e11i 0.822690i
\(653\) 9.24540e10 + 2.11020e10i 0.508479 + 0.116057i 0.469061 0.883166i \(-0.344592\pi\)
0.0394181 + 0.999223i \(0.487450\pi\)
\(654\) 1.23505e11 + 1.54871e11i 0.675111 + 0.846562i
\(655\) 3.72530e10 + 1.63216e11i 0.202393 + 0.886742i
\(656\) −2.54106e10 3.18638e10i −0.137214 0.172061i
\(657\) −9.95145e10 2.06644e11i −0.534103 1.10908i
\(658\) 3.20845e10 1.40571e11i 0.171156 0.749882i
\(659\) 1.93171e11 9.30262e10i 1.02424 0.493246i 0.155141 0.987892i \(-0.450417\pi\)
0.869094 + 0.494646i \(0.164702\pi\)
\(660\) 1.56985e11 1.96853e11i 0.827338 1.03745i
\(661\) 7.33526e10 + 3.21379e11i 0.384246 + 1.68349i 0.684005 + 0.729477i \(0.260237\pi\)
−0.299759 + 0.954015i \(0.596906\pi\)
\(662\) −1.31855e10 5.77693e10i −0.0686536 0.300791i
\(663\) 7.73054e10 1.60526e11i 0.400088 0.830792i
\(664\) −1.25077e11 9.97452e10i −0.643433 0.513121i
\(665\) 3.15868e11 2.51896e11i 1.61517 1.28806i
\(666\) −2.98057e10 1.43537e10i −0.151496 0.0729568i
\(667\) 4.17870e9 8.67716e9i 0.0211124 0.0438404i
\(668\) 5.55466e10 + 6.96533e10i 0.278966 + 0.349813i
\(669\) −1.75643e11 + 2.20249e11i −0.876851 + 1.09954i
\(670\) −3.44858e10 1.66075e10i −0.171136 0.0824148i
\(671\) 1.39110e11 3.17509e10i 0.686226 0.156627i
\(672\) 4.91016e11 1.12071e11i 2.40779 0.549562i
\(673\) 1.41568e11 + 1.12897e11i 0.690090 + 0.550328i 0.904531 0.426409i \(-0.140221\pi\)
−0.214441 + 0.976737i \(0.568793\pi\)
\(674\) 7.99883e10 + 1.66097e11i 0.387603 + 0.804865i
\(675\) −6.48797e10 1.48084e10i −0.312531 0.0713332i
\(676\) −1.28396e11 + 6.18323e10i −0.614844 + 0.296093i
\(677\) −8.87729e10 + 7.07940e10i −0.422596 + 0.337009i −0.811586 0.584233i \(-0.801396\pi\)
0.388990 + 0.921242i \(0.372824\pi\)
\(678\) −2.83784e11 + 6.47719e10i −1.34298 + 0.306526i
\(679\) 2.44110e11 1.94671e11i 1.14843 0.915845i
\(680\) 1.40266e10 6.14545e10i 0.0656019 0.287421i
\(681\) −1.70270e11 −0.791680
\(682\) 1.85912e11i 0.859349i
\(683\) −6.58125e10 + 2.88343e11i −0.302430 + 1.32503i 0.564016 + 0.825764i \(0.309256\pi\)
−0.866446 + 0.499270i \(0.833601\pi\)
\(684\) −3.30004e11 2.63169e11i −1.50763 1.20229i
\(685\) −1.32244e11 6.36854e10i −0.600640 0.289253i
\(686\) −4.11519e10 + 1.98177e10i −0.185820 + 0.0894863i
\(687\) 3.73980e11i 1.67889i
\(688\) 2.96574e10 + 4.56709e10i 0.132367 + 0.203838i
\(689\) 2.96504e11 1.31569
\(690\) −1.92329e10 3.99376e10i −0.0848495 0.176192i
\(691\) 1.42584e11 2.96078e11i 0.625401 1.29866i −0.311893 0.950117i \(-0.600963\pi\)
0.937294 0.348540i \(-0.113323\pi\)
\(692\) −6.02362e10 + 7.55338e10i −0.262684 + 0.329395i
\(693\) 7.61879e11 + 1.73894e11i 3.30334 + 0.753965i
\(694\) −1.55832e11 −0.671767
\(695\) 5.69386e10i 0.244044i
\(696\) 5.33382e10 + 1.21741e10i 0.227301 + 0.0518800i
\(697\) −5.55651e10 6.96765e10i −0.235435 0.295226i
\(698\) −4.18484e10 1.83350e11i −0.176302 0.772430i
\(699\) 1.51074e11 + 1.89440e11i 0.632820 + 0.793531i
\(700\) 4.45325e10 + 9.24726e10i 0.185475 + 0.385142i
\(701\) 3.28987e10 1.44139e11i 0.136241 0.596910i −0.860001 0.510293i \(-0.829537\pi\)
0.996242 0.0866174i \(-0.0276058\pi\)
\(702\) 1.30981e11 6.30771e10i 0.539336 0.259731i
\(703\) 5.66316e10 7.10138e10i 0.231866 0.290751i
\(704\) −2.46972e10 1.08206e11i −0.100544 0.440513i
\(705\) 6.58245e10 + 2.88396e11i 0.266460 + 1.16744i
\(706\) 2.97869e10 6.18532e10i 0.119897 0.248968i
\(707\) 1.11395e11 + 8.88348e10i 0.445851 + 0.355554i
\(708\) 2.49451e11 1.98930e11i 0.992778 0.791714i
\(709\) 1.09639e11 + 5.27994e10i 0.433891 + 0.208951i 0.638063 0.769984i \(-0.279736\pi\)
−0.204172 + 0.978935i \(0.565450\pi\)
\(710\) −7.38278e10 + 1.53305e11i −0.290527 + 0.603286i
\(711\) −2.68570e11 3.36777e11i −1.05094 1.31784i
\(712\) 2.63694e11 3.30661e11i 1.02608 1.28666i
\(713\) −7.65493e10 3.68642e10i −0.296199 0.142642i
\(714\) 1.32807e11 3.03122e10i 0.511007 0.116634i
\(715\) −4.12039e11 + 9.40453e10i −1.57657 + 0.359843i
\(716\) −5.80253e9 4.62737e9i −0.0220783 0.0176069i
\(717\) −4.54135e10 9.43022e10i −0.171834 0.356817i
\(718\) 2.16285e11 + 4.93657e10i 0.813821 + 0.185749i
\(719\) 5.81417e10 2.79996e10i 0.217557 0.104770i −0.321931 0.946763i \(-0.604332\pi\)
0.539488 + 0.841993i \(0.318618\pi\)
\(720\) −6.01664e10 + 4.79811e10i −0.223884 + 0.178542i
\(721\) 8.32550e10 1.90024e10i 0.308084 0.0703182i
\(722\) −2.37006e11 + 1.89006e11i −0.872188 + 0.695546i
\(723\) 1.13328e11 4.96523e11i 0.414748 1.81713i
\(724\) −2.86886e11 −1.04413
\(725\) 1.76243e10i 0.0637909i
\(726\) 6.29426e10 2.75770e11i 0.226568 0.992658i
\(727\) −1.90219e10 1.51695e10i −0.0680953 0.0543042i 0.588851 0.808242i \(-0.299581\pi\)
−0.656946 + 0.753938i \(0.728152\pi\)
\(728\) −4.81843e11 2.32043e11i −1.71546 0.826121i
\(729\) −4.14234e11 + 1.99485e11i −1.46668 + 0.706316i
\(730\) 9.48367e10i 0.333953i
\(731\) 6.48517e10 + 9.98682e10i 0.227118 + 0.349750i
\(732\) −1.55302e11 −0.540920
\(733\) −9.73765e9 2.02204e10i −0.0337317 0.0700446i 0.883422 0.468578i \(-0.155234\pi\)
−0.917154 + 0.398534i \(0.869519\pi\)
\(734\) −1.71194e10 + 3.55488e10i −0.0589799 + 0.122473i
\(735\) 2.83013e11 3.54887e11i 0.969744 1.21602i
\(736\) 8.90643e10 + 2.03284e10i 0.303524 + 0.0692773i
\(737\) 2.03279e11 0.689004
\(738\) 2.14364e11i 0.722646i
\(739\) −1.85249e11 4.22819e10i −0.621124 0.141768i −0.0996331 0.995024i \(-0.531767\pi\)
−0.521491 + 0.853257i \(0.674624\pi\)
\(740\) −2.21393e10 2.77618e10i −0.0738306 0.0925806i
\(741\) 2.61834e11 + 1.14717e12i 0.868466 + 3.80500i
\(742\) 1.41342e11 + 1.77237e11i 0.466288 + 0.584707i
\(743\) −1.94432e11 4.03742e11i −0.637988 1.32480i −0.929710 0.368293i \(-0.879942\pi\)
0.291722 0.956503i \(-0.405772\pi\)
\(744\) 1.07399e11 4.70546e11i 0.350517 1.53571i
\(745\) 7.69158e10 3.70407e10i 0.249684 0.120241i
\(746\) −1.41776e11 + 1.77782e11i −0.457771 + 0.574027i
\(747\) 9.50344e10 + 4.16373e11i 0.305210 + 1.33721i
\(748\) 3.12308e10 + 1.36831e11i 0.0997646 + 0.437097i
\(749\) 1.26882e11 2.63474e11i 0.403156 0.837163i
\(750\) 2.24434e11 + 1.78981e11i 0.709324 + 0.565667i
\(751\) −2.91124e11 + 2.32163e11i −0.915203 + 0.729850i −0.963140 0.269000i \(-0.913307\pi\)
0.0479369 + 0.998850i \(0.484735\pi\)
\(752\) −6.79394e10 3.27179e10i −0.212447 0.102309i
\(753\) −1.84351e11 + 3.82810e11i −0.573412 + 1.19070i
\(754\) −2.40050e10 3.01014e10i −0.0742706 0.0931324i
\(755\) −5.23156e10 + 6.56017e10i −0.161007 + 0.201896i
\(756\) −2.59956e11 1.25188e11i