Properties

Label 43.9.f.a.2.12
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 2.12
Character \(\chi\) \(=\) 43.2
Dual form 43.9.f.a.22.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.74733 - 7.78141i) q^{2} +(23.1343 - 48.0389i) q^{3} +(113.106 - 141.830i) q^{4} +(-1134.95 - 259.044i) q^{5} -460.503 q^{6} +3469.08i q^{7} +(-3683.04 - 840.631i) q^{8} +(2318.17 + 2906.90i) q^{9} +O(q^{10})\) \(q+(-3.74733 - 7.78141i) q^{2} +(23.1343 - 48.0389i) q^{3} +(113.106 - 141.830i) q^{4} +(-1134.95 - 259.044i) q^{5} -460.503 q^{6} +3469.08i q^{7} +(-3683.04 - 840.631i) q^{8} +(2318.17 + 2906.90i) q^{9} +(2237.29 + 9802.22i) q^{10} +(3830.44 + 4803.22i) q^{11} +(-4196.74 - 8714.61i) q^{12} +(-115.856 + 507.598i) q^{13} +(26994.3 - 12999.8i) q^{14} +(-38700.5 + 48528.9i) q^{15} +(-3073.64 - 13466.5i) q^{16} +(-15894.9 - 69640.1i) q^{17} +(13932.8 - 28931.8i) q^{18} +(41766.5 + 33307.7i) q^{19} +(-165109. + 131670. i) q^{20} +(166651. + 80254.8i) q^{21} +(23021.9 - 47805.5i) q^{22} +(57084.2 + 71581.3i) q^{23} +(-125588. + 157482. i) q^{24} +(869061. + 418518. i) q^{25} +(4383.97 - 1000.61i) q^{26} +(534330. - 121957. i) q^{27} +(492019. + 392372. i) q^{28} +(11148.1 + 23149.3i) q^{29} +(522646. + 119291. i) q^{30} +(-1.53774e6 + 740535. i) q^{31} +(-849385. + 677362. i) q^{32} +(319356. - 72891.0i) q^{33} +(-482335. + 384649. i) q^{34} +(898646. - 3.93722e6i) q^{35} +674483. q^{36} +2.51256e6i q^{37} +(102668. - 449817. i) q^{38} +(21704.2 + 17308.5i) q^{39} +(3.96230e6 + 1.90814e6i) q^{40} +(-1.47521e6 + 710424. i) q^{41} -1.59752e6i q^{42} +(-524572. + 3.37832e6i) q^{43} +1.11448e6 q^{44} +(-1.87799e6 - 3.89969e6i) q^{45} +(343090. - 712434. i) q^{46} +(-3.16054e6 + 3.96320e6i) q^{47} +(-718024. - 163884. i) q^{48} -6.26971e6 q^{49} -8.33085e6i q^{50} +(-3.71316e6 - 847504. i) q^{51} +(58888.6 + 73843.9i) q^{52} +(1.11465e6 + 4.88360e6i) q^{53} +(-2.95131e6 - 3.70083e6i) q^{54} +(-3.10310e6 - 6.44366e6i) q^{55} +(2.91621e6 - 1.27768e7i) q^{56} +(2.56631e6 - 1.23587e6i) q^{57} +(138358. - 173496. i) q^{58} +(-4.67663e6 - 2.04896e7i) q^{59} +(2.50560e6 + 1.09778e7i) q^{60} +(-6.02645e6 + 1.25140e7i) q^{61} +(1.15248e7 + 9.19073e6i) q^{62} +(-1.00843e7 + 8.04193e6i) q^{63} +(5.26785e6 + 2.53686e6i) q^{64} +(262981. - 546085. i) q^{65} +(-1.76393e6 - 2.21190e6i) q^{66} +(1.38455e7 - 1.73617e7i) q^{67} +(-1.16749e7 - 5.62231e6i) q^{68} +(4.75930e6 - 1.08628e6i) q^{69} +(-3.40047e7 + 7.76134e6i) q^{70} +(2.99306e7 + 2.38688e7i) q^{71} +(-6.09431e6 - 1.26550e7i) q^{72} +(-7.01730e6 - 1.60165e6i) q^{73} +(1.95513e7 - 9.41540e6i) q^{74} +(4.02103e7 - 3.20667e7i) q^{75} +(9.44805e6 - 2.15645e6i) q^{76} +(-1.66628e7 + 1.32881e7i) q^{77} +(53351.9 - 233750. i) q^{78} -4.74682e7 q^{79} +1.60800e7i q^{80} +(1.07445e6 - 4.70747e6i) q^{81} +(1.10562e7 + 8.81702e6i) q^{82} +(-3.10212e7 - 1.49390e7i) q^{83} +(3.02317e7 - 1.45588e7i) q^{84} +8.31554e7i q^{85} +(2.82538e7 - 8.57775e6i) q^{86} +1.36997e6 q^{87} +(-1.00699e7 - 2.09105e7i) q^{88} +(-2.33803e7 + 4.85497e7i) q^{89} +(-2.33076e7 + 2.92268e7i) q^{90} +(-1.76090e6 - 401913. i) q^{91} +1.66089e7 q^{92} +9.10030e7i q^{93} +(4.26828e7 + 9.74208e6i) q^{94} +(-3.87746e7 - 4.86218e7i) q^{95} +(1.28898e7 + 5.64739e7i) q^{96} +(1.09768e8 + 1.37645e8i) q^{97} +(2.34947e7 + 4.87872e7i) q^{98} +(-5.08285e6 + 2.22694e7i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.74733 7.78141i −0.234208 0.486338i 0.750429 0.660951i \(-0.229847\pi\)
−0.984637 + 0.174613i \(0.944133\pi\)
\(3\) 23.1343 48.0389i 0.285609 0.593073i −0.707966 0.706246i \(-0.750387\pi\)
0.993575 + 0.113173i \(0.0361014\pi\)
\(4\) 113.106 141.830i 0.441819 0.554023i
\(5\) −1134.95 259.044i −1.81592 0.414471i −0.826909 0.562336i \(-0.809903\pi\)
−0.989008 + 0.147865i \(0.952760\pi\)
\(6\) −460.503 −0.355326
\(7\) 3469.08i 1.44485i 0.691451 + 0.722424i \(0.256972\pi\)
−0.691451 + 0.722424i \(0.743028\pi\)
\(8\) −3683.04 840.631i −0.899181 0.205232i
\(9\) 2318.17 + 2906.90i 0.353326 + 0.443057i
\(10\) 2237.29 + 9802.22i 0.223729 + 0.980222i
\(11\) 3830.44 + 4803.22i 0.261624 + 0.328067i 0.895242 0.445579i \(-0.147002\pi\)
−0.633618 + 0.773646i \(0.718431\pi\)
\(12\) −4196.74 8714.61i −0.202389 0.420265i
\(13\) −115.856 + 507.598i −0.00405644 + 0.0177724i −0.976916 0.213625i \(-0.931473\pi\)
0.972859 + 0.231398i \(0.0743299\pi\)
\(14\) 26994.3 12999.8i 0.702684 0.338395i
\(15\) −38700.5 + 48528.9i −0.764454 + 0.958595i
\(16\) −3073.64 13466.5i −0.0469001 0.205483i
\(17\) −15894.9 69640.1i −0.190310 0.833804i −0.976448 0.215752i \(-0.930780\pi\)
0.786138 0.618051i \(-0.212078\pi\)
\(18\) 13932.8 28931.8i 0.132724 0.275604i
\(19\) 41766.5 + 33307.7i 0.320489 + 0.255582i 0.770498 0.637442i \(-0.220008\pi\)
−0.450009 + 0.893024i \(0.648579\pi\)
\(20\) −165109. + 131670.i −1.03193 + 0.822938i
\(21\) 166651. + 80254.8i 0.856901 + 0.412662i
\(22\) 23021.9 47805.5i 0.0982767 0.204074i
\(23\) 57084.2 + 71581.3i 0.203988 + 0.255793i 0.873294 0.487194i \(-0.161980\pi\)
−0.669306 + 0.742987i \(0.733408\pi\)
\(24\) −125588. + 157482.i −0.378532 + 0.474664i
\(25\) 869061. + 418518.i 2.22480 + 1.07141i
\(26\) 4383.97 1000.61i 0.00959344 0.00218964i
\(27\) 534330. 121957.i 1.00544 0.229484i
\(28\) 492019. + 392372.i 0.800479 + 0.638360i
\(29\) 11148.1 + 23149.3i 0.0157619 + 0.0327300i 0.908701 0.417447i \(-0.137075\pi\)
−0.892939 + 0.450177i \(0.851361\pi\)
\(30\) 522646. + 119291.i 0.645242 + 0.147272i
\(31\) −1.53774e6 + 740535.i −1.66508 + 0.801860i −0.666678 + 0.745345i \(0.732285\pi\)
−0.998402 + 0.0565149i \(0.982001\pi\)
\(32\) −849385. + 677362.i −0.810036 + 0.645983i
\(33\) 319356. 72891.0i 0.269290 0.0614636i
\(34\) −482335. + 384649.i −0.360938 + 0.287839i
\(35\) 898646. 3.93722e6i 0.598848 2.62372i
\(36\) 674483. 0.401570
\(37\) 2.51256e6i 1.34063i 0.742075 + 0.670317i \(0.233842\pi\)
−0.742075 + 0.670317i \(0.766158\pi\)
\(38\) 102668. 449817.i 0.0492379 0.215725i
\(39\) 21704.2 + 17308.5i 0.00938178 + 0.00748172i
\(40\) 3.96230e6 + 1.90814e6i 1.54777 + 0.745369i
\(41\) −1.47521e6 + 710424.i −0.522058 + 0.251410i −0.676304 0.736623i \(-0.736419\pi\)
0.154246 + 0.988032i \(0.450705\pi\)
\(42\) 1.59752e6i 0.513392i
\(43\) −524572. + 3.37832e6i −0.153437 + 0.988158i
\(44\) 1.11448e6 0.297347
\(45\) −1.87799e6 3.89969e6i −0.457977 0.950998i
\(46\) 343090. 712434.i 0.0766261 0.159116i
\(47\) −3.16054e6 + 3.96320e6i −0.647695 + 0.812184i −0.991942 0.126696i \(-0.959563\pi\)
0.344247 + 0.938879i \(0.388134\pi\)
\(48\) −718024. 163884.i −0.135261 0.0308725i
\(49\) −6.26971e6 −1.08758
\(50\) 8.33085e6i 1.33294i
\(51\) −3.71316e6 847504.i −0.548861 0.125274i
\(52\) 58888.6 + 73843.9i 0.00805411 + 0.0100995i
\(53\) 1.11465e6 + 4.88360e6i 0.141265 + 0.618922i 0.995142 + 0.0984479i \(0.0313878\pi\)
−0.853877 + 0.520475i \(0.825755\pi\)
\(54\) −2.95131e6 3.70083e6i −0.347088 0.435235i
\(55\) −3.10310e6 6.44366e6i −0.339114 0.704177i
\(56\) 2.91621e6 1.27768e7i 0.296529 1.29918i
\(57\) 2.56631e6 1.23587e6i 0.243113 0.117077i
\(58\) 138358. 173496.i 0.0122263 0.0153312i
\(59\) −4.67663e6 2.04896e7i −0.385945 1.69093i −0.678431 0.734664i \(-0.737340\pi\)
0.292487 0.956270i \(-0.405517\pi\)
\(60\) 2.50560e6 + 1.09778e7i 0.193334 + 0.847050i
\(61\) −6.02645e6 + 1.25140e7i −0.435253 + 0.903813i 0.561813 + 0.827264i \(0.310104\pi\)
−0.997066 + 0.0765481i \(0.975610\pi\)
\(62\) 1.15248e7 + 9.19073e6i 0.779950 + 0.621990i
\(63\) −1.00843e7 + 8.04193e6i −0.640150 + 0.510503i
\(64\) 5.26785e6 + 2.53686e6i 0.313988 + 0.151209i
\(65\) 262981. 546085.i 0.0147323 0.0305919i
\(66\) −1.76393e6 2.21190e6i −0.0929619 0.116571i
\(67\) 1.38455e7 1.73617e7i 0.687081 0.861572i −0.308904 0.951093i \(-0.599962\pi\)
0.995985 + 0.0895208i \(0.0285336\pi\)
\(68\) −1.16749e7 5.62231e6i −0.546029 0.262954i
\(69\) 4.75930e6 1.08628e6i 0.209965 0.0479231i
\(70\) −3.40047e7 + 7.76134e6i −1.41627 + 0.323255i
\(71\) 2.99306e7 + 2.38688e7i 1.17783 + 0.939286i 0.999005 0.0445953i \(-0.0141998\pi\)
0.178822 + 0.983881i \(0.442771\pi\)
\(72\) −6.09431e6 1.26550e7i −0.226775 0.470902i
\(73\) −7.01730e6 1.60165e6i −0.247103 0.0563997i 0.0971752 0.995267i \(-0.469019\pi\)
−0.344278 + 0.938868i \(0.611876\pi\)
\(74\) 1.95513e7 9.41540e6i 0.652001 0.313987i
\(75\) 4.02103e7 3.20667e7i 1.27084 1.01346i
\(76\) 9.44805e6 2.15645e6i 0.283196 0.0646377i
\(77\) −1.66628e7 + 1.32881e7i −0.474006 + 0.378007i
\(78\) 53351.9 233750.i 0.00144136 0.00631500i
\(79\) −4.74682e7 −1.21869 −0.609347 0.792904i \(-0.708568\pi\)
−0.609347 + 0.792904i \(0.708568\pi\)
\(80\) 1.60800e7i 0.392578i
\(81\) 1.07445e6 4.70747e6i 0.0249601 0.109357i
\(82\) 1.10562e7 + 8.81702e6i 0.244540 + 0.195014i
\(83\) −3.10212e7 1.49390e7i −0.653652 0.314782i 0.0775045 0.996992i \(-0.475305\pi\)
−0.731156 + 0.682210i \(0.761019\pi\)
\(84\) 3.02317e7 1.45588e7i 0.607219 0.292421i
\(85\) 8.31554e7i 1.59300i
\(86\) 2.82538e7 8.57775e6i 0.516515 0.156812i
\(87\) 1.36997e6 0.0239130
\(88\) −1.00699e7 2.09105e7i −0.167918 0.348685i
\(89\) −2.33803e7 + 4.85497e7i −0.372641 + 0.773796i −0.999988 0.00494353i \(-0.998426\pi\)
0.627347 + 0.778740i \(0.284141\pi\)
\(90\) −2.33076e7 + 2.92268e7i −0.355245 + 0.445463i
\(91\) −1.76090e6 401913.i −0.0256784 0.00586093i
\(92\) 1.66089e7 0.231841
\(93\) 9.10030e7i 1.21653i
\(94\) 4.26828e7 + 9.74208e6i 0.546691 + 0.124779i
\(95\) −3.87746e7 4.86218e7i −0.476051 0.596949i
\(96\) 1.28898e7 + 5.64739e7i 0.151761 + 0.664910i
\(97\) 1.09768e8 + 1.37645e8i 1.23991 + 1.55480i 0.703091 + 0.711100i \(0.251803\pi\)
0.536819 + 0.843698i \(0.319626\pi\)
\(98\) 2.34947e7 + 4.87872e7i 0.254721 + 0.528934i
\(99\) −5.08285e6 + 2.22694e7i −0.0529135 + 0.231829i
\(100\) 1.57654e8 7.59222e7i 1.57654 0.759222i
\(101\) 1.30587e7 1.63751e7i 0.125492 0.157362i −0.715116 0.699005i \(-0.753626\pi\)
0.840608 + 0.541644i \(0.182198\pi\)
\(102\) 7.31964e6 + 3.20695e7i 0.0676222 + 0.296272i
\(103\) −1.90782e7 8.35872e7i −0.169508 0.742661i −0.986196 0.165582i \(-0.947050\pi\)
0.816688 0.577079i \(-0.195808\pi\)
\(104\) 853404. 1.77211e6i 0.00729493 0.0151481i
\(105\) −1.68350e8 1.34255e8i −1.38502 1.10452i
\(106\) 3.38243e7 2.69740e7i 0.267920 0.213659i
\(107\) −1.49857e7 7.21675e6i −0.114326 0.0550563i 0.375847 0.926682i \(-0.377352\pi\)
−0.490172 + 0.871626i \(0.663066\pi\)
\(108\) 4.31385e7 8.95780e7i 0.317081 0.658425i
\(109\) −1.38276e8 1.73392e8i −0.979581 1.22836i −0.973574 0.228373i \(-0.926659\pi\)
−0.00600716 0.999982i \(-0.501912\pi\)
\(110\) −3.85124e7 + 4.82930e7i −0.263045 + 0.329848i
\(111\) 1.20701e8 + 5.81265e7i 0.795094 + 0.382897i
\(112\) 4.67164e7 1.06627e7i 0.296891 0.0677635i
\(113\) −2.30400e8 + 5.25874e7i −1.41309 + 0.322528i −0.859872 0.510510i \(-0.829457\pi\)
−0.553216 + 0.833038i \(0.686600\pi\)
\(114\) −1.92336e7 1.53383e7i −0.113878 0.0908149i
\(115\) −4.62448e7 9.60284e7i −0.264406 0.549045i
\(116\) 4.54417e6 + 1.03718e6i 0.0250971 + 0.00572824i
\(117\) −1.74411e6 + 839918.i −0.00930744 + 0.00448222i
\(118\) −1.41913e8 + 1.13172e8i −0.731974 + 0.583730i
\(119\) 2.41587e8 5.51407e7i 1.20472 0.274969i
\(120\) 1.83330e8 1.46201e8i 0.884117 0.705059i
\(121\) 3.93007e7 1.72188e8i 0.183341 0.803268i
\(122\) 1.19960e8 0.541498
\(123\) 8.73027e7i 0.381423i
\(124\) −6.88966e7 + 3.01856e8i −0.291414 + 1.27677i
\(125\) −5.22394e8 4.16596e8i −2.13973 1.70638i
\(126\) 1.00367e8 + 4.83340e7i 0.398205 + 0.191765i
\(127\) 2.43290e8 1.17162e8i 0.935210 0.450374i 0.0967333 0.995310i \(-0.469161\pi\)
0.838477 + 0.544937i \(0.183446\pi\)
\(128\) 2.27622e8i 0.847957i
\(129\) 1.50155e8 + 1.03355e8i 0.542227 + 0.373227i
\(130\) −5.23478e6 −0.0183284
\(131\) 1.43485e7 + 2.97950e7i 0.0487216 + 0.101171i 0.923908 0.382614i \(-0.124976\pi\)
−0.875187 + 0.483785i \(0.839262\pi\)
\(132\) 2.57829e7 5.35387e7i 0.0849250 0.176349i
\(133\) −1.15547e8 + 1.44891e8i −0.369277 + 0.463058i
\(134\) −1.86982e8 4.26773e7i −0.579935 0.132366i
\(135\) −6.38029e8 −1.92090
\(136\) 2.69849e8i 0.788798i
\(137\) −3.45102e8 7.87672e7i −0.979636 0.223596i −0.297420 0.954747i \(-0.596126\pi\)
−0.682216 + 0.731151i \(0.738983\pi\)
\(138\) −2.62874e7 3.29634e7i −0.0724822 0.0908898i
\(139\) −4.65344e7 2.03881e8i −0.124657 0.546156i −0.998230 0.0594646i \(-0.981061\pi\)
0.873574 0.486692i \(-0.161796\pi\)
\(140\) −4.56774e8 5.72777e8i −1.18902 1.49098i
\(141\) 1.17271e8 + 2.43515e8i 0.296697 + 0.616098i
\(142\) 7.35735e7 3.22346e8i 0.180954 0.792811i
\(143\) −2.88188e6 + 1.38784e6i −0.00689179 + 0.00331891i
\(144\) 3.20205e7 4.01525e7i 0.0744695 0.0933819i
\(145\) −6.65583e6 2.91611e7i −0.0150567 0.0659678i
\(146\) 1.38330e7 + 6.06064e7i 0.0304442 + 0.133385i
\(147\) −1.45046e8 + 3.01190e8i −0.310624 + 0.645017i
\(148\) 3.56356e8 + 2.84185e8i 0.742741 + 0.592317i
\(149\) 3.34982e8 2.67139e8i 0.679635 0.541991i −0.221699 0.975115i \(-0.571160\pi\)
0.901334 + 0.433124i \(0.142589\pi\)
\(150\) −4.00205e8 1.92729e8i −0.790529 0.380698i
\(151\) −2.87196e8 + 5.96368e8i −0.552421 + 1.14711i 0.418611 + 0.908165i \(0.362517\pi\)
−0.971032 + 0.238948i \(0.923197\pi\)
\(152\) −1.25828e8 1.57784e8i −0.235724 0.295589i
\(153\) 1.65590e8 2.07643e8i 0.302181 0.378923i
\(154\) 1.65841e8 + 7.98648e7i 0.294855 + 0.141995i
\(155\) 1.93708e9 4.42126e8i 3.35599 0.765984i
\(156\) 4.90973e6 1.12061e6i 0.00829009 0.00189216i
\(157\) 9.07379e7 + 7.23610e7i 0.149345 + 0.119098i 0.695312 0.718708i \(-0.255266\pi\)
−0.545967 + 0.837807i \(0.683838\pi\)
\(158\) 1.77879e8 + 3.69370e8i 0.285428 + 0.592697i
\(159\) 2.60389e8 + 5.94322e7i 0.407413 + 0.0929894i
\(160\) 1.13947e9 5.48742e8i 1.73870 0.837314i
\(161\) −2.48321e8 + 1.98030e8i −0.369582 + 0.294731i
\(162\) −4.06570e7 + 9.27970e6i −0.0590304 + 0.0134733i
\(163\) −5.07722e8 + 4.04895e8i −0.719243 + 0.573577i −0.913238 0.407425i \(-0.866427\pi\)
0.193996 + 0.981002i \(0.437855\pi\)
\(164\) −6.60952e7 + 2.89582e8i −0.0913680 + 0.400309i
\(165\) −3.81335e8 −0.514483
\(166\) 2.97370e8i 0.391620i
\(167\) 8.93992e6 3.91683e7i 0.0114939 0.0503581i −0.968856 0.247626i \(-0.920350\pi\)
0.980350 + 0.197268i \(0.0632068\pi\)
\(168\) −5.46318e8 4.35674e8i −0.685817 0.546921i
\(169\) 7.34704e8 + 3.53815e8i 0.900669 + 0.433740i
\(170\) 6.47066e8 3.11611e8i 0.774734 0.373092i
\(171\) 1.98624e8i 0.232299i
\(172\) 4.19814e8 + 4.56506e8i 0.479671 + 0.521595i
\(173\) 2.77257e8 0.309527 0.154763 0.987952i \(-0.450539\pi\)
0.154763 + 0.987952i \(0.450539\pi\)
\(174\) −5.13373e6 1.06603e7i −0.00560062 0.0116298i
\(175\) −1.45187e9 + 3.01484e9i −1.54802 + 3.21449i
\(176\) 5.29092e7 6.63461e7i 0.0551418 0.0691456i
\(177\) −1.09249e9 2.49354e8i −1.11308 0.254053i
\(178\) 4.65399e8 0.463602
\(179\) 4.48785e8i 0.437146i 0.975821 + 0.218573i \(0.0701401\pi\)
−0.975821 + 0.218573i \(0.929860\pi\)
\(180\) −7.65503e8 1.74721e8i −0.729217 0.166439i
\(181\) −4.74207e8 5.94636e8i −0.441828 0.554035i 0.510196 0.860058i \(-0.329573\pi\)
−0.952024 + 0.306023i \(0.901001\pi\)
\(182\) 3.47121e6 + 1.52084e7i 0.00316370 + 0.0138611i
\(183\) 4.61744e8 + 5.79008e8i 0.411715 + 0.516274i
\(184\) −1.50070e8 3.11624e8i −0.130925 0.271869i
\(185\) 6.50865e8 2.85163e9i 0.555654 2.43448i
\(186\) 7.08132e8 3.41018e8i 0.591646 0.284922i
\(187\) 2.73612e8 3.43099e8i 0.223753 0.280578i
\(188\) 2.04625e8 + 8.96519e8i 0.163805 + 0.717676i
\(189\) 4.23080e8 + 1.85363e9i 0.331570 + 1.45270i
\(190\) −2.33045e8 + 4.83923e8i −0.178824 + 0.371332i
\(191\) −1.02692e9 8.18945e8i −0.771622 0.615348i 0.156477 0.987682i \(-0.449986\pi\)
−0.928099 + 0.372333i \(0.878558\pi\)
\(192\) 2.43736e8 1.94373e8i 0.179356 0.143032i
\(193\) 5.46053e8 + 2.62965e8i 0.393555 + 0.189526i 0.620187 0.784454i \(-0.287057\pi\)
−0.226631 + 0.973981i \(0.572771\pi\)
\(194\) 6.59735e8 1.36995e9i 0.465760 0.967161i
\(195\) −2.01495e7 2.52666e7i −0.0139356 0.0174747i
\(196\) −7.09139e8 + 8.89232e8i −0.480515 + 0.602547i
\(197\) 2.38206e9 + 1.14714e9i 1.58157 + 0.761642i 0.998702 0.0509278i \(-0.0162179\pi\)
0.582864 + 0.812570i \(0.301932\pi\)
\(198\) 1.92334e8 4.38991e7i 0.125140 0.0285624i
\(199\) −1.27481e9 + 2.90967e8i −0.812891 + 0.185537i −0.608707 0.793395i \(-0.708311\pi\)
−0.204184 + 0.978932i \(0.565454\pi\)
\(200\) −2.84897e9 2.27198e9i −1.78061 1.41999i
\(201\) −5.13730e8 1.06677e9i −0.314739 0.653562i
\(202\) −1.76357e8 4.02523e7i −0.105922 0.0241761i
\(203\) −8.03067e7 + 3.86737e7i −0.0472898 + 0.0227736i
\(204\) −5.40180e8 + 4.30779e8i −0.311902 + 0.248733i
\(205\) 1.85832e9 4.24149e8i 1.05222 0.240161i
\(206\) −5.78934e8 + 4.61684e8i −0.321484 + 0.256375i
\(207\) −7.57485e7 + 3.31876e8i −0.0412565 + 0.180757i
\(208\) 7.19167e6 0.00384217
\(209\) 3.28197e8i 0.172008i
\(210\) −4.13829e8 + 1.81310e9i −0.212786 + 0.932277i
\(211\) −1.52010e9 1.21224e9i −0.766905 0.611587i 0.159898 0.987134i \(-0.448883\pi\)
−0.926803 + 0.375547i \(0.877455\pi\)
\(212\) 8.18713e8 + 3.94271e8i 0.405311 + 0.195187i
\(213\) 1.83906e9 8.85644e8i 0.893464 0.430270i
\(214\) 1.43654e8i 0.0684955i
\(215\) 1.47050e9 3.69833e9i 0.688193 1.73082i
\(216\) −2.07048e9 −0.951166
\(217\) −2.56897e9 5.33453e9i −1.15857 2.40579i
\(218\) −8.31072e8 + 1.72574e9i −0.367970 + 0.764098i
\(219\) −2.39282e8 + 3.00050e8i −0.104024 + 0.130442i
\(220\) −1.26488e9 2.88701e8i −0.539957 0.123242i
\(221\) 3.71907e7 0.0155907
\(222\) 1.15704e9i 0.476362i
\(223\) −4.28881e7 9.78892e6i −0.0173427 0.00395836i 0.213841 0.976869i \(-0.431403\pi\)
−0.231183 + 0.972910i \(0.574260\pi\)
\(224\) −2.34982e9 2.94658e9i −0.933346 1.17038i
\(225\) 7.98047e8 + 3.49647e9i 0.311385 + 1.36427i
\(226\) 1.27259e9 + 1.59578e9i 0.487814 + 0.611700i
\(227\) 7.17766e8 + 1.49046e9i 0.270321 + 0.561327i 0.991299 0.131631i \(-0.0420214\pi\)
−0.720978 + 0.692958i \(0.756307\pi\)
\(228\) 1.14980e8 5.03762e8i 0.0425485 0.186417i
\(229\) 5.98575e8 2.88259e8i 0.217659 0.104819i −0.321877 0.946781i \(-0.604314\pi\)
0.539536 + 0.841962i \(0.318600\pi\)
\(230\) −5.73941e8 + 7.19700e8i −0.205096 + 0.257182i
\(231\) 2.52865e8 + 1.10787e9i 0.0888056 + 0.389083i
\(232\) −2.15990e7 9.46313e7i −0.00745558 0.0326650i
\(233\) −2.78053e8 + 5.77383e8i −0.0943418 + 0.195903i −0.942799 0.333361i \(-0.891817\pi\)
0.848458 + 0.529263i \(0.177532\pi\)
\(234\) 1.30715e7 + 1.04242e7i 0.00435975 + 0.00347679i
\(235\) 4.61370e9 3.67930e9i 1.51279 1.20641i
\(236\) −3.43500e9 1.65421e9i −1.10733 0.533264i
\(237\) −1.09815e9 + 2.28032e9i −0.348070 + 0.722775i
\(238\) −1.33438e9 1.67326e9i −0.415883 0.521501i
\(239\) 9.10704e8 1.14199e9i 0.279117 0.350001i −0.622436 0.782671i \(-0.713857\pi\)
0.901553 + 0.432670i \(0.142428\pi\)
\(240\) 7.72466e8 + 3.72000e8i 0.232828 + 0.112124i
\(241\) −3.66681e9 + 8.36925e8i −1.08698 + 0.248095i −0.728225 0.685338i \(-0.759655\pi\)
−0.358751 + 0.933433i \(0.616797\pi\)
\(242\) −1.48713e9 + 3.39429e8i −0.433599 + 0.0989662i
\(243\) 2.61010e9 + 2.08149e9i 0.748569 + 0.596964i
\(244\) 1.09324e9 + 2.27014e9i 0.308430 + 0.640461i
\(245\) 7.11579e9 + 1.62413e9i 1.97496 + 0.450772i
\(246\) 6.79338e8 3.27152e8i 0.185501 0.0893324i
\(247\) −2.17458e7 + 1.73417e7i −0.00584235 + 0.00465912i
\(248\) 6.28607e9 1.43475e9i 1.66178 0.379289i
\(249\) −1.43531e9 + 1.14462e9i −0.373378 + 0.297759i
\(250\) −1.28412e9 + 5.62608e9i −0.328734 + 1.44028i
\(251\) −1.46387e9 −0.368814 −0.184407 0.982850i \(-0.559036\pi\)
−0.184407 + 0.982850i \(0.559036\pi\)
\(252\) 2.33984e9i 0.580207i
\(253\) −1.25163e8 + 5.48376e8i −0.0305488 + 0.133843i
\(254\) −1.82337e9 1.45409e9i −0.438068 0.349347i
\(255\) 3.99470e9 + 1.92374e9i 0.944763 + 0.454974i
\(256\) 3.11979e9 1.50241e9i 0.726382 0.349807i
\(257\) 5.26984e9i 1.20799i −0.796987 0.603997i \(-0.793574\pi\)
0.796987 0.603997i \(-0.206426\pi\)
\(258\) 2.41567e8 1.55572e9i 0.0545203 0.351118i
\(259\) −8.71628e9 −1.93701
\(260\) −4.77066e7 9.90638e7i −0.0104396 0.0216781i
\(261\) −4.14494e7 + 8.60705e7i −0.00893215 + 0.0185478i
\(262\) 1.78078e8 2.23303e8i 0.0377925 0.0473904i
\(263\) −7.46174e9 1.70309e9i −1.55961 0.355972i −0.646253 0.763123i \(-0.723665\pi\)
−0.913361 + 0.407151i \(0.866522\pi\)
\(264\) −1.23748e9 −0.254754
\(265\) 5.83137e9i 1.18246i
\(266\) 1.56045e9 + 3.56163e8i 0.311690 + 0.0711413i
\(267\) 1.79139e9 + 2.24633e9i 0.352488 + 0.442006i
\(268\) −8.96403e8 3.92740e9i −0.173766 0.761317i
\(269\) 8.90580e8 + 1.11675e9i 0.170084 + 0.213279i 0.859567 0.511023i \(-0.170733\pi\)
−0.689483 + 0.724302i \(0.742162\pi\)
\(270\) 2.39090e9 + 4.96477e9i 0.449891 + 0.934208i
\(271\) 1.45288e9 6.36550e9i 0.269373 1.18020i −0.641372 0.767230i \(-0.721634\pi\)
0.910745 0.412970i \(-0.135509\pi\)
\(272\) −8.88954e8 + 4.28098e8i −0.162407 + 0.0782109i
\(273\) −6.00446e7 + 7.52936e7i −0.0108100 + 0.0135552i
\(274\) 6.80289e8 + 2.98054e9i 0.120696 + 0.528802i
\(275\) 1.31865e9 + 5.77740e9i 0.230569 + 1.01019i
\(276\) 3.84236e8 7.97874e8i 0.0662158 0.137499i
\(277\) 8.23166e9 + 6.56453e9i 1.39820 + 1.11503i 0.978239 + 0.207482i \(0.0665270\pi\)
0.419959 + 0.907543i \(0.362044\pi\)
\(278\) −1.41210e9 + 1.12611e9i −0.236421 + 0.188539i
\(279\) −5.71740e9 2.75335e9i −0.943587 0.454407i
\(280\) −6.61950e9 + 1.37455e10i −1.07694 + 2.23630i
\(281\) 3.51559e9 + 4.40842e9i 0.563863 + 0.707062i 0.979267 0.202576i \(-0.0649312\pi\)
−0.415404 + 0.909637i \(0.636360\pi\)
\(282\) 1.45544e9 1.82506e9i 0.230143 0.288590i
\(283\) 5.17982e9 + 2.49447e9i 0.807549 + 0.388895i 0.791647 0.610978i \(-0.209224\pi\)
0.0159019 + 0.999874i \(0.494938\pi\)
\(284\) 6.77063e9 1.54535e9i 1.04077 0.237549i
\(285\) −3.23277e9 + 7.37858e8i −0.489999 + 0.111839i
\(286\) 2.15987e7 + 1.72244e7i 0.00322823 + 0.00257442i
\(287\) −2.46452e9 5.11762e9i −0.363249 0.754294i
\(288\) −3.93804e9 8.98833e8i −0.572414 0.130650i
\(289\) 1.68784e9 8.12822e8i 0.241958 0.116521i
\(290\) −2.01973e8 + 1.61068e8i −0.0285562 + 0.0227728i
\(291\) 9.15174e9 2.08883e9i 1.27624 0.291293i
\(292\) −1.02086e9 + 8.14107e8i −0.140422 + 0.111982i
\(293\) −1.20562e9 + 5.28219e9i −0.163584 + 0.716710i 0.824887 + 0.565298i \(0.191239\pi\)
−0.988471 + 0.151411i \(0.951618\pi\)
\(294\) 2.88722e9 0.386447
\(295\) 2.44661e10i 3.23056i
\(296\) 2.11214e9 9.25388e9i 0.275141 1.20547i
\(297\) 2.63251e9 + 2.09936e9i 0.338333 + 0.269811i
\(298\) −3.33400e9 1.60557e9i −0.422767 0.203594i
\(299\) −4.29480e7 + 2.06827e7i −0.00537352 + 0.00258775i
\(300\) 9.32994e9i 1.15184i
\(301\) −1.17196e10 1.81978e9i −1.42774 0.221694i
\(302\) 5.71680e9 0.687266
\(303\) −4.84539e8 1.00616e9i −0.0574855 0.119370i
\(304\) 3.20163e8 6.64825e8i 0.0374866 0.0778418i
\(305\) 1.00814e10 1.26417e10i 1.16499 1.46085i
\(306\) −2.23627e9 5.10414e8i −0.255058 0.0582153i
\(307\) −2.30422e9 −0.259401 −0.129700 0.991553i \(-0.541402\pi\)
−0.129700 + 0.991553i \(0.541402\pi\)
\(308\) 3.86624e9i 0.429621i
\(309\) −4.45680e9 1.01724e9i −0.488866 0.111580i
\(310\) −1.06992e10 1.34164e10i −1.15853 1.45275i
\(311\) −2.00876e9 8.80097e9i −0.214727 0.940782i −0.961306 0.275484i \(-0.911162\pi\)
0.746578 0.665298i \(-0.231695\pi\)
\(312\) −6.53875e7 8.19933e7i −0.00690043 0.00865286i
\(313\) 2.20888e9 + 4.58678e9i 0.230141 + 0.477893i 0.983776 0.179400i \(-0.0574156\pi\)
−0.753635 + 0.657293i \(0.771701\pi\)
\(314\) 2.23046e8 9.77229e8i 0.0229444 0.100526i
\(315\) 1.35283e10 6.51490e9i 1.37405 0.661706i
\(316\) −5.36892e9 + 6.73241e9i −0.538442 + 0.675184i
\(317\) −2.35120e9 1.03013e10i −0.232838 1.02013i −0.947273 0.320427i \(-0.896174\pi\)
0.714436 0.699701i \(-0.246684\pi\)
\(318\) −5.13299e8 2.24891e9i −0.0501951 0.219919i
\(319\) −6.84890e7 + 1.42219e8i −0.00661391 + 0.0137339i
\(320\) −5.32157e9 4.24381e9i −0.507505 0.404722i
\(321\) −6.93370e8 + 5.52944e8i −0.0653048 + 0.0520789i
\(322\) 2.47149e9 + 1.19021e9i 0.229898 + 0.110713i
\(323\) 1.65568e9 3.43805e9i 0.152113 0.315865i
\(324\) −5.46133e8 6.84830e8i −0.0495586 0.0621445i
\(325\) −3.13125e8 + 3.92646e8i −0.0280662 + 0.0351939i
\(326\) 5.05325e9 + 2.43352e9i 0.447405 + 0.215459i
\(327\) −1.15285e10 + 2.63131e9i −1.00828 + 0.230134i
\(328\) 6.03047e9 1.37641e9i 0.521021 0.118920i
\(329\) −1.37486e10 1.09642e10i −1.17348 0.935820i
\(330\) 1.42899e9 + 2.96732e9i 0.120496 + 0.250213i
\(331\) 3.04602e9 + 6.95234e8i 0.253758 + 0.0579187i 0.347508 0.937677i \(-0.387028\pi\)
−0.0937492 + 0.995596i \(0.529885\pi\)
\(332\) −5.62747e9 + 2.71005e9i −0.463192 + 0.223062i
\(333\) −7.30376e9 + 5.82456e9i −0.593977 + 0.473681i
\(334\) −3.38286e8 + 7.72115e7i −0.0271830 + 0.00620435i
\(335\) −2.02113e10 + 1.61180e10i −1.60478 + 1.27977i
\(336\) 5.68527e8 2.49088e9i 0.0446061 0.195432i
\(337\) 1.18195e10 0.916391 0.458195 0.888851i \(-0.348496\pi\)
0.458195 + 0.888851i \(0.348496\pi\)
\(338\) 7.04289e9i 0.539615i
\(339\) −2.80392e9 + 1.22848e10i −0.212308 + 0.930182i
\(340\) 1.17939e10 + 9.40534e9i 0.882556 + 0.703815i
\(341\) −9.44716e9 4.54951e9i −0.698689 0.336471i
\(342\) 1.54557e9 7.44309e8i 0.112976 0.0544063i
\(343\) 1.75156e9i 0.126546i
\(344\) 4.77194e9 1.20015e10i 0.340770 0.857042i
\(345\) −5.68295e9 −0.401141
\(346\) −1.03897e9 2.15745e9i −0.0724936 0.150535i
\(347\) 2.39780e9 4.97908e9i 0.165384 0.343424i −0.801762 0.597643i \(-0.796104\pi\)
0.967147 + 0.254219i \(0.0818183\pi\)
\(348\) 1.54951e8 1.94303e8i 0.0105652 0.0132484i
\(349\) 2.55480e10 + 5.83117e9i 1.72209 + 0.393056i 0.965411 0.260731i \(-0.0839636\pi\)
0.756679 + 0.653787i \(0.226821\pi\)
\(350\) 2.89004e10 1.92589
\(351\) 2.85354e8i 0.0187999i
\(352\) −6.50704e9 1.48519e9i −0.423851 0.0967411i
\(353\) −1.10336e10 1.38357e10i −0.710587 0.891048i 0.287177 0.957877i \(-0.407283\pi\)
−0.997764 + 0.0668294i \(0.978712\pi\)
\(354\) 2.15360e9 + 9.43554e9i 0.137136 + 0.600833i
\(355\) −2.77866e10 3.48432e10i −1.74953 2.19384i
\(356\) 4.24136e9 + 8.80727e9i 0.264061 + 0.548329i
\(357\) 2.94006e9 1.28812e10i 0.181002 0.793021i
\(358\) 3.49218e9 1.68174e9i 0.212600 0.102383i
\(359\) −1.46625e10 + 1.83862e10i −0.882735 + 1.10691i 0.110851 + 0.993837i \(0.464642\pi\)
−0.993586 + 0.113077i \(0.963929\pi\)
\(360\) 3.63852e9 + 1.59414e10i 0.216628 + 0.949111i
\(361\) −3.14416e9 1.37755e10i −0.185130 0.811105i
\(362\) −2.85010e9 + 5.91829e9i −0.165968 + 0.344637i
\(363\) −7.36251e9 5.87141e9i −0.424033 0.338155i
\(364\) −2.56170e8 + 2.04289e8i −0.0145923 + 0.0116370i
\(365\) 7.54937e9 + 3.63558e9i 0.425343 + 0.204834i
\(366\) 2.77519e9 5.76275e9i 0.154657 0.321148i
\(367\) −9.85977e8 1.23638e9i −0.0543504 0.0681532i 0.753913 0.656974i \(-0.228164\pi\)
−0.808264 + 0.588821i \(0.799592\pi\)
\(368\) 7.88494e8 9.88740e8i 0.0429939 0.0539127i
\(369\) −5.48492e9 2.64140e9i −0.295846 0.142472i
\(370\) −2.46287e10 + 5.62133e9i −1.31412 + 0.299939i
\(371\) −1.69416e10 + 3.86681e9i −0.894249 + 0.204106i
\(372\) 1.29069e10 + 1.02929e10i 0.673987 + 0.537487i
\(373\) 1.53183e10 + 3.18088e10i 0.791362 + 1.64328i 0.765347 + 0.643618i \(0.222567\pi\)
0.0260149 + 0.999662i \(0.491718\pi\)
\(374\) −3.69511e9 8.43385e8i −0.188860 0.0431062i
\(375\) −3.20981e10 + 1.54576e10i −1.62313 + 0.781659i
\(376\) 1.49720e10 1.19398e10i 0.749081 0.597372i
\(377\) −1.30421e7 + 2.97677e6i −0.000645628 + 0.000147360i
\(378\) 1.28385e10 1.02383e10i 0.628848 0.501490i
\(379\) −5.17949e9 + 2.26928e10i −0.251032 + 1.09985i 0.679511 + 0.733665i \(0.262192\pi\)
−0.930544 + 0.366180i \(0.880665\pi\)
\(380\) −1.12817e10 −0.541051
\(381\) 1.43979e10i 0.683279i
\(382\) −2.52432e9 + 1.10598e10i −0.118547 + 0.519389i
\(383\) −3.18073e9 2.53655e9i −0.147820 0.117882i 0.546788 0.837271i \(-0.315850\pi\)
−0.694607 + 0.719389i \(0.744422\pi\)
\(384\) 1.09347e10 + 5.26588e9i 0.502901 + 0.242184i
\(385\) 2.23536e10 1.07649e10i 1.01743 0.489968i
\(386\) 5.23448e9i 0.235790i
\(387\) −1.10365e10 + 6.30665e9i −0.492024 + 0.281161i
\(388\) 3.19376e10 1.40921
\(389\) 1.58273e10 + 3.28658e10i 0.691209 + 1.43531i 0.890321 + 0.455333i \(0.150480\pi\)
−0.199113 + 0.979977i \(0.563806\pi\)
\(390\) −1.21103e8 + 2.51474e8i −0.00523477 + 0.0108701i
\(391\) 4.07758e9 5.11313e9i 0.174460 0.218766i
\(392\) 2.30916e10 + 5.27051e9i 0.977935 + 0.223207i
\(393\) 1.76326e9 0.0739175
\(394\) 2.28345e10i 0.947558i
\(395\) 5.38740e10 + 1.22964e10i 2.21305 + 0.505113i
\(396\) 2.58357e9 + 3.23969e9i 0.105060 + 0.131742i
\(397\) −1.87988e9 8.23631e9i −0.0756779 0.331566i 0.922890 0.385063i \(-0.125820\pi\)
−0.998568 + 0.0534970i \(0.982963\pi\)
\(398\) 7.04125e9 + 8.82945e9i 0.280619 + 0.351886i
\(399\) 4.28732e9 + 8.90272e9i 0.169159 + 0.351262i
\(400\) 2.96479e9 1.29896e10i 0.115812 0.507406i
\(401\) −2.18873e9 + 1.05404e9i −0.0846475 + 0.0407641i −0.475728 0.879592i \(-0.657816\pi\)
0.391081 + 0.920356i \(0.372101\pi\)
\(402\) −6.37587e9 + 7.99509e9i −0.244138 + 0.306139i
\(403\) −1.97738e8 8.66347e8i −0.00749670 0.0328452i
\(404\) −8.45468e8 3.70424e9i −0.0317374 0.139051i
\(405\) −2.43889e9 + 5.06440e9i −0.0906508 + 0.188238i
\(406\) 6.01871e8 + 4.79976e8i 0.0221513 + 0.0176651i
\(407\) −1.20684e10 + 9.62422e9i −0.439817 + 0.350742i
\(408\) 1.29633e10 + 6.24278e9i 0.467815 + 0.225288i
\(409\) −4.06672e9 + 8.44462e9i −0.145328 + 0.301778i −0.960908 0.276867i \(-0.910704\pi\)
0.815580 + 0.578645i \(0.196418\pi\)
\(410\) −1.02642e10 1.28709e10i −0.363237 0.455485i
\(411\) −1.17676e10 + 1.47561e10i −0.412401 + 0.517135i
\(412\) −1.40130e10 6.74831e9i −0.486343 0.234210i
\(413\) 7.10802e10 1.62236e10i 2.44314 0.557631i
\(414\) 2.86632e9 6.54218e8i 0.0975714 0.0222700i
\(415\) 3.13376e10 + 2.49909e10i 1.05651 + 0.842538i
\(416\) −2.45421e8 5.09622e8i −0.00819480 0.0170167i
\(417\) −1.08708e10 2.48118e9i −0.359514 0.0820567i
\(418\) 2.55383e9 1.22986e9i 0.0836541 0.0402857i
\(419\) −1.90836e9 + 1.52187e9i −0.0619163 + 0.0493766i −0.653959 0.756530i \(-0.726893\pi\)
0.592043 + 0.805907i \(0.298322\pi\)
\(420\) −3.80828e10 + 8.69214e9i −1.22386 + 0.279338i
\(421\) −2.20248e10 + 1.75642e10i −0.701107 + 0.559114i −0.907857 0.419280i \(-0.862283\pi\)
0.206750 + 0.978394i \(0.433711\pi\)
\(422\) −3.73661e9 + 1.63712e10i −0.117822 + 0.516214i
\(423\) −1.88473e10 −0.588691
\(424\) 1.89235e10i 0.585515i
\(425\) 1.53320e10 6.71738e10i 0.469940 2.05894i
\(426\) −1.37831e10 1.09917e10i −0.418513 0.333753i
\(427\) −4.34122e10 2.09062e10i −1.30587 0.628875i
\(428\) −2.71852e9 + 1.30917e9i −0.0810136 + 0.0390141i
\(429\) 1.70549e8i 0.00503525i
\(430\) −3.42886e10 + 2.41631e9i −1.00294 + 0.0706772i
\(431\) 1.36746e10 0.396284 0.198142 0.980173i \(-0.436509\pi\)
0.198142 + 0.980173i \(0.436509\pi\)
\(432\) −3.28468e9 6.82071e9i −0.0943101 0.195837i
\(433\) 2.35505e10 4.89030e10i 0.669958 1.39118i −0.237644 0.971352i \(-0.576375\pi\)
0.907603 0.419831i \(-0.137910\pi\)
\(434\) −3.18834e10 + 3.99805e10i −0.898680 + 1.12691i
\(435\) −1.55485e9 3.54884e8i −0.0434241 0.00991126i
\(436\) −4.02320e10 −1.11333
\(437\) 4.89104e9i 0.134114i
\(438\) 3.23148e9 + 7.37565e8i 0.0878022 + 0.0200403i
\(439\) 2.44133e10 + 3.06133e10i 0.657306 + 0.824236i 0.993047 0.117718i \(-0.0375580\pi\)
−0.335741 + 0.941954i \(0.608987\pi\)
\(440\) 6.01213e9 + 2.63408e10i 0.160405 + 0.702779i
\(441\) −1.45343e10 1.82254e10i −0.384272 0.481862i
\(442\) −1.39366e8 2.89396e8i −0.00365146 0.00758234i
\(443\) −1.15088e10 + 5.04234e10i −0.298824 + 1.30923i 0.573056 + 0.819516i \(0.305758\pi\)
−0.871881 + 0.489718i \(0.837100\pi\)
\(444\) 2.18960e10 1.05446e10i 0.563421 0.271329i
\(445\) 3.91120e10 4.90448e10i 0.997400 1.25070i
\(446\) 8.45441e7 + 3.70412e8i 0.00213670 + 0.00936150i
\(447\) −5.08349e9 2.22722e10i −0.127330 0.557871i
\(448\) −8.80058e9 + 1.82746e10i −0.218474 + 0.453665i
\(449\) −5.10859e10 4.07397e10i −1.25694 1.00238i −0.999347 0.0361274i \(-0.988498\pi\)
−0.257597 0.966252i \(-0.582931\pi\)
\(450\) 2.42169e10 1.93123e10i 0.590567 0.470961i
\(451\) −9.06303e9 4.36453e9i −0.219062 0.105495i
\(452\) −1.86011e10 + 3.86256e10i −0.445641 + 0.925382i
\(453\) 2.20048e10 + 2.75932e10i 0.522546 + 0.655252i
\(454\) 8.90814e9 1.11705e10i 0.209683 0.262934i
\(455\) 1.89441e9 + 9.12301e8i 0.0442007 + 0.0212859i
\(456\) −1.04907e10 + 2.39444e9i −0.242631 + 0.0553789i
\(457\) 3.19470e10 7.29169e9i 0.732428 0.167172i 0.159989 0.987119i \(-0.448854\pi\)
0.572440 + 0.819947i \(0.305997\pi\)
\(458\) −4.48611e9 3.57756e9i −0.101955 0.0813064i
\(459\) −1.69863e10 3.52723e10i −0.382690 0.794663i
\(460\) −1.88502e10 4.30244e9i −0.421003 0.0960913i
\(461\) −4.78180e10 + 2.30279e10i −1.05874 + 0.509860i −0.880460 0.474120i \(-0.842766\pi\)
−0.178276 + 0.983981i \(0.557052\pi\)
\(462\) 7.67324e9 6.11921e9i 0.168427 0.134316i
\(463\) −3.98999e10 + 9.10690e9i −0.868257 + 0.198174i −0.633370 0.773849i \(-0.718329\pi\)
−0.234886 + 0.972023i \(0.575472\pi\)
\(464\) 2.77475e8 2.21279e8i 0.00598621 0.00477384i
\(465\) 2.35738e10 1.03284e11i 0.504218 2.20912i
\(466\) 5.53481e9 0.117371
\(467\) 7.64199e10i 1.60672i 0.595497 + 0.803358i \(0.296955\pi\)
−0.595497 + 0.803358i \(0.703045\pi\)
\(468\) −7.81428e7 + 3.42366e8i −0.00162894 + 0.00713686i
\(469\) 6.02289e10 + 4.80310e10i 1.24484 + 0.992728i
\(470\) −4.59192e10 2.21135e10i −0.941028 0.453175i
\(471\) 5.57531e9 2.68493e9i 0.113288 0.0545568i
\(472\) 7.93956e10i 1.59966i
\(473\) −1.82361e10 + 1.04208e10i −0.364325 + 0.208189i
\(474\) 2.18592e10 0.433034
\(475\) 2.23578e10 + 4.64264e10i 0.439192 + 0.911992i
\(476\) 1.95042e10 4.05010e10i 0.379928 0.788929i
\(477\) −1.16122e10 + 1.45612e10i −0.224305 + 0.281270i
\(478\) −1.22990e10 2.80716e9i −0.235590 0.0537719i
\(479\) −1.08431e10 −0.205973 −0.102986 0.994683i \(-0.532840\pi\)
−0.102986 + 0.994683i \(0.532840\pi\)
\(480\) 6.74339e10i 1.27032i
\(481\) −1.27537e9 2.91095e8i −0.0238263 0.00543819i
\(482\) 2.02532e10 + 2.53967e10i 0.375237 + 0.470532i
\(483\) 3.76838e9 + 1.65104e10i 0.0692415 + 0.303367i
\(484\) −1.99762e10 2.50494e10i −0.364025 0.456473i
\(485\) −8.89251e10 1.84655e11i −1.60715 3.33729i
\(486\) 6.41598e9 2.81103e10i 0.115005 0.503872i
\(487\) −2.65739e9 + 1.27973e9i −0.0472433 + 0.0227512i −0.457356 0.889284i \(-0.651204\pi\)
0.410113 + 0.912035i \(0.365489\pi\)
\(488\) 3.27154e10 4.10238e10i 0.576863 0.723363i
\(489\) 7.70490e9 + 3.37574e10i 0.134751 + 0.590383i
\(490\) −1.40272e10 6.14570e10i −0.243324 1.06607i
\(491\) 2.97306e10 6.17363e10i 0.511538 1.06222i −0.472013 0.881591i \(-0.656473\pi\)
0.983551 0.180628i \(-0.0578131\pi\)
\(492\) 1.23821e10 + 9.87442e9i 0.211317 + 0.168520i
\(493\) 1.43492e9 1.14431e9i 0.0242907 0.0193712i
\(494\) 2.16431e8 + 1.04228e8i 0.00363423 + 0.00175015i
\(495\) 1.15375e10 2.39579e10i 0.192173 0.399051i
\(496\) 1.46989e10 + 1.84318e10i 0.242861 + 0.304538i
\(497\) −8.28029e10 + 1.03832e11i −1.35713 + 1.70178i
\(498\) 1.42854e10 + 6.87946e9i 0.232260 + 0.111850i
\(499\) 7.04708e10 1.60845e10i 1.13660 0.259421i 0.387493 0.921873i \(-0.373341\pi\)
0.749105 + 0.662452i \(0.230484\pi\)
\(500\) −1.18171e11 + 2.69719e10i −1.89074 + 0.431550i
\(501\) −1.67479e9 1.33560e9i −0.0265833 0.0211995i
\(502\) 5.48559e9 + 1.13910e10i 0.0863791 + 0.179368i
\(503\) 7.62353e10 + 1.74002e10i 1.19092 + 0.271821i 0.771655 0.636041i \(-0.219429\pi\)
0.419270 + 0.907862i \(0.362286\pi\)
\(504\) 4.39011e10 2.11416e10i 0.680382 0.327655i
\(505\) −1.90629e10 + 1.52021e10i −0.293105 + 0.233743i
\(506\) 4.73617e9 1.08100e9i 0.0722478 0.0164901i
\(507\) 3.39938e10 2.71091e10i 0.514479 0.410283i
\(508\) 1.09003e10 4.77575e10i 0.163676 0.717111i
\(509\) −3.66297e10 −0.545711 −0.272855 0.962055i \(-0.587968\pi\)
−0.272855 + 0.962055i \(0.587968\pi\)
\(510\) 3.82933e10i 0.566033i
\(511\) 5.55626e9 2.43436e10i 0.0814890 0.357026i
\(512\) 2.21765e10 + 1.76852e10i 0.322710 + 0.257353i
\(513\) 2.63792e10 + 1.27036e10i 0.380884 + 0.183424i
\(514\) −4.10068e10 + 1.97478e10i −0.587493 + 0.282922i
\(515\) 9.98092e10i 1.41887i
\(516\) 3.16422e10 9.60646e9i 0.446342 0.135508i
\(517\) −3.11424e10 −0.435903
\(518\) 3.26628e10 + 6.78249e10i 0.453663 + 0.942042i
\(519\) 6.41415e9 1.33191e10i 0.0884036 0.183572i
\(520\) −1.42762e9 + 1.79019e9i −0.0195254 + 0.0244841i
\(521\) 3.22354e10 + 7.35751e9i 0.437504 + 0.0998574i 0.435599 0.900141i \(-0.356537\pi\)
0.00190475 + 0.999998i \(0.499394\pi\)
\(522\) 8.25074e8 0.0111125
\(523\) 4.50830e10i 0.602568i 0.953534 + 0.301284i \(0.0974152\pi\)
−0.953534 + 0.301284i \(0.902585\pi\)
\(524\) 5.84872e9 + 1.33493e9i 0.0775775 + 0.0177065i
\(525\) 1.11242e11 + 1.39493e11i 1.46430 + 1.83618i
\(526\) 1.47091e10 + 6.44449e10i 0.192152 + 0.841871i
\(527\) 7.60131e10 + 9.53174e10i 0.985476 + 1.23575i
\(528\) −1.96318e9 4.07658e9i −0.0252594 0.0524517i
\(529\) 1.55606e10 6.81752e10i 0.198702 0.870571i
\(530\) −4.53763e10 + 2.18521e10i −0.575076 + 0.276942i
\(531\) 4.87201e10 6.10931e10i 0.612816 0.768447i
\(532\) 7.48091e9 + 3.27760e10i 0.0933916 + 0.409176i
\(533\) −1.89698e8 8.31120e8i −0.00235046 0.0102980i
\(534\) 1.07667e10 2.23573e10i 0.132409 0.274950i
\(535\) 1.51386e10 + 1.20726e10i 0.184786 + 0.147362i
\(536\) −6.55881e10 + 5.23048e10i −0.794632 + 0.633698i
\(537\) 2.15591e10 + 1.03823e10i 0.259259 + 0.124853i
\(538\) 5.35261e9 1.11148e10i 0.0638905 0.132670i
\(539\) −2.40158e10 3.01148e10i −0.284539 0.356800i
\(540\) −7.21646e10 + 9.04916e10i −0.848691 + 1.06422i
\(541\) −1.47900e11 7.12249e10i −1.72655 0.831463i −0.987463 0.157853i \(-0.949543\pi\)
−0.739087 0.673610i \(-0.764743\pi\)
\(542\) −5.49770e10 + 1.25481e10i −0.637066 + 0.145406i
\(543\) −3.95361e10 + 9.02387e9i −0.454773 + 0.103799i
\(544\) 6.06724e10 + 4.83847e10i 0.692781 + 0.552474i
\(545\) 1.12020e11 + 2.32611e11i 1.26972 + 2.63660i
\(546\) 8.10897e8 + 1.85082e8i 0.00912421 + 0.00208254i
\(547\) −4.75229e10 + 2.28858e10i −0.530828 + 0.255633i −0.680044 0.733171i \(-0.738039\pi\)
0.149216 + 0.988805i \(0.452325\pi\)
\(548\) −5.02044e10 + 4.00367e10i −0.556698 + 0.443952i
\(549\) −5.03474e10 + 1.14915e10i −0.554227 + 0.126499i
\(550\) 4.00149e10 3.19108e10i 0.437292 0.348728i
\(551\) −3.05431e8 + 1.33818e9i −0.00331365 + 0.0145181i
\(552\) −1.84419e10 −0.198632
\(553\) 1.64671e11i 1.76083i
\(554\) 2.02346e10 8.86534e10i 0.214810 0.941145i
\(555\) −1.21932e11 9.72374e10i −1.28512 1.02485i
\(556\) −3.41797e10 1.64601e10i −0.357659 0.172239i
\(557\) 1.55280e11 7.47791e10i 1.61323 0.776890i 0.613313 0.789840i \(-0.289836\pi\)
0.999916 + 0.0129496i \(0.00412209\pi\)
\(558\) 5.48071e10i 0.565328i
\(559\) −1.65405e9 6.57669e8i −0.0169395 0.00673535i
\(560\) −5.57828e10 −0.567216
\(561\) −1.01523e10 2.10814e10i −0.102497 0.212838i
\(562\) 2.11296e10 4.38760e10i 0.211810 0.439827i
\(563\) −4.67960e10 + 5.86803e10i −0.465773 + 0.584061i −0.958130 0.286332i \(-0.907564\pi\)
0.492357 + 0.870393i \(0.336135\pi\)
\(564\) 4.78017e10 + 1.09104e10i 0.472418 + 0.107826i
\(565\) 2.75115e11 2.69973
\(566\) 4.96539e10i 0.483824i
\(567\) 1.63306e10 + 3.72735e9i 0.158004 + 0.0360635i
\(568\) −9.01707e10 1.13071e11i −0.866308 1.08632i
\(569\) 9.96231e9 + 4.36477e10i 0.0950410 + 0.416402i 0.999958 0.00918661i \(-0.00292423\pi\)
−0.904917 + 0.425589i \(0.860067\pi\)
\(570\) 1.78558e10 + 2.23905e10i 0.169153 + 0.212111i
\(571\) −4.80235e10 9.97219e10i −0.451762 0.938094i −0.995127 0.0985972i \(-0.968564\pi\)
0.543365 0.839496i \(-0.317150\pi\)
\(572\) −1.29120e8 + 5.65710e8i −0.00120617 + 0.00528457i
\(573\) −6.30984e10 + 3.03866e10i −0.585329 + 0.281880i
\(574\) −3.05869e10 + 3.83548e10i −0.281766 + 0.353323i
\(575\) 1.96516e10 + 8.60993e10i 0.179774 + 0.787641i
\(576\) 4.83739e9 + 2.11940e10i 0.0439462 + 0.192541i
\(577\) 2.57658e9 5.35032e9i 0.0232456 0.0482699i −0.889023 0.457863i \(-0.848615\pi\)
0.912268 + 0.409593i \(0.134329\pi\)
\(578\) −1.26498e10 1.00879e10i −0.113337 0.0903834i
\(579\) 2.52652e10 2.01483e10i 0.224806 0.179277i
\(580\) −4.88873e9 2.35429e9i −0.0432000 0.0208040i
\(581\) 5.18247e10 1.07615e11i 0.454812 0.944428i
\(582\) −5.05486e10 6.33859e10i −0.440572 0.552460i
\(583\) −1.91874e10 + 2.40602e10i −0.166089 + 0.208270i
\(584\) 2.44986e10 + 1.17979e10i 0.210615 + 0.101427i
\(585\) 2.19705e9 5.01462e8i 0.0187593 0.00428168i
\(586\) 4.56207e10 1.04126e10i 0.386876 0.0883019i
\(587\) 7.27972e10 + 5.80539e10i 0.613144 + 0.488966i 0.880129 0.474735i \(-0.157456\pi\)
−0.266985 + 0.963701i \(0.586027\pi\)
\(588\) 2.63123e10 + 5.46381e10i 0.220115 + 0.457074i
\(589\) −8.88914e10 2.02889e10i −0.738581 0.168576i
\(590\) 1.90381e11 9.16827e10i 1.57114 0.756622i
\(591\) 1.10215e11 8.78932e10i 0.903419 0.720453i
\(592\) 3.38355e10 7.72272e9i 0.275477 0.0628758i
\(593\) −4.19507e10 + 3.34545e10i −0.339250 + 0.270543i −0.778264 0.627937i \(-0.783899\pi\)
0.439014 + 0.898480i \(0.355328\pi\)
\(594\) 6.47107e9 2.83516e10i 0.0519793 0.227736i
\(595\) −2.88473e11 −2.30164
\(596\) 7.77253e10i 0.615995i
\(597\) −1.55141e10 + 6.79717e10i −0.122132 + 0.535095i
\(598\) 3.21881e8 + 2.56691e8i 0.00251704 + 0.00200727i
\(599\) 9.98594e10 + 4.80897e10i 0.775678 + 0.373547i 0.779465 0.626446i \(-0.215491\pi\)
−0.00378686 + 0.999993i \(0.501205\pi\)
\(600\) −1.75053e11 + 8.43009e10i −1.35071 + 0.650470i
\(601\) 1.18036e11i 0.904723i −0.891835 0.452362i \(-0.850582\pi\)
0.891835 0.452362i \(-0.149418\pi\)
\(602\) 2.97569e10 + 9.80147e10i 0.226570 + 0.746286i
\(603\) 8.25647e10 0.624490
\(604\) 5.20994e10 + 1.08185e11i 0.391458 + 0.812870i
\(605\) −8.92084e10 + 1.85243e11i −0.665862 + 1.38268i
\(606\) −6.01358e9 + 7.54079e9i −0.0445905 + 0.0559148i
\(607\) −6.34878e10 1.44907e10i −0.467666 0.106742i −0.0178071 0.999841i \(-0.505668\pi\)
−0.449859 + 0.893100i \(0.648526\pi\)
\(608\) −5.80372e10 −0.424709
\(609\) 4.75254e9i 0.0345507i
\(610\) −1.36148e11 3.10750e10i −0.983316 0.224435i
\(611\) −1.64554e9 2.06344e9i −0.0118071 0.0148057i
\(612\) −1.07208e10 4.69711e10i −0.0764229 0.334830i
\(613\) −8.40058e10 1.05340e11i −0.594932 0.746021i 0.389646 0.920965i \(-0.372597\pi\)
−0.984579 + 0.174943i \(0.944026\pi\)
\(614\) 8.63468e9 + 1.79301e10i 0.0607537 + 0.126156i
\(615\) 2.26153e10 9.90840e10i 0.158089 0.692633i
\(616\) 7.25401e10 3.49334e10i 0.503796 0.242616i
\(617\) −7.76709e10 + 9.73962e10i −0.535942 + 0.672050i −0.973908 0.226941i \(-0.927127\pi\)
0.437966 + 0.898991i \(0.355699\pi\)
\(618\) 8.78557e9 + 3.84921e10i 0.0602305 + 0.263887i
\(619\) −3.18372e10 1.39488e11i −0.216857 0.950111i −0.959784 0.280739i \(-0.909421\pi\)
0.742928 0.669372i \(-0.233437\pi\)
\(620\) 1.56388e11 3.24743e11i 1.05837 2.19772i
\(621\) 3.92317e10 + 3.12862e10i 0.263797 + 0.210371i
\(622\) −6.09564e10 + 4.86111e10i −0.407247 + 0.324769i
\(623\) −1.68423e11 8.11081e10i −1.11802 0.538409i
\(624\) 1.66375e8 3.45480e8i 0.00109736 0.00227869i
\(625\) 2.50048e11 + 3.13550e11i 1.63872 + 2.05488i
\(626\) 2.74142e10 3.43764e10i 0.178517 0.223853i
\(627\) 1.57662e10 + 7.59262e9i 0.102014 + 0.0491271i
\(628\) 2.05259e10 4.68491e9i 0.131967 0.0301205i
\(629\) 1.74975e11 3.99369e10i 1.11782 0.255136i
\(630\) −1.01390e11 8.08559e10i −0.643626 0.513275i
\(631\) −1.00143e11 2.07949e11i −0.631689 1.31172i −0.933579 0.358373i \(-0.883332\pi\)
0.301890 0.953343i \(-0.402383\pi\)
\(632\) 1.74828e11 + 3.99032e10i 1.09583 + 0.250115i
\(633\) −9.34011e10 + 4.49796e10i −0.581751 + 0.280156i
\(634\) −7.13478e10 + 5.68980e10i −0.441595 + 0.352160i
\(635\) −3.06472e11 + 6.99502e10i −1.88493 + 0.430223i
\(636\) 3.78808e10 3.02089e10i 0.231521 0.184632i
\(637\) 7.26382e8 3.18249e9i 0.00441172 0.0193290i
\(638\) 1.36331e9 0.00822836
\(639\) 1.42337e11i 0.853719i
\(640\) 5.89641e10 2.58339e11i 0.351454 1.53982i
\(641\) −6.58871e10 5.25432e10i −0.390273 0.311232i 0.408621 0.912704i \(-0.366010\pi\)
−0.798894 + 0.601472i \(0.794581\pi\)
\(642\) 6.90097e9 + 3.32333e9i 0.0406228 + 0.0195629i
\(643\) 1.30743e11 6.29626e10i 0.764848 0.368331i −0.0104348 0.999946i \(-0.503322\pi\)
0.775283 + 0.631614i \(0.217607\pi\)
\(644\) 5.76176e10i 0.334975i
\(645\) −1.43645e11 1.56199e11i −0.829948 0.902486i
\(646\) −3.29572e10 −0.189243
\(647\) 2.09177e10 + 4.34360e10i 0.119370 + 0.247875i 0.952089 0.305821i \(-0.0989310\pi\)
−0.832719 + 0.553697i \(0.813217\pi\)
\(648\) −7.91448e9 + 1.64346e10i −0.0448872 + 0.0932092i
\(649\) 8.05028e10 1.00947e11i 0.453766 0.569005i
\(650\) 4.22872e9 + 9.65177e8i 0.0236895 + 0.00540697i
\(651\) −3.15697e11 −1.75771
\(652\) 1.17806e11i 0.651894i
\(653\) −3.38150e11 7.71805e10i −1.85976 0.424478i −0.863020 0.505169i \(-0.831430\pi\)
−0.996739 + 0.0806914i \(0.974287\pi\)
\(654\) 6.36764e10 + 7.98476e10i 0.348071 + 0.436467i
\(655\) −8.56659e9 3.75327e10i −0.0465417 0.203913i
\(656\) 1.41012e10 + 1.76824e10i 0.0761449 + 0.0954827i
\(657\) −1.16115e10 2.41115e10i −0.0623198 0.129408i
\(658\) −3.37961e10 + 1.48070e11i −0.180286 + 0.789885i
\(659\) 9.07180e10 4.36875e10i 0.481008 0.231641i −0.177636 0.984096i \(-0.556845\pi\)
0.658643 + 0.752455i \(0.271131\pi\)
\(660\) −4.31311e10 + 5.40847e10i −0.227308 + 0.285035i
\(661\) 1.52927e10 + 6.70019e10i 0.0801087 + 0.350979i 0.999058 0.0433967i \(-0.0138180\pi\)
−0.918949 + 0.394376i \(0.870961\pi\)
\(662\) −6.00453e9 2.63076e10i −0.0312642 0.136977i
\(663\) 8.60382e8 1.78660e9i 0.00445284 0.00924642i
\(664\) 1.01694e11 + 8.10985e10i 0.523148 + 0.417196i
\(665\) 1.68673e11 1.34512e11i 0.862500 0.687821i
\(666\) 7.26928e10 + 3.50070e10i 0.369483 + 0.177934i
\(667\) −1.02068e9 + 2.11945e9i −0.00515685 + 0.0107083i
\(668\) −4.54409e9 5.69810e9i −0.0228213 0.0286170i
\(669\) −1.46244e9 + 1.83384e9i −0.00730084 + 0.00915496i
\(670\) 2.01159e11 + 9.68731e10i 0.998252 + 0.480733i
\(671\) −8.31917e10 + 1.89880e10i −0.410384 + 0.0936674i
\(672\) −1.95912e11 + 4.47157e10i −0.960693 + 0.219272i
\(673\) −1.20830e11 9.63586e10i −0.588998 0.469710i 0.283067 0.959100i \(-0.408648\pi\)
−0.872065 + 0.489390i \(0.837220\pi\)
\(674\) −4.42917e10 9.19726e10i −0.214626 0.445676i
\(675\) 5.15407e11 + 1.17638e11i 2.48276 + 0.566675i
\(676\) 1.33281e11 6.41845e10i 0.638234 0.307357i
\(677\) 2.49317e11 1.98824e11i 1.18686 0.946486i 0.187496 0.982265i \(-0.439963\pi\)
0.999360 + 0.0357792i \(0.0113913\pi\)
\(678\) 1.06100e11 2.42166e10i 0.502107 0.114603i
\(679\) −4.77502e11 + 3.80795e11i −2.24645 + 1.79148i
\(680\) 6.99030e10 3.06265e11i 0.326934 1.43239i
\(681\) 8.82050e10 0.410114
\(682\) 9.05608e10i 0.418603i
\(683\) −7.00427e10 + 3.06877e11i −0.321870 + 1.41020i 0.512353 + 0.858775i \(0.328774\pi\)
−0.834223 + 0.551428i \(0.814083\pi\)
\(684\) 2.81708e10 + 2.24655e10i 0.128699 + 0.102634i
\(685\) 3.71268e11 + 1.78793e11i 1.68626 + 0.812062i
\(686\) −1.36296e10 + 6.56368e9i −0.0615443 + 0.0296382i
\(687\) 3.54236e10i 0.159025i
\(688\) 4.71065e10 3.31959e9i 0.210246 0.0148160i
\(689\) −2.60804e9 −0.0115728
\(690\) 2.12959e10 + 4.42213e10i 0.0939505 + 0.195090i
\(691\) 9.38869e10 1.94958e11i 0.411806 0.855124i −0.587152 0.809477i \(-0.699751\pi\)
0.998958 0.0456469i \(-0.0145349\pi\)
\(692\) 3.13593e10 3.93233e10i 0.136755 0.171485i
\(693\) −7.72543e10 1.76328e10i −0.334958 0.0764519i
\(694\) −4.77296e10 −0.205755
\(695\) 2.43448e11i 1.04344i
\(696\) −5.04567e9 1.15164e9i −0.0215021 0.00490772i
\(697\) 7.29223e10 + 9.14417e10i 0.308979 + 0.387448i
\(698\) −5.03622e10 2.20651e11i −0.212169 0.929575i
\(699\) 2.13043e10 + 2.67148e10i 0.0892398 + 0.111903i
\(700\) 2.63380e11 + 5.46914e11i 1.09696 + 2.27786i
\(701\) 2.78333e10 1.21946e11i 0.115264 0.505004i −0.884030 0.467430i \(-0.845180\pi\)
0.999294 0.0375736i \(-0.0119629\pi\)
\(702\) 2.22046e9 1.06932e9i 0.00914311 0.00440309i
\(703\) −8.36876e10 + 1.04941e11i −0.342641 + 0.429659i
\(704\) 7.99308e9 + 3.50200e10i 0.0325404 + 0.142569i
\(705\) −7.00149e10 3.06755e11i −0.283422 1.24175i
\(706\) −6.63145e10 + 1.37703e11i −0.266925 + 0.554276i
\(707\) 5.68066e10 + 4.53018e10i 0.227364 + 0.181317i
\(708\) −1.58933e11 + 1.26745e11i −0.632529 + 0.504425i
\(709\) −2.52505e11 1.21600e11i −0.999275 0.481225i −0.138583 0.990351i \(-0.544255\pi\)
−0.860692 + 0.509126i \(0.829969\pi\)
\(710\) −1.67004e11 + 3.46788e11i −0.657194 + 1.36468i
\(711\) −1.10040e11 1.37985e11i −0.430597 0.539951i
\(712\) 1.26923e11 1.59156e11i 0.493879 0.619305i
\(713\) −1.40789e11 6.78004e10i −0.544766 0.262346i
\(714\) −1.11251e11 + 2.53924e10i −0.428068 + 0.0977038i
\(715\) 3.63030e9 8.28592e8i 0.0138905 0.00317042i
\(716\) 6.36511e10 + 5.07601e10i 0.242189 + 0.193139i
\(717\) −3.37913e10 7.01684e10i −0.127858 0.265500i
\(718\) 1.98016e11 + 4.51958e10i 0.745078 + 0.170059i
\(719\) −3.34486e11 + 1.61080e11i −1.25159 + 0.602734i −0.937938 0.346804i \(-0.887267\pi\)
−0.313653 + 0.949538i \(0.601553\pi\)
\(720\) −4.67429e10 + 3.72762e10i −0.173935 + 0.138708i
\(721\) 2.89971e11 6.61839e10i 1.07303 0.244913i
\(722\) −9.54103e10 + 7.60872e10i −0.351113 + 0.280003i
\(723\) −4.46242e10 + 1.95511e11i −0.163312 + 0.715515i
\(724\) −1.37973e11 −0.502156
\(725\) 2.47838e10i 0.0897050i
\(726\) −1.80981e10 + 7.92928e10i −0.0651457 + 0.285422i
\(727\) 3.14831e10 + 2.51070e10i 0.112704 + 0.0898786i 0.678220 0.734859i \(-0.262752\pi\)
−0.565516 + 0.824737i \(0.691323\pi\)
\(728\) 6.14760e9 + 2.96053e9i 0.0218867 + 0.0105401i
\(729\) 1.88918e11 9.09781e10i 0.668903 0.322127i
\(730\) 7.23684e10i 0.254834i
\(731\) 2.43604e11 1.71668e10i 0.853131 0.0601200i
\(732\) 1.34346e11 0.467931
\(733\) 1.52921e9 + 3.17544e9i 0.00529726 + 0.0109999i 0.903601 0.428376i \(-0.140914\pi\)
−0.898303 + 0.439376i \(0.855200\pi\)
\(734\) −5.92597e9 + 1.23054e10i −0.0204162 + 0.0423947i
\(735\) 2.42641e11 3.04262e11i 0.831408 1.04255i
\(736\) −9.69729e10 2.21334e10i −0.330475 0.0754288i
\(737\) 1.36426e11 0.462410
\(738\) 5.25786e10i 0.177249i
\(739\) 4.42849e11 + 1.01077e11i 1.48483 + 0.338904i 0.886645 0.462451i \(-0.153030\pi\)
0.598189 + 0.801355i \(0.295887\pi\)
\(740\) −3.30829e11 4.14847e11i −1.10326 1.38344i
\(741\) 3.30002e8 + 1.44583e9i 0.00109457 + 0.00479563i
\(742\) 9.35749e10 + 1.17339e11i 0.308705 + 0.387104i
\(743\) 2.45549e11 + 5.09887e11i 0.805717 + 1.67309i 0.737431 + 0.675422i \(0.236039\pi\)
0.0682857 + 0.997666i \(0.478247\pi\)
\(744\) 7.64999e10 3.35168e11i 0.249672 1.09388i
\(745\) −4.49387e11 + 2.16414e11i −1.45880 + 0.702521i
\(746\) 1.90114e11 2.38396e11i 0.613846 0.769739i
\(747\) −2.84863e10 1.24807e11i −0.0914859 0.400826i
\(748\) −1.77146e10 7.76128e10i −0.0565882 0.247929i
\(749\) 2.50355e10 5.19867e10i 0.0795479 0.165183i
\(750\) 2.40564e11 + 1.91843e11i 0.760301 + 0.606320i
\(751\) −2.70915e11 + 2.16047e11i −0.851674 + 0.679187i −0.948729 0.316092i \(-0.897629\pi\)
0.0970549 + 0.995279i \(0.469058\pi\)
\(752\) 6.30848e10 + 3.03801e10i 0.197267 + 0.0949986i
\(753\) −3.38656e10 + 7.03227e10i −0.105337 + 0.218734i
\(754\) 7.20365e7 + 9.03309e7i 0.000222878 + 0.000279480i
\(755\)