Properties

Label 37.8.f.a.7.10
Level $37$
Weight $8$
Character 37.7
Analytic conductor $11.558$
Analytic rank $0$
Dimension $132$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 37 \)
Weight: \( k \) \(=\) \( 8 \)
Character orbit: \([\chi]\) \(=\) 37.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(11.5582459429\)
Analytic rank: \(0\)
Dimension: \(132\)
Relative dimension: \(22\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 7.10
Character \(\chi\) \(=\) 37.7
Dual form 37.8.f.a.16.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.25018 + 1.54694i) q^{2} +(-41.1038 - 14.9605i) q^{3} +(-82.3827 + 69.1273i) q^{4} +(-92.7474 - 525.997i) q^{5} +197.841 q^{6} +(9.66574 + 54.8172i) q^{7} +(532.674 - 922.618i) q^{8} +(-209.638 - 175.907i) q^{9} +O(q^{10})\) \(q+(-4.25018 + 1.54694i) q^{2} +(-41.1038 - 14.9605i) q^{3} +(-82.3827 + 69.1273i) q^{4} +(-92.7474 - 525.997i) q^{5} +197.841 q^{6} +(9.66574 + 54.8172i) q^{7} +(532.674 - 922.618i) q^{8} +(-209.638 - 175.907i) q^{9} +(1207.88 + 2092.10i) q^{10} +(-2796.10 + 4842.99i) q^{11} +(4420.42 - 1608.90i) q^{12} +(-1376.96 + 1155.41i) q^{13} +(-125.880 - 218.030i) q^{14} +(-4056.93 + 23008.0i) q^{15} +(1553.63 - 8811.07i) q^{16} +(11629.7 + 9758.45i) q^{17} +(1163.11 + 423.339i) q^{18} +(4466.97 + 1625.84i) q^{19} +(44001.5 + 36921.7i) q^{20} +(422.796 - 2397.80i) q^{21} +(4392.12 - 24909.0i) q^{22} +(20502.0 + 35510.5i) q^{23} +(-35697.8 + 29954.0i) q^{24} +(-194657. + 70849.4i) q^{25} +(4064.98 - 7040.76i) q^{26} +(53816.8 + 93213.4i) q^{27} +(-4585.65 - 3847.82i) q^{28} +(95164.8 - 164830. i) q^{29} +(-18349.3 - 104064. i) q^{30} +93640.6 q^{31} +(30706.4 + 174145. i) q^{32} +(187384. - 157234. i) q^{33} +(-64523.9 - 23484.8i) q^{34} +(27937.2 - 10168.3i) q^{35} +29430.5 q^{36} +(-33264.6 - 306309. i) q^{37} -21500.5 q^{38} +(73883.8 - 26891.5i) q^{39} +(-534698. - 194614. i) q^{40} +(40983.2 - 34389.0i) q^{41} +(1912.28 + 10845.1i) q^{42} -828283. q^{43} +(-104432. - 592266. i) q^{44} +(-73083.1 + 126584. i) q^{45} +(-142070. - 119211. i) q^{46} +(171333. + 296757. i) q^{47} +(-195678. + 338925. i) q^{48} +(770966. - 280609. i) q^{49} +(717727. - 602245. i) q^{50} +(-332032. - 575095. i) q^{51} +(33567.6 - 190371. i) q^{52} +(-178016. + 1.00958e6i) q^{53} +(-372926. - 312922. i) q^{54} +(2.80673e6 + 1.02157e6i) q^{55} +(55724.0 + 20281.9i) q^{56} +(-159286. - 133656. i) q^{57} +(-149485. + 847772. i) q^{58} +(-444188. + 2.51911e6i) q^{59} +(-1.25626e6 - 2.17591e6i) q^{60} +(-291252. + 244389. i) q^{61} +(-397989. + 144856. i) q^{62} +(7616.41 - 13192.0i) q^{63} +(172709. + 299140. i) q^{64} +(735450. + 617116. i) q^{65} +(-553185. + 958144. i) q^{66} +(290814. + 1.64929e6i) q^{67} -1.63266e6 q^{68} +(-311453. - 1.76634e6i) q^{69} +(-103008. + 86434.1i) q^{70} +(323531. + 117755. i) q^{71} +(-273963. + 99714.5i) q^{72} +399138. q^{73} +(615222. + 1.25041e6i) q^{74} +9.06108e6 q^{75} +(-480391. + 174848. i) q^{76} +(-292505. - 106463. i) q^{77} +(-272420. + 228587. i) q^{78} +(437609. + 2.48180e6i) q^{79} -4.77869e6 q^{80} +(-713621. - 4.04714e6i) q^{81} +(-120988. + 209558. i) q^{82} +(-4.43708e6 - 3.72315e6i) q^{83} +(130922. + 226764. i) q^{84} +(4.05429e6 - 7.02224e6i) q^{85} +(3.52035e6 - 1.28130e6i) q^{86} +(-6.37758e6 + 5.35143e6i) q^{87} +(2.97882e6 + 5.15947e6i) q^{88} +(-2.20731e6 + 1.25183e7i) q^{89} +(114799. - 651058. i) q^{90} +(-76645.5 - 64313.2i) q^{91} +(-4.14376e6 - 1.50820e6i) q^{92} +(-3.84898e6 - 1.40091e6i) q^{93} +(-1.18726e6 - 996229. i) q^{94} +(440888. - 2.50040e6i) q^{95} +(1.34315e6 - 7.61739e6i) q^{96} +(194163. + 336299. i) q^{97} +(-2.84266e6 + 2.38527e6i) q^{98} +(1.43808e6 - 523420. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 132q + 15q^{2} + 33q^{3} - 279q^{4} + 576q^{5} - 12q^{6} - 597q^{7} - 3750q^{8} - 3243q^{9} + O(q^{10}) \) \( 132q + 15q^{2} + 33q^{3} - 279q^{4} + 576q^{5} - 12q^{6} - 597q^{7} - 3750q^{8} - 3243q^{9} - 6003q^{10} - 15975q^{11} - 4635q^{12} - 15981q^{13} - 13491q^{14} + 38493q^{15} - 74151q^{16} + 37698q^{17} - 20100q^{18} - 66102q^{19} - 176184q^{20} - 142530q^{21} + 132783q^{22} + 140631q^{23} - 38793q^{24} - 544092q^{25} - 423147q^{26} + 130557q^{27} + 603813q^{28} + 22890q^{29} - 319860q^{30} - 1288044q^{31} - 217866q^{32} + 112344q^{33} + 812019q^{34} + 1479252q^{35} + 8118132q^{36} - 1664550q^{37} + 305010q^{38} - 1580340q^{39} - 4681425q^{40} - 2956593q^{41} - 3553029q^{42} - 1023528q^{43} + 6409524q^{44} + 1803336q^{45} + 10219434q^{46} - 2607204q^{47} - 2984043q^{48} - 6819531q^{49} + 5724015q^{50} - 1675833q^{51} + 11768451q^{52} + 2280177q^{53} - 7803897q^{54} - 3542196q^{55} + 12168843q^{56} - 85203q^{57} - 12425487q^{58} - 7014600q^{59} + 2356788q^{60} + 10840332q^{61} + 6334368q^{62} - 3331359q^{63} - 26175624q^{64} - 573195q^{65} - 36720249q^{66} + 6642918q^{67} - 25277742q^{68} - 1236438q^{69} - 27401982q^{70} + 20311041q^{71} + 40093005q^{72} + 38643780q^{73} - 9531q^{74} + 16639446q^{75} + 5787405q^{76} - 316971q^{77} + 9363381q^{78} + 17712534q^{79} - 74410128q^{80} - 10355109q^{81} - 16702371q^{82} - 31021176q^{83} - 61626192q^{84} + 23576445q^{85} + 18579072q^{86} + 104996631q^{87} + 57279702q^{88} - 13471320q^{89} + 56306910q^{90} - 2335911q^{91} - 178133436q^{92} + 24366258q^{93} + 77086020q^{94} - 26254407q^{95} + 152523921q^{96} + 14408415q^{97} - 521205q^{98} + 58375668q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.25018 + 1.54694i −0.375666 + 0.136731i −0.522951 0.852363i \(-0.675169\pi\)
0.147285 + 0.989094i \(0.452947\pi\)
\(3\) −41.1038 14.9605i −0.878936 0.319907i −0.137156 0.990550i \(-0.543796\pi\)
−0.741780 + 0.670643i \(0.766018\pi\)
\(4\) −82.3827 + 69.1273i −0.643615 + 0.540057i
\(5\) −92.7474 525.997i −0.331823 1.88186i −0.456590 0.889677i \(-0.650929\pi\)
0.124767 0.992186i \(-0.460182\pi\)
\(6\) 197.841 0.373928
\(7\) 9.66574 + 54.8172i 0.0106510 + 0.0604051i 0.989670 0.143364i \(-0.0457920\pi\)
−0.979019 + 0.203769i \(0.934681\pi\)
\(8\) 532.674 922.618i 0.367829 0.637099i
\(9\) −209.638 175.907i −0.0958562 0.0804329i
\(10\) 1207.88 + 2092.10i 0.381964 + 0.661582i
\(11\) −2796.10 + 4842.99i −0.633401 + 1.09708i 0.353451 + 0.935453i \(0.385008\pi\)
−0.986852 + 0.161629i \(0.948325\pi\)
\(12\) 4420.42 1608.90i 0.738464 0.268779i
\(13\) −1376.96 + 1155.41i −0.173828 + 0.145859i −0.725551 0.688168i \(-0.758415\pi\)
0.551723 + 0.834027i \(0.313971\pi\)
\(14\) −125.880 218.030i −0.0122605 0.0212358i
\(15\) −4056.93 + 23008.0i −0.310369 + 1.76019i
\(16\) 1553.63 8811.07i 0.0948260 0.537785i
\(17\) 11629.7 + 9758.45i 0.574111 + 0.481737i 0.883007 0.469359i \(-0.155515\pi\)
−0.308896 + 0.951096i \(0.599959\pi\)
\(18\) 1163.11 + 423.339i 0.0470076 + 0.0171094i
\(19\) 4466.97 + 1625.84i 0.149408 + 0.0543802i 0.415642 0.909528i \(-0.363557\pi\)
−0.266233 + 0.963909i \(0.585779\pi\)
\(20\) 44001.5 + 36921.7i 1.22988 + 1.03199i
\(21\) 422.796 2397.80i 0.00996239 0.0564995i
\(22\) 4392.12 24909.0i 0.0879418 0.498743i
\(23\) 20502.0 + 35510.5i 0.351357 + 0.608569i 0.986488 0.163836i \(-0.0523869\pi\)
−0.635130 + 0.772405i \(0.719054\pi\)
\(24\) −35697.8 + 29954.0i −0.527111 + 0.442298i
\(25\) −194657. + 70849.4i −2.49161 + 0.906872i
\(26\) 4064.98 7040.76i 0.0453578 0.0785620i
\(27\) 53816.8 + 93213.4i 0.526193 + 0.911392i
\(28\) −4585.65 3847.82i −0.0394773 0.0331254i
\(29\) 95164.8 164830.i 0.724575 1.25500i −0.234574 0.972098i \(-0.575370\pi\)
0.959149 0.282902i \(-0.0912971\pi\)
\(30\) −18349.3 104064.i −0.124078 0.703681i
\(31\) 93640.6 0.564544 0.282272 0.959334i \(-0.408912\pi\)
0.282272 + 0.959334i \(0.408912\pi\)
\(32\) 30706.4 + 174145.i 0.165655 + 0.939476i
\(33\) 187384. 157234.i 0.907683 0.761636i
\(34\) −64523.9 23484.8i −0.281543 0.102473i
\(35\) 27937.2 10168.3i 0.110140 0.0400876i
\(36\) 29430.5 0.105133
\(37\) −33264.6 306309.i −0.107963 0.994155i
\(38\) −21500.5 −0.0635631
\(39\) 73883.8 26891.5i 0.199445 0.0725920i
\(40\) −534698. 194614.i −1.32099 0.480800i
\(41\) 40983.2 34389.0i 0.0928672 0.0779248i −0.595172 0.803598i \(-0.702916\pi\)
0.688039 + 0.725673i \(0.258472\pi\)
\(42\) 1912.28 + 10845.1i 0.00398272 + 0.0225871i
\(43\) −828283. −1.58869 −0.794345 0.607467i \(-0.792186\pi\)
−0.794345 + 0.607467i \(0.792186\pi\)
\(44\) −104432. 592266.i −0.184821 1.04817i
\(45\) −73083.1 + 126584.i −0.119556 + 0.207078i
\(46\) −142070. 119211.i −0.215203 0.180577i
\(47\) 171333. + 296757.i 0.240712 + 0.416926i 0.960917 0.276835i \(-0.0892857\pi\)
−0.720205 + 0.693761i \(0.755952\pi\)
\(48\) −195678. + 338925.i −0.255387 + 0.442343i
\(49\) 770966. 280609.i 0.936157 0.340733i
\(50\) 717727. 602245.i 0.812016 0.681362i
\(51\) −332032. 575095.i −0.350496 0.607078i
\(52\) 33567.6 190371.i 0.0331061 0.187754i
\(53\) −178016. + 1.00958e6i −0.164245 + 0.931482i 0.785593 + 0.618743i \(0.212358\pi\)
−0.949839 + 0.312739i \(0.898753\pi\)
\(54\) −372926. 312922.i −0.322289 0.270432i
\(55\) 2.80673e6 + 1.02157e6i 2.27474 + 0.827937i
\(56\) 55724.0 + 20281.9i 0.0424018 + 0.0154330i
\(57\) −159286. 133656.i −0.113924 0.0955934i
\(58\) −149485. + 847772.i −0.100600 + 0.570533i
\(59\) −444188. + 2.51911e6i −0.281569 + 1.59686i 0.435722 + 0.900081i \(0.356493\pi\)
−0.717290 + 0.696774i \(0.754618\pi\)
\(60\) −1.25626e6 2.17591e6i −0.750845 1.30050i
\(61\) −291252. + 244389.i −0.164291 + 0.137857i −0.721227 0.692699i \(-0.756421\pi\)
0.556936 + 0.830556i \(0.311977\pi\)
\(62\) −397989. + 144856.i −0.212080 + 0.0771909i
\(63\) 7616.41 13192.0i 0.00383759 0.00664690i
\(64\) 172709. + 299140.i 0.0823539 + 0.142641i
\(65\) 735450. + 617116.i 0.332167 + 0.278721i
\(66\) −553185. + 958144.i −0.236846 + 0.410230i
\(67\) 290814. + 1.64929e6i 0.118128 + 0.669938i 0.985154 + 0.171674i \(0.0549177\pi\)
−0.867026 + 0.498264i \(0.833971\pi\)
\(68\) −1.63266e6 −0.629672
\(69\) −311453. 1.76634e6i −0.114135 0.647294i
\(70\) −103008. + 86434.1i −0.0358946 + 0.0301191i
\(71\) 323531. + 117755.i 0.107278 + 0.0390460i 0.395102 0.918637i \(-0.370709\pi\)
−0.287823 + 0.957683i \(0.592932\pi\)
\(72\) −273963. + 99714.5i −0.0865025 + 0.0314843i
\(73\) 399138. 0.120086 0.0600430 0.998196i \(-0.480876\pi\)
0.0600430 + 0.998196i \(0.480876\pi\)
\(74\) 615222. + 1.25041e6i 0.176490 + 0.358708i
\(75\) 9.06108e6 2.48008
\(76\) −480391. + 174848.i −0.125530 + 0.0456891i
\(77\) −292505. 106463.i −0.0730157 0.0265756i
\(78\) −272420. + 228587.i −0.0649991 + 0.0545407i
\(79\) 437609. + 2.48180e6i 0.0998600 + 0.566334i 0.993149 + 0.116852i \(0.0372803\pi\)
−0.893289 + 0.449482i \(0.851609\pi\)
\(80\) −4.77869e6 −1.04350
\(81\) −713621. 4.04714e6i −0.149200 0.846157i
\(82\) −120988. + 209558.i −0.0242323 + 0.0419716i
\(83\) −4.43708e6 3.72315e6i −0.851772 0.714722i 0.108407 0.994107i \(-0.465425\pi\)
−0.960179 + 0.279385i \(0.909870\pi\)
\(84\) 130922. + 226764.i 0.0241010 + 0.0417442i
\(85\) 4.05429e6 7.02224e6i 0.716059 1.24025i
\(86\) 3.52035e6 1.28130e6i 0.596817 0.217224i
\(87\) −6.37758e6 + 5.35143e6i −1.03834 + 0.871269i
\(88\) 2.97882e6 + 5.15947e6i 0.465967 + 0.807078i
\(89\) −2.20731e6 + 1.25183e7i −0.331893 + 1.88226i 0.124092 + 0.992271i \(0.460398\pi\)
−0.455985 + 0.889988i \(0.650713\pi\)
\(90\) 114799. 651058.i 0.0165993 0.0941392i
\(91\) −76645.5 64313.2i −0.0106621 0.00894654i
\(92\) −4.14376e6 1.50820e6i −0.554800 0.201931i
\(93\) −3.84898e6 1.40091e6i −0.496198 0.180601i
\(94\) −1.18726e6 996229.i −0.147434 0.123712i
\(95\) 440888. 2.50040e6i 0.0527589 0.299211i
\(96\) 1.34315e6 7.61739e6i 0.154944 0.878733i
\(97\) 194163. + 336299.i 0.0216005 + 0.0374132i 0.876624 0.481177i \(-0.159790\pi\)
−0.855023 + 0.518590i \(0.826457\pi\)
\(98\) −2.84266e6 + 2.38527e6i −0.305094 + 0.256004i
\(99\) 1.43808e6 523420.i 0.148957 0.0542159i
\(100\) 1.11388e7 1.92929e7i 1.11388 1.92929i
\(101\) −1.95559e6 3.38718e6i −0.188866 0.327125i 0.756007 0.654564i \(-0.227148\pi\)
−0.944872 + 0.327439i \(0.893814\pi\)
\(102\) 2.30083e6 + 1.93063e6i 0.214676 + 0.180135i
\(103\) 8.30245e6 1.43803e7i 0.748645 1.29669i −0.199828 0.979831i \(-0.564038\pi\)
0.948472 0.316860i \(-0.102628\pi\)
\(104\) 332529. + 1.88586e6i 0.0289876 + 0.164397i
\(105\) −1.30045e6 −0.109630
\(106\) −805156. 4.56627e6i −0.0656613 0.372384i
\(107\) 1.49660e7 1.25580e7i 1.18103 0.991005i 0.181062 0.983472i \(-0.442047\pi\)
0.999972 0.00753277i \(-0.00239778\pi\)
\(108\) −1.08772e7 3.95896e6i −0.830869 0.302412i
\(109\) −2.17765e7 + 7.92601e6i −1.61063 + 0.586221i −0.981565 0.191131i \(-0.938784\pi\)
−0.629065 + 0.777352i \(0.716562\pi\)
\(110\) −1.35094e7 −0.967746
\(111\) −3.21525e6 + 1.30881e7i −0.223144 + 0.908337i
\(112\) 498015. 0.0334949
\(113\) −1.39796e7 + 5.08817e6i −0.911425 + 0.331732i −0.754822 0.655930i \(-0.772277\pi\)
−0.156603 + 0.987662i \(0.550054\pi\)
\(114\) 883750. + 321659.i 0.0558679 + 0.0203343i
\(115\) 1.67769e7 1.40775e7i 1.02865 0.863144i
\(116\) 3.55434e6 + 2.01576e7i 0.211425 + 1.19905i
\(117\) 491907. 0.0283944
\(118\) −2.00904e6 1.13938e7i −0.112564 0.638384i
\(119\) −422521. + 731828.i −0.0229845 + 0.0398102i
\(120\) 1.90666e7 + 1.59988e7i 1.00725 + 0.845185i
\(121\) −5.89280e6 1.02066e7i −0.302394 0.523761i
\(122\) 859817. 1.48925e6i 0.0428693 0.0742518i
\(123\) −2.19904e6 + 800386.i −0.106553 + 0.0387821i
\(124\) −7.71436e6 + 6.47312e6i −0.363349 + 0.304886i
\(125\) 3.44568e7 + 5.96809e7i 1.57794 + 2.73307i
\(126\) −11963.9 + 67850.5i −0.000532813 + 0.00302173i
\(127\) −5.24678e6 + 2.97560e7i −0.227290 + 1.28902i 0.630969 + 0.775808i \(0.282657\pi\)
−0.858259 + 0.513216i \(0.828454\pi\)
\(128\) −1.85358e7 1.55533e7i −0.781223 0.655524i
\(129\) 3.40455e7 + 1.23916e7i 1.39636 + 0.508232i
\(130\) −4.08043e6 1.48516e6i −0.162894 0.0592885i
\(131\) 6.38172e6 + 5.35490e6i 0.248021 + 0.208114i 0.758319 0.651883i \(-0.226021\pi\)
−0.510299 + 0.859997i \(0.670465\pi\)
\(132\) −4.56805e6 + 2.59067e7i −0.172871 + 0.980401i
\(133\) −45947.5 + 260581.i −0.00169348 + 0.00960423i
\(134\) −3.78736e6 6.55989e6i −0.135978 0.235521i
\(135\) 4.40386e7 3.69528e7i 1.54051 1.29264i
\(136\) 1.51981e7 5.53167e6i 0.518089 0.188569i
\(137\) −1.88241e7 + 3.26043e7i −0.625449 + 1.08331i 0.363005 + 0.931787i \(0.381751\pi\)
−0.988454 + 0.151522i \(0.951582\pi\)
\(138\) 4.05614e6 + 7.02545e6i 0.131382 + 0.227561i
\(139\) −2.49094e7 2.09015e7i −0.786704 0.660123i 0.158223 0.987403i \(-0.449423\pi\)
−0.944927 + 0.327280i \(0.893868\pi\)
\(140\) −1.59863e6 + 2.76891e6i −0.0492380 + 0.0852828i
\(141\) −2.60277e6 1.47611e7i −0.0781933 0.443456i
\(142\) −1.55722e6 −0.0456396
\(143\) −1.74550e6 9.89925e6i −0.0499166 0.283091i
\(144\) −1.87563e6 + 1.57384e6i −0.0523453 + 0.0439229i
\(145\) −9.55265e7 3.47688e7i −2.60217 0.947112i
\(146\) −1.69640e6 + 617441.i −0.0451123 + 0.0164195i
\(147\) −3.58877e7 −0.931825
\(148\) 2.39148e7 + 2.29351e7i 0.606387 + 0.581547i
\(149\) 6.80778e7 1.68598 0.842992 0.537926i \(-0.180792\pi\)
0.842992 + 0.537926i \(0.180792\pi\)
\(150\) −3.85112e7 + 1.40169e7i −0.931682 + 0.339105i
\(151\) 1.58413e7 + 5.76577e6i 0.374431 + 0.136282i 0.522379 0.852713i \(-0.325045\pi\)
−0.147948 + 0.988995i \(0.547267\pi\)
\(152\) 3.87947e6 3.25526e6i 0.0896024 0.0751853i
\(153\) −721438. 4.09148e6i −0.0162847 0.0923549i
\(154\) 1.40789e6 0.0310632
\(155\) −8.68492e6 4.92546e7i −0.187329 1.06240i
\(156\) −4.22781e6 + 7.32278e6i −0.0891619 + 0.154433i
\(157\) 1.84672e7 + 1.54959e7i 0.380849 + 0.319571i 0.813036 0.582214i \(-0.197813\pi\)
−0.432186 + 0.901784i \(0.642258\pi\)
\(158\) −5.69911e6 9.87115e6i −0.114950 0.199099i
\(159\) 2.24210e7 3.88343e7i 0.442349 0.766170i
\(160\) 8.87517e7 3.23030e7i 1.71300 0.623480i
\(161\) −1.74842e6 + 1.46710e6i −0.0330183 + 0.0277056i
\(162\) 9.29370e6 + 1.60972e7i 0.171746 + 0.297472i
\(163\) −5.56337e6 + 3.15514e7i −0.100619 + 0.570640i 0.892261 + 0.451521i \(0.149118\pi\)
−0.992880 + 0.119120i \(0.961993\pi\)
\(164\) −999089. + 5.66611e6i −0.0176869 + 0.100307i
\(165\) −1.00084e8 8.39804e7i −1.73449 1.45541i
\(166\) 2.46178e7 + 8.96016e6i 0.417707 + 0.152033i
\(167\) 3.51881e6 + 1.28074e6i 0.0584640 + 0.0212792i 0.371087 0.928598i \(-0.378985\pi\)
−0.312623 + 0.949877i \(0.601208\pi\)
\(168\) −1.98704e6 1.66732e6i −0.0323313 0.0271292i
\(169\) −1.03351e7 + 5.86133e7i −0.164707 + 0.934099i
\(170\) −6.36849e6 + 3.61175e7i −0.0994181 + 0.563828i
\(171\) −650447. 1.12661e6i −0.00994777 0.0172300i
\(172\) 6.82362e7 5.72569e7i 1.02250 0.857983i
\(173\) −1.15595e8 + 4.20731e7i −1.69737 + 0.617794i −0.995522 0.0945281i \(-0.969866\pi\)
−0.701853 + 0.712322i \(0.747644\pi\)
\(174\) 1.88275e7 3.26102e7i 0.270939 0.469279i
\(175\) −5.76527e6 9.98574e6i −0.0813179 0.140847i
\(176\) 3.83278e7 + 3.21609e7i 0.529932 + 0.444666i
\(177\) 5.59451e7 9.68998e7i 0.758326 1.31346i
\(178\) −9.98353e6 5.66194e7i −0.132683 0.752481i
\(179\) −8.24564e7 −1.07458 −0.537290 0.843397i \(-0.680552\pi\)
−0.537290 + 0.843397i \(0.680552\pi\)
\(180\) −2.72960e6 1.54803e7i −0.0348855 0.197846i
\(181\) 2.44524e7 2.05180e7i 0.306511 0.257194i −0.476537 0.879154i \(-0.658108\pi\)
0.783048 + 0.621961i \(0.213664\pi\)
\(182\) 425245. + 154777.i 0.00522865 + 0.00190307i
\(183\) 1.56278e7 5.68804e6i 0.188503 0.0686094i
\(184\) 4.36835e7 0.516958
\(185\) −1.58032e8 + 4.59065e7i −1.83504 + 0.533056i
\(186\) 1.85260e7 0.211099
\(187\) −7.97779e7 + 2.90368e7i −0.892148 + 0.324715i
\(188\) −3.46289e7 1.26039e7i −0.380090 0.138341i
\(189\) −4.58952e6 + 3.85106e6i −0.0494482 + 0.0414920i
\(190\) 1.99411e6 + 1.13092e7i 0.0210917 + 0.119617i
\(191\) 5.30280e7 0.550666 0.275333 0.961349i \(-0.411212\pi\)
0.275333 + 0.961349i \(0.411212\pi\)
\(192\) −2.62368e6 1.48796e7i −0.0267520 0.151718i
\(193\) 4.36558e7 7.56140e7i 0.437110 0.757097i −0.560355 0.828252i \(-0.689335\pi\)
0.997465 + 0.0711555i \(0.0226687\pi\)
\(194\) −1.34546e6 1.12897e6i −0.0132301 0.0111014i
\(195\) −2.09974e7 3.63685e7i −0.202789 0.351240i
\(196\) −4.41165e7 + 7.64121e7i −0.418509 + 0.724879i
\(197\) 1.64426e8 5.98460e7i 1.53228 0.557703i 0.568100 0.822960i \(-0.307679\pi\)
0.964178 + 0.265256i \(0.0854566\pi\)
\(198\) −5.30241e6 + 4.44925e6i −0.0485451 + 0.0407342i
\(199\) 6.84654e7 + 1.18586e8i 0.615865 + 1.06671i 0.990232 + 0.139429i \(0.0445267\pi\)
−0.374367 + 0.927281i \(0.622140\pi\)
\(200\) −3.83218e7 + 2.17334e8i −0.338720 + 1.92098i
\(201\) 1.27207e7 7.21427e7i 0.110490 0.626623i
\(202\) 1.35514e7 + 1.13709e7i 0.115679 + 0.0970659i
\(203\) 9.95536e6 + 3.62346e6i 0.0835259 + 0.0304009i
\(204\) 6.71084e7 + 2.44255e7i 0.553441 + 0.201436i
\(205\) −2.18896e7 1.83675e7i −0.177459 0.148906i
\(206\) −1.30415e7 + 7.39620e7i −0.103942 + 0.589486i
\(207\) 1.94855e6 1.10508e7i 0.0152692 0.0865958i
\(208\) 8.04108e6 + 1.39276e7i 0.0619574 + 0.107313i
\(209\) −2.03640e7 + 1.70875e7i −0.154295 + 0.129469i
\(210\) 5.52713e6 2.01171e6i 0.0411843 0.0149899i
\(211\) 7.58927e7 1.31450e8i 0.556175 0.963323i −0.441636 0.897194i \(-0.645602\pi\)
0.997811 0.0661289i \(-0.0210648\pi\)
\(212\) −5.51240e7 9.54776e7i −0.397343 0.688218i
\(213\) −1.15366e7 9.68039e6i −0.0817995 0.0686379i
\(214\) −4.41817e7 + 7.65250e7i −0.308173 + 0.533771i
\(215\) 7.68211e7 + 4.35674e8i 0.527164 + 2.98970i
\(216\) 1.14667e8 0.774196
\(217\) 905106. + 5.13311e6i 0.00601299 + 0.0341013i
\(218\) 8.02930e7 6.73739e7i 0.524904 0.440447i
\(219\) −1.64061e7 5.97132e6i −0.105548 0.0384163i
\(220\) −3.01844e8 + 1.09862e8i −1.91119 + 0.695615i
\(221\) −2.72886e7 −0.170062
\(222\) −6.58111e6 6.06006e7i −0.0403704 0.371742i
\(223\) −6.23253e6 −0.0376355 −0.0188177 0.999823i \(-0.505990\pi\)
−0.0188177 + 0.999823i \(0.505990\pi\)
\(224\) −9.24932e6 + 3.36648e6i −0.0549847 + 0.0200128i
\(225\) 5.32703e7 + 1.93888e7i 0.311779 + 0.113478i
\(226\) 5.15448e7 4.32512e7i 0.297033 0.249241i
\(227\) 1.38894e7 + 7.87708e7i 0.0788122 + 0.446966i 0.998521 + 0.0543654i \(0.0173136\pi\)
−0.919709 + 0.392601i \(0.871575\pi\)
\(228\) 2.23617e7 0.124949
\(229\) −5.80594e6 3.29271e7i −0.0319483 0.181188i 0.964658 0.263506i \(-0.0848788\pi\)
−0.996606 + 0.0823178i \(0.973768\pi\)
\(230\) −4.95278e7 + 8.57847e7i −0.268412 + 0.464903i
\(231\) 1.04303e7 + 8.75208e6i 0.0556745 + 0.0467164i
\(232\) −1.01384e8 1.75601e8i −0.533040 0.923252i
\(233\) −86162.4 + 149238.i −0.000446244 + 0.000772917i −0.866248 0.499613i \(-0.833475\pi\)
0.865802 + 0.500386i \(0.166809\pi\)
\(234\) −2.09069e6 + 760949.i −0.0106668 + 0.00388240i
\(235\) 1.40203e8 1.17644e8i 0.704723 0.591333i
\(236\) −1.37546e8 2.38237e8i −0.681171 1.17982i
\(237\) 1.91418e7 1.08558e8i 0.0934035 0.529717i
\(238\) 663697. 3.76401e6i 0.00319117 0.0180981i
\(239\) 2.62765e8 + 2.20486e8i 1.24502 + 1.04469i 0.997115 + 0.0759087i \(0.0241858\pi\)
0.247903 + 0.968785i \(0.420259\pi\)
\(240\) 1.96422e8 + 7.14918e7i 0.917173 + 0.333824i
\(241\) 1.03751e8 + 3.77623e7i 0.477456 + 0.173780i 0.569527 0.821973i \(-0.307126\pi\)
−0.0920711 + 0.995752i \(0.529349\pi\)
\(242\) 4.08344e7 + 3.42642e7i 0.185214 + 0.155413i
\(243\) 9.66086e6 5.47895e7i 0.0431911 0.244949i
\(244\) 7.10014e6 4.02669e7i 0.0312898 0.177453i
\(245\) −2.19104e8 3.79500e8i −0.951852 1.64866i
\(246\) 8.10817e6 6.80356e6i 0.0347256 0.0291382i
\(247\) −8.02934e6 + 2.92244e6i −0.0339032 + 0.0123398i
\(248\) 4.98799e7 8.63945e7i 0.207656 0.359671i
\(249\) 1.26680e8 + 2.19417e8i 0.520009 + 0.900682i
\(250\) −2.38770e8 2.00352e8i −0.966473 0.810967i
\(251\) −1.79535e8 + 3.10964e8i −0.716624 + 1.24123i 0.245707 + 0.969344i \(0.420980\pi\)
−0.962330 + 0.271884i \(0.912353\pi\)
\(252\) 284467. + 1.61329e6i 0.00111977 + 0.00635056i
\(253\) −2.29303e8 −0.890200
\(254\) −2.37309e7 1.34585e8i −0.0908649 0.515320i
\(255\) −2.71703e8 + 2.27986e8i −1.02613 + 0.861029i
\(256\) 6.12932e7 + 2.23089e7i 0.228335 + 0.0831072i
\(257\) −2.60075e8 + 9.46597e7i −0.955726 + 0.347856i −0.772357 0.635188i \(-0.780922\pi\)
−0.183369 + 0.983044i \(0.558700\pi\)
\(258\) −1.63869e8 −0.594055
\(259\) 1.64695e7 4.78418e6i 0.0589021 0.0171103i
\(260\) −1.03248e8 −0.364313
\(261\) −4.89449e7 + 1.78145e7i −0.170398 + 0.0620199i
\(262\) −3.54071e7 1.28871e7i −0.121629 0.0442692i
\(263\) 1.54733e8 1.29836e8i 0.524489 0.440099i −0.341704 0.939808i \(-0.611004\pi\)
0.866193 + 0.499709i \(0.166560\pi\)
\(264\) −4.52523e7 2.56638e8i −0.151365 0.858436i
\(265\) 5.47546e8 1.80742
\(266\) −207818. 1.17859e6i −0.000677014 0.00383954i
\(267\) 2.78009e8 4.81525e8i 0.893859 1.54821i
\(268\) −1.37969e8 1.15770e8i −0.437834 0.367386i
\(269\) 2.26814e8 + 3.92853e8i 0.710454 + 1.23054i 0.964687 + 0.263399i \(0.0848437\pi\)
−0.254233 + 0.967143i \(0.581823\pi\)
\(270\) −1.30008e8 + 2.25181e8i −0.401974 + 0.696239i
\(271\) −3.16087e8 + 1.15046e8i −0.964747 + 0.351139i −0.775892 0.630866i \(-0.782700\pi\)
−0.188855 + 0.982005i \(0.560478\pi\)
\(272\) 1.04051e8 8.73088e7i 0.313511 0.263067i
\(273\) 2.18826e6 + 3.79017e6i 0.00650922 + 0.0112743i
\(274\) 2.95689e7 1.67694e8i 0.0868377 0.492481i
\(275\) 2.01158e8 1.14082e9i 0.583275 3.30792i
\(276\) 1.47760e8 + 1.23986e8i 0.423035 + 0.354969i
\(277\) −1.35626e8 4.93638e7i −0.383410 0.139550i 0.143122 0.989705i \(-0.454286\pi\)
−0.526532 + 0.850155i \(0.676508\pi\)
\(278\) 1.38203e8 + 5.03016e7i 0.385797 + 0.140419i
\(279\) −1.96306e7 1.64720e7i −0.0541151 0.0454080i
\(280\) 5.49994e6 3.11917e7i 0.0149729 0.0849154i
\(281\) −1.09438e8 + 6.20652e8i −0.294235 + 1.66869i 0.376060 + 0.926595i \(0.377279\pi\)
−0.670295 + 0.742095i \(0.733832\pi\)
\(282\) 3.38967e7 + 5.87108e7i 0.0900089 + 0.155900i
\(283\) 7.21423e6 6.05345e6i 0.0189207 0.0158764i −0.633278 0.773924i \(-0.718291\pi\)
0.652199 + 0.758048i \(0.273847\pi\)
\(284\) −3.47934e7 + 1.26638e7i −0.0901329 + 0.0328057i
\(285\) −5.55296e7 + 9.61800e7i −0.142091 + 0.246109i
\(286\) 2.27322e7 + 3.93734e7i 0.0574593 + 0.0995225i
\(287\) 2.28124e6 + 1.91419e6i 0.00569619 + 0.00477967i
\(288\) 2.41960e7 4.19088e7i 0.0596857 0.103379i
\(289\) −3.12327e7 1.77129e8i −0.0761145 0.431667i
\(290\) 4.59789e8 1.10705
\(291\) −2.94959e6 1.67279e7i −0.00701675 0.0397940i
\(292\) −3.28820e7 + 2.75913e7i −0.0772892 + 0.0648533i
\(293\) −2.82569e8 1.02847e8i −0.656277 0.238865i −0.00764890 0.999971i \(-0.502435\pi\)
−0.648628 + 0.761105i \(0.724657\pi\)
\(294\) 1.52529e8 5.55160e7i 0.350055 0.127410i
\(295\) 1.36624e9 3.09850
\(296\) −3.00326e8 1.32472e8i −0.673087 0.296896i
\(297\) −6.01909e8 −1.33316
\(298\) −2.89343e8 + 1.05312e8i −0.633367 + 0.230527i
\(299\) −6.92595e7 2.52084e7i −0.149841 0.0545376i
\(300\) −7.46477e8 + 6.26368e8i −1.59622 + 1.33938i
\(301\) −8.00597e6 4.54041e7i −0.0169212 0.0959649i
\(302\) −7.62477e7 −0.159295
\(303\) 2.97080e7 + 1.68483e8i 0.0613514 + 0.347941i
\(304\) 2.12654e7 3.68328e7i 0.0434127 0.0751929i
\(305\) 1.55561e8 + 1.30531e8i 0.313943 + 0.263430i
\(306\) 9.39550e6 + 1.62735e7i 0.0187454 + 0.0324680i
\(307\) −3.20662e8 + 5.55402e8i −0.632503 + 1.09553i 0.354535 + 0.935043i \(0.384639\pi\)
−0.987038 + 0.160485i \(0.948694\pi\)
\(308\) 3.14569e7 1.14494e7i 0.0613463 0.0223282i
\(309\) −5.56398e8 + 4.66874e8i −1.07283 + 0.900212i
\(310\) 1.13106e8 + 1.95906e8i 0.215636 + 0.373492i
\(311\) 1.26325e8 7.16425e8i 0.238138 1.35055i −0.597767 0.801670i \(-0.703945\pi\)
0.835904 0.548875i \(-0.184944\pi\)
\(312\) 1.45454e7 8.24909e7i 0.0271134 0.153768i
\(313\) 3.23785e8 + 2.71688e8i 0.596831 + 0.500800i 0.890425 0.455130i \(-0.150407\pi\)
−0.293594 + 0.955930i \(0.594852\pi\)
\(314\) −1.02460e8 3.72924e7i −0.186767 0.0679778i
\(315\) −7.64536e6 2.78268e6i −0.0137820 0.00501622i
\(316\) −2.07612e8 1.74207e8i −0.370124 0.310571i
\(317\) 5.63948e7 3.19831e8i 0.0994332 0.563914i −0.893865 0.448336i \(-0.852017\pi\)
0.993298 0.115578i \(-0.0368720\pi\)
\(318\) −3.52189e7 + 1.99736e8i −0.0614159 + 0.348307i
\(319\) 5.32181e8 + 9.21764e8i 0.917893 + 1.58984i
\(320\) 1.41329e8 1.18589e8i 0.241104 0.202311i
\(321\) −8.03032e8 + 2.92280e8i −1.35508 + 0.493209i
\(322\) 5.16158e6 8.94012e6i 0.00861563 0.0149227i
\(323\) 3.60836e7 + 6.24987e7i 0.0595801 + 0.103196i
\(324\) 3.38558e8 + 2.84084e8i 0.553001 + 0.464023i
\(325\) 1.86175e8 3.22465e8i 0.300836 0.521064i
\(326\) −2.51628e7 1.42705e8i −0.0402251 0.228128i
\(327\) 1.01367e9 1.60318
\(328\) −9.89722e6 5.61299e7i −0.0154866 0.0878286i
\(329\) −1.46113e7 + 1.22604e7i −0.0226206 + 0.0189809i
\(330\) 5.55287e8 + 2.02108e8i 0.850587 + 0.309588i
\(331\) −5.36380e7 + 1.95226e7i −0.0812969 + 0.0295897i −0.382348 0.924018i \(-0.624885\pi\)
0.301052 + 0.953608i \(0.402662\pi\)
\(332\) 6.22910e8 0.934204
\(333\) −4.69084e7 + 7.00654e7i −0.0696138 + 0.103980i
\(334\) −1.69368e7 −0.0248725
\(335\) 8.40548e8 3.05934e8i 1.22153 0.444602i
\(336\) −2.04703e7 7.45057e6i −0.0294399 0.0107152i
\(337\) −6.49072e8 + 5.44636e8i −0.923822 + 0.775179i −0.974698 0.223526i \(-0.928243\pi\)
0.0508758 + 0.998705i \(0.483799\pi\)
\(338\) −4.67451e7 2.65105e8i −0.0658458 0.373430i
\(339\) 6.50737e8 0.907208
\(340\) 1.51425e8 + 8.58774e8i 0.208940 + 1.18496i
\(341\) −2.61829e8 + 4.53501e8i −0.357583 + 0.619352i
\(342\) 4.50731e6 + 3.78208e6i 0.00609292 + 0.00511257i
\(343\) 4.57545e7 + 7.92491e7i 0.0612215 + 0.106039i
\(344\) −4.41205e8 + 7.64189e8i −0.584367 + 1.01215i
\(345\) −9.00201e8 + 3.27646e8i −1.18025 + 0.429575i
\(346\) 4.26215e8 3.57637e8i 0.553174 0.464168i
\(347\) −5.25156e8 9.09597e8i −0.674738 1.16868i −0.976545 0.215312i \(-0.930923\pi\)
0.301807 0.953369i \(-0.402410\pi\)
\(348\) 1.55473e8 8.81730e8i 0.197755 1.12152i
\(349\) 1.03300e8 5.85845e8i 0.130081 0.737724i −0.848079 0.529869i \(-0.822241\pi\)
0.978160 0.207854i \(-0.0666480\pi\)
\(350\) 3.99507e7 + 3.35226e7i 0.0498065 + 0.0417927i
\(351\) −1.81803e8 6.61709e7i −0.224402 0.0816756i
\(352\) −9.29240e8 3.38216e8i −1.13561 0.413328i
\(353\) −2.39185e8 2.00700e8i −0.289416 0.242849i 0.486507 0.873677i \(-0.338271\pi\)
−0.775923 + 0.630828i \(0.782715\pi\)
\(354\) −8.78787e7 + 4.98385e8i −0.105286 + 0.597109i
\(355\) 3.19324e7 1.81098e8i 0.0378819 0.214839i
\(356\) −6.83510e8 1.18387e9i −0.802916 1.39069i
\(357\) 2.83158e7 2.37597e7i 0.0329374 0.0276378i
\(358\) 3.50454e8 1.27555e8i 0.403683 0.146929i
\(359\) −2.63078e8 + 4.55665e8i −0.300092 + 0.519774i −0.976156 0.217068i \(-0.930351\pi\)
0.676065 + 0.736842i \(0.263684\pi\)
\(360\) 7.78589e7 + 1.34856e8i 0.0879528 + 0.152339i
\(361\) −6.67435e8 5.60045e8i −0.746679 0.626538i
\(362\) −7.21870e7 + 1.25032e8i −0.0799796 + 0.138529i
\(363\) 8.95195e7 + 5.07690e8i 0.0982300 + 0.557090i
\(364\) 1.07601e7 0.0116939
\(365\) −3.70190e7 2.09945e8i −0.0398473 0.225986i
\(366\) −5.76217e7 + 4.83503e7i −0.0614330 + 0.0515484i
\(367\) −1.50833e9 5.48988e8i −1.59282 0.579738i −0.614877 0.788623i \(-0.710794\pi\)
−0.977940 + 0.208885i \(0.933017\pi\)
\(368\) 3.44738e8 1.25474e8i 0.360597 0.131247i
\(369\) −1.46409e7 −0.0151696
\(370\) 6.00652e8 4.39577e8i 0.616477 0.451158i
\(371\) −5.70629e7 −0.0580156
\(372\) 4.13931e8 1.50659e8i 0.416896 0.151738i
\(373\) −1.91196e8 6.95897e7i −0.190765 0.0694327i 0.244871 0.969556i \(-0.421254\pi\)
−0.435636 + 0.900123i \(0.643476\pi\)
\(374\) 2.94152e8 2.46823e8i 0.290751 0.243969i
\(375\) −5.23445e8 2.96860e9i −0.512579 2.90698i
\(376\) 3.65058e8 0.354164
\(377\) 5.94079e7 + 3.36919e8i 0.0571017 + 0.323840i
\(378\) 1.35489e7 2.34674e7i 0.0129028 0.0223482i
\(379\) −1.49415e8 1.25374e8i −0.140980 0.118296i 0.569570 0.821943i \(-0.307110\pi\)
−0.710550 + 0.703646i \(0.751554\pi\)
\(380\) 1.36524e8 + 2.36467e8i 0.127634 + 0.221069i
\(381\) 6.60828e8 1.14459e9i 0.612140 1.06026i
\(382\) −2.25378e8 + 8.20310e7i −0.206867 + 0.0752933i
\(383\) 3.90090e8 3.27324e8i 0.354788 0.297702i −0.447921 0.894073i \(-0.647836\pi\)
0.802709 + 0.596371i \(0.203391\pi\)
\(384\) 5.29203e8 + 9.16606e8i 0.476939 + 0.826082i
\(385\) −2.88702e7 + 1.63731e8i −0.0257832 + 0.146224i
\(386\) −6.85745e7 + 3.88906e8i −0.0606886 + 0.344182i
\(387\) 1.73639e8 + 1.45701e8i 0.152286 + 0.127783i
\(388\) −3.92431e7 1.42833e7i −0.0341077 0.0124142i
\(389\) 1.59456e9 + 5.80372e8i 1.37346 + 0.499900i 0.920190 0.391472i \(-0.128034\pi\)
0.453273 + 0.891372i \(0.350256\pi\)
\(390\) 1.45502e8 + 1.22091e8i 0.124206 + 0.104222i
\(391\) −1.08096e8 + 6.13043e8i −0.0914516 + 0.518648i
\(392\) 1.51779e8 8.60780e8i 0.127265 0.721757i
\(393\) −1.82200e8 3.15580e8i −0.151417 0.262262i
\(394\) −6.06259e8 + 5.08712e8i −0.499369 + 0.419021i
\(395\) 1.26483e9 4.60362e8i 1.03263 0.375846i
\(396\) −8.22906e7 + 1.42532e8i −0.0665913 + 0.115339i
\(397\) −3.95591e8 6.85184e8i −0.317307 0.549592i 0.662618 0.748958i \(-0.269445\pi\)
−0.979925 + 0.199365i \(0.936112\pi\)
\(398\) −4.74435e8 3.98098e8i −0.377212 0.316519i
\(399\) 5.78705e6 1.00235e7i 0.00456092 0.00789974i
\(400\) 3.21834e8 + 1.82521e9i 0.251433 + 1.42595i
\(401\) −8.71209e8 −0.674710 −0.337355 0.941377i \(-0.609532\pi\)
−0.337355 + 0.941377i \(0.609532\pi\)
\(402\) 5.75350e7 + 3.26297e8i 0.0441714 + 0.250508i
\(403\) −1.28939e8 + 1.08193e8i −0.0981336 + 0.0823439i
\(404\) 3.95254e8 + 1.43861e8i 0.298223 + 0.108544i
\(405\) −2.06260e9 + 7.50724e8i −1.54284 + 0.561549i
\(406\) −4.79173e7 −0.0355346
\(407\) 1.57646e9 + 6.95372e8i 1.15905 + 0.511254i
\(408\) −7.07458e8 −0.515692
\(409\) −9.21142e8 + 3.35268e8i −0.665725 + 0.242304i −0.652706 0.757611i \(-0.726366\pi\)
−0.0130191 + 0.999915i \(0.504144\pi\)
\(410\) 1.21448e8 + 4.42035e7i 0.0870256 + 0.0316747i
\(411\) 1.26152e9 1.05854e9i 0.896288 0.752075i
\(412\) 3.10090e8 + 1.75861e9i 0.218448 + 1.23888i
\(413\) −1.42384e8 −0.0994572
\(414\) 8.81319e6 + 4.99821e7i 0.00610424 + 0.0346189i
\(415\) −1.54684e9 + 2.67920e9i −1.06237 + 1.84008i
\(416\) −2.43490e8 2.04312e8i −0.165826 0.139145i
\(417\) 7.11172e8 + 1.23179e9i 0.480285 + 0.831877i
\(418\) 6.01175e7 1.04127e8i 0.0402610 0.0697340i
\(419\) 5.46507e8 1.98912e8i 0.362950 0.132103i −0.154107 0.988054i \(-0.549250\pi\)
0.517056 + 0.855951i \(0.327028\pi\)
\(420\) 1.07134e8 8.98963e7i 0.0705596 0.0592065i
\(421\) −1.06176e9 1.83903e9i −0.693490 1.20116i −0.970687 0.240347i \(-0.922739\pi\)
0.277197 0.960813i \(-0.410594\pi\)
\(422\) −1.19212e8 + 6.76087e8i −0.0772196 + 0.437934i
\(423\) 1.62838e7 9.23501e7i 0.0104608 0.0593261i
\(424\) 8.36631e8 + 7.02017e8i 0.533032 + 0.447267i
\(425\) −2.95518e9 1.07560e9i −1.86734 0.679655i
\(426\) 6.40077e7 + 2.32969e7i 0.0401143 + 0.0146004i
\(427\) −1.62119e7 1.36034e7i −0.0100771 0.00845571i
\(428\) −3.64841e8 + 2.06912e9i −0.224932 + 1.27565i
\(429\) −7.63513e7 + 4.33010e8i −0.0466892 + 0.264787i
\(430\) −1.00046e9 1.73285e9i −0.606823 1.05105i
\(431\) −1.77928e8 + 1.49299e8i −0.107047 + 0.0898229i −0.694740 0.719261i \(-0.744481\pi\)
0.587693 + 0.809084i \(0.300036\pi\)
\(432\) 9.04921e8 3.29364e8i 0.540030 0.196555i
\(433\) 5.58719e8 9.67730e8i 0.330739 0.572857i −0.651918 0.758290i \(-0.726035\pi\)
0.982657 + 0.185432i \(0.0593686\pi\)
\(434\) −1.17875e7 2.04165e7i −0.00692160 0.0119886i
\(435\) 3.40634e9 + 2.85826e9i 1.98415 + 1.66490i
\(436\) 1.24611e9 2.15832e9i 0.720032 1.24713i
\(437\) 3.38472e7 + 1.91957e8i 0.0194016 + 0.110032i
\(438\) 7.89659e7 0.0449035
\(439\) 5.01026e8 + 2.84146e9i 0.282641 + 1.60294i 0.713593 + 0.700561i \(0.247067\pi\)
−0.430952 + 0.902375i \(0.641822\pi\)
\(440\) 2.43759e9 2.04538e9i 1.36419 1.14469i
\(441\) −2.10984e8 7.67920e7i −0.117143 0.0426365i
\(442\) 1.15981e8 4.22137e7i 0.0638866 0.0232528i
\(443\) −1.98879e9 −1.08686 −0.543432 0.839453i \(-0.682876\pi\)
−0.543432 + 0.839453i \(0.682876\pi\)
\(444\) −6.39865e8 1.30050e9i −0.346935 0.705129i
\(445\) 6.78929e9 3.65228
\(446\) 2.64894e7 9.64134e6i 0.0141384 0.00514595i
\(447\) −2.79825e9 1.01848e9i −1.48187 0.539357i
\(448\) −1.47287e7 + 1.23588e7i −0.00773910 + 0.00649387i
\(449\) −9.50469e7 5.39038e8i −0.0495537 0.281033i 0.949955 0.312388i \(-0.101129\pi\)
−0.999508 + 0.0313551i \(0.990018\pi\)
\(450\) −2.56402e8 −0.132641
\(451\) 5.19523e7 + 2.94636e8i 0.0266678 + 0.151241i
\(452\) 7.99948e8 1.38555e9i 0.407453 0.705729i
\(453\) −5.64879e8 4.73990e8i −0.285504 0.239566i
\(454\) −1.80886e8 3.13304e8i −0.0907214 0.157134i
\(455\) −2.67199e7 + 4.62802e7i −0.0132982 + 0.0230332i
\(456\) −2.08161e8 + 7.57645e7i −0.102807 + 0.0374187i
\(457\) −2.19978e9 + 1.84583e9i −1.07813 + 0.904661i −0.995764 0.0919408i \(-0.970693\pi\)
−0.0823687 + 0.996602i \(0.526249\pi\)
\(458\) 7.56125e7 + 1.30965e8i 0.0367760 + 0.0636979i
\(459\) −2.83747e8 + 1.60921e9i −0.136958 + 0.776727i
\(460\) −4.08988e8 + 2.31948e9i −0.195911 + 1.11106i
\(461\) −1.23753e9 1.03841e9i −0.588306 0.493647i 0.299357 0.954141i \(-0.403228\pi\)
−0.887663 + 0.460494i \(0.847672\pi\)
\(462\) −5.78697e7 2.10628e7i −0.0273026 0.00993733i
\(463\) −3.33816e9 1.21499e9i −1.56305 0.568904i −0.591618 0.806218i \(-0.701511\pi\)
−0.971433 + 0.237314i \(0.923733\pi\)
\(464\) −1.30448e9 1.09459e9i −0.606212 0.508672i
\(465\) −3.79893e8 + 2.15448e9i −0.175217 + 0.993705i
\(466\) 135344. 767575.i 6.19568e−5 0.000351374i
\(467\) 1.17056e9 + 2.02746e9i 0.531843 + 0.921179i 0.999309 + 0.0371682i \(0.0118337\pi\)
−0.467466 + 0.884011i \(0.654833\pi\)
\(468\) −4.05246e7 + 3.40042e7i −0.0182750 + 0.0153346i
\(469\) −8.75983e7 + 3.18832e7i −0.0392095 + 0.0142711i
\(470\) −4.13898e8 + 7.16892e8i −0.183887 + 0.318501i
\(471\) −5.27247e8 9.13218e8i −0.232509 0.402718i
\(472\) 2.08757e9 + 1.75168e9i 0.913786 + 0.766758i
\(473\) 2.31596e9 4.01137e9i 1.00628 1.74292i
\(474\) 8.65772e7 + 4.91004e8i 0.0373404 + 0.211768i
\(475\) −9.84716e8 −0.421583
\(476\) −1.57809e7 8.94977e7i −0.00670666 0.0380354i
\(477\) 2.14911e8 1.80331e8i 0.0906658 0.0760777i
\(478\) −1.45788e9 5.30624e8i −0.610553 0.222223i
\(479\) 4.19072e9 1.52530e9i 1.74227 0.634133i 0.742889 0.669414i \(-0.233455\pi\)
0.999377 + 0.0352809i \(0.0112326\pi\)
\(480\) −4.13130e9 −1.70507
\(481\) 3.99716e8 + 3.83342e8i 0.163773 + 0.157065i
\(482\) −4.99376e8 −0.203125
\(483\) 9.38151e7 3.41459e7i 0.0378842 0.0137887i
\(484\) 1.19102e9 + 4.33496e8i 0.477486 + 0.173791i
\(485\) 1.58884e8 1.33320e8i 0.0632390 0.0530638i
\(486\) 4.36955e7 + 2.47810e8i 0.0172667 + 0.0979245i
\(487\) −6.92163e8 −0.271555 −0.135777 0.990739i \(-0.543353\pi\)
−0.135777 + 0.990739i \(0.543353\pi\)
\(488\) 7.03358e7 + 3.98894e8i 0.0273973 + 0.155378i
\(489\) 7.00702e8 1.21365e9i 0.270989 0.469368i
\(490\) 1.51829e9 + 1.27400e9i 0.583002 + 0.489196i
\(491\) 1.24420e9 + 2.15501e9i 0.474355 + 0.821608i 0.999569 0.0293629i \(-0.00934784\pi\)
−0.525213 + 0.850971i \(0.676015\pi\)
\(492\) 1.25834e8 2.17952e8i 0.0476345 0.0825054i
\(493\) 2.71522e9 9.88260e8i 1.02057 0.371456i
\(494\) 2.96053e7 2.48418e7i 0.0110491 0.00927126i
\(495\) −4.08696e8 7.07882e8i −0.151454 0.262327i
\(496\) 1.45483e8 8.25074e8i 0.0535335 0.303604i
\(497\) −3.32786e6 + 1.88732e7i −0.00121595 + 0.00689602i
\(498\) −8.77837e8 7.36593e8i −0.318501 0.267254i
\(499\) 2.08063e9 + 7.57286e8i 0.749622 + 0.272840i 0.688447 0.725287i \(-0.258293\pi\)
0.0611754 + 0.998127i \(0.480515\pi\)
\(500\) −6.96422e9 2.53477e9i −2.49160 0.906867i
\(501\) −1.25476e8 1.05287e8i −0.0445788 0.0374060i
\(502\) 2.82014e8 1.59938e9i 0.0994964 0.564272i
\(503\) −2.92952e7 + 1.66141e8i −0.0102638 + 0.0582090i −0.989509 0.144468i \(-0.953853\pi\)
0.979246 + 0.202677i \(0.0649641\pi\)
\(504\) −8.11412e6 1.40541e7i −0.00282315 0.00488985i
\(505\) −1.60027e9 + 1.34279e9i −0.552935 + 0.463967i
\(506\) 9.74578e8 3.54717e8i 0.334418 0.121718i
\(507\) 1.30170e9 2.25461e9i 0.443591 0.768322i
\(508\) −1.62471e9 2.81407e9i −0.549859 0.952385i
\(509\) 4.68010e8 + 3.92707e8i 0.157305 + 0.131995i 0.718043 0.695999i \(-0.245038\pi\)
−0.560738 + 0.827993i \(0.689482\pi\)
\(510\) 8.02107e8 1.38929e9i 0.267754 0.463764i
\(511\) 3.85796e6 + 2.18796e7i 0.00127904 + 0.00725381i
\(512\) 2.80216e9 0.922674
\(513\) 8.88474e7 + 5.03879e8i 0.0290559 + 0.164784i
\(514\) 9.58934e8 8.04641e8i 0.311471 0.261355i
\(515\) −8.33400e9 3.03333e9i −2.68861 0.978575i
\(516\) −3.66136e9 + 1.33263e9i −1.17319 + 0.427006i
\(517\) −1.91626e9 −0.609869
\(518\) −6.25974e7 + 4.58108e7i −0.0197880 + 0.0144815i
\(519\) 5.38083e9 1.68952
\(520\) 9.61117e8 3.49818e8i 0.299754 0.109101i
\(521\) 4.24705e9 + 1.54580e9i 1.31569 + 0.478874i 0.902076 0.431577i \(-0.142043\pi\)
0.413618 + 0.910450i \(0.364265\pi\)
\(522\) 1.80466e8 1.51429e8i 0.0555328 0.0465976i
\(523\) −8.30527e8 4.71015e9i −0.253862 1.43972i −0.798977 0.601362i \(-0.794625\pi\)
0.545114 0.838362i \(-0.316486\pi\)
\(524\) −8.95913e8 −0.272023
\(525\) 8.75821e7 + 4.96703e8i 0.0264154 + 0.149809i
\(526\) −4.56792e8 + 7.91188e8i −0.136858 + 0.237044i
\(527\) 1.08901e9 + 9.13787e8i 0.324111 + 0.271962i
\(528\) −1.09427e9 1.89534e9i −0.323525 0.560361i
\(529\) 8.61748e8 1.49259e9i 0.253096 0.438375i
\(530\) −2.32717e9 + 8.47019e8i −0.678988 + 0.247131i
\(531\) 5.36248e8 4.49965e8i 0.155430 0.130421i
\(532\) −1.42280e7 2.46436e7i −0.00409688 0.00709600i
\(533\) −1.66990e7 + 9.47045e7i −0.00477688 + 0.0270910i
\(534\) −4.36697e8 + 2.47663e9i −0.124104 + 0.703828i
\(535\) −7.99350e9 6.70734e9i −2.25683 1.89370i
\(536\) 1.67657e9 + 6.10222e8i 0.470268 + 0.171164i
\(537\) 3.38927e9 + 1.23359e9i 0.944487 + 0.343765i
\(538\) −1.57172e9 1.31883e9i −0.435147 0.365132i
\(539\) −7.96714e8 + 4.51839e9i −0.219150 + 1.24286i
\(540\) −1.07357e9 + 6.08854e9i −0.293396 + 1.66393i
\(541\) −1.69936e9 2.94338e9i −0.461419 0.799201i 0.537613 0.843192i \(-0.319326\pi\)
−0.999032 + 0.0439910i \(0.985993\pi\)
\(542\) 1.16545e9 9.77933e8i 0.314411 0.263822i
\(543\) −1.31205e9 + 4.77546e8i −0.351682 + 0.128002i
\(544\) −1.34228e9 + 2.32489e9i −0.357476 + 0.619166i
\(545\) 6.18877e9 + 1.07193e10i 1.63763 + 2.83646i
\(546\) −1.51636e7 1.27238e7i −0.00398684 0.00334536i
\(547\) 5.27617e8 9.13860e8i 0.137836 0.238739i −0.788841 0.614597i \(-0.789319\pi\)
0.926677 + 0.375858i \(0.122652\pi\)
\(548\) −7.03066e8 3.98729e9i −0.182501 1.03501i
\(549\) 1.04047e8 0.0268366
\(550\) 9.09827e8 + 5.15989e9i 0.233179 + 1.32242i
\(551\) 6.93086e8 5.81568e8i 0.176505 0.148105i
\(552\) −1.79556e9 6.53529e8i −0.454373 0.165378i
\(553\) −1.31816e8 + 4.79770e7i −0.0331458 + 0.0120641i
\(554\) 6.52796e8 0.163115
\(555\) 7.18252e9 + 4.77324e8i 1.78341 + 0.118519i
\(556\) 3.49696e9 0.862838
\(557\) −2.08415e9 + 7.58567e8i −0.511016 + 0.185995i −0.584642 0.811291i \(-0.698765\pi\)
0.0736260 + 0.997286i \(0.476543\pi\)
\(558\) 1.08915e8 + 3.96417e7i 0.0265379 + 0.00965901i
\(559\) 1.14051e9 9.57004e8i 0.276159 0.231725i
\(560\) −4.61896e7 2.61954e8i −0.0111144 0.0630329i
\(561\) 3.71358e9 0.888019
\(562\) −4.94980e8 2.80717e9i −0.117628 0.667102i
\(563\) −1.59996e9 + 2.77122e9i −0.377860 + 0.654473i −0.990751 0.135695i \(-0.956673\pi\)
0.612891 + 0.790168i \(0.290007\pi\)
\(564\) 1.23482e9 + 1.03613e9i 0.289818 + 0.243186i
\(565\) 3.97293e9 + 6.88133e9i 0.926706 + 1.60510i
\(566\) −2.12974e7 + 3.68882e7i −0.00493707 + 0.00855126i
\(567\) 2.14955e8 7.82373e7i 0.0495230 0.0180249i
\(568\) 2.80980e8 2.35770e8i 0.0643362 0.0539845i
\(569\) 2.49268e9 + 4.31744e9i 0.567248 + 0.982503i 0.996837 + 0.0794779i \(0.0253253\pi\)
−0.429588 + 0.903025i \(0.641341\pi\)
\(570\) 8.72259e7 4.94683e8i 0.0197280 0.111883i
\(571\) −2.60819e8 + 1.47918e9i −0.0586290 + 0.332502i −0.999988 0.00490510i \(-0.998439\pi\)
0.941359 + 0.337407i \(0.109550\pi\)
\(572\) 8.28107e8 + 6.94865e8i 0.185012 + 0.155244i
\(573\) −2.17965e9 7.93328e8i −0.484000 0.176162i
\(574\) −1.26568e7 4.60670e6i −0.00279339 0.00101671i
\(575\) −6.50676e9 5.45982e9i −1.42734 1.19768i
\(576\) 1.64146e7 9.30917e7i 0.00357891 0.0202970i
\(577\) 2.59685e8 1.47275e9i 0.0562771 0.319163i −0.943654 0.330935i \(-0.892636\pi\)
0.999931 + 0.0117715i \(0.00374708\pi\)
\(578\) 4.06753e8 + 7.04517e8i 0.0876159 + 0.151755i
\(579\) −2.92564e9 + 2.45491e9i −0.626392 + 0.525605i
\(580\) 1.02732e10 3.73914e9i 2.18629 0.795744i
\(581\) 1.61205e8 2.79215e8i 0.0341006 0.0590639i
\(582\) 3.84134e7 + 6.65339e7i 0.00807703 + 0.0139898i
\(583\) −4.39163e9 3.68502e9i −0.917880 0.770193i
\(584\) 2.12610e8 3.68251e8i 0.0441712 0.0765067i
\(585\) −4.56231e7 2.58741e8i −0.00942191 0.0534343i
\(586\) 1.36006e9 0.279201
\(587\) 7.83457e8 + 4.44321e9i 0.159876 + 0.906699i 0.954192 + 0.299195i \(0.0967181\pi\)
−0.794316 + 0.607504i \(0.792171\pi\)
\(588\) 2.95652e9 2.48082e9i 0.599736 0.503239i
\(589\) 4.18289e8 + 1.52245e8i 0.0843477 + 0.0307000i
\(590\) −5.80677e9 + 2.11349e9i −1.16400 + 0.423661i
\(591\) −7.65384e9 −1.52519
\(592\) −2.75059e9 1.82795e8i −0.544879 0.0362107i
\(593\) −4.87192e9 −0.959420 −0.479710 0.877427i \(-0.659258\pi\)
−0.479710 + 0.877427i \(0.659258\pi\)
\(594\) 2.55822e9 9.31116e8i 0.500824 0.182285i
\(595\) 4.24127e8 + 1.54370e8i 0.0825442 + 0.0300436i
\(596\) −5.60843e9 + 4.70603e9i −1.08512 + 0.910527i
\(597\) −1.04008e9 5.89860e9i −0.200059 1.13459i
\(598\) 3.33361e8 0.0637472
\(599\) 1.57499e9 + 8.93221e9i 0.299422 + 1.69811i 0.648664 + 0.761075i \(0.275328\pi\)
−0.349242 + 0.937032i \(0.613561\pi\)
\(600\) 4.82660e9 8.35992e9i 0.912246 1.58006i
\(601\) 2.57306e9 + 2.15906e9i 0.483493 + 0.405698i 0.851687 0.524050i \(-0.175580\pi\)
−0.368195 + 0.929749i \(0.620024\pi\)
\(602\) 1.04264e8 + 1.80591e8i 0.0194781 + 0.0337371i
\(603\) 2.29155e8 3.96909e8i 0.0425618 0.0737191i
\(604\) −1.70362e9 + 6.20068e8i −0.314590 + 0.114501i
\(605\) −4.82211e9 + 4.04623e9i −0.885306 + 0.742860i
\(606\) −3.86897e8 6.70125e8i −0.0706221 0.122321i
\(607\) −1.09973e9 + 6.23688e9i −0.199584 + 1.13190i 0.706154 + 0.708059i \(0.250429\pi\)
−0.905738 + 0.423839i \(0.860682\pi\)
\(608\) −1.45967e8 + 8.27822e8i −0.0263386 + 0.149374i
\(609\) −3.54994e8 2.97875e8i −0.0636884 0.0534409i
\(610\) −8.63085e8 3.14137e8i −0.153957 0.0560357i
\(611\) −5.78794e8 2.10664e8i −0.102655 0.0373633i
\(612\) 3.42267e8 + 2.87196e8i 0.0603580 + 0.0506464i
\(613\) 1.44337e9 8.18573e9i 0.253084 1.43531i −0.547859 0.836571i \(-0.684557\pi\)
0.800943 0.598740i \(-0.204332\pi\)
\(614\) 5.03696e8 2.85660e9i 0.0878171 0.498036i
\(615\) 6.24956e8 + 1.08246e9i 0.108339 + 0.187649i
\(616\) −2.54035e8 + 2.13161e8i −0.0437886 + 0.0367430i
\(617\) −2.80093e9 + 1.01946e9i −0.480070 + 0.174731i −0.570708 0.821153i \(-0.693331\pi\)
0.0906387 + 0.995884i \(0.471109\pi\)
\(618\) 1.64257e9 2.84501e9i 0.279939 0.484868i
\(619\) 5.85184e8 + 1.01357e9i 0.0991687 + 0.171765i 0.911341 0.411653i \(-0.135048\pi\)
−0.812172 + 0.583418i \(0.801715\pi\)
\(620\) 4.12033e9 + 3.45737e9i 0.694322 + 0.582605i
\(621\) −2.20670e9 + 3.82212e9i −0.369763 + 0.640448i
\(622\) 5.71361e8 + 3.24035e9i 0.0952016 + 0.539915i
\(623\) −7.07551e8 −0.117233
\(624\) −1.22155e8 6.92775e8i −0.0201263 0.114142i
\(625\) 1.57988e10 1.32568e10i 2.58848 2.17199i
\(626\) −1.79643e9 6.53846e8i −0.292684 0.106528i
\(627\) 1.09268e9 3.97702e8i 0.177033 0.0644349i
\(628\) −2.59257e9 −0.417707
\(629\) 2.60225e9 3.88689e9i 0.416938 0.622766i
\(630\) 3.67988e7 0.00586329
\(631\) 3.62356e8 1.31887e8i 0.0574160 0.0208977i −0.313152 0.949703i \(-0.601385\pi\)
0.370568 + 0.928805i \(0.379163\pi\)
\(632\) 2.52286e9 + 9.18246e8i 0.397542 + 0.144694i
\(633\) −5.08604e9 + 4.26769e9i −0.797015 + 0.668775i
\(634\) 2.55070e8 + 1.44658e9i 0.0397510 + 0.225439i
\(635\) 1.61382e10 2.50119
\(636\) 8.37407e8 + 4.74917e9i 0.129073 + 0.732012i
\(637\) −7.37372e8 + 1.27717e9i −0.113031 + 0.195776i
\(638\) −3.68778e9 3.09441e9i −0.562202 0.471743i
\(639\) −4.71102e7 8.15972e7i −0.00714269 0.0123715i
\(640\) −6.46186e9 + 1.11923e10i −0.974379 + 1.68767i
\(641\) −1.03205e9 + 3.75636e8i −0.154774 + 0.0563332i −0.418245 0.908334i \(-0.637355\pi\)
0.263471 + 0.964667i \(0.415133\pi\)
\(642\) 2.96089e9 2.48448e9i 0.441621 0.370564i
\(643\) −1.46320e9 2.53433e9i −0.217052 0.375945i 0.736853 0.676053i \(-0.236311\pi\)
−0.953905 + 0.300107i \(0.902977\pi\)
\(644\) 4.26230e7 2.41727e8i 0.00628844 0.0356635i
\(645\) 3.36029e9 1.90571e10i 0.493080 2.79639i
\(646\) −2.50043e8 2.09811e8i −0.0364923 0.0306207i
\(647\) −1.10417e10 4.01885e9i −1.60277 0.583361i −0.622778 0.782399i \(-0.713996\pi\)
−0.979992 + 0.199038i \(0.936218\pi\)
\(648\) −4.11410e9 1.49741e9i −0.593966 0.216186i
\(649\) −1.09581e10 9.19490e9i −1.57354 1.32035i
\(650\) −2.92444e8 + 1.65853e9i −0.0417683 + 0.236880i
\(651\) 3.95909e7 2.24531e8i 0.00562421 0.0318965i
\(652\) −1.72274e9 2.98387e9i −0.243418 0.421613i
\(653\) −7.30031e8 + 6.12569e8i −0.102600 + 0.0860912i −0.692644 0.721279i \(-0.743554\pi\)
0.590045 + 0.807370i \(0.299110\pi\)
\(654\) −4.30830e9 + 1.56809e9i −0.602259 + 0.219204i
\(655\) 2.22477e9 3.85342e9i 0.309343 0.535798i
\(656\) −2.39331e8 4.14533e8i −0.0331006 0.0573319i
\(657\) −8.36742e7 7.02110e7i −0.0115110 0.00965887i
\(658\) 4.31347e7 7.47115e7i 0.00590250 0.0102234i
\(659\) 7.76959e8 + 4.40635e9i 0.105755 + 0.599764i 0.990916 + 0.134480i \(0.0429365\pi\)
−0.885162 + 0.465283i \(0.845952\pi\)
\(660\) 1.40505e10 1.90234
\(661\) −4.85390e8 2.75278e9i −0.0653710 0.370738i −0.999890 0.0148245i \(-0.995281\pi\)
0.934519 0.355913i \(-0.115830\pi\)
\(662\) 1.97770e8 1.65949e8i 0.0264947 0.0222317i
\(663\) 1.12166e9 + 4.08252e8i 0.149474 + 0.0544040i
\(664\) −5.79856e9 + 2.11050e9i −0.768656 + 0.279768i
\(665\) 1.41326e8 0.0186358
\(666\) 9.09821e7 3.70355e8i 0.0119343 0.0485801i
\(667\) 7.80427e9 1.01834
\(668\) −3.78424e8 + 1.37735e8i −0.0491202 + 0.0178783i
\(669\) 2.56181e8 + 9.32421e7i 0.0330792 + 0.0120398i
\(670\) −3.09922e9 + 2.60055e9i −0.398098 + 0.334044i
\(671\) −3.69206e8 2.09387e9i −0.0471780 0.267560i
\(672\) 4.30546e8 0.0547302
\(673\) 1.13168e9 + 6.41807e9i 0.143110 + 0.811618i 0.968865 + 0.247589i \(0.0796382\pi\)
−0.825755 + 0.564029i \(0.809251\pi\)
\(674\) 1.91615e9 3.31887e9i 0.241057 0.417524i
\(675\) −1.70799e10 1.43318e10i −2.13758 1.79365i
\(676\) −3.20035e9 5.54316e9i −0.398459 0.690151i
\(677\) −4.18596e9 + 7.25030e9i −0.518484 + 0.898040i 0.481286 + 0.876564i \(0.340170\pi\)
−0.999769 + 0.0214761i \(0.993163\pi\)
\(678\) −2.76575e9 + 1.00665e9i −0.340807 + 0.124044i
\(679\) −1.65582e7 + 1.38940e7i −0.00202988 + 0.00170327i
\(680\) −4.31923e9 7.48113e9i −0.526775 0.912401i
\(681\) 6.07547e8 3.44557e9i 0.0737166 0.418067i
\(682\) 4.11281e8 2.33249e9i 0.0496470 0.281562i
\(683\) 2.33533e8 + 1.95958e8i 0.0280463 + 0.0235337i 0.656703 0.754149i \(-0.271950\pi\)
−0.628657 + 0.777683i \(0.716395\pi\)
\(684\) 1.31465e8 + 4.78493e7i 0.0157077 + 0.00571715i
\(685\) 1.88956e10 + 6.87745e9i 2.24618 + 0.817542i
\(686\) −3.17058e8 2.66043e8i −0.0374977 0.0314643i
\(687\) −2.53962e8 + 1.44029e9i −0.0298827 + 0.169473i
\(688\) −1.28684e9 + 7.29806e9i −0.150649 + 0.854373i
\(689\) −9.21353e8 1.59583e9i −0.107315 0.185874i
\(690\) 3.31917e9 2.78511e9i 0.384642 0.322753i
\(691\) −5.20270e9 + 1.89363e9i −0.599868 + 0.218334i −0.624064 0.781373i \(-0.714520\pi\)
0.0241962 + 0.999707i \(0.492297\pi\)
\(692\) 6.61463e9 1.14569e10i 0.758812 1.31430i
\(693\) 4.25925e7 + 7.37724e7i 0.00486146 + 0.00842030i
\(694\) 3.63910e9 + 3.05356e9i 0.413271 + 0.346776i
\(695\) −8.68382e9 + 1.50408e10i −0.981214 + 1.69951i
\(696\) 1.54015e9 + 8.73464e9i 0.173153 + 0.982002i
\(697\) 8.12204e8 0.0908554
\(698\) 4.67221e8 + 2.64974e9i 0.0520030 + 0.294924i
\(699\) 5.77428e6 4.84520e6i 0.000639481 0.000536588i
\(700\) 1.16525e9 + 4.24115e8i 0.128403 + 0.0467348i
\(701\) 1.09590e10 3.98874e9i 1.20159 0.437343i 0.337812 0.941214i \(-0.390313\pi\)
0.863779 + 0.503870i \(0.168091\pi\)
\(702\) 8.75057e8 0.0954677
\(703\) 3.49419e8 1.42236e9i 0.0379317 0.154406i
\(704\) −1.93165e9 −0.208652
\(705\) −7.52287e9 + 2.73810e9i −0.808578 + 0.294298i
\(706\) 1.32705e9 + 4.83006e8i 0.141929 + 0.0516579i
\(707\) 1.66773e8 1.39940e8i 0.0177484 0.0148927i
\(708\) 2.08951e9 + 1.18502e10i 0.221273 + 1.25490i
\(709\) 7.10322e9 0.748503 0.374252 0.927327i \(-0.377900\pi\)
0.374252 + 0.927327i \(0.377900\pi\)
\(710\) 1.44428e8 + 8.19094e8i 0.0151443 + 0.0858874i
\(711\) 3.44827e8 5.97258e8i 0.0359797 0.0623187i
\(712\) 1.03738e10 + 8.70466e9i 1.07711 + 0.903799i
\(713\) 1.91982e9 + 3.32523e9i 0.198357 + 0.343564i
\(714\) −8.35922e7 + 1.44786e8i −0.00859452 + 0.0148861i
\(715\) −5.04508e9 + 1.83626e9i −0.516175 + 0.187872i
\(716\) 6.79298e9 5.69999e9i 0.691616 0.580335i
\(717\) −7.50205e9 1.29939e10i −0.760086 1.31651i
\(718\) 4.13244e8 2.34362e9i 0.0416649 0.236293i
\(719\) 2.00830e9 1.13896e10i 0.201501 1.14277i −0.701351 0.712816i \(-0.747419\pi\)
0.902852 0.429952i \(-0.141470\pi\)
\(720\) 1.00179e9 + 8.40604e8i 0.100026 + 0.0839320i
\(721\) 8.68534e8 + 3.16121e8i 0.0863005 + 0.0314108i
\(722\) 3.70307e9 + 1.34781e9i 0.366169 + 0.133275i
\(723\) −3.69962e9 3.10435e9i −0.364060 0.305482i
\(724\) −5.96101e8 + 3.38066e9i −0.0583761 + 0.331067i
\(725\) −6.84638e9 + 3.88277e10i −0.667233 + 3.78407i
\(726\) −1.16584e9 2.01929e9i −0.113073 0.195849i
\(727\) −1.21392e10 + 1.01860e10i −1.17171 + 0.983179i −0.999998 0.00196842i \(-0.999373\pi\)
−0.171709 + 0.985148i \(0.554929\pi\)
\(728\) −1.00164e8 + 3.64565e7i −0.00962166 + 0.00350200i
\(729\) −5.71060e9 + 9.89105e9i −0.545928 + 0.945575i
\(730\) 4.82109e8 + 8.35038e8i 0.0458686 + 0.0794467i
\(731\) −9.63266e9 8.08276e9i −0.912085 0.765330i
\(732\) −8.94258e8 + 1.54890e9i −0.0842702 + 0.145960i
\(733\) 3.12862e9 + 1.77433e10i 0.293419 + 1.66406i 0.673558 + 0.739135i \(0.264765\pi\)
−0.380138 + 0.924930i \(0.624124\pi\)
\(734\) 7.25993e9 0.677636
\(735\) 3.32849e9 + 1.88768e10i 0.309201 + 1.75357i
\(736\) −5.55443e9 + 4.66072e9i −0.513531 + 0.430904i
\(737\) −8.80063e9 3.20317e9i −0.809800 0.294743i
\(738\) 6.22263e7 2.26485e7i 0.00569871 0.00207416i
\(739\) 9.68512e9 0.882774 0.441387 0.897317i \(-0.354487\pi\)
0.441387 + 0.897317i \(0.354487\pi\)
\(740\) 9.84575e9 1.47063e10i 0.893178 1.33411i
\(741\) 3.73758e8 0.0337463
\(742\) 2.42527e8 8.82727e7i 0.0217945 0.00793255i
\(743\) 8.38681e9 + 3.05255e9i 0.750129 + 0.273024i 0.688660 0.725085i \(-0.258199\pi\)
0.0614687 + 0.998109i \(0.480422\pi\)
\(744\) −3.34276e9 + 2.80491e9i −0.297577 + 0.249697i
\(745\) −6.31404e9 3.58087e10i −0.559449 3.17279i
\(746\) 9.20268e8 0.0811574
\(747\) 2.75251e8 + 1.56102e9i 0.0241605 + 0.137021i
\(748\) 4.56508e9 7.90696e9i 0.398835 0.690802i
\(749\) 8.33049e8 + 6.99011e8i 0.0724409 + 0.0607852i
\(750\) 6.81697e9 + 1.18073e10i 0.590034 + 1.02197i
\(751\) −4.92488e9 + 8.53014e9i −0.424283 + 0.734880i −0.996353 0.0853248i \(-0.972807\pi\)
0.572070 + 0.820205i \(0.306141\pi\)
\(752\) 2.88093e9 1.04857e9i 0.247042 0.0899160i
\(753\) 1.20318e10 1.00958e10i 1.02694 0.861708i
\(754\) −7.73686e8 1.34006e9i −0.0657302 0.113848i
\(755\) 1.56353e9 8.86725e9i 0.132219 0.749850i
\(756\) 1.11883e8 6.34522e8i 0.00941757 0.0534097i
\(757\) −8.78528e9 7.37172e9i −0.736071 0.617637i 0.195708 0.980662i \(-0.437300\pi\)
−0.931779 + 0.363025i \(0.881744\pi\)
\(758\) 8.28987e8 + 3.01727e8i 0.0691362 + 0.0251635i
\(759\) 9.42521e9 + 3.43050e9i 0.782429 + 0.284781i
\(760\) −2.07207e9 1.73867e9i −0.171221 0.143671i
\(761\) 4.87725e8 2.76603e9i 0.0401171 0.227515i −0.958157 0.286243i \(-0.907593\pi\)
0.998274 + 0.0587282i \(0.0187045\pi\)
\(762\) −1.03803e9 + 5.88696e9i −0.0849899 + 0.482002i
\(763\) −6.44967e8 1.11712e9i −0.0525656 0.0910463i
\(764\) −4.36859e9 + 3.66568e9i −0.354417 +