Properties

Label 27.8.e.a.4.7
Level 27
Weight 8
Character 27.4
Analytic conductor 8.434
Analytic rank 0
Dimension 120
CM No

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 8 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(8.43439568807\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(20\) over \(\Q(\zeta_{9})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) = 27.4
Dual form 27.8.e.a.7.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-9.32840 - 3.39526i) q^{2} +(39.8042 + 24.5484i) q^{3} +(-22.5624 - 18.9321i) q^{4} +(12.2615 - 69.5386i) q^{5} +(-287.961 - 364.143i) q^{6} +(48.0590 - 40.3263i) q^{7} +(781.525 + 1353.64i) q^{8} +(981.750 + 1954.26i) q^{9} +O(q^{10})\) \(q+(-9.32840 - 3.39526i) q^{2} +(39.8042 + 24.5484i) q^{3} +(-22.5624 - 18.9321i) q^{4} +(12.2615 - 69.5386i) q^{5} +(-287.961 - 364.143i) q^{6} +(48.0590 - 40.3263i) q^{7} +(781.525 + 1353.64i) q^{8} +(981.750 + 1954.26i) q^{9} +(-350.482 + 607.053i) q^{10} +(-1381.25 - 7833.47i) q^{11} +(-433.325 - 1307.45i) q^{12} +(12860.0 - 4680.64i) q^{13} +(-585.232 + 213.007i) q^{14} +(2195.13 - 2466.93i) q^{15} +(-2039.76 - 11568.1i) q^{16} +(15797.5 - 27362.2i) q^{17} +(-2522.93 - 21563.4i) q^{18} +(7936.89 + 13747.1i) q^{19} +(-1593.16 + 1336.82i) q^{20} +(2902.90 - 425.383i) q^{21} +(-13711.8 + 77763.4i) q^{22} +(-30441.1 - 25543.1i) q^{23} +(-2121.77 + 73065.8i) q^{24} +(68728.2 + 25015.0i) q^{25} -135855. q^{26} +(-8896.28 + 101888. i) q^{27} -1847.79 q^{28} +(-16930.2 - 6162.08i) q^{29} +(-28852.9 + 15559.5i) q^{30} +(8473.52 + 7110.13i) q^{31} +(14493.0 - 82193.7i) q^{32} +(137320. - 345712. i) q^{33} +(-240268. + 201608. i) q^{34} +(-2214.96 - 3836.42i) q^{35} +(14847.6 - 62679.4i) q^{36} +(-182052. + 315323. i) q^{37} +(-27363.5 - 155186. i) q^{38} +(626783. + 129383. i) q^{39} +(103713. - 37748.5i) q^{40} +(-421310. + 153344. i) q^{41} +(-28523.7 - 5887.95i) q^{42} +(-72356.8 - 410356. i) q^{43} +(-117140. + 202892. i) q^{44} +(147934. - 44307.3i) q^{45} +(197241. + 341632. i) q^{46} +(501279. - 420623. i) q^{47} +(202787. - 510530. i) q^{48} +(-142323. + 807155. i) q^{49} +(-556192. - 466700. i) q^{50} +(1.30051e6 - 701324. i) q^{51} +(-378766. - 137859. i) q^{52} -261787. q^{53} +(428925. - 920249. i) q^{54} -561665. q^{55} +(92146.6 + 33538.6i) q^{56} +(-21548.0 + 742030. i) q^{57} +(137010. + 114965. i) q^{58} +(5851.94 - 33188.0i) q^{59} +(-96231.4 + 14101.5i) q^{60} +(1.49603e6 - 1.25532e6i) q^{61} +(-54903.7 - 95096.0i) q^{62} +(125990. + 54329.5i) q^{63} +(-1.16604e6 + 2.01965e6i) q^{64} +(-167803. - 951656. i) q^{65} +(-2.45476e6 + 2.75871e6i) q^{66} +(1.23800e6 - 450593. i) q^{67} +(-874453. + 318275. i) q^{68} +(-584641. - 1.76400e6i) q^{69} +(7636.38 + 43308.0i) q^{70} +(-1.32168e6 + 2.28921e6i) q^{71} +(-1.87811e6 + 2.85624e6i) q^{72} +(1.00123e6 + 1.73418e6i) q^{73} +(2.76886e6 - 2.32335e6i) q^{74} +(2.12159e6 + 2.68287e6i) q^{75} +(81186.1 - 460429. i) q^{76} +(-382276. - 320768. i) q^{77} +(-5.40760e6 - 3.33502e6i) q^{78} +(-4.61510e6 - 1.67976e6i) q^{79} -829438. q^{80} +(-2.85530e6 + 3.83719e6i) q^{81} +4.45080e6 q^{82} +(6.73446e6 + 2.45114e6i) q^{83} +(-73549.7 - 45360.3i) q^{84} +(-1.70903e6 - 1.43404e6i) q^{85} +(-718291. + 4.07363e6i) q^{86} +(-522623. - 660886. i) q^{87} +(9.52421e6 - 7.99176e6i) q^{88} +(351087. + 608100. i) q^{89} +(-1.53043e6 - 88959.8i) q^{90} +(429284. - 743542. i) q^{91} +(203239. + 1.15263e6i) q^{92} +(162739. + 491025. i) q^{93} +(-6.10425e6 + 2.22177e6i) q^{94} +(1.05327e6 - 383360. i) q^{95} +(2.59461e6 - 2.91588e6i) q^{96} +(-1.89682e6 - 1.07574e7i) q^{97} +(4.06815e6 - 7.04625e6i) q^{98} +(1.39526e7 - 1.03898e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 6q^{2} - 6q^{3} - 6q^{4} - 219q^{5} + 1386q^{6} - 6q^{7} - 4611q^{8} - 1728q^{9} + O(q^{10}) \) \( 120q - 6q^{2} - 6q^{3} - 6q^{4} - 219q^{5} + 1386q^{6} - 6q^{7} - 4611q^{8} - 1728q^{9} - 3q^{10} + 9399q^{11} - 10545q^{12} - 6q^{13} + 16647q^{14} + 11709q^{15} + 378q^{16} - 58959q^{17} - 156051q^{18} - 3q^{19} + 240243q^{20} - 516q^{21} + 105762q^{22} - 144084q^{23} - 150894q^{24} - 107997q^{25} + 443202q^{26} + 114363q^{27} - 12q^{28} + 107886q^{29} - 179901q^{30} + 297975q^{31} - 639576q^{32} - 31338q^{33} - 265806q^{34} - 450672q^{35} + 51264q^{36} - 3q^{37} - 145596q^{38} + 1919661q^{39} + 283521q^{40} + 227085q^{41} + 3792042q^{42} - 1080969q^{43} - 1205115q^{44} - 4430925q^{45} - 3q^{46} - 5184339q^{47} - 2424039q^{48} + 976008q^{49} + 2324559q^{50} + 2918034q^{51} - 3366135q^{52} + 5631750q^{53} + 11971422q^{54} - 12q^{55} + 5254923q^{56} - 284637q^{57} + 3884295q^{58} - 12534492q^{59} - 29390886q^{60} + 3865440q^{61} - 9923646q^{62} + 3292389q^{63} - 10223619q^{64} + 17158395q^{65} + 39100653q^{66} + 5567061q^{67} + 19858455q^{68} - 12682935q^{69} - 1020993q^{70} - 18563877q^{71} - 33138540q^{72} + 3770934q^{73} - 36278085q^{74} - 26317941q^{75} - 1156998q^{76} + 8471751q^{77} + 36593658q^{78} + 16415526q^{79} + 101080590q^{80} + 45736524q^{81} - 12q^{82} + 3147699q^{83} - 27588054q^{84} - 7672131q^{85} - 70854834q^{86} - 55384731q^{87} - 34323078q^{88} - 54647613q^{89} - 25256970q^{90} + 3315066q^{91} + 73858515q^{92} + 69808065q^{93} + 22126539q^{94} + 32541447q^{95} + 33014034q^{96} + 41250117q^{97} - 88493274q^{98} - 111262167q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −9.32840 3.39526i −0.824522 0.300102i −0.104913 0.994481i \(-0.533457\pi\)
−0.719609 + 0.694380i \(0.755679\pi\)
\(3\) 39.8042 + 24.5484i 0.851147 + 0.524927i
\(4\) −22.5624 18.9321i −0.176269 0.147907i
\(5\) 12.2615 69.5386i 0.0438682 0.248789i −0.954986 0.296652i \(-0.904130\pi\)
0.998854 + 0.0478628i \(0.0152410\pi\)
\(6\) −287.961 364.143i −0.544258 0.688245i
\(7\) 48.0590 40.3263i 0.0529580 0.0444370i −0.615924 0.787805i \(-0.711217\pi\)
0.668882 + 0.743368i \(0.266773\pi\)
\(8\) 781.525 + 1353.64i 0.539669 + 0.934735i
\(9\) 981.750 + 1954.26i 0.448902 + 0.893581i
\(10\) −350.482 + 607.053i −0.110832 + 0.191967i
\(11\) −1381.25 7833.47i −0.312895 1.77451i −0.583789 0.811905i \(-0.698431\pi\)
0.270894 0.962609i \(-0.412681\pi\)
\(12\) −433.325 1307.45i −0.0723901 0.218419i
\(13\) 12860.0 4680.64i 1.62345 0.590886i 0.639412 0.768864i \(-0.279178\pi\)
0.984034 + 0.177978i \(0.0569557\pi\)
\(14\) −585.232 + 213.007i −0.0570007 + 0.0207465i
\(15\) 2195.13 2466.93i 0.167934 0.188728i
\(16\) −2039.76 11568.1i −0.124497 0.706058i
\(17\) 15797.5 27362.2i 0.779863 1.35076i −0.152157 0.988356i \(-0.548622\pi\)
0.932020 0.362406i \(-0.118045\pi\)
\(18\) −2522.93 21563.4i −0.101965 0.871493i
\(19\) 7936.89 + 13747.1i 0.265468 + 0.459804i 0.967686 0.252158i \(-0.0811401\pi\)
−0.702218 + 0.711962i \(0.747807\pi\)
\(20\) −1593.16 + 1336.82i −0.0445302 + 0.0373653i
\(21\) 2902.90 425.383i 0.0684013 0.0100233i
\(22\) −13711.8 + 77763.4i −0.274546 + 1.55703i
\(23\) −30441.1 25543.1i −0.521691 0.437750i 0.343530 0.939142i \(-0.388377\pi\)
−0.865221 + 0.501391i \(0.832822\pi\)
\(24\) −2121.77 + 73065.8i −0.0313300 + 1.07888i
\(25\) 68728.2 + 25015.0i 0.879721 + 0.320192i
\(26\) −135855. −1.51589
\(27\) −8896.28 + 101888.i −0.0869831 + 0.996210i
\(28\) −1847.79 −0.0159074
\(29\) −16930.2 6162.08i −0.128905 0.0469175i 0.276762 0.960938i \(-0.410739\pi\)
−0.405667 + 0.914021i \(0.632961\pi\)
\(30\) −28852.9 + 15559.5i −0.195103 + 0.105213i
\(31\) 8473.52 + 7110.13i 0.0510855 + 0.0428659i 0.667973 0.744186i \(-0.267162\pi\)
−0.616887 + 0.787051i \(0.711607\pi\)
\(32\) 14493.0 82193.7i 0.0781866 0.443418i
\(33\) 137320. 345712.i 0.665172 1.67462i
\(34\) −240268. + 201608.i −1.04838 + 0.879696i
\(35\) −2214.96 3836.42i −0.00873228 0.0151247i
\(36\) 14847.6 62679.4i 0.0530394 0.223906i
\(37\) −182052. + 315323.i −0.590866 + 1.02341i 0.403250 + 0.915090i \(0.367880\pi\)
−0.994116 + 0.108320i \(0.965453\pi\)
\(38\) −27363.5 155186.i −0.0808964 0.458786i
\(39\) 626783. + 129383.i 1.69196 + 0.349261i
\(40\) 103713. 37748.5i 0.256226 0.0932587i
\(41\) −421310. + 153344.i −0.954682 + 0.347476i −0.771947 0.635686i \(-0.780717\pi\)
−0.182735 + 0.983162i \(0.558495\pi\)
\(42\) −28523.7 5887.95i −0.0594064 0.0122629i
\(43\) −72356.8 410356.i −0.138784 0.787083i −0.972150 0.234361i \(-0.924700\pi\)
0.833366 0.552722i \(-0.186411\pi\)
\(44\) −117140. + 202892.i −0.207309 + 0.359070i
\(45\) 147934. 44307.3i 0.242006 0.0724822i
\(46\) 197241. + 341632.i 0.298776 + 0.517495i
\(47\) 501279. 420623.i 0.704266 0.590949i −0.218718 0.975788i \(-0.570187\pi\)
0.922984 + 0.384839i \(0.125743\pi\)
\(48\) 202787. 510530.i 0.264664 0.666312i
\(49\) −142323. + 807155.i −0.172818 + 0.980101i
\(50\) −556192. 466700.i −0.629259 0.528011i
\(51\) 1.30051e6 701324.i 1.37283 0.740326i
\(52\) −378766. 137859.i −0.373559 0.135964i
\(53\) −261787. −0.241536 −0.120768 0.992681i \(-0.538536\pi\)
−0.120768 + 0.992681i \(0.538536\pi\)
\(54\) 428925. 920249.i 0.370684 0.795293i
\(55\) −561665. −0.455206
\(56\) 92146.6 + 33538.6i 0.0701167 + 0.0255204i
\(57\) −21548.0 + 742030.i −0.0154115 + 0.530713i
\(58\) 137010. + 114965.i 0.0922047 + 0.0773690i
\(59\) 5851.94 33188.0i 0.00370952 0.0210377i −0.982897 0.184157i \(-0.941044\pi\)
0.986606 + 0.163119i \(0.0521556\pi\)
\(60\) −96231.4 + 14101.5i −0.0575158 + 0.00842822i
\(61\) 1.49603e6 1.25532e6i 0.843891 0.708108i −0.114545 0.993418i \(-0.536541\pi\)
0.958435 + 0.285310i \(0.0920965\pi\)
\(62\) −54903.7 95096.0i −0.0292571 0.0506747i
\(63\) 125990. + 54329.5i 0.0634811 + 0.0273744i
\(64\) −1.16604e6 + 2.01965e6i −0.556012 + 0.963042i
\(65\) −167803. 951656.i −0.0757883 0.429817i
\(66\) −2.45476e6 + 2.75871e6i −1.05100 + 1.18114i
\(67\) 1.23800e6 450593.i 0.502872 0.183030i −0.0781135 0.996944i \(-0.524890\pi\)
0.580985 + 0.813914i \(0.302667\pi\)
\(68\) −874453. + 318275.i −0.337253 + 0.122750i
\(69\) −584641. 1.76400e6i −0.214248 0.646440i
\(70\) 7636.38 + 43308.0i 0.00266100 + 0.0150913i
\(71\) −1.32168e6 + 2.28921e6i −0.438249 + 0.759070i −0.997555 0.0698919i \(-0.977735\pi\)
0.559305 + 0.828962i \(0.311068\pi\)
\(72\) −1.87811e6 + 2.85624e6i −0.593002 + 0.901843i
\(73\) 1.00123e6 + 1.73418e6i 0.301234 + 0.521752i 0.976416 0.215899i \(-0.0692682\pi\)
−0.675182 + 0.737651i \(0.735935\pi\)
\(74\) 2.76886e6 2.32335e6i 0.794309 0.666504i
\(75\) 2.12159e6 + 2.68287e6i 0.580694 + 0.734320i
\(76\) 81186.1 460429.i 0.0212146 0.120314i
\(77\) −382276. 320768.i −0.0954245 0.0800706i
\(78\) −5.40760e6 3.33502e6i −1.29025 0.795734i
\(79\) −4.61510e6 1.67976e6i −1.05314 0.383312i −0.243293 0.969953i \(-0.578228\pi\)
−0.809847 + 0.586641i \(0.800450\pi\)
\(80\) −829438. −0.181121
\(81\) −2.85530e6 + 3.83719e6i −0.596973 + 0.802261i
\(82\) 4.45080e6 0.891434
\(83\) 6.73446e6 + 2.45114e6i 1.29280 + 0.470539i 0.894644 0.446781i \(-0.147430\pi\)
0.398152 + 0.917320i \(0.369652\pi\)
\(84\) −73549.7 45360.3i −0.0135395 0.00835022i
\(85\) −1.70903e6 1.43404e6i −0.301844 0.253277i
\(86\) −718291. + 4.07363e6i −0.121774 + 0.690617i
\(87\) −522623. 660886.i −0.0850885 0.107599i
\(88\) 9.52421e6 7.99176e6i 1.48984 1.25012i
\(89\) 351087. + 608100.i 0.0527897 + 0.0914345i 0.891213 0.453586i \(-0.149855\pi\)
−0.838423 + 0.545020i \(0.816522\pi\)
\(90\) −1.53043e6 88959.8i −0.221291 0.0128631i
\(91\) 429284. 743542.i 0.0597173 0.103433i
\(92\) 203239. + 1.15263e6i 0.0272114 + 0.154323i
\(93\) 162739. + 491025.i 0.0209798 + 0.0633014i
\(94\) −6.10425e6 + 2.22177e6i −0.758028 + 0.275899i
\(95\) 1.05327e6 383360.i 0.126040 0.0458748i
\(96\) 2.59461e6 2.91588e6i 0.299311 0.336372i
\(97\) −1.89682e6 1.07574e7i −0.211020 1.19676i −0.887680 0.460461i \(-0.847684\pi\)
0.676660 0.736296i \(-0.263427\pi\)
\(98\) 4.06815e6 7.04625e6i 0.436622 0.756252i
\(99\) 1.39526e7 1.03898e7i 1.44521 1.07618i
\(100\) −1.07709e6 1.86557e6i −0.107709 0.186557i
\(101\) 4.26050e6 3.57498e6i 0.411468 0.345262i −0.413439 0.910532i \(-0.635672\pi\)
0.824906 + 0.565270i \(0.191228\pi\)
\(102\) −1.45128e7 + 2.12667e6i −1.35410 + 0.198427i
\(103\) 1.29119e6 7.32271e6i 0.116429 0.660300i −0.869604 0.493750i \(-0.835626\pi\)
0.986033 0.166551i \(-0.0532629\pi\)
\(104\) 1.63863e7 + 1.37497e7i 1.42845 + 1.19861i
\(105\) 6013.43 207079.i 0.000506943 0.0174572i
\(106\) 2.44205e6 + 888835.i 0.199152 + 0.0724854i
\(107\) −1.74333e7 −1.37574 −0.687870 0.725834i \(-0.741454\pi\)
−0.687870 + 0.725834i \(0.741454\pi\)
\(108\) 2.12968e6 2.13042e6i 0.162679 0.162735i
\(109\) −488158. −0.0361050 −0.0180525 0.999837i \(-0.505747\pi\)
−0.0180525 + 0.999837i \(0.505747\pi\)
\(110\) 5.23944e6 + 1.90700e6i 0.375327 + 0.136608i
\(111\) −1.49871e7 + 8.08209e6i −1.04013 + 0.560910i
\(112\) −564526. 473694.i −0.0379683 0.0318592i
\(113\) −3.32302e6 + 1.88458e7i −0.216650 + 1.22868i 0.661371 + 0.750059i \(0.269975\pi\)
−0.878021 + 0.478622i \(0.841136\pi\)
\(114\) 2.72039e6 6.84879e6i 0.171975 0.432959i
\(115\) −2.14949e6 + 1.80364e6i −0.131793 + 0.110588i
\(116\) 265324. + 459555.i 0.0157824 + 0.0273360i
\(117\) 2.17725e7 + 2.05365e7i 1.25677 + 1.18543i
\(118\) −167271. + 289722.i −0.00937204 + 0.0162328i
\(119\) −344200. 1.95205e6i −0.0187239 0.106189i
\(120\) 5.05488e6 + 1.04344e6i 0.267040 + 0.0551233i
\(121\) −4.11434e7 + 1.49750e7i −2.11131 + 0.768452i
\(122\) −1.82177e7 + 6.63071e6i −0.908311 + 0.330598i
\(123\) −2.05343e7 4.23875e6i −0.994974 0.205386i
\(124\) −56573.3 320843.i −0.00266462 0.0151118i
\(125\) 5.34048e6 9.24999e6i 0.244566 0.423600i
\(126\) −990823. 934577.i −0.0441265 0.0416215i
\(127\) 1.94112e7 + 3.36212e7i 0.840891 + 1.45647i 0.889142 + 0.457631i \(0.151302\pi\)
−0.0482514 + 0.998835i \(0.515365\pi\)
\(128\) 9.55081e6 8.01408e6i 0.402537 0.337768i
\(129\) 7.19348e6 1.81101e7i 0.295036 0.742775i
\(130\) −1.66579e6 + 9.44717e6i −0.0664995 + 0.377138i
\(131\) −2.28515e6 1.91747e6i −0.0888107 0.0745211i 0.597301 0.802017i \(-0.296240\pi\)
−0.686112 + 0.727496i \(0.740684\pi\)
\(132\) −9.64332e6 + 5.20035e6i −0.364937 + 0.196799i
\(133\) 935808. + 340606.i 0.0344910 + 0.0125537i
\(134\) −1.30784e7 −0.469556
\(135\) 6.97609e6 + 1.86794e6i 0.244030 + 0.0653424i
\(136\) 4.93847e7 1.68347
\(137\) −1.31344e7 4.78051e6i −0.436402 0.158837i 0.114471 0.993427i \(-0.463483\pi\)
−0.550873 + 0.834589i \(0.685705\pi\)
\(138\) −535494. + 1.84404e7i −0.0173451 + 0.597300i
\(139\) −2.67664e7 2.24596e7i −0.845352 0.709335i 0.113409 0.993548i \(-0.463823\pi\)
−0.958761 + 0.284214i \(0.908267\pi\)
\(140\) −22656.7 + 128493.i −0.000697829 + 0.00395758i
\(141\) 3.02786e7 4.43695e6i 0.909639 0.133296i
\(142\) 2.01016e7 1.68673e7i 0.589144 0.494351i
\(143\) −5.44285e7 9.42729e7i −1.55650 2.69594i
\(144\) 2.06045e7 1.53432e7i 0.575033 0.428200i
\(145\) −636093. + 1.10175e6i −0.0173274 + 0.0300119i
\(146\) −3.45188e6 1.95766e7i −0.0917953 0.520597i
\(147\) −2.54795e7 + 2.86344e7i −0.661576 + 0.743493i
\(148\) 1.00772e7 3.66782e6i 0.255520 0.0930019i
\(149\) 2.10517e7 7.66221e6i 0.521358 0.189759i −0.0679175 0.997691i \(-0.521635\pi\)
0.589276 + 0.807932i \(0.299413\pi\)
\(150\) −1.06820e7 3.22303e7i −0.258425 0.779731i
\(151\) 1.26146e7 + 7.15411e7i 0.298164 + 1.69097i 0.654058 + 0.756445i \(0.273065\pi\)
−0.355894 + 0.934526i \(0.615823\pi\)
\(152\) −1.24057e7 + 2.14874e7i −0.286530 + 0.496285i
\(153\) 6.89820e7 + 4.00975e6i 1.55710 + 0.0905102i
\(154\) 2.47694e6 + 4.29018e6i 0.0546503 + 0.0946570i
\(155\) 598327. 502056.i 0.0129056 0.0108291i
\(156\) −1.16922e7 1.47855e7i −0.246582 0.311817i
\(157\) −1.45629e7 + 8.25902e7i −0.300330 + 1.70325i 0.344383 + 0.938829i \(0.388088\pi\)
−0.644713 + 0.764425i \(0.723023\pi\)
\(158\) 3.73483e7 + 3.13389e7i 0.753305 + 0.632098i
\(159\) −1.04202e7 6.42646e6i −0.205583 0.126789i
\(160\) −5.53793e6 2.01564e6i −0.106888 0.0389040i
\(161\) −2.49303e6 −0.0470800
\(162\) 3.96637e7 2.61004e7i 0.732977 0.482329i
\(163\) −4.00424e7 −0.724208 −0.362104 0.932138i \(-0.617941\pi\)
−0.362104 + 0.932138i \(0.617941\pi\)
\(164\) 1.24089e7 + 4.51647e6i 0.219675 + 0.0799550i
\(165\) −2.23566e7 1.37880e7i −0.387447 0.238950i
\(166\) −5.44995e7 4.57305e7i −0.924729 0.775940i
\(167\) 3.41154e6 1.93478e7i 0.0566818 0.321458i −0.943262 0.332049i \(-0.892260\pi\)
0.999944 + 0.0105907i \(0.00337119\pi\)
\(168\) 2.84450e6 + 3.59703e6i 0.0462832 + 0.0585278i
\(169\) 9.54020e7 8.00518e7i 1.52039 1.27576i
\(170\) 1.10735e7 + 1.91799e7i 0.172868 + 0.299416i
\(171\) −1.90734e7 + 2.90070e7i −0.291703 + 0.443625i
\(172\) −6.13635e6 + 1.06285e7i −0.0919518 + 0.159265i
\(173\) −5.40652e6 3.06619e7i −0.0793883 0.450233i −0.998427 0.0560661i \(-0.982144\pi\)
0.919039 0.394167i \(-0.128967\pi\)
\(174\) 2.63136e6 + 7.93945e6i 0.0378667 + 0.114253i
\(175\) 4.31177e6 1.56936e6i 0.0608167 0.0221355i
\(176\) −8.78006e7 + 3.19568e7i −1.21396 + 0.441844i
\(177\) 1.04765e6 1.17737e6i 0.0142006 0.0159590i
\(178\) −1.21042e6 6.86464e6i −0.0160867 0.0912321i
\(179\) 2.50464e7 4.33817e7i 0.326408 0.565355i −0.655389 0.755292i \(-0.727495\pi\)
0.981796 + 0.189937i \(0.0608284\pi\)
\(180\) −4.17658e6 1.80103e6i −0.0533786 0.0230180i
\(181\) 3.46861e7 + 6.00781e7i 0.434791 + 0.753081i 0.997279 0.0737254i \(-0.0234888\pi\)
−0.562487 + 0.826806i \(0.690155\pi\)
\(182\) −6.52905e6 + 5.47853e6i −0.0802787 + 0.0673618i
\(183\) 9.03644e7 1.32418e7i 1.08998 0.159723i
\(184\) 1.07857e7 6.11689e7i 0.127640 0.723883i
\(185\) 1.96949e7 + 1.65260e7i 0.228693 + 0.191896i
\(186\) 149059. 5.13302e6i 0.00169849 0.0584894i
\(187\) −2.36161e8 8.59555e7i −2.64096 0.961232i
\(188\) −1.92733e7 −0.211545
\(189\) 3.68123e6 + 5.25540e6i 0.0396622 + 0.0566226i
\(190\) −1.11270e7 −0.117690
\(191\) 4.31877e7 + 1.57190e7i 0.448480 + 0.163234i 0.556379 0.830928i \(-0.312190\pi\)
−0.107899 + 0.994162i \(0.534412\pi\)
\(192\) −9.59925e7 + 5.17659e7i −0.978775 + 0.527824i
\(193\) 9.50635e7 + 7.97677e7i 0.951838 + 0.798687i 0.979606 0.200927i \(-0.0643955\pi\)
−0.0277680 + 0.999614i \(0.508840\pi\)
\(194\) −1.88299e7 + 1.06789e8i −0.185157 + 1.05008i
\(195\) 1.66824e7 4.19992e7i 0.161116 0.405621i
\(196\) 1.84923e7 1.55169e7i 0.175426 0.147200i
\(197\) 9.04628e7 + 1.56686e8i 0.843021 + 1.46015i 0.887329 + 0.461137i \(0.152558\pi\)
−0.0443082 + 0.999018i \(0.514108\pi\)
\(198\) −1.65432e8 + 4.95478e7i −1.51457 + 0.453624i
\(199\) −1.58453e7 + 2.74449e7i −0.142533 + 0.246874i −0.928450 0.371458i \(-0.878858\pi\)
0.785917 + 0.618332i \(0.212191\pi\)
\(200\) 1.98514e7 + 1.12583e8i 0.175464 + 0.995104i
\(201\) 6.03388e7 + 1.24553e7i 0.524095 + 0.108185i
\(202\) −5.18816e7 + 1.88834e7i −0.442878 + 0.161194i
\(203\) −1.06214e6 + 386588.i −0.00891141 + 0.00324349i
\(204\) −4.26201e7 8.79777e6i −0.351486 0.0725549i
\(205\) 5.49745e6 + 3.11776e7i 0.0445680 + 0.252758i
\(206\) −3.69073e7 + 6.39252e7i −0.294155 + 0.509492i
\(207\) 2.00324e7 8.45668e7i 0.156977 0.662680i
\(208\) −8.03772e7 1.39217e8i −0.619315 1.07268i
\(209\) 9.67245e7 8.11615e7i 0.732866 0.614948i
\(210\) −759184. + 1.91130e6i −0.00565692 + 0.0142417i
\(211\) 2.27800e7 1.29192e8i 0.166942 0.946774i −0.780098 0.625657i \(-0.784831\pi\)
0.947040 0.321116i \(-0.104058\pi\)
\(212\) 5.90654e6 + 4.95617e6i 0.0425753 + 0.0357249i
\(213\) −1.08805e8 + 5.86752e7i −0.771471 + 0.416031i
\(214\) 1.62625e8 + 5.91906e7i 1.13433 + 0.412861i
\(215\) −2.94228e7 −0.201906
\(216\) −1.44873e8 + 6.75858e7i −0.978134 + 0.456318i
\(217\) 693954. 0.00461022
\(218\) 4.55374e6 + 1.65742e6i 0.0297694 + 0.0108352i
\(219\) −2.71825e6 + 9.36063e7i −0.0174878 + 0.602214i
\(220\) 1.26725e7 + 1.06335e7i 0.0802385 + 0.0673281i
\(221\) 7.50834e7 4.25819e8i 0.467919 2.65370i
\(222\) 1.67247e8 2.45079e7i 1.02594 0.150339i
\(223\) 2.91462e7 2.44565e7i 0.176001 0.147682i −0.550532 0.834814i \(-0.685575\pi\)
0.726533 + 0.687132i \(0.241131\pi\)
\(224\) −2.61805e6 4.53460e6i −0.0155636 0.0269569i
\(225\) 1.85880e7 + 1.58871e8i 0.108791 + 0.929837i
\(226\) 9.49847e7 1.64518e8i 0.547361 0.948058i
\(227\) 7.79017e6 + 4.41803e7i 0.0442035 + 0.250690i 0.998900 0.0468907i \(-0.0149312\pi\)
−0.954697 + 0.297581i \(0.903820\pi\)
\(228\) 1.45344e7 1.63340e7i 0.0812127 0.0912685i
\(229\) 2.58448e8 9.40674e7i 1.42216 0.517625i 0.487488 0.873130i \(-0.337913\pi\)
0.934674 + 0.355505i \(0.115691\pi\)
\(230\) 2.61751e7 9.52696e6i 0.141854 0.0516306i
\(231\) −7.34186e6 2.21522e7i −0.0391890 0.118243i
\(232\) −4.89011e6 2.77332e7i −0.0257105 0.145812i
\(233\) −5.49026e7 + 9.50941e7i −0.284346 + 0.492502i −0.972450 0.233110i \(-0.925110\pi\)
0.688104 + 0.725612i \(0.258443\pi\)
\(234\) −1.33375e8 2.65496e8i −0.680488 1.35457i
\(235\) −2.31031e7 4.00157e7i −0.116127 0.201138i
\(236\) −760352. + 638011.i −0.00376550 + 0.00315963i
\(237\) −1.42465e8 1.80155e8i −0.695166 0.879077i
\(238\) −3.41690e6 + 1.93782e7i −0.0164291 + 0.0931739i
\(239\) −3.30195e6 2.77066e6i −0.0156451 0.0131278i 0.634932 0.772568i \(-0.281028\pi\)
−0.650577 + 0.759441i \(0.725473\pi\)
\(240\) −3.30151e7 2.03614e7i −0.154161 0.0950754i
\(241\) −1.56859e8 5.70919e7i −0.721854 0.262733i −0.0451411 0.998981i \(-0.514374\pi\)
−0.676712 + 0.736247i \(0.736596\pi\)
\(242\) 4.34646e8 1.97143
\(243\) −2.07850e8 + 8.26431e7i −0.929241 + 0.369475i
\(244\) −5.75198e7 −0.253486
\(245\) 5.43834e7 + 1.97939e7i 0.236257 + 0.0859906i
\(246\) 1.77160e8 + 1.09260e8i 0.758742 + 0.467938i
\(247\) 1.66413e8 + 1.39637e8i 0.702666 + 0.589606i
\(248\) −3.00229e6 + 1.70268e7i −0.0124989 + 0.0708848i
\(249\) 2.07888e8 + 2.62886e8i 0.853360 + 1.07912i
\(250\) −8.12243e7 + 6.81553e7i −0.328773 + 0.275873i
\(251\) −2.95717e7 5.12197e7i −0.118037 0.204446i 0.800953 0.598728i \(-0.204327\pi\)
−0.918990 + 0.394281i \(0.870994\pi\)
\(252\) −1.81406e6 3.61106e6i −0.00714086 0.0142145i
\(253\) −1.58044e8 + 2.73741e8i −0.613560 + 1.06272i
\(254\) −6.69229e7 3.79538e8i −0.256246 1.45324i
\(255\) −3.28229e7 9.90348e7i −0.123961 0.374022i
\(256\) 1.64201e8 5.97643e7i 0.611697 0.222639i
\(257\) −4.61744e8 + 1.68061e8i −1.69682 + 0.617591i −0.995457 0.0952149i \(-0.969646\pi\)
−0.701361 + 0.712806i \(0.747424\pi\)
\(258\) −1.28592e8 + 1.44515e8i −0.466172 + 0.523894i
\(259\) 3.96658e6 + 2.24956e7i 0.0141862 + 0.0804541i
\(260\) −1.42308e7 + 2.46485e7i −0.0502138 + 0.0869728i
\(261\) −4.57888e6 3.91356e7i −0.0159411 0.136248i
\(262\) 1.48065e7 + 2.56456e7i 0.0508625 + 0.0880965i
\(263\) −4.26031e8 + 3.57483e8i −1.44410 + 1.21174i −0.507346 + 0.861743i \(0.669373\pi\)
−0.936750 + 0.349998i \(0.886182\pi\)
\(264\) 5.75289e8 8.43014e7i 1.92430 0.281982i
\(265\) −3.20991e6 + 1.82043e7i −0.0105958 + 0.0600916i
\(266\) −7.57315e6 6.35463e6i −0.0246712 0.0207016i
\(267\) −953171. + 3.28236e7i −0.00306465 + 0.105535i
\(268\) −3.64628e7 1.32714e7i −0.115712 0.0421157i
\(269\) 7.89377e7 0.247259 0.123629 0.992328i \(-0.460547\pi\)
0.123629 + 0.992328i \(0.460547\pi\)
\(270\) −5.87336e7 4.11105e7i −0.181599 0.127110i
\(271\) −2.35583e8 −0.719036 −0.359518 0.933138i \(-0.617059\pi\)
−0.359518 + 0.933138i \(0.617059\pi\)
\(272\) −3.48750e8 1.26935e8i −1.05081 0.382463i
\(273\) 3.53401e7 1.90578e7i 0.105123 0.0566897i
\(274\) 1.06291e8 + 8.91891e7i 0.312156 + 0.261930i
\(275\) 1.01023e8 5.72932e8i 0.292926 1.66126i
\(276\) −2.02054e7 + 5.08686e7i −0.0578477 + 0.145636i
\(277\) −2.73159e8 + 2.29207e8i −0.772211 + 0.647962i −0.941274 0.337644i \(-0.890370\pi\)
0.169063 + 0.985605i \(0.445926\pi\)
\(278\) 1.73431e8 + 3.00391e8i 0.484139 + 0.838553i
\(279\) −5.57617e6 + 2.35398e7i −0.0153717 + 0.0648916i
\(280\) 3.46209e6 5.99652e6i 0.00942508 0.0163247i
\(281\) 9.26442e7 + 5.25412e8i 0.249084 + 1.41263i 0.810813 + 0.585305i \(0.199025\pi\)
−0.561729 + 0.827322i \(0.689864\pi\)
\(282\) −2.97516e8 6.14142e7i −0.790020 0.163078i
\(283\) −2.92386e8 + 1.06420e8i −0.766838 + 0.279106i −0.695673 0.718358i \(-0.744894\pi\)
−0.0711647 + 0.997465i \(0.522672\pi\)
\(284\) 7.31597e7 2.66280e7i 0.189521 0.0689801i
\(285\) 5.13356e7 + 1.05968e7i 0.131359 + 0.0271156i
\(286\) 1.87650e8 + 1.06421e9i 0.474315 + 2.68997i
\(287\) −1.40639e7 + 2.43595e7i −0.0351173 + 0.0608249i
\(288\) 1.74856e8 5.23706e7i 0.431328 0.129186i
\(289\) −2.93956e8 5.09146e8i −0.716373 1.24080i
\(290\) 9.67444e6 8.11782e6i 0.0232934 0.0195455i
\(291\) 1.88576e8 4.74753e8i 0.448601 1.12939i
\(292\) 1.02415e7 5.80826e7i 0.0240727 0.136523i
\(293\) 3.81472e8 + 3.20093e8i 0.885985 + 0.743430i 0.967401 0.253250i \(-0.0814996\pi\)
−0.0814154 + 0.996680i \(0.525944\pi\)
\(294\) 3.34904e8 1.80604e8i 0.768607 0.414487i
\(295\) −2.23610e6 813872.i −0.00507123 0.00184578i
\(296\) −5.69112e8 −1.27549
\(297\) 8.10426e8 7.10446e7i 1.79501 0.157356i
\(298\) −2.22394e8 −0.486818
\(299\) −5.11030e8 1.86000e8i −1.10560 0.402404i
\(300\) 2.92420e6 1.00698e8i 0.00625291 0.215326i
\(301\) −2.00255e7 1.68034e7i −0.0423254 0.0355152i
\(302\) 1.25226e8 7.10194e8i 0.261620 1.48372i
\(303\) 2.57346e8 3.77108e7i 0.531457 0.0778783i
\(304\) 1.42838e8 1.19855e8i 0.291599 0.244680i
\(305\) −6.89495e7 1.19424e8i −0.139150 0.241014i
\(306\) −6.29878e8 2.71617e8i −1.25670 0.541915i
\(307\) 2.94646e8 5.10342e8i 0.581187 1.00665i −0.414152 0.910208i \(-0.635922\pi\)
0.995339 0.0964379i \(-0.0307449\pi\)
\(308\) 2.55226e6 + 1.44746e7i 0.00497734 + 0.0282279i
\(309\) 2.31156e8 2.59778e8i 0.445708 0.500896i
\(310\) −7.28605e6 + 2.65190e6i −0.0138908 + 0.00505582i
\(311\) 1.70091e8 6.19081e7i 0.320642 0.116704i −0.176685 0.984268i \(-0.556537\pi\)
0.497327 + 0.867563i \(0.334315\pi\)
\(312\) 3.14709e8 + 9.49554e8i 0.586635 + 1.77002i
\(313\) −7.11095e6 4.03282e7i −0.0131076 0.0743368i 0.977552 0.210693i \(-0.0675720\pi\)
−0.990660 + 0.136356i \(0.956461\pi\)
\(314\) 4.16263e8 7.20989e8i 0.758778 1.31424i
\(315\) 5.32283e6 8.09501e6i 0.00959524 0.0145925i
\(316\) 7.23263e7 + 1.25273e8i 0.128941 + 0.223333i
\(317\) −4.94264e8 + 4.14736e8i −0.871467 + 0.731248i −0.964407 0.264424i \(-0.914818\pi\)
0.0929392 + 0.995672i \(0.470374\pi\)
\(318\) 7.53845e7 + 9.53279e7i 0.131458 + 0.166236i
\(319\) −2.48856e7 + 1.41133e8i −0.0429221 + 0.243423i
\(320\) 1.26146e8 + 1.05849e8i 0.215203 + 0.180577i
\(321\) −6.93918e8 4.27960e8i −1.17096 0.722163i
\(322\) 2.32560e7 + 8.46448e6i 0.0388185 + 0.0141288i
\(323\) 5.01533e8 0.828116
\(324\) 1.37068e8 3.25193e7i 0.223888 0.0531170i
\(325\) 1.00093e9 1.61738
\(326\) 3.73531e8 + 1.35954e8i 0.597125 + 0.217336i
\(327\) −1.94307e7 1.19835e7i −0.0307307 0.0189525i
\(328\) −5.36838e8 4.50460e8i −0.840010 0.704852i
\(329\) 7.12880e6 4.04294e7i 0.0110365 0.0625910i
\(330\) 1.61738e8 + 2.04526e8i 0.247749 + 0.313293i
\(331\) −2.71725e8 + 2.28004e8i −0.411842 + 0.345577i −0.825050 0.565060i \(-0.808853\pi\)
0.413207 + 0.910637i \(0.364408\pi\)
\(332\) −1.05540e8 1.82801e8i −0.158283 0.274155i
\(333\) −7.94953e8 4.62086e7i −1.17974 0.0685753i
\(334\) −9.75152e7 + 1.68901e8i −0.143205 + 0.248039i
\(335\) −1.61539e7 9.16135e7i −0.0234758 0.133138i
\(336\) −1.08421e7 3.27132e7i −0.0155928 0.0470474i
\(337\) 8.28633e8 3.01598e8i 1.17939 0.429263i 0.323403 0.946261i \(-0.395173\pi\)
0.855986 + 0.516998i \(0.172951\pi\)
\(338\) −1.16175e9 + 4.22841e8i −1.63645 + 0.595619i
\(339\) −5.94904e8 + 6.68566e8i −0.829369 + 0.932063i
\(340\) 1.14103e7 + 6.47108e7i 0.0157442 + 0.0892896i
\(341\) 4.39929e7 7.61979e7i 0.0600817 0.104065i
\(342\) 2.76410e8 2.05829e8i 0.373648 0.278238i
\(343\) 5.15428e7 + 8.92748e7i 0.0689666 + 0.119454i
\(344\) 4.98925e8 4.18648e8i 0.660817 0.554491i
\(345\) −1.29835e8 + 1.90257e7i −0.170226 + 0.0249444i
\(346\) −5.36709e7 + 3.04383e8i −0.0696583 + 0.395052i
\(347\) 2.78687e8 + 2.33846e8i 0.358066 + 0.300453i 0.804020 0.594603i \(-0.202691\pi\)
−0.445953 + 0.895056i \(0.647135\pi\)
\(348\) −720333. + 2.48055e7i −0.000916233 + 0.0315516i
\(349\) 5.59189e8 + 2.03528e8i 0.704158 + 0.256292i 0.669185 0.743096i \(-0.266643\pi\)
0.0349727 + 0.999388i \(0.488866\pi\)
\(350\) −4.55503e7 −0.0567876
\(351\) 3.62497e8 + 1.35192e9i 0.447434 + 1.66869i
\(352\) −6.63880e8 −0.811317
\(353\) −1.25624e8 4.57234e7i −0.152006 0.0553258i 0.264896 0.964277i \(-0.414662\pi\)
−0.416903 + 0.908951i \(0.636884\pi\)
\(354\) −1.37703e7 + 7.42592e6i −0.0164981 + 0.00889690i
\(355\) 1.42983e8 + 1.19977e8i 0.169623 + 0.142331i
\(356\) 3.59125e6 2.03670e7i 0.00421862 0.0239250i
\(357\) 3.42193e7 8.61496e7i 0.0398045 0.100211i
\(358\) −3.80936e8 + 3.19643e8i −0.438794 + 0.368192i
\(359\) 5.06024e8 + 8.76459e8i 0.577219 + 0.999772i 0.995797 + 0.0915911i \(0.0291953\pi\)
−0.418578 + 0.908181i \(0.637471\pi\)
\(360\) 1.75591e8 + 1.65623e8i 0.198355 + 0.187095i
\(361\) 3.20948e8 5.55897e8i 0.359053 0.621898i
\(362\) −1.19585e8 6.78201e8i −0.132494 0.751413i
\(363\) −2.00529e9 4.13938e8i −2.20041 0.454216i
\(364\) −2.37625e7 + 8.64883e6i −0.0258248 + 0.00939945i
\(365\) 1.32869e8 4.83604e7i 0.143021 0.0520553i
\(366\) −8.87915e8 1.83286e8i −0.946646 0.195410i
\(367\) −3.06940e8 1.74074e9i −0.324132 1.83824i −0.515706 0.856766i \(-0.672470\pi\)
0.191574 0.981478i \(-0.438641\pi\)
\(368\) −2.33392e8 + 4.04246e8i −0.244128 + 0.422843i
\(369\) −7.13296e8 6.72805e8i −0.739057 0.697103i
\(370\) −1.27612e8 2.21030e8i −0.130974 0.226854i
\(371\) −1.25812e7 + 1.05569e7i −0.0127913 + 0.0107332i
\(372\) 5.62433e6 1.41597e7i 0.00566462 0.0142611i
\(373\) 3.08302e7 1.74847e8i 0.0307607 0.174452i −0.965557 0.260192i \(-0.916214\pi\)
0.996318 + 0.0857395i \(0.0273253\pi\)
\(374\) 1.91116e9 + 1.60366e9i 1.88907 + 1.58511i
\(375\) 4.39646e8 2.37088e8i 0.430521 0.232167i
\(376\) 9.61134e8 + 3.49824e8i 0.932452 + 0.339385i
\(377\) −2.46564e8 −0.236993
\(378\) −1.64965e7 6.15232e7i −0.0157098 0.0585892i
\(379\) −1.11843e7 −0.0105529 −0.00527645 0.999986i \(-0.501680\pi\)
−0.00527645 + 0.999986i \(0.501680\pi\)
\(380\) −3.10221e7 1.12911e7i −0.0290021 0.0105559i
\(381\) −5.26998e7 + 1.81478e9i −0.0488171 + 1.68107i
\(382\) −3.49502e8 2.93267e8i −0.320795 0.269179i
\(383\) 1.53733e8 8.71863e8i 0.139821 0.792963i −0.831560 0.555435i \(-0.812552\pi\)
0.971381 0.237528i \(-0.0763370\pi\)
\(384\) 5.76895e8 8.45368e7i 0.519922 0.0761880i
\(385\) −2.69931e7 + 2.26499e7i −0.0241068 + 0.0202280i
\(386\) −6.15958e8 1.06687e9i −0.545124 0.944183i
\(387\) 7.30906e8 5.44270e8i 0.641022 0.477338i
\(388\) −1.60863e8 + 2.78623e8i −0.139812 + 0.242162i
\(389\) 3.42324e8 + 1.94142e9i 0.294859 + 1.67223i 0.667776 + 0.744363i \(0.267247\pi\)
−0.372917 + 0.927865i \(0.621642\pi\)
\(390\) −2.98219e8 + 3.35144e8i −0.254571 + 0.286092i
\(391\) −1.17981e9 + 4.29416e8i −0.998144 + 0.363295i
\(392\) −1.20383e9 + 4.38157e8i −1.00940 + 0.367391i
\(393\) −4.38878e7 1.32420e8i −0.0364728 0.110048i
\(394\) −3.11883e8 1.76878e9i −0.256895 1.45692i
\(395\) −1.73396e8 + 3.00331e8i −0.141563 + 0.245195i
\(396\) −5.11505e8 2.97325e7i −0.413920 0.0240601i
\(397\) 5.95509e8 + 1.03145e9i 0.477663 + 0.827336i 0.999672 0.0256035i \(-0.00815073\pi\)
−0.522009 + 0.852940i \(0.674817\pi\)
\(398\) 2.40994e8 2.02218e8i 0.191609 0.160779i
\(399\) 2.88878e7 + 3.65302e7i 0.0227671 + 0.0287903i
\(400\) 1.49186e8 8.46077e8i 0.116552 0.660998i
\(401\) 2.07917e8 + 1.74463e8i 0.161022 + 0.135113i 0.719738 0.694245i \(-0.244262\pi\)
−0.558717 + 0.829358i \(0.688706\pi\)
\(402\) −5.20575e8 3.21054e8i −0.399662 0.246483i
\(403\) 1.42249e8 + 5.17745e7i 0.108263 + 0.0394047i
\(404\) −1.63809e8 −0.123595
\(405\) 2.31823e8 + 2.45604e8i 0.173406 + 0.183714i
\(406\) 1.12207e7 0.00832103
\(407\) 2.72153e9 + 9.90556e8i 2.00093 + 0.728280i
\(408\) 1.96572e9 + 1.21232e9i 1.43288 + 0.883701i
\(409\) 4.28326e8 + 3.59408e8i 0.309558 + 0.259750i 0.784309 0.620370i \(-0.213017\pi\)
−0.474751 + 0.880120i \(0.657462\pi\)
\(410\) 5.45736e7 3.09502e8i 0.0391056 0.221779i
\(411\) −4.05448e8 5.12712e8i −0.288064 0.364273i
\(412\) −1.67766e8 + 1.40773e8i −0.118186 + 0.0991696i
\(413\) −1.05711e6 1.83097e6i −0.000738406 0.00127896i
\(414\) −4.73997e8 + 7.20858e8i −0.328302 + 0.499285i
\(415\) 2.53024e8 4.38251e8i 0.173778 0.300992i
\(416\) −1.98340e8 1.12484e9i −0.135078 0.766065i
\(417\) −5.14065e8 1.55106e9i −0.347170 1.04750i
\(418\) −1.17785e9 + 4.28702e8i −0.788811 + 0.287104i
\(419\) −1.98180e9 + 7.21317e8i −1.31617 + 0.479046i −0.902228 0.431258i \(-0.858070\pi\)
−0.413940 + 0.910304i \(0.635848\pi\)
\(420\) −4.05612e6 + 4.55836e6i −0.00267140 + 0.00300217i
\(421\) −3.37609e8 1.91467e9i −0.220509 1.25057i −0.871087 0.491129i \(-0.836584\pi\)
0.650578 0.759440i \(-0.274527\pi\)
\(422\) −6.51141e8 + 1.12781e9i −0.421775 + 0.730536i
\(423\) 1.31414e9 + 5.66683e8i 0.844208 + 0.364040i
\(424\) −2.04593e8 3.54365e8i −0.130350 0.225772i
\(425\) 1.77020e9 1.48538e9i 1.11857 0.938588i
\(426\) 1.21419e9 1.77925e8i 0.760946 0.111507i
\(427\) 2.12754e7 1.20659e8i 0.0132245 0.0750000i
\(428\) 3.93337e8 + 3.30049e8i 0.242500 + 0.203481i
\(429\) 1.47769e8 5.08859e9i 0.0903612 3.11170i
\(430\) 2.74468e8 + 9.98980e7i 0.166476 + 0.0605923i
\(431\) 4.22417e8 0.254139 0.127069 0.991894i \(-0.459443\pi\)
0.127069 + 0.991894i \(0.459443\pi\)
\(432\) 1.19680e9 1.04915e8i 0.714212 0.0626101i
\(433\) 7.69844e8 0.455717 0.227858 0.973694i \(-0.426828\pi\)
0.227858 + 0.973694i \(0.426828\pi\)
\(434\) −6.47348e6 2.35616e6i −0.00380123 0.00138353i
\(435\) −5.23653e7 + 2.82390e7i −0.0305022 + 0.0164489i
\(436\) 1.10140e7 + 9.24185e6i 0.00636419 + 0.00534019i
\(437\) 1.09536e8 6.21210e8i 0.0627873 0.356085i
\(438\) 3.43175e8 8.63968e8i 0.195144 0.491290i
\(439\) 6.58264e8 5.52349e8i 0.371342 0.311593i −0.437950 0.898999i \(-0.644295\pi\)
0.809292 + 0.587406i \(0.199851\pi\)
\(440\) −4.38955e8 7.60292e8i −0.245661 0.425497i
\(441\) −1.71712e9 + 5.14288e8i −0.953378 + 0.285543i
\(442\) −2.14617e9 + 3.71728e9i −1.18219 + 2.04761i
\(443\) −4.22044e8 2.39353e9i −0.230646 1.30806i −0.851593 0.524204i \(-0.824363\pi\)
0.620948 0.783852i \(-0.286748\pi\)
\(444\) 4.91156e8 + 1.01386e8i 0.266305 + 0.0549715i
\(445\) 4.65913e7 1.69579e7i 0.0250637 0.00912244i
\(446\) −3.54924e8 + 1.29182e8i −0.189436 + 0.0689491i
\(447\) 1.02604e9 + 2.11799e8i 0.543362 + 0.112162i
\(448\) 2.54060e7 + 1.44084e8i 0.0133494 + 0.0757083i
\(449\) 1.61908e8 2.80433e8i 0.0844126 0.146207i −0.820728 0.571319i \(-0.806432\pi\)
0.905141 + 0.425112i \(0.139765\pi\)
\(450\) 3.66013e8 1.54513e9i 0.189345 0.799320i
\(451\) 1.78315e9 + 3.08851e9i 0.915316 + 1.58537i
\(452\) 4.31765e8 3.62294e8i 0.219919 0.184534i
\(453\) −1.25411e9 + 3.15731e9i −0.633856 + 1.59578i
\(454\) 7.73337e7 4.38581e8i 0.0387858 0.219965i
\(455\) −4.64412e7 3.89688e7i −0.0231134 0.0193944i
\(456\) −1.02128e9 + 5.50747e8i −0.504393 + 0.272004i
\(457\) −1.09386e9 3.98134e8i −0.536114 0.195129i 0.0597525 0.998213i \(-0.480969\pi\)
−0.595866 + 0.803084i \(0.703191\pi\)
\(458\) −2.73029e9 −1.32794
\(459\) 2.64734e9 + 1.85301e9i 1.27781 + 0.894401i
\(460\) 8.26442e7 0.0395877
\(461\) −3.32089e9 1.20870e9i −1.57870 0.574601i −0.603782 0.797150i \(-0.706340\pi\)
−0.974922 + 0.222548i \(0.928562\pi\)
\(462\) −6.72467e6 + 2.31572e8i −0.00317267 + 0.109254i
\(463\) 1.29251e9 + 1.08455e9i 0.605203 + 0.507825i 0.893113 0.449832i \(-0.148516\pi\)
−0.287910 + 0.957657i \(0.592961\pi\)
\(464\) −3.67498e7 + 2.08419e8i −0.0170782 + 0.0968553i
\(465\) 3.61406e7 5.29595e6i 0.0166690 0.00244264i
\(466\) 8.35022e8 7.00667e8i 0.382250 0.320746i
\(467\) −1.48799e8 2.57727e8i −0.0676068 0.117098i 0.830241 0.557405i \(-0.188203\pi\)
−0.897847 + 0.440307i \(0.854870\pi\)
\(468\) −1.02440e8 8.75551e8i −0.0461964 0.394840i
\(469\) 4.13261e7 7.15788e7i 0.0184978 0.0320391i
\(470\) 7.96511e7 + 4.51724e8i 0.0353874 + 0.200692i
\(471\) −2.60712e9 + 2.92994e9i −1.14971 + 1.29207i
\(472\) 4.94981e7 1.80158e7i 0.0216666 0.00788601i
\(473\) −3.11456e9 + 1.13361e9i −1.35327 + 0.492549i
\(474\) 7.17297e8 + 2.16426e9i 0.309368 + 0.933439i
\(475\) 2.01604e8 + 1.14335e9i 0.0863122 + 0.489501i
\(476\) −2.91905e7 + 5.05594e7i −0.0124056 + 0.0214871i
\(477\) −2.57009e8 5.11600e8i −0.108426 0.215832i
\(478\) 2.13948e7 + 3.70568e7i 0.00896004 + 0.0155192i
\(479\) −1.46182e8 + 1.22661e8i −0.0607743 + 0.0509957i −0.672669 0.739944i \(-0.734852\pi\)
0.611895 + 0.790939i \(0.290408\pi\)
\(480\) −1.70952e8 2.16179e8i −0.0705554 0.0892213i
\(481\) −8.65265e8 + 4.90716e9i −0.354520 + 2.01059i
\(482\) 1.26940e9 + 1.06515e9i 0.516338 + 0.433259i
\(483\) −9.92330e7 6.11999e7i −0.0400720 0.0247136i
\(484\) 1.21180e9 + 4.41059e8i 0.485816 + 0.176823i
\(485\) −7.71312e8 −0.306997
\(486\) 2.21950e9 6.52225e7i 0.877060 0.0257733i
\(487\) −1.74785e9 −0.685728 −0.342864 0.939385i \(-0.611397\pi\)
−0.342864 + 0.939385i \(0.611397\pi\)
\(488\) 2.86844e9 + 1.04403e9i 1.11732 + 0.406670i
\(489\) −1.59385e9 9.82977e8i −0.616407 0.380156i
\(490\) −4.40105e8 3.69292e8i −0.168993 0.141802i
\(491\) 2.79404e8 1.58458e9i 0.106524 0.604128i −0.884077 0.467342i \(-0.845212\pi\)
0.990601 0.136786i \(-0.0436772\pi\)
\(492\) 3.83054e8 + 4.84393e8i 0.145005 + 0.183367i
\(493\) −4.36063e8 + 3.65900e8i −0.163902 + 0.137530i
\(494\) −1.07826e9 1.86761e9i −0.402422 0.697014i
\(495\) −5.51414e8 1.09764e9i −0.204343 0.406763i
\(496\) 6.49665e7 1.12525e8i 0.0239058 0.0414061i
\(497\) 2.87969e7 + 1.63316e8i 0.0105220 + 0.0596733i
\(498\) −1.04670e9 3.15814e9i −0.379768 1.14585i
\(499\) −3.04281e9 + 1.10749e9i −1.09628 + 0.399015i −0.825945 0.563751i \(-0.809358\pi\)
−0.270339 + 0.962765i \(0.587136\pi\)
\(500\) −2.95616e8 + 1.07595e8i −0.105763 + 0.0384945i
\(501\) 6.10753e8 6.86377e8i 0.216987 0.243854i
\(502\) 1.01953e8 + 5.78202e8i 0.0359696 + 0.203994i
\(503\) 1.62281e9 2.81078e9i 0.568563 0.984780i −0.428146 0.903710i \(-0.640833\pi\)
0.996708 0.0810699i \(-0.0258337\pi\)
\(504\) 2.49217e7 + 2.13005e8i 0.00867102 + 0.0741111i
\(505\) −1.96359e8 3.40104e8i −0.0678471 0.117515i
\(506\) 2.40372e9 2.01696e9i 0.824817 0.692104i
\(507\) 5.76255e9 8.44429e8i 1.96375 0.287763i
\(508\) 1.98556e8 1.12607e9i 0.0671987 0.381103i
\(509\) 1.77078e8 + 1.48586e8i 0.0595185 + 0.0499420i 0.672062 0.740495i \(-0.265409\pi\)
−0.612543 + 0.790437i \(0.709853\pi\)
\(510\) −3.00637e7 + 1.03528e9i −0.0100357 + 0.345590i
\(511\) 1.18051e8 + 4.29671e7i 0.0391379 + 0.0142450i
\(512\) −3.33051e9 −1.09665
\(513\) −1.47128e9 + 6.86377e8i −0.481153 + 0.224467i
\(514\) 4.87794e9 1.58440
\(515\) −4.93379e8 1.79575e8i −0.159168 0.0579324i
\(516\) −5.05165e8 + 2.72420e8i −0.161867 + 0.0872901i
\(517\) −3.98733e9 3.34576e9i −1.26901 1.06483i
\(518\) 3.93765e7 2.23315e8i 0.0124475 0.0705935i
\(519\) 5.37499e8 1.35319e9i 0.168769 0.424888i
\(520\) 1.15706e9 9.70887e8i 0.360864 0.302801i
\(521\) 8.21785e8 + 1.42337e9i 0.254581 + 0.440948i 0.964782 0.263052i \(-0.0847290\pi\)
−0.710200 + 0.704000i \(0.751396\pi\)
\(522\) −9.01620e7 + 3.80619e8i −0.0277445 + 0.117123i
\(523\) 2.62932e9 4.55411e9i 0.803687 1.39203i −0.113487 0.993539i \(-0.536202\pi\)
0.917174 0.398487i \(-0.130465\pi\)
\(524\) 1.52568e7 + 8.65254e7i 0.00463237 + 0.0262714i
\(525\) 2.10152e8 + 4.33802e7i 0.0633834 + 0.0130838i
\(526\) 5.18794e9 1.88825e9i 1.55433 0.565731i
\(527\) 3.28409e8 1.19531e8i 0.0977413 0.0355749i
\(528\) −4.27932e9 8.83351e8i −1.26519 0.261165i
\(529\) −3.17032e8 1.79798e9i −0.0931125 0.528067i
\(530\) 9.17517e7 1.58919e8i 0.0267700 0.0463670i
\(531\) 7.06032e7 2.11461e7i 0.0204641 0.00612914i
\(532\) −1.46657e7 2.54017e7i −0.00422291 0.00731429i
\(533\) −4.70029e9 + 3.94401e9i −1.34456 + 1.12822i
\(534\) 1.20336e8 3.02955e8i 0.0341981 0.0860962i
\(535\) −2.13759e8 + 1.21229e9i −0.0603512 + 0.342269i
\(536\) 1.57747e9 + 1.32365e9i 0.442469 + 0.371276i
\(537\) 2.06191e9 1.11192e9i 0.574591 0.309860i
\(538\) −7.36362e8 2.68014e8i −0.203870 0.0742027i
\(539\) 6.51941e9 1.79328
\(540\) −1.22033e8 1.74217e8i −0.0333503 0.0476116i
\(541\) 7.05524e8 0.191567 0.0957836 0.995402i \(-0.469464\pi\)
0.0957836 + 0.995402i \(0.469464\pi\)
\(542\) 2.19761e9 + 7.99864e8i 0.592861 + 0.215784i
\(543\) −9.41699e7 + 3.24285e9i −0.0252414 + 0.869216i
\(544\) −2.02004e9 1.69502e9i −0.537978 0.451417i
\(545\) −5.98557e6 + 3.39459e7i −0.00158386 + 0.00898254i
\(546\) −3.94373e8 + 5.77904e7i −0.103689 + 0.0151943i
\(547\) −4.38776e9 + 3.68176e9i −1.14627 + 0.961835i −0.999626 0.0273548i \(-0.991292\pi\)
−0.146644 + 0.989189i \(0.546847\pi\)
\(548\) 2.05837e8 + 3.56521e8i 0.0534308 + 0.0925449i
\(549\) 3.92195e9 + 1.69123e9i 1.01158 + 0.436213i
\(550\) −2.88764e9 + 5.00154e9i −0.740072 + 1.28184i
\(551\) −4.96622e7 2.81648e8i −0.0126472 0.0717260i
\(552\) 1.93092e9 2.17001e9i 0.488626 0.549129i
\(553\) −2.89536e8 + 1.05382e8i −0.0728055 + 0.0264990i
\(554\) 3.32635e9 1.21069e9i 0.831159 0.302517i
\(555\) 3.78253e8 + 1.14128e9i 0.0939197 + 0.283379i
\(556\) 1.78705e8 + 1.01349e9i 0.0440935 + 0.250067i
\(557\) −2.18079e9 + 3.77724e9i −0.534713 + 0.926150i 0.464464 + 0.885592i \(0.346247\pi\)
−0.999177 + 0.0405584i \(0.987086\pi\)
\(558\) 1.31941e8 2.00657e8i 0.0321484 0.0488915i
\(559\) −2.85123e9 4.93848e9i −0.690385 1.19578i
\(560\) −3.98620e7 + 3.34482e7i −0.00959181 + 0.00804849i
\(561\) −7.29012e9 9.21877e9i −1.74327 2.20446i
\(562\) 9.19687e8 5.21580e9i 0.218556 1.23949i
\(563\) 3.72864e9 + 3.12870e9i 0.880584 + 0.738898i 0.966299 0.257422i \(-0.0828730\pi\)
−0.0857151 + 0.996320i \(0.527317\pi\)
\(564\) −7.67159e8 4.73129e8i −0.180056 0.111046i
\(565\) 1.26976e9 + 4.62156e8i 0.296178 + 0.107800i
\(566\) 3.08881e9 0.716035
\(567\) 1.75166e7 + 2.99555e8i 0.00403560 + 0.0690139i
\(568\) −4.13169e9 −0.946039
\(569\) −4.22179e9 1.53661e9i −0.960735 0.349679i −0.186414 0.982471i \(-0.559686\pi\)
−0.774321 + 0.632792i \(0.781909\pi\)
\(570\) −4.42900e8 2.73149e8i −0.100171 0.0617786i
\(571\) 1.41899e9 + 1.19068e9i 0.318973 + 0.267650i 0.788189 0.615433i \(-0.211019\pi\)
−0.469216 + 0.883083i \(0.655463\pi\)
\(572\) −5.56747e8 + 3.15747e9i −0.124386 + 0.705428i
\(573\) 1.33318e9 + 1.68587e9i 0.296037 + 0.374355i
\(574\) 2.13901e8 1.79484e8i 0.0472086 0.0396127i
\(575\) −1.45320e9 2.51702e9i −0.318778 0.552140i
\(576\) −5.09168e9 2.95966e8i −1.11015 0.0645303i
\(577\) 4.10638e9 7.11246e9i 0.889906 1.54136i 0.0499204 0.998753i \(-0.484103\pi\)
0.839985 0.542609i \(-0.182563\pi\)
\(578\) 1.01345e9 + 5.74758e9i 0.218301 + 1.23805i
\(579\) 1.82575e9 + 5.50875e9i 0.390901 + 1.17945i
\(580\) 3.52101e7 1.28154e7i 0.00749324 0.00272731i
\(581\) 4.22497e8 1.53776e8i 0.0893732 0.0325292i
\(582\) −3.37102e9 + 3.78843e9i −0.708812 + 0.796578i
\(583\) 3.61593e8 + 2.05070e9i 0.0755754 + 0.428610i
\(584\) −1.56497e9 + 2.71061e9i −0.325133 + 0.563147i
\(585\) 1.69504e9 1.26222e9i 0.350054 0.260669i
\(586\) −2.47173e9 4.28116e9i −0.507410 0.878860i
\(587\) −2.46502e9 + 2.06840e9i −0.503022 + 0.422086i −0.858666 0.512536i \(-0.828706\pi\)
0.355644 + 0.934622i \(0.384262\pi\)
\(588\) 1.11699e9 1.63680e8i 0.226583 0.0332029i
\(589\) −3.04902e7 + 1.72919e8i −0.00614833 + 0.0348689i
\(590\) 1.80959e7 + 1.51843e7i 0.00362742 + 0.00304377i
\(591\) −2.45599e8 + 8.45749e9i −0.0489407 + 1.68533i
\(592\) 4.01902e9 + 1.46280e9i 0.796148 + 0.289774i
\(593\) 3.60716e9 0.710352 0.355176 0.934799i \(-0.384421\pi\)
0.355176 + 0.934799i \(0.384421\pi\)
\(594\) −7.80119e9 2.08887e9i −1.52724 0.408940i
\(595\) −1.39964e8 −0.0272399
\(596\) −6.20039e8 2.25676e8i −0.119966 0.0436639i
\(597\) −1.30444e9 + 7.03444e8i −0.250907 + 0.135307i
\(598\) 4.13557e9 + 3.47016e9i 0.790827 + 0.663583i
\(599\) 1.08071e9 6.12900e9i 0.205454 1.16519i −0.691270 0.722597i \(-0.742948\pi\)
0.896724 0.442591i \(-0.145940\pi\)
\(600\) −1.97357e9 + 4.96860e9i −0.373012 + 0.939085i
\(601\) 2.54479e9 2.13534e9i 0.478180 0.401241i −0.371588 0.928398i \(-0.621186\pi\)
0.849768 + 0.527157i \(0.176742\pi\)
\(602\) 1.29754e8 + 2.24741e8i 0.0242401 + 0.0419850i
\(603\) 2.09598e9 + 1.97700e9i 0.389293 + 0.367194i
\(604\) 1.06981e9 1.85296e9i 0.197549 0.342166i
\(605\) 5.36858e8 + 3.04467e9i 0.0985633 + 0.558980i
\(606\) −2.52866e9 5.21975e8i −0.461569 0.0952786i
\(607\) −5.38605e9 + 1.96036e9i −0.977485 + 0.355775i −0.780862 0.624704i \(-0.785220\pi\)
−0.196623 + 0.980479i \(0.562997\pi\)
\(608\) 1.24495e9 4.53126e8i 0.224642 0.0817630i
\(609\) −5.17678e7 1.06861e7i −0.00928751 0.00191716i
\(610\) 2.37713e8 + 1.34814e9i 0.0424032 + 0.240481i
\(611\) 4.47764e9 7.75550e9i 0.794154 1.37552i
\(612\) −1.48049e9 1.39644e9i −0.261080 0.246260i
\(613\) 1.84311e9 + 3.19236e9i 0.323176 + 0.559758i 0.981142 0.193290i \(-0.0619160\pi\)
−0.657965 + 0.753048i \(0.728583\pi\)
\(614\) −4.48132e9 + 3.76027e9i −0.781298 + 0.655587i
\(615\) −5.46539e8 + 1.37595e9i −0.0947455 + 0.238529i
\(616\) 1.35446e8 7.68153e8i 0.0233471 0.132408i
\(617\) −6.84953e9 5.74744e9i −1.17399 0.985091i −1.00000 0.000342641i \(-0.999891\pi\)
−0.173986 0.984748i \(-0.555665\pi\)
\(618\) −3.03833e9 + 1.63848e9i −0.517815 + 0.279242i
\(619\) −7.69611e9 2.80116e9i −1.30423 0.474701i −0.405858 0.913936i \(-0.633027\pi\)
−0.898372 + 0.439235i \(0.855249\pi\)
\(620\) −2.30047e7 −0.00387655
\(621\) 2.87336e9 2.87435e9i 0.481470 0.481636i
\(622\) −1.79687e9 −0.299399
\(623\) 4.13953e7 + 1.50667e7i 0.00685872 + 0.00249637i
\(624\) 2.18217e8 7.51457e9i 0.0359537 1.23811i
\(625\) 3.79942e9 + 3.18809e9i 0.622497 + 0.522337i
\(626\) −7.05910e7 + 4.00341e8i −0.0115011 + 0.0652259i
\(627\) 5.84243e9 8.56135e8i 0.946580 0.138709i
\(628\) 1.89218e9 1.58773e9i 0.304862 0.255809i
\(629\) 5.75194e9 + 9.96266e9i 0.921589 + 1.59624i
\(630\) −7.71382e7 + 5.74411e7i −0.0122907 + 0.00915232i
\(631\) −1.79803e9 + 3.11428e9i −0.284902 + 0.493464i −0.972585 0.232546i \(-0.925294\pi\)
0.687684 + 0.726010i \(0.258628\pi\)
\(632\) −1.33302e9 7.55996e9i −0.210053 1.19127i
\(633\) 4.07819e9 4.58316e9i 0.639079 0.718211i
\(634\) 6.01883e9 2.19067e9i 0.937993 0.341401i
\(635\) 2.57598e9 9.37582e8i 0.399241 0.145312i
\(636\) 1.13439e8 + 3.42273e8i 0.0174848 + 0.0527561i
\(637\) 1.94773e9 + 1.10462e10i 0.298567 + 1.69326i
\(638\) 7.11328e8 1.23206e9i 0.108442 0.187827i
\(639\) −5.77127e9 3.35469e8i −0.875021 0.0508628i
\(640\) −4.40181e8 7.62415e8i −0.0663745 0.114964i
\(641\) 5.34343e9 4.48367e9i 0.801340 0.672404i −0.147184 0.989109i \(-0.547021\pi\)
0.948524 + 0.316705i \(0.102577\pi\)
\(642\) 5.02011e9 + 6.34822e9i 0.748757 + 0.946845i
\(643\) 1.24870e9 7.08174e9i 0.185234 1.05051i −0.740421 0.672144i \(-0.765374\pi\)
0.925655 0.378369i \(-0.123515\pi\)
\(644\) 5.62487e7 + 4.71982e7i 0.00829873 + 0.00696346i
\(645\) −1.17115e9 7.22283e8i −0.171852 0.105986i
\(646\) −4.67851e9 1.70284e9i −0.682800 0.248519i
\(647\) −3.36150e9 −0.487942 −0.243971 0.969783i \(-0.578450\pi\)
−0.243971 + 0.969783i \(0.578450\pi\)
\(648\) −7.42567e9 8.66197e8i −1.07207 0.125056i
\(649\) −2.68060e8 −0.0384925
\(650\) −9.33706e9 3.39841e9i −1.33356 0.485377i
\(651\) 2.76223e7 + 1.70355e7i 0.00392398 + 0.00242003i
\(652\) 9.03451e8 + 7.58085e8i 0.127655 + 0.107115i
\(653\) 5.46909e8 3.10167e9i 0.0768633 0.435913i −0.921954 0.387299i \(-0.873408\pi\)
0.998818 0.0486147i \(-0.0154806\pi\)
\(654\) 1.40571e8 + 1.77760e8i 0.0196505 + 0.0248491i
\(655\) −1.61358e8 + 1.35395e8i −0.0224360 + 0.0188260i
\(656\) 2.63327e9 + 4.56096e9i 0.364193 + 0.630802i
\(657\) −2.40608e9 + 3.65920e9i −0.331003 + 0.503393i
\(658\) −2.03769e8 + 3.52938e8i −0.0278835 + 0.0482956i
\(659\) 3.07630e8 + 1.74466e9i 0.0418726 + 0.237471i 0.998560 0.0536457i \(-0.0170842\pi\)
−0.956687 + 0.291117i \(0.905973\pi\)
\(660\) 2.43383e8 + 7.34347e8i 0.0329524 + 0.0994255i
\(661\) 1.34360e10 4.89031e9i 1.80953 0.658614i 0.812381 0.583128i \(-0.198171\pi\)
0.997147 0.0754866i \(-0.0240510\pi\)
\(662\) 3.30889e9 1.20434e9i 0.443281 0.161341i
\(663\) 1.34418e10 1.51062e10i 1.79127 2.01307i
\(664\) 1.94518e9 + 1.10317e10i 0.257853 + 1.46236i
\(665\) 3.51598e7 6.08985e7i 0.00463628 0.00803028i
\(666\) 7.25875e9 + 3.13012e9i 0.952142 + 0.410584i
\(667\) 3.57975e8 + 6.20030e8i 0.0467102 + 0.0809045i
\(668\) −4.43267e8 + 3.71945e8i −0.0575371 + 0.0482794i
\(669\) 1.76051e9 2.57981e8i 0.227325 0.0333116i
\(670\) −1.60361e8 + 9.09454e8i −0.0205986 + 0.116820i
\(671\) −1.18999e10 9.98520e9i −1.52060 1.27593i
\(672\) 7.10779e6 2.44765e8i 0.000903529 0.0311141i
\(673\) −6.47528e9 2.35681e9i −0.818853 0.298038i −0.101578 0.994828i \(-0.532389\pi\)
−0.717276 + 0.696789i \(0.754611\pi\)
\(674\) −8.75382e9 −1.10126
\(675\) −3.16016e9 + 6.78005e9i −0.395500 + 0.848535i
\(676\) −3.66804e9 −0.456690
\(677\) 3.56598e7 + 1.29791e7i 0.00441691 + 0.00160762i 0.344228 0.938886i \(-0.388141\pi\)
−0.339811 + 0.940494i \(0.610363\pi\)
\(678\) 7.81946e9 4.21680e9i 0.963547 0.519612i
\(679\) −5.24965e8 4.40498e8i −0.0643555 0.0540007i
\(680\) 6.05532e8 3.43414e9i 0.0738510 0.418830i
\(681\) −7.74474e8 + 1.94980e9i −0.0939706 + 0.236578i
\(682\) −6.69095e8 + 5.61437e8i −0.0807686 + 0.0677729i
\(683\) 1.30595e9 + 2.26197e9i 0.156839 + 0.271653i 0.933727 0.357986i \(-0.116536\pi\)
−0.776888 + 0.629639i \(0.783203\pi\)
\(684\) 9.79503e8 2.93367e8i 0.117033 0.0350522i
\(685\) −4.93478e8 + 8.54729e8i −0.0586612 + 0.101604i
\(686\) −1.77701e8 1.00779e9i −0.0210163 0.119189i
\(687\) 1.25965e10 + 2.60022e9i 1.48218 + 0.305957i
\(688\) −4.59943e9 + 1.67406e9i −0.538449 + 0.195979i
\(689\) −3.36657e9 + 1.22533e9i −0.392121 + 0.142720i
\(690\) 1.27575e9 + 2.63345e8i 0.147841 + 0.0305178i
\(691\) 6.84431e8 + 3.88160e9i 0.0789145 + 0.447546i 0.998505 + 0.0546672i \(0.0174098\pi\)
−0.919590 + 0.392879i \(0.871479\pi\)
\(692\) −4.58510e8 + 7.94162e8i −0.0525990 + 0.0911041i
\(693\) 2.51565e8 1.06198e9i 0.0287133 0.121213i
\(694\) −1.80574e9 3.12763e9i −0.205067 0.355187i
\(695\) −1.89001e9 + 1.58591e9i −0.213559 + 0.179197i
\(696\) 4.86159e8 1.22394e9i 0.0546571 0.137603i
\(697\) −2.45984e9 + 1.39504e10i −0.275164 + 1.56053i
\(698\) −4.52531e9 3.79719e9i −0.503680 0.422638i
\(699\) −4.51976e9 + 2.43737e9i −0.500548 + 0.269930i
\(700\) −1.26995e8 4.62224e7i −0.0139941 0.00509342i
\(701\) 7.53396e9 0.826057 0.413029 0.910718i \(-0.364471\pi\)
0.413029 + 0.910718i \(0.364471\pi\)
\(702\) 1.20860e9 1.38420e10i 0.131857 1.51015i
\(703\) −5.77970e9 −0.627424
\(704\) 1.74314e10 + 6.34452e9i 1.88290 + 0.685321i
\(705\) 6.27229e7 2.15994e9i 0.00674162 0.232156i
\(706\) 1.01663e9 + 8.53053e8i 0.108729 + 0.0912346i
\(707\) 6.05895e7 3.43620e8i 0.00644807 0.0365688i
\(708\) −4.59274e7 + 6.73008e6i −0.00486357 + 0.000712695i
\(709\) 4.65480e9 3.90584e9i 0.490500 0.411578i −0.363705 0.931514i \(-0.618489\pi\)
0.854205 + 0.519936i \(0.174044\pi\)
\(710\) −9.26449e8 1.60466e9i −0.0971443 0.168259i
\(711\) −1.24818e9 1.06682e10i −0.130237 1.11314i
\(712\) −5.48766e8 + 9.50491e8i −0.0569780 + 0.0986888i
\(713\) −7.63285e7 4.32880e8i −0.00788630 0.0447254i
\(714\) −6.11711e8 + 6.87454e8i −0.0628931 + 0.0706806i
\(715\) −7.22299e9 + 2.62895e9i −0.739002 + 0.268975i
\(716\) −1.38641e9 + 5.04613e8i −0.141155 + 0.0513763i
\(717\) −6.34160e7 1.91342e8i −0.00642513 0.0193862i
\(718\) −1.74459e9 9.89404e9i −0.175896 0.997558i
\(719\) −5.53233e9 + 9.58227e9i −0.555081 + 0.961429i 0.442816 + 0.896613i \(0.353980\pi\)
−0.997897 + 0.0648165i \(0.979354\pi\)
\(720\) −8.14300e8 1.62094e9i −0.0813057 0.161846i
\(721\) −2.33244e8 4.03991e8i −0.0231760 0.0401419i
\(722\) −4.88134e9 + 4.09593e9i −0.482680 + 0.405017i
\(723\) −4.84212e9 6.12313e9i −0.476488 0.602545i
\(724\) 3.54803e8 2.01219e9i 0.0347458 0.197053i
\(725\) −1.00944e9 8.47018e8i −0.0983775 0.0825485i
\(726\) 1.73007e10 + 1.06699e10i 1.67798 + 1.03486i
\(727\) −1.18420e10 4.31013e9i −1.14302 0.416025i −0.300017 0.953934i \(-0.596992\pi\)
−0.843003 + 0.537908i \(0.819215\pi\)
\(728\) 1.34198e9 0.128910
\(729\) −1.03021e10 1.81285e9i −0.984868 0.173307i
\(730\) −1.40365e9 −0.133546
\(731\) −1.23713e10 4.50278e9i −1.17140 0.426353i
\(732\) −2.28953e9 1.41202e9i −0.215753 0.133062i
\(733\) 8.61951e9 + 7.23263e9i 0.808386 + 0.678316i 0.950222 0.311574i \(-0.100856\pi\)
−0.141836 + 0.989890i \(0.545301\pi\)
\(734\) −3.04702e9 + 1.72805e10i −0.284406 + 1.61295i
\(735\) 1.67878e9 + 2.12291e9i 0.155951 + 0.197208i
\(736\) −2.54067e9 + 2.13187e9i −0.234896 + 0.197101i
\(737\) −5.23969e9 9.07541e9i −0.482136 0.835084i
\(738\) 4.36957e9 + 8.69802e9i 0.400167 + 0.796569i
\(739\) −4.55239e9 + 7.88496e9i −0.414938 + 0.718694i −0.995422 0.0955777i \(-0.969530\pi\)
0.580484 + 0.814272i \(0.302863\pi\)
\(740\) −1.31492e8 7.45731e8i −0.0119286 0.0676505i
\(741\) 3.19607e9 + 9.64334e9i 0.288571 + 0.870690i
\(742\) 1.53206e8 5.57625e7i 0.0137677 0.00501104i
\(743\) 1.66219e10 6.04988e9i 1.48669 0.541110i 0.534113 0.845413i \(-0.320646\pi\)
0.952575 + 0.304303i \(0.0984235\pi\)
\(744\) −5.37486e8 + 6.04038e8i −0.0478478 + 0.0537724i
\(745\) −2.74693e8 1.55786e9i −0.0243389 0.138033i
\(746\) −8.81247e8 + 1.52637e9i −0.0777163 + 0.134609i
\(747\) 1.82138e9 + 1.55673e10i 0.159874 + 1.36644i
\(748\) 3.70103e9 + 6.41038e9i 0.323346 + 0.560052i
\(749\) −8.37827e8 + 7.03020e8i −0.0728564 + 0.0611338i
\(750\) −4.90617e9 + 7.18938e8i −0.424647 + 0.0622267i
\(751\) −7.03216e8 + 3.98814e9i −0.0605828 + 0.343582i 0.939417 + 0.342777i \(0.111367\pi\)
−1.00000 0.000805200i \(0.999744\pi\)
\(752\) −5.88828e9 4.94085e9i −0.504924 0.423681i
\(753\) 8.02847e7 2.76470e9i 0.00685252 0.235975i
\(754\) 2.30005e9 + 8.37149e8i 0.195406 + 0.0711218i
\(755\) 5.12955e9 0.433775