Properties

Label 43.10.g.a.9.9
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(32\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.9
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-16.1357 - 20.2335i) q^{2} +(-257.419 - 38.7997i) q^{3} +(-35.1038 + 153.800i) q^{4} +(-1370.08 - 934.106i) q^{5} +(3368.58 + 5834.56i) q^{6} +(71.3754 - 123.626i) q^{7} +(-8259.84 + 3977.73i) q^{8} +(45950.8 + 14173.9i) q^{9} +O(q^{10})\) \(q+(-16.1357 - 20.2335i) q^{2} +(-257.419 - 38.7997i) q^{3} +(-35.1038 + 153.800i) q^{4} +(-1370.08 - 934.106i) q^{5} +(3368.58 + 5834.56i) q^{6} +(71.3754 - 123.626i) q^{7} +(-8259.84 + 3977.73i) q^{8} +(45950.8 + 14173.9i) q^{9} +(3206.97 + 42794.0i) q^{10} +(5122.32 + 22442.3i) q^{11} +(15003.8 - 38229.0i) q^{12} +(-614.346 + 8197.88i) q^{13} +(-3653.07 + 550.612i) q^{14} +(316442. + 293616. i) q^{15} +(286533. + 137987. i) q^{16} +(-149481. + 101914. i) q^{17} +(-454659. - 1.15845e6i) q^{18} +(-319162. + 98448.4i) q^{19} +(191760. - 177928. i) q^{20} +(-23170.1 + 29054.3i) q^{21} +(371435. - 465765. i) q^{22} +(847527. - 786391. i) q^{23} +(2.28058e6 - 703465. i) q^{24} +(291013. + 741490. i) q^{25} +(175785. - 119848. i) q^{26} +(-6.66209e6 - 3.20829e6i) q^{27} +(16508.1 + 15317.3i) q^{28} +(-6.57910e6 + 991640. i) q^{29} +(834860. - 1.11404e7i) q^{30} +(-2.85498e6 + 7.27436e6i) q^{31} +(-786960. - 3.44790e6i) q^{32} +(-447827. - 5.97583e6i) q^{33} +(4.47406e6 + 1.38006e6i) q^{34} +(-213270. + 102705. i) q^{35} +(-3.79299e6 + 6.56966e6i) q^{36} +(-4.64512e6 - 8.04558e6i) q^{37} +(7.14185e6 + 4.86923e6i) q^{38} +(476220. - 2.08646e6i) q^{39} +(1.50323e7 + 2.26575e6i) q^{40} +(4.17621e6 + 5.23681e6i) q^{41} +961735. q^{42} +(2.19983e7 + 4.32039e6i) q^{43} -3.63144e6 q^{44} +(-4.97163e7 - 6.23423e7i) q^{45} +(-2.95869e7 - 4.45950e6i) q^{46} +(1.12269e7 - 4.91883e7i) q^{47} +(-6.84053e7 - 4.66380e7i) q^{48} +(2.01666e7 + 3.49296e7i) q^{49} +(1.03072e7 - 1.78527e7i) q^{50} +(4.24335e7 - 2.04349e7i) q^{51} +(-1.23927e6 - 382263. i) q^{52} +(5.28163e6 + 7.04784e7i) q^{53} +(4.25824e7 + 1.86565e8i) q^{54} +(1.39455e7 - 3.55326e7i) q^{55} +(-97799.3 + 1.30504e6i) q^{56} +(8.59782e7 - 1.29591e7i) q^{57} +(1.26223e8 + 1.17117e8i) q^{58} +(-9.92058e7 - 4.77750e7i) q^{59} +(-5.62664e7 + 3.83618e7i) q^{60} +(7.22866e7 + 1.84183e8i) q^{61} +(1.93253e8 - 5.96106e7i) q^{62} +(5.03202e6 - 4.66903e6i) q^{63} +(4.44581e7 - 5.57487e7i) q^{64} +(8.49939e6 - 1.06579e7i) q^{65} +(-1.13686e8 + 1.05485e8i) q^{66} +(-1.28344e8 + 3.95890e7i) q^{67} +(-1.04271e7 - 2.65677e7i) q^{68} +(-2.48682e8 + 1.69548e8i) q^{69} +(5.51934e6 + 2.65797e6i) q^{70} +(5.11999e7 + 4.75065e7i) q^{71} +(-4.35926e8 + 6.57052e7i) q^{72} +(1.33276e7 - 1.77845e8i) q^{73} +(-8.78381e7 + 2.23808e8i) q^{74} +(-4.61428e7 - 2.02165e8i) q^{75} +(-3.93755e6 - 5.25429e7i) q^{76} +(3.14006e6 + 968580. i) q^{77} +(-4.99004e7 + 2.40308e7i) q^{78} +(2.43588e8 - 4.21907e8i) q^{79} +(-2.63679e8 - 4.56706e8i) q^{80} +(8.08436e8 + 5.51182e8i) q^{81} +(3.85729e7 - 1.68999e8i) q^{82} +(-4.94856e8 - 7.45875e7i) q^{83} +(-3.65519e6 - 4.58347e6i) q^{84} +3.00000e8 q^{85} +(-2.67542e8 - 5.14816e8i) q^{86} +1.73206e9 q^{87} +(-1.31579e8 - 1.64995e8i) q^{88} +(-7.10178e8 - 1.07042e8i) q^{89} +(-4.59197e8 + 2.01187e9i) q^{90} +(969620. + 661076. i) q^{91} +(9.11953e7 + 1.57955e8i) q^{92} +(1.01717e9 - 1.76179e9i) q^{93} +(-1.17641e9 + 5.66527e8i) q^{94} +(5.29239e8 + 1.63249e8i) q^{95} +(6.88013e7 + 9.18090e8i) q^{96} +(-3.06515e7 - 1.34293e8i) q^{97} +(3.81346e8 - 9.71654e8i) q^{98} +(-8.27218e7 + 1.10385e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + O(q^{10}) \) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + 6223q^{10} + 180668q^{11} - 270774q^{12} + 11245q^{13} - 271206q^{14} - 835123q^{15} - 6169448q^{16} - 65194q^{17} - 466218q^{18} - 1417919q^{19} + 5877261q^{20} + 3242929q^{21} - 4296822q^{22} - 2544899q^{23} - 6043976q^{24} + 9428207q^{25} - 11482629q^{26} + 20117988q^{27} + 7310292q^{28} - 5289921q^{29} + 23977480q^{30} - 47539873q^{31} + 18747558q^{32} - 68064193q^{33} - 73743233q^{34} - 15006505q^{35} - 203628199q^{36} + 62563960q^{37} + 108303102q^{38} + 70931426q^{39} + 14772713q^{40} - 35636128q^{41} + 29601006q^{42} - 207110915q^{43} + 367809332q^{44} + 122079484q^{45} + 164249271q^{46} + 25529106q^{47} + 191670995q^{48} - 815972056q^{49} - 210640197q^{50} - 392161947q^{51} - 873472922q^{52} + 87568125q^{53} + 627150582q^{54} + 628156420q^{55} + 725546751q^{56} - 402646583q^{57} - 677654606q^{58} + 552834314q^{59} + 990764675q^{60} + 376844345q^{61} + 76529685q^{62} - 505887225q^{63} + 621236102q^{64} + 8885906q^{65} + 895281647q^{66} + 789662056q^{67} - 2265959151q^{68} - 2055955619q^{69} + 3236566615q^{70} + 635670789q^{71} - 1964730073q^{72} + 1333013552q^{73} - 5184014638q^{74} + 720042326q^{75} + 477329288q^{76} + 2282266995q^{77} + 5133145036q^{78} + 2903853142q^{79} + 6779574014q^{80} + 3699743739q^{81} - 1268184088q^{82} - 3074947634q^{83} - 1313116801q^{84} + 1946616146q^{85} - 10088814540q^{86} - 6085081326q^{87} - 8012630430q^{88} - 1632065068q^{89} + 3316166089q^{90} + 5386571784q^{91} + 2280339030q^{92} + 2459095364q^{93} - 5048567488q^{94} - 1597173221q^{95} - 10288936616q^{96} - 4337315288q^{97} - 14989446392q^{98} - 5338096561q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −16.1357 20.2335i −0.713103 0.894203i 0.284822 0.958580i \(-0.408065\pi\)
−0.997926 + 0.0643772i \(0.979494\pi\)
\(3\) −257.419 38.7997i −1.83483 0.276556i −0.861801 0.507246i \(-0.830664\pi\)
−0.973027 + 0.230690i \(0.925902\pi\)
\(4\) −35.1038 + 153.800i −0.0685621 + 0.300390i
\(5\) −1370.08 934.106i −0.980351 0.668392i −0.0366969 0.999326i \(-0.511684\pi\)
−0.943654 + 0.330935i \(0.892636\pi\)
\(6\) 3368.58 + 5834.56i 1.06113 + 1.83792i
\(7\) 71.3754 123.626i 0.0112359 0.0194611i −0.860353 0.509699i \(-0.829757\pi\)
0.871589 + 0.490238i \(0.163090\pi\)
\(8\) −8259.84 + 3977.73i −0.712962 + 0.343345i
\(9\) 45950.8 + 14173.9i 2.33454 + 0.720110i
\(10\) 3206.97 + 42794.0i 0.101413 + 1.35326i
\(11\) 5122.32 + 22442.3i 0.105487 + 0.462169i 0.999889 + 0.0149048i \(0.00474452\pi\)
−0.894402 + 0.447264i \(0.852398\pi\)
\(12\) 15003.8 38229.0i 0.208874 0.532203i
\(13\) −614.346 + 8197.88i −0.00596579 + 0.0796079i −0.999392 0.0348666i \(-0.988899\pi\)
0.993426 + 0.114475i \(0.0365184\pi\)
\(14\) −3653.07 + 550.612i −0.0254145 + 0.00383063i
\(15\) 316442. + 293616.i 1.61393 + 1.49751i
\(16\) 286533. + 137987.i 1.09304 + 0.526379i
\(17\) −149481. + 101914.i −0.434076 + 0.295948i −0.760575 0.649250i \(-0.775083\pi\)
0.326500 + 0.945197i \(0.394131\pi\)
\(18\) −454659. 1.15845e6i −1.02084 2.60107i
\(19\) −319162. + 98448.4i −0.561849 + 0.173308i −0.562655 0.826692i \(-0.690220\pi\)
0.000805249 1.00000i \(0.499744\pi\)
\(20\) 191760. 177928.i 0.267993 0.248661i
\(21\) −23170.1 + 29054.3i −0.0259980 + 0.0326005i
\(22\) 371435. 465765.i 0.338050 0.423901i
\(23\) 847527. 786391.i 0.631507 0.585953i −0.298086 0.954539i \(-0.596348\pi\)
0.929594 + 0.368586i \(0.120158\pi\)
\(24\) 2.28058e6 703465.i 1.40312 0.432804i
\(25\) 291013. + 741490.i 0.148999 + 0.379643i
\(26\) 175785. 119848.i 0.0754399 0.0514340i
\(27\) −6.66209e6 3.20829e6i −2.41253 1.16182i
\(28\) 16508.1 + 15317.3i 0.00507557 + 0.00470945i
\(29\) −6.57910e6 + 991640.i −1.72733 + 0.260353i −0.936244 0.351351i \(-0.885722\pi\)
−0.791087 + 0.611704i \(0.790484\pi\)
\(30\) 834860. 1.11404e7i 0.188178 2.51106i
\(31\) −2.85498e6 + 7.27436e6i −0.555233 + 1.41471i 0.327508 + 0.944848i \(0.393791\pi\)
−0.882740 + 0.469861i \(0.844304\pi\)
\(32\) −786960. 3.44790e6i −0.132672 0.581272i
\(33\) −447827. 5.97583e6i −0.0657351 0.877174i
\(34\) 4.47406e6 + 1.38006e6i 0.574178 + 0.177110i
\(35\) −213270. + 102705.i −0.0240228 + 0.0115688i
\(36\) −3.79299e6 + 6.56966e6i −0.376375 + 0.651901i
\(37\) −4.64512e6 8.04558e6i −0.407464 0.705748i 0.587141 0.809485i \(-0.300253\pi\)
−0.994605 + 0.103737i \(0.966920\pi\)
\(38\) 7.14185e6 + 4.86923e6i 0.555629 + 0.378821i
\(39\) 476220. 2.08646e6i 0.0329622 0.144417i
\(40\) 1.50323e7 + 2.26575e6i 0.928442 + 0.139940i
\(41\) 4.17621e6 + 5.23681e6i 0.230810 + 0.289427i 0.883727 0.468003i \(-0.155026\pi\)
−0.652917 + 0.757430i \(0.726455\pi\)
\(42\) 961735. 0.0476907
\(43\) 2.19983e7 + 4.32039e6i 0.981255 + 0.192715i
\(44\) −3.63144e6 −0.146063
\(45\) −4.97163e7 6.23423e7i −1.80735 2.26635i
\(46\) −2.95869e7 4.45950e6i −0.974291 0.146851i
\(47\) 1.12269e7 4.91883e7i 0.335598 1.47035i −0.472514 0.881323i \(-0.656653\pi\)
0.808112 0.589029i \(-0.200490\pi\)
\(48\) −6.84053e7 4.66380e7i −1.85996 1.26810i
\(49\) 2.01666e7 + 3.49296e7i 0.499748 + 0.865588i
\(50\) 1.03072e7 1.78527e7i 0.233226 0.403960i
\(51\) 4.24335e7 2.04349e7i 0.878300 0.422967i
\(52\) −1.23927e6 382263.i −0.0235044 0.00725015i
\(53\) 5.28163e6 + 7.04784e7i 0.0919447 + 1.22692i 0.832156 + 0.554542i \(0.187106\pi\)
−0.740211 + 0.672374i \(0.765275\pi\)
\(54\) 4.25824e7 + 1.86565e8i 0.681487 + 2.98579i
\(55\) 1.39455e7 3.55326e7i 0.205496 0.523594i
\(56\) −97799.3 + 1.30504e6i −0.00132889 + 0.0177328i
\(57\) 8.59782e7 1.29591e7i 1.07883 0.162607i
\(58\) 1.26223e8 + 1.17117e8i 1.46457 + 1.35893i
\(59\) −9.92058e7 4.77750e7i −1.06587 0.513295i −0.183095 0.983095i \(-0.558611\pi\)
−0.882772 + 0.469801i \(0.844326\pi\)
\(60\) −5.62664e7 + 3.83618e7i −0.560490 + 0.382136i
\(61\) 7.22866e7 + 1.84183e8i 0.668457 + 1.70320i 0.710130 + 0.704070i \(0.248636\pi\)
−0.0416727 + 0.999131i \(0.513269\pi\)
\(62\) 1.93253e8 5.96106e7i 1.66098 0.512343i
\(63\) 5.03202e6 4.66903e6i 0.0402448 0.0373417i
\(64\) 4.44581e7 5.57487e7i 0.331239 0.415360i
\(65\) 8.49939e6 1.06579e7i 0.0590578 0.0740562i
\(66\) −1.13686e8 + 1.05485e8i −0.737496 + 0.684296i
\(67\) −1.28344e8 + 3.95890e7i −0.778108 + 0.240014i −0.658273 0.752779i \(-0.728713\pi\)
−0.119835 + 0.992794i \(0.538237\pi\)
\(68\) −1.04271e7 2.65677e7i −0.0591387 0.150683i
\(69\) −2.48682e8 + 1.69548e8i −1.32076 + 0.900477i
\(70\) 5.51934e6 + 2.65797e6i 0.0274755 + 0.0132315i
\(71\) 5.11999e7 + 4.75065e7i 0.239115 + 0.221866i 0.790623 0.612303i \(-0.209757\pi\)
−0.551508 + 0.834170i \(0.685947\pi\)
\(72\) −4.35926e8 + 6.57052e7i −1.91169 + 0.288140i
\(73\) 1.33276e7 1.77845e8i 0.0549288 0.732973i −0.899953 0.435987i \(-0.856399\pi\)
0.954882 0.296986i \(-0.0959816\pi\)
\(74\) −8.78381e7 + 2.23808e8i −0.340518 + 0.867626i
\(75\) −4.61428e7 2.02165e8i −0.168395 0.737786i
\(76\) −3.93755e6 5.25429e7i −0.0135383 0.180656i
\(77\) 3.14006e6 + 968580.i 0.0101796 + 0.00313998i
\(78\) −4.99004e7 + 2.40308e7i −0.152644 + 0.0735093i
\(79\) 2.43588e8 4.21907e8i 0.703613 1.21869i −0.263576 0.964639i \(-0.584902\pi\)
0.967190 0.254056i \(-0.0817646\pi\)
\(80\) −2.63679e8 4.56706e8i −0.719733 1.24661i
\(81\) 8.08436e8 + 5.51182e8i 2.08671 + 1.42270i
\(82\) 3.85729e7 1.68999e8i 0.0942149 0.412783i
\(83\) −4.94856e8 7.45875e7i −1.14453 0.172510i −0.450718 0.892666i \(-0.648832\pi\)
−0.693812 + 0.720156i \(0.744070\pi\)
\(84\) −3.65519e6 4.58347e6i −0.00801039 0.0100447i
\(85\) 3.00000e8 0.623355
\(86\) −2.67542e8 5.14816e8i −0.527410 1.01487i
\(87\) 1.73206e9 3.24136
\(88\) −1.31579e8 1.64995e8i −0.233892 0.293291i
\(89\) −7.10178e8 1.07042e8i −1.19981 0.180842i −0.481424 0.876488i \(-0.659880\pi\)
−0.718385 + 0.695646i \(0.755118\pi\)
\(90\) −4.59197e8 + 2.01187e9i −0.737747 + 3.23228i
\(91\) 969620. + 661076.i 0.00148223 + 0.00101057i
\(92\) 9.11953e7 + 1.57955e8i 0.132717 + 0.229873i
\(93\) 1.01717e9 1.76179e9i 1.41000 2.44220i
\(94\) −1.17641e9 + 5.66527e8i −1.55411 + 0.748420i
\(95\) 5.29239e8 + 1.63249e8i 0.666647 + 0.205633i
\(96\) 6.88013e7 + 9.18090e8i 0.0826754 + 1.10323i
\(97\) −3.06515e7 1.34293e8i −0.0351543 0.154021i 0.954304 0.298836i \(-0.0965984\pi\)
−0.989459 + 0.144815i \(0.953741\pi\)
\(98\) 3.81346e8 9.71654e8i 0.417640 1.06413i
\(99\) −8.27218e7 + 1.10385e9i −0.0865489 + 1.15491i
\(100\) −1.24257e8 + 1.87287e7i −0.124257 + 0.0187287i
\(101\) −9.17160e8 8.51000e8i −0.876998 0.813735i 0.106564 0.994306i \(-0.466015\pi\)
−0.983562 + 0.180570i \(0.942206\pi\)
\(102\) −1.09816e9 5.28847e8i −1.00454 0.483760i
\(103\) 5.45667e8 3.72030e8i 0.477706 0.325694i −0.300416 0.953808i \(-0.597125\pi\)
0.778121 + 0.628114i \(0.216173\pi\)
\(104\) −2.75345e7 7.01568e7i −0.0230796 0.0588058i
\(105\) 5.88847e7 1.81635e7i 0.0472771 0.0145830i
\(106\) 1.34080e9 1.24408e9i 1.03155 0.957135i
\(107\) 3.56578e8 4.47135e8i 0.262983 0.329771i −0.632755 0.774352i \(-0.718076\pi\)
0.895739 + 0.444581i \(0.146648\pi\)
\(108\) 7.27300e8 9.12005e8i 0.514406 0.645045i
\(109\) 4.19027e8 3.88800e8i 0.284330 0.263820i −0.525094 0.851044i \(-0.675970\pi\)
0.809424 + 0.587224i \(0.199779\pi\)
\(110\) −9.43970e8 + 2.91176e8i −0.614739 + 0.189622i
\(111\) 8.83577e8 + 2.25132e9i 0.552447 + 1.40761i
\(112\) 3.75102e7 2.55740e7i 0.0225252 0.0153574i
\(113\) −5.61203e8 2.70261e8i −0.323793 0.155930i 0.264925 0.964269i \(-0.414653\pi\)
−0.588718 + 0.808339i \(0.700367\pi\)
\(114\) −1.64953e9 1.53054e9i −0.914718 0.848734i
\(115\) −1.89575e9 + 2.85739e8i −1.01075 + 0.152345i
\(116\) 7.84374e7 1.04667e9i 0.0402219 0.536724i
\(117\) −1.44426e8 + 3.67991e8i −0.0712539 + 0.181552i
\(118\) 6.34098e8 + 2.77816e9i 0.301084 + 1.31913i
\(119\) 1.92998e6 + 2.57539e7i 0.000882252 + 0.0117728i
\(120\) −3.78169e9 1.16650e9i −1.66483 0.513532i
\(121\) 1.64702e9 7.93162e8i 0.698496 0.336378i
\(122\) 2.56028e9 4.43454e9i 1.04633 1.81230i
\(123\) −8.71851e8 1.51009e9i −0.343455 0.594881i
\(124\) −1.01857e9 6.94453e8i −0.386897 0.263782i
\(125\) −4.26761e8 + 1.86976e9i −0.156347 + 0.685001i
\(126\) −1.75666e8 2.64774e7i −0.0620897 0.00935852i
\(127\) −2.43848e9 3.05776e9i −0.831768 1.04300i −0.998375 0.0569810i \(-0.981853\pi\)
0.166607 0.986023i \(-0.446719\pi\)
\(128\) −3.65608e9 −1.20384
\(129\) −5.49517e9 1.96568e9i −1.74714 0.624971i
\(130\) −3.52790e8 −0.108336
\(131\) 1.01470e9 + 1.27239e9i 0.301034 + 0.377484i 0.909224 0.416307i \(-0.136676\pi\)
−0.608191 + 0.793791i \(0.708104\pi\)
\(132\) 9.34802e8 + 1.40899e8i 0.268001 + 0.0403947i
\(133\) −1.06095e7 + 4.64834e7i −0.00294011 + 0.0128815i
\(134\) 2.87195e9 + 1.95806e9i 0.769493 + 0.524631i
\(135\) 6.13072e9 + 1.06187e10i 1.58858 + 2.75150i
\(136\) 8.29300e8 1.43639e9i 0.207867 0.360037i
\(137\) 4.63637e9 2.23276e9i 1.12444 0.541501i 0.223178 0.974778i \(-0.428357\pi\)
0.901261 + 0.433277i \(0.142643\pi\)
\(138\) 7.44321e9 + 2.29592e9i 1.74705 + 0.538892i
\(139\) 4.18883e8 + 5.58960e9i 0.0951756 + 1.27003i 0.816464 + 0.577396i \(0.195931\pi\)
−0.721289 + 0.692634i \(0.756450\pi\)
\(140\) −8.30947e6 3.64062e7i −0.00182809 0.00800938i
\(141\) −4.79851e9 + 1.22264e10i −1.02240 + 2.60503i
\(142\) 1.35079e8 1.80250e9i 0.0278798 0.372031i
\(143\) −1.87126e8 + 2.82048e7i −0.0374216 + 0.00564040i
\(144\) 1.12106e10 + 1.04019e10i 2.17269 + 2.01596i
\(145\) 9.94020e9 + 4.78695e9i 1.86741 + 0.899296i
\(146\) −3.81347e9 + 2.59998e9i −0.694597 + 0.473568i
\(147\) −3.83602e9 9.77401e9i −0.677568 1.72641i
\(148\) 1.40047e9 4.31988e8i 0.239936 0.0740105i
\(149\) −1.43496e9 + 1.33145e9i −0.238507 + 0.221302i −0.790365 0.612636i \(-0.790109\pi\)
0.551859 + 0.833938i \(0.313919\pi\)
\(150\) −3.34596e9 + 4.19570e9i −0.539647 + 0.676696i
\(151\) −1.19949e9 + 1.50412e9i −0.187759 + 0.235443i −0.866798 0.498660i \(-0.833826\pi\)
0.679038 + 0.734103i \(0.262397\pi\)
\(152\) 2.24462e9 2.08271e9i 0.341073 0.316470i
\(153\) −8.31328e9 + 2.56431e9i −1.22648 + 0.378320i
\(154\) −3.10692e7 7.91631e7i −0.00445130 0.0113417i
\(155\) 1.07066e10 7.29962e9i 1.48990 1.01580i
\(156\) 3.04179e8 + 1.46485e8i 0.0411215 + 0.0198031i
\(157\) −4.60350e8 4.27143e8i −0.0604700 0.0561080i 0.649359 0.760482i \(-0.275037\pi\)
−0.709829 + 0.704374i \(0.751228\pi\)
\(158\) −1.24671e10 + 1.87912e9i −1.59151 + 0.239881i
\(159\) 1.37495e9 1.83474e10i 0.170608 2.27661i
\(160\) −2.14250e9 + 5.45901e9i −0.258453 + 0.658527i
\(161\) −3.67256e7 1.60905e8i −0.00430776 0.0188735i
\(162\) −1.89232e9 2.52512e10i −0.215862 2.88048i
\(163\) 6.64358e9 + 2.04927e9i 0.737154 + 0.227382i 0.640524 0.767938i \(-0.278717\pi\)
0.0966304 + 0.995320i \(0.469194\pi\)
\(164\) −9.52020e8 + 4.58469e8i −0.102766 + 0.0494894i
\(165\) −4.96850e9 + 8.60570e9i −0.521852 + 0.903875i
\(166\) 6.47567e9 + 1.12162e10i 0.661909 + 1.14646i
\(167\) −6.36050e9 4.33652e9i −0.632801 0.431436i 0.203979 0.978975i \(-0.434612\pi\)
−0.836780 + 0.547539i \(0.815565\pi\)
\(168\) 7.58106e7 3.32148e8i 0.00734241 0.0321692i
\(169\) 1.04192e10 + 1.57045e9i 0.982529 + 0.148092i
\(170\) −4.84070e9 6.07004e9i −0.444517 0.557406i
\(171\) −1.60611e10 −1.43646
\(172\) −1.43670e9 + 3.23168e9i −0.125167 + 0.281546i
\(173\) −9.73415e9 −0.826210 −0.413105 0.910683i \(-0.635556\pi\)
−0.413105 + 0.910683i \(0.635556\pi\)
\(174\) −2.79480e10 3.50457e10i −2.31142 2.89843i
\(175\) 1.12438e8 + 1.69474e7i 0.00906241 + 0.00136594i
\(176\) −1.62904e9 + 7.13729e9i −0.127975 + 0.560694i
\(177\) 2.36838e10 + 1.61474e10i 1.81373 + 1.23658i
\(178\) 9.29337e9 + 1.60966e10i 0.693878 + 1.20183i
\(179\) 1.33978e10 2.32057e10i 0.975429 1.68949i 0.296916 0.954904i \(-0.404042\pi\)
0.678513 0.734589i \(-0.262625\pi\)
\(180\) 1.13335e10 5.45791e9i 0.804705 0.387525i
\(181\) 2.28730e10 + 7.05538e9i 1.58405 + 0.488615i 0.956933 0.290309i \(-0.0937579\pi\)
0.627119 + 0.778924i \(0.284234\pi\)
\(182\) −2.26960e6 3.02857e7i −0.000153330 0.00204605i
\(183\) −1.14617e10 5.02171e10i −0.755474 3.30995i
\(184\) −3.87239e9 + 9.86669e9i −0.249057 + 0.634587i
\(185\) −1.15123e9 + 1.53621e10i −0.0722587 + 0.964226i
\(186\) −5.20599e10 + 7.84677e9i −3.18930 + 0.480709i
\(187\) −3.05288e9 2.83266e9i −0.182567 0.169398i
\(188\) 7.17104e9 + 3.45339e9i 0.418670 + 0.201621i
\(189\) −8.72137e8 + 5.94613e8i −0.0497172 + 0.0338966i
\(190\) −5.23654e9 1.33425e10i −0.291510 0.742755i
\(191\) 7.80413e9 2.40726e9i 0.424301 0.130880i −0.0752485 0.997165i \(-0.523975\pi\)
0.499550 + 0.866285i \(0.333499\pi\)
\(192\) −1.36074e10 + 1.26258e10i −0.722637 + 0.670509i
\(193\) −1.65031e10 + 2.06942e10i −0.856165 + 1.07360i 0.140343 + 0.990103i \(0.455180\pi\)
−0.996508 + 0.0834945i \(0.973392\pi\)
\(194\) −2.22263e9 + 2.78709e9i −0.112657 + 0.141268i
\(195\) −2.60143e9 + 2.41377e9i −0.128842 + 0.119548i
\(196\) −6.08009e9 + 1.87546e9i −0.294278 + 0.0907727i
\(197\) −1.37602e9 3.50604e9i −0.0650918 0.165851i 0.894627 0.446814i \(-0.147441\pi\)
−0.959719 + 0.280963i \(0.909346\pi\)
\(198\) 2.36694e10 1.61375e10i 1.09445 0.746181i
\(199\) 3.17570e10 + 1.52934e10i 1.43549 + 0.691297i 0.980010 0.198948i \(-0.0637526\pi\)
0.455482 + 0.890245i \(0.349467\pi\)
\(200\) −5.35317e9 4.96701e9i −0.236579 0.219513i
\(201\) 3.45743e10 5.21124e9i 1.49407 0.225195i
\(202\) −2.41971e9 + 3.22888e10i −0.102255 + 1.36449i
\(203\) −3.46994e8 + 8.84125e8i −0.0143413 + 0.0365411i
\(204\) 1.65331e9 + 7.24361e9i 0.0668371 + 0.292832i
\(205\) −8.30022e8 1.10759e10i −0.0328244 0.438012i
\(206\) −1.63322e10 5.03781e9i −0.631890 0.194912i
\(207\) 5.00908e10 2.41224e10i 1.89623 0.913177i
\(208\) −1.30723e9 + 2.26419e9i −0.0484248 + 0.0838742i
\(209\) −3.84426e9 6.65845e9i −0.139365 0.241388i
\(210\) −1.31766e9 8.98363e8i −0.0467536 0.0318761i
\(211\) 6.62081e9 2.90077e10i 0.229954 1.00749i −0.719723 0.694261i \(-0.755731\pi\)
0.949677 0.313231i \(-0.101412\pi\)
\(212\) −1.10250e10 1.66175e9i −0.374858 0.0565007i
\(213\) −1.13366e10 1.42156e10i −0.377376 0.473215i
\(214\) −1.48008e10 −0.482416
\(215\) −2.61038e10 2.64681e10i −0.833165 0.844791i
\(216\) 6.77895e10 2.11895
\(217\) 6.95524e8 + 8.72159e8i 0.0212933 + 0.0267010i
\(218\) −1.46281e10 2.20483e9i −0.438665 0.0661181i
\(219\) −1.03311e10 + 4.52636e10i −0.303493 + 1.32969i
\(220\) 4.97537e9 + 3.39215e9i 0.143193 + 0.0976276i
\(221\) −7.43648e8 1.28804e9i −0.0209702 0.0363214i
\(222\) 3.12949e10 5.42044e10i 0.864740 1.49777i
\(223\) −5.82685e10 + 2.80606e10i −1.57784 + 0.759845i −0.998474 0.0552253i \(-0.982412\pi\)
−0.579361 + 0.815071i \(0.696698\pi\)
\(224\) −4.82419e8 1.48806e8i −0.0128029 0.00394917i
\(225\) 2.86246e9 + 3.81968e10i 0.0744590 + 0.993587i
\(226\) 3.58706e9 + 1.57160e10i 0.0914642 + 0.400731i
\(227\) 2.20476e10 5.61762e10i 0.551117 1.40422i −0.335641 0.941990i \(-0.608953\pi\)
0.886758 0.462234i \(-0.152952\pi\)
\(228\) −1.02505e9 + 1.36783e10i −0.0251211 + 0.335218i
\(229\) −6.36078e10 + 9.58733e9i −1.52845 + 0.230376i −0.858803 0.512306i \(-0.828791\pi\)
−0.669644 + 0.742682i \(0.733553\pi\)
\(230\) 3.63708e10 + 3.37472e10i 0.856993 + 0.795173i
\(231\) −7.70731e8 3.71165e8i −0.0178094 0.00857655i
\(232\) 5.03978e10 3.43606e10i 1.14213 0.778691i
\(233\) 2.41510e10 + 6.15358e10i 0.536827 + 1.36781i 0.899918 + 0.436059i \(0.143626\pi\)
−0.363091 + 0.931754i \(0.618279\pi\)
\(234\) 9.77616e9 3.01554e9i 0.213156 0.0657498i
\(235\) −6.13288e10 + 5.69048e10i −1.31177 + 1.21715i
\(236\) 1.08303e10 1.35807e10i 0.227267 0.284983i
\(237\) −7.90741e10 + 9.91558e10i −1.62805 + 2.04151i
\(238\) 4.89949e8 4.54606e8i 0.00989817 0.00918416i
\(239\) 3.06921e10 9.46726e9i 0.608466 0.187687i 0.0248157 0.999692i \(-0.492100\pi\)
0.583650 + 0.812005i \(0.301624\pi\)
\(240\) 5.01561e10 + 1.27796e11i 0.975828 + 2.48637i
\(241\) 3.30486e10 2.25321e10i 0.631067 0.430254i −0.205091 0.978743i \(-0.565749\pi\)
0.836158 + 0.548489i \(0.184797\pi\)
\(242\) −4.26242e10 2.05267e10i −0.798890 0.384725i
\(243\) −8.00306e10 7.42575e10i −1.47241 1.36619i
\(244\) −3.08649e10 + 4.65213e9i −0.557456 + 0.0840230i
\(245\) 4.99804e9 6.66942e10i 0.0886241 1.18261i
\(246\) −1.64865e10 + 4.20070e10i −0.287026 + 0.731330i
\(247\) −6.10992e8 2.67693e9i −0.0104448 0.0457616i
\(248\) −5.35379e9 7.14414e10i −0.0898729 1.19927i
\(249\) 1.24491e11 + 3.84005e10i 2.05231 + 0.633053i
\(250\) 4.47179e10 2.15350e10i 0.724022 0.348670i
\(251\) 1.43002e10 2.47686e10i 0.227410 0.393886i −0.729630 0.683842i \(-0.760308\pi\)
0.957040 + 0.289957i \(0.0936409\pi\)
\(252\) 5.41453e8 + 9.37824e8i 0.00845781 + 0.0146494i
\(253\) 2.19897e10 + 1.49923e10i 0.337425 + 0.230053i
\(254\) −2.25226e10 + 9.86780e10i −0.339521 + 1.48754i
\(255\) −7.72257e10 1.16399e10i −1.14375 0.172393i
\(256\) 3.62307e10 + 4.54319e10i 0.527227 + 0.661121i
\(257\) 1.78358e10 0.255031 0.127515 0.991837i \(-0.459300\pi\)
0.127515 + 0.991837i \(0.459300\pi\)
\(258\) 4.88956e10 + 1.42904e11i 0.687039 + 2.00796i
\(259\) −1.32619e9 −0.0183129
\(260\) 1.34082e9 + 1.68134e9i 0.0181966 + 0.0228178i
\(261\) −3.16370e11 4.76851e10i −4.22001 0.636064i
\(262\) 9.37207e9 4.10617e10i 0.122880 0.538370i
\(263\) −1.10299e10 7.52002e9i −0.142157 0.0969211i 0.490153 0.871636i \(-0.336941\pi\)
−0.632310 + 0.774715i \(0.717893\pi\)
\(264\) 2.74692e10 + 4.75781e10i 0.348040 + 0.602822i
\(265\) 5.85981e10 1.01495e11i 0.729923 1.26426i
\(266\) 1.11172e9 5.35374e8i 0.0136153 0.00655677i
\(267\) 1.78660e11 + 5.51094e10i 2.15143 + 0.663628i
\(268\) −1.58340e9 2.11290e10i −0.0187493 0.250192i
\(269\) 2.61301e10 + 1.14483e11i 0.304267 + 1.33308i 0.863616 + 0.504150i \(0.168194\pi\)
−0.559349 + 0.828932i \(0.688949\pi\)
\(270\) 1.15931e11 2.95386e11i 1.32758 3.38262i
\(271\) 4.52549e9 6.03884e10i 0.0509687 0.680130i −0.911944 0.410315i \(-0.865419\pi\)
0.962912 0.269814i \(-0.0869623\pi\)
\(272\) −5.68941e10 + 8.57540e9i −0.630242 + 0.0949936i
\(273\) −2.23949e8 2.07795e8i −0.00244016 0.00226414i
\(274\) −1.19988e11 5.77830e10i −1.28605 0.619330i
\(275\) −1.51501e10 + 1.03292e10i −0.159742 + 0.108910i
\(276\) −1.73468e10 4.41990e10i −0.179941 0.458481i
\(277\) −5.54003e10 + 1.70887e10i −0.565396 + 0.174402i −0.564259 0.825598i \(-0.690838\pi\)
−0.00113707 + 0.999999i \(0.500362\pi\)
\(278\) 1.06338e11 9.86675e10i 1.06779 0.990769i
\(279\) −2.34295e11 + 2.93796e11i −2.31496 + 2.90287i
\(280\) 1.35304e9 1.69666e9i 0.0131553 0.0164962i
\(281\) −4.43047e10 + 4.11087e10i −0.423907 + 0.393329i −0.863074 0.505077i \(-0.831464\pi\)
0.439167 + 0.898405i \(0.355274\pi\)
\(282\) 3.24811e11 1.00191e11i 3.05850 0.943424i
\(283\) −5.44396e10 1.38710e11i −0.504518 1.28549i −0.925612 0.378473i \(-0.876449\pi\)
0.421095 0.907017i \(-0.361646\pi\)
\(284\) −9.10381e9 + 6.20687e9i −0.0830406 + 0.0566161i
\(285\) −1.29902e11 6.25577e10i −1.16631 0.561667i
\(286\) 3.59009e9 + 3.33112e9i 0.0317292 + 0.0294404i
\(287\) 9.45483e8 1.42509e8i 0.00822593 0.00123986i
\(288\) 1.27089e10 1.69588e11i 0.108853 1.45254i
\(289\) −3.13670e10 + 7.99219e10i −0.264504 + 0.673946i
\(290\) −6.35352e10 2.78366e11i −0.527501 2.31113i
\(291\) 2.67975e9 + 3.57588e10i 0.0219067 + 0.292324i
\(292\) 2.68846e10 + 8.29281e9i 0.216412 + 0.0667543i
\(293\) 1.42859e11 6.87972e10i 1.13241 0.545339i 0.228704 0.973496i \(-0.426551\pi\)
0.903705 + 0.428157i \(0.140837\pi\)
\(294\) −1.35866e11 + 2.35326e11i −1.06059 + 1.83699i
\(295\) 9.12932e10 + 1.58124e11i 0.701842 + 1.21563i
\(296\) 7.03710e10 + 4.79782e10i 0.532821 + 0.363271i
\(297\) 3.78763e10 1.65947e11i 0.282464 1.23756i
\(298\) 5.00939e10 + 7.55043e9i 0.367969 + 0.0554624i
\(299\) 5.92606e9 + 7.43104e9i 0.0428791 + 0.0537687i
\(300\) 3.27127e10 0.233169
\(301\) 2.10425e9 2.41119e9i 0.0147757 0.0169310i
\(302\) 4.97882e10 0.344426
\(303\) 2.03076e11 + 2.54649e11i 1.38410 + 1.73560i
\(304\) −1.05035e11 1.58315e10i −0.705348 0.106314i
\(305\) 7.30081e10 3.19870e11i 0.483083 2.11653i
\(306\) 1.86025e11 + 1.26830e11i 1.21290 + 0.826943i
\(307\) 2.98403e10 + 5.16850e10i 0.191726 + 0.332079i 0.945822 0.324685i \(-0.105258\pi\)
−0.754096 + 0.656764i \(0.771925\pi\)
\(308\) −2.59195e8 + 4.48939e8i −0.00164115 + 0.00284256i
\(309\) −1.54900e11 + 7.45959e10i −0.966580 + 0.465481i
\(310\) −3.20455e11 9.88472e10i −1.97078 0.607907i
\(311\) −1.88414e10 2.51421e11i −0.114207 1.52398i −0.700363 0.713786i \(-0.746979\pi\)
0.586157 0.810198i \(-0.300640\pi\)
\(312\) 4.36585e9 + 1.91281e10i 0.0260840 + 0.114281i
\(313\) 7.79629e9 1.98646e10i 0.0459133 0.116985i −0.906078 0.423112i \(-0.860938\pi\)
0.951991 + 0.306126i \(0.0990330\pi\)
\(314\) −1.21453e9 + 1.62067e10i −0.00705056 + 0.0940832i
\(315\) −1.12556e10 + 1.69651e9i −0.0644129 + 0.00970868i
\(316\) 5.63383e10 + 5.22743e10i 0.317843 + 0.294915i
\(317\) 2.04596e11 + 9.85284e10i 1.13797 + 0.548018i 0.905399 0.424562i \(-0.139572\pi\)
0.232571 + 0.972579i \(0.425286\pi\)
\(318\) −3.93419e11 + 2.68228e11i −2.15741 + 1.47090i
\(319\) −5.59549e10 1.42571e11i −0.302538 0.770855i
\(320\) −1.12986e11 + 3.48517e10i −0.602353 + 0.185801i
\(321\) −1.09139e11 + 1.01266e11i −0.573729 + 0.532343i
\(322\) −2.66308e9 + 3.33940e9i −0.0138049 + 0.0173108i
\(323\) 3.76753e10 4.72433e10i 0.192595 0.241507i
\(324\) −1.13151e11 + 1.04989e11i −0.570434 + 0.529285i
\(325\) −6.25742e9 + 1.93016e9i −0.0311115 + 0.00959661i
\(326\) −6.57348e10 1.67489e11i −0.322341 0.821312i
\(327\) −1.22951e11 + 8.38266e10i −0.594658 + 0.405431i
\(328\) −5.53254e10 2.66433e10i −0.263932 0.127103i
\(329\) −5.27962e9 4.89877e9i −0.0248440 0.0230518i
\(330\) 2.54294e11 3.83286e10i 1.18038 0.177914i
\(331\) 8.96519e9 1.19632e11i 0.0410519 0.547800i −0.938325 0.345756i \(-0.887623\pi\)
0.979376 0.202044i \(-0.0647584\pi\)
\(332\) 2.88429e10 7.34904e10i 0.130292 0.331978i
\(333\) −9.94092e10 4.35540e11i −0.443024 1.94102i
\(334\) 1.48881e10 + 1.98668e11i 0.0654606 + 0.873511i
\(335\) 2.12822e11 + 6.56470e10i 0.923242 + 0.284782i
\(336\) −1.06481e10 + 5.12786e9i −0.0455770 + 0.0219487i
\(337\) −1.17155e11 + 2.02918e11i −0.494796 + 0.857011i −0.999982 0.00599898i \(-0.998090\pi\)
0.505186 + 0.863010i \(0.331424\pi\)
\(338\) −1.36346e11 2.36158e11i −0.568220 0.984186i
\(339\) 1.33978e11 + 9.13450e10i 0.550981 + 0.375652i
\(340\) −1.05311e10 + 4.61399e10i −0.0427385 + 0.187250i
\(341\) −1.77878e11 2.68108e10i −0.712405 0.107378i
\(342\) 2.59157e11 + 3.24973e11i 1.02434 + 1.28449i
\(343\) 1.15181e10 0.0449322
\(344\) −1.98888e11 + 5.18177e10i −0.765765 + 0.199510i
\(345\) 4.99090e11 1.89668
\(346\) 1.57067e11 + 1.96956e11i 0.589173 + 0.738800i
\(347\) 1.69683e11 + 2.55757e10i 0.628285 + 0.0946988i 0.455464 0.890254i \(-0.349473\pi\)
0.172822 + 0.984953i \(0.444712\pi\)
\(348\) −6.08020e10 + 2.66391e11i −0.222234 + 0.973672i
\(349\) −1.61530e10 1.10130e10i −0.0582827 0.0397365i 0.533828 0.845593i \(-0.320753\pi\)
−0.592111 + 0.805856i \(0.701705\pi\)
\(350\) −1.47137e9 2.54848e9i −0.00524100 0.00907769i
\(351\) 3.03940e10 5.26440e10i 0.106882 0.185126i
\(352\) 7.33478e10 3.53224e10i 0.254651 0.122633i
\(353\) 9.51610e10 + 2.93533e10i 0.326192 + 0.100617i 0.453526 0.891243i \(-0.350166\pi\)
−0.127334 + 0.991860i \(0.540642\pi\)
\(354\) −5.54370e10 7.39756e11i −0.187623 2.50365i
\(355\) −2.57719e10 1.12914e11i −0.0861229 0.377329i
\(356\) 4.13930e10 1.05468e11i 0.136585 0.348012i
\(357\) 5.02427e8 6.70442e9i 0.00163707 0.0218451i
\(358\) −6.85716e11 + 1.03355e11i −2.20633 + 0.332551i
\(359\) −1.82309e11 1.69158e11i −0.579274 0.537488i 0.335192 0.942150i \(-0.391199\pi\)
−0.914466 + 0.404662i \(0.867389\pi\)
\(360\) 6.58630e11 + 3.17179e11i 2.06671 + 0.995276i
\(361\) −1.74445e11 + 1.18934e11i −0.540600 + 0.368575i
\(362\) −2.26316e11 5.76644e11i −0.692671 1.76490i
\(363\) −4.54749e11 + 1.40271e11i −1.37465 + 0.424023i
\(364\) −1.35711e8 + 1.25921e8i −0.000405189 + 0.000375960i
\(365\) −1.84386e11 + 2.31212e11i −0.543763 + 0.681857i
\(366\) −8.31125e11 + 1.04220e12i −2.42104 + 3.03588i
\(367\) 1.13309e11 1.05135e11i 0.326036 0.302517i −0.500123 0.865955i \(-0.666712\pi\)
0.826159 + 0.563437i \(0.190521\pi\)
\(368\) 3.51357e11 1.08379e11i 0.998695 0.308057i
\(369\) 1.17674e11 + 2.99829e11i 0.330417 + 0.841888i
\(370\) 3.29406e11 2.24585e11i 0.913741 0.622978i
\(371\) 9.08993e9 + 4.37748e9i 0.0249102 + 0.0119961i
\(372\) 2.35256e11 + 2.18286e11i 0.636939 + 0.590993i
\(373\) 3.72815e11 5.61929e10i 0.997250 0.150311i 0.369919 0.929064i \(-0.379385\pi\)
0.627331 + 0.778753i \(0.284147\pi\)
\(374\) −8.05432e9 + 1.07477e11i −0.0212866 + 0.284050i
\(375\) 1.82403e11 4.64755e11i 0.476311 1.21362i
\(376\) 1.02925e11 + 4.50945e11i 0.265568 + 1.16353i
\(377\) −4.08750e9 5.45439e10i −0.0104213 0.139062i
\(378\) 2.61036e10 + 8.05190e9i 0.0657639 + 0.0202855i
\(379\) 2.26378e11 1.09018e11i 0.563583 0.271407i −0.130324 0.991471i \(-0.541602\pi\)
0.693908 + 0.720064i \(0.255888\pi\)
\(380\) −4.36859e10 + 7.56662e10i −0.107477 + 0.186155i
\(381\) 5.09072e11 + 8.81738e11i 1.23770 + 2.14376i
\(382\) −1.74632e11 1.19062e11i −0.419604 0.286081i
\(383\) −1.34459e11 + 5.89102e11i −0.319296 + 1.39893i 0.519494 + 0.854474i \(0.326121\pi\)
−0.838790 + 0.544455i \(0.816737\pi\)
\(384\) 9.41145e11 + 1.41855e11i 2.20885 + 0.332930i
\(385\) −3.39738e9 4.26018e9i −0.00788081 0.00988222i
\(386\) 6.85006e11 1.57055
\(387\) 9.49603e11 + 5.10328e11i 2.15200 + 1.15651i
\(388\) 2.17302e10 0.0486767
\(389\) −9.21103e10 1.15503e11i −0.203955 0.255752i 0.669325 0.742969i \(-0.266583\pi\)
−0.873281 + 0.487218i \(0.838012\pi\)
\(390\) 9.08150e10 + 1.36882e10i 0.198777 + 0.0299609i
\(391\) −4.65447e10 + 2.03925e11i −0.100710 + 0.441241i
\(392\) −3.05513e11 2.08296e11i −0.653496 0.445546i
\(393\) −2.11834e11 3.66907e11i −0.447950 0.775872i
\(394\) −4.87365e10 + 8.44140e10i −0.101888 + 0.176474i
\(395\) −7.27841e11 + 3.50510e11i −1.50435 + 0.724458i
\(396\) −1.66867e11 5.14718e10i −0.340991 0.105182i
\(397\) 8.68613e9 + 1.15908e11i 0.0175497 + 0.234184i 0.999080 + 0.0428789i \(0.0136530\pi\)
−0.981531 + 0.191305i \(0.938728\pi\)
\(398\) −2.02983e11 8.89325e11i −0.405494 1.77659i
\(399\) 4.53465e9 1.15541e10i 0.00895706 0.0228222i
\(400\) −1.89311e10 + 2.52618e11i −0.0369747 + 0.493394i
\(401\) 3.51008e10 5.29060e9i 0.0677904 0.0102178i −0.115060 0.993359i \(-0.536706\pi\)
0.182850 + 0.983141i \(0.441468\pi\)
\(402\) −6.63322e11 6.15473e11i −1.26680 1.17542i
\(403\) −5.78804e10 2.78737e10i −0.109310 0.0526408i
\(404\) 1.63079e11 1.11186e11i 0.304567 0.207650i
\(405\) −5.92761e11 1.51033e12i −1.09479 2.78949i
\(406\) 2.34879e10 7.24507e9i 0.0429020 0.0132335i
\(407\) 1.56768e11 1.45459e11i 0.283193 0.262764i
\(408\) −2.69209e11 + 3.37578e11i −0.480972 + 0.603119i
\(409\) 5.11162e11 6.40977e11i 0.903241 1.13263i −0.0874049 0.996173i \(-0.527857\pi\)
0.990646 0.136456i \(-0.0435712\pi\)
\(410\) −2.10711e11 + 1.95511e11i −0.368264 + 0.341699i
\(411\) −1.28012e12 + 3.94865e11i −2.21291 + 0.682592i
\(412\) 3.80631e10 + 9.69831e10i 0.0650828 + 0.165828i
\(413\) −1.29871e10 + 8.85444e9i −0.0219652 + 0.0149757i
\(414\) −1.29633e12 6.24280e11i −2.16877 1.04443i
\(415\) 6.08320e11 + 5.64438e11i 1.00674 + 0.934115i
\(416\) 2.87489e10 4.33320e9i 0.0470654 0.00709396i
\(417\) 1.09046e11 1.45512e12i 0.176603 2.35661i
\(418\) −7.26941e10 + 1.85222e11i −0.116468 + 0.296755i
\(419\) 3.34197e10 + 1.46421e11i 0.0529712 + 0.232082i 0.994483 0.104898i \(-0.0334516\pi\)
−0.941512 + 0.336980i \(0.890594\pi\)
\(420\) 7.26469e8 + 9.69406e9i 0.00113919 + 0.0152014i
\(421\) −5.26026e11 1.62258e11i −0.816090 0.251730i −0.141514 0.989936i \(-0.545197\pi\)
−0.674575 + 0.738206i \(0.735673\pi\)
\(422\) −6.93758e11 + 3.34096e11i −1.06488 + 0.512821i
\(423\) 1.21308e12 2.10111e12i 1.84228 3.19093i
\(424\) −3.23969e11 5.61132e11i −0.486808 0.843176i
\(425\) −1.19069e11 8.11801e10i −0.177031 0.120698i
\(426\) −1.04709e11 + 4.58758e11i −0.154042 + 0.674902i
\(427\) 2.79293e10 + 4.20966e9i 0.0406569 + 0.00612805i
\(428\) 5.62521e10 + 7.05378e10i 0.0810292 + 0.101607i
\(429\) 4.92643e10 0.0702222
\(430\) −1.14339e11 + 9.55252e11i −0.161282 + 1.34744i
\(431\) 3.59741e11 0.502160 0.251080 0.967966i \(-0.419214\pi\)
0.251080 + 0.967966i \(0.419214\pi\)
\(432\) −1.46621e12 1.83857e12i −2.02544 2.53982i
\(433\) −3.82717e11 5.76852e10i −0.523217 0.0788623i −0.117877 0.993028i \(-0.537609\pi\)
−0.405340 + 0.914166i \(0.632847\pi\)
\(434\) 6.42409e9 2.81458e10i 0.00869176 0.0380811i
\(435\) −2.37307e12 1.61793e12i −3.17767 2.16650i
\(436\) 4.50879e10 + 7.80946e10i 0.0597546 + 0.103498i
\(437\) −1.93080e11 + 3.34424e11i −0.253262 + 0.438662i
\(438\) 1.08254e12 5.21324e11i 1.40543 0.676822i
\(439\) 1.48255e12 + 4.57307e11i 1.90511 + 0.587648i 0.975963 + 0.217937i \(0.0699326\pi\)
0.929146 + 0.369712i \(0.120544\pi\)
\(440\) 2.61513e10 + 3.48965e11i 0.0332626 + 0.443859i
\(441\) 4.31581e11 + 1.89088e12i 0.543362 + 2.38062i
\(442\) −1.40622e10 + 3.58299e10i −0.0175248 + 0.0446525i
\(443\) 2.40552e9 3.20994e10i 0.00296750 0.0395986i −0.995523 0.0945147i \(-0.969870\pi\)
0.998491 + 0.0549161i \(0.0174891\pi\)
\(444\) −3.77269e11 + 5.68641e10i −0.460710 + 0.0694409i
\(445\) 8.73013e11 + 8.10038e11i 1.05536 + 0.979231i
\(446\) 1.50797e12 + 7.26198e11i 1.80462 + 0.869057i
\(447\) 4.21046e11 2.87064e11i 0.498822 0.340091i
\(448\) −3.71876e9 9.47525e9i −0.00436162 0.0111132i
\(449\) 1.15289e12 3.55619e11i 1.33868 0.412929i 0.458978 0.888447i \(-0.348216\pi\)
0.879706 + 0.475518i \(0.157739\pi\)
\(450\) 7.26668e11 6.74249e11i 0.835371 0.775111i
\(451\) −9.61342e10 + 1.20549e11i −0.109417 + 0.137204i
\(452\) 6.12665e10 7.68257e10i 0.0690399 0.0865732i
\(453\) 3.67132e11 3.40649e11i 0.409620 0.380071i
\(454\) −1.49239e12 + 4.60343e11i −1.64866 + 0.508546i
\(455\) −7.10944e8 1.81146e9i −0.000777650 0.00198142i
\(456\) −6.58618e11 + 4.49038e11i −0.713332 + 0.486342i
\(457\) 1.13102e12 + 5.44669e11i 1.21296 + 0.584130i 0.927343 0.374214i \(-0.122087\pi\)
0.285617 + 0.958344i \(0.407802\pi\)
\(458\) 1.22034e12 + 1.13231e12i 1.29594 + 1.20246i
\(459\) 1.32283e12 1.99384e11i 1.39106 0.209668i
\(460\) 2.26016e10 3.01597e11i 0.0235358 0.314063i
\(461\) −5.03362e11 + 1.28255e12i −0.519071 + 1.32257i 0.395619 + 0.918415i \(0.370530\pi\)
−0.914690 + 0.404156i \(0.867565\pi\)
\(462\) 4.92631e9 + 2.15836e10i 0.00503075 + 0.0220412i
\(463\) 7.08640e10 + 9.45614e11i 0.0716656 + 0.956311i 0.910923 + 0.412577i \(0.135371\pi\)
−0.839257 + 0.543735i \(0.817010\pi\)
\(464\) −2.02196e12 6.23693e11i −2.02508 0.624655i
\(465\) −3.03930e12 + 1.46365e12i −3.01464 + 1.45177i
\(466\) 8.55392e11 1.48158e12i 0.840289 1.45542i
\(467\) 1.75562e11 + 3.04082e11i 0.170806 + 0.295845i 0.938702 0.344730i \(-0.112029\pi\)
−0.767896 + 0.640575i \(0.778696\pi\)
\(468\) −5.15270e10 3.51305e10i −0.0496511 0.0338515i
\(469\) −4.26640e9 + 1.86923e10i −0.00407178 + 0.0178396i
\(470\) 2.14097e12 + 3.22699e11i 2.02381 + 0.305040i
\(471\) 1.01930e11 + 1.27816e11i 0.0954351 + 0.119672i
\(472\) 1.00946e12 0.936160
\(473\) 1.57228e10 + 5.15824e11i 0.0144429 + 0.473835i
\(474\) 3.28219e12 2.98649
\(475\) −1.65879e11 2.08005e11i −0.149510 0.187479i
\(476\) −4.02869e9 6.07227e8i −0.00359693 0.000542150i
\(477\) −7.56262e11 + 3.31340e12i −0.668866 + 2.93050i
\(478\) −6.86794e11 4.68248e11i −0.601729 0.410252i
\(479\) −4.06801e11 7.04600e11i −0.353079 0.611551i 0.633708 0.773572i \(-0.281532\pi\)
−0.986787 + 0.162021i \(0.948199\pi\)
\(480\) 7.63329e11 1.32213e12i 0.656336 1.13681i
\(481\) 6.88104e10 3.31373e10i 0.0586140 0.0282270i
\(482\) −9.89165e11 3.05117e11i −0.834751 0.257487i
\(483\) 3.21079e9 + 4.28450e10i 0.00268442 + 0.0358211i
\(484\) 6.41715e10 + 2.81154e11i 0.0531543 + 0.232884i
\(485\) −8.34487e10 + 2.12624e11i −0.0684828 + 0.174491i
\(486\) −2.11142e11 + 2.81749e12i −0.171677 + 2.29087i
\(487\) −3.55174e10 + 5.35338e9i −0.0286128 + 0.00431269i −0.163333 0.986571i \(-0.552225\pi\)
0.134720 + 0.990884i \(0.456986\pi\)
\(488\) −1.32971e12 1.23379e12i −1.06137 0.984807i
\(489\) −1.63068e12 7.85292e11i −1.28967 0.621071i
\(490\) −1.43010e12 + 9.75028e11i −1.12069 + 0.764073i
\(491\) −3.83817e11 9.77950e11i −0.298028 0.759363i −0.998936 0.0461119i \(-0.985317\pi\)
0.700908 0.713252i \(-0.252778\pi\)
\(492\) 2.62857e11 8.10806e10i 0.202244 0.0623841i
\(493\) 8.82387e11 8.18735e11i 0.672741 0.624212i
\(494\) −4.43049e10 + 5.55566e10i −0.0334719 + 0.0419725i
\(495\) 1.14444e12 1.43509e12i 0.856784 1.07437i
\(496\) −1.82181e12 + 1.69040e12i −1.35156 + 1.25407i
\(497\) 9.52745e9 2.93883e9i 0.00700443 0.00216058i
\(498\) −1.23178e12 3.13852e12i −0.897429 2.28661i
\(499\) 1.26986e12 8.65777e11i 0.916862 0.625106i −0.0102268 0.999948i \(-0.503255\pi\)
0.927089 + 0.374842i \(0.122303\pi\)
\(500\) −2.72588e11 1.31271e11i −0.195048 0.0939302i
\(501\) 1.46906e12 + 1.36309e12i 1.04177 + 0.966617i
\(502\) −7.31900e11 + 1.10316e11i −0.514381 + 0.0775304i
\(503\) 6.19002e10 8.26000e11i 0.0431158 0.575340i −0.933252 0.359223i \(-0.883042\pi\)
0.976368 0.216117i \(-0.0693392\pi\)
\(504\) −2.29915e10 + 5.85814e10i −0.0158719 + 0.0404410i
\(505\) 4.61660e11 + 2.02266e12i 0.315872 + 1.38392i
\(506\) −5.14716e10 6.86841e11i −0.0349052 0.465778i
\(507\) −2.62118e12 8.08526e11i −1.76182 0.543448i
\(508\) 5.55882e11 2.67699e11i 0.370336 0.178344i
\(509\) −5.19092e10 + 8.99094e10i −0.0342779 + 0.0593711i −0.882655 0.470021i \(-0.844246\pi\)
0.848378 + 0.529392i \(0.177580\pi\)
\(510\) 1.01057e12 + 1.75036e12i 0.661458 + 1.14568i
\(511\) −2.10349e10 1.43414e10i −0.0136473 0.00930458i
\(512\) −8.19003e10 + 3.58829e11i −0.0526709 + 0.230766i
\(513\) 2.44214e12 + 3.68093e11i 1.55683 + 0.234655i
\(514\) −2.87792e11 3.60880e11i −0.181863 0.228049i
\(515\) −1.09512e12 −0.686010
\(516\) 4.95223e11 7.76153e11i 0.307522 0.481974i
\(517\) 1.16141e12 0.714952
\(518\) 2.13989e10 + 2.68334e10i 0.0130590 + 0.0163754i
\(519\) 2.50576e12 + 3.77682e11i 1.51595 + 0.228493i
\(520\) −2.78094e10 + 1.21841e11i −0.0166792 + 0.0730765i
\(521\) −3.56943e10 2.43359e10i −0.0212241 0.0144703i 0.552662 0.833406i \(-0.313612\pi\)
−0.573886 + 0.818935i \(0.694565\pi\)
\(522\) 4.14001e12 + 7.17071e12i 2.44053 + 4.22712i
\(523\) 5.70232e11 9.87671e11i 0.333268 0.577238i −0.649882 0.760035i \(-0.725182\pi\)
0.983151 + 0.182797i \(0.0585152\pi\)
\(524\) −2.31313e11 + 1.11394e11i −0.134032 + 0.0645464i
\(525\) −2.82863e10 8.72516e9i −0.0162502 0.00501252i
\(526\) 2.58177e10 + 3.44513e11i 0.0147056 + 0.196232i
\(527\) −3.14597e11 1.37834e12i −0.177667 0.778411i
\(528\) 6.96271e11 1.77407e12i 0.389875 0.993386i
\(529\) −3.47076e10 + 4.63141e11i −0.0192697 + 0.257136i
\(530\) −2.99912e12 + 4.52044e11i −1.65102 + 0.248851i
\(531\) −3.88142e12 3.60143e12i −2.11868 1.96585i
\(532\) −6.77671e9 3.26349e9i −0.00366789 0.00176636i
\(533\) −4.54963e10 + 3.10189e10i −0.0244177 + 0.0166477i
\(534\) −1.76775e12 4.50415e12i −0.940773 2.39705i
\(535\) −9.06213e11 + 2.79530e11i −0.478232 + 0.147515i
\(536\) 9.02628e11 8.37517e11i 0.472354 0.438280i
\(537\) −4.34923e12 + 5.45377e12i −2.25698 + 2.83017i
\(538\) 1.89477e12 2.37597e12i 0.975072 1.22270i
\(539\) −6.80602e11 + 6.31506e11i −0.347331 + 0.322276i
\(540\) −1.84837e12 + 5.70146e11i −0.935442 + 0.288546i
\(541\) −1.40345e12 3.57594e12i −0.704384 1.79474i −0.599681 0.800239i \(-0.704706\pi\)
−0.104703 0.994504i \(-0.533389\pi\)
\(542\) −1.29489e12 + 8.82842e11i −0.644520 + 0.439426i
\(543\) −5.61420e12 2.70366e12i −2.77133 1.33460i
\(544\) 4.69026e11 + 4.35192e11i 0.229616 + 0.213052i
\(545\) −9.37282e11 + 1.41272e11i −0.455078 + 0.0685920i
\(546\) −5.90838e8 + 7.88419e9i −0.000284513 + 0.00379656i
\(547\) 9.46032e11 2.41045e12i 0.451817 1.15121i −0.505668 0.862728i \(-0.668754\pi\)
0.957485 0.288483i \(-0.0931509\pi\)
\(548\) 1.80644e11 + 7.91451e11i 0.0855677 + 0.374897i
\(549\) 7.11024e11 + 9.48795e12i 0.334048 + 4.45756i
\(550\) 4.53452e11 + 1.39871e11i 0.211300 + 0.0651774i
\(551\) 2.00217e12 9.64196e11i 0.925378 0.445639i
\(552\) 1.37965e12 2.38963e12i 0.632476 1.09548i
\(553\) −3.47724e10 6.02275e10i −0.0158114 0.0273862i
\(554\) 1.23969e12 + 8.45204e11i 0.559136 + 0.381213i
\(555\) 8.92396e11 3.90984e12i 0.399245 1.74921i
\(556\) −8.74383e11 1.31792e11i −0.388030 0.0584861i
\(557\) 1.43039e12 + 1.79365e12i 0.629661 + 0.789570i 0.989668 0.143380i \(-0.0457971\pi\)
−0.360007 + 0.932950i \(0.617226\pi\)
\(558\) 9.72503e12 4.24656
\(559\) −4.89326e10 + 1.77685e11i −0.0211956 + 0.0769660i
\(560\) −7.52809e10 −0.0323473
\(561\) 6.75964e11 + 8.47633e11i 0.288132 + 0.361306i
\(562\) 1.54666e12 + 2.33121e11i 0.654005 + 0.0985754i
\(563\) −1.56423e11 + 6.85336e11i −0.0656167 + 0.287485i −0.997081 0.0763463i \(-0.975675\pi\)
0.931465 + 0.363832i \(0.118532\pi\)
\(564\) −1.71197e12 1.16720e12i −0.712428 0.485725i
\(565\) 5.16442e11 + 8.94503e11i 0.213208 + 0.369287i
\(566\) −1.92817e12 + 3.33968e12i −0.789716 + 1.36783i
\(567\) 1.25843e11 6.06027e10i 0.0511334 0.0246245i
\(568\) −6.11871e11 1.88737e11i −0.246656 0.0760834i
\(569\) −9.78996e10 1.30638e12i −0.0391539 0.522473i −0.981955 0.189116i \(-0.939438\pi\)
0.942801 0.333357i \(-0.108181\pi\)
\(570\) 8.30302e11 + 3.63779e12i 0.329457 + 1.44345i
\(571\) 5.63645e10 1.43614e11i 0.0221893 0.0565374i −0.919350 0.393441i \(-0.871284\pi\)
0.941539 + 0.336904i \(0.109380\pi\)
\(572\) 2.23096e9 2.97701e10i 0.000871384 0.0116278i
\(573\) −2.10233e12 + 3.16876e11i −0.814716 + 0.122799i
\(574\) −1.81395e10 1.68310e10i −0.00697463 0.00647151i
\(575\) 8.29742e11 + 3.99583e11i 0.316547 + 0.152441i
\(576\) 2.83306e12 1.93155e12i 1.07240 0.731147i
\(577\) −1.42781e12 3.63799e12i −0.536263 1.36638i −0.900413 0.435036i \(-0.856736\pi\)
0.364150 0.931340i \(-0.381359\pi\)
\(578\) 2.12323e12 6.54929e11i 0.791264 0.244073i
\(579\) 5.05115e12 4.68678e12i 1.86783 1.73309i
\(580\) −1.08517e12 + 1.36076e12i −0.398173 + 0.499293i
\(581\) −4.45414e10 + 5.58532e10i −0.0162170 + 0.0203355i
\(582\) 6.80287e11 6.31214e11i 0.245776 0.228046i
\(583\) −1.55465e12 + 4.79545e11i −0.557344 + 0.171918i
\(584\) 5.97334e11 + 1.52198e12i 0.212500 + 0.541442i
\(585\) 5.41618e11 3.69269e11i 0.191202 0.130359i
\(586\) −3.69714e12 1.78045e12i −1.29517 0.623720i
\(587\) 2.21469e12 + 2.05494e12i 0.769914 + 0.714376i 0.963794 0.266650i \(-0.0859166\pi\)
−0.193880 + 0.981025i \(0.562107\pi\)
\(588\) 1.63790e12 2.46874e11i 0.565053 0.0851681i
\(589\) 1.95050e11 2.60277e12i 0.0667772 0.891080i
\(590\) 1.72633e12 4.39863e12i 0.586530 1.49446i
\(591\) 2.18181e11 + 9.55912e11i 0.0735652 + 0.322310i
\(592\) −2.20794e11 2.94629e12i −0.0738822 0.985889i
\(593\) −6.96212e11 2.14753e11i −0.231204 0.0713170i 0.176988 0.984213i \(-0.443365\pi\)
−0.408192 + 0.912896i \(0.633841\pi\)
\(594\) −3.96884e12 + 1.91129e12i −1.30805 + 0.629925i
\(595\) 2.14126e10 3.70877e10i 0.00700395 0.0121312i
\(596\) −1.54404e11 2.67435e11i −0.0501244 0.0868181i
\(597\) −7.58149e12 5.16897e12i −2.44270 1.66540i
\(598\) 5.47350e10 2.39810e11i 0.0175029 0.0766852i
\(599\) 1.72135e12 + 2.59452e11i 0.546321 + 0.0823447i 0.416403 0.909180i \(-0.363290\pi\)
0.129918 + 0.991525i \(0.458529\pi\)
\(600\) 1.18529e12 + 1.48631e12i 0.373374 + 0.468196i
\(601\) −2.66261e11 −0.0832477 −0.0416238 0.999133i \(-0.513253\pi\)
−0.0416238 + 0.999133i \(0.513253\pi\)
\(602\) −8.27404e10 3.67016e9i −0.0256764 0.00113894i
\(603\) −6.45865e12 −1.98936
\(604\) −1.89226e11 2.37282e11i −0.0578515 0.0725435i
\(605\) −2.99745e12 4.51792e11i −0.909603 0.137101i
\(606\) 1.87568e12 8.21788e12i 0.564978 2.47533i
\(607\) 8.67661e11 + 5.91561e11i 0.259418 + 0.176868i 0.686044 0.727560i \(-0.259346\pi\)
−0.426626 + 0.904428i \(0.640298\pi\)
\(608\) 5.90608e11 + 1.02296e12i 0.175280 + 0.303594i
\(609\) 1.23627e11 2.14128e11i 0.0364195 0.0630805i
\(610\) −7.65012e12 + 3.68410e12i −2.23709 + 1.07733i
\(611\) 3.96342e11 + 1.22255e11i 0.115050 + 0.0354881i
\(612\) −1.02562e11 1.36860e12i −0.0295533 0.394362i
\(613\) −1.35436e12 5.93386e12i −0.387403 1.69733i −0.673552 0.739140i \(-0.735232\pi\)
0.286148 0.958185i \(-0.407625\pi\)
\(614\) 5.64274e11 1.43775e12i 0.160226 0.408249i
\(615\) −2.16077e11 + 2.88335e12i −0.0609075 + 0.812754i
\(616\) −2.97891e10 + 4.48999e9i −0.00833574 + 0.00125641i
\(617\) 4.43569e12 + 4.11572e12i 1.23219 + 1.14331i 0.984671 + 0.174424i \(0.0558065\pi\)
0.247521 + 0.968882i \(0.420384\pi\)
\(618\) 4.00875e12 + 1.93051e12i 1.10551 + 0.532384i
\(619\) 3.24231e12 2.21057e12i 0.887660 0.605197i −0.0313159 0.999510i \(-0.509970\pi\)
0.918976 + 0.394313i \(0.129017\pi\)
\(620\) 7.46838e11 + 1.90291e12i 0.202985 + 0.517197i
\(621\) −8.16928e12 + 2.51989e12i −2.20430 + 0.679938i
\(622\) −4.78312e12 + 4.43808e12i −1.28131 + 1.18888i
\(623\) −6.39224e10 + 8.01561e10i −0.0170003 + 0.0213177i
\(624\) 4.24357e11 5.32127e11i 0.112047 0.140503i
\(625\) 3.47171e12 3.22128e12i 0.910088 0.844438i
\(626\) −5.27730e11 + 1.62783e11i −0.137349 + 0.0423667i
\(627\) 7.31241e11 + 1.86317e12i 0.188954 + 0.481447i
\(628\) 8.18545e10 5.58074e10i 0.0210002 0.0143177i
\(629\) 1.51432e12 + 7.29256e11i 0.385734 + 0.185760i
\(630\) 2.15944e11 + 2.00367e11i 0.0546146 + 0.0506749i
\(631\) 4.95141e12 7.46305e11i 1.24336 0.187406i 0.505778 0.862664i \(-0.331206\pi\)
0.737582 + 0.675258i \(0.235968\pi\)
\(632\) −3.33767e11 + 4.45381e12i −0.0832178 + 1.11046i
\(633\) −2.82982e12 + 7.21025e12i −0.700554 + 1.78498i
\(634\) −1.30773e12 5.72952e12i −0.321451 1.40837i
\(635\) 4.84648e11 + 6.46717e12i 0.118289 + 1.57846i
\(636\) 2.77357e12 + 8.55532e11i 0.672174 + 0.207338i
\(637\) −2.98738e11 + 1.43865e11i −0.0718891 + 0.0346199i
\(638\) −1.98184e12 + 3.43264e12i −0.473560 + 0.820230i
\(639\) 1.67932e12 + 2.90867e12i 0.398455 + 0.690144i
\(640\) 5.00912e12 + 3.41516e12i 1.18019 + 0.804640i
\(641\) 2.74580e11 1.20302e12i 0.0642404 0.281456i −0.932597 0.360918i \(-0.882463\pi\)
0.996838 + 0.0794627i \(0.0253204\pi\)
\(642\) 3.81000e12 + 5.74265e11i 0.885151 + 0.133415i
\(643\) −5.69303e11 7.13883e11i −0.131339 0.164694i 0.711813 0.702369i \(-0.247874\pi\)
−0.843152 + 0.537675i \(0.819303\pi\)
\(644\) 2.60364e10 0.00596478
\(645\) 5.69267e12 + 7.82621e12i 1.29508 + 1.78046i
\(646\) −1.56381e12 −0.353296
\(647\) 9.86268e11 + 1.23674e12i 0.221272 + 0.277466i 0.880060 0.474862i \(-0.157502\pi\)
−0.658788 + 0.752328i \(0.728931\pi\)
\(648\) −8.87000e12 1.33694e12i −1.97622 0.297868i
\(649\) 5.64019e11 2.47113e12i 0.124794 0.546757i
\(650\) 1.40022e11 + 9.54652e10i 0.0307670 + 0.0209766i
\(651\) −1.45202e11 2.51497e11i −0.0316853 0.0548805i
\(652\) −5.48393e11 + 9.49845e11i −0.118844 + 0.205844i
\(653\) 1.84317e12 8.87623e11i 0.396694 0.191038i −0.224892 0.974384i \(-0.572203\pi\)
0.621586 + 0.783346i \(0.286489\pi\)
\(654\) 3.68000e12 + 1.13513e12i 0.786590 + 0.242631i
\(655\) −2.01671e11 2.69111e12i −0.0428112 0.571275i
\(656\) 4.74012e11 + 2.07678e12i 0.0999360 + 0.437848i
\(657\) 3.13317e12 7.98320e12i 0.656055 1.67160i
\(658\) −1.39290e10 + 1.85870e11i −0.00289671 + 0.0386539i
\(659\) −7.33161e12 + 1.10506e12i −1.51431 + 0.228246i −0.853018 0.521882i \(-0.825230\pi\)
−0.661293 + 0.750127i \(0.729992\pi\)
\(660\) −1.14914e12 1.06625e12i −0.235736 0.218731i
\(661\) −2.57486e12 1.23999e12i −0.524623 0.252645i 0.152776 0.988261i \(-0.451179\pi\)
−0.677399 + 0.735616i \(0.736893\pi\)
\(662\) −2.56524e12 + 1.74895e12i −0.519119 + 0.353929i
\(663\) 1.41454e11 + 3.60419e11i 0.0284318 + 0.0724430i
\(664\) 4.38412e12 1.35232e12i 0.875237 0.269975i
\(665\) 5.79564e10 5.37757e10i 0.0114922 0.0106632i
\(666\) −7.20847e12 + 9.03913e12i −1.41974 + 1.78030i
\(667\) −4.79615e12 + 6.01418e12i −0.938267 + 1.17655i
\(668\) 8.90233e11 8.26015e11i 0.172985 0.160507i
\(669\) 1.60882e13 4.96254e12i 3.10520 0.957827i
\(670\) −2.10576e12 5.36540e12i −0.403713 1.02865i
\(671\) −3.76323e12 + 2.56573e12i −0.716654 + 0.488606i
\(672\) 1.18410e11 + 5.70234e10i 0.0223989 + 0.0107868i
\(673\) 2.67079e12 + 2.47813e12i 0.501848 + 0.465646i 0.890008 0.455945i \(-0.150699\pi\)
−0.388160 + 0.921592i \(0.626889\pi\)
\(674\) 5.99612e12 9.03770e11i 1.11918 0.168690i
\(675\) 4.40160e11 5.87353e12i 0.0816100 1.08901i
\(676\) −6.07289e11 + 1.54735e12i −0.111850 + 0.284989i
\(677\) −5.03538e11 2.20614e12i −0.0921262 0.403631i 0.907748 0.419517i \(-0.137800\pi\)
−0.999874 + 0.0158854i \(0.994943\pi\)
\(678\) −3.13605e11 4.18477e12i −0.0569967 0.760567i
\(679\) −1.87898e10 5.79589e9i −0.00339241 0.00104642i
\(680\) −2.47795e12 + 1.19332e12i −0.444429 + 0.214026i
\(681\) −7.85509e12 + 1.36054e13i −1.39955 + 2.42410i
\(682\) 2.32770e12 + 4.03170e12i 0.412001 + 0.713606i
\(683\) 2.19070e12 + 1.49359e12i 0.385203 + 0.262627i 0.740403 0.672163i \(-0.234635\pi\)
−0.355200 + 0.934790i \(0.615587\pi\)
\(684\) 5.63807e11 2.47020e12i 0.0984868 0.431499i
\(685\) −8.43784e12 1.27180e12i −1.46428 0.220705i
\(686\) −1.85853e11 2.33052e11i −0.0320413 0.0401785i
\(687\) 1.67459e13 2.86815
\(688\) 5.70710e12 + 4.27342e12i 0.971107 + 0.727157i
\(689\) −5.81018e11 −0.0982208
\(690\) −8.05316e12 1.00983e13i −1.35253 1.69601i
\(691\) −3.28453e12 4.95063e11i −0.548052 0.0826055i −0.130821 0.991406i \(-0.541761\pi\)
−0.417231 + 0.908800i \(0.636999\pi\)
\(692\) 3.41706e11 1.49711e12i 0.0566467 0.248185i
\(693\) 1.30559e11 + 8.90139e10i 0.0215035 + 0.0146608i
\(694\) −2.22047e12 3.84597e12i −0.363352 0.629345i
\(695\) 4.64737e12 8.04949e12i 0.755572 1.30869i
\(696\) −1.43066e13 + 6.88967e12i −2.31097 + 1.11290i
\(697\) −1.15797e12 3.57186e11i −0.185844 0.0573254i
\(698\) 3.78096e10 + 5.04534e11i 0.00602910 + 0.0804528i
\(699\) −3.82937e12 1.67776e13i −0.606709 2.65816i
\(700\) −6.55352e9 + 1.66981e10i −0.00103165 + 0.00262861i
\(701\) −8.34691e11 + 1.11382e13i −0.130555 + 1.74214i 0.420163 + 0.907449i \(0.361973\pi\)
−0.550718 + 0.834691i \(0.685646\pi\)
\(702\) −1.55560e12 + 2.34469e11i −0.241758 + 0.0364392i
\(703\) 2.27462e12 + 2.11054e12i 0.351245 + 0.325907i
\(704\) 1.47886e12 + 7.12181e11i 0.226908 + 0.109273i
\(705\) 1.79951e13 1.22689e13i 2.74349 1.87048i
\(706\) −9.41568e11 2.39908e12i −0.142636 0.363432i
\(707\) −1.70668e11 + 5.26441e10i −0.0256901 + 0.00792433i
\(708\) −3.31485e12 + 3.07574e12i −0.495809 + 0.460044i
\(709\) −6.60571e11 + 8.28330e11i −0.0981774 + 0.123111i −0.828493 0.559999i \(-0.810801\pi\)
0.730316 + 0.683110i \(0.239373\pi\)
\(710\) −1.86880e12 + 2.34340e12i −0.275994 + 0.346086i
\(711\) 1.71731e13 1.59343e13i 2.52021 2.33841i
\(712\) 6.29174e12 1.94074e12i 0.917509 0.283014i
\(713\) 3.30082e12 + 8.41035e12i 0.478320 + 1.21874i
\(714\) −1.43761e11 + 9.80146e10i −0.0207014 + 0.0141140i
\(715\) 2.82725e11 + 1.36153e11i 0.0404563 + 0.0194827i
\(716\) 3.09872e12 + 2.87519e12i 0.440629 + 0.408844i
\(717\) −8.26807e12 + 1.24621e12i −1.16834 + 0.176098i
\(718\) −4.80981e11 + 6.41824e12i −0.0675410 + 0.901272i
\(719\) −4.69546e12 + 1.19638e13i −0.655237 + 1.66952i 0.0843349 + 0.996437i \(0.473123\pi\)
−0.739571 + 0.673078i \(0.764972\pi\)
\(720\) −5.64295e12 2.47234e13i −0.782546 3.42856i
\(721\) −7.04525e9 9.40123e10i −0.000970929 0.0129561i
\(722\) 5.22125e12 + 1.61054e12i 0.715084 + 0.220574i
\(723\) −9.38158e12 + 4.51793e12i −1.27689 + 0.614918i
\(724\) −1.88805e12 + 3.27019e12i −0.255381 + 0.442333i
\(725\) −2.64990e12 4.58975e12i −0.356211 0.616976i
\(726\) 1.01759e13 + 6.93778e12i 1.35943 + 0.926843i
\(727\) 1.16019e12 5.08312e12i 0.154037 0.674879i −0.837651 0.546207i \(-0.816071\pi\)
0.991687 0.128672i \(-0.0410715\pi\)
\(728\) −1.06385e10 1.60349e9i −0.00140375 0.000211581i
\(729\) 5.71252e12 + 7.16327e12i 0.749124 + 0.939372i
\(730\) 7.65343e12 0.997478
\(731\) −3.72864e12 + 1.59613e12i −0.482972 + 0.206747i
\(732\) 8.12572e12 1.04607
\(733\) −5.86610e11 7.35585e11i −0.0750553 0.0941163i 0.742886 0.669418i \(-0.233456\pi\)
−0.817942 + 0.575301i \(0.804885\pi\)
\(734\) −3.95557e12 5.96206e11i −0.503010 0.0758165i
\(735\) −3.87431e12 + 1.69744e13i −0.489667 + 2.14537i
\(736\) −3.37836e12 2.30333e12i −0.424381 0.289338i
\(737\) −1.54589e12 2.67756e12i −0.193008 0.334299i
\(738\) 4.16783e12 7.21890e12i 0.517198 0.895813i
\(739\) −3.01759e12 + 1.45319e12i −0.372186 + 0.179235i −0.610621 0.791923i \(-0.709080\pi\)
0.238435 + 0.971159i \(0.423366\pi\)
\(740\) −2.32228e12 7.16328e11i −0.284690 0.0878151i
\(741\) 5.34170e10 + 7.12800e11i 0.00650875 + 0.0868532i
\(742\) −5.81005e10 2.54555e11i −0.00703659 0.0308293i
\(743\) −2.34662e11 + 5.97909e11i −0.0282483 + 0.0719756i −0.944302 0.329080i \(-0.893261\pi\)
0.916054 + 0.401056i \(0.131357\pi\)
\(744\) −1.39374e12 + 1.85981e13i −0.166764 + 2.22531i
\(745\) 3.20972e12 4.83788e11i 0.381737 0.0575376i
\(746\) −7.15261e12 6.63665e12i −0.845551 0.784557i
\(747\) −2.16818e13 1.04414e13i −2.54772 1.22692i
\(748\) 5.42830e11 3.70095e11i 0.0634026 0.0432271i
\(749\) −2.98265e10 7.59967e10i −0.00346286 0.00882321i
\(750\) −1.23468e13 + 3.80849e12i −1.42488 + 0.439518i
\(751\) −8.60583e12 + 7.98504e12i