Properties

Label 43.11.d.a.7.10
Level 43
Weight 11
Character 43.7
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 11 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(27.3203618650\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.10
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.27

$q$-expansion

\(f(q)\) \(=\) \(q-35.7982i q^{2} +(113.973 - 65.8024i) q^{3} -257.513 q^{4} +(-2374.16 + 1370.72i) q^{5} +(-2355.61 - 4080.03i) q^{6} +(-18980.1 - 10958.2i) q^{7} -27438.9i q^{8} +(-20864.6 + 36138.5i) q^{9} +O(q^{10})\) \(q-35.7982i q^{2} +(113.973 - 65.8024i) q^{3} -257.513 q^{4} +(-2374.16 + 1370.72i) q^{5} +(-2355.61 - 4080.03i) q^{6} +(-18980.1 - 10958.2i) q^{7} -27438.9i q^{8} +(-20864.6 + 36138.5i) q^{9} +(49069.5 + 84990.8i) q^{10} +133645. q^{11} +(-29349.5 + 16944.9i) q^{12} +(149767. - 259404. i) q^{13} +(-392283. + 679455. i) q^{14} +(-180394. + 312451. i) q^{15} -1.24596e6 q^{16} +(-1.16735e6 + 2.02190e6i) q^{17} +(1.29370e6 + 746915. i) q^{18} +(-242035. + 139739. i) q^{19} +(611377. - 352979. i) q^{20} -2.88430e6 q^{21} -4.78426e6i q^{22} +(5.37401e6 + 9.30806e6i) q^{23} +(-1.80554e6 - 3.12729e6i) q^{24} +(-1.12505e6 + 1.94864e6i) q^{25} +(-9.28620e6 - 5.36139e6i) q^{26} +1.32629e7i q^{27} +(4.88763e6 + 2.82187e6i) q^{28} +(-6.12050e6 - 3.53367e6i) q^{29} +(1.11852e7 + 6.45777e6i) q^{30} +(-2.33045e6 - 4.03647e6i) q^{31} +1.65056e7i q^{32} +(1.52320e7 - 8.79417e6i) q^{33} +(7.23805e7 + 4.17889e7i) q^{34} +6.00825e7 q^{35} +(5.37290e6 - 9.30613e6i) q^{36} +(-7.61741e7 + 4.39792e7i) q^{37} +(5.00241e6 + 8.66443e6i) q^{38} -3.94201e7i q^{39} +(3.76111e7 + 6.51444e7i) q^{40} +2.11016e8 q^{41} +1.03253e8i q^{42} +(1.11445e8 + 9.58721e7i) q^{43} -3.44153e7 q^{44} -1.14398e8i q^{45} +(3.33212e8 - 1.92380e8i) q^{46} -3.99136e8 q^{47} +(-1.42005e8 + 8.19869e7i) q^{48} +(9.89260e7 + 1.71345e8i) q^{49} +(6.97579e7 + 4.02747e7i) q^{50} +3.07257e8i q^{51} +(-3.85669e7 + 6.67998e7i) q^{52} +(-1.42990e8 - 2.47667e8i) q^{53} +4.74788e8 q^{54} +(-3.17295e8 + 1.83191e8i) q^{55} +(-3.00680e8 + 5.20794e8i) q^{56} +(-1.83903e7 + 3.18530e7i) q^{57} +(-1.26499e8 + 2.19103e8i) q^{58} +9.45369e7 q^{59} +(4.64537e7 - 8.04601e7i) q^{60} +(-9.47556e8 - 5.47072e8i) q^{61} +(-1.44498e8 + 8.34261e7i) q^{62} +(7.92026e8 - 4.57276e8i) q^{63} -6.84988e8 q^{64} +8.21156e8i q^{65} +(-3.14816e8 - 5.45277e8i) q^{66} +(-4.57610e8 - 7.92603e8i) q^{67} +(3.00606e8 - 5.20666e8i) q^{68} +(1.22498e9 + 7.07245e8i) q^{69} -2.15085e9i q^{70} +(-2.37084e9 - 1.36881e9i) q^{71} +(9.91601e8 + 5.72501e8i) q^{72} +(3.10302e8 + 1.79153e8i) q^{73} +(1.57438e9 + 2.72690e9i) q^{74} +2.96123e8i q^{75} +(6.23272e7 - 3.59846e7i) q^{76} +(-2.53660e9 - 1.46451e9i) q^{77} -1.41117e9 q^{78} +(-9.03322e8 + 1.56460e9i) q^{79} +(2.95810e9 - 1.70786e9i) q^{80} +(-3.59304e8 - 6.22333e8i) q^{81} -7.55400e9i q^{82} +(8.42828e8 + 1.45982e9i) q^{83} +7.42743e8 q^{84} -6.40043e9i q^{85} +(3.43205e9 - 3.98954e9i) q^{86} -9.30096e8 q^{87} -3.66708e9i q^{88} +(-1.33274e8 + 7.69461e7i) q^{89} -4.09526e9 q^{90} +(-5.68519e9 + 3.28235e9i) q^{91} +(-1.38388e9 - 2.39694e9i) q^{92} +(-5.31218e8 - 3.06699e8i) q^{93} +1.42884e10i q^{94} +(3.83087e8 - 6.63527e8i) q^{95} +(1.08611e9 + 1.88119e9i) q^{96} +4.39674e9 q^{97} +(6.13384e9 - 3.54137e9i) q^{98} +(-2.78845e9 + 4.82974e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} + O(q^{10}) \) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} - 127061q^{10} + 521524q^{11} - 606618q^{12} + 796742q^{13} - 865794q^{14} - 433513q^{15} + 22423366q^{16} - 1768471q^{17} - 11957547q^{18} - 122844q^{19} + 419841q^{20} - 26778860q^{21} + 16414886q^{23} + 8684578q^{24} + 70516989q^{25} + 3069q^{26} - 97624092q^{28} + 118701393q^{29} - 1455921q^{30} + 10824883q^{31} + 315141798q^{33} + 47529561q^{34} - 333788722q^{35} - 597728908q^{36} - 169881246q^{37} - 88887452q^{38} + 570788831q^{40} - 543049070q^{41} + 408159179q^{43} - 754130886q^{44} + 270181896q^{46} + 348527658q^{47} + 175039227q^{48} + 781091547q^{49} - 663244398q^{50} - 1853993086q^{52} + 219922736q^{53} + 3104867360q^{54} + 2154394182q^{55} + 2010912675q^{56} + 349107351q^{57} + 2023447828q^{58} + 2247595680q^{59} - 2906780465q^{60} + 508093974q^{61} - 3451752063q^{62} + 158921973q^{63} - 13473879716q^{64} + 1277847051q^{66} - 2812410281q^{67} + 13614613118q^{68} - 5113655829q^{69} + 2418191196q^{71} + 26243329290q^{72} - 6537901611q^{73} - 2632816966q^{74} - 10170994206q^{76} - 16936463889q^{77} - 24146069696q^{78} + 5397136602q^{79} + 7242149661q^{80} - 15745886176q^{81} + 4998656042q^{83} + 44726677232q^{84} - 27688564866q^{86} + 37895576172q^{87} - 12151857357q^{89} - 96024912764q^{90} + 36633770214q^{91} - 31643971023q^{92} + 59768940153q^{93} - 19802964089q^{95} - 3289705262q^{96} - 40329658574q^{97} + 19243888221q^{98} + 18506221111q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 35.7982i 1.11869i −0.828933 0.559347i \(-0.811052\pi\)
0.828933 0.559347i \(-0.188948\pi\)
\(3\) 113.973 65.8024i 0.469025 0.270792i −0.246807 0.969065i \(-0.579381\pi\)
0.715831 + 0.698273i \(0.246048\pi\)
\(4\) −257.513 −0.251477
\(5\) −2374.16 + 1370.72i −0.759732 + 0.438631i −0.829199 0.558953i \(-0.811203\pi\)
0.0694676 + 0.997584i \(0.477870\pi\)
\(6\) −2355.61 4080.03i −0.302933 0.524696i
\(7\) −18980.1 10958.2i −1.12930 0.652001i −0.185541 0.982637i \(-0.559404\pi\)
−0.943759 + 0.330635i \(0.892737\pi\)
\(8\) 27438.9i 0.837368i
\(9\) −20864.6 + 36138.5i −0.353344 + 0.612009i
\(10\) 49069.5 + 84990.8i 0.490695 + 0.849908i
\(11\) 133645. 0.829832 0.414916 0.909860i \(-0.363811\pi\)
0.414916 + 0.909860i \(0.363811\pi\)
\(12\) −29349.5 + 16944.9i −0.117949 + 0.0680979i
\(13\) 149767. 259404.i 0.403366 0.698650i −0.590764 0.806844i \(-0.701174\pi\)
0.994130 + 0.108194i \(0.0345069\pi\)
\(14\) −392283. + 679455.i −0.729390 + 1.26334i
\(15\) −180394. + 312451.i −0.237555 + 0.411458i
\(16\) −1.24596e6 −1.18824
\(17\) −1.16735e6 + 2.02190e6i −0.822158 + 1.42402i 0.0819148 + 0.996639i \(0.473896\pi\)
−0.904072 + 0.427379i \(0.859437\pi\)
\(18\) 1.29370e6 + 746915.i 0.684651 + 0.395284i
\(19\) −242035. + 139739.i −0.0977486 + 0.0564352i −0.548077 0.836428i \(-0.684640\pi\)
0.450329 + 0.892863i \(0.351307\pi\)
\(20\) 611377. 352979.i 0.191055 0.110306i
\(21\) −2.88430e6 −0.706226
\(22\) 4.78426e6i 0.928328i
\(23\) 5.37401e6 + 9.30806e6i 0.834948 + 1.44617i 0.894073 + 0.447921i \(0.147835\pi\)
−0.0591254 + 0.998251i \(0.518831\pi\)
\(24\) −1.80554e6 3.12729e6i −0.226752 0.392747i
\(25\) −1.12505e6 + 1.94864e6i −0.115205 + 0.199541i
\(26\) −9.28620e6 5.36139e6i −0.781576 0.451243i
\(27\) 1.32629e7i 0.924313i
\(28\) 4.88763e6 + 2.82187e6i 0.283993 + 0.163963i
\(29\) −6.12050e6 3.53367e6i −0.298399 0.172280i 0.343325 0.939217i \(-0.388447\pi\)
−0.641723 + 0.766936i \(0.721780\pi\)
\(30\) 1.11852e7 + 6.45777e6i 0.460296 + 0.265752i
\(31\) −2.33045e6 4.03647e6i −0.0814015 0.140991i 0.822451 0.568836i \(-0.192606\pi\)
−0.903852 + 0.427845i \(0.859273\pi\)
\(32\) 1.65056e7i 0.491905i
\(33\) 1.52320e7 8.79417e6i 0.389212 0.224711i
\(34\) 7.23805e7 + 4.17889e7i 1.59304 + 0.919743i
\(35\) 6.00825e7 1.14395
\(36\) 5.37290e6 9.30613e6i 0.0888579 0.153906i
\(37\) −7.61741e7 + 4.39792e7i −1.09850 + 0.634218i −0.935826 0.352463i \(-0.885344\pi\)
−0.162671 + 0.986680i \(0.552011\pi\)
\(38\) 5.00241e6 + 8.66443e6i 0.0631337 + 0.109351i
\(39\) 3.94201e7i 0.436912i
\(40\) 3.76111e7 + 6.51444e7i 0.367296 + 0.636175i
\(41\) 2.11016e8 1.82136 0.910681 0.413111i \(-0.135558\pi\)
0.910681 + 0.413111i \(0.135558\pi\)
\(42\) 1.03253e8i 0.790051i
\(43\) 1.11445e8 + 9.58721e7i 0.758087 + 0.652154i
\(44\) −3.44153e7 −0.208684
\(45\) 1.14398e8i 0.619951i
\(46\) 3.33212e8 1.92380e8i 1.61782 0.934051i
\(47\) −3.99136e8 −1.74033 −0.870166 0.492759i \(-0.835988\pi\)
−0.870166 + 0.492759i \(0.835988\pi\)
\(48\) −1.42005e8 + 8.19869e7i −0.557312 + 0.321765i
\(49\) 9.89260e7 + 1.71345e8i 0.350211 + 0.606583i
\(50\) 6.97579e7 + 4.02747e7i 0.223225 + 0.128879i
\(51\) 3.07257e8i 0.890534i
\(52\) −3.85669e7 + 6.67998e7i −0.101437 + 0.175695i
\(53\) −1.42990e8 2.47667e8i −0.341922 0.592227i 0.642867 0.765978i \(-0.277745\pi\)
−0.984790 + 0.173751i \(0.944411\pi\)
\(54\) 4.74788e8 1.03402
\(55\) −3.17295e8 + 1.83191e8i −0.630450 + 0.363990i
\(56\) −3.00680e8 + 5.20794e8i −0.545965 + 0.945639i
\(57\) −1.83903e7 + 3.18530e7i −0.0305644 + 0.0529390i
\(58\) −1.26499e8 + 2.19103e8i −0.192729 + 0.333817i
\(59\) 9.45369e7 0.132233 0.0661167 0.997812i \(-0.478939\pi\)
0.0661167 + 0.997812i \(0.478939\pi\)
\(60\) 4.64537e7 8.04601e7i 0.0597398 0.103472i
\(61\) −9.47556e8 5.47072e8i −1.12190 0.647731i −0.180017 0.983663i \(-0.557615\pi\)
−0.941886 + 0.335932i \(0.890949\pi\)
\(62\) −1.44498e8 + 8.34261e7i −0.157726 + 0.0910634i
\(63\) 7.92026e8 4.57276e8i 0.798062 0.460761i
\(64\) −6.84988e8 −0.637945
\(65\) 8.21156e8i 0.707716i
\(66\) −3.14816e8 5.45277e8i −0.251383 0.435409i
\(67\) −4.57610e8 7.92603e8i −0.338939 0.587059i 0.645295 0.763934i \(-0.276735\pi\)
−0.984233 + 0.176875i \(0.943401\pi\)
\(68\) 3.00606e8 5.20666e8i 0.206754 0.358108i
\(69\) 1.22498e9 + 7.07245e8i 0.783223 + 0.452194i
\(70\) 2.15085e9i 1.27973i
\(71\) −2.37084e9 1.36881e9i −1.31405 0.758665i −0.331283 0.943532i \(-0.607481\pi\)
−0.982764 + 0.184866i \(0.940815\pi\)
\(72\) 9.91601e8 + 5.72501e8i 0.512477 + 0.295879i
\(73\) 3.10302e8 + 1.79153e8i 0.149682 + 0.0864190i 0.572970 0.819576i \(-0.305791\pi\)
−0.423288 + 0.905995i \(0.639124\pi\)
\(74\) 1.57438e9 + 2.72690e9i 0.709496 + 1.22888i
\(75\) 2.96123e8i 0.124786i
\(76\) 6.23272e7 3.59846e7i 0.0245816 0.0141922i
\(77\) −2.53660e9 1.46451e9i −0.937128 0.541051i
\(78\) −1.41117e9 −0.488771
\(79\) −9.03322e8 + 1.56460e9i −0.293567 + 0.508473i −0.974651 0.223733i \(-0.928176\pi\)
0.681084 + 0.732206i \(0.261509\pi\)
\(80\) 2.95810e9 1.70786e9i 0.902741 0.521198i
\(81\) −3.59304e8 6.22333e8i −0.103047 0.178483i
\(82\) 7.55400e9i 2.03755i
\(83\) 8.42828e8 + 1.45982e9i 0.213968 + 0.370603i 0.952953 0.303119i \(-0.0980279\pi\)
−0.738985 + 0.673722i \(0.764695\pi\)
\(84\) 7.42743e8 0.177600
\(85\) 6.40043e9i 1.44250i
\(86\) 3.43205e9 3.98954e9i 0.729561 0.848067i
\(87\) −9.30096e8 −0.186608
\(88\) 3.66708e9i 0.694875i
\(89\) −1.33274e8 + 7.69461e7i −0.0238670 + 0.0137796i −0.511886 0.859053i \(-0.671053\pi\)
0.488019 + 0.872833i \(0.337720\pi\)
\(90\) −4.09526e9 −0.693535
\(91\) −5.68519e9 + 3.28235e9i −0.911041 + 0.525990i
\(92\) −1.38388e9 2.39694e9i −0.209970 0.363679i
\(93\) −5.31218e8 3.06699e8i −0.0763586 0.0440857i
\(94\) 1.42884e10i 1.94690i
\(95\) 3.83087e8 6.63527e8i 0.0495085 0.0857512i
\(96\) 1.08611e9 + 1.88119e9i 0.133204 + 0.230716i
\(97\) 4.39674e9 0.512003 0.256001 0.966676i \(-0.417595\pi\)
0.256001 + 0.966676i \(0.417595\pi\)
\(98\) 6.13384e9 3.54137e9i 0.678581 0.391779i
\(99\) −2.78845e9 + 4.82974e9i −0.293216 + 0.507865i
\(100\) 2.89714e8 5.01800e8i 0.0289714 0.0501800i
\(101\) −3.67544e9 + 6.36604e9i −0.349705 + 0.605707i −0.986197 0.165576i \(-0.947052\pi\)
0.636492 + 0.771284i \(0.280385\pi\)
\(102\) 1.09992e10 0.996235
\(103\) −9.89150e9 + 1.71326e10i −0.853250 + 1.47787i 0.0250099 + 0.999687i \(0.492038\pi\)
−0.878259 + 0.478184i \(0.841295\pi\)
\(104\) −7.11775e9 4.10944e9i −0.585027 0.337766i
\(105\) 6.84779e9 3.95357e9i 0.536542 0.309773i
\(106\) −8.86603e9 + 5.11880e9i −0.662521 + 0.382507i
\(107\) −1.77528e10 −1.26575 −0.632875 0.774254i \(-0.718125\pi\)
−0.632875 + 0.774254i \(0.718125\pi\)
\(108\) 3.41536e9i 0.232444i
\(109\) 1.32263e10 + 2.29086e10i 0.859618 + 1.48890i 0.872294 + 0.488982i \(0.162632\pi\)
−0.0126756 + 0.999920i \(0.504035\pi\)
\(110\) 6.55790e9 + 1.13586e10i 0.407194 + 0.705280i
\(111\) −5.78787e9 + 1.00249e10i −0.343482 + 0.594928i
\(112\) 2.36484e10 + 1.36534e10i 1.34187 + 0.774732i
\(113\) 1.96029e10i 1.06397i −0.846755 0.531983i \(-0.821447\pi\)
0.846755 0.531983i \(-0.178553\pi\)
\(114\) 1.14028e9 + 6.58341e8i 0.0592226 + 0.0341922i
\(115\) −2.55175e10 1.47326e10i −1.26867 0.732469i
\(116\) 1.57611e9 + 9.09965e8i 0.0750404 + 0.0433246i
\(117\) 6.24965e9 + 1.08247e10i 0.285054 + 0.493727i
\(118\) 3.38425e9i 0.147929i
\(119\) 4.43128e10 2.55840e10i 1.85692 1.07210i
\(120\) 8.57331e9 + 4.94980e9i 0.344542 + 0.198921i
\(121\) −8.07638e9 −0.311379
\(122\) −1.95842e10 + 3.39208e10i −0.724614 + 1.25507i
\(123\) 2.40501e10 1.38854e10i 0.854264 0.493209i
\(124\) 6.00122e8 + 1.03944e9i 0.0204706 + 0.0354561i
\(125\) 3.29405e10i 1.07939i
\(126\) −1.63697e10 2.83531e10i −0.515451 0.892787i
\(127\) 2.32021e10 0.702279 0.351139 0.936323i \(-0.385794\pi\)
0.351139 + 0.936323i \(0.385794\pi\)
\(128\) 4.14231e10i 1.20557i
\(129\) 1.90104e10 + 3.59348e9i 0.532159 + 0.100593i
\(130\) 2.93959e10 0.791717
\(131\) 3.62223e10i 0.938901i 0.882959 + 0.469450i \(0.155548\pi\)
−0.882959 + 0.469450i \(0.844452\pi\)
\(132\) −3.92242e9 + 2.26461e9i −0.0978779 + 0.0565098i
\(133\) 6.12515e9 0.147183
\(134\) −2.83738e10 + 1.63816e10i −0.656740 + 0.379169i
\(135\) −1.81797e10 3.14882e10i −0.405433 0.702230i
\(136\) 5.54788e10 + 3.20307e10i 1.19243 + 0.688449i
\(137\) 7.78831e10i 1.61377i −0.590712 0.806883i \(-0.701153\pi\)
0.590712 0.806883i \(-0.298847\pi\)
\(138\) 2.53181e10 4.38523e10i 0.505867 0.876187i
\(139\) −2.71510e10 4.70269e10i −0.523253 0.906300i −0.999634 0.0270613i \(-0.991385\pi\)
0.476381 0.879239i \(-0.341948\pi\)
\(140\) −1.54720e10 −0.287678
\(141\) −4.54908e10 + 2.62641e10i −0.816259 + 0.471267i
\(142\) −4.90008e10 + 8.48719e10i −0.848714 + 1.47002i
\(143\) 2.00156e10 3.46681e10i 0.334726 0.579762i
\(144\) 2.59964e10 4.50270e10i 0.419856 0.727212i
\(145\) 1.93747e10 0.302271
\(146\) 6.41335e9 1.11082e10i 0.0966765 0.167449i
\(147\) 2.25498e10 + 1.30191e10i 0.328515 + 0.189668i
\(148\) 1.96158e10 1.13252e10i 0.276247 0.159491i
\(149\) −1.10690e11 + 6.39067e10i −1.50722 + 0.870193i −0.507253 + 0.861797i \(0.669339\pi\)
−0.999965 + 0.00839544i \(0.997328\pi\)
\(150\) 1.06007e10 0.139598
\(151\) 5.58271e10i 0.711149i 0.934648 + 0.355574i \(0.115715\pi\)
−0.934648 + 0.355574i \(0.884285\pi\)
\(152\) 3.83429e9 + 6.64118e9i 0.0472570 + 0.0818516i
\(153\) −4.87124e10 8.43724e10i −0.581008 1.00634i
\(154\) −5.24268e10 + 9.08059e10i −0.605271 + 1.04836i
\(155\) 1.10658e10 + 6.38882e9i 0.123687 + 0.0714105i
\(156\) 1.01512e10i 0.109873i
\(157\) −1.37127e11 7.91706e10i −1.43756 0.829976i −0.439881 0.898056i \(-0.644979\pi\)
−0.997680 + 0.0680800i \(0.978313\pi\)
\(158\) 5.60099e10 + 3.23373e10i 0.568826 + 0.328412i
\(159\) −3.25941e10 1.88182e10i −0.320740 0.185180i
\(160\) −2.26246e10 3.91870e10i −0.215765 0.373716i
\(161\) 2.35558e11i 2.17755i
\(162\) −2.22784e10 + 1.28624e10i −0.199668 + 0.115279i
\(163\) 7.74151e10 + 4.46956e10i 0.672803 + 0.388443i 0.797138 0.603797i \(-0.206346\pi\)
−0.124335 + 0.992240i \(0.539680\pi\)
\(164\) −5.43393e10 −0.458031
\(165\) −2.41088e10 + 4.17576e10i −0.197131 + 0.341441i
\(166\) 5.22590e10 3.01717e10i 0.414591 0.239364i
\(167\) −7.41740e10 1.28473e11i −0.571044 0.989076i −0.996459 0.0840783i \(-0.973205\pi\)
0.425416 0.904998i \(-0.360128\pi\)
\(168\) 7.91419e10i 0.591371i
\(169\) 2.40690e10 + 4.16888e10i 0.174592 + 0.302403i
\(170\) −2.29124e11 −1.61371
\(171\) 1.16624e10i 0.0797641i
\(172\) −2.86985e10 2.46883e10i −0.190642 0.164002i
\(173\) 9.46007e10 0.610469 0.305235 0.952277i \(-0.401265\pi\)
0.305235 + 0.952277i \(0.401265\pi\)
\(174\) 3.32958e10i 0.208758i
\(175\) 4.27071e10 2.46570e10i 0.260202 0.150228i
\(176\) −1.66516e11 −0.986036
\(177\) 1.07747e10 6.22075e9i 0.0620208 0.0358077i
\(178\) 2.75453e9 + 4.77099e9i 0.0154152 + 0.0266998i
\(179\) 1.81734e11 + 1.04924e11i 0.988940 + 0.570965i 0.904957 0.425502i \(-0.139903\pi\)
0.0839829 + 0.996467i \(0.473236\pi\)
\(180\) 2.94590e10i 0.155904i
\(181\) 1.18546e10 2.05327e10i 0.0610230 0.105695i −0.833900 0.551916i \(-0.813897\pi\)
0.894923 + 0.446221i \(0.147230\pi\)
\(182\) 1.17502e11 + 2.03520e11i 0.588422 + 1.01918i
\(183\) −1.43994e11 −0.701601
\(184\) 2.55403e11 1.47457e11i 1.21098 0.699159i
\(185\) 1.20567e11 2.08827e11i 0.556376 0.963671i
\(186\) −1.09793e10 + 1.90167e10i −0.0493184 + 0.0854220i
\(187\) −1.56010e11 + 2.70218e11i −0.682252 + 1.18170i
\(188\) 1.02783e11 0.437654
\(189\) 1.45337e11 2.51731e11i 0.602653 1.04383i
\(190\) −2.37531e10 1.37138e10i −0.0959294 0.0553849i
\(191\) 2.98741e11 1.72478e11i 1.17524 0.678527i 0.220334 0.975424i \(-0.429285\pi\)
0.954909 + 0.296897i \(0.0959520\pi\)
\(192\) −7.80702e10 + 4.50738e10i −0.299212 + 0.172750i
\(193\) −5.40014e10 −0.201659 −0.100830 0.994904i \(-0.532150\pi\)
−0.100830 + 0.994904i \(0.532150\pi\)
\(194\) 1.57396e11i 0.572775i
\(195\) 5.40340e10 + 9.35896e10i 0.191643 + 0.331936i
\(196\) −2.54747e10 4.41235e10i −0.0880701 0.152542i
\(197\) 2.20449e11 3.81829e11i 0.742980 1.28688i −0.208153 0.978096i \(-0.566745\pi\)
0.951133 0.308782i \(-0.0999215\pi\)
\(198\) 1.72896e11 + 9.98217e10i 0.568145 + 0.328019i
\(199\) 4.21591e11i 1.35091i 0.737401 + 0.675455i \(0.236053\pi\)
−0.737401 + 0.675455i \(0.763947\pi\)
\(200\) 5.34685e10 + 3.08701e10i 0.167089 + 0.0964690i
\(201\) −1.04310e11 6.02236e10i −0.317941 0.183564i
\(202\) 2.27893e11 + 1.31574e11i 0.677601 + 0.391213i
\(203\) 7.74452e10 + 1.34139e11i 0.224654 + 0.389112i
\(204\) 7.91225e10i 0.223949i
\(205\) −5.00986e11 + 2.89245e11i −1.38375 + 0.798906i
\(206\) 6.13316e11 + 3.54098e11i 1.65329 + 0.954526i
\(207\) −4.48506e11 −1.18009
\(208\) −1.86603e11 + 3.23206e11i −0.479294 + 0.830161i
\(209\) −3.23469e10 + 1.86755e10i −0.0811149 + 0.0468317i
\(210\) −1.41531e11 2.45139e11i −0.346541 0.600227i
\(211\) 4.16816e10i 0.0996625i 0.998758 + 0.0498312i \(0.0158684\pi\)
−0.998758 + 0.0498312i \(0.984132\pi\)
\(212\) 3.68219e10 + 6.37773e10i 0.0859857 + 0.148932i
\(213\) −3.60283e11 −0.821761
\(214\) 6.35519e11i 1.41599i
\(215\) −3.96003e11 7.48555e10i −0.861998 0.162941i
\(216\) 3.63919e11 0.773991
\(217\) 1.02150e11i 0.212295i
\(218\) 8.20087e11 4.73478e11i 1.66563 0.961650i
\(219\) 4.71547e10 0.0936062
\(220\) 8.17076e10 4.71739e10i 0.158544 0.0915353i
\(221\) 3.49660e11 + 6.05628e11i 0.663260 + 1.14880i
\(222\) 3.58873e11 + 2.07195e11i 0.665542 + 0.384251i
\(223\) 1.47306e11i 0.267114i −0.991041 0.133557i \(-0.957360\pi\)
0.991041 0.133557i \(-0.0426400\pi\)
\(224\) 1.80871e11 3.13278e11i 0.320723 0.555508i
\(225\) −4.69474e10 8.13152e10i −0.0814139 0.141013i
\(226\) −7.01749e11 −1.19025
\(227\) −9.60379e10 + 5.54475e10i −0.159336 + 0.0919925i −0.577548 0.816357i \(-0.695990\pi\)
0.418212 + 0.908349i \(0.362657\pi\)
\(228\) 4.73574e9 8.20255e9i 0.00768624 0.0133130i
\(229\) −3.24537e11 + 5.62115e11i −0.515332 + 0.892581i 0.484510 + 0.874786i \(0.338998\pi\)
−0.999842 + 0.0177952i \(0.994335\pi\)
\(230\) −5.27399e11 + 9.13483e11i −0.819409 + 1.41926i
\(231\) −3.85473e11 −0.586049
\(232\) −9.69600e10 + 1.67940e11i −0.144262 + 0.249869i
\(233\) 3.70437e10 + 2.13872e10i 0.0539429 + 0.0311440i 0.526729 0.850033i \(-0.323418\pi\)
−0.472786 + 0.881177i \(0.656752\pi\)
\(234\) 3.87505e11 2.23726e11i 0.552330 0.318888i
\(235\) 9.47614e11 5.47105e11i 1.32219 0.763364i
\(236\) −2.43445e10 −0.0332537
\(237\) 2.37763e11i 0.317982i
\(238\) −9.15861e11 1.58632e12i −1.19935 2.07733i
\(239\) −4.25940e11 7.37750e11i −0.546209 0.946062i −0.998530 0.0542066i \(-0.982737\pi\)
0.452321 0.891855i \(-0.350596\pi\)
\(240\) 2.24763e11 3.89300e11i 0.282272 0.488910i
\(241\) 8.42421e10 + 4.86372e10i 0.103620 + 0.0598251i 0.550914 0.834562i \(-0.314279\pi\)
−0.447294 + 0.894387i \(0.647612\pi\)
\(242\) 2.89120e11i 0.348338i
\(243\) −7.60139e11 4.38866e11i −0.897143 0.517965i
\(244\) 2.44008e11 + 1.40878e11i 0.282133 + 0.162890i
\(245\) −4.69733e11 2.71200e11i −0.532133 0.307227i
\(246\) −4.97071e11 8.60952e11i −0.551751 0.955660i
\(247\) 8.37132e10i 0.0910561i
\(248\) −1.10756e11 + 6.39451e10i −0.118062 + 0.0681630i
\(249\) 1.92119e11 + 1.10920e11i 0.200712 + 0.115881i
\(250\) −1.17921e12 −1.20751
\(251\) −5.68602e11 + 9.84848e11i −0.570742 + 0.988554i 0.425748 + 0.904842i \(0.360011\pi\)
−0.996490 + 0.0837124i \(0.973322\pi\)
\(252\) −2.03957e11 + 1.17754e11i −0.200694 + 0.115871i
\(253\) 7.18211e11 + 1.24398e12i 0.692866 + 1.20008i
\(254\) 8.30596e11i 0.785635i
\(255\) −4.21164e11 7.29477e11i −0.390616 0.676567i
\(256\) 7.81445e11 0.710720
\(257\) 5.13774e11i 0.458254i −0.973396 0.229127i \(-0.926413\pi\)
0.973396 0.229127i \(-0.0735872\pi\)
\(258\) 1.28640e11 6.80537e11i 0.112533 0.595324i
\(259\) 1.92773e12 1.65404
\(260\) 2.11458e11i 0.177974i
\(261\) 2.55403e11 1.47457e11i 0.210875 0.121748i
\(262\) 1.29669e12 1.05034
\(263\) −4.47607e9 + 2.58426e9i −0.00355728 + 0.00205380i −0.501778 0.864997i \(-0.667320\pi\)
0.498220 + 0.867050i \(0.333987\pi\)
\(264\) −2.41302e11 4.17948e11i −0.188166 0.325914i
\(265\) 6.78965e11 + 3.92001e11i 0.519539 + 0.299956i
\(266\) 2.19269e11i 0.164653i
\(267\) −1.01265e10 + 1.75396e10i −0.00746280 + 0.0129259i
\(268\) 1.17840e11 + 2.04105e11i 0.0852354 + 0.147632i
\(269\) 1.97225e12 1.40023 0.700117 0.714028i \(-0.253131\pi\)
0.700117 + 0.714028i \(0.253131\pi\)
\(270\) −1.12722e12 + 6.50803e11i −0.785581 + 0.453556i
\(271\) 2.27083e11 3.93318e11i 0.155359 0.269090i −0.777831 0.628474i \(-0.783680\pi\)
0.933190 + 0.359384i \(0.117013\pi\)
\(272\) 1.45446e12 2.51920e12i 0.976918 1.69207i
\(273\) −4.31972e11 + 7.48198e11i −0.284867 + 0.493405i
\(274\) −2.78808e12 −1.80531
\(275\) −1.50357e11 + 2.60427e11i −0.0956007 + 0.165585i
\(276\) −3.15449e11 1.82125e11i −0.196963 0.113716i
\(277\) −1.77953e11 + 1.02741e11i −0.109121 + 0.0630008i −0.553567 0.832805i \(-0.686734\pi\)
0.444446 + 0.895805i \(0.353400\pi\)
\(278\) −1.68348e12 + 9.71957e11i −1.01387 + 0.585360i
\(279\) 1.94496e11 0.115051
\(280\) 1.64860e12i 0.957910i
\(281\) 5.91256e11 + 1.02409e12i 0.337477 + 0.584527i 0.983957 0.178403i \(-0.0570932\pi\)
−0.646481 + 0.762930i \(0.723760\pi\)
\(282\) 9.40209e11 + 1.62849e12i 0.527204 + 0.913144i
\(283\) −3.40489e11 + 5.89745e11i −0.187573 + 0.324887i −0.944441 0.328682i \(-0.893396\pi\)
0.756867 + 0.653569i \(0.226729\pi\)
\(284\) 6.10522e11 + 3.52485e11i 0.330453 + 0.190787i
\(285\) 1.00832e11i 0.0536260i
\(286\) −1.24106e12 7.16524e11i −0.648576 0.374456i
\(287\) −4.00511e12 2.31235e12i −2.05686 1.18753i
\(288\) −5.96488e11 3.44383e11i −0.301051 0.173812i
\(289\) −1.71740e12 2.97462e12i −0.851886 1.47551i
\(290\) 6.93581e11i 0.338148i
\(291\) 5.01110e11 2.89316e11i 0.240142 0.138646i
\(292\) −7.99066e10 4.61341e10i −0.0376416 0.0217324i
\(293\) −7.71939e11 −0.357474 −0.178737 0.983897i \(-0.557201\pi\)
−0.178737 + 0.983897i \(0.557201\pi\)
\(294\) 4.66062e11 8.07242e11i 0.212181 0.367508i
\(295\) −2.24446e11 + 1.29584e11i −0.100462 + 0.0580017i
\(296\) 1.20674e12 + 2.09013e12i 0.531074 + 0.919847i
\(297\) 1.77252e12i 0.767025i
\(298\) 2.28775e12 + 3.96250e12i 0.973480 + 1.68612i
\(299\) 3.21939e12 1.34716
\(300\) 7.62555e10i 0.0313809i
\(301\) −1.06466e12 3.04090e12i −0.430902 1.23075i
\(302\) 1.99851e12 0.795558
\(303\) 9.67410e11i 0.378789i
\(304\) 3.01565e11 1.74109e11i 0.116148 0.0670584i
\(305\) 2.99953e12 1.13646
\(306\) −3.02038e12 + 1.74382e12i −1.12578 + 0.649971i
\(307\) 7.10245e10 + 1.23018e11i 0.0260445 + 0.0451104i 0.878754 0.477275i \(-0.158375\pi\)
−0.852709 + 0.522386i \(0.825042\pi\)
\(308\) 6.53208e11 + 3.77130e11i 0.235666 + 0.136062i
\(309\) 2.60354e12i 0.924211i
\(310\) 2.28708e11 3.96134e11i 0.0798865 0.138367i
\(311\) 1.90563e12 + 3.30064e12i 0.654992 + 1.13448i 0.981896 + 0.189422i \(0.0606613\pi\)
−0.326904 + 0.945058i \(0.606005\pi\)
\(312\) −1.08164e12 −0.365856
\(313\) 4.11115e11 2.37357e11i 0.136849 0.0790098i −0.430012 0.902823i \(-0.641491\pi\)
0.566861 + 0.823813i \(0.308158\pi\)
\(314\) −2.83417e12 + 4.90892e12i −0.928490 + 1.60819i
\(315\) −1.25360e12 + 2.17130e12i −0.404209 + 0.700110i
\(316\) 2.32617e11 4.02904e11i 0.0738254 0.127869i
\(317\) 1.86962e12 0.584061 0.292030 0.956409i \(-0.405669\pi\)
0.292030 + 0.956409i \(0.405669\pi\)
\(318\) −6.73659e11 + 1.16681e12i −0.207159 + 0.358810i
\(319\) −8.17975e11 4.72258e11i −0.247621 0.142964i
\(320\) 1.62627e12 9.38929e11i 0.484667 0.279823i
\(321\) −2.02334e12 + 1.16818e12i −0.593669 + 0.342755i
\(322\) −8.43254e12 −2.43601
\(323\) 6.52496e11i 0.185594i
\(324\) 9.25253e10 + 1.60259e11i 0.0259141 + 0.0448845i
\(325\) 3.36990e11 + 5.83684e11i 0.0929394 + 0.160976i
\(326\) 1.60002e12 2.77132e12i 0.434549 0.752661i
\(327\) 3.01488e12 + 1.74064e12i 0.806365 + 0.465555i
\(328\) 5.79004e12i 1.52515i
\(329\) 7.57566e12 + 4.37381e12i 1.96535 + 1.13470i
\(330\) 1.49485e12 + 8.63051e11i 0.381968 + 0.220529i
\(331\) 2.50795e12 + 1.44797e12i 0.631218 + 0.364434i 0.781224 0.624251i \(-0.214596\pi\)
−0.150006 + 0.988685i \(0.547929\pi\)
\(332\) −2.17039e11 3.75922e11i −0.0538080 0.0931982i
\(333\) 3.67043e12i 0.896387i
\(334\) −4.59911e12 + 2.65530e12i −1.10647 + 0.638823i
\(335\) 2.17288e12 + 1.25451e12i 0.515005 + 0.297338i
\(336\) 3.59371e12 0.839163
\(337\) 1.29299e11 2.23952e11i 0.0297471 0.0515235i −0.850769 0.525540i \(-0.823863\pi\)
0.880516 + 0.474017i \(0.157196\pi\)
\(338\) 1.49238e12 8.61628e11i 0.338296 0.195315i
\(339\) −1.28992e12 2.23420e12i −0.288113 0.499027i
\(340\) 1.64819e12i 0.362755i
\(341\) −3.11454e11 5.39454e11i −0.0675495 0.116999i
\(342\) −4.17493e11 −0.0892317
\(343\) 1.85464e12i 0.390650i
\(344\) 2.63062e12 3.05793e12i 0.546093 0.634798i
\(345\) −3.87775e12 −0.793386
\(346\) 3.38654e12i 0.682928i
\(347\) −1.56501e12 + 9.03559e11i −0.311078 + 0.179601i −0.647409 0.762143i \(-0.724147\pi\)
0.336331 + 0.941744i \(0.390814\pi\)
\(348\) 2.39511e11 0.0469278
\(349\) 7.39842e11 4.27148e11i 0.142893 0.0824995i −0.426849 0.904323i \(-0.640376\pi\)
0.569742 + 0.821823i \(0.307043\pi\)
\(350\) −8.82676e11 1.52884e12i −0.168059 0.291086i
\(351\) 3.44044e12 + 1.98634e12i 0.645772 + 0.372836i
\(352\) 2.20589e12i 0.408199i
\(353\) 5.91402e11 1.02434e12i 0.107897 0.186883i −0.807021 0.590523i \(-0.798922\pi\)
0.914918 + 0.403639i \(0.132255\pi\)
\(354\) −2.22692e11 3.85714e11i −0.0400579 0.0693823i
\(355\) 7.50502e12 1.33110
\(356\) 3.43199e10 1.98146e10i 0.00600200 0.00346525i
\(357\) 3.36697e12 5.83177e12i 0.580629 1.00568i
\(358\) 3.75609e12 6.50574e12i 0.638735 1.10632i
\(359\) 3.32814e12 5.76450e12i 0.558121 0.966695i −0.439532 0.898227i \(-0.644856\pi\)
0.997653 0.0684677i \(-0.0218110\pi\)
\(360\) −3.13896e12 −0.519127
\(361\) −3.02648e12 + 5.24202e12i −0.493630 + 0.854992i
\(362\) −7.35036e11 4.24373e11i −0.118240 0.0682661i
\(363\) −9.20490e11 + 5.31445e11i −0.146045 + 0.0843189i
\(364\) 1.46401e12 8.45246e11i 0.229106 0.132274i
\(365\) −9.82275e11 −0.151624
\(366\) 5.15474e12i 0.784877i
\(367\) −3.06052e12 5.30098e12i −0.459690 0.796207i 0.539254 0.842143i \(-0.318706\pi\)
−0.998944 + 0.0459361i \(0.985373\pi\)
\(368\) −6.69578e12 1.15974e13i −0.992115 1.71839i
\(369\) −4.40276e12 + 7.62581e12i −0.643567 + 1.11469i
\(370\) −7.47565e12 4.31607e12i −1.07805 0.622414i
\(371\) 6.26766e12i 0.891735i
\(372\) 1.36795e11 + 7.89789e10i 0.0192025 + 0.0110865i
\(373\) −9.30265e12 5.37089e12i −1.28844 0.743878i −0.310060 0.950717i \(-0.600349\pi\)
−0.978375 + 0.206838i \(0.933683\pi\)
\(374\) 9.67331e12 + 5.58489e12i 1.32196 + 0.763232i
\(375\) −2.16756e12 3.75432e12i −0.292291 0.506262i
\(376\) 1.09519e13i 1.45730i
\(377\) −1.83330e12 + 1.05845e12i −0.240727 + 0.138984i
\(378\) −9.01154e12 5.20281e12i −1.16772 0.674185i
\(379\) 2.06890e12 0.264571 0.132286 0.991212i \(-0.457768\pi\)
0.132286 + 0.991212i \(0.457768\pi\)
\(380\) −9.86499e10 + 1.70867e11i −0.0124503 + 0.0215645i
\(381\) 2.64442e12 1.52676e12i 0.329386 0.190171i
\(382\) −6.17441e12 1.06944e13i −0.759064 1.31474i
\(383\) 5.17236e12i 0.627617i −0.949486 0.313808i \(-0.898395\pi\)
0.949486 0.313808i \(-0.101605\pi\)
\(384\) 2.72574e12 + 4.72112e12i 0.326458 + 0.565443i
\(385\) 8.02975e12 0.949288
\(386\) 1.93315e12i 0.225595i
\(387\) −5.78994e12 + 2.02713e12i −0.666989 + 0.233522i
\(388\) −1.13222e12 −0.128757
\(389\) 1.34591e13i 1.51101i 0.655144 + 0.755504i \(0.272608\pi\)
−0.655144 + 0.755504i \(0.727392\pi\)
\(390\) 3.35034e12 1.93432e12i 0.371335 0.214390i
\(391\) −2.50933e13 −2.74583
\(392\) 4.70151e12 2.71442e12i 0.507934 0.293256i
\(393\) 2.38351e12 + 4.12837e12i 0.254246 + 0.440368i
\(394\) −1.36688e13 7.89168e12i −1.43962 0.831167i
\(395\) 4.95282e12i 0.515071i
\(396\) 7.18062e11 1.24372e12i 0.0737371 0.127716i
\(397\) 6.55166e11 + 1.13478e12i 0.0664353 + 0.115069i 0.897330 0.441361i \(-0.145504\pi\)
−0.830894 + 0.556430i \(0.812171\pi\)
\(398\) 1.50922e13 1.51125
\(399\) 6.98102e11 4.03049e11i 0.0690326 0.0398560i
\(400\) 1.40176e12 2.42792e12i 0.136891 0.237102i
\(401\) −2.14661e12 + 3.71803e12i −0.207029 + 0.358584i −0.950777 0.309875i \(-0.899713\pi\)
0.743749 + 0.668459i \(0.233046\pi\)
\(402\) −2.15590e12 + 3.73412e12i −0.205351 + 0.355679i
\(403\) −1.39610e12 −0.131338
\(404\) 9.46472e11 1.63934e12i 0.0879429 0.152322i
\(405\) 1.70609e12 + 9.85013e11i 0.156577 + 0.0903996i
\(406\) 4.80194e12 2.77240e12i 0.435298 0.251319i
\(407\) −1.01803e13 + 5.87760e12i −0.911568 + 0.526294i
\(408\) 8.43078e12 0.745705
\(409\) 1.30364e13i 1.13904i −0.821976 0.569522i \(-0.807128\pi\)
0.821976 0.569522i \(-0.192872\pi\)
\(410\) 1.03544e13 + 1.79344e13i 0.893732 + 1.54799i
\(411\) −5.12489e12 8.87657e12i −0.436994 0.756896i
\(412\) 2.54719e12 4.41186e12i 0.214573 0.371651i
\(413\) −1.79432e12 1.03595e12i −0.149331 0.0862164i
\(414\) 1.60557e13i 1.32016i
\(415\) −4.00202e12 2.31057e12i −0.325116 0.187706i
\(416\) 4.28162e12 + 2.47199e12i 0.343670 + 0.198418i
\(417\) −6.18896e12 3.57320e12i −0.490837 0.283385i
\(418\) 6.68549e11 + 1.15796e12i 0.0523904 + 0.0907428i
\(419\) 7.51961e12i 0.582271i −0.956682 0.291135i \(-0.905967\pi\)
0.956682 0.291135i \(-0.0940330\pi\)
\(420\) −1.76339e12 + 1.01810e12i −0.134928 + 0.0779008i
\(421\) −1.62467e12 9.38003e11i −0.122844 0.0709241i 0.437319 0.899307i \(-0.355928\pi\)
−0.560163 + 0.828382i \(0.689261\pi\)
\(422\) 1.49213e12 0.111492
\(423\) 8.32782e12 1.44242e13i 0.614935 1.06510i
\(424\) −6.79570e12 + 3.92350e12i −0.495912 + 0.286315i
\(425\) −2.62664e12 4.54948e12i −0.189433 0.328108i
\(426\) 1.28975e13i 0.919299i
\(427\) 1.19898e13 + 2.07670e13i 0.844643 + 1.46297i
\(428\) 4.57157e12 0.318307
\(429\) 5.26830e12i 0.362564i
\(430\) −2.67969e12 + 1.41762e13i −0.182282 + 0.964312i
\(431\) −4.13372e12 −0.277943 −0.138971 0.990296i \(-0.544380\pi\)
−0.138971 + 0.990296i \(0.544380\pi\)
\(432\) 1.65250e13i 1.09830i
\(433\) 1.15172e12 6.64944e11i 0.0756670 0.0436864i −0.461689 0.887042i \(-0.652756\pi\)
0.537356 + 0.843355i \(0.319423\pi\)
\(434\) 3.65680e12 0.237494
\(435\) 2.20820e12 1.27490e12i 0.141772 0.0818523i
\(436\) −3.40594e12 5.89926e12i −0.216174 0.374425i
\(437\) −2.60140e12 1.50192e12i −0.163230 0.0942409i
\(438\) 1.68805e12i 0.104717i
\(439\) −4.61880e12 + 7.99999e12i −0.283274 + 0.490645i −0.972189 0.234197i \(-0.924754\pi\)
0.688915 + 0.724842i \(0.258087\pi\)
\(440\) 5.02655e12 + 8.70623e12i 0.304794 + 0.527918i
\(441\) −8.25620e12 −0.494980
\(442\) 2.16804e13 1.25172e13i 1.28516 0.741986i
\(443\) 1.16588e13 2.01937e13i 0.683340 1.18358i −0.290616 0.956840i \(-0.593860\pi\)
0.973956 0.226739i \(-0.0728064\pi\)
\(444\) 1.49045e12 2.58153e12i 0.0863778 0.149611i
\(445\) 2.10944e11 3.65365e11i 0.0120883 0.0209376i
\(446\) −5.27330e12 −0.298819
\(447\) −8.41043e12 + 1.45673e13i −0.471282 + 0.816284i
\(448\) 1.30012e13 + 7.50622e12i 0.720430 + 0.415941i
\(449\) 1.76176e13 1.01715e13i 0.965415 0.557382i 0.0675793 0.997714i \(-0.478472\pi\)
0.897835 + 0.440332i \(0.145139\pi\)
\(450\) −2.91094e12 + 1.68063e12i −0.157750 + 0.0910773i
\(451\) 2.82013e13 1.51142
\(452\) 5.04800e12i 0.267563i
\(453\) 3.67356e12 + 6.36279e12i 0.192573 + 0.333546i
\(454\) 1.98492e12 + 3.43798e12i 0.102912 + 0.178248i
\(455\) 8.99837e12 1.55856e13i 0.461431 0.799223i
\(456\) 8.74010e11 + 5.04610e11i 0.0443295 + 0.0255936i
\(457\) 1.88337e13i 0.944832i 0.881376 + 0.472416i \(0.156618\pi\)
−0.881376 + 0.472416i \(0.843382\pi\)
\(458\) 2.01227e13 + 1.16179e13i 0.998525 + 0.576499i
\(459\) −2.68163e13 1.54824e13i −1.31624 0.759931i
\(460\) 6.57109e12 + 3.79382e12i 0.319042 + 0.184199i
\(461\) 1.06075e13 + 1.83727e13i 0.509458 + 0.882407i 0.999940 + 0.0109559i \(0.00348743\pi\)
−0.490482 + 0.871451i \(0.663179\pi\)
\(462\) 1.37992e13i 0.655609i
\(463\) 1.34139e13 7.74453e12i 0.630450 0.363990i −0.150476 0.988614i \(-0.548081\pi\)
0.780926 + 0.624623i \(0.214747\pi\)
\(464\) 7.62587e12 + 4.40280e12i 0.354568 + 0.204710i
\(465\) 1.68160e12 0.0773495
\(466\) 7.65623e11 1.32610e12i 0.0348406 0.0603456i
\(467\) −1.78030e13 + 1.02786e13i −0.801511 + 0.462753i −0.843999 0.536344i \(-0.819805\pi\)
0.0424881 + 0.999097i \(0.486472\pi\)
\(468\) −1.60936e12 2.78750e12i −0.0716845 0.124161i
\(469\) 2.00583e13i 0.883954i
\(470\) −1.95854e13 3.39229e13i −0.853971 1.47912i
\(471\) −2.08384e13 −0.899002
\(472\) 2.59399e12i 0.110728i
\(473\) 1.48941e13 + 1.28128e13i 0.629084 + 0.541178i
\(474\) 8.51149e12 0.355725
\(475\) 6.28853e11i 0.0260065i
\(476\) −1.14111e13 + 6.58820e12i −0.466974 + 0.269608i
\(477\) 1.19338e13 0.483265
\(478\) −2.64101e13 + 1.52479e13i −1.05835 + 0.611041i
\(479\) −2.24661e13 3.89124e13i −0.890943 1.54316i −0.838746 0.544522i \(-0.816711\pi\)
−0.0521967 0.998637i \(-0.516622\pi\)
\(480\) −5.15719e12 2.97751e12i −0.202398 0.116855i
\(481\) 2.63465e13i 1.02329i
\(482\) 1.74113e12 3.01572e12i 0.0669260 0.115919i
\(483\) −1.55002e13 2.68472e13i −0.589662 1.02132i
\(484\) 2.07977e12 0.0783048
\(485\) −1.04386e13 + 6.02672e12i −0.388985 + 0.224581i
\(486\) −1.57106e13 + 2.72116e13i −0.579445 + 1.00363i
\(487\) −1.03564e13 + 1.79378e13i −0.378064 + 0.654825i −0.990780 0.135477i \(-0.956743\pi\)
0.612717 + 0.790303i \(0.290077\pi\)
\(488\) −1.50110e13 + 2.59999e13i −0.542390 + 0.939447i
\(489\) 1.17643e13 0.420748
\(490\) −9.70849e12 + 1.68156e13i −0.343693 + 0.595294i
\(491\) 1.26465e13 + 7.30144e12i 0.443161 + 0.255859i 0.704938 0.709269i \(-0.250975\pi\)
−0.261777 + 0.965129i \(0.584308\pi\)
\(492\) −6.19322e12 + 3.57566e12i −0.214828 + 0.124031i
\(493\) 1.42895e13 8.25003e12i 0.490661 0.283283i
\(494\) 2.99678e12 0.101864
\(495\) 1.52888e13i 0.514455i
\(496\) 2.90364e12 + 5.02926e12i 0.0967242 + 0.167531i
\(497\) 2.99992e13 + 5.19602e13i 0.989301 + 1.71352i
\(498\) 3.97074e12 6.87753e12i 0.129636 0.224536i
\(499\) −1.47879e13 8.53781e12i −0.477974 0.275958i 0.241598 0.970376i \(-0.422329\pi\)
−0.719572 + 0.694418i \(0.755662\pi\)
\(500\) 8.48259e12i 0.271443i
\(501\) −1.69077e13 9.76165e12i −0.535667 0.309268i
\(502\) 3.52558e13 + 2.03549e13i 1.10589 + 0.638486i
\(503\) −3.48340e13 2.01114e13i −1.08184 0.624600i −0.150448 0.988618i \(-0.548071\pi\)
−0.931392 + 0.364018i \(0.881405\pi\)
\(504\) −1.25471e13 2.17323e13i −0.385827 0.668271i
\(505\) 2.01520e13i 0.613567i
\(506\) 4.45322e13 2.57107e13i 1.34252 0.775105i
\(507\) 5.48644e12 + 3.16760e12i 0.163776 + 0.0945562i
\(508\) −5.97485e12 −0.176607
\(509\) 1.16146e13 2.01170e13i 0.339949 0.588809i −0.644474 0.764626i \(-0.722924\pi\)
0.984423 + 0.175818i \(0.0562569\pi\)
\(510\) −2.61140e13 + 1.50769e13i −0.756872 + 0.436980i
\(511\) −3.92638e12 6.80069e12i −0.112691 0.195186i
\(512\) 1.44429e13i 0.410492i
\(513\) −1.85334e12 3.21009e12i −0.0521638 0.0903504i
\(514\) −1.83922e13 −0.512647
\(515\) 5.42340e13i 1.49705i
\(516\) −4.89541e12 9.25367e11i −0.133826 0.0252968i
\(517\) −5.33427e13 −1.44418
\(518\) 6.90092e13i 1.85037i
\(519\) 1.07819e13 6.22495e12i 0.286325 0.165310i
\(520\) 2.25316e13 0.592618
\(521\) −1.65599e12 + 9.56086e11i −0.0431389 + 0.0249063i −0.521414 0.853304i \(-0.674595\pi\)
0.478275 + 0.878210i \(0.341262\pi\)
\(522\) −5.27871e12 9.14299e12i −0.136199 0.235904i
\(523\) −3.19032e13 1.84193e13i −0.815317 0.470723i 0.0334821 0.999439i \(-0.489340\pi\)
−0.848799 + 0.528716i \(0.822674\pi\)
\(524\) 9.32770e12i 0.236112i
\(525\) 3.24497e12 5.62046e12i 0.0813607 0.140921i
\(526\) 9.25119e10 + 1.60235e11i 0.00229757 + 0.00397951i
\(527\) 1.08818e13 0.267699
\(528\) −1.89783e13 + 1.09572e13i −0.462476 + 0.267010i
\(529\) −3.70467e13 + 6.41668e13i −0.894275 + 1.54893i
\(530\) 1.40329e13 2.43057e13i 0.335559 0.581205i
\(531\) −1.97247e12 + 3.41643e12i −0.0467239 + 0.0809281i
\(532\) −1.57730e12 −0.0370132
\(533\) 3.16032e13 5.47384e13i 0.734675 1.27249i
\(534\) 6.27885e11 + 3.62510e11i 0.0144602 + 0.00834859i
\(535\) 4.21480e13 2.43342e13i 0.961631 0.555198i
\(536\) −2.17481e13 + 1.25563e13i −0.491585 + 0.283816i
\(537\) 2.76170e13 0.618450
\(538\) 7.06030e13i 1.56643i
\(539\) 1.32210e13 + 2.28994e13i 0.290616 + 0.503362i
\(540\) 4.68152e12 + 8.10862e12i 0.101957 + 0.176595i
\(541\) −1.24960e13 + 2.16436e13i −0.269639 + 0.467029i −0.968769 0.247966i \(-0.920238\pi\)
0.699129 + 0.714995i \(0.253571\pi\)
\(542\) −1.40801e13 8.12915e12i −0.301030 0.173800i
\(543\) 3.12024e12i 0.0660980i
\(544\) −3.33727e13 1.92678e13i −0.700482 0.404424i
\(545\) −6.28027e13 3.62592e13i −1.30616 0.754111i
\(546\) 2.67842e13 + 1.54638e13i 0.551969 + 0.318679i
\(547\) 1.76176e13 + 3.05146e13i 0.359759 + 0.623120i 0.987920 0.154963i \(-0.0495257\pi\)
−0.628162 + 0.778083i \(0.716192\pi\)
\(548\) 2.00559e13i 0.405825i
\(549\) 3.95407e13 2.28289e13i 0.792835 0.457744i
\(550\) 9.32281e12 + 5.38252e12i 0.185239 + 0.106948i
\(551\) 1.97517e12 0.0388907
\(552\) 1.94060e13 3.36122e13i 0.378653 0.655846i
\(553\) 3.42903e13 1.97975e13i 0.663050 0.382812i
\(554\) 3.67796e12 + 6.37041e12i 0.0704787 + 0.122073i
\(555\) 3.17342e13i 0.602647i
\(556\) 6.99172e12 + 1.21100e13i 0.131586 + 0.227914i
\(557\) 7.63405e13 1.42390 0.711950 0.702231i \(-0.247812\pi\)
0.711950 + 0.702231i \(0.247812\pi\)
\(558\) 6.96261e12i 0.128707i
\(559\) 4.15604e13 1.45508e13i 0.761413 0.266581i
\(560\) −7.48602e13 −1.35929
\(561\) 4.10634e13i 0.738993i
\(562\) 3.66604e13 2.11659e13i 0.653907 0.377533i
\(563\) −1.03709e14 −1.83347 −0.916735 0.399496i \(-0.869185\pi\)
−0.916735 + 0.399496i \(0.869185\pi\)
\(564\) 1.17145e13 6.76334e12i 0.205271 0.118513i
\(565\) 2.68701e13 + 4.65405e13i 0.466689 + 0.808330i
\(566\) 2.11118e13 + 1.21889e13i 0.363449 + 0.209837i
\(567\) 1.57493e13i 0.268748i
\(568\) −3.75585e13 + 6.50532e13i −0.635282 + 1.10034i
\(569\) 5.38639e13 + 9.32951e13i 0.903102 + 1.56422i 0.823445 + 0.567396i \(0.192049\pi\)
0.0796568 + 0.996822i \(0.474618\pi\)
\(570\) −3.60961e12 −0.0599911
\(571\) 8.07486e13 4.66202e13i 1.33031 0.768057i 0.344967 0.938615i \(-0.387890\pi\)
0.985348 + 0.170558i \(0.0545569\pi\)
\(572\) −5.15428e12 + 8.92747e12i −0.0841759 + 0.145797i
\(573\) 2.26989e13 3.93157e13i 0.367479 0.636492i
\(574\) −8.27781e13 + 1.43376e14i −1.32848 + 2.30100i
\(575\) −2.41841e13 −0.384760
\(576\) 1.42920e13 2.47545e13i 0.225414 0.390428i
\(577\) −5.23535e13 3.02263e13i −0.818591 0.472613i 0.0313397 0.999509i \(-0.490023\pi\)
−0.849930 + 0.526895i \(0.823356\pi\)
\(578\) −1.06486e14 + 6.14798e13i −1.65064 + 0.953000i
\(579\) −6.15470e12 + 3.55342e12i −0.0945832 + 0.0546076i
\(580\) −4.98924e12 −0.0760142
\(581\) 3.69434e13i 0.558029i
\(582\) −1.03570e13 1.79389e13i −0.155103 0.268646i
\(583\) −1.91100e13 3.30995e13i −0.283738 0.491449i
\(584\) 4.91575e12 8.51433e12i 0.0723645 0.125339i
\(585\) −2.96754e13 1.71331e13i −0.433129 0.250067i
\(586\) 2.76340e13i 0.399905i
\(587\) −1.13383e12 6.54617e11i −0.0162689 0.00939284i 0.491844 0.870684i \(-0.336323\pi\)
−0.508112 + 0.861291i \(0.669657\pi\)
\(588\) −5.80686e12 3.35259e12i −0.0826142 0.0476973i
\(589\) 1.12810e12 + 6.51311e11i 0.0159138 + 0.00918782i
\(590\) 4.63887e12 + 8.03477e12i 0.0648862 + 0.112386i
\(591\) 5.80243e13i 0.804771i
\(592\) 9.49096e13 5.47961e13i 1.30527 0.753600i
\(593\) 4.75652e13 + 2.74618e13i 0.648658 + 0.374503i 0.787942 0.615749i \(-0.211147\pi\)
−0.139284 + 0.990253i \(0.544480\pi\)
\(594\) 6.34531e13 0.858066
\(595\) −7.01371e13 + 1.21481e14i −0.940509 + 1.62901i
\(596\) 2.85040e13 1.64568e13i 0.379031 0.218834i
\(597\) 2.77417e13 + 4.80500e13i 0.365815 + 0.633610i
\(598\) 1.15249e14i 1.50706i
\(599\) 4.44489e13 + 7.69877e13i 0.576404 + 0.998360i 0.995888 + 0.0905975i \(0.0288777\pi\)
−0.419484 + 0.907763i \(0.637789\pi\)
\(600\) 8.12529e12 0.104492
\(601\) 6.43951e13i 0.821260i 0.911802 + 0.410630i \(0.134691\pi\)
−0.911802 + 0.410630i \(0.865309\pi\)
\(602\) −1.08859e14 + 3.81129e13i −1.37683 + 0.482047i
\(603\) 3.81914e13 0.479047
\(604\) 1.43762e13i 0.178838i
\(605\) 1.91746e13 1.10705e13i 0.236565 0.136581i
\(606\) 3.46316e13 0.423749
\(607\) 5.40505e13 3.12060e13i 0.655928 0.378700i −0.134796 0.990873i \(-0.543038\pi\)
0.790724 + 0.612173i \(0.209705\pi\)
\(608\) −2.30648e12 3.99494e12i −0.0277608 0.0480831i
\(609\) 1.76533e13 + 1.01922e13i 0.210737 + 0.121669i
\(610\) 1.07378e14i 1.27135i
\(611\) −5.97774e13 + 1.03537e14i −0.701990 + 1.21588i
\(612\) 1.25441e13 + 2.17270e13i 0.146110 + 0.253071i
\(613\) −1.15734e14 −1.33709 −0.668545 0.743672i \(-0.733082\pi\)
−0.668545 + 0.743672i \(0.733082\pi\)
\(614\) 4.40383e12 2.54255e12i 0.0504648 0.0291359i
\(615\) −3.80660e13 + 6.59322e13i −0.432674 + 0.749414i
\(616\) −4.01845e13 + 6.96016e13i −0.453059 + 0.784721i
\(617\) 7.24281e12 1.25449e13i 0.0809993 0.140295i −0.822680 0.568505i \(-0.807522\pi\)
0.903679 + 0.428210i \(0.140856\pi\)
\(618\) 9.32020e13 1.03391
\(619\) −5.63606e13 + 9.76194e13i −0.620186 + 1.07419i 0.369264 + 0.929324i \(0.379610\pi\)
−0.989451 + 0.144870i \(0.953724\pi\)
\(620\) −2.84957e12 1.64520e12i −0.0311044 0.0179581i
\(621\) −1.23452e14 + 7.12749e13i −1.33672 + 0.771753i
\(622\) 1.18157e14 6.82180e13i 1.26914 0.732736i
\(623\) 3.37276e12 0.0359372
\(624\) 4.91157e13i 0.519155i
\(625\) 3.41655e13 + 5.91763e13i 0.358251 + 0.620508i
\(626\) −8.49697e12 1.47172e13i −0.0883878 0.153092i
\(627\) −2.45778e12 + 4.25700e12i −0.0253633 + 0.0439305i
\(628\) 3.53121e13 + 2.03874e13i 0.361514 + 0.208720i
\(629\) 2.05356e14i 2.08571i
\(630\) 7.77285e13 + 4.48766e13i 0.783209 + 0.452186i
\(631\) −2.71561e13 1.56786e13i −0.271470 0.156733i 0.358086 0.933689i \(-0.383430\pi\)
−0.629555 + 0.776956i \(0.716763\pi\)
\(632\) 4.29309e13 + 2.47861e13i 0.425779 + 0.245824i
\(633\) 2.74275e12 + 4.75058e12i 0.0269878 + 0.0467442i
\(634\) 6.69292e13i 0.653385i
\(635\) −5.50857e13 + 3.18037e13i −0.533544 + 0.308042i
\(636\) 8.39340e12 + 4.84593e12i 0.0806589 + 0.0465684i
\(637\) 5.92633e13 0.565053
\(638\) −1.69060e13 + 2.92821e13i −0.159933 + 0.277012i
\(639\) 9.89333e13 5.71192e13i 0.928620 0.536139i
\(640\) −5.67796e13 9.83451e13i −0.528801 0.915910i
\(641\) 6.53033e13i 0.603455i 0.953394 + 0.301728i \(0.0975634\pi\)
−0.953394 + 0.301728i \(0.902437\pi\)
\(642\) 4.18187e13 + 7.24320e13i 0.383438 + 0.664134i
\(643\) 2.35095e13 0.213889 0.106945 0.994265i \(-0.465893\pi\)
0.106945 + 0.994265i \(0.465893\pi\)
\(644\) 6.06591e13i 0.547604i
\(645\) −5.00593e13 + 1.75264e13i −0.448422 + 0.156998i
\(646\) −2.33582e13 −0.207624
\(647\) 1.02918e14i 0.907759i 0.891063 + 0.453880i \(0.149960\pi\)
−0.891063 + 0.453880i \(0.850040\pi\)
\(648\) −1.70761e13 + 9.85890e12i −0.149456 + 0.0862886i
\(649\) 1.26344e13 0.109731
\(650\) 2.08948e13 1.20636e13i 0.180083 0.103971i
\(651\) 6.72173e12 + 1.16424e13i 0.0574878 + 0.0995718i
\(652\) −1.99354e13 1.15097e13i −0.169195 0.0976845i
\(653\) 1.39646e14i 1.17615i 0.808805 + 0.588076i \(0.200115\pi\)
−0.808805 + 0.588076i \(0.799885\pi\)
\(654\) 6.23119e13 1.07927e14i 0.520814 0.902076i
\(655\) −4.96508e13 8.59976e13i −0.411831 0.713313i
\(656\) −2.62917e14 −2.16421
\(657\) −1.29486e13 + 7.47590e12i −0.105778 + 0.0610712i
\(658\) 1.56575e14 2.71195e14i 1.26938 2.19863i
\(659\) 7.83577e13 1.35719e14i 0.630455 1.09198i −0.357003 0.934103i \(-0.616202\pi\)
0.987459 0.157878i \(-0.0504652\pi\)
\(660\) 6.20831e12 1.07531e13i 0.0495740 0.0858646i
\(661\) 1.92884e14 1.52859 0.764293 0.644869i \(-0.223088\pi\)
0.764293 + 0.644869i \(0.223088\pi\)
\(662\) 5.18346e13 8.97802e13i 0.407690 0.706140i
\(663\) 7.97035e13 + 4.60169e13i 0.622171 + 0.359211i
\(664\) 4.00558e13 2.31262e13i 0.310331 0.179170i
\(665\) −1.45421e13 + 8.39588e12i −0.111820 + 0.0645592i
\(666\) −1.31395e14 −1.00278
\(667\) 7.59599e13i 0.575381i
\(668\) 1.91007e13 + 3.30835e13i 0.143604 + 0.248730i
\(669\) −9.69310e12 1.67889e13i −0.0723323 0.125283i
\(670\) 4.49093e13 7.77852e13i 0.332631 0.576133i
\(671\) −1.26636e14 7.31135e13i −0.930991 0.537508i
\(672\) 4.76071e13i 0.347396i
\(673\) 1.67172e14 + 9.65166e13i 1.21084 + 0.699079i 0.962943 0.269707i \(-0.0869267\pi\)
0.247898 + 0.968786i \(0.420260\pi\)
\(674\) −8.01707e12 4.62866e12i −0.0576390 0.0332779i
\(675\) −2.58446e13 1.49214e13i −0.184438 0.106485i
\(676\) −6.19808e12 1.07354e13i −0.0439060 0.0760474i
\(677\) 2.72184e14i 1.91390i −0.290256 0.956949i \(-0.593740\pi\)
0.290256 0.956949i \(-0.406260\pi\)
\(678\) −7.99805e13 + 4.61767e13i −0.558259 + 0.322311i
\(679\) −8.34507e13 4.81803e13i −0.578204 0.333826i
\(680\) −1.75621e14 −1.20790
\(681\) −7.29715e12 + 1.26390e13i −0.0498216 + 0.0862936i
\(682\) −1.93115e13 + 1.11495e13i −0.130886 + 0.0755673i
\(683\) −5.94871e13 1.03035e14i −0.400239 0.693234i 0.593516 0.804822i \(-0.297739\pi\)
−0.993754 + 0.111589i \(0.964406\pi\)
\(684\) 3.00322e12i 0.0200589i
\(685\) 1.06756e14 + 1.84907e14i 0.707848 + 1.22603i
\(686\) 6.63927e13 0.437018
\(687\) 8.54213e13i 0.558190i
\(688\) −1.38856e14 1.19452e14i −0.900786 0.774913i
\(689\) −8.56609e13 −0.551679
\(690\) 1.38817e14i 0.887556i
\(691\) 9.45545e12 5.45910e12i 0.0600194 0.0346522i −0.469690 0.882831i \(-0.655634\pi\)
0.529709 + 0.848179i \(0.322301\pi\)
\(692\) −2.43609e13 −0.153519
\(693\) 1.05850e14 6.11128e13i 0.662257 0.382354i
\(694\) 3.23458e13 + 5.60246e13i 0.200919 + 0.348002i
\(695\) 1.28922e14 + 7.44329e13i 0.795064 + 0.459030i
\(696\) 2.55208e13i 0.156260i
\(697\) −2.46329e14 + 4.26654e14i −1.49745 + 2.59365i
\(698\) −1.52911e13 2.64850e13i −0.0922917 0.159854i
\(699\) 5.62931e12 0.0337341
\(700\) −1.09976e13 + 6.34948e12i −0.0654348 + 0.0377788i
\(701\) −1.50157e14 + 2.60079e14i −0.887064 + 1.53644i −0.0437343 + 0.999043i \(0.513926\pi\)
−0.843330 + 0.537397i \(0.819408\pi\)
\(702\) 7.11075e13 1.23162e14i 0.417090 0.722421i
\(703\) 1.22912e13 2.12890e13i 0.0715844 0.123988i
\(704\) −9.15454e13 −0.529387
\(705\) 7.20017e13 1.24711e14i 0.413425 0.716074i
\(706\) −3.66695e13 2.11712e13i −0.209065 0.120704i
\(707\) 1.39521e14 8.05522e13i 0.789844 0.456016i
\(708\) −2.77461e12 + 1.60192e12i −0.0155968 + 0.00900483i
\(709\) −8.16838e13 −0.455937 −0.227969 0.973669i \(-0.573208\pi\)
−0.227969 + 0.973669i \(0.573208\pi\)
\(710\) 2.68666e14i 1.48909i
\(711\) −3.76949e13 6.52895e13i −0.207460 0.359331i
\(712\) 2.11131e12 + 3.65690e12i 0.0115386 + 0.0199854i
\(713\) 2.50478e13 4.33840e13i 0.135932 0.235441i
\(714\) −2.08767e14 1.20532e14i −1.12505 0.649546i
\(715\) 1.09744e14i 0.587285i
\(716\) −4.67987e13 2.70192e13i −0.248696 0.143585i
\(717\) −9.70914e13 5.60557e13i −0.512371 0.295818i
\(718\) −2.06359e14 1.19141e14i −1.08144 0.624367i
\(719\) −1.76733e14 3.06110e14i −0.919755 1.59306i −0.799787 0.600284i \(-0.795054\pi\)
−0.119968 0.992778i \(-0.538279\pi\)
\(720\) 1.42535e14i 0.736648i
\(721\) 3.75484e14 2.16786e14i 1.92715 1.11264i
\(722\) 1.87655e14 + 1.08343e14i 0.956475 + 0.552221i
\(723\) 1.28018e13 0.0648006
\(724\) −3.05271e12 + 5.28744e12i −0.0153459 + 0.0265799i
\(725\) 1.37717e13 7.95110e12i 0.0687540 0.0396951i
\(726\) 1.90248e13 + 3.29519e13i 0.0943271 + 0.163379i
\(727\) 8.01696e13i 0.394764i −0.980327 0.197382i \(-0.936756\pi\)
0.980327 0.197382i \(-0.0632439\pi\)
\(728\) 9.00639e13 + 1.55995e14i 0.440447 + 0.762877i
\(729\) −7.30807e13 −0.354948
\(730\) 3.51637e13i 0.169621i
\(731\) −3.23939e14 + 1.13415e14i −1.55195 + 0.543357i
\(732\) 3.70804e13 0.176437
\(733\) 1.12690e14i 0.532557i −0.963896 0.266279i \(-0.914206\pi\)
0.963896 0.266279i \(-0.0857941\pi\)
\(734\) −1.89766e14 + 1.09561e14i −0.890712 + 0.514253i
\(735\) −7.13825e13 −0.332778
\(736\) −1.53635e14 + 8.87013e13i −0.711380 + 0.410715i
\(737\) −6.11573e13 1.05928e14i −0.281262 0.487160i
\(738\) 2.72990e14 + 1.57611e14i 1.24700 + 0.719955i
\(739\) 2.45639e13i 0.111449i 0.998446 + 0.0557244i \(0.0177468\pi\)
−0.998446 + 0.0557244i \(0.982253\pi\)
\(740\) −3.10474e13 + 5.37757e13i −0.139916 + 0.242341i
\(741\) 5.50852e12 + 9.54104e12i 0.0246572 + 0.0427076i
\(742\) 2.24371e14 0.997579
\(743\) −3.32893e14 + 1.92196e14i −1.47015 + 0.848790i −0.999439 0.0334994i \(-0.989335\pi\)
−0.470708 + 0.882289i \(0.656001\pi\)
\(744\) −8.41548e12 + 1.45760e13i −0.0369159 + 0.0639403i
\(745\) 1.75197e14 3.03450e14i 0.763388 1.32223i
\(746\) −1.92268e14 + 3.33018e14i −0.832173 + 1.44137i
\(747\) −7.03410e13 −0.302417
\(748\) 4.01746e13 6.95845e13i 0.171571 0.297170i
\(749\) 3.36951e14 + 1.94539e14i 1.42941 + 0.825271i
\(750\) −1.34398e14 + 7.75948e13i −0.566353 + 0.326984i
\(751\) −9.84631e12 + 5.68477e12i −0.0412167 + 0.0237965i −0.520467 0.853882i \(-0.674242\pi\)
0.479250 + 0.877678i \(0.340909\pi\)
\(752\) 4.97306e14 2.06793
\(753\) 1.49661e14i 0.618209i
\(754\) 3.78908e13 + 6.56287e13i 0.155481 + 0.269300i
\(755\) −7.65235e13 1.32543e14i −0.311932 0.540282i
\(756\) −3.74262e13 + 6.48240e13i −0.151554 + 0.262499i
\(757\) 1.09270e14 + 6.30871e13i 0.439563 + 0.253782i 0.703412 0.710782i \(-0.251659\pi\)
−0.263849 + 0.964564i \(0.584992\pi\)
\(758\) 7.40629e13i 0.295975i
\(759\) 1.63713e14 + 9.45199e13i 0.649943 + 0.375245i
\(760\) −1.82064e13 1.05115e13i −0.0718054 0.0414568i
\(761\) −3.60201e13 2.07962e13i −0.141131 0.0814818i