Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(52,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.u (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 52.3 | ||
Character | \(\chi\) | \(=\) | 731.52 |
Dual form | 731.2.u.a.239.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.49691 | − | 1.87707i | −1.05848 | − | 1.32729i | −0.942562 | − | 0.334030i | \(-0.891591\pi\) |
−0.115915 | − | 0.993259i | \(-0.536980\pi\) | |||||||
\(3\) | −2.23244 | − | 0.336487i | −1.28890 | − | 0.194271i | −0.531409 | − | 0.847115i | \(-0.678337\pi\) |
−0.757492 | + | 0.652845i | \(0.773575\pi\) | |||||||
\(4\) | −0.837601 | + | 3.66977i | −0.418800 | + | 1.83488i | ||||
\(5\) | 0.525293 | + | 0.358138i | 0.234918 | + | 0.160164i | 0.675058 | − | 0.737765i | \(-0.264119\pi\) |
−0.440140 | + | 0.897929i | \(0.645071\pi\) | |||||||
\(6\) | 2.71016 | + | 4.69414i | 1.10642 | + | 1.91638i | ||||
\(7\) | −0.291720 | + | 0.505274i | −0.110260 | + | 0.190976i | −0.915875 | − | 0.401464i | \(-0.868502\pi\) |
0.805615 | + | 0.592439i | \(0.201835\pi\) | |||||||
\(8\) | 3.81602 | − | 1.83770i | 1.34917 | − | 0.649725i | ||||
\(9\) | 2.00386 | + | 0.618108i | 0.667952 | + | 0.206036i | ||||
\(10\) | −0.114067 | − | 1.52211i | −0.0360710 | − | 0.481335i | ||||
\(11\) | −0.934818 | − | 4.09571i | −0.281858 | − | 1.23490i | −0.895408 | − | 0.445246i | \(-0.853116\pi\) |
0.613550 | − | 0.789656i | \(-0.289741\pi\) | |||||||
\(12\) | 3.10472 | − | 7.91070i | 0.896256 | − | 2.28362i | ||||
\(13\) | 0.362768 | − | 4.84080i | 0.100614 | − | 1.34260i | −0.687103 | − | 0.726560i | \(-0.741118\pi\) |
0.787717 | − | 0.616037i | \(-0.211263\pi\) | |||||||
\(14\) | 1.38511 | − | 0.208772i | 0.370187 | − | 0.0557967i | ||||
\(15\) | −1.05218 | − | 0.976277i | −0.271671 | − | 0.252074i | ||||
\(16\) | −2.37900 | − | 1.14566i | −0.594749 | − | 0.286416i | ||||
\(17\) | 0.826239 | − | 0.563320i | 0.200392 | − | 0.136625i | ||||
\(18\) | −1.83937 | − | 4.68663i | −0.433543 | − | 1.10465i | ||||
\(19\) | 5.49314 | − | 1.69441i | 1.26021 | − | 0.388724i | 0.408512 | − | 0.912753i | \(-0.366048\pi\) |
0.851701 | + | 0.524029i | \(0.175572\pi\) | |||||||
\(20\) | −1.75427 | + | 1.62773i | −0.392267 | + | 0.363970i | ||||
\(21\) | 0.821266 | − | 1.02983i | 0.179215 | − | 0.224728i | ||||
\(22\) | −6.28859 | + | 7.88564i | −1.34073 | + | 1.68122i | ||||
\(23\) | −6.72105 | + | 6.23622i | −1.40144 | + | 1.30034i | −0.500938 | + | 0.865483i | \(0.667011\pi\) |
−0.900498 | + | 0.434859i | \(0.856798\pi\) | |||||||
\(24\) | −9.13741 | + | 2.81852i | −1.86517 | + | 0.575328i | ||||
\(25\) | −1.67904 | − | 4.27811i | −0.335807 | − | 0.855623i | ||||
\(26\) | −9.62956 | + | 6.56532i | −1.88851 | + | 1.28757i | ||||
\(27\) | 1.83673 | + | 0.884523i | 0.353479 | + | 0.170227i | ||||
\(28\) | −1.60989 | − | 1.49376i | −0.304241 | − | 0.282295i | ||||
\(29\) | −6.20812 | + | 0.935724i | −1.15282 | + | 0.173760i | −0.697511 | − | 0.716574i | \(-0.745709\pi\) |
−0.455309 | + | 0.890334i | \(0.650471\pi\) | |||||||
\(30\) | −0.257524 | + | 3.43641i | −0.0470171 | + | 0.627400i | ||||
\(31\) | −0.931018 | + | 2.37219i | −0.167216 | + | 0.426059i | −0.989778 | − | 0.142616i | \(-0.954449\pi\) |
0.822562 | + | 0.568675i | \(0.192544\pi\) | |||||||
\(32\) | −0.474300 | − | 2.07804i | −0.0838451 | − | 0.367349i | ||||
\(33\) | 0.708778 | + | 9.45798i | 0.123382 | + | 1.64642i | ||||
\(34\) | −2.29420 | − | 0.707667i | −0.393452 | − | 0.121364i | ||||
\(35\) | −0.334196 | + | 0.160940i | −0.0564895 | + | 0.0272039i | ||||
\(36\) | −3.94674 | + | 6.83596i | −0.657791 | + | 1.13933i | ||||
\(37\) | −4.11120 | − | 7.12081i | −0.675878 | − | 1.17065i | −0.976212 | − | 0.216820i | \(-0.930431\pi\) |
0.300334 | − | 0.953834i | \(-0.402902\pi\) | |||||||
\(38\) | −11.4033 | − | 7.77463i | −1.84986 | − | 1.26121i | ||||
\(39\) | −2.43872 | + | 10.6847i | −0.390508 | + | 1.71093i | ||||
\(40\) | 2.66268 | + | 0.401334i | 0.421007 | + | 0.0634566i | ||||
\(41\) | 0.514100 | + | 0.644661i | 0.0802889 | + | 0.100679i | 0.820354 | − | 0.571857i | \(-0.193777\pi\) |
−0.740065 | + | 0.672536i | \(0.765205\pi\) | |||||||
\(42\) | −3.16244 | −0.487974 | ||||||||
\(43\) | 5.80487 | − | 3.05017i | 0.885234 | − | 0.465147i | ||||
\(44\) | 15.8133 | 2.38394 | ||||||||
\(45\) | 0.831243 | + | 1.04235i | 0.123914 | + | 0.155384i | ||||
\(46\) | 21.7667 | + | 3.28080i | 3.20932 | + | 0.483727i | ||||
\(47\) | −2.04445 | + | 8.95731i | −0.298213 | + | 1.30656i | 0.574572 | + | 0.818454i | \(0.305169\pi\) |
−0.872785 | + | 0.488104i | \(0.837689\pi\) | |||||||
\(48\) | 4.92547 | + | 3.35813i | 0.710931 | + | 0.484704i | ||||
\(49\) | 3.32980 | + | 5.76738i | 0.475686 | + | 0.823912i | ||||
\(50\) | −5.51695 | + | 9.55563i | −0.780214 | + | 1.35137i | ||||
\(51\) | −2.03408 | + | 0.979561i | −0.284828 | + | 0.137166i | ||||
\(52\) | 17.4608 | + | 5.38593i | 2.42137 | + | 0.746895i | ||||
\(53\) | −0.438143 | − | 5.84661i | −0.0601836 | − | 0.803094i | −0.942876 | − | 0.333143i | \(-0.891891\pi\) |
0.882693 | − | 0.469951i | \(-0.155728\pi\) | |||||||
\(54\) | −1.08912 | − | 4.77173i | −0.148210 | − | 0.649350i | ||||
\(55\) | 0.975777 | − | 2.48624i | 0.131574 | − | 0.335244i | ||||
\(56\) | −0.184669 | + | 2.46423i | −0.0246774 | + | 0.329297i | ||||
\(57\) | −12.8333 | + | 1.93430i | −1.69981 | + | 0.256205i | ||||
\(58\) | 11.0494 | + | 10.2524i | 1.45086 | + | 1.34620i | ||||
\(59\) | −2.26631 | − | 1.09140i | −0.295049 | − | 0.142088i | 0.280503 | − | 0.959853i | \(-0.409499\pi\) |
−0.575552 | + | 0.817765i | \(0.695213\pi\) | |||||||
\(60\) | 4.46402 | − | 3.04351i | 0.576302 | − | 0.392916i | ||||
\(61\) | 2.69324 | + | 6.86227i | 0.344834 | + | 0.878623i | 0.993107 | + | 0.117215i | \(0.0373966\pi\) |
−0.648272 | + | 0.761409i | \(0.724508\pi\) | |||||||
\(62\) | 5.84643 | − | 1.80338i | 0.742497 | − | 0.229030i | ||||
\(63\) | −0.896878 | + | 0.832182i | −0.112996 | + | 0.104845i | ||||
\(64\) | −6.48328 | + | 8.12978i | −0.810410 | + | 1.01622i | ||||
\(65\) | 1.92424 | − | 2.41292i | 0.238672 | − | 0.299285i | ||||
\(66\) | 16.6923 | − | 15.4882i | 2.05468 | − | 1.90647i | ||||
\(67\) | −7.90923 | + | 2.43967i | −0.966266 | + | 0.298054i | −0.737439 | − | 0.675413i | \(-0.763965\pi\) |
−0.228827 | + | 0.973467i | \(0.573489\pi\) | |||||||
\(68\) | 1.37520 | + | 3.50394i | 0.166767 | + | 0.424915i | ||||
\(69\) | 17.1028 | − | 11.6605i | 2.05893 | − | 1.40376i | ||||
\(70\) | 0.802360 | + | 0.386396i | 0.0959003 | + | 0.0461832i | ||||
\(71\) | 8.60172 | + | 7.98123i | 1.02084 | + | 0.947198i | 0.998618 | − | 0.0525552i | \(-0.0167365\pi\) |
0.0222186 | + | 0.999753i | \(0.492927\pi\) | |||||||
\(72\) | 8.78266 | − | 1.32377i | 1.03505 | − | 0.156008i | ||||
\(73\) | 0.500250 | − | 6.67537i | 0.0585498 | − | 0.781292i | −0.888228 | − | 0.459404i | \(-0.848063\pi\) |
0.946777 | − | 0.321889i | \(-0.104318\pi\) | |||||||
\(74\) | −7.21215 | + | 18.3763i | −0.838395 | + | 2.13620i | ||||
\(75\) | 2.30882 | + | 10.1156i | 0.266600 | + | 1.16805i | ||||
\(76\) | 1.61703 | + | 21.5778i | 0.185486 | + | 2.47514i | ||||
\(77\) | 2.34216 | + | 0.722460i | 0.266914 | + | 0.0823320i | ||||
\(78\) | 23.7066 | − | 11.4165i | 2.68424 | − | 1.29266i | ||||
\(79\) | −2.74163 | + | 4.74864i | −0.308457 | + | 0.534263i | −0.978025 | − | 0.208488i | \(-0.933146\pi\) |
0.669568 | + | 0.742751i | \(0.266479\pi\) | |||||||
\(80\) | −0.839363 | − | 1.45382i | −0.0938437 | − | 0.162542i | ||||
\(81\) | −9.00069 | − | 6.13656i | −1.00008 | − | 0.681840i | ||||
\(82\) | 0.440511 | − | 1.93000i | 0.0486462 | − | 0.213133i | ||||
\(83\) | −14.2941 | − | 2.15449i | −1.56899 | − | 0.236487i | −0.693762 | − | 0.720205i | \(-0.744048\pi\) |
−0.875224 | + | 0.483718i | \(0.839286\pi\) | |||||||
\(84\) | 3.09136 | + | 3.87644i | 0.337295 | + | 0.422955i | ||||
\(85\) | 0.635764 | 0.0689583 | ||||||||
\(86\) | −14.4148 | − | 6.33030i | −1.55438 | − | 0.682614i | ||||
\(87\) | 14.1741 | 1.51963 | ||||||||
\(88\) | −11.0940 | − | 13.9114i | −1.18262 | − | 1.48296i | ||||
\(89\) | −10.9660 | − | 1.65286i | −1.16240 | − | 0.175203i | −0.460619 | − | 0.887598i | \(-0.652372\pi\) |
−0.701779 | + | 0.712395i | \(0.747611\pi\) | |||||||
\(90\) | 0.712257 | − | 3.12060i | 0.0750785 | − | 0.328940i | ||||
\(91\) | 2.34010 | + | 1.59546i | 0.245309 | + | 0.167249i | ||||
\(92\) | −17.2559 | − | 29.8882i | −1.79906 | − | 3.11606i | ||||
\(93\) | 2.87666 | − | 4.98251i | 0.298295 | − | 0.516663i | ||||
\(94\) | 19.8739 | − | 9.57075i | 2.04983 | − | 0.987148i | ||||
\(95\) | 3.49234 | + | 1.07724i | 0.358306 | + | 0.110523i | ||||
\(96\) | 0.359613 | + | 4.79870i | 0.0367029 | + | 0.489766i | ||||
\(97\) | −0.854575 | − | 3.74414i | −0.0867689 | − | 0.380159i | 0.912834 | − | 0.408330i | \(-0.133889\pi\) |
−0.999603 | + | 0.0281709i | \(0.991032\pi\) | |||||||
\(98\) | 5.84136 | − | 14.8835i | 0.590066 | − | 1.50346i | ||||
\(99\) | 0.658347 | − | 8.78502i | 0.0661663 | − | 0.882928i | ||||
\(100\) | 17.1060 | − | 2.57832i | 1.71060 | − | 0.257832i | ||||
\(101\) | 8.33642 | + | 7.73507i | 0.829505 | + | 0.769668i | 0.975589 | − | 0.219604i | \(-0.0704766\pi\) |
−0.146084 | + | 0.989272i | \(0.546667\pi\) | |||||||
\(102\) | 4.88355 | + | 2.35179i | 0.483543 | + | 0.232862i | ||||
\(103\) | −10.1265 | + | 6.90413i | −0.997793 | + | 0.680284i | −0.947932 | − | 0.318473i | \(-0.896830\pi\) |
−0.0498608 | + | 0.998756i | \(0.515878\pi\) | |||||||
\(104\) | −7.51161 | − | 19.1393i | −0.736574 | − | 1.87676i | ||||
\(105\) | 0.800228 | − | 0.246838i | 0.0780943 | − | 0.0240889i | ||||
\(106\) | −10.3186 | + | 9.57430i | −1.00224 | + | 0.929939i | ||||
\(107\) | −6.65733 | + | 8.34802i | −0.643588 | + | 0.807034i | −0.991447 | − | 0.130513i | \(-0.958338\pi\) |
0.347859 | + | 0.937547i | \(0.386909\pi\) | |||||||
\(108\) | −4.78444 | + | 5.99950i | −0.460383 | + | 0.577302i | ||||
\(109\) | −8.25647 | + | 7.66089i | −0.790827 | + | 0.733780i | −0.968150 | − | 0.250373i | \(-0.919447\pi\) |
0.177323 | + | 0.984153i | \(0.443256\pi\) | |||||||
\(110\) | −6.12750 | + | 1.89008i | −0.584234 | + | 0.180212i | ||||
\(111\) | 6.78197 | + | 17.2802i | 0.643716 | + | 1.64016i | ||||
\(112\) | 1.27288 | − | 0.867832i | 0.120275 | − | 0.0820024i | ||||
\(113\) | −17.4291 | − | 8.39340i | −1.63959 | − | 0.789585i | −0.999778 | − | 0.0210521i | \(-0.993298\pi\) |
−0.639811 | − | 0.768532i | \(-0.720987\pi\) | |||||||
\(114\) | 22.8411 | + | 21.1935i | 2.13927 | + | 1.98495i | ||||
\(115\) | −5.76395 | + | 0.868776i | −0.537491 | + | 0.0810138i | ||||
\(116\) | 1.76604 | − | 23.5661i | 0.163972 | − | 2.18806i | ||||
\(117\) | 3.71907 | − | 9.47604i | 0.343828 | − | 0.876060i | ||||
\(118\) | 1.34384 | + | 5.88776i | 0.123711 | + | 0.542012i | ||||
\(119\) | 0.0436005 | + | 0.581808i | 0.00399685 | + | 0.0533343i | ||||
\(120\) | −5.80924 | − | 1.79191i | −0.530308 | − | 0.163578i | ||||
\(121\) | −5.99027 | + | 2.88476i | −0.544570 | + | 0.262251i | ||||
\(122\) | 8.84941 | − | 15.3276i | 0.801188 | − | 1.38770i | ||||
\(123\) | −0.930778 | − | 1.61216i | −0.0839255 | − | 0.145363i | ||||
\(124\) | −7.92558 | − | 5.40357i | −0.711739 | − | 0.485255i | ||||
\(125\) | 1.35753 | − | 5.94771i | 0.121421 | − | 0.531979i | ||||
\(126\) | 2.90461 | + | 0.437800i | 0.258763 | + | 0.0390023i | ||||
\(127\) | 5.19010 | + | 6.50818i | 0.460547 | + | 0.577508i | 0.956828 | − | 0.290654i | \(-0.0938729\pi\) |
−0.496281 | + | 0.868162i | \(0.665301\pi\) | |||||||
\(128\) | 20.7021 | 1.82982 | ||||||||
\(129\) | −13.9854 | + | 4.85607i | −1.23134 | + | 0.427553i | ||||
\(130\) | −7.40963 | −0.649868 | ||||||||
\(131\) | 8.19556 | + | 10.2769i | 0.716049 | + | 0.897897i | 0.998107 | − | 0.0615002i | \(-0.0195885\pi\) |
−0.282058 | + | 0.959397i | \(0.591017\pi\) | |||||||
\(132\) | −35.3023 | − | 5.32096i | −3.07267 | − | 0.463130i | ||||
\(133\) | −0.746318 | + | 3.26983i | −0.0647140 | + | 0.283530i | ||||
\(134\) | 16.4189 | + | 11.1942i | 1.41837 | + | 0.967031i | ||||
\(135\) | 0.648040 | + | 1.12244i | 0.0557744 | + | 0.0966041i | ||||
\(136\) | 2.11773 | − | 3.66802i | 0.181594 | − | 0.314530i | ||||
\(137\) | 12.1935 | − | 5.87209i | 1.04176 | − | 0.501687i | 0.166858 | − | 0.985981i | \(-0.446638\pi\) |
0.874905 | + | 0.484294i | \(0.160924\pi\) | |||||||
\(138\) | −47.4889 | − | 14.6484i | −4.04252 | − | 1.24695i | ||||
\(139\) | −0.404203 | − | 5.39371i | −0.0342840 | − | 0.457489i | −0.987756 | − | 0.156007i | \(-0.950138\pi\) |
0.953472 | − | 0.301482i | \(-0.0974813\pi\) | |||||||
\(140\) | −0.310691 | − | 1.36123i | −0.0262582 | − | 0.115045i | ||||
\(141\) | 7.57813 | − | 19.3088i | 0.638194 | − | 1.62609i | ||||
\(142\) | 2.10530 | − | 28.0933i | 0.176673 | − | 2.35753i | ||||
\(143\) | −20.1656 | + | 3.03948i | −1.68633 | + | 0.254174i | ||||
\(144\) | −4.05902 | − | 3.76622i | −0.338252 | − | 0.313852i | ||||
\(145\) | −3.59620 | − | 1.73184i | −0.298648 | − | 0.143821i | ||||
\(146\) | −13.2790 | + | 9.05344i | −1.09897 | + | 0.749268i | ||||
\(147\) | −5.49294 | − | 13.9958i | −0.453050 | − | 1.15435i | ||||
\(148\) | 29.5753 | − | 9.12276i | 2.43107 | − | 0.749887i | ||||
\(149\) | −7.73302 | + | 7.17520i | −0.633514 | + | 0.587815i | −0.930152 | − | 0.367175i | \(-0.880325\pi\) |
0.296638 | + | 0.954990i | \(0.404135\pi\) | |||||||
\(150\) | 15.5316 | − | 19.4760i | 1.26815 | − | 1.59021i | ||||
\(151\) | 0.875576 | − | 1.09794i | 0.0712534 | − | 0.0893489i | −0.744927 | − | 0.667146i | \(-0.767516\pi\) |
0.816181 | + | 0.577797i | \(0.196087\pi\) | |||||||
\(152\) | 17.8481 | − | 16.5606i | 1.44767 | − | 1.34325i | ||||
\(153\) | 2.00386 | − | 0.618108i | 0.162002 | − | 0.0499711i | ||||
\(154\) | −2.14990 | − | 5.47786i | −0.173244 | − | 0.441418i | ||||
\(155\) | −1.33863 | + | 0.912663i | −0.107521 | + | 0.0733069i | ||||
\(156\) | −37.1679 | − | 17.8991i | −2.97581 | − | 1.43307i | ||||
\(157\) | 12.3771 | + | 11.4843i | 0.987802 | + | 0.916546i | 0.996515 | − | 0.0834156i | \(-0.0265829\pi\) |
−0.00871268 | + | 0.999962i | \(0.502773\pi\) | |||||||
\(158\) | 13.0175 | − | 1.96207i | 1.03562 | − | 0.156094i | ||||
\(159\) | −0.989178 | + | 13.1997i | −0.0784469 | + | 1.04680i | ||||
\(160\) | 0.495081 | − | 1.26145i | 0.0391396 | − | 0.0997260i | ||||
\(161\) | −1.19034 | − | 5.21520i | −0.0938116 | − | 0.411015i | ||||
\(162\) | 1.95449 | + | 26.0808i | 0.153559 | + | 2.04910i | ||||
\(163\) | −15.1308 | − | 4.66722i | −1.18513 | − | 0.365565i | −0.361328 | − | 0.932439i | \(-0.617677\pi\) |
−0.823805 | + | 0.566873i | \(0.808153\pi\) | |||||||
\(164\) | −2.79637 | + | 1.34666i | −0.218359 | + | 0.105156i | ||||
\(165\) | −3.01495 | + | 5.22205i | −0.234714 | + | 0.406536i | ||||
\(166\) | 17.3530 | + | 30.0562i | 1.34685 | + | 2.33281i | ||||
\(167\) | −2.35443 | − | 1.60522i | −0.182191 | − | 0.124216i | 0.468790 | − | 0.883310i | \(-0.344690\pi\) |
−0.650981 | + | 0.759094i | \(0.725642\pi\) | |||||||
\(168\) | 1.24144 | − | 5.43911i | 0.0957793 | − | 0.419637i | ||||
\(169\) | −10.4470 | − | 1.57463i | −0.803612 | − | 0.121125i | ||||
\(170\) | −0.951683 | − | 1.19337i | −0.0729908 | − | 0.0915276i | ||||
\(171\) | 12.0548 | 0.921853 | ||||||||
\(172\) | 6.33126 | + | 23.8573i | 0.482754 | + | 1.81910i | ||||
\(173\) | −11.8776 | −0.903038 | −0.451519 | − | 0.892261i | \(-0.649118\pi\) | ||||
−0.451519 | + | 0.892261i | \(0.649118\pi\) | |||||||
\(174\) | −21.2175 | − | 26.6058i | −1.60849 | − | 2.01698i | ||||
\(175\) | 2.65143 | + | 0.399638i | 0.200429 | + | 0.0302098i | ||||
\(176\) | −2.46838 | + | 10.8147i | −0.186061 | + | 0.815186i | ||||
\(177\) | 4.69217 | + | 3.19907i | 0.352685 | + | 0.240457i | ||||
\(178\) | 13.3127 | + | 23.0582i | 0.997827 | + | 1.72829i | ||||
\(179\) | 9.86012 | − | 17.0782i | 0.736980 | − | 1.27649i | −0.216869 | − | 0.976201i | \(-0.569585\pi\) |
0.953849 | − | 0.300286i | \(-0.0970821\pi\) | |||||||
\(180\) | −4.52142 | + | 2.17740i | −0.337006 | + | 0.162294i | ||||
\(181\) | −3.50206 | − | 1.08024i | −0.260306 | − | 0.0802938i | 0.161855 | − | 0.986815i | \(-0.448252\pi\) |
−0.422161 | + | 0.906521i | \(0.638728\pi\) | |||||||
\(182\) | −0.508151 | − | 6.78080i | −0.0376666 | − | 0.502626i | ||||
\(183\) | −3.70345 | − | 16.2259i | −0.273767 | − | 1.19945i | ||||
\(184\) | −14.1874 | + | 36.1489i | −1.04591 | + | 2.66493i | ||||
\(185\) | 0.390652 | − | 5.21289i | 0.0287213 | − | 0.383259i | ||||
\(186\) | −13.6586 | + | 2.05871i | −1.00150 | + | 0.150952i | ||||
\(187\) | −3.07958 | − | 2.85743i | −0.225201 | − | 0.208956i | ||||
\(188\) | −31.1588 | − | 15.0053i | −2.27249 | − | 1.09437i | ||||
\(189\) | −0.982738 | + | 0.670019i | −0.0714836 | + | 0.0487367i | ||||
\(190\) | −3.20567 | − | 8.16791i | −0.232564 | − | 0.592562i | ||||
\(191\) | −16.6044 | + | 5.12177i | −1.20145 | + | 0.370598i | −0.829951 | − | 0.557836i | \(-0.811632\pi\) |
−0.371498 | + | 0.928434i | \(0.621156\pi\) | |||||||
\(192\) | 17.2091 | − | 15.9677i | 1.24196 | − | 1.15237i | ||||
\(193\) | −8.76411 | + | 10.9898i | −0.630854 | + | 0.791066i | −0.989826 | − | 0.142282i | \(-0.954556\pi\) |
0.358972 | + | 0.933348i | \(0.383127\pi\) | |||||||
\(194\) | −5.74878 | + | 7.20875i | −0.412739 | + | 0.517558i | ||||
\(195\) | −5.10766 | + | 4.73922i | −0.365767 | + | 0.339382i | ||||
\(196\) | −23.9540 | + | 7.38883i | −1.71100 | + | 0.527773i | ||||
\(197\) | −1.20342 | − | 3.06626i | −0.0857399 | − | 0.218462i | 0.881573 | − | 0.472048i | \(-0.156485\pi\) |
−0.967313 | + | 0.253586i | \(0.918390\pi\) | |||||||
\(198\) | −17.4756 | + | 11.9147i | −1.24194 | + | 0.846738i | ||||
\(199\) | 4.60308 | + | 2.21673i | 0.326304 | + | 0.157140i | 0.589863 | − | 0.807504i | \(-0.299182\pi\) |
−0.263559 | + | 0.964643i | \(0.584896\pi\) | |||||||
\(200\) | −14.2691 | − | 13.2398i | −1.00898 | − | 0.936196i | ||||
\(201\) | 18.4778 | − | 2.78508i | 1.30332 | − | 0.196445i | ||||
\(202\) | 2.04036 | − | 27.2268i | 0.143560 | − | 1.91567i | ||||
\(203\) | 1.33824 | − | 3.40977i | 0.0939258 | − | 0.239319i | ||||
\(204\) | −1.89102 | − | 8.28508i | −0.132398 | − | 0.580072i | ||||
\(205\) | 0.0391750 | + | 0.522754i | 0.00273610 | + | 0.0365108i | ||||
\(206\) | 28.1180 | + | 8.67326i | 1.95907 | + | 0.604295i | ||||
\(207\) | −17.3227 | + | 8.34216i | −1.20401 | + | 0.579820i | ||||
\(208\) | −6.40896 | + | 11.1006i | −0.444381 | + | 0.769691i | ||||
\(209\) | −12.0749 | − | 20.9143i | −0.835238 | − | 1.44667i | ||||
\(210\) | −1.66120 | − | 1.13259i | −0.114634 | − | 0.0781561i | ||||
\(211\) | −4.68877 | + | 20.5428i | −0.322788 | + | 1.41423i | 0.509780 | + | 0.860305i | \(0.329727\pi\) |
−0.832568 | + | 0.553923i | \(0.813130\pi\) | |||||||
\(212\) | 21.8227 | + | 3.28924i | 1.49879 | + | 0.225906i | ||||
\(213\) | −16.5173 | − | 20.7120i | −1.13174 | − | 1.41916i | ||||
\(214\) | 25.6353 | 1.75239 | ||||||||
\(215\) | 4.14164 | + | 0.476713i | 0.282457 | + | 0.0325116i | ||||
\(216\) | 8.63450 | 0.587503 | ||||||||
\(217\) | −0.927011 | − | 1.16244i | −0.0629296 | − | 0.0789113i | ||||
\(218\) | 26.7393 | + | 4.03029i | 1.81101 | + | 0.272966i | ||||
\(219\) | −3.36295 | + | 14.7340i | −0.227247 | + | 0.995634i | ||||
\(220\) | 8.30661 | + | 5.66335i | 0.560032 | + | 0.381823i | ||||
\(221\) | −2.42719 | − | 4.20401i | −0.163270 | − | 0.282792i | ||||
\(222\) | 22.2841 | − | 38.5971i | 1.49561 | − | 2.59047i | ||||
\(223\) | −2.77236 | + | 1.33510i | −0.185651 | + | 0.0894049i | −0.524400 | − | 0.851472i | \(-0.675710\pi\) |
0.338749 | + | 0.940877i | \(0.389996\pi\) | |||||||
\(224\) | 1.18834 | + | 0.366555i | 0.0793995 | + | 0.0244915i | ||||
\(225\) | −0.720211 | − | 9.61055i | −0.0480141 | − | 0.640703i | ||||
\(226\) | 10.3348 | + | 45.2798i | 0.687462 | + | 3.01197i | ||||
\(227\) | 8.22772 | − | 20.9639i | 0.546093 | − | 1.39142i | −0.345430 | − | 0.938445i | \(-0.612267\pi\) |
0.891522 | − | 0.452977i | \(-0.149638\pi\) | |||||||
\(228\) | 3.65071 | − | 48.7153i | 0.241774 | − | 3.22625i | ||||
\(229\) | −5.75925 | + | 0.868068i | −0.380582 | + | 0.0573635i | −0.336548 | − | 0.941666i | \(-0.609259\pi\) |
−0.0440346 | + | 0.999030i | \(0.514021\pi\) | |||||||
\(230\) | 10.2589 | + | 9.51886i | 0.676451 | + | 0.627655i | ||||
\(231\) | −4.98563 | − | 2.40095i | −0.328031 | − | 0.157971i | ||||
\(232\) | −21.9708 | + | 14.9794i | −1.44245 | + | 0.983447i | ||||
\(233\) | 4.09184 | + | 10.4258i | 0.268065 | + | 0.683019i | 0.999999 | + | 0.00164304i | \(0.000522996\pi\) |
−0.731933 | + | 0.681376i | \(0.761382\pi\) | |||||||
\(234\) | −23.3543 | + | 7.20385i | −1.52672 | + | 0.470931i | ||||
\(235\) | −4.28189 | + | 3.97302i | −0.279320 | + | 0.259171i | ||||
\(236\) | 5.90345 | − | 7.40269i | 0.384282 | − | 0.481874i | ||||
\(237\) | 7.71837 | − | 9.67853i | 0.501362 | − | 0.628688i | ||||
\(238\) | 1.02683 | − | 0.952758i | 0.0665594 | − | 0.0617581i | ||||
\(239\) | −4.64461 | + | 1.43267i | −0.300435 | + | 0.0926719i | −0.441308 | − | 0.897356i | \(-0.645485\pi\) |
0.140873 | + | 0.990028i | \(0.455009\pi\) | |||||||
\(240\) | 1.38464 | + | 3.52800i | 0.0893781 | + | 0.227732i | ||||
\(241\) | 13.5440 | − | 9.23413i | 0.872445 | − | 0.594823i | −0.0421873 | − | 0.999110i | \(-0.513433\pi\) |
0.914632 | + | 0.404287i | \(0.132480\pi\) | |||||||
\(242\) | 14.3818 | + | 6.92592i | 0.924498 | + | 0.445215i | ||||
\(243\) | 13.5454 | + | 12.5683i | 0.868938 | + | 0.806257i | ||||
\(244\) | −27.4388 | + | 4.13573i | −1.75659 | + | 0.264763i | ||||
\(245\) | −0.316402 | + | 4.22209i | −0.0202142 | + | 0.269740i | ||||
\(246\) | −1.63283 | + | 4.16039i | −0.104106 | + | 0.265257i | ||||
\(247\) | −6.20956 | − | 27.2059i | −0.395105 | − | 1.73107i | ||||
\(248\) | 0.806597 | + | 10.7633i | 0.0512189 | + | 0.683469i | ||||
\(249\) | 31.1859 | + | 9.61957i | 1.97632 | + | 0.609615i | ||||
\(250\) | −13.1964 | + | 6.35503i | −0.834611 | + | 0.401928i | ||||
\(251\) | −9.14713 | + | 15.8433i | −0.577362 | + | 1.00002i | 0.418419 | + | 0.908254i | \(0.362584\pi\) |
−0.995781 | + | 0.0917659i | \(0.970749\pi\) | |||||||
\(252\) | −2.30269 | − | 3.98837i | −0.145056 | − | 0.251244i | ||||
\(253\) | 31.8247 | + | 21.6977i | 2.00080 | + | 1.36412i | ||||
\(254\) | 4.44718 | − | 19.4844i | 0.279041 | − | 1.22256i | ||||
\(255\) | −1.41931 | − | 0.213926i | −0.0888804 | − | 0.0133966i | ||||
\(256\) | −18.0227 | − | 22.5998i | −1.12642 | − | 1.41248i | ||||
\(257\) | −2.96537 | −0.184975 | −0.0924875 | − | 0.995714i | \(-0.529482\pi\) | ||||
−0.0924875 | + | 0.995714i | \(0.529482\pi\) | |||||||
\(258\) | 30.0501 | + | 18.9824i | 1.87084 | + | 1.18179i | ||||
\(259\) | 4.79728 | 0.298088 | ||||||||
\(260\) | 7.24310 | + | 9.08256i | 0.449198 | + | 0.563277i | ||||
\(261\) | −13.0186 | − | 1.96223i | −0.805829 | − | 0.121459i | ||||
\(262\) | 7.02243 | − | 30.7673i | 0.433847 | − | 1.90081i | ||||
\(263\) | −9.30520 | − | 6.34418i | −0.573783 | − | 0.391199i | 0.241379 | − | 0.970431i | \(-0.422400\pi\) |
−0.815163 | + | 0.579232i | \(0.803353\pi\) | |||||||
\(264\) | 20.0856 | + | 34.7894i | 1.23619 | + | 2.14114i | ||||
\(265\) | 1.86374 | − | 3.22810i | 0.114489 | − | 0.198301i | ||||
\(266\) | 7.25488 | − | 3.49377i | 0.444825 | − | 0.214217i | ||||
\(267\) | 23.9249 | + | 7.37985i | 1.46418 | + | 0.451639i | ||||
\(268\) | −2.32826 | − | 31.0685i | −0.142221 | − | 1.89781i | ||||
\(269\) | −1.03293 | − | 4.52556i | −0.0629789 | − | 0.275928i | 0.933627 | − | 0.358246i | \(-0.116625\pi\) |
−0.996606 | + | 0.0823174i | \(0.973768\pi\) | |||||||
\(270\) | 1.13684 | − | 2.89661i | 0.0691856 | − | 0.176282i | ||||
\(271\) | 1.53685 | − | 20.5079i | 0.0933573 | − | 1.24577i | −0.732059 | − | 0.681241i | \(-0.761440\pi\) |
0.825416 | − | 0.564525i | \(-0.190940\pi\) | |||||||
\(272\) | −2.61100 | + | 0.393544i | −0.158315 | + | 0.0238621i | ||||
\(273\) | −4.68730 | − | 4.34917i | −0.283688 | − | 0.263224i | ||||
\(274\) | −29.2750 | − | 14.0981i | −1.76857 | − | 0.851696i | ||||
\(275\) | −15.9523 | + | 10.8761i | −0.961960 | + | 0.655853i | ||||
\(276\) | 28.4659 | + | 72.5300i | 1.71345 | + | 4.36579i | ||||
\(277\) | 5.10712 | − | 1.57534i | 0.306857 | − | 0.0946529i | −0.137502 | − | 0.990501i | \(-0.543907\pi\) |
0.444359 | + | 0.895849i | \(0.353431\pi\) | |||||||
\(278\) | −9.51932 | + | 8.83264i | −0.570931 | + | 0.529747i | ||||
\(279\) | −3.33190 | + | 4.17807i | −0.199476 | + | 0.250134i | ||||
\(280\) | −0.979541 | + | 1.22831i | −0.0585387 | + | 0.0734053i | ||||
\(281\) | 22.7627 | − | 21.1207i | 1.35791 | − | 1.25995i | 0.422507 | − | 0.906360i | \(-0.361150\pi\) |
0.935399 | − | 0.353593i | \(-0.115040\pi\) | |||||||
\(282\) | −47.5877 | + | 14.6789i | −2.83381 | + | 0.874113i | ||||
\(283\) | 1.91151 | + | 4.87045i | 0.113627 | + | 0.289518i | 0.976363 | − | 0.216137i | \(-0.0693459\pi\) |
−0.862735 | + | 0.505655i | \(0.831251\pi\) | |||||||
\(284\) | −36.4941 | + | 24.8812i | −2.16553 | + | 1.47643i | ||||
\(285\) | −7.43397 | − | 3.58001i | −0.440350 | − | 0.212062i | ||||
\(286\) | 35.8915 | + | 33.3025i | 2.12231 | + | 1.96922i | ||||
\(287\) | −0.475703 | + | 0.0717007i | −0.0280799 | + | 0.00423236i | ||||
\(288\) | 0.334026 | − | 4.45727i | 0.0196827 | − | 0.262647i | ||||
\(289\) | 0.365341 | − | 0.930874i | 0.0214906 | − | 0.0547573i | ||||
\(290\) | 2.13242 | + | 9.34273i | 0.125220 | + | 0.548624i | ||||
\(291\) | 0.647937 | + | 8.64612i | 0.0379828 | + | 0.506845i | ||||
\(292\) | 24.0780 | + | 7.42709i | 1.40906 | + | 0.434638i | ||||
\(293\) | −3.75128 | + | 1.80652i | −0.219152 | + | 0.105538i | −0.540239 | − | 0.841512i | \(-0.681666\pi\) |
0.321087 | + | 0.947050i | \(0.395952\pi\) | |||||||
\(294\) | −18.0486 | + | 31.2611i | −1.05262 | + | 1.82318i | ||||
\(295\) | −0.799606 | − | 1.38496i | −0.0465549 | − | 0.0806354i | ||||
\(296\) | −28.7744 | − | 19.6180i | −1.67248 | − | 1.14027i | ||||
\(297\) | 1.90574 | − | 8.34958i | 0.110582 | − | 0.484492i | ||||
\(298\) | 25.0440 | + | 3.77478i | 1.45076 | + | 0.218667i | ||||
\(299\) | 27.7501 | + | 34.7976i | 1.60483 | + | 2.01240i | ||||
\(300\) | −39.0558 | −2.25489 | ||||||||
\(301\) | −0.152224 | + | 3.82284i | −0.00877403 | + | 0.220345i | ||||
\(302\) | −3.37157 | −0.194012 | ||||||||
\(303\) | −16.0078 | − | 20.0732i | −0.919626 | − | 1.15317i | ||||
\(304\) | −15.0094 | − | 2.26230i | −0.860848 | − | 0.129752i | ||||
\(305\) | −1.04290 | + | 4.56925i | −0.0597164 | + | 0.261635i | ||||
\(306\) | −4.15983 | − | 2.83612i | −0.237802 | − | 0.162130i | ||||
\(307\) | −12.9487 | − | 22.4278i | −0.739020 | − | 1.28002i | −0.952937 | − | 0.303168i | \(-0.901956\pi\) |
0.213917 | − | 0.976852i | \(-0.431378\pi\) | |||||||
\(308\) | −4.61305 | + | 7.99004i | −0.262853 | + | 0.455275i | ||||
\(309\) | 24.9300 | − | 12.0056i | 1.41822 | − | 0.682977i | ||||
\(310\) | 3.71695 | + | 1.14653i | 0.211108 | + | 0.0651183i | ||||
\(311\) | −1.49653 | − | 19.9698i | −0.0848604 | − | 1.13238i | −0.863309 | − | 0.504675i | \(-0.831612\pi\) |
0.778449 | − | 0.627708i | \(-0.216007\pi\) | |||||||
\(312\) | 10.3291 | + | 45.2549i | 0.584772 | + | 2.56205i | ||||
\(313\) | −6.56781 | + | 16.7345i | −0.371235 | + | 0.945890i | 0.616161 | + | 0.787620i | \(0.288687\pi\) |
−0.987396 | + | 0.158270i | \(0.949408\pi\) | |||||||
\(314\) | 3.02934 | − | 40.4237i | 0.170956 | − | 2.28124i | ||||
\(315\) | −0.769160 | + | 0.115932i | −0.0433373 | + | 0.00653204i | ||||
\(316\) | −15.1300 | − | 14.0386i | −0.851129 | − | 0.789733i | ||||
\(317\) | −1.15849 | − | 0.557898i | −0.0650671 | − | 0.0313346i | 0.401067 | − | 0.916049i | \(-0.368639\pi\) |
−0.466134 | + | 0.884714i | \(0.654354\pi\) | |||||||
\(318\) | 26.2574 | − | 17.9020i | 1.47244 | − | 1.00389i | ||||
\(319\) | 9.63592 | + | 24.5519i | 0.539508 | + | 1.37464i | ||||
\(320\) | −6.31721 | + | 1.94860i | −0.353143 | + | 0.108930i | ||||
\(321\) | 17.6711 | − | 16.3964i | 0.986304 | − | 0.915157i | ||||
\(322\) | −8.00747 | + | 10.0410i | −0.446239 | + | 0.559566i | ||||
\(323\) | 3.58415 | − | 4.49438i | 0.199427 | − | 0.250074i | ||||
\(324\) | 30.0588 | − | 27.8904i | 1.66993 | − | 1.54947i | ||||
\(325\) | −21.3186 | + | 6.57592i | −1.18254 | + | 0.364766i | ||||
\(326\) | 13.8887 | + | 35.3879i | 0.769226 | + | 1.95996i | ||||
\(327\) | 21.0099 | − | 14.3243i | 1.16185 | − | 0.792135i | ||||
\(328\) | 3.14651 | + | 1.51528i | 0.173737 | + | 0.0836673i | ||||
\(329\) | −3.92949 | − | 3.64603i | −0.216640 | − | 0.201012i | ||||
\(330\) | 14.3153 | − | 2.15768i | 0.788030 | − | 0.118776i | ||||
\(331\) | 2.04486 | − | 27.2867i | 0.112396 | − | 1.49981i | −0.601111 | − | 0.799165i | \(-0.705275\pi\) |
0.713507 | − | 0.700648i | \(-0.247106\pi\) | |||||||
\(332\) | 19.8793 | − | 50.6516i | 1.09102 | − | 2.77987i | ||||
\(333\) | −3.83683 | − | 16.8102i | −0.210257 | − | 0.921196i | ||||
\(334\) | 0.511261 | + | 6.82231i | 0.0279750 | + | 0.373300i | ||||
\(335\) | −5.02840 | − | 1.55106i | −0.274731 | − | 0.0847433i | ||||
\(336\) | −3.13363 | + | 1.50908i | −0.170954 | + | 0.0823270i | ||||
\(337\) | 4.95049 | − | 8.57450i | 0.269670 | − | 0.467083i | −0.699106 | − | 0.715018i | \(-0.746419\pi\) |
0.968777 | + | 0.247935i | \(0.0797519\pi\) | |||||||
\(338\) | 12.6825 | + | 21.9668i | 0.689838 | + | 1.19483i | ||||
\(339\) | 36.0851 | + | 24.6024i | 1.95988 | + | 1.33622i | ||||
\(340\) | −0.532516 | + | 2.33311i | −0.0288797 | + | 0.126530i | ||||
\(341\) | 10.5861 | + | 1.59560i | 0.573272 | + | 0.0864068i | ||||
\(342\) | −18.0450 | − | 22.6277i | −0.975761 | − | 1.22357i | ||||
\(343\) | −7.96955 | −0.430315 | ||||||||
\(344\) | 16.5462 | − | 22.3071i | 0.892111 | − | 1.20272i | ||||
\(345\) | 13.1600 | 0.708512 | ||||||||
\(346\) | 17.7798 | + | 22.2951i | 0.955846 | + | 1.19859i | ||||
\(347\) | 27.2592 | + | 4.10866i | 1.46335 | + | 0.220564i | 0.831931 | − | 0.554879i | \(-0.187235\pi\) |
0.631418 | + | 0.775443i | \(0.282473\pi\) | |||||||
\(348\) | −11.8723 | + | 52.0158i | −0.636420 | + | 2.78834i | ||||
\(349\) | −9.72755 | − | 6.63213i | −0.520704 | − | 0.355010i | 0.274271 | − | 0.961652i | \(-0.411563\pi\) |
−0.794975 | + | 0.606643i | \(0.792516\pi\) | |||||||
\(350\) | −3.21881 | − | 5.57514i | −0.172052 | − | 0.298004i | ||||
\(351\) | 4.94811 | − | 8.57038i | 0.264111 | − | 0.457453i | ||||
\(352\) | −8.06767 | + | 3.88518i | −0.430008 | + | 0.207081i | ||||
\(353\) | −28.3682 | − | 8.75044i | −1.50989 | − | 0.465739i | −0.574244 | − | 0.818684i | \(-0.694704\pi\) |
−0.935644 | + | 0.352945i | \(0.885180\pi\) | |||||||
\(354\) | −1.01890 | − | 13.5963i | −0.0541539 | − | 0.722634i | ||||
\(355\) | 1.66004 | + | 7.27309i | 0.0881055 | + | 0.386016i | ||||
\(356\) | 15.2508 | − | 38.8584i | 0.808290 | − | 2.05949i | ||||
\(357\) | 0.0984351 | − | 1.31352i | 0.00520974 | − | 0.0695191i | ||||
\(358\) | −46.8168 | + | 7.05649i | −2.47434 | + | 0.372947i | ||||
\(359\) | −3.39707 | − | 3.15202i | −0.179290 | − | 0.166357i | 0.585422 | − | 0.810728i | \(-0.300929\pi\) |
−0.764713 | + | 0.644371i | \(0.777119\pi\) | |||||||
\(360\) | 5.08756 | + | 2.45004i | 0.268138 | + | 0.129128i | ||||
\(361\) | 11.6050 | − | 7.91218i | 0.610791 | − | 0.416430i | ||||
\(362\) | 3.21459 | + | 8.19064i | 0.168955 | + | 0.430490i | ||||
\(363\) | 14.3436 | − | 4.42442i | 0.752844 | − | 0.232222i | ||||
\(364\) | −7.81502 | + | 7.25128i | −0.409619 | + | 0.380070i | ||||
\(365\) | 2.65348 | − | 3.32736i | 0.138890 | − | 0.174162i | ||||
\(366\) | −24.9133 | + | 31.2403i | −1.30224 | + | 1.63296i | ||||
\(367\) | 4.75159 | − | 4.40883i | 0.248031 | − | 0.230139i | −0.546353 | − | 0.837555i | \(-0.683984\pi\) |
0.794384 | + | 0.607416i | \(0.207794\pi\) | |||||||
\(368\) | 23.1340 | − | 7.13589i | 1.20594 | − | 0.371984i | ||||
\(369\) | 0.631712 | + | 1.60958i | 0.0328856 | + | 0.0837912i | ||||
\(370\) | −10.3697 | + | 7.06997i | −0.539097 | + | 0.367550i | ||||
\(371\) | 3.08196 | + | 1.48419i | 0.160007 | + | 0.0770554i | ||||
\(372\) | 15.8752 | + | 14.7300i | 0.823090 | + | 0.763716i | ||||
\(373\) | 32.1139 | − | 4.84040i | 1.66280 | − | 0.250626i | 0.750712 | − | 0.660630i | \(-0.229711\pi\) |
0.912084 | + | 0.410003i | \(0.134472\pi\) | |||||||
\(374\) | −0.753736 | + | 10.0579i | −0.0389748 | + | 0.520082i | ||||
\(375\) | −5.03192 | + | 12.8211i | −0.259847 | + | 0.662080i | ||||
\(376\) | 8.65919 | + | 37.9384i | 0.446564 | + | 1.95652i | ||||
\(377\) | 2.27755 | + | 30.3917i | 0.117300 | + | 1.56525i | ||||
\(378\) | 2.72875 | + | 0.841707i | 0.140352 | + | 0.0432927i | ||||
\(379\) | −6.57226 | + | 3.16503i | −0.337594 | + | 0.162577i | −0.594998 | − | 0.803727i | \(-0.702847\pi\) |
0.257404 | + | 0.966304i | \(0.417133\pi\) | |||||||
\(380\) | −6.87842 | + | 11.9138i | −0.352856 | + | 0.611164i | ||||
\(381\) | −9.39669 | − | 16.2755i | −0.481407 | − | 0.833821i | ||||
\(382\) | 34.4692 | + | 23.5007i | 1.76360 | + | 1.20240i | ||||
\(383\) | −1.07614 | + | 4.71486i | −0.0549880 | + | 0.240918i | −0.994952 | − | 0.100357i | \(-0.968002\pi\) |
0.939963 | + | 0.341275i | \(0.110859\pi\) | |||||||
\(384\) | −46.2163 | − | 6.96598i | −2.35846 | − | 0.355481i | ||||
\(385\) | 0.971578 | + | 1.21832i | 0.0495162 | + | 0.0620913i | ||||
\(386\) | 33.7478 | 1.71772 | ||||||||
\(387\) | 13.5174 | − | 2.52407i | 0.687131 | − | 0.128306i | ||||
\(388\) | 14.4559 | 0.733887 | ||||||||
\(389\) | −9.24280 | − | 11.5901i | −0.468628 | − | 0.587642i | 0.490206 | − | 0.871607i | \(-0.336921\pi\) |
−0.958835 | + | 0.283965i | \(0.908350\pi\) | |||||||
\(390\) | 16.5416 | + | 2.49324i | 0.837615 | + | 0.126250i | ||||
\(391\) | −2.04020 | + | 8.93871i | −0.103177 | + | 0.452050i | ||||
\(392\) | 23.3053 | + | 15.8893i | 1.17710 | + | 0.802530i | ||||
\(393\) | −14.8381 | − | 25.7003i | −0.748481 | − | 1.29641i | ||||
\(394\) | −3.95417 | + | 6.84882i | −0.199208 | + | 0.345038i | ||||
\(395\) | −3.14083 | + | 1.51254i | −0.158032 | + | 0.0761042i | ||||
\(396\) | 31.6876 | + | 9.77432i | 1.59236 | + | 0.491178i | ||||
\(397\) | 1.53909 | + | 20.5377i | 0.0772445 | + | 1.03076i | 0.892321 | + | 0.451402i | \(0.149076\pi\) |
−0.815076 | + | 0.579354i | \(0.803305\pi\) | |||||||
\(398\) | −2.72946 | − | 11.9586i | −0.136816 | − | 0.599429i | ||||
\(399\) | 2.76637 | − | 7.04859i | 0.138492 | − | 0.352871i | ||||
\(400\) | −0.906862 | + | 12.1012i | −0.0453431 | + | 0.605062i | ||||
\(401\) | 16.4142 | − | 2.47404i | 0.819685 | − | 0.123548i | 0.274205 | − | 0.961671i | \(-0.411585\pi\) |
0.545480 | + | 0.838124i | \(0.316347\pi\) | |||||||
\(402\) | −32.8875 | − | 30.5151i | −1.64028 | − | 1.52196i | ||||
\(403\) | 11.1456 | + | 5.36743i | 0.555201 | + | 0.267371i | ||||
\(404\) | −35.3685 | + | 24.1138i | −1.75965 | + | 1.19971i | ||||
\(405\) | −2.53026 | − | 6.44698i | −0.125729 | − | 0.320353i | ||||
\(406\) | −8.40360 | + | 2.59217i | −0.417064 | + | 0.128647i | ||||
\(407\) | −25.3215 | + | 23.4949i | −1.25514 | + | 1.16460i | ||||
\(408\) | −5.96196 | + | 7.47606i | −0.295161 | + | 0.370120i | ||||
\(409\) | −2.35099 | + | 2.94805i | −0.116249 | + | 0.145771i | −0.836551 | − | 0.547889i | \(-0.815432\pi\) |
0.720302 | + | 0.693660i | \(0.244003\pi\) | |||||||
\(410\) | 0.922605 | − | 0.856053i | 0.0455642 | − | 0.0422774i | ||||
\(411\) | −29.1972 | + | 9.00615i | −1.44019 | + | 0.444240i | ||||
\(412\) | −16.8546 | − | 42.9448i | −0.830366 | − | 2.11574i | ||||
\(413\) | 1.21258 | − | 0.826726i | 0.0596674 | − | 0.0406805i | ||||
\(414\) | 41.5894 | + | 20.0284i | 2.04401 | + | 0.984342i | ||||
\(415\) | −6.73700 | − | 6.25102i | −0.330706 | − | 0.306851i | ||||
\(416\) | −10.2315 | + | 1.54214i | −0.501638 | + | 0.0756098i | ||||
\(417\) | −0.912552 | + | 12.1772i | −0.0446879 | + | 0.596318i | ||||
\(418\) | −21.1826 | + | 53.9724i | −1.03607 | + | 2.63987i | ||||
\(419\) | −7.25196 | − | 31.7729i | −0.354282 | − | 1.55221i | −0.767180 | − | 0.641432i | \(-0.778341\pi\) |
0.412899 | − | 0.910777i | \(-0.364516\pi\) | |||||||
\(420\) | 0.235566 | + | 3.14340i | 0.0114944 | + | 0.153382i | ||||
\(421\) | 6.41251 | + | 1.97800i | 0.312527 | + | 0.0964017i | 0.447051 | − | 0.894509i | \(-0.352474\pi\) |
−0.134524 | + | 0.990910i | \(0.542951\pi\) | |||||||
\(422\) | 45.5791 | − | 21.9497i | 2.21875 | − | 1.06850i | ||||
\(423\) | −9.63337 | + | 16.6855i | −0.468390 | + | 0.811276i | ||||
\(424\) | −12.4163 | − | 21.5056i | −0.602988 | − | 1.04441i | ||||
\(425\) | −3.79723 | − | 2.58891i | −0.184193 | − | 0.125581i | ||||
\(426\) | −14.1530 | + | 62.0082i | −0.685713 | + | 3.00430i | ||||
\(427\) | −4.25300 | − | 0.641036i | −0.205817 | − | 0.0310219i | ||||
\(428\) | −25.0591 | − | 31.4232i | −1.21128 | − | 1.51890i | ||||
\(429\) | 46.0413 | 2.22290 | ||||||||
\(430\) | −5.30485 | − | 8.48774i | −0.255822 | − | 0.409315i | ||||
\(431\) | −18.7558 | −0.903437 | −0.451719 | − | 0.892160i | \(-0.649189\pi\) | ||||
−0.451719 | + | 0.892160i | \(0.649189\pi\) | |||||||
\(432\) | −3.35621 | − | 4.20856i | −0.161476 | − | 0.202484i | ||||
\(433\) | 16.8712 | + | 2.54293i | 0.810779 | + | 0.122205i | 0.541331 | − | 0.840810i | \(-0.317921\pi\) |
0.269448 | + | 0.963015i | \(0.413159\pi\) | |||||||
\(434\) | −0.794317 | + | 3.48013i | −0.0381284 | + | 0.167052i | ||||
\(435\) | 7.44557 | + | 5.07630i | 0.356988 | + | 0.243390i | ||||
\(436\) | −21.1981 | − | 36.7161i | −1.01520 | − | 1.75838i | ||||
\(437\) | −26.3530 | + | 45.6447i | −1.26063 | + | 2.18348i | ||||
\(438\) | 32.6909 | − | 15.7431i | 1.56203 | − | 0.752234i | ||||
\(439\) | −29.4338 | − | 9.07913i | −1.40480 | − | 0.433323i | −0.502554 | − | 0.864546i | \(-0.667606\pi\) |
−0.902246 | + | 0.431222i | \(0.858082\pi\) | |||||||
\(440\) | −0.845374 | − | 11.2807i | −0.0403016 | − | 0.537788i | ||||
\(441\) | 3.10758 | + | 13.6152i | 0.147980 | + | 0.648342i | ||||
\(442\) | −4.25794 | + | 10.8490i | −0.202529 | + | 0.516036i | ||||
\(443\) | −2.18362 | + | 29.1383i | −0.103747 | + | 1.38440i | 0.665951 | + | 0.745996i | \(0.268026\pi\) |
−0.769697 | + | 0.638409i | \(0.779593\pi\) | |||||||
\(444\) | −69.0948 | + | 10.4144i | −3.27909 | + | 0.494244i | ||||
\(445\) | −5.16843 | − | 4.79560i | −0.245007 | − | 0.227333i | ||||
\(446\) | 6.65606 | + | 3.20539i | 0.315174 | + | 0.151780i | ||||
\(447\) | 19.6779 | − | 13.4162i | 0.930732 | − | 0.634562i | ||||
\(448\) | −2.21646 | − | 5.64745i | −0.104718 | − | 0.266817i | ||||
\(449\) | −8.25276 | + | 2.54564i | −0.389472 | + | 0.120136i | −0.483305 | − | 0.875452i | \(-0.660564\pi\) |
0.0938339 | + | 0.995588i | \(0.470088\pi\) | |||||||
\(450\) | −16.9616 | + | 15.7380i | −0.799577 | + | 0.741899i | ||||
\(451\) | 2.15975 | − | 2.70824i | 0.101699 | − | 0.127526i | ||||
\(452\) | 45.4004 | − | 56.9303i | 2.13546 | − | 2.67778i | ||||
\(453\) | −2.32411 | + | 2.15646i | −0.109196 | + | 0.101319i | ||||
\(454\) | −51.6669 | + | 15.9371i | −2.42485 | + | 0.747966i | ||||
\(455\) | 0.657845 | + | 1.67616i | 0.0308403 | + | 0.0785797i | ||||
\(456\) | −45.4174 | + | 30.9650i | −2.12686 | + | 1.45007i | ||||
\(457\) | −9.78754 | − | 4.71343i | −0.457842 | − | 0.220485i | 0.190724 | − | 0.981644i | \(-0.438916\pi\) |
−0.648566 | + | 0.761159i | \(0.724631\pi\) | |||||||
\(458\) | 10.2505 | + | 9.51110i | 0.478976 | + | 0.444425i | ||||
\(459\) | 2.01585 | − | 0.303840i | 0.0940918 | − | 0.0141820i | ||||
\(460\) | 1.63968 | − | 21.8801i | 0.0764506 | − | 1.02016i | ||||
\(461\) | −1.95610 | + | 4.98407i | −0.0911047 | + | 0.232131i | −0.969162 | − | 0.246425i | \(-0.920744\pi\) |
0.878057 | + | 0.478556i | \(0.158839\pi\) | |||||||
\(462\) | 2.95630 | + | 12.9524i | 0.137540 | + | 0.602601i | ||||
\(463\) | 1.11509 | + | 14.8798i | 0.0518226 | + | 0.691525i | 0.961253 | + | 0.275668i | \(0.0888992\pi\) |
−0.909430 | + | 0.415857i | \(0.863482\pi\) | |||||||
\(464\) | 15.8411 | + | 4.88634i | 0.735406 | + | 0.226843i | ||||
\(465\) | 3.29552 | − | 1.58704i | 0.152826 | − | 0.0735971i | ||||
\(466\) | 13.4449 | − | 23.2872i | 0.622823 | − | 1.07876i | ||||
\(467\) | 20.1373 | + | 34.8788i | 0.931842 | + | 1.61400i | 0.780171 | + | 0.625566i | \(0.215132\pi\) |
0.151670 | + | 0.988431i | \(0.451535\pi\) | |||||||
\(468\) | 31.6598 | + | 21.5853i | 1.46347 | + | 0.997779i | ||||
\(469\) | 1.07458 | − | 4.70803i | 0.0496193 | − | 0.217397i | ||||
\(470\) | 13.8673 | + | 2.09015i | 0.639649 | + | 0.0964115i | ||||
\(471\) | −23.7669 | − | 29.8028i | −1.09512 | − | 1.37324i | ||||
\(472\) | −10.6540 | −0.490389 | ||||||||
\(473\) | −17.9191 | − | 20.9237i | −0.823921 | − | 0.962071i | ||||
\(474\) | −29.7210 | −1.36513 | ||||||||
\(475\) | −16.4721 | − | 20.6553i | −0.755790 | − | 0.947730i | ||||
\(476\) | −2.17162 | − | 0.327319i | −0.0995361 | − | 0.0150027i | ||||
\(477\) | 2.73586 | − | 11.9866i | 0.125267 | − | 0.548828i | ||||
\(478\) | 9.64181 | + | 6.57368i | 0.441006 | + | 0.300673i | ||||
\(479\) | 5.21812 | + | 9.03804i | 0.238422 | + | 0.412959i | 0.960262 | − | 0.279101i | \(-0.0900366\pi\) |
−0.721840 | + | 0.692060i | \(0.756703\pi\) | |||||||
\(480\) | −1.52970 | + | 2.64952i | −0.0698209 | + | 0.120933i | ||||
\(481\) | −35.9619 | + | 17.3183i | −1.63972 | + | 0.789647i | ||||
\(482\) | −37.6073 | − | 11.6003i | −1.71297 | − | 0.528380i | ||||
\(483\) | 0.902511 | + | 12.0432i | 0.0410657 | + | 0.547983i | ||||
\(484\) | −5.56895 | − | 24.3992i | −0.253134 | − | 1.10905i | ||||
\(485\) | 0.892018 | − | 2.27282i | 0.0405044 | − | 0.103204i | ||||
\(486\) | 3.31528 | − | 44.2393i | 0.150384 | − | 2.00674i | ||||
\(487\) | 22.3880 | − | 3.37444i | 1.01450 | − | 0.152911i | 0.379309 | − | 0.925270i | \(-0.376162\pi\) |
0.635186 | + | 0.772359i | \(0.280924\pi\) | |||||||
\(488\) | 22.8883 | + | 21.2372i | 1.03610 | + | 0.961363i | ||||
\(489\) | 32.2081 | + | 15.5106i | 1.45650 | + | 0.701414i | ||||
\(490\) | 8.39879 | − | 5.72620i | 0.379419 | − | 0.258683i | ||||
\(491\) | 11.8539 | + | 30.2033i | 0.534960 | + | 1.36305i | 0.901551 | + | 0.432673i | \(0.142429\pi\) |
−0.366591 | + | 0.930382i | \(0.619475\pi\) | |||||||
\(492\) | 6.69586 | − | 2.06540i | 0.301873 | − | 0.0931153i | ||||
\(493\) | −4.60228 | + | 4.27029i | −0.207276 | + | 0.192324i | ||||
\(494\) | −41.7722 | + | 52.3806i | −1.87942 | + | 2.35672i | ||||
\(495\) | 3.49208 | − | 4.37893i | 0.156957 | − | 0.196818i | ||||
\(496\) | 4.93263 | − | 4.57681i | 0.221482 | − | 0.205505i | ||||
\(497\) | −6.54200 | + | 2.01794i | −0.293449 | + | 0.0905170i | ||||
\(498\) | −28.6260 | − | 72.9378i | −1.28276 | − | 3.26842i | ||||
\(499\) | −13.1485 | + | 8.96446i | −0.588606 | + | 0.401304i | −0.820675 | − | 0.571395i | \(-0.806403\pi\) |
0.232070 | + | 0.972699i | \(0.425450\pi\) | |||||||
\(500\) | 20.6896 | + | 9.96361i | 0.925269 | + | 0.445586i | ||||
\(501\) | 4.71599 | + | 4.37580i | 0.210695 | + | 0.195496i | ||||
\(502\) | 43.4315 | − | 6.54624i | 1.93844 | − | 0.292173i | ||||
\(503\) | −0.586669 | + | 7.82855i | −0.0261583 | + | 0.349058i | 0.968733 | + | 0.248106i | \(0.0798080\pi\) |
−0.994891 | + | 0.100952i | \(0.967811\pi\) | |||||||
\(504\) | −1.89321 | + | 4.82382i | −0.0843302 | + | 0.214870i | ||||
\(505\) | 1.60884 | + | 7.04877i | 0.0715922 | + | 0.313666i | ||||
\(506\) | −6.91069 | − | 92.2168i | −0.307218 | − | 4.09954i | ||||
\(507\) | 22.7924 | + | 7.03052i | 1.01225 | + | 0.312236i | ||||
\(508\) | −28.2308 | + | 13.5952i | −1.25254 | + | 0.603190i | ||||
\(509\) | 10.0517 | − | 17.4101i | 0.445535 | − | 0.771689i | −0.552554 | − | 0.833477i | \(-0.686347\pi\) |
0.998089 | + | 0.0617877i | \(0.0196802\pi\) | |||||||
\(510\) | 1.72302 | + | 2.98437i | 0.0762968 | + | 0.132150i | ||||
\(511\) | 3.22695 | + | 2.20010i | 0.142752 | + | 0.0973267i | ||||
\(512\) | −6.22960 | + | 27.2936i | −0.275312 | + | 1.20622i | ||||
\(513\) | 11.5882 | + | 1.74664i | 0.511630 | + | 0.0771158i | ||||
\(514\) | 4.43891 | + | 5.56622i | 0.195792 | + | 0.245515i | ||||
\(515\) | −7.79201 | −0.343357 | ||||||||
\(516\) | −6.10650 | − | 55.3905i | −0.268824 | − | 2.43843i | ||||
\(517\) | 38.5977 | 1.69753 | ||||||||
\(518\) | −7.18111 | − | 9.00483i | −0.315520 | − | 0.395650i | ||||
\(519\) | 26.5161 | + | 3.99666i | 1.16393 | + | 0.175434i | ||||
\(520\) | 2.90872 | − | 12.7439i | 0.127556 | − | 0.558858i | ||||
\(521\) | 8.29140 | + | 5.65298i | 0.363253 | + | 0.247662i | 0.731168 | − | 0.682198i | \(-0.238976\pi\) |
−0.367915 | + | 0.929860i | \(0.619928\pi\) | |||||||
\(522\) | 15.8044 | + | 27.3741i | 0.691741 | + | 1.19813i | ||||
\(523\) | 12.0756 | − | 20.9155i | 0.528029 | − | 0.914573i | −0.471437 | − | 0.881900i | \(-0.656265\pi\) |
0.999466 | − | 0.0326733i | \(-0.0104021\pi\) | |||||||
\(524\) | −44.5785 | + | 21.4679i | −1.94742 | + | 0.937827i | ||||
\(525\) | −5.78468 | − | 1.78434i | −0.252464 | − | 0.0778749i | ||||
\(526\) | 2.02061 | + | 26.9632i | 0.0881029 | + | 1.17565i | ||||
\(527\) | 0.567062 | + | 2.48446i | 0.0247016 | + | 0.108225i | ||||
\(528\) | 9.14950 | − | 23.3125i | 0.398181 | − | 1.01455i | ||||
\(529\) | 4.56325 | − | 60.8923i | 0.198402 | − | 2.64749i | ||||
\(530\) | −8.84924 | + | 1.33381i | −0.384386 | + | 0.0579369i | ||||
\(531\) | −3.86677 | − | 3.58783i | −0.167803 | − | 0.155699i | ||||
\(532\) | −11.3744 | − | 5.47763i | −0.493143 | − | 0.237485i | ||||
\(533\) | 3.30717 | − | 2.25479i | 0.143250 | − | 0.0976659i | ||||
\(534\) | −21.9610 | − | 55.9557i | −0.950345 | − | 2.42144i | ||||
\(535\) | −6.48679 | + | 2.00091i | −0.280449 | + | 0.0865069i | ||||
\(536\) | −25.6984 | + | 23.8446i | −1.11000 | + | 1.02993i | ||||
\(537\) | −27.7587 | + | 34.8084i | −1.19788 | + | 1.50209i | ||||
\(538\) | −6.94859 | + | 8.71326i | −0.299575 | + | 0.375655i | ||||
\(539\) | 20.5087 | − | 19.0293i | 0.883374 | − | 0.819651i | ||||
\(540\) | −4.66189 | + | 1.43800i | −0.200616 | + | 0.0618817i | ||||
\(541\) | −13.9711 | − | 35.5979i | −0.600666 | − | 1.53047i | −0.830371 | − | 0.557212i | \(-0.811871\pi\) |
0.229705 | − | 0.973260i | \(-0.426224\pi\) | |||||||
\(542\) | −40.7953 | + | 27.8138i | −1.75231 | + | 1.19470i | ||||
\(543\) | 7.45466 | + | 3.58997i | 0.319910 | + | 0.154060i | ||||
\(544\) | −1.56249 | − | 1.44978i | −0.0669911 | − | 0.0621587i | ||||
\(545\) | −7.08072 | + | 1.06725i | −0.303305 | + | 0.0457159i | ||||
\(546\) | −1.14723 | + | 15.3087i | −0.0490969 | + | 0.655153i | ||||
\(547\) | −8.15511 | + | 20.7789i | −0.348687 | + | 0.888441i | 0.643699 | + | 0.765279i | \(0.277399\pi\) |
−0.992387 | + | 0.123162i | \(0.960696\pi\) | |||||||
\(548\) | 11.3359 | + | 49.6659i | 0.484246 | + | 2.12162i | ||||
\(549\) | 1.15525 | + | 15.4157i | 0.0493048 | + | 0.657927i | ||||
\(550\) | 44.2944 | + | 13.6630i | 1.88872 | + | 0.582593i | ||||
\(551\) | −32.5166 | + | 15.6592i | −1.38525 | + | 0.667103i | ||||
\(552\) | 43.8361 | − | 75.9264i | 1.86579 | − | 3.23164i | ||||
\(553\) | −1.59957 | − | 2.77054i | −0.0680208 | − | 0.117815i | ||||
\(554\) | −10.6019 | − | 7.22828i | −0.450433 | − | 0.307100i | ||||
\(555\) | −2.62618 | + | 11.5060i | −0.111475 | + | 0.488404i | ||||
\(556\) | 20.1322 | + | 3.03445i | 0.853797 | + | 0.128689i | ||||
\(557\) | 14.7640 | + | 18.5135i | 0.625571 | + | 0.784441i | 0.989116 | − | 0.147135i | \(-0.0470053\pi\) |
−0.363545 | + | 0.931576i | \(0.618434\pi\) | |||||||
\(558\) | 12.8301 | 0.543141 | ||||||||
\(559\) | −12.6595 | − | 29.2067i | −0.535438 | − | 1.23531i | ||||
\(560\) | 0.979436 | 0.0413887 | ||||||||
\(561\) | 5.91349 | + | 7.41528i | 0.249668 | + | 0.313073i | ||||
\(562\) | −73.7187 | − | 11.1113i | −3.10964 | − | 0.468702i | ||||
\(563\) | 5.48768 | − | 24.0431i | 0.231278 | − | 1.01330i | −0.717303 | − | 0.696762i | \(-0.754623\pi\) |
0.948581 | − | 0.316535i | \(-0.102519\pi\) | |||||||
\(564\) | 64.5112 | + | 43.9830i | 2.71641 | + | 1.85202i | ||||
\(565\) | −6.14937 | − | 10.6510i | −0.258706 | − | 0.448091i | ||||
\(566\) | 6.28081 | − | 10.8787i | 0.264002 | − | 0.457265i | ||||
\(567\) | 5.72632 | − | 2.75765i | 0.240483 | − | 0.115811i | ||||
\(568\) | 47.4915 | + | 14.6492i | 1.99270 | + | 0.614666i | ||||
\(569\) | −1.89017 | − | 25.2226i | −0.0792401 | − | 1.05739i | −0.885137 | − | 0.465330i | \(-0.845936\pi\) |
0.805897 | − | 0.592056i | \(-0.201684\pi\) | |||||||
\(570\) | 4.40808 | + | 19.3130i | 0.184634 | + | 0.808935i | ||||
\(571\) | 0.0379569 | − | 0.0967127i | 0.00158845 | − | 0.00404730i | −0.930077 | − | 0.367364i | \(-0.880260\pi\) |
0.931666 | + | 0.363317i | \(0.118356\pi\) | |||||||
\(572\) | 5.73656 | − | 76.5490i | 0.239858 | − | 3.20068i | ||||
\(573\) | 38.7917 | − | 5.84691i | 1.62055 | − | 0.244258i | ||||
\(574\) | 0.846674 | + | 0.785599i | 0.0353395 | + | 0.0327903i | ||||
\(575\) | 37.9642 | + | 18.2826i | 1.58321 | + | 0.762436i | ||||
\(576\) | −18.0166 | + | 12.2835i | −0.750693 | + | 0.511814i | ||||
\(577\) | −9.47613 | − | 24.1448i | −0.394497 | − | 1.00516i | −0.980791 | − | 0.195063i | \(-0.937509\pi\) |
0.586294 | − | 0.810098i | \(-0.300586\pi\) | |||||||
\(578\) | −2.29420 | + | 0.707667i | −0.0954261 | + | 0.0294351i | ||||
\(579\) | 23.2633 | − | 21.5852i | 0.966790 | − | 0.897050i | ||||
\(580\) | 9.36763 | − | 11.7466i | 0.388970 | − | 0.487752i | ||||
\(581\) | 5.25849 | − | 6.59394i | 0.218159 | − | 0.273563i | ||||
\(582\) | 15.2595 | − | 14.1587i | 0.632525 | − | 0.586898i | ||||
\(583\) | −23.5364 | + | 7.26003i | −0.974779 | + | 0.300680i | ||||
\(584\) | −10.3584 | − | 26.3927i | −0.428632 | − | 1.09214i | ||||
\(585\) | 5.34734 | − | 3.64575i | 0.221085 | − | 0.150733i | ||||
\(586\) | 9.00631 | + | 4.33721i | 0.372047 | + | 0.179168i | ||||
\(587\) | −19.7975 | − | 18.3694i | −0.817132 | − | 0.758187i | 0.156167 | − | 0.987731i | \(-0.450086\pi\) |
−0.973298 | + | 0.229543i | \(0.926277\pi\) | |||||||
\(588\) | 55.9621 | − | 8.43494i | 2.30784 | − | 0.347851i | ||||
\(589\) | −1.09474 | + | 14.6083i | −0.0451081 | + | 0.601926i | ||||
\(590\) | −1.40272 | + | 3.57408i | −0.0577492 | + | 0.147143i | ||||
\(591\) | 1.65480 | + | 7.25017i | 0.0680695 | + | 0.298232i | ||||
\(592\) | 1.62248 | + | 21.6505i | 0.0666834 | + | 0.889828i | ||||
\(593\) | −20.3583 | − | 6.27970i | −0.836015 | − | 0.257877i | −0.152950 | − | 0.988234i | \(-0.548877\pi\) |
−0.683065 | + | 0.730357i | \(0.739354\pi\) | |||||||
\(594\) | −18.5255 | + | 8.92140i | −0.760109 | + | 0.366049i | ||||
\(595\) | −0.185465 | + | 0.321235i | −0.00760332 | + | 0.0131693i | ||||
\(596\) | −19.8541 | − | 34.3884i | −0.813257 | − | 1.40860i | ||||
\(597\) | −9.53022 | − | 6.49759i | −0.390046 | − | 0.265929i | ||||
\(598\) | 23.7779 | − | 104.178i | 0.972352 | − | 4.26015i | ||||
\(599\) | 0.200873 | + | 0.0302767i | 0.00820743 | + | 0.00123707i | 0.153145 | − | 0.988204i | \(-0.451060\pi\) |
−0.144937 | + | 0.989441i | \(0.546298\pi\) | |||||||
\(600\) | 27.4000 | + | 34.3585i | 1.11860 | + | 1.40268i | ||||
\(601\) | −21.3498 | −0.870877 | −0.435439 | − | 0.900218i | \(-0.643407\pi\) | ||||
−0.435439 | + | 0.900218i | \(0.643407\pi\) | |||||||
\(602\) | 7.40361 | − | 5.43673i | 0.301749 | − | 0.221585i | ||||
\(603\) | −17.3569 | −0.706829 | ||||||||
\(604\) | 3.29579 | + | 4.13279i | 0.134104 | + | 0.168161i | ||||
\(605\) | −4.17979 | − | 0.630002i | −0.169933 | − | 0.0256132i | ||||
\(606\) | −13.7164 | + | 60.0956i | −0.557192 | + | 2.44122i | ||||
\(607\) | 20.3221 | + | 13.8554i | 0.824849 | + | 0.562372i | 0.900547 | − | 0.434758i | \(-0.143166\pi\) |
−0.0756984 | + | 0.997131i | \(0.524119\pi\) | |||||||
\(608\) | −6.12645 | − | 10.6113i | −0.248460 | − | 0.430346i | ||||
\(609\) | −4.13488 | + | 7.16182i | −0.167554 | + | 0.290211i | ||||
\(610\) | 10.1379 | − | 4.88218i | 0.410473 | − | 0.197674i | ||||
\(611\) | 42.6189 | + | 13.1462i | 1.72418 | + | 0.531838i | ||||
\(612\) | 0.589881 | + | 7.87142i | 0.0238445 | + | 0.318183i | ||||
\(613\) | 4.36971 | + | 19.1449i | 0.176491 | + | 0.773257i | 0.983233 | + | 0.182354i | \(0.0583715\pi\) |
−0.806742 | + | 0.590904i | \(0.798771\pi\) | |||||||
\(614\) | −22.7154 | + | 57.8780i | −0.916721 | + | 2.33577i | ||||
\(615\) | 0.0884438 | − | 1.18020i | 0.00356640 | − | 0.0475903i | ||||
\(616\) | 10.2654 | − | 1.54726i | 0.413605 | − | 0.0623408i | ||||
\(617\) | 13.9359 | + | 12.9306i | 0.561039 | + | 0.520568i | 0.908920 | − | 0.416971i | \(-0.136908\pi\) |
−0.347881 | + | 0.937539i | \(0.613099\pi\) | |||||||
\(618\) | −59.8534 | − | 28.8239i | −2.40766 | − | 1.15947i | ||||
\(619\) | −7.79410 | + | 5.31393i | −0.313272 | + | 0.213585i | −0.709740 | − | 0.704463i | \(-0.751188\pi\) |
0.396469 | + | 0.918048i | \(0.370235\pi\) | |||||||
\(620\) | −2.22802 | − | 5.67691i | −0.0894796 | − | 0.227990i | ||||
\(621\) | −17.8609 | + | 5.50934i | −0.716731 | + | 0.221082i | ||||
\(622\) | −35.2446 | + | 32.7022i | −1.41318 | + | 1.31124i | ||||
\(623\) | 4.03416 | − | 5.05868i | 0.161625 | − | 0.202672i | ||||
\(624\) | 18.0428 | − | 22.6250i | 0.722292 | − | 0.905726i | ||||
\(625\) | −14.0016 | + | 12.9916i | −0.560065 | + | 0.519664i | ||||
\(626\) | 41.2433 | − | 12.7219i | 1.64841 | − | 0.508468i | ||||
\(627\) | 19.9191 | + | 50.7531i | 0.795493 | + | 2.02688i | ||||
\(628\) | −52.5118 | + | 35.8019i | −2.09545 | + | 1.42865i | ||||
\(629\) | −7.40813 | − | 3.56757i | −0.295382 | − | 0.142248i | ||||
\(630\) | 1.36898 | + | 1.27023i | 0.0545414 | + | 0.0506070i | ||||
\(631\) | −11.1595 | + | 1.68203i | −0.444254 | + | 0.0669606i | −0.367360 | − | 0.930079i | \(-0.619738\pi\) |
−0.0768941 | + | 0.997039i | \(0.524500\pi\) | |||||||
\(632\) | −1.73554 | + | 23.1592i | −0.0690361 | + | 0.921223i | ||||
\(633\) | 17.3798 | − | 44.2830i | 0.690785 | − | 1.76009i | ||||
\(634\) | 0.686941 | + | 3.00968i | 0.0272819 | + | 0.119530i | ||||
\(635\) | 0.395492 | + | 5.27748i | 0.0156946 | + | 0.209430i | ||||
\(636\) | −47.6112 | − | 14.6861i | −1.88791 | − | 0.582342i | ||||
\(637\) | 29.1267 | − | 14.0267i | 1.15404 | − | 0.555757i | ||||
\(638\) | 31.6615 | − | 54.8394i | 1.25349 | − | 2.17111i | ||||
\(639\) | 12.3034 | + | 21.3100i | 0.486713 | + | 0.843012i | ||||
\(640\) | 10.8747 | + | 7.41422i | 0.429859 | + | 0.293073i | ||||
\(641\) | −6.97095 | + | 30.5417i | −0.275336 | + | 1.20632i | 0.628282 | + | 0.777986i | \(0.283758\pi\) |
−0.903618 | + | 0.428339i | \(0.859099\pi\) | |||||||
\(642\) | −57.2293 | − | 8.62592i | −2.25866 | − | 0.340438i | ||||
\(643\) | 5.28508 | + | 6.62728i | 0.208423 | + | 0.261355i | 0.875045 | − | 0.484042i | \(-0.160832\pi\) |
−0.666622 | + | 0.745396i | \(0.732260\pi\) | |||||||
\(644\) | 20.1356 | 0.793454 | ||||||||
\(645\) | −9.08556 | − | 2.45784i | −0.357743 | − | 0.0967774i | ||||
\(646\) | −13.8014 | −0.543010 | ||||||||
\(647\) | −13.7286 | − | 17.2151i | −0.539728 | − | 0.676797i | 0.434939 | − | 0.900460i | \(-0.356770\pi\) |
−0.974667 | + | 0.223663i | \(0.928199\pi\) | |||||||
\(648\) | −45.6240 | − | 6.87671i | −1.79228 | − | 0.270143i | ||||
\(649\) | −2.35146 | + | 10.3024i | −0.0923029 | + | 0.404405i | ||||
\(650\) | 44.2556 | + | 30.1729i | 1.73585 | + | 1.18348i | ||||
\(651\) | 1.67836 | + | 2.90700i | 0.0657799 | + | 0.113934i | ||||
\(652\) | 29.8012 | − | 51.6171i | 1.16710 | − | 2.02148i | ||||
\(653\) | 9.15615 | − | 4.40937i | 0.358308 | − | 0.172552i | −0.246066 | − | 0.969253i | \(-0.579138\pi\) |
0.604373 | + | 0.796701i | \(0.293424\pi\) | |||||||
\(654\) | −58.3377 | − | 17.9948i | −2.28118 | − | 0.703652i | ||||
\(655\) | 0.624511 | + | 8.33353i | 0.0244017 | + | 0.325618i | ||||
\(656\) | −0.484477 | − | 2.12263i | −0.0189156 | − | 0.0828749i | ||||
\(657\) | 5.12852 | − | 13.0673i | 0.200083 | − | 0.509803i | ||||
\(658\) | −0.961755 | + | 12.8337i | −0.0374931 | + | 0.500311i | ||||
\(659\) | 41.6793 | − | 6.28215i | 1.62360 | − | 0.244718i | 0.726699 | − | 0.686956i | \(-0.241053\pi\) |
0.896898 | + | 0.442238i | \(0.145815\pi\) | |||||||
\(660\) | −16.6384 | − | 15.4382i | −0.647648 | − | 0.600930i | ||||
\(661\) | −9.77248 | − | 4.70618i | −0.380105 | − | 0.183049i | 0.234068 | − | 0.972220i | \(-0.424796\pi\) |
−0.614173 | + | 0.789171i | \(0.710510\pi\) | |||||||
\(662\) | −54.2801 | + | 37.0075i | −2.10965 | + | 1.43834i | ||||
\(663\) | 4.00396 | + | 10.2019i | 0.155501 | + | 0.396210i | ||||
\(664\) | −58.5061 | + | 18.0467i | −2.27048 | + | 0.700349i | ||||
\(665\) | −1.56309 | + | 1.45033i | −0.0606140 | + | 0.0562415i | ||||
\(666\) | −25.8106 | + | 32.3655i | −1.00014 | + | 1.25414i | ||||
\(667\) | 35.8897 | − | 45.0043i | 1.38966 | − | 1.74257i | ||||
\(668\) | 7.86287 | − | 7.29567i | 0.304223 | − | 0.282278i | ||||
\(669\) | 6.63838 | − | 2.04767i | 0.256655 | − | 0.0791675i | ||||
\(670\) | 4.61564 | + | 11.7605i | 0.178318 | + | 0.454346i | ||||
\(671\) | 25.5881 | − | 17.4457i | 0.987819 | − | 0.673484i | ||||
\(672\) | −2.52957 | − | 1.21817i | −0.0975801 | − | 0.0469921i | ||||
\(673\) | −2.14823 | − | 1.99327i | −0.0828082 | − | 0.0768348i | 0.637683 | − | 0.770299i | \(-0.279893\pi\) |
−0.720491 | + | 0.693464i | \(0.756084\pi\) | |||||||
\(674\) | −23.5054 | + | 3.54287i | −0.905394 | + | 0.136466i | ||||
\(675\) | 0.700153 | − | 9.34289i | 0.0269489 | − | 0.359608i | ||||
\(676\) | 14.5289 | − | 37.0190i | 0.558804 | − | 1.42381i | ||||
\(677\) | 3.50238 | + | 15.3449i | 0.134607 | + | 0.589753i | 0.996568 | + | 0.0827780i | \(0.0263792\pi\) |
−0.861961 | + | 0.506975i | \(0.830764\pi\) | |||||||
\(678\) | −7.83584 | − | 104.562i | −0.300934 | − | 4.01568i | ||||
\(679\) | 2.14111 | + | 0.660445i | 0.0821683 | + | 0.0253456i | ||||
\(680\) | 2.42609 | − | 1.16834i | 0.0930363 | − | 0.0448039i | ||||
\(681\) | −25.4220 | + | 44.0321i | −0.974172 | + | 1.68731i | ||||
\(682\) | −12.8515 | − | 22.2594i | −0.492109 | − | 0.852357i | ||||
\(683\) | −0.793210 | − | 0.540802i | −0.0303514 | − | 0.0206932i | 0.548049 | − | 0.836446i | \(-0.315371\pi\) |
−0.578401 | + | 0.815753i | \(0.696323\pi\) | |||||||
\(684\) | −10.0971 | + | 44.2383i | −0.386072 | + | 1.69149i | ||||
\(685\) | 8.50819 | + | 1.28240i | 0.325081 | + | 0.0489981i | ||||
\(686\) | 11.9297 | + | 14.9594i | 0.455479 | + | 0.571153i | ||||
\(687\) | 13.1493 | 0.501677 | ||||||||
\(688\) | −17.3042 | + | 0.605918i | −0.659718 | + | 0.0231004i | ||||
\(689\) | −28.4612 | −1.08429 | ||||||||
\(690\) | −19.6994 | − | 24.7023i | −0.749944 | − | 0.940400i | ||||
\(691\) | −1.71829 | − | 0.258991i | −0.0653669 | − | 0.00985247i | 0.116277 | − | 0.993217i | \(-0.462904\pi\) |
−0.181644 | + | 0.983364i | \(0.558142\pi\) | |||||||
\(692\) | 9.94870 | − | 43.5881i | 0.378193 | − | 1.65697i | ||||
\(693\) | 4.24679 | + | 2.89541i | 0.161322 | + | 0.109988i | ||||
\(694\) | −33.0924 | − | 57.3177i | −1.25617 | − | 2.17575i | ||||
\(695\) | 1.71937 | − | 2.97804i | 0.0652195 | − | 0.112963i | ||||
\(696\) | 54.0888 | − | 26.0478i | 2.05023 | − | 0.987339i | ||||
\(697\) | 0.787919 | + | 0.243041i | 0.0298446 | + | 0.00920583i | ||||
\(698\) | 2.11232 | + | 28.1870i | 0.0799527 | + | 1.06689i | ||||
\(699\) | −5.62664 | − | 24.6519i | −0.212819 | − | 0.932421i | ||||
\(700\) | −3.68742 | + | 9.39538i | −0.139371 | + | 0.355112i | ||||
\(701\) | −1.63881 | + | 21.8683i | −0.0618968 | + | 0.825956i | 0.876721 | + | 0.480998i | \(0.159726\pi\) |
−0.938618 | + | 0.344958i | \(0.887893\pi\) | |||||||
\(702\) | −23.4941 | + | 3.54116i | −0.886727 | + | 0.133653i | ||||
\(703\) | −34.6490 | − | 32.1496i | −1.30681 | − | 1.21254i | ||||
\(704\) | 39.3579 | + | 18.9537i | 1.48336 | + | 0.714346i | ||||
\(705\) | 10.8959 | − | 7.42873i | 0.410365 | − | 0.279782i | ||||
\(706\) | 26.0396 | + | 66.3478i | 0.980013 | + | 2.49703i | ||||
\(707\) | −6.34023 | + | 1.95570i | −0.238449 | + | 0.0735517i | ||||
\(708\) | −15.6700 | + | 14.5396i | −0.588915 | + | 0.546433i | ||||
\(709\) | 18.9919 | − | 23.8151i | 0.713256 | − | 0.894395i | −0.284679 | − | 0.958623i | \(-0.591887\pi\) |
0.997935 | + | 0.0642280i | \(0.0204585\pi\) | |||||||
\(710\) | 11.1672 | − | 14.0032i | 0.419097 | − | 0.525530i | ||||
\(711\) | −8.42899 | + | 7.82096i | −0.316112 | + | 0.293309i | ||||
\(712\) | −44.8841 | + | 13.8449i | −1.68210 | + | 0.518860i | ||||
\(713\) | −8.53612 | − | 21.7497i | −0.319680 | − | 0.814532i | ||||
\(714\) | −2.61293 | + | 1.78146i | −0.0977863 | + | 0.0666696i | ||||
\(715\) | −11.6814 | − | 5.62547i | −0.436860 | − | 0.210381i | ||||
\(716\) | 54.4143 | + | 50.4891i | 2.03356 | + | 1.88687i | ||||
\(717\) | 10.8509 | − | 1.63551i | 0.405234 | − | 0.0610793i | ||||
\(718\) | −0.831443 | + | 11.0948i | −0.0310292 | + | 0.414056i | ||||
\(719\) | −18.1784 | + | 46.3177i | −0.677938 | + | 1.72736i | 0.00828308 | + | 0.999966i | \(0.497363\pi\) |
−0.686221 | + | 0.727393i | \(0.740732\pi\) | |||||||
\(720\) | −0.783346 | − | 3.43206i | −0.0291936 | − | 0.127905i | ||||
\(721\) | −0.534374 | − | 7.13072i | −0.0199011 | − | 0.265562i | ||||
\(722\) | −32.2234 | − | 9.93961i | −1.19923 | − | 0.369914i | ||||
\(723\) | −33.3433 | + | 16.0573i | −1.24005 | + | 0.597177i | ||||
\(724\) | 6.89756 | − | 11.9469i | 0.256346 | − | 0.444004i | ||||
\(725\) | 14.4268 | + | 24.9879i | 0.535798 | + | 0.928029i | ||||
\(726\) | −29.7761 | − | 20.3010i | −1.10509 | − | 0.753441i | ||||
\(727\) | 6.27178 | − | 27.4785i | 0.232607 | − | 1.01912i | −0.714860 | − | 0.699268i | \(-0.753510\pi\) |
0.947467 | − | 0.319852i | \(-0.103633\pi\) | |||||||
\(728\) | 11.8619 | + | 1.78789i | 0.439630 | + | 0.0662635i | ||||
\(729\) | −5.63418 | − | 7.06504i | −0.208673 | − | 0.261668i | ||||
\(730\) | −10.2177 | −0.378175 | ||||||||
\(731\) | 3.07798 | − | 5.79017i | 0.113843 | − | 0.214157i | ||||
\(732\) | 62.6471 | 2.31551 | ||||||||
\(733\) | 2.26906 | + | 2.84531i | 0.0838097 | + | 0.105094i | 0.821968 | − | 0.569533i | \(-0.192876\pi\) |
−0.738159 | + | 0.674627i | \(0.764304\pi\) | |||||||
\(734\) | −15.3884 | − | 2.31943i | −0.567997 | − | 0.0856117i | ||||
\(735\) | 2.12703 | − | 9.31911i | 0.0784566 | − | 0.343741i | ||||
\(736\) | 16.1469 | + | 11.0088i | 0.595184 | + | 0.405789i | ||||
\(737\) | 17.3859 | + | 30.1132i | 0.640417 | + | 1.10924i | ||||
\(738\) | 2.07567 | − | 3.59516i | 0.0764064 | − | 0.132340i | ||||
\(739\) | −13.7342 | + | 6.61404i | −0.505221 | + | 0.243301i | −0.669091 | − | 0.743180i | \(-0.733316\pi\) |
0.163870 | + | 0.986482i | \(0.447602\pi\) | |||||||
\(740\) | 18.8029 | + | 5.79992i | 0.691208 | + | 0.213209i | ||||
\(741\) | 4.70808 | + | 62.8250i | 0.172956 | + | 2.30793i | ||||
\(742\) | −1.82749 | − | 8.00675i | −0.0670893 | − | 0.293937i | ||||
\(743\) | 3.32021 | − | 8.45975i | 0.121807 | − | 0.310358i | −0.856945 | − | 0.515408i | \(-0.827640\pi\) |
0.978752 | + | 0.205050i | \(0.0657356\pi\) | |||||||
\(744\) | 1.82102 | − | 24.2998i | 0.0667618 | − | 0.890874i | ||||
\(745\) | −6.63182 | + | 0.999585i | −0.242971 | + | 0.0366220i | ||||
\(746\) | −57.1575 | − | 53.0344i | −2.09269 | − | 1.94173i | ||||
\(747\) | −27.3117 | − | 13.1526i | −0.999282 | − | 0.481229i | ||||
\(748\) | 13.0656 | − | 8.90795i | 0.477724 | − | 0.325707i | ||||
\(749\) | −2.27596 | − | 5.79906i | −0.0831618 | − | 0.211893i | ||||
\(750\) | 31.5985 | − | 9.74685i | 1.15381 | − | 0.355905i | ||||
\(751\) | −28.8518 | + | 26.7706i | −1.05282 | + | 0.976873i | −0.999764 | − | 0.0217188i | \(-0.993086\pi\) |
−0.0530544 | + | 0.998592i | \(0.516896\pi\) | |||||||
\(752\) | 15.1258 | − | 18.9672i | 0.551582 | − | 0.691662i | ||||
\(753\) | 25.7515 | − | 32.2914i | 0.938437 | − | 1.17676i | ||||
\(754\) | 53.6381 | − | 49.7689i | 1.95339 | − | 1.81248i | ||||
\(755\) | 0.853147 | − | 0.263161i | 0.0310492 | − | 0.00957741i | ||||
\(756\) | −1.63567 | − | 4.16763i | −0.0594889 | − | 0.151575i | ||||
\(757\) | −8.38406 | + | 5.71616i | −0.304724 | + | 0.207757i | −0.706021 | − | 0.708191i | \(-0.749512\pi\) |
0.401297 | + | 0.915948i | \(0.368559\pi\) | |||||||
\(758\) | 15.7791 | + | 7.59881i | 0.573123 | + | 0.276001i | ||||
\(759\) | −63.7458 | − | 59.1475i | −2.31383 | − | 2.14692i | ||||
\(760\) | 15.3065 | − | 2.30708i | 0.555225 | − | 0.0836867i | ||||
\(761\) | 1.49487 | − | 19.9477i | 0.0541890 | − | 0.723102i | −0.902258 | − | 0.431197i | \(-0.858092\pi\) |
0.956447 | − | 0.291906i | \(-0.0942894\pi\) | |||||||
\(762\) | −16.4843 | + | 42.0013i | −0.597163 | + | 1.52155i | ||||
\(763\) | −1.46227 | − | 6.40661i | −0.0529376 | − | 0.231935i | ||||
\(764\) | −4.88788 | − | 65.2242i | −0.176837 | − | 2.35973i | ||||
\(765\) | 1.27398 | + | 0.392971i | 0.0460608 | + | 0.0142079i | ||||
\(766\) | 10.4610 | − | 5.03776i | 0.377972 | − | 0.182022i | ||||
\(767\) | −6.10539 | + | 10.5749i | −0.220453 | + | 0.381836i | ||||
\(768\) | 32.6301 | + | 56.5170i | 1.17744 | + | 2.03938i | ||||
\(769\) | −4.98496 | − | 3.39869i | −0.179762 | − | 0.122560i | 0.470096 | − | 0.882615i | \(-0.344219\pi\) |
−0.649858 | + | 0.760055i | \(0.725172\pi\) | |||||||
\(770\) | 0.832504 | − | 3.64744i | 0.0300014 | − | 0.131445i | ||||
\(771\) | 6.62003 | + | 0.997808i | 0.238414 | + | 0.0359352i | ||||
\(772\) | −32.9894 | − | 41.3674i | −1.18731 | − | 1.48884i | ||||
\(773\) | −19.8164 | −0.712745 | −0.356373 | − | 0.934344i | \(-0.615987\pi\) | ||||
−0.356373 | + | 0.934344i | \(0.615987\pi\) | |||||||
\(774\) | −24.9723 | − | 21.5949i | −0.897611 | − | 0.776212i | ||||
\(775\) | 11.7117 | 0.420698 | ||||||||
\(776\) | −10.1417 | − | 12.7173i | −0.364065 | − | 0.456523i | ||||
\(777\) | −10.7096 | − | 1.61422i | −0.384206 | − | 0.0579098i | ||||
\(778\) | −7.91977 | + | 34.6988i | −0.283937 | + | 1.24401i | ||||
\(779\) | 3.91634 | + | 2.67012i | 0.140317 | + | 0.0956668i | ||||
\(780\) | −13.1136 | − | 22.7135i | −0.469544 | − | 0.813274i | ||||
\(781\) | 24.6477 | − | 42.6911i | 0.881965 | − | 1.52761i | ||||
\(782\) | 19.8326 | − | 9.55088i | 0.709212 | − | 0.341539i | ||||
\(783\) | −12.2303 | − | 3.77256i | −0.437076 | − | 0.134820i | ||||
\(784\) | −1.31410 | − | 17.5354i | −0.0469321 | − | 0.626265i | ||||
\(785\) | 2.38865 | + | 10.4653i | 0.0852544 | + | 0.373524i | ||||
\(786\) | −26.0299 | + | 66.3232i | −0.928457 | + | 2.36567i | ||||
\(787\) | −3.48306 | + | 46.4783i | −0.124158 | + | 1.65677i | 0.493072 | + | 0.869988i | \(0.335874\pi\) |
−0.617230 | + | 0.786783i | \(0.711745\pi\) | |||||||
\(788\) | 12.2604 | − | 1.84796i | 0.436760 | − | 0.0658309i | ||||
\(789\) | 18.6386 | + | 17.2941i | 0.663552 | + | 0.615686i | ||||
\(790\) | 7.54069 | + | 3.63141i | 0.268286 | + | 0.129200i | ||||
\(791\) | 9.32537 | − | 6.35793i | 0.331572 | − | 0.226062i | ||||
\(792\) | −13.6320 | − | 34.7337i | −0.484391 | − | 1.23421i | ||||
\(793\) | 34.1959 | − | 10.5480i | 1.21433 | − | 0.374572i | ||||
\(794\) | 36.2468 | − | 33.6321i | 1.28635 | − | 1.19356i | ||||
\(795\) | −5.24691 | + | 6.57942i | −0.186089 | + | 0.233348i | ||||
\(796\) | −11.9904 | + | 15.0355i | −0.424989 | + | 0.532920i | ||||
\(797\) | −17.6832 | + | 16.4076i | −0.626371 | + | 0.581188i | −0.928157 | − | 0.372188i | \(-0.878608\pi\) |
0.301786 | + | 0.953376i | \(0.402417\pi\) | |||||||
\(798\) | −17.3717 | + | 5.35846i | −0.614952 | + | 0.189687i | ||||
\(799\) | 3.35663 | + | 8.55256i | 0.118749 | + | 0.302568i | ||||
\(800\) | −8.09373 | + | 5.51821i | −0.286157 | + | 0.195098i | ||||
\(801\) | −20.9527 | − | 10.0903i | −0.740328 | − | 0.356523i | ||||
\(802\) | −29.2146 | − | 27.1071i | −1.03160 | − | 0.957187i | ||||
\(803\) | −27.8080 | + | 4.19138i | −0.981322 | + | 0.147911i | ||||
\(804\) | −5.25642 | + | 70.1421i | −0.185380 | + | 2.47372i | ||||
\(805\) | 1.24249 | − | 3.16581i | 0.0437920 | − | 0.111580i | ||||
\(806\) | −6.60893 | − | 28.9556i | −0.232790 | − | 1.01992i | ||||
\(807\) | 0.783166 | + | 10.4506i | 0.0275687 | + | 0.367879i | ||||
\(808\) | 46.0267 | + | 14.1974i | 1.61921 | + | 0.499461i | ||||
\(809\) | 16.3546 | − | 7.87594i | 0.574996 | − | 0.276903i | −0.123703 | − | 0.992319i | \(-0.539477\pi\) |
0.698699 | + | 0.715416i | \(0.253763\pi\) | |||||||
\(810\) | −8.31387 | + | 14.4000i | −0.292120 | + | 0.505966i | ||||
\(811\) | −9.21729 | − | 15.9648i | −0.323663 | − | 0.560601i | 0.657578 | − | 0.753387i | \(-0.271581\pi\) |
−0.981241 | + | 0.192786i | \(0.938248\pi\) | |||||||
\(812\) | 11.3922 | + | 7.76704i | 0.399786 | + | 0.272570i | ||||
\(813\) | −10.3316 | + | 45.2656i | −0.362344 | + | 1.58753i | ||||
\(814\) | 82.0058 | + | 12.3604i | 2.87430 | + | 0.433231i | ||||
\(815\) | −6.27657 | − | 7.87057i | −0.219859 | − | 0.275694i | ||||
\(816\) | 5.96132 | 0.208688 | ||||||||
\(817\) | 26.7187 | − | 26.5908i | 0.934769 | − | 0.930295i | ||||
\(818\) | 9.05291 | 0.316528 | ||||||||
\(819\) | 3.70307 | + | 4.64350i | 0.129396 | + | 0.162257i | ||||
\(820\) | −1.95120 | − | 0.294096i | −0.0681389 | − | 0.0102703i | ||||
\(821\) | 8.66945 | − | 37.9833i | 0.302566 | − | 1.32563i | −0.563674 | − | 0.825998i | \(-0.690612\pi\) |
0.866239 | − | 0.499629i | \(-0.166530\pi\) | |||||||
\(822\) | 60.6109 | + | 41.3238i | 2.11405 | + | 1.44133i | ||||
\(823\) | −1.86423 | − | 3.22893i | −0.0649828 | − | 0.112554i | 0.831704 | − | 0.555220i | \(-0.187366\pi\) |
−0.896686 | + | 0.442666i | \(0.854033\pi\) | |||||||
\(824\) | −25.9552 | + | 44.9558i | −0.904193 | + | 1.56611i | ||||
\(825\) | 39.2723 | − | 18.9125i | 1.36728 | − | 0.658449i | ||||
\(826\) | −3.36696 | − | 1.03857i | −0.117151 | − | 0.0361364i | ||||
\(827\) | 0.359064 | + | 4.79138i | 0.0124859 | + | 0.166612i | 0.999961 | + | 0.00883737i | \(0.00281306\pi\) |
−0.987475 | + | 0.157775i | \(0.949568\pi\) | |||||||
\(828\) | −16.1043 | − | 70.5576i | −0.559664 | − | 2.45205i | ||||
\(829\) | −0.847329 | + | 2.15896i | −0.0294289 | + | 0.0749837i | −0.944833 | − | 0.327553i | \(-0.893776\pi\) |
0.915404 | + | 0.402536i | \(0.131871\pi\) | |||||||
\(830\) | −1.64890 | + | 22.0031i | −0.0572342 | + | 0.763737i | ||||
\(831\) | −11.9314 | + | 1.79837i | −0.413897 | + | 0.0623849i | ||||
\(832\) | 37.0027 | + | 34.3335i | 1.28284 | + | 1.19030i | ||||
\(833\) | 6.00009 | + | 2.88949i | 0.207891 | + | 0.100115i | ||||
\(834\) | 24.2234 | − | 16.5152i | 0.838788 | − | 0.571876i | ||||
\(835\) | −0.661872 | − | 1.68642i | −0.0229050 | − | 0.0583611i | ||||
\(836\) | 86.8647 | − | 26.7942i | 3.00428 | − | 0.926697i | ||||
\(837\) | −3.80829 | + | 3.53358i | −0.131634 | + | 0.122138i | ||||
\(838\) | −48.7844 | + | 61.1738i | −1.68523 | + | 2.11321i | ||||
\(839\) | −25.8929 | + | 32.4686i | −0.893921 | + | 1.12094i | 0.0981381 | + | 0.995173i | \(0.468711\pi\) |
−0.992060 | + | 0.125769i | \(0.959860\pi\) | |||||||
\(840\) | 2.60008 | − | 2.41252i | 0.0897111 | − | 0.0832398i | ||||
\(841\) | 9.95360 | − | 3.07028i | 0.343228 | − | 0.105872i | ||||
\(842\) | −5.88614 | − | 14.9976i | −0.202850 | − | 0.516852i | ||||
\(843\) | −57.9231 | + | 39.4913i | −1.99498 | + | 1.36015i | ||||
\(844\) | −71.4602 | − | 34.4134i | −2.45976 | − | 1.18456i | ||||
\(845\) | −4.92378 | − | 4.56860i | −0.169383 | − | 0.157165i | ||||
\(846\) | 45.7401 | − | 6.89422i | 1.57258 | − | 0.237028i | ||||
\(847\) | 0.289887 | − | 3.86827i | 0.00996062 | − | 0.132915i | ||||
\(848\) | −5.65592 | + | 14.4110i | −0.194225 | + | 0.494877i | ||||
\(849\) | −2.62850 | − | 11.5162i | −0.0902097 | − | 0.395235i | ||||
\(850\) | 0.824564 | + | 11.0030i | 0.0282823 | + | 0.377401i | ||||
\(851\) | 72.0386 | + | 22.2210i | 2.46945 | + | 0.761725i | ||||
\(852\) | 89.8431 | − | 43.2662i | 3.07797 | − | 1.48227i | ||||
\(853\) | −2.29099 | + | 3.96812i | −0.0784422 | + | 0.135866i | −0.902578 | − | 0.430526i | \(-0.858328\pi\) |
0.824136 | + | 0.566392i | \(0.191661\pi\) | |||||||
\(854\) | 5.16310 | + | 8.94275i | 0.176678 | + | 0.306015i | ||||
\(855\) | 6.33229 | + | 4.31728i | 0.216560 | + | 0.147648i | ||||
\(856\) | −10.0634 | + | 44.0904i | −0.343958 | + | 1.50698i | ||||
\(857\) | −50.3182 | − | 7.58425i | −1.71884 | − | 0.259073i | −0.785704 | − | 0.618602i | \(-0.787699\pi\) |
−0.933134 | + | 0.359529i | \(0.882937\pi\) | |||||||
\(858\) | −68.9199 | − | 86.4228i | −2.35289 | − | 2.95043i | ||||
\(859\) | 35.4743 | 1.21037 | 0.605185 | − | 0.796085i | \(-0.293099\pi\) | ||||
0.605185 | + | 0.796085i | \(0.293099\pi\) | |||||||
\(860\) | −5.21847 | + | 14.7996i | −0.177948 | + | 0.504661i | ||||
\(861\) | 1.08611 | 0.0370144 | ||||||||
\(862\) | 28.0759 | + | 35.2060i | 0.956268 | + | 1.19912i | ||||
\(863\) | 34.3823 | + | 5.18229i | 1.17039 | + | 0.176407i | 0.705333 | − | 0.708876i | \(-0.250797\pi\) |
0.465052 | + | 0.885283i | \(0.346035\pi\) | |||||||
\(864\) | 0.966916 | − | 4.23633i | 0.0328951 | − | 0.144123i | ||||
\(865\) | −6.23923 | − | 4.25383i | −0.212140 | − | 0.144635i | ||||
\(866\) | −20.4815 | − | 35.4750i | −0.695989 | − | 1.20549i | ||||
\(867\) | −1.12883 | + | 1.95519i | −0.0383370 | + | 0.0664017i | ||||
\(868\) | 5.04233 | − | 2.42826i | 0.171148 | − | 0.0824205i | ||||
\(869\) | 22.0119 | + | 6.78978i | 0.746704 | + | 0.230328i | ||||
\(870\) | −1.61680 | − | 21.5746i | −0.0548145 | − | 0.731449i | ||||
\(871\) | 8.94076 | + | 39.1720i | 0.302946 | + | 1.32729i | ||||
\(872\) | −17.4285 | + | 44.4071i | −0.590203 | + | 1.50381i | ||||
\(873\) | 0.601835 | − | 8.03093i | 0.0203690 | − | 0.271806i | ||||
\(874\) | 125.126 | − | 18.8598i | 4.23246 | − | 0.637941i | ||||
\(875\) | 2.60920 | + | 2.42099i | 0.0882072 | + | 0.0818443i | ||||
\(876\) | −51.2537 | − | 24.6825i | −1.73170 | − | 0.833944i | ||||
\(877\) | 15.8816 | − | 10.8279i | 0.536282 | − | 0.365631i | −0.264689 | − | 0.964334i | \(-0.585269\pi\) |
0.800971 | + | 0.598703i | \(0.204317\pi\) | |||||||
\(878\) | 27.0177 | + | 68.8400i | 0.911804 | + | 2.32324i | ||||
\(879\) | 8.98238 | − | 2.77070i | 0.302968 | − | 0.0934533i | ||||
\(880\) | −5.16977 | + | 4.79684i | −0.174273 | + | 0.161702i | ||||
\(881\) | −16.7953 | + | 21.0606i | −0.565847 | + | 0.709549i | −0.979627 | − | 0.200828i | \(-0.935637\pi\) |
0.413780 | + | 0.910377i | \(0.364208\pi\) | |||||||
\(882\) | 20.9049 | − | 26.2139i | 0.703904 | − | 0.882667i | ||||
\(883\) | −24.3319 | + | 22.5767i | −0.818834 | + | 0.759767i | −0.973619 | − | 0.228182i | \(-0.926722\pi\) |
0.154785 | + | 0.987948i | \(0.450532\pi\) | |||||||
\(884\) | 17.4608 | − | 5.38593i | 0.587269 | − | 0.181149i | ||||
\(885\) | 1.31905 | + | 3.36090i | 0.0443395 | + | 0.112975i | ||||
\(886\) | 57.9634 | − | 39.5188i | 1.94732 | − | 1.32766i | ||||
\(887\) | −28.2245 | − | 13.5922i | −0.947686 | − | 0.456382i | −0.104812 | − | 0.994492i | \(-0.533424\pi\) |
−0.842874 | + | 0.538110i | \(0.819138\pi\) | |||||||
\(888\) | 57.6359 | + | 53.4783i | 1.93413 | + | 1.79461i | ||||
\(889\) | −4.80247 | + | 0.723856i | −0.161070 | + | 0.0242773i | ||||
\(890\) | −1.26499 | + | 16.8801i | −0.0424025 | + | 0.565822i | ||||
\(891\) | −16.7196 | + | 42.6007i | −0.560126 | + | 1.42718i | ||||
\(892\) | −2.57737 | − | 11.2922i | −0.0862968 | − | 0.378091i | ||||
\(893\) | 3.94692 | + | 52.6679i | 0.132078 | + | 1.76246i | ||||
\(894\) | −54.6392 | − | 16.8539i | −1.82741 | − | 0.563680i | ||||
\(895\) | 11.2958 | − | 5.43978i | 0.377578 | − | 0.181832i | ||||
\(896\) | −6.03922 | + | 10.4602i | −0.201756 | + | 0.349452i | ||||
\(897\) | −50.2417 | − | 87.0211i | −1.67752 | − | 2.90555i | ||||
\(898\) | 17.1320 | + | 11.6804i | 0.571702 | + | 0.389780i | ||||
\(899\) | 3.56015 | − | 15.5981i | 0.118738 | − | 0.520224i | ||||
\(900\) | 35.8717 | + | 5.40679i | 1.19572 | + | 0.180226i | ||||
\(901\) | −3.65553 | − | 4.58389i | −0.121783 | − | 0.152711i | ||||
\(902\) | −8.31652 | −0.276910 | ||||||||
\(903\) | 1.62617 | − | 8.48305i | 0.0541154 | − | 0.282298i | ||||
\(904\) | −81.9343 | −2.72509 | ||||||||
\(905\) | −1.45273 | − | 1.82167i | −0.0482904 | − | 0.0605542i | ||||
\(906\) | 7.52683 | + | 1.13449i | 0.250062 | + | 0.0376908i | ||||
\(907\) | 8.90457 | − | 39.0135i | 0.295671 | − | 1.29542i | −0.580831 | − | 0.814024i | \(-0.697272\pi\) |
0.876503 | − | 0.481397i | \(-0.159870\pi\) | |||||||
\(908\) | 70.0410 | + | 47.7532i | 2.32439 | + | 1.58474i | ||||
\(909\) | 11.9239 | + | 20.6528i | 0.395490 | + | 0.685009i | ||||
\(910\) | 2.16154 | − | 3.74389i | 0.0716542 | − | 0.124109i | ||||
\(911\) | 16.2837 | − | 7.84183i | 0.539504 | − | 0.259811i | −0.144228 | − | 0.989544i | \(-0.546070\pi\) |
0.683732 | + | 0.729733i | \(0.260356\pi\) | |||||||
\(912\) | 32.7464 | + | 10.1009i | 1.08434 | + | 0.334475i | ||||
\(913\) | 4.53824 | + | 60.5587i | 0.150194 | + | 2.00420i | ||||
\(914\) | 5.80366 | + | 25.4275i | 0.191968 | + | 0.841067i | ||||
\(915\) | 3.86571 | − | 9.84967i | 0.127796 | − | 0.325620i | ||||
\(916\) | 1.63835 | − | 21.8622i | 0.0541325 | − | 0.722348i | ||||
\(917\) | −7.58346 | + | 1.14302i | −0.250428 | + | 0.0377459i | ||||
\(918\) | −3.58788 | − | 3.32907i | −0.118418 | − | 0.109876i | ||||
\(919\) | 3.19097 | + | 1.53669i | 0.105260 | + | 0.0506907i | 0.485773 | − | 0.874085i | \(-0.338538\pi\) |
−0.380513 | + | 0.924776i | \(0.624252\pi\) | |||||||
\(920\) | −20.3988 | + | 13.9077i | −0.672529 | + | 0.458523i | ||||
\(921\) | 21.3605 | + | 54.4257i | 0.703853 | + | 1.79339i | ||||
\(922\) | 12.2836 | − | 3.78898i | 0.404537 | − | 0.124783i | ||||
\(923\) | 41.7560 | − | 38.7439i | 1.37442 | − | 1.27527i | ||||
\(924\) | 12.9869 | − | 16.2851i | 0.427238 | − | 0.535740i | ||||
\(925\) | −23.5608 | + | 29.5443i | −0.774674 | + | 0.971410i | ||||
\(926\) | 26.2613 | − | 24.3669i | 0.863001 | − | 0.800748i | ||||
\(927\) | −24.5595 | + | 7.57561i | −0.806641 | + | 0.248816i | ||||
\(928\) | 4.88898 | + | 12.4569i | 0.160489 | + | 0.408919i | ||||
\(929\) | 41.7913 | − | 28.4928i | 1.37113 | − | 0.934820i | 0.371148 | − | 0.928574i | \(-0.378964\pi\) |
0.999980 | − | 0.00624599i | \(-0.00198817\pi\) | |||||||
\(930\) | −7.91208 | − | 3.81026i | −0.259447 | − | 0.124943i | ||||
\(931\) | 28.0634 | + | 26.0390i | 0.919739 | + | 0.853393i | ||||
\(932\) | −41.6877 | + | 6.28341i | −1.36553 | + | 0.205820i | ||||
\(933\) | −3.37865 | + | 45.0850i | −0.110612 | + | 1.47602i | ||||
\(934\) | 35.3262 | − | 90.0096i | 1.15591 | − | 2.94520i | ||||
\(935\) | −0.594324 | − | 2.60390i | −0.0194365 | − | 0.0851567i | ||||
\(936\) | −3.22205 | − | 42.9953i | −0.105316 | − | 1.40535i | ||||
\(937\) | 48.9157 | + | 15.0885i | 1.59801 | + | 0.492919i | 0.960676 | − | 0.277672i | \(-0.0895630\pi\) |
0.637329 | + | 0.770592i | \(0.280039\pi\) | |||||||
\(938\) | −10.4458 | + | 5.03045i | −0.341069 | + | 0.164250i | ||||
\(939\) | 20.2932 | − | 35.1488i | 0.662243 | − | 1.14704i | ||||
\(940\) | −10.9935 | − | 19.0414i | −0.358570 | − | 0.621061i | ||||
\(941\) | −17.4020 | − | 11.8645i | −0.567290 | − | 0.386772i | 0.245440 | − | 0.969412i | \(-0.421068\pi\) |
−0.812731 | + | 0.582640i | \(0.802020\pi\) | |||||||
\(942\) | −20.3649 | + | 89.2243i | −0.663523 | + | 2.90709i | ||||
\(943\) | −7.47554 | − | 1.12676i | −0.243437 | − | 0.0366922i | ||||
\(944\) | 4.14118 | + | 5.19287i | 0.134784 | + | 0.169014i | ||||
\(945\) | −0.756185 | −0.0245987 | ||||||||
\(946\) | −12.4519 | + | 64.9563i | −0.404845 | + | 2.11191i | ||||
\(947\) | −43.4346 | −1.41144 | −0.705718 | − | 0.708493i | \(-0.749375\pi\) | ||||
−0.705718 | + | 0.708493i | \(0.749375\pi\) | |||||||
\(948\) | 29.0531 | + | 36.4314i | 0.943600 | + | 1.18324i | ||||
\(949\) | −32.1326 | − | 4.84322i | −1.04307 | − | 0.157217i | ||||
\(950\) | −14.1142 | + | 61.8384i | −0.457926 | + | 2.00630i | ||||
\(951\) | 2.39853 | + | 1.63529i | 0.0777776 | + | 0.0530279i | ||||
\(952\) | 1.23557 | + | 2.14007i | 0.0400451 | + | 0.0693601i | ||||
\(953\) | −7.13284 | + | 12.3544i | −0.231055 | + | 0.400200i | −0.958119 | − | 0.286370i | \(-0.907551\pi\) |
0.727064 | + | 0.686570i | \(0.240885\pi\) | |||||||
\(954\) | −26.5950 | + | 12.8075i | −0.861046 | + | 0.414658i | ||||
\(955\) | −10.5565 | − | 3.25623i | −0.341599 | − | 0.105369i | ||||
\(956\) | −1.36725 | − | 18.2447i | −0.0442200 | − | 0.590074i | ||||
\(957\) | −13.2502 | − | 58.0531i | −0.428319 | − | 1.87659i | ||||
\(958\) | 9.15397 | − | 23.3239i | 0.295751 | − | 0.753562i | ||||
\(959\) | −0.590080 | + | 7.87407i | −0.0190547 | + | 0.254267i | ||||
\(960\) | 14.7585 | − | 2.22448i | 0.476328 | − | 0.0717948i | ||||
\(961\) | 17.9641 | + | 16.6682i | 0.579487 | + | 0.537685i | ||||
\(962\) | 86.3395 | + | 41.5789i | 2.78370 | + | 1.34056i | ||||
\(963\) | −18.5003 | + | 12.6133i | −0.596164 | + | 0.406458i | ||||
\(964\) | 22.5427 | + | 57.4378i | 0.726051 | + | 1.84995i | ||||
\(965\) | −8.53961 | + | 2.63412i | −0.274900 | + | 0.0847953i | ||||
\(966\) | 21.2549 | − | 19.7217i | 0.683865 | − | 0.634534i | ||||
\(967\) | 26.9494 | − | 33.7934i | 0.866633 | − | 1.08672i | −0.128839 | − | 0.991666i | \(-0.541125\pi\) |
0.995472 | − | 0.0950579i | \(-0.0303036\pi\) | |||||||
\(968\) | −17.5577 | + | 22.0166i | −0.564325 | + | 0.707641i | ||||
\(969\) | −9.51371 | + | 8.82743i | −0.305624 | + | 0.283578i | ||||
\(970\) | −5.60152 | + | 1.72784i | −0.179854 | + | 0.0554776i | ||||
\(971\) | −17.1349 | − | 43.6591i | −0.549887 | − | 1.40109i | −0.887939 | − | 0.459961i | \(-0.847863\pi\) |
0.338053 | − | 0.941127i | \(-0.390232\pi\) | |||||||
\(972\) | −57.4684 | + | 39.1813i | −1.84330 | + | 1.25674i | ||||
\(973\) | 2.84322 | + | 1.36922i | 0.0911493 | + | 0.0438952i | ||||
\(974\) | −39.8469 | − | 36.9725i | −1.27678 | − | 1.18468i | ||||
\(975\) | 49.8052 | − | 7.50693i | 1.59504 | − | 0.240414i | ||||
\(976\) | 1.45464 | − | 19.4109i | 0.0465620 | − | 0.621327i | ||||
\(977\) | −14.4590 | + | 36.8409i | −0.462584 | + | 1.17865i | 0.489280 | + | 0.872127i | \(0.337259\pi\) |
−0.951865 | + | 0.306519i | \(0.900836\pi\) | |||||||
\(978\) | −19.0983 | − | 83.6749i | −0.610695 | − | 2.67563i | ||||
\(979\) | 3.48161 | + | 46.4588i | 0.111273 | + | 1.48483i | ||||
\(980\) | −15.2291 | − | 4.69755i | −0.486475 | − | 0.150058i | ||||
\(981\) | −21.2800 | + | 10.2479i | −0.679419 | + | 0.327191i | ||||
\(982\) | 38.9494 | − | 67.4623i | 1.24292 | − | 2.15281i | ||||
\(983\) | −14.6670 | − | 25.4039i | −0.467804 | − | 0.810260i | 0.531519 | − | 0.847046i | \(-0.321621\pi\) |
−0.999323 | + | 0.0367861i | \(0.988288\pi\) | |||||||
\(984\) | −6.51453 | − | 4.44153i | −0.207676 | − | 0.141591i | ||||
\(985\) | 0.465998 | − | 2.04167i | 0.0148479 | − | 0.0650531i | ||||
\(986\) | 14.9049 | + | 2.24655i | 0.474667 | + | 0.0715446i | ||||
\(987\) | 7.54552 | + | 9.46178i | 0.240176 | + | 0.301172i | ||||
\(988\) | 105.040 | 3.34178 | ||||||||
\(989\) | −19.9932 | + | 56.7008i | −0.635748 | + | 1.80298i | ||||
\(990\) | −13.4469 | −0.427371 | ||||||||
\(991\) | −13.3731 | − | 16.7694i | −0.424811 | − | 0.532697i | 0.522658 | − | 0.852542i | \(-0.324940\pi\) |
−0.947470 | + | 0.319846i | \(0.896369\pi\) | |||||||
\(992\) | 5.37110 | + | 0.809563i | 0.170533 | + | 0.0257037i | ||||
\(993\) | −13.7466 | + | 60.2280i | −0.436236 | + | 1.91128i | ||||
\(994\) | 13.5806 | + | 9.25911i | 0.430751 | + | 0.293681i | ||||
\(995\) | 1.62407 | + | 2.81297i | 0.0514865 | + | 0.0891772i | ||||
\(996\) | −61.4229 | + | 106.388i | −1.94626 | + | 3.37102i | ||||
\(997\) | −16.7014 | + | 8.04295i | −0.528937 | + | 0.254723i | −0.679239 | − | 0.733917i | \(-0.737690\pi\) |
0.150301 | + | 0.988640i | \(0.451976\pi\) | |||||||
\(998\) | 36.5090 | + | 11.2615i | 1.15567 | + | 0.356478i | ||||
\(999\) | −1.25265 | − | 16.7155i | −0.0396321 | − | 0.528854i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 731.2.u.a.52.3 | ✓ | 348 | |
43.24 | even | 21 | inner | 731.2.u.a.239.3 | yes | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.u.a.52.3 | ✓ | 348 | 1.1 | even | 1 | trivial | |
731.2.u.a.239.3 | yes | 348 | 43.24 | even | 21 | inner |