Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(27,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 1, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.27");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.x (of order \(8\), degree \(4\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(112\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 27.20 | ||
Character | \(\chi\) | \(=\) | 224.27 |
Dual form | 224.2.x.b.83.20 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.589446 | + | 1.28552i | 0.416801 | + | 0.908998i | ||||
\(3\) | 1.08865 | + | 2.62824i | 0.628534 | + | 1.51742i | 0.841444 | + | 0.540344i | \(0.181706\pi\) |
−0.212910 | + | 0.977072i | \(0.568294\pi\) | |||||||
\(4\) | −1.30511 | + | 1.51548i | −0.652554 | + | 0.757742i | ||||
\(5\) | 1.22393 | − | 2.95482i | 0.547357 | − | 1.32144i | −0.372080 | − | 0.928201i | \(-0.621355\pi\) |
0.919437 | − | 0.393237i | \(-0.128645\pi\) | |||||||
\(6\) | −2.73695 | + | 2.94869i | −1.11735 | + | 1.20380i | ||||
\(7\) | −1.92921 | + | 1.81057i | −0.729172 | + | 0.684330i | ||||
\(8\) | −2.71747 | − | 0.784442i | −0.960771 | − | 0.277342i | ||||
\(9\) | −3.60116 | + | 3.60116i | −1.20039 | + | 1.20039i | ||||
\(10\) | 4.51992 | − | 0.168328i | 1.42932 | − | 0.0532299i | ||||
\(11\) | 3.55240 | + | 1.47145i | 1.07109 | + | 0.443659i | 0.847374 | − | 0.530996i | \(-0.178182\pi\) |
0.223714 | + | 0.974655i | \(0.428182\pi\) | |||||||
\(12\) | −5.40387 | − | 1.78030i | −1.55996 | − | 0.513928i | ||||
\(13\) | −1.45755 | − | 3.51884i | −0.404252 | − | 0.975950i | −0.986622 | − | 0.163026i | \(-0.947875\pi\) |
0.582370 | − | 0.812924i | \(-0.302125\pi\) | |||||||
\(14\) | −3.46468 | − | 1.41280i | −0.925974 | − | 0.377587i | ||||
\(15\) | 9.09842 | 2.34920 | ||||||||
\(16\) | −0.593388 | − | 3.95574i | −0.148347 | − | 0.988935i | ||||
\(17\) | 6.06598 | 1.47122 | 0.735608 | − | 0.677408i | \(-0.236897\pi\) | ||||
0.735608 | + | 0.677408i | \(0.236897\pi\) | |||||||
\(18\) | −6.75205 | − | 2.50667i | −1.59147 | − | 0.590827i | ||||
\(19\) | −0.707276 | + | 0.292963i | −0.162260 | + | 0.0672103i | −0.462335 | − | 0.886705i | \(-0.652988\pi\) |
0.300075 | + | 0.953916i | \(0.402988\pi\) | |||||||
\(20\) | 2.88063 | + | 5.71121i | 0.644129 | + | 1.27706i | ||||
\(21\) | −6.85884 | − | 3.09935i | −1.49672 | − | 0.676333i | ||||
\(22\) | 0.202370 | + | 5.43401i | 0.0431454 | + | 1.15853i | ||||
\(23\) | −2.56037 | − | 2.56037i | −0.533875 | − | 0.533875i | 0.387848 | − | 0.921723i | \(-0.373218\pi\) |
−0.921723 | + | 0.387848i | \(0.873218\pi\) | |||||||
\(24\) | −0.896681 | − | 7.99615i | −0.183034 | − | 1.63221i | ||||
\(25\) | −3.69745 | − | 3.69745i | −0.739490 | − | 0.739490i | ||||
\(26\) | 3.66438 | − | 3.94787i | 0.718644 | − | 0.774241i | ||||
\(27\) | −5.50042 | − | 2.27835i | −1.05856 | − | 0.438468i | ||||
\(28\) | −0.226061 | − | 5.28667i | −0.0427215 | − | 0.999087i | ||||
\(29\) | −0.434147 | − | 1.04812i | −0.0806191 | − | 0.194632i | 0.878430 | − | 0.477870i | \(-0.158591\pi\) |
−0.959049 | + | 0.283239i | \(0.908591\pi\) | |||||||
\(30\) | 5.36303 | + | 11.6962i | 0.979150 | + | 2.13542i | ||||
\(31\) | −1.65461 | −0.297176 | −0.148588 | − | 0.988899i | \(-0.547473\pi\) | ||||
−0.148588 | + | 0.988899i | \(0.547473\pi\) | |||||||
\(32\) | 4.73540 | − | 3.09451i | 0.837109 | − | 0.547036i | ||||
\(33\) | 10.9385i | 1.90414i | ||||||||
\(34\) | 3.57556 | + | 7.79791i | 0.613204 | + | 1.33733i | ||||
\(35\) | 2.98869 | + | 7.91648i | 0.505181 | + | 1.33813i | ||||
\(36\) | −0.757603 | − | 10.1574i | −0.126267 | − | 1.69290i | ||||
\(37\) | 9.03555 | + | 3.74265i | 1.48544 | + | 0.615288i | 0.970318 | − | 0.241832i | \(-0.0777483\pi\) |
0.515117 | + | 0.857120i | \(0.327748\pi\) | |||||||
\(38\) | −0.793510 | − | 0.736529i | −0.128724 | − | 0.119481i | ||||
\(39\) | 7.66159 | − | 7.66159i | 1.22684 | − | 1.22684i | ||||
\(40\) | −5.64388 | + | 7.06955i | −0.892375 | + | 1.11779i | ||||
\(41\) | −1.64682 | − | 1.64682i | −0.257189 | − | 0.257189i | 0.566721 | − | 0.823910i | \(-0.308212\pi\) |
−0.823910 | + | 0.566721i | \(0.808212\pi\) | |||||||
\(42\) | −0.0586534 | − | 10.6441i | −0.00905042 | − | 1.64241i | ||||
\(43\) | −2.84392 | − | 1.17799i | −0.433694 | − | 0.179642i | 0.155146 | − | 0.987892i | \(-0.450415\pi\) |
−0.588840 | + | 0.808250i | \(0.700415\pi\) | |||||||
\(44\) | −6.86622 | + | 3.46320i | −1.03512 | + | 0.522097i | ||||
\(45\) | 6.23324 | + | 15.0484i | 0.929196 | + | 2.24328i | ||||
\(46\) | 1.78220 | − | 4.80060i | 0.262771 | − | 0.707810i | ||||
\(47\) | − | 4.63757i | − | 0.676458i | −0.941064 | − | 0.338229i | \(-0.890172\pi\) | ||
0.941064 | − | 0.338229i | \(-0.109828\pi\) | |||||||
\(48\) | 9.75065 | − | 5.86600i | 1.40738 | − | 0.846684i | ||||
\(49\) | 0.443695 | − | 6.98592i | 0.0633851 | − | 0.997989i | ||||
\(50\) | 2.57369 | − | 6.93258i | 0.363975 | − | 0.980415i | ||||
\(51\) | 6.60374 | + | 15.9428i | 0.924709 | + | 2.23244i | ||||
\(52\) | 7.23500 | + | 2.38357i | 1.00331 | + | 0.330541i | ||||
\(53\) | −4.31117 | + | 10.4081i | −0.592185 | + | 1.42966i | 0.289202 | + | 0.957268i | \(0.406610\pi\) |
−0.881387 | + | 0.472394i | \(0.843390\pi\) | |||||||
\(54\) | −0.313343 | − | 8.41384i | −0.0426406 | − | 1.14498i | ||||
\(55\) | 8.69576 | − | 8.69576i | 1.17254 | − | 1.17254i | ||||
\(56\) | 6.66286 | − | 3.40681i | 0.890361 | − | 0.455254i | ||||
\(57\) | −1.53996 | − | 1.53996i | −0.203972 | − | 0.203972i | ||||
\(58\) | 1.09148 | − | 1.17592i | 0.143318 | − | 0.154405i | ||||
\(59\) | −9.36962 | − | 3.88102i | −1.21982 | − | 0.505266i | −0.322468 | − | 0.946580i | \(-0.604512\pi\) |
−0.897353 | + | 0.441314i | \(0.854512\pi\) | |||||||
\(60\) | −11.8744 | + | 13.7885i | −1.53298 | + | 1.78009i | ||||
\(61\) | −5.38244 | + | 2.22948i | −0.689151 | + | 0.285456i | −0.699647 | − | 0.714489i | \(-0.746659\pi\) |
0.0104953 | + | 0.999945i | \(0.496659\pi\) | |||||||
\(62\) | −0.975300 | − | 2.12702i | −0.123863 | − | 0.270132i | ||||
\(63\) | 0.427250 | − | 13.4675i | 0.0538285 | − | 1.69675i | ||||
\(64\) | 6.76930 | + | 4.26340i | 0.846163 | + | 0.532925i | ||||
\(65\) | −12.1815 | −1.51093 | ||||||||
\(66\) | −14.0616 | + | 6.44762i | −1.73086 | + | 0.793648i | ||||
\(67\) | 6.27656 | − | 2.59984i | 0.766804 | − | 0.317620i | 0.0352267 | − | 0.999379i | \(-0.488785\pi\) |
0.731577 | + | 0.681759i | \(0.238785\pi\) | |||||||
\(68\) | −7.91675 | + | 9.19289i | −0.960047 | + | 1.11480i | ||||
\(69\) | 3.94192 | − | 9.51663i | 0.474551 | − | 1.14567i | ||||
\(70\) | −8.41509 | + | 8.50835i | −1.00580 | + | 1.01694i | ||||
\(71\) | −2.44583 | + | 2.44583i | −0.290267 | + | 0.290267i | −0.837186 | − | 0.546919i | \(-0.815801\pi\) |
0.546919 | + | 0.837186i | \(0.315801\pi\) | |||||||
\(72\) | 12.6110 | − | 6.96116i | 1.48622 | − | 0.820380i | ||||
\(73\) | −6.04655 | − | 6.04655i | −0.707695 | − | 0.707695i | 0.258355 | − | 0.966050i | \(-0.416820\pi\) |
−0.966050 | + | 0.258355i | \(0.916820\pi\) | |||||||
\(74\) | 0.514729 | + | 13.8214i | 0.0598361 | + | 1.60671i | ||||
\(75\) | 5.69255 | − | 13.7430i | 0.657319 | − | 1.58691i | ||||
\(76\) | 0.479089 | − | 1.45421i | 0.0549553 | − | 0.166810i | ||||
\(77\) | −9.51748 | + | 3.59312i | −1.08462 | + | 0.409474i | ||||
\(78\) | 14.3652 | + | 5.33301i | 1.62654 | + | 0.603844i | ||||
\(79\) | −1.10701 | −0.124549 | −0.0622743 | − | 0.998059i | \(-0.519835\pi\) | ||||
−0.0622743 | + | 0.998059i | \(0.519835\pi\) | |||||||
\(80\) | −12.4148 | − | 3.08818i | −1.38802 | − | 0.345270i | ||||
\(81\) | − | 1.65831i | − | 0.184257i | ||||||
\(82\) | 1.14630 | − | 3.08772i | 0.126588 | − | 0.340981i | ||||
\(83\) | 4.90262 | − | 2.03073i | 0.538132 | − | 0.222902i | −0.0970287 | − | 0.995282i | \(-0.530934\pi\) |
0.635161 | + | 0.772380i | \(0.280934\pi\) | |||||||
\(84\) | 13.6485 | − | 6.34949i | 1.48918 | − | 0.692787i | ||||
\(85\) | 7.42432 | − | 17.9239i | 0.805280 | − | 1.94412i | ||||
\(86\) | −0.162010 | − | 4.35027i | −0.0174700 | − | 0.469101i | ||||
\(87\) | 2.28209 | − | 2.28209i | 0.244665 | − | 0.244665i | ||||
\(88\) | −8.49927 | − | 6.78528i | −0.906025 | − | 0.723313i | ||||
\(89\) | −0.966625 | + | 0.966625i | −0.102462 | + | 0.102462i | −0.756479 | − | 0.654017i | \(-0.773082\pi\) |
0.654017 | + | 0.756479i | \(0.273082\pi\) | |||||||
\(90\) | −15.6708 | + | 16.8831i | −1.65184 | + | 1.77964i | ||||
\(91\) | 9.18301 | + | 4.14958i | 0.962641 | + | 0.434994i | ||||
\(92\) | 7.22177 | − | 0.538644i | 0.752921 | − | 0.0561575i | ||||
\(93\) | −1.80129 | − | 4.34870i | −0.186785 | − | 0.450939i | ||||
\(94\) | 5.96167 | − | 2.73359i | 0.614899 | − | 0.281949i | ||||
\(95\) | 2.44844i | 0.251205i | ||||||||
\(96\) | 13.2883 | + | 9.07693i | 1.35623 | + | 0.926411i | ||||
\(97\) | − | 14.8662i | − | 1.50943i | −0.656053 | − | 0.754715i | \(-0.727775\pi\) | ||
0.656053 | − | 0.754715i | \(-0.272225\pi\) | |||||||
\(98\) | 9.24206 | − | 3.54744i | 0.933589 | − | 0.358346i | ||||
\(99\) | −18.0917 | + | 7.49383i | −1.81828 | + | 0.753158i | ||||
\(100\) | 10.4290 | − | 0.777859i | 1.04290 | − | 0.0777859i | ||||
\(101\) | −4.10265 | + | 9.90468i | −0.408229 | + | 0.985552i | 0.577374 | + | 0.816479i | \(0.304077\pi\) |
−0.985604 | + | 0.169073i | \(0.945923\pi\) | |||||||
\(102\) | −16.6022 | + | 17.8867i | −1.64387 | + | 1.77104i | ||||
\(103\) | 1.60446 | + | 1.60446i | 0.158092 | + | 0.158092i | 0.781721 | − | 0.623629i | \(-0.214342\pi\) |
−0.623629 | + | 0.781721i | \(0.714342\pi\) | |||||||
\(104\) | 1.20053 | + | 10.7057i | 0.117721 | + | 1.04978i | ||||
\(105\) | −17.5528 | + | 16.4733i | −1.71297 | + | 1.60763i | ||||
\(106\) | −15.9210 | + | 0.592919i | −1.54638 | + | 0.0575894i | ||||
\(107\) | −12.5844 | − | 5.21261i | −1.21658 | − | 0.503923i | −0.320257 | − | 0.947331i | \(-0.603769\pi\) |
−0.896320 | + | 0.443408i | \(0.853769\pi\) | |||||||
\(108\) | 10.6314 | − | 5.36231i | 1.02301 | − | 0.515989i | ||||
\(109\) | 5.31024 | − | 2.19958i | 0.508629 | − | 0.210681i | −0.113585 | − | 0.993528i | \(-0.536233\pi\) |
0.622214 | + | 0.782847i | \(0.286233\pi\) | |||||||
\(110\) | 16.3042 | + | 6.05287i | 1.55455 | + | 0.577118i | ||||
\(111\) | 27.8220i | 2.64075i | ||||||||
\(112\) | 8.30690 | + | 6.55708i | 0.784929 | + | 0.619586i | ||||
\(113\) | − | 2.00830i | − | 0.188925i | −0.995528 | − | 0.0944627i | \(-0.969887\pi\) | ||
0.995528 | − | 0.0944627i | \(-0.0301133\pi\) | |||||||
\(114\) | 1.07192 | − | 2.88736i | 0.100394 | − | 0.270426i | ||||
\(115\) | −10.6992 | + | 4.43174i | −0.997702 | + | 0.413262i | ||||
\(116\) | 2.15503 | + | 0.709971i | 0.200089 | + | 0.0659192i | ||||
\(117\) | 17.9208 | + | 7.42303i | 1.65678 | + | 0.686260i | ||||
\(118\) | −0.533760 | − | 14.3325i | −0.0491366 | − | 1.31941i | ||||
\(119\) | −11.7025 | + | 10.9829i | −1.07277 | + | 1.00680i | ||||
\(120\) | −24.7247 | − | 7.13718i | −2.25705 | − | 0.651533i | ||||
\(121\) | 2.67618 | + | 2.67618i | 0.243289 | + | 0.243289i | ||||
\(122\) | −6.03869 | − | 5.60506i | −0.546718 | − | 0.507459i | ||||
\(123\) | 2.53542 | − | 6.12104i | 0.228611 | − | 0.551915i | ||||
\(124\) | 2.15944 | − | 2.50753i | 0.193923 | − | 0.225183i | ||||
\(125\) | −0.676609 | + | 0.280260i | −0.0605177 | + | 0.0250673i | ||||
\(126\) | 17.5646 | − | 7.38915i | 1.56478 | − | 0.658278i | ||||
\(127\) | − | 6.27287i | − | 0.556627i | −0.960490 | − | 0.278314i | \(-0.910225\pi\) | ||
0.960490 | − | 0.278314i | \(-0.0897754\pi\) | |||||||
\(128\) | −1.49053 | + | 11.2151i | −0.131746 | + | 0.991284i | ||||
\(129\) | − | 8.75692i | − | 0.771004i | ||||||
\(130\) | −7.18032 | − | 15.6595i | −0.629756 | − | 1.37343i | ||||
\(131\) | −3.49281 | − | 8.43238i | −0.305168 | − | 0.736741i | −0.999848 | − | 0.0174220i | \(-0.994454\pi\) |
0.694680 | − | 0.719319i | \(-0.255546\pi\) | |||||||
\(132\) | −16.5771 | − | 14.2759i | −1.44285 | − | 1.24255i | ||||
\(133\) | 0.834053 | − | 1.84576i | 0.0723216 | − | 0.160047i | ||||
\(134\) | 7.04182 | + | 6.53616i | 0.608321 | + | 0.564638i | ||||
\(135\) | −13.4642 | + | 13.4642i | −1.15882 | + | 1.15882i | ||||
\(136\) | −16.4841 | − | 4.75841i | −1.41350 | − | 0.408030i | ||||
\(137\) | 2.55143 | − | 2.55143i | 0.217983 | − | 0.217983i | −0.589665 | − | 0.807648i | \(-0.700740\pi\) |
0.807648 | + | 0.589665i | \(0.200740\pi\) | |||||||
\(138\) | 14.5573 | − | 0.542135i | 1.23920 | − | 0.0461496i | ||||
\(139\) | −8.39177 | + | 20.2595i | −0.711781 | + | 1.71839i | −0.0162782 | + | 0.999868i | \(0.505182\pi\) |
−0.695503 | + | 0.718524i | \(0.744818\pi\) | |||||||
\(140\) | −15.8979 | − | 5.80254i | −1.34361 | − | 0.490404i | ||||
\(141\) | 12.1886 | − | 5.04870i | 1.02647 | − | 0.425177i | ||||
\(142\) | −4.58584 | − | 1.70247i | −0.384835 | − | 0.142868i | ||||
\(143\) | − | 14.6450i | − | 1.22468i | ||||||
\(144\) | 16.3822 | + | 12.1084i | 1.36518 | + | 1.00903i | ||||
\(145\) | −3.62839 | −0.301321 | ||||||||
\(146\) | 4.20883 | − | 11.3371i | 0.348325 | − | 0.938262i | ||||
\(147\) | 18.8437 | − | 6.43911i | 1.55420 | − | 0.531089i | ||||
\(148\) | −17.4643 | + | 8.80868i | −1.43556 | + | 0.724069i | ||||
\(149\) | −7.77798 | + | 18.7777i | −0.637197 | + | 1.53833i | 0.193202 | + | 0.981159i | \(0.438113\pi\) |
−0.830399 | + | 0.557170i | \(0.811887\pi\) | |||||||
\(150\) | 21.0223 | − | 0.782901i | 1.71647 | − | 0.0639236i | ||||
\(151\) | −8.98967 | − | 8.98967i | −0.731569 | − | 0.731569i | 0.239362 | − | 0.970930i | \(-0.423062\pi\) |
−0.970930 | + | 0.239362i | \(0.923062\pi\) | |||||||
\(152\) | 2.15181 | − | 0.241302i | 0.174535 | − | 0.0195722i | ||||
\(153\) | −21.8446 | + | 21.8446i | −1.76603 | + | 1.76603i | ||||
\(154\) | −10.2290 | − | 10.1169i | −0.824280 | − | 0.815246i | ||||
\(155\) | −2.02512 | + | 4.88907i | −0.162661 | + | 0.392699i | ||||
\(156\) | 1.61182 | + | 21.6102i | 0.129049 | + | 1.73020i | ||||
\(157\) | −2.34614 | + | 0.971802i | −0.187242 | + | 0.0775582i | −0.474335 | − | 0.880345i | \(-0.657311\pi\) |
0.287092 | + | 0.957903i | \(0.407311\pi\) | |||||||
\(158\) | −0.652524 | − | 1.42308i | −0.0519120 | − | 0.113214i | ||||
\(159\) | −32.0484 | −2.54160 | ||||||||
\(160\) | −3.34793 | − | 17.7797i | −0.264677 | − | 1.40561i | ||||
\(161\) | 9.57522 | + | 0.303768i | 0.754633 | + | 0.0239403i | ||||
\(162\) | 2.13179 | − | 0.977485i | 0.167489 | − | 0.0767985i | ||||
\(163\) | −3.00104 | + | 1.24307i | −0.235060 | + | 0.0973649i | −0.497104 | − | 0.867691i | \(-0.665603\pi\) |
0.262044 | + | 0.965056i | \(0.415603\pi\) | |||||||
\(164\) | 4.64499 | − | 0.346452i | 0.362713 | − | 0.0270534i | ||||
\(165\) | 32.3212 | + | 13.3879i | 2.51620 | + | 1.04225i | ||||
\(166\) | 5.50036 | + | 5.10539i | 0.426911 | + | 0.396255i | ||||
\(167\) | 8.33295 | + | 8.33295i | 0.644823 | + | 0.644823i | 0.951737 | − | 0.306914i | \(-0.0992965\pi\) |
−0.306914 | + | 0.951737i | \(0.599297\pi\) | |||||||
\(168\) | 16.2075 | + | 13.8028i | 1.25043 | + | 1.06491i | ||||
\(169\) | −1.06538 | + | 1.06538i | −0.0819521 | + | 0.0819521i | ||||
\(170\) | 27.4177 | − | 1.02107i | 2.10284 | − | 0.0783127i | ||||
\(171\) | 1.49201 | − | 3.60202i | 0.114097 | − | 0.275454i | ||||
\(172\) | 5.49685 | − | 2.77251i | 0.419131 | − | 0.211402i | ||||
\(173\) | −9.15919 | − | 22.1122i | −0.696360 | − | 1.68116i | −0.731556 | − | 0.681782i | \(-0.761205\pi\) |
0.0351954 | − | 0.999380i | \(-0.488795\pi\) | |||||||
\(174\) | 4.27883 | + | 1.58850i | 0.324377 | + | 0.120424i | ||||
\(175\) | 13.8276 | + | 0.438674i | 1.04527 | + | 0.0331606i | ||||
\(176\) | 3.71273 | − | 14.9255i | 0.279857 | − | 1.12505i | ||||
\(177\) | − | 28.8507i | − | 2.16855i | ||||||
\(178\) | −1.81239 | − | 0.672840i | −0.135844 | − | 0.0504315i | ||||
\(179\) | 2.37292 | + | 5.72874i | 0.177360 | + | 0.428186i | 0.987411 | − | 0.158174i | \(-0.0505606\pi\) |
−0.810051 | + | 0.586360i | \(0.800561\pi\) | |||||||
\(180\) | −30.9406 | − | 10.1934i | −2.30618 | − | 0.759768i | ||||
\(181\) | 13.9640 | + | 5.78406i | 1.03793 | + | 0.429926i | 0.835569 | − | 0.549385i | \(-0.185138\pi\) |
0.202363 | + | 0.979311i | \(0.435138\pi\) | |||||||
\(182\) | 0.0785285 | + | 14.2509i | 0.00582092 | + | 1.05634i | ||||
\(183\) | −11.7192 | − | 11.7192i | −0.866310 | − | 0.866310i | ||||
\(184\) | 4.94928 | + | 8.96620i | 0.364865 | + | 0.660997i | ||||
\(185\) | 22.1177 | − | 22.1177i | 1.62613 | − | 1.62613i | ||||
\(186\) | 4.52856 | − | 4.87891i | 0.332050 | − | 0.357739i | ||||
\(187\) | 21.5488 | + | 8.92579i | 1.57580 | + | 0.652718i | ||||
\(188\) | 7.02816 | + | 6.05252i | 0.512581 | + | 0.441425i | ||||
\(189\) | 14.7366 | − | 5.56347i | 1.07193 | − | 0.404683i | ||||
\(190\) | −3.14751 | + | 1.44322i | −0.228344 | + | 0.104702i | ||||
\(191\) | 13.3382i | 0.965119i | 0.875863 | + | 0.482559i | \(0.160293\pi\) | ||||
−0.875863 | + | 0.482559i | \(0.839707\pi\) | |||||||
\(192\) | −3.83581 | + | 22.4327i | −0.276826 | + | 1.61894i | ||||
\(193\) | 7.18938 | 0.517503 | 0.258751 | − | 0.965944i | \(-0.416689\pi\) | ||||
0.258751 | + | 0.965944i | \(0.416689\pi\) | |||||||
\(194\) | 19.1107 | − | 8.76279i | 1.37207 | − | 0.629132i | ||||
\(195\) | −13.2614 | − | 32.0159i | −0.949669 | − | 2.29270i | ||||
\(196\) | 10.0080 | + | 9.78980i | 0.714857 | + | 0.699271i | ||||
\(197\) | 2.93709 | + | 1.21658i | 0.209259 | + | 0.0866779i | 0.484851 | − | 0.874597i | \(-0.338874\pi\) |
−0.275592 | + | 0.961275i | \(0.588874\pi\) | |||||||
\(198\) | −20.2975 | − | 18.8400i | −1.44248 | − | 1.33890i | ||||
\(199\) | 0.332244 | + | 0.332244i | 0.0235522 | + | 0.0235522i | 0.718785 | − | 0.695233i | \(-0.244699\pi\) |
−0.695233 | + | 0.718785i | \(0.744699\pi\) | |||||||
\(200\) | 7.14728 | + | 12.9482i | 0.505389 | + | 0.915573i | ||||
\(201\) | 13.6660 | + | 13.6660i | 0.963924 | + | 0.963924i | ||||
\(202\) | −15.1509 | + | 0.564241i | −1.06602 | + | 0.0396999i | ||||
\(203\) | 2.73526 | + | 1.23600i | 0.191978 | + | 0.0867501i | ||||
\(204\) | −32.7797 | − | 10.7993i | −2.29504 | − | 0.756099i | ||||
\(205\) | −6.88163 | + | 2.85047i | −0.480634 | + | 0.199085i | ||||
\(206\) | −1.11682 | + | 3.00830i | −0.0778125 | + | 0.209599i | ||||
\(207\) | 18.4406 | 1.28171 | ||||||||
\(208\) | −13.0547 | + | 7.85373i | −0.905182 | + | 0.544558i | ||||
\(209\) | −2.94360 | −0.203613 | ||||||||
\(210\) | −31.5231 | − | 12.8543i | −2.17530 | − | 0.887028i | ||||
\(211\) | 9.00756 | + | 21.7462i | 0.620106 | + | 1.49707i | 0.851578 | + | 0.524227i | \(0.175646\pi\) |
−0.231472 | + | 0.972842i | \(0.574354\pi\) | |||||||
\(212\) | −10.1468 | − | 20.1172i | −0.696883 | − | 1.38166i | ||||
\(213\) | −9.09089 | − | 3.76557i | −0.622897 | − | 0.258013i | ||||
\(214\) | −0.716895 | − | 19.2500i | −0.0490060 | − | 1.31590i | ||||
\(215\) | −6.96150 | + | 6.96150i | −0.474771 | + | 0.474771i | ||||
\(216\) | 13.1600 | + | 10.5061i | 0.895425 | + | 0.714850i | ||||
\(217\) | 3.19208 | − | 2.99577i | 0.216692 | − | 0.203366i | ||||
\(218\) | 5.95769 | + | 5.52988i | 0.403506 | + | 0.374531i | ||||
\(219\) | 9.30920 | − | 22.4744i | 0.629057 | − | 1.51868i | ||||
\(220\) | 1.82939 | + | 24.5272i | 0.123337 | + | 1.65362i | ||||
\(221\) | −8.84146 | − | 21.3452i | −0.594741 | − | 1.43583i | ||||
\(222\) | −35.7657 | + | 16.3996i | −2.40044 | + | 1.10067i | ||||
\(223\) | 7.70511 | 0.515972 | 0.257986 | − | 0.966149i | \(-0.416941\pi\) | ||||
0.257986 | + | 0.966149i | \(0.416941\pi\) | |||||||
\(224\) | −3.53277 | + | 14.5437i | −0.236043 | + | 0.971743i | ||||
\(225\) | 26.6302 | 1.77535 | ||||||||
\(226\) | 2.58171 | − | 1.18379i | 0.171733 | − | 0.0787443i | ||||
\(227\) | 6.16725 | + | 14.8891i | 0.409335 | + | 0.988221i | 0.985313 | + | 0.170756i | \(0.0546211\pi\) |
−0.575979 | + | 0.817465i | \(0.695379\pi\) | |||||||
\(228\) | 4.34359 | − | 0.323972i | 0.287661 | − | 0.0214555i | ||||
\(229\) | −0.198027 | + | 0.478080i | −0.0130860 | + | 0.0315924i | −0.930287 | − | 0.366831i | \(-0.880443\pi\) |
0.917201 | + | 0.398424i | \(0.130443\pi\) | |||||||
\(230\) | −12.0037 | − | 11.1417i | −0.791497 | − | 0.734661i | ||||
\(231\) | −19.8048 | − | 21.1026i | −1.30306 | − | 1.38845i | ||||
\(232\) | 0.357590 | + | 3.18881i | 0.0234770 | + | 0.209356i | ||||
\(233\) | 4.36241 | − | 4.36241i | 0.285791 | − | 0.285791i | −0.549622 | − | 0.835413i | \(-0.685228\pi\) |
0.835413 | + | 0.549622i | \(0.185228\pi\) | |||||||
\(234\) | 1.02090 | + | 27.4129i | 0.0667380 | + | 1.79204i | ||||
\(235\) | −13.7032 | − | 5.67605i | −0.893897 | − | 0.370264i | ||||
\(236\) | 18.1100 | − | 9.13436i | 1.17886 | − | 0.594596i | ||||
\(237\) | −1.20515 | − | 2.90949i | −0.0782830 | − | 0.188992i | ||||
\(238\) | −21.0167 | − | 8.57001i | −1.36231 | − | 0.555511i | ||||
\(239\) | 3.77944 | 0.244472 | 0.122236 | − | 0.992501i | \(-0.460994\pi\) | ||||
0.122236 | + | 0.992501i | \(0.460994\pi\) | |||||||
\(240\) | −5.39890 | − | 35.9910i | −0.348497 | − | 2.32321i | ||||
\(241\) | −22.3774 | −1.44145 | −0.720727 | − | 0.693219i | \(-0.756192\pi\) | ||||
−0.720727 | + | 0.693219i | \(0.756192\pi\) | |||||||
\(242\) | −1.86281 | + | 5.01774i | −0.119746 | + | 0.322553i | ||||
\(243\) | −12.1428 | + | 5.02972i | −0.778962 | + | 0.322657i | ||||
\(244\) | 3.64592 | − | 11.0667i | 0.233406 | − | 0.708474i | ||||
\(245\) | −20.0991 | − | 9.86131i | −1.28409 | − | 0.630016i | ||||
\(246\) | 9.36319 | − | 0.348698i | 0.596975 | − | 0.0222322i | ||||
\(247\) | 2.06178 | + | 2.06178i | 0.131188 | + | 0.131188i | ||||
\(248\) | 4.49634 | + | 1.29794i | 0.285518 | + | 0.0824194i | ||||
\(249\) | 10.6745 | + | 10.6745i | 0.676469 | + | 0.676469i | ||||
\(250\) | −0.759104 | − | 0.704594i | −0.0480099 | − | 0.0445624i | ||||
\(251\) | 24.7873 | + | 10.2672i | 1.56456 | + | 0.648062i | 0.985874 | − | 0.167487i | \(-0.0535653\pi\) |
0.578687 | + | 0.815550i | \(0.303565\pi\) | |||||||
\(252\) | 19.8523 | + | 18.2241i | 1.25057 | + | 1.14801i | ||||
\(253\) | −5.32800 | − | 12.8629i | −0.334968 | − | 0.808685i | ||||
\(254\) | 8.06388 | − | 3.69752i | 0.505973 | − | 0.232003i | ||||
\(255\) | 55.1908 | 3.45618 | ||||||||
\(256\) | −15.2958 | + | 4.69458i | −0.955986 | + | 0.293411i | ||||
\(257\) | 20.3506i | 1.26943i | 0.772745 | + | 0.634717i | \(0.218883\pi\) | ||||
−0.772745 | + | 0.634717i | \(0.781117\pi\) | |||||||
\(258\) | 11.2572 | − | 5.16173i | 0.700841 | − | 0.321355i | ||||
\(259\) | −24.2078 | + | 9.13912i | −1.50420 | + | 0.567877i | ||||
\(260\) | 15.8981 | − | 18.4609i | 0.985961 | − | 1.14489i | ||||
\(261\) | 5.33790 | + | 2.21103i | 0.330408 | + | 0.136859i | ||||
\(262\) | 8.78115 | − | 9.46049i | 0.542501 | − | 0.584471i | ||||
\(263\) | −0.00235804 | + | 0.00235804i | −0.000145403 | + | 0.000145403i | −0.707179 | − | 0.707034i | \(-0.750033\pi\) |
0.707034 | + | 0.707179i | \(0.250033\pi\) | |||||||
\(264\) | 8.58058 | − | 29.7249i | 0.528098 | − | 1.82944i | ||||
\(265\) | 25.4775 | + | 25.4775i | 1.56507 | + | 1.56507i | ||||
\(266\) | 2.86438 | − | 0.0157840i | 0.175626 | − | 0.000967779i | ||||
\(267\) | −3.59284 | − | 1.48820i | −0.219878 | − | 0.0910766i | ||||
\(268\) | −4.25157 | + | 12.9051i | −0.259706 | + | 0.788304i | ||||
\(269\) | −0.378530 | − | 0.913852i | −0.0230794 | − | 0.0557186i | 0.911920 | − | 0.410369i | \(-0.134600\pi\) |
−0.934999 | + | 0.354650i | \(0.884600\pi\) | |||||||
\(270\) | −25.2449 | − | 9.37207i | −1.53636 | − | 0.570366i | ||||
\(271\) | − | 23.8384i | − | 1.44808i | −0.689758 | − | 0.724040i | \(-0.742283\pi\) | ||
0.689758 | − | 0.724040i | \(-0.257717\pi\) | |||||||
\(272\) | −3.59948 | − | 23.9954i | −0.218251 | − | 1.45494i | ||||
\(273\) | −0.908988 | + | 28.6526i | −0.0550144 | + | 1.73414i | ||||
\(274\) | 4.78384 | + | 1.77598i | 0.289002 | + | 0.107291i | ||||
\(275\) | −7.69419 | − | 18.5754i | −0.463977 | − | 1.12014i | ||||
\(276\) | 9.27769 | + | 18.3941i | 0.558451 | + | 1.10720i | ||||
\(277\) | 5.61442 | − | 13.5544i | 0.337338 | − | 0.814406i | −0.660631 | − | 0.750710i | \(-0.729711\pi\) |
0.997969 | − | 0.0636954i | \(-0.0202886\pi\) | |||||||
\(278\) | −30.9905 | + | 1.15413i | −1.85868 | + | 0.0692200i | ||||
\(279\) | 5.95850 | − | 5.95850i | 0.356726 | − | 0.356726i | ||||
\(280\) | −1.91167 | − | 23.8573i | −0.114244 | − | 1.42574i | ||||
\(281\) | 9.67927 | + | 9.67927i | 0.577417 | + | 0.577417i | 0.934191 | − | 0.356774i | \(-0.116123\pi\) |
−0.356774 | + | 0.934191i | \(0.616123\pi\) | |||||||
\(282\) | 13.6747 | + | 12.6928i | 0.814318 | + | 0.755843i | ||||
\(283\) | −11.7016 | − | 4.84695i | −0.695586 | − | 0.288121i | 0.00673928 | − | 0.999977i | \(-0.497855\pi\) |
−0.702325 | + | 0.711856i | \(0.747855\pi\) | |||||||
\(284\) | −0.514547 | − | 6.89869i | −0.0305327 | − | 0.409362i | ||||
\(285\) | −6.43509 | + | 2.66550i | −0.381182 | + | 0.157891i | ||||
\(286\) | 18.8264 | − | 8.63244i | 1.11323 | − | 0.510447i | ||||
\(287\) | 6.15872 | + | 0.195382i | 0.363538 | + | 0.0115330i | ||||
\(288\) | −5.90914 | + | 28.1968i | −0.348199 | + | 1.66151i | ||||
\(289\) | 19.7961 | 1.16447 | ||||||||
\(290\) | −2.13874 | − | 4.66435i | −0.125591 | − | 0.273900i | ||||
\(291\) | 39.0718 | − | 16.1841i | 2.29043 | − | 0.948728i | ||||
\(292\) | 17.0549 | − | 1.27206i | 0.998060 | − | 0.0744415i | ||||
\(293\) | −9.95640 | + | 24.0369i | −0.581659 | + | 1.40425i | 0.309649 | + | 0.950851i | \(0.399788\pi\) |
−0.891308 | + | 0.453398i | \(0.850212\pi\) | |||||||
\(294\) | 19.3849 | + | 20.4284i | 1.13055 | + | 1.19141i | ||||
\(295\) | −22.9355 | + | 22.9355i | −1.33536 | + | 1.33536i | ||||
\(296\) | −21.6180 | − | 17.2584i | −1.25652 | − | 1.00312i | ||||
\(297\) | −16.1872 | − | 16.1872i | −0.939276 | − | 0.939276i | ||||
\(298\) | −28.7237 | + | 1.06971i | −1.66392 | + | 0.0619667i | ||||
\(299\) | −5.27766 | + | 12.7414i | −0.305215 | + | 0.736855i | ||||
\(300\) | 13.3980 | + | 26.5631i | 0.773532 | + | 1.53362i | ||||
\(301\) | 7.61934 | − | 2.87652i | 0.439172 | − | 0.165800i | ||||
\(302\) | 6.25745 | − | 16.8553i | 0.360076 | − | 0.969913i | ||||
\(303\) | −30.4982 | −1.75208 | ||||||||
\(304\) | 1.57858 | + | 2.62396i | 0.0905375 | + | 0.150494i | ||||
\(305\) | 18.6329i | 1.06692i | ||||||||
\(306\) | −40.9577 | − | 15.2054i | −2.34140 | − | 0.869233i | ||||
\(307\) | −21.8487 | + | 9.05005i | −1.24697 | + | 0.516513i | −0.905887 | − | 0.423519i | \(-0.860795\pi\) |
−0.341086 | + | 0.940032i | \(0.610795\pi\) | |||||||
\(308\) | 6.97602 | − | 19.1130i | 0.397496 | − | 1.08906i | ||||
\(309\) | −2.47021 | + | 5.96361i | −0.140525 | + | 0.339258i | ||||
\(310\) | −7.47868 | + | 0.278516i | −0.424760 | + | 0.0158187i | ||||
\(311\) | −8.74861 | + | 8.74861i | −0.496088 | + | 0.496088i | −0.910218 | − | 0.414130i | \(-0.864086\pi\) |
0.414130 | + | 0.910218i | \(0.364086\pi\) | |||||||
\(312\) | −26.8302 | + | 14.8101i | −1.51896 | + | 0.838455i | ||||
\(313\) | 7.75137 | − | 7.75137i | 0.438134 | − | 0.438134i | −0.453250 | − | 0.891383i | \(-0.649735\pi\) |
0.891383 | + | 0.453250i | \(0.149735\pi\) | |||||||
\(314\) | −2.63219 | − | 2.44317i | −0.148543 | − | 0.137876i | ||||
\(315\) | −39.2713 | − | 17.7458i | −2.21269 | − | 0.999860i | ||||
\(316\) | 1.44477 | − | 1.67766i | 0.0812747 | − | 0.0943758i | ||||
\(317\) | 11.1587 | + | 26.9395i | 0.626735 | + | 1.51307i | 0.843657 | + | 0.536883i | \(0.180398\pi\) |
−0.216922 | + | 0.976189i | \(0.569602\pi\) | |||||||
\(318\) | −18.8908 | − | 41.1987i | −1.05934 | − | 2.31031i | ||||
\(319\) | − | 4.36218i | − | 0.244235i | ||||||
\(320\) | 20.8827 | − | 14.7840i | 1.16738 | − | 0.826451i | ||||
\(321\) | − | 38.7495i | − | 2.16278i | ||||||
\(322\) | 5.25357 | + | 12.4882i | 0.292770 | + | 0.695938i | ||||
\(323\) | −4.29032 | + | 1.77711i | −0.238720 | + | 0.0988809i | ||||
\(324\) | 2.51315 | + | 2.16428i | 0.139619 | + | 0.120238i | ||||
\(325\) | −7.62151 | + | 18.3999i | −0.422765 | + | 1.02065i | ||||
\(326\) | −3.36694 | − | 3.12517i | −0.186478 | − | 0.173087i | ||||
\(327\) | 11.5620 | + | 11.5620i | 0.639381 | + | 0.639381i | ||||
\(328\) | 3.18334 | + | 5.76700i | 0.175771 | + | 0.318430i | ||||
\(329\) | 8.39662 | + | 8.94683i | 0.462921 | + | 0.493255i | ||||
\(330\) | 1.84125 | + | 49.4409i | 0.101357 | + | 2.72163i | ||||
\(331\) | 25.3356 | + | 10.4943i | 1.39257 | + | 0.576822i | 0.947812 | − | 0.318829i | \(-0.103290\pi\) |
0.444758 | + | 0.895651i | \(0.353290\pi\) | |||||||
\(332\) | −3.32090 | + | 10.0802i | −0.182258 | + | 0.553221i | ||||
\(333\) | −46.0164 | + | 19.0606i | −2.52168 | + | 1.04451i | ||||
\(334\) | −5.80033 | + | 15.6240i | −0.317380 | + | 0.854905i | ||||
\(335\) | − | 21.7281i | − | 1.18714i | ||||||
\(336\) | −8.19026 | + | 28.9709i | −0.446815 | + | 1.58049i | ||||
\(337\) | − | 21.8575i | − | 1.19065i | −0.803484 | − | 0.595326i | \(-0.797023\pi\) | ||
0.803484 | − | 0.595326i | \(-0.202977\pi\) | |||||||
\(338\) | −1.99754 | − | 0.741578i | −0.108652 | − | 0.0403365i | ||||
\(339\) | 5.27831 | − | 2.18635i | 0.286678 | − | 0.118746i | ||||
\(340\) | 17.4738 | + | 34.6440i | 0.947652 | + | 1.87884i | ||||
\(341\) | −5.87781 | − | 2.43467i | −0.318301 | − | 0.131845i | ||||
\(342\) | 5.50992 | − | 0.205197i | 0.297942 | − | 0.0110958i | ||||
\(343\) | 11.7925 | + | 14.2806i | 0.636735 | + | 0.771083i | ||||
\(344\) | 6.80420 | + | 5.43204i | 0.366858 | + | 0.292876i | ||||
\(345\) | −23.2954 | − | 23.2954i | −1.25418 | − | 1.25418i | ||||
\(346\) | 23.0268 | − | 24.8083i | 1.23793 | − | 1.33370i | ||||
\(347\) | 7.23316 | − | 17.4624i | 0.388297 | − | 0.937431i | −0.602005 | − | 0.798493i | \(-0.705631\pi\) |
0.990301 | − | 0.138938i | \(-0.0443689\pi\) | |||||||
\(348\) | 0.480099 | + | 6.43684i | 0.0257360 | + | 0.345051i | ||||
\(349\) | −9.61796 | + | 3.98389i | −0.514838 | + | 0.213253i | −0.624948 | − | 0.780667i | \(-0.714880\pi\) |
0.110110 | + | 0.993919i | \(0.464880\pi\) | |||||||
\(350\) | 7.58672 | + | 18.0342i | 0.405527 | + | 0.963970i | ||||
\(351\) | 22.6759i | 1.21035i | ||||||||
\(352\) | 21.3754 | − | 4.02500i | 1.13931 | − | 0.214533i | ||||
\(353\) | 27.5740i | 1.46762i | 0.679356 | + | 0.733809i | \(0.262259\pi\) | ||||
−0.679356 | + | 0.733809i | \(0.737741\pi\) | |||||||
\(354\) | 37.0881 | − | 17.0059i | 1.97121 | − | 0.903854i | ||||
\(355\) | 4.23348 | + | 10.2205i | 0.224690 | + | 0.542449i | ||||
\(356\) | −0.203356 | − | 2.72646i | −0.0107778 | − | 0.144502i | ||||
\(357\) | −41.6056 | − | 18.8006i | −2.20200 | − | 0.995031i | ||||
\(358\) | −5.96568 | + | 6.42721i | −0.315296 | + | 0.339689i | ||||
\(359\) | −8.43538 | + | 8.43538i | −0.445202 | + | 0.445202i | −0.893756 | − | 0.448554i | \(-0.851939\pi\) |
0.448554 | + | 0.893756i | \(0.351939\pi\) | |||||||
\(360\) | −5.13408 | − | 45.7831i | −0.270590 | − | 2.41298i | ||||
\(361\) | −13.0206 | + | 13.0206i | −0.685296 | + | 0.685296i | ||||
\(362\) | 0.795486 | + | 21.3603i | 0.0418098 | + | 1.12267i | ||||
\(363\) | −4.12022 | + | 9.94708i | −0.216255 | + | 0.522086i | ||||
\(364\) | −18.2734 | + | 8.50106i | −0.957789 | + | 0.445577i | ||||
\(365\) | −25.2670 | + | 10.4660i | −1.32254 | + | 0.547813i | ||||
\(366\) | 8.15742 | − | 21.9731i | 0.426395 | − | 1.14855i | ||||
\(367\) | − | 5.08635i | − | 0.265505i | −0.991149 | − | 0.132753i | \(-0.957618\pi\) | ||
0.991149 | − | 0.132753i | \(-0.0423816\pi\) | |||||||
\(368\) | −8.60888 | + | 11.6475i | −0.448769 | + | 0.607166i | ||||
\(369\) | 11.8609 | 0.617454 | ||||||||
\(370\) | 41.4699 | + | 15.3955i | 2.15592 | + | 0.800375i | ||||
\(371\) | −10.5274 | − | 27.8851i | −0.546555 | − | 1.44772i | ||||
\(372\) | 8.94127 | + | 2.94569i | 0.463583 | + | 0.152727i | ||||
\(373\) | 6.87832 | − | 16.6057i | 0.356146 | − | 0.859812i | −0.639689 | − | 0.768634i | \(-0.720937\pi\) |
0.995835 | − | 0.0911782i | \(-0.0290633\pi\) | |||||||
\(374\) | 1.22757 | + | 32.9626i | 0.0634762 | + | 1.70445i | ||||
\(375\) | −1.47318 | − | 1.47318i | −0.0760749 | − | 0.0760749i | ||||
\(376\) | −3.63790 | + | 12.6025i | −0.187610 | + | 0.649922i | ||||
\(377\) | −3.05539 | + | 3.05539i | −0.157360 | + | 0.157360i | ||||
\(378\) | 15.8383 | + | 15.6647i | 0.814636 | + | 0.805707i | ||||
\(379\) | −8.34162 | + | 20.1385i | −0.428480 | + | 1.03444i | 0.551289 | + | 0.834314i | \(0.314136\pi\) |
−0.979770 | + | 0.200129i | \(0.935864\pi\) | |||||||
\(380\) | −3.71057 | − | 3.19548i | −0.190348 | − | 0.163925i | ||||
\(381\) | 16.4866 | − | 6.82898i | 0.844635 | − | 0.349859i | ||||
\(382\) | −17.1465 | + | 7.86215i | −0.877291 | + | 0.402262i | ||||
\(383\) | 32.0363 | 1.63698 | 0.818490 | − | 0.574520i | \(-0.194811\pi\) | ||||
0.818490 | + | 0.574520i | \(0.194811\pi\) | |||||||
\(384\) | −31.0986 | + | 8.29186i | −1.58700 | + | 0.423142i | ||||
\(385\) | −1.03168 | + | 32.5202i | −0.0525795 | + | 1.65738i | ||||
\(386\) | 4.23775 | + | 9.24207i | 0.215696 | + | 0.470409i | ||||
\(387\) | 14.4835 | − | 5.99928i | 0.736240 | − | 0.304961i | ||||
\(388\) | 22.5294 | + | 19.4019i | 1.14376 | + | 0.984984i | ||||
\(389\) | −16.2987 | − | 6.75115i | −0.826378 | − | 0.342297i | −0.0709103 | − | 0.997483i | \(-0.522590\pi\) |
−0.755468 | + | 0.655186i | \(0.772590\pi\) | |||||||
\(390\) | 33.3401 | − | 35.9194i | 1.68824 | − | 1.81885i | ||||
\(391\) | −15.5312 | − | 15.5312i | −0.785444 | − | 0.785444i | ||||
\(392\) | −6.68578 | + | 18.6360i | −0.337683 | + | 0.941260i | ||||
\(393\) | 18.3599 | − | 18.3599i | 0.926133 | − | 0.926133i | ||||
\(394\) | 0.167318 | + | 4.49279i | 0.00842934 | + | 0.226343i | ||||
\(395\) | −1.35490 | + | 3.27103i | −0.0681726 | + | 0.164583i | ||||
\(396\) | 12.2548 | − | 37.1979i | 0.615828 | − | 1.86927i | ||||
\(397\) | −2.16554 | − | 5.22808i | −0.108685 | − | 0.262390i | 0.860174 | − | 0.510000i | \(-0.170355\pi\) |
−0.968860 | + | 0.247610i | \(0.920355\pi\) | |||||||
\(398\) | −0.231265 | + | 0.622945i | −0.0115923 | + | 0.0312254i | ||||
\(399\) | 5.75909 | + | 0.182704i | 0.288315 | + | 0.00914663i | ||||
\(400\) | −12.4321 | + | 16.8202i | −0.621607 | + | 0.841009i | ||||
\(401\) | − | 6.14660i | − | 0.306946i | −0.988153 | − | 0.153473i | \(-0.950954\pi\) | ||
0.988153 | − | 0.153473i | \(-0.0490459\pi\) | |||||||
\(402\) | −9.51250 | + | 25.6232i | −0.474440 | + | 1.27797i | ||||
\(403\) | 2.41167 | + | 5.82229i | 0.120134 | + | 0.290029i | ||||
\(404\) | −9.65599 | − | 19.1442i | −0.480403 | − | 0.952458i | ||||
\(405\) | −4.90002 | − | 2.02966i | −0.243484 | − | 0.100854i | ||||
\(406\) | 0.0233906 | + | 4.24478i | 0.00116085 | + | 0.210665i | ||||
\(407\) | 26.5907 | + | 26.5907i | 1.31805 | + | 1.31805i | ||||
\(408\) | −5.43925 | − | 48.5045i | −0.269283 | − | 2.40133i | ||||
\(409\) | 17.9686 | − | 17.9686i | 0.888492 | − | 0.888492i | −0.105886 | − | 0.994378i | \(-0.533768\pi\) |
0.994378 | + | 0.105886i | \(0.0337679\pi\) | |||||||
\(410\) | −7.72067 | − | 7.16626i | −0.381297 | − | 0.353916i | ||||
\(411\) | 9.48340 | + | 3.92815i | 0.467782 | + | 0.193761i | ||||
\(412\) | −4.52553 | + | 0.337542i | −0.222957 | + | 0.0166295i | ||||
\(413\) | 25.1028 | − | 9.47702i | 1.23523 | − | 0.466333i | ||||
\(414\) | 10.8698 | + | 23.7058i | 0.534219 | + | 1.16507i | ||||
\(415\) | − | 16.9718i | − | 0.833115i | ||||||
\(416\) | −17.7911 | − | 12.1527i | −0.872283 | − | 0.595836i | ||||
\(417\) | −62.3827 | −3.05489 | ||||||||
\(418\) | −1.73509 | − | 3.78405i | −0.0848663 | − | 0.185084i | ||||
\(419\) | 0.113457 | + | 0.273910i | 0.00554274 | + | 0.0133814i | 0.926627 | − | 0.375983i | \(-0.122695\pi\) |
−0.921084 | + | 0.389364i | \(0.872695\pi\) | |||||||
\(420\) | −2.05680 | − | 48.1004i | −0.100362 | − | 2.34706i | ||||
\(421\) | 8.76089 | + | 3.62888i | 0.426979 | + | 0.176861i | 0.585816 | − | 0.810444i | \(-0.300774\pi\) |
−0.158836 | + | 0.987305i | \(0.550774\pi\) | |||||||
\(422\) | −22.6456 | + | 24.3976i | −1.10237 | + | 1.18766i | ||||
\(423\) | 16.7006 | + | 16.7006i | 0.812012 | + | 0.812012i | ||||
\(424\) | 19.8800 | − | 24.9018i | 0.965460 | − | 1.20934i | ||||
\(425\) | −22.4286 | − | 22.4286i | −1.08795 | − | 1.08795i | ||||
\(426\) | −0.517882 | − | 13.9061i | −0.0250915 | − | 0.673752i | ||||
\(427\) | 6.34723 | − | 14.0464i | 0.307164 | − | 0.679753i | ||||
\(428\) | 24.3236 | − | 12.2684i | 1.17573 | − | 0.593015i | ||||
\(429\) | 38.4906 | − | 15.9433i | 1.85835 | − | 0.769752i | ||||
\(430\) | −13.0526 | − | 4.84570i | −0.629450 | − | 0.233681i | ||||
\(431\) | 11.5129 | 0.554557 | 0.277278 | − | 0.960790i | \(-0.410568\pi\) | ||||
0.277278 | + | 0.960790i | \(0.410568\pi\) | |||||||
\(432\) | −5.74867 | + | 23.1102i | −0.276583 | + | 1.11189i | ||||
\(433\) | 19.8190 | 0.952438 | 0.476219 | − | 0.879327i | \(-0.342007\pi\) | ||||
0.476219 | + | 0.879327i | \(0.342007\pi\) | |||||||
\(434\) | 5.73267 | + | 2.33763i | 0.275177 | + | 0.112210i | ||||
\(435\) | −3.95005 | − | 9.53628i | −0.189391 | − | 0.457229i | ||||
\(436\) | −3.59702 | + | 10.9183i | −0.172266 | + | 0.522891i | ||||
\(437\) | 2.56098 | + | 1.06079i | 0.122508 | + | 0.0507447i | ||||
\(438\) | 34.3785 | − | 1.28030i | 1.64267 | − | 0.0611752i | ||||
\(439\) | −6.31870 | + | 6.31870i | −0.301575 | + | 0.301575i | −0.841630 | − | 0.540055i | \(-0.818403\pi\) |
0.540055 | + | 0.841630i | \(0.318403\pi\) | |||||||
\(440\) | −30.4518 | + | 16.8092i | −1.45173 | + | 0.801345i | ||||
\(441\) | 23.5596 | + | 26.7553i | 1.12189 | + | 1.27406i | ||||
\(442\) | 22.2280 | − | 23.9477i | 1.05728 | − | 1.13907i | ||||
\(443\) | 5.89790 | − | 14.2388i | 0.280218 | − | 0.676505i | −0.719623 | − | 0.694365i | \(-0.755685\pi\) |
0.999840 | + | 0.0178600i | \(0.00568533\pi\) | |||||||
\(444\) | −42.1639 | − | 36.3108i | −2.00101 | − | 1.72323i | ||||
\(445\) | 1.67313 | + | 4.03929i | 0.0793138 | + | 0.191481i | ||||
\(446\) | 4.54174 | + | 9.90505i | 0.215058 | + | 0.469018i | ||||
\(447\) | −57.8198 | −2.73478 | ||||||||
\(448\) | −20.7786 | + | 4.03129i | −0.981695 | + | 0.190461i | ||||
\(449\) | 6.27923 | 0.296335 | 0.148168 | − | 0.988962i | \(-0.452663\pi\) | ||||
0.148168 | + | 0.988962i | \(0.452663\pi\) | |||||||
\(450\) | 15.6971 | + | 34.2336i | 0.739968 | + | 1.61379i | ||||
\(451\) | −3.42693 | − | 8.27335i | −0.161368 | − | 0.389577i | ||||
\(452\) | 3.04356 | + | 2.62105i | 0.143157 | + | 0.123284i | ||||
\(453\) | 13.8404 | − | 33.4136i | 0.650278 | − | 1.56991i | ||||
\(454\) | −15.5049 | + | 16.7044i | −0.727680 | + | 0.783976i | ||||
\(455\) | 23.5006 | − | 22.0554i | 1.10173 | − | 1.03397i | ||||
\(456\) | 2.97678 | + | 5.39279i | 0.139400 | + | 0.252540i | ||||
\(457\) | −3.98322 | + | 3.98322i | −0.186327 | + | 0.186327i | −0.794106 | − | 0.607779i | \(-0.792061\pi\) |
0.607779 | + | 0.794106i | \(0.292061\pi\) | |||||||
\(458\) | −0.731306 | + | 0.0272348i | −0.0341717 | + | 0.00127260i | ||||
\(459\) | −33.3654 | − | 13.8204i | −1.55736 | − | 0.645081i | ||||
\(460\) | 7.24733 | − | 21.9983i | 0.337908 | − | 1.02568i | ||||
\(461\) | 3.51072 | + | 8.47564i | 0.163511 | + | 0.394750i | 0.984305 | − | 0.176474i | \(-0.0564690\pi\) |
−0.820795 | + | 0.571223i | \(0.806469\pi\) | |||||||
\(462\) | 15.4538 | − | 37.8982i | 0.718978 | − | 1.76318i | ||||
\(463\) | −15.9467 | −0.741106 | −0.370553 | − | 0.928811i | \(-0.620832\pi\) | ||||
−0.370553 | + | 0.928811i | \(0.620832\pi\) | |||||||
\(464\) | −3.88849 | + | 2.33932i | −0.180519 | + | 0.108600i | ||||
\(465\) | −15.0543 | −0.698126 | ||||||||
\(466\) | 8.17936 | + | 3.03655i | 0.378902 | + | 0.140666i | ||||
\(467\) | 5.17159 | − | 2.14214i | 0.239313 | − | 0.0991266i | −0.259804 | − | 0.965661i | \(-0.583658\pi\) |
0.499117 | + | 0.866535i | \(0.333658\pi\) | |||||||
\(468\) | −34.6380 | + | 17.4708i | −1.60114 | + | 0.807589i | ||||
\(469\) | −7.40162 | + | 16.3798i | −0.341775 | + | 0.756347i | ||||
\(470\) | −0.780631 | − | 20.9614i | −0.0360078 | − | 0.966877i | ||||
\(471\) | −5.10826 | − | 5.10826i | −0.235376 | − | 0.235376i | ||||
\(472\) | 22.4172 | + | 17.8965i | 1.03184 | + | 0.823753i | ||||
\(473\) | −8.36937 | − | 8.36937i | −0.384824 | − | 0.384824i | ||||
\(474\) | 3.02983 | − | 3.26423i | 0.139165 | − | 0.149931i | ||||
\(475\) | 3.69833 | + | 1.53190i | 0.169691 | + | 0.0702884i | ||||
\(476\) | −1.37128 | − | 32.0688i | −0.0628526 | − | 1.46987i | ||||
\(477\) | −21.9560 | − | 53.0065i | −1.00530 | − | 2.42700i | ||||
\(478\) | 2.22777 | + | 4.85853i | 0.101896 | + | 0.222224i | ||||
\(479\) | −30.2272 | −1.38112 | −0.690559 | − | 0.723276i | \(-0.742635\pi\) | ||||
−0.690559 | + | 0.723276i | \(0.742635\pi\) | |||||||
\(480\) | 43.0847 | − | 28.1551i | 1.96654 | − | 1.28510i | ||||
\(481\) | − | 37.2497i | − | 1.69844i | ||||||
\(482\) | −13.1903 | − | 28.7665i | −0.600800 | − | 1.31028i | ||||
\(483\) | 9.62572 | + | 25.4967i | 0.437985 | + | 1.16014i | ||||
\(484\) | −7.54842 | + | 0.563008i | −0.343110 | + | 0.0255913i | ||||
\(485\) | −43.9269 | − | 18.1951i | −1.99462 | − | 0.826197i | ||||
\(486\) | −13.6233 | − | 12.6450i | −0.617966 | − | 0.573591i | ||||
\(487\) | −7.57237 | + | 7.57237i | −0.343137 | + | 0.343137i | −0.857545 | − | 0.514409i | \(-0.828012\pi\) |
0.514409 | + | 0.857545i | \(0.328012\pi\) | |||||||
\(488\) | 16.3755 | − | 1.83634i | 0.741286 | − | 0.0831271i | ||||
\(489\) | −6.53419 | − | 6.53419i | −0.295486 | − | 0.295486i | ||||
\(490\) | 0.829540 | − | 31.6505i | 0.0374748 | − | 1.42982i | ||||
\(491\) | −22.6703 | − | 9.39037i | −1.02310 | − | 0.423781i | −0.192882 | − | 0.981222i | \(-0.561783\pi\) |
−0.830217 | + | 0.557441i | \(0.811783\pi\) | |||||||
\(492\) | 5.96735 | + | 11.8310i | 0.269029 | + | 0.533383i | ||||
\(493\) | −2.63353 | − | 6.35790i | −0.118608 | − | 0.286345i | ||||
\(494\) | −1.43515 | + | 3.86576i | −0.0645702 | + | 0.173929i | ||||
\(495\) | 62.6297i | 2.81499i | ||||||||
\(496\) | 0.981824 | + | 6.54519i | 0.0440852 | + | 0.293888i | ||||
\(497\) | 0.290179 | − | 9.14686i | 0.0130163 | − | 0.410293i | ||||
\(498\) | −7.43021 | + | 20.0143i | −0.332956 | + | 0.896861i | ||||
\(499\) | −4.84055 | − | 11.6861i | −0.216693 | − | 0.523142i | 0.777731 | − | 0.628597i | \(-0.216370\pi\) |
−0.994424 | + | 0.105454i | \(0.966370\pi\) | |||||||
\(500\) | 0.458317 | − | 1.39116i | 0.0204965 | − | 0.0622146i | ||||
\(501\) | −12.8293 | + | 30.9727i | −0.573171 | + | 1.38376i | ||||
\(502\) | 1.41206 | + | 37.9165i | 0.0630234 | + | 1.69230i | ||||
\(503\) | 26.6004 | − | 26.6004i | 1.18605 | − | 1.18605i | 0.207904 | − | 0.978149i | \(-0.433336\pi\) |
0.978149 | − | 0.207904i | \(-0.0666643\pi\) | |||||||
\(504\) | −11.7255 | + | 36.2625i | −0.522297 | + | 1.61526i | ||||
\(505\) | 24.2452 | + | 24.2452i | 1.07890 | + | 1.07890i | ||||
\(506\) | 13.3949 | − | 14.4312i | 0.595478 | − | 0.641546i | ||||
\(507\) | −3.95989 | − | 1.64024i | −0.175865 | − | 0.0728457i | ||||
\(508\) | 9.50644 | + | 8.18677i | 0.421780 | + | 0.363229i | ||||
\(509\) | −11.1604 | + | 4.62278i | −0.494676 | + | 0.204901i | −0.616052 | − | 0.787705i | \(-0.711269\pi\) |
0.121377 | + | 0.992607i | \(0.461269\pi\) | |||||||
\(510\) | 32.5320 | + | 70.9487i | 1.44054 | + | 3.14166i | ||||
\(511\) | 22.6128 | + | 0.717377i | 1.00033 | + | 0.0317349i | ||||
\(512\) | −15.0510 | − | 16.8958i | −0.665166 | − | 0.746695i | ||||
\(513\) | 4.55778 | 0.201231 | ||||||||
\(514\) | −26.1610 | + | 11.9956i | −1.15391 | + | 0.529102i | ||||
\(515\) | 6.70465 | − | 2.77716i | 0.295442 | − | 0.122376i | ||||
\(516\) | 13.2710 | + | 11.4287i | 0.584223 | + | 0.503122i | ||||
\(517\) | 6.82395 | − | 16.4745i | 0.300117 | − | 0.724546i | ||||
\(518\) | −26.0177 | − | 25.7325i | −1.14315 | − | 1.13062i | ||||
\(519\) | 48.1451 | − | 48.1451i | 2.11334 | − | 2.11334i | ||||
\(520\) | 33.1028 | + | 9.55566i | 1.45166 | + | 0.419044i | ||||
\(521\) | −5.34952 | − | 5.34952i | −0.234367 | − | 0.234367i | 0.580146 | − | 0.814513i | \(-0.302995\pi\) |
−0.814513 | + | 0.580146i | \(0.802995\pi\) | |||||||
\(522\) | 0.304085 | + | 8.16525i | 0.0133094 | + | 0.357383i | ||||
\(523\) | 6.65633 | − | 16.0698i | 0.291061 | − | 0.702684i | −0.708935 | − | 0.705273i | \(-0.750824\pi\) |
0.999997 | + | 0.00258948i | \(0.000824258\pi\) | |||||||
\(524\) | 17.3376 | + | 5.71187i | 0.757398 | + | 0.249524i | ||||
\(525\) | 13.9006 | + | 36.8199i | 0.606670 | + | 1.60695i | ||||
\(526\) | −0.00442124 | − | 0.00164137i | −0.000192775 | − | 7.15670e-5i | ||||
\(527\) | −10.0368 | −0.437210 | ||||||||
\(528\) | 43.2697 | − | 6.49075i | 1.88307 | − | 0.282474i | ||||
\(529\) | − | 9.88898i | − | 0.429956i | ||||||
\(530\) | −17.7342 | + | 47.7694i | −0.770323 | + | 2.07497i | ||||
\(531\) | 47.7177 | − | 19.7653i | 2.07077 | − | 0.857742i | ||||
\(532\) | 1.70869 | + | 3.67291i | 0.0740810 | + | 0.159241i | ||||
\(533\) | −3.39456 | + | 8.19519i | −0.147035 | + | 0.354973i | ||||
\(534\) | −0.204674 | − | 5.49588i | −0.00885711 | − | 0.237830i | ||||
\(535\) | −30.8047 | + | 30.8047i | −1.33180 | + | 1.33180i | ||||
\(536\) | −19.0958 | + | 2.14138i | −0.824812 | + | 0.0924937i | ||||
\(537\) | −12.4732 | + | 12.4732i | −0.538259 | + | 0.538259i | ||||
\(538\) | 0.951650 | − | 1.02527i | 0.0410285 | − | 0.0442027i | ||||
\(539\) | 11.8556 | − | 24.1639i | 0.510658 | − | 1.04081i | ||||
\(540\) | −2.83257 | − | 37.9771i | −0.121894 | − | 1.63427i | ||||
\(541\) | 8.09675 | + | 19.5473i | 0.348107 | + | 0.840403i | 0.996844 | + | 0.0793908i | \(0.0252975\pi\) |
−0.648737 | + | 0.761013i | \(0.724702\pi\) | |||||||
\(542\) | 30.6447 | − | 14.0514i | 1.31630 | − | 0.603561i | ||||
\(543\) | 42.9975i | 1.84520i | ||||||||
\(544\) | 28.7248 | − | 18.7712i | 1.23157 | − | 0.804808i | ||||
\(545\) | − | 18.3830i | − | 0.787439i | ||||||
\(546\) | −37.3692 | + | 15.7206i | −1.59925 | + | 0.672781i | ||||
\(547\) | 31.0425 | − | 12.8582i | 1.32728 | − | 0.549777i | 0.397401 | − | 0.917645i | \(-0.369912\pi\) |
0.929878 | + | 0.367868i | \(0.119912\pi\) | |||||||
\(548\) | 0.536763 | + | 7.19655i | 0.0229294 | + | 0.307421i | ||||
\(549\) | 11.3543 | − | 27.4118i | 0.484591 | − | 1.16991i | ||||
\(550\) | 19.3437 | − | 20.8402i | 0.824819 | − | 0.888630i | ||||
\(551\) | 0.614123 | + | 0.614123i | 0.0261625 | + | 0.0261625i | ||||
\(552\) | −18.1773 | + | 22.7690i | −0.773677 | + | 0.969112i | ||||
\(553\) | 2.13566 | − | 2.00432i | 0.0908174 | − | 0.0852323i | ||||
\(554\) | 20.7338 | − | 0.772156i | 0.880896 | − | 0.0328058i | ||||
\(555\) | 82.2093 | + | 34.0522i | 3.48959 | + | 1.44543i | ||||
\(556\) | −19.7508 | − | 39.1585i | −0.837622 | − | 1.66069i | ||||
\(557\) | 2.73561 | − | 1.13313i | 0.115911 | − | 0.0480121i | −0.323974 | − | 0.946066i | \(-0.605019\pi\) |
0.439885 | + | 0.898054i | \(0.355019\pi\) | |||||||
\(558\) | 11.1720 | + | 4.14754i | 0.472947 | + | 0.175579i | ||||
\(559\) | 11.7243i | 0.495884i | ||||||||
\(560\) | 29.5421 | − | 16.5200i | 1.24838 | − | 0.698099i | ||||
\(561\) | 66.3524i | 2.80140i | ||||||||
\(562\) | −6.73746 | + | 18.1483i | −0.284203 | + | 0.765538i | ||||
\(563\) | −17.2714 | + | 7.15403i | −0.727901 | + | 0.301506i | −0.715689 | − | 0.698419i | \(-0.753887\pi\) |
−0.0122118 | + | 0.999925i | \(0.503887\pi\) | |||||||
\(564\) | −8.25626 | + | 25.0608i | −0.347651 | + | 1.05525i | ||||
\(565\) | −5.93419 | − | 2.45802i | −0.249653 | − | 0.103410i | ||||
\(566\) | −0.666605 | − | 17.8996i | −0.0280195 | − | 0.752375i | ||||
\(567\) | 3.00249 | + | 3.19923i | 0.126093 | + | 0.134355i | ||||
\(568\) | 8.56508 | − | 4.72786i | 0.359383 | − | 0.198377i | ||||
\(569\) | −18.5990 | − | 18.5990i | −0.779710 | − | 0.779710i | 0.200072 | − | 0.979781i | \(-0.435883\pi\) |
−0.979781 | + | 0.200072i | \(0.935883\pi\) | |||||||
\(570\) | −7.21968 | − | 6.70125i | −0.302399 | − | 0.280684i | ||||
\(571\) | −0.407027 | + | 0.982650i | −0.0170335 | + | 0.0411226i | −0.932167 | − | 0.362027i | \(-0.882085\pi\) |
0.915134 | + | 0.403150i | \(0.132085\pi\) | |||||||
\(572\) | 22.1943 | + | 19.1133i | 0.927991 | + | 0.799168i | ||||
\(573\) | −35.0560 | + | 14.5207i | −1.46449 | + | 0.606610i | ||||
\(574\) | 3.37906 | + | 8.03231i | 0.141039 | + | 0.335262i | ||||
\(575\) | 18.9337i | 0.789590i | ||||||||
\(576\) | −39.7305 | + | 9.02417i | −1.65544 | + | 0.376007i | ||||
\(577\) | 34.8381i | 1.45033i | 0.688575 | + | 0.725165i | \(0.258237\pi\) | ||||
−0.688575 | + | 0.725165i | \(0.741763\pi\) | |||||||
\(578\) | 11.6687 | + | 25.4482i | 0.485354 | + | 1.05850i | ||||
\(579\) | 7.82674 | + | 18.8954i | 0.325268 | + | 0.785267i | ||||
\(580\) | 4.73544 | − | 5.49877i | 0.196628 | − | 0.228324i | ||||
\(581\) | −5.78140 | + | 12.7942i | −0.239853 | + | 0.530793i | ||||
\(582\) | 43.8356 | + | 40.6879i | 1.81705 | + | 1.68657i | ||||
\(583\) | −30.6300 | + | 30.6300i | −1.26857 | + | 1.26857i | ||||
\(584\) | 11.6882 | + | 21.1745i | 0.483660 | + | 0.876207i | ||||
\(585\) | 43.8675 | − | 43.8675i | 1.81370 | − | 1.81370i | ||||
\(586\) | −36.7686 | + | 1.36931i | −1.51890 | + | 0.0565657i | ||||
\(587\) | 8.22052 | − | 19.8461i | 0.339297 | − | 0.819136i | −0.658486 | − | 0.752593i | \(-0.728803\pi\) |
0.997784 | − | 0.0665431i | \(-0.0211970\pi\) | |||||||
\(588\) | −14.8347 | + | 36.9611i | −0.611773 | + | 1.52425i | ||||
\(589\) | 1.17026 | − | 0.484738i | 0.0482198 | − | 0.0199733i | ||||
\(590\) | −43.0032 | − | 15.9647i | −1.77041 | − | 0.657257i | ||||
\(591\) | 9.04382i | 0.372013i | ||||||||
\(592\) | 9.44336 | − | 37.9631i | 0.388120 | − | 1.56028i | ||||
\(593\) | −19.4450 | −0.798509 | −0.399255 | − | 0.916840i | \(-0.630731\pi\) | ||||
−0.399255 | + | 0.916840i | \(0.630731\pi\) | |||||||
\(594\) | 11.2674 | − | 30.3504i | 0.462309 | − | 1.24529i | ||||
\(595\) | 18.1293 | + | 48.0212i | 0.743230 | + | 1.96868i | ||||
\(596\) | −18.3062 | − | 36.2943i | −0.749852 | − | 1.48667i | ||||
\(597\) | −0.511519 | + | 1.23492i | −0.0209351 | + | 0.0505417i | ||||
\(598\) | −19.4902 | + | 0.725842i | −0.797013 | + | 0.0296819i | ||||
\(599\) | −21.9027 | − | 21.9027i | −0.894919 | − | 0.894919i | 0.100062 | − | 0.994981i | \(-0.468096\pi\) |
−0.994981 | + | 0.100062i | \(0.968096\pi\) | |||||||
\(600\) | −26.2499 | + | 32.8808i | −1.07165 | + | 1.34235i | ||||
\(601\) | −10.5313 | + | 10.5313i | −0.429581 | + | 0.429581i | −0.888485 | − | 0.458905i | \(-0.848242\pi\) |
0.458905 | + | 0.888485i | \(0.348242\pi\) | |||||||
\(602\) | 8.18900 | + | 8.09924i | 0.333759 | + | 0.330101i | ||||
\(603\) | −13.2405 | + | 31.9653i | −0.539194 | + | 1.30173i | ||||
\(604\) | 25.3562 | − | 1.89122i | 1.03173 | − | 0.0769527i | ||||
\(605\) | 11.1831 | − | 4.63219i | 0.454658 | − | 0.188325i | ||||
\(606\) | −17.9771 | − | 39.2060i | −0.730268 | − | 1.59263i | ||||
\(607\) | −43.5928 | −1.76938 | −0.884689 | − | 0.466182i | \(-0.845629\pi\) | ||||
−0.884689 | + | 0.466182i | \(0.845629\pi\) | |||||||
\(608\) | −2.44266 | + | 3.57597i | −0.0990629 | + | 0.145025i | ||||
\(609\) | −0.270752 | + | 8.53449i | −0.0109714 | + | 0.345835i | ||||
\(610\) | −23.9529 | + | 10.9831i | −0.969825 | + | 0.444692i | ||||
\(611\) | −16.3188 | + | 6.75948i | −0.660190 | + | 0.273459i | ||||
\(612\) | −4.59560 | − | 61.6146i | −0.185766 | − | 2.49062i | ||||
\(613\) | 13.8017 | + | 5.71687i | 0.557447 | + | 0.230902i | 0.643576 | − | 0.765382i | \(-0.277450\pi\) |
−0.0861295 | + | 0.996284i | \(0.527450\pi\) | |||||||
\(614\) | −24.5126 | − | 22.7524i | −0.989249 | − | 0.918213i | ||||
\(615\) | −14.9834 | − | 14.9834i | −0.604190 | − | 0.604190i | ||||
\(616\) | 28.6821 | − | 2.29828i | 1.15563 | − | 0.0926004i | ||||
\(617\) | −6.27325 | + | 6.27325i | −0.252552 | + | 0.252552i | −0.822016 | − | 0.569464i | \(-0.807151\pi\) |
0.569464 | + | 0.822016i | \(0.307151\pi\) | |||||||
\(618\) | −9.12238 | + | 0.339730i | −0.366956 | + | 0.0136659i | ||||
\(619\) | 17.6257 | − | 42.5521i | 0.708436 | − | 1.71031i | 0.00456220 | − | 0.999990i | \(-0.498548\pi\) |
0.703873 | − | 0.710325i | \(-0.251452\pi\) | |||||||
\(620\) | −4.76631 | − | 9.44979i | −0.191420 | − | 0.379513i | ||||
\(621\) | 8.24970 | + | 19.9165i | 0.331049 | + | 0.799223i | ||||
\(622\) | −16.4033 | − | 6.08965i | −0.657713 | − | 0.244173i | ||||
\(623\) | 0.114683 | − | 3.61496i | 0.00459466 | − | 0.144830i | ||||
\(624\) | −34.8535 | − | 25.7610i | −1.39526 | − | 1.03126i | ||||
\(625\) | − | 23.8026i | − | 0.952106i | ||||||
\(626\) | 14.5335 | + | 5.39551i | 0.580877 | + | 0.215648i | ||||
\(627\) | −3.20456 | − | 7.73650i | −0.127978 | − | 0.308966i | ||||
\(628\) | 1.58921 | − | 4.82384i | 0.0634164 | − | 0.192492i | ||||
\(629\) | 54.8094 | + | 22.7028i | 2.18540 | + | 0.905220i | ||||
\(630\) | −0.335829 | − | 60.9441i | −0.0133797 | − | 2.42807i | ||||
\(631\) | −5.38142 | − | 5.38142i | −0.214231 | − | 0.214231i | 0.591831 | − | 0.806062i | \(-0.298405\pi\) |
−0.806062 | + | 0.591831i | \(0.798405\pi\) | |||||||
\(632\) | 3.00827 | + | 0.868387i | 0.119663 | + | 0.0345426i | ||||
\(633\) | −47.3481 | + | 47.3481i | −1.88192 | + | 1.88192i | ||||
\(634\) | −28.0537 | + | 30.2241i | −1.11416 | + | 1.20035i | ||||
\(635\) | −18.5352 | − | 7.67754i | −0.735548 | − | 0.304674i | ||||
\(636\) | 41.8266 | − | 48.5688i | 1.65853 | − | 1.92588i | ||||
\(637\) | −25.2290 | + | 8.62104i | −0.999611 | + | 0.341578i | ||||
\(638\) | 5.60766 | − | 2.57127i | 0.222009 | − | 0.101797i | ||||
\(639\) | − | 17.6157i | − | 0.696865i | ||||||
\(640\) | 31.3143 | + | 18.1307i | 1.23781 | + | 0.716680i | ||||
\(641\) | 41.2818 | 1.63053 | 0.815267 | − | 0.579085i | \(-0.196590\pi\) | ||||
0.815267 | + | 0.579085i | \(0.196590\pi\) | |||||||
\(642\) | 49.8131 | − | 22.8407i | 1.96597 | − | 0.901451i | ||||
\(643\) | −12.0810 | − | 29.1661i | −0.476428 | − | 1.15020i | −0.961273 | − | 0.275599i | \(-0.911124\pi\) |
0.484844 | − | 0.874600i | \(-0.338876\pi\) | |||||||
\(644\) | −12.9570 | + | 14.1147i | −0.510579 | + | 0.556195i | ||||
\(645\) | −25.8752 | − | 10.7178i | −1.01883 | − | 0.422015i | ||||
\(646\) | −4.81341 | − | 4.46777i | −0.189381 | − | 0.175782i | ||||
\(647\) | −9.63079 | − | 9.63079i | −0.378625 | − | 0.378625i | 0.491981 | − | 0.870606i | \(-0.336273\pi\) |
−0.870606 | + | 0.491981i | \(0.836273\pi\) | |||||||
\(648\) | −1.30085 | + | 4.50642i | −0.0511022 | + | 0.177029i | ||||
\(649\) | −27.5739 | − | 27.5739i | −1.08237 | − | 1.08237i | ||||
\(650\) | −28.1459 | + | 1.04819i | −1.10397 | + | 0.0411135i | ||||
\(651\) | 11.3487 | + | 5.12820i | 0.444790 | + | 0.200990i | ||||
\(652\) | 2.03283 | − | 6.17038i | 0.0796116 | − | 0.241651i | ||||
\(653\) | 1.54216 | − | 0.638782i | 0.0603492 | − | 0.0249975i | −0.352305 | − | 0.935885i | \(-0.614602\pi\) |
0.412654 | + | 0.910888i | \(0.364602\pi\) | |||||||
\(654\) | −8.04799 | + | 21.6784i | −0.314701 | + | 0.847691i | ||||
\(655\) | −29.1911 | −1.14059 | ||||||||
\(656\) | −5.53717 | + | 7.49158i | −0.216190 | + | 0.292497i | ||||
\(657\) | 43.5492 | 1.69902 | ||||||||
\(658\) | −6.55195 | + | 16.0677i | −0.255422 | + | 0.626383i | ||||
\(659\) | −8.49117 | − | 20.4995i | −0.330769 | − | 0.798547i | −0.998532 | − | 0.0541724i | \(-0.982748\pi\) |
0.667763 | − | 0.744374i | \(-0.267252\pi\) | |||||||
\(660\) | −62.4718 | + | 31.5097i | −2.43171 | + | 1.22651i | ||||
\(661\) | 2.26338 | + | 0.937521i | 0.0880351 | + | 0.0364653i | 0.426266 | − | 0.904598i | \(-0.359829\pi\) |
−0.338231 | + | 0.941063i | \(0.609829\pi\) | |||||||
\(662\) | 1.44330 | + | 38.7552i | 0.0560953 | + | 1.50626i | ||||
\(663\) | 46.4750 | − | 46.4750i | 1.80494 | − | 1.80494i | ||||
\(664\) | −14.9157 | + | 1.67263i | −0.578842 | + | 0.0649108i | ||||
\(665\) | −4.43307 | − | 4.72355i | −0.171907 | − | 0.183172i | ||||
\(666\) | −51.6269 | − | 47.9196i | −2.00050 | − | 1.85685i | ||||
\(667\) | −1.57201 | + | 3.79517i | −0.0608685 | + | 0.146949i | ||||
\(668\) | −23.5038 | + | 1.75306i | −0.909391 | + | 0.0678280i | ||||
\(669\) | 8.38819 | + | 20.2509i | 0.324306 | + | 0.782944i | ||||
\(670\) | 27.9319 | − | 12.8076i | 1.07910 | − | 0.494799i | ||||
\(671\) | −22.4011 | −0.864787 | ||||||||
\(672\) | −42.0703 | + | 6.54808i | −1.62290 | + | 0.252598i | ||||
\(673\) | −36.2104 | −1.39581 | −0.697904 | − | 0.716192i | \(-0.745884\pi\) | ||||
−0.697904 | + | 0.716192i | \(0.745884\pi\) | |||||||
\(674\) | 28.0981 | − | 12.8838i | 1.08230 | − | 0.496265i | ||||
\(675\) | 11.9134 | + | 28.7616i | 0.458549 | + | 1.10703i | ||||
\(676\) | −0.224131 | − | 3.00499i | −0.00862043 | − | 0.115577i | ||||
\(677\) | −9.96306 | + | 24.0530i | −0.382912 | + | 0.924430i | 0.608488 | + | 0.793563i | \(0.291776\pi\) |
−0.991400 | + | 0.130868i | \(0.958224\pi\) | |||||||
\(678\) | 5.92186 | + | 5.49662i | 0.227428 | + | 0.211096i | ||||
\(679\) | 26.9162 | + | 28.6799i | 1.03295 | + | 1.10063i | ||||
\(680\) | −34.2356 | + | 42.8837i | −1.31288 | + | 1.64452i | ||||
\(681\) | −32.4180 | + | 32.4180i | −1.24226 | + | 1.24226i | ||||
\(682\) | −0.334842 | − | 8.99114i | −0.0128218 | − | 0.344288i | ||||
\(683\) | 25.0462 | + | 10.3745i | 0.958366 | + | 0.396968i | 0.806369 | − | 0.591413i | \(-0.201430\pi\) |
0.151997 | + | 0.988381i | \(0.451430\pi\) | |||||||
\(684\) | 3.51158 | + | 6.96214i | 0.134269 | + | 0.266204i | ||||
\(685\) | −4.41626 | − | 10.6618i | −0.168737 | − | 0.407366i | ||||
\(686\) | −11.4070 | + | 23.5771i | −0.435520 | + | 0.900179i | ||||
\(687\) | −1.47209 | −0.0561638 | ||||||||
\(688\) | −2.97227 | + | 11.9488i | −0.113317 | + | 0.455544i | ||||
\(689\) | 42.9082 | 1.63467 | ||||||||
\(690\) | 16.2152 | − | 43.6779i | 0.617303 | − | 1.66279i | ||||
\(691\) | 24.4380 | − | 10.1225i | 0.929665 | − | 0.385080i | 0.134114 | − | 0.990966i | \(-0.457181\pi\) |
0.795551 | + | 0.605886i | \(0.207181\pi\) | |||||||
\(692\) | 45.4645 | + | 14.9782i | 1.72830 | + | 0.569387i | ||||
\(693\) | 21.3346 | − | 47.2134i | 0.810434 | − | 1.79349i | ||||
\(694\) | 26.7118 | − | 0.994783i | 1.01396 | − | 0.0377614i | ||||
\(695\) | 49.5924 | + | 49.5924i | 1.88115 | + | 1.88115i | ||||
\(696\) | −7.99167 | + | 4.41134i | −0.302924 | + | 0.167211i | ||||
\(697\) | −9.98954 | − | 9.98954i | −0.378381 | − | 0.378381i | ||||
\(698\) | −10.7906 | − | 10.0158i | −0.408431 | − | 0.379102i | ||||
\(699\) | 16.2146 | + | 6.71632i | 0.613294 | + | 0.254035i | ||||
\(700\) | −18.7114 | + | 20.3831i | −0.707223 | + | 0.770407i | ||||
\(701\) | 10.6256 | + | 25.6524i | 0.401322 | + | 0.968877i | 0.987346 | + | 0.158583i | \(0.0506926\pi\) |
−0.586024 | + | 0.810294i | \(0.699307\pi\) | |||||||
\(702\) | −29.1502 | + | 13.3662i | −1.10020 | + | 0.504475i | ||||
\(703\) | −7.48708 | −0.282381 | ||||||||
\(704\) | 17.7739 | + | 25.1060i | 0.669878 | + | 0.946217i | ||||
\(705\) | − | 42.1945i | − | 1.58914i | ||||||
\(706\) | −35.4469 | + | 16.2534i | −1.33406 | + | 0.611705i | ||||
\(707\) | −10.0182 | − | 26.5363i | −0.376773 | − | 0.998001i | ||||
\(708\) | 43.7228 | + | 37.6533i | 1.64320 | + | 1.41510i | ||||
\(709\) | 39.4556 | + | 16.3431i | 1.48179 | + | 0.613777i | 0.969512 | − | 0.245044i | \(-0.0788025\pi\) |
0.512276 | + | 0.858821i | \(0.328802\pi\) | |||||||
\(710\) | −10.6432 | + | 11.4666i | −0.399434 | + | 0.430336i | ||||
\(711\) | 3.98653 | − | 3.98653i | 0.149507 | − | 0.149507i | ||||
\(712\) | 3.38504 | − | 1.86851i | 0.126860 | − | 0.0700256i | ||||
\(713\) | 4.23641 | + | 4.23641i | 0.158655 | + | 0.158655i | ||||
\(714\) | −0.355790 | − | 64.5666i | −0.0133151 | − | 2.41634i | ||||
\(715\) | −43.2735 | − | 17.9245i | −1.61834 | − | 0.670337i | ||||
\(716\) | −11.7787 | − | 3.88049i | −0.440192 | − | 0.145021i | ||||
\(717\) | 4.11450 | + | 9.93328i | 0.153659 | + | 0.370965i | ||||
\(718\) | −15.8160 | − | 5.87163i | −0.590249 | − | 0.219127i | ||||
\(719\) | − | 26.1151i | − | 0.973930i | −0.873422 | − | 0.486965i | \(-0.838104\pi\) | ||
0.873422 | − | 0.486965i | \(-0.161896\pi\) | |||||||
\(720\) | 55.8287 | − | 33.5866i | 2.08061 | − | 1.25170i | ||||
\(721\) | −6.00033 | − | 0.190357i | −0.223464 | − | 0.00708926i | ||||
\(722\) | −24.4132 | − | 9.06328i | −0.908564 | − | 0.337300i | ||||
\(723\) | −24.3612 | − | 58.8131i | −0.906003 | − | 2.18728i | ||||
\(724\) | −26.9901 | + | 13.6133i | −1.00308 | + | 0.505936i | ||||
\(725\) | −2.27015 | + | 5.48063i | −0.0843112 | + | 0.203545i | ||||
\(726\) | −15.2158 | + | 0.566657i | −0.564711 | + | 0.0210306i | ||||
\(727\) | 16.5784 | − | 16.5784i | 0.614858 | − | 0.614858i | −0.329350 | − | 0.944208i | \(-0.606829\pi\) |
0.944208 | + | 0.329350i | \(0.106829\pi\) | |||||||
\(728\) | −21.6995 | − | 18.4799i | −0.804236 | − | 0.684911i | ||||
\(729\) | −29.9564 | − | 29.9564i | −1.10950 | − | 1.10950i | ||||
\(730\) | −28.3477 | − | 26.3121i | −1.04920 | − | 0.973855i | ||||
\(731\) | −17.2511 | − | 7.14566i | −0.638056 | − | 0.264292i | ||||
\(732\) | 33.0552 | − | 2.46546i | 1.22175 | − | 0.0911260i | ||||
\(733\) | −2.35659 | + | 0.976130i | −0.0870425 | + | 0.0360542i | −0.425780 | − | 0.904827i | \(-0.640000\pi\) |
0.338737 | + | 0.940881i | \(0.390000\pi\) | |||||||
\(734\) | 6.53859 | − | 2.99813i | 0.241344 | − | 0.110663i | ||||
\(735\) | 4.03693 | − | 63.5609i | 0.148904 | − | 2.34448i | ||||
\(736\) | −20.0475 | − | 4.20131i | −0.738960 | − | 0.154862i | ||||
\(737\) | 26.1224 | 0.962229 | ||||||||
\(738\) | 6.99136 | + | 15.2474i | 0.257355 | + | 0.561264i | ||||
\(739\) | −24.0385 | + | 9.95707i | −0.884270 | + | 0.366277i | −0.778151 | − | 0.628077i | \(-0.783842\pi\) |
−0.106119 | + | 0.994353i | \(0.533842\pi\) | |||||||
\(740\) | 4.65307 | + | 62.3851i | 0.171050 | + | 2.29332i | ||||
\(741\) | −3.17429 | + | 7.66341i | −0.116610 | + | 0.281523i | ||||
\(742\) | 29.6414 | − | 29.9699i | 1.08817 | − | 1.10023i | ||||
\(743\) | 25.9481 | − | 25.9481i | 0.951945 | − | 0.951945i | −0.0469521 | − | 0.998897i | \(-0.514951\pi\) |
0.998897 | + | 0.0469521i | \(0.0149508\pi\) | |||||||
\(744\) | 1.48365 | + | 13.2305i | 0.0543934 | + | 0.485053i | ||||
\(745\) | 45.9651 | + | 45.9651i | 1.68403 | + | 1.68403i | ||||
\(746\) | 25.4013 | − | 0.945981i | 0.930009 | − | 0.0346348i | ||||
\(747\) | −10.3421 | + | 24.9681i | −0.378399 | + | 0.913535i | ||||
\(748\) | −41.6503 | + | 21.0077i | −1.52289 | + | 0.768117i | ||||
\(749\) | 33.7157 | − | 12.7286i | 1.23194 | − | 0.465093i | ||||
\(750\) | 1.02544 | − | 2.76216i | 0.0374438 | − | 0.100860i | ||||
\(751\) | 24.9290 | 0.909674 | 0.454837 | − | 0.890575i | \(-0.349698\pi\) | ||||
0.454837 | + | 0.890575i | \(0.349698\pi\) | |||||||
\(752\) | −18.3450 | + | 2.75188i | −0.668974 | + | 0.100351i | ||||
\(753\) | 76.3245i | 2.78142i | ||||||||
\(754\) | −5.72874 | − | 2.12677i | −0.208628 | − | 0.0774523i | ||||
\(755\) | −37.5656 | + | 15.5602i | −1.36715 | + | 0.566293i | ||||
\(756\) | −10.8014 | + | 29.5940i | −0.392845 | + | 1.07632i | ||||
\(757\) | 19.4454 | − | 46.9454i | 0.706756 | − | 1.70626i | −0.00119687 | − | 0.999999i | \(-0.500381\pi\) |
0.707953 | − | 0.706260i | \(-0.249619\pi\) | |||||||
\(758\) | −30.8053 | + | 1.14723i | −1.11890 | + | 0.0416693i | ||||
\(759\) | 28.0065 | − | 28.0065i | 1.01657 | − | 1.01657i | ||||
\(760\) | 1.92066 | − | 6.65357i | 0.0696696 | − | 0.241350i | ||||
\(761\) | 1.99722 | − | 1.99722i | 0.0723991 | − | 0.0723991i | −0.669980 | − | 0.742379i | \(-0.733697\pi\) |
0.742379 | + | 0.669980i | \(0.233697\pi\) | |||||||
\(762\) | 18.4967 | + | 17.1685i | 0.670066 | + | 0.621949i | ||||
\(763\) | −6.26209 | + | 13.8580i | −0.226703 | + | 0.501693i | ||||
\(764\) | −20.2138 | − | 17.4078i | −0.731311 | − | 0.629792i | ||||
\(765\) | 37.8107 | + | 91.2830i | 1.36705 | + | 3.30034i | ||||
\(766\) | 18.8837 | + | 41.1833i | 0.682295 | + | 1.48801i | ||||
\(767\) | 38.6269i | 1.39474i | ||||||||
\(768\) | −28.9903 | − | 35.0902i | −1.04610 | − | 1.26621i | ||||
\(769\) | 27.5780i | 0.994489i | 0.867610 | + | 0.497245i | \(0.165655\pi\) | ||||
−0.867610 | + | 0.497245i | \(0.834345\pi\) | |||||||
\(770\) | −42.4134 | + | 17.8426i | −1.52847 | + | 0.643004i | ||||
\(771\) | −53.4862 | + | 22.1547i | −1.92626 | + | 0.797883i | ||||
\(772\) | −9.38292 | + | 10.8954i | −0.337699 | + | 0.392134i | ||||
\(773\) | 16.2364 | − | 39.1981i | 0.583982 | − | 1.40986i | −0.305193 | − | 0.952291i | \(-0.598721\pi\) |
0.889175 | − | 0.457567i | \(-0.151279\pi\) | |||||||
\(774\) | 16.2494 | + | 15.0826i | 0.584074 | + | 0.542133i | ||||
\(775\) | 6.11782 | + | 6.11782i | 0.219759 | + | 0.219759i | ||||
\(776\) | −11.6616 | + | 40.3984i | −0.418628 | + | 1.45022i | ||||
\(777\) | −50.3737 | − | 53.6745i | −1.80715 | − | 1.92556i | ||||
\(778\) | −0.928492 | − | 24.9317i | −0.0332880 | − | 0.893846i | ||||
\(779\) | 1.64721 | + | 0.682296i | 0.0590174 | + | 0.0244458i | ||||
\(780\) | 65.8271 | + | 21.6867i | 2.35699 | + | 0.776508i | ||||
\(781\) | −12.2875 | + | 5.08964i | −0.439681 | + | 0.182122i | ||||
\(782\) | 10.8108 | − | 29.1203i | 0.386593 | − | 1.04134i | ||||
\(783\) | 6.75426i | 0.241378i | ||||||||
\(784\) | −27.8978 | + | 2.39022i | −0.996350 | + | 0.0853651i | ||||
\(785\) | 8.12184i | 0.289881i | ||||||||
\(786\) | 34.4241 | + | 12.7798i | 1.22787 | + | 0.455840i | ||||
\(787\) | 24.4785 | − | 10.1393i | 0.872566 | − | 0.361429i | 0.0989566 | − | 0.995092i | \(-0.468449\pi\) |
0.773609 | + | 0.633663i | \(0.218449\pi\) | |||||||
\(788\) | −5.67693 | + | 2.86334i | −0.202232 | + | 0.102002i | ||||
\(789\) | −0.00876460 | − | 0.00363042i | −0.000312028 | − | 0.000129246i | ||||
\(790\) | −5.00360 | + | 0.186341i | −0.178020 | + | 0.00662972i | ||||
\(791\) | 3.63617 | + | 3.87444i | 0.129287 | + | 0.137759i | ||||
\(792\) | 55.0421 | − | 6.17237i | 1.95584 | − | 0.219326i | ||||
\(793\) | 15.6904 | + | 15.6904i | 0.557181 | + | 0.557181i | ||||
\(794\) | 5.44432 | − | 5.86551i | 0.193212 | − | 0.208159i | ||||
\(795\) | −39.2249 | + | 94.6972i | −1.39116 | + | 3.35857i | ||||
\(796\) | −0.937125 | + | 0.0698966i | −0.0332155 | + | 0.00247742i | ||||
\(797\) | −32.5665 | + | 13.4895i | −1.15357 | + | 0.477822i | −0.875727 | − | 0.482806i | \(-0.839618\pi\) |
−0.277838 | + | 0.960628i | \(0.589618\pi\) | |||||||
\(798\) | 3.15980 | + | 7.51110i | 0.111856 | + | 0.265890i | ||||
\(799\) | − | 28.1314i | − | 0.995216i | ||||||
\(800\) | −28.9507 | − | 6.06713i | −1.02356 | − | 0.214506i | ||||
\(801\) | − | 6.96195i | − | 0.245988i | ||||||
\(802\) | 7.90155 | − | 3.62308i | 0.279014 | − | 0.127936i | ||||
\(803\) | −12.5825 | − | 30.3770i | −0.444028 | − | 1.07198i | ||||
\(804\) | −38.5462 | + | 2.87501i | −1.35942 | + | 0.101394i | ||||
\(805\) | 12.6170 | − | 27.9213i | 0.444690 | − | 0.984097i | ||||
\(806\) | −6.06310 | + | 6.53216i | −0.213564 | + | 0.230086i | ||||
\(807\) | 1.98974 | − | 1.98974i | 0.0700420 | − | 0.0700420i | ||||
\(808\) | 18.9185 | − | 23.6974i | 0.665550 | − | 0.833671i | ||||
\(809\) | 37.6346 | − | 37.6346i | 1.32316 | − | 1.32316i | 0.411960 | − | 0.911202i | \(-0.364844\pi\) |
0.911202 | − | 0.411960i | \(-0.135156\pi\) | |||||||
\(810\) | −0.279140 | − | 7.49543i | −0.00980799 | − | 0.263363i | ||||
\(811\) | −17.3252 | + | 41.8267i | −0.608370 | + | 1.46873i | 0.256403 | + | 0.966570i | \(0.417463\pi\) |
−0.864772 | + | 0.502164i | \(0.832537\pi\) | |||||||
\(812\) | −5.44294 | + | 2.53213i | −0.191010 | + | 0.0888605i | ||||
\(813\) | 62.6530 | − | 25.9517i | 2.19734 | − | 0.910167i | ||||
\(814\) | −18.5091 | + | 49.8566i | −0.648742 | + | 1.74747i | ||||
\(815\) | 10.3890i | 0.363910i | ||||||||
\(816\) | 59.1472 | − | 35.5830i | 2.07057 | − | 1.24565i | ||||
\(817\) | 2.35654 | 0.0824450 | ||||||||
\(818\) | 33.6905 | + | 12.5075i | 1.17796 | + | 0.437313i | ||||
\(819\) | −48.0128 | + | 18.1262i | −1.67770 | + | 0.633381i | ||||
\(820\) | 4.66143 | − | 14.1492i | 0.162784 | − | 0.494111i | ||||
\(821\) | 8.45688 | − | 20.4167i | 0.295147 | − | 0.712548i | −0.704848 | − | 0.709359i | \(-0.748985\pi\) |
0.999995 | − | 0.00318961i | \(-0.00101529\pi\) | |||||||
\(822\) | 0.540242 | + | 14.5065i | 0.0188431 | + | 0.505972i | ||||
\(823\) | −11.6937 | − | 11.6937i | −0.407616 | − | 0.407616i | 0.473291 | − | 0.880906i | \(-0.343066\pi\) |
−0.880906 | + | 0.473291i | \(0.843066\pi\) | |||||||
\(824\) | −3.10147 | − | 5.61868i | −0.108045 | − | 0.195736i | ||||
\(825\) | 40.4444 | − | 40.4444i | 1.40809 | − | 1.40809i | ||||
\(826\) | 26.9796 | + | 26.6839i | 0.938740 | + | 0.928451i | ||||
\(827\) | −8.94330 | + | 21.5910i | −0.310989 | + | 0.750794i | 0.688680 | + | 0.725066i | \(0.258191\pi\) |
−0.999669 | + | 0.0257286i | \(0.991809\pi\) | |||||||
\(828\) | −24.0670 | + | 27.9465i | −0.836387 | + | 0.971208i | ||||
\(829\) | 27.3259 | − | 11.3187i | 0.949067 | − | 0.393116i | 0.146187 | − | 0.989257i | \(-0.453300\pi\) |
0.802880 | + | 0.596141i | \(0.203300\pi\) | |||||||
\(830\) | 21.8176 | − | 10.0040i | 0.757299 | − | 0.347243i | ||||
\(831\) | 41.7364 | 1.44782 | ||||||||
\(832\) | 5.13560 | − | 30.0342i | 0.178045 | − | 1.04125i | ||||
\(833\) | 2.69145 | − | 42.3764i | 0.0932531 | − | 1.46826i | ||||
\(834\) | −36.7712 | − | 80.1940i | −1.27328 | − | 2.77689i | ||||
\(835\) | 34.8213 | − | 14.4235i | 1.20504 | − | 0.499145i | ||||
\(836\) | 3.84172 | − | 4.46099i | 0.132869 | − | 0.154286i | ||||
\(837\) | 9.10102 | + | 3.76977i | 0.314577 | + | 0.130302i | ||||
\(838\) | −0.285239 | + | 0.307306i | −0.00985340 | + | 0.0106157i | ||||
\(839\) | 17.5160 | + | 17.5160i | 0.604720 | + | 0.604720i | 0.941561 | − | 0.336842i | \(-0.109359\pi\) |
−0.336842 | + | 0.941561i | \(0.609359\pi\) | |||||||
\(840\) | 60.6215 | − | 30.9966i | 2.09164 | − | 1.06948i | ||||
\(841\) | 19.5960 | − | 19.5960i | 0.675725 | − | 0.675725i | ||||
\(842\) | 0.499083 | + | 13.4013i | 0.0171995 | + | 0.461839i | ||||
\(843\) | −14.9021 | + | 35.9768i | −0.513255 | + | 1.23911i | ||||
\(844\) | −44.7118 | − | 14.7303i | −1.53905 | − | 0.507037i | ||||
\(845\) | 1.84406 | + | 4.45195i | 0.0634375 | + | 0.153152i | ||||
\(846\) | −11.6248 | + | 31.3131i | −0.399670 | + | 1.07657i | ||||
\(847\) | −10.0083 | − | 0.317508i | −0.343890 | − | 0.0109097i | ||||
\(848\) | 43.7299 | + | 10.8778i | 1.50169 | + | 0.373547i | ||||
\(849\) | − | 36.0312i | − | 1.23659i | ||||||
\(850\) | 15.6119 | − | 42.0529i | 0.535485 | − | 1.44240i | ||||
\(851\) | −13.5518 | − | 32.7170i | −0.464550 | − | 1.12152i | ||||
\(852\) | 17.5713 | − | 8.86263i | 0.601981 | − | 0.303629i | ||||
\(853\) | −8.00010 | − | 3.31375i | −0.273918 | − | 0.113461i | 0.241496 | − | 0.970402i | \(-0.422362\pi\) |
−0.515414 | + | 0.856941i | \(0.672362\pi\) | |||||||
\(854\) | 21.7982 | − | 0.120118i | 0.745921 | − | 0.00411035i | ||||
\(855\) | −8.81723 | − | 8.81723i | −0.301543 | − | 0.301543i | ||||
\(856\) | 30.1087 | + | 24.0368i | 1.02909 | + | 0.821562i | ||||
\(857\) | 6.90014 | − | 6.90014i | 0.235704 | − | 0.235704i | −0.579364 | − | 0.815069i | \(-0.696699\pi\) |
0.815069 | + | 0.579364i | \(0.196699\pi\) | |||||||
\(858\) | 43.1836 | + | 40.0826i | 1.47426 | + | 1.36840i | ||||
\(859\) | −11.1706 | − | 4.62702i | −0.381136 | − | 0.157872i | 0.183886 | − | 0.982948i | \(-0.441132\pi\) |
−0.565022 | + | 0.825076i | \(0.691132\pi\) | |||||||
\(860\) | −1.46454 | − | 19.6356i | −0.0499405 | − | 0.669567i | ||||
\(861\) | 6.19120 | + | 16.3993i | 0.210995 | + | 0.558887i | ||||
\(862\) | 6.78623 | + | 14.8000i | 0.231140 | + | 0.504091i | ||||
\(863\) | − | 14.5084i | − | 0.493871i | −0.969032 | − | 0.246936i | \(-0.920576\pi\) | ||
0.969032 | − | 0.246936i | \(-0.0794237\pi\) | |||||||
\(864\) | −33.0971 | + | 6.23218i | −1.12598 | + | 0.212023i | ||||
\(865\) | −76.5480 | −2.60271 | ||||||||
\(866\) | 11.6822 | + | 25.4776i | 0.396977 | + | 0.865764i | ||||
\(867\) | 21.5510 | + | 52.0288i | 0.731911 | + | 1.76699i | ||||
\(868\) | 0.374042 | + | 8.74735i | 0.0126958 | + | 0.296905i | ||||
\(869\) | −3.93255 | − | 1.62891i | −0.133403 | − | 0.0552571i | ||||
\(870\) | 9.93070 | − | 10.6990i | 0.336682 | − | 0.362729i | ||||
\(871\) | −18.2968 | − | 18.2968i | −0.619963 | − | 0.619963i | ||||
\(872\) | −16.1559 | + | 1.81170i | −0.547107 | + | 0.0613521i | ||||
\(873\) | 53.5355 | + | 53.5355i | 1.81190 | + | 1.81190i | ||||
\(874\) | 0.145892 | + | 3.91747i | 0.00493487 | + | 0.132510i | ||||
\(875\) | 0.797889 | − | 1.76573i | 0.0269736 | − | 0.0596924i | ||||
\(876\) | 21.9101 | + | 43.4394i | 0.740273 | + | 1.46768i | ||||
\(877\) | −7.10539 | + | 2.94315i | −0.239932 | + | 0.0993831i | −0.499410 | − | 0.866366i | \(-0.666450\pi\) |
0.259477 | + | 0.965749i | \(0.416450\pi\) | |||||||
\(878\) | −11.8473 | − | 4.39826i | −0.399828 | − | 0.148434i | ||||
\(879\) | −74.0137 | −2.49642 | ||||||||
\(880\) | −39.5581 | − | 29.2382i | −1.33350 | − | 0.985620i | ||||
\(881\) | −52.4173 | −1.76598 | −0.882992 | − | 0.469388i | \(-0.844475\pi\) | ||||
−0.882992 | + | 0.469388i | \(0.844475\pi\) | |||||||
\(882\) | −20.5072 | + | 46.0571i | −0.690514 | + | 1.55082i | ||||
\(883\) | 2.47189 | + | 5.96768i | 0.0831858 | + | 0.200828i | 0.959999 | − | 0.280002i | \(-0.0903352\pi\) |
−0.876814 | + | 0.480831i | \(0.840335\pi\) | |||||||
\(884\) | 43.8874 | + | 14.4587i | 1.47609 | + | 0.486297i | ||||
\(885\) | −85.2487 | − | 35.3112i | −2.86560 | − | 1.18697i | ||||
\(886\) | 21.7807 | − | 0.811143i | 0.731737 | − | 0.0272509i | ||||
\(887\) | −0.815930 | + | 0.815930i | −0.0273963 | + | 0.0273963i | −0.720672 | − | 0.693276i | \(-0.756167\pi\) |
0.693276 | + | 0.720672i | \(0.256167\pi\) | |||||||
\(888\) | 21.8248 | − | 75.6056i | 0.732392 | − | 2.53716i | ||||
\(889\) | 11.3574 | + | 12.1017i | 0.380917 | + | 0.405877i | ||||
\(890\) | −4.20635 | + | 4.53177i | −0.140997 | + | 0.151905i | ||||
\(891\) | 2.44013 | − | 5.89098i | 0.0817473 | − | 0.197355i | ||||
\(892\) | −10.0560 | + | 11.6770i | −0.336700 | + | 0.390974i | ||||
\(893\) | 1.35864 | + | 3.28004i | 0.0454650 | + | 0.109762i | ||||
\(894\) | −34.0816 | − | 74.3283i | −1.13986 | − | 2.48591i | ||||
\(895\) | 19.8317 | 0.662900 | ||||||||
\(896\) | −17.4301 | − | 24.3350i | −0.582300 | − | 0.812974i | ||||
\(897\) | −39.2330 | −1.30995 | ||||||||
\(898\) | 3.70126 | + | 8.07205i | 0.123513 | + | 0.269368i | ||||
\(899\) | 0.718342 | + | 1.73423i | 0.0239581 | + | 0.0578399i | ||||
\(900\) | −34.7553 | + | 40.3577i | −1.15851 | + | 1.34526i | ||||
\(901\) | −26.1515 | + | 63.1353i | −0.871232 | + | 2.10334i | ||||
\(902\) | 8.61554 | − | 9.28207i | 0.286866 | − | 0.309059i | ||||
\(903\) | 15.8550 | + | 16.8939i | 0.527621 | + | 0.562195i | ||||
\(904\) | −1.57540 | + | 5.45751i | −0.0523970 | + | 0.181514i | ||||
\(905\) | 34.1817 | − | 34.1817i | 1.13624 | − | 1.13624i | ||||
\(906\) | 51.1119 | − | 1.90348i | 1.69808 | − | 0.0632389i | ||||
\(907\) | −3.45756 | − | 1.43217i | −0.114807 | − | 0.0475544i | 0.324541 | − | 0.945872i | \(-0.394790\pi\) |
−0.439347 | + | 0.898317i | \(0.644790\pi\) | |||||||
\(908\) | −30.6131 | − | 10.0854i | −1.01593 | − | 0.334697i | ||||
\(909\) | −20.8940 | − | 50.4427i | −0.693012 | − | 1.67308i | ||||
\(910\) | 42.2049 | + | 17.2100i | 1.39908 | + | 0.570506i | ||||
\(911\) | −8.87634 | −0.294086 | −0.147043 | − | 0.989130i | \(-0.546976\pi\) | ||||
−0.147043 | + | 0.989130i | \(0.546976\pi\) | |||||||
\(912\) | −5.17787 | + | 7.00546i | −0.171456 | + | 0.231974i | ||||
\(913\) | 20.4042 | 0.675279 | ||||||||
\(914\) | −7.46839 | − | 2.77260i | −0.247032 | − | 0.0917096i | ||||
\(915\) | −48.9717 | + | 20.2848i | −1.61896 | + | 0.670593i | ||||
\(916\) | −0.466076 | − | 0.924053i | −0.0153996 | − | 0.0305316i | ||||
\(917\) | 22.0057 | + | 9.94387i | 0.726694 | + | 0.328375i | ||||
\(918\) | −1.90073 | − | 51.0382i | −0.0627335 | − | 1.68451i | ||||
\(919\) | −13.7732 | − | 13.7732i | −0.454334 | − | 0.454334i | 0.442456 | − | 0.896790i | \(-0.354107\pi\) |
−0.896790 | + | 0.442456i | \(0.854107\pi\) | |||||||
\(920\) | 32.5511 | − | 3.65025i | 1.07318 | − | 0.120345i | ||||
\(921\) | −47.5714 | − | 47.5714i | −1.56753 | − | 1.56753i | ||||
\(922\) | −8.82619 | + | 9.50902i | −0.290675 | + | 0.313163i | ||||
\(923\) | 12.1714 | + | 5.04156i | 0.400626 | + | 0.165945i | ||||
\(924\) | 57.8280 | − | 2.47276i | 1.90240 | − | 0.0813478i | ||||
\(925\) | −19.5702 | − | 47.2468i | −0.643466 | − | 1.55346i | ||||
\(926\) | −9.39971 | − | 20.4998i | −0.308894 | − | 0.673664i | ||||
\(927\) | −11.5559 | −0.379544 | ||||||||
\(928\) | −5.29929 | − | 3.61982i | −0.173958 | − | 0.118826i | ||||
\(929\) | 12.8883i | 0.422850i | 0.977394 | + | 0.211425i | \(0.0678104\pi\) | ||||
−0.977394 | + | 0.211425i | \(0.932190\pi\) | |||||||
\(930\) | −8.87369 | − | 19.3526i | −0.290980 | − | 0.634595i | ||||
\(931\) | 1.73280 | + | 5.07096i | 0.0567903 | + | 0.166194i | ||||
\(932\) | 0.917753 | + | 12.3046i | 0.0300620 | + | 0.403050i | ||||
\(933\) | −32.5176 | − | 13.4692i | −1.06458 | − | 0.440963i | ||||
\(934\) | 5.80214 | + | 5.38549i | 0.189852 | + | 0.176219i | ||||
\(935\) | 52.7482 | − | 52.7482i | 1.72505 | − | 1.72505i | ||||
\(936\) | −42.8763 | − | 34.2297i | −1.40146 | − | 1.11883i | ||||
\(937\) | −21.1473 | − | 21.1473i | −0.690851 | − | 0.690851i | 0.271568 | − | 0.962419i | \(-0.412458\pi\) |
−0.962419 | + | 0.271568i | \(0.912458\pi\) | |||||||
\(938\) | −25.4193 | + | 0.140072i | −0.829970 | + | 0.00457350i | ||||
\(939\) | 28.8110 | + | 11.9339i | 0.940213 | + | 0.389449i | ||||
\(940\) | 26.4861 | − | 13.3591i | 0.863881 | − | 0.435727i | ||||
\(941\) | −6.12063 | − | 14.7765i | −0.199527 | − | 0.481700i | 0.792170 | − | 0.610301i | \(-0.208951\pi\) |
−0.991696 | + | 0.128601i | \(0.958951\pi\) | |||||||
\(942\) | 3.55571 | − | 9.57779i | 0.115851 | − | 0.312061i | ||||
\(943\) | 8.43292i | 0.274614i | ||||||||
\(944\) | −9.79250 | + | 39.3667i | −0.318719 | + | 1.28128i | ||||
\(945\) | 1.59743 | − | 50.3532i | 0.0519643 | − | 1.63799i | ||||
\(946\) | 5.82568 | − | 15.6923i | 0.189409 | − | 0.510199i | ||||
\(947\) | 21.5497 | + | 52.0256i | 0.700272 | + | 1.69061i | 0.722985 | + | 0.690864i | \(0.242770\pi\) |
−0.0227128 | + | 0.999742i | \(0.507230\pi\) | |||||||
\(948\) | 5.98215 | + | 1.97081i | 0.194291 | + | 0.0640091i | ||||
\(949\) | −12.4637 | + | 30.0900i | −0.404588 | + | 0.976762i | ||||
\(950\) | 0.210683 | + | 5.65724i | 0.00683547 | + | 0.183545i | ||||
\(951\) | −58.6555 | + | 58.6555i | −1.90203 | + | 1.90203i | ||||
\(952\) | 40.4167 | − | 20.6656i | 1.30991 | − | 0.669777i | ||||
\(953\) | 36.1820 | + | 36.1820i | 1.17205 | + | 1.17205i | 0.981720 | + | 0.190330i | \(0.0609558\pi\) |
0.190330 | + | 0.981720i | \(0.439044\pi\) | |||||||
\(954\) | 55.1989 | − | 59.4693i | 1.78713 | − | 1.92539i | ||||
\(955\) | 39.4120 | + | 16.3250i | 1.27534 | + | 0.528265i | ||||
\(956\) | −4.93257 | + | 5.72768i | −0.159531 | + | 0.185246i | ||||
\(957\) | 11.4649 | − | 4.74890i | 0.370606 | − | 0.153510i | ||||
\(958\) | −17.8173 | − | 38.8576i | −0.575651 | − | 1.25543i | ||||
\(959\) | −0.302708 | + | 9.54178i | −0.00977494 | + | 0.308120i | ||||
\(960\) | 61.5900 | + | 38.7902i | 1.98781 | + | 1.25195i | ||||
\(961\) | −28.2623 | −0.911687 | ||||||||
\(962\) | 47.8852 | − | 21.9567i | 1.54388 | − | 0.707912i | ||||
\(963\) | 64.0898 | − | 26.5469i | 2.06527 | − | 0.855461i | ||||
\(964\) | 29.2049 | − | 33.9126i | 0.940626 | − | 1.09225i | ||||
\(965\) | 8.79929 | − | 21.2434i | 0.283259 | − | 0.683848i | ||||
\(966\) | −27.1026 | + | 27.4029i | −0.872011 | + | 0.881675i | ||||
\(967\) | 14.2200 | − | 14.2200i | 0.457283 | − | 0.457283i | −0.440479 | − | 0.897763i | \(-0.645192\pi\) |
0.897763 | + | 0.440479i | \(0.145192\pi\) | |||||||
\(968\) | −5.17314 | − | 9.37176i | −0.166271 | − | 0.301220i | ||||
\(969\) | −9.34133 | − | 9.34133i | −0.300087 | − | 0.300087i | ||||
\(970\) | −2.50239 | − | 67.1938i | −0.0803468 | − | 2.15746i | ||||
\(971\) | −20.4821 | + | 49.4483i | −0.657303 | + | 1.58687i | 0.144649 | + | 0.989483i | \(0.453795\pi\) |
−0.801952 | + | 0.597388i | \(0.796205\pi\) | |||||||
\(972\) | 8.22522 | − | 24.9666i | 0.263824 | − | 0.800803i | ||||
\(973\) | −20.4918 | − | 54.2787i | −0.656935 | − | 1.74010i | ||||
\(974\) | −14.1979 | − | 5.27091i | −0.454930 | − | 0.168891i | ||||
\(975\) | −56.6567 | −1.81447 | ||||||||
\(976\) | 12.0131 | + | 19.9686i | 0.384531 | + | 0.639179i | ||||
\(977\) | 32.6671i | 1.04511i | 0.852604 | + | 0.522557i | \(0.175022\pi\) | ||||
−0.852604 | + | 0.522557i | \(0.824978\pi\) | |||||||
\(978\) | 4.54826 | − | 12.2514i | 0.145437 | − | 0.391755i | ||||
\(979\) | −4.85618 | + | 2.01149i | −0.155204 | + | 0.0642876i | ||||
\(980\) | 41.1762 | − | 17.5898i | 1.31533 | − | 0.561887i | ||||
\(981\) | −11.2020 | + | 27.0441i | −0.357653 | + | 0.863451i | ||||
\(982\) | −1.29146 | − | 34.6782i | −0.0412123 | − | 1.10663i | ||||
\(983\) | −27.7166 | + | 27.7166i | −0.884022 | + | 0.884022i | −0.993941 | − | 0.109918i | \(-0.964941\pi\) |
0.109918 | + | 0.993941i | \(0.464941\pi\) | |||||||
\(984\) | −11.6915 | + | 14.6449i | −0.372712 | + | 0.466861i | ||||
\(985\) | 7.18957 | − | 7.18957i | 0.229079 | − | 0.229079i | ||||
\(986\) | 6.62086 | − | 7.13308i | 0.210851 | − | 0.227163i | ||||
\(987\) | −14.3734 | + | 31.8083i | −0.457511 | + | 1.01247i | ||||
\(988\) | −5.81544 | + | 0.433751i | −0.185014 | + | 0.0137995i | ||||
\(989\) | 4.26540 | + | 10.2976i | 0.135632 | + | 0.327444i | ||||
\(990\) | −80.5115 | + | 36.9168i | −2.55882 | + | 1.17329i | ||||
\(991\) | 22.2562i | 0.706992i | 0.935436 | + | 0.353496i | \(0.115007\pi\) | ||||
−0.935436 | + | 0.353496i | \(0.884993\pi\) | |||||||
\(992\) | −7.83522 | + | 5.12018i | −0.248769 | + | 0.162566i | ||||
\(993\) | 78.0128i | 2.47566i | ||||||||
\(994\) | 11.9295 | − | 5.01854i | 0.378380 | − | 0.159179i | ||||
\(995\) | 1.38837 | − | 0.575080i | 0.0440141 | − | 0.0182313i | ||||
\(996\) | −30.1084 | + | 2.24567i | −0.954021 | + | 0.0711568i | ||||
\(997\) | 8.69711 | − | 20.9967i | 0.275440 | − | 0.664971i | −0.724258 | − | 0.689529i | \(-0.757818\pi\) |
0.999698 | + | 0.0245574i | \(0.00781765\pi\) | |||||||
\(998\) | 12.1695 | − | 13.1109i | 0.385218 | − | 0.415019i | ||||
\(999\) | −41.1723 | − | 41.1723i | −1.30263 | − | 1.30263i |
(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 | 224.2.x.b.27.20 | yes | 112 | |
4.3 | odd | 2 | 896.2.x.b.783.3 | 112 | |||
7.6 | odd | 2 | inner | 224.2.x.b.27.19 | ✓ | 112 | |
28.27 | even | 2 | 896.2.x.b.783.26 | 112 | |||
32.13 | even | 8 | 896.2.x.b.111.26 | 112 | |||
32.19 | odd | 8 | inner | 224.2.x.b.83.19 | yes | 112 | |
224.13 | odd | 8 | 896.2.x.b.111.3 | 112 | |||
224.83 | even | 8 | inner | 224.2.x.b.83.20 | yes | 112 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.x.b.27.19 | ✓ | 112 | 7.6 | odd | 2 | inner | |
224.2.x.b.27.20 | yes | 112 | 1.1 | even | 1 | trivial | |
224.2.x.b.83.19 | yes | 112 | 32.19 | odd | 8 | inner | |
224.2.x.b.83.20 | yes | 112 | 224.83 | even | 8 | inner | |
896.2.x.b.111.3 | 112 | 224.13 | odd | 8 | |||
896.2.x.b.111.26 | 112 | 32.13 | even | 8 | |||
896.2.x.b.783.3 | 112 | 4.3 | odd | 2 | |||
896.2.x.b.783.26 | 112 | 28.27 | even | 2 |