Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [84,2,Mod(19,84)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(84, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("84.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 84 = 2^{2} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 84.o (of order \(6\), degree \(2\), 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: | \(0.670743376979\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.562828176.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + x^{6} + 2x^{5} - 6x^{4} + 4x^{3} + 4x^{2} - 16x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Root | \(-1.33790 + 0.458297i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 84.19 |
Dual form | 84.2.o.a.31.1 |
$q$-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 \(\left(\mathbb{Z}/84\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(43\) | \(73\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.06584 | + | 0.929502i | −0.753666 | + | 0.657257i | ||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0.272050 | − | 1.98141i | 0.136025 | − | 0.990705i | ||||
\(5\) | 2.12403 | + | 1.22631i | 0.949894 | + | 0.548422i | 0.893048 | − | 0.449961i | \(-0.148562\pi\) |
0.0568460 | + | 0.998383i | \(0.481896\pi\) | |||||||
\(6\) | 1.33790 | + | 0.458297i | 0.546193 | + | 0.187099i | ||||
\(7\) | 2.63169 | − | 0.272415i | 0.994685 | − | 0.102963i | ||||
\(8\) | 1.55176 | + | 2.36475i | 0.548631 | + | 0.836065i | ||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | −3.40374 | + | 0.667235i | −1.07636 | + | 0.210998i | ||||
\(11\) | −1.09586 | + | 0.632697i | −0.330415 | + | 0.190765i | −0.656025 | − | 0.754739i | \(-0.727764\pi\) |
0.325610 | + | 0.945504i | \(0.394430\pi\) | |||||||
\(12\) | −1.85198 | + | 0.755103i | −0.534620 | + | 0.217979i | ||||
\(13\) | − | 2.99744i | − | 0.831342i | −0.909515 | − | 0.415671i | \(-0.863547\pi\) | ||
0.909515 | − | 0.415671i | \(-0.136453\pi\) | |||||||
\(14\) | −2.55176 | + | 2.73651i | −0.681987 | + | 0.731364i | ||||
\(15\) | − | 2.45262i | − | 0.633263i | ||||||
\(16\) | −3.85198 | − | 1.07809i | −0.962994 | − | 0.269522i | ||||
\(17\) | 1.58759 | − | 0.916595i | 0.385047 | − | 0.222307i | −0.294965 | − | 0.955508i | \(-0.595308\pi\) |
0.680012 | + | 0.733201i | \(0.261975\pi\) | |||||||
\(18\) | −0.272050 | − | 1.38780i | −0.0641229 | − | 0.327108i | ||||
\(19\) | −2.07993 | + | 3.60254i | −0.477168 | + | 0.826479i | −0.999658 | − | 0.0261665i | \(-0.991670\pi\) |
0.522490 | + | 0.852646i | \(0.325003\pi\) | |||||||
\(20\) | 3.00766 | − | 3.87495i | 0.672534 | − | 0.866466i | ||||
\(21\) | −1.55176 | − | 2.14290i | −0.338622 | − | 0.467620i | ||||
\(22\) | 0.579927 | − | 1.69296i | 0.123641 | − | 0.360941i | ||||
\(23\) | −5.83564 | − | 3.36921i | −1.21682 | − | 0.702529i | −0.252580 | − | 0.967576i | \(-0.581279\pi\) |
−0.964236 | + | 0.265047i | \(0.914613\pi\) | |||||||
\(24\) | 1.27205 | − | 2.52624i | 0.259656 | − | 0.515667i | ||||
\(25\) | 0.507662 | + | 0.879296i | 0.101532 | + | 0.175859i | ||||
\(26\) | 2.78613 | + | 3.19481i | 0.546406 | + | 0.626554i | ||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | 0.176187 | − | 5.28857i | 0.0332962 | − | 0.999446i | ||||
\(29\) | −9.42323 | −1.74985 | −0.874925 | − | 0.484258i | \(-0.839090\pi\) | ||||
−0.874925 | + | 0.484258i | \(0.839090\pi\) | |||||||
\(30\) | 2.27971 | + | 2.61411i | 0.416217 | + | 0.477269i | ||||
\(31\) | 4.71989 | + | 8.17509i | 0.847717 | + | 1.46829i | 0.883240 | + | 0.468921i | \(0.155357\pi\) |
−0.0355228 | + | 0.999369i | \(0.511310\pi\) | |||||||
\(32\) | 5.10769 | − | 2.43135i | 0.902921 | − | 0.429806i | ||||
\(33\) | 1.09586 | + | 0.632697i | 0.190765 | + | 0.110138i | ||||
\(34\) | −0.840146 | + | 2.45262i | −0.144084 | + | 0.420620i | ||||
\(35\) | 5.92385 | + | 2.64865i | 1.00131 | + | 0.447703i | ||||
\(36\) | 1.57993 | + | 1.22631i | 0.263321 | + | 0.204385i | ||||
\(37\) | −3.75572 | + | 6.50509i | −0.617436 | + | 1.06943i | 0.372516 | + | 0.928026i | \(0.378495\pi\) |
−0.989952 | + | 0.141405i | \(0.954838\pi\) | |||||||
\(38\) | −1.13169 | − | 5.77304i | −0.183584 | − | 0.936512i | ||||
\(39\) | −2.59586 | + | 1.49872i | −0.415671 | + | 0.239988i | ||||
\(40\) | 0.396078 | + | 6.92573i | 0.0626254 | + | 1.09505i | ||||
\(41\) | 1.08966i | 0.170176i | 0.996373 | + | 0.0850880i | \(0.0271171\pi\) | ||||
−0.996373 | + | 0.0850880i | \(0.972883\pi\) | |||||||
\(42\) | 3.64577 | + | 0.841635i | 0.562555 | + | 0.129867i | ||||
\(43\) | − | 6.27176i | − | 0.956435i | −0.878241 | − | 0.478218i | \(-0.841283\pi\) | ||
0.878241 | − | 0.478218i | \(-0.158717\pi\) | |||||||
\(44\) | 0.955503 | + | 2.34348i | 0.144047 | + | 0.353293i | ||||
\(45\) | −2.12403 | + | 1.22631i | −0.316631 | + | 0.182807i | ||||
\(46\) | 9.35158 | − | 1.83319i | 1.37882 | − | 0.270289i | ||||
\(47\) | 3.67579 | − | 6.36666i | 0.536169 | − | 0.928672i | −0.462937 | − | 0.886391i | \(-0.653204\pi\) |
0.999106 | − | 0.0422808i | \(-0.0134624\pi\) | |||||||
\(48\) | 0.992338 | + | 3.87495i | 0.143232 | + | 0.559301i | ||||
\(49\) | 6.85158 | − | 1.43382i | 0.978797 | − | 0.204832i | ||||
\(50\) | −1.35840 | − | 0.465320i | −0.192106 | − | 0.0658063i | ||||
\(51\) | −1.58759 | − | 0.916595i | −0.222307 | − | 0.128349i | ||||
\(52\) | −5.93917 | − | 0.815456i | −0.823615 | − | 0.113083i | ||||
\(53\) | 0.0358262 | + | 0.0620528i | 0.00492111 | + | 0.00852361i | 0.868475 | − | 0.495732i | \(-0.165100\pi\) |
−0.863554 | + | 0.504256i | \(0.831767\pi\) | |||||||
\(54\) | −1.06584 | + | 0.929502i | −0.145043 | + | 0.126489i | ||||
\(55\) | −3.10353 | −0.418479 | ||||||||
\(56\) | 4.72795 | + | 5.80056i | 0.631799 | + | 0.775132i | ||||
\(57\) | 4.15985 | 0.550986 | ||||||||
\(58\) | 10.0437 | − | 8.75892i | 1.31880 | − | 1.15010i | ||||
\(59\) | 1.68345 | + | 2.91583i | 0.219167 | + | 0.379608i | 0.954553 | − | 0.298040i | \(-0.0963328\pi\) |
−0.735387 | + | 0.677648i | \(0.762999\pi\) | |||||||
\(60\) | −4.85964 | − | 0.667235i | −0.627377 | − | 0.0861397i | ||||
\(61\) | −9.61496 | − | 5.55120i | −1.23107 | − | 0.710758i | −0.263817 | − | 0.964573i | \(-0.584981\pi\) |
−0.967253 | + | 0.253815i | \(0.918315\pi\) | |||||||
\(62\) | −12.6294 | − | 4.32623i | −1.60394 | − | 0.549432i | ||||
\(63\) | −1.07993 | + | 2.41532i | −0.136058 | + | 0.304301i | ||||
\(64\) | −3.18406 | + | 7.33906i | −0.398008 | + | 0.917382i | ||||
\(65\) | 3.67579 | − | 6.36666i | 0.455926 | − | 0.789686i | ||||
\(66\) | −1.75611 | + | 0.344251i | −0.216163 | + | 0.0423744i | ||||
\(67\) | −2.43151 | + | 1.40383i | −0.297056 | + | 0.171505i | −0.641120 | − | 0.767441i | \(-0.721530\pi\) |
0.344064 | + | 0.938946i | \(0.388196\pi\) | |||||||
\(68\) | −1.38425 | − | 3.39503i | −0.167865 | − | 0.411707i | ||||
\(69\) | 6.73842i | 0.811211i | ||||||||
\(70\) | −8.77582 | + | 2.68318i | −1.04891 | + | 0.320702i | ||||
\(71\) | − | 2.92285i | − | 0.346878i | −0.984845 | − | 0.173439i | \(-0.944512\pi\) | ||
0.984845 | − | 0.173439i | \(-0.0554880\pi\) | |||||||
\(72\) | −2.82381 | + | 0.161492i | −0.332790 | + | 0.0190320i | ||||
\(73\) | 7.01910 | − | 4.05248i | 0.821523 | − | 0.474307i | −0.0294183 | − | 0.999567i | \(-0.509365\pi\) |
0.850941 | + | 0.525261i | \(0.176032\pi\) | |||||||
\(74\) | −2.04349 | − | 10.4244i | −0.237551 | − | 1.21181i | ||||
\(75\) | 0.507662 | − | 0.879296i | 0.0586198 | − | 0.101532i | ||||
\(76\) | 6.57226 | + | 5.10126i | 0.753890 | + | 0.585155i | ||||
\(77\) | −2.71162 | + | 1.96359i | −0.309017 | + | 0.223772i | ||||
\(78\) | 1.37372 | − | 4.01027i | 0.155543 | − | 0.454073i | ||||
\(79\) | −1.54471 | − | 0.891841i | −0.173794 | − | 0.100340i | 0.410580 | − | 0.911825i | \(-0.365326\pi\) |
−0.584374 | + | 0.811485i | \(0.698660\pi\) | |||||||
\(80\) | −6.85964 | − | 7.01360i | −0.766931 | − | 0.784144i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −1.01284 | − | 1.16141i | −0.111849 | − | 0.128256i | ||||
\(83\) | −5.33626 | −0.585730 | −0.292865 | − | 0.956154i | \(-0.594609\pi\) | ||||
−0.292865 | + | 0.956154i | \(0.594609\pi\) | |||||||
\(84\) | −4.66813 | + | 2.49170i | −0.509335 | + | 0.271867i | ||||
\(85\) | 4.49611 | 0.487672 | ||||||||
\(86\) | 5.82962 | + | 6.68473i | 0.628624 | + | 0.720833i | ||||
\(87\) | 4.71162 | + | 8.16076i | 0.505138 | + | 0.874925i | ||||
\(88\) | −3.19669 | − | 1.60964i | −0.340768 | − | 0.171589i | ||||
\(89\) | 7.42323 | + | 4.28581i | 0.786861 | + | 0.454294i | 0.838856 | − | 0.544353i | \(-0.183225\pi\) |
−0.0519952 | + | 0.998647i | \(0.516558\pi\) | |||||||
\(90\) | 1.12403 | − | 3.28134i | 0.118483 | − | 0.345884i | ||||
\(91\) | −0.816548 | − | 7.88834i | −0.0855974 | − | 0.826923i | ||||
\(92\) | −8.26338 | + | 10.6462i | −0.861517 | + | 1.10994i | ||||
\(93\) | 4.71989 | − | 8.17509i | 0.489430 | − | 0.847717i | ||||
\(94\) | 2.00000 | + | 10.2025i | 0.206284 | + | 1.05231i | ||||
\(95\) | −8.83564 | + | 5.10126i | −0.906518 | + | 0.523378i | ||||
\(96\) | −4.65946 | − | 3.20772i | −0.475554 | − | 0.327386i | ||||
\(97\) | 7.10394i | 0.721296i | 0.932702 | + | 0.360648i | \(0.117444\pi\) | ||||
−0.932702 | + | 0.360648i | \(0.882556\pi\) | |||||||
\(98\) | −5.96998 | + | 7.89679i | −0.603059 | + | 0.797696i | ||||
\(99\) | − | 1.26539i | − | 0.127177i | ||||||
\(100\) | 1.88036 | − | 0.766674i | 0.188036 | − | 0.0766674i | ||||
\(101\) | 0.808273 | − | 0.466657i | 0.0804262 | − | 0.0464341i | −0.459248 | − | 0.888308i | \(-0.651881\pi\) |
0.539674 | + | 0.841874i | \(0.318548\pi\) | |||||||
\(102\) | 2.54410 | − | 0.498720i | 0.251904 | − | 0.0493806i | ||||
\(103\) | 2.06460 | − | 3.57600i | 0.203431 | − | 0.352353i | −0.746200 | − | 0.665721i | \(-0.768124\pi\) |
0.949632 | + | 0.313368i | \(0.101457\pi\) | |||||||
\(104\) | 7.08820 | − | 4.65132i | 0.695055 | − | 0.456100i | ||||
\(105\) | −0.668128 | − | 6.45452i | −0.0652026 | − | 0.629897i | ||||
\(106\) | −0.0958634 | − | 0.0328381i | −0.00931108 | − | 0.00318952i | ||||
\(107\) | 11.9878 | + | 6.92118i | 1.15891 | + | 0.669096i | 0.951042 | − | 0.309062i | \(-0.100015\pi\) |
0.207866 | + | 0.978157i | \(0.433348\pi\) | |||||||
\(108\) | 0.272050 | − | 1.98141i | 0.0261781 | − | 0.190661i | ||||
\(109\) | 0.492338 | + | 0.852754i | 0.0471574 | + | 0.0816791i | 0.888641 | − | 0.458604i | \(-0.151650\pi\) |
−0.841483 | + | 0.540283i | \(0.818317\pi\) | |||||||
\(110\) | 3.30788 | − | 2.88473i | 0.315394 | − | 0.275049i | ||||
\(111\) | 7.51143 | 0.712954 | ||||||||
\(112\) | −10.4309 | − | 1.78786i | −0.985627 | − | 0.168936i | ||||
\(113\) | 5.03187 | 0.473359 | 0.236679 | − | 0.971588i | \(-0.423941\pi\) | ||||
0.236679 | + | 0.971588i | \(0.423941\pi\) | |||||||
\(114\) | −4.43376 | + | 3.86659i | −0.415260 | + | 0.362140i | ||||
\(115\) | −8.26338 | − | 14.3126i | −0.770564 | − | 1.33466i | ||||
\(116\) | −2.56359 | + | 18.6713i | −0.238024 | + | 1.73359i | ||||
\(117\) | 2.59586 | + | 1.49872i | 0.239988 | + | 0.138557i | ||||
\(118\) | −4.50457 | − | 1.54304i | −0.414679 | − | 0.142049i | ||||
\(119\) | 3.92835 | − | 2.84468i | 0.360111 | − | 0.260771i | ||||
\(120\) | 5.79982 | − | 3.80588i | 0.529449 | − | 0.347428i | ||||
\(121\) | −4.69939 | + | 8.13958i | −0.427217 | + | 0.739962i | ||||
\(122\) | 15.4079 | − | 3.02041i | 1.39497 | − | 0.273455i | ||||
\(123\) | 0.943672 | − | 0.544829i | 0.0850880 | − | 0.0491256i | ||||
\(124\) | 17.4823 | − | 7.12801i | 1.56995 | − | 0.640114i | ||||
\(125\) | − | 9.77288i | − | 0.874113i | ||||||
\(126\) | −1.09401 | − | 3.57815i | −0.0974621 | − | 0.318767i | ||||
\(127\) | − | 6.38337i | − | 0.566433i | −0.959056 | − | 0.283216i | \(-0.908599\pi\) | ||
0.959056 | − | 0.283216i | \(-0.0914015\pi\) | |||||||
\(128\) | −3.42795 | − | 10.7819i | −0.302991 | − | 0.952993i | ||||
\(129\) | −5.43151 | + | 3.13588i | −0.478218 | + | 0.276099i | ||||
\(130\) | 2.00000 | + | 10.2025i | 0.175412 | + | 0.894820i | ||||
\(131\) | −1.93601 | + | 3.35327i | −0.169150 | + | 0.292976i | −0.938121 | − | 0.346307i | \(-0.887436\pi\) |
0.768971 | + | 0.639283i | \(0.220769\pi\) | |||||||
\(132\) | 1.55176 | − | 1.99923i | 0.135064 | − | 0.174011i | ||||
\(133\) | −4.49234 | + | 10.0474i | −0.389535 | + | 0.871217i | ||||
\(134\) | 1.28674 | − | 3.75636i | 0.111158 | − | 0.324500i | ||||
\(135\) | 2.12403 | + | 1.22631i | 0.182807 | + | 0.105544i | ||||
\(136\) | 4.63108 | + | 2.33191i | 0.397112 | + | 0.199960i | ||||
\(137\) | 7.35158 | + | 12.7333i | 0.628088 | + | 1.08788i | 0.987935 | + | 0.154869i | \(0.0494955\pi\) |
−0.359847 | + | 0.933011i | \(0.617171\pi\) | |||||||
\(138\) | −6.26338 | − | 7.18211i | −0.533174 | − | 0.611382i | ||||
\(139\) | 2.01655 | 0.171041 | 0.0855207 | − | 0.996336i | \(-0.472745\pi\) | ||||
0.0855207 | + | 0.996336i | \(0.472745\pi\) | |||||||
\(140\) | 6.85964 | − | 11.0170i | 0.579745 | − | 0.931107i | ||||
\(141\) | −7.35158 | −0.619115 | ||||||||
\(142\) | 2.71679 | + | 3.11530i | 0.227988 | + | 0.261430i | ||||
\(143\) | 1.89647 | + | 3.28479i | 0.158591 | + | 0.274688i | ||||
\(144\) | 2.85964 | − | 2.79687i | 0.238303 | − | 0.233072i | ||||
\(145\) | −20.0152 | − | 11.5558i | −1.66217 | − | 0.959656i | ||||
\(146\) | −3.71448 | + | 10.8436i | −0.307413 | + | 0.897421i | ||||
\(147\) | −4.66752 | − | 5.21673i | −0.384970 | − | 0.430269i | ||||
\(148\) | 11.8675 | + | 9.21133i | 0.975504 | + | 0.757167i | ||||
\(149\) | 0.248055 | − | 0.429644i | 0.0203215 | − | 0.0351978i | −0.855686 | − | 0.517496i | \(-0.826864\pi\) |
0.876007 | + | 0.482298i | \(0.160198\pi\) | |||||||
\(150\) | 0.276219 | + | 1.40907i | 0.0225532 | + | 0.115050i | ||||
\(151\) | −11.4636 | + | 6.61849i | −0.932891 | + | 0.538605i | −0.887725 | − | 0.460374i | \(-0.847715\pi\) |
−0.0451665 | + | 0.998979i | \(0.514382\pi\) | |||||||
\(152\) | −11.7466 | + | 0.671783i | −0.952779 | + | 0.0544888i | ||||
\(153\) | 1.83319i | 0.148205i | ||||||||
\(154\) | 1.06500 | − | 4.61334i | 0.0858201 | − | 0.371753i | ||||
\(155\) | 23.1522i | 1.85963i | ||||||||
\(156\) | 2.26338 | + | 5.55120i | 0.181215 | + | 0.444452i | ||||
\(157\) | 4.38345 | − | 2.53079i | 0.349838 | − | 0.201979i | −0.314776 | − | 0.949166i | \(-0.601929\pi\) |
0.664614 | + | 0.747187i | \(0.268596\pi\) | |||||||
\(158\) | 2.47539 | − | 0.485251i | 0.196932 | − | 0.0386045i | ||||
\(159\) | 0.0358262 | − | 0.0620528i | 0.00284120 | − | 0.00492111i | ||||
\(160\) | 13.8305 | + | 1.09935i | 1.09339 | + | 0.0869115i | ||||
\(161\) | −16.2754 | − | 7.27700i | −1.28268 | − | 0.573508i | ||||
\(162\) | 1.33790 | + | 0.458297i | 0.105115 | + | 0.0360072i | ||||
\(163\) | 10.4232 | + | 6.01786i | 0.816411 | + | 0.471355i | 0.849177 | − | 0.528108i | \(-0.177098\pi\) |
−0.0327665 | + | 0.999463i | \(0.510432\pi\) | |||||||
\(164\) | 2.15906 | + | 0.296442i | 0.168594 | + | 0.0231482i | ||||
\(165\) | 1.55176 | + | 2.68773i | 0.120805 | + | 0.209240i | ||||
\(166\) | 5.68762 | − | 4.96006i | 0.441445 | − | 0.384976i | ||||
\(167\) | −7.46424 | −0.577600 | −0.288800 | − | 0.957389i | \(-0.593256\pi\) | ||||
−0.288800 | + | 0.957389i | \(0.593256\pi\) | |||||||
\(168\) | 2.65946 | − | 6.99480i | 0.205182 | − | 0.539661i | ||||
\(169\) | 4.01532 | 0.308871 | ||||||||
\(170\) | −4.79216 | + | 4.17915i | −0.367542 | + | 0.320526i | ||||
\(171\) | −2.07993 | − | 3.60254i | −0.159056 | − | 0.275493i | ||||
\(172\) | −12.4269 | − | 1.70624i | −0.947545 | − | 0.130099i | ||||
\(173\) | 3.77932 | + | 2.18199i | 0.287336 | + | 0.165894i | 0.636740 | − | 0.771079i | \(-0.280283\pi\) |
−0.349404 | + | 0.936972i | \(0.613616\pi\) | |||||||
\(174\) | −12.6073 | − | 4.31864i | −0.955757 | − | 0.327396i | ||||
\(175\) | 1.57554 | + | 2.17574i | 0.119100 | + | 0.164471i | ||||
\(176\) | 4.90334 | − | 1.25570i | 0.369603 | − | 0.0946518i | ||||
\(177\) | 1.68345 | − | 2.91583i | 0.126536 | − | 0.219167i | ||||
\(178\) | −11.8957 | + | 2.33191i | −0.891619 | + | 0.174784i | ||||
\(179\) | 21.2754 | − | 12.2834i | 1.59020 | − | 0.918102i | 0.596928 | − | 0.802295i | \(-0.296388\pi\) |
0.993272 | − | 0.115808i | \(-0.0369457\pi\) | |||||||
\(180\) | 1.85198 | + | 4.54219i | 0.138038 | + | 0.338555i | ||||
\(181\) | − | 11.7182i | − | 0.871011i | −0.900186 | − | 0.435505i | \(-0.856570\pi\) | ||
0.900186 | − | 0.435505i | \(-0.143430\pi\) | |||||||
\(182\) | 8.20255 | + | 7.64877i | 0.608013 | + | 0.566964i | ||||
\(183\) | 11.1024i | 0.820713i | ||||||||
\(184\) | −1.08820 | − | 19.0280i | −0.0802233 | − | 1.40277i | ||||
\(185\) | −15.9545 | + | 9.21133i | −1.17300 | + | 0.677231i | ||||
\(186\) | 2.56810 | + | 13.1005i | 0.188302 | + | 0.960577i | ||||
\(187\) | −1.15985 | + | 2.00893i | −0.0848169 | + | 0.146907i | ||||
\(188\) | −11.6150 | − | 9.01530i | −0.847108 | − | 0.657508i | ||||
\(189\) | 2.63169 | − | 0.272415i | 0.191427 | − | 0.0198152i | ||||
\(190\) | 4.67579 | − | 13.6499i | 0.339217 | − | 0.990268i | ||||
\(191\) | −13.7628 | − | 7.94594i | −0.995839 | − | 0.574948i | −0.0888244 | − | 0.996047i | \(-0.528311\pi\) |
−0.907014 | + | 0.421099i | \(0.861644\pi\) | |||||||
\(192\) | 7.94784 | − | 0.912047i | 0.573586 | − | 0.0658213i | ||||
\(193\) | −9.86690 | − | 17.0900i | −0.710235 | − | 1.23016i | −0.964769 | − | 0.263100i | \(-0.915255\pi\) |
0.254533 | − | 0.967064i | \(-0.418078\pi\) | |||||||
\(194\) | −6.60313 | − | 7.57170i | −0.474077 | − | 0.543616i | ||||
\(195\) | −7.35158 | −0.526458 | ||||||||
\(196\) | −0.977014 | − | 13.9659i | −0.0697867 | − | 0.997562i | ||||
\(197\) | 0.998775 | 0.0711598 | 0.0355799 | − | 0.999367i | \(-0.488672\pi\) | ||||
0.0355799 | + | 0.999367i | \(0.488672\pi\) | |||||||
\(198\) | 1.17619 | + | 1.34871i | 0.0835880 | + | 0.0958489i | ||||
\(199\) | −1.35158 | − | 2.34101i | −0.0958110 | − | 0.165950i | 0.814136 | − | 0.580675i | \(-0.197211\pi\) |
−0.909947 | + | 0.414725i | \(0.863878\pi\) | |||||||
\(200\) | −1.29154 | + | 2.56495i | −0.0913259 | + | 0.181370i | ||||
\(201\) | 2.43151 | + | 1.40383i | 0.171505 | + | 0.0990186i | ||||
\(202\) | −0.427735 | + | 1.24868i | −0.0300953 | + | 0.0878565i | ||||
\(203\) | −24.7990 | + | 2.56703i | −1.74055 | + | 0.180170i | ||||
\(204\) | −2.24806 | + | 2.89631i | −0.157395 | + | 0.202782i | ||||
\(205\) | −1.33626 | + | 2.31446i | −0.0933282 | + | 0.161649i | ||||
\(206\) | 1.12335 | + | 5.73051i | 0.0782676 | + | 0.399264i | ||||
\(207\) | 5.83564 | − | 3.36921i | 0.405605 | − | 0.234176i | ||||
\(208\) | −3.23151 | + | 11.5461i | −0.224065 | + | 0.800577i | ||||
\(209\) | − | 5.26385i | − | 0.364108i | ||||||
\(210\) | 6.71162 | + | 6.25849i | 0.463146 | + | 0.431877i | ||||
\(211\) | 18.1798i | 1.25155i | 0.780004 | + | 0.625774i | \(0.215217\pi\) | ||||
−0.780004 | + | 0.625774i | \(0.784783\pi\) | |||||||
\(212\) | 0.132699 | − | 0.0541049i | 0.00911378 | − | 0.00371594i | ||||
\(213\) | −2.53126 | + | 1.46142i | −0.173439 | + | 0.100135i | ||||
\(214\) | −19.2104 | + | 3.76582i | −1.31320 | + | 0.257426i | ||||
\(215\) | 7.69111 | − | 13.3214i | 0.524530 | − | 0.908512i | ||||
\(216\) | 1.55176 | + | 2.36475i | 0.105584 | + | 0.160901i | ||||
\(217\) | 14.6483 | + | 20.2285i | 0.994392 | + | 1.37320i | ||||
\(218\) | −1.31739 | − | 0.451274i | −0.0892251 | − | 0.0305642i | ||||
\(219\) | −7.01910 | − | 4.05248i | −0.474307 | − | 0.273841i | ||||
\(220\) | −0.844315 | + | 6.14936i | −0.0569237 | + | 0.414590i | ||||
\(221\) | −2.74744 | − | 4.75871i | −0.184813 | − | 0.320106i | ||||
\(222\) | −8.00602 | + | 6.98190i | −0.537329 | + | 0.468594i | ||||
\(223\) | 11.5996 | 0.776769 | 0.388385 | − | 0.921497i | \(-0.373033\pi\) | ||||
0.388385 | + | 0.921497i | \(0.373033\pi\) | |||||||
\(224\) | 12.7795 | − | 7.78997i | 0.853868 | − | 0.520489i | ||||
\(225\) | −1.01532 | −0.0676883 | ||||||||
\(226\) | −5.36320 | + | 4.67714i | −0.356754 | + | 0.311119i | ||||
\(227\) | −5.08054 | − | 8.79975i | −0.337207 | − | 0.584060i | 0.646699 | − | 0.762745i | \(-0.276149\pi\) |
−0.983906 | + | 0.178685i | \(0.942816\pi\) | |||||||
\(228\) | 1.13169 | − | 8.24238i | 0.0749480 | − | 0.545865i | ||||
\(229\) | 20.0025 | + | 11.5485i | 1.32181 | + | 0.763145i | 0.984017 | − | 0.178077i | \(-0.0569876\pi\) |
0.337789 | + | 0.941222i | \(0.390321\pi\) | |||||||
\(230\) | 22.1111 | + | 7.57417i | 1.45796 | + | 0.499426i | ||||
\(231\) | 3.05633 | + | 1.36653i | 0.201092 | + | 0.0899113i | ||||
\(232\) | −14.6226 | − | 22.2836i | −0.960022 | − | 1.46299i | ||||
\(233\) | 3.42774 | − | 5.93701i | 0.224558 | − | 0.388947i | −0.731628 | − | 0.681704i | \(-0.761239\pi\) |
0.956187 | + | 0.292757i | \(0.0945727\pi\) | |||||||
\(234\) | −4.15985 | + | 0.815456i | −0.271938 | + | 0.0533080i | ||||
\(235\) | 15.6150 | − | 9.01530i | 1.01861 | − | 0.588093i | ||||
\(236\) | 6.23543 | − | 2.54236i | 0.405892 | − | 0.165494i | ||||
\(237\) | 1.78368i | 0.115863i | ||||||||
\(238\) | −1.54288 | + | 6.68339i | −0.100010 | + | 0.433220i | ||||
\(239\) | − | 22.2257i | − | 1.43766i | −0.695184 | − | 0.718832i | \(-0.744677\pi\) | ||
0.695184 | − | 0.718832i | \(-0.255323\pi\) | |||||||
\(240\) | −2.64413 | + | 9.44742i | −0.170678 | + | 0.609828i | ||||
\(241\) | 13.3605 | − | 7.71367i | 0.860623 | − | 0.496881i | −0.00359762 | − | 0.999994i | \(-0.501145\pi\) |
0.864221 | + | 0.503112i | \(0.167812\pi\) | |||||||
\(242\) | −2.55694 | − | 13.0436i | −0.164366 | − | 0.838476i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −13.6150 | + | 17.5410i | −0.871608 | + | 1.12295i | ||||
\(245\) | 16.3113 | + | 5.35667i | 1.04209 | + | 0.342225i | ||||
\(246\) | −0.499388 | + | 1.45785i | −0.0318398 | + | 0.0929490i | ||||
\(247\) | 10.7984 | + | 6.23447i | 0.687087 | + | 0.396690i | ||||
\(248\) | −12.0079 | + | 23.8472i | −0.762501 | + | 1.51430i | ||||
\(249\) | 2.66813 | + | 4.62133i | 0.169086 | + | 0.292865i | ||||
\(250\) | 9.08392 | + | 10.4164i | 0.574517 | + | 0.658789i | ||||
\(251\) | 22.2954 | 1.40727 | 0.703636 | − | 0.710561i | \(-0.251559\pi\) | ||||
0.703636 | + | 0.710561i | \(0.251559\pi\) | |||||||
\(252\) | 4.49194 | + | 2.79687i | 0.282966 | + | 0.176186i | ||||
\(253\) | 8.52676 | 0.536073 | ||||||||
\(254\) | 5.93336 | + | 6.80369i | 0.372292 | + | 0.426901i | ||||
\(255\) | −2.24806 | − | 3.89375i | −0.140779 | − | 0.243836i | ||||
\(256\) | 13.6755 | + | 8.30553i | 0.854716 | + | 0.519096i | ||||
\(257\) | 2.48529 | + | 1.43488i | 0.155028 | + | 0.0895055i | 0.575507 | − | 0.817797i | \(-0.304805\pi\) |
−0.420479 | + | 0.907302i | \(0.638138\pi\) | |||||||
\(258\) | 2.87433 | − | 8.39096i | 0.178948 | − | 0.522399i | ||||
\(259\) | −8.11180 | + | 18.1425i | −0.504043 | + | 1.12732i | ||||
\(260\) | −11.6150 | − | 9.01530i | −0.720329 | − | 0.559105i | ||||
\(261\) | 4.71162 | − | 8.16076i | 0.291642 | − | 0.505138i | ||||
\(262\) | −1.05338 | − | 5.37359i | −0.0650783 | − | 0.331981i | ||||
\(263\) | 8.98186 | − | 5.18568i | 0.553845 | − | 0.319763i | −0.196826 | − | 0.980438i | \(-0.563063\pi\) |
0.750672 | + | 0.660676i | \(0.229730\pi\) | |||||||
\(264\) | 0.204351 | + | 3.57324i | 0.0125769 | + | 0.219917i | ||||
\(265\) | 0.175736i | 0.0107954i | ||||||||
\(266\) | −4.55092 | − | 14.8846i | −0.279035 | − | 0.912632i | ||||
\(267\) | − | 8.57161i | − | 0.524574i | ||||||
\(268\) | 2.12007 | + | 5.19973i | 0.129504 | + | 0.317624i | ||||
\(269\) | 4.48011 | − | 2.58659i | 0.273157 | − | 0.157707i | −0.357164 | − | 0.934042i | \(-0.616256\pi\) |
0.630322 | + | 0.776334i | \(0.282923\pi\) | |||||||
\(270\) | −3.40374 | + | 0.667235i | −0.207145 | + | 0.0406066i | ||||
\(271\) | −12.1195 | + | 20.9916i | −0.736209 | + | 1.27515i | 0.217982 | + | 0.975953i | \(0.430053\pi\) |
−0.954191 | + | 0.299198i | \(0.903281\pi\) | |||||||
\(272\) | −7.10353 | + | 1.81914i | −0.430714 | + | 0.110302i | ||||
\(273\) | −6.42323 | + | 4.65132i | −0.388752 | + | 0.281511i | ||||
\(274\) | −19.6713 | − | 6.73842i | −1.18839 | − | 0.407083i | ||||
\(275\) | −1.11266 | − | 0.642393i | −0.0670957 | − | 0.0387377i | ||||
\(276\) | 13.3516 | + | 1.83319i | 0.803671 | + | 0.110345i | ||||
\(277\) | 1.50766 | + | 2.61135i | 0.0905866 | + | 0.156901i | 0.907758 | − | 0.419494i | \(-0.137792\pi\) |
−0.817171 | + | 0.576395i | \(0.804459\pi\) | |||||||
\(278\) | −2.14933 | + | 1.87439i | −0.128908 | + | 0.112418i | ||||
\(279\) | −9.43978 | −0.565145 | ||||||||
\(280\) | 2.92902 | + | 18.1185i | 0.175043 | + | 1.08279i | ||||
\(281\) | −6.91922 | −0.412766 | −0.206383 | − | 0.978471i | \(-0.566169\pi\) | ||||
−0.206383 | + | 0.978471i | \(0.566169\pi\) | |||||||
\(282\) | 7.83564 | − | 6.83331i | 0.466606 | − | 0.406918i | ||||
\(283\) | −10.2870 | − | 17.8176i | −0.611497 | − | 1.05914i | −0.990988 | − | 0.133949i | \(-0.957234\pi\) |
0.379491 | − | 0.925195i | \(-0.376099\pi\) | |||||||
\(284\) | −5.79136 | − | 0.795162i | −0.343654 | − | 0.0471842i | ||||
\(285\) | 8.83564 | + | 5.10126i | 0.523378 | + | 0.302173i | ||||
\(286\) | −5.07457 | − | 1.73830i | −0.300066 | − | 0.102788i | ||||
\(287\) | 0.296839 | + | 2.86764i | 0.0175218 | + | 0.169272i | ||||
\(288\) | −0.448237 | + | 5.63907i | −0.0264126 | + | 0.332285i | ||||
\(289\) | −6.81971 | + | 11.8121i | −0.401159 | + | 0.694828i | ||||
\(290\) | 32.0742 | − | 6.28751i | 1.88346 | − | 0.369215i | ||||
\(291\) | 6.15219 | − | 3.55197i | 0.360648 | − | 0.208220i | ||||
\(292\) | −6.12007 | − | 15.0102i | −0.358150 | − | 0.878405i | ||||
\(293\) | 28.3113i | 1.65396i | 0.562229 | + | 0.826982i | \(0.309944\pi\) | ||||
−0.562229 | + | 0.826982i | \(0.690056\pi\) | |||||||
\(294\) | 9.82381 | + | 1.22176i | 0.572936 | + | 0.0712545i | ||||
\(295\) | 8.25772i | 0.480783i | ||||||||
\(296\) | −21.2109 | + | 1.21304i | −1.23286 | + | 0.0705063i | ||||
\(297\) | −1.09586 | + | 0.632697i | −0.0635884 | + | 0.0367128i | ||||
\(298\) | 0.134967 | + | 0.688502i | 0.00781843 | + | 0.0398838i | ||||
\(299\) | −10.0990 | + | 17.4920i | −0.584042 | + | 1.01159i | ||||
\(300\) | −1.60414 | − | 1.24510i | −0.0926149 | − | 0.0718859i | ||||
\(301\) | −1.70852 | − | 16.5053i | −0.0984775 | − | 0.951352i | ||||
\(302\) | 6.06647 | − | 17.7097i | 0.349086 | − | 1.01908i | ||||
\(303\) | −0.808273 | − | 0.466657i | −0.0464341 | − | 0.0268087i | ||||
\(304\) | 11.8957 | − | 11.6346i | 0.682264 | − | 0.667288i | ||||
\(305\) | −13.6150 | − | 23.5818i | −0.779590 | − | 1.35029i | ||||
\(306\) | −1.70395 | − | 1.95390i | −0.0974086 | − | 0.111697i | ||||
\(307\) | −8.65596 | −0.494022 | −0.247011 | − | 0.969013i | \(-0.579448\pi\) | ||||
−0.247011 | + | 0.969013i | \(0.579448\pi\) | |||||||
\(308\) | 3.15298 | + | 5.90702i | 0.179658 | + | 0.336584i | ||||
\(309\) | −4.12921 | −0.234902 | ||||||||
\(310\) | −21.5200 | − | 24.6766i | −1.22225 | − | 1.40154i | ||||
\(311\) | −4.67129 | − | 8.09091i | −0.264884 | − | 0.458793i | 0.702649 | − | 0.711537i | \(-0.252000\pi\) |
−0.967533 | + | 0.252743i | \(0.918667\pi\) | |||||||
\(312\) | −7.57226 | − | 3.81290i | −0.428695 | − | 0.215863i | ||||
\(313\) | −6.38734 | − | 3.68773i | −0.361034 | − | 0.208443i | 0.308500 | − | 0.951224i | \(-0.400173\pi\) |
−0.669534 | + | 0.742781i | \(0.733506\pi\) | |||||||
\(314\) | −2.31971 | + | 6.77186i | −0.130909 | + | 0.382158i | ||||
\(315\) | −5.25572 | + | 3.80588i | −0.296126 | + | 0.214437i | ||||
\(316\) | −2.18734 | + | 2.81809i | −0.123048 | + | 0.158530i | ||||
\(317\) | 1.81514 | − | 3.14392i | 0.101949 | − | 0.176580i | −0.810539 | − | 0.585685i | \(-0.800826\pi\) |
0.912487 | + | 0.409105i | \(0.134159\pi\) | |||||||
\(318\) | 0.0194931 | + | 0.0994392i | 0.00109312 | + | 0.00557627i | ||||
\(319\) | 10.3266 | − | 5.96205i | 0.578177 | − | 0.333811i | ||||
\(320\) | −15.7630 | + | 11.6837i | −0.881178 | + | 0.653139i | ||||
\(321\) | − | 13.8424i | − | 0.772605i | ||||||
\(322\) | 24.1111 | − | 7.37189i | 1.34366 | − | 0.410820i | ||||
\(323\) | 7.62580i | 0.424311i | ||||||||
\(324\) | −1.85198 | + | 0.755103i | −0.102888 | + | 0.0419502i | ||||
\(325\) | 2.63564 | − | 1.52169i | 0.146199 | − | 0.0844081i | ||||
\(326\) | −16.7032 | + | 3.27432i | −0.925103 | + | 0.181348i | ||||
\(327\) | 0.492338 | − | 0.852754i | 0.0272264 | − | 0.0471574i | ||||
\(328\) | −2.57677 | + | 1.69089i | −0.142278 | + | 0.0933638i | ||||
\(329\) | 7.93917 | − | 17.7564i | 0.437701 | − | 0.978942i | ||||
\(330\) | −4.15219 | − | 1.42234i | −0.228571 | − | 0.0782971i | ||||
\(331\) | −0.544164 | − | 0.314173i | −0.0299100 | − | 0.0172685i | 0.484970 | − | 0.874531i | \(-0.338830\pi\) |
−0.514880 | + | 0.857262i | \(0.672164\pi\) | |||||||
\(332\) | −1.45173 | + | 10.5733i | −0.0796741 | + | 0.580286i | ||||
\(333\) | −3.75572 | − | 6.50509i | −0.205812 | − | 0.356477i | ||||
\(334\) | 7.95572 | − | 6.93803i | 0.435318 | − | 0.379632i | ||||
\(335\) | −6.88612 | −0.376229 | ||||||||
\(336\) | 3.66712 | + | 9.92735i | 0.200058 | + | 0.541581i | ||||
\(337\) | −22.3119 | −1.21541 | −0.607704 | − | 0.794164i | \(-0.707909\pi\) | ||||
−0.607704 | + | 0.794164i | \(0.707909\pi\) | |||||||
\(338\) | −4.27971 | + | 3.73225i | −0.232786 | + | 0.203008i | ||||
\(339\) | −2.51594 | − | 4.35773i | −0.136647 | − | 0.236679i | ||||
\(340\) | 1.22317 | − | 8.90864i | 0.0663356 | − | 0.483139i | ||||
\(341\) | −10.3447 | − | 5.97252i | −0.560198 | − | 0.323430i | ||||
\(342\) | 5.56545 | + | 1.90645i | 0.300945 | + | 0.103089i | ||||
\(343\) | 17.6406 | − | 5.63984i | 0.952505 | − | 0.304523i | ||||
\(344\) | 14.8311 | − | 9.73229i | 0.799642 | − | 0.524730i | ||||
\(345\) | −8.26338 | + | 14.3126i | −0.444885 | + | 0.770564i | ||||
\(346\) | −6.05633 | + | 1.18722i | −0.325590 | + | 0.0638254i | ||||
\(347\) | −5.97104 | + | 3.44738i | −0.320542 | + | 0.185065i | −0.651634 | − | 0.758533i | \(-0.725916\pi\) |
0.331092 | + | 0.943598i | \(0.392583\pi\) | |||||||
\(348\) | 17.4516 | − | 7.11551i | 0.935505 | − | 0.381431i | ||||
\(349\) | − | 13.4768i | − | 0.721399i | −0.932682 | − | 0.360699i | \(-0.882538\pi\) | ||
0.932682 | − | 0.360699i | \(-0.117462\pi\) | |||||||
\(350\) | −3.70164 | − | 0.854532i | −0.197861 | − | 0.0456766i | ||||
\(351\) | − | 2.99744i | − | 0.159992i | ||||||
\(352\) | −4.05903 | + | 5.89605i | −0.216347 | + | 0.314260i | ||||
\(353\) | −24.7550 | + | 14.2923i | −1.31758 | + | 0.760702i | −0.983338 | − | 0.181787i | \(-0.941812\pi\) |
−0.334237 | + | 0.942489i | \(0.608479\pi\) | |||||||
\(354\) | 0.915968 | + | 4.67259i | 0.0486831 | + | 0.248345i | ||||
\(355\) | 3.58431 | − | 6.20821i | 0.190236 | − | 0.329498i | ||||
\(356\) | 10.5114 | − | 13.5425i | 0.557105 | − | 0.717752i | ||||
\(357\) | −4.42774 | − | 1.97971i | −0.234341 | − | 0.104777i | ||||
\(358\) | −11.2589 | + | 32.8677i | −0.595050 | + | 1.73711i | ||||
\(359\) | 6.00000 | + | 3.46410i | 0.316668 | + | 0.182828i | 0.649906 | − | 0.760014i | \(-0.274808\pi\) |
−0.333238 | + | 0.942843i | \(0.608141\pi\) | |||||||
\(360\) | −6.19590 | − | 3.11985i | −0.326552 | − | 0.164431i | ||||
\(361\) | 0.847808 | + | 1.46845i | 0.0446215 | + | 0.0772867i | ||||
\(362\) | 10.8921 | + | 12.4898i | 0.572478 | + | 0.656451i | ||||
\(363\) | 9.39878 | 0.493308 | ||||||||
\(364\) | −15.8522 | − | 0.528111i | −0.830881 | − | 0.0276805i | ||||
\(365\) | 19.8783 | 1.04048 | ||||||||
\(366\) | −10.3197 | − | 11.8334i | −0.539420 | − | 0.618544i | ||||
\(367\) | 6.47184 | + | 11.2095i | 0.337827 | + | 0.585134i | 0.984024 | − | 0.178037i | \(-0.0569748\pi\) |
−0.646197 | + | 0.763171i | \(0.723641\pi\) | |||||||
\(368\) | 18.8465 | + | 19.2695i | 0.982440 | + | 1.00449i | ||||
\(369\) | −0.943672 | − | 0.544829i | −0.0491256 | − | 0.0283627i | ||||
\(370\) | 8.44306 | − | 24.6476i | 0.438934 | − | 1.28137i | ||||
\(371\) | 0.111188 | + | 0.153544i | 0.00577257 | + | 0.00797162i | ||||
\(372\) | −14.9142 | − | 11.5761i | −0.773263 | − | 0.600192i | ||||
\(373\) | −1.53954 | + | 2.66655i | −0.0797141 | + | 0.138069i | −0.903127 | − | 0.429374i | \(-0.858734\pi\) |
0.823412 | + | 0.567443i | \(0.192067\pi\) | |||||||
\(374\) | −0.631077 | − | 3.21929i | −0.0326322 | − | 0.166466i | ||||
\(375\) | −8.46356 | + | 4.88644i | −0.437056 | + | 0.252335i | ||||
\(376\) | 20.7595 | − | 1.18722i | 1.07059 | − | 0.0612263i | ||||
\(377\) | 28.2456i | 1.45472i | ||||||||
\(378\) | −2.55176 | + | 2.73651i | −0.131249 | + | 0.140751i | ||||
\(379\) | 5.21020i | 0.267630i | 0.991006 | + | 0.133815i | \(0.0427228\pi\) | ||||
−0.991006 | + | 0.133815i | \(0.957277\pi\) | |||||||
\(380\) | 7.70395 | + | 18.8948i | 0.395205 | + | 0.969285i | ||||
\(381\) | −5.52816 | + | 3.19169i | −0.283216 | + | 0.163515i | ||||
\(382\) | 22.0547 | − | 4.32339i | 1.12842 | − | 0.221204i | ||||
\(383\) | −19.4353 | + | 33.6629i | −0.993096 | + | 1.72009i | −0.394963 | + | 0.918697i | \(0.629242\pi\) |
−0.598134 | + | 0.801396i | \(0.704091\pi\) | |||||||
\(384\) | −7.62342 | + | 8.35964i | −0.389031 | + | 0.426601i | ||||
\(385\) | −8.16752 | + | 0.845446i | −0.416255 | + | 0.0430879i | ||||
\(386\) | 26.4018 | + | 9.04395i | 1.34381 | + | 0.460325i | ||||
\(387\) | 5.43151 | + | 3.13588i | 0.276099 | + | 0.159406i | ||||
\(388\) | 14.0758 | + | 1.93263i | 0.714592 | + | 0.0981144i | ||||
\(389\) | 1.86752 | + | 3.23463i | 0.0946869 | + | 0.164002i | 0.909478 | − | 0.415752i | \(-0.136482\pi\) |
−0.814791 | + | 0.579755i | \(0.803148\pi\) | |||||||
\(390\) | 7.83564 | − | 6.83331i | 0.396773 | − | 0.346018i | ||||
\(391\) | −12.3528 | −0.624708 | ||||||||
\(392\) | 14.0227 | + | 13.9773i | 0.708251 | + | 0.705961i | ||||
\(393\) | 3.87202 | 0.195318 | ||||||||
\(394\) | −1.06454 | + | 0.928364i | −0.0536307 | + | 0.0467703i | ||||
\(395\) | −2.18734 | − | 3.78859i | −0.110057 | − | 0.190625i | ||||
\(396\) | −2.50727 | − | 0.344251i | −0.125995 | − | 0.0172993i | ||||
\(397\) | −5.81082 | − | 3.35488i | −0.291637 | − | 0.168377i | 0.347043 | − | 0.937849i | \(-0.387186\pi\) |
−0.638680 | + | 0.769473i | \(0.720519\pi\) | |||||||
\(398\) | 3.61655 | + | 1.23885i | 0.181281 | + | 0.0620980i | ||||
\(399\) | 10.9474 | − | 1.13320i | 0.548058 | − | 0.0567312i | ||||
\(400\) | −1.00754 | − | 3.93433i | −0.0503772 | − | 0.196717i | ||||
\(401\) | −2.92385 | + | 5.06425i | −0.146010 | + | 0.252897i | −0.929749 | − | 0.368193i | \(-0.879976\pi\) |
0.783739 | + | 0.621090i | \(0.213310\pi\) | |||||||
\(402\) | −3.89647 | + | 0.763826i | −0.194338 | + | 0.0380962i | ||||
\(403\) | 24.5044 | − | 14.1476i | 1.22065 | − | 0.704743i | ||||
\(404\) | −0.704748 | − | 1.72848i | −0.0350625 | − | 0.0859949i | ||||
\(405\) | − | 2.45262i | − | 0.121871i | ||||||
\(406\) | 24.0459 | − | 25.7868i | 1.19338 | − | 1.27978i | ||||
\(407\) | − | 9.50492i | − | 0.471142i | ||||||
\(408\) | −0.296046 | − | 5.17659i | −0.0146564 | − | 0.256279i | ||||
\(409\) | −26.7299 | + | 15.4325i | −1.32171 | + | 0.763089i | −0.984001 | − | 0.178162i | \(-0.942985\pi\) |
−0.337708 | + | 0.941251i | \(0.609652\pi\) | |||||||
\(410\) | −0.727058 | − | 3.70891i | −0.0359068 | − | 0.183170i | ||||
\(411\) | 7.35158 | − | 12.7333i | 0.362627 | − | 0.628088i | ||||
\(412\) | −6.52384 | − | 5.06368i | −0.321407 | − | 0.249469i | ||||
\(413\) | 5.22464 | + | 7.21495i | 0.257088 | + | 0.355024i | ||||
\(414\) | −3.08820 | + | 9.01530i | −0.151777 | + | 0.443078i | ||||
\(415\) | −11.3344 | − | 6.54389i | −0.556382 | − | 0.321227i | ||||
\(416\) | −7.28783 | − | 15.3100i | −0.357315 | − | 0.750636i | ||||
\(417\) | −1.00827 | − | 1.74638i | −0.0493754 | − | 0.0855207i | ||||
\(418\) | 4.89277 | + | 5.61045i | 0.239313 | + | 0.274416i | ||||
\(419\) | 29.0866 | 1.42097 | 0.710487 | − | 0.703710i | \(-0.248475\pi\) | ||||
0.710487 | + | 0.703710i | \(0.248475\pi\) | |||||||
\(420\) | −12.9708 | − | 0.432119i | −0.632912 | − | 0.0210852i | ||||
\(421\) | 13.8642 | 0.675702 | 0.337851 | − | 0.941200i | \(-0.390300\pi\) | ||||
0.337851 | + | 0.941200i | \(0.390300\pi\) | |||||||
\(422\) | −16.8982 | − | 19.3768i | −0.822590 | − | 0.943250i | ||||
\(423\) | 3.67579 | + | 6.36666i | 0.178723 | + | 0.309557i | ||||
\(424\) | −0.0911455 | + | 0.181011i | −0.00442642 | + | 0.00879068i | ||||
\(425\) | 1.61192 | + | 0.930641i | 0.0781895 | + | 0.0451427i | ||||
\(426\) | 1.33953 | − | 3.91046i | 0.0649006 | − | 0.189463i | ||||
\(427\) | −26.8158 | − | 11.9898i | −1.29771 | − | 0.580226i | ||||
\(428\) | 16.9750 | − | 21.8699i | 0.820517 | − | 1.05712i | ||||
\(429\) | 1.89647 | − | 3.28479i | 0.0915627 | − | 0.158591i | ||||
\(430\) | 4.18474 | + | 21.3475i | 0.201806 | + | 1.02947i | ||||
\(431\) | −27.6258 | + | 15.9498i | −1.33069 | + | 0.768273i | −0.985405 | − | 0.170226i | \(-0.945550\pi\) |
−0.345282 | + | 0.938499i | \(0.612217\pi\) | |||||||
\(432\) | −3.85198 | − | 1.07809i | −0.185328 | − | 0.0518695i | ||||
\(433\) | − | 9.82239i | − | 0.472034i | −0.971749 | − | 0.236017i | \(-0.924158\pi\) | ||
0.971749 | − | 0.236017i | \(-0.0758421\pi\) | |||||||
\(434\) | −34.4153 | − | 7.94485i | −1.65199 | − | 0.381365i | ||||
\(435\) | 23.1116i | 1.10811i | ||||||||
\(436\) | 1.82360 | − | 0.743532i | 0.0873345 | − | 0.0356087i | ||||
\(437\) | 24.2754 | − | 14.0154i | 1.16125 | − | 0.670449i | ||||
\(438\) | 11.2481 | − | 2.20496i | 0.537453 | − | 0.105357i | ||||
\(439\) | 8.51989 | − | 14.7569i | 0.406632 | − | 0.704308i | −0.587878 | − | 0.808950i | \(-0.700036\pi\) |
0.994510 | + | 0.104642i | \(0.0333697\pi\) | |||||||
\(440\) | −4.81594 | − | 7.33906i | −0.229591 | − | 0.349876i | ||||
\(441\) | −2.18406 | + | 6.65055i | −0.104003 | + | 0.316693i | ||||
\(442\) | 7.35158 | + | 2.51829i | 0.349679 | + | 0.119783i | ||||
\(443\) | 7.30000 | + | 4.21466i | 0.346833 | + | 0.200244i | 0.663290 | − | 0.748363i | \(-0.269160\pi\) |
−0.316456 | + | 0.948607i | \(0.602493\pi\) | |||||||
\(444\) | 2.04349 | − | 14.8832i | 0.0969797 | − | 0.706327i | ||||
\(445\) | 10.5114 | + | 18.2063i | 0.498290 | + | 0.863063i | ||||
\(446\) | −12.3634 | + | 10.7819i | −0.585425 | + | 0.510537i | ||||
\(447\) | −0.496110 | −0.0234652 | ||||||||
\(448\) | −6.38020 | + | 20.1815i | −0.301436 | + | 0.953486i | ||||
\(449\) | 9.64064 | 0.454970 | 0.227485 | − | 0.973782i | \(-0.426950\pi\) | ||||
0.227485 | + | 0.973782i | \(0.426950\pi\) | |||||||
\(450\) | 1.08218 | − | 0.943746i | 0.0510144 | − | 0.0444886i | ||||
\(451\) | −0.689424 | − | 1.19412i | −0.0324637 | − | 0.0562288i | ||||
\(452\) | 1.36892 | − | 9.97021i | 0.0643887 | − | 0.468959i | ||||
\(453\) | 11.4636 | + | 6.61849i | 0.538605 | + | 0.310964i | ||||
\(454\) | 13.5945 | + | 4.65680i | 0.638020 | + | 0.218554i | ||||
\(455\) | 7.93917 | − | 17.7564i | 0.372194 | − | 0.832433i | ||||
\(456\) | 6.45511 | + | 9.83701i | 0.302288 | + | 0.460660i | ||||
\(457\) | 14.5229 | − | 25.1543i | 0.679351 | − | 1.17667i | −0.295825 | − | 0.955242i | \(-0.595595\pi\) |
0.975177 | − | 0.221429i | \(-0.0710720\pi\) | |||||||
\(458\) | −32.0539 | + | 6.28353i | −1.49778 | + | 0.293610i | ||||
\(459\) | 1.58759 | − | 0.916595i | 0.0741023 | − | 0.0427830i | ||||
\(460\) | −30.6072 | + | 12.4794i | −1.42707 | + | 0.581855i | ||||
\(461\) | − | 23.9796i | − | 1.11684i | −0.829559 | − | 0.558420i | \(-0.811408\pi\) | ||
0.829559 | − | 0.558420i | \(-0.188592\pi\) | |||||||
\(462\) | −4.52777 | + | 1.38435i | −0.210651 | + | 0.0644059i | ||||
\(463\) | − | 28.4975i | − | 1.32439i | −0.749331 | − | 0.662196i | \(-0.769625\pi\) | ||
0.749331 | − | 0.662196i | \(-0.230375\pi\) | |||||||
\(464\) | 36.2981 | + | 10.1591i | 1.68510 | + | 0.471623i | ||||
\(465\) | 20.0504 | − | 11.5761i | 0.929813 | − | 0.536828i | ||||
\(466\) | 1.86503 | + | 9.51402i | 0.0863960 | + | 0.440729i | ||||
\(467\) | 9.29075 | − | 16.0921i | 0.429925 | − | 0.744651i | −0.566942 | − | 0.823758i | \(-0.691873\pi\) |
0.996866 | + | 0.0791067i | \(0.0252068\pi\) | |||||||
\(468\) | 3.67579 | − | 4.73574i | 0.169913 | − | 0.218910i | ||||
\(469\) | −6.01655 | + | 4.35683i | −0.277818 | + | 0.201180i | ||||
\(470\) | −8.26338 | + | 24.1231i | −0.381161 | + | 1.11271i | ||||
\(471\) | −4.38345 | − | 2.53079i | −0.201979 | − | 0.116613i | ||||
\(472\) | −4.28287 | + | 8.50561i | −0.197135 | + | 0.391502i | ||||
\(473\) | 3.96813 | + | 6.87300i | 0.182455 | + | 0.316021i | ||||
\(474\) | −1.65794 | − | 1.90113i | −0.0761515 | − | 0.0873217i | ||||
\(475\) | −4.22360 | −0.193792 | ||||||||
\(476\) | −4.56776 | − | 8.55757i | −0.209363 | − | 0.392235i | ||||
\(477\) | −0.0716524 | −0.00328074 | ||||||||
\(478\) | 20.6589 | + | 23.6892i | 0.944915 | + | 1.08352i | ||||
\(479\) | 14.1707 | + | 24.5443i | 0.647475 | + | 1.12146i | 0.983724 | + | 0.179686i | \(0.0575082\pi\) |
−0.336249 | + | 0.941773i | \(0.609158\pi\) | |||||||
\(480\) | −5.96316 | − | 12.5272i | −0.272180 | − | 0.571786i | ||||
\(481\) | 19.4987 | + | 11.2576i | 0.889062 | + | 0.513300i | ||||
\(482\) | −7.07031 | + | 20.6402i | −0.322044 | + | 0.940134i | ||||
\(483\) | 1.83564 | + | 17.7334i | 0.0835247 | + | 0.806899i | ||||
\(484\) | 14.8494 | + | 11.5258i | 0.674972 | + | 0.523900i | ||||
\(485\) | −8.71162 | + | 15.0890i | −0.395574 | + | 0.685154i | ||||
\(486\) | −0.272050 | − | 1.38780i | −0.0123405 | − | 0.0629519i | ||||
\(487\) | −35.9498 | + | 20.7556i | −1.62904 | + | 0.940528i | −0.644662 | + | 0.764468i | \(0.723002\pi\) |
−0.984379 | + | 0.176060i | \(0.943665\pi\) | |||||||
\(488\) | −1.79295 | − | 31.3511i | −0.0811630 | − | 1.41920i | ||||
\(489\) | − | 12.0357i | − | 0.544274i | ||||||
\(490\) | −22.3643 | + | 9.45197i | −1.01032 | + | 0.426996i | ||||
\(491\) | − | 1.72728i | − | 0.0779509i | −0.999240 | − | 0.0389755i | \(-0.987591\pi\) | ||
0.999240 | − | 0.0389755i | \(-0.0124094\pi\) | |||||||
\(492\) | −0.822804 | − | 2.01802i | −0.0370949 | − | 0.0909795i | ||||
\(493\) | −14.9602 | + | 8.63729i | −0.673774 | + | 0.389004i | ||||
\(494\) | −17.3044 | + | 3.39218i | −0.778561 | + | 0.152621i | ||||
\(495\) | 1.55176 | − | 2.68773i | 0.0697465 | − | 0.120805i | ||||
\(496\) | −9.36745 | − | 36.5787i | −0.420611 | − | 1.64243i | ||||
\(497\) | −0.796226 | − | 7.69203i | −0.0357156 | − | 0.345035i | ||||
\(498\) | −7.13935 | − | 2.44559i | −0.319922 | − | 0.109590i | ||||
\(499\) | −36.6216 | − | 21.1435i | −1.63941 | − | 0.946514i | −0.981037 | − | 0.193822i | \(-0.937911\pi\) |
−0.658373 | − | 0.752691i | \(-0.728755\pi\) | |||||||
\(500\) | −19.3641 | − | 2.65872i | −0.865988 | − | 0.118901i | ||||
\(501\) | 3.73212 | + | 6.46422i | 0.166739 | + | 0.288800i | ||||
\(502\) | −23.7634 | + | 20.7236i | −1.06061 | + | 0.924940i | ||||
\(503\) | 4.23770 | 0.188950 | 0.0944748 | − | 0.995527i | \(-0.469883\pi\) | ||||
0.0944748 | + | 0.995527i | \(0.469883\pi\) | |||||||
\(504\) | −7.38741 | + | 1.19424i | −0.329061 | + | 0.0531959i | ||||
\(505\) | 2.28906 | 0.101862 | ||||||||
\(506\) | −9.08820 | + | 7.92564i | −0.404020 | + | 0.352338i | ||||
\(507\) | −2.00766 | − | 3.47737i | −0.0891634 | − | 0.154436i | ||||
\(508\) | −12.6481 | − | 1.73660i | −0.561168 | − | 0.0770491i | ||||
\(509\) | −36.1788 | − | 20.8878i | −1.60360 | − | 0.925836i | −0.990760 | − | 0.135626i | \(-0.956695\pi\) |
−0.612836 | − | 0.790210i | \(-0.709971\pi\) | |||||||
\(510\) | 6.01532 | + | 2.06056i | 0.266363 | + | 0.0912429i | ||||
\(511\) | 17.3681 | − | 12.5770i | 0.768321 | − | 0.556372i | ||||
\(512\) | −22.2959 | + | 3.85896i | −0.985350 | + | 0.170544i | ||||
\(513\) | −2.07993 | + | 3.60254i | −0.0918310 | + | 0.159056i | ||||
\(514\) | −3.98266 | + | 0.780720i | −0.175668 | + | 0.0344361i | ||||
\(515\) | 8.77055 | − | 5.06368i | 0.386476 | − | 0.223132i | ||||
\(516\) | 4.73583 | + | 11.6152i | 0.208483 | + | 0.511329i | ||||
\(517\) | 9.30265i | 0.409130i | ||||||||
\(518\) | −8.21758 | − | 26.8770i | −0.361060 | − | 1.18091i | ||||
\(519\) | − | 4.36398i | − | 0.191557i | ||||||
\(520\) | 20.7595 | − | 1.18722i | 0.910364 | − | 0.0520631i | ||||
\(521\) | 30.2681 | − | 17.4753i | 1.32607 | − | 0.765607i | 0.341381 | − | 0.939925i | \(-0.389105\pi\) |
0.984689 | + | 0.174318i | \(0.0557721\pi\) | |||||||
\(522\) | 2.56359 | + | 13.0776i | 0.112205 | + | 0.572389i | ||||
\(523\) | 6.13503 | − | 10.6262i | 0.268266 | − | 0.464651i | −0.700148 | − | 0.713998i | \(-0.746883\pi\) |
0.968414 | + | 0.249347i | \(0.0802160\pi\) | |||||||
\(524\) | 6.11751 | + | 4.74829i | 0.267245 | + | 0.207430i | ||||
\(525\) | 1.09648 | − | 2.45233i | 0.0478541 | − | 0.107028i | ||||
\(526\) | −4.75317 | + | 13.8758i | −0.207248 | + | 0.605014i | ||||
\(527\) | 14.9865 | + | 8.65246i | 0.652822 | + | 0.376907i | ||||
\(528\) | −3.53914 | − | 3.61857i | −0.154021 | − | 0.157478i | ||||
\(529\) | 11.2032 | + | 19.4044i | 0.487094 | + | 0.843671i | ||||
\(530\) | −0.163347 | − | 0.187307i | −0.00709534 | − | 0.00813610i | ||||
\(531\) | −3.36690 | −0.146111 | ||||||||
\(532\) | 18.6858 | + | 11.6346i | 0.810133 | + | 0.504422i | ||||
\(533\) | 3.26619 | 0.141474 | ||||||||
\(534\) | 7.96733 | + | 9.13601i | 0.344780 | + | 0.395354i | ||||
\(535\) | 16.9750 | + | 29.4016i | 0.733893 | + | 1.27114i | ||||
\(536\) | −7.09283 | − | 3.57149i | −0.306364 | − | 0.154265i | ||||
\(537\) | −21.2754 | − | 12.2834i | −0.918102 | − | 0.530067i | ||||
\(538\) | −2.37086 | + | 6.92118i | −0.102215 | + | 0.298393i | ||||
\(539\) | −6.60122 | + | 5.90625i | −0.284335 | + | 0.254400i | ||||
\(540\) | 3.00766 | − | 3.87495i | 0.129429 | − | 0.166751i | ||||
\(541\) | 0.467883 | − | 0.810397i | 0.0201158 | − | 0.0348417i | −0.855792 | − | 0.517320i | \(-0.826930\pi\) |
0.875908 | + | 0.482478i | \(0.160263\pi\) | |||||||
\(542\) | −6.59424 | − | 33.6390i | −0.283247 | − | 1.44492i | ||||
\(543\) | −10.1483 | + | 5.85912i | −0.435505 | + | 0.251439i | ||||
\(544\) | 5.88036 | − | 8.54167i | 0.252118 | − | 0.366221i | ||||
\(545\) | 2.41503i | 0.103449i | ||||||||
\(546\) | 2.52275 | − | 10.9280i | 0.107964 | − | 0.467675i | ||||
\(547\) | 7.13048i | 0.304877i | 0.988313 | + | 0.152439i | \(0.0487127\pi\) | ||||
−0.988313 | + | 0.152439i | \(0.951287\pi\) | |||||||
\(548\) | 27.2299 | − | 11.1024i | 1.16320 | − | 0.474271i | ||||
\(549\) | 9.61496 | − | 5.55120i | 0.410356 | − | 0.236919i | ||||
\(550\) | 1.78302 | − | 0.349526i | 0.0760284 | − | 0.0149038i | ||||
\(551\) | 19.5996 | − | 33.9476i | 0.834973 | − | 1.44621i | ||||
\(552\) | −15.9347 | + | 10.4564i | −0.678224 | + | 0.445055i | ||||
\(553\) | −4.30816 | − | 1.92625i | −0.183201 | − | 0.0819123i | ||||
\(554\) | −4.03419 | − | 1.38192i | −0.171396 | − | 0.0587120i | ||||
\(555\) | 15.9545 | + | 9.21133i | 0.677231 | + | 0.390999i | ||||
\(556\) | 0.548603 | − | 3.99561i | 0.0232659 | − | 0.169452i | ||||
\(557\) | −4.97622 | − | 8.61907i | −0.210849 | − | 0.365202i | 0.741131 | − | 0.671360i | \(-0.234290\pi\) |
−0.951981 | + | 0.306159i | \(0.900956\pi\) | |||||||
\(558\) | 10.0613 | − | 8.77430i | 0.425931 | − | 0.371446i | ||||
\(559\) | −18.7993 | −0.795124 | ||||||||
\(560\) | −19.9630 | − | 16.5889i | −0.843593 | − | 0.701011i | ||||
\(561\) | 2.31971 | 0.0979381 | ||||||||
\(562\) | 7.37481 | − | 6.43143i | 0.311088 | − | 0.271293i | ||||
\(563\) | 0.844531 | + | 1.46277i | 0.0355927 | + | 0.0616484i | 0.883273 | − | 0.468859i | \(-0.155335\pi\) |
−0.847680 | + | 0.530507i | \(0.822001\pi\) | |||||||
\(564\) | −2.00000 | + | 14.5665i | −0.0842152 | + | 0.613360i | ||||
\(565\) | 10.6878 | + | 6.17063i | 0.449641 | + | 0.259600i | ||||
\(566\) | 27.5258 | + | 9.42899i | 1.15700 | + | 0.396330i | ||||
\(567\) | −1.55176 | − | 2.14290i | −0.0651679 | − | 0.0899935i | ||||
\(568\) | 6.91180 | − | 4.53557i | 0.290013 | − | 0.190308i | ||||
\(569\) | 6.96935 | − | 12.0713i | 0.292170 | − | 0.506054i | −0.682152 | − | 0.731210i | \(-0.738956\pi\) |
0.974323 | + | 0.225156i | \(0.0722892\pi\) | |||||||
\(570\) | −14.1591 | + | 2.77560i | −0.593058 | + | 0.116257i | ||||
\(571\) | −16.1591 | + | 9.32947i | −0.676238 | + | 0.390426i | −0.798436 | − | 0.602079i | \(-0.794339\pi\) |
0.122198 | + | 0.992506i | \(0.461006\pi\) | |||||||
\(572\) | 7.02446 | − | 2.86407i | 0.293707 | − | 0.119753i | ||||
\(573\) | 15.8919i | 0.663893i | ||||||||
\(574\) | −2.98186 | − | 2.78055i | −0.124461 | − | 0.116058i | ||||
\(575\) | − | 6.84168i | − | 0.285318i | ||||||
\(576\) | −4.76378 | − | 6.42701i | −0.198491 | − | 0.267792i | ||||
\(577\) | 29.4591 | − | 17.0082i | 1.22640 | − | 0.708062i | 0.260125 | − | 0.965575i | \(-0.416236\pi\) |
0.966275 | + | 0.257513i | \(0.0829031\pi\) | |||||||
\(578\) | −3.71061 | − | 18.9288i | −0.154341 | − | 0.787333i | ||||
\(579\) | −9.86690 | + | 17.0900i | −0.410055 | + | 0.710235i | ||||
\(580\) | −28.3419 | + | 36.5146i | −1.17683 | + | 1.51619i | ||||
\(581\) | −14.0434 | + | 1.45367i | −0.582617 | + | 0.0603086i | ||||
\(582\) | −3.25572 | + | 9.50433i | −0.134954 | + | 0.393967i | ||||
\(583\) | −0.0785213 | − | 0.0453343i | −0.00325202 | − | 0.00187755i | ||||
\(584\) | 20.4751 | + | 10.3099i | 0.847264 | + | 0.426627i | ||||
\(585\) | 3.67579 | + | 6.36666i | 0.151975 | + | 0.263229i | ||||
\(586\) | −26.3154 | − | 30.1755i | −1.08708 | − | 1.24654i | ||||
\(587\) | −41.9153 | −1.73003 | −0.865015 | − | 0.501746i | \(-0.832691\pi\) | ||||
−0.865015 | + | 0.501746i | \(0.832691\pi\) | |||||||
\(588\) | −11.6063 | + | 7.82905i | −0.478635 | + | 0.322865i | ||||
\(589\) | −39.2681 | −1.61801 | ||||||||
\(590\) | −7.67557 | − | 8.80145i | −0.315998 | − | 0.362350i | ||||
\(591\) | −0.499388 | − | 0.864965i | −0.0205421 | − | 0.0355799i | ||||
\(592\) | 21.4800 | − | 21.0085i | 0.882822 | − | 0.863443i | ||||
\(593\) | 21.1354 | + | 12.2025i | 0.867927 | + | 0.501098i | 0.866659 | − | 0.498901i | \(-0.166263\pi\) |
0.00126806 | + | 0.999999i | \(0.499596\pi\) | |||||||
\(594\) | 0.579927 | − | 1.69296i | 0.0237947 | − | 0.0694632i | ||||
\(595\) | 11.8324 | − | 1.22481i | 0.485080 | − | 0.0502121i | ||||
\(596\) | −0.783818 | − | 0.608384i | −0.0321064 | − | 0.0249204i | ||||
\(597\) | −1.35158 | + | 2.34101i | −0.0553165 | + | 0.0958110i | ||||
\(598\) | −5.49489 | − | 28.0308i | −0.224703 | − | 1.14627i | ||||
\(599\) | −18.0000 | + | 10.3923i | −0.735460 | + | 0.424618i | −0.820416 | − | 0.571767i | \(-0.806258\pi\) |
0.0849563 | + | 0.996385i | \(0.472925\pi\) | |||||||
\(600\) | 2.86709 | − | 0.163967i | 0.117048 | − | 0.00669391i | ||||
\(601\) | 10.6623i | 0.434924i | 0.976069 | + | 0.217462i | \(0.0697778\pi\) | ||||
−0.976069 | + | 0.217462i | \(0.930222\pi\) | |||||||
\(602\) | 17.1628 | + | 16.0041i | 0.699502 | + | 0.652277i | ||||
\(603\) | − | 2.80766i | − | 0.114337i | ||||||
\(604\) | 9.99528 | + | 24.5146i | 0.406702 | + | 0.997484i | ||||
\(605\) | −19.9633 | + | 11.5258i | −0.811622 | + | 0.468590i | ||||
\(606\) | 1.29525 | − | 0.253908i | 0.0526160 | − | 0.0103143i | ||||
\(607\) | 20.0215 | − | 34.6782i | 0.812646 | − | 1.40754i | −0.0983597 | − | 0.995151i | \(-0.531360\pi\) |
0.911006 | − | 0.412393i | \(-0.135307\pi\) | |||||||
\(608\) | −1.86460 | + | 23.4577i | −0.0756196 | + | 0.951335i | ||||
\(609\) | 14.6226 | + | 20.1931i | 0.592539 | + | 0.818265i | ||||
\(610\) | 36.4308 | + | 12.4794i | 1.47504 | + | 0.505276i | ||||
\(611\) | −19.0837 | − | 11.0180i | −0.772044 | − | 0.445740i | ||||
\(612\) | 3.63230 | + | 0.498720i | 0.146827 | + | 0.0201596i | ||||
\(613\) | −11.2481 | − | 19.4822i | −0.454305 | − | 0.786879i | 0.544343 | − | 0.838863i | \(-0.316779\pi\) |
−0.998648 | + | 0.0519838i | \(0.983446\pi\) | |||||||
\(614\) | 9.22591 | − | 8.04574i | 0.372328 | − | 0.324700i | ||||
\(615\) | 2.67251 | 0.107766 | ||||||||
\(616\) | −8.85118 | − | 3.36526i | −0.356624 | − | 0.135590i | ||||
\(617\) | −18.0820 | −0.727954 | −0.363977 | − | 0.931408i | \(-0.618581\pi\) | ||||
−0.363977 | + | 0.931408i | \(0.618581\pi\) | |||||||
\(618\) | 4.40109 | − | 3.83811i | 0.177038 | − | 0.154391i | ||||
\(619\) | 16.0465 | + | 27.7933i | 0.644962 | + | 1.11711i | 0.984310 | + | 0.176446i | \(0.0564601\pi\) |
−0.339348 | + | 0.940661i | \(0.610207\pi\) | |||||||
\(620\) | 45.8739 | + | 6.29855i | 1.84234 | + | 0.252956i | ||||
\(621\) | −5.83564 | − | 3.36921i | −0.234176 | − | 0.135202i | ||||
\(622\) | 12.4994 | + | 4.28168i | 0.501180 | + | 0.171680i | ||||
\(623\) | 20.7032 | + | 9.25671i | 0.829455 | + | 0.370862i | ||||
\(624\) | 11.6150 | − | 2.97448i | 0.464971 | − | 0.119074i | ||||
\(625\) | 14.5229 | − | 25.1543i | 0.580915 | − | 1.00617i | ||||
\(626\) | 10.2357 | − | 2.00650i | 0.409100 | − | 0.0801958i | ||||
\(627\) | −4.55863 | + | 2.63193i | −0.182054 | + | 0.105109i | ||||
\(628\) | −3.82201 | − | 9.37392i | −0.152515 | − | 0.374060i | ||||
\(629\) | 13.7699i | 0.549041i | ||||||||
\(630\) | 2.06421 | − | 8.94168i | 0.0822399 | − | 0.356245i | ||||
\(631\) | − | 2.95509i | − | 0.117640i | −0.998269 | − | 0.0588201i | \(-0.981266\pi\) | ||
0.998269 | − | 0.0588201i | \(-0.0187338\pi\) | |||||||
\(632\) | −0.288050 | − | 5.03678i | −0.0114580 | − | 0.200352i | ||||
\(633\) | 15.7442 | − | 9.08990i | 0.625774 | − | 0.361291i | ||||
\(634\) | 0.987620 | + | 5.03811i | 0.0392234 | + | 0.200089i | ||||
\(635\) | 7.82798 | − | 13.5585i | 0.310644 | − | 0.538051i | ||||
\(636\) | −0.113206 | − | 0.0878679i | −0.00448889 | − | 0.00348419i | ||||
\(637\) | −4.29780 | − | 20.5372i | −0.170285 | − | 0.813715i | ||||
\(638\) | −5.46479 | + | 15.9532i | −0.216353 | + | 0.631593i | ||||
\(639\) | 2.53126 | + | 1.46142i | 0.100135 | + | 0.0578130i | ||||
\(640\) | 5.94085 | − | 27.1048i | 0.234833 | − | 1.07141i | ||||
\(641\) | 20.7459 | + | 35.9329i | 0.819412 | + | 1.41926i | 0.906116 | + | 0.423029i | \(0.139033\pi\) |
−0.0867040 | + | 0.996234i | \(0.527633\pi\) | |||||||
\(642\) | 12.8665 | + | 14.7538i | 0.507801 | + | 0.582286i | ||||
\(643\) | 16.7686 | 0.661290 | 0.330645 | − | 0.943755i | \(-0.392734\pi\) | ||||
0.330645 | + | 0.943755i | \(0.392734\pi\) | |||||||
\(644\) | −18.8465 | + | 30.2686i | −0.742655 | + | 1.19275i | ||||
\(645\) | −15.3822 | −0.605675 | ||||||||
\(646\) | −7.08820 | − | 8.12792i | −0.278882 | − | 0.319789i | ||||
\(647\) | 9.31180 | + | 16.1285i | 0.366085 | + | 0.634077i | 0.988950 | − | 0.148252i | \(-0.0473647\pi\) |
−0.622865 | + | 0.782329i | \(0.714031\pi\) | |||||||
\(648\) | 1.27205 | − | 2.52624i | 0.0499709 | − | 0.0992401i | ||||
\(649\) | −3.68967 | − | 2.13023i | −0.144832 | − | 0.0836189i | ||||
\(650\) | −1.39477 | + | 4.07172i | −0.0547075 | + | 0.159706i | ||||
\(651\) | 10.1943 | − | 22.8001i | 0.399545 | − | 0.893605i | ||||
\(652\) | 14.7595 | − | 19.0155i | 0.578026 | − | 0.744706i | ||||
\(653\) | −12.8305 | + | 22.2230i | −0.502095 | + | 0.869654i | 0.497902 | + | 0.867233i | \(0.334104\pi\) |
−0.999997 | + | 0.00242072i | \(0.999229\pi\) | |||||||
\(654\) | 0.267881 | + | 1.36653i | 0.0104750 | + | 0.0534357i | ||||
\(655\) | −8.22428 | + | 4.74829i | −0.321349 | + | 0.185531i | ||||
\(656\) | 1.17475 | − | 4.19734i | 0.0458661 | − | 0.163879i | ||||
\(657\) | 8.10495i | 0.316204i | ||||||||
\(658\) | 8.04270 | + | 26.3050i | 0.313537 | + | 1.02548i | ||||
\(659\) | − | 27.7044i | − | 1.07921i | −0.841919 | − | 0.539604i | \(-0.818574\pi\) | ||
0.841919 | − | 0.539604i | \(-0.181426\pi\) | |||||||
\(660\) | 5.74766 | − | 2.34348i | 0.223727 | − | 0.0912199i | ||||
\(661\) | −29.5472 | + | 17.0591i | −1.14925 | + | 0.663522i | −0.948705 | − | 0.316162i | \(-0.897606\pi\) |
−0.200548 | + | 0.979684i | \(0.564272\pi\) | |||||||
\(662\) | 0.872019 | − | 0.170942i | 0.0338920 | − | 0.00664385i | ||||
\(663\) | −2.74744 | + | 4.75871i | −0.106702 | + | 0.184813i | ||||
\(664\) | −8.28060 | − | 12.6189i | −0.321350 | − | 0.489708i | ||||
\(665\) | −21.8630 | + | 15.8319i | −0.847811 | + | 0.613935i | ||||
\(666\) | 10.0495 | + | 3.44247i | 0.389411 | + | 0.133393i | ||||
\(667\) | 54.9906 | + | 31.7489i | 2.12925 | + | 1.22932i | ||||
\(668\) | −2.03065 | + | 14.7897i | −0.0785681 | + | 0.572231i | ||||
\(669\) | −5.79982 | − | 10.0456i | −0.224234 | − | 0.388385i | ||||
\(670\) | 7.33953 | − | 6.40066i | 0.283551 | − | 0.247279i | ||||
\(671\) | 14.0489 | 0.542352 | ||||||||
\(672\) | −13.1361 | − | 7.17242i | −0.506735 | − | 0.276682i | ||||
\(673\) | −17.7032 | −0.682407 | −0.341203 | − | 0.939990i | \(-0.610834\pi\) | ||||
−0.341203 | + | 0.939990i | \(0.610834\pi\) | |||||||
\(674\) | 23.7811 | − | 20.7390i | 0.916012 | − | 0.798836i | ||||
\(675\) | 0.507662 | + | 0.879296i | 0.0195399 | + | 0.0338441i | ||||
\(676\) | 1.09237 | − | 7.95601i | 0.0420142 | − | 0.306000i | ||||
\(677\) | −35.5808 | − | 20.5426i | −1.36748 | − | 0.789516i | −0.376876 | − | 0.926264i | \(-0.623002\pi\) |
−0.990606 | + | 0.136747i | \(0.956335\pi\) | |||||||
\(678\) | 6.73212 | + | 2.30609i | 0.258545 | + | 0.0885650i | ||||
\(679\) | 1.93522 | + | 18.6954i | 0.0742668 | + | 0.717462i | ||||
\(680\) | 6.97690 | + | 10.6322i | 0.267552 | + | 0.407725i | ||||
\(681\) | −5.08054 | + | 8.79975i | −0.194687 | + | 0.337207i | ||||
\(682\) | 16.5773 | − | 3.24965i | 0.634779 | − | 0.124436i | ||||
\(683\) | −18.3842 | + | 10.6141i | −0.703450 | + | 0.406137i | −0.808631 | − | 0.588316i | \(-0.799791\pi\) |
0.105181 | + | 0.994453i | \(0.466458\pi\) | |||||||
\(684\) | −7.70395 | + | 3.14112i | −0.294568 | + | 0.120104i | ||||
\(685\) | 36.0612i | 1.37783i | ||||||||
\(686\) | −13.5599 | + | 22.4082i | −0.517721 | + | 0.855550i | ||||
\(687\) | − | 23.0970i | − | 0.881204i | ||||||
\(688\) | −6.76151 | + | 24.1587i | −0.257780 | + | 0.921042i | ||||
\(689\) | 0.186000 | − | 0.107387i | 0.00708603 | − | 0.00409112i | ||||
\(690\) | −4.49611 | − | 22.9358i | −0.171164 | − | 0.873152i | ||||
\(691\) | −19.4878 | + | 33.7539i | −0.741352 | + | 1.28406i | 0.210528 | + | 0.977588i | \(0.432482\pi\) |
−0.951880 | + | 0.306472i | \(0.900851\pi\) | |||||||
\(692\) | 5.35158 | − | 6.89477i | 0.203437 | − | 0.262100i | ||||
\(693\) | −0.344712 | − | 3.33012i | −0.0130945 | − | 0.126501i | ||||
\(694\) | 3.15985 | − | 9.22447i | 0.119946 | − | 0.350156i | ||||
\(695\) | 4.28321 | + | 2.47291i | 0.162471 | + | 0.0938028i | ||||
\(696\) | −11.9868 | + | 23.8053i | −0.454359 | + | 0.902339i | ||||
\(697\) | 0.998775 | + | 1.72993i | 0.0378313 | + | 0.0655257i | ||||
\(698\) | 12.5268 | + | 14.3642i | 0.474145 | + | 0.543694i | ||||
\(699\) | −6.85547 | −0.259298 | ||||||||
\(700\) | 4.73966 | − | 2.52989i | 0.179142 | − | 0.0956207i | ||||
\(701\) | 4.28115 | 0.161697 | 0.0808485 | − | 0.996726i | \(-0.474237\pi\) | ||||
0.0808485 | + | 0.996726i | \(0.474237\pi\) | |||||||
\(702\) | 2.78613 | + | 3.19481i | 0.105156 | + | 0.120580i | ||||
\(703\) | −15.6232 | − | 27.0602i | −0.589241 | − | 1.02060i | ||||
\(704\) | −1.15410 | − | 10.0572i | −0.0434967 | − | 0.379043i | ||||
\(705\) | −15.6150 | − | 9.01530i | −0.588093 | − | 0.339536i | ||||
\(706\) | 13.1002 | − | 38.2432i | 0.493034 | − | 1.43930i | ||||
\(707\) | 2.00000 | − | 1.44828i | 0.0752177 | − | 0.0544682i | ||||
\(708\) | −5.31946 | − | 4.12886i | −0.199918 | − | 0.155172i | ||||
\(709\) | 21.8796 | − | 37.8965i | 0.821704 | − | 1.42323i | −0.0827080 | − | 0.996574i | \(-0.526357\pi\) |
0.904412 | − | 0.426660i | \(-0.140310\pi\) | |||||||
\(710\) | 1.95023 | + | 9.94861i | 0.0731907 | + | 0.373365i | ||||
\(711\) | 1.54471 | − | 0.891841i | 0.0579313 | − | 0.0334466i | ||||
\(712\) | 1.38425 | + | 24.2046i | 0.0518768 | + | 0.907107i | ||||
\(713\) | − | 63.6092i | − | 2.38218i | ||||||
\(714\) | 6.55942 | − | 2.00553i | 0.245480 | − | 0.0750549i | ||||
\(715\) | 9.30265i | 0.347899i | ||||||||
\(716\) | −18.5504 | − | 45.4971i | −0.693262 | − | 1.70030i | ||||
\(717\) | −19.2481 | + | 11.1129i | −0.718832 | + | 0.415018i | ||||
\(718\) | −9.61496 | + | 1.88482i | −0.358827 | + | 0.0703409i | ||||
\(719\) | −20.7657 | + | 35.9672i | −0.774429 | + | 1.34135i | 0.160685 | + | 0.987006i | \(0.448630\pi\) |
−0.935115 | + | 0.354345i | \(0.884704\pi\) | |||||||
\(720\) | 9.50377 | − | 2.43382i | 0.354185 | − | 0.0907033i | ||||
\(721\) | 4.45924 | − | 9.97334i | 0.166071 | − | 0.371427i | ||||
\(722\) | −2.26856 | − | 0.777097i | −0.0844270 | − | 0.0289205i | ||||
\(723\) | −13.3605 | − | 7.71367i | −0.496881 | − | 0.286874i | ||||
\(724\) | −23.2187 | − | 3.18795i | −0.862915 | − | 0.118479i | ||||
\(725\) | −4.78382 | − | 8.28582i | −0.177667 | − | 0.307727i | ||||
\(726\) | −10.0176 | + | 8.73619i | −0.371789 | + | 0.324230i | ||||
\(727\) | −7.19963 | −0.267020 | −0.133510 | − | 0.991047i | \(-0.542625\pi\) | ||||
−0.133510 | + | 0.991047i | \(0.542625\pi\) | |||||||
\(728\) | 17.3869 | − | 14.1718i | 0.644400 | − | 0.525241i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −21.1872 | + | 18.4770i | −0.784174 | + | 0.683863i | ||||
\(731\) | −5.74867 | − | 9.95698i | −0.212622 | − | 0.368272i | ||||
\(732\) | 21.9984 | + | 3.02041i | 0.813085 | + | 0.111638i | ||||
\(733\) | 20.9219 | + | 12.0793i | 0.772768 | + | 0.446158i | 0.833861 | − | 0.551974i | \(-0.186125\pi\) |
−0.0610934 | + | 0.998132i | \(0.519459\pi\) | |||||||
\(734\) | −17.3173 | − | 5.93205i | −0.639192 | − | 0.218956i | ||||
\(735\) | −3.51661 | − | 16.8043i | −0.129712 | − | 0.619836i | ||||
\(736\) | −37.9984 | − | 3.02041i | −1.40064 | − | 0.111334i | ||||
\(737\) | 1.77640 | − | 3.07682i | 0.0654345 | − | 0.113336i | ||||
\(738\) | 1.51223 | − | 0.296442i | 0.0556659 | − | 0.0109122i | ||||
\(739\) | 8.16690 | − | 4.71516i | 0.300424 | − | 0.173450i | −0.342209 | − | 0.939624i | \(-0.611175\pi\) |
0.642634 | + | 0.766174i | \(0.277842\pi\) | |||||||
\(740\) | 13.9110 | + | 34.1184i | 0.511379 | + | 1.25422i | ||||
\(741\) | − | 12.4689i | − | 0.458058i | ||||||
\(742\) | −0.261228 | − | 0.0603051i | −0.00958999 | − | 0.00221387i | ||||
\(743\) | 2.32851i | 0.0854248i | 0.999087 | + | 0.0427124i | \(0.0135999\pi\) | ||||
−0.999087 | + | 0.0427124i | \(0.986400\pi\) | |||||||
\(744\) | 26.6562 | − | 1.52445i | 0.977263 | − | 0.0558890i | ||||
\(745\) | 1.05375 | − | 0.608384i | 0.0386065 | − | 0.0222895i | ||||
\(746\) | −0.837662 | − | 4.27313i | −0.0306690 | − | 0.156451i | ||||
\(747\) | 2.66813 | − | 4.62133i | 0.0976217 | − | 0.169086i | ||||
\(748\) | 3.66497 | + | 2.84468i | 0.134005 | + | 0.104012i | ||||
\(749\) | 33.4337 | + | 14.9487i | 1.22164 | + | 0.546215i | ||||
\(750\) | 4.47889 | − | 13.0751i | 0.163546 | − | 0.477435i | ||||
\(751\) | −26.9834 | − | 15.5789i | −0.984638 | − | 0.568481i | −0.0809709 | − | 0.996716i | \(-0.525802\pi\) |
−0.903667 | + | 0.428235i | \(0.859135\pi\) | |||||||
\(752\) | −21.0229 | + | 20.5614i | −0.766625 | + | 0.749797i | ||||
\(753\) | −11.1477 | − | 19.3084i | −0.406244 | − | 0.703636i | ||||
\(754\) | −26.2544 | − | 30.1054i | −0.956128 | − | 1.09638i | ||||
\(755\) | −32.4652 | −1.18153 | ||||||||
\(756\) | 0.176187 | − | 5.28857i | 0.00640786 | − | 0.192343i | ||||
\(757\) | −0.559856 | −0.0203483 | −0.0101742 | − | 0.999948i | \(-0.503239\pi\) | ||||
−0.0101742 | + | 0.999948i | \(0.503239\pi\) | |||||||
\(758\) | −4.84289 | − | 5.55326i | −0.175902 | − | 0.201704i | ||||
\(759\) | −4.26338 | − | 7.38439i | −0.154751 | − | 0.268036i | ||||
\(760\) | −25.7740 | − | 12.9781i | −0.934922 | − | 0.470766i | ||||
\(761\) | 39.6196 | + | 22.8744i | 1.43621 | + | 0.829196i | 0.997584 | − | 0.0694744i | \(-0.0221322\pi\) |
0.438625 | + | 0.898670i | \(0.355466\pi\) | |||||||
\(762\) | 2.92548 | − | 8.54029i | 0.105979 | − | 0.309382i | ||||
\(763\) | 1.52798 | + | 2.11006i | 0.0553167 | + | 0.0763895i | ||||
\(764\) | −19.4883 | + | 25.1080i | −0.705063 | + | 0.908376i | ||||
\(765\) | −2.24806 | + | 3.89375i | −0.0812786 | + | 0.140779i | ||||
\(766\) | −10.5747 | − | 53.9446i | −0.382081 | − | 1.94910i | ||||
\(767\) | 8.74002 | − | 5.04606i | 0.315584 | − | 0.182203i | ||||
\(768\) | 0.355074 | − | 15.9961i | 0.0128126 | − | 0.577208i | ||||
\(769\) | 8.33377i | 0.300524i | 0.988646 | + | 0.150262i | \(0.0480117\pi\) | ||||
−0.988646 | + | 0.150262i | \(0.951988\pi\) | |||||||
\(770\) | 7.91946 | − | 8.49284i | 0.285398 | − | 0.306061i | ||||
\(771\) | − | 2.86976i | − | 0.103352i | ||||||
\(772\) | −36.5466 | + | 14.9011i | −1.31534 | + | 0.536301i | ||||
\(773\) | 26.5674 | − | 15.3387i | 0.955563 | − | 0.551695i | 0.0607584 | − | 0.998153i | \(-0.480648\pi\) |
0.894805 | + | 0.446458i | \(0.147315\pi\) | |||||||
\(774\) | −8.70395 | + | 1.70624i | −0.312857 | + | 0.0613294i | ||||
\(775\) | −4.79222 | + | 8.30037i | −0.172142 | + | 0.298158i | ||||
\(776\) | −16.7990 | + | 11.0236i | −0.603050 | + | 0.395725i | ||||
\(777\) | 19.7678 | − | 2.04622i | 0.709165 | − | 0.0734079i | ||||
\(778\) | −4.99708 | − | 1.71176i | −0.179154 | − | 0.0613695i | ||||
\(779\) | −3.92554 | − | 2.26641i | −0.140647 | − | 0.0812025i | ||||
\(780\) | −2.00000 | + | 14.5665i | −0.0716115 | + | 0.521564i | ||||
\(781\) | 1.84928 | + | 3.20304i | 0.0661723 | + | 0.114614i | ||||
\(782\) | 13.1662 | − | 11.4820i | 0.470821 | − | 0.410594i | ||||
\(783\) | −9.42323 | −0.336759 | ||||||||
\(784\) | −27.9379 | − | 1.86355i | −0.997783 | − | 0.0665555i | ||||
\(785\) | 12.4141 | 0.443078 | ||||||||
\(786\) | −4.12697 | + | 3.59905i | −0.147204 | + | 0.128374i | ||||
\(787\) | 11.0792 | + | 19.1897i | 0.394931 | + | 0.684040i | 0.993092 | − | 0.117335i | \(-0.0374353\pi\) |
−0.598162 | + | 0.801375i | \(0.704102\pi\) | |||||||
\(788\) | 0.271717 | − | 1.97898i | 0.00967952 | − | 0.0704984i | ||||
\(789\) | −8.98186 | − | 5.18568i | −0.319763 | − | 0.184615i | ||||
\(790\) | 5.85287 | + | 2.00491i | 0.208236 | + | 0.0713314i | ||||
\(791\) | 13.2423 | − | 1.37076i | 0.470843 | − | 0.0487385i | ||||
\(792\) | 2.99234 | − | 1.96359i | 0.106328 | − | 0.0697732i | ||||
\(793\) | −16.6394 | + | 28.8203i | −0.590883 | + | 1.02344i | ||||
\(794\) | 9.31180 | − | 1.82539i | 0.330463 | − | 0.0647807i | ||||
\(795\) | 0.152192 | − | 0.0878679i | 0.00539768 | − | 0.00311635i | ||||
\(796\) | −5.00619 | + | 2.04116i | −0.177440 | + | 0.0723472i | ||||
\(797\) | − | 24.1705i | − | 0.856164i | −0.903740 | − | 0.428082i | \(-0.859189\pi\) | ||
0.903740 | − | 0.428082i | \(-0.140811\pi\) | |||||||
\(798\) | −10.6150 | + | 11.3835i | −0.375766 | + | 0.402971i | ||||
\(799\) | − | 13.4768i | − | 0.476776i | ||||||
\(800\) | 4.73086 | + | 3.25687i | 0.167261 | + | 0.115148i | ||||
\(801\) | −7.42323 | + | 4.28581i | −0.262287 | + | 0.151431i | ||||
\(802\) | −1.59087 | − | 8.11542i | −0.0561754 | − | 0.286566i | ||||
\(803\) | −5.12798 | + | 8.88192i | −0.180963 | + | 0.313436i | ||||
\(804\) | 3.44306 | − | 4.43590i | 0.121427 | − | 0.156442i | ||||
\(805\) | −25.6456 | − | 35.4152i | −0.903889 | − | 1.24822i | ||||
\(806\) | −12.9676 | + | 37.8560i | −0.456765 | + | 1.33342i | ||||
\(807\) | −4.48011 | − | 2.58659i | −0.157707 | − | 0.0910524i | ||||
\(808\) | 2.35777 | + | 1.18722i | 0.0829462 | + | 0.0417663i | ||||
\(809\) | −7.61046 | − | 13.1817i | −0.267569 | − | 0.463444i | 0.700664 | − | 0.713491i | \(-0.252887\pi\) |
−0.968234 | + | 0.250047i | \(0.919554\pi\) | |||||||
\(810\) | 2.27971 | + | 2.61411i | 0.0801009 | + | 0.0918504i | ||||
\(811\) | 48.4574 | 1.70157 | 0.850785 | − | 0.525515i | \(-0.176127\pi\) | ||||
0.850785 | + | 0.525515i | \(0.176127\pi\) | |||||||
\(812\) | −1.66025 | + | 49.8354i | −0.0582634 | + | 1.74888i | ||||
\(813\) | 24.2391 | 0.850101 | ||||||||
\(814\) | 8.83485 | + | 10.1308i | 0.309661 | + | 0.355083i | ||||
\(815\) | 14.7595 | + | 25.5642i | 0.517002 | + | 0.895474i | ||||
\(816\) | 5.12719 | + | 5.24226i | 0.179487 | + | 0.183516i | ||||
\(817\) | 22.5943 | + | 13.0448i | 0.790474 | + | 0.456380i | ||||
\(818\) | 14.1454 | − | 41.2942i | 0.494581 | − | 1.44382i | ||||
\(819\) | 7.23978 | + | 3.23702i | 0.252978 | + | 0.113111i | ||||
\(820\) | 4.22238 | + | 3.27732i | 0.147452 | + | 0.114449i | ||||
\(821\) | −25.7647 | + | 44.6257i | −0.899193 | + | 1.55745i | −0.0706654 | + | 0.997500i | \(0.522512\pi\) |
−0.828528 | + | 0.559948i | \(0.810821\pi\) | |||||||
\(822\) | 4.00000 | + | 20.4050i | 0.139516 | + | 0.711708i | ||||
\(823\) | 1.90279 | − | 1.09858i | 0.0663272 | − | 0.0382941i | −0.466470 | − | 0.884537i | \(-0.654474\pi\) |
0.532797 | + | 0.846243i | \(0.321141\pi\) | |||||||
\(824\) | 11.6601 | − | 0.666834i | 0.406199 | − | 0.0232303i | ||||
\(825\) | 1.28479i | 0.0447305i | ||||||||
\(826\) | −12.2750 | − | 2.83370i | −0.427101 | − | 0.0985971i | ||||
\(827\) | 10.2864i | 0.357693i | 0.983877 | + | 0.178846i | \(0.0572365\pi\) | ||||
−0.983877 | + | 0.178846i | \(0.942763\pi\) | |||||||
\(828\) | −5.08820 | − | 12.4794i | −0.176827 | − | 0.433689i | ||||
\(829\) | 0.662548 | − | 0.382522i | 0.0230112 | − | 0.0132855i | −0.488450 | − | 0.872592i | \(-0.662438\pi\) |
0.511461 | + | 0.859306i | \(0.329104\pi\) | |||||||
\(830\) | 18.1632 | − | 3.56054i | 0.630455 | − | 0.123588i | ||||
\(831\) | 1.50766 | − | 2.61135i | 0.0523002 | − | 0.0905866i | ||||
\(832\) | 21.9984 | + | 9.54406i | 0.762658 | + | 0.330881i | ||||
\(833\) | 9.56326 | − | 8.55644i | 0.331347 | − | 0.296463i | ||||
\(834\) | 2.69793 | + | 0.924179i | 0.0934217 | + | 0.0320017i | ||||
\(835\) | −15.8542 | − | 9.15345i | −0.548659 | − | 0.316768i | ||||
\(836\) | −10.4299 | − | 1.43203i | −0.360724 | − | 0.0495279i | ||||
\(837\) | 4.71989 | + | 8.17509i | 0.163143 | + | 0.282572i | ||||
\(838\) | −31.0018 | + | 27.0361i | −1.07094 | + | 0.933946i | ||||
\(839\) | −3.50389 | −0.120968 | −0.0604839 | − | 0.998169i | \(-0.519264\pi\) | ||||
−0.0604839 | + | 0.998169i | \(0.519264\pi\) | |||||||
\(840\) | 14.2265 | − | 11.5958i | 0.490862 | − | 0.400095i | ||||
\(841\) | 59.7973 | 2.06198 | ||||||||
\(842\) | −14.7771 | + | 12.8868i | −0.509253 | + | 0.444110i | ||||
\(843\) | 3.45961 | + | 5.99222i | 0.119155 | + | 0.206383i | ||||
\(844\) | 36.0216 | + | 4.94582i | 1.23992 | + | 0.170242i | ||||
\(845\) | 8.52866 | + | 4.92402i | 0.293395 | + | 0.169392i | ||||
\(846\) | −9.83564 | − | 3.36921i | −0.338156 | − | 0.115836i | ||||
\(847\) | −10.1500 | + | 22.7010i | −0.348758 | + | 0.780017i | ||||
\(848\) | −0.0711034 | − | 0.277650i | −0.00244170 | − | 0.00953453i | ||||
\(849\) | −10.2870 | + | 17.8176i | −0.353048 | + | 0.611497i | ||||
\(850\) | −2.58309 | + | 0.506362i | −0.0885991 | + | 0.0173681i | ||||
\(851\) | 43.8341 | − | 25.3076i | 1.50261 | − | 0.867534i | ||||
\(852\) | 2.20705 | + | 5.41305i | 0.0756123 | + | 0.185448i | ||||
\(853\) | 25.3974i | 0.869589i | 0.900530 | + | 0.434795i | \(0.143179\pi\) | ||||
−0.900530 | + | 0.434795i | \(0.856821\pi\) | |||||||
\(854\) | 39.7260 | − | 12.1461i | 1.35940 | − | 0.415632i | ||||
\(855\) | − | 10.2025i | − | 0.348919i | ||||||
\(856\) | 2.23543 | + | 39.0882i | 0.0764055 | + | 1.33601i | ||||
\(857\) | −25.0609 | + | 14.4689i | −0.856065 | + | 0.494249i | −0.862693 | − | 0.505729i | \(-0.831224\pi\) |
0.00662744 | + | 0.999978i | \(0.497890\pi\) | |||||||
\(858\) | 1.03187 | + | 5.26385i | 0.0352276 | + | 0.179705i | ||||
\(859\) | 2.34404 | − | 4.05999i | 0.0799775 | − | 0.138525i | −0.823263 | − | 0.567661i | \(-0.807848\pi\) |
0.903240 | + | 0.429136i | \(0.141182\pi\) | |||||||
\(860\) | −24.3028 | − | 18.8633i | −0.828718 | − | 0.643235i | ||||
\(861\) | 2.33503 | − | 1.69089i | 0.0795777 | − | 0.0576254i | ||||
\(862\) | 14.6195 | − | 42.6782i | 0.497941 | − | 1.45363i | ||||
\(863\) | −37.6419 | − | 21.7325i | −1.28134 | − | 0.739784i | −0.304250 | − | 0.952592i | \(-0.598406\pi\) |
−0.977094 | + | 0.212808i | \(0.931739\pi\) | |||||||
\(864\) | 5.10769 | − | 2.43135i | 0.173767 | − | 0.0827162i | ||||
\(865\) | 5.35158 | + | 9.26921i | 0.181959 | + | 0.315163i | ||||
\(866\) | 9.12993 | + | 10.4691i | 0.310248 | + | 0.355756i | ||||
\(867\) | 13.6394 | 0.463219 | ||||||||
\(868\) | 44.0661 | − | 23.5211i | 1.49570 | − | 0.798359i | ||||
\(869\) | 2.25706 | 0.0765655 | ||||||||
\(870\) | −21.4823 | − | 24.6333i | −0.728317 | − | 0.835149i | ||||
\(871\) | 4.20791 | + | 7.28831i | 0.142580 | + | 0.246955i | ||||
\(872\) | −1.25256 | + | 2.48753i | −0.0424169 | + | 0.0842383i | ||||
\(873\) | −6.15219 | − | 3.55197i | −0.208220 | − | 0.120216i | ||||
\(874\) | −12.8465 | + | 37.5023i | −0.434538 | + | 1.26854i | ||||
\(875\) | −2.66227 | − | 25.7192i | −0.0900013 | − | 0.869467i | ||||
\(876\) | −9.93917 | + | 12.8052i | −0.335813 | + | 0.432649i | ||||
\(877\) | 23.0063 | − | 39.8481i | 0.776868 | − | 1.34558i | −0.156870 | − | 0.987619i | \(-0.550140\pi\) |
0.933738 | − | 0.357956i | \(-0.116526\pi\) | |||||||
\(878\) | 4.63568 | + | 23.6478i | 0.156447 | + | 0.798075i | ||||
\(879\) | 24.5183 | − | 14.1556i | 0.826982 | − | 0.477458i | ||||
\(880\) | 11.9547 | + | 3.34587i | 0.402993 | + | 0.112789i | ||||
\(881\) | 40.8047i | 1.37475i | 0.726304 | + | 0.687373i | \(0.241236\pi\) | ||||
−0.726304 | + | 0.687373i | \(0.758764\pi\) | |||||||
\(882\) | −3.85383 | − | 9.11855i | −0.129765 | − | 0.307038i | ||||
\(883\) | − | 6.06234i | − | 0.204014i | −0.994784 | − | 0.102007i | \(-0.967474\pi\) | ||
0.994784 | − | 0.102007i | \(-0.0325264\pi\) | |||||||
\(884\) | −10.1764 | + | 4.14920i | −0.342269 | + | 0.139553i | ||||
\(885\) | 7.15140 | − | 4.12886i | 0.240392 | − | 0.138790i | ||||
\(886\) | −11.6982 | + | 2.29320i | −0.393009 | + | 0.0770415i | ||||
\(887\) | 22.1276 | − | 38.3262i | 0.742973 | − | 1.28687i | −0.208163 | − | 0.978094i | \(-0.566749\pi\) |
0.951136 | − | 0.308772i | \(-0.0999181\pi\) | |||||||
\(888\) | 11.6560 | + | 17.7626i | 0.391149 | + | 0.596075i | ||||
\(889\) | −1.73892 | − | 16.7991i | −0.0583216 | − | 0.563422i | ||||
\(890\) | −28.1264 | − | 9.63473i | −0.942799 | − | 0.322957i | ||||
\(891\) | 1.09586 | + | 0.632697i | 0.0367128 | + | 0.0211961i | ||||
\(892\) | 3.15568 | − | 22.9836i | 0.105660 | − | 0.769549i | ||||
\(893\) | 15.2908 | + | 26.4844i | 0.511685 | + | 0.886265i | ||||
\(894\) | 0.528777 | − | 0.461136i | 0.0176849 | − | 0.0154227i | ||||
\(895\) | 60.2528 | 2.01403 | ||||||||
\(896\) | −11.9584 | − | 27.4408i | −0.399504 | − | 0.916732i | ||||
\(897\) | 20.1980 | 0.674393 | ||||||||
\(898\) | −10.2754 | + | 8.96100i | −0.342895 | + | 0.299032i | ||||
\(899\) | −44.4766 | − | 77.0358i | −1.48338 | − | 2.56929i | ||||
\(900\) | −0.276219 | + | 2.01177i | −0.00920731 | + | 0.0670591i | ||||
\(901\) | 0.113755 | + | 0.0656762i | 0.00378971 | + | 0.00218799i | ||||
\(902\) | 1.84475 | + | 0.631922i | 0.0614236 | + | 0.0210407i | ||||
\(903\) | −13.4398 | + | 9.73229i | −0.447248 | + | 0.323870i | ||||
\(904\) | 7.80827 | + | 11.8991i | 0.259699 | + | 0.395759i | ||||
\(905\) | 14.3702 | − | 24.8899i | 0.477681 | − | 0.827368i | ||||
\(906\) | −18.3703 | + | 3.60113i | −0.610312 | + | 0.119639i | ||||
\(907\) | −5.54526 | + | 3.20156i | −0.184127 | + | 0.106306i | −0.589230 | − | 0.807965i | \(-0.700569\pi\) |
0.405103 | + | 0.914271i | \(0.367236\pi\) | |||||||
\(908\) | −18.8181 | + | 7.67266i | −0.624500 | + | 0.254626i | ||||
\(909\) | 0.933313i | 0.0309561i | ||||||||
\(910\) | 8.04270 | + | 26.3050i | 0.266613 | + | 0.872004i | ||||
\(911\) | 48.9687i | 1.62241i | 0.584765 | + | 0.811203i | \(0.301187\pi\) | ||||
−0.584765 | + | 0.811203i | \(0.698813\pi\) | |||||||
\(912\) | −16.0237 | − | 4.48468i | −0.530596 | − | 0.148503i | ||||
\(913\) | 5.84781 | − | 3.37623i | 0.193534 | − | 0.111737i | ||||
\(914\) | 7.90190 | + | 40.3097i | 0.261372 | + | 1.33333i | ||||
\(915\) | −13.6150 | + | 23.5818i | −0.450097 | + | 0.779590i | ||||
\(916\) | 28.3240 | − | 36.4915i | 0.935850 | − | 1.20571i | ||||
\(917\) | −4.18150 | + | 9.35216i | −0.138085 | + | 0.308835i | ||||
\(918\) | −0.840146 | + | 2.45262i | −0.0277290 | + | 0.0809484i | ||||
\(919\) | −21.2676 | − | 12.2789i | −0.701554 | − | 0.405042i | 0.106372 | − | 0.994326i | \(-0.466077\pi\) |
−0.807926 | + | 0.589284i | \(0.799410\pi\) | |||||||
\(920\) | 21.0229 | − | 41.7506i | 0.693103 | − | 1.37648i | ||||
\(921\) | 4.32798 | + | 7.49628i | 0.142612 | + | 0.247011i | ||||
\(922\) | 22.2891 | + | 25.5585i | 0.734051 | + | 0.841724i | ||||
\(923\) | −8.76108 | −0.288374 | ||||||||
\(924\) | 3.53914 | − | 5.68408i | 0.116429 | − | 0.186992i | ||||
\(925\) | −7.62654 | −0.250759 | ||||||||
\(926\) | 26.4885 | + | 30.3739i | 0.870466 | + | 0.998149i | ||||
\(927\) | 2.06460 | + | 3.57600i | 0.0678105 | + | 0.117451i | ||||
\(928\) | −48.1310 | + | 22.9112i | −1.57998 | + | 0.752096i | ||||
\(929\) | −8.51680 | − | 4.91718i | −0.279427 | − | 0.161327i | 0.353737 | − | 0.935345i | \(-0.384911\pi\) |
−0.633164 | + | 0.774018i | \(0.718244\pi\) | |||||||
\(930\) | −10.6106 | + | 30.9752i | −0.347934 | + | 1.01572i | ||||
\(931\) | −9.08539 | + | 27.6653i | −0.297762 | + | 0.906695i | ||||
\(932\) | −10.8311 | − | 8.40692i | −0.354786 | − | 0.275378i | ||||
\(933\) | −4.67129 | + | 8.09091i | −0.152931 | + | 0.264884i | ||||
\(934\) | 5.05510 | + | 25.7874i | 0.165408 | + | 0.843790i | ||||
\(935\) | −4.92712 | + | 2.84468i | −0.161134 | + | 0.0930308i | ||||
\(936\) | 0.484063 | + | 8.46422i | 0.0158221 | + | 0.276662i | ||||
\(937\) | − | 38.1447i | − | 1.24613i | −0.782168 | − | 0.623067i | \(-0.785886\pi\) | ||
0.782168 | − | 0.623067i | \(-0.214114\pi\) | |||||||
\(938\) | 2.36303 | − | 10.2361i | 0.0771555 | − | 0.334220i | ||||
\(939\) | 7.37547i | 0.240689i | ||||||||
\(940\) | −13.6150 | − | 33.3923i | −0.444071 | − | 1.08914i | ||||
\(941\) | 29.7788 | − | 17.1928i | 0.970760 | − | 0.560469i | 0.0712922 | − | 0.997455i | \(-0.477288\pi\) |
0.899468 | + | 0.436987i | \(0.143954\pi\) | |||||||
\(942\) | 7.02446 | − | 1.37700i | 0.228869 | − | 0.0448652i | ||||
\(943\) | 3.67129 | − | 6.35886i | 0.119554 | − | 0.207073i | ||||
\(944\) | −3.34111 | − | 13.0466i | −0.108744 | − | 0.424631i | ||||
\(945\) | 5.92385 | + | 2.64865i | 0.192703 | + | 0.0861605i | ||||
\(946\) | −10.6179 | − | 3.63716i | −0.345217 | − | 0.118254i | ||||
\(947\) | 14.2630 | + | 8.23476i | 0.463486 | + | 0.267594i | 0.713509 | − | 0.700646i | \(-0.247105\pi\) |
−0.250023 | + | 0.968240i | \(0.580438\pi\) | |||||||
\(948\) | 3.53420 | + | 0.485251i | 0.114786 | + | 0.0157602i | ||||
\(949\) | −12.1471 | − | 21.0394i | −0.394311 | − | 0.682966i | ||||
\(950\) | 4.50170 | − | 3.92585i | 0.146055 | − | 0.127371i | ||||
\(951\) | −3.63028 | −0.117720 | ||||||||
\(952\) | 12.8228 | + | 4.87529i | 0.415589 | + | 0.158009i | ||||
\(953\) | −52.4540 | −1.69915 | −0.849576 | − | 0.527466i | \(-0.823142\pi\) | ||||
−0.849576 | + | 0.527466i | \(0.823142\pi\) | |||||||
\(954\) | 0.0763704 | − | 0.0666011i | 0.00247258 | − | 0.00215629i | ||||
\(955\) | −19.4883 | − | 33.7548i | −0.630628 | − | 1.09228i | ||||
\(956\) | −44.0383 | − | 6.04652i | −1.42430 | − | 0.195558i | ||||
\(957\) | −10.3266 | − | 5.96205i | −0.333811 | − | 0.192726i | ||||
\(958\) | −37.9178 | − | 12.9888i | −1.22507 | − | 0.419648i | ||||
\(959\) | 22.8158 | + | 31.5074i | 0.736761 | + | 1.01743i | ||||
\(960\) | 17.9999 | + | 7.80929i | 0.580944 | + | 0.252044i | ||||
\(961\) | −29.0547 | + | 50.3243i | −0.937250 | + | 1.62336i | ||||
\(962\) | −31.2465 | + | 6.12524i | −1.00743 | + | 0.197486i | ||||
\(963\) | −11.9878 | + | 6.92118i | −0.386303 | + | 0.223032i | ||||
\(964\) | −11.6492 | − | 28.5711i | −0.375196 | − | 0.920213i | ||||
\(965\) | − | 48.3995i | − | 1.55803i | ||||||
\(966\) | −18.4398 | − | 17.1949i | −0.593290 | − | 0.553235i | ||||
\(967\) | 16.3573i | 0.526016i | 0.964794 | + | 0.263008i | \(0.0847146\pi\) | ||||
−0.964794 | + | 0.263008i | \(0.915285\pi\) | |||||||
\(968\) | −26.5404 | + | 1.51783i | −0.853040 | + | 0.0487848i | ||||
\(969\) | 6.60414 | − | 3.81290i | 0.212155 | − | 0.122488i | ||||
\(970\) | −4.74000 | − | 24.1800i | −0.152192 | − | 0.776372i | ||||
\(971\) | −11.6591 | + | 20.1942i | −0.374159 | + | 0.648063i | −0.990201 | − | 0.139651i | \(-0.955402\pi\) |
0.616042 | + | 0.787714i | \(0.288735\pi\) | |||||||
\(972\) | 1.57993 | + | 1.22631i | 0.0506762 | + | 0.0393338i | ||||
\(973\) | 5.30693 | − | 0.549337i | 0.170132 | − | 0.0176109i | ||||
\(974\) | 19.0245 | − | 55.5377i | 0.609585 | − | 1.77954i | ||||
\(975\) | −2.63564 | − | 1.52169i | −0.0844081 | − | 0.0487331i | ||||
\(976\) | 31.0519 | + | 31.7489i | 0.993948 | + | 1.01626i | ||||
\(977\) | −19.9922 | − | 34.6275i | −0.639608 | − | 1.10783i | −0.985519 | − | 0.169566i | \(-0.945763\pi\) |
0.345911 | − | 0.938267i | \(-0.387570\pi\) | |||||||
\(978\) | 11.1872 | + | 12.8282i | 0.357728 | + | 0.410201i | ||||
\(979\) | −10.8465 | −0.346655 | ||||||||
\(980\) | 15.0512 | − | 30.8620i | 0.480795 | − | 0.985851i | ||||
\(981\) | −0.984676 | −0.0314383 | ||||||||
\(982\) | 1.60551 | + | 1.84101i | 0.0512338 | + | 0.0587490i | ||||
\(983\) | 10.7628 | + | 18.6417i | 0.343279 | + | 0.594577i | 0.985040 | − | 0.172328i | \(-0.0551290\pi\) |
−0.641761 | + | 0.766905i | \(0.721796\pi\) | |||||||
\(984\) | 2.75274 | + | 1.38610i | 0.0877541 | + | 0.0441873i | ||||
\(985\) | 2.12143 | + | 1.22481i | 0.0675943 | + | 0.0390256i | ||||
\(986\) | 7.91689 | − | 23.1116i | 0.252125 | − | 0.736022i | ||||
\(987\) | −19.3471 | + | 2.00268i | −0.615824 | + | 0.0637459i | ||||
\(988\) | 15.2908 | − | 19.7000i | 0.486464 | − | 0.626741i | ||||
\(989\) | −21.1309 | + | 36.5998i | −0.671923 | + | 1.16381i | ||||
\(990\) | 0.844315 | + | 4.30707i | 0.0268341 | + | 0.136888i | ||||
\(991\) | 9.69666 | − | 5.59837i | 0.308025 | − | 0.177838i | −0.338018 | − | 0.941140i | \(-0.609756\pi\) |
0.646042 | + | 0.763302i | \(0.276423\pi\) | |||||||
\(992\) | 43.9843 | + | 30.2802i | 1.39650 | + | 0.961396i | ||||
\(993\) | 0.628347i | 0.0199400i | ||||||||
\(994\) | 7.99841 | + | 7.45841i | 0.253694 | + | 0.236567i | ||||
\(995\) | − | 6.62982i | − | 0.210179i | ||||||
\(996\) | 9.88263 | − | 4.02942i | 0.313143 | − | 0.127677i | ||||
\(997\) | −49.1699 | + | 28.3883i | −1.55723 | + | 0.899066i | −0.559707 | + | 0.828690i | \(0.689086\pi\) |
−0.997521 | + | 0.0703755i | \(0.977580\pi\) | |||||||
\(998\) | 58.6859 | − | 11.5042i | 1.85767 | − | 0.364159i | ||||
\(999\) | −3.75572 | + | 6.50509i | −0.118826 | + | 0.205812i |
(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 | 84.2.o.a.19.1 | ✓ | 8 | |
3.2 | odd | 2 | 252.2.bf.g.19.4 | 8 | |||
4.3 | odd | 2 | 84.2.o.b.19.2 | yes | 8 | ||
7.2 | even | 3 | 588.2.b.b.391.8 | 8 | |||
7.3 | odd | 6 | 84.2.o.b.31.2 | yes | 8 | ||
7.4 | even | 3 | 588.2.o.b.31.2 | 8 | |||
7.5 | odd | 6 | 588.2.b.a.391.8 | 8 | |||
7.6 | odd | 2 | 588.2.o.d.19.1 | 8 | |||
8.3 | odd | 2 | 1344.2.bl.i.1279.1 | 8 | |||
8.5 | even | 2 | 1344.2.bl.j.1279.1 | 8 | |||
12.11 | even | 2 | 252.2.bf.f.19.3 | 8 | |||
21.2 | odd | 6 | 1764.2.b.i.1567.1 | 8 | |||
21.5 | even | 6 | 1764.2.b.j.1567.1 | 8 | |||
21.17 | even | 6 | 252.2.bf.f.199.3 | 8 | |||
28.3 | even | 6 | inner | 84.2.o.a.31.1 | yes | 8 | |
28.11 | odd | 6 | 588.2.o.d.31.1 | 8 | |||
28.19 | even | 6 | 588.2.b.b.391.7 | 8 | |||
28.23 | odd | 6 | 588.2.b.a.391.7 | 8 | |||
28.27 | even | 2 | 588.2.o.b.19.2 | 8 | |||
56.3 | even | 6 | 1344.2.bl.j.703.1 | 8 | |||
56.45 | odd | 6 | 1344.2.bl.i.703.1 | 8 | |||
84.23 | even | 6 | 1764.2.b.j.1567.2 | 8 | |||
84.47 | odd | 6 | 1764.2.b.i.1567.2 | 8 | |||
84.59 | odd | 6 | 252.2.bf.g.199.4 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
84.2.o.a.19.1 | ✓ | 8 | 1.1 | even | 1 | trivial | |
84.2.o.a.31.1 | yes | 8 | 28.3 | even | 6 | inner | |
84.2.o.b.19.2 | yes | 8 | 4.3 | odd | 2 | ||
84.2.o.b.31.2 | yes | 8 | 7.3 | odd | 6 | ||
252.2.bf.f.19.3 | 8 | 12.11 | even | 2 | |||
252.2.bf.f.199.3 | 8 | 21.17 | even | 6 | |||
252.2.bf.g.19.4 | 8 | 3.2 | odd | 2 | |||
252.2.bf.g.199.4 | 8 | 84.59 | odd | 6 | |||
588.2.b.a.391.7 | 8 | 28.23 | odd | 6 | |||
588.2.b.a.391.8 | 8 | 7.5 | odd | 6 | |||
588.2.b.b.391.7 | 8 | 28.19 | even | 6 | |||
588.2.b.b.391.8 | 8 | 7.2 | even | 3 | |||
588.2.o.b.19.2 | 8 | 28.27 | even | 2 | |||
588.2.o.b.31.2 | 8 | 7.4 | even | 3 | |||
588.2.o.d.19.1 | 8 | 7.6 | odd | 2 | |||
588.2.o.d.31.1 | 8 | 28.11 | odd | 6 | |||
1344.2.bl.i.703.1 | 8 | 56.45 | odd | 6 | |||
1344.2.bl.i.1279.1 | 8 | 8.3 | odd | 2 | |||
1344.2.bl.j.703.1 | 8 | 56.3 | even | 6 | |||
1344.2.bl.j.1279.1 | 8 | 8.5 | even | 2 | |||
1764.2.b.i.1567.1 | 8 | 21.2 | odd | 6 | |||
1764.2.b.i.1567.2 | 8 | 84.47 | odd | 6 | |||
1764.2.b.j.1567.1 | 8 | 21.5 | even | 6 | |||
1764.2.b.j.1567.2 | 8 | 84.23 | even | 6 |