Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(22,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([14, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.v (of order \(9\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 43.7 | ||
Character | \(\chi\) | \(=\) | 189.43 |
Dual form | 189.2.v.b.22.7 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.19955 | + | 1.00654i | 0.848212 | + | 0.711734i | 0.959395 | − | 0.282066i | \(-0.0910197\pi\) |
−0.111183 | + | 0.993800i | \(0.535464\pi\) | |||||||
\(3\) | 1.37519 | + | 1.05302i | 0.793967 | + | 0.607960i | ||||
\(4\) | 0.0784988 | + | 0.445189i | 0.0392494 | + | 0.222594i | ||||
\(5\) | −0.920293 | − | 0.334959i | −0.411568 | − | 0.149798i | 0.127935 | − | 0.991783i | \(-0.459165\pi\) |
−0.539502 | + | 0.841984i | \(0.681387\pi\) | |||||||
\(6\) | 0.589706 | + | 2.64734i | 0.240746 | + | 1.08077i | ||||
\(7\) | −0.173648 | + | 0.984808i | −0.0656328 | + | 0.372222i | ||||
\(8\) | 1.21197 | − | 2.09919i | 0.428495 | − | 0.742174i | ||||
\(9\) | 0.782305 | + | 2.89620i | 0.260768 | + | 0.965401i | ||||
\(10\) | −0.766788 | − | 1.32812i | −0.242480 | − | 0.419987i | ||||
\(11\) | −0.683043 | + | 0.248607i | −0.205945 | + | 0.0749579i | −0.442933 | − | 0.896555i | \(-0.646062\pi\) |
0.236988 | + | 0.971513i | \(0.423840\pi\) | |||||||
\(12\) | −0.360841 | + | 0.694880i | −0.104166 | + | 0.200595i | ||||
\(13\) | −1.50165 | + | 1.26003i | −0.416483 | + | 0.349471i | −0.826823 | − | 0.562462i | \(-0.809854\pi\) |
0.410340 | + | 0.911932i | \(0.365410\pi\) | |||||||
\(14\) | −1.19955 | + | 1.00654i | −0.320594 | + | 0.269010i | ||||
\(15\) | −0.912861 | − | 1.42972i | −0.235700 | − | 0.369152i | ||||
\(16\) | 4.41633 | − | 1.60741i | 1.10408 | − | 0.401853i | ||||
\(17\) | −3.15448 | − | 5.46372i | −0.765074 | − | 1.32515i | −0.940207 | − | 0.340602i | \(-0.889369\pi\) |
0.175133 | − | 0.984545i | \(-0.443964\pi\) | |||||||
\(18\) | −1.97674 | + | 4.26157i | −0.465922 | + | 1.00446i | ||||
\(19\) | −0.224384 | + | 0.388644i | −0.0514772 | + | 0.0891611i | −0.890616 | − | 0.454757i | \(-0.849726\pi\) |
0.839139 | + | 0.543918i | \(0.183060\pi\) | |||||||
\(20\) | 0.0768782 | − | 0.435998i | 0.0171905 | − | 0.0974921i | ||||
\(21\) | −1.27582 | + | 1.17144i | −0.278407 | + | 0.255630i | ||||
\(22\) | −1.06958 | − | 0.389295i | −0.228035 | − | 0.0829980i | ||||
\(23\) | −1.39262 | − | 7.89794i | −0.290381 | − | 1.64683i | −0.685404 | − | 0.728163i | \(-0.740375\pi\) |
0.395023 | − | 0.918671i | \(-0.370737\pi\) | |||||||
\(24\) | 3.87717 | − | 1.61056i | 0.791423 | − | 0.328755i | ||||
\(25\) | −3.09548 | − | 2.59742i | −0.619096 | − | 0.519483i | ||||
\(26\) | −3.06959 | −0.601996 | ||||||||
\(27\) | −1.97394 | + | 4.80662i | −0.379884 | + | 0.925034i | ||||
\(28\) | −0.452056 | −0.0854306 | ||||||||
\(29\) | 3.48127 | + | 2.92113i | 0.646456 | + | 0.542441i | 0.905993 | − | 0.423292i | \(-0.139126\pi\) |
−0.259538 | + | 0.965733i | \(0.583570\pi\) | |||||||
\(30\) | 0.344050 | − | 2.63386i | 0.0628146 | − | 0.480874i | ||||
\(31\) | 0.814166 | + | 4.61737i | 0.146229 | + | 0.829304i | 0.966372 | + | 0.257146i | \(0.0827822\pi\) |
−0.820144 | + | 0.572157i | \(0.806107\pi\) | |||||||
\(32\) | 2.36005 | + | 0.858986i | 0.417201 | + | 0.151849i | ||||
\(33\) | −1.20110 | − | 0.377374i | −0.209085 | − | 0.0656924i | ||||
\(34\) | 1.71551 | − | 9.72914i | 0.294208 | − | 1.66853i | ||||
\(35\) | 0.489678 | − | 0.848147i | 0.0827706 | − | 0.143363i | ||||
\(36\) | −1.22795 | + | 0.575622i | −0.204658 | + | 0.0959370i | ||||
\(37\) | 3.63874 | + | 6.30248i | 0.598205 | + | 1.03612i | 0.993086 | + | 0.117390i | \(0.0374526\pi\) |
−0.394881 | + | 0.918732i | \(0.629214\pi\) | |||||||
\(38\) | −0.660347 | + | 0.240347i | −0.107122 | + | 0.0389894i | ||||
\(39\) | −3.39190 | + | 0.151524i | −0.543138 | + | 0.0242632i | ||||
\(40\) | −1.81851 | + | 1.52591i | −0.287531 | + | 0.241267i | ||||
\(41\) | −1.96285 | + | 1.64702i | −0.306545 | + | 0.257222i | −0.783062 | − | 0.621943i | \(-0.786343\pi\) |
0.476517 | + | 0.879165i | \(0.341899\pi\) | |||||||
\(42\) | −2.70952 | + | 0.121041i | −0.418089 | + | 0.0186770i | ||||
\(43\) | 10.0140 | − | 3.64478i | 1.52711 | − | 0.555824i | 0.564202 | − | 0.825637i | \(-0.309184\pi\) |
0.962913 | + | 0.269813i | \(0.0869619\pi\) | |||||||
\(44\) | −0.164295 | − | 0.284568i | −0.0247684 | − | 0.0429002i | ||||
\(45\) | 0.250160 | − | 2.92740i | 0.0372917 | − | 0.436391i | ||||
\(46\) | 6.27910 | − | 10.8757i | 0.925803 | − | 1.60354i | ||||
\(47\) | −0.999232 | + | 5.66693i | −0.145753 | + | 0.826606i | 0.821006 | + | 0.570919i | \(0.193413\pi\) |
−0.966759 | + | 0.255688i | \(0.917698\pi\) | |||||||
\(48\) | 7.76593 | + | 2.43997i | 1.12092 | + | 0.352180i | ||||
\(49\) | −0.939693 | − | 0.342020i | −0.134242 | − | 0.0488600i | ||||
\(50\) | −1.09878 | − | 6.23147i | −0.155391 | − | 0.881264i | ||||
\(51\) | 1.41538 | − | 10.8354i | 0.198193 | − | 1.51726i | ||||
\(52\) | −0.678831 | − | 0.569606i | −0.0941369 | − | 0.0789902i | ||||
\(53\) | −4.39180 | −0.603259 | −0.301630 | − | 0.953425i | \(-0.597531\pi\) | ||||
−0.301630 | + | 0.953425i | \(0.597531\pi\) | |||||||
\(54\) | −7.20591 | + | 3.77894i | −0.980600 | + | 0.514248i | ||||
\(55\) | 0.711873 | 0.0959889 | ||||||||
\(56\) | 1.85684 | + | 1.55807i | 0.248131 | + | 0.208206i | ||||
\(57\) | −0.717820 | + | 0.298180i | −0.0950776 | + | 0.0394949i | ||||
\(58\) | 1.23572 | + | 7.00810i | 0.162258 | + | 0.920209i | ||||
\(59\) | −9.60177 | − | 3.49476i | −1.25004 | − | 0.454979i | −0.369628 | − | 0.929180i | \(-0.620515\pi\) |
−0.880417 | + | 0.474201i | \(0.842737\pi\) | |||||||
\(60\) | 0.564836 | − | 0.518627i | 0.0729200 | − | 0.0669544i | ||||
\(61\) | −1.64939 | + | 9.35413i | −0.211182 | + | 1.19767i | 0.676228 | + | 0.736693i | \(0.263614\pi\) |
−0.887410 | + | 0.460981i | \(0.847498\pi\) | |||||||
\(62\) | −3.67095 | + | 6.35827i | −0.466211 | + | 0.807501i | ||||
\(63\) | −2.98805 | + | 0.267500i | −0.376459 | + | 0.0337018i | ||||
\(64\) | −2.73337 | − | 4.73433i | −0.341671 | − | 0.591791i | ||||
\(65\) | 1.80402 | − | 0.656609i | 0.223761 | − | 0.0814423i | ||||
\(66\) | −1.06094 | − | 1.66164i | −0.130593 | − | 0.204534i | ||||
\(67\) | 2.45045 | − | 2.05617i | 0.299371 | − | 0.251202i | −0.480712 | − | 0.876879i | \(-0.659622\pi\) |
0.780082 | + | 0.625677i | \(0.215177\pi\) | |||||||
\(68\) | 2.18476 | − | 1.83323i | 0.264942 | − | 0.222312i | ||||
\(69\) | 6.40155 | − | 12.3276i | 0.770656 | − | 1.48407i | ||||
\(70\) | 1.44109 | − | 0.524514i | 0.172243 | − | 0.0626914i | ||||
\(71\) | 2.44909 | + | 4.24194i | 0.290653 | + | 0.503426i | 0.973964 | − | 0.226701i | \(-0.0727941\pi\) |
−0.683311 | + | 0.730127i | \(0.739461\pi\) | |||||||
\(72\) | 7.02780 | + | 1.86790i | 0.828234 | + | 0.220134i | ||||
\(73\) | −3.33581 | + | 5.77779i | −0.390427 | + | 0.676239i | −0.992506 | − | 0.122197i | \(-0.961006\pi\) |
0.602079 | + | 0.798437i | \(0.294339\pi\) | |||||||
\(74\) | −1.97887 | + | 11.2227i | −0.230039 | + | 1.30461i | ||||
\(75\) | −1.52175 | − | 6.83154i | −0.175717 | − | 0.788839i | ||||
\(76\) | −0.190634 | − | 0.0693850i | −0.0218672 | − | 0.00795901i | ||||
\(77\) | −0.126221 | − | 0.715836i | −0.0143842 | − | 0.0815771i | ||||
\(78\) | −4.22127 | − | 3.23233i | −0.477965 | − | 0.365989i | ||||
\(79\) | −1.06077 | − | 0.890095i | −0.119346 | − | 0.100144i | 0.581161 | − | 0.813788i | \(-0.302599\pi\) |
−0.700508 | + | 0.713645i | \(0.747043\pi\) | |||||||
\(80\) | −4.60273 | −0.514601 | ||||||||
\(81\) | −7.77600 | + | 4.53143i | −0.864000 | + | 0.503492i | ||||
\(82\) | −4.01234 | −0.443088 | ||||||||
\(83\) | 1.93032 | + | 1.61973i | 0.211880 | + | 0.177788i | 0.742551 | − | 0.669790i | \(-0.233616\pi\) |
−0.530671 | + | 0.847578i | \(0.678060\pi\) | |||||||
\(84\) | −0.621664 | − | 0.476024i | −0.0678291 | − | 0.0519384i | ||||
\(85\) | 1.07292 | + | 6.08485i | 0.116375 | + | 0.659994i | ||||
\(86\) | 15.6809 | + | 5.70738i | 1.69091 | + | 0.615443i | ||||
\(87\) | 1.71141 | + | 7.68296i | 0.183482 | + | 0.823699i | ||||
\(88\) | −0.305952 | + | 1.73514i | −0.0326146 | + | 0.184966i | ||||
\(89\) | 2.65177 | − | 4.59300i | 0.281087 | − | 0.486857i | −0.690566 | − | 0.723270i | \(-0.742638\pi\) |
0.971653 | + | 0.236413i | \(0.0759717\pi\) | |||||||
\(90\) | 3.24663 | − | 3.25977i | 0.342225 | − | 0.343610i | ||||
\(91\) | −0.980133 | − | 1.69764i | −0.102746 | − | 0.177961i | ||||
\(92\) | 3.40675 | − | 1.23996i | 0.355179 | − | 0.129274i | ||||
\(93\) | −3.74254 | + | 7.20710i | −0.388083 | + | 0.747341i | ||||
\(94\) | −6.90264 | + | 5.79201i | −0.711953 | + | 0.597400i | ||||
\(95\) | 0.336679 | − | 0.282507i | 0.0345425 | − | 0.0289846i | ||||
\(96\) | 2.34099 | + | 3.66644i | 0.238926 | + | 0.374205i | ||||
\(97\) | 11.9846 | − | 4.36204i | 1.21685 | − | 0.442898i | 0.347777 | − | 0.937577i | \(-0.386937\pi\) |
0.869076 | + | 0.494679i | \(0.164714\pi\) | |||||||
\(98\) | −0.782952 | − | 1.35611i | −0.0790901 | − | 0.136988i | ||||
\(99\) | −1.25437 | − | 1.78375i | −0.126069 | − | 0.179273i | ||||
\(100\) | 0.913349 | − | 1.58197i | 0.0913349 | − | 0.158197i | ||||
\(101\) | −0.733004 | + | 4.15707i | −0.0729366 | + | 0.413644i | 0.926377 | + | 0.376598i | \(0.122906\pi\) |
−0.999314 | + | 0.0370463i | \(0.988205\pi\) | |||||||
\(102\) | 12.6041 | − | 11.5730i | 1.24799 | − | 1.14590i | ||||
\(103\) | 1.62325 | + | 0.590816i | 0.159944 | + | 0.0582149i | 0.420751 | − | 0.907176i | \(-0.361766\pi\) |
−0.260807 | + | 0.965391i | \(0.583989\pi\) | |||||||
\(104\) | 0.825098 | + | 4.67936i | 0.0809075 | + | 0.458849i | ||||
\(105\) | 1.56651 | − | 0.650725i | 0.152876 | − | 0.0635042i | ||||
\(106\) | −5.26819 | − | 4.42053i | −0.511692 | − | 0.429360i | ||||
\(107\) | −3.15073 | −0.304593 | −0.152296 | − | 0.988335i | \(-0.548667\pi\) | ||||
−0.152296 | + | 0.988335i | \(0.548667\pi\) | |||||||
\(108\) | −2.29480 | − | 0.501460i | −0.220818 | − | 0.0482530i | ||||
\(109\) | −9.32530 | −0.893201 | −0.446601 | − | 0.894733i | \(-0.647366\pi\) | ||||
−0.446601 | + | 0.894733i | \(0.647366\pi\) | |||||||
\(110\) | 0.853929 | + | 0.716531i | 0.0814189 | + | 0.0683186i | ||||
\(111\) | −1.63266 | + | 12.4988i | −0.154966 | + | 1.18633i | ||||
\(112\) | 0.816104 | + | 4.62836i | 0.0771146 | + | 0.437339i | ||||
\(113\) | 18.4097 | + | 6.70057i | 1.73184 | + | 0.630336i | 0.998759 | − | 0.0498097i | \(-0.0158615\pi\) |
0.733076 | + | 0.680146i | \(0.238084\pi\) | |||||||
\(114\) | −1.16119 | − | 0.364835i | −0.108756 | − | 0.0341699i | ||||
\(115\) | −1.36387 | + | 7.73489i | −0.127181 | + | 0.721282i | ||||
\(116\) | −1.02718 | + | 1.77913i | −0.0953712 | + | 0.165188i | ||||
\(117\) | −4.82406 | − | 3.36335i | −0.445985 | − | 0.310942i | ||||
\(118\) | −8.00020 | − | 13.8568i | −0.736478 | − | 1.27562i | ||||
\(119\) | 5.92848 | − | 2.15779i | 0.543463 | − | 0.197804i | ||||
\(120\) | −4.10760 | + | 0.183496i | −0.374971 | + | 0.0167508i | ||||
\(121\) | −8.02175 | + | 6.73104i | −0.729250 | + | 0.611913i | ||||
\(122\) | −11.3939 | + | 9.56059i | −1.03155 | + | 0.865575i | ||||
\(123\) | −4.43363 | + | 0.198061i | −0.399767 | + | 0.0178585i | ||||
\(124\) | −1.99169 | + | 0.724915i | −0.178859 | + | 0.0650993i | ||||
\(125\) | 4.42711 | + | 7.66798i | 0.395973 | + | 0.685845i | ||||
\(126\) | −3.85357 | − | 2.68672i | −0.343304 | − | 0.239352i | ||||
\(127\) | −6.39846 | + | 11.0825i | −0.567771 | + | 0.983409i | 0.429015 | + | 0.903298i | \(0.358861\pi\) |
−0.996786 | + | 0.0801111i | \(0.974472\pi\) | |||||||
\(128\) | 2.35873 | − | 13.3770i | 0.208484 | − | 1.18237i | ||||
\(129\) | 17.6091 | + | 5.53260i | 1.55040 | + | 0.487119i | ||||
\(130\) | 2.82492 | + | 1.02819i | 0.247762 | + | 0.0901779i | ||||
\(131\) | −3.06855 | − | 17.4026i | −0.268101 | − | 1.52047i | −0.760058 | − | 0.649855i | \(-0.774829\pi\) |
0.491957 | − | 0.870619i | \(-0.336282\pi\) | |||||||
\(132\) | 0.0737175 | − | 0.564341i | 0.00641628 | − | 0.0491196i | ||||
\(133\) | −0.343776 | − | 0.288462i | −0.0298091 | − | 0.0250128i | ||||
\(134\) | 5.00908 | 0.432718 | ||||||||
\(135\) | 3.42662 | − | 3.76231i | 0.294917 | − | 0.323808i | ||||
\(136\) | −15.2925 | −1.31132 | ||||||||
\(137\) | 9.71112 | + | 8.14860i | 0.829677 | + | 0.696182i | 0.955217 | − | 0.295907i | \(-0.0956218\pi\) |
−0.125540 | + | 0.992089i | \(0.540066\pi\) | |||||||
\(138\) | 20.0873 | − | 8.34420i | 1.70994 | − | 0.710305i | ||||
\(139\) | −3.34532 | − | 18.9722i | −0.283746 | − | 1.60920i | −0.709730 | − | 0.704474i | \(-0.751183\pi\) |
0.425984 | − | 0.904731i | \(-0.359928\pi\) | |||||||
\(140\) | 0.416024 | + | 0.151420i | 0.0351605 | + | 0.0127974i | ||||
\(141\) | −7.34151 | + | 6.74090i | −0.618267 | + | 0.567686i | ||||
\(142\) | −1.33189 | + | 7.55355i | −0.111770 | + | 0.633880i | ||||
\(143\) | 0.712438 | − | 1.23398i | 0.0595771 | − | 0.103190i | ||||
\(144\) | 8.11031 | + | 11.5331i | 0.675859 | + | 0.961092i | ||||
\(145\) | −2.22533 | − | 3.85438i | −0.184803 | − | 0.320089i | ||||
\(146\) | −9.81708 | + | 3.57312i | −0.812467 | + | 0.295714i | ||||
\(147\) | −0.932104 | − | 1.45986i | −0.0768787 | − | 0.120407i | ||||
\(148\) | −2.52016 | + | 2.11466i | −0.207156 | + | 0.173824i | ||||
\(149\) | 13.9234 | − | 11.6831i | 1.14065 | − | 0.957118i | 0.141189 | − | 0.989983i | \(-0.454908\pi\) |
0.999460 | + | 0.0328650i | \(0.0104631\pi\) | |||||||
\(150\) | 5.05083 | − | 9.72651i | 0.412398 | − | 0.794166i | ||||
\(151\) | −9.95524 | + | 3.62341i | −0.810146 | + | 0.294869i | −0.713684 | − | 0.700468i | \(-0.752975\pi\) |
−0.0964618 | + | 0.995337i | \(0.530753\pi\) | |||||||
\(152\) | 0.543891 | + | 0.942047i | 0.0441154 | + | 0.0764101i | ||||
\(153\) | 13.3563 | − | 13.4103i | 1.07979 | − | 1.08416i | ||||
\(154\) | 0.569112 | − | 0.985730i | 0.0458603 | − | 0.0794324i | ||||
\(155\) | 0.797358 | − | 4.52204i | 0.0640454 | − | 0.363219i | ||||
\(156\) | −0.333716 | − | 1.49814i | −0.0267187 | − | 0.119947i | ||||
\(157\) | 15.3293 | + | 5.57941i | 1.22341 | + | 0.445286i | 0.871336 | − | 0.490686i | \(-0.163254\pi\) |
0.352075 | + | 0.935972i | \(0.385476\pi\) | |||||||
\(158\) | −0.376534 | − | 2.13543i | −0.0299555 | − | 0.169886i | ||||
\(159\) | −6.03956 | − | 4.62464i | −0.478968 | − | 0.366758i | ||||
\(160\) | −1.88421 | − | 1.58104i | −0.148960 | − | 0.124992i | ||||
\(161\) | 8.01978 | 0.632047 | ||||||||
\(162\) | −13.8888 | − | 2.39119i | −1.09121 | − | 0.187870i | ||||
\(163\) | 7.41833 | 0.581048 | 0.290524 | − | 0.956868i | \(-0.406170\pi\) | ||||
0.290524 | + | 0.956868i | \(0.406170\pi\) | |||||||
\(164\) | −0.887317 | − | 0.744547i | −0.0692878 | − | 0.0581394i | ||||
\(165\) | 0.978962 | + | 0.749615i | 0.0762121 | + | 0.0583575i | ||||
\(166\) | 0.685188 | + | 3.88589i | 0.0531809 | + | 0.301604i | ||||
\(167\) | −4.90671 | − | 1.78590i | −0.379693 | − | 0.138197i | 0.145121 | − | 0.989414i | \(-0.453643\pi\) |
−0.524814 | + | 0.851217i | \(0.675865\pi\) | |||||||
\(168\) | 0.912831 | + | 4.09794i | 0.0704264 | + | 0.316163i | ||||
\(169\) | −1.59016 | + | 9.01824i | −0.122320 | + | 0.693711i | ||||
\(170\) | −4.83764 | + | 8.37904i | −0.371030 | + | 0.642643i | ||||
\(171\) | −1.30113 | − | 0.345823i | −0.0994998 | − | 0.0264457i | ||||
\(172\) | 2.40870 | + | 4.17199i | 0.183662 | + | 0.318111i | ||||
\(173\) | 7.36333 | − | 2.68003i | 0.559823 | − | 0.203759i | −0.0465824 | − | 0.998914i | \(-0.514833\pi\) |
0.606406 | + | 0.795155i | \(0.292611\pi\) | |||||||
\(174\) | −5.68031 | + | 10.9387i | −0.430623 | + | 0.829262i | ||||
\(175\) | 3.09548 | − | 2.59742i | 0.233996 | − | 0.196346i | ||||
\(176\) | −2.61693 | + | 2.19586i | −0.197258 | + | 0.165519i | ||||
\(177\) | −9.52423 | − | 14.9168i | −0.715885 | − | 1.12122i | ||||
\(178\) | 7.80399 | − | 2.84042i | 0.584934 | − | 0.212898i | ||||
\(179\) | −7.47731 | − | 12.9511i | −0.558880 | − | 0.968009i | −0.997590 | − | 0.0693801i | \(-0.977898\pi\) |
0.438710 | − | 0.898629i | \(-0.355435\pi\) | |||||||
\(180\) | 1.32288 | − | 0.118429i | 0.0986017 | − | 0.00882715i | ||||
\(181\) | −1.42758 | + | 2.47263i | −0.106111 | + | 0.183789i | −0.914192 | − | 0.405282i | \(-0.867173\pi\) |
0.808081 | + | 0.589072i | \(0.200506\pi\) | |||||||
\(182\) | 0.533028 | − | 3.02295i | 0.0395107 | − | 0.224076i | ||||
\(183\) | −12.1183 | + | 11.1269i | −0.895810 | + | 0.822524i | ||||
\(184\) | −18.2671 | − | 6.64866i | −1.34666 | − | 0.490146i | ||||
\(185\) | −1.23763 | − | 7.01896i | −0.0909926 | − | 0.516044i | ||||
\(186\) | −11.7436 | + | 4.87826i | −0.861085 | + | 0.357692i | ||||
\(187\) | 3.51297 | + | 2.94773i | 0.256894 | + | 0.215559i | ||||
\(188\) | −2.60129 | −0.189719 | ||||||||
\(189\) | −4.39082 | − | 2.77861i | −0.319385 | − | 0.202114i | ||||
\(190\) | 0.688219 | 0.0499287 | ||||||||
\(191\) | −14.0195 | − | 11.7637i | −1.01441 | − | 0.851195i | −0.0254991 | − | 0.999675i | \(-0.508118\pi\) |
−0.988915 | + | 0.148480i | \(0.952562\pi\) | |||||||
\(192\) | 1.22643 | − | 9.38890i | 0.0885101 | − | 0.677585i | ||||
\(193\) | −4.49211 | − | 25.4760i | −0.323349 | − | 1.83380i | −0.521032 | − | 0.853537i | \(-0.674453\pi\) |
0.197683 | − | 0.980266i | \(-0.436658\pi\) | |||||||
\(194\) | 18.7668 | + | 6.83054i | 1.34737 | + | 0.490404i | ||||
\(195\) | 3.17229 | + | 0.996701i | 0.227173 | + | 0.0713752i | ||||
\(196\) | 0.0784988 | − | 0.445189i | 0.00560706 | − | 0.0317992i | ||||
\(197\) | −5.21066 | + | 9.02513i | −0.371244 | + | 0.643014i | −0.989757 | − | 0.142761i | \(-0.954402\pi\) |
0.618513 | + | 0.785774i | \(0.287735\pi\) | |||||||
\(198\) | 0.290740 | − | 3.40227i | 0.0206620 | − | 0.241789i | ||||
\(199\) | −10.2155 | − | 17.6938i | −0.724159 | − | 1.25428i | −0.959319 | − | 0.282324i | \(-0.908895\pi\) |
0.235160 | − | 0.971957i | \(-0.424439\pi\) | |||||||
\(200\) | −9.20408 | + | 3.35001i | −0.650827 | + | 0.236882i | ||||
\(201\) | 5.53503 | − | 0.247263i | 0.390411 | − | 0.0174406i | ||||
\(202\) | −5.06355 | + | 4.24882i | −0.356270 | + | 0.298946i | ||||
\(203\) | −3.48127 | + | 2.92113i | −0.244337 | + | 0.205023i | ||||
\(204\) | 4.93490 | − | 0.220453i | 0.345512 | − | 0.0154348i | ||||
\(205\) | 2.35808 | − | 0.858270i | 0.164695 | − | 0.0599442i | ||||
\(206\) | 1.35250 | + | 2.34259i | 0.0942329 | + | 0.163216i | ||||
\(207\) | 21.7846 | − | 10.2119i | 1.51413 | − | 0.709777i | ||||
\(208\) | −4.60639 | + | 7.97849i | −0.319395 | + | 0.553209i | ||||
\(209\) | 0.0566440 | − | 0.321244i | 0.00391815 | − | 0.0222209i | ||||
\(210\) | 2.53410 | + | 0.796187i | 0.174869 | + | 0.0549421i | ||||
\(211\) | −0.534024 | − | 0.194369i | −0.0367637 | − | 0.0133809i | 0.323573 | − | 0.946203i | \(-0.395116\pi\) |
−0.360337 | + | 0.932822i | \(0.617338\pi\) | |||||||
\(212\) | −0.344751 | − | 1.95518i | −0.0236776 | − | 0.134282i | ||||
\(213\) | −1.09888 | + | 8.41242i | −0.0752939 | + | 0.576410i | ||||
\(214\) | −3.77947 | − | 3.17135i | −0.258359 | − | 0.216789i | ||||
\(215\) | −10.4366 | −0.711772 | ||||||||
\(216\) | 7.69764 | + | 9.96912i | 0.523758 | + | 0.678312i | ||||
\(217\) | −4.68860 | −0.318283 | ||||||||
\(218\) | −11.1862 | − | 9.38632i | −0.757624 | − | 0.635722i | ||||
\(219\) | −10.6715 | + | 4.43290i | −0.721113 | + | 0.299548i | ||||
\(220\) | 0.0558812 | + | 0.316918i | 0.00376751 | + | 0.0213666i | ||||
\(221\) | 11.6214 | + | 4.22984i | 0.781740 | + | 0.284530i | ||||
\(222\) | −14.5390 | + | 13.3496i | −0.975797 | + | 0.895967i | ||||
\(223\) | 2.14869 | − | 12.1858i | 0.143887 | − | 0.816022i | −0.824368 | − | 0.566055i | \(-0.808469\pi\) |
0.968254 | − | 0.249967i | \(-0.0804199\pi\) | |||||||
\(224\) | −1.25575 | + | 2.17503i | −0.0839036 | + | 0.145325i | ||||
\(225\) | 5.10104 | − | 10.9971i | 0.340069 | − | 0.733141i | ||||
\(226\) | 15.3389 | + | 26.5678i | 1.02033 | + | 1.76726i | ||||
\(227\) | 18.9731 | − | 6.90566i | 1.25929 | − | 0.458344i | 0.375760 | − | 0.926717i | \(-0.377382\pi\) |
0.883531 | + | 0.468373i | \(0.155159\pi\) | |||||||
\(228\) | −0.189094 | − | 0.296159i | −0.0125231 | − | 0.0196136i | ||||
\(229\) | 22.0248 | − | 18.4810i | 1.45544 | − | 1.22126i | 0.526955 | − | 0.849893i | \(-0.323334\pi\) |
0.928486 | − | 0.371367i | \(-0.121111\pi\) | |||||||
\(230\) | −9.42154 | + | 7.90561i | −0.621238 | + | 0.521280i | ||||
\(231\) | 0.580210 | − | 1.11733i | 0.0381750 | − | 0.0735146i | ||||
\(232\) | 10.3512 | − | 3.76752i | 0.679588 | − | 0.247350i | ||||
\(233\) | 1.56047 | + | 2.70282i | 0.102230 | + | 0.177067i | 0.912603 | − | 0.408847i | \(-0.134069\pi\) |
−0.810373 | + | 0.585914i | \(0.800736\pi\) | |||||||
\(234\) | −2.40135 | − | 8.89015i | −0.156981 | − | 0.581167i | ||||
\(235\) | 2.81778 | − | 4.88053i | 0.183811 | − | 0.318371i | ||||
\(236\) | 0.802100 | − | 4.54893i | 0.0522123 | − | 0.296110i | ||||
\(237\) | −0.521482 | − | 2.34107i | −0.0338739 | − | 0.152069i | ||||
\(238\) | 9.28344 | + | 3.37890i | 0.601756 | + | 0.219021i | ||||
\(239\) | −0.350515 | − | 1.98787i | −0.0226729 | − | 0.128585i | 0.971370 | − | 0.237570i | \(-0.0763509\pi\) |
−0.994043 | + | 0.108985i | \(0.965240\pi\) | |||||||
\(240\) | −6.32964 | − | 4.84676i | −0.408577 | − | 0.312857i | ||||
\(241\) | −0.692595 | − | 0.581157i | −0.0446140 | − | 0.0374356i | 0.620208 | − | 0.784437i | \(-0.287048\pi\) |
−0.664822 | + | 0.747002i | \(0.731493\pi\) | |||||||
\(242\) | −16.3976 | −1.05408 | ||||||||
\(243\) | −15.4652 | − | 1.95668i | −0.992091 | − | 0.125521i | ||||
\(244\) | −4.29383 | −0.274884 | ||||||||
\(245\) | 0.750230 | + | 0.629518i | 0.0479304 | + | 0.0402184i | ||||
\(246\) | −5.51773 | − | 4.22506i | −0.351798 | − | 0.269380i | ||||
\(247\) | −0.152759 | − | 0.866338i | −0.00971981 | − | 0.0551238i | ||||
\(248\) | 10.6795 | + | 3.88700i | 0.678146 | + | 0.246825i | ||||
\(249\) | 0.948952 | + | 4.26009i | 0.0601374 | + | 0.269972i | ||||
\(250\) | −2.40761 | + | 13.6542i | −0.152270 | + | 0.863569i | ||||
\(251\) | −9.02472 | + | 15.6313i | −0.569635 | + | 0.986637i | 0.426966 | + | 0.904267i | \(0.359582\pi\) |
−0.996602 | + | 0.0823699i | \(0.973751\pi\) | |||||||
\(252\) | −0.353646 | − | 1.30925i | −0.0222776 | − | 0.0824749i | ||||
\(253\) | 2.91470 | + | 5.04842i | 0.183246 | + | 0.317391i | ||||
\(254\) | −18.8303 | + | 6.85365i | −1.18152 | + | 0.430036i | ||||
\(255\) | −4.93198 | + | 9.49764i | −0.308853 | + | 0.594765i | ||||
\(256\) | 7.91848 | − | 6.64439i | 0.494905 | − | 0.415274i | ||||
\(257\) | −17.1201 | + | 14.3655i | −1.06792 | + | 0.896093i | −0.994863 | − | 0.101234i | \(-0.967721\pi\) |
−0.0730597 | + | 0.997328i | \(0.523276\pi\) | |||||||
\(258\) | 15.5543 | + | 24.3610i | 0.968367 | + | 1.51665i | ||||
\(259\) | −6.83860 | + | 2.48905i | −0.424930 | + | 0.154662i | ||||
\(260\) | 0.433928 | + | 0.751585i | 0.0269111 | + | 0.0466114i | ||||
\(261\) | −5.73678 | + | 12.3677i | −0.355098 | + | 0.765540i | ||||
\(262\) | 13.8356 | − | 23.9640i | 0.854768 | − | 1.48050i | ||||
\(263\) | −1.91202 | + | 10.8436i | −0.117900 | + | 0.668646i | 0.867373 | + | 0.497659i | \(0.165807\pi\) |
−0.985273 | + | 0.170987i | \(0.945304\pi\) | |||||||
\(264\) | −2.24787 | + | 2.06398i | −0.138347 | + | 0.127029i | ||||
\(265\) | 4.04174 | + | 1.47107i | 0.248282 | + | 0.0903673i | ||||
\(266\) | −0.122027 | − | 0.692051i | −0.00748197 | − | 0.0424324i | ||||
\(267\) | 8.48320 | − | 3.52389i | 0.519163 | − | 0.215659i | ||||
\(268\) | 1.10774 | + | 0.929507i | 0.0676662 | + | 0.0567787i | ||||
\(269\) | 22.2439 | 1.35623 | 0.678117 | − | 0.734954i | \(-0.262796\pi\) | ||||
0.678117 | + | 0.734954i | \(0.262796\pi\) | |||||||
\(270\) | 7.89734 | − | 1.06404i | 0.480617 | − | 0.0647556i | ||||
\(271\) | 32.5006 | 1.97427 | 0.987135 | − | 0.159890i | \(-0.0511139\pi\) | ||||
0.987135 | + | 0.159890i | \(0.0511139\pi\) | |||||||
\(272\) | −22.7137 | − | 19.0590i | −1.37722 | − | 1.15562i | ||||
\(273\) | 0.439775 | − | 3.36668i | 0.0266164 | − | 0.203761i | ||||
\(274\) | 3.44708 | + | 19.5493i | 0.208245 | + | 1.18102i | ||||
\(275\) | 2.76008 | + | 1.00459i | 0.166439 | + | 0.0605789i | ||||
\(276\) | 5.99064 | + | 1.88219i | 0.360594 | + | 0.113295i | ||||
\(277\) | −4.90865 | + | 27.8383i | −0.294932 | + | 1.67264i | 0.372546 | + | 0.928014i | \(0.378485\pi\) |
−0.667478 | + | 0.744629i | \(0.732626\pi\) | |||||||
\(278\) | 15.0835 | − | 26.1254i | 0.904649 | − | 1.56690i | ||||
\(279\) | −12.7359 | + | 5.97018i | −0.762479 | + | 0.357426i | ||||
\(280\) | −1.18695 | − | 2.05585i | −0.0709335 | − | 0.122861i | ||||
\(281\) | −7.21769 | + | 2.62702i | −0.430571 | + | 0.156715i | −0.548209 | − | 0.836342i | \(-0.684690\pi\) |
0.117638 | + | 0.993057i | \(0.462468\pi\) | |||||||
\(282\) | −15.5915 | + | 0.696510i | −0.928463 | + | 0.0414766i | ||||
\(283\) | 18.3648 | − | 15.4099i | 1.09167 | − | 0.916024i | 0.0948371 | − | 0.995493i | \(-0.469767\pi\) |
0.996837 | + | 0.0794692i | \(0.0253225\pi\) | |||||||
\(284\) | −1.69622 | + | 1.42329i | −0.100652 | + | 0.0844569i | ||||
\(285\) | 0.760483 | − | 0.0339725i | 0.0450471 | − | 0.00201236i | ||||
\(286\) | 2.09666 | − | 0.763122i | 0.123978 | − | 0.0451243i | ||||
\(287\) | −1.28116 | − | 2.21903i | −0.0756243 | − | 0.130985i | ||||
\(288\) | −0.641523 | + | 7.50716i | −0.0378021 | + | 0.442364i | ||||
\(289\) | −11.4015 | + | 19.7480i | −0.670676 | + | 1.16165i | ||||
\(290\) | 1.21021 | − | 6.86342i | 0.0710658 | − | 0.403034i | ||||
\(291\) | 21.0744 | + | 6.62137i | 1.23541 | + | 0.388152i | ||||
\(292\) | −2.83406 | − | 1.03151i | −0.165851 | − | 0.0603648i | ||||
\(293\) | −2.01103 | − | 11.4051i | −0.117486 | − | 0.666295i | −0.985489 | − | 0.169737i | \(-0.945708\pi\) |
0.868004 | − | 0.496558i | \(-0.165403\pi\) | |||||||
\(294\) | 0.351302 | − | 2.68938i | 0.0204884 | − | 0.156848i | ||||
\(295\) | 7.66584 | + | 6.43240i | 0.446323 | + | 0.374509i | ||||
\(296\) | 17.6401 | 1.02531 | ||||||||
\(297\) | 0.153322 | − | 3.77386i | 0.00889667 | − | 0.218982i | ||||
\(298\) | 28.4614 | 1.64872 | ||||||||
\(299\) | 12.0429 | + | 10.1052i | 0.696459 | + | 0.584398i | ||||
\(300\) | 2.92187 | − | 1.21373i | 0.168694 | − | 0.0700750i | ||||
\(301\) | 1.85050 | + | 10.4947i | 0.106661 | + | 0.604906i | ||||
\(302\) | −15.5890 | − | 5.67391i | −0.897043 | − | 0.326497i | ||||
\(303\) | −5.38549 | + | 4.94490i | −0.309388 | + | 0.284077i | ||||
\(304\) | −0.366241 | + | 2.07706i | −0.0210054 | + | 0.119127i | ||||
\(305\) | 4.65117 | − | 8.05607i | 0.266325 | − | 0.461289i | ||||
\(306\) | 29.5196 | − | 2.64269i | 1.68753 | − | 0.151073i | ||||
\(307\) | 1.28962 | + | 2.23369i | 0.0736026 | + | 0.127483i | 0.900478 | − | 0.434902i | \(-0.143217\pi\) |
−0.826875 | + | 0.562386i | \(0.809884\pi\) | |||||||
\(308\) | 0.308774 | − | 0.112385i | 0.0175940 | − | 0.00640370i | ||||
\(309\) | 1.61015 | + | 2.52180i | 0.0915980 | + | 0.143460i | ||||
\(310\) | 5.50811 | − | 4.62185i | 0.312839 | − | 0.262504i | ||||
\(311\) | −21.4211 | + | 17.9744i | −1.21468 | + | 1.01924i | −0.215593 | + | 0.976483i | \(0.569169\pi\) |
−0.999086 | + | 0.0427535i | \(0.986387\pi\) | |||||||
\(312\) | −3.79279 | + | 7.30386i | −0.214724 | + | 0.413500i | ||||
\(313\) | −22.6602 | + | 8.24764i | −1.28083 | + | 0.466184i | −0.890707 | − | 0.454579i | \(-0.849790\pi\) |
−0.390123 | + | 0.920763i | \(0.627568\pi\) | |||||||
\(314\) | 12.7724 | + | 22.1224i | 0.720787 | + | 1.24844i | ||||
\(315\) | 2.83948 | + | 0.754697i | 0.159987 | + | 0.0425223i | ||||
\(316\) | 0.312991 | − | 0.542116i | 0.0176071 | − | 0.0304964i | ||||
\(317\) | −1.45181 | + | 8.23363i | −0.0815418 | + | 0.462447i | 0.916508 | + | 0.400017i | \(0.130996\pi\) |
−0.998049 | + | 0.0624293i | \(0.980115\pi\) | |||||||
\(318\) | −2.58987 | − | 11.6266i | −0.145232 | − | 0.651986i | ||||
\(319\) | −3.10407 | − | 1.12979i | −0.173795 | − | 0.0632561i | ||||
\(320\) | 0.929691 | + | 5.27254i | 0.0519713 | + | 0.294744i | ||||
\(321\) | −4.33286 | − | 3.31778i | −0.241837 | − | 0.185180i | ||||
\(322\) | 9.62014 | + | 8.07226i | 0.536110 | + | 0.449849i | ||||
\(323\) | 2.83126 | 0.157535 | ||||||||
\(324\) | −2.62775 | − | 3.10607i | −0.145986 | − | 0.172560i | ||||
\(325\) | 7.92116 | 0.439387 | ||||||||
\(326\) | 8.89867 | + | 7.46687i | 0.492852 | + | 0.413552i | ||||
\(327\) | −12.8241 | − | 9.81971i | −0.709173 | − | 0.543031i | ||||
\(328\) | 1.07851 | + | 6.11651i | 0.0595505 | + | 0.337728i | ||||
\(329\) | −5.40732 | − | 1.96810i | −0.298115 | − | 0.108505i | ||||
\(330\) | 0.419795 | + | 1.88457i | 0.0231090 | + | 0.103742i | ||||
\(331\) | 5.57815 | − | 31.6353i | 0.306603 | − | 1.73883i | −0.309258 | − | 0.950978i | \(-0.600081\pi\) |
0.615861 | − | 0.787855i | \(-0.288808\pi\) | |||||||
\(332\) | −0.569557 | + | 0.986501i | −0.0312585 | + | 0.0541413i | ||||
\(333\) | −15.4067 | + | 15.4690i | −0.844281 | + | 0.847696i | ||||
\(334\) | −4.08828 | − | 7.08110i | −0.223700 | − | 0.387461i | ||||
\(335\) | −2.94387 | + | 1.07148i | −0.160841 | + | 0.0585413i | ||||
\(336\) | −3.75144 | + | 7.22425i | −0.204658 | + | 0.394115i | ||||
\(337\) | 13.6361 | − | 11.4420i | 0.742805 | − | 0.623287i | −0.190785 | − | 0.981632i | \(-0.561103\pi\) |
0.933589 | + | 0.358345i | \(0.116659\pi\) | |||||||
\(338\) | −10.9847 | + | 9.21729i | −0.597491 | + | 0.501354i | ||||
\(339\) | 18.2610 | + | 28.6003i | 0.991801 | + | 1.55335i | ||||
\(340\) | −2.62468 | + | 0.955306i | −0.142343 | + | 0.0518087i | ||||
\(341\) | −1.70402 | − | 2.95145i | −0.0922780 | − | 0.159830i | ||||
\(342\) | −1.21269 | − | 1.72448i | −0.0655746 | − | 0.0932490i | ||||
\(343\) | 0.500000 | − | 0.866025i | 0.0269975 | − | 0.0467610i | ||||
\(344\) | 4.48550 | − | 25.4385i | 0.241842 | − | 1.37155i | ||||
\(345\) | −10.0206 | + | 9.20078i | −0.539489 | + | 0.495353i | ||||
\(346\) | 11.5303 | + | 4.19667i | 0.619871 | + | 0.225615i | ||||
\(347\) | −1.20000 | − | 6.80552i | −0.0644192 | − | 0.365340i | −0.999928 | − | 0.0120350i | \(-0.996169\pi\) |
0.935508 | − | 0.353305i | \(-0.114942\pi\) | |||||||
\(348\) | −3.28602 | + | 1.36500i | −0.176149 | + | 0.0731718i | ||||
\(349\) | −18.2531 | − | 15.3162i | −0.977068 | − | 0.819857i | 0.00657681 | − | 0.999978i | \(-0.497907\pi\) |
−0.983644 | + | 0.180121i | \(0.942351\pi\) | |||||||
\(350\) | 6.32761 | 0.338225 | ||||||||
\(351\) | −3.09234 | − | 9.70508i | −0.165057 | − | 0.518019i | ||||
\(352\) | −1.82556 | −0.0973028 | ||||||||
\(353\) | −9.36822 | − | 7.86087i | −0.498620 | − | 0.418392i | 0.358484 | − | 0.933536i | \(-0.383294\pi\) |
−0.857104 | + | 0.515144i | \(0.827738\pi\) | |||||||
\(354\) | 3.58960 | − | 27.4800i | 0.190785 | − | 1.46055i | ||||
\(355\) | −0.833000 | − | 4.72418i | −0.0442110 | − | 0.250733i | ||||
\(356\) | 2.25291 | + | 0.819993i | 0.119404 | + | 0.0434595i | ||||
\(357\) | 10.4250 | + | 3.27542i | 0.551749 | + | 0.173354i | ||||
\(358\) | 4.06640 | − | 23.0617i | 0.214916 | − | 1.21885i | ||||
\(359\) | −9.82611 | + | 17.0193i | −0.518602 | + | 0.898245i | 0.481164 | + | 0.876630i | \(0.340214\pi\) |
−0.999766 | + | 0.0216147i | \(0.993119\pi\) | |||||||
\(360\) | −5.84197 | − | 4.07304i | −0.307899 | − | 0.214668i | ||||
\(361\) | 9.39930 | + | 16.2801i | 0.494700 | + | 0.856846i | ||||
\(362\) | −4.20126 | + | 1.52914i | −0.220814 | + | 0.0803696i | ||||
\(363\) | −18.1194 | + | 0.809433i | −0.951019 | + | 0.0424842i | ||||
\(364\) | 0.678831 | − | 0.569606i | 0.0355804 | − | 0.0298555i | ||||
\(365\) | 5.00525 | − | 4.19990i | 0.261986 | − | 0.219833i | ||||
\(366\) | −25.7362 | + | 1.14970i | −1.34525 | + | 0.0600956i | ||||
\(367\) | −1.06249 | + | 0.386714i | −0.0554614 | + | 0.0201863i | −0.369602 | − | 0.929190i | \(-0.620506\pi\) |
0.314140 | + | 0.949377i | \(0.398284\pi\) | |||||||
\(368\) | −18.8455 | − | 32.6414i | −0.982390 | − | 1.70155i | ||||
\(369\) | −6.30566 | − | 4.39633i | −0.328259 | − | 0.228864i | ||||
\(370\) | 5.58029 | − | 9.66534i | 0.290105 | − | 0.502477i | ||||
\(371\) | 0.762627 | − | 4.32507i | 0.0395936 | − | 0.224547i | ||||
\(372\) | −3.50230 | − | 1.10039i | −0.181586 | − | 0.0570524i | ||||
\(373\) | −23.3943 | − | 8.51484i | −1.21131 | − | 0.440882i | −0.344153 | − | 0.938913i | \(-0.611834\pi\) |
−0.867159 | + | 0.498032i | \(0.834056\pi\) | |||||||
\(374\) | 1.24697 | + | 7.07191i | 0.0644792 | + | 0.365680i | ||||
\(375\) | −1.98640 | + | 15.2068i | −0.102577 | + | 0.785274i | ||||
\(376\) | 10.6849 | + | 8.96570i | 0.551032 | + | 0.462371i | ||||
\(377\) | −8.90837 | −0.458805 | ||||||||
\(378\) | −2.47023 | − | 7.75264i | −0.127055 | − | 0.398753i | ||||
\(379\) | −13.0914 | −0.672461 | −0.336231 | − | 0.941780i | \(-0.609152\pi\) | ||||
−0.336231 | + | 0.941780i | \(0.609152\pi\) | |||||||
\(380\) | 0.152198 | + | 0.127709i | 0.00780758 | + | 0.00655134i | ||||
\(381\) | −20.4691 | + | 8.50281i | −1.04867 | + | 0.435612i | ||||
\(382\) | −4.97638 | − | 28.2225i | −0.254614 | − | 1.44399i | ||||
\(383\) | −15.0446 | − | 5.47578i | −0.768742 | − | 0.279799i | −0.0722716 | − | 0.997385i | \(-0.523025\pi\) |
−0.696470 | + | 0.717586i | \(0.745247\pi\) | |||||||
\(384\) | 17.3300 | − | 15.9122i | 0.884366 | − | 0.812016i | ||||
\(385\) | −0.123615 | + | 0.701058i | −0.00630003 | + | 0.0357292i | ||||
\(386\) | 20.2542 | − | 35.0813i | 1.03091 | − | 1.78559i | ||||
\(387\) | 18.3900 | + | 26.1511i | 0.934817 | + | 1.32934i | ||||
\(388\) | 2.88271 | + | 4.99300i | 0.146347 | + | 0.253481i | ||||
\(389\) | 2.19967 | − | 0.800616i | 0.111528 | − | 0.0405928i | −0.285653 | − | 0.958333i | \(-0.592211\pi\) |
0.397181 | + | 0.917740i | \(0.369988\pi\) | |||||||
\(390\) | 2.80211 | + | 4.38865i | 0.141890 | + | 0.222228i | ||||
\(391\) | −38.7591 | + | 32.5228i | −1.96013 | + | 1.64475i | ||||
\(392\) | −1.85684 | + | 1.55807i | −0.0937845 | + | 0.0786946i | ||||
\(393\) | 14.1054 | − | 27.1632i | 0.711525 | − | 1.37020i | ||||
\(394\) | −15.3346 | + | 5.58135i | −0.772548 | + | 0.281185i | ||||
\(395\) | 0.678078 | + | 1.17446i | 0.0341178 | + | 0.0590937i | ||||
\(396\) | 0.695637 | − | 0.698451i | 0.0349571 | − | 0.0350985i | ||||
\(397\) | 0.369463 | − | 0.639929i | 0.0185428 | − | 0.0321171i | −0.856605 | − | 0.515973i | \(-0.827431\pi\) |
0.875148 | + | 0.483855i | \(0.160764\pi\) | |||||||
\(398\) | 5.55554 | − | 31.5070i | 0.278474 | − | 1.57930i | ||||
\(399\) | −0.169002 | − | 0.758693i | −0.00846067 | − | 0.0379822i | ||||
\(400\) | −17.8458 | − | 6.49533i | −0.892289 | − | 0.324767i | ||||
\(401\) | −1.54807 | − | 8.77956i | −0.0773071 | − | 0.438430i | −0.998753 | − | 0.0499237i | \(-0.984102\pi\) |
0.921446 | − | 0.388507i | \(-0.127009\pi\) | |||||||
\(402\) | 6.88844 | + | 5.27465i | 0.343564 | + | 0.263076i | ||||
\(403\) | −7.04063 | − | 5.90779i | −0.350719 | − | 0.294288i | ||||
\(404\) | −1.90822 | −0.0949375 | ||||||||
\(405\) | 8.67404 | − | 1.56560i | 0.431017 | − | 0.0777955i | ||||
\(406\) | −7.11621 | −0.353172 | ||||||||
\(407\) | −4.05226 | − | 3.40025i | −0.200863 | − | 0.168544i | ||||
\(408\) | −21.0301 | − | 16.1033i | −1.04115 | − | 0.797231i | ||||
\(409\) | −2.61102 | − | 14.8078i | −0.129107 | − | 0.732200i | −0.978784 | − | 0.204896i | \(-0.934314\pi\) |
0.849677 | − | 0.527303i | \(-0.176797\pi\) | |||||||
\(410\) | 3.69252 | + | 1.34397i | 0.182361 | + | 0.0663739i | ||||
\(411\) | 4.77403 | + | 21.4319i | 0.235486 | + | 1.05716i | ||||
\(412\) | −0.135601 | + | 0.769033i | −0.00668059 | + | 0.0378875i | ||||
\(413\) | 5.10900 | − | 8.84904i | 0.251397 | − | 0.435433i | ||||
\(414\) | 36.4105 | + | 9.67742i | 1.78948 | + | 0.475619i | ||||
\(415\) | −1.23391 | − | 2.13720i | −0.0605704 | − | 0.104911i | ||||
\(416\) | −4.62631 | + | 1.68384i | −0.226824 | + | 0.0825571i | ||||
\(417\) | 15.3777 | − | 29.6132i | 0.753047 | − | 1.45016i | ||||
\(418\) | 0.391294 | − | 0.328334i | 0.0191388 | − | 0.0160594i | ||||
\(419\) | −21.2927 | + | 17.8667i | −1.04022 | + | 0.872847i | −0.992031 | − | 0.125992i | \(-0.959789\pi\) |
−0.0481868 | + | 0.998838i | \(0.515344\pi\) | |||||||
\(420\) | 0.412665 | + | 0.646313i | 0.0201360 | + | 0.0315369i | ||||
\(421\) | −24.3032 | + | 8.84564i | −1.18446 | + | 0.431110i | −0.857777 | − | 0.514022i | \(-0.828155\pi\) |
−0.326688 | + | 0.945132i | \(0.605933\pi\) | |||||||
\(422\) | −0.444949 | − | 0.770675i | −0.0216598 | − | 0.0375159i | ||||
\(423\) | −17.1943 | + | 1.53929i | −0.836015 | + | 0.0748427i | ||||
\(424\) | −5.32271 | + | 9.21920i | −0.258493 | + | 0.447724i | ||||
\(425\) | −4.42693 | + | 25.1063i | −0.214737 | + | 1.21784i | ||||
\(426\) | −9.78563 | + | 8.98507i | −0.474116 | + | 0.435328i | ||||
\(427\) | −8.92561 | − | 3.24866i | −0.431941 | − | 0.157214i | ||||
\(428\) | −0.247328 | − | 1.40267i | −0.0119551 | − | 0.0678006i | ||||
\(429\) | 2.27914 | − | 0.946747i | 0.110038 | − | 0.0457094i | ||||
\(430\) | −12.5193 | − | 10.5049i | −0.603733 | − | 0.506592i | ||||
\(431\) | 17.3969 | 0.837980 | 0.418990 | − | 0.907991i | \(-0.362384\pi\) | ||||
0.418990 | + | 0.907991i | \(0.362384\pi\) | |||||||
\(432\) | −0.991331 | + | 24.4005i | −0.0476954 | + | 1.17397i | ||||
\(433\) | −0.427916 | −0.0205643 | −0.0102822 | − | 0.999947i | \(-0.503273\pi\) | ||||
−0.0102822 | + | 0.999947i | \(0.503273\pi\) | |||||||
\(434\) | −5.62422 | − | 4.71928i | −0.269971 | − | 0.226533i | ||||
\(435\) | 0.998480 | − | 7.64382i | 0.0478735 | − | 0.366493i | ||||
\(436\) | −0.732024 | − | 4.15152i | −0.0350576 | − | 0.198822i | ||||
\(437\) | 3.38197 | + | 1.23094i | 0.161781 | + | 0.0588836i | ||||
\(438\) | −17.2629 | − | 5.42383i | −0.824854 | − | 0.259161i | ||||
\(439\) | 3.65596 | − | 20.7340i | 0.174489 | − | 0.989578i | −0.764242 | − | 0.644929i | \(-0.776887\pi\) |
0.938732 | − | 0.344649i | \(-0.112002\pi\) | |||||||
\(440\) | 0.862766 | − | 1.49435i | 0.0411307 | − | 0.0712405i | ||||
\(441\) | 0.255434 | − | 2.98911i | 0.0121635 | − | 0.142338i | ||||
\(442\) | 9.68296 | + | 16.7714i | 0.460571 | + | 0.797733i | ||||
\(443\) | 19.2602 | − | 7.01013i | 0.915078 | − | 0.333061i | 0.158799 | − | 0.987311i | \(-0.449238\pi\) |
0.756279 | + | 0.654250i | \(0.227015\pi\) | |||||||
\(444\) | −5.69248 | + | 0.254296i | −0.270153 | + | 0.0120684i | ||||
\(445\) | −3.97887 | + | 3.33867i | −0.188617 | + | 0.158268i | ||||
\(446\) | 14.8430 | − | 12.4548i | 0.702837 | − | 0.589750i | ||||
\(447\) | 31.4499 | − | 1.40494i | 1.48753 | − | 0.0664512i | ||||
\(448\) | 5.13705 | − | 1.86973i | 0.242703 | − | 0.0883366i | ||||
\(449\) | 16.8776 | + | 29.2329i | 0.796504 | + | 1.37958i | 0.921880 | + | 0.387476i | \(0.126653\pi\) |
−0.125376 | + | 0.992109i | \(0.540014\pi\) | |||||||
\(450\) | 17.1880 | − | 8.05720i | 0.810252 | − | 0.379820i | ||||
\(451\) | 0.931246 | − | 1.61296i | 0.0438506 | − | 0.0759515i | ||||
\(452\) | −1.53788 | + | 8.72176i | −0.0723359 | + | 0.410237i | ||||
\(453\) | −17.5059 | − | 5.50016i | −0.822498 | − | 0.258420i | ||||
\(454\) | 29.7101 | + | 10.8136i | 1.39436 | + | 0.507507i | ||||
\(455\) | 0.333369 | + | 1.89063i | 0.0156286 | + | 0.0886341i | ||||
\(456\) | −0.244038 | + | 1.86822i | −0.0114281 | + | 0.0874875i | ||||
\(457\) | 3.42726 | + | 2.87581i | 0.160320 | + | 0.134525i | 0.719419 | − | 0.694576i | \(-0.244408\pi\) |
−0.559098 | + | 0.829101i | \(0.688853\pi\) | |||||||
\(458\) | 45.0219 | 2.10373 | ||||||||
\(459\) | 32.4888 | − | 4.37735i | 1.51645 | − | 0.204317i | ||||
\(460\) | −3.55055 | −0.165545 | ||||||||
\(461\) | −3.84214 | − | 3.22393i | −0.178946 | − | 0.150154i | 0.548915 | − | 0.835878i | \(-0.315041\pi\) |
−0.727861 | + | 0.685725i | \(0.759485\pi\) | |||||||
\(462\) | 1.82063 | − | 0.756283i | 0.0847034 | − | 0.0351855i | ||||
\(463\) | 2.88484 | + | 16.3608i | 0.134070 | + | 0.760349i | 0.975503 | + | 0.219987i | \(0.0706015\pi\) |
−0.841433 | + | 0.540362i | \(0.818287\pi\) | |||||||
\(464\) | 20.0699 | + | 7.30484i | 0.931721 | + | 0.339119i | ||||
\(465\) | 5.85831 | − | 5.37904i | 0.271673 | − | 0.249447i | ||||
\(466\) | −0.848636 | + | 4.81285i | −0.0393123 | + | 0.222951i | ||||
\(467\) | 14.1524 | − | 24.5127i | 0.654896 | − | 1.13431i | −0.327024 | − | 0.945016i | \(-0.606046\pi\) |
0.981920 | − | 0.189297i | \(-0.0606208\pi\) | |||||||
\(468\) | 1.11864 | − | 2.41164i | 0.0517093 | − | 0.111478i | ||||
\(469\) | 1.59942 | + | 2.77028i | 0.0738544 | + | 0.127920i | ||||
\(470\) | 8.29254 | − | 3.01824i | 0.382506 | − | 0.139221i | ||||
\(471\) | 15.2055 | + | 23.8148i | 0.700633 | + | 1.09733i | ||||
\(472\) | −18.9732 | + | 15.9204i | −0.873311 | + | 0.732795i | ||||
\(473\) | −5.93384 | + | 4.97909i | −0.272838 | + | 0.228939i | ||||
\(474\) | 1.73084 | − | 3.33313i | 0.0795002 | − | 0.153096i | ||||
\(475\) | 1.70405 | − | 0.620222i | 0.0781870 | − | 0.0284577i | ||||
\(476\) | 1.42600 | + | 2.46991i | 0.0653608 | + | 0.113208i | ||||
\(477\) | −3.43573 | − | 12.7195i | −0.157311 | − | 0.582388i | ||||
\(478\) | 1.58042 | − | 2.73736i | 0.0722866 | − | 0.125204i | ||||
\(479\) | −0.215257 | + | 1.22078i | −0.00983534 | + | 0.0557790i | −0.989330 | − | 0.145689i | \(-0.953460\pi\) |
0.979495 | + | 0.201468i | \(0.0645712\pi\) | |||||||
\(480\) | −0.926286 | − | 4.15834i | −0.0422790 | − | 0.189801i | ||||
\(481\) | −13.4055 | − | 4.87919i | −0.611236 | − | 0.222472i | ||||
\(482\) | −0.245845 | − | 1.39426i | −0.0111979 | − | 0.0635066i | ||||
\(483\) | 11.0287 | + | 8.44497i | 0.501825 | + | 0.384259i | ||||
\(484\) | −3.62628 | − | 3.04281i | −0.164831 | − | 0.138310i | ||||
\(485\) | −12.4905 | −0.567163 | ||||||||
\(486\) | −16.5818 | − | 17.9135i | −0.752166 | − | 0.812573i | ||||
\(487\) | 31.9704 | 1.44872 | 0.724358 | − | 0.689424i | \(-0.242136\pi\) | ||||
0.724358 | + | 0.689424i | \(0.242136\pi\) | |||||||
\(488\) | 17.6371 | + | 14.7993i | 0.798393 | + | 0.669931i | ||||
\(489\) | 10.2016 | + | 7.81163i | 0.461333 | + | 0.353254i | ||||
\(490\) | 0.266303 | + | 1.51028i | 0.0120303 | + | 0.0682274i | ||||
\(491\) | −22.9441 | − | 8.35097i | −1.03545 | − | 0.376874i | −0.232298 | − | 0.972645i | \(-0.574624\pi\) |
−0.803155 | + | 0.595771i | \(0.796847\pi\) | |||||||
\(492\) | −0.436209 | − | 1.95826i | −0.0196658 | − | 0.0882850i | ||||
\(493\) | 4.97865 | − | 28.2353i | 0.224227 | − | 1.27166i | ||||
\(494\) | 0.688765 | − | 1.19298i | 0.0309890 | − | 0.0536746i | ||||
\(495\) | 0.556902 | + | 2.06173i | 0.0250309 | + | 0.0926679i | ||||
\(496\) | 11.0176 | + | 19.0831i | 0.494706 | + | 0.856857i | ||||
\(497\) | −4.60278 | + | 1.67527i | −0.206463 | + | 0.0751463i | ||||
\(498\) | −3.14965 | + | 6.06537i | −0.141139 | + | 0.271796i | ||||
\(499\) | 8.94157 | − | 7.50287i | 0.400280 | − | 0.335875i | −0.420322 | − | 0.907375i | \(-0.638083\pi\) |
0.820602 | + | 0.571500i | \(0.193638\pi\) | |||||||
\(500\) | −3.06617 | + | 2.57283i | −0.137123 | + | 0.115060i | ||||
\(501\) | −4.86709 | − | 7.62281i | −0.217446 | − | 0.340562i | ||||
\(502\) | −26.5592 | + | 9.66675i | −1.18539 | + | 0.431448i | ||||
\(503\) | −1.09739 | − | 1.90074i | −0.0489303 | − | 0.0847498i | 0.840523 | − | 0.541776i | \(-0.182248\pi\) |
−0.889453 | + | 0.457026i | \(0.848915\pi\) | |||||||
\(504\) | −3.05988 | + | 6.59667i | −0.136298 | + | 0.293839i | ||||
\(505\) | 2.06703 | − | 3.58020i | 0.0919815 | − | 0.159317i | ||||
\(506\) | −1.58511 | + | 8.98962i | −0.0704668 | + | 0.399637i | ||||
\(507\) | −11.6831 | + | 10.7273i | −0.518867 | + | 0.476418i | ||||
\(508\) | −5.43605 | − | 1.97856i | −0.241186 | − | 0.0877845i | ||||
\(509\) | 7.22401 | + | 40.9694i | 0.320199 | + | 1.81594i | 0.541466 | + | 0.840723i | \(0.317870\pi\) |
−0.221267 | + | 0.975213i | \(0.571019\pi\) | |||||||
\(510\) | −15.4760 | + | 6.42866i | −0.685287 | + | 0.284666i | ||||
\(511\) | −5.11075 | − | 4.28843i | −0.226086 | − | 0.189709i | ||||
\(512\) | −10.9803 | −0.485265 | ||||||||
\(513\) | −1.42514 | − | 1.84569i | −0.0629217 | − | 0.0814890i | ||||
\(514\) | −34.9959 | −1.54360 | ||||||||
\(515\) | −1.29597 | − | 1.08745i | −0.0571073 | − | 0.0479187i | ||||
\(516\) | −1.08076 | + | 8.27369i | −0.0475777 | + | 0.364229i | ||||
\(517\) | −0.726321 | − | 4.11917i | −0.0319436 | − | 0.181161i | ||||
\(518\) | −10.7086 | − | 3.89761i | −0.470508 | − | 0.171251i | ||||
\(519\) | 12.9481 | + | 4.06816i | 0.568359 | + | 0.178572i | ||||
\(520\) | 0.808064 | − | 4.58276i | 0.0354359 | − | 0.200967i | ||||
\(521\) | −5.84124 | + | 10.1173i | −0.255909 | + | 0.443248i | −0.965142 | − | 0.261726i | \(-0.915708\pi\) |
0.709233 | + | 0.704974i | \(0.249042\pi\) | |||||||
\(522\) | −19.3302 | + | 9.06137i | −0.846059 | + | 0.396605i | ||||
\(523\) | 8.11689 | + | 14.0589i | 0.354927 | + | 0.614751i | 0.987105 | − | 0.160072i | \(-0.0511725\pi\) |
−0.632179 | + | 0.774823i | \(0.717839\pi\) | |||||||
\(524\) | 7.50658 | − | 2.73217i | 0.327926 | − | 0.119355i | ||||
\(525\) | 6.99201 | − | 0.312349i | 0.305156 | − | 0.0136320i | ||||
\(526\) | −13.2082 | + | 11.0830i | −0.575903 | + | 0.483240i | ||||
\(527\) | 22.6597 | − | 19.0138i | 0.987073 | − | 0.828253i | ||||
\(528\) | −5.91106 | + | 0.264061i | −0.257246 | + | 0.0114918i | ||||
\(529\) | −38.8251 | + | 14.1312i | −1.68805 | + | 0.614399i | ||||
\(530\) | 3.36758 | + | 5.83282i | 0.146278 | + | 0.253361i | ||||
\(531\) | 2.61002 | − | 30.5427i | 0.113265 | − | 1.32544i | ||||
\(532\) | 0.101434 | − | 0.175689i | 0.00439773 | − | 0.00761709i | ||||
\(533\) | 0.872202 | − | 4.94650i | 0.0377793 | − | 0.214257i | ||||
\(534\) | 13.7230 | + | 4.31162i | 0.593852 | + | 0.186582i | ||||
\(535\) | 2.89960 | + | 1.05537i | 0.125360 | + | 0.0456275i | ||||
\(536\) | −1.34643 | − | 7.63597i | −0.0581568 | − | 0.329824i | ||||
\(537\) | 3.35499 | − | 25.6839i | 0.144778 | − | 1.10834i | ||||
\(538\) | 26.6827 | + | 22.3895i | 1.15037 | + | 0.965278i | ||||
\(539\) | 0.726879 | 0.0313089 | ||||||||
\(540\) | 1.94392 | + | 1.23016i | 0.0836531 | + | 0.0529375i | ||||
\(541\) | 26.8946 | 1.15629 | 0.578145 | − | 0.815934i | \(-0.303777\pi\) | ||||
0.578145 | + | 0.815934i | \(0.303777\pi\) | |||||||
\(542\) | 38.9861 | + | 32.7133i | 1.67460 | + | 1.40515i | ||||
\(543\) | −4.56692 | + | 1.89708i | −0.195985 | + | 0.0814116i | ||||
\(544\) | −2.75146 | − | 15.6043i | −0.117968 | − | 0.669028i | ||||
\(545\) | 8.58201 | + | 3.12359i | 0.367613 | + | 0.133800i | ||||
\(546\) | 3.91624 | − | 3.59585i | 0.167600 | − | 0.153888i | ||||
\(547\) | −4.56872 | + | 25.9105i | −0.195344 | + | 1.10785i | 0.716584 | + | 0.697501i | \(0.245705\pi\) |
−0.911928 | + | 0.410351i | \(0.865406\pi\) | |||||||
\(548\) | −2.86535 | + | 4.96294i | −0.122402 | + | 0.212006i | ||||
\(549\) | −28.3818 | + | 2.54083i | −1.21131 | + | 0.108440i | ||||
\(550\) | 2.29970 | + | 3.98320i | 0.0980596 | + | 0.169844i | ||||
\(551\) | −1.91642 | + | 0.697520i | −0.0816423 | + | 0.0297154i | ||||
\(552\) | −18.1195 | − | 28.3787i | −0.771219 | − | 1.20788i | ||||
\(553\) | 1.06077 | − | 0.890095i | 0.0451087 | − | 0.0378507i | ||||
\(554\) | −33.9087 | + | 28.4528i | −1.44064 | + | 1.20884i | ||||
\(555\) | 5.68911 | − | 10.9557i | 0.241489 | − | 0.465042i | ||||
\(556\) | 8.18362 | − | 2.97860i | 0.347063 | − | 0.126321i | ||||
\(557\) | −6.80281 | − | 11.7828i | −0.288244 | − | 0.499254i | 0.685147 | − | 0.728405i | \(-0.259738\pi\) |
−0.973391 | + | 0.229152i | \(0.926405\pi\) | |||||||
\(558\) | −21.2866 | − | 5.65771i | −0.901135 | − | 0.239510i | ||||
\(559\) | −10.4449 | + | 18.0911i | −0.441773 | + | 0.765173i | ||||
\(560\) | 0.799256 | − | 4.53281i | 0.0337747 | − | 0.191546i | ||||
\(561\) | 1.72699 | + | 7.75291i | 0.0729136 | + | 0.327328i | ||||
\(562\) | −11.3022 | − | 4.11367i | −0.476755 | − | 0.173525i | ||||
\(563\) | −0.0466334 | − | 0.264471i | −0.00196536 | − | 0.0111461i | 0.983809 | − | 0.179218i | \(-0.0573569\pi\) |
−0.985775 | + | 0.168072i | \(0.946246\pi\) | |||||||
\(564\) | −3.57727 | − | 2.73921i | −0.150630 | − | 0.115341i | ||||
\(565\) | −14.6979 | − | 12.3330i | −0.618344 | − | 0.518852i | ||||
\(566\) | 37.5403 | 1.57794 | ||||||||
\(567\) | −3.11230 | − | 8.44474i | −0.130704 | − | 0.354646i | ||||
\(568\) | 11.8728 | 0.498173 | ||||||||
\(569\) | −3.65515 | − | 3.06704i | −0.153232 | − | 0.128577i | 0.562949 | − | 0.826492i | \(-0.309667\pi\) |
−0.716181 | + | 0.697915i | \(0.754111\pi\) | |||||||
\(570\) | 0.946434 | + | 0.724708i | 0.0396417 | + | 0.0303547i | ||||
\(571\) | −2.71235 | − | 15.3825i | −0.113508 | − | 0.643739i | −0.987478 | − | 0.157758i | \(-0.949574\pi\) |
0.873969 | − | 0.485981i | \(-0.161538\pi\) | |||||||
\(572\) | 0.605279 | + | 0.220303i | 0.0253080 | + | 0.00921135i | ||||
\(573\) | −6.89205 | − | 30.9402i | −0.287919 | − | 1.29254i | ||||
\(574\) | 0.696735 | − | 3.95138i | 0.0290811 | − | 0.164927i | ||||
\(575\) | −16.2034 | + | 28.0651i | −0.675729 | + | 1.17040i | ||||
\(576\) | 11.5733 | − | 11.6201i | 0.482219 | − | 0.484170i | ||||
\(577\) | −1.33193 | − | 2.30698i | −0.0554491 | − | 0.0960406i | 0.836968 | − | 0.547251i | \(-0.184326\pi\) |
−0.892418 | + | 0.451210i | \(0.850992\pi\) | |||||||
\(578\) | −33.5539 | + | 12.2126i | −1.39566 | + | 0.507978i | ||||
\(579\) | 20.6492 | − | 39.7647i | 0.858151 | − | 1.65256i | ||||
\(580\) | 1.54124 | − | 1.29325i | 0.0639966 | − | 0.0536995i | ||||
\(581\) | −1.93032 | + | 1.61973i | −0.0800830 | + | 0.0671976i | ||||
\(582\) | 18.6152 | + | 29.1550i | 0.771625 | + | 1.20852i | ||||
\(583\) | 2.99978 | − | 1.09183i | 0.124238 | − | 0.0452191i | ||||
\(584\) | 8.08577 | + | 14.0050i | 0.334592 | + | 0.579530i | ||||
\(585\) | 3.31297 | + | 4.71114i | 0.136974 | + | 0.194782i | ||||
\(586\) | 9.06743 | − | 15.7053i | 0.374572 | − | 0.648778i | ||||
\(587\) | −0.469216 | + | 2.66106i | −0.0193666 | + | 0.109834i | −0.992959 | − | 0.118461i | \(-0.962204\pi\) |
0.973592 | + | 0.228295i | \(0.0733150\pi\) | |||||||
\(588\) | 0.576743 | − | 0.529559i | 0.0237845 | − | 0.0218387i | ||||
\(589\) | −1.97720 | − | 0.719641i | −0.0814690 | − | 0.0296523i | ||||
\(590\) | 2.72108 | + | 15.4320i | 0.112025 | + | 0.635326i | ||||
\(591\) | −16.6693 | + | 6.92436i | −0.685682 | + | 0.284830i | ||||
\(592\) | 26.2006 | + | 21.9849i | 1.07684 | + | 0.903573i | ||||
\(593\) | −37.7214 | −1.54903 | −0.774515 | − | 0.632555i | \(-0.782006\pi\) | ||||
−0.774515 | + | 0.632555i | \(0.782006\pi\) | |||||||
\(594\) | 3.98248 | − | 4.37262i | 0.163403 | − | 0.179411i | ||||
\(595\) | −6.17872 | −0.253303 | ||||||||
\(596\) | 6.29416 | + | 5.28143i | 0.257819 | + | 0.216336i | ||||
\(597\) | 4.58359 | − | 35.0895i | 0.187594 | − | 1.43612i | ||||
\(598\) | 4.27477 | + | 24.2434i | 0.174808 | + | 0.991387i | ||||
\(599\) | 20.3767 | + | 7.41650i | 0.832568 | + | 0.303030i | 0.722912 | − | 0.690940i | \(-0.242803\pi\) |
0.109656 | + | 0.993970i | \(0.465025\pi\) | |||||||
\(600\) | −16.1850 | − | 5.08515i | −0.660750 | − | 0.207601i | ||||
\(601\) | 4.66800 | − | 26.4735i | 0.190412 | − | 1.07988i | −0.728392 | − | 0.685161i | \(-0.759732\pi\) |
0.918803 | − | 0.394716i | \(-0.129157\pi\) | |||||||
\(602\) | −8.34363 | + | 14.4516i | −0.340061 | + | 0.589003i | ||||
\(603\) | 7.87211 | + | 5.48846i | 0.320577 | + | 0.223507i | ||||
\(604\) | −2.39458 | − | 4.14753i | −0.0974339 | − | 0.168760i | ||||
\(605\) | 9.63698 | − | 3.50758i | 0.391799 | − | 0.142603i | ||||
\(606\) | −11.4374 | + | 0.510937i | −0.464614 | + | 0.0207554i | ||||
\(607\) | 2.02286 | − | 1.69738i | 0.0821054 | − | 0.0688946i | −0.600811 | − | 0.799391i | \(-0.705156\pi\) |
0.682917 | + | 0.730496i | \(0.260711\pi\) | |||||||
\(608\) | −0.863396 | + | 0.724475i | −0.0350153 | + | 0.0293813i | ||||
\(609\) | −7.86342 | + | 0.351277i | −0.318642 | + | 0.0142345i | ||||
\(610\) | 13.6881 | − | 4.98206i | 0.554215 | − | 0.201718i | ||||
\(611\) | −5.64003 | − | 9.76881i | −0.228171 | − | 0.395204i | ||||
\(612\) | 7.01857 | + | 4.89337i | 0.283709 | + | 0.197803i | ||||
\(613\) | −14.9858 | + | 25.9562i | −0.605272 | + | 1.04836i | 0.386736 | + | 0.922190i | \(0.373602\pi\) |
−0.992008 | + | 0.126172i | \(0.959731\pi\) | |||||||
\(614\) | −0.701339 | + | 3.97749i | −0.0283037 | + | 0.160518i | ||||
\(615\) | 4.14658 | + | 1.30281i | 0.167206 | + | 0.0525345i | ||||
\(616\) | −1.65565 | − | 0.602607i | −0.0667080 | − | 0.0242797i | ||||
\(617\) | 3.23384 | + | 18.3400i | 0.130189 | + | 0.738341i | 0.978089 | + | 0.208185i | \(0.0667556\pi\) |
−0.847900 | + | 0.530156i | \(0.822133\pi\) | |||||||
\(618\) | −0.606850 | + | 4.64572i | −0.0244111 | + | 0.186878i | ||||
\(619\) | 23.5182 | + | 19.7341i | 0.945277 | + | 0.793182i | 0.978496 | − | 0.206266i | \(-0.0661313\pi\) |
−0.0332186 | + | 0.999448i | \(0.510576\pi\) | |||||||
\(620\) | 2.07575 | 0.0833643 | ||||||||
\(621\) | 40.7113 | + | 8.89623i | 1.63369 | + | 0.356993i | ||||
\(622\) | −43.7878 | −1.75573 | ||||||||
\(623\) | 4.06275 | + | 3.40905i | 0.162770 | + | 0.136581i | ||||
\(624\) | −14.7362 | + | 6.12135i | −0.589919 | + | 0.245050i | ||||
\(625\) | 2.00267 | + | 11.3577i | 0.0801066 | + | 0.454307i | ||||
\(626\) | −35.4837 | − | 12.9150i | −1.41821 | − | 0.516188i | ||||
\(627\) | 0.416172 | − | 0.382125i | 0.0166203 | − | 0.0152606i | ||||
\(628\) | −1.28056 | + | 7.26241i | −0.0510999 | + | 0.289802i | ||||
\(629\) | 22.9567 | − | 39.7621i | 0.915343 | − | 1.58542i | ||||
\(630\) | 2.64647 | + | 3.76336i | 0.105438 | + | 0.149936i | ||||
\(631\) | −15.5851 | − | 26.9942i | −0.620433 | − | 1.07462i | −0.989405 | − | 0.145181i | \(-0.953624\pi\) |
0.368972 | − | 0.929440i | \(-0.379710\pi\) | |||||||
\(632\) | −3.15410 | + | 1.14800i | −0.125463 | + | 0.0456649i | ||||
\(633\) | −0.529712 | − | 0.829632i | −0.0210542 | − | 0.0329749i | ||||
\(634\) | −10.0290 | + | 8.41536i | −0.398304 | + | 0.334217i | ||||
\(635\) | 9.60063 | − | 8.05588i | 0.380989 | − | 0.319688i | ||||
\(636\) | 1.58474 | − | 3.05177i | 0.0628390 | − | 0.121011i | ||||
\(637\) | 1.84205 | − | 0.670450i | 0.0729845 | − | 0.0265642i | ||||
\(638\) | −2.58631 | − | 4.47963i | −0.102393 | − | 0.177350i | ||||
\(639\) | −10.3696 | + | 10.4116i | −0.410215 | + | 0.411875i | ||||
\(640\) | −6.65149 | + | 11.5207i | −0.262923 | + | 0.455396i | ||||
\(641\) | −4.28900 | + | 24.3241i | −0.169405 | + | 0.960745i | 0.775000 | + | 0.631961i | \(0.217750\pi\) |
−0.944405 | + | 0.328784i | \(0.893361\pi\) | |||||||
\(642\) | −1.85800 | − | 8.34106i | −0.0733295 | − | 0.329195i | ||||
\(643\) | 40.4555 | + | 14.7246i | 1.59541 | + | 0.580681i | 0.978481 | − | 0.206338i | \(-0.0661546\pi\) |
0.616928 | + | 0.787019i | \(0.288377\pi\) | |||||||
\(644\) | 0.629543 | + | 3.57031i | 0.0248075 | + | 0.140690i | ||||
\(645\) | −14.3524 | − | 10.9900i | −0.565124 | − | 0.432729i | ||||
\(646\) | 3.39624 | + | 2.84978i | 0.133623 | + | 0.112123i | ||||
\(647\) | −34.3855 | −1.35183 | −0.675916 | − | 0.736979i | \(-0.736252\pi\) | ||||
−0.675916 | + | 0.736979i | \(0.736252\pi\) | |||||||
\(648\) | 0.0880790 | + | 21.8152i | 0.00346007 | + | 0.856982i | ||||
\(649\) | 7.42725 | 0.291545 | ||||||||
\(650\) | 9.50185 | + | 7.97300i | 0.372693 | + | 0.312727i | ||||
\(651\) | −6.44772 | − | 4.93718i | −0.252706 | − | 0.193503i | ||||
\(652\) | 0.582330 | + | 3.30255i | 0.0228058 | + | 0.129338i | ||||
\(653\) | 7.64562 | + | 2.78278i | 0.299196 | + | 0.108899i | 0.487256 | − | 0.873259i | \(-0.337998\pi\) |
−0.188060 | + | 0.982158i | \(0.560220\pi\) | |||||||
\(654\) | −5.49918 | − | 24.6872i | −0.215035 | − | 0.965348i | ||||
\(655\) | −3.00520 | + | 17.0434i | −0.117423 | + | 0.665939i | ||||
\(656\) | −6.02112 | + | 10.4289i | −0.235085 | + | 0.407180i | ||||
\(657\) | −19.3433 | − | 5.14119i | −0.754653 | − | 0.200577i | ||||
\(658\) | −4.50538 | − | 7.80355i | −0.175638 | − | 0.304214i | ||||
\(659\) | 1.50161 | − | 0.546540i | 0.0584942 | − | 0.0212902i | −0.312607 | − | 0.949882i | \(-0.601202\pi\) |
0.371102 | + | 0.928592i | \(0.378980\pi\) | |||||||
\(660\) | −0.256873 | + | 0.494667i | −0.00999876 | + | 0.0192549i | ||||
\(661\) | 11.2291 | − | 9.42232i | 0.436761 | − | 0.366486i | −0.397735 | − | 0.917500i | \(-0.630204\pi\) |
0.834496 | + | 0.551015i | \(0.185759\pi\) | |||||||
\(662\) | 38.5336 | − | 32.3335i | 1.49765 | − | 1.25668i | ||||
\(663\) | 11.5276 | + | 18.0544i | 0.447693 | + | 0.701175i | ||||
\(664\) | 5.73959 | − | 2.08904i | 0.222739 | − | 0.0810704i | ||||
\(665\) | 0.219751 | + | 0.380621i | 0.00852159 | + | 0.0147598i | ||||
\(666\) | −34.0513 | + | 3.04839i | −1.31946 | + | 0.118123i | ||||
\(667\) | 18.2228 | − | 31.5629i | 0.705591 | − | 1.22212i | ||||
\(668\) | 0.409890 | − | 2.32460i | 0.0158591 | − | 0.0899416i | ||||
\(669\) | 15.7867 | − | 14.4952i | 0.610351 | − | 0.560418i | ||||
\(670\) | −4.60982 | − | 1.67784i | −0.178093 | − | 0.0648205i | ||||
\(671\) | −1.19890 | − | 6.79932i | −0.0462832 | − | 0.262485i | ||||
\(672\) | −4.01725 | + | 1.66875i | −0.154969 | + | 0.0643735i | ||||
\(673\) | −11.3078 | − | 9.48840i | −0.435885 | − | 0.365751i | 0.398282 | − | 0.917263i | \(-0.369607\pi\) |
−0.834167 | + | 0.551512i | \(0.814051\pi\) | |||||||
\(674\) | 27.8741 | 1.07367 | ||||||||
\(675\) | 18.5951 | − | 9.75166i | 0.715725 | − | 0.375342i | ||||
\(676\) | −4.13964 | −0.159217 | ||||||||
\(677\) | −22.3441 | − | 18.7490i | −0.858755 | − | 0.720581i | 0.102944 | − | 0.994687i | \(-0.467174\pi\) |
−0.961700 | + | 0.274106i | \(0.911618\pi\) | |||||||
\(678\) | −6.88241 | + | 52.6880i | −0.264317 | + | 2.02347i | ||||
\(679\) | 2.21467 | + | 12.5600i | 0.0849911 | + | 0.482009i | ||||
\(680\) | 14.0736 | + | 5.12236i | 0.539697 | + | 0.196434i | ||||
\(681\) | 33.3635 | + | 10.4825i | 1.27849 | + | 0.401688i | ||||
\(682\) | 0.926703 | − | 5.25559i | 0.0354853 | − | 0.201247i | ||||
\(683\) | −22.3639 | + | 38.7354i | −0.855730 | + | 1.48217i | 0.0202366 | + | 0.999795i | \(0.493558\pi\) |
−0.875966 | + | 0.482372i | \(0.839775\pi\) | |||||||
\(684\) | 0.0518193 | − | 0.606395i | 0.00198136 | − | 0.0231861i | ||||
\(685\) | −6.20763 | − | 10.7519i | −0.237181 | − | 0.410810i | ||||
\(686\) | 1.47147 | − | 0.535571i | 0.0561809 | − | 0.0204482i | ||||
\(687\) | 49.7492 | − | 2.22241i | 1.89805 | − | 0.0847902i | ||||
\(688\) | 38.3663 | − | 32.1931i | 1.46270 | − | 1.22735i | ||||
\(689\) | 6.59494 | − | 5.53381i | 0.251247 | − | 0.210821i | ||||
\(690\) | −21.2812 | + | 0.950678i | −0.810160 | + | 0.0361917i | ||||
\(691\) | 12.3775 | − | 4.50502i | 0.470860 | − | 0.171379i | −0.0956817 | − | 0.995412i | \(-0.530503\pi\) |
0.566542 | + | 0.824033i | \(0.308281\pi\) | |||||||
\(692\) | 1.77113 | + | 3.06769i | 0.0673283 | + | 0.116616i | ||||
\(693\) | 1.97446 | − | 0.925565i | 0.0750037 | − | 0.0351593i | ||||
\(694\) | 5.41060 | − | 9.37143i | 0.205383 | − | 0.355735i | ||||
\(695\) | −3.27626 | + | 18.5806i | −0.124275 | + | 0.704801i | ||||
\(696\) | 18.2021 | + | 5.71892i | 0.689950 | + | 0.216775i | ||||
\(697\) | 15.1906 | + | 5.52894i | 0.575386 | + | 0.209423i | ||||
\(698\) | −6.47916 | − | 36.7452i | −0.245240 | − | 1.39082i | ||||
\(699\) | −0.700167 | + | 5.36010i | −0.0264827 | + | 0.202738i | ||||
\(700\) | 1.39933 | + | 1.17418i | 0.0528898 | + | 0.0443798i | ||||
\(701\) | −24.0195 | −0.907203 | −0.453602 | − | 0.891205i | \(-0.649861\pi\) | ||||
−0.453602 | + | 0.891205i | \(0.649861\pi\) | |||||||
\(702\) | 6.05917 | − | 14.7543i | 0.228689 | − | 0.556866i | ||||
\(703\) | −3.26590 | −0.123176 | ||||||||
\(704\) | 3.04400 | + | 2.55422i | 0.114725 | + | 0.0962657i | ||||
\(705\) | 9.01427 | − | 3.74450i | 0.339497 | − | 0.141026i | ||||
\(706\) | −3.32536 | − | 18.8590i | −0.125152 | − | 0.709770i | ||||
\(707\) | −3.96663 | − | 1.44374i | −0.149180 | − | 0.0542972i | ||||
\(708\) | 5.89315 | − | 5.41103i | 0.221478 | − | 0.203359i | ||||
\(709\) | 1.37808 | − | 7.81547i | 0.0517548 | − | 0.293516i | −0.947934 | − | 0.318467i | \(-0.896832\pi\) |
0.999689 | + | 0.0249511i | \(0.00794302\pi\) | |||||||
\(710\) | 3.75586 | − | 6.50535i | 0.140955 | − | 0.244141i | ||||
\(711\) | 1.74805 | − | 3.76855i | 0.0655569 | − | 0.141331i | ||||
\(712\) | −6.42771 | − | 11.1331i | −0.240888 | − | 0.417231i | ||||
\(713\) | 35.3339 | − | 12.8605i | 1.32326 | − | 0.481628i | ||||
\(714\) | 9.20847 | + | 14.4223i | 0.344618 | + | 0.539740i | ||||
\(715\) | −1.06898 | + | 0.896984i | −0.0399777 | + | 0.0335453i | ||||
\(716\) | 5.17871 | − | 4.34545i | 0.193538 | − | 0.162397i | ||||
\(717\) | 1.61124 | − | 3.10280i | 0.0601728 | − | 0.115876i | ||||
\(718\) | −28.9176 | + | 10.5252i | −1.07920 | + | 0.392795i | ||||
\(719\) | 13.0626 | + | 22.6251i | 0.487153 | + | 0.843773i | 0.999891 | − | 0.0147716i | \(-0.00470212\pi\) |
−0.512738 | + | 0.858545i | \(0.671369\pi\) | |||||||
\(720\) | −3.60074 | − | 13.3305i | −0.134192 | − | 0.496797i | ||||
\(721\) | −0.863716 | + | 1.49600i | −0.0321665 | + | 0.0557139i | ||||
\(722\) | −5.11165 | + | 28.9896i | −0.190236 | + | 1.07888i | ||||
\(723\) | −0.340483 | − | 1.52852i | −0.0126627 | − | 0.0568462i | ||||
\(724\) | −1.21285 | − | 0.441442i | −0.0450753 | − | 0.0164060i | ||||
\(725\) | −3.18881 | − | 18.0846i | −0.118429 | − | 0.671646i | ||||
\(726\) | −22.5498 | − | 17.2670i | −0.836903 | − | 0.640837i | ||||
\(727\) | 29.2849 | + | 24.5730i | 1.08612 | + | 0.911361i | 0.996414 | − | 0.0846071i | \(-0.0269635\pi\) |
0.0897038 | + | 0.995968i | \(0.471408\pi\) | |||||||
\(728\) | −4.75155 | −0.176104 | ||||||||
\(729\) | −19.2072 | − | 18.9759i | −0.711376 | − | 0.702811i | ||||
\(730\) | 10.2314 | 0.378682 | ||||||||
\(731\) | −51.5029 | − | 43.2161i | −1.90490 | − | 1.59840i | ||||
\(732\) | −5.90484 | − | 4.52148i | −0.218249 | − | 0.167119i | ||||
\(733\) | 5.70519 | + | 32.3558i | 0.210726 | + | 1.19509i | 0.888171 | + | 0.459513i | \(0.151976\pi\) |
−0.677445 | + | 0.735574i | \(0.736913\pi\) | |||||||
\(734\) | −1.66375 | − | 0.605557i | −0.0614103 | − | 0.0223515i | ||||
\(735\) | 0.368816 | + | 1.65571i | 0.0136040 | + | 0.0610719i | ||||
\(736\) | 3.49758 | − | 19.8357i | 0.128922 | − | 0.731155i | ||||
\(737\) | −1.16259 | + | 2.01366i | −0.0428244 | + | 0.0741740i | ||||
\(738\) | −3.13887 | − | 11.6205i | −0.115543 | − | 0.427758i | ||||
\(739\) | −6.22311 | − | 10.7787i | −0.228921 | − | 0.396503i | 0.728568 | − | 0.684974i | \(-0.240186\pi\) |
−0.957489 | + | 0.288471i | \(0.906853\pi\) | |||||||
\(740\) | 3.02761 | − | 1.10196i | 0.111297 | − | 0.0405089i | ||||
\(741\) | 0.702197 | − | 1.35224i | 0.0257959 | − | 0.0496758i | ||||
\(742\) | 5.26819 | − | 4.42053i | 0.193401 | − | 0.162283i | ||||
\(743\) | 19.7967 | − | 16.6114i | 0.726270 | − | 0.609413i | −0.202842 | − | 0.979211i | \(-0.565018\pi\) |
0.929112 | + | 0.369799i | \(0.120573\pi\) | |||||||
\(744\) | 10.5932 | + | 16.5910i | 0.388366 | + | 0.608257i | ||||
\(745\) | −16.7270 | + | 6.08812i | −0.612829 | + | 0.223051i | ||||
\(746\) | −19.4922 | − | 33.7614i | −0.713658 | − | 1.23609i | ||||
\(747\) | −3.18096 | + | 6.85771i | −0.116385 | + | 0.250910i | ||||
\(748\) | −1.03653 | + | 1.79533i | −0.0378994 | + | 0.0656436i | ||||
\(749\) | 0.547119 | − | 3.10286i | 0.0199913 | − | 0.113376i | ||||
\(750\) | −17.6891 | + | 16.2419i | −0.645913 | + | 0.593071i | ||||
\(751\) | −10.5354 | − | 3.83456i | −0.384441 | − | 0.139925i | 0.142567 | − | 0.989785i | \(-0.454464\pi\) |
−0.527009 | + | 0.849860i | \(0.676686\pi\) | |||||||
\(752\) | 4.69615 | + | 26.6332i | 0.171251 | + | 0.971212i | ||||
\(753\) | −28.8707 | + | 11.9928i | −1.05211 | + | 0.437042i | ||||
\(754\) | −10.6861 | − | 8.96667i | −0.389163 | − | 0.326547i | ||||
\(755\) | 10.3754 | 0.377601 | ||||||||
\(756\) | 0.892330 | − | 2.17286i | 0.0324537 | − | 0.0790263i | ||||
\(757\) | −15.1191 | −0.549514 | −0.274757 | − | 0.961514i | \(-0.588597\pi\) | ||||
−0.274757 | + | 0.961514i | \(0.588597\pi\) | |||||||
\(758\) | −15.7039 | − | 13.1771i | −0.570390 | − | 0.478614i | ||||
\(759\) | −1.30780 | + | 10.0118i | −0.0474700 | + | 0.363404i | ||||
\(760\) | −0.184992 | − | 1.04914i | −0.00671035 | − | 0.0380563i | ||||
\(761\) | 15.6493 | + | 5.69588i | 0.567287 | + | 0.206476i | 0.609711 | − | 0.792624i | \(-0.291286\pi\) |
−0.0424235 | + | 0.999100i | \(0.513508\pi\) | |||||||
\(762\) | −33.1122 | − | 10.4035i | −1.19953 | − | 0.376880i | ||||
\(763\) | 1.61932 | − | 9.18362i | 0.0586233 | − | 0.332470i | ||||
\(764\) | 4.13657 | − | 7.16476i | 0.149656 | − | 0.259212i | ||||
\(765\) | −16.7836 | + | 7.86761i | −0.606813 | + | 0.284454i | ||||
\(766\) | −12.5351 | − | 21.7115i | −0.452913 | − | 0.784468i | ||||
\(767\) | 18.8220 | − | 6.85065i | 0.679624 | − | 0.247363i | ||||
\(768\) | 17.8861 | − | 0.799012i | 0.645409 | − | 0.0288319i | ||||
\(769\) | −36.1307 | + | 30.3172i | −1.30291 | + | 1.09327i | −0.313270 | + | 0.949664i | \(0.601425\pi\) |
−0.989635 | + | 0.143604i | \(0.954131\pi\) | |||||||
\(770\) | −0.853929 | + | 0.716531i | −0.0307735 | + | 0.0258220i | ||||
\(771\) | −38.6705 | + | 1.72750i | −1.39268 | + | 0.0622144i | ||||
\(772\) | 10.9890 | − | 3.99967i | 0.395503 | − | 0.143951i | ||||
\(773\) | 2.61422 | + | 4.52795i | 0.0940268 | + | 0.162859i | 0.909202 | − | 0.416355i | \(-0.136693\pi\) |
−0.815175 | + | 0.579214i | \(0.803359\pi\) | |||||||
\(774\) | −4.26249 | + | 49.8800i | −0.153212 | + | 1.79290i | ||||
\(775\) | 9.47299 | − | 16.4077i | 0.340280 | − | 0.589382i | ||||
\(776\) | 5.36820 | − | 30.4446i | 0.192707 | − | 1.09290i | ||||
\(777\) | −12.0254 | − | 3.77825i | −0.431409 | − | 0.135544i | ||||
\(778\) | 3.44448 | + | 1.25369i | 0.123491 | + | 0.0449469i | ||||
\(779\) | −0.199675 | − | 1.13241i | −0.00715410 | − | 0.0405729i | ||||
\(780\) | −0.194699 | + | 1.49051i | −0.00697134 | + | 0.0533688i | ||||
\(781\) | −2.72741 | − | 2.28857i | −0.0975944 | − | 0.0818914i | ||||
\(782\) | −79.2292 | −2.83323 | ||||||||
\(783\) | −20.9126 | + | 10.9670i | −0.747354 | + | 0.391929i | ||||
\(784\) | −4.69976 | −0.167848 | ||||||||
\(785\) | −12.2386 | − | 10.2694i | −0.436814 | − | 0.366530i | ||||
\(786\) | 44.2612 | − | 18.3859i | 1.57874 | − | 0.655805i | ||||
\(787\) | −1.77423 | − | 10.0622i | −0.0632446 | − | 0.358678i | −0.999963 | − | 0.00859447i | \(-0.997264\pi\) |
0.936718 | − | 0.350084i | \(-0.113847\pi\) | |||||||
\(788\) | −4.42691 | − | 1.61126i | −0.157702 | − | 0.0573989i | ||||
\(789\) | −14.0479 | + | 12.8987i | −0.500120 | + | 0.459205i | ||||
\(790\) | −0.368761 | + | 2.09135i | −0.0131199 | + | 0.0744068i | ||||
\(791\) | −9.79558 | + | 16.9664i | −0.348291 | + | 0.603257i | ||||
\(792\) | −5.26466 | + | 0.471309i | −0.187072 | + | 0.0167473i | ||||
\(793\) | −9.30973 | − | 16.1249i | −0.330598 | − | 0.572613i | ||||
\(794\) | 1.08731 | − | 0.395747i | 0.0385871 | − | 0.0140446i | ||||
\(795\) | 4.00910 | + | 6.27903i | 0.142188 | + | 0.222694i | ||||
\(796\) | 7.07517 | − | 5.93678i | 0.250773 | − | 0.210423i | ||||
\(797\) | 14.7621 | − | 12.3869i | 0.522900 | − | 0.438765i | −0.342742 | − | 0.939430i | \(-0.611356\pi\) |
0.865641 | + | 0.500665i | \(0.166911\pi\) | |||||||
\(798\) | 0.560931 | − | 1.08020i | 0.0198568 | − | 0.0382387i | ||||
\(799\) | 34.1146 | − | 12.4167i | 1.20689 | − | 0.439271i | ||||
\(800\) | −5.07433 | − | 8.78900i | −0.179405 | − | 0.310738i | ||||
\(801\) | 15.3768 | + | 4.08694i | 0.543311 | + | 0.144405i | ||||
\(802\) | 6.98002 | − | 12.0897i | 0.246473 | − | 0.426904i | ||||
\(803\) | 0.842100 | − | 4.77578i | 0.0297171 | − | 0.168534i | ||||
\(804\) | 0.544572 | + | 2.44472i | 0.0192056 | + | 0.0862188i | ||||
\(805\) | −7.38054 | − | 2.68630i | −0.260130 | − | 0.0946796i | ||||
\(806\) | −2.49915 | − | 14.1734i | −0.0880290 | − | 0.499237i | ||||
\(807\) | 30.5896 | + | 23.4232i | 1.07681 | + | 0.824537i | ||||
\(808\) | 7.83809 | + | 6.57694i | 0.275743 | + | 0.231376i | ||||
\(809\) | −1.69357 | −0.0595428 | −0.0297714 | − | 0.999557i | \(-0.509478\pi\) | ||||
−0.0297714 | + | 0.999557i | \(0.509478\pi\) | |||||||
\(810\) | 11.9808 | + | 6.85278i | 0.420963 | + | 0.240782i | ||||
\(811\) | 2.88578 | 0.101333 | 0.0506667 | − | 0.998716i | \(-0.483865\pi\) | ||||
0.0506667 | + | 0.998716i | \(0.483865\pi\) | |||||||
\(812\) | −1.57373 | − | 1.32052i | −0.0552271 | − | 0.0463410i | ||||
\(813\) | 44.6945 | + | 34.2237i | 1.56751 | + | 1.20028i | ||||
\(814\) | −1.43840 | − | 8.15756i | −0.0504158 | − | 0.285922i | ||||
\(815\) | −6.82703 | − | 2.48484i | −0.239141 | − | 0.0870400i | ||||
\(816\) | −11.1661 | − | 50.1277i | −0.390893 | − | 1.75482i | ||||
\(817\) | −0.830446 | + | 4.70969i | −0.0290536 | + | 0.164771i | ||||
\(818\) | 11.7727 | − | 20.3909i | 0.411622 | − | 0.712950i | ||||
\(819\) | 4.14995 | − | 4.16674i | 0.145011 | − | 0.145598i | ||||
\(820\) | 0.567198 | + | 0.982416i | 0.0198074 | + | 0.0343075i | ||||
\(821\) | −19.3320 | + | 7.03627i | −0.674691 | + | 0.245567i | −0.656566 | − | 0.754268i | \(-0.727992\pi\) |
−0.0181248 | + | 0.999836i | \(0.505770\pi\) | |||||||
\(822\) | −15.8454 | + | 30.5139i | −0.552672 | + | 1.06430i | ||||
\(823\) | 2.87678 | − | 2.41391i | 0.100278 | − | 0.0841435i | −0.591270 | − | 0.806474i | \(-0.701373\pi\) |
0.691548 | + | 0.722330i | \(0.256929\pi\) | |||||||
\(824\) | 3.20756 | − | 2.69146i | 0.111741 | − | 0.0937616i | ||||
\(825\) | 2.73779 | + | 4.28792i | 0.0953178 | + | 0.149286i | ||||
\(826\) | 15.0355 | − | 5.47246i | 0.523150 | − | 0.190411i | ||||
\(827\) | 6.84465 | + | 11.8553i | 0.238012 | + | 0.412248i | 0.960144 | − | 0.279507i | \(-0.0901710\pi\) |
−0.722132 | + | 0.691755i | \(0.756838\pi\) | |||||||
\(828\) | 6.25629 | + | 8.89663i | 0.217421 | + | 0.309179i | ||||
\(829\) | −9.11686 | + | 15.7909i | −0.316642 | + | 0.548440i | −0.979785 | − | 0.200053i | \(-0.935889\pi\) |
0.663143 | + | 0.748492i | \(0.269222\pi\) | |||||||
\(830\) | 0.671043 | − | 3.80567i | 0.0232922 | − | 0.132097i | ||||
\(831\) | −36.0646 | + | 33.1141i | −1.25107 | + | 1.14872i | ||||
\(832\) | 10.0700 | + | 3.66517i | 0.349114 | + | 0.127067i | ||||
\(833\) | 1.09554 | + | 6.21311i | 0.0379582 | + | 0.215272i | ||||
\(834\) | 48.2533 | − | 20.0442i | 1.67087 | − | 0.694075i | ||||
\(835\) | 3.91741 | + | 3.28710i | 0.135568 | + | 0.113755i | ||||
\(836\) | 0.147461 | 0.00510003 | ||||||||
\(837\) | −23.8010 | − | 5.20100i | −0.822684 | − | 0.179773i | ||||
\(838\) | −43.5254 | −1.50356 | ||||||||
\(839\) | 13.9124 | + | 11.6739i | 0.480308 | + | 0.403026i | 0.850538 | − | 0.525914i | \(-0.176277\pi\) |
−0.370230 | + | 0.928940i | \(0.620721\pi\) | |||||||
\(840\) | 0.532569 | − | 4.07706i | 0.0183754 | − | 0.140672i | ||||
\(841\) | −1.44957 | − | 8.22093i | −0.0499852 | − | 0.283480i | ||||
\(842\) | −38.0565 | − | 13.8514i | −1.31151 | − | 0.477351i | ||||
\(843\) | −12.6920 | − | 3.98769i | −0.437136 | − | 0.137344i | ||||
\(844\) | 0.0446106 | − | 0.252999i | 0.00153556 | − | 0.00870859i | ||||
\(845\) | 4.48416 | − | 7.76678i | 0.154260 | − | 0.267186i | ||||
\(846\) | −22.1748 | − | 15.4603i | −0.762386 | − | 0.531538i | ||||
\(847\) | −5.23582 | − | 9.06871i | −0.179905 | − | 0.311605i | ||||
\(848\) | −19.3956 | + | 7.05942i | −0.666048 | + | 0.242422i | ||||
\(849\) | 41.4820 | − | 1.85310i | 1.42366 | − | 0.0635981i | ||||
\(850\) | −30.5810 | + | 25.6605i | −1.04892 | + | 0.880147i | ||||
\(851\) | 44.7093 | − | 37.5155i | 1.53261 | − | 1.28602i | ||||
\(852\) | −3.83138 | + | 0.171156i | −0.131261 | + | 0.00586372i | ||||
\(853\) | 8.31747 | − | 3.02731i | 0.284785 | − | 0.103653i | −0.195678 | − | 0.980668i | \(-0.562691\pi\) |
0.480463 | + | 0.877015i | \(0.340469\pi\) | |||||||
\(854\) | −7.43682 | − | 12.8810i | −0.254483 | − | 0.440777i | ||||
\(855\) | 1.08158 | + | 0.754083i | 0.0369894 | + | 0.0257891i | ||||
\(856\) | −3.81858 | + | 6.61397i | −0.130516 | + | 0.226061i | ||||
\(857\) | 9.38199 | − | 53.2079i | 0.320483 | − | 1.81755i | −0.219200 | − | 0.975680i | \(-0.570345\pi\) |
0.539683 | − | 0.841868i | \(-0.318544\pi\) | |||||||
\(858\) | 3.68689 | + | 1.15838i | 0.125868 | + | 0.0395465i | ||||
\(859\) | 4.20150 | + | 1.52922i | 0.143353 | + | 0.0521764i | 0.412700 | − | 0.910867i | \(-0.364586\pi\) |
−0.269347 | + | 0.963043i | \(0.586808\pi\) | |||||||
\(860\) | −0.819263 | − | 4.64627i | −0.0279366 | − | 0.158436i | ||||
\(861\) | 0.574841 | − | 4.40067i | 0.0195905 | − | 0.149974i | ||||
\(862\) | 20.8685 | + | 17.5108i | 0.710785 | + | 0.596419i | ||||
\(863\) | −14.7325 | −0.501501 | −0.250751 | − | 0.968052i | \(-0.580677\pi\) | ||||
−0.250751 | + | 0.968052i | \(0.580677\pi\) | |||||||
\(864\) | −8.78740 | + | 9.64825i | −0.298953 | + | 0.328240i | ||||
\(865\) | −7.67412 | −0.260928 | ||||||||
\(866\) | −0.513308 | − | 0.430716i | −0.0174429 | − | 0.0146363i | ||||
\(867\) | −36.4742 | + | 15.1513i | −1.23873 | + | 0.514564i | ||||
\(868\) | −0.368049 | − | 2.08731i | −0.0124924 | − | 0.0708479i | ||||
\(869\) | 0.945839 | + | 0.344257i | 0.0320854 | + | 0.0116781i | ||||
\(870\) | 8.89157 | − | 8.16415i | 0.301453 | − | 0.276791i | ||||
\(871\) | −1.08887 | + | 6.17531i | −0.0368951 | + | 0.209242i | ||||
\(872\) | −11.3019 | + | 19.5755i | −0.382732 | + | 0.662911i | ||||
\(873\) | 22.0090 | + | 31.2974i | 0.744891 | + | 1.05926i | ||||
\(874\) | 2.81786 | + | 4.88067i | 0.0953154 | + | 0.165091i | ||||
\(875\) | −8.32024 | + | 3.02832i | −0.281276 | + | 0.102376i | ||||
\(876\) | −2.81118 | − | 4.40285i | −0.0949809 | − | 0.148759i | ||||
\(877\) | 1.96933 | − | 1.65246i | 0.0664995 | − | 0.0557997i | −0.608932 | − | 0.793222i | \(-0.708402\pi\) |
0.675432 | + | 0.737423i | \(0.263957\pi\) | |||||||
\(878\) | 25.2552 | − | 21.1916i | 0.852320 | − | 0.715182i | ||||
\(879\) | 9.24426 | − | 17.8019i | 0.311801 | − | 0.600443i | ||||
\(880\) | 3.14386 | − | 1.14427i | 0.105980 | − | 0.0385734i | ||||
\(881\) | 12.7279 | + | 22.0454i | 0.428814 | + | 0.742727i | 0.996768 | − | 0.0803329i | \(-0.0255983\pi\) |
−0.567954 | + | 0.823060i | \(0.692265\pi\) | |||||||
\(882\) | 3.31507 | − | 3.32848i | 0.111624 | − | 0.112076i | ||||
\(883\) | 4.69409 | − | 8.13040i | 0.157969 | − | 0.273610i | −0.776167 | − | 0.630527i | \(-0.782839\pi\) |
0.934136 | + | 0.356917i | \(0.116172\pi\) | |||||||
\(884\) | −0.970813 | + | 5.50575i | −0.0326520 | + | 0.185179i | ||||
\(885\) | 3.76856 | + | 16.9181i | 0.126679 | + | 0.568694i | ||||
\(886\) | 30.1596 | + | 10.9772i | 1.01323 | + | 0.368786i | ||||
\(887\) | −1.03902 | − | 5.89256i | −0.0348868 | − | 0.197853i | 0.962383 | − | 0.271696i | \(-0.0875846\pi\) |
−0.997270 | + | 0.0738434i | \(0.976474\pi\) | |||||||
\(888\) | 24.2586 | + | 18.5754i | 0.814064 | + | 0.623349i | ||||
\(889\) | −9.80300 | − | 8.22570i | −0.328782 | − | 0.275881i | ||||
\(890\) | −8.13338 | −0.272632 | ||||||||
\(891\) | 4.18479 | − | 5.02833i | 0.140196 | − | 0.168455i | ||||
\(892\) | 5.59365 | 0.187289 | ||||||||
\(893\) | −1.97821 | − | 1.65991i | −0.0661981 | − | 0.0555468i | ||||
\(894\) | 39.1399 | + | 29.9704i | 1.30903 | + | 1.00236i | ||||
\(895\) | 2.54323 | + | 14.4234i | 0.0850108 | + | 0.482120i | ||||
\(896\) | 12.7642 | + | 4.64580i | 0.426423 | + | 0.155205i | ||||
\(897\) | 5.92035 | + | 26.5780i | 0.197675 | + | 0.887412i | ||||
\(898\) | −9.17860 | + | 52.0544i | −0.306294 | + | 1.73708i | ||||
\(899\) | −10.6536 | + | 18.4526i | −0.355318 | + | 0.615428i | ||||
\(900\) | 5.29622 | + | 1.40766i | 0.176541 | + | 0.0469221i | ||||
\(901\) | 13.8538 | + | 23.9955i | 0.461538 | + | 0.799408i | ||||
\(902\) | 2.74060 | − | 0.997496i | 0.0912519 | − | 0.0332130i | ||||
\(903\) | −8.50635 | + | 16.3809i | −0.283073 | + | 0.545122i | ||||
\(904\) | 36.3776 | − | 30.5244i | 1.20990 | − | 1.01523i | ||||
\(905\) | 2.14202 | − | 1.79737i | 0.0712031 | − | 0.0597465i | ||||
\(906\) | −15.4631 | − | 24.2182i | −0.513726 | − | 0.804595i | ||||
\(907\) | 12.3315 | − | 4.48830i | 0.409461 | − | 0.149031i | −0.129074 | − | 0.991635i | \(-0.541200\pi\) |
0.538534 | + | 0.842603i | \(0.318978\pi\) | |||||||
\(908\) | 4.56369 | + | 7.90454i | 0.151451 | + | 0.262321i | ||||
\(909\) | −12.6132 | + | 1.12917i | −0.418352 | + | 0.0374522i | ||||
\(910\) | −1.50311 | + | 2.60346i | −0.0498276 | + | 0.0863039i | ||||
\(911\) | 2.71655 | − | 15.4063i | 0.0900034 | − | 0.510434i | −0.906161 | − | 0.422933i | \(-0.861001\pi\) |
0.996164 | − | 0.0875016i | \(-0.0278883\pi\) | |||||||
\(912\) | −2.69083 | + | 2.47069i | −0.0891023 | + | 0.0818128i | ||||
\(913\) | −1.72116 | − | 0.626453i | −0.0569622 | − | 0.0207326i | ||||
\(914\) | 1.21655 | + | 6.89937i | 0.0402398 | + | 0.228211i | ||||
\(915\) | 14.8794 | − | 6.18087i | 0.491899 | − | 0.204333i | ||||
\(916\) | 9.95646 | + | 8.35446i | 0.328971 | + | 0.276039i | ||||
\(917\) | 17.6711 | 0.583551 | ||||||||
\(918\) | 43.3780 | + | 27.4505i | 1.43169 | + | 0.906002i | ||||
\(919\) | −42.5198 | −1.40260 | −0.701299 | − | 0.712867i | \(-0.747396\pi\) | ||||
−0.701299 | + | 0.712867i | \(0.747396\pi\) | |||||||
\(920\) | 14.5840 | + | 12.2374i | 0.480820 | + | 0.403456i | ||||
\(921\) | −0.578639 | + | 4.42975i | −0.0190668 | + | 0.145965i | ||||
\(922\) | −1.36381 | − | 7.73456i | −0.0449147 | − | 0.254724i | ||||
\(923\) | −9.02267 | − | 3.28398i | −0.296985 | − | 0.108094i | ||||
\(924\) | 0.542966 | + | 0.170594i | 0.0178623 | + | 0.00561214i | ||||
\(925\) | 5.10653 | − | 28.9605i | 0.167902 | − | 0.952217i | ||||
\(926\) | −13.0073 | + | 22.5293i | −0.427446 | + | 0.740359i | ||||
\(927\) | −0.441244 | + | 5.16348i | −0.0144924 | + | 0.169591i | ||||
\(928\) | 5.70674 | + | 9.88437i | 0.187333 | + | 0.324470i | ||||
\(929\) | −42.5680 | + | 15.4935i | −1.39661 | + | 0.508324i | −0.927170 | − | 0.374640i | \(-0.877766\pi\) |
−0.469439 | + | 0.882965i | \(0.655544\pi\) | |||||||
\(930\) | 12.4416 | − | 0.555795i | 0.407976 | − | 0.0182252i | ||||
\(931\) | 0.343776 | − | 0.288462i | 0.0112668 | − | 0.00945397i | ||||
\(932\) | −1.08077 | + | 0.906872i | −0.0354017 | + | 0.0297056i | ||||
\(933\) | −48.3855 | + | 2.16149i | −1.58407 | + | 0.0707641i | ||||
\(934\) | 41.6497 | − | 15.1592i | 1.36282 | − | 0.496026i | ||||
\(935\) | −2.24559 | − | 3.88948i | −0.0734386 | − | 0.127199i | ||||
\(936\) | −12.9069 | + | 6.05034i | −0.421875 | + | 0.197762i | ||||
\(937\) | −5.25699 | + | 9.10538i | −0.171738 | + | 0.297460i | −0.939028 | − | 0.343841i | \(-0.888272\pi\) |
0.767289 | + | 0.641301i | \(0.221605\pi\) | |||||||
\(938\) | −0.869817 | + | 4.93298i | −0.0284005 | + | 0.161067i | ||||
\(939\) | −39.8470 | − | 12.5195i | −1.30036 | − | 0.408559i | ||||
\(940\) | 2.39395 | + | 0.871326i | 0.0780820 | + | 0.0284195i | ||||
\(941\) | −3.35699 | − | 19.0385i | −0.109435 | − | 0.620636i | −0.989356 | − | 0.145516i | \(-0.953516\pi\) |
0.879921 | − | 0.475120i | \(-0.157595\pi\) | |||||||
\(942\) | −5.73083 | + | 43.8721i | −0.186721 | + | 1.42943i | ||||
\(943\) | 15.7416 | + | 13.2088i | 0.512616 | + | 0.430136i | ||||
\(944\) | −48.0221 | −1.56299 | ||||||||
\(945\) | 3.11012 | + | 4.02788i | 0.101172 | + | 0.131027i | ||||
\(946\) | −12.1296 | −0.394368 | ||||||||
\(947\) | 45.7010 | + | 38.3477i | 1.48508 | + | 1.24613i | 0.900543 | + | 0.434767i | \(0.143169\pi\) |
0.584540 | + | 0.811365i | \(0.301275\pi\) | |||||||
\(948\) | 1.00128 | − | 0.415929i | 0.0325201 | − | 0.0135087i | ||||
\(949\) | −2.27099 | − | 12.8794i | −0.0737196 | − | 0.418085i | ||||
\(950\) | 2.66837 | + | 0.971208i | 0.0865735 | + | 0.0315102i | ||||
\(951\) | −10.6667 | + | 9.79404i | −0.345891 | + | 0.317593i | ||||
\(952\) | 2.65551 | − | 15.0602i | 0.0860657 | − | 0.488103i | ||||
\(953\) | 6.90591 | − | 11.9614i | 0.223704 | − | 0.387467i | −0.732226 | − | 0.681062i | \(-0.761518\pi\) |
0.955930 | + | 0.293595i | \(0.0948516\pi\) | |||||||
\(954\) | 8.68144 | − | 18.7160i | 0.281072 | − | 0.605951i | ||||
\(955\) | 8.96166 | + | 15.5221i | 0.289993 | + | 0.502282i | ||||
\(956\) | 0.857463 | − | 0.312091i | 0.0277323 | − | 0.0100937i | ||||
\(957\) | −3.07900 | − | 4.82232i | −0.0995301 | − | 0.155884i | ||||
\(958\) | −1.48698 | + | 1.24773i | −0.0480422 | + | 0.0403122i | ||||
\(959\) | −9.71112 | + | 8.14860i | −0.313588 | + | 0.263132i | ||||
\(960\) | −4.27358 | + | 8.22973i | −0.137929 | + | 0.265613i | ||||
\(961\) | 8.47326 | − | 3.08402i | 0.273331 | − | 0.0994844i | ||||
\(962\) | −11.1694 | − | 19.3460i | −0.360117 | − | 0.623741i | ||||
\(963\) | −2.46483 | − | 9.12516i | −0.0794282 | − | 0.294054i | ||||
\(964\) | 0.204356 | − | 0.353956i | 0.00658188 | − | 0.0114001i | ||||
\(965\) | −4.39937 | + | 24.9501i | −0.141621 | + | 0.803171i | ||||
\(966\) | 4.72931 | + | 21.2311i | 0.152163 | + | 0.683099i | ||||
\(967\) | −18.2325 | − | 6.63610i | −0.586319 | − | 0.213403i | 0.0317908 | − | 0.999495i | \(-0.489879\pi\) |
−0.618110 | + | 0.786092i | \(0.712101\pi\) | |||||||
\(968\) | 4.40763 | + | 24.9969i | 0.141667 | + | 0.803432i | ||||
\(969\) | 3.89352 | + | 2.98136i | 0.125078 | + | 0.0957752i | ||||
\(970\) | −14.9830 | − | 12.5722i | −0.481074 | − | 0.403669i | ||||
\(971\) | 17.8545 | 0.572979 | 0.286489 | − | 0.958083i | \(-0.407512\pi\) | ||||
0.286489 | + | 0.958083i | \(0.407512\pi\) | |||||||
\(972\) | −0.342906 | − | 7.03851i | −0.0109987 | − | 0.225760i | ||||
\(973\) | 19.2649 | 0.617605 | ||||||||
\(974\) | 38.3502 | + | 32.1796i | 1.22882 | + | 1.03110i | ||||
\(975\) | 10.8931 | + | 8.34113i | 0.348859 | + | 0.267130i | ||||
\(976\) | 7.75172 | + | 43.9622i | 0.248126 | + | 1.40719i | ||||
\(977\) | 27.8491 | + | 10.1363i | 0.890973 | + | 0.324288i | 0.746630 | − | 0.665240i | \(-0.231671\pi\) |
0.144344 | + | 0.989528i | \(0.453893\pi\) | |||||||
\(978\) | 4.37463 | + | 19.6388i | 0.139885 | + | 0.627981i | ||||
\(979\) | −0.669419 | + | 3.79646i | −0.0213947 | + | 0.121336i | ||||
\(980\) | −0.221362 | + | 0.383410i | −0.00707115 | + | 0.0122476i | ||||
\(981\) | −7.29523 | − | 27.0080i | −0.232919 | − | 0.862298i | ||||
\(982\) | −19.1170 | − | 33.1117i | −0.610049 | − | 1.05664i | ||||
\(983\) | −2.83885 | + | 1.03326i | −0.0905454 | + | 0.0329558i | −0.386896 | − | 0.922124i | \(-0.626453\pi\) |
0.296350 | + | 0.955079i | \(0.404230\pi\) | |||||||
\(984\) | −4.95765 | + | 9.54706i | −0.158044 | + | 0.304349i | ||||
\(985\) | 7.81838 | − | 6.56040i | 0.249114 | − | 0.209032i | ||||
\(986\) | 34.3923 | − | 28.8585i | 1.09527 | − | 0.919043i | ||||
\(987\) | −5.36365 | − | 8.40053i | −0.170727 | − | 0.267392i | ||||
\(988\) | 0.373693 | − | 0.136013i | 0.0118887 | − | 0.00432715i | ||||
\(989\) | −42.7319 | − | 74.0138i | −1.35880 | − | 2.35350i | ||||
\(990\) | −1.40719 | + | 3.03370i | −0.0447234 | + | 0.0964173i | ||||
\(991\) | 19.0275 | − | 32.9567i | 0.604430 | − | 1.04690i | −0.387712 | − | 0.921781i | \(-0.626734\pi\) |
0.992141 | − | 0.125122i | \(-0.0399323\pi\) | |||||||
\(992\) | −2.04479 | + | 11.5966i | −0.0649220 | + | 0.368191i | ||||
\(993\) | 40.9836 | − | 37.6307i | 1.30057 | − | 1.19417i | ||||
\(994\) | −7.20751 | − | 2.62332i | −0.228608 | − | 0.0832067i | ||||
\(995\) | 3.47457 | + | 19.7053i | 0.110151 | + | 0.624699i | ||||
\(996\) | −1.82205 | + | 0.756875i | −0.0577340 | + | 0.0239825i | ||||
\(997\) | 22.4716 | + | 18.8559i | 0.711683 | + | 0.597173i | 0.925071 | − | 0.379795i | \(-0.124005\pi\) |
−0.213388 | + | 0.976968i | \(0.568450\pi\) | |||||||
\(998\) | 18.2779 | 0.578575 | ||||||||
\(999\) | −37.4763 | + | 5.04934i | −1.18570 | + | 0.159754i |
(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 | 189.2.v.b.43.7 | yes | 54 | |
3.2 | odd | 2 | 567.2.v.a.127.3 | 54 | |||
27.5 | odd | 18 | 567.2.v.a.442.3 | 54 | |||
27.7 | even | 9 | 5103.2.a.g.1.21 | 27 | |||
27.20 | odd | 18 | 5103.2.a.h.1.7 | 27 | |||
27.22 | even | 9 | inner | 189.2.v.b.22.7 | ✓ | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.v.b.22.7 | ✓ | 54 | 27.22 | even | 9 | inner | |
189.2.v.b.43.7 | yes | 54 | 1.1 | even | 1 | trivial | |
567.2.v.a.127.3 | 54 | 3.2 | odd | 2 | |||
567.2.v.a.442.3 | 54 | 27.5 | odd | 18 | |||
5103.2.a.g.1.21 | 27 | 27.7 | even | 9 | |||
5103.2.a.h.1.7 | 27 | 27.20 | odd | 18 |