Properties

Label 552.2.t.b.19.6
Level $552$
Weight $2$
Character 552.19
Analytic conductor $4.408$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [552,2,Mod(19,552)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(552, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 11, 0, 15]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("552.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.t (of order \(22\), degree \(10\), 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: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 19.6
Character \(\chi\) \(=\) 552.19
Dual form 552.2.t.b.523.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.05559 + 0.941132i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(0.228541 - 1.98690i) q^{4} +(-3.23381 - 2.07824i) q^{5} +(0.747684 - 1.20040i) q^{6} +(-0.275643 - 1.91714i) q^{7} +(1.62869 + 2.31244i) q^{8} +(0.841254 - 0.540641i) q^{9} +O(q^{10})\) \(q+(-1.05559 + 0.941132i) q^{2} +(-0.959493 + 0.281733i) q^{3} +(0.228541 - 1.98690i) q^{4} +(-3.23381 - 2.07824i) q^{5} +(0.747684 - 1.20040i) q^{6} +(-0.275643 - 1.91714i) q^{7} +(1.62869 + 2.31244i) q^{8} +(0.841254 - 0.540641i) q^{9} +(5.36947 - 0.849668i) q^{10} +(-2.29334 - 1.04733i) q^{11} +(0.340491 + 1.97080i) q^{12} +(2.30395 + 0.331257i) q^{13} +(2.09525 + 1.76430i) q^{14} +(3.68832 + 1.08299i) q^{15} +(-3.89554 - 0.908175i) q^{16} +(-2.46916 + 2.13954i) q^{17} +(-0.379204 + 1.36243i) q^{18} +(-0.306906 - 0.265935i) q^{19} +(-4.86831 + 5.95029i) q^{20} +(0.804599 + 1.76183i) q^{21} +(3.40651 - 1.05278i) q^{22} +(4.60049 - 1.35480i) q^{23} +(-2.21421 - 1.75991i) q^{24} +(4.06134 + 8.89310i) q^{25} +(-2.74378 + 1.81865i) q^{26} +(-0.654861 + 0.755750i) q^{27} +(-3.87216 + 0.109531i) q^{28} +(-7.02135 + 6.08403i) q^{29} +(-4.91259 + 2.32801i) q^{30} +(-2.22189 + 7.56707i) q^{31} +(4.96680 - 2.70756i) q^{32} +(2.49551 + 0.358800i) q^{33} +(0.592833 - 4.58229i) q^{34} +(-3.09290 + 6.77252i) q^{35} +(-0.881938 - 1.79504i) q^{36} +(-1.88606 + 1.21210i) q^{37} +(0.574247 - 0.00812014i) q^{38} +(-2.30395 + 0.331257i) q^{39} +(-0.461062 - 10.8628i) q^{40} +(2.82928 + 1.81827i) q^{41} +(-2.50744 - 1.10253i) q^{42} +(-1.91148 - 6.50991i) q^{43} +(-2.60507 + 4.31728i) q^{44} -3.84403 q^{45} +(-3.58119 + 5.75978i) q^{46} -3.08175i q^{47} +(3.99360 - 0.226112i) q^{48} +(3.11700 - 0.915234i) q^{49} +(-12.6567 - 5.56521i) q^{50} +(1.76637 - 2.74852i) q^{51} +(1.18472 - 4.50200i) q^{52} +(0.622949 + 4.33270i) q^{53} +(-0.0199957 - 1.41407i) q^{54} +(5.23961 + 8.15299i) q^{55} +(3.98433 - 3.75984i) q^{56} +(0.369396 + 0.168698i) q^{57} +(1.68579 - 13.0303i) q^{58} +(-0.0502711 + 0.349643i) q^{59} +(2.99472 - 7.08082i) q^{60} +(10.5907 + 3.10972i) q^{61} +(-4.77621 - 10.0788i) q^{62} +(-1.26837 - 1.46378i) q^{63} +(-2.69474 + 7.53249i) q^{64} +(-6.76208 - 5.85938i) q^{65} +(-2.97192 + 1.96986i) q^{66} +(-13.4574 + 6.14579i) q^{67} +(3.68675 + 5.39495i) q^{68} +(-4.03245 + 2.59603i) q^{69} +(-3.10899 - 10.0598i) q^{70} +(-7.51135 + 3.43032i) q^{71} +(2.62034 + 1.06481i) q^{72} +(-3.55874 + 4.10700i) q^{73} +(0.850162 - 3.05451i) q^{74} +(-6.40231 - 7.38866i) q^{75} +(-0.598527 + 0.549013i) q^{76} +(-1.37574 + 4.68535i) q^{77} +(2.12027 - 2.51799i) q^{78} +(1.11540 - 7.75775i) q^{79} +(10.7100 + 11.0327i) q^{80} +(0.415415 - 0.909632i) q^{81} +(-4.69779 + 0.743381i) q^{82} +(-0.783096 - 1.21852i) q^{83} +(3.68445 - 1.19601i) q^{84} +(12.4313 - 1.78735i) q^{85} +(8.14443 + 5.07284i) q^{86} +(5.02286 - 7.81573i) q^{87} +(-1.31325 - 7.00899i) q^{88} +(4.71679 + 16.0639i) q^{89} +(4.05772 - 3.61774i) q^{90} -4.50830i q^{91} +(-1.64045 - 9.45034i) q^{92} -7.88653i q^{93} +(2.90034 + 3.25307i) q^{94} +(0.439796 + 1.49781i) q^{95} +(-4.00281 + 3.99719i) q^{96} +(-4.14896 + 6.45590i) q^{97} +(-2.42892 + 3.89962i) q^{98} +(-2.49551 + 0.358800i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q + 4 q^{2} - 24 q^{3} - 4 q^{4} - 7 q^{6} + 4 q^{8} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q + 4 q^{2} - 24 q^{3} - 4 q^{4} - 7 q^{6} + 4 q^{8} - 24 q^{9} - 4 q^{12} - 4 q^{16} - 44 q^{17} + 4 q^{18} + 55 q^{20} + 4 q^{24} - 24 q^{25} - 24 q^{27} + 4 q^{32} - 55 q^{34} + 7 q^{36} + 22 q^{38} + 11 q^{40} - 44 q^{42} + 77 q^{44} - 48 q^{46} + 51 q^{48} + 8 q^{49} - 33 q^{50} + 165 q^{52} - 7 q^{54} - 22 q^{56} - 59 q^{58} + 11 q^{60} + 29 q^{62} - 4 q^{64} + 55 q^{66} + 132 q^{70} + 4 q^{72} - 144 q^{73} - 66 q^{74} - 24 q^{75} - 55 q^{76} - 24 q^{81} - 26 q^{82} - 44 q^{84} - 110 q^{86} - 198 q^{88} - 47 q^{92} - 73 q^{94} + 4 q^{96} + 53 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{15}{22}\right)\) \(1\) \(-1\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.05559 + 0.941132i −0.746415 + 0.665481i
\(3\) −0.959493 + 0.281733i −0.553964 + 0.162658i
\(4\) 0.228541 1.98690i 0.114270 0.993450i
\(5\) −3.23381 2.07824i −1.44620 0.929418i −0.999395 0.0347877i \(-0.988925\pi\)
−0.446808 0.894630i \(-0.647439\pi\)
\(6\) 0.747684 1.20040i 0.305241 0.490063i
\(7\) −0.275643 1.91714i −0.104183 0.724611i −0.973222 0.229867i \(-0.926171\pi\)
0.869039 0.494744i \(-0.164738\pi\)
\(8\) 1.62869 + 2.31244i 0.575829 + 0.817570i
\(9\) 0.841254 0.540641i 0.280418 0.180214i
\(10\) 5.36947 0.849668i 1.69798 0.268689i
\(11\) −2.29334 1.04733i −0.691468 0.315783i 0.0385053 0.999258i \(-0.487740\pi\)
−0.729973 + 0.683475i \(0.760468\pi\)
\(12\) 0.340491 + 1.97080i 0.0982913 + 0.568922i
\(13\) 2.30395 + 0.331257i 0.639000 + 0.0918743i 0.454197 0.890901i \(-0.349926\pi\)
0.184803 + 0.982776i \(0.440835\pi\)
\(14\) 2.09525 + 1.76430i 0.559979 + 0.471529i
\(15\) 3.68832 + 1.08299i 0.952321 + 0.279627i
\(16\) −3.89554 0.908175i −0.973885 0.227044i
\(17\) −2.46916 + 2.13954i −0.598860 + 0.518915i −0.900699 0.434444i \(-0.856945\pi\)
0.301839 + 0.953359i \(0.402400\pi\)
\(18\) −0.379204 + 1.36243i −0.0893793 + 0.321127i
\(19\) −0.306906 0.265935i −0.0704090 0.0610097i 0.618945 0.785434i \(-0.287560\pi\)
−0.689354 + 0.724424i \(0.742106\pi\)
\(20\) −4.86831 + 5.95029i −1.08859 + 1.33052i
\(21\) 0.804599 + 1.76183i 0.175578 + 0.384462i
\(22\) 3.40651 1.05278i 0.726270 0.224454i
\(23\) 4.60049 1.35480i 0.959269 0.282495i
\(24\) −2.21421 1.75991i −0.451973 0.359241i
\(25\) 4.06134 + 8.89310i 0.812269 + 1.77862i
\(26\) −2.74378 + 1.81865i −0.538099 + 0.356666i
\(27\) −0.654861 + 0.755750i −0.126028 + 0.145444i
\(28\) −3.87216 + 0.109531i −0.731770 + 0.0206993i
\(29\) −7.02135 + 6.08403i −1.30383 + 1.12978i −0.320640 + 0.947201i \(0.603898\pi\)
−0.983192 + 0.182575i \(0.941557\pi\)
\(30\) −4.91259 + 2.32801i −0.896913 + 0.425034i
\(31\) −2.22189 + 7.56707i −0.399064 + 1.35909i 0.477851 + 0.878441i \(0.341416\pi\)
−0.876915 + 0.480646i \(0.840402\pi\)
\(32\) 4.96680 2.70756i 0.878015 0.478633i
\(33\) 2.49551 + 0.358800i 0.434413 + 0.0624591i
\(34\) 0.592833 4.58229i 0.101670 0.785856i
\(35\) −3.09290 + 6.77252i −0.522796 + 1.14476i
\(36\) −0.881938 1.79504i −0.146990 0.299174i
\(37\) −1.88606 + 1.21210i −0.310066 + 0.199267i −0.686414 0.727211i \(-0.740816\pi\)
0.376348 + 0.926478i \(0.377180\pi\)
\(38\) 0.574247 0.00812014i 0.0931551 0.00131726i
\(39\) −2.30395 + 0.331257i −0.368927 + 0.0530436i
\(40\) −0.461062 10.8628i −0.0729003 1.71756i
\(41\) 2.82928 + 1.81827i 0.441860 + 0.283966i 0.742594 0.669742i \(-0.233595\pi\)
−0.300734 + 0.953708i \(0.597232\pi\)
\(42\) −2.50744 1.10253i −0.386906 0.170124i
\(43\) −1.91148 6.50991i −0.291498 0.992752i −0.966869 0.255274i \(-0.917834\pi\)
0.675370 0.737479i \(-0.263984\pi\)
\(44\) −2.60507 + 4.31728i −0.392729 + 0.650854i
\(45\) −3.84403 −0.573035
\(46\) −3.58119 + 5.75978i −0.528018 + 0.849233i
\(47\) 3.08175i 0.449520i −0.974414 0.224760i \(-0.927840\pi\)
0.974414 0.224760i \(-0.0721598\pi\)
\(48\) 3.99360 0.226112i 0.576427 0.0326365i
\(49\) 3.11700 0.915234i 0.445286 0.130748i
\(50\) −12.6567 5.56521i −1.78993 0.787039i
\(51\) 1.76637 2.74852i 0.247341 0.384870i
\(52\) 1.18472 4.50200i 0.164291 0.624316i
\(53\) 0.622949 + 4.33270i 0.0855686 + 0.595143i 0.986817 + 0.161840i \(0.0517428\pi\)
−0.901248 + 0.433303i \(0.857348\pi\)
\(54\) −0.0199957 1.41407i −0.00272107 0.192431i
\(55\) 5.23961 + 8.15299i 0.706509 + 1.09935i
\(56\) 3.98433 3.75984i 0.532429 0.502429i
\(57\) 0.369396 + 0.168698i 0.0489277 + 0.0223445i
\(58\) 1.68579 13.0303i 0.221355 1.71096i
\(59\) −0.0502711 + 0.349643i −0.00654473 + 0.0455196i −0.992832 0.119517i \(-0.961865\pi\)
0.986287 + 0.165037i \(0.0527744\pi\)
\(60\) 2.99472 7.08082i 0.386617 0.914130i
\(61\) 10.5907 + 3.10972i 1.35600 + 0.398158i 0.877352 0.479847i \(-0.159308\pi\)
0.478651 + 0.878005i \(0.341126\pi\)
\(62\) −4.77621 10.0788i −0.606579 1.28001i
\(63\) −1.26837 1.46378i −0.159800 0.184419i
\(64\) −2.69474 + 7.53249i −0.336843 + 0.941561i
\(65\) −6.76208 5.85938i −0.838733 0.726766i
\(66\) −2.97192 + 1.96986i −0.365818 + 0.242473i
\(67\) −13.4574 + 6.14579i −1.64408 + 0.750828i −0.999901 0.0140437i \(-0.995530\pi\)
−0.644183 + 0.764872i \(0.722802\pi\)
\(68\) 3.68675 + 5.39495i 0.447084 + 0.654234i
\(69\) −4.03245 + 2.59603i −0.485450 + 0.312525i
\(70\) −3.10899 10.0598i −0.371596 1.20238i
\(71\) −7.51135 + 3.43032i −0.891433 + 0.407104i −0.807844 0.589397i \(-0.799366\pi\)
−0.0835890 + 0.996500i \(0.526638\pi\)
\(72\) 2.62034 + 1.06481i 0.308810 + 0.125489i
\(73\) −3.55874 + 4.10700i −0.416518 + 0.480688i −0.924773 0.380519i \(-0.875745\pi\)
0.508255 + 0.861207i \(0.330291\pi\)
\(74\) 0.850162 3.05451i 0.0988293 0.355079i
\(75\) −6.40231 7.38866i −0.739275 0.853168i
\(76\) −0.598527 + 0.549013i −0.0686557 + 0.0629762i
\(77\) −1.37574 + 4.68535i −0.156780 + 0.533945i
\(78\) 2.12027 2.51799i 0.240073 0.285106i
\(79\) 1.11540 7.75775i 0.125492 0.872815i −0.825677 0.564144i \(-0.809206\pi\)
0.951169 0.308672i \(-0.0998845\pi\)
\(80\) 10.7100 + 11.0327i 1.19742 + 1.23350i
\(81\) 0.415415 0.909632i 0.0461572 0.101070i
\(82\) −4.69779 + 0.743381i −0.518785 + 0.0820927i
\(83\) −0.783096 1.21852i −0.0859559 0.133750i 0.795613 0.605805i \(-0.207149\pi\)
−0.881569 + 0.472055i \(0.843512\pi\)
\(84\) 3.68445 1.19601i 0.402007 0.130495i
\(85\) 12.4313 1.78735i 1.34836 0.193865i
\(86\) 8.14443 + 5.07284i 0.878236 + 0.547018i
\(87\) 5.02286 7.81573i 0.538508 0.837934i
\(88\) −1.31325 7.00899i −0.139992 0.747161i
\(89\) 4.71679 + 16.0639i 0.499979 + 1.70277i 0.692446 + 0.721469i \(0.256533\pi\)
−0.192467 + 0.981303i \(0.561649\pi\)
\(90\) 4.05772 3.61774i 0.427722 0.381344i
\(91\) 4.50830i 0.472598i
\(92\) −1.64045 9.45034i −0.171028 0.985266i
\(93\) 7.88653i 0.817796i
\(94\) 2.90034 + 3.25307i 0.299147 + 0.335528i
\(95\) 0.439796 + 1.49781i 0.0451221 + 0.153672i
\(96\) −4.00281 + 3.99719i −0.408535 + 0.407962i
\(97\) −4.14896 + 6.45590i −0.421263 + 0.655498i −0.985414 0.170174i \(-0.945567\pi\)
0.564151 + 0.825671i \(0.309203\pi\)
\(98\) −2.42892 + 3.89962i −0.245358 + 0.393921i
\(99\) −2.49551 + 0.358800i −0.250808 + 0.0360608i
\(100\) 18.5979 6.03704i 1.85979 0.603704i
\(101\) 4.55982 + 7.09522i 0.453719 + 0.706001i 0.990468 0.137741i \(-0.0439842\pi\)
−0.536749 + 0.843742i \(0.680348\pi\)
\(102\) 0.722161 + 4.56369i 0.0715046 + 0.451873i
\(103\) 0.0825623 0.180786i 0.00813511 0.0178134i −0.905521 0.424302i \(-0.860520\pi\)
0.913656 + 0.406488i \(0.133247\pi\)
\(104\) 2.98640 + 5.86725i 0.292841 + 0.575331i
\(105\) 1.05958 7.36955i 0.103405 0.719195i
\(106\) −4.73523 3.98728i −0.459926 0.387279i
\(107\) 4.82083 16.4183i 0.466048 1.58721i −0.306250 0.951951i \(-0.599074\pi\)
0.772297 0.635261i \(-0.219108\pi\)
\(108\) 1.35194 + 1.47386i 0.130090 + 0.141822i
\(109\) 13.0609 + 15.0731i 1.25101 + 1.44374i 0.849244 + 0.528001i \(0.177058\pi\)
0.401767 + 0.915742i \(0.368396\pi\)
\(110\) −13.2039 3.67505i −1.25894 0.350402i
\(111\) 1.46817 1.69436i 0.139353 0.160822i
\(112\) −0.667321 + 7.71863i −0.0630559 + 0.729342i
\(113\) 4.34029 1.98214i 0.408300 0.186464i −0.200668 0.979659i \(-0.564311\pi\)
0.608968 + 0.793195i \(0.291584\pi\)
\(114\) −0.548698 + 0.169575i −0.0513903 + 0.0158822i
\(115\) −17.6927 5.17978i −1.64985 0.483017i
\(116\) 10.4837 + 15.3412i 0.973387 + 1.42439i
\(117\) 2.11729 0.966936i 0.195744 0.0893932i
\(118\) −0.275995 0.416391i −0.0254074 0.0383319i
\(119\) 4.78241 + 4.14398i 0.438403 + 0.379878i
\(120\) 3.50279 + 10.2929i 0.319759 + 0.939606i
\(121\) −3.04096 3.50946i −0.276451 0.319042i
\(122\) −14.1061 + 6.68468i −1.27711 + 0.605203i
\(123\) −3.22694 0.947516i −0.290964 0.0854346i
\(124\) 14.5272 + 6.14406i 1.30458 + 0.551753i
\(125\) 2.61310 18.1745i 0.233722 1.62558i
\(126\) 2.71649 + 0.351445i 0.242004 + 0.0313092i
\(127\) 1.86703 + 0.852646i 0.165672 + 0.0756601i 0.496525 0.868022i \(-0.334609\pi\)
−0.330853 + 0.943682i \(0.607336\pi\)
\(128\) −4.24452 10.4873i −0.375166 0.926957i
\(129\) 3.66811 + 5.70769i 0.322959 + 0.502534i
\(130\) 12.6524 0.178912i 1.10969 0.0156916i
\(131\) 1.96781 + 13.6864i 0.171928 + 1.19579i 0.874805 + 0.484476i \(0.160990\pi\)
−0.702876 + 0.711312i \(0.748101\pi\)
\(132\) 1.28323 4.87633i 0.111691 0.424430i
\(133\) −0.425239 + 0.661684i −0.0368729 + 0.0573753i
\(134\) 8.42150 19.1526i 0.727507 1.65454i
\(135\) 3.68832 1.08299i 0.317440 0.0932089i
\(136\) −8.96906 2.22514i −0.769091 0.190804i
\(137\) 7.59720i 0.649073i −0.945873 0.324536i \(-0.894792\pi\)
0.945873 0.324536i \(-0.105208\pi\)
\(138\) 1.81341 6.53541i 0.154368 0.556331i
\(139\) −4.69599 −0.398309 −0.199154 0.979968i \(-0.563820\pi\)
−0.199154 + 0.979968i \(0.563820\pi\)
\(140\) 12.7495 + 7.69309i 1.07753 + 0.650185i
\(141\) 0.868230 + 2.95692i 0.0731182 + 0.249018i
\(142\) 4.70052 10.6902i 0.394459 0.897100i
\(143\) −4.93680 3.17269i −0.412836 0.265313i
\(144\) −3.76813 + 1.34208i −0.314011 + 0.111840i
\(145\) 35.3498 5.08253i 2.93564 0.422081i
\(146\) −0.108663 7.68455i −0.00899305 0.635978i
\(147\) −2.73289 + 1.75632i −0.225405 + 0.144859i
\(148\) 1.97727 + 4.02442i 0.162531 + 0.330805i
\(149\) 5.41807 11.8639i 0.443865 0.971930i −0.547007 0.837128i \(-0.684233\pi\)
0.990873 0.134802i \(-0.0430398\pi\)
\(150\) 13.7119 + 1.77398i 1.11957 + 0.144844i
\(151\) −10.6595 1.53260i −0.867458 0.124722i −0.305805 0.952094i \(-0.598925\pi\)
−0.561653 + 0.827373i \(0.689834\pi\)
\(152\) 0.115105 1.14283i 0.00933623 0.0926954i
\(153\) −0.920469 + 3.13483i −0.0744155 + 0.253436i
\(154\) −2.95731 6.24056i −0.238307 0.502879i
\(155\) 22.9114 19.8528i 1.84029 1.59462i
\(156\) 0.131630 + 4.65341i 0.0105388 + 0.372571i
\(157\) 3.58682 4.13941i 0.286260 0.330361i −0.594347 0.804208i \(-0.702590\pi\)
0.880607 + 0.473847i \(0.157135\pi\)
\(158\) 6.12367 + 9.23874i 0.487173 + 0.734995i
\(159\) −1.81838 3.98169i −0.144207 0.315769i
\(160\) −21.6886 1.56651i −1.71464 0.123843i
\(161\) −3.86543 8.44635i −0.304639 0.665666i
\(162\) 0.417576 + 1.35116i 0.0328079 + 0.106157i
\(163\) −2.05621 4.50248i −0.161055 0.352661i 0.811850 0.583866i \(-0.198461\pi\)
−0.972905 + 0.231205i \(0.925733\pi\)
\(164\) 4.25932 5.20595i 0.332597 0.406516i
\(165\) −7.32433 6.34657i −0.570198 0.494080i
\(166\) 1.97342 + 0.549262i 0.153167 + 0.0426310i
\(167\) −9.31718 + 8.07338i −0.720985 + 0.624737i −0.936052 0.351862i \(-0.885548\pi\)
0.215067 + 0.976599i \(0.431003\pi\)
\(168\) −2.76367 + 4.73005i −0.213222 + 0.364931i
\(169\) −7.27497 2.13612i −0.559613 0.164317i
\(170\) −11.4402 + 13.5862i −0.877424 + 1.04201i
\(171\) −0.401961 0.0577932i −0.0307387 0.00441956i
\(172\) −13.3714 + 2.31014i −1.01956 + 0.176147i
\(173\) −11.5582 5.27843i −0.878750 0.401312i −0.0756352 0.997136i \(-0.524098\pi\)
−0.803115 + 0.595824i \(0.796826\pi\)
\(174\) 2.05355 + 12.9774i 0.155679 + 0.983813i
\(175\) 15.9298 10.2375i 1.20418 0.773882i
\(176\) 7.98263 + 6.16268i 0.601714 + 0.464530i
\(177\) −0.0502711 0.349643i −0.00377860 0.0262808i
\(178\) −20.0973 12.5178i −1.50635 0.938248i
\(179\) 14.0769 + 9.04668i 1.05216 + 0.676180i 0.947964 0.318377i \(-0.103138\pi\)
0.104193 + 0.994557i \(0.466774\pi\)
\(180\) −0.878518 + 7.63771i −0.0654809 + 0.569281i
\(181\) −21.0629 + 6.18463i −1.56559 + 0.459700i −0.945715 0.324997i \(-0.894637\pi\)
−0.619879 + 0.784697i \(0.712818\pi\)
\(182\) 4.24290 + 4.75892i 0.314505 + 0.352754i
\(183\) −11.0378 −0.815940
\(184\) 10.6257 + 8.43181i 0.783334 + 0.621601i
\(185\) 8.61818 0.633621
\(186\) 7.42227 + 8.32495i 0.544227 + 0.610415i
\(187\) 7.90345 2.32066i 0.577957 0.169704i
\(188\) −6.12313 0.704306i −0.446575 0.0513668i
\(189\) 1.62939 + 1.04714i 0.118520 + 0.0761685i
\(190\) −1.87388 1.16716i −0.135945 0.0846750i
\(191\) −2.05640 14.3026i −0.148796 1.03490i −0.918194 0.396130i \(-0.870353\pi\)
0.769398 0.638769i \(-0.220556\pi\)
\(192\) 0.463438 7.98657i 0.0334458 0.576381i
\(193\) −20.3700 + 13.0910i −1.46627 + 0.942311i −0.467982 + 0.883738i \(0.655019\pi\)
−0.998283 + 0.0585735i \(0.981345\pi\)
\(194\) −1.69626 10.7195i −0.121784 0.769616i
\(195\) 8.13895 + 3.71693i 0.582842 + 0.266175i
\(196\) −1.10612 6.40233i −0.0790083 0.457309i
\(197\) −4.67671 0.672409i −0.333202 0.0479072i −0.0263163 0.999654i \(-0.508378\pi\)
−0.306885 + 0.951747i \(0.599287\pi\)
\(198\) 2.29656 2.72735i 0.163209 0.193825i
\(199\) 5.85970 + 1.72056i 0.415383 + 0.121967i 0.482745 0.875761i \(-0.339640\pi\)
−0.0673616 + 0.997729i \(0.521458\pi\)
\(200\) −13.9501 + 23.8757i −0.986420 + 1.68827i
\(201\) 11.1808 9.68823i 0.788634 0.683355i
\(202\) −11.4908 3.19825i −0.808493 0.225028i
\(203\) 13.5993 + 11.7839i 0.954486 + 0.827067i
\(204\) −5.05735 4.13774i −0.354085 0.289700i
\(205\) −5.37055 11.7599i −0.375095 0.821344i
\(206\) 0.0829918 + 0.268538i 0.00578231 + 0.0187099i
\(207\) 3.13772 3.62694i 0.218087 0.252090i
\(208\) −8.67427 3.38281i −0.601452 0.234556i
\(209\) 0.425316 + 0.931312i 0.0294197 + 0.0644202i
\(210\) 5.81724 + 8.77644i 0.401428 + 0.605632i
\(211\) −7.39629 + 8.53577i −0.509181 + 0.587627i −0.950889 0.309533i \(-0.899827\pi\)
0.441708 + 0.897159i \(0.354373\pi\)
\(212\) 8.75102 0.247537i 0.601022 0.0170009i
\(213\) 6.24065 5.40756i 0.427602 0.370520i
\(214\) 10.3629 + 21.8680i 0.708395 + 1.49486i
\(215\) −7.34780 + 25.0243i −0.501116 + 1.70664i
\(216\) −2.81419 0.283444i −0.191481 0.0192859i
\(217\) 15.1196 + 2.17387i 1.02639 + 0.147572i
\(218\) −27.9728 3.61897i −1.89456 0.245108i
\(219\) 2.25751 4.94325i 0.152548 0.334034i
\(220\) 17.3966 8.54728i 1.17288 0.576258i
\(221\) −6.39756 + 4.11146i −0.430346 + 0.276567i
\(222\) 0.0448296 + 3.17030i 0.00300877 + 0.212776i
\(223\) 25.2151 3.62539i 1.68853 0.242774i 0.769977 0.638072i \(-0.220268\pi\)
0.918553 + 0.395298i \(0.129359\pi\)
\(224\) −6.55983 8.77575i −0.438297 0.586354i
\(225\) 8.22459 + 5.28562i 0.548306 + 0.352375i
\(226\) −2.71611 + 6.17712i −0.180673 + 0.410896i
\(227\) 4.57119 + 15.5680i 0.303400 + 1.03329i 0.960221 + 0.279240i \(0.0900825\pi\)
−0.656821 + 0.754046i \(0.728099\pi\)
\(228\) 0.419607 0.695399i 0.0277892 0.0460539i
\(229\) −24.0052 −1.58631 −0.793153 0.609022i \(-0.791562\pi\)
−0.793153 + 0.609022i \(0.791562\pi\)
\(230\) 23.5511 11.1834i 1.55291 0.737414i
\(231\) 4.88315i 0.321288i
\(232\) −25.5045 6.32743i −1.67446 0.415416i
\(233\) −16.7764 + 4.92600i −1.09906 + 0.322713i −0.780479 0.625182i \(-0.785025\pi\)
−0.318581 + 0.947896i \(0.603206\pi\)
\(234\) −1.32498 + 3.01334i −0.0866167 + 0.196988i
\(235\) −6.40463 + 9.96579i −0.417792 + 0.650097i
\(236\) 0.683216 + 0.179791i 0.0444736 + 0.0117034i
\(237\) 1.11540 + 7.75775i 0.0724528 + 0.503920i
\(238\) −8.94831 + 0.126534i −0.580032 + 0.00820196i
\(239\) −5.08682 7.91525i −0.329039 0.511995i 0.636837 0.770998i \(-0.280242\pi\)
−0.965876 + 0.259003i \(0.916606\pi\)
\(240\) −13.3845 7.56847i −0.863963 0.488543i
\(241\) −20.0496 9.15633i −1.29151 0.589811i −0.353177 0.935556i \(-0.614899\pi\)
−0.938328 + 0.345746i \(0.887626\pi\)
\(242\) 6.51288 + 0.842602i 0.418664 + 0.0541645i
\(243\) −0.142315 + 0.989821i −0.00912950 + 0.0634971i
\(244\) 8.59911 20.3320i 0.550501 1.30162i
\(245\) −11.9819 3.51819i −0.765492 0.224769i
\(246\) 4.29807 2.03679i 0.274035 0.129861i
\(247\) −0.619001 0.714365i −0.0393861 0.0454540i
\(248\) −21.1172 + 7.18642i −1.34094 + 0.456338i
\(249\) 1.09467 + 0.948538i 0.0693720 + 0.0601112i
\(250\) 14.3462 + 21.6441i 0.907335 + 1.36889i
\(251\) −19.7894 + 9.03751i −1.24909 + 0.570443i −0.926571 0.376119i \(-0.877258\pi\)
−0.322523 + 0.946561i \(0.604531\pi\)
\(252\) −3.19825 + 2.18559i −0.201471 + 0.137679i
\(253\) −11.9694 1.71124i −0.752511 0.107585i
\(254\) −2.77327 + 0.857081i −0.174011 + 0.0537780i
\(255\) −11.4242 + 5.21725i −0.715410 + 0.326717i
\(256\) 14.3504 + 7.07566i 0.896902 + 0.442229i
\(257\) 14.7899 17.0685i 0.922569 1.06470i −0.0751487 0.997172i \(-0.523943\pi\)
0.997717 0.0675286i \(-0.0215114\pi\)
\(258\) −9.24371 2.57280i −0.575488 0.160176i
\(259\) 2.84364 + 3.28173i 0.176695 + 0.203917i
\(260\) −13.1874 + 12.0965i −0.817848 + 0.750191i
\(261\) −2.61746 + 8.91424i −0.162017 + 0.551778i
\(262\) −14.9579 12.5953i −0.924104 0.778139i
\(263\) 2.54736 17.7173i 0.157077 1.09249i −0.746908 0.664928i \(-0.768462\pi\)
0.903984 0.427565i \(-0.140629\pi\)
\(264\) 3.23471 + 6.35509i 0.199083 + 0.391129i
\(265\) 6.98991 15.3058i 0.429387 0.940226i
\(266\) −0.173855 1.09867i −0.0106597 0.0673640i
\(267\) −9.05146 14.0843i −0.553940 0.861948i
\(268\) 9.13550 + 28.1431i 0.558040 + 1.71911i
\(269\) 21.0622 3.02829i 1.28418 0.184638i 0.533784 0.845621i \(-0.320770\pi\)
0.750401 + 0.660983i \(0.229861\pi\)
\(270\) −2.87412 + 4.61439i −0.174913 + 0.280823i
\(271\) −8.78471 + 13.6693i −0.533633 + 0.830349i −0.998484 0.0550395i \(-0.982472\pi\)
0.464851 + 0.885389i \(0.346108\pi\)
\(272\) 11.5618 6.09224i 0.701037 0.369396i
\(273\) 1.27013 + 4.32568i 0.0768720 + 0.261802i
\(274\) 7.14997 + 8.01953i 0.431945 + 0.484477i
\(275\) 24.6485i 1.48636i
\(276\) 4.23647 + 8.60537i 0.255005 + 0.517982i
\(277\) 11.2795i 0.677721i 0.940837 + 0.338861i \(0.110041\pi\)
−0.940837 + 0.338861i \(0.889959\pi\)
\(278\) 4.95704 4.41955i 0.297304 0.265067i
\(279\) 2.22189 + 7.56707i 0.133021 + 0.453029i
\(280\) −20.6984 + 3.87818i −1.23697 + 0.231765i
\(281\) −4.78787 + 7.45007i −0.285620 + 0.444434i −0.954184 0.299221i \(-0.903273\pi\)
0.668564 + 0.743655i \(0.266909\pi\)
\(282\) −3.69935 2.30418i −0.220293 0.137212i
\(283\) −11.4048 + 1.63976i −0.677945 + 0.0974738i −0.472682 0.881233i \(-0.656714\pi\)
−0.205263 + 0.978707i \(0.565805\pi\)
\(284\) 5.09905 + 15.7083i 0.302573 + 0.932114i
\(285\) −0.843962 1.31323i −0.0499920 0.0777890i
\(286\) 8.19715 1.29712i 0.484708 0.0767004i
\(287\) 2.70601 5.92533i 0.159731 0.349761i
\(288\) 2.71453 4.96300i 0.159955 0.292447i
\(289\) −0.900225 + 6.26120i −0.0529544 + 0.368306i
\(290\) −32.5315 + 38.6339i −1.91032 + 2.26866i
\(291\) 2.16206 7.36329i 0.126742 0.431644i
\(292\) 7.34688 + 8.00947i 0.429944 + 0.468719i
\(293\) −12.1952 14.0740i −0.712449 0.822210i 0.277929 0.960602i \(-0.410352\pi\)
−0.990378 + 0.138392i \(0.955807\pi\)
\(294\) 1.23188 4.42596i 0.0718447 0.258127i
\(295\) 0.889209 1.02620i 0.0517718 0.0597478i
\(296\) −5.87470 2.38727i −0.341460 0.138757i
\(297\) 2.29334 1.04733i 0.133073 0.0607725i
\(298\) 5.44625 + 17.6225i 0.315493 + 1.02085i
\(299\) 11.0481 1.59743i 0.638926 0.0923820i
\(300\) −16.1437 + 11.0321i −0.932057 + 0.636940i
\(301\) −11.9535 + 5.45900i −0.688990 + 0.314651i
\(302\) 12.6944 8.41420i 0.730483 0.484183i
\(303\) −6.37407 5.52316i −0.366181 0.317297i
\(304\) 0.954047 + 1.31468i 0.0547183 + 0.0754023i
\(305\) −27.7856 32.0663i −1.59100 1.83611i
\(306\) −1.97865 4.17538i −0.113112 0.238690i
\(307\) 12.2213 + 3.58851i 0.697509 + 0.204807i 0.611217 0.791463i \(-0.290680\pi\)
0.0862915 + 0.996270i \(0.472498\pi\)
\(308\) 8.99490 + 3.80425i 0.512532 + 0.216768i
\(309\) −0.0282846 + 0.196724i −0.00160905 + 0.0111912i
\(310\) −5.50090 + 42.5191i −0.312430 + 2.41492i
\(311\) −22.5322 10.2901i −1.27768 0.583499i −0.343120 0.939292i \(-0.611484\pi\)
−0.934565 + 0.355793i \(0.884211\pi\)
\(312\) −4.51842 4.78822i −0.255805 0.271079i
\(313\) 8.85453 + 13.7779i 0.500487 + 0.778774i 0.995955 0.0898528i \(-0.0286397\pi\)
−0.495468 + 0.868626i \(0.665003\pi\)
\(314\) 0.109521 + 7.74520i 0.00618063 + 0.437087i
\(315\) 1.05958 + 7.36955i 0.0597007 + 0.415227i
\(316\) −15.1590 3.98914i −0.852758 0.224407i
\(317\) 12.3491 19.2155i 0.693594 1.07925i −0.298580 0.954385i \(-0.596513\pi\)
0.992173 0.124868i \(-0.0398508\pi\)
\(318\) 5.66676 + 2.49170i 0.317776 + 0.139728i
\(319\) 22.4744 6.59907i 1.25832 0.369477i
\(320\) 24.3686 18.7583i 1.36225 1.04862i
\(321\) 17.1114i 0.955064i
\(322\) 12.0294 + 5.27800i 0.670375 + 0.294131i
\(323\) 1.32678 0.0738240
\(324\) −1.71241 1.03328i −0.0951338 0.0574042i
\(325\) 6.41121 + 21.8346i 0.355630 + 1.21116i
\(326\) 6.40794 + 2.81760i 0.354903 + 0.156053i
\(327\) −16.7785 10.7829i −0.927851 0.596294i
\(328\) 0.403387 + 9.50394i 0.0222733 + 0.524767i
\(329\) −5.90816 + 0.849465i −0.325727 + 0.0468325i
\(330\) 13.7044 0.193788i 0.754405 0.0106677i
\(331\) −5.40514 + 3.47367i −0.297093 + 0.190930i −0.680692 0.732570i \(-0.738321\pi\)
0.383599 + 0.923500i \(0.374685\pi\)
\(332\) −2.60005 + 1.27745i −0.142696 + 0.0701092i
\(333\) −0.931345 + 2.03936i −0.0510374 + 0.111756i
\(334\) 2.23700 17.2909i 0.122403 0.946115i
\(335\) 56.2911 + 8.09344i 3.07551 + 0.442192i
\(336\) −1.53430 7.59398i −0.0837029 0.414285i
\(337\) −8.09480 + 27.5684i −0.440952 + 1.50174i 0.376866 + 0.926268i \(0.377002\pi\)
−0.817818 + 0.575477i \(0.804816\pi\)
\(338\) 9.68976 4.59184i 0.527054 0.249763i
\(339\) −3.60604 + 3.12465i −0.195853 + 0.169708i
\(340\) −0.710227 25.1082i −0.0385175 1.36168i
\(341\) 13.0208 15.0268i 0.705116 0.813748i
\(342\) 0.478697 0.317292i 0.0258850 0.0171572i
\(343\) −8.24600 18.0562i −0.445242 0.974945i
\(344\) 11.9406 15.0228i 0.643792 0.809976i
\(345\) 18.4353 0.0146484i 0.992525 0.000788642i
\(346\) 17.1684 5.30589i 0.922978 0.285246i
\(347\) −14.1387 30.9594i −0.759004 1.66199i −0.749475 0.662032i \(-0.769694\pi\)
−0.00952875 0.999955i \(-0.503033\pi\)
\(348\) −14.3811 11.7661i −0.770910 0.630731i
\(349\) 2.78397 + 2.41232i 0.149022 + 0.129129i 0.726181 0.687503i \(-0.241293\pi\)
−0.577159 + 0.816632i \(0.695839\pi\)
\(350\) −7.18056 + 25.7987i −0.383817 + 1.37900i
\(351\) −1.75911 + 1.52428i −0.0938944 + 0.0813600i
\(352\) −14.2263 + 1.00745i −0.758264 + 0.0536971i
\(353\) −7.30271 2.14427i −0.388684 0.114128i 0.0815509 0.996669i \(-0.474013\pi\)
−0.470235 + 0.882541i \(0.655831\pi\)
\(354\) 0.382126 + 0.321768i 0.0203098 + 0.0171018i
\(355\) 31.4193 + 4.51741i 1.66756 + 0.239759i
\(356\) 32.9954 5.70053i 1.74875 0.302128i
\(357\) −5.75619 2.62876i −0.304650 0.139129i
\(358\) −23.3736 + 3.69864i −1.23533 + 0.195479i
\(359\) −29.0432 + 18.6649i −1.53284 + 0.985098i −0.543513 + 0.839401i \(0.682906\pi\)
−0.989329 + 0.145697i \(0.953458\pi\)
\(360\) −6.26074 8.88909i −0.329970 0.468496i
\(361\) −2.68051 18.6434i −0.141080 0.981230i
\(362\) 16.4133 26.3514i 0.862661 1.38500i
\(363\) 3.90651 + 2.51056i 0.205039 + 0.131770i
\(364\) −8.95754 1.03033i −0.469502 0.0540040i
\(365\) 20.0436 5.88533i 1.04913 0.308052i
\(366\) 11.6514 10.3881i 0.609030 0.542993i
\(367\) −31.4493 −1.64164 −0.820820 0.571187i \(-0.806483\pi\)
−0.820820 + 0.571187i \(0.806483\pi\)
\(368\) −19.1518 + 1.09962i −0.998356 + 0.0573214i
\(369\) 3.36317 0.175080
\(370\) −9.09726 + 8.11084i −0.472944 + 0.421663i
\(371\) 8.13469 2.38856i 0.422332 0.124008i
\(372\) −15.6698 1.80239i −0.812439 0.0934498i
\(373\) −7.10395 4.56543i −0.367829 0.236389i 0.343648 0.939098i \(-0.388337\pi\)
−0.711477 + 0.702709i \(0.751974\pi\)
\(374\) −6.15875 + 9.88786i −0.318461 + 0.511289i
\(375\) 2.61310 + 18.1745i 0.134940 + 0.938526i
\(376\) 7.12636 5.01922i 0.367514 0.258846i
\(377\) −18.1922 + 11.6914i −0.936945 + 0.602138i
\(378\) −2.70546 + 0.428114i −0.139154 + 0.0220198i
\(379\) 28.2936 + 12.9212i 1.45334 + 0.663719i 0.976549 0.215296i \(-0.0690716\pi\)
0.476794 + 0.879015i \(0.341799\pi\)
\(380\) 3.07650 0.531520i 0.157821 0.0272664i
\(381\) −2.03162 0.292103i −0.104083 0.0149649i
\(382\) 15.6314 + 13.1623i 0.799770 + 0.673444i
\(383\) −3.60573 1.05874i −0.184244 0.0540990i 0.188309 0.982110i \(-0.439699\pi\)
−0.372553 + 0.928011i \(0.621518\pi\)
\(384\) 7.02721 + 8.86670i 0.358606 + 0.452477i
\(385\) 14.1862 12.2924i 0.722994 0.626478i
\(386\) 9.18201 32.9896i 0.467352 1.67913i
\(387\) −5.12757 4.44306i −0.260649 0.225853i
\(388\) 11.8790 + 9.71900i 0.603066 + 0.493407i
\(389\) 8.49321 + 18.5975i 0.430623 + 0.942932i 0.993225 + 0.116205i \(0.0370728\pi\)
−0.562603 + 0.826727i \(0.690200\pi\)
\(390\) −12.0895 + 3.73627i −0.612177 + 0.189193i
\(391\) −8.46072 + 13.1882i −0.427877 + 0.666954i
\(392\) 7.19305 + 5.71724i 0.363304 + 0.288764i
\(393\) −5.74401 12.5776i −0.289747 0.634457i
\(394\) 5.56951 3.69161i 0.280588 0.185981i
\(395\) −19.7295 + 22.7690i −0.992697 + 1.14563i
\(396\) 0.142574 + 5.04033i 0.00716463 + 0.253286i
\(397\) −0.212003 + 0.183702i −0.0106401 + 0.00921974i −0.660165 0.751121i \(-0.729513\pi\)
0.649524 + 0.760341i \(0.274968\pi\)
\(398\) −7.80472 + 3.69854i −0.391215 + 0.185391i
\(399\) 0.221596 0.754685i 0.0110937 0.0377815i
\(400\) −7.74463 38.3318i −0.387231 1.91659i
\(401\) −16.9197 2.43269i −0.844931 0.121483i −0.293765 0.955878i \(-0.594908\pi\)
−0.551167 + 0.834395i \(0.685817\pi\)
\(402\) −2.68445 + 20.7494i −0.133888 + 1.03489i
\(403\) −7.62577 + 16.6981i −0.379867 + 0.831792i
\(404\) 15.1396 7.43836i 0.753223 0.370072i
\(405\) −3.23381 + 2.07824i −0.160689 + 0.103269i
\(406\) −25.4455 + 0.359813i −1.26284 + 0.0178572i
\(407\) 5.59484 0.804417i 0.277326 0.0398735i
\(408\) 9.23264 0.391872i 0.457084 0.0194005i
\(409\) 15.1137 + 9.71301i 0.747326 + 0.480277i 0.858045 0.513574i \(-0.171679\pi\)
−0.110719 + 0.993852i \(0.535315\pi\)
\(410\) 16.7367 + 7.35920i 0.826566 + 0.363445i
\(411\) 2.14038 + 7.28946i 0.105577 + 0.359563i
\(412\) −0.340335 0.205360i −0.0167671 0.0101174i
\(413\) 0.684172 0.0336659
\(414\) 0.101285 + 6.78157i 0.00497786 + 0.333296i
\(415\) 5.56792i 0.273319i
\(416\) 12.3401 4.59277i 0.605025 0.225179i
\(417\) 4.50577 1.32301i 0.220649 0.0647883i
\(418\) −1.32545 0.582805i −0.0648297 0.0285059i
\(419\) 5.98141 9.30726i 0.292211 0.454689i −0.663846 0.747869i \(-0.731077\pi\)
0.956057 + 0.293180i \(0.0947135\pi\)
\(420\) −14.4004 3.78953i −0.702668 0.184910i
\(421\) 1.50170 + 10.4446i 0.0731884 + 0.509036i 0.993133 + 0.116989i \(0.0373241\pi\)
−0.919945 + 0.392048i \(0.871767\pi\)
\(422\) −0.225840 15.9712i −0.0109937 0.777464i
\(423\) −1.66612 2.59254i −0.0810096 0.126053i
\(424\) −9.00452 + 8.49716i −0.437298 + 0.412659i
\(425\) −29.0553 13.2691i −1.40939 0.643646i
\(426\) −1.49835 + 11.5814i −0.0725951 + 0.561123i
\(427\) 3.04250 21.1611i 0.147237 1.02406i
\(428\) −31.5197 13.3308i −1.52356 0.644366i
\(429\) 5.63067 + 1.65331i 0.271851 + 0.0798227i
\(430\) −15.7949 33.3307i −0.761699 1.60735i
\(431\) −0.793420 0.915656i −0.0382177 0.0441056i 0.736319 0.676635i \(-0.236562\pi\)
−0.774537 + 0.632529i \(0.782017\pi\)
\(432\) 3.23739 2.34932i 0.155759 0.113032i
\(433\) 16.0333 + 13.8929i 0.770509 + 0.667650i 0.948640 0.316357i \(-0.102460\pi\)
−0.178131 + 0.984007i \(0.557005\pi\)
\(434\) −18.0060 + 11.9348i −0.864316 + 0.572890i
\(435\) −32.4859 + 14.8358i −1.55758 + 0.711324i
\(436\) 32.9337 22.5059i 1.57724 1.07784i
\(437\) −1.77220 0.807637i −0.0847760 0.0386345i
\(438\) 2.26925 + 7.34266i 0.108429 + 0.350846i
\(439\) 2.00902 0.917487i 0.0958851 0.0437893i −0.366895 0.930262i \(-0.619579\pi\)
0.462780 + 0.886473i \(0.346852\pi\)
\(440\) −10.3196 + 25.3950i −0.491967 + 1.21066i
\(441\) 2.12737 2.45512i 0.101304 0.116911i
\(442\) 2.88377 10.3610i 0.137167 0.492821i
\(443\) 21.6826 + 25.0231i 1.03017 + 1.18888i 0.981774 + 0.190054i \(0.0608663\pi\)
0.0483985 + 0.998828i \(0.484588\pi\)
\(444\) −3.03099 3.30434i −0.143844 0.156817i
\(445\) 18.1315 61.7503i 0.859516 2.92724i
\(446\) −23.2049 + 27.5577i −1.09878 + 1.30489i
\(447\) −1.85615 + 12.9098i −0.0877928 + 0.610612i
\(448\) 15.1836 + 3.08992i 0.717359 + 0.145985i
\(449\) −7.20577 + 15.7784i −0.340061 + 0.744630i −0.999977 0.00670907i \(-0.997864\pi\)
0.659916 + 0.751339i \(0.270592\pi\)
\(450\) −13.6563 + 2.16098i −0.643763 + 0.101869i
\(451\) −4.58417 7.13311i −0.215860 0.335885i
\(452\) −2.94639 9.07672i −0.138586 0.426933i
\(453\) 10.6595 1.53260i 0.500827 0.0720081i
\(454\) −19.4769 12.1314i −0.914095 0.569353i
\(455\) −9.36933 + 14.5790i −0.439241 + 0.683472i
\(456\) 0.211529 + 1.12896i 0.00990575 + 0.0528685i
\(457\) −6.80118 23.1627i −0.318146 1.08351i −0.950989 0.309225i \(-0.899930\pi\)
0.632843 0.774280i \(-0.281888\pi\)
\(458\) 25.3396 22.5920i 1.18404 1.05566i
\(459\) 3.26717i 0.152499i
\(460\) −14.3352 + 33.9698i −0.668382 + 1.58385i
\(461\) 27.0003i 1.25753i 0.777595 + 0.628766i \(0.216439\pi\)
−0.777595 + 0.628766i \(0.783561\pi\)
\(462\) 4.59569 + 5.15460i 0.213811 + 0.239814i
\(463\) −4.15974 14.1668i −0.193320 0.658386i −0.997914 0.0645610i \(-0.979435\pi\)
0.804594 0.593825i \(-0.202383\pi\)
\(464\) 32.8773 17.3240i 1.52629 0.804245i
\(465\) −16.3901 + 25.5035i −0.760074 + 1.18270i
\(466\) 13.0730 20.9887i 0.605595 0.972281i
\(467\) 22.0579 3.17144i 1.02072 0.146757i 0.388419 0.921483i \(-0.373021\pi\)
0.632297 + 0.774726i \(0.282112\pi\)
\(468\) −1.43732 4.42783i −0.0664400 0.204677i
\(469\) 15.4918 + 24.1057i 0.715345 + 1.11310i
\(470\) −2.61847 16.5474i −0.120781 0.763274i
\(471\) −2.27532 + 4.98226i −0.104841 + 0.229571i
\(472\) −0.890404 + 0.453211i −0.0409841 + 0.0208607i
\(473\) −2.43437 + 16.9314i −0.111932 + 0.778507i
\(474\) −8.47847 7.13927i −0.389429 0.327918i
\(475\) 1.11854 3.80940i 0.0513221 0.174787i
\(476\) 9.32666 8.55511i 0.427487 0.392123i
\(477\) 2.86649 + 3.30811i 0.131248 + 0.151468i
\(478\) 12.8189 + 3.56789i 0.586323 + 0.163191i
\(479\) −5.21394 + 6.01720i −0.238231 + 0.274933i −0.862258 0.506470i \(-0.830950\pi\)
0.624027 + 0.781403i \(0.285496\pi\)
\(480\) 21.2514 4.60734i 0.969991 0.210296i
\(481\) −4.74689 + 2.16783i −0.216440 + 0.0988447i
\(482\) 29.7814 9.20396i 1.35651 0.419229i
\(483\) 6.08847 + 7.01520i 0.277035 + 0.319202i
\(484\) −7.66793 + 5.24004i −0.348542 + 0.238183i
\(485\) 26.8339 12.2546i 1.21846 0.556453i
\(486\) −0.781327 1.17878i −0.0354417 0.0534707i
\(487\) 11.7022 + 10.1400i 0.530277 + 0.459488i 0.878376 0.477970i \(-0.158627\pi\)
−0.348099 + 0.937458i \(0.613173\pi\)
\(488\) 10.0580 + 29.5552i 0.455303 + 1.33790i
\(489\) 3.24142 + 3.74079i 0.146582 + 0.169165i
\(490\) 15.9590 7.56274i 0.720954 0.341650i
\(491\) 36.4594 + 10.7054i 1.64539 + 0.483130i 0.967676 0.252196i \(-0.0811529\pi\)
0.677713 + 0.735326i \(0.262971\pi\)
\(492\) −2.62011 + 6.19506i −0.118124 + 0.279295i
\(493\) 4.31981 30.0449i 0.194554 1.35316i
\(494\) 1.32572 + 0.171515i 0.0596471 + 0.00771683i
\(495\) 8.81568 + 4.02598i 0.396235 + 0.180955i
\(496\) 15.5277 27.4600i 0.697214 1.23299i
\(497\) 8.64685 + 13.4548i 0.387864 + 0.603529i
\(498\) −2.04822 + 0.0289629i −0.0917831 + 0.00129786i
\(499\) −4.73560 32.9368i −0.211994 1.47445i −0.766484 0.642263i \(-0.777996\pi\)
0.554490 0.832190i \(-0.312913\pi\)
\(500\) −35.5137 9.34557i −1.58822 0.417947i
\(501\) 6.66523 10.3713i 0.297781 0.463356i
\(502\) 12.3840 28.1643i 0.552724 1.25704i
\(503\) 20.5458 6.03280i 0.916093 0.268989i 0.210489 0.977596i \(-0.432494\pi\)
0.705603 + 0.708607i \(0.250676\pi\)
\(504\) 1.31911 5.31707i 0.0587580 0.236841i
\(505\) 32.4210i 1.44271i
\(506\) 14.2453 9.45844i 0.633281 0.420479i
\(507\) 7.58210 0.336733
\(508\) 2.12081 3.51474i 0.0940959 0.155942i
\(509\) 7.07304 + 24.0886i 0.313507 + 1.06771i 0.954016 + 0.299756i \(0.0969054\pi\)
−0.640509 + 0.767951i \(0.721276\pi\)
\(510\) 7.14913 16.2589i 0.316569 0.719958i
\(511\) 8.85464 + 5.69053i 0.391706 + 0.251734i
\(512\) −21.8073 + 6.03666i −0.963756 + 0.266785i
\(513\) 0.401961 0.0577932i 0.0177470 0.00255163i
\(514\) 0.451599 + 31.9365i 0.0199192 + 1.40866i
\(515\) −0.642708 + 0.413043i −0.0283211 + 0.0182009i
\(516\) 12.1789 5.98372i 0.536147 0.263419i
\(517\) −3.22762 + 7.06751i −0.141951 + 0.310829i
\(518\) −6.09026 0.787926i −0.267591 0.0346195i
\(519\) 12.5771 + 1.80831i 0.552072 + 0.0793760i
\(520\) 2.53612 25.1800i 0.111216 1.10422i
\(521\) −0.840044 + 2.86093i −0.0368030 + 0.125339i −0.975846 0.218461i \(-0.929896\pi\)
0.939043 + 0.343801i \(0.111714\pi\)
\(522\) −5.62652 11.8732i −0.246266 0.519674i
\(523\) −1.65634 + 1.43523i −0.0724269 + 0.0627583i −0.690322 0.723502i \(-0.742531\pi\)
0.617895 + 0.786261i \(0.287986\pi\)
\(524\) 27.6433 0.781936i 1.20760 0.0341590i
\(525\) −12.4003 + 14.3108i −0.541195 + 0.624573i
\(526\) 13.9853 + 21.0996i 0.609789 + 0.919985i
\(527\) −10.7039 23.4382i −0.466267 1.02098i
\(528\) −9.39551 3.66408i −0.408887 0.159459i
\(529\) 19.3290 12.4655i 0.840393 0.541977i
\(530\) 7.02627 + 22.7350i 0.305202 + 0.987547i
\(531\) 0.146741 + 0.321317i 0.00636800 + 0.0139440i
\(532\) 1.21752 + 0.996128i 0.0527860 + 0.0431876i
\(533\) 5.91620 + 5.12642i 0.256259 + 0.222050i
\(534\) 22.8099 + 6.34868i 0.987079 + 0.274734i
\(535\) −49.7107 + 43.0746i −2.14918 + 1.86228i
\(536\) −36.1297 21.1098i −1.56057 0.911806i
\(537\) −16.0554 4.71430i −0.692843 0.203437i
\(538\) −19.3830 + 23.0189i −0.835661 + 0.992417i
\(539\) −8.10690 1.16560i −0.349189 0.0502058i
\(540\) −1.30886 7.57583i −0.0563243 0.326012i
\(541\) 9.89262 + 4.51781i 0.425317 + 0.194236i 0.616562 0.787307i \(-0.288525\pi\)
−0.191245 + 0.981542i \(0.561252\pi\)
\(542\) −3.59154 22.6967i −0.154270 0.974908i
\(543\) 18.4673 11.8682i 0.792508 0.509314i
\(544\) −6.47092 + 17.3121i −0.277438 + 0.742250i
\(545\) −10.9110 75.8873i −0.467374 3.25066i
\(546\) −5.41178 3.37078i −0.231603 0.144256i
\(547\) 5.38124 + 3.45831i 0.230085 + 0.147867i 0.650604 0.759417i \(-0.274516\pi\)
−0.420519 + 0.907284i \(0.638152\pi\)
\(548\) −15.0949 1.73627i −0.644821 0.0741698i
\(549\) 10.5907 3.10972i 0.452001 0.132719i
\(550\) 23.1975 + 26.0187i 0.989144 + 1.10944i
\(551\) 3.77285 0.160729
\(552\) −12.5708 5.09667i −0.535047 0.216929i
\(553\) −15.1802 −0.645526
\(554\) −10.6155 11.9066i −0.451010 0.505861i
\(555\) −8.26908 + 2.42802i −0.351003 + 0.103064i
\(556\) −1.07323 + 9.33047i −0.0455149 + 0.395700i
\(557\) −6.81780 4.38153i −0.288879 0.185651i 0.388173 0.921587i \(-0.373106\pi\)
−0.677052 + 0.735935i \(0.736743\pi\)
\(558\) −9.46703 5.89663i −0.400771 0.249624i
\(559\) −2.24750 15.6317i −0.0950590 0.661150i
\(560\) 18.1992 23.5737i 0.769055 0.996171i
\(561\) −6.92950 + 4.45332i −0.292564 + 0.188019i
\(562\) −1.95747 12.3702i −0.0825710 0.521807i
\(563\) 2.33073 + 1.06441i 0.0982284 + 0.0448594i 0.463923 0.885875i \(-0.346441\pi\)
−0.365695 + 0.930735i \(0.619169\pi\)
\(564\) 6.07353 1.04931i 0.255742 0.0441839i
\(565\) −18.1550 2.61030i −0.763788 0.109816i
\(566\) 10.4956 12.4643i 0.441161 0.523915i
\(567\) −1.85840 0.545675i −0.0780454 0.0229162i
\(568\) −20.1660 11.7826i −0.846149 0.494387i
\(569\) −12.5817 + 10.9021i −0.527452 + 0.457040i −0.877421 0.479721i \(-0.840738\pi\)
0.349969 + 0.936761i \(0.386192\pi\)
\(570\) 2.12680 + 0.591953i 0.0890819 + 0.0247942i
\(571\) 14.2668 + 12.3623i 0.597049 + 0.517346i 0.900131 0.435618i \(-0.143470\pi\)
−0.303082 + 0.952964i \(0.598016\pi\)
\(572\) −7.43207 + 9.08383i −0.310750 + 0.379814i
\(573\) 6.00261 + 13.1439i 0.250763 + 0.549094i
\(574\) 2.72008 + 8.80143i 0.113534 + 0.367364i
\(575\) 30.7325 + 35.4103i 1.28164 + 1.47671i
\(576\) 1.80541 + 7.79362i 0.0752254 + 0.324734i
\(577\) 2.47133 + 5.41145i 0.102883 + 0.225281i 0.954072 0.299577i \(-0.0968455\pi\)
−0.851190 + 0.524858i \(0.824118\pi\)
\(578\) −4.94235 7.45649i −0.205575 0.310149i
\(579\) 15.8567 18.2996i 0.658983 0.760506i
\(580\) −2.01961 71.3980i −0.0838598 2.96464i
\(581\) −2.12022 + 1.83718i −0.0879616 + 0.0762191i
\(582\) 4.64758 + 9.80740i 0.192649 + 0.406530i
\(583\) 3.10915 10.5888i 0.128768 0.438543i
\(584\) −15.2933 1.54033i −0.632840 0.0637393i
\(585\) −8.85645 1.27336i −0.366169 0.0526471i
\(586\) 26.1185 + 3.37908i 1.07895 + 0.139589i
\(587\) −16.6141 + 36.3797i −0.685735 + 1.50155i 0.170714 + 0.985321i \(0.445393\pi\)
−0.856450 + 0.516231i \(0.827335\pi\)
\(588\) 2.86506 + 5.83136i 0.118153 + 0.240481i
\(589\) 2.69426 1.73150i 0.111015 0.0713451i
\(590\) 0.0271514 + 1.92011i 0.00111780 + 0.0790498i
\(591\) 4.67671 0.672409i 0.192374 0.0276592i
\(592\) 8.44801 3.00890i 0.347211 0.123665i
\(593\) 32.3801 + 20.8094i 1.32969 + 0.854542i 0.996105 0.0881773i \(-0.0281042\pi\)
0.333588 + 0.942719i \(0.391741\pi\)
\(594\) −1.43515 + 3.26389i −0.0588848 + 0.133919i
\(595\) −6.85320 23.3399i −0.280954 0.956841i
\(596\) −22.3342 13.4765i −0.914843 0.552021i
\(597\) −6.10708 −0.249946
\(598\) −10.1588 + 12.0839i −0.415426 + 0.494149i
\(599\) 17.9034i 0.731514i 0.930710 + 0.365757i \(0.119190\pi\)
−0.930710 + 0.365757i \(0.880810\pi\)
\(600\) 6.65844 26.8388i 0.271830 1.09569i
\(601\) −12.3820 + 3.63567i −0.505071 + 0.148302i −0.524335 0.851512i \(-0.675686\pi\)
0.0192638 + 0.999814i \(0.493868\pi\)
\(602\) 7.48039 17.0123i 0.304878 0.693370i
\(603\) −7.99843 + 12.4458i −0.325721 + 0.506832i
\(604\) −5.48126 + 20.8291i −0.223029 + 0.847524i
\(605\) 2.54039 + 17.6688i 0.103281 + 0.718338i
\(606\) 11.9264 0.168646i 0.484478 0.00685077i
\(607\) 1.91522 + 2.98013i 0.0777362 + 0.120960i 0.877945 0.478762i \(-0.158914\pi\)
−0.800209 + 0.599722i \(0.795278\pi\)
\(608\) −2.24437 0.489884i −0.0910214 0.0198674i
\(609\) −16.3684 7.47519i −0.663280 0.302910i
\(610\) 59.5088 + 7.69894i 2.40944 + 0.311721i
\(611\) 1.02085 7.10019i 0.0412993 0.287243i
\(612\) 6.01822 + 2.54531i 0.243272 + 0.102888i
\(613\) 17.3965 + 5.10807i 0.702637 + 0.206313i 0.613487 0.789705i \(-0.289766\pi\)
0.0891509 + 0.996018i \(0.471585\pi\)
\(614\) −16.2780 + 7.71390i −0.656926 + 0.311308i
\(615\) 8.46614 + 9.77045i 0.341388 + 0.393982i
\(616\) −13.0752 + 4.44966i −0.526816 + 0.179282i
\(617\) −33.6954 29.1972i −1.35653 1.17544i −0.967105 0.254376i \(-0.918130\pi\)
−0.389420 0.921060i \(-0.627325\pi\)
\(618\) −0.155286 0.234279i −0.00624652 0.00942408i
\(619\) −8.02748 + 3.66603i −0.322652 + 0.147350i −0.570155 0.821537i \(-0.693117\pi\)
0.247504 + 0.968887i \(0.420390\pi\)
\(620\) −34.2094 50.0598i −1.37388 2.01045i
\(621\) −1.98879 + 4.36402i −0.0798075 + 0.175122i
\(622\) 33.4691 10.3436i 1.34199 0.414742i
\(623\) 29.4967 13.4707i 1.18176 0.539691i
\(624\) 9.27595 + 0.801960i 0.371335 + 0.0321041i
\(625\) −14.2097 + 16.3989i −0.568387 + 0.655954i
\(626\) −22.3136 6.21055i −0.891830 0.248223i
\(627\) −0.670469 0.773762i −0.0267759 0.0309011i
\(628\) −7.40486 8.07268i −0.295486 0.322135i
\(629\) 2.06366 7.02817i 0.0822834 0.280231i
\(630\) −8.05421 6.78202i −0.320887 0.270202i
\(631\) −0.408999 + 2.84465i −0.0162820 + 0.113244i −0.996342 0.0854599i \(-0.972764\pi\)
0.980060 + 0.198704i \(0.0636731\pi\)
\(632\) 19.7560 10.0557i 0.785850 0.399994i
\(633\) 4.69188 10.2738i 0.186486 0.408346i
\(634\) 5.04880 + 31.9059i 0.200513 + 1.26714i
\(635\) −4.26562 6.63744i −0.169276 0.263399i
\(636\) −8.32680 + 2.70296i −0.330179 + 0.107179i
\(637\) 7.48458 1.07612i 0.296550 0.0426374i
\(638\) −17.5131 + 28.1172i −0.693351 + 1.11317i
\(639\) −4.46438 + 6.94671i −0.176608 + 0.274807i
\(640\) −8.06923 + 42.7351i −0.318964 + 1.68925i
\(641\) −8.49454 28.9297i −0.335514 1.14266i −0.938608 0.344986i \(-0.887884\pi\)
0.603094 0.797670i \(-0.293935\pi\)
\(642\) −16.1041 18.0626i −0.635577 0.712874i
\(643\) 1.77844i 0.0701347i −0.999385 0.0350674i \(-0.988835\pi\)
0.999385 0.0350674i \(-0.0111646\pi\)
\(644\) −17.6655 + 5.74989i −0.696117 + 0.226577i
\(645\) 26.0808i 1.02693i
\(646\) −1.40054 + 1.24867i −0.0551033 + 0.0491285i
\(647\) 9.53578 + 32.4759i 0.374890 + 1.27676i 0.903754 + 0.428052i \(0.140800\pi\)
−0.528863 + 0.848707i \(0.677382\pi\)
\(648\) 2.78005 0.520886i 0.109211 0.0204624i
\(649\) 0.481481 0.749200i 0.0188998 0.0294087i
\(650\) −27.3168 17.0146i −1.07145 0.667366i
\(651\) −15.1196 + 2.17387i −0.592584 + 0.0852007i
\(652\) −9.41590 + 3.05649i −0.368755 + 0.119701i
\(653\) −12.5819 19.5779i −0.492369 0.766140i 0.502791 0.864408i \(-0.332306\pi\)
−0.995160 + 0.0982673i \(0.968670\pi\)
\(654\) 27.8593 4.40847i 1.08938 0.172385i
\(655\) 22.0802 48.3488i 0.862743 1.88914i
\(656\) −9.37027 9.65262i −0.365848 0.376872i
\(657\) −0.773387 + 5.37903i −0.0301727 + 0.209856i
\(658\) 5.43713 6.45704i 0.211961 0.251722i
\(659\) −8.05840 + 27.4444i −0.313911 + 1.06908i 0.639846 + 0.768503i \(0.278998\pi\)
−0.953757 + 0.300579i \(0.902820\pi\)
\(660\) −14.2839 + 13.1023i −0.556000 + 0.510005i
\(661\) −10.6137 12.2488i −0.412824 0.476425i 0.510813 0.859692i \(-0.329344\pi\)
−0.923638 + 0.383267i \(0.874799\pi\)
\(662\) 2.43643 8.75372i 0.0946944 0.340223i
\(663\) 4.98008 5.74732i 0.193410 0.223207i
\(664\) 1.54233 3.79545i 0.0598542 0.147292i
\(665\) 2.75028 1.25601i 0.106651 0.0487060i
\(666\) −0.936189 3.02925i −0.0362766 0.117381i
\(667\) −24.0590 + 37.5020i −0.931569 + 1.45208i
\(668\) 13.9116 + 20.3574i 0.538257 + 0.787651i
\(669\) −23.1723 + 10.5825i −0.895894 + 0.409141i
\(670\) −67.0373 + 44.4340i −2.58988 + 1.71664i
\(671\) −21.0312 18.2237i −0.811901 0.703517i
\(672\) 8.76653 + 6.57215i 0.338176 + 0.253526i
\(673\) −25.4068 29.3210i −0.979359 1.13024i −0.991473 0.130314i \(-0.958401\pi\)
0.0121135 0.999927i \(-0.496144\pi\)
\(674\) −17.4007 36.7192i −0.670249 1.41437i
\(675\) −9.38057 2.75438i −0.361058 0.106016i
\(676\) −5.90689 + 13.9664i −0.227188 + 0.537171i
\(677\) −5.33722 + 37.1212i −0.205126 + 1.42668i 0.583652 + 0.812004i \(0.301623\pi\)
−0.788778 + 0.614679i \(0.789286\pi\)
\(678\) 0.865791 6.69212i 0.0332505 0.257009i
\(679\) 13.5205 + 6.17461i 0.518870 + 0.236960i
\(680\) 24.3798 + 25.8355i 0.934924 + 0.990748i
\(681\) −8.77204 13.6496i −0.336145 0.523052i
\(682\) 0.397581 + 28.1165i 0.0152242 + 1.07663i
\(683\) 2.20122 + 15.3098i 0.0842273 + 0.585814i 0.987604 + 0.156966i \(0.0501713\pi\)
−0.903377 + 0.428848i \(0.858920\pi\)
\(684\) −0.206694 + 0.785447i −0.00790313 + 0.0300323i
\(685\) −15.7888 + 24.5679i −0.603260 + 0.938690i
\(686\) 25.6977 + 11.2994i 0.981143 + 0.431413i
\(687\) 23.0328 6.76304i 0.878756 0.258026i
\(688\) 1.53411 + 27.0956i 0.0584876 + 1.03301i
\(689\) 10.1887i 0.388158i
\(690\) −19.4464 + 17.3655i −0.740310 + 0.661095i
\(691\) −46.1654 −1.75621 −0.878107 0.478465i \(-0.841194\pi\)
−0.878107 + 0.478465i \(0.841194\pi\)
\(692\) −13.1292 + 21.7586i −0.499098 + 0.827136i
\(693\) 1.37574 + 4.68535i 0.0522601 + 0.177982i
\(694\) 44.0615 + 19.3741i 1.67255 + 0.735429i
\(695\) 15.1859 + 9.75941i 0.576035 + 0.370195i
\(696\) 26.2541 1.11433i 0.995158 0.0422387i
\(697\) −10.8762 + 1.56377i −0.411966 + 0.0592318i
\(698\) −5.20905 + 0.0736586i −0.197165 + 0.00278802i
\(699\) 14.7090 9.45293i 0.556347 0.357543i
\(700\) −16.7002 33.9907i −0.631210 1.28473i
\(701\) −10.6271 + 23.2702i −0.401381 + 0.878902i 0.595747 + 0.803172i \(0.296856\pi\)
−0.997128 + 0.0757298i \(0.975871\pi\)
\(702\) 0.422353 3.26457i 0.0159407 0.123213i
\(703\) 0.901181 + 0.129570i 0.0339887 + 0.00488683i
\(704\) 14.0690 14.4523i 0.530245 0.544690i
\(705\) 3.33751 11.3665i 0.125698 0.428087i
\(706\) 9.72671 4.60935i 0.366070 0.173475i
\(707\) 12.3457 10.6976i 0.464306 0.402323i
\(708\) −0.706194 + 0.0199759i −0.0265404 + 0.000750740i
\(709\) 19.5492 22.5609i 0.734184 0.847293i −0.258752 0.965944i \(-0.583311\pi\)
0.992936 + 0.118650i \(0.0378567\pi\)
\(710\) −37.4173 + 24.8012i −1.40425 + 0.930771i
\(711\) −3.25583 7.12927i −0.122103 0.267368i
\(712\) −29.4646 + 37.0704i −1.10423 + 1.38927i
\(713\) 0.0300531 + 37.8225i 0.00112550 + 1.41646i
\(714\) 8.55019 2.64244i 0.319983 0.0988907i
\(715\) 9.37104 + 20.5197i 0.350457 + 0.767394i
\(716\) 21.1920 25.9019i 0.791982 0.967998i
\(717\) 7.11076 + 6.16150i 0.265556 + 0.230106i
\(718\) 13.0916 47.0360i 0.488572 1.75537i
\(719\) 2.33364 2.02211i 0.0870299 0.0754119i −0.610259 0.792202i \(-0.708935\pi\)
0.697289 + 0.716790i \(0.254389\pi\)
\(720\) 14.9746 + 3.49105i 0.558070 + 0.130104i
\(721\) −0.369351 0.108451i −0.0137553 0.00403893i
\(722\) 20.3754 + 17.1570i 0.758294 + 0.638519i
\(723\) 21.8170 + 3.13682i 0.811385 + 0.116660i
\(724\) 7.47450 + 43.2633i 0.277788 + 1.60787i
\(725\) −82.6220 37.7322i −3.06850 1.40134i
\(726\) −6.48645 + 1.02642i −0.240735 + 0.0380940i
\(727\) 6.23359 4.00608i 0.231191 0.148577i −0.419917 0.907562i \(-0.637941\pi\)
0.651108 + 0.758985i \(0.274304\pi\)
\(728\) 10.4252 7.34262i 0.386382 0.272136i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) −15.6189 + 25.0762i −0.578083 + 0.928111i
\(731\) 18.6480 + 11.9843i 0.689721 + 0.443257i
\(732\) −2.52259 + 21.9311i −0.0932378 + 0.810596i
\(733\) −7.78302 + 2.28530i −0.287472 + 0.0844095i −0.422290 0.906461i \(-0.638773\pi\)
0.134817 + 0.990870i \(0.456955\pi\)
\(734\) 33.1976 29.5979i 1.22534 1.09248i
\(735\) 12.4877 0.460615
\(736\) 19.1815 19.1851i 0.707041 0.707172i
\(737\) 37.2991 1.37393
\(738\) −3.55013 + 3.16519i −0.130682 + 0.116512i
\(739\) −9.74456 + 2.86126i −0.358460 + 0.105253i −0.456003 0.889978i \(-0.650720\pi\)
0.0975439 + 0.995231i \(0.468901\pi\)
\(740\) 1.96960 17.1235i 0.0724041 0.629471i
\(741\) 0.795187 + 0.511035i 0.0292119 + 0.0187734i
\(742\) −6.33895 + 10.1772i −0.232710 + 0.373615i
\(743\) 2.60694 + 18.1316i 0.0956392 + 0.665186i 0.980090 + 0.198552i \(0.0636240\pi\)
−0.884451 + 0.466633i \(0.845467\pi\)
\(744\) 18.2371 12.8447i 0.668605 0.470910i
\(745\) −42.1771 + 27.1056i −1.54525 + 0.993071i
\(746\) 11.7955 1.86653i 0.431865 0.0683386i
\(747\) −1.31756 0.601711i −0.0482071 0.0220155i
\(748\) −2.80466 16.2337i −0.102549 0.593564i
\(749\) −32.8049 4.71664i −1.19867 0.172342i
\(750\) −19.8630 16.7255i −0.725292 0.610730i
\(751\) −13.6001 3.99334i −0.496274 0.145719i 0.0240115 0.999712i \(-0.492356\pi\)
−0.520285 + 0.853993i \(0.674174\pi\)
\(752\) −2.79877 + 12.0051i −0.102061 + 0.437781i
\(753\) 16.4416 14.2467i 0.599166 0.519180i
\(754\) 8.20033 29.4626i 0.298638 1.07296i
\(755\) 31.2856 + 27.1092i 1.13860 + 0.986603i
\(756\) 2.45295 2.99811i 0.0892129 0.109040i
\(757\) −10.0859 22.0850i −0.366578 0.802694i −0.999592 0.0285537i \(-0.990910\pi\)
0.633014 0.774140i \(-0.281817\pi\)
\(758\) −42.0270 + 12.9885i −1.52649 + 0.471762i
\(759\) 11.9667 1.73026i 0.434363 0.0628043i
\(760\) −2.74729 + 3.45646i −0.0996548 + 0.125379i
\(761\) 8.04426 + 17.6145i 0.291604 + 0.638524i 0.997566 0.0697255i \(-0.0222123\pi\)
−0.705962 + 0.708250i \(0.749485\pi\)
\(762\) 2.41947 1.60368i 0.0876481 0.0580954i
\(763\) 25.2971 29.1945i 0.915818 1.05691i
\(764\) −28.8878 + 0.817140i −1.04512 + 0.0295631i
\(765\) 9.49155 8.22447i 0.343168 0.297356i
\(766\) 4.80259 2.27588i 0.173525 0.0822308i
\(767\) −0.231644 + 0.788906i −0.00836417 + 0.0284857i
\(768\) −15.7626 2.74606i −0.568783 0.0990899i
\(769\) 5.99895 + 0.862519i 0.216328 + 0.0311032i 0.249626 0.968342i \(-0.419692\pi\)
−0.0332987 + 0.999445i \(0.510601\pi\)
\(770\) −3.40602 + 26.3268i −0.122744 + 0.948751i
\(771\) −9.38207 + 20.5439i −0.337887 + 0.739869i
\(772\) 21.3551 + 43.4650i 0.768588 + 1.56434i
\(773\) −6.38512 + 4.10347i −0.229657 + 0.147591i −0.650409 0.759584i \(-0.725403\pi\)
0.420752 + 0.907176i \(0.361766\pi\)
\(774\) 9.59411 0.135666i 0.344853 0.00487640i
\(775\) −76.3186 + 10.9730i −2.74145 + 0.394160i
\(776\) −21.6862 + 0.920454i −0.778491 + 0.0330424i
\(777\) −3.65302 2.34766i −0.131051 0.0842217i
\(778\) −26.4681 11.6381i −0.948926 0.417247i
\(779\) −0.384781 1.31044i −0.0137862 0.0469515i
\(780\) 9.24525 15.3218i 0.331033 0.548609i
\(781\) 20.8188 0.744954
\(782\) −3.48075 21.8840i −0.124472 0.782568i
\(783\) 9.29057i 0.332018i
\(784\) −12.9736 + 0.734547i −0.463342 + 0.0262338i
\(785\) −20.2018 + 5.93178i −0.721033 + 0.211714i
\(786\) 17.9005 + 7.87095i 0.638491 + 0.280747i
\(787\) 6.89926 10.7355i 0.245932 0.382677i −0.696239 0.717810i \(-0.745145\pi\)
0.942171 + 0.335132i \(0.108781\pi\)
\(788\) −2.40483 + 9.13848i −0.0856684 + 0.325545i
\(789\) 2.54736 + 17.7173i 0.0906883 + 0.630751i
\(790\) −0.602425 42.6028i −0.0214333 1.51574i
\(791\) −4.99642 7.77459i −0.177652 0.276432i
\(792\) −4.89412 5.18634i −0.173905 0.184289i
\(793\) 23.3703 + 10.6729i 0.829905 + 0.379005i
\(794\) 0.0509008 0.393437i 0.00180640 0.0139626i
\(795\) −2.39464 + 16.6551i −0.0849290 + 0.590694i
\(796\) 4.75777 11.2494i 0.168635 0.398725i
\(797\) 19.1676 + 5.62812i 0.678951 + 0.199358i 0.602985 0.797752i \(-0.293978\pi\)
0.0759661 + 0.997110i \(0.475796\pi\)
\(798\) 0.476344 + 1.00519i 0.0168624 + 0.0355833i
\(799\) 6.59354 + 7.60935i 0.233263 + 0.269200i
\(800\) 44.2505 + 33.1740i 1.56449 + 1.17288i
\(801\) 12.6528 + 10.9637i 0.447066 + 0.387385i
\(802\) 20.1498 13.3558i 0.711514 0.471609i
\(803\) 12.4628 5.69157i 0.439802 0.200851i
\(804\) −16.6943 24.4293i −0.588762 0.861556i
\(805\) −5.05349 + 35.3472i −0.178112 + 1.24582i
\(806\) −7.66544 24.8032i −0.270004 0.873656i
\(807\) −19.3559 + 8.83952i −0.681358 + 0.311166i
\(808\) −8.98072 + 22.1002i −0.315941 + 0.777483i
\(809\) −0.582836 + 0.672629i −0.0204914 + 0.0236484i −0.765903 0.642956i \(-0.777708\pi\)
0.745411 + 0.666605i \(0.232253\pi\)
\(810\) 1.45767 5.23721i 0.0512175 0.184017i
\(811\) −19.0968 22.0388i −0.670578 0.773889i 0.313888 0.949460i \(-0.398368\pi\)
−0.984467 + 0.175571i \(0.943823\pi\)
\(812\) 26.5214 24.3274i 0.930719 0.853725i
\(813\) 4.57779 15.5905i 0.160550 0.546783i
\(814\) −5.14880 + 6.11462i −0.180465 + 0.214317i
\(815\) −2.70784 + 18.8334i −0.0948515 + 0.659707i
\(816\) −9.37708 + 9.10279i −0.328264 + 0.318662i
\(817\) −1.14457 + 2.50626i −0.0400434 + 0.0876829i
\(818\) −25.0951 + 3.97107i −0.877431 + 0.138845i
\(819\) −2.43737 3.79262i −0.0851686 0.132525i
\(820\) −24.5931 + 7.98313i −0.858827 + 0.278783i
\(821\) 15.2162 2.18776i 0.531050 0.0763534i 0.128426 0.991719i \(-0.459007\pi\)
0.402624 + 0.915366i \(0.368098\pi\)
\(822\) −9.11971 5.68030i −0.318086 0.198123i
\(823\) −15.3069 + 23.8180i −0.533564 + 0.830242i −0.998480 0.0551125i \(-0.982448\pi\)
0.464916 + 0.885355i \(0.346085\pi\)
\(824\) 0.552525 0.103524i 0.0192481 0.00360644i
\(825\) 6.94428 + 23.6501i 0.241769 + 0.823389i
\(826\) −0.722205 + 0.643896i −0.0251287 + 0.0224040i
\(827\) 24.2132i 0.841977i −0.907066 0.420988i \(-0.861683\pi\)
0.907066 0.420988i \(-0.138317\pi\)
\(828\) −6.48927 7.06324i −0.225518 0.245465i
\(829\) 46.0509i 1.59941i −0.600392 0.799706i \(-0.704989\pi\)
0.600392 0.799706i \(-0.295011\pi\)
\(830\) −5.24015 5.87744i −0.181888 0.204009i
\(831\) −3.17781 10.8226i −0.110237 0.375433i
\(832\) −8.70373 + 16.4618i −0.301748 + 0.570710i
\(833\) −5.73820 + 8.92882i −0.198817 + 0.309365i
\(834\) −3.51112 + 5.63709i −0.121580 + 0.195196i
\(835\) 46.9084 6.74441i 1.62333 0.233400i
\(836\) 1.94763 0.632217i 0.0673600 0.0218657i
\(837\) −4.26378 6.63458i −0.147378 0.229324i
\(838\) 2.44544 + 15.4539i 0.0844763 + 0.533848i
\(839\) 6.75001 14.7805i 0.233036 0.510278i −0.756599 0.653879i \(-0.773141\pi\)
0.989636 + 0.143600i \(0.0458680\pi\)
\(840\) 18.7674 9.55250i 0.647536 0.329592i
\(841\) 8.15674 56.7314i 0.281267 1.95625i
\(842\) −11.4149 9.61187i −0.393383 0.331247i
\(843\) 2.49500 8.49718i 0.0859323 0.292659i
\(844\) 15.2694 + 16.6464i 0.525593 + 0.572994i
\(845\) 19.0865 + 22.0270i 0.656595 + 0.757751i
\(846\) 4.19866 + 1.16861i 0.144353 + 0.0401778i
\(847\) −5.88991 + 6.79732i −0.202380 + 0.233559i
\(848\) 1.50813 17.4440i 0.0517895 0.599028i
\(849\) 10.4808 4.78644i 0.359702 0.164270i
\(850\) 43.1585 13.3381i 1.48032 0.457494i
\(851\) −7.03465 + 8.13147i −0.241145 + 0.278743i
\(852\) −9.31803 13.6354i −0.319230 0.467141i
\(853\) 25.5561 11.6711i 0.875024 0.399610i 0.0733041 0.997310i \(-0.476646\pi\)
0.801720 + 0.597699i \(0.203918\pi\)
\(854\) 16.7037 + 25.2008i 0.571590 + 0.862355i
\(855\) 1.17976 + 1.02226i 0.0403468 + 0.0349607i
\(856\) 45.8178 15.5924i 1.56602 0.532936i
\(857\) 27.4960 + 31.7320i 0.939244 + 1.08395i 0.996332 + 0.0855766i \(0.0272732\pi\)
−0.0570873 + 0.998369i \(0.518181\pi\)
\(858\) −7.49967 + 3.55398i −0.256034 + 0.121331i
\(859\) 43.1375 + 12.6663i 1.47183 + 0.432169i 0.916694 0.399590i \(-0.130847\pi\)
0.555138 + 0.831758i \(0.312666\pi\)
\(860\) 48.0415 + 20.3184i 1.63820 + 0.692852i
\(861\) −0.927036 + 6.44768i −0.0315933 + 0.219736i
\(862\) 1.69928 + 0.219844i 0.0578777 + 0.00748791i
\(863\) −7.77080 3.54881i −0.264521 0.120803i 0.278740 0.960367i \(-0.410083\pi\)
−0.543261 + 0.839564i \(0.682811\pi\)
\(864\) −1.20633 + 5.52673i −0.0410402 + 0.188023i
\(865\) 26.4070 + 41.0901i 0.897865 + 1.39710i
\(866\) −29.9996 + 0.424209i −1.01943 + 0.0144152i
\(867\) −0.900225 6.26120i −0.0305732 0.212642i
\(868\) 7.77471 29.5443i 0.263891 1.00280i
\(869\) −10.6829 + 16.6230i −0.362394 + 0.563896i
\(870\) 20.3294 46.2341i 0.689230 1.56748i
\(871\) −33.0410 + 9.70171i −1.11955 + 0.328730i
\(872\) −13.5835 + 54.7520i −0.459994 + 1.85414i
\(873\) 7.67415i 0.259731i
\(874\) 2.63082 0.815345i 0.0889886 0.0275794i
\(875\) −35.5633 −1.20226
\(876\) −9.30581 5.61517i −0.314414 0.189719i
\(877\) 8.53388 + 29.0637i 0.288169 + 0.981412i 0.968605 + 0.248605i \(0.0799722\pi\)
−0.680436 + 0.732807i \(0.738210\pi\)
\(878\) −1.25722 + 2.85924i −0.0424292 + 0.0964947i
\(879\) 15.6663 + 10.0681i 0.528410 + 0.339588i
\(880\) −13.0068 36.5188i −0.438458 1.23105i
\(881\) 3.70363 0.532502i 0.124779 0.0179405i −0.0796425 0.996823i \(-0.525378\pi\)
0.204421 + 0.978883i \(0.434469\pi\)
\(882\) 0.0649578 + 4.59374i 0.00218724 + 0.154679i
\(883\) 4.73665 3.04406i 0.159401 0.102441i −0.458508 0.888690i \(-0.651616\pi\)
0.617910 + 0.786249i \(0.287980\pi\)
\(884\) 6.70696 + 13.6509i 0.225579 + 0.459131i
\(885\) −0.564075 + 1.23515i −0.0189612 + 0.0415192i
\(886\) −46.4380 6.00790i −1.56011 0.201839i
\(887\) −28.5847 4.10987i −0.959782 0.137996i −0.355421 0.934706i \(-0.615662\pi\)
−0.604361 + 0.796711i \(0.706571\pi\)
\(888\) 6.30931 + 0.635470i 0.211726 + 0.0213250i
\(889\) 1.12001 3.81439i 0.0375638 0.127931i
\(890\) 38.9757 + 82.2471i 1.30647 + 2.75693i
\(891\) −1.90538 + 1.65102i −0.0638325 + 0.0553112i
\(892\) −1.44060 50.9285i −0.0482347 1.70521i
\(893\) −0.819546 + 0.945807i −0.0274251 + 0.0316502i
\(894\) −10.1905 15.3743i −0.340821 0.514194i
\(895\) −26.7208 58.5104i −0.893178 1.95579i
\(896\) −18.9357 + 11.0281i −0.632598 + 0.368423i
\(897\) −10.1505 + 4.64533i −0.338915 + 0.155103i
\(898\) −7.24325 23.4371i −0.241710 0.782107i
\(899\) −30.4376 66.6491i −1.01515 2.22287i
\(900\) 12.3817 15.1335i 0.412722 0.504449i
\(901\) −10.8082 9.36533i −0.360072 0.312004i
\(902\) 11.5522 + 3.21533i 0.384647 + 0.107059i
\(903\) 9.93135 8.60557i 0.330495 0.286375i
\(904\) 11.6526 + 6.80836i 0.387559 + 0.226443i
\(905\) 80.9666 + 23.7739i 2.69142 + 0.790272i
\(906\) −9.80968 + 11.6498i −0.325905 + 0.387039i
\(907\) −4.51223 0.648761i −0.149826 0.0215418i 0.0669935 0.997753i \(-0.478659\pi\)
−0.216820 + 0.976212i \(0.569568\pi\)
\(908\) 31.9768 5.52456i 1.06119 0.183339i
\(909\) 7.67193 + 3.50365i 0.254462 + 0.116209i
\(910\) −3.83056 24.2072i −0.126982 0.802461i
\(911\) 1.06497 0.684415i 0.0352840 0.0226757i −0.522880 0.852406i \(-0.675142\pi\)
0.558164 + 0.829731i \(0.311506\pi\)
\(912\) −1.28579 0.992644i −0.0425768 0.0328697i
\(913\) 0.519707 + 3.61464i 0.0171998 + 0.119627i
\(914\) 28.9784 + 18.0495i 0.958521 + 0.597025i
\(915\) 35.6942 + 22.9393i 1.18001 + 0.758349i
\(916\) −5.48616 + 47.6958i −0.181268 + 1.57592i
\(917\) 25.6964 7.54514i 0.848569 0.249162i
\(918\) 3.07484 + 3.44879i 0.101485 + 0.113827i
\(919\) 19.1301 0.631044 0.315522 0.948918i \(-0.397820\pi\)
0.315522 + 0.948918i \(0.397820\pi\)
\(920\) −16.8380 49.3495i −0.555132 1.62701i
\(921\) −12.7373 −0.419708
\(922\) −25.4109 28.5013i −0.836863 0.938640i
\(923\) −18.4421 + 5.41508i −0.607028 + 0.178239i
\(924\) −9.70233 1.11600i −0.319183 0.0367137i
\(925\) −18.4392 11.8502i −0.606278 0.389631i
\(926\) 17.7238 + 11.0394i 0.582440 + 0.362779i
\(927\) −0.0282846 0.196724i −0.000928988 0.00646125i
\(928\) −18.4008 + 49.2289i −0.604036 + 1.61602i
\(929\) −5.69647 + 3.66090i −0.186895 + 0.120110i −0.630743 0.775992i \(-0.717250\pi\)
0.443847 + 0.896102i \(0.353613\pi\)
\(930\) −6.70094 42.3465i −0.219732 1.38860i
\(931\) −1.20002 0.548029i −0.0393290 0.0179609i
\(932\) 5.95337 + 34.4589i 0.195009 + 1.12874i
\(933\) 24.5186 + 3.52524i 0.802702 + 0.115411i
\(934\) −20.2993 + 24.1071i −0.664214 + 0.788808i
\(935\) −30.3811 8.92070i −0.993569 0.291738i
\(936\) 5.68439 + 3.32127i 0.185800 + 0.108559i
\(937\) 28.1904 24.4271i 0.920939 0.797998i −0.0588014 0.998270i \(-0.518728\pi\)
0.979740 + 0.200271i \(0.0641824\pi\)
\(938\) −39.0396 10.8659i −1.27469 0.354785i
\(939\) −12.3775 10.7252i −0.403926 0.350004i
\(940\) 18.3373 + 15.0029i 0.598097 + 0.489342i
\(941\) 8.47818 + 18.5646i 0.276381 + 0.605189i 0.996017 0.0891618i \(-0.0284188\pi\)
−0.719637 + 0.694351i \(0.755692\pi\)
\(942\) −2.28716 7.40061i −0.0745197 0.241125i
\(943\) 15.4795 + 4.53183i 0.504081 + 0.147577i
\(944\) 0.513370 1.31639i 0.0167088 0.0428449i
\(945\) −3.09290 6.77252i −0.100612 0.220310i
\(946\) −13.3650 20.1637i −0.434533 0.655578i
\(947\) −22.3022 + 25.7381i −0.724723 + 0.836375i −0.991867 0.127282i \(-0.959375\pi\)
0.267144 + 0.963657i \(0.413920\pi\)
\(948\) 15.6688 0.443218i 0.508899 0.0143950i
\(949\) −9.55961 + 8.28345i −0.310318 + 0.268892i
\(950\) 2.40443 + 5.07385i 0.0780099 + 0.164618i
\(951\) −6.43521 + 21.9163i −0.208676 + 0.710685i
\(952\) −1.79364 + 17.8083i −0.0581323 + 0.577170i
\(953\) 41.8645 + 6.01921i 1.35612 + 0.194981i 0.781740 0.623605i \(-0.214332\pi\)
0.574384 + 0.818586i \(0.305242\pi\)
\(954\) −6.13921 0.794259i −0.198764 0.0257151i
\(955\) −23.0742 + 50.5255i −0.746665 + 1.63497i
\(956\) −16.8894 + 8.29805i −0.546241 + 0.268378i
\(957\) −19.7048 + 12.6635i −0.636966 + 0.409353i
\(958\) −0.159204 11.2587i −0.00514364 0.363752i
\(959\) −14.5649 + 2.09412i −0.470325 + 0.0676226i
\(960\) −18.0967 + 24.8639i −0.584068 + 0.802478i
\(961\) −26.2449 16.8666i −0.846611 0.544084i
\(962\) 2.97056 6.75580i 0.0957746 0.217816i
\(963\) −4.82083 16.4183i −0.155349 0.529071i
\(964\) −22.7748 + 37.7439i −0.733528 + 1.21565i
\(965\) 93.0789 2.99632
\(966\) −13.0292 1.67512i −0.419206 0.0538961i
\(967\) 21.8208i 0.701709i 0.936430 + 0.350854i \(0.114109\pi\)
−0.936430 + 0.350854i \(0.885891\pi\)
\(968\) 3.16262 12.7479i 0.101651 0.409732i
\(969\) −1.27304 + 0.373797i −0.0408958 + 0.0120081i
\(970\) −16.7923 + 38.1900i −0.539170 + 1.22621i
\(971\) −20.3659 + 31.6899i −0.653573 + 1.01698i 0.343397 + 0.939190i \(0.388422\pi\)
−0.996970 + 0.0777886i \(0.975214\pi\)
\(972\) 1.93415 + 0.508980i 0.0620379 + 0.0163255i
\(973\) 1.29442 + 9.00288i 0.0414972 + 0.288619i
\(974\) −21.8958 + 0.309618i −0.701587 + 0.00992080i
\(975\) −12.3030 19.1439i −0.394012 0.613095i
\(976\) −38.4324 21.7323i −1.23019 0.695632i
\(977\) −15.5321 7.09327i −0.496916 0.226934i 0.151161 0.988509i \(-0.451699\pi\)
−0.648076 + 0.761575i \(0.724426\pi\)
\(978\) −6.94219 0.898144i −0.221987 0.0287195i
\(979\) 6.00707 41.7801i 0.191987 1.33530i
\(980\) −9.72863 + 23.0027i −0.310770 + 0.734794i
\(981\) 19.1367 + 5.61904i 0.610988 + 0.179402i
\(982\) −48.5614 + 23.0125i −1.54966 + 0.734360i
\(983\) −32.8074 37.8617i −1.04639 1.20760i −0.977709 0.209963i \(-0.932666\pi\)
−0.0686833 0.997639i \(-0.521880\pi\)
\(984\) −3.06462 9.00531i −0.0976964 0.287079i
\(985\) 13.7261 + 11.8938i 0.437351 + 0.378967i
\(986\) 23.7163 + 35.7807i 0.755281 + 1.13949i
\(987\) 5.42951 2.47958i 0.172823 0.0789258i
\(988\) −1.56084 + 1.06663i −0.0496569 + 0.0339340i
\(989\) −17.6134 27.3591i −0.560073 0.869969i
\(990\) −13.0947 + 4.04693i −0.416178 + 0.128620i
\(991\) −15.4872 + 7.07277i −0.491967 + 0.224674i −0.645921 0.763404i \(-0.723527\pi\)
0.153954 + 0.988078i \(0.450799\pi\)
\(992\) 9.45257 + 43.6001i 0.300119 + 1.38430i
\(993\) 4.20755 4.85577i 0.133522 0.154093i
\(994\) −21.7902 6.06489i −0.691145 0.192367i
\(995\) −15.3734 17.7418i −0.487369 0.562454i
\(996\) 2.13483 1.95822i 0.0676446 0.0620487i
\(997\) −2.95592 + 10.0669i −0.0936150 + 0.318823i −0.992965 0.118405i \(-0.962222\pi\)
0.899350 + 0.437229i \(0.144040\pi\)
\(998\) 35.9967 + 30.3109i 1.13946 + 0.959476i
\(999\) 0.319065 2.21914i 0.0100948 0.0702106i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 552.2.t.b.19.6 240
8.3 odd 2 inner 552.2.t.b.19.24 yes 240
23.17 odd 22 inner 552.2.t.b.523.24 yes 240
184.155 even 22 inner 552.2.t.b.523.6 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
552.2.t.b.19.6 240 1.1 even 1 trivial
552.2.t.b.19.24 yes 240 8.3 odd 2 inner
552.2.t.b.523.6 yes 240 184.155 even 22 inner
552.2.t.b.523.24 yes 240 23.17 odd 22 inner